============================== Prover9 =============================== Prover9 (64) version 2017-09A, September 2017. Process 26837 was started by veroff on b146-23, Sun Jul 18 10:56:48 2021 The command was "prover9 -f mbol_KK_to_aK1.in". ============================== end of head =========================== ============================== INPUT ================================= % Reading from file mbol_KK_to_aK1.in clear(auto_denials). assign(max_proofs,1). 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 * 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). 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 * z) \ x) = (x / z) * (y \ x) # label("middle Bol"). K(K(x,y),z) = 1 # label("KK"). end_of_list. formulas(goals). a(K(x,y),z,u) = 1 # label("aK1"). end_of_list. formulas(assumptions). x * y != u | x * z != u | y = z # label("*-Cancellation 1"). y * x != u | z * x != u | y = z # label("*-Cancellation 2"). x / y != u | x / z != u | y = z # label("/-Cancellation 1"). y / x != u | z / x != u | y = z # label("/-Cancellation 2"). x \ y != u | x \ z != u | y = z # label("\-Cancellation 1"). y \ x != u | z \ x != u | y = z # label("\-Cancellation 2"). T(x,y) != u | T(z,y) != u | x = z # label("T-Cancellation 1"). L(z,x,y) != u | L(w,x,y) != u | z = w # label("L-Cancellation 1"). R(z,x,y) != u | R(w,x,y) != u | z = w # label("R-Cancellation 1"). x * y != x * z | y = z # label("*-Cancellation 3"). y * x != z * x | y = z # label("*-Cancellation 4"). x / y != x / z | y = z # label("/-Cancellation 3"). y / x != z / x | y = z # label("/-Cancellation 4"). x \ y != x \ z | y = z # label("\-Cancellation 3"). y \ x != z \ x | y = z # label("\-Cancellation 4"). T(x,y) != T(z,y) | x = z # label("T-Cancellation 2"). L(z,x,y) != L(w,x,y) | z = w # label("L-Cancellation 2"). R(z,x,y) != R(w,x,y) | z = w # label("R-Cancellation 2"). 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. x != y | x * z = y * z # label("Aux 1"). x != y | z * x = z * y # label("Aux 2"). x != y | x / z = y / z # label("Aux 3"). x != y | z / x = z / y # label("Aux 4"). x != y | x \ z = y \ z # label("Aux 5"). x != y | z \ x = z \ y # label("Aux 6"). x != y | y != z | x = z # label("Transitivity ="). end_of_list. formulas(hints). a(K(x,y),z,u) = 1. 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 * 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). 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 * z) \ x) = (x / z) * (y \ x). (x / y) * (z \ x) = x * ((z * y) \ x). K(K(x,y),z) = 1. x * y != z | x * u != z | y = u. x * y != z | u * y != z | x = u. x / y != z | x / u != z | y = u. x / y != z | u / y != z | x = u. x \ y != z | x \ u != z | y = u. x \ y != z | u \ y != z | x = u. T(x,y) != z | T(u,y) != z | x = u. L(x,y,z) != u | L(w,y,z) != u | x = w. R(x,y,z) != u | R(w,y,z) != u | x = w. x * y != x * z | y = z. x * y != z * y | x = z. x / y != x / z | y = z. x / y != z / y | x = z. x \ y != x \ z | y = z. x \ y != z \ y | x = z. T(x,y) != T(z,y) | x = z. L(x,y,z) != L(u,y,z) | x = u. R(x,y,z) != R(u,y,z) | x = u. 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. x != y | x * z = y * z. x != y | z * x = z * y. x != y | x \ z = y \ z. x != y | z \ x = z \ y. x != y | y != z | x = z. a(K(c1,c2),c3,c4) != 1. 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 / (y \ x) = y. ((1 / x) * x) * y = y. x * ((1 / y) * y) = x. (x / y) \ x = y. (((x * y) / z) * z) / y = x. (((x / y) / z) * z) * y = x. (x * (y * z)) * a(x,y,z) = (x * y) * z. a(x,y,y \ z) = (x * z) \ ((x * y) * (y \ z)). (x * y) \ ((x * z) * (z \ y)) = a(x,z,z \ y). 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,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,y,1) = y \ (1 * (y * x)). x \ (1 * (x * y)) = L(y,x,1). 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,y \ z) = ((x * y) * (y \ z)) / z. ((x * y) * (y \ z)) / z = R(x,y,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). (1 / x) * (y \ 1) = (y * x) \ 1. ((x * y) / z) * y = (x * y) * ((x * z) \ (x * y)). (x * y) * ((x * z) \ (x * y)) = ((x * y) / z) * y. (x * ((y * z) \ x)) / (y \ x) = x / z. x * (y \ (x * z)) = (x * z) * ((y * z) \ (x * z)). (x * y) * ((z * y) \ (x * y)) = x * (z \ (x * y)). K(1,x) = 1. 1 * x != y | z != y | x = z. x != y | x * z != y | 1 = z. x != y | z * u != y | z \ x = u. x != y | z * u != y | x / u = z. x != y | z / u != y | x * u = z. x != y | z \ u != y | z * x = u. x != 1 * y | x = y. 1 * x != y | y = x. 1 * x != y | x = y. x != x * y | 1 = y. x * y != x | 1 = 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 != (x / y) * z | y = z. (x / y) * z != x | y = z. x != y * 1 | x = y. x * 1 != y | y = x. x * 1 != y | x = y. x * (y \ z) != z | x = y. x != y * z | x / z = y. x * y != z | z / y = x. x != y / z | x * z = y. x / y != z | z * y = x. x != y \ z | y * x = z. x \ y != z | x * z = y. T(x,y) != y \ z | x * y = z. (T(x,y) / z) * z != T(u,y) | x = u. T(x,y) != (T(z,y) / u) * u | z = x. L(T(x,y),z,u) != T(w,y) | L(x,z,u) = w. T(x,y) != L(T(z,y),u,w) | L(z,u,w) = x. T(L(x,y,z),u) != L(w,y,z) | T(x,u) = w. L(L(x,y,z),u,w) != L(v5,y,z) | L(x,u,w) = v5. T(K(x,y),z) = K(x,y). ((x / y) * y) * z = x * z. (x * (x \ y)) * z = y * z. x * (y * (y \ z)) = x * z. (x * (x \ y)) \ z = y \ z. x != y | (x / z) * z = y. (x / y) * y = (x * z) / z. (x * y) / y = (x / z) * z. (x / y) * y = z * (z \ x). (x / y) * y = x * 1. x != y | (x * z) / z = y. (x * y) / y = 1 * x. x != y | z * (z \ x) = y. x * (x \ y) = z \ (z * y). x \ (x * y) = z * (z \ y). x * (x \ y) = y * 1. (x * (x \ 1)) \ y = y. ((1 / x) * x) \ y = y. x != 1 \ y | x = y. 1 \ x != y | y = x. 1 != x | y \ y = x. x \ x = 1 * 1. x * (y \ y) = x. (x / x) * y = y. x / (y * (y \ 1)) = x. x / ((1 / y) * y) = x. x != y / 1 | x = y. x / 1 != y | y = x. x / 1 != y | x = y. R(x,y,z) != T(R(u,y,z),w) | T(u,w) = x. T(x,R(x,y,z)) = x. L(x,y,z) != T(L(u,y,z),w) | T(u,w) = x. T(x,L(x,y,z)) = x. T(x,y) != T(T(z,y),u) | T(z,u) = x. T(x,T(x,y)) = x. T(x,y) = T(T(x,y),x). T(T(x,y),x) = T(x,y). T(1,x) = 1. T(x,1) = x. x != T(y,1) | x = y. T(x,1) != y | y = x. x != y | z / (x \ z) = y. x / (y \ x) = (y * z) / z. (x * y) / y = z / (x \ z). x / (y \ x) = z * (z \ y). (x / (y \ x)) * z = y * z. ((x * y) * z) / u != R(x,y,z) | y * z = u. x * y = R(z,x,y) \ ((z * x) * y). R(x,y,z) \ ((x * y) * 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) = z * ((y * (x \ z)) \ z). x * ((y * (z \ x)) \ x) = z * (y \ x). x != y / z | x \ y = z. x / y != z | z \ x = y. x / (y / ((z \ x) \ y)) = z. x != y | (z / x) \ z = y. (x / y) \ x = y / 1. (x / y) \ x = z * (z \ y). ((x / y) \ x) * z = y * z. ((x / (y / z)) \ x) \ y = z. (x / y) * z = x * (((x / z) * y) \ x). x * (((x / y) * z) \ x) = (x / z) * y. x != y | z \ u != y | u / x = z. x != y \ z | z / x = y. x \ y != z | y / z = x. (x / y) * (z \ x) != u | x * ((z * y) \ x) = u. x * ((x * y) \ x) = x / y. x * ((y * x) \ x) = y \ x. (x * (x \ 1)) * y != z | z = y. (1 / x) * (y \ 1) != z | z = (y * x) \ 1. (1 / x) * (y \ 1) != z | (y * x) \ 1 = z. x \ x != y | y = 1. x \ x != y | 1 = y. x != y / y | 1 = x. x / x != y | 1 = y. x * (y * (y \ 1)) != z | x = z. (x * (x \ 1)) \ y != z | z = y. a(x,x \ 1,y) = (x * ((x \ 1) * y)) \ y. (x * ((x \ 1) * y)) \ y = a(x,x \ 1,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. a(1 / x,x,y) = ((1 / x) * (x * y)) \ y. ((1 / x) * (x * y)) \ y = a(1 / x,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). x * (y * T(z,y)) = x * (z * y). x * y != ((x * z) / u) * u | z = y. x = T((y * x) / y,y). T((x * y) / x,x) = y. x * (y * (y \ T(z,x))) = z * x. a(x,T(y,x),z) = (x * (T(y,x) * z)) \ ((y * x) * z). (x * (T(y,x) * z)) \ ((y * x) * z) = a(x,T(y,x),z). a(x,y,T(z,x * y)) = (x * (y * T(z,x * y))) \ (z * (x * y)). (x * (y * T(z,x * y))) \ (z * (x * y)) = a(x,y,T(z,x * y)). L(x,T(y,z),z) = (y * z) \ (z * (T(y,z) * x)). (x * y) \ (y * (T(x,y) * z)) = L(z,T(x,y),y). L(T(x,y),y,z) = (z * y) \ (z * (x * y)). (x * y) \ (x * (z * y)) = L(T(z,y),y,x). R(x,y,T(z,y)) = ((x * y) * T(z,y)) / (z * y). ((x * y) * T(z,y)) / (z * y) = R(x,y,T(z,y)). T(x,T(y,x)) = T(y,x) \ (y * x). T(x,y) \ (x * y) = T(y,T(x,y)). x * T(T(y,x),z) = T(y,z) * x. x * L(T(y,x),z,u) = L(y,z,u) * x. x * R(T(y,x),z,u) = R(y,z,u) * x. x * y != z | y * u != z | T(x,y) = u. x * y != y * z | T(x,y) = z. x * y != z * x | T(z,x) = y. x * y != y * T(z,y) | x = z. x * T(y,x) != z * x | z = y. R(x,y,z) * x = x * R(x,y,z). L(x,y,z) * x = x * L(x,y,z). x \ y != z | T(y / x,x) = z. T(x / (x / y),x / y) = y. 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). x \ y != T(z,x) | y / x = z. T(x,y) != y \ z | z / y = x. T(x,y) != z | y \ (x * y) = z. x \ (K(y,z) * x) = K(y,z). K(x,y) != z | T(K(x,y),u) = z. T(K(x,y),z) = T(K(x,y),u). T(x,K(y,z)) = x. K(x,y) != T(z,u) | K(x,y) = z. T(x,y) != K(z,u) | K(z,u) = x. x * K(y,z) = K(y,z) * x. K(x,y) * z = z * K(x,y). T(T(K(x,y),z),u) = K(x,y). x != y | T(x,K(z,u)) = y. T(T(x,K(y,z)),K(u,w)) = x. T(x / y,y) != z | y \ x = z. K(x,y) \ z = z / K(x,y). x / K(y,z) = K(y,z) \ x. K(x,y) \ (z * K(x,y)) = z. T(x,K(y,z)) = 1 \ x. T(x,K(y,z)) = x * 1. K(x,K(y,z)) = 1. x \ y != T(z,x) | z * x = y. (K(x,y) \ z) * K(x,y) = z. x != T(y,K(z,u)) | x = y. T(x,K(y,z)) != u | u = x. x * 1 != y * z | x / z = y. (x / y) * y != z | z = x. (x / y) * y != z | x = z. (x * y) / y != z | z = x. (x * y) / y != z | x = z. x * 1 != y * z | y \ x = z. x * (x \ y) != z | z = y. x * (x \ y) != z | y = z. (x * y) \ (x * (y * z)) != u | L(z,y,x) = u. L(x,y \ 1,y) = y * ((y \ 1) * x). x * ((x \ 1) * y) = L(y,x \ 1,x). L(x,y,1 / y) = (1 / y) * (y * x). (1 / x) * (x * y) = L(y,x,1 / x). ((x * y) * z) / (y * z) != u | R(x,y,z) = u. 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). x / T(y,y \ x) = y \ x. (K(x,y) * z) / K(x,y) = z. (x * K(y,z)) / x = K(y,z). (x / y) \ x != z | z = y. (x / y) \ x != z | y = z. T(x,y) = (z * T(T(x,z),y)) / z. (x * T(T(y,x),z)) / x = T(y,z). x != T(y,z) | (z * x) / z = y. T(x,y) != z | (y * z) / y = x. T(x,K(y,z)) = K(u,K(w,v5)) \ x. T(x,K(y,z)) = x * K(u,K(w,v5)). T(T(x,K(y,z)),K(u,w)) != v5 | v5 = x. R(x,y,z) * (y * z) != u | u = (x * y) * z. R(x,y,z) * (y * z) != u | (x * y) * z = u. x * T(y,x) != z | z = y * x. x * T(y,x) != z | y * x = z. x / (y \ x) != z | z = y. (x * T(y,x)) / x != z | y = z. (x * y) * K(y,x) != z | z = y * x. (x * y) * K(y,x) != z | y * x = z. (x * y) * L(z,y,x) != u | u = x * (y * z). (x * y) * L(z,y,x) != u | x * (y * z) = u. x \ (x * y) != z | z = y. x \ (y * x) != z | z = T(y,x). x \ (y * x) != z | T(y,x) = z. x \ (x * y) != z | y = z. T((x * y) / x,x) != z | y = z. (x / y) \ (z * (z \ x)) = y. x \ ((x * y) * L(z,y,x)) = y * z. L(x \ (y \ z),x,y) = (y * x) \ z. (R(x,y,z) * (y * z)) / z = x * y. R((x / y) / z,z,y) = x / (z * y). ((x / y) * y) * (x \ z) = z. x * K(y \ x,y) = (y \ x) * y. L(x,K(y,z),z * y) = (y * z) \ ((z * y) * (K(y,z) * x)). (x * y) \ ((y * x) * (K(x,y) * z)) = L(z,K(x,y),y * x). 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). (x * y) \ (y * x) != z | z = K(y,x). (x * y) \ (y * x) != z | K(y,x) = z. T(K(x,y),z) != u | K(x,y) = u. K(x,y) = (K(x,y) \ z) \ z. (K(x,y) \ z) \ z = K(x,y). x \ T(y,y \ z) = x \ ((y \ z) \ z). T(x,x \ y) * z = ((x \ y) \ y) * z. x != y | z != y | x = z. x = (x / (y * (y \ z))) * z. (x / (y * (y \ z))) * z = x. (x / y) * y != z / u | x * u = z. x / y != (z / u) * u | z * y = x. ((x / y) * y) * z != u | u = x * z. ((x / y) * y) * z != u | x * z = u. (x / y) * y != z * u | z \ x = u. x * (x \ y) != z * u | y / u = z. x * (x \ y) != z \ u | z * y = u. x \ y != z * (z \ u) | x * u = y. x * (y * (y \ z)) != u | u = x * z. x * (y * (y \ z)) != u | x * z = u. (x / (y \ x)) * z != u | u = y * z. (x / (y \ x)) * z != u | y * z = u. x / (y \ x) != z * u | z \ y = u. (x * (x \ y)) \ z != u | u = y \ z. (x * (x \ y)) \ z != u | y \ z = u. x != (1 / y) * (z \ 1) | (z * y) \ 1 = x. (x * (y \ 1)) \ 1 = y * (x \ 1). x * (x \ y) != z \ u | u / y = z. x \ y != z * (z \ u) | y / u = x. x \ (x / y) = (x * y) \ x. (x * y) \ x = x \ (x / y). 1 * (x \ 1) = 1 / x. x * (y \ x) = x / (x \ y). x / (x \ y) = x * (y \ x). x * x = x / (x \ 1). x / (x \ 1) = x * x. x \ 1 = 1 / x. 1 / x = x \ 1. x != 1 / y | y \ 1 = x. (x \ 1) \ 1 = x. x / y != 1 * z | z * y = x. (x \ 1) * x = 1. 1 / x != y | y = x \ 1. 1 / x != y | x \ 1 = y. x != (y / z) \ y | z = x. x = 1 / (1 / x). 1 / (1 / x) = x. T(x \ 1,x) = x \ 1. x \ 1 != y | y \ 1 = x. (x \ 1) \ 1 != y | y = x. (x \ 1) \ 1 != y | x = y. x != y | T(y,K(z,u)) = x. T(x,K(y,z)) = (x \ 1) \ 1. x != (y * (z * u)) \ ((y * z) * u) | a(y,z,u) = x. a(x,y,z) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. x != y | (y \ 1) \ 1 = x. (x \ 1) \ 1 = 1 / (1 / x). 1 / (1 / x) = (x \ 1) \ 1. K(x \ 1,x) = 1. x != 1 | K(y \ 1,y) = x. K(x \ 1,x) = K(y \ 1,y). x != 1 | (y \ 1) * y = x. (x \ 1) * x = K(y \ 1,y). K(x \ 1,x) = (y \ 1) * y. x * K(y \ 1,y) = x. K(x,x \ 1) = 1. K(x \ 1,x) = K(y,y \ 1). K(x,x \ 1) * (y \ 1) = 1 / y. x != y | 1 / (1 / y) = x. 1 / (1 / x) = x * K(y \ 1,y). x * K(y \ 1,y) = 1 / (1 / x). x != (y \ 1) \ 1 | y = x. x = ((x \ 1) \ 1) * K(y \ 1,y). ((x \ 1) \ 1) * K(y \ 1,y) = x. x \ 1 = (1 / x) * K(y \ 1,y). (1 / x) * K(y \ 1,y) = x \ 1. x \ (y \ x) = (y * x) \ x. (x * y) \ y = y \ (x \ y). x * (y \ x) = (y / x) \ x. (x / y) \ y = y * (x \ y). (x \ 1) * (x \ 1) = x \ (x \ 1). (x * y) \ z != K(y,x) | y * x = z. x * y = K(x,y) * (y * x). K(x,y) * (y * x) = x * y. x * K(y,z) != K(y,z) * u | x = u. K(x,y) * z != u * K(x,y) | u = z. x * K(y,z) != u | u = K(y,z) * x. x * K(y,z) != u | K(y,z) * x = u. (x * K(y,z)) * u = (K(y,z) * x) * u. (K(x,y) * z) * u = (z * K(x,y)) * u. x * (y * K(z,u)) = x * (K(z,u) * y). x * (K(y,z) * u) = x * (u * K(y,z)). x * T(K(y,z),u) = K(y,z) * x. T(x * K(y,z),K(u,w)) = K(y,z) * x. L(x,K(y,z),u) = (u * K(y,z)) \ (u * (x * K(y,z))). (x * K(y,z)) \ (x * (u * K(y,z))) = L(u,K(y,z),x). x * K(y,z) != u * x | K(y,z) = u. x * K(y,z) != u | K(y,z) \ u = x. K(x,y) != z | z = T(K(x,y),u). x != T(y,K(z,u)) | T(x,K(w,v5)) = y. T(x,K(y,z)) != u | T(u,K(w,v5)) = x. (x * y) / K(x,y) != z | y * x = z. x * y = K(y,x) \ (y * x). K(x,y) \ (x * y) = y * x. K(x,y) * z != u | u = z * K(x,y). K(x,y) * z != u | z * K(x,y) = u. (x * y) / (y * x) = K(x,y). K(x,y) = (x * y) / (y * x). R(x / y,y,x \ z) = z / (y * (x \ z)). R(x,y,y \ z) * z = (x * y) * (y \ z). (x * y) * (x \ (x / y)) = x. x * ((x * y) \ x) != z | z = x / y. x * ((x * y) \ x) != z | x / y = z. x != (y \ z) \ z | T(y,y \ z) = x. T(x,x \ 1) = T(x,K(y,z)). T(x,K(y,z)) = T(x,x \ 1). x != K(y,z) | T(K(y,z),u) = x. T(K(x \ 1,x),y) = K(z \ 1,z). K(x \ 1,x) * y = y * K(z \ 1,z). (x * y) * (y \ (x \ y)) = y. x / (x * (y \ x)) = y / x. K(x \ y,x) * y = (x \ y) * x. K(x,y / x) * y = x * (y / x). L(x,y * z,K(z,y)) = (z * y) \ (K(z,y) * ((y * z) * x)). (x * y) \ (K(x,y) * ((y * x) * z)) = L(z,y * x,K(x,y)). ((x \ y) * x) / y = K(x \ y,x). (x * y) \ x != z | z = x \ (x / y). (x * y) \ x != z | x \ (x / y) = z. x / (x * y) = (x / y) / x. (x / y) / x = x / (x * y). x / (x / y) = (x * y) / x. (x * y) / x = x / (x / y). (x / (x * y)) \ (x / y) = x. (x * (y \ x)) / x = x / y. (x / y) * x = x * (y \ x). (K(x,y) * z) / K(x,y) != u | z = u. x \ K(y,z) = K(y,z) / x. K(x,y) / z = z \ K(x,y). T(x / y,x) = y \ x. T(x \ y,z) = T(T(y / x,z),y). T(T(x / y,z),x) = T(y \ x,z). T(x,y) = (x \ y) \ y. T(x,x \ y) = T(x,y). T(R(x,y,z),u) != w | R(T(x,u),y,z) = w. R(T(x,y),z,u) = (R(x,z,u) \ y) \ y. (R(x,y,z) \ u) \ u = R(T(x,u),y,z). x / T(y,x) = y \ x. (x \ y) * T(x,y) = y. (x / y) * T(z,x) = x * (((z \ x) * y) \ x). x * (((y \ x) * z) \ x) = (x / z) * T(y,x). x / T(y,x) != z | z = y \ x. x / T(y,x) != z | y \ x = z. T(x \ y,y) = T(x,y) \ y. x != T(y,K(z,u)) | T(y,y \ 1) = x. T(x,x \ 1) = T(x,x \ K(y,z)). T(x,x \ K(y,z)) = T(x,x \ 1). x != T(y,R(y,z,u)) | y = x. x = T(x,x \ R(x,y,z)). T(x,x \ R(x,y,z)) = x. R(T(x,R(x,y,z) \ u),y,z) = T(R(x,y,z),u). T(x,y) = T(x,x * y). T(x,x * y) = T(x,y). x / L(T(y,x),z,u) = L(y,z,u) \ x. T(x,y) / x = x \ T(x,y). R(x,y,z) / x = x \ R(x,y,z). L(x,y,z) / x = x \ L(x,y,z). x / T(x,y) = T(x,y) \ x. (x \ y) \ y != z | z = T(x,y). (x \ y) \ y != z | T(x,y) = z. K(x,y) / ((z \ 1) \ 1) = z \ K(x,y). (x \ R(x,y,z)) * x = R(x,y,z). (x \ L(x,y,z)) * x = L(x,y,z). (x \ K(y,z)) * ((x \ 1) \ 1) = K(y,z). (x * (y \ x)) / x != z | z = x / y. (x * (y \ x)) / x != z | x / y = z. (x \ T(x,y)) * x != z | z = T(x,y). (x \ T(x,y)) * x != z | T(x,y) = z. (T(x,y) \ x) * x = x * (T(x,y) \ x). x \ (x * y) = L(y,x,1). x = L(x,y,1). L(x,y,1) = x. a(1,x,y) = 1. L(x,y,K(z,K(u,w))) = x. L(x,y,K(z \ 1,z)) = x. L(x,y,K(z,z \ 1)) = x. a(K(x,K(y,z)),u,w) = 1. L(x,y,K(z \ 1,z)) != u | x = u. x != 1 | K(y,K(z,u)) = x. K(x,K(y,z)) = a(K(u,K(w,v5)),v6,v7). x \ (x * y) = L(y,1,x). x = L(x,1,y). L(x,1,y) = x. L(x,1,y) != z | x = z. L(x,K(y,K(z,u)),w) != v5 | x = v5. 1 = L(1,x,y). L(1,x,y) = 1. a(x,y,1) = 1. (x * y) / y = R(x,1,y). x = R(x,1,y). R(x,1,y) = x. R(x,K(y,K(z,u)),w) = x. R(x,K(y,y \ 1),z) = x. (x * y) / y = R(x,y,1). x = R(x,y,1). R(x,y,1) = x. R(x,y,K(z \ 1,z)) = x. R(x,y,K(z,z \ 1)) = x. L(x,y \ 1,y) != z | z = y * ((y \ 1) * x). L(x,y \ 1,y) != z | y * ((y \ 1) * x) = z. x != (y * z) \ y | y \ (y / z) = x. x \ (x / y) = L(y \ 1,y,x). L(x \ 1,x,y) = y \ (y / x). x != ((1 / y) * y) \ z | z = x. 1 / x = L(x \ 1,x,1 / x). L(x \ 1,x,1 / x) = 1 / x. x != (y * (y \ z)) \ u | z \ u = x. x \ y = L((y \ x) \ 1,y \ x,y). L((x \ y) \ 1,x \ y,x) = y \ x. L(x,y,K(z,K(u,w))) != v5 | x = v5. x \ 1 = (K(y,K(z,u)) * x) \ K(y,K(z,u)). (K(x,K(y,z)) * u) \ K(x,K(y,z)) = u \ 1. x * L(y \ 1,y,z) = x * ((z * y) \ z). x / L(y \ 1,y,x) = x * y. (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)) | y = x. x \ 1 = R(1 / x,x,x \ 1). R(1 / x,x,x \ 1) = x \ 1. R(1 / x,x,y) \ y = x * y. R(1 / x,x,x \ y) = (x \ y) / y. 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 \ 1,x,y) = y / (x * y). 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 != z * u | x / u = z. x * (y * (y \ 1)) != z * u | z \ x = u. x * (x \ y) != z * u | z \ y = u. x * T(T(y,x),z) != u | T(y,z) * x = u. x * L(T(y,x),z,u) != w | L(y,z,u) * x = w. L(x,y,z) * x != u | x * L(x,y,z) = u. x * K(y,z) != u | T(K(y,z),w) * x = u. T(x / y,x) != z | y \ x = z. L(x,y,z) / x != u | x \ L(x,y,z) = u. T(x,x \ y) != z | T(x,y) = z. L(x \ 1,x,y) \ z = (y \ (y / x)) \ z. x * L(y \ 1,y,z) = x * (z \ (z / y)). R(x \ (x / y),z,u) = L(R(y \ 1,z,u),y,x). L(x,x \ 1,y) = y \ (y / (x \ 1)). L(x \ 1,x,x \ 1) = 1 / x. x \ (x / L(y \ 1,y,x)) = y. (x * y) \ x != z | z = L(y \ 1,y,x). (x * y) \ x != z | L(y \ 1,y,x) = z. L(L(x \ 1,x,y),y * x,z) = (z * (y * x)) \ (z * y). x * y != x / L(z \ 1,z,x) | z = y. x = L(L(x \ 1,x,y) \ 1,L(x \ 1,x,y),y). L(L(x \ 1,x,y) \ 1,L(x \ 1,x,y),y) = x. R(1 / x,x,1 / x) = x \ 1. R(x,x \ 1,y) \ y = (x \ 1) * y. T(x,y) != z | T(x,x * y) = z. T(x,T(y,x)) != z | T(x,y * x) = z. (x \ 1) * (y \ 1) = (y * x) \ 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 \ z)) * w | x \ (u * w) = y. x \ (y * (z \ x)) = (z * (y \ x)) \ x. (x * (y \ z)) \ z = z \ (y * (x \ z)). x * y != (z \ 1) \ 1 | z / y = x. x / K(y \ 1,y) = (x \ 1) \ 1. x * y != (z * (z \ u)) \ w | (u \ w) / y = x. (x \ 1) / (y \ 1) = 1 / (y \ x). x / y != R(R(z,u,w),v5,v6) | R(R(z,v5,v6),u,w) * y = x. R(R(x,y,z),u,w) * (y * z) = (R(x,u,w) * y) * z. x / y != R(z,u,K(w,w \ 1)) | z * y = x. x * (y * K(z,z \ 1)) = (x * y) * K(z,z \ 1). (x * y) * K(z,z \ 1) = x * (y * K(z,z \ 1)). x / y != R(z,u,K(w \ 1,w)) | z * y = 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 / y != R(z,K(u,u \ 1),w) | z * y = x. 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 / y != R(L(z,u,w),v5,v6) | L(R(z,v5,v6),u,w) * y = x. L(R(x,y,z),u,w) * (y * z) = (L(x,u,w) * y) * z. x / y != R(T(z,u),w,v5) | T(R(z,w,v5),u) * y = x. T(R(x,y,z),u) * (y * z) = (T(x,u) * y) * z. x \ y != L(L(z,u,w),v5,v6) | x * L(L(z,v5,v6),u,w) = y. (x * y) * L(L(z,y,x),u,w) = x * (y * L(z,u,w)). x \ y != L(R(z,u,w),v5,v6) | x * R(L(z,v5,v6),u,w) = y. (x * y) * R(L(z,y,x),u,w) = x * (y * R(z,u,w)). x \ y != (z * u) \ (z * (u * w)) | x * L(w,u,z) = y. x * L(y,z \ x,z) = z * ((z \ x) * y). x \ y != L(T(z,u),w,v5) | x * T(L(z,w,v5),u) = y. (x * y) * T(L(z,y,x),u) = x * (y * T(z,u)). x \ y != K(z,u) * w | y / (w * K(z,u)) = x. (x * (K(y,z) * u)) / (u * K(y,z)) = x. L(x \ T(y,z),x,z) = (z * x) \ (y * z). 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). a(x,R(y,z,u),y) = (x * (y * R(y,z,u))) \ ((x * R(y,z,u)) * y). (x * (y * R(y,z,u))) \ ((x * R(y,z,u)) * y) = a(x,R(y,z,u),y). (x * T(x \ y,z)) / x = T(y / x,z). T(x \ y,z) != T(u,x) | T(y / x,z) = u. (x * T(y,z)) / x = T((x * y) / x,z). T(T(x,y),z) != u | T(T(x,z),y) = u. x \ y != T(T(z,K(u,w)),K(v5,v6)) | x * z = y. K(x,K(y,z)) * u = T(u,K(w,v5)). T(x,K(y,z)) = K(u,K(w,v5)) * x. (x * (y * (z \ 1))) \ 1 = (z * (y \ 1)) * (x \ 1). (x \ 1) * K(y,y \ 1) = 1 / x. K(x \ 1,x) * y = 1 / (1 / y). x * K(y,y \ 1) = 1 / (1 / x). K(x \ 1,x) \ y = (y \ 1) \ 1. (1 / x) * K(y,y \ 1) = x \ 1. x * K(y \ 1,y) != z | K(u \ 1,u) * x = z. x \ y != T(T(z / u,w),z) | y / T(u \ z,w) = x. x / T(y \ x,z) = T(x / y,z) \ x. R(x,y \ L(y,z,u),y) = ((x * (y \ L(y,z,u))) * y) / L(y,z,u). ((x * (y \ L(y,z,u))) * y) / L(y,z,u) = R(x,y \ L(y,z,u),y). (x \ 1) / (y \ 1) = (y \ x) \ 1. L(x,y \ 1,z \ 1) = ((y * z) \ 1) \ ((z \ 1) * ((y \ 1) * x)). ((x * y) \ 1) \ ((y \ 1) * ((x \ 1) * z)) = L(z,x \ 1,y \ 1). R(x \ 1,y \ 1,z) = (((y * x) \ 1) * z) / ((y \ 1) * z). (((x * y) \ 1) * z) / ((x \ 1) * z) = R(y \ 1,x \ 1,z). (x \ 1) * y = ((y \ 1) * x) \ 1. ((x \ 1) * y) \ 1 = (y \ 1) * x. T(x,x \ 1) = x / K(y \ 1,y). (x \ 1) / (y \ 1) != z | (y \ x) \ 1 = z. x != 1 / (1 / y) | (y \ 1) \ 1 = x. (x \ 1) \ 1 = K(y \ 1,y) * x. K(x \ 1,x) * y = (y \ 1) \ 1. (x \ 1) \ 1 = x * K(y,y \ 1). x * K(y,y \ 1) = (x \ 1) \ 1. x = (1 / (1 / x)) * K(y,y \ 1). (1 / (1 / x)) * K(y,y \ 1) = x. T((x \ y) \ 1,x \ 1) = (x \ 1) \ (y \ 1). x / (y \ 1) = (y \ (x \ 1)) \ 1. (x \ (y \ 1)) \ 1 = y / (x \ 1). (x \ 1) / y = ((y \ 1) \ x) \ 1. ((x \ 1) \ y) \ 1 = (y \ 1) / x. T((x \ y) \ 1,y \ 1) = (x \ 1) \ (y \ 1). (x * (y \ 1)) / (z \ 1) = (z \ (y * (x \ 1))) \ 1. (x \ 1) * y != z \ 1 | (y \ 1) * x = z. x \ 1 != (y \ 1) * z | (z \ 1) * y = x. (x \ 1) / ((y \ 1) * z) = (((z \ 1) * y) \ x) \ 1. K(x,x \ 1) * y = (y \ 1) \ 1. x != (y \ 1) \ 1 | y / K(z \ 1,z) = x. x / K(y \ 1,y) = x * K(z,z \ 1). x \ y != (z \ 1) \ 1 | x * (z * K(u,u \ 1)) = y. K(x \ 1,x) * (y * K(z,z \ 1)) = y. (K(x \ 1,x) * y) * K(z,z \ 1) = y. (x / (y \ 1)) \ 1 = y \ (x \ 1). (x \ (y / (z \ 1))) \ 1 = (z \ (y \ 1)) / (x \ 1). (x \ (y \ 1)) / (z \ 1) = (z \ (y / (x \ 1))) \ 1. ((x \ 1) / y) \ 1 = (y \ 1) \ x. ((x \ 1) / y) / (z \ 1) = (z \ ((y \ 1) \ x)) \ 1. T(x,x \ 1) = K(y,y \ 1) * x. (x / y) \ 1 = (y \ 1) \ (x \ 1). (x \ 1) \ (y \ 1) = (y / x) \ 1. (x \ (y \ 1)) \ 1 != z | z = y / (x \ 1). (x \ (y \ 1)) \ 1 != z | y / (x \ 1) = z. (((x \ 1) * y) / z) \ 1 = (z \ 1) \ ((y \ 1) * x). x * y != z * (u * T(w,u)) | (z * (w * u)) / y = x. (x * (y * z)) / L(T(y,z),z,x) = x * z. x * L(y,z,x / z) = (x / z) * (z * y). x * y != z * (u * (u \ T(x,z))) | z = y. x = L(y \ T(x * y,x),y,x). L(x \ T(y * x,y),x,y) = y. x * y != z * (u * (u \ (z \ (x * w)))) | w = y. x = L(y \ (z \ ((z * y) * x)),y,z). L(x \ (y \ ((y * x) * z)),x,y) = z. x * y != (z * u) * L(w,u,z) | (z * (u * w)) / y = x. (x * (y * (x * y))) / (x * y) = L(x * y,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)). L(L(x,y,z),z * y,u) = (u * (z * y)) \ (u * (z * (y * x))). (x * (y * z)) \ (x * (y * (z * u))) = L(L(u,z,y),y * z,x). R(x,y,L(z,y,x)) = (x * (y * z)) / (y * L(z,y,x)). (x * (y * z)) / (y * L(z,y,x)) = R(x,y,L(z,y,x)). x * (y * z) != (x * y) * u | L(z,y,x) = u. (x * y) * z != x * (y * u) | L(u,y,x) = z. (x * y) * L(z,T(x,y),y) = y * (T(x,y) * z). (x * y) \ (x * (y * z)) != u | u = L(z,y,x). (x * K(y,z)) * L(u,x,K(y,z)) = K(y,z) * (x * u). K(x \ 1,x) * L(y,z,z \ 1) = (z \ 1) * (z * y). x * ((x \ 1) * y) != z | z = L(y,x \ 1,x). x * ((x \ 1) * y) != z | L(y,x \ 1,x) = z. (1 / x) * y = L(x \ y,x,1 / x). L(x \ y,x,1 / x) = (1 / x) * y. x != (y * (y \ 1)) \ z | z = x. x * y = L((x \ 1) \ y,x \ 1,x). L((x \ 1) \ y,x \ 1,x) = x * y. x \ (y * z) = L((y \ x) \ z,y \ x,y). L((x \ y) \ z,x \ y,x) = y \ (x * z). L(x \ y,x,z / x) = z \ ((z / x) * y). L(x \ y,x,z / y) = ((z / y) * x) \ z. 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). (x * y) / L(y \ z,y,x) = (x * y) * ((x * z) \ (x * y)). L((x \ 1) \ y,x \ 1,x) != z | z = x * y. L((x \ 1) \ y,x \ 1,x) != z | x * y = z. L(x \ L(y \ 1,y,z),x,z) = (z * x) \ (z / y). 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. 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)). (x * y) * z != u * (y * z) | R(x,y,z) = u. ((x * y) * z) / (y * z) != u | u = R(x,y,z). R(x,y * z,K(z,y)) * (z * y) = (x * (y * z)) * K(z,y). R(x,K(y,z),u) * (u * K(y,z)) = (x * K(y,z)) * u. (x * y) * (y \ 1) != z | R(x,y,y \ 1) = z. x != y / ((1 / z) * z) | y = x. x * y = R(x / (1 / y),1 / y,y). R(x / (1 / y),1 / y,y) = x * y. x * (y \ 1) = R(x / y,y,y \ 1). R(x / y,y,y \ 1) = x * (y \ 1). 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). T(R(x / y,y,z),x * z) = (y * z) \ (x * z). R(R(x,y,z) / u,u,y * z) = ((x * y) * z) / (u * (y * z)). R(x / R(y,z,u),R(y,z,u),z * u) = (x * (z * u)) / ((y * z) * u). x * y != z * u | u = z \ (x * y). x * y != z * u | z \ (x * y) = u. R(x * y,L(z,y,x),u) \ ((x * (y * z)) * u) = L(z,y,x) * u. R(x,1 / x,y) = y / ((x \ 1) * y). R(x,x \ 1,x) = x / K(y \ 1,y). 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). x * (y * T(z,y)) != u | x * (z * y) = u. x * (y * (x \ 1)) = L(T(y,x \ 1),x \ 1,x). L(T(x,y \ 1),y \ 1,y) = y * (x * (y \ 1)). (1 / x) * (x * y) = L(y,x,x \ 1). 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 * (1 / y)) * y = R(x,y \ 1,y). T(x,K(y,z)) != u | u = T(x,K(w,v5)). T(x,K(y,z)) != u | T(x,K(w,v5)) = u. L(x,(y \ z) / x,y) = (y * ((y \ z) / x)) \ z. x / y != R((z / u) / w,w,u) | (z / (w * u)) * y = x. (x / (K(y,K(z,u)) * w)) * K(y,K(z,u)) = x / w. (x * (x \ y)) * z != u | y * z = u. (x * K(y,z)) * u != w | (K(y,z) * x) * u = w. (K(x,y) * z) * u != w | (z * K(x,y)) * u = w. ((x / y) * y) * z != u * w | u \ (x * z) = w. ((x / y) * y) * (x \ z) != u * w | z / w = u. x \ y != z * (u \ (u * (z \ w))) | x * w = y. x \ y != (z / u) * u | x * z = y. x * (K(y,z) * u) != w | x * (u * K(y,z)) = w. x * ((y * (z \ x)) \ x) != u | z * (y \ x) = u. ((x \ 1) \ 1) * y != z | x * y = z. ((x * y) * z) / a(x,y,z) != u * w | u \ (x * (y * z)) = w. x / x != y * z | y \ 1 = z. L((x \ y) \ z,x \ y,x) != u | y \ (x * z) = u. (x * y) / x != z | x / (x / y) = z. x != y \ (y / z) | L(z \ 1,z,y) = x. L(x \ 1,x,y) = L(x \ 1,x,y / x). L(x \ 1,x,y / x) = L(x \ 1,x,y). R(T(1 / x,y),x,x \ z) = T((x \ z) / z,y). T((x \ y) / y,z) = R(T(1 / x,z),x,x \ y). (x \ (x * (y / z))) * z != u * w | y / w = u. (((x / y) / z) * z) * y != u * w | x / w = u. ((x / y) * y) * z != u * w | (x * z) / w = u. x * (y * (y \ (x \ z))) != u * w | u \ z = w. x * (y * (y \ z)) != u * w | u \ (x * z) = w. L(x,x \ 1,y) \ z = (y \ (y / (x \ 1))) \ z. L(x,x \ 1,y \ 1) = (y \ 1) \ ((x \ y) \ 1). (1 / x) \ L(y,x,x \ 1) = x * y. (x \ 1) * y != x \ z | L(y,x \ 1,x) = z. x \ y != (x \ 1) * z | L(z,x \ 1,x) = y. L(T(x \ y,z),x,1 / x) = T((1 / x) * y,z). L(x \ y,x,x \ 1) = (1 / x) * y. L(T((x \ 1) \ y,z),x \ 1,x) = T(x * y,z). R(T(x / (1 / y),z),1 / y,y) = T(x * y,z). R(x / (1 / y),y \ 1,y) = x * y. (x * (x \ y)) * z != u * w | u \ (y * z) = w. x != y / ((z \ 1) * y) | R(z,z \ 1,y) = x. R(x,x \ 1,y) = R(x,1 / x,y). R(x,1 / x,y) = R(x,x \ 1,y). x != y / K(z \ 1,z) | T(y,y \ 1) = x. T(x,x \ 1) = R(x,x \ 1,x). R(x,x \ 1,x) = T(x,x \ 1). x != y / K(z \ 1,z) | (y \ 1) \ 1 = x. (x \ 1) \ 1 = R(x,x \ 1,x). R(x,x \ 1,x) = (x \ 1) \ 1. R(x,x \ 1,y) != z | R(x,1 / x,y) = z. R(x,1 / x,x) = T(x,x \ 1). (1 / x) * (y * x) = L(T(y,x),x,x \ 1). L(T(x,y),y,y \ 1) = (1 / y) * (x * y). (x \ 1) * (x * y) = L(y,x,x \ 1). K(x,K(y,z)) \ u != w | T(u,K(v5,v6)) = w. ((x / y) \ x) * z != u | y * z = u. (x \ 1) \ L(y,x,x \ 1) = x * y. x != (y / (z \ y)) * u | z * u = x. x * y = L((x \ 1) \ y,x \ 1,(x \ 1) \ 1). L((x \ 1) \ y,x \ 1,(x \ 1) \ 1) = x * y. L(x \ y,x,x \ 1) = (x \ 1) * y. L((x \ 1) * (x * y),z,u) = L(L(y,z,u),x,x \ 1). x * y != (x \ 1) \ z | L(y,x,x \ 1) = z. (x \ 1) \ y != x * z | L(z,x,x \ 1) = y. (x \ 1) * (x * y) != z | z = L(y,x,x \ 1). (x \ 1) * (x * y) != z | L(y,x,x \ 1) = z. L((x \ 1) * y,z,u) = L(L(x \ y,z,u),x,x \ 1). L(L(x \ y,z,u),x,x \ 1) = L((x \ 1) * y,z,u). T(T(T(x,y),z),u) != w | T(T(T(x,z),y),u) = w. (x * (y \ x)) / (z \ x) = x / (z \ y). (x / y) * (z \ x) != u | u = x * ((z * y) \ x). x \ y != z * ((u * (w \ z)) \ z) | y / (w * (u \ z)) = x. x / (y * (z \ x)) = (z * (y \ x)) / x. (x * (y \ z)) / z = z / (y * (x \ z)). (x * (y \ z)) / z != u | z / (y * (x \ z)) = u. x \ ((x / y) * z) = ((x / z) * y) \ x. ((x / y) * z) \ x = x \ ((x / z) * y). x \ y != z * (((z / u) * w) \ z) | y / ((z / w) * u) = x. x / ((x / y) * z) = ((x / z) * y) / x. ((x / y) * z) / x = x / ((x / z) * y). ((x / y) * z) / x != u | x / ((x / z) * y) = u. 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(x \ y,z,u) = L(y / x,z,u) * x. L(x / y,z,u) * y = y * L(y \ x,z,u). x * L(K(y,z),u,w) = L(K(y,z),u,w) * x. L(K(x,y),z,u) * w = w * L(K(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(x \ 1,y,z) = L(x \ 1,y,z) * x. L(x \ 1,y,z) * x = x * L(x \ 1,y,z). x * L(T(y,x),z,u) != w * v5 | w \ (L(y,z,u) * x) = v5. x != R(y,z,u) * (z * u) | (y * z) * u = x. (x * y) * z = (y * z) * R(T(x,y * z),y,z). (x * y) * R(T(z,x * y),x,y) = (z * x) * y. x * y != R(z,u,w) * (u * w) | ((z * u) * w) / y = x. ((x * y) * z) / R(T(x,y * z),y,z) = y * z. x * y != R(z,u,w) * (u * w) | x \ ((z * u) * w) = y. (x * y) \ ((z * x) * y) = R(T(z,x * y),x,y). x * R(T(T(y,x),z),u,w) = R(T(y,z),u,w) * x. x * R(x \ y,z,u) = R(y / x,z,u) * x. R(x / y,z,u) * y = y * R(y \ x,z,u). x * R(K(y,z),u,w) = R(K(y,z),u,w) * x. R(K(x,y),z,u) * w = w * R(K(x,y),z,u). x * R(y,z,u) = R((x * y) / x,z,u) * x. R((x * y) / x,z,u) * x = x * R(y,z,u). (x \ y) * R((x \ y) \ y,z,u) = R(x,z,u) * (x \ y). x * R(x \ 1,y,z) = R(x \ 1,y,z) * x. R(x \ 1,y,z) * x = x * R(x \ 1,y,z). (x \ y) * R(T(x,y),z,u) = R(x,z,u) * (x \ y). (x * y) * R(T(x,y),z,u) = R(x,z,u) * (x * y). (x * y) * z != u * (y * T(x,y)) | T(u,x * y) = z. T(x,x * y) = L(T(x,y),y,x). L(T(x,y),y,x) = T(x,x * y). L(T(x,y),z,u) != w | T(L(x,z,u),y) = w. T(L(x,y,x),y) = T(x,x * y). L(T(T(x,y),z),y,x) = T(T(x,x * y),z). T(x,y) != T(z,z * y) | z = x. x = L(x,y,x). L(x,y,x) = x. T(x,K(y,z)) = L(x,u,x). x != y \ z | T(z / y,z) = x. T(x / y,x) = L(y \ x,z,y \ x). L(x \ y,z,x \ y) = T(y / x,y). x != y | z / (y \ z) = x. x / (y \ x) = L(y,z,y). L(x,y,x) = z / (x \ z). x != y | z \ (z * y) = x. x \ (x * y) = L(y,z,y). L(x,y,x) = z \ (z * x). a(x,y,x) = 1. x \ y != L(z,u,z) | x * z = y. (x * y) * x = x * (y * x). R(x,y,z) != L(R(u,y,z),w,v5) | L(u,w,v5) = x. L(x,y,R(x,z,u)) = x. L(x,y,z) != L(L(u,y,z),w,v5) | L(u,w,v5) = x. L(x,y,L(x,z,u)) = x. L(x,y,T(x,z)) = x. L(T(x,y),z,x) = T(x,y). R(x,y,z) = L(R(x,y,z),u,x). L(R(x,y,z),u,x) = R(x,y,z). L(x,y,z) = L(L(x,y,z),u,x). L(L(x,y,z),u,x) = L(x,y,z). a(x,y,x) \ z = z. T(x,a(y,z,y)) = x. L(x,y,a(z,u,z)) = x. L(x,a(y,z,y),u) = x. R(x,a(y,z,y),u) = x. x != y | L(y,z,y) = x. L(x,y,x) = a(z,u,z) \ x. a(x,y,x) \ z = z / a(x,y,x). x / a(y,z,y) = a(y,z,y) \ x. x \ y != T(z,a(u,w,u)) | x * z = y. a(x,y,x) * z = z * a(x,y,x). x * y != L(z,u,R(z,w,v5)) | x \ z = y. R(x,y,z) \ x = (R(x,y,z) \ 1) * x. (R(x,y,z) \ 1) * x = R(x,y,z) \ x. x \ y != L(z,u,L(z,w,v5)) | x * z = y. (L(x,y,z) * u) * x = L(x,y,z) * (u * x). x * y != L(z,u,L(z,w,v5)) | x \ z = y. L(x,y,z) \ x = (L(x,y,z) \ 1) * x. (L(x,y,z) \ 1) * x = L(x,y,z) \ x. L(T(x,y),z,L(x,u,w)) = T(x,y). x \ y != L(z,u,a(w,v5,w)) | x * z = y. (a(x,y,x) * z) * u = a(x,y,x) * (z * u). L(x,y,a(z,u,z)) != w | x = w. x \ y != L(z,a(u,w,u),v5) | x * z = y. (x * a(y,z,y)) * u = x * (a(y,z,y) * u). x * y != L(T(z,u),w,z) | x \ T(z,u) = y. (x \ 1) \ T(x \ 1,y) = x * T(x \ 1,y). x * y = y * ((y \ x) * y). x * ((x \ y) * x) = y * x. x * y != x * (z * x) | T(x * z,x) = y. T((x \ y) * x,x \ y) = y. T(x * y,x) = y * x. x * y != (z * (z \ u)) * x | T(u,x) = y. T(x,y) = (y \ x) * y. x * y != ((z / u) * u) * x | T(z,x) = y. T(x,x / y) = y * (x / y). x * (y * z) != (u * y) * z | R(u,y,z) = x. R(x,y,x) = x. L(x \ y,x,x * z) = (x * (z * x)) \ ((x * z) * y). (x * (y * x)) \ ((x * y) * z) = L(x \ z,x,x * y). x != y | R(y,z,y) = x. R(x,y,x) = R(x,z,x). L(x,y,x) = R(x,z,x). R(x,y,x) = L(x,z,x). x != T(y,z) | T(y,y \ z) = x. T(x,x \ y) = R(T(x,y),z,T(x,y)). R(T(x,y),z,T(x,y)) = T(x,x \ y). x != y \ 1 | T(y \ 1,y) = x. T(x \ 1,x) = R(x \ 1,y,x \ 1). R(x \ 1,y,x \ 1) = T(x \ 1,x). (x \ 1) \ 1 = R(x,y,x). R(x,y,x) = (x \ 1) \ 1. x \ y != R(z,u,z) | y / z = x. R(x,y,x) / x = a(z,u,z). a(x,y,x) = R(z,u,z) / z. x \ y != R(z,u,z) | x * z = y. a(x,y,x) * z = R(z,u,z). R(x,y,x) = a(z,u,z) * x. R(x,y,z) != R(R(u,y,z),w,v5) | R(u,w,v5) = x. R(x,y,R(x,z,u)) = x. L(x,y,z) != R(L(u,y,z),w,v5) | R(u,w,v5) = x. R(x,y,L(x,z,u)) = x. T(x,y) != R(T(z,y),u,w) | R(z,u,w) = x. R(x,y,T(x,z)) = x. R(T(x,y),z,x) = T(x,y). x != y * z | (z * y) * K(y,z) = x. (x * y) * K(y,x) = T(x * y,x). x != (y / z) * z | y = x. x = T(y * (x / y),y). T(x * (y / x),x) = y. x = y * (T(x,y) / y). x * (T(y,x) / x) = y. x \ y != T(z * u,z) | y / (u * z) = x. x / (y * x) = (x * y) \ x. x \ y != T(z * u,z) | x * (u * z) = y. a(x,y,x) * (z * u) = T(u * z,u). T(x * y,x) = a(z,u,z) * (y * x). T(x * y,z) = T(T(y * x,z),y). T(T(x * y,z),x) = T(y * x,z). x * y != T(z,y) | y * x = z. T(x,y) != z * y | y * z = x. T(x * y,y) = T(x,y) * y. x / (y * x) != z | (x * y) \ x = z. T(x * (y * z),x * y) = L(z,y,x) * (x * y). T((x * y) * z,R(x,y,z)) = (y * z) * R(x,y,z). x * L(y * x,z,u) = L(x * y,z,u) * x. L(x * y,z,u) * x = x * L(y * x,z,u). x != (y \ z) * y | K(y \ z,y) * z = x. K(x \ y,x) * y = T(y,x). T(x,y) = K(y \ x,y) * x. x != (y \ z) * y | z * K(y \ z,y) = x. x * K(y \ x,y) = T(x,y). T(x,y) = x * K(y \ x,y). x * y != (z \ u) * z | T(u,z) / y = x. T(x,y) / y = y \ x. x * y != (z \ u) * z | x \ T(u,z) = y. x \ T(x,y) = K(y \ x,y). K(x \ y,x) = y \ T(y,x). x \ T(y,x) = T(x \ y,x). T(x \ y,x) = x \ T(y,x). (x \ y) \ T(y,x) = x. x * y != T(R(z,u,w),v5) | R(T(z,v5),u,w) / y = x. R(T(x,y),z,u) / y = y \ R(x,z,u). x * y != T(L(z,u,w),v5) | L(T(z,v5),u,w) / y = x. L(T(x,y),z,u) / y = y \ L(x,z,u). x * y != T(T(z,u),w) | T(T(z,w),u) / y = x. T(T(x,y),z) / y = y \ T(x,z). x * y != T(z / u,z) | (u \ z) / y = x. (x \ y) / y = y \ (y / x). x * y != T(z,L(z,u,w)) | z / y = x. x / L(x,y,z) = L(x,y,z) \ x. x * y != T(z / u,u) | (u \ z) / y = x. (x \ y) / x = x \ (y / x). x * y != T(z,L(z,u,w)) | x \ z = y. (L(x,y,z) \ x) \ x = L(x,y,z). x * y != T(z / u,u) | x \ (u \ z) = y. (x \ (y / x)) \ (x \ y) = x. T(x,y) / y != z | z = y \ x. T(x,y) / y != z | y \ x = z. T(x,y) \ x = K(y,y \ x). K(x,x \ y) = T(y,x) \ y. x != R(y,1 / y,y) | T(y,y \ 1) = x. T(x,x \ 1) = R(x,y,x). x / y != R(z,u,R(z,w,v5)) | z * y = x. x * (y * R(x,z,u)) = (x * y) * R(x,z,u). (x * y) * R(x,z,u) = x * (y * R(x,z,u)). R(x,y,R(T(x,z),u,w)) = x. x \ R(x,y,z) = (x \ 1) * R(x,y,z). (x \ 1) * R(x,y,z) = x \ R(x,y,z). R(x,y,x) = R(x,z,L(x,u,w)). R(x,y,L(x,z,u)) = R(x,w,x). x / y != R(z,u,L(z,w,v5)) | z * y = x. x * (y * L(x,z,u)) = (x * y) * L(x,z,u). (x * y) * L(x,z,u) = x * (y * L(x,z,u)). x \ L(x,y,z) = (x \ 1) * L(x,y,z). (x \ 1) * L(x,y,z) = x \ L(x,y,z). (x * y) / x = x * (y / x). x \ y != T(z * (u / z),z) | y / u = x. x / y = (x * (y / x)) \ x. (x * (y / x)) \ x = x / y. x != T(y,z) | z * (x / z) = y. T(x,y) != z | y * (z / y) = x. x != y * z | T(z * y,z) = x. T(x * y,x) = z * (T(y * x,z) / z). x \ y != z | z = T(y,x) / x. x \ y != z | T(y,x) / x = z. x != y \ z | z / T(y,z) = x. x / T(y,x) = T(x,y) / y. T(x,y) / y = x / T(y,x). (x \ y) * x != z | z = T(y,x). (x \ y) * x != z | T(y,x) = z. T(x,x \ y) = R(T(x,y),z,x). R(T(x,y),z,x) = T(x,x \ y). x != T(y,y * z) | T(y,z) = x. T(x,y) = R(T(x,x * y),z,x). R(T(x,x * y),z,x) = T(x,y). x * y != y * z | (y \ x) * y = z. x * y != z * x | (x \ z) * x = y. x \ y != T((z \ u) * z,z \ u) | y / u = x. (x \ y) / y = ((x \ y) * x) \ (x \ y). ((x \ y) * x) \ (x \ y) = (x \ y) / y. T(T(x,y),y \ x) = x. T(T(x,y \ x),y) = x. T(x,L(x,y,z) \ x) = x. T(x,y \ z) != z | T(z,y) = x. T(x,y) = T(x,(y \ x) \ x). T(x,(y \ x) \ x) = T(x,y). x * (y / x) = T(y,x \ y). T(x,y \ x) = y * (x / y). x * y != T(T(z,u \ z),u) | z / y = x. x / y = y \ T(x,y \ x). x \ T(y,x \ y) = y / x. T(T(x,y),x / y) = x. (x / y) * (x / (x / y)) = T(x,y). T(x,y) = (x / y) * (x / (x / y)). T(L(x,y,z) \ x,x) = L(x,y,z) \ x. x \ y != T(z,L(z,u,w) \ z) | x * z = y. (x \ (L(x,y,z) \ x)) * x = L(x,y,z) \ x. x != R(y,z,u) / y | y \ R(y,z,u) = x. x \ R(x,y,x) = a(z,u,z). a(x,y,x) = z \ R(z,u,z). x \ y != R(z,u,z) / z | x * a(w,v5,w) = y. x * a(y,z,y) = R(x,u,x). R(x,y,x) = x * a(z,u,z). x \ (x / y) = x / (y * x). x / (y * x) = x \ (x / y). x \ y != (z * u) \ z | x * (z / (u * z)) = y. x * (x / (y * x)) = x / y. x * K(y \ x,y) != z | z = T(x,y). x * K(y \ x,y) != z | T(x,y) = z. T(x,x \ (y \ T(y,z))) = T(x,x \ 1). K(x \ y,x) * y != z | T(y,x) = z. L(x \ 1,x,y) = (x \ y) / y. x != y \ (y / z) | (y * z) \ y = x. (x * y) \ x = (y \ x) / x. (x \ y) / y = (y * x) \ y. x / y != z \ (z / u) | L(u \ 1,u,z) * y = x. L(x \ 1,x,y) * y = x \ y. x / y != z \ (z / L(u \ 1,u,z)) | u * y = x. x * y = L(x \ 1,x,y) \ y. L(x \ 1,x,y) \ y = x * y. x / y != R(z,u,R(T(z,w),v5,v6)) | z * y = x. x * (y * R(T(x,z),u,w)) = (x * y) * R(T(x,z),u,w). (x * y) * R(T(x,z),u,w) = x * (y * R(T(x,z),u,w)). x / (x / y) = x * (y / x). x \ (x / (y / x)) = x / y. T(x,y \ x) = T(x,x / y). T(x,x / y) = T(x,y \ x). T(x,y) = T(x,x / (x / y)). T(x,x / (x / y)) = T(x,y). T(x,T(y,x)) = T(x,y). T(x,y * x) = T(x,y). T(x,T(y,x)) != z | T(y,x) \ (y * x) = z. T(x,y) \ (x * y) = T(y,x). x \ y != T(z,T(u,z)) | y / T(z,u) = x. (x * y) / T(y,x) = T(x,y). x \ y != T(z,T(u,z)) | x * T(z,u) = y. T(x,y) * T(y,x) = x * y. T(x,y) = T(x,(x * y) / x). T(x,(x * y) / x) = T(x,y). T(x,T(y,y * x)) = T(x,y). T(x,T(y,y * x)) = T(x,L(y,x,y)). T(x,y) = T(x,y / x). T(x,y / x) = T(x,y). T(x,y) != z | (y \ x) * y = z. ((x \ y) \ y) * (x \ y) = x * (y / x). T(x \ T(y,x \ y),y) = x \ y. R(x,y \ R(y,z,y),u) = x. (x \ (x / y)) \ x = y * x. x / (y * x) != z | R(y \ 1,y,x) = z. R(x \ 1,x,y) = y \ (y / x). (x \ y) / y = (x \ y) \ ((x \ y) / x). (x \ y) \ ((x \ y) / x) = (x \ y) / y. x / y != (z * (z \ 1)) \ u | u * y = x. x * x = (x \ 1) \ x. (x \ 1) \ x = x * x. x / y != (z * (z \ u)) \ w | (u \ w) * y = x. (x \ y) * y = (y \ x) \ y. (x \ y) \ x = (y \ x) * x. (x \ y) / y != z | y \ (y / x) = z. x * y != x / z | L(z \ 1,z,x) = y. L((x / y) \ 1,x / y,x) = y / x. (x / y) / ((x / y) / x) = (x / y) * (x * (y / x)). T(x,x \ y) \ y = T(x \ y,x). a(x,T(y,z),T(z,y)) = (x * (y * z)) \ ((x * T(y,z)) * T(z,y)). (x * (y * z)) \ ((x * T(y,z)) * T(z,y)) = a(x,T(y,z),T(z,y)). a(T(x,y),T(y,x),z) = (T(x,y) * (T(y,x) * z)) \ ((x * y) * z). (T(x,y) * (T(y,x) * z)) \ ((x * y) * z) = a(T(x,y),T(y,x),z). L(x,T(y,z),T(z,y)) = (z * y) \ (T(z,y) * (T(y,z) * x)). (x * y) \ (T(x,y) * (T(y,x) * z)) = L(z,T(y,x),T(x,y)). x * y != z \ y | y \ (y / x) = z. x \ y != z * y | y \ (y / z) = x. L(x,x \ 1,y) \ y = (x \ 1) * y. x != R(y,z,y) | y = x. x = L(R(x,y,x),z,x). L(R(x,y,x),z,x) = x. x * y != L(R(z,u,w),v5,z) | x \ R(z,u,w) = y. (x \ 1) \ R(x \ 1,y,z) = x * R(x \ 1,y,z). L(x,y,z) != z | y \ T(z * y,z) = x. x \ T(y * x,y) = R(y,z,y). R(x,y,x) = z \ T(x * z,x). x * y != L(L(z,u,w),v5,z) | x \ L(z,u,w) = y. (x \ 1) \ L(x \ 1,y,z) = x * L(x \ 1,y,z). x / L(x,y,z) != u | L(x,y,z) \ x = u. R(L(x,y,z),u,L(x,w,v5)) = L(R(x,v6,x),y,z). x * y != z | T(y * x,y) = z. R(T(x,y),z,u) != w | T(R(x,z,u),y) = w. T(R(x,y,x),x * z) = T(x,z). L(x \ 1,x,y) \ (x \ y) = y. T(L(x \ 1,x,y),y) = y \ (x \ y). x * y != L(z \ 1,z,u) * u | x \ (z \ u) = y. x \ (y \ x) = L(T(y \ 1,x),y,x). L(T(x \ 1,y),x,y) = y \ (x \ y). L(x \ 1,x,y) = R(x \ 1,x,y). R(x \ 1,x,y) = L(x \ 1,x,y). x \ y != z \ T(u * z,u) | x * R(u,w,u) = y. x * R(y,z,y) = T(y * x,y). x * y != T(x,z) | K(z \ x,z) = y. K(x \ (x * y),x) = K(y,x). T(x * y,x) != z | y * x = z. K(x,y) = K(z \ (z * x),y). K(x \ (x * y),z) = K(y,z). K(L(x,y,x),z) = K(x,z). K(R(x,y,x),z) = K(x,z). K(T(x,x \ 1),y) = K(x,y). K((x \ 1) \ 1,y) = K(x,y). K(x * a(y,z,y),u) = K(x,u). K((x / y) \ x,z) = K(y,z). K((x \ y) \ y,z) = K(T(x,y),z). K(K(x,x \ 1) * y,z) = K(y,z). T(K(x,y),z) = K((x \ 1) \ 1,y). K(((x \ 1) * y) \ 1,z) = K((y \ 1) * x,z). K(L(x,y,x) \ z,u) = K(x \ z,u). (x \ T(x * y,z)) * x = T(y * x,z). x * (T(y * x,z) / x) = T(x * y,z). x * y != T(T(z * u,w),z) | T(u * z,w) / y = x. T(x * y,z) / y = y \ T(y * x,z). T(x,y) / z = z \ T(z * (x / z),y). x \ T(x * (y / x),z) = T(y,z) / x. T(x,y) = (x / y) * (x * (y / x)). T(x \ T(y,y / x),y) = x \ y. T(x,y) \ y = T(x \ y,x). T(x \ y,x) = T(x,y) \ y. T(x \ y,x) != z | x \ T(y,x) = z. x \ T(y,x) = T(x,y) \ y. T(x,y) \ y = x \ T(y,x). T(x \ y,x) != z \ y | T(x,y) = z. x \ y != T(z,u) \ u | x * T(z \ u,u) = y. x * T(x \ y,y) = T(y,x). x != T(y,z) | (z \ y) * z = x. (x \ y) * x = x * T(x \ y,y). x * T(x \ y,y) = (x \ y) * x. K(x \ y,z) = K(T(y / x,y),z). K(T(x / y,x),z) = K(y \ x,z). x * y != (z / u) * (z * (u / z)) | x \ T(z,u) = y. (x / y) \ T(x,y) = x * (y / x). x * y != T(z,u) | x \ T(z,z \ u) = y. (x / y) \ T(x,x \ y) = x * (y / x). (x * (y \ x)) / x = y \ T(x,x / y). x \ T(y,y / x) = (y * (x \ y)) / y. x * T(x \ y,y) != z | T(y,x) = z. x != a(y,z,y) * u | u * a(y,z,y) = x. (x * y) * a(z,u,z) = T(y * x,y). T(x * y,x) = (y * x) * a(z,u,z). T(x,T(y,y * x)) != z | T(x,y) = z. T(x,y) = T(x,L(y,x,y)). T(x,L(y,x,y)) = T(x,y). T(x,R(y,z,y)) = T(x,y). T(x,T(y / z,y)) = T(x,z \ y). x \ y != T(z,R(u,w,u)) | x * T(z,u) = y. R(x,y,x) * T(z,x) = z * R(x,y,x). T(x,(y \ 1) \ 1) = T(x,y). T(x,T(y,y \ z)) = T(x,T(y,z)). T(T(x,y),K(z,u)) = T(x,(y \ 1) \ 1). x \ y != T(z,u) | x * T(z,(u \ 1) \ 1) = y. x * T(y,(x \ 1) \ 1) = y * x. T(x,R(T(y,z),u,y)) = T(x,T(y,z)). T(x * y,K(z,u)) = y * T(x,(y \ 1) \ 1). R(x / y,z,u) = L(R((y / x) \ 1,z,u),y / x,y). L(R((x / y) \ 1,z,u),x / y,x) = R(y / x,z,u). x \ y != (z \ 1) * y | R(z,z \ 1,y) = x. R(x,x \ 1,y) = L(x,x \ 1,y). x / ((y \ 1) * x) != z | z = L(y,y \ 1,x). x / ((y \ 1) * x) != z | L(y,y \ 1,x) = z. x != y \ (z \ y) | (z * y) \ y = x. (x * y) \ y = L(T(x \ 1,y),x,y). L(T(x \ 1,y),x,y) = (x * y) \ y. K((1 / x) \ y,z) = K((x \ 1) \ y,z). x * y != (z * u) * a(w,v5,w) | x \ T(u * z,u) = y. x \ T(y * (x / y),y) = a(z,u,z). a(x,y,x) = z \ T(u * (z / u),u). K(T(x * y,x),z) = K(y * x,z). T(x,T(R(y,z,y),u)) = T(x,T(y,u)). T(x,T(y \ 1,z)) = T(x,T(1 / y,z)). T(x,T(1 / y,z)) = T(x,T(y \ 1,z)). (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 * z),y) = R(y \ (x / z),y,z). R(x \ (y / z),x,z) = T(y / (x * z),x). x * y != T(z,z \ u) * w | x \ (((z \ u) \ u) * w) = y. (T(x,x \ y) * z) \ (((x \ y) \ y) * (z * u)) = L(u,z,T(x,x \ y)). K(x,(y \ z) \ z) = (T(y,y \ z) * x) \ (x * ((y \ z) \ z)). (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) = K(z,(x \ y) \ y). L(x,y,(z \ u) \ u) = (T(z,z \ u) * y) \ (((z \ u) \ u) * (y * x)). (T(x,x \ y) * z) \ (((x \ y) \ y) * (z * u)) = L(u,z,(x \ y) \ y). (x * K(y,z)) * u != w * u | K(y,z) * x = w. a(x,y,z * K(u,w)) = (x * (y * (z * K(u,w)))) \ ((x * y) * (K(u,w) * z)). (x * (y * (z * K(u,w)))) \ ((x * y) * (K(u,w) * z)) = a(x,y,z * K(u,w)). (R(x / y,z,u) \ x) \ x = R(y \ x,z,u). (x \ y) \ y = R(T(x,y),z,T(x,u)). R(T(x,y),z,T(x,u)) = (x \ y) \ y. K(x,y) / (z \ 1) = (1 / z) \ K(x,y). L(x \ y,x,T(x,z) \ x) = (x * (T(x,z) \ x)) \ ((T(x,z) \ x) * y). (x * (T(x,y) \ x)) \ ((T(x,y) \ x) * z) = L(x \ z,x,T(x,y) \ x). T(R((x * y) / x,x,y),z) * (x * y) = (x * y) * T(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. x \ y != T((z * u) / z,w) | x * ((z * T(u,w)) / z) = y. x * ((y * T(z,x)) / y) = ((y * z) / y) * x. x / T(y,z) = T(x / (x / y),z) \ x. T(x / (x / y),z) \ x = x / T(y,z). x * K(y,y \ 1) != z | z * K(u \ 1,u) = x. x != y * K(z \ 1,z) | y = x * K(u,u \ 1). y * K(z \ 1,z) != x | y = x * K(u,u \ 1). x * K(y \ 1,y) != z | z * K(u,u \ 1) = x. x != y * K(z,z \ 1) | K(u \ 1,u) * x = y. x * K(y,y \ 1) != z | K(u \ 1,u) * z = x. L(x \ 1,x,y) = L(x \ 1,x,y * x). L(x \ 1,x,y * x) = L(x \ 1,x,y). (x * T(y,x)) / (z \ x) = x / (z \ (y \ x)). ((x / y) * z) / (u \ x) = x / (u \ ((x / z) * y)). (R(x,y,z) \ x) \ 1 = (x \ 1) * R(x,y,z). (((x \ 1) * y) \ 1) * (x \ y) = L(x \ y,x,x \ 1) \ (x \ y). L(x \ y,x,x \ 1) \ (x \ y) = (((x \ 1) * y) \ 1) * (x \ y). R(x * y,z,u) / y = y \ R(y * x,z,u). R(x,y,z) / u = u \ R(u * (x / u),y,z). x \ R(x * (y / x),z,u) = R(y,z,u) / x. L(x * y,z,u) / y = y \ L(y * x,z,u). L(x,y,z) / u = u \ L(u * (x / u),y,z). x \ L(x * (y / x),z,u) = L(y,z,u) / x. (x \ R(x,y,z)) / R(x,y,z) = x \ 1. (1 / x) * L(x,y,z) = x \ L(x,y,z). (x \ L(x,y,z)) \ 1 = (L(x,y,z) \ 1) * x. (x \ 1) \ L(x \ 1,y,z) != u | x * L(x \ 1,y,z) = u. x != (y \ z) / z | z \ (z / y) = x. x \ (x / y) = ((y \ x) * y) \ (y \ x). ((x \ y) * x) \ (x \ y) = y \ (y / x). x * L(L(x,y,z) \ x,u,w) = L(L(x,y,z) \ x,u,w) * x. L(L(x,y,z) \ x,u,w) * x = x * L(L(x,y,z) \ x,u,w). ((x \ y) \ y) * z != u | T(x,x \ y) * z = u. T(x,x \ y) * (x \ y) = x * (y / x). x \ (x / y) = (y \ x) \ ((y \ x) / y). (x \ y) \ ((x \ y) / x) = y \ (y / x). (x \ y) \ (x \ (y / x)) = (x \ y) / y. (x \ T(y,z)) * x = T((x \ y) * x,z). T((x \ y) * x,z) = (x \ 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(y * x,z) / x) != T(u,z) | x * y = u. T(x,y) != z * (T(u * z,y) / z) | z * u = x. x * (y * (T(z,x) / y)) = (y * (z / y)) * x. (x / (y * x)) \ T(x,x \ (y * x)) = x * y. x != y * R(z,u,z) | T(z * y,z) = x. T(x * y,x) = R(x,z,x) * T(y,x). R(x,y,x) * T(z,x) = T(x * z,x). R(x,y,x) * z = T(x * ((x * z) / x),x). T(x * ((x * y) / x),x) = R(x,z,x) * y. T(x,K(y,z)) = T((u * x) / u,(u \ 1) \ 1). T((x * y) / x,(x \ 1) \ 1) = T(y,K(z,u)). K(x \ y,z) = K(((x \ 1) \ 1) \ y,z). K(((x \ 1) \ 1) \ y,z) = K(x \ y,z). x / (x / T(y,z)) = T(x / (x / y),z). x \ y != y / T(z,z \ y) | z = x. x = T(y / (y / x),x \ y). T(x / (x / y),y \ x) = y. ((x \ y) * x) / (x \ y) = y / (y / x). x \ y != (z \ R(z,u,w)) / R(z,u,w) | x * (z \ 1) = y. R(x,y,z) * (x \ 1) = R(x,y,z) / x. x != y \ L(y,z,u) | L(y,z,u) / y = x. L(x,y,z) / x = (1 / x) * L(x,y,z). (1 / x) * L(x,y,z) = L(x,y,z) / x. L(x \ 1,x,x \ y) = y \ (y / x). L(x \ 1,x,y) = L(x \ 1,x,x \ y). L(x \ 1,x,x \ y) = L(x \ 1,x,y). L(x \ 1,x,y) = (x * y) \ ((x * y) / x). (x * y) \ ((x * y) / x) = L(x \ 1,x,y). (x \ y) \ (x \ (y / x)) = y \ (y / x). x \ y != (z \ u) / u | x * L(z \ 1,z,u) = y. (x \ y) * L(x \ 1,x,y) = x \ (y / x). T((x \ (y / z)) * x,z) = (x \ (z \ y)) * x. K((K(x,x \ 1) * y) \ z,u) = K(y \ z,u). x \ R(x,y,z) = R(x,y,z) * (x \ 1). R(x,y,z) * (x \ 1) = x \ R(x,y,z). x * y != R(z,u,w) / z | (z \ R(z,u,w)) / y = x. (x \ R(x,y,z)) / (x \ 1) = R(x,y,z). x * L(x \ 1,y,z) = L(x \ 1,y,z) / (x \ 1). L(x \ 1,y,z) / (x \ 1) = x * L(x \ 1,y,z). x / y != (z / (u \ z)) * w | (u * w) * y = x. (x * L(x \ 1,y,z)) * (x \ 1) = L(x \ 1,y,z). R(L(x \ 1,x,y),z,u) = L(R(x \ 1,z,u),x,x \ y). L(R(x \ 1,y,z),x,x \ u) = R(L(x \ 1,x,u),y,z). x \ (x / y) != z \ (y \ (x / y)) | y \ x = z. x \ (y \ (z / y)) != z \ (z / y) | y \ z = x. a(R(x,y,z),x \ 1,u) = (R(x,y,z) * ((x \ 1) * u)) \ ((x \ R(x,y,z)) * u). (R(x,y,z) * ((x \ 1) * u)) \ ((x \ R(x,y,z)) * u) = a(R(x,y,z),x \ 1,u). R(x,y,z) * (x \ 1) != u | u = x \ R(x,y,z). R(x,y,z) * (x \ 1) != u | x \ R(x,y,z) = u. x \ y != (z * (u * w)) * a(z,u,w) | x * ((z * u) * w) = y. K(a(x,y,z),x * (y * z)) * ((x * y) * z) = a(x,y,z) * (x * (y * z)). (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) \ (x * (y * z)) = (x * (y * z)) \ ((x * (y * z)) / a(x,y,z)). (x * (y * z)) \ ((x * (y * z)) / a(x,y,z)) = ((x * y) * z) \ (x * (y * z)). ((x * y) * z) * a(R(x,y,z),y,z) = (R(x,y,z) * y) * z. x * L(L(y,z \ x,z),u,w) = z * ((z \ x) * L(y,u,w)). x \ y != L(L(z,u,w),v5,z) | x * L(z,u,w) = y. x * L(y,z,u) = y * ((y \ x) * L(y,z,u)). x * ((x \ y) * L(x,z,u)) = y * L(x,z,u). x \ (y * (z * (y \ x))) = L(T(z,y \ x),y \ x,y). L(T(x,y \ z),y \ z,y) = z \ (y * (x * (y \ z))). x * L(L(y,z,x / z),u,w) = (x / z) * (z * L(y,u,w)). x \ y != z \ ((z / u) * (u * w)) | y / L(w,u,z / u) = x. x / L(y,z,x / z) = (x / (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 * L(y,z,x / z) != u | u = (x / z) * (z * y). x * L(y,z,x / z) != u | (x / z) * (z * y) = u. x \ y != L(z,u,T(z,w)) | y / z = x. (T(x,y) * z) / x = T(x,y) * (z / x). L(x \ 1,x,T(x,y) * (z / x)) = (T(x,y) * z) \ ((T(x,y) * z) / x). x * ((x \ y) * K(z,z \ 1)) = y * K(z,z \ 1). L(R(x,y,y \ z),u,w) * z = (L(x,u,w) * y) * (y \ z). x / (y * ((z * y) \ x)) = R(z,y,y \ x). (x * y) \ ((x \ 1) \ y) = a(x,x \ 1,(x \ 1) \ y). a(x,x \ 1,(x \ 1) \ y) = (x * y) \ ((x \ 1) \ y). (x * ((y * x) \ 1)) \ (y \ 1) = a(x,x \ 1,y \ 1). L(x,y \ 1,y) \ x = a(y,y \ 1,x). L(x,y \ 1,y) * a(y,y \ 1,x) = x. x \ R(x,y,y \ 1) = a(x,y,y \ 1). x \ R(x,y \ 1,y) = a(x,y \ 1,(y \ 1) \ 1). a(x,y \ 1,(y \ 1) \ 1) = x \ R(x,y \ 1,y). L(x,y,y \ 1) \ x = a(1 / y,y,x). L(x,y,y \ 1) \ x = a(y \ 1,y,x). x \ ((x * (y \ 1)) * y) = a(x,1 / y,y). x \ R(x,y \ 1,y) = a(x,1 / y,y). x \ R(x,y \ 1,y) = a(x,y \ 1,y). x \ R(x,y \ 1,y) != z | a(x,1 / y,y) = z. a(x,1 / y,y) = a(x,y \ 1,y). R(L(x,y,z) \ x,L(x,y,z),x \ u) = u / (L(x,y,z) * (x \ u)). ((x * y) * (y \ z)) / z != u | u = R(x,y,y \ z). ((x * y) * (y \ z)) / z != u | R(x,y,y \ z) = u. x \ y != L(T(z \ 1,u),z,w) | x * T((w * z) \ w,u) = y. (x * y) * T((x * y) \ x,z) = x * (y * T(y \ 1,z)). T((x * y) \ x,y) = L(y \ 1,y,x). T(x \ (x / y),y) = L(y \ 1,y,x). (x * y) \ y = R(T(1 / x,x * y),x,y). R(T(1 / x,x * y),x,y) = (x * y) \ y. x * T(x \ (y * x),z) != u | T(y,z) * x = u. 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 * ((x \ y) * z) != y * u | L(z,x \ y,x) = u. x \ (y * ((y \ x) * z)) != u | u = L(z,y \ x,y). x \ (y * ((y \ x) * z)) != u | L(z,y \ x,y) = u. L((x * y) \ T(z,K(y,x)),x * y,K(y,x)) = (y * x) \ (z * K(y,x)). (x \ y) \ 1 != z | (y \ 1) / (x \ 1) = z. (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 / y) \ (L(z,y,x / y) * x) = y * T(z,x). 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). L(x \ (y * z),u,w) = L(L((y \ x) \ z,u,w),y \ x,y). L(L((x \ y) \ z,u,w),x \ y,x) = L(y \ (x * z),u,w). x / y != z \ ((z / u) * w) | L(u \ w,u,z / u) * y = x. L(x \ y,x,z / x) * z = T((z / x) * y,z). L(x \ (y \ z),x,z / x) = z \ (z * ((y * x) \ z)). x \ y != ((z / u) * w) \ z | x * L(w \ u,w,z / u) = y. x * L(y \ z,y,x / z) = (x / y) * z. R(T(x / (y / z),u),y / z,z) = T((x * z) / y,u). R((x * y) / z,u,w) = R(R(x / (z / y),u,w),z / y,y). R(R(x / (y / z),u,w),y / z,z) = R((x * z) / y,u,w). x \ y != L(T(T(z,u),w),u,z) | x * T(T(z,z * u),w) = y. (x * y) * T(T(x,x * y),z) = x * (y * T(T(x,y),z)). x / y != R(z \ (u / w),z,w) | T(u / (z * w),z) * y = x. T(x / (y * z),y) * (y * z) = ((y \ (x / z)) * y) * z. a(x,y,x) = (z * u) \ (R(z,w,z) * u). x \ y != (z * u) \ (R(z,w,z) * u) | x * a(v5,v6,v5) = y. x * a(y,z,y) = R(u,w,u) * (u \ x). R(x,y,x) * (x \ z) = z * a(u,w,u). x * y != z * a(u,w,u) | x \ (a(u,w,u) * z) = y. R(x,y,x) \ (a(z,u,z) * w) = x \ w. x != L(y \ 1,y,z) | z \ (z / y) = x. x \ (x / y) = (y * x) \ ((y * x) / y). (x * y) \ ((x * y) / x) = y \ (y / x). (x * y) \ (x * (y / x)) = L(x \ 1,x,y). ((x \ y) * x) \ (y / (y / x)) = L((x \ y) \ 1,x \ y,x). R(x,y,y \ z) \ z = y * ((x * y) \ z). x / (y * (x \ (x / y))) = R(x,y,y \ x). x != T(R(y,z,u),w) | R(T(y,w),z,u) = x. 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. L(x,y,z) * (z * y) != u | z * (y * T(x,z * y)) = u. (R(x,y,z) * u) * x != w | R(x,y,z) * (u * x) = w. (L(x,y,z) * u) * x != w | L(x,y,z) * (u * x) = w. x * ((K(y,z) * (u \ x)) \ x) = (x / K(y,z)) * T(u,x). x != (y \ 1) \ (z \ 1) | (z / y) \ 1 = x. (x / y) \ 1 = T((y \ x) \ 1,y \ 1). T((x \ y) \ 1,x \ 1) = (y / x) \ 1. (x / y) \ 1 != T(z,y \ 1) | (y \ x) \ 1 = z. T(x,y \ 1) != (z / y) \ 1 | (y \ z) \ 1 = x. (x * (y * z)) \ (x * (y * (z * u))) != w | L(L(u,z,y),y * z,x) = w. (x * (y * (z * u))) \ (x * ((y * z) * u)) != w | L(a(y,z,u),y * (z * u),x) = w. L(x * y,x \ 1,x) != z | x * L(y,x,x \ 1) = z. ((x * K(y,z)) * u) / (x * u) != w | R(K(y,z),x,u) = w. (x \ 1) * T(y,x \ y) != z | L(y / x,x,x \ 1) = z. (x \ y) * (y \ (x * (z * (x \ y)))) = L(z,x \ y,x) * (x \ y). T(x,L(K(y,z),u,w)) = x. x != y * L(K(z,u),w,v5) | L(K(z,u),w,v5) * y = x. x * L(K(y,z),u,w) != v5 | L(K(y,z),u,w) * x = v5. (x * L(y,z,u)) / x = L((x * y) / x,z,u). L((x * y) / x,z,u) = (x * L(y,z,u)) / x. x * y != z * L(u \ 1,u,w) | (z * ((w * u) \ w)) / y = 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). T(x,L(x \ 1,y,z)) = x. T(x,x * L(x \ 1,y,z)) = x. T(x,y \ (y / x)) = x. x \ y != T(z,u \ (u / z)) | x * z = y. (x \ (x / y)) * y = y * (x \ (x / y)). ((x / (y * z)) * y) * z = (y * z) * R((y * z) \ x,y,z). (x * y) * R((x * y) \ z,x,y) = ((z / (x * y)) * x) * y. R(x,y,y \ z) * z != u | (x * y) * (y \ z) = u. ((x / y) * z) * (z \ y) = y * R(y \ x,z,z \ y). x * R(x \ y,z,z \ x) = ((y / x) * z) * (z \ x). (R(K(x,y),z,u) * w) * v5 != w * R(K(x,y),z,u) | 1 = v5. 1 = K(x,R(K(y,z),u,w)). K(x,R(K(y,z),u,w)) = 1. K(x,R(T(K(y,z),u),w,v5)) = 1. ((((x * y) * z) / (x * y)) * x) * y = (x * y) * R(z,x,y). (x * R(y,z,u)) / x = R((x * y) / x,z,u). R((x * y) / x,z,u) = (x * R(y,z,u)) / x. (x * R(x \ 1,y,z)) * x = x * (x * R(x \ 1,y,z)). (L(x,y,z) * (x \ u)) * x = L(x,y,z) * T(u,x). a(x,a(y,z,y) * u,w) = (x * (a(y,z,y) * (u * w))) \ ((x * (a(y,z,y) * u)) * w). (x * (a(y,z,y) * (u * w))) \ ((x * (a(y,z,y) * u)) * w) = a(x,a(y,z,y) * u,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). a(x * a(y,z,y),u,w) = (x * (a(y,z,y) * (u * w))) \ (((x * a(y,z,y)) * u) * w). (x * (a(y,z,y) * (u * w))) \ (((x * a(y,z,y)) * u) * w) = a(x * a(y,z,y),u,w). (x \ L(x * y,z,u)) * x = L(y * x,z,u). (x * y) * R(y,z,u) = y * (T(x,y) * R(y,z,u)). x * (T(y,x) * R(x,z,u)) = (y * x) * R(x,z,u). T(L(x,y,z) * (x * u),L(x,y,z)) = x * (u * L(x,y,z)). x * y != L(y,z,u) \ y | L(y,z,u) \ 1 = x. L(x,y,z) \ 1 = x \ (L(x,y,z) \ x). x \ (L(x,y,z) \ x) = L(x,y,z) \ 1. x * (L(x,y,z) \ 1) = L(x,y,z) \ x. (x \ y) \ (((x \ 1) * y) \ (x \ y)) = L(x \ y,x,x \ 1) \ 1. x \ a(y \ 1,y,x) = L(x,y,y \ 1) \ 1. L(x,y,y \ 1) \ 1 = x \ a(y \ 1,y,x). x * y != L(x,z,u) \ x | T(L(x,z,u) \ 1,x) = y. T(L(x,y,z) \ 1,x) = L(x,y,z) \ 1. K(((((x \ 1) \ y) \ 1) * x) \ 1,z) = K(y,z). T(x,K(y,z)) = u * T(x / u,(u \ 1) \ 1). R(x,x \ 1,y) != z | L(x,x \ 1,y) = z. L(x / y,z,u) * y != w | w = y * L(y \ x,z,u). L(x / y,z,u) * y != w | y * L(y \ x,z,u) = w. (x * ((y * x) \ z)) / x = L((y \ z) / x,x,y). L((x \ y) / z,z,x) = (z * ((x * z) \ y)) / z. 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 / R(y \ x,z,u) = R(x / y,z,u) \ x. 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 / (z \ (x \ y)). x != (y \ 1) * R(y,z,u) | y \ R(y,z,u) = x. x \ R(x,y,z) = (R(x,y,z) \ x) \ 1. (R(x,y,z) \ x) \ 1 = x \ R(x,y,z). x * R(x \ 1,y,z) = (R(x \ 1,y,z) \ (x \ 1)) \ 1. (R(x \ 1,y,z) \ (x \ 1)) \ 1 = x * R(x \ 1,y,z). (x \ R(x * y,z,u)) * x = 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). x / y != (z \ 1) \ L(u,z,z \ 1) | (z * u) * y = x. (x * ((x \ 1) * y)) * (x \ 1) = L(y * (x \ 1),x,x \ 1). 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,x \ 1,x) != z | (x \ 1) * y = z. (x \ 1) * (x * (y / x)) = L(y,x \ 1,x) / x. x != (L(y,z,u) \ 1) * y | L(y,z,u) \ y = x. 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) \ 1) / (x \ 1) = L(x,y,z) \ x. (L(x,y,z) \ x) \ 1 = x \ L(x,y,z). (x \ 1) * (L(y,z,u) \ y) = ((y \ L(y,z,u)) * x) \ 1. ((x \ L(x,y,z)) * u) \ 1 = (u \ 1) * (L(x,y,z) \ x). a(x,x \ 1,y) \ 1 = y \ L(y,x \ 1,x). a(x \ 1,x,y) \ 1 = y \ L(y,x,x \ 1). x * (y * (z / y)) = (y * (((x * z) / x) / y)) * x. (x * (((y * z) / y) / x)) * y = y * (x * (z / x)). (x / (y * x)) \ T(x,T(y,x)) = x * y. (x / (y * x)) \ T(x,y) = x * y. (x * ((y \ (x \ z)) * y)) / x = (y \ (z / 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). x \ y != L((z * u) / z,w,v5) | x * ((z * L(u,w,v5)) / z) = y. (x * y) * ((z * L(u,y,x)) / z) = x * (y * ((z * u) / z)). L((x * ((y \ z) \ u)) / x,y \ z,y) = (x * (z \ (y * u))) / x. ((x * R(y,z,u)) / x) * (z * u) != w | (((x * y) / x) * z) * u = w. (x \ L(y,z,u)) * x = L((x \ y) * x,z,u). L((x \ y) * x,z,u) = (x \ L(y,z,u)) * x. K((((x \ y) \ 1) * (x \ 1)) \ 1,z) = K(y,z). T(x * y,K(z,u)) = x * T(y,K(w,v5)). x * y != z * T(u,K(w,v5)) | x \ T(z * u,K(v6,v7)) = y. x \ T(x * y,K(z,u)) = T(y,K(w,v5)). T(x,K(y,z)) = u \ T(u * x,K(w,v5)). x * y != T(x * (z / x),u) | T(z,u) / x = y. T(x,K(y,z)) / u = T(x / u,K(w,v5)). T(x / y,K(z,u)) = T(x,K(w,v5)) / y. T(x,K(y,z)) != u | x * K(w,K(v5,v6)) = u. x * K(y,K(z,u)) = w \ T(w * x,K(v5,v6)). x \ T(x * y,K(z,u)) = y * K(w,K(v5,v6)). T(x,K(y,z)) != u | K(w,K(v5,v6)) * x = u. K(x,K(y,z)) * (u / w) = T(u,K(v5,v6)) / w. T(x,K(y,z)) / u = K(w,K(v5,v6)) * (x / u). x / R(y,z,u) = R(x / (x / y),z,u) \ x. R(x / (x / y),z,u) \ x = x / R(y,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 / x),z,u) \ x = x / R(y,z,u). (L(x,y,z) \ x) \ (L(x,y,z) \ 1) = x \ 1. L((x \ ((y \ 1) \ z)) * x,y \ 1,y) = (x \ (y * z)) * x. (x / y) \ T(x,K(z,u)) = y * K(w,K(v5,v6)). T(x,K(y,z)) / (u \ x) = K(w,K(v5,v6)) * u. R(T(x / (x / y),z),u,w) \ x = x / R(T(y,z),u,w). R((x \ (y / (1 / z))) * x,z \ 1,z) = (x \ (y * z)) * x. (T(x,K(y,z)) / u) \ x = u * K(w,K(v5,v6)). (K(x,K(y,z)) * u) \ w = (u \ w) * K(v5,K(v6,v7)). (x * y) * L(L(z,T(x,y),y),u,w) = y * (T(x,y) * L(z,u,w)). T(x,y) = T(x,R(x,z,u) \ y). T(x,R(x,y,z) \ u) = T(x,u). T(x,(x \ 1) * y) = T(x,y). T(x,(x \ y) * z) = T(x,y * z). T(x,x \ y) = T(x,(x \ 1) * y). T(x,(x \ 1) * y) = T(x,x \ y). x != T(y,z * y) | T(y,z) = x. T(x,y) = T(x,(x \ 1) * (y * x)). T(x,(x \ 1) * (y * x)) = T(x,y). T(x \ 1,x * y) = T(x \ 1,y). T(x,y) = T(x,x \ ((x \ 1) \ y)). T(x,x \ ((x \ 1) \ y)) = T(x,y). T(x,x \ (y \ T(y,z))) != u | T(x,x \ 1) = u. T(x,x \ 1) = T(x,T(x \ 1,y)). T(x,T(x \ 1,y)) = T(x,x \ 1). T(x,T(y \ 1,z)) != u | T(x,T(1 / y,z)) = u. T(x,T(1 / x,y)) = T(x,x \ 1). x != T(y,y \ 1) | R(y,z,y) = x. R(x,y,x) = T(x,T(1 / x,z)). T(x,T(1 / x,y)) = R(x,z,x). T(x \ 1,T(x,y)) = R(x \ 1,z,x \ 1). x != R(y \ 1,z,y \ 1) | T(y \ 1,y) = x. T(x \ 1,x) = T(x \ 1,T(x,y)). T(x \ 1,T(x,y)) = T(x \ 1,x). T(1 / x,T(x,y)) = x \ 1. T(1 / T(x,y),x) = T(x,y) \ 1. x \ y != L(R(z \ 1,u,w),z,v5) | x * R((v5 * z) \ v5,u,w) = y. (x * y) * R((y * T(x,y)) \ y,z,u) = y * (T(x,y) * R(T(x,y) \ 1,z,u)). (x * y) * R((x * y) \ x,z,u) = x * (y * R(y \ 1,z,u)). (x * y) * R((x * y) \ x,z,u) != w | x * (y * R(y \ 1,z,u)) = w. x != L(y \ z,y,u) | (u * y) \ (u * z) = x. (x * (y * z)) \ (x * y) = L(L(z \ 1,y * z,x),z,y). L(L(x \ 1,y * x,z),x,y) = (z * (y * x)) \ (z * y). x \ y != L(L(z \ 1,u,w),z,v5) | x * L((v5 * z) \ v5,u,w) = y. (x * y) * L((x * y) \ x,z,u) = x * (y * L(y \ 1,z,u)). x \ y != L(R(z \ 1,u,w),z,v5) | x * R(v5 \ (v5 / z),u,w) = y. (x * y) * R(x \ (x / y),z,u) = x * (y * R(y \ 1,z,u)). (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) * (y * x)) / ((x / y) * y) = L((x / y) * y,y,x / y). L(x,T(y,z),z) * (y * z) = z * (T(y,z) * T(x,y * z)). x * (T(y,x) * T(z,y * x)) = L(z,T(y,x),x) * (y * x). T((x * (y * z)) \ ((x * y) * u),w) = L(T(L(z,y,x) \ u,w),L(z,y,x),x * y). L(T(L(x,y,z) \ u,w),L(x,y,z),z * y) = T((z * (y * x)) \ ((z * y) * u),w). (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). (x * y) * ((z * ((x * y) \ (u * y))) / z) = ((z * R(u / x,x,y)) / z) * (x * y). ((x * R(y / z,z,u)) / x) * (z * u) = (z * u) * ((x * ((z * u) \ (y * u))) / x). R(T(T(x / y,z),y * u),y,u) = T((y * u) \ (x * u),z). x \ T(x * y,z) = (x \ 1) * T((x \ 1) \ y,z). (x \ 1) * T((x \ 1) \ y,z) = x \ T(x * y,z). x / y != R(T(1 / z,u),z,z \ w) | T((z \ w) / w,u) * y = x. T((x \ y) / y,z) * y = (T(1 / x,z) * x) * (x \ y). ((x \ y) / y) \ 1 = L(x,x \ 1,y \ 1). L(x,x \ 1,y \ 1) = ((x \ y) / y) \ 1. L(x,x \ 1,y \ 1) = (y \ (y / x)) \ 1. L(x,x \ 1,y \ 1) = L(x \ 1,x,y) \ 1. L(x / y,(x / y) \ 1,y \ 1) = (y / x) \ 1. L(x,x \ 1,y \ 1) = ((x * y) \ ((x * y) / x)) \ 1. ((x * y) \ ((x * y) / x)) \ 1 = L(x,x \ 1,y \ 1). L(x,x \ 1,y \ 1) \ 1 = L(x \ 1,x,y). L(x \ y,(x \ y) \ 1,x \ 1) = (y \ x) \ 1. L(x,x \ 1,y) \ 1 = L(x \ 1,x,y \ 1). L(x \ 1,x,y \ 1) = L(x,x \ 1,y) \ 1. 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(T(x,y \ 1),y \ 1,y) != z | y * (x * (y \ 1)) = z. x * (((x \ 1) \ y) * (x \ 1)) = T(x * y,x \ 1). x * y != R(T(z / (1 / u),w),1 / u,u) | T(z * u,w) / y = x. T(x * y,z) / y = T(x / (1 / y),z) * (1 / y). T(x / (1 / y),z) * (1 / y) = T(x * y,z) / y. (x / y) * (x \ (x / z)) != u | x * (((x * z) * y) \ x) = u. ((x * (y \ x)) * z) / x != u | x / ((x / z) * (x \ y)) = u. x * (K(y,z) * u) = L(K(y,z),u,x) * (x * u). L(K(x,y),z,u) * (u * z) = u * (K(x,y) * z). x * (y * T(L(x,z,u),x * y)) = L(x,z,u) * (x * y). (x * y) * z != (y * z) * u | R(T(x,y * z),y,z) = u. (x * y) * z != (u * x) * y | R(T(u,x * y),x,y) = z. T(x,y) * (x \ z) != u | (x \ z) * T((x \ z) \ z,y) = u. T(L(x,y,z / y),y) = z \ ((z / y) * (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 \ (x / y)) * x) = y * T(y \ 1,x). x \ y != (z * ((u * z) \ w)) / z | x * L((u \ w) / z,z,u) = y. (x * y) * L((x \ y) / y,y,x) = T(y,y / (x * y)). (x * (K(y,z) * u)) / (x * u) = L(K(y,z),u,x). ((x * y) * z) * R(T(x,y * z),y,z) = (x * y) * (y \ ((x * y) * z)). L(K(x,x \ 1),y,z) = K(x,x \ 1). (x * (y \ 1)) * K(z,z \ 1) = x * (1 / y). (x * y) * K(z,z \ 1) = x * ((y \ 1) \ 1). (x * (1 / (1 / y))) * K(z,z \ 1) = x * y. x != K(y,y \ 1) | K(z \ 1,z) = x. K(x \ 1,x) = L(K(y,y \ 1),z,u). L(K(x,x \ 1),y,z) = K(u \ 1,u). L(K(x \ 1,x),y,z) = K(u \ 1,u). x / y != L(K(z \ 1,z),u,w) | K(v5 \ 1,v5) * y = x. K(x \ 1,x) * (y * z) = y * (K(u \ 1,u) * z). (x * (1 / y)) * K(z \ 1,z) = x * (y \ 1). K(x,x \ 1) * (y * z) = y * ((z \ 1) \ 1). K(x \ 1,x) * (y * z) = y * (1 / (1 / z)). K(x \ 1,x) * (y * z) = y * (z * K(u \ 1,u)). x * y != z * K(u \ 1,u) | x \ (1 / (1 / z)) = y. x \ (1 / (1 / (x * y))) = y * K(z \ 1,z). x \ (1 / (1 / y)) = (x \ y) * K(z \ 1,z). (x \ y) * K(z \ 1,z) = x \ (1 / (1 / y)). (x \ (1 / (1 / y))) * K(z,z \ 1) = x \ y. K(x \ 1,x) * (y \ z) = y \ (1 / (1 / z)). (x \ y) * K(z,z \ 1) = x \ ((y \ 1) \ 1). K(x \ 1,x) * (y \ z) = y \ (K(u \ 1,u) * z). x \ (K(y \ 1,y) * z) = K(u \ 1,u) * (x \ z). (1 / x) * y = (x \ 1) * (K(z,z \ 1) * y). (x \ 1) * (K(y,y \ 1) * z) = (1 / x) * z. ((x \ 1) \ 1) * y = x * (K(z,z \ 1) * y). x * (K(y,y \ 1) * z) = ((x \ 1) \ 1) * z. (x * K(y,y \ 1)) * z = x * ((z \ 1) \ 1). (x \ 1) * (y * K(z,z \ 1)) = (1 / x) * y. (x \ 1) * ((y \ 1) \ 1) = (1 / x) * y. x * ((y \ 1) \ 1) != z | K(u,u \ 1) * (x * y) = z. K(x,x \ 1) * ((y \ 1) * z) = (1 / y) * z. x * ((y \ 1) \ 1) != z | (x * y) * K(u,u \ 1) = z. ((x \ 1) * y) * K(z,z \ 1) = (1 / x) * y. x * y != z * (z \ u) | x \ u = y. x \ y = K(z,z \ 1) * (((x \ 1) \ 1) \ y). K(x,x \ 1) * (((y \ 1) \ 1) \ z) = y \ z. (K(x,x \ 1) * y) * z = y * ((z \ 1) \ 1). x * y != (z \ K(u,w)) * ((z \ 1) \ 1) | K(u,w) / y = x. K(x,y) / z = (z \ K(x,y)) * K(u,u \ 1). (x \ K(y,z)) * K(u,u \ 1) = K(y,z) / x. K(((1 / x) * y) \ z,u) = K(((x \ 1) * y) \ z,u). ((1 / x) * y) * z = ((x \ 1) * y) * ((z \ 1) \ 1). ((x \ 1) * y) * ((z \ 1) \ 1) = ((1 / x) * y) * z. (x \ y) * z = (((x \ 1) \ 1) \ y) * ((z \ 1) \ 1). (((x \ 1) \ 1) \ y) * ((z \ 1) \ 1) = (x \ y) * z. (x \ 1) \ ((x \ 1) / y) = (x \ (x / (y \ 1))) \ 1. (x \ (x / (y \ 1))) \ 1 = (x \ 1) \ ((x \ 1) / y). (x \ 1) \ ((y \ 1) \ ((z \ 1) * u)) = ((((u \ 1) * z) / y) / x) \ 1. 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) / (x / (x * y)) = (x / y) * (x * (y / x)). ((x / y) \ 1) \ L((x / y) \ 1,x / y,x) = (x / y) * (y / x). (x * L(x \ 1,y,z)) \ 1 = x \ (L(x \ 1,y,z) \ 1). (x * ((x \ y) * z)) \ (y * z) != u | a(x,x \ y,z) = u. (x * (T(y,x) * z)) \ ((y * x) * z) != u | a(x,T(y,x),z) = u. ((x \ 1) * (R(x,y,z) * u)) \ ((x \ R(x,y,z)) * u) != w | a(x \ 1,R(x,y,z),u) = w. (x * ((L(x,y,z) \ 1) * u)) \ ((L(x,y,z) \ x) * u) != w | a(x,L(x,y,z) \ 1,u) = w. x * (K(y,z) / x) = K(y,z) * K(u,u \ 1). K(x,y) * K(z,z \ 1) = u * (K(x,y) / u). (x \ 1) * (y * (K(z,u) / y)) = (1 / x) * K(z,u). x != y \ R(y,z \ 1,z) | a(y,z \ 1,z) = x. a(x,y \ 1,y) = a(x,y \ 1,(y \ 1) \ 1). a(x,y \ 1,(y \ 1) \ 1) = a(x,y \ 1,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 * 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,K(y,z)) \ u = (x \ u) * K(w,K(v5,v6)). x != y * K(z \ y,z) | T(y,z) = x. T(x \ y,K(z,u)) = T(x,K(w,v5)) \ y. x != y \ T(y * z,u) | T(z * y,u) / y = x. 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 \ 1) * T((x \ 1) \ 1,y) = x \ T(x,y). (x \ 1) * T((x \ 1) \ (x \ y),z) = x \ T(y,z). (x \ y) * T((x \ y) \ y,z) != u | T(x,z) * (x \ y) = u. T(x,y) * (x \ 1) = x \ T(x,y). x / y != (1 / z) \ T((1 / z) * u,w) | (z * T(z \ u,w)) * y = x. (x * T(x \ y,z)) * (1 / x) = T(y * (1 / x),z). x * T(y,x \ 1) = T(x * y,x \ 1). T(x * y,x \ 1) = x * T(y,x \ 1). (1 / x) * T((1 / x) \ y,z) = T(y * x,z) / x. x \ ((y \ x) * y) != z | K(y \ x,y) = z. K(x \ (x / y),x) = y * T(y \ 1,x). x != y * T(y \ 1,z) | (y \ 1) \ T(y \ 1,z) = x. (x \ 1) \ T(x \ 1,y) = K(y \ (y / x),y). K(x \ (x / y),x) = (y \ 1) \ T(y \ 1,x). x != (y \ 1) * T((y \ 1) \ 1,z) | y \ T(y,z) = x. x \ T(x,y) = K(y \ (y / (x \ 1)),y). K(x \ (x / (y \ 1)),x) = y \ T(y,x). x / y != z \ T(z,u) | K(u \ (u / (z \ 1)),u) * y = x. K(x \ (x / (y \ 1)),x) * y = T(y,x). T(x,y) = K(y \ (y / (x \ 1)),y) * x. T(x,y) = K(y \ (y / (1 / x)),y) * x. x * y != K(z \ (z / (1 / u)),z) * u | T(u,z) / y = x. T(x,y) / x = K(y \ (y / (1 / x)),y). K(x \ (x / (1 / y)),x) = T(y,x) / y. K(x \ (x / y),x) != z | y * T(y \ 1,x) = z. (1 / x) * T((1 / x) \ 1,y) = T(x,y) / x. (1 / x) * T(x,y) = T(x,y) / x. x != T(y,z) / y | y \ T(y,z) = x. x \ T(x,y) = (1 / x) * T(x,y). (1 / x) * T(x,y) = x \ T(x,y). x \ (K(y \ 1,y) * z) != u | (x \ z) * K(w \ 1,w) = u. ((x \ 1) * y) \ z = ((((1 / x) * y) \ z) \ 1) \ 1. ((((1 / x) * y) \ z) \ 1) \ 1 = ((x \ 1) * y) \ z. x / T(y,K(z,u)) = K(w,K(v5,v6)) \ (x / y). K(x,K(y,z)) \ (u / w) = u / T(w,K(v5,v6)). T(x / y,K(z,u)) = x / T(y,K(w,v5)). x != (y / z) * (y * (z / y)) | T(y,z) = x. T(x,y) = (x / y) / (x / (x * y)). T(x \ 1,y) = ((x \ 1) / y) / ((((y \ 1) * x) \ x) \ 1). ((x \ 1) / y) / ((((y \ 1) * x) \ x) \ 1) = T(x \ 1,y). (x \ 1) * (x * (y / x)) != z | L(y,x \ 1,x) / x = z. L(K(x,y),z \ 1,z) / z = (1 / z) * K(x,y). ((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 * y) * (1 / x),x) != z * (1 / x) | y * x = z. x != T(y * z,u) / z | z \ T(z * y,u) = x. x \ T(x * y,z) = (1 / x) * T((1 / x) \ y,z). (1 / x) * T((1 / x) \ y,z) = x \ T(x * y,z). ((L(x,y,y \ 1) \ z) \ 1) \ 1 = ((y \ 1) * (y * x)) \ z. x \ y != z * T(z \ (u * z),w) | x * (T(u,w) * z) = y. x * (T(y,z) * (1 / x)) = T(x * (y * (1 / x)),z). T(x * (y * (1 / x)),z) = x * (T(y,z) * (1 / x)). T((x \ 1) * (y * (1 / (x \ 1))),z) = (x \ 1) * (T(y,z) * x). (x * (T(y,x) * T(z,y * x))) \ (z * (y * x)) = a(x,T(y,x),T(z,y * x)). a(x,y,z) != u | u = (x * (y * z)) \ ((x * y) * z). a(x,y,z) != u | (x * (y * z)) \ ((x * y) * z) = u. R((x * y) / (z * y),u,w) * (z * y) = (R(x / z,u,w) * z) * y. R(R(x \ 1,x,y),z,u) * (x * y) = (x * R(x \ 1,z,u)) * y. L(x / (y * x),z,u) * (y * x) = (L(1 / y,z,u) * y) * x. L((x * y) / (z * y),u,w) * (z * y) = (L(x / z,u,w) * z) * y. (x * y) * L(x \ (x / y),z,u) = x * (y * L(y \ 1,z,u)). (x * y) * L((x * y) \ z,u,w) = x * (y * L(y \ (x \ z),u,w)). (x * y) * L(L(x,z,u),w,v5) = x * (y * L(L(x,z,u),w,v5)). (x * y) * R((x * y) \ (x * z),u,w) = x * (y * R(y \ z,u,w)). (x * y) * R((x * y) \ z,u,w) = x * (y * R(y \ (x \ z),u,w)). x \ 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). L(x * (y \ 1),z,u) / (y \ 1) = L(x / y,z,u) * y. x * y != L(L(z \ u,w,v5),z,z \ 1) | x \ L((z \ 1) * u,w,v5) = y. (x \ 1) \ L((x \ 1) * y,z,u) = x * L(x \ y,z,u). L(T(x,y),z,L(x,u,w)) != v5 | T(x,y) = v5. T(x,L(x,y,z) \ u) = u \ (L(x,y,z) * (x * (L(x,y,z) \ u))). x \ (L(y,z,u) * (y * (L(y,z,u) \ x))) = T(y,L(y,z,u) \ x). x \ y != L(T((z \ u) \ w,v5),z \ u,z) | x * T(u \ (z * w),v5) = y. 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). x != y \ (y * z) | z = x. (x * y) \ z = L(y \ (x \ z),y,z / y). L(x \ (y \ z),x,z / x) = (y * x) \ z. x / y != R(T(z / (u / w),v5),u / w,w) | T((z * w) / u,v5) * y = x. T((x * y) / z,u) * z = (T(x / (z / y),u) * (z / y)) * y. (T(x / (y / z),u) * (y / z)) * z = T((x * z) / y,u) * y. x \ y != L((z * (u \ 1)) / z,u,w) | x * ((z * ((w * u) \ w)) / z) = y. (x * y) * ((z * ((x * y) \ x)) / z) = x * (y * ((z * (y \ 1)) / z)). x * (y * ((x \ y) / y)) = T(y,y / (x * y)). R(T(x,y * z),y,z) = T((y * z) \ ((y * x) * z),y). T((x * y) \ ((x * z) * y),x) = R(T(z,x * y),x,y). T((x * x) \ (x * (y * x)),x) = R(T(y,x * x),x,x). T(L(T(x,y),y,y),y) = R(T(x,y * y),y,y). R(T(x,y * y),y,y) = T(L(T(x,y),y,y),y). R(T(x,y * y),y,y) != L(z,y,y) | T(T(x,y),y) = z. x != R(y,z,u) * (y \ 1) | y \ R(y,z,u) = x. x \ R(x,y,z) = (x \ 1) * R((x \ 1) \ 1,y,z). (x \ 1) * R((x \ 1) \ 1,y,z) = x \ R(x,y,z). (x \ 1) * R((x \ 1) \ 1,y,z) != u | x \ R(x,y,z) = u. (x * y) * R(T(x,y),z,u) != w | R(x,z,u) * (x * y) = w. 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 = 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. x * y != z * (u * (u \ w)) | x \ (z * w) = y. R(x,y,z) \ (x * u) = x * (R(x,y,z) \ u). x * y != z * (u * (u \ 1)) | x \ z = y. R(x,y,z) \ x = x * (R(x,y,z) \ 1). x * (R(x,y,z) \ 1) = R(x,y,z) \ x. a(R(x,y,z),x,u) = (x * (R(x,y,z) * u)) \ ((R(x,y,z) * x) * u). (x * (R(x,y,z) * u)) \ ((R(x,y,z) * x) * u) = a(R(x,y,z),x,u). x / y != z \ (R(z,u,w) * v5) | (R(z,u,w) * (z \ v5)) * y = x. (R(x,y,z) * (x \ u)) * x = T(R(x,y,z) * u,x). x \ ((x * y) * z) = R(x,y,z) * (x \ (y * z)). R(x,y,z) * (x \ (y * z)) = x \ ((x * y) * z). R(x,y,z) * (x * u) != w | w = x * (R(x,y,z) * u). R(x,y,z) * (x * u) != w | x * (R(x,y,z) * u) = w. (x \ ((x * y) * z)) / (x \ (y * z)) = R(x,y,z). R(x,y,z) = (x \ ((x * y) * z)) / (x \ (y * z)). L(x,x \ 1,y) = (x \ ((x * (x \ 1)) * y)) / (x \ ((x \ 1) * y)). (x \ ((x * (x \ 1)) * y)) / (x \ ((x \ 1) * y)) = L(x,x \ 1,y). R(x,y,z) * ((x \ u) * x) = T(R(x,y,z) * u,x). R(x,y,z) * T(u,x) = T(R(x,y,z) * u,x). T(R(x,y,z) * u,x) = R(x,y,z) * T(u,x). x != y * T(T(z,y),u) | T(z,u) * y = x. T(x,y) * R(y,z,u) = T(R(y,z,u) * T(x,R(y,z,u)),y). T(R(x,y,z) * T(u,R(x,y,z)),x) = T(u,x) * R(x,y,z). x != R(L(y,z,u),w,v5) | L(R(y,w,v5),z,u) = x. L(R(x \ 1,y,z),x,u) = L(R(x \ 1,y,z),x,x \ u). L(R(x \ 1,y,z),x,x \ u) = L(R(x \ 1,y,z),x,u). 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 \ y = T(x,z) * (x \ (T(x,z) \ y)). T(x,y) * (x \ (T(x,y) \ z)) = x \ z. T(x,y) \ x = x * (T(x,y) \ 1). x * (T(x,y) \ 1) = T(x,y) \ 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). x * y != T(z,u) \ z | x \ (z / T(z,u)) = y. x \ (x / T(x,y)) = T(x,y) \ 1. x != T(y,z) \ 1 | T(1 / T(y,z),y) = x. T(1 / T(x,y),x) = x \ (x / T(x,y)). T(x,y) \ (x \ z) = x \ (T(x,y) \ z). (1 / T(x,y)) * x = x / T(x,y). x != y / T(y,z) | T(y,z) \ y = x. T(x,y) \ x = (1 / T(x,y)) * x. (1 / T(x,y)) * x = T(x,y) \ x. (x * T(x \ 1,y)) \ 1 = T(x \ 1,y) \ (x \ 1). (x * y) * T((x * y) \ z,x) = ((x \ (z / y)) * x) * y. x * (K(y,z) \ u) = (u / K(y,z)) * T(x,u). (x / K(y,z)) * T(u,x) = u * (K(y,z) \ x). (K(x,y) \ z) * T(u,z) = u * (K(x,y) \ z). T(x,y) = T(x,K(z,u) \ y). T(x,K(y,z) \ u) = T(x,u). T(x,y) = T(x,K(z,u) * y). T(x,K(y,z) * u) = T(x,u). T(x,y) = T(x,y * K(z,u)). T(x,y * K(z,u)) = T(x,y). T(x,y * z) = T(x,z * y). x != T(y,L(K(z,u),w,v5)) | y = x. x = T(x,K(y,z) * L(K(u,w),v5,v6)). T(x,K(y,z) * L(K(u,w),v5,v6)) = x. x != T(y,K(z,u)) | y = x. x = T(x,K(y,z) * K(u,w)). T(x,K(y,z) * K(u,w)) = x. x \ y != T(z,K(u,w) * v5) | x * T(z,v5) = y. (K(x,y) * z) * T(u,z) = u * (K(x,y) * z). T(x,y * (z / y)) = T(x,z). T(x,T(y,z)) = T(x,y). K(x,y) * (z * T(u,z)) = L(u,z,K(x,y)) * (K(x,y) * z). L(x,y,K(z,u)) * (K(z,u) * y) = K(z,u) * (y * T(x,y)). x * T(y,z) = T(T(y,z) * x,y). T(T(x,y) * z,x) = z * T(x,y). T(T(x,y),K(z,u)) = T(x,T(y,w)). T(x,y) \ (z * T(x,y)) = T(z,x). x != T(y,T(z,u)) | T(y,z) = x. T(x,y) = T(x,T(T(y,z),u)). T(x,T(T(y,z),u)) = T(x,y). x != T(y,z) | z \ (y * z) = x. x \ (y * x) = T(y,T(x,z)). T(x,T(y,z)) = y \ (x * y). x \ y != T(z,u) | x * T(z,T(u,w)) = y. x * T(y,T(x,z)) = y * x. x / y != T(z,u) | T(z,T(u,w)) * y = x. T(x,T(y,z)) * K(u,w) = K(u,w) * T(x,y). T(x,T(y / z,y)) != u | T(x,z \ y) = u. T(x,y \ z) = T(x,z / y). T(x,y / z) = T(x,z \ y). T(x,L(T(y,z),u,w)) = T(x,L(y,u,w)). T(x,R(T(y,z),u,w)) = T(x,R(y,u,w)). T(T(x,y) * z,x) != u | z * T(x,y) = u. T(x,y) * T(T(z,x),u) != w | T(z,u) * T(x,y) = w. x != T(y,z) | T(y,T(z,u)) = x. T(x,T(y,z)) = T(x,y * K(u,w)). (x * y) \ (z * (x * y)) = T(z,y * x). x \ (y * z) = T((y * z) / x,z * y). T((x * y) / z,y * x) = z \ (x * y). x != T(y,(y \ z) * u) | T(y,z * u) = x. T(x,y * z) = T(x,z * (x \ y)). T(x,y * (x \ z)) = T(x,z * y). (x * y) \ ((z * x) * y) = R(T(z,y * x),x,y). T(x,y) / (z * (y / z)) != u | (z * (y / z)) \ x = u. T(x,T(y * z,y)) = T(x,T(z * y,u)). T(x,T(y * z,u)) = T(x,T(z * y,z)). T(x,T(y \ z,u)) = T(x,z / y). T(x,T(y,z)) != u | T(x,y) = u. T(x,y / (z \ (u \ y))) = T(x,(z \ y) \ (u * y)). T(x,y \ (z * y)) != u | T(x,z) = u. T(x,L(T(y,z),u,w)) != v5 | T(x,L(y,u,w)) = v5. T(x,(y \ z) \ z) != u | T(x,y) = u. T(x,K(y,K(z,u)) \ w) != v5 | T(x,w) = v5. T(x,y * z) != u | T(x,z * y) = u. T(x,(y \ z) * y) != u | T(x,z) = u. T(x,y) != z | T(x,T(y,u)) = z. T(x,T(y,z)) != u | T(x,T(y,w)) = u. T(T(x,K(y,z)),u) = T(x,T(u,w)). x \ y != T((z * u) / z,z) | x * u = y. T(x,y) * z = ((x * z) / x) * T(x,y). ((x * y) / x) * T(x,z) = T(x,z) * y. T(x,y * K(z,u)) != w | T(x,y) = w. x != T(y,z * u) | T(y,u * z) = x. T(x,y * z) = T(x,y * (x \ z)). T(x,y * (x \ z)) = T(x,y * z). T(x,y / z) != u | T(x,z \ y) = u. T(x,y * z) = T(x,y * (x * z)). T(x,y * (x * z)) = T(x,y * z). T(x,y * z) = T(x,z * (x * y)). T(x,y * (x * z)) = T(x,z * y). T(x,y * (z \ 1)) != u | T(x,y * (1 / z)) = u. x \ y != T(z,u * (z * w)) | x * T(z,w * u) = y. ((x * y) * z) * T(x,y * z) = x * ((x * y) * z). x \ y != T(z / u,u) | x * (u \ z) = y. (x * y) * ((y * x) \ z) = (z / (y * x)) * (x * y). (x / (y * z)) * (z * y) = (z * y) * ((y * z) \ x). T((x * y) / (z * y),u) != w | R(T(x / z,u),z,y) = w. R(T(x / y,z * x),y,z) = (y * z) \ (x * z). ((x * y) / x) * T(x,(x * z) / x) = T(x,z) * y. T(T(x,x * y) * z,x) != u | z * T(x,y) = u. x != y * (K(z,u) * w) | y * (w * K(z,u)) = x. x * (y * K(z,u)) = (K(z,u) * y) * T(x,y). (K(x,y) * z) * T(u,z) = u * (z * K(x,y)). (K(x,y) * z) * (z \ u) = (u / z) * (z * K(x,y)). (x / y) * (y * K(z,u)) = (K(z,u) * y) * (y \ x). T(x,(y \ z) \ (u * z)) != w | T(x,(y \ (u \ z)) \ z) = w. (T(x,y * z) * ((x * y) * z)) \ (x * ((x * y) * z)) != u | K((x * y) * z,T(x,y * z)) = u. x * y != ((z * u) / z) * T(z,(z * w) / z) | x \ (T(z,w) * u) = y. x \ (T(x,y) * y) = (x * y) / x. x / (R(x \ 1,y,z) \ 1) = x * R(x \ 1,y,z). L(x,y,z) \ 1 = (x \ 1) * (L(x,y,z) \ x). (x \ 1) * (L(x,y,z) \ x) = L(x,y,z) \ 1. (x \ 1) \ (L(x,y,z) \ 1) = L(x,y,z) \ x. x \ (L(x \ 1,y,z) \ 1) = L(x \ 1,y,z) \ (x \ 1). L(x \ 1,y,z) \ (x \ 1) = x \ (L(x \ 1,y,z) \ 1). (((1 / x) * y) \ y) \ 1 = 1 / R(T(x,(1 / x) * y),1 / x,y). 1 / R(T(x,(1 / x) * y),1 / x,y) = (((1 / x) * y) \ y) \ 1. x * 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 * L(T(x,x * y),z,u)) = L(x,z,u) * (x * y). L(x,y \ 1,y) \ (1 * x) != z | a(y,y \ 1,x) = z. ((x \ 1) / y) / ((x \ ((y \ 1) \ x)) \ 1) = T(x \ 1,y). (x \ 1) \ (x \ L(x * y,z,u)) = L((x \ 1) \ y,z,u). (x \ 1) * L((x \ 1) \ 1,y,z) = x \ L(x,y,z). (x \ 1) * L((x \ 1) \ T(y,x),z,u) = x \ L(y * x,z,u). (x \ y) * L((x \ y) \ y,z,u) != w | L(x,z,u) * (x \ y) = w. L(x,y,z) * (x \ 1) = x \ L(x,y,z). (x / y) * ((y \ x) * z) = (y \ x) * ((x / y) * z). ((x * y) / x) * (y * z) = (x \ (x * y)) * (((x * y) / x) * z). (x \ (x * y)) * (((x * y) / x) * z) = ((x * y) / x) * (y * z). (x / (x / y)) * (y * z) = ((x / y) \ x) * ((x / (x / y)) * z). ((x / y) \ x) * ((x / (x / y)) * z) = (x / (x / y)) * (y * z). (x / y) \ (y \ x) = (y \ x) * ((x / y) \ 1). (x \ y) * ((y / x) \ 1) = (y / x) \ (x \ y). (x * y) * T((x * y) \ x,z) != u | x * (y * T(y \ 1,z)) = u. x * (y * T(y \ 1,x)) = ((x \ (x / y)) * x) * y. ((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). L(x \ 1,x,y) \ z != u | (y \ (y / x)) \ z = u. (x \ (x / y)) \ (y \ 1) = y \ (L(y \ 1,y,x) \ 1). (x \ (x / y)) \ (y \ 1) = y \ ((x \ (x / y)) \ 1). (x \ (x / (y \ 1))) \ y = (y \ 1) \ ((x \ (x / (y \ 1))) \ 1). (x \ 1) \ ((y \ (y / (x \ 1))) \ 1) = (y \ (y / (x \ 1))) \ x. (x * T(x \ 1,y)) * (x \ z) = z * T(z \ (x \ z),y). x * (y * L(T(x,y),z,u)) = L(x,z,u) * (x * y). x * (L(x,y,z) * u) = L(x,y,z) * (x * u). L(x,y,z) * (x * u) = x * (L(x,y,z) * u). x \ (L(x,y,z) * u) = L(x,y,z) * (x \ u). x \ 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). x / y != z \ (L(z,u,w) * v5) | (L(z,u,w) * (z \ v5)) * y = x. (L(x,y,z) * (x \ u)) * x = T(L(x,y,z) * u,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 != L(z,u,w) * (z \ (L(z,u,w) \ v5)) | x * (z \ v5) = y. x \ y != L(z,u,w) * (z \ (L(z,u,w) \ v5)) | y / (z \ v5) = x. (L(x,y,z) * (x \ u)) * x != w | L(x,y,z) * T(u,x) = w. L(x,y,z) * T(u,x) = T(L(x,y,z) * u,x). T(L(x,y,z) * u,x) = L(x,y,z) * T(u,x). L(x,y,z) * T(u,x) != w | T(L(x,y,z) * u,x) = w. ((x \ 1) / y) / (z \ 1) != u | (z \ ((y \ 1) \ x)) \ 1 = u. ((x \ ((y \ 1) \ x)) \ ((y \ 1) \ x)) \ 1 = T(x \ 1,y). (x * T(x \ (y \ x),z)) / (y \ x) = y * T(y \ 1,z). T(x,(y \ 1) \ x) \ 1 = T(x \ 1,y). (x * y) \ (K(x,y) * (y * (x * z))) = L(L(z,x,y),y * x,K(x,y)). ((x * (y * z)) \ 1) / ((y \ 1) * (x \ 1)) = R(z \ 1,y \ 1,x \ 1). x != (y * z) * ((y * u) \ (y * z)) | ((y * z) / u) * z = x. ((x * y) / z) * y = (x * y) / L(y \ z,y,x). (x * y) / L(y \ z,y,x) = ((x * y) / z) * y. ((x * y) / z) * y != (x * y) / u | L(y \ z,y,x) = u. (x * y) / z != ((x * y) / u) * y | L(y \ u,y,x) = z. T(R(x,y,z),u) * (y * z) != w | (T(x,u) * y) * z = w. (T((x * y) / x,z) * x) * y = (x * y) * T(y,z). (x * T(y,z)) * y = (x * y) * T(y,z). 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). L((x \ y) / y,z,u) * y = (L(1 / x,z,u) * x) * (x \ y). x \ y != L(R((z \ u) \ w,v5,v6),z \ u,z) | x * R(u \ (z * w),v5,v6) = y. x * R(x \ (y * z),u,w) = y * ((y \ x) * R((y \ x) \ z,u,w)). x * ((x \ y) * R((x \ y) \ z,u,w)) = y * R(y \ (x * z),u,w). x / y != R(R(z / (u / w),v5,v6),u / w,w) | R((z * w) / u,v5,v6) * y = x. R((x * y) / z,u,w) * z = (R(x / (z / y),u,w) * (z / y)) * y. (R(x / (y / z),u,w) * (y / z)) * z = R((x * z) / y,u,w) * y. (x * y) * R(L(z,y,x),x,y) = (((x * (y * z)) / (x * y)) * x) * y. (((x * (y * z)) / (x * y)) * x) * y = (x * y) * R(L(z,y,x),x,y). T(x * (L(x,y,z) * u),L(x,y,z)) = x * (u * L(x,y,z)). L(x,y \ 1,y) * (y \ 1) = L(x * (y \ 1),y,y \ 1). L(x * (y \ 1),y,y \ 1) = L(x,y \ 1,y) * (y \ 1). (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 != R((z \ (u / (1 / w))) * z,w \ 1,w) | ((z \ (u * w)) * z) / y = x. ((x \ (y * z)) * x) / z = ((x \ (y / (1 / z))) * x) * (1 / z). ((x \ (y / (1 / z))) * x) * (1 / z) = ((x \ (y * z)) * x) / z. x \ y != R(T(T(z / u,w),u * v5),u,v5) | x * T((u * v5) \ (z * v5),w) = y. (x * y) * T((x * y) \ (z * y),u) = (T(z / x,u) * x) * y. x \ (y * (K(z \ 1,z) * u)) != w | (x \ (y * u)) * K(v5 \ 1,v5) = w. T(x * R(y,z,u),y) = T(x,y) * R(y,z,u). x * T(y * R(x,z,u),x) = (y * x) * R(x,z,u). (x * R(y,z,u)) * y = (x * y) * R(y,z,u). x / R(y,z,u) = ((x / y) / R(y,z,u)) * y. ((x / y) / R(y,z,u)) * y = x / R(y,z,u). x / R(y \ x,z,u) = (y / R(y \ x,z,u)) * (y \ x). (x / R(x \ y,z,u)) * (x \ y) = y / R(x \ y,z,u). x * (((x * y) * R(x \ (x / y),z,u)) \ x) = (x / y) / R(x \ (x / y),z,u). x != y / R(z \ y,u,w) | R(y / z,u,w) \ y = x. R(x / y,z,u) \ x = (y / R(y \ x,z,u)) * (y \ x). (x / R(x \ y,z,u)) * (x \ y) = R(y / x,z,u) \ y. x != y * (z * T(u,z)) | y * (u * z) = x. K(x,y) * (z * u) = L(z,u,K(x,y)) * (K(x,y) * u). L(x,y,K(z,u)) * (K(z,u) * y) = K(z,u) * (x * y). L(x,y,K(z,u)) * (y * K(z,u)) = K(z,u) * (x * y). x != K(y,z) * u | u * K(y,z) = x. (x * y) * K(z,u) = L(x,y,K(z,u)) * (y * K(z,u)). L(x,y,K(z,u)) * (y * K(z,u)) = (x * y) * K(z,u). L(x,x \ y,K(z,u)) \ (y * K(z,u)) = (x \ y) * K(z,u). R(x,y,K(z,u)) = L(x,y,K(z,u)). (x * y) * K(z,u) != w * (y * K(z,u)) | L(x,y,K(z,u)) = w. L(x,y * z,K(z,y)) * (z * y) = (x * (y * z)) * K(z,y). x \ y != L(z,u,K(w,v5)) | x * R(z,u,K(w,v5)) = y. (K(x,y) * z) * R(u,z,K(x,y)) = K(x,y) * (z * u). T(x * y,L(x,z,u)) = x * ((L(x,z,u) \ y) * L(x,z,u)). x * ((L(x,y,z) \ u) * L(x,y,z)) = T(x * u,L(x,y,z)). x * y != z * K(u,w) | (K(u,w) * z) / y = x. (K(x,y) * (z * (y * x))) / (x * y) = L(z,y * x,K(x,y)). x * T(y,L(x,z,u)) = T(x * y,L(x,z,u)). T(x * y,L(x,z,u)) = x * T(y,L(x,z,u)). R(x \ R(x,y,z),x,y * z) = ((x * y) * z) / (x * (y * z)). (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)) | K(u,(y \ z) \ z) = x. K(x,(y \ 1) \ 1) = K(x,y). x != K(y,z) | K(K(u,u \ 1) * y,z) = x. K(K(x,x \ 1) * y,z) = K(y,(z \ 1) \ 1). K(x,T(y,K(z,u))) = K(x,y). K(x,((y \ 1) * (z \ 1)) \ 1) = K(x,z * y). K(x,K(y \ 1,y) * z) = K(x,z). K(x,R(y,z,y)) = K(x,y). K(x,L(y,z,y)) = K(x,y). K(x,y * a(z,u,z)) = K(x,y). K(x,(y \ z) \ z) = K(x,T(y,z)). K(x,L(R(y,z,y),u,w)) = K(x,L(y,u,w)). K(x,T(y / z,y)) = K(x,z \ y). x / y != K(z,u) | K(z,T(u,K(w,v5))) * y = x. K(x,T(y,K(z,u))) * w = w * K(x,y). K(x,T(y,K(z,u)) \ w) = K(x,y \ w). K(x,T(y * z,y)) = K(x,z * y). K(x,(y \ 1) * (y * z)) = K(x,L(z,y,y \ 1)). K(x,T(y,z)) = K(x,(z \ y) * z). K(x,(y \ z) * y) = K(x,T(z,y)). K(x,L(y,z,y) \ u) = K(x,y \ u). K(x,R(y,z,y) \ u) = K(x,y \ u). K(x,(a(y,z,y) * u) \ w) = K(x,u \ w). K(x,y \ z) = K(x,y \ (a(u,w,u) * z)). K(x,y \ (a(z,u,z) * w)) = K(x,y \ w). K(x,L(T(y,y \ z),u,w)) = K(x,L(T(y,z),u,w)). K(x,T(y * z,y) \ u) = K(x,(z * y) \ u). K(x,y \ T(z * u,z)) = K(x,y \ (u * z)). K(x,T(y,z) \ u) = K(x,((z \ y) * z) \ u). K(x,((y \ z) * y) \ u) = K(x,T(z,y) \ u). K(x,T(L(y,z,u),y \ w)) = K(x,L(T(y,w),z,u)). T(x,L(L(x,y,z) \ x,u,w)) = x. (x * y) * R((x * y) \ (x * z),u,w) != v5 | x * (y * R(y \ z,u,w)) = v5. (x * (y * z)) * R(((x * y) * L(z,y,x)) \ (x * y),u,w) = (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)). (x * y) * T((x * y) \ z,x) != u | ((x \ (z / y)) * x) * y = u. ((x \ ((x * y) / z)) * x) * z = x * (z * T(z \ y,x)). x * ((y \ (x \ (y * z))) * y) = y * (x * T(x \ z,y)). ((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 * T(x \ (y * z),y) = y * (x * T(x \ z,y)). x * (y * T(y \ z,x)) != y * u | T(y \ (x * z),x) = u. 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). T(x,y * z) = y * (z * T(z \ (y \ x),x)). x * (y * T(y \ (x \ z),z)) = T(z,x * y). T((x \ 1) * (y * x),z) = (x \ 1) * (T(y,z) * x). x * y != T(x * z,L(x,u,w)) | T(z,L(x,u,w)) = y. T(x * y,L(y \ 1,z,u)) = T(x,L(y \ 1,z,u)) * y. (x * y) * L((x * y) \ y,z,u) = (L(1 / x,z,u) * x) * y. x * y != z * T(z \ (x * u),x) | z * T(z \ u,x) = y. x * T(x \ y,z) = (z \ x) * T((z \ x) \ y,z). (x \ y) * T((x \ y) \ z,x) = y * T(y \ z,x). x * ((x \ y) * T((x \ y) \ 1,z)) = y * T(y \ x,z). x * K(y \ (y / (x \ z)),y) = z * T(z \ x,y). x * T(x \ y,z) = y * K(z \ (z / (y \ x)),z). x \ (y * T(y \ x,z)) = K(z \ (z / (x \ y)),z). K(x \ (x / (y \ z)),x) = y \ (z * T(z \ y,x)). x * 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). T(x,T(y * z,u)) = T(x,y * T(z,w)). T(x,T(y * z,y)) != u | T(x,T(z * y,w)) = u. T(x,T(y * z,u)) = T(x,z * T(y,w)). x != T(y / z,u) * z | z * T(z \ y,u) = x. x * T(x \ (y * z),u) = (T(y / (x / z),u) * (x / z)) * z. (T(x / (y / z),u) * (y / z)) * z = y * T(y \ (x * z),u). (T(1 / (x / y),z) * (x / y)) * y = T(y / x,z) * x. x * T(x \ y,z) = (T(1 / (x / y),z) * (x / y)) * y. (T(1 / (x / y),z) * (x / y)) * y = x * T(x \ y,z). ((x / y) * T((x / y) \ 1,z)) * y = x * T(x \ y,z). K(x \ (x / (y / z)),x) * z = y * T(y \ z,x). (x * T(x \ y,z)) / y = K(z \ (z / (x / y)),z). K(x \ (x / (y / z)),x) = (y * T(y \ z,x)) / z. K(x \ (x / R(y,z,u)),x) = (((y * z) * u) * T(((y * z) * u) \ (z * u),x)) / (z * u). x * (((y * x) / y) * z) = ((y * x) / y) * (x * z). ((x * y) / x) * (y * z) = y * (((x * y) / x) * z). x \ ((y * x) / y) = ((y * x) / y) * (x \ 1). ((x * y) / x) * (y \ 1) = y \ ((x * y) / x). x * ((y / (y / x)) * z) = (y / (y / x)) * (x * z). (x / (x / y)) * (y * z) = y * ((x / (x / y)) * z). (x / (x / y)) \ (y * z) = y * ((x / (x / y)) \ z). x * (y \ ((x \ y) * x)) = ((x \ y) * x) * (y \ x). ((x \ y) * x) * (y \ x) = x * (y \ ((x \ y) * x)). ((x \ y) * x) * (y \ x) = x * K(x \ y,x). (x * y) * ((y * x) \ y) = y * K(y \ (y * x),y). (x * y) * ((y * x) \ y) = y * K(x,y). x * y != (z * u) * ((u * z) \ u) | x \ (u * K(z,u)) = y. (x * y) \ (y * K(x,y)) = L(x \ 1,x,y). ((x \ y) * x) \ z != L((x \ y) \ 1,x \ y,x) | y / (y / x) = z. x / (x / y) = y * K(y \ x,y). (x * y) \ z != L(x \ 1,x,y) | x * (y / x) = z. x * (y / x) = y * K(x,y). x * K(y,x) = y * (x / y). (x * y) \ z != L(x \ 1,x,y) | (x * y) / x = z. (x * y) / x = y * K(x,y). x != y * (z / y) | T(z,y \ z) = x. T(x,y \ x) = x * K(y,x). x != y * (T(z,y) / y) | z = x. x = T(x,y) * K(y,T(x,y)). T(x,y) * K(y,T(x,y)) = x. x / y != z * (u / z) | (u * K(z,u)) * y = x. (x * K(y,x)) * y = y * x. x * y != z * (u / z) | x \ ((z * u) / z) = y. x \ ((y * x) / y) = K(y,x). K(x,y) = y \ ((x * y) / x). T(x * K(y,x),y) = x. x / y = (y \ x) * K(y,y \ x). (x \ y) * K(x,x \ y) = y / x. T(x,y / z) != z | y / (y / z) = x. x / (x / y) = y * K(x / y,y). x * y != T(x * K(z,x),z) | 1 = y. 1 = K(K(x,y) * K(z,u),w). K(K(x,y) * K(z,u),w) = 1. T(x,y) = T(T(x * K(z,x),y),z). T(T(x * K(y,x),z),y) = T(x,z). T(K(x,y) * y,x) = y. x * R(y,z,u) = R(y * K(x,y),z,u) * x. R(x * K(y,x),z,u) * y = y * R(x,z,u). (x * y) * R(z,x,y) = ((z * K(x * y,z)) * x) * y. ((x * K(y * z,x)) * y) * z = (y * z) * R(x,y,z). T(x,L(y,z,u)) = T(x,L(y * K(w,y),z,u)). T(x,L(y * K(z,y),u,w)) = T(x,L(y,u,w)). (x * y) / x = K(x,y) * y. x / y = K(y,y \ x) * (y \ x). K(x,x \ y) * (x \ y) = y / x. x \ y != z * K(u,z) | x * ((u * z) / u) = y. x * ((y * z) / y) = x * (z * K(y,z)). x \ y != (z * u) / z | x * (u * K(z,u)) = y. x * (y * K(x,y)) = T(x,y) * y. ((x / y) * (y * K(z,x))) \ ((z * x) / z) = a(x / y,y,K(z,x)). T(x,y \ x) != x * z | K(y,x) = z. x / y != (z * K(u,z)) * u | (u * z) * y = x. ((x * y) * z) * a(z * K(x * y,z),x,y) = ((z * K(x * y,z)) * x) * y. x != y \ ((z * y) / z) | ((z * y) / z) * (y \ 1) = x. ((x * y) / x) * (y \ 1) = K(x,y). K(x,y) = ((x * y) / x) * (y \ 1). K(x,x \ y) = (x \ y) \ (y / x). (x \ y) \ (y / x) = K(x,x \ y). (x * y) / ((x * y) / x) = x * K(y,x). x * y != z / (z / x) | K(x \ z,x) = y. K(x \ y,x) = K(y / x,x). K(x / y,y) = K(y \ x,y). K(x / y,y) != z | (y * (x / y)) \ x = z. (x * (y / x)) \ y = K(x \ y,x). K(x,x \ y) = K((x \ y) \ y,x \ y). K((x \ y) \ y,x \ y) = K(x,x \ y). T(x,y * z) != T(y,z) | R(y,u,y) = x. R(x,y,x) = T(x * K(x * z,x),z). T(x * K(x * y,x),y) = R(x,z,x). x * ((y \ 1) \ 1) != K(z,u) | y \ K(z,u) = x. x \ K(y,x \ 1) = (y * (x \ 1)) / y. K(x,y) = (y * K(x,y)) * (y \ 1). (x * K(y,x)) * (x \ 1) = K(y,x). (x \ y) * K(x,x \ y) != z | z = y / x. (x \ y) * K(x,x \ y) != z | y / x = z. x \ y != K(z,u) | K(z,u) * x = y. K(x \ y,x) * (x * (y / x)) = y. K(x,y) / (y \ 1) = y * K(x,y). K(x,y) / (z \ 1) != u | (1 / z) \ K(x,y) = u. (1 / x) \ K(y,x) = x * K(y,x). K(x,y) \ (K(x,y) / y) = 1 / y. (1 / x) * ((y * x) / y) = K(y,x). K(x,y) = (1 / y) * ((x * y) / x). K(x,y) \ z != u | u * K(x,y) = z. (1 / x) * K(y,x) = K(y,x) / x. x * ((y * (x \ 1)) / y) = K(y,x \ 1). x / y != (1 / y) * K(z,u) | L(K(z,u),y \ 1,y) = x. 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). x \ y != T(z * K(z * u,z),u) | x * R(z,w,z) = y. x * R(y,z,y) = (y * K(y * x,y)) * x. (x * K(x * y,x)) * y = y * R(x,z,x). K(x \ y,x) != z | y \ T(y,x) = z. x \ T(x,y \ x) = K(y,y \ x). K(x,x \ y) = y \ T(y,x \ y). K(x,x \ y) = y \ (x * (y / x)). x \ (y * (x / y)) = K(y,y \ x). x \ (y * (x / y)) != z | K(y,x / y) = z. 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,T(y,x)) = K(x,y). K(x,T(y,T(x,z))) = K(x,y). K(x,T(y,z)) != u | K(x,(y \ z) \ z) = u. K(x,(y \ x) \ x) = K(x,y). K(x,T(y * z,y)) != u | K(x,z * y) = u. K(x,y * x) = K(x,x * y). K(x,T(y / z,y)) != u | K(x,z \ y) = u. K(x,y \ x) = K(x,x / y). K(x,x / y) = K(x,y \ x). T(x,y) * K(y,x) = x. K(x,y) \ y = T(y,x). T(x,y) = K(y,x) \ x. K(x,y) * T(y,x) = y. T(x,y) \ x = K(y,x). K(x,y) = T(y,x) \ y. x * y != T(z,u) * K(u,z) | z / y = x. x / T(x,y) = K(y,x). K(x,y) = y / T(y,x). L(K(x,y),T(y,x),z) = (z * T(y,x)) \ (z * y). x != T(x,y) * z | K(y,x) = z. T(x,y) * z != x | K(y,x) = z. T(x,y) \ x != z | z = K(y,x). T(x,y) \ x != z | K(y,x) = z. L(x,T(y,z),K(z,y)) * y = K(z,y) * (x * T(y,z)). x \ y != T(z,u * K(w,v5)) | y / T(z,u) = x. x / T(x,y) = K(y * K(z,u),x). K(x * K(y,z),u) = u / T(u,x). x \ y != T(z,K(u,w) * v5) | y / T(z,v5) = x. x / T(x,y) = K(K(z,u) * y,x). K(K(x,y) * z,u) = u / T(u,z). x / T(x,y) != z | z = K(y,x). x / T(x,y) != z | K(y,x) = z. x * y != K(z,u) * T(u,z) | x \ u = y. T(x,T(y,z)) \ x = K(y,x). x != T(y \ 1,z) \ (y \ 1) | (y * T(y \ 1,z)) \ 1 = x. (x * T(x \ 1,y)) \ 1 = K(y,x \ 1). x != T(y,z) \ y | K(z,z \ y) = x. K(x,x \ y) = K(x,y). x * y != T(z,u) \ z | K(u,z) / y = x. K(x,y) / y = 1 / T(y,x). x * y != T(z,u) \ z | x \ K(u,z) = y. x \ K(y,x) = T(x,y) \ 1. T(x,y) \ 1 = x \ K(y,x). K(x,R(y,z,u)) = R(T(y,x),z,u) \ R(y,z,u). R(T(x,y),z,u) \ R(x,z,u) = K(y,R(x,z,u)). (x * y) / ((x * y) / x) = x * (T(x,y) \ x). K(x,y) != y / z | T(y,x) = z. K(x,x \ (y * x)) != z | K(x,y) = z. K(x,y) = K(x,y * x). K(x,y * x) = K(x,y). x \ y != K(z,z \ u) | x * K(z,u) = y. a(x,y,x) * K(z,u) = K(z,z \ u). K(x,x \ y) = a(z,u,z) * K(x,y). K(x,y) = K(x,x * y). K(x,x * y) = K(x,y). K(x,y) * (x \ y) = y / x. x \ y != K(z,u) | x * K(z,T(u,T(z,w))) = y. x * K(y,T(z,T(y,u))) = K(y,z) * x. K(T(x,y),z) = K(x,z). T(K(x,y),z) = K(T(x,u),y). x != K(y,T(z,y)) | K(y,z) = x. K(x,y) = K(T(x,z),T(y,x)). K(T(x,y),T(z,x)) = K(x,z). x \ y != K(z,u) | x * K(T(z,w),u) = y. x * K(T(y,z),u) = K(y,u) * x. K(T(x * y,x),z) != u | K(y * x,z) = u. K(x * y,z) = K(y * x,z). K(T(x / y,x),z) != u | K(y \ x,z) = u. K(x \ y,z) = K(y / x,z). K(x / y,z) = K(y \ x,z). K(R(T(x,y),z,u),w) = K(R(x,z,u),w). K((x \ y) * x,z) = K(y,z). K(x,y) = K(z * (x / z),y). K(x * (y / x),z) = K(y,z). (K(x,y) / y) \ 1 = T(y,x). T(x,y) = (K(y,x) / x) \ 1. (K(x,y) / y) \ 1 != z | z = T(y,x). (K(x,y) / y) \ 1 != z | T(y,x) = z. x != y \ K(z,y) | (y \ 1) * K(z,y) = x. (x \ 1) * K(y,x) = T(x,y) \ 1. (x \ 1) * (y \ K(z,y)) = (T(y,z) * x) \ 1. (x \ (y \ K(z,y))) \ 1 = T(y,z) / (x \ 1). K(T(x,y),z) != u | u = K(x,z). K(T(x,y),z) != u | K(x,z) = u. x != K(y,z) | K(T(y,u),z) = x. K(T(x \ y,z),u) = K(y / x,u). x / y != K(z \ u,w) | K(u / z,w) * y = x. K(x / y,z) * u = u * K(y \ x,z). x \ y != (K(z,u) / u) \ 1 | x * T(u,z) = y. x * T(x \ 1,y) = K(y,x \ 1) \ 1. K(x,y \ 1) \ 1 = y * T(y \ 1,x). K(x,x \ y) != z | K(x,y) = z. K(x,y) != z | K(T(x,u),y) = z. K(x \ (y * x),z) != u | K(y,z) = u. K(x \ y,z) != u | K(y / x,z) = u. K((x \ y) \ y,z) != u | K(x,z) = u. K(L(x,y,x),z) != u | K(x,z) = u. K(x * y,z) != u | K(y * x,z) = u. K((x \ y) * x,z) != u | K(y,z) = u. K(x,y) != z | K(x,x * y) = z. K(x * y,L(y \ z,y,x)) != u | K(x * y,x * z) = u. x != y / T(y,z) | K(z,y) = x. K(x,y) = K(x * K(z,u),y). K(x * K(y,z),u) = K(x,u). K(x * K(y,z),u) != w | K(x,u) = w. T(K(x,y),z) = K(x * K(u,w),y). K(x,y) = K(K(z,u) \ x,y). K(K(x,y) \ z,u) = K(z,u). x / y != K(z * K(u,w),v5) | K(z,v5) * y = x. K(x,y) * (y * (x * K(z,u))) = (x * K(z,u)) * y. K(x * T(y,z),u) = K(x * y,u). K(K(x,y) * z,u) != w | K(z,u) = w. x * y != (z \ 1) * K(u,z) | (T(z,u) \ 1) / y = x. (T(1 / x,y) \ 1) / K(y,1 / x) = x. T(x,T(y,z) \ 1) = T(x,y \ 1). K(x / y,z) != u | K(y \ x,z) = u. T(K(x \ 1,y),z) = K(T(x,u) \ 1,y). x != K(y * z,u) | K(z * y,u) = x. K(x * y,z) = K(y * T(x,u),z). K(x * T(y,z),u) = K(y * x,u). K(x * (y \ z),u) = K(x * (z / y),u). K(x * (y / z),u) = K(x * (z \ y),u). K(T(x,y) * z,u) = K(x * z,u). K(x * T(y,z),u) != w | K(x * y,u) = w. K(x,(y \ 1) \ 1) != z | K(x,y) = z. x / y != (z * (u \ 1)) / z | (u \ K(z,u \ 1)) * y = x. (x \ K(y,x \ 1)) * y = y * (x \ 1). (T(1 / x,y) \ 1) / K(y,x \ 1) = x. T(K(x,y),z) = K(T(1 / x,u) \ 1,y). T(K(x,y),z) = K(T(x \ 1,u) \ 1,y). x * K(y,x \ 1) = T(1 / x,y) \ 1. T(1 / x,y) \ 1 = x * K(y,x \ 1). K(x * (y \ z),u) != w | K(x * (z / y),u) = w. x * y != y * R(z,u,z) | z * K(z * y,z) = x. x * K(x * y,x) = R(x * K(y,x),z,x). R(x * K(y,x),z,x) = x * K(x * y,x). x * y != y * z | z * K(y,z) = x. R(x,y,z) * K(u,R(x,y,z)) = R(x * K(u,x),y,z). x * y != R(x * z,u \ R(u,w,u),v5) | z = y. K(x,y) = K(y * x,y). K(x * y,x) = K(y,x). K(x,y \ x) = K(y,y \ x). K(x * y,y) = K(x,y). K(x * (y / x),z) != u | K(y,z) = u. K(x,y) = K(x / y,y). K(x / y,y) = K(x,y). K(x,y) = K(y \ x,y). K(x \ y,x) = K(y,x). x != y | a(z,u,z) \ y = x. a(x,y,x) \ K(z,u) = K(u \ z,u). K(x \ y,x) = a(z,u,z) \ K(y,x). x \ T(x,y) = K(x,y). K(x,y) = x \ T(x,y). x \ y != K(z \ u,z) | x * K(u,z) = y. x * K(x,y) = T(x,y). T(x,y) = x * K(x,y). T(x,y) = K(x,y) * x. x * K(x,y) != z | T(x,y) = z. K(x,y) * x != z | T(x,y) = z. K(T(x,y),z) = x \ T(x,z). x != y \ T(y,z) | (1 / y) * T(y,z) = x. (1 / x) * T(x,y) = K(x,y). K(x,y) = (1 / x) * T(x,y). x != (y \ 1) \ T(y \ 1,z) | K(z \ (z / y),z) = x. K(x \ (x / y),x) = K(y \ 1,x). x != y \ T(y,z) | T(y,z) * (y \ 1) = x. T(x,y) * (x \ 1) = K(x,y). K(x,y) = T(x,y) * (x \ 1). x != (y \ 1) \ T(y \ 1,z) | y * T(y \ 1,z) = x. x * T(x \ 1,y) = K(x \ 1,y). x * y != z \ T(z,u) | x \ K(z,u) = y. (1 / x) \ K(x,y) = T(x,y). T(x,y) = (1 / x) \ K(x,y). K(x,y) != z | T(y,x) \ y = z. T(x,y) \ x = y \ T(y,x). x \ y != K(T(z,u) * w,v5) | x * K(z * w,v5) = y. (T(x,y) * z) * K(x * z,u) = T(T(x,y) * z,u). x \ y != K(K(z,u) \ w,v5) | x * K(w,v5) = y. (K(x,y) \ z) * K(z,u) = T(K(x,y) \ z,u). x \ y != K(z,u) | x * (z \ T(z,u)) = y. T(x,y) * (y \ T(y,x)) = x. K(x,y) != x \ z | T(x,y) = z. K(x,y * K(z,u)) = x \ T(x,y). K(x,y) = K(y,x \ y). K(x,y \ x) = K(y,x). x != y * K(T(z,u),w) | K(z,w) * y = x. K(x,y) * T(x,z) = T(T(x,z),y). x \ y != z * K(z,u) | y / T(z,u) = x. ((x * y) * K(y,z)) / T(y,z) = R(x,y,K(y,z)). T(x,y) != x * z | K(x,y) = z. x \ T(x,y) != z | z = K(x,y). x \ T(x,y) != z | K(x,y) = z. T(x,y) != z * x | K(x,y) = z. (x * y) * z != x * T(y,u) | L(K(y,u),y,x) = z. (x * K(y,z)) \ (x * T(y,z)) = L(y,K(y,z),x). T(x,y) * L(z,x,K(x,y)) = K(x,y) * (x * z). L(x,x \ y,K(y,z)) \ T(y,z) = (x \ y) * K(y,z). T(x,T(y,z)) = K(x,y) * x. x \ y = K(y / x,x) * (y / x). K(x / y,y) * (x / y) = y \ x. T(L(x,y,z),u) != w | L(T(x,u),y,z) = w. L(T(x,y),z,u) = K(L(x,z,u),y) * L(x,z,u). K(L(x,y,z),u) * L(x,y,z) = L(T(x,u),y,z). R(T(x,y),z,u) / R(x,z,u) = K(R(x,z,u),y). (x * K(y,z)) * y != u * T(y,z) | R(x,K(y,z),y) = u. T(x,y) * a(K(x,y),z,z \ x) = (K(x,y) * z) * (z \ x). T(x * y,z) * a(K(x * y,z),y,T(x,y)) = (K(x * y,z) * y) * T(x,y). K(x,(y \ x) \ x) != z | K(x,y) = z. K(x,y) = K(y \ x,x). K(x \ y,y) = K(y,x). K(x,y) = (x \ 1) * T(x,y). K(x,y) = (x * K(x,y)) * (x \ 1). (x * K(x,y)) * (x \ 1) = K(x,y). T(x,y) = (x \ 1) \ K(x,y). K(x \ (x / y),x) = T(x,y \ 1) \ x. x != x | K(y,x) = y \ T(y,x). x != x | y \ T(y,x) = K(y,x). T(x,T(y * z,u)) != w | T(x,z * T(y,v5)) = w. T(x,y * T(z,u)) = K(x,z * y) * x. x * y != T(y,z) | K(y,z) = x. K(x,T(y,z)) = K(x,y). K(x \ y,T(z,u)) = K(y / x,z). K(T(x,y),T(z,u)) = K(x,z). K(x,T(y,z)) = K(T(x,u),y). K(T(x,y),z) = K(x,T(z,u)). T(K(x,T(y,z)),u) = K(x,y). x != K(y,z) | (K(y,z) \ u) \ u = x. (K(x,y) \ z) \ z = K(x,T(y,u)). K(x,T(y,z)) = (K(x,y) \ u) \ u. x != K(y,z) | (u * K(y,z)) / u = x. (x * K(y,z)) / x = K(y,T(z,u)). K(x,T(y,z)) = (u * K(x,y)) / u. T(K(x,y),z) = K(x,T(y,u)). x != K(y,T(z,u)) | K(y,z) = x. K(x,y) = K(x,T(T(y,z),u)). K(x,T(T(y,z),u)) = K(x,y). x \ y != K(z,u) | x * K(z,T(u,w)) = y. x * K(y,T(z,u)) = K(y,z) * x. x * K(T(x,y),T(z,u)) = T(x,z). x / y != K(z,u) | K(z,T(u,w)) * y = x. K(x,T(y,z)) * u = u * K(x,y). K(x,T(y,z)) != u | K(x,(z \ y) * z) = u. K(x,(y \ z) * y) = K(x,z). K(x,T(L(y,z,u),y \ w)) != v5 | K(x,L(T(y,w),z,u)) = v5. K(x,L(T(y,z),u,w)) = K(x,L(y,u,w)). K(x,y * z) = K(x,z * y). K(x,y \ z) = K(x,z / y). K(x,y / z) = K(x,z \ y). K(x,T(y,z)) * u != w | u * K(x,y) = w. K(T(x,y),T(z,u)) != w | K(x,z) = w. (x \ 1) * T(x,y) != z | z = K(x,y). (x \ 1) * T(x,y) != z | K(x,y) = z. K(x,y) * ((z * T(x,y)) \ K(x,y)) != u | (x \ 1) * (z \ K(x,y)) = u. K(T(x,y),z \ u) = K(x,u / z). K(L(T(x,y),z,u),w) = K(L(x,z,u),T(w,v5)). K(x,T(y,z)) != u | K(x,y) = u. (x * y) * R(K(z,u),x,y) = (K(z,T(u,w)) * x) * y. (K(x,T(y,z)) * u) * w = (u * w) * R(K(x,y),u,w). x != K(y,T(z / u,z)) | K(y,u \ z) = x. K(x,y \ z) = T(K(x,z / y),u). T(K(x,y / z),u) = K(x,z \ y). K(x,T(y \ z,u)) = K(x,z / y). x / y != K(z,u \ w) | K(z,w / u) * y = x. K(x,y / z) * u = u * K(x,z \ y). K(x,((y * z) * u) / (y * (z * u))) = K(x,a(y,z,u)). K(x,y / z) * u != w | u * K(x,z \ y) = w. K(x,y \ (z * y)) != u | K(x,z) = u. K(x,R(T(y,z),u,w)) != v5 | K(x,R(y,u,w)) = v5. K(x,y \ z) != u | K(x,z / y) = u. K(x,(y \ z) \ z) != u | K(x,y) = u. K(x,y * z) != u | K(x,z * y) = u. K(x,(y \ z) * y) != u | K(x,z) = u. K(x,y \ ((y / z) * (u * z))) != w | K(x,L(u,z,y / z)) = w. K(x,T(T(y,z),u)) != w | K(x,y) = w. K(x \ (x / (y / z)),x) != u | (y * T(y \ z,x)) / z = u. (x * T(x \ y,z)) / y = K((x / y) \ 1,z). K(x \ (x / (y \ z)),x) != u | y \ (z * T(z \ y,x)) = u. x \ (y * T(y \ x,z)) = K((x \ y) \ 1,z). x \ y != K(z \ (z / u),z) | x * K(u \ 1,z) = y. x * K((x \ y) \ 1,z) = y * T(y \ x,z). x * T(x \ y,z) = y * K((y \ x) \ 1,z). x / y != K(z \ (z / u),z) | K(u \ 1,z) * y = x. K((x / y) \ 1,z) * y = x * T(x \ y,z). (x * y) * K(((x * y) \ x) \ 1,z) = x * T(y,z). x * T(x \ 1,y) != z | K(y,x \ 1) \ 1 = z. K(x,y \ 1) \ 1 = K(y \ 1,x). (x * y) * T((x * y) \ z,u) != w | x * (y * T(y \ (x \ z),u)) = w. x * (y * T(y \ (x \ 1),z)) = K((x * y) \ 1,z). x / y != z * T(z \ 1,u) | K(z \ 1,u) * y = x. K(x \ 1,y) * (x \ z) = z * T(z \ (x \ z),y). (x * y) * T((x * y) \ x,z) = x * K(y \ 1,z). K(x \ 1,y) \ 1 = K(y,x \ 1). x != y \ T(y,z) | K(y,z) = x. K(x,y) = K(x,y * K(z,u)). K(x,y * K(z,u)) = K(x,y). K(x,y * K(z,u)) != w | K(x,y) = w. T(K(x,y),z) = K(x,y * K(u,w)). K(x,K(y,z) * u) = K(x,u). K(x,y) = K(x,K(z,u) \ y). K(x,K(y,z) \ u) = K(x,u). K(x,y) = K(x,y / K(z,u)). K(x,y / K(z,u)) = K(x,y). x / y != K(z,K(u,w) * v5) | K(z,v5) * y = x. K(x,y) * T(K(z,u) * y,x) = K(z,u) * y. x != T(T(y,z),u) | T(T(y,u),z) = x. T(T(x,y),z) = K(x,y) * T(x,z). K(x,y) * T(x,z) = T(T(x,y),z). K(x / y,z) * u != w | u * K(y \ x,z) = w. (x / y) * K(y \ x,y) = y \ x. x * y != K(z / u,u) * (z / u) | x \ (u \ z) = y. (x / y) \ (y \ x) = K(y \ x,y). (x * y) * z != y | y \ (x \ y) = z. K(x,y) \ (x \ K(x,y)) = x \ 1. K(a(x,y,z),T(u,w)) = K(((x * y) * z) / (x * (y * z)),u). x / y != z * K(u,w) | (K(u,T(w,v5)) * z) * y = x. (K(x,T(y,z)) * u) * (w * K(v5,v6)) = (u * K(x,y)) * (K(v5,v6) * w). K(x,y / z) != u | K(x,z \ y) = u. T(K(x,y),z) = K(x,K(u,w) \ y). x \ y != K(T(z \ 1,u) \ 1,w) | y / T(K(z,w),v5) = x. 1 / T(K(x,y),z) = K(y,T(x \ 1,u) \ 1). K(x,T(y \ 1,z) \ 1) = 1 / T(K(y,x),u). T(K(x,y),z) = K(x,T(1 / y,u) \ 1). T(x,y) * K(x,z) = T(T(x,z),y). (x / y) * K(x,y) = y \ x. x != y \ z | T(z,y) / y = x. T(x,y) / y = (x / y) * K(x,y). (x / y) * K(x,y) = T(x,y) / y. x * y != (z / u) \ (u \ z) | x \ K(u \ z,u) = y. (x \ y) \ K(x \ y,x) = (y / x) \ 1. (x \ 1) * K(x,y) = x \ K(x,y). T(K(x,y),z) != u | K(x,y * K(w,v5)) = u. K(x,y * K(z,u)) = K(x,K(w,v5) \ y). K(x,K(y,z) \ u) = K(x,u * K(w,v5)). x != T(T(y,z),u) | K(y,u) * T(y,z) = x. K(x,y) * T(x,z) = T(x,y) * K(x,z). K(x,y) * (x / y) = T(x,y) / y. x != T(y,z) / z | y / T(z,y) = x. x / T(y,x) = K(x,y) * (x / y). K(x,y) * (x / y) = x / T(y,x). x / y != K(z,u) * (z / u) | (z / T(u,z)) * y = x. (x / T(y,x)) * L(z,x / y,K(x,y)) = K(x,y) * ((x / y) * z). K(L(T(x,y),z,u),T(w,v5)) != v6 | K(L(x,z,u),w) = v6. K(x,y * x) != z | K(x,y) = z. K(x,x * y) != z | K(x,y) = z. K(x,y) != z | K(x,x \ y) = z. K(x,y) != z | K(x,y * K(u,w)) = z. K(x,y \ ((z \ 1) \ 1)) != u | K(x,y \ z) = u. K(x,y * K(z,u)) != w | K(x,y * K(v5,v6)) = w. x \ y != K(z,y) | T(y,z) = x. T(x,x \ (x / y)) = T(x,y \ 1). T(x,x / y) = T(x,y \ 1). T(x,y \ 1) = T(x,x / y). T(x,x / (y * x)) = T(x,y \ 1). x != T(y,z / u) | T(y,u \ z) = x. T(x,y \ x) = T(x,y \ 1). T(x,y \ 1) = T(x,y \ x). x != T(y,y / (y / z)) | T(y,z) = x. T(x,y) = T(x,(x / y) \ 1). T(x,(x / y) \ 1) = T(x,y). x != T(y,y / z) | z * (y / z) = x. x * (y / x) = T(y,x \ 1). T(x,y \ 1) = y * (x / y). x * y != T(z,z / u) | x \ T(z,u \ 1) = y. x \ T(y,x \ 1) = y / x. T(x,y) = T(x,(y \ 1) \ x). T(x,(y \ 1) \ x) = T(x,y). T(x,x * (y \ 1)) = T(x,y \ x). T(x,x \ (y \ x)) = T(x,y \ 1). x != T(y,z \ y) | y * K(z,y) = x. x * K(y,x) = T(x,y \ 1). T(x,y \ 1) = x * K(y,x). x \ y != T(z,u \ 1) | x * T(z,u \ z) = y. (x \ 1) * T(y,x \ y) = y * (x \ 1). x * y != T(z,(z / u) \ 1) | T(z,u) / y = x. T(x,y) / ((x / y) \ 1) = ((x / y) \ 1) \ x. x * y = T(y * x,x \ 1). T(x * y,y \ 1) = y * x. x != y * (z / y) | (y * z) / y = x. (x * y) / x = T(y,x \ 1). T(x,y \ 1) = (y * x) / y. x != y * (T(z * y,u) / y) | T(y * z,u) = x. T(x * y,z) = T(T(y * x,z),x \ 1). T(T(x * y,z),y \ 1) = T(y * x,z). x = T(T(x,y),y \ 1). T(T(x,y),y \ 1) = x. x / y != z * (u / z) | T(u,z \ 1) * y = x. T(x,y \ 1) * y = y * x. T(x,y) != z * (T(u * y,z) / z) | y * u = x. (x \ 1) * y = T(y * (x \ 1),x). T(x * (y \ 1),y) = (y \ 1) * x. x \ y != T(z,u \ 1) | x * (u * (z / u)) = y. (x \ 1) * (x * (y / x)) = y * (x \ 1). x * y != T(z,(u \ 1) \ 1) | x \ T(z,u) = y. (x \ 1) \ T(y,x) = y / (x \ 1). x * y != T(T(T(z,u),w),v5) | x \ T(T(T(z,v5),u),w) = y. x \ T(T(T(y,x \ 1),z),u) = T(T(y,z),u) / x. x \ ((x \ 1) \ y) = (y / (x \ 1)) / x. (x / (y \ 1)) / y = y \ ((y \ 1) \ x). x \ T(y,x \ 1) != z | z = y / x. x \ T(y,x \ 1) != z | y / x = z. T(x * (y / x),(x \ 1) \ y) = y. T(x,y \ 1) \ y = y / x. (x \ y) \ 1 = T((y / x) \ 1,x). T((x / y) \ 1,y) = (y \ x) \ 1. T(x,T(y,z) \ 1) != T(u,y \ 1) | u = x. x = T(T(x,y \ 1),T(y,z)). T(T(x,y \ 1),T(y,z)) = x. x \ y != T(T(z,u),u \ 1) | x * z = y. (x \ 1) * y = T(y,x) * (x \ 1). T(x,y) * (y \ 1) = (y \ 1) * x. T(x \ y,x \ 1) = y / x. T(x \ y,y \ 1) = y / x. x * T(y,z) = T(T(y,x \ 1),z) * x. T(T(x,y \ 1),z) * y = y * T(x,z). x * R(y,z,u) = R(T(y,x \ 1),z,u) * x. R(T(x,y \ 1),z,u) * y = y * R(x,z,u). x * (y / x) != z | z = T(y,x \ 1). x * (y / x) != z | T(y,x \ 1) = z. T(x,y) \ 1 = T(x \ 1,y). T(x \ 1,y) = T(x,y) \ 1. K(x,y \ 1) = K(y,x). T(x \ y,x \ 1) != z | y / x = z. K(x,y) = K(y \ 1,x). K(x \ 1,y) = K(y,x). x != K(y,z) | K(z,y \ z) = x. K(x,y \ x) = K(x,y \ 1). K(x,y \ 1) = K(x,y \ x). K(x,y) != z | (x \ 1) * T(x,y) = z. (x \ 1) * T(x,y \ 1) = K(y,x). K(x,y) = (y \ 1) * T(y,x \ 1). K(x \ 1,y) != z | K(y,x) = z. (x \ K(x,y)) * y = y * (x \ 1). x * y != K(z \ 1,u) | x \ K(u,z) = y. x \ K(y,x) = T(x \ 1,y). T(x \ 1,y) = x \ K(y,x). K(x,y \ 1) != z | K(y,x) = z. x != L(y,z,u) * T(w,y) | T(L(y,z,u) * w,y) = x. T(L(x,y,z) * u,x) = T(T(u,x) * L(x,y,z),L(x,y,z) \ 1). T(T(x,y) * L(y,z,u),L(y,z,u) \ 1) = T(L(y,z,u) * x,y). x \ y != T(z * u,u \ 1) | x * (u * z) = y. (x \ 1) * (x * y) = (y * x) * (x \ 1). x * y != T(z * u,u \ 1) | (u * z) / y = x. (x * y) / (x \ 1) = (x \ 1) \ (y * x). (x * y) / (x \ 1) != z | (x \ 1) \ (y * x) = z. x * ((x \ 1) * y) = (y * (x \ 1)) * x. (x * (y \ 1)) * y = y * ((y \ 1) * x). x / y != T(z / u,z) | (u \ z) * y = x. (x \ (y \ 1)) * y = y * ((y \ 1) / x). x / y != T(z / u,u) | (u \ z) * y = x. ((x \ 1) \ y) * x = x * (y / (x \ 1)). T(T(x,y),y \ 1) != z | x = z. L(T(x,(y * z) \ 1),z,y) = (y * (z * x)) / (y * z). (T(x,(y * z) \ 1) * y) * z = (y * z) * R(x,y,z). (x * y) / x != z | z = T(y,x \ 1). (x * y) / x != z | T(y,x \ 1) = z. T(T(T(x,y \ 1),z),u) \ y = y / T(T(x,z),u). (x / y) * R(T(T(y,x \ 1),x),z,u) = R(T(y,x \ 1),z,u) * (T(y,x \ 1) \ x). R(T(x,y \ 1),z,u) * (T(x,y \ 1) \ y) = (y / x) * R(T(T(x,y \ 1),y),z,u). x != T(y,T(z,u)) | T(x,z \ 1) = y. T(x,T(y,z)) != u | T(u,y \ 1) = x. x != ((y * z) * T(u,z)) / (u * z) | R(y,z,T(u,z)) = x. R(x,y,T(z,y)) = T((z * y) \ ((x * y) * T(z,y)),(z * y) \ 1). T((x * y) \ ((z * y) * T(x,y)),(x * y) \ 1) = R(z,y,T(x,y)). x / y != T(z,u) \ 1 | T(z \ 1,u) * y = x. T(x \ 1,y) * R(T(x,y),z,u) = T(x,y) \ R(T(x,y),z,u). T(x \ 1,y) * (z \ 1) = (z * T(x,y)) \ 1. L(T(x \ 1,y),T(x,y),z) \ z = T(x,y) * z. (T(x,y) * (T(x \ 1,y) * z)) \ (1 * z) = a(T(x,y),T(x,y) \ 1,z). x \ y != T(z \ 1,u) | y / (z \ K(u,z)) = x. x / (y \ K(x,y)) = (y \ 1) \ x. T(x \ 1,y) != x \ z | K(y,x) = z. L(T(x \ 1,y),x,z) = (z * x) \ (z * K(y,x)). (x * y) \ (x * K(z,y)) = L(T(y \ 1,z),y,x). K(x,y) != z | K(y \ 1,x) = z. T(x * y,y \ 1) != z | y * x = z. T(x,x / (y * x)) != z | y * (x * ((y \ x) / x)) = z. 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,x * (1 / y)) = T(x,y \ x). T((x * (y \ 1)) \ y,y) = ((y \ 1) * x) \ y. (x \ 1) * L(y / (x \ 1),z,u) = x \ L(y * x,z,u). T(x,(y \ z) \ 1) != u | T(x,(z / y) \ 1) = u. K(x * (1 / y),x) = T(x,y \ x) \ x. x * y != z | T(y * x,x \ 1) = z. x / y != z | T(y \ x,y \ 1) = z. K(x,y * T(z,u)) = K(x,z * y). K(x,T(y,z) * u) = K(x,y * u). K(x,y * (z \ u)) = K(x,(u / z) * y). K(x,(y / z) * u) = K(x,u * (z \ y)). K(x,y * z) = K(x,T(z,u) * y). K(x,T(y,z) * u) = K(x,u * y). K(x,(y \ z) * u) = K(x,(z / y) * u). K(x,(y / z) * u) = K(x,(z \ y) * u). T(K(x,y),z) = K(x,T(y \ 1,u) \ 1). (x \ y) \ K(y,x) = (y / x) \ 1. x != K(y,z * u) | K(y,u * z) = x. K(x,K(y,z) * u) = K(x,K(w,v5) \ u). K(x,K(y,z) \ u) = K(x,K(w,v5) * u). K(x,K(y,z) \ u) != w | K(x,K(v5,v6) * u) = w. L(x / y,y,y \ 1) = x * (y \ 1). L(x,y,y \ 1) = (x * y) * (y \ 1). (x * y) * (y \ 1) = L(x,y,y \ 1). ((x * (y \ 1)) \ (x / y)) \ 1 = (x / y) \ L(x / y,y,y \ 1). (x / y) \ L(x / y,y,y \ 1) = ((x * (y \ 1)) \ (x / y)) \ 1. (x * (y \ 1)) * ((x / y) \ 1) = (x / y) \ L(x / y,y,y \ 1). (x / y) \ L(x / y,y,y \ 1) = (x * (y \ 1)) * ((x / y) \ 1). R(x,y,y \ 1) = L(x,y,y \ 1). x * (y \ 1) != L(z * (y \ 1),y,y \ 1) | L(z,y \ 1,y) = x. L(x,y \ 1,y) = (x * (y \ 1)) * y. (x * (y \ 1)) * y = L(x,y \ 1,y). L(x,y,y \ 1) \ 1 = y * ((x * y) \ 1). x \ L(x,y,y \ 1) = a(x,y,y \ 1). x \ L(x,y \ 1,y) = a(x,1 / y,y). (x * (y \ 1)) * y != z | y * ((y \ 1) * x) = z. x * (x / (x * T(y,z))) = x / T(T(y,x \ 1),z). x / T(T(y,x \ 1),z) = x * (x / (x * T(y,z))). (x * y) * (y \ 1) != z | L(x,y,y \ 1) = z. L(x,x \ 1,x * y) = (x * y) \ ((x \ 1) \ (y * x)). (x * y) \ ((x \ 1) \ (y * x)) = L(x,x \ 1,x * y). (x * (y \ 1)) * y != z | L(x,y \ 1,y) = z. x * ((x * y) * (y / (x * y))) = T(x * y,x \ 1). x * y != z * ((u \ z) / z) | x \ (u \ T(z,u \ 1)) = y. T(x,x \ (y \ x)) \ (y \ T(x,y \ 1)) = x \ (y \ x). x != T(y,z) \ y | K(z,y) = x. K(x \ y,y) = K(y * (1 / x),y). K(x * (1 / y),x) = K(y \ x,x). K(x * (y / z),u) != w | K(x * (z \ y),u) = w. K(x * (y \ 1),x) = K(y \ x,x). K(x,(y / z) * u) != w | K(x,(z \ y) * u) = w. K(x,(y / z) * u) != w | K(x,u * (z \ y)) = w. x \ L(x,y,y \ 1) != z | a(y \ 1,y,x) \ 1 = z. a(x \ 1,x,y) \ 1 = a(y,x,x \ 1). x \ L(x,y,z) != u | L(x,y,z) / x = u. L(x,y,y \ 1) / x = a(x,y,y \ 1). (x \ ((x \ 1) \ y)) \ (((x \ 1) * x) \ y) = a(x \ ((x \ 1) \ y),x,x \ 1). x != a(y,1 / z,z) | a(y,z \ 1,z) = x. a(x,y \ 1,y) = x \ L(x,y \ 1,y). x \ L(x,y \ 1,y) = a(x,y \ 1,y). a(x,y,y \ 1) != z | x \ L(x,y,y \ 1) = z. x \ L(x,y \ 1,y) != z | a(y,y \ 1,x) \ 1 = z. a(x,x \ 1,y) \ 1 = a(y,x \ 1,x). x \ y != L(z,u,u \ 1) \ 1 | x * (u * ((z * u) \ 1)) = y. x * (y * ((x * y) \ 1)) = a(y \ 1,y,x). (x * ((y * x) \ 1)) \ (z \ 1) = (z / L(y,x,x \ 1)) \ 1. (x * (T(x,y) \ x)) \ (x * z) = x * (((x * y) / ((x * y) / x)) \ z). x * (((x * y) / ((x * y) / x)) \ z) = (x * (T(x,y) \ x)) \ (x * z). ((R(x \ K(y,x),z,u) \ 1) * (x \ K(y,x))) \ 1 = T(x,y) / (R(x \ K(y,x),z,u) \ 1). (x * (y * T(y \ z,u))) / (x * z) = K(((x * y) / (x * z)) \ 1,u). x \ (y * (z * T(z \ (y \ x),u))) = K((x \ (y * z)) \ 1,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 \ (y / z)) * x) * z = y * K((y \ (x * z)) \ 1,x). (x \ 1) * T((x \ 1) \ (x \ y),z) != u | x \ T(y,z) = u. x \ T(y,z) = (x \ y) * K(((x \ y) \ (x \ 1)) \ 1,z). (x \ y) * K(((x \ y) \ (x \ 1)) \ 1,z) = x \ T(y,z). x \ y != z * T(z \ u,w) | x * (u * K((u \ z) \ 1,w)) = y. x * (y * K((y \ (x \ 1)) \ 1,z)) = T(x * y,z). (x * (y * z)) * T((x * (y * z)) \ (x * y),u) = (x * y) * K(L(z,y,x) \ 1,u). K(x \ 1,y) * z = (x * z) * T((x * z) \ z,y). (x * y) * T((x * y) \ y,z) = K(x \ 1,z) * y. K(x,T(y \ 1,z) \ 1) != u | T(K(x,y),w) = u. T(K(x,y),z) = 1 / T(K(y,x),u). T(x,K(y,z)) != u / T(w,K(v5,v6)) | u / w = x. 1 / K(x,y) = K(y,x). x / T(y,z) != T(z,y) | z * y = x. K(x,y) * K(y,x) = 1. K(x,y) \ 1 = K(y,x). K(x,y) \ 1 != z | z = K(y,x). K(x,y) \ 1 != z | K(y,x) = z. K(x,y) * (z \ 1) = (z * K(y,x)) \ 1. (x * K(y,z)) \ 1 = K(z,y) * (x \ 1). K(x,y) * (z \ 1) != u | (z * K(y,x)) \ 1 = u. (x \ 1) * (K(y,z) * (u \ 1)) = ((u * K(z,y)) * x) \ 1. x / (y \ z) != u | (x * (z \ x)) / (y \ x) = u. (T(x,y) * (1 \ T(x,y))) / ((x / y) \ T(x,y)) = ((x / y) \ 1) \ x. T(x \ ((x / (x \ 1)) * y),x) = ((x \ 1) * (x / y)) \ x. 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). (x * y) * T((x * y) \ x,z) = x * K(z,y). (x * y) * T(x \ (x / y),z) = x * K(z,y). x * T(y,z) != (x * y) * u | K(((x * y) \ x) \ 1,z) = u. (x * y) * z != x * T(y,u) | K(((x * y) \ x) \ 1,u) = z. (1 / x) * (y * T(y \ x,z)) = K(((1 / x) * y) \ 1,z). x / T(x / y,z) = x * (x / (x * T(y \ x,z))). x * (x / (x * T(y \ x,z))) = x / T(x / y,z). x * y != T(x * z,x \ 1) | ((x \ 1) \ z) * (x \ 1) = y. ((x \ 1) \ y) * (x \ 1) = (x * y) * (y / (x * y)). K(x,y) * (z * K((z \ K(y,x)) \ 1,u)) = T(K(x,y) * z,u). x * (y * T(y \ (x \ y),z)) = K(x \ 1,z) * y. (x * y) * T((x * y) \ y,z) = (x * T(x \ 1,z)) * y. (((x \ 1) \ 1) \ y) * ((z \ 1) \ 1) != u | (x \ y) * z = u. (x \ y) * x = ((x \ 1) * y) * (y / ((x \ 1) * y)). ((x \ 1) * y) * (y / ((x \ 1) * y)) = (x \ y) * x. x * (K(x \ 1,y) * (x \ z)) = K(x \ 1,y) * z. ((x \ 1) * y) * R(x,x \ 1,y) = (x \ y) * x. x * (K(x \ 1,y) * z) = K(x \ 1,y) * (x * z). K(x \ 1,y) * (x * z) = x * (K(x \ 1,y) * z). (1 / x) * (K(x,y) * ((1 / x) \ z)) = K((1 / x) \ 1,y) * z. x * (K(y,z) * u) != K(y,z) * (w * u) | L(w,u,K(y,z)) = x. L(x,y,K(x \ 1,z)) = x. L(x,y,K(z,u)) != w | R(x,y,K(z,u)) = w. R(x,y,K(x \ 1,z)) = x. L(x \ 1,y,K(x,z)) = x \ 1. L(x,y,K(z,x)) = x. R(x,y,K(z,x)) = x. x \ y != L(z,u,K(w,z)) | x * z = y. (K(x,y) * z) * 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). x * (K(y,x) * z) = K(y,x) * (x * z). K(x,y) * (y * z) = y * (K(x,y) * z). x * (y * K(z,x)) = K(z,x) * (x * y). K(x,y) * (y * z) = y * (z * K(x,y)). x * (y * K(z,x)) = (x * y) * K(z,x). (x * y) * K(z,x) = x * (y * K(z,x)). L(x,y,K(x,z)) = 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)). x \ y != L(z,u,K(z,w)) | x * z = y. (K(x,y) * z) * x = K(x,y) * (z * x). L(T(x,y),z,K(x,u)) = T(x,y). x * (K(x,y) * z) = K(x,y) * (x * z). K(x,y) * (x * z) = x * (K(x,y) * z). x * (y * K(x,z)) = K(x,z) * (x * y). K(x,y) * (x * z) = x * (z * K(x,y)). R(T(x,y),z,K(x \ 1,u)) = T(x,y). 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). L(T(x \ 1,y),z,K(u,x)) = T(x \ 1,y). x != T(y,z * K(u,w)) | T(y,z) = x. T(x,y) = R(T(x,y * K(z,u)),w,K(x \ 1,v5)). R(T(x,y * K(z,u)),w,K(x \ 1,v5)) = T(x,y). R(K(x,y),z,y) = K(x,y). x * (y * z) != y * (K(u,w) * z) | L(K(u,w),z,y) = x. L(K(x,y),z,y) = K(x,y). x / y != K(z,u) * (u * w) | (u * (K(z,u) * w)) * y = x. (x * (K(y,x) * z)) * u = R(K(y,x),x * z,u) * ((x * z) * u). R(K(x,y),y * z,u) * ((y * z) * u) = (y * (K(x,y) * z)) * u. K(x,R(y,z,u)) * ((y * z) * u) = R(y,z,u) * (K(x,R(y,z,u)) * (z * u)). R(x,y,z) * (K(u,R(x,y,z)) * (y * z)) = K(u,R(x,y,z)) * ((x * y) * z). x * y != K(z,u) * z | x \ T(z,u) = y. x \ T(x * y,x) = y * K(x * y,x). R(K(x,y),z,x) = K(x,y). L(x \ 1,x,K(x,y) * z) = (K(x,y) * (z * x)) \ (K(x,y) * z). (K(x,y) * (z * x)) \ (K(x,y) * z) = L(x \ 1,x,K(x,y) * z). K(x,y) * z = x * (K(x,y) * (x \ z)). x * (K(x,y) * (x \ z)) = K(x,y) * z. T(x,y) != R(T(z,y * u),y,u) | (y * u) \ ((y * z) * u) = x. (x * K(y \ 1,z)) \ ((x * y) * K(y \ 1,z)) = y. (T(x,y) * z) * K(x * z,u) != w | T(T(x,y) * z,u) = w. T(T(x,y) * z,x) = T(x,y) * (z * K(x * z,x)). T(x,y) * (z * K(x * z,x)) = T(T(x,y) * z,x). (x * K(y \ 1,z)) * y = (x * y) * K(y \ 1,z). T(x,y) * (x \ T(x * z,x)) = T(T(x,y) * z,x). x * y != (z * K(u \ 1,w)) * u | ((z * u) * K(u \ 1,w)) / y = x. ((x * y) * K(y \ 1,z)) / (y * K(y \ 1,z)) = R(x,K(y \ 1,z),y). (x \ y) * K(y,z) != u \ T(y,z) | L(x,x \ y,K(y,z)) = u. x \ T(y,z) != (u \ y) * K(y,z) | L(u,u \ y,K(y,z)) = x. (x * K(y,z)) * u = (x * u) * R(K(y,z),x,u). (x * y) * R(K(z,u),x,y) = (x * K(z,u)) * y. (x * y) * K(z,y) = (x * K(z,y)) * y. (x * K(y,z)) * z = (x * z) * K(y,z). (x * y) * K(y,z) = (x * K(y,z)) * y. (x * K(y,z)) * y = (x * y) * K(y,z). 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 \ (x \ z)) * y) = z * K((z \ (y * x)) \ 1,y). x * K((x \ (y * z)) \ 1,y) = z * ((y \ (z \ x)) * y). T(x,y \ T(z,u)) = T(x,y \ z). K(x,y \ T(z,u)) = K(x,y \ z). T(x,y \ (z * u)) = T(x,y \ (u * z)). T(x,y \ ((z / u) \ 1)) = T(x,y \ ((u \ z) \ 1)). x != K(y,z \ u) | K(y,u / z) = x. K(x,y / z) = K(x,z \ T(y,u)). K(x,y \ T(z,u)) = K(x,z / y). K(x,y \ (z \ u)) = K(x,y \ (u / z)). K(x,y \ (z / u)) = K(x,y \ (u \ z)). K(x,y \ ((z \ u) \ u)) = K(x,y \ z). K(x,y \ ((z * u) * R(w,z,u))) = K(x,y \ ((w * z) * u)). K(x,y \ T(z * u,z)) != w | K(x,y \ (u * z)) = w. K(x,y \ (z * u)) = K(x,(u * z) / y). K(x,(y * z) / u) = K(x,u \ (z * y)). x != T(y,z) | T(y,K(u,w) \ z) = x. T(x,K(y,z) \ (u \ (w * v5))) = T(x,u \ (v5 * w)). T(x,L(T(y,z),z,u)) = T(x,(u * z) \ ((y * z) * u)). T(x,(y * z) \ ((u * z) * y)) = T(x,L(T(u,z),z,y)). K(x,y \ (z * u)) != w | K(x,y \ (u * z)) = w. T(x,y \ (z * u)) != w | T(x,y \ (u * z)) = w. T(x,(y * z) \ ((u * z) * y)) != w | T(x,L(u,z,y)) = w. (x \ 1) * ((y \ 1) * K(z,u)) = ((y * K(u,z)) * x) \ 1. T(x \ ((x * x) * y),x) = ((x \ 1) * (x / y)) \ x. x != y \ y | 1 = x. 1 = K(x \ R(x,y,z),R(x,u,w)). K(x \ R(x,y,z),R(x,u,w)) = 1. x != K(((1 / y) * z) \ u,w) | K(((y \ 1) * z) \ u,w) = x. K(((x \ 1) * y) \ 1,z) = (1 / x) * (y * T(y \ x,z)). (1 / x) * (y * T(y \ x,z)) = K(((x \ 1) * y) \ 1,z). (1 / (x \ y)) * (x \ T(y,z)) = K((((x \ y) \ 1) * (x \ 1)) \ 1,z). K((((x \ y) \ 1) * (x \ 1)) \ 1,z) = (1 / (x \ y)) * (x \ T(y,z)). x * y != T(z,u) * a(K(z,u),w,w \ z) | ((K(z,u) * w) * (w \ z)) / y = x. ((K(x,y) * z) * (z \ x)) / T(T(x,y),a(K(x,y),z,z \ x)) = a(K(x,y),z,z \ x). (x * ((y * x) \ 1)) \ (y \ 1) != z | a(x,x \ 1,y \ 1) = z. a(x,x \ 1,y \ 1) = (y / L(y,x,x \ 1)) \ 1. (x / L(x,y,y \ 1)) \ 1 = a(y,y \ 1,x \ 1). (L(x,y,y \ 1) \ x) \ 1 = a(y,y \ 1,x \ 1). a(x \ 1,x,y) \ 1 = a(x,x \ 1,y \ 1). a(x,x \ 1,y \ 1) = a(x \ 1,x,y) \ 1. x != a(y \ 1,y,z) \ 1 | a(z,y,y \ 1) = x. a(x,y,y \ 1) = a(y,y \ 1,x \ 1). a(x,x \ 1,y \ 1) = a(y,x,x \ 1). a(x,x \ 1,y) = a(y \ 1,x,x \ 1). a(x \ 1,y,y \ 1) = a(y,y \ 1,x). a(T(x,y),T(x \ 1,y),z \ 1) = a(z,T(x,y),T(x,y) \ 1). (x \ 1) \ ((y \ 1) \ ((y \ 1) / x)) = (y \ (y / (x \ 1))) \ 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). (x * y) * T((x * y) \ (z * y),u) = (x * T(x \ z,u)) * y. K(a(x,y,z),T(u,w)) = K(R(x \ R(x,y,z),x,y * z),u). K(R(x \ R(x,y,z),x,y * z),u) = K(a(x,y,z),T(u,w)). K(a(x,y,z),u) = K(R(x \ R(x,y,z),x,y * z),u). K(R(x \ R(x,y,z),x,y * z),u) = K(a(x,y,z),u). (x * y) * L((x * y) \ y,z,u) = (x * L(x \ 1,z,u)) * y. ((x / y) * T((x / y) \ z,u)) * y = x * T(x \ (z * y),u). K(x,y) * (K(y,x) * T(K(y,x) \ z,u)) = T(K(x,y) * z,u). (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). a(T(x,y),T(x \ 1,y),z \ 1) = a(z,T(x,y),T(x \ 1,y)). (x * L(x \ 1,y,z)) * (x \ u) = u * L(u \ (x \ u),y,z). x * (y * T(y \ (x \ (z * y)),u)) = (x * T(x \ z,u)) * y. (x * y) * L(L(T(x \ 1,y),x,y),z,u) = (x * L(x \ 1,z,u)) * y. K(x,y) \ T(K(x,y) * z,u) = K(y,x) * T(K(y,x) \ z,u). (x * L(x \ (y \ x),z,u)) / (y \ x) = y * L(y \ 1,z,u). x * y != z * L(u \ y,u,z / y) | z / u = x. x / x = y * L(y \ 1,x,x / (y \ x)). x * L(x \ 1,y,y / (x \ y)) = y / y. T(x,(y * L(y \ 1,z,u)) * (y \ w)) = T(x,L(w \ (y \ w),z,u) * w). T(x,L(y \ (z \ y),u,w) * y) = T(x,(z * L(z \ 1,u,w)) * (z \ y)). x * L(x \ 1,y,x) = y / y. x / x = y * L(y \ 1,x,y). x \ 1 = L(x \ 1,y,x). L(x \ 1,y,x) = x \ 1. 1 = x * L(x \ 1,y,x). x * L(x \ 1,y,x) = 1. x \ y != L(z \ 1,u,z) | y / (z \ 1) = x. (x * y) / (x \ 1) = x * (y / (x \ 1)). x \ y != L(z \ 1,u,z) | x * (z \ 1) = y. (x * y) * (x \ 1) = x * (y * (x \ 1)). L(x \ 1,y,z) = L(L(x \ 1,y,z),u,x). L(L(x \ 1,y,z),u,x) = L(x \ 1,y,z). (x * y) * L(x \ 1,z,u) = x * (y * L(x \ 1,z,u)). ((x / y) * (y * L(x \ 1,z,x))) \ 1 = a(x / y,y,L(x \ 1,z,x)). (x \ 1) \ (y * x) = x * (y / (x \ 1)). (x * (y * (x \ 1))) * L((x * y) \ ((x * y) / (x \ 1)),z,u) = (x * y) * ((x \ 1) * L((x \ 1) \ 1,z,u)). L(x / (y \ 1),y,y \ 1) = x * y. x \ y != z * (u / (z \ 1)) | x * (((z \ 1) \ u) * z) = y. (x \ 1) * (((x \ 1) \ y) * x) = y * x. L(x,y,y \ 1) = (x * (y \ 1)) * y. (x * (y \ 1)) * y = L(x,y,y \ 1). ((x * y) \ (x / (y \ 1))) \ 1 = (x / (y \ 1)) \ L(x / (y \ 1),y,y \ 1). (x / (y \ 1)) \ L(x / (y \ 1),y,y \ 1) = ((x * y) \ (x / (y \ 1))) \ 1. L(x,y \ 1,y) = L(x,y,y \ 1). x * ((x \ 1) * y) = L(y,x,x \ 1). L(x,y,y \ 1) / y = x * (y \ 1). x * y = L((x \ 1) \ y,x,x \ 1). L((x \ 1) \ y,x,x \ 1) = x * y. x * y != L(z,u,u \ 1) | x \ L(z,u \ 1,u) = y. (x \ 1) \ L(y,x \ 1,x) = x * y. L(x,y,y \ 1) \ x = a(y,y \ 1,x). L(x,y,y \ 1) * a(y,y \ 1,x) = x. L(x * y,x,x \ 1) != z | x * L(y,x,x \ 1) = z. x \ L(x,y,y \ 1) = a(x,y \ 1,y). x * y != L(z \ u,z,z \ 1) | x \ ((z \ 1) * u) = y. x \ ((x \ 1) * y) = (x \ 1) * (x \ y). x \ y != z * ((z \ 1) * u) | x * L(u,z,z \ 1) = y. L(x,y,z) * L(u,x,x \ 1) = x * (L(x,y,z) * ((x \ 1) * u)). x * (L(x,y,z) * ((x \ 1) * u)) = L(x,y,z) * L(u,x,x \ 1). x * ((y * x) \ 1) = L(y \ 1,x,x \ 1). L(x \ 1,y,y \ 1) = y * ((x * y) \ 1). (x * (y \ 1)) * y != z | z = L(x,y,y \ 1). (x * (y \ 1)) * y != z | L(x,y,y \ 1) = z. (x \ 1) * (y * x) = ((x \ 1) * y) * x. ((x \ 1) * y) * x = (x \ 1) * (y * x). L(x,y,y \ 1) \ x != z | a(y \ 1,y,x) = z. a(x \ 1,x,y) = a(x,x \ 1,y). a(x \ 1,x,y) != z | y * (x * ((y * x) \ 1)) = z. x * (y * ((x * y) \ 1)) = a(y,y \ 1,x). a(x,x \ 1,y) \ 1 = a(y,x,x \ 1). x \ L(x,y,y \ 1) != z | a(x,y,y \ 1) = z. a(x,y,y \ 1) = a(x,y \ 1,y). a(x,y \ 1,y) = a(x,y,y \ 1). x \ y = (x \ 1) * (x \ ((x \ 1) \ y)). (x \ 1) * (x \ ((x \ 1) \ y)) = x \ y. x \ (x \ K(x,y)) = (x \ 1) * (x \ K(x,y)). (x \ 1) * (x \ K(x,y)) = x \ (x \ K(x,y)). R(x \ 1,y,x) = x \ 1. L(x,y,x \ 1) = x. ((x \ 1) * (y * x)) \ x = x \ (((x \ 1) * y) \ x). L(x,y,L(x,z,u) \ 1) = x. R(x,y,z) = L(R(x,y,z),u,x \ 1). L(R(x,y,z),u,x \ 1) = R(x,y,z). L(x,y,z) = L(L(x,y,z),u,x \ 1). L(L(x,y,z),u,x \ 1) = L(x,y,z). x != y | L(z,u,x \ 1) != y | x = z. (L(x,y,z) \ 1) * (u * T(x,(L(x,y,z) \ 1) * u)) = x * ((L(x,y,z) \ 1) * u). (x \ 1) * (y * T(R(x,z,u),(x \ 1) * y)) = R(x,z,u) * ((x \ 1) * y). (x \ 1) * (y * T(L(x,z,u),(x \ 1) * y)) = L(x,z,u) * ((x \ 1) * y). a(x,y,y \ 1) \ 1 = a(y,y \ 1,x). (x \ 1) \ (x \ y) = x \ ((x \ 1) \ y). a(x,x \ 1,y) \ 1 != z | z = a(y,x,x \ 1). a(x,x \ 1,y) \ 1 != z | a(y,x,x \ 1) = z. L(x,y \ 1,y) != z | L(x,y,y \ 1) = z. x * ((x \ 1) * y) != z | L(y,x,x \ 1) = z. a(x,y \ 1,y) != z | a(x,y,y \ 1) = z. a(x \ 1,x,y) \ 1 != z | a(y,x,x \ 1) = z. a(x,x \ 1,y \ 1) != z | a(y,x,x \ 1) = z. L(x,y,y \ 1) / x != z | a(x,y,y \ 1) = z. a(x,x \ 1,y) != z | a(y \ 1,x,x \ 1) = z. (x / (y * x)) * ((x \ 1) \ x) = x * (x \ (((x \ 1) * y) \ x)). x \ (y * L(x \ 1,z,u)) = (x \ y) * L(x \ 1,z,u). (x * T(x \ y,z)) * u != x * w | u * T(u \ (x \ (y * u)),z) = w. x / y != K(z,u) \ T(K(z,u) * w,v5) | (K(u,z) * T(K(u,z) \ w,v5)) * y = x. (K(x,y) * T(K(x,y) \ z,u)) * K(y,x) = T(z * K(y,x),u). ((x \ 1) * (x * (y \ (x \ 1)))) / (y \ (x \ 1)) = y * L(y \ 1,x,x \ 1). (x \ (x / y)) * ((x \ 1) \ x) = x * (x \ (((x \ 1) * y) \ x)). (x \ (x / y)) * (x * x) = x * (x \ (((x \ 1) * y) \ x)). x * (x \ (((x \ 1) * y) \ x)) = (x \ (x / y)) * (x * x). ((x \ 1) * y) \ x = (x \ (x / y)) * (x * x). (x \ (x / y)) * (x * x) = ((x \ 1) * y) \ x. x != (y * (z \ u)) \ u | u \ (z * (y \ u)) = x. x \ (y * ((x \ 1) \ x)) = (x \ (x / (y \ x))) * (x * x). (x \ (x / (y \ x))) * (x * x) = x \ (y * ((x \ 1) \ x)). (x \ (x * (y / x))) * (x * x) = ((x \ 1) * (x / y)) \ x. (x \ y) * (x * x) = x \ (y * ((x \ 1) \ x)). x \ (y * ((x \ 1) \ x)) = (x \ y) * (x * x). x \ (y * (x * x)) = (x \ y) * (x * x). x / y != z \ (u * (z * z)) | ((z \ u) * (z * z)) * y = x. ((x \ y) * (x * x)) * x = T(y * (x * x),x). ((x \ y) * (x * x)) * x = T((y * x) * L(x,x,y),x). T((x * y) * L(y,y,x),y) = ((y \ x) * (y * y)) * y. (x / y) * (y * y) = ((y \ 1) * (y / x)) \ y. ((x \ 1) * (x / y)) \ x = (y / x) * (x * x). ((x \ 1) * (x / y)) \ x != z | T(x \ ((x * x) * y),x) = z. T(x \ ((x * x) * y),x) = (y / x) * (x * x). T((x \ ((x * x) * y)) * x,x) = ((y / x) * (x * x)) * x. T(T((x * x) * y,x),x) = ((y / x) * (x * x)) * x. (L(x,y,z) * (z * y)) \ (x * (z * y)) = a(z,y,T(x,z * y)). R(L(x,y,z),z * y,(z * y) \ (x * (z * y))) \ (x * (z * y)) = (z * y) * a(z,y,T(x,z * y)). (L(x,y,z) * (z * y)) \ (x * (z * y)) = a(z,y,T(x,y * z)). ((x * y) \ 1) \ (((x * K(z,u)) * y) \ 1) = L(K(u,z),x \ 1,y \ 1). (x * (y * z)) \ ((x * T(y,z)) * T(z,y)) = a(x,T(y,z),T(z,T(y,z))). L(x \ y,x,x \ 1) \ (x \ y) = ((y \ 1) * x) * (x \ y). L(x,y,y \ 1) \ x != z | a(y,y \ 1,x) = z. a(x,x \ 1,x \ y) = ((y \ 1) * x) * (x \ y). ((x \ 1) * y) \ (x \ y) = ((y \ 1) * x) * (x \ y). (x \ y) \ (((x \ 1) * y) \ (x \ y)) = ((x \ 1) * y) \ 1. x != ((y \ 1) * z) \ 1 | (z \ 1) * y = x. (x \ 1) * y = (y \ x) \ (((y \ 1) * x) \ (y \ x)). (x \ y) \ (((x \ 1) * y) \ (x \ y)) = (y \ 1) * x. x \ y != L((z * ((u \ w) \ v5)) / z,u \ w,u) | x * ((z * (w \ (u * v5))) / z) = 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)) / x = L((x / y) * y,y,x / y). L((x / y) * y,y,x / y) = ((x / y) * (y * x)) / x. x != ((y / z) * u) / y | y / ((y / u) * z) = x. x / ((x / (y * x)) * y) = L((x / y) * y,y,x / y). L((x / y) * y,y,x / y) = x / ((x / (y * x)) * y). L((x / y) * y,y,x / y) = x / ((x \ (x / y)) * y). L(x,y,x / y) = x / ((x \ (x / y)) * y). x / ((x \ (x / y)) * y) = L(x,y,x / y). L(x,y,x / y) \ x = (x \ (x / y)) * y. x != (y \ (y / z)) * z | z * (y \ (y / z)) = x. x * (y \ (y / x)) = L(y,x,y / x) \ y. L(x,y,x / y) \ x = y * (x \ (x / y)). x \ y != L(R(T(z,u) \ w,v5,v6),T(z,u),u) | x * R((z * u) \ (u * w),v5,v6) = y. (x * y) * R((x * y) \ (y * z),u,w) = y * (T(x,y) * R(T(x,y) \ z,u,w)). ((x / y) \ 1) \ (y / x) = (x / y) * (y / x). (x \ 1) \ (y / (x * y)) = ((x * y) / y) * (y / (x * y)). ((x * y) / y) * (y / (x * y)) = (x \ 1) \ (y / (x * y)). ((x * y) / y) * (y / (x * y)) = (x \ 1) \ (y \ (y / x)). x * (y / (x * y)) = (x \ 1) \ (y \ (y / x)). (x \ 1) \ (y \ (y / x)) = x * (y / (x * y)). (x \ 1) \ (y \ (y / x)) = x * (y \ (y / x)). (x \ 1) \ ((y \ 1) \ ((y \ 1) / x)) != z | (y \ (y / (x \ 1))) \ x = z. (x \ (x / (y \ 1))) \ y = y * ((x \ 1) \ ((x \ 1) / y)). x * ((y \ 1) \ ((y \ 1) / x)) = (y \ (y / (x \ 1))) \ x. R(L(x \ 1,x,y),z,u) * (x * y) = (x * R(x \ 1,z,u)) * y. x \ (y * (L(y,z,u) * (L(y,z,u) \ x))) = T(y,L(y,z,u) \ x). (x \ y) / (x \ ((x \ 1) * y)) = L(x,x \ 1,y). (x \ y) / ((x \ 1) * (x \ y)) = L(x,x \ 1,y). L(x,x \ 1,x \ y) = L(x,x \ 1,y). L(x,x \ 1,y) = L(x,x \ 1,x * y). L(x,x \ 1,x * y) = L(x,x \ 1,y). L(x,x \ 1,x * y) != z | (x * y) \ ((x \ 1) \ (y * x)) = z. (x * y) \ ((x \ 1) \ (y * x)) = L(x,x \ 1,y). (x * y) \ (x * (y / (x \ 1))) = L(x,x \ 1,y). 1 / R(T(x,(1 / x) * y),x \ 1,y) = (((1 / x) * y) \ y) \ 1. T(x,y \ 1) != T(y * z,u) | T(z * y,u) = x. T(x * L(y,z,u),y) = T(x,y) * L(y,z,u). T((x * y) * L(y,y,x),y) != z | ((y \ x) * (y * y)) * y = z. ((x \ y) * (x * x)) * x = T(y * x,x) * L(x,x,y). T(x * y,y) * L(y,y,x) = ((y \ x) * (y * y)) * y. (T(x,y) * y) * L(y,y,x) = ((y \ x) * (y * y)) * y. (((x \ y) * x) * x) * L(x,x,y) = ((x \ y) * (x * x)) * x. R(x,y,T(z,y)) != u | ((x * y) * T(z,y)) / (z * y) = u. x != (y * (z \ 1)) * (u \ 1) | (u * (z * (y \ 1))) \ 1 = x. ((x / y) * (y * (x \ 1))) \ 1 = (x / y) \ L(x / y,y,y \ 1). (x / y) \ L(x / y,y,y \ 1) = ((x / y) * (y * (x \ 1))) \ 1. (x / y) \ (x * (y \ 1)) = (x * (y \ 1)) * ((x / y) \ 1). (x * (y \ 1)) * ((x / y) \ 1) = (x / y) \ (x * (y \ 1)). (K(x,y) * (z * x)) \ (K(x,y) * z) != u | L(x \ 1,x,z) = u. L(x \ 1,x,y) = L(x \ 1,x,K(x,z) * y). L(x \ 1,x,K(x,y) * z) = L(x \ 1,x,z). L(x \ 1,x,y * K(x,z)) = L(x \ 1,x,y). L(R(x \ 1,y,z),x,u) * (x * u) = (x * R(x \ 1,y,z)) * u. x \ (y * x) = T(y,L(y,z,u) \ x). T(x,L(x,y,z) \ u) = u \ (x * u). x != y \ (z * y) | T(z,y) = x. T(x,y) = T(x,L(x,z,u) \ y). T(x,L(x,y,z) \ u) = T(x,u). T(x,x * (L(x,y,z) \ u)) = T(x,u). T(x,x * y) = T(x,L(x,z,u) * y). T(x,L(x,y,z) * u) = T(x,x * u). x * y != T(z,L(z,u,w) * v5) | x \ T(z,z * v5) = y. x \ T(x,x * y) = K(x,L(x,z,u) * y). K(x,L(x,y,z) * u) = x \ T(x,x * u). K(x,x * y) = K(x,L(x,z,u) * y). K(x,L(x,y,z) * u) = K(x,x * u). x != K(y,y * z) | K(y,z) = x. K(x,y) = K(x,L(x,z,u) * y). K(x,L(x,y,z) * u) = K(x,u). K(x,y * L(x,z,u)) = K(x,y). K(x,y) = K(x,L(x,z,u) \ y). K(x,L(x,y,z) \ u) = K(x,u). K(x,y * (z * x)) = K(x,y * z). K(x,x \ (y * (z * x))) = K(x,y * z). x != K(y,z * y) | K(y,z) = x. K(x,y) = K(x,y * (x * x)). K(x,y * (x * x)) = K(x,y). K(x,(x * x) * y) = K(x,y). 1 / R(T(x,(x \ 1) * y),x \ 1,y) = (((1 / x) * y) \ y) \ 1. x \ 1 != (y / z) \ L(y / z,z,z \ 1) | (y * (z \ 1)) \ (y / z) = x. (x * (y \ 1)) \ (x / y) = (x / y) * (y * (x \ 1)). L(R(x \ 1,y,z),x,x \ u) * u = (x * R(x \ 1,y,z)) * (x \ u). 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 * (T(y,z) * T(y,z))) \ ((x * R(T(y,z),u,y)) * T(y,z)) = a(x,R(T(y,z),u,y),T(y,z)). (x * y) * R((x * y) \ (z * y),u,w) = (R(z / x,u,w) * x) * y. (x * y) * L((x * y) \ (z * y),u,w) = (L(z / x,u,w) * x) * y. L((x * y) / x,z,u) * x != w | x * L(y,z,u) = w. (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 * 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 * y != ((z / u) * u) * w | (z * w) / y = x. (x * L(y,z,u)) / y = (x / y) * L(y,z,u). x * y != ((z / u) * u) * w | x \ (z * w) = y. ((x / y) * L(y,z,u)) \ (x * L(y,z,u)) = y. (x * (y * z)) * z = ((x * y) * z) * L(z,y,x). ((x * y) * z) * L(z,y,x) = (x * (y * z)) * z. ((x * (y \ L(y,z,u))) * y) / L(y,z,u) != w | R(x,y \ L(y,z,u),y) = w. R(x,y \ L(y,z,u),y) = ((x * (y \ L(y,z,u))) / L(y,z,u)) * y. ((x * (y \ L(y,z,u))) / L(y,z,u)) * y = R(x,y \ L(y,z,u),y). ((x * y) * z) \ ((x * (y * z)) * z) = L(z,y,x). L(x,y,z) = ((z * y) * x) \ ((z * (y * x)) * x). (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 * L(x,u,w)) | (z / x) * L(x,u,w) = y. x \ (y * L(z,u,w)) != z | (y / z) * L(z,u,w) = x. (((x \ y) * x) * x) * z != ((x \ y) * (x * x)) * x | L(x,x,y) = z. L(x,x,y) = L(x,x,x \ y). L(x,x,x \ y) = L(x,x,y). L(x,x,y) = L(x,x,x * y). L(x,x,x * y) = L(x,x,y). R(L(x,x,y),z,u) = L(R(x,z,u),x,x \ y). L(R(x,y,z),x,x \ u) = R(L(x,x,u),y,z). L(L(x,x,y),z,u) = L(L(x,z,u),x,x \ y). L(L(x,y,z),x,x \ u) = L(L(x,x,u),y,z). L(R(x,y,z),x,u) = L(R(x,y,z),x,x \ u). L(R(x,y,z),x,x \ u) = L(R(x,y,z),x,u). L(T(L(x,y,z),u),x,x \ w) = T(L(L(x,x,w),y,z),u). ((x * y) * z) * L(z,y,x) != u | u = (x * (y * z)) * z. ((x * y) * z) * L(z,y,x) != u | (x * (y * z)) * z = u. ((x * (y * z)) / z) \ (x * y) = (x * y) \ (((x * y) / L(z,y,x)) * z). (x * y) \ (((x * y) / L(z,y,x)) * z) = ((x * (y * z)) / z) \ (x * y). x != T(L(y,z,u),w) | L(T(y,w),z,u) = x. L(T(L(x,x,y),z),u,w) = L(T(L(x,u,w),z),x,x \ y). L(T(L(x,y,z),u),x,x \ w) = L(T(L(x,x,w),u),y,z). L(T(L(x,y,z),u),x,x \ w) = L(L(T(x,u),x,w),y,z). L(L(T(x,y),z,u),x,x \ w) = L(L(T(x,y),x,w),z,u). L(T(x,y),x,x \ z) = L(T(x,y),x,z). L(T(x,y),x,z) = L(T(x,y),x,x * z). L(T(x,y),x,x * z) = L(T(x,y),x,z). (x * y) * L((x * y) \ y,z,u) != w | (x * L(x \ 1,z,u)) * y = w. (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 \ 1) * y) * L((y \ 1) * x,z,u) = (x \ 1) * (y * L(y \ ((x \ 1) \ 1),z,u)). (x \ 1) * (y * L(y \ ((x \ 1) \ 1),z,u)) = ((x \ 1) * y) * L((y \ 1) * x,z,u). R(x,y,z) * ((x * u) * L((x * u) \ (x * (R(x,y,z) \ u)),w,v5)) = (R(x,y,z) * L(R(x,y,z) \ 1,w,v5)) * (x * u). x * ((x * L(x \ 1,y,z)) * (x \ u)) = (x * L(x \ 1,y,z)) * u. (x * y) * ((z * ((x * y) \ x)) / z) = x * K(z,y \ 1). (x * (R(x,y,z) * u)) \ ((x * R(x,y,z)) * u) = a(R(x,y,z),x,u). 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). (R(1 / (x / y),z,u) * (x / y)) * y = R(y / x,z,u) * x. ((x / y) * R((x / y) \ 1,z,u)) * y = R(y / x,z,u) * x. x * y != R(z / u,w,v5) * u | (u * R(u \ z,w,v5)) / y = x. (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. x / ((x / R((x / y) \ x,z,u)) * y) = ((x / y) / x) * R(((x / y) / x) \ 1,z,u). ((x / y) / x) * R(((x / y) / x) \ 1,z,u) = x / ((x / R((x / y) \ x,z,u)) * y). R(x,y,z) * R((((x * y) * z) / (y * z)) \ 1,u,w) = (((x * y) * z) * R(((x * y) * z) \ (y * z),u,w)) / (y * z). (((x * y) * z) * R(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * R((((x * y) * z) / (y * z)) \ 1,u,w). (x / (y * x)) * R((x / (y * x)) \ 1,z,u) = (x * R(T(y,x),z,u)) / (y * x). ((x \ y) / y) * R(((x \ y) / y) \ 1,z,u) = ((x \ y) * R(T(x,y),z,u)) / y. x != (y * z) * R(L(u,z,y),w,v5) | y * (z * R(u,w,v5)) = x. x * (y * R(z,x,y)) = (((x * (y * z)) / (x * y)) * x) * y. (((x * (y * z)) / (x * y)) * x) * y = x * (y * R(z,x,y)). ((x \ (y / (1 / z))) * x) * (1 / z) != u | ((x \ (y * z)) * x) / z = u. ((x \ (y * z)) * x) / z = x * (T((x \ y) * z,x) / z). x * (T((x \ y) * z,x) / z) = ((x \ (y * z)) * x) / z. x * (y \ T(y * (x \ z),x)) = ((x \ (z * y)) * x) / y. x * (y \ T(y * (x \ z),x)) != u | ((x \ (z / (y \ 1))) * x) * (y \ 1) = u. ((x \ (y / (z \ 1))) * x) * (z \ 1) = ((x \ (y * z)) * x) / z. (x \ 1) * ((y \ ((x \ 1) \ z)) * y) = ((y \ (z * x)) * y) / x. x / y != (z \ 1) * ((u \ ((z \ 1) \ w)) * u) | (z \ ((u \ (z * w)) * u)) * y = x. (x \ ((y \ (x * z)) * y)) * x = (y \ (z * x)) * y. (x * K(y,T(z,u))) * (w * K(v5,v6)) = (x * K(y,z)) * (K(v5,v6) * w). x * ((x * (T(x,y) \ x)) \ z) = (x * (T(x,y) \ x)) \ (x * z). (x * (T(x,y) \ x)) \ (x * z) = x * ((x * (T(x,y) \ x)) \ z). L(x,T(y,z) \ y,y) = y * ((y * (T(y,z) \ y)) \ ((T(y,z) \ y) * x)). x * ((x * (T(x,y) \ x)) \ ((T(x,y) \ x) * z)) = L(z,T(x,y) \ x,x). (T(x,y) * T(x,y)) / ((x / y) \ T(x,y)) = ((x / y) \ 1) \ x. K((((x \ y) \ 1) * (x \ 1)) \ 1,z) != u | K(y,z) = u. K(x,y) = (1 / (z \ x)) * (z \ T(x,y)). (1 / (x \ y)) * (x \ T(y,z)) = K(y,z). (1 / x) * ((y / x) \ T(y,z)) = K(y,z). (1 / (x \ y)) \ K(y,z) != u | u = x \ T(y,z). (1 / (x \ y)) \ K(y,z) != u | x \ T(y,z) = u. (1 / (x * y)) * (y * x) = K(y,x). K(x,y) = (1 / (y * x)) * (x * y). x != (y / (z * u)) * (u * z) | (u * z) * ((z * u) \ y) = x. (x * y) * ((y * x) \ 1) = K(x,y). K(x,y) = (x * y) * ((y * x) \ 1). K(x \ y,x) = ((x \ y) * x) * (y \ 1). ((x \ y) * x) * (y \ 1) = K(x \ y,x). x != K(y \ z,y) | ((y \ z) * y) / z = x. ((x \ y) * x) / y = ((x \ y) * x) * (y \ 1). ((x \ y) * x) * (y \ 1) = ((x \ y) * x) / y. ((x \ y) * x) / y != ((x \ y) * x) * z | y \ 1 = z. L(T(1 / x,y),y,K(x,z)) = T(1 / x,K(x,z) * y). (x * y) * R((x * y) \ (z * y),u,w) = (x * R(x \ z,u,w)) * y. (x * y) * L((x * y) \ (z * y),u,w) = (x * L(x \ z,u,w)) * y. (L(x,y,z) / (x * (u \ L(x,y,z)))) * x = R(u,x \ L(x,y,z),x). (x \ y) * (y \ ((x * L(x \ 1,z,u)) * y)) = L(x * L(x \ 1,z,u),x \ y,x) * (x \ y). L(x * L(x \ 1,y,z),x \ u,x) * (x \ u) = (x \ u) * (u \ ((x * L(x \ 1,y,z)) * u)). a(R(x,y,z),x,u) != w | a(x,R(x,y,z),u) = w. x \ (y * L(y \ x,z,u)) = (x \ y) * L((x \ y) \ 1,z,u). (x \ y) * L((x \ y) \ 1,z,u) = x \ (y * L(y \ x,z,u)). x != (y * z) \ (y * u) | L(z \ u,z,y) = x. L(x \ L(y \ (y * x),z,u),x,y) = ((y * x) \ y) * L(((y * x) \ y) \ 1,z,u). x \ y != (z \ u) * L((z \ u) \ 1,w,v5) | x * (z \ (u * L(u \ z,w,v5))) = y. ((x \ y) \ 1) * (x \ (y * L(y \ x,z,u))) = L((x \ y) \ 1,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 != (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. 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 * K(y,T(z,u))) * (K(w,T(v5,v6)) * v7) = (x * K(y,z)) * (K(w,v5) * v7). (x * y) * R((x * y) \ z,u,w) != v5 | x * (y * R(y \ (x \ z),u,w)) = v5. x * (y * R(y \ (x \ (z * y)),u,w)) = (x * R(x \ z,u,w)) * y. (x * y) * (y * R(y \ 1,z,u)) = ((x * y) * R((x * y) \ x,z,u)) * y. ((x * y) * R((x * y) \ x,z,u)) * y = (x * y) * (y * R(y \ 1,z,u)). 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) * R((x * y) \ y,z,u) = (x * R(x \ 1,z,u)) * y. x * R(x \ T(y,x),z,u) = T(x * R(x \ y,z,u),x). T(x * R(x \ y,z,u),x) = x * R(x \ T(y,x),z,u). x * y != z * R(z \ T(u,z),w,v5) | 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,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 * ((x * y) * R((x * y) \ y,z,u)) = (x * R(x \ 1,z,u)) * (x * y). (x * y) * R(y \ (x \ y),z,u) = (x * R(x \ 1,z,u)) * y. ((x / y) * x) * R(x \ y,z,u) = ((x / y) * R((x / y) \ 1,z,u)) * x. ((x / y) * R((x / y) \ 1,z,u)) * x = ((x / y) * x) * R(x \ y,z,u). x * (y * ((x * y) \ (z * y))) = (x * L(x \ z,y,x)) * y. (x * L(x \ y,z,x)) * z = x * (z * ((x * z) \ (y * z))). (x * y) * L((x * y) \ x,z,u) != w | x * (y * L(y \ 1,z,u)) = w. (x * y) * (y * L(y \ 1,z,u)) = ((x * y) * L((x * y) \ x,z,u)) * y. ((x * y) * L((x * y) \ x,z,u)) * y = (x * y) * (y * L(y \ 1,z,u)). x * y != (z * x) * L((z * x) \ (u * x),w,v5) | T(z * L(z \ u,w,v5),x) = y. T(x * L(x \ y,z,u),x) = x * L(x \ (x \ (y * x)),z,u). x * L(x \ (x \ (y * x)),z,u) = T(x * L(x \ y,z,u),x). (x * L(y,z,x)) * z = x * (z * ((x * z) \ ((x * y) * z))). x * (y * ((x * y) \ ((x * z) * y))) = (x * L(z,y,x)) * y. 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). T(x,y) * L(x \ T(z,x),u,w) = T(T(x,y) * L(x \ z,u,w),x). T(T(x,y) * L(x \ z,u,w),x) = T(x,y) * L(x \ T(z,x),u,w). L((x \ y) \ 1,z,u) != ((x \ y) \ 1) * w | x \ (y * L(y \ x,z,u)) = w. 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. a(x,y,z) = L(L(z,y,x) \ z,L(z,y,x),x * y). a(x,y,z) != L(u,L(z,y,x),x * y) | L(z,y,x) \ z = u. L(x,L(y,z,u),u * z) != a(u,z,y) | L(y,z,u) \ y = x. T(x,a(y,z,x)) = x. x \ y != T(z,a(u,w,z)) | x * z = y. a(x,y,z) * z = z * a(x,y,z). x * y != T(z,a(u,w,z)) | x \ z = y. (a(x,y,z) \ z) \ z = a(x,y,z). R(K(R(x,y,z),u),R(x,y,z),y * z) = (R(T(x,u),y,z) * (y * z)) / ((x * y) * z). (R(T(x,y),z,u) * (z * u)) / ((x * z) * u) = R(K(R(x,z,u),y),R(x,z,u),z * u). (T(x,x \ y) * z) \ (((x \ y) \ y) * (z * u)) != w | L(u,z,T(x,x \ y)) = w. L(x,y,T(z,z \ u)) = L(x,y,(z \ u) \ u). L(x,y,T(z,u)) = L(x,y,(z \ u) \ u). L(x,y,(z \ u) \ u) = L(x,y,T(z,u)). L(x,y,(z \ 1) \ 1) = L(x,y,z). L(x,y,T(z,K(u,w))) = L(x,y,z). L(x,y,K(z,T(u,w))) = L(x,y,K(z,u)). L(x,y,L(z,u,z)) = L(x,y,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,K(z \ u,z)) = L(x,y,K(z \ u,u)). L(x,y,K(z \ u,u)) = L(x,y,K(z \ u,z)). x != L(y,z,K(u \ w,u)) | L(y,z,K(w,u)) = x. L(x,y,K(z,u)) = L(x,y,K(u \ z,z)). L(x,y,K(z \ u,u)) = L(x,y,K(u,z)). L(x \ 1,x,T(x,y) * (z / x)) = (T(x,y) * z) \ (T(x,y) * (z / x)). L((x * y) \ z,x * y,K(y,x)) = (y * x) \ (z * K(y,x)). ((x * (y * z)) \ 1) / ((x * y) \ 1) = R(z \ 1,y \ 1,x \ 1). ((x * y) \ (x * (y * z))) \ 1 = R(z \ 1,y \ 1,x \ 1). L(x,y,z) \ 1 = R(x \ 1,y \ 1,z \ 1). R(x \ 1,y \ 1,z \ 1) = L(x,y,z) \ 1. R(x,y \ 1,z \ 1) = L(x \ 1,y,z) \ 1. (x * L(x \ 1,y,z)) \ 1 = x \ R(x,y \ 1,z \ 1). x \ 1 != y \ R(y,z,u) | R(y,z,u) \ y = x. R(x,y \ 1,z \ 1) \ x = x * L(x \ 1,y,z). ((x / (y \ 1)) * L((x / (y \ 1)) \ 1,y,x)) \ 1 = (x / (y \ 1)) \ (1 / ((y \ 1) * (x \ 1))). R(x,y \ 1,z) \ x = x * L(x \ 1,y,z \ 1). x * L(x \ 1,y,z \ 1) = R(x,y \ 1,z) \ x. x * L(x \ 1,y \ 1,z \ 1) = R(x,y,z) \ x. x * y != R(x,z,u) \ x | R(x,z,u) \ 1 = y. R(x,y,z) \ 1 = L(x \ 1,y \ 1,z \ 1). L(x \ 1,y \ 1,z \ 1) = R(x,y,z) \ 1. x \ y != y * L(y \ 1,z,u \ 1) | R(y,z \ 1,u) = x. R(x,(y \ 1) \ 1,z) = R(x,y,z). x / y != R(z,(u \ 1) \ 1,w) | R(z,u,w) * y = x. R(x,y,z) * (((y \ 1) \ 1) * z) = (x * ((y \ 1) \ 1)) * z. L(x,y \ 1,z \ 1) = R(x \ 1,y,z) \ 1. x / L(x,y \ 1,z \ 1) = x * R(x \ 1,y,z). x \ y != z / L(z,u \ 1,w \ 1) | y / (z * R(z \ 1,u,w)) = x. x / (x * R(x \ 1,y,z)) = L(x,y \ 1,z \ 1). (x * ((y \ 1) \ 1)) * z != u * (((y \ 1) \ 1) * z) | R(x,y,z) = u. R(x,y,K(y \ 1,z)) = R(x,K(y \ 1,z),y). R(x,K(y \ 1,z),y) = R(x,y,K(y \ 1,z)). (x * y) * L(L(T(x \ 1,x * y),x,y),z,u) = (x * L(x \ 1,z,u)) * y. ((x / y) * (y * (x \ 1))) \ 1 = a(x / y,y,L(x \ 1,z,x)). a(x / y,y,L(x \ 1,z,x)) = ((x / y) * (y * (x \ 1))) \ 1. x != (y * (z * (u \ 1))) \ 1 | (u * (z \ 1)) * (y \ 1) = x. (x * (y \ 1)) * ((x / y) \ 1) = a(x / y,y,L(x \ 1,z,x)). a(x / y,y,L(x \ 1,z,x)) = (x * (y \ 1)) * ((x / y) \ 1). x != (y * (z \ 1)) * ((y / z) \ 1) | (y / z) \ (y * (z \ 1)) = x. (x / y) \ (x * (y \ 1)) = a(x / y,y,L(x \ 1,z,x)). a(x / y,y,L(x \ 1,z,x)) = (x / y) \ (x * (y \ 1)). a(x / y,y,x \ 1) = (x / y) \ (x * (y \ 1)). (x / y) \ (x * (y \ 1)) = a(x / y,y,x \ 1). L(R(x \ 1,y,z),x,u) * u = (x * R(x \ 1,y,z)) * (x \ u). x != y * (z \ u) | R(z / y,y,z \ u) \ u = x. R(x / (x * R(x \ 1,y,z)),x * R(x \ 1,y,z),x \ u) \ u = L(R(x \ 1,y,z),x,u) * u. x \ y != z | y / T(x,y) = z. (((x * y) / L(z,y,x)) * z) / T(x * y,((x * y) / L(z,y,x)) * z) = ((x * (y * z)) / z) \ (x * y). x \ ((((x / y) * y) / L(z,y,x / y)) * z) = (((x / y) * (y * z)) / z) \ ((x / y) * y). (x * y) \ ((((x * y) / z) * y) * (y \ z)) = ((x * (y * (y \ z))) / (y \ z)) \ (x * y). ((x * (y * (y \ z))) / (y \ z)) \ (x * y) = (x * y) \ ((((x * y) / z) * y) * (y \ z)). x * L(x \ y,x,T(x,z) \ x) = L(y,T(x,z) \ x,x). (x * ((y * z) * K(u \ 1,u))) \ (K(w \ 1,w) * ((x * y) * z)) = L(a(x,y,z),x * (y * z),K(w \ 1,w)). T(x,(y * L(y \ 1,z,u)) * (y \ w)) != v5 | T(x,w * L(w \ (y \ w),z,u)) = v5. (x \ 1) * (y * T(R(x,z,u),y * (x \ 1))) = R(x,z,u) * ((x \ 1) * y). (x \ 1) * (y * L(T(x,(x \ 1) * y),z,u)) = L(x,z,u) * ((x \ 1) * y). x * ((x \ y) * ((z * ((x \ y) \ 1)) / z)) = y * ((z * (y \ x)) / z). x * K(y,(x \ z) \ 1) = z * ((y * (z \ x)) / y). x != y * ((z * u) / z) | y * (u * K(z,u)) = x. x * ((x \ y) * K(z,x \ y)) = y * K(z,(y \ x) \ 1). x \ (y * ((z * (y \ x)) / z)) = K(z,(x \ y) \ 1). L(K(x,y \ z),y \ z,y) = K(x,(z \ y) \ 1). (K(x,y) * z) * (K(u,T(w,v5)) * v6) = (z * K(x,y)) * (K(u,w) * v6). (x * (y * R(y \ 1,z,u))) * y = (x * y) * (y * R(y \ 1,z,u)). x * y != (z * (u * R(u \ 1,w,v5))) * u | x \ ((z * u) * (u * R(u \ 1,w,v5))) = y. (x * ((y * R(y \ 1,z,u)) * y)) \ ((x * y) * (y * R(y \ 1,z,u))) = a(x,y * R(y \ 1,z,u),y). T(x,y) * R((y \ (x * y)) \ y,z,u) = T(x * R(x \ y,z,u),y). T(x,y) * R(T(x,y) \ y,z,u) = T(x * R(x \ y,z,u),y). T(x,x * y) * R(T(x,x * y) \ (x * y),z,u) = T(x * R(y,z,u),x * y). x * ((x * R(x \ 1,y,z)) * u) = (x * R(x \ 1,y,z)) * (x * u). (x * R(x \ 1,y,z)) * (x * u) = x * ((x * R(x \ 1,y,z)) * u). x * y != (z * R(z \ 1,u,w)) * (z * v5) | x \ (z * ((z * R(z \ 1,u,w)) * v5)) = y. ((x * y) * (x * R(x \ 1,z,u))) \ (x * ((x * R(x \ 1,z,u)) * y)) = K(x * R(x \ 1,z,u),x * y). ((x / y) * R((x / y) \ 1,z,u)) * x = (x * (y \ x)) * R(x \ y,z,u). (x * (y * L(y \ 1,z,u))) * y = (x * y) * (y * L(y \ 1,z,u)). (x \ 1) * (y * L(T(x,y),z,u)) = L(x,z,u) * ((x \ 1) * y). (x \ 1) * (L(x,y,z) * u) = L(x,y,z) * ((x \ 1) * u). L(x,y,z) * ((x \ 1) * u) = (x \ 1) * (L(x,y,z) * u). L(1 / x,y,z) * (x * u) = ((1 / x) \ 1) * (L(1 / x,y,z) * u). ((1 / x) \ 1) * (L(1 / x,y,z) * u) = L(1 / x,y,z) * (x * u). x * ((x \ 1) * (L(x,y,z) * u)) = L(x,y,z) * L(u,x,x \ 1). L(L(x,y,z) * u,x,x \ 1) = L(x,y,z) * L(u,x,x \ 1). x * y != L(z,u,w) * L(v5,z,z \ 1) | L(L(z,u,w) * v5,z,z \ 1) / y = x. L(L(x,y,z) * (L(x,y,z) \ (u \ L(x,y,z))),x,x \ 1) / (u \ L(x,y,z)) = u * L(u \ 1,x,x \ 1). ((1 / x) \ 1) * (L(1 / x,y,z) * u) = L(x \ 1,y,z) * (x * u). x * (L(1 / x,y,z) * u) = L(x \ 1,y,z) * (x * u). L(x \ 1,y,z) * (x * u) = x * (L(1 / x,y,z) * u). L(x \ 1,y,z) * (x * u) = x * (L(x \ 1,y,z) * u). (x \ y) * ((y \ x) * z) = (y \ x) * (L((y \ x) \ 1,y \ x,y) * z). (x \ y) * (L((x \ y) \ 1,x \ y,x) * z) = (y \ x) * ((x \ y) * z). (x \ y) * ((y \ x) * z) = (y \ x) * ((x \ y) * z). T((x \ y) \ ((y \ x) * z),y \ x) = (y \ x) * T((x \ y) \ z,y \ x). x * (((y * x) \ y) * z) = ((y * x) \ y) * ((y \ (y * x)) * z). ((x * y) \ x) * ((x \ (x * y)) * z) = y * (((x * y) \ x) * z). ((x * y) \ x) * ((x \ (x * y)) * z) = y * ((x \ (x / y)) * z). (x \ (x / y)) * ((x \ (x * y)) * z) = y * ((x \ (x / y)) * z). (x \ (x / y)) * (y * z) = y * ((x \ (x / y)) * z). (x \ (x / y)) * (z * y) = y * ((x \ (x / y)) * T(z,y)). x * ((y \ (y / x)) * T(z,x)) = (y \ (y / x)) * (z * x). ((x * (y \ x)) * R(x \ y,z,u)) / x = (x / y) * R((x / y) \ 1,z,u). x / ((x / R(x \ y,z,u)) * (x \ y)) = (x / y) * R((x / y) \ 1,z,u). x / (R(y / x,z,u) \ y) = (x / y) * R((x / y) \ 1,z,u). (x / y) * R((x / y) \ 1,z,u) = x / (R(y / x,z,u) \ y). x / y != (z / u) * R((z / u) \ 1,w,v5) | (z / (R(u / z,w,v5) \ u)) * y = x. (x / (R(y / x,z,u) \ y)) * y = x * R(x \ y,z,u). ((x * (y * (z * K(u \ 1,u)))) \ ((x * y) * z)) * K(w \ 1,w) = a(x,y,z * K(u \ 1,u)). (L(x,T(y,z),z) * (y * z)) \ (x * (y * z)) = a(z,T(y,z),T(x,y * z)). x != ((y * K(z * u,y)) * z) * u | (z * u) * R(y,z,u) = x. (x * y) * R(z,x,y) = ((x * y) * z) * a(z * K(x * y,z),x,y). ((x * y) * z) * a(z * K(x * y,z),x,y) = (x * y) * R(z,x,y). (x \ ((x \ 1) \ y)) \ (1 \ y) = a(x \ ((x \ 1) \ y),x,x \ 1). a(x \ ((x \ 1) \ y),x,x \ 1) = (x \ ((x \ 1) \ y)) \ (1 \ y). a(x \ ((x \ 1) \ y),x,x \ 1) = (x \ ((x \ 1) \ y)) \ y. L(x \ (y \ 1),y,y \ 1) / (x \ (y \ 1)) = x * L(x \ 1,y,y \ 1). a(x \ (y \ 1),y,y \ 1) = x * L(x \ 1,y,y \ 1). a(x \ (y \ 1),y,y \ 1) = x * (y * ((x * y) \ 1)). x != y * (z * ((y * z) \ 1)) | a(z,z \ 1,y) = x. a(x,x \ 1,y) = a(y \ (x \ 1),x,x \ 1). a(x \ (y \ 1),y,y \ 1) = a(y,y \ 1,x). (x * y) * L(T(L(x \ 1,x,y),x * y),z,u) = (x * L(x \ 1,z,u)) * y. L(L(x \ 1,x,y),z,u) * (x * y) = (x * L(x \ 1,z,u)) * y. L(L(L(x \ 1,x,y) \ 1,L(x \ 1,x,y),y),z,u) * (x \ y) = (L(x \ 1,x,y) * L(L(x \ 1,x,y) \ 1,z,u)) * y. (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). T(x,y) * R(x \ K(y,x),z,u) = T(x * R(x \ 1,z,u),y). T(x,y) * R(T(x \ 1,y),z,u) = T(x * R(x \ 1,z,u),y). T(x,y) * (L(T(x,y),z,u) \ 1) = T(x * R(x \ 1,z \ 1,u \ 1),y). T(x * R(x \ 1,y \ 1,z \ 1),u) = T(x,u) * (L(T(x,u),y,z) \ 1). T(1 / x,y) * R(T(x,y),z,u) = T((1 / x) * R((1 / x) \ 1,z,u),y). T((1 / x) * R((1 / x) \ 1,y,z),u) = T(1 / x,u) * R(T(x,u),y,z). x != y * (L(y,z,u) \ 1) | L(y,z,u) \ y = x. L(T(x,y),z,u) \ T(x,y) = T(x * R(x \ 1,z \ 1,u \ 1),y). T(x * R(x \ 1,y \ 1,z \ 1),u) = L(T(x,u),y,z) \ T(x,u). T(x * (L(x,y,z) \ 1),u) = L(T(x,u),y,z) \ T(x,u). T(L(x,y,z) \ x,u) = L(T(x,u),y,z) \ T(x,u). L(T(x,y),z,u) \ T(x,y) = T(L(x,z,u) \ x,y). L(T(x,y),z,u) \ T(x,x * y) = T(L(x,z,u) \ x,x * y). L(T(L(x,y,z) \ x,u),L(T(x,u),y,z),u) = (u * L(T(x,u),y,z)) \ (x * u). L(T(x,y),z,u) \ T(x,y) = T(L(x,z,u) \ x,x * y). T(L(x,y,z) \ x,x * u) = L(T(x,u),y,z) \ T(x,u). x != L(T(y,z),u,w) \ T(y,z) | T(L(y,u,w) \ y,z) = x. T(L(x,y,z) \ x,u) = T(L(x,y,z) \ x,x * u). T(L(x,y,z) \ x,x * u) = T(L(x,y,z) \ x,u). T((1 / x) * R((1 / x) \ 1,y,z),u) = T(x \ 1,u) * R(T(x,u),y,z). x != T(y \ 1,z) * R(T(y,z),u,w) | T(y,z) \ R(T(y,z),u,w) = x. T(x,y) \ R(T(x,y),z,u) = T((1 / x) * R((1 / x) \ 1,z,u),y). T((1 / x) * R((1 / x) \ 1,y,z),u) = T(x,u) \ R(T(x,u),y,z). T((x \ 1) * R((1 / x) \ 1,y,z),u) = T(x,u) \ R(T(x,u),y,z). T((x \ 1) * R((x \ 1) \ 1,y,z),u) = T(x,u) \ R(T(x,u),y,z). T(x \ R(x,y,z),u) = T(x,u) \ R(T(x,u),y,z). T(x,y) \ R(T(x,y),z,u) = T(x \ R(x,z,u),y). T(x,y) \ R(T(x,y),z,u) != w | T(x \ 1,y) * R(T(x,y),z,u) = w. T(x \ 1,y) * R(T(x,y),z,u) = T(x \ R(x,z,u),y). x * ((x * (y * R(y \ 1,z,u))) \ x) = (x / y) / R(x \ (x / y),z,u). (x / y) / R(x \ (x / y),z,u) != w | x / (y * R(y \ 1,z,u)) = w. x / (y * R(y \ 1,z,u)) = R((x / y) / x,z,u) \ (x / y). R((x / y) / x,z,u) \ (x / y) = x / (y * R(y \ 1,z,u)). R(x / (x * y),z,u) \ (x / y) = x / (y * R(y \ 1,z,u)). 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). T(x,y) * L(x \ T(y,x),z,u) = T(x * L(x \ y,z,u),y). T(x,y) * L(x \ T(z,x),u,w) != v5 | T(T(x,y) * L(x \ z,u,w),x) = v5. 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). 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). (x * y) * (x * R(x \ 1,z,u)) = x * (T(x * y,x) * R(T(x * y,x) \ y,z,u)). x * (T(x * y,x) * R(T(x * y,x) \ y,z,u)) = (x * y) * (x * R(x \ 1,z,u)). (x \ (x / y)) * R((x / (y * x)) \ 1,z,u) = (x * R(T(y,x),z,u)) / (y * x). (x \ (x / y)) * R(((y \ x) / x) \ 1,z,u) = ((y \ x) * R(T(y,x),z,u)) / x. T(x,x * y) * R(x \ T(x * y,x),z,u) = T(x * R(y,z,u),x * y). T(x,y) * R(x \ T(z,x),u,w) != v5 | T(T(x,y) * R(x \ z,u,w),x) = v5. T(T(x,x * y) * R(x \ (x * y),z,u),x) = T(x * R(y,z,u),x * y). T(T(x,x * y) * R(y,z,u),x) = T(x * R(y,z,u),x * y). 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). x \ y != T(z * R(u,w,v5),z * u) | y / (R(u,w,v5) * T(z,u)) = x. (x * R(y,z,u)) / (R(y,z,u) * T(x,y)) = K(x * y,x * R(y,z,u)). (x \ (x / y)) * R((x \ (x / y)) \ 1,z,u) = (x * R(T(y,x),z,u)) / (y * x). (x \ (x / y)) * R((x \ (x / y)) \ 1,z,u) = ((y \ x) * R(T(y,x),z,u)) / x. (x \ (x / y)) * R((x \ (x / y)) \ 1,z,u) = (R(y,z,u) * x) / (y * x). (x \ (x / y)) * R((x \ (x / y)) \ 1,z,u) != w | (R(y,z,u) * x) / (y * x) = w. (R(x,y,z) * u) / (x * u) = ((x \ u) * R(T(x,u),y,z)) / u. ((x \ y) * R(T(x,y),z,u)) / y = (R(x,z,u) * y) / (x * y). (R(x,y,z) * (x \ u)) / u = (R(x,y,z) * u) / (x * u). x / (y * (R(y,z,u) \ x)) = (R(y,z,u) * x) / (y * x). (R(x,y,z) * u) / (x * u) = u / (x * (R(x,y,z) \ u)). L(T(L(x,y,z) \ x,u),L(x,y,z),z * y) = T((z * (y * x)) \ ((z * y) * x),x * u). (((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) * ((z * ((x * y) \ u)) / z) != w | x * (y * ((z * (y \ (x \ u))) / z)) = w. x * (y * ((z * (y \ (x \ (u * y)))) / z)) = (x * ((z * (x \ u)) / z)) * y. x * (y * ((x \ (z * y)) / y)) = (x * ((y * (x \ z)) / y)) * y. (x * ((y * (x \ z)) / y)) * y = x * (y * ((x \ (z * y)) / y)). ((x * y) * ((z * ((x * y) \ x)) / z)) * z = (x * y) * (z * (L(y \ z,y,x) / z)). x * ((y * z) * T((y * z) \ y,u)) = (x * y) * K(L(z,y,x) \ 1,u). (x * y) * K(L(z,y,x) \ 1,u) = x * ((y * z) * T((y * z) \ y,u)). (x * y) * K(L(z,y,x) \ 1,u) = x * (y * K(z \ 1,u)). L(K(x \ 1,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). L(K(x,y),z,u) = K(L(x \ 1,z,u) \ 1,y). K(L(x \ 1,y,z) \ 1,u) = L(K(x,u),y,z). L(T(K(x,y),z),u,w) = K(L(T(1 / x,v5),u,w) \ 1,y). T(x,y * L(K(z,u),w,v5)) = T(x,y). K(x * L(K(y,z),u,w),v5) = K(x,v5). K(x,y * L(K(z,u),w,v5)) = K(x,y). K(x,L(K(y,z),u,w) * v5) = K(x,v5). T(x,y * (z * K(u,w))) = T(x,y * z). K(x * (y * K(z,u)),w) = K(x * y,w). K(x,y * (z * K(u,w))) = K(x,y * z). K(x,y * (K(z,u) * w)) = K(x,y * w). T(x,y * (z / u)) = T(x,y * (u \ z)). T(x,y * (T(z,u) * w)) = T(x,y * (z * w)). K(x * (y \ T(z,u)),w) = K(x * (y \ z),w). T(x,(y / z) * u) = T(x,u * (z \ y)). K(x,L(y \ 1,z,u)) = L(K(y,x),z,u). 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. T(x,y * (T(z \ 1,u) * (w \ 1))) = T(x,y * ((w * z) \ 1)). T(x,y * (((z / u) \ 1) * w)) = T(x,y * (((u \ z) \ 1) * w)). K(x * (y \ (z \ u)),w) = K(x * (y \ (u / z)),w). K(x * (y \ (z / u)),w) = K(x * (y \ (u \ z)),w). L(T(K(x,y),z),u,K(x,w)) = K(T(1 / x,K(x,w) * u) \ 1,y). T(x,y * ((z * T(u,w)) \ 1)) = T(x,y * ((z * u) \ 1)). x != K(T(1 / y,z) \ 1,u) | T(K(y,u),w) = x. T(K(x,y),z) = L(T(K(x,y),u),w,K(x,v5)). L(K(x,y),z,K(x,u)) = K(x,y). L(K(x,y),z,u) != w | (u * (K(x,y) * z)) / (u * z) = w. (K(x,y) * (K(x,z) * u)) / (K(x,y) * u) = K(x,z). L(K(x,y),z,K(u,x)) = K(x,y). K(x,y) * z = K(x,z) * (K(x,y) * T(z,x)). K(x,y) * (K(x,z) * T(y,x)) = K(x,z) * y. x \ y != L(K(z,u),w,K(v5,z)) | x * K(z,u) = y. (K(x,y) * z) * K(y,u) = K(x,y) * (z * K(y,u)). x / y != L(K(z,u),w,K(v5,z)) | K(z,u) * y = x. K(x,y) * (K(z,x) * u) = K(z,x) * (K(x,y) * u). K(x,y) * z != K(u,w) * y | T(K(u,w) * y,x) = z. T(K(x,y) * z,x) = K(x,y) * T(z,x). K(x,y) * z != T(K(x,y) * u,w) | K(y,x) * T(K(y,x) \ u,w) = z. K(x,y) * T(K(x,y) \ z,y) = T(z,y). T(x,y) = K(y,z) * T(K(y,z) \ x,y). K(x,y) * T(K(x,y) \ z,x) = T(z,x). T(x,y) * K(y,z) = T(x * K(y,z),y). T(x * K(y,z),y) = T(x,y) * K(y,z). T((x / y) * K(y,z),y) = (y \ x) * K(y,z). T((x / y) * K(y,z),y) != u * K(y,z) | y \ x = u. L(K(x,y),z,K(y,u)) = K(x,y). L(x \ L(y \ (y * x),z,u),x,y) = (y \ (y / x)) * L(((y * x) \ y) \ 1,z,u). (x * K(y,z \ 1)) * y = (x * z) * (y * (L(z \ y,z,x) / y)). (x * y) * (z * (L(y \ z,y,x) / z)) = (x * K(z,y \ 1)) * z. (x * y) * L(z * ((y \ z) / z),y,x) = (x * K(z,y \ 1)) * z. x * (y * (z * ((y \ z) / z))) = (x * K(z,y \ 1)) * z. x * T(y,z \ 1) = (x * K(y,z \ 1)) * y. (x * K(y,z \ 1)) * y = x * T(y,z \ 1). R(x,K(y,z \ 1),y) = x. R(x,K(y,z),z) = x. R(x,K(y \ 1,z),y) = x. R(x,K(y \ 1,z),y) != u | R(x,y,K(y \ 1,z)) = u. R(x,y,K(y \ 1,z)) = x. R(x,y,K(z,y)) = x. R(x,y,K(z,u)) != w | L(x,y,K(z,u)) = w. L(x,y,K(z,y)) = x. x / y != R(z,u,K(w,u)) | z * y = x. (x / y) * (y * K(z,y)) = x * K(z,y). (K(x,y) * y) * z = K(x,y) * (y * z). R(x,y * z,K(z,y)) = x. R(x,y,K(y,z)) = x. L(x,y,K(z \ u,u)) != w | L(x,y,K(u,z)) = w. L(x,y,K(y,z)) = x. L(x,y,K(z,T(u,w))) != v5 | L(x,y,K(z,u)) = v5. L(x,T(y,z),K(u,y)) = x. L(x,y,T(y,z) \ y) = x. L(x,y * z,K(z,y)) = x. L(x,y * (z * u),K(u,y * z)) = x. x / y != R(z,u,K(u,w)) | z * y = x. x * T(y,z) = (x * y) * K(y,z). (x * y) * K(y,z) = x * T(y,z). L(x,y / z,K(y,z)) = x. T(x,y) * z = K(x,y) * (x * z). K(x,y) * (x * z) = T(x,y) * z. x * (y * z) = (x * (z * y)) * K(y,z). (x * (y * z)) * K(z,y) = x * (z * y). x * y = K(z,y) * (x * T(y,z)). K(x,y) * (z * T(y,x)) = z * y. x * (x \ y) = L(y,T(x,z) \ x,x). L(x,T(y,z) \ y,y) = y * (y \ x). L(L(x,y,z),z * y,K(y,z)) != u | (y * z) \ (K(y,z) * (z * (y * x))) = u. (x * y) \ (K(x,y) * (y * (x * z))) = L(z,x,y). L(x,y,z) = (y * z) \ (K(y,z) * (z * (y * x))). x \ y != L(z,u * w,K(w,u)) | x * z = y. (x * y) * L(z,x,y) = K(x,y) * (y * (x * z)). K(x,y) * (y * (x * z)) = (x * y) * L(z,x,y). (x * y) * z = K(x,y) * ((y * x) * z). K(x,y) * ((y * x) * z) = (x * y) * z. (x * y) * ((y * x) \ z) = z * K(x,y). x / y != L(z,u * w,K(w,u)) | z * y = x. x * (y * z) = K(y,z) * (x * (z * y)). K(x,y) * (z * (y * x)) = z * (x * y). (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) \ x) \ 1,z) = K(y,z). L(K(x,y),x,z) = K(x,y). x * K(y \ x,z) = y * T(y \ x,z). x * T(x \ y,z) = y * K(x \ y,z). T(K(x,y),z) * (u * x) = u * T(x,y). K(x,y) * (z * x) = z * T(x,y). (x * y) \ (x * T(y,z)) = K(y,z). x * y != (z / u) * u | x \ z = y. ((x / T(y,z)) * y) \ x = K(y,z). (x * y) * K(y,z) != u | (x * K(y,z)) * y = u. (x * K(y,z)) * y = x * T(y,z). x * K(T(y,z),u) != w | K(y,u) * x = w. K(x,y) * (z * T(x,u)) = z * T(T(x,u),y). x * y != (z * u) * K(u,w) | (z * T(u,w)) / y = x. (x * T(y,z)) / y = x * K(y,z). x * y != (z * u) * K(u,w) | x \ (z * T(u,w)) = y. (x * K(y,z)) \ (x * T(y,z)) = y. L(K(x,y),z * x,u) = (u * (z * x)) \ (u * (z * T(x,y))). (x * (y * z)) \ (x * (y * T(z,u))) = L(K(z,u),y * z,x). (x * y) * K(y,z) != x * u | T(y,z) = u. K(x,y) * ((z * T(x,y)) \ K(x,y)) = (z * x) \ K(x,y). ((x * y) * z) * K(y * z,u) = R(x,y,z) * T(y * z,u). x != K(y,z) | K(z,y) \ 1 = x. K(x,y) \ 1 = L(K(y,x),y,z). L(K(x,y),x,z) = K(y,x) \ 1. a(x,y,K(y,z)) = 1. a(x,y,K(z,y)) = 1. L(K(x,y),y,z) = K(x,y). a(x,T(y,z),K(u,y)) = 1. L(K(x,y \ z),y \ z,y) != u | K(x,(z \ y) \ 1) = u. K(x,(y \ z) \ 1) = K(x,z \ y). L(K(x,y),T(y,z),u) = K(x,y). L(K(x,y),x,z) != u | K(x,y) = u. L(K(x,y),T(y,x),z) != u | (z * T(y,x)) \ (z * y) = u. (x * T(y,z)) \ (x * y) = K(z,y). x \ y != L(K(z,u),T(u,w),v5) | y / K(z,u) = x. (x * y) / K(z,y) = x * T(y,z). x \ y != L(K(z,u),T(u,w),v5) | x * K(z,u) = y. (x * T(y,z)) * K(z,y) = x * y. (x * T(y,z)) * L(K(u,y),w,v5) = x * (T(y,z) * L(K(u,y),w,v5)). T(x,y) \ (K(x,y) * z) = x \ z. (x * y) * K(x,z) = T(x,z) * y. K(x,y) * z = T(x,y) * (x \ z). T(x,y) * (x \ z) = K(x,y) * z. (T(x,y) * z) / (x * z) = K(x,y). K(x,y) \ z = x * (T(x,y) \ z). x * (T(x,y) \ z) = K(x,y) \ z. K(x,y) * (x * z) != u | x * (z * K(x,y)) = u. x * (y * K(x,z)) = T(x,z) * y. x * y != K(z,u) * (z * w) | x \ (T(z,u) * w) = y. x \ (T(x,y) * z) = z * K(x,y). x \ (T(x,y) * z) = K(x,y) * z. R(K(x,y),x * z,u) = ((T(x,y) * z) * u) / ((x * z) * u). ((T(x,y) * z) * u) / ((x * z) * u) = R(K(x,y),x * z,u). (T(x,y) * z) \ (K(x,y) * (x * (z * u))) = L(L(u,z,x),x * z,K(x,y)). x * y != K(z,u) * (w * T(u,z)) | x \ (w * u) = y. x \ (y * z) = K(x,z) * (x \ (y * T(z,x))). K(x,y) * (x \ (z * T(y,x))) = x \ (z * y). L(L(T(x,y) \ 1,T(x,y),z),z * T(x,y),K(y,x)) = (z * x) \ (K(y,x) * z). K(x,(y * z) \ y) = K(z,x). K((x \ y) \ 1,z) = K(y \ x,z). K((x / y) \ 1,z) = K(y / x,z). K(x,y \ z) = K(z \ y,x). K(x \ y,z) = K(z,y \ x). K(x,(y * (z * u)) \ (y * z)) = K(L(u,z,y),x). K(x,((y * z) * u) \ (y * (z * u))) = K(a(y,z,u),x). (x * y) * K(z,(u * y) \ u) = x * T(y,z). K(x \ 1,y \ z) = K(x,z \ y). K(x / y,z) = K(z,x \ y). K(x,y) = K(y,(x * z) \ z). K(x,(y * z) \ z) = K(y,x). x \ y != K(z \ u,w) | x * K(w,u \ z) = y. (x \ y) * K(z,y \ x) = T(x \ y,z). K(x,y \ (z \ y)) != u | K(z,x) = u. (x \ y) * K(z,y \ x) != u | T(x \ y,z) = u. T(x,(y \ z) \ 1) = x * K(x,z \ y). K(x,y \ z) != u | K(z \ y,x) = u. K(x,y) * (z * x) != u | (K(x,y) * z) * x = u. (K(x,y) * z) * x = z * T(x,y). K(x * y,z) * ((u * x) * y) = R(u,x,y) * T(x * y,z). K(x,y) * ((z * x) * T(x,u)) = (z * T(x,u)) * T(x,y). (x * y) * K(y,z) != u | u = x * T(y,z). (x * y) * K(y,z) != u | x * T(y,z) = u. x * y != (z * u) * T(L(w,u,z),v5) | x \ (z * (u * T(w,v5))) = y. ((x * y) * K(L(z,y,x),u)) \ (x * (y * T(z,u))) = L(z,y,x). (x * (y * K(z,u))) \ (x * (y * T(z,u))) != w | L(z,y * K(z,u),x) = w. (x * (y * K(z,x))) * z = (x * y) * T(z,x). (x * K(y,z)) \ (x * T(y,z)) != u | L(y,K(y,z),x) = u. L(x,K(x,y),z) = x. K(x,1 / (y \ z)) = K(x,z \ y). x \ y != K(z,(u \ w) \ 1) | x * K(z,w \ u) = y. x * K(y,z \ x) = z * ((y * (z \ x)) / y). K(x,((y * z) \ y) \ 1) = K(x,z). K(x,L(y \ z,y,u) \ 1) = K(x,(u * z) \ (u * y)). (x * T(x \ y,z)) \ y = K(z,x \ y). x * K(y,z) = (x / T(z,y)) * z. (x / T(y,z)) * y = x * K(z,y). x * y != (((z * u) / w) * w) / u | z / y = x. x / T(y,z) = (x * K(z,y)) / y. (x * K(y,z)) / z = x / T(z,y). x * K(y,z) != (u * K(y,z)) * z | u * z = x. x * y = (x * K(z,y)) * T(y,z). (x * K(y,z)) * T(z,y) = x * z. x / y != (z * T(u,w)) * K(w,u) | (z * u) * y = x. (x * y) * z = (x * T(y,z)) * T(z,y). (x * T(y,z)) * T(z,y) = (x * y) * z. T(x,y) \ z != x \ (T(x,y) \ u) | x \ u = z. x \ y = K(x,z) * (T(x,z) \ y). K(x,y) * (T(x,y) \ z) = x \ z. x * K(y,z) = T(y,z) * (y \ x). T(x,y) * (x \ z) = z * K(x,y). ((x \ 1) * y) * K(z,x) = T(x \ 1,z) * y. (x \ y) * T((x \ y) \ y,z) = K(x,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 = (T(x,z) \ y) * K(x,z). (T(x,y) \ z) * K(x,y) = x \ z. (x / y) * (z * K(y \ x,u)) = T(x / y,u) * z. x * (y * K(z,x)) = T(x,z \ x) * y. T(x,y \ x) * z = x * (z * K(y,x)). x * T(T(x,y),z) = T(x,y) * T(x,z). T(x,y) * T(x,z) = x * T(T(x,y),z). x * (y * z) = T(x,z) * (y * T(z,x)). T(x,y) * (z * T(y,x)) = x * (z * y). x * (y * K(x,z)) != u | u = T(x,z) * y. x * (y * K(x,z)) != u | T(x,z) * y = u. x * y != (z / u) \ (w * (w \ z)) | x \ u = y. K(x / y,z) \ y = T(x / y,z) \ x. T(x / y,z) \ x = K(x / y,z) \ y. x \ y != K((z \ u) \ 1,w) | x * K(u \ z,w) = y. x * K((y * z) \ x,u) = y * (z * T(z \ (y \ x),u)). K(x \ 1,y) = K(z \ (z / x),y). K(x \ (x / y),z) = K(y \ 1,z). K(L(x \ y,x,z) \ 1,u) = K((z * y) \ (z * x),u). K(x \ y,z) != u | K(z,y \ x) = u. x * (y * K((x \ 1) \ y,z)) = T(x * y,z). x * K((y * z) \ x,y) = z * ((y \ (z \ x)) * y). L(K(x \ y,z),u,w) = K(L(y \ x,u,w) \ 1,z). K(L(x \ y,z,u) \ 1,w) = L(K(y \ x,w),z,u). x != K(y / z,u) | K(z \ y,u) = x. K(x \ y,z) = K((x / y) \ 1,z). K((x / y) \ 1,z) = K(x \ y,z). K(((x * y) / (x * z)) \ 1,u) != w | (x * (y * T(y \ z,u))) / (x * z) = w. (x * (y * T(y \ z,u))) / (x * z) = K((x * z) / (x * y),u). x != K(y,z) | L(K(y,z),z,u) = x. L(K(x,y),y,z) = K(x,((u * y) \ u) \ 1). 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 * K(y,z)) \ x = K(z,y). x / K(y,z) = x * K(z,y). (x * K(y,z)) * K(z,y) = x. (x * y) \ x != z | (y \ x) / x = z. (K(x,y) \ z) / z = K(y,x). (x * y) \ x != z | x / (y * x) = z. x / (K(y,z) * x) = K(z,y). x \ y != K(z,u) | K(z,u) \ y = x. K(x,y) \ z = z * K(y,x). x \ (K(y,z) * u) != K(y,z) | u = x. x = (K(y,z) * x) * K(z,y). (K(x,y) * z) * K(y,x) = z. K(x,y) * (z * K(y,x)) = z. x / y != (z * K(u,w)) \ z | K(w,u) * y = x. K(x,y) * z = K(y,x) \ z. K(x,y) \ z = K(y,x) * z. K(x,y) * (K(y,x) * z) = z. x * K(y,z) != u | x = u * K(z,y). x * K(y,z) != u | u * K(z,y) = x. (T(x,y) * z) \ (x * z) = K(y,x). x / y != (z * u) * K(z,w) | (T(z,w) * u) * y = x. (T(x,y) * z) * K(y,x) = x * z. x \ y != z / K(u,w) | y / (z * K(w,u)) = x. x / (x * K(y,z)) = K(z,y). (x * K(y,z)) \ x != u | u = K(z,y). (x * K(y,z)) \ x != u | K(z,y) = u. x \ y != (z * K(u,w)) * K(w,u) | x * z = y. x * y = T(x,z) * (y * K(z,x)). T(x,y) * (z * K(y,x)) = x * z. x / y != (z * K(u,w)) * K(w,u) | z * y = x. x * L(y,K(z,u),x * K(u,z)) = (x * K(u,z)) * (K(z,u) * y). x * y != (z * K(u,w)) * K(w,u) | x \ z = y. K(x / y,z) \ u = u * K(z,y \ x). 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)). K(x,y) * z != u | u * K(y,x) = z. x != y * K(z,u) | K(u,z) * x = y. x * K(y,z) != u | K(z,y) * u = x. x / (y * z) != K(y,u) | T(y,u) * z = x. T(x,y) * z = K(y,x) \ (x * z). K(x,y) \ (y * z) = T(y,x) * z. (K(x,y) * (K(x,z) * u)) / w != K(x,z) | K(x,y) * u = w. 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) != z / u | K(y,x) * z = u. K(x,y) * z != u | K(y,x) * u = z. K(x,y) * (K(y,x) * z) != u | u = z. K(x,y) \ z != u | u = K(y,x) * z. K(x,y) \ z != u | K(y,x) * z = u. T(K(x,y),z) = (K(y,x) * z) \ z. (K(x,y) * z) \ z = T(K(y,x),z). K(x,y) \ z != u | x * (T(x,y) \ z) = u. x * (T(x,y) \ z) = z * K(y,x). K(x,y) * (z * K(y,x)) != u | u = z. x != K(y,z) * T(y,u) | T(y,z) * K(y,u) = x. T(x,y) * K(x,z) = K(y,x) \ T(x,z). K(x,y) \ T(y,z) = T(y,x) * K(y,z). x * (T(x,y) \ z) = K(y,x) * z. (K(x,y) * z) * K(z,u) = T(K(y,x) \ z,u). L((K(x,y) * z) \ u,K(x,y) * z,K(y,x)) = z \ (K(y,x) * u). (x * y) \ ((x * K(z,u)) * (K(u,z) * y)) != w | a(x,K(z,u),K(u,z) * y) = w. (T(x,y) * z) * T(y,x) = (x * z) * y. K(x,y) * (y \ z) = T(y,x) \ z. (x \ y) * K(z,x) = T(x,z) \ y. T(x,y \ z) = T(x,T(y,u) \ z). T(x,T(y,z) \ u) = T(x,y \ u). K(x,y \ z) = K(x,T(y,u) \ z). K(x,T(y,z) \ u) = K(x,y \ u). (x * K(y,z)) * K(y \ x,u) = T(y,z) * T(y \ x,u). T(x,y * (z \ u)) = T(x,y * (T(z,w) \ u)). T(x,y * (T(z,u) \ w)) = T(x,y * (z \ w)). K(x \ 1,y) = K((x * z) \ z,y). K((x * y) \ y,z) = K(x \ 1,z). x \ y != (T(z,u) * w) * K(u,z) | x * (z * w) = y. x * (y * z) = T(x,y) * (T(y,x) * z). T(x,y) * (T(y,x) * z) = x * (y * z). x != y * ((y \ 1) * z) | L(z,y \ 1,y) = x. L(x,y \ 1,y) = T(y,z) * (((y \ 1) * x) * K(z,y)). T(x,y) * (((x \ 1) * z) * K(y,x)) = L(z,x \ 1,x). L(T(K(x,y),z),K(y,x) * z,u) = (u * (K(y,x) * z)) \ (u * z). T(x,y) * z != x * u | u * K(y,x) = z. K(x,T(y,z)) * K(z,y) = T(T(y,z),x) \ y. K(x,y / x) * ((y / x) \ z) = (x \ y) \ z. K(x,y) * (x \ z) = T(x,y \ x) \ z. T(x,y \ x) \ z = K(x,y) * (x \ z). K(x,T(y,z) \ u) != w | K(x,y \ u) = w. T(x,(y * z) \ u) = T(x,(z * y) \ u). T(x,((y / z) \ 1) \ u) = T(x,((z \ y) \ 1) \ u). x != K(y,z \ u) | K(y,T(z,w) \ u) = x. K(x,T(y,z) \ u) = K(x,T(y,w) \ u). K(x,T(y,z) \ u) != w | K(x,((z \ y) * z) \ u) = w. K(x,((y \ z) * y) \ u) = K(x,z \ u). x != K((y \ 1) \ 1,z) | T(K(y,z),u) = x. T(K(x,y),z) = K(((x \ 1) * u) \ u,y). x != y * (y \ z) | z = x. x = L(x,T(y,z) \ y,y). L(x,T(y,z) \ y,y) = x. L(x,K(y,z),z) = x. x \ y != L(z,K(u,w),w) | y / z = x. (x * (K(y,x) * z)) / z = x * K(y,x). x \ y != L(z,K(u,w),w) | x * z = y. (x * K(y,x)) * z = x * (K(y,x) * z). L(x,K(y,z),z * y) = x. L(x,K(y,z),y) = x. L(x,y \ T(y,z),y) = x. L(K(x,y) \ z,K(x,y),y * x) != u | (x * y) \ ((y * x) * z) = u. (x * y) \ ((y * x) * z) = K(x,y) \ z. x \ y != L(z,K(u,w),w * u) | x * z = y. (x * y) * z = (y * x) * (K(x,y) * z). (x * y) * (K(y,x) * z) = (y * x) * z. L(x,y \ R(T(y,z),u,y),y) = x. x \ (x * y) = L(y,z \ R(T(z,u),w,z),z). L(x,y \ R(T(y,z),u,y),y) = w \ (w * x). K(x,y \ L(x,z,u)) != w | K(y,x) = w. (x / (y \ z)) * (z / y) = x * K(y,y \ z). ((x * y) / x) * z = K(x,y) * (y * z). K(x,y) * (y * z) = ((x * y) / x) * z. (x / y) * z = K(y,y \ x) * ((y \ x) * z). K(x,x \ y) * ((x \ y) * z) = (y / x) * z. x * y != (z * (u * w)) * K(w,u) | x \ (z * (w * u)) = y. x \ (y * (z * x)) = T(x,z) \ (y * (x * z)). T(x,y) \ (z * (x * y)) = x \ (z * (y * x)). x * (y * z) != (x * (z * y)) * u | K(y,z) = u. (x * (y * z)) * u != x * (z * y) | K(z,y) = u. (x * (y * z)) \ (x * (z * y)) != u | u = K(z,y). (x * (y * z)) \ (x * (z * y)) != u | K(z,y) = u. T(x,y * (z * u)) != w | T(x,y * (u * z)) = w. K(x,y) \ ((x * y) * z) = (y * x) * z. x * y != K(z,u) * ((u * z) * w) | x \ ((z * u) * w) = y. x \ ((y * x) * z) = T(x,y) \ ((x * y) * z). T(x,y) \ ((x * y) * z) = x \ ((y * x) * z). K(x * y,z) * ((z * x) * y) = ((x * y) * z) * a(z,x,y). x * y != (z * T(u,w)) * K(w,u) | x \ (z * u) = y. (x * y) \ (z * y) = (y * x) \ (z * T(y,x)). (x * y) \ (z * T(x,y)) = (y * x) \ (z * x). x / y != z * T(z \ u,w) | (u * K(z \ u,w)) * y = x. (x * K((y \ 1) \ x,z)) * y = T(x * y,z). (x \ y) * K(z,y \ x) = T(x \ y,(y \ x) * z). T(x \ y,(y \ x) * z) = (x \ y) * K(z,y \ x). x != y * K(y,z) | T(y,z) = x. T(x,y \ z) = T(x,(z \ y) \ 1). T(x,(y \ z) \ 1) = T(x,z \ y). T(x,(y \ z) \ 1) != u | T(x,z \ y) = u. T(x,(y / z) \ 1) = T(x,y \ z). (x \ y) * z = T(z * (x \ y),y \ x). T(x * (y \ z),z \ y) = (y \ z) * x. x / (y \ z) = T((y \ z) \ x,z \ y). T((x \ y) \ z,y \ x) = z / (x \ y). x / y != T(z,(u \ w) \ 1) | T(z,w \ u) * y = x. T(x,y \ z) * (z \ y) = (z \ y) * x. x != T(y,z \ u) | T(y,u / z) = x. T(x,y / z) = T(x,(z / y) \ 1). T(x,(y / z) \ 1) = T(x,z / y). T(x,y \ 1) = T(x,z \ (y \ z)). T(x,y \ (z \ y)) = T(x,z \ 1). T(x,y \ (z \ 1)) = T(x,z \ (y \ 1)). T(x,(y / z) \ 1) != u | T(x,y \ z) = u. (x * (y * T(y \ (x \ z),u))) \ z = K(u,(x * y) \ z). (x * T(y,L(z,y,x))) \ (x * (y * z)) = T(L(z,y,x),y). (x * (y * z)) \ ((x * y) * z) = a(x,T(y,z),T(z,y)). (x * (y * z)) \ ((x * y) * z) = a(x,T(y,z),T(z,T(y,z))). a(x,T(y,z),T(z,T(y,z))) = (x * (y * z)) \ ((x * y) * z). (x * T(T(x,y),y)) / ((x / y) \ T(x,y)) = ((x / y) \ 1) \ x. K(x / y,z) \ y != u | T(x / y,z) \ x = u. T(x / y,z) \ x = y * K(z,y \ x). T(x,y) * K(x,z) != u \ T(x,z) | K(y,x) = u. x \ T(y,z) != T(y,u) * K(y,z) | K(u,y) = x. x * y != (T(z,u) * w) * T(u,z) | x \ ((z * w) * u) = y. (T(x,y) * (z * T(y,x))) \ ((x * z) * y) = a(T(x,y),z,T(y,x)). (x * y) \ (x * (y * z)) = L(z,T(y,x),T(x,y)). (x * (y * z)) \ ((x * y) * z) = a(T(x,y),T(y,x),z). T(x,R(T(y,z * u),u,z)) = T(x,(z * u) \ ((y * u) * z)). T(x,(y * z) \ ((u * z) * y)) = T(x,R(T(u,y * z),z,y)). x != K(y,T(z * u,z) \ w) | K(y,(u * z) \ w) = x. K(x,(y * z) \ u) = K(x,T(z * y,w) \ u). K(x,T(y * z,u) \ w) = K(x,(z * y) \ w). x / y != z * K(u,z) | ((u * z) / u) * y = x. ((x * y) / x) * z = y * (K(x,y) * z). x / y != R(z,u,w) * K(v5,R(z,u,w)) | R(z * K(v5,z),u,w) * y = x. R(x * K(y,x),z,u) * w = R(x,z,u) * (K(y,R(x,z,u)) * w). R(x,y,z) * (K(u,R(x,y,z)) * w) = R(x * K(u,x),y,z) * w. x \ y != K(z,u) \ (u * w) | x * (T(u,z) * w) = y. (x * y) * (T(y,x) * z) = (y * x) * (y * z). (x * y) \ (y * T(x,z)) = K(y,x) * K(x,z). (x * y) \ z = K(y,x) * ((y * x) \ z). K(x,y) * ((x * y) \ z) = (y * x) \ z. (x * (y * (z * K(y,x)))) \ ((y * x) * z) = a(x,y,z * K(y,x)). K(x * L(y,z,u),y) = K(x,y). K(x,y) != z | K(y \ x,y) = z. K(x \ (y * L(x,z,u)),x) = K(y,x). K(x \ y,x) = K(y / L(x,z,u),x). K(x / L(y,z,u),y) = K(y \ x,y). K(x \ (y * (z * x)),x) = K(y * z,x). ((x * y) / x) \ z = y \ (K(x,y) \ z). x \ y != T(z * (u \ w),w \ u) | x * ((u \ w) * z) = y. (x \ y) * ((y \ x) * z) = (z * (y \ x)) * (x \ y). (x * (y \ z)) * (z \ y) = (z \ y) * ((y \ z) * x). x * y != T(z * (u \ w),w \ u) | ((u \ w) * z) / y = x. ((x \ y) * z) / (y \ x) = (y \ x) \ (z * (x \ y)). T((x \ y) \ ((y \ x) * z),y \ x) != u | (y \ x) * T((x \ y) \ z,y \ x) = u. (x \ y) * T((y \ x) \ z,x \ y) = ((x \ y) * z) / (y \ x). x != (y \ (y / z)) * (z * u) | z * ((y \ (y / z)) * u) = x. x * ((y \ (y / x)) * z) = T(x * z,(y / x) \ y) * (y \ (y / x)). T(x * y,(z / x) \ z) * (z \ (z / x)) = x * ((z \ (z / x)) * y). ((x * y) / x) * (x * z) = y * (T(x,y) * z). ((x * y) \ z) * y = ((y * x) \ z) * T(y,x). ((x * y) \ z) * T(x,y) = ((y * x) \ z) * x. ((x * y) / x) \ ((x * y) * z) = y \ ((y * x) * z). K(x,((y * z) \ y) \ 1) != u | K(x,z) = u. K(x,(y * z) \ u) != w | K(x,(z * y) \ u) = w. T(x,(y * (z \ y)) \ 1) != u | T(x,y \ (y \ z)) = u. T(x,y \ (z \ 1)) != u | T(x,z \ (y \ 1)) = u. L(K(x,y),y,z) != u | K(x,y) = u. K(x,y) * ((x / y) * z) = (y \ x) * z. ((x / y) * z) * K(x,y) = (y \ x) * z. x != y * (z * K(y,u)) | T(y,u) * z = x. T(x \ y,z) * u = K(y,x) * ((y / x) * (u * K(x \ y,z))). K(x,y) * ((x / y) * (z * K(y \ x,u))) = T(y \ x,u) * z. K(x,y) * ((x / (x * y)) * z) = ((x * y) \ x) * z. K(x,y * ((z \ u) * w)) = K(x,y * ((u / z) * w)). K(x,y * ((z / u) * w)) = K(x,y * ((u \ z) * w)). K(x,y) * (z * T(x,u)) = z * T(T(x,y),u). x \ y != (z * u) * K(w,(v5 * u) \ v5) | y / (z * T(u,w)) = x. x / (x * T(y,z)) = T(x / (x * y),z). x * T(x / (x * (y \ x)),z) = x / T(x / y,z). x != (y * z) * ((y * ((y * z) \ u)) / y) | (y * ((u / z) / y)) * z = x. (x * ((y / z) / x)) * z = y * K(x,(x * z) \ y). K(x,y) * T(z,u) = T(K(y,x) \ z,u). T(K(x,y) \ z,u) = K(y,x) * T(z,u). T(x,y) = K(z,u) * T(x * K(u,z),y). K(x,y) * T(z * K(y,x),u) = T(z,u). T(x * K(y,z),u) = K(y,z) * T(x,u). T(x,y) * K(z,u) = T(x * K(z,u),y). T(x * K(y,z),u) = T(x,u) * K(y,z). (x * T(y * K(z,u),w)) \ ((x * K(z,u)) * T(y,w)) != v5 | a(x,K(z,u),T(y,w)) = v5. x \ y != T(z * K(u,w),v5) | x * (T(z,v5) * K(u,w)) = y. x * (T(y,x) * K(z,u)) = (y * K(z,u)) * x. x * T(y * K(x,z),u) != w | T(x,z) * T(y,u) = w. T(x,y * ((z \ u) \ w)) = T(x,y * ((u / z) \ w)). T(x,y * ((z / u) \ w)) = T(x,y * ((u \ z) \ w)). K(x,y) * K(z,y) = T(T(y,x),z) \ y. T(T(x,y),z) \ x = K(y,x) * K(z,x). ((x / y) \ z) * K(y,y \ x) = (y \ x) \ z. K(x,x \ y) * ((y / x) \ z) = (x \ y) \ z. K(x,y) * (y * z) != u | y * (z * K(x,y)) = u. (x \ y) * (z * K(x,x \ y)) = (y / x) * z. T((x * y) \ ((z * x) * y),(y * x) \ 1) = R(z,x,T(y,x)). (x * (T(y,x) * (T(x,y) * z))) \ ((x * y) * (x * z)) = a(x,T(y,x),T(x,y) * z). x != y * K(z,u) | K(z,u) * y = x. K(x,y) * K(z,x) = (x * z) \ (z * T(x,y)). (x * y) \ (y * T(x,z)) = K(x,z) * K(y,x). (x * (T(y,x) * z)) \ ((y * x) * z) = a((y * x) / y,y,z). a((x * y) / x,x,z) = (y * (T(x,y) * z)) \ ((x * y) * z). T(x,(y \ z) \ u) != w | T(x,(z / y) \ u) = w. K(x,y) * ((y / x) \ z) = (x \ y) \ z. ((x \ y) \ z) * K(y,x) = (y / x) \ z. T(x,(y / z) \ u) != w | T(x,(z \ y) \ u) = w. (x \ y) * (z * K(x,y)) = (y / x) * z. x * y != (z \ u) * (w * K(z,u)) | ((u / z) * w) / y = x. ((x / y) * z) / (y \ x) = T(z * K(y,x),x \ y). (x * L(y,z,u)) \ (L(y,z,u) * T(x,y)) != w | K(x * L(y,z,u),x * y) = w. K(x * L(y,z,u),x * y) = K(x,y) * K(L(y,z,u),x). L(x,y,z) = (y * z) \ (z * ((y * x) * K(y,z))). K(x,y) * (y * (x * K(z,u))) != w | (x * K(z,u)) * y = w. (x * K(y,z)) * u = (x * u) * L(K(y,z),x,u). (x * y) * L(K(z,u),x,y) = (x * K(z,u)) * y. L(x,T(y,z),T(z,y)) != u | L(x,y,z) = u. K(x,T(y * z,u) \ w) != v5 | K(x,(z * y) \ w) = v5. L(x,y,z) = (y * z) \ (z * (T(y,z) * x)). x != (y * z) \ (z * (T(y,z) * u)) | L(u,T(y,z),z) = x. L(x,T(y,z),z) = L(x,y,z). x \ y != (z * u) \ (u * (T(z,u) * w)) | x * L(w,z,u) = y. (x * y) * L(z,x,y) = y * (T(x,y) * z). L(T(x,y) \ z,x,y) = (x * y) \ (y * z). x != y | L(y,K(z,u),u * z) = x. L(L(x,y,z),K(u,w),w * u) = L(x,T(y,z),z). L(x,y \ z,y) = L(x,z / y,y). L(x,y / z,z) = L(x,z \ y,z). L(x,T(y,z),T(z,u)) = L(x,y,T(z,u)). L(x,T(y,T(z,u)),z) = L(x,y,z). L(x,T(y,T(z,u)),z) = L(x,T(y,K(w,v5)),z). (L(x,y,z) * (y * z)) \ (x * (y * z)) = a(z,T(y,z),T(x,y * z)). L(x,y \ (y / z),y) = L(x,y \ (z \ y),y). L(x,y,z) = L(x,y,T(z,y)). L(x,y,T(z,y)) = L(x,y,z). L(x,y,y \ z) = L(x,y,z / y). L(x,y,z / y) = L(x,y,y \ z). L(x,y,z) = L(x,y,y * (z / y)). L(x,y,y * (z / y)) = L(x,y,z). L(x,y \ 1,y / z) = L(x,y \ 1,z \ y). L(T(x,y),y,z / y) != u | z \ ((z / y) * (x * y)) = u. x \ ((x / y) * (z * y)) = L(T(z,y),y,y \ x). L(T(x,y),y,y \ z) = z \ ((z / y) * (x * y)). L(x,y,T(y,z) * (u / y)) = L(x,y,y \ (T(y,z) * u)). L(x,y,y \ (T(y,z) * u)) = L(x,y,T(y,z) * (u / y)). x / L(y,z,z \ x) = (x / (z * y)) * z. L(x \ y,x,x \ z) * z = T((z / x) * y,z). x * L(y,z,z \ x) != u | (x / z) * (z * y) = u. L(x,y,y \ x) \ x = y * (x \ (x / y)). x != L(y,z,u) | L(y,T(z,u),u) = x. L(x,T(y,z),z) = L(x,y,y * (z / y)). x \ (L(y,z,x) * (z * x)) = T(z,x) * T(y,z * x). x / (y * (x \ (x / y))) = L(x,y,y \ x). x / (y * (x \ (x / y))) != z | R(x,y,y \ x) = z. R(x,y,y \ x) = L(x,y,y \ x). L(x,y,y \ x) * z != x | y * (x \ (x / y)) = z. x / y != R(z,u,u \ z) | L(z,u,u \ z) * y = x. L(x,y,y \ x) * x = (x * y) * (y \ x). x * L(x,y,y \ x) = (x * y) * (y \ x). L(x,T(y,T(z,u)),z) != w | L(x,y,z) = w. L(x,y,z) = L(x,T(y,K(u,w)),z). L(x,T(y,K(z,u)),w) = L(x,y,w). L(x,(y \ 1) \ 1,z) = L(x,y,z). L(x,T(y,y \ 1),z) = L(x,y,z). L(x,K(y,K(z,u)) * w,v5) = L(x,w,v5). x \ y != L(z,T(u,u \ 1),w) | x * L(z,u,w) = y. (x * T(y,y \ 1)) * L(z,y,x) = x * (T(y,y \ 1) * z). L(x,y * K(z \ 1,z),u) = L(x,y,u). x != L(y,z,u) | (u * z) \ (u * (z * y)) = x. (x * y) \ (x * (y * z)) = L(z,y * K(u \ 1,u),x). L(x,y * K(z \ 1,z),u) = (u * y) \ (u * (y * x)). (x / y) \ (x * z) = L((x \ (x / y)) \ z,x \ (y \ x),x). L((x \ (x / y)) \ z,x \ (y \ x),x) = (x / y) \ (x * z). (x * y) * z != (x * K(u,w)) * y | R(K(u,w),x,y) = z. R(K(x,y),z,u) = L(K(x,y),z,u). x * y != (z * u) * L(K(w,v5),z,u) | ((z * K(w,v5)) * u) / y = x. ((x * K(y,z)) * u) / (x * u) = L(K(y,z),x,u). x / y != R(K(z,u),w,v5) | L(K(z,u),w,v5) * y = x. L(K(x,y),z,u) * (z * u) = (K(x,y) * z) * u. R(K(x,y),x,z) != u | K(x,y) = u. L(x,T(y,z),z) != u | L(x,y,z) = u. L(x,L(T(y,z),u,w),z) != v5 | L(x,L(y,u,w),z) = v5. L(x,y,y * (z / y)) != u | L(x,y,z) = u. L(x,y,(y * z) / y) != u | L(x,y,z) = u. L(x \ (y \ (x * z)),x,z) = (y * x) \ (x * z). L(K(x,y),z,u) != w | R(K(x,y),z,u) = w. K(x,y) != z | R(K(x,y),y,u) = z. x != (y * z) \ (y * (z * u)) | L(u,z,y) = x. L(x,y,y) = L(y \ (y \ (y * (y * x))),y,y * x). L(x \ (x \ (x * (x * y))),x,x * y) = L(y,x,x). L(x,y,K(z,u / w)) != v5 | L(x,y,K(z,w \ u)) = v5. x != (y \ z) * K(u,z \ y) | T(y \ z,u) = x. T(x \ y,z) = T(x \ y,(y \ x) * z). T(x \ y,(y \ x) * z) = T(x \ y,z). T(x,y \ 1) \ ((y * x) * z) = x \ ((x * y) * z). K(x,y) * ((x / (x * y)) * z) = (x \ (x / y)) * z. x * T(y / x,z) = x / T(x / y,z). x / T(x / y,z) = x * T(y / x,z). ((x / y) * z) / (u \ x) != w | x / (u \ ((x / z) * y)) = w. x / (y \ ((x / z) * y)) = T(z * K(y,x),x \ y). L(x \ (x * y),x,x * y) = L(y,x,x). L(x,y,y * x) = L(x,y,y). L(x \ y,x,y) = L(x \ y,x,x). L(x \ y,x,z) != u | (z * x) \ (z * y) = u. (x * y) \ (x * x) = L(y \ x,y,y). L(x \ y,x,x) = (y * x) \ (y * y). L(L(x \ 1,x,y) \ (x \ y),L(x \ 1,x,y),L(x \ 1,x,y)) = (x \ (y / x)) \ ((x \ y) * (x \ y)). T(x,y \ 1) \ ((T(x,y \ 1) * y) * z) = x \ ((x * y) * z). x != y * T(z,y \ 1) | T(y * z,y \ 1) = x. T((x \ (x / y)) * z,(x \ (x / y)) \ 1) = K(x,y) * ((x / (x * y)) * T(z,(x \ (x / y)) \ 1)). K(x,y) * ((x / (x * y)) * T(z,(x \ (x / y)) \ 1)) = T((x \ (x / y)) * z,(x \ (x / y)) \ 1). x / T(x / y,z) = T(y * K(z,x),x \ z). T(x * K(y,z),z \ y) = z / T(z / x,y). x != y / T(y / z,u) | y * T(z / y,u) = x. x * T(y / x,z) = T(y * K(z,x),x \ z). T(x * K(y,z),z \ y) = z * T(x / z,y). K(x,y) * (x * T(z / x,y)) = T(z,x \ y). T(x,y) * T(z / x,y) = T(z,x \ y). T(x,y \ z) * T(u / x,(z \ y) \ 1) = T(u,x \ ((z \ y) \ 1)). K(L(x \ y,z,u) \ 1,w) != v5 | L(K(y \ x,w),z,u) = v5. L(K(x \ y,z),y,u) = K((u * x) \ (u * y),z). L(K((x \ y) \ z,u),z,x) = K(y \ (x * z),u). L(K(x,y),z,u) = K((u * (z / x)) \ (u * z),y). K((x * (y / z)) \ (x * y),u) = L(K(z,u),y,x). 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(L(x,y,z) \ x,u),x,z * y) = K(a(z,y,x),u). L(K(x,y),z,y) != u | K(x,y) = u. K((x \ y) \ z,x) = K(y \ (x * z),x). K((x \ y) \ (x \ z),x) = K(y \ z,x). K(x \ (y \ z),y) = K((y * x) \ z,y). K((x * y) \ z,x) = K(y \ (x \ z),x). x * K(y \ (z \ x),z) = y * ((z \ (y \ x)) * z). K(L(x,y / x,z),u) = L(K(x,u),y,z). K(L(x,y / T(x,z),u),w) = L(K(T(x,z),T(w,v5)),y,u). L(K(T(x,y),T(z,u)),w,v5) = K(L(x,w / T(x,y),v5),z). K(L(x,y,z),u) = L(K(x,u),y * x,z). L(K(x,y),z * x,u) = K(L(x,z,u),y). L(K(x,y),z,u) \ 1 = K(y,L(x,z / x,u)). K(x,L(y,z / y,u)) = L(K(y,x),z,u) \ 1. 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(L(x,y / T(x,z),u),w) = L(K(x,w),y * K(z,x),u). L(K(x,y),z * K(u,x),w) = K(L(x,z / T(x,u),w),y). K(x,y) = K(L(x,z,y),y). K(L(x,y,z),z) = K(x,z). x \ y != L(K(z,u),w * z,v5) | x * K(L(z,w,v5),u) = y. (x * (y * z)) * K(L(z,y,x),y) = x * (z * y). T(x * K(y,x),L(y,z,x)) = x. T(x,y) = T(x,L(y,z,x)). T(x,L(y,z,x)) = T(x,y). x != T(y,z) | y * K(y,z) = x. x * K(x,y) = T(x,L(y,z,x)). T(x,L(y,z,x)) = x * K(x,y). x \ y != T(z,L(u,w,z)) | x * T(z,u) = y. L(x,y,z) * T(z,x) = z * L(x,y,z). T(x,y \ (x * z)) = T(x,(x \ y) \ z). T(x,(x \ y) \ z) = T(x,y \ (x * z)). T(x \ y,y \ ((y / x) * (z * x))) = T(x \ y,T(z,x)). K(x,L(y,z,x)) = K(x,y). K(x,(x * y) \ z) = K(x,y \ (x \ 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). T(L(x,y,z) * z,x) = z * L(x,y,z). K(x,(y * x) \ z) = K(x,y \ (x \ z)). (x * ((y / z) / x)) * z = y * K(x,z \ (x \ y)). (x * L(y,z,x)) / y != u | y \ (L(y,z,x) * x) = u. K(x,y) = K(L(x,y,z),y). K(L(x,y,z),y) = K(x,y). x != K(y,z) | (u * T(z,y)) \ (u * z) = x. (x * T(y,z)) \ (x * y) = K(L(z,y,u),y). K(L(x,y,z),y) = (u * T(y,x)) \ (u * y). x \ (y * z) != K(y,z) | z * y = x. x * L(y,x,z) = L(y,x,z) * T(x,y). L(x,y,z) * T(y,x) = y * L(x,y,z). T(x,L(y,x,z)) = T(x,y). x * K(x,y) = T(x,L(y,x,z)). T(x,L(y,x,z)) = x * K(x,y). T(x,(y * x) \ z) = T(x,x \ (y \ z)). K(x,L(y,x,z)) = K(x,y). x != K(y,z) | K(L(y,z,u),z) = x. K(L(x,y,z),y) = K(x,L(y,x,u)). K(x,(y * x) \ z) = K(x,x \ (y \ z)). K(x,L(y,x,z)) != u | K(x,y) = u. x != T(y,y \ z) | T(y,z) = x. T(x,y \ z) = T(x,(y * x) \ z). T(x,(y * x) \ z) = T(x,y \ z). T(x,(y * z) \ u) != w | T(x,(z * y) \ u) = w. T(x,(x * y) \ z) = T(x,y \ z). T(x,y \ z) = T(x,(x \ y) \ z). T(x,(x \ y) \ z) = T(x,y \ z). T(x,(x \ y) \ z) != u | T(x,y \ (x * z)) = u. T(x,y \ (x * z)) = T(x,y \ z). x != K(y,y \ z) | K(y,z) = x. K(x,y \ z) = K(x,(y * x) \ z). K(x,(y * x) \ z) = K(x,y \ z). K(x,(y * x) \ z) != u | K(x,y \ (x \ z)) = u. K(x,y \ (x \ z)) = K(x,x \ (y \ z)). K(x,(x * y) \ z) = K(x,y \ z). K(x,y \ (x \ z)) = K(x,y \ z). K(x,((y \ z) * y) \ u) != w | K(x,z \ u) = w. K(x,y \ z) = K(x,(x \ y) \ z). K(x,(x \ y) \ z) = K(x,y \ z). K(x,x * (y \ (x \ z))) = K(x,y \ z). K(x,y \ (x \ (y * z))) = K(x,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 * (y \ z)). K(x,y * (L(y,z,u) \ x)) = K(x,x * (L(y,z,u) \ y)). L(K(x,y),z * x,u) != w | K(L(x,z,u),y) = w. x / y != z * ((u \ (z \ w)) * u) | (w * K(z \ (u \ w),u)) * y = x. (x * K((y \ 1) \ (z \ x),z)) * y = (z \ (x * y)) * z. (x * (((y * z) / y) / x)) * y != u | y * (x * (z / x)) = u. x * (y * (z / y)) = (x * z) * K(y,x \ (y \ (x * z))). (x * y) * K(z,x \ (z \ (x * y))) = x * (z * (y / z)). T(x,y) * (T(x \ 1,y) * z) = L(z,x \ 1,x). L(x,y \ 1,y) \ (1 * x) = a(T(y,z),T(y,z) \ 1,x). a(T(x,y),T(x,y) \ 1,z) = L(z,x \ 1,x) \ (1 * z). a(x,y,z) = a(x,T(y,z),T(z,y)). a(x,T(y,z),T(z,y)) = a(x,y,z). a(x,K(y,z) * u,T(K(w,v5),u * K(y,z))) = a(x,u * K(y,z),K(w,v5)). a(T(x,y),T(y,x),z) != u | a(x,y,z) = u. a(T(x,y),T(T(y,z),x),u) != w | a(x,T(y,z),u) = w. x \ (L(y,z,x) * (z * x)) = T(z,x) * T(y,x * z). L(T(L(x,y,z) \ x,u),L(x,y,z),u) = (u * L(T(x,u),y,z)) \ (x * u). x \ (L(x,y,z) * z) = (z / x) * L(x,y,z). (x \ 1) \ (x \ y) = (y / (x \ 1)) * L(x \ 1,x,y). (x / (y \ 1)) * L(y \ 1,y,x) = (y \ 1) \ (y \ x). T(x,y) * T(z,y * x) != y \ u | L(z,x,y) * (x * y) = u. x \ y != T(z,x) * T(u,x * z) | L(u,z,x) * (z * x) = y. (x \ 1) * (y \ K(x,z)) = (y * x) \ K(x,z). (x \ 1) * (x \ K(x,y)) != z | x \ (x \ K(x,y)) = z. x \ (x \ K(x,y)) = (x * x) \ K(x,y). (x * x) \ K(x,y) = x \ (x \ K(x,y)). K(x,y) * (z * T(x,u)) != w | z * T(T(x,y),u) = w. (x * y) * T(T(y,z),u) = (x * T(y,u)) * T(y,z). (x * T(y,z)) * T(y,u) = (x * y) * T(T(y,u),z). x * (y * T(y \ (x \ z),x * y)) != u | T(z,x * y) = u. (x * K(y,z)) * K(u,x \ y) = T(y,z) * T(y \ x,u). (x * T(x \ y,z)) \ y = K(z,(x * K(z,u)) \ y). K(x,(y * K(x,z)) \ u) = (y * T(y \ u,x)) \ u. x != (y * T(y \ z,u)) \ z | K(u,y \ z) = x. K(x,y \ z) = K(x,(y * K(x,u)) \ z). K(x,(y * K(x,z)) \ u) = K(x,y \ u). K(x,(K(x,y) * z) \ u) = K(x,z \ u). K(x,(y * K(z,x)) \ u) = K(x,y \ u). K(x,y \ z) = K(x,(K(u,x) * y) \ z). K(x,(K(y,x) * z) \ u) = K(x,z \ u). K(x,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)). L(T(x,y),y,z) = (z * T(y,L(x,y,z))) \ (z * (y * x)). (x * T(y,L(z,y,x))) \ (x * (y * z)) = L(T(z,y),y,x). L(x,y,z * K(y,u)) = L(x,y,T(y,u) * (z / y)). L(x,y,T(y,z) * (u / y)) = L(x,y,u * K(y,z)). L(x \ 1,x,T(x,y) * (z / x)) != u | (T(x,y) * z) \ (T(x,y) * (z / x)) = u. (T(x,y) * z) \ (T(x,y) * (z / x)) = L(x \ 1,x,z * K(x,y)). 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),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). L(K(x,y),T(x,z) * u,w) = K(L(T(x,z),u,w),T(y,v5)). x != L(y,1,z) | y = x. K(x,y) = K(L(x,x \ 1,z),y). K(L(x,x \ 1,y),z) = K(x,z). K(L(x,T(x,y) \ 1,z),u) = K(T(x,y),T(u,w)). K(T(x,y),T(z,u)) = K(L(x,T(x,y) \ 1,w),z). K(R(x,x \ 1,y),z) = K(x,z). x != K(y,L(z,y,u)) | K(y,z) = x. K(x,y) = K(R(x,x \ 1,z),L(y,x,u)). K(R(x,x \ 1,y),L(z,x,u)) = K(x,z). 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(L(x,x \ y,z),u) != w | L(K(x,u),y,z) = w. L(K(x,y),K(z,x),u) = K(x,y). x \ y != L(K(z,u),K(w,z),v5) | x * K(z,u) = y. (x * K(y,z)) * K(z,u) = x * (K(z,u) * K(y,z)). R(K(x,y),z,u) = L(R(K(x,y),z,u),K(w,x),v5). L(R(K(x,y),z,u),K(w,x),v5) = R(K(x,y),z,u). (x * K(y,z)) * L(K(z,u),w,v5) = x * (K(y,z) * L(K(z,u),w,v5)). x * (y * K(z,u)) != (w * K(z,u)) * y | R(w,K(z,u),y) = x. R(x,K(y,z),K(z,u)) = x. L(x,K(y,z),K(z,u)) = x. R(x,L(K(y,z),u,w),K(z,v5)) = x. L(x,K(y,z),K(y,u)) = x. L(x,L(K(y,z),u,w),K(z,v5)) = x. L(x,K(y,z),K(u,y)) = x. x \ y != L(z,K(u,w),K(v5,u)) | y / z = x. (K(x,y) * (K(y,z) * u)) / u = K(x,y) * K(y,z). (K(x,y) * L(K(z,x),u,w)) * v5 = K(x,y) * (L(K(z,x),u,w) * v5). (x * y) \ ((x * (y * K(z,u))) * K(u,w)) = L(K(z,u),y,x) * K(u,w). L(x,L(K(y,z),u,w),L(K(v5,z),v6,v7) \ 1) = x. x \ y != L((z \ 1) \ u,z,z \ 1) | y / (z * u) = x. x / (L(K(y,z),u,w) * x) = L(K(y,z),u,w) \ 1. (K(x,y) * z) / (K(x,u) * z) = K(u,x) * K(x,y). x / (K(y \ x,z) * (y * (x / y))) = K(z,y \ x) * K(y \ x,y). x != K(L(y,z / T(y,u),w),v5) | L(K(y,v5),z,w) = x. L(K(x,y),z,u) = L(K(x,y),z * K(w,x),u). L(K(x,y),z * K(u,x),w) = L(K(x,y),z,w). T(x \ y,y \ ((y / x) * (z * x))) != u | T(x \ y,T(z,w)) = u. (x * y) * K(z,z \ y) = x * (z * (y / z)). x * y != (z * u) * K(w,w \ u) | (z * (w * (u / w))) / y = x. (x * (y * (z / y))) / (z / y) = (x * z) / (y \ z). a(T(x,y),T(x,y) \ 1,z) != u | a(x,x \ 1,z) = u. a(T(x,y),T(x \ 1,y),z) != u | a(x,x \ 1,z) = u. a(x,x \ 1,y \ 1) = a(y,T(x,z),T(x \ 1,z)). a(x,T(y,z),T(y \ 1,z)) = a(y,y \ 1,x \ 1). x != a(y,y \ 1,z \ 1) | a(z,y,y \ 1) = x. a(x,y,y \ 1) = a(x,T(y,z),T(y \ 1,z)). a(x,T(y,z),T(y \ 1,z)) = a(x,y,y \ 1). a(x,T(y,z),T(y,z) \ 1) = a(x,y,y \ 1). (x * T(y,L(z * K(y,z),y,x))) \ (x * (y * (z * K(y,z)))) = L(z,y,x). 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. L(K(x,y),z,u) != w | K(L(x,x \ z,u),y) = w. x != L(K(y,z),u * y,w) | K(L(y,u,w),z) = x. K(L(x,y,z),u) = (z * (y * x)) \ (z * (y * T(x,u))). (x * (y * z)) \ (x * (y * T(z,u))) = K(L(z,y,x),u). (x * (y * z)) * K(L(z,y,x),u) = x * (y * T(z,u)). x != K(L(y,z,u),w) | K(w,(u * (z * y)) \ (u * z)) = x. K(x,(y * (z * u)) \ (y * z)) = (y * (z * u)) \ (y * (z * T(u,x))). (x * (y * z)) \ (x * (y * T(z,u))) = K(u,(x * (y * z)) \ (x * y)). T(x,y * (z * T(u,w))) != v5 | T(x,y * (z * u)) = v5. T(x,y * (z * (u / w))) != v5 | T(x,y * (z * (w \ u))) = v5. K(x * y,z) * ((u * x) * y) != w | R(u,x,y) * T(x * y,z) = w. R(x,y,z) * T(y * z,x) = ((y * z) * x) * a(x,y,z). ((x * y) * z) * a(z,x,y) = R(z,x,y) * T(x * y,z). x * y != K(z * u,w) * ((v5 * z) * u) | x \ (R(v5,z,u) * T(z * u,w)) = y. ((x * y) * z) \ (R(z,x,y) * T(x * y,z)) = a(z,x,y). a(x,y,z) = ((y * z) * x) \ (R(x,y,z) * T(y * z,x)). x != R(y,z,u) * T(w,y) | T(R(y,z,u) * w,y) = x. T(R(x,y,z) * (y * z),x) = ((y * z) * x) * a(x,y,z). T((x * y) * z,x) = ((y * z) * x) * a(x,y,z). ((x * y) * z) * a(z,x,y) = T((z * x) * y,z). (x * y) * a(y,z,z \ x) = T((y * z) * (z \ x),y). a(x,T(y,z),T(z,T(y,z))) != u | a(x,y,z) = u. x != T(y,R(T(z,u),w,v5)) | T(y,R(z,w,v5)) = x. T(x,R(y,z,u)) = T(x,(u * z) \ ((y * z) * u)). T(x,(y * z) \ ((u * z) * y)) = T(x,R(u,z,y)). 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)) | y / T(z,L(u,w,v5)) = x. x / T(x,L(y,z,u)) = K(R(y,z,u),x). x \ y != T(z,R(u,w,v5)) | x * T(z,L(u,w,v5)) = y. R(x,y,z) * T(u,L(x,y,z)) = u * R(x,y,z). 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(L(x,y,z),u) = K(R(x,y,z),u). K(R(x,y,z),u) = K(L(x,y,z),u). K(R(x,y,z),u) != w | K(L(x,y,z),u) = w. x != K(L(y,z,u),z) | K(y,z) = x. K(x,y) = K(R(x,y,z),y). K(R(x,y,z),y) = K(x,y). K(x,L(y,z,u)) = K(x,R(y,z,u)). K(x,R(y,z,u)) = K(x,L(y,z,u)). K(x,y) = K(x,R(y,x,z)). K(x,R(y,x,z)) = K(x,y). x \ y != K(z,R(u,w,v5)) | x * K(z,L(u,w,v5)) = y. ((x * y) * z) * K(y * z,L(x,y,z)) = (y * z) * R(x,y,z). x != K(y,z) | K(R(y,z,u),z) = x. K(R(x,y,z),y) = K(x,R(y,x,u)). K(x,R(R(y,x,z),u,w)) = K(x,R(y,u,w)). K(R(x \ R(x,y,z),x,y * z),u) != w | K(a(x,y,z),u) = w. K(a(x,y,z),x) = K(x \ R(x,y,z),R(x,x \ R(x,y,z),u)). K(x \ R(x,y,z),R(x,x \ R(x,y,z),u)) = K(a(x,y,z),x). T(R(T(x,y * z),z,y),(y * z) \ 1) = R(x,z,T(y,z)). R(T(T(x,y * z),(y * z) \ 1),z,y) = R(x,z,T(y,z)). R(x,y,z) = R(x,y,T(z,y)). R(x,y,T(z,y)) = R(x,y,z). ((x * y) * T(z,y)) / (z * y) = R(x,y,z). R(x,y,z) = ((x * y) * T(z,y)) / (z * y). R(x,y,L(y \ 1,y,z)) = R(x,y,z \ (z / y)). x != (y * (T(z,y) * u)) \ ((z * y) * u) | a(y,T(z,y),u) = x. a(x,T(y,x),z) = a((y * x) / y,y,z). a((x * y) / x,x,z) = a(y,T(x,y),z). a(x * (y / x),x,z) = a(y,T(x,y),z). a(T(x,y \ 1),y,z) = a(x,T(y,x),z). x * (T(y,y \ 1) * z) != (x * T(y,y \ 1)) * u | L(z,y,x) = u. (x * T(y,y \ 1)) * z != x * (T(y,y \ 1) * u) | L(u,y,x) = z. L(((x * y) \ ((x * y) / x)) \ z,(x * y) \ y,x * y) = ((x * y) / x) \ ((x * y) * z). K(x,R(T(K(x,y),z * u),z,u)) = K(x,a(K(x,y),z,u)). K(x,R(T(K(y,z),u),w,v5)) != v6 | 1 = v6. 1 = K(x,a(K(x,y),z,u)). K(x,a(K(x,y),z,u)) = 1. K(x,a(K(x,y),z,u)) * w != 1 | 1 = w. 1 = K(a(K(x,y),z,u),x). K(a(K(x,y),z,u),x) = 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). (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 \ z) * u) / (z \ y) | (z \ y) \ (u * (y \ z)) = x. (x \ y) \ (z * (y \ x)) = (y \ x) * T((x \ y) \ z,y \ x). (x \ y) * T((y \ x) \ z,x \ y) = (y \ x) \ (z * (x \ y)). K(x,y) * (T(x / y,z) * u) = T(y \ x,z) * u. K(x,y) * (T(x \ y,z) * u) = T(y / x,z) * u. K(x,y) * (T(x \ y,z) * u) != w | w = T(y / x,z) * u. K(x,y) * (T(x \ y,z) * u) != w | T(y / x,z) * u = w. K(x,y) * (T(x / y,z) * u) != w | w = T(y \ x,z) * u. K(x,y) * (T(x / y,z) * u) != w | T(y \ x,z) * u = w. (x * y) * R(z,x,y) != ((z * x) * y) * u | K(x * y,L(z,x,y)) = u. ((x * y) * z) * u != (y * z) * R(x,y,z) | K(y * z,L(x,y,z)) = u. K(x \ R(x,y,z),R(x,u,w)) != v5 | 1 = v5. 1 = K(a(x,y,z),x). K(a(x,y,z),x) = 1. T(a(x,y,z),x) = a(x,y,z). T(a(T(x,y),z,u),x \ 1) = a(T(x,y),z,u). T(x,a(x,y,z)) = x. x \ y != T(a(z,u,w),z) | x * a(z,u,w) = y. x * a(x,y,z) = a(x,y,z) * x. a(x,y,z) * x = x * a(x,y,z). (x * y) \ ((x * a(x,z,u)) * y) = R(T(a(x,z,u),x * y),x,y). K(x,(y * z) / (y * (u \ z))) * (y * (K(u,x) * z)) = y * z. (x \ y) * (z / (y \ x)) = (y \ x) \ (z * (x \ y)). (x \ y) \ (z * (y \ x)) = (y \ x) * (z / (x \ y)). ((x * y) \ x) \ (z * y) = (x \ (x * y)) * (z / ((x * y) \ x)). (x \ (x * y)) * (z / ((x * y) \ x)) = ((x * y) \ x) \ (z * y). (x * y) \ (K(z,(x * y) / (x * (u \ y))) * ((x * K(u,z)) * y)) = L(a(x,K(u,z),y),x * (K(u,z) * y),K(z,(x * y) / (x * (u \ y)))). L(a(x,K(y,z),u),x * (K(y,z) * u),K(z,(x * u) / (x * (y \ u)))) = (x * u) \ (K(z,(x * u) / (x * (y \ u))) * ((x * K(y,z)) * u)). (x \ (x * y)) * (z / ((x * y) \ x)) = (x \ (x / y)) \ (z * y). x * (y / ((z * x) \ z)) = (z \ (z / x)) \ (y * x). (x \ (x / y)) \ (z * y) = y * (z / ((x * y) \ x)). (x \ (x / y)) \ (z * y) = y * (z / (x \ (x / y))). x * L(y,K(z,u),K(u,z) * x) = (x * K(u,z)) * (K(z,u) * y). 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). L(T(K(x,y),z),K(y,x) * z,u) = (u * (K(x,y) \ z)) \ (u * z). (x * (y * z)) \ ((x * y) * z) = a(T(x,z),y,T(z,x)). a(x,y,z) = a(T(x,z),y,T(z,x)). a(T(x,y),z,T(y,x)) = a(x,z,y). a(T(x,y),z,T(y,x)) != u | a(x,z,y) = u. a(T(x * y,x),z,T(x,y)) = a(x * y,z,x). a(T(x,y),z,T(T(y,u),x)) = a(x,z,T(y,u)). a(x * y,z,T(x \ 1,y * x)) = a(y * x,z,x \ 1). a(T(x,y),z,T(T(y,u),x)) != w | a(x,z,T(y,u)) = w. a(x * y,z,T(y,x)) = a(y * x,z,y). a((x / y) * y,z,T(y,x / y)) = a(T(x,y \ 1),z,y). a(x * y,z,T(x \ 1,x * y)) = a(y * x,z,x \ 1). a(x,y,T(z,x / z)) = a(T(x,z \ 1),y,z). a(T(x,y \ 1),z,y) = a(x,z,T(y,x / y)). a(T(x,y \ 1),z,y) = a(x,z,T(y,x)). a(T(x,y \ x),z,y) = a(x,z,T(y,x)). R(x,y,z) * (K(u,R(x,y,z)) * (y * z)) != w | K(u,R(x,y,z)) * ((x * y) * z) = w. K(x,R(y,z,u)) * ((y * z) * u) = R(y * K(x,y),z,u) * (z * u). R(x * K(y,x),z,u) * (z * u) = K(y,R(x,z,u)) * ((x * z) * u). (x * (T(y,x) * z)) \ ((y * x) * z) = a(x,y,z * K(y,x)). a(x,T(y,x),z) = a(x,y,z * K(y,x)). a(x,y,z * K(y,x)) = a(x,T(y,x),z). a(x,y,z) = a(x,T(y,x),z * K(x,y)). a(x,T(y,x),z * K(x,y)) = a(x,y,z). L(K(x,y),z,K(y,u)) != w | K(x,y) = w. K((K(x,y) * z) \ u,y) = K(z \ (K(y,x) * u),y). x != L(y \ 1,y,z * K(y,u)) | L(y \ 1,y,z) = x. L(x \ 1,x,y) = (T(x,z) * y) \ (T(x,z) * (y / x)). (T(x,y) * z) \ (T(x,y) * (z / x)) = L(x \ 1,x,z). x * (y * R(T(a(x,z,u),x * y),x,y)) = (x * L(a(x,z,u),y,x)) * y. T(x * y,x) * (z \ (z / x)) = x * ((z \ (z / x)) * y). (x * y) * (z \ (z / y)) = y * ((z \ (z / y)) * x). (x * y) * ((T(y,z) * u) \ (T(y,z) * (u / y))) = y * (((T(y,z) * u) \ ((T(y,z) * u) / y)) * x). T(x,y \ z) * T(u / x,y \ z) = T(u,x \ ((z \ y) \ 1)). T(x,y) * T(z / x,y) != u | T(z,x \ y) = u. T(x,y \ (z \ u)) = T(x,y \ ((u \ z) \ 1)). T(x,y \ ((z \ u) \ 1)) = T(x,y \ (u \ z)). x != T(y,z \ (u \ z)) | T(y,u \ 1) = x. T(x,y \ 1) = T(x,z \ ((z \ y) \ 1)). T(x,y \ ((y \ z) \ 1)) = T(x,z \ 1). T(x,y \ (z \ 1)) = T(x,(y * z) \ 1). T(x,(y * z) \ 1) = T(x,y \ (z \ 1)). x != T(y,z \ (u \ 1)) | T(y,u \ (z \ 1)) = x. T(x,y \ (z \ 1)) = T(x,(z * y) \ 1). T(x,(y * z) \ 1) = T(x,z \ (y \ 1)). K(x * y,z) = (z \ 1) * T(z,x \ (y \ 1)). (x \ 1) * T(x,y \ (z \ 1)) = K(y * z,x). L(T(x,y \ (z \ 1)),z,y) = (y * (z * x)) / (y * z). T(x,(y * z) \ 1) != u | T(x,z \ (y \ 1)) = u. T(x,(y * ((z * u) \ y)) \ 1) = T(x,(z \ y) \ ((y / u) \ 1)). (T(x,y \ (z \ 1)) * z) * y = (z * y) * R(x,z,y). T(x,(y * z) \ 1) != u | T(x,y \ (z \ 1)) = u. K(x,y \ (z \ 1)) = K(y * z,x). K((x \ 1) \ y,z) = K(y * x,z). K(x,y \ z) = K(y * (z \ 1),x). K(x * (y \ 1),z) = K(z,x \ y). K(x * y,z) = K(z,y \ (x \ 1)). K(x,y \ (z \ 1)) = K(z * y,x). K(x,y \ ((z \ 1) * u)) = K(y * ((u \ 1) * z),x). K(x * ((y \ 1) * z),u) = K(u,x \ ((z \ 1) * y)). K(x,(y \ 1) \ (((y \ 1) / z) * u)) = K((((y \ 1) / u) * z) * y,x). K(x * y,z) = K((x \ 1) \ y,z). K((x \ 1) \ y,z) = K(x * y,z). (x * K(x * y,z)) * y = T(x * y,z). x != K(y,z \ u) | K(z / u,y) = x. K(x / y,z) = K(x * (y \ 1),z). K(x * (y \ 1),z) = K(x / y,z). x != K(y,z) | K(z,y \ 1) = x. K(x,(y * z) \ 1) = K(x,z \ (y \ 1)). K(x,y \ (z \ 1)) != u | K(y * z,x) = u. x * (y * K(x * y,z)) = T(x * y,z). (x * K(y * (z \ x),z)) * y = (z \ (x * y)) * z. K(x * (1 / y),z) = K(x / y,z). x != K(y,z) | z / T(z,y) = x. x / T(x,y / z) = K(y * (1 / z),x). K(x * (1 / y),z) = z / T(z,x / y). x != K(y,z \ ((u \ w) \ w)) | K(y,z \ u) = x. K(x,y \ z) = K(x,((z \ 1) * y) \ 1). K(x,((y \ 1) * z) \ 1) = K(x,z \ y). T(x,y * (1 / z)) = T(x,y / z). T(x,y \ z) = T(x,z * (1 / y)). T(x,y * (1 / z)) = T(x,z \ y). T(x,y * (z / u)) != w | T(x,y * (u \ z)) = w. T(x,y * (z \ 1)) = T(x,z \ y). T(x,y * z) = T(x,(z \ 1) \ y). T(x,(y \ 1) \ z) = T(x,z * y). T(x,(y \ 1) * z) = T(x,y \ z). x * K(x,y \ z) = T(x,z * (y \ 1)). T(x,y * (z \ 1)) = x * K(x,z \ y). T(x,y * ((z * T(u,w)) \ 1)) != v5 | T(x,y * ((z * u) \ 1)) = v5. T(x,y * ((z * u) \ 1)) = T(x,(z * T(u,w)) \ y). T(x,(y * T(z,u)) \ w) = T(x,w * ((y * z) \ 1)). T(x,y * ((z \ 1) * u)) = T(x,((u \ 1) * z) \ y). T(x,((y \ 1) * z) \ u) = T(x,u * ((z \ 1) * y)). (x \ 1) * (y * T(R(x,z,u),x \ y)) = R(x,z,u) * ((x \ 1) * y). T(x,y * z) = T(x,(y \ 1) \ z). T(x,(y \ 1) \ z) = T(x,y * z). T(x,L(y,z \ 1,u \ 1) \ w) = T(x,w * R(y \ 1,z,u)). (L(x,y,z) \ 1) * (u * T(x,L(x,y,z) \ u)) = x * ((L(x,y,z) \ 1) * u). T(x * (y / x),(x \ 1) \ y) != z | y = z. x = T(y * (x / y),y * x). T(x * (y / x),x * y) = y. T(x,(y \ 1) \ z) != u | T(x,z * y) = u. (x * y) / L(y,z,u) = L(x * (y / x),z,u) \ (x * y). L(x * (y / x),z,u) \ (x * y) = (x * y) / L(y,z,u). K(x,((y \ 1) * (z \ 1)) \ 1) != u | K(x,z * y) = u. K(x,y * z) = K(x,(y \ 1) \ z). K(x,(y \ 1) \ z) = K(x,y * z). K(x,y * z) = K(x,(z \ 1) \ y). K(x,(y \ 1) \ z) = K(x,z * y). K(x,((y \ 1) * z) \ u) = K(x,u * ((z \ 1) * y)). K(x,(y \ 1) \ z) != u | K(x,y * z) = u. T(x,y * (z \ 1)) != u | T(x,z \ y) = u. K(x,y \ ((z \ 1) * u)) != w | K(y * ((u \ 1) * z),x) = w. K(x,y \ (z / (u \ 1))) != w | K(y * (u \ (z \ 1)),x) = w. T(x,(y \ 1) * z) != u | T(x,y \ z) = u. K(x,y \ (z * (u \ 1))) = K(y * ((z \ 1) * u),x). K(x * ((y \ 1) * z),u) = K(u,x \ (y * (z \ 1))). x * y != (z \ ((y \ (z * u)) * y)) * z | y \ (u * z) = x. x \ (y * z) = (x \ (z * y)) * K(x * (z \ (x \ (z * y))),z). (x \ (y * z)) * K(x * (y \ (x \ (y * z))),y) = x \ (z * y). x != T(y,z * (u \ 1)) | T(y,u \ z) = x. T(x,(y * z) \ u) = T(x,(y * T(z,w)) \ u). T(x,(y * T(z,u)) \ w) = T(x,(y * z) \ w). T(x,(y * (z \ u)) \ w) = T(x,(y * (u / z)) \ w). T(x,(y * (z / u)) \ w) = T(x,(y * (u \ z)) \ w). K(x,(((y \ 1) / z) * u) \ w) = K(x,w * ((u \ 1) * ((z \ 1) \ y))). K(x,y * ((z \ 1) * ((u \ 1) \ w))) = K(x,(((w \ 1) / u) * z) \ y). K(x * (((y * z) \ 1) * z),u) = K(u,x \ L(y,z,z \ 1)). x != (y * z) / L(z,u,w) | (y / L(z,u,w)) * z = x. (x / L(y,z,u)) * y = L(x * (y / x),z,u) \ (x * y). L(x * (y / x),z,u) \ (x * y) = (x / L(y,z,u)) * y. K(x,y \ ((z \ 1) \ u)) != w | K(y * (z \ (u \ 1)),x) = w. T(x,(y \ z) \ ((z / u) \ 1)) != w | T(x,z \ (z \ (y * u))) = w. T(x,(y \ z) \ ((u \ z) \ 1)) != w | T(x,z \ (z \ (y * u))) = w. T(x,(y \ z) \ (z \ u)) != w | T(x,z \ (z \ (y * u))) = w. x * L(K(y,z),u,w) = (x * K(y,v5)) * (K(v5,y) * L(K(y,z),u,w)). (x * K(y,z)) * (K(z,y) * L(K(y,u),w,v5)) = x * L(K(y,u),w,v5). x / (K(((y \ 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 * y) \ (x * ((y * z) * T(y \ (y / z),u))) = K(u,(x * ((y * z) * (y \ (y / z)))) \ (x * (y * z))). K(x,(y * ((z * u) * (z \ (z / u)))) \ (y * (z * u))) = (y * z) \ (y * ((z * u) * T(z \ (z / u),x))). x * R(K(y,z),u,w) != (x * K(y,v5)) * v6 | K(v5,y) * R(K(y,z),u,w) = v6. (x * K(y,z)) * u != x * R(K(y,w),v5,v6) | K(z,y) * R(K(y,w),v5,v6) = u. ((x * K(y,x)) * z) * u = K(y,R(x,z,u)) * ((x * z) * u). K(x,R(y,z,u)) * ((y * z) * u) = ((y * K(x,y)) * z) * u. K(x,R(y,z,u)) * ((y * z) * u) = (y * (K(x,y) * z)) * u. x * ((y * z) * u) != (y * (K(w,y) * z)) * u | R(K(w,y),y * z,u) = x. R(K(x,y),y * z,u) = K(x,R(y,z,u)). R(K(x,y),z,u) = K(x,R(y,y \ z,u)). K(x,R(y,y \ z,u)) = R(K(x,y),z,u). R(K(x,R(y,z,u)),(y * z) * u,w) = K(x,R(R(y,z,u),z * u,w)). K(x,R(y,T(y,z) \ u,w)) = R(K(x,T(y,z)),u,w). K(x,R(y,T(y,z) \ u,w)) = R(K(x,y),u,w). K(x,R(y,z,u)) = R(K(x,y),T(y,w) * z,u). R(K(x,y),T(y,z) * u,w) = K(x,R(y,u,w)). K(x,R(T(y,z),y \ u,w)) = R(K(x,T(y,z)),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 \ R(y,z,u)),R(y,z,u),z * u) = K(x,((y * z) * u) / (y * (z * u))). x != R(y,1,z) | y = x. K(x,T(y,z)) = K(x,R(T(y,z),y \ 1,u)). K(x,R(T(y,z),y \ 1,u)) = K(x,T(y,z)). x != K(y,T(z,u)) | T(K(y,z),w) = x. T(K(x,y),z) = K(x,R(T(y,u),y \ 1,w)). K(x,y * (((y \ 1) / z) * u)) = K((((y \ 1) / u) * z) * y,x). K((((x \ 1) / y) * z) * x,u) = K(u,x * (((x \ 1) / z) * y)). K(x * (((x \ 1) / y) * z),u) = K(u,x * (((x \ 1) / z) * y)). K(((K(x,y) / z) * u) * K(y,x),w) = K(w,K(y,x) * (((K(y,x) \ 1) / u) * z)). K(x,K(y,z) * (((K(y,z) \ 1) / u) * w)) = K(((K(z,y) / w) * u) * K(y,z),x). (x \ 1) * (y * R(T(x,x \ y),z,u)) = R(x,z,u) * ((x \ 1) * y). K(x,y * ((z \ 1) * ((u \ 1) \ w))) != v5 | K(x,(z * ((w \ 1) / u)) \ y) = v5. x != K(y,R(R(z,y,u),w,v5)) | K(y,R(z,w,v5)) = x. K(x,R(y,x * z,u)) = R(K(x,R(y,x,z)),(y * x) * z,u). R(K(x,R(y,x,z)),(y * x) * z,u) = K(x,R(y,x * z,u)). R(K(x,y),(y * x) * z,u) = K(x,R(y,x * z,u)). (x \ 1) * (y * R(T(x,y),z,u)) = R(x,z,u) * ((x \ 1) * y). (x \ 1) * (R(x,y,z) * u) = R(x,y,z) * ((x \ 1) * u). R(x,y,z) * ((x \ 1) * u) = (x \ 1) * (R(x,y,z) * u). (x \ 1) \ (R(x,y,z) * u) = R(x,y,z) * ((x \ 1) \ u). ((x \ 1) * (R(x,y,z) * u)) \ ((x \ R(x,y,z)) * u) = a(R(x,y,z),x \ 1,u). (x * y) \ ((x * (y * K(z,u))) * K(u,z)) != w | a(x,y * K(z,u),K(u,z)) = w. a(x,y * K(z,u),K(u,z)) = L(K(z,u),y,x) * K(u,z). K(x,y) * L(K(y,x),z,u) = a(u,z * K(y,x),K(x,y)). 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)). T(x,a(y,z,K(u,w))) = x. K(x,y) * L(K(y,x),z,u) = a(u,z,K(x,y)). 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)). x \ y != T(z,a(u,w,K(v5,v6))) | y / z = x. (x * a(y,z,K(u,w))) / x = a(y,z,K(u,w)). T(x,a(y,z,K(u,w))) != v5 | x = v5. a(x,y,K(z,u)) * w != v5 | w * a(x,y,K(z,u)) = v5. x != y * a(z,u,K(w,v5)) | a(z,u,K(w,v5)) * y = x. x * a(y,z,K(u,w)) != v5 | a(y,z,K(u,w)) * x = v5. 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)). K(x,y) * L(K(y,x),z * K(x,y),u) != w | a(u,z,K(x,y)) = w. a(x,y,K(z,u)) = a(x,y * K(z,u),K(z,u)). a(x,y * K(z,u),K(z,u)) = a(x,y,K(z,u)). x \ y != K(z,u) * L(K(u,z),w,v5) | x * a(v5,w,K(z,u)) = 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,y) * K(L(y,z,u),x) = a(u,z * y,K(x,y)). a(x,y,K(z,u)) * w = K(z,u) * (L(K(u,z),y,x) * w). K(x,y) * (L(K(y,x),z,u) * w) = a(u,z,K(x,y)) * w. (x * K(y,z)) * a(u,w,K(z,y)) = x * L(K(y,z),w,u). T(K(x,y),z) * a(u,w,K(y,x * K(v5,v6))) = L(K(x * K(v5,v6),y),w,u). L(K(x,y),z,u) * K(y,w) != v5 | (u * z) \ ((u * (z * K(x,y))) * K(y,w)) = v5. (x * y) \ ((x * (y * K(z,u))) * K(u,z)) = a(x,y,K(u,z)). (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 != a(y / z,z,K(u,y)) | ((y / z) * (z * K(u,y))) \ ((u * y) / u) = x. ((x / y) * (y * K(z,x))) \ ((z * x) / z) = ((x / y) * y) \ (((x / y) * (y * K(x,z))) * K(z,x)). (x * T(y,z)) * L(K(u,y),w,v5) != v6 | x * (T(y,z) * L(K(u,y),w,v5)) = v6. 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. (T(x,y) * z) \ (T(x,y) * (z * u)) = L(L(u,z,x),x * z,K(x,y)). L(L(x,y,z),z * y,K(z,u)) = (T(z,u) * y) \ (T(z,u) * (y * x)). L(x,y,T(z,u)) = L(L(x,y,z),z * y,K(z,u)). L(L(x,y,z),z * y,K(z,u)) = L(x,y,T(z,u)). x != L(y,T(z,u),u) | L(y,z,u) = x. L(x,y,T(z,u)) = L(L(x,T(y,T(z,u)),z),z * T(y,T(z,u)),K(z,u)). L(L(x,T(y,T(z,u)),z),z * T(y,T(z,u)),K(z,u)) = L(x,y,T(z,u)). L(L(x,y,z),u,K(w,x)) != v5 | L(x,y,z) = v5. L(x,y,z) = L(x,y,T(z,x)). L(x,y,T(z,x)) = L(x,y,z). L(L(x,y,z),z * T(y,T(z,u)),K(z,u)) = L(x,y,T(z,u)). L(L(x,y,z),y * z,K(z,u)) = L(x,y,T(z,u)). L(K(x,y),z,u) * (K(y,w) * v5) = K(y,w) * (L(K(x,y),z,u) * v5). x != K(y,z) * (L(K(z,y),u,w) * v5) | a(w,u,K(y,z)) * v5 = x. 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. a(x,K(y,z) * u,T(K(w,v5),v6)) = a(x,u * K(y,z),K(w,v5)). x != a(y,z * K(u,w),K(u,w)) | a(y,z,K(u,w)) = x. a(x,y,K(z,u)) = a(x,K(z,u) * y,T(K(z,u),w)). a(x,K(y,z) * u,T(K(y,z),w)) = a(x,u,K(y,z)). L(T(L(x,y,z) \ x,u),L(x,y,z),u) = (L(x,y,z) * u) \ (x * u). L(T(L(x,y,z) \ u,w),L(x,y,z),z * y) != v5 | T((z * (y * x)) \ ((z * y) * u),w) = v5. T((x * (y * z)) \ ((x * y) * z),x * y) = (L(z,y,x) * (x * y)) \ (z * (x * y)). (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 * 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)). 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). L(T(x,y),T(z,x),u) = L(T(x,y),z,u). L(x,(y \ z) / x,y) != u | (y * ((y \ z) / x)) \ z = u. (x * ((x \ y) / z)) \ y = L(z,z \ (x \ y),x). L(x,x \ (y \ z),y) = (y * ((y \ z) / x)) \ z. T(K(x,y),z) * a(u,w,T(K(y,x),v5)) = L(K(x * K(v6,v7),y),w,u). L(K(x * K(y,z),u),w,v5) = T(K(x,u),v6) * a(v5,w,T(K(u,x),v7)). L(T(K(x,y),z),u,w) = T(K(x,y),v5) * a(w,u,T(K(y,x),v6)). L(T(K(x,y),z),K(y,x) * z,u) != w | (u * (K(x,y) \ z)) \ (u * z) = w. (x * (K(y,z) \ u)) \ (x * u) = T(K(y,z),w) * a(x,K(z,y) * u,T(K(z,y),v5)). L(T(K(x,y),z),u,w) = T(K(x,y),v5) * a(w,u,K(y,x)). (L(x,y,z) \ 1) * (u * T(x,u)) = x * ((L(x,y,z) \ 1) * u). (L(x,y,z) \ 1) * (x * u) = x * ((L(x,y,z) \ 1) * u). a(L(x,y,z) \ 1,x,u) = (x * ((L(x,y,z) \ 1) * u)) \ (((L(x,y,z) \ 1) * x) * u). (x * ((L(x,y,z) \ 1) * u)) \ (((L(x,y,z) \ 1) * x) * u) = a(L(x,y,z) \ 1,x,u). L(L(T(x \ 1,y),T(x,y),z),z * T(x,y),K(y,x)) = (z * x) \ (K(y,x) * z). K(x,K(y,z) * (((K(y,z) \ 1) / u) * w)) = K(((w \ K(z,y)) * u) * K(y,z),x). L(L(x,y,z),u,w) != v5 | L(L(x,u,w),y,z) = v5. L(L(T(x \ 1,y),z * T(x,y),K(y,x)),T(x,y),z) = (z * x) \ (K(y,x) * z). x != K(y * K(z,u),w) | K(y,w) = x. K((x \ K(y,z)) * u,w) = K(w,K(z,y) * (((K(z,y) \ 1) / u) * x)). K(x,K(y,z) * (((K(y,z) \ 1) / u) * w)) = K((w \ K(z,y)) * u,x). K(x * (y \ K(z,u)),w) = K(w,K(u,z) * (((K(u,z) \ 1) / x) * y)). K(x,K(y,z) * (((K(y,z) \ 1) / u) * w)) = K(u * (w \ K(z,y)),x). K(x,K(y,z) * ((K(z,y) / u) * w)) = K(u * (w \ K(z,y)),x). K(x,y * ((z / u) * w)) != v5 | K(x,y * ((u \ z) * w)) = v5. K(x,K(y,z) * ((u \ K(z,y)) * w)) = K(u * (w \ K(z,y)),x). L(T(x \ 1,y),T(x,y),z) = (z * x) \ (K(y,x) * z). L(T(x \ 1,y),T(x,y),z) = (z * x) \ (z * K(y,x)). x != (y * z) \ (y * K(u,z)) | L(T(z \ 1,u),z,y) = x. L(T(x \ 1,y),x,z) = L(T(x \ 1,y),T(x,y),z). L(T(x \ 1,y),T(x,y),z) = L(T(x \ 1,y),x,z). L(T(x \ 1,y),x,z) \ z = T(x,y) * z. L(x \ L(y \ (y * x),z,u),x,y) = (y \ (y / x)) * L((y \ (y / x)) \ 1,z,u). (x * (y * (x * z))) \ ((x * y) * (x * z)) = a(x,T(y,x),T(x,y) * z). a(x,T(y,x),T(x,y) * z) != u | a(x,y,x * z) = u. x != K(y,((z * u) * w) / (z * (u * w))) | K(y,a(z,u,w)) = x. 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)). T(a(x,y,z),x * y) = (L(z,y,x) * (x * y)) \ (z * (x * y)). (L(x,y,z) * (z * y)) \ (x * (z * y)) = T(a(z,y,x),z * y). (L(x,y,z) * (z * y)) \ (x * (z * y)) != u | a(z,y,T(x,y * z)) = u. a(x,y,T(z,y * x)) = T(a(x,y,z),x * y). (x * (K(y,z) \ u)) \ (x * u) = T(K(y,z),w) * a(x,u,K(z,y)). x != T(K(y,z),u) * a(w,v5,K(z,y)) | L(T(K(y,z),v6),v5,w) = x. L(T(K(x,y),z),u,w) = (w * (K(x,y) \ u)) \ (w * u). L(T(K(x,y),z),u,w) = (w * (K(y,x) * u)) \ (w * u). L(K(x,T(y,z)),u,w) = (w * (K(y,x) * u)) \ (w * u). x \ y != (z * (K(u,w) * v5)) \ (z * v5) | x * L(K(w,T(u,v6)),v5,z) = y. (x * (K(y,z) * u)) * L(K(z,T(y,w)),u,x) = x * u. x != y * z | K(u,(y * z) / (y * (w \ z))) * (y * (K(w,u) * z)) = x. K(x,(y * z) / (y * (u \ z))) * (y * (K(u,x) * z)) = (y * (K(w,v5) * z)) * L(K(v5,T(w,v6)),z,y). x != (y \ z) * L((y \ z) \ 1,u,w) | y \ (z * L(z \ y,u,w)) = x. x \ ((x / y) * L((x / y) \ x,z,u)) = L(y \ L(x \ (x * y),z,u),y,x). L(x \ L(y \ (y * x),z,u),x,y) = y \ ((y / x) * L((y / x) \ y,z,u)). L(x \ L(y \ (y * x),z,u),x,y) = y \ ((y / x) * L(x,z,u)). L(x \ L(x,y,z),x,u) = u \ ((u / x) * L(x,y,z)). L(x \ L(y \ 1,y,z),x,z) != u | (z * x) \ (z / y) = u. (x * (y \ 1)) \ (x / y) = x \ ((x / (y \ 1)) * L(y \ 1,y,x)). x \ ((x / (y \ 1)) * L(y \ 1,y,x)) = (x * (y \ 1)) \ (x / y). L(x \ L(x,y,z),x,u) * u != w | T((u / x) * L(x,y,z),u) = w. L(x \ L(x,y,z),x,z * y) = (z * y) \ ((z * (y * x)) / x). L(x \ L(y,z,u),x,u * z) != w | ((u * z) * x) \ (u * (z * y)) = w. ((x * y) * z) \ (x * (y * z)) = (x * y) \ ((x * (y * z)) / z). ((x * y) * (y \ 1)) \ x = (x * y) \ ((x * (y * (y \ 1))) / (y \ 1)). (x * y) \ ((x * (y * (y \ 1))) / (y \ 1)) = ((x * y) * (y \ 1)) \ x. x != (y * (z \ 1)) \ (y / z) | (y / z) * (z * (y \ 1)) = x. (x / y) * (y * (x \ 1)) = x \ ((x / (y \ 1)) * L(y \ 1,y,x)). x \ ((x / (y \ 1)) * L(y \ 1,y,x)) = (x / y) * (y * (x \ 1)). x \ ((y \ 1) \ (y \ x)) = (x / y) * (y * (x \ 1)). x \ (y \ ((y \ 1) \ x)) = (x / y) * (y * (x \ 1)). (x * y) \ ((x * (y * (y \ 1))) / (y \ 1)) = L(x,y,y \ 1) \ x. x != L(y,z,z \ 1) \ y | a(z \ 1,z,y) = x. a(x \ 1,x,y) = (y * x) \ ((y * (x * (x \ 1))) / (x \ 1)). (x * y) \ ((x * (y * (y \ 1))) / (y \ 1)) = a(y \ 1,y,x). (x * y) \ (x / (y \ 1)) = a(y \ 1,y,x). x != a(y \ 1,y,z) | a(y,y \ 1,z) = x. a(x,x \ 1,y) = (y * x) \ (y / (x \ 1)). (x * y) \ (x / (y \ 1)) = a(y,y \ 1,x). (x / (y \ 1)) \ L(x / (y \ 1),y,y \ 1) = a(y,y \ 1,x) \ 1. x != a(y,y \ 1,z) \ 1 | a(z,y,y \ 1) = x. a(x,y,y \ 1) = (x / (y \ 1)) \ L(x / (y \ 1),y,y \ 1). (x / (y \ 1)) \ L(x / (y \ 1),y,y \ 1) = a(x,y,y \ 1). (x / (y \ 1)) \ (x * y) = a(x,y,y \ 1). (a(x,y,x) * (z * (u * w))) \ ((a(x,y,x) * (z * u)) * w) = a(a(x,y,x) * z,u,w). (x * (a(y,z,y) * (u * w))) \ ((x * (a(y,z,y) * u)) * w) = a(x * a(y,z,y),u,w). R(T(x,y \ 1),z,u) * (T(x,y \ 1) \ y) = (y / x) * R(T(T(x,y),y \ 1),z,u). ((K(x,y) * z) * (z \ x)) / T(x,y) = a(K(x,y),z,z \ x). ((x / y) * (y * K(x,z))) / T(x,z) = a(K(x,z),y,y \ x). (x \ 1) * (y * L(y \ x,z,u)) = ((x \ 1) * y) * L((y \ 1) * x,z,u). ((x \ 1) * y) * L((y \ 1) * x,z,u) = (x \ 1) * (y * L(y \ x,z,u)). ((x \ 1) * (y \ 1)) * L(((y \ 1) \ 1) * x,y,y \ 1) = (x \ 1) * ((y \ 1) * (y * x)). (x / (x * y)) * R(((x / y) / x) \ 1,z,u) = x / ((x / R((x / y) \ x,z,u)) * y). ((T(x,y) * z) * u) / ((x * z) * u) = R(K(R(x,z,u),y),R(x,z,u),z * u). R(K(R(x,y,z),u),R(x,y,z),y * z) = ((T(x,u) * y) * z) / ((x * y) * z). K(R(x,y,z),u) = ((T(x,u) * y) * z) / ((x * y) * z). ((T(x,y) * z) * u) / ((x * z) * u) = K(R(x,z,u),y). ((T(x,y) * z) * u) / ((x * z) * u) != w | R(K(x,y),x * z,u) = w. R(K(x,y),x * z,u) = K(R(x,z,u),y). R(K(x,y),z,u) = K(R(x,x \ z,u),y). K(R(x,x \ y,z),u) = R(K(x,u),y,z). (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. K(x,R(y,y \ z,u)) != w | R(K(x,y),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). x \ y != K(z,R(u,u \ w,v5)) | x * R(K(z,u),w,v5) = y. (x * R(K(y,z),u,w)) * R(K(z,y),u,w) = x. (K(x,K(y,z)) * u) \ K(x,K(y,z)) != w | u \ 1 = w. R(K(x,y),z,u) \ 1 = R(K(y,x),z,u). 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 * (y * (y \ 1))) / (y \ 1)) \ (x * y) = (x * y) \ (((x * y) * y) * (y \ 1)). x != y \ ((y * z) * (z \ 1)) | a(y,z,z \ 1) = x. a(x * y,y,y \ 1) = ((x * (y * (y \ 1))) / (y \ 1)) \ (x * y). ((x * (y * (y \ 1))) / (y \ 1)) \ (x * y) = a(x * y,y,y \ 1). (x / (y \ 1)) \ (x * y) = a(x * y,y,y \ 1). a(x * y,y,y \ 1) = (x / (y \ 1)) \ (x * y). x != (y / (z \ 1)) \ (y * z) | a(y,z,z \ 1) = x. a(x,y,y \ 1) = a(x * y,y,y \ 1). a(x * y,y,y \ 1) = a(x,y,y \ 1). a(x,y,y \ 1) = a(x / y,y,y \ 1). a(x / y,y,y \ 1) = a(x,y,y \ 1). x * ((y * x) * R(T(x * y,x) \ y,z,u)) = (x * y) * (x * R(x \ 1,z,u)). x * ((y * x) * R((y * x) \ y,z,u)) = (x * y) * (x * R(x \ 1,z,u)). x * (y * (x * R(x \ 1,z,u))) = (x * y) * (x * R(x \ 1,z,u)). (x * y) * (x * R(x \ 1,z,u)) = x * (y * (x * R(x \ 1,z,u))). (x * ((L(x,y,z) \ 1) * u)) \ ((L(x,y,z) \ x) * u) = a(L(x,y,z) \ 1,x,u). (a(x,y,x) * (z * (u * w))) \ (a(x,y,x) * ((z * u) * w)) = a(a(x,y,x) * z,u,w). (x * (a(y,z,y) * (u * w))) \ ((x * (a(y,z,y) * u)) * w) != v5 | a(x,a(y,z,y) * u,w) = v5. a(x,a(y,z,y) * u,w) = a(x * a(y,z,y),u,w). a(x * a(y,z,y),u,w) = a(x,a(y,z,y) * u,w). a(x,y,z) = a(x / a(u,w,u),a(u,w,u) * y,z). a(x / a(y,z,y),a(y,z,y) * u,w) = a(x,u,w). R(T(x,y \ 1),z,u) * (T(x,y \ 1) \ y) = (y / x) * R(x,z,u). (x / (x * y)) * R((x / (x * y)) \ 1,z,u) = x / ((x / R((x / y) \ x,z,u)) * y). L(a(x,y,z),x * (y * z),a(u,w,u)) = a(a(u,w,u) * x,y,z). 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(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,x \ y),z,u) = a(K(x,y),z,u). a(x / a(y,z,y),u,w) = a(x,u,w). a(x / a(y,z,y),a(y,z,y) * u,w) != v5 | a(x,u,w) = v5. a(x,y,z) = a(x,a(u,w,u) * y,z). a(x,a(y,z,y) * u,w) = a(x,u,w). a(x,y,z) = a(x,a(u,w,u) \ y,z). a(x,a(y,z,y) \ u,w) = a(x,u,w). a(x,K(y,K(z,u)) \ w,v5) = a(x,w,v5). a(K(x,y \ x),z,u) = a(K(y,x),z,u). a(x,(y \ 1) \ 1,z) = a(x,y,z). a(K(x,y \ 1),z,u) = a(K(y,x),z,u). 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(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 / y) * R((x / y) \ 1,z,u) != w | (x * R(x \ y,z,u)) / y = w. (x * R(x \ (x * y),z,u)) / (x * y) = x / ((x / R((x / y) \ x,z,u)) * y). (x * R(y,z,u)) / (x * y) = x / ((x / R((x / y) \ x,z,u)) * y). x / ((x / R((x / y) \ x,z,u)) * y) = (x * R(y,z,u)) / (x * y). x / ((x / R(y,z,u)) * y) = (x * R(y,z,u)) / (x * y). (x * R(y,z,u)) / (x * y) = x / ((x / R(y,z,u)) * y). ((x / y) * R(y,z,u)) / x = (x / y) / (((x / y) / R(y,z,u)) * y). (x / y) / (((x / y) / R(y,z,u)) * y) = ((x / y) * R(y,z,u)) / x. ((x * y) * (y \ ((x * y) * z))) / (((x * y) * z) * T(x,y * z)) = ((x * y) * z) / ((((x * y) * z) / R(T(x,y * z),y,z)) * T(x,y * z)). ((x * y) * z) / ((((x * y) * z) / R(T(x,y * z),y,z)) * T(x,y * z)) = ((x * y) * (y \ ((x * y) * z))) / (((x * y) * z) * T(x,y * z)). x / ((x / R(y,z,u)) * y) = (x / y) / (((x / y) / R(y,z,u)) * y). (x / y) / (((x / y) / R(y,z,u)) * y) = x / ((x / R(y,z,u)) * y). (x / y) / (x / R(y,z,u)) = x / ((x / R(y,z,u)) * y). (x / y) / (R(x * (y / x),z,u) \ x) = x / ((x / R(y,z,u)) * y). a(R(x,y,z),x \ 1,u) != w | a(x \ 1,R(x,y,z),u) = w. a(x,L(x,y,z) \ 1,u) = a(L(x,y,z) \ 1,x,u). a(L(x,y,z) \ 1,x,u) = a(x,L(x,y,z) \ 1,u). a(L(x,y,z) \ 1,x,u) != w | a(x,L(x,y,z) \ 1,u) = w. K(x \ (x / R(y,z,u)),x) = (((y * z) * T((y * z) \ z,x)) * u) / (z * u). K(x \ (x / R(y,z,u)),x) = (((y * T(y \ 1,x)) * z) * u) / (z * u). x != ((y * z) * u) / (z * u) | R(y,z,u) = x. R(x * T(x \ 1,y),z,u) = K(y \ (y / R(x,z,u)),y). x != K(y \ (y / z),u) | K(z \ 1,u) = x. K(R(x,y,z) \ 1,u) = R(x * T(x \ 1,u),y,z). R(x * T(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). R(K(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). R(K(x,y),y * z,u) != w | K(x,R(y,z,u)) = w. 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(K(x,y),z,u) = K(R(x \ 1,z,u) \ 1,y). K(R(x \ 1,y,z) \ 1,u) = R(K(x,u),y,z). R(K(x,y),z,u) \ 1 = K(y,R(x \ 1,z,u) \ 1). K(x,R(y \ 1,z,u) \ 1) = R(K(y,x),z,u) \ 1. a(R(K(x,y),(y * x) * z,u),w,v5) = a(K(y \ 1,R(x,z,u)),w,v5). x != R(K(y,z),u,w) \ 1 | R(K(z,y),u,w) = x. R(K(x,y),z,u) = K(x,R(y \ 1,z,u) \ 1). K(x,R(y \ 1,z,u) \ 1) = R(K(x,y),z,u). K(x,R(y,z,u) \ 1) = R(K(x,y \ 1),z,u). R(K(x,y \ 1),z,u) = K(x,R(y,z,u) \ 1). R(K(x \ 1,y),z,u) != w | K(R(x,z,u) \ 1,y) = w. K(R(x,y,z) \ 1,u \ 1) = K(x \ 1,R(u,y,z) \ 1). a(K(x \ 1,R(y,z,u) \ 1),w,v5) = a(K(y,R(x,z,u) \ 1),w,v5). x != a(K(y \ 1,z),u,w) | a(K(z,y),u,w) = x. a(K(R(x,y,z),u),w,v5) = a(R(K(x,u),(u * x) * y,z),w,v5). 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,y \ 1),z,u) != w | a(K(y,x),z,u) = w. a(K(R(x,y,z),u \ 1),w,v5) = a(K(x,R(u,y,z) \ 1),w,v5). a(K(x,R(y,z,u)),w,v5) = a(K(y,R(x,z,u) \ 1),w,v5). a(K(x,R(y,z,u) \ 1),w,v5) = a(K(y,R(x,z,u)),w,v5). a(K(R(x,y,z),u),w,v5) = a(K(x,R(u,y,z)),w,v5). a(K(R(x,y,z),u),w,v5) != v6 | a(K(x,R(u,x * y,z)),w,v5) = v6. a(K(x,R(y,x * z,u)),w,v5) = a(K(x,R(y,z,u)),w,v5). x \ ((x / L(y,z,x / z)) * y) = (((x / z) * (z * y)) / y) \ ((x / z) * z). (((x / y) * (y * z)) / z) \ ((x / y) * y) = x \ ((x / L(z,y,x / y)) * z). (((x / y) * (y * z)) / z) \ ((x / y) * y) = x \ (((x / (y * z)) * y) * z). T((x * (y * z)) \ ((x * y) * z),u) = T((x * (y * z)) \ ((x * y) * z),z * u). T((x * (y * z)) \ ((x * y) * z),z * u) = T((x * (y * z)) \ ((x * y) * z),u). T((x * (y * z)) \ ((x * y) * z),z * u) = T(a(x,y,z),u). T(a(x,y,z),z * u) = T(a(x,y,z),u). L((x \ (x / y)) \ z,(y * x) \ x,y * x) = ((y * x) / y) \ ((y * x) * z). L((x \ (x / y)) \ z,x \ (y \ x),y * x) = ((y * x) / y) \ ((y * x) * z). x != ((y * z) / y) \ ((y * z) * u) | z \ ((z * y) * u) = x. x \ ((x * y) * z) = L((x \ (x / y)) \ z,x \ (y \ x),y * x). L((x \ (x / y)) \ z,x \ (y \ x),y * x) = x \ ((x * y) * z). ((x * y) \ 1) * L(((x \ 1) \ 1) * y,x,x \ 1) = (y \ 1) * ((x \ 1) * (x * y)). ((x * y) \ 1) * L(x * y,x,x \ 1) = (y \ 1) * ((x \ 1) * (x * y)). (x \ 1) * L(x,y,z) != u | x \ L(x,y,z) = u. (x * y) \ L(x * y,x,x \ 1) = (y \ 1) * ((x \ 1) * (x * y)). a(x * y,x,x \ 1) = (y \ 1) * ((x \ 1) * (x * y)). a(x * y,x,x \ 1) = (y \ 1) * L(y,x,x \ 1). x != (y \ 1) * L(y,z,u) | y \ L(y,z,u) = x. x \ L(x,y,y \ 1) = a(y * x,y,y \ 1). a(x * y,x,x \ 1) = y \ L(y,x,x \ 1). x != y \ L(y,z,z \ 1) | a(y,z,z \ 1) = x. a(x,y,y \ 1) = a(y * x,y,y \ 1). a(x * y,x,x \ 1) = a(y,x,x \ 1). a(x * (y / x),x,x \ 1) = (y / x) \ (y * (x \ 1)). a(x,y,y \ 1) = a(y \ x,y,y \ 1). a(x \ y,x,x \ 1) = a(y,x,x \ 1). a(x \ T(x * y,z),x \ 1,(x \ 1) \ 1) = a(T((x \ 1) \ y,z),x \ 1,(x \ 1) \ 1). a(T((x \ 1) \ y,z),x \ 1,(x \ 1) \ 1) = a(x \ T(x * y,z),x \ 1,(x \ 1) \ 1). a(x * y,T(x,z),T(x,z) \ 1) = a(y * K(z,x),T(x,z),T(x,z) \ 1). a(x * K(y,z),T(z,y),T(z,y) \ 1) = a(z * x,T(z,y),T(z,y) \ 1). a(x \ ((x \ 1) \ y),x,x \ 1) != z | (x \ ((x \ 1) \ y)) \ y = z. (x \ ((x \ 1) \ y)) \ y = a((x \ 1) \ y,x,x \ 1). a((x \ 1) \ y,x,x \ 1) = (x \ ((x \ 1) \ y)) \ y. x != (y / z) \ (y * (z \ 1)) | a(y / z,z,y \ 1) = x. a(x / y,y,x \ 1) = a(y * (x / y),y,y \ 1). x != a(y * z,y,y \ 1) | a(z,y,y \ 1) = x. a(x / y,y,y \ 1) = a(x / y,y,x \ 1). a(x / y,y,y \ 1) != z | a(x,y,y \ 1) = z. a(x,y,y \ 1) = a(x / y,y,x \ 1). a(x / y,y,x \ 1) = a(x,y,y \ 1). x != a(y,T(z,u),T(z,u) \ 1) | a(y,z,z \ 1) = x. a(x * y,x,x \ 1) = a(y * K(z,x),T(x,z),T(x,z) \ 1). a(x * K(y,z),T(z,y),T(z,y) \ 1) = a(z * x,z,z \ 1). a(x,y,y \ 1) = a(x * K(z,y),T(y,z),T(y,z) \ 1). a(x * K(y,z),T(z,y),T(z,y) \ 1) = a(x,z,z \ 1). a(x,T(y,z),T(y,z) \ 1) != u | a(x,y,y \ 1) = u. a(x * K(y,z),z,z \ 1) = a(x,z,z \ 1). a(x,y,y \ 1) != z | a(y,y \ 1,x \ 1) = z. a(x,x \ 1,(y * K(z,x)) \ 1) = a(y,x,x \ 1). ((T(x,y) * R(x \ K(y,x),z,u)) \ 1) \ 1 = T(x,y) / (R(x \ K(y,x),z,u) \ 1). T(x,y) * R(x \ K(y,x),z,u) = T(x,y) / (R(x \ K(y,x),z,u) \ 1). T(x,y) / (R(x \ K(y,x),z,u) \ 1) = T(x,y) * R(x \ K(y,x),z,u). x != T(y,z) * R(y \ K(z,y),u,w) | T(y * R(y \ 1,u,w),z) = x. T(x * R(x \ 1,y,z),u) = T(x,u) / (R(x \ K(u,x),y,z) \ 1). T(x,y) / (R(x \ K(y,x),z,u) \ 1) = T(x * R(x \ 1,z,u),y). x != a(y,z \ 1,(z \ 1) \ 1) | a(y,z \ 1,z) = x. a(x \ T(x * y,z),x \ 1,x) = a(T((x \ 1) \ y,z),x \ 1,(x \ 1) \ 1). a(T((x \ 1) \ y,z),x \ 1,(x \ 1) \ 1) = a(x \ T(x * y,z),x \ 1,x). x != a(y,z \ 1,z) | a(y,z,z \ 1) = x. a(x \ T(x * y,z),x,x \ 1) = a(T((x \ 1) \ y,z),x \ 1,(x \ 1) \ 1). a(T((x \ 1) \ y,z),x \ 1,(x \ 1) \ 1) = a(x \ T(x * y,z),x,x \ 1). x != a(y \ z,y,y \ 1) | a(z,y,y \ 1) = x. a(T(x * y,z),x,x \ 1) = a(T((x \ 1) \ y,z),x \ 1,(x \ 1) \ 1). a(T((x \ 1) \ y,z),x \ 1,(x \ 1) \ 1) = a(T(x * y,z),x,x \ 1). K((x * y) * z,T(x,y * z)) = K(y * z,x). K((x * y) * z,x) = K(y * z,x). K((x * y) * (y \ z),x) = K(z,x). (x * y) * ((y \ z) * K(z,x)) = T((x * y) * (y \ z),x). (x * (y * T(T(y,z),z))) \ ((x * R(T(y,z),u,y)) * T(y,z)) = a(x,R(T(y,z),u,y),T(y,z)). L(x * L(x \ 1,y,z),x \ u,x) * (x \ u) = (x \ u) * T(x * L(x \ 1,y,z),u). 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 * R(R(x,K(y,z),K(z,u)) \ (x * K(y,z)),w,v5)) * K(z,u) = R(x,K(y,z),K(z,u)) * (R(K(y,z),w,v5) * K(z,u)). ((x / (y \ 1)) * L(y \ (x \ 1),y,x)) \ 1 = (x / (y \ 1)) \ (1 / ((y \ 1) * (x \ 1))). ((x / (y \ 1)) * ((x * y) \ 1)) \ 1 = (x / (y \ 1)) \ (1 / ((y \ 1) * (x \ 1))). (x / (y \ 1)) \ (1 / ((y \ 1) * (x \ 1))) = ((x / (y \ 1)) * ((x * y) \ 1)) \ 1. 1 \ ((x * y) * ((x / (y \ 1)) \ 1)) = (x / (y \ 1)) \ (1 / ((y \ 1) * (x \ 1))). (x / (y \ 1)) \ (1 / ((y \ 1) * (x \ 1))) = 1 \ ((x * y) * ((x / (y \ 1)) \ 1)). (x / (y \ 1)) \ (1 / ((y \ 1) * (x \ 1))) = 1 \ ((x * y) * (y \ (x \ 1))). x != 1 \ y | y = x. (x * y) * (y \ (x \ 1)) = (x / (y \ 1)) \ (1 / ((y \ 1) * (x \ 1))). (x / (y \ 1)) \ (1 / ((y \ 1) * (x \ 1))) = (x * y) * (y \ (x \ 1)). (x / (y \ 1)) \ (1 / ((x * y) \ 1)) = (x * y) * (y \ (x \ 1)). (x / (y \ 1)) \ (x * y) = (x * y) * (y \ (x \ 1)). (x / (y \ 1)) \ (x * y) != z | a(x,y,y \ 1) = z. a(x,y,y \ 1) = (x * y) * (y \ (x \ 1)). (x * y) * (y \ (x \ 1)) = a(x,y,y \ 1). (x * (y * T(T(y,z),z))) \ ((x * T(y,z)) * T(y,z)) = a(x,R(T(y,z),u,y),T(y,z)). a(x,R(T(y,z),u,y),T(y,z)) = (x * (y * T(T(y,z),z))) \ ((x * T(y,z)) * T(y,z)). a(x,R(T(y,z),u,y),T(y,z)) = (x * (y * T(T(y,z),z))) \ ((x * y) * T(T(y,z),z)). a(x,y,T(T(y,z),z)) = a(x,R(T(y,z),u,y),T(y,z)). a(x,R(T(y,z),u,y),T(y,z)) = a(x,y,T(T(y,z),z)). a(x,T(y,z),T(y,z)) = a(x,y,T(T(y,z),z)). K(x,y) * ((x / (x * y)) * T(z,(x / y) \ x)) = T((x \ (x / y)) * z,(x \ (x / y)) \ 1). K(x,y) * ((x / (x * y)) * T(z,y)) = T((x \ (x / y)) * z,(x \ (x / y)) \ 1). T((x \ (x / y)) * z,(x \ (x / y)) \ 1) = K(x,y) * ((x / (x * y)) * T(z,y)). x != K(y,z) * ((y / (y * z)) * u) | (y \ (y / z)) * u = x. (x \ (x / y)) * T(z,y) = T((x \ (x / y)) * z,(x \ (x / y)) \ 1). T((x \ (x / y)) * z,(x \ (x / y)) \ 1) = (x \ (x / y)) * T(z,y). T((x \ (x / y)) * z,(x / y) \ x) = (x \ (x / y)) * T(z,y). T((x \ (x / y)) * z,y) = (x \ (x / y)) * T(z,y). x * T((y \ (y / x)) * z,x) = (y \ (y / x)) * (z * x). ((x \ (x / y)) * z) * y = (x \ (x / y)) * (z * y). x * T(x \ ((y \ (y / x)) \ (z * x)),u) = T((y \ (y / x)) \ z,u) * x. ((x / y) * T((x / y) \ z,x)) * y = (x \ (x / y)) * (T((x \ (x / y)) \ z,x) * y). (x \ (x / y)) * (T((x \ (x / y)) \ z,x) * y) = ((x / y) * T((x / y) \ z,x)) * y. x * T(x \ (x * (y / (z \ (z / x)))),u) = T((z \ (z / x)) \ y,u) * x. x * T(y / (z \ (z / x)),u) = T((z \ (z / x)) \ y,u) * x. T((x \ (x / y)) \ z,u) * y = y * T(z / (x \ (x / y)),u). x != ((y / z) * T((y / z) \ u,w)) * z | y * T(y \ (u * z),w) = x. x * T(x \ (y * z),x) = (x \ (x / z)) * (T((x \ (x / z)) \ y,x) * z). (x \ (x / y)) * (T((x \ (x / y)) \ z,x) * y) = x * T(x \ (z * y),x). x != y * T(z,y) | z * y = x. (x \ (y * z)) * x = (x \ (x / z)) * (T((x \ (x / z)) \ y,x) * z). (x \ (x / y)) * (T((x \ (x / y)) \ z,x) * y) = (x \ (z * y)) * x. x != (y \ z) * y | T(z,y) = x. T(x * y,z) = (z \ (z / y)) * (T((z \ (z / y)) \ x,z) * y). (x \ (x / y)) * (T((x \ (x / y)) \ z,x) * y) = T(z * y,x). (x \ (x / y)) * (y * T(z / (x \ (x / y)),x)) = T(z * y,x). (x \ (x / y)) * (y * z) != u | y * ((x \ (x / y)) * z) = u. x * ((y \ (y / x)) * T(z / (y \ (y / x)),y)) = T(z * x,y). (x * y) * L(y \ 1,y,z) = y * (((T(y,u) * z) \ ((T(y,u) * z) / y)) * x). x * (((T(x,y) * z) \ ((T(x,y) * z) / x)) * u) = (u * x) * L(x \ 1,x,z). x * (((T(x,y) * z) \ (T(x,y) * (z / x))) * u) = (u * x) * L(x \ 1,x,z). x * (L(x \ 1,x,y) * z) = (z * x) * L(x \ 1,x,y). (x * y) * L(y \ 1,y,z) = y * (L(y \ 1,y,z) * x). ((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)) | T(z / T(y,u),y) = x. T(((x / y) * (y * K(x,z))) / T(x,z),x) = ((x / y) * (y * K(z,x))) \ ((z * x) / 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). x != T(a(K(y,z),u,w),y) | a(K(y,z),u,w) = x. a(K(x,y),z,z \ x) = ((x / z) * (z * K(y,x))) \ ((y * x) / y). ((x / y) * (y * K(z,x))) \ ((z * x) / z) = a(K(x,z),y,y \ x). ((x / y) * (y * K(z,x))) \ ((z * x) / z) != u | a(x / y,y,K(z,x)) = u. a(x / y,y,K(z,x)) = a(K(x,z),y,y \ x). 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 != (K(y,z) * u) * T(w,u) | w * (u * K(y,z)) = x. x * (y * K(x * y,z)) = T(x * y,z) * a(x,y,K(z,x * y)). T(x * y,z) * a(x,y,K(z,x * y)) = x * (y * K(x * y,z)). T(x * y,z) * u != x * (y * K(x * y,z)) | 1 = u. 1 = a(x,y,K(z,x * y)). a(x,y,K(z,x * y)) = 1. a(x,y,K(z,x * (y * z))) = 1. R(L(x,y,z),z * y,T(x,z * y)) \ (x * (z * y)) = (z * y) * a(z,y,T(x,z * y)). L(R(x,y * z,T(x,y * z)),z,y) \ (x * (y * z)) = (y * z) * a(y,z,T(x,y * z)). L(x,y,z) \ (x * (z * y)) = (z * y) * a(z,y,T(x,z * y)). L(x,y,z) \ (x * u) != w | x * (L(x,y,z) \ u) = w. x * (L(x,y,z) \ (z * y)) = (z * y) * a(z,y,T(x,z * y)). (x * y) * a(x,y,T(z,x * y)) = z * (L(z,y,x) \ (x * y)). R(L(x,y \ 1,z \ 1),x * R(x \ 1,y,z),x \ u) \ u = L(R(x \ 1,y,z),x,u) * u. L(R(x,x * R(x \ 1,y,z),x \ u),y \ 1,z \ 1) \ u = L(R(x \ 1,y,z),x,u) * u. x * y != K(z,u / w) * x | K(z,w \ u) = y. K(x,(y * (z \ u)) \ (y * u)) = L(K(x,T(z,w)),u,y). L(K(x,T(y,z)),u,w) = K(x,(w * (y \ u)) \ (w * u)). (x * (y * (y * R(y \ 1,z,u)))) \ ((x * y) * (y * R(y \ 1,z,u))) = a(x,y * R(y \ 1,z,u),y). L(x,L(y \ 1,y,x),L(y \ 1,y,x)) = (y \ (x / y)) \ ((y \ x) * (y \ x)). K(x,(y * ((z * u) * (z \ (z / u)))) \ (y * (z * u))) = (y * z) \ (y * (z * K(x,u))). L(K(x,y),z,u) = K(x,(u * ((z * y) * (z \ (z / y)))) \ (u * (z * y))). K(x,(y * ((z * u) * (z \ (z / u)))) \ (y * (z * u))) = L(K(x,u),z,y). K(x,(y * z) \ (y * (z * u))) = L(K(x,u),z,y). K(x,L(y,z,u)) = L(K(x,y),z,u). L(K(x,y),z,u) = K(x,L(y,z,u)). K(L(x,x \ y,z),u) = K(x,L(u,y,z)). 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). R(K(x,y),z,u) = K(x,L(y,z,u)). K(x,y) = K(x,L(y,y,z)). K(x,L(y,y,z)) = K(x,y). x \ y != K(z,L(u,w,v5)) | y / L(K(z,u),w,v5) = x. x / L(K(y,z),u,w) = x * K(L(z,u,w),y). x \ y != K(z,L(u,w,v5)) | x * L(K(z,u),w,v5) = y. x * L(K(x,y),z,u) = T(x,L(y,z,u)). L(K(x,y),z,u) != w | K(x,y) * a(u,z,K(y,x)) = w. K(x,y) * a(z,u,K(y,x)) = K(x,L(y,u,z)). L(K(x,y),z \ 1,u \ 1) != w | ((z * u) \ 1) \ (((z * K(y,x)) * u) \ 1) = w. ((x * y) \ 1) \ (((x * K(z,u)) * y) \ 1) = K(u,L(z,x \ 1,y \ 1)). L(K(x,y),z,K(x,u)) != w | K(x,y) = w. K(x,y) = K(x,L(y,z,K(x,u))). K(x,L(y,z,K(x,u))) = K(x,y). x \ y != L(K(z,u),w,v5) | x * K(z,L(u,w,v5)) = y. (x * y) * K(z,L(u,x,y)) = y * (T(x,y) * K(z,u)). (x * y) * K(z,L(u,y,x)) = x * (y * K(z,u)). x / y != L(K(z,u),w,v5) | K(z,L(u,w,v5)) * y = x. K(x,L(y,z,u)) * (z * u) = (z * K(x,y)) * u. L(K(x,y),z,u) = K(y * x,L(y,z,u)). K(x * y,L(x,z,u)) = L(K(y,x),z,u). L(K(x,y),z,u) = K(x,L(y * K(w,v5),z,u)). K(x,L(y * K(z,u),w,v5)) = L(K(x,y),w,v5). L(K(x,y),z,u) \ w = w * K(L(y,z,u),x). K(x,L(y,y,z)) != u | K(x,y) = u. (x * y) * K(z,L(u,x,y)) = (x * K(z,u)) * y. K(x,L(y,z,u)) * (z * u) = (K(x,y) * z) * u. K(x,y) * K(y,L(x,z,u)) = a(u,z,K(x,y)). x \ y != K(z,L(u,u,w)) | x * K(z,u) = y. x * K(x,y) = T(x,L(y,y,z)). T(x,L(y,y,z)) = x * K(x,y). K(x,y \ (K(x,z) * u)) = K(x,(K(z,x) * y) \ u). K(x,(K(y,x) * z) \ u) = K(x,z \ (K(x,y) * u)). T(x,y) = T(x,L(y,y,z)). T(x,L(y,y,z)) = T(x,y). x * L(y,y,z) = T(L(y,y,z) * x,y). T(L(x,x,y) * z,x) = z * L(x,x,y). x != K(y,L(z,u,w)) | K(y,R(z,u,w)) = x. K(x,R(y,z,u)) = R(K(x,y),z,u). R(K(x,y),z,u) = K(x,R(y,z,u)). K(x,y \ ((z * u) * K(w,L(v5,z,u)))) = K(x,y \ ((K(w,v5) * z) * u)). R(K(x,y),z,u) != w | R(K(y,x),z,u) \ 1 = w. R(K(x,y),z,u) \ 1 = K(y,R(x,z,u)). x != L(K(y,z),u,w) | K(y,L(z,u,w)) = x. K(x,L(y,z,u)) = K(y * x,L(y,z,u)). K(x * y,L(x,z,u)) = K(y,L(x,z,u)). x \ y != T(L(z,z,u) * w,z) | x * (w * L(z,z,u)) = y. x * (y * L(x,x,z)) = (L(x,x,z) * y) * x. (L(x,x,y) * z) * x = x * (z * L(x,x,y)). x \ 1 != K(y,z) | K(z,y) = x. K(R(x,y,z),u) = R(K(x,u),y,z). R(K(x,y),z,u) = K(R(x,z,u),y). R(K(x,y),z,u) != w | K(x,L(y,z,u)) = w. K(x,L(y,z,u)) = K(R(x,z,u),y). K(R(x,y,z),u) = K(x,L(u,y,z)). K(L(x,y,z),u) = K(x,L(u,y,z)). K(x,L(y,z,u)) != w | K(L(x,z,u),y) = w. K(L(x,y,z),u) = K(x,L(L(u,u,w),y,z)). K(x,L(L(y,y,z),u,w)) = K(L(x,u,w),y). K(x * (y \ (z \ 1)),L(u,w,v5)) = K(u,L(x \ ((y \ 1) \ z),w,v5)). x != K(y,L(z,u,w)) | L(K(y,z),u,w) = x. L(K(x,y),z,u) = K(L(x,z,u),y). K(x,y) = K(L(x,x,z),y). K(L(x,x,y),z) = K(x,z). K(L(x,y,z),u) != w | K(x,L(u,y * x,z)) = w. K(x,L(y,z * x,u)) = K(x,L(y,z,u)). K((x * y) \ z,u) = K(y \ (x \ z),L(u,y,x)). K(x \ (y \ z),L(u,x,y)) = K((y * x) \ z,u). K(x,L(y \ 1,z,u)) != w | K(y,L(x,z,u)) = w. K(L(x,K(y,z),u),y) = K(x,y). ((x * y) * K(z,L(u,y,x))) \ (x * (y * T(z,u))) = L(z,y,x). K(x,y) * L(x,x,z) = L(T(x,y),x,z). L(x,x,y) * (z * K(x,u)) = T(L(x,x,y),u) * z. K((x * K(y,z)) \ u,y) = K(K(y,z) \ (x \ u),y). L(K(x,T(y,z)),u,w) != v5 | K(x,(w * (y \ u)) \ (w * u)) = v5. K(x,(y * (z \ u)) \ (y * u)) = K(L(x,u,y),T(z,w)). K(L(x,y,z),T(u,w)) = K(x,(z * (u \ y)) \ (z * y)). K(x,y) * K(L(y,z,u),x) = a(u,z,K(x,y)). K(x,L(y,z,u)) = K(y \ x,L(y,z,u)). K(x \ y,L(x,z,u)) = K(y,L(x,z,u)). K(x,y) * L(y,y,z) = L(T(y,x \ y),y,z). L(T(x,y \ x),x,z) = K(y,x) * L(x,x,z). K(x * y,L(y,z,u)) != w | K(x,L(y,z,u)) = w. L(K(x,y),z,u) != w | K(L(x,z,u),y) = w. x / L(K(y,z),u,w) = x * L(K(z,y),u,w). K(x,y) * K(y,L(x,z,u)) != w | w = a(u,z,K(x,y)). K(x,y) * K(y,L(x,z,u)) != w | a(u,z,K(x,y)) = w. x \ y != K(z,u) * K(u,L(z,w,v5)) | x * a(v5,w,K(z,u)) = y. x * a(y,z,K(u,x)) = T(x,L(u,z,y)) * K(u,x). T(x,L(y,z,u)) * K(y,x) = x * a(u,z,K(y,x)). K(x,y) * a(z,u,K(y,x)) != w | w = K(x,L(y,u,z)). K(x,y) * a(z,u,K(y,x)) != w | K(x,L(y,u,z)) = w. L(x,x,y) * (z * x) = x * (z * L(x,x,y)). K(x,L(y,z,u)) * a(u,z,K(x,y)) = K(x,y). a(x,y,K(z,u)) * K(z,L(u,y,x)) = K(z,u). K(x,y) * K(L(y,z,u),x) != w | K(x * L(y,z,u),x * y) = w. K(x * L(y,z,u),x * y) = a(u,z,K(x,y)). K(x,y) * K(L(y,z,u),x) != w | a(u,z * y,K(x,y)) = w. a(x,y * z,K(u,z)) = a(x,y,K(u,z)). x \ y != K(z,u) * K(L(u,w,v5),z) | x * a(v5,w,K(z,u)) = y. L(K(x,y),z,u) * a(u,z,K(x,y)) = K(x,y). K(x,y) * K(y,L(x,z,u)) = a(u,y \ z,K(x,y)). a(x,y,K(z,u \ y)) = a(x,u,K(z,u \ y)). L(K(x,y),z,u) \ 1 = L(K(y,x),z,u). x * y != (z * (u * w)) / L(w,u,z) | x \ (z * u) = y. (x * (y * K(z,u))) \ (x * y) = L(K(u,z),y,x). L(K(x,y),z,u) \ 1 != w | K(y,L(x,z / x,u)) = w. K(x,L(y,z / y,u)) = L(K(x,y),z,u). L(K(x,y),z,u) \ 1 != w | K(y,L(x \ 1,z,u) \ 1) = w. K(x,L(y \ 1,z,u) \ 1) = L(K(x,y),z,u). x / y != L(K(z,u),w,v5) \ 1 | L(K(u,z),w,v5) * y = x. L(K(x,y),z,u) * (L(K(y,x),z,u) * w) = w. K(x,L(y \ z,y,u)) = L(K(x,y \ z),z,u). L(K(x,y \ z),z,u) = K(x,L(y \ z,y,u)). K(x,(y * (z / u)) \ (y * z)) = L(K(x,u),z,y). K(x,(y * ((y \ z) / u)) \ z) = L(K(x,u),y \ z,y). L(x,x,y) * z = x * ((z / x) * L(x,x,y)). x * ((y / x) * L(x,x,z)) = L(x,x,z) * y. K(x,y) != z * K(x,L(y,u,w)) | z = a(w,u,K(x,y)). z * K(x,L(y,u,w)) != K(x,y) | z = a(w,u,K(x,y)). x * K(y,L(z,u,w)) != K(y,z) | a(w,u,K(y,z)) = x. K(x,(x / L(y,z,u)) * y) = a(u,z,K(x / L(y,z,u),y)). 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 \ y != a(z,u,K(w,u \ v5)) | x * a(z,v5,K(w,u \ v5)) = y. x * a(y,z,K(u,w \ z)) = x * a(y,w,K(u,w \ z)). K(x,L(y,z,u) \ 1) = L(K(x,1 / y),z,u). L(K(x,1 / y),z,u) = K(x,L(y,z,u) \ 1). 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. L(K(x,y \ (z \ u)),z \ u,z) = K(x,(z * y) \ u). x * y != L(x,z,u) * (x * w) | L(x,z,u) * w = y. L(x,x,y) * z = ((x * z) / x) * L(x,x,y). ((x * y) / x) * L(x,x,z) = L(x,x,z) * y. L(K(x,y \ z),u,w) = K(x,L(z \ y,u,w) \ 1). K(x,L(y \ z,u,w) \ 1) = L(K(x,z \ y),u,w). T(x,y \ 1) * L(y,y,z) = L(y,y,z) * x. x * (y * K(x * y,z)) != u | T(x * y,L(z,y,x)) = u. x * y != K(z,L(u,w,v5)) * (w * v5) | x \ ((w * K(z,u)) * v5) = y. (x * y) \ ((x * K(z,u)) * y) = K(z,L(u,x,y)). (x * K(x * y,z)) * y != u | T(x * y,L(z,x,y)) = u. T(K(x,L(y,z,u)) * (z * u),(z * u) \ 1) = (z * K(x,y)) * u. K(x,L(y \ (z * u),y,K(w,L(v5,z,u))) \ 1) = K(x,((K(w,v5) * z) * u) \ (K(w,L(v5,z,u)) * y)). x != K(y \ z,u) | K(u,z \ y) = x. K(x,y \ (z * u)) = K(u \ (z \ y),L(x,u,z)). K(x \ (y \ z),L(u,x,y)) = K(u,z \ (y * x)). L(K(x,y),z,u) != w | K(x,L(y,z,u)) = w. K(L(x,y,z),u) != w | K(x,L(u,y,z)) = w. K(x,L(y * K(z,u),w,v5)) != v6 | K(x,L(y,w,v5)) = v6. K(x,(y * (z * u)) \ (y * z)) != w | K(u,L(x,z,y)) = w. K(x,L(y,z * x,u)) != w | K(x,L(y,z,u)) = w. K(x,L(L(y,y,z),u,w)) != v5 | K(x,L(y,u,w)) = v5. K(x,L(y,z,u)) = (u * (z * K(y,x))) \ (u * z). (x * (y * K(z,u))) \ (x * y) = K(u,L(z,y,x)). K(x,L(y,z,u)) = K(x,(u * (z / y)) \ (u * z)). K(x,(y * (z / u)) \ (y * z)) = K(x,L(u,z,y)). K(x \ y,L(z,x,u)) = K(z,(u * y) \ (u * x)). K(x * K(y,z),L(u,T(y,z) * x,w)) != v5 | K(x * K(y,z),L(u,y,w)) = v5. L(x * (y * K(z,u)),K(u,L(z,y,x)),K(w,v5)) \ ((x * y) * K(w,v5)) = ((x * (y * K(z,u))) \ (x * y)) * K(w,v5). x != K(y,z) | y \ T(y,z) = x. x \ T(x,L(y,z,u)) = K(x,(u * (z / y)) \ (u * z)). K(x,(y * (z / u)) \ (y * z)) = x \ T(x,L(u,z,y)). x != K(y,((z \ u) * z) \ w) | K(y,u \ w) = x. K(x,y \ ((z \ y) * u)) = K(u \ z,L(x,u,z \ y)). K(x \ y,L(z,x,y \ u)) = K(z,u \ ((y \ u) * x)). K(x,(K(y,x) * z) \ u) != w | K(x,z \ u) = w. K(x,y \ z) = K(x,y \ (K(x,u) * z)). K(x,y \ (K(x,z) * u)) = K(x,y \ u). K(x,y \ (z * (x * u))) = K(x,y \ (z * (u * x))). K(x,y \ (z * (u * x))) = K(x,y \ (z * (x * u))). L(x,x,y) * (z * K(x,u)) = L(T(x,u),x,y) * z. x != K(K(y,z) \ u,w) | K(u,w) = x. K(x \ y,z) = K((x * K(z,u)) \ y,z). K((x * K(y,z)) \ u,y) = K(x \ u,y). K(x \ y,z) = K((K(u,z) * x) \ y,z). K((K(x,y) * z) \ u,y) = K(z \ u,y). K((K(x,y) * z) \ u,y) != w | K(z \ (K(y,x) * u),y) = w. K(x \ (K(y,z) * u),y) = K(x \ u,y). K(x \ (y * (z * u)),z) = K(x \ (y * (u * z)),z). K(x \ (y * (z * u)),u) = K(x \ (y * (u * z)),u). T(x,y) * K(z,u) != w | T(x * K(z,u),y) = w. T(x * K(y,x),L(y,z,u)) = x * a(u,z,K(y,x)). a(x,y,K(z,u)) = a(x,u \ y,K(z,u)). a(x,y \ z,K(u,y)) = a(x,z,K(u,y)). K(x,x \ (y * (z * x))) != u | K(x,y * z) = u. K(x,y * z) = K(x,x \ (y * (x * z))). K(x,x \ (y * (x * z))) = K(x,y * z). K(x,y * (x * z)) = K(x,y * z). L(x,x,y) * (z * K(u,x)) = L(T(x,u \ x),x,y) * z. L(T(x,y \ x),x,z) * u = L(x,x,z) * (u * K(y,x)). K(x \ (y * (z * x)),x) != u | K(y * z,x) = u. K(x * y,z) = K(z \ (x * (z * y)),z). K(x \ (y * (x * z)),x) = K(y * 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). T(x * a(y,z,K(u,x)),u) = T(x,L(u,z,y)). (x \ (y * z)) * K(z,y) = x \ (z * y). x * K(y,z) = ((z * y) / x) \ (y * z). ((x * y) / z) \ (y * x) = z * K(y,x). a(x,y \ z,K(u,y)) != w | a(x,z,K(u,y)) = w. K(x,(y * K(z,u)) \ w) = L(K(x,K(u,z) * (y \ w)),y \ w,y). L(K(x,K(y,z) * (u \ w)),u \ w,u) = K(x,(u * K(z,y)) \ w). x != K(y,(z * u) \ w) | K(y,T(u * z,v5) \ w) = x. K(x,T(y * z,u) \ w) = L(K(x,y \ (z \ w)),z \ w,z). L(K(x,y \ (z \ u)),z \ u,z) = K(x,T(y * z,w) \ u). K(x,(y * z) \ u) * K(z \ (y \ u),x) = a(y,y \ u,K(z \ (y \ u),x)). a(x,x \ y,K(z \ (x \ y),u)) = K(u,(x * z) \ y) * K(z \ (x \ y),u). K(x,L(y \ T(z,u),w,v5)) != v6 | K(x,L(y \ z,w,v5)) = v6. K(x,L(T(y,z) \ u,w,v5)) != v6 | K(x,L(y \ u,w,v5)) = v6. T(x,(y * (z / u)) \ (y * z)) = T(x,L(u,z,y)). T(x,L(y,z / y,u)) = T(x,L(y,z,u)). K(x \ y,L(z,x,a(y,u,u \ 1))) = K(z,L(y,u,u \ 1) \ ((y \ L(y,u,u \ 1)) * x)). x * a(y,z,K(u,z * w)) = x * a(y,w \ 1,K(u,(w \ 1) \ z)). x * a(y,z \ 1,K(u,(z \ 1) \ w)) = x * a(y,w,K(u,w * z)). 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. T(x * y,L(z,y,x)) = T(x * y,z). x \ y != T(z * u,L(w,u,z)) | x * T(z * u,w) = y. L(x,y,z) * T(z * y,x) = z * (y * x). T(x * (x \ y),y \ (x * z)) = T(x * (x \ y),(x \ y) \ z). T(x * (x \ y),(x \ y) \ z) = T(x * (x \ y),y \ (x * z)). x * y != L(z,u,w) * T(w * u,z) | (w * (u * z)) / y = x. (x * (y * z)) / z = L(z,y,x) * (z \ (x * y)). L(x,y,z) * (x \ (z * y)) = (z * (y * x)) / x. ((x * (y * z)) / z) \ (x * y) = (x * y) \ (z * (L(z,y,x) \ (x * y))). (x * y) \ (z * (L(z,y,x) \ (x * y))) = ((x * (y * z)) / z) \ (x * y). T(x * y,L(z,x,y)) = T(x * y,z). R(x,y,z) * T(y * z,x) = (y * z) * R(x,y,z). R(x,y,z) * T(y * z,x) != u | ((y * z) * x) * a(x,y,z) = u. ((x * y) * z) * a(z,x,y) = (x * y) * R(z,x,y). R(x,y,z) * T(y * z,u) != w | ((x * y) * z) * K(y * z,u) = w. ((x * y) * z) * K(y * z,x) = (y * z) * R(x,y,z). x * y != R(z,u,w) * T(u * w,z) | x \ ((u * w) * R(z,u,w)) = y. ((x * y) * z) \ ((x * y) * R(z,x,y)) = a(z,x,y). a(x,y,z) = ((y * z) * x) \ ((y * z) * R(x,y,z)). K(x,y) * R(K(y,x),z,u) = a(K(y,x),z,u). ((x * y) * z) * a(z,x,y) != u | T((z * x) * y,z) = u. T((x * y) * z,x) = (y * z) * R(x,y,z). ((x * y) * z) * u != (x * y) * R(z,x,y) | a(z * K(x * y,z),x,y) = u. a(x * K(y * z,x),y,z) = a(x,y,z). x * y != ((z * u) * w) * a(w,z,u) | x \ ((z * u) * R(w,z,u)) = y. x \ ((y * z) * R((y * z) \ x,y,z)) = a((y * z) \ x,y,z). a(x / (y * z),y,z) = a((y * z) \ x,y,z). x != (y * (y \ z)) * u | z * u = x. x * R(y,z,z \ x) = T((y * z) * (z \ x),y). T((x * y) * (y \ z),x) = z * R(x,y,y \ z). K(x,y) * K(y,R(x,z,u)) = a(K(y,x),z * x,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,u). a(x,y,z) = a((y * z) \ (x * (y * z)),y,z). a((x * y) \ (z * (x * y)),x,y) = a(z,x,y). a(R(x / y,y,z),y,z) = a((y * z) \ (x * z),y,z). a((x * y) \ ((x * y) / z),x,y) = a((x * y) \ (z \ (x * y)),x,y). K(a(K(x,y),z,u),w) = 1. x != y * z | y * (u * (u \ z)) = x. x * (y * (y \ R(z,u,u \ x))) = T((z * u) * (u \ x),z). T((x * y) * (y \ z),x) = z * (u * (u \ R(x,y,y \ z))). K(x,y) * K(y,R(x,z,u)) != w | a(K(y,x),z,u) = 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). K(x * y,L(z,x,y)) = K(x * y,z). K(x,L(y,z,z \ x)) = K(z * (z \ x),y). K(x,L(y,z,z \ x)) = K(x,y). a(R(T(x,y \ 1),y,z),y,z) = a((y * z) \ ((y * x) * z),y,z). a((x * y) \ ((x * z) * y),x,y) = a(R(T(z,x \ 1),x,y),x,y). L(K(x,y),z,u) * (K(y,x) * w) != v5 | a(u,z,K(y,x)) * w = v5. a(x,y,K(z,u)) * w = a(x,y,K(u,z)) \ w. a(x,y,K(z,u)) \ w = a(x,y,K(u,z)) * w. x \ y != L(K(z,u),w,v5) * (K(u,z) * v6) | y / (a(v5,w,K(u,z)) * v6) = x. x / (a(y,z,K(u,w)) * x) = a(y,z,K(w,u)). x != a(y,z,K(u,w)) * v5 | v5 * a(y,z,K(u,w)) = x. x * a(y,z,K(u,w)) = a(y,z,K(w,u)) \ x. a(x,y,K(z,u)) \ w = w * a(x,y,K(u,z)). (x * a(y,z,K(u,w))) \ x = a(y,z,K(w,u)). a(x,y,K(z * u,z)) \ w = w * a(x,y,K(z,u)). x \ T(y,y \ z) != u | x \ ((y \ z) \ z) = u. (T(x,x \ y) * a(z,u,K(w,v5))) \ ((x \ y) \ y) = a(z,u,K(v5,w)). x \ y != y * a(z,u,K(w,v5)) | a(z,u,K(v5,w)) = 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)) \ w != a(x,y,K(u,z)) * v5 | v5 = w. 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)). 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,u)) = a(x,y,K(z \ 1,u)). a(x,y,K(z \ 1,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(z,z \ u)) = a(x,y,K(z,u)). a(x,y,K(z,u \ z)) = a(x,y,K(u,z)). a(x,y,K(z \ u,u)) = a(x,y,K(u,z)). x != a(y,z,K(u \ w,w)) | a(y,z,K(w,u)) = x. a(x,y,K(z,u)) = a(x,y,K(u \ 1,z)). a(x,y,K(z \ 1,u)) = a(x,y,K(u,z)). a(x,y,K(z \ u,w)) = a(x,y,K(w,u \ z)). K(x,y * (L(y,z,u) \ x)) = a(u,z,K(x / L(y,z,u),y)). L(K(x,y \ (z \ u)),z \ u,z) != w | K(x,(z * y) \ u) = w. T((x * y) * (y \ z),x) != u | (z * x) * a(x,y,y \ z) = u. (x * y) * a(y,z,z \ x) = x * (u * (u \ R(y,z,z \ x))). K(x,y * (L(y,z,u) \ x)) = a(u,z,K(y \ x,y)). x != a(y,z,K(u \ w,u)) | a(y,z,K(w,u)) = x. a(x,y,K(z,u)) = K(z,u * (L(u,y,x) \ z)). K(x,y * (L(y,z,u) \ x)) = a(u,z,K(x,y)). K(x,y * (L(y,z,u) \ x)) != w | K(x,x * (L(y,z,u) \ y)) = w. K(x,x * (L(y,z,u) \ y)) = a(u,z,K(x,y)). K(x,L(y,z,u) \ y) = a(u,z,K(x,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) | a(z,u,K(v5,w)) = x. a(x,y,K(z,u)) = K(u * (L(z,y,x) \ z),u). 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 * (y * K(z,u))) \ (x * (y * T(z,u))) = L(z,y,x). L(x,y * K(x,z),u) = L(x,y,u). L(T(x,y),T(x,z),u) = L(T(x,y),x,u). L(x,T(T(x,y),z),u) = L(T(T(x,y),y \ 1),T(x,y),u). L(T(T(x,y),y \ 1),T(x,y),z) = L(x,T(T(x,y),u),z). L(T(T(x,y),y \ 1),T(x,y),z) = L(x,x,z). L(T(x,y),x,x * z) != u | L(T(x,y),x,z) = u. L(T(T(x,y),y \ 1),T(x,y),z) = L(x,x,T(x,y) * z). L(T(T(x,y),y \ 1),T(x,y),z) != u | L(x,x,z) = u. L(x,x,y) = L(x,x,T(x,z) * y). L(x,x,T(x,y) * z) = L(x,x,z). L(x,x,y * x) = L(x,x,y). x \ y != L(z,z,u * z) | x * L(z,z,u) = y. ((x * y) * y) * L(y,y,x) = (x * y) * (y * y). (x * (y * y)) * y = (x * y) * (y * y). ((x / y) * (y * y)) * y != z | x * (y * y) = z. x * (y * y) = T(T((y * y) * x,y),y). T(T((x * x) * y,x),x) = y * (x * x). (x * (y * y)) \ ((y * y) * x) = K(y,(y * y) * x) * K(y,(y * y) * x). K(x,(x * x) * y) * K(x,(x * x) * y) = (y * (x * x)) \ ((x * x) * y). T(x * (x \ y),(x \ y) \ z) = T(y,y \ (x * z)). T(x,y * z) = T(y * (y \ x),(y \ x) \ z). T(x * (x \ y),(x \ y) \ z) = T(y,x * z). T(x,(y \ x) \ z) = T(x,y * z). T(x,y \ ((z \ u) \ 1)) != w | T(x,y \ (u \ z)) = w. T(x,(y \ x) \ (z \ u)) = T(x,y * ((u \ z) \ 1)). T(x,y \ z) = T(x,(x / y) * z). T(x,(x / y) * z) = T(x,y \ z). T(x,(y / z) * u) != w | T(x,u * (z \ y)) = w. T(x,y * (z \ x)) = T(x,z \ y). (((x * y) / L(z,y,x)) * z) / T(x * y,L(z,y,x) \ z) = ((x * (y * z)) / z) \ (x * y). T(x,(y \ x) * z) = T(x,y \ z). T(x,y * (T(z,u) * w)) != v5 | T(x,y * (z * w)) = v5. T(x,(y \ x) * (z * u)) = T(x,y \ (T(z,w) * u)). T(x,y \ (T(z,u) * w)) = T(x,(y \ x) * (z * w)). T(x,(y \ z) \ u) = T(x,(u \ x) \ (z \ y)). T(x,(y \ x) \ (z \ u)) = T(x,(u \ z) \ y). T(x,(y \ x) \ z) != u | T(x,y * z) = u. T(x,y * (z \ u)) = T(x,(u \ z) \ y). T(x,(y \ z) \ u) = T(x,u * (z \ y)). T(x,y \ (y \ (z * u))) = T(x,(y \ u) * (y \ z)). T(x,(y / z) \ u) = T(x,u * (y \ z)). T(x,y) = T(x,(y * (z \ u)) * (u \ z)). T(x,(y * (z \ u)) * (u \ z)) = T(x,y). T(x * K(y,z),z \ y) != u | z * T(x / z,y) = u. (x \ y) * T(z / (x \ y),u) = T(z * K(u,x \ y),u * (y \ x)). T(x * K(y,z \ u),y * (u \ z)) = (z \ u) * T(x / (z \ u),y). T(x,(y \ z) * ((z \ y) * u)) = T(x,u). T(x,(y \ z) * (((z \ y) * L((z \ y) \ 1,u,w)) * v5)) = T(x,v5 * L(v5 \ ((z \ y) \ v5),u,w)). x != T(y,(z \ y) * u) | T(y,z \ u) = x. T(x,y \ (z * u)) = T(x,y \ (T(z,w) * u)). T(x,y \ (T(z,u) * w)) = T(x,y \ (z * w)). T(x,y \ ((z \ u) * w)) = T(x,y \ ((u / z) * w)). T(x,y \ ((z / u) * w)) = T(x,y \ ((u \ z) * w)). T(x,(y \ 1) \ ((y \ 1) \ ((z \ 1) * u))) = T(x,((y \ 1) \ u) * ((z / y) \ 1)). T(x \ y,T(z,u)) = T(x \ y,y \ ((x \ y) * (z * x))). x * y != T(z,u \ ((w / v5) * v6)) | x \ T(z,u \ ((v5 \ w) * v6)) = y. x \ T(x,y \ ((z \ u) * w)) = K(x,y \ ((u / z) * w)). x != T(y,z \ (y * u)) | T(y,z \ u) = x. T(x \ y,y \ (z * x)) = T(x \ y,T(z,u)). T(x \ y,T(z,u)) = T(x \ y,y \ (z * x)). T(x \ y,z) = T(x \ y,y \ (z * x)). T(x \ y,y \ (z * x)) = T(x \ y,z). K(x,y \ ((z \ u) * w)) = K(x,y \ ((u / z) * w)). K(x,y \ ((z / u) * w)) = K(x,y \ ((u \ z) * w)). K(x,y \ ((z / u) * w)) != v5 | K(x,y \ ((u \ z) * w)) = v5. K(x,L(y,z,u / z)) = K(x,u \ ((z \ u) * (y * z))). K(x,y \ ((z \ y) * (u * z))) = K(x,L(u,z,y / z)). K(x,y \ ((z \ y) * (u * z))) = K(x,L(u,z,z \ y)). x \ (((x / (y * z)) * y) * z) = a((y * z) \ x,y,z). x \ (((x / (y * z)) * y) * z) != u | (((x / y) * (y * z)) / z) \ ((x / y) * y) = u. (((x / y) * (y * z)) / z) \ ((x / y) * y) = a((y * z) \ x,y,z). x != a(K(y,z \ 1),u,w) | a(K(z,y),u,w) = x. 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). L(K(x,K(y,z) * (u \ w)),u \ w,u) != v5 | K(x,(u * K(v6,v7)) \ w) = v5. K(x,L(y \ (z \ u),z \ u,z)) != w | K(x,(z * y) \ u) = w. L(x \ R(x,y,y \ z),x,z) = a(x,y,y \ z). a(x \ 1,R(x,y,z),(x \ 1) \ u) = L(R(x,y,z) \ R(R(x,y,z),x \ 1,(x \ 1) \ u),R(x,y,z),u). L(R(x,y,z) \ R(R(x,y,z),x \ 1,(x \ 1) \ u),R(x,y,z),u) = a(x \ 1,R(x,y,z),(x \ 1) \ u). L(T(x \ R(x,y,y \ z),u),x,z) = T(a(x,y,y \ z),u). L(T(x,y \ (z \ 1)),z,y) != u | (y * (z * x)) / (y * z) = u. (x * (y * (y \ R(y,z,z \ x)))) / (x * y) = T(a(y,z,z \ x),x \ (y \ 1)). L(T(x \ R(x,y,z),u),x,y * z) = T(a(x,y,y \ (y * z)),u). T(a(x,y,y \ (y * z)),u) = L(T(x \ R(x,y,z),u),x,y * z). T((x * K(y,z)) * u,(x * u) \ 1) = (x * K(y,z)) * u. T((x * K(y,z)) * u,x \ (u \ 1)) = (x * K(y,z)) * u. x * a(y,z \ 1,K(u,w * z)) = x * a(y,w,K(u,w * z)). T(x * K(y,z),y * (z \ y)) = (y \ z) * T(x / (y \ z),y). x * T(y * K(z,z / x),z * ((z / x) \ z)) = T(y * x,z). x * T(y * K(z,x \ z),z * ((z / x) \ z)) = T(y * x,z). x * T(y * K(x,z),z * ((z / x) \ z)) = T(y * x,z). x * T(y * K(x,z),z * x) = T(y * x,z). T(x,y) * T(z,y * x) = T(z * x,y). x \ ((y * z) * x) = T(z,x) * T(y,x * z). T(x,y) * T(z,y * x) = y \ ((z * x) * y). T(x,y) * T(z,x * y) = T(z * x,y). T(x,y * z) * T(y,z) = T(T(x,y) * y,z). L(x,y,z) * (y * z) = (x * y) * z. L(x,y,y \ z) * z = (x * y) * (y \ z). R(x,y,z) = L(x,y,z). x * (y * z) != (u * y) * z | L(u,y,z) = x. L(x,y,z) = R(x,y,z). (x * y) * z != u * (y * z) | L(x,y,z) = u. ((x * y) * z) \ (x * (y * z)) = a(z,T(y,z),T(x,y * z)). a(x,T(y,x),T(z,y * x)) = ((z * y) * x) \ (z * (y * x)). T(T(x,y),y) = T(x,y * y). R(x,y,z \ (z / y)) != u | R(x,y,L(y \ 1,y,z)) = u. R(x,y,L(y \ 1,y,z)) = L(x,y,z \ (z / y)). R(x,y \ 1,z \ 1) != u | L(x \ 1,y,z) \ 1 = u. L(x \ 1,y,z) \ 1 = L(x,y \ 1,z \ 1). L(x,y \ 1,z \ 1) = L(x \ 1,y,z) \ 1. R(x \ 1,y \ 1,z \ 1) != u | L(x,y,z) \ 1 = u. L(x,y,z) \ 1 = L(x \ 1,y \ 1,z \ 1). L(x \ 1,y \ 1,z \ 1) = L(x,y,z) \ 1. x / y != R(z,u,w) | L(z,u,w) * y = x. L(x,y,z) * (z * y) = (x * y) * T(z,y). x * y != R(z,u,w) | L(z,u,w) / y = x. L(x,y \ L(y,z,u),y) / y = L(y,z,u) / (y * (x \ L(y,z,u))). x * L(x \ y,z,z \ x) = ((y / x) * z) * (z \ x). (x / (L(y / x,z,u) \ y)) * y = x * R(x \ y,z,u). L(x / (x * y),z,u) \ (x / y) = x / (y * R(y \ 1,z,u)). T(x,L(y,z \ 1,u \ 1) \ w) = T(x,w * L(y \ 1,z,u)). T(x,y) / (L(x \ K(y,x),z,u) \ 1) = T(x * R(x \ 1,z,u),y). L(R(x,x * L(x \ 1,y,z),x \ u),y \ 1,z \ 1) \ u = L(R(x \ 1,y,z),x,u) * u. (x * T(x,y * y)) / ((x / y) \ T(x,y)) = ((x / y) \ 1) \ x. x * (y * T(z,x * y)) = (z * y) * T(x,y). T(x,y * z) * T(y,z) = T(T(x * y,y),z). T(x,y * z) = ((z \ (y \ x)) * z) * T(y,z). ((x \ (y \ z)) * x) * T(y,x) = T(z,y * x). T(x \ y,z) * T(x,z) = T(y,x * z). x != T(y,(z \ u) * ((u \ z) * w)) | T(y,w) = x. T(x,y) = T((z \ u) \ x,(u \ z) * y) * T(z \ u,(u \ z) * y). T((x \ y) \ z,(y \ x) * u) * T(x \ y,(y \ x) * u) = T(z,u). T(x \ y,x * z) * T(x,z) = T(y,x * (x * z)). T(x \ y,z \ (u \ w)) * T(x,z \ ((w \ u) \ 1)) = T(y,x * (z \ ((w \ u) \ 1))). T((x \ y) \ z,y \ (u * x)) * T(x \ y,u) = T(z,(x \ y) * (y \ (u * x))). R(x,y,z) != u | ((x * y) * z) / (y * z) = u. ((x * y) * L(y \ 1,y,z)) / (y * L(y \ 1,y,z)) = L(x,y,z \ (z / y)). T(x,y * z) * T(y,z) != u | T(T(x * y,y),z) = u. T(T((x \ y) * x,x),z) = T(y,x * (x * z)). T(T(T(x,y),y),z) = T(x,y * (y * z)). T(T(x,y * y),z) = T(x,y * (y * z)). T(T(T(x,y * y),z),u) = T(T(x,z),y * (y * u)). T(T(x,((y * z) * y) * L(z,y,y * z)),u) = T(x,(y * z) * ((y * z) * u)). T(T(x,y * (y * z)),u) = T(T(x,z),y * (y * u)). (x / y) * (y * (x \ z)) = ((z / x) * y) * (y \ x). ((x / y) * z) * (z \ y) = (y / z) * (z * (y \ x)). ((x / R(y,z,u)) * y) * (y \ R(y,z,u)) = (y \ R(y,z,u)) * (y * (R(y,z,u) \ x)). (x / (L(y / x,z,u) \ y)) * y = x * L(x \ y,z,u). (x * L(x \ y,z,u)) / y = x / (L(y / x,z,u) \ y). (x * L(x \ y,z,u)) / y != w | (x / y) * L((x / y) \ 1,z,u) = w. (x / y) * L((x / y) \ 1,z,u) = x / (L(y / x,z,u) \ y). x != ((y * z) * u) \ (y * (z * u)) | (y * z) \ ((y * (z * u)) / u) = x. (x * y) \ ((x * (y * z)) / z) = a(z,T(y,z),T(x,y * z)). a(x,T(y,x),T(z,y * x)) = (z * y) \ ((z * (y * x)) / x). a(x,T(y,x),T(z,x * y)) = (z * y) \ ((z * (y * x)) / x). L(x / (x * y),z,u) \ (x / y) = x / (y * L(y \ 1,z,u)). T(x,y) / (L(x \ K(y,x),z,u) \ 1) = T(x * L(x \ 1,z,u),y). T((x \ y) \ z,u * (y \ x)) * T(x \ y,(y \ x) * u) = T(z,u). (x / y) / (L((y \ x) \ K(x \ 1,y \ x),z,u) \ 1) = T((y \ x) * L((y \ x) \ 1,z,u),x \ 1). T((x \ y) \ z,u * (y \ x)) * T(x \ y,u) = T(z,u). T((T(T(x,y),z) / u) \ w,v5 * (T(T(T(x,u \ 1),y),z) \ u)) * T(u \ T(T(T(x,u \ 1),y),z),v5) = T(w,v5). (x \ 1) \ (y \ 1) != z | T((x \ y) \ 1,y \ 1) = z. T(((x * y) \ ((x * K(z,u)) * y)) \ 1,((x * K(z,u)) * y) \ 1) = K(u,L(z,x \ 1,y \ 1)). K(x,y \ (z * (T(u,z) * K(w,v5)))) = K(x,y \ ((K(w,v5) * u) * z)). x != (y * z) \ (z * y) | K(z,y) = x. K(x * x,y) = K(x,(x * x) * y) * K(x,(x * x) * y). K(x,(x * x) * y) * K(x,(x * x) * y) = K(x * x,y). K(x,y) * K(x,(x * x) * y) = K(x * x,y). K(x,y) * K(x,y) = K(x * x,y). K(x,y) * K(x,y) != z | K(x * x,y) = z. K(x * x,y) \ K(K(x,y),z) = K(x,y) \ (K(x,y) \ K(K(x,y),z)). K(x,y) \ (K(x,y) \ K(K(x,y),z)) = K(x * x,y) \ K(K(x,y),z). K(x,y) \ (K(x,y) \ K(K(x,y),z)) = K(x * x,y) \ 1. L(x,y,(K(z,u) \ (K(z,u) \ K(K(z,u),w))) \ 1) != K(z * z,u) \ 1 | K(z,u) \ (K(z,u) \ K(K(z,u),w)) = x. K(x,y) \ (K(x,y) \ K(K(x,y),z)) = K(y,x * x). K(x,y) \ (K(x,y) \ 1) = K(y,x * x). K(x,y) \ K(y,x) = K(y,x * x). K(x,y) * K(x,y) = K(x,y * y). K(x * x,y) = K(x,y * y). x \ y != K(z * z,u) | x * K(z,u * u) = y. (x * x) * K(x,y * y) = T(x * x,y). x * T(x,y * y) = T(x * x,y). T(x * x,y) / ((x / y) \ T(x,y)) = ((x / y) \ 1) \ x. T(x * x,y) / (x * (y / x)) = ((x / y) \ 1) \ x. (x * (y / x)) \ (x * x) = ((x / y) \ 1) \ x. (x * (T(y,x) / x)) \ (x * x) = ((y \ x) \ 1) \ x. x \ (y * y) = ((x \ y) \ 1) \ y. ((x \ y) \ 1) \ y = x \ (y * y). ((x \ (x / y)) \ 1) \ x = (x * y) \ (x * x). (x \ 1) \ (x \ y) = (x \ (y / x)) \ ((x \ y) * (x \ y)). (x \ (y / x)) \ ((x \ y) * (x \ y)) = (x \ 1) \ (x \ y). T(x,y \ (z * z)) != u | T(x,z * (y \ z)) = u. L(x,y,y * x) = (((y * x) \ ((y * x) / y)) \ 1) \ (y * x). (((x * y) \ ((x * y) / x)) \ 1) \ (x * y) = L(y,x,x * y). T(x,y * ((z \ u) \ y)) = T(x,(y * y) * (u \ z)). T(x,(y * y) * (z \ u)) = T(x,y * ((u \ z) \ y)). T(x,(y * y) * ((z \ 1) * u)) != w | T(x,y * (((u \ 1) * z) \ y)) = w. T(x,(y * y) * (z \ u)) != w | T(x,y * ((u \ z) \ y)) = w. (x \ (y / x)) \ ((x \ y) * (x \ y)) != z | L(y,L(x \ 1,x,y),L(x \ 1,x,y)) = z. L(x,L(y \ 1,y,x),L(y \ 1,y,x)) = (y \ 1) \ (y \ x). L(x,x \ 1,y \ 1) \ (x * y) = L(y,x,x * y). T(x,L(y / z,(y / z) \ 1,z \ 1) \ ((y / z) * z)) = T(x,L(z,y,(y / z) * z)). K(x,(y * K(z,u)) \ w) = K(x,(y * K(v5,v6)) \ w). x != K(y,(z * K(u,y)) \ w) | K(y,z \ w) = x. K(x,y \ z) = K(x,(y * K(u,w)) \ z). K(x,(y * K(z,u)) \ w) = K(x,y \ w). K(x,((y \ z) * u) \ w) = K(x,((z / y) * u) \ w). K(x,((y / z) * u) \ w) = K(x,((z \ y) * u) \ w). K(x,(y * (z * K(u,w))) \ v5) = K(x,(y * z) \ v5). K(x,(((y \ 1) / z) * u) \ w) != v5 | K(x,w * ((u \ 1) * ((z \ 1) \ y))) = v5. K(x,y * ((z \ 1) * ((u \ 1) \ w))) = K(x,((u \ (w \ 1)) * z) \ y). K(x,L(L(y,K(z,u),w),w * K(z,u),v5)) = K(x,(v5 * w) \ (v5 * (w * (K(z,u) * y)))). K(x * K(y,z),L(u,y,w)) = K(x,L(u,T(y,z) * x,w)). x != K(y,L(z,u * y,w)) | K(y,L(z,u,w)) = x. K(x,L(y,T(z,u),w)) = K(x * K(z,u),L(y,z,w)). K(x * K(y,z),L(u,y,w)) = K(x,L(u,T(y,z),w)). K(x,L(y,z,u)) = K(x,L(y,T(z,w),u)). K(x,L(y,T(z,u),w)) = K(x,L(y,z,w)). x \ y != K(z,L(u,T(w,v5),v6)) | x * K(z,L(u,w,v6)) = y. x * K(x,L(y,z,u)) = T(x,L(y,T(z,w),u)). T(x,L(y,T(z,u),w)) = x * K(x,L(y,z,w)). a(x,T(y,z),K(u,w)) * K(u,L(w,y,x)) = K(u,w). T(x,L(y,z,u)) = T(x,L(y,T(z,w),u)). T(x,L(y,T(z,u),w)) = T(x,L(y,z,w)). a(x,y,K(z,u)) = a(x,T(y,w),K(z,u)). a(x,T(y,z),K(u,w)) = a(x,y,K(u,w)). a(x,y,K(z \ u,w)) != v5 | a(x,y,K(w,u \ z)) = v5. a(x,x \ y,K(z,(x \ y) \ u)) = K(z,(x * u) \ y) * K(u \ (x \ y),z). (x * (L(x \ 1,x,y) * z)) / (x * L(x \ 1,x,y)) = L(z,x,y \ (y / x)). T(T(x,(y * (z * y)) * L(z,y,y * z)),u) = T(x,(y * z) * ((y * z) * u)). T(T(x,(y * (z * y)) * L(z,y,y)),u) = T(x,(y * z) * ((y * z) * u)). T(T(x,L(y,z,z) * (z * (y * z))),u) = T(x,(z * y) * ((z * y) * u)). K(a(x,y,z),u) * a(x * y,z,a(x,y,K(z,u))) = K(L(z,y,x) \ z,u). 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. x != y * 1 | y = x. K(a(x,y,z),u) = K(L(z,y,x) \ z,u). 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). x != y / (y * K(z,u)) | K(u,z) = x. K(x,a(y,z,u)) = K(x,L(u,z,y) \ u). K(x,L(y,z,u) \ y) = K(x,a(u,z,y)). K(x,L(y,z,u) \ y) != w | a(u,z,K(x,y)) = w. a(x,y,K(z,u)) = K(z,a(x,y,u)). x \ y != K(z,L(u,w,v5) \ u) | x * K(z,a(v5,w,u)) = y. x * K(x,a(y,z,u)) = T(x,L(u,z,y) \ u). T(x,L(y,z,u) \ y) = x * K(x,a(u,z,y)). x != K(y,z) | K(y,y * z) = x. K(x,x * a(y,z,u)) = a(y,z,K(x,u)). a(x,y,K(z,u)) \ w = w * K(u,a(x,y,z)). T(x,a(y,z,u)) = T(x,L(u,z,y) \ u). T(x,L(y,z,u) \ y) = T(x,a(u,z,y)). K(a(x,y,z),u) = a(x,y,K(z,u)). a(x,y,K(z,u)) = K(a(x,y,z),u). x \ y != y * K(L(z,u,w),v5) | L(K(v5,z),u,w) = x. L(K(a(x,y,z),u),w,v5) = a(x,y,K(z,L(u,w,v5))). a(x,y,K(z,L(u,w,v5))) = L(K(a(x,y,z),u),w,v5). x != K(a(y,z,u),w) | K(w,((y * z) * u) \ (y * (z * u))) = x. K(x,((y * z) * u) \ (y * (z * u))) = a(y,z,K(u,x)). x != K(a(K(y,z),u,w),v5) | 1 = x. 1 = a(K(x,y),z,K(u,w)). a(K(x,y),z,K(u,w)) = 1. a(x,y,K(z,x * (y * z))) != u | 1 = u. 1 = K(a(x,y,z),x * (y * z)). K(a(x,y,z),x * (y * z)) = 1. L(K(x,y),z,K(u,w)) = K(x,y). 1 * ((x * y) * z) = a(x,y,z) * (x * (y * z)). a(x,y,z) * (x * (y * z)) = 1 * ((x * y) * z). K(x,L(y,z,K(u,w))) = K(x,y). K(L(x,y,K(z,u)),w) = K(x,w). x != K(y,z) | K(y,T(T(z,u),w)) = x. K(x,T(T(y,z),u)) = L(K(x,y),w,K(v5,v6)). L(K(x,y),z,K(u,w)) = K(x,T(T(y,v5),v6)). K(x,L(y,z,T(u,w))) = K(x,L(y,z,u)). K(x,L(y,z,a(u,w,K(v5,v6)))) = K(x,y). T(x,L(y,z,K(u,w))) = (K(y,x) / x) \ 1. K(T(x,y) * z,T(x,y) * u) = K(T(x,y) * z,L(z \ u,z,x)). K(T(x,y) * z,L(z \ u,z,x)) = K(T(x,y) * z,T(x,y) * u). K(x,L(y,z,u \ w)) = K(x,L(y,z,w / u)). K(x,L(y,z,u / w)) = K(x,L(y,z,w \ u)). K(x,L(y,z,(u \ 1) \ (w \ 1))) = K(x,L(y,z,(u \ w) \ 1)). (a(x,y,K(z,u)) * w) * K(v5,v6) = a(x,y,K(z,u)) * (w * K(v5,v6)). L(K(x,y),z,K(u,w)) != v5 | K(x,y) = v5. K(x,L(y \ z,u,K(w,v5)) \ 1) != v6 | K(x,z \ y) = v6. T(x,L(y,z,K(u,w))) != v5 | T(x,y) = v5. T(x,L(y,z,T(u,w))) != v5 | T(x,L(y,z,u)) = v5. x != 1 * y | y = x. (x * y) * z = a(x,y,z) * (x * (y * z)). a(x,y,z) * (x * (y * z)) = (x * y) * z. x * y != 1 * z | z / y = x. ((x * y) * z) / (x * (y * z)) = a(x,y,z). a(x,y,z) = ((x * y) * z) / (x * (y * z)). a(x / y,y,x \ z) \ z = (x / y) * (y * (x \ z)). x \ y != a(z,u,w) * (z * (u * w)) | y / ((z * u) * w) = x. (x * (y * z)) / ((x * y) * z) = (x * (y * z)) \ ((x * (y * z)) / a(x,y,z)). (x * (y * z)) \ ((x * (y * z)) / a(x,y,z)) = (x * (y * z)) / ((x * y) * z). T(x,(((y / z) \ 1) * u) * w) = T(x,a((y / z) \ 1,u,w) * (((z \ y) \ 1) * (u * w))). T(x,a((y / z) \ 1,u,w) * (((z \ y) \ 1) * (u * w))) = T(x,(((y / z) \ 1) * u) * w). a(x,y,y \ z) = ((x * y) * (y \ z)) / (x * z). ((x * y) * (y \ z)) / (x * z) = a(x,y,y \ z). a(x,K(y,z),u) = ((x * K(y,z)) * u) / (x * (u * K(y,z))). ((x * K(y,z)) * u) / (x * (u * K(y,z))) = a(x,K(y,z),u). T(a(x,y,z),(x * y) * z) = (x * (y * z)) \ ((x * y) * z). (x * (y * z)) \ ((x * y) * z) = T(a(x,y,z),(x * y) * z). a(x,y,y \ T(z,x)) = ((x * y) * (y \ T(z,x))) / (z * x). ((x * y) * (y \ T(z,x))) / (z * x) = a(x,y,y \ T(z,x)). T((x * y) \ ((x * z) * (z \ y)),(x * y) \ 1) = a(x,z,z \ y). a(x,y,K(z,L(u,w,v5))) = L(a(x,y,K(z,u)),w,v5). x \ y != L(a(z,u,K(w,v5)),v6,v7) | x * a(z,u,K(w,L(v5,v6,v7))) = y. (x * y) * a(z,u,K(w,L(v5,y,x))) = x * (y * a(z,u,K(w,v5))). a(x \ 1,y,K(z,u)) != w | K((((x \ 1) * y) * z) * (((y * z) \ 1) * x),u) = w. a(x,y,y \ 1) \ 1 = (x / y) * (y * (x \ 1)). (x / y) * (y * (x \ 1)) = a(x,y,y \ 1) \ 1. x != a(y,z,z \ 1) \ 1 | a(z,z \ 1,y) = x. a(x,x \ 1,y) = (y / x) * (x * (y \ 1)). (x / y) * (y * (x \ 1)) = a(y,y \ 1,x). x \ y != (z / u) * (u * (z \ 1)) | x * a(u,u \ 1,z) = y. x * a(y,y \ 1,x) = y \ ((y \ 1) \ x). (x * (y * K(z,u))) / (y * (T(x,y * K(z,u)) * K(z,u))) = a(y,K(z,u),T(x,y * K(z,u))). a(x,y,z) = T(a(x,y,z),(x * y) * z). T(a(x,y,z),(x * y) * z) = a(x,y,z). T(a(x,y,z),z * (x * y)) = a(x,y,z). T(a(x,y,z),z * u) != w | T(a(x,y,z),u) = w. T(a(x,y,z),x * y) = a(x,y,z). T(a(x,y,z),x * y) != u | a(x,y,T(z,y * x)) = u. a(x,y,T(z,y * x)) = a(x,y,z). T(x * y,a(x,y,z)) = x * y. T(x,a(y,z,u)) != w | T(x,L(u,z,y) \ u) = w. T(x * y,L(z,y,x) \ z) = x * y. a(x \ y,x,T(z,y)) = a(x \ y,x,z). a(x,y,T(z,x * y)) = a(x,y,z). x != y | L(y,z * (u * w),K(w,z * u)) = x. L(a(x,y,z),u * (w * v5),K(v5,u * w)) = a(x,y,T(z,x * y)). (x * y) * a(x,y,z) = z * (L(z,y,x) \ (x * y)). x * (L(x,y,z) \ (z * y)) = (z * y) * a(z,y,x). a(x \ (y \ z),x,(y \ z) \ z) = a(x \ (y \ z),x,y). (x * y) \ ((x * y) * a(x,y,z)) = ((x * (y * z)) / z) \ (x * y). ((x * (y * z)) / z) \ (x * y) = (x * y) \ ((x * y) * a(x,y,z)). K(x * T(y,z),L(x \ u,x,y)) = K(T(y,z) * x,T(y,z) * u). K(T(x,y) * z,T(x,y) * u) = K(z * T(x,y),L(z \ u,z,x)). T(a(x,y,y \ z),(x * z) \ 1) = a(x,y,y \ z). T(a(x,y,y \ z),z \ (x \ 1)) = a(x,y,y \ z). a(x,y,T(z,x * y)) != u | a(x,y,z) = u. a(x,y,(z * y) \ (x * y)) != u | a(x,y,R(x / z,z,y)) = u. L(x,y,(((z * (u * w)) / w) \ (z * u)) \ 1) != (z * u) \ ((z * u) * a(z,u,w)) | ((z * (u * w)) / w) \ (z * u) = x. ((x * (y * z)) / z) \ (x * y) = a(x,y,z). a(x,y,z) = ((x * (y * z)) / z) \ (x * y). ((x * (y * z)) / z) \ (x * y) != u | u = a(x,y,z). ((x * (y * z)) / z) \ (x * y) != u | a(x,y,z) = u. x != (((y / z) * (z * u)) / u) \ ((y / z) * z) | a((z * u) \ y,z,u) = x. a((x * y) \ z,x,y) = a(z / x,x,y). a(x,y,y \ z) = ((x * z) / (y \ z)) \ (x * y). ((x * y) / (z \ y)) \ (x * z) = a(x,z,z \ y). a((x * y) \ (z * x),x,y) = a(z,x,y). x != a(y,z,u) | ((y * (z * u)) / u) \ (y * z) = x. ((x * (y * z)) / z) \ (x * y) = a((y * z) \ (x * y),y,z). a((x * y) \ (z * x),x,y) = ((z * (x * y)) / y) \ (z * x). (x / (y \ (z \ x))) \ (z * y) = a(z,y,y \ x). ((x * (y * (z / y))) / (z / y)) \ (x * y) = a(x,y,y \ z). ((x * y) / (z \ y)) \ (x * z) = a(x,z,z \ (x * y)). ((x * y) / (z \ y)) \ (x * z) != u | a(x,z,z \ y) = u. a(x,y,y \ z) = a(x,y,y \ (x * z)). a(x,y,y \ (x * z)) = a(x,y,y \ z). a(x,y,y \ x) = a(x,y,y \ 1). a(x,y,y \ 1) = a(x,y,y \ x). a(x,x,y) = a(x,x,x \ y). a(x,x,x \ y) = a(x,x,y). a((x * y) \ (R(z,x,y) * x),x,y) = (z * x) \ (R(z,x,y) * x). a(x,y,z / y) = a(x,y,y \ z). a(x,y,z) = a(x,y,y \ (z * y)). a(x,y,y \ (z * y)) = a(x,y,z). a(x,y,y \ (y / z)) = a(x,y,y \ (z \ y)). a(x,y,T(z,y)) = a(x,y,z). a(x,y,z) = a(x,T(y,z),z). a(x,T(y,z),z) = a(x,y,z). a(x,y,L(T(z,y),u,w)) = a(x,y,L(z,u,w)). a(x,y,z \ y) = a(x,y,y / z). a(x,y,y / z) = a(x,y,z \ y). a(x,y,(z \ y) \ y) = a(x,y,z). a(x,T(y,z),L(z,y,u)) = a(x,y,L(z,y,u)). a(x,T(y,z),L(T(u,y),w,v5)) = a(x,T(y,z),L(u,w,v5)). x != K(y * T(z,u),w) | K(y * z,w) = x. K(x * y,L(x \ z,x,y)) = K(T(y,u) * x,T(y,u) * z). K(T(x,y) * z,T(x,y) * u) = K(z * x,L(z \ u,z,x)). K(T(x \ y,z) * x,T(x \ y,z) * u) = K(y,L(x \ u,x,x \ y)). K(x,T(y,z) * u) != w | K(x,u * y) = w. K(T(x \ y,z) * x,u * (x \ y)) = K(y,L(x \ u,x,x \ y)). K(x * (x \ y),z * (x \ y)) = K(y,L(x \ z,x,x \ y)). K(x,y * (z \ x)) = K(x,L(z \ y,z,z \ x)). K(x,L(y \ z,y,y \ x)) = K(x,z * (y \ x)). K(x,L(y,z,z \ x)) != u | K(x,y) = u. K(x,y \ z) = K(x,z * (y \ x)). K(x,y * (z \ x)) = K(x,z \ y). K(x,y * (z \ x)) != u | K(x,x * (z \ y)) = u. K(x,(y \ x) * z) != u | K(x,x * (y \ z)) = u. (x * (y * z)) \ ((x * (y * z)) / a(x,y,z)) != u | ((x * y) * z) \ (x * (y * z)) = u. ((x * y) * z) \ (x * (y * z)) = (x * (y * z)) / ((x * y) * z). (x * (y * z)) / ((x * y) * z) = ((x * y) * z) \ (x * (y * z)). (x * (y * K(z,u))) / ((x * K(z,u)) * y) = ((x * K(z,u)) * y) \ (x * (K(z,u) * y)). T(x,((((y \ 1) * z) / u) / u) \ 1) = T(x,((u \ 1) \ y) * ((z / u) \ 1)). T(x,(y / z) \ u) != w | T(x,u * (y \ z)) = w. T(x,1 * ((((y \ 1) * z) / u) \ u)) = T(x,((u \ 1) \ y) * ((z / u) \ 1)). T(x,((y \ 1) \ z) * ((u / y) \ 1)) = T(x,1 * ((((z \ 1) * u) / y) \ y)). T(x,((y \ 1) \ z) * ((u / y) \ 1)) = T(x,1 * (y * (((z \ 1) * u) \ y))). T(x,((y \ 1) \ z) * ((u / y) \ 1)) = T(x,y * (((z \ 1) * u) \ y)). x != T(a(y,z,z \ u),u \ (y \ 1)) | a(y,z,z \ u) = x. a(x,y,y \ z) = (z * (x * (x \ R(x,y,y \ z)))) / (z * x). (x * (y * (y \ R(y,z,z \ x)))) / (x * y) = a(y,z,z \ x). (x * R(y,z,z \ x)) / (x * y) = a(y,z,z \ x). T((x * y) * (y \ z),x) / (z * x) = a(x,y,y \ z). (x * R(y,z,u)) / (x * y) != w | x / ((x / R(y,z,u)) * y) = w. x / ((x / R(y,z,z \ x)) * y) = a(y,z,z \ x). T(x \ y,z \ (u \ w)) * T(x,z \ (u \ w)) = T(y,x * (z \ ((w \ u) \ 1))). T(x \ y,z) * T(x,z) != u | T(y,x * z) = u. T(x,y * (z \ (u \ w))) = T(x,y * (z \ ((w \ u) \ 1))). T(x,y * (z \ ((u \ w) \ 1))) = T(x,y * (z \ (w \ u))). T(x,((y / z) \ 1) \ ((z / y) * y)) = T(x,L(y,z,(z / y) * y)). T(x,((y / z) \ 1) \ z) = T(x,L(y,z,(z / y) * y)). T(x,L(y,z,(z / y) * y)) = T(x,((y / z) \ 1) \ z). x != T(y,((z / u) \ 1) \ w) | T(y,((u \ z) \ 1) \ w) = x. T(x,((y \ z) \ 1) \ y) = T(x,L(z,y,(y / z) * z)). T(x,L(y,z,(z / y) * y)) = T(x,((z \ y) \ 1) \ z). T(x,L(y,z,z)) = T(x,((z \ y) \ 1) \ z). T(x,((y \ z) \ 1) \ y) = T(x,L(z,y,y)). x * y != T(z,((u \ w) \ 1) \ u) | x \ T(z,L(w,u,u)) = y. x \ T(x,L(y,z,z)) = K(x,((z \ y) \ 1) \ z). K(x,((y \ z) \ 1) \ y) = x \ T(x,L(z,y,y)). K(x,L(y,z,z)) = K(x,((z \ y) \ 1) \ z). K(x,((y \ z) \ 1) \ y) = K(x,L(z,y,y)). L(K(x,y),z,z) = K(x,((z \ y) \ 1) \ z). K(x,((y \ z) \ 1) \ y) = L(K(x,z),y,y). K(x,(y \ z) * y) = L(K(x,z),y,y). K(x,y) = L(K(x,y),z,z). L(K(x,y),z,z) = K(x,y). x \ y != L(K(z,u),w,w) | x * K(z,u) = y. (x \ 1) * K(y,z) = x \ K(y,z). x * K(y,z) = (1 / x) \ K(y,z). (1 / x) \ K(y,z) = x * K(y,z). K(x,y) * (z \ 1) = z \ K(x,y). L(K(x,y),z \ 1,z) = K(x,y). (x \ K(y,z)) \ (x \ 1) = K(z,y). (x \ K(y,z)) \ (x \ 1) != u | K(z,y) = u. L(K(x,y),z,z \ 1) = K(x,y). K(x,L(y,z,z \ 1)) = K(x,y). x != K(y,z) | K(y,L(z,u,u \ y)) = x. K(x,L(y,z,z \ x)) = K(x,L(y,u,u \ 1)). K(x,L(y,z,z \ 1)) = K(x,L(y,u,u \ x)). x \ T(y,z) = (x \ y) * K(y,z). (x \ y) * K(y,z) = x \ T(y,z). (x * K(y,z)) \ 1 = x \ K(z,y). L(x,x \ y,K(y,z)) = x. (x \ (y \ z)) * K(y \ z,z \ 1) = x \ (z / y). (x * y) * (y \ T(z,x)) = T((x * y) * (y \ z),x). T((x * y) * (y \ z),x) = (x * y) * (y \ T(z,x)). L(L(x,x \ 1,y),(x \ 1) * y,K(y,z)) = L(x,x \ 1,y). a(x,x \ 1,y \ K(x,z)) = a(y,x,x \ 1). K(x,L(y,z,z \ 1)) != u | K(x,y) = u. K(x,y * (z \ (u / w))) = K(x,y * (z \ (w \ u))). T((x * y) * (y \ z),x) / (z * x) = a(x,y,y \ T(z,x)). L(L(x,y,z),y * z,K(z,u)) != w | L(x,y,T(z,u)) = w. L(x,x \ 1,T(y,z)) = L(x,x \ 1,y). T((x * y) * (y \ z),x) / (z * x) != u | a(x,y,y \ z) = u. a(x,y,y \ z) = a(x,y,y \ T(z,x)). a(x,y,y \ T(z,x)) = a(x,y,y \ z). a(x,y,y \ (z * x)) = a(x,y,y \ (x * z)). x != a(y,z,z \ (y * u)) | a(y,z,z \ u) = x. a(x,y,y \ z) = a(x,y,y \ (z * x)). a(x,y,y \ (z * x)) = a(x,y,y \ z). a(x,T(y,z),T(y,z) \ ((y * z) * x)) = a(x,T(y,z),y \ (x * (z * y))). a(x,T(y,z),y \ ((z * y) * x)) = a(x,T(y,z),y \ (x * (z * y))). T(x,y * (((z / u) \ 1) * w)) = T(x,a((z / u) \ 1,w,y) * (((u \ z) \ 1) * (w * y))). T(x,a((y / z) \ 1,u,w) * (((z \ y) \ 1) * (u * w))) = T(x,w * (((y / z) \ 1) * u)). x != T(y,z * (((u / w) \ 1) * v5)) | T(y,z * (((w \ u) \ 1) * v5)) = x. T(x,y * (((z \ u) \ 1) * w)) = T(x,a((u / z) \ 1,w,y) * (((z \ u) \ 1) * (w * y))). T(x,a((y / z) \ 1,u,w) * (((z \ y) \ 1) * (u * w))) = T(x,w * (((z \ y) \ 1) * u)). K(x \ y,L(z,x,a(y,u,u \ 1))) = K(z,L(y,u,u \ 1) \ (a(y,u,u \ 1) * x)). (((x * y) / L(z,y,x)) * z) / (x * y) = ((x * (y * z)) / z) \ (x * y). (x * y) / (((x * y) / z) * L(z,y,x)) = ((x * (y * z)) / z) \ (x * y). (x * y) / ((x * (y * z)) / z) = ((x * (y * z)) / z) \ (x * y). (R(x,y,z) * y) / (x * y) = ((R(x,y,z) * (y * z)) / z) \ (R(x,y,z) * y). ((R(x,y,z) * (y * z)) / z) \ (R(x,y,z) * y) = (R(x,y,z) * y) / (x * y). x != (R(y,z,u) * w) / (y * w) | w / (y * (R(y,z,u) \ w)) = x. x / (y * (R(y,x,z) \ x)) = ((R(y,x,z) * (x * z)) / z) \ (R(y,x,z) * x). ((R(x,y,z) * (y * z)) / z) \ (R(x,y,z) * y) = y / (x * (R(x,y,z) \ y)). (x * y) \ (R(x,y,z) * y) = y / (x * (R(x,y,z) \ y)). x / (y * (R(y,x,z) \ x)) = (y * x) \ (R(y,x,z) * x). L(L(x,x * L(x \ 1,y,z),x \ u),y \ 1,z \ 1) \ u = L(R(x \ 1,y,z),x,u) * u. T(K(x,L(y,z,u)) \ 1,((z * K(x,y)) * u) \ 1) = K(y,L(x,z \ 1,u \ 1)). T(1 * K(L(x,y,z),u),((y * K(u,x)) * z) \ 1) = K(x,L(u,y \ 1,z \ 1)). T(1 * K(x,L(y,z,u)),((z * K(y,x)) * u) \ 1) = K(x,L(y,z \ 1,u \ 1)). K(x,L(y,z \ 1,u \ 1)) = 1 * K(x,L(y,z,u)). K(x,L(y,z \ 1,u \ 1)) != w | w = K(x,L(y,z,u)). K(x,L(y,z \ 1,u \ 1)) != w | K(x,L(y,z,u)) = w. K(x,L(y,z \ 1,u)) != w | K(x,L(y,z,u \ 1)) = w. (x * (y * K(z,u))) / (y * (T(x,y) * K(z,u))) = a(y,K(z,u),T(x,y * K(z,u))). (x * (y * K(z,u))) / ((x * K(z,u)) * y) = a(y,K(z,u),T(x,y * K(z,u))). (x * (y * K(z,u))) / ((x * K(z,u)) * y) = a(y,K(z,u),T(x,y)). (x * (y * K(z,u))) / ((x * K(z,u)) * y) != w | ((x * K(z,u)) * y) \ (x * (K(z,u) * y)) = w. ((x * K(y,z)) * u) \ (x * (K(y,z) * u)) = a(u,K(y,z),T(x,u)). ((x * K(y,z)) * u) \ (x * (u * K(y,z))) = a(u,K(y,z),T(x,u)). T(x,(y \ z) * ((z \ (y * L(y \ z,u,w))) * v5)) = T(x,v5 * L(v5 \ ((z \ y) \ v5),u,w)). K(x,((K(y,z) * u) * w) \ (K(y,L(z,u,w)) * v5)) != v6 | K(x,(u * w) \ v5) = v6. a(x,y,y * R(y \ 1,z,u)) = a(x,y * R(y \ 1,z,u),y). a(x,y * R(y \ 1,z,u),y) = a(x,y,y * R(y \ 1,z,u)). (x / y) / (L((y \ x) \ K(x,x \ y),z,u) \ 1) = T((y \ x) * L((y \ x) \ 1,z,u),x \ 1). (x / y) / (L((y \ x) \ K(x,y),z,u) \ 1) = T((y \ x) * L((y \ x) \ 1,z,u),x \ 1). T((x \ y) * L((x \ y) \ 1,z,u),y \ 1) = (y / x) / (L((x \ y) \ K(y,x),z,u) \ 1). T((x \ y) * L((x \ y) \ 1,z,u),y \ 1) = (y / x) / (L((y / x) \ 1,z,u) \ 1). T((x \ y) * L((x \ y) \ 1,z,u),y \ 1) = (y / x) / L(y / x,z \ 1,u \ 1). (x * (y * (x * R(x \ 1,z,u)))) \ (x * ((x * R(x \ 1,z,u)) * y)) = K(x * R(x \ 1,z,u),x * y). K(x * R(x \ 1,y,z),u) = K(x * R(x \ 1,y,z),x * u). K(x * R(x \ 1,y,z),x * u) = K(x * R(x \ 1,y,z),u). K(x,(y \ 1) * (y * z)) != u | K(x,L(z,y,y \ 1)) = u. K((x \ 1) * R((x \ 1) \ 1,y,z),L(u,x,x \ 1)) = K((x \ 1) * R((x \ 1) \ 1,y,z),x * u). K(x \ R(x,y,z),L(u,x,x \ 1)) = K((x \ 1) * R((x \ 1) \ 1,y,z),x * u). K(x \ R(x,y,z),u) = K((x \ 1) * R((x \ 1) \ 1,y,z),x * u). K((x \ 1) * R((x \ 1) \ 1,y,z),x * u) = K(x \ R(x,y,z),u). K(x,R(y,z,u) \ y) = K((y \ 1) * R((y \ 1) \ 1,z,u),y * x). K((x \ 1) * R((x \ 1) \ 1,y,z),x * u) = K(u,R(x,y,z) \ x). K(x \ R(x,y,z),x * u) = K(u,R(x,y,z) \ x). x \ y != K(z \ R(z,u,w),z * v5) | x * K(v5,R(z,u,w) \ z) = y. (x \ R(x,y,z)) * K(u,R(x,y,z) \ x) = T(x \ R(x,y,z),x * u). T(x \ R(x,y,z),u) = T(x \ R(x,y,z),x * u). T(x \ R(x,y,z),x * u) = T(x \ R(x,y,z),u). x * (y * T(x \ R(x,z,u),y)) = L(x \ R(x,z,u),y,x) * (x * y). L(x \ R(x,y,z),u,x) * (x * u) = x * (u * T(x \ R(x,y,z),u)). (x * y) \ (((x \ R(x,z,u)) * x) * y) = R(T(x \ R(x,z,u),y),x,y). (x * ((x \ R(x,y,z)) * u)) / (x * u) = L(x \ R(x,y,z),u,x). (x * y) \ (R(x,z,u) * y) = R(T(x \ R(x,z,u),y),x,y). R(T(x \ R(x,y,z),u),x,u) = (x * u) \ (R(x,y,z) * u). (x * (y * (x \ 1))) * L((x * y) \ (x * (y / (x \ 1))),z,u) = (x * y) * ((x \ 1) * L((x \ 1) \ 1,z,u)). (x * (y * (z * K(u \ 1,u)))) \ (K(w \ 1,w) * ((x * y) * z)) = L(a(x,y,z),x * (y * z),K(w \ 1,w)). L(x \ L(y,z,u),y,y \ 1) / (x \ L(y,z,u)) = x * L(x \ 1,y,y \ 1). a(x \ L(y,z,u),y,y \ 1) = x * L(x \ 1,y,y \ 1). a(x \ L(y,z,u),y,y \ 1) = x * (y * ((x * y) \ 1)). a(x \ y,y,y \ 1) = x * (y * ((x * y) \ 1)). a(x,x \ 1,y) = a(y \ x,x,x \ 1). a(x \ y,y,y \ 1) = a(y,y \ 1,x). a(x \ T(y,z),y,y \ 1) = a(T(y,z),T(y,z) \ 1,x). a(T(x,y),T(x,y) \ 1,z) = a(z \ T(x,y),x,x \ 1). a(x,x \ 1,y) = a(y \ T(x,z),x,x \ 1). a(x \ T(y,z),y,y \ 1) = a(y,y \ 1,x). a(x,y,y \ 1) = a(y,y \ 1,x \ y). a(x,x \ 1,y \ x) = a(y,x,x \ 1). (x * (y * (x \ 1))) * L(L(x,x \ 1,y),z,u) = (x * y) * ((x \ 1) * L((x \ 1) \ 1,z,u)). (x * y) * L(L(x,z,u),w,v5) != v6 | x * (y * L(L(x,z,u),w,v5)) = v6. x * ((y * (x \ 1)) * L(L(x,x \ 1,y),z,u)) = (x * y) * ((x \ 1) * L((x \ 1) \ 1,z,u)). x * (y * ((x \ 1) * L(x,z,u))) = (x * y) * ((x \ 1) * L((x \ 1) \ 1,z,u)). (x * y) * ((x \ 1) * L((x \ 1) \ 1,z,u)) = x * (y * ((x \ 1) * L(x,z,u))). (x * y) * ((x \ 1) * L((x \ 1) \ 1,z,u)) = x * (y * (x \ L(x,z,u))). (x * y) * (x \ L(x,z,u)) = x * (y * (x \ L(x,z,u))). L(x \ L(x,y,z),u,x) = x \ L(x,y,z). R(x,y,x \ L(x,z,u)) = x. (T(x,(x \ L(x,y,z)) \ (u \ 1)) * u) * (x \ L(x,y,z)) = (u * (x \ L(x,y,z))) * x. R(x \ L(x,y,z),u,w) = L(R(x \ L(x,y,z),u,w),v5,x). L(R(x \ L(x,y,z),u,w),v5,x) = R(x \ L(x,y,z),u,w). (x \ 1) \ R(x \ L(x,y,z),u,w) = x * R(x \ L(x,y,z),u,w). (T(x,L(x,y,z) \ (u \ 1)) * u) * (x \ L(x,y,z)) = (u * (x \ L(x,y,z))) * x. (T(x,y \ 1) * y) * (x \ L(x,z,u)) = (y * (x \ L(x,z,u))) * x. (x * y) * (y \ L(y,z,u)) = (x * (y \ L(y,z,u))) * y. (x * (y \ L(y,z,u))) * y = (x * y) * (y \ L(y,z,u)). ((x * y) * (y \ L(y,z,u))) / L(y,z,u) = R(x,y \ L(y,z,u),y). R(x,y,y \ L(y,z,u)) = R(x,y \ L(y,z,u),y). R(x,y \ L(y,z,u),y) = R(x,y,y \ L(y,z,u)). R(x,y,z) != u | L(x,y,z) = u. L(x,y \ L(y,z,u),y) = R(x,y,y \ L(y,z,u)). R(x,y,y \ L(y,z,u)) = L(x,y \ L(y,z,u),y). ((x * (y * (z * K(u \ 1,u)))) \ ((x * y) * z)) * K(w \ 1,w) = L(a(x,y,z),x * (y * z),K(v5 \ 1,v5)). L(a(x,y,z),x * (y * z),K(u \ 1,u)) = ((x * (y * (z * K(w \ 1,w)))) \ ((x * y) * z)) * K(v5 \ 1,v5). x != ((y * (z * (u * K(w \ 1,w)))) \ ((y * z) * u)) * K(v5 \ 1,v5) | a(y,z,u * K(w \ 1,w)) = x. a(x,y,z * K(u \ 1,u)) = L(a(x,y,z),x * (y * z),K(w \ 1,w)). L(a(x,y,z),x * (y * z),K(u \ 1,u)) = a(x,y,z * K(w \ 1,w)). 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) = a(x,y,(z \ 1) \ 1). a(x,y,(z \ 1) \ 1) = a(x,y,z). (x * (y * z)) * R((x * (y * z)) \ (x * y),u,w) = (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)). x * ((y * z) * R((y * z) \ y,u,w)) = (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)). (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)) = x * ((y * z) * R((y * z) \ y,u,w)). (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)) = x * (y * (z * R(z \ 1,u,w))). L(x * R(x \ 1,y,z),u,w) = L(x,u,w) * R(L(x,u,w) \ 1,y,z). L(x,y,z) * R(L(x,y,z) \ 1,u,w) = L(x * R(x \ 1,u,w),y,z). x != L(y,z,u) | R(y,z,u) = x. R(x * R(x \ 1,y,z),u,w) = L(x,u,w) * R(L(x,u,w) \ 1,y,z). L(x,y,z) * R(L(x,y,z) \ 1,u,w) = R(x * R(x \ 1,u,w),y,z). L(x \ 1,x,y) * R(L(x \ 1,x,x \ y) \ 1,z,u) = L((x \ 1) * R((x \ 1) \ 1,z,u),x,x \ y). L(x \ 1,x,y) * R(L(x,x \ 1,y \ 1),z,u) = L((x \ 1) * R((x \ 1) \ 1,z,u),x,y). L(x,y,z) * L(L(x,y,z) \ 1,u,u \ 1) = L(x * R(x \ 1,u,u \ 1),y,z). L(x \ 1,y,z) * R(L(x \ 1,y,z) \ 1,u,w) = R(x \ R(x,u,w),y,z). L(x,y,z) * L(L(x,y,z) \ 1,u,u \ 1) = L(x * L(x \ 1,u,u \ 1),y,z). L(x,y,z) * (u * ((L(x,y,z) * u) \ 1)) = L(x * L(x \ 1,u,u \ 1),y,z). x * (y * ((x * y) \ 1)) != z | a(y,y \ 1,x) = z. a(x,x \ 1,L(y,z,u)) = L(y * L(y \ 1,x,x \ 1),z,u). L(x * L(x \ 1,y,y \ 1),z,u) = a(y,y \ 1,L(x,z,u)). L(x * (y * ((x * y) \ 1)),z,u) = a(y,y \ 1,L(x,z,u)). L(a(x,x \ 1,y),z,u) = a(x,x \ 1,L(y,z,u)). a(x,x \ 1,L(y,z,u)) = L(a(x,x \ 1,y),z,u). a(x,x \ 1,L((x \ 1) \ y,z,u)) = L((x * y) \ ((x \ 1) \ y),z,u). L((x * y) \ ((x \ 1) \ y),z,u) = a(x,x \ 1,L((x \ 1) \ y,z,u)). a(x,x \ 1,L(y \ 1,z,u)) = L(a(y,x,x \ 1),z,u). a(x,x \ 1,y \ 1) = L(a(x,x \ 1,y \ 1),z,y). L(a(x,x \ 1,y \ 1),z,y) = a(x,x \ 1,y \ 1). a(x,x \ 1,L(y \ x,z,u)) = L(a(y,x,x \ 1),z,u). L(a(x,y,y \ 1),z,x) = a(y,y \ 1,x \ 1). a(x,y,y \ 1) = L(a(x,y,y \ 1),z,x). L(a(x,y,y \ 1),z,x) = a(x,y,y \ 1). x * (y * T(a(x,z,z \ 1),x * y)) = a(x,z,z \ 1) * (x * y). a(x,x \ 1,y \ z) = L(a(z \ y,x,x \ 1),z \ y,z). L(a(x \ y,z,z \ 1),x \ y,x) = a(z,z \ 1,y \ x). a(x,x \ 1,y \ (z * x)) = L(a(z \ y,x,x \ 1),z \ y,z). L(a(x \ y,z,z \ 1),x \ y,x) = a(z,z \ 1,y \ (x * z)). L(a(x \ y,z,z \ 1),x \ y,x) != u | a(z,z \ 1,y \ x) = u. a(x,x \ 1,y \ z) = a(x,x \ 1,y \ (z * x)). a(x,x \ 1,y \ (z * x)) = a(x,x \ 1,y \ z). a(T(x,y),T(x,y) \ 1,z \ (x * y)) = a(T(x,y),T(x,y) \ 1,z \ y). a(x,x \ 1,L((x \ 1) \ y,z,u)) != L(w,z,u) | (x * y) \ ((x \ 1) \ y) = w. L(x,y,z) != a(u,u \ 1,L((u \ 1) \ w,y,z)) | (u * w) \ ((u \ 1) \ w) = x. a(x,x \ 1,y \ (x * z)) = a(T(x,z),T(x,z) \ 1,y \ z). a(T(x,y),T(x,y) \ 1,z \ y) = a(x,x \ 1,z \ (x * y)). a(x,x \ 1,y \ z) = a(x,x \ 1,y \ (x * z)). a(x,x \ 1,y \ (x * z)) = a(x,x \ 1,y \ z). a(x,x \ 1,y) = a(x,x \ 1,x \ y). a(x,x \ 1,x \ y) = a(x,x \ 1,y). a(x,x \ 1,y \ z) = a(x,x \ 1,y \ (x \ z)). a(x,x \ 1,y \ (x \ z)) = a(x,x \ 1,y \ z). a(x,x \ 1,x \ y) != z | ((y \ 1) * x) * (x \ y) = z. ((x \ 1) * y) * (y \ x) = a(y,y \ 1,x). a(x,x \ 1,y) = a(x,x \ 1,x * y). a(x,x \ 1,x * y) = a(x,x \ 1,y). a(x \ 1,(x \ 1) \ 1,L((x \ 1) \ y,z,u)) = a(x \ 1,(x \ 1) \ 1,x \ L(x * y,z,u)). a(x,x \ 1,L(x \ y,z,u)) = L(a(x,x \ 1,y),z,u). ((x \ 1) * y) * (y \ x) != z | ((y \ 1) * x) \ (y \ x) = z. ((x \ 1) * y) \ (x \ y) = a(x,x \ 1,y). (x \ y) \ a(x,x \ 1,y) = (y \ 1) * x. (x \ y) * ((y \ 1) * x) = a(x,x \ 1,y). x != L(a(y,y \ 1,z),u,w) | a(y,y \ 1,L(z,u,w)) = x. a(x,x \ 1,L(y,z,u)) = a(x,x \ 1,L(x \ y,z,u)). a(x,x \ 1,L(x \ y,z,u)) = a(x,x \ 1,L(y,z,u)). a(x,x \ 1,L(y,z,u)) = a(x,x \ 1,L(x * y,z,u)). a(x,x \ 1,L(x * y,z,u)) = a(x,x \ 1,L(y,z,u)). a(T(x,y),T(x,y) \ 1,(x * y) \ (y * z)) = a(T(x,y),T(x,y) \ 1,L(z,x,y)). a(x,x \ 1,(x * y) \ (y * z)) = a(T(x,y),T(x,y) \ 1,L(z,x,y)). a(T(x,y),T(x,y) \ 1,L(z,x,y)) = a(x,x \ 1,(x * y) \ (y * z)). a(x,x \ 1,(x * y) \ (y * z)) != u | a(x,x \ 1,L(z,x,y)) = u. L(x \ 1,x,y) * L(R(x,z,u),x \ 1,y \ 1) = L((x \ 1) * R((x \ 1) \ 1,z,u),x,y). L((x \ 1) * R((x \ 1) \ 1,y,z),x,u) != L(x \ 1,x,u) * w | L(R(x,y,z),x \ 1,u \ 1) = w. x != a(y,(z \ 1) \ 1,u) | a(y,z,u) = x. a(x \ 1,x,x \ L(x * y,z,u)) = a(x \ 1,(x \ 1) \ 1,L((x \ 1) \ y,z,u)). a(x \ 1,(x \ 1) \ 1,L((x \ 1) \ y,z,u)) = a(x \ 1,x,x \ L(x * y,z,u)). a(x,x \ 1,x \ L(x * y,z,u)) = a(x \ 1,(x \ 1) \ 1,L((x \ 1) \ y,z,u)). a(x \ 1,(x \ 1) \ 1,L((x \ 1) \ y,z,u)) = a(x,x \ 1,x \ L(x * y,z,u)). x != a(y,y \ 1,y \ z) | a(y,y \ 1,z) = x. a(x,x \ 1,L(x * y,z,u)) = a(x \ 1,(x \ 1) \ 1,L((x \ 1) \ y,z,u)). a(x \ 1,(x \ 1) \ 1,L((x \ 1) \ y,z,u)) = a(x,x \ 1,L(x * y,z,u)). a(x,(y \ 1) \ 1,z) != u | a(x,y,z) = u. a(x \ 1,x,L((x \ 1) \ y,z,u)) = a(x,x \ 1,L(x * y,z,u)). a(x \ 1,x,y) != z | a(x,x \ 1,y) = z. a(x,x \ 1,L((x \ 1) \ y,z,u)) = a(x,x \ 1,L(x * y,z,u)). x != a(y,y \ 1,L(y * z,u,w)) | a(y,y \ 1,L(z,u,w)) = x. a(x,x \ 1,L(y,z,u)) = a(x,x \ 1,L((x \ 1) \ y,z,u)). a(x,x \ 1,L((x \ 1) \ y,z,u)) = a(x,x \ 1,L(y,z,u)). x != a(y,y \ 1,L(z,u,w)) | L(a(y,y \ 1,z),u,w) = x. L(a(x,x \ 1,y),z,u) = a(x,x \ 1,L((x \ 1) \ y,z,u)). a(x,x \ 1,L((x \ 1) \ y,z,u)) = L(a(x,x \ 1,y),z,u). (x * y) \ ((x \ 1) \ y) = a(x,x \ 1,y). L(x \ 1,x,y) * R(L(x \ 1,x,y) \ 1,z,u) = L((x \ 1) * R((x \ 1) \ 1,z,u),x,x \ y). L(x \ 1,y,z) * R(L(x \ 1,y,z) \ 1,u,w) != v5 | R(x \ R(x,u,w),y,z) = v5. R(x \ R(x,y,z),x,u) = L((x \ 1) * R((x \ 1) \ 1,y,z),x,x \ u). L((x \ 1) * R((x \ 1) \ 1,y,z),x,x \ u) = R(x \ R(x,y,z),x,u). x != R(y,z,u) | L(y,z,u) = x. L(x \ R(x,y,z),x,u) = L((x \ 1) * R((x \ 1) \ 1,y,z),x,x \ u). L((x \ 1) * R((x \ 1) \ 1,y,z),x,x \ u) = L(x \ R(x,y,z),x,u). L(x \ R(x,y,z),x,x \ u) = L(x \ R(x,y,z),x,u). x / L(y \ R(y,z,u),y,x) = (x / (y * (y \ R(y,z,u)))) * y. L(x \ R(x,y,z),x,u) * u = T((u / x) * R(x,y,z),u). L(x \ R(x,y,z),x,u) * u = ((x \ R(x,y,z)) * x) * (x \ u). x / L(y \ R(y,z,u),y,x) = (x / R(y,z,u)) * y. L(x \ R(x,y,z),x,u) * u = R(x,y,z) * (x \ u). L(x \ R(x,y,z),x,u) * u != w | T((u / x) * R(x,y,z),u) = w. T((x / y) * R(y,z,u),x) = R(y,z,u) * (y \ x). x * y != L(z \ R(z,u,w),z,v5) * v5 | x \ (R(z,u,w) * (z \ v5)) = y. x \ (R(y,z,u) * (y \ x)) = L(T(y \ R(y,z,u),x),y,x). L(T(x \ R(x,y,z),u),x,u) = u \ (R(x,y,z) * (x \ u)). x * y != T((z / u) * R(u,w,v5),z) | (R(u,w,v5) * (u \ z)) / y = x. (R(x,y,z) * (x \ u)) / u = u \ ((u / x) * R(x,y,z)). x / (y * (R(y,z,u) \ x)) = x \ ((x / y) * R(y,z,u)). L(x,y,z) != u | R(x,y,z) = u. R(T(x \ R(x,y,z),u),x,u) = u \ (R(x,y,z) * (x \ u)). R(T(x \ R(x,y,z),u),x,u) != w | (x * u) \ (R(x,y,z) * u) = w. (x * y) \ (R(x,z,u) * y) = y \ (R(x,z,u) * (x \ y)). (x * y) \ (R(x,y,z) * y) != u | y / (x * (R(x,y,z) \ y)) = u. x / (y * (R(y,x,z) \ x)) = x \ (R(y,x,z) * (y \ x)). (x * y) \ (R(x,y,z) * y) != u | a((y * z) \ (R(x,y,z) * y),y,z) = u. a((x * y) \ (R(z,x,y) * x),x,y) = x \ (R(z,x,y) * (z \ x)). (x * (y * z)) \ ((x * y) * z) = (y * z) \ (R(x,y,z) * (x \ (y * z))). (x * y) \ (R(z,x,y) * (z \ (x * y))) = (z * (x * y)) \ ((z * x) * y). (x * y) \ (R(T(y,x \ 1),z,u) * x) = x \ (R(T(y,x \ 1),z,u) * (T(y,x \ 1) \ x)). x \ (R(T(y,x \ 1),z,u) * (T(y,x \ 1) \ x)) = (x * y) \ (R(T(y,x \ 1),z,u) * x). x / (y * (R(y,z,u) \ x)) != w | x \ ((x / y) * R(y,z,u)) = w. x \ ((x / y) * R(y,x,z)) = x \ (R(y,x,z) * (y \ x)). x \ (R(y,x,z) * (y \ x)) = x \ ((x / y) * R(y,x,z)). x \ y != x / (z * (R(z,u,w) \ x)) | (x / z) * R(z,u,w) = y. (x / y) * R(y,x,z) = R(y,x,z) * (y \ x). R(x,y,z) * (x \ y) = (y / x) * R(x,y,z). ((x / y) * R(y,x,z)) / x = x \ ((x / y) * R(y,x,z)). x / ((x / R(y,x,z)) * y) = x \ ((x / y) * R(y,x,z)). x \ y != z \ (R(u,z,w) * (u \ z)) | x * a((z * w) \ (R(u,z,w) * z),z,w) = y. x * a((x * y) \ (R(z,x,y) * x),x,y) = (x / z) * R(z,x,y). (x / y) * R(y,x,z) = x * a((x * z) \ (R(y,x,z) * x),x,z). (x / y) * R(y,x,z) = x * a(R(y,x,z),x,z). x \ ((x / y) * R(y,x,z)) != u | u = a(R(y,x,z),x,z). x \ ((x / y) * R(y,x,z)) != u | a(R(y,x,z),x,z) = u. a(x,y,z) = (y * z) \ (R(x,y,z) * (x \ (y * z))). a(x,y,z) = (y * z) \ (x \ ((x * y) * z)). a(x,y,R(x / z,z,y)) = (y * ((z * y) \ (x * y))) \ (x \ ((x * y) * ((z * y) \ (x * y)))). (x * ((y * x) \ (z * x))) \ (z \ ((z * x) * ((y * x) \ (z * x)))) = a(z,x,R(z / y,y,x)). a(T(x,y \ x),z,y) != u | a(x,z,T(y,x)) = u. a(x,y,T(z,x)) = (y * z) \ (T(x,z \ x) \ ((T(x,z \ x) * y) * z)). (x * y) \ (T(z,y \ z) \ ((T(z,y \ z) * x) * y)) = a(z,x,T(y,z)). a(x,y,(x * y) \ z) = (y * ((x * y) \ z)) \ (x \ z). (x * ((y * x) \ z)) \ (y \ z) = a(y,x,(y * x) \ z). a(x / y,y,z) = (y * z) \ ((x / y) \ (x * z)). (x * y) \ ((z / x) \ (z * y)) = a(z / x,x,y). x * ((y * z) * a(x,y,z)) = (x * y) * z. a(T(x,y \ 1),y,z) = (y * z) \ (x \ ((x * y) * z)). (x * y) \ (z \ ((z * x) * y)) = a(T(z,x \ 1),x,y). x * (y * a(x,z,z \ y)) = (x * z) * (z \ y). x * y != (x * z) * (z \ x) | L(x,z,z \ x) = y. L(x,y,y \ x) = x * a(x,y,y \ x). x * a(x,y,y \ x) = L(x,y,y \ x). (x \ 1) * (y * a(x \ 1,R(x,z,u),R(x,z,u) \ y)) = (x \ R(x,z,u)) * (R(x,z,u) \ y). x \ L(x,y,y \ x) = a(x,y,y \ x). x != a(y,z,z \ y) | a(y,z,z \ 1) = x. a(x,y,y \ 1) = x \ L(x,y,y \ x). x \ L(x,y,y \ x) = a(x,y,y \ 1). x \ y != a(x,z,z \ 1) | L(x,z,z \ 1) = y. L(x,y,y \ 1) = L(x,y,y \ x). L(x,y,y \ x) * a(y,y \ 1,x) = x. x * (y \ (y / x)) = a(x,x \ 1,y). x * (y \ (y / z)) != u | x * L(z \ 1,z,y) = u. x * L(x \ 1,x,y) = a(x,x \ 1,y). x * ((y \ 1) \ ((y \ 1) / x)) != z | (y \ (y / (x \ 1))) \ x = z. (x \ (x / (y \ 1))) \ y = a(y,y \ 1,x \ 1). (x \ 1) * L((x \ 1) \ 1,y,z) != u | x \ L(x,y,z) = u. x \ L(x,x \ 1,y) = a(x \ 1,(x \ 1) \ 1,y). a(x \ 1,(x \ 1) \ 1,y) = x \ L(x,x \ 1,y). a(x,y,y \ 1) = (x \ (x / (y \ 1))) \ y. (x \ (x / (y \ 1))) \ y = a(x,y,y \ 1). (x \ (x / (y \ 1))) \ z != u | L(y,y \ 1,x) \ z = u. L(x,x \ 1,y) \ x = a(y,x,x \ 1). a(x,y,y \ 1) \ y = L(y,y \ 1,x). R(L(x,x \ 1,y),a(y,x,x \ 1),z) \ (x * z) = (L(x,x \ 1,y) \ x) * z. a(x \ 1,x,y) = x \ L(x,x \ 1,y). x \ L(x,x \ 1,y) = a(x \ 1,x,y). a(x,x \ 1,y) = x \ L(x,x \ 1,y). x \ L(x,x \ 1,y) = a(x,x \ 1,y). x != a(y,z,T(u,w)) | a(T(y,u),z,T(T(u,w),y)) = x. a(T(x,y),x \ 1,T(T(y,z),x)) = x \ L(x,x \ 1,T(y,z)). x * y != z \ L(z,z \ 1,u) | x \ a(z,z \ 1,u) = y. (x \ 1) \ a(x,x \ 1,y) = L(x,x \ 1,y). (x \ 1) \ a(y,x,x \ 1) = L(x,x \ 1,y \ 1). (x * y) \ (z \ ((z * x) * y)) != u | a(z,x,y) = u. a(x,y,z) = a(T(x,y \ 1),y,z). a(T(x,y \ 1),y,z) = a(x,y,z). a(T(x,y \ 1),y,z) != u | a(x,T(y,x),z) = u. a(x,T(y,x),z) = a(x,y,z). a(R(T(x,y \ 1),z,u),y,w) = a(R(x,z,u),y,w). a(x,y,z) = a(T(x,y),y,z). a(T(x,y),y,z) = a(x,y,z). a(x / y,y,z) = a(y \ x,y,z). a(x,T(y,x),T(z,x * y)) != u | (z * y) \ ((z * (y * x)) / x) = u. (x * y) \ ((x * (y * z)) / z) = a(z,y,T(x,z * y)). a(x,T(y,x),z * K(x,y)) != u | a(x,y,z) = u. a(x,y,z) = a(x,y,z * K(x,y)). a(x,y,z * K(x,y)) = a(x,y,z). a(T(x,y),T(z,x),u) = a(T(x,y),z,u). a(x,y,T(x,y) * z) != u | a(x,y,x * z) = u. a(T(x,y),T(y,z),u) = a(x,T(y,z),u). a(x / y,y,z) != u | a((y * z) \ x,y,z) = u. a((x * y) \ z,x,y) = a(x \ z,x,y). x \ y != a(z / u,u,w) | x * a(u \ z,u,w) = y. (x * y) * a(x \ z,x,y) = (z / x) \ (z * y). (x / y) \ (x * z) = (y * z) * a(y \ x,y,z). a(T(x,y),y,z) != u | a(x,y,z) = u. a(T(x,y),T(y,z),u) != w | a(x,T(y,z),u) = w. a(x,T(y,x),z) != u | a(x,y,z) = u. a(x,K(y,T(z,u)),w) != v5 | a(x,K(y,z),w) = v5. a(x * (y / x),x,z) != u | a(y,x,z) = u. a(T(x,y \ 1),y,z) != u | a(x,y,z) = u. a((x * y) \ ((x * y) / z),x,y) != u | a((x * y) \ (z \ (x * y)),x,y) = u. a((x * y) \ (z \ (x * y)),x,y) = a(x \ ((x * y) / z),x,y). a(x,y,T(z,y)) = a(y * (x / y),y,z). a(x * (y / x),x,z) = a(y,x,T(z,x)). a(x,y,T(z,y)) != u | a(x,y,z) = u. a(x,y,y \ (z * y)) != u | a(x,y,z) = u. a(x,y \ z,(y \ z) \ z) != u | a(x,y \ z,y) = u. a(x,y,y \ (z \ y)) != u | a(x,y,L(z \ 1,z,y)) = u. a(x,T(y,z),T(u,y)) != w | a(x,T(y,z),u) = w. a(x / y,y,z) != u | a(y \ x,y,z) = u. a((x * y) \ z,x,y) != u | a(x \ z,x,y) = u. ((L(x,y,z) \ x) / x) \ ((L(x,y,z) \ x) * u) = (x * u) * a(L(x,y,z) \ 1,x,u). a(x,y,z) != u | a(x,T(y,z),z) = u. a(x,x \ 1,y) != z | a(x \ 1,x,y) = z. a(R(T(x,y \ 1),y,z),y,z) != u | a((y * z) \ ((y * x) * z),y,z) = u. a((x * y) \ ((x * z) * y),x,y) = a(R(z,x,y),x,y). x != a(y,z,T(u,y * z)) | a(y,z,u) = x. a(x,y,z) = (z * y) \ ((z * (y * x)) / x). x != (y * z) \ ((y * (z * u)) / u) | L(u \ L(u,z,y),u,y * z) = x. L(x \ L(x,y,z),x,z * y) = a(x,y,z). a(x,y,z) = L(x \ L(x,y,z),x,z * y). a(x,y,z) != L(u,x,z * y) | x \ L(x,y,z) = u. L(x,y,z * u) != a(y,u,z) | y \ L(y,u,z) = x. a(x \ ((x * y) * z),x,z) = a(R(y,x,z),x,z). a(T(x,y),x \ 1,T(T(y,z),x)) = x \ L(x,x \ 1,y). x != y \ L(y,y \ 1,z) | a(y,y \ 1,z) = x. a(x,x \ 1,y) = a(T(x,y),x \ 1,T(T(y,z),x)). a(T(x,y),x \ 1,T(T(y,z),x)) = a(x,x \ 1,y). a(x,x \ 1,T(y,z)) = a(x,x \ 1,y). a(x,x \ 1,R(y \ z,u,w)) = a(x,x \ 1,R(z / y,u,w)). a(x,x \ 1,R(y / z,u,w)) = a(x,x \ 1,R(z \ y,u,w)). a(x \ ((x * y) / z),x,y) != u | a(x \ (z \ (x * y)),x,y) = u. (x * y) \ (T(z,y \ z) \ ((z * (x * K(y,z))) * y)) = a(z,x,T(y,z)). (x * y) \ (T(z,y \ z) \ ((z * x) * T(y,z))) = a(z,x,T(y,z)). (x * y) \ (K(z,y) * (z \ ((z * x) * T(y,z)))) = a(z,x,T(y,z)). (x * y) \ (z \ ((z * x) * y)) = a(z,x,T(y,z)). a(x,y,z) = a(x,y,T(z,x)). a(x,y,T(z,x)) = a(x,y,z). a(x * y,z,T(x \ 1,x * y)) != u | a(y * x,z,x \ 1) = u. a(x * y,z,y \ 1) = a(y * x,z,y \ 1). a(x,y,L(T(z,x),u,w)) = a(x,y,L(z,u,w)). a(x,y,z \ x) = a(x,y,x / z). a(x,y,x / z) = a(x,y,z \ x). a(x,y,z * x) = a(x,y,x * z). x != a(y,y \ 1,y * z) | a(y,y \ 1,z) = x. a(x,x \ 1,y) = a(x,x \ 1,y * x). a(x,x \ 1,y * x) = a(x,x \ 1,y). a(x,x \ 1,L(y * x,z,u)) = L(a(x,x \ 1,y),z,u). a(x,y,L(z \ x,u,w)) = a(x,y,L(x / z,u,w)). a(x,y,L(x / z,u,w)) = a(x,y,L(z \ x,u,w)). a(x,x \ 1,L(y,z,u)) = a(x,x \ 1,L(y * x,z,u)). a(x,x \ 1,L(y * x,z,u)) = a(x,x \ 1,L(y,z,u)). a(x,x \ 1,y * x) = a(x,x \ 1,L(y,z,y * x)). a(x,x \ 1,L(y,z,y * x)) = a(x,x \ 1,y * x). x != a(y,y \ 1,z * y) | a(y,y \ 1,z) = x. a(x,x \ 1,y) = a(x,x \ 1,L(y,z,y * x)). a(x,x \ 1,L(y,z,y * x)) = a(x,x \ 1,y). a(x,x \ 1,L(y,z,y * T(x,u))) = a(T(x,u),T(x,u) \ 1,y). a(T(x,y),T(x,y) \ 1,z) = a(x,x \ 1,L(z,u,z * T(x,y))). a(x,x \ 1,L(y,z,y * T(x,u))) != w | a(x,x \ 1,y) = w. L(R(x,a(y,x,x \ 1),z),x \ 1,y) \ (x * z) = (L(x,x \ 1,y) \ x) * z. L(R(x,a(y,x,x \ 1),z),x \ 1,y) \ (x * z) = a(y,x,x \ 1) * z. L(R(x,a(y,x,x \ 1),x \ z),x \ 1,y) \ z = a(y,x,x \ 1) * (x \ z). (x \ (x / L(x,y,z))) \ ((L(x,y,z) \ x) * u) = (x * u) * a(L(x,y,z) \ 1,x,u). (x \ (L(x,y,z) \ x)) \ ((L(x,y,z) \ x) * u) = (x * u) * a(L(x,y,z) \ 1,x,u). (L(x,y,z) \ 1) \ ((L(x,y,z) \ x) * u) = (x * u) * a(L(x,y,z) \ 1,x,u). (L(x,y,z) \ 1) \ ((L(x,y,z) \ x) * u) = (x * u) * a(x,L(x,y,z) \ 1,u). x \ (R(T(y,x \ 1),z,u) * (T(y,x \ 1) \ x)) = (x * y) \ (x * R(y,z,u)). x \ ((x / y) * R(y,z,u)) = (x * y) \ (x * R(y,z,u)). (x * y) \ (x * R(y,z,u)) = x \ ((x / y) * R(y,z,u)). (x * L(y \ 1,y,x)) \ (x * R(L(y \ 1,y,x),z,u)) = x \ ((x * y) * R(L(y \ 1,y,x),z,u)). (x * ((y * x) \ (z * x))) \ (z \ (z * (y \ (z * x)))) = a(z,x,R(z / y,y,x)). a(x,y,R(x / z,z,y)) != u | a(x,y,(z * y) \ (x * y)) = u. (x * ((y * x) \ (z * x))) \ (y \ (z * x)) = a(z,x,R(z / y,y,x)). (x / y) \ (x * R(L(y \ 1,y,x),z,u)) = x \ ((x * y) * R(L(y \ 1,y,x),z,u)). (x / y) \ (x * L(R(y \ 1,z,u),y,x)) = x \ ((x * y) * R(L(y \ 1,y,x),z,u)). (x / y) \ (x * L(R(y \ 1,z,u),y,x)) = x \ ((x * y) * L(R(y \ 1,z,u),y,x)). x != y \ ((y * z) * L(u,z,y)) | z * u = x. x * R(x \ 1,y,z) = (u / x) \ (u * L(R(x \ 1,y,z),x,u)). (x / y) \ (x * L(R(y \ 1,z,u),y,x)) = y * R(y \ 1,z,u). (x / y) \ (x * R(x \ (x / y),z,u)) = y * R(y \ 1,z,u). (x / y) * (y * R(y \ 1,z,u)) = x * R(x \ (x / y),z,u). (x / y) \ (x * R(x \ (x / y),z,u)) != w | w = y * R(y \ 1,z,u). (x / y) \ (x * R(x \ (x / y),z,u)) != w | y * R(y \ 1,z,u) = w. a((x * y) \ ((x * y) / z),x,y) != u | z * R(z \ 1,x,y) = u. x * R(x \ 1,y,z) = a((y * z) \ (x \ (y * z)),y,z). a((x * y) \ (z \ (x * y)),x,y) = z * R(z \ 1,x,y). a((x * y) \ (z \ (x * y)),x,y) != u | z * R(z \ 1,x,y) = u. x != y * R(y \ 1,z,u) | R(y \ 1,z,u) * y = x. R(x \ 1,y,z) * x = a((y * z) \ (x \ (y * z)),y,z). a((x * y) \ (z \ (x * y)),x,y) = R(z \ 1,x,y) * z. x != (y / z) * R((y / z) \ 1,u,w) | y / (R(z / y,u,w) \ z) = x. x / (R(y / x,z,u) \ y) = a((z * u) \ ((x / y) \ (z * u)),z,u). a((x * y) \ ((z / u) \ (x * y)),x,y) = z / (R(u / z,x,y) \ u). T(a((x * y) \ (L(z,u,w) \ (x * y)),x,y),z) = L(z,u,w) * T(R(L(z,u,w) \ 1,x,y),z). a(x \ (y \ (x * z)),x,z) != u | y * R(y \ 1,x,z) = u. a((x * y) \ (((z / u) / z) \ (x * y)),x,y) = (z / u) / (R(z * (u / z),x,y) \ z). a((x * y) \ ((z / (z * u)) \ (x * y)),x,y) = (z / u) / (R(z * (u / z),x,y) \ z). x != (y / z) / (R(y * (z / y),u,w) \ y) | y / ((y / R(z,u,w)) * z) = x. x / ((x / R(y,z,u)) * y) = a((z * u) \ ((x / (x * y)) \ (z * u)),z,u). a((x * y) \ ((z / (z * u)) \ (x * y)),x,y) = z / ((z / R(u,x,y)) * u). a(x \ ((y / (y * z)) \ (x * u)),x,u) = y / ((y / R(z,x,u)) * z). T(a((x * y) \ (L(z,u,w) \ (x * y)),x,y),z) = L(z,u,w) * R(T(L(z,u,w) \ 1,z),x,y). T(a((x * y) \ (L(z,u,w) \ (x * y)),x,y),z) = L(z,u,w) * R(L(z,u,w) \ 1,x,y). x != L(y,z,u) * R(L(y,z,u) \ 1,w,v5) | L(y * R(y \ 1,w,v5),z,u) = x. L(x * R(x \ 1,y,z),u,w) = T(a((y * z) \ (L(x,u,w) \ (y * z)),y,z),x). T(a((x * y) \ (L(z,u,w) \ (x * y)),x,y),z) = L(z * R(z \ 1,x,y),u,w). T(a((x * y) \ (T(z,u) * (x * y)),x,y),T(z \ 1,u)) = L(T(z \ 1,u) * R(T(z \ 1,u) \ 1,x,y),z,x * y). 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). ((L(x,y,y \ 1) \ z) \ 1) \ 1 != u | ((y \ 1) * (y * x)) \ z = u. ((x \ 1) * (x * y)) \ (x * y) = R(T(x,y),x \ 1,y * x). T((T(T(x,y),z) / u) \ w,v5 * (u / T(T(x,y),z))) * T(u \ T(T(T(x,u \ 1),y),z),v5) = T(w,v5). T((T(T(x,y),z) / u) \ w,v5 * (T(T(x,y),z) \ u)) * T(u \ T(T(T(x,u \ 1),y),z),v5) = T(w,v5). T((T(T(x,y),z) / u) \ w,v5 * (T(x,y) \ u)) * T(u \ T(T(T(x,u \ 1),y),z),v5) = T(w,v5). T((T(T(x,y),z) / u) \ w,v5 * (x \ u)) * T(u \ T(T(T(x,u \ 1),y),z),v5) = T(w,v5). T((T(T(x,y),z) / u) \ w,v5 * (x \ u)) * T(T(T(x,y),z) / u,v5) = T(w,v5). (((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). 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). R(x,y,z) * L(R(x,y,z) \ 1,u,u \ 1) = R(x * R(x \ 1,u,u \ 1),y,z). (x \ 1) * R(R(x \ 1,y,x) \ 1,z,u) = R((x \ 1) * R((x \ 1) \ 1,z,u),y,x). R((x \ 1) * R((x \ 1) \ 1,y,z),u,x) = (x \ 1) * R(R(x \ 1,u,x) \ 1,y,z). R(x,y,z) * (u * ((R(x,y,z) * u) \ 1)) = R(x * R(x \ 1,u,u \ 1),y,z). a(x,x \ 1,R(y,z,u)) = R(y * R(y \ 1,x,x \ 1),z,u). R(x * R(x \ 1,y,y \ 1),z,u) = a(y,y \ 1,R(x,z,u)). R(x * L(x \ 1,y,y \ 1),z,u) = a(y,y \ 1,R(x,z,u)). R(x * (y * ((x * y) \ 1)),z,u) = a(y,y \ 1,R(x,z,u)). R(a(x,x \ 1,y),z,u) = a(x,x \ 1,R(y,z,u)). a(x,x \ 1,R(y,z,u)) = R(a(x,x \ 1,y),z,u). a(x,x \ 1,R(y \ 1,z,u)) = R(a(y,x,x \ 1),z,u). R((x \ 1) * R((x \ 1) \ 1,y,z),u,x) = (x \ 1) * R((x \ 1) \ 1,y,z). x != (y \ 1) * R((y \ 1) \ 1,z,u) | y \ R(y,z,u) = x. x \ R(x,y,z) = R((x \ 1) * R((x \ 1) \ 1,y,z),u,x). R((x \ 1) * R((x \ 1) \ 1,y,z),u,x) = x \ R(x,y,z). R(x \ R(x,y,z),u,x) = x \ R(x,y,z). L(x \ R(x,y,z),u,x) = x \ R(x,y,z). x / y != L(z \ R(z,u,w),v5,z) | (z \ R(z,u,w)) * y = x. (x \ R(x,y,z)) * (x * u) = x * ((x \ R(x,y,z)) * u). (x \ R(x,y,z)) * (x * (R(x,y,z) \ u)) != w | ((u / R(x,y,z)) * x) * (x \ R(x,y,z)) = w. ((x / R(y,z,u)) * y) * (y \ R(y,z,u)) = y * ((y \ R(y,z,u)) * (R(y,z,u) \ x)). a(x \ R(x,y,z),x,u) = (x * ((x \ R(x,y,z)) * u)) \ (((x \ R(x,y,z)) * x) * u). (x * ((x \ R(x,y,z)) * u)) \ (((x \ R(x,y,z)) * x) * u) = a(x \ R(x,y,z),x,u). (x * ((x \ R(x,y,z)) * u)) \ (R(x,y,z) * u) = a(x \ R(x,y,z),x,u). a(x \ R(x,y,z),x,u) != w | a(x,x \ R(x,y,z),u) = w. a(x,x \ R(x,y,z),x \ u) = u / ((u / R(x \ R(x,y,z),x,x \ u)) * (x \ R(x,y,z))). x / ((x / R(y \ R(y,z,u),y,y \ x)) * (y \ R(y,z,u))) = a(y,y \ R(y,z,u),y \ x). x / ((x / L(y \ R(y,z,u),y,y \ x)) * (y \ R(y,z,u))) = a(y,y \ R(y,z,u),y \ x). x / ((x / L(y \ R(y,z,u),y,x)) * (y \ R(y,z,u))) = a(y,y \ R(y,z,u),y \ x). x / (((x / R(y,z,u)) * y) * (y \ R(y,z,u))) = a(y,y \ R(y,z,u),y \ x). (x * y) \ ((x * (y * z)) * L((x * (y * z)) \ (x * y),u,w)) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). (x * y) \ (x * ((y * z) * L((y * z) \ (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(1 / x,y,z) * L(L(1 / x,y,z) \ 1,u,w) = L((1 / x) * L(x,u,w),y,z). x * L(L(x,y,x) \ 1,z,u) = L(x * L(x \ 1,z,u),y,x). L(x * L(x \ 1,y,z),u,x) = x * L(L(x,u,x) \ 1,y,z). L(x * L(x \ 1,y,z),u,x) = x * L(x \ 1,y,z). x \ y != L(z * L(z \ 1,u,w),v5,z) | y / (z * L(z \ 1,u,w)) = x. (x * y) / (x * L(x \ 1,z,u)) = x * (y / (x * L(x \ 1,z,u))). (x * (y * (x * L(x \ 1,z,u)))) / (y * (x * L(x \ 1,z,u))) = R(x,y,L(x * L(x \ 1,z,u),y,x)). (x * L(x \ 1,y,z)) * (x \ u) = (x \ u) * T(x * L(x \ 1,y,z),u). (x \ y) * T(x * L(x \ 1,z,u),y) = (x * L(x \ 1,z,u)) * (x \ y). (x * (L(x \ 1,x,y) * z)) / (x * L(x \ 1,x,y)) != u | L(z,x,y \ (y / x)) = u. L(x,y,z \ (z / y)) = y * ((L(y \ 1,y,z) * x) / (y * L(y \ 1,y,z))). x * ((L(x \ 1,x,y) * z) / (x * L(x \ 1,x,y))) = L(z,x,y \ (y / x)). T(x,y * (((z / u) * L((z / u) \ 1,w,v5)) * ((z / u) \ 1))) = T(x,y * (((u \ z) \ 1) * T((z / u) * L((z / u) \ 1,w,v5),1))). T(x,y * (((z \ u) \ 1) * T((u / z) * L((u / z) \ 1,w,v5),1))) = T(x,y * (((u / z) * L((u / z) \ 1,w,v5)) * ((u / z) \ 1))). x * ((L(x \ 1,x,y) * z) / a(x,x \ 1,y)) = L(z,x,y \ (y / x)). L(x \ 1,y,z) * L(L(1 / x,y,z) \ 1,u,w) = L((1 / x) * L(x,u,w),y,z). L(x \ 1,y,z) * L(L(x \ 1,y,z) \ 1,u,w) = L((1 / x) * L(x,u,w),y,z). L(x \ 1,y,z) * L(R(x,y \ 1,z \ 1),u,w) = L((1 / x) * L(x,u,w),y,z). L(x \ 1,y,z) * L(R(x,y \ 1,z \ 1),u,w) = L(x \ L(x,u,w),y,z). x = R(x,y,L(x * L(x \ 1,z,u),y,x)). R(x,y,L(x * L(x \ 1,z,u),y,x)) = x. R(x,y,x * L(x \ 1,z,u)) = x. x \ (x * y) = R(y,z,y * L(y \ 1,u,w)). R(x,y,x * L(x \ 1,z,u)) = w \ (w * x). (((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). T(a(T(x,y),z,u),T(x \ 1,y)) = L(T(x \ 1,y) * R(T(x \ 1,y) \ 1,z,u),x,z * u). L(T(x \ 1,y) * R(T(x \ 1,y) \ 1,z,u),x,z * u) = T(a(T(x,y),z,u),T(x \ 1,y)). T(a(T(x,y),z,u),x \ 1) = L(T(x \ 1,y) * R(T(x \ 1,y) \ 1,z,u),x,z * u). L(T(x \ 1,y) * R(T(x \ 1,y) \ 1,z,u),x,z * u) = T(a(T(x,y),z,u),x \ 1). x != T(a(T(y,z),u,w),y \ 1) | a(T(y,z),u,w) = x. a(T(x,y),z,u) = L(T(x \ 1,y) * R(T(x \ 1,y) \ 1,z,u),x,z * u). L(T(x \ 1,y) * R(T(x \ 1,y) \ 1,z,u),x,z * u) = a(T(x,y),z,u). L(T(x \ 1,y) * R(T((x \ 1) \ 1,y),z,u),x,z * u) = a(T(x,y),z,u). L(T(x \ 1,y) * R(T(x,y),z,u),x,z * u) = a(T(x,y),z,u). L(T(x \ R(x,y,z),u),x,y * z) = a(T(x,u),y,z). L(T(x \ R(x,y,z),u),x,y * z) != w | T(a(x,y,y \ (y * z)),u) = w. T(a(x,y,y \ (y * z)),u) = a(T(x,u),y,z). 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 * y) \ ((x * a(x,z,u)) * y) = R(a(T(x,x * y),z,u),x,y). (x * y) \ ((x * a(x,z,u)) * y) = R(a(T(x,y),z,u),x,y). (x * y) * R(a(T(x,y),z,u),x,y) = (x * a(x,z,u)) * y. (x * y) * R(T(a(x,z,u),y),x,y) = (x * a(x,z,u)) * y. (x * y) * R(T(a(x,z,u),y),x,y) = (a(x,z,u) * x) * y. R(T(a(x,y,z),x * u),x,u) = R(T(a(x,y,z),u),x,u). x * (y * R(T(a(x,z,u),y),x,y)) = (x * L(a(x,z,u),y,x)) * y. x * (R(a(x,y,z),x,u) * u) = (x * L(a(x,y,z),u,x)) * u. (x * L(a(x,y,z),u,x)) * u = x * (R(a(x,y,z),x,u) * u). R(x,y,z) * (x * (u * L(u \ (x \ (x * (R(x,y,z) \ u))),w,v5))) = (R(x,y,z) * L(R(x,y,z) \ 1,w,v5)) * (x * u). (x * R(x \ (x * K(y,z)),u,w)) * K(z,v5) = R(x,K(y,z),K(z,v5)) * (R(K(y,z),u,w) * K(z,v5)). R(x,K(y,z),K(z,u)) * (R(K(y,z),w,v5) * K(z,u)) = (x * R(x \ (x * K(y,z)),w,v5)) * K(z,u). R(x,K(y,z),K(z,u)) * (R(K(y,z),w,v5) * K(z,u)) = (x * R(K(y,z),w,v5)) * K(z,u). x * (R(K(y,z),u,w) * K(z,v5)) = (x * R(K(y,z),u,w)) * K(z,v5). (x * R(K(y,z),u,w)) * K(z,v5) = x * (R(K(y,z),u,w) * K(z,v5)). x != y * (z * K(u,w)) | y * (K(u,w) * z) = x. x * (K(y,z) * R(K(u,y),w,v5)) = (x * R(K(u,y),w,v5)) * K(y,z). (x * R(K(y,z),u,w)) * K(z,v5) = x * (K(z,v5) * R(K(y,z),u,w)). (x * R(K(y,z),u,w)) * K(z,v5) != v6 | x / (K(v5,z) * R(K(z,y),u,w)) = v6. x / (K(y,z) * R(K(z,u),w,v5)) = x * (K(z,y) * R(K(u,z),w,v5)). x = (x * (K(y,z) * R(K(z,u),w,v5))) * (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. (x * a(K(y,z),u,w)) * (K(y,z) * R(K(z,y),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). R(x,y,z) * (x * (u * L(u \ (R(x,y,z) \ u),w,v5))) = (R(x,y,z) * L(R(x,y,z) \ 1,w,v5)) * (x * u). x * (R(x,y,z) * (u * L(u \ (R(x,y,z) \ u),w,v5))) = (R(x,y,z) * L(R(x,y,z) \ 1,w,v5)) * (x * u). x * ((R(x,y,z) * L(R(x,y,z) \ 1,u,w)) * v5) = (R(x,y,z) * L(R(x,y,z) \ 1,u,w)) * (x * v5). (R(x,y,z) * L(R(x,y,z) \ 1,u,w)) * (x * v5) = x * ((R(x,y,z) * L(R(x,y,z) \ 1,u,w)) * v5). (R(x,y,z) * L(R(x,y,z) \ 1,u,w)) * (x * v5) = x * (R(x * L(x \ 1,u,w),y,z) * v5). R(x * L(x \ 1,y,z),u,w) * (x * v5) = x * (R(x * L(x \ 1,y,z),u,w) * v5). L(x,y,z) * (x \ u) = (L(x \ 1,x,u) * L(L(x \ 1,x,u) \ 1,y,z)) * u. (L(x \ 1,x,y) * L(L(x \ 1,x,y) \ 1,z,u)) * y = L(x,z,u) * (x \ y). (L(x \ 1,x,y) * L(R(x,x \ 1,y \ 1),z,u)) * y = L(x,z,u) * (x \ y). L(x \ L(x,y,z),x,u) * u = L(x,y,z) * (x \ u). T((x / y) * L(y,z,u),x) = L(y,z,u) * (y \ x). x \ y != T((z / u) * L(u,w,v5),z) | y / (L(u,w,v5) * (u \ z)) = x. x / (L(y,z,u) * (y \ x)) = ((x / y) * L(y,z,u)) \ x. x != ((y / z) * u) \ y | y \ ((y / u) * z) = x. x \ ((x / L(y,z,u)) * y) = x / (L(y,z,u) * (y \ x)). x / (L(y,z,u) * (y \ x)) = x \ ((x / L(y,z,u)) * y). x / (L(y,z,u) * (y \ x)) != w | R(L(y,z,u) \ y,L(y,z,u),y \ x) = w. R(L(x,y,z) \ x,L(x,y,z),x \ u) = u \ ((u / L(x,y,z)) * x). L(L(x,y,z) \ x,L(x,y,z),x \ u) = u \ ((u / L(x,y,z)) * x). L(L(x,y,z) \ x,L(x,y,z),x \ (z * (y * x))) = (z * (y * x)) \ ((z * y) * x). a(x,y,z) = L(L(z,y,x) \ z,L(z,y,x),z \ (x * (y * z))). L(L(x,y,z) \ x,L(x,y,z),x \ (z * (y * x))) != u | a(z,y,x) = 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). K(x \ 1,y) * K(y,R(x,z,u) \ 1) != w | a(K(y,x \ 1),z,u) = w. a(K(x,R(y,z,u) \ 1),w,v5) = R(K(y \ 1,x) * K(x,R(y,w,v5) \ 1),z,u). 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 != a(K(y,R(z,u,w) \ 1),v5,v6) | a(K(z,R(y,u,w)),v5,v6) = x. 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). 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). T(x,y * (((z \ u) \ 1) * T((u / z) * L((u / z) \ 1,w,v5),1))) = T(x,y * L((u / z) \ 1,w,v5)). T(x,y * (((z \ u) \ 1) * T((u * L(u \ z,w,v5)) / z,1))) = T(x,y * L((u / z) \ 1,w,v5)). T(x,y * (((z \ u) \ 1) * ((u * L(u \ z,w,v5)) / z))) = T(x,y * L((u / z) \ 1,w,v5)). T(x,y * (((z \ u) \ 1) * (z \ (u * L(u \ z,w,v5))))) = T(x,y * L((u / z) \ 1,w,v5)). T(x,y * L((z \ u) \ 1,w,v5)) = T(x,y * L((u / z) \ 1,w,v5)). T(x,y * L((z / u) \ 1,w,v5)) = T(x,y * L((u \ z) \ 1,w,v5)). x / (T(K(y,z),u) * (((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),u) * ((y \ x) * y)) = K(z,((y \ 1) * x) \ x) * K(((y \ 1) * x) \ x,(y \ 1) * x). x / ((y \ x) * T(y,z)) = 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 / ((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 * u)) \ (y * u),(y \ 1) * (y * u)) = (y * u) / (u * T(y,x)). T(K(x,y),z) * K(R(T(y,u),y \ 1,u * y),(y \ 1) * (y * u)) = (y * u) / (u * T(y,x)). T(K(x,y),z) * K(R(T(y,u),y \ 1,u * y),L(u,y,y \ 1)) = (y * u) / (u * T(y,x)). T(K(x,y),z) * K(R(y,y \ 1,u * y),L(u,y,y \ 1)) = (y * u) / (u * T(y,x)). T(K(x,y),z) * K(y,u) = (y * u) / (u * T(y,x)). (x * y) / (y * T(x,z)) = T(K(z,x),u) * K(x,y). x != T(y,z) * K(u,w) | T(y * K(u,w),z) = x. T(K(x,y) * K(y,z),u) = (y * z) / (z * T(y,x)). x != (y * R(z,u,w)) / (R(z,u,w) * T(y,z)) | K(y * z,y * R(z,u,w)) = x. K(x * y,x * R(y,z,u)) = T(K(y,x) * K(x,R(y,z,u)),w). T(K(x,y) * K(y,R(x,z,u)),w) = K(y * x,y * R(x,z,u)). T(a(K(x,y),z * y,u),w) = K(x * y,x * R(y,z,u)). a(K(x,y),z * y,u) = K(x * y,x * R(y,z,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). K(x,(y \ x) * R(y,z,u)) = a(K(x / y,y),z * y,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(x,y),z * y,u). 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)). R(a(K(x,y),z * y,u),R(y,z,u),z * u) = K(x,a(y,z,u)). R(a(K(x,y),z,u),w,v5) != v6 | a(K(x,R(y,w,v5)),z,u) = v6. a(K(x,R(y,R(y,z,u),z * u)),z * y,u) = K(x,a(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(K(x,R(y,x * R(y,z,u),w)),z * y,u) = a(K(x,y),z * y,u). a(K(x,R(y,x * z,u)),w,v5) != v6 | a(K(x,R(y,z,u)),w,v5) = v6. a(K(x,R(y,R(y,z,u),w)),z * y,u) = a(K(x,y),z * y,u). a(K(x,R(y,R(y,z,u),z * u)),z * y,u) != w | K(x,a(y,z,u)) = 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)). K(x,x * a(y,z,u)) = a(K(x,y),z * y,u). x != a(K(y,z),u * z,w) | a(K(y,z),u,w) = x. a(K(x,y),z,u) = K(x,x * a(y,z,u)). K(x,x * a(y,z,u)) = a(K(x,y),z,u). K(x,x * a(y,z,u)) != w | a(y,z,K(x,u)) = w. a(x,y,K(z,u)) = a(K(z,x),y,u). 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). (T(x,x \ y) * a(z,u,K(w,v5))) \ ((x \ y) \ y) != v6 | a(z,u,K(v5,w)) = v6. 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(y,z,K(x,u)) = w. a(x,y,K(z,u)) = a(z,y,K(u,x)). a(x,y,K(z,u)) = a(u,y,K(x,z)). a(K(x,x \ y),z,u) != w | a(K(x,y),z,u) = w. a(K(x,y),z,u) = a(x,z,K(u,x \ y)). a(x,y,K(z,x \ u)) = a(K(x,u),y,z). a(K(x,y),z,u) = a(x,z,K(u,L(y,w,x))). a(x,y,K(z,L(u,w,x))) = a(K(x,u),y,z). a(K(x,y \ z),u,w) = a(x,u,K(w,z * (y \ x))). a(x,y,K(z,u * (w \ x))) = a(K(x,w \ u),y,z). x != a(y,z,K(u,w)) | a(K(y,w),z,u) = x. a(K(x,y),z,u) = a(u,z,K(y,x)). x != a(y,z,K(u,w)) | a(y,w \ z,K(u,w)) = x. a(x,y \ z,K(u,y)) = a(u,z,K(y,x)). x != a(y,z,K(u,w)) | K(u,a(y,z,w)) = x. K(x,a(y,z,u)) = a(x,z,K(u,y)). a(x,y,K(z,u)) = K(x,a(u,y,z)). x != a(y,z,K(u \ 1,w)) | a(y,z,K(w,u)) = x. a(x,y,K(z,u)) = a(u \ 1,y,K(z,x)). a(x \ 1,y,K(z,u)) = a(u,y,K(z,x)). x \ y != a(z,u,K(w,v5)) | y / a(w,u,K(v5,z)) = x. x / a(y,z,K(u,w)) = x * a(w,z,K(u,y)). a(x,y,K(z,u \ w)) = a(z,y,K(x,w \ u)). x / y != a(z,u,K(w,v5)) | a(v5,u,K(z,w)) * y = x. a(x,y,K(z,u)) * w = w * a(z,y,K(u,x)). a(x,y,K(z,u \ w)) = a((z * u) \ w,y,K(x,z)). a((x * y) \ z,u,K(w,x)) = a(w,u,K(x,y \ z)). a(x,y,K(z,u \ w)) = a(u \ (z \ w),y,K(x,z)). a(x \ (y \ z),u,K(w,y)) = a(w,u,K(y,x \ z)). x * a(y,z,K(u,w)) != v5 | a(w,z,K(y,u)) * x = v5. K(x,y) * a(x,z,K(u,y)) = K(x,L(y,z,u)). K(x,y) * a(y,z,K(x,u)) = K(x,L(y,z,u)). a(x,x \ y,K(z,u)) != w | a(z,y,K(u,x)) = w. K(x,y) * a(x,z,K(u,y)) != w | K(x,L(y,z,u)) = w. K(x,y) * a(y,z,K(x,u)) != w | K(x,L(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)) | K(a(y,z,u),w) = x. K(a(x,y,z),u) = a(K(u,z),y,x). a(K(x,y),z,u) = K(a(u,z,y),x). x \ y != K(z,a(u,w,v5)) | x * a(z,w,K(v5,u)) = y. x * a(x,y,K(z,u)) = T(x,a(u,y,z)). x * a(x,y,K(z,u)) != w | T(x,a(u,y,z)) = w. (x * y) * a(y,z,K(u,w)) != x * v5 | T(y,a(w,z,u)) = v5. x != a(K(y,z),u,w) | a(y,u,K(w,z)) = x. a(x,y,K(z,u)) = a(x,y,K(z,x \ u)). a(x,y,K(z,x \ u)) = a(x,y,K(z,u)). a(x,y,K(z,u)) != w | a(z,y,K(u,x)) = w. a(x,y \ z,K(y,u)) = a(x,z,K(y,u)). a(x,y,K(z,u)) != w | a(u,y,K(x,z)) = w. K((((x \ 1) * y) * z) * (((y * z) \ 1) * x),u) = a(u,y,K(z,x)). x * a(x,y,K(z,u)) = T(x,a(z \ 1,y,u)). T(x,a(y \ 1,z,u)) = x * a(x,z,K(y,u)). x * 1 = T(x,a(y,z,z)). T(x,a(y,z,z)) = x * 1. x = T(x,a(y,z,z)). T(x,a(y,z,z)) = x. T(x,a(y,z,z)) != u | x = u. a(x,y,y) \ z = z / a(x,y,y). x / a(y,z,z) = a(y,z,z) \ x. x * a(y,z,z) = a(y,z,z) * x. a(x,y,y) * z = z * a(x,y,y). T(a(x,y,y),z) = a(x,y,y). a(x,y,y) * z != u * a(x,y,y) | u = z. x / a(y,z,z) != u | a(y,z,z) \ x = u. x * y != z * a(u,w,w) | x \ (a(u,w,w) * z) = y. (x * (y * a(z,u,u))) \ (a(z,u,u) * (x * y)) = a(x,y,a(z,u,u)). a(x,a(y,z,z),u) = (x * (u * a(y,z,z))) \ ((x * a(y,z,z)) * u). (x * (y * a(z,u,u))) \ ((x * a(z,u,u)) * y) = a(x,a(z,u,u),y). a(x,y,K(z,u)) = a(x,y,K(z,x * u)). a(x,y,K(z,x * u)) = a(x,y,K(z,u)). a(x,y,K(z \ u,L(w,z,u \ x))) = a(x,y,K(w,(u \ x) * z)). a(x,y,K(x * (((x \ 1) / z) * u),w)) = a(x,y,K(w,((x \ 1) / u) * z)). a(x,y,K(z,u)) = a(x,y,K(z,L(u,w,x))). a(x,y,K(z,L(u,w,x))) = a(x,y,K(z,u)). a(x,y,K(z,u \ w)) != v5 | a(z,y,K(x,w \ u)) = v5. a(K(x,y),z,u) != w | a(x,z,K(u,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,K(z,u \ (x * w))). K(x,L(y,z,u) \ y) != w | a(x,z,K(y,u)) = w. ((x * y) * K(z,u)) \ (x * (y * K(z,u))) = a(u,y,K(z,x)). K(L(x,y,z),u \ w) = K(w \ u,x) * a(w \ u,y,K(z,x)). K(x \ y,z) * a(x \ y,u,K(w,z)) = K(L(z,u,w),y \ x). K(x,y) * a(x,z,K(u \ w,y)) = K(x,L(y,z,(w \ u) \ 1)). K(x,y) * a(x,z,K(u,y)) = K(x,L(y,u \ z,u)). K(x,L(y,z \ u,z)) = K(x,y) * a(x,u,K(z,y)). K(x,y) * a(y,z,K(u,x)) = K(x,L(y,z,u \ x)). K(x,T(y,z)) * a(T(y,z),z,K(x,z \ u)) = K(x,u \ ((u / z) * (y * z))). K(x,y \ ((y / z) * (u * z))) = K(x,T(u,z)) * a(T(u,z),z,K(x,z \ y)). a(x,y,K(z,u)) \ w != v5 | w * a(u,y,K(z,x)) = v5. x != y * a(y,z,K(u,w)) | T(y,a(w,z,u)) = x. T(x,a(y,z,u)) = T(x,a(u \ 1,z,y)). T(x,a(y \ 1,z,u)) = T(x,a(u,z,y)). x = T(x,a(y,y,z)). T(x,a(y,y,z)) = x. a(x,x,y) \ z = z / a(x,x,y). x / a(y,y,z) = a(y,y,z) \ x. x * a(y,y,z) = a(y,y,z) * x. a(x,x,y) * z = z * a(x,x,y). T(a(x,x,y),z) = a(x,x,y). T(x,a(y \ 1,z,u)) != w | T(x,a(u,z,y)) = w. T(x,a(y,z \ 1,z)) = x. x / a(y,y,z) != u | a(y,y,z) \ x = u. x != y * a(z,z,u) | a(z,z,u) * y = x. x * a(y,y,z) != u | a(y,y,z) * x = u. T(x,a(y,z,z \ 1)) = x. a(x,y,y \ 1) \ z = z / a(x,y,y \ 1). x / a(y,z,z \ 1) = a(y,z,z \ 1) \ x. x * a(y,z,z \ 1) = a(y,z,z \ 1) * x. a(x,y,y \ 1) * z = z * a(x,y,y \ 1). T(a(x,y,y \ 1),z) = a(x,y,y \ 1). T(x,y) * a(z,z,u) = T(a(z,z,u) * x,y). T(a(x,x,y) * z,u) = T(z,u) * a(x,x,y). T(a(x,y,z),u) != w | a(T(x,u),y,z) = w. a(T(x,y),z,z \ 1) = a(x,z,z \ 1). x * (y * a(x,z,z \ 1)) = a(x,z,z \ 1) * (x * y). a(x,y,y \ 1) * (x * z) = x * (z * a(x,y,y \ 1)). a(T(x * y,z),x,x \ 1) != u | a(T((x \ 1) \ y,z),x \ 1,(x \ 1) \ 1) = u. a(T((x \ 1) \ y,z),x \ 1,(x \ 1) \ 1) = a(x * y,x,x \ 1). a(x * y,z,z \ 1) = a(y * x,z,z \ 1). a(R(x \ y,z,u),w,w \ 1) = a(R(y / x,z,u),w,w \ 1). a(R(x / y,z,u),w,w \ 1) = a(R(y \ x,z,u),w,w \ 1). x * ((a(y,z,z \ 1) * (u \ x)) \ x) = (x / a(y,z,z \ 1)) * T(u,x). a(x,x,y) * T(z,u) = T(a(x,x,y) * z,u). T(a(x,x,y) * z,u) = a(x,x,y) * T(z,u). x * T(a(y,y,z) * (a(y,y,z) \ (x \ u)),u) = T(u,x * a(y,y,z)). a(x,y,K(z,u * (w \ x))) != v5 | a(x,y,K(z,w \ u)) = v5. x != K(y,z) * a(y,u,K(w,z)) | K(y,L(z,u,w)) = x. K(x,L(y,z,u)) = K(x,L(y,u \ z,u)). K(x,L(y,z \ u,z)) = K(x,L(y,u,z)). K(x,y \ (z * u)) = K(x,(z \ y) \ u) * a(x,y,K(z,(z \ y) \ u)). K(x,(y \ z) \ u) * a(x,z,K(y,(y \ z) \ u)) = K(x,z \ (y * u)). K(x,(y * z) \ u) = K(x,L(z \ (y \ u),u,y)). K(x,L(y \ (z \ u),u,z)) = K(x,(z * y) \ u). K(x \ y,z) = K(x \ y,L(z,y,x)). K(x \ y,L(z,y,x)) = K(x \ y,z). K(x,y \ (z * u)) = K(x,L((z \ y) \ u,y,z)). K(x,L((y \ z) \ u,z,y)) = K(x,z \ (y * u)). K(x \ y,L(z,y,x)) != u | K(z,y \ x) = u. K(x,L(y \ T(z,u),u,z \ u)) = K(x,((z \ u) * y) \ u). K(x,y \ (z * u)) = K(x,L((u \ y) \ z,y,u)). K(x,L((y \ z) \ u,z,y)) = K(x,z \ (u * y)). K(x,L((y \ z) \ u,z,y)) != w | K(x,z \ (u * y)) = w. K(x,L((y \ z) \ u,z,y)) != w | K(x,z \ (y * u)) = w. K(L(x,y,z),u) * a(u,w,K(y,x)) = K(L(x,y,z),L(u,w,y \ L(x,y,z))). K(L(x,y,z),L(u,w,y \ L(x,y,z))) = K(L(x,y,z),u) * a(u,w,K(y,x)). K(x,y * (z \ u)) * a(x,w,K(u,z \ y)) != v5 | K(x,L(y * (z \ u),w,u)) = v5. K(x,L(y,z \ u,z)) != w | K(x,L(y,u,z)) = w. K(x,y) * a(y,z,K(u,x)) != w | K(x,L(y,z,u \ x)) = w. K(x,y) * a(y,z,K(u,x)) != w | K(x,L(y,z,u \ 1)) = w. a(x,y,K(z,u \ y)) != w | a(z,u,K(x,y \ u)) = w. x * a(y,z,K(u,w)) != v5 | x * a(u,z,K(w,y)) = v5. a(x,x \ y,K(z,(x \ y) \ u)) != w | K(z,(x * u) \ y) * K(u \ (x \ y),z) = w. K(x,(y * z) \ u) * K(z \ (y \ u),x) = a(y,y \ u,K(x,u \ (y * z))). a(x,x \ y,K(z,y \ (x * u))) = K(z,(x * u) \ y) * K(u \ (x \ y),z). a(x,y,y \ 1) * ((y \ x) * z) = (y \ x) * (z * a(y \ x,y,y \ 1)). (x \ y) * (z * a(x \ y,x,x \ 1)) = a(y,x,x \ 1) * ((x \ y) * z). K((x \ y) * (z \ (u \ 1)),L(w,y,x)) != v5 | K(w,y \ (x * ((z \ 1) \ u))) = v5. T(x,a(y,z,u)) = R(x,z,K(u,y)). R(x,y,K(z,u)) = T(x,a(u,y,z)). L(x,y,K(z,u)) = T(x,a(u,y,z)). x != T(y,a(z,u,w)) | y * a(y,u,K(w,z)) = x. x * a(x,y,K(z,u)) = L(x,y,K(z,u)). K(x,L(y,z,K(u,w)) \ v5) = K(x,y \ v5). x * a(y,z,K(u,x)) = L(x,z,K(y,u)). K(x,(y \ z) * K(u,w)) = K(x,y \ (z * K(u,w))). K(x,y \ (z * K(u,w))) = K(x,(y \ z) * K(u,w)). K(x,y \ (K(z,u) * w)) = K(x,(y \ w) * K(z,u)). K(x,y \ (z * (u * K(w,v5)))) = K(x,(y \ (z * u)) * K(w,L(v5,u,z))). K(x,(y \ (z * u)) * K(w,L(v5,u,z))) = K(x,y \ (z * (u * K(w,v5)))). K(x,(((K(y,z) * u) * w) \ v5) * K(y,L(z,u,w))) != v6 | K(x,(u * w) \ v5) = v6. x \ (x * a(y,z,K(u,w))) = ((w * z) * K(u,y)) \ (w * (z * K(u,y))). ((x * y) * K(z,u)) \ (x * (y * K(z,u))) = w \ (w * a(u,y,K(z,x))). ((x * y) * K(z * u,z)) \ (x * (y * K(u,z))) = a(z,y,K(z * u,x)). K(x,L(y \ z,u,z \ u)) = K(x,((z \ u) * y) \ u). x != K(y,((z \ u) * w) \ v5) | K(y,((u / z) * w) \ v5) = x. K(x,((y / z) * u) \ y) = K(x,L(u \ z,y,z \ y)). K(x,L(y \ z,u,z \ u)) = K(x,((u / z) * y) \ u). K(x,L(y \ z,u,z \ u)) = K(x,u \ ((u / y) * z)). x != K(y,z \ ((u / w) * v5)) | K(y,z \ ((w \ u) * v5)) = x. K(x,y \ ((z \ y) * u)) = K(x,L(z \ u,y,u \ y)). K(x,L(y \ z,u,z \ u)) = K(x,u \ ((y \ u) * z)). K(x,L(y \ z,u,z \ u)) != w | K(x,((z \ u) * y) \ u) = w. K(x,((y \ z) * u) \ z) = K(x,z \ ((u \ z) * y)). x != K(y,z \ (u * w)) | K(y,L((u \ z) \ w,z,u)) = x. K(x,L(((y \ z) \ z) \ u,z,y \ z)) = K(x,((u \ z) * y) \ z). K(x,L(y,z,u \ 1)) = K(x,L(y,z,u \ x)). K(x,L(L(y,z,u \ 1),w,v5)) = K(L(x,w,v5),L(y,z,u \ L(x,w,v5))). K(L(x,y,z),L(u,w,v5 \ L(x,y,z))) = K(x,L(L(u,w,v5 \ 1),y,z)). K(x,y \ z) * a(z \ y,u,K(w,x)) = K(L(x,u,w),y \ z). K(x,L(y,z,u \ w)) = K(x,L(y,z,(w \ u) \ 1)). K(x,L(y,z,(u \ w) \ 1)) = K(x,L(y,z,w \ u)). K(x,L(y,z,(u \ w) \ 1)) != v5 | K(x,L(y,z,(u \ 1) \ (w \ 1))) = v5. K(x,L(y,z,(u \ 1) \ (w \ 1))) = K(x,L(y,z,w \ u)). K(x,L(y,z,(u / w) \ 1)) = K(x,L(y,z,u \ w)). x != K(L(y,z,u),w) | K(y,L(w,z,u)) = x. K(x,L(y \ z,u,w)) = K(x,y \ z) * a(z \ y,u,K(w,x)). K(x,y \ z) * a(z \ y,u,K(w,x)) = K(x,L(y \ z,u,w)). K(x,L(y \ z,u,w)) * K(y \ z,x) = a(z \ y,u,K(w,x)). K(x,L(y \ z,u,w)) * K(x,z \ y) = a(z \ y,u,K(w,x)). K(x,y \ z) * K(x,L(z \ y,u,w)) = a(y \ z,u,K(w,x)). a(x,y,K(z \ u,L(w,z,u \ x))) = a(x,y,K(w,z * (u \ x))). K(x,L(T(y,z) \ u,z,y \ z)) = K(x,((u \ z) * y) \ z). K(x,((y \ z) * u) \ z) != w | K(x,z \ ((u \ z) * y)) = w. K(x,L(y \ z,u,y \ u)) = K(x,((z \ u) * y) \ u). x != K(y,((z \ u) * w) \ u) | K(y,u \ ((w \ u) * z)) = x. K(x,y \ ((z \ y) * u)) = K(x,L(z \ u,y,z \ y)). K(x,L(y \ z,u,y \ u)) = K(x,u \ ((y \ u) * z)). (x \ K(y,z \ ((u \ z) * w))) \ (x \ 1) = K(L(u \ w,z,u \ z),y). K(L(x \ y,z,x \ z),u) = (w \ K(u,z \ ((x \ z) * y))) \ (w \ 1). K(x,L(y \ z,u,y \ u)) != w | K(x,u \ ((y \ u) * z)) = w. a(x,y,K(z \ u,L(w,z,u \ x))) != v5 | a(x,y,K(w,u \ z)) = v5. a(x,y,y \ 1) = a(T((y \ 1) \ x,z),y \ 1,(y \ 1) \ 1). a(T((x \ 1) \ y,z),x \ 1,(x \ 1) \ 1) = a(y,x,x \ 1). a(T((x \ 1) \ y,z),x \ 1,x) = a(y,x,x \ 1). a(T((x \ 1) \ y,z),x,x \ 1) = a(y,x,x \ 1). a((x \ 1) \ y,x,x \ 1) = a(y,x,x \ 1). a((x \ 1) \ y,x,x \ 1) != z | (x \ ((x \ 1) \ y)) \ y = z. (x \ ((x \ 1) \ y)) \ y = a(y,x,x \ 1). (x \ 1) \ ((x \ ((x \ 1) \ y)) \ y) = L(x,x \ 1,y \ 1). x * T(x \ y,y) = T(y,x * a(z,z,u)). T(x,y * a(z,z,u)) = y * T(y \ x,x). x != y * T(y \ z,z) | T(z,y) = x. T(x,y) = T(x,y * a(z,z,u)). T(x,y * a(z,z,u)) = T(x,y). T(x,y) = T(x,a(z,z,u) \ y). T(x,a(y,y,z) \ u) = T(x,u). T(x,a(y,y,z) * u) = T(x,u). T(x,(y * y) * z) = T(x,y * (y * z)). T(x,y * ((z \ u) \ y)) = T(x,y * (y * (u \ z))). T(x,(y * y) * (z * u)) = T(x,y * (y * (u * z))). T(x,y * (((z \ 1) * u) \ y)) = T(x,y * (y * (z * (u \ 1)))). T(x,y * (((z \ 1) * u) \ y)) != w | T(x,((y \ 1) \ z) * ((u / y) \ 1)) = w. T(x,((y \ 1) \ z) * ((u / y) \ 1)) = T(x,y * (y * (z * (u \ 1)))). T(x,(y / z) \ ((z \ 1) \ u)) = T(x,z * (z * (u * (y \ 1)))). T(x,((y \ 1) \ z) * (u \ y)) = T(x,y * (y * (z * (u \ 1)))). K(x,(y \ z) \ u) * a(x,z,K(y,z \ u)) = K(x,z \ (y * u)). K(x,(y \ (z * u)) * K(w,v5)) = K(x,y \ (z * (u * K(v6,v7)))). K(x,y \ (z * (u * K(w,v5)))) = K(x,(y \ (z * u)) * K(v6,v7)). K(x,y \ (z * (T(u,z) * K(w,v5)))) != v6 | K(x,y \ ((K(w,v5) * u) * z)) = v6. K(x,y \ ((K(z,u) * w) * v5)) = K(x,(y \ (v5 * T(w,v5))) * K(v6,v7)). K(x,y \ ((K(z,u) * w) * v5)) = K(x,(y \ (w * v5)) * K(v6,v7)). K(x,L(y,z,K(u,w) * v5)) = K(x,(((K(u,w) * v5) * z) \ (v5 * (z * y))) * K(v6,v7)). K(x,(((K(y,z) * u) * w) \ (u * (w * v5))) * K(v6,v7)) = K(x,L(v5,w,K(y,z) * u)). ((x * y) * K(z,u)) \ (x * (y * K(z,u))) != w | w = a(u,y,K(z,x)). ((x * y) * K(z,u)) \ (x * (y * K(z,u))) != w | a(u,y,K(z,x)) = w. ((x * y) * K(z,u)) \ (x * (y * K(z,u))) = w \ (w / a(x,y,K(z,u))). ((x * y) * K(z,u)) \ (x * (y * K(z,u))) = a(u,y,K(u * z,x)). a(x,y,K(x * z,u)) != w | a(x,y,K(z,u)) = w. x != (y \ K(z,u)) \ (y \ 1) | K(u,z) = x. K(x \ ((y \ x) * z),u) = K(L(y \ z,x,y \ x),u). K(L(x \ y,z,x \ z),u) = K(z \ ((x \ z) * y),u). K(x,((y \ z) * u) \ z) = K(L(y \ u,z,y \ z),x). K(L(x \ y,z,x \ z),u) = K(u,((x \ z) * y) \ z). K(x,y \ ((z \ y) * u)) = K(L(u \ z,y,u \ y),x). K(L(x \ y,z,x \ z),u) = K(u,z \ ((y \ z) * x)). K(x \ y,L(z,u,x \ u)) = K(z,u \ ((y \ u) * x)). (x * (y * K(z,u))) \ (x * (y * K(z,L(u,y,x)))) = w \ (w / a(x,y,K(z,L(u,y,x)))). a(x,y,K(((x \ 1) / z) * u,w)) = a(x,y,K(w,((x \ 1) / u) * z)). a(x,y,K(z * ((x \ 1) / u),w)) = a(x,y,K(w,((x \ 1) / z) * u)). a(x,y,K(z * ((x \ 1) / u),w)) = a(x,y,K(w,u * (z \ (x \ 1)))). a(x,y,K(z * (u \ (x \ 1)),w)) = a(x,y,K(w,u * (z \ (x \ 1)))). x * (a(y,z,z \ 1) \ u) = (u / a(y,z,z \ 1)) * T(x,u). (x / a(y,z,z \ 1)) * T(u,x) = u * (a(y,z,z \ 1) \ x). (a(x,y,y \ 1) \ z) * T(u,z) = u * (a(x,y,y \ 1) \ z). (x * (a(y,z,z \ 1) \ u)) \ ((a(y,z,z \ 1) \ u) * x) = K(u,x). K(a(x,y,y \ 1) \ z,u) = K(z,u). K(x,y \ a(z,u,u \ 1)) = K(y,x). K(x,L(y \ a(z,u,u \ 1),w,v5)) = K(y,L(x,w,v5)). K(x \ a(y,z,z \ 1),u \ w) = K(x,w \ u). K(x \ a(y,z,z \ 1),u \ w) != v5 | K(x,w \ u) = v5. K(x,y \ (a(z,u,u \ 1) * w)) = K(w \ y,L(x,y,w)). K(x \ y,L(z,y,x)) = K(z,y \ (a(u,w,w \ 1) * x)). K(x,y \ z) = K(x,y \ (a(u,w,w \ 1) * z)). K(x,y \ (a(z,u,u \ 1) * w)) = K(x,y \ w). K(x,(a(y,z,z \ 1) * u) \ w) = K(x \ a(v5,v6,v6 \ 1),w \ u). K(x \ a(y,z,z \ 1),u \ w) = K(x,(a(v5,v6,v6 \ 1) * w) \ u). K(x,L(y,z,a(u,w,w \ 1))) = K(y,(a(u,w,w \ 1) * (z * x)) \ z). K(x,(a(y,z,z \ 1) * (u * w)) \ u) = K(w,L(x,u,a(y,z,z \ 1))). K(x,L(y,z,z \ 1) \ (a(y,z,z \ 1) * u)) != w | K(u \ y,L(x,u,a(y,z,z \ 1))) = w. K(x \ y,L(z,x,a(y,u,u \ 1))) = K(z,L(y,u,u \ 1) \ x). K(x,y \ ((z * u) * (u \ 1))) = K(x,y \ (z * (u * (u \ 1)))). K(x,y \ L(z,u,u \ 1)) = K(x,y \ (z * (u * (u \ 1)))). K(x,y \ (z * (u * (u \ 1)))) = K(x,y \ L(z,u,u \ 1)). K(x,y \ z) = K(x,y \ L(z,u,u \ 1)). K(x,y \ L(z,u,u \ 1)) = K(x,y \ z). K(x,y \ L(z,u,u \ 1)) != w | K(y * (((z * u) \ 1) * u),x) = w. K(x * (((y * z) \ 1) * z),u) = K(u,x \ y). K(x,y \ (z * u)) = K(x,y \ ((z \ 1) \ u)). K(x,y \ ((z \ 1) \ u)) = K(x,y \ (z * u)). K(x * (y \ (z \ 1)),u) = K(u,x \ (y * z)). K(x * (y \ z),u) = K(u,x \ (y * (z \ 1))). K(x,y \ (z * (u \ 1))) = K(y * (z \ u),x). a(x,y,K(z,u \ (w * x))) = a(x,y,K(z,w * (u \ (x \ 1)))). a(x,y,K(z,u * (w \ (x \ 1)))) = a(x,y,K(z,w \ (u * x))). K(x,y \ (z * (u \ 1))) != w | K(y * ((z \ 1) * u),x) = w. K(x * ((y \ 1) * z),u) = K(x * (y \ z),u). K((x \ y) * z,u) = K(z * ((x \ 1) * y),u). K(x * ((y \ 1) * z),u) = K((y \ z) * x,u). K(x * (((y * z) \ 1) * z),u) != w | K(u,x \ y) = w. K(x,y \ z) = K(y * ((z * u) \ u),x). K(x * ((y * z) \ z),u) = K(u,x \ y). K(x * (((y \ 1) * z) * u),w) = K(x * (((z \ 1) * y) \ u),w). K(x * (((y \ 1) * z) \ u),w) = K(x * (((z \ 1) * y) * u),w). K(x * (((y \ 1) / z) * u),w) = K(x * (((z \ 1) \ y) \ u),w). K(x * (((y \ 1) \ z) \ u),w) = K(x * (((z \ 1) / y) * u),w). K(x * (y \ (z \ y)),u) = K(u,x \ z). K((((x \ 1) * y) * z) * (((y * z) \ 1) * x),u) != w | a(u,y,K(z,x)) = w. a(x,y,K(z,u)) = K(((y * z) \ u) * (((u \ 1) * y) * z),x). K(((x * y) \ z) * (((z \ 1) * x) * y),u) = a(u,x,K(y,z)). K(x * ((y \ 1) * z),u) != w | K(x * (y \ z),u) = w. K(x,y \ (z * (u \ 1))) != w | K(y * (z \ u),x) = w. K(x,(a(y,z,z \ 1) * u) \ w) != v5 | K(x,u \ w) = v5. K(x,(y * z) \ y) = K(z,L(x,y,a(u,w,w \ 1))). K(x,L(y,z,a(u,w,w \ 1))) = K(y,(z * x) \ z). K(x,L(y,z,a(u,w,w \ 1))) = K(y,z \ (z / x)). x != K(y,z \ (u / w)) | K(y,z \ (w \ u)) = x. K(x,y \ (z \ y)) = K(z,L(x,y,a(u,w,w \ 1))). K(x,L(y,z,a(u,w,w \ 1))) = K(y,z \ (x \ z)). K(x,L(y,z,a(u,w,w \ 1))) != v5 | K(x,y) = v5. K(x \ y,z) = K(z,L(y,u,u \ 1) \ x). K(x,L(y,z,z \ 1) \ u) = K(u \ y,x). K(x,y \ z) = K(x,L(y,u,u \ 1) \ z). K(x,L(y,z,z \ 1) \ u) = K(x,y \ u). K(x,((y \ 1) * z) \ u) = K(x,(y \ z) \ u). K(x,(y * z) \ u) = K(x,((y \ 1) \ z) \ u). K(x,((y \ 1) \ z) \ u) = K(x,(y * z) \ u). K(x,((y \ 1) * z) \ u) != w | K(x,u * ((z \ 1) * y)) = w. K(x,y * ((z \ 1) * u)) = K(x,(u \ z) \ y). K(x,y) != z | (u \ K(y,x)) \ (u \ 1) = z. (x \ K(y * ((z \ 1) * u),w)) \ (x \ 1) = K(w,(u \ z) \ y). K(x,y * (((z \ 1) / u) * w)) = K(x,(w \ ((u \ 1) \ z)) \ y). K(x,(y \ ((z \ 1) \ u)) \ w) = K(x,w * (((u \ 1) / z) * y)). K(x,(y \ z) \ u) != w | K(x,u * ((z \ 1) * y)) = w. (x \ K(y * (z \ u),w)) \ (x \ 1) = K(w,(u \ z) \ y). K(x,y * (z \ u)) = K(x,(u \ z) \ y). K(x,(y \ z) \ u) = K(x,u * (z \ y)). K(x,(y \ z) \ u) != w | K(x,u * (z \ y)) = w. K(x,y * ((z \ 1) * u)) = K(x,y * (z \ u)). K(x,((y \ 1) \ z) \ u) != w | K(x,(y * z) \ u) = w. K(x,(y * z) \ u) = K(x,u * (z \ (y \ 1))). K(x,y * (z \ (u \ 1))) = K(x,(u * z) \ y). K(x,y) * a(y,z,K(x,u * (w \ v5))) = K(x,L(y,z,(v5 \ w) \ u)). K(x,y * (z \ u)) * a(x,z,K(u,z \ y)) = K(x,z \ (u * y)). K(x,y * ((z \ 1) * ((u \ 1) \ w))) != v5 | K(x,((u \ (w \ 1)) * z) \ y) = v5. K(x,((y \ (z \ 1)) * u) \ w) = K(x,w * (u \ ((y \ 1) \ z))). K(x,y * (z \ ((u \ 1) \ w))) != v5 | K(x,(z * ((w \ 1) / u)) \ y) = v5. a(x,y,K(z,(x * u) \ w)) = a(x,y,K(z,u \ (w * x))). a(x,y,K(z,(x * u) \ w)) != v5 | a(x,y,K(z,u \ (x \ w))) = v5. a(x,y,K(z,u \ (x \ w))) = a(x,y,K(z,u \ (w * x))). x != K(y,z * ((u / w) * v5)) | K(y,z * ((w \ u) * v5)) = x. K(x,y * ((z \ (u \ 1)) * w)) = K(x,(w \ ((z \ 1) \ u)) \ y). K(x,(y \ ((z \ 1) \ u)) \ w) = K(x,w * ((z \ (u \ 1)) * y)). K(x,y * (((z \ 1) \ u) \ w)) = K(x,y * ((z \ (u \ 1)) * w)). K(x,L(y,z,(u \ w) \ v5)) != v6 | K(x,L(y,z,v5 * (w \ u))) = v6. (x \ y) * (a(x \ y,x,x \ 1) * R(a(x \ y,x,x \ 1) \ 1,z,u)) = a(y,x,x \ 1) * ((x \ y) * R(a(x \ y,x,x \ 1) \ 1,z,u)). K(x,y \ ((y / z) * (u * z))) = K(x,u) * a(T(u,z),z,K(x,z \ y)). K(L(x,y,z),L(u,w,y \ L(x,y,z))) = K(x,L(u,y,z)) * a(u,w,K(y,x)). a(x,x \ y,K(z,y \ (x * u))) = K(z,(x * u) \ y) * K(z,(x \ y) \ u). K(L(x,y,z),L(u,w,v5 \ L(x,y,z))) != v6 | K(x,L(L(u,w,v5 \ 1),y,z)) = v6. K(x,L(L(y,z,u \ 1),u,w)) = K(x,L(y,u,w)) * a(y,z,K(u,x)). K(x,L(y,z,u)) * a(y,w,K(z,x)) = K(x,L(L(y,w,z \ 1),z,u)). a(x,y,K(z,u)) * K(x,L(z,u,w)) = K(x,L(L(z,y,u \ 1),u,w)). a(x,y,K(y \ (z * u),z)) = K(x,(z * u) \ y) * K(x,(z \ y) \ u). K(x,(y * z) \ u) * K(x,(y \ u) \ z) = a(x,u,K(u \ (y * z),y)). x != a(y,z,K(u \ w,v5)) | a(y,z,K(v5,w \ u)) = x. a(x,y,K(z,(z * u) \ y)) = K(x,(z * u) \ y) * K(x,(z \ y) \ u). K(x,(y * z) \ u) * K(x,(y \ u) \ z) = a(x,u,K(y,(y * z) \ u)). K(x,(y * z) \ u) * K(x,(y \ u) \ z) = a(x,u,K(y,z \ u)). K(x,(y * z) \ u) * K(x,z * (u \ y)) = a(x,u,K(y,z \ u)). K(x,y * (z \ u)) * K(x,(u * y) \ z) = a(x,z,K(u,y \ z)). x != a(y,z,K(u,w \ z)) | a(y,w,K(u,w \ z)) = x. a(x,y,K(z,y \ u)) = K(x,y * (u \ z)) * K(x,(z * y) \ u). K(x,y * (z \ u)) * K(x,(u * y) \ z) = a(x,y,K(u,y \ z)). K(x,y * (z \ u)) * K(z \ (u * y),x) = a(x,y,K(u,y \ z)). K(x,y \ (z * u)) * a(x,u,K(z,u \ y)) = K(x,u * (y \ z)). K(x,y \ (z * u)) * a(x,u,K(z,u \ y)) != w | w = K(x,u * (y \ z)). K(x,y \ (z * u)) * a(x,u,K(z,u \ y)) != w | K(x,u * (y \ z)) = w. K(x,R(T(y,z * u),z,u)) * a(x,u,K(y * z,u \ (z * u))) = K(x,u * ((z * u) \ (y * z))). K(x,y \ (z * u)) * a((z * u) \ y,u,K(x,z)) = K(x,u * (y \ z)). K(x,((y \ 1) \ z) \ (u * w)) * a(x,w,K(u,w \ (y * z))) = K(x,w * (((y \ 1) \ z) \ u)). K(x,y \ (z * u)) * a(z \ 1,u,K(x,(z * u) \ y)) = K(x,u * (y \ z)). K((x * y) \ z,u) * a(x \ 1,y,K(u,(x * y) \ z)) = K(u,y * (z \ x)). K((x * y) \ z,L(u,y,x \ 1)) = K(u,y * (z \ x)). K(x \ y,L(z,u,(x / u) \ 1)) = K(z,u * (y \ (x / u))). K(x,L(y,z,(u / w) \ 1)) != v5 | K(x,L(y,z,u \ w)) = v5. K(x \ y,L(z,u,x \ u)) = K(z,u * (y \ (x / u))). K(x \ y,L(z,u,x \ u)) != w | K(z,u \ ((y \ u) * x)) = w. K(x,y \ ((z \ y) * u)) = K(x,y * (z \ (u / y))). x != K(y,z * (u \ (w / v5))) | K(y,z * (u \ (v5 \ w))) = x. K(x,y * (z \ (y \ u))) = K(x,y \ ((z \ y) * u)). K(x,y \ ((z \ y) * u)) = K(x,y * (z \ (y \ u))). K(x,y \ ((z \ y) * u)) != w | K(u \ z,L(x,u,z \ y)) = w. K(x \ y,L(z,x,y \ u)) = K(z,u * (y \ (u \ x))). a(x,y,K(z \ u,L(w,z,u \ x))) = a(x,y,K(w,u \ (x \ z))). a(x,y,K(z,u \ w)) = a(x,y,K(z,u \ (x \ w))). a(x,y,K(z,u \ (x \ w))) = a(x,y,K(z,u \ w)). a(x,y,K(z,u \ (x \ w))) != v5 | a(x,y,K(z,u \ (w * x))) = v5. a(x,y,K(z,u \ (w * x))) = a(x,y,K(z,u \ w)). K(L(x,y,z),(z \ y) \ (u * w)) != v5 | K(x,y \ (z * ((u \ 1) \ w))) = v5. K(x,y \ (z * ((u \ 1) \ w))) = K(L(x,y,z),(u * w) * (y \ z)). K(L(x,y,z),(u * w) * (y \ z)) = K(x,y \ (z * ((u \ 1) \ w))). K(x,L((y * z) * (u \ w),u,w)) = K(x,u \ (w * ((y \ 1) \ z))). K(x,L(y * (z \ u),z,u)) = K(x,z \ (u * y)). K(x,L((y * z) * (u \ w),u,w)) != v5 | K(x,u \ (w * ((y \ 1) \ z))) = v5. K(x,y \ (z * ((u \ 1) \ w))) = K(x,y \ (z * (u * w))). K(x,y \ (z * ((u / w) \ 1))) = K(x,y \ (z * (w * (u \ 1)))). K(x,a(y,z \ 1,(z \ 1) \ u)) = K(x,(y * u) \ ((y * (z \ 1)) * (z * u))). K(x,(y * z) \ ((y * (u \ 1)) * (u * z))) = K(x,a(y,u \ 1,(u \ 1) \ z)). K(x,y \ (((z \ 1) \ u) * (w \ 1))) = K(x,y \ ((w \ K(w,(z \ 1) \ u)) * (z * u))). K(x,y \ ((z \ K(z,(u \ 1) \ w)) * (u * w))) = K(x,y \ (((u \ 1) \ w) * (z \ 1))). K(x * (y \ (z / u)),w) = K(w,x \ (y * (u * (z \ 1)))). K(x,y \ (z * (u * (w \ 1)))) = K(y * (z \ (w / u)),x). x != K(y * (z \ (u / w)),v5) | K(y * (z \ (w \ u)),v5) = x. K(x * (y \ (z \ u)),w) = K(w,x \ (y * (z * (u \ 1)))). K(x,y \ (z * (u * (w \ 1)))) = K(y * (z \ (u \ w)),x). K(x,y \ ((z * (u \ 1)) * w)) = K(y * (w \ (z \ u)),x). x != K(y,a(z,u,w)) | a(y,u,K(w,z)) = x. a(x,y \ 1,K((y \ 1) \ z,u)) = K(x,(u * z) \ ((u * (y \ 1)) * (y * z))). K(x,(y * z) \ ((y * (u \ 1)) * (u * z))) = a(x,u \ 1,K((u \ 1) \ z,y)). K(x,(y * z) \ ((y * (u \ 1)) * (u * z))) = a(x,u \ 1,K(u * z,y)). 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) * z) * u) * K(w,L(v5,u,z)) = (K(x,y) * z) * (u * K(w,v5)). x != K(y,z \ (u * (w \ 1))) | K(z * (u \ w),y) = x. K(x * (((y \ 1) \ z) \ u),w) = K(w,x \ ((u \ K(u,(y \ 1) \ z)) * (y * z))). K(x,y \ ((z \ K(z,(u \ 1) \ w)) * (u * w))) = K(y * (((u \ 1) \ w) \ z),x). x != K(y * (((z \ 1) \ u) \ w),v5) | K(y * (((u \ 1) / z) * w),v5) = x. K(x * (((y \ 1) / z) * u),w) = K(w,x \ ((u \ K(u,(z \ 1) \ y)) * (z * y))). K(x,y \ ((z \ K(z,(u \ 1) \ w)) * (u * w))) = K(y * (((w \ 1) / u) * z),x). K(x,y \ ((z \ K(z,u * w)) * (u * w))) = K(y * (((w \ 1) / u) * z),x). K(x,y \ ((z * u) * (w \ 1))) = K(y * (((u \ 1) / z) * w),x). K(x * (((y \ 1) / z) * u),w) = K(w,x \ ((z * y) * (u \ 1))). K(x * ((y * z) \ u),w) = K(x * (((z \ 1) / y) * u),w). K(x * (((y \ 1) / z) * u),w) = K(x * ((z * y) \ u),w). K(x * (((y \ 1) / (z \ 1)) * u),w) = K(x * ((((y \ 1) * z) \ 1) \ u),w). K(x * ((((y \ 1) * z) \ 1) \ u),w) = K(x * (((y \ 1) / (z \ 1)) * u),w). K(x * ((((y \ 1) \ 1) / T(z,y)) * u),w) = K(x * (((y \ 1) * z) \ u),w). K((((x \ 1) / y) * z) * (u \ 1),w) = K((u \ K(u,((x \ 1) / y) * z)) * ((y * x) \ z),w). K((x \ K(x,((y \ 1) / z) * u)) * ((z * y) \ u),w) = K((((y \ 1) / z) * u) * (x \ 1),w). K(x * ((((y \ 1) * z) \ 1) \ u),w) = K(x * (((z \ y) \ 1) * u),w). x != K(y * ((z \ 1) * u),w) | K(y * (z \ u),w) = x. K(x * ((y \ z) \ u),w) = K(x * ((((z \ 1) * y) \ 1) \ u),w). K(x * ((((y \ 1) * z) \ 1) \ u),w) = K(x * ((z \ y) \ u),w). K(x * (((y \ 1) * z) \ u),w) = K(x * ((y \ z) \ u),w). K(x * ((y / T(z,y)) * u),w) = K(x * (((y \ 1) * z) \ u),w). K(x * (((y \ 1) * z) \ u),w) = K(x * ((y / T(z,y)) * u),w). K(x * (((y \ 1) * z) \ u),w) = K(x * ((z \ y) * u),w). K(x * (((y \ 1) * z) \ u),w) != v5 | K(x * ((y \ z) \ u),w) = v5. K(x * ((y \ z) \ u),w) = K(x * ((z \ y) * u),w). K(x * (((y \ 1) * z) \ u),w) != v5 | K(x * (((z \ 1) * y) * u),w) = v5. K(x * (((y \ 1) * z) * u),w) = K(x * ((y \ z) * u),w). K(x * (y \ z),u) = K(x * ((w \ (w / y)) * z),u). K(x * ((y \ (y / z)) * u),w) = K(x * (z \ u),w). K(((x * y) \ z) * (((z \ 1) * x) * y),u) != w | a(u,x,K(y,z)) = w. a(x,y,K(z,u)) = K(((y * z) \ u) * ((u \ y) * z),x). K(((x * y) \ z) * ((z \ x) * y),u) = a(u,x,K(y,z)). K(((x \ y) * z) * ((y * z) \ x),u) = a(u,y,K(z,x)). K((((x * (y * z)) \ x) * y) * L(z,y,x),u) = a(u,x,K(y,x * (y * z))). K((x * y) * ((z * y) \ (z / x)),u) = a(u,z,K(y,z / x)). K(x * (y \ (z / u)),w) != v5 | K(x * (y \ (u \ z)),w) = v5. K((x * y) * ((z * y) \ (x \ z)),u) = a(u,z,K(y,z / x)). K(((x \ (x / (y * z))) * y) * L(z,y,x),u) = a(u,x,K(y,x * (y * z))). K(L(x,y,z) * ((z \ (z / (y * x))) * y),u) = a(u,z,K(y,z * (y * x))). K(x * ((y \ (y / z)) * u),w) != v5 | K(x * (z \ u),w) = v5. K(L(x,y,z) * ((y * x) \ y),u) = a(u,z,K(y,z * (y * x))). K(L(x,y,z) * (y \ (y / x)),u) = a(u,z,K(y,z * (y * x))). K(L(x,y,z) * (y \ (x \ y)),u) = a(u,z,K(y,z * (y * x))). K(x * (y \ (z \ y)),u) != w | K(u,x \ z) = w. K(x,L(y,z,u) \ y) = a(x,u,K(z,u * (z * y))). a(x,y,K(z,u)) = a(x,u,K(y,u * (y * z))). a(x,y,K(z,y * (z * u))) = a(x,z,K(u,y)). a(x,y,K(z,y * u)) = a(x,z,K(u,y)). (x * (y * K(z,u))) \ (x * (y * K(z,L(u,y,x)))) = w \ (w / a(x,y,K(z,u))). (x * (y * K(z,u))) \ (x * (y * K(z,L(u,y,x)))) = w \ (w * a(u,y,K(z,x))). (x * (y * K(z,u))) \ (x * (y * K(z,L(u,y,x)))) != w | w = a(u,y,K(z,x)). (x * (y * K(z,u))) \ (x * (y * K(z,L(u,y,x)))) != w | a(u,y,K(z,x)) = w. x != K(y * (z \ 1),u) | K(u,y \ z) = x. K(x,(((y \ 1) / z) * u) \ w) = K((w \ K(w,((y \ 1) / z) * u)) * ((z * y) \ u),x). K((x \ K(x,((y \ 1) / z) * u)) * ((z * y) \ u),w) = K(w,(((y \ 1) / z) * u) \ x). x != K(y,((z / u) * w) \ v5) | K(y,((u \ z) * w) \ v5) = x. K(x,((y \ (z \ 1)) * u) \ w) = K((w \ K(w,((z \ 1) / y) * u)) * ((y * z) \ u),x). K((x \ K(x,((y \ 1) / z) * u)) * ((z * y) \ u),w) = K(w,((z \ (y \ 1)) * u) \ x). x != K(y,((z \ (u \ 1)) * w) \ v5) | K(y,v5 * (w \ ((z \ 1) \ u))) = x. K(x,y * (z \ ((u \ 1) \ w))) = K((y \ K(y,((w \ 1) / u) * z)) * ((u * w) \ z),x). K((x \ K(x,((y \ 1) / z) * u)) * ((z * y) \ u),w) = K(w,x * (u \ ((z \ 1) \ y))). K((x \ K(x,y * (z \ (u \ 1)))) * ((z * u) \ y),w) = K(w,x * (y \ ((z \ 1) \ u))). K((x \ K(x,(y * z) \ u)) * ((z * y) \ u),w) = K(w,x * (u \ ((z \ 1) \ y))). K(((x * y) \ z) * (u \ K(u,(y * x) \ z)),w) = K(w,u * (z \ ((x \ 1) \ y))). K(x,(y * z) \ (u * w)) * a(x,w,K(u,w \ (y * z))) = K(x,w * (((y \ 1) \ z) \ u)). K(x,y * ((z * u) \ w)) = K(x,y * (((z \ 1) \ u) \ w)). K(x,y * (((z \ 1) \ u) \ w)) = K(x,y * ((z * u) \ w)). K(x,y * (((z \ 1) \ u) \ w)) != v5 | K(x,y * ((z \ (u \ 1)) * w)) = v5. K(x,y * ((z \ (u \ 1)) * w)) = K(x,y * ((z * u) \ w)). K(x,L(T(y,z * u),z,u)) * a(x,u,K(y * z,u \ (z * u))) = K(x,u * ((z * u) \ (y * z))). K(x,L(y,z,u)) * a(x,u,K(y * z,u \ (z * u))) = K(x,u * ((z * u) \ (y * z))). K(x,L(y,z,u)) * a(x,u,K(y * z,T(z,u))) = K(x,u * ((z * u) \ (y * z))). K(x,L(y,z,u)) * a(x,u,K(y * z,z)) = K(x,u * ((z * u) \ (y * z))). K(x,L(y,z,u)) * a(x,u,K(y,z)) = K(x,u * ((z * u) \ (y * z))). K(x,y * ((z * y) \ (u * z))) != w | a(x,y,K(u,z)) * K(x,L(u,z,y)) = w. L(a(x,K(y,z),u),x * (K(y,z) * u),K(z,(x * (y \ u)) \ (x * u))) = (x * u) \ (K(z,(x * u) / (x * (y \ u))) * ((x * K(y,z)) * u)). L(a(x,K(y,z),u),x * (K(y,z) * u),K(L(z,u,x),T(y,w))) = (x * u) \ (K(z,(x * u) / (x * (y \ u))) * ((x * K(y,z)) * u)). L(a(x,K(y,z),u),x * (K(y,z) * u),K(L(z,u,x),y)) = (x * u) \ (K(z,(x * u) / (x * (y \ u))) * ((x * K(y,z)) * u)). L(a(x,K(y,z),u),x * (K(y,z) * u),K(z,L(y,u,x))) = (x * u) \ (K(z,(x * u) / (x * (y \ u))) * ((x * K(y,z)) * u)). x != y | y / 1 = x. ((x * y) \ (K(z,(x * y) / (x * (u \ y))) * ((x * K(u,z)) * y))) / 1 = L(a(x,K(u,z),y),x * (K(u,z) * y),K(z,L(u,y,x))). L(a(x,K(y,z),u),x * (K(y,z) * u),K(z,L(y,u,x))) = ((x * u) \ (K(z,(x * u) / (x * (y \ u))) * ((x * K(y,z)) * u))) / 1. x * y != L(a(z,K(u,w),v5),z * (K(u,w) * v5),K(w,L(u,v5,z))) | ((z * v5) \ (K(w,(z * v5) / (z * (u \ v5))) * ((z * K(u,w)) * v5))) / y = x. ((x * y) \ (K(z,(x * y) / (x * (u \ y))) * ((x * K(u,z)) * y))) / a(z,x * (K(u,z) * y),K(L(u,y,x),a(x,K(u,z),y))) = a(x,K(u,z),y). L(a(x,K(y,z),u),x * (K(y,z) * u),K(z,L(y,u,x))) = (x * u) \ (((x * K(y,z)) * u) * K(z,T((x * u) / (x * (y \ u)),w))). ((x * y) * z) / ((y * z) * T(x,y * z)) = ((x * y) * (y \ ((x * y) * z))) / (((x * y) * z) * T(x,y * z)). ((x * y) * (y \ ((x * y) * z))) / (((x * y) * z) * T(x,y * z)) = ((x * y) * z) / ((y * z) * T(x,y * z)). ((x * y) * (y \ ((x * y) * z))) / (((x * y) * z) * T(x,y * z)) = ((x * y) * z) / (x * (y * z)). x != ((y * z) * u) / (y * (z * u)) | a(y,z,u) = x. a(x,y,z) = ((x * y) * (y \ ((x * y) * z))) / (((x * y) * z) * T(x,y * z)). a(x,y,z) = ((x * y) * (y \ ((x * y) * z))) / (x * ((x * y) * z)). x != ((y * z) * (z \ u)) / (y * u) | a(y,z,z \ u) = x. a(x,y,y \ ((x * y) * z)) = a(x,y,z). a(x,y,x * y) = a(x,y,y). a(x,y,y \ z) = a(x,y,(x * y) \ z). a(x,y,(x * y) \ z) = a(x,y,y \ z). a(T(x,y \ 1),y,y \ ((y * x) * z)) = a(T(x,y \ 1),y,z). a(x,y,y \ (y * (T(x,y) * z))) = a(x,y,L(z,x,y)). a(x,x \ y,y) = a(x,x \ y,x \ y). a(x,x \ y,x \ y) = a(x,x \ y,y). a(x,y,(x * y) \ z) != u | (y * ((x * y) \ z)) \ (x \ z) = u. (x * ((y * x) \ z)) \ (y \ z) = a(y,x,x \ z). a(x,y,L(y \ z,y,x)) = a(x,y,y \ (x * z)). (x * ((y * x) \ (z * x))) \ (y \ (z * x)) != u | a(z,x,R(z / y,y,x)) = u. a(x,y,R(x / z,z,y)) = a(z,y,y \ (x * y)). a(x,T(y,z),L(T(y,z) \ (y * z),T(y,z),x)) = a(x,T(y,z),y \ (x * (z * y))). a(x,y,R(x / z,z,y)) = a(z,y,T(x,y)). a(x,y,(z * y) \ (x * y)) = a(z,y,T(x,y)). x != a(y,z,T(u,z)) | a(y,z,u) = x. a(x,y,z) = a(z,y,(x * y) \ (z * y)). a(x,y,(z * y) \ (x * y)) = a(z,y,x). a(x,y,z \ (x * y)) = a(z / y,y,x). x != a(y / z,z,u) | a(z \ y,z,u) = x. a(x \ y,x,z) = a(z,x,y \ (z * x)). a(x,y,z \ (x * y)) = a(y \ z,y,x). a(x,y,z * K(x,y)) = a(y \ ((y * x) / z),y,x). a(x \ ((x * y) / z),x,y) = a(y,x,z * K(y,x)). x != a(y,z,u * K(y,z)) | a(y,z,u) = x. a(x,y,z) = a(y \ ((y * x) / z),y,x). a(x \ ((x * y) / z),x,y) = a(y,x,z). a(x \ (y \ (x * z)),x,z) = a(z,x,y). x * R(x \ 1,y,z) = a(z,y,x). a(x,y,z) = z * R(z \ 1,y,x). a(x \ ((y / (y * z)) \ (x * u)),x,u) != w | y / ((y / R(z,x,u)) * z) = w. x / ((x / R(y,z,u)) * y) = a(u,z,x / (x * y)). a(x \ (y \ z),x,x \ z) = a(x \ z,x,y). x != R(y,z,u) * R(R(y,z,u) \ 1,w,v5) | R(y * R(y \ 1,w,v5),z,u) = x. R(x * R(x \ 1,y,z),u,w) = a(z,y,R(x,u,w)). L(x * R(x \ 1,y,z),u,w) = a(z,y,L(x,u,w)). x \ R(x,y,z) = a(z,y,x \ 1). a(x,y,z \ 1) = z \ R(z,y,x). a(x,y,y) = y * L(y \ 1,y,x). x * L(x \ 1,x,y) = a(y,x,x). a(x,y,z \ 1) != u | z \ R(z,y,x) = u. a(x,a(y,z,u),u) = a(x,u,u * R(u \ 1,z,y)). a(x,y,y * R(y \ 1,z,u)) = a(x,a(u,z,y),y). x \ a(y,x,x) = L(x \ 1,x,y). L(x \ 1,x,y) = x \ a(y,x,x). x * L(x \ 1,x,y) != z | a(x,x \ 1,y) = z. a(x,x \ 1,y) = a(y,x,x). (x \ y) * (y \ x) = a(x,x \ y,x \ y). a(x,x \ y,x \ y) = (x \ y) * (y \ x). R(x,y,a(z,x,x)) = x. R(a(x,y,y),z,u) * (y * w) = y * (R(y * L(y \ 1,y,x),z,u) * w). x * (R(x * L(x \ 1,x,y),z,u) * w) = R(a(y,x,x),z,u) * (x * w). a(x,x \ 1,y) = a(L(y,z,y * T(x,u)),x,x). a(L(x,y,x * T(z,u)),z,z) = a(z,z \ 1,x). a(x \ 1,x,y) = a(y,x,x). a(x \ 1,y,y \ 1) = a(x,y,y). a(x,y,y \ 1) = a(x \ 1,y,y). a(x \ 1,y,y) = a(x,y,y \ 1). x != y | y * 1 = x. a(x,y,y) * 1 = a(y,y \ 1,x). a(x,x \ 1,y) = a(y,x,x) * 1. a(x,x \ 1,y) != z | ((x \ 1) * y) \ (x \ y) = z. ((x \ 1) * y) \ (x \ y) = a(y,x,x). a(x,x \ 1,y) != z | a(y \ x,x,x \ 1) = z. a(x \ y,y,y \ 1) = a(x,y,y). a(x,x \ 1,y) != z | a(y,x,x \ 1) \ 1 = z. a(x,y,y \ 1) \ 1 = a(x,y,y). a(x,x \ 1,R(y / z,u,w)) != v5 | a(x,x \ 1,R(z \ y,u,w)) = v5. a(x,x \ 1,R(y \ z,u,w)) = a(R(z / y,u,w),x,x). a(x,x \ 1,x * y) != z | a(x,x \ 1,y) = z. a(x,x \ 1,y) = a(x * y,x,x). a(x * y,x,x) = a(x,x \ 1,y). a(x,x \ 1,y \ K(x,z)) != u | a(y,x,x \ 1) = u. a(x,y,y \ 1) = a(x \ K(y,z),y,y). a(x \ K(y,z),y,y) = a(x,y,y \ 1). x * y != a(z,z \ 1,u) | x \ a(u,z,z) = y. (x \ y) \ a(y,x,x) = (y \ 1) * x. a(x,y,y) \ 1 = a(x,y,y \ 1). a(x,y,y \ 1) = a(x,y,y) \ 1. a(x \ 1,y,y) != z | a(x,y,y \ 1) = z. x * a(x,y,y) = y \ ((y \ 1) \ x). x \ ((x \ 1) \ y) = y * a(y,x,x). a(x,x \ 1,L(y,z,u)) = L(a(y,x,x),z,u). a(x,x \ 1,R(y,z,u)) = R(a(y,x,x),z,u). a(x,y,y) \ y = L(y,y \ 1,x \ 1). L(x,x \ 1,y \ 1) = a(y,x,x) \ x. a(x,x \ 1,y) != z | z = a(y,x,x). a(x,x \ 1,y) != z | a(y,x,x) = z. a(x,y,y) \ y = L(y,y \ 1,x \ y). L(x,x \ 1,y \ x) = a(y,x,x) \ x. x != a(y,y \ 1,z) | a(z,y,y) = x. a(x,y,y) = a(y * x,y,y). a(x * y,x,x) = a(y,x,x). x \ y != a(z,z \ 1,u) | x * a(z * u,z,z) = y. (x * y) * a(x * y,x,x) = (x \ 1) \ y. a(x,y,y) = a(y \ x,y,y). a(x \ y,x,x) = a(y,x,x). a(x,y,y \ 1) != z \ 1 | a(x,y,y) = z. a(x,y,y \ 1) != z | a(x \ 1,y,y) = z. a(x \ 1,y,y \ 1) != z | a(x,y,y) = z. a(x \ (y \ 1),y,y \ 1) != z | a(x,y,y) = z. R(a(x,y,y \ 1),z,u) != w | a(R(x \ 1,z,u),y,y) = w. a(x * y,x,x) != z | a(y,x,x) = z. L(L(x,x \ 1,y \ 1),a(y,x,x),z) = (z * a(y,x,x)) \ (z * x). x * y != a(z,z \ u,z \ u) | x \ a(z,z \ u,u) = y. (x \ y) \ a(x,x \ y,y) = y \ x. a(L(x,y,z),u,u) = L(a(x,u,u),y,z). L(a(x,y,y),z,u) != w | a(L(x,z,u),y,y) = w. x \ y != L(a(z,u,u),w,v5) | x * a(L(z,w,v5),u,u) = y. (x * y) * a(L(z,y,x),u,u) = x * (y * a(z,u,u)). a(R(x,y,z),u,u) = R(a(x,u,u),y,z). a(x,y,y) = a(L(x,z,x * T(y,u)),y,y). a(L(x,y,x * T(z,u)),z,z) = a(x,z,z). a(L(x,y,x * z),z,z) = a(x,z,z). a(L(x,y,z),u,u) != w | L(a(x,u,u),y,z) = w. L(a(x,y,y),z,x * y) = a(x,y,y). L(x,x,y) \ x = a(y,x,x). x \ y != a(z,u,y) | a(z,u,y) \ y = x. a(x,y,y) \ y = L(y,y,x). x / y != L(z,z,u) \ z | a(u,z,z) * y = x. a(x,y,y) * L(y,y,x) = y. a(x,y,y) \ y != z | L(y,y \ 1,x \ y) = z. L(x,x \ 1,y \ x) = L(x,x,y). a(x,y,y) \ y != z | L(y,y \ 1,x \ 1) = z. L(x,x \ 1,y \ 1) = L(x,x,y). L(x,x,y) != z \ x | a(y,x,x) = z. L(L(x,x,y),a(y,x,x),z) = (z * a(y,x,x)) \ (z * x). (((x * y) / (x * a(z,y,y))) * x) * a(z,y,y) = x * (a(z,y,y) * R(L(y,y,z),x,a(z,y,y))). L(x,x \ 1,y \ 1) != z | (x \ 1) \ a(y,x,x \ 1) = z. (x \ 1) \ a(y,x,x \ 1) = L(x,x,y). L(x,(y \ 1) \ 1,z) != u | L(x,y,z) = u. L(x \ 1,x,y \ 1) = L(x \ 1,x \ 1,y). L(x \ 1,x \ 1,y) = L(x \ 1,x,y \ 1). L(x,y,(z \ 1) \ 1) != u | L(x,y,z) = u. L(x,x \ 1,y) = L(x,x,y \ 1). L(x,x,y) \ 1 = L(x \ 1,x,y). L(x \ 1,x,y) = L(x,x,y) \ 1. L(x \ 1,x,y) * R(L(x,x,y),z,u) = L((x \ 1) * R((x \ 1) \ 1,z,u),x,y). L((x \ 1) * R((x \ 1) \ 1,y,z),x,u) = L(x \ 1,x,u) * R(L(x,x,u),y,z). R(x,x \ 1,y) = L(x,x,y \ 1). L(x,x,y \ 1) \ y = (x \ 1) * y. L(x \ 1,x,y) = L(x,x \ 1,y \ x) \ 1. L(x,x \ 1,y \ x) \ 1 = L(x \ 1,x,y). (x \ 1) \ a(y,x,x) = L(x,x,y \ x). x \ a(y,x \ 1,x \ 1) = L(x \ 1,x \ 1,y \ (x \ 1)). L(x \ 1,x \ 1,y \ (x \ 1)) = x \ a(y,x \ 1,x \ 1). L(x,x \ 1,y) \ 1 != z | L(x \ 1,x,y \ 1) = z. L(x \ 1,x,(y \ x) \ 1) = L(x \ 1,x,y). x / ((x / R(y,x,z)) * y) != u | x \ ((x / y) * R(y,x,z)) = u. x \ ((x / y) * R(y,x,z)) = a(z,x,x / (x * y)). R(a(x,y,z),u,w) = a(x,y,R(z,u,w)). a(x,y,R(z,u,w)) = R(a(x,y,z),u,w). L(a(x,y,z),u,w) = a(x,y,L(z,u,w)). a(x,y,L(z,u,w)) = L(a(x,y,z),u,w). (x * a(x,y,L(z,u,x))) * u = x * (R(a(x,y,z),x,u) * u). a(x,y,a(z,u,y)) = a(x,a(z,u,y),y). a(x,a(y,z,u),u) = a(x,u,a(y,z,u)). x != a(y,z,z / u) | a(y,z,u \ z) = x. a(x,y,(y * z) \ y) = y \ ((y / z) * R(z,y,x)). x \ ((x / y) * R(y,x,z)) = a(z,x,(x * y) \ x). a(R(x,y,z),y,z) = a(z,y,(y * x) \ y). a(R(x,y,z),y,z) = a(z,y,y \ (y / x)). x != a(y,z,z \ (z / u)) | a(y,z,z \ (u \ z)) = x. a(x,y,y \ (z \ y)) = a(R(z,y,x),y,x). a(R(x,y,z),y,z) = a(z,y,y \ (x \ y)). a(x,y,T(x,y) * z) = a(x,y,L(z,x,y)). a(x,y,x * z) = a(x,y,L(z,x,y)). a(x,y,L(z,x,y)) = a(x,y,x * z). a(x,y,L(z,x,y)) != u | a(x,y,x * z) = u. a(x,T(y,L(z,x,y)),L(z,x,y)) = a(x,y,x * z). a(x,y,L(L(z,x,y),u,w)) = a(x,y,x * L(z,u,w)). a(x,y,(z * x) \ (x * y)) = a(x,y,x * (x \ (z \ (x * y)))). a(x,y,x * (x \ (z \ (x * y)))) = a(x,y,(z * x) \ (x * y)). a(T(x,y),z,L(u,x,z)) = T(a(x,z,x * u),y). a(x,T(y,z),L(z,x,y)) != u | a(x,T(y,z),x * z) = u. x != T(a(y,z,u),w) | a(T(y,w),z,u) = x. a(T(x,y),z,x * u) = a(T(x,y),z,L(u,x,z)). a(T(x,y),z,L(u,x,z)) = a(T(x,y),z,x * u). a(x,T(y,z),L(z,x,y)) = a(x,y,x * z). a(x,y,L(z,u,w)) != v5 | L(a(x,y,z),u,w) = v5. L(a(x,y,L(z,x,y)),u,w) = a(x,y,x * L(z,u,w)). L(a(x,y,x * z),u,w) = a(x,y,x * L(z,u,w)). a(x,y,x * L(z,u,w)) = L(a(x,y,x * z),u,w). x != L(a(y,z,u),w,v5) | a(y,z,L(u,w,v5)) = x. a(x,y,L(x * z,u,w)) = a(x,y,x * L(z,u,w)). a(x,y,L(x * (z \ 1),z,u)) = a(x,y,x * (z \ a(u,z,z))). a(x,y,L(x * L(z,u,w),v5,v6)) = L(a(x,y,L(x * z,u,w)),v5,v6). a(R(x / y,z,u),w,w) != v5 | a(R(y \ x,z,u),w,w) = v5. L(L(x,a(y,x,x),z),x,y) = (z * a(y,x,x)) \ (z * x). a(x,T(y,z),x * z) = a(x,y,x * z). K(x * a(y,z,z),x * z) * L(L(z,a(y,z,z),x),z,y) = (x * z) / (x * a(y,z,z)). a(x,y,y \ ((y * x) * z)) = a(T(x,y \ 1),y,z). x != a(T(y,z \ 1),z,u) | a(y,z,u) = x. a(x,y,z) = a(x,y,y \ ((y * x) * z)). a(x,y,y \ ((y * x) * z)) = a(x,y,z). a(x,y,y \ ((y * x) * z)) != u | a(x,y,z) = u. a(x,y,y \ z) != u | a(x,y,y \ (z * x)) = u. a(x,y,y \ (((y * x) * z) * x)) = a(x,y,z). a(x,y,y \ z) = a(x,y,(y * x) \ z). a(x,y,(y * x) \ z) = a(x,y,y \ z). a(x \ y,x,y \ z) = a(x \ y,x,x \ z). x != a(y,z,u \ 1) | u \ R(u,z,y) = x. x \ R(x,y,z) = a(z,y,y \ (((y * z) * (x \ 1)) * z)). a(x,y,y \ (((y * x) * (z \ 1)) * x)) = z \ R(z,y,x). x != a(y,z,u) | u * R(u \ 1,z,y) = x. x * R(x \ 1,y,z) = a(z,y,y \ (((y * z) * x) * z)). a(x,y,y \ (((y * x) * z) * x)) = z * R(z \ 1,y,x). a(x \ (y \ z),x,(y \ z) \ z) != u | a(x \ (y \ z),x,y) = u. a(x \ (y \ z),x,y) = a(x \ (y \ z),x,x \ z). a(x \ (y \ z),x,x \ z) = a(x \ (y \ z),x,y). a(x,y,y \ (((y * x) * z) * x)) != u | a(x,y,z) = u. a(x \ (y \ z),x,x \ z) != u | a(x \ z,x,y) = u. a(x \ y,x,z) = a(x \ (z \ y),x,z). a(x \ (y \ z),x,y) = a(x \ z,x,y). a(x \ T(y,z),x,z) = a(x \ (y * z),x,z). a(x,x \ R(x,y,z),x \ (((x * (x \ R(x,y,z))) * (u \ 1)) * (x \ R(x,y,z)))) = u \ R(u,x,x \ R(x,y,z)). L(x \ R(x,y,y \ R(y,z,u)),x,R(y,z,u)) = a(x,y,a(u,z,z \ (((z * u) * (y \ 1)) * u))). a(x \ (y \ R(x,z,u)),x,a(u,z,z \ (((z * u) * (x \ 1)) * u))) = a(x \ R(x,z,u),x,y). x != T(y,z) * R(T(y,z) \ 1,u,w) | T(y * R(y \ 1,u,w),z) = x. T(x * R(x \ 1,y,z),u) = a(z,y,y \ (((y * z) * T(x,u)) * z)). (x * a(x,y,L(z,u,x))) * u = x * (a(x,y,R(z,x,u)) * u). x != a(y,z,u \ (y * z)) | a(z \ u,z,y) = x. a(x \ (y * z),x,z) = a(z,x,z * (z \ (y \ (z * x)))). a(x,y,x * (x \ (z \ (x * y)))) = a(y \ (z * x),y,x). x != a(y \ (z * u),y,u) | a(y \ T(z,u),y,u) = x. a(x \ T(y,z),x,z) = a(z,x,z * (z \ (y \ (z * x)))). a(x,y,x * (x \ (z \ (x * y)))) = a(y \ T(z,x),y,x). a(x,y,z \ (x * y)) = a(y \ T(z,x),y,x). a(x \ T(y,z),x,z) = a(z,x,y \ (z * x)). a(x \ y,x,z) = a(x \ T(y,z),x,z). a(x \ T(y,z),x,z) = a(x \ y,x,z). a(x \ T(y,z),x,z) != u | a(x \ (y * z),x,z) = u. a(x \ (y * z),x,z) = a(x \ y,x,z). a(x \ ((x * y) * z),x,z) != u | a(R(y,x,z),x,z) = u. a(R(x,y,z),y,z) = a(y \ (y * x),y,z). a(R(x,y,z),y,z) = a(x,y,z). a(R(x,y,z),y,z) != u | a(z,y,y \ (x \ y)) = u. a(x,y,y \ (z \ y)) = a(z,y,x). a(x,y,L(z \ 1,z,y)) = a(z,y,x). a(x,y,y \ 1) = a(y,y,x). a(x,y,y) = a(y,y,x \ (y \ 1)). a(x,x,y \ (x \ 1)) = a(y,x,x). a(x,y,y) = a(y,y,x \ 1). a(x,x,y \ 1) = a(y,x,x). a(x \ 1,y,y) = a(y,y,x). x \ L(x,y,y \ 1) = a(y,y,x). x * y != a(z,z,u) | x \ a(u,z,z \ 1) = y. 1 \ a(x,y,y \ 1) = a(y,y,x). a(x * y,z,z \ 1) != u | a(y * x,z,z \ 1) = u. a(x * y,z,z \ 1) = a(z,z,y * x). a(R(x / y,z,u),w,w \ 1) != v5 | a(R(y \ x,z,u),w,w \ 1) = v5. a(R(x \ y,z,u),w,w \ 1) = a(w,w,R(y / x,z,u)). a(x,y,y \ 1) = a(T(y,z),T(y,z),x). a(T(x,y),T(x,y),z) = a(z,x,x \ 1). x * y != a(z,u,u \ 1) | x \ a(u,u,z) = y. (x * y) \ a(y,y,x) = y \ (x \ 1). (x \ 1) \ a(x,x,y) = L(x,x \ 1,y \ 1). L(x,x \ 1,y \ 1) = (x \ 1) \ a(x,x,y). a(x,x,y) \ 1 = a(y,x,x). x \ y != a(z,z,u \ 1) | x * a(u,z,z) = y. x * a(x,y,y) = R(x,y,y). a((x * y) \ (a(z,z,u) \ (x * y)),x,y) = R(a(u,z,z),x,y) * a(z,z,u). L(x,y,y) = x * a(x,y,y). x * a(x,y,y) = L(x,y,y). x * a(x,y,y) != z | y \ ((y \ 1) \ x) = z. x \ ((x \ 1) \ y) = L(y,x,x). (x * y) * a(x * y,x,x) != z | (x \ 1) \ y = z. (x \ 1) \ y = L(x * y,x,x). L(x * y,x,x) = (x \ 1) \ y. x \ y != z * a(z,u,u) | x * L(z,u,u) = y. x * L(y,x,x) = (x \ 1) \ y. x \ ((x \ 1) \ y) != z | (x \ 1) \ (x \ y) = z. (x \ 1) \ (x \ y) = L(y,x,x). x / y != z \ ((z \ 1) \ u) | L(u,z,z) * y = x. L(x,y,y) * y = x / (y \ 1). x \ y = L((x \ 1) * y,x,x). L((x \ 1) * y,x,x) = x \ y. (x \ 1) \ (L(y,x,x) \ y) = L(x,x \ 1,y \ 1). L(R(x,y,z) * u,x,x) = (x \ 1) \ (R(x,y,z) * (x \ u)). (x \ 1) \ (R(x,y,z) * (x \ u)) = L(R(x,y,z) * u,x,x). x * y != (x \ 1) \ L((x \ 1) * z,u,w) | L(x \ z,u,w) = y. L(x \ y,z,u) = L(L((x \ 1) * y,z,u),x,x). L(L((x \ 1) * y,z,u),x,x) = L(x \ y,z,u). L(x,y,y) \ (x / (y \ 1)) = y. x * y != L(z * (y \ 1),u,w) / (y \ 1) | L(z / y,u,w) = x. L(x / y,z,u) = L(L(x * (y \ 1),z,u),y,y). L(L(x * (y \ 1),z,u),y,y) = L(x / y,z,u). R((x \ 1) * y,x,x) = x \ y. (((x \ 1) * y) \ 1) \ R(((x \ 1) * y) \ (x \ y),z,u) = ((x \ 1) * y) * R(((x \ 1) * y) \ L((x \ 1) * y,x,x),z,u). ((x \ 1) * y) * R(((x \ 1) * y) \ L((x \ 1) * y,x,x),z,u) = (((x \ 1) * y) \ 1) \ R(((x \ 1) * y) \ (x \ y),z,u). R(x * L(y \ 1,z,u),y,y) = y \ (((y \ 1) \ x) * L(y \ 1,z,u)). x \ (((x \ 1) \ y) * L(x \ 1,z,u)) = R(y * L(x \ 1,z,u),x,x). L(a(x,y,z \ 1),z,y) = a(z,y,x). a(x,y,z \ y) = a(y \ z,y,x). a(x \ y,x,z) = a(z,x,y \ x). x != a(y,z,(u \ z) \ z) | a(y,z,u) = x. a(x,y,z) = a(y \ (z \ y),y,x). a(x \ (y \ x),x,z) = a(z,x,y). a(x \ (x / y),x,z) = a(z,x,y). L(a(x \ (y \ x),x,z),u,w) = a(L(z,u,w),x,y). a(x \ y,x,x) != z | a(y,x,x) = z. a(x \ y,y,y) = a(y,y,x). a(x,y,z) != L(u,x,y) | a(z,y,x \ 1) = u. L(x,y,z) != a(y,z,u) | a(u,z,y \ 1) = x. a(x,y,y \ 1) != z | a(y,y,x) = z. a(x \ K(y,z),y,y) != u | a(y,y,x) = u. a(x,x,y * z) != u | a(x,x,z * y) = u. L(x,y,y) != L(y \ z,y,z) | y \ z = x. x \ y = L((x \ 1) * y,x,y). L((x \ 1) * y,x,y) = x \ y. L((x \ 1) * (x * (y / x)),x,y) = x \ (x * (y / x)). (x \ 1) \ y != L(x,x \ 1,z \ 1) | a(x,x,z) = y. a(x,x,y) = L(y,x,x) \ y. L(x,y,y) \ x = a(y,y,x). x / y != L(z,u,u) \ z | a(u,u,z) * y = x. a(x,x,y) * L(y,x,x) = y. L(a(x,y,z),u,w) = a(L(x,u,w),y,z). a(L(x,y,z),u,w) = L(a(x,u,w),y,z). a(x,y,L(z,u,w)) = a(L(x,u,w),y,z). a(L(x,y,z),u,w) = a(x,u,L(w,y,z)). a(x,y,z) = L(a(x,y,z),u,x). L(a(x,y,z),u,x) = a(x,y,z). a(a(x,y,L(z,u,w)),v5,v6) = L(a(a(x,y,z),v5,v6),u,w). L(a(x,y,z),u,x) * w != a(x,y,z) | 1 = w. 1 = a(x,x \ 1,a(x,y,z)). a(x,x \ 1,a(x,y,z)) = 1. L(a(x,y,z),u,w) != v5 | a(x,y,L(z,u,w)) = v5. a(x,y,L(z,u,x)) = a(x,y,z). x \ y != L(a(z,u,w),v5,z) | x * a(z,u,w) = y. (x \ 1) * a(x,y,z) = x \ a(x,y,z). (x * y) * a(x,z,u) != w | x * (y * a(x,z,u)) = w. a(x,x \ 1,a(y,z,x)) = 1. x * y != a(z,z \ 1,a(u,w,z)) | x \ 1 = y. (x \ a(y,z,x)) \ 1 = (a(y,z,x) \ 1) * x. a(x,y,(x * z) \ u) = a(x,y,z \ (x \ u)). a(x,y,z) = a(x,y,u \ (x \ ((x * u) * z))). a(x,y,z \ (x \ ((x * z) * u))) = a(x,y,u). a(x,y,R(z,u,x)) = a(x,y,z). a(x,y,(z * x) \ (u * x)) = a(x,y,T(u / z,x * u)). a(x,y,T(z / u,x * z)) = a(x,y,(u * x) \ (z * x)). a(L(x,y,z),u,z) = a(x,u,z). a(x,y,z) = a(x,y,L(z,u,R(x,w,v5))). a(x,y,L(z,u,R(x,w,v5))) = a(x,y,z). a(L(x,y,R(z,u,w)),v5,z) = a(x,v5,z). a(L(x,x,y),z,u) = a(x,z,L(u,x,x * y)). a(x,y,L(z,x,x * u)) = a(L(x,x,u),y,z). a(L(x,y,z),u,w) = a(x,u,R(w,y,z)). a((x \ 1) * y,z,x \ 1) = a(x \ y,z,x \ 1). a((x \ y) \ 1,z,y \ 1) = a(y \ x,z,y \ 1). ((x \ y) \ 1) * a(y,x,x) = (x \ y) \ a(x \ y,x,x). (x \ y) \ a(x \ y,x,x) = ((x \ y) \ 1) * a(y,x,x). a(x \ (R(y,z,u) * w),v5,y) = a((R(y,z,u) \ x) \ w,v5,y). a((R(x,y,z) \ u) \ w,v5,x) = a(u \ (R(x,y,z) * w),v5,x). a(R(x / R(y,z,u),w,v5),v6,y) = a(R((R(y,z,u) / x) \ 1,w,v5),v6,y). a(R((R(x,y,z) / u) \ 1,w,v5),v6,x) = a(R(u / R(x,y,z),w,v5),v6,x). a(R(x,y,z),u,w) = a(x,u,R(w,y,z)). a(x,R(x,y,z),u) = a(x,x,R(u,y,z)). x != a(y,z,R(u,w,v5)) | R(a(y,z,u),w,v5) = x. R(a(x,y,z),u,w) = a(R(x,u,w),y,z). a(R(x,y,z),u,w) = R(a(x,u,w),y,z). a(R(x \ 1,y,z),u,u) = a(R(x,y,z),u,u \ 1). (x \ 1) * a(y,z,x) = x \ a(y,z,x). a(x,y,z) \ (a(x,y,z) / (z \ 1)) = z. (x \ 1) \ a(y,z,x \ 1) != u | x * a(y,z,x \ 1) = u. a(R(x \ 1,a(y,z,x),u),a(y,z,x),u) = a(u,a(y,z,x),x). x != a(y,y \ 1,z \ (y \ u)) | a(y,y \ 1,z \ u) = x. a(x,x \ 1,y \ z) = a(x,x \ 1,(x * y) \ z). a(x,x \ 1,(x * y) \ z) = a(x,x \ 1,y \ z). a(x,y,L(x \ z,x,x * u)) = a(x,y,(u * x) \ (x \ ((x * u) * z))). a(x,y,(z * x) \ (x \ ((x * z) * u))) = a(x,y,L(x \ u,x,x * z)). x != a(L(y,z,u),w,v5) | a(y,w,L(v5,z,u)) = x. a(x,y,L(z,x,u)) = a(x,y,L(z,x,x * u)). a(x,y,L(z,x,x * u)) = a(x,y,L(z,x,u)). a(x \ y,x \ 1,x \ 1) != z | a(y,x \ 1,x \ 1) = z. a(x \ y,y \ 1,(y \ 1) \ 1) = a(y \ x,y \ 1,y \ 1). a(R(x,y,z),u,u) = a(R(x \ 1,y,z),u,u \ 1). a(R(x \ 1,y,z),u,u \ 1) = a(R(x,y,z),u,u). a(R(x \ 1,y,z),u,u) != w | a(u,u,R(x,y,z)) = w. a(x,x \ 1,L(y,x,z)) = a(x,x \ 1,z \ (z * y)). a(x,x,R(y \ 1,z,u)) = a(R(y,z,u),x,x). L(x * (y \ 1),y,x) = y \ (y * (x / y)). L(x,y,L(z * (u \ 1),u,z) \ 1) != u \ (u * (z / u)) | L(z * (u \ 1),u,z) = x. L(x * (y \ 1),y,x) = x / y. a(x,y,x / z) = a(x,y,x * (z \ 1)). a(x,y,x * (z \ 1)) = a(x,y,x / z). x != a(y,z,y / u) | a(y,z,u \ y) = x. a(x,y,z \ x) = a(x,y,x * (z \ 1)). a(x,y,x * (z \ 1)) = a(x,y,z \ x). x * (y * a(x,L(x,z,u) \ 1,y)) = (L(x,z,u) \ 1) \ ((L(x,z,u) \ x) * y). (L(x,y,z) \ 1) \ ((L(x,y,z) \ x) * u) = x * (u * a(x,L(x,y,z) \ 1,u)). a(x,x \ 1,L(y,x,z)) = a(x,x \ 1,y). a(L(x,y,z),y,y) = a(y,y \ 1,x). a(x,y,y) = a(L(x,y,z),y,y). a(L(x,y,z),y,y) = a(x,y,y). a(x,x,R(y \ z,u,w)) = a(x,x,R(z / y,u,w)). a(x,x,R(y / z,u,w)) = a(x,x,R(z \ y,u,w)). (x \ y) \ a(y,x,x) = ((x \ y) \ 1) * a(y,x,x). ((x \ y) \ 1) * a(y,x,x) = (x \ y) \ a(y,x,x). x != (y \ z) \ a(z,y,y) | (z \ 1) * y = x. (x \ 1) * y = ((y \ x) \ 1) * a(x,y,y). ((x \ y) \ 1) * a(y,x,x) = (y \ 1) * x. (x \ 1) \ (R(x,y,z) * u) != w | R(x,y,z) * ((x \ 1) \ u) = w. R(x,y,z) * ((x \ 1) \ (x \ u)) = L(R(x,y,z) * u,x,x). x * a(y,x,x \ 1) = L(x,x,y). x * a(y,x,x) = L(x,x,y \ x). L(x,x,y \ x) = x * a(y,x,x). x * a(x,x,y) = L(x,x,y). x \ L(x,x,y) = a(x,x,y). (x * a(y,y,z)) \ (x * L(y,y,z)) = L(T(y,a(y,y,z)),a(y,y,z),x). L(T(x,a(x,x,y)),a(x,x,y),z) = (z * a(x,x,y)) \ (z * L(x,x,y)). (x * L(y,y,z \ y)) / L(a(z,y,y),y,x) = x * y. (x * L(y,y,z \ y)) / L(T(y,a(z,y,y)),a(z,y,y),x) = x * a(z,y,y). (x * L(y,y,z \ y)) / a(L(z,y,x),y,y) = x * y. (x * L(y,y,z \ y)) / a(z,y,y) = x * y. x * a(y,z,z) = (x / z) * L(z,z,y \ z). (x / y) * L(y,y,z \ y) = x * a(z,y,y). (x / y) * L(y,z,u) != w | (x * L(y,z,u)) / y = w. (x * L(y,y,z \ y)) / y = x * a(z,y,y). x * (y * a(z,x,x)) = L(x,x,z \ x) * y. L(x,x,y \ x) * z = x * (z * a(y,x,x)). x * a(y,z,z) != (x * L(z,z,y \ z)) / u | z = u. (x * L(y,y,z \ y)) / u != x * a(z,y,y) | y = u. L(x \ 1,x \ 1,(y * x) \ (x \ 1)) * z = (x \ 1) * (z * a(x * y,x \ 1,x \ 1)). R(x,y,z) * L(u,x,x) = L(R(x,y,z) * u,x,x). L(R(x,y,z) * u,x,x) = R(x,y,z) * L(u,x,x). (x * a(x,y,z)) * u = x * (a(x,y,R(z,x,u)) * u). x * (a(x,y,R(z,x,u)) * u) = (x * a(x,y,z)) * u. x * (a(x,y,L(z,x,u)) * u) = (x * a(x,y,z)) * u. a((R(x,y,z) \ u) \ K(R(x,y,z),w),v5,x) = a(u \ T(R(x,y,z),w),v5,x). a(R(x,y,z),y,z) != u | a(x,y,z) = u. a(x \ 1,a(y,z,x),u) = a(u,a(y,z,x),x). x != a(y,a(z,u,w),w) | a(y,w,a(z,u,w)) = x. a(x,y,a(z,u,y)) = a(y \ 1,a(z,u,y),x). a(x \ 1,a(y,z,x),u) = a(u,x,a(y,z,x)). a(x \ y,y \ 1,y) = a(y \ x,y \ 1,y \ 1). a(x \ y,x \ 1,x \ 1) = a(y \ x,x \ 1,x). a(x \ y,y,y \ 1) = a(y \ x,y \ 1,y \ 1). a(x \ y,x \ 1,x \ 1) = a(y \ x,x,x \ 1). x != a(y \ z,z,z \ 1) | a(y,z,z) = x. a(x,y,y) = a(y \ x,y \ 1,y \ 1). a(x \ y,x \ 1,x \ 1) = a(y,x,x). a(x,y \ 1,y \ 1) = a(x,y,y). a(R(x,y,z),u,w) != v5 | a(x,u,R(w,y,z)) = v5. a(x,y \ 1,R(y \ 1,z,u)) = a(R(x,z,u),y,y). L(x \ 1,x \ 1,y \ (x \ 1)) = x \ a(y,x,x). x != a(R(y,z,u),w,v5) | a(y,w,R(v5,z,u)) = x. a(x,y,R(y,z,u)) = a(x,y \ 1,R(y \ 1,z,u)). a(x,y \ 1,R(y \ 1,z,u)) = a(x,y,R(y,z,u)). x != y \ a(z,y,y) | L(y \ 1,y,z) = x. L(x \ 1,x,y) = L(x \ 1,x \ 1,y \ (x \ 1)). L(x \ 1,x \ 1,y \ (x \ 1)) = L(x \ 1,x,y). L(L(x,a(y,x,x),z),x \ 1,y \ 1) = (z * a(y,x,x)) \ (z * x). a(x,y,L(L(x * z,u,w),v5,v6)) = a(x,y,L(x * L(z,u,w),v5,v6)). T(a(x,y,z),u) = a(x,y,y \ (((y * x) * T(z,u)) * x)). a(x,y,y \ (((y * x) * T(z,u)) * x)) = T(a(x,y,z),u). a(x,y,T(z,u)) = T(a(x,y,z),u). T(a(x,y,z),u) != w | a(x,y,T(z,u)) = w. a(T(x,y),z,u) = a(x,z,T(u,y)). x != T(a(y,z,z),u) | a(y,z,z) = x. a(x,y,y) = a(x,y,T(y,z)). a(x,y,T(y,z)) = a(x,y,y). a(x,y,T(T(y,z),z)) = a(x,y,y). a(T(x,y),z,L(u,x,z)) != w | a(T(x,y),z,x * u) = w. a(T(x,y),z,x * u) = a(x,z,T(L(u,x,z),y)). a(x,y,T(L(z,x,y),u)) = a(T(x,u),y,x * z). a(T(x,y),z,u) = a(x,z,T(u,x * y)). a(x,y,T(z,x * u)) = a(T(x,u),y,z). a(x / y,z,u) = a(y \ x,z,T(u,y \ 1)). a(x \ y,z,T(u,x \ 1)) = a(y / x,z,u). a(x,y,T(T(y,z),z)) != u | a(x,T(y,z),T(y,z)) = u. a(x,T(y,z),T(y,z)) = a(x,y,y). a(x,T(y,z),R(T(y,z),u,w)) = a(R(x,u,w),y,y). a(T(x,y),z,u) != w | a(x,z,T(u,y)) = w. a(x,y,T(z,x * u)) != w | a(x,y,T(z,u)) = w. a(x,y,L(T(z,u),x,y)) = a(T(x,u),y,x * z). a(x,y,T(z / u,z)) = a(x,y,(u * x) \ (z * x)). a(x,y,x * T(z,u)) = a(T(x,u),y,x * z). a(T(x,y),z,x * u) = a(x,z,x * T(u,y)). a(x,y,x * T(z,u)) != w | a(x,y,T(x * z,u)) = w. a(x,y,R(y,z,u)) = a(x,T(y,w),R(T(y,w),z,u)). a(x,T(y,z),R(T(y,z),u,w)) = a(x,y,R(y,u,w)). a(x,y,z \ u) = a(x,y,(z * x) \ (u * x)). a(x,y,(z * x) \ (u * x)) = a(x,y,z \ u). a(x,T(y,z),R(T(y,z),u,w)) = a(T(x,y),y,R(y,u,w)). a(T(x,y),y,R(y,z,u)) = a(x,T(y,w),R(T(y,w),z,u)). a(x,T(y,z),R(T(y,z),u,w)) != v5 | a(x,y,R(y,u,w)) = v5. a(R(x,y,z),u,u) != w | a(x,u,R(u,y,z)) = w. L(L(x,a(y,x,x),z),x \ 1,y \ 1) = (z * a(x,x \ 1,y)) \ (z * x). x \ (y * L(x \ 1,z,u)) != w | (x \ y) * L(x \ 1,z,u) = w. (x \ ((x \ 1) \ y)) * L(x \ 1,z,u) = R(y * L(x \ 1,z,u),x,x). x != a(y,z,L(u,y,y * w)) | a(y,z,L(u,y,w)) = x. a(x,y,L(x \ z,x,u)) = a(x,y,(u * x) \ (x \ ((x * u) * z))). a(x,y,(z * x) \ (x \ ((x * z) * u))) = a(x,y,L(x \ u,x,z)). L(x,a(x,x,y),z) = (z * a(x,x,y)) \ (z * L(x,x,y)). (x * a(y,y,z)) \ (x * L(y,y,z)) = L(y,a(y,y,z),x). L(x,y,y) * L(y \ 1,z,u) = R(x * L(y \ 1,z,u),y,y). R(x * L(y \ 1,z,u),y,y) = L(x,y,y) * L(y \ 1,z,u). L(x * L(y \ 1,z,u),y,y) = L(x,y,y) * L(y \ 1,z,u). a(x,y,L(x,z,z) * L(z \ 1,u,w)) = a(x,y,x * L(L(z \ 1,u,w),z,z)). x * (R(x * L(x \ 1,x,y),z,u) * w) = a(y,x,R(x,z,u)) * (x * w). a(R(R(x,y,z) \ u,w,v5),x,x) = a(R((R(x,y,z) / u) \ 1,w,v5),x,x). a(R((R(x,y,z) / u) \ 1,w,v5),x,x) = a(R(R(x,y,z) \ u,w,v5),x,x). L(L(x,a(x,x \ 1,y),z),x \ 1,y \ 1) = (z * a(x,x \ 1,y)) \ (z * x). x * (R(a(y,x,x),z,u) * w) = a(y,x,R(x,z,u)) * (x * w). a(x,y,R(y,z,u)) * (y * w) = y * (R(a(x,y,y),z,u) * w). a(x,y,R(y,z,u)) * (y * w) = y * (a(x,y,R(y,z,u)) * w). a(x,x,R(R(x,y,z) / u,w,v5)) = a(R(R(x,y,z) \ u,w,v5),x,x). a(R(R(x,y,z) \ u,w,v5),x,x) = a(x,x,R(R(x,y,z) / u,w,v5)). x != a(y,y,R(z / u,w,v5)) | a(y,y,R(u \ z,w,v5)) = x. a(x,x,R(y \ R(x,z,u),w,v5)) = a(R(R(x,z,u) \ y,w,v5),x,x). a(R(R(x,y,z) \ u,w,v5),x,x) = a(x,x,R(u \ R(x,y,z),w,v5)). a(x,x,R(y \ R(x,z,u),w,v5)) != v6 | a(R(x,z,u) \ y,x,R(x,w,v5)) = v6. a((x * y) \ (a(z,z,u) \ (x * y)),x,y) = a(u,z,R(z,x,y)) * a(z,z,u). (x * L(y,y,z \ y)) / L(y,a(z,y,y),x) = x * a(z,y,y). x = L(x,a(y,x,x),z). L(x,a(y,x,x),z) = x. R(x,a(y,x,x),z) = x. L(x,a(x,x,y),z) = x. R(x,a(y,x,x \ 1),z) = x. L(x,a(x,x,y),z) != u | (z * a(x,x,y)) \ (z * L(x,x,y)) = u. (x * a(y,y,z)) \ (x * L(y,y,z)) = y. a(L(x,a(y,y,z),u),w,y) = a(x,w,y). L(x,x \ 1,y) \ z = a(y,x,x \ 1) * (x \ z). a(x,y,y \ 1) * (y \ z) = L(y,y \ 1,x) \ z. (x / y) * L(y,y,z) = x * a(y,y,z). (x * a(y,y,z)) * a(u,y,y) = x * (a(y,y,z) * a(u,y,y)). a(x,y,y) * (y \ z) = L(y,y \ 1,x \ 1) \ z. L(x,x \ 1,y \ 1) \ z = a(y,x,x) * (x \ z). L(x,x \ 1,y \ 1) * z = x * (a(y,x,x) \ z). x != a(y,z,z) * u | u * a(y,z,z) = x. (x \ y) * a(z,x,x) = L(x,x \ 1,z \ 1) \ y. L(x,x \ 1,y \ 1) \ z = (x \ z) * a(y,x,x). L(x,x,y) * z = x * (a(y,x,x) \ z). x * (a(y,x,x) \ z) = L(x,x,y) * z. x * y != L(x,x,z) * u | (u / x) * L(x,x,z) = y. (x / y) * L(y,y,z) = a(z,y,y) \ x. x * y != L(x,z,u) * w | L(x,z,u) * (x \ w) = y. L(x,x,y) * (x \ z) = a(y,x,x) \ z. (x / y) * L(y,y,z) != u | x * a(y,y,z) = u. x * a(y,y,z) = a(z,y,y) \ x. a(x,y,y) \ z = z * a(y,y,x). x \ y != (z / u) * L(u,u,w) | x * (z * a(u,u,w)) = y. a(x,y,y) * (z * a(y,y,x)) = z. x * y != (z / u) * L(u,u,w) | x \ (a(w,u,u) \ z) = y. x \ (a(y,z,z) \ x) = a(z,z,y). a(x,y,y) * z = z / a(y,y,x). x / a(y,y,z) = a(z,y,y) * x. a(x,x,y) * z = a(y,x,x) \ z. a(x,y,y) \ z = a(y,y,x) * z. x = (x * a(y,z,z)) * a(z,z,y). (x * a(y,z,z)) * a(z,z,y) = x. a(x,y,a(z,z,u)) = a(a(u,z,z),y,x). a(a(x,y,y),z,u) = a(u,z,a(y,y,x)). a(x,x,y) \ z = a(y,x,x) * z. a(x,y,y) \ z = a(x,y,y \ 1) * z. a(x,y,y \ 1) * z = a(x,y,y) \ z. x * y != (z * a(u,w,w)) * a(w,w,u) | x \ z = y. a(x,x,y) \ z = z * a(y,x,x). x \ y != (z * u) * a(L(w,u,z),v5,v5) | y / (z * (u * a(w,v5,v5))) = x. (x * y) / (x * (y * a(z,u,u))) = a(u,u,L(z,y,x)). a(x,y,y \ 1) \ z = z * a(x,y,y). x * y != z \ (z * u) | x \ u = y. L(x,x,y) \ z = x \ (a(y,x,x) * z). x \ (a(y,x,x) * z) = L(x,x,y) \ z. (L(x,x,y) \ z) / (x \ z) = a(y,x,x). x != a(y \ z,y,u) | a(u,y,z \ y) = x. a(a(x,x,y),z,u \ z) = a(a(y,x,x),z,z \ u). a(a(x,y,y),z,z \ u) = a(a(y,y,x),z,u \ z). (L(x,x,y) \ 1) * (L(x,x,y) * z) = L(z,L(x,x,y),x \ (a(y,x,x) * 1)). L(x,L(y,y,z),y \ (a(z,y,y) * 1)) = (L(y,y,z) \ 1) * (L(y,y,z) * x). (x \ 1) \ (a(y \ x,x \ 1,x \ 1) * z) = L(x \ 1,x \ 1,x / y) \ z. x / y != a(z \ 1,u,u) | a(u,u,z) * y = x. a(x,x,y) * (x \ z) = L(x,x,y \ 1) \ z. L(x,x,y \ 1) \ z = a(x,x,y) * (x \ z). L(x \ 1,x \ 1,y \ 1) \ z = a(x \ 1,x \ 1,y) * (z / (x \ K(z,x))). a(x \ 1,x \ 1,y) * (z / (x \ K(z,x))) = L(x \ 1,x \ 1,y \ 1) \ z. L(x,x,y) \ z = (x \ z) * a(y,x,x). (x \ y) * a(z,x,x) = L(x,x,z) \ y. (L(x,x,y) \ z) * a(x,x,y) = x \ z. (x * y) / (x * L(y,z,z)) = a(z,z,L(y,y,x)). x != a(y,z,L(u,w,R(y,v5,v6))) | a(y,z,u) = x. a(x,x,y) = (R(x,z,u) * y) / (R(x,z,u) * L(y,x,x)). (R(x,y,z) * u) / (R(x,y,z) * L(u,x,x)) = a(x,x,u). (R(x,y,z) * u) / L(R(x,y,z) * u,x,x) = a(x,x,u). L(R(x,y,z) * u,x,x) \ (R(x,y,z) * u) = a(x,x,u). L(x,y,y) \ x != z | a(y,y,x) = z. a(x,x,R(x,y,z) * u) = a(x,x,u). a(x,x,y) = a(x,x,R(x,z,u) \ y). a(x,x,R(x,y,z) \ u) = a(x,x,u). a(x,x,(x \ y) * z) = a(x,x,y * z). a(x,x,y * (x \ z)) = a(x,x,z * y). (x * (a(y,y,z) * a(u,y,y))) * w != (x * a(y,y,z)) * a(u,y,y) | 1 = w. 1 = a(x,a(y,y,z),a(u,y,y)). a(x,a(y,y,z),a(u,y,y)) = 1. a(x,a(y,y,z),a(y,y,u)) = 1. a((R(x,y,z) \ u) \ K(x,L(w,y,z)),v5,x) = a(u \ T(R(x,y,z),w),v5,x). a((x * y) \ (a(z,u,u) * (x * y)),x,y) = a(z,u,R(u,x,y)) * a(u,u,z). L(x,L(y,y,z),y \ (a(z,y,y) * 1)) = L(y \ 1,y,z) * (L(y,y,z) * x). a(x,x,R(x,y,z) \ u) = a(u \ T(R(x,y,z),w),x,x). a(x \ T(R(y,z,u),w),y,y) = a(y,y,R(y,z,u) \ x). a(x \ R(y,z,u),y,y) = a(y,y,R(y,z,u) \ x). x != a(y,y,R(y,z,u) \ w) | a(y,y,w) = x. a(x,x,y) = a(y \ R(x,z,u),x,x). a(x \ R(y,z,u),y,y) = a(y,y,x). a(x,x,y) * a(y,x,R(x,z,u)) = a((z * u) \ (a(y,x,x) * (z * u)),z,u). a((x * y) \ (a(z,u,u) * (x * y)),x,y) = a(u,u,z) * a(z,u,R(u,x,y)). a((x * y) \ (z * (x * y)),x,y) != u | a(z,x,y) = u. a(a(x,y,y),z,u) = a(y,y,x) * a(x,y,R(y,z,u)). a(x,x,y) * a(y,x,R(x,z,u)) = a(a(y,x,x),z,u). a(x,x,y) * R(a(y,x,x),z,u) = a(a(y,x,x),z,u). a(x,x,y) * R(a(y,x,x \ 1) \ 1,z,u) = a(a(y,x,x),z,u). a(x,y,y \ 1) * R(a(x,y,y \ 1) \ 1,z,u) = a(a(x,y,y),z,u). a(x,y,L(x,z,z) * L(z \ 1,u,w)) = a(x,y,x * L(z \ 1,u,w)). x != a(y,z,y * L(u,w,v5)) | a(y,z,L(y * u,w,v5)) = x. a(x,y,L(x * (z \ 1),u,w)) = a(x,y,L(x,z,z) * L(z \ 1,u,w)). a(x,y,L(x,z,z) * L(z \ 1,u,w)) = a(x,y,L(x * (z \ 1),u,w)). a(x,y,L(x * L(z \ 1,u,w),z,z)) = a(x,y,L(x * (z \ 1),u,w)). a(x,y,L(x * L(z,u,w),v5,v6)) != v7 | a(x,y,L(L(x * z,u,w),v5,v6)) = v7. a(x,y,L(L(x * (z \ 1),u,w),z,z)) = a(x,y,L(x * (z \ 1),u,w)). a(x,y,L(x / z,u,w)) = a(x,y,L(x * (z \ 1),u,w)). a(x,y,L(x * (z \ 1),u,w)) = a(x,y,L(x / z,u,w)). x != a(y,z,L(y / u,w,v5)) | a(y,z,L(u \ y,w,v5)) = x. a(x,y,L(z \ x,u,w)) = a(x,y,L(x * (z \ 1),u,w)). a(x,y,L(x * (z \ 1),u,w)) = a(x,y,L(z \ x,u,w)). a(x,y,L(x * (z \ 1),z,u)) != w | a(x,y,x * (z \ a(u,z,z))) = w. a(x,y,x * (z \ a(u,z,z))) = a(x,y,L(z \ x,z,u)). a(x,y,x * ((z \ u) \ a(z,z \ u,z \ u))) = a(x,y,u \ (z * x)). a(x,y,x * ((z \ u) \ a(z,z \ u,u))) = a(x,y,u \ (z * x)). a(x,y,x * (z \ u)) = a(x,y,z \ (u * x)). a(x,y,z \ (u * x)) = a(x,y,x * (z \ u)). a(x,y,(z * x) \ (u * x)) != w | a(x,y,z \ u) = w. a(x,y,z \ u) = a(x,y,x * ((z * x) \ u)). a(x,y,x * ((z * x) \ u)) = a(x,y,z \ u). L(L(x,x \ 1,y \ 1),a(x,x \ 1,y),z) = (z * a(x,x \ 1,y)) \ (z * x). (x \ 1) \ (a(y \ x,x,x) * z) = L(x \ 1,x \ 1,x / y) \ z. L(x \ 1,x \ 1,x / y) \ z = (x \ 1) \ (a(y \ x,x,x) * z). L(x \ 1,x \ 1,x / y) \ z = (x \ 1) \ (a(x,x,y) * z). L(x \ 1,x \ 1,y \ x) \ z = (x \ 1) \ (a(x,x,y) * z). L(x \ 1,x,(y \ x) \ 1) \ z = (x \ 1) \ (a(x,x,y) * z). L(x \ 1,x,y) \ z = (x \ 1) \ (a(x,x,y) * z). (x \ 1) \ (a(x,x,y) * z) = L(x \ 1,x,y) \ z. x \ y != L(x,z,u) \ (x \ w) | L(x,z,u) \ w = y. L(x \ 1,x,y) \ z = a(x,x,y) * ((x \ 1) \ z). a(x,x,y) * ((x \ 1) \ z) = L(x \ 1,x,y) \ z. a(x,x,y) * (z / (x \ K(z,x))) = L(x \ 1,x,y) \ z. a(x \ 1,x \ 1,y) * (z / (x \ K(z,x))) = L(x \ 1,x,(y \ 1) \ 1) \ z. K(x * y,L(L(y,y \ 1,z \ 1),a(y,y \ 1,z),x)) = K(x * a(y,y \ 1,z),x * y). a(x \ 1,x \ 1,y) * (z / (x \ K(z,x))) = L(x \ 1,x,y) \ z. x * (y / (z \ K(y,z))) != L(z \ 1,z,u) \ y | a(z,z,u) = x. a(x,x,y) = a(x \ 1,x \ 1,y). a(x \ 1,x \ 1,y) = a(x,x,y). a(L(x \ 1,x,y),L(x,x,y) \ 1,z) = a(L(x,x,y),L(x,x,y),z). a(L(x \ 1,x,y),L(x \ 1,x,y),z) = a(L(x,x,y),L(x,x,y),z). a(x,T(y,z),L(T(z,y),T(y,z),x)) = a(x,T(y,z),y \ (x * (z * y))). a(x,T(y,z),L(T(z,y),y,x)) = a(x,T(y,z),y \ (x * (z * y))). a(x,T(y,z),y \ (x * (z * y))) = a(x,T(y,z),L(T(z,y),y,x)). x != a(y,T(z,u),L(T(w,z),v5,v6)) | a(y,T(z,u),L(w,v5,v6)) = x. a(x,T(y,z),L(z,y,x)) = a(x,T(y,z),y \ (x * (z * y))). a(x,T(y,z),y \ (x * (z * y))) = a(x,T(y,z),L(z,y,x)). x != a(y,T(z,u),L(u,z,w)) | a(y,z,L(u,z,w)) = x. a(x,y,L(z,y,x)) = a(x,T(y,z),y \ (x * (z * y))). a(x,T(y,z),y \ (x * (z * y))) = a(x,y,L(z,y,x)). a(x,T(y,z),y \ (x * (z * y))) != u | a(x,T(y,z),y \ ((z * y) * x)) = u. a(x,T(y,z),y \ ((z * y) * x)) = a(x,y,L(z,y,x)). x != a(y,z,L(u,w,y)) | a(y,z,u) = x. a(x,y,z) = a(x,T(y,z),y \ ((z * y) * x)). a(x,T(y,z),y \ ((z * y) * x)) = a(x,y,z). a(x,y,z \ (u * x)) != w | a(x,y,x * (z \ u)) = w. a(x,T(y,z),x * (y \ (z * y))) = a(x,y,z). a(x,T(y,z),x * T(z,y)) = a(x,y,z). a(x,T(y,z),T(x * z,y)) = a(x,y,z). a(x,T(y,z),x * z) = a(x,y,z). a(x,T(y,z),x * z) != u | a(x,y,x * z) = u. a(x,y,x * z) = a(x,y,z). a(x,y,x * L(z,u,w)) != v5 | a(x,y,L(x * z,u,w)) = v5. a(x,y,L(x * z,u,w)) = a(x,y,L(z,u,w)). a(x,y,x * ((z * x) \ u)) != w | a(x,y,z \ u) = w. a(x,y,z \ u) = a(x,y,(z * x) \ u). a(x,y,(z * x) \ u) = a(x,y,z \ u). a(x,R(x,y,z),u) != w | a(x,x,R(u,y,z)) = w. a(x,x,R(x * y,z,u)) = a(x,R(x,z,u),y). a(x,y,(z * x) \ (x \ ((x * z) * u))) != w | a(x,y,L(x \ u,x,z)) = w. a(x,y,L(x \ z,x,u)) = a(x,y,u \ (x \ ((x * u) * z))). a(x,y,z \ (x \ ((x * z) * u))) = a(x,y,L(x \ u,x,z)). a(x,y,L(z,u,w)) = a(x,y,L(x \ z,u,w)). a(x,y,L(x \ z,u,w)) = a(x,y,L(z,u,w)). x != a(y,R(y,z,u),w) | a(y,y,R(w,z,u)) = x. a(x,x,R(y,z,u)) = a(x,x,R(x * y,z,u)). a(x,x,R(x * y,z,u)) = a(x,x,R(y,z,u)). a(x,x,y) != z | 1 \ a(y,x,x \ 1) = z. 1 \ a(R(x * y,z,u),x,x \ 1) = a(x,x,R(y,z,u)). x \ y != a(z,z,u) | a(u,z,z) \ x = y. a(R(x,y,z),u,u) \ 1 = a(R(u * x,y,z),u,u \ 1). a(R(x * y,z,u),x,x \ 1) = a(R(y,z,u),x,x) \ 1. a(R(x * y,z,u),x,x) = a(R(y,z,u),x,x). a(x * y,x,R(x,z,u)) = a(R(y,z,u),x,x). a(x,y,R(y,z,u)) = a(y * x,y,R(y,z,u)). a(x * y,x,R(x,z,u)) = a(y,x,R(x,z,u)). a(x,y,z \ (x \ ((x * z) * u))) != w | a(x,y,u) = w. a(x,y,z) = a(x,y,L(x \ z,x,u)). a(x,y,L(x \ z,x,u)) = a(x,y,z). a(x,y,L(x \ z,u,w)) != v5 | a(x,y,L(z,u,w)) = v5. a(x,y,L(z,x,u)) = a(x,y,z). L(a(x,y,z),x,u) = a(x,y,z). a(x,y,z) != u | a(x,y,x * z) = u. x * (a(x,y,z) * u) = (x * a(x,y,z)) * u. (x * a(x,y,z)) * u = x * (a(x,y,z) * u). a(x,y,z \ 1) = a(z,y,x). x \ L(x,y,z) = a(x,y,z). a(x,y,z) = x \ L(x,y,z). a(x,y,a(y,z,u)) = 1. a(x,y,z) != L(u,x,w) | a(x,y,z) = u. L(x,y,z) != a(y,u,w) | a(y,u,w) = x. x \ R(x,y,z) = a(x,y,z). a(x,y,z) = x \ R(x,y,z). a(x,y,x * (z \ 1)) = a(z,y,x). a(x,y,(z \ 1) \ 1) != u | a(x,y,z) = u. a(x,y,z) = a(z \ 1,y,x). a(x \ 1,y,z) = a(z,y,x). x \ y != a(z,u,w \ 1) | x * a(w,u,z) = y. x * a(x,y,z) = R(x,y,z). R(x,y,z) = x * a(x,y,z). x != (y \ 1) \ L(y \ 1,z,u) | y * L(y \ 1,z,u) = x. x * L(x \ 1,y,z) = a(x \ 1,y,z). x \ y != z \ L(z,u,w) | x * a(z,u,w) = y. x * a(x,y,z) = L(x,y,z). L(x,y,z) = x * a(x,y,z). a(x,y,R(z,u,w)) = R(x,u,w) \ L(R(x,u,w),y,z). R(x,y,z) \ L(R(x,y,z),u,w) = a(x,u,R(w,y,z)). x / y != z \ R(z,u,w) | a(z,u,w) * y = x. a(x,y,z) * x = R(x,y,z). R(x,y,z) = a(x,y,z) * x. x \ y != a(z,T(u,w),R(T(u,w),v5,v6)) | x * a(z,u,R(u,v5,v6)) = y. x * a(x,y,R(y,z,u)) = R(x,T(y,w),R(T(y,w),z,u)). R(x,T(y,z),R(T(y,z),u,w)) = x * a(x,y,R(y,u,w)). x \ y != a(z,u \ 1,R(u \ 1,w,v5)) | x * a(z,u,R(u,w,v5)) = y. x * a(x,y,R(y,z,u)) = R(x,y \ 1,R(y \ 1,z,u)). R(x,y \ 1,R(y \ 1,z,u)) = x * a(x,y,R(y,z,u)). x * a(x,y,z) != u | u = R(x,y,z). x * a(x,y,z) != u | R(x,y,z) = u. a(x,L(x,y,z) \ 1,u) = a(u,x,L(x,y,z)). a(x,y,R(z,u,w)) = a(z \ 1,y,R(x,u,w)). a(x \ 1,y,R(z,u,w)) = a(z,y,R(x,u,w)). x != (y \ 1) * z | ((z \ y) \ 1) * a(y,z,z) = x. ((a(x \ 1,y,z) \ x) \ 1) * a(x,a(x \ 1,y,z),a(x \ 1,y,z)) = R(x \ 1,y,z). x \ R(x,y,z) != u | u = a(x,y,z). x \ R(x,y,z) != u | a(x,y,z) = u. x \ (y * L(y \ x,z,u)) = a((x \ y) \ 1,z,u). x != a(y,z,R(z,u,w)) * (z * v5) | z * (a(y,z,R(z,u,w)) * v5) = x. x * (a(x * y,x,R(x,z,u)) * y) = R(x * y,x,R(x,z,u)). a(x,y,x * (z \ 1)) != u | a(x,y,z \ x) = u. a(x,y,z \ x) = a(z,y,x). a(x,y,R(z \ R(x,u,w),u,w)) = a(z,y,R(x,u,w)). a(x,y,z \ 1) != u | a(z,y,x) = u. L(x,a(y,z,u),y) = x. L(x,y,z) * u = x * (a(x,y,z) * u). x * (a(x,y,z) * u) = L(x,y,z) * u. L(x,a(y,z,z),z \ 1) = x. x * (a(y,z,x) * u) = L(x,z,y \ x) * u. L(x,y,z \ x) * u = x * (a(z,y,x) * u). (L(x,y,z) \ 1) \ ((L(x,y,z) \ x) * u) = x * (u * a(u,x,L(x,y,z))). a(R(x,y,z) \ u,x,R(x,y,z)) = a(u,x,R(x,y,z)). x != y * a(y,z,u) | R(y,z,u) = x. R(x,y,R(y,z,u)) = R(x,T(y,w),R(T(y,w),z,u)). R(x,T(y,z),R(T(y,z),u,w)) = R(x,y,R(y,u,w)). R(x,T(y,z),R(T(y,z),u,w)) = x * a(x,y,L(y,u,w)). R(x,y,R(y,z,u)) = R(x,y \ 1,R(y \ 1,z,u)). R(x,y \ 1,R(y \ 1,z,u)) = R(x,y,R(y,z,u)). R(x,y \ 1,L(y \ 1,z,u)) = R(x,y,R(y,z,u)). R(x,y \ 1,L(y \ 1,z,u)) = R(x,y,L(y,z,u)). R(x,y \ 1,L(y \ 1,z,u)) != w | R(x,y,R(y,z,u)) = w. R(x,y,R(y,z,u)) = R(x,y,L(y,z,u)). L(x,y,R(y,z,u)) = R(x,y,L(y,z,u)). R(x,y,L(y,z,u)) = L(x,y,R(y,z,u)). L(x,y,L(y,z,u)) = L(x,y,R(y,z,u)). L(x,y,R(y,z,u)) = L(x,y,L(y,z,u)). R(x,y \ 1,L(y \ 1,z,u)) != w | R(x,y,L(y,z,u)) = w. R(x,y,L(y,z,u)) = L(x,y \ 1,R(y \ 1,z,u)). L(x,y \ 1,R(y \ 1,z,u)) = R(x,y,L(y,z,u)). x != R(y,z,L(z,u,w)) | L(y,z,R(z,u,w)) = x. L(x,y,R(y,z,u)) = L(x,y \ 1,R(y \ 1,z,u)). L(x,y \ 1,R(y \ 1,z,u)) = L(x,y,R(y,z,u)). R(x,T(y,z),R(T(y,z),u,w)) != v5 | R(x,y,L(y,u,w)) = v5. R(x,y,R(y,z,u)) != w | R(x,y,L(y,z,u)) = w. x * (a(y,x,R(x,z,u)) * y) = R(x * y,x,R(x,z,u)). x * R(y,x,R(x,z,u)) = R(x * y,x,R(x,z,u)). R(x * y,x,R(x,z,u)) = x * R(y,x,R(x,z,u)). R(x * y,x,R(x,z,u)) = x * R(y,x,L(x,z,u)). R(x * y,x,L(x,z,u)) = x * R(y,x,L(x,z,u)). T(R(x * y,x,L(x,z,u)),x) = R(y,x,L(x,z,u)) * x. R(T(x * y,x),x,L(x,z,u)) = R(y,x,L(x,z,u)) * x. R(x * y,y,L(y,z,u)) = R(x,y,L(y,z,u)) * y. R(x * y,y,L(y,z,u)) = L(x,y,R(y,z,u)) * y. R(x,y,L(y,z,u)) != w | L(x,y,R(y,z,u)) = w. L(x * y,y,R(y,z,u)) = L(x,y,R(y,z,u)) * y. T(L(x * (y \ 1),y \ 1,R(y \ 1,z,u)),y) = (y \ 1) * L(x,y \ 1,R(y \ 1,z,u)). L(x * y,y,R(y,z,u)) = L(x,y,L(y,z,u)) * y. L(x,y,R(y,z,u)) != w | L(x,y,L(y,z,u)) = w. L(x * y,y,L(y,z,u)) = L(x,y,L(y,z,u)) * y. (L(x,y,z) \ 1) \ ((L(x,y,z) \ x) * u) = x * L(u,x,L(x,y,z)). L((x \ 1) * R((x \ 1) \ 1,y,z),x,u) = L(x \ 1,x,u) * L(R(x,y,z),x,u). L(R(x,y,z),x \ 1,u \ 1) = L(R(x,y,z),x,u). L(R(x,y,z),x \ 1,u) = L(R(x,y,z),x,u \ 1). R(R(x,y,z),x \ 1,u) = L(R(x,y,z),x,u \ 1). L(R(x,y,z) \ L(R(x,y,z),x,((x \ 1) \ u) \ 1),R(x,y,z),u) = a(x \ 1,R(x,y,z),(x \ 1) \ u). ((a(x,y,R(z,u,w)) \ z) \ 1) * a(z,a(z \ 1,y,R(x,u,w)),a(z \ 1,y,R(x,u,w))) = R(z \ 1,y,R(x,u,w)). L(x \ 1,x \ 1,(y * x) \ (x \ 1)) * z = (x \ 1) * (z * a(x * y,x,x)). L(x \ 1,x \ 1,(y * x) \ (x \ 1)) * z = (x \ 1) * (z * a(y,x,x)). L(x \ 1,x,y * x) * z = (x \ 1) * (z * a(y,x,x)). L(x \ 1,x,y) * z = (x \ 1) * (z * a(y,x,x)). (x \ 1) * (y * a(z,x,x)) = L(x \ 1,x,z) * y. L(x \ 1,x,y) * z = ((x \ 1) * z) * a(y,x,x). ((x \ 1) * y) * a(z,x,x) = L(x \ 1,x,z) * y. K(x * y,L(L(y,y,z),a(y,y \ 1,z),x)) = K(x * a(y,y \ 1,z),x * y). K(x * y,L(y,a(y,y \ 1,z),x)) = K(x * a(y,y \ 1,z),x * y). K(x,L(y,a(y,y \ 1,z),x)) = K(x * a(y,y \ 1,z),x * y). K(x * a(y,y \ 1,z),x * y) = K(x,L(y,a(y,y \ 1,z),x)). x != K(y,L(z,u,y)) | K(y,z) = x. K(x,y) = K(x * a(y,y \ 1,z),x * y). K(x * a(y,y \ 1,z),x * y) = K(x,y). K(x * a(y,z,z),x * z) = K(x,z). K(x,y) * L(L(y,a(z,y,y),x),y,z) = (x * y) / (x * a(z,y,y)). K(x,y) * L(y,y,z) = (x * y) / (x * a(z,y,y)). (x * y) / (x * a(z,y,y)) = K(x,y) * L(y,y,z). x != K(y,z) * L(z,z,u) | L(T(z,y \ z),z,u) = x. L(T(x,y \ x),x,z) = (y * x) / (y * a(z,x,x)). (x * y) / (x * a(z,y,y)) = L(T(y,x \ y),y,z). T(L(x * (y \ 1),y,R(y,z,u)),y) = (y \ 1) * L(x,y \ 1,R(y \ 1,z,u)). L(T(x * (y \ 1),y),y,R(y,z,u)) = (y \ 1) * L(x,y \ 1,R(y \ 1,z,u)). L((x \ 1) * y,x,R(x,z,u)) = (x \ 1) * L(y,x \ 1,R(x \ 1,z,u)). (x \ 1) * L(y,x \ 1,R(x \ 1,z,u)) = L((x \ 1) * y,x,R(x,z,u)). (x \ 1) * L(y,x,R(x,z,u)) = L((x \ 1) * y,x,R(x,z,u)). L((x \ 1) * y,x,R(x,z,u)) = (x \ 1) * L(y,x,R(x,z,u)). L((x \ 1) * y,x,R(x,z,u)) = (x \ 1) * L(y,x,L(x,z,u)). L((x \ 1) * y,x,L(x,z,u)) = (x \ 1) * L(y,x,L(x,z,u)). L((x \ 1) * (x * y),z,u) != w | L(L(y,z,u),x,x \ 1) = w. L(L(x,y,L(y,z,u)),y,y \ 1) = (y \ 1) * L(y * x,y,L(y,z,u)). (x \ 1) * L(x * y,x,L(x,z,u)) = L(L(y,x,L(x,z,u)),x,x \ 1). (x \ 1) * y != L(z,x,x \ 1) | x * z = y. x * L(y,x,L(x,z,u)) = L(x * y,x,L(x,z,u)). L(x * y,x,L(x,z,u)) = x * L(y,x,L(x,z,u)). x != y * L(z,y,L(y,u,w)) | (L(y,u,w) \ 1) \ ((L(y,u,w) \ y) * z) = x. (L(x,y,z) \ 1) \ ((L(x,y,z) \ x) * u) = L(x * u,x,L(x,y,z)). L(x,(L(y,z,u) \ y) \ (L(y,z,u) \ 1),L(y,z,u) \ y) = L(y * (((L(y,z,u) \ y) \ (L(y,z,u) \ 1)) * x),y,L(y,z,u)). L(x * (((L(x,y,z) \ x) \ (L(x,y,z) \ 1)) * u),x,L(x,y,z)) = L(u,(L(x,y,z) \ x) \ (L(x,y,z) \ 1),L(x,y,z) \ x). (x * ((L(y,z,u) \ y) \ 1)) / ((L(y,z,u) \ 1) \ 1) = L(y * (x \ 1),y,L(y,z,u)) \ 1. (x * (y \ L(y,z,u))) / ((L(y,z,u) \ 1) \ 1) = L(y * (x \ 1),y,L(y,z,u)) \ 1. (x * (y \ L(y,z,u))) / L(y,z,u) = L(y * (x \ 1),y,L(y,z,u)) \ 1. L(x * (y \ 1),x,L(x,z,u)) \ 1 = (y * (x \ L(x,z,u))) / L(x,z,u). L(x * (y \ 1),x,L(x,z,u)) \ 1 != w | L(x,z,u) / (x * (y \ L(x,z,u))) = w. (((x * y) / (x * a(z,y,y))) * x) * a(z,y,y) = x * (a(z,y,y) * L(R(y,x,a(z,y,y)),y,z)). (((x * y) / (x * a(z,y,y))) * x) * a(z,y,y) = x * (a(z,y,y) * L(y,y,z)). (((x * y) / (x * a(z,y,y))) * x) * a(z,y,y) = x * y. (L(T(x,y \ x),x,z) * y) * a(z,x,x) = y * x. (L(x,x,y) * (z * K(z,x))) * a(y,x,x) = z * x. (L(x,x,y) * T(z,x)) * a(y,x,x) = z * x. T(L(x,x,y) * z,x) * a(y,x,x) = z * x. (x * L(y,y,z)) * a(z,y,y) = x * y. (x \ 1) * (y * x) = L(x \ 1,x,z) * (y * L(x,x,z)). L(x \ 1,x,y) * (z * L(x,x,y)) = (x \ 1) * (z * x). x != y * (T(z,y) * u) | (z * y) * L(u,z,y) = x. (x * (y \ 1)) * L(y,x,y \ 1) = L(y \ 1,y,z) * (T(x,y \ 1) * L(y,y,z)). L(x \ 1,x,y) * (T(z,x \ 1) * L(x,x,y)) = (z * (x \ 1)) * L(x,z,x \ 1). L(x \ 1,x,y) * (L(x,x,y) * z) = (z * (x \ 1)) * L(x,z,x \ 1). L(x \ 1,x,y) * (L(x,x,y) * z) = (z * (x \ 1)) * x. x != (y * (z \ 1)) * z | L(y,z,z \ 1) = x. L(x,y,y \ 1) = L(y \ 1,y,z) * (L(y,y,z) * x). L(x \ 1,x,y) * (L(x,x,y) * z) = L(z,x,x \ 1). L(x \ 1,x,y) * (L(x,x,y) * z) != u | L(z,L(x,x,y),x \ (a(y,x,x) * 1)) = u. L(x,L(y,y,z),y \ (a(z,y,y) * 1)) = L(x,y,y \ 1). L(x,L(y,y,z),L(y,y,z) \ 1) = L(x,y,y \ 1). x \ L(x,y,y \ 1) = a(L(y,y,z),L(y,y,z),x). a(L(x,x,y),L(x,x,y),z) = z \ L(z,x,x \ 1). x != y \ L(y,z,z \ 1) | a(z,z,y) = x. a(x,x,y) = a(L(x,x,z),L(x,x,z),y). a(L(x,x,y),L(x,x,y),z) = a(x,x,z). a(L(x,x,y),L(x,x,y),z) != u | a(L(x \ 1,x,y),L(x \ 1,x,y),z) = u. a(L(x \ 1,x,y),L(x \ 1,x,y),z) = a(x,x,z). x \ y != a(L(z,z,u),L(z,z,u),w) | x * a(z,z,w) = y. L(x,x,y) * a(x,x,z) = L(L(x,x,y),L(x,x,y),z). L(L(x,x,y),L(x,x,y),z) = L(x,x,y) * a(x,x,z). x \ y != a(L(z \ 1,z,u),L(z \ 1,z,u),w) | x * a(z,z,w) = y. L(x \ 1,x,y) * a(x,x,z) = L(L(x \ 1,x,y),L(x \ 1,x,y),z). L(L(x \ 1,x,y),L(x \ 1,x,y),z) = L(x \ 1,x,y) * a(x,x,z). x != y * a(z,z,u) | a(u,z,z) \ y = x. a(x,y,y) \ L(y,y,z) = L(L(y,y,z),L(y,y,z),x). L(L(x,x,y),L(x,x,y),z) = a(z,x,x) \ L(x,x,y). (a(x \ 1,y,y) \ L(y,y,z)) \ x = (L(y,y,z) \ 1) * x. (a(x,y,y \ 1) \ L(y,y,z)) \ x = (L(y,y,z) \ 1) * x. (L(x,x,y) * a(z,x,x)) \ z = (L(x,x,y) \ 1) * z. (L(x,x,y) * a(z,x,x)) \ z = L(x \ 1,x,y) * z. a(x,y,y) \ L(y \ 1,y,z) = L(L(y \ 1,y,z),L(y \ 1,y,z),x). L(L(x \ 1,x,y),L(x \ 1,x,y),z) = a(z,x,x) \ L(x \ 1,x,y). a(x,L(y \ 1,y,z),L(y \ 1,y,z)) = a(x,y,y). L(x,a(y,z,z),L(z \ 1,z,u) \ 1) = x. L(x,a(y,z,z),R(z,z \ 1,u \ 1)) = x. L(x,a(y,z,z),L(z,z,(u \ 1) \ 1)) = x. L(x,a(y,z,z),L(z,z,u)) = x. L(x \ (y \ z),x,y) != u | (y * x) \ z = u. (L(x,x,y) * a(z,x,x)) \ u = a(z,x,x) \ (L(x,x,y) \ u). (L(x,x,y) * a(z,x,x)) \ z != u | L(x \ 1,x,y) * z = u. L(x \ 1,x,y) * z = a(z,x,x) \ (L(x,x,y) \ z). a(x,y,y) \ (L(y,y,z) \ x) = L(y \ 1,y,z) * x. L(R(x,y,z) \ L(R(x,y,z),x,(u \ 1) / x),R(x,y,z),u) = a(x \ 1,R(x,y,z),(x \ 1) \ u). L(R(x,y,z) \ L(R(x,y,z),x,x \ (u \ 1)),R(x,y,z),u) = a(x \ 1,R(x,y,z),(x \ 1) \ u). L(R(x,y,z) \ L(R(x,y,z),x,u \ 1),R(x,y,z),u) = a(x \ 1,R(x,y,z),(x \ 1) \ u). L(a(x,x,R(y \ 1,z,u)),R(x,z,u),y) = a(x \ 1,R(x,z,u),(x \ 1) \ y). L(a(R(x,y,z),u,u),R(u,y,z),x) = a(u \ 1,R(u,y,z),(u \ 1) \ x). a(L(R(x,y,z),R(u,y,z),x),u,u) = a(u \ 1,R(u,y,z),(u \ 1) \ x). a(R(x,y,z),u,u) = a(u \ 1,R(u,y,z),(u \ 1) \ x). a(x \ 1,R(x,y,z),(x \ 1) \ u) = a(R(u,y,z),x,x). a(x,y,R(y,z,u)) = a(y \ 1,R(y,z,u),(y \ 1) \ x). a(x \ 1,R(x,y,z),(x \ 1) \ u) = a(u,x,R(x,y,z)). a(x \ 1,R(x,y,z),(x \ 1) * ((x \ 1) \ u)) = a(u,x,R(x,y,z)). a(x \ 1,R(x,y,z),u) = a(u,x,R(x,y,z)). (x \ 1) * (y * a(R(x,z,u) \ y,x,R(x,z,u))) = (x \ R(x,z,u)) * (R(x,z,u) \ y). (x \ 1) * (y * a(y,x,R(x,z,u))) = (x \ R(x,z,u)) * (R(x,z,u) \ y). (x \ R(x,y,z)) * (R(x,y,z) \ u) = (x \ 1) * (u * a(u,x,R(x,y,z))). (x \ R(x,y,z)) * (R(x,y,z) \ u) = (x \ 1) * L(u,x,R(x,y,z)). x != (y \ 1) * L(z,y,R(y,u,w)) | L((y \ 1) * z,y,R(y,u,w)) = x. L((x \ 1) * y,x,R(x,z,u)) = (x \ R(x,z,u)) * (R(x,z,u) \ y). (x \ R(x,y,z)) * (R(x,y,z) \ u) = L((x \ 1) * u,x,R(x,y,z)). x != L(y,z,R(z,u,w)) | L(y,z,L(z,u,w)) = x. L((x \ 1) * y,x,L(x,z,u)) = (x \ R(x,z,u)) * (R(x,z,u) \ y). (x \ R(x,y,z)) * (R(x,y,z) \ u) = L((x \ 1) * u,x,L(x,y,z)). ((x / R(y,z,u)) * y) * (y \ R(y,z,u)) = y * L((y \ 1) * x,y,L(y,z,u)). x != y * L(z,y,L(y,u,w)) | L(y * z,y,L(y,u,w)) = x. L(x * ((x \ 1) * y),x,L(x,z,u)) = ((y / R(x,z,u)) * x) * (x \ R(x,z,u)). ((x / R(y,z,u)) * y) * (y \ R(y,z,u)) = L(y * ((y \ 1) * x),y,L(y,z,u)). ((x / R(y,z,u)) * y) * (y \ R(y,z,u)) = L(L(x,y,y \ 1),y,L(y,z,u)). a(x,x \ R(x,y,z),x \ ((R(x,y,z) * (u \ 1)) * (x \ R(x,y,z)))) = u \ R(u,x,x \ R(x,y,z)). ((a(R(x,y,z),u,u) * x) \ 1) * a(x,a(x \ 1,u,R(u,y,z)),a(x \ 1,u,R(u,y,z))) = R(x \ 1,u,R(u,y,z)). ((a(x,y,R(y,z,u)) * x) \ 1) * a(x,a(x \ 1,y,R(y,z,u)),a(x \ 1,y,R(y,z,u))) = R(x \ 1,y,R(y,z,u)). (R(x,y,R(y,z,u)) \ 1) * a(x,a(x \ 1,y,R(y,z,u)),a(x \ 1,y,R(y,z,u))) = R(x \ 1,y,R(y,z,u)). (R(x,y,R(y,z,u)) \ 1) * a(x,a(y,y,R(x,z,u)),a(x \ 1,y,R(y,z,u))) = R(x \ 1,y,R(y,z,u)). (R(x,y,R(y,z,u)) \ 1) * a(x,a(y,y,R(x,z,u)),a(y,y,R(x,z,u))) = R(x \ 1,y,R(y,z,u)). (R(x,y,R(y,z,u)) \ 1) * 1 = R(x \ 1,y,R(y,z,u)). R(x,y,R(y,z,u)) \ 1 = R(x \ 1,y,R(y,z,u)). R(x \ 1,y,R(y,z,u)) = R(x,y,R(y,z,u)) \ 1. R(x \ 1,y,R(y,z,u)) = R(x,y,L(y,z,u)) \ 1. R(x \ 1,y,L(y,z,u)) = R(x,y,L(y,z,u)) \ 1. R(x \ 1,y,L(y,z,u)) = L(x,y,R(y,z,u)) \ 1. L(x \ 1,y,R(y,z,u)) = L(x,y,R(y,z,u)) \ 1. L(x \ 1,y,R(y,z,u)) = L(x,y,L(y,z,u)) \ 1. L(x \ 1,y,L(y,z,u)) = L(x,y,L(y,z,u)) \ 1. L(x,y,z) / (x * (u \ L(x,y,z))) = L((x * (u \ 1)) \ 1,x,L(x,y,z)). L((x * (y \ 1)) \ 1,x,L(x,z,u)) = L(x,z,u) / (x * (y \ L(x,z,u))). L(x * (y \ 1),y,L(y,z,u)) = L(y,z,u) / (y * (x \ L(y,z,u))). L(x,y,z) / (x * (u \ L(x,y,z))) = L(u * (x \ 1),x,L(x,y,z)). x / y != L(z,u,w) / (z * (v5 \ L(z,u,w))) | L(v5 * (z \ 1),z,L(z,u,w)) * y = x. L(x * (y \ 1),y,L(y,z,u)) * y = L(x,y \ L(y,z,u),y). L(x,y,L(y,z,u)) * y != w | L(x * y,y,L(y,z,u)) = w. L((x * (y \ 1)) * y,y,L(y,z,u)) = L(x,y \ L(y,z,u),y). L(L(x,y,y \ 1),y,L(y,z,u)) = L(x,y \ L(y,z,u),y). L(L(x,y,y \ 1),y,L(y,z,u)) != w | ((x / R(y,z,u)) * y) * (y \ R(y,z,u)) = w. ((x / R(y,z,u)) * y) * (y \ R(y,z,u)) = L(x,y \ L(y,z,u),y). x / L(x,y \ L(y,z,u),y) = a(y,y \ R(y,z,u),y \ x). a(x,x \ R(x,y,z),x \ u) = u / L(u,x \ L(x,y,z),x). x != y / L(y,z,u) | L(y,z,u) \ y = x. L(x,y \ L(y,z,u),y) \ x = a(y,y \ R(y,z,u),y \ x). a(x,x \ R(x,y,z),x \ u) = L(u,x \ L(x,y,z),x) \ u. ((x \ 1) * y) * R(((x \ 1) * y) \ L((x \ 1) * y,x,x),z,u) = ((y \ 1) * x) \ R(((x \ 1) * y) \ (x \ y),z,u). ((x \ 1) * y) * R(((x \ 1) * y) \ L((x \ 1) * y,x,x),z,u) = ((y \ 1) * x) \ R(a(y,x,x),z,u). ((x \ 1) * y) * R(((x \ 1) * y) \ L((x \ 1) * y,x,x),z,u) = ((y \ 1) * x) \ a(R(y,z,u),x,x). ((x \ 1) * y) * R(((x \ 1) * y) \ (x \ y),z,u) = ((y \ 1) * x) \ a(R(y,z,u),x,x). ((x \ 1) * y) * R(a(y,x,x),z,u) = ((y \ 1) * x) \ a(R(y,z,u),x,x). ((x \ 1) * y) \ a(R(x,z,u),y,y) = ((y \ 1) * x) * R(a(x,y,y),z,u). ((x \ 1) * y) \ a(R(x,z,u),y,y) = ((y \ 1) * x) * a(R(x,z,u),y,y). x != ((y \ 1) * z) * a(u,y,y) | L(y \ 1,y,u) * z = x. L(x \ 1,x,R(y,z,u)) * y = ((y \ 1) * x) \ a(R(y,z,u),x,x). ((x \ 1) * y) \ a(R(x,z,u),y,y) = L(y \ 1,y,R(x,z,u)) * x. ((x \ 1) * y) \ a(x,y,R(y,z,u)) = L(y \ 1,y,R(x,z,u)) * x. ((x \ 1) * y) \ a(x,y,R(y,z,u)) = L(y \ 1,y,L(x,z,u)) * x. ((x \ 1) * y) \ a(x,y,R(y,z,u)) != w | L(y \ 1,y,R(x,z,u)) * x = w. L(x \ 1,x,R(y,z,u)) * y = L(x \ 1,x,L(y,z,u)) * y. L(x * (((L(x,y,z) \ x) \ (L(x,y,z) \ 1)) * u),x,L(x,y,z)) = L(u,x \ 1,L(x,y,z) \ x). L(x * ((x \ 1) * y),x,L(x,z,u)) = L(y,x \ 1,L(x,z,u) \ x). L(L(x,y,y \ 1),y,L(y,z,u)) = L(x,y \ 1,L(y,z,u) \ y). L(L(x,y,y \ 1),y,L(y,z,u)) != w | L(x,y \ L(y,z,u),y) = w. L(x,y \ L(y,z,u),y) = L(x,y \ 1,L(y,z,u) \ y). L(x,y \ 1,L(y,z,u) \ y) = L(x,y \ L(y,z,u),y). R(x,(y \ 1) \ 1,(L(y,z,u) \ y) \ 1) \ x = x * L(x \ 1,y \ L(y,z,u),y). R(x,y,(L(y,z,u) \ y) \ 1) \ x = x * L(x \ 1,y \ L(y,z,u),y). R(x,y,y \ L(y,z,u)) \ x = x * L(x \ 1,y \ L(y,z,u),y). x * L(x \ 1,y \ L(y,z,u),y) = R(x,y,y \ L(y,z,u)) \ x. x * L(x \ 1,y \ L(y,z,u),y) = L(x,y \ L(y,z,u),y) \ x. (x \ y) * (a(x \ y,x,x \ 1) * R(a(x \ y,x,x \ 1) \ 1,z,u)) = a(y,x,x \ 1) * ((x \ y) * R(a(y,x,x \ 1) \ 1,z,u)). (x \ y) * (a(x \ y,x,x \ 1) * R(a(x \ y,x,x \ 1) \ 1,z,u)) = a(y,x,x \ 1) * ((x \ y) * R(a(y,x,x),z,u)). (x \ y) * (a(x \ y,x,x \ 1) * R(a(x \ y,x,x \ 1) \ 1,z,u)) = a(y,x,x \ 1) * ((x \ y) * a(R(y,z,u),x,x)). (x \ y) * (a(x \ y,x,x \ 1) * R(a(x \ y,x,x \ 1) \ 1,z,u)) = a(y,x,x \ 1) * (L(x,x,R(y,z,u)) \ y). x != a(y,z,z \ 1) * u | a(y,z,z) \ u = x. a(x,y,y) \ (L(y,y,R(x,z,u)) \ x) = (y \ x) * (a(y \ x,y,y \ 1) * R(a(y \ x,y,y \ 1) \ 1,z,u)). (x \ y) * (a(x \ y,x,x \ 1) * R(a(x \ y,x,x \ 1) \ 1,z,u)) = a(y,x,x) \ (L(x,x,R(y,z,u)) \ y). x != a(y,z,z) \ (L(z,z,u) \ y) | L(z \ 1,z,u) * y = x. L(x \ 1,x,R(y,z,u)) * y = (x \ y) * (a(x \ y,x,x \ 1) * R(a(x \ y,x,x \ 1) \ 1,z,u)). (x \ y) * (a(x \ y,x,x \ 1) * R(a(x \ y,x,x \ 1) \ 1,z,u)) = L(x \ 1,x,R(y,z,u)) * y. (x \ y) * (a(y,x,x \ 1) * R(a(x \ y,x,x \ 1) \ 1,z,u)) = L(x \ 1,x,R(y,z,u)) * y. (x \ y) * (a(y,x,x \ 1) * R(a(y,x,x \ 1) \ 1,z,u)) = L(x \ 1,x,R(y,z,u)) * y. (x \ y) * a(a(y,x,x),z,u) = L(x \ 1,x,R(y,z,u)) * y. L(x \ 1,x,R(y,z,u)) * y = (x \ y) * a(a(y,x,x),z,u). L(x \ 1,x,R(y,z,u)) * y != w | L(x \ 1,x,L(y,z,u)) * y = w. L(x \ 1,x,L(y,z,u)) * y = (x \ y) * a(a(y,x,x),z,u). L(x \ 1,x,y) * z != u | (x \ 1) * (z * a(y,x,x)) = u. (x \ 1) * (y * a(L(y,z,u),x,x)) = (x \ y) * a(a(y,x,x),z,u). (x \ 1) * (y * a(y,x,L(x,z,u))) = (x \ y) * a(a(y,x,x),z,u). (x \ 1) * L(y,x,L(x,z,u)) = (x \ y) * a(a(y,x,x),z,u). (x \ 1) * L(y,x,L(x,z,u)) != w | L((x \ 1) * y,x,L(x,z,u)) = w. L((x \ 1) * y,x,L(x,z,u)) = (x \ y) * a(a(y,x,x),z,u). x \ (y * L((y \ 1) * x,y,L(y,z,u))) = L(a(a(x,y,y),z,u),y \ x,y). x \ L(y * ((y \ 1) * x),y,L(y,z,u)) = L(a(a(x,y,y),z,u),y \ x,y). x \ L(L(x,y,y \ 1),y,L(y,z,u)) = L(a(a(x,y,y),z,u),y \ x,y). x \ L(x,y \ L(y,z,u),y) = L(a(a(x,y,y),z,u),y \ x,y). L(a(a(x,y,y),z,u),y \ x,y) = x \ L(x,y \ L(y,z,u),y). L(a(a(x,y,z),u,w),v5,v6) != v7 | a(a(x,y,L(z,v5,v6)),u,w) = v7. a(a(x,y,L(y,y \ x,y)),z,u) = x \ L(x,y \ L(y,z,u),y). a(a(x,y,y),z,u) = x \ L(x,y \ L(y,z,u),y). x \ L(x,y \ L(y,z,u),y) = a(a(x,y,y),z,u). x * L(x \ 1,y \ L(y,z,u),y) = a(a(x \ 1,y,y),z,u). x * L(x \ 1,y \ L(y,z,u),y) = a(a(y,y,x),z,u). x * L(x \ 1,y \ L(y,z,u),y) != w | L(x,y \ L(y,z,u),y) \ x = w. L(x,y \ L(y,z,u),y) \ x = a(a(y,y,x),z,u). L(x,y \ L(y,z,u),y) \ x != w | a(y,y \ R(y,z,u),y \ x) = w. a(x,x \ R(x,y,z),x \ u) = a(a(x,x,u),y,z). a(x,x \ R(x,y,z),x \ ((R(x,y,z) * (u \ 1)) * (x \ R(x,y,z)))) != w | u \ R(u,x,x \ R(x,y,z)) = w. x \ R(x,y,y \ R(y,z,u)) = a(a(y,y,(R(y,z,u) * (x \ 1)) * (y \ R(y,z,u))),z,u). a(a(x,x,(R(x,y,z) * (u \ 1)) * (x \ R(x,y,z))),y,z) = u \ R(u,x,x \ R(x,y,z)). a(a(x,x,R(x,y,z) * (R(x,y,z) * (u \ 1))),y,z) = u \ R(u,x,x \ R(x,y,z)). a(a(x,x,R(x,y,z) * (u \ 1)),y,z) = u \ R(u,x,x \ R(x,y,z)). a(a(x,x,y \ 1),z,u) = y \ R(y,x,x \ R(x,z,u)). x \ R(x,y,y \ R(y,z,u)) = a(a(y,y,x \ 1),z,u). x \ R(x,y,y \ R(y,z,u)) = a(a(x,y,y),z,u). L(a(a(x,y,y),z,u),x,R(y,z,u)) = a(x,y,a(u,z,z \ (((z * u) * (y \ 1)) * u))). a(x,y,a(z,u,u \ (((u * z) * (y \ 1)) * z))) = a(a(x,y,y),u,z). a(x \ (y \ R(x,z,u)),x,a(u,z,z \ (((z * u) * (x \ 1)) * u))) != w | a(x \ R(x,z,u),x,y) = w. a(x \ R(x,y,z),x,u) = a(a(x \ (u \ R(x,y,z)),x,x),y,z). a(a(x \ (y \ R(x,z,u)),x,x),z,u) = a(x \ R(x,z,u),x,y). a(a(x \ R(y,z,u),y,y),z,u) = a(y \ R(y,z,u),y,x). a(a(x,x,y),z,u) = a(x \ R(x,z,u),x,y). a(x \ R(x,y,z),x,u) = a(a(x,x,u),y,z). a(x,x \ R(x,y,z),u) = a(a(x,x,u),y,z). a(x \ 1,x * R(x \ 1,y,z),u) = a(a(x \ 1,x \ 1,u),y,z). a(x \ 1,x * R(x \ 1,y,z),u) = a(a(x,x,u),y,z). a(x,y,z \ x) != u | a(z,y,x) = u. a(x,y * R(y \ 1,z,u),y \ 1) = a(a(y,y,x \ (y \ 1)),z,u). a(x \ 1,a(y,z,x),u) = a(a(x,x,u),z,y). a(x \ 1,a(y,z,x),u) != w | a(u,x,a(y,z,x)) = w. a(x,y,a(z,u,y)) = a(a(y,y,x),u,z). a(a(x,x,y),z,u) = a(y,x,a(u,z,x)). a(a(x,x,y),z,u \ z) != w | a(a(y,x,x),z,z \ u) = w. a(a(x,y,y),z,z \ u) = a(x,y,a(u \ z,z,y)). a(x,y * R(y \ 1,z,u),y \ 1) = a(a(x,y,y),z,u). a(x,a(y,z,u),u \ 1) = a(a(x,u,u),z,y). a(x,a(y,z,x),u) = a(a(u,x,x),z,y). a(a(x,y,y),z,u) = a(y,a(u,z,y),x). a(a(x,y,y),z,z \ u) != w | a(x,y,a(u \ z,z,y)) = w. a(x,y,a(z \ u,u,y)) = a(y,a(u \ z,u,y),x). a(x,a(y \ z,y,x),u) = a(u,x,a(z \ y,y,x)). a(x,a(y,z,x),u) = a(u,x,a((z * y) \ z,z,x)). a(x,y,a((z * u) \ z,z,y)) = a(y,a(u,z,y),x). a(x,y,a(z \ (z / u),z,y)) = a(y,a(u,z,y),x). a(x,y,a(y,z,u)) = a(y,a(u,z,y),x). a(x,a(y,z,x),u) = a(u,x,a(x,z,y)). a(x,a(y,z,x),u) != w | a(a(u,x,x),z,y) = w. a(a(x,y,y),z,u) = a(x,y,a(y,z,u)). x != a(y,z,a(z,u,w)) | 1 = x. 1 = a(a(x,y,y),z,u). a(a(x,y,y),z,u) = 1. a(x,y,a(z,u,u)) = 1. a(a(x,y,y),z,u) != w | a(u,z,a(y,y,x)) = w. a(x,y,a(z,z,u)) = 1. L(x,y,a(z,u,u)) = x. a(x,y,a(z,u,u)) != w | (x * (y * a(z,u,u))) \ (a(z,u,u) * (x * y)) = w. (x * (y * a(z,u,u))) \ (a(z,u,u) * (x * y)) = 1. L(a(x,y,y),z,u) = a(x,y,y). L(a(x,x,y),z,u) = a(x,x,y). R(x,y,a(z,u,u)) = x. (a(x,y,y) * z) \ u = z \ (a(x,y,y) \ u). x \ y != L(z,u,a(w,v5,v5)) | y / z = x. x / y = a(z,u,u) * ((a(z,u,u) \ x) / y). a(x,y,y) * ((a(x,y,y) \ z) / u) = z / u. x \ y != L(z,u,a(w,v5,v5)) | x * z = y. (a(x,y,y) * z) * u = a(x,y,y) * (z * u). x * (y * a(z,u,u)) = (x * y) * a(z,u,u). (x * y) * a(z,u,u) = x * (y * a(z,u,u)). L(x,y,a(z,z,u)) = x. R(x,y,a(z,u,u)) != w | x = w. x \ (y * a(z,u,u)) = (x \ y) * a(z,u,u). L((x \ 1) * y,x,y) != z | x \ y = z. x \ a(y,y,z) = (x \ 1) * a(y,y,z). (x \ 1) * a(y,y,z) = x \ a(y,y,z). (a(x,x,y) * z) \ u = z \ (a(x,x,y) \ u). x \ y != L(z,u,a(w,w,v5)) | y / z = x. x / (y \ (a(z,z,u) \ x)) = a(z,z,u) * y. x \ y != L(z,u,a(w,w,v5)) | x * z = y. (a(x,x,y) * z) * u = a(x,x,y) * (z * u). L(x,y,a(z,z,u)) != w | x = w. (a(x,x,y) * z) * u != w | a(x,x,y) * (z * u) = w. x * (y * a(z,z,u)) = (x * y) * a(z,z,u). (x * y) * a(z,z,u) = x * (y * a(z,z,u)). x \ y != L(a(z,u,u),w,v5) | y / a(z,u,u) = x. (x * y) / a(z,u,u) = x * (y / a(z,u,u)). R(a(x,x,y),z,u) = a(x,x,y). a(x,x,L(y,z,u)) = a(x,x,y). a(x,x,y) \ (z * u) = (a(x,x,y) \ z) * u. a(x,x,y) * (z \ 1) = z \ a(x,x,y). (x * a(y,z,z)) \ u = x \ (a(y,z,z) \ u). a(x,y,y) \ (z / u) = (a(x,y,y) \ z) / u. (a(x,y,y) \ z) / u = a(x,y,y) \ (z / u). (x * a(y,z,z)) * u = a(y,z,z) * (x * u). R((x / a(y,z,z)) / (u * w),u * w,a(y,z,z)) = x / (u * (w * a(y,z,z))). x / (y \ (x / a(z,z,u))) = a(z,z,u) * y. a(x,a(y,y,z) * u,w) = (x * (a(y,y,z) * (u * w))) \ ((x * (a(y,y,z) * u)) * w). (x * (a(y,y,z) * (u * w))) \ ((x * (a(y,y,z) * u)) * w) = a(x,a(y,y,z) * u,w). L(x,y,a(z,z,u) * w) = (a(z,z,u) * (w * y)) \ ((a(z,z,u) * w) * (y * x)). (a(x,x,y) * (z * u)) \ ((a(x,x,y) * z) * (u * w)) = L(w,u,a(x,x,y) * z). (x * (a(y,y,z) * u)) \ (x * (a(y,y,z) * (u * w))) != v5 | L(w,a(y,y,z) * u,x) = v5. (a(x,x,y) * (z * u)) * (u \ 1) = L(a(x,x,y) * z,u,u \ 1). (x \ a(y,y,z)) * u = a(y,y,z) * ((x \ 1) * u). a(x,x,y) * ((z \ 1) * u) = (z \ a(x,x,y)) * u. ((x * y) * (y \ z)) * a(u,u,w) = x * ((z * a(x,y,y \ z)) * a(u,u,w)). x * ((y * a(x,z,z \ y)) * a(u,u,w)) = ((x * z) * (z \ y)) * a(u,u,w). T(x,y * (z * a(u,u,w))) = T(x,y * z). T(x,y * (z \ u)) = T(x,y * (L(z,z,w) \ u)). T(x,y * (L(z,z,u) \ w)) = T(x,y * (z \ w)). a(x,y,y) \ (z * u) = z * (u / a(x,y,y)). (a(x,x,y) \ z) * u != a(x,x,y) \ w | z * u = w. a(x,x,y) \ z != (a(x,x,y) \ u) * w | u * w = z. (x * (y * a(z,u,u))) \ (a(z,u,u) * (x * y)) = a(x,a(z,u,u),y). (x * a(y,y,z)) / (u \ x) = a(y,y,z) * u. a(x,y,y) \ (z * u) = z * (a(x,y,y) \ u). (T(x,y) * a(z,z,u)) / y = a(z,z,u) * (y \ x). a(x,y,y) * z = u * (a(x,y,y) * (u \ z)). x * (a(y,z,z) * (x \ u)) = a(y,z,z) * u. x \ y = a(z,u,u) * (x \ (a(z,u,u) \ y)). a(x,y,y) * (z \ (a(x,y,y) \ u)) = z \ u. T(x,y * ((z \ 1) * u)) = T(x,y * (z \ u)). T(x,y * ((z \ 1) * u)) != w | T(x,((u \ 1) * z) \ y) = w. T(x,((y \ 1) * z) \ u) = T(x,u * (z \ y)). T(x,(y * y) * (z * u)) != w | T(x,y * (y * (u * z))) = w. T(x,y * (y * (z * (u \ 1)))) = T(x,(y * y) * (u \ z)). T(x,a((y / z) \ 1,u,w) * (((z \ y) \ 1) * (u * w))) != v5 | T(x,w * (((z \ y) \ 1) * u)) = v5. T(x,y * (((z \ u) \ 1) * w)) = T(x,a((u / z) \ 1,w,y) * ((z \ u) \ (w * y))). T(x,a((y / z) \ 1,u,w) * ((z \ y) \ (u * w))) = T(x,w * (((z \ y) \ 1) * u)). T(x,y * (z * u)) = T(x,y * ((z \ 1) \ u)). T(x,y * ((z \ 1) \ u)) = T(x,y * (z * u)). T(x,(y * z) \ u) = T(x,u * (z \ (y \ 1))). T(x,y * (z \ (u \ 1))) = T(x,(u * z) \ y). T(x,y \ ((z \ 1) \ u)) = T(x,(y \ 1) * (z * u)). T(x,y * (z \ ((u \ w) \ 1))) != v5 | T(x,y * (z \ (w \ u))) = v5. T(x,y * (z \ (u \ w))) = T(x,((w \ u) * z) \ y). T(x,((y \ z) * u) \ w) = T(x,w * (u \ (z \ y))). a(x,x,y) * L(z,u,u \ 1) = (u \ a(x,x,y)) * (u * z). T(a(x,x,y) * z,u) / u = a(x,x,y) * (u \ z). x != T(y,(z \ 1) * u) | T(y,z \ u) = x. T(x,y \ (z * u)) = T(x,y \ ((z \ 1) \ u)). T(x,y \ ((z \ 1) \ u)) = T(x,y \ (z * u)). T(x,(y \ z) \ u) != w | T(x,u * (z \ y)) = w. T(x,((y \ 1) \ z) * (u \ w)) = T(x,(w \ u) \ (y * z)). T(x,y \ (z \ u)) = T(x,y \ ((z \ 1) * u)). T(x,y \ ((z \ 1) * u)) = T(x,y \ (z \ u)). T(x \ y,z \ (u * w)) * T(x,z \ ((u \ 1) \ w)) = T(y,x * (z \ ((u \ 1) \ w))). T(x,L(T(y,z),z,u \ 1)) = T(x,((u \ 1) * z) \ (u \ (y * z))). T(x,((y \ 1) * z) \ (y \ (u * z))) = T(x,L(T(u,z),z,y \ 1)). T(x,(y * (z \ u)) \ w) = T(x,w * (y \ (u \ z))). x \ (a(y,y,z) * u) = a(y,y,z) * (x \ u). x \ y = a(z,z,u) * (x \ (a(z,z,u) \ y)). a(x,x,y) * (z \ (a(x,x,y) \ u)) = z \ u. x \ (y * a(z,z,u)) = a(z,z,u) * (x \ y). a(x,x,y) \ (z \ u) = z \ (a(x,x,y) \ u). a(x,x,y) \ L(z,u,w) = (w * u) \ (a(x,x,y) \ (w * (u * z))). (x * y) \ (a(z,z,u) \ (x * (y * w))) = a(z,z,u) \ L(w,y,x). a(x,x,y) * (z \ (L(u * a(x,x,y),w,v5) / a(x,x,y))) = z \ L(a(x,x,y) * u,w,v5). a(x,x,y) * (z \ ((a(x,x,y) \ 1) * L(u / (a(x,x,y) \ 1),w,v5))) = z \ L(u * a(x,x,y),w,v5). a(x,x,y) * (z \ u) != z \ w | u * a(x,x,y) = w. x \ y != a(z,z,u) * (x \ w) | w * a(z,z,u) = y. x != y \ (a(z,z,u) \ w) | (a(z,z,u) * y) \ w = x. (a(x,x,y) * z) \ u = a(x,x,y) \ (z \ u). a(x,x,y) * (z \ (a(x,x,y) \ u)) != w | w = z \ u. a(x,x,y) * (z \ (a(x,x,y) \ u)) != w | z \ u = w. L(x \ (a(y,y,z) \ (u \ w)),x,u) = (u * x) \ (a(y,y,z) \ w). x \ y != a(z,z,u) \ w | y / (w * a(u,z,z)) = x. x / ((y \ x) * a(z,u,u)) = a(u,u,z) * y. (x * a(y,y,z)) \ u = a(y,y,z) \ (x \ u). a(x,x,y) * z != u / w | (z \ u) * a(y,x,x) = w. x / y != a(z,z,u) * w | (w \ x) * a(u,z,z) = y. x / (y * a(z,z,u)) = a(z,z,u) \ (y \ T(x,(y * a(z,z,u)) \ 1)). a(x,x,y) \ (z \ T(u,(z * a(x,x,y)) \ 1)) = u / (z * a(x,x,y)). T(x,(y * (z \ u)) \ w) != v5 | T(x,(y * (u / z)) \ w) = v5. T(x,(y * (z / u)) \ w) = T(x,w * (y \ (z \ u))). T(x,((y \ z) * u) \ w) != v5 | T(x,w * (u \ (z \ y))) = v5. T(x,y * ((z / u) \ (w \ v5))) = T(x,y * ((v5 \ w) \ (z \ u))). T(x,y * ((z \ u) \ (w \ v5))) = T(x,y * ((w / v5) \ (u \ z))). x != T(y,(z * z) * (u \ w)) | T(y,z * ((w \ u) \ z)) = x. T(x,y * ((z \ u) \ y)) = T(x,y * (y * (z * (u \ 1)))). T(x,y * (y * (z * (u \ 1)))) = T(x,y * ((z \ u) \ y)). x != T(y,(z \ u) \ w) | T(y,w * (u \ z)) = x. T(x,(y * z) * (u \ w)) = T(x,((y \ 1) \ z) * (u \ w)). T(x,((y \ 1) \ z) * (u \ w)) = T(x,(y * z) * (u \ w)). T(x,y * (y * (z * (u \ 1)))) != w | T(x,((y \ 1) \ z) * (u \ y)) = w. T(x,((y \ 1) \ z) * (u \ y)) = T(x,y * ((z \ u) \ y)). T(x,((y \ 1) \ z) * (u \ w)) != v5 | T(x,(y * z) * (u \ w)) = v5. T(x,(y * z) * (u \ y)) = T(x,y * ((z \ u) \ y)). x != T(y,z * ((u \ w) \ z)) | T(y,z * (z * (w \ u))) = x. T(x,y * (y * (z \ u))) = T(x,(y * u) * (z \ y)). T(x,(y * z) * (u \ y)) = T(x,y * (y * (u \ z))). T(x,y * (z \ u)) = T(x,u * (u * (z \ (u \ y)))). T(x,y * (y * (z \ (y \ u)))) = T(x,u * (z \ y)). T(T(x,y * y),z) != u | T(x,y * (y * z)) = u. T(x,y * (y * (z * (z * (u \ (z \ w)))))) = T(T(x,y * y),w * (u \ z)). T(x,y * y) = T(x,z * ((y \ z) \ y)). T(x,y * ((z \ y) \ z)) = T(x,z * z). T(x,(y * z) * ((y * z) * (u \ (z \ (y \ 1))))) = T(x,a(z,z,y) * (u \ (y * z))). T(x,y * ((y \ z) * z)) = T(x,z * z). T(x,L(y,z,z) * (z * (y / (z \ 1)))) = T(x,(y / (z \ 1)) * (y / (z \ 1))). a(x,x,y) * ((z * u) * (u \ 1)) = L(a(x,x,y) * z,u,u \ 1). a(x,x,y) * L(z,u,u \ 1) = L(a(x,x,y) * z,u,u \ 1). L(a(x,x,y) * z,u,u \ 1) = a(x,x,y) * L(z,u,u \ 1). x != a(y,y,z) * L(u,w,w \ 1) | (w \ a(y,y,z)) * (w * u) = x. (x \ a(y,y,z)) * (x * u) = L(a(y,y,z) * u,x,x \ 1). L(a(x,x,y) * z,u,u \ 1) = (u \ a(x,x,y)) * (u * z). (x * (y * a(z,u,u))) \ (a(z,u,u) * (x * y)) != w | 1 = w. 1 = a(x,a(y,z,z),u). a(x,a(y,z,z),u) = 1. L(x,a(y,z,z),u) = x. R(x,a(y,z,z),u) = x. x \ y != L(z,a(u,w,w),v5) | x * z = y. (x * a(y,z,z)) * u = x * (a(y,z,z) * u). L(x,a(y,y,z),u) = x. x != R(y,a(z,u,u),w) | x = y. R(x,a(y,z,z),u) != w | w = x. x \ y != L(z,a(u,u,w),v5) | x * z = y. (x * a(y,y,z)) * u = x * (a(y,y,z) * u). a(x,y * a(z,z,u),w) = (x * (y * (a(z,z,u) * w))) \ ((x * (y * a(z,z,u))) * w). (x * (y * (a(z,z,u) * w))) \ ((x * (y * a(z,z,u))) * w) = a(x,y * a(z,z,u),w). L(x,y,z * a(u,u,w)) = (z * (a(u,u,w) * y)) \ ((z * a(u,u,w)) * (y * x)). (x * (a(y,y,z) * u)) \ ((x * a(y,y,z)) * (u * w)) = L(w,u,x * a(y,y,z)). R(x * a(y,y,z),u,w) = ((x * (a(y,y,z) * u)) * w) / (u * w). ((x * (a(y,y,z) * u)) * w) / (u * w) = R(x * a(y,y,z),u,w). (x \ a(y,y,z)) * u = (x \ 1) * (a(y,y,z) * u). (x \ 1) * (a(y,y,z) * u) = (x \ a(y,y,z)) * u. (x * (y * a(z,z,u))) * w = (x * y) * (a(z,z,u) * w). x * ((x \ a(y,y,z)) * u) = L(a(y,y,z) * u,x,x \ 1). L(a(x,x,y) * z,u,u \ 1) = u * ((u \ a(x,x,y)) * z). (x * (a(y,y,z) * u)) * w = (x * u) * (a(y,y,z) * w). L(a(x,x,y) * z,u,u \ 1) != w | (u \ a(x,x,y)) * (u * z) = w. (x \ a(y,y,z)) * (x * u) = x * ((x \ a(y,y,z)) * u). L(x * a(y,y,z),u,u \ 1) = u * ((u \ a(y,y,z)) * x). x / (y * (x \ (x / (a(z,z,u) * y)))) = R(x * a(z,z,u),y,x \ (x / (a(z,z,u) * y))). R(x * a(y,y,z),u,x \ (x / (a(y,y,z) * u))) = x / (u * (x \ (x / (a(y,y,z) * u)))). a(x,x,y) \ (z \ T(u,a(x,x,y) \ (z \ 1))) = u / (z * a(x,x,y)). a(x,x,y) \ (z \ T(u,z \ 1)) = u / (z * a(x,x,y)). a(x,x,y) \ (z / u) = z / (u * a(x,x,y)). x / (y * a(z,z,u)) = a(z,z,u) \ (x / y). x / (a(y,y,z) * u) = a(y,y,z) \ (x / u). x != T(T(y,z * z),u) | T(y,z * (z * u)) = x. T(x,y * (y * (z * (u \ w)))) = T(x,y * (y * (w * (w * (u \ (w \ z)))))). T(x,y * (y * (z * (z * (u \ (z \ w)))))) = T(x,y * (y * (w * (u \ z)))). x != (y * z) * a(u,u,w) | y * (z * a(u,u,w)) = x. (x * y) * ((y \ z) * a(u,u,w)) = x * ((z * a(x,y,y \ z)) * a(u,u,w)). x * ((y * a(x,z,z \ y)) * a(u,u,w)) = (x * z) * ((z \ y) * a(u,u,w)). T(x,L(y,z,z) * (z * ((z \ 1) \ y))) = T(x,(y / (z \ 1)) * (y / (z \ 1))). x * (y * (a(x,z,z \ y) * a(u,u,w))) = (x * z) * ((z \ y) * a(u,u,w)). T(x,L(y,z,z) * (z * ((z \ 1) \ y))) != u | T(x,(y / (z \ 1)) * (y / (z \ 1))) = u. x * (y * (a(x,x,y) * a(z,z,u))) = (x * x) * ((x \ y) * a(z,z,u)). R((a(x,y,y) \ z) / (u * w),u * w,a(x,y,y)) = z / (u * (w * a(x,y,y))). (a(x,x,y) * (z * u)) \ (a(x,x,y) * (z * (u * w))) = L(w,u,a(x,x,y) * z). (x * (a(y,y,z) * u)) \ (x * (a(y,y,z) * (u * w))) = L(w,u,x * a(y,y,z)). R(a(x,y,y) \ (z / (u * w)),u * w,a(x,y,y)) = z / (u * (w * a(x,y,y))). L(L(x,y,z),z * y,a(u,u,w)) = L(x,y,a(u,u,w) * z). L(x,y,z) = L(x,y,a(u,u,w) * z). L(x,y,a(z,z,u) * w) = L(x,y,w). L(x,y,z * a(u,u,w)) = L(x,y,z). L(x,y,z \ u) = L(x,y,z \ (a(w,w,v5) \ u)). L(x,y,z \ (a(u,u,w) \ v5)) = L(x,y,z \ v5). x / (y * (z * a(u,w,w))) != v5 | a(u,w,w) \ (x / (y * z)) = v5. T(x,((y \ z) \ (u * w)) * a((z / y) \ 1,u,w)) = T(x,w * (((y \ z) \ 1) * u)). x != T(y,a(z,z,u) * w) | T(y,w) = x. T(x,y \ (z * u)) = T(x,(z * u) * ((z * u) * (y \ (u \ (z \ 1))))). T(x,(y * z) * ((y * z) * (u \ (z \ (y \ 1))))) = T(x,u \ (y * z)). x != T(y,z * ((u \ 1) * w)) | T(y,z * (u \ w)) = x. T(x,y * ((z \ u) \ w)) = T(x,((z \ u) \ (w * y)) * a((u / z) \ 1,w,y)). T(x,((y \ z) \ (u * w)) * a((z / y) \ 1,u,w)) = T(x,w * ((y \ z) \ u)). T(x \ y,z \ (u * w)) * T(x,z \ (u * w)) = T(y,x * (z \ ((u \ 1) \ w))). T(x,y * (z \ (u * w))) = T(x,y * (z \ ((u \ 1) \ w))). T(x,y * (z \ ((u \ 1) \ w))) = T(x,y * (z \ (u * w))). T(x,y * ((z \ u) \ (w \ v5))) != v6 | T(x,y * ((w / v5) \ (u \ z))) = v6. T(x,y * (((z \ 1) / u) \ (w \ v5))) = T(x,y * ((v5 \ w) \ (z * u))). (x * (y * (a(z,z,u) * w))) \ ((x * y) * (a(z,z,u) * w)) = a(x,y * a(z,z,u),w). a(x,y,a(z,z,u) * w) = a(x,y * a(z,z,u),w). a(x,y * a(z,z,u),w) = a(x,y,a(z,z,u) * w). a(x,a(y,y,z) * u,w) = a(x,u,a(y,y,z) * w). a(x,a(y,y,z) * u,w) != v5 | (x * (a(y,y,z) * (u * w))) \ ((x * (a(y,y,z) * u)) * w) = v5. (x * (a(y,y,z) * (u * w))) \ ((x * (a(y,y,z) * u)) * w) = a(x,u,a(y,y,z) * w). (x * (a(y,y,z) * (u * w))) \ ((x * u) * (a(y,y,z) * w)) = a(x,u,a(y,y,z) * w). L(x,a(y,y,z) * u,w) = L(x,u,w * a(y,y,z)). (x * (a(y,y,z) * u)) \ w = L((a(y,y,z) * u) \ (x \ w),u,x * a(y,y,z)). L((a(x,x,y) * z) \ (u \ w),z,u * a(x,x,y)) = (u * (a(x,x,y) * z)) \ w. L(x \ (a(y,y,z) \ (u \ w)),x,u * a(y,y,z)) = (u * (a(y,y,z) * x)) \ w. L(x,y,z * a(u,u,w)) != v5 | L(x,y,z) = v5. L(x \ (a(y,y,z) \ (u \ w)),x,u) = (u * (a(y,y,z) * x)) \ w. L(x \ (a(y,y,z) \ (u \ w)),x,u) != v5 | (u * x) \ (a(y,y,z) \ w) = v5. (x * y) \ (a(z,z,u) \ w) = (x * (a(z,z,u) * y)) \ w. (x * (a(y,y,z) * u)) \ w = (x * u) \ (a(y,y,z) \ w). (x * (a(y,y,z) * (u * w))) \ ((x * u) * (a(y,y,z) * w)) != v5 | a(x,u,a(y,y,z) * w) = v5. a(x,y,a(z,z,u) * w) = (x * (y * w)) \ (a(z,z,u) \ ((x * y) * (a(z,z,u) * w))). (x * (y * z)) \ (a(u,u,w) \ ((x * y) * (a(u,u,w) * z))) = a(x,y,a(u,u,w) * z). a(x,x,y) \ (z * (a(x,x,y) * u)) = z * u. a(x,x,y) \ (z * u) = z * (a(x,x,y) \ u). x * (a(y,y,z) \ u) = (a(y,y,z) \ x) * u. (a(x,x,y) \ z) * u = z * (a(x,x,y) \ u). x * (a(y,y,z) \ u) != a(y,y,z) \ w | x * u = w. a(x,x,y) \ z != u * (a(x,x,y) \ w) | u * w = z. (x * y) \ (x * (a(z,z,u) \ (y * w))) = a(z,z,u) \ L(w,y,x). x / (a(y,y,z) \ u) = a(y,y,z) * (x / u). (x * y) \ (x * (y * (a(z,z,u) \ w))) = a(z,z,u) \ L(w,y,x). L(a(x,x,y) \ z,u,w) = a(x,x,y) \ L(z,u,w). L(x,y,z) / (u \ L(a(w,w,v5) \ x,y,z)) = a(w,w,v5) * u. L(x,y,z) / (u \ L(x * a(w,v5,v5),y,z)) = a(v5,v5,w) * u. (x \ L(y,z,u)) * a(w,v5,v5) = x \ L(y * a(w,v5,v5),z,u). x \ L(y * a(z,u,u),w,v5) = (x \ L(y,w,v5)) * a(z,u,u). x \ L(a(y,z,z) * u,w,v5) = (x \ L(u,w,v5)) * a(y,z,z). L(x,y,z) * a(u,w,w) = L(a(u,w,w) * x,y,z). L(a(x,y,y) * z,u,w) = L(z,u,w) * a(x,y,y). x != y * a(z,u,u) | a(z,u,u) * y = x. a(x,y,y) * L(z,u,w) = L(a(x,y,y) * z,u,w). L(a(x,y,y) * z,u,w) = a(x,y,y) * L(z,u,w). x != a(y,z,z) * L(z,z,y) | z = x. x = L(a(y,x,x) * x,x,y). L(a(x,y,y) * y,y,x) = y. L(x,y,z) = a(u,w,w) * L(a(u,w,w) \ x,y,z). a(x,y,y) * L(a(x,y,y) \ z,u,w) = L(z,u,w). L(x * a(y,x,x),x,y) = x. x * L(L(x * a(y,x,x),x,y) \ 1,z,u) = L((x * a(y,x,x)) * L((x * a(y,x,x)) \ 1,z,u),x,y). L((x * a(y,x,x)) * L((x * a(y,x,x)) \ 1,z,u),x,y) = x * L(L(x * a(y,x,x),x,y) \ 1,z,u). a(x,y,y) \ L(z,u,w) = L(a(x,y,y) \ z,u,w). L(a(x,y,y) \ z,u,w) = a(x,y,y) \ L(z,u,w). (x * (y * z)) \ ((x * y) * z) = a(x,y,a(u,u,w) * z). a(x,y,a(z,z,u) * w) = (x * (y * w)) \ ((x * y) * w). a(x,y,z) = a(x,y,a(u,u,w) * z). a(x,y,a(z,z,u) * w) = a(x,y,w). a(x,y,(z * z) * u) = a(x,y,z * (z * u)). a(x,x,y) * (z \ (a(x,x,y) \ L(u * a(x,x,y),w,v5))) = z \ L(a(x,x,y) * u,w,v5). R(x * a(y,y,z),u,x \ (a(y,y,z) \ (x / u))) = x / (u * (x \ (x / (a(y,y,z) * u)))). x \ L(y * a(z,z,u),w,v5) = x \ L(a(z,z,u) * y,w,v5). x \ L(a(y,y,z) * u,w,v5) = x \ L(u * a(y,y,z),w,v5). R(x * a(y,y,z),u,x \ (a(y,y,z) \ (x / u))) = x / (u * (x \ (a(y,y,z) \ (x / u)))). L(x * a(y,y,z),u,x \ (a(y,y,z) \ (x / u))) = x / (u * (x \ (a(y,y,z) \ (x / u)))). L(x,y,z \ (a(u,u,w) \ v5)) != v6 | L(x,y,z \ v5) = v6. L(x * a(y,y,z),u,x \ (x / u)) = x / (u * (x \ (a(y,y,z) \ (x / u)))). x / (y * (x \ (a(z,z,u) \ (x / y)))) = L(x * a(z,z,u),y,x \ (x / y)). x / (y * (x \ ((x / y) * a(z,u,u)))) = L(x * a(u,u,z),y,x \ (x / y)). x / (y * ((x \ (x / y)) * a(z,u,u))) = L(x * a(u,u,z),y,x \ (x / y)). a(x,y,y) \ (z / (u * (z \ (z / u)))) = L(z * a(y,y,x),u,z \ (z / u)). a(x,y,y) \ L(z,u,u \ z) = L(z * a(y,y,x),u,z \ (z / u)). L(x * a(y,y,z),u,x \ (x / u)) = a(z,y,y) \ L(x,u,u \ x). x != a(y,z,z) \ L(u,w,v5) | L(a(y,z,z) \ u,w,v5) = x. L(a(x,y,y) \ z,u,u \ z) = L(z * a(y,y,x),u,z \ (z / u)). L(x * a(y,y,z),u,x \ (x / u)) = L(a(z,y,y) \ x,u,u \ x). L(x * a(y,y,z),u,x \ (x / u)) = L(a(y,y,z) * x,u,u \ x). a(x,x,y) * (z \ ((a(x,x,y) \ 1) * L(a(x,x,y) * (u / 1),w,v5))) = z \ L(u * a(x,x,y),w,v5). a(x,x,y) * (z \ ((a(x,x,y) \ 1) * L(a(x,x,y) * u,w,v5))) = z \ L(u * a(x,x,y),w,v5). a(x,x,y) * (z \ (1 * (a(x,x,y) \ L(a(x,x,y) * u,w,v5)))) = z \ L(u * a(x,x,y),w,v5). a(x,x,y) * (z \ (1 * L(a(x,x,y) \ (a(x,x,y) * u),w,v5))) = z \ L(u * a(x,x,y),w,v5). a(x,x,y) * (z \ (1 * L(u,w,v5))) = z \ L(u * a(x,x,y),w,v5). a(x,x,y) * (z \ L(u,w,v5)) = z \ L(u * a(x,x,y),w,v5). x \ L(y * a(z,z,u),w,v5) = a(z,z,u) * (x \ L(y,w,v5)). x \ L(y * a(z,z,u),w,v5) != v6 | x \ L(a(z,z,u) * y,w,v5) = v6. x \ L(a(y,y,z) * u,w,v5) = a(y,y,z) * (x \ L(u,w,v5)). a(x,x,y) * L(z,u,w) = L(a(x,x,y) * z,u,w). L(a(x,x,y) * z,u,w) = a(x,x,y) * L(z,u,w). L(x,y,z) * a(u,u,w) = L(a(u,u,w) * x,y,z). L(a(x,x,y) * z,u,w) = L(z,u,w) * a(x,x,y). x != a(y,y,z) * L(z,y,y) | z = x. x = L(a(y,y,x) * x,y,y). L(a(x,x,y) * y,x,x) = y. L(x * a(y,y,x),y,y) = x. L(L(a(x,x,L(y,z,u)) * y,z,u),x,x) = L(y,z,u). x * L(L(x * a(y,y,x),y,y) \ 1,z,u) = L((x * a(y,y,x)) * L((x * a(y,y,x)) \ 1,z,u),y,y). L((x * a(y,y,x)) * L((x * a(y,y,x)) \ 1,z,u),y,y) = x * L(L(x * a(y,y,x),y,y) \ 1,z,u). L(((x * x) * y) * a(z,z,x * (x * y)),z,z) = (x * x) * y. x != L(y,z,u \ y) * w | y * (a(u,z,y) * w) = x. x * (a(y,z,x) * a(u,u,w)) = L(a(u,u,w) * x,z,y \ x). L(a(x,x,y) * z,u,w \ z) = z * (a(w,u,z) * a(x,x,y)). L(x * ((x \ a(y,y,L(z,x,x \ 1))) * z),y,y) = L(z,x,x \ 1). L(((x * x) * (x \ y)) * a(z,z,x * y),z,z) = (x * x) * (x \ y). L(x * (x * ((x \ a(y,y,L(x * z,x,x \ 1))) * z)),y,y) = L(x * z,x,x \ 1). L((x * x) * ((x \ y) * a(z,z,x * y)),z,z) = (x * x) * (x \ y). L(x * (x * ((x \ a(y,y,x * z)) * z)),y,y) = L(x * z,x,x \ 1). L((x * a(y,x,x)) * L((x * a(y,x,x)) \ 1,z,u),x,y) = x * L(x \ 1,z,u). L((x * a(y,x,x)) * L(x \ (a(y,x,x) \ 1),z,u),x,y) = x * L(x \ 1,z,u). L(x * (a(y,x,x) * L(x \ (a(y,x,x) \ 1),z,u)),x,y) = x * L(x \ 1,z,u). L(x * L(a(y,x,x) * (x \ (a(y,x,x) \ 1)),z,u),x,y) = x * L(x \ 1,z,u). L(x * L(x \ 1,y,z),x,u) = x * L(x \ 1,y,z). x \ y != L(z * L(z \ 1,u,w),z,v5) | x * (z * L(z \ 1,u,w)) = y. (x * y) * (y * L(y \ 1,z,u)) = x * (y * (y * L(y \ 1,z,u))). (x * y) * (y * L(y \ 1,z,u)) != w | (x * (y * L(y \ 1,z,u))) * y = w. (x * (y * L(y \ 1,z,u))) * y = x * (y * (y * L(y \ 1,z,u))). R(x,y,x * L(x \ 1,z,u)) = (w * (x * L(x \ 1,v5,v6))) \ (w * (x * (x * L(x \ 1,v5,v6)))). x != (y * z) \ (y * (u * z)) | L(T(u,z),z,y) = x. L(T(x,x * L(x \ 1,y,z)),x * L(x \ 1,y,z),u) = R(x,w,x * L(x \ 1,v5,v6)). R(x,y,x * L(x \ 1,z,u)) = L(T(x,x * L(x \ 1,w,v5)),x * L(x \ 1,w,v5),v6). R(x,y,x * L(x \ 1,z,u)) = L(x,x * L(x \ 1,w,v5),v6). L(x,x * L(x \ 1,y,z),u) = x. L(x,y \ 1,z \ 1) \ u = L(R(x \ 1,y,z),x,u) * u. L(R(x \ 1,y,z),x,u) * u = L(x,y \ 1,z \ 1) \ u. L(R(x \ 1,y,z),x,u) * u != w | (x * R(x \ 1,y,z)) * (x \ u) = w. (x * R(x \ 1,y,z)) * (x \ u) = L(x,y \ 1,z \ 1) \ u. (x * L(x \ 1,y,z)) * (x \ u) = L(x,y \ 1,z \ 1) \ u. ((x / (x * y)) * L((x / (x * y)) \ 1,z,u)) * x = L(x / (x * y),z \ 1,u \ 1) \ (x / y). T(x,L(y,z \ 1,u \ 1) \ w) = T(x,(y \ w) * (y * L(y \ 1,z,u))). T(x,(y \ z) * (y * L(y \ 1,u,w))) = T(x,L(y,u \ 1,w \ 1) \ z). a(x \ 1,y,z) * (x \ u) = L(x,y \ 1,z \ 1) \ u. L(x,y \ 1,z \ 1) \ u = a(x \ 1,y,z) * (x \ u). T(x,L(y / z,u \ 1,w \ 1) \ v5) = T(x,a((y / z) \ 1,u,w) * ((z \ y) \ v5)). T(x,a((y / z) \ 1,u,w) * ((z \ y) \ v5)) = T(x,L(y / z,u \ 1,w \ 1) \ v5). x != T(y,L(z,u \ 1,w \ 1) \ v5) | T(y,v5 * L(z \ 1,u,w)) = x. T(x,y * L(z \ 1,u,w)) = T(x,(z \ y) * (z * L(z \ 1,u,w))). T(x,(y \ z) * (y * L(y \ 1,u,w))) = T(x,z * L(y \ 1,u,w)). T(x,y * L((z / u) \ 1,w,v5)) = T(x,a((z / u) \ 1,w,v5) * ((u \ z) \ y)). T(x,a((y / z) \ 1,u,w) * ((z \ y) \ v5)) = T(x,v5 * L((y / z) \ 1,u,w)). (x / (L((x * y) / x,z,u) \ (x * y))) * x = L(x / (x * y),z \ 1,u \ 1) \ (x / y). L(x / (x * y),z \ 1,u \ 1) \ (x / y) = (x / (L((x * y) / x,z,u) \ (x * y))) * x. L(x / (x * y),z \ 1,u \ 1) \ (x / y) = (x / (L(x * (y / x),z,u) \ (x * y))) * x. L(x / (x * y),z \ 1,u \ 1) \ (x / y) = (x / ((x / L(y,z,u)) * y)) * x. x != (y / z) * y | y * (z \ y) = x. x * (((x / L(y,z,u)) * y) \ x) = L(x / (x * y),z \ 1,u \ 1) \ (x / y). L(x / (x * y),z \ 1,u \ 1) \ (x / y) = x * (((x / L(y,z,u)) * y) \ x). x != y * (((y / z) * u) \ y) | (y / u) * z = x. (x / y) * L(y,z,u) = L(x / (x * y),z \ 1,u \ 1) \ (x / y). L(x / (x * y),z \ 1,u \ 1) \ (x / y) = (x / y) * L(y,z,u). L(x / (x * y),z,u) \ (x / y) != w | x / (y * L(y \ 1,z,u)) = w. x / (y * L(y \ 1,z \ 1,u \ 1)) = (x / y) * L(y,z,u). x / (y * (L(y,z,u) \ 1)) = (x / y) * L(y,z,u). x / (L(y,z,u) \ y) = (x / y) * L(y,z,u). L(L(x,y,z) \ x,L(x,y,z),u) = L(x,y,z) \ x. a(x,y,z) = L(z,y,x) \ z. L(L(x,y,z) \ x,L(x,y,z),x \ u) != w | u \ ((u / L(x,y,z)) * x) = w. x \ ((x / L(y,z,u)) * y) = L(y,z,u) \ y. x \ y != L(L(z,u,w) \ z,L(z,u,w),z \ (w * (u * z))) | x * a(w,u,z) = y. L(x,y,z) * a(z,y,x) = x. x != L(y,z,u) \ y | y / L(y,z,u) = x. x / L(x,y,z) = a(z,y,x). a(x,y,z) = z / L(z,y,x). ((x \ L(x,y,z)) * u) \ 1 = (u \ 1) * a(z,y,x). x / a(y,z,u) = (x / u) * L(u,z,y). (x / y) * L(y,z,u) = x / a(u,z,y). x != (y / z) / L(y / z,u \ 1,w \ 1) | T((z \ y) * L((z \ y) \ 1,u,w),y \ 1) = x. T((x \ y) * L((x \ y) \ 1,z,u),y \ 1) = a(u \ 1,z \ 1,y / x). x * L(y,z,u) = (x * y) / a(u,z,y). (x * y) / a(z,u,y) = x * L(y,u,z). x \ ((x / L(y,z,u)) * y) != w | x / (L(y,z,u) * (y \ x)) = w. x / (L(y,z,u) * (y \ x)) = L(y,z,u) \ y. (L(x,y,z) \ x) \ u = L(x,y,z) * (x \ u). a(x,y,z) \ u = L(z,y,x) * (z \ u). L(x,y,z) * (x \ u) = a(z,y,x) \ u. a(x,y,z) * (z \ u) = L(z,y,x) \ u. x \ y != L(z,u,w) * (z \ v5) | x * (a(w,u,z) \ v5) = y. x * (a(y,z,x) \ u) = L(x,z,y) * u. L(x,y,z) * u = a(z,y,x) \ (x * u). a(x,y,z) \ (z * u) = L(z,y,x) * u. x * (y \ z) != L(y,u \ 1,w \ 1) \ z | a(y \ 1,u,w) = x. a(x \ 1,y,z) = a(z \ 1,y \ 1,x). a(x \ 1,y \ 1,z) = a(z \ 1,y,x). x * y != L(x,z,u) * w | a(x,z,u) * w = y. a(x,y,z) * u = a(z,y,x) \ u. a(x,y,z) \ u = a(z,y,x) * u. x \ (x / a(y,z,u)) = a(u,z,y). x = a(y,z,u) * (a(u,z,y) * x). a(x,y,z) * (a(z,y,x) * u) = u. x \ y != a(z,u \ 1,u) | x * a(z,u,u \ 1) = y. x * a(y,z,z \ 1) = x / a(z,z \ 1,y). x / a(y,y \ 1,z) = x * a(z,y,y \ 1). a(x,y,K(z,u)) \ (z * w) = L(z,y,K(x,u)) * w. x != a(y \ 1,z,u) | a(u,z,y) = x. a(x,y,z) = a(x \ 1,y \ 1,z). a(x \ 1,y \ 1,z) = a(x,y,z). x * ((L(x \ 1,x,y) * z) * a(y,x,x \ 1)) = L(z,x,y \ (y / x)). (a(x,y,z) \ 1) * u = (z \ L(z,y,x)) * u. ((x \ L(x,y,z)) * u) * (u \ 1) = L(a(z,y,x) \ 1,u,u \ 1). a(x,y,K(z,u)) \ (z * w) != v5 * w | L(z,y,K(x,u)) = v5. L(x \ L(x,y,z),u,u \ 1) = L(a(z,y,x) \ 1,u,u \ 1). L(a(x,y,z) \ 1,u,u \ 1) = L(z \ L(z,y,x),u,u \ 1). L(x \ 1,y,y \ 1) != z | y * ((x * y) \ 1) = z. x * ((a(y,z,u) * x) \ 1) = L(u \ L(u,z,y),x,x \ 1). L(x \ L(x,y,z),u,u \ 1) = u * ((a(z,y,x) * u) \ 1). L(x * L(x \ 1,y,z),u,u \ 1) = u * ((a(z,y,x \ 1) * u) \ 1). L(x * ((a(y,z,u \ w) * x) \ 1),u \ w,u) = L(w \ (u * L(u \ w,z,y)),x,x \ 1). L(x \ (y * L(y \ x,z,u)),w,w \ 1) = w * ((a(u,z,(x \ y) \ 1) * w) \ 1). T(a((x \ y) \ 1,z,u),y \ 1) = a(u \ 1,z \ 1,y / x). x != L(y \ (z * L(z \ y,u,w)),v5,v5 \ 1) | v5 * ((a(w,u,(y \ z) \ 1) * v5) \ 1) = x. x * ((a(y,z,(u \ w) \ 1) * x) \ 1) = L(x * ((a(y,z,w \ u) * x) \ 1),w \ u,w). L(x * ((a(y,z,u \ w) * x) \ 1),u \ w,u) = x * ((a(y,z,(w \ u) \ 1) * x) \ 1). L((x * a(y,y,x)) * L((x * a(y,y,x)) \ 1,z,u),y,y) = x * L(x \ 1,z,u). L(x * (a(y,y,x) * L(a(y,y,x) \ (x \ 1),z,u)),y,y) = x * L(x \ 1,z,u). L(x * L(a(y,y,x) * (a(y,y,x) \ (x \ 1)),z,u),y,y) = x * L(x \ 1,z,u). L(x * L(x \ 1,y,z),u,u) = x * L(x \ 1,y,z). L(R(x,y,z) \ x,u,u) = x * L(x \ 1,y \ 1,z \ 1). L(x,y,L(R(z,u,w) \ z,v5,v5) \ 1) != z * L(z \ 1,u \ 1,w \ 1) | L(R(z,u,w) \ z,v5,v5) = x. L(R(x,y,z) \ x,u,u) = R(x,y,z) \ x. L(L(x,y,z) \ x,u,u) = R(x,y,z) \ x. L(x,y,L(L(z,u,w) \ z,v5,v5) \ 1) != R(z,u,w) \ z | L(L(z,u,w) \ z,v5,v5) = x. L(L(x,y,z) \ x,u,u) = L(x,y,z) \ x. L(L(x,y,z) \ x,u,u) * w != L(x,y,z) \ x | 1 = w. 1 = a(x,x,L(y,z,u) \ y). a(x,x,L(y,z,u) \ y) = 1. a(x,x,a(y,z,u)) = 1. a(x,x,a(y,z,u)) * w != 1 | 1 = w. 1 = a(a(x,y,z),u,u) * 1. a(a(x,y,z),u,u) * 1 = 1. a(a(x,y,z),u,u) = 1. x * y != a(a(z,u,w),v5,v5) | x \ 1 = y. (a(x,y,z) \ u) \ 1 = u \ a(x,y,z). (a(x,y,z) * u) \ 1 = u \ a(z,y,x). L(x * (x \ a(y \ z,u,w)),y \ z,y) = x * ((a(w,u,(z \ y) \ 1) * x) \ 1). L(a(x \ y,z,u),x \ y,x) = w * ((a(u,z,(y \ x) \ 1) * w) \ 1). L(a(x,y,z),x,u) != w | a(x,y,z) = w. a(x \ y,z,u) = w * ((a(u,z,(y \ x) \ 1) * w) \ 1). x * ((a(y,z,(u \ w) \ 1) * x) \ 1) = a(w \ u,z,y). x * (x \ a((y \ z) \ 1,u,w)) = a(z \ y,u,w). a((x \ y) \ 1,z,u) = a(y \ x,z,u). T(a(x \ y,z,u),x \ 1) = a(u \ 1,z \ 1,x / y). a(x \ y,z,T(u,x \ 1)) = a(u \ 1,z \ 1,x / y). a(x \ 1,y \ 1,z / u) = a(z \ u,y,T(x,z \ 1)). x != a(y \ z,u,T(w,y \ 1)) | a(z / y,u,w) = x. a(x / y,z,u) = a(u \ 1,z \ 1,y / x). a(x \ 1,y \ 1,z / u) = a(u / z,y,x). a(x \ 1,y \ 1,z) != u | a(z \ 1,y,x) = u. a((x / y) \ 1,z,u) = a(y / x,z,u). T(x,((y \ z) \ (u * w)) * a(y / z,u,w)) = T(x,w * ((y \ z) \ u)). T(x,a(y / z,u,w) * ((y \ z) \ (u * w))) = T(x,w * ((y \ z) \ u)). ((x * y) \ (K(z,(x * y) / (x * (u \ y))) * ((x * K(u,z)) * y))) / a(z,x * (K(u,z) * y),a(L(u,y,x),K(u,z),K(y,x))) = a(x,K(u,z),y). a(x,y \ 1,K(z,u \ 1)) = a(u,y,K(x,z)). a(x,y \ 1,K(z,u)) = a(z,y,K(x,u)). a(x,y \ 1,K(y * z,u)) != w | K(x,(u * z) \ ((u * (y \ 1)) * (y * z))) = w. K(x,(y * z) \ ((y * (u \ 1)) * (u * z))) = a(u * z,u,K(x,y)). x * a(y,z,K(u,w * z)) = x * a(u,w,K(y,w * z)). x * y != y * a(z,u,K(w,v5)) | a(v5,u,K(z,w)) = x. a(x * y,x,K(z,u)) = a(u,y,K(z,x * y)). a(x * y,x,K(z,u)) = a(u,y,K(z,y * x)). K(x,y \ ((z * (u \ 1)) * w)) != v5 | K(y * (w \ (z \ u)),x) = v5. K((x * y) * ((z * y) \ (x \ z)),u) = a(z * y,z,K(u,x)). K((x * y) * ((z * y) \ (x \ z)),u) != w | a(u,z,K(y,z / x)) = w. a(x,y,K(z,y / u)) = a(y * z,y,K(x,u)). a(x * y,x,K(z,u)) = a(z,x,K(y,x / u)). a(x * y,x,K(z,u)) = a(z,x,K(y,u \ x)). x != a(y,z,K(u,w \ v5)) | a(u,z,K(y,v5 \ w)) = x. a(x,y,K(z,y \ u)) = a(y * x,y,K(z,u)). a(x * y,x,K(z,u)) = a(y,x,K(z,x \ u)). a(x * y,x,K(z,u)) != w | a(u,y,K(z,y * x)) = w. a(x,y,K(z,y * u)) = a(y,u,K(z,u \ x)). a(x,y,K(z,y \ u)) = a(u,x,K(z,x * y)). x != a(y,z,K(u,z * w)) | a(y,u,K(w,z)) = x. a(x,y,K(z,u)) = a(u,z,K(y,z \ x)). a(x,y,K(z,y \ u)) = a(u,z,K(y,x)). a(x,y,K(z,u \ y)) = a(u,x,K(y,z)). a(K(x,y),z,K(u,w)) != v5 | 1 = v5. 1 = a(x,K(y,z),K(u,w)). a(x,K(y,z),K(u,w)) = 1. L(K(x,y),K(z,u),w) = K(x,y). ((x * y) \ (K(z,(x * y) / (x * (u \ y))) * ((x * K(u,z)) * y))) / a(z,x * (K(u,z) * y),1) = a(x,K(u,z),y). K(x,L(y,K(z,u),w)) = K(x,y). x \ y != L(K(z,u),K(w,v5),v6) | x * K(z,u) = y. (x * K(y,z)) * K(u,w) = x * (K(y,z) * K(u,w)). 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(z,u) * w). x * K(x,y) = T(x,L(y,K(z,u),w)). T(x,L(y,K(z,u),w)) = x * K(x,y). K(x,K(y,z) \ ((u \ K(y,z)) * w)) = K(x,u \ w). K(x,L(L(y,K(z,u),w),v5,v6)) = K(x,L(y,v5,v6)). K(x,L(y,a(z,u,K(w,v5)),v6)) = K(x,y). (x * K(y,z)) * a(u,w,K(v5,v6)) = x * (K(y,z) * a(u,w,K(v5,v6))). T(x,y) = T(x,L(y,K(z,u),w)). T(x,L(y,K(z,u),w)) = T(x,y). x \ y != T(z,L(u,K(w,v5),v6)) | x * T(z,u) = y. L(x,K(y,z),u) * T(w,x) = w * L(x,K(y,z),u). (x * a(y,z,K(u,w))) * K(v5,v6) = x * (a(y,z,K(u,w)) * K(v5,v6)). K(x,L(L(y,K(z,u),w),w * K(z,u),v5)) != v6 | K(x,(v5 * w) \ (v5 * (w * (K(z,u) * y)))) = v6. K(x,(y * z) \ (y * (z * (K(u,w) * v5)))) = K(x,L(v5,z * K(u,w),y)). L(x,K(y,z),K(u,w)) = x. K(x,y) * (z * (K(u,w) * K(y,x))) = z * K(u,w). (x * K(y,z)) * K(u,x \ y) != w | T(y,z) * T(y \ x,u) = w. T(x,y) * T(x \ z,u) = z * (K(x,y) * K(u,z \ x)). x * (K(y,z) * K(u,x \ y)) = T(y,z) * T(y \ x,u). (x * (y * K(z,u))) * K(w,v5) = (x * y) * (K(z,L(u,y,x)) * K(w,v5)). (x * y) * (K(z,L(u,y,x)) * K(w,v5)) = (x * (y * K(z,u))) * K(w,v5). (x * (y * K(z,u))) \ ((x * y) * K(w,v5)) = ((x * (y * K(z,u))) \ (x * y)) * K(w,v5). K(x,K(y,z) * ((u \ K(w,v5)) * v6)) = K(x,u \ v6). K(x,K(y,z) \ u) != w | K(x,u) = w. K(x,(y \ K(z,u)) * w) = K(x,y \ w). K(x,y * ((z \ (u \ 1)) * w)) != v5 | K(x,y * ((z * u) \ w)) = v5. K(x,(y \ K(z,u)) * ((w * v5) \ v6)) = K(x,y \ ((w \ (v5 \ 1)) * v6)). (x * K(y,z)) * a(u,w,K(v5,L(v6,x * (K(y,z) * K(v7,v8)),K(v8,v7)))) = K(v8,v7) * ((x * (K(y,z) * K(v7,v8))) * a(u,w,K(v5,v6))). K(x,K(y,z) * ((u \ K(z,y)) * w)) != v5 | K(u * (w \ K(z,y)),x) = v5. K(x * (y \ K(z,u)),w) = K(w,x \ y). K(((x * y) \ z) * (u \ K(u,(y * x) \ z)),w) != v5 | K(w,u * (z \ ((x \ 1) \ y))) = v5. K(x,y * (z \ ((u \ 1) \ w))) = K(x,((u * w) \ z) \ y). x != T(y / z,u) * w | K(z,y) * (T(z \ y,u) * w) = x. K(x,y) * (T(x \ y,z) * T((y / x) \ u,w)) = u * (K(y / x,z) * K(w,u \ (y / x))). x != T(y \ z,u) * w | K(z,y) * (T(z / y,u) * w) = x. K(x,y) * (T(x / y,z) * T((y \ x) \ u,w)) = u * (K(y \ x,z) * K(w,u \ (y \ x))). x != K(y,(z \ u) \ w) | K(y,w * (u \ z)) = x. K(x,y * (z \ (u * w))) = K(x,y * (z \ ((u \ 1) \ w))). K(x,y * (z \ ((u \ 1) \ w))) = K(x,y * (z \ (u * w))). K(x,(y * ((z \ 1) / u)) \ w) = K(x,w * (y \ (u * z))). (x * (K(y,z) * K(u,w))) * a(v5,v6,K(v7,v8)) = (x * K(y,z)) * (K(u,w) * a(v5,v6,K(v7,v8))). K(x,y) * (z * (a(u,w,K(v5,v6)) * K(y,x))) = z * a(u,w,K(v5,v6)). ((x * a(y,z,K(u,w))) * K(v5,L(v6,x,a(y,z,K(u,w))))) * K(v7,v8) = (x * K(v5,v6)) * (a(y,z,K(u,w)) * K(v7,v8)). (x * (a(y,z,K(u,w)) * K(v5,v6))) * K(v7,v8) = (x * a(y,z,K(u,w))) * (K(v5,v6) * K(v7,v8)). K(x,(y \ K(z,u)) * w) != v5 | K(x,y \ w) = v5. K(x,y \ ((z * u) \ w)) = K(x,y \ ((z \ (u \ 1)) * w)). K(x,y \ ((z \ (u \ 1)) * w)) = K(x,y \ ((z * u) \ w)). x != ((y * z) * u) * a(R(y,z,u),z,u) | (R(y,z,u) * z) * u = x. (R(x,y,K(z,u)) * y) * K(z,u) = K(w,v5) * (((x * y) * K(z,u)) * (a(R(x,y,K(z,u)),y,K(z,u)) * K(v5,w))). K(x,y) * (((z * u) * K(w,v5)) * (a(R(z,u,K(w,v5)),u,K(w,v5)) * K(y,x))) = (R(z,u,K(w,v5)) * u) * K(w,v5). K(x,(y * z) \ (y * (z * (u * K(w,v5))))) = K(x,L(u,z * K(w,v5),y)). (x * a(y,z,K(u,w))) * (K(v5,L(v6,x,a(w,z,K(y,u)))) * K(v7,v8)) = (a(w,z,K(y,u)) * (x * K(v5,v6))) * K(v7,v8). K(x,L(y * K(z,u),w,v5)) = K(x,L(y,w * K(z,u),v5)). K(x,L(y,z,u)) = K(x,L(y,z * K(w,v5),u)). K(x,L(y,z * K(u,w),v5)) = K(x,L(y,z,v5)). K(x,L(y,z \ T(u,w),v5)) = K(x,L(y,z \ u,v5)). (x * (y * K(z,u))) * a(w,v5,K(v6,L(v7,y,x))) = x * ((y * K(z,u)) * a(w,v5,K(v6,v7))). (x * (y * K(z,u))) \ ((x * y) * K(w,v5)) = K(u,L(z,y,x)) * K(w,v5). (x * T(y * K(z,u),w)) \ ((x * T(y,w)) * K(v5,v6)) = K(u,L(z,T(y,w),x)) * K(v5,v6). (x * (y * K(z,u))) \ (x * (y * K(w,v5))) = K(u,L(z,y,x)) * K(w,L(v5,y,x)). (x * (y * K(z,u))) \ ((x * K(w,v5)) * y) = K(u,L(z,y,x)) * K(w,L(v5,x,y)). a(x,y,K(z,u)) = K(x,L(z,y,u)) * K(z,L(L(x,y,u),y,u)). K(x,L(y,z,u)) * K(y,L(L(x,z,u),z,u)) = a(x,z,K(y,u)). T(x * (y * K(z,u)),x * (y * K(w,v5))) / (x * (y * K(w,v5))) = K(v5,L(w,y,x)) * K(z,L(u,y,x)). (x * T(y * K(z,u),w)) \ ((x * T(y,w)) * K(v5,v6)) = K(u,L(z,y,x)) * K(v5,v6). (x * T(y * K(z,u),w)) \ ((x * K(v5,v6)) * T(y,w)) = K(u,L(z,y,x)) * K(v5,L(v6,x,T(y,w))). K(x,y) * (T(x \ y,z) * T((y / x) \ u,w)) = u * (K(z,y \ x) * K(w,u \ (y / x))). K(x,y) * (T(x / y,z) * T((y \ x) \ u,w)) = u * (K(z,x \ y) * K(w,u \ (y \ x))). (x * (K(y,z) * K(u,w))) * a(v5,v6,K(v7,L(v8,K(v9,v10),v11))) = (x * K(y,z)) * (K(u,w) * a(v5,v6,K(v7,v8))). K(x,y) * (T(x \ y,z) * T((y / x) \ u,w)) = u * (K(z,y \ x) * K(w,u \ (x \ y))). T(x / y,z) * T((x / y) \ u,w) = u * (K(z,x \ y) * K(w,u \ (y \ x))). x * (K(y,z \ u) * K(w,x \ (u \ z))) = T(z / u,y) * T((z / u) \ x,w). x * (K(y,z \ u) * K(w,x \ (u \ z))) != v5 | K(z,u) * (T(z / u,y) * T((u \ z) \ x,w)) = v5. K(x,y) * (T(x / y,z) * T((y \ x) \ u,w)) = T(x / y,z) * T((x / y) \ u,w). T(x \ y,z) * T((x \ y) \ u,w) = T(y / x,z) * T((y / x) \ u,w). T(x / y,z) * T((x / y) \ u,w) = T(y \ x,z) * T((y \ x) \ u,w). T(T(x \ y,z) * T((x \ y) \ u,w),y / x) = T((y / x) \ u,w) * T(y / x,z). T(T(x \ y,z) * T((x \ y) \ u,w),x \ y) = T((y / x) \ u,w) * T(y / x,z). T((x \ y) \ z,u) * T(x \ y,w) = T((y / x) \ z,u) * T(y / x,w). T((x / y) \ z,u) * T(x / y,w) = T((y \ x) \ z,u) * T(y \ x,w). T((x / y) \ z,u) * T(x / y,w) != v5 | T((y \ x) \ z,u) * T(y \ x,w) = v5. T((T(T(x,y),z) / u) \ w,v5 * (x \ u)) * T(T(T(x,y),z) / u,v5) != v6 | T(w,v5) = v6. T(x,y) = T((z \ T(T(u,w),v5)) \ x,y * (u \ z)) * T(z \ T(T(u,w),v5),y). T((x \ T(T(y,z),u)) \ w,v5 * (y \ x)) * T(x \ T(T(y,z),u),v5) = T(w,v5). (x * T(y * K(z,u),w)) \ ((x * K(v5,v6)) * T(y,w)) = K(u,L(z,y,x)) * K(v5,L(v6,x,y)). K(x,L(y,z,u)) * K(y,L(x,u,z)) != w | a(u,K(y,x),T(z,v5)) = w. T(x * (y * K(z,u)),x * y) / (x * (y * K(w,v5))) = K(v5,L(w,y,x)) * K(z,L(u,y,x)). (L(K(x,y),z,u) * (u * z)) / (u * (z * K(w,v5))) = K(v5,L(w,z,u)) * K(x,L(y,z,u)). (K(x,L(y,z,u)) * (u * z)) / (u * (z * K(w,v5))) = K(v5,L(w,z,u)) * K(x,L(y,z,u)). ((x * y) * K(z,L(u,y,x))) / (x * (y * K(w,v5))) = K(v5,L(w,y,x)) * K(z,L(u,y,x)). (x * (y * K(z,u))) / (x * (y * K(w,v5))) = K(v5,L(w,y,x)) * K(z,L(u,y,x)). x != K(y,L(z,u,w)) * K(z,L(L(y,u,w),u,w)) | a(y,u,K(z,w)) = x. a(x,y,K(z,u)) = (u * (y * K(z,L(x,y,u)))) / (u * (y * K(z,x))). (x * (y * K(z,L(u,y,x)))) / (x * (y * K(z,u))) = a(u,y,K(z,x)). (x * (y * K(z,(x * y) \ u))) / (x * (y * K(z,y \ (x \ u)))) = a(y \ (x \ u),y,K(z,x)). x != a(y \ (z \ u),w,K(v5,z)) | a(v5,w,K(z,y \ u)) = x. a(x,y,K(z,y \ u)) = (z * (y * K(x,(z * y) \ u))) / (z * (y * K(x,y \ (z \ u)))). (x * (y * K(z,(x * y) \ u))) / (x * (y * K(z,y \ (x \ u)))) = a(z,y,K(x,y \ u)). (x * (y * K(z,u))) / (x * (y * K(w,v5))) != v6 | K(v5,L(w,y,x)) * K(z,L(u,y,x)) = v6. K(x \ (y \ z),L(u,x,y)) * K(u,L((y * x) \ z,x,y)) = a(u,x,K(y,x \ z)). K(x,y \ (z * u)) * K(x,L((z * u) \ y,u,z)) = a(x,u,K(z,u \ y)). K(x,y \ z) * K(x,L(z \ y,u,w)) != v5 | a(y \ z,u,K(w,x)) = v5. a(x \ (y * z),z,K(y,u)) = a(u,z,K(y,z \ x)). a(x \ y,y,K(z,y \ u)) != w | a(z,x,K(u \ (z * y),y \ x)) = w. a(x,y,K(z \ (x * u),u \ y)) = a(z,x,K(u,y \ u)). x != a(y,z,K(u,w \ u)) | a(y,z,K(w,u)) = x. a(x,y,K(z,u)) = a(y,z,K(x \ (y * u),u \ z)). a(x,y,K(z \ (x * u),u \ y)) = a(z,x,K(y,u)). a(x,y,K(z,u \ y)) != w | a(u,x,K(y,z)) = w. a(x,y,K(z,u \ (y * x))) = a(u,y,K(z,x)). a(x,y,K(z,u \ (w * x))) != v5 | a(x,y,K(z,u \ w)) = v5. a(x,y,K(z,u \ y)) = a(u,y,K(z,x)). a(x,y,K(z,u)) = a(x,z,K(u,y)). a(x,y,K(z,u)) = a(x,u,K(y,z)). x != a(y,z,K(u,w)) | a(u,z,K(w,y)) = x. a(x,y,K(z,u)) = a(u,x,K(z,y)). x * a(x,y,K(z,u)) = T(x,a(y,z,u)). K(x,y) * a(x,y,K(z,u)) = K(x,L(y,z,u)). K(x,y) * a(y,z,K(u,x)) = K(x,L(y,u,z)). x != a(y,z,K(u,w)) | a(w,u,K(z,u \ y)) = x. a(x,y,K(z,y \ u)) = a(z,x,K(y,u)). x * a(y,z,K(u,x)) = T(x,a(z,y,u)). T(x,a(y,z,u)) = T(x,a(z,u,y)). T(x,a(y,z,u)) = T(x,a(u,y,z)). K(x,y \ ((y / z) * (u * z))) = K(x,u) * a(x,T(u,z),K(z,y)). T(T(x,a(y,z,u)),u) = T(x,L(u,y,z)). T(T(x,y),a(z,u,y)) = T(x,L(y,z,u)). T(x,L(y,z,u)) != T(w,y) | T(x,a(z,u,y)) = w. T(x,a(y,z,u)) != w | T(x,a(z,u,y)) = w. T(T(x,y),a(z,y,u)) = T(x,L(y,u,z)). K(x,L(y,z,u \ 1)) = K(x,L(y,u,z)). K(x,L(y,z,u \ x)) = K(x,L(y,u,z)). K(x,L(y,z,u \ 1)) = K(x,L(y,u,(u \ 1) \ z)). K(x,L(y,z,(z \ 1) \ u)) = K(x,L(y,u,z \ 1)). x \ y != K(z,L(u,w,v5 \ 1)) | x * K(z,L(u,v5,w)) = y. x * K(x,L(y,z,u)) = T(x,L(y,u,z \ 1)). T(x,L(y,z,u \ 1)) = x * K(x,L(y,u,z)). K(x,L(y,z,u \ 1)) != w | K(x,L(y,u,z)) = w. T(x,L(y,z,u)) = T(x,L(y,u,z \ 1)). T(x,L(y,z,u \ 1)) = T(x,L(y,u,z)). T(x,L(y,z,u \ 1)) != w | T(x,L(y,u,z)) = w. T(x,L(T(y,z),z,u \ 1)) != w | T(x,((u \ 1) * z) \ (u \ (y * z))) = w. T(x,((y \ 1) * z) \ (y \ (u * z))) = T(x,L(T(u,z),y,z)). T(x,R(y,z,u) \ 1) = T(x,L(y \ 1,u,z \ 1)). T(x,L(y \ 1,z,u \ 1)) = T(x,R(y,u,z) \ 1). K(x,L(y,z,u * (1 \ z))) = K(x,L(y,u,z \ 1)). T(x,L(y \ 1,z,u)) = T(x,R(y,z,u) \ 1). T(x,L(y \ 1,z,u)) = T(x,L(y,z,u) \ 1). x / y != T(z,L(u,w,v5) \ 1) | T(z,L(u \ 1,w,v5)) * y = x. T(x,L(y \ 1,z,u)) * L(y,z,u) = L(y,z,u) * x. K(x,L(y,z,u * z)) = K(x,L(y,u,z \ 1)). K(x,L(y,z,u \ 1)) = K(x,L(y,u,z * u)). K(x,L(y,z,u)) = K(x,L(y,z,u * z)). K(x,L(y,z,u * z)) = K(x,L(y,z,u)). x != K(y,L(z,u,w)) | K(y,L(z,w,u \ 1)) = x. K(x,L(y,z * u,u \ 1)) = K(x,L(y,z,u \ 1)). K(x,L(y,z \ T(z * u,w),T((z \ 1) \ u,w) \ 1)) = K(x,L(y,z \ 1,T((z \ 1) \ u,w) \ 1)). x / y != T(z,L(u \ 1,w,v5)) * L(u,w,v5) | (L(u,w,v5) * z) * y = x. (L(x,y,z) * u) * a(z,y,x) = T(u,L(x \ 1,y,z)) * x. x != T(y,L(T(z,u),w,v5)) | T(y,L(z,w,v5)) = x. T(x,L(y,z,u)) = T(x,((z \ 1) * u) \ (z \ (y * u))). T(x,((y \ 1) * z) \ (y \ (u * z))) = T(x,L(u,y,z)). T(x,((y \ 1) * z) \ u) != w | T(x,u * (z \ y)) = w. T(x,(y \ (z * u)) * (u \ y)) = T(x,L(z,y,u)). T(x,(y \ z) * (z \ (u * y))) = T(x,L(u,z,y)). T(x,(y \ z) * (z \ (u * y))) != w | T((y \ z) \ x,z \ (u * y)) * T(y \ z,u) = w. T((x \ y) \ z,y \ (u * x)) * T(x \ y,u) = T(z,L(u,y,x)). K(x,y \ ((y / z) * (u * z))) = K(x,u) * a(x,u,K(z,y)). x != K(y,z) * a(y,z,K(u,w)) | K(y,L(z,u,w)) = x. K(x,L(y,z,u)) = K(x,u \ ((u / z) * (y * z))). K(x,y \ ((y / z) * (u * z))) = K(x,L(u,z,y)). K(x,y \ ((z \ y) * (u * z))) = K(x,L(u,z,y)). K(x,y \ ((z \ y) * (u * z))) != w | K(x,L(u,z,z \ y)) = w. K(x,L(y,z,z \ u)) = K(x,L(y,z,u)). x \ y != K(z,L(u,w,w \ v5)) | x * K(z,L(u,w,v5)) = y. x * K(x,L(y,z,u)) = T(x,L(y,z,z \ u)). T(x,L(y,z,z \ u)) = x * K(x,L(y,z,u)). T(x,L(y,z,u)) = T(x,L(y,z,z \ u)). T(x,L(y,z,z \ u)) = T(x,L(y,z,u)). T(x,L((y \ (y / z)) \ u,y \ (z \ y),(y \ (z \ y)) \ y)) = T(x,(y / z) \ (y * u)). T((T(T(x,y),z) / u) \ w,T(T(T(x,u \ 1),y),z) \ (v5 * u)) * T(u \ T(T(T(x,u \ 1),y),z),v5) = T(w,L(v5,T(T(T(x,u \ 1),y),z),u)). T(x,L((y \ (y / z)) \ u,y \ (z \ y),((z \ y) \ y) * y)) = T(x,(y / z) \ (y * u)). T(x,L((y \ (y / z)) \ u,y \ (z \ y),T(z,y) * y)) = T(x,(y / z) \ (y * u)). T(x,L((y \ (y / z)) \ u,y \ (z \ y),T(z * y,y))) = T(x,(y / z) \ (y * u)). T(x,L((y \ (y / z)) \ u,y \ (z \ y),z * y)) = T(x,(y / z) \ (y * u)). T(x,y \ ((y * z) * u)) = T(x,(y / z) \ (y * u)). T(x,(y / z) \ (y * u)) = T(x,y \ ((y * z) * u)). T(x,(y \ z) \ (z * u)) = T(x,z \ ((z * y) * u)). T(x,(y * z) * (y \ u)) = T(x,y \ ((y * u) * z)). T(x,y \ ((y * z) * u)) = T(x,(y * u) * (y \ z)). T(x,(y \ z) \ (u * z)) = T(x,z \ ((z * y) * u)). T(x,(y \ (z \ u)) \ u) = T(x,u \ ((u * y) * z)). T(x,y * ((z \ y) \ u)) = T(x,y \ ((y * u) * z)). T(x,y \ ((y * z) * u)) = T(x,y * ((u \ y) \ z)). T(x,y \ ((y * z) * u)) != w | T(x,(y * u) * (y \ z)) = w. T(x,(y * z) * (y \ u)) = T(x,y * ((z \ y) \ u)). T(x,(y \ z) * (y * u)) = T(x,y * ((u \ y) \ z)). T(x,y * ((L(y \ 1,z,u) \ y) \ w)) != v5 | T(x,w * L(w \ (y \ w),z,u)) = v5. T(x,(y \ z) * (y * L(y \ 1,u,w))) != v5 | T(x,z * L(y \ 1,u,w)) = v5. T(x,y * L(z \ 1,u,w)) = T(x,z * ((L(z \ 1,u,w) \ z) \ y)). T(x,y * ((L(y \ 1,z,u) \ y) \ w)) = T(x,w * L(y \ 1,z,u)). T(x,y * L(y \ (z \ y),u,w)) = T(x,y * L(z \ 1,u,w)). T(x,y * L(y \ ((z \ u) \ y),w,v5)) != v6 | T(x,(u \ z) * ((z \ (u * L(u \ z,w,v5))) * y)) = v6. T(x,(y \ z) * ((z \ (y * L(y \ z,u,w))) * v5)) = T(x,v5 * L((z \ y) \ 1,u,w)). T(x,(y \ z) * (a((z \ y) \ 1,u,w) * v5)) = T(x,v5 * L((z \ y) \ 1,u,w)). T(x,(y \ z) * (a(y \ z,u,w) * v5)) = T(x,v5 * L((z \ y) \ 1,u,w)). T(x,L(y \ z,u,w) * v5) = T(x,v5 * L((z \ y) \ 1,u,w)). T(x,y * L((z \ u) \ 1,w,v5)) = T(x,L(u \ z,w,v5) * y). T(x,y * L(z \ u,w,v5)) = T(x,y * L((u \ z) \ 1,w,v5)). T(x,y * L((z \ u) \ 1,w,v5)) = T(x,y * L(u \ z,w,v5)). T(x,y * L((z \ u) \ 1,w,v5)) != v6 | T(x,y * L((u / z) \ 1,w,v5)) = v6. T(x,y * L((z / u) \ 1,w,v5)) = T(x,y * L(z \ u,w,v5)). T(x,y * L((z / u) \ 1,w,v5)) != v6 | T(x,a((z / u) \ 1,w,v5) * ((u \ z) \ y)) = v6. T(x,a((y / z) \ 1,u,w) * ((z \ y) \ v5)) = T(x,v5 * L(y \ z,u,w)). T(x,a(y / z,u,w) * ((y \ z) \ v5)) = T(x,v5 * L(z \ y,u,w)). T(x,a(y / z,u,w) * ((y \ z) \ (u * w))) != v5 | T(x,w * ((y \ z) \ u)) = v5. T(x,y * ((z \ u) \ w)) = T(x,(w * y) * L(u \ z,w,y)). T(x,(y * z) * L(u \ w,y,z)) = T(x,z * ((w \ u) \ y)). T(x,y * (T(z,y) * (u \ w))) = T(x,y * ((w \ u) \ z)). T(x,y * (z * (u \ w))) = T(x,y * ((w \ u) \ z)). T(x,y * ((z \ u) \ w)) = T(x,y * (w * (u \ z))). T(x,y * ((z \ u) \ (w * v5))) != v6 | T(x,y * (((w \ 1) / v5) \ (u \ z))) = v6. T(x,y * (((z \ 1) / u) \ (w \ v5))) = T(x,y * ((z * u) * (w \ v5))). T(x,y * ((z \ u) \ w)) != v5 | T(x,y * ((u / z) \ w)) = v5. T(x,y * ((z / u) \ w)) = T(x,y * (w * (z \ u))). T(x,y * (((z \ 1) / u) \ (1 \ w))) = T(x,y * ((z * u) * w)). T(x,y * (((z \ 1) / u) \ w)) = T(x,y * ((z * u) * w)). T(x,y * ((z / u) \ w)) != v5 | T(x,y * (w * (z \ u))) = v5. T(x,y * (z * ((u \ 1) \ w))) = T(x,y * ((u * w) * z)). T(x,(y / (z \ 1)) * (y / (z \ 1))) = T(x,L(y,z,z) * ((z * y) * z)). T(x,L(y,z,z) * ((z * y) * z)) = T(x,(y / (z \ 1)) * (y / (z \ 1))). T(x,L(y,z,z) * (z * (y * z))) = T(x,(y / (z \ 1)) * (y / (z \ 1))). x != T(y,(z / u) * w) | T(y,w * (u \ z)) = x. T(x,(y / (z \ 1)) * ((z \ 1) \ y)) = T(x,L(y,z,z) * (z * (y * z))). T(x,L(y,z,z) * (z * (y * z))) = T(x,(y / (z \ 1)) * ((z \ 1) \ y)). T(x,L(y,z,z) * (z * (y * z))) = T(x,y * (((z \ 1) * (z \ 1)) \ y)). T(x,L(y,z,z) * (z * (y * z))) = T(x,y * ((z \ (z \ 1)) \ y)). x != T(y,z * ((u \ w) \ v5)) | T(y,z * (v5 * (w \ u))) = x. T(x,y * (y * ((z \ 1) \ z))) = T(x,L(y,z,z) * (z * (y * z))). T(x,L(y,z,z) * (z * (y * z))) = T(x,y * (y * ((z \ 1) \ z))). T(x,L(y,z,z) * (z * (y * z))) = T(x,y * (y * (z * z))). T(T(x,y * (y * (z * z))),u) = T(x,(z * y) * ((z * y) * u)). T(T(x,y * (y * z)),u) != w | T(T(x,z),y * (y * u)) = w. T(T(x,y * y),z * (z * u)) = T(x,(y * z) * ((y * z) * u)). T(x,y * (y * (z * (z * u)))) = T(x,(y * z) * ((y * z) * u)). T(x,(y * z) * ((y * z) * u)) = T(x,y * (y * (z * (z * u)))). T(x,(y * z) * ((y * z) * (u \ (z \ (y \ 1))))) != w | T(x,u \ (y * z)) = w. T(x,y \ (z * u)) = T(x,z * (z * (u * (u * (y \ (u \ (z \ 1))))))). T(x,y * (y * (z * (z * (u \ (z \ (y \ 1))))))) = T(x,u \ (y * z)). T(x,y * (y * (z * (z * (u \ (z \ w)))))) != v5 | T(x,y * (y * (w * (u \ z)))) = v5. T(x,y * (y * ((y \ 1) * (z \ u)))) = T(x,z \ (y * u)). T(x,y * L(z \ u,y,y \ 1)) = T(x,z \ (y * u)). K(x,L(y,z \ T(z * u,w),T(((z \ 1) \ u) \ 1,w))) = K(x,L(y,z \ 1,T((z \ 1) \ u,w) \ 1)). K(x,L(y,z \ T(z * u,w),T((u \ 1) / z,w))) = K(x,L(y,z \ 1,T((z \ 1) \ u,w) \ 1)). K(x,L(y,z,T(u,w))) != v5 | K(x,L(y,z,u)) = v5. K(x,L(y,z \ T(z * u,w),(u \ 1) / z)) = K(x,L(y,z \ 1,T((z \ 1) \ u,w) \ 1)). K(x,L(y,z,u / w)) != v5 | K(x,L(y,z,w \ u)) = v5. K(x,L(y,z \ T(z * u,w),z \ (u \ 1))) = K(x,L(y,z \ 1,T((z \ 1) \ u,w) \ 1)). K(x,L(y,z \ T(u,w),v5)) != v6 | K(x,L(y,z \ u,v5)) = v6. K(x,L(y,z \ (z * u),z \ (u \ 1))) = K(x,L(y,z \ 1,T((z \ 1) \ u,w) \ 1)). K(x,L(y,z,u \ (z \ 1))) = K(x,L(y,u \ 1,T((u \ 1) \ z,w) \ 1)). K(x,L(y,z \ 1,T((z \ 1) \ u,w) \ 1)) = K(x,L(y,u,z \ (u \ 1))). K(x,L(y,z \ 1,T(((z \ 1) \ u) \ 1,w))) = K(x,L(y,u,z \ (u \ 1))). K(x,L(y,z \ 1,T((u \ 1) / z,w))) = K(x,L(y,u,z \ (u \ 1))). K(x,L(y,z \ 1,z \ (u \ 1))) = K(x,L(y,u,z \ (u \ 1))). K(x,L(y,z,(z \ (u \ 1)) \ 1)) = K(x,L(y,u,z \ (u \ 1))). K(x,L(y,z,u / (z \ 1))) = K(x,L(y,u,z \ (u \ 1))). K(x,L(y,z,u \ (z \ 1))) = K(x,L(y,u,z / (u \ 1))). x != K(y,L(z,u,w / v5)) | K(y,L(z,u,v5 \ w)) = x. K(x,L(y,z,(z \ 1) \ u)) = K(x,L(y,u,z \ (u \ 1))). K(x,L(y,z,u * (1 \ z))) = K(x,L(y,u,z \ (u \ 1))). K(x,L(y,z,u \ (z \ 1))) = K(x,L(y,u,z * (1 \ u))). K(x,L(y,z,u \ (z \ 1))) = K(x,L(y,u,z * u)). K(x,((y \ (z \ 1)) * z) \ ((y \ (z \ 1)) * (u * z))) = K(x,L(T(u,z),y,z * y)). K(x,(y * ((y \ 1) / z)) \ ((z \ (y \ 1)) * (u * y))) = K(x,L(T(u,y),z,y * z)). K(x,y \ ((z \ (u \ 1)) * w)) != v5 | K(x,y \ ((z * u) \ w)) = v5. K(x,(y * ((y \ 1) / z)) \ ((z * y) \ (u * y))) = K(x,L(T(u,y),z,y * z)). K(x,(y * ((z \ 1) / u)) \ w) != v5 | K(x,w * (y \ (u * z))) = v5. K(x,((y * z) \ (u * z)) * (z \ (y * z))) = K(x,L(T(u,z),y,z * y)). K(x,((y * z) \ (u * z)) * T(y,z)) = K(x,L(T(u,z),y,z * y)). K(x,((y * z) \ (u * y)) * z) = K(x,L(T(u,y),z,y * z)). K(x,y * ((z * y) \ (u * z))) = K(x,L(T(u,z),y,z * y)). x != K(y,L(T(z,u),w,v5)) | K(y,L(z,w,v5)) = x. K(x,L(y,z,u * z)) = K(x,z * ((u * z) \ (y * u))). K(x,y * ((z * y) \ (u * z))) = K(x,L(u,y,z * y)). a(x,y,K(z,u)) * K(x,L(z,u,y)) = K(x,L(z,y,u * y)). a(x,y,K(z,u)) * K(x,L(z,u,w)) != v5 | K(x,L(L(z,y,u \ 1),u,w)) = v5. K(x,L(L(y,z,u \ 1),u,z)) = K(x,L(y,z,u * z)). (x * (y * K(z,u))) * a(w,v5,K(v6,L(v7,y,x))) != v8 | x * ((y * K(z,u)) * a(w,v5,K(v6,v7))) = v8. x * ((K(y,z) * K(u,w)) * a(v5,v6,K(v7,v8))) = (x * K(y,z)) * (K(u,w) * a(v5,v6,K(v7,v8))). (x * K(y,z)) * (K(u,w) * a(v5,v6,K(v7,v8))) = x * ((K(y,z) * K(u,w)) * a(v5,v6,K(v7,v8))). (x * K(y,z)) * (K(u,w) * a(v5,v6,K(v7,v8))) = x * (K(y,z) * (K(u,w) * a(v5,v6,K(v7,v8)))). (x * K(y,z)) * (K(u,w) * a(v5,v6,K(v7,v8))) != v9 | (x * (K(y,z) * K(u,w))) * a(v5,v6,K(v7,v8)) = v9. (x * (K(y,z) * K(u,w))) * a(v5,v6,K(v7,v8)) = x * (K(y,z) * (K(u,w) * a(v5,v6,K(v7,v8)))). K(x,y) * (((z * u) * K(w,v5)) * (a(z,u,K(w,v5)) * K(y,x))) = (R(z,u,K(w,v5)) * u) * K(w,v5). ((x * y) \ (K(z,(x * y) / (x * (u \ y))) * ((x * K(u,z)) * y))) / 1 = a(x,K(u,z),y). ((x * y) \ (K(z,(x * y) / (x * (u \ y))) * ((x * K(u,z)) * y))) / 1 != w | L(a(x,K(u,z),y),x * (K(u,z) * y),K(z,L(u,y,x))) = w. L(a(x,K(y,z),u),x * (K(y,z) * u),K(z,L(y,u,x))) = a(x,K(y,z),u). L(a(x,K(y,z),u),x * (K(y,z) * u),K(z,L(y,u,x))) != w | (x * u) \ (((x * K(y,z)) * u) * K(z,T((x * u) / (x * (y \ u)),v5))) = w. (x * y) \ (((x * K(z,u)) * y) * K(u,T((x * y) / (x * (z \ y)),w))) = a(x,K(z,u),y). (x * y) \ (((x * K(z,u)) * y) * K(u,(x * (z \ y)) \ (x * y))) = a(x,K(z,u),y). (x * y) \ (((x * K(z,u)) * y) * K(L(u,y,x),T(z,w))) = a(x,K(z,u),y). (x * y) \ (((K(z,u) * x) * y) * K(L(T(u,w),y,x),T(z,v5))) = a(x,K(z,T(u,w)),y). (x * y) \ (((K(z,u) * x) * y) * K(L(u,y,x),T(T(z,w),v5))) = a(x,K(z,T(u,v6)),y). a(x,K(y,T(z,u)),w) = (x * w) \ (((K(y,z) * x) * w) * K(L(z,w,x),T(T(y,v5),v6))). a(x,K(y,z),u) = (x * u) \ (((K(y,z) * x) * u) * K(L(z,u,x),T(T(y,w),v5))). (x * y) \ (((K(z,u) * x) * y) * K(L(u,y,x),T(T(z,w),v5))) = a(x,K(z,u),y). (x * y) \ (((K(z,u) * x) * y) * K(u,L(T(T(z,w),v5),y,x))) = a(x,K(z,u),y). (x * y) \ ((K(z,u) * x) * (y * K(u,T(T(z,w),v5)))) = a(x,K(z,u),y). (x * y) \ ((K(z,u) * x) * (K(u,T(z,w)) * y)) = a(x,K(z,u),y). (x * y) \ ((x * K(z,u)) * (K(u,z) * y)) = a(x,K(z,u),y). a(x,K(y,z),K(z,y) * u) = a(x,K(y,z),u). a(x,y,z) != u | ((y * z) * x) \ (R(x,y,z) * T(y * z,x)) = u. ((K(x,y) * (K(y,x) * z)) * u) \ (R(u,K(x,y),K(y,x) * z) * T(K(x,y) * (K(y,x) * z),u)) = a(u,K(x,y),z). ((x * a(y,z,K(u,w))) * K(v5,v6)) * K(v7,v8) = (x * K(v5,v6)) * (a(y,z,K(u,w)) * K(v7,v8)). (x * (a(y,z,K(u,w)) * K(v5,v6))) * K(v7,v8) = (x * K(v5,v6)) * (a(y,z,K(u,w)) * K(v7,v8)). (x * a(y,z,K(u,w))) * (K(v5,v6) * K(v7,v8)) = (a(w,z,K(y,u)) * (x * K(v5,v6))) * K(v7,v8). (a(x,y,K(z,u)) * (w * K(v5,v6))) * K(v7,v8) = (w * a(z,y,K(u,x))) * (K(v5,v6) * K(v7,v8)). (a(x,y,K(z,u)) * w) * K(v5,v6) != v7 | a(x,y,K(z,u)) * (w * K(v5,v6)) = v7. a(x,y,K(z,u)) * ((w * K(v5,v6)) * K(v7,v8)) = (w * a(z,y,K(u,x))) * (K(v5,v6) * K(v7,v8)). (x * a(y,z,K(u,w))) * (K(v5,v6) * K(v7,v8)) = a(w,z,K(y,u)) * ((x * K(v5,v6)) * K(v7,v8)). (x * a(y,z,K(u,w))) * (K(v5,v6) * K(v7,v8)) = a(w,z,K(y,u)) * (x * (K(v5,v6) * K(v7,v8))). (x * a(y,z,K(u,w))) * (K(v5,v6) * K(v7,v8)) != v9 | (x * (a(y,z,K(u,w)) * K(v5,v6))) * K(v7,v8) = v9. (x * (a(y,z,K(u,w)) * K(v5,v6))) * K(v7,v8) = a(w,z,K(y,u)) * (x * (K(v5,v6) * K(v7,v8))). (x * (a(y,z,K(u,w)) * K(v5,v6))) * K(v7,v8) != v9 | (x * K(v5,v6)) * (a(y,z,K(u,w)) * K(v7,v8)) = v9. (x * K(y,z)) * (a(u,w,K(v5,v6)) * K(v7,v8)) = a(v6,w,K(u,v5)) * (x * (K(y,z) * K(v7,v8))). a(x,y,K(z,u)) * (w * (K(v5,v6) * K(v7,v8))) = (w * K(v5,v6)) * (a(z,y,K(u,x)) * K(v7,v8)). (x * (K(y,z) * K(u,w))) * a(v5,v6,K(v7,v8)) = (x * K(y,z)) * (a(v7,v6,K(v8,v5)) * K(u,w)). (x * (K(y,z) * K(u,w))) * a(v5,v6,K(v7,v8)) != v9 | x * (K(y,z) * (K(u,w) * a(v5,v6,K(v7,v8)))) = v9. x * (K(y,z) * (K(u,w) * a(v5,v6,K(v7,v8)))) = (x * K(y,z)) * (a(v7,v6,K(v8,v5)) * K(u,w)). (x * K(y,z)) * (a(u,w,K(v5,v6)) * K(v7,v8)) = x * (K(y,z) * (K(v7,v8) * a(v6,w,K(u,v5)))). K(x,y) * ((z * u) * (K(w,v5) * (K(y,x) * a(v5,u,K(z,w))))) = (R(z,u,K(w,v5)) * u) * K(w,v5). (x * y) \ (R(y,K(z,u),K(u,z) * x) * T(K(z,u) * (K(u,z) * x),y)) = a(y,K(z,u),x). (x * y) \ (L(y,K(z,u),K(u,z) * x) * T(K(z,u) * (K(u,z) * x),y)) = a(y,K(z,u),x). (x * y) \ (L(y,K(z,u),K(u,z) * x) * T(x,y)) = a(y,K(z,u),x). (x * y) \ (x * L(y,K(z,u),K(u,z) * x)) = a(y,K(z,u),x). (x * y) \ ((x * K(z,u)) * (K(u,z) * y)) = a(y,K(u,z),x). (x * y) \ ((x * K(z,u)) * (K(u,z) * y)) != w | a(x,K(z,u),y) = w. a(x,K(y,z),u) = a(u,K(z,y),x). (x * (K(y,z) * u)) \ ((x * K(y,z)) * u) = a(u,K(z,y),x). (x * (y * K(z,u))) \ ((x * K(z,u)) * y) = a(y,K(u,z),x). (x * (y * K(z,u))) \ ((x * K(w,v5)) * y) != v6 | K(u,L(z,y,x)) * K(w,L(v5,x,y)) = v6. K(x,L(y,z,u)) * K(y,L(x,u,z)) = a(z,K(x,y),u). a(x,K(y,z),T(u,w)) = a(u,K(z,y),x). a(x,K(y,z),T(u,x)) != w | ((u * K(y,z)) * x) \ (u * (x * K(y,z))) = w. ((x * K(y,z)) * u) \ (x * (u * K(y,z))) = a(x,K(z,y),u). (x * K(y,z)) * a(u,w,K(v5,v6)) = K(v7,v8) * ((x * (K(y,z) * K(v8,v7))) * a(u,w,K(v5,v6))). K(x,y) * ((z * (K(u,w) * K(y,x))) * a(v5,v6,K(v7,v8))) = (z * K(u,w)) * a(v5,v6,K(v7,v8)). x != (y * K(z,u)) * a(w,v5,K(v6,v7)) | y * (K(z,u) * a(w,v5,K(v6,v7))) = x. x * (K(y,z) * a(u,w,K(v5,v6))) = K(v7,v8) * ((x * (K(y,z) * K(v8,v7))) * a(u,w,K(v5,v6))). K(x,y) * ((z * (K(u,w) * K(y,x))) * a(v5,v6,K(v7,v8))) = z * (K(u,w) * a(v5,v6,K(v7,v8))). K(x,y) * (z * (K(u,w) * (K(y,x) * a(v5,v6,K(v7,v8))))) = z * (K(u,w) * a(v5,v6,K(v7,v8))). K(x,y) * ((z * u) * (K(w,v5) * (K(y,x) * a(v5,u,K(z,w))))) != v6 | (R(z,u,K(w,v5)) * u) * K(w,v5) = v6. (R(x,y,K(z,u)) * y) * K(z,u) = (x * y) * (K(z,u) * a(u,y,K(x,z))). (x * y) * (K(z,u) * a(u,y,K(x,z))) = (R(x,y,K(z,u)) * y) * K(z,u). (x * y) * K(z,L(u,y,x \ z)) = (R(x,y,K(z,u)) * y) * K(z,u). (R(x,y,K(z,u)) * y) * K(z,u) = (x * y) * K(z,L(u,y,x \ z)). (L(x,y,K(z,u)) * y) * K(z,u) = (x * y) * K(z,L(u,y,x \ z)). K(x,y) * (L(z,u,K(x,y)) * u) = (z * u) * K(x,L(y,u,z \ x)). x != y * z | T(z * y,y \ 1) = x. T(K(x,L(y,z,u \ x)) * (u * z),(u * z) \ 1) = K(x,y) * (L(u,z,K(x,y)) * z). K(x,y) * (L(z,u,K(x,y)) * u) = (z * u) * K(x,L(y,u,z \ 1)). a(K(x,L(y,z,u \ 1)),u,z) = (K(x,y) * (L(u,z,K(x,y)) * z)) \ ((u * z) * R(K(x,L(y,z,u \ 1)),u,z)). (K(x,y) * (L(z,u,K(x,y)) * u)) \ ((z * u) * R(K(x,L(y,u,z \ 1)),z,u)) = a(K(x,L(y,u,z \ 1)),z,u). T((x * y) * K(z,L(u,y,x \ z)),(x * y) \ 1) = K(z,u) * (L(x,y,K(z,u)) * y). T((x * y) * K(z,L(u,y,x \ z)),x \ (y \ 1)) = K(z,u) * (L(x,y,K(z,u)) * y). T((x * y) * K(z,L(u,x,y)),x \ (y \ 1)) = K(z,u) * (L(x,y,K(z,u)) * y). T((x * K(y,z)) * u,x \ (u \ 1)) = K(y,z) * (L(x,u,K(y,z)) * u). T((x * K(y,z)) * u,x \ (u \ 1)) != w | (x * K(y,z)) * u = w. (x * K(y,z)) * u = K(y,z) * (L(x,u,K(y,z)) * u). K(x,y) * (L(z,u,K(x,y)) * u) = (z * K(x,y)) * u. (K(x,y) * (L(z,u,K(x,y)) * u)) \ ((z * u) * K(x,L(L(y,u,z \ 1),z,u))) = a(K(x,L(y,u,z \ 1)),z,u). (K(x,y) * (L(z,u,K(x,y)) * u)) \ ((z * u) * K(x,L(y,u,z * u))) = a(K(x,L(y,u,z \ 1)),z,u). a(x,y,K(z,L(u,z,y \ 1))) = (K(x,u) * (L(y,z,K(x,u)) * z)) \ ((y * z) * K(x,L(u,z,y * z))). (K(x,y) * (L(z,u,K(x,y)) * u)) \ ((z * u) * K(x,L(y,u,z * u))) = a(x,z,K(u,L(y,u,z \ 1))). (K(x,y) * (L(z,u,K(x,y)) * u)) \ ((z * u) * K(x,L(y,u,z * u))) = a(x,z,K(u,y)). ((x * K(y,z)) * u) \ ((x * u) * K(y,L(z,u,x * u))) = a(y,x,K(u,z)). ((x * K(y,z)) * u) \ ((x * u) * K(y,L(z,u,x))) = a(y,x,K(u,z)). ((x * K(y,z)) * u) \ (x * (u * K(y,z))) = a(y,x,K(u,z)). ((x * K(y,z)) * u) \ (x * (u * K(y,z))) != w | a(x,K(z,y),u) = w. a(x,K(y,z),u) = a(z,x,K(u,y)). x != a(y,z,K(u,w)) | a(z,w,K(u,y)) = x. a(x,y,K(z,u)) = a(x,K(y,u),z). a(x,K(y,z),u) = a(x,y,K(u,z)). a(x,y,K(z,u)) \ (z * w) = L(z,K(y,u),x) * w. L(x,y,K(z,u)) = L(x,K(y,u),z). L(x,K(y,z),u) = L(x,y,K(u,z)). x != L(y,z,K(u,w)) | T(y,a(w,z,u)) = x. T(x,a(y,z,u)) = L(x,K(z,y),u). L(x,K(y,z),u) = T(x,a(z,y,u)). x != T(T(y,z),a(u,z,w)) | T(y,L(z,w,u)) = x. T(x,L(y,z,u)) = L(T(x,y),K(y,u),z). L(T(x,y),K(y,z),u) = T(x,L(y,u,z)). L(x * y,K(x \ 1,z),u) = T(y * x,L(x \ 1,u,z)). L(x * y,K(z,x),u) = T(y * x,L(x \ 1,u,z)). T(x * y,L(y \ 1,z,u)) = L(y * x,K(u,y),z). T(x * y,L(y \ 1,z,u)) != w | T(x,L(y \ 1,z,u)) * y = w. T(x,L(y \ 1,z,u)) * y = L(y * x,K(u,y),z). x != L(y,K(z,u),w) | L(y,z,K(w,u)) = x. L(x * y,z,K(u,x)) = T(y,L(x \ 1,u,z)) * x. T(x,L(y \ 1,z,u)) * y = L(y * x,u,K(z,y)). T(x,L(y \ 1,z,u)) * y != w | (L(y,z,u) * x) * a(u,z,y) = w. (L(x,y,z) * u) * a(z,y,x) = L(x * u,z,K(y,x)). x * L((x \ 1) * y,z,K(x,x \ 1)) = L(y,x,z \ (z / x)). L(x,y,z \ (z / y)) = y * L((y \ 1) * x,z,K(y,y \ 1)). L(x,y,z \ (z / y)) = y * ((y \ 1) * x). x != y * ((y \ 1) * z) | L(z,y,y \ 1) = x. L(x,y,y \ 1) = L(x,y,z \ (z / y)). L(x,y,z \ (z / y)) = L(x,y,y \ 1). L(x * a(y,y,z),u,x \ (x / u)) != w | L(a(y,y,z) * x,u,u \ x) = w. L(a(x,x,y) * z,u,u \ z) = L(z * a(x,x,y),u,u \ 1). x != L(y * a(z,z,u),w,w \ 1) | w * ((w \ a(z,z,u)) * y) = x. x * ((x \ a(y,y,z)) * u) = L(a(y,y,z) * u,x,x \ u). L(a(x,x,y) * z,u,u \ z) = u * ((u \ a(x,x,y)) * z). L(a(x,x,y) * z,u,w \ z) != v5 | z * (a(w,u,z) * a(x,x,y)) = v5. x * (a(y,y,x) * a(z,z,u)) = y * ((y \ a(z,z,u)) * x). x * (x * ((x \ a(y,y,z)) * u)) = (x * x) * ((x \ u) * a(y,y,z)). (x * x) * ((x \ y) * a(z,z,u)) = x * (x * ((x \ a(z,z,u)) * y)). L(x * (x * ((x \ a(y,y,x * z)) * z)),y,y) = (x * x) * (x \ z). L(x * (x * ((x \ a(y,y,x * z)) * z)),y,y) != u | L(x * z,x,x \ 1) = u. L(x * y,x,x \ 1) = (x * x) * (x \ y). x * L(y,x,x \ 1) = (x * x) * (x \ y). T(x,(y * y) * (y \ (z \ u))) = T(x,z \ (y * u)). T(x,(y * y) * z) != u | T(x,y * (y * z)) = u. T(x,y * (y * (y \ (z \ u)))) = T(x,z \ (y * u)). T(x,y * (z \ u)) = T(x,z \ (y * u)). T(x,y \ (z * u)) = T(x,z * (y \ u)). T((T(T(x,y),z) / u) \ w,T(T(x,u \ 1),y) \ (v5 * u)) * T(u \ T(T(T(x,u \ 1),y),z),v5) = T(w,L(v5,T(T(T(x,u \ 1),y),z),u)). T((T(T(x,y),z) / u) \ w,T(x,u \ 1) \ (v5 * u)) * T(u \ T(T(T(x,u \ 1),y),z),v5) = T(w,L(v5,T(T(T(x,u \ 1),y),z),u)). T((T(T(x,y),z) / u) \ w,x \ (v5 * u)) * T(u \ T(T(T(x,u \ 1),y),z),v5) = T(w,L(v5,T(T(T(x,u \ 1),y),z),u)). T((T(T(x,y),z) / u) \ w,x \ (v5 * u)) * T(T(T(x,y),z) / u,v5) = T(w,L(v5,T(T(T(x,u \ 1),y),z),u)). x != T(y,L(z,T(u,w),v5)) | T(y,L(z,u,v5)) = x. T(x,L(y,T(T(z,u \ 1),w),u)) = T((T(T(z,w),v5) / u) \ x,z \ (y * u)) * T(T(T(z,w),v5) / u,y). T((T(T(x,y),z) / u) \ w,x \ (v5 * u)) * T(T(T(x,y),z) / u,v5) = T(w,L(v5,T(T(x,u \ 1),y),u)). T(x,L(y,T(z,u \ 1),u)) = T((T(T(z,w),v5) / u) \ x,z \ (y * u)) * T(T(T(z,w),v5) / u,y). T((T(T(x,y),z) / u) \ w,x \ (v5 * u)) * T(T(T(x,y),z) / u,v5) = T(w,L(v5,T(x,u \ 1),u)). T(x,L(y,z,u)) = T((T(T(z,w),v5) / u) \ x,z \ (y * u)) * T(T(T(z,w),v5) / u,y). T((T(T(x,y),z) / u) \ w,x \ (v5 * u)) * T(T(T(x,y),z) / u,v5) = T(w,L(v5,x,u)). T((x \ T(T(y,z),u)) \ w,y \ (v5 * x)) * T(x \ T(T(y,z),u),v5) = T(w,L(v5,y,x)). T((x \ T(T(y,z),u)) \ w,v5 * (y \ x)) * T(x \ T(T(y,z),u),v5) = T(w,L(v5,y,x)). T((x \ T(T(y,z),u)) \ w,v5 * (y \ x)) * T(x \ T(T(y,z),u),v5) != v6 | T(w,v5) = v6. T(x,y) = T(x,L(y,z,u)). T(x,L(y,z,u)) = T(x,y). T(x,a(y,z,u)) = x. K(a(x,y,z),u) = 1. K(a(x,y,z),u) != w | a(K(u,z),y,x) = w. end_of_list. ============================== end of input ========================== ============================== PROCESS NON-CLAUSAL FORMULAS ========== % Formulas that are not ordinary clauses: 1 a(x,y,z) = 1 -> L(z,y,x) = z # label(non_clause). [assumption]. 2 L(x,y,z) = x -> a(z,y,x) = 1 # label(non_clause). [assumption]. 3 T(x,y) = x -> T(y,x) = y # label(non_clause). [assumption]. 4 T(x,y) = x -> K(x,y) = 1 # label(non_clause). [assumption]. 5 K(x,y) = 1 -> T(x,y) = x # label(non_clause). [assumption]. 6 a(K(x,y),z,u) = 1 # label("aK1") # 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 * 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]. 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 * z) \ x) = (x / z) * (y \ x) # label("middle Bol"). [assumption]. K(K(x,y),z) = 1 # label("KK"). [assumption]. x * y != z | x * u != z | y = u # label("*-Cancellation 1"). [assumption]. x * y != z | u * y != z | x = u # label("*-Cancellation 2"). [assumption]. x / y != z | x / u != z | y = u # label("/-Cancellation 1"). [assumption]. x / y != z | u / y != z | x = u # label("/-Cancellation 2"). [assumption]. x \ y != z | x \ u != z | y = u # label("\-Cancellation 1"). [assumption]. x \ y != z | u \ y != z | x = u # label("\-Cancellation 2"). [assumption]. T(x,y) != z | T(u,y) != z | x = u # label("T-Cancellation 1"). [assumption]. L(x,y,z) != u | L(w,y,z) != u | x = w # label("L-Cancellation 1"). [assumption]. R(x,y,z) != u | R(w,y,z) != u | x = w # label("R-Cancellation 1"). [assumption]. x * y != x * z | y = z # label("*-Cancellation 3"). [assumption]. x * y != z * y | x = z # label("*-Cancellation 4"). [assumption]. x / y != x / z | y = z # label("/-Cancellation 3"). [assumption]. x / y != z / y | x = z # label("/-Cancellation 4"). [assumption]. x \ y != x \ z | y = z # label("\-Cancellation 3"). [assumption]. x \ y != z \ y | x = z # label("\-Cancellation 4"). [assumption]. T(x,y) != T(z,y) | x = z # label("T-Cancellation 2"). [assumption]. L(x,y,z) != L(u,y,z) | x = u # label("L-Cancellation 2"). [assumption]. R(x,y,z) != R(u,y,z) | x = u # label("R-Cancellation 2"). [assumption]. a(x,y,z) != 1 | L(z,y,x) = z. [clausify(1)]. L(x,y,z) != x | a(z,y,x) = 1. [clausify(2)]. T(x,y) != x | T(y,x) = y. [clausify(3)]. T(x,y) != x | K(x,y) = 1. [clausify(4)]. K(x,y) != 1 | T(x,y) = x. [clausify(5)]. x != y | x * z = y * z # label("Aux 1"). [assumption]. x != y | z * x = z * y # label("Aux 2"). [assumption]. x != y | x / z = y / z # label("Aux 3"). [assumption]. x != y | z / x = z / y # label("Aux 4"). [assumption]. x != y | x \ z = y \ z # label("Aux 5"). [assumption]. x != y | z \ x = z \ y # label("Aux 6"). [assumption]. x != y | y != z | x = z # label("Transitivity ="). [assumption]. a(K(c1,c2),c3,c4) != 1 # label("aK1"). [deny(6)]. end_of_list. formulas(demodulators). end_of_list. % 9270 hints input. ============================== PREDICATE ELIMINATION ================= No predicates eliminated. ============================== end predicate elimination ============= Term ordering decisions: Function symbol KB weights: 1=1. c1=1. c2=1. c3=1. c4=1. *=1. \=1. T=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: 7 1 * x = x. [assumption]. kept: 8 x * 1 = x. [assumption]. kept: 9 x \ (x * y) = y. [assumption]. kept: 10 x * (x \ y) = y. [assumption]. kept: 11 (x * y) / y = x. [assumption]. kept: 12 (x / y) * y = x. [assumption]. 13 (x * (y * z)) \ ((x * y) * z) = a(x,y,z) # label("associator"). [assumption]. kept: 14 a(x,y,z) = (x * (y * z)) \ ((x * y) * z). [copy(13),flip(a)]. 15 (x * y) \ (y * x) = K(y,x) # label("commutator"). [assumption]. kept: 16 K(x,y) = (y * x) \ (x * y). [copy(15),flip(a)]. 17 (x * y) \ (x * (y * z)) = L(z,y,x). [assumption]. kept: 18 L(x,y,z) = (z * y) \ (z * (y * x)). [copy(17),flip(a)]. 19 ((x * y) * z) / (y * z) = R(x,y,z). [assumption]. kept: 20 R(x,y,z) = ((x * y) * z) / (y * z). [copy(19),flip(a)]. 21 x \ (y * x) = T(y,x). [assumption]. kept: 22 T(x,y) = y \ (x * y). [copy(21),flip(a)]. kept: 23 T(T(x,y),z) = T(T(x,z),y). [assumption]. 24 T(L(x,y,z),u) = L(T(x,u),y,z). [assumption]. kept: 25 L(T(x,y),z,u) = T(L(x,z,u),y). [copy(24),flip(a)]. 26 T(R(x,y,z),u) = R(T(x,u),y,z). [assumption]. kept: 27 R(T(x,y),z,u) = T(R(x,z,u),y). [copy(26),flip(a)]. 28 L(R(x,y,z),u,w) = R(L(x,u,w),y,z). [assumption]. kept: 29 R(L(x,y,z),u,w) = L(R(x,u,w),y,z). [copy(28),flip(a)]. kept: 30 L(L(x,y,z),u,w) = L(L(x,u,w),y,z). [assumption]. kept: 31 R(R(x,y,z),u,w) = R(R(x,u,w),y,z). [assumption]. 32 x * ((y * z) \ x) = (x / z) * (y \ x) # label("middle Bol"). [assumption]. kept: 33 (x / y) * (z \ x) = x * ((z * y) \ x). [copy(32),flip(a)]. kept: 34 K(K(x,y),z) = 1 # label("KK"). [assumption]. kept: 35 x * y != z | x * u != z | y = u # label("*-Cancellation 1"). [assumption]. kept: 36 x * y != z | u * y != z | x = u # label("*-Cancellation 2"). [assumption]. kept: 37 x / y != z | x / u != z | y = u # label("/-Cancellation 1"). [assumption]. kept: 38 x / y != z | u / y != z | x = u # label("/-Cancellation 2"). [assumption]. kept: 39 x \ y != z | x \ u != z | y = u # label("\-Cancellation 1"). [assumption]. kept: 40 x \ y != z | u \ y != z | x = u # label("\-Cancellation 2"). [assumption]. kept: 41 T(x,y) != z | T(u,y) != z | x = u # label("T-Cancellation 1"). [assumption]. kept: 42 L(x,y,z) != u | L(w,y,z) != u | x = w # label("L-Cancellation 1"). [assumption]. kept: 43 R(x,y,z) != u | R(w,y,z) != u | x = w # label("R-Cancellation 1"). [assumption]. kept: 44 x * y != x * z | y = z # label("*-Cancellation 3"). [assumption]. kept: 45 x * y != z * y | x = z # label("*-Cancellation 4"). [assumption]. kept: 46 x / y != x / z | y = z # label("/-Cancellation 3"). [assumption]. kept: 47 x / y != z / y | x = z # label("/-Cancellation 4"). [assumption]. kept: 48 x \ y != x \ z | y = z # label("\-Cancellation 3"). [assumption]. kept: 49 x \ y != z \ y | x = z # label("\-Cancellation 4"). [assumption]. kept: 50 T(x,y) != T(z,y) | x = z # label("T-Cancellation 2"). [assumption]. kept: 51 L(x,y,z) != L(u,y,z) | x = u # label("L-Cancellation 2"). [assumption]. kept: 52 R(x,y,z) != R(u,y,z) | x = u # label("R-Cancellation 2"). [assumption]. kept: 53 a(x,y,z) != 1 | L(z,y,x) = z. [clausify(1)]. kept: 54 L(x,y,z) != x | a(z,y,x) = 1. [clausify(2)]. kept: 55 T(x,y) != x | T(y,x) = y. [clausify(3)]. kept: 56 T(x,y) != x | K(x,y) = 1. [clausify(4)]. kept: 57 K(x,y) != 1 | T(x,y) = x. [clausify(5)]. kept: 58 x != y | x * z = y * z # label("Aux 1"). [assumption]. kept: 59 x != y | z * x = z * y # label("Aux 2"). [assumption]. kept: 60 x != y | x / z = y / z # label("Aux 3"). [assumption]. kept: 61 x != y | z / x = z / y # label("Aux 4"). [assumption]. kept: 62 x != y | x \ z = y \ z # label("Aux 5"). [assumption]. kept: 63 x != y | z \ x = z \ y # label("Aux 6"). [assumption]. kept: 64 x != y | y != z | x = z # label("Transitivity ="). [assumption]. kept: 65 a(K(c1,c2),c3,c4) != 1 # label("aK1"). [deny(6)]. ============================== end of process initial clauses ======== ============================== CLAUSES FOR SEARCH ==================== % Clauses after input processing: formulas(usable). 65 a(K(c1,c2),c3,c4) != 1 # label("aK1"). [deny(6)]. end_of_list. formulas(sos). 7 1 * x = x. [assumption]. 8 x * 1 = x. [assumption]. 9 x \ (x * y) = y. [assumption]. 10 x * (x \ y) = y. [assumption]. 11 (x * y) / y = x. [assumption]. 12 (x / y) * y = x. [assumption]. 14 a(x,y,z) = (x * (y * z)) \ ((x * y) * z). [copy(13),flip(a)]. 16 K(x,y) = (y * x) \ (x * y). [copy(15),flip(a)]. 18 L(x,y,z) = (z * y) \ (z * (y * x)). [copy(17),flip(a)]. 20 R(x,y,z) = ((x * y) * z) / (y * z). [copy(19),flip(a)]. 22 T(x,y) = y \ (x * y). [copy(21),flip(a)]. 23 T(T(x,y),z) = T(T(x,z),y). [assumption]. 25 L(T(x,y),z,u) = T(L(x,z,u),y). [copy(24),flip(a)]. 27 R(T(x,y),z,u) = T(R(x,z,u),y). [copy(26),flip(a)]. 29 R(L(x,y,z),u,w) = L(R(x,u,w),y,z). [copy(28),flip(a)]. 30 L(L(x,y,z),u,w) = L(L(x,u,w),y,z). [assumption]. 31 R(R(x,y,z),u,w) = R(R(x,u,w),y,z). [assumption]. 33 (x / y) * (z \ x) = x * ((z * y) \ x). [copy(32),flip(a)]. 34 K(K(x,y),z) = 1 # label("KK"). [assumption]. 35 x * y != z | x * u != z | y = u # label("*-Cancellation 1"). [assumption]. 36 x * y != z | u * y != z | x = u # label("*-Cancellation 2"). [assumption]. 37 x / y != z | x / u != z | y = u # label("/-Cancellation 1"). [assumption]. 38 x / y != z | u / y != z | x = u # label("/-Cancellation 2"). [assumption]. 39 x \ y != z | x \ u != z | y = u # label("\-Cancellation 1"). [assumption]. 40 x \ y != z | u \ y != z | x = u # label("\-Cancellation 2"). [assumption]. 41 T(x,y) != z | T(u,y) != z | x = u # label("T-Cancellation 1"). [assumption]. 42 L(x,y,z) != u | L(w,y,z) != u | x = w # label("L-Cancellation 1"). [assumption]. 43 R(x,y,z) != u | R(w,y,z) != u | x = w # label("R-Cancellation 1"). [assumption]. 44 x * y != x * z | y = z # label("*-Cancellation 3"). [assumption]. 45 x * y != z * y | x = z # label("*-Cancellation 4"). [assumption]. 46 x / y != x / z | y = z # label("/-Cancellation 3"). [assumption]. 47 x / y != z / y | x = z # label("/-Cancellation 4"). [assumption]. 48 x \ y != x \ z | y = z # label("\-Cancellation 3"). [assumption]. 49 x \ y != z \ y | x = z # label("\-Cancellation 4"). [assumption]. 50 T(x,y) != T(z,y) | x = z # label("T-Cancellation 2"). [assumption]. 51 L(x,y,z) != L(u,y,z) | x = u # label("L-Cancellation 2"). [assumption]. 52 R(x,y,z) != R(u,y,z) | x = u # label("R-Cancellation 2"). [assumption]. 53 a(x,y,z) != 1 | L(z,y,x) = z. [clausify(1)]. 54 L(x,y,z) != x | a(z,y,x) = 1. [clausify(2)]. 55 T(x,y) != x | T(y,x) = y. [clausify(3)]. 56 T(x,y) != x | K(x,y) = 1. [clausify(4)]. 57 K(x,y) != 1 | T(x,y) = x. [clausify(5)]. 58 x != y | x * z = y * z # label("Aux 1"). [assumption]. 59 x != y | z * x = z * y # label("Aux 2"). [assumption]. 60 x != y | x / z = y / z # label("Aux 3"). [assumption]. 61 x != y | z / x = z / y # label("Aux 4"). [assumption]. 62 x != y | x \ z = y \ z # label("Aux 5"). [assumption]. 63 x != y | z \ x = z \ y # label("Aux 6"). [assumption]. 64 x != y | y != z | x = z # label("Transitivity ="). [assumption]. end_of_list. formulas(demodulators). end_of_list. % 7059 hints (9270 processed, 2211 redundant). ============================== end of clauses for search ============= ============================== SEARCH ================================ % Starting search at 0.18 seconds. given #1 (I,wt=5): 7 1 * x = x. [assumption]. given #2 (I,wt=5): 8 x * 1 = x. [assumption]. given #3 (I,wt=7): 9 x \ (x * y) = y. [assumption]. given #4 (I,wt=7): 10 x * (x \ y) = y. [assumption]. given #5 (I,wt=7): 11 (x * y) / y = x. [assumption]. given #6 (I,wt=7): 12 (x / y) * y = x. [assumption]. given #7 (I,wt=16): 14 a(x,y,z) = (x * (y * z)) \ ((x * y) * z). [copy(13),flip(a)]. given #8 (I,wt=11): 16 K(x,y) = (y * x) \ (x * y). [copy(15),flip(a)]. given #9 (I,wt=14): 18 L(x,y,z) = (z * y) \ (z * (y * x)). [copy(17),flip(a)]. given #10 (I,wt=14): 20 R(x,y,z) = ((x * y) * z) / (y * z). [copy(19),flip(a)]. given #11 (I,wt=9): 22 T(x,y) = y \ (x * y). [copy(21),flip(a)]. given #12 (I,wt=11): 23 T(T(x,y),z) = T(T(x,z),y). [assumption]. given #13 (I,wt=13): 25 L(T(x,y),z,u) = T(L(x,z,u),y). [copy(24),flip(a)]. given #14 (I,wt=13): 27 R(T(x,y),z,u) = T(R(x,z,u),y). [copy(26),flip(a)]. given #15 (I,wt=15): 29 R(L(x,y,z),u,w) = L(R(x,u,w),y,z). [copy(28),flip(a)]. given #16 (I,wt=15): 30 L(L(x,y,z),u,w) = L(L(x,u,w),y,z). [assumption]. given #17 (I,wt=15): 31 R(R(x,y,z),u,w) = R(R(x,u,w),y,z). [assumption]. given #18 (I,wt=15): 33 (x / y) * (z \ x) = x * ((z * y) \ x). [copy(32),flip(a)]. given #19 (I,wt=7): 34 K(K(x,y),z) = 1 # label("KK"). [assumption]. given #20 (I,wt=13): 35 x * y != z | x * u != z | y = u # label("*-Cancellation 1"). [assumption]. given #21 (I,wt=13): 36 x * y != z | u * y != z | x = u # label("*-Cancellation 2"). [assumption]. given #22 (I,wt=13): 37 x / y != z | x / u != z | y = u # label("/-Cancellation 1"). [assumption]. given #23 (I,wt=13): 38 x / y != z | u / y != z | x = u # label("/-Cancellation 2"). [assumption]. given #24 (I,wt=13): 39 x \ y != z | x \ u != z | y = u # label("\-Cancellation 1"). [assumption]. given #25 (I,wt=13): 40 x \ y != z | u \ y != z | x = u # label("\-Cancellation 2"). [assumption]. given #26 (I,wt=13): 41 T(x,y) != z | T(u,y) != z | x = u # label("T-Cancellation 1"). [assumption]. given #27 (I,wt=15): 42 L(x,y,z) != u | L(w,y,z) != u | x = w # label("L-Cancellation 1"). [assumption]. given #28 (I,wt=15): 43 R(x,y,z) != u | R(w,y,z) != u | x = w # label("R-Cancellation 1"). [assumption]. given #29 (I,wt=10): 44 x * y != x * z | y = z # label("*-Cancellation 3"). [assumption]. given #30 (I,wt=10): 45 x * y != z * y | x = z # label("*-Cancellation 4"). [assumption]. given #31 (I,wt=10): 46 x / y != x / z | y = z # label("/-Cancellation 3"). [assumption]. given #32 (I,wt=10): 47 x / y != z / y | x = z # label("/-Cancellation 4"). [assumption]. given #33 (I,wt=10): 48 x \ y != x \ z | y = z # label("\-Cancellation 3"). [assumption]. given #34 (I,wt=10): 49 x \ y != z \ y | x = z # label("\-Cancellation 4"). [assumption]. given #35 (I,wt=10): 50 T(x,y) != T(z,y) | x = z # label("T-Cancellation 2"). [assumption]. given #36 (I,wt=12): 51 L(x,y,z) != L(u,y,z) | x = u # label("L-Cancellation 2"). [assumption]. given #37 (I,wt=12): 52 R(x,y,z) != R(u,y,z) | x = u # label("R-Cancellation 2"). [assumption]. given #38 (I,wt=12): 53 a(x,y,z) != 1 | L(z,y,x) = z. [clausify(1)]. given #39 (I,wt=12): 54 L(x,y,z) != x | a(z,y,x) = 1. [clausify(2)]. given #40 (I,wt=10): 55 T(x,y) != x | T(y,x) = y. [clausify(3)]. given #41 (I,wt=10): 56 T(x,y) != x | K(x,y) = 1. [clausify(4)]. given #42 (I,wt=10): 57 K(x,y) != 1 | T(x,y) = x. [clausify(5)]. given #43 (I,wt=10): 58 x != y | x * z = y * z # label("Aux 1"). [assumption]. given #44 (I,wt=10): 59 x != y | z * x = z * y # label("Aux 2"). [assumption]. given #45 (I,wt=10): 60 x != y | x / z = y / z # label("Aux 3"). [assumption]. given #46 (I,wt=10): 61 x != y | z / x = z / y # label("Aux 4"). [assumption]. given #47 (I,wt=10): 62 x != y | x \ z = y \ z # label("Aux 5"). [assumption]. given #48 (I,wt=10): 63 x != y | z \ x = z \ y # label("Aux 6"). [assumption]. given #49 (I,wt=9): 64 x != y | y != z | x = z # label("Transitivity ="). [assumption]. given #50 (H,wt=5): 66 1 \ x = x. [para(7(a,1),9(a,1,2))]. given #51 (H,wt=5): 67 x \ x = 1. [para(8(a,1),9(a,1,2))]. given #52 (H,wt=5): 73 x / x = 1. [para(7(a,1),11(a,1,1))]. given #53 (H,wt=5): 74 x / 1 = x. [para(8(a,1),11(a,1,1))]. given #54 (H,wt=5): 105 T(x,x) = x. [para(22(a,2),9(a,1))]. given #55 (H,wt=5): 115 K(1,x) = 1. [para(34(a,1),34(a,1,1))]. given #56 (H,wt=5): 176 T(1,x) = 1. [hyper(57,a,115,a)]. given #57 (H,wt=5): 177 T(x,1) = x. [hyper(55,a,176,a)]. given #58 (H,wt=7): 75 x / (y \ x) = y. [para(10(a,1),11(a,1,1))]. given #59 (H,wt=7): 78 (x / y) \ x = y. [para(12(a,1),9(a,1,2))]. given #60 (H,wt=7): 165 x \ x = 1 * 1. [hyper(64,a,67,a,b,8,a(flip))]. given #61 (H,wt=7): 166 x * (y \ y) = x. [para(67(a,2),8(a,1,2))]. given #62 (H,wt=7): 167 (x / x) * y = y. [para(73(a,2),7(a,1,1))]. given #63 (H,wt=7): 174 T(x,T(x,y)) = x. [hyper(41,a,23,a,b,105,a(flip))]. given #64 (H,wt=8): 122 1 * x != y | y = x. [para(7(a,1),44(a,1)),flip(a)]. given #65 (H,wt=8): 123 1 * x != y | x = y. [para(7(a,1),44(a,2))]. given #66 (H,wt=8): 124 x * y != x | 1 = y. [para(8(a,1),44(a,1)),flip(a)]. given #67 (H,wt=8): 129 x * 1 != y | y = x. [para(8(a,1),45(a,1)),flip(a)]. given #68 (H,wt=8): 130 x * 1 != y | x = y. [para(8(a,1),45(a,2))]. given #69 (H,wt=8): 162 1 \ x != y | y = x. [para(66(a,1),48(a,1)),flip(a)]. given #70 (H,wt=8): 163 1 \ x != y | x = y. [para(66(a,1),48(a,2))]. given #71 (H,wt=8): 170 x / 1 != y | y = x. [para(74(a,1),47(a,1)),flip(a)]. given #72 (H,wt=8): 171 x / 1 != y | x = y. [para(74(a,1),47(a,2))]. given #73 (H,wt=8): 172 T(x,R(x,y,z)) = x. [hyper(43,a,27,a,b,105,a(flip))]. given #74 (H,wt=8): 173 T(x,L(x,y,z)) = x. [hyper(42,a,25,a,b,105,a(flip))]. given #75 (H,wt=8): 179 T(x,1) != y | y = x. [para(177(a,1),50(a,1)),flip(a)]. given #76 (H,wt=8): 202 x \ x != y | 1 = y. [para(165(a,2),122(a,1)),flip(b)]. given #77 (H,wt=8): 203 1 != x | y \ y = x. [para(166(a,1),122(a,1)),flip(b)]. given #78 (H,wt=8): 204 x / x != y | 1 = y. [para(167(a,1),124(a,1)),flip(a)]. given #79 (H,wt=9): 69 (x * (x \ 1)) * y = y. [para(10(a,2),7(a,1,1))]. given #80 (H,wt=9): 70 x * (y * (y \ 1)) = x. [para(10(a,2),8(a,1,2))]. given #81 (H,wt=9): 76 ((1 / x) * x) * y = y. [para(12(a,2),7(a,1,1))]. given #82 (H,wt=9): 77 x * ((1 / y) * y) = x. [para(12(a,2),8(a,1,2))]. given #83 (H,wt=9): 106 x * T(y,x) = y * x. [para(22(a,2),10(a,1,2))]. given #84 (H,wt=9): 108 T(x / y,y) = y \ x. [para(12(a,1),22(a,2,2))]. given #85 (H,wt=9): 149 T(K(x,y),z) = K(x,y). [hyper(57,a,34,a)]. given #86 (H,wt=7): 242 T(x,K(y,z)) = x. [hyper(55,a,149,a)]. given #87 (H,wt=7): 251 K(x,K(y,z)) = 1. [hyper(56,a,242,a)]. given #88 (H,wt=9): 156 (x / y) * y = x * 1. [hyper(64,a,12,a,b,8,a(flip))]. given #89 (H,wt=9): 157 (x * y) / y = 1 * x. [hyper(64,a,11,a,b,7,a(flip))]. given #90 (H,wt=9): 159 x * (x \ y) = y * 1. [hyper(64,a,10,a,b,8,a(flip))]. given #91 (H,wt=9): 160 (x * (x \ 1)) \ y = y. [para(10(a,2),66(a,1,1))]. given #92 (H,wt=9): 161 ((1 / x) * x) \ y = y. [para(12(a,2),66(a,1,1))]. given #93 (H,wt=9): 168 x / (y * (y \ 1)) = x. [para(10(a,2),74(a,1,2))]. given #94 (H,wt=9): 169 x / ((1 / y) * y) = x. [para(12(a,2),74(a,1,2))]. given #95 (H,wt=9): 175 T(T(x,y),x) = T(x,y). [para(105(a,1),23(a,1,1)),flip(a)]. given #96 (H,wt=9): 187 (x * y) / T(x,y) = y. [para(22(a,2),75(a,1,2))]. given #97 (H,wt=9): 191 (x / y) \ x = y / 1. [hyper(64,a,78,a,b,74,a(flip))]. given #98 (H,wt=9): 219 T((x * y) / x,x) = y. [hyper(35,a,12,a(flip),b,106,a),flip(a)]. given #99 (H,wt=9): 249 T(x,K(y,z)) = 1 \ x. [hyper(64,a,242,a,b,66,a(flip))]. given #100 (H,wt=9): 250 T(x,K(y,z)) = x * 1. [hyper(64,a,242,a,b,8,a(flip))]. given #101 (H,wt=10): 125 x * y != z | x \ z = y. [para(10(a,1),44(a,1)),flip(a)]. given #102 (H,wt=10): 127 (x / y) * z != x | y = z. [para(12(a,1),44(a,1)),flip(a)]. given #103 (H,wt=10): 131 x * (y \ z) != z | x = y. [para(10(a,1),45(a,2))]. given #104 (H,wt=10): 132 x * y != z | z / y = x. [para(12(a,1),45(a,1)),flip(a)]. given #105 (H,wt=8): 277 x != y | y / 1 = x. [para(8(a,1),132(a,1))]. given #106 (H,wt=10): 134 x / y != z | z * y = x. [para(11(a,1),47(a,1)),flip(a)]. given #107 (H,wt=8): 278 x != y | y * 1 = x. [para(74(a,1),134(a,1))]. given #108 (H,wt=10): 135 x \ y != z | x * z = y. [para(9(a,1),48(a,1)),flip(a)]. given #109 (H,wt=10): 189 x / y != z | z \ x = y. [para(75(a,1),46(a,1)),flip(a)]. given #110 (H,wt=10): 197 x \ y != z | y / z = x. [para(78(a,1),49(a,1)),flip(a)]. given #111 (H,wt=10): 253 T(x,K(y,z)) != u | u = x. [para(242(a,1),50(a,1)),flip(a)]. given #112 (H,wt=10): 254 T(x,K(y,z)) != u | x = u. [para(242(a,1),50(a,2))]. given #113 (H,wt=10): 256 (x / y) * y != z | z = x. [para(156(a,2),129(a,1))]. given #114 (H,wt=10): 257 (x / y) * y != z | x = z. [para(156(a,2),130(a,1))]. given #115 (H,wt=10): 259 (x * y) / y != z | z = x. [para(157(a,2),122(a,1))]. given #116 (H,wt=10): 260 (x * y) / y != z | x = z. [para(157(a,2),123(a,1))]. given #117 (H,wt=10): 262 x * (x \ y) != z | z = y. [para(159(a,2),129(a,1))]. given #118 (H,wt=10): 263 x * (x \ y) != z | y = z. [para(159(a,2),130(a,1))]. given #119 (H,wt=10): 271 (x / y) \ x != z | z = y. [para(191(a,2),170(a,1))]. given #120 (H,wt=10): 272 (x / y) \ x != z | y = z. [para(191(a,2),171(a,1))]. given #121 (H,wt=10): 282 x / (y \ x) != z | z = y. [para(10(a,1),259(a,1,1))]. given #122 (H,wt=10): 286 x \ (x * y) != z | z = y. [para(11(a,1),271(a,1,1))]. given #123 (H,wt=10): 288 x \ (x * y) != z | y = z. [para(11(a,1),272(a,1,1))]. given #124 (H,wt=11): 68 x \ (x * (y \ (y * z))) = z. [para(9(a,2),9(a,1))]. given #125 (H,wt=11): 71 x \ (y * (y \ (x * z))) = z. [para(10(a,2),9(a,1,2))]. given #126 (H,wt=11): 72 x * (y * (y \ (x \ z))) = z. [para(10(a,2),10(a,1,2))]. given #127 (H,wt=11): 79 (((x * y) / z) * z) / y = x. [para(12(a,2),11(a,1,1))]. given #128 (H,wt=10): 296 x != y | (x * z) / z = y. [para(79(a,1),259(a,1)),flip(b)]. given #129 (H,wt=11): 80 (((x / y) / z) * z) * y = x. [para(12(a,2),12(a,1,1))]. given #130 (H,wt=11): 85 (x * y) * K(y,x) = y * x. [para(16(a,2),10(a,1,2))]. given #131 (H,wt=11): 107 T(x,x \ y) = (x \ y) \ y. [para(10(a,1),22(a,2,2))]. given #132 (H,wt=11): 116 1 * x != y | z != y | x = z. [para(7(a,1),35(b,1))]. given #133 (H,wt=9): 306 x != y | z != y | x = z. [para(7(a,1),116(a,1))]. given #134 (H,wt=11): 117 x != y | x * z != y | 1 = z. [para(8(a,1),35(a,1))]. given #135 (H,wt=11): 150 ((x / y) * y) * z = x * z. [hyper(58,a,12,a)]. given #136 (H,wt=11): 151 (x * (x \ y)) * z = y * z. [hyper(58,a,10,a)]. given #137 (H,wt=11): 152 x * (y * (y \ z)) = x * z. [hyper(59,a,10,a)]. given #138 (H,wt=11): 153 (x * (x \ y)) \ z = y \ z. [hyper(62,a,10,a)]. given #139 (H,wt=11): 154 (x * y) / y = (x / z) * z. [hyper(64,a,12,a,b,11,a(flip)),flip(a)]. given #140 (H,wt=11): 155 (x / y) * y = z * (z \ x). [hyper(64,a,12,a,b,10,a(flip))]. given #141 (H,wt=11): 158 x \ (x * y) = z * (z \ y). [hyper(64,a,10,a,b,9,a(flip)),flip(a)]. given #142 (H,wt=11): 180 (x * y) / y = z / (x \ z). [hyper(64,a,75,a,b,11,a(flip)),flip(a)]. given #143 (H,wt=11): 181 x / (y \ x) = z * (z \ y). [hyper(64,a,75,a,b,10,a(flip))]. given #144 (H,wt=11): 182 (x / (y \ x)) * z = y * z. [hyper(58,a,75,a)]. given #145 (H,wt=11): 185 (x * y) / K(x,y) = y * x. [para(16(a,2),75(a,1,2))]. given #146 (H,wt=11): 190 x / (y / ((z \ x) \ y)) = z. [para(75(a,2),75(a,1,2))]. given #147 (H,wt=11): 192 (x / y) \ x = z * (z \ y). [hyper(64,a,78,a,b,10,a(flip))]. given #148 (H,wt=11): 193 ((x / y) \ x) * z = y * z. [hyper(58,a,78,a)]. given #149 (H,wt=11): 194 ((x / (y / z)) \ x) \ y = z. [hyper(37,a,75,a,b,78,a(flip))]. given #150 (H,wt=11): 198 x * ((x * y) \ x) = x / y. [hyper(64,a,33,a(flip),b,166,a)]. given #151 (H,wt=9): 321 1 * (x \ 1) = 1 / x. [para(7(a,1),198(a,1,2,1))]. given #152 (H,wt=7): 325 1 / x = x \ 1. [hyper(123,a,321,a),flip(a)]. given #153 (H,wt=7): 326 (x \ 1) \ 1 = x. [hyper(116,a,321,a,b,75,a(flip))]. given #154 (H,wt=7): 327 (x \ 1) * x = 1. [hyper(38,a,157,a,b,321,a(flip))]. given #155 (H,wt=7): 329 1 / (1 / x) = x. [hyper(306,a,78,a(flip),b,325,a),flip(a)]. given #156 (H,wt=9): 323 x / (x \ 1) = x * x. [para(160(a,1),198(a,1,2)),flip(a)]. given #157 (H,wt=9): 330 T(x \ 1,x) = x \ 1. [para(325(a,1),108(a,1,1))]. given #158 (H,wt=7): 337 K(x \ 1,x) = 1. [hyper(56,a,330,a)]. given #159 (H,wt=7): 341 K(x,x \ 1) = 1. [para(326(a,1),337(a,1,1))]. given #160 (H,wt=9): 340 x * K(y \ 1,y) = x. [para(337(a,2),8(a,1,2))]. given #161 (H,wt=10): 328 1 / x != y | x \ 1 = y. [para(321(a,1),122(a,1)),flip(b)]. given #162 (H,wt=10): 331 x \ 1 != y | y \ 1 = x. [para(325(a,1),189(a,1))]. given #163 (H,wt=10): 332 (x \ 1) \ 1 != y | y = x. [para(325(a,1),271(a,1,1))]. given #164 (H,wt=10): 333 (x \ 1) \ 1 != y | x = y. [para(325(a,1),272(a,1,1))]. given #165 (H,wt=10): 347 1 != x | K(y \ 1,y) = x. [para(340(a,1),122(a,1)),flip(b)]. given #166 (H,wt=11): 199 x * ((y * x) \ x) = y \ x. [hyper(64,a,33,a(flip),b,167,a)]. given #167 (H,wt=11): 235 T(x / (x / y),x / y) = y. [hyper(64,a,108,a,b,78,a)]. given #168 (H,wt=11): 240 x \ (K(y,z) * x) = K(y,z). [hyper(64,a,22,a(flip),b,149,a)]. given #169 (H,wt=11): 241 T(K(x,y),z) = T(K(x,y),u). [hyper(64,a,149,a,b,149,a(flip))]. given #170 (H,wt=11): 244 K(x,y) * z = z * K(x,y). [para(149(a,1),106(a,1,2)),flip(a)]. given #171 (H,wt=11): 245 T(T(K(x,y),z),u) = K(x,y). [para(149(a,2),149(a,1,1))]. given #172 (H,wt=11): 246 T(T(x,K(y,z)),K(u,w)) = x. [hyper(64,a,242,a,b,242,a)]. given #173 (H,wt=10): 370 x != y | T(x,K(z,u)) = y. [para(246(a,1),253(a,1)),flip(b)]. given #174 (H,wt=11): 247 x / K(y,z) = K(y,z) \ x. [hyper(64,a,108,a(flip),b,242,a),flip(a)]. given #175 (H,wt=11): 248 K(x,y) \ (z * K(x,y)) = z. [hyper(64,a,22,a(flip),b,242,a)]. given #176 (H,wt=11): 252 (K(x,y) \ z) * K(x,y) = z. [hyper(39,a,22,a(flip),b,242,a(flip))]. given #177 (H,wt=11): 268 x / T(y,y \ x) = y \ x. [para(10(a,1),187(a,1,1))]. given #178 (H,wt=11): 269 (K(x,y) * z) / K(x,y) = z. [para(149(a,1),187(a,1,2))]. given #179 (H,wt=11): 270 (x * K(y,z)) / x = K(y,z). [para(242(a,1),187(a,1,2))]. given #180 (H,wt=11): 291 (x / y) \ (z * (z \ x)) = y. [para(12(a,1),71(a,1,2,2,2))]. given #181 (H,wt=10): 377 x != y | (z / x) \ z = y. [para(291(a,1),286(a,1)),flip(b)]. given #182 (H,wt=11): 298 ((x / y) * y) * (x \ z) = z. [para(75(a,1),80(a,1,1,1,1))]. given #183 (H,wt=11): 303 (K(x,y) \ z) \ z = K(x,y). [hyper(64,a,149,a(flip),b,107,a),flip(a)]. given #184 (H,wt=11): 307 (x / (y * (y \ z))) * z = x. [hyper(257,a,152,a),flip(a)]. given #185 (H,wt=11): 320 (x * y) \ x = x \ (x / y). [hyper(125,a,198,a),flip(a)]. given #186 (H,wt=11): 322 x / (x \ y) = x * (y \ x). [para(10(a,1),198(a,1,2,1)),flip(a)]. given #187 (H,wt=11): 334 T(x,K(y,z)) = (x \ 1) \ 1. [hyper(306,a,242,a,b,326,a)]. given #188 (H,wt=11): 336 1 / (1 / x) = (x \ 1) \ 1. [hyper(306,a,326,a,b,329,a),flip(a)]. given #189 (H,wt=11): 338 K(x \ 1,x) = K(y \ 1,y). [hyper(306,a,337,a,b,337,a)]. given #190 (H,wt=11): 339 K(x \ 1,x) = (y \ 1) * y. [hyper(306,a,327,a,b,337,a),flip(a)]. given #191 (H,wt=11): 342 K(x \ 1,x) = K(y,y \ 1). [hyper(306,a,337,a,b,341,a)]. given #192 (H,wt=11): 349 (x * y) \ y = y \ (x \ y). [hyper(125,a,199,a),flip(a)]. given #193 (H,wt=11): 350 (x / y) \ y = y * (x \ y). [para(12(a,1),199(a,1,2,1)),flip(a)]. given #194 (H,wt=11): 354 K(x,y) * (y * x) = x * y. [hyper(39,a,16,a(flip),b,240,a),flip(a)]. given #195 (H,wt=11): 371 K(x,y) \ (x * y) = y * x. [hyper(64,a,185,a(flip),b,247,a),flip(a)]. given #196 (H,wt=11): 376 K(x,y) = (x * y) / (y * x). [para(85(a,1),270(a,1,1)),flip(a)]. given #197 (H,wt=11): 381 (x * y) * (x \ (x / y)) = x. [hyper(135,a,320,a)]. given #198 (H,wt=11): 383 T(x,K(y,z)) = T(x,x \ 1). [hyper(306,a,107,a,b,334,a),flip(a)]. given #199 (H,wt=11): 386 (x * y) * (y \ (x \ y)) = y. [hyper(135,a,349,a)]. given #200 (H,wt=11): 387 x / (x * (y \ x)) = y / x. [hyper(197,a,350,a)]. given #201 (H,wt=11): 394 (x / y) / x = x / (x * y). [para(78(a,1),387(a,1,2,2)),flip(a)]. given #202 (H,wt=11): 395 (x * y) / x = x / (x / y). [para(198(a,1),387(a,1,2)),flip(a)]. given #203 (H,wt=11): 396 (x / (x * y)) \ (x / y) = x. [hyper(189,a,394,a)]. given #204 (H,wt=11): 397 (x * (y \ x)) / x = x / y. [para(75(a,1),395(a,2,2))]. given #205 (H,wt=9): 400 T(x / y,x) = y \ x. [para(397(a,1),219(a,1,1))]. given #206 (H,wt=9): 403 T(x,y) = (x \ y) \ y. [para(75(a,1),400(a,1,1))]. given #207 (H,wt=9): 404 T(x,x \ y) = T(x,y). [hyper(306,a,107,a,b,403,a)]. given #208 (H,wt=9): 406 x / T(y,x) = y \ x. [hyper(197,a,403,a(flip))]. given #209 (H,wt=9): 407 (x \ y) * T(x,y) = y. [hyper(135,a,403,a(flip))]. given #210 (H,wt=9): 414 T(x,x * y) = T(x,y). [para(9(a,1),404(a,1,2)),flip(a)]. given #211 (H,wt=10): 412 T(x,x \ R(x,y,z)) = x. [hyper(306,a,172,a(flip),b,404,a),flip(a)]. given #212 (H,wt=11): 398 (x / y) * x = x * (y \ x). [hyper(134,a,397,a)]. given #213 (H,wt=11): 399 K(x,y) / z = z \ K(x,y). [hyper(64,a,269,a(flip),b,397,a),flip(a)]. given #214 (H,wt=11): 410 T(x \ y,y) = T(x,y) \ y. [para(403(a,2),403(a,2,1))]. given #215 (H,wt=11): 416 T(x,y) / x = x \ T(x,y). [para(174(a,1),406(a,1,2))]. given #216 (H,wt=11): 419 x / T(x,y) = T(x,y) \ x. [para(175(a,1),406(a,1,2))]. given #217 (H,wt=12): 90 x \ (1 * (x * y)) = L(y,x,1). [para(7(a,1),18(a,2,1)),flip(a)]. given #218 (H,wt=10): 429 x \ (x * y) = L(y,x,1). [para(7(a,1),90(a,1,2))]. given #219 (H,wt=6): 430 L(x,y,1) = x. [hyper(288,a,429,a),flip(a)]. given #220 (H,wt=6): 432 a(1,x,y) = 1. [hyper(54,a,430,a)]. given #221 (H,wt=10): 433 L(x,y,K(z,K(u,w))) = x. [para(251(a,2),430(a,1,3))]. given #222 (H,wt=10): 434 L(x,y,K(z \ 1,z)) = x. [para(337(a,2),430(a,1,3))]. given #223 (H,wt=10): 435 L(x,y,K(z,z \ 1)) = x. [para(341(a,2),430(a,1,3))]. given #224 (H,wt=10): 436 a(K(x,K(y,z)),u,w) = 1. [para(251(a,2),432(a,1,1))]. given #225 (H,wt=12): 91 (x * 1) \ (x * y) = L(y,1,x). [para(7(a,1),18(a,2,2,2)),flip(a)]. given #226 (H,wt=10): 440 x \ (x * y) = L(y,1,x). [para(8(a,1),91(a,1,1))]. given #227 (H,wt=6): 441 L(x,1,y) = x. [hyper(288,a,440,a),flip(a)]. given #228 (H,wt=9): 442 L(x,1,y) != z | x = z. [para(440(a,1),288(a,1))]. given #229 (H,wt=12): 92 (x * y) \ (x * y) = L(1,y,x). [para(8(a,1),18(a,2,2,2)),flip(a)]. given #230 (H,wt=6): 445 L(1,x,y) = 1. [hyper(202,a,92,a),flip(a)]. given #231 (H,wt=6): 447 a(x,y,1) = 1. [hyper(54,a,445,a)]. given #232 (H,wt=12): 98 ((x * 1) * y) / y = R(x,1,y). [para(7(a,1),20(a,2,2)),flip(a)]. given #233 (H,wt=10): 448 (x * y) / y = R(x,1,y). [para(8(a,1),98(a,1,1,1))]. given #234 (H,wt=6): 449 R(x,1,y) = x. [hyper(260,a,448,a),flip(a)]. given #235 (H,wt=9): 450 R(x,1,y) != z | x = z. [para(448(a,1),260(a,1))]. given #236 (H,wt=10): 452 R(x,K(y,K(z,u)),w) = x. [para(251(a,2),449(a,1,2))]. given #237 (H,wt=10): 453 R(x,K(y,y \ 1),z) = x. [para(341(a,2),449(a,1,2))]. given #238 (H,wt=12): 99 (x * y) / (y * 1) = R(x,y,1). [para(8(a,1),20(a,2,1)),flip(a)]. given #239 (H,wt=10): 454 (x * y) / y = R(x,y,1). [para(8(a,1),99(a,1,2))]. given #240 (H,wt=6): 455 R(x,y,1) = x. [hyper(260,a,454,a),flip(a)]. given #241 (H,wt=10): 457 R(x,y,K(z \ 1,z)) = x. [para(337(a,2),455(a,1,3))]. given #242 (H,wt=10): 458 R(x,y,K(z,z \ 1)) = x. [para(341(a,2),455(a,1,3))]. given #243 (H,wt=12): 137 T(x,y) != y \ z | x * y = z. [para(22(a,2),48(a,1))]. given #244 (H,wt=12): 200 (x * (x \ 1)) * y != z | z = y. [para(10(a,2),122(a,1,1))]. given #245 (H,wt=12): 205 x * (y * (y \ 1)) != z | x = z. [para(10(a,2),130(a,1,2))]. given #246 (H,wt=12): 206 (x * (x \ 1)) \ y != z | z = y. [para(10(a,2),162(a,1,1))]. given #247 (H,wt=12): 207 (x * (x \ 1)) \ y != z | y = z. [para(10(a,2),163(a,1,1))]. given #248 (H,wt=12): 208 ((1 / x) * x) \ y != z | y = z. [para(12(a,2),163(a,1,1))]. given #249 (H,wt=12): 209 x / (y * (y \ 1)) != z | x = z. [para(10(a,2),171(a,1,2))]. given #250 (H,wt=12): 210 x / ((1 / y) * y) != z | x = z. [para(12(a,2),171(a,1,2))]. given #251 (H,wt=12): 214 L(x \ 1,x,y) = (y * x) \ y. [para(70(a,1),18(a,2,2))]. given #252 (H,wt=12): 216 R(1 / x,x,y) = y / (x * y). [para(76(a,1),20(a,2,1))]. given #253 (H,wt=12): 231 x * y != z * x | T(z,x) = y. [para(106(a,1),44(a,1)),flip(a)]. given #254 (H,wt=12): 232 x * T(y,x) != z * x | z = y. [para(106(a,2),45(a,2)),flip(a)]. given #255 (H,wt=12): 239 T(x,y) != y \ z | z / y = x. [para(108(a,1),50(a,1)),flip(a)]. given #256 (H,wt=12): 243 T(x,y) != K(z,u) | K(z,u) = x. [para(149(a,1),50(a,1)),flip(a)]. given #257 (H,wt=12): 255 x * 1 != y * z | x / z = y. [para(156(a,1),45(a,1))]. given #258 (H,wt=12): 258 x / y != 1 * z | z * y = x. [para(157(a,1),47(a,1)),flip(a)]. given #259 (H,wt=12): 261 x * 1 != y * z | y \ x = z. [para(159(a,1),44(a,1))]. given #260 (H,wt=12): 274 T(x,y) != z | (y * z) / y = x. [para(219(a,1),50(a,1)),flip(a)]. given #261 (H,wt=12): 281 x * T(y,x) != z | y * x = z. [para(187(a,1),256(a,1,1)),flip(b)]. given #262 (H,wt=12): 283 (x * T(y,x)) / x != z | y = z. [para(106(a,2),260(a,1,1))]. given #263 (H,wt=12): 287 x \ (y * x) != z | T(y,x) = z. [para(187(a,1),271(a,1,1)),flip(b)]. given #264 (H,wt=12): 290 T((x * y) / x,x) != z | y = z. [para(108(a,2),288(a,1))]. given #265 (H,wt=12): 361 T(K(x,y),z) != u | K(x,y) = u. [para(241(a,1),179(a,1)),flip(b)]. given #266 (H,wt=12): 368 K(x,y) != z | T(K(x,y),u) = z. [para(245(a,1),179(a,1)),flip(b)]. given #267 (H,wt=12): 409 x / T(y,x) != z | y \ x = z. [para(403(a,2),282(a,1,2)),flip(b)]. given #268 (H,wt=12): 420 (x \ y) \ y != z | T(x,y) = z. [para(406(a,1),271(a,1,1)),flip(b)]. given #269 (H,wt=12): 425 T(x,x * y) != T(z,y) | x = z. [para(414(a,2),50(a,1))]. given #270 (H,wt=12): 460 L(x \ 1,x,y) = y \ (y / x). [hyper(306,a,320,a(flip),b,214,a),flip(a)]. given #271 (H,wt=12): 461 L(x \ 1,x,1 / x) = 1 / x. [hyper(306,a,161,a(flip),b,214,a),flip(a)]. given #272 (H,wt=12): 465 x / L(y \ 1,y,x) = x * y. [hyper(197,a,214,a(flip))]. given #273 (H,wt=12): 466 (x * y) * L(y \ 1,y,x) = x. [hyper(135,a,214,a(flip))]. given #274 (H,wt=12): 471 x * L(y \ 1,y,x) = x / y. [para(214(a,2),198(a,1,2))]. given #275 (H,wt=12): 472 R(1 / x,x,x \ 1) = x \ 1. [hyper(306,a,168,a(flip),b,216,a),flip(a)]. given #276 (H,wt=12): 473 R(1 / x,x,y) \ y = x * y. [hyper(189,a,216,a(flip))]. given #277 (H,wt=12): 476 R(x \ 1,x,y) = y / (x * y). [para(325(a,1),216(a,1,1))]. given #278 (H,wt=12): 487 x \ y != z | T(y / x,x) = z. [para(12(a,1),287(a,1,2))]. given #279 (H,wt=12): 488 x \ 1 != y | T(x \ 1,x) = y. [para(327(a,1),287(a,1,2))]. given #280 (H,wt=12): 489 T(x / y,y) != z | y \ x = z. [para(10(a,1),290(a,1,1,1))]. given #281 (H,wt=12): 490 T(x / y,x) != z | y \ x = z. [para(397(a,1),290(a,1,1))]. given #282 (H,wt=12): 495 x \ y != z | T(y / x,y) = z. [para(78(a,1),420(a,1,1))]. given #283 (H,wt=12): 496 T(x,x \ y) != z | T(x,y) = z. [para(107(a,2),420(a,1))]. given #284 (H,wt=12): 501 L(x \ 1,x,x \ 1) = 1 / x. [para(325(a,1),461(a,1,3))]. given #285 (H,wt=12): 502 x \ (x / L(y \ 1,y,x)) = y. [hyper(125,a,465,a(flip))]. given #286 (H,wt=12): 509 R(1 / x,x,1 / x) = x \ 1. [para(325(a,2),472(a,1,3))]. given #287 (H,wt=12): 511 T(x,y) != z | y \ (x * y) = z. [para(11(a,1),489(a,1,1))]. given #288 (H,wt=12): 513 T(x,y) != z | T(x,x * y) = z. [para(9(a,1),496(a,1,2))]. given #289 (H,wt=13): 86 x \ ((y \ x) * y) = K(y \ x,y). [para(10(a,1),16(a,2,1)),flip(a)]. given #290 (H,wt=13): 87 ((x \ y) * x) \ y = K(x,x \ y). [para(10(a,1),16(a,2,2)),flip(a)]. given #291 (H,wt=13): 88 x \ (y * (x / y)) = K(y,x / y). [para(12(a,1),16(a,2,1)),flip(a)]. given #292 (H,wt=13): 89 (x * (y / x)) \ y = K(y / x,x). [para(12(a,1),16(a,2,2)),flip(a)]. given #293 (H,wt=13): 111 (1 / x) * (y \ 1) = (y * x) \ 1. [para(33(a,2),7(a,1))]. given #294 (H,wt=13): 118 x != y | z * u != y | z \ x = u. [para(10(a,1),35(a,1))]. given #295 (H,wt=13): 119 x != y | z * u != y | x / u = z. [para(12(a,1),36(a,1))]. given #296 (H,wt=13): 120 x != y | z / u != y | x * u = z. [para(11(a,1),38(a,1))]. given #297 (H,wt=13): 121 x != y | z \ u != y | z * x = u. [para(9(a,1),39(a,1))]. given #298 (H,wt=13): 196 x != y | z \ u != y | u / x = z. [para(78(a,1),40(a,1))]. given #299 (H,wt=13): 218 x * (y * T(z,y)) = x * (z * y). [hyper(59,a,106,a)]. given #300 (H,wt=13): 220 x * (y * (y \ T(z,x))) = z * x. [para(10(a,2),106(a,1,2))]. given #301 (H,wt=13): 226 T(x,y) \ (x * y) = T(y,T(x,y)). [para(106(a,1),22(a,2,2)),flip(a)]. given #302 (H,wt=13): 227 x * T(T(y,x),z) = T(y,z) * x. [para(23(a,1),106(a,1,2))]. given #303 (H,wt=13): 233 R(x,y,z) * x = x * R(x,y,z). [para(172(a,1),106(a,1,2))]. given #304 (H,wt=13): 234 L(x,y,z) * x = x * L(x,y,z). [para(173(a,1),106(a,1,2))]. given #305 (H,wt=13): 236 T(T(x / y,z),y) = T(y \ x,z). [para(108(a,1),23(a,1,1)),flip(a)]. given #306 (H,wt=13): 273 (x * T(T(y,x),z)) / x = T(y,z). [hyper(41,a,23,a,b,219,a),flip(a)]. given #307 (H,wt=13): 275 T(x,K(y,z)) = K(u,K(w,v5)) \ x. [para(251(a,2),249(a,2,1))]. given #308 (H,wt=13): 276 T(x,K(y,z)) = x * K(u,K(w,v5)). [para(251(a,2),250(a,2,2))]. given #309 (H,wt=13): 299 x * K(y \ x,y) = (y \ x) * y. [para(10(a,1),85(a,1,1))]. given #310 (H,wt=13): 318 (x * (y \ 1)) \ 1 = y * (x \ 1). [hyper(116,a,33,a(flip),b,182,a(flip))]. given #311 (H,wt=13): 343 K(x,x \ 1) * (y \ 1) = 1 / y. [para(341(a,2),321(a,1,1))]. given #312 (H,wt=13): 344 x * K(y \ 1,y) = 1 / (1 / x). [hyper(306,a,329,a,b,340,a),flip(a)]. given #313 (H,wt=13): 345 ((x \ 1) \ 1) * K(y \ 1,y) = x. [hyper(306,a,326,a(flip),b,340,a),flip(a)]. given #314 (H,wt=13): 346 (1 / x) * K(y \ 1,y) = x \ 1. [hyper(306,a,325,a(flip),b,340,a),flip(a)]. given #315 (H,wt=13): 351 (x \ 1) * (x \ 1) = x \ (x \ 1). [para(160(a,1),199(a,1,2))]. given #316 (H,wt=13): 362 x * T(K(y,z),u) = K(y,z) * x. [para(241(a,1),106(a,1,2))]. given #317 (H,wt=13): 384 T(K(x \ 1,x),y) = K(z \ 1,z). [hyper(306,a,149,a,b,338,a)]. given #318 (H,wt=13): 388 K(x \ y,x) * y = (x \ y) * x. [hyper(64,a,152,a(flip),b,354,a)]. given #319 (H,wt=13): 389 K(x,y / x) * y = x * (y / x). [para(12(a,1),354(a,1,2))]. given #320 (H,wt=13): 391 ((x \ y) * x) / y = K(x \ y,x). [hyper(40,a,192,a,b,371,a)]. given #321 (H,wt=13): 402 T(T(x / y,z),x) = T(y \ x,z). [para(400(a,1),23(a,1,1)),flip(a)]. given #322 (H,wt=13): 411 T(x,x \ K(y,z)) = T(x,x \ 1). [hyper(306,a,383,a(flip),b,404,a),flip(a)]. given #323 (H,wt=13): 417 R(x,y,z) / x = x \ R(x,y,z). [para(172(a,1),406(a,1,2))]. given #324 (H,wt=13): 418 L(x,y,z) / x = x \ L(x,y,z). [para(173(a,1),406(a,1,2))]. given #325 (H,wt=13): 422 (x \ R(x,y,z)) * x = R(x,y,z). [para(172(a,1),407(a,1,2))]. given #326 (H,wt=13): 423 (x \ L(x,y,z)) * x = L(x,y,z). [para(173(a,1),407(a,1,2))]. given #327 (H,wt=13): 437 L(x,y,K(z,K(u,w))) != v5 | x = v5. [para(433(a,1),51(a,2))]. given #328 (H,wt=13): 438 L(x,y,K(z \ 1,z)) != u | x = u. [para(434(a,1),51(a,2))]. given #329 (H,wt=13): 444 L(x,K(y,K(z,u)),w) != v5 | x = v5. [para(251(a,2),442(a,1,2))]. given #330 (H,wt=13): 515 (x \ 1) * (y \ 1) = (y * x) \ 1. [para(325(a,1),111(a,1,1))]. given #331 (H,wt=13): 519 x / K(y \ 1,y) = (x \ 1) \ 1. [hyper(119,a,326,a(flip),b,340,a)]. given #332 (H,wt=13): 520 (x \ 1) / (y \ 1) = 1 / (y \ x). [hyper(119,a,153,a(flip),b,111,a)]. given #333 (H,wt=13): 545 T(x,K(y,z)) = K(u,K(w,v5)) * x. [hyper(121,a,246,a(flip),b,275,a(flip)),flip(a)]. given #334 (H,wt=13): 548 (x \ 1) * K(y,y \ 1) = 1 / x. [hyper(64,a,244,a(flip),b,343,a)]. given #335 (H,wt=13): 549 K(x \ 1,x) * y = 1 / (1 / y). [hyper(64,a,244,a,b,344,a)]. given #336 (H,wt=13): 550 x * K(y,y \ 1) = 1 / (1 / x). [para(326(a,1),344(a,1,2,1))]. given #337 (H,wt=13): 551 K(x \ 1,x) \ y = (y \ 1) \ 1. [hyper(36,a,252,a,b,345,a)]. given #338 (H,wt=13): 553 (1 / x) * K(y,y \ 1) = x \ 1. [para(326(a,1),346(a,1,2,1))]. given #339 (H,wt=13): 558 (x \ 1) / (y \ 1) = (y \ x) \ 1. [hyper(119,a,153,a(flip),b,515,a)]. given #340 (H,wt=13): 561 ((x \ 1) * y) \ 1 = (y \ 1) * x. [para(326(a,1),515(a,1,2)),flip(a)]. given #341 (H,wt=13): 562 T(x,x \ 1) = x / K(y \ 1,y). [hyper(306,a,107,a,b,519,a)]. given #342 (H,wt=13): 564 K(x \ 1,x) * y = (y \ 1) \ 1. [hyper(306,a,336,a(flip),b,549,a),flip(a)]. given #343 (H,wt=13): 565 x * K(y,y \ 1) = (x \ 1) \ 1. [hyper(306,a,336,a(flip),b,550,a),flip(a)]. given #344 (H,wt=13): 566 (1 / (1 / x)) * K(y,y \ 1) = x. [hyper(306,a,78,a(flip),b,553,a),flip(a)]. given #345 (H,wt=13): 568 (x \ (y \ 1)) \ 1 = y / (x \ 1). [para(326(a,1),558(a,1,1)),flip(a)]. given #346 (H,wt=13): 569 ((x \ 1) \ y) \ 1 = (y \ 1) / x. [para(326(a,1),558(a,1,2)),flip(a)]. given #347 (H,wt=13): 575 K(x,x \ 1) * y = (y \ 1) \ 1. [para(326(a,1),564(a,1,1,1))]. given #348 (H,wt=13): 579 (x / (y \ 1)) \ 1 = y \ (x \ 1). [hyper(331,a,568,a)]. given #349 (H,wt=13): 581 ((x \ 1) / y) \ 1 = (y \ 1) \ x. [hyper(331,a,569,a)]. given #350 (H,wt=13): 583 T(x,x \ 1) = K(y,y \ 1) * x. [hyper(306,a,107,a,b,575,a)]. given #351 (H,wt=13): 584 (x \ 1) \ (y \ 1) = (y / x) \ 1. [para(326(a,1),579(a,1,1,2)),flip(a)]. given #352 (H,wt=14): 93 (x * y) * L(z,y,x) = x * (y * z). [para(18(a,2),10(a,1,2))]. given #353 (H,wt=12): 589 L(x \ T(y * x,y),x,y) = y. [hyper(35,a,220,a(flip),b,93,a),flip(a)]. given #354 (H,wt=14): 95 L(x \ y,x,z) = (z * x) \ (z * y). [para(10(a,1),18(a,2,2,2))]. given #355 (H,wt=14): 102 R(x,y,z) * (y * z) = (x * y) * z. [para(20(a,2),12(a,1,1))]. given #356 (H,wt=14): 103 R(x / y,y,z) = (x * z) / (y * z). [para(12(a,1),20(a,2,1,1))]. given #357 (H,wt=14): 126 x * (x \ (y * z)) != y * u | u = z. [para(10(a,2),44(a,2)),flip(a)]. given #358 (H,wt=14): 128 ((x * y) / z) * z != x * u | y = u. [para(12(a,2),44(a,1))]. given #359 (H,wt=14): 136 (x * y) \ z != K(y,x) | y * x = z. [para(16(a,2),48(a,1)),flip(a)]. given #360 (H,wt=14): 138 x \ (y * z) != K(y,z) | z * y = x. [para(16(a,2),49(a,1)),flip(a)]. given #361 (H,wt=14): 139 T(x,y) != (T(z,y) / u) * u | z = x. [para(12(a,2),50(a,1)),flip(a)]. given #362 (H,wt=14): 140 T(T(x,y),z) != T(u,y) | T(x,z) = u. [para(23(a,1),50(a,1))]. given #363 (H,wt=14): 183 R(x,y,z) \ ((x * y) * z) = y * z. [hyper(37,a,20,a(flip),b,75,a),flip(a)]. given #364 (H,wt=14): 186 (x * (y * z)) / L(z,y,x) = x * y. [para(18(a,2),75(a,1,2))]. given #365 (H,wt=14): 212 R(x,x \ 1,y) = y / ((x \ 1) * y). [para(69(a,1),20(a,2,1))]. given #366 (H,wt=14): 264 x * ((x \ 1) * y) = L(y,x \ 1,x). [hyper(64,a,18,a,b,160,a),flip(a)]. given #367 (H,wt=14): 265 (1 / x) * (x * y) = L(y,x,1 / x). [hyper(64,a,18,a,b,161,a),flip(a)]. given #368 (H,wt=14): 266 (x * y) * (y \ 1) = R(x,y,y \ 1). [hyper(64,a,20,a,b,168,a),flip(a)]. given #369 (H,wt=14): 267 (x * (1 / y)) * y = R(x,1 / y,y). [hyper(64,a,20,a,b,169,a),flip(a)]. given #370 (H,wt=14): 279 T(T(x,K(y,z)),K(u,w)) != v5 | v5 = x. [para(242(a,2),253(a,1))]. given #371 (H,wt=14): 284 (x * y) * K(y,x) != z | y * x = z. [para(16(a,2),262(a,1,2)),flip(b)]. given #372 (H,wt=14): 289 (x * y) / K(x,y) != z | y * x = z. [para(16(a,2),282(a,1,2)),flip(b)]. given #373 (H,wt=14): 292 x \ ((x * y) * L(z,y,x)) = y * z. [para(18(a,2),71(a,1,2,2))]. given #374 (H,wt=14): 293 L(x \ (y \ z),x,y) = (y * x) \ z. [para(72(a,1),18(a,2,2))]. given #375 (H,wt=14): 295 (R(x,y,z) * (y * z)) / z = x * y. [para(20(a,2),79(a,1,1,1))]. given #376 (H,wt=14): 297 R((x / y) / z,z,y) = x / (z * y). [para(80(a,1),20(a,2,1))]. given #377 (H,wt=14): 302 (x * y) \ (y * x) != z | K(y,x) = z. [para(85(a,1),286(a,1,2)),flip(b)]. given #378 (H,wt=14): 308 x / y != (z / u) * u | z * y = x. [para(154(a,1),47(a,1)),flip(a)]. given #379 (H,wt=14): 309 ((x / y) * y) * z != u | x * z = u. [para(154(a,1),256(a,1,1)),flip(b)]. given #380 (H,wt=10): 650 x != y | (x / z) * z = y. [para(80(a,1),309(a,1))]. given #381 (H,wt=10): 653 x != y | z * (z \ x) = y. [para(298(a,1),309(a,1))]. given #382 (H,wt=14): 310 (x / y) * y != z * u | z \ x = u. [para(155(a,2),44(a,1))]. given #383 (H,wt=14): 311 x * (x \ y) != z * u | y / u = z. [para(155(a,1),45(a,1))]. given #384 (H,wt=12): 659 1 * x != y * z | x / z = y. [para(66(a,1),311(a,1,2))]. given #385 (H,wt=14): 312 x \ (x * y) != z * u | z \ y = u. [para(158(a,2),44(a,1))]. given #386 (H,wt=14): 313 x \ y != z * (z \ u) | x * u = y. [para(158(a,1),48(a,1)),flip(a)]. given #387 (H,wt=14): 314 x * (y * (y \ z)) != u | x * z = u. [para(158(a,1),262(a,1,2)),flip(b)]. given #388 (H,wt=14): 315 (x / (y \ x)) * z != u | y * z = u. [para(180(a,1),256(a,1,1)),flip(b)]. given #389 (H,wt=14): 316 x / (y \ x) != z * u | z \ y = u. [para(181(a,2),44(a,1))]. given #390 (H,wt=12): 676 x / x != y * z | y \ 1 = z. [para(66(a,1),316(a,1,2))]. given #391 (H,wt=14): 317 (x * (x \ y)) \ z != u | y \ z = u. [para(181(a,1),271(a,1,1)),flip(b)]. given #392 (H,wt=14): 319 x \ y != z * (z \ u) | y / u = x. [para(192(a,1),49(a,1)),flip(a)]. given #393 (H,wt=14): 324 x \ (x / y) != z | (x * y) \ x = z. [para(198(a,1),286(a,1,2)),flip(b)]. given #394 (H,wt=14): 348 K(x,x \ 1) != y | K(z \ 1,z) = y. [para(341(a,2),347(a,1))]. given #395 (H,wt=14): 352 x \ (y \ x) != z | (y * x) \ x = z. [para(199(a,1),286(a,1,2)),flip(b)]. given #396 (H,wt=14): 353 T(x,y / z) != z | y / (y / z) = x. [para(235(a,1),50(a,1)),flip(a)]. given #397 (H,wt=14): 355 K(x,y) != z \ u | K(x,y) * z = u. [para(240(a,1),48(a,1))]. given #398 (H,wt=14): 356 x \ (K(y,z) * u) != K(y,z) | u = x. [para(240(a,1),49(a,1)),flip(a)]. given #399 (H,wt=14): 357 K(x,y) * z != u * K(x,y) | u = z. [para(240(a,1),131(a,1,2)),flip(a)]. given #400 (H,wt=14): 358 x * K(y,z) != u | K(y,z) * x = u. [para(240(a,1),262(a,1,2)),flip(b)]. given #401 (H,wt=14): 365 x * K(y,z) != u * x | K(y,z) = u. [para(244(a,1),45(a,1))]. given #402 (H,wt=14): 366 x * K(y,z) != u | K(y,z) \ u = x. [para(244(a,1),125(a,1))]. given #403 (H,wt=14): 367 (K(x,y) * z) / K(x,y) != u | z = u. [para(244(a,2),260(a,1,1))]. given #404 (H,wt=14): 369 T(x,K(y,z)) != u | T(u,K(w,v5)) = x. [para(246(a,1),50(a,1)),flip(a)]. given #405 (H,wt=10): 680 x != y | T(y,K(z,u)) = x. [para(242(a,1),369(a,1))]. given #406 (H,wt=14): 372 K(x,y) \ z != u | u * K(x,y) = z. [para(247(a,1),134(a,1))]. given #407 (H,wt=14): 373 K(x,y) * z != u | z * K(x,y) = u. [para(248(a,1),262(a,1,2)),flip(b)]. given #408 (H,wt=14): 374 x \ y != y / T(z,z \ y) | z = x. [para(268(a,2),49(a,1)),flip(a)]. given #409 (H,wt=14): 375 (x \ y) \ y != z | T(x,x \ y) = z. [para(268(a,1),271(a,1,1)),flip(b)]. given #410 (H,wt=12): 685 T(x,y) != z | T(x,x \ y) = z. [para(403(a,2),375(a,1))]. given #411 (H,wt=14): 379 K(x,y) != z \ u | K(x,y) \ u = z. [para(303(a,1),49(a,1))]. given #412 (H,wt=14): 382 x * ((x * y) \ x) != z | x / y = z. [para(320(a,2),262(a,1,2)),flip(b)]. given #413 (H,wt=14): 392 (x * y) \ x != z | x \ (x / y) = z. [para(381(a,1),286(a,1,2)),flip(b)]. given #414 (H,wt=14): 393 (x * y) * z != y | y \ (x \ y) = z. [para(386(a,1),44(a,1)),flip(a)]. given #415 (H,wt=14): 401 (x / y) * x != z | x * (y \ x) = z. [para(397(a,1),256(a,1,1)),flip(b)]. given #416 (H,wt=14): 426 (x * (y \ x)) / x != z | x / y = z. [para(398(a,1),259(a,1,1)),flip(b)]. given #417 (H,wt=14): 427 (x \ T(x,y)) * x != z | T(x,y) = z. [para(416(a,1),256(a,1,1)),flip(b)]. given #418 (H,wt=14): 439 K(x,K(y,z)) = a(K(u,K(w,v5)),v6,v7). [hyper(306,a,251,a,b,436,a)]. given #419 (H,wt=14): 462 L((x \ y) \ 1,x \ y,x) = y \ x. [hyper(306,a,153,a(flip),b,214,a),flip(a)]. given #420 (H,wt=14): 467 L(x \ 1,x,y / x) = y \ (y / x). [para(12(a,1),214(a,2,1))]. given #421 (H,wt=14): 474 R(1 / x,x,x \ y) = (x \ y) / y. [para(10(a,1),216(a,2,2))]. given #422 (H,wt=14): 480 (x / y) * y != z * u | x / u = z. [para(156(a,2),255(a,1))]. given #423 (H,wt=14): 482 x * (x \ y) != z * u | z \ y = u. [para(159(a,2),261(a,1))]. given #424 (H,wt=14): 491 T(x,y) / x != z | x \ T(x,y) = z. [para(174(a,1),409(a,1,2))]. given #425 (H,wt=14): 494 x / T(x,y) != z | T(x,y) \ x = z. [para(175(a,1),409(a,1,2))]. given #426 (H,wt=14): 500 L(x,x \ 1,y) = y \ (y / (x \ 1)). [para(326(a,1),460(a,1,1))]. given #427 (H,wt=14): 510 R(x,x \ 1,y) \ y = (x \ 1) * y. [para(75(a,1),473(a,1,1,1))]. given #428 (H,wt=14): 514 T(x,T(y,x)) != z | T(x,y * x) = z. [para(22(a,2),496(a,1,2))]. given #429 (H,wt=14): 516 (1 / x) \ L(y,x,1 / x) = x * y. [hyper(118,a,18,a,b,161,a(flip))]. given #430 (H,wt=14): 517 x \ L(y,x \ 1,x) = (x \ 1) * y. [hyper(118,a,18,a,b,160,a(flip))]. given #431 (H,wt=14): 544 T(T(x,y),z) != u | T(T(x,z),y) = u. [para(273(a,1),290(a,1,1))]. given #432 (H,wt=14): 590 L(x \ (y \ ((y * x) * z)),x,y) = z. [hyper(35,a,72,a(flip),b,93,a),flip(a)]. given #433 (H,wt=14): 603 L(x \ y,x,1 / x) = (1 / x) * y. [hyper(306,a,161,a(flip),b,95,a),flip(a)]. given #434 (H,wt=14): 604 L((x \ 1) \ y,x \ 1,x) = x * y. [hyper(306,a,160,a(flip),b,95,a),flip(a)]. given #435 (H,wt=14): 625 R(x / (1 / y),1 / y,y) = x * y. [hyper(306,a,169,a(flip),b,103,a),flip(a)]. given #436 (H,wt=14): 626 R(x / y,y,y \ 1) = x * (y \ 1). [hyper(306,a,168,a(flip),b,103,a),flip(a)]. given #437 (H,wt=14): 633 x * y != z * u | z \ (x * y) = u. [para(71(a,1),126(a,1,2)),flip(b)]. given #438 (H,wt=14): 635 R(x,1 / x,y) = y / ((x \ 1) * y). [para(325(a,2),212(a,1,2))]. given #439 (H,wt=13): 709 R(x,1 / x,y) = R(x,x \ 1,y). [hyper(306,a,212,a,b,635,a),flip(a)]. given #440 (H,wt=14): 636 R(x,x \ 1,x) = x / K(y \ 1,y). [para(339(a,2),212(a,2,2))]. given #441 (H,wt=12): 710 R(x,x \ 1,x) = T(x,x \ 1). [hyper(306,a,562,a,b,636,a),flip(a)]. given #442 (H,wt=12): 711 R(x,x \ 1,x) = (x \ 1) \ 1. [hyper(306,a,519,a(flip),b,636,a),flip(a)]. given #443 (H,wt=12): 712 R(x,1 / x,x) = T(x,x \ 1). [hyper(64,a,709,a,b,710,a)]. given #444 (H,wt=14): 641 (1 / x) * (x * y) = L(y,x,x \ 1). [para(325(a,1),265(a,2,3))]. given #445 (H,wt=14): 643 (x * (1 / y)) * y = R(x,y \ 1,y). [para(325(a,1),267(a,2,2))]. given #446 (H,wt=14): 644 T(x,K(y,z)) != u | T(x,K(w,v5)) = u. [para(246(a,1),279(a,1,1)),flip(b)]. given #447 (H,wt=14): 649 (x * (x \ y)) * z != u | y * z = u. [para(75(a,1),309(a,1,1,1))]. given #448 (H,wt=14): 667 x \ y != (z / u) * u | x * z = y. [para(78(a,1),313(a,2,2))]. given #449 (H,wt=14): 673 ((x \ 1) \ 1) * y != z | x * y = z. [para(325(a,1),315(a,1,1))]. given #450 (H,wt=14): 681 x * y != z | (y * x) * K(x,y) = z. [para(354(a,1),373(a,1))]. given #451 (H,wt=14): 684 T(x,K(y,z)) != u | T(x,x \ 1) = u. [para(334(a,2),375(a,1))]. given #452 (H,wt=14): 688 (x * y) / x != z | x / (x / y) = z. [para(78(a,1),426(a,1,1,2))]. given #453 (H,wt=14): 701 (1 / x) \ L(y,x,x \ 1) = x * y. [para(325(a,1),516(a,1,2,3))]. given #454 (H,wt=14): 704 L(x \ y,x,x \ 1) = (1 / x) * y. [para(325(a,1),603(a,1,3))]. given #455 (H,wt=14): 707 R(x / (1 / y),y \ 1,y) = x * y. [para(325(a,1),625(a,1,2))]. given #456 (H,wt=14): 714 (x \ 1) * (x * y) = L(y,x,x \ 1). [para(325(a,1),641(a,1,1))]. given #457 (H,wt=14): 716 ((x / y) \ x) * z != u | y * z = u. [para(192(a,2),649(a,1,1))]. given #458 (H,wt=14): 717 (x \ 1) \ L(y,x,x \ 1) = x * y. [para(325(a,1),701(a,1,1))]. given #459 (H,wt=14): 719 L(x \ y,x,x \ 1) = (x \ 1) * y. [para(325(a,1),704(a,2,1))]. given #460 (H,wt=15): 109 T(T(T(x,y),z),u) = T(T(T(x,u),y),z). [para(23(a,1),23(a,1,1)),flip(a)]. given #461 (H,wt=15): 113 (x * ((y * z) \ x)) / (y \ x) = x / z. [para(33(a,1),11(a,1,1))]. given #462 (H,wt=15): 188 x * ((y * (z \ x)) \ x) = z * (y \ x). [para(75(a,1),33(a,1,1)),flip(a)]. given #463 (H,wt=15): 195 x * (((x / y) * z) \ x) = (x / z) * y. [para(78(a,1),33(a,1,2)),flip(a)]. given #464 (H,wt=15): 228 x * L(T(y,x),z,u) = L(y,z,u) * x. [para(25(a,2),106(a,1,2))]. given #465 (H,wt=15): 229 x * R(T(y,x),z,u) = R(y,z,u) * x. [para(27(a,2),106(a,1,2))]. given #466 (H,wt=15): 230 x * y != z | y * u != z | T(x,y) = u. [para(106(a,1),35(a,1))]. given #467 (H,wt=12): 754 L(T(x,y),y,x) = T(x,x * y). [hyper(230,a,218,a(flip),b,93,a),flip(a)]. given #468 (H,wt=12): 755 T(L(x,y,x),y) = T(x,x * y). [hyper(64,a,25,a(flip),b,754,a)]. given #469 (H,wt=6): 757 L(x,y,x) = x. [hyper(41,a,414,a(flip),b,755,a),flip(a)]. => 760 back subsumes hint matchers not on Sos. Reset weight to 512.000. given #470 (H,wt=6): 763 a(x,y,x) = 1. [hyper(54,a,757,a)]. given #471 (H,wt=8): 767 L(x,y,T(x,z)) = x. [hyper(41,a,25,a(flip),b,757,a(flip))]. given #472 (H,wt=8): 771 a(x,y,x) \ z = z. [para(763(a,2),66(a,1,1))]. given #473 (H,wt=8): 772 T(x,a(y,z,y)) = x. [para(763(a,2),177(a,1,2))]. given #474 (H,wt=9): 765 L(x,y,R(x,z,u)) = x. [hyper(43,a,29,a,b,757,a(flip))]. given #475 (H,wt=9): 766 L(x,y,L(x,z,u)) = x. [hyper(42,a,30,a,b,757,a(flip))]. given #476 (H,wt=9): 773 L(x,y,a(z,u,z)) = x. [para(763(a,2),430(a,1,3))]. given #477 (H,wt=9): 774 L(x,a(y,z,y),u) = x. [para(763(a,2),441(a,1,2))]. given #478 (H,wt=9): 775 R(x,a(y,z,y),u) = x. [para(763(a,2),449(a,1,2))]. given #479 (H,wt=10): 758 T(x,K(y,z)) = L(x,u,x). [hyper(680,a,757,a)]. given #480 (H,wt=10): 761 L(x,y,x) = z / (x \ z). [hyper(306,a,75,a,b,757,a),flip(a)]. given #481 (H,wt=10): 762 L(x,y,x) = z \ (z * x). [hyper(306,a,9,a,b,757,a),flip(a)]. given #482 (H,wt=10): 768 L(T(x,y),z,x) = T(x,y). [para(757(a,1),25(a,2,1))]. => 788 back subsumes hint matchers not on Sos. Reset weight to 512.000. given #483 (H,wt=11): 764 (x * y) * x = x * (y * x). [hyper(121,a,757,a(flip),b,18,a(flip))]. given #484 (H,wt=6): 795 R(x,y,x) = x. [hyper(36,a,102,a,b,764,a(flip))]. => 803 back subsumes hint matchers not on Sos. Reset weight to 512.000. => 806 back subsumes hint matchers not on Sos. Reset weight to 512.000. given #485 (H,wt=8): 809 R(x,y,T(x,z)) = x. [hyper(41,a,27,a(flip),b,795,a(flip))]. given #486 (H,wt=9): 792 T(x * y,x) = y * x. [hyper(230,a,764,a,b,xx)]. given #487 (H,wt=9): 793 T(x,y) = (y \ x) * y. [hyper(230,a,151,a(flip),b,764,a(flip))]. given #488 (H,wt=9): 798 R(x,y,x) = R(x,z,x). [hyper(306,a,795,a,b,795,a)]. given #489 (H,wt=9): 799 R(x,y,x) = L(x,z,x). [hyper(306,a,757,a,b,795,a),flip(a)]. given #490 (H,wt=9): 807 R(x,y,R(x,z,u)) = x. [hyper(43,a,31,a,b,795,a(flip))]. given #491 (H,wt=9): 808 R(x,y,L(x,z,u)) = x. [hyper(42,a,29,a(flip),b,795,a(flip))]. given #492 (H,wt=9): 813 T(x * (y / x),x) = y. [hyper(306,a,12,a(flip),b,792,a),flip(a)]. given #493 (H,wt=9): 814 x * (T(y,x) / x) = y. [hyper(139,a,792,a),flip(a)]. given #494 (H,wt=9): 827 T(x,y) / y = y \ x. [hyper(119,a,793,a,b,xx)]. given #495 (H,wt=9): 830 (x \ y) \ T(y,x) = x. [hyper(118,a,793,a,b,xx)]. given #496 (H,wt=9): 843 R(x,y,x) != z | x = z. [para(798(a,1),450(a,1))]. given #497 (H,wt=10): 802 R(x,y,x) = (x \ 1) \ 1. [hyper(306,a,326,a,b,795,a),flip(a)]. given #498 (H,wt=10): 810 R(T(x,y),z,x) = T(x,y). [para(795(a,1),27(a,2,1))]. given #499 (H,wt=10): 842 T(x,x \ 1) = R(x,y,x). [hyper(306,a,712,a(flip),b,798,a)]. NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 169 (0.00 of 4.48 sec). given #500 (H,wt=11): 776 L(x,y,x) = a(z,u,z) \ x. [hyper(306,a,757,a,b,771,a)]. given #501 (H,wt=11): 790 x * ((x \ y) * x) = y * x. [hyper(649,a,764,a),flip(a)]. given #502 (H,wt=11): 791 T((x \ y) * x,x \ y) = y. [hyper(230,a,764,a,b,152,a(flip))]. given #503 (H,wt=9): 866 T(T(x,y),y \ x) = x. [para(793(a,2),791(a,1,1))]. given #504 (H,wt=9): 867 T(T(x,y \ x),y) = x. [hyper(544,a,866,a)]. given #505 (H,wt=9): 873 T(T(x,y),x / y) = x. [para(78(a,1),867(a,1,1,2))]. given #506 (H,wt=10): 869 T(x,L(x,y,z) \ x) = x. [para(173(a,1),866(a,1,1))]. given #507 (H,wt=11): 794 T(x,x / y) = y * (x / y). [hyper(230,a,150,a(flip),b,764,a(flip))]. given #508 (H,wt=11): 804 a(x,y,x) = R(z,u,z) / z. [hyper(196,a,795,a(flip),b,771,a),flip(a)]. given #509 (H,wt=11): 805 R(x,y,x) = a(z,u,z) * x. [hyper(121,a,795,a(flip),b,771,a),flip(a)]. given #510 (H,wt=11): 815 x / (y * x) = (x * y) \ x. [hyper(196,a,792,a(flip),b,403,a(flip))]. given #511 (H,wt=11): 819 T(x * y,y) = T(x,y) * y. [para(106(a,1),792(a,1,1))]. given #512 (H,wt=11): 825 T(x,y) = K(y \ x,y) * x. [hyper(306,a,388,a,b,793,a),flip(a)]. given #513 (H,wt=11): 826 T(x,y) = x * K(y \ x,y). [hyper(306,a,299,a,b,793,a),flip(a)]. given #514 (H,wt=11): 828 K(x \ y,x) = y \ T(y,x). [hyper(118,a,793,a,b,299,a),flip(a)]. given #515 (H,wt=11): 829 T(x \ y,x) = x \ T(y,x). [hyper(118,a,793,a,b,106,a),flip(a)]. given #516 (H,wt=11): 834 (x \ y) / y = y \ (y / x). [hyper(119,a,400,a(flip),b,793,a(flip))]. given #517 (H,wt=11): 836 (x \ y) / x = x \ (y / x). [hyper(119,a,108,a(flip),b,793,a(flip))]. given #518 (H,wt=11): 838 (x \ (y / x)) \ (x \ y) = x. [hyper(118,a,108,a(flip),b,793,a(flip))]. given #519 (H,wt=11): 840 K(x,x \ y) = T(y,x) \ y. [para(793(a,2),87(a,1,1)),flip(a)]. given #520 (H,wt=11): 845 R(x,y,R(T(x,z),u,w)) = x. [hyper(41,a,27,a(flip),b,807,a(flip))]. given #521 (H,wt=11): 850 (x * y) / x = x * (y / x). [hyper(274,a,813,a)]. given #522 (H,wt=11): 851 (x * (y / x)) \ x = x / y. [hyper(196,a,813,a(flip),b,403,a(flip)),flip(a)]. given #523 (H,wt=11): 855 T(x,y) / y = x / T(y,x). [hyper(306,a,406,a,b,827,a),flip(a)]. given #524 (H,wt=11): 870 T(x,(y \ x) \ x) = T(x,y). [hyper(41,a,866,a,b,867,a),flip(a)]. given #525 (H,wt=9): 894 T(x,T(y,x)) = T(x,y). [para(403(a,2),870(a,1,2))]. given #526 (H,wt=9): 895 T(x,y * x) = T(x,y). [hyper(514,a,894,a)]. given #527 (H,wt=9): 902 T(x,y / x) = T(x,y). [para(12(a,1),895(a,1,2)),flip(a)]. given #528 (H,wt=11): 871 T(x,y \ x) = y * (x / y). [hyper(41,a,813,a,b,867,a),flip(a)]. given #529 (H,wt=11): 872 x \ T(y,x \ y) = y / x. [hyper(119,a,867,a(flip),b,793,a(flip)),flip(a)]. given #530 (H,wt=11): 877 a(x,y,x) = z \ R(z,u,z). [hyper(306,a,417,a(flip),b,804,a),flip(a)]. given #531 (H,wt=11): 878 R(x,y,x) = x * a(z,u,z). [hyper(121,a,804,a,b,417,a(flip)),flip(a)]. given #532 (H,wt=11): 879 x / (y * x) = x \ (x / y). [hyper(306,a,320,a(flip),b,815,a),flip(a)]. given #533 (H,wt=11): 880 x * (x / (y * x)) = x / y. [hyper(121,a,815,a,b,320,a(flip))]. given #534 (H,wt=11): 886 (x \ y) / y = (y * x) \ y. [hyper(306,a,320,a,b,834,a),flip(a)]. given #535 (H,wt=9): 911 (x \ 1) \ x = x * x. [hyper(120,a,160,a(flip),b,886,a),flip(a)]. given #536 (H,wt=11): 890 x / (x / y) = x * (y / x). [hyper(688,a,850,a)]. given #537 (H,wt=11): 891 x \ (x / (y / x)) = x / y. [hyper(392,a,851,a)]. given #538 (H,wt=11): 892 T(x,x / y) = T(x,y \ x). [para(78(a,1),870(a,1,2,1)),flip(a)]. given #539 (H,wt=11): 893 T(x,x / (x / y)) = T(x,y). [para(194(a,1),870(a,1,2)),flip(a)]. given #540 (H,wt=11): 896 T(x,y) \ (x * y) = T(y,x). [hyper(64,a,226,a,b,894,a)]. given #541 (H,wt=11): 897 (x * y) / T(y,x) = T(x,y). [hyper(196,a,894,a(flip),b,226,a)]. given #542 (H,wt=11): 898 T(x,y) * T(y,x) = x * y. [hyper(121,a,894,a(flip),b,226,a)]. given #543 (H,wt=11): 899 T(x,(x * y) / x) = T(x,y). [para(219(a,1),894(a,1,2)),flip(a)]. given #544 (H,wt=11): 900 T(x,T(y,y * x)) = T(x,y). [para(414(a,2),894(a,1,2))]. given #545 (H,wt=11): 906 R(x,y \ R(y,z,y),u) = x. [para(877(a,1),775(a,1,2))]. given #546 (H,wt=11): 908 (x \ (x / y)) \ x = y * x. [hyper(189,a,879,a)]. given #547 (H,wt=11): 912 (x \ y) \ x = (y \ x) * x. [hyper(120,a,153,a(flip),b,886,a),flip(a)]. given #548 (H,wt=12): 769 L(R(x,y,z),u,x) = R(x,y,z). [para(757(a,1),29(a,1,1)),flip(a)]. given #549 (H,wt=9): 924 L(R(x,y,x),z,x) = x. [hyper(306,a,795,a(flip),b,769,a),flip(a)]. given #550 (H,wt=12): 770 L(L(x,y,z),u,x) = L(x,y,z). [para(757(a,1),30(a,1,1)),flip(a)]. given #551 (H,wt=12): 785 L(x,y,a(z,u,z)) != w | x = w. [para(773(a,1),51(a,2))]. given #552 (H,wt=12): 818 T(x,y) != z * y | y * z = x. [para(792(a,1),50(a,1)),flip(a)]. given #553 (H,wt=12): 839 T(x,y) / y != z | y \ x = z. [para(793(a,2),259(a,1,1)),flip(b)]. given #554 (H,wt=12): 847 R(x,y,L(x,z,u)) = R(x,w,x). [hyper(306,a,795,a,b,808,a),flip(a)]. given #555 (H,wt=12): 852 T(x,y) != z | y * (z / y) = x. [para(813(a,1),50(a,1)),flip(a)]. given #556 (H,wt=12): 854 x \ y != z | T(y,x) / x = z. [para(814(a,1),286(a,1,2)),flip(b)]. given #557 (H,wt=12): 856 (x \ y) * x != z | T(y,x) = z. [para(827(a,1),256(a,1,1)),flip(b)]. given #558 (H,wt=12): 857 x * (T(y,x) / x) != z | y = z. [para(827(a,2),263(a,1,2))]. given #559 (H,wt=12): 862 R(T(x,y),z,x) = T(x,x \ y). [hyper(306,a,404,a,b,810,a),flip(a)]. given #560 (H,wt=12): 863 R(T(x,x * y),z,x) = T(x,y). [hyper(306,a,414,a(flip),b,810,a),flip(a)]. given #561 (H,wt=12): 868 T(x,y \ z) != z | T(z,y) = x. [para(866(a,1),50(a,1)),flip(a)]. given #562 (H,wt=12): 885 L(x \ 1,x,y) = (x \ y) / y. [hyper(306,a,460,a,b,834,a)]. given #563 (H,wt=12): 887 L(x \ 1,x,y) * y = x \ y. [hyper(120,a,460,a,b,834,a)]. given #564 (H,wt=12): 888 L(x \ 1,x,y) \ y = x * y. [hyper(120,a,502,a(flip),b,834,a),flip(a)]. given #565 (H,wt=12): 909 R(x \ 1,x,y) = y \ (y / x). [hyper(64,a,476,a,b,879,a)]. given #566 (H,wt=12): 926 R(x,y,x) = z \ T(x * z,x). [hyper(42,a,589,a,b,924,a),flip(a)]. given #567 (H,wt=12): 931 x * y != z | T(y * x,y) = z. [para(9(a,1),856(a,1,1))]. given #568 (H,wt=12): 933 T(R(x,y,x),x * z) = T(x,z). [hyper(64,a,27,a(flip),b,863,a)]. given #569 (H,wt=12): 934 L(x \ 1,x,y) \ (x \ y) = y. [hyper(189,a,885,a(flip))]. given #570 (H,wt=12): 939 x * R(y,z,y) = T(y * x,y). [hyper(121,a,926,a,b,xx)]. given #571 (H,wt=13): 777 x / a(y,z,y) = a(y,z,y) \ x. [hyper(489,a,772,a),flip(a)]. given #572 (H,wt=13): 778 a(x,y,x) * z = z * a(x,y,x). [hyper(121,a,772,a(flip),b,22,a(flip))]. given #573 (H,wt=13): 783 L(T(x,y),z,L(x,u,w)) = T(x,y). [para(766(a,1),25(a,2,1))]. given #574 (H,wt=13): 787 L(x,y,x) != z \ u | z * x = u. [para(762(a,2),48(a,1))]. given #575 (H,wt=13): 812 (x * y) * K(y,x) = T(x * y,x). [hyper(306,a,85,a,b,792,a)]. given #576 (H,wt=11): 945 K(x \ (x * y),x) = K(y,x). [hyper(35,a,826,a(flip),b,812,a)]. given #577 (H,wt=10): 948 K(L(x,y,x),z) = K(x,z). [para(762(a,2),945(a,1,1))]. given #578 (H,wt=10): 949 K(R(x,y,x),z) = K(x,z). [para(799(a,2),948(a,1,1))]. given #579 (H,wt=11): 947 K(x \ (x * y),z) = K(y,z). [para(68(a,1),945(a,1,1)),flip(a)]. given #580 (H,wt=11): 950 K(T(x,x \ 1),y) = K(x,y). [para(710(a,1),949(a,1,1))]. given #581 (H,wt=11): 951 K((x \ 1) \ 1,y) = K(x,y). [para(802(a,1),949(a,1,1))]. given #582 (H,wt=11): 953 K((x / y) \ x,z) = K(y,z). [para(12(a,1),947(a,1,1,2))]. given #583 (H,wt=12): 946 T(x * y,x) != z | y * x = z. [para(812(a,1),284(a,1))]. given #584 (H,wt=12): 952 K(x * a(y,z,y),u) = K(x,u). [para(878(a,1),949(a,1,1))]. given #585 (H,wt=12): 960 T(x,y) != z | (y \ x) * y = z. [para(10(a,1),946(a,1,1))]. given #586 (H,wt=10): 961 1 != x | (y \ 1) * y = x. [para(176(a,1),960(a,1))]. given #587 (H,wt=13): 817 T(T(x * y,z),x) = T(y * x,z). [para(792(a,1),23(a,1,1)),flip(a)]. given #588 (H,wt=13): 833 T(T(x,y),z) / y = y \ T(x,z). [hyper(119,a,23,a,b,793,a(flip))]. given #589 (H,wt=13): 835 x / L(x,y,z) = L(x,y,z) \ x. [hyper(119,a,173,a(flip),b,793,a(flip))]. given #590 (H,wt=13): 837 (L(x,y,z) \ x) \ x = L(x,y,z). [hyper(118,a,173,a(flip),b,793,a(flip))]. given #591 (H,wt=13): 861 R(x,y,x) != z | T(x,x \ 1) = z. [para(802(a,2),375(a,1))]. given #592 (H,wt=13): 874 T(x,y) = (x / y) * (x / (x / y)). [hyper(41,a,813,a,b,873,a),flip(a)]. given #593 (H,wt=13): 905 T(x \ T(y,x \ y),y) = x \ y. [para(872(a,2),400(a,1,1))]. given #594 (H,wt=13): 916 T(x,x \ y) \ y = T(x \ y,x). [para(10(a,1),896(a,1,2))]. given #595 (H,wt=11): 970 T(x \ y,x) = T(x,y) \ y. [para(404(a,1),916(a,1,1)),flip(a)]. given #596 (H,wt=11): 971 T(x,y) \ y = x \ T(y,x). [hyper(64,a,829,a(flip),b,970,a),flip(a)]. given #597 (H,wt=11): 973 x * T(x \ y,y) = T(y,x). [hyper(121,a,410,a,b,971,a(flip))]. given #598 (H,wt=13): 938 R(x \ 1,x,y) = L(x \ 1,x,y). [hyper(306,a,460,a,b,909,a),flip(a)]. given #599 (H,wt=13): 944 R(x,y,x) != z \ u | z * x = u. [para(799(a,2),787(a,1))]. given #600 (H,wt=13): 954 K((x \ y) \ y,z) = K(T(x,y),z). [para(407(a,1),947(a,1,1,2))]. given #601 (H,wt=13): 955 K(K(x,x \ 1) * y,z) = K(y,z). [para(583(a,1),950(a,1,1))]. given #602 (H,wt=13): 956 T(K(x,y),z) = K((x \ 1) \ 1,y). [hyper(306,a,149,a,b,951,a)]. given #603 (H,wt=13): 968 T(x,y) = (x / y) * (x * (y / x)). [para(890(a,1),874(a,2,2))]. given #604 (H,wt=13): 969 T(x \ T(y,y / x),y) = x \ y. [para(892(a,2),905(a,1,1,2))]. given #605 (H,wt=13): 974 x * T(x \ y,y) = (x \ y) * x. [hyper(306,a,793,a(flip),b,973,a),flip(a)]. given #606 (H,wt=13): 975 K(T(x / y,x),z) = K(y \ x,z). [para(78(a,1),954(a,1,1,1)),flip(a)]. given #607 (H,wt=13): 976 (x / y) \ T(x,y) = x * (y / x). [hyper(118,a,968,a,b,xx)]. given #608 (H,wt=14): 759 L(x \ y,z,x \ y) = T(y / x,y). [hyper(306,a,400,a,b,757,a),flip(a)]. given #609 (H,wt=14): 800 R(T(x,y),z,T(x,y)) = T(x,x \ y). [hyper(306,a,404,a,b,795,a),flip(a)]. given #610 (H,wt=14): 801 R(x \ 1,y,x \ 1) = T(x \ 1,x). [hyper(306,a,330,a,b,795,a),flip(a)]. given #611 (H,wt=14): 816 T(x * y,x) = a(z,u,z) * (y * x). [hyper(121,a,792,a(flip),b,771,a),flip(a)]. given #612 (H,wt=14): 820 x / (y * x) != z | (x * y) \ x = z. [para(792(a,1),409(a,1,2))]. given #613 (H,wt=14): 841 T(x,x / y) != z | y * (x / y) = z. [para(793(a,2),716(a,1))]. given #614 (H,wt=14): 858 T(x \ y,x) != z | x \ T(y,x) = z. [para(827(a,1),489(a,1,1))]. given #615 (H,wt=14): 864 x * y != z * x | (x \ z) * x = y. [para(790(a,1),44(a,1)),flip(a)]. given #616 (H,wt=14): 881 T(x,y) != x * z | K(y \ x,y) = z. [para(826(a,2),44(a,1))]. given #617 (H,wt=14): 882 x * K(y \ x,y) != z | T(x,y) = z. [para(828(a,2),262(a,1,2)),flip(b)]. given #618 (H,wt=14): 884 K(x \ y,x) * y != z | T(y,x) = z. [para(828(a,2),427(a,1,1))]. given #619 (H,wt=14): 901 T(x,T(y,y * x)) = T(x,L(y,x,y)). [para(755(a,1),894(a,1,2))]. given #620 (H,wt=10): 983 T(x,L(y,x,y)) = T(x,y). [hyper(64,a,900,a(flip),b,901,a),flip(a)]. given #621 (H,wt=10): 984 T(x,R(y,z,y)) = T(x,y). [para(799(a,2),983(a,1,2))]. given #622 (H,wt=11): 988 T(x,(y \ 1) \ 1) = T(x,y). [para(802(a,1),984(a,1,2))]. given #623 (H,wt=13): 985 T(x,T(y / z,y)) = T(x,z \ y). [para(759(a,1),983(a,1,2))]. given #624 (H,wt=13): 989 T(x,T(y,y \ z)) = T(x,T(y,z)). [para(800(a,1),984(a,1,2))]. given #625 (H,wt=13): 991 x * T(y,(x \ 1) \ 1) = y * x. [hyper(121,a,988,a,b,22,a(flip))]. given #626 (H,wt=14): 904 x * (y / x) != z | T(y,x \ y) = z. [para(872(a,1),262(a,1,2)),flip(b)]. given #627 (H,wt=14): 913 (x \ y) / y != z | y \ (y / x) = z. [para(886(a,2),392(a,1))]. given #628 (H,wt=14): 914 L((x / y) \ 1,x / y,x) = y / x. [hyper(35,a,471,a,b,890,a(flip))]. given #629 (H,wt=14): 917 x / T(y,z) != T(z,y) | z * y = x. [para(897(a,1),47(a,1)),flip(a)]. given #630 (H,wt=14): 922 x \ y != z * y | y \ (y / z) = x. [para(908(a,1),49(a,1)),flip(a)]. given #631 (H,wt=14): 923 L(x,x \ 1,y) \ y = (x \ 1) * y. [para(500(a,2),908(a,1,1))]. given #632 (H,wt=13): 995 R(x,x \ 1,y) = L(x,x \ 1,y). [hyper(40,a,510,a,b,923,a)]. given #633 (H,wt=14): 932 x * (y / x) != z | (x * y) / x = z. [para(219(a,1),857(a,1,2,1))]. given #634 (H,wt=14): 935 T(L(x \ 1,x,y),y) = y \ (x \ y). [para(885(a,2),108(a,1,1))]. given #635 (H,wt=14): 937 L(T(x \ 1,y),x,y) = y \ (x \ y). [hyper(118,a,887,a(flip),b,228,a),flip(a)]. given #636 (H,wt=14): 959 K(L(x,y,x) \ z,u) = K(x \ z,u). [para(761(a,2),953(a,1,1,1))]. given #637 (H,wt=14): 972 T(x \ y,x) != z \ y | T(x,y) = z. [para(970(a,2),49(a,1))]. given #638 (H,wt=14): 979 x * T(x \ y,y) != z | T(y,x) = z. [para(974(a,2),856(a,1))]. given #639 (H,wt=14): 982 T(x * y,x) = (y * x) * a(z,u,z). [hyper(306,a,778,a(flip),b,816,a),flip(a)]. given #640 (H,wt=13): 999 K(T(x * y,x),z) = K(y * x,z). [para(982(a,2),952(a,1,1))]. given #641 (H,wt=14): 992 T(x,R(T(y,z),u,y)) = T(x,T(y,z)). [para(862(a,2),989(a,1,2))]. given #642 (H,wt=14): 997 L(T(x \ 1,y),x,y) = (x * y) \ y. [hyper(306,a,349,a,b,937,a),flip(a)]. given #643 (H,wt=14): 998 a(x,y,x) = z \ T(u * (z / u),u). [hyper(118,a,982,a,b,150,a(flip)),flip(a)]. given #644 (H,wt=14): 1000 T(x,T(R(y,z,y),u)) = T(x,T(y,u)). [para(27(a,1),992(a,1,2))]. given #645 (H,wt=15): 237 T(L(x / y,z,u),y) = L(y \ x,z,u). [para(108(a,1),25(a,1,1)),flip(a)]. given #646 (H,wt=15): 238 T(R(x / y,z,u),y) = R(y \ x,z,u). [para(108(a,1),27(a,1,1)),flip(a)]. given #647 (H,wt=15): 304 x \ T(y,y \ z) = x \ ((y \ z) \ z). [hyper(63,a,107,a)]. given #648 (H,wt=15): 305 T(x,x \ y) * z = ((x \ y) \ y) * z. [hyper(58,a,107,a)]. given #649 (H,wt=15): 359 (K(x,y) * z) * u = (z * K(x,y)) * u. [para(240(a,1),151(a,1,1,2)),flip(a)]. given #650 (H,wt=15): 360 x * (K(y,z) * u) = x * (u * K(y,z)). [para(240(a,1),152(a,1,2,2)),flip(a)]. given #651 (H,wt=15): 363 T(x * K(y,z),K(u,w)) = K(y,z) * x. [hyper(306,a,242,a,b,244,a)]. given #652 (H,wt=15): 385 K(x \ 1,x) * y = y * K(z \ 1,z). [para(338(a,1),244(a,1,1))]. given #653 (H,wt=15): 405 (R(x,y,z) \ u) \ u = R(T(x,u),y,z). [hyper(64,a,27,a,b,403,a),flip(a)]. given #654 (H,wt=14): 1014 R(T(x,y),z,T(x,u)) = (x \ y) \ y. [para(809(a,1),405(a,1,1,1)),flip(a)]. given #655 (H,wt=15): 415 x / L(T(y,x),z,u) = L(y,z,u) \ x. [para(25(a,2),406(a,1,2))]. given #656 (H,wt=15): 421 K(x,y) / ((z \ 1) \ 1) = z \ K(x,y). [para(334(a,1),406(a,1,2))]. given #657 (H,wt=15): 424 (x \ K(y,z)) * ((x \ 1) \ 1) = K(y,z). [para(334(a,1),407(a,1,2))]. given #658 (H,wt=15): 428 (T(x,y) \ x) * x = x * (T(x,y) \ x). [para(419(a,1),398(a,1,1))]. given #659 (H,wt=15): 503 x / L(y \ 1,y,x) != x * z | y = z. [para(465(a,2),44(a,1))]. given #660 (H,wt=15): 504 (x * y) \ x != z | L(y \ 1,y,x) = z. [para(465(a,1),271(a,1,1)),flip(b)]. given #661 (H,wt=15): 507 x / y != x * z | L(y \ 1,y,x) = z. [para(471(a,1),44(a,1))]. given #662 (H,wt=15): 508 x \ (x / y) != z | L(y \ 1,y,x) = z. [para(471(a,1),286(a,1,2)),flip(b)]. given #663 (H,wt=15): 518 (x * (y \ z)) \ z = z \ (y * (x \ z)). [hyper(118,a,182,a(flip),b,33,a(flip)),flip(a)]. given #664 (H,wt=15): 531 (x * (K(y,z) * u)) / (u * K(y,z)) = x. [hyper(196,a,244,a(flip),b,9,a)]. given #665 (H,wt=15): 535 x * T(x \ (y * x),z) = T(y,z) * x. [para(22(a,1),227(a,1,2,1))]. given #666 (H,wt=15): 537 T(x / y,z) * y = y * T(y \ x,z). [para(108(a,1),227(a,1,2,1)),flip(a)]. given #667 (H,wt=15): 538 T((x * y) / x,z) * x = x * T(y,z). [para(219(a,1),227(a,1,2,1)),flip(a)]. given #668 (H,wt=15): 541 (x * T(x \ y,z)) / x = T(y / x,z). [hyper(274,a,236,a)]. given #669 (H,wt=15): 543 (x * T(y,z)) / x = T((x * y) / x,z). [para(219(a,1),273(a,1,1,2,1))]. given #670 (H,wt=15): 555 x / T(y \ x,z) = T(x / y,z) \ x. [hyper(196,a,402,a(flip),b,403,a(flip))]. given #671 (H,wt=15): 576 x / K(y \ 1,y) = x * K(z,z \ 1). [hyper(306,a,519,a,b,565,a)]. given #672 (H,wt=15): 577 K(x \ 1,x) * (y * K(z,z \ 1)) = y. [hyper(121,a,565,a,b,551,a)]. given #673 (H,wt=15): 578 (K(x \ 1,x) * y) * K(z,z \ 1) = y. [para(549(a,2),566(a,1,1))]. given #674 (H,wt=15): 602 L(x,y,z) != z | y \ T(z * y,z) = x. [para(589(a,1),51(a,1)),flip(a)]. given #675 (H,wt=15): 687 L(x \ 1,x,y) != z | y \ (y / x) = z. [para(214(a,2),392(a,1))]. given #676 (H,wt=15): 689 L(x \ 1,x,y / x) = L(x \ 1,x,y). [hyper(306,a,460,a,b,467,a),flip(a)]. given #677 (H,wt=15): 728 (x * (y \ x)) / (z \ x) = x / (z \ y). [para(10(a,1),113(a,1,1,2,1))]. given #678 (H,wt=15): 730 (x * (y \ z)) / z = z / (y * (x \ z)). [hyper(196,a,188,a(flip),b,350,a),flip(a)]. given #679 (H,wt=15): 732 ((x / y) * z) \ x = x \ ((x / z) * y). [hyper(125,a,195,a),flip(a)]. given #680 (H,wt=15): 733 ((x / y) * z) / x = x / ((x / z) * y). [hyper(196,a,195,a(flip),b,350,a),flip(a)]. given #681 (H,wt=15): 780 (R(x,y,z) \ 1) * x = R(x,y,z) \ x. [hyper(118,a,765,a(flip),b,264,a),flip(a)]. given #682 (H,wt=15): 782 (L(x,y,z) \ 1) * x = L(x,y,z) \ x. [hyper(118,a,766,a(flip),b,264,a),flip(a)]. given #683 (H,wt=15): 831 R(T(x,y),z,u) / y = y \ R(x,z,u). [hyper(119,a,27,a,b,793,a(flip))]. given #684 (H,wt=15): 832 L(T(x,y),z,u) / y = y \ L(x,z,u). [hyper(119,a,25,a,b,793,a(flip))]. given #685 (H,wt=15): 846 (x \ 1) * R(x,y,z) = x \ R(x,y,z). [para(807(a,1),510(a,1,1)),flip(a)]. given #686 (H,wt=15): 849 (x \ 1) * L(x,y,z) = x \ L(x,y,z). [para(808(a,1),510(a,1,1)),flip(a)]. given #687 (H,wt=15): 853 T(x * y,x) = z * (T(y * x,z) / z). [hyper(306,a,792,a,b,814,a)]. given #688 (H,wt=15): 865 ((x \ y) * x) \ (x \ y) = (x \ y) / y. [hyper(196,a,791,a(flip),b,403,a(flip)),flip(a)]. given #689 (H,wt=15): 875 T(L(x,y,z) \ x,x) = L(x,y,z) \ x. [hyper(55,a,869,a)]. given #690 (H,wt=15): 883 T(x,x \ (y \ T(y,z))) = T(x,x \ 1). [para(828(a,1),411(a,1,2,2))]. given #691 (H,wt=15): 903 ((x \ y) \ y) * (x \ y) = x * (y / x). [hyper(64,a,793,a(flip),b,871,a)]. given #692 (H,wt=15): 910 (x \ y) \ ((x \ y) / x) = (x \ y) / y. [para(10(a,1),879(a,1,2)),flip(a)]. given #693 (H,wt=15): 940 x * R(y,z,y) != u | T(y * x,y) = u. [para(926(a,2),262(a,1,2)),flip(b)]. given #694 (H,wt=15): 942 T(x,y * z) != T(y,z) | R(y,u,y) = x. [para(933(a,1),50(a,1)),flip(a)]. given #695 (H,wt=15): 962 (x \ T(x * y,z)) * x = T(y * x,z). [hyper(960,a,817,a)]. given #696 (H,wt=15): 963 x * (T(y * x,z) / x) = T(x * y,z). [hyper(852,a,817,a)]. given #697 (H,wt=15): 964 T(x * y,z) / y = y \ T(y * x,z). [hyper(119,a,817,a(flip),b,793,a(flip))]. given #698 (H,wt=15): 967 x \ T(x * (y / x),z) = T(y,z) / x. [para(813(a,1),833(a,1,1,1)),flip(a)]. given #699 (H,wt=15): 977 (x / y) \ T(x,x \ y) = x * (y / x). [hyper(118,a,404,a,b,968,a(flip))]. given #700 (H,wt=15): 978 x \ T(y,y / x) = (y * (x \ y)) / y. [hyper(274,a,969,a),flip(a)]. given #701 (H,wt=15): 986 R(x,y,x) * T(z,x) = z * R(x,y,x). [hyper(121,a,984,a(flip),b,22,a(flip))]. given #702 (H,wt=14): 1056 R(x,y,x) * T(z,x) = T(x * z,x). [hyper(306,a,939,a(flip),b,986,a),flip(a)]. given #703 (H,wt=15): 990 T(T(x,y),K(z,u)) = T(x,(y \ 1) \ 1). [hyper(680,a,988,a)]. given #704 (H,wt=15): 1016 K(x,y) / (z \ 1) = (1 / z) \ K(x,y). [para(78(a,1),421(a,1,2,1))]. given #705 (H,wt=15): 1024 T(x / (x / y),z) \ x = x / T(y,z). [para(78(a,1),555(a,1,2,1)),flip(a)]. given #706 (H,wt=11): 1060 T(x / (x / y),y \ x) = y. [hyper(374,a,1024,a),flip(a)]. given #707 (H,wt=15): 1028 L(x \ 1,x,y * x) = L(x \ 1,x,y). [para(11(a,1),689(a,1,3)),flip(a)]. given #708 (H,wt=15): 1041 (x \ R(x,y,z)) / R(x,y,z) = x \ 1. [hyper(132,a,846,a)]. given #709 (H,wt=15): 1042 (1 / x) * L(x,y,z) = x \ L(x,y,z). [para(325(a,2),849(a,1,1))]. given #710 (H,wt=15): 1045 ((x \ y) * x) \ (x \ y) = y \ (y / x). [hyper(306,a,834,a(flip),b,865,a),flip(a)]. given #711 (H,wt=14): 1066 L(x \ 1,x,x \ y) = y \ (y / x). [hyper(504,a,1045,a)]. given #712 (H,wt=15): 1047 T(x,x \ y) * (x \ y) = x * (y / x). [hyper(64,a,305,a,b,903,a)]. given #713 (H,wt=15): 1048 (x \ y) \ ((x \ y) / x) = y \ (y / x). [hyper(306,a,834,a(flip),b,910,a),flip(a)]. given #714 (H,wt=15): 1049 (x \ y) \ (x \ (y / x)) = (x \ y) / y. [para(836(a,1),910(a,1,2))]. given #715 (H,wt=15): 1050 T((x \ y) * x,z) = (x \ T(y,z)) * x. [para(10(a,1),962(a,1,1,2,1)),flip(a)]. given #716 (H,wt=15): 1051 T(x * (y / x),z) = x * (T(y,z) / x). [para(12(a,1),963(a,1,2,1,1)),flip(a)]. given #717 (H,wt=15): 1061 x / (x / T(y,z)) = T(x / (x / y),z). [hyper(197,a,1024,a)]. given #718 (H,wt=15): 1062 ((x \ y) * x) / (x \ y) = y / (y / x). [hyper(274,a,1060,a)]. given #719 (H,wt=15): 1063 R(x,y,z) * (x \ 1) = R(x,y,z) / x. [hyper(121,a,1041,a(flip),b,834,a(flip))]. given #720 (H,wt=15): 1065 (1 / x) * L(x,y,z) = L(x,y,z) / x. [hyper(306,a,418,a,b,1042,a),flip(a)]. given #721 (H,wt=15): 1067 L(x \ 1,x,x \ y) = L(x \ 1,x,y). [hyper(306,a,460,a,b,1066,a),flip(a)]. given #722 (H,wt=15): 1069 (x \ y) \ (x \ (y / x)) = y \ (y / x). [para(836(a,1),1048(a,1,2))]. given #723 (H,wt=15): 1073 R(x,y,z) * (x \ 1) = x \ R(x,y,z). [hyper(306,a,417,a(flip),b,1063,a),flip(a)]. given #724 (H,wt=15): 1074 (x \ R(x,y,z)) / (x \ 1) = R(x,y,z). [hyper(119,a,417,a(flip),b,1063,a)]. given #725 (H,wt=16): 81 (x * (y * z)) * a(x,y,z) = (x * y) * z. [para(14(a,2),10(a,1,2))]. given #726 (H,wt=16): 94 x \ (y * ((y \ x) * z)) = L(z,y \ x,y). [para(10(a,1),18(a,2,1)),flip(a)]. given #727 (H,wt=16): 96 x \ ((x / y) * (y * z)) = L(z,y,x / y). [para(12(a,1),18(a,2,1)),flip(a)]. given #728 (H,wt=16): 97 L(x,y / x,z) = (z * (y / x)) \ (z * y). [para(12(a,1),18(a,2,2,2))]. given #729 (H,wt=15): 1094 (T(x,y) * z) / x = T(x,y) * (z / x). [hyper(196,a,767,a(flip),b,97,a(flip))]. given #730 (H,wt=16): 100 R(x,x \ y,z) = (y * z) / ((x \ y) * z). [para(10(a,1),20(a,2,1,1))]. given #731 (H,wt=16): 101 ((x * y) * (y \ z)) / z = R(x,y,y \ z). [para(10(a,1),20(a,2,2)),flip(a)]. given #732 (H,wt=16): 104 ((x * (y / z)) * z) / y = R(x,y / z,z). [para(12(a,1),20(a,2,2)),flip(a)]. given #733 (H,wt=16): 141 T(x,y) != L(T(z,y),u,w) | L(z,u,w) = x. [para(25(a,2),50(a,1)),flip(a)]. given #734 (H,wt=16): 142 T(x,y) != R(T(z,y),u,w) | R(z,u,w) = x. [para(27(a,2),50(a,1)),flip(a)]. given #735 (H,wt=16): 143 T(L(x,y,z),u) != L(w,y,z) | T(x,u) = w. [para(25(a,1),51(a,1))]. given #736 (H,wt=16): 146 T(R(x,y,z),u) != R(w,y,z) | T(x,u) = w. [para(27(a,1),52(a,1))]. given #737 (H,wt=16): 184 ((x * y) * z) / a(x,y,z) = x * (y * z). [para(14(a,2),75(a,1,2))]. given #738 (H,wt=16): 201 (1 / x) * (y \ 1) != z | (y * x) \ 1 = z. [para(33(a,2),122(a,1)),flip(b)]. given #739 (H,wt=16): 211 (x * ((x \ 1) * y)) \ y = a(x,x \ 1,y). [para(69(a,1),14(a,2,2)),flip(a)]. given #740 (H,wt=15): 1102 L(x,y \ 1,y) \ x = a(y,y \ 1,x). [para(264(a,1),211(a,1,1))]. given #741 (H,wt=15): 1103 L(x,y \ 1,y) * a(y,y \ 1,x) = x. [hyper(135,a,1102,a)]. given #742 (H,wt=16): 213 x \ ((x * y) * (y \ 1)) = a(x,y,y \ 1). [para(70(a,1),14(a,2,1)),flip(a)]. given #743 (H,wt=15): 1104 x \ R(x,y,y \ 1) = a(x,y,y \ 1). [para(266(a,1),213(a,1,2))]. given #744 (H,wt=16): 215 ((1 / x) * (x * y)) \ y = a(1 / x,x,y). [para(76(a,1),14(a,2,2)),flip(a)]. given #745 (H,wt=15): 1106 L(x,y,y \ 1) \ x = a(1 / y,y,x). [para(641(a,1),215(a,1,1))]. given #746 (H,wt=15): 1107 L(x,y,y \ 1) \ x = a(y \ 1,y,x). [para(325(a,1),1106(a,2,1))]. given #747 (H,wt=16): 217 x \ ((x * (1 / y)) * y) = a(x,1 / y,y). [para(77(a,1),14(a,2,1)),flip(a)]. given #748 (H,wt=15): 1109 x \ R(x,y \ 1,y) = a(x,1 / y,y). [para(643(a,1),217(a,1,2))]. given #749 (H,wt=15): 1110 x \ R(x,y \ 1,y) = a(x,y \ 1,y). [para(325(a,1),1109(a,2,2))]. given #750 (H,wt=13): 1111 a(x,1 / y,y) = a(x,y \ 1,y). [hyper(64,a,1109,a(flip),b,1110,a)]. given #751 (H,wt=16): 224 (x * y) \ (x * (z * y)) = L(T(z,y),y,x). [para(106(a,1),18(a,2,2,2)),flip(a)]. given #752 (H,wt=16): 378 R(x / y,y,x \ z) = z / (y * (x \ z)). [para(298(a,1),20(a,2,1))]. given #753 (H,wt=16): 380 R(x,y,y \ z) * z = (x * y) * (y \ z). [para(20(a,2),307(a,1,1))]. given #754 (H,wt=16): 464 x * L(y \ 1,y,z) = x * ((z * y) \ z). [hyper(59,a,214,a)]. given #755 (H,wt=16): 468 T((x * y) \ x,z) = L(T(y \ 1,z),y,x). [para(214(a,1),25(a,2,1)),flip(a)]. given #756 (H,wt=14): 1116 T((x * y) \ x,y) = L(y \ 1,y,x). [para(330(a,1),468(a,2,1))]. given #757 (H,wt=14): 1117 T(x \ (x / y),y) = L(y \ 1,y,x). [para(320(a,1),1116(a,1,1))]. given #758 (H,wt=16): 475 T(x / (y * x),z) = R(T(1 / y,z),y,x). [para(216(a,1),27(a,2,1)),flip(a)]. given #759 (H,wt=16): 477 ((x / y) * y) * z != z * u | T(x,z) = u. [para(150(a,2),231(a,2)),flip(a)]. given #760 (H,wt=16): 478 (x * (x \ y)) * z != z * u | T(y,z) = u. [para(151(a,2),231(a,2)),flip(a)]. given #761 (H,wt=16): 479 x * T(T(y,x),z) != u * x | T(y,z) = u. [para(23(a,1),232(a,1,2)),flip(b)]. given #762 (H,wt=16): 481 x * (y * (y \ 1)) != z * u | z \ x = u. [para(10(a,2),261(a,1,2))]. given #763 (H,wt=16): 483 x * T(T(y,x),z) != u | T(y,z) * x = u. [para(23(a,1),281(a,1,2))]. given #764 (H,wt=16): 485 L(x,y,z) * x != u | x * L(x,y,z) = u. [para(173(a,1),281(a,1,2))]. given #765 (H,wt=16): 486 x * K(y,z) != u | T(K(y,z),w) * x = u. [para(245(a,1),281(a,1,2))]. given #766 (H,wt=16): 492 R(x,y,z) / x != u | x \ R(x,y,z) = u. [para(172(a,1),409(a,1,2))]. given #767 (H,wt=16): 493 L(x,y,z) / x != u | x \ L(x,y,z) = u. [para(173(a,1),409(a,1,2))]. given #768 (H,wt=16): 497 L(x \ 1,x,y) \ z = (y \ (y / x)) \ z. [hyper(62,a,460,a)]. given #769 (H,wt=16): 498 x * L(y \ 1,y,z) = x * (z \ (z / y)). [hyper(59,a,460,a)]. given #770 (H,wt=16): 512 T(x,T(y,x)) != z | T(y,x) \ (y * x) = z. [para(187(a,1),489(a,1,1))]. given #771 (H,wt=16): 529 x * L(y,z \ x,z) = z * ((z \ x) * y). [hyper(121,a,18,a,b,153,a(flip))]. given #772 (H,wt=16): 533 L(x \ T(y,z),x,z) = (z * x) \ (y * z). [para(220(a,1),18(a,2,2))]. given #773 (H,wt=16): 534 x * (y * (y \ T(z,x))) != z * u | x = u. [para(220(a,2),44(a,1))]. given #774 (H,wt=16): 542 T(x \ y,z) != T(u,x) | T(y / x,z) = u. [para(236(a,1),50(a,1))]. given #775 (H,wt=16): 546 x \ ((y \ x) * y) != z | K(y \ x,y) = z. [para(299(a,1),286(a,1,2)),flip(b)]. given #776 (H,wt=16): 552 x / K(y \ 1,y) != z | (x \ 1) \ 1 = z. [para(345(a,1),259(a,1,1)),flip(b)]. given #777 (H,wt=16): 563 (x \ 1) / (y \ 1) != z | (y \ x) \ 1 = z. [para(520(a,2),328(a,1))]. given #778 (H,wt=16): 572 x \ 1 != (y \ 1) * z | (z \ 1) * y = x. [para(561(a,1),49(a,1)),flip(a)]. given #779 (H,wt=16): 573 ((x \ 1) * y) \ 1 != z | (y \ 1) * x = z. [para(561(a,1),332(a,1,1)),flip(b)]. given #780 (H,wt=16): 585 (x \ (y \ 1)) \ 1 != z | y / (x \ 1) = z. [para(579(a,1),332(a,1,1)),flip(b)]. given #781 (H,wt=16): 587 (x * (y * z)) / L(T(y,z),z,x) = x * z. [hyper(119,a,218,a(flip),b,93,a)]. given #782 (H,wt=16): 588 x * L(y,z,x / z) = (x / z) * (z * y). [hyper(64,a,150,a(flip),b,93,a)]. given #783 (H,wt=16): 605 L((x \ y) \ z,x \ y,x) = y \ (x * z). [hyper(306,a,153,a(flip),b,95,a),flip(a)]. given #784 (H,wt=16): 606 L(x \ y,x,z / x) = z \ ((z / x) * y). [para(12(a,1),95(a,2,1))]. given #785 (H,wt=16): 607 L(x \ y,x,z / y) = ((z / y) * x) \ z. [para(12(a,1),95(a,2,2))]. given #786 (H,wt=16): 617 R(x / y,y,x \ z) \ z = y * (x \ z). [hyper(118,a,298,a(flip),b,102,a)]. given #787 (H,wt=16): 618 R(x,x \ y,z) \ (y * z) = (x \ y) * z. [hyper(118,a,151,a(flip),b,102,a)]. given #788 (H,wt=16): 627 R(x / (y / z),y / z,z) = (x * z) / y. [para(12(a,1),103(a,2,2))]. given #789 (H,wt=16): 647 x \ (y * (x / y)) != z | K(y,x / y) = z. [para(12(a,1),302(a,1,1))]. given #790 (H,wt=16): 668 x * (y * T(z,y)) != u | x * (z * y) = u. [para(22(a,2),314(a,1,2,2))]. given #791 (H,wt=16): 671 (x \ y) * x != z | K(x \ y,x) * y = z. [para(354(a,1),314(a,1))]. given #792 (H,wt=16): 679 T(x,K(y,z)) != u | K(w,K(v5,v6)) * x = u. [para(276(a,2),358(a,1))]. given #793 (H,wt=16): 682 (x \ y) * x != z | y * K(x \ y,x) = z. [para(388(a,1),373(a,1))]. given #794 (H,wt=16): 683 T(x,K(y,z)) != u | x * K(w,K(v5,v6)) = u. [para(545(a,2),373(a,1))]. given #795 (H,wt=16): 686 x / K(y \ 1,y) != z | T(x,x \ 1) = z. [para(519(a,2),375(a,1))]. given #796 (H,wt=16): 713 L(T(x,y),y,y \ 1) = (1 / y) * (x * y). [hyper(64,a,218,a(flip),b,641,a),flip(a)]. given #797 (H,wt=16): 715 K(x,K(y,z)) \ u != w | T(u,K(v5,v6)) = w. [para(275(a,1),644(a,1))]. given #798 (H,wt=16): 756 L(T(T(x,y),z),y,x) = T(T(x,x * y),z). [para(754(a,1),25(a,2,1))]. given #799 (H,wt=16): 779 a(x,y,x) * z != u | z * a(x,y,x) = u. [para(772(a,1),281(a,1,2))]. given #800 (H,wt=16): 796 x * (y * x) != x * z | T(x * y,x) = z. [para(764(a,1),231(a,2)),flip(a)]. given #801 (H,wt=16): 859 (x \ y) * x != z * u | z \ T(y,x) = u. [para(827(a,1),310(a,1,1))]. given #802 (H,wt=16): 860 (x \ y) * x != z * u | T(y,x) / u = z. [para(827(a,1),480(a,1,1))]. given #803 (H,wt=16): 929 x / L(x,y,z) != u | L(x,y,z) \ x = u. [para(173(a,1),839(a,1,1))]. given #804 (H,wt=16): 957 K((x \ 1) \ 1,y) != z | T(K(x,y),u) = z. [para(951(a,2),368(a,1))]. given #805 (H,wt=16): 980 (x / y) * (x * (y / x)) != z | T(x,y) = z. [para(976(a,1),262(a,1,2)),flip(b)]. given #806 (H,wt=16): 1004 R(x \ (y / z),x,z) = T(y / (x * z),x). [para(297(a,1),238(a,1,1)),flip(a)]. given #807 (H,wt=16): 1013 R(T(x,y),z,u) != w | T(R(x,z,u),y) = w. [para(405(a,1),420(a,1))]. given #808 (H,wt=16): 1058 T(x * ((x * y) / x),x) = R(x,z,x) * y. [para(219(a,1),1056(a,1,2)),flip(a)]. given #809 (H,wt=15): 1139 a(x,y,x) = (z * u) \ (R(z,w,z) * u). [para(1058(a,1),998(a,2,2))]. given #810 (H,wt=15): 1140 R(x,y,x) * (x \ z) = z * a(u,w,u). [hyper(121,a,1139,a,b,153,a(flip)),flip(a)]. given #811 (H,wt=15): 1142 R(x,y,x) \ (a(z,u,z) * w) = x \ w. [hyper(118,a,778,a,b,1140,a)]. given #812 (H,wt=16): 1068 (x * y) \ ((x * y) / x) = L(x \ 1,x,y). [para(9(a,1),1066(a,1,3)),flip(a)]. given #813 (H,wt=15): 1143 (x * y) \ ((x * y) / x) = y \ (y / x). [hyper(306,a,460,a(flip),b,1068,a),flip(a)]. given #814 (H,wt=16): 1070 (x \ y) * L(x \ 1,x,y) = x \ (y / x). [hyper(121,a,885,a,b,1049,a)]. given #815 (H,wt=16): 1091 x / L(y,z,x / z) = (x / (z * y)) * z. [hyper(196,a,96,a(flip),b,732,a)]. given #816 (H,wt=16): 1098 x / (y * ((z * y) \ x)) = R(z,y,y \ x). [hyper(64,a,730,a(flip),b,101,a)]. given #817 (H,wt=16): 1108 x \ ((x * (y \ 1)) * y) = a(x,1 / y,y). [para(325(a,1),217(a,1,2,1,2))]. given #818 (H,wt=16): 1118 R(T(1 / x,x * y),x,y) = (x * y) \ y. [hyper(489,a,475,a),flip(a)]. given #819 (H,wt=16): 1126 (x \ y) \ 1 != z | (y \ 1) / (x \ 1) = z. [para(326(a,1),585(a,1,1,2))]. given #820 (H,wt=16): 1134 x * L(y \ z,y,x / z) = (x / y) * z. [hyper(121,a,607,a,b,732,a(flip))]. given #821 (H,wt=16): 1145 (x * y) \ (x * (y / x)) = L(x \ 1,x,y). [para(850(a,1),1068(a,1,2))]. given #822 (H,wt=16): 1147 R(x,y,y \ z) \ z = y * ((x * y) \ z). [hyper(189,a,1098,a)]. given #823 (H,wt=16): 1148 x / (y * (x \ (x / y))) = R(x,y,y \ x). [para(320(a,1),1098(a,1,2,2))]. given #824 (H,wt=17): 110 T(T(R(x,y,z),u),w) = T(R(T(x,w),y,z),u). [para(27(a,2),23(a,1,1)),flip(a)]. given #825 (H,wt=17): 133 ((x * y) * z) / u != R(x,y,z) | y * z = u. [para(20(a,2),46(a,1)),flip(a)]. given #826 (H,wt=17): 280 R(x,y,z) * (y * z) != u | (x * y) * z = u. [para(20(a,2),256(a,1,1)),flip(b)]. given #827 (H,wt=17): 285 (x * y) * L(z,y,x) != u | x * (y * z) = u. [para(18(a,2),262(a,1,2)),flip(b)]. given #828 (H,wt=17): 408 x * (((y \ x) * z) \ x) = (x / z) * T(y,x). [para(403(a,2),33(a,1,2)),flip(a)]. given #829 (H,wt=17): 459 L(x,y \ 1,y) != z | y * ((y \ 1) * x) = z. [para(18(a,2),206(a,1)),flip(b)]. given #830 (H,wt=17): 463 (K(x,K(y,z)) * u) \ K(x,K(y,z)) = u \ 1. [hyper(64,a,433,a(flip),b,214,a),flip(a)]. given #831 (H,wt=17): 536 x * T(T(T(y,x),z),u) = T(T(y,z),u) * x. [para(23(a,1),227(a,1,2,1))]. given #832 (H,wt=17): 567 T((x \ y) \ 1,x \ 1) = (x \ 1) \ (y \ 1). [para(558(a,1),108(a,1,1))]. given #833 (H,wt=15): 1159 T((x \ y) \ 1,x \ 1) = (y / x) \ 1. [hyper(306,a,584,a(flip),b,567,a),flip(a)]. given #834 (H,wt=17): 570 T((x \ y) \ 1,y \ 1) = (x \ 1) \ (y \ 1). [para(558(a,1),400(a,1,1))]. given #835 (H,wt=17): 595 (x * y) * z != x * (y * u) | L(u,y,x) = z. [para(93(a,1),44(a,1)),flip(a)]. given #836 (H,wt=17): 597 (x * y) \ (x * (y * z)) != u | L(z,y,x) = u. [para(93(a,1),286(a,1,2)),flip(b)]. given #837 (H,wt=17): 598 x \ ((x * y) * L(z,y,x)) != u | y * z = u. [para(93(a,2),286(a,1,2)),flip(b)]. given #838 (H,wt=17): 601 x * ((x \ 1) * y) != z | L(y,x \ 1,x) = z. [para(93(a,1),200(a,1)),flip(b)]. given #839 (H,wt=17): 613 L((x \ 1) \ y,x \ 1,x) != z | x * y = z. [para(95(a,2),206(a,1)),flip(b)]. given #840 (H,wt=17): 620 (x * y) * z != u * (y * z) | R(x,y,z) = u. [para(102(a,1),45(a,1))]. given #841 (H,wt=17): 621 ((x * y) * z) / (y * z) != u | R(x,y,z) = u. [para(102(a,1),259(a,1,1)),flip(b)]. given #842 (H,wt=17): 624 (x * y) * (y \ 1) != z | R(x,y,y \ 1) = z. [para(102(a,1),205(a,1))]. given #843 (H,wt=17): 640 x \ L(y,x \ 1,x) != z | (x \ 1) * y = z. [para(264(a,1),286(a,1,2)),flip(b)]. given #844 (H,wt=17): 699 x \ y != (z \ 1) * y | R(z,z \ 1,y) = x. [para(510(a,1),49(a,1)),flip(a)]. given #845 (H,wt=17): 700 x / ((y \ 1) * x) != z | R(y,y \ 1,x) = z. [para(510(a,1),282(a,1,2)),flip(b)]. given #846 (H,wt=17): 702 x \ y != (x \ 1) * z | L(z,x \ 1,x) = y. [para(517(a,1),48(a,1)),flip(a)]. given #847 (H,wt=17): 721 L(x,y,y \ 1) != (y \ 1) * z | y * x = z. [para(714(a,1),44(a,1))]. given #848 (H,wt=17): 723 (x \ 1) \ y != x * z | L(z,x,x \ 1) = y. [para(717(a,1),48(a,1)),flip(a)]. given #849 (H,wt=17): 724 (x \ 1) * (x * y) != z | L(y,x,x \ 1) = z. [para(717(a,1),262(a,1,2)),flip(b)]. given #850 (H,wt=17): 736 x * L(x \ (y * x),z,u) = L(y,z,u) * x. [para(22(a,1),228(a,1,2,1))]. given #851 (H,wt=17): 737 L(x / y,z,u) * y = y * L(y \ x,z,u). [para(108(a,1),228(a,1,2,1)),flip(a)]. given #852 (H,wt=17): 738 L(K(x,y),z,u) * w = w * L(K(x,y),z,u). [para(149(a,1),228(a,1,2,1)),flip(a)]. given #853 (H,wt=10): 1173 T(x,L(K(y,z),u,w)) = x. [hyper(232,a,738,a)]. given #854 (H,wt=13): 1174 T(x,L(K(y,z),u,w)) != v5 | x = v5. [para(1173(a,1),50(a,2))]. given #855 (H,wt=17): 739 L((x * y) / x,z,u) * x = x * L(y,z,u). [para(219(a,1),228(a,1,2,1)),flip(a)]. given #856 (H,wt=17): 741 L(x \ 1,y,z) * x = x * L(x \ 1,y,z). [para(330(a,1),228(a,1,2,1)),flip(a)]. given #857 (H,wt=10): 1179 T(x,L(x \ 1,y,z)) = x. [hyper(231,a,741,a)]. given #858 (H,wt=9): 1181 T(x,y \ (y / x)) = x. [para(460(a,1),1179(a,1,2))]. given #859 (H,wt=12): 1180 T(x,x * L(x \ 1,y,z)) = x. [hyper(513,a,1179,a)]. given #860 (H,wt=15): 1182 (x \ (x / y)) * y = y * (x \ (x / y)). [hyper(121,a,1181,a(flip),b,22,a(flip))]. given #861 (H,wt=17): 747 R(x / y,z,u) * y = y * R(y \ x,z,u). [para(108(a,1),229(a,1,2,1)),flip(a)]. given #862 (H,wt=17): 748 R(K(x,y),z,u) * w = w * R(K(x,y),z,u). [para(149(a,1),229(a,1,2,1)),flip(a)]. given #863 (H,wt=10): 1186 K(x,R(K(y,z),u,w)) = 1. [hyper(117,a,748,a,b,85,a),flip(a)]. given #864 (H,wt=12): 1187 K(x,R(T(K(y,z),u),w,v5)) = 1. [para(149(a,2),1186(a,1,2,1))]. given #865 (H,wt=17): 749 R((x * y) / x,z,u) * x = x * R(y,z,u). [para(219(a,1),229(a,1,2,1)),flip(a)]. given #866 (H,wt=17): 751 R(x \ 1,y,z) * x = x * R(x \ 1,y,z). [para(330(a,1),229(a,1,2,1)),flip(a)]. given #867 (H,wt=17): 781 (L(x,y,z) * u) * x = L(x,y,z) * (u * x). [hyper(121,a,766,a(flip),b,18,a(flip))]. given #868 (H,wt=17): 784 (a(x,y,x) * z) * u = a(x,y,x) * (z * u). [hyper(121,a,773,a(flip),b,18,a(flip))]. given #869 (H,wt=17): 786 (x * a(y,z,y)) * u = x * (a(y,z,y) * u). [hyper(121,a,774,a(flip),b,18,a(flip))]. given #870 (H,wt=17): 789 (x \ 1) \ T(x \ 1,y) = x * T(x \ 1,y). [hyper(118,a,768,a(flip),b,714,a)]. given #871 (H,wt=17): 811 R(x \ 1,y,x \ 1) != z | T(x \ 1,x) = z. [para(795(a,2),488(a,1))]. given #872 (H,wt=17): 824 L(x * y,z,u) * x = x * L(y * x,z,u). [para(792(a,1),228(a,1,2,1)),flip(a)]. given #873 (H,wt=17): 844 (x * y) * R(x,z,u) = x * (y * R(x,z,u)). [hyper(120,a,807,a(flip),b,20,a(flip)),flip(a)]. given #874 (H,wt=17): 848 (x * y) * L(x,z,u) = x * (y * L(x,z,u)). [hyper(120,a,808,a(flip),b,20,a(flip)),flip(a)]. given #875 (H,wt=17): 876 (x \ (L(x,y,z) \ x)) * x = L(x,y,z) \ x. [hyper(121,a,869,a(flip),b,403,a(flip))]. given #876 (H,wt=15): 1198 x \ (L(x,y,z) \ x) = L(x,y,z) \ 1. [hyper(36,a,782,a,b,876,a),flip(a)]. given #877 (H,wt=15): 1199 x * (L(x,y,z) \ 1) = L(x,y,z) \ x. [hyper(135,a,1198,a)]. given #878 (H,wt=15): 1203 T(L(x,y,z) \ 1,x) = L(x,y,z) \ 1. [hyper(230,a,782,a,b,1199,a)]. given #879 (H,wt=17): 958 K(((x \ 1) * y) \ 1,z) = K((y \ 1) * x,z). [para(561(a,1),951(a,1,1,1))]. given #880 (H,wt=17): 993 T(x * y,K(z,u)) = y * T(x,(y \ 1) \ 1). [hyper(680,a,991,a)]. given #881 (H,wt=17): 996 x / ((y \ 1) * x) != z | L(y,y \ 1,x) = z. [para(923(a,1),282(a,1,2)),flip(b)]. given #882 (H,wt=16): 1206 R(x,x \ 1,y) != z | L(x,x \ 1,y) = z. [para(212(a,2),996(a,1))]. given #883 (H,wt=17): 1001 (x * L(x \ y,z,u)) / x = L(y / x,z,u). [hyper(274,a,237,a)]. given #884 (H,wt=17): 1002 (x * R(x \ y,z,u)) / x = R(y / x,z,u). [hyper(274,a,238,a)]. given #885 (H,wt=17): 1012 (R(x / y,z,u) \ x) \ x = R(y \ x,z,u). [para(400(a,1),405(a,2,1))]. given #886 (H,wt=17): 1023 x * ((y * T(z,x)) / y) = ((y * z) / y) * x. [hyper(121,a,543,a,b,22,a(flip))]. given #887 (H,wt=17): 1029 (x * T(y,x)) / (z \ x) = x / (z \ (y \ x)). [para(403(a,2),728(a,1,1,2))]. given #888 (H,wt=15): 1214 (x * y) / (z \ y) = y / (z \ (x \ y)). [para(106(a,1),1029(a,1,1))]. given #889 (H,wt=17): 1033 (R(x,y,z) \ x) \ 1 = (x \ 1) * R(x,y,z). [para(780(a,1),561(a,1,1))]. given #890 (H,wt=15): 1215 (R(x,y,z) \ x) \ 1 = x \ R(x,y,z). [hyper(306,a,846,a(flip),b,1033,a),flip(a)]. given #891 (H,wt=17): 1037 R(x * y,z,u) / y = y \ R(y * x,z,u). [para(792(a,1),831(a,1,1,1))]. given #892 (H,wt=17): 1038 x \ R(x * (y / x),z,u) = R(y,z,u) / x. [para(813(a,1),831(a,1,1,1)),flip(a)]. given #893 (H,wt=17): 1039 L(x * y,z,u) / y = y \ L(y * x,z,u). [para(792(a,1),832(a,1,1,1))]. given #894 (H,wt=17): 1040 x \ L(x * (y / x),z,u) = L(y,z,u) / x. [para(813(a,1),832(a,1,1,1)),flip(a)]. given #895 (H,wt=17): 1043 (x \ L(x,y,z)) \ 1 = (L(x,y,z) \ 1) * x. [para(849(a,1),561(a,1,1))]. given #896 (H,wt=15): 1223 (x \ L(x,y,z)) \ 1 = L(x,y,z) \ x. [hyper(306,a,782,a(flip),b,1043,a),flip(a)]. given #897 (H,wt=15): 1225 (L(x,y,z) \ x) \ 1 = x \ L(x,y,z). [hyper(331,a,1223,a)]. given #898 (H,wt=17): 1054 x * (y * (T(z,x) / y)) = (y * (z / y)) * x. [para(967(a,1),220(a,1,2,2))]. given #899 (H,wt=17): 1055 (x / (y * x)) \ T(x,x \ (y * x)) = x * y. [para(11(a,1),977(a,2,2))]. given #900 (H,wt=15): 1230 (x / (y * x)) \ T(x,T(y,x)) = x * y. [para(22(a,2),1055(a,1,2,2))]. given #901 (H,wt=13): 1231 (x / (y * x)) \ T(x,y) = x * y. [para(894(a,1),1230(a,1,2))]. given #902 (H,wt=17): 1059 T((x * y) / x,(x \ 1) \ 1) = T(y,K(z,u)). [para(219(a,1),990(a,1,1)),flip(a)]. given #903 (H,wt=17): 1071 T((x \ (y / z)) * x,z) = (x \ (z \ y)) * x. [para(108(a,1),1050(a,2,1,2))]. given #904 (H,wt=17): 1088 x * ((x \ y) * L(x,z,u)) = y * L(x,z,u). [hyper(121,a,770,a(flip),b,94,a),flip(a)]. given #905 (H,wt=17): 1151 R(T(T(x,y),z),u,w) = T(T(R(x,u,w),z),y). [hyper(306,a,27,a,b,110,a)]. given #906 (H,wt=17): 1161 (x * y) \ (x * z) != u | L(y \ z,y,x) = u. [para(10(a,1),597(a,1,2,2))]. given #907 (H,wt=17): 1176 L((x * y) / x,z,u) = (x * L(y,z,u)) / x. [hyper(132,a,739,a),flip(a)]. given #908 (H,wt=17): 1189 R((x * y) / x,z,u) = (x * R(y,z,u)) / x. [hyper(132,a,749,a),flip(a)]. given #909 (H,wt=17): 1195 (x \ L(x * y,z,u)) * x = L(y * x,z,u). [hyper(864,a,824,a(flip))]. given #910 (H,wt=17): 1202 L(x,y,y \ 1) \ 1 = x \ a(y \ 1,y,x). [para(1107(a,1),1198(a,1,2)),flip(a)]. given #911 (H,wt=17): 1204 K(((((x \ 1) \ y) \ 1) * x) \ 1,z) = K(y,z). [para(10(a,1),958(a,2,1))]. given #912 (H,wt=17): 1205 T(x,K(y,z)) = u * T(x / u,(u \ 1) \ 1). [para(12(a,1),993(a,1,1))]. given #913 (H,wt=15): 1240 T(x * y,K(z,u)) = x * T(y,K(w,v5)). [para(1059(a,1),1205(a,2,2))]. given #914 (H,wt=15): 1241 T(x,K(y,z)) = u \ T(u * x,K(w,v5)). [hyper(118,a,1240,a,b,xx),flip(a)]. given #915 (H,wt=15): 1242 T(x / y,K(z,u)) = T(x,K(w,v5)) / y. [hyper(35,a,1051,a(flip),b,1240,a(flip)),flip(a)]. given #916 (H,wt=17): 1211 x / R(y \ x,z,u) = R(x / y,z,u) \ x. [hyper(197,a,1012,a)]. given #917 (H,wt=17): 1218 (x \ R(x * y,z,u)) * x = R(y * x,z,u). [hyper(134,a,1037,a)]. given #918 (H,wt=17): 1219 R(x * (y / x),z,u) = x * (R(y,z,u) / x). [hyper(135,a,1038,a),flip(a)]. given #919 (H,wt=17): 1222 L(x * (y / x),z,u) = x * (L(y,z,u) / x). [hyper(135,a,1040,a),flip(a)]. given #920 (H,wt=17): 1224 (L(x,y,z) \ 1) / (x \ 1) = L(x,y,z) \ x. [hyper(1126,a,1223,a)]. given #921 (H,wt=17): 1227 a(x,x \ 1,y) \ 1 = y \ L(y,x \ 1,x). [para(1102(a,1),1225(a,1,1))]. given #922 (H,wt=17): 1228 a(x \ 1,x,y) \ 1 = y \ L(y,x,x \ 1). [para(1107(a,1),1225(a,1,1))]. given #923 (H,wt=17): 1238 L((x \ y) * x,z,u) = (x \ L(y,z,u)) * x. [para(10(a,1),1195(a,1,1,2,1)),flip(a)]. given #924 (H,wt=17): 1239 K((((x \ y) \ 1) * (x \ 1)) \ 1,z) = K(y,z). [para(326(a,1),1204(a,1,1,1,1,1,1))]. given #925 (H,wt=17): 1243 x \ T(x * y,K(z,u)) = y * K(w,K(v5,v6)). [hyper(683,a,1241,a),flip(a)]. given #926 (H,wt=17): 1245 T(x,K(y,z)) / u = K(w,K(v5,v6)) * (x / u). [hyper(679,a,1242,a),flip(a)]. given #927 (H,wt=17): 1246 R(x / (x / y),z,u) \ x = x / R(y,z,u). [para(78(a,1),1211(a,1,2,1)),flip(a)]. given #928 (H,wt=17): 1247 R((x \ y) * x,z,u) = (x \ R(y,z,u)) * x. [para(10(a,1),1218(a,1,1,2,1)),flip(a)]. given #929 (H,wt=17): 1248 R(x * (y / x),z,u) \ x = x / R(y,z,u). [para(1219(a,2),851(a,1,1))]. given #930 (H,wt=17): 1249 (L(x,y,z) \ x) \ (L(x,y,z) \ 1) = x \ 1. [hyper(189,a,1224,a)]. given #931 (H,wt=17): 1251 (x / y) \ T(x,K(z,u)) = y * K(w,K(v5,v6)). [para(12(a,1),1243(a,1,2,1))]. given #932 (H,wt=17): 1252 T(x,K(y,z)) / (u \ x) = K(w,K(v5,v6)) * u. [para(75(a,1),1245(a,2,2))]. given #933 (H,wt=17): 1255 (T(x,K(y,z)) / u) \ x = u * K(w,K(v5,v6)). [para(246(a,1),1251(a,1,2))]. given #934 (H,wt=18): 82 (x * y) \ ((x * z) * (z \ y)) = a(x,z,z \ y). [para(10(a,1),14(a,2,1,2)),flip(a)]. given #935 (H,wt=18): 83 (x * ((x \ y) * z)) \ (y * z) = a(x,x \ y,z). [para(10(a,1),14(a,2,2,1)),flip(a)]. given #936 (H,wt=18): 84 ((x / y) * (y * z)) \ (x * z) = a(x / y,y,z). [para(12(a,1),14(a,2,2,1)),flip(a)]. given #937 (H,wt=18): 144 R(L(x,y,z),u,w) != L(v5,y,z) | R(x,u,w) = v5. [para(29(a,2),51(a,1))]. given #938 (H,wt=18): 145 L(L(x,y,z),u,w) != L(v5,y,z) | L(x,u,w) = v5. [para(30(a,1),51(a,1))]. given #939 (H,wt=18): 147 R(x,y,z) != L(R(u,y,z),w,v5) | L(u,w,v5) = x. [para(29(a,1),52(a,1)),flip(a)]. given #940 (H,wt=18): 148 R(R(x,y,z),u,w) != R(v5,y,z) | R(x,u,w) = v5. [para(31(a,1),52(a,1))]. given #941 (H,wt=18): 223 (x * y) \ (y * (T(x,y) * z)) = L(z,T(x,y),y). [para(106(a,1),18(a,2,1)),flip(a)]. given #942 (H,wt=18): 225 ((x * y) * T(z,y)) / (z * y) = R(x,y,T(z,y)). [para(106(a,1),20(a,2,2)),flip(a)]. given #943 (H,wt=18): 294 x * (y * (y \ (x \ (z * u)))) != z * w | u = w. [para(72(a,2),44(a,1))]. given #944 (H,wt=18): 413 R(T(x,R(x,y,z) \ u),y,z) = T(R(x,y,z),u). [hyper(64,a,27,a,b,404,a)]. given #945 (H,wt=12): 1258 T(x,R(x,y,z) \ u) = T(x,u). [hyper(43,a,27,a,b,413,a),flip(a)]. given #946 (H,wt=11): 1260 T(x,(x \ 1) * y) = T(x,y). [para(510(a,1),1258(a,1,2))]. given #947 (H,wt=13): 1261 T(x,(x \ y) * z) = T(x,y * z). [para(618(a,1),1258(a,1,2))]. given #948 (H,wt=13): 1262 T(x,(x \ 1) * y) = T(x,x \ y). [hyper(306,a,404,a,b,1260,a),flip(a)]. given #949 (H,wt=13): 1263 T(x,(x \ 1) * (y * x)) = T(x,y). [hyper(306,a,895,a(flip),b,1260,a),flip(a)]. given #950 (H,wt=13): 1264 T(x \ 1,x * y) = T(x \ 1,y). [para(326(a,1),1260(a,1,2,1))]. given #951 (H,wt=13): 1265 T(x,x \ ((x \ 1) \ y)) = T(x,y). [para(10(a,1),1262(a,1,2)),flip(a)]. given #952 (H,wt=13): 1266 T(x,T(x \ 1,y)) = T(x,x \ 1). [hyper(64,a,883,a(flip),b,1265,a),flip(a)]. given #953 (H,wt=13): 1267 T(x,T(1 / x,y)) = T(x,x \ 1). [para(325(a,2),1266(a,1,2,1))]. given #954 (H,wt=12): 1268 T(x,T(1 / x,y)) = R(x,z,x). [hyper(306,a,842,a(flip),b,1267,a),flip(a)]. given #955 (H,wt=16): 1269 T(x \ 1,T(x,y)) = R(x \ 1,z,x \ 1). [para(75(a,1),1268(a,1,2,1))]. given #956 (H,wt=13): 1270 T(x \ 1,T(x,y)) = T(x \ 1,x). [hyper(306,a,801,a(flip),b,1269,a),flip(a)]. given #957 (H,wt=11): 1271 T(1 / x,T(x,y)) = x \ 1. [hyper(542,a,1270,a)]. given #958 (H,wt=13): 1272 T(1 / T(x,y),x) = T(x,y) \ 1. [para(866(a,1),1271(a,1,2))]. given #959 (H,wt=18): 469 R((x * y) \ x,z,u) = L(R(y \ 1,z,u),y,x). [para(214(a,1),29(a,1,1))]. given #960 (H,wt=18): 470 L(L(x \ 1,y,z),x,u) = L((u * x) \ u,y,z). [para(214(a,1),30(a,1,1)),flip(a)]. given #961 (H,wt=18): 484 x * L(T(y,x),z,u) != w | L(y,z,u) * x = w. [para(25(a,2),281(a,1,2))]. given #962 (H,wt=18): 499 R(x \ (x / y),z,u) = L(R(y \ 1,z,u),y,x). [para(460(a,1),29(a,1,1))]. given #963 (H,wt=18): 506 L(L(x \ 1,x,y) \ 1,L(x \ 1,x,y),y) = x. [hyper(35,a,465,a(flip),b,471,a),flip(a)]. given #964 (H,wt=18): 526 T(R(x,y,z),u) * (y * z) = (T(x,u) * y) * z. [hyper(120,a,27,a(flip),b,20,a(flip))]. given #965 (H,wt=18): 530 (x * y) * T(L(z,y,x),u) = x * (y * T(z,u)). [hyper(121,a,25,a(flip),b,18,a(flip))]. given #966 (H,wt=18): 554 x * K(y \ 1,y) != z | K(u \ 1,u) * x = z. [para(384(a,1),281(a,1,2))]. given #967 (H,wt=18): 591 (x * (y * (x * y))) / (x * y) = L(x * y,y,x). [hyper(119,a,93,a(flip),b,234,a)]. given #968 (H,wt=18): 596 (x * y) * L(z,T(x,y),y) = y * (T(x,y) * z). [para(106(a,1),93(a,1,1))]. given #969 (H,wt=18): 609 T((x * y) \ (x * z),u) = L(T(y \ z,u),y,x). [para(95(a,1),25(a,2,1)),flip(a)]. given #970 (H,wt=18): 610 L(T(x,y) \ z,T(x,y),y) = (x * y) \ (y * z). [para(106(a,1),95(a,2,1))]. given #971 (H,wt=18): 628 T((x * y) / (z * y),u) = R(T(x / z,u),z,y). [para(103(a,1),27(a,2,1)),flip(a)]. given #972 (H,wt=18): 629 T(R(x / y,y,z),y * z) = (y * z) \ (x * z). [para(103(a,2),108(a,1,1))]. given #973 (H,wt=18): 630 T(R(x / y,y,z),x * z) = (y * z) \ (x * z). [para(103(a,2),400(a,1,1))]. given #974 (H,wt=18): 638 x \ T(L(y,x \ 1,x),z) = (x \ 1) * T(y,z). [hyper(118,a,25,a(flip),b,264,a)]. given #975 (H,wt=18): 639 L(T(x,y \ 1),y \ 1,y) = y * (x * (y \ 1)). [hyper(64,a,218,a(flip),b,264,a),flip(a)]. given #976 (H,wt=18): 645 L(x,(y \ z) / x,y) = (y * ((y \ z) / x)) \ z. [para(78(a,1),293(a,1,1))]. given #977 (H,wt=18): 648 x / y != (z / (u \ z)) * w | (u * w) * y = x. [para(180(a,1),308(a,2,1))]. given #978 (H,wt=18): 651 (x * K(y,z)) * u != w | (K(y,z) * x) * u = w. [para(269(a,1),309(a,1,1,1))]. given #979 (H,wt=18): 652 (K(x,y) * z) * u != w | (z * K(x,y)) * u = w. [para(270(a,1),309(a,1,1,1))]. given #980 (H,wt=18): 655 ((x / y) * y) * z != u * w | u \ (x * z) = w. [para(154(a,1),310(a,1,1))]. given #981 (H,wt=18): 656 (x / (y \ x)) * z != u * w | u \ (y * z) = w. [para(180(a,1),310(a,1,1))]. given #982 (H,wt=18): 660 ((x / y) * y) * (x \ z) != u * w | z / w = u. [para(150(a,2),311(a,1))]. given #983 (H,wt=18): 661 x * K(y,z) != u * w | (K(y,z) * x) / w = u. [para(240(a,1),311(a,1,2))]. given #984 (H,wt=18): 663 (x / y) \ (z * (z \ x)) != u * w | u \ y = w. [para(155(a,1),312(a,1,2))]. given #985 (H,wt=18): 665 x \ y != z * (u \ (u * (z \ w))) | x * w = y. [para(9(a,2),313(a,2,2))]. given #986 (H,wt=18): 669 x * (y * K(z,u)) != w | x * (K(z,u) * y) = w. [para(240(a,1),314(a,1,2,2))]. given #987 (H,wt=18): 670 x * (K(y,z) * u) != w | x * (u * K(y,z)) = w. [para(248(a,1),314(a,1,2,2))]. given #988 (H,wt=18): 672 x * ((y * (z \ x)) \ x) != u | z * (y \ x) = u. [para(33(a,1),315(a,1))]. given #989 (H,wt=18): 678 x \ y != K(z,u) * w | y / (w * K(z,u)) = x. [para(248(a,1),319(a,2,2))]. given #990 (H,wt=18): 690 T((x \ y) / y,z) = R(T(1 / x,z),x,x \ y). [para(474(a,1),27(a,2,1)),flip(a)]. given #991 (H,wt=18): 691 (x \ (x * (y / z))) * z != u * w | y / w = u. [para(9(a,2),480(a,1,1))]. given #992 (H,wt=18): 692 (((x / y) / z) * z) * y != u * w | x / w = u. [para(12(a,2),480(a,1,1))]. given #993 (H,wt=18): 693 ((x / y) * y) * z != u * w | (x * z) / w = u. [para(154(a,1),480(a,1,1))]. given #994 (H,wt=18): 694 x * (y * (y \ (x \ z))) != u * w | u \ z = w. [para(10(a,2),482(a,1,2))]. given #995 (H,wt=18): 695 ((x / y) * y) * (x \ z) != u * w | u \ z = w. [para(150(a,2),482(a,1))]. given #996 (H,wt=18): 696 x * (y * (y \ z)) != u * w | u \ (x * z) = w. [para(158(a,1),482(a,1,2))]. given #997 (H,wt=18): 697 L(x,x \ 1,y) \ z = (y \ (y / (x \ 1))) \ z. [hyper(62,a,500,a)]. given #998 (H,wt=18): 698 L(x,x \ 1,y \ 1) = (y \ 1) \ ((x \ y) \ 1). [para(558(a,1),500(a,2,2))]. given #999 (H,wt=16): 1293 L(x,x \ 1,y \ 1) = ((x \ y) / y) \ 1. [hyper(306,a,584,a(flip),b,698,a),flip(a)]. given #1000 (H,wt=16): 1294 L(x,x \ 1,y \ 1) = (y \ (y / x)) \ 1. [para(834(a,1),1293(a,2,1))]. given #1001 (H,wt=17): 1295 L(x,x \ 1,y \ 1) = L(x \ 1,x,y) \ 1. [para(885(a,2),1293(a,2,1))]. given #1002 (H,wt=17): 1298 L(x,x \ 1,y \ 1) \ 1 = L(x \ 1,x,y). [hyper(331,a,1295,a(flip))]. given #1003 (H,wt=17): 1300 L(x \ 1,x,y \ 1) = L(x,x \ 1,y) \ 1. [para(326(a,1),1298(a,1,1,3)),flip(a)]. given #1004 (H,wt=18): 703 L(T(x \ y,z),x,1 / x) = T((1 / x) * y,z). [para(603(a,1),25(a,2,1))]. given #1005 (H,wt=18): 705 L(T((x \ 1) \ y,z),x \ 1,x) = T(x * y,z). [para(604(a,1),25(a,2,1))]. given #1006 (H,wt=18): 706 R(T(x / (1 / y),z),1 / y,y) = T(x * y,z). [para(625(a,1),27(a,2,1))]. given #1007 (H,wt=18): 708 (x * (x \ y)) * z != u * w | u \ (y * z) = w. [para(151(a,2),633(a,1))]. given #1008 (H,wt=18): 718 L((x \ 1) \ y,x \ 1,(x \ 1) \ 1) = x * y. [hyper(306,a,182,a(flip),b,704,a),flip(a)]. given #1009 (H,wt=18): 722 ((x \ y) \ y) * z != u | T(x,x \ y) * z = u. [para(268(a,1),716(a,1,1,1))]. given #1010 (H,wt=18): 727 T(T(T(x,y),z),u) != w | T(T(T(x,z),y),u) = w. [para(109(a,1),544(a,1))]. given #1011 (H,wt=18): 729 (x / y) * (z \ x) != u | x * ((z * y) \ x) = u. [para(113(a,1),256(a,1,1)),flip(b)]. given #1012 (H,wt=18): 731 (x * (y \ z)) / z != u | z / (y * (x \ z)) = u. [para(188(a,1),426(a,1,1))]. given #1013 (H,wt=18): 734 ((x / y) * z) / x != u | x / ((x / z) * y) = u. [para(195(a,1),426(a,1,1))]. given #1014 (H,wt=18): 735 x * (y * T(z,x * y)) = L(z,y,x) * (x * y). [hyper(64,a,93,a(flip),b,228,a)]. given #1015 (H,wt=18): 743 (x * y) * R(T(z,x * y),x,y) = (z * x) * y. [hyper(306,a,102,a(flip),b,229,a),flip(a)]. given #1016 (H,wt=18): 744 ((x * y) * z) / R(T(x,y * z),y,z) = y * z. [hyper(119,a,102,a(flip),b,229,a)]. given #1017 (H,wt=18): 745 (x * y) \ ((z * x) * y) = R(T(z,x * y),x,y). [hyper(118,a,102,a(flip),b,229,a)]. given #1018 (H,wt=18): 821 T(x * (y * z),x * y) = L(z,y,x) * (x * y). [para(93(a,1),792(a,1,1))]. given #1019 (H,wt=18): 823 T((x \ y) * x,x \ y) != z \ u | u / y = z. [para(792(a,2),319(a,2)),flip(a)]. given #1020 (H,wt=18): 921 R(x * y,z \ R(z,u,z),w) != x * v5 | y = v5. [para(906(a,2),44(a,1))]. given #1021 (H,wt=18): 928 T(x,y) != z * (T(u * y,z) / z) | y * u = x. [para(814(a,2),818(a,2))]. given #1022 (H,wt=18): 930 R(L(x,y,z),u,L(x,w,v5)) = L(R(x,v6,x),y,z). [para(847(a,1),29(a,2,1))]. given #1023 (H,wt=18): 965 T(x * y,z) / y != u | y \ T(y * x,z) = u. [para(817(a,1),839(a,1,1))]. given #1024 (H,wt=18): 966 x * (T(y * x,z) / x) != u | T(x * y,z) = u. [para(817(a,1),857(a,1,2,1))]. given #1025 (H,wt=18): 1010 (x * K(y,z)) * u != w * u | K(y,z) * x = w. [para(359(a,1),45(a,1))]. given #1026 (H,wt=18): 1018 K(x,y) != z * ((u \ 1) \ 1) | u \ K(x,y) = z. [para(424(a,1),45(a,1))]. given #1027 (H,wt=18): 1022 T(x / y,z) * y != u | y * T(y \ x,z) = u. [para(541(a,1),256(a,1,1)),flip(b)]. given #1028 (H,wt=18): 1025 x * K(y,y \ 1) != z | z * K(u \ 1,u) = x. [para(576(a,1),134(a,1))]. given #1029 (H,wt=18): 1026 x * K(y \ 1,y) != z | z * K(u,u \ 1) = x. [para(577(a,1),357(a,1)),flip(a),flip(b)]. given #1030 (H,wt=18): 1027 x * K(y,y \ 1) != z | K(u \ 1,u) * z = x. [para(578(a,1),45(a,1)),flip(a)]. given #1031 (H,wt=18): 1031 x * (((x / y) * z) \ x) != u | (x / z) * y = u. [para(732(a,2),262(a,1,2)),flip(b)]. given #1032 (H,wt=18): 1034 L(x,y,z) \ x != u * x | L(x,y,z) \ 1 = u. [para(782(a,1),45(a,1))]. given #1033 (H,wt=18): 1052 T(x,y) != z * (T(u * z,y) / z) | z * u = x. [para(963(a,2),50(a,1)),flip(a)]. given #1034 (H,wt=18): 1053 x \ T(x * y,z) != u | T(y * x,z) / x = u. [para(963(a,1),286(a,1,2)),flip(b)]. given #1035 (H,wt=18): 1064 (x \ 1) * R(x,y,z) != u | x \ R(x,y,z) = u. [para(1041(a,1),256(a,1,1)),flip(b)]. given #1036 (H,wt=18): 1072 T(x * (y / x),z) != x * u | T(y,z) / x = u. [para(1051(a,2),44(a,1))]. given #1037 (H,wt=18): 1078 x \ (y \ (z / y)) != z \ (z / y) | y \ z = x. [para(1069(a,1),49(a,1)),flip(a)]. given #1038 (H,wt=18): 1080 R(x,y,z) * (x \ 1) != u | x \ R(x,y,z) = u. [para(1074(a,1),256(a,1,1)),flip(b)]. given #1039 (H,wt=18): 1082 (x * y) * a(x,z,z \ y) = (x * z) * (z \ y). [para(10(a,1),81(a,1,1,2))]. given #1040 (H,wt=18): 1092 L(T(x,y),y,z / y) = z \ ((z / y) * (x * y)). [para(106(a,1),96(a,1,2,2)),flip(a)]. given #1041 (H,wt=18): 1119 x * T(x \ (y * x),z) != u | T(y,z) * x = u. [para(22(a,1),483(a,1,2,1))]. given #1042 (H,wt=18): 1121 x \ (L(y,x \ z,x) * z) = (x \ z) * T(y,z). [hyper(118,a,228,a(flip),b,529,a(flip))]. given #1043 (H,wt=18): 1128 (x / y) \ (L(z,y,x / y) * x) = y * T(z,x). [hyper(118,a,228,a(flip),b,588,a(flip))]. given #1044 (H,wt=18): 1132 L(x \ y,x,z / x) * z = T((z / x) * y,z). [hyper(120,a,606,a,b,827,a)]. given #1045 (H,wt=18): 1160 T(x,y \ 1) != (z / y) \ 1 | (y \ z) \ 1 = x. [para(1159(a,1),50(a,1)),flip(a)]. given #1046 (H,wt=18): 1183 (x \ (x / y)) * y != z | y * (x \ (x / y)) = z. [para(1181(a,1),281(a,1,2))]. given #1047 (H,wt=18): 1200 x * (L(x,y,z) \ 1) != u | L(x,y,z) \ x = u. [para(1198(a,1),262(a,1,2)),flip(b)]. given #1048 (H,wt=18): 1208 L((x \ y) / z,z,x) = (z * ((x * z) \ y)) / z. [para(293(a,1),1001(a,1,1,2)),flip(a)]. given #1049 (H,wt=18): 1217 x \ R(x,y,z) != u \ 1 | R(x,y,z) \ x = u. [para(1215(a,1),49(a,1))]. given #1050 (H,wt=18): 1221 (x \ 1) * (x * (y / x)) = L(y,x \ 1,x) / x. [hyper(640,a,1040,a)]. given #1051 (H,wt=18): 1296 L(x / y,(x / y) \ 1,y \ 1) = (y / x) \ 1. [para(891(a,1),1294(a,2,1))]. given #1052 (H,wt=18): 1299 L(x \ y,(x \ y) \ 1,x \ 1) = (y \ x) \ 1. [para(462(a,1),1295(a,2,1))]. given #1053 (H,wt=18): 1306 L(K(x,y),z,u) * (u * z) = u * (K(x,y) * z). [para(362(a,1),735(a,1,2)),flip(a)]. given #1054 (H,wt=18): 1311 T(L(x,y,z / y),y) = z \ ((z / y) * (x * y)). [hyper(64,a,25,a(flip),b,1092,a)]. given #1055 (H,wt=18): 1315 (x * (K(y,z) * u)) / (x * u) = L(K(y,z),u,x). [hyper(132,a,1306,a)]. given #1056 (H,wt=19): 112 (x * y) * ((x * z) \ (x * y)) = ((x * y) / z) * y. [para(9(a,1),33(a,1,2)),flip(a)]. given #1057 (H,wt=19): 114 (x * y) * ((z * y) \ (x * y)) = x * (z \ (x * y)). [para(11(a,1),33(a,1,1)),flip(a)]. given #1058 (H,wt=19): 522 (x * y) * K(z,z \ 1) = x * (y * K(z,z \ 1)). [hyper(120,a,458,a(flip),b,20,a(flip)),flip(a)]. given #1059 (H,wt=14): 1318 L(K(x,x \ 1),y,z) = K(x,x \ 1). [hyper(595,a,522,a)]. given #1060 (H,wt=14): 1322 L(K(x,x \ 1),y,z) = K(u \ 1,u). [hyper(306,a,342,a,b,1318,a),flip(a)]. given #1061 (H,wt=14): 1324 L(K(x \ 1,x),y,z) = K(u \ 1,u). [para(326(a,1),1322(a,1,1,2))]. given #1062 (H,wt=17): 1319 (x * (y \ 1)) * K(z,z \ 1) = x * (1 / y). [para(548(a,1),522(a,2,2))]. given #1063 (H,wt=17): 1320 (x * y) * K(z,z \ 1) = x * ((y \ 1) \ 1). [para(565(a,1),522(a,2,2))]. given #1064 (H,wt=17): 1321 (x * (1 / (1 / y))) * K(z,z \ 1) = x * y. [para(566(a,1),522(a,2,2))]. given #1065 (H,wt=17): 1327 (x * (1 / y)) * K(z \ 1,z) = x * (y \ 1). [hyper(1025,a,1319,a)]. given #1066 (H,wt=17): 1328 K(x,x \ 1) * (y * z) = y * ((z \ 1) \ 1). [hyper(358,a,1320,a)]. given #1067 (H,wt=17): 1331 K(x \ 1,x) * (y * z) = y * (1 / (1 / z)). [hyper(1027,a,1321,a)]. given #1068 (H,wt=19): 523 (x * y) * K(z \ 1,z) = x * (y * K(z \ 1,z)). [hyper(120,a,457,a(flip),b,20,a(flip)),flip(a)]. given #1069 (H,wt=17): 1334 x \ (1 / (1 / (x * y))) = y * K(z \ 1,z). [hyper(118,a,344,a(flip),b,523,a(flip))]. given #1070 (H,wt=17): 1335 (x \ y) * K(z \ 1,z) = x \ (1 / (1 / y)). [para(10(a,1),1334(a,1,2,2,2)),flip(a)]. given #1071 (H,wt=17): 1336 (x \ (1 / (1 / y))) * K(z,z \ 1) = x \ y. [hyper(1026,a,1335,a)]. given #1072 (H,wt=17): 1337 K(x \ 1,x) * (y \ z) = y \ (1 / (1 / z)). [hyper(554,a,1335,a)]. given #1073 (H,wt=17): 1338 (x \ y) * K(z,z \ 1) = x \ ((y \ 1) \ 1). [para(190(a,1),1336(a,1,1,2))]. given #1074 (H,wt=19): 524 (x * K(y,y \ 1)) * z = x * (K(y,y \ 1) * z). [hyper(120,a,453,a(flip),b,20,a(flip)),flip(a)]. given #1075 (H,wt=17): 1340 (x \ 1) * (K(y,y \ 1) * z) = (1 / x) * z. [para(548(a,1),524(a,1,1)),flip(a)]. given #1076 (H,wt=15): 1344 (x \ 1) * ((y \ 1) \ 1) = (1 / x) * y. [para(575(a,1),1340(a,1,2))]. given #1077 (H,wt=17): 1341 x * (K(y,y \ 1) * z) = ((x \ 1) \ 1) * z. [para(565(a,1),524(a,1,1)),flip(a)]. given #1078 (H,wt=17): 1342 (x * K(y,y \ 1)) * z = x * ((z \ 1) \ 1). [para(575(a,1),524(a,2,2))]. given #1079 (H,wt=17): 1343 (x \ 1) * (y * K(z,z \ 1)) = (1 / x) * y. [hyper(670,a,1340,a)]. given #1080 (H,wt=17): 1345 K(x,x \ 1) * ((y \ 1) * z) = (1 / y) * z. [hyper(64,a,1328,a,b,1344,a)]. given #1081 (H,wt=17): 1346 ((x \ 1) * y) * K(z,z \ 1) = (1 / x) * y. [hyper(64,a,1320,a,b,1344,a)]. given #1082 (H,wt=17): 1347 K(x,x \ 1) * (((y \ 1) \ 1) \ z) = y \ z. [hyper(118,a,10,a(flip),b,1341,a),flip(a)]. given #1083 (H,wt=15): 1352 K(((x \ 1) \ 1) \ y,z) = K(x \ y,z). [para(1347(a,1),955(a,1,1)),flip(a)]. given #1084 (H,wt=15): 1353 K((1 / x) \ y,z) = K((x \ 1) \ y,z). [para(78(a,1),1352(a,1,1,1,1)),flip(a)]. given #1085 (H,wt=17): 1349 (K(x,x \ 1) * y) * z = y * ((z \ 1) \ 1). [hyper(651,a,1342,a)]. given #1086 (H,wt=17): 1350 (x \ K(y,z)) * K(u,u \ 1) = K(y,z) / x. [hyper(119,a,424,a(flip),b,1342,a),flip(a)]. given #1087 (H,wt=17): 1354 K((K(x,x \ 1) * y) \ z,u) = K(y \ z,u). [para(575(a,2),1352(a,1,1,1))]. given #1088 (H,wt=19): 539 (x \ y) * T((x \ y) \ y,z) = T(x,z) * (x \ y). [para(107(a,1),227(a,1,2,1))]. given #1089 (H,wt=19): 547 (x * (y * (z \ 1))) \ 1 = (z * (y \ 1)) * (x \ 1). [para(318(a,1),318(a,1,1,2))]. given #1090 (H,wt=19): 571 (x * (y \ 1)) / (z \ 1) = (z \ (y * (x \ 1))) \ 1. [para(318(a,1),558(a,1,1))]. given #1091 (H,wt=19): 574 (x \ 1) / ((y \ 1) * z) = (((z \ 1) * y) \ x) \ 1. [para(561(a,1),558(a,1,2))]. given #1092 (H,wt=19): 580 (x \ (y \ 1)) / (z \ 1) = (z \ (y / (x \ 1))) \ 1. [para(568(a,1),568(a,1,1,2)),flip(a)]. given #1093 (H,wt=19): 582 ((x \ 1) / y) / (z \ 1) = (z \ ((y \ 1) \ x)) \ 1. [para(569(a,1),558(a,1,1))]. given #1094 (H,wt=19): 586 (((x \ 1) * y) / z) \ 1 = (z \ 1) \ ((y \ 1) * x). [para(561(a,1),581(a,1,1,1))]. given #1095 (H,wt=19): 592 L(x,y,z) \ (z * (y * x)) = T(z * y,L(x,y,z)). [hyper(118,a,93,a(flip),b,106,a)]. given #1096 (H,wt=19): 614 L(x \ L(y \ 1,y,z),x,z) = (z * x) \ (z / y). [para(471(a,1),95(a,2,2))]. given #1097 (H,wt=19): 646 (x / (K(y,K(z,u)) * w)) * K(y,K(z,u)) = x / w. [hyper(120,a,297,a(flip),b,452,a(flip))]. given #1098 (H,wt=19): 677 L((x \ y) \ z,x \ y,x) != u | y \ (x * z) = u. [para(95(a,2),317(a,1))]. given #1099 (H,wt=19): 746 x * R(T(T(y,x),z),u,w) = R(T(y,z),u,w) * x. [para(23(a,1),229(a,1,2,1))]. given #1100 (H,wt=19): 752 (x \ y) * R(T(x,y),z,u) = R(x,z,u) * (x \ y). [para(404(a,1),229(a,1,2,1))]. given #1101 (H,wt=19): 753 (x * y) * R(T(x,y),z,u) = R(x,z,u) * (x * y). [para(414(a,1),229(a,1,2,1))]. given #1102 (H,wt=19): 822 T((x * y) * z,R(x,y,z)) = (y * z) * R(x,y,z). [para(102(a,1),792(a,1,1))]. given #1103 (H,wt=19): 915 (x / y) / ((x / y) / x) = (x / y) * (x * (y / x)). [para(890(a,1),890(a,2,2))]. given #1104 (H,wt=19): 925 (x \ 1) \ R(x \ 1,y,z) = x * R(x \ 1,y,z). [hyper(118,a,769,a(flip),b,714,a)]. given #1105 (H,wt=19): 927 (x \ 1) \ L(x \ 1,y,z) = x * L(x \ 1,y,z). [hyper(118,a,770,a(flip),b,714,a)]. given #1106 (H,wt=19): 936 L(x \ 1,x,y) * y != z * u | z \ (x \ y) = u. [para(885(a,2),310(a,1,1))]. given #1107 (H,wt=19): 1030 ((x / y) * z) / (u \ x) = x / (u \ ((x / z) * y)). [para(195(a,1),728(a,1,1))]. given #1108 (H,wt=19): 1075 L(x \ 1,y,z) / (x \ 1) = x * L(x \ 1,y,z). [hyper(315,a,1065,a),flip(a)]. given #1109 (H,wt=19): 1076 (x * L(x \ 1,y,z)) * (x \ 1) = L(x \ 1,y,z). [hyper(120,a,182,a(flip),b,1065,a(flip))]. given #1110 (H,wt=19): 1084 (x * (y * z)) \ ((x * y) * z) != u | a(x,y,z) = u. [para(81(a,1),286(a,1,2)),flip(b)]. given #1111 (H,wt=19): 1093 x * L(y,z,x / z) != u | (x / z) * (z * y) = u. [para(96(a,1),262(a,1,2)),flip(b)]. given #1112 (H,wt=19): 1096 x * ((x \ y) * K(z,z \ 1)) = y * K(z,z \ 1). [hyper(120,a,458,a(flip),b,100,a(flip))]. given #1113 (H,wt=17): 1369 K(x,y) * K(z,z \ 1) = u * (K(x,y) / u). [para(1350(a,1),1096(a,1,2)),flip(a)]. given #1114 (H,wt=19): 1099 R(x,y,y \ z) * z != u | (x * y) * (y \ z) = u. [para(101(a,1),256(a,1,1)),flip(b)]. given #1115 (H,wt=19): 1105 a(x,y \ 1,(y \ 1) \ 1) = x \ R(x,y \ 1,y). [para(326(a,1),1104(a,1,2,3)),flip(a)]. given #1116 (H,wt=17): 1371 a(x,y \ 1,(y \ 1) \ 1) = a(x,y \ 1,y). [hyper(306,a,1110,a(flip),b,1105,a),flip(a)]. given #1117 (H,wt=19): 1114 ((x * y) * (y \ z)) / z != u | R(x,y,y \ z) = u. [para(380(a,1),259(a,1,1)),flip(b)]. given #1118 (H,wt=19): 1122 x * ((x \ y) * z) != y * u | L(z,x \ y,x) = u. [para(529(a,1),44(a,1))]. given #1119 (H,wt=19): 1123 x \ (y * ((y \ x) * z)) != u | L(z,y \ x,y) = u. [para(529(a,1),286(a,1,2)),flip(b)]. given #1120 (H,wt=19): 1127 (x * y) \ (x * (z * y)) != u | L(T(z,y),y,x) = u. [para(587(a,1),271(a,1,1)),flip(b)]. given #1121 (H,wt=19): 1144 L(x \ 1,x,y) != (x * y) \ z | (x * y) / x = z. [para(1068(a,1),48(a,1))]. given #1122 (H,wt=19): 1149 x * L(y \ z,y,x / z) != u * z | x / y = u. [para(1134(a,2),45(a,1))]. given #1123 (H,wt=19): 1150 L(x \ 1,x,y) != (x * y) \ z | x * (y / x) = z. [para(1145(a,1),48(a,1))]. given #1124 (H,wt=19): 1191 (L(x,y,z) * (x \ u)) * x = L(x,y,z) * T(u,x). [para(793(a,2),781(a,2,2))]. given #1125 (H,wt=19): 1196 x * (T(y,x) * R(x,z,u)) = (y * x) * R(x,z,u). [para(106(a,1),844(a,1,1)),flip(a)]. given #1126 (H,wt=19): 1213 ((x * (y / z)) / x) * z = z * ((x * (z \ y)) / x). [para(108(a,1),1023(a,1,2,1,2)),flip(a)]. given #1127 (H,wt=19): 1229 (x * (((y * z) / y) / x)) * y = y * (x * (z / x)). [para(219(a,1),1054(a,1,2,2,1)),flip(a)]. given #1128 (H,wt=19): 1232 (x * ((y \ (x \ z)) * y)) / x = (y \ (z / x)) * y. [hyper(274,a,1071,a)]. given #1129 (H,wt=19): 1233 T(T(R(x / y,z,u),w),y) = R(T(y \ x,w),z,u). [para(108(a,1),1151(a,1,1,1)),flip(a)]. given #1130 (H,wt=19): 1256 (K(x,K(y,z)) * u) \ w = (u \ w) * K(v5,K(v6,v7)). [para(1252(a,1),1255(a,1,1))]. given #1131 (H,wt=17): 1374 T(x,K(y,z)) \ u = (x \ u) * K(w,K(v5,v6)). [para(545(a,2),1256(a,1,1))]. given #1132 (H,wt=15): 1375 T(x \ y,K(z,u)) = T(x,K(w,v5)) \ y. [hyper(306,a,826,a,b,1374,a)]. given #1133 (H,wt=19): 1291 (x \ 1) * T((x \ 1) \ y,z) = x \ T(x * y,z). [para(604(a,1),638(a,1,2,1)),flip(a)]. given #1134 (H,wt=17): 1377 (x \ 1) * T((x \ 1) \ 1,y) = x \ T(x,y). [para(8(a,1),1291(a,2,2,1))]. given #1135 (H,wt=13): 1379 T(x,y) * (x \ 1) = x \ T(x,y). [hyper(64,a,539,a(flip),b,1377,a)]. given #1136 (H,wt=19): 1301 (1 / x) \ T((1 / x) * y,z) = x * T(x \ y,z). [hyper(118,a,703,a(flip),b,265,a)]. given #1137 (H,wt=19): 1302 x * (((x \ 1) \ y) * (x \ 1)) = T(x * y,x \ 1). [hyper(64,a,639,a(flip),b,705,a)]. given #1138 (H,wt=15): 1382 T(x * y,x \ 1) = x * T(y,x \ 1). [para(793(a,2),1302(a,1,2)),flip(a)]. given #1139 (H,wt=19): 1303 T(x / (1 / y),z) * (1 / y) = T(x * y,z) / y. [hyper(119,a,706,a(flip),b,267,a),flip(a)]. given #1140 (H,wt=19): 1312 (x \ y) * T((x \ y) \ 1,y) = x \ ((y \ x) * y). [para(462(a,1),1121(a,1,2,1)),flip(a)]. given #1141 (H,wt=19): 1313 (x / y) \ ((x \ (x / y)) * x) = y * T(y \ 1,x). [para(467(a,1),1128(a,1,2,1))]. given #1142 (H,wt=15): 1384 K(x \ (x / y),x) = y * T(y \ 1,x). [hyper(546,a,1313,a)]. given #1143 (H,wt=15): 1386 K(x \ (x / (y \ 1)),x) = y \ T(y,x). [hyper(306,a,1377,a(flip),b,1384,a),flip(a)]. given #1144 (H,wt=15): 1387 T(x,y) = K(y \ (y / (x \ 1)),y) * x. [hyper(355,a,1386,a),flip(a)]. given #1145 (H,wt=15): 1388 T(x,y) = K(y \ (y / (1 / x)),y) * x. [para(325(a,2),1387(a,2,1,1,2,2))]. given #1146 (H,wt=15): 1389 K(x \ (x / (1 / y)),x) = T(y,x) / y. [hyper(119,a,1388,a,b,xx),flip(a)]. given #1147 (H,wt=17): 1385 K(x \ (x / y),x) = (y \ 1) \ T(y \ 1,x). [hyper(306,a,789,a,b,1384,a),flip(a)]. given #1148 (H,wt=17): 1390 (1 / x) * T((1 / x) \ 1,y) = T(x,y) / x. [hyper(64,a,1384,a(flip),b,1389,a)]. given #1149 (H,wt=13): 1392 (1 / x) * T(x,y) = T(x,y) / x. [para(78(a,1),1390(a,1,2,1))]. given #1150 (H,wt=13): 1393 (1 / x) * T(x,y) = x \ T(x,y). [hyper(306,a,416,a(flip),b,1392,a),flip(a)]. given #1151 (H,wt=19): 1326 K(x \ 1,x) * (y * z) = y * (K(u \ 1,u) * z). [hyper(120,a,1324,a(flip),b,1315,a)]. given #1152 (H,wt=19): 1333 K(x \ 1,x) * (y * z) = y * (z * K(u \ 1,u)). [para(344(a,2),1331(a,2,2))]. given #1153 (H,wt=19): 1339 x \ (K(y \ 1,y) * z) = K(u \ 1,u) * (x \ z). [para(549(a,2),1337(a,2,2)),flip(a)]. given #1154 (H,wt=19): 1351 ((x \ 1) * y) * ((z \ 1) \ 1) = ((1 / x) * y) * z. [para(1346(a,1),1342(a,1,1)),flip(a)]. given #1155 (H,wt=19): 1355 (((x \ 1) \ 1) \ y) * ((z \ 1) \ 1) = (x \ y) * z. [para(1347(a,1),1349(a,1,1)),flip(a)]. given #1156 (H,wt=19): 1356 K(((1 / x) * y) \ z,u) = K(((x \ 1) * y) \ z,u). [para(1345(a,1),1354(a,1,1,1))]. given #1157 (H,wt=19): 1357 (x \ (x / (y \ 1))) \ 1 = (x \ 1) \ ((x \ 1) / y). [hyper(913,a,580,a),flip(a)]. given #1158 (H,wt=19): 1359 x / (K(y,K(z,u)) * w) = K(y,K(z,u)) \ (x / w). [hyper(366,a,646,a),flip(a)]. given #1159 (H,wt=17): 1397 K(x,K(y,z)) \ (u / w) = u / T(w,K(v5,v6)). [para(545(a,2),1359(a,1,2)),flip(a)]. given #1160 (H,wt=15): 1398 T(x / y,K(z,u)) = x / T(y,K(w,v5)). [hyper(715,a,1397,a)]. given #1161 (H,wt=18): 1400 T(x,K(y,z)) != u / T(w,K(v5,v6)) | u / w = x. [para(1398(a,1),50(a,1)),flip(a)]. given #1162 (H,wt=19): 1360 (x / y) / (x / (x * y)) = (x / y) * (x * (y / x)). [para(394(a,1),915(a,1,2))]. given #1163 (H,wt=13): 1401 T(x,y) = (x / y) / (x / (x * y)). [hyper(306,a,968,a,b,1360,a)]. given #1164 (H,wt=19): 1364 x \ ((x * y) * (y \ 1)) != z | a(x,y,y \ 1) = z. [para(70(a,1),1084(a,1,1))]. given #1165 (H,wt=19): 1370 (x \ 1) * (y * (K(z,u) / y)) = (1 / x) * K(z,u). [para(1369(a,1),1343(a,1,2))]. given #1166 (H,wt=18): 1403 L(K(x,y),z \ 1,z) / z = (1 / z) * K(x,y). [hyper(64,a,1221,a(flip),b,1370,a)]. given #1167 (H,wt=19): 1376 (x \ 1) * T((x \ 1) \ y,z) = T(y * x,z) / x. [hyper(306,a,964,a,b,1291,a),flip(a)]. given #1168 (H,wt=19): 1378 (x \ 1) * T((x \ 1) \ (x \ y),z) = x \ T(y,z). [para(10(a,1),1291(a,2,2,1))]. given #1169 (H,wt=19): 1380 (x * T(x \ y,z)) * (1 / x) = T(y * (1 / x),z). [hyper(120,a,1301,a(flip),b,964,a)]. given #1170 (H,wt=17): 1405 ((x \ y) * x) * (1 / x) = T(y * (1 / x),x). [para(106(a,1),1380(a,1,1))]. given #1171 (H,wt=17): 1406 T((x * y) * (1 / x),x) = (y * x) * (1 / x). [para(9(a,1),1405(a,1,1,1)),flip(a)]. given #1172 (H,wt=19): 1383 (1 / x) * T((1 / x) \ y,z) = T(y * x,z) / x. [hyper(1022,a,1303,a)]. given #1173 (H,wt=19): 1396 ((((1 / x) * y) \ z) \ 1) \ 1 = ((x \ 1) * y) \ z. [hyper(118,a,10,a(flip),b,1351,a),flip(a)]. given #1174 (H,wt=19): 1408 (1 / x) * T((1 / x) \ y,z) = x \ T(x * y,z). [hyper(306,a,964,a(flip),b,1383,a),flip(a)]. given #1175 (H,wt=19): 1410 T(x * (y * (1 / x)),z) = x * (T(y,z) * (1 / x)). [hyper(121,a,535,a(flip),b,1408,a(flip)),flip(a)]. given #1176 (H,wt=20): 221 (x * (T(y,x) * z)) \ ((y * x) * z) = a(x,T(y,x),z). [para(106(a,1),14(a,2,2,1)),flip(a)]. given #1177 (H,wt=20): 301 (x * (y * z)) \ (x * (z * y)) = L(K(z,y),y * z,x). [para(85(a,1),18(a,2,2,2)),flip(a)]. given #1178 (H,wt=20): 335 a(x,y,z) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [hyper(306,a,14,a,b,326,a)]. given #1179 (H,wt=19): 1413 a(x,y,z) != u | (x * (y * z)) \ ((x * y) * z) = u. [para(335(a,2),332(a,1)),flip(b)]. given #1180 (H,wt=20): 364 (x * K(y,z)) \ (x * (u * K(y,z))) = L(u,K(y,z),x). [para(244(a,1),18(a,2,2,2)),flip(a)]. given #1181 (H,wt=20): 521 R(R(x,y,z),u,w) * (y * z) = (R(x,u,w) * y) * z. [hyper(120,a,31,a,b,20,a(flip))]. given #1182 (H,wt=20): 525 L(R(x,y,z),u,w) * (y * z) = (L(x,u,w) * y) * z. [hyper(120,a,29,a(flip),b,20,a(flip))]. given #1183 (H,wt=20): 527 (x * y) * L(L(z,y,x),u,w) = x * (y * L(z,u,w)). [hyper(121,a,30,a,b,18,a(flip))]. given #1184 (H,wt=20): 528 (x * y) * R(L(z,y,x),u,w) = x * (y * R(z,u,w)). [hyper(121,a,29,a,b,18,a(flip))]. given #1185 (H,wt=20): 532 (x * y) * z != u * (y * T(x,y)) | T(u,x * y) = z. [para(218(a,2),231(a,2))]. given #1186 (H,wt=20): 557 (K(x,K(y,z)) * u) \ K(x,K(y,z)) != w | u \ 1 = w. [para(214(a,1),437(a,1))]. given #1187 (H,wt=20): 594 (x * (y * z)) / (y * L(z,y,x)) = R(x,y,L(z,y,x)). [para(93(a,1),20(a,2,1)),flip(a)]. given #1188 (H,wt=20): 599 (x * K(y,z)) * L(u,x,K(y,z)) = K(y,z) * (x * u). [para(244(a,1),93(a,1,1))]. given #1189 (H,wt=20): 600 K(x \ 1,x) * L(y,z,z \ 1) = (z \ 1) * (z * y). [para(339(a,2),93(a,1,1))]. given #1190 (H,wt=20): 623 R(x,K(y,z),u) * (u * K(y,z)) = (x * K(y,z)) * u. [para(244(a,1),102(a,1,2))]. given #1191 (H,wt=20): 637 x \ L(L(y,x \ 1,x),z,u) = (x \ 1) * L(y,z,u). [hyper(118,a,30,a,b,264,a)]. given #1192 (H,wt=20): 642 L(R(x,y,y \ 1),z,u) / (y \ 1) = L(x,z,u) * y. [hyper(119,a,29,a(flip),b,266,a)]. given #1193 (H,wt=20): 720 L((x \ 1) * (x * y),z,u) = L(L(y,z,u),x,x \ 1). [para(714(a,2),30(a,1,1))]. given #1194 (H,wt=20): 725 L(L(x \ y,z,u),x,x \ 1) = L((x \ 1) * y,z,u). [para(719(a,1),30(a,1,1)),flip(a)]. given #1195 (H,wt=20): 797 (x * (y * x)) \ ((x * y) * z) = L(x \ z,x,x * y). [para(764(a,1),95(a,2,1)),flip(a)]. given #1196 (H,wt=20): 943 x * a(y,z,y) != u * w | u \ (a(y,z,y) * x) = w. [para(778(a,1),633(a,1))]. given #1197 (H,wt=20): 981 (x / y) * (x * (y / x)) != z * u | z \ T(x,y) = u. [para(976(a,1),482(a,1,2))]. given #1198 (H,wt=20): 994 L(R((x / y) \ 1,z,u),x / y,x) = R(y / x,z,u). [para(914(a,1),29(a,1,1)),flip(a)]. given #1199 (H,wt=20): 1035 L(x,y,z) \ x != x * u | T(L(x,y,z) \ 1,x) = u. [para(782(a,1),231(a,2)),flip(a)]. given #1200 (H,wt=20): 1083 (x * (y * z)) * a(x,z,T(y,z)) = (x * z) * T(y,z). [para(106(a,1),81(a,1,1,2))]. given #1201 (H,wt=20): 1089 L(T(x,y \ z),y \ z,y) = z \ (y * (x * (y \ z))). [para(106(a,1),94(a,1,2,2)),flip(a)]. given #1202 (H,wt=20): 1100 a(x,x \ 1,(x \ 1) \ y) = (x * y) \ ((x \ 1) \ y). [para(10(a,1),211(a,1,1,2)),flip(a)]. given #1203 (H,wt=20): 1101 (x * ((y * x) \ 1)) \ (y \ 1) = a(x,x \ 1,y \ 1). [para(515(a,1),211(a,1,1,2))]. given #1204 (H,wt=20): 1129 L(T((x \ y) \ z,u),x \ y,x) = T(y \ (x * z),u). [para(605(a,1),25(a,2,1))]. given #1205 (H,wt=20): 1133 L(x \ (y \ z),x,z / x) = z \ (z * ((y * x) \ z)). [para(33(a,1),606(a,2,2))]. given #1206 (H,wt=16): 1428 L(x \ (y \ z),x,z / x) = (y * x) \ z. [hyper(306,a,9,a(flip),b,1133,a),flip(a)]. given #1207 (H,wt=20): 1135 R(T(x / (y / z),u),y / z,z) = T((x * z) / y,u). [para(627(a,1),27(a,2,1))]. given #1208 (H,wt=20): 1155 (R(x,y,z) * u) * x != w | R(x,y,z) * (u * x) = w. [para(765(a,1),285(a,1,2))]. given #1209 (H,wt=20): 1156 (L(x,y,z) * u) * x != w | L(x,y,z) * (u * x) = w. [para(766(a,1),285(a,1,2))]. given #1210 (H,wt=20): 1166 L(x * y,x \ 1,x) != z | x * L(y,x,x \ 1) = z. [para(717(a,1),613(a,1,1))]. given #1211 (H,wt=20): 1175 x * L(K(y,z),u,w) != v5 | L(K(y,z),u,w) * x = v5. [para(1173(a,1),818(a,1)),flip(a)]. given #1212 (H,wt=20): 1177 L((x * (y \ 1)) / x,y,z) = (x * ((z * y) \ z)) / x. [hyper(119,a,464,a(flip),b,739,a),flip(a)]. given #1213 (H,wt=20): 1185 x * R(x \ y,z,z \ x) = ((y / x) * z) * (z \ x). [hyper(64,a,380,a(flip),b,747,a),flip(a)]. given #1214 (H,wt=20): 1207 L(x / y,z,u) * y != w | y * L(y \ x,z,u) = w. [para(1001(a,1),256(a,1,1)),flip(b)]. given #1215 (H,wt=20): 1209 R(x / y,z,u) * y != w | y * R(y \ x,z,u) = w. [para(1002(a,1),256(a,1,1)),flip(b)]. given #1216 (H,wt=20): 1212 x / R(y \ x,z,u) != w | R(x / y,z,u) \ x = w. [para(1012(a,1),282(a,1,2)),flip(b)]. given #1217 (H,wt=20): 1235 L((x * y) / x,z,u) * x != w | x * L(y,z,u) = w. [para(1176(a,2),256(a,1,1)),flip(b)]. given #1218 (H,wt=20): 1297 ((x * y) \ ((x * y) / x)) \ 1 = L(x,x \ 1,y \ 1). [para(1143(a,2),1294(a,2,1)),flip(a)]. given #1219 (H,wt=20): 1314 (x * y) * L((x \ y) / y,y,x) = T(y,y / (x * y)). [hyper(121,a,1208,a,b,978,a)]. given #1220 (H,wt=17): 1432 x * (y * ((x \ y) / y)) = T(y,y / (x * y)). [hyper(285,a,1314,a)]. given #1221 (H,wt=20): 1330 x * ((y \ 1) \ 1) != z | K(u,u \ 1) * (x * y) = z. [para(1320(a,1),358(a,1))]. given #1222 (H,wt=20): 1332 x * ((y \ 1) \ 1) != z | (x * y) * K(u,u \ 1) = z. [para(1328(a,1),373(a,1))]. given #1223 (H,wt=20): 1373 R(T(x \ y,x * z),x,z) = T((x * z) \ (y * z),x). [para(629(a,1),1233(a,1,1)),flip(a)]. given #1224 (H,wt=20): 1394 (x \ 1) \ T(x \ 1,y) != z | x * T(x \ 1,y) = z. [para(1393(a,1),315(a,1))]. given #1225 (H,wt=18): 1435 K(x \ (x / y),x) != z | y * T(y \ 1,x) = z. [para(1385(a,2),1394(a,1))]. given #1226 (H,wt=20): 1407 T((x * y) * (1 / x),x) != z * (1 / x) | y * x = z. [para(1406(a,2),45(a,1))]. given #1227 (H,wt=20): 1433 T(x,x / (y * x)) != z | y * (x * ((y \ x) / x)) = z. [para(1314(a,1),285(a,1))]. given #1228 (H,wt=20): 1434 T((x * y) \ ((x * z) * y),x) = R(T(z,x * y),x,y). [para(9(a,1),1373(a,1,1,1)),flip(a)]. given #1229 (H,wt=20): 1437 T((x * x) \ (x * (y * x)),x) = R(T(y,x * x),x,x). [para(764(a,1),1434(a,1,1,2))]. given #1230 (H,wt=17): 1438 R(T(x,y * y),y,y) = T(L(T(x,y),y,y),y). [para(224(a,1),1437(a,1,1)),flip(a)]. given #1231 (H,wt=20): 1439 R(T(x,y * y),y,y) != L(z,y,y) | T(T(x,y),y) = z. [para(1438(a,2),143(a,1))]. given #1232 (H,wt=21): 505 L(L(x \ 1,x,y),y * x,z) = (z * (y * x)) \ (z * y). [para(466(a,1),18(a,2,2,2))]. given #1233 (H,wt=21): 654 R(x,y,z) * (y * z) != u * w | u \ ((x * y) * z) = w. [para(20(a,2),310(a,1,1))]. given #1234 (H,wt=21): 657 (x * y) * L(z,y,x) != u * w | u \ (x * (y * z)) = w. [para(186(a,1),310(a,1,1))]. given #1235 (H,wt=21): 658 (x * y) * L(z,y,x) != u * w | (x * (y * z)) / w = u. [para(18(a,2),311(a,1,2))]. given #1236 (H,wt=21): 662 R(x,y,z) * (y * z) != u * w | ((x * y) * z) / w = u. [para(183(a,1),311(a,1,2))]. given #1237 (H,wt=21): 664 (x * y) \ (x * (y * z)) != u * w | u \ L(z,y,x) = w. [para(93(a,1),312(a,1,2))]. given #1238 (H,wt=21): 675 (x * (y * z)) / L(z,y,x) != u * w | u \ (x * y) = w. [para(18(a,2),316(a,1,2))]. given #1239 (H,wt=21): 726 L(x \ y,x,x \ 1) != z * u | z \ ((x \ 1) * y) = u. [para(719(a,2),633(a,1))]. given #1240 (H,wt=21): 740 (x \ y) * L((x \ y) \ y,z,u) = L(x,z,u) * (x \ y). [para(107(a,1),228(a,1,2,1))]. given #1241 (H,wt=21): 750 (x \ y) * R((x \ y) \ y,z,u) = R(x,z,u) * (x \ y). [para(107(a,1),229(a,1,2,1))]. given #1242 (H,wt=19): 1440 (x \ 1) * R((x \ 1) \ 1,y,z) = x \ R(x,y,z). [hyper(306,a,1073,a(flip),b,750,a),flip(a)]. given #1243 (H,wt=21): 889 (x * y) * R(T(x,z),u,w) = x * (y * R(T(x,z),u,w)). [hyper(120,a,845,a(flip),b,20,a(flip)),flip(a)]. given #1244 (H,wt=19): 1442 x * (y * R(T(x,y),z,u)) = R(x,z,u) * (x * y). [hyper(64,a,753,a(flip),b,889,a),flip(a)]. given #1245 (H,wt=17): 1443 R(x,y,z) * (x * u) = x * (R(x,y,z) * u). [para(229(a,1),1442(a,1,2)),flip(a)]. given #1246 (H,wt=15): 1448 x * (R(x,y,z) \ 1) = R(x,y,z) \ x. [hyper(118,a,70,a(flip),b,1443,a),flip(a)]. given #1247 (H,wt=17): 1444 x \ (R(x,y,z) * u) = R(x,y,z) * (x \ u). [hyper(696,a,1443,a)]. given #1248 (H,wt=17): 1445 x * (R(x,y,z) * (x \ u)) = R(x,y,z) * u. [hyper(314,a,1443,a),flip(a)]. given #1249 (H,wt=17): 1446 R(x,y,z) \ (x * (R(x,y,z) * u)) = x * u. [hyper(125,a,1443,a)]. given #1250 (H,wt=17): 1447 R(x,y,z) \ (x * u) = x * (R(x,y,z) \ u). [hyper(118,a,152,a(flip),b,1443,a)]. given #1251 (H,wt=18): 1450 R(x,y,z) \ x != x * u | R(x,y,z) \ 1 = u. [para(1448(a,1),44(a,1))]. given #1252 (H,wt=18): 1452 R(x,y,z) * (x \ (y * z)) = x \ ((x * y) * z). [para(102(a,1),1444(a,1,2)),flip(a)]. given #1253 (H,wt=18): 1454 R(x,y,z) = (x \ ((x * y) * z)) / (x \ (y * z)). [hyper(132,a,1452,a),flip(a)]. given #1254 (H,wt=19): 1451 (R(x,y,z) * (x \ u)) * x = T(R(x,y,z) * u,x). [hyper(120,a,1444,a(flip),b,827,a)]. given #1255 (H,wt=19): 1456 R(x,y,z) * ((x \ u) * x) = T(R(x,y,z) * u,x). [hyper(1155,a,1451,a)]. given #1256 (H,wt=17): 1457 T(R(x,y,z) * u,x) = R(x,y,z) * T(u,x). [para(793(a,2),1456(a,1,2)),flip(a)]. given #1257 (H,wt=20): 1453 R(x,y,z) * (x * u) != w | x * (R(x,y,z) * u) = w. [para(1446(a,1),262(a,1,2)),flip(b)]. given #1258 (H,wt=21): 1077 L(R(x \ 1,y,z),x,x \ u) = R(L(x \ 1,x,u),y,z). [para(1067(a,1),29(a,1,1)),flip(a)]. given #1259 (H,wt=21): 1112 L(T(x,y \ 1),y \ 1,y) != z | y * (x * (y \ 1)) = z. [para(224(a,1),206(a,1)),flip(b)]. given #1260 (H,wt=21): 1115 (x * y) * T((x * y) \ x,z) = x * (y * T(y \ 1,z)). [hyper(121,a,468,a,b,18,a(flip))]. given #1261 (H,wt=21): 1137 (x * y) * T(T(x,x * y),z) = x * (y * T(T(x,y),z)). [hyper(121,a,756,a(flip),b,18,a(flip))]. given #1262 (H,wt=17): 1460 x * (y * T(T(x,y),z)) = T(x,z) * (x * y). [hyper(483,a,1137,a),flip(a)]. given #1263 (H,wt=15): 1461 T(x,y) * (x * z) = x * (T(x,y) * z). [para(227(a,1),1460(a,1,2)),flip(a)]. given #1264 (H,wt=13): 1463 x * (T(x,y) \ 1) = T(x,y) \ x. [hyper(118,a,70,a(flip),b,1461,a),flip(a)]. given #1265 (H,wt=13): 1465 x \ (x / T(x,y)) = T(x,y) \ 1. [hyper(118,a,419,a,b,1463,a)]. given #1266 (H,wt=15): 1462 T(x,y) * (x \ (T(x,y) \ z)) = x \ z. [hyper(694,a,1461,a),flip(a)]. given #1267 (H,wt=15): 1466 T(1 / T(x,y),x) = x \ (x / T(x,y)). [hyper(306,a,1272,a,b,1465,a)]. given #1268 (H,wt=13): 1468 (1 / T(x,y)) * x = x / T(x,y). [hyper(137,a,1466,a)]. given #1269 (H,wt=13): 1469 (1 / T(x,y)) * x = T(x,y) \ x. [hyper(306,a,419,a(flip),b,1468,a),flip(a)]. given #1270 (H,wt=15): 1467 T(x,y) \ (x \ z) = x \ (T(x,y) \ z). [hyper(125,a,1462,a)]. given #1271 (H,wt=18): 1472 T(x,y) \ z != x \ (T(x,y) \ u) | x \ u = z. [para(1467(a,1),48(a,1)),flip(a)]. given #1272 (H,wt=19): 1470 (x * T(x \ 1,y)) \ 1 = T(x \ 1,y) \ (x \ 1). [hyper(201,a,1469,a)]. given #1273 (H,wt=21): 1138 T(x / (y * z),y) * (y * z) = ((y \ (x / z)) * y) * z. [hyper(120,a,1004,a(flip),b,20,a(flip))]. given #1274 (H,wt=21): 1152 T(R(x,y,z),u) * (y * z) != w | (T(x,u) * y) * z = w. [para(27(a,1),280(a,1,1))]. given #1275 (H,wt=21): 1154 L(x,y,z) * (z * y) != u | z * (y * T(x,z * y)) = u. [para(228(a,1),285(a,1))]. given #1276 (H,wt=21): 1158 x * ((K(y,z) * (u \ x)) \ x) = (x / K(y,z)) * T(u,x). [para(244(a,2),408(a,1,2,1))]. given #1277 (H,wt=17): 1474 (x / K(y,z)) * T(u,x) = u * (K(y,z) \ x). [hyper(672,a,1158,a),flip(a)]. given #1278 (H,wt=17): 1475 (K(x,y) \ z) * T(u,z) = u * (K(x,y) \ z). [para(247(a,1),1474(a,1,1))]. given #1279 (H,wt=11): 1476 T(x,K(y,z) \ u) = T(x,u). [hyper(479,a,1475,a),flip(a)]. given #1280 (H,wt=11): 1477 T(x,K(y,z) * u) = T(x,u). [para(9(a,1),1476(a,1,2)),flip(a)]. given #1281 (H,wt=9): 1484 T(x,T(y,z)) = T(x,y). [para(825(a,2),1477(a,1,2))]. given #1282 (H,wt=11): 1478 T(x,y * K(z,u)) = T(x,y). [para(248(a,1),1476(a,1,2)),flip(a)]. given #1283 (H,wt=11): 1479 T(x,y * z) = T(x,z * y). [para(371(a,1),1476(a,1,2))]. given #1284 (H,wt=11): 1481 T(x,K(y,z) * K(u,w)) = x. [hyper(306,a,242,a(flip),b,1477,a),flip(a)]. given #1285 (H,wt=11): 1483 T(x,y * (z / y)) = T(x,z). [para(389(a,1),1477(a,1,2))]. given #1286 (H,wt=11): 1494 T(x,T(T(y,z),u)) = T(x,y). [hyper(306,a,1484,a(flip),b,1484,a),flip(a)]. given #1287 (H,wt=11): 1495 T(x,T(y,z)) = y \ (x * y). [hyper(306,a,22,a(flip),b,1484,a),flip(a)]. given #1288 (H,wt=11): 1496 x * T(y,T(x,z)) = y * x. [hyper(121,a,1484,a,b,22,a(flip))]. given #1289 (H,wt=11): 1498 T(x,y / z) = T(x,z \ y). [hyper(64,a,985,a(flip),b,1484,a),flip(a)]. given #1290 (H,wt=12): 1517 T(x,T(y,z)) != u | T(x,y) = u. [para(1495(a,2),287(a,1))]. given #1291 (H,wt=12): 1531 T(x,y) != z | T(x,T(y,u)) = z. [para(866(a,1),1517(a,1,2))]. given #1292 (H,wt=13): 1486 T(T(x,y) * z,x) = z * T(x,y). [hyper(946,a,1484,a),flip(a)]. given #1293 (H,wt=13): 1487 T(T(x,y),K(z,u)) = T(x,T(y,w)). [hyper(680,a,1484,a)]. given #1294 (H,wt=13): 1489 T(x,y) \ (z * T(x,y)) = T(z,x). [hyper(511,a,1484,a)]. given #1295 (H,wt=13): 1509 T(x,T(y,z)) = T(x,y * K(u,w)). [hyper(306,a,1484,a,b,1478,a)]. given #1296 (H,wt=13): 1512 T(x,y * (x \ z)) = T(x,z * y). [hyper(306,a,1261,a(flip),b,1479,a),flip(a)]. given #1297 (H,wt=13): 1516 T(x,T(y \ z,u)) = T(x,z / y). [para(108(a,1),1494(a,1,2,1))]. given #1298 (H,wt=13): 1533 T(T(x,K(y,z)),u) = T(x,T(u,w)). [hyper(544,a,1487,a)]. given #1299 (H,wt=13): 1537 T(x,y * (x \ z)) = T(x,y * z). [hyper(306,a,1479,a,b,1512,a),flip(a)]. given #1300 (H,wt=13): 1541 T(x,y * (x * z)) = T(x,y * z). [para(9(a,1),1537(a,1,2,2)),flip(a)]. given #1301 (H,wt=13): 1542 T(x,y * (x * z)) = T(x,z * y). [hyper(306,a,1479,a,b,1541,a),flip(a)]. given #1302 (H,wt=14): 1480 T(x,K(y,z) * L(K(u,w),v5,v6)) = x. [hyper(306,a,1173,a(flip),b,1477,a),flip(a)]. given #1303 (H,wt=14): 1521 T(x,y \ (z * y)) != u | T(x,z) = u. [para(22(a,1),1517(a,1,2))]. given #1304 (H,wt=12): 1543 T(x,y * x) != z | T(x,y) = z. [para(404(a,1),1521(a,1))]. given #1305 (H,wt=12): 1544 T(x,x * y) != z | T(x,y) = z. [para(1479(a,1),1543(a,1))]. given #1306 (H,wt=14): 1524 T(x,y \ z) != u | T(x,z / y) = u. [para(108(a,1),1517(a,1,2))]. given #1307 (H,wt=14): 1526 T(x,(y \ z) \ z) != u | T(x,y) = u. [para(107(a,1),1517(a,1,2))]. given #1308 (H,wt=14): 1529 T(x,y * z) != u | T(x,z * y) = u. [para(792(a,1),1517(a,1,2))]. given #1309 (H,wt=14): 1530 T(x,(y \ z) * y) != u | T(x,z) = u. [para(793(a,1),1517(a,1,2))]. given #1310 (H,wt=14): 1532 T(x,T(y,z)) != u | T(x,T(y,w)) = u. [para(1484(a,2),1531(a,1))]. given #1311 (H,wt=14): 1536 T(x,y * K(z,u)) != w | T(x,y) = w. [para(1509(a,1),1517(a,1))]. given #1312 (H,wt=14): 1539 T(x,y / z) != u | T(x,z \ y) = u. [para(1516(a,1),1517(a,1))]. given #1313 (H,wt=14): 1548 T(x,y) != z | T(x,K(u,w) \ y) = z. [para(252(a,1),1536(a,1,2))]. given #1314 (H,wt=15): 1499 T(x,L(T(y,z),u,w)) = T(x,L(y,u,w)). [para(25(a,2),1484(a,1,2))]. given #1315 (H,wt=15): 1500 T(x,R(T(y,z),u,w)) = T(x,R(y,u,w)). [para(27(a,2),1484(a,1,2))]. given #1316 (H,wt=15): 1504 T(x,T(y / z,u)) = T(x,T(z \ y,u)). [para(236(a,1),1484(a,1,2)),flip(a)]. given #1317 (H,wt=15): 1510 (x * y) \ (z * (x * y)) = T(z,y * x). [hyper(511,a,1479,a)]. given #1318 (H,wt=15): 1511 T((x * y) / z,y * x) = z \ (x * y). [hyper(490,a,1479,a),flip(a)]. given #1319 (H,wt=15): 1515 T(x,T(y * z,u)) = T(x,T(z * y,z)). [para(853(a,2),1483(a,1,2)),flip(a)]. given #1320 (H,wt=15): 1535 ((x * y) / x) * T(x,z) = T(x,z) * y. [hyper(121,a,219,a(flip),b,1489,a),flip(a)]. given #1321 (H,wt=16): 1506 T(T(x,y) * z,x) != u | z * T(x,y) = u. [para(1484(a,1),946(a,1))]. given #1322 (H,wt=16): 1525 T(x,y) \ z != u | T(z / T(x,y),x) = u. [para(108(a,1),1517(a,1))]. given #1323 (H,wt=16): 1528 T(x,K(y,K(z,u)) \ w) != v5 | T(x,w) = v5. [para(275(a,1),1517(a,1,2))]. given #1324 (H,wt=16): 1550 T(x,T(y / z,u)) != w | T(x,z \ y) = w. [para(1484(a,2),1539(a,1))]. given #1325 (H,wt=17): 1482 (K(x,y) * z) * T(u,z) = u * (K(x,y) * z). [hyper(121,a,1477,a(flip),b,22,a(flip))]. given #1326 (H,wt=17): 1497 T(x,T(y,z)) * K(u,w) = K(u,w) * T(x,y). [hyper(120,a,1484,a,b,269,a)]. given #1327 (H,wt=17): 1560 (K(x,y) * z) * T(u,z) = u * (z * K(x,y)). [hyper(306,a,360,a(flip),b,1482,a),flip(a)]. given #1328 (H,wt=18): 1513 (x * y) \ ((z * x) * y) = R(T(z,y * x),x,y). [para(1479(a,1),745(a,2,1))]. given #1329 (H,wt=18): 1522 T(x,L(T(y,z),u,w)) != v5 | T(x,L(y,u,w)) = v5. [para(25(a,2),1517(a,1,2))]. given #1330 (H,wt=18): 1523 T(x,R(T(y,z),u,w)) != v5 | T(x,R(y,u,w)) = v5. [para(27(a,2),1517(a,1,2))]. given #1331 (H,wt=18): 1527 T(x,T(y \ z,u)) != w | T(x,T(z / y,u)) = w. [para(236(a,1),1517(a,1,2))]. given #1332 (H,wt=18): 1549 T(x,y * (z \ 1)) != u | T(x,y * (1 / z)) = u. [para(1327(a,1),1536(a,1,2))]. given #1333 (H,wt=18): 1554 R(T(x / y,z * x),y,z) = (y * z) \ (x * z). [hyper(64,a,628,a(flip),b,1511,a)]. given #1334 (H,wt=18): 1556 T(x,T(y * z,y)) != u | T(x,T(z * y,w)) = u. [para(1515(a,1),1532(a,1))]. given #1335 (H,wt=18): 1559 T(T(x,x * y) * z,x) != u | z * T(x,y) = u. [para(414(a,2),1506(a,1,1,1))]. given #1336 (H,wt=19): 1520 T(x,y / (z \ (u \ y))) = T(x,(z \ y) \ (u * y)). [para(1214(a,1),1498(a,1,2))]. given #1337 (H,wt=19): 1552 ((x * y) * z) * T(x,y * z) = x * ((x * y) * z). [hyper(121,a,1542,a(flip),b,1510,a)]. given #1338 (H,wt=19): 1553 (x / (y * z)) * (z * y) = (z * y) * ((y * z) \ x). [hyper(121,a,108,a(flip),b,1510,a),flip(a)]. given #1339 (H,wt=19): 1558 ((x * y) / x) * T(x,(x * z) / x) = T(x,z) * y. [para(899(a,1),1535(a,2,1))]. given #1340 (H,wt=13): 1565 x \ (T(x,y) * y) = (x * y) / x. [hyper(118,a,1558,a(flip),b,106,a(flip))]. given #1341 (H,wt=19): 1562 (x / y) * (y * K(z,u)) = (K(z,u) * y) * (y \ x). [para(108(a,1),1560(a,1,2)),flip(a)]. given #1342 (H,wt=20): 1507 T(x,y) * T(T(z,x),u) != w | T(z,u) * T(x,y) = w. [para(1484(a,1),483(a,1,2,1))]. given #1343 (H,wt=20): 1514 T(x,y) / (z * (y / z)) != u | (z * (y / z)) \ x = u. [para(1483(a,1),839(a,1,1))]. given #1344 (H,wt=20): 1561 (K(x,y) * z) * T(u,z) != w | u * (z * K(x,y)) = w. [para(1482(a,2),670(a,1))]. given #1345 (H,wt=21): 1162 (x * y) \ (y * (T(x,y) * z)) != u | L(z,T(x,y),y) = u. [para(106(a,1),597(a,1,1))]. given #1346 (H,wt=21): 1168 ((x * y) * T(z,y)) / (z * y) != u | R(x,y,T(z,y)) = u. [para(106(a,1),621(a,1,2))]. given #1347 (H,wt=21): 1169 ((x * K(y,z)) * u) / (x * u) != w | R(K(y,z),x,u) = w. [para(244(a,1),621(a,1,1,1))]. given #1348 (H,wt=21): 1171 (x \ 1) * T(y,x \ y) != z | L(y / x,x,x \ 1) = z. [para(871(a,2),724(a,1,2))]. given #1349 (H,wt=21): 1190 (x * R(x \ 1,y,z)) * x = x * (x * R(x \ 1,y,z)). [para(751(a,1),764(a,2,2))]. given #1350 (H,wt=21): 1216 (R(x \ 1,y,z) \ (x \ 1)) \ 1 = x * R(x \ 1,y,z). [hyper(673,a,1033,a(flip)),flip(a)]. given #1351 (H,wt=19): 1567 x / (R(x \ 1,y,z) \ 1) = x * R(x \ 1,y,z). [hyper(585,a,1216,a)]. given #1352 (H,wt=21): 1226 ((x \ L(x,y,z)) * u) \ 1 = (u \ 1) * (L(x,y,z) \ x). [para(1223(a,1),515(a,1,2)),flip(a)]. given #1353 (H,wt=17): 1568 (x \ 1) * (L(x,y,z) \ x) = L(x,y,z) \ 1. [para(423(a,1),1226(a,1,1)),flip(a)]. given #1354 (H,wt=17): 1569 (x \ 1) \ (L(x,y,z) \ 1) = L(x,y,z) \ x. [hyper(125,a,1568,a)]. given #1355 (H,wt=21): 1253 R(T(x / (x / y),z),u,w) \ x = x / R(T(y,z),u,w). [para(1061(a,1),1246(a,1,1,1))]. given #1356 (H,wt=21): 1276 L(L(x \ 1,y * x,z),x,y) = (z * (y * x)) \ (z * y). [hyper(306,a,95,a(flip),b,470,a),flip(a)]. given #1357 (H,wt=21): 1292 T((x \ y) / y,z) * y = (T(1 / x,z) * x) * (x \ y). [hyper(120,a,690,a,b,101,a)]. given #1358 (H,wt=21): 1307 x * (y * T(L(x,z,u),x * y)) = L(x,z,u) * (x * y). [para(770(a,1),735(a,2,1))]. given #1359 (H,wt=21): 1308 (x * y) * z != (u * x) * y | R(T(u,x * y),x,y) = z. [para(743(a,1),44(a,1)),flip(a)]. given #1360 (H,wt=21): 1316 x * (K(y,z) * u) != w * (x * u) | L(K(y,z),u,x) = w. [para(1306(a,1),45(a,1))]. given #1361 (H,wt=21): 1362 (x * L(x \ 1,y,z)) \ 1 = x \ (L(x \ 1,y,z) \ 1). [para(1075(a,1),579(a,1,1))]. given #1362 (H,wt=21): 1363 (x * ((x \ y) * z)) \ (y * z) != u | a(x,x \ y,z) = u. [para(10(a,1),1084(a,1,2,1))]. given #1363 (H,wt=20): 1574 L(x,y \ 1,y) \ (1 * x) != z | a(y,y \ 1,x) = z. [para(264(a,1),1363(a,1,1))]. given #1364 (H,wt=21): 1402 ((x \ 1) / y) / ((((y \ 1) * x) \ x) \ 1) = T(x \ 1,y). [para(574(a,1),1401(a,2,2)),flip(a)]. given #1365 (H,wt=21): 1404 x / y != (1 / y) * K(z,u) | L(K(z,u),y \ 1,y) = x. [para(1403(a,1),47(a,1)),flip(a)]. given #1366 (H,wt=21): 1423 (x \ 1) * L((x \ 1) \ y,z,u) = x \ L(x * y,z,u). [para(604(a,1),637(a,1,2,1)),flip(a)]. given #1367 (H,wt=19): 1577 (x \ 1) * L((x \ 1) \ 1,y,z) = x \ L(x,y,z). [para(8(a,1),1423(a,2,2,1))]. given #1368 (H,wt=15): 1579 L(x,y,z) * (x \ 1) = x \ L(x,y,z). [hyper(64,a,740,a(flip),b,1577,a)]. given #1369 (H,wt=21): 1424 L(x * (y \ 1),z,u) / (y \ 1) = L(x / y,z,u) * y. [para(626(a,1),642(a,1,1,1))]. given #1370 (H,wt=21): 1425 (x \ 1) \ L((x \ 1) * y,z,u) = x * L(x \ y,z,u). [hyper(118,a,725,a(flip),b,714,a)]. given #1371 (H,wt=21): 1459 L(R(x \ 1,y,z),x,x \ u) = L(R(x \ 1,y,z),x,u). [hyper(306,a,29,a(flip),b,1077,a),flip(a)]. given #1372 (H,wt=21): 1464 (x / y) * (T(x / y,y) * z) = (y \ x) * ((x / y) * z). [para(108(a,1),1461(a,1,1)),flip(a)]. given #1373 (H,wt=19): 1582 (x / y) * ((y \ x) * z) = (y \ x) * ((x / y) * z). [para(108(a,1),1464(a,1,2,1))]. given #1374 (H,wt=17): 1585 (x \ y) * ((y / x) \ 1) = (y / x) \ (x \ y). [hyper(118,a,70,a(flip),b,1582,a),flip(a)]. given #1375 (H,wt=21): 1473 (x * y) * T((x * y) \ z,x) = ((x \ (z / y)) * x) * y. [hyper(1022,a,1138,a)]. given #1376 (H,wt=19): 1586 ((x \ (x / y)) * x) * y = x * (y * T(y \ 1,x)). [hyper(64,a,1115,a(flip),b,1473,a),flip(a)]. given #1377 (H,wt=21): 1570 L(x \ 1,y,z) \ (x \ 1) = x \ (L(x \ 1,y,z) \ 1). [para(326(a,1),1569(a,1,1)),flip(a)]. given #1378 (H,wt=20): 1588 (x \ (x / y)) \ (y \ 1) = y \ (L(y \ 1,y,x) \ 1). [hyper(64,a,497,a(flip),b,1570,a)]. given #1379 (H,wt=19): 1589 (x \ (x / y)) \ (y \ 1) = y \ ((x \ (x / y)) \ 1). [para(460(a,1),1588(a,2,2,1))]. given #1380 (H,wt=21): 1572 (T(1 / x,y) * x) * (x \ z) = z * T(z \ (x \ z),y). [hyper(1022,a,1292,a),flip(a)]. given #1381 (H,wt=21): 1573 x * (y * L(T(x,x * y),z,u)) = L(x,z,u) * (x * y). [para(25(a,2),1307(a,1,2,2))]. given #1382 (H,wt=19): 1592 x * (y * L(T(x,y),z,u)) = L(x,z,u) * (x * y). [para(414(a,1),1573(a,1,2,2,1))]. given #1383 (H,wt=17): 1593 L(x,y,z) * (x * u) = x * (L(x,y,z) * u). [para(228(a,1),1592(a,1,2)),flip(a)]. given #1384 (H,wt=17): 1594 x \ (L(x,y,z) * u) = L(x,y,z) * (x \ u). [hyper(696,a,1593,a)]. given #1385 (H,wt=17): 1595 L(x,y,z) * (x \ (L(x,y,z) \ u)) = x \ u. [hyper(694,a,1593,a),flip(a)]. given #1386 (H,wt=17): 1596 x * (L(x,y,z) * (x \ u)) = L(x,y,z) * u. [hyper(314,a,1593,a),flip(a)]. given #1387 (H,wt=17): 1597 L(x,y,z) \ (x * (L(x,y,z) * u)) = x * u. [hyper(125,a,1593,a)]. given #1388 (H,wt=17): 1598 L(x,y,z) \ (x * u) = x * (L(x,y,z) \ u). [hyper(118,a,152,a(flip),b,1593,a)]. given #1389 (H,wt=17): 1602 L(x,y,z) \ (x \ u) = x \ (L(x,y,z) \ u). [hyper(125,a,1595,a)]. given #1390 (H,wt=19): 1600 (L(x,y,z) * (x \ u)) * x = T(L(x,y,z) * u,x). [hyper(120,a,1594,a(flip),b,827,a)]. given #1391 (H,wt=17): 1607 T(L(x,y,z) * u,x) = L(x,y,z) * T(u,x). [hyper(64,a,1191,a(flip),b,1600,a),flip(a)]. given #1392 (H,wt=19): 1601 (x \ (L(x,y,z) * u)) * x = L(x,y,z) * T(u,x). [para(1594(a,2),1191(a,1,1))]. given #1393 (H,wt=20): 1599 L(x,y,z) * (x * u) != x * w | L(x,y,z) * u = w. [para(1593(a,2),44(a,1))]. given #1394 (H,wt=20): 1603 L(x,y,z) * u != x * w | L(x,y,z) * (x \ u) = w. [para(1596(a,1),44(a,1))]. given #1395 (H,wt=20): 1604 L(x,y,z) \ (x \ u) != x \ w | L(x,y,z) \ u = w. [para(1602(a,2),48(a,1))]. given #1396 (H,wt=20): 1608 L(x,y,z) * T(u,x) != w | T(L(x,y,z) * u,x) = w. [para(1601(a,1),856(a,1))]. given #1397 (H,wt=21): 1575 ((x \ 1) / y) / ((x \ ((y \ 1) \ x)) \ 1) = T(x \ 1,y). [para(349(a,1),1402(a,1,2,1))]. given #1398 (H,wt=21): 1576 (x \ 1) \ (x \ L(x * y,z,u)) = L((x \ 1) \ y,z,u). [hyper(125,a,1423,a)]. given #1399 (H,wt=21): 1591 (x * T(x \ 1,y)) * (x \ z) = z * T(z \ (x \ z),y). [para(537(a,1),1572(a,1,1))]. given #1400 (H,wt=21): 1609 ((x \ ((y \ 1) \ x)) \ ((y \ 1) \ x)) \ 1 = T(x \ 1,y). [hyper(64,a,582,a(flip),b,1575,a)]. given #1401 (H,wt=15): 1611 T(x,(y \ 1) \ x) \ 1 = T(x \ 1,y). [para(403(a,2),1609(a,1,1))]. given #1402 (H,wt=21): 1610 (x * T(x \ (y \ x),z)) / (y \ x) = y * T(y \ 1,z). [hyper(132,a,1591,a)]. given #1403 (H,wt=22): 300 (x * y) \ ((y * x) * (K(x,y) * z)) = L(z,K(x,y),y * x). [para(85(a,1),18(a,2,1)),flip(a)]. given #1404 (H,wt=22): 390 (x * y) \ (K(x,y) * ((y * x) * z)) = L(z,y * x,K(x,y)). [para(354(a,1),18(a,2,1)),flip(a)]. given #1405 (H,wt=22): 560 (((x * y) \ 1) * z) / ((x \ 1) * z) = R(y \ 1,x \ 1,z). [para(515(a,1),20(a,2,1,1)),flip(a)]. given #1406 (H,wt=22): 611 L(K(x,y) \ z,K(x,y),y * x) = (x * y) \ ((y * x) * z). [para(85(a,1),95(a,2,1))]. given #1407 (H,wt=22): 612 (x * y) / L(y \ z,y,x) = (x * y) * ((x * z) \ (x * y)). [para(95(a,2),322(a,1,2))]. given #1408 (H,wt=18): 1614 (x * y) / L(y \ z,y,x) = ((x * y) / z) * y. [hyper(306,a,112,a(flip),b,612,a),flip(a)]. given #1409 (H,wt=21): 1615 (x * y) / z != ((x * y) / u) * y | L(y \ u,y,x) = z. [para(1614(a,1),46(a,1)),flip(a)]. given #1410 (H,wt=22): 622 R(x,y * z,K(z,y)) * (z * y) = (x * (y * z)) * K(z,y). [para(85(a,1),102(a,1,2))]. given #1411 (H,wt=22): 742 x * L(T(y,x),z,u) != w * v5 | w \ (L(y,z,u) * x) = v5. [para(228(a,2),633(a,1))]. given #1412 (H,wt=22): 920 (x * y) \ (T(x,y) * (T(y,x) * z)) = L(z,T(y,x),T(x,y)). [para(898(a,1),18(a,2,1)),flip(a)]. given #1413 (H,wt=22): 1009 T(x,x \ y) * z != u * w | u \ (((x \ y) \ y) * z) = w. [para(305(a,2),633(a,1))]. given #1414 (H,wt=22): 1017 (x \ K(y,z)) * ((x \ 1) \ 1) != u * w | K(y,z) / w = u. [para(421(a,1),480(a,1,1))]. given #1415 (H,wt=22): 1020 x \ y != z * ((u * (w \ z)) \ z) | y / (w * (u \ z)) = x. [para(518(a,2),319(a,2,2))]. given #1416 (H,wt=22): 1021 T(R((x * y) / x,x,y),z) * (x * y) = (x * y) * T(y,z). [para(103(a,2),538(a,1,1,1))]. given #1417 (H,wt=19): 1616 (T((x * y) / x,z) * x) * y = (x * y) * T(y,z). [hyper(1152,a,1021,a)]. given #1418 (H,wt=15): 1617 (x * T(y,z)) * y = (x * y) * T(y,z). [para(538(a,1),1616(a,1,1))]. given #1419 (H,wt=22): 1032 x \ y != z * (((z / u) * w) \ z) | y / ((z / w) * u) = x. [para(732(a,2),319(a,2,2))]. given #1420 (H,wt=22): 1044 (x \ 1) \ L(x \ 1,y,z) != u | x * L(x \ 1,y,z) = u. [para(849(a,1),673(a,1))]. given #1421 (H,wt=22): 1086 ((x * y) * z) * a(R(x,y,z),y,z) = (R(x,y,z) * y) * z. [para(102(a,1),81(a,1,1))]. given #1422 (H,wt=22): 1087 x * L(L(y,z \ x,z),u,w) = z * ((z \ x) * L(y,u,w)). [hyper(121,a,30,a,b,94,a)]. given #1423 (H,wt=22): 1090 x * L(L(y,z,x / z),u,w) = (x / z) * (z * L(y,u,w)). [hyper(121,a,30,a,b,96,a)]. given #1424 (H,wt=22): 1097 L(R(x,y,y \ z),u,w) * z = (L(x,u,w) * y) * (y \ z). [hyper(120,a,29,a(flip),b,101,a)]. given #1425 (H,wt=22): 1120 (x \ y) * T((x \ y) \ y,z) != u | T(x,z) * (x \ y) = u. [para(107(a,1),483(a,1,2,1))]. given #1426 (H,wt=16): 1621 x \ T(x,y) != z | T(x,y) * (x \ 1) = z. [para(1377(a,1),1120(a,1))]. given #1427 (H,wt=22): 1125 ((x \ 1) / y) / (z \ 1) != u | (z \ ((y \ 1) \ x)) \ 1 = u. [para(569(a,1),563(a,1,1))]. given #1428 (H,wt=22): 1130 L(R((x \ y) \ z,u,w),x \ y,x) = R(y \ (x * z),u,w). [para(605(a,1),29(a,1,1)),flip(a)]. given #1429 (H,wt=22): 1131 L(L((x \ y) \ z,u,w),x \ y,x) = L(y \ (x * z),u,w). [para(605(a,1),30(a,1,1)),flip(a)]. given #1430 (H,wt=22): 1136 R(R(x / (y / z),u,w),y / z,z) = R((x * z) / y,u,w). [para(627(a,1),31(a,1,1)),flip(a)]. given #1431 (H,wt=22): 1146 ((x \ y) * x) \ (y / (y / x)) = L((x \ y) \ 1,x \ y,x). [para(1062(a,1),1068(a,1,2))]. given #1432 (H,wt=22): 1178 L(((x * y) * z) / (x * y),y,x) = (x * (y * z)) / (x * y). [hyper(119,a,93,a(flip),b,739,a),flip(a)]. given #1433 (H,wt=22): 1184 (x * y) * R((x * y) \ z,x,y) = ((z / (x * y)) * x) * y. [hyper(280,a,747,a),flip(a)]. given #1434 (H,wt=22): 1188 ((((x * y) * z) / (x * y)) * x) * y = (x * y) * R(z,x,y). [hyper(280,a,749,a)]. given #1435 (H,wt=22): 1197 T(L(x,y,z) * (x * u),L(x,y,z)) = x * (u * L(x,y,z)). [hyper(931,a,848,a)]. given #1436 (H,wt=22): 1220 (x * ((x \ 1) * y)) * (x \ 1) = L(y * (x \ 1),x,x \ 1). [hyper(120,a,717,a(flip),b,1039,a)]. given #1437 (H,wt=21): 1627 L(x * (y \ 1),y,y \ 1) = L(x,y \ 1,y) * (y \ 1). [para(264(a,1),1220(a,1,1)),flip(a)]. given #1438 (H,wt=22): 1234 (x * y) * ((z * L(u,y,x)) / z) = x * (y * ((z * u) / z)). [hyper(121,a,1176,a(flip),b,18,a(flip))]. given #1439 (H,wt=22): 1244 x * T(y,K(z,u)) != w * v5 | w \ T(x * y,K(v6,v7)) = v5. [para(1241(a,2),482(a,1,2))]. given #1440 (H,wt=22): 1250 L((x \ ((y \ 1) \ z)) * x,y \ 1,y) = (x \ (y * z)) * x. [para(604(a,1),1238(a,2,1,2))]. given #1441 (H,wt=22): 1254 R((x \ (y / (1 / z))) * x,z \ 1,z) = (x \ (y * z)) * x. [para(707(a,1),1247(a,2,1,2))]. given #1442 (H,wt=22): 1285 x * (T(y,x) * T(z,y * x)) = L(z,T(y,x),x) * (y * x). [hyper(484,a,596,a),flip(a)]. given #1443 (H,wt=22): 1290 R(T(T(x / y,z),y * u),y,u) = T((y * u) \ (x * u),z). [para(629(a,1),1151(a,2,1))]. given #1444 (H,wt=22): 1304 (x / y) * (x \ (x / z)) != u | x * (((x * z) * y) \ x) = u. [para(320(a,1),729(a,1,2))]. given #1445 (H,wt=22): 1305 ((x * (y \ x)) * z) / x != u | x / ((x / z) * (x \ y)) = u. [para(322(a,1),734(a,1,1,1))]. given #1446 (H,wt=22): 1309 T(x,y) * (x \ z) != u | (x \ z) * T((x \ z) \ z,y) = u. [para(75(a,1),1022(a,1,1,1))]. given #1447 (H,wt=22): 1310 (x * y) * ((x * z) \ (x * y)) != u | ((x * y) / z) * y = u. [para(11(a,1),1031(a,1,2,1,1))]. given #1448 (H,wt=22): 1372 ((x \ (y / z)) * x) * z != u | z * ((x \ (z \ y)) * x) = u. [para(1232(a,1),256(a,1,1)),flip(b)]. given #1449 (H,wt=22): 1381 T(x * y,x \ 1) != x * z | ((x \ 1) \ y) * (x \ 1) = z. [para(1302(a,1),44(a,1))]. given #1450 (H,wt=22): 1391 K(x \ (x / (1 / y)),x) * y != z * u | T(y,x) / u = z. [para(1389(a,2),480(a,1,1))]. given #1451 (H,wt=22): 1395 x \ (K(y \ 1,y) * z) != u | (x \ z) * K(w \ 1,w) = u. [para(1339(a,2),373(a,1))]. given #1452 (H,wt=22): 1409 ((L(x,y,y \ 1) \ z) \ 1) \ 1 = ((y \ 1) * (y * x)) \ z. [para(641(a,1),1396(a,1,1,1,1))]. given #1453 (H,wt=22): 1441 (x \ 1) * R((x \ 1) \ 1,y,z) != u | x \ R(x,y,z) = u. [para(750(a,2),1080(a,1))]. given #1454 (H,wt=22): 1458 T(R(x,y,z) * T(u,R(x,y,z)),x) = T(u,x) * R(x,y,z). [hyper(306,a,227,a(flip),b,1457,a),flip(a)]. given #1455 (H,wt=17): 1635 T(x * R(y,z,u),y) = T(x,y) * R(y,z,u). [para(106(a,1),1458(a,1,1))]. given #1456 (H,wt=19): 1636 x * T(y * R(x,z,u),x) = (y * x) * R(x,z,u). [para(1635(a,2),1196(a,1,2))]. given #1457 (H,wt=17): 1637 (x * R(y,z,u)) * y = (x * y) * R(y,z,u). [hyper(281,a,1636,a)]. given #1458 (H,wt=17): 1638 ((x / y) / R(y,z,u)) * y = x / R(y,z,u). [hyper(692,a,1637,a),flip(a)]. given #1459 (H,wt=21): 1639 (x / R(x \ y,z,u)) * (x \ y) = y / R(x \ y,z,u). [hyper(660,a,1637,a),flip(a)]. given #1460 (H,wt=21): 1641 (x / R(x \ y,z,u)) * (x \ y) = R(y / x,z,u) \ y. [hyper(306,a,1211,a(flip),b,1639,a),flip(a)]. given #1461 (H,wt=22): 1471 T(x \ 1,y) \ (x \ 1) != z | (x * T(x \ 1,y)) \ 1 = z. [para(1469(a,1),201(a,1))]. given #1462 (H,wt=22): 1485 L(x,y,K(z,u)) * (K(z,u) * y) = K(z,u) * (y * T(x,y)). [para(1477(a,1),735(a,1,2,2)),flip(a)]. given #1463 (H,wt=20): 1642 L(x,y,K(z,u)) * (K(z,u) * y) = K(z,u) * (x * y). [hyper(306,a,218,a(flip),b,1485,a),flip(a)]. given #1464 (H,wt=20): 1643 L(x,y,K(z,u)) * (y * K(z,u)) = K(z,u) * (x * y). [hyper(670,a,1642,a)]. given #1465 (H,wt=20): 1645 L(x,y,K(z,u)) * (y * K(z,u)) = (x * y) * K(z,u). [hyper(306,a,244,a(flip),b,1643,a),flip(a)]. given #1466 (H,wt=13): 1647 R(x,y,K(z,u)) = L(x,y,K(z,u)). [hyper(36,a,102,a,b,1645,a)]. given #1467 (H,wt=20): 1650 (K(x,y) * z) * R(u,z,K(x,y)) = K(x,y) * (z * u). [hyper(121,a,1647,a,b,18,a(flip))]. given #1468 (H,wt=22): 1563 T(x,(y \ z) \ (u * z)) != w | T(x,(y \ (u \ z)) \ z) = w. [para(1520(a,1),1539(a,1))]. given #1469 (H,wt=22): 1626 T(x * (L(x,y,z) * u),L(x,y,z)) = x * (u * L(x,y,z)). [para(1593(a,1),1197(a,1,1))]. given #1470 (H,wt=22): 1646 L(x,x \ y,K(z,u)) \ (y * K(z,u)) = (x \ y) * K(z,u). [hyper(118,a,151,a(flip),b,1645,a)]. given #1471 (H,wt=22): 1649 L(x,y * z,K(z,y)) * (z * y) = (x * (y * z)) * K(z,y). [para(85(a,1),1645(a,1,2))]. given #1472 (H,wt=22): 1651 x * ((L(x,y,z) \ u) * L(x,y,z)) = T(x * u,L(x,y,z)). [para(10(a,1),1626(a,1,1,2)),flip(a)]. given #1473 (H,wt=17): 1653 T(x * y,L(x,z,u)) = x * T(y,L(x,z,u)). [para(793(a,2),1651(a,1,2)),flip(a)]. given #1474 (H,wt=20): 1654 T(x * y,L(x,z,u)) != x * w | T(y,L(x,z,u)) = w. [para(1653(a,2),44(a,1))]. given #1475 (H,wt=22): 1652 (K(x,y) * (z * (y * x))) / (x * y) = L(z,y * x,K(x,y)). [hyper(119,a,244,a,b,1649,a)]. given #1476 (H,wt=23): 593 (x * (y * z)) \ (x * (y * (z * u))) = L(L(u,z,y),y * z,x). [para(93(a,1),18(a,2,2,2)),flip(a)]. given #1477 (H,wt=23): 616 L(x \ L(y,z,u),x,u * z) = ((u * z) * x) \ (u * (z * y)). [para(93(a,1),95(a,2,2))]. given #1478 (H,wt=23): 619 ((x * y) * z) \ ((y * z) * R(x,y,z)) = K(y * z,R(x,y,z)). [para(102(a,1),16(a,2,1)),flip(a)]. given #1479 (H,wt=23): 631 R(R(x,y,z) / u,u,y * z) = ((x * y) * z) / (u * (y * z)). [para(102(a,1),103(a,2,1))]. given #1480 (H,wt=23): 666 x \ y != (z * (u * w)) * a(z,u,w) | x * ((z * u) * w) = y. [para(14(a,2),313(a,2,2))]. given #1481 (H,wt=23): 674 ((x * y) * z) / a(x,y,z) != u * w | u \ (x * (y * z)) = w. [para(14(a,2),316(a,1,2))]. given #1482 (H,wt=23): 1006 (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) = K(z,(x \ y) \ y). [para(305(a,2),16(a,2,1)),flip(a)]. given #1483 (H,wt=19): 1656 K(x,y) = (T(y,y \ 1) * x) \ (x * ((y \ 1) \ 1)). [para(326(a,1),1006(a,2,2)),flip(a)]. given #1484 (H,wt=11): 1657 K(x,(y \ 1) \ 1) = K(x,y). [hyper(306,a,1006,a(flip),b,1656,a)]. given #1485 (H,wt=10): 1662 K(x,R(y,z,y)) = K(x,y). [para(802(a,2),1657(a,1,2))]. given #1486 (H,wt=10): 1663 K(x,L(y,z,y)) = K(x,y). [para(799(a,1),1662(a,1,2))]. given #1487 (H,wt=11): 1659 K(x,T(y,K(z,u))) = K(x,y). [para(334(a,2),1657(a,1,2))]. given #1488 (H,wt=12): 1664 K(x,y * a(z,u,z)) = K(x,y). [para(878(a,1),1662(a,1,2))]. given #1489 (H,wt=13): 1661 K(x,K(y \ 1,y) * z) = K(x,z). [para(564(a,2),1657(a,1,2))]. given #1490 (H,wt=13): 1665 K(x,(y \ z) \ z) = K(x,T(y,z)). [para(1014(a,1),1662(a,1,2))]. given #1491 (H,wt=13): 1667 K(x,T(y / z,y)) = K(x,z \ y). [para(759(a,1),1663(a,1,2))]. given #1492 (H,wt=13): 1670 K(x,T(y * z,y)) = K(x,z * y). [para(982(a,2),1664(a,1,2))]. given #1493 (H,wt=13): 1672 K(x,(y \ z) * y) = K(x,T(z,y)). [para(10(a,1),1670(a,1,2,1)),flip(a)]. given #1494 (H,wt=15): 1668 K(x,T(y,K(z,u))) * w = w * K(x,y). [hyper(120,a,1659,a,b,270,a)]. given #1495 (H,wt=15): 1669 K(x,T(y,K(z,u)) \ w) = K(x,y \ w). [para(1375(a,1),1659(a,1,2))]. given #1496 (H,wt=14): 1673 K(x,L(y,z,y) \ u) = K(x,y \ u). [para(758(a,1),1669(a,1,2,1))]. given #1497 (H,wt=14): 1674 K(x,R(y,z,y) \ u) = K(x,y \ u). [para(799(a,2),1673(a,1,2,1))]. given #1498 (H,wt=16): 1666 K(x,L(R(y,z,y),u,w)) = K(x,L(y,u,w)). [para(930(a,1),1662(a,1,2))]. given #1499 (H,wt=16): 1675 K(x,(a(y,z,y) * u) \ w) = K(x,u \ w). [para(805(a,1),1674(a,1,2,1))]. given #1500 (H,wt=16): 1676 K(x,y \ (a(z,u,z) * w)) = K(x,y \ w). [para(1142(a,1),1674(a,1,2)),flip(a)]. given #1501 (H,wt=17): 1658 K(K(x,x \ 1) * y,z) = K(y,(z \ 1) \ 1). [hyper(306,a,955,a,b,1657,a)]. given #1502 (H,wt=17): 1660 K(x,((y \ 1) * (z \ 1)) \ 1) = K(x,z * y). [para(515(a,2),1657(a,1,2,1))]. given #1503 (H,wt=17): 1678 K(x,T(y * z,y) \ u) = K(x,(z * y) \ u). [para(816(a,2),1675(a,1,2,1))]. given #1504 (H,wt=17): 1679 K(x,y \ T(z * u,z)) = K(x,y \ (u * z)). [para(816(a,2),1676(a,1,2,2))]. given #1505 (H,wt=17): 1680 K(x,((y \ z) * y) \ u) = K(x,T(z,y) \ u). [para(10(a,1),1678(a,1,2,1,1)),flip(a)]. given #1506 (H,wt=18): 1671 K(x,(y \ 1) * (y * z)) = K(x,L(z,y,y \ 1)). [para(600(a,1),1661(a,1,2))]. given #1507 (H,wt=19): 1677 K(x,L(T(y,y \ z),u,w)) = K(x,L(T(y,z),u,w)). [para(800(a,1),1666(a,1,2,1))]. given #1508 (H,wt=19): 1681 K(x,T(L(y,z,u),y \ w)) = K(x,L(T(y,w),z,u)). [para(25(a,1),1677(a,1,2))]. given #1509 (H,wt=23): 1046 L(L(x,y,z) \ x,u,w) * x = x * L(L(x,y,z) \ x,u,w). [para(875(a,1),228(a,1,2,1)),flip(a)]. given #1510 (H,wt=13): 1682 T(x,L(L(x,y,z) \ x,u,w)) = x. [hyper(231,a,1046,a)]. given #1511 (H,wt=23): 1153 (x * y) * R(L(z,y,x),u,w) != v5 | x * (y * R(z,u,w)) = v5. [para(29(a,2),285(a,1,2))]. given #1512 (H,wt=23): 1167 (x * K(y,z)) * u != w * (u * K(y,z)) | R(x,K(y,z),u) = w. [para(244(a,1),620(a,2,2))]. given #1513 (H,wt=23): 1274 (x * y) * R((x * y) \ x,z,u) = x * (y * R(y \ 1,z,u)). [hyper(121,a,469,a,b,18,a(flip))]. given #1514 (H,wt=23): 1277 (x * y) * L((x * y) \ x,z,u) = x * (y * L(y \ 1,z,u)). [hyper(121,a,470,a(flip),b,18,a(flip))]. given #1515 (H,wt=23): 1280 (x * y) * R(x \ (x / y),z,u) = x * (y * R(y \ 1,z,u)). [hyper(121,a,499,a,b,18,a(flip))]. given #1516 (H,wt=23): 1281 (x * y) * T((x * y) \ (x * z),u) = x * (y * T(y \ z,u)). [para(95(a,1),530(a,1,2,1))]. given #1517 (H,wt=21): 1686 ((x \ ((x * y) / z)) * x) * z = x * (z * T(z \ y,x)). [hyper(64,a,1473,a(flip),b,1281,a)]. given #1518 (H,wt=21): 1687 x * ((y \ (x \ (y * z))) * y) = y * (x * T(x \ z,y)). [hyper(1372,a,1686,a)]. given #1519 (H,wt=19): 1689 x * T(x \ (y * z),y) = y * (x * T(x \ z,y)). [para(793(a,2),1687(a,1,2))]. given #1520 (H,wt=21): 1688 x * (y * T(y \ (x \ z),x)) = ((x \ (z / y)) * x) * y. [para(10(a,1),1686(a,1,1,1,2,1)),flip(a)]. given #1521 (H,wt=22): 1690 x * (y * T(y \ z,x)) != y * u | T(y \ (x * z),x) = u. [para(1689(a,1),44(a,1))]. given #1522 (H,wt=22): 1691 x * T(x \ (y * z),y) != y * u | x * T(x \ z,y) = u. [para(1689(a,2),44(a,1))]. given #1523 (H,wt=23): 1282 (x * y) * T((x * y) \ z,u) = x * (y * T(y \ (x \ z),u)). [para(293(a,1),530(a,1,2,1))]. given #1524 (H,wt=17): 1694 x * (y * T(y \ (x \ z),z)) = T(z,x * y). [hyper(979,a,1282,a),flip(a)]. given #1525 (H,wt=23): 1365 (x * (T(y,x) * z)) \ ((y * x) * z) != u | a(x,T(y,x),z) = u. [para(106(a,1),1084(a,1,2,1))]. given #1526 (H,wt=23): 1411 T((x \ 1) * (y * (1 / (x \ 1))),z) = (x \ 1) * (T(y,z) * x). [para(75(a,1),1410(a,2,2,2))]. given #1527 (H,wt=19): 1695 T((x \ 1) * (y * x),z) = (x \ 1) * (T(y,z) * x). [para(75(a,1),1411(a,1,1,2,2))]. given #1528 (H,wt=21): 1696 T(x * y,L(y \ 1,z,u)) = T(x,L(y \ 1,z,u)) * y. [hyper(1654,a,1695,a)]. given #1529 (H,wt=23): 1416 L(x / (y * x),z,u) * (y * x) = (L(1 / y,z,u) * y) * x. [para(216(a,1),525(a,1,1,1))]. given #1530 (H,wt=23): 1418 (x * y) * L(x \ (x / y),z,u) = x * (y * L(y \ 1,z,u)). [para(460(a,1),527(a,1,2,1))]. given #1531 (H,wt=23): 1420 (x * y) * L(L(x,z,u),w,v5) = x * (y * L(L(x,z,u),w,v5)). [para(770(a,1),527(a,1,2,1))]. given #1532 (H,wt=23): 1427 x * ((x \ y) * T((x \ y) \ z,u)) = y * T(y \ (x * z),u). [hyper(121,a,1129,a(flip),b,94,a),flip(a)]. given #1533 (H,wt=19): 1698 (x \ y) * T((x \ y) \ z,x) = y * T(y \ z,x). [hyper(35,a,1689,a(flip),b,1427,a),flip(a)]. given #1534 (H,wt=21): 1699 x * ((x \ y) * T((x \ y) \ 1,z)) = y * T(y \ x,z). [para(8(a,1),1427(a,2,2,1,2))]. given #1535 (H,wt=19): 1700 x * T(x \ y,z) = y * K(z \ (z / (y \ x)),z). [para(1384(a,2),1699(a,1,2)),flip(a)]. given #1536 (H,wt=19): 1701 K(x \ (x / (y \ z)),x) = y \ (z * T(z \ y,x)). [hyper(633,a,1700,a),flip(a)]. given #1537 (H,wt=21): 1702 (x * y) * K(z \ (z / ((x * y) \ x)),z) = x * T(y,z). [para(9(a,1),1700(a,1,2,1)),flip(a)]. given #1538 (H,wt=15): 1703 T(x,T(y * z,u)) = T(x,y * T(z,w)). [para(1702(a,1),1509(a,2,2))]. given #1539 (H,wt=15): 1704 T(x,T(y * z,u)) = T(x,z * T(y,w)). [hyper(1556,a,1703,a)]. given #1540 (H,wt=23): 1430 (T(x / (y / z),u) * (y / z)) * z = T((x * z) / y,u) * y. [hyper(120,a,1135,a(flip),b,104,a),flip(a)]. given #1541 (H,wt=21): 1706 (T(1 / (x / y),z) * (x / y)) * y = T(y / x,z) * x. [para(7(a,1),1430(a,2,1,1,1))]. given #1542 (H,wt=21): 1707 (T(1 / (x / y),z) * (x / y)) * y = x * T(x \ y,z). [hyper(306,a,537,a(flip),b,1706,a),flip(a)]. given #1543 (H,wt=21): 1708 ((x / y) * T((x / y) \ 1,z)) * y = x * T(x \ y,z). [para(537(a,1),1707(a,1,1))]. given #1544 (H,wt=19): 1709 K(x \ (x / (y / z)),x) * z = y * T(y \ z,x). [para(1384(a,2),1708(a,1,1))]. given #1545 (H,wt=19): 1710 K(x \ (x / (y / z)),x) = (y * T(y \ z,x)) / z. [hyper(132,a,1709,a),flip(a)]. given #1546 (H,wt=23): 1436 T(x,y) != R(T(z,y * u),y,u) | (y * u) \ ((y * z) * u) = x. [para(1434(a,1),50(a,1)),flip(a)]. given #1547 (H,wt=23): 1578 (x \ 1) * L((x \ 1) \ T(y,x),z,u) = x \ L(y * x,z,u). [para(106(a,1),1423(a,2,2,1))]. given #1548 (H,wt=23): 1583 (x \ (x * y)) * (((x * y) / x) * z) = ((x * y) / x) * (y * z). [para(219(a,1),1464(a,1,2,1)),flip(a)]. given #1549 (H,wt=19): 1712 ((x * y) / x) * (y * z) = y * (((x * y) / x) * z). [para(9(a,1),1583(a,1,1)),flip(a)]. given #1550 (H,wt=17): 1713 ((x * y) / x) * (y \ 1) = y \ ((x * y) / x). [hyper(481,a,1712,a),flip(a)]. given #1551 (H,wt=23): 1584 ((x / y) \ x) * ((x / (x / y)) * z) = (x / (x / y)) * (y * z). [para(235(a,1),1464(a,1,2,1)),flip(a)]. given #1552 (H,wt=19): 1714 (x / (x / y)) * (y * z) = y * ((x / (x / y)) * z). [hyper(716,a,1584,a),flip(a)]. given #1553 (H,wt=19): 1716 (x / (x / y)) \ (y * z) = y * ((x / (x / y)) \ z). [hyper(118,a,152,a(flip),b,1714,a)]. given #1554 (H,wt=23): 1587 x * ((y \ x) * T((y \ x) \ 1,x)) = ((x \ y) * x) * (y \ x). [para(75(a,1),1586(a,1,1,1,2)),flip(a)]. given #1555 (H,wt=19): 1717 ((x \ y) * x) * (y \ x) = x * (y \ ((x \ y) * x)). [para(1312(a,1),1587(a,1,2)),flip(a)]. given #1556 (H,wt=17): 1718 ((x \ y) * x) * (y \ x) = x * K(x \ y,x). [para(86(a,1),1717(a,2,2))]. given #1557 (H,wt=19): 1719 (x * y) * ((y * x) \ y) = y * K(y \ (y * x),y). [para(9(a,1),1718(a,1,1,1))]. given #1558 (H,wt=15): 1720 (x * y) * ((y * x) \ y) = y * K(x,y). [para(9(a,1),1719(a,2,2,1))]. given #1559 (H,wt=16): 1721 (x * y) \ (y * K(x,y)) = L(x \ 1,x,y). [hyper(118,a,1720,a(flip),b,464,a)]. given #1560 (H,wt=11): 1725 x * K(y,x) = y * (x / y). [hyper(39,a,1145,a,b,1721,a),flip(a)]. given #1561 (H,wt=9): 1731 T(x * K(y,x),y) = x. [para(1725(a,2),813(a,1,1))]. given #1562 (H,wt=9): 1736 T(K(x,y) * y,x) = y. [para(244(a,2),1731(a,1,1))]. given #1563 (H,wt=11): 1726 (x * y) / x = y * K(x,y). [hyper(39,a,1068,a,b,1721,a)]. given #1564 (H,wt=11): 1727 T(x,y \ x) = x * K(y,x). [hyper(306,a,871,a,b,1725,a)]. given #1565 (H,wt=11): 1728 T(x,y) * K(y,T(x,y)) = x. [hyper(306,a,814,a(flip),b,1725,a),flip(a)]. given #1566 (H,wt=11): 1729 (x * K(y,x)) * y = y * x. [hyper(120,a,1725,a,b,850,a)]. given #1567 (H,wt=11): 1730 K(x,y) = y \ ((x * y) / x). [hyper(118,a,850,a,b,1725,a),flip(a)]. given #1568 (H,wt=11): 1734 K(K(x,y) * K(z,u),w) = 1. [hyper(117,a,1731,a(flip),b,1481,a(flip)),flip(a)]. given #1569 (H,wt=11): 1741 (x * y) / x = K(x,y) * y. [hyper(274,a,1736,a)]. given #1570 (H,wt=13): 1724 x / (x / y) = y * K(y \ x,y). [hyper(39,a,1146,a,b,1721,a)]. given #1571 (H,wt=13): 1732 x / (x / y) = y * K(x / y,y). [hyper(353,a,1731,a)]. given #1572 (H,wt=11): 1756 K(x / y,y) = K(y \ x,y). [hyper(35,a,1724,a(flip),b,1732,a(flip)),flip(a)]. given #1573 (H,wt=13): 1733 (x \ y) * K(x,x \ y) = y / x. [hyper(239,a,1731,a),flip(a)]. given #1574 (H,wt=13): 1735 T(T(x * K(y,x),z),y) = T(x,z). [para(1731(a,1),23(a,1,1)),flip(a)]. given #1575 (H,wt=13): 1742 K(x,x \ y) * (x \ y) = y / x. [hyper(239,a,1736,a),flip(a)]. given #1576 (H,wt=13): 1744 x * (y * K(x,y)) = T(x,y) * y. [hyper(121,a,1726,a(flip),b,1565,a)]. given #1577 (H,wt=13): 1749 K(x,y) = ((x * y) / x) * (y \ 1). [hyper(306,a,1713,a,b,1730,a),flip(a)]. given #1578 (H,wt=13): 1750 (x \ y) \ (y / x) = K(x,x \ y). [para(10(a,1),1730(a,2,2,1)),flip(a)]. given #1579 (H,wt=13): 1757 (x * (y / x)) \ y = K(x \ y,x). [hyper(64,a,89,a,b,1756,a)]. given #1580 (H,wt=13): 1761 (x * K(y,x)) * (x \ 1) = K(y,x). [para(1726(a,1),1749(a,2,1)),flip(a)]. given #1581 (H,wt=13): 1763 K(x \ y,x) * (x * (y / x)) = y. [hyper(39,a,240,a,b,1757,a)]. given #1582 (H,wt=13): 1764 K(x,y) / (y \ 1) = y * K(x,y). [hyper(132,a,1761,a)]. given #1583 (H,wt=13): 1765 (1 / x) \ K(y,x) = x * K(y,x). [hyper(64,a,1016,a(flip),b,1764,a)]. given #1584 (H,wt=13): 1766 K(x,y) \ (K(x,y) / y) = 1 / y. [hyper(922,a,1765,a)]. given #1585 (H,wt=13): 1767 K(x,y) = (1 / y) * ((x * y) / x). [hyper(121,a,1726,a,b,1765,a),flip(a)]. given #1586 (H,wt=13): 1768 (1 / x) * K(y,x) = K(y,x) / x. [hyper(372,a,1766,a)]. given #1587 (H,wt=12): 1770 L(K(x,y),y \ 1,y) = K(x,y). [hyper(1404,a,1768,a(flip))]. given #1588 (H,wt=13): 1771 (x \ 1) * K(y,x) = x \ K(y,x). [hyper(118,a,1770,a(flip),b,264,a),flip(a)]. given #1589 (H,wt=14): 1737 x * y != z * x | y * K(x,y) = z. [para(1731(a,1),232(a,1,2)),flip(b)]. given #1590 (H,wt=14): 1747 T(x,y \ x) != x * z | K(y,x) = z. [para(1727(a,2),44(a,1))]. given #1591 (H,wt=14): 1755 T(x,y / (y / z)) != u | T(x,z) = u. [para(1724(a,2),1536(a,1,2))]. given #1592 (H,wt=14): 1759 T(x * K(x * y,x),y) = R(x,z,x). [hyper(942,a,1735,a),flip(a)]. given #1593 (H,wt=15): 1743 x * ((y * z) / y) = x * (z * K(y,z)). [hyper(121,a,1726,a,b,9,a)]. given #1594 (H,wt=15): 1753 (x * y) / ((x * y) / x) = x * K(y,x). [para(9(a,1),1724(a,2,2,1))]. given #1595 (H,wt=15): 1758 K((x \ y) \ y,x \ y) = K(x,x \ y). [para(75(a,1),1756(a,1,1)),flip(a)]. given #1596 (H,wt=13): 1775 K(x,x \ y) = y \ T(y,x \ y). [hyper(64,a,828,a(flip),b,1758,a),flip(a)]. given #1597 (H,wt=13): 1776 x \ (y * (x / y)) = K(y,y \ x). [para(871(a,1),1775(a,2,2)),flip(a)]. given #1598 (H,wt=11): 1777 K(x,y / x) = K(x,x \ y). [hyper(647,a,1776,a)]. given #1599 (H,wt=11): 1778 K(x,x \ (y * x)) = K(x,y). [para(11(a,1),1777(a,1,2)),flip(a)]. given #1600 (H,wt=9): 1779 K(x,T(y,x)) = K(x,y). [para(22(a,2),1778(a,1,2))]. given #1601 (H,wt=9): 1784 T(x,y) * K(y,x) = x. [para(1779(a,1),1728(a,1,2))]. given #1602 (H,wt=9): 1785 T(x,y) = K(y,x) \ x. [hyper(366,a,1784,a),flip(a)]. given #1603 (H,wt=9): 1786 K(x,y) * T(y,x) = y. [hyper(358,a,1784,a)]. given #1604 (H,wt=9): 1787 K(x,y) = T(y,x) \ y. [hyper(125,a,1784,a),flip(a)]. given #1605 (H,wt=9): 1788 K(x,y) = y / T(y,x). [hyper(119,a,1784,a(flip),b,244,a),flip(a)]. given #1606 (H,wt=9): 1801 K(x,x \ y) = K(x,y). [hyper(306,a,840,a,b,1787,a)]. given #1607 (H,wt=9): 1809 K(x,y * x) = K(x,y). [hyper(64,a,1778,a(flip),b,1801,a),flip(a)]. given #1608 (H,wt=9): 1811 K(x,x * y) = K(x,y). [para(9(a,1),1801(a,1,2)),flip(a)]. given #1609 (H,wt=11): 1780 K(x,T(y,T(x,z))) = K(x,y). [para(1495(a,2),1778(a,1,2))]. given #1610 (H,wt=11): 1781 K(x,(y \ x) \ x) = K(x,y). [hyper(64,a,1665,a,b,1779,a)]. given #1611 (H,wt=11): 1782 K(x,y * x) = K(x,x * y). [hyper(64,a,1670,a(flip),b,1779,a)]. given #1612 (H,wt=11): 1783 K(x,x / y) = K(x,y \ x). [hyper(64,a,1667,a(flip),b,1779,a),flip(a)]. given #1613 (H,wt=11): 1798 T(x,T(y,z)) \ x = K(y,x). [hyper(118,a,1786,a(flip),b,1497,a)]. given #1614 (H,wt=9): 1814 K(T(x,y),z) = K(x,z). [hyper(64,a,1787,a,b,1798,a)]. given #1615 (H,wt=11): 1802 K(x,y) / y = 1 / T(y,x). [hyper(119,a,1787,a,b,1469,a)]. given #1616 (H,wt=11): 1803 T(x,y) \ 1 = x \ K(y,x). [hyper(118,a,1787,a,b,1463,a),flip(a)]. given #1617 (H,wt=11): 1812 K(x,y) * (x \ y) = y / x. [para(1801(a,1),1742(a,1,1))]. given #1618 (H,wt=11): 1815 T(K(x,y),z) = K(T(x,u),y). [hyper(306,a,149,a,b,1814,a)]. given #1619 (H,wt=11): 1816 K(T(x,y),T(z,x)) = K(x,z). [hyper(306,a,1779,a(flip),b,1814,a),flip(a)]. given #1620 (H,wt=11): 1819 K(x * y,z) = K(y * x,z). [hyper(64,a,999,a(flip),b,1814,a)]. given #1621 (H,wt=11): 1820 K(x / y,z) = K(y \ x,z). [hyper(64,a,975,a(flip),b,1814,a),flip(a)]. given #1622 (H,wt=11): 1823 K((x \ y) * x,z) = K(y,z). [para(793(a,1),1814(a,1,1))]. given #1623 (H,wt=11): 1824 K(x * (y / x),z) = K(y,z). [para(813(a,1),1814(a,1,1)),flip(a)]. given #1624 (H,wt=11): 1825 T(x,y) = (K(y,x) / x) \ 1. [hyper(189,a,1802,a(flip)),flip(a)]. given #1625 (H,wt=12): 1790 T(x,y) * z != x | K(y,x) = z. [para(1784(a,1),44(a,1)),flip(a)]. given #1626 (H,wt=12): 1791 T(x,y) \ x != z | K(y,x) = z. [para(1784(a,1),286(a,1,2)),flip(b)]. given #1627 (H,wt=12): 1796 x / T(x,y) != z | K(y,x) = z. [para(1785(a,2),282(a,1,2)),flip(b)]. given #1628 (H,wt=12): 1799 K(x,y) != z \ y | T(y,x) = z. [para(1786(a,1),356(a,1,2)),flip(a)]. given #1629 (H,wt=12): 1807 K(x,y) != y / z | T(y,x) = z. [para(1788(a,2),46(a,1))]. given #1630 (H,wt=12): 1808 K(x,y) != z | T(y,x) \ y = z. [para(1788(a,2),494(a,1))]. given #1631 (H,wt=12): 1831 K(T(x,y),z) != u | K(x,z) = u. [para(1815(a,1),179(a,1)),flip(b)]. given #1632 (H,wt=10): 1842 1 != x | K(y,K(z,u)) = x. [para(251(a,1),1831(a,1))]. given #1633 (H,wt=12): 1838 K(x,x \ y) != z | K(x,y) = z. [para(840(a,2),1791(a,1))]. given #1634 (H,wt=12): 1839 K(x,y) != z | K(T(x,u),y) = z. [para(1798(a,1),1791(a,1))]. given #1635 (H,wt=12): 1848 K(x,y) != z | K(x,x * y) = z. [para(9(a,1),1838(a,1,2))]. given #1636 (H,wt=13): 1794 K(x * K(y,z),u) = u / T(u,x). [hyper(196,a,1478,a(flip),b,1785,a(flip)),flip(a)]. given #1637 (H,wt=11): 1850 K(x * K(y,z),u) = K(x,u). [hyper(306,a,1788,a,b,1794,a),flip(a)]. given #1638 (H,wt=11): 1854 K(K(x,y) \ z,u) = K(z,u). [hyper(64,a,1823,a(flip),b,1850,a),flip(a)]. given #1639 (H,wt=13): 1795 K(K(x,y) * z,u) = u / T(u,z). [hyper(196,a,1477,a(flip),b,1785,a(flip)),flip(a)]. given #1640 (H,wt=13): 1817 x * K(T(y,z),u) = K(y,u) * x. [hyper(121,a,1814,a,b,240,a)]. given #1641 (H,wt=13): 1827 (x \ 1) * K(y,x) = T(x,y) \ 1. [hyper(306,a,1771,a,b,1803,a)]. given #1642 (H,wt=13): 1833 K(T(x \ y,z),u) = K(y / x,u). [hyper(306,a,1814,a,b,1820,a)]. given #1643 (H,wt=13): 1844 K(L(x,y,x),z) != u | K(x,z) = u. [para(758(a,1),1831(a,1,1))]. given #1644 (H,wt=13): 1852 T(K(x,y),z) = K(x * K(u,w),y). [hyper(306,a,149,a,b,1850,a)]. given #1645 (H,wt=13): 1856 K(x * T(y,z),u) = K(x * y,u). [para(1702(a,1),1850(a,1,1))]. given #1646 (H,wt=13): 1859 T(x,T(y,z) \ 1) = T(x,y \ 1). [para(1827(a,1),1478(a,1,2))]. given #1647 (H,wt=13): 1863 K(x * T(y,z),u) = K(y * x,u). [hyper(306,a,1819,a,b,1856,a),flip(a)]. given #1648 (H,wt=13): 1866 K(T(x,y) * z,u) = K(x * z,u). [hyper(64,a,1819,a,b,1863,a)]. given #1649 (H,wt=14): 1810 K(x,x \ y) = a(z,u,z) * K(x,y). [hyper(121,a,1801,a(flip),b,771,a),flip(a)]. given #1650 (H,wt=14): 1826 (K(x,y) / y) \ 1 != z | T(y,x) = z. [para(1802(a,2),271(a,1,1)),flip(b)]. given #1651 (H,wt=14): 1840 K(x \ (y * x),z) != u | K(y,z) = u. [para(22(a,1),1831(a,1,1))]. given #1652 (H,wt=14): 1841 K(x \ y,z) != u | K(y / x,z) = u. [para(108(a,1),1831(a,1,1))]. given #1653 (H,wt=14): 1843 K((x \ y) \ y,z) != u | K(x,z) = u. [para(107(a,1),1831(a,1,1))]. given #1654 (H,wt=14): 1845 K(x * y,z) != u | K(y * x,z) = u. [para(792(a,1),1831(a,1,1))]. given #1655 (H,wt=14): 1846 K((x \ y) * x,z) != u | K(y,z) = u. [para(793(a,1),1831(a,1,1))]. given #1656 (H,wt=14): 1847 K(x * (y / x),z) != u | K(y,z) = u. [para(794(a,1),1831(a,1,1))]. given #1657 (H,wt=14): 1851 K(x * K(y,z),u) != w | K(x,u) = w. [para(1794(a,2),1796(a,1))]. given #1658 (H,wt=14): 1857 K(K(x,y) * z,u) != w | K(z,u) = w. [para(1795(a,2),1796(a,1))]. given #1659 (H,wt=14): 1860 K(x / y,z) != u | K(y \ x,z) = u. [para(1833(a,1),1831(a,1))]. given #1660 (H,wt=14): 1868 K(x,y) != z | K(K(u,w) * x,y) = z. [para(1850(a,1),1845(a,1))]. given #1661 (H,wt=14): 1870 K(K(x,y) \ z,u) != w | K(z,u) = w. [para(1850(a,1),1846(a,1))]. given #1662 (H,wt=14): 1872 K(x,(y \ 1) \ 1) != z | K(x,y) = z. [para(1658(a,1),1857(a,1))]. given #1663 (H,wt=15): 1760 x \ K(y,x \ 1) = (y * (x \ 1)) / y. [hyper(1018,a,1749,a)]. given #1664 (H,wt=15): 1769 x * ((y * (x \ 1)) / y) = K(y,x \ 1). [hyper(306,a,182,a(flip),b,1767,a)]. given #1665 (H,wt=15): 1800 (x * T(x \ 1,y)) \ 1 = K(y,x \ 1). [hyper(306,a,1470,a,b,1787,a)]. given #1666 (H,wt=15): 1813 x * K(y,T(z,T(y,u))) = K(y,z) * x. [hyper(121,a,1780,a,b,240,a)]. given #1667 (H,wt=15): 1821 K(R(T(x,y),z,u),w) = K(R(x,z,u),w). [para(27(a,2),1814(a,1,1))]. given #1668 (H,wt=15): 1834 K(x / y,z) * u = u * K(y \ x,z). [hyper(120,a,1820,a,b,270,a)]. given #1669 (H,wt=15): 1837 K(x,y \ 1) \ 1 = y * T(y \ 1,x). [hyper(121,a,1825,a,b,579,a(flip)),flip(a)]. given #1670 (H,wt=15): 1858 (T(1 / x,y) \ 1) / K(y,1 / x) = x. [hyper(119,a,1827,a(flip),b,193,a(flip))]. given #1671 (H,wt=15): 1862 T(K(x \ 1,y),z) = K(T(x,u) \ 1,y). [para(1827(a,1),1852(a,2,1))]. given #1672 (H,wt=15): 1864 K(x * (y / z),u) = K(x * (z \ y),u). [para(108(a,1),1856(a,1,1,2)),flip(a)]. given #1673 (H,wt=15): 1875 (x \ K(y,x \ 1)) * y = y * (x \ 1). [hyper(120,a,1760,a,b,xx)]. given #1674 (H,wt=15): 1876 (T(1 / x,y) \ 1) / K(y,x \ 1) = x. [para(325(a,1),1858(a,1,2,2))]. given #1675 (H,wt=15): 1877 T(K(x,y),z) = K(T(1 / x,u) \ 1,y). [para(78(a,1),1862(a,1,1,1))]. given #1676 (H,wt=15): 1878 T(K(x,y),z) = K(T(x \ 1,u) \ 1,y). [para(326(a,1),1862(a,1,1,1))]. given #1677 (H,wt=15): 1879 T(1 / x,y) \ 1 = x * K(y,x \ 1). [hyper(134,a,1876,a),flip(a)]. given #1678 (H,wt=16): 1754 x / (x / y) != y * z | K(y \ x,y) = z. [para(1724(a,2),44(a,1))]. given #1679 (H,wt=16): 1762 (x \ y) * K(x,x \ y) != z | y / x = z. [para(1750(a,1),262(a,1,2)),flip(b)]. given #1680 (H,wt=16): 1772 x \ K(y,x) != z | (x \ 1) * K(y,x) = z. [para(1770(a,1),640(a,1,2))]. given #1681 (H,wt=16): 1773 (x * K(x * y,x)) * y = y * R(x,z,x). [hyper(121,a,1759,a(flip),b,22,a(flip)),flip(a)]. given #1682 (H,wt=16): 1792 T(x,y) \ x != z * u | z \ K(y,x) = u. [para(1784(a,1),312(a,1,2))]. given #1683 (H,wt=16): 1797 K(x,y) * T(y,x) != z * u | z \ y = u. [para(1785(a,2),482(a,1,2))]. given #1684 (H,wt=16): 1805 T(x,y) * K(y,x) != z * u | x / u = z. [para(1787(a,2),311(a,1,2))]. given #1685 (H,wt=16): 1822 x * K(T(y,z),u) != w | K(y,u) * x = w. [para(1814(a,2),358(a,1,2))]. given #1686 (H,wt=16): 1861 K(T(x / y,x),z) != u | K(y \ x,z) = u. [para(759(a,1),1844(a,1,1))]. given #1687 (H,wt=16): 1865 T(x,T(y,z) \ 1) != T(u,y \ 1) | u = x. [para(1859(a,1),50(a,1)),flip(a)]. given #1688 (H,wt=16): 1867 K(T(x * y,z),u) != w | K(y * x,u) = w. [para(1814(a,2),1845(a,1))]. given #1689 (H,wt=16): 1869 K(x * T(y,z),u) != w | K(x * y,u) = w. [para(1863(a,2),1845(a,1))]. given #1690 (H,wt=17): 1738 R(x * K(y,x),z,u) * y = y * R(x,z,u). [para(1731(a,1),229(a,1,2,1)),flip(a)]. given #1691 (H,wt=16): 1882 R(x * K(y,x),z,x) = x * K(x * y,x). [hyper(36,a,1773,a,b,1738,a),flip(a)]. given #1692 (H,wt=9): 1884 K(x * y,x) = K(y,x). [hyper(921,a,1882,a),flip(a)]. given #1693 (H,wt=9): 1885 K(x / y,y) = K(x,y). [hyper(1847,a,1884,a),flip(a)]. given #1694 (H,wt=9): 1887 K(x * y,y) = K(x,y). [hyper(1845,a,1884,a)]. given #1695 (H,wt=9): 1888 K(x \ y,x) = K(y,x). [para(10(a,1),1884(a,1,1)),flip(a)]. given #1696 (H,wt=9): 1891 K(x,y) = x \ T(x,y). [hyper(64,a,828,a(flip),b,1888,a),flip(a)]. given #1697 (H,wt=9): 1892 T(x,y) = x * K(x,y). [hyper(121,a,1888,a(flip),b,828,a(flip)),flip(a)]. given #1698 (H,wt=9): 1893 T(x,y) = K(x,y) * x. [para(1888(a,1),825(a,2,1))]. given #1699 (H,wt=9): 1909 K(x,y \ x) = K(y,x). [hyper(1747,a,1892,a),flip(a)]. given #1700 (H,wt=9): 1930 K(x \ y,y) = K(y,x). [hyper(64,a,1781,a(flip),b,1909,a),flip(a)]. given #1701 (H,wt=11): 1886 K(x,y \ x) = K(y,y \ x). [hyper(1846,a,1884,a)]. given #1702 (H,wt=11): 1896 K(T(x,y),z) = x \ T(x,z). [hyper(1839,a,1891,a)]. given #1703 (H,wt=11): 1897 T(x,y) \ x = y \ T(y,x). [hyper(1808,a,1891,a)]. given #1704 (H,wt=11): 1898 K(x,y) = (1 / x) * T(x,y). [hyper(306,a,1393,a,b,1891,a),flip(a)]. given #1705 (H,wt=11): 1900 K(x,y) = T(x,y) * (x \ 1). [hyper(306,a,1379,a,b,1891,a),flip(a)]. given #1706 (H,wt=11): 1902 T(x,y) = (1 / x) \ K(x,y). [hyper(118,a,1891,a,b,1393,a),flip(a)]. given #1707 (H,wt=11): 1905 T(x,y) * (y \ T(y,x)) = x. [hyper(121,a,1891,a(flip),b,1787,a(flip))]. given #1708 (H,wt=9): 1935 x \ T(x,y) = K(x,y). [para(1905(a,1),1790(a,1)),flip(b),xx(a)]. given #1709 (H,wt=11): 1922 T(x,T(y,z)) = K(x,y) * x. [hyper(1531,a,1893,a)]. given #1710 (H,wt=9): 1937 K(x,T(y,z)) = K(x,y). [hyper(36,a,1893,a(flip),b,1922,a(flip))]. given #1711 (H,wt=11): 1932 K(x,y) = (x \ 1) * T(x,y). [para(325(a,1),1898(a,2,1))]. given #1712 (H,wt=11): 1934 T(x,y) = (x \ 1) \ K(x,y). [para(325(a,1),1902(a,2,1))]. given #1713 (H,wt=11): 1939 K(T(x,y),T(z,u)) = K(x,z). [hyper(1839,a,1937,a)]. given #1714 (H,wt=11): 1940 K(T(x,y),z) = K(x,T(z,u)). [hyper(1831,a,1937,a),flip(a)]. given #1715 (H,wt=11): 1941 T(K(x,T(y,z)),u) = K(x,y). [hyper(368,a,1937,a)]. given #1716 (H,wt=11): 1944 T(K(x,y),z) = K(x,T(y,u)). [hyper(306,a,149,a,b,1937,a)]. given #1717 (H,wt=11): 1945 K(x,T(T(y,z),u)) = K(x,y). [hyper(306,a,1937,a(flip),b,1937,a),flip(a)]. given #1718 (H,wt=11): 1950 K(x,(y \ z) * y) = K(x,z). [hyper(64,a,1672,a,b,1937,a)]. given #1719 (H,wt=11): 1953 K(x,y * z) = K(x,z * y). [hyper(64,a,1670,a(flip),b,1937,a)]. given #1720 (H,wt=11): 1954 K(x,y / z) = K(x,z \ y). [hyper(64,a,1667,a(flip),b,1937,a),flip(a)]. given #1721 (H,wt=12): 1889 K(x,y) != z | K(y \ x,y) = z. [para(1885(a,1),1860(a,1))]. given #1722 (H,wt=12): 1894 x * K(x,y) != z | T(x,y) = z. [para(1888(a,1),882(a,1,2))]. given #1723 (H,wt=12): 1895 K(x,y) * x != z | T(x,y) = z. [para(1888(a,1),884(a,1,1))]. given #1724 (H,wt=12): 1906 K(x,y) != x \ z | T(x,y) = z. [para(1891(a,2),48(a,1))]. given #1725 (H,wt=12): 1912 T(x,y) != x * z | K(x,y) = z. [para(1892(a,2),44(a,1))]. given #1726 (H,wt=12): 1913 x \ T(x,y) != z | K(x,y) = z. [para(1892(a,2),286(a,1,2)),flip(b)]. given #1727 (H,wt=12): 1915 T(x,y) != z * x | K(x,y) = z. [para(1892(a,2),365(a,1))]. given #1728 (H,wt=12): 1926 T(x,y) != z | x * K(x,y) = z. [para(1893(a,2),373(a,1))]. given #1729 (H,wt=12): 1963 K(x,T(y,z)) != u | K(x,y) = u. [para(1940(a,1),1831(a,1))]. given #1730 (H,wt=13): 1899 K(x \ (x / y),x) = K(y \ 1,x). [hyper(306,a,1385,a,b,1891,a)]. given #1731 (H,wt=13): 1901 x * T(x \ 1,y) = K(x \ 1,y). [hyper(306,a,789,a(flip),b,1891,a)]. given #1732 (H,wt=13): 1908 K(x,y * K(z,u)) = x \ T(x,y). [para(1478(a,1),1891(a,2,2))]. given #1733 (H,wt=11): 1993 K(x,y * K(z,u)) = K(x,y). [hyper(306,a,1891,a,b,1908,a),flip(a)]. given #1734 (H,wt=11): 1996 K(x,K(y,z) * u) = K(x,u). [hyper(64,a,1953,a,b,1993,a)]. given #1735 (H,wt=11): 1997 K(x,K(y,z) \ u) = K(x,u). [hyper(64,a,1950,a(flip),b,1993,a),flip(a)]. given #1736 (H,wt=11): 1998 K(x,y / K(z,u)) = K(x,y). [para(12(a,1),1993(a,1,2)),flip(a)]. given #1737 (H,wt=13): 1910 K(x,y) * T(x,z) = T(T(x,z),y). [hyper(306,a,1817,a(flip),b,1892,a)]. given #1738 (H,wt=13): 1923 K(x / y,y) * (x / y) = y \ x. [hyper(489,a,1893,a),flip(a)]. given #1739 (H,wt=13): 1933 (x * K(x,y)) * (x \ 1) = K(x,y). [para(1892(a,1),1900(a,2,1)),flip(a)]. given #1740 (H,wt=13): 1938 K(x \ y,T(z,u)) = K(y / x,z). [hyper(1860,a,1937,a)]. given #1741 (H,wt=13): 1942 K(x,T(y,z)) = (K(x,y) \ u) \ u. [hyper(306,a,303,a,b,1937,a),flip(a)]. given #1742 (H,wt=13): 1943 K(x,T(y,z)) = (u * K(x,y)) / u. [hyper(306,a,270,a,b,1937,a),flip(a)]. given #1743 (H,wt=13): 1946 x * K(y,T(z,u)) = K(y,z) * x. [hyper(121,a,1937,a,b,240,a)]. given #1744 (H,wt=13): 1947 x * K(T(x,y),T(z,u)) = T(x,z). [hyper(121,a,1937,a,b,1896,a(flip))]. given #1745 (H,wt=13): 1949 K(x,T(y,z)) * u = u * K(x,y). [hyper(120,a,1937,a,b,270,a)]. given #1746 (H,wt=13): 1961 K(T(x,y),z \ u) = K(x,u / z). [hyper(64,a,1667,a(flip),b,1939,a)]. given #1747 (H,wt=13): 1965 T(K(x,y / z),u) = K(x,z \ y). [hyper(306,a,1667,a(flip),b,1944,a),flip(a)]. given #1748 (H,wt=13): 1966 K(x,T(y \ z,u)) = K(x,z / y). [para(108(a,1),1945(a,1,2,1))]. given #1749 (H,wt=13): 1988 K(x,y \ 1) \ 1 = K(y \ 1,x). [hyper(64,a,1837,a,b,1901,a)]. given #1750 (H,wt=13): 1992 K(x \ 1,y) \ 1 = K(y,x \ 1). [para(1901(a,1),1800(a,1,1))]. given #1751 (H,wt=13): 1995 T(K(x,y),z) = K(x,y * K(u,w)). [hyper(306,a,149,a,b,1993,a)]. given #1752 (H,wt=13): 2003 T(K(x,y),z) = K(x,K(u,w) \ y). [hyper(306,a,149,a,b,1997,a)]. given #1753 (H,wt=13): 2004 K(x,y) * T(x,z) = T(T(x,y),z). [hyper(306,a,23,a,b,1910,a),flip(a)]. given #1754 (H,wt=13): 2005 (x / y) * K(y \ x,y) = y \ x. [hyper(64,a,1834,a(flip),b,1923,a)]. given #1755 (H,wt=11): 2016 (x / y) * K(x,y) = y \ x. [para(1888(a,1),2005(a,1,2))]. given #1756 (H,wt=13): 2006 (x / y) \ (y \ x) = K(y \ x,y). [hyper(118,a,1923,a(flip),b,1834,a(flip))]. given #1757 (H,wt=13): 2007 K(x,y) \ (x \ K(x,y)) = x \ 1. [hyper(393,a,1933,a)]. given #1758 (H,wt=13): 2014 T(x,y) * K(x,z) = T(T(x,z),y). [hyper(373,a,2004,a)]. given #1759 (H,wt=13): 2017 (x / y) * K(x,y) = T(x,y) / y. [hyper(306,a,827,a,b,2016,a),flip(a)]. given #1760 (H,wt=13): 2019 (x \ 1) * K(x,y) = x \ K(x,y). [hyper(372,a,2007,a)]. given #1761 (H,wt=13): 2021 K(x,y) * (x / y) = T(x,y) / y. [hyper(358,a,2017,a)]. given #1762 (H,wt=13): 2022 K(x,y) * (x / y) = x / T(y,x). [hyper(306,a,855,a(flip),b,2021,a),flip(a)]. given #1763 (H,wt=14): 1890 K(x \ y,x) = a(z,u,z) \ K(y,x). [hyper(306,a,771,a,b,1888,a),flip(a)]. given #1764 (H,wt=14): 1956 K(x,T(y,z)) != u | T(K(x,y),w) = u. [para(1937(a,2),368(a,1))]. given #1765 (H,wt=14): 1958 K(T(x,y),T(z,u)) != w | K(x,z) = w. [para(1937(a,2),1831(a,1))]. given #1766 (H,wt=14): 1959 (x \ 1) * T(x,y) != z | K(x,y) = z. [para(1934(a,2),262(a,1,2)),flip(b)]. given #1767 (H,wt=14): 1974 K(x,y \ (z * y)) != u | K(x,z) = u. [para(22(a,1),1963(a,1,2))]. given #1768 (H,wt=12): 2025 K(x,y * x) != z | K(x,y) = z. [para(1801(a,1),1974(a,1))]. given #1769 (H,wt=12): 2026 K(x,x * y) != z | K(x,y) = z. [para(1782(a,1),2025(a,1))]. given #1770 (H,wt=12): 2027 K(x,y) != z | K(x,x \ y) = z. [para(1950(a,1),2025(a,1))]. given #1771 (H,wt=14): 1977 K(x,y \ z) != u | K(x,z / y) = u. [para(108(a,1),1963(a,1,2))]. given #1772 (H,wt=14): 1978 K(x,(y \ z) \ z) != u | K(x,y) = u. [para(107(a,1),1963(a,1,2))]. given #1773 (H,wt=14): 1979 K(x,y * z) != u | K(x,z * y) = u. [para(792(a,1),1963(a,1,2))]. given #1774 (H,wt=14): 1980 K(x,(y \ z) * y) != u | K(x,z) = u. [para(793(a,1),1963(a,1,2))]. given #1775 (H,wt=14): 1982 K(x,T(T(y,z),u)) != w | K(x,y) = w. [para(1937(a,2),1963(a,1))]. given #1776 (H,wt=14): 1994 K(x,y * K(z,u)) != w | K(x,y) = w. [para(1908(a,2),1913(a,1))]. given #1777 (H,wt=14): 2010 K(x,y / z) != u | K(x,z \ y) = u. [para(1961(a,1),1831(a,1))]. given #1778 (H,wt=14): 2013 K(x,K(y,z) \ u) != w | K(x,u) = w. [para(2003(a,1),179(a,1)),flip(b)]. given #1779 (H,wt=14): 2028 T(x,y) \ x != z | K(y,y \ x) = z. [para(1787(a,1),2027(a,1))]. given #1780 (H,wt=14): 2031 K(x,y) != z | K(x,y * K(u,w)) = z. [para(1996(a,1),1979(a,1))]. given #1781 (H,wt=15): 1931 K(x \ (x / y),x) = T(x,y \ 1) \ x. [hyper(306,a,1385,a,b,1897,a)]. given #1782 (H,wt=13): 2036 T(x,x \ (x / y)) = T(x,y \ 1). [hyper(1799,a,1931,a)]. given #1783 (H,wt=11): 2037 T(x,y \ 1) = T(x,x / y). [hyper(496,a,2036,a),flip(a)]. given #1784 (H,wt=11): 2039 T(x,y \ 1) = T(x,y \ x). [hyper(306,a,1498,a(flip),b,2037,a),flip(a)]. given #1785 (H,wt=11): 2040 T(x,(x / y) \ 1) = T(x,y). [hyper(306,a,893,a(flip),b,2037,a),flip(a)]. given #1786 (H,wt=11): 2041 T(x,y \ 1) = y * (x / y). [hyper(306,a,794,a(flip),b,2037,a),flip(a)]. given #1787 (H,wt=9): 2053 T(T(x,y),y \ 1) = x. [hyper(306,a,814,a(flip),b,2041,a),flip(a)]. given #1788 (H,wt=11): 2042 x \ T(y,x \ 1) = y / x. [hyper(118,a,2037,a,b,794,a(flip))]. given #1789 (H,wt=11): 2043 T(x,(y \ 1) \ x) = T(x,y). [hyper(1526,a,2039,a),flip(a)]. given #1790 (H,wt=11): 2046 T(x,y \ 1) = x * K(y,x). [hyper(306,a,1727,a(flip),b,2039,a),flip(a)]. given #1791 (H,wt=9): 2072 K(x,y \ 1) = K(y,x). [hyper(1912,a,2046,a)]. given #1792 (H,wt=9): 2074 K(x \ 1,y) = K(y,x). [hyper(1978,a,2072,a),flip(a)]. given #1793 (H,wt=11): 2049 T(x * y,y \ 1) = y * x. [hyper(1052,a,2041,a),flip(a)]. given #1794 (H,wt=11): 2051 T(x,y \ 1) = (y * x) / y. [hyper(306,a,850,a,b,2041,a),flip(a)]. given #1795 (H,wt=11): 2054 T(x,y \ 1) * y = y * x. [hyper(120,a,2041,a,b,850,a)]. given #1796 (H,wt=11): 2061 T(x,y \ 1) \ y = y / x. [para(2041(a,2),851(a,1,1))]. given #1797 (H,wt=11): 2063 T(T(x,y \ 1),T(y,z)) = x. [hyper(1865,a,2053,a),flip(a)]. given #1798 (H,wt=11): 2066 T(x \ y,x \ 1) = y / x. [para(108(a,1),2053(a,1,1))]. given #1799 (H,wt=11): 2067 T(x \ y,y \ 1) = y / x. [para(400(a,1),2053(a,1,1))]. given #1800 (H,wt=11): 2071 T(x \ 1,y) = T(x,y) \ 1. [para(2043(a,1),1611(a,1,1)),flip(a)]. given #1801 (H,wt=11): 2075 K(x,y \ 1) = K(x,y \ x). [hyper(306,a,1909,a,b,2072,a),flip(a)]. given #1802 (H,wt=11): 2079 T(x \ 1,y) = x \ K(y,x). [hyper(118,a,2074,a(flip),b,1901,a),flip(a)]. given #1803 (H,wt=12): 2062 T(T(x,y),y \ 1) != z | x = z. [para(2041(a,2),857(a,1))]. given #1804 (H,wt=12): 2077 K(x \ 1,y) != z | K(y,x) = z. [para(2072(a,1),1872(a,1))]. given #1805 (H,wt=12): 2080 K(x,y \ 1) != z | K(y,x) = z. [para(2074(a,1),1843(a,1))]. given #1806 (H,wt=12): 2106 K(x,y) != z | K(y,x \ 1) = z. [para(326(a,1),2077(a,1,1))]. given #1807 (H,wt=12): 2107 K(x,y) != z | K(y \ 1,x) = z. [para(326(a,1),2080(a,1,2))]. given #1808 (H,wt=13): 2038 T(x,x / (y * x)) = T(x,y \ 1). [para(879(a,2),2036(a,1,2))]. given #1809 (H,wt=13): 2044 T(x,x * (y \ 1)) = T(x,y \ x). [hyper(513,a,2039,a)]. given #1810 (H,wt=13): 2045 T(x,x \ (y \ x)) = T(x,y \ 1). [hyper(306,a,404,a,b,2039,a)]. given #1811 (H,wt=13): 2050 T(x * (y \ 1),y) = (y \ 1) * x. [hyper(928,a,2041,a),flip(a)]. given #1812 (H,wt=13): 2056 (x \ 1) \ T(y,x) = y / (x \ 1). [hyper(118,a,988,a(flip),b,2041,a(flip))]. given #1813 (H,wt=13): 2060 T(x * (y / x),(x \ 1) \ y) = y. [para(2041(a,1),866(a,1,1))]. given #1814 (H,wt=13): 2064 T((x / y) \ 1,y) = (y \ x) \ 1. [hyper(1160,a,2053,a),flip(a)]. given #1815 (H,wt=13): 2065 T(x,y) * (y \ 1) = (y \ 1) * x. [hyper(121,a,2053,a(flip),b,22,a(flip)),flip(a)]. given #1816 (H,wt=13): 2076 K(x,y) = (y \ 1) * T(y,x \ 1). [hyper(64,a,1932,a(flip),b,2072,a),flip(a)]. given #1817 (H,wt=13): 2078 (x \ K(x,y)) * y = y * (x \ 1). [para(2072(a,1),1875(a,1,1,2))]. given #1818 (H,wt=13): 2102 x / (y \ K(x,y)) = (y \ 1) \ x. [hyper(196,a,2079,a(flip),b,403,a(flip))]. given #1819 (H,wt=13): 2110 T(x,x * (1 / y)) = T(x,y \ x). [hyper(1549,a,2044,a)]. given #1820 (H,wt=14): 2059 x \ T(y,x \ 1) != z | y / x = z. [para(2041(a,2),286(a,1,2)),flip(b)]. given #1821 (H,wt=14): 2070 x * (y / x) != z | T(y,x \ 1) = z. [para(2042(a,1),262(a,1,2)),flip(b)]. given #1822 (H,wt=14): 2073 T(x \ y,x \ 1) != z | y / x = z. [para(2046(a,2),1762(a,1))]. given #1823 (H,wt=14): 2091 (x * y) / x != z | T(y,x \ 1) = z. [para(2054(a,1),259(a,1,1)),flip(b)]. given #1824 (H,wt=14): 2094 T(x,T(y,z)) != u | T(u,y \ 1) = x. [para(2063(a,1),50(a,1)),flip(a)]. given #1825 (H,wt=14): 2103 T(x \ 1,y) != x \ z | K(y,x) = z. [para(2079(a,2),48(a,1))]. given #1826 (H,wt=14): 2105 T(x * y,y \ 1) != z | y * x = z. [para(792(a,1),2062(a,1,1))]. given #1827 (H,wt=14): 2115 x * y != z | T(y * x,x \ 1) = z. [para(11(a,1),2070(a,1,2))]. given #1828 (H,wt=14): 2117 x / y != z | T(y \ x,y \ 1) = z. [para(10(a,1),2091(a,1,1))]. given #1829 (H,wt=15): 1936 T(x,y * T(z,u)) = K(x,z * y) * x. [hyper(64,a,1704,a(flip),b,1922,a)]. given #1830 (H,wt=13): 2118 K(x,y * T(z,u)) = K(x,z * y). [hyper(1915,a,1936,a)]. given #1831 (H,wt=13): 2119 K(x,T(y,z) * u) = K(x,y * u). [hyper(1979,a,2118,a)]. given #1832 (H,wt=13): 2121 K(x,T(y,z) * u) = K(x,u * y). [para(866(a,1),2118(a,1,2,2)),flip(a)]. given #1833 (H,wt=15): 1952 K(x,L(T(y,z),u,w)) = K(x,L(y,u,w)). [hyper(64,a,1681,a(flip),b,1937,a)]. given #1834 (H,wt=15): 1969 K(x,y / z) * u = u * K(x,z \ y). [hyper(120,a,1954,a,b,270,a)]. given #1835 (H,wt=15): 2001 K(x,K(y,z) \ u) = K(x,K(w,v5) * u). [hyper(306,a,1996,a,b,1997,a),flip(a)]. given #1836 (H,wt=15): 2002 K(x,K(y,z) \ u) = K(x,u * K(w,v5)). [hyper(306,a,1993,a,b,1997,a),flip(a)]. given #1837 (H,wt=15): 2012 T(K(x,y),z) = K(x,T(1 / y,u) \ 1). [para(1879(a,2),1995(a,2,2))]. given #1838 (H,wt=15): 2018 (x \ y) \ K(x \ y,x) = (y / x) \ 1. [hyper(118,a,2006,a(flip),b,1585,a)]. given #1839 (H,wt=13): 2129 (x \ y) \ K(y,x) = (y / x) \ 1. [para(1888(a,1),2018(a,1,2))]. given #1840 (H,wt=15): 2020 K(x,y) * T(x,z) = T(x,y) * K(x,z). [hyper(306,a,1910,a,b,2014,a)]. given #1841 (H,wt=15): 2047 (x \ 1) * T(y,x \ y) = y * (x \ 1). [hyper(121,a,2039,a(flip),b,22,a(flip))]. given #1842 (H,wt=14): 2130 L(x / y,y,y \ 1) = x * (y \ 1). [hyper(1171,a,2047,a)]. given #1843 (H,wt=14): 2131 (x * y) * (y \ 1) = L(x,y,y \ 1). [para(11(a,1),2130(a,1,1)),flip(a)]. given #1844 (H,wt=13): 2134 R(x,y,y \ 1) = L(x,y,y \ 1). [hyper(624,a,2131,a)]. given #1845 (H,wt=14): 2135 (x * (y \ 1)) * y = L(x,y \ 1,y). [hyper(36,a,1627,a(flip),b,2131,a),flip(a)]. given #1846 (H,wt=15): 2052 T(T(x * y,z),y \ 1) = T(y * x,z). [hyper(306,a,963,a(flip),b,2041,a),flip(a)]. given #1847 (H,wt=15): 2055 (x \ 1) * (x * (y / x)) = y * (x \ 1). [hyper(121,a,2041,a(flip),b,22,a(flip))]. given #1848 (H,wt=15): 2058 (x / (y \ 1)) / y = y \ ((y \ 1) \ x). [hyper(118,a,108,a(flip),b,2041,a(flip)),flip(a)]. given #1849 (H,wt=15): 2068 T(T(x,y \ 1),z) * y = y * T(x,z). [para(2053(a,1),536(a,1,2,1)),flip(a)]. given #1850 (H,wt=15): 2082 (x \ 1) * (x * y) = (y * x) * (x \ 1). [hyper(121,a,2049,a(flip),b,22,a(flip))]. given #1851 (H,wt=15): 2083 (x * y) / (x \ 1) = (x \ 1) \ (y * x). [hyper(119,a,2049,a(flip),b,793,a(flip))]. given #1852 (H,wt=15): 2086 (x * (y \ 1)) * y = y * ((y \ 1) * x). [para(2049(a,1),991(a,1,2)),flip(a)]. given #1853 (H,wt=15): 2087 (x \ (y \ 1)) * y = y * ((y \ 1) / x). [hyper(120,a,400,a(flip),b,2051,a(flip))]. given #1854 (H,wt=15): 2088 ((x \ 1) \ y) * x = x * (y / (x \ 1)). [hyper(120,a,108,a(flip),b,2051,a(flip))]. given #1855 (H,wt=15): 2108 x * (y * ((x \ y) / y)) = T(y,x \ 1). [hyper(1433,a,2038,a)]. given #1856 (H,wt=15): 2109 x \ T(y,x \ 1) = y * ((x \ y) / y). [hyper(118,a,2038,a(flip),b,1432,a)]. given #1857 (H,wt=15): 2114 K(x * (1 / y),x) = T(x,y \ x) \ x. [para(2110(a,1),1787(a,2,1))]. given #1858 (H,wt=13): 2147 K(x * (1 / y),x) = K(y \ x,x). [hyper(306,a,1787,a,b,2114,a),flip(a)]. given #1859 (H,wt=13): 2148 K(x * (y \ 1),x) = K(y \ x,x). [hyper(64,a,1864,a(flip),b,2147,a)]. given #1860 (H,wt=15): 2120 K(x,(y / z) * u) = K(x,u * (z \ y)). [para(108(a,1),2118(a,1,2,2)),flip(a)]. given #1861 (H,wt=15): 2122 K(x,(y / z) * u) = K(x,(z \ y) * u). [para(108(a,1),2119(a,1,2,1)),flip(a)]. given #1862 (H,wt=15): 2128 T(K(x,y),z) = K(x,T(y \ 1,u) \ 1). [para(325(a,1),2012(a,2,2,1,1))]. given #1863 (H,wt=15): 2137 x \ L(x,y,y \ 1) = a(x,y,y \ 1). [para(2131(a,1),213(a,1,2))]. given #1864 (H,wt=15): 2139 x \ L(x,y \ 1,y) = a(x,1 / y,y). [para(2135(a,1),1108(a,1,2))]. given #1865 (H,wt=15): 2152 a(x \ 1,x,y) \ 1 = a(y,x,x \ 1). [hyper(64,a,1228,a,b,2137,a)]. given #1866 (H,wt=15): 2153 L(x,y,y \ 1) / x = a(x,y,y \ 1). [hyper(64,a,418,a,b,2137,a)]. given #1867 (H,wt=15): 2156 x \ L(x,y \ 1,y) = a(x,y \ 1,y). [hyper(306,a,1111,a(flip),b,2139,a),flip(a)]. given #1868 (H,wt=15): 2158 a(x,x \ 1,y) \ 1 = a(y,x \ 1,x). [hyper(64,a,1227,a,b,2156,a)]. given #1869 (H,wt=16): 1907 x \ y != z * K(z,u) | y / T(z,u) = x. [para(1891(a,2),319(a,2,2))]. given #1870 (H,wt=16): 1914 x \ T(x,y) != z * u | z \ K(x,y) = u. [para(1892(a,2),312(a,1,2))]. given #1871 (H,wt=16): 1921 T(T(x,y),z) != u | K(x,z) * T(x,y) = u. [para(1892(a,2),1822(a,1))]. given #1872 (H,wt=16): 1957 K(x,T(y,z)) * u != w | u * K(x,y) = w. [para(1937(a,2),373(a,1,1))]. given #1873 (H,wt=16): 1999 T(K(x,y),z) != u | K(x,y * K(w,v5)) = u. [para(1993(a,1),361(a,1,1))]. given #1874 (H,wt=16): 2030 K(x,T(y * z,u)) != w | K(x,z * y) = w. [para(1937(a,2),1979(a,1))]. given #1875 (H,wt=16): 2032 K(x,T(y,z)) != u | K(x,(w \ y) * w) = u. [para(791(a,1),1982(a,1,2,1))]. given #1876 (H,wt=16): 2034 K(x,T(y / z,u)) != w | K(x,z \ y) = w. [para(1937(a,2),2010(a,1))]. given #1877 (H,wt=16): 2123 K(x,T(y,z) * u) != w | K(x,u * y) = w. [para(2119(a,2),1979(a,1))]. given #1878 (H,wt=16): 2136 L(x,y,y \ 1) \ 1 = y * ((x * y) \ 1). [para(2131(a,1),318(a,1,1))]. given #1879 (H,wt=16): 2159 K(x,T(y,z)) != u | K(x,(y \ w) \ w) = u. [para(75(a,1),2034(a,1,2,1))]. given #1880 (H,wt=16): 2160 x * (y * ((x * y) \ 1)) = a(y \ 1,y,x). [hyper(121,a,2136,a(flip),b,1202,a(flip))]. given #1881 (H,wt=17): 1740 T(x,L(y * K(z,y),u,w)) = T(x,L(y,u,w)). [para(1731(a,1),1499(a,1,2,1)),flip(a)]. given #1882 (H,wt=17): 1806 (x * y) / ((x * y) / x) = x * (T(x,y) \ x). [para(1787(a,1),1753(a,2,2))]. given #1883 (H,wt=17): 1828 (x \ 1) * (y \ K(z,y)) = (T(y,z) * x) \ 1. [para(1803(a,1),515(a,1,2))]. given #1884 (H,wt=17): 1829 (x \ (y \ K(z,y))) \ 1 = T(y,z) / (x \ 1). [para(1803(a,1),568(a,1,1,2))]. given #1885 (H,wt=17): 1904 (K(x,y) \ z) * K(z,u) = T(K(x,y) \ z,u). [hyper(121,a,1854,a(flip),b,1891,a(flip))]. given #1886 (H,wt=17): 1962 K(L(T(x,y),z,u),w) = K(L(x,z,u),T(w,v5)). [para(25(a,2),1940(a,1,1))]. given #1887 (H,wt=17): 1983 (x * T(x \ y,z)) / y = K((x / y) \ 1,z). [hyper(64,a,1710,a(flip),b,1899,a)]. given #1888 (H,wt=17): 1984 x \ (y * T(y \ x,z)) = K((x \ y) \ 1,z). [hyper(64,a,1701,a(flip),b,1899,a)]. given #1889 (H,wt=17): 1985 x * T(x \ y,z) = y * K((y \ x) \ 1,z). [hyper(121,a,1899,a(flip),b,1701,a(flip)),flip(a)]. given #1890 (H,wt=17): 1986 K((x / y) \ 1,z) * y = x * T(x \ y,z). [hyper(120,a,1899,a(flip),b,1710,a(flip))]. given #1891 (H,wt=17): 2000 K(x,y) * T(K(z,u) * y,x) = K(z,u) * y. [hyper(120,a,1996,a(flip),b,1788,a(flip))]. given #1892 (H,wt=17): 2011 K(x,T(y \ 1,z) \ 1) = 1 / T(K(y,x),u). [hyper(196,a,1878,a,b,1988,a),flip(a)]. given #1893 (H,wt=13): 2174 T(K(x,y),z) = 1 / T(K(y,x),u). [hyper(64,a,2128,a,b,2011,a)]. given #1894 (H,wt=9): 2175 1 / K(x,y) = K(y,x). [hyper(1400,a,2174,a)]. given #1895 (H,wt=9): 2176 K(x,y) * K(y,x) = 1. [hyper(917,a,2174,a(flip))]. given #1896 (H,wt=9): 2177 K(x,y) \ 1 = K(y,x). [hyper(328,a,2175,a)]. given #1897 (H,wt=12): 2178 K(x,y) \ 1 != z | K(y,x) = z. [para(2175(a,1),271(a,1,1)),flip(b)]. given #1898 (H,wt=12): 2179 K(x,y) != z | K(y,x) \ 1 = z. [para(2175(a,1),328(a,1))]. given #1899 (H,wt=12): 2182 K(x,y) != z \ 1 | K(y,x) = z. [para(2176(a,1),356(a,1,2)),flip(a)]. given #1900 (H,wt=15): 2180 (x * K(y,z)) \ 1 = K(z,y) * (x \ 1). [para(2175(a,1),111(a,1,1)),flip(a)]. given #1901 (H,wt=17): 2048 T(x,y) / ((x / y) \ 1) = ((x / y) \ 1) \ x. [hyper(119,a,2040,a(flip),b,793,a(flip))]. given #1902 (H,wt=17): 2069 R(T(x,y \ 1),z,u) * y = y * R(x,z,u). [para(2053(a,1),746(a,1,2,1)),flip(a)]. given #1903 (H,wt=17): 2098 T(x \ 1,y) * (z \ 1) = (z * T(x,y)) \ 1. [para(2071(a,2),515(a,1,1))]. given #1904 (H,wt=17): 2111 T((x * (y \ 1)) \ y,y) = ((y \ 1) * x) \ y. [para(2050(a,1),410(a,2,1))]. given #1905 (H,wt=17): 2142 (x * y) * (y \ 1) != z | L(x,y,y \ 1) = z. [para(2082(a,1),724(a,1))]. given #1906 (H,wt=17): 2144 (x * (y \ 1)) * y != z | L(x,y \ 1,y) = z. [para(2086(a,2),601(a,1))]. given #1907 (H,wt=18): 1745 x / y != (z * K(u,z)) * u | (u * z) * y = x. [para(1726(a,1),308(a,2,1))]. given #1908 (H,wt=18): 1751 x \ y != z * K(u,z) | x * ((u * z) / u) = y. [para(1730(a,2),313(a,2,2))]. given #1909 (H,wt=18): 1752 x * ((y * z) / y) != u | x * (z * K(y,z)) = u. [para(1741(a,2),670(a,1,2))]. given #1910 (H,wt=18): 1789 L(K(x,y),T(y,x),z) = (z * T(y,x)) \ (z * y). [para(1784(a,1),18(a,2,2,2))]. given #1911 (H,wt=18): 1804 R(T(x,y),z,u) \ R(x,z,u) = K(y,R(x,z,u)). [para(27(a,2),1787(a,2,1)),flip(a)]. given #1912 (H,wt=18): 1836 K(x / y,z) * u != w | u * K(y \ x,z) = w. [para(1820(a,2),373(a,1,1))]. given #1913 (H,wt=18): 1880 K(T(1 / x,y) \ 1,z) != u | T(K(x,z),w) = u. [para(1877(a,1),496(a,1))]. given #1914 (H,wt=18): 1881 K(x * (y \ z),u) != w | K(x * (z / y),u) = w. [para(108(a,1),1869(a,1,1,2))]. given #1915 (H,wt=18): 1911 ((x * y) * K(y,z)) / T(y,z) = R(x,y,K(y,z)). [hyper(196,a,1892,a,b,183,a)]. given #1916 (H,wt=18): 1917 (x * K(y,z)) \ (x * T(y,z)) = L(y,K(y,z),x). [para(1892(a,2),364(a,1,2,2))]. given #1917 (H,wt=18): 1918 T(x,y) * L(z,x,K(x,y)) = K(x,y) * (x * z). [para(1892(a,2),599(a,1,1))]. given #1918 (H,wt=18): 1924 K(L(x,y,z),u) * L(x,y,z) = L(T(x,u),y,z). [hyper(64,a,25,a,b,1893,a),flip(a)]. given #1919 (H,wt=16): 2188 L(T(x,y),z,u) != w | T(L(x,z,u),y) = w. [para(1924(a,1),1895(a,1))]. given #1920 (H,wt=18): 1925 R(T(x,y),z,u) / R(x,z,u) = K(R(x,z,u),y). [hyper(119,a,27,a,b,1893,a(flip))]. given #1921 (H,wt=18): 1972 K(x,y / z) * u != w | u * K(x,z \ y) = w. [para(1954(a,2),373(a,1,1))]. given #1922 (H,wt=18): 1975 K(x,L(T(y,z),u,w)) != v5 | K(x,L(y,u,w)) = v5. [para(25(a,2),1963(a,1,2))]. given #1923 (H,wt=18): 1976 K(x,R(T(y,z),u,w)) != v5 | K(x,R(y,u,w)) = v5. [para(27(a,2),1963(a,1,2))]. given #1924 (H,wt=18): 2033 K(x,y \ ((z \ 1) \ 1)) != u | K(x,y \ z) = u. [para(1338(a,1),1994(a,1,2))]. given #1925 (H,wt=18): 2035 K(x,y * K(z,u)) != w | K(x,y * K(v5,v6)) = w. [para(1993(a,2),2031(a,1))]. given #1926 (H,wt=18): 2084 T(x * y,z) != T(u,x \ 1) | T(y * x,z) = u. [para(2049(a,1),140(a,1,1))]. given #1927 (H,wt=18): 2085 (x * y) / (x \ 1) != z | (x \ 1) \ (y * x) = z. [para(2049(a,1),839(a,1,1))]. given #1928 (H,wt=18): 2096 K(x * (y / z),u) != w | K(x * (z \ y),u) = w. [para(2066(a,1),1869(a,1,1,2))]. given #1929 (H,wt=18): 2099 L(T(x \ 1,y),T(x,y),z) \ z = T(x,y) * z. [para(2071(a,2),888(a,1,1,1))]. given #1930 (H,wt=18): 2104 (x * y) \ (x * K(z,y)) = L(T(y \ 1,z),y,x). [para(2079(a,2),95(a,1,1)),flip(a)]. given #1931 (H,wt=17): 2189 (x * y) * T((x * y) \ x,z) = x * K(z,y). [hyper(121,a,468,a,b,2104,a)]. given #1932 (H,wt=17): 2190 (x * y) * T(x \ (x / y),z) = x * K(z,y). [para(320(a,1),2189(a,1,2,1))]. given #1933 (H,wt=18): 2113 T(x,(y \ z) \ 1) != u | T(x,(z / y) \ 1) = u. [para(2064(a,1),1517(a,1,2))]. given #1934 (H,wt=18): 2116 x * T(y,x \ 1) != z | T(x * y,x \ 1) = z. [para(2051(a,2),2070(a,1,2))]. given #1935 (H,wt=18): 2126 K(x,y / z) * u != u * w | K(x,z \ y) = w. [para(1969(a,2),44(a,1))]. given #1936 (H,wt=18): 2127 K(x,K(y,z) \ u) != w | K(x,K(v5,v6) * u) = w. [para(2002(a,2),1979(a,1))]. given #1937 (H,wt=18): 2138 x \ L(x,y,y \ 1) != z | a(x,y,y \ 1) = z. [para(2131(a,1),1364(a,1,2))]. given #1938 (H,wt=18): 2140 (x * (y \ 1)) * y != z | y * ((y \ 1) * x) = z. [para(2135(a,2),459(a,1))]. given #1939 (H,wt=18): 2149 K(x,(y / z) * u) != w | K(x,(z \ y) * u) = w. [para(2120(a,2),1979(a,1))]. given #1940 (H,wt=18): 2150 K(x,(y / z) * u) != w | K(x,u * (z \ y)) = w. [para(2122(a,2),1979(a,1))]. given #1941 (H,wt=18): 2151 K(x,T(y \ 1,z) \ 1) != u | T(K(x,y),w) = u. [para(2128(a,1),496(a,1))]. given #1942 (H,wt=18): 2154 a(x,y,y \ 1) != x \ z | L(x,y,y \ 1) = z. [para(2137(a,1),48(a,1))]. given #1943 (H,wt=18): 2157 a(x,y,y \ 1) != z | x \ L(x,y,y \ 1) = z. [para(2153(a,1),493(a,1))]. given #1944 (H,wt=18): 2181 K(x,y) * (z \ 1) != u | (z * K(y,x)) \ 1 = u. [para(2175(a,1),201(a,1,1))]. given #1945 (H,wt=18): 2183 x * T(x \ 1,y) != z | K(y,x \ 1) \ 1 = z. [para(1901(a,2),2179(a,1))]. given #1946 (H,wt=18): 2191 L(x,y,y \ 1) / x != z | a(x,y,y \ 1) = z. [para(418(a,2),2138(a,1))]. given #1947 (H,wt=18): 2192 a(x \ 1,x,y) \ 1 != z | a(y,x,x \ 1) = z. [para(1228(a,2),2138(a,1))]. given #1948 (H,wt=19): 1774 x * R(y,z,y) != u * x | y * K(y * x,y) = u. [para(1759(a,1),232(a,1,2)),flip(b)]. given #1949 (H,wt=19): 1855 K(x,y) * (y * (x * K(z,u))) = (x * K(z,u)) * y. [hyper(120,a,1850,a(flip),b,376,a(flip))]. given #1950 (H,wt=19): 1903 (T(x,y) * z) * K(x * z,u) = T(T(x,y) * z,u). [hyper(121,a,1866,a(flip),b,1891,a(flip))]. given #1951 (H,wt=19): 1916 (x * y) * z != x * T(y,u) | L(K(y,u),y,x) = z. [para(1892(a,2),595(a,2,2))]. given #1952 (H,wt=19): 1987 (x * y) * K(((x * y) \ x) \ 1,z) = x * T(y,z). [para(1899(a,1),1702(a,1,2))]. given #1953 (H,wt=19): 1989 x * (y * T(y \ (x \ 1),z)) = K((x * y) \ 1,z). [hyper(64,a,1282,a(flip),b,1901,a)]. given #1954 (H,wt=19): 1990 K(x \ 1,y) * (x \ z) = z * T(z \ (x \ z),y). [hyper(120,a,1901,a(flip),b,1610,a)]. given #1955 (H,wt=19): 1991 (x * y) * T((x * y) \ x,z) = x * K(y \ 1,z). [para(1901(a,1),1115(a,2,2))]. given #1956 (H,wt=19): 2057 x \ T(T(T(y,x \ 1),z),u) = T(T(y,z),u) / x. [hyper(118,a,109,a(flip),b,2041,a(flip))]. given #1957 (H,wt=19): 2092 T(T(T(x,y \ 1),z),u) \ y = y / T(T(x,z),u). [para(109(a,1),2061(a,1,1))]. given #1958 (H,wt=19): 2141 x / T(T(y,x \ 1),z) = x * (x / (x * T(y,z))). [para(2068(a,1),880(a,1,2,2)),flip(a)]. given #1959 (H,wt=19): 2145 x * ((x * y) * (y / (x * y))) = T(x * y,x \ 1). [para(9(a,1),2108(a,1,2,2,1))]. given #1960 (H,wt=19): 2167 (x * y) * K(((x * y) \ y) \ 1,z) = T(x,z) * y. [hyper(1119,a,1985,a),flip(a)]. given #1961 (H,wt=19): 2170 x * (y * K((y \ (x \ 1)) \ 1,z)) = T(x * y,z). [hyper(121,a,1985,a(flip),b,1291,a(flip))]. given #1962 (H,wt=19): 2172 (x * y) * T((x * y) \ y,z) = K(x \ 1,z) * y. [para(11(a,1),1986(a,1,1,1,1)),flip(a)]. given #1963 (H,wt=19): 2195 x * (x / (x * T(y \ x,z))) = x / T(x / y,z). [para(2067(a,1),2141(a,1,2,1)),flip(a)]. given #1964 (H,wt=19): 2196 ((x \ 1) \ y) * (x \ 1) = (x * y) * (y / (x * y)). [hyper(35,a,1302,a,b,2145,a)]. given #1965 (H,wt=19): 2198 x * (y * T(y \ (x \ y),z)) = K(x \ 1,z) * y. [hyper(64,a,1282,a(flip),b,2172,a)]. given #1966 (H,wt=19): 2200 ((x \ 1) * y) * (y / ((x \ 1) * y)) = (x \ y) * x. [hyper(64,a,1355,a(flip),b,2196,a),flip(a)]. given #1967 (H,wt=18): 2202 ((x \ 1) * y) * R(x,x \ 1,y) = (x \ y) * x. [para(212(a,2),2200(a,1,2))]. given #1968 (H,wt=19): 2201 x * (K(x \ 1,y) * (x \ z)) = K(x \ 1,y) * z. [para(1990(a,2),2198(a,1,2))]. given #1969 (H,wt=19): 2203 K(x \ 1,y) * (x * z) = x * (K(x \ 1,y) * z). [para(9(a,1),2201(a,1,2,2)),flip(a)]. given #1970 (H,wt=10): 2205 L(x,y,K(x \ 1,z)) = x. [hyper(36,a,1642,a,b,2203,a(flip))]. given #1971 (H,wt=8): 2208 L(x,y,K(z,x)) = x. [para(2074(a,1),2205(a,1,3))]. given #1972 (H,wt=8): 2209 R(x,y,K(z,x)) = x. [hyper(64,a,1647,a,b,2208,a)]. given #1973 (H,wt=8): 2215 L(x,y,K(x,z)) = x. [para(1930(a,1),2208(a,1,3))]. given #1974 (H,wt=10): 2206 R(x,y,K(x \ 1,z)) = x. [hyper(64,a,1647,a,b,2205,a)]. given #1975 (H,wt=12): 2207 L(x \ 1,y,K(x,z)) = x \ 1. [para(326(a,1),2205(a,1,3,1))]. given #1976 (H,wt=12): 2218 L(T(x,y),z,K(x,u)) = T(x,y). [para(2215(a,1),25(a,2,1))]. given #1977 (H,wt=14): 2211 L(L(x,y,z),u,K(w,x)) = L(x,y,z). [para(2208(a,1),30(a,1,1)),flip(a)]. given #1978 (H,wt=14): 2221 R(T(x,y),z,K(x \ 1,u)) = T(x,y). [para(2206(a,1),27(a,2,1))]. given #1979 (H,wt=15): 2210 (K(x,y) * z) * y = K(x,y) * (z * y). [hyper(121,a,2208,a(flip),b,18,a(flip))]. given #1980 (H,wt=10): 2225 R(K(x,y),z,y) = K(x,y). [hyper(620,a,2210,a)]. given #1981 (H,wt=15): 2212 K(x,y) * (y * z) = y * (K(x,y) * z). [para(2208(a,1),1642(a,1,1)),flip(a)]. given #1982 (H,wt=10): 2226 L(K(x,y),z,y) = K(x,y). [hyper(36,a,1306,a,b,2212,a)]. given #1983 (H,wt=15): 2213 K(x,y) * (y * z) = y * (z * K(x,y)). [para(2208(a,1),1643(a,1,1)),flip(a)]. given #1984 (H,wt=15): 2214 (x * y) * K(z,x) = x * (y * K(z,x)). [para(2208(a,1),1645(a,1,1)),flip(a)]. given #1985 (H,wt=15): 2217 (K(x,y) * z) * x = K(x,y) * (z * x). [hyper(121,a,2215,a(flip),b,18,a(flip))]. given #1986 (H,wt=10): 2232 R(K(x,y),z,x) = K(x,y). [hyper(620,a,2217,a)]. given #1987 (H,wt=15): 2219 K(x,y) * (x * z) = x * (K(x,y) * z). [para(2215(a,1),1642(a,1,1)),flip(a)]. given #1988 (H,wt=15): 2220 K(x,y) * (x * z) = x * (z * K(x,y)). [para(2215(a,1),1643(a,1,1)),flip(a)]. given #1989 (H,wt=15): 2231 x \ T(x * y,x) = y * K(x * y,x). [hyper(118,a,1893,a,b,2213,a(flip))]. given #1990 (H,wt=15): 2235 x * (K(x,y) * (x \ z)) = K(x,y) * z. [hyper(314,a,2219,a),flip(a)]. given #1991 (H,wt=16): 2223 L(T(x \ 1,y),z,K(u,x)) = T(x \ 1,y). [para(2074(a,1),2218(a,1,3))]. given #1992 (H,wt=18): 2224 R(T(x,y * K(z,u)),w,K(x \ 1,v5)) = T(x,y). [hyper(306,a,1478,a(flip),b,2221,a),flip(a)]. given #1993 (H,wt=18): 2230 K(x,y) * (y * z) != u | y * (z * K(x,y)) = u. [para(2212(a,2),670(a,1))]. given #1994 (H,wt=18): 2234 K(x,y) * (z * x) != u | (K(x,y) * z) * x = u. [para(2232(a,1),280(a,1,1))]. given #1995 (H,wt=18): 2236 K(x,y) * (x * z) != u | x * (z * K(x,y)) = u. [para(2219(a,2),670(a,1))]. given #1996 (H,wt=19): 2216 (T(x,y) * z) * K(u,x) = T(x,y) * (z * K(u,x)). [para(2209(a,1),526(a,1,1,1)),flip(a)]. given #1997 (H,wt=19): 2237 (x * K(y \ 1,z)) \ ((x * y) * K(y \ 1,z)) = y. [hyper(1436,a,2224,a(flip))]. given #1998 (H,wt=19): 2238 T(x,y) * (z * K(x * z,x)) = T(T(x,y) * z,x). [hyper(64,a,1903,a(flip),b,2216,a),flip(a)]. given #1999 (H,wt=19): 2239 (x * K(y \ 1,z)) * y = (x * y) * K(y \ 1,z). [hyper(135,a,2237,a)]. given #2000 (H,wt=19): 2241 T(x,y) * (x \ T(x * z,x)) = T(T(x,y) * z,x). [para(2231(a,2),2238(a,1,2))]. given #2001 (H,wt=20): 1739 ((x * K(y * z,x)) * y) * z = (y * z) * R(x,y,z). [para(1731(a,1),743(a,1,2,1)),flip(a)]. given #2002 (H,wt=20): 1793 L(x,T(y,z),K(z,y)) * y = K(z,y) * (x * T(y,z)). [para(1784(a,1),1643(a,1,2))]. given #2003 (H,wt=20): 1874 K(x,((y \ 1) * (z \ 1)) \ 1) != u | K(x,z * y) = u. [para(515(a,2),1872(a,1,2,1))]. given #2004 (H,wt=20): 1883 R(x,y,z) * K(u,R(x,y,z)) = R(x * K(u,x),y,z). [hyper(36,a,1729,a,b,1738,a)]. given #2005 (H,wt=20): 1919 L(x,x \ y,K(y,z)) \ T(y,z) = (x \ y) * K(y,z). [para(1892(a,2),1646(a,1,2))]. given #2006 (H,wt=20): 1964 (K(x,T(y,z)) * u) * w = (u * w) * R(K(x,y),u,w). [para(1941(a,1),743(a,1,2,1)),flip(a)]. given #2007 (H,wt=18): 2244 (x * y) * R(K(z,u),x,y) = (x * K(z,u)) * y. [para(1668(a,1),1964(a,1,1)),flip(a)]. given #2008 (H,wt=15): 2246 (x * K(y,z)) * z = (x * z) * K(y,z). [para(2225(a,1),2244(a,1,2)),flip(a)]. given #2009 (H,wt=15): 2247 (x * K(y,z)) * y = (x * y) * K(y,z). [para(2232(a,1),2244(a,1,2)),flip(a)]. given #2010 (H,wt=18): 2248 (x * K(y,z)) * z != u * K(y,z) | x * z = u. [para(2246(a,2),45(a,1))]. given #2011 (H,wt=20): 1971 K(x,((y * z) * u) / (y * (z * u))) = K(x,a(y,z,u)). [para(14(a,2),1954(a,2,2))]. given #2012 (H,wt=20): 2015 (x / y) \ (y \ x) != z * u | z \ K(y \ x,y) = u. [para(2005(a,1),312(a,1,2))]. given #2013 (H,wt=20): 2024 K(L(T(x,y),z,u),T(w,v5)) != v6 | K(L(x,z,u),w) = v6. [para(25(a,2),1958(a,1,1))]. given #2014 (H,wt=20): 2089 L(T(x,(y * z) \ 1),z,y) = (y * (z * x)) / (y * z). [para(2051(a,2),1178(a,1,1))]. given #2015 (H,wt=20): 2090 (T(x,(y * z) \ 1) * y) * z = (y * z) * R(x,y,z). [para(2051(a,2),1188(a,1,1,1))]. given #2016 (H,wt=20): 2143 (x * y) \ ((x \ 1) \ (y * x)) = L(x,x \ 1,x * y). [para(2083(a,1),500(a,2,2)),flip(a)]. given #2017 (H,wt=20): 2173 K(x,y) * z != K(u,w) * y | T(K(u,w) * y,x) = z. [para(2000(a,1),44(a,1)),flip(a)]. given #2018 (H,wt=20): 2222 (K(x,y) * (z * x)) \ (K(x,y) * z) = L(x \ 1,x,z). [para(2207(a,1),1276(a,1,1)),flip(a)]. given #2019 (H,wt=21): 1849 K(x * y,L(y \ z,y,x)) != u | K(x * y,x * z) = u. [para(95(a,2),1838(a,1,2))]. given #2020 (H,wt=21): 1920 (x * K(y,z)) * y != u * T(y,z) | R(x,K(y,z),y) = u. [para(1892(a,2),1167(a,2,2))]. given #2021 (H,wt=21): 1927 (x * K(y,z)) \ (x * T(y,z)) != u | L(y,K(y,z),x) = u. [para(1893(a,2),597(a,1,2,2))]. given #2022 (H,wt=21): 2112 (x \ 1) * L(y / (x \ 1),z,u) = x \ L(y * x,z,u). [para(2056(a,1),1578(a,1,2,1))]. given #2023 (H,wt=21): 2146 T(x,x \ (y \ x)) \ (y \ T(x,y \ 1)) = x \ (y \ x). [hyper(118,a,2109,a,b,1047,a)]. given #2024 (H,wt=19): 2249 T(x,y \ 1) \ (y \ T(x,y \ 1)) = x \ (y \ x). [para(2045(a,1),2146(a,1,1))]. given #2025 (H,wt=21): 2168 ((x \ (y / z)) * x) * z = y * K((y \ (x * z)) \ 1,x). [hyper(64,a,1473,a(flip),b,1985,a)]. given #2026 (H,wt=21): 2169 (x \ y) * K(((x \ y) \ (x \ 1)) \ 1,z) = x \ T(y,z). [hyper(64,a,1378,a(flip),b,1985,a),flip(a)]. given #2027 (H,wt=13): 2252 T(x,y \ T(z,u)) = T(x,y \ z). [para(2169(a,1),1478(a,1,2))]. given #2028 (H,wt=13): 2253 K(x,y \ T(z,u)) = K(x,y \ z). [para(2169(a,1),1993(a,1,2))]. given #2029 (H,wt=13): 2256 K(x,y \ T(z,u)) = K(x,z / y). [hyper(306,a,1954,a,b,2253,a),flip(a)]. given #2030 (H,wt=15): 2254 T(x,y \ (z * u)) = T(x,y \ (u * z)). [para(792(a,1),2252(a,1,2,2))]. given #2031 (H,wt=15): 2257 K(x,y \ (z / u)) = K(x,y \ (u \ z)). [para(108(a,1),2253(a,1,2,2)),flip(a)]. given #2032 (H,wt=15): 2258 K(x,y \ ((z \ u) \ u)) = K(x,y \ z). [para(107(a,1),2253(a,1,2,2))]. given #2033 (H,wt=15): 2260 K(x,(y * z) / u) = K(x,u \ (z * y)). [hyper(64,a,1679,a(flip),b,2256,a),flip(a)]. given #2034 (H,wt=18): 2264 K(x,y \ (z * u)) != w | K(x,y \ (u * z)) = w. [para(2260(a,1),2010(a,1))]. given #2035 (H,wt=19): 2255 T(x,y \ ((z / u) \ 1)) = T(x,y \ ((u \ z) \ 1)). [para(1159(a,1),2252(a,1,2,2))]. given #2036 (H,wt=19): 2261 T(x,K(y,z) \ (u \ (w * v5))) = T(x,u \ (v5 * w)). [hyper(1548,a,2254,a)]. given #2037 (H,wt=18): 2266 T(x,y \ (z * u)) != w | T(x,y \ (u * z)) = w. [para(2261(a,1),1528(a,1))]. given #2038 (H,wt=20): 2262 T(x,(y * z) \ ((u * z) * y)) = T(x,L(T(u,z),z,y)). [para(224(a,1),2254(a,1,2)),flip(a)]. given #2039 (H,wt=20): 2265 K(x,y \ T(z * u,w)) != v5 | K(x,y \ (u * z)) = v5. [para(2253(a,2),2264(a,1))]. given #2040 (H,wt=21): 2184 (x \ 1) * (K(y,z) * (u \ 1)) = ((u * K(z,y)) * x) \ 1. [para(2180(a,1),515(a,1,2))]. given #2041 (H,wt=21): 2186 T(x \ ((x / (x \ 1)) * y),x) = ((x \ 1) * (x / y)) \ x. [para(732(a,1),2111(a,1,1))]. given #2042 (H,wt=19): 2269 T(x \ ((x * x) * y),x) = ((x \ 1) * (x / y)) \ x. [para(323(a,1),2186(a,1,1,2,1))]. given #2043 (H,wt=21): 2187 K(x \ R(x,y,z),R(x,u,w)) = R(x,u,w) \ R(x,u,w). [para(412(a,1),1804(a,1,1,1)),flip(a)]. given #2044 (H,wt=13): 2270 K(x \ R(x,y,z),R(x,u,w)) = 1. [hyper(306,a,67,a(flip),b,2187,a),flip(a)]. given #2045 (H,wt=16): 2271 K(x \ R(x,y,z),R(x,u,w)) != v5 | 1 = v5. [para(2187(a,2),202(a,1))]. given #2046 (H,wt=21): 2194 (1 / x) * (y * T(y \ x,z)) = K(((1 / x) * y) \ 1,z). [para(78(a,1),1989(a,1,2,2,1,2))]. given #2047 (H,wt=21): 2199 (x * y) * T((x * y) \ y,z) = (x * T(x \ 1,z)) * y. [para(1901(a,2),2172(a,2,1))]. given #2048 (H,wt=21): 2245 (x * K(y,z)) * u != (x * u) * w | R(K(y,z),x,u) = w. [para(2244(a,1),44(a,1))]. given #2049 (H,wt=21): 2251 x * K((x \ (y * z)) \ 1,y) = z * ((y \ (z \ x)) * y). [hyper(1372,a,2168,a),flip(a)]. given #2050 (H,wt=21): 2267 T(x,(y * z) \ ((u * z) * y)) != w | T(x,L(u,z,y)) = w. [para(2262(a,2),1522(a,1))]. given #2051 (H,wt=21): 2268 (x \ 1) * ((y \ 1) * K(z,u)) = ((y * K(u,z)) * x) \ 1. [hyper(670,a,2184,a)]. given #2052 (H,wt=21): 2273 (1 / x) * (y * T(y \ x,z)) = K(((x \ 1) * y) \ 1,z). [hyper(306,a,1356,a(flip),b,2194,a),flip(a)]. given #2053 (H,wt=22): 1722 (x * y) * ((y * x) \ y) != z * u | z \ (y * K(x,y)) = u. [para(1720(a,2),633(a,1))]. given #2054 (H,wt=22): 1928 T(x,y) * a(K(x,y),z,z \ x) = (K(x,y) * z) * (z \ x). [para(1893(a,2),1082(a,1,1))]. given #2055 (H,wt=22): 1973 (T(x,y) * z) * K(x * z,u) != w | T(T(x,y) * z,u) = w. [para(1866(a,1),1894(a,1,2))]. given #2056 (H,wt=22): 2008 K(a(x,y,z),T(u,w)) = K(((x * y) * z) / (x * (y * z)),u). [para(14(a,2),1938(a,1,1))]. given #2057 (H,wt=22): 2161 (x * ((y * x) \ 1)) \ (z \ 1) = (z / L(y,x,x \ 1)) \ 1. [para(2136(a,1),584(a,1,1))]. given #2058 (H,wt=19): 2276 (x / L(x,y,y \ 1)) \ 1 = a(y,y \ 1,x \ 1). [hyper(64,a,1101,a(flip),b,2161,a),flip(a)]. given #2059 (H,wt=19): 2277 (L(x,y,y \ 1) \ x) \ 1 = a(y,y \ 1,x \ 1). [para(835(a,1),2276(a,1,1))]. given #2060 (H,wt=17): 2278 a(x,x \ 1,y \ 1) = a(x \ 1,x,y) \ 1. [para(1107(a,1),2277(a,1,1)),flip(a)]. given #2061 (H,wt=15): 2279 a(x,x \ 1,y \ 1) = a(y,x,x \ 1). [hyper(306,a,2152,a(flip),b,2278,a),flip(a)]. given #2062 (H,wt=15): 2281 a(x \ 1,y,y \ 1) = a(y,y \ 1,x). [para(326(a,1),2279(a,1,3)),flip(a)]. given #2063 (H,wt=18): 2280 a(x,x \ 1,y \ 1) != z | a(y,x,x \ 1) = z. [para(2278(a,2),2192(a,1))]. given #2064 (H,wt=18): 2283 a(x,x \ 1,y) != z | a(y \ 1,x,x \ 1) = z. [para(326(a,1),2280(a,1,3))]. given #2065 (H,wt=22): 2193 (x * y) * z != x * T(y,u) | K(((x * y) \ x) \ 1,u) = z. [para(1987(a,1),44(a,1)),flip(a)]. given #2066 (H,wt=22): 2259 K(x,y \ ((z * u) * R(w,z,u))) = K(x,y \ ((w * z) * u)). [para(822(a,1),2253(a,1,2,2))]. given #2067 (H,wt=23): 1590 (x \ 1) \ ((y \ (y / (x \ 1))) \ 1) = (y \ (y / (x \ 1))) \ x. [para(326(a,1),1589(a,1,2)),flip(a)]. given #2068 (H,wt=23): 1620 L((x \ y) / y,z,u) * y = (L(1 / x,z,u) * x) * (x \ y). [para(474(a,1),1097(a,1,1,1))]. given #2069 (H,wt=23): 1630 (x \ 1) * ((y \ ((x \ 1) \ z)) * y) = x \ ((y \ (x * z)) * y). [hyper(118,a,1250,a(flip),b,264,a),flip(a)]. given #2070 (H,wt=23): 1632 ((x \ (y / (1 / z))) * x) * (1 / z) = ((x \ (y * z)) * x) / z. [hyper(119,a,1254,a(flip),b,643,a),flip(a)]. given #2071 (H,wt=23): 1633 (x * y) * T((x * y) \ (z * y),u) = (T(z / x,u) * x) * y. [hyper(121,a,1290,a(flip),b,745,a)]. given #2072 (H,wt=23): 1644 K(x,y) * (z * u) != w * (K(x,y) * u) | L(z,u,K(x,y)) = w. [para(1642(a,1),45(a,1))]. given #2073 (H,wt=23): 1648 (x * y) * K(z,u) != w * (y * K(z,u)) | L(x,y,K(z,u)) = w. [para(1645(a,1),45(a,1))]. given #2074 (H,wt=23): 1655 R(x \ R(x,y,z),x,y * z) = ((x * y) * z) / (x * (y * z)). [para(417(a,1),631(a,1,1))]. given #2075 (H,wt=22): 2287 K(R(x \ R(x,y,z),x,y * z),u) = K(a(x,y,z),T(u,w)). [para(1655(a,2),2008(a,2,1)),flip(a)]. given #2076 (H,wt=20): 2288 K(R(x \ R(x,y,z),x,y * z),u) = K(a(x,y,z),u). [hyper(306,a,1937,a(flip),b,2287,a),flip(a)]. given #2077 (H,wt=23): 1697 (x * y) * L((x * y) \ y,z,u) = (L(1 / x,z,u) * x) * y. [hyper(1207,a,1416,a)]. given #2078 (H,wt=23): 1705 (T(x / (y / z),u) * (y / z)) * z = y * T(y \ (x * z),u). [hyper(306,a,537,a(flip),b,1430,a),flip(a)]. given #2079 (H,wt=23): 1981 K(x,y \ ((y / z) * (u * z))) != w | K(x,L(u,z,y / z)) = w. [para(1311(a,1),1963(a,1,2))]. given #2080 (H,wt=23): 2097 T(x \ 1,y) * R(T(x,y),z,u) = T(x,y) \ R(T(x,y),z,u). [hyper(120,a,2071,a,b,1041,a)]. given #2081 (H,wt=23): 2166 x \ (y * (z * T(z \ (y \ x),u))) = K((x \ (y * z)) \ 1,u). [para(1282(a,1),1984(a,1,2))]. given #2082 (H,wt=23): 2197 K(x,y) * (z * K((z \ K(y,x)) \ 1,u)) = T(K(x,y) * z,u). [para(2177(a,1),2170(a,1,2,2,1,1,2))]. given #2083 (H,wt=23): 2204 (1 / x) * (K(x,y) * ((1 / x) \ z)) = K((1 / x) \ 1,y) * z. [para(78(a,1),2201(a,1,2,1,1))]. given #2084 (H,wt=19): 2293 (1 / x) * (K(x,y) * ((1 / x) \ z)) = K(x,y) * z. [para(78(a,1),2204(a,2,1,1))]. given #2085 (H,wt=19): 2294 K(x,y) * ((1 / x) * z) = (1 / x) * (K(x,y) * z). [para(9(a,1),2293(a,1,2,2)),flip(a)]. given #2086 (H,wt=23): 2243 x \ T(y,z) != (u \ y) * K(y,z) | L(u,u \ y,K(y,z)) = x. [para(1919(a,1),49(a,1)),flip(a)]. given #2087 (H,wt=23): 2282 a(T(x,y),T(x \ 1,y),z \ 1) = a(z,T(x,y),T(x,y) \ 1). [para(2071(a,2),2279(a,1,2))]. given #2088 (H,wt=23): 2284 (x \ 1) \ ((y \ 1) \ ((y \ 1) / x)) = (y \ (y / (x \ 1))) \ x. [para(1357(a,1),1590(a,1,2))]. given #2089 (H,wt=23): 2285 (L(1 / x,y,z) * x) * (x \ u) = u * L(u \ (x \ u),y,z). [hyper(1207,a,1620,a),flip(a)]. given #2090 (H,wt=23): 2286 (x * y) * T((x * y) \ (z * y),u) = (x * T(x \ z,u)) * y. [para(537(a,1),1633(a,2,1))]. given #2091 (H,wt=23): 2289 K(R(x \ R(x,y,z),x,y * z),u) != w | K(a(x,y,z),u) = w. [para(2287(a,2),1963(a,1))]. given #2092 (H,wt=23): 2290 (x * y) * L((x * y) \ y,z,u) = (x * L(x \ 1,z,u)) * y. [para(737(a,1),1697(a,2,1))]. given #2093 (H,wt=23): 2291 ((x / y) * T((x / y) \ z,u)) * y = x * T(x \ (z * y),u). [para(537(a,1),1705(a,1,1))]. given #2094 (H,wt=23): 2292 K(x,y) * (K(y,x) * T(K(y,x) \ z,u)) = T(K(x,y) * z,u). [para(1985(a,2),2197(a,1,2))]. given #2095 (H,wt=23): 2298 a(T(x,y),T(x \ 1,y),z \ 1) = a(z,T(x,y),T(x \ 1,y)). [para(2071(a,2),2282(a,2,3))]. given #2096 (H,wt=23): 2299 (x * L(x \ 1,y,z)) * (x \ u) = u * L(u \ (x \ u),y,z). [para(737(a,1),2285(a,1,1))]. given #2097 (H,wt=16): 2305 x * L(x \ 1,y,y / (x \ y)) = y / y. [hyper(36,a,1134,a(flip),b,2299,a),flip(a)]. given #2098 (H,wt=12): 2307 x / x = y * L(y \ 1,x,y). [para(75(a,1),2305(a,1,2,3)),flip(a)]. given #2099 (H,wt=10): 2308 L(x \ 1,y,x) = x \ 1. [hyper(676,a,2307,a),flip(a)]. given #2100 (H,wt=10): 2309 x * L(x \ 1,y,x) = 1. [hyper(204,a,2307,a),flip(a)]. given #2101 (H,wt=15): 2310 (x * y) / (x \ 1) = x * (y / (x \ 1)). [hyper(196,a,2308,a(flip),b,97,a(flip))]. given #2102 (H,wt=15): 2311 (x * y) * (x \ 1) = x * (y * (x \ 1)). [hyper(121,a,2308,a(flip),b,18,a(flip))]. given #2103 (H,wt=15): 2316 (x \ 1) \ (y * x) = x * (y / (x \ 1)). [hyper(2085,a,2310,a)]. given #2104 (H,wt=14): 2318 L(x / (y \ 1),y,y \ 1) = x * y. [hyper(723,a,2316,a)]. given #2105 (H,wt=14): 2320 (x * (y \ 1)) * y = L(x,y,y \ 1). [para(11(a,1),2318(a,1,1)),flip(a)]. given #2106 (H,wt=13): 2322 L(x,y \ 1,y) = L(x,y,y \ 1). [hyper(2144,a,2320,a)]. given #2107 (H,wt=14): 2323 x * ((x \ 1) * y) = L(y,x,x \ 1). [hyper(2140,a,2320,a)]. given #2108 (H,wt=14): 2324 L(x,y,y \ 1) / y = x * (y \ 1). [hyper(132,a,2320,a)]. given #2109 (H,wt=14): 2325 L((x \ 1) \ y,x,x \ 1) = x * y. [hyper(613,a,2322,a),flip(a)]. given #2110 (H,wt=14): 2326 (x \ 1) \ L(y,x \ 1,x) = x * y. [hyper(118,a,2322,a,b,714,a)]. given #2111 (H,wt=15): 2319 (x \ 1) * (((x \ 1) \ y) * x) = y * x. [hyper(121,a,2088,a,b,2316,a)]. given #2112 (H,wt=15): 2327 L(x,y,y \ 1) \ x = a(y,y \ 1,x). [para(2322(a,1),1102(a,1,1))]. given #2113 (H,wt=13): 2336 a(x \ 1,x,y) = a(x,x \ 1,y). [hyper(64,a,1107,a(flip),b,2327,a)]. given #2114 (H,wt=15): 2328 L(x,y,y \ 1) * a(y,y \ 1,x) = x. [para(2322(a,1),1103(a,1,1))]. given #2115 (H,wt=15): 2330 x \ L(x,y,y \ 1) = a(x,y \ 1,y). [para(2322(a,1),2156(a,1,2))]. given #2116 (H,wt=13): 2341 a(x,y \ 1,y) = a(x,y,y \ 1). [hyper(2138,a,2330,a),flip(a)]. given #2117 (H,wt=15): 2331 x \ ((x \ 1) * y) = (x \ 1) * (x \ y). [hyper(118,a,719,a(flip),b,2323,a)]. given #2118 (H,wt=15): 2335 ((x \ 1) * y) * x = (x \ 1) * (y * x). [para(9(a,1),2319(a,1,2,1)),flip(a)]. given #2119 (H,wt=8): 2346 L(x,y,x \ 1) = x. [hyper(595,a,2335,a)]. given #2120 (H,wt=10): 2345 R(x \ 1,y,x) = x \ 1. [hyper(620,a,2335,a)]. given #2121 (H,wt=11): 2348 L(x,y,L(x,z,u) \ 1) = x. [hyper(145,a,2346,a)]. given #2122 (H,wt=14): 2349 L(R(x,y,z),u,x \ 1) = R(x,y,z). [para(2346(a,1),29(a,1,1)),flip(a)]. given #2123 (H,wt=14): 2350 L(L(x,y,z),u,x \ 1) = L(x,y,z). [para(2346(a,1),30(a,1,1)),flip(a)]. given #2124 (H,wt=14): 2351 x != y | L(z,u,x \ 1) != y | x = z. [para(2346(a,1),42(a,1))]. given #2125 (H,wt=15): 2338 a(x,x \ 1,y) \ 1 = a(y,x,x \ 1). [para(2336(a,1),2152(a,1,1))]. given #2126 (H,wt=15): 2343 (x \ 1) * (x \ ((x \ 1) \ y)) = x \ y. [para(10(a,1),2331(a,1,2)),flip(a)]. given #2127 (H,wt=15): 2355 a(x,y,y \ 1) \ 1 = a(y,y \ 1,x). [hyper(331,a,2338,a)]. given #2128 (H,wt=15): 2357 (x \ 1) \ (x \ y) = x \ ((x \ 1) \ y). [hyper(125,a,2343,a)]. given #2129 (H,wt=16): 2312 L(L(x \ 1,y,z),u,x) = L(x \ 1,y,z). [para(2308(a,1),30(a,1,1)),flip(a)]. given #2130 (H,wt=16): 2333 L(x \ 1,y,y \ 1) = y * ((x * y) \ 1). [para(515(a,1),2323(a,1,2)),flip(a)]. given #2131 (H,wt=16): 2337 x * (y * ((x * y) \ 1)) = a(y,y \ 1,x). [hyper(64,a,2160,a,b,2336,a)]. given #2132 (H,wt=16): 2342 a(x,y \ 1,y) != z | a(x,y,y \ 1) = z. [para(2330(a,1),2138(a,1))]. given #2133 (H,wt=17): 2334 (x * (y \ 1)) * y != z | L(x,y,y \ 1) = z. [para(2324(a,1),256(a,1,1)),flip(b)]. given #2134 (H,wt=16): 2358 L(x,y \ 1,y) != z | L(x,y,y \ 1) = z. [para(2135(a,1),2334(a,1))]. given #2135 (H,wt=17): 2344 (x \ 1) * (x \ K(x,y)) = x \ (x \ K(x,y)). [para(2019(a,1),2331(a,1,2)),flip(a)]. given #2136 (H,wt=17): 2359 x * ((x \ 1) * y) != z | L(y,x,x \ 1) = z. [para(2086(a,1),2334(a,1))]. given #2137 (H,wt=18): 2339 a(x,x \ 1,y) \ 1 != z | a(y,x,x \ 1) = z. [para(2336(a,1),2192(a,1,1))]. given #2138 (H,wt=18): 2340 L(x,y,y \ 1) \ x != z | a(y,y \ 1,x) = z. [para(2328(a,1),286(a,1,2)),flip(b)]. given #2139 (H,wt=16): 2360 a(x \ 1,x,y) != z | a(x,x \ 1,y) = z. [para(1107(a,1),2340(a,1))]. given #2140 (H,wt=18): 2356 a(x,y,y \ 1) \ 1 != z | a(y,y \ 1,x) = z. [para(2338(a,1),332(a,1,1)),flip(b)]. given #2141 (H,wt=19): 2347 ((x \ 1) * (y * x)) \ x = x \ (((x \ 1) * y) \ x). [para(2335(a,1),349(a,1,1))]. given #2142 (H,wt=19): 2362 x * (y * ((x * y) \ 1)) != z | a(y,y \ 1,x) = z. [para(2160(a,2),2360(a,1))]. given #2143 (H,wt=20): 2329 L(x * y,x,x \ 1) != z | x * L(y,x,x \ 1) = z. [para(2322(a,1),1166(a,1))]. given #2144 (H,wt=21): 2313 (x * y) * L(x \ 1,z,u) = x * (y * L(x \ 1,z,u)). [para(2308(a,1),527(a,1,2,1))]. given #2145 (H,wt=21): 2364 x \ (y * L(x \ 1,z,u)) = (x \ y) * L(x \ 1,z,u). [hyper(708,a,2313,a)]. given #2146 (H,wt=23): 2300 x * (y * T(y \ (x \ (z * y)),u)) = (x * T(x \ z,u)) * y. [hyper(64,a,1282,a(flip),b,2286,a)]. given #2147 (H,wt=23): 2302 K(x,y) \ T(K(x,y) * z,u) = K(y,x) * T(K(y,x) \ z,u). [hyper(125,a,2292,a)]. given #2148 (H,wt=23): 2304 (x * L(x \ (y \ x),z,u)) / (y \ x) = y * L(y \ 1,z,u). [hyper(132,a,2299,a)]. given #2149 (H,wt=23): 2361 (x * ((y * x) \ 1)) \ (y \ 1) != z | a(x,x \ 1,y \ 1) = z. [para(2333(a,1),2340(a,1,1))]. given #2150 (H,wt=23): 2363 (x / (y * x)) * ((x \ 1) \ x) = x * (x \ (((x \ 1) * y) \ x)). [para(2347(a,1),33(a,2,2))]. given #2151 (H,wt=23): 2366 (K(x,y) * T(K(x,y) \ z,u)) * K(y,x) = T(z * K(y,x),u). [hyper(120,a,2302,a(flip),b,964,a)]. given #2152 (H,wt=23): 2368 (x \ (x / y)) * ((x \ 1) \ x) = x * (x \ (((x \ 1) * y) \ x)). [para(879(a,1),2363(a,1,1))]. given #2153 (H,wt=21): 2369 x * (x \ (((x \ 1) * y) \ x)) = (x \ (x / y)) * (x * x). [para(911(a,1),2368(a,1,2)),flip(a)]. given #2154 (H,wt=17): 2370 (x \ (x / y)) * (x * x) = ((x \ 1) * y) \ x. [hyper(263,a,2369,a),flip(a)]. given #2155 (H,wt=21): 2372 (x \ (x / (y \ x))) * (x * x) = x \ (y * ((x \ 1) \ x)). [hyper(306,a,518,a(flip),b,2370,a),flip(a)]. given #2156 (H,wt=17): 2374 x \ (y * ((x \ 1) \ x)) = (x \ y) * (x * x). [para(75(a,1),2372(a,1,1,2)),flip(a)]. given #2157 (H,wt=15): 2376 x \ (y * (x * x)) = (x \ y) * (x * x). [para(911(a,1),2374(a,1,2,2))]. given #2158 (H,wt=17): 2377 ((x \ y) * (x * x)) * x = T(y * (x * x),x). [hyper(120,a,2376,a(flip),b,827,a)]. given #2159 (H,wt=20): 2378 T((x * y) * L(y,y,x),y) = ((y \ x) * (y * y)) * y. [para(93(a,2),2377(a,2,1)),flip(a)]. given #2160 (H,wt=21): 2373 (x \ (x * (y / x))) * (x * x) = ((x \ 1) * (x / y)) \ x. [para(890(a,1),2370(a,1,1,2))]. given #2161 (H,wt=17): 2379 ((x \ 1) * (x / y)) \ x = (y / x) * (x * x). [para(9(a,1),2373(a,1,1)),flip(a)]. given #2162 (H,wt=17): 2380 T(x \ ((x * x) * y),x) = (y / x) * (x * x). [hyper(64,a,2269,a,b,2379,a)]. given #2163 (H,wt=21): 2382 T((x \ ((x * x) * y)) * x,x) = ((y / x) * (x * x)) * x. [para(2380(a,1),819(a,2,1))]. given #2164 (H,wt=19): 2383 T(T((x * x) * y,x),x) = ((y / x) * (x * x)) * x. [para(793(a,2),2382(a,1,1))]. given #2165 (H,wt=24): 222 (x * (y * T(z,x * y))) \ (z * (x * y)) = a(x,y,T(z,x * y)). [para(106(a,1),14(a,2,2)),flip(a)]. given #2166 (H,wt=23): 2384 (L(x,y,z) * (z * y)) \ (x * (z * y)) = a(z,y,T(x,z * y)). [para(735(a,1),222(a,1,1))]. given #2167 (H,wt=23): 2386 (L(x,y,z) * (z * y)) \ (x * (z * y)) = a(z,y,T(x,y * z)). [para(1479(a,1),2384(a,2,3))]. given #2168 (H,wt=24): 559 ((x * y) \ 1) \ ((y \ 1) * ((x \ 1) * z)) = L(z,x \ 1,y \ 1). [para(515(a,1),18(a,2,1)),flip(a)]. given #2169 (H,wt=24): 634 R(x * y,L(z,y,x),u) \ ((x * (y * z)) * u) = L(z,y,x) * u. [para(93(a,1),183(a,1,2,1))]. given #2170 (H,wt=24): 918 (x * (y * z)) \ ((x * T(y,z)) * T(z,y)) = a(x,T(y,z),T(z,y)). [para(898(a,1),14(a,2,1,2)),flip(a)]. given #2171 (H,wt=24): 919 (T(x,y) * (T(y,x) * z)) \ ((x * y) * z) = a(T(x,y),T(y,x),z). [para(898(a,1),14(a,2,2,1)),flip(a)]. given #2172 (H,wt=24): 1036 L(x \ y,x,x \ 1) \ (x \ y) = (((x \ 1) * y) \ 1) * (x \ y). [para(719(a,1),782(a,1,1,1)),flip(a)]. given #2173 (H,wt=22): 2390 L(x \ y,x,x \ 1) \ (x \ y) = ((y \ 1) * x) * (x \ y). [para(561(a,1),1036(a,2,1))]. given #2174 (H,wt=18): 2391 a(x,x \ 1,x \ y) = ((y \ 1) * x) * (x \ y). [hyper(2340,a,2390,a)]. given #2175 (H,wt=19): 2392 ((x \ 1) * y) \ (x \ y) = ((y \ 1) * x) * (x \ y). [para(719(a,1),2390(a,1,1))]. given #2176 (H,wt=24): 1157 (x * y) * T((x * y) \ x,z) != u | x * (y * T(y \ 1,z)) = u. [para(468(a,2),285(a,1,2))]. given #2177 (H,wt=24): 1172 (x \ y) * (y \ (x * (z * (x \ y)))) = L(z,x \ y,x) * (x \ y). [para(605(a,1),736(a,1,2))]. given #2178 (H,wt=24): 1201 (x \ y) \ (((x \ 1) * y) \ (x \ y)) = L(x \ y,x,x \ 1) \ 1. [para(719(a,1),1198(a,1,2,1))]. given #2179 (H,wt=21): 2393 (x \ y) \ (((x \ 1) * y) \ (x \ y)) = ((x \ 1) * y) \ 1. [para(719(a,1),1201(a,2,1))]. given #2180 (H,wt=19): 2394 (x \ y) \ (((x \ 1) * y) \ (x \ y)) = (y \ 1) * x. [hyper(306,a,561,a(flip),b,2393,a),flip(a)]. given #2181 (H,wt=24): 1210 R(x / y,z,u) * y != w * v5 | (y * R(y \ x,z,u)) / v5 = w. [para(1002(a,1),480(a,1,1))]. given #2182 (H,wt=24): 1236 L((x * ((y \ z) \ u)) / x,y \ z,y) = (x * (z \ (y * u))) / x. [para(605(a,1),1176(a,2,1,2))]. given #2183 (H,wt=24): 1257 (x * y) * L(L(z,T(x,y),y),u,w) = y * (T(x,y) * L(z,u,w)). [hyper(121,a,30,a,b,223,a)]. given #2184 (H,wt=24): 1279 (x \ y) * L((x \ y) \ y,z,u) != w | L(x,z,u) * (x \ y) = w. [para(107(a,1),484(a,1,2,1))]. given #2185 (H,wt=24): 1284 ((x / y) * (y * x)) / ((x / y) * y) = L((x / y) * y,y,x / y). [para(12(a,1),591(a,1,1,2,2))]. given #2186 (H,wt=20): 2397 L((x / y) * y,y,x / y) = ((x / y) * (y * x)) / x. [para(12(a,1),1284(a,1,2)),flip(a)]. given #2187 (H,wt=20): 2398 L((x / y) * y,y,x / y) = x / ((x / (y * x)) * y). [hyper(306,a,733,a(flip),b,2397,a),flip(a)]. given #2188 (H,wt=20): 2399 L((x / y) * y,y,x / y) = x / ((x \ (x / y)) * y). [para(879(a,1),2398(a,2,2,1))]. given #2189 (H,wt=16): 2400 x / ((x \ (x / y)) * y) = L(x,y,x / y). [para(12(a,1),2399(a,1,1)),flip(a)]. given #2190 (H,wt=16): 2401 L(x,y,x / y) \ x = (x \ (x / y)) * y. [hyper(189,a,2400,a)]. given #2191 (H,wt=16): 2402 L(x,y,x / y) \ x = y * (x \ (x / y)). [hyper(306,a,1182,a(flip),b,2401,a),flip(a)]. given #2192 (H,wt=24): 1288 L(R(T(x,y) \ z,u,w),T(x,y),y) = R((x * y) \ (y * z),u,w). [para(610(a,1),29(a,1,1)),flip(a)]. given #2193 (H,wt=24): 1361 ((x / y) \ 1) \ L((x / y) \ 1,x / y,x) = (x / y) * (y / x). [para(914(a,1),927(a,2,2))]. given #2194 (H,wt=17): 2404 ((x / y) \ 1) \ (y / x) = (x / y) * (y / x). [para(914(a,1),1361(a,1,2))]. given #2195 (H,wt=21): 2405 ((x * y) / y) * (y / (x * y)) = (x \ 1) \ (y / (x * y)). [para(11(a,1),2404(a,1,1,1)),flip(a)]. given #2196 (H,wt=21): 2406 ((x * y) / y) * (y / (x * y)) = (x \ 1) \ (y \ (y / x)). [para(879(a,1),2405(a,2,2))]. given #2197 (H,wt=17): 2407 (x \ 1) \ (y \ (y / x)) = x * (y / (x * y)). [para(11(a,1),2406(a,1,1)),flip(a)]. given #2198 (H,wt=17): 2408 (x \ 1) \ (y \ (y / x)) = x * (y \ (y / x)). [para(879(a,1),2407(a,2,2))]. given #2199 (H,wt=21): 2409 x * ((y \ 1) \ ((y \ 1) / x)) = (y \ (y / (x \ 1))) \ x. [hyper(64,a,2284,a(flip),b,2408,a),flip(a)]. given #2200 (H,wt=24): 1415 R(R(x \ 1,x,y),z,u) * (x * y) = (x * R(x \ 1,z,u)) * y. [para(751(a,1),521(a,2,1))]. given #2201 (H,wt=24): 1426 x \ (L(y,z,u) * (y * (L(y,z,u) \ x))) = T(y,L(y,z,u) \ x). [hyper(64,a,783,a(flip),b,1089,a),flip(a)]. given #2202 (H,wt=24): 1455 (x \ ((x * (x \ 1)) * y)) / (x \ ((x \ 1) * y)) = L(x,x \ 1,y). [hyper(1206,a,1454,a),flip(a)]. given #2203 (H,wt=18): 2412 (x \ y) / (x \ ((x \ 1) * y)) = L(x,x \ 1,y). [para(69(a,1),1455(a,1,1,2))]. given #2204 (H,wt=18): 2413 (x \ y) / ((x \ 1) * (x \ y)) = L(x,x \ 1,y). [para(2331(a,1),2412(a,1,2))]. given #2205 (H,wt=15): 2414 L(x,x \ 1,x \ y) = L(x,x \ 1,y). [hyper(996,a,2413,a)]. given #2206 (H,wt=15): 2415 L(x,x \ 1,x * y) = L(x,x \ 1,y). [para(9(a,1),2414(a,1,3)),flip(a)]. given #2207 (H,wt=18): 2416 (x * y) \ ((x \ 1) \ (y * x)) = L(x,x \ 1,y). [hyper(64,a,2143,a,b,2415,a)]. given #2208 (H,wt=18): 2417 (x * y) \ (x * (y / (x \ 1))) = L(x,x \ 1,y). [para(2316(a,1),2416(a,1,2))]. given #2209 (H,wt=24): 1571 1 / R(T(x,(1 / x) * y),1 / x,y) = (((1 / x) * y) \ y) \ 1. [para(1118(a,1),1253(a,1,1)),flip(a)]. given #2210 (H,wt=24): 1580 L(x * (y \ 1),z,u) / (y \ 1) != w * y | L(x / y,z,u) = w. [para(1424(a,2),45(a,1))]. given #2211 (H,wt=24): 1581 (x \ 1) \ L((x \ 1) * y,z,u) != x * w | L(x \ y,z,u) = w. [para(1425(a,2),44(a,1))]. given #2212 (H,wt=24): 1605 x \ y != L(z,u,w) * (z \ (L(z,u,w) \ v5)) | x * (z \ v5) = y. [para(1602(a,1),313(a,2,2))]. given #2213 (H,wt=24): 1606 x \ y != L(z,u,w) * (z \ (L(z,u,w) \ v5)) | y / (z \ v5) = x. [para(1602(a,1),319(a,2,2))]. given #2214 (H,wt=24): 1628 L(x * (y \ 1),y,y \ 1) != z * (y \ 1) | L(x,y \ 1,y) = z. [para(1627(a,2),45(a,1))]. given #2215 (H,wt=24): 1746 ((x / y) * (y * K(z,x))) \ ((z * x) / z) = a(x / y,y,K(z,x)). [para(1726(a,2),84(a,1,2))]. given #2216 (H,wt=24): 2023 (x / T(y,x)) * L(z,x / y,K(x,y)) = K(x,y) * ((x / y) * z). [hyper(120,a,2022,a(flip),b,186,a)]. given #2217 (H,wt=24): 2081 T(T(x,y) * L(y,z,u),L(y,z,u) \ 1) = T(L(y,z,u) * x,y). [hyper(306,a,1607,a,b,2049,a),flip(a)]. given #2218 (H,wt=17): 2419 T(x * L(y,z,u),y) = T(x,y) * L(y,z,u). [hyper(41,a,2052,a,b,2081,a)]. given #2219 (H,wt=20): 2420 T(x * y,y) * L(y,y,x) = ((y \ x) * (y * y)) * y. [hyper(64,a,2378,a(flip),b,2419,a),flip(a)]. given #2220 (H,wt=20): 2421 (T(x,y) * y) * L(y,y,x) = ((y \ x) * (y * y)) * y. [para(819(a,1),2420(a,1,1))]. given #2221 (H,wt=22): 2422 (((x \ y) * x) * x) * L(x,x,y) = ((x \ y) * (x * x)) * x. [para(793(a,1),2421(a,1,1,1))]. given #2222 (H,wt=24): 2095 T((x * y) \ ((z * y) * T(x,y)),(x * y) \ 1) = R(z,y,T(x,y)). [hyper(306,a,225,a(flip),b,2066,a),flip(a)]. given #2223 (H,wt=21): 2424 R(x,y,T(z,y)) != u | ((x * y) * T(z,y)) / (z * y) = u. [para(2095(a,1),2073(a,1))]. given #2224 (H,wt=24): 2132 (x / y) \ L(x / y,y,y \ 1) = ((x * (y \ 1)) \ (x / y)) \ 1. [para(2130(a,1),1225(a,1,1,1)),flip(a)]. given #2225 (H,wt=24): 2133 (x / y) \ L(x / y,y,y \ 1) = (x * (y \ 1)) * ((x / y) \ 1). [para(2130(a,1),1579(a,1,1)),flip(a)]. given #2226 (H,wt=21): 2427 (x * (y \ 1)) * ((x / y) \ 1) = (x / y) \ (x * (y \ 1)). [para(2130(a,1),2133(a,1,2)),flip(a)]. given #2227 (H,wt=24): 2227 R(K(x,y),y * z,u) * ((y * z) * u) = (y * (K(x,y) * z)) * u. [hyper(120,a,2212,a(flip),b,295,a),flip(a)]. given #2228 (H,wt=24): 2233 (K(x,y) * (z * x)) \ (K(x,y) * z) = L(x \ 1,x,K(x,y) * z). [para(2217(a,1),214(a,2,1)),flip(a)]. given #2229 (H,wt=17): 2428 L(x \ 1,x,K(x,y) * z) = L(x \ 1,x,z). [hyper(64,a,2222,a(flip),b,2233,a),flip(a)]. given #2230 (H,wt=17): 2430 L(x \ 1,x,y * K(x,z)) = L(x \ 1,x,y). [para(244(a,1),2428(a,1,3))]. given #2231 (H,wt=24): 2332 x * (L(x,y,z) * ((x \ 1) * u)) = L(x,y,z) * L(u,x,x \ 1). [hyper(121,a,2323,a(flip),b,1597,a),flip(a)]. given #2232 (H,wt=24): 2410 R(L(x \ 1,x,y),z,u) * (x * y) = (x * R(x \ 1,z,u)) * y. [para(938(a,1),1415(a,1,1,1))]. given #2233 (H,wt=24): 2411 x \ (y * (L(y,z,u) * (L(y,z,u) \ x))) = T(y,L(y,z,u) \ x). [para(1593(a,1),1426(a,1,2))]. given #2234 (H,wt=14): 2432 T(x,L(x,y,z) \ u) = u \ (x * u). [para(10(a,1),2411(a,1,2,2)),flip(a)]. given #2235 (H,wt=12): 2433 T(x,L(x,y,z) \ u) = T(x,u). [hyper(306,a,22,a,b,2432,a),flip(a)]. given #2236 (H,wt=14): 2435 T(x,x * (L(x,y,z) \ u)) = T(x,u). [hyper(513,a,2433,a)]. given #2237 (H,wt=14): 2436 T(x,L(x,y,z) * u) = T(x,x * u). [para(9(a,1),2435(a,1,2,2)),flip(a)]. given #2238 (H,wt=16): 2437 K(x,L(x,y,z) * u) = x \ T(x,x * u). [hyper(118,a,2436,a(flip),b,1892,a(flip)),flip(a)]. given #2239 (H,wt=14): 2438 K(x,L(x,y,z) * u) = K(x,x * u). [hyper(306,a,1891,a,b,2437,a),flip(a)]. given #2240 (H,wt=12): 2439 K(x,L(x,y,z) * u) = K(x,u). [hyper(306,a,1811,a(flip),b,2438,a),flip(a)]. given #2241 (H,wt=12): 2440 K(x,y * L(x,z,u)) = K(x,y). [hyper(1979,a,2439,a)]. given #2242 (H,wt=12): 2441 K(x,L(x,y,z) \ u) = K(x,u). [para(10(a,1),2439(a,1,2)),flip(a)]. given #2243 (H,wt=13): 2442 K(x,y * (z * x)) = K(x,y * z). [para(93(a,1),2440(a,1,2))]. given #2244 (H,wt=11): 2444 K(x,y * (x * x)) = K(x,y). [hyper(306,a,1809,a(flip),b,2442,a),flip(a)]. given #2245 (H,wt=11): 2445 K(x,(x * x) * y) = K(x,y). [hyper(1979,a,2444,a)]. given #2246 (H,wt=15): 2443 K(x,x \ (y * (z * x))) = K(x,y * z). [hyper(2027,a,2442,a)]. given #2247 (H,wt=24): 2418 1 / R(T(x,(1 / x) * y),x \ 1,y) = (((1 / x) * y) \ y) \ 1. [para(325(a,1),1571(a,1,2,2))]. given #2248 (H,wt=24): 2426 (x / y) \ L(x / y,y,y \ 1) = ((x / y) * (y * (x \ 1))) \ 1. [hyper(306,a,547,a,b,2133,a),flip(a)]. given #2249 (H,wt=19): 2447 (x * (y \ 1)) \ (x / y) = (x / y) * (y * (x \ 1)). [hyper(40,a,2132,a(flip),b,2426,a(flip))]. given #2250 (H,wt=24): 2431 L(R(x \ 1,y,z),x,u) * (x * u) = (x * R(x \ 1,y,z)) * u. [para(29(a,1),2410(a,1,1))]. given #2251 (H,wt=24): 2446 1 / R(T(x,(x \ 1) * y),x \ 1,y) = (((1 / x) * y) \ y) \ 1. [para(325(a,1),2418(a,1,2,1,2,1))]. given #2252 (H,wt=25): 540 (x * (y * R(y,z,u))) \ ((x * R(y,z,u)) * y) = a(x,R(y,z,u),y). [para(233(a,1),14(a,2,1,2)),flip(a)]. given #2253 (H,wt=25): 556 ((x * (y \ L(y,z,u))) * y) / L(y,z,u) = R(x,y \ L(y,z,u),y). [para(423(a,1),20(a,2,2)),flip(a)]. given #2254 (H,wt=25): 1113 R(L(x,y,z) \ x,L(x,y,z),x \ u) = u / (L(x,y,z) * (x \ u)). [para(835(a,1),378(a,1,1))]. given #2255 (H,wt=25): 1237 ((x * R(y,z,u)) / x) * (z * u) != w | (((x * y) / x) * z) * u = w. [para(1189(a,1),280(a,1,1))]. given #2256 (H,wt=25): 1283 (x * y) * T(L(z,y,x),u) != w * v5 | w \ (x * (y * T(z,u))) = v5. [para(530(a,2),633(a,1))]. given #2257 (H,wt=25): 1358 (x \ 1) \ ((y \ 1) \ ((z \ 1) * u)) = ((((u \ 1) * z) / y) / x) \ 1. [para(586(a,1),584(a,1,2))]. given #2258 (H,wt=25): 1414 R((x * y) / (z * y),u,w) * (z * y) = (R(x / z,u,w) * z) * y. [para(103(a,1),521(a,1,1,1))]. given #2259 (H,wt=25): 1417 L((x * y) / (z * y),u,w) * (z * y) = (L(x / z,u,w) * z) * y. [para(103(a,1),525(a,1,1,1))]. given #2260 (H,wt=21): 2452 (L((x * y) / x,z,u) * x) * y = (x * y) * L(y,z,u). [hyper(1235,a,1417,a),flip(a)]. given #2261 (H,wt=17): 2454 (x * L(y,z,u)) * y = (x * y) * L(y,z,u). [para(739(a,1),2452(a,1,1))]. given #2262 (H,wt=17): 2455 (x * y) / L(y,z,u) = (x / L(y,z,u)) * y. [hyper(693,a,2454,a)]. given #2263 (H,wt=17): 2456 ((x / L(y,z,u)) * y) \ (x * y) = L(y,z,u). [hyper(655,a,2454,a)]. given #2264 (H,wt=17): 2457 (x * L(y,z,u)) / y = (x / y) * L(y,z,u). [hyper(119,a,150,a(flip),b,2454,a)]. given #2265 (H,wt=17): 2458 ((x / y) * L(y,z,u)) \ (x * L(y,z,u)) = y. [hyper(118,a,150,a(flip),b,2454,a)]. given #2266 (H,wt=18): 2459 ((x * y) * z) * L(z,y,x) = (x * (y * z)) * z. [para(93(a,1),2454(a,1,1)),flip(a)]. given #2267 (H,wt=11): 2465 L(x,x,x \ y) = L(x,x,y). [hyper(35,a,2422,a,b,2459,a),flip(a)]. given #2268 (H,wt=11): 2466 L(x,x,x * y) = L(x,x,y). [para(9(a,1),2465(a,1,3)),flip(a)]. given #2269 (H,wt=17): 2467 L(R(x,y,z),x,x \ u) = R(L(x,x,u),y,z). [para(2465(a,1),29(a,1,1)),flip(a)]. given #2270 (H,wt=17): 2468 L(L(x,y,z),x,x \ u) = L(L(x,x,u),y,z). [para(2465(a,1),30(a,1,1)),flip(a)]. given #2271 (H,wt=17): 2469 L(R(x,y,z),x,x \ u) = L(R(x,y,z),x,u). [hyper(306,a,29,a(flip),b,2467,a),flip(a)]. given #2272 (H,wt=18): 2462 L(x,y,z) = ((z * y) * x) \ ((z * (y * x)) * x). [para(186(a,1),2456(a,1,1,1)),flip(a)]. given #2273 (H,wt=18): 2463 ((x * y) / z) * L(z,y,x) = (x * (y * z)) / z. [para(93(a,1),2457(a,1,1)),flip(a)]. given #2274 (H,wt=20): 2461 (x * y) / L(y,z,u) != w | (x / L(y,z,u)) * y = w. [para(2456(a,1),282(a,1,2)),flip(b)]. given #2275 (H,wt=20): 2464 x \ (y * L(z,u,w)) != z | (y / z) * L(z,u,w) = x. [para(2458(a,1),49(a,1)),flip(a)]. given #2276 (H,wt=21): 2470 L(T(L(x,y,z),u),x,x \ w) = T(L(L(x,x,w),y,z),u). [para(2468(a,1),25(a,2,1))]. given #2277 (H,wt=21): 2471 ((x * y) * z) * L(z,y,x) != u | (x * (y * z)) * z = u. [para(2462(a,2),262(a,1,2)),flip(b)]. given #2278 (H,wt=21): 2473 L(T(L(x,y,z),u),x,x \ w) = L(T(L(x,x,w),u),y,z). [hyper(306,a,25,a,b,2470,a),flip(a)]. given #2279 (H,wt=21): 2474 L(T(L(x,y,z),u),x,x \ w) = L(L(T(x,u),x,w),y,z). [para(25(a,2),2473(a,2,1))]. given #2280 (H,wt=21): 2475 L(L(T(x,y),z,u),x,x \ w) = L(L(T(x,y),x,w),z,u). [para(25(a,2),2474(a,1,1))]. given #2281 (H,wt=15): 2476 L(T(x,y),x,x \ z) = L(T(x,y),x,z). [hyper(145,a,2475,a)]. given #2282 (H,wt=15): 2477 L(T(x,y),x,x * z) = L(T(x,y),x,z). [para(9(a,1),2476(a,1,3)),flip(a)]. given #2283 (H,wt=25): 1419 (x * y) * L((x * y) \ z,u,w) = x * (y * L(y \ (x \ z),u,w)). [para(293(a,1),527(a,1,2,1))]. given #2284 (H,wt=23): 2478 x * (y * L(y \ (x \ y),z,u)) = (x * L(x \ 1,z,u)) * y. [hyper(64,a,2290,a(flip),b,1419,a),flip(a)]. given #2285 (H,wt=25): 1421 (x * y) * R((x * y) \ (x * z),u,w) = x * (y * R(y \ z,u,w)). [para(95(a,1),528(a,1,2,1))]. given #2286 (H,wt=25): 1422 (x * y) * R((x * y) \ z,u,w) = x * (y * R(y \ (x \ z),u,w)). [para(293(a,1),528(a,1,2,1))]. given #2287 (H,wt=25): 1431 (x * y) * ((z * ((x * y) \ x)) / z) = x * (y * ((z * (y \ 1)) / z)). [hyper(121,a,1177,a(flip),b,18,a(flip))]. given #2288 (H,wt=21): 2482 (x * y) * ((z * ((x * y) \ x)) / z) = x * K(z,y \ 1). [para(1769(a,1),1431(a,2,2))]. given #2289 (H,wt=25): 1449 (x * (R(x,y,z) * u)) \ ((R(x,y,z) * x) * u) = a(R(x,y,z),x,u). [para(1443(a,1),14(a,2,1)),flip(a)]. given #2290 (H,wt=25): 1612 (x * y) \ (K(x,y) * (y * (x * z))) = L(L(z,x,y),y * x,K(x,y)). [para(93(a,1),390(a,1,2,2))]. given #2291 (H,wt=25): 1618 x * ((x \ y) * L((x \ y) \ z,u,w)) = y * L(y \ (x * z),u,w). [para(605(a,1),1087(a,1,2,1)),flip(a)]. given #2292 (H,wt=25): 1619 (x / y) * (y * L(y \ z,u,w)) = x * L(x \ ((x / y) * z),u,w). [para(606(a,1),1090(a,1,2,1)),flip(a)]. given #2293 (H,wt=25): 1622 x * ((x \ y) * R((x \ y) \ z,u,w)) = y * R(y \ (x * z),u,w). [hyper(121,a,1130,a(flip),b,94,a),flip(a)]. given #2294 (H,wt=25): 1623 (R(x / (y / z),u,w) * (y / z)) * z = R((x * z) / y,u,w) * y. [hyper(120,a,1136,a(flip),b,104,a),flip(a)]. given #2295 (H,wt=23): 2486 (R(1 / (x / y),z,u) * (x / y)) * y = R(y / x,z,u) * x. [para(7(a,1),1623(a,2,1,1,1))]. given #2296 (H,wt=23): 2487 ((x / y) * R((x / y) \ 1,z,u)) * y = R(y / x,z,u) * x. [para(747(a,1),2486(a,1,1))]. given #2297 (H,wt=23): 2488 (x / y) * R((x / y) \ 1,z,u) = (x * R(x \ y,z,u)) / y. [hyper(119,a,747,a(flip),b,2487,a),flip(a)]. given #2298 (H,wt=25): 1624 L((x \ y) \ 1,x \ y,x) != ((x \ y) * x) \ z | y / (y / x) = z. [para(1146(a,1),48(a,1))]. given #2299 (H,wt=25): 1625 (((x * (y * z)) / (x * y)) * x) * y = (x * y) * R(L(z,y,x),x,y). [para(18(a,2),1184(a,1,2,1)),flip(a)]. given #2300 (H,wt=22): 2493 (((x * (y * z)) / (x * y)) * x) * y = x * (y * R(z,x,y)). [hyper(306,a,528,a(flip),b,1625,a),flip(a)]. given #2301 (H,wt=25): 1692 ((x \ (y / (z \ 1))) * x) * (z \ 1) = x * (z \ T(z * (x \ y),x)). [para(1291(a,1),1688(a,1,2)),flip(a)]. given #2302 (H,wt=25): 1693 ((x \ (y / (1 / z))) * x) * (1 / z) = x * (T((x \ y) * z,x) / z). [para(1383(a,1),1688(a,1,2)),flip(a)]. given #2303 (H,wt=21): 2494 x * (T((x \ y) * z,x) / z) = ((x \ (y * z)) * x) / z. [hyper(64,a,1632,a(flip),b,1693,a),flip(a)]. given #2304 (H,wt=21): 2495 x * (y \ T(y * (x \ z),x)) = ((x \ (z * y)) * x) / y. [para(964(a,1),2494(a,1,2))]. given #2305 (H,wt=23): 2496 ((x \ (y / (z \ 1))) * x) * (z \ 1) = ((x \ (y * z)) * x) / z. [hyper(64,a,1692,a,b,2495,a)]. given #2306 (H,wt=23): 2497 (x \ 1) * ((y \ ((x \ 1) \ z)) * y) = ((y \ (z * x)) * y) / x. [hyper(1372,a,2496,a)]. given #2307 (H,wt=19): 2498 (x \ ((y \ (x * z)) * y)) * x = (y \ (z * x)) * y. [hyper(120,a,1630,a(flip),b,2497,a(flip))]. given #2308 (H,wt=22): 2499 (x \ ((y \ (x * z)) * y)) * x != u * y | y \ (z * x) = u. [para(2498(a,2),45(a,1))]. given #2309 (H,wt=25): 2009 (K(x,T(y,z)) * u) * (w * K(v5,v6)) = (u * K(x,y)) * (K(v5,v6) * w). [hyper(120,a,1949,a,b,531,a)]. given #2310 (H,wt=25): 2163 x * (((x * y) / ((x * y) / x)) \ z) = (x * (T(x,y) \ x)) \ (x * z). [para(1806(a,1),1716(a,1,1)),flip(a)]. given #2311 (H,wt=23): 2501 (x * (T(x,y) \ x)) \ (x * z) = x * ((x * (T(x,y) \ x)) \ z). [para(1806(a,1),2163(a,1,2,1)),flip(a)]. given #2312 (H,wt=25): 2165 (x * (y * T(y \ z,u))) / (x * z) = K(((x * y) / (x * z)) \ 1,u). [para(1281(a,1),1983(a,1,1))]. given #2313 (H,wt=25): 2185 (T(x,y) * (1 \ T(x,y))) / ((x / y) \ T(x,y)) = ((x / y) \ 1) \ x. [hyper(64,a,728,a,b,2048,a)]. given #2314 (H,wt=23): 2503 (T(x,y) * T(x,y)) / ((x / y) \ T(x,y)) = ((x / y) \ 1) \ x. [para(66(a,1),2185(a,1,1,2))]. given #2315 (H,wt=25): 2274 K((((x \ y) \ 1) * (x \ 1)) \ 1,z) = (1 / (x \ y)) * (x \ T(y,z)). [para(1378(a,1),2273(a,1,2)),flip(a)]. given #2316 (H,wt=15): 2504 (1 / (x \ y)) * (x \ T(y,z)) = K(y,z). [hyper(64,a,1239,a(flip),b,2274,a),flip(a)]. given #2317 (H,wt=15): 2506 (1 / x) * ((y / x) \ T(y,z)) = K(y,z). [para(78(a,1),2504(a,1,1,2))]. given #2318 (H,wt=13): 2508 K(x,y) = (1 / (y * x)) * (x * y). [para(1231(a,1),2506(a,1,2)),flip(a)]. given #2319 (H,wt=13): 2509 K(x,y) = (x * y) * ((y * x) \ 1). [hyper(306,a,1553,a(flip),b,2508,a),flip(a)]. given #2320 (H,wt=15): 2510 ((x \ y) * x) * (y \ 1) = K(x \ y,x). [para(10(a,1),2509(a,2,2,1)),flip(a)]. given #2321 (H,wt=17): 2511 ((x \ y) * x) * (y \ 1) = ((x \ y) * x) / y. [hyper(306,a,391,a,b,2510,a),flip(a)]. given #2322 (H,wt=18): 2507 (1 / (x \ y)) \ K(y,z) != u | x \ T(y,z) = u. [para(2504(a,1),286(a,1,2)),flip(b)]. given #2323 (H,wt=20): 2512 ((x \ y) * x) / y != ((x \ y) * x) * z | y \ 1 = z. [para(2511(a,1),44(a,1))]. given #2324 (H,wt=25): 2296 (K(x,y) * z) \ (K(x,y) * ((1 / x) * z)) = T(1 / x,K(x,y) * z). [hyper(118,a,2294,a,b,106,a)]. given #2325 (H,wt=20): 2513 L(T(1 / x,y),y,K(x,z)) = T(1 / x,K(x,z) * y). [hyper(1127,a,2296,a)]. given #2326 (H,wt=25): 2423 ((x \ y) * (x * x)) * x != (((x \ y) * x) * x) * z | L(x,x,y) = z. [para(2422(a,1),44(a,1))]. given #2327 (H,wt=25): 2451 (x * y) * R((x * y) \ (z * y),u,w) = (R(z / x,u,w) * x) * y. [hyper(1209,a,1414,a)]. given #2328 (H,wt=25): 2453 (x * y) * L((x * y) \ (z * y),u,w) = (L(z / x,u,w) * x) * y. [hyper(1207,a,1417,a)]. given #2329 (H,wt=25): 2460 ((x * (y \ L(y,z,u))) / L(y,z,u)) * y = R(x,y \ L(y,z,u),y). [hyper(64,a,556,a(flip),b,2455,a),flip(a)]. given #2330 (H,wt=25): 2481 x * ((x * L(x \ 1,y,z)) * (x \ u)) = (x * L(x \ 1,y,z)) * u. [para(2299(a,2),2478(a,1,2))]. given #2331 (H,wt=25): 2483 (x * (R(x,y,z) * u)) \ ((x * R(x,y,z)) * u) = a(R(x,y,z),x,u). [para(233(a,1),1449(a,1,2,1))]. given #2332 (H,wt=18): 2518 a(R(x,y,z),x,u) != w | a(x,R(x,y,z),u) = w. [para(2483(a,1),1084(a,1))]. given #2333 (H,wt=25): 2484 x \ (y * L(y \ (x * z),u,w)) = (x \ y) * L((x \ y) \ z,u,w). [hyper(125,a,1618,a)]. given #2334 (H,wt=23): 2519 (x \ y) * L((x \ y) \ 1,z,u) = x \ (y * L(y \ x,z,u)). [para(8(a,1),2484(a,1,2,2,1,2)),flip(a)]. given #2335 (H,wt=25): 2485 (x / y) * (y * L(y \ ((x / y) \ z),u,w)) = x * L(x \ z,u,w). [para(10(a,1),1619(a,2,2,1,2))]. given #2336 (H,wt=23): 2523 (x / y) * L((x / y) \ 1,z,u) = (x * L(x \ y,z,u)) / y. [hyper(119,a,2485,a(flip),b,2478,a(flip)),flip(a)]. given #2337 (H,wt=25): 2500 (x * K(y,T(z,u))) * (w * K(v5,v6)) = (x * K(y,z)) * (K(v5,v6) * w). [hyper(652,a,2009,a)]. given #2338 (H,wt=25): 2514 (x * y) * R((x * y) \ (z * y),u,w) = (x * R(x \ z,u,w)) * y. [para(747(a,1),2451(a,2,1))]. given #2339 (H,wt=23): 2529 x * R(x \ (x \ (y * x)),z,u) = T(x * R(x \ y,z,u),x). [hyper(230,a,2514,a(flip),b,1422,a(flip)),flip(a)]. given #2340 (H,wt=21): 2532 T(x * R(x \ y,z,u),x) = x * R(x \ T(y,x),z,u). [para(22(a,2),2529(a,1,2,1,2)),flip(a)]. given #2341 (H,wt=21): 2533 x \ T(x * R(x \ y,z,u),x) = R(x \ T(y,x),z,u). [hyper(118,a,2532,a,b,xx)]. given #2342 (H,wt=23): 2530 (x * y) * R((x * y) \ y,z,u) = (x * R(x \ 1,z,u)) * y. [para(7(a,1),2514(a,1,2,1,2))]. given #2343 (H,wt=23): 2537 (x * y) * R(y \ (x \ y),z,u) = (x * R(x \ 1,z,u)) * y. [para(349(a,1),2530(a,1,2,1))]. given #2344 (H,wt=25): 2515 (x * y) * L((x * y) \ (z * y),u,w) = (x * L(x \ z,u,w)) * y. [para(737(a,1),2453(a,2,1))]. given #2345 (H,wt=22): 2540 (x * L(x \ y,z,x)) * z = x * (z * ((x * z) \ (y * z))). [hyper(285,a,2515,a),flip(a)]. given #2346 (H,wt=22): 2544 x * (y * ((x * y) \ ((x * z) * y))) = (x * L(z,y,x)) * y. [para(9(a,1),2540(a,1,1,2,1)),flip(a)]. given #2347 (H,wt=23): 2542 x * L(x \ (x \ (y * x)),z,u) = T(x * L(x \ y,z,u),x). [hyper(230,a,2515,a(flip),b,1419,a(flip)),flip(a)]. given #2348 (H,wt=21): 2545 T(x * L(x \ y,z,u),x) = x * L(x \ T(y,x),z,u). [para(22(a,2),2542(a,1,2,1,2)),flip(a)]. given #2349 (H,wt=21): 2546 x \ T(x * L(x \ y,z,u),x) = L(x \ T(y,x),z,u). [hyper(118,a,2545,a,b,xx)]. given #2350 (H,wt=25): 2516 (L(x,y,z) / (x * (u \ L(x,y,z)))) * x = R(u,x \ L(x,y,z),x). [para(730(a,1),2460(a,1,1))]. given #2351 (H,wt=25): 2521 ((x \ y) \ 1) * (x \ (y * L(y \ x,z,u))) = L((x \ y) \ 1,z,u). [hyper(121,a,2519,a(flip),b,927,a)]. given #2352 (H,wt=25): 2526 x * (y * R(y \ (x \ (z * y)),u,w)) = (x * R(x \ z,u,w)) * y. [hyper(64,a,1422,a(flip),b,2514,a)]. given #2353 (H,wt=25): 2535 T(T(x,y) * R(x \ z,u,w),x) = T(x,y) * R(x \ T(z,x),u,w). [para(2533(a,1),2241(a,1,2)),flip(a)]. given #2354 (H,wt=25): 2548 T(T(x,y) * L(x \ z,u,w),x) = T(x,y) * L(x \ T(z,x),u,w). [para(2546(a,1),2241(a,1,2)),flip(a)]. given #2355 (H,wt=26): 615 L(L(x,y,z) \ u,L(x,y,z),z * y) = (z * (y * x)) \ ((z * y) * u). [para(93(a,1),95(a,2,1))]. given #2356 (H,wt=19): 2551 a(x,y,z) = L(L(z,y,x) \ z,L(z,y,x),x * y). [hyper(306,a,14,a,b,615,a)]. given #2357 (H,wt=8): 2553 T(x,a(y,z,x)) = x. [para(2551(a,2),1682(a,1,2))]. given #2358 (H,wt=13): 2554 a(x,y,z) * z = z * a(x,y,z). [hyper(121,a,2553,a(flip),b,22,a(flip))]. given #2359 (H,wt=13): 2555 (a(x,y,z) \ z) \ z = a(x,y,z). [hyper(118,a,2553,a(flip),b,793,a(flip))]. given #2360 (H,wt=16): 2556 a(x,y,z) != u \ z | a(x,y,z) \ z = u. [para(2555(a,1),49(a,1))]. given #2361 (H,wt=22): 2552 L(x,L(y,z,u),u * z) != a(u,z,y) | L(y,z,u) \ y = x. [para(2551(a,2),51(a,1)),flip(a)]. given #2362 (H,wt=26): 632 R(x / R(y,z,u),R(y,z,u),z * u) = (x * (z * u)) / ((y * z) * u). [para(102(a,1),103(a,2,2))]. given #2363 (H,wt=26): 1005 (T(x,x \ y) * z) \ (((x \ y) \ y) * (z * u)) = L(u,z,T(x,x \ y)). [hyper(118,a,305,a(flip),b,93,a)]. given #2364 (H,wt=26): 1007 (T(x,x \ y) * z) \ (((x \ y) \ y) * (z * u)) = L(u,z,(x \ y) \ y). [para(305(a,2),18(a,2,1)),flip(a)]. given #2365 (H,wt=17): 2558 L(x,y,T(z,z \ u)) = L(x,y,(z \ u) \ u). [hyper(64,a,1005,a(flip),b,1007,a)]. given #2366 (H,wt=15): 2559 L(x,y,(z \ u) \ u) = L(x,y,T(z,u)). [para(404(a,1),2558(a,1,3)),flip(a)]. given #2367 (H,wt=13): 2560 L(x,y,(z \ 1) \ 1) = L(x,y,z). [para(177(a,1),2559(a,2,3))]. given #2368 (H,wt=13): 2561 L(x,y,T(z,K(u,w))) = L(x,y,z). [para(334(a,2),2560(a,1,3))]. given #2369 (H,wt=12): 2563 L(x,y,L(z,u,z)) = L(x,y,z). [para(758(a,1),2561(a,1,3))]. given #2370 (H,wt=14): 2564 L(x,y,a(z,u,z) \ w) = L(x,y,w). [para(776(a,1),2563(a,1,3))]. given #2371 (H,wt=15): 2562 L(x,y,K(z,T(u,w))) = L(x,y,K(z,u)). [para(1942(a,2),2560(a,1,3))]. given #2372 (H,wt=15): 2565 L(x,y,K(z \ u,z)) = L(x,y,K(u,z)). [para(1890(a,2),2564(a,1,3))]. given #2373 (H,wt=17): 2566 L(x,y,K(z \ u,u)) = L(x,y,K(z \ u,z)). [para(1930(a,2),2565(a,2,3)),flip(a)]. given #2374 (H,wt=15): 2567 L(x,y,K(z \ u,u)) = L(x,y,K(u,z)). [hyper(306,a,2565,a(flip),b,2566,a),flip(a)]. given #2375 (H,wt=26): 1008 (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) != u | K(z,(x \ y) \ y) = u. [para(305(a,2),302(a,1,1))]. given #2376 (H,wt=26): 1019 (x * (T(x,y) \ x)) \ ((T(x,y) \ x) * z) = L(x \ z,x,T(x,y) \ x). [para(428(a,1),95(a,2,1)),flip(a)]. given #2377 (H,wt=26): 1095 L(x \ 1,x,T(x,y) * (z / x)) = (T(x,y) * z) \ ((T(x,y) * z) / x). [para(1094(a,1),467(a,1,3))]. given #2378 (H,wt=26): 1124 L((x * y) \ T(z,K(y,x)),x * y,K(y,x)) = (y * x) \ (z * K(y,x)). [para(354(a,1),533(a,2,1))]. given #2379 (H,wt=22): 2569 L((x * y) \ z,x * y,K(y,x)) = (y * x) \ (z * K(y,x)). [para(242(a,1),1124(a,1,1,2))]. given #2380 (H,wt=26): 1163 (x * (y * z)) \ (x * (y * (z * u))) != w | L(L(u,z,y),y * z,x) = w. [para(93(a,1),597(a,1,2,2))]. given #2381 (H,wt=26): 1275 (x * y) * R((x * y) \ x,z,u) != w | x * (y * R(y \ 1,z,u)) = w. [para(469(a,2),285(a,1,2))]. given #2382 (H,wt=26): 1278 (x * y) * L((x * y) \ x,z,u) != w | x * (y * L(y \ 1,z,u)) = w. [para(470(a,1),285(a,1,2))]. given #2383 (H,wt=26): 1287 (x * y) * T((x * y) \ (x * z),u) != w | x * (y * T(y \ z,u)) = w. [para(609(a,2),285(a,1,2))]. given #2384 (H,wt=26): 1317 ((x * y) * z) * R(T(x,y * z),y,z) = (x * y) * (y \ ((x * y) * z)). [para(745(a,1),114(a,1,2))]. given #2385 (H,wt=26): 1566 ((x * y) / x) * T(x,(x * z) / x) != u * w | u \ (T(x,z) * y) = w. [para(1558(a,2),633(a,1))]. given #2386 (H,wt=26): 1613 ((x * (y * z)) \ 1) / ((y \ 1) * (x \ 1)) = R(z \ 1,y \ 1,x \ 1). [para(515(a,1),560(a,1,1))]. given #2387 (H,wt=24): 2571 ((x * (y * z)) \ 1) / ((x * y) \ 1) = R(z \ 1,y \ 1,x \ 1). [para(515(a,1),1613(a,1,2))]. given #2388 (H,wt=22): 2572 ((x * y) \ (x * (y * z))) \ 1 = R(z \ 1,y \ 1,x \ 1). [hyper(563,a,2571,a)]. given #2389 (H,wt=17): 2573 R(x \ 1,y \ 1,z \ 1) = L(x,y,z) \ 1. [para(18(a,2),2572(a,1,1)),flip(a)]. given #2390 (H,wt=17): 2574 R(x,y \ 1,z \ 1) = L(x \ 1,y,z) \ 1. [para(326(a,1),2573(a,1,1))]. given #2391 (H,wt=21): 2575 (x * L(x \ 1,y,z)) \ 1 = x \ R(x,y \ 1,z \ 1). [para(2574(a,2),1362(a,2,2))]. given #2392 (H,wt=19): 2576 R(x,y \ 1,z \ 1) \ x = x * L(x \ 1,y,z). [hyper(40,a,1215,a,b,2575,a)]. given #2393 (H,wt=19): 2578 x * L(x \ 1,y,z \ 1) = R(x,y \ 1,z) \ x. [para(326(a,1),2576(a,1,1,3)),flip(a)]. given #2394 (H,wt=19): 2580 x * L(x \ 1,y \ 1,z \ 1) = R(x,y,z) \ x. [para(326(a,1),2578(a,2,1,2))]. given #2395 (H,wt=13): 2582 R(x,(y \ 1) \ 1,z) = R(x,y,z). [hyper(40,a,2578,a(flip),b,2580,a(flip))]. given #2396 (H,wt=17): 2581 L(x \ 1,y \ 1,z \ 1) = R(x,y,z) \ 1. [hyper(35,a,1448,a,b,2580,a),flip(a)]. given #2397 (H,wt=17): 2585 L(x,y \ 1,z \ 1) = R(x \ 1,y,z) \ 1. [para(326(a,1),2581(a,1,1))]. given #2398 (H,wt=19): 2586 x / L(x,y \ 1,z \ 1) = x * R(x \ 1,y,z). [para(2585(a,2),1567(a,1,2))]. given #2399 (H,wt=19): 2587 x / (x * R(x \ 1,y,z)) = L(x,y \ 1,z \ 1). [hyper(196,a,2586,a(flip),b,835,a(flip))]. given #2400 (H,wt=22): 2579 x \ y != y * L(y \ 1,z,u \ 1) | R(y,z \ 1,u) = x. [para(2578(a,2),49(a,1)),flip(a)]. given #2401 (H,wt=22): 2583 R(x,y,z) * (((y \ 1) \ 1) * z) = (x * ((y \ 1) \ 1)) * z. [hyper(120,a,2582,a(flip),b,20,a(flip))]. given #2402 (H,wt=25): 2588 (x * ((y \ 1) \ 1)) * z != u * (((y \ 1) \ 1) * z) | R(x,y,z) = u. [para(2583(a,1),45(a,1))]. given #2403 (H,wt=26): 1634 x \ (y * (K(z \ 1,z) * u)) != w | (x \ (y * u)) * K(v5 \ 1,v5) = w. [para(1326(a,1),1395(a,1,2))]. given #2404 (H,wt=26): 1960 K(x,y) * ((z * T(x,y)) \ K(x,y)) != u | (x \ 1) * (z \ K(x,y)) = u. [para(1934(a,2),672(a,1,2,1,2))]. given #2405 (H,wt=26): 2100 (T(x,y) * (T(x \ 1,y) * z)) \ (1 * z) = a(T(x,y),T(x,y) \ 1,z). [para(2071(a,2),83(a,1,1,2,1))]. given #2406 (H,wt=26): 2101 T(x \ 1,y) * R(T(x,y),z,u) != w | T(x,y) \ R(T(x,y),z,u) = w. [para(2071(a,2),1064(a,1,1))]. given #2407 (H,wt=26): 2240 (x * K(y \ 1,z)) * y != u * w | ((x * y) * K(y \ 1,z)) / w = u. [para(2237(a,1),311(a,1,2))]. given #2408 (H,wt=26): 2242 ((x * y) * K(y \ 1,z)) / (y * K(y \ 1,z)) = R(x,K(y \ 1,z),y). [hyper(119,a,2239,a(flip),b,623,a)]. given #2409 (H,wt=17): 2589 R(x,K(y \ 1,z),y) = R(x,y,K(y \ 1,z)). [hyper(621,a,2242,a),flip(a)]. given #2410 (H,wt=20): 2590 R(x,K(y \ 1,z),y) != u | R(x,y,K(y \ 1,z)) = u. [para(2242(a,1),621(a,1))]. given #2411 (H,wt=26): 2297 (1 / x) * (K(x,y) * z) != u * w | u \ (K(x,y) * ((1 / x) * z)) = w. [para(2294(a,1),633(a,1))]. given #2412 (H,wt=26): 2301 (x * y) * L(L(T(x \ 1,y),x,y),z,u) = (x * L(x \ 1,z,u)) * y. [para(997(a,2),2290(a,1,2,1))]. given #2413 (H,wt=26): 2303 T(K(x,y) * z,u) != K(x,y) * w | K(y,x) * T(K(y,x) \ z,u) = w. [para(2292(a,1),44(a,1))]. given #2414 (H,wt=26): 2315 ((x / y) * (y * L(x \ 1,z,x))) \ 1 = a(x / y,y,L(x \ 1,z,x)). [para(2309(a,1),84(a,1,2))]. given #2415 (H,wt=23): 2592 a(x / y,y,L(x \ 1,z,x)) = ((x / y) * (y * (x \ 1))) \ 1. [para(2308(a,1),2315(a,1,1,2,2)),flip(a)]. given #2416 (H,wt=23): 2593 a(x / y,y,L(x \ 1,z,x)) = (x * (y \ 1)) * ((x / y) \ 1). [hyper(306,a,547,a(flip),b,2592,a),flip(a)]. given #2417 (H,wt=21): 2595 a(x / y,y,L(x \ 1,z,x)) = (x / y) \ (x * (y \ 1)). [hyper(306,a,2427,a(flip),b,2593,a),flip(a)]. given #2418 (H,wt=18): 2596 (x / y) \ (x * (y \ 1)) = a(x / y,y,x \ 1). [para(441(a,1),2595(a,1,3)),flip(a)]. given #2419 (H,wt=26): 2365 (x * T(x \ y,z)) * u != x * w | u * T(u \ (x \ (y * u)),z) = w. [para(2300(a,1),44(a,1))]. given #2420 (H,wt=26): 2387 ((x * y) \ 1) \ (((x * K(z,u)) * y) \ 1) = L(K(u,z),x \ 1,y \ 1). [para(2268(a,1),559(a,1,2))]. given #2421 (H,wt=26): 2388 (x * (y * z)) \ ((x * T(y,z)) * T(z,y)) = a(x,T(y,z),T(z,T(y,z))). [para(894(a,2),918(a,2,3))]. given #2422 (H,wt=26): 2448 L(R(x \ 1,y,z),x,x \ u) * u = (x * R(x \ 1,y,z)) * (x \ u). [hyper(314,a,2431,a)]. given #2423 (H,wt=24): 2597 L(R(x \ 1,y,z),x,u) * u = (x * R(x \ 1,y,z)) * (x \ u). [para(1459(a,1),2448(a,1,1))]. given #2424 (H,wt=26): 2449 (((1 / x) * (y * x)) \ (y * x)) \ 1 = 1 / R(T(x,y),x \ 1,y * x). [para(1263(a,1),2446(a,1,2,1)),flip(a)]. given #2425 (H,wt=26): 2472 (x * y) \ (((x * y) / L(z,y,x)) * z) = ((x * (y * z)) / z) \ (x * y). [para(2463(a,1),732(a,1,1)),flip(a)]. given #2426 (H,wt=26): 2502 x * ((x * (T(x,y) \ x)) \ ((T(x,y) \ x) * z)) = L(z,T(x,y) \ x,x). [hyper(597,a,2501,a),flip(a)]. given #2427 (H,wt=21): 2602 x * L(x \ y,x,T(x,z) \ x) = L(y,T(x,z) \ x,x). [para(1019(a,1),2502(a,1,2))]. given #2428 (H,wt=26): 2568 L(x \ 1,x,T(x,y) * (z / x)) = (T(x,y) * z) \ (T(x,y) * (z / x)). [para(1094(a,1),1095(a,2,2))]. given #2429 (H,wt=26): 2570 (x * y) * T((x * y) \ z,u) != w | x * (y * T(y \ (x \ z),u)) = w. [para(10(a,1),1287(a,1,2,1,2))]. given #2430 (H,wt=27): 608 (x * (y * (z * u))) \ (x * ((y * z) * u)) = L(a(y,z,u),y * (z * u),x). [para(14(a,2),95(a,1,1)),flip(a)]. given #2431 (H,wt=27): 1081 K(a(x,y,z),x * (y * z)) * ((x * y) * z) = a(x,y,z) * (x * (y * z)). [hyper(121,a,81,a(flip),b,371,a)]. given #2432 (H,wt=27): 1629 (x * y) * ((z * ((x * y) \ u)) / z) = x * (y * ((z * (y \ (x \ u))) / z)). [para(293(a,1),1234(a,1,2,1,2))]. given #2433 (H,wt=27): 2229 (x * (K(y,x) * z)) * u != w * ((x * z) * u) | R(K(y,x),x * z,u) = w. [para(2212(a,1),620(a,1,1))]. given #2434 (H,wt=27): 2306 T(x,L(y \ (z \ y),u,w) * y) = T(x,(z * L(z \ 1,u,w)) * (z \ y)). [para(2299(a,2),1479(a,1,2)),flip(a)]. given #2435 (H,wt=27): 2353 (x \ 1) * (y * T(R(x,z,u),(x \ 1) * y)) = R(x,z,u) * ((x \ 1) * y). [para(2349(a,1),735(a,2,1))]. given #2436 (H,wt=27): 2354 (x \ 1) * (y * T(L(x,z,u),(x \ 1) * y)) = L(x,z,u) * ((x \ 1) * y). [para(2350(a,1),735(a,2,1))]. given #2437 (H,wt=27): 2395 x * ((x \ y) * ((z * ((x \ y) \ u)) / z)) = y * ((z * (y \ (x * u))) / z). [hyper(121,a,1236,a(flip),b,94,a),flip(a)]. given #2438 (H,wt=25): 2607 x * ((x \ y) * ((z * ((x \ y) \ 1)) / z)) = y * ((z * (y \ x)) / z). [para(8(a,1),2395(a,2,2,1,2,2))]. given #2439 (H,wt=19): 2608 x * K(y,(x \ z) \ 1) = z * ((y * (z \ x)) / y). [para(1769(a,1),2607(a,1,2))]. given #2440 (H,wt=19): 2610 x \ (y * ((z * (y \ x)) / z)) = K(z,(x \ y) \ 1). [hyper(125,a,2608,a)]. given #2441 (H,wt=21): 2609 x * ((x \ y) * K(z,x \ y)) = y * K(z,(y \ x) \ 1). [hyper(306,a,1743,a(flip),b,2608,a)]. given #2442 (H,wt=18): 2611 L(K(x,y \ z),y \ z,y) = K(x,(z \ y) \ 1). [hyper(1122,a,2609,a)]. given #2443 (H,wt=27): 2425 (x / y) \ L(x / y,y,y \ 1) != z \ 1 | (x * (y \ 1)) \ (x / y) = z. [para(2132(a,2),49(a,1))]. given #2444 (H,wt=27): 2525 (x * K(y,T(z,u))) * (K(w,T(v5,v6)) * v7) = (x * K(y,z)) * (K(w,v5) * v7). [para(1949(a,2),2500(a,1,2))]. given #2445 (H,wt=25): 2612 (K(x,y) * z) * (K(u,T(w,v5)) * v6) = (z * K(x,y)) * (K(u,w) * v6). [para(1813(a,1),2525(a,1,1))]. given #2446 (H,wt=27): 2527 ((x * y) * R((x * y) \ x,z,u)) * y = (x * y) * (y * R(y \ 1,z,u)). [hyper(64,a,1274,a(flip),b,2514,a),flip(a)]. given #2447 (H,wt=25): 2613 (x * (y * R(y \ 1,z,u))) * y = (x * y) * (y * R(y \ 1,z,u)). [para(1274(a,1),2527(a,1,1))]. given #2448 (H,wt=27): 2528 (x \ (y * x)) * R((x \ (y * x)) \ x,z,u) = T(y * R(y \ x,z,u),x). [hyper(230,a,2514,a(flip),b,1622,a),flip(a)]. given #2449 (H,wt=25): 2616 T(x,y) * R((y \ (x * y)) \ y,z,u) = T(x * R(x \ y,z,u),y). [para(22(a,2),2528(a,1,1))]. given #2450 (H,wt=23): 2617 T(x,y) * R(T(x,y) \ y,z,u) = T(x * R(x \ y,z,u),y). [para(22(a,2),2616(a,1,2,1,1))]. given #2451 (H,wt=27): 2536 x * ((x * y) * R((x * y) \ y,z,u)) = (x * R(x \ 1,z,u)) * (x * y). [hyper(64,a,1421,a(flip),b,2530,a)]. given #2452 (H,wt=25): 2619 (x * R(x \ 1,y,z)) * (x * u) = x * ((x * R(x \ 1,y,z)) * u). [para(2530(a,1),2536(a,1,2)),flip(a)]. given #2453 (H,wt=27): 2539 ((x / y) * R((x / y) \ 1,z,u)) * x = ((x / y) * x) * R(x \ y,z,u). [para(78(a,1),2537(a,1,2,1,2)),flip(a)]. given #2454 (H,wt=27): 2541 ((x * y) * L((x * y) \ x,z,u)) * y = (x * y) * (y * L(y \ 1,z,u)). [hyper(64,a,1277,a(flip),b,2515,a),flip(a)]. given #2455 (H,wt=25): 2623 (x * (y * L(y \ 1,z,u))) * y = (x * y) * (y * L(y \ 1,z,u)). [para(1277(a,1),2541(a,1,1))]. given #2456 (H,wt=27): 2605 (x \ 1) * (y * T(R(x,z,u),y * (x \ 1))) = R(x,z,u) * ((x \ 1) * y). [para(1479(a,1),2353(a,1,2,2))]. given #2457 (H,wt=27): 2606 (x \ 1) * (y * L(T(x,(x \ 1) * y),z,u)) = L(x,z,u) * ((x \ 1) * y). [para(25(a,2),2354(a,1,2,2))]. given #2458 (H,wt=23): 2624 (x \ 1) * (y * L(T(x,y),z,u)) = L(x,z,u) * ((x \ 1) * y). [para(1260(a,1),2606(a,1,2,2,1))]. given #2459 (H,wt=21): 2625 L(x,y,z) * ((x \ 1) * u) = (x \ 1) * (L(x,y,z) * u). [para(228(a,1),2624(a,1,2)),flip(a)]. given #2460 (H,wt=24): 2627 x * ((x \ 1) * (L(x,y,z) * u)) = L(x,y,z) * L(u,x,x \ 1). [para(2625(a,1),2332(a,1,2))]. given #2461 (H,wt=23): 2628 L(L(x,y,z) * u,x,x \ 1) = L(x,y,z) * L(u,x,x \ 1). [hyper(2359,a,2627,a)]. given #2462 (H,wt=25): 2626 ((1 / x) \ 1) * (L(1 / x,y,z) * u) = L(1 / x,y,z) * (x * u). [para(78(a,1),2625(a,1,2,1)),flip(a)]. given #2463 (H,wt=25): 2630 ((1 / x) \ 1) * (L(1 / x,y,z) * u) = L(x \ 1,y,z) * (x * u). [para(325(a,1),2626(a,2,1,1))]. given #2464 (H,wt=21): 2631 L(x \ 1,y,z) * (x * u) = x * (L(1 / x,y,z) * u). [hyper(716,a,2630,a),flip(a)]. given #2465 (H,wt=21): 2633 L(x \ 1,y,z) * (x * u) = x * (L(x \ 1,y,z) * u). [para(325(a,1),2631(a,2,2,1,1))]. given #2466 (H,wt=26): 2634 (x \ y) * (L((x \ y) \ 1,x \ y,x) * z) = (y \ x) * ((x \ y) * z). [para(462(a,1),2633(a,1,1)),flip(a)]. given #2467 (H,wt=19): 2635 (x \ y) * ((y \ x) * z) = (y \ x) * ((x \ y) * z). [para(462(a,1),2634(a,1,2,1))]. given #2468 (H,wt=23): 2637 ((x * y) \ x) * ((x \ (x * y)) * z) = y * (((x * y) \ x) * z). [para(9(a,1),2635(a,1,1)),flip(a)]. given #2469 (H,wt=23): 2638 ((x * y) \ x) * ((x \ (x * y)) * z) = y * ((x \ (x / y)) * z). [para(320(a,1),2637(a,2,2,1))]. given #2470 (H,wt=23): 2639 (x \ (x / y)) * ((x \ (x * y)) * z) = y * ((x \ (x / y)) * z). [para(320(a,1),2638(a,1,1))]. given #2471 (H,wt=19): 2640 (x \ (x / y)) * (y * z) = y * ((x \ (x / y)) * z). [para(9(a,1),2639(a,1,2,1))]. given #2472 (H,wt=21): 2641 x * ((y \ (y / x)) * T(z,x)) = (y \ (y / x)) * (z * x). [hyper(668,a,2640,a),flip(a)]. given #2473 (H,wt=27): 2622 ((x / y) * R((x / y) \ 1,z,u)) * x = (x * (y \ x)) * R(x \ y,z,u). [para(398(a,1),2539(a,2,1))]. given #2474 (H,wt=27): 2636 T((x \ y) \ ((y \ x) * z),y \ x) = (y \ x) * T((x \ y) \ z,y \ x). [hyper(1690,a,2635,a)]. given #2475 (H,wt=27): 2642 ((x * (y \ x)) * R(x \ y,z,u)) / x = (x / y) * R((x / y) \ 1,z,u). [hyper(132,a,2622,a)]. given #2476 (H,wt=27): 2643 x / ((x / R(x \ y,z,u)) * (x \ y)) = (x / y) * R((x / y) \ 1,z,u). [hyper(1305,a,2642,a)]. given #2477 (H,wt=23): 2644 (x / y) * R((x / y) \ 1,z,u) = x / (R(y / x,z,u) \ y). [para(1641(a,1),2643(a,1,2)),flip(a)]. given #2478 (H,wt=21): 2645 (x / (R(y / x,z,u) \ y)) * y = x * R(x \ y,z,u). [hyper(120,a,2644,a(flip),b,2488,a(flip))]. given #2479 (H,wt=28): 1011 (x * (y * (z * K(u,w)))) \ ((x * y) * (K(u,w) * z)) = a(x,y,z * K(u,w)). [para(360(a,2),14(a,2,2)),flip(a)]. given #2480 (H,wt=28): 1085 (x * (y * z)) \ ((x * (y * z)) / a(x,y,z)) = ((x * y) * z) \ (x * (y * z)). [para(81(a,1),320(a,1,1)),flip(a)]. given #2481 (H,wt=28): 1170 ((x * (y \ L(y,z,u))) * y) / L(y,z,u) != w | R(x,y \ L(y,z,u),y) = w. [para(423(a,1),621(a,1,2))]. given #2482 (H,wt=28): 1412 (x * (T(y,x) * T(z,y * x))) \ (z * (y * x)) = a(x,T(y,x),T(z,y * x)). [para(106(a,1),221(a,1,2))]. given #2483 (H,wt=27): 2647 (L(x,T(y,z),z) * (y * z)) \ (x * (y * z)) = a(z,T(y,z),T(x,y * z)). [para(1285(a,1),1412(a,1,1))]. given #2484 (H,wt=28): 1683 (x * y) * R((x * y) \ (x * z),u,w) != v5 | x * (y * R(y \ z,u,w)) = v5. [para(95(a,1),1153(a,1,2,1))]. given #2485 (H,wt=28): 1684 (x * y) * R((x * y) \ z,u,w) != v5 | x * (y * R(y \ (x \ z),u,w)) = v5. [para(293(a,1),1153(a,1,2,1))]. given #2486 (H,wt=28): 1748 ((x * y) * z) * a(z * K(x * y,z),x,y) = ((z * K(x * y,z)) * x) * y. [hyper(120,a,1729,a(flip),b,184,a)]. given #2487 (H,wt=25): 2648 ((x * y) * z) * a(z * K(x * y,z),x,y) = (x * y) * R(z,x,y). [hyper(306,a,1739,a(flip),b,1748,a),flip(a)]. given #2488 (H,wt=28): 1929 T(x * y,z) * a(K(x * y,z),y,T(x,y)) = (K(x * y,z) * y) * T(x,y). [para(1893(a,2),1083(a,1,1))]. given #2489 (H,wt=28): 2155 (x \ ((x \ 1) \ y)) \ (((x \ 1) * x) \ y) = a(x \ ((x \ 1) \ y),x,x \ 1). [para(293(a,1),2137(a,1,2))]. given #2490 (H,wt=24): 2650 a(x \ ((x \ 1) \ y),x,x \ 1) = (x \ ((x \ 1) \ y)) \ (1 \ y). [para(327(a,1),2155(a,1,2,1)),flip(a)]. given #2491 (H,wt=22): 2651 a(x \ ((x \ 1) \ y),x,x \ 1) = (x \ ((x \ 1) \ y)) \ y. [para(66(a,1),2650(a,2,2))]. given #2492 (H,wt=28): 2228 R(x,y,z) * (K(u,R(x,y,z)) * (y * z)) = K(u,R(x,y,z)) * ((x * y) * z). [para(102(a,1),2212(a,1,2)),flip(a)]. given #2493 (H,wt=28): 2321 (x / (y \ 1)) \ L(x / (y \ 1),y,y \ 1) = ((x * y) \ (x / (y \ 1))) \ 1. [para(2318(a,1),1225(a,1,1,1)),flip(a)]. given #2494 (H,wt=28): 2367 ((x \ 1) * (x * (y \ (x \ 1)))) / (y \ (x \ 1)) = y * L(y \ 1,x,x \ 1). [para(2325(a,1),2304(a,1,1,2))]. given #2495 (H,wt=27): 2653 L(x \ (y \ 1),y,y \ 1) / (x \ (y \ 1)) = x * L(x \ 1,y,y \ 1). [para(714(a,1),2367(a,1,1))]. given #2496 (H,wt=21): 2654 a(x \ (y \ 1),y,y \ 1) = x * L(x \ 1,y,y \ 1). [hyper(2191,a,2653,a)]. given #2497 (H,wt=20): 2655 a(x \ (y \ 1),y,y \ 1) = x * (y * ((x * y) \ 1)). [para(2333(a,1),2654(a,2,2))]. given #2498 (H,wt=17): 2656 a(x \ (y \ 1),y,y \ 1) = a(y,y \ 1,x). [hyper(306,a,2337,a(flip),b,2655,a),flip(a)]. given #2499 (H,wt=28): 2534 x * R(x \ T(y,x),z,u) != w * v5 | w \ T(x * R(x \ y,z,u),x) = v5. [para(2533(a,1),482(a,1,2))]. given #2500 (H,wt=28): 2538 (x * y) * R((x * y) \ y,z,u) != y * w | T(x * R(x \ 1,z,u),y) = w. [para(2530(a,2),231(a,2)),flip(a)]. given #2501 (H,wt=28): 2547 x * L(x \ T(y,x),z,u) != w * v5 | w \ T(x * L(x \ y,z,u),x) = v5. [para(2546(a,1),482(a,1,2))]. given #2502 (H,wt=28): 2549 L((x \ y) \ 1,z,u) != ((x \ y) \ 1) * w | x \ (y * L(y \ x,z,u)) = w. [para(2521(a,1),44(a,1))]. given #2503 (H,wt=28): 2591 (x * y) * L(L(T(x \ 1,x * y),x,y),z,u) = (x * L(x \ 1,z,u)) * y. [para(1264(a,2),2301(a,1,2,1,1))]. given #2504 (H,wt=28): 2649 ((x * y) * z) * u != (x * y) * R(z,x,y) | a(z * K(x * y,z),x,y) = u. [para(2648(a,1),44(a,1)),flip(a)]. given #2505 (H,wt=28): 2657 (x * y) * L(T(L(x \ 1,x,y),x * y),z,u) = (x * L(x \ 1,z,u)) * y. [para(25(a,1),2591(a,1,2,1))]. given #2506 (H,wt=24): 2658 L(L(x \ 1,x,y),z,u) * (x * y) = (x * L(x \ 1,z,u)) * y. [hyper(484,a,2657,a)]. given #2507 (H,wt=29): 1079 (R(x,y,z) * ((x \ 1) * u)) \ ((x \ R(x,y,z)) * u) = a(R(x,y,z),x \ 1,u). [para(1073(a,1),14(a,2,2,1)),flip(a)]. given #2508 (H,wt=29): 1164 (T(x,x \ y) * z) \ (((x \ y) \ y) * (z * u)) != w | L(u,z,T(x,x \ y)) = w. [para(305(a,1),597(a,1,2))]. given #2509 (H,wt=29): 1273 (x * y) * R((y * T(x,y)) \ y,z,u) = y * (T(x,y) * R(T(x,y) \ 1,z,u)). [hyper(121,a,469,a,b,223,a)]. given #2510 (H,wt=27): 2660 x * (T(y,x) * R(T(y,x) \ 1,z,u)) = (y * x) * R((y * x) \ x,z,u). [para(106(a,1),1273(a,1,2,1,1)),flip(a)]. given #2511 (H,wt=23): 2661 T(x,y) * R(T(x,y) \ 1,z,u) = T(x * R(x \ 1,z,u),y). [hyper(230,a,2530,a(flip),b,2660,a),flip(a)]. given #2512 (H,wt=23): 2662 T(x,y) * R(x \ K(y,x),z,u) = T(x * R(x \ 1,z,u),y). [para(1803(a,1),2661(a,1,2,1))]. given #2513 (H,wt=23): 2663 T(x,y) * R(T(x \ 1,y),z,u) = T(x * R(x \ 1,z,u),y). [para(2071(a,2),2661(a,1,2,1))]. given #2514 (H,wt=27): 2664 T(x * R(x \ 1,y \ 1,z \ 1),u) = T(x,u) * (L(T(x,u),y,z) \ 1). [para(2573(a,1),2661(a,1,2)),flip(a)]. given #2515 (H,wt=25): 2666 T(x * R(x \ 1,y \ 1,z \ 1),u) = L(T(x,u),y,z) \ T(x,u). [hyper(306,a,1199,a(flip),b,2664,a),flip(a)]. given #2516 (H,wt=21): 2667 T(x * (L(x,y,z) \ 1),u) = L(T(x,u),y,z) \ T(x,u). [para(2573(a,1),2666(a,1,1,2))]. given #2517 (H,wt=19): 2668 L(T(x,y),z,u) \ T(x,y) = T(L(x,z,u) \ x,y). [para(1199(a,1),2667(a,1,1)),flip(a)]. given #2518 (H,wt=23): 2669 L(T(x,y),z,u) \ T(x,x * y) = T(L(x,z,u) \ x,x * y). [para(414(a,1),2668(a,1,1,1))]. given #2519 (H,wt=21): 2671 T(L(x,y,z) \ x,x * u) = L(T(x,u),y,z) \ T(x,u). [para(414(a,1),2669(a,1,2)),flip(a)]. given #2520 (H,wt=19): 2672 T(L(x,y,z) \ x,x * u) = T(L(x,y,z) \ x,u). [hyper(306,a,2668,a(flip),b,2671,a),flip(a)]. given #2521 (H,wt=27): 2665 T((1 / x) * R((1 / x) \ 1,y,z),u) = T(1 / x,u) * R(T(x,u),y,z). [para(78(a,1),2663(a,1,2,1,1)),flip(a)]. given #2522 (H,wt=27): 2673 T((1 / x) * R((1 / x) \ 1,y,z),u) = T(x \ 1,u) * R(T(x,u),y,z). [para(325(a,1),2665(a,2,1,1))]. given #2523 (H,wt=25): 2674 T((1 / x) * R((1 / x) \ 1,y,z),u) = T(x,u) \ R(T(x,u),y,z). [hyper(306,a,2097,a(flip),b,2673,a),flip(a)]. given #2524 (H,wt=25): 2675 T((x \ 1) * R((1 / x) \ 1,y,z),u) = T(x,u) \ R(T(x,u),y,z). [para(325(a,1),2674(a,1,1,1))]. given #2525 (H,wt=25): 2676 T((x \ 1) * R((x \ 1) \ 1,y,z),u) = T(x,u) \ R(T(x,u),y,z). [para(325(a,1),2675(a,1,1,2,1,1))]. given #2526 (H,wt=19): 2677 T(x,y) \ R(T(x,y),z,u) = T(x \ R(x,z,u),y). [para(1440(a,1),2676(a,1,1)),flip(a)]. given #2527 (H,wt=21): 2678 T(x \ 1,y) * R(T(x,y),z,u) = T(x \ R(x,z,u),y). [hyper(64,a,2097,a,b,2677,a)]. given #2528 (H,wt=29): 1631 L((x \ ((y \ 1) \ z)) * x,y \ 1,y) != u * w | u \ ((x \ (y * z)) * x) = w. [para(1250(a,2),633(a,1))]. given #2529 (H,wt=29): 1640 x * (((x * y) * R(x \ (x / y),z,u)) \ x) = (x / y) / R(x \ (x / y),z,u). [hyper(1304,a,1639,a)]. given #2530 (H,wt=27): 2679 x * ((x * (y * R(y \ 1,z,u))) \ x) = (x / y) / R(x \ (x / y),z,u). [para(1280(a,1),1640(a,1,2,1))]. given #2531 (H,wt=26): 2680 (x / y) / R(x \ (x / y),z,u) != w | x / (y * R(y \ 1,z,u)) = w. [para(2679(a,1),382(a,1))]. given #2532 (H,wt=23): 2681 R((x / y) / x,z,u) \ (x / y) = x / (y * R(y \ 1,z,u)). [hyper(2680,a,1211,a),flip(a)]. given #2533 (H,wt=23): 2682 R(x / (x * y),z,u) \ (x / y) = x / (y * R(y \ 1,z,u)). [para(394(a,1),2681(a,1,1,1))]. given #2534 (H,wt=29): 2396 (x * y) * L((x * y) \ (y * z),u,w) = y * (T(x,y) * L(T(x,y) \ z,u,w)). [para(610(a,1),1257(a,1,2,1))]. given #2535 (H,wt=23): 2683 T(x,y) * L(T(x,y) \ y,z,u) = T(x * L(x \ y,z,u),y). [hyper(230,a,2515,a(flip),b,2396,a(flip)),flip(a)]. given #2536 (H,wt=23): 2684 T(x,y) * L(x \ T(y,x),z,u) = T(x * L(x \ y,z,u),y). [para(971(a,1),2683(a,1,2,1))]. given #2537 (H,wt=23): 2685 T(T(x,y) * L(x \ y,z,u),x) = T(x * L(x \ y,z,u),y). [hyper(64,a,2548,a,b,2684,a)]. given #2538 (H,wt=27): 2686 T(x * L(x \ (x * y),z,u),x * y) = T(T(x,x * y) * L(y,z,u),x). [para(9(a,1),2685(a,1,1,2,1)),flip(a)]. given #2539 (H,wt=23): 2687 T(T(x,x * y) * L(y,z,u),x) = T(x * L(y,z,u),x * y). [para(9(a,1),2686(a,1,1,2,1)),flip(a)]. given #2540 (H,wt=19): 2688 T(x * L(y,z,u),x * y) = L(y,z,u) * T(x,y). [hyper(1559,a,2687,a),flip(a)]. given #2541 (H,wt=26): 2689 (x * L(y,z,u)) \ (L(y,z,u) * T(x,y)) = K(x * L(y,z,u),x * y). [hyper(118,a,2688,a(flip),b,1892,a(flip))]. given #2542 (H,wt=26): 2690 T(x * L(y,z,u),x * y) != w * v5 | w \ (L(y,z,u) * T(x,y)) = v5. [para(2688(a,2),633(a,1))]. given #2543 (H,wt=29): 2403 (x * y) * R((x * y) \ (y * z),u,w) = y * (T(x,y) * R(T(x,y) \ z,u,w)). [hyper(121,a,1288,a(flip),b,223,a)]. given #2544 (H,wt=29): 2491 (x / (y * x)) * R((x / (y * x)) \ 1,z,u) = (x * R(T(y,x),z,u)) / (y * x). [para(22(a,2),2488(a,2,1,2,1))]. given #2545 (H,wt=29): 2492 ((x \ y) / y) * R(((x \ y) / y) \ 1,z,u) = ((x \ y) * R(T(x,y),z,u)) / y. [para(403(a,2),2488(a,2,1,2,1))]. given #2546 (H,wt=29): 2618 T(x,x * y) * R(T(x,x * y) \ (x * y),z,u) = T(x * R(y,z,u),x * y). [para(9(a,1),2617(a,2,1,2,1))]. given #2547 (H,wt=27): 2695 T(x,x * y) * R(x \ T(x * y,x),z,u) = T(x * R(y,z,u),x * y). [para(971(a,1),2618(a,1,2,1))]. given #2548 (H,wt=27): 2696 T(T(x,x * y) * R(x \ (x * y),z,u),x) = T(x * R(y,z,u),x * y). [hyper(64,a,2535,a,b,2695,a)]. given #2549 (H,wt=23): 2697 T(T(x,x * y) * R(y,z,u),x) = T(x * R(y,z,u),x * y). [para(9(a,1),2696(a,1,1,2,1))]. given #2550 (H,wt=19): 2698 T(x * R(y,z,u),x * y) = R(y,z,u) * T(x,y). [hyper(1559,a,2697,a),flip(a)]. given #2551 (H,wt=26): 2699 (x * R(y,z,u)) / (R(y,z,u) * T(x,y)) = K(x * y,x * R(y,z,u)). [hyper(196,a,2698,a(flip),b,1785,a(flip))]. given #2552 (H,wt=29): 2670 L(T(L(x,y,z) \ x,u),L(T(x,u),y,z),u) = (u * L(T(x,u),y,z)) \ (x * u). [para(2668(a,1),533(a,1,1))]. given #2553 (H,wt=29): 2691 (x * L(y,z,u)) \ (L(y,z,u) * T(x,y)) != w | K(x * L(y,z,u),x * y) = w. [para(2688(a,1),1913(a,1,2))]. given #2554 (H,wt=29): 2693 (x \ (x / y)) * R((x / (y * x)) \ 1,z,u) = (x * R(T(y,x),z,u)) / (y * x). [para(879(a,1),2491(a,1,1))]. given #2555 (H,wt=29): 2694 (x \ (x / y)) * R(((y \ x) / x) \ 1,z,u) = ((y \ x) * R(T(y,x),z,u)) / x. [para(834(a,1),2492(a,1,1))]. given #2556 (H,wt=29): 2700 (x * R(y,z,u)) / (R(y,z,u) * T(x,y)) != w | K(x * y,x * R(y,z,u)) = w. [para(2698(a,1),1796(a,1,2))]. given #2557 (H,wt=29): 2701 (x \ (x / y)) * R((x \ (x / y)) \ 1,z,u) = (x * R(T(y,x),z,u)) / (y * x). [para(879(a,1),2693(a,1,2,1,1))]. given #2558 (H,wt=27): 2703 (x \ (x / y)) * R((x \ (x / y)) \ 1,z,u) = (R(y,z,u) * x) / (y * x). [para(229(a,1),2701(a,2,1))]. given #2559 (H,wt=29): 2702 (x \ (x / y)) * R((x \ (x / y)) \ 1,z,u) = ((y \ x) * R(T(y,x),z,u)) / x. [para(834(a,1),2694(a,1,2,1,1))]. given #2560 (H,wt=23): 2704 ((x \ y) * R(T(x,y),z,u)) / y = (R(x,z,u) * y) / (x * y). [hyper(64,a,2703,a(flip),b,2702,a),flip(a)]. given #2561 (H,wt=21): 2705 (R(x,y,z) * (x \ u)) / u = (R(x,y,z) * u) / (x * u). [para(752(a,1),2704(a,1,1))]. given #2562 (H,wt=21): 2706 (R(x,y,z) * u) / (x * u) = u / (x * (R(x,y,z) \ u)). [hyper(731,a,2705,a),flip(a)]. given #2563 (H,wt=24): 2707 (R(x,y,z) * u) / (x * u) != w | u / (x * (R(x,y,z) \ u)) = w. [para(2705(a,1),731(a,1))]. given #2564 (H,wt=30): 1165 (x * (y * (z * u))) \ (x * ((y * z) * u)) != w | L(a(y,z,u),y * (z * u),x) = w. [para(81(a,1),597(a,1,2,2))]. given #2565 (H,wt=30): 1286 L(T(L(x,y,z) \ u,w),L(x,y,z),z * y) = T((z * (y * x)) \ ((z * y) * u),w). [para(93(a,1),609(a,1,1,1)),flip(a)]. given #2566 (H,wt=30): 1289 ((x * R(y / z,z,u)) / x) * (z * u) = (z * u) * ((x * ((z * u) \ (y * u))) / x). [para(629(a,1),1023(a,1,2,1,2)),flip(a)]. given #2567 (H,wt=27): 2709 (x * y) * ((z * ((x * y) \ (u * y))) / z) = (((z * (u / x)) / z) * x) * y. [hyper(1237,a,1289,a),flip(a)]. given #2568 (H,wt=27): 2710 (((x * ((y / z) / u)) / x) * u) * z = (u * z) * ((x * ((u * z) \ y)) / x). [para(12(a,1),2709(a,1,2,1,2,2)),flip(a)]. given #2569 (H,wt=23): 2712 (x * y) * ((x * ((x * y) \ z)) / x) = (x * ((z / y) / x)) * y. [hyper(309,a,2710,a),flip(a)]. given #2570 (H,wt=26): 2713 (x * y) * ((x * ((x * y) \ z)) / x) != u | (x * ((z / y) / x)) * y = u. [para(2710(a,1),309(a,1))]. given #2571 (H,wt=27): 2711 (x * y) * ((z * ((x * y) \ (u * y))) / z) = (x * ((z * (x \ u)) / z)) * y. [para(1213(a,1),2709(a,2,1))]. given #2572 (H,wt=27): 2714 x * (y * ((z * (y \ (x \ (u * y)))) / z)) = (x * ((z * (x \ u)) / z)) * y. [hyper(64,a,1629,a(flip),b,2711,a)]. given #2573 (H,wt=23): 2715 (x * ((y * (x \ z)) / y)) * y = x * (y * ((x \ (z * y)) / y)). [para(10(a,1),2714(a,1,2,2,1)),flip(a)]. given #2574 (H,wt=30): 2171 (x * (y * z)) * T((x * (y * z)) \ (x * y),u) = (x * y) * K(L(z,y,x) \ 1,u). [para(18(a,2),1985(a,2,2,1,1))]. given #2575 (H,wt=26): 2717 (x * y) * K(L(z,y,x) \ 1,u) = x * ((y * z) * T((y * z) \ y,u)). [hyper(1287,a,2171,a),flip(a)]. given #2576 (H,wt=22): 2718 (x * y) * K(L(z,y,x) \ 1,u) = x * (y * K(z \ 1,u)). [para(1991(a,1),2717(a,2,2))]. given #2577 (H,wt=17): 2719 L(K(x \ 1,y),z,u) = K(L(x,z,u) \ 1,y). [hyper(595,a,2718,a)]. given #2578 (H,wt=17): 2720 K(L(1 / x,y,z) \ 1,u) = L(K(x,u),y,z). [para(78(a,1),2719(a,1,1,1)),flip(a)]. given #2579 (H,wt=14): 2723 T(x,y * L(K(z,u),w,v5)) = T(x,y). [para(2720(a,1),1478(a,1,2,2))]. given #2580 (H,wt=14): 2724 K(x * L(K(y,z),u,w),v5) = K(x,v5). [para(2720(a,1),1850(a,1,1,2))]. given #2581 (H,wt=14): 2725 K(x,y * L(K(z,u),w,v5)) = K(x,y). [para(2720(a,1),1993(a,1,2,2))]. given #2582 (H,wt=14): 2726 K(x,L(K(y,z),u,w) * v5) = K(x,v5). [para(2720(a,1),1996(a,1,2,1))]. given #2583 (H,wt=15): 2727 T(x,y * (z * K(u,w))) = T(x,y * z). [para(93(a,1),2723(a,1,2))]. given #2584 (H,wt=15): 2728 K(x * (y * K(z,u)),w) = K(x * y,w). [para(93(a,1),2724(a,1,1))]. given #2585 (H,wt=15): 2729 K(x,y * (z * K(u,w))) = K(x,y * z). [para(93(a,1),2725(a,1,2))]. given #2586 (H,wt=15): 2730 K(x,y * (K(z,u) * w)) = K(x,y * w). [para(1306(a,1),2726(a,1,2))]. given #2587 (H,wt=15): 2731 T(x,y * (z / u)) = T(x,y * (u \ z)). [para(1733(a,1),2727(a,1,2,2))]. given #2588 (H,wt=15): 2734 T(x,(y / z) * u) = T(x,u * (z \ y)). [hyper(1529,a,2731,a)]. given #2589 (H,wt=17): 2721 K(L(x \ 1,y,z) \ 1,u) = L(K(x,u),y,z). [para(326(a,1),2719(a,1,1,1)),flip(a)]. given #2590 (H,wt=15): 2736 K(x,L(y \ 1,z,u)) = L(K(y,x),z,u). [hyper(2077,a,2721,a)]. given #2591 (H,wt=17): 2732 T(x,y * (T(z,u) * w)) = T(x,y * (z * w)). [para(2167(a,1),2727(a,1,2,2))]. given #2592 (H,wt=17): 2733 K(x * (y \ T(z,u)),w) = K(x * (y \ z),w). [para(2169(a,1),2728(a,1,1,2))]. given #2593 (H,wt=19): 2737 K(x,L(y \ 1,z,u) \ 1) = L(K(y,x),z,u) \ 1. [para(2721(a,1),1992(a,1,1)),flip(a)]. given #2594 (H,wt=19): 2741 K(x * (y \ (z / u)),w) = K(x * (y \ (u \ z)),w). [para(108(a,1),2733(a,1,1,2,2)),flip(a)]. given #2595 (H,wt=21): 2722 L(T(K(x,y),z),u,w) = K(L(T(1 / x,v5),u,w) \ 1,y). [para(1877(a,2),2719(a,1,1))]. given #2596 (H,wt=22): 2738 L(K(x,y),z,u) \ 1 != w | K(y,L(x \ 1,z,u) \ 1) = w. [para(2721(a,1),2178(a,1,1))]. given #2597 (H,wt=23): 2739 T(x,y * (T(z \ 1,u) * (w \ 1))) = T(x,y * ((w * z) \ 1)). [para(515(a,1),2732(a,2,2,2))]. given #2598 (H,wt=21): 2743 T(x,y * ((z * T(u,w)) \ 1)) = T(x,y * ((z * u) \ 1)). [para(2098(a,1),2739(a,1,2,2))]. given #2599 (H,wt=23): 2740 T(x,y * (((z / u) \ 1) * w)) = T(x,y * (((u \ z) \ 1) * w)). [para(1159(a,1),2732(a,1,2,2,1))]. given #2600 (H,wt=24): 2742 L(T(K(x,y),z),u,K(x,w)) = K(T(1 / x,K(x,w) * u) \ 1,y). [para(2513(a,1),2722(a,2,1,1))]. given #2601 (H,wt=16): 2744 T(K(x,y),z) = L(T(K(x,y),u),w,K(x,v5)). [hyper(306,a,1877,a,b,2742,a)]. given #2602 (H,wt=12): 2745 L(K(x,y),z,K(x,u)) = K(x,y). [hyper(141,a,2744,a)]. given #2603 (H,wt=12): 2748 L(K(x,y),z,K(u,x)) = K(x,y). [para(1909(a,1),2745(a,1,3))]. given #2604 (H,wt=17): 2749 K(x,y) * (K(x,z) * T(y,x)) = K(x,z) * y. [para(2745(a,1),1793(a,1,1)),flip(a)]. given #2605 (H,wt=15): 2752 T(K(x,y) * z,x) = K(x,y) * T(z,x). [hyper(2173,a,2749,a)]. given #2606 (H,wt=15): 2753 K(x,y) * T(K(x,y) \ z,y) = T(z,y). [hyper(2303,a,2752,a)]. given #2607 (H,wt=15): 2754 K(x,y) * T(K(x,y) \ z,x) = T(z,x). [para(10(a,1),2752(a,1,1)),flip(a)]. given #2608 (H,wt=15): 2755 T(x * K(y,z),y) = T(x,y) * K(y,z). [para(2753(a,1),2366(a,1,1)),flip(a)]. given #2609 (H,wt=17): 2756 T((x / y) * K(y,z),y) = (y \ x) * K(y,z). [para(108(a,1),2755(a,2,1))]. given #2610 (H,wt=19): 2747 (K(x,y) * (K(x,z) * u)) / (K(x,y) * u) = K(x,z). [hyper(64,a,1315,a,b,2745,a)]. given #2611 (H,wt=19): 2750 (K(x,y) * z) * K(y,u) = K(x,y) * (z * K(y,u)). [hyper(121,a,2748,a(flip),b,18,a(flip))]. given #2612 (H,wt=12): 2759 L(K(x,y),z,K(y,u)) = K(x,y). [hyper(1648,a,2750,a)]. given #2613 (H,wt=19): 2751 K(x,y) * (K(z,x) * u) = K(z,x) * (K(x,y) * u). [hyper(120,a,2748,a(flip),b,1315,a)]. given #2614 (H,wt=20): 2757 T((x / y) * K(y,z),y) != u * K(y,z) | y \ x = u. [para(2756(a,2),45(a,1))]. given #2615 (H,wt=22): 2758 (K(x,y) * (K(x,z) * u)) / w != K(x,z) | K(x,y) * u = w. [para(2747(a,1),46(a,1)),flip(a)]. given #2616 (H,wt=30): 2352 (L(x,y,z) \ 1) * (u * T(x,(L(x,y,z) \ 1) * u)) = x * ((L(x,y,z) \ 1) * u). [para(2348(a,1),735(a,2,1))]. given #2617 (H,wt=30): 2520 L(x \ L(y \ (y * x),z,u),x,y) = ((y * x) \ y) * L(((y * x) \ y) \ 1,z,u). [hyper(306,a,95,a,b,2519,a)]. given #2618 (H,wt=30): 2531 (x * y) * R((x * y) \ (z * y),u,w) != y * v5 | T(x * R(x \ z,u,w),y) = v5. [para(2514(a,2),231(a,2)),flip(a)]. given #2619 (H,wt=30): 2543 (x * y) * L((x * y) \ (z * y),u,w) != y * v5 | T(x * L(x \ z,u,w),y) = v5. [para(2515(a,2),231(a,2)),flip(a)]. given #2620 (H,wt=30): 2604 T(x,(y * L(y \ 1,z,u)) * (y \ w)) != v5 | T(x,w * L(w \ (y \ w),z,u)) = v5. [para(2306(a,1),1529(a,1))]. given #2621 (H,wt=30): 2716 ((x * y) * ((z * ((x * y) \ x)) / z)) * z = (x * y) * (z * (L(y \ z,y,x) / z)). [para(95(a,2),2715(a,2,2,2,1))]. given #2622 (H,wt=24): 2761 (x * y) * (z * (L(y \ z,y,x) / z)) = (x * K(z,y \ 1)) * z. [para(2482(a,1),2716(a,1,1)),flip(a)]. given #2623 (H,wt=24): 2762 (x * y) * L(z * ((y \ z) / z),y,x) = (x * K(z,y \ 1)) * z. [para(1222(a,2),2761(a,1,2))]. given #2624 (H,wt=21): 2763 x * (y * (z * ((y \ z) / z))) = (x * K(z,y \ 1)) * z. [hyper(285,a,2762,a)]. given #2625 (H,wt=17): 2764 (x * K(y,z \ 1)) * y = x * T(y,z \ 1). [para(2108(a,1),2763(a,1,2)),flip(a)]. given #2626 (H,wt=10): 2765 R(x,K(y,z \ 1),y) = x. [hyper(1920,a,2764,a)]. given #2627 (H,wt=8): 2767 R(x,K(y,z),z) = x. [para(2072(a,1),2765(a,1,2))]. given #2628 (H,wt=10): 2768 R(x,K(y \ 1,z),y) = x. [para(2074(a,2),2767(a,1,2))]. given #2629 (H,wt=10): 2769 R(x,y,K(y \ 1,z)) = x. [hyper(2590,a,2768,a)]. given #2630 (H,wt=8): 2771 R(x,y,K(z,y)) = x. [para(2074(a,1),2769(a,1,3))]. given #2631 (H,wt=8): 2772 L(x,y,K(z,y)) = x. [hyper(64,a,1647,a(flip),b,2771,a)]. given #2632 (H,wt=8): 2776 R(x,y,K(y,z)) = x. [para(1930(a,1),2771(a,1,3))]. given #2633 (H,wt=8): 2777 L(x,y,K(y,z)) = x. [hyper(64,a,2567,a(flip),b,2772,a)]. given #2634 (H,wt=10): 2775 R(x,y * z,K(z,y)) = x. [para(1809(a,1),2771(a,1,3))]. given #2635 (H,wt=10): 2778 L(x,T(y,z),K(u,y)) = x. [hyper(64,a,2562,a(flip),b,2772,a)]. given #2636 (H,wt=10): 2779 L(x,y,T(y,z) \ y) = x. [para(1787(a,1),2772(a,1,3))]. given #2637 (H,wt=10): 2780 L(x,y * z,K(z,y)) = x. [para(1809(a,1),2772(a,1,3))]. given #2638 (H,wt=10): 2783 L(x,y / z,K(y,z)) = x. [para(1885(a,1),2777(a,1,3))]. given #2639 (H,wt=13): 2782 (x * y) * K(y,z) = x * T(y,z). [hyper(120,a,2776,a(flip),b,1911,a),flip(a)]. given #2640 (H,wt=10): 2795 L(K(x,y),x,z) = K(x,y). [hyper(1916,a,2782,a)]. given #2641 (H,wt=8): 2811 a(x,y,K(y,z)) = 1. [hyper(54,a,2795,a)]. given #2642 (H,wt=8): 2812 a(x,y,K(z,y)) = 1. [para(1909(a,1),2811(a,1,3))]. given #2643 (H,wt=10): 2813 L(K(x,y),y,z) = K(x,y). [hyper(53,a,2812,a)]. given #2644 (H,wt=10): 2814 a(x,T(y,z),K(u,y)) = 1. [para(1937(a,1),2812(a,1,3))]. given #2645 (H,wt=12): 2810 L(K(x,y),x,z) = K(y,x) \ 1. [hyper(306,a,2177,a,b,2795,a),flip(a)]. given #2646 (H,wt=12): 2816 L(K(x,y),T(y,z),u) = K(x,y). [hyper(53,a,2814,a)]. given #2647 (H,wt=13): 2784 K(x,y) * (x * z) = T(x,y) * z. [para(2777(a,1),1918(a,1,2)),flip(a)]. given #2648 (H,wt=13): 2786 K(x,y) * (z * T(y,x)) = z * y. [para(2778(a,1),1793(a,1,1)),flip(a)]. given #2649 (H,wt=13): 2794 K(((x * y) \ x) \ 1,z) = K(y,z). [hyper(2193,a,2782,a)]. given #2650 (H,wt=11): 2839 K(x,(y * z) \ y) = K(z,x). [hyper(2077,a,2794,a)]. given #2651 (H,wt=11): 2843 K(x \ y,z) = K(z,y \ x). [para(10(a,1),2839(a,1,2,1)),flip(a)]. given #2652 (H,wt=11): 2848 K(x / y,z) = K(z,x \ y). [hyper(1841,a,2843,a)]. given #2653 (H,wt=11): 2849 K(x,(y * z) \ z) = K(y,x). [hyper(1840,a,2843,a),flip(a)]. given #2654 (H,wt=13): 2799 K(x,y) * (z * x) = z * T(x,y). [hyper(358,a,2782,a)]. given #2655 (H,wt=13): 2800 (x * y) \ (x * T(y,z)) = K(y,z). [hyper(125,a,2782,a)]. given #2656 (H,wt=13): 2801 ((x / T(y,z)) * y) \ x = K(y,z). [hyper(118,a,12,a(flip),b,2782,a)]. given #2657 (H,wt=13): 2802 (x * K(y,z)) * y = x * T(y,z). [hyper(64,a,2247,a,b,2782,a)]. given #2658 (H,wt=13): 2803 (x * T(y,z)) / y = x * K(y,z). [hyper(119,a,2782,a(flip),b,2247,a)]. given #2659 (H,wt=13): 2804 (x * K(y,z)) \ (x * T(y,z)) = y. [hyper(118,a,2782,a(flip),b,2247,a)]. given #2660 (H,wt=8): 2864 L(x,K(x,y),z) = x. [hyper(1927,a,2804,a)]. given #2661 (H,wt=13): 2815 K(x,(y \ z) \ 1) = K(x,z \ y). [hyper(64,a,2611,a(flip),b,2813,a)]. given #2662 (H,wt=13): 2817 L(K(x,y),x,z) != u | K(x,y) = u. [para(2810(a,2),2178(a,1))]. given #2663 (H,wt=13): 2818 (x * T(y,z)) \ (x * y) = K(z,y). [hyper(64,a,1789,a(flip),b,2816,a)]. given #2664 (H,wt=13): 2819 (x * y) / K(z,y) = x * T(y,z). [hyper(196,a,2816,a(flip),b,1789,a(flip))]. given #2665 (H,wt=13): 2820 (x * T(y,z)) * K(z,y) = x * y. [hyper(121,a,2816,a(flip),b,1789,a(flip))]. given #2666 (H,wt=13): 2822 x * (y * K(x,z)) = T(x,z) * y. [hyper(2236,a,2784,a)]. given #2667 (H,wt=13): 2823 T(x,y) \ (K(x,y) * z) = x \ z. [hyper(696,a,2784,a)]. given #2668 (H,wt=13): 2824 (x * y) * K(x,z) = T(x,z) * y. [hyper(373,a,2784,a)]. given #2669 (H,wt=13): 2825 T(x,y) * (x \ z) = K(x,y) * z. [hyper(314,a,2784,a),flip(a)]. given #2670 (H,wt=13): 2826 (T(x,y) * z) / (x * z) = K(x,y). [hyper(132,a,2784,a)]. given #2671 (H,wt=13): 2827 x * (T(x,y) \ z) = K(x,y) \ z. [hyper(118,a,10,a(flip),b,2784,a),flip(a)]. given #2672 (H,wt=13): 2828 x \ (T(x,y) * z) = z * K(x,y). [hyper(118,a,2784,a(flip),b,2220,a(flip))]. given #2673 (H,wt=13): 2829 x \ (T(x,y) * z) = K(x,y) * z. [hyper(118,a,2784,a(flip),b,2219,a(flip))]. given #2674 (H,wt=13): 2840 K((x \ y) \ 1,z) = K(y \ x,z). [para(10(a,1),2794(a,1,1,1,1))]. given #2675 (H,wt=13): 2841 K((x / y) \ 1,z) = K(y / x,z). [para(851(a,1),2794(a,1,1,1))]. given #2676 (H,wt=13): 2847 K(x \ 1,y \ z) = K(x,z \ y). [hyper(2107,a,2843,a)]. given #2677 (H,wt=13): 2856 (K(x,y) * z) * x = z * T(x,y). [hyper(2234,a,2799,a)]. given #2678 (H,wt=13): 2866 K(x,1 / (y \ z)) = K(x,z \ y). [hyper(1977,a,2815,a)]. given #2679 (H,wt=13): 2869 K(x,((y * z) \ y) \ 1) = K(x,z). [para(9(a,1),2815(a,2,2))]. given #2680 (H,wt=13): 2874 (x / T(y,z)) * y = x * K(z,y). [hyper(308,a,2819,a),flip(a)]. given #2681 (H,wt=11): 2905 (x * K(y,z)) \ x = K(z,y). [para(2874(a,1),2801(a,1,1))]. given #2682 (H,wt=11): 2906 (K(x,y) * z) * K(y,x) = z. [hyper(356,a,2905,a),flip(a)]. given #2683 (H,wt=11): 2907 x / K(y,z) = x * K(z,y). [hyper(197,a,2905,a)]. given #2684 (H,wt=11): 2908 (x * K(y,z)) * K(z,y) = x. [hyper(135,a,2905,a)]. given #2685 (H,wt=11): 2909 (K(x,y) \ z) / z = K(y,x). [hyper(64,a,886,a,b,2905,a)]. given #2686 (H,wt=11): 2910 x / (K(y,z) * x) = K(z,y). [hyper(64,a,815,a,b,2905,a)]. given #2687 (H,wt=11): 2911 K(x,y) \ z = z * K(y,x). [hyper(40,a,303,a,b,2905,a)]. given #2688 (H,wt=11): 2912 K(x,y) * (z * K(y,x)) = z. [hyper(39,a,240,a,b,2905,a)]. given #2689 (H,wt=11): 2913 K(x,y) \ z = K(y,x) * z. [hyper(120,a,2905,a(flip),b,886,a),flip(a)]. given #2690 (H,wt=11): 2914 K(x,y) * (K(y,x) * z) = z. [hyper(120,a,2905,a(flip),b,815,a)]. given #2691 (H,wt=11): 2919 x / (x * K(y,z)) = K(z,y). [hyper(196,a,151,a(flip),b,2906,a(flip))]. given #2692 (H,wt=13): 2875 (x * K(y,z)) / z = x / T(z,y). [hyper(119,a,79,a(flip),b,2819,a(flip)),flip(a)]. given #2693 (H,wt=13): 2877 (x * K(y,z)) * T(z,y) = x * z. [hyper(36,a,2246,a(flip),b,2820,a),flip(a)]. given #2694 (H,wt=13): 2879 (T(x,y) \ z) * K(x,y) = x \ z. [hyper(118,a,10,a(flip),b,2822,a),flip(a)]. given #2695 (H,wt=13): 2884 K(x,y) * (T(x,y) \ z) = x \ z. [hyper(1472,a,2823,a),flip(a)]. given #2696 (H,wt=13): 2885 T(x,y) * (x \ z) = z * K(x,y). [hyper(649,a,2824,a),flip(a)]. given #2697 (H,wt=13): 2893 K(x \ (x / y),z) = K(y \ 1,z). [para(78(a,1),2840(a,1,1,1)),flip(a)]. given #2698 (H,wt=13): 2899 K((x / y) \ 1,z) = K(x \ y,z). [hyper(306,a,1820,a(flip),b,2841,a),flip(a)]. given #2699 (H,wt=13): 2918 (T(x,y) * z) \ (x * z) = K(y,x). [para(2824(a,1),2905(a,1,1))]. given #2700 (H,wt=13): 2922 (T(x,y) * z) * K(y,x) = x * z. [para(2784(a,1),2906(a,1,1))]. given #2701 (H,wt=13): 2925 T(x,y) * (z * K(y,x)) = x * z. [hyper(121,a,2908,a(flip),b,2828,a),flip(a)]. given #2702 (H,wt=13): 2931 K(x,y) \ (y * z) = T(y,x) * z. [hyper(38,a,2826,a,b,2909,a),flip(a)]. given #2703 (H,wt=13): 2936 (K(x,y) * z) \ z = T(K(y,x),z). [para(2910(a,1),400(a,1,1)),flip(a)]. given #2704 (H,wt=13): 2938 x * (T(x,y) \ z) = z * K(y,x). [hyper(64,a,2827,a,b,2911,a)]. given #2705 (H,wt=13): 2942 x * (T(x,y) \ z) = K(y,x) * z. [hyper(64,a,2827,a,b,2913,a)]. given #2706 (H,wt=13): 2948 (x \ y) * K(z,x) = T(x,z) \ y. [hyper(36,a,2908,a,b,2879,a)]. given #2707 (H,wt=13): 2949 K(x,y) * (y \ z) = T(y,x) \ z. [hyper(36,a,2906,a,b,2879,a)]. given #2708 (H,wt=13): 2950 T(x,T(y,z) \ u) = T(x,y \ u). [para(2879(a,1),1478(a,1,2)),flip(a)]. given #2709 (H,wt=13): 2951 K(x,T(y,z) \ u) = K(x,y \ u). [para(2879(a,1),1993(a,1,2)),flip(a)]. given #2710 (H,wt=13): 2963 K((x * y) \ y,z) = K(x \ 1,z). [para(11(a,1),2899(a,1,1,1)),flip(a)]. given #2711 (H,wt=14): 2781 L(x,y * (z * u),K(u,y * z)) = x. [para(2442(a,1),2772(a,1,3))]. given #2712 (H,wt=14): 2787 L(x,T(y,z) \ y,y) = y * (y \ x). [para(2779(a,1),2602(a,1,2)),flip(a)]. given #2713 (H,wt=10): 2982 L(x,T(y,z) \ y,y) = x. [hyper(306,a,10,a(flip),b,2787,a),flip(a)]. given #2714 (H,wt=8): 2985 L(x,K(y,z),z) = x. [para(1787(a,2),2982(a,1,2))]. given #2715 (H,wt=8): 2989 L(x,K(y,z),y) = x. [para(1930(a,1),2985(a,1,2))]. given #2716 (H,wt=10): 2988 L(x,K(y,z),z * y) = x. [para(1809(a,1),2985(a,1,2))]. given #2717 (H,wt=10): 2990 L(x,y \ T(y,z),y) = x. [para(1891(a,1),2989(a,1,2))]. given #2718 (H,wt=13): 2993 L(x,y \ R(T(y,z),u,y),y) = x. [para(810(a,2),2990(a,1,2,2))]. given #2719 (H,wt=14): 2851 K(x,y \ z) != u | K(y / z,x) = u. [para(2843(a,1),1841(a,1))]. given #2720 (H,wt=14): 2852 K(x,y \ (z \ y)) != u | K(z,x) = u. [para(2843(a,1),1843(a,1))]. given #2721 (H,wt=14): 2855 K(x,y \ z) != u | K(z \ y,x) = u. [para(2848(a,1),1860(a,1))]. given #2722 (H,wt=14): 2895 K(x \ y,z) != u | K(z,y \ x) = u. [para(2840(a,1),2077(a,1))]. given #2723 (H,wt=12): 2998 K(x,y) != z | K(y,x \ y) = z. [para(1888(a,1),2895(a,1))]. given #2724 (H,wt=14): 2915 x * K(y,z) != u | u * K(z,y) = x. [para(2905(a,1),131(a,1,2)),flip(b)]. given #2725 (H,wt=14): 2920 x * K(y,z) != u | K(z,y) * u = x. [para(2906(a,1),45(a,1)),flip(a)]. given #2726 (H,wt=14): 2921 K(x,y) * z != u | K(y,x) * u = z. [para(2906(a,1),357(a,2))]. given #2727 (H,wt=14): 2923 (x * K(y,z)) \ x != u | K(z,y) = u. [para(2907(a,1),271(a,1,1)),flip(b)]. given #2728 (H,wt=14): 2929 K(x,y) * z != u | u * K(y,x) = z. [para(2908(a,1),357(a,2))]. given #2729 (H,wt=14): 2933 K(x,y) != z / u | K(y,x) * z = u. [para(2910(a,1),46(a,1))]. given #2730 (H,wt=14): 2934 K(x,y) * (K(y,x) * z) != u | u = z. [para(2910(a,1),256(a,1,1))]. given #2731 (H,wt=14): 2935 K(x,y) \ z != u | K(y,x) * z = u. [para(2910(a,1),271(a,1,1)),flip(b)]. given #2732 (H,wt=14): 2939 K(x,y) * (z * K(y,x)) != u | u = z. [para(2911(a,1),262(a,1,2))]. given #2733 (H,wt=14): 2940 x / (x * K(y,z)) != u | K(z,y) = u. [para(2911(a,1),282(a,1,2)),flip(b)]. given #2734 (H,wt=15): 2773 (x / y) * (y * K(z,y)) = x * K(z,y). [hyper(120,a,2771,a(flip),b,103,a(flip))]. given #2735 (H,wt=15): 2774 (K(x,y) * y) * z = K(x,y) * (y * z). [para(2771(a,1),1650(a,1,2))]. given #2736 (H,wt=15): 2785 (x * (y * z)) * K(z,y) = x * (z * y). [para(2775(a,1),622(a,1,1)),flip(a)]. given #2737 (H,wt=15): 2790 K(x,y) * ((y * x) * z) = (x * y) * z. [hyper(121,a,2780,a(flip),b,390,a),flip(a)]. given #2738 (H,wt=15): 2791 (x * y) * ((y * x) \ z) = z * K(x,y). [hyper(121,a,2780,a(flip),b,2569,a(flip))]. given #2739 (H,wt=15): 2792 K(x,y) * (z * (y * x)) = z * (x * y). [hyper(120,a,2780,a(flip),b,1652,a),flip(a)]. given #2740 (H,wt=15): 2797 x * T(x \ y,z) = y * K(x \ y,z). [hyper(649,a,2782,a),flip(a)]. given #2741 (H,wt=15): 2798 T(K(x,y),z) * (u * x) = u * T(x,y). [hyper(486,a,2782,a)]. given #2742 (H,wt=15): 2850 (x \ y) * K(z,y \ x) = T(x \ y,z). [hyper(121,a,2843,a(flip),b,1935,a)]. given #2743 (H,wt=15): 2854 T(x,(y \ z) \ 1) = x * K(x,z \ y). [para(2843(a,1),2046(a,2,2))]. given #2744 (H,wt=13): 3020 T(x,(y \ z) \ 1) = T(x,z \ y). [hyper(306,a,1892,a,b,2854,a),flip(a)]. given #2745 (H,wt=13): 3022 T(x,(y / z) \ 1) = T(x,y \ z). [hyper(2113,a,3020,a)]. given #2746 (H,wt=13): 3027 T(x,(y / z) \ 1) = T(x,z / y). [hyper(306,a,1498,a,b,3022,a),flip(a)]. given #2747 (H,wt=13): 3028 T(x,y \ (z \ y)) = T(x,z \ 1). [para(75(a,1),3022(a,1,2,1)),flip(a)]. given #2748 (H,wt=15): 2872 (x * T(x \ y,z)) \ y = K(z,x \ y). [para(10(a,1),2818(a,1,2))]. given #2749 (H,wt=15): 2878 (x * T(y,z)) * T(z,y) = (x * y) * z. [hyper(120,a,2820,a(flip),b,2803,a),flip(a)]. given #2750 (H,wt=15): 2881 T(x,y \ x) * z = x * (z * K(y,x)). [para(1909(a,1),2822(a,1,2,2)),flip(a)]. given #2751 (H,wt=15): 2882 T(x,y) * T(x,z) = x * T(T(x,y),z). [para(2014(a,1),2822(a,1,2)),flip(a)]. given #2752 (H,wt=15): 2883 T(x,y) * (z * T(y,x)) = x * (z * y). [para(2820(a,1),2822(a,1,2)),flip(a)]. given #2753 (H,wt=15): 2891 T(x / y,z) \ x = K(x / y,z) \ y. [hyper(663,a,2829,a),flip(a)]. given #2754 (H,wt=15): 2902 T(x / T(y,z),y) = y \ (x * K(z,y)). [hyper(230,a,2874,a,b,10,a)]. given #2755 (H,wt=15): 2927 K(x / y,z) \ u = u * K(z,y \ x). [hyper(118,a,2908,a(flip),b,1834,a)]. given #2756 (H,wt=15): 2941 K(x,y) \ T(y,z) = T(y,x) * K(y,z). [hyper(306,a,2020,a(flip),b,2913,a),flip(a)]. given #2757 (H,wt=15): 2947 (T(x,y) * z) * T(y,x) = (x * z) * y. [para(2824(a,1),2877(a,1,1))]. given #2758 (H,wt=15): 2965 T(x,y) * (T(y,x) * z) = x * (y * z). [hyper(121,a,2922,a(flip),b,2828,a),flip(a)]. given #2759 (H,wt=15): 2975 T(x,y \ x) \ z = K(x,y) * (x \ z). [para(1930(a,1),2949(a,1,1)),flip(a)]. given #2760 (H,wt=15): 2977 T(x,(y * z) \ u) = T(x,(z * y) \ u). [para(792(a,1),2950(a,1,2,1))]. given #2761 (H,wt=15): 2979 K(x,T(y,z) \ u) = K(x,T(y,w) \ u). [hyper(306,a,2951,a,b,2951,a)]. given #2762 (H,wt=15): 2980 K(x,((y \ z) * y) \ u) = K(x,z \ u). [hyper(64,a,1680,a,b,2951,a)]. given #2763 (H,wt=15): 2981 T(K(x,y),z) = K(((x \ 1) * u) \ u,y). [hyper(306,a,956,a,b,2963,a)]. given #2764 (H,wt=15): 2986 (x * (K(y,x) * z)) / z = x * K(y,x). [hyper(196,a,2985,a(flip),b,18,a(flip))]. given #2765 (H,wt=15): 2987 (x * K(y,x)) * z = x * (K(y,x) * z). [hyper(121,a,2985,a(flip),b,18,a(flip))]. given #2766 (H,wt=15): 2991 (x * y) \ ((y * x) * z) = K(x,y) \ z. [hyper(64,a,611,a(flip),b,2988,a)]. given #2767 (H,wt=15): 2992 (x * y) * (K(y,x) * z) = (y * x) * z. [hyper(121,a,2988,a(flip),b,300,a),flip(a)]. given #2768 (H,wt=15): 2995 K(x,y \ L(x,z,u)) != w | K(y,x) = w. [para(2441(a,1),2852(a,1))]. given #2769 (H,wt=12): 3058 K(x * L(y,z,u),y) = K(x,y). [hyper(2995,a,2849,a)]. given #2770 (H,wt=14): 3059 K(x \ (y * L(x,z,u)),x) = K(y,x). [hyper(1889,a,3058,a)]. given #2771 (H,wt=14): 3060 K(x / L(y,z,u),y) = K(y \ x,y). [para(12(a,1),3059(a,1,1,2)),flip(a)]. given #2772 (H,wt=15): 3000 K(x,y) * (y * z) = ((x * y) / x) * z. [para(1741(a,2),2774(a,1,1)),flip(a)]. given #2773 (H,wt=15): 3007 K(x,y) \ ((x * y) * z) = (y * x) * z. [hyper(125,a,2790,a)]. given #2774 (H,wt=15): 3023 T(x * (y \ z),z \ y) = (y \ z) * x. [hyper(2105,a,3020,a),flip(a)]. given #2775 (H,wt=15): 3024 T((x \ y) \ z,y \ x) = z / (x \ y). [hyper(2073,a,3020,a),flip(a)]. given #2776 (H,wt=15): 3025 T(x,y \ z) * (z \ y) = (z \ y) * x. [hyper(120,a,3020,a(flip),b,2051,a(flip))]. given #2777 (H,wt=15): 3029 T(x,y \ (z \ 1)) = T(x,z \ (y \ 1)). [para(579(a,1),3022(a,1,2))]. given #2778 (H,wt=15): 3041 T(x / y,z) \ x = y * K(z,y \ x). [hyper(64,a,2891,a,b,2927,a)]. given #2779 (H,wt=15): 3051 ((x * y) / x) * z = y * (K(x,y) * z). [hyper(120,a,1726,a,b,2986,a)]. given #2780 (H,wt=15): 3056 K(x,y) * ((x * y) \ z) = (y * x) \ z. [hyper(118,a,10,a(flip),b,2992,a),flip(a)]. given #2781 (H,wt=15): 3061 K(x \ (y * (z * x)),x) = K(y * z,x). [para(93(a,1),3059(a,1,1,2))]. given #2782 (H,wt=15): 3062 ((x * y) / x) \ z = y \ (K(x,y) \ z). [hyper(694,a,3000,a)]. given #2783 (H,wt=16): 2806 (x * y) * K(y,z) != x * u | T(y,z) = u. [para(2782(a,2),44(a,1))]. given #2784 (H,wt=16): 2859 (x * y) * K(y,z) != u | x * T(y,z) = u. [para(2800(a,1),262(a,1,2)),flip(b)]. given #2785 (H,wt=16): 2888 K(x,y) != z / (x * u) | T(x,y) * u = z. [para(2826(a,1),47(a,1))]. given #2786 (H,wt=16): 2889 K(x,y) * (x * z) != u | T(x,y) * z = u. [para(2826(a,1),256(a,1,1)),flip(b)]. given #2787 (H,wt=16): 2890 x * (y * K(x,z)) != u | T(x,z) * y = u. [para(2828(a,1),262(a,1,2)),flip(b)]. given #2788 (H,wt=16): 2901 L(K(x,y),y,z) = K(x,((u * y) \ u) \ 1). [hyper(306,a,2813,a,b,2869,a)]. given #2789 (H,wt=16): 2952 K(x,y \ z) != u | K(x,T(y,w) \ z) = u. [para(2879(a,1),1994(a,1,2))]. given #2790 (H,wt=16): 2967 T(x,y) * z != x * u | u * K(y,x) = z. [para(2925(a,1),44(a,1)),flip(a)]. given #2791 (H,wt=16): 2973 K(x,T(y,z) \ u) != w | K(x,y \ u) = w. [para(2948(a,1),1994(a,1,2))]. given #2792 (H,wt=16): 3021 T(x,(y \ z) \ 1) != u | T(x,z \ y) = u. [para(2854(a,2),1894(a,1))]. given #2793 (H,wt=16): 3031 T(x,(y / z) \ 1) != u | T(x,y \ z) = u. [para(3027(a,2),1539(a,1))]. given #2794 (H,wt=16): 3073 K(x,((y * z) \ y) \ 1) != u | K(x,z) = u. [para(2901(a,1),437(a,1))]. given #2795 (H,wt=13): 3078 L(K(x,y),y,z) != u | K(x,y) = u. [para(2901(a,2),3073(a,1))]. given #2796 (H,wt=17): 2793 K(x,y) * ((x / y) * z) = (x / T(y,x)) * z. [para(2783(a,1),2023(a,1,2)),flip(a)]. given #2797 (H,wt=15): 3079 K(x,y) * ((x / y) * z) = (y \ x) * z. [para(406(a,1),2793(a,2,1))]. given #2798 (H,wt=15): 3080 ((x / y) * z) * K(x,y) = (y \ x) * z. [hyper(373,a,3079,a)]. given #2799 (H,wt=17): 2796 K(x,y) * (z * T(x,u)) = z * T(T(x,u),y). [hyper(1822,a,2782,a)]. given #2800 (H,wt=17): 2836 K(x,y) * (x \ (z * T(y,x))) = x \ (z * y). [hyper(118,a,2786,a(flip),b,2235,a),flip(a)]. given #2801 (H,wt=17): 2846 (x * y) * K(z,(u * y) \ u) = x * T(y,z). [para(2839(a,2),2782(a,1,2))]. given #2802 (H,wt=15): 3085 x / (x * T(y,z)) = T(x / (x * y),z). [hyper(196,a,2846,a(flip),b,3041,a)]. given #2803 (H,wt=17): 2863 (x * (y * K(z,x))) * z = (x * y) * T(z,x). [para(2214(a,1),2802(a,1,1))]. given #2804 (H,wt=17): 2868 x * K(y,z \ x) = z * ((y * (z \ x)) / y). [hyper(121,a,2815,a(flip),b,2610,a)]. given #2805 (H,wt=17): 2886 ((x \ 1) * y) * K(z,x) = T(x \ 1,z) * y. [para(2074(a,1),2824(a,1,2))]. given #2806 (H,wt=17): 2887 (x \ y) * T((x \ y) \ y,z) = K(x,z) * y. [hyper(1309,a,2825,a)]. given #2807 (H,wt=17): 2896 x * (y * K((x \ 1) \ y,z)) = T(x * y,z). [para(2840(a,1),2170(a,1,2,2))]. given #2808 (H,wt=17): 2943 (K(x,y) * z) * K(z,u) = T(K(y,x) \ z,u). [para(2913(a,1),1904(a,1,1))]. given #2809 (H,wt=15): 3088 T(K(x,y) \ z,u) = K(y,x) * T(z,u). [hyper(2859,a,2943,a),flip(a)]. given #2810 (H,wt=15): 3090 K(x,y) * T(z * K(y,x),u) = T(z,u). [para(248(a,1),3088(a,1,1)),flip(a)]. given #2811 (H,wt=15): 3091 T(x * K(y,z),u) = K(y,z) * T(x,u). [para(2911(a,1),3088(a,1,1))]. given #2812 (H,wt=15): 3092 T(x * K(y,z),u) = T(x,u) * K(y,z). [hyper(2929,a,3090,a),flip(a)]. given #2813 (H,wt=17): 2953 T(x,y * (T(z,u) \ w)) = T(x,y * (z \ w)). [para(2879(a,1),2727(a,1,2,2)),flip(a)]. given #2814 (H,wt=17): 2969 K(x,T(y,z)) * K(z,y) = T(T(y,z),x) \ y. [hyper(35,a,2925,a,b,2938,a)]. given #2815 (H,wt=15): 3098 T(T(x,y),z) \ x = K(y,x) * K(z,x). [hyper(1957,a,2969,a),flip(a)]. given #2816 (H,wt=17): 2974 K(x,y / x) * ((y / x) \ z) = (x \ y) \ z. [para(108(a,1),2949(a,2,1))]. given #2817 (H,wt=17): 2994 L(x,y \ R(T(y,z),u,y),y) = w \ (w * x). [hyper(306,a,9,a,b,2993,a),flip(a)]. given #2818 (H,wt=17): 2999 (x / (y \ z)) * (z / y) = x * K(y,y \ z). [para(1733(a,1),2773(a,1,2))]. given #2819 (H,wt=17): 3001 K(x,x \ y) * ((x \ y) * z) = (y / x) * z. [para(1742(a,1),2774(a,1,1)),flip(a)]. given #2820 (H,wt=17): 3002 T(x,y) \ (z * (x * y)) = x \ (z * (y * x)). [hyper(118,a,2785,a(flip),b,2938,a),flip(a)]. given #2821 (H,wt=17): 3008 T(x,y) \ ((x * y) * z) = x \ ((y * x) * z). [hyper(118,a,2790,a(flip),b,2942,a),flip(a)]. given #2822 (H,wt=17): 3011 (x * y) \ (z * T(x,y)) = (y * x) \ (z * x). [hyper(118,a,2820,a(flip),b,2791,a),flip(a)]. given #2823 (H,wt=17): 3016 (x * K((y \ 1) \ x,z)) * y = T(x * y,z). [hyper(120,a,2797,a(flip),b,1376,a(flip))]. given #2824 (H,wt=17): 3050 K(x,T(y * z,u) \ w) = K(x,(z * y) \ w). [hyper(306,a,1678,a(flip),b,2979,a),flip(a)]. given #2825 (H,wt=17): 3054 (x * y) * (T(y,x) * z) = (y * x) * (y * z). [hyper(121,a,2931,a(flip),b,2991,a)]. given #2826 (H,wt=17): 3055 (x * y) \ (y * T(x,z)) = K(y,x) * K(x,z). [hyper(118,a,2782,a(flip),b,2992,a)]. given #2827 (H,wt=17): 3069 ((x * y) / x) * (x * z) = y * (T(x,y) * z). [para(2784(a,1),3051(a,2,2))]. given #2828 (H,wt=17): 3070 ((x * y) \ z) * T(x,y) = ((y * x) \ z) * x. [para(3056(a,1),2856(a,1,1)),flip(a)]. given #2829 (H,wt=17): 3084 K(x,y) * (z * T(x,u)) = z * T(T(x,y),u). [para(23(a,1),2796(a,2,2))]. given #2830 (H,wt=17): 3094 x * (T(y,x) * K(z,u)) = (y * K(z,u)) * x. [hyper(121,a,3092,a(flip),b,22,a(flip))]. given #2831 (H,wt=17): 3100 ((x / y) \ z) * K(y,y \ x) = (y \ x) \ z. [hyper(1972,a,2974,a)]. given #2832 (H,wt=17): 3101 K(x,x \ y) * ((y / x) \ z) = (x \ y) \ z. [para(1777(a,1),2974(a,1,1))]. given #2833 (H,wt=15): 3109 K(x,y) * ((y / x) \ z) = (x \ y) \ z. [para(1801(a,1),3101(a,1,1))]. given #2834 (H,wt=15): 3110 ((x \ y) \ z) * K(y,x) = (y / x) \ z. [hyper(2929,a,3109,a)]. given #2835 (H,wt=17): 3102 (x \ y) * (z * K(x,x \ y)) = (y / x) * z. [hyper(2230,a,3001,a)]. given #2836 (H,wt=15): 3112 (x \ y) * (z * K(x,y)) = (y / x) * z. [para(1801(a,1),3102(a,1,2,2))]. given #2837 (H,wt=17): 3105 (x * y) \ (y * T(x,z)) = K(x,z) * K(y,x). [hyper(306,a,244,a,b,3055,a),flip(a)]. given #2838 (H,wt=18): 2788 L(x,y,z) = (y * z) \ (K(y,z) * (z * (y * x))). [hyper(64,a,1612,a,b,2780,a),flip(a)]. given #2839 (H,wt=18): 2789 K(x,y) * (y * (x * z)) = (x * y) * L(z,x,y). [hyper(121,a,2780,a(flip),b,1612,a),flip(a)]. given #2840 (H,wt=18): 2844 K(x,(y * (z * u)) \ (y * z)) = K(L(u,z,y),x). [para(93(a,1),2839(a,1,2,1))]. given #2841 (H,wt=18): 2853 (x \ y) * K(z,y \ x) != u | T(x \ y,z) = u. [para(2843(a,1),1894(a,1,2))]. given #2842 (H,wt=18): 2903 x * K(y,z) != z * u | T(x / T(z,y),z) = u. [para(2874(a,1),231(a,2)),flip(a)]. given #2843 (H,wt=18): 2904 x \ (y * K(z,x)) != u | T(y / T(x,z),x) = u. [para(2874(a,1),287(a,1,2))]. given #2844 (H,wt=18): 2916 x \ y != (z * K(u,w)) * K(w,u) | x * z = y. [para(2905(a,1),313(a,2,2))]. given #2845 (H,wt=18): 2917 (x * K(y,z)) * K(z,y) != u * w | u \ x = w. [para(2905(a,1),482(a,1,2))]. given #2846 (H,wt=18): 2924 x / y != (z * K(u,w)) * K(w,u) | z * y = x. [para(2907(a,1),308(a,2,1))]. given #2847 (H,wt=18): 2937 K(x,y) * (K(y,x) * z) != u * w | u \ z = w. [para(2910(a,1),310(a,1,1))]. given #2848 (H,wt=16): 3121 K(x,y) * x != z * u | z \ T(x,y) = u. [para(1786(a,1),2937(a,1,2))]. given #2849 (H,wt=18): 3003 (x * (y * z)) * u != x * (z * y) | K(z,y) = u. [para(2785(a,1),44(a,1)),flip(a)]. given #2850 (H,wt=18): 3004 (x * (y * z)) \ (x * (z * y)) != u | K(z,y) = u. [para(2785(a,1),286(a,1,2)),flip(b)]. given #2851 (H,wt=18): 3006 T(x,y * (z * u)) != w | T(x,y * (u * z)) = w. [para(2785(a,1),1536(a,1,2))]. given #2852 (H,wt=18): 3018 (x * T(x \ y,z)) \ y != u | K(z,x \ y) = u. [para(2797(a,2),2923(a,1,1))]. given #2853 (H,wt=18): 3043 x \ T(y,z) != T(y,u) * K(y,z) | K(u,y) = x. [para(2941(a,1),49(a,1)),flip(a)]. given #2854 (H,wt=18): 3046 (x * y) \ (x * (y * z)) = L(z,T(y,x),T(x,y)). [para(2965(a,1),920(a,1,2))]. given #2855 (H,wt=16): 3123 L(x,T(y,z),T(z,y)) != u | L(x,y,z) = u. [para(3046(a,1),597(a,1))]. given #2856 (H,wt=13): 3124 K(x,y) != z | L(K(x,y),y,u) = z. [para(2816(a,1),3123(a,1))]. given #2857 (H,wt=18): 3072 K(x,y) * T(x,z) != u | T(x,y) * K(x,z) = u. [para(1892(a,2),2889(a,1,2))]. given #2858 (H,wt=18): 3074 K(x,(y * z) \ u) != w | K(x,(z * y) \ u) = w. [para(792(a,1),2973(a,1,2,1))]. given #2859 (H,wt=18): 3075 K(x,((y \ z) * y) \ u) != w | K(x,z \ u) = w. [para(793(a,1),2973(a,1,2,1))]. given #2860 (H,wt=18): 3077 T(x,y \ (z \ 1)) != u | T(x,z \ (y \ 1)) = u. [para(579(a,1),3031(a,1,2))]. given #2861 (H,wt=18): 3107 T(x,(y \ z) \ u) != w | T(x,(z / y) \ u) = w. [para(3100(a,1),1536(a,1,2))]. given #2862 (H,wt=18): 3111 T(x,(y / z) \ u) != w | T(x,(z \ y) \ u) = w. [para(3110(a,1),1536(a,1,2))]. given #2863 (H,wt=18): 3117 L(x,y,z) = (y * z) \ (z * ((y * x) * K(y,z))). [para(2213(a,1),2788(a,2,2))]. given #2864 (H,wt=16): 3126 L(x,y,z) = (y * z) \ (z * (T(y,z) * x)). [para(2824(a,1),3117(a,2,2,2))]. given #2865 (H,wt=11): 3127 L(x,T(y,z),z) = L(x,y,z). [hyper(306,a,223,a(flip),b,3126,a)]. given #2866 (H,wt=13): 3132 L(x,y / z,z) = L(x,z \ y,z). [para(108(a,1),3127(a,1,2)),flip(a)]. given #2867 (H,wt=13): 3134 L(x,T(y,T(z,u)),z) = L(x,y,z). [para(1484(a,2),3127(a,1,2))]. given #2868 (H,wt=14): 3130 L(x,y,z) != u | L(x,T(y,z),z) = u. [para(3126(a,2),1162(a,1))]. given #2869 (H,wt=15): 3133 L(x,T(y,z),T(z,u)) = L(x,y,T(z,u)). [para(1484(a,1),3127(a,1,2))]. given #2870 (H,wt=11): 3138 L(x,y,T(z,y)) = L(x,y,z). [hyper(3123,a,3133,a),flip(a)]. given #2871 (H,wt=13): 3139 L(x,y,z / y) = L(x,y,y \ z). [para(108(a,1),3138(a,1,3)),flip(a)]. given #2872 (H,wt=13): 3140 L(x,y,y * (z / y)) = L(x,y,z). [para(813(a,1),3138(a,1,3)),flip(a)]. given #2873 (H,wt=15): 3148 L(x,T(y,z),z) = L(x,y,y * (z / y)). [hyper(306,a,3127,a,b,3140,a)]. given #2874 (H,wt=16): 3128 (x * y) * L(z,x,y) = y * (T(x,y) * z). [hyper(121,a,3126,a,b,xx)]. given #2875 (H,wt=16): 3129 L(T(x,y) \ z,x,y) = (x * y) \ (y * z). [para(10(a,1),3126(a,2,2,2))]. given #2876 (H,wt=16): 3144 x / L(y,z,z \ x) = (x / (z * y)) * z. [para(3139(a,1),1091(a,1,2))]. given #2877 (H,wt=16): 3147 L(x,y,y \ x) \ x = y * (x \ (x / y)). [para(3139(a,1),2402(a,1,1))]. given #2878 (H,wt=16): 3150 x / (y * (x \ (x / y))) = L(x,y,y \ x). [hyper(197,a,3147,a)]. given #2879 (H,wt=13): 3151 R(x,y,y \ x) = L(x,y,y \ x). [hyper(64,a,1148,a(flip),b,3150,a)]. given #2880 (H,wt=16): 3153 L(x,y,y \ x) * x = (x * y) * (y \ x). [hyper(120,a,3151,a(flip),b,101,a)]. given #2881 (H,wt=16): 3154 x * L(x,y,y \ x) = (x * y) * (y \ x). [hyper(485,a,3153,a)]. given #2882 (H,wt=17): 3135 L(x,T(y,T(z,u)),z) = L(x,T(y,K(w,v5)),z). [para(1533(a,1),3127(a,1,2))]. given #2883 (H,wt=13): 3156 L(x,T(y,K(z,u)),w) = L(x,y,w). [hyper(64,a,3134,a(flip),b,3135,a),flip(a)]. given #2884 (H,wt=13): 3157 L(x,(y \ 1) \ 1,z) = L(x,y,z). [para(334(a,1),3156(a,1,2))]. given #2885 (H,wt=13): 3158 L(x,T(y,y \ 1),z) = L(x,y,z). [para(383(a,1),3156(a,1,2))]. given #2886 (H,wt=15): 3159 L(x,K(y,K(z,u)) * w,v5) = L(x,w,v5). [para(545(a,1),3156(a,1,2))]. given #2887 (H,wt=15): 3161 L(x,y * K(z \ 1,z),u) = L(x,y,u). [para(385(a,1),3159(a,1,2))]. given #2888 (H,wt=17): 3137 L(x,y \ (y / z),y) = L(x,y \ (z \ y),y). [para(834(a,1),3132(a,1,2))]. given #2889 (H,wt=17): 3141 L(x,y \ 1,y / z) = L(x,y \ 1,z \ y). [para(2067(a,1),3138(a,1,3))]. given #2890 (H,wt=18): 3118 (x * y) * L(K(z,u),x,y) = (x * K(z,u)) * y. [hyper(64,a,1855,a(flip),b,2789,a),flip(a)]. given #2891 (H,wt=13): 3164 R(K(x,y),z,u) = L(K(x,y),z,u). [hyper(35,a,2244,a,b,3118,a)]. given #2892 (H,wt=13): 3167 R(K(x,y),x,z) != u | K(x,y) = u. [para(3164(a,2),2817(a,1))]. given #2893 (H,wt=18): 3131 L(L(x,y,z),K(u,w),w * u) = L(x,T(y,z),z). [hyper(306,a,2988,a,b,3127,a)]. given #2894 (H,wt=14): 3168 L(x,T(y,z),z) != u | L(x,y,z) = u. [para(3131(a,1),444(a,1))]. given #2895 (H,wt=16): 3170 L(x,T(y,T(z,u)),z) != w | L(x,y,z) = w. [para(1484(a,2),3168(a,1,2))]. given #2896 (H,wt=16): 3171 L(x,y,y * (z / y)) != u | L(x,y,z) = u. [para(3148(a,1),3168(a,1))]. given #2897 (H,wt=16): 3172 L(x,y,(y * z) / y) != u | L(x,y,z) = u. [para(850(a,2),3171(a,1,3))]. given #2898 (H,wt=18): 3142 L(T(x,y),y,y \ z) = z \ ((z / y) * (x * y)). [hyper(64,a,1092,a(flip),b,3139,a),flip(a)]. given #2899 (H,wt=18): 3145 L(x \ y,x,x \ z) * z = T((z / x) * y,z). [para(3139(a,1),1132(a,1,1))]. given #2900 (H,wt=18): 3165 ((x * K(y,z)) * u) / (x * u) = L(K(y,z),x,u). [hyper(119,a,3118,a(flip),b,738,a)]. given #2901 (H,wt=16): 3175 L(K(x,y),z,u) != w | R(K(x,y),z,u) = w. [para(3165(a,1),1169(a,1))]. given #2902 (H,wt=13): 3176 K(x,y) != z | R(K(x,y),y,u) = z. [para(2813(a,1),3175(a,1))]. given #2903 (H,wt=18): 3166 L(K(x,y),z,u) * (z * u) = (K(x,y) * z) * u. [hyper(120,a,3164,a(flip),b,20,a(flip))]. given #2904 (H,wt=18): 3173 L(x \ (y \ (x * z)),x,z) = (y * x) \ (x * z). [hyper(3172,a,1428,a)]. given #2905 (H,wt=18): 3174 L(x,y,K(z,T(u,w))) != v5 | L(x,y,K(z,u)) = v5. [para(1943(a,2),3172(a,1,3))]. given #2906 (H,wt=19): 2880 (x / y) * (z * K(y \ x,u)) = T(x / y,u) * z. [para(1820(a,1),2822(a,1,2,2))]. given #2907 (H,wt=19): 2897 x * K((y * z) \ x,y) = z * ((y \ (z \ x)) * y). [para(2840(a,1),2251(a,1,2))]. given #2908 (H,wt=19): 2898 K(L(x \ y,z,u) \ 1,w) = L(K(y \ x,w),z,u). [para(2840(a,1),2719(a,1,1)),flip(a)]. given #2909 (H,wt=19): 2932 K(x,y) * (K(y,z) * (K(y,x) * u)) = K(y,z) * u. [hyper(2758,a,2910,a),flip(a)]. given #2910 (H,wt=19): 2978 T(x,((y / z) \ 1) \ u) = T(x,((z \ y) \ 1) \ u). [para(1159(a,1),2950(a,1,2,1))]. given #2911 (H,wt=19): 3019 T(x \ y,(y \ x) * z) = (x \ y) * K(z,y \ x). [para(1884(a,1),2850(a,1,2)),flip(a)]. given #2912 (H,wt=15): 3179 T(x \ y,(y \ x) * z) = T(x \ y,z). [hyper(306,a,2850,a(flip),b,3019,a),flip(a)]. given #2913 (H,wt=19): 3063 (x * (y \ z)) * (z \ y) = (z \ y) * ((y \ z) * x). [hyper(121,a,3023,a(flip),b,22,a(flip)),flip(a)]. given #2914 (H,wt=19): 3064 ((x \ y) * z) / (y \ x) = (y \ x) \ (z * (x \ y)). [hyper(119,a,3023,a(flip),b,793,a(flip))]. given #2915 (H,wt=19): 3071 ((x * y) / x) \ ((x * y) * z) = y \ ((y * x) * z). [para(3007(a,1),3062(a,2,2))]. given #2916 (H,wt=19): 3082 K(x,y) * ((x / (x * y)) * z) = ((x * y) \ x) * z. [para(1811(a,1),3079(a,1,1))]. given #2917 (H,wt=19): 3083 K(x,y * ((z / u) * w)) = K(x,y * ((u \ z) * w)). [para(3079(a,1),2730(a,1,2,2)),flip(a)]. given #2918 (H,wt=19): 3086 x * T(x / (x * (y \ x)),z) = x / T(x / y,z). [para(3085(a,1),2195(a,1,2))]. given #2919 (H,wt=15): 3182 x / T(x / y,z) = x * T(y / x,z). [para(387(a,1),3086(a,1,2,1)),flip(a)]. given #2920 (H,wt=19): 3087 (x * ((y / z) / x)) * z = y * K(x,(x * z) \ y). [hyper(306,a,2712,a(flip),b,2868,a)]. given #2921 (H,wt=19): 3097 T(x,y * ((z / u) \ w)) = T(x,y * ((u \ z) \ w)). [para(108(a,1),2953(a,1,2,2,1)),flip(a)]. given #2922 (H,wt=19): 3113 ((x / y) * z) / (y \ x) = T(z * K(y,x),x \ y). [hyper(119,a,3112,a(flip),b,3025,a)]. given #2923 (H,wt=19): 3146 x * L(y,z,z \ x) != u | (x / z) * (z * y) = u. [para(3139(a,1),1093(a,1,2))]. given #2924 (H,wt=19): 3152 L(x,y,y \ x) * z != x | y * (x \ (x / y)) = z. [para(3150(a,1),127(a,1,1))]. given #2925 (H,wt=19): 3155 (x * y) * (y \ x) != x * z | L(x,y,y \ x) = z. [para(3154(a,1),44(a,1))]. given #2926 (H,wt=19): 3177 L(x \ (x \ (x * (x * y))),x,x * y) = L(y,x,x). [hyper(306,a,18,a,b,3173,a),flip(a)]. given #2927 (H,wt=15): 3184 L(x \ (x * y),x,x * y) = L(y,x,x). [para(9(a,1),3177(a,1,1,2))]. given #2928 (H,wt=11): 3185 L(x,y,y * x) = L(x,y,y). [para(9(a,1),3184(a,1,1))]. given #2929 (H,wt=13): 3187 L(x \ y,x,y) = L(x \ y,x,x). [para(10(a,1),3185(a,1,3))]. given #2930 (H,wt=14): 3188 L(x \ y,x,x) = (y * x) \ (y * y). [hyper(64,a,95,a(flip),b,3187,a),flip(a)]. given #2931 (H,wt=16): 3189 L(x \ y,x,y) != L(z,x,x) | x \ y = z. [para(3187(a,2),51(a,1))]. given #2932 (H,wt=19): 3180 T(x,y \ 1) \ ((y * x) * z) = x \ ((x * y) * z). [para(2051(a,2),3071(a,1,1))]. given #2933 (H,wt=19): 3181 K(x,y) * ((x / (x * y)) * z) = (x \ (x / y)) * z. [para(320(a,1),3082(a,2,1))]. given #2934 (H,wt=19): 3183 x / (y \ ((x / z) * y)) = T(z * K(y,x),x \ y). [hyper(64,a,1030,a(flip),b,3113,a)]. given #2935 (H,wt=17): 3193 T(x * K(y,z),z \ y) = z / T(z / x,y). [para(22(a,2),3183(a,1,2)),flip(a)]. given #2936 (H,wt=17): 3194 T(x * K(y,z),z \ y) = z * T(x / z,y). [hyper(306,a,3182,a(flip),b,3193,a),flip(a)]. given #2937 (H,wt=17): 3195 K(x,y) * (x * T(z / x,y)) = T(z,x \ y). [para(3194(a,1),3090(a,1,2))]. given #2938 (H,wt=15): 3196 T(x,y) * T(z / x,y) = T(z,x \ y). [hyper(2889,a,3195,a)]. given #2939 (H,wt=20): 2809 (x * y) * K(y,z) != u * w | u \ (x * T(y,z)) = w. [para(2782(a,2),633(a,1))]. given #2940 (H,wt=20): 2831 K(x,y) * (x * z) != u * w | u \ (T(x,y) * z) = w. [para(2784(a,2),633(a,1))]. given #2941 (H,wt=20): 2837 K(x,y) * (z * T(y,x)) != u * w | u \ (z * y) = w. [para(2786(a,2),633(a,1))]. given #2942 (H,wt=20): 2845 K(x,((y * z) * u) \ (y * (z * u))) = K(a(y,z,u),x). [para(81(a,1),2839(a,1,2,1))]. given #2943 (H,wt=20): 2860 (x * y) * K(y,z) != u * w | (x * T(y,z)) / w = u. [para(2800(a,1),311(a,1,2))]. given #2944 (H,wt=20): 2870 K(x,L(y \ z,y,u) \ 1) = K(x,(u * z) \ (u * y)). [para(95(a,2),2815(a,1,2,1))]. given #2945 (H,wt=20): 2873 (x * T(y,z)) * K(z,y) != u * w | u \ (x * y) = w. [para(2818(a,1),482(a,1,2))]. given #2946 (H,wt=20): 2876 x / y != (z * T(u,w)) * K(w,u) | (z * u) * y = x. [para(2819(a,1),308(a,2,1))]. given #2947 (H,wt=20): 2894 K(L(x \ y,x,z) \ 1,u) = K((z * y) \ (z * x),u). [para(95(a,2),2840(a,1,1,1))]. given #2948 (H,wt=18): 3198 L(K(x \ y,z),y,u) = K((u * x) \ (u * y),z). [hyper(64,a,2898,a(flip),b,2894,a)]. given #2949 (H,wt=17): 3201 L(K(x \ y,z),y,u) = K(L(x \ y,x,u),z). [para(95(a,2),3198(a,2,1))]. given #2950 (H,wt=18): 3199 L(K((x \ y) \ z,u),z,x) = K(y \ (x * z),u). [para(10(a,1),3198(a,2,1,1))]. given #2951 (H,wt=15): 3204 K((x \ y) \ z,x) = K(y \ (x * z),x). [hyper(64,a,2226,a(flip),b,3199,a)]. given #2952 (H,wt=15): 3205 K((x \ y) \ (x \ z),x) = K(y \ z,x). [para(10(a,1),3204(a,2,1,2))]. given #2953 (H,wt=15): 3206 K((x * y) \ z,x) = K(y \ (x \ z),x). [para(9(a,1),3205(a,1,1,1)),flip(a)]. given #2954 (H,wt=18): 3200 K((x * (y / z)) \ (x * y),u) = L(K(z,u),y,x). [para(78(a,1),3198(a,1,1,1)),flip(a)]. given #2955 (H,wt=15): 3208 K(L(x,y / x,z),u) = L(K(x,u),y,z). [para(97(a,2),3200(a,1,1))]. given #2956 (H,wt=15): 3210 L(K(x,y),z * x,u) = K(L(x,z,u),y). [para(11(a,1),3208(a,1,1,2)),flip(a)]. given #2957 (H,wt=10): 3215 K(L(x,y,z),z) = K(x,z). [hyper(64,a,2226,a(flip),b,3210,a),flip(a)]. given #2958 (H,wt=12): 3217 T(x * K(y,x),L(y,z,x)) = x. [para(3215(a,1),1731(a,1,1,2))]. given #2959 (H,wt=10): 3218 T(x,L(y,z,x)) = T(x,y). [para(3217(a,1),1735(a,1,1)),flip(a)]. given #2960 (H,wt=12): 3219 T(x,L(y,z,x)) = x * K(x,y). [hyper(306,a,1892,a(flip),b,3218,a),flip(a)]. given #2961 (H,wt=10): 3223 K(x,L(y,z,x)) = K(x,y). [hyper(1912,a,3219,a)]. given #2962 (H,wt=15): 3220 L(x,y,z) * T(z,x) = z * L(x,y,z). [hyper(121,a,3218,a(flip),b,22,a(flip))]. given #2963 (H,wt=15): 3221 T(x,(x \ y) \ z) = T(x,y \ (x * z)). [para(605(a,1),3218(a,1,2)),flip(a)]. given #2964 (H,wt=15): 3224 K(x,(x * y) \ z) = K(x,y \ (x \ z)). [para(293(a,1),3223(a,1,2))]. given #2965 (H,wt=15): 3226 T(L(x,y,z) * z,x) = z * L(x,y,z). [hyper(1608,a,3220,a)]. given #2966 (H,wt=15): 3227 K(x,(y * x) \ z) = K(x,y \ (x \ z)). [hyper(3074,a,3224,a)]. given #2967 (H,wt=17): 3211 K(x,L(y,z / y,u)) = L(K(y,x),z,u) \ 1. [para(3208(a,1),2177(a,1,1)),flip(a)]. given #2968 (H,wt=18): 3216 (x * (y * z)) * K(L(z,y,x),y) = x * (z * y). [hyper(121,a,3210,a(flip),b,301,a)]. given #2969 (H,wt=10): 3230 K(L(x,y,z),y) = K(x,y). [hyper(3003,a,3216,a),flip(a)]. given #2970 (H,wt=16): 3231 K(L(x,y,z),y) = (u * T(y,x)) \ (u * y). [hyper(306,a,2818,a,b,3230,a),flip(a)]. given #2971 (H,wt=15): 3233 L(x,y,z) * T(y,x) = y * L(x,y,z). [hyper(138,a,3231,a(flip)),flip(a)]. given #2972 (H,wt=10): 3234 T(x,L(y,x,z)) = T(x,y). [hyper(231,a,3233,a)]. given #2973 (H,wt=12): 3236 T(x,L(y,x,z)) = x * K(x,y). [hyper(306,a,1892,a(flip),b,3234,a),flip(a)]. given #2974 (H,wt=10): 3238 K(x,L(y,x,z)) = K(x,y). [hyper(1912,a,3236,a)]. given #2975 (H,wt=13): 3239 K(L(x,y,z),y) = K(x,L(y,x,u)). [hyper(306,a,3230,a,b,3238,a)]. given #2976 (H,wt=13): 3241 K(x,L(y,x,z)) != u | K(x,y) = u. [para(3239(a,1),1844(a,1))]. given #2977 (H,wt=13): 3242 K(L(x,y,z),y) != u | K(x,y) = u. [para(3239(a,2),3241(a,1))]. given #2978 (H,wt=15): 3237 T(x,(y * x) \ z) = T(x,x \ (y \ z)). [para(293(a,1),3234(a,1,2))]. given #2979 (H,wt=13): 3243 T(x,(y * x) \ z) = T(x,y \ z). [hyper(306,a,404,a(flip),b,3237,a),flip(a)]. given #2980 (H,wt=13): 3244 T(x,(x * y) \ z) = T(x,y \ z). [hyper(64,a,2977,a,b,3243,a)]. given #2981 (H,wt=13): 3245 T(x,(x \ y) \ z) = T(x,y \ z). [para(10(a,1),3244(a,1,2,1)),flip(a)]. given #2982 (H,wt=13): 3246 T(x,y \ (x * z)) = T(x,y \ z). [hyper(64,a,3221,a(flip),b,3245,a)]. given #2983 (H,wt=15): 3240 K(x,(y * x) \ z) = K(x,x \ (y \ z)). [para(293(a,1),3238(a,1,2))]. given #2984 (H,wt=13): 3247 K(x,(y * x) \ z) = K(x,y \ z). [hyper(306,a,1801,a(flip),b,3240,a),flip(a)]. given #2985 (H,wt=13): 3249 K(x,(x \ y) \ z) = K(x,y \ z). [hyper(3075,a,3247,a),flip(a)]. given #2986 (H,wt=13): 3250 K(x,(x * y) \ z) = K(x,y \ z). [hyper(3074,a,3247,a)]. given #2987 (H,wt=13): 3251 K(x,y \ (x \ z)) = K(x,y \ z). [hyper(64,a,3227,a(flip),b,3247,a)]. given #2988 (H,wt=15): 3248 K(x,y \ (x \ z)) = K(x,x \ (y \ z)). [hyper(64,a,3227,a(flip),b,3240,a)]. given #2989 (H,wt=15): 3252 K(x,x * (y \ (x \ z))) = K(x,y \ z). [hyper(1848,a,3251,a)]. given #2990 (H,wt=15): 3253 K(x,y \ (x \ (y * z))) = K(x,x \ z). [para(9(a,1),3248(a,2,2,2))]. given #2991 (H,wt=15): 3254 K(x,y \ (x * z)) = K(x,x * (y \ z)). [para(9(a,1),3252(a,1,2,2,2)),flip(a)]. given #2992 (H,wt=15): 3255 K(x,y \ (z * x)) = K(x,x * (y \ z)). [hyper(2264,a,3254,a)]. given #2993 (H,wt=18): 3225 K(L(x,y,z),L(u,w,x)) = L(K(x,u),y * x,z). [para(3223(a,1),3210(a,1,1)),flip(a)]. given #2994 (H,wt=18): 3257 L(K(x,y),z * x,u) != w | K(L(x,z,u),y) = w. [para(3225(a,1),3241(a,1))]. given #2995 (H,wt=19): 3207 x * K(y \ (z \ x),z) = y * ((z \ (y \ x)) * z). [para(3206(a,1),2897(a,1,2))]. given #2996 (H,wt=19): 3228 (x * ((y / z) / x)) * z = y * K(x,z \ (x \ y)). [para(3224(a,1),3087(a,2,2))]. given #2997 (H,wt=20): 2964 x \ y != (T(z,u) * w) * K(u,z) | x * (z * w) = y. [para(2918(a,1),313(a,2,2))]. given #2998 (H,wt=20): 2966 T(x,y) * (((x \ 1) * z) * K(y,x)) = L(z,x \ 1,x). [hyper(306,a,264,a(flip),b,2925,a),flip(a)]. given #2999 (H,wt=18): 3260 T(x,y) * (T(x \ 1,y) * z) = L(z,x \ 1,x). [para(2886(a,1),2966(a,1,2))]. given #3000 (H,wt=20): 3017 x / y != z * T(z \ 1,u) | K(z \ 1,u) * y = x. [para(2797(a,2),258(a,2))]. given #3001 (H,wt=20): 3037 (x * (y * z)) \ ((x * y) * z) = a(x,T(y,z),T(z,y)). [para(2878(a,1),918(a,1,2))]. given #3002 (H,wt=13): 3263 a(x,T(y,z),T(z,y)) = a(x,y,z). [hyper(1084,a,3037,a),flip(a)]. given #3003 (H,wt=20): 3047 (x * (y * z)) \ ((x * y) * z) = a(T(x,y),T(y,x),z). [para(2965(a,1),919(a,1,1))]. given #3004 (H,wt=16): 3266 a(T(x,y),T(y,x),z) != u | a(x,y,z) = u. [para(3047(a,1),1084(a,1))]. given #3005 (H,wt=20): 3076 T(x,(y * (z \ y)) \ 1) != u | T(x,y \ (y \ z)) = u. [para(322(a,1),3031(a,1,2,1))]. given #3006 (H,wt=20): 3096 x * T(y * K(x,z),u) != w | T(x,z) * T(y,u) = w. [para(3092(a,2),2890(a,1,2))]. given #3007 (H,wt=20): 3119 x * K(y \ 1,y) != z * u | z \ (1 / (1 / x)) = u. [para(566(a,1),2917(a,1,1))]. given #3008 (H,wt=20): 3120 x / y != (z * u) * K(z,w) | (T(z,w) * u) * y = x. [para(2922(a,1),2924(a,2,1))]. given #3009 (H,wt=20): 3122 L(T(x,y),z,u) != w * v5 | w \ T(L(x,z,u),y) = v5. [para(1924(a,1),3121(a,1))]. given #3010 (H,wt=20): 3125 K(x,T(y * z,u) \ w) != v5 | K(x,(z * y) \ w) = v5. [para(2951(a,2),3074(a,1))]. given #3011 (H,wt=20): 3149 x \ (L(y,z,x) * (z * x)) = T(z,x) * T(y,z * x). [hyper(742,a,3128,a)]. given #3012 (H,wt=20): 3162 L(x,y * K(z \ 1,z),u) = (u * y) \ (u * (y * x)). [hyper(306,a,18,a(flip),b,3161,a),flip(a)]. given #3013 (H,wt=20): 3169 L(x,L(T(y,z),u,w),z) != v5 | L(x,L(y,u,w),z) = v5. [para(25(a,2),3168(a,1,2))]. given #3014 (H,wt=20): 3178 L(x,y,K(z,u / w)) != v5 | L(x,y,K(z,w \ u)) = v5. [para(1966(a,1),3174(a,1,3))]. given #3015 (H,wt=20): 3203 L(K(L(x,y,z) \ x,u),x,z * y) = K(a(z,y,x),u). [para(2551(a,2),3201(a,2,1))]. given #3016 (H,wt=20): 3212 L(K(x,y),z,u) \ 1 != w | K(y,L(x,z / x,u)) = w. [para(3208(a,1),2178(a,1,1))]. given #3017 (H,wt=20): 3229 (x * L(y,z,x)) / y != u | y \ (L(y,z,x) * x) = u. [para(3226(a,1),839(a,1,1))]. given #3018 (H,wt=17): 3271 x \ (L(x,y,z) * z) = (z / x) * L(x,y,z). [hyper(3229,a,2457,a)]. given #3019 (H,wt=20): 3262 K(x \ (x / y),x) != z / u | K(y \ 1,x) * u = z. [para(1384(a,2),3017(a,2)),flip(a)]. given #3020 (H,wt=20): 3267 a(T(x,y),T(T(y,z),x),u) != w | a(x,T(y,z),u) = w. [para(1484(a,1),3266(a,1,1))]. given #3021 (H,wt=20): 3268 K(x,T(y,z) \ u) != w | K(x,((v5 \ y) * v5) \ u) = w. [para(10(a,1),3125(a,1,2,1,1))]. given #3022 (H,wt=20): 3269 x \ (L(y,z,x) * (z * x)) = T(z,x) * T(y,x * z). [para(1479(a,1),3149(a,2,2))]. given #3023 (H,wt=20): 3272 (x / (y \ 1)) * L(y \ 1,y,x) = (y \ 1) \ (y \ x). [para(887(a,1),3271(a,1,2)),flip(a)]. given #3024 (H,wt=21): 2807 K(x,y) * ((z * T(x,y)) \ K(x,y)) = (z * x) \ K(x,y). [para(2782(a,1),199(a,1,2,1))]. given #3025 (H,wt=17): 3274 (x \ 1) * (y \ K(x,z)) = (y * x) \ K(x,z). [hyper(1960,a,2807,a)]. given #3026 (H,wt=15): 3275 (x * x) \ K(x,y) = x \ (x \ K(x,y)). [hyper(64,a,2344,a(flip),b,3274,a),flip(a)]. given #3027 (H,wt=21): 2858 K(x,y) * ((z * x) * T(x,u)) = (z * T(x,u)) * T(x,y). [para(1617(a,1),2799(a,1,2))]. given #3028 (H,wt=19): 3276 (x * T(y,z)) * T(y,u) = (x * y) * T(T(y,u),z). [hyper(64,a,3084,a(flip),b,2858,a),flip(a)]. given #3029 (H,wt=21): 2892 x * K((y * z) \ x,u) = y * (z * T(z \ (y \ x),u)). [hyper(121,a,2840,a(flip),b,2166,a)]. given #3030 (H,wt=21): 2954 (x * K(y,z)) * K(y \ x,u) = T(y,z) * T(y \ x,u). [para(2885(a,1),2782(a,1,1))]. given #3031 (H,wt=21): 2997 K(L(x,y,z),u) != w | K(u,(z * (y * x)) \ (z * y)) = w. [para(18(a,2),2895(a,1,1))]. given #3032 (H,wt=21): 3035 (x * (y * T(y \ (x \ z),u))) \ z = K(u,(x * y) \ z). [para(1282(a,1),2872(a,1,1))]. given #3033 (H,wt=19): 3279 K(x,(y * K(x,z)) \ u) = (y * T(y \ u,x)) \ u. [para(2754(a,1),3035(a,1,1,2)),flip(a)]. given #3034 (H,wt=15): 3280 K(x,(y * K(x,z)) \ u) = K(x,y \ u). [hyper(306,a,2872,a(flip),b,3279,a),flip(a)]. given #3035 (H,wt=15): 3281 K(x,(K(x,y) * z) \ u) = K(x,z \ u). [hyper(3074,a,3280,a)]. given #3036 (H,wt=15): 3282 K(x,(y * K(z,x)) \ u) = K(x,y \ u). [para(1909(a,1),3280(a,1,2,1,2))]. given #3037 (H,wt=15): 3283 K(x,(K(y,x) * z) \ u) = K(x,z \ u). [para(2906(a,1),3280(a,1,2,1)),flip(a)]. given #3038 (H,wt=21): 3036 (x * T(y,L(z,y,x))) \ (x * (y * z)) = T(L(z,y,x),y). [hyper(118,a,93,a(flip),b,2878,a)]. given #3039 (H,wt=21): 3114 K(x * L(y,z,u),x * y) = K(x,y) * K(L(y,z,u),x). [hyper(2691,a,3105,a)]. given #3040 (H,wt=21): 3143 L(x,y,y \ (T(y,z) * u)) = L(x,y,T(y,z) * (u / y)). [para(1094(a,1),3139(a,1,3)),flip(a)]. given #3041 (H,wt=19): 3286 L(x,y,T(y,z) * (u / y)) = L(x,y,u * K(y,z)). [para(2828(a,1),3143(a,1,3)),flip(a)]. given #3042 (H,wt=21): 3209 L(K(T(x,y),T(z,u)),w,v5) = K(L(x,w / T(x,y),v5),z). [hyper(2024,a,3208,a),flip(a)]. given #3043 (H,wt=17): 3288 K(L(x,y / T(x,z),u),w) = L(K(x,w),y,u). [para(1816(a,1),3209(a,1,1)),flip(a)]. given #3044 (H,wt=15): 3289 L(K(x,y),x * z,u) = K(L(x,z,u),y). [para(187(a,1),3288(a,1,1,2)),flip(a)]. given #3045 (H,wt=15): 3290 K(L(x,x \ y,z),u) = L(K(x,u),y,z). [para(268(a,1),3288(a,1,1,2))]. given #3046 (H,wt=12): 3293 K(L(x,x \ 1,y),z) = K(x,z). [hyper(306,a,441,a(flip),b,3290,a),flip(a)]. given #3047 (H,wt=12): 3295 K(R(x,x \ 1,y),z) = K(x,z). [para(995(a,2),3293(a,1,1))]. given #3048 (H,wt=15): 3296 K(R(x,x \ 1,y),L(z,x,u)) = K(x,z). [hyper(306,a,3238,a(flip),b,3295,a),flip(a)]. given #3049 (H,wt=18): 3294 K(T(x,y),T(z,u)) = K(L(x,T(x,y) \ 1,w),z). [hyper(2024,a,3293,a),flip(a)]. given #3050 (H,wt=14): 3297 K(L(x,T(x,y) \ 1,z),u) = K(x,u). [hyper(1958,a,3294,a),flip(a)]. given #3051 (H,wt=14): 3299 K(L(x,x \ K(y,x),z),u) = K(x,u). [para(1803(a,1),3297(a,1,1,2))]. given #3052 (H,wt=12): 3300 L(K(x,y),K(z,x),u) = K(x,y). [hyper(64,a,3290,a(flip),b,3299,a)]. given #3053 (H,wt=18): 3302 L(R(K(x,y),z,u),K(w,x),v5) = R(K(x,y),z,u). [para(3300(a,1),29(a,1,1)),flip(a)]. given #3054 (H,wt=19): 3301 (x * K(y,z)) * K(z,u) = x * (K(z,u) * K(y,z)). [hyper(121,a,3300,a(flip),b,364,a)]. given #3055 (H,wt=10): 3304 R(x,K(y,z),K(z,u)) = x. [hyper(1167,a,3301,a)]. given #3056 (H,wt=10): 3305 L(x,K(y,z),K(z,u)) = x. [hyper(64,a,1647,a(flip),b,3304,a)]. given #3057 (H,wt=10): 3307 L(x,K(y,z),K(y,u)) = x. [para(1930(a,1),3305(a,1,2))]. given #3058 (H,wt=10): 3309 L(x,K(y,z),K(u,y)) = x. [para(1909(a,1),3307(a,1,3))]. given #3059 (H,wt=13): 3306 R(x,L(K(y,z),u,w),K(z,v5)) = x. [para(2720(a,1),3304(a,1,2))]. given #3060 (H,wt=13): 3308 L(x,L(K(y,z),u,w),K(z,v5)) = x. [para(2720(a,1),3305(a,1,2))]. given #3061 (H,wt=18): 3313 L(x,L(K(y,z),u,w),L(K(v5,z),v6,v7) \ 1) = x. [para(2737(a,1),3308(a,1,3))]. given #3062 (H,wt=19): 3310 (K(x,y) * (K(y,z) * u)) / u = K(x,y) * K(y,z). [hyper(196,a,3309,a(flip),b,18,a(flip))]. given #3063 (H,wt=19): 3314 x / (L(K(y,z),u,w) * x) = L(K(y,z),u,w) \ 1. [hyper(196,a,2325,a(flip),b,3313,a(flip))]. given #3064 (H,wt=19): 3315 (K(x,y) * z) / (K(x,u) * z) = K(u,x) * K(x,y). [para(2932(a,1),3310(a,1,1))]. given #3065 (H,wt=21): 3214 L(K(x,y),z * K(u,x),w) = K(L(x,z / T(x,u),w),y). [para(2875(a,1),3208(a,1,1,2)),flip(a)]. given #3066 (H,wt=17): 3317 L(K(x,y),z * K(u,x),w) = L(K(x,y),z,w). [hyper(306,a,3288,a(flip),b,3214,a),flip(a)]. given #3067 (H,wt=21): 3222 T(x \ y,y \ ((y / x) * (z * x))) = T(x \ y,T(z,x)). [para(3142(a,1),3218(a,1,2))]. given #3068 (H,wt=21): 3256 K(x,y * (L(y,z,u) \ x)) = K(x,x * (L(y,z,u) \ y)). [para(1598(a,1),3255(a,1,2))]. given #3069 (H,wt=21): 3258 (x * K((y \ 1) \ (z \ x),z)) * y = (z \ (x * y)) * z. [hyper(120,a,3207,a,b,2497,a(flip))]. given #3070 (H,wt=21): 3259 (x * y) * K(z,x \ (z \ (x * y))) = x * (z * (y / z)). [hyper(64,a,1229,a(flip),b,3228,a),flip(a)]. given #3071 (H,wt=17): 3321 (x * y) * K(z,z \ y) = x * (z * (y / z)). [para(3253(a,1),3259(a,1,2))]. given #3072 (H,wt=19): 3322 (x * (y * (z / y))) / (z / y) = (x * z) / (y \ z). [hyper(119,a,3321,a(flip),b,2999,a)]. given #3073 (H,wt=21): 3261 a(T(x,y),T(x,y) \ 1,z) = L(z,x \ 1,x) \ (1 * z). [para(3260(a,1),2100(a,1,1)),flip(a)]. given #3074 (H,wt=20): 3324 a(T(x,y),T(x,y) \ 1,z) != u | a(x,x \ 1,z) = u. [para(3261(a,2),1574(a,1))]. given #3075 (H,wt=20): 3326 a(T(x,y),T(x \ 1,y),z) != u | a(x,x \ 1,z) = u. [para(2071(a,2),3324(a,1,2))]. given #3076 (H,wt=19): 3327 a(x,T(y,z),T(y \ 1,z)) = a(y,y \ 1,x \ 1). [hyper(3326,a,2298,a),flip(a)]. given #3077 (H,wt=17): 3328 a(x,T(y,z),T(y \ 1,z)) = a(x,y,y \ 1). [hyper(306,a,2279,a(flip),b,3327,a),flip(a)]. given #3078 (H,wt=17): 3329 a(x,T(y,z),T(y,z) \ 1) = a(x,y,y \ 1). [para(2071(a,1),3328(a,1,3))]. given #3079 (H,wt=21): 3278 (x * K(y,z)) * K(u,x \ y) = T(y,z) * T(y \ x,u). [para(2843(a,1),2954(a,1,2))]. given #3080 (H,wt=21): 3285 (x * T(y,L(z,y,x))) \ (x * (y * z)) = L(T(z,y),y,x). [hyper(306,a,25,a,b,3036,a),flip(a)]. given #3081 (H,wt=21): 3292 L(K(x,y),T(x,z) * u,w) = K(L(T(x,z),u,w),T(y,v5)). [para(1939(a,1),3289(a,1,1))]. given #3082 (H,wt=20): 3331 L(K(x,y),T(x,z) * u,w) != v5 | K(L(x,u,w),y) = v5. [para(3292(a,2),2024(a,1))]. given #3083 (H,wt=18): 3332 L(K(x,y),x * z,u) != w | K(L(x,z,u),y) = w. [para(105(a,1),3331(a,1,2,1))]. given #3084 (H,wt=18): 3333 L(K(x,y),z,u) != w | K(L(x,x \ z,u),y) = w. [para(10(a,1),3332(a,1,2))]. given #3085 (H,wt=22): 2805 (x * (y * z)) \ (x * (y * T(z,u))) = L(K(z,u),y * z,x). [para(2782(a,1),18(a,2,2,2)),flip(a)]. given #3086 (H,wt=20): 3334 (x * (y * z)) \ (x * (y * T(z,u))) = K(L(z,y,x),u). [hyper(306,a,3210,a(flip),b,2805,a),flip(a)]. given #3087 (H,wt=20): 3335 (x * (y * z)) * K(L(z,y,x),u) = x * (y * T(z,u)). [hyper(121,a,3210,a(flip),b,2805,a)]. given #3088 (H,wt=20): 3337 T(x,y * (z * T(u,w))) != v5 | T(x,y * (z * u)) = v5. [para(3335(a,1),1536(a,1,2))]. given #3089 (H,wt=22): 2808 ((x * y) * z) * K(y * z,u) = R(x,y,z) * T(y * z,u). [para(102(a,1),2782(a,1,1))]. given #3090 (H,wt=22): 2830 ((T(x,y) * z) * u) / ((x * z) * u) = R(K(x,y),x * z,u). [para(2784(a,1),20(a,2,1,1)),flip(a)]. given #3091 (H,wt=22): 2857 K(x * y,z) * ((u * x) * y) = R(u,x,y) * T(x * y,z). [para(102(a,1),2799(a,1,2))]. given #3092 (H,wt=22): 3005 (x * (y * z)) * K(z,y) != u * w | u \ (x * (z * y)) = w. [para(2785(a,2),633(a,1))]. given #3093 (H,wt=22): 3009 K(x,y) * ((y * x) * z) != u * w | u \ ((x * y) * z) = w. [para(2790(a,2),633(a,1))]. given #3094 (H,wt=22): 3010 K(x * y,z) * ((z * x) * y) = ((x * y) * z) * a(z,x,y). [para(81(a,1),2790(a,1,2))]. given #3095 (H,wt=21): 3341 ((x * y) * z) * a(z,x,y) = R(z,x,y) * T(x * y,z). [hyper(64,a,2857,a(flip),b,3010,a),flip(a)]. given #3096 (H,wt=21): 3342 a(x,y,z) = ((y * z) * x) \ (R(x,y,z) * T(y * z,x)). [hyper(118,a,2857,a(flip),b,3010,a(flip)),flip(a)]. given #3097 (H,wt=21): 3343 T(R(x,y,z) * (y * z),x) = ((y * z) * x) * a(x,y,z). [hyper(306,a,1457,a,b,3341,a)]. given #3098 (H,wt=18): 3344 ((x * y) * z) * a(z,x,y) = T((z * x) * y,z). [para(102(a,1),3343(a,1,1)),flip(a)]. given #3099 (H,wt=20): 3345 (x * y) * a(y,z,z \ x) = T((y * z) * (z \ x),y). [para(10(a,1),3344(a,1,1,1))]. given #3100 (H,wt=22): 3038 a(x,T(y,z),T(z,T(y,z))) = (x * (y * z)) \ ((x * y) * z). [para(2878(a,1),2388(a,1,2)),flip(a)]. given #3101 (H,wt=18): 3346 a(x,T(y,z),T(z,T(y,z))) != u | a(x,y,z) = u. [para(3038(a,2),1084(a,1))]. given #3102 (H,wt=22): 3045 (T(x,y) * z) * T(y,x) != u * w | u \ ((x * z) * y) = w. [para(2947(a,2),633(a,1))]. given #3103 (H,wt=22): 3048 T(x,(y * z) \ ((u * z) * y)) = T(x,R(T(u,y * z),z,y)). [para(1513(a,1),2977(a,1,2)),flip(a)]. given #3104 (H,wt=18): 3347 T(x,(y * z) \ ((u * z) * y)) = T(x,R(u,z,y)). [hyper(306,a,1500,a(flip),b,3048,a),flip(a)]. given #3105 (H,wt=13): 3348 T(x,R(y,z,u)) = T(x,L(y,z,u)). [hyper(2267,a,3347,a),flip(a)]. given #3106 (H,wt=15): 3350 x / T(x,L(y,z,u)) = K(R(y,z,u),x). [hyper(196,a,3348,a(flip),b,1785,a(flip))]. given #3107 (H,wt=13): 3353 K(R(x,y,z),u) = K(L(x,y,z),u). [hyper(1796,a,3350,a),flip(a)]. given #3108 (H,wt=10): 3355 K(R(x,y,z),y) = K(x,y). [hyper(306,a,3230,a(flip),b,3353,a),flip(a)]. given #3109 (H,wt=15): 3352 x \ T(x,L(y,z,u)) = K(x,R(y,z,u)). [hyper(118,a,3348,a(flip),b,1892,a(flip))]. given #3110 (H,wt=13): 3356 K(x,R(y,z,u)) = K(x,L(y,z,u)). [hyper(1913,a,3352,a),flip(a)]. given #3111 (H,wt=10): 3357 K(x,R(y,x,z)) = K(x,y). [hyper(306,a,3238,a(flip),b,3356,a),flip(a)]. given #3112 (H,wt=13): 3359 K(R(x,y,z),y) = K(x,R(y,x,u)). [hyper(306,a,3355,a,b,3357,a)]. given #3113 (H,wt=16): 3354 K(R(x,y,z),u) != w | K(L(x,y,z),u) = w. [para(3350(a,1),1796(a,1))]. given #3114 (H,wt=13): 3362 K(x,y) != z | K(L(x,y,u),y) = z. [para(3355(a,1),3354(a,1))]. given #3115 (H,wt=16): 3360 K(x,R(R(y,x,z),u,w)) = K(x,R(y,u,w)). [para(31(a,1),3357(a,1,2))]. given #3116 (H,wt=18): 3351 R(x,y,z) * T(u,L(x,y,z)) = u * R(x,y,z). [hyper(121,a,3348,a(flip),b,22,a(flip))]. given #3117 (H,wt=22): 3065 ((x \ y) * z) / (y \ x) != u | (y \ x) \ (z * (x \ y)) = u. [para(3023(a,1),839(a,1,1))]. given #3118 (H,wt=22): 3103 T((x * y) \ ((z * x) * y),(y * x) \ 1) = R(z,x,T(y,x)). [para(3011(a,1),2095(a,1,1))]. given #3119 (H,wt=21): 3363 T(R(T(x,y * z),z,y),(y * z) \ 1) = R(x,z,T(y,z)). [para(1513(a,1),3103(a,1,1))]. given #3120 (H,wt=21): 3364 R(T(T(x,y * z),(y * z) \ 1),z,y) = R(x,z,T(y,z)). [hyper(64,a,27,a,b,3363,a)]. given #3121 (H,wt=11): 3365 R(x,y,T(z,y)) = R(x,y,z). [para(2053(a,1),3364(a,1,1)),flip(a)]. given #3122 (H,wt=16): 3366 R(x,y,z) = ((x * y) * T(z,y)) / (z * y). [hyper(2424,a,3365,a),flip(a)]. given #3123 (H,wt=18): 3367 R(x,y,L(y \ 1,y,z)) = R(x,y,z \ (z / y)). [para(1117(a,1),3365(a,1,3))]. given #3124 (H,wt=22): 3106 a((x * y) / x,x,z) = (y * (T(x,y) * z)) \ ((x * y) * z). [para(3069(a,1),84(a,1,1)),flip(a)]. given #3125 (H,wt=15): 3368 a((x * y) / x,x,z) = a(y,T(x,y),z). [hyper(306,a,221,a(flip),b,3106,a),flip(a)]. given #3126 (H,wt=15): 3369 a(x * (y / x),x,z) = a(y,T(x,y),z). [para(850(a,1),3368(a,1,1))]. given #3127 (H,wt=15): 3370 a(T(x,y \ 1),y,z) = a(x,T(y,x),z). [para(2051(a,2),3368(a,1,1))]. given #3128 (H,wt=22): 3160 (x * T(y,y \ 1)) * L(z,y,x) = x * (T(y,y \ 1) * z). [hyper(121,a,3158,a(flip),b,18,a(flip))]. given #3129 (H,wt=22): 3163 L((x \ (x / y)) \ z,x \ (y \ x),x) = (x / y) \ (x * z). [hyper(677,a,3137,a),flip(a)]. given #3130 (H,wt=22): 3277 x * (y * T(y \ (x \ z),x * y)) != u | T(z,x * y) = u. [para(2892(a,1),882(a,1))]. given #3131 (H,wt=22): 3284 K(x,(y * z) \ ((K(x,u) * y) * z)) = K(x,a(K(x,u),y,z)). [para(14(a,2),3281(a,1,2)),flip(a)]. given #3132 (H,wt=21): 3373 K(x,R(T(K(x,y),z * u),z,u)) = K(x,a(K(x,y),z,u)). [para(745(a,1),3284(a,1,2))]. given #3133 (H,wt=10): 3374 K(x,a(K(x,y),z,u)) = 1. [hyper(64,a,1187,a(flip),b,3373,a),flip(a)]. given #3134 (H,wt=10): 3377 K(a(K(x,y),z,u),x) = 1. [hyper(117,a,3374,a,b,2176,a),flip(a)]. given #3135 (H,wt=10): 3378 T(x,a(K(x,y),z,u)) = x. [hyper(57,a,3374,a)]. given #3136 (H,wt=14): 3381 T(T(x,y),a(K(x,z),u,w)) = T(x,y). [para(3378(a,1),23(a,1,1)),flip(a)]. given #3137 (H,wt=15): 3379 K(x,a(K(x,y),z,u)) * w != v5 | v5 = w. [para(3374(a,2),122(a,1,1))]. given #3138 (H,wt=15): 3380 T(a(K(x,y),z,u),x) = a(K(x,y),z,u). [hyper(57,a,3377,a)]. given #3139 (H,wt=22): 3338 T(x,y * (z * (u / w))) != v5 | T(x,y * (z * (w \ u))) = v5. [para(2066(a,1),3337(a,1,2,2,2))]. given #3140 (H,wt=23): 2861 ((x * y) * K(L(z,y,x),u)) \ (x * (y * T(z,u))) = L(z,y,x). [hyper(118,a,530,a(flip),b,2802,a)]. given #3141 (H,wt=23): 2900 (x * (y * T(y \ z,u))) / (x * z) = K((x * z) / (x * y),u). [hyper(64,a,2165,a,b,2841,a)]. given #3142 (H,wt=23): 2996 K(a(x,y,z),u) != w | K(u,((x * y) * z) \ (x * (y * z))) = w. [para(14(a,2),2895(a,1,1))]. given #3143 (H,wt=23): 3039 (x * T(T(x,y),y)) / ((x / y) \ T(x,y)) = ((x / y) \ 1) \ x. [para(2882(a,1),2503(a,1,1))]. given #3144 (H,wt=23): 3066 (x \ y) * T((y \ x) \ z,x \ y) = ((x \ y) * z) / (y \ x). [hyper(64,a,2636,a(flip),b,3024,a)]. given #3145 (H,wt=23): 3081 K(x,y) * ((x / y) * (z * K(y \ x,u))) = T(y \ x,u) * z. [hyper(306,a,2822,a(flip),b,3079,a),flip(a)]. given #3146 (H,wt=19): 3384 K(x,y) * (T(x / y,z) * u) = T(y \ x,z) * u. [para(2880(a,1),3081(a,1,2))]. given #3147 (H,wt=19): 3385 K(x,y) * (T(x \ y,z) * u) = T(y / x,z) * u. [hyper(2921,a,3384,a)]. given #3148 (H,wt=22): 3386 K(x,y) * (T(x \ y,z) * u) != w | T(y / x,z) * u = w. [para(3384(a,1),2934(a,1,2)),flip(b)]. given #3149 (H,wt=22): 3387 K(x,y) * (T(x / y,z) * u) != w | T(y \ x,z) * u = w. [para(3385(a,1),2934(a,1,2)),flip(b)]. given #3150 (H,wt=23): 3191 T(x,y \ 1) \ ((T(x,y \ 1) * y) * z) = x \ ((x * y) * z). [para(2054(a,2),3180(a,1,2,1))]. given #3151 (H,wt=23): 3273 x \ y != T(z,x) * T(u,x * z) | L(u,z,x) * (z * x) = y. [para(3269(a,1),48(a,1)),flip(a)]. given #3152 (H,wt=23): 3358 ((x * y) * z) * K(y * z,L(x,y,z)) = (y * z) * R(x,y,z). [hyper(121,a,3356,a(flip),b,619,a)]. given #3153 (H,wt=23): 3361 K(x \ R(x,y,z),R(x,x \ R(x,y,z),u)) = K(a(x,y,z),x). [hyper(2289,a,3359,a),flip(a)]. given #3154 (H,wt=8): 3389 K(a(x,y,z),x) = 1. [hyper(2271,a,3361,a),flip(a)]. given #3155 (H,wt=11): 3391 T(a(x,y,z),x) = a(x,y,z). [hyper(57,a,3389,a)]. given #3156 (H,wt=8): 3393 T(x,a(x,y,z)) = x. [hyper(55,a,3391,a)]. given #3157 (H,wt=13): 3394 a(x,y,z) * x = x * a(x,y,z). [hyper(121,a,3391,a(flip),b,22,a(flip)),flip(a)]. given #3158 (H,wt=17): 3392 T(a(T(x,y),z,u),x \ 1) = a(T(x,y),z,u). [hyper(2094,a,3391,a)]. given #3159 (H,wt=23): 3382 K((x * y) / (x * (z \ y)),u) = (x * (K(z,u) * y)) / (x * y). [para(2887(a,1),2900(a,1,1,2)),flip(a)]. given #3160 (H,wt=23): 3383 (x \ y) * T((y \ x) \ z,x \ y) = (y \ x) \ (z * (x \ y)). [hyper(306,a,3064,a(flip),b,3066,a),flip(a)]. given #3161 (H,wt=19): 3397 (x \ y) \ (z * (y \ x)) = (y \ x) * (z / (x \ y)). [para(3024(a,1),3383(a,1,2)),flip(a)]. given #3162 (H,wt=23): 3396 K(x,(y * z) / (y * (u \ z))) * (y * (K(u,x) * z)) = y * z. [hyper(2933,a,3382,a)]. given #3163 (H,wt=23): 3398 (x \ (x * y)) * (z / ((x * y) \ x)) = ((x * y) \ x) \ (z * y). [para(9(a,1),3397(a,1,2,2)),flip(a)]. given #3164 (H,wt=23): 3400 (x \ (x * y)) * (z / ((x * y) \ x)) = (x \ (x / y)) \ (z * y). [para(320(a,1),3398(a,2,1))]. given #3165 (H,wt=19): 3401 (x \ (x / y)) \ (z * y) = y * (z / ((x * y) \ x)). [para(9(a,1),3400(a,1,1)),flip(a)]. given #3166 (H,wt=19): 3402 (x \ (x / y)) \ (z * y) = y * (z / (x \ (x / y))). [para(320(a,1),3401(a,2,2,2))]. given #3167 (H,wt=24): 2926 x * L(y,K(z,u),x * K(u,z)) = (x * K(u,z)) * (K(z,u) * y). [hyper(120,a,2908,a(flip),b,186,a)]. given #3168 (H,wt=24): 2945 L((K(x,y) * z) \ u,K(x,y) * z,K(y,x)) = z \ (K(y,x) * u). [para(2914(a,1),95(a,2,1))]. given #3169 (H,wt=24): 2968 L(T(K(x,y),z),K(y,x) * z,u) = (u * (K(y,x) * z)) \ (u * z). [para(2936(a,1),95(a,1,1))]. given #3170 (H,wt=24): 3044 (T(x,y) * (z * T(y,x))) \ ((x * z) * y) = a(T(x,y),z,T(y,x)). [hyper(118,a,2947,a(flip),b,81,a)]. given #3171 (H,wt=20): 3407 (x * (y * z)) \ ((x * y) * z) = a(T(x,z),y,T(z,x)). [para(2883(a,1),3044(a,1,1))]. given #3172 (H,wt=13): 3408 a(T(x,y),z,T(y,x)) = a(x,z,y). [hyper(1084,a,3407,a),flip(a)]. given #3173 (H,wt=16): 3409 a(T(x,y),z,T(y,x)) != u | a(x,z,y) = u. [para(3407(a,1),1084(a,1))]. given #3174 (H,wt=17): 3410 a(T(x * y,x),z,T(x,y)) = a(x * y,z,x). [para(414(a,1),3408(a,1,3))]. given #3175 (H,wt=15): 3414 a(x * y,z,T(y,x)) = a(y * x,z,y). [para(792(a,1),3410(a,1,1))]. given #3176 (H,wt=17): 3411 a(T(x,y),z,T(T(y,u),x)) = a(x,z,T(y,u)). [para(1484(a,1),3408(a,1,1))]. given #3177 (H,wt=20): 3413 a(T(x,y),z,T(T(y,u),x)) != w | a(x,z,T(y,u)) = w. [para(1484(a,1),3409(a,1,1))]. given #3178 (H,wt=21): 3412 a(x * y,z,T(x \ 1,y * x)) = a(y * x,z,x \ 1). [para(2049(a,1),3408(a,1,1))]. given #3179 (H,wt=21): 3415 a((x / y) * y,z,T(y,x / y)) = a(T(x,y \ 1),z,y). [para(2041(a,2),3414(a,2,1))]. given #3180 (H,wt=17): 3417 a(T(x,y \ 1),z,y) = a(x,z,T(y,x / y)). [para(12(a,1),3415(a,1,1)),flip(a)]. given #3181 (H,wt=15): 3418 a(T(x,y \ 1),z,y) = a(x,z,T(y,x)). [para(902(a,1),3417(a,2,3))]. given #3182 (H,wt=15): 3419 a(T(x,y \ x),z,y) = a(x,z,T(y,x)). [para(2039(a,1),3418(a,1,1))]. given #3183 (H,wt=21): 3416 a(x * y,z,T(x \ 1,x * y)) = a(y * x,z,x \ 1). [para(1479(a,1),3412(a,1,3))]. given #3184 (H,wt=24): 3052 R(x,y,z) * (K(u,R(x,y,z)) * w) = R(x * K(u,x),y,z) * w. [hyper(120,a,1883,a(flip),b,2986,a),flip(a)]. given #3185 (H,wt=24): 3057 (x * (y * (z * K(y,x)))) \ ((y * x) * z) = a(x,y,z * K(y,x)). [para(2992(a,1),1011(a,1,2))]. given #3186 (H,wt=22): 3421 (x * (T(y,x) * z)) \ ((y * x) * z) = a(x,y,z * K(y,x)). [para(2822(a,1),3057(a,1,1,2))]. given #3187 (H,wt=15): 3422 a(x,y,z * K(y,x)) = a(x,T(y,x),z). [hyper(1365,a,3421,a),flip(a)]. given #3188 (H,wt=15): 3423 a(x,T(y,x),z * K(x,y)) = a(x,y,z). [para(2908(a,1),3422(a,1,3)),flip(a)]. given #3189 (H,wt=24): 3115 K(x,y) * K(L(y,z,u),x) != w | K(x * L(y,z,u),x * y) = w. [para(3105(a,1),2691(a,1))]. given #3190 (H,wt=24): 3202 L(K((K(x,y) * z) \ u,w),u,K(y,x)) = K(z \ (K(y,x) * u),w). [para(2914(a,1),3198(a,2,1,1))]. given #3191 (H,wt=19): 3424 K((K(x,y) * z) \ u,y) = K(z \ (K(y,x) * u),y). [hyper(64,a,2759,a(flip),b,3202,a)]. given #3192 (H,wt=24): 3287 (T(x,y) * z) \ (T(x,y) * (z / x)) = L(x \ 1,x,z * K(x,y)). [hyper(64,a,2568,a(flip),b,3286,a)]. given #3193 (H,wt=20): 3425 (T(x,y) * z) \ (T(x,y) * (z / x)) = L(x \ 1,x,z). [hyper(306,a,2430,a(flip),b,3287,a),flip(a)]. given #3194 (H,wt=24): 3320 T(x \ y,y \ ((y / x) * (z * x))) != u | T(x \ y,T(z,w)) = u. [para(3222(a,2),1532(a,1))]. given #3195 (H,wt=24): 3395 (x * y) \ ((x * a(x,z,u)) * y) = R(T(a(x,z,u),x * y),x,y). [para(3394(a,1),745(a,1,2,1))]. given #3196 (H,wt=24): 3403 x * L(y,K(z,u),K(u,z) * x) = (x * K(u,z)) * (K(z,u) * y). [para(244(a,2),2926(a,1,2,3))]. given #3197 (H,wt=24): 3406 L(T(K(x,y),z),K(y,x) * z,u) = (u * (K(x,y) \ z)) \ (u * z). [para(2913(a,2),2968(a,2,1,2))]. given #3198 (H,wt=25): 2821 (x * T(y,z)) * L(K(u,y),w,v5) = x * (T(y,z) * L(K(u,y),w,v5)). [para(2816(a,1),527(a,1,2,1))]. given #3199 (H,wt=25): 2832 ((T(x,y) * z) * u) / ((x * z) * u) != w | R(K(x,y),x * z,u) = w. [para(2784(a,1),621(a,1,1,1))]. given #3200 (H,wt=25): 3067 T(x * y,(z / x) \ z) * (z \ (z / x)) = x * ((z \ (z / x)) * y). [hyper(306,a,2640,a(flip),b,3025,a),flip(a)]. given #3201 (H,wt=21): 3429 T(x * y,x) * (z \ (z / x)) = x * ((z \ (z / x)) * y). [para(78(a,1),3067(a,1,1,2))]. given #3202 (H,wt=19): 3430 (x * y) * (z \ (z / y)) = y * ((z \ (z / y)) * x). [para(792(a,1),3429(a,1,1))]. given #3203 (H,wt=25): 3136 (L(x,y,z) * (y * z)) \ (x * (y * z)) = a(z,T(y,z),T(x,y * z)). [para(3127(a,1),2647(a,1,1,1))]. given #3204 (H,wt=25): 3197 T(x,y \ z) * T(u / x,(z \ y) \ 1) = T(u,x \ ((z \ y) \ 1)). [para(3020(a,1),3196(a,1,1))]. given #3205 (H,wt=23): 3432 T(x,y \ z) * T(u / x,y \ z) = T(u,x \ ((z \ y) \ 1)). [para(3020(a,1),3197(a,1,2))]. given #3206 (H,wt=17): 3433 T(x,y \ ((z \ u) \ 1)) = T(x,y \ (u \ z)). [hyper(64,a,3196,a(flip),b,3432,a),flip(a)]. given #3207 (H,wt=15): 3434 T(x,y \ ((y \ z) \ 1)) = T(x,z \ 1). [hyper(306,a,3028,a(flip),b,3433,a),flip(a)]. given #3208 (H,wt=15): 3435 T(x,(y * z) \ 1) = T(x,y \ (z \ 1)). [para(9(a,1),3434(a,1,2,2,1)),flip(a)]. given #3209 (H,wt=15): 3436 T(x,(y * z) \ 1) = T(x,z \ (y \ 1)). [hyper(306,a,3029,a,b,3435,a),flip(a)]. given #3210 (H,wt=17): 3437 (x \ 1) * T(x,y \ (z \ 1)) = K(y * z,x). [para(3435(a,1),2076(a,2,2)),flip(a)]. given #3211 (H,wt=13): 3443 K(x,y \ (z \ 1)) = K(y * z,x). [hyper(1959,a,3437,a)]. given #3212 (H,wt=13): 3444 K((x \ 1) \ y,z) = K(y * x,z). [hyper(2855,a,3443,a)]. given #3213 (H,wt=13): 3445 K(x * (y \ 1),z) = K(z,x \ y). [hyper(2033,a,3443,a),flip(a)]. given #3214 (H,wt=13): 3446 K(x,y \ (z \ 1)) = K(z * y,x). [hyper(306,a,1819,a,b,3443,a),flip(a)]. given #3215 (H,wt=13): 3450 K((x \ 1) \ y,z) = K(x * y,z). [hyper(306,a,1819,a,b,3444,a),flip(a)]. given #3216 (H,wt=13): 3454 K(x * (y \ 1),z) = K(x / y,z). [hyper(306,a,2848,a,b,3445,a),flip(a)]. given #3217 (H,wt=13): 3459 K(x * (1 / y),z) = K(x / y,z). [hyper(1881,a,3454,a)]. given #3218 (H,wt=15): 3453 (x * K(x * y,z)) * y = T(x * y,z). [para(3444(a,1),3016(a,1,1,2))]. given #3219 (H,wt=15): 3455 K(x,(y * z) \ 1) = K(x,z \ (y \ 1)). [hyper(306,a,2072,a,b,3446,a)]. given #3220 (H,wt=15): 3457 x * (y * K(x * y,z)) = T(x * y,z). [para(3450(a,1),2896(a,1,2,2))]. given #3221 (H,wt=15): 3460 K(x * (1 / y),z) = z / T(z,x / y). [hyper(306,a,1788,a(flip),b,3459,a),flip(a)]. given #3222 (H,wt=13): 3464 T(x,y * (1 / z)) = T(x,y / z). [hyper(1807,a,3460,a)]. given #3223 (H,wt=13): 3465 T(x,y * (1 / z)) = T(x,z \ y). [hyper(306,a,1498,a(flip),b,3464,a),flip(a)]. given #3224 (H,wt=13): 3466 T(x,y * (z \ 1)) = T(x,z \ y). [hyper(64,a,2731,a(flip),b,3465,a)]. given #3225 (H,wt=13): 3467 T(x,(y \ 1) \ z) = T(x,z * y). [para(75(a,1),3465(a,1,2,2)),flip(a)]. given #3226 (H,wt=13): 3470 T(x,(y \ 1) * z) = T(x,y \ z). [hyper(1529,a,3466,a)]. given #3227 (H,wt=13): 3475 T(x,(y \ 1) \ z) = T(x,y * z). [hyper(306,a,1479,a,b,3467,a),flip(a)]. given #3228 (H,wt=11): 3479 T(x * (y / x),x * y) = y. [hyper(64,a,2060,a(flip),b,3475,a),flip(a)]. given #3229 (H,wt=15): 3461 K(x,((y \ 1) * z) \ 1) = K(x,z \ y). [hyper(306,a,2258,a(flip),b,3455,a),flip(a)]. given #3230 (H,wt=13): 3482 K(x,(y \ 1) \ z) = K(x,y * z). [hyper(1874,a,3461,a),flip(a)]. given #3231 (H,wt=13): 3484 K(x,(y \ 1) \ z) = K(x,z * y). [hyper(306,a,1953,a,b,3482,a),flip(a)]. given #3232 (H,wt=15): 3471 T(x,y * (z \ 1)) = x * K(x,z \ y). [hyper(306,a,1892,a(flip),b,3466,a),flip(a)]. given #3233 (H,wt=16): 3449 K(x * (y \ 1),z) != u | K(z,x \ y) = u. [para(3443(a,1),2033(a,1))]. given #3234 (H,wt=16): 3456 K(x,y \ (z \ 1)) != u | K(y * z,x) = u. [para(3446(a,2),1845(a,1))]. given #3235 (H,wt=16): 3480 T(x,(y \ 1) \ z) != u | T(x,z * y) = u. [para(3475(a,2),1529(a,1))]. given #3236 (H,wt=16): 3483 K(x,(y \ 1) \ z) != u | K(x,y * z) = u. [para(3461(a,1),1874(a,1))]. given #3237 (H,wt=16): 3486 T(x,y * (z \ 1)) != u | T(x,z \ y) = u. [para(3471(a,2),1894(a,1))]. given #3238 (H,wt=16): 3490 T(x,(y \ 1) * z) != u | T(x,y \ z) = u. [para(1479(a,1),3486(a,1))]. given #3239 (H,wt=18): 3439 T(x,(y * z) \ 1) != u | T(x,z \ (y \ 1)) = u. [para(3435(a,2),3077(a,1))]. given #3240 (H,wt=18): 3442 T(x,(y * z) \ 1) != u | T(x,y \ (z \ 1)) = u. [para(3436(a,2),3077(a,1))]. given #3241 (H,wt=19): 3447 K(x * ((y \ 1) * z),u) = K(u,x \ ((z \ 1) * y)). [para(561(a,1),3443(a,1,2,2)),flip(a)]. given #3242 (H,wt=19): 3458 (x * K(y * (z \ x),z)) * y = (z \ (x * y)) * z. [para(3450(a,1),3258(a,1,1,2))]. given #3243 (H,wt=19): 3472 T(x,(y * T(z,u)) \ w) = T(x,w * ((y * z) \ 1)). [hyper(64,a,2743,a(flip),b,3466,a),flip(a)]. given #3244 (H,wt=17): 3493 T(x,(y * T(z,u)) \ w) = T(x,(y * z) \ w). [hyper(306,a,3466,a(flip),b,3472,a),flip(a)]. given #3245 (H,wt=19): 3473 T(x,((y \ 1) * z) \ u) = T(x,u * ((z \ 1) * y)). [para(561(a,1),3466(a,1,2,2)),flip(a)]. given #3246 (H,wt=19): 3485 K(x,((y \ 1) * z) \ u) = K(x,u * ((z \ 1) * y)). [para(561(a,1),3484(a,1,2,1))]. given #3247 (H,wt=19): 3491 K(x * ((y \ 1) * z),u) = K(u,x \ (y * (z \ 1))). [hyper(2264,a,3447,a(flip)),flip(a)]. given #3248 (H,wt=19): 3494 T(x,(y * (z / u)) \ w) = T(x,(y * (u \ z)) \ w). [para(108(a,1),3493(a,1,2,1,2)),flip(a)]. given #3249 (H,wt=20): 3438 L(T(x,y \ (z \ 1)),z,y) = (y * (z * x)) / (y * z). [para(3435(a,1),2089(a,1,1))]. given #3250 (H,wt=20): 3441 (T(x,y \ (z \ 1)) * z) * y = (z * y) * R(x,z,y). [para(3436(a,1),2090(a,1,1,1))]. given #3251 (H,wt=21): 3481 L(x * (y / x),z,u) \ (x * y) = (x * y) / L(y,z,u). [para(3479(a,1),415(a,1,2,1)),flip(a)]. given #3252 (H,wt=21): 3497 L(x * (y / x),z,u) \ (x * y) = (x / L(y,z,u)) * y. [hyper(306,a,2455,a(flip),b,3481,a),flip(a)]. given #3253 (H,wt=22): 3487 K(x,y \ ((z \ 1) * u)) != w | K(y * ((u \ 1) * z),x) = w. [para(561(a,1),3456(a,1,2,2))]. given #3254 (H,wt=22): 3488 K(x,y \ (z / (u \ 1))) != w | K(y * (u \ (z \ 1)),x) = w. [para(568(a,1),3456(a,1,2,2))]. given #3255 (H,wt=22): 3489 T(x,y * ((z \ 1) * u)) != w | T(x,((u \ 1) * z) \ y) = w. [para(561(a,1),3486(a,1,2,2))]. given #3256 (H,wt=22): 3496 K(x * (((y * z) \ 1) * z),u) = K(u,x \ L(y,z,z \ 1)). [para(2131(a,1),3491(a,2,2,2))]. given #3257 (H,wt=22): 3498 K(x,y \ ((z \ 1) \ u)) != w | K(y * (z \ (u \ 1)),x) = w. [para(2257(a,1),3488(a,1))]. given #3258 (H,wt=23): 3440 T(x,(y * ((z * u) \ y)) \ 1) = T(x,(z \ y) \ ((y / u) \ 1)). [para(33(a,1),3436(a,1,2,1))]. given #3259 (H,wt=23): 3476 T(x,L(y,z \ 1,u \ 1) \ w) = T(x,w * R(y \ 1,z,u)). [para(2585(a,2),3467(a,1,2,1))]. given #3260 (H,wt=23): 3492 (x \ (y * z)) * K(x * (y \ (x \ (y * z))),y) = x \ (z * y). [hyper(36,a,2498,a(flip),b,3458,a),flip(a)]. given #3261 (H,wt=24): 3499 T(x,(y \ z) \ ((z / u) \ 1)) != w | T(x,z \ (z \ (y * u))) = w. [para(3440(a,1),3076(a,1))]. given #3262 (H,wt=24): 3500 T(x,(y \ z) \ ((u \ z) \ 1)) != w | T(x,z \ (z \ (y * u))) = w. [para(2255(a,1),3499(a,1))]. given #3263 (H,wt=22): 3501 T(x,(y \ z) \ (z \ u)) != w | T(x,z \ (z \ (y * u))) = w. [para(3433(a,1),3500(a,1))]. given #3264 (H,wt=25): 3303 (x * K(y,z)) * L(K(z,u),w,v5) = x * (K(y,z) * L(K(z,u),w,v5)). [para(3300(a,1),527(a,1,2,1))]. given #3265 (H,wt=25): 3311 (K(x,y) * L(K(z,x),u,w)) * v5 = K(x,y) * (L(K(z,x),u,w) * v5). [para(3306(a,1),1650(a,1,2))]. given #3266 (H,wt=25): 3316 x / (K(y \ x,z) * (y * (x / y))) = K(z,y \ x) * K(y \ x,y). [para(1763(a,1),3315(a,1,1))]. given #3267 (H,wt=25): 3336 (x * (y * z)) \ (x * (y * T(z,u))) = K(u,(x * (y * z)) \ (x * y)). [hyper(306,a,2844,a,b,3334,a),flip(a)]. given #3268 (H,wt=25): 3339 R(x,y,z) * T(y * z,u) != w | ((x * y) * z) * K(y * z,u) = w. [para(2857(a,1),373(a,1))]. given #3269 (H,wt=25): 3371 (x * T(y,y \ 1)) * z != x * (T(y,y \ 1) * u) | L(u,y,x) = z. [para(3160(a,1),44(a,1)),flip(a)]. given #3270 (H,wt=25): 3404 (x * K(y,z)) * (K(z,y) * R(K(y,u),w,v5)) = x * R(K(y,u),w,v5). [para(3302(a,1),2926(a,1,2)),flip(a)]. given #3271 (H,wt=25): 3420 R(x * K(y,x),z,u) * (z * u) = K(y,R(x,z,u)) * ((x * z) * u). [hyper(64,a,2228,a(flip),b,3052,a),flip(a)]. given #3272 (H,wt=22): 3506 K(x,R(y,z,u)) * ((y * z) * u) = ((y * K(x,y)) * z) * u. [hyper(280,a,3420,a),flip(a)]. given #3273 (H,wt=22): 3507 K(x,R(y,z,u)) * ((y * z) * u) = (y * (K(x,y) * z)) * u. [para(2987(a,1),3506(a,2,1))]. given #3274 (H,wt=15): 3508 R(K(x,y),y * z,u) = K(x,R(y,z,u)). [hyper(36,a,2227,a,b,3507,a)]. given #3275 (H,wt=15): 3509 K(x,R(y,y \ z,u)) = R(K(x,y),z,u). [para(10(a,1),3508(a,1,2)),flip(a)]. given #3276 (H,wt=19): 3511 K(x,R(y,T(y,z) \ u,w)) = R(K(x,T(y,z)),u,w). [hyper(1976,a,3509,a)]. given #3277 (H,wt=17): 3512 K(x,R(y,T(y,z) \ u,w)) = R(K(x,y),u,w). [para(1937(a,1),3511(a,2,1))]. given #3278 (H,wt=17): 3513 R(K(x,y),T(y,z) * u,w) = K(x,R(y,u,w)). [para(9(a,1),3512(a,1,2,2)),flip(a)]. given #3279 (H,wt=15): 3516 R(K(x,y),z * y,u) = K(x,R(y,z,u)). [para(2054(a,1),3513(a,1,2))]. given #3280 (H,wt=17): 3517 R(K(x,y \ z),z,u) = K(x,R(y \ z,y,u)). [para(10(a,1),3516(a,1,2))]. given #3281 (H,wt=19): 3514 K(x,R(T(y,z),y \ u,w)) = R(K(x,T(y,z)),u,w). [para(866(a,1),3512(a,1,2,2,1))]. given #3282 (H,wt=16): 3519 K(x,R(T(y,z),y \ 1,u)) = K(x,T(y,z)). [hyper(306,a,449,a(flip),b,3514,a),flip(a)]. given #3283 (H,wt=16): 3520 T(K(x,y),z) = K(x,R(T(y,u),y \ 1,w)). [hyper(306,a,1944,a,b,3519,a)]. given #3284 (H,wt=25): 3448 K(x,(y \ 1) \ (((y \ 1) / z) * u)) = K((((y \ 1) / u) * z) * y,x). [para(732(a,1),3443(a,1,2))]. given #3285 (H,wt=23): 3522 K((((x \ 1) / y) * z) * x,u) = K(u,x * (((x \ 1) / z) * y)). [hyper(3483,a,3448,a),flip(a)]. given #3286 (H,wt=23): 3523 K(x * (((x \ 1) / y) * z),u) = K(u,x * (((x \ 1) / z) * y)). [hyper(1845,a,3522,a)]. given #3287 (H,wt=25): 3474 (x \ 1) * (y * T(R(x,z,u),x \ y)) = R(x,z,u) * ((x \ 1) * y). [para(3466(a,1),2605(a,1,2,2))]. given #3288 (H,wt=25): 3495 K(x,y * ((z \ 1) * ((u \ 1) \ w))) = K(x,(((w \ 1) / u) * z) \ y). [para(569(a,1),3485(a,1,2,1,1)),flip(a)]. given #3289 (H,wt=25): 3502 (x * K(y,z)) * (K(z,y) * L(K(y,u),w,v5)) = x * L(K(y,u),w,v5). [para(2908(a,1),3303(a,1,1)),flip(a)]. given #3290 (H,wt=25): 3510 R(K(x,R(y,z,u)),(y * z) * u,w) = K(x,R(R(y,z,u),z * u,w)). [para(102(a,1),3508(a,1,2))]. given #3291 (H,wt=22): 3527 R(K(x,R(y,x,z)),(y * x) * z,u) = K(x,R(y,x * z,u)). [hyper(306,a,3360,a(flip),b,3510,a),flip(a)]. given #3292 (H,wt=19): 3528 R(K(x,y),(y * x) * z,u) = K(x,R(y,x * z,u)). [para(3357(a,1),3527(a,1,1))]. given #3293 (H,wt=25): 3525 (x \ 1) * (y * R(T(x,x \ y),z,u)) = R(x,z,u) * ((x \ 1) * y). [para(27(a,2),3474(a,1,2,2))]. given #3294 (H,wt=23): 3530 (x \ 1) * (y * R(T(x,y),z,u)) = R(x,z,u) * ((x \ 1) * y). [para(404(a,1),3525(a,1,2,2,1))]. given #3295 (H,wt=21): 3531 R(x,y,z) * ((x \ 1) * u) = (x \ 1) * (R(x,y,z) * u). [para(229(a,1),3530(a,1,2)),flip(a)]. given #3296 (H,wt=21): 3532 (x \ 1) \ (R(x,y,z) * u) = R(x,y,z) * ((x \ 1) \ u). [hyper(696,a,3531,a)]. given #3297 (H,wt=26): 2928 (x * y) \ ((x * (y * K(z,u))) * K(u,z)) = a(x,y * K(z,u),K(u,z)). [para(2908(a,1),14(a,2,1,2)),flip(a)]. given #3298 (H,wt=26): 3312 (x * y) \ ((x * (y * K(z,u))) * K(u,w)) = L(K(z,u),y,x) * K(u,w). [para(3306(a,1),634(a,1,1))]. given #3299 (H,wt=21): 3534 a(x,y * K(z,u),K(u,z)) = L(K(z,u),y,x) * K(u,z). [hyper(64,a,2928,a(flip),b,3312,a)]. given #3300 (H,wt=21): 3535 a(x,y * K(z,u),K(u,z)) = K(u,z) * L(K(z,u),y,x). [hyper(306,a,244,a,b,3534,a),flip(a)]. given #3301 (H,wt=21): 3536 K(x,y) * L(K(y,x),z * K(x,y),u) = a(u,z,K(x,y)). [para(2908(a,1),3535(a,1,2)),flip(a)]. given #3302 (H,wt=10): 3537 T(x,a(y,z,K(u,w))) = x. [para(3536(a,1),1480(a,1,2))]. given #3303 (H,wt=13): 3541 T(x,a(y,z,K(u,w))) != v5 | x = v5. [para(3537(a,1),50(a,2))]. given #3304 (H,wt=17): 3538 K(x,y) * L(K(y,x),z,u) = a(u,z,K(x,y)). [para(3317(a,1),3536(a,1,2))]. given #3305 (H,wt=17): 3539 a(x,y,K(z,u)) * w = w * a(x,y,K(z,u)). [hyper(1407,a,3537,a),flip(a)]. given #3306 (H,wt=17): 3540 (x * a(y,z,K(u,w))) / x = a(y,z,K(u,w)). [hyper(196,a,3537,a(flip),b,22,a(flip))]. given #3307 (H,wt=17): 3544 K(x,y) * a(z,u,K(y,x)) = L(K(x,y),u,z). [hyper(2921,a,3538,a)]. given #3308 (H,wt=17): 3545 L(K(x,y),z,u) * K(y,x) = a(u,z,K(y,x)). [hyper(1175,a,3538,a)]. given #3309 (H,wt=17): 3546 a(x,y * K(z,u),K(z,u)) = a(x,y,K(z,u)). [hyper(64,a,3536,a(flip),b,3538,a),flip(a)]. given #3310 (H,wt=19): 3547 T(x,y) * L(K(y,x),z,u) = x * a(u,z,K(x,y)). [hyper(121,a,3538,a(flip),b,2829,a),flip(a)]. given #3311 (H,wt=19): 3548 K(x,y) * K(L(y,z,u),x) = a(u,z * y,K(x,y)). [para(3210(a,1),3538(a,1,2))]. given #3312 (H,wt=20): 3542 a(x,y,K(z,u)) * w != v5 | w * a(x,y,K(z,u)) = v5. [para(3537(a,1),281(a,1,2))]. given #3313 (H,wt=20): 3543 x * a(y,z,K(u,w)) != v5 | a(y,z,K(u,w)) * x = v5. [para(3537(a,1),818(a,1)),flip(a)]. given #3314 (H,wt=21): 3550 K(x,y) * (L(K(y,x),z,u) * w) = a(u,z,K(x,y)) * w. [para(3538(a,1),3311(a,1,1)),flip(a)]. given #3315 (H,wt=21): 3551 (x * K(y,z)) * a(u,w,K(z,y)) = x * L(K(y,z),w,u). [para(3538(a,1),3502(a,1,2))]. given #3316 (H,wt=22): 3553 (x * y) \ ((x * (y * K(z,u))) * K(u,z)) = a(x,y,K(u,z)). [hyper(64,a,3312,a,b,3545,a)]. given #3317 (H,wt=23): 3554 (x * T(y,z)) * L(K(z,y),u,w) = (x * y) * a(w,u,K(y,z)). [para(2820(a,1),3551(a,1,1)),flip(a)]. given #3318 (H,wt=23): 3556 x * (T(y,z) * L(K(z,y),u,w)) = (x * y) * a(w,u,K(y,z)). [hyper(64,a,2821,a(flip),b,3554,a)]. given #3319 (H,wt=21): 3557 (x * y) * a(z,u,K(y,w)) = x * (y * a(z,u,K(y,w))). [para(3547(a,1),3556(a,1,2)),flip(a)]. given #3320 (H,wt=11): 3558 a(x,y,a(z,u,K(y,w))) = 1. [hyper(117,a,3557,a(flip),b,81,a),flip(a)]. given #3321 (H,wt=26): 3388 ((x * y) * z) * u != (y * z) * R(x,y,z) | K(y * z,L(x,y,z)) = u. [para(3358(a,1),44(a,1)),flip(a)]. given #3322 (H,wt=27): 2833 (T(x,y) * z) \ (K(x,y) * (x * (z * u))) = L(L(u,z,x),x * z,K(x,y)). [para(2784(a,1),593(a,1,1))]. given #3323 (H,wt=25): 3559 L(L(x,y,z),z * y,K(z,u)) = (T(z,u) * y) \ (T(z,u) * (y * x)). [para(2784(a,1),2833(a,1,2)),flip(a)]. given #3324 (H,wt=18): 3560 L(L(x,y,z),z * y,K(z,u)) = L(x,y,T(z,u)). [hyper(306,a,18,a,b,3559,a),flip(a)]. given #3325 (H,wt=11): 3562 L(x,y,T(z,x)) = L(x,y,z). [hyper(64,a,2211,a(flip),b,3560,a),flip(a)]. given #3326 (H,wt=26): 3561 L(L(x,T(y,T(z,u)),z),z * T(y,T(z,u)),K(z,u)) = L(x,y,T(z,u)). [hyper(306,a,3127,a(flip),b,3560,a),flip(a)]. given #3327 (H,wt=22): 3563 L(L(x,y,z),z * T(y,T(z,u)),K(z,u)) = L(x,y,T(z,u)). [para(3134(a,1),3561(a,1,1))]. given #3328 (H,wt=18): 3564 L(L(x,y,z),y * z,K(z,u)) = L(x,y,T(z,u)). [para(1496(a,1),3563(a,1,2))]. given #3329 (H,wt=27): 2862 (x * (y * K(z,u))) \ (x * (y * T(z,u))) != w | L(z,y * K(z,u),x) = w. [para(2802(a,1),597(a,1,2,2))]. given #3330 (H,wt=27): 3213 K(L(x,y / x,z),u) * (K(u,w) * v5) = K(u,w) * (L(K(x,u),y,z) * v5). [para(3208(a,1),2751(a,1,2,1)),flip(a)]. given #3331 (H,wt=25): 3567 L(K(x,y),z,u) * (K(y,w) * v5) = K(y,w) * (L(K(x,y),z,u) * v5). [para(3208(a,1),3213(a,1,1))]. given #3332 (H,wt=21): 3568 L(K(x,y),z,u) * (K(y,x) * w) = a(u,z,K(y,x)) * w. [hyper(306,a,3550,a(flip),b,3567,a),flip(a)]. given #3333 (H,wt=27): 3265 a(x,K(y,z) * u,T(K(w,v5),u * K(y,z))) = a(x,u * K(y,z),K(w,v5)). [para(363(a,1),3263(a,1,2))]. given #3334 (H,wt=23): 3569 a(x,K(y,z) * u,T(K(w,v5),v6)) = a(x,u * K(y,z),K(w,v5)). [para(241(a,1),3265(a,1,3))]. given #3335 (H,wt=19): 3570 a(x,K(y,z) * u,T(K(y,z),w)) = a(x,u,K(y,z)). [hyper(306,a,3546,a(flip),b,3569,a),flip(a)]. given #3336 (H,wt=27): 3270 L(T(L(x,y,z) \ x,u),L(x,y,z),u) = (u * L(T(x,u),y,z)) \ (x * u). [hyper(3169,a,2670,a)]. given #3337 (H,wt=25): 3571 L(T(L(x,y,z) \ x,u),L(x,y,z),u) = (L(x,y,z) * u) \ (x * u). [para(228(a,1),3270(a,2,1))]. given #3338 (H,wt=27): 3330 (x * T(y,L(z * K(y,z),y,x))) \ (x * (y * (z * K(y,z)))) = L(z,y,x). [para(1731(a,1),3285(a,2,1))]. given #3339 (H,wt=23): 3573 (x * T(y,L(z,y,x))) \ (x * (y * (z * K(y,z)))) = L(z,y,x). [para(1740(a,1),3330(a,1,1,2))]. given #3340 (H,wt=21): 3574 (x * T(y,L(z,y,x))) \ (x * (T(y,z) * z)) = L(z,y,x). [para(1744(a,1),3573(a,1,2,2))]. given #3341 (H,wt=18): 3576 L(x,y,z) = (z * T(y,x)) \ (z * (T(y,x) * x)). [para(3234(a,1),3574(a,1,1,2)),flip(a)]. given #3342 (H,wt=11): 3577 L(x,T(y,x),z) = L(x,y,z). [hyper(306,a,18,a,b,3576,a)]. given #3343 (H,wt=13): 3579 L(x,y / x,z) = L(x,x \ y,z). [para(108(a,1),3577(a,1,2)),flip(a)]. given #3344 (H,wt=15): 3580 L(T(x,y),T(z,x),u) = L(T(x,y),z,u). [para(1484(a,1),3577(a,1,2))]. given #3345 (H,wt=18): 3581 L(x,x \ (y \ z),y) = (y * ((y \ z) / x)) \ z. [hyper(64,a,645,a(flip),b,3579,a),flip(a)]. given #3346 (H,wt=27): 3427 x * (y * R(T(a(x,z,u),x * y),x,y)) = (x * L(a(x,z,u),y,x)) * y. [para(3395(a,1),2544(a,1,2,2))]. given #3347 (H,wt=27): 3552 T(K(x,y),z) * a(u,w,K(y,x * K(v5,v6))) = L(K(x * K(v5,v6),y),w,u). [para(1852(a,2),3544(a,1,1))]. given #3348 (H,wt=25): 3582 L(K(x * K(y,z),u),w,v5) = T(K(x,u),v6) * a(v5,w,T(K(u,x),v7)). [para(1995(a,2),3552(a,1,2,3)),flip(a)]. given #3349 (H,wt=23): 3583 L(T(K(x,y),z),u,w) = T(K(x,y),v5) * a(w,u,T(K(y,x),v6)). [para(1852(a,2),3582(a,1,1))]. given #3350 (H,wt=21): 3586 L(T(K(x,y),z),u,w) = T(K(x,y),v5) * a(w,u,K(y,x)). [para(105(a,1),3583(a,2,2,3))]. given #3351 (H,wt=28): 3478 (L(x,y,z) \ 1) * (u * T(x,L(x,y,z) \ u)) = x * ((L(x,y,z) \ 1) * u). [para(3470(a,1),2352(a,1,2,2))]. given #3352 (H,wt=23): 3587 (L(x,y,z) \ 1) * (u * T(x,u)) = x * ((L(x,y,z) \ 1) * u). [para(2433(a,1),3478(a,1,2,2))]. given #3353 (H,wt=21): 3588 (L(x,y,z) \ 1) * (x * u) = x * ((L(x,y,z) \ 1) * u). [hyper(668,a,3587,a)]. given #3354 (H,wt=28): 3505 (x * K(y,z)) * u != x * R(K(y,w),v5,v6) | K(z,y) * R(K(y,w),v5,v6) = u. [para(3404(a,1),44(a,1)),flip(a)]. given #3355 (H,wt=28): 3526 K(x,y * ((z \ 1) * ((u \ 1) \ w))) != v5 | K(x,(z * ((w \ 1) / u)) \ y) = v5. [para(3495(a,2),3074(a,1))]. given #3356 (H,wt=29): 2838 L(L(T(x,y) \ 1,T(x,y),z),z * T(x,y),K(y,x)) = (z * x) \ (K(y,x) * z). [para(2786(a,1),505(a,2,1))]. given #3357 (H,wt=29): 2930 (x * y) \ ((x * (y * K(z,u))) * K(u,z)) != w | a(x,y * K(z,u),K(u,z)) = w. [para(2908(a,1),1084(a,1,1,2))]. given #3358 (H,wt=29): 2946 (x * y) \ ((x * K(z,u)) * (K(u,z) * y)) != w | a(x,K(z,u),K(u,z) * y) = w. [para(2914(a,1),1084(a,1,1,2))]. given #3359 (H,wt=29): 3340 K(x * y,z) * ((u * x) * y) != w * v5 | w \ (R(u,x,y) * T(x * y,z)) = v5. [para(2857(a,2),633(a,1))]. given #3360 (H,wt=29): 3524 K(x,K(y,z) * (((K(y,z) \ 1) / u) * w)) = K(((K(z,y) / w) * u) * K(y,z),x). [para(2177(a,1),3522(a,1,1,1,1,1)),flip(a)]. given #3361 (H,wt=29): 3533 ((x \ 1) * (R(x,y,z) * u)) \ ((x \ R(x,y,z)) * u) = a(R(x,y,z),x \ 1,u). [para(3531(a,1),1079(a,1,1))]. given #3362 (H,wt=29): 3591 L(L(T(x \ 1,y),T(x,y),z),z * T(x,y),K(y,x)) = (z * x) \ (K(y,x) * z). [para(2071(a,2),2838(a,1,1,1))]. given #3363 (H,wt=29): 3592 K(x,K(y,z) * (((K(y,z) \ 1) / u) * w)) = K(((w \ K(z,y)) * u) * K(y,z),x). [para(399(a,1),3524(a,2,1,1,1))]. given #3364 (H,wt=25): 3594 K(x,K(y,z) * (((K(y,z) \ 1) / u) * w)) = K((w \ K(z,y)) * u,x). [hyper(306,a,1850,a(flip),b,3592,a),flip(a)]. given #3365 (H,wt=25): 3596 K(x,K(y,z) * (((K(y,z) \ 1) / u) * w)) = K(u * (w \ K(z,y)),x). [hyper(306,a,1819,a,b,3594,a),flip(a)]. given #3366 (H,wt=23): 3597 K(x,K(y,z) * ((K(z,y) / u) * w)) = K(u * (w \ K(z,y)),x). [para(2177(a,1),3596(a,1,2,2,1,1))]. given #3367 (H,wt=23): 3598 K(x,K(y,z) * ((u \ K(z,y)) * w)) = K(u * (w \ K(z,y)),x). [hyper(64,a,3083,a(flip),b,3597,a)]. given #3368 (H,wt=29): 3593 L(L(T(x \ 1,y),z * T(x,y),K(y,x)),T(x,y),z) = (z * x) \ (K(y,x) * z). [hyper(64,a,30,a,b,3591,a)]. given #3369 (H,wt=20): 3599 L(T(x \ 1,y),T(x,y),z) = (z * x) \ (K(y,x) * z). [para(2223(a,1),3593(a,1,1))]. given #3370 (H,wt=20): 3600 L(T(x \ 1,y),T(x,y),z) = (z * x) \ (z * K(y,x)). [para(244(a,1),3599(a,2,2))]. given #3371 (H,wt=19): 3602 L(T(x \ 1,y),T(x,y),z) = L(T(x \ 1,y),x,z). [hyper(306,a,2104,a(flip),b,3600,a),flip(a)]. given #3372 (H,wt=16): 3603 L(T(x \ 1,y),x,z) \ z = T(x,y) * z. [para(3602(a,1),2099(a,1,1))]. given #3373 (H,wt=30): 2760 L(x \ L(y \ (y * x),z,u),x,y) = (y \ (y / x)) * L(((y * x) \ y) \ 1,z,u). [para(320(a,1),2520(a,2,1))]. given #3374 (H,wt=30): 3104 (x * (T(y,x) * (T(x,y) * z))) \ ((x * y) * (x * z)) = a(x,T(y,x),T(x,y) * z). [para(3054(a,1),221(a,1,2))]. given #3375 (H,wt=26): 3605 (x * (y * (x * z))) \ ((x * y) * (x * z)) = a(x,T(y,x),T(x,y) * z). [para(2965(a,1),3104(a,1,1,2))]. given #3376 (H,wt=20): 3606 a(x,T(y,x),T(x,y) * z) != u | a(x,y,x * z) = u. [para(3605(a,1),1084(a,1))]. given #3377 (H,wt=30): 3518 R(K(x,y \ R(y,z,u)),R(y,z,u),z * u) = K(x,((y * z) * u) / (y * (z * u))). [para(1655(a,1),3517(a,2,2))]. given #3378 (H,wt=23): 3607 R(K(x,y \ R(y,z,u)),R(y,z,u),z * u) = K(x,a(y,z,u)). [hyper(306,a,1971,a(flip),b,3518,a),flip(a)]. given #3379 (H,wt=30): 3572 T((x * (y * z)) \ ((x * y) * z),x * y) = (L(z,y,x) * (x * y)) \ (z * (x * y)). [hyper(64,a,1286,a(flip),b,3571,a)]. given #3380 (H,wt=23): 3608 (L(x,y,z) * (z * y)) \ (x * (z * y)) = T(a(z,y,x),z * y). [para(14(a,2),3572(a,1,1)),flip(a)]. given #3381 (H,wt=17): 3609 a(x,y,T(z,y * x)) = T(a(x,y,z),x * y). [hyper(64,a,2386,a(flip),b,3608,a)]. given #3382 (H,wt=30): 3585 (x * (K(y,z) \ u)) \ (x * u) = T(K(y,z),w) * a(x,K(z,y) * u,T(K(z,y),v5)). [hyper(64,a,3406,a(flip),b,3583,a)]. given #3383 (H,wt=24): 3610 (x * (K(y,z) \ u)) \ (x * u) = T(K(y,z),w) * a(x,u,K(z,y)). [para(3570(a,1),3585(a,2,2))]. given #3384 (H,wt=20): 3611 L(T(K(x,y),z),u,w) = (w * (K(x,y) \ u)) \ (w * u). [hyper(306,a,3586,a,b,3610,a)]. given #3385 (H,wt=20): 3612 L(T(K(x,y),z),u,w) = (w * (K(y,x) * u)) \ (w * u). [para(2913(a,1),3611(a,2,1,2))]. given #3386 (H,wt=20): 3613 L(K(x,T(y,z)),u,w) = (w * (K(y,x) * u)) \ (w * u). [para(1944(a,1),3612(a,1,1))]. given #3387 (H,wt=20): 3614 (x * (K(y,z) * u)) * L(K(z,T(y,w)),u,x) = x * u. [hyper(121,a,3613,a,b,xx)]. given #3388 (H,wt=30): 3604 L(x \ L(y \ (y * x),z,u),x,y) = (y \ (y / x)) * L((y \ (y / x)) \ 1,z,u). [para(320(a,1),2760(a,2,2,1,1))]. given #3389 (H,wt=28): 3616 L(x \ L(y \ (y * x),z,u),x,y) = y \ ((y / x) * L((y / x) \ y,z,u)). [hyper(306,a,2519,a(flip),b,3604,a),flip(a)]. given #3390 (H,wt=24): 3617 L(x \ L(y \ (y * x),z,u),x,y) = y \ ((y / x) * L(x,z,u)). [para(78(a,1),3616(a,2,2,2,1))]. given #3391 (H,wt=20): 3618 L(x \ L(x,y,z),x,u) = u \ ((u / x) * L(x,y,z)). [para(9(a,1),3617(a,1,1,2,1))]. given #3392 (H,wt=23): 3621 L(x \ L(x,y,z),x,z * y) = (z * y) \ ((z * (y * x)) / x). [para(2463(a,1),3618(a,2,2))]. given #3393 (H,wt=23): 3622 ((x * y) * z) \ (x * (y * z)) = (x * y) \ ((x * (y * z)) / z). [hyper(64,a,616,a(flip),b,3621,a)]. given #3394 (H,wt=24): 3619 x \ ((x / (y \ 1)) * L(y \ 1,y,x)) = (x * (y \ 1)) \ (x / y). [hyper(64,a,614,a(flip),b,3618,a),flip(a)]. given #3395 (H,wt=24): 3624 x \ ((x / (y \ 1)) * L(y \ 1,y,x)) = (x / y) * (y * (x \ 1)). [hyper(306,a,2447,a(flip),b,3619,a),flip(a)]. given #3396 (H,wt=19): 3625 x \ ((y \ 1) \ (y \ x)) = (x / y) * (y * (x \ 1)). [para(3272(a,1),3624(a,1,2))]. given #3397 (H,wt=19): 3626 x \ (y \ ((y \ 1) \ x)) = (x / y) * (y * (x \ 1)). [para(2357(a,1),3625(a,1,2))]. given #3398 (H,wt=25): 3620 L(x \ L(x,y,z),x,u) * u != w | T((u / x) * L(x,y,z),u) = w. [para(3618(a,2),856(a,1,1))]. given #3399 (H,wt=25): 3623 (x * y) \ ((x * (y * (y \ 1))) / (y \ 1)) = ((x * y) * (y \ 1)) \ x. [para(70(a,1),3622(a,1,2)),flip(a)]. given #3400 (H,wt=24): 3627 (x * y) \ ((x * (y * (y \ 1))) / (y \ 1)) = L(x,y,y \ 1) \ x. [para(2131(a,1),3623(a,2,1))]. given #3401 (H,wt=22): 3628 (x * y) \ ((x * (y * (y \ 1))) / (y \ 1)) = a(y \ 1,y,x). [hyper(306,a,1107,a(flip),b,3627,a),flip(a)]. given #3402 (H,wt=16): 3629 (x * y) \ (x / (y \ 1)) = a(y \ 1,y,x). [para(70(a,1),3628(a,1,2,1))]. given #3403 (H,wt=16): 3630 (x * y) \ (x / (y \ 1)) = a(y,y \ 1,x). [hyper(306,a,2336,a(flip),b,3629,a),flip(a)]. given #3404 (H,wt=25): 3631 (x / (y \ 1)) \ L(x / (y \ 1),y,y \ 1) = a(y,y \ 1,x) \ 1. [para(3630(a,1),2321(a,2,1))]. given #3405 (H,wt=23): 3632 (x / (y \ 1)) \ L(x / (y \ 1),y,y \ 1) = a(x,y,y \ 1). [hyper(306,a,2338,a(flip),b,3631,a),flip(a)]. given #3406 (H,wt=16): 3633 (x / (y \ 1)) \ (x * y) = a(x,y,y \ 1). [para(2318(a,1),3632(a,1,2))]. given #3407 (H,wt=31): 1192 (x * (a(y,z,y) * (u * w))) \ ((x * (a(y,z,y) * u)) * w) = a(x,a(y,z,y) * u,w). [para(784(a,1),14(a,2,1,2)),flip(a)]. given #3408 (H,wt=31): 1193 (a(x,y,x) * (z * (u * w))) \ (((a(x,y,x) * z) * u) * w) = a(a(x,y,x) * z,u,w). [para(784(a,1),14(a,2,1)),flip(a)]. given #3409 (H,wt=31): 1194 (x * (a(y,z,y) * (u * w))) \ (((x * a(y,z,y)) * u) * w) = a(x * a(y,z,y),u,w). [para(786(a,1),14(a,2,1)),flip(a)]. given #3410 (H,wt=31): 2093 R(T(x,y \ 1),z,u) * (T(x,y \ 1) \ y) = (y / x) * R(T(T(x,y \ 1),y),z,u). [para(2061(a,1),752(a,1,1)),flip(a)]. given #3411 (H,wt=31): 2275 ((K(x,y) * z) * (z \ x)) / T(T(x,y),a(K(x,y),z,z \ x)) = a(K(x,y),z,z \ x). [hyper(119,a,1928,a(flip),b,106,a)]. given #3412 (H,wt=22): 3637 ((K(x,y) * z) * (z \ x)) / T(x,y) = a(K(x,y),z,z \ x). [para(3381(a,1),2275(a,1,2))]. given #3413 (H,wt=22): 3638 ((x / y) * (y * K(x,z))) / T(x,z) = a(K(x,z),y,y \ x). [para(1562(a,2),3637(a,1,1))]. given #3414 (H,wt=31): 2479 (x \ 1) * (y * L(y \ ((x \ 1) \ 1),z,u)) = ((x \ 1) * y) * L((y \ 1) * x,z,u). [para(561(a,1),1419(a,1,2,1)),flip(a)]. given #3415 (H,wt=27): 3640 ((x \ 1) * y) * L((y \ 1) * x,z,u) = (x \ 1) * (y * L(y \ x,z,u)). [para(326(a,1),2479(a,1,2,2,1,2)),flip(a)]. given #3416 (H,wt=31): 2489 ((x / y) / x) * R(((x / y) / x) \ 1,z,u) = x / ((x / R((x / y) \ x,z,u)) * y). [hyper(306,a,733,a(flip),b,2488,a),flip(a)]. given #3417 (H,wt=31): 2557 (R(T(x,y),z,u) * (z * u)) / ((x * z) * u) = R(K(R(x,z,u),y),R(x,z,u),z * u). [para(1925(a,1),632(a,1,1)),flip(a)]. given #3418 (H,wt=28): 3643 R(K(R(x,y,z),u),R(x,y,z),y * z) = ((T(x,u) * y) * z) / ((x * y) * z). [para(102(a,1),2557(a,1,1)),flip(a)]. given #3419 (H,wt=20): 3644 ((T(x,y) * z) * u) / ((x * z) * u) = K(R(x,z,u),y). [hyper(3167,a,3643,a),flip(a)]. given #3420 (H,wt=15): 3645 R(K(x,y),x * z,u) = K(R(x,z,u),y). [hyper(2832,a,3644,a)]. given #3421 (H,wt=15): 3646 K(R(x,x \ y,z),u) = R(K(x,u),y,z). [para(10(a,1),3645(a,1,2)),flip(a)]. given #3422 (H,wt=19): 3647 K(x,R(y,y \ z,u)) = (w * R(K(y,x),z,u)) \ w. [para(3646(a,1),2905(a,1,1,2)),flip(a)]. given #3423 (H,wt=17): 3648 (x * R(K(y,z),u,w)) \ x = R(K(z,y),u,w). [hyper(64,a,3509,a(flip),b,3647,a),flip(a)]. given #3424 (H,wt=15): 3650 R(K(x,y),z,u) \ 1 = R(K(y,x),z,u). [hyper(557,a,3648,a)]. given #3425 (H,wt=17): 3649 (x * R(K(y,z),u,w)) * R(K(z,y),u,w) = x. [hyper(121,a,3509,a(flip),b,3647,a(flip))]. given #3426 (H,wt=18): 3652 R(K(x,y),z,u) != w | R(K(y,x),z,u) \ 1 = w. [para(3648(a,1),557(a,1))]. given #3427 (H,wt=18): 3653 R(K(x,y),z,u) \ 1 != w | R(K(y,x),z,u) = w. [para(3650(a,1),332(a,1,1)),flip(b)]. given #3428 (H,wt=24): 3651 (x * R(K(y,z),u,w)) * R(K(z,y),u,w) != v5 * v6 | x / v6 = v5. [para(3648(a,1),311(a,1,2))]. given #3429 (H,wt=25): 3654 x / (K(y,z) * R(K(z,u),w,v5)) = (x * R(K(u,z),w,v5)) * K(z,y). [hyper(119,a,3649,a(flip),b,3404,a)]. given #3430 (H,wt=31): 2601 ((x * (y * (y \ z))) / (y \ z)) \ (x * y) = (x * y) \ ((((x * y) / z) * y) * (y \ z)). [para(1614(a,1),2472(a,1,2,1)),flip(a)]. given #3431 (H,wt=29): 3655 ((x * (y * (y \ 1))) / (y \ 1)) \ (x * y) = (x * y) \ (((x * y) * y) * (y \ 1)). [para(74(a,1),2601(a,2,2,1,1))]. given #3432 (H,wt=24): 3656 ((x * (y * (y \ 1))) / (y \ 1)) \ (x * y) = a(x * y,y,y \ 1). [hyper(306,a,213,a(flip),b,3655,a),flip(a)]. given #3433 (H,wt=18): 3657 a(x * y,y,y \ 1) = (x / (y \ 1)) \ (x * y). [para(70(a,1),3656(a,1,1,1)),flip(a)]. given #3434 (H,wt=15): 3658 a(x * y,y,y \ 1) = a(x,y,y \ 1). [hyper(306,a,3633,a(flip),b,3657,a),flip(a)]. given #3435 (H,wt=15): 3659 a(x / y,y,y \ 1) = a(x,y,y \ 1). [para(12(a,1),3658(a,1,1)),flip(a)]. given #3436 (H,wt=31): 2692 x * (T(x * y,x) * R(T(x * y,x) \ y,z,u)) = (x * y) * (x * R(x \ 1,z,u)). [hyper(1275,a,2403,a),flip(a)]. given #3437 (H,wt=29): 3660 x * ((y * x) * R(T(x * y,x) \ y,z,u)) = (x * y) * (x * R(x \ 1,z,u)). [para(792(a,1),2692(a,1,2,1))]. given #3438 (H,wt=27): 3661 x * ((y * x) * R((y * x) \ y,z,u)) = (x * y) * (x * R(x \ 1,z,u)). [para(792(a,1),3660(a,1,2,2,1,1))]. given #3439 (H,wt=25): 3662 (x * y) * (x * R(x \ 1,z,u)) = x * (y * (x * R(x \ 1,z,u))). [para(1274(a,1),3661(a,1,2)),flip(a)]. given #3440 (H,wt=31): 3093 (x * T(y * K(z,u),w)) \ ((x * K(z,u)) * T(y,w)) != v5 | a(x,K(z,u),T(y,w)) = v5. [para(3091(a,2),1084(a,1,1,2))]. given #3441 (H,wt=31): 3590 (x * ((L(x,y,z) \ 1) * u)) \ (((L(x,y,z) \ 1) * x) * u) = a(L(x,y,z) \ 1,x,u). [para(3588(a,1),14(a,2,1)),flip(a)]. given #3442 (H,wt=29): 3663 (x * ((L(x,y,z) \ 1) * u)) \ ((L(x,y,z) \ x) * u) = a(L(x,y,z) \ 1,x,u). [para(782(a,1),3590(a,1,2,1))]. given #3443 (H,wt=31): 3634 (a(x,y,x) * (z * (u * w))) \ ((a(x,y,x) * (z * u)) * w) = a(a(x,y,x) * z,u,w). [para(784(a,1),1193(a,1,2,1))]. given #3444 (H,wt=31): 3635 (x * (a(y,z,y) * (u * w))) \ ((x * (a(y,z,y) * u)) * w) = a(x * a(y,z,y),u,w). [para(786(a,1),1194(a,1,2,1))]. given #3445 (H,wt=19): 3665 a(x * a(y,z,y),u,w) = a(x,a(y,z,y) * u,w). [hyper(64,a,1192,a(flip),b,3635,a),flip(a)]. given #3446 (H,wt=19): 3666 a(x / a(y,z,y),a(y,z,y) * u,w) = a(x,u,w). [para(12(a,1),3665(a,1,1)),flip(a)]. given #3447 (H,wt=31): 3636 R(T(x,y \ 1),z,u) * (T(x,y \ 1) \ y) = (y / x) * R(T(T(x,y),y \ 1),z,u). [para(23(a,1),2093(a,2,2,1))]. given #3448 (H,wt=25): 3667 R(T(x,y \ 1),z,u) * (T(x,y \ 1) \ y) = (y / x) * R(x,z,u). [para(2053(a,1),3636(a,2,2,1))]. given #3449 (H,wt=31): 3642 (x / (x * y)) * R(((x / y) / x) \ 1,z,u) = x / ((x / R((x / y) \ x,z,u)) * y). [para(394(a,1),2489(a,1,1))]. given #3450 (H,wt=31): 3664 (a(x,y,x) * (z * (u * w))) \ (a(x,y,x) * ((z * u) * w)) = a(a(x,y,x) * z,u,w). [para(784(a,1),3634(a,1,2))]. given #3451 (H,wt=24): 3669 L(a(x,y,z),x * (y * z),a(u,w,u)) = a(a(u,w,u) * x,y,z). [hyper(1165,a,3664,a)]. given #3452 (H,wt=14): 3670 a(a(x,y,x) * z,u,w) = a(z,u,w). [hyper(785,a,3669,a),flip(a)]. given #3453 (H,wt=14): 3672 a(a(x,y,x) \ z,u,w) = a(z,u,w). [para(10(a,1),3670(a,1,1)),flip(a)]. given #3454 (H,wt=14): 3674 a(x / a(y,z,y),u,w) = a(x,u,w). [para(777(a,2),3672(a,1,1))]. given #3455 (H,wt=14): 3675 a(x,a(y,z,y) * u,w) = a(x,u,w). [hyper(64,a,3666,a(flip),b,3674,a),flip(a)]. given #3456 (H,wt=14): 3677 a(x,a(y,z,y) \ u,w) = a(x,u,w). [para(10(a,1),3675(a,1,2)),flip(a)]. given #3457 (H,wt=15): 3673 a(K(x,x \ y),z,u) = a(K(x,y),z,u). [para(1810(a,2),3670(a,1,1))]. given #3458 (H,wt=15): 3678 a(x,K(y,K(z,u)) \ w,v5) = a(x,w,v5). [para(439(a,2),3677(a,1,2,1))]. given #3459 (H,wt=13): 3680 a(x,(y \ 1) \ 1,z) = a(x,y,z). [para(551(a,1),3678(a,1,2))]. given #3460 (H,wt=15): 3679 a(K(x,y \ x),z,u) = a(K(y,x),z,u). [para(1886(a,2),3673(a,1,1))]. given #3461 (H,wt=15): 3682 a(K(x,y \ 1),z,u) = a(K(y,x),z,u). [para(2075(a,2),3679(a,1,1))]. given #3462 (H,wt=15): 3683 a(K(x \ 1,y),z,u) = a(K(y,x),z,u). [para(326(a,1),3682(a,1,1,2)),flip(a)]. given #3463 (H,wt=27): 3684 a(R(K(x,y),(y * x) * z,u),w,v5) = a(K(R(y,x * z,u) \ 1,x),w,v5). [para(3528(a,2),3683(a,2,1)),flip(a)]. given #3464 (H,wt=31): 3668 (x / (x * y)) * R((x / (x * y)) \ 1,z,u) = x / ((x / R((x / y) \ x,z,u)) * y). [para(394(a,1),3642(a,1,2,1,1))]. given #3465 (H,wt=29): 3685 (x * R(x \ (x * y),z,u)) / (x * y) = x / ((x / R((x / y) \ x,z,u)) * y). [hyper(64,a,2488,a(flip),b,3668,a)]. given #3466 (H,wt=25): 3686 x / ((x / R((x / y) \ x,z,u)) * y) = (x * R(y,z,u)) / (x * y). [para(9(a,1),3685(a,1,1,2,1)),flip(a)]. given #3467 (H,wt=21): 3687 (x * R(y,z,u)) / (x * y) = x / ((x / R(y,z,u)) * y). [para(78(a,1),3686(a,1,2,1,2,1)),flip(a)]. given #3468 (H,wt=25): 3688 (x / y) / (((x / y) / R(y,z,u)) * y) = ((x / y) * R(y,z,u)) / x. [para(12(a,1),3687(a,1,2)),flip(a)]. given #3469 (H,wt=25): 3690 (x / y) / (((x / y) / R(y,z,u)) * y) = x / ((x / R(y,z,u)) * y). [hyper(306,a,733,a(flip),b,3688,a),flip(a)]. given #3470 (H,wt=21): 3691 (x / y) / (x / R(y,z,u)) = x / ((x / R(y,z,u)) * y). [para(1638(a,1),3690(a,1,2))]. given #3471 (H,wt=25): 3692 (x / y) / (R(x * (y / x),z,u) \ x) = x / ((x / R(y,z,u)) * y). [para(1248(a,2),3691(a,1,2))]. given #3472 (H,wt=32): 1366 ((x \ 1) * (R(x,y,z) * u)) \ ((x \ R(x,y,z)) * u) != w | a(x \ 1,R(x,y,z),u) = w. [para(846(a,1),1084(a,1,2,1))]. given #3473 (H,wt=22): 3693 a(R(x,y,z),x \ 1,u) != w | a(x \ 1,R(x,y,z),u) = w. [para(3533(a,1),1366(a,1))]. given #3474 (H,wt=32): 1368 (x * ((L(x,y,z) \ 1) * u)) \ ((L(x,y,z) \ x) * u) != w | a(x,L(x,y,z) \ 1,u) = w. [para(1199(a,1),1084(a,1,2,1))]. given #3475 (H,wt=19): 3694 a(L(x,y,z) \ 1,x,u) = a(x,L(x,y,z) \ 1,u). [hyper(1368,a,3663,a),flip(a)]. given #3476 (H,wt=22): 3695 a(L(x,y,z) \ 1,x,u) != w | a(x,L(x,y,z) \ 1,u) = w. [para(3663(a,1),1368(a,1))]. given #3477 (H,wt=32): 1711 K(x \ (x / R(y,z,u)),x) = (((y * z) * u) * T(((y * z) * u) \ (z * u),x)) / (z * u). [para(20(a,2),1710(a,1,1,2,2))]. given #3478 (H,wt=28): 3696 K(x \ (x / R(y,z,u)),x) = (((y * z) * T((y * z) \ z,x)) * u) / (z * u). [para(2286(a,1),1711(a,2,1))]. given #3479 (H,wt=26): 3697 K(x \ (x / R(y,z,u)),x) = (((y * T(y \ 1,x)) * z) * u) / (z * u). [para(2199(a,1),3696(a,2,1,1))]. given #3480 (H,wt=21): 3698 R(x * T(x \ 1,y),z,u) = K(y \ (y / R(x,z,u)),y). [hyper(306,a,20,a,b,3697,a)]. given #3481 (H,wt=19): 3699 R(x * T(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). [hyper(306,a,2893,a(flip),b,3698,a),flip(a)]. given #3482 (H,wt=17): 3701 R(K(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). [para(1901(a,1),3699(a,1,1))]. given #3483 (H,wt=17): 3703 K(R(x \ 1,y,z) \ 1,u) = R(K(x,u),y,z). [para(326(a,1),3701(a,1,1,1)),flip(a)]. given #3484 (H,wt=19): 3702 K(R(x,y * z,u) \ 1,y) = K(x \ 1,R(y,z,u)). [hyper(64,a,3508,a(flip),b,3701,a),flip(a)]. given #3485 (H,wt=19): 3704 K(x,R(y \ 1,z,u) \ 1) = R(K(y,x),z,u) \ 1. [para(3703(a,1),1992(a,1,1)),flip(a)]. given #3486 (H,wt=17): 3706 K(x,R(y \ 1,z,u) \ 1) = R(K(x,y),z,u). [hyper(306,a,3650,a(flip),b,3704,a),flip(a)]. given #3487 (H,wt=17): 3707 R(K(x,y \ 1),z,u) = K(x,R(y,z,u) \ 1). [para(326(a,1),3706(a,1,2,1,1)),flip(a)]. given #3488 (H,wt=21): 3708 K(R(x,y,z) \ 1,u \ 1) = K(x \ 1,R(u,y,z) \ 1). [hyper(64,a,3701,a(flip),b,3707,a)]. given #3489 (H,wt=25): 3705 a(R(K(x,y),(y * x) * z,u),w,v5) = a(K(y \ 1,R(x,z,u)),w,v5). [para(3702(a,1),3684(a,2,1))]. given #3490 (H,wt=23): 3710 a(R(K(x,y),(y * x) * z,u),w,v5) = a(K(R(x,z,u),y),w,v5). [hyper(306,a,3683,a(flip),b,3705,a),flip(a)]. given #3491 (H,wt=21): 3711 a(K(x,R(y,x * z,u)),w,v5) = a(K(R(x,z,u),y),w,v5). [para(3528(a,1),3710(a,1,1))]. given #3492 (H,wt=25): 3709 a(K(x \ 1,R(y,z,u) \ 1),w,v5) = a(K(y,R(x,z,u) \ 1),w,v5). [para(3708(a,1),3682(a,1,1))]. given #3493 (H,wt=23): 3712 a(K(R(x,y,z),u \ 1),w,v5) = a(K(x,R(u,y,z) \ 1),w,v5). [hyper(64,a,3682,a(flip),b,3709,a)]. given #3494 (H,wt=21): 3713 a(K(x,R(y,z,u) \ 1),w,v5) = a(K(y,R(x,z,u)),w,v5). [hyper(64,a,3682,a(flip),b,3712,a),flip(a)]. given #3495 (H,wt=19): 3714 a(K(R(x,y,z),u),w,v5) = a(K(x,R(u,y,z)),w,v5). [hyper(64,a,3682,a(flip),b,3713,a)]. given #3496 (H,wt=21): 3715 a(K(x,R(y,x * z,u)),w,v5) = a(K(x,R(y,z,u)),w,v5). [hyper(64,a,3711,a,b,3714,a)]. given #3497 (H,wt=32): 2600 x \ ((((x / y) * y) / L(z,y,x / y)) * z) = (((x / y) * (y * z)) / z) \ ((x / y) * y). [para(12(a,1),2472(a,1,1))]. given #3498 (H,wt=28): 3716 (((x / y) * (y * z)) / z) \ ((x / y) * y) = x \ ((x / L(z,y,x / y)) * z). [para(12(a,1),2600(a,1,2,1,1)),flip(a)]. given #3499 (H,wt=27): 3717 (((x / y) * (y * z)) / z) \ ((x / y) * y) = x \ (((x / (y * z)) * y) * z). [para(1091(a,1),3716(a,2,2,1))]. given #3500 (H,wt=32): 2615 (x * (y * R(y \ 1,z,u))) * y != w * v5 | w \ ((x * y) * (y * R(y \ 1,z,u))) = v5. [para(2613(a,2),633(a,1))]. given #3501 (H,wt=32): 2621 (x * R(x \ 1,y,z)) * (x * u) != w * v5 | w \ (x * ((x * R(x \ 1,y,z)) * u)) = v5. [para(2619(a,2),633(a,1))]. given #3502 (H,wt=32): 2708 L(T(L(x,y,z) \ x,u),L(x,y,z),z * y) = T((z * (y * x)) \ ((z * y) * x),x * u). [para(2672(a,1),1286(a,1,1))]. given #3503 (H,wt=29): 3718 T((x * (y * z)) \ ((x * y) * z),z * u) = T((x * (y * z)) \ ((x * y) * z),u). [hyper(64,a,1286,a(flip),b,2708,a),flip(a)]. given #3504 (H,wt=22): 3719 T((x * (y * z)) \ ((x * y) * z),z * u) = T(a(x,y,z),u). [para(14(a,2),3718(a,2,1))]. given #3505 (H,wt=15): 3720 T(a(x,y,z),z * u) = T(a(x,y,z),u). [para(14(a,2),3719(a,1,1))]. given #3506 (H,wt=32): 3372 L(((x * y) \ ((x * y) / x)) \ z,(x * y) \ y,x * y) = ((x * y) / x) \ ((x * y) * z). [para(9(a,1),3163(a,1,2,2))]. given #3507 (H,wt=28): 3721 L((x \ (x / y)) \ z,(y * x) \ x,y * x) = ((y * x) / y) \ ((y * x) * z). [para(1143(a,1),3372(a,1,1,1))]. given #3508 (H,wt=28): 3722 L((x \ (x / y)) \ z,x \ (y \ x),y * x) = ((y * x) / y) \ ((y * x) * z). [para(349(a,1),3721(a,1,2))]. given #3509 (H,wt=24): 3723 L((x \ (x / y)) \ z,x \ (y \ x),y * x) = x \ ((x * y) * z). [hyper(306,a,3071,a(flip),b,3722,a),flip(a)]. given #3510 (H,wt=32): 3641 ((x \ 1) * (y \ 1)) * L(((y \ 1) \ 1) * x,y,y \ 1) = (x \ 1) * ((y \ 1) * (y * x)). [para(2325(a,1),3640(a,2,2,2))]. given #3511 (H,wt=30): 3724 ((x * y) \ 1) * L(((x \ 1) \ 1) * y,x,x \ 1) = (y \ 1) * ((x \ 1) * (x * y)). [para(515(a,1),3641(a,1,1))]. given #3512 (H,wt=26): 3725 ((x * y) \ 1) * L(x * y,x,x \ 1) = (y \ 1) * ((x \ 1) * (x * y)). [para(326(a,1),3724(a,1,2,1,1))]. given #3513 (H,wt=24): 3726 (x * y) \ L(x * y,x,x \ 1) = (y \ 1) * ((x \ 1) * (x * y)). [hyper(64,a,849,a(flip),b,3725,a)]. given #3514 (H,wt=20): 3727 a(x * y,x,x \ 1) = (y \ 1) * ((x \ 1) * (x * y)). [hyper(2138,a,3726,a)]. given #3515 (H,wt=19): 3728 a(x * y,x,x \ 1) = (y \ 1) * L(y,x,x \ 1). [para(714(a,1),3727(a,2,2))]. given #3516 (H,wt=17): 3729 a(x * y,x,x \ 1) = y \ L(y,x,x \ 1). [hyper(306,a,849,a(flip),b,3728,a),flip(a)]. given #3517 (H,wt=15): 3730 a(x * y,x,x \ 1) = a(y,x,x \ 1). [hyper(306,a,2137,a(flip),b,3729,a),flip(a)]. given #3518 (H,wt=15): 3733 a(x \ y,x,x \ 1) = a(y,x,x \ 1). [para(10(a,1),3730(a,1,1)),flip(a)]. given #3519 (H,wt=18): 3732 a(x * y,x,x \ 1) != z | a(y,x,x \ 1) = z. [para(3729(a,2),2138(a,1))]. given #3520 (H,wt=20): 3731 a(x * (y / x),x,x \ 1) = (y / x) \ (y * (x \ 1)). [para(2130(a,1),3729(a,2,2))]. given #3521 (H,wt=19): 3737 a(x / y,y,x \ 1) = a(y * (x / y),y,y \ 1). [hyper(306,a,2596,a(flip),b,3731,a)]. given #3522 (H,wt=17): 3738 a(x / y,y,y \ 1) = a(x / y,y,x \ 1). [hyper(306,a,3730,a(flip),b,3737,a)]. given #3523 (H,wt=15): 3739 a(x / y,y,x \ 1) = a(x,y,y \ 1). [hyper(64,a,3659,a(flip),b,3738,a),flip(a)]. given #3524 (H,wt=20): 3736 a((x \ 1) \ y,x,x \ 1) = (x \ ((x \ 1) \ y)) \ y. [hyper(64,a,2651,a(flip),b,3733,a),flip(a)]. given #3525 (H,wt=27): 3735 a(x * K(y,z),T(z,y),T(z,y) \ 1) = a(z * x,T(z,y),T(z,y) \ 1). [para(2925(a,1),3730(a,1,1)),flip(a)]. given #3526 (H,wt=23): 3740 a(x * K(y,z),T(z,y),T(z,y) \ 1) = a(z * x,z,z \ 1). [hyper(306,a,3329,a(flip),b,3735,a),flip(a)]. given #3527 (H,wt=21): 3742 a(x * K(y,z),T(z,y),T(z,y) \ 1) = a(x,z,z \ 1). [hyper(306,a,3730,a(flip),b,3740,a),flip(a)]. given #3528 (H,wt=17): 3743 a(x * K(y,z),z,z \ 1) = a(x,z,z \ 1). [hyper(64,a,3329,a(flip),b,3742,a)]. given #3529 (H,wt=19): 3745 a(x,x \ 1,(y * K(z,x)) \ 1) = a(y,x,x \ 1). [hyper(64,a,2279,a,b,3743,a)]. given #3530 (H,wt=33): 2164 ((R(x \ K(y,x),z,u) \ 1) * (x \ K(y,x))) \ 1 = T(x,y) / (R(x \ K(y,x),z,u) \ 1). [para(780(a,2),1829(a,1,1))]. given #3531 (H,wt=31): 3746 ((T(x,y) * R(x \ K(y,x),z,u)) \ 1) \ 1 = T(x,y) / (R(x \ K(y,x),z,u) \ 1). [para(1828(a,1),2164(a,1,1))]. given #3532 (H,wt=27): 3747 T(x,y) / (R(x \ K(y,x),z,u) \ 1) = T(x,y) * R(x \ K(y,x),z,u). [hyper(333,a,3746,a),flip(a)]. given #3533 (H,wt=25): 3748 T(x,y) / (R(x \ K(y,x),z,u) \ 1) = T(x * R(x \ 1,z,u),y). [hyper(306,a,2662,a(flip),b,3747,a),flip(a)]. given #3534 (H,wt=33): 3734 a(T((x \ 1) \ y,z),x \ 1,(x \ 1) \ 1) = a(x \ T(x * y,z),x \ 1,(x \ 1) \ 1). [para(1291(a,1),3730(a,1,1)),flip(a)]. given #3535 (H,wt=29): 3749 a(T((x \ 1) \ y,z),x \ 1,(x \ 1) \ 1) = a(x \ T(x * y,z),x \ 1,x). [hyper(306,a,1371,a(flip),b,3734,a),flip(a)]. given #3536 (H,wt=29): 3750 a(T((x \ 1) \ y,z),x \ 1,(x \ 1) \ 1) = a(x \ T(x * y,z),x,x \ 1). [hyper(306,a,2341,a(flip),b,3749,a),flip(a)]. given #3537 (H,wt=27): 3751 a(T((x \ 1) \ y,z),x \ 1,(x \ 1) \ 1) = a(T(x * y,z),x,x \ 1). [hyper(306,a,3733,a(flip),b,3750,a),flip(a)]. given #3538 (H,wt=34): 1367 (x * (a(y,z,y) * (u * w))) \ ((x * (a(y,z,y) * u)) * w) != v5 | a(x,a(y,z,y) * u,w) = v5. [para(784(a,1),1084(a,1,1,2))]. given #3539 (H,wt=34): 1564 (T(x,y * z) * ((x * y) * z)) \ (x * ((x * y) * z)) != u | K((x * y) * z,T(x,y * z)) = u. [para(1552(a,1),302(a,1,2))]. given #3540 (H,wt=17): 3752 K((x * y) * z,T(x,y * z)) = K(y * z,x). [hyper(1564,a,2918,a)]. given #3541 (H,wt=13): 3753 K((x * y) * z,x) = K(y * z,x). [hyper(1963,a,3752,a)]. given #3542 (H,wt=13): 3755 K((x * y) * (y \ z),x) = K(z,x). [para(10(a,1),3753(a,2,1))]. given #3543 (H,wt=21): 3756 (x * y) * ((y \ z) * K(z,x)) = T((x * y) * (y \ z),x). [para(3755(a,1),3457(a,1,2,2))]. given #3544 (H,wt=34): 2450 (x * (T(y,z) * T(y,z))) \ ((x * R(T(y,z),u,y)) * T(y,z)) = a(x,R(T(y,z),u,y),T(y,z)). [para(810(a,1),540(a,1,1,2,2))]. given #3545 (H,wt=34): 2517 L(x * L(x \ 1,y,z),x \ u,x) * (x \ u) = (x \ u) * (u \ ((x * L(x \ 1,y,z)) * u)). [para(2481(a,1),1172(a,1,2,2)),flip(a)]. given #3546 (H,wt=32): 3758 L(x * L(x \ 1,y,z),x \ u,x) * (x \ u) = (x \ u) * T(x * L(x \ 1,y,z),u). [para(22(a,2),2517(a,2,2))]. given #3547 (H,wt=34): 2550 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(183(a,1),2526(a,1,2,2,1,2))]. given #3548 (H,wt=32): 3759 (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(22(a,2),2550(a,1,2,2,1)),flip(a)]. given #3549 (H,wt=30): 3760 (R(x,y,z) * R(R(x,y,z) \ (x * y),u,w)) * z = R(x,y,z) * (R(y,u,w) * z). [para(229(a,1),3759(a,2,2))]. given #3550 (H,wt=34): 2577 ((x / (y \ 1)) * L((x / (y \ 1)) \ 1,y,x)) \ 1 = (x / (y \ 1)) \ (1 / ((y \ 1) * (x \ 1))). [para(378(a,1),2575(a,2,2))]. given #3551 (H,wt=32): 3762 ((x / (y \ 1)) * L(y \ (x \ 1),y,x)) \ 1 = (x / (y \ 1)) \ (1 / ((y \ 1) * (x \ 1))). [para(579(a,1),2577(a,1,1,2,1))]. given #3552 (H,wt=29): 3763 (x / (y \ 1)) \ (1 / ((y \ 1) * (x \ 1))) = ((x / (y \ 1)) * ((x * y) \ 1)) \ 1. [para(293(a,1),3762(a,1,1,2)),flip(a)]. given #3553 (H,wt=29): 3764 (x / (y \ 1)) \ (1 / ((y \ 1) * (x \ 1))) = 1 \ ((x * y) * ((x / (y \ 1)) \ 1)). [hyper(306,a,518,a(flip),b,3763,a),flip(a)]. given #3554 (H,wt=27): 3765 (x / (y \ 1)) \ (1 / ((y \ 1) * (x \ 1))) = 1 \ ((x * y) * (y \ (x \ 1))). [para(579(a,1),3764(a,2,2,2))]. given #3555 (H,wt=25): 3766 (x / (y \ 1)) \ (1 / ((y \ 1) * (x \ 1))) = (x * y) * (y \ (x \ 1)). [hyper(306,a,66,a(flip),b,3765,a),flip(a)]. given #3556 (H,wt=23): 3767 (x / (y \ 1)) \ (1 / ((x * y) \ 1)) = (x * y) * (y \ (x \ 1)). [para(515(a,1),3766(a,1,2,2))]. given #3557 (H,wt=19): 3768 (x / (y \ 1)) \ (x * y) = (x * y) * (y \ (x \ 1)). [para(75(a,1),3767(a,1,2))]. given #3558 (H,wt=16): 3769 (x * y) * (y \ (x \ 1)) = a(x,y,y \ 1). [hyper(64,a,3633,a(flip),b,3768,a),flip(a)]. given #3559 (H,wt=34): 2646 ((x * (y * (z * K(u \ 1,u)))) \ ((x * y) * z)) * K(w \ 1,w) = a(x,y,z * K(u \ 1,u)). [hyper(1634,a,1011,a)]. given #3560 (H,wt=34): 3757 (x * (y * T(T(y,z),z))) \ ((x * R(T(y,z),u,y)) * T(y,z)) = a(x,R(T(y,z),u,y),T(y,z)). [para(2882(a,1),2450(a,1,1,2))]. given #3561 (H,wt=31): 3772 a(x,R(T(y,z),u,y),T(y,z)) = (x * (y * T(T(y,z),z))) \ ((x * T(y,z)) * T(y,z)). [para(810(a,1),3757(a,1,2,1,2)),flip(a)]. given #3562 (H,wt=31): 3774 a(x,R(T(y,z),u,y),T(y,z)) = (x * (y * T(T(y,z),z))) \ ((x * y) * T(T(y,z),z)). [para(3276(a,1),3772(a,2,2))]. given #3563 (H,wt=20): 3775 a(x,R(T(y,z),u,y),T(y,z)) = a(x,y,T(T(y,z),z)). [hyper(306,a,14,a,b,3774,a),flip(a)]. given #3564 (H,wt=17): 3776 a(x,T(y,z),T(y,z)) = a(x,y,T(T(y,z),z)). [para(449(a,1),3775(a,1,2))]. given #3565 (H,wt=35): 3192 K(x,y) * ((x / (x * y)) * T(z,(x \ (x / y)) \ 1)) = T((x \ (x / y)) * z,(x \ (x / y)) \ 1). [hyper(306,a,1382,a,b,3181,a),flip(a)]. given #3566 (H,wt=33): 3777 K(x,y) * ((x / (x * y)) * T(z,(x / y) \ x)) = T((x \ (x / y)) * z,(x \ (x / y)) \ 1). [para(3020(a,1),3192(a,1,2,2))]. given #3567 (H,wt=29): 3778 T((x \ (x / y)) * z,(x \ (x / y)) \ 1) = K(x,y) * ((x / (x * y)) * T(z,y)). [para(78(a,1),3777(a,1,2,2,2)),flip(a)]. given #3568 (H,wt=25): 3779 T((x \ (x / y)) * z,(x \ (x / y)) \ 1) = (x \ (x / y)) * T(z,y). [hyper(306,a,3181,a(flip),b,3778,a),flip(a)]. given #3569 (H,wt=23): 3780 T((x \ (x / y)) * z,(x / y) \ x) = (x \ (x / y)) * T(z,y). [hyper(3021,a,3779,a)]. given #3570 (H,wt=19): 3781 T((x \ (x / y)) * z,y) = (x \ (x / y)) * T(z,y). [para(78(a,1),3780(a,1,2))]. given #3571 (H,wt=21): 3782 x * T((y \ (y / x)) * z,x) = (y \ (y / x)) * (z * x). [para(3781(a,2),2641(a,1,2))]. given #3572 (H,wt=19): 3783 ((x \ (x / y)) * z) * y = (x \ (x / y)) * (z * y). [hyper(281,a,3782,a)]. given #3573 (H,wt=27): 3784 x * T(x \ ((y \ (y / x)) \ (z * x)),u) = T((y \ (y / x)) \ z,u) * x. [hyper(2365,a,3783,a)]. given #3574 (H,wt=27): 3786 x * T(x \ (x * (y / (z \ (z / x)))),u) = T((z \ (z / x)) \ y,u) * x. [para(3402(a,1),3784(a,1,2,1,2))]. given #3575 (H,wt=23): 3787 T((x \ (x / y)) \ z,u) * y = y * T(z / (x \ (x / y)),u). [para(9(a,1),3786(a,1,2,1)),flip(a)]. given #3576 (H,wt=31): 3785 (x \ (x / y)) * (T((x \ (x / y)) \ z,x) * y) = ((x / y) * T((x / y) \ z,x)) * y. [para(1698(a,1),3783(a,1,1)),flip(a)]. given #3577 (H,wt=27): 3789 (x \ (x / y)) * (T((x \ (x / y)) \ z,x) * y) = x * T(x \ (z * y),x). [hyper(306,a,2291,a(flip),b,3785,a),flip(a)]. given #3578 (H,wt=25): 3790 (x \ (x / y)) * (T((x \ (x / y)) \ z,x) * y) = (x \ (z * y)) * x. [hyper(306,a,106,a(flip),b,3789,a),flip(a)]. given #3579 (H,wt=23): 3791 (x \ (x / y)) * (T((x \ (x / y)) \ z,x) * y) = T(z * y,x). [hyper(306,a,793,a,b,3790,a),flip(a)]. given #3580 (H,wt=23): 3792 (x \ (x / y)) * (y * T(z / (x \ (x / y)),x)) = T(z * y,x). [para(3787(a,1),3791(a,1,2))]. given #3581 (H,wt=23): 3793 x * ((y \ (y / x)) * T(z / (y \ (y / x)),y)) = T(z * x,y). [hyper(64,a,2640,a(flip),b,3792,a)]. given #3582 (H,wt=35): 3431 (x * y) * ((T(y,z) * u) \ (T(y,z) * (u / y))) = y * (((T(y,z) * u) \ ((T(y,z) * u) / y)) * x). [para(1094(a,1),3430(a,1,2,2))]. given #3583 (H,wt=28): 3794 x * (((T(x,y) * z) \ ((T(x,y) * z) / x)) * u) = (u * x) * L(x \ 1,x,z). [para(3425(a,1),3431(a,1,2)),flip(a)]. given #3584 (H,wt=28): 3795 x * (((T(x,y) * z) \ (T(x,y) * (z / x))) * u) = (u * x) * L(x \ 1,x,z). [para(1094(a,1),3794(a,1,2,1,2))]. given #3585 (H,wt=21): 3797 (x * y) * L(y \ 1,y,z) = y * (L(y \ 1,y,z) * x). [para(3425(a,1),3795(a,1,2,1)),flip(a)]. given #3586 (H,wt=35): 3555 ((x / y) * (y * K(z,x))) \ ((z * x) / z) = ((x / y) * y) \ (((x / y) * (y * K(x,z))) * K(z,x)). [hyper(306,a,1746,a,b,3553,a)]. given #3587 (H,wt=31): 3798 ((x / y) * (y * K(z,x))) \ ((z * x) / z) = x \ (((x / y) * (y * K(x,z))) * K(z,x)). [para(12(a,1),3555(a,2,1))]. given #3588 (H,wt=31): 3799 T(((x / y) * (y * K(x,z))) / T(x,z),x) = ((x / y) * (y * K(z,x))) \ ((z * x) / z). [hyper(306,a,2902,a,b,3798,a)]. given #3589 (H,wt=26): 3800 ((x / y) * (y * K(z,x))) \ ((z * x) / z) = T(a(K(x,z),y,y \ x),x). [para(3638(a,1),3799(a,1,1)),flip(a)]. given #3590 (H,wt=24): 3801 ((x / y) * (y * K(z,x))) \ ((z * x) / z) = a(K(x,z),y,y \ x). [hyper(306,a,3380,a(flip),b,3800,a),flip(a)]. given #3591 (H,wt=17): 3802 a(K(x,y),z,z \ x) = a(x / z,z,K(y,x)). [hyper(64,a,1746,a(flip),b,3801,a),flip(a)]. given #3592 (H,wt=21): 3803 a(K(x * y,z),y,y \ (x * y)) = a(x,y,K(z,x * y)). [para(11(a,1),3802(a,2,1))]. given #3593 (H,wt=19): 3804 a(K(x * y,z),y,T(x,y)) = a(x,y,K(z,x * y)). [para(22(a,2),3803(a,1,3))]. given #3594 (H,wt=26): 3805 T(x * y,z) * a(x,y,K(z,x * y)) = (K(x * y,z) * y) * T(x,y). [para(3804(a,1),1929(a,1,2))]. given #3595 (H,wt=24): 3806 T(x * y,z) * a(x,y,K(z,x * y)) = x * (y * K(x * y,z)). [hyper(306,a,1560,a(flip),b,3805,a),flip(a)]. given #3596 (H,wt=10): 3807 a(x,y,K(z,x * y)) = 1. [hyper(117,a,3457,a(flip),b,3806,a),flip(a)]. given #3597 (H,wt=12): 3808 a(x,y,K(z,x * (y * z))) = 1. [para(2442(a,2),3807(a,1,3))]. given #3598 (H,wt=36): 2385 R(L(x,y,z),z * y,(z * y) \ (x * (z * y))) \ (x * (z * y)) = (z * y) * a(z,y,T(x,z * y)). [para(2384(a,1),1147(a,2,2))]. given #3599 (H,wt=32): 3809 R(L(x,y,z),z * y,T(x,z * y)) \ (x * (z * y)) = (z * y) * a(z,y,T(x,z * y)). [para(22(a,2),2385(a,1,1,3))]. given #3600 (H,wt=32): 3810 L(R(x,y * z,T(x,y * z)),z,y) \ (x * (y * z)) = (y * z) * a(y,z,T(x,y * z)). [para(29(a,1),3809(a,1,1))]. given #3601 (H,wt=23): 3811 L(x,y,z) \ (x * (z * y)) = (z * y) * a(z,y,T(x,z * y)). [para(809(a,1),3810(a,1,1,1))]. given #3602 (H,wt=23): 3812 (x * y) * a(x,y,T(z,x * y)) = z * (L(z,y,x) \ (x * y)). [hyper(64,a,1598,a(flip),b,3811,a),flip(a)]. given #3603 (H,wt=36): 2598 R(x / (x * R(x \ 1,y,z)),x * R(x \ 1,y,z),x \ u) \ u = L(R(x \ 1,y,z),x,u) * u. [hyper(306,a,617,a,b,2597,a)]. given #3604 (H,wt=34): 3813 R(L(x,y \ 1,z \ 1),x * R(x \ 1,y,z),x \ u) \ u = L(R(x \ 1,y,z),x,u) * u. [para(2587(a,1),2598(a,1,1,1))]. given #3605 (H,wt=34): 3814 L(R(x,x * R(x \ 1,y,z),x \ u),y \ 1,z \ 1) \ u = L(R(x \ 1,y,z),x,u) * u. [para(29(a,1),3813(a,1,1))]. given #3606 (H,wt=36): 3615 K(x,(y * z) / (y * (u \ z))) * (y * (K(u,x) * z)) = (y * (K(w,v5) * z)) * L(K(v5,T(w,v6)),z,y). [hyper(306,a,3396,a,b,3614,a)]. given #3607 (H,wt=20): 3815 L(K(x,T(y,z)),u,w) = K(x,(w * (y \ u)) \ (w * u)). [hyper(2126,a,3615,a),flip(a)]. given #3608 (H,wt=37): 2599 (((x * y) / L(z,y,x)) * z) / T(x * y,((x * y) / L(z,y,x)) * z) = ((x * (y * z)) / z) \ (x * y). [hyper(64,a,406,a,b,2472,a)]. given #3609 (H,wt=37): 2614 (x * ((y * R(y \ 1,z,u)) * y)) \ ((x * y) * (y * R(y \ 1,z,u))) = a(x,y * R(y \ 1,z,u),y). [hyper(118,a,2613,a(flip),b,81,a)]. given #3610 (H,wt=37): 3190 L(L(x \ 1,x,y) \ (x \ y),L(x \ 1,x,y),L(x \ 1,x,y)) = (x \ (y / x)) \ ((x \ y) * (x \ y)). [para(1070(a,1),3188(a,2,1))]. given #3611 (H,wt=28): 3817 L(x,L(y \ 1,y,x),L(y \ 1,y,x)) = (y \ (x / y)) \ ((y \ x) * (y \ x)). [para(934(a,1),3190(a,1,1))]. given #3612 (H,wt=37): 3504 K(x,(y * ((z * u) * (z \ (z / u)))) \ (y * (z * u))) = (y * z) \ (y * ((z * u) * T(z \ (z / u),x))). [para(381(a,1),3336(a,1,1,2)),flip(a)]. given #3613 (H,wt=31): 3818 K(x,(y * ((z * u) * (z \ (z / u)))) \ (y * (z * u))) = (y * z) \ (y * (z * K(x,u))). [para(2190(a,1),3504(a,2,2,2))]. given #3614 (H,wt=26): 3819 K(x,(y * ((z * u) * (z \ (z / u)))) \ (y * (z * u))) = L(K(x,u),z,y). [hyper(306,a,18,a,b,3818,a),flip(a)]. given #3615 (H,wt=18): 3820 K(x,(y * z) \ (y * (z * u))) = L(K(x,u),z,y). [para(381(a,1),3819(a,1,2,1,2))]. given #3616 (H,wt=13): 3821 L(K(x,y),z,u) = K(x,L(y,z,u)). [para(18(a,2),3820(a,1,2)),flip(a)]. given #3617 (H,wt=10): 3825 K(x,L(y,y,z)) = K(x,y). [hyper(3078,a,3821,a),flip(a)]. given #3618 (H,wt=12): 3830 K(x,L(y,z,K(x,u))) = K(x,y). [hyper(64,a,2745,a(flip),b,3821,a),flip(a)]. given #3619 (H,wt=12): 3841 T(x,L(y,y,z)) = x * K(x,y). [hyper(121,a,3825,a(flip),b,1935,a),flip(a)]. given #3620 (H,wt=10): 3843 T(x,L(y,y,z)) = T(x,y). [hyper(306,a,1892,a,b,3841,a),flip(a)]. given #3621 (H,wt=13): 3824 R(K(x,y),z,u) = K(x,L(y,z,u)). [hyper(3175,a,3821,a)]. given #3622 (H,wt=13): 3837 K(x,L(y,y,z)) != u | K(x,y) = u. [para(3821(a,1),3078(a,1))]. given #3623 (H,wt=13): 3845 R(K(x,y),z,u) = K(x,R(y,z,u)). [hyper(306,a,3356,a,b,3824,a),flip(a)]. given #3624 (H,wt=15): 3822 K(L(x,x \ y,z),u) = K(x,L(u,y,z)). [hyper(3333,a,3821,a)]. given #3625 (H,wt=13): 3848 K(x,L(y,z,x)) != u | K(x,y) = u. [para(3822(a,1),1844(a,1))]. given #3626 (H,wt=15): 3823 K(x,L(y,z * x,u)) = K(L(x,z,u),y). [hyper(3257,a,3821,a),flip(a)]. given #3627 (H,wt=15): 3827 x * L(K(x,y),z,u) = T(x,L(y,z,u)). [hyper(121,a,3821,a,b,1935,a)]. given #3628 (H,wt=15): 3834 K(x * y,L(x,z,u)) = L(K(y,x),z,u). [para(1884(a,1),3821(a,1,1)),flip(a)]. given #3629 (H,wt=15): 3844 T(L(x,x,y) * z,x) = z * L(x,x,y). [hyper(946,a,3843,a),flip(a)]. given #3630 (H,wt=15): 3847 R(K(x,y),z,u) \ 1 = K(y,R(x,z,u)). [hyper(3652,a,3845,a)]. given #3631 (H,wt=13): 3851 R(K(x,y),z,u) = K(R(x,z,u),y). [hyper(40,a,2177,a,b,3847,a),flip(a)]. given #3632 (H,wt=13): 3852 K(R(x,y,z),u) = K(x,L(u,y,z)). [hyper(64,a,3824,a(flip),b,3851,a),flip(a)]. given #3633 (H,wt=13): 3853 K(L(x,y,z),u) = K(x,L(u,y,z)). [hyper(3354,a,3852,a)]. given #3634 (H,wt=10): 3858 K(L(x,x,y),z) = K(x,z). [hyper(306,a,3238,a(flip),b,3853,a),flip(a)]. given #3635 (H,wt=12): 3862 K(L(x,K(y,z),u),y) = K(x,y). [para(2864(a,1),3853(a,2,2))]. given #3636 (H,wt=13): 3857 L(K(x,y),z,u) = K(L(x,z,u),y). [hyper(306,a,3821,a,b,3853,a)]. given #3637 (H,wt=15): 3849 K(x * y,L(x,z,u)) = K(y,L(x,z,u)). [hyper(306,a,3821,a(flip),b,3834,a),flip(a)]. given #3638 (H,wt=15): 3859 K(x,L(y,z * x,u)) = K(x,L(y,z,u)). [hyper(64,a,3823,a,b,3853,a)]. given #3639 (H,wt=15): 3864 K(x,y) * L(x,x,z) = L(T(x,y),x,z). [para(3858(a,1),1924(a,1,1))]. given #3640 (H,wt=15): 3869 K(x \ y,L(x,z,u)) = K(y,L(x,z,u)). [para(10(a,1),3849(a,1,1)),flip(a)]. given #3641 (H,wt=16): 3854 K(x,L(y,z,u)) != w | K(L(x,z,u),y) = w. [para(3852(a,1),3354(a,1))]. given #3642 (H,wt=16): 3855 K(x,L(L(y,y,z),u,w)) = K(L(x,u,w),y). [hyper(3837,a,3853,a),flip(a)]. given #3643 (H,wt=16): 3872 L(K(x,y),z,u) != w | K(L(x,z,u),y) = w. [para(3821(a,2),3854(a,1))]. given #3644 (H,wt=17): 3826 x / L(K(y,z),u,w) = x * K(L(z,u,w),y). [hyper(196,a,3821,a,b,2905,a)]. given #3645 (H,wt=17): 3828 K(x,y) * a(z,u,K(y,x)) = K(x,L(y,u,z)). [hyper(64,a,3544,a,b,3821,a)]. given #3646 (H,wt=17): 3835 K(x,L(y * K(z,u),w,v5)) = L(K(x,y),w,v5). [para(1993(a,1),3821(a,1,1)),flip(a)]. given #3647 (H,wt=17): 3836 L(K(x,y),z,u) \ w = w * K(L(y,z,u),x). [para(3821(a,2),2911(a,1,1))]. given #3648 (H,wt=17): 3840 K(x,y) * K(y,L(x,z,u)) = a(u,z,K(x,y)). [para(3821(a,1),3538(a,1,2))]. given #3649 (H,wt=17): 3850 (L(x,x,y) * z) * x = x * (z * L(x,x,y)). [hyper(121,a,3844,a(flip),b,22,a(flip)),flip(a)]. given #3650 (H,wt=17): 3868 K(x,y) * K(L(y,z,u),x) = a(u,z,K(x,y)). [para(3857(a,1),3538(a,1,2))]. given #3651 (H,wt=15): 3882 a(x,y * z,K(u,z)) = a(x,y,K(u,z)). [hyper(64,a,3548,a(flip),b,3868,a)]. given #3652 (H,wt=17): 3870 L(T(x,y \ x),x,z) = K(y,x) * L(x,x,z). [para(1909(a,1),3864(a,1,1)),flip(a)]. given #3653 (H,wt=17): 3873 x / L(K(y,z),u,w) = x * L(K(z,y),u,w). [para(3857(a,2),3826(a,2,2))]. given #3654 (H,wt=15): 3886 L(K(x,y),z,u) \ 1 = L(K(y,x),z,u). [hyper(2512,a,3873,a)]. given #3655 (H,wt=15): 3888 K(x,L(y,z / y,u)) = L(K(x,y),z,u). [hyper(3212,a,3886,a)]. given #3656 (H,wt=17): 3878 L(x,x,y) * (z * x) = x * (z * L(x,x,y)). [hyper(1156,a,3850,a)]. given #3657 (H,wt=17): 3879 K(x * L(y,z,u),x * y) = a(u,z,K(x,y)). [hyper(3115,a,3868,a)]. given #3658 (H,wt=17): 3880 K(x,L(y,z,u)) * a(u,z,K(x,y)) = K(x,y). [hyper(2920,a,3868,a)]. given #3659 (H,wt=17): 3881 a(x,y,K(z,u)) * K(z,L(u,y,x)) = K(z,u). [hyper(2915,a,3868,a)]. given #3660 (H,wt=17): 3883 L(K(x,y),z,u) * a(u,z,K(x,y)) = K(x,y). [hyper(121,a,3868,a(flip),b,3836,a)]. given #3661 (H,wt=17): 3885 a(x,y,K(z,u \ y)) = a(x,u,K(z,u \ y)). [para(10(a,1),3882(a,1,2))]. given #3662 (H,wt=17): 3889 K(x,L(y \ 1,z,u) \ 1) = L(K(x,y),z,u). [hyper(2738,a,3886,a)]. given #3663 (H,wt=17): 3890 L(K(x,y),z,u) * (L(K(y,x),z,u) * w) = w. [hyper(120,a,3886,a(flip),b,3314,a)]. given #3664 (H,wt=17): 3891 L(K(x,y \ z),z,u) = K(x,L(y \ z,y,u)). [para(75(a,1),3888(a,1,2,2)),flip(a)]. given #3665 (H,wt=17): 3894 x * ((y / x) * L(x,x,z)) = L(x,x,z) * y. [para(12(a,1),3878(a,1,2)),flip(a)]. given #3666 (H,wt=17): 3900 L(K(x,1 / y),z,u) = K(x,L(y,z,u) \ 1). [para(78(a,1),3889(a,1,2,1,1)),flip(a)]. given #3667 (H,wt=17): 3903 ((x * y) / x) * L(x,x,z) = L(x,x,z) * y. [hyper(35,a,1593,a(flip),b,3894,a),flip(a)]. given #3668 (H,wt=17): 3906 T(x,y \ 1) * L(y,y,z) = L(y,y,z) * x. [para(2051(a,2),3903(a,1,1))]. given #3669 (H,wt=18): 3832 (x * y) * K(z,L(u,y,x)) = x * (y * K(z,u)). [hyper(121,a,3821,a(flip),b,18,a(flip))]. given #3670 (H,wt=18): 3833 K(x,L(y,z,u)) * (z * u) = (z * K(x,y)) * u. [hyper(120,a,3821,a(flip),b,3165,a)]. given #3671 (H,wt=18): 3838 (x * y) * K(z,L(u,x,y)) = (x * K(z,u)) * y. [para(3821(a,1),3118(a,1,2))]. given #3672 (H,wt=18): 3839 K(x,L(y,z,u)) * (z * u) = (K(x,y) * z) * u. [para(3821(a,1),3166(a,1,1))]. given #3673 (H,wt=18): 3860 K(x \ (y \ z),L(u,x,y)) = K((y * x) \ z,u). [para(293(a,1),3853(a,1,1)),flip(a)]. given #3674 (H,wt=18): 3861 K(x,L(y \ 1,z,u)) != w | K(y,L(x,z,u)) = w. [para(3853(a,1),2080(a,1))]. given #3675 (H,wt=16): 3914 L(K(x,y),z,u) != w | K(x,L(y,z,u)) = w. [para(2736(a,1),3861(a,1))]. given #3676 (H,wt=16): 3915 R(K(x,y),z,u) != w | K(x,L(y,z,u)) = w. [para(3164(a,2),3914(a,1))]. given #3677 (H,wt=16): 3917 K(L(x,y,z),u) != w | K(x,L(u,y,z)) = w. [para(3857(a,1),3914(a,1))]. given #3678 (H,wt=18): 3871 K(x * y,L(y,z,u)) != w | K(x,L(y,z,u)) = w. [para(3869(a,1),1840(a,1))]. given #3679 (H,wt=18): 3887 (x * (y * K(z,u))) \ (x * y) = L(K(u,z),y,x). [hyper(675,a,3873,a)]. given #3680 (H,wt=18): 3892 K(x,(y * (z / u)) \ (y * z)) = L(K(x,u),z,y). [para(97(a,1),3888(a,1,2))]. given #3681 (H,wt=18): 3908 (x * y) \ ((x * K(z,u)) * y) = K(z,L(u,x,y)). [hyper(118,a,3833,a(flip),b,244,a(flip))]. given #3682 (H,wt=18): 3913 K(x \ (y \ z),L(u,x,y)) = K(u,z \ (y * x)). [hyper(306,a,2843,a(flip),b,3860,a),flip(a)]. given #3683 (H,wt=18): 3916 K(L(x,y,z),u) != w | K(x,L(u,y * x,z)) = w. [para(3210(a,1),3914(a,1))]. given #3684 (H,wt=18): 3920 K(x,L(y,z * x,u)) != w | K(x,L(y,z,u)) = w. [para(3823(a,2),3917(a,1))]. given #3685 (H,wt=18): 3922 (x * (y * K(z,u))) \ (x * y) = K(u,L(z,y,x)). [hyper(306,a,3821,a(flip),b,3887,a),flip(a)]. given #3686 (H,wt=18): 3923 K(x,(y * (z / u)) \ (y * z)) = K(x,L(u,z,y)). [hyper(306,a,3821,a(flip),b,3892,a),flip(a)]. given #3687 (H,wt=18): 3924 K(x \ y,L(z,x,u)) = K(z,(u * y) \ (u * x)). [para(9(a,1),3913(a,1,1,2))]. given #3688 (H,wt=19): 3842 K(x,(K(y,x) * z) \ u) = K(x,z \ (K(x,y) * u)). [para(2945(a,1),3830(a,1,2)),flip(a)]. given #3689 (H,wt=15): 3929 K(x,y \ (K(x,z) * u)) = K(x,y \ u). [hyper(64,a,3283,a(flip),b,3842,a),flip(a)]. given #3690 (H,wt=19): 3865 L(x,x,y) * (z * K(x,u)) = T(L(x,x,y),u) * z. [para(3858(a,1),2822(a,1,2,2))]. given #3691 (H,wt=19): 3866 K((x * K(y,z)) \ u,y) = K(K(y,z) \ (x \ u),y). [para(293(a,1),3862(a,1,1))]. given #3692 (H,wt=15): 3933 K((x * K(y,z)) \ u,y) = K(x \ u,y). [hyper(306,a,1854,a(flip),b,3866,a),flip(a)]. given #3693 (H,wt=15): 3935 K((K(x,y) * z) \ u,y) = K(z \ u,y). [para(2906(a,1),3933(a,1,1,1)),flip(a)]. given #3694 (H,wt=15): 3936 K(x \ (K(y,z) * u),y) = K(x \ u,y). [hyper(64,a,3424,a(flip),b,3935,a)]. given #3695 (H,wt=19): 3876 T(x,L(y,z,u)) * K(y,x) = x * a(u,z,K(y,x)). [hyper(121,a,3840,a(flip),b,2828,a),flip(a)]. given #3696 (H,wt=19): 3884 K(x,y) * K(y,L(x,z,u)) = a(u,y \ z,K(x,y)). [para(3822(a,1),3868(a,1,2))]. given #3697 (H,wt=15): 3940 a(x,y \ z,K(u,y)) = a(x,z,K(u,y)). [hyper(64,a,3840,a(flip),b,3884,a),flip(a)]. given #3698 (H,wt=19): 3905 K(x,L(y \ z,u,w) \ 1) = L(K(x,z \ y),u,w). [para(2866(a,1),3900(a,1,1)),flip(a)]. given #3699 (H,wt=19): 3921 K(x,L(L(y,y,z),u,w)) != v5 | K(x,L(y,u,w)) = v5. [para(3855(a,2),3917(a,1))]. given #3700 (H,wt=19): 3931 K(x,y \ (z * (u * x))) = K(x,y \ (z * (x * u))). [para(2792(a,1),3929(a,1,2,2)),flip(a)]. given #3701 (H,wt=15): 3941 K(x,x \ (y * (x * z))) = K(x,y * z). [hyper(64,a,2443,a(flip),b,3931,a),flip(a)]. given #3702 (H,wt=13): 3942 K(x,y * (x * z)) = K(x,y * z). [hyper(1838,a,3941,a)]. given #3703 (H,wt=19): 3932 L(x,x,y) * (z * K(x,u)) = L(T(x,u),x,y) * z. [para(25(a,2),3865(a,2,1))]. given #3704 (H,wt=19): 3938 K(x \ (y * (z * u)),u) = K(x \ (y * (u * z)),u). [para(2792(a,1),3936(a,1,1,2)),flip(a)]. given #3705 (H,wt=15): 3944 K(x \ (y * (x * z)),x) = K(y * z,x). [hyper(64,a,3061,a(flip),b,3938,a),flip(a)]. given #3706 (H,wt=15): 3945 K(x * (y \ (x \ z)),y) = K(y \ z,y). [para(72(a,1),3944(a,1,1,2)),flip(a)]. given #3707 (H,wt=19): 3939 T(x * K(y,x),L(y,z,u)) = x * a(u,z,K(y,x)). [hyper(64,a,3092,a,b,3876,a)]. given #3708 (H,wt=17): 3947 T(x * a(y,z,K(u,x)),u) = T(x,L(u,z,y)). [para(3939(a,1),1735(a,1,1))]. given #3709 (H,wt=19): 3946 (x \ (y * z)) * K(y \ (y * z),y) = x \ (z * y). [para(3945(a,1),3492(a,1,2))]. given #3710 (H,wt=15): 3948 (x \ (y * z)) * K(z,y) = x \ (z * y). [para(9(a,1),3946(a,1,2,1))]. given #3711 (H,wt=15): 3950 ((x * y) / z) \ (y * x) = z * K(y,x). [hyper(716,a,3948,a),flip(a)]. given #3712 (H,wt=20): 3831 (x * y) * K(z,L(u,x,y)) = y * (T(x,y) * K(z,u)). [hyper(121,a,3821,a(flip),b,3126,a(flip))]. given #3713 (H,wt=20): 3867 K(L(x,y,z),T(u,w)) = K(x,(z * (u \ y)) \ (z * y)). [hyper(64,a,3815,a(flip),b,3857,a),flip(a)]. given #3714 (H,wt=20): 3874 K(x,y) * K(y,L(x,z,u)) != w | a(u,z,K(x,y)) = w. [para(3828(a,1),2934(a,1,2)),flip(b)]. given #3715 (H,wt=18): 3953 a(x,y \ z,K(u,y)) != w | a(x,z,K(u,y)) = w. [para(3884(a,1),3874(a,1))]. given #3716 (H,wt=20): 3875 x \ y != y * K(L(z,u,w),v5) | L(K(v5,z),u,w) = x. [para(3836(a,1),49(a,1)),flip(a)]. given #3717 (H,wt=20): 3877 K(x,y) * a(z,u,K(y,x)) != w | K(x,L(y,u,z)) = w. [para(3840(a,1),2934(a,1,2)),flip(b)]. given #3718 (H,wt=20): 3893 K(x,(y * ((y \ z) / u)) \ z) = L(K(x,u),y \ z,y). [para(645(a,1),3888(a,1,2))]. given #3719 (H,wt=20): 3896 x * K(y,L(z,u,w)) != K(y,z) | a(w,u,K(y,z)) = x. [para(3880(a,1),357(a,1)),flip(a),flip(b)]. given #3720 (H,wt=20): 3902 L(K(x,y \ (z \ u)),z \ u,z) = K(x,(z * y) \ u). [para(293(a,1),3891(a,2,2))]. given #3721 (H,wt=20): 3904 L(x,x,y) * z != x * u | (z / x) * L(x,x,y) = u. [para(3894(a,1),44(a,1))]. given #3722 (H,wt=20): 3918 K(x,L(y * K(z,u),w,v5)) != v6 | K(x,L(y,w,v5)) = v6. [para(3835(a,2),3914(a,1))]. given #3723 (H,wt=20): 3927 K(x,(y * (z / u)) \ (y * z)) = x \ T(x,L(u,z,y)). [hyper(306,a,1935,a,b,3923,a),flip(a)]. given #3724 (H,wt=18): 3960 T(x,(y * (z / u)) \ (y * z)) = T(x,L(u,z,y)). [hyper(1906,a,3927,a)]. given #3725 (H,wt=15): 3961 T(x,L(y,z / y,u)) = T(x,L(y,z,u)). [para(97(a,2),3960(a,1,2))]. given #3726 (H,wt=20): 3928 K(x \ y,L(z,x,y \ u)) = K(z,u \ ((y \ u) * x)). [hyper(306,a,2980,a(flip),b,3924,a),flip(a)]. given #3727 (H,wt=21): 3899 x * a(y,z,K(u,w \ z)) = x * a(y,w,K(u,w \ z)). [hyper(121,a,3885,a,b,9,a)]. given #3728 (H,wt=21): 3901 a(x,y,K(z,u)) * (L(K(z,u),y,x) * w) = K(z,u) * w. [para(3890(a,1),3550(a,1,2)),flip(a)]. given #3729 (H,wt=21): 3907 x * (y * K(x * y,z)) != u | T(x * y,L(z,y,x)) = u. [para(3832(a,1),1894(a,1))]. given #3730 (H,wt=14): 3965 T(x * y,L(z,y,x)) = T(x * y,z). [hyper(3907,a,3457,a)]. given #3731 (H,wt=16): 3966 L(x,y,z) * T(z * y,x) = z * (y * x). [hyper(121,a,3965,a(flip),b,592,a)]. given #3732 (H,wt=18): 3968 L(x,y,z) * (x \ (z * y)) = (z * (y * x)) / x. [hyper(119,a,3966,a(flip),b,1191,a),flip(a)]. given #3733 (H,wt=21): 3910 (x * K(x * y,z)) * y != u | T(x * y,L(z,x,y)) = u. [para(3833(a,1),1895(a,1))]. given #3734 (H,wt=14): 3970 T(x * y,L(z,x,y)) = T(x * y,z). [hyper(3910,a,3453,a)]. given #3735 (H,wt=19): 3971 R(x,y,z) * T(y * z,x) = (y * z) * R(x,y,z). [para(3970(a,1),3351(a,1,2))]. given #3736 (H,wt=19): 3973 ((x * y) * z) * a(z,x,y) = (x * y) * R(z,x,y). [hyper(64,a,3341,a,b,3971,a)]. given #3737 (H,wt=15): 3977 a(x * K(y * z,x),y,z) = a(x,y,z). [hyper(2649,a,3973,a)]. given #3738 (H,wt=16): 3978 T((x * y) * z,x) = (y * z) * R(x,y,z). [hyper(64,a,3344,a(flip),b,3973,a)]. given #3739 (H,wt=17): 3976 K(x,y) * R(K(y,x),z,u) = a(K(y,x),z,u). [hyper(3505,a,3973,a)]. given #3740 (H,wt=17): 3981 a(x / (y * z),y,z) = a((y * z) \ x,y,z). [para(1733(a,1),3977(a,1,1))]. given #3741 (H,wt=17): 3985 K(x,y) * K(y,R(x,z,u)) = a(K(y,x),z,u). [para(3845(a,1),3976(a,1,2))]. given #3742 (H,wt=10): 3990 K(a(K(x,y),z,u),w) = 1. [para(3985(a,1),1734(a,1,1))]. given #3743 (H,wt=17): 3986 a((x * y) \ (z * (x * y)),x,y) = a(z,x,y). [para(11(a,1),3981(a,1,1)),flip(a)]. given #3744 (H,wt=18): 3982 T((x * y) * (y \ z),x) = z * R(x,y,y \ z). [hyper(306,a,151,a(flip),b,3978,a),flip(a)]. given #3745 (H,wt=19): 3974 a(x,y,z) = ((y * z) * x) \ ((y * z) * R(x,y,z)). [hyper(118,a,3971,a(flip),b,3341,a),flip(a)]. given #3746 (H,wt=19): 3983 K(x,y) * K(y,R(x,z,u)) = a(K(y,x),z * x,u). [para(3516(a,1),3976(a,1,2))]. given #3747 (H,wt=15): 3994 a(K(x,y),z * y,u) = a(K(x,y),z,u). [hyper(64,a,3985,a(flip),b,3983,a),flip(a)]. given #3748 (H,wt=20): 3972 ((x * y) * z) * K(y * z,x) = (y * z) * R(x,y,z). [hyper(3339,a,3971,a)]. given #3749 (H,wt=14): 3995 K(x * y,L(z,x,y)) = K(x * y,z). [hyper(3388,a,3972,a)]. given #3750 (H,wt=16): 3996 K(x,L(y,z,z \ x)) = K(z * (z \ x),y). [para(10(a,1),3995(a,1,1))]. given #3751 (H,wt=12): 3997 K(x,L(y,z,z \ x)) = K(x,y). [para(10(a,1),3996(a,2,1))]. given #3752 (H,wt=20): 3987 a(R(x / y,y,z),y,z) = a((y * z) \ (x * z),y,z). [para(103(a,2),3981(a,1,1))]. given #3753 (H,wt=21): 3919 K(x,(y * (z * u)) \ (y * z)) != w | K(u,L(x,z,y)) = w. [para(2844(a,2),3917(a,1))]. given #3754 (H,wt=21): 3943 L(T(x,y \ x),x,z) * u = L(x,x,z) * (u * K(y,x)). [para(1909(a,1),3932(a,1,2,2)),flip(a)]. given #3755 (H,wt=21): 3964 L(K(x,y),z,u) * (K(y,x) * w) = a(u,z,K(x,y)) \ w. [hyper(118,a,2914,a(flip),b,3901,a),flip(a)]. given #3756 (H,wt=17): 3999 a(x,y,K(z,u)) \ w = a(x,y,K(u,z)) * w. [hyper(64,a,3568,a(flip),b,3964,a),flip(a)]. given #3757 (H,wt=17): 4000 x / (a(y,z,K(u,w)) * x) = a(y,z,K(w,u)). [hyper(196,a,3568,a(flip),b,3964,a(flip))]. given #3758 (H,wt=17): 4001 a(x,y,K(z,u)) \ w = w * a(x,y,K(u,z)). [hyper(306,a,3539,a(flip),b,3999,a),flip(a)]. given #3759 (H,wt=17): 4004 (x * a(y,z,K(u,w))) \ x = a(y,z,K(w,u)). [hyper(820,a,4000,a)]. given #3760 (H,wt=19): 4006 a(x,y,K(z * u,z)) \ w = w * a(x,y,K(z,u)). [para(1811(a,1),4001(a,2,2,3))]. given #3761 (H,wt=15): 4008 a(x,y,K(z * u,z)) = a(x,y,K(u,z)). [hyper(40,a,4001,a,b,4006,a),flip(a)]. given #3762 (H,wt=15): 4009 a(x,y,K(z,z * u)) = a(x,y,K(z,u)). [hyper(39,a,3999,a,b,4006,a),flip(a)]. given #3763 (H,wt=15): 4010 a(x,y,K(z \ u,z)) = a(x,y,K(u,z)). [para(10(a,1),4008(a,1,3,1)),flip(a)]. given #3764 (H,wt=15): 4012 a(x,y,K(z,z \ u)) = a(x,y,K(z,u)). [para(10(a,1),4009(a,1,3,2)),flip(a)]. given #3765 (H,wt=15): 4013 a(x,y,K(z,u \ z)) = a(x,y,K(u,z)). [para(2843(a,1),4010(a,1,3))]. given #3766 (H,wt=15): 4014 a(x,y,K(z \ u,u)) = a(x,y,K(u,z)). [para(2843(a,2),4012(a,1,3))]. given #3767 (H,wt=17): 4011 a(x,y,K(z \ 1,u)) = a(x,y,K(z \ u,u)). [para(2148(a,1),4008(a,1,3)),flip(a)]. given #3768 (H,wt=15): 4015 a(x,y,K(z \ 1,u)) = a(x,y,K(u,z)). [hyper(306,a,4014,a(flip),b,4011,a),flip(a)]. given #3769 (H,wt=17): 4016 a(x,y,K(z \ u,w)) = a(x,y,K(w,u \ z)). [para(2840(a,1),4015(a,1,3))]. given #3770 (H,wt=20): 4002 a(x,y,K(z,u)) \ w != a(x,y,K(u,z)) * v5 | v5 = w. [para(3999(a,2),44(a,2)),flip(a)]. given #3771 (H,wt=20): 4003 x / (a(y,z,K(u,w)) * x) != v5 | a(y,z,K(w,u)) = v5. [para(3999(a,1),282(a,1,2)),flip(b)]. given #3772 (H,wt=20): 4005 x \ y != y * a(z,u,K(w,v5)) | a(z,u,K(v5,w)) = x. [para(4001(a,1),49(a,1)),flip(a)]. given #3773 (H,wt=22): 3895 K(x,(x / L(y,z,u)) * y) = a(u,z,K(x / L(y,z,u),y)). [para(12(a,1),3879(a,1,1))]. given #3774 (H,wt=22): 3952 K(x,y) * K(L(y,z,u),x) != w | a(u,z * y,K(x,y)) = w. [para(3823(a,1),3874(a,1,2))]. given #3775 (H,wt=22): 3955 L(K(x,y \ (z \ u)),z \ u,z) = K(x,T(y * z,w) \ u). [hyper(306,a,3050,a,b,3902,a),flip(a)]. given #3776 (H,wt=22): 3958 K(x,L(y \ T(z,u),w,v5)) != v6 | K(x,L(y \ z,w,v5)) = v6. [para(2169(a,1),3918(a,1,2,1))]. given #3777 (H,wt=22): 3959 K(x,L(T(y,z) \ u,w,v5)) != v6 | K(x,L(y \ u,w,v5)) = v6. [para(2948(a,1),3918(a,1,2,1))]. given #3778 (H,wt=22): 3993 T((x * y) * (y \ z),x) = z * (u * (u \ R(x,y,y \ z))). [hyper(306,a,152,a,b,3982,a),flip(a)]. given #3779 (H,wt=22): 4017 K(x,y * (L(y,z,u) \ x)) = a(u,z,K(x / L(y,z,u),y)). [hyper(2150,a,3895,a)]. given #3780 (H,wt=19): 4020 K(x,y * (L(y,z,u) \ x)) = a(u,z,K(y \ x,y)). [para(3060(a,1),4017(a,2,3))]. given #3781 (H,wt=17): 4021 K(x,y * (L(y,z,u) \ x)) = a(u,z,K(x,y)). [hyper(306,a,4010,a(flip),b,4020,a),flip(a)]. given #3782 (H,wt=17): 4023 K(x,x * (L(y,z,u) \ y)) = a(u,z,K(x,y)). [hyper(64,a,3256,a(flip),b,4021,a)]. given #3783 (H,wt=15): 4024 K(x,L(y,z,u) \ y) = a(u,z,K(x,y)). [hyper(2026,a,4023,a)]. given #3784 (H,wt=21): 4025 K(x * (L(y,z,u) \ y),x) = w / (a(u,z,K(x,y)) * w). [para(4023(a,1),2910(a,1,2,1)),flip(a)]. given #3785 (H,wt=17): 4026 K(x * (L(y,z,u) \ y),x) = a(u,z,K(y,x)). [hyper(306,a,4000,a(flip),b,4025,a),flip(a)]. given #3786 (H,wt=21): 4027 a(x,y,K(L(z,u,w) \ z,v5)) = a(x,y,a(w,u,K(z,v5))). [para(4026(a,1),4008(a,1,3)),flip(a)]. given #3787 (H,wt=23): 3863 ((x * y) * K(z,L(u,y,x))) \ (x * (y * T(z,u))) = L(z,y,x). [para(3853(a,1),2861(a,1,1,2))]. given #3788 (H,wt=20): 4028 (x * (y * K(z,u))) \ (x * (y * T(z,u))) = L(z,y,x). [para(3832(a,1),3863(a,1,1))]. given #3789 (H,wt=13): 4029 L(x,y * K(x,z),u) = L(x,y,u). [hyper(2862,a,4028,a)]. given #3790 (H,wt=15): 4030 L(T(x,y),T(x,z),u) = L(T(x,y),x,u). [para(1947(a,1),4029(a,1,2))]. given #3791 (H,wt=21): 4031 L(T(T(x,y),y \ 1),T(x,y),z) = L(x,T(T(x,y),u),z). [para(2053(a,1),4030(a,1,1)),flip(a)]. given #3792 (H,wt=17): 4032 L(T(T(x,y),y \ 1),T(x,y),z) = L(x,x,z). [para(866(a,1),4031(a,2,2))]. given #3793 (H,wt=21): 4033 L(T(T(x,y),y \ 1),T(x,y),z) = L(x,x,T(x,y) * z). [hyper(64,a,2477,a(flip),b,4032,a)]. given #3794 (H,wt=13): 4034 L(x,x,T(x,y) * z) = L(x,x,z). [hyper(64,a,4032,a(flip),b,4033,a),flip(a)]. given #3795 (H,wt=11): 4036 L(x,x,y * x) = L(x,x,y). [para(2054(a,1),4034(a,1,3))]. given #3796 (H,wt=18): 4037 ((x * y) * y) * L(y,y,x) = (x * y) * (y * y). [hyper(121,a,4036,a(flip),b,18,a(flip))]. given #3797 (H,wt=15): 4038 (x * (y * y)) * y = (x * y) * (y * y). [hyper(2471,a,4037,a)]. given #3798 (H,wt=18): 4039 ((x / y) * (y * y)) * y != z | x * (y * y) = z. [para(4038(a,2),309(a,1))]. given #3799 (H,wt=15): 4040 T(T((x * x) * y,x),x) = y * (x * x). [hyper(4039,a,2383,a(flip)),flip(a)]. given #3800 (H,wt=23): 3967 T(x * (x \ y),(x \ y) \ z) = T(x * (x \ y),y \ (x * z)). [para(605(a,1),3965(a,1,2)),flip(a)]. given #3801 (H,wt=19): 4042 T(x * (x \ y),(x \ y) \ z) = T(y,y \ (x * z)). [para(10(a,1),3967(a,2,1))]. given #3802 (H,wt=17): 4043 T(x * (x \ y),(x \ y) \ z) = T(y,x * z). [hyper(306,a,404,a(flip),b,4042,a),flip(a)]. given #3803 (H,wt=13): 4044 T(x,(y \ x) \ z) = T(x,y * z). [para(10(a,1),4043(a,1,1))]. given #3804 (H,wt=13): 4046 T(x,(x / y) * z) = T(x,y \ z). [para(78(a,1),4044(a,1,2,1)),flip(a)]. given #3805 (H,wt=13): 4047 T(x,y * (z \ x)) = T(x,z \ y). [hyper(64,a,2734,a(flip),b,4046,a)]. given #3806 (H,wt=13): 4049 T(x,(y \ x) * z) = T(x,y \ z). [hyper(1529,a,4047,a)]. given #3807 (H,wt=19): 4045 T(x,(y \ x) \ (z \ u)) = T(x,y * ((u \ z) \ 1)). [hyper(64,a,3433,a(flip),b,4044,a)]. given #3808 (H,wt=17): 4051 T(x,(y \ x) \ (z \ u)) = T(x,(u \ z) \ y). [hyper(306,a,3466,a(flip),b,4045,a),flip(a)]. given #3809 (H,wt=15): 4052 T(x,(y \ z) \ u) = T(x,u * (z \ y)). [hyper(64,a,4044,a(flip),b,4051,a),flip(a)]. given #3810 (H,wt=15): 4054 T(x,(y / z) \ u) = T(x,u * (y \ z)). [hyper(3107,a,4052,a)]. given #3811 (H,wt=15): 4055 T(x,(y * (z \ u)) * (u \ z)) = T(x,y). [hyper(1521,a,4052,a),flip(a)]. given #3812 (H,wt=15): 4057 T(x,(y \ z) * ((z \ y) * u)) = T(x,u). [para(3063(a,1),4055(a,1,2))]. given #3813 (H,wt=19): 4050 T(x,y \ (T(z,u) * w)) = T(x,(y \ x) * (z * w)). [hyper(64,a,2732,a(flip),b,4049,a),flip(a)]. given #3814 (H,wt=17): 4059 T(x,y \ (T(z,u) * w)) = T(x,y \ (z * w)). [hyper(306,a,4049,a(flip),b,4050,a),flip(a)]. given #3815 (H,wt=19): 4053 T(x,y \ (y \ (z * u))) = T(x,(y \ u) * (y \ z)). [hyper(3501,a,4052,a)]. given #3816 (H,wt=19): 4060 T(x,y \ ((z / u) * w)) = T(x,y \ ((u \ z) * w)). [para(108(a,1),4059(a,1,2,2,1)),flip(a)]. given #3817 (H,wt=21): 4062 T(x \ y,T(z,u)) = T(x \ y,y \ ((x \ y) * (z * x))). [hyper(3320,a,4060,a)]. given #3818 (H,wt=17): 4064 T(x \ y,T(z,u)) = T(x \ y,y \ (z * x)). [hyper(306,a,3246,a(flip),b,4062,a),flip(a)]. given #3819 (H,wt=15): 4065 T(x \ y,y \ (z * x)) = T(x \ y,z). [hyper(1517,a,4064,a),flip(a)]. given #3820 (H,wt=21): 4063 x \ T(x,y \ ((z \ u) * w)) = K(x,y \ ((u / z) * w)). [hyper(118,a,4060,a(flip),b,1892,a(flip))]. given #3821 (H,wt=19): 4066 K(x,y \ ((z / u) * w)) = K(x,y \ ((u \ z) * w)). [hyper(1913,a,4063,a),flip(a)]. given #3822 (H,wt=20): 4068 K(x,y \ ((z \ y) * (u * z))) = K(x,L(u,z,y / z)). [hyper(1981,a,4066,a),flip(a)]. given #3823 (H,wt=20): 4069 K(x,y \ ((z \ y) * (u * z))) = K(x,L(u,z,z \ y)). [para(3139(a,1),4068(a,2,2))]. given #3824 (H,wt=22): 4067 K(x,y \ ((z / u) * w)) != v5 | K(x,y \ ((u \ z) * w)) = v5. [para(4063(a,1),1913(a,1))]. given #3825 (H,wt=23): 3979 x \ ((y * z) * R((y * z) \ x,y,z)) = a((y * z) \ x,y,z). [hyper(118,a,3973,a(flip),b,151,a(flip))]. given #3826 (H,wt=20): 4070 x \ (((x / (y * z)) * y) * z) = a((y * z) \ x,y,z). [para(1184(a,1),3979(a,1,2))]. given #3827 (H,wt=23): 3984 K(x \ 1,y) * K(y,R(x,z,u) \ 1) = a(K(y,x \ 1),z,u). [para(3707(a,1),3976(a,1,2))]. given #3828 (H,wt=21): 4072 K(x \ 1,y) * K(y,R(x,z,u) \ 1) = a(K(x,y),z,u). [hyper(306,a,3682,a(flip),b,3984,a),flip(a)]. given #3829 (H,wt=23): 4018 L(K(x,y \ (z \ u)),z \ u,z) != w | K(x,(z * y) \ u) = w. [para(3955(a,2),3125(a,1))]. given #3830 (H,wt=23): 4019 (x * y) * a(y,z,z \ x) = x * (u * (u \ R(y,z,z \ x))). [hyper(64,a,3345,a,b,3993,a)]. given #3831 (H,wt=18): 4075 L(x \ R(x,y,y \ z),x,z) = a(x,y,y \ z). [hyper(595,a,4019,a)]. given #3832 (H,wt=22): 4077 L(T(x \ R(x,y,y \ z),u),x,z) = T(a(x,y,y \ z),u). [para(4075(a,1),25(a,2,1))]. given #3833 (H,wt=23): 4074 K(x,L(y \ (z \ u),z \ u,z)) != w | K(x,(z * y) \ u) = w. [para(3821(a,1),4018(a,1))]. given #3834 (H,wt=24): 3897 x \ y != K(z,u) * K(L(u,w,v5),z) | x * a(v5,w,K(z,u)) = y. [para(3881(a,1),2916(a,2,1))]. given #3835 (H,wt=24): 3911 T(K(x,L(y,z,u)) * (z * u),(z * u) \ 1) = (z * K(x,y)) * u. [hyper(2115,a,3838,a)]. given #3836 (H,wt=21): 4082 T((x * K(y,z)) * u,(x * u) \ 1) = (x * K(y,z)) * u. [para(3833(a,1),3911(a,1,1))]. given #3837 (H,wt=21): 4083 T((x * K(y,z)) * u,x \ (u \ 1)) = (x * K(y,z)) * u. [hyper(3442,a,4082,a)]. given #3838 (H,wt=24): 3954 L(K(x,K(y,z) * (u \ w)),u \ w,u) = K(x,(u * K(z,y)) \ w). [para(2910(a,1),3893(a,1,2,1,2)),flip(a)]. given #3839 (H,wt=24): 3998 a((x * y) \ ((x * z) * y),x,y) = a(R(T(z,x \ 1),x,y),x,y). [para(2051(a,2),3987(a,1,1,1)),flip(a)]. given #3840 (H,wt=24): 4071 (((x / y) * (y * z)) / z) \ ((x / y) * y) = a((y * z) \ x,y,z). [hyper(64,a,3717,a,b,4070,a)]. given #3841 (H,wt=24): 4079 T(a(x,y,y \ (y * z)),u) = L(T(x \ R(x,y,z),u),x,y * z). [para(9(a,1),4077(a,1,1,1,2,3)),flip(a)]. given #3842 (H,wt=24): 4080 x \ y != K(z,u) * K(u,L(z,w,v5)) | x * a(v5,w,K(z,u)) = y. [para(3853(a,1),3897(a,2,2))]. given #3843 (H,wt=24): 4081 x \ y != K(z,u) * L(K(u,z),w,v5) | x * a(v5,w,K(z,u)) = y. [para(3857(a,2),3897(a,2,2))]. given #3844 (H,wt=25): 3856 K(x * (y \ (z \ 1)),L(u,w,v5)) = K(u,L(x \ ((y \ 1) \ z),w,v5)). [hyper(3498,a,3853,a)]. given #3845 (H,wt=25): 3909 K(x,L(y,z,u)) * (z * u) != w * v5 | w \ ((z * K(x,y)) * u) = v5. [para(3833(a,2),633(a,1))]. given #3846 (H,wt=25): 3963 x * a(y,z \ 1,K(u,(z \ 1) \ w)) = x * a(y,w,K(u,w * z)). [para(3484(a,1),3899(a,1,2,3)),flip(a)]. given #3847 (H,wt=23): 4084 x * a(y,z \ 1,K(u,w * z)) = x * a(y,w,K(u,w * z)). [para(3484(a,1),3963(a,1,2,3))]. given #3848 (H,wt=25): 3988 a((x * y) \ ((x * y) / z),x,y) = a((x * y) \ (z \ (x * y)),x,y). [para(834(a,1),3981(a,1,1))]. given #3849 (H,wt=25): 4007 (T(x,x \ y) * a(z,u,K(w,v5))) \ ((x \ y) \ y) = a(z,u,K(v5,w)). [hyper(64,a,304,a(flip),b,4004,a)]. given #3850 (H,wt=25): 4056 T(x * K(y,z \ u),y * (u \ z)) = (z \ u) * T(x / (z \ u),y). [hyper(64,a,3194,a(flip),b,4052,a),flip(a)]. given #3851 (H,wt=23): 4085 T(x * K(y,z),y * (z \ y)) = (y \ z) * T(x / (y \ z),y). [para(1801(a,1),4056(a,1,1,2))]. given #3852 (H,wt=23): 4086 x * T(y * K(z,z / x),z * ((z / x) \ z)) = T(y * x,z). [para(4085(a,2),3793(a,1,2))]. given #3853 (H,wt=23): 4087 x * T(y * K(z,x \ z),z * ((z / x) \ z)) = T(y * x,z). [para(1783(a,1),4086(a,1,2,1,2))]. given #3854 (H,wt=21): 4088 x * T(y * K(x,z),z * ((z / x) \ z)) = T(y * x,z). [para(1909(a,1),4087(a,1,2,1,2))]. given #3855 (H,wt=17): 4089 x * T(y * K(x,z),z * x) = T(y * x,z). [para(78(a,1),4088(a,1,2,2,2))]. given #3856 (H,wt=15): 4090 T(x,y) * T(z,y * x) = T(z * x,y). [hyper(3096,a,4089,a)]. given #3857 (H,wt=15): 4092 T(x,y) * T(z,x * y) = T(z * x,y). [para(1479(a,1),4090(a,1,2))]. given #3858 (H,wt=17): 4091 T(x,y) * T(z,y * x) = y \ ((z * x) * y). [hyper(306,a,22,a(flip),b,4090,a),flip(a)]. given #3859 (H,wt=14): 4094 L(x,y,z) * (y * z) = (x * y) * z. [hyper(3273,a,4091,a(flip))]. given #3860 (H,wt=9): 4097 R(x,y,z) = L(x,y,z). [hyper(36,a,102,a,b,4094,a)]. given #3861 (H,wt=9): 4098 L(x,y,z) = R(x,y,z). [hyper(36,a,4094,a,b,102,a)]. given #3862 (H,wt=11): 4101 T(T(x,y),y) = T(x,y * y). [hyper(1439,a,4097,a)]. given #3863 (H,wt=16): 4095 L(x,y,y \ z) * z = (x * y) * (y \ z). [hyper(314,a,4094,a)]. given #3864 (H,wt=16): 4106 L(x,y,z) * (z * y) = (x * y) * T(z,y). [hyper(120,a,4097,a(flip),b,3366,a(flip))]. given #3865 (H,wt=17): 4093 T(x,y * z) * T(y,z) = T(T(x,y) * y,z). [hyper(1507,a,4092,a)]. given #3866 (H,wt=17): 4099 (x * y) * z != u * (y * z) | L(x,y,z) = u. [para(4094(a,1),45(a,1))]. given #3867 (H,wt=17): 4104 L(x,y \ 1,z \ 1) = L(x \ 1,y,z) \ 1. [hyper(64,a,2574,a(flip),b,4097,a),flip(a)]. given #3868 (H,wt=17): 4105 L(x \ 1,y \ 1,z \ 1) = L(x,y,z) \ 1. [hyper(64,a,2573,a(flip),b,4097,a),flip(a)]. given #3869 (H,wt=17): 4116 x * (y * T(z,x * y)) = (z * y) * T(x,y). [hyper(1154,a,4106,a)]. given #3870 (H,wt=17): 4117 T(x,y * z) * T(y,z) = T(T(x * y,y),z). [para(819(a,2),4093(a,2,1))]. given #3871 (H,wt=17): 4121 ((x \ (y \ z)) * x) * T(y,x) = T(z,y * x). [hyper(3277,a,4116,a),flip(a)]. given #3872 (H,wt=15): 4122 T(x \ y,z) * T(x,z) = T(y,x * z). [para(793(a,2),4121(a,1,1))]. given #3873 (H,wt=18): 4103 R(x,y,L(y \ 1,y,z)) = L(x,y,z \ (z / y)). [hyper(64,a,3367,a,b,4097,a)]. given #3874 (H,wt=19): 4124 T(x \ y,x * z) * T(x,z) = T(y,x * (x * z)). [para(414(a,1),4122(a,1,2))]. given #3875 (H,wt=17): 4128 T(T((x \ y) * x,x),z) = T(y,x * (x * z)). [hyper(64,a,4117,a(flip),b,4124,a)]. given #3876 (H,wt=15): 4129 T(T(T(x,y),y),z) = T(x,y * (y * z)). [para(793(a,2),4128(a,1,1,1))]. given #3877 (H,wt=15): 4130 T(T(x,y * y),z) = T(x,y * (y * z)). [para(4101(a,1),4129(a,1,1))]. given #3878 (H,wt=19): 4131 T(T(T(x,y * y),z),u) = T(T(x,z),y * (y * u)). [hyper(727,a,4130,a)]. given #3879 (H,wt=19): 4133 T(T(x,y * (y * z)),u) = T(T(x,z),y * (y * u)). [para(4130(a,1),4131(a,1,1))]. given #3880 (H,wt=20): 4109 x * L(x \ y,z,z \ x) = ((y / x) * z) * (z \ x). [para(4097(a,1),1185(a,1,2))]. given #3881 (H,wt=19): 4134 ((x / y) * z) * (z \ y) = (y / z) * (z * (y \ x)). [hyper(3146,a,4109,a),flip(a)]. given #3882 (H,wt=21): 4110 (x / (L(y / x,z,u) \ y)) * y = x * R(x \ y,z,u). [para(4097(a,1),2645(a,1,1,2,1))]. given #3883 (H,wt=21): 4136 (x / (L(y / x,z,u) \ y)) * y = x * L(x \ y,z,u). [para(4097(a,1),4110(a,2,2))]. given #3884 (H,wt=21): 4137 (x * L(x \ y,z,u)) / y = x / (L(y / x,z,u) \ y). [hyper(132,a,4136,a)]. given #3885 (H,wt=22): 4100 a(x,T(y,x),T(z,y * x)) = ((z * y) * x) \ (z * (y * x)). [para(4094(a,1),3136(a,1,1)),flip(a)]. given #3886 (H,wt=22): 4139 a(x,T(y,x),T(z,y * x)) = (z * y) \ ((z * (y * x)) / x). [hyper(306,a,3622,a(flip),b,4100,a),flip(a)]. given #3887 (H,wt=22): 4140 a(x,T(y,x),T(z,x * y)) = (z * y) \ ((z * (y * x)) / x). [para(1479(a,1),4139(a,1,3))]. given #3888 (H,wt=23): 4111 L(x / (x * y),z,u) \ (x / y) = x / (y * R(y \ 1,z,u)). [para(4097(a,1),2682(a,1,1))]. given #3889 (H,wt=23): 4112 T(x,L(y,z \ 1,u \ 1) \ w) = T(x,w * L(y \ 1,z,u)). [para(4097(a,1),3476(a,2,2,2))]. given #3890 (H,wt=23): 4115 (x * T(x,y * y)) / ((x / y) \ T(x,y)) = ((x / y) \ 1) \ x. [para(4101(a,1),3039(a,1,1,2))]. given #3891 (H,wt=23): 4138 (x / y) * L((x / y) \ 1,z,u) = x / (L(y / x,z,u) \ y). [hyper(64,a,2523,a,b,4137,a)]. given #3892 (H,wt=23): 4141 L(x / (x * y),z,u) \ (x / y) = x / (y * L(y \ 1,z,u)). [para(4097(a,1),4111(a,2,2,2))]. given #3893 (H,wt=25): 4107 L(x,y \ L(y,z,u),y) / y = L(y,z,u) / (y * (x \ L(y,z,u))). [hyper(119,a,4097,a(flip),b,2516,a)]. given #3894 (H,wt=25): 4113 T(x,y) / (L(x \ K(y,x),z,u) \ 1) = T(x * R(x \ 1,z,u),y). [para(4097(a,1),3748(a,1,2,1))]. given #3895 (H,wt=25): 4123 T((x \ y) \ z,(y \ x) * u) * T(x \ y,(y \ x) * u) = T(z,u). [hyper(306,a,4057,a(flip),b,4122,a),flip(a)]. given #3896 (H,wt=25): 4142 T(x,y) / (L(x \ K(y,x),z,u) \ 1) = T(x * L(x \ 1,z,u),y). [para(4097(a,1),4113(a,2,1,2))]. given #3897 (H,wt=25): 4143 T((x \ y) \ z,u * (y \ x)) * T(x \ y,(y \ x) * u) = T(z,u). [para(1479(a,1),4123(a,1,1))]. given #3898 (H,wt=21): 4145 T((x \ y) \ z,u * (y \ x)) * T(x \ y,u) = T(z,u). [para(3179(a,1),4143(a,1,2))]. given #3899 (H,wt=26): 3829 ((x * y) \ 1) \ (((x * K(z,u)) * y) \ 1) = K(u,L(z,x \ 1,y \ 1)). [hyper(64,a,2387,a,b,3821,a)]. given #3900 (H,wt=26): 3846 K(x,y \ ((z * u) * K(w,L(v5,z,u)))) = K(x,y \ ((K(w,v5) * z) * u)). [para(3824(a,1),2259(a,1,2,2,2))]. given #3901 (H,wt=25): 4148 K(x,y \ (z * (T(u,z) * K(w,v5)))) = K(x,y \ ((K(w,v5) * u) * z)). [para(3831(a,1),3846(a,1,2,2))]. given #3902 (H,wt=26): 3969 (x * y) \ (z * (L(z,y,x) \ (x * y))) = ((x * (y * z)) / z) \ (x * y). [para(3968(a,1),518(a,1,1)),flip(a)]. given #3903 (H,wt=26): 3975 R(x,y,z) * T(y * z,x) != u * w | u \ ((y * z) * R(x,y,z)) = w. [para(3971(a,2),633(a,1))]. given #3904 (H,wt=26): 3980 ((x * y) * z) * a(z,x,y) != u * w | u \ ((x * y) * R(z,x,y)) = w. [para(3973(a,2),633(a,1))]. given #3905 (H,wt=26): 4119 T(x,L(y,z \ 1,u \ 1) \ w) != v5 | T(x,w * L(y \ 1,z,u)) = v5. [para(4104(a,2),3480(a,1,2,1))]. given #3906 (H,wt=27): 4041 K(x,(x * x) * y) * K(x,(x * x) * y) = (y * (x * x)) \ ((x * x) * y). [para(4040(a,1),3098(a,1,1)),flip(a)]. given #3907 (H,wt=21): 4149 K(x,(x * x) * y) * K(x,(x * x) * y) = K(x * x,y). [hyper(306,a,16,a,b,4041,a),flip(a)]. given #3908 (H,wt=17): 4150 K(x,y) * K(x,(x * x) * y) = K(x * x,y). [para(2445(a,1),4149(a,1,1))]. given #3909 (H,wt=13): 4151 K(x,y) * K(x,y) = K(x * x,y). [para(2445(a,1),4150(a,1,2))]. given #3910 (H,wt=16): 4152 K(x,y) * K(x,y) != z | K(x * x,y) = z. [para(4151(a,2),1845(a,1))]. given #3911 (H,wt=25): 4153 K(x,y) \ (K(x,y) \ K(K(x,y),z)) = K(x * x,y) \ K(K(x,y),z). [para(4151(a,1),3275(a,1,1)),flip(a)]. given #3912 (H,wt=21): 4154 K(x,y) \ (K(x,y) \ K(K(x,y),z)) = K(x * x,y) \ 1. [para(34(a,1),4153(a,2,2))]. given #3913 (H,wt=19): 4155 K(x,y) \ (K(x,y) \ K(K(x,y),z)) = K(y,x * x). [hyper(2351,a,4154,a,b,2810,a)]. given #3914 (H,wt=15): 4157 K(x,y) \ (K(x,y) \ 1) = K(y,x * x). [para(34(a,1),4155(a,1,2,2))]. given #3915 (H,wt=13): 4159 K(x,y) \ K(y,x) = K(y,x * x). [para(2177(a,1),4157(a,1,2))]. given #3916 (H,wt=13): 4160 K(x,y) * K(x,y) = K(x,y * y). [hyper(2935,a,4159,a)]. given #3917 (H,wt=11): 4161 K(x * x,y) = K(x,y * y). [hyper(4152,a,4160,a)]. given #3918 (H,wt=15): 4162 (x * x) * K(x,y * y) = T(x * x,y). [hyper(121,a,4161,a(flip),b,1935,a)]. given #3919 (H,wt=13): 4163 x * T(x,y * y) = T(x * x,y). [hyper(2859,a,4162,a)]. given #3920 (H,wt=21): 4164 T(x * x,y) / ((x / y) \ T(x,y)) = ((x / y) \ 1) \ x. [para(4163(a,1),4115(a,1,1))]. given #3921 (H,wt=19): 4165 T(x * x,y) / (x * (y / x)) = ((x / y) \ 1) \ x. [para(976(a,1),4164(a,1,2))]. given #3922 (H,wt=17): 4166 (x * (y / x)) \ (x * x) = ((x / y) \ 1) \ x. [hyper(1514,a,4165,a)]. given #3923 (H,wt=19): 4167 (x * (T(y,x) / x)) \ (x * x) = ((y \ x) \ 1) \ x. [para(406(a,1),4166(a,2,1,1))]. given #3924 (H,wt=13): 4168 ((x \ y) \ 1) \ y = x \ (y * y). [para(814(a,1),4167(a,1,1)),flip(a)]. given #3925 (H,wt=17): 4169 ((x \ (x / y)) \ 1) \ x = (x * y) \ (x * x). [para(320(a,1),4168(a,1,1,1))]. given #3926 (H,wt=18): 4171 T(x,y \ (z * z)) != u | T(x,z * (y \ z)) = u. [para(4168(a,1),3480(a,1,2))]. given #3927 (H,wt=19): 4173 T(x,(y * y) * (z \ u)) = T(x,y * ((u \ z) \ y)). [hyper(4171,a,4052,a),flip(a)]. given #3928 (H,wt=21): 4170 (x \ (y / x)) \ ((x \ y) * (x \ y)) = (x \ 1) \ (x \ y). [para(838(a,1),4168(a,1,1,1)),flip(a)]. given #3929 (H,wt=22): 4172 (((x * y) \ ((x * y) / x)) \ 1) \ (x * y) = L(y,x,x * y). [hyper(306,a,18,a,b,4169,a),flip(a)]. given #3930 (H,wt=19): 4177 L(x,x \ 1,y \ 1) \ (x * y) = L(y,x,x * y). [para(1297(a,1),4172(a,1,1))]. given #3931 (H,wt=22): 4175 T(x,(y * y) * (z \ u)) != w | T(x,y * ((u \ z) \ y)) = w. [para(4052(a,1),4171(a,1))]. given #3932 (H,wt=22): 4176 L(x,L(y \ 1,y,x),L(y \ 1,y,x)) = (y \ 1) \ (y \ x). [hyper(64,a,3817,a,b,4170,a)]. given #3933 (H,wt=26): 4174 T(x,(y * y) * ((z \ 1) * u)) != w | T(x,y * (((u \ 1) * z) \ y)) = w. [para(3473(a,1),4171(a,1))]. given #3934 (H,wt=27): 4073 L(K(x,K(y,z) * (u \ w)),u \ w,u) != v5 | K(x,(u * K(v6,v7)) \ w) = v5. [para(2001(a,1),4018(a,1,1))]. given #3935 (H,wt=19): 4179 K(x,(y * K(z,u)) \ w) = K(x,(y * K(v5,v6)) \ w). [hyper(4073,a,3954,a)]. given #3936 (H,wt=15): 4180 K(x,(y * K(z,u)) \ w) = K(x,y \ w). [hyper(306,a,3282,a(flip),b,4179,a),flip(a)]. given #3937 (H,wt=19): 4183 K(x,((y / z) * u) \ w) = K(x,((z \ y) * u) \ w). [para(3080(a,1),4180(a,1,2,1)),flip(a)]. given #3938 (H,wt=19): 4184 K(x,(y * (z * K(u,w))) \ v5) = K(x,(y * z) \ v5). [para(3832(a,1),4180(a,1,2,1))]. given #3939 (H,wt=25): 4185 K(x,y * ((z \ 1) * ((u \ 1) \ w))) = K(x,((u \ (w \ 1)) * z) \ y). [hyper(64,a,3495,a,b,4183,a)]. given #3940 (H,wt=28): 3925 K(x * K(y,z),L(u,T(y,z) * x,w)) != v5 | K(x * K(y,z),L(u,y,w)) = v5. [para(2822(a,1),3920(a,1,2,2))]. given #3941 (H,wt=21): 4187 K(x * K(y,z),L(u,y,w)) = K(x,L(u,T(y,z) * x,w)). [hyper(3925,a,1850,a)]. given #3942 (H,wt=19): 4188 K(x * K(y,z),L(u,y,w)) = K(x,L(u,T(y,z),w)). [hyper(306,a,3859,a(flip),b,4187,a),flip(a)]. given #3943 (H,wt=15): 4189 K(x,L(y,T(z,u),w)) = K(x,L(y,z,w)). [hyper(1851,a,4188,a),flip(a)]. given #3944 (H,wt=17): 4191 T(x,L(y,T(z,u),w)) = x * K(x,L(y,z,w)). [hyper(121,a,4189,a(flip),b,1935,a),flip(a)]. given #3945 (H,wt=15): 4193 T(x,L(y,T(z,u),w)) = T(x,L(y,z,w)). [hyper(306,a,1892,a,b,4191,a),flip(a)]. given #3946 (H,wt=18): 4194 T(x,L(y,T(z,u),w)) != v5 | T(x,L(y,z,w)) = v5. [para(4191(a,2),1894(a,1))]. given #3947 (H,wt=19): 4192 a(x,T(y,z),K(u,w)) * K(u,L(w,y,x)) = K(u,w). [para(4189(a,1),3881(a,1,2))]. given #3948 (H,wt=15): 4195 a(x,T(y,z),K(u,w)) = a(x,y,K(u,w)). [hyper(3896,a,4192,a),flip(a)]. given #3949 (H,wt=28): 3957 a(x,x \ y,K(z \ (x \ y),u)) = K(u,(x * z) \ y) * K(z \ (x \ y),u). [para(3902(a,1),3545(a,1,1)),flip(a)]. given #3950 (H,wt=28): 4127 ((x * y) * L(y \ 1,y,z)) / (y * L(y \ 1,y,z)) = L(x,y,z \ (z / y)). [hyper(64,a,20,a(flip),b,4103,a)]. given #3951 (H,wt=28): 4132 T(T(x,((y * z) * y) * L(z,y,y * z)),u) = T(x,(y * z) * ((y * z) * u)). [para(93(a,2),4130(a,1,1,2))]. given #3952 (H,wt=28): 4196 a(x,x \ y,K(z,(x \ y) \ u)) = K(z,(x * u) \ y) * K(u \ (x \ y),z). [hyper(64,a,4016,a(flip),b,3957,a)]. given #3953 (H,wt=28): 4197 (x * (L(x \ 1,x,y) * z)) / (x * L(x \ 1,x,y)) = L(z,x,y \ (y / x)). [para(3797(a,1),4127(a,1,1))]. given #3954 (H,wt=28): 4198 T(T(x,(y * (z * y)) * L(z,y,y * z)),u) = T(x,(y * z) * ((y * z) * u)). [para(764(a,1),4132(a,1,1,2,1))]. given #3955 (H,wt=26): 4199 T(T(x,(y * (z * y)) * L(z,y,y)),u) = T(x,(y * z) * ((y * z) * u)). [para(3185(a,1),4198(a,1,1,2,2))]. given #3956 (H,wt=26): 4200 T(T(x,L(y,z,z) * (z * (y * z))),u) = T(x,(z * y) * ((z * y) * u)). [para(1479(a,1),4199(a,1,1))]. given #3957 (H,wt=29): 3898 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(3203(a,1),3883(a,1,1))]. given #3958 (H,wt=27): 4201 K(a(x,y,z),u) * a(x * y,z,a(x,y,K(z,u))) = K(L(z,y,x) \ z,u). [para(4027(a,1),3898(a,1,2))]. given #3959 (H,wt=17): 4202 K(L(x,y,z) \ x,u) = K(a(z,y,x),u) * 1. [para(3558(a,1),4201(a,1,2)),flip(a)]. given #3960 (H,wt=15): 4203 K(L(x,y,z) \ x,u) = K(a(z,y,x),u). [hyper(306,a,8,a(flip),b,4202,a),flip(a)]. given #3961 (H,wt=19): 4205 K(x,L(y,z,u) \ y) = w / (K(a(u,z,y),x) * w). [para(4203(a,1),2910(a,1,2,1)),flip(a)]. given #3962 (H,wt=15): 4206 K(x,L(y,z,u) \ y) = K(x,a(u,z,y)). [hyper(306,a,2919,a(flip),b,4205,a),flip(a)]. given #3963 (H,wt=13): 4207 a(x,y,K(z,u)) = K(z,a(x,y,u)). [hyper(64,a,4024,a(flip),b,4206,a)]. given #3964 (H,wt=15): 4209 K(x,x * a(y,z,u)) = a(y,z,K(x,u)). [hyper(306,a,1811,a,b,4207,a)]. given #3965 (H,wt=16): 4211 a(x,y,K(z,u)) != w | K(z,a(x,y,u)) = w. [para(4209(a,1),2026(a,1))]. given #3966 (H,wt=17): 4208 T(x,L(y,z,u) \ y) = x * K(x,a(u,z,y)). [hyper(121,a,4206,a(flip),b,1935,a),flip(a)]. given #3967 (H,wt=15): 4212 T(x,L(y,z,u) \ y) = T(x,a(u,z,y)). [hyper(306,a,1892,a,b,4208,a),flip(a)]. given #3968 (H,wt=17): 4210 a(x,y,K(z,u)) \ w = w * K(u,a(x,y,z)). [para(4207(a,1),4001(a,2,2))]. given #3969 (H,wt=13): 4214 a(x,y,K(z,u)) = K(a(x,y,z),u). [hyper(3043,a,4210,a),flip(a)]. given #3970 (H,wt=10): 4216 a(K(x,y),z,K(u,w)) = 1. [hyper(306,a,3990,a(flip),b,4214,a),flip(a)]. given #3971 (H,wt=12): 4217 K(a(x,y,z),x * (y * z)) = 1. [hyper(64,a,3808,a(flip),b,4214,a),flip(a)]. given #3972 (H,wt=12): 4218 L(K(x,y),z,K(u,w)) = K(x,y). [hyper(53,a,4216,a)]. given #3973 (H,wt=12): 4220 K(x,L(y,z,K(u,w))) = K(x,y). [hyper(3914,a,4218,a)]. given #3974 (H,wt=12): 4221 K(L(x,y,K(z,u)),w) = K(x,w). [hyper(3872,a,4218,a)]. given #3975 (H,wt=15): 4229 K(x,L(y,z,T(u,w))) = K(x,L(y,z,u)). [para(3560(a,1),4220(a,1,2))]. given #3976 (H,wt=15): 4230 K(x,L(y,z,a(u,w,K(v5,v6)))) = K(x,y). [para(3879(a,1),4220(a,1,2,3))]. given #3977 (H,wt=16): 4222 L(K(x,y),z,K(u,w)) = K(x,T(T(y,v5),v6)). [hyper(306,a,1945,a,b,4218,a),flip(a)]. given #3978 (H,wt=15): 4236 L(K(x,y),z,K(u,w)) != v5 | K(x,y) = v5. [para(4222(a,2),1982(a,1))]. given #3979 (H,wt=16): 4231 T(x,L(y,z,K(u,w))) = (K(y,x) / x) \ 1. [para(4221(a,1),1825(a,2,1,1))]. given #3980 (H,wt=15): 4238 T(x,L(y,z,K(u,w))) != v5 | T(x,y) = v5. [para(4231(a,2),1826(a,1))]. given #3981 (H,wt=17): 4233 K(x,L(y,z,u / w)) = K(x,L(y,z,w \ u)). [para(108(a,1),4229(a,1,2,3)),flip(a)]. given #3982 (H,wt=18): 4219 a(x,y,z) * (x * (y * z)) = 1 * ((x * y) * z). [para(4217(a,1),1081(a,1,1)),flip(a)]. given #3983 (H,wt=16): 4240 a(x,y,z) * (x * (y * z)) = (x * y) * z. [hyper(306,a,7,a(flip),b,4219,a),flip(a)]. given #3984 (H,wt=16): 4241 a(x,y,z) = ((x * y) * z) / (x * (y * z)). [hyper(119,a,7,a(flip),b,4219,a),flip(a)]. given #3985 (H,wt=18): 4239 T(x,L(y,z,T(u,w))) != v5 | T(x,L(y,z,u)) = v5. [para(3560(a,1),4238(a,1,2))]. given #3986 (H,wt=18): 4247 ((x * y) * (y \ z)) / (x * z) = a(x,y,y \ z). [para(10(a,1),4241(a,2,2,2)),flip(a)]. given #3987 (H,wt=19): 4213 a(x,y,K(z,L(u,w,v5))) = L(K(a(x,y,z),u),w,v5). [hyper(3875,a,4210,a),flip(a)]. given #3988 (H,wt=19): 4245 ((x * y) * z) / (x * (y * z)) != u | a(x,y,z) = u. [para(4240(a,1),259(a,1,1)),flip(b)]. given #3989 (H,wt=19): 4252 a(x,y,K(z,L(u,w,v5))) = L(a(x,y,K(z,u)),w,v5). [para(4214(a,2),4213(a,2,1))]. given #3990 (H,wt=20): 4215 K(x,((y * z) * u) \ (y * (z * u))) = a(y,z,K(u,x)). [hyper(306,a,2845,a,b,4214,a)]. given #3991 (H,wt=20): 4243 a(x / y,y,x \ z) \ z = (x / y) * (y * (x \ z)). [hyper(118,a,298,a(flip),b,4240,a)]. given #3992 (H,wt=18): 4256 (x / y) * (y * (x \ 1)) = a(x,y,y \ 1) \ 1. [para(3739(a,1),4243(a,1,1)),flip(a)]. given #3993 (H,wt=16): 4257 (x / y) * (y * (x \ 1)) = a(y,y \ 1,x). [hyper(306,a,2355,a(flip),b,4256,a),flip(a)]. given #3994 (H,wt=16): 4258 x * a(y,y \ 1,x) = y \ ((y \ 1) \ x). [hyper(121,a,4257,a(flip),b,3626,a)]. given #3995 (H,wt=21): 4237 K(x,L(y \ z,u,K(w,v5)) \ 1) != v6 | K(x,z \ y) = v6. [para(3905(a,2),4236(a,1))]. given #3996 (H,wt=21): 4253 ((x * y) * (y \ z)) / (x * z) != u | a(x,y,y \ z) = u. [para(10(a,1),4245(a,1,2,2))]. given #3997 (H,wt=22): 4248 ((x * K(y,z)) * u) / (x * (u * K(y,z))) = a(x,K(y,z),u). [para(244(a,1),4241(a,2,2,2)),flip(a)]. given #3998 (H,wt=22): 4249 (x * (y * z)) \ ((x * y) * z) = T(a(x,y,z),(x * y) * z). [para(4241(a,2),400(a,1,1)),flip(a)]. given #3999 (H,wt=15): 4260 T(a(x,y,z),(x * y) * z) = a(x,y,z). [hyper(1084,a,4249,a),flip(a)]. given #4000 (H,wt=15): 4261 T(a(x,y,z),z * (x * y)) = a(x,y,z). [hyper(1529,a,4260,a)]. given #4001 (H,wt=13): 4262 T(a(x,y,z),x * y) = a(x,y,z). [hyper(64,a,3720,a(flip),b,4261,a)]. given #4002 (H,wt=12): 4264 T(x * y,a(x,y,z)) = x * y. [hyper(55,a,4262,a)]. given #4003 (H,wt=13): 4263 a(x,y,T(z,y * x)) = a(x,y,z). [hyper(64,a,3609,a,b,4262,a)]. given #4004 (H,wt=13): 4267 a(x,y,T(z,x * y)) = a(x,y,z). [para(1479(a,1),4263(a,1,3))]. given #4005 (H,wt=14): 4265 T(x * y,L(z,y,x) \ z) = x * y. [hyper(64,a,4212,a,b,4264,a)]. given #4006 (H,wt=15): 4266 a(x \ y,x,T(z,y)) = a(x \ y,x,z). [para(10(a,1),4263(a,1,3,2))]. given #4007 (H,wt=19): 4269 x * (L(x,y,z) \ (z * y)) = (z * y) * a(z,y,x). [para(4267(a,1),3812(a,1,2)),flip(a)]. given #4008 (H,wt=21): 4270 a(x \ (y \ z),x,(y \ z) \ z) = a(x \ (y \ z),x,y). [para(107(a,1),4266(a,1,3))]. given #4009 (H,wt=22): 4250 ((x * y) * (y \ T(z,x))) / (z * x) = a(x,y,y \ T(z,x)). [para(220(a,1),4241(a,2,2)),flip(a)]. given #4010 (H,wt=23): 4234 K(x,L(y,z,(u \ 1) \ (w \ 1))) = K(x,L(y,z,(u \ w) \ 1)). [para(567(a,1),4229(a,1,2,3))]. given #4011 (H,wt=24): 4232 K(T(x,y) * z,L(z \ u,z,x)) = K(T(x,y) * z,T(x,y) * u). [hyper(1849,a,4229,a),flip(a)]. given #4012 (H,wt=24): 4251 T((x * y) \ ((x * z) * (z \ y)),(x * y) \ 1) = a(x,z,z \ y). [hyper(2117,a,4247,a)]. given #4013 (H,wt=19): 4273 T(a(x,y,y \ z),(x * z) \ 1) = a(x,y,y \ z). [para(82(a,1),4251(a,1,1))]. given #4014 (H,wt=19): 4274 T(a(x,y,y \ z),z \ (x \ 1)) = a(x,y,y \ z). [hyper(3439,a,4273,a)]. given #4015 (H,wt=24): 4254 (x * y) * a(z,u,K(w,L(v5,y,x))) = x * (y * a(z,u,K(w,v5))). [hyper(121,a,4252,a,b,18,a(flip))]. given #4016 (H,wt=24): 4268 L(a(x,y,z),u * (w * v5),K(v5,u * w)) = a(x,y,T(z,x * y)). [hyper(306,a,2781,a,b,4267,a)]. given #4017 (H,wt=16): 4275 a(x,y,T(z,x * y)) != u | a(x,y,z) = u. [para(4268(a,1),438(a,1))]. given #4018 (H,wt=23): 4276 a(x,y,(z * y) \ (x * y)) != u | a(x,y,R(x / z,z,y)) = u. [para(630(a,1),4275(a,1,3))]. given #4019 (H,wt=24): 4271 ((x * (y * z)) / z) \ (x * y) = (x * y) \ ((x * y) * a(x,y,z)). [para(4269(a,1),3969(a,1,2)),flip(a)]. given #4020 (H,wt=16): 4277 a(x,y,z) = ((x * (y * z)) / z) \ (x * y). [hyper(2351,a,4271,a,b,2994,a),flip(a)]. given #4021 (H,wt=15): 4279 a((x * y) \ z,x,y) = a(z / x,x,y). [hyper(306,a,4071,a(flip),b,4277,a)]. given #4022 (H,wt=15): 4282 a((x * y) \ (z * x),x,y) = a(z,x,y). [para(11(a,1),4279(a,2,1))]. given #4023 (H,wt=18): 4281 ((x * y) / (z \ y)) \ (x * z) = a(x,z,z \ y). [para(10(a,1),4277(a,2,1,1,2)),flip(a)]. given #4024 (H,wt=18): 4284 (x / (y \ (z \ x))) \ (z * y) = a(z,y,y \ x). [para(1214(a,1),4281(a,1,1))]. given #4025 (H,wt=19): 4278 ((x * (y * z)) / z) \ (x * y) != u | a(x,y,z) = u. [para(4271(a,2),286(a,1)),flip(b)]. given #4026 (H,wt=19): 4288 (x / (y \ 1)) \ (x * y) != z | a(x,y,y \ 1) = z. [para(70(a,1),4278(a,1,1,1))]. given #4027 (H,wt=20): 4286 ((x * y) / (z \ y)) \ (x * z) = a(x,z,z \ (x * y)). [para(9(a,1),4284(a,1,1,2,2))]. given #4028 (H,wt=15): 4289 a(x,y,y \ (x * z)) = a(x,y,y \ z). [hyper(64,a,4281,a(flip),b,4286,a),flip(a)]. given #4029 (H,wt=11): 4291 a(x,x,x \ y) = a(x,x,y). [para(9(a,1),4289(a,1,3)),flip(a)]. given #4030 (H,wt=13): 4290 a(x,y,y \ 1) = a(x,y,y \ x). [para(8(a,1),4289(a,1,3,2)),flip(a)]. given #4031 (H,wt=21): 4287 ((x * y) / (z \ y)) \ (x * z) != u | a(x,z,z \ y) = u. [para(10(a,1),4278(a,1,1,1,2))]. given #4032 (H,wt=18): 4292 a(x,y,y \ (x * z)) != u | a(x,y,y \ z) = u. [para(4286(a,1),4287(a,1))]. given #4033 (H,wt=16): 4293 a(x,y,y \ x) != z | a(x,y,y \ 1) = z. [para(8(a,1),4292(a,1,3,2))]. given #4034 (H,wt=22): 4283 a((x * y) \ (z * x),x,y) = ((z * (x * y)) / y) \ (z * x). [hyper(306,a,4277,a(flip),b,4282,a),flip(a)]. given #4035 (H,wt=22): 4285 ((x * (y * (z / y))) / (z / y)) \ (x * y) = a(x,y,y \ z). [para(3322(a,2),4281(a,1,1))]. given #4036 (H,wt=13): 4295 a(x,y,z / y) = a(x,y,y \ z). [hyper(4278,a,4285,a)]. given #4037 (H,wt=13): 4296 a(x,y,y \ (z * y)) = a(x,y,z). [para(11(a,1),4295(a,1,3)),flip(a)]. given #4038 (H,wt=11): 4299 a(x,y,T(z,y)) = a(x,y,z). [para(22(a,2),4296(a,1,3))]. given #4039 (H,wt=11): 4300 a(x,T(y,z),z) = a(x,y,z). [hyper(3346,a,4299,a),flip(a)]. given #4040 (H,wt=13): 4302 a(x,y,y / z) = a(x,y,z \ y). [para(400(a,1),4299(a,1,3)),flip(a)]. given #4041 (H,wt=13): 4303 a(x,y,(z \ y) \ y) = a(x,y,z). [para(403(a,1),4299(a,1,3))]. given #4042 (H,wt=17): 4298 a(x,y,y \ (y / z)) = a(x,y,y \ (z \ y)). [para(834(a,1),4295(a,1,3))]. given #4043 (H,wt=17): 4301 a(x,y,L(T(z,y),u,w)) = a(x,y,L(z,u,w)). [para(25(a,2),4299(a,1,3))]. given #4044 (H,wt=17): 4305 a(x,T(y,z),L(z,y,u)) = a(x,y,L(z,y,u)). [para(3234(a,1),4300(a,1,2))]. given #4045 (H,wt=21): 4306 a(x,T(y,z),L(T(u,y),w,v5)) = a(x,T(y,z),L(u,w,v5)). [para(1484(a,1),4301(a,1,3,1))]. given #4046 (H,wt=24): 4272 K(T(x,y) * z,T(x,y) * u) = K(z * T(x,y),L(z \ u,z,x)). [hyper(1845,a,4232,a),flip(a)]. given #4047 (H,wt=22): 4307 K(T(x,y) * z,T(x,y) * u) = K(z * x,L(z \ u,z,x)). [hyper(306,a,1856,a(flip),b,4272,a),flip(a)]. given #4048 (H,wt=24): 4294 a((x * y) \ (R(z,x,y) * x),x,y) = (z * x) \ (R(z,x,y) * x). [para(295(a,1),4283(a,2,1))]. given #4049 (H,wt=25): 4235 (a(x,y,K(z,u)) * w) * K(v5,v6) = a(x,y,K(z,u)) * (w * K(v5,v6)). [para(4230(a,1),3832(a,1,2))]. given #4050 (H,wt=26): 4309 K(T(x \ y,z) * x,T(x \ y,z) * u) = K(y,L(x \ u,x,x \ y)). [para(10(a,1),4307(a,2,1))]. given #4051 (H,wt=24): 4310 K(T(x \ y,z) * x,u * (x \ y)) = K(y,L(x \ u,x,x \ y)). [hyper(2123,a,4309,a)]. given #4052 (H,wt=22): 4312 K(x * (x \ y),z * (x \ y)) = K(y,L(x \ z,x,x \ y)). [para(2054(a,1),4310(a,1,1))]. given #4053 (H,wt=18): 4313 K(x,L(y \ z,y,y \ x)) = K(x,z * (y \ x)). [para(10(a,1),4312(a,1,1)),flip(a)]. given #4054 (H,wt=13): 4314 K(x,y * (z \ x)) = K(x,z \ y). [hyper(64,a,3997,a(flip),b,4313,a),flip(a)]. given #4055 (H,wt=18): 4317 K(x,y * (z \ x)) != u | K(x,x * (z \ y)) = u. [para(4314(a,2),1848(a,1))]. given #4056 (H,wt=18): 4318 K(x,(y \ x) * z) != u | K(x,x * (y \ z)) = u. [para(1953(a,1),4317(a,1))]. given #4057 (H,wt=28): 4244 (x * (y * z)) \ ((x * (y * z)) / a(x,y,z)) = (x * (y * z)) / ((x * y) * z). [hyper(196,a,4240,a(flip),b,908,a),flip(a)]. given #4058 (H,wt=23): 4319 (x * (y * z)) / ((x * y) * z) = ((x * y) * z) \ (x * (y * z)). [hyper(64,a,1085,a(flip),b,4244,a),flip(a)]. given #4059 (H,wt=29): 4061 T(x,(y \ 1) \ ((y \ 1) \ ((z \ 1) * u))) = T(x,((y \ 1) \ u) * ((z / y) \ 1)). [para(584(a,1),4053(a,2,2,2))]. given #4060 (H,wt=27): 4321 T(x,((((y \ 1) * z) / u) / u) \ 1) = T(x,((u \ 1) \ y) * ((z / u) \ 1)). [para(1358(a,1),4061(a,1,2))]. given #4061 (H,wt=27): 4322 T(x,((y \ 1) \ z) * ((u / y) \ 1)) = T(x,1 * ((((z \ 1) * u) / y) \ y)). [hyper(64,a,4054,a(flip),b,4321,a),flip(a)]. given #4062 (H,wt=27): 4323 T(x,((y \ 1) \ z) * ((u / y) \ 1)) = T(x,1 * (y * (((z \ 1) * u) \ y))). [para(350(a,1),4322(a,2,2,2))]. given #4063 (H,wt=25): 4324 T(x,((y \ 1) \ z) * ((u / y) \ 1)) = T(x,y * (((z \ 1) * u) \ y)). [para(7(a,1),4323(a,2,2))]. given #4064 (H,wt=29): 4078 (x * (y * (y \ R(y,z,z \ x)))) / (x * y) = T(a(y,z,z \ x),x \ (y \ 1)). [hyper(64,a,3438,a(flip),b,4077,a)]. given #4065 (H,wt=23): 4325 (x * (y * (y \ R(y,z,z \ x)))) / (x * y) = a(y,z,z \ x). [hyper(306,a,4274,a(flip),b,4078,a),flip(a)]. given #4066 (H,wt=19): 4326 (x * R(y,z,z \ x)) / (x * y) = a(y,z,z \ x). [para(10(a,1),4325(a,1,1,2))]. given #4067 (H,wt=19): 4328 x / ((x / R(y,z,z \ x)) * y) = a(y,z,z \ x). [hyper(64,a,3687,a(flip),b,4326,a)]. given #4068 (H,wt=20): 4327 T((x * y) * (y \ z),x) / (z * x) = a(x,y,y \ z). [para(3993(a,2),4325(a,1,1))]. given #4069 (H,wt=29): 4126 T((x \ y) \ z,y \ (u * x)) * T(x \ y,u) = T(z,(x \ y) * (y \ (u * x))). [para(4065(a,1),4122(a,1,2))]. given #4070 (H,wt=29): 4255 a(x \ 1,y,K(z,u)) != w | K((((x \ 1) * y) * z) * (((y * z) \ 1) * x),u) = w. [para(4215(a,1),3487(a,1))]. given #4071 (H,wt=31): 4125 T(x \ y,z \ (u \ w)) * T(x,z \ ((w \ u) \ 1)) = T(y,x * (z \ ((w \ u) \ 1))). [para(3433(a,1),4122(a,1,1))]. given #4072 (H,wt=29): 4330 T(x \ y,z \ (u \ w)) * T(x,z \ (u \ w)) = T(y,x * (z \ ((w \ u) \ 1))). [para(3433(a,1),4125(a,1,2))]. given #4073 (H,wt=21): 4331 T(x,y * (z \ ((u \ w) \ 1))) = T(x,y * (z \ (w \ u))). [hyper(64,a,4122,a(flip),b,4330,a),flip(a)]. given #4074 (H,wt=31): 4135 ((x / R(y,z,u)) * y) * (y \ R(y,z,u)) = (y \ R(y,z,u)) * (y * (R(y,z,u) \ x)). [para(417(a,1),4134(a,2,1))]. given #4075 (H,wt=31): 4178 T(x,L(y / z,(y / z) \ 1,z \ 1) \ ((y / z) * z)) = T(x,L(z,y,(y / z) * z)). [para(4177(a,2),3961(a,1,2))]. given #4076 (H,wt=24): 4332 T(x,((y / z) \ 1) \ ((z / y) * y)) = T(x,L(y,z,(z / y) * y)). [para(1296(a,1),4178(a,1,2,1))]. given #4077 (H,wt=20): 4333 T(x,L(y,z,(z / y) * y)) = T(x,((y / z) \ 1) \ z). [para(12(a,1),4332(a,1,2,2)),flip(a)]. given #4078 (H,wt=20): 4334 T(x,L(y,z,(z / y) * y)) = T(x,((z \ y) \ 1) \ z). [hyper(306,a,2978,a(flip),b,4333,a),flip(a)]. given #4079 (H,wt=16): 4335 T(x,((y \ z) \ 1) \ y) = T(x,L(z,y,y)). [para(12(a,1),4334(a,1,2,3)),flip(a)]. given #4080 (H,wt=18): 4336 K(x,((y \ z) \ 1) \ y) = x \ T(x,L(z,y,y)). [hyper(118,a,4335,a(flip),b,1892,a(flip)),flip(a)]. given #4081 (H,wt=16): 4337 K(x,((y \ z) \ 1) \ y) = K(x,L(z,y,y)). [hyper(306,a,1891,a,b,4336,a),flip(a)]. given #4082 (H,wt=16): 4338 K(x,((y \ z) \ 1) \ y) = L(K(x,z),y,y). [hyper(306,a,3821,a,b,4337,a),flip(a)]. given #4083 (H,wt=14): 4339 K(x,(y \ z) * y) = L(K(x,z),y,y). [hyper(3483,a,4338,a)]. given #4084 (H,wt=10): 4340 L(K(x,y),z,z) = K(x,y). [hyper(1980,a,4339,a),flip(a)]. given #4085 (H,wt=13): 4342 (x \ 1) * K(y,z) = x \ K(y,z). [hyper(121,a,4340,a(flip),b,4176,a(flip))]. given #4086 (H,wt=12): 4346 L(K(x,y),z \ 1,z) = K(x,y). [hyper(702,a,4342,a(flip))]. given #4087 (H,wt=12): 4350 L(K(x,y),z,z \ 1) = K(x,y). [hyper(2358,a,4346,a)]. given #4088 (H,wt=12): 4353 K(x,L(y,z,z \ 1)) = K(x,y). [hyper(3914,a,4350,a)]. given #4089 (H,wt=13): 4343 (1 / x) \ K(y,z) = x * K(y,z). [hyper(716,a,4342,a),flip(a)]. given #4090 (H,wt=13): 4345 K(x,y) * (z \ 1) = z \ K(x,y). [hyper(358,a,4342,a)]. given #4091 (H,wt=13): 4348 (x \ K(y,z)) \ (x \ 1) = K(z,y). [para(4342(a,1),2905(a,1,1))]. given #4092 (H,wt=13): 4356 (x \ y) * K(y,z) = x \ T(y,z). [hyper(2507,a,4343,a),flip(a)]. given #4093 (H,wt=10): 4361 L(x,x \ y,K(y,z)) = x. [hyper(2243,a,4356,a(flip))]. given #4094 (H,wt=13): 4360 (x * K(y,z)) \ 1 = x \ K(z,y). [hyper(2181,a,4345,a)]. given #4095 (H,wt=16): 4349 (x \ K(y,z)) \ (x \ 1) != u | K(z,y) = u. [para(4342(a,1),2923(a,1,1))]. given #4096 (H,wt=17): 4355 K(x,L(y,z,z \ 1)) = K(x,L(y,u,u \ x)). [hyper(306,a,3997,a,b,4353,a),flip(a)]. given #4097 (H,wt=15): 4367 K(x,L(y,z,z \ x)) != u | K(x,y) = u. [para(4355(a,1),3241(a,1))]. given #4098 (H,wt=15): 4368 K(x,L(y,z,z \ 1)) != u | K(x,y) = u. [para(4355(a,2),3241(a,1))]. given #4099 (H,wt=17): 4366 a(x,x \ 1,y \ K(x,z)) = a(y,x,x \ 1). [para(4360(a,1),3745(a,1,3))]. given #4100 (H,wt=19): 4363 (x \ (y \ z)) * K(y \ z,z \ 1) = x \ (z / y). [para(2067(a,1),4356(a,2,2))]. given #4101 (H,wt=18): 4369 K(x,y \ (z / u)) != w | K(x,y \ (u \ z)) = w. [para(4363(a,1),1994(a,1,2))]. given #4102 (H,wt=19): 4364 T((x * y) * (y \ z),x) = (x * y) * (y \ T(z,x)). [para(4356(a,1),3756(a,1,2)),flip(a)]. given #4103 (H,wt=19): 4370 K(x,y * (z \ (u / w))) = K(x,y * (z \ (w \ u))). [para(4363(a,1),2729(a,1,2,2))]. given #4104 (H,wt=22): 4365 L(L(x,x \ 1,y),(x \ 1) * y,K(y,z)) = L(x,x \ 1,y). [para(923(a,1),4361(a,1,2))]. given #4105 (H,wt=15): 4372 L(x,x \ 1,T(y,z)) = L(x,x \ 1,y). [hyper(64,a,3564,a(flip),b,4365,a)]. given #4106 (H,wt=22): 4371 T((x * y) * (y \ z),x) / (z * x) = a(x,y,y \ T(z,x)). [para(4364(a,2),4250(a,1,1))]. given #4107 (H,wt=15): 4373 a(x,y,y \ T(z,x)) = a(x,y,y \ z). [hyper(64,a,4327,a(flip),b,4371,a),flip(a)]. given #4108 (H,wt=17): 4374 a(x,y,y \ (z * x)) = a(x,y,y \ (x * z)). [para(792(a,1),4373(a,1,3,2))]. given #4109 (H,wt=15): 4375 a(x,y,y \ (z * x)) = a(x,y,y \ z). [hyper(306,a,4289,a(flip),b,4374,a),flip(a)]. given #4110 (H,wt=27): 4376 a(x,T(y,z),T(y,z) \ ((y * z) * x)) = a(x,T(y,z),y \ (x * (z * y))). [para(3002(a,1),4374(a,2,3))]. given #4111 (H,wt=25): 4377 a(x,T(y,z),y \ ((z * y) * x)) = a(x,T(y,z),y \ (x * (z * y))). [para(3008(a,1),4376(a,1,3))]. given #4112 (H,wt=31): 4186 K(x,L(L(y,K(z,u),w),w * K(z,u),v5)) = K(x,(v5 * w) \ (v5 * (w * (K(z,u) * y)))). [para(593(a,1),4184(a,1,2))]. given #4113 (H,wt=31): 4320 (x * (y * K(z,u))) / ((x * K(z,u)) * y) = ((x * K(z,u)) * y) \ (x * (K(z,u) * y)). [para(244(a,1),4319(a,1,1,2))]. given #4114 (H,wt=32): 4246 T(x,a((y / z) \ 1,u,w) * (((z \ y) \ 1) * (u * w))) = T(x,(((y / z) \ 1) * u) * w). [para(4240(a,1),2740(a,1,2)),flip(a)]. given #4115 (H,wt=32): 4378 T(x,a((y / z) \ 1,u,w) * (((z \ y) \ 1) * (u * w))) = T(x,w * (((y / z) \ 1) * u)). [hyper(306,a,1479,a,b,4246,a),flip(a)]. given #4116 (H,wt=32): 4379 T(x,a((y / z) \ 1,u,w) * (((z \ y) \ 1) * (u * w))) = T(x,w * (((z \ y) \ 1) * u)). [hyper(306,a,2740,a(flip),b,4378,a),flip(a)]. given #4117 (H,wt=33): 3962 K(x \ y,L(z,x,a(y,u,u \ 1))) = K(z,L(y,u,u \ 1) \ ((y \ L(y,u,u \ 1)) * x)). [para(2137(a,1),3928(a,1,2,3))]. given #4118 (H,wt=31): 4380 K(x \ y,L(z,x,a(y,u,u \ 1))) = K(z,L(y,u,u \ 1) \ (a(y,u,u \ 1) * x)). [para(2137(a,1),3962(a,2,2,2,1))]. given #4119 (H,wt=33): 4048 (((x * y) / L(z,y,x)) * z) / T(x * y,L(z,y,x) \ z) = ((x * (y * z)) / z) \ (x * y). [para(4046(a,1),2599(a,1,2))]. given #4120 (H,wt=26): 4381 (((x * y) / L(z,y,x)) * z) / (x * y) = ((x * (y * z)) / z) \ (x * y). [para(4265(a,1),4048(a,1,2))]. given #4121 (H,wt=26): 4382 (x * y) / (((x * y) / z) * L(z,y,x)) = ((x * (y * z)) / z) \ (x * y). [hyper(734,a,4381,a)]. given #4122 (H,wt=23): 4384 (x * y) / ((x * (y * z)) / z) = ((x * (y * z)) / z) \ (x * y). [para(2463(a,1),4382(a,1,2))]. given #4123 (H,wt=28): 4385 ((R(x,y,z) * (y * z)) / z) \ (R(x,y,z) * y) = (R(x,y,z) * y) / (x * y). [para(295(a,1),4384(a,1,2)),flip(a)]. given #4124 (H,wt=28): 4386 ((R(x,y,z) * (y * z)) / z) \ (R(x,y,z) * y) = y / (x * (R(x,y,z) \ y)). [hyper(306,a,2706,a(flip),b,4385,a),flip(a)]. given #4125 (H,wt=21): 4387 x / (y * (R(y,x,z) \ x)) = (y * x) \ (R(y,x,z) * x). [para(295(a,1),4386(a,1,1)),flip(a)]. given #4126 (H,wt=34): 4114 L(R(x,x * L(x \ 1,y,z),x \ u),y \ 1,z \ 1) \ u = L(R(x \ 1,y,z),x,u) * u. [para(4097(a,1),3814(a,1,1,1,2,2))]. given #4127 (H,wt=34): 4147 T(((x * y) \ ((x * K(z,u)) * y)) \ 1,((x * K(z,u)) * y) \ 1) = K(u,L(z,x \ 1,y \ 1)). [hyper(64,a,570,a,b,3829,a)]. given #4128 (H,wt=29): 4390 T(K(x,L(y,z,u)) \ 1,((z * K(x,y)) * u) \ 1) = K(y,L(x,z \ 1,u \ 1)). [para(3908(a,1),4147(a,1,1,1))]. given #4129 (H,wt=29): 4391 T(1 * K(L(x,y,z),u),((y * K(u,x)) * z) \ 1) = K(x,L(u,y \ 1,z \ 1)). [para(2911(a,1),4390(a,1,1))]. given #4130 (H,wt=29): 4392 T(1 * K(x,L(y,z,u)),((z * K(y,x)) * u) \ 1) = K(x,L(y,z \ 1,u \ 1)). [para(3853(a,1),4391(a,1,1,2))]. given #4131 (H,wt=19): 4393 K(x,L(y,z \ 1,u \ 1)) = 1 * K(x,L(y,z,u)). [hyper(243,a,4392,a)]. given #4132 (H,wt=20): 4394 K(x,L(y,z \ 1,u \ 1)) != w | K(x,L(y,z,u)) = w. [para(4393(a,2),122(a,1)),flip(b)]. given #4133 (H,wt=20): 4396 K(x,L(y,z \ 1,u)) != w | K(x,L(y,z,u \ 1)) = w. [para(326(a,1),4394(a,1,2,3))]. given #4134 (H,wt=34): 4259 (x * (y * K(z,u))) / (y * (T(x,y * K(z,u)) * K(z,u))) = a(y,K(z,u),T(x,y * K(z,u))). [para(106(a,1),4248(a,1,1))]. given #4135 (H,wt=30): 4397 (x * (y * K(z,u))) / (y * (T(x,y) * K(z,u))) = a(y,K(z,u),T(x,y * K(z,u))). [para(1478(a,1),4259(a,1,2,2,1))]. given #4136 (H,wt=28): 4399 (x * (y * K(z,u))) / ((x * K(z,u)) * y) = a(y,K(z,u),T(x,y * K(z,u))). [para(3094(a,1),4397(a,1,2))]. given #4137 (H,wt=24): 4400 (x * (y * K(z,u))) / ((x * K(z,u)) * y) = a(y,K(z,u),T(x,y)). [para(1478(a,1),4399(a,2,3))]. given #4138 (H,wt=24): 4401 ((x * K(y,z)) * u) \ (x * (K(y,z) * u)) = a(u,K(y,z),T(x,u)). [hyper(64,a,4320,a(flip),b,4400,a)]. given #4139 (H,wt=24): 4403 ((x * K(y,z)) * u) \ (x * (u * K(y,z))) = a(u,K(y,z),T(x,u)). [para(244(a,1),4401(a,1,2,2))]. given #4140 (H,wt=34): 4389 L(L(x,x * L(x \ 1,y,z),x \ u),y \ 1,z \ 1) \ u = L(R(x \ 1,y,z),x,u) * u. [para(4097(a,1),4114(a,1,1,1))]. given #4141 (H,wt=35): 4058 T(x,(y \ z) * (((z \ y) * L((z \ y) \ 1,u,w)) * v5)) = T(x,v5 * L(v5 \ ((z \ y) \ v5),u,w)). [para(2478(a,1),4057(a,1,2,2))]. given #4142 (H,wt=33): 4404 T(x,(y \ z) * ((z \ (y * L(y \ z,u,w))) * v5)) = T(x,v5 * L(v5 \ ((z \ y) \ v5),u,w)). [para(2519(a,1),4058(a,1,2,2,1))]. given #4143 (H,wt=36): 3912 K(x,L(y \ (z * u),y,K(w,L(v5,z,u))) \ 1) = K(x,((K(w,v5) * z) * u) \ (K(w,L(v5,z,u)) * y)). [para(3839(a,1),2870(a,2,2,1))]. given #4144 (H,wt=29): 4405 K(x,((K(y,z) * u) * w) \ (K(y,L(z,u,w)) * v5)) != v6 | K(x,(u * w) \ v5) = v6. [para(3912(a,1),4237(a,1))]. given #4145 (H,wt=37): 3816 (x * (y * (y * R(y \ 1,z,u)))) \ ((x * y) * (y * R(y \ 1,z,u))) = a(x,y * R(y \ 1,z,u),y). [para(1190(a,1),2614(a,1,1,2))]. given #4146 (H,wt=23): 4406 a(x,y * R(y \ 1,z,u),y) = a(x,y,y * R(y \ 1,z,u)). [hyper(1084,a,3816,a),flip(a)]. given #4147 (H,wt=37): 4144 (x / y) / (L((y \ x) \ K(x \ 1,y \ x),z,u) \ 1) = T((y \ x) * L((y \ x) \ 1,z,u),x \ 1). [para(2067(a,1),4142(a,1,1))]. given #4148 (H,wt=35): 4407 (x / y) / (L((y \ x) \ K(x,x \ y),z,u) \ 1) = T((y \ x) * L((y \ x) \ 1,z,u),x \ 1). [para(2847(a,1),4144(a,1,2,1,1,2))]. given #4149 (H,wt=33): 4408 T((x \ y) * L((x \ y) \ 1,z,u),y \ 1) = (y / x) / (L((x \ y) \ K(y,x),z,u) \ 1). [para(1801(a,1),4407(a,1,2,1,1,2)),flip(a)]. given #4150 (H,wt=31): 4409 T((x \ y) * L((x \ y) \ 1,z,u),y \ 1) = (y / x) / (L((y / x) \ 1,z,u) \ 1). [para(2129(a,1),4408(a,2,2,1,1))]. given #4151 (H,wt=31): 4410 T((x \ y) * L((x \ y) \ 1,z,u),y \ 1) = (y / x) / L(y / x,z \ 1,u \ 1). [para(4104(a,2),4409(a,2,2))]. given #4152 (H,wt=38): 2620 ((x * y) * (x * R(x \ 1,z,u))) \ (x * ((x * R(x \ 1,z,u)) * y)) = K(x * R(x \ 1,z,u),x * y). [hyper(118,a,2619,a(flip),b,85,a)]. given #4153 (H,wt=38): 4076 L(R(x,y,z) \ R(R(x,y,z),x \ 1,(x \ 1) \ u),R(x,y,z),u) = a(x \ 1,R(x,y,z),(x \ 1) \ u). [hyper(3693,a,4075,a(flip)),flip(a)]. given #4154 (H,wt=38): 4411 (x * (y * (x * R(x \ 1,z,u)))) \ (x * ((x * R(x \ 1,z,u)) * y)) = K(x * R(x \ 1,z,u),x * y). [para(3662(a,1),2620(a,1,1))]. given #4155 (H,wt=23): 4412 K(x * R(x \ 1,y,z),x * u) = K(x * R(x \ 1,y,z),u). [hyper(3004,a,4411,a),flip(a)]. given #4156 (H,wt=36): 4413 K((x \ 1) * R((x \ 1) \ 1,y,z),L(u,x,x \ 1)) = K((x \ 1) * R((x \ 1) \ 1,y,z),x * u). [hyper(64,a,1671,a(flip),b,4412,a)]. given #4157 (H,wt=30): 4414 K(x \ R(x,y,z),L(u,x,x \ 1)) = K((x \ 1) * R((x \ 1) \ 1,y,z),x * u). [para(1440(a,1),4413(a,1,1))]. given #4158 (H,wt=25): 4415 K((x \ 1) * R((x \ 1) \ 1,y,z),x * u) = K(x \ R(x,y,z),u). [hyper(4368,a,4414,a),flip(a)]. given #4159 (H,wt=25): 4417 K((x \ 1) * R((x \ 1) \ 1,y,z),x * u) = K(u,R(x,y,z) \ x). [hyper(306,a,2843,a(flip),b,4415,a),flip(a)]. given #4160 (H,wt=19): 4418 K(x \ R(x,y,z),x * u) = K(u,R(x,y,z) \ x). [para(1440(a,1),4417(a,1,1))]. given #4161 (H,wt=26): 4419 (x \ R(x,y,z)) * K(u,R(x,y,z) \ x) = T(x \ R(x,y,z),x * u). [hyper(121,a,4418,a(flip),b,1935,a)]. given #4162 (H,wt=19): 4420 T(x \ R(x,y,z),x * u) = T(x \ R(x,y,z),u). [hyper(2853,a,4419,a),flip(a)]. given #4163 (H,wt=26): 4421 L(x \ R(x,y,z),u,x) * (x * u) = x * (u * T(x \ R(x,y,z),u)). [para(4420(a,1),735(a,1,2,2)),flip(a)]. given #4164 (H,wt=24): 4423 (x * ((x \ R(x,y,z)) * u)) / (x * u) = L(x \ R(x,y,z),u,x). [hyper(119,a,218,a(flip),b,4421,a)]. given #4165 (H,wt=26): 4422 (x * y) \ (((x \ R(x,z,u)) * x) * y) = R(T(x \ R(x,z,u),y),x,y). [para(4420(a,1),745(a,2,1))]. given #4166 (H,wt=22): 4424 R(T(x \ R(x,y,z),u),x,u) = (x * u) \ (R(x,y,z) * u). [para(422(a,1),4422(a,1,2,1)),flip(a)]. given #4167 (H,wt=39): 2317 (x * (y * (x \ 1))) * L((x * y) \ ((x * y) / (x \ 1)),z,u) = (x * y) * ((x \ 1) * L((x \ 1) \ 1,z,u)). [para(2311(a,1),1418(a,1,1))]. given #4168 (H,wt=39): 2603 (x * ((y * z) * K(u \ 1,u))) \ (K(w \ 1,w) * ((x * y) * z)) = L(a(x,y,z),x * (y * z),K(w \ 1,w)). [para(1333(a,1),608(a,1,1))]. given #4169 (H,wt=39): 2629 L(L(x,y,z) * (L(x,y,z) \ (u \ L(x,y,z))),x,x \ 1) / (u \ L(x,y,z)) = u * L(u \ 1,x,x \ 1). [hyper(119,a,2628,a,b,2299,a)]. given #4170 (H,wt=29): 4428 L(x \ L(y,z,u),y,y \ 1) / (x \ L(y,z,u)) = x * L(x \ 1,y,y \ 1). [para(10(a,1),2629(a,1,1,1))]. given #4171 (H,wt=22): 4429 a(x \ L(y,z,u),y,y \ 1) = x * L(x \ 1,y,y \ 1). [hyper(2191,a,4428,a)]. given #4172 (H,wt=21): 4431 a(x \ L(y,z,u),y,y \ 1) = x * (y * ((x * y) \ 1)). [para(2333(a,1),4429(a,2,2))]. given #4173 (H,wt=18): 4432 a(x \ y,y,y \ 1) = x * (y * ((x * y) \ 1)). [para(430(a,1),4431(a,1,1,2))]. given #4174 (H,wt=15): 4433 a(x \ y,y,y \ 1) = a(y,y \ 1,x). [hyper(306,a,2337,a(flip),b,4432,a),flip(a)]. given #4175 (H,wt=21): 4434 a(T(x,y),T(x,y) \ 1,z) = a(z \ T(x,y),x,x \ 1). [hyper(64,a,3329,a(flip),b,4433,a),flip(a)]. given #4176 (H,wt=17): 4435 a(x \ T(y,z),y,y \ 1) = a(y,y \ 1,x). [hyper(3324,a,4434,a),flip(a)]. given #4177 (H,wt=15): 4436 a(x,x \ 1,y \ x) = a(y,x,x \ 1). [para(830(a,1),4435(a,1,1)),flip(a)]. given #4178 (H,wt=39): 4425 (x * (y * (x \ 1))) * L((x * y) \ (x * (y / (x \ 1))),z,u) = (x * y) * ((x \ 1) * L((x \ 1) \ 1,z,u)). [para(2310(a,1),2317(a,1,2,1,2))]. given #4179 (H,wt=34): 4437 (x * (y * (x \ 1))) * L(L(x,x \ 1,y),z,u) = (x * y) * ((x \ 1) * L((x \ 1) \ 1,z,u)). [para(2417(a,1),4425(a,1,2,1))]. given #4180 (H,wt=34): 4438 x * ((y * (x \ 1)) * L(L(x,x \ 1,y),z,u)) = (x * y) * ((x \ 1) * L((x \ 1) \ 1,z,u)). [hyper(64,a,1420,a(flip),b,4437,a)]. given #4181 (H,wt=29): 4439 (x * y) * ((x \ 1) * L((x \ 1) \ 1,z,u)) = x * (y * ((x \ 1) * L(x,z,u))). [para(527(a,1),4438(a,1,2)),flip(a)]. given #4182 (H,wt=27): 4440 (x * y) * ((x \ 1) * L((x \ 1) \ 1,z,u)) = x * (y * (x \ L(x,z,u))). [para(849(a,1),4439(a,2,2,2))]. given #4183 (H,wt=21): 4441 (x * y) * (x \ L(x,z,u)) = x * (y * (x \ L(x,z,u))). [para(1577(a,1),4440(a,1,2))]. given #4184 (H,wt=11): 4443 R(x,y,x \ L(x,z,u)) = x. [hyper(2588,a,4441,a)]. given #4185 (H,wt=16): 4442 L(x \ L(x,y,z),u,x) = x \ L(x,y,z). [hyper(3371,a,4441,a)]. given #4186 (H,wt=22): 4445 L(R(x \ L(x,y,z),u,w),v5,x) = R(x \ L(x,y,z),u,w). [para(4442(a,1),29(a,1,1)),flip(a)]. given #4187 (H,wt=25): 4446 (x \ 1) \ R(x \ L(x,y,z),u,w) = x * R(x \ L(x,y,z),u,w). [para(4445(a,1),2326(a,1,2))]. given #4188 (H,wt=32): 4444 (T(x,(x \ L(x,y,z)) \ (u \ 1)) * u) * (x \ L(x,y,z)) = (u * (x \ L(x,y,z))) * x. [para(4443(a,1),3441(a,2,2))]. given #4189 (H,wt=30): 4447 (T(x,L(x,y,z) \ (u \ 1)) * u) * (x \ L(x,y,z)) = (u * (x \ L(x,y,z))) * x. [para(3245(a,1),4444(a,1,1,1))]. given #4190 (H,wt=25): 4448 (T(x,y \ 1) * y) * (x \ L(x,z,u)) = (y * (x \ L(x,z,u))) * x. [para(2433(a,1),4447(a,1,1,1))]. given #4191 (H,wt=21): 4449 (x * (y \ L(y,z,u))) * y = (x * y) * (y \ L(y,z,u)). [para(2054(a,1),4448(a,1,1)),flip(a)]. given #4192 (H,wt=25): 4451 ((x * y) * (y \ L(y,z,u))) / L(y,z,u) = R(x,y \ L(y,z,u),y). [para(4449(a,1),556(a,1,1))]. given #4193 (H,wt=19): 4452 R(x,y \ L(y,z,u),y) = R(x,y,y \ L(y,z,u)). [hyper(1114,a,4451,a),flip(a)]. given #4194 (H,wt=19): 4453 R(x,y,y \ L(y,z,u)) = L(x,y \ L(y,z,u),y). [hyper(64,a,4098,a,b,4452,a),flip(a)]. given #4195 (H,wt=39): 4427 (x * (y * (z * K(u \ 1,u)))) \ (K(w \ 1,w) * ((x * y) * z)) = L(a(x,y,z),x * (y * z),K(w \ 1,w)). [para(523(a,1),2603(a,1,1,2))]. given #4196 (H,wt=39): 4454 L(a(x,y,z),x * (y * z),K(u \ 1,u)) = ((x * (y * (z * K(w \ 1,w)))) \ ((x * y) * z)) * K(v5 \ 1,v5). [hyper(1395,a,4427,a),flip(a)]. given #4197 (H,wt=26): 4456 L(a(x,y,z),x * (y * z),K(u \ 1,u)) = a(x,y,z * K(w \ 1,w)). [hyper(306,a,2646,a(flip),b,4454,a),flip(a)]. given #4198 (H,wt=15): 4457 a(x,y,z * K(u \ 1,u)) = a(x,y,z). [hyper(438,a,4456,a),flip(a)]. given #4199 (H,wt=13): 4459 a(x,y,(z \ 1) \ 1) = a(x,y,z). [para(345(a,1),4457(a,1,3)),flip(a)]. given #4200 (H,wt=40): 1685 (x * (y * z)) * R(((x * y) * L(z,y,x)) \ (x * y),u,w) = (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)). [para(93(a,1),1274(a,1,1))]. given #4201 (H,wt=37): 4460 (x * (y * z)) * R((x * (y * z)) \ (x * y),u,w) = (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)). [para(93(a,1),1685(a,1,2,1,1))]. given #4202 (H,wt=33): 4461 (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)) = x * ((y * z) * R((y * z) \ y,u,w)). [hyper(1683,a,4460,a),flip(a)]. given #4203 (H,wt=31): 4462 (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)) = x * (y * (z * R(z \ 1,u,w))). [para(1274(a,1),4461(a,2,2))]. given #4204 (H,wt=26): 4463 L(x,y,z) * R(L(x,y,z) \ 1,u,w) = L(x * R(x \ 1,u,w),y,z). [hyper(595,a,4462,a),flip(a)]. given #4205 (H,wt=26): 4464 L(x,y,z) * R(L(x,y,z) \ 1,u,w) = R(x * R(x \ 1,u,w),y,z). [hyper(306,a,4097,a,b,4463,a),flip(a)]. given #4206 (H,wt=28): 4470 L(x \ 1,y,z) * R(L(x \ 1,y,z) \ 1,u,w) = R(x \ R(x,u,w),y,z). [para(1440(a,1),4464(a,2,1))]. given #4207 (H,wt=30): 4467 L(x,y,z) * L(L(x,y,z) \ 1,u,u \ 1) = L(x * R(x \ 1,u,u \ 1),y,z). [para(2134(a,1),4463(a,1,2))]. given #4208 (H,wt=30): 4471 L(x,y,z) * L(L(x,y,z) \ 1,u,u \ 1) = L(x * L(x \ 1,u,u \ 1),y,z). [para(2134(a,1),4467(a,2,1,2))]. given #4209 (H,wt=29): 4472 L(x,y,z) * (u * ((L(x,y,z) * u) \ 1)) = L(x * L(x \ 1,u,u \ 1),y,z). [para(2333(a,1),4471(a,1,2))]. given #4210 (H,wt=23): 4473 L(x * L(x \ 1,y,y \ 1),z,u) = a(y,y \ 1,L(x,z,u)). [hyper(2362,a,4472,a),flip(a)]. given #4211 (H,wt=22): 4474 L(x * (y * ((x * y) \ 1)),z,u) = a(y,y \ 1,L(x,z,u)). [para(2333(a,1),4473(a,1,1,2))]. given #4212 (H,wt=19): 4475 a(x,x \ 1,L(y,z,u)) = L(a(x,x \ 1,y),z,u). [para(2337(a,1),4474(a,1,1)),flip(a)]. given #4213 (H,wt=20): 4478 L(a(x,x \ 1,y \ 1),z,y) = a(x,x \ 1,y \ 1). [para(2308(a,1),4475(a,1,3)),flip(a)]. given #4214 (H,wt=18): 4480 L(a(x,y,y \ 1),z,x) = a(y,y \ 1,x \ 1). [para(2279(a,1),4478(a,1,1))]. given #4215 (H,wt=16): 4481 L(a(x,y,y \ 1),z,x) = a(x,y,y \ 1). [hyper(306,a,2279,a(flip),b,4480,a),flip(a)]. given #4216 (H,wt=21): 4477 a(x,x \ 1,L(y \ 1,z,u)) = L(a(y,x,x \ 1),z,u). [para(2279(a,1),4475(a,2,1))]. given #4217 (H,wt=21): 4479 a(x,x \ 1,L(y \ x,z,u)) = L(a(y,x,x \ 1),z,u). [para(4436(a,1),4475(a,2,1))]. given #4218 (H,wt=22): 4483 L(a(x \ y,z,z \ 1),x \ y,x) = a(z,z \ 1,y \ x). [para(462(a,1),4477(a,1,3)),flip(a)]. given #4219 (H,wt=24): 4484 L(a(x \ y,z,z \ 1),x \ y,x) = a(z,z \ 1,y \ (x * z)). [para(605(a,1),4479(a,1,3)),flip(a)]. given #4220 (H,wt=19): 4485 a(x,x \ 1,y \ (z * x)) = a(x,x \ 1,y \ z). [hyper(64,a,4483,a(flip),b,4484,a),flip(a)]. given #4221 (H,wt=25): 4482 x * (y * T(a(x,z,z \ 1),x * y)) = a(x,z,z \ 1) * (x * y). [para(4481(a,1),735(a,2,1))]. given #4222 (H,wt=26): 4476 L((x * y) \ ((x \ 1) \ y),z,u) = a(x,x \ 1,L((x \ 1) \ y,z,u)). [para(1100(a,1),4475(a,2,1)),flip(a)]. given #4223 (H,wt=27): 4486 a(T(x,y),T(x,y) \ 1,z \ (x * y)) = a(T(x,y),T(x,y) \ 1,z \ y). [para(106(a,1),4485(a,1,3,2))]. given #4224 (H,wt=23): 4488 a(T(x,y),T(x,y) \ 1,z \ y) = a(x,x \ 1,z \ (x * y)). [hyper(3324,a,4486,a),flip(a)]. given #4225 (H,wt=19): 4489 a(x,x \ 1,y \ (x * z)) = a(x,x \ 1,y \ z). [hyper(3324,a,4488,a),flip(a)]. given #4226 (H,wt=15): 4490 a(x,x \ 1,x \ y) = a(x,x \ 1,y). [para(9(a,1),4489(a,1,3)),flip(a)]. given #4227 (H,wt=15): 4493 a(x,x \ 1,x * y) = a(x,x \ 1,y). [para(9(a,1),4490(a,1,3)),flip(a)]. given #4228 (H,wt=16): 4492 ((x \ 1) * y) * (y \ x) = a(y,y \ 1,x). [hyper(64,a,2391,a(flip),b,4490,a)]. given #4229 (H,wt=16): 4496 ((x \ 1) * y) \ (x \ y) = a(x,x \ 1,y). [hyper(64,a,2392,a,b,4492,a)]. given #4230 (H,wt=16): 4497 (x \ y) \ a(x,x \ 1,y) = (y \ 1) * x. [para(4496(a,1),2394(a,1,2))]. given #4231 (H,wt=16): 4498 (x \ y) * ((y \ 1) * x) = a(x,x \ 1,y). [hyper(135,a,4497,a)]. given #4232 (H,wt=19): 4491 a(x,x \ 1,y \ (x \ z)) = a(x,x \ 1,y \ z). [para(10(a,1),4489(a,1,3,2)),flip(a)]. given #4233 (H,wt=21): 4495 a(x,x \ 1,L(x \ y,z,u)) = L(a(x,x \ 1,y),z,u). [para(4490(a,1),4475(a,2,1))]. given #4234 (H,wt=21): 4499 a(x,x \ 1,L(x \ y,z,u)) = a(x,x \ 1,L(y,z,u)). [hyper(306,a,4475,a,b,4495,a),flip(a)]. given #4235 (H,wt=21): 4500 a(x,x \ 1,L(x * y,z,u)) = a(x,x \ 1,L(y,z,u)). [para(9(a,1),4499(a,1,3,1)),flip(a)]. given #4236 (H,wt=29): 4487 L(x,y,z) != a(u,u \ 1,L((u \ 1) \ w,y,z)) | (u * w) \ ((u \ 1) \ w) = x. [para(4476(a,1),51(a,1)),flip(a)]. given #4237 (H,wt=30): 4501 a(T(x,y),T(x,y) \ 1,(x * y) \ (y * z)) = a(T(x,y),T(x,y) \ 1,L(z,x,y)). [para(3129(a,1),4499(a,1,3))]. given #4238 (H,wt=26): 4502 a(T(x,y),T(x,y) \ 1,L(z,x,y)) = a(x,x \ 1,(x * y) \ (y * z)). [hyper(3324,a,4501,a),flip(a)]. given #4239 (H,wt=25): 4503 a(x,x \ 1,(x * y) \ (y * z)) != u | a(x,x \ 1,L(z,x,y)) = u. [para(4502(a,1),3324(a,1))]. given #4240 (H,wt=34): 4466 L(x \ 1,x,y) * R(L(x,x \ 1,y \ 1),z,u) = L((x \ 1) * R((x \ 1) \ 1,z,u),x,y). [para(1295(a,2),4463(a,1,2,1))]. given #4241 (H,wt=34): 4504 L(x \ 1,x,y) * L(R(x,z,u),x \ 1,y \ 1) = L((x \ 1) * R((x \ 1) \ 1,z,u),x,y). [para(29(a,1),4466(a,1,2))]. given #4242 (H,wt=35): 4494 a(x \ 1,(x \ 1) \ 1,L((x \ 1) \ y,z,u)) = a(x \ 1,(x \ 1) \ 1,x \ L(x * y,z,u)). [para(1576(a,1),4490(a,1,3))]. given #4243 (H,wt=31): 4506 a(x \ 1,(x \ 1) \ 1,L((x \ 1) \ y,z,u)) = a(x \ 1,x,x \ L(x * y,z,u)). [hyper(306,a,3680,a(flip),b,4494,a),flip(a)]. given #4244 (H,wt=31): 4507 a(x \ 1,(x \ 1) \ 1,L((x \ 1) \ y,z,u)) = a(x,x \ 1,x \ L(x * y,z,u)). [hyper(306,a,2336,a(flip),b,4506,a),flip(a)]. given #4245 (H,wt=29): 4508 a(x \ 1,(x \ 1) \ 1,L((x \ 1) \ y,z,u)) = a(x,x \ 1,L(x * y,z,u)). [hyper(306,a,4490,a(flip),b,4507,a),flip(a)]. given #4246 (H,wt=25): 4509 a(x \ 1,x,L((x \ 1) \ y,z,u)) = a(x,x \ 1,L(x * y,z,u)). [hyper(64,a,3680,a(flip),b,4508,a)]. given #4247 (H,wt=25): 4510 a(x,x \ 1,L((x \ 1) \ y,z,u)) = a(x,x \ 1,L(x * y,z,u)). [hyper(2360,a,4509,a)]. given #4248 (H,wt=23): 4511 a(x,x \ 1,L((x \ 1) \ y,z,u)) = a(x,x \ 1,L(y,z,u)). [hyper(306,a,4500,a(flip),b,4510,a),flip(a)]. given #4249 (H,wt=23): 4512 a(x,x \ 1,L((x \ 1) \ y,z,u)) = L(a(x,x \ 1,y),z,u). [hyper(306,a,4475,a(flip),b,4511,a),flip(a)]. given #4250 (H,wt=16): 4513 (x * y) \ ((x \ 1) \ y) = a(x,x \ 1,y). [hyper(4487,a,4512,a(flip))]. given #4251 (H,wt=37): 4505 L((x \ 1) * R((x \ 1) \ 1,y,z),x,u) != L(x \ 1,x,u) * w | L(R(x,y,z),x \ 1,u \ 1) = w. [para(4504(a,1),44(a,1))]. given #4252 (H,wt=38): 4465 L(x \ 1,x,y) * R(L(x \ 1,x,x \ y) \ 1,z,u) = L((x \ 1) * R((x \ 1) \ 1,z,u),x,x \ y). [para(1067(a,1),4463(a,1,1))]. given #4253 (H,wt=36): 4514 L(x \ 1,x,y) * R(L(x \ 1,x,y) \ 1,z,u) = L((x \ 1) * R((x \ 1) \ 1,z,u),x,x \ y). [para(1067(a,1),4465(a,1,2,1,1))]. given #4254 (H,wt=27): 4515 L((x \ 1) * R((x \ 1) \ 1,y,z),x,x \ u) = R(x \ R(x,y,z),x,u). [hyper(64,a,4470,a(flip),b,4514,a),flip(a)]. given #4255 (H,wt=27): 4516 L((x \ 1) * R((x \ 1) \ 1,y,z),x,x \ u) = L(x \ R(x,y,z),x,u). [hyper(306,a,4098,a,b,4515,a),flip(a)]. given #4256 (H,wt=21): 4517 L(x \ R(x,y,z),x,x \ u) = L(x \ R(x,y,z),x,u). [para(1440(a,1),4516(a,1,1))]. given #4257 (H,wt=22): 4519 L(x \ R(x,y,z),x,u) * u = T((u / x) * R(x,y,z),u). [para(4517(a,1),3145(a,1,1))]. given #4258 (H,wt=24): 4518 x / L(y \ R(y,z,u),y,x) = (x / (y * (y \ R(y,z,u)))) * y. [para(4517(a,1),3144(a,1,2))]. given #4259 (H,wt=20): 4521 x / L(y \ R(y,z,u),y,x) = (x / R(y,z,u)) * y. [para(10(a,1),4518(a,2,1,2))]. given #4260 (H,wt=24): 4520 L(x \ R(x,y,z),x,u) * u = ((x \ R(x,y,z)) * x) * (x \ u). [para(4517(a,1),4095(a,1,1))]. given #4261 (H,wt=20): 4523 L(x \ R(x,y,z),x,u) * u = R(x,y,z) * (x \ u). [para(422(a,1),4520(a,2,1))]. given #4262 (H,wt=19): 4524 T((x / y) * R(y,z,u),x) = R(y,z,u) * (y \ x). [hyper(64,a,4519,a(flip),b,4523,a)]. given #4263 (H,wt=21): 4527 (R(x,y,z) * (x \ u)) / u = u \ ((u / x) * R(x,y,z)). [hyper(119,a,4524,a(flip),b,793,a(flip))]. given #4264 (H,wt=21): 4528 x / (y * (R(y,z,u) \ x)) = x \ ((x / y) * R(y,z,u)). [hyper(731,a,4527,a)]. given #4265 (H,wt=22): 4525 L(T(x \ R(x,y,z),u),x,u) = u \ (R(x,y,z) * (x \ u)). [hyper(118,a,4523,a(flip),b,228,a),flip(a)]. given #4266 (H,wt=22): 4530 R(T(x \ R(x,y,z),u),x,u) = u \ (R(x,y,z) * (x \ u)). [hyper(64,a,4097,a,b,4525,a)]. given #4267 (H,wt=21): 4531 (x * y) \ (R(x,z,u) * y) = y \ (R(x,z,u) * (x \ y)). [hyper(64,a,4424,a(flip),b,4530,a)]. given #4268 (H,wt=21): 4532 x / (y * (R(y,x,z) \ x)) = x \ (R(y,x,z) * (y \ x)). [hyper(64,a,4387,a,b,4531,a)]. given #4269 (H,wt=17): 4537 R(x,y,z) * (x \ y) = (y / x) * R(x,y,z). [hyper(39,a,4528,a(flip),b,4532,a(flip)),flip(a)]. given #4270 (H,wt=21): 4536 x \ (R(y,x,z) * (y \ x)) = x \ ((x / y) * R(y,x,z)). [hyper(64,a,4528,a(flip),b,4532,a),flip(a)]. given #4271 (H,wt=21): 4539 ((x / y) * R(y,x,z)) / x = x \ ((x / y) * R(y,x,z)). [para(4537(a,1),4527(a,1,1))]. given #4272 (H,wt=21): 4540 x / ((x / R(y,x,z)) * y) = x \ ((x / y) * R(y,x,z)). [hyper(734,a,4539,a)]. given #4273 (H,wt=24): 4529 x \ y != x / (z * (R(z,u,w) \ x)) | (x / z) * R(z,u,w) = y. [para(4528(a,2),48(a,1)),flip(a)]. given #4274 (H,wt=24): 4533 a((x * y) \ (R(z,x,y) * x),x,y) = x \ (R(z,x,y) * (z \ x)). [hyper(64,a,4294,a,b,4531,a)]. given #4275 (H,wt=24): 4541 (x / y) * R(y,x,z) = x * a((x * z) \ (R(y,x,z) * x),x,z). [hyper(121,a,4533,a,b,4536,a(flip)),flip(a)]. given #4276 (H,wt=18): 4542 (x / y) * R(y,x,z) = x * a(R(y,x,z),x,z). [para(4282(a,1),4541(a,2,2))]. given #4277 (H,wt=21): 4543 x \ ((x / y) * R(y,x,z)) != u | a(R(y,x,z),x,z) = u. [para(4542(a,2),286(a,1,2)),flip(b)]. given #4278 (H,wt=26): 4534 (x * y) \ (R(z,x,y) * (z \ (x * y))) = (z * (x * y)) \ ((z * x) * y). [para(102(a,1),4531(a,1,2)),flip(a)]. given #4279 (H,wt=19): 4544 a(x,y,z) = (y * z) \ (R(x,y,z) * (x \ (y * z))). [hyper(306,a,14,a,b,4534,a)]. given #4280 (H,wt=16): 4545 a(x,y,z) = (y * z) \ (x \ ((x * y) * z)). [para(1452(a,1),4544(a,2,2))]. given #4281 (H,wt=16): 4550 x * ((y * z) * a(x,y,z)) = (x * y) * z. [para(4545(a,2),72(a,1,2,2))]. given #4282 (H,wt=18): 4549 (x * y) \ ((z / x) \ (z * y)) = a(z / x,x,y). [para(12(a,1),4545(a,2,2,2,1)),flip(a)]. given #4283 (H,wt=18): 4552 x * (y * a(x,z,z \ y)) = (x * z) * (z \ y). [para(10(a,1),4550(a,1,2,1))]. given #4284 (H,wt=15): 4553 x * a(x,y,y \ x) = L(x,y,y \ x). [hyper(35,a,3154,a,b,4552,a),flip(a)]. given #4285 (H,wt=15): 4555 x \ L(x,y,y \ x) = a(x,y,y \ x). [hyper(125,a,4553,a)]. given #4286 (H,wt=15): 4556 x \ L(x,y,y \ x) = a(x,y,y \ 1). [hyper(306,a,4290,a,b,4555,a),flip(a)]. given #4287 (H,wt=13): 4557 L(x,y,y \ 1) = L(x,y,y \ x). [hyper(39,a,2137,a,b,4556,a)]. given #4288 (H,wt=15): 4558 L(x,y,y \ x) * a(y,y \ 1,x) = x. [para(4557(a,1),2328(a,1,1))]. given #4289 (H,wt=14): 4559 x * (y \ (y / x)) = a(x,x \ 1,y). [hyper(3152,a,4558,a)]. given #4290 (H,wt=15): 4560 x * L(x \ 1,x,y) = a(x,x \ 1,y). [hyper(64,a,498,a,b,4559,a)]. given #4291 (H,wt=18): 4561 (x \ (x / (y \ 1))) \ y = a(y,y \ 1,x \ 1). [hyper(64,a,2409,a(flip),b,4559,a)]. given #4292 (H,wt=16): 4563 (x \ (x / (y \ 1))) \ y = a(x,y,y \ 1). [hyper(306,a,2279,a(flip),b,4561,a),flip(a)]. given #4293 (H,wt=15): 4564 L(x,x \ 1,y) \ x = a(y,x,x \ 1). [hyper(64,a,697,a,b,4563,a)]. given #4294 (H,wt=15): 4565 a(x,y,y \ 1) \ y = L(y,y \ 1,x). [para(4564(a,1),837(a,1,1))]. given #4295 (H,wt=19): 4562 a(x \ 1,(x \ 1) \ 1,y) = x \ L(x,x \ 1,y). [hyper(64,a,1577,a(flip),b,4560,a),flip(a)]. given #4296 (H,wt=15): 4567 x \ L(x,x \ 1,y) = a(x \ 1,x,y). [hyper(64,a,3680,a(flip),b,4562,a),flip(a)]. given #4297 (H,wt=15): 4568 x \ L(x,x \ 1,y) = a(x,x \ 1,y). [hyper(306,a,2336,a(flip),b,4567,a),flip(a)]. given #4298 (H,wt=17): 4571 (x \ 1) \ a(x,x \ 1,y) = L(x,x \ 1,y). [hyper(118,a,4568,a(flip),b,849,a)]. given #4299 (H,wt=18): 4569 x \ L(x,x \ 1,y) != z | a(x,x \ 1,y) = z. [para(4567(a,2),2360(a,1))]. given #4300 (H,wt=19): 4572 (x \ 1) \ a(y,x,x \ 1) = L(x,x \ 1,y \ 1). [para(2279(a,1),4571(a,1,2))]. given #4301 (H,wt=20): 4548 (x * ((y * x) \ z)) \ (y \ z) = a(y,x,(y * x) \ z). [para(10(a,1),4545(a,2,2,2)),flip(a)]. given #4302 (H,wt=20): 4551 (x * y) \ (z \ ((z * x) * y)) = a(T(z,x \ 1),x,y). [para(3191(a,1),4545(a,2,2)),flip(a)]. given #4303 (H,wt=13): 4573 a(T(x,y \ 1),y,z) = a(x,y,z). [hyper(64,a,4545,a,b,4551,a),flip(a)]. given #4304 (H,wt=11): 4574 a(x,T(y,x),z) = a(x,y,z). [hyper(64,a,3370,a(flip),b,4573,a)]. given #4305 (H,wt=11): 4576 a(T(x,y),y,z) = a(x,y,z). [para(2053(a,1),4573(a,1,1)),flip(a)]. given #4306 (H,wt=13): 4577 a(x / y,y,z) = a(y \ x,y,z). [para(2066(a,1),4573(a,1,1))]. given #4307 (H,wt=13): 4579 a(x,y,z * K(x,y)) = a(x,y,z). [hyper(64,a,3423,a(flip),b,4574,a),flip(a)]. given #4308 (H,wt=15): 4580 a(T(x,y),T(z,x),u) = a(T(x,y),z,u). [para(1484(a,1),4574(a,1,2))]. given #4309 (H,wt=14): 4585 a(T(x,y),y,z) != u | a(x,y,z) = u. [para(4580(a,1),3266(a,1))]. given #4310 (H,wt=15): 4582 a(T(x,y),T(y,z),u) = a(x,T(y,z),u). [para(1484(a,1),4576(a,1,1))]. given #4311 (H,wt=14): 4587 a(x,T(y,x),z) != u | a(x,y,z) = u. [para(4582(a,1),3266(a,1))]. given #4312 (H,wt=15): 4583 a((x * y) \ z,x,y) = a(x \ z,x,y). [hyper(64,a,4279,a,b,4577,a)]. given #4313 (H,wt=16): 4589 a(x * (y / x),x,z) != u | a(y,x,z) = u. [para(3369(a,2),4587(a,1))]. given #4314 (H,wt=15): 4592 a(x * (y / x),x,z) = a(y,x,T(z,x)). [hyper(4589,a,4299,a),flip(a)]. given #4315 (H,wt=14): 4594 a(x,y,T(z,y)) != u | a(x,y,z) = u. [para(4592(a,1),4589(a,1))]. given #4316 (H,wt=16): 4590 a(T(x,y \ 1),y,z) != u | a(x,y,z) = u. [para(3370(a,2),4587(a,1))]. given #4317 (H,wt=16): 4595 a(x,y,y \ (z * y)) != u | a(x,y,z) = u. [para(22(a,1),4594(a,1,3))]. given #4318 (H,wt=16): 4597 a(x,y,(z \ y) \ y) != u | a(x,y,z) = u. [para(403(a,1),4594(a,1,3))]. given #4319 (H,wt=16): 4600 a(x / y,y,z) != u | a(y \ x,y,z) = u. [para(2066(a,1),4590(a,1,1))]. given #4320 (H,wt=18): 4581 a(x,y,T(x,y) * z) != u | a(x,y,x * z) = u. [para(4574(a,1),3606(a,1))]. given #4321 (H,wt=18): 4584 (x / y) \ (x * z) = (y * z) * a(y \ x,y,z). [hyper(121,a,4577,a(flip),b,4549,a),flip(a)]. given #4322 (H,wt=18): 4586 a(T(x,y),T(y,z),u) != w | a(x,T(y,z),u) = w. [para(4580(a,1),3267(a,1))]. given #4323 (H,wt=18): 4588 a(x,K(y,T(z,u)),w) != v5 | a(x,K(y,z),w) = v5. [para(1944(a,1),4587(a,1,2))]. given #4324 (H,wt=18): 4593 a(x / y,y,y \ 1) != z | a(x,y,y \ 1) = z. [para(3730(a,1),4589(a,1))]. given #4325 (H,wt=18): 4599 a(x,T(y,z),T(u,y)) != w | a(x,T(y,z),u) = w. [para(1484(a,1),4594(a,1,3))]. given #4326 (H,wt=14): 4607 a(x,y,z) != u | a(x,T(y,z),z) = u. [para(3263(a,1),4599(a,1))]. given #4327 (H,wt=18): 4602 L(x,y,y \ 1) \ x != z | a(y \ 1,y,x) = z. [para(1106(a,2),4600(a,1))]. given #4328 (H,wt=16): 4608 a(x,x \ 1,y) != z | a(x \ 1,x,y) = z. [para(2327(a,1),4602(a,1))]. given #4329 (H,wt=18): 4603 a((x * y) \ z,x,y) != u | a(x \ z,x,y) = u. [para(4279(a,2),4600(a,1))]. given #4330 (H,wt=18): 4605 a(x \ y,x,x \ 1) != z | a(y,x,x \ 1) = z. [para(4577(a,1),4593(a,1))]. given #4331 (H,wt=19): 4575 a(R(T(x,y \ 1),z,u),y,w) = a(R(x,z,u),y,w). [para(27(a,2),4573(a,1,1))]. given #4332 (H,wt=19): 4601 (x * y) \ (z \ ((z * x) * y)) != u | a(z,x,y) = u. [para(4551(a,2),4590(a,1))]. given #4333 (H,wt=20): 4578 (x * y) \ ((x * (y * z)) / z) = a(z,y,T(x,z * y)). [hyper(64,a,4140,a(flip),b,4574,a)]. given #4334 (H,wt=16): 4610 a(x,y,z) = (z * y) \ ((z * (y * x)) / x). [hyper(306,a,4267,a(flip),b,4578,a)]. given #4335 (H,wt=16): 4611 a(x,y,z) = L(x \ L(x,y,z),x,z * y). [hyper(306,a,3621,a,b,4610,a),flip(a)]. given #4336 (H,wt=19): 4612 L(x,y,z * u) != a(y,u,z) | y \ L(y,u,z) = x. [para(4611(a,2),51(a,1)),flip(a)]. given #4337 (H,wt=20): 4596 a(x,y \ z,(y \ z) \ z) != u | a(x,y \ z,y) = u. [para(107(a,1),4594(a,1,3))]. given #4338 (H,wt=18): 4613 x \ R(x,y \ 1,y) != z | a(x,y \ 1,y) = z. [para(1105(a,1),4596(a,1))]. given #4339 (H,wt=16): 4614 a(x,1 / y,y) != z | a(x,y \ 1,y) = z. [para(1109(a,1),4613(a,1))]. given #4340 (H,wt=20): 4609 a((x * y) \ ((x * z) * y),x,y) = a(R(z,x,y),x,y). [hyper(64,a,3998,a,b,4575,a)]. given #4341 (H,wt=18): 4615 a(x \ ((x * y) * z),x,z) = a(R(y,x,z),x,z). [hyper(4603,a,4609,a)]. given #4342 (H,wt=21): 4598 a(x,y,y \ (z \ y)) != u | a(x,y,L(z \ 1,z,y)) = u. [para(935(a,1),4594(a,1,3))]. given #4343 (H,wt=23): 4570 a(T(x,y),x \ 1,T(T(y,z),x)) = x \ L(x,x \ 1,T(y,z)). [hyper(306,a,3411,a,b,4568,a)]. given #4344 (H,wt=21): 4616 a(T(x,y),x \ 1,T(T(y,z),x)) = x \ L(x,x \ 1,y). [para(4372(a,1),4570(a,2,2))]. given #4345 (H,wt=19): 4617 a(T(x,y),x \ 1,T(T(y,z),x)) = a(x,x \ 1,y). [hyper(306,a,4568,a(flip),b,4616,a),flip(a)]. given #4346 (H,wt=15): 4619 a(x,x \ 1,T(y,z)) = a(x,x \ 1,y). [hyper(3413,a,4617,a)]. given #4347 (H,wt=23): 4591 a((x * y) \ (z \ (x * y)),x,y) = a(x \ ((x * y) / z),x,y). [hyper(64,a,3988,a(flip),b,4583,a)]. given #4348 (H,wt=23): 4620 a(x,x \ 1,R(y / z,u,w)) = a(x,x \ 1,R(z \ y,u,w)). [para(238(a,1),4619(a,1,3)),flip(a)]. given #4349 (H,wt=24): 4606 a(x,T(y,z),L(T(u,y),w,v5)) != v6 | a(x,T(y,z),L(u,w,v5)) = v6. [para(25(a,2),4599(a,1,3))]. given #4350 (H,wt=24): 4621 a(x \ ((x * y) / z),x,y) != u | a(x \ (z \ (x * y)),x,y) = u. [para(4591(a,1),4603(a,1))]. given #4351 (H,wt=26): 4547 (x * y) \ (T(z,y \ z) \ ((T(z,y \ z) * x) * y)) = a(z,x,T(y,z)). [hyper(64,a,3419,a(flip),b,4545,a),flip(a)]. given #4352 (H,wt=26): 4622 (x * y) \ (T(z,y \ z) \ ((z * (x * K(y,z))) * y)) = a(z,x,T(y,z)). [para(2881(a,1),4547(a,1,2,2,1))]. given #4353 (H,wt=24): 4623 (x * y) \ (T(z,y \ z) \ ((z * x) * T(y,z))) = a(z,x,T(y,z)). [para(2863(a,1),4622(a,1,2,2))]. given #4354 (H,wt=24): 4624 (x * y) \ (K(z,y) * (z \ ((z * x) * T(y,z)))) = a(z,x,T(y,z)). [para(2975(a,1),4623(a,1,2))]. given #4355 (H,wt=18): 4625 (x * y) \ (z \ ((z * x) * y)) = a(z,x,T(y,z)). [para(2836(a,1),4624(a,1,2))]. given #4356 (H,wt=11): 4626 a(x,y,T(z,x)) = a(x,y,z). [hyper(4601,a,4625,a),flip(a)]. given #4357 (H,wt=13): 4629 a(x,y,x / z) = a(x,y,z \ x). [para(400(a,1),4626(a,1,3)),flip(a)]. given #4358 (H,wt=13): 4630 a(x,y,z * x) = a(x,y,x * z). [para(792(a,1),4626(a,1,3))]. given #4359 (H,wt=15): 4631 a(x,x \ 1,y * x) = a(x,x \ 1,y). [hyper(306,a,4493,a(flip),b,4630,a),flip(a)]. given #4360 (H,wt=17): 4627 a(x * y,z,y \ 1) = a(y * x,z,y \ 1). [hyper(64,a,3416,a(flip),b,4626,a)]. given #4361 (H,wt=17): 4628 a(x,y,L(T(z,x),u,w)) = a(x,y,L(z,u,w)). [para(25(a,2),4626(a,1,3))]. given #4362 (H,wt=19): 4633 a(x,y,L(x / z,u,w)) = a(x,y,L(z \ x,u,w)). [para(400(a,1),4628(a,1,3,1)),flip(a)]. given #4363 (H,wt=21): 4632 a(x,x \ 1,L(y * x,z,u)) = L(a(x,x \ 1,y),z,u). [para(4631(a,1),4475(a,2,1))]. given #4364 (H,wt=21): 4634 a(x,x \ 1,L(y * x,z,u)) = a(x,x \ 1,L(y,z,u)). [hyper(306,a,4475,a,b,4632,a),flip(a)]. given #4365 (H,wt=20): 4635 a(x,x \ 1,L(y,z,y * x)) = a(x,x \ 1,y * x). [para(757(a,1),4634(a,1,3)),flip(a)]. given #4366 (H,wt=18): 4636 a(x,x \ 1,L(y,z,y * x)) = a(x,x \ 1,y). [hyper(306,a,4631,a(flip),b,4635,a),flip(a)]. given #4367 (H,wt=24): 4637 a(T(x,y),T(x,y) \ 1,z) = a(x,x \ 1,L(z,u,z * T(x,y))). [hyper(3324,a,4636,a),flip(a)]. given #4368 (H,wt=23): 4638 a(x,x \ 1,L(y,z,y * T(x,u))) != w | a(x,x \ 1,y) = w. [para(4637(a,1),3324(a,1))]. given #4369 (H,wt=27): 4526 L(x \ R(x,y,z),x,u) * u != w * v5 | w \ (R(x,y,z) * (x \ u)) = v5. [para(4523(a,2),633(a,1))]. given #4370 (H,wt=29): 4566 R(L(x,x \ 1,y),a(y,x,x \ 1),z) \ (x * z) = (L(x,x \ 1,y) \ x) * z. [para(4564(a,1),618(a,1,1,2))]. given #4371 (H,wt=29): 4639 L(R(x,a(y,x,x \ 1),z),x \ 1,y) \ (x * z) = (L(x,x \ 1,y) \ x) * z. [para(29(a,1),4566(a,1,1))]. given #4372 (H,wt=27): 4640 L(R(x,a(y,x,x \ 1),z),x \ 1,y) \ (x * z) = a(y,x,x \ 1) * z. [para(4564(a,1),4639(a,2,1))]. given #4373 (H,wt=29): 4641 L(R(x,a(y,x,x \ 1),x \ z),x \ 1,y) \ z = a(y,x,x \ 1) * (x \ z). [para(10(a,1),4640(a,1,2))]. given #4374 (H,wt=31): 4604 ((L(x,y,z) \ x) / x) \ ((L(x,y,z) \ x) * u) = (x * u) * a(L(x,y,z) \ 1,x,u). [para(1198(a,1),4584(a,2,2,1))]. given #4375 (H,wt=31): 4642 (x \ (x / L(x,y,z))) \ ((L(x,y,z) \ x) * u) = (x * u) * a(L(x,y,z) \ 1,x,u). [para(834(a,1),4604(a,1,1))]. given #4376 (H,wt=31): 4643 (x \ (L(x,y,z) \ x)) \ ((L(x,y,z) \ x) * u) = (x * u) * a(L(x,y,z) \ 1,x,u). [para(835(a,1),4642(a,1,1,2))]. given #4377 (H,wt=29): 4644 (L(x,y,z) \ 1) \ ((L(x,y,z) \ x) * u) = (x * u) * a(L(x,y,z) \ 1,x,u). [para(1198(a,1),4643(a,1,1))]. given #4378 (H,wt=29): 4645 (L(x,y,z) \ 1) \ ((L(x,y,z) \ x) * u) = (x * u) * a(x,L(x,y,z) \ 1,u). [para(3694(a,1),4644(a,2,2))]. given #4379 (H,wt=33): 4535 x \ (R(T(y,x \ 1),z,u) * (T(y,x \ 1) \ x)) = (x * y) \ (R(T(y,x \ 1),z,u) * x). [para(2054(a,1),4531(a,1,1)),flip(a)]. given #4380 (H,wt=29): 4646 x \ (R(T(y,x \ 1),z,u) * (T(y,x \ 1) \ x)) = (x * y) \ (x * R(y,z,u)). [para(2069(a,1),4535(a,2,2))]. given #4381 (H,wt=21): 4647 (x * y) \ (x * R(y,z,u)) = x \ ((x / y) * R(y,z,u)). [para(3667(a,1),4646(a,1,2)),flip(a)]. given #4382 (H,wt=33): 4546 (x * ((y * x) \ (z * x))) \ (z \ ((z * x) * ((y * x) \ (z * x)))) = a(z,x,R(z / y,y,x)). [hyper(4276,a,4545,a),flip(a)]. given #4383 (H,wt=23): 4650 a(x,y,R(x / z,z,y)) != u | a(x,y,(z * y) \ (x * y)) = u. [para(4546(a,1),4601(a,1))]. given #4384 (H,wt=29): 4649 (x * ((y * x) \ (z * x))) \ (z \ (z * (y \ (z * x)))) = a(z,x,R(z / y,y,x)). [para(114(a,1),4546(a,1,2,2))]. given #4385 (H,wt=25): 4651 (x * ((y * x) \ (z * x))) \ (y \ (z * x)) = a(z,x,R(z / y,y,x)). [para(9(a,1),4649(a,1,2))]. given #4386 (H,wt=34): 4554 (x \ 1) * (y * a(x \ 1,R(x,z,u),R(x,z,u) \ y)) = (x \ R(x,z,u)) * (R(x,z,u) \ y). [para(846(a,1),4552(a,2,1))]. given #4387 (H,wt=36): 4648 (x * L(y \ 1,y,x)) \ (x * R(L(y \ 1,y,x),z,u)) = x \ ((x * y) * R(L(y \ 1,y,x),z,u)). [para(465(a,1),4647(a,2,2,1))]. given #4388 (H,wt=31): 4653 (x / y) \ (x * R(L(y \ 1,y,x),z,u)) = x \ ((x * y) * R(L(y \ 1,y,x),z,u)). [para(471(a,1),4648(a,1,1))]. given #4389 (H,wt=31): 4654 (x / y) \ (x * L(R(y \ 1,z,u),y,x)) = x \ ((x * y) * R(L(y \ 1,y,x),z,u)). [para(29(a,1),4653(a,1,2,2))]. given #4390 (H,wt=31): 4655 (x / y) \ (x * L(R(y \ 1,z,u),y,x)) = x \ ((x * y) * L(R(y \ 1,z,u),y,x)). [para(29(a,1),4654(a,2,2,2))]. given #4391 (H,wt=24): 4656 (x / y) \ (x * L(R(y \ 1,z,u),y,x)) = y * R(y \ 1,z,u). [hyper(306,a,292,a(flip),b,4655,a),flip(a)]. given #4392 (H,wt=23): 4658 (x / y) \ (x * R(x \ (x / y),z,u)) = y * R(y \ 1,z,u). [para(499(a,2),4656(a,1,2,2))]. given #4393 (H,wt=23): 4659 (x / y) * (y * R(y \ 1,z,u)) = x * R(x \ (x / y),z,u). [hyper(135,a,4658,a)]. given #4394 (H,wt=26): 4660 (x / y) \ (x * R(x \ (x / y),z,u)) != w | y * R(y \ 1,z,u) = w. [para(4659(a,1),286(a,1,2)),flip(b)]. given #4395 (H,wt=24): 4661 a((x * y) \ ((x * y) / z),x,y) != u | z * R(z \ 1,x,y) = u. [para(3979(a,1),4660(a,1))]. given #4396 (H,wt=21): 4662 a((x * y) \ (z \ (x * y)),x,y) = z * R(z \ 1,x,y). [hyper(4661,a,3988,a),flip(a)]. given #4397 (H,wt=21): 4664 a((x * y) \ (z \ (x * y)),x,y) = R(z \ 1,x,y) * z. [hyper(306,a,751,a,b,4662,a),flip(a)]. given #4398 (H,wt=24): 4663 a((x * y) \ (z \ (x * y)),x,y) != u | z * R(z \ 1,x,y) = u. [para(3988(a,1),4661(a,1))]. given #4399 (H,wt=22): 4667 a(x \ (y \ (x * z)),x,z) != u | y * R(y \ 1,x,z) = u. [para(4583(a,1),4663(a,1))]. given #4400 (H,wt=25): 4665 a((x * y) \ ((z / u) \ (x * y)),x,y) = z / (R(u / z,x,y) \ u). [hyper(306,a,2644,a(flip),b,4662,a),flip(a)]. given #4401 (H,wt=31): 4668 a((x * y) \ (((z / u) / z) \ (x * y)),x,y) = (z / u) / (R(z * (u / z),x,y) \ z). [para(890(a,1),4665(a,2,2,1,1))]. given #4402 (H,wt=31): 4669 a((x * y) \ ((z / (z * u)) \ (x * y)),x,y) = (z / u) / (R(z * (u / z),x,y) \ z). [para(394(a,1),4668(a,1,1,2,1))]. given #4403 (H,wt=27): 4670 a((x * y) \ ((z / (z * u)) \ (x * y)),x,y) = z / ((z / R(u,x,y)) * u). [hyper(306,a,3692,a(flip),b,4669,a),flip(a)]. given #4404 (H,wt=25): 4671 a(x \ ((y / (y * z)) \ (x * u)),x,u) = y / ((y / R(z,x,u)) * z). [hyper(4603,a,4670,a)]. given #4405 (H,wt=34): 4666 T(a((x * y) \ (L(z,u,w) \ (x * y)),x,y),z) = L(z,u,w) * T(R(L(z,u,w) \ 1,x,y),z). [para(4662(a,2),1607(a,1,1))]. given #4406 (H,wt=34): 4672 T(a((x * y) \ (L(z,u,w) \ (x * y)),x,y),z) = L(z,u,w) * R(T(L(z,u,w) \ 1,z),x,y). [para(27(a,2),4666(a,2,2))]. given #4407 (H,wt=32): 4673 T(a((x * y) \ (L(z,u,w) \ (x * y)),x,y),z) = L(z,u,w) * R(L(z,u,w) \ 1,x,y). [para(1203(a,1),4672(a,2,2,1))]. given #4408 (H,wt=29): 4674 T(a((x * y) \ (L(z,u,w) \ (x * y)),x,y),z) = L(z * R(z \ 1,x,y),u,w). [hyper(306,a,4463,a(flip),b,4673,a),flip(a)]. given #4409 (H,wt=40): 2250 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(701(a,1),2249(a,2,2))]. given #4410 (H,wt=36): 4676 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(78(a,1),2250(a,1,1,2))]. given #4411 (H,wt=36): 4677 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(25(a,2),4676(a,1,1))]. given #4412 (H,wt=35): 4678 ((1 / x) * (y * x)) \ ((1 / x) \ T(L(y,x,x \ 1),(1 / x) \ 1)) = L(y,x,x \ 1) \ (x * y). [para(713(a,1),4677(a,1,1))]. given #4413 (H,wt=31): 4679 ((1 / x) * (y * x)) \ ((1 / x) \ T(L(y,x,x \ 1),x)) = L(y,x,x \ 1) \ (x * y). [para(78(a,1),4678(a,1,2,2,2))]. given #4414 (H,wt=31): 4680 ((1 / x) * (y * x)) \ ((1 / x) \ L(T(y,x),x,x \ 1)) = L(y,x,x \ 1) \ (x * y). [para(25(a,2),4679(a,1,2,2))]. given #4415 (H,wt=30): 4681 ((1 / x) * (y * x)) \ ((1 / x) \ ((1 / x) * (y * x))) = L(y,x,x \ 1) \ (x * y). [para(713(a,1),4680(a,1,2,2))]. given #4416 (H,wt=22): 4682 ((1 / x) * (y * x)) \ (y * x) = L(y,x,x \ 1) \ (x * y). [para(9(a,1),4681(a,1,2))]. given #4417 (H,wt=25): 4684 1 / R(T(x,y),x \ 1,y * x) = (L(y,x,x \ 1) \ (x * y)) \ 1. [para(4682(a,1),2449(a,1,1)),flip(a)]. given #4418 (H,wt=25): 4685 ((L(x,y,y \ 1) \ (y * x)) \ 1) \ 1 = R(T(y,x),y \ 1,x * y). [hyper(189,a,4684,a)]. given #4419 (H,wt=22): 4686 ((x \ 1) * (x * y)) \ (x * y) = R(T(x,y),x \ 1,y * x). [hyper(64,a,1409,a(flip),b,4685,a)]. given #4420 (H,wt=41): 3926 L(x * (y * K(z,u)),K(u,L(z,y,x)),K(w,v5)) \ ((x * y) * K(w,v5)) = ((x * (y * K(z,u))) \ (x * y)) * K(w,v5). [para(3922(a,1),1646(a,1,1,2))]. given #4421 (H,wt=41): 4146 T((T(T(x,y),z) / u) \ w,v5 * (T(T(T(x,u \ 1),y),z) \ u)) * T(u \ T(T(T(x,u \ 1),y),z),v5) = T(w,v5). [para(2057(a,1),4145(a,1,1,1,1))]. given #4422 (H,wt=37): 4687 T((T(T(x,y),z) / u) \ w,v5 * (u / T(T(x,y),z))) * T(u \ T(T(T(x,u \ 1),y),z),v5) = T(w,v5). [para(2092(a,1),4146(a,1,1,2,2))]. given #4423 (H,wt=37): 4688 T((T(T(x,y),z) / u) \ w,v5 * (T(T(x,y),z) \ u)) * T(u \ T(T(T(x,u \ 1),y),z),v5) = T(w,v5). [para(2731(a,1),4687(a,1,1))]. given #4424 (H,wt=35): 4689 T((T(T(x,y),z) / u) \ w,v5 * (T(x,y) \ u)) * T(u \ T(T(T(x,u \ 1),y),z),v5) = T(w,v5). [para(2953(a,1),4688(a,1,1))]. given #4425 (H,wt=33): 4690 T((T(T(x,y),z) / u) \ w,v5 * (x \ u)) * T(u \ T(T(T(x,u \ 1),y),z),v5) = T(w,v5). [para(2953(a,1),4689(a,1,1))]. given #4426 (H,wt=29): 4692 T((T(T(x,y),z) / u) \ w,v5 * (x \ u)) * T(T(T(x,y),z) / u,v5) = T(w,v5). [para(2057(a,1),4690(a,1,2,1))]. given #4427 (H,wt=42): 2490 (((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(20(a,2),2488(a,1,1)),flip(a)]. given #4428 (H,wt=37): 4694 (((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(20(a,2),2490(a,2,2,1,1))]. given #4429 (H,wt=33): 4695 (((x * y) * R((x * y) \ y,z,u)) * w) / (y * w) = R(x,y,w) * R(R(x,y,w) \ 1,z,u). [para(2514(a,1),4694(a,1,1))]. given #4430 (H,wt=31): 4696 (((x * R(x \ 1,y,z)) * u) * w) / (u * w) = R(x,u,w) * R(R(x,u,w) \ 1,y,z). [para(2530(a,1),4695(a,1,1,1))]. given #4431 (H,wt=26): 4697 R(x,y,z) * R(R(x,y,z) \ 1,u,w) = R(x * R(x \ 1,u,w),y,z). [hyper(621,a,4696,a),flip(a)]. given #4432 (H,wt=29): 4698 R(x,y,z) * R(R(x,y,z) \ 1,u,w) != v5 | R(x * R(x \ 1,u,w),y,z) = v5. [para(4696(a,1),621(a,1))]. given #4433 (H,wt=30): 4700 R(x,y,z) * L(R(x,y,z) \ 1,u,u \ 1) = R(x * R(x \ 1,u,u \ 1),y,z). [para(2134(a,1),4697(a,1,2))]. given #4434 (H,wt=29): 4703 R(x,y,z) * (u * ((R(x,y,z) * u) \ 1)) = R(x * R(x \ 1,u,u \ 1),y,z). [para(2333(a,1),4700(a,1,2))]. given #4435 (H,wt=23): 4704 R(x * R(x \ 1,y,y \ 1),z,u) = a(y,y \ 1,R(x,z,u)). [hyper(2362,a,4703,a),flip(a)]. given #4436 (H,wt=23): 4705 R(x * L(x \ 1,y,y \ 1),z,u) = a(y,y \ 1,R(x,z,u)). [para(2134(a,1),4704(a,1,1,2))]. given #4437 (H,wt=22): 4706 R(x * (y * ((x * y) \ 1)),z,u) = a(y,y \ 1,R(x,z,u)). [para(2333(a,1),4705(a,1,1,2))]. given #4438 (H,wt=19): 4707 a(x,x \ 1,R(y,z,u)) = R(a(x,x \ 1,y),z,u). [para(2337(a,1),4706(a,1,1)),flip(a)]. given #4439 (H,wt=21): 4708 a(x,x \ 1,R(y \ 1,z,u)) = R(a(y,x,x \ 1),z,u). [para(2279(a,1),4707(a,2,1))]. given #4440 (H,wt=31): 4701 R((x \ 1) * R((x \ 1) \ 1,y,z),u,x) = (x \ 1) * R(R(x \ 1,u,x) \ 1,y,z). [para(2345(a,1),4697(a,1,1)),flip(a)]. given #4441 (H,wt=28): 4709 R((x \ 1) * R((x \ 1) \ 1,y,z),u,x) = (x \ 1) * R((x \ 1) \ 1,y,z). [para(2345(a,1),4701(a,2,2,1,1))]. given #4442 (H,wt=22): 4710 R((x \ 1) * R((x \ 1) \ 1,y,z),u,x) = x \ R(x,y,z). [hyper(306,a,1440,a(flip),b,4709,a),flip(a)]. given #4443 (H,wt=16): 4712 R(x \ R(x,y,z),u,x) = x \ R(x,y,z). [para(1440(a,1),4710(a,1,1))]. given #4444 (H,wt=16): 4713 L(x \ R(x,y,z),u,x) = x \ R(x,y,z). [hyper(64,a,4098,a,b,4712,a)]. given #4445 (H,wt=21): 4714 (x \ R(x,y,z)) * (x * u) = x * ((x \ R(x,y,z)) * u). [hyper(120,a,4713,a(flip),b,4423,a)]. given #4446 (H,wt=31): 4715 ((x / R(y,z,u)) * y) * (y \ R(y,z,u)) = y * ((y \ R(y,z,u)) * (R(y,z,u) \ x)). [hyper(64,a,4135,a,b,4714,a)]. given #4447 (H,wt=31): 4716 (x * ((x \ R(x,y,z)) * u)) \ (((x \ R(x,y,z)) * x) * u) = a(x \ R(x,y,z),x,u). [para(4714(a,1),14(a,2,1)),flip(a)]. given #4448 (H,wt=27): 4717 (x * ((x \ R(x,y,z)) * u)) \ (R(x,y,z) * u) = a(x \ R(x,y,z),x,u). [para(422(a,1),4716(a,1,2,1))]. given #4449 (H,wt=22): 4718 a(x \ R(x,y,z),x,u) != w | a(x,x \ R(x,y,z),u) = w. [para(4717(a,1),1363(a,1))]. given #4450 (H,wt=34): 4719 x / ((x / R(y \ R(y,z,u),y,y \ x)) * (y \ R(y,z,u))) = a(y,y \ R(y,z,u),y \ x). [hyper(4718,a,4328,a(flip)),flip(a)]. given #4451 (H,wt=34): 4720 x / ((x / L(y \ R(y,z,u),y,y \ x)) * (y \ R(y,z,u))) = a(y,y \ R(y,z,u),y \ x). [para(4097(a,1),4719(a,1,2,1,2))]. given #4452 (H,wt=32): 4721 x / ((x / L(y \ R(y,z,u),y,x)) * (y \ R(y,z,u))) = a(y,y \ R(y,z,u),y \ x). [para(4517(a,1),4720(a,1,2,1,2))]. given #4453 (H,wt=29): 4722 x / (((x / R(y,z,u)) * y) * (y \ R(y,z,u))) = a(y,y \ R(y,z,u),y \ x). [para(4521(a,1),4721(a,1,2,1))]. given #4454 (H,wt=42): 2522 (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(18(a,2),2519(a,1,1)),flip(a)]. given #4455 (H,wt=37): 4723 (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(18(a,2),2522(a,2,2,1,1))]. given #4456 (H,wt=37): 4724 (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(1419(a,1),4723(a,1,2))]. given #4457 (H,wt=33): 4725 (x * y) \ (x * ((y * z) * L((y * z) \ y,u,w))) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). [para(9(a,1),4724(a,1,2,2,2,1,2))]. given #4458 (H,wt=31): 4726 (x * y) \ (x * (y * (z * L(z \ 1,u,w)))) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). [para(1277(a,1),4725(a,1,2,2))]. given #4459 (H,wt=26): 4727 L(x,y,z) * L(L(x,y,z) \ 1,u,w) = L(x * L(x \ 1,u,w),y,z). [hyper(597,a,4726,a),flip(a)]. given #4460 (H,wt=23): 4729 L(x * L(x \ 1,y,z),u,x) = x * L(L(x,u,x) \ 1,y,z). [para(757(a,1),4727(a,1,1)),flip(a)]. given #4461 (H,wt=20): 4730 L(x * L(x \ 1,y,z),u,x) = x * L(x \ 1,y,z). [para(757(a,1),4729(a,2,2,1,1))]. given #4462 (H,wt=25): 4731 (x * y) / (x * L(x \ 1,z,u)) = x * (y / (x * L(x \ 1,z,u))). [hyper(196,a,4730,a(flip),b,97,a(flip))]. given #4463 (H,wt=27): 4733 (x \ y) * T(x * L(x \ 1,z,u),y) = (x * L(x \ 1,z,u)) * (x \ y). [para(4730(a,1),3758(a,1,1)),flip(a)]. given #4464 (H,wt=28): 4734 x * ((L(x \ 1,x,y) * z) / (x * L(x \ 1,x,y))) = L(z,x,y \ (y / x)). [hyper(64,a,4197,a(flip),b,4731,a),flip(a)]. given #4465 (H,wt=26): 4737 x * ((L(x \ 1,x,y) * z) / a(x,x \ 1,y)) = L(z,x,y \ (y / x)). [para(4560(a,1),4734(a,1,2,2))]. given #4466 (H,wt=30): 4728 L(1 / x,y,z) * L(L(1 / x,y,z) \ 1,u,w) = L((1 / x) * L(x,u,w),y,z). [para(78(a,1),4727(a,2,1,2,1))]. given #4467 (H,wt=30): 4738 L(x \ 1,y,z) * L(L(1 / x,y,z) \ 1,u,w) = L((1 / x) * L(x,u,w),y,z). [para(325(a,1),4728(a,1,1,1))]. given #4468 (H,wt=30): 4739 L(x \ 1,y,z) * L(L(x \ 1,y,z) \ 1,u,w) = L((1 / x) * L(x,u,w),y,z). [para(325(a,1),4738(a,1,2,1,1,1))]. given #4469 (H,wt=30): 4740 L(x \ 1,y,z) * L(R(x,y \ 1,z \ 1),u,w) = L((1 / x) * L(x,u,w),y,z). [para(2574(a,2),4739(a,1,2,1))]. given #4470 (H,wt=28): 4741 L(x \ 1,y,z) * L(R(x,y \ 1,z \ 1),u,w) = L(x \ L(x,u,w),y,z). [para(1042(a,1),4740(a,2,1))]. given #4471 (H,wt=38): 4732 (x * (y * (x * L(x \ 1,z,u)))) / (y * (x * L(x \ 1,z,u))) = R(x,y,L(x * L(x \ 1,z,u),y,x)). [para(4730(a,1),594(a,1,2,2))]. given #4472 (H,wt=16): 4742 R(x,y,L(x * L(x \ 1,z,u),y,x)) = x. [hyper(260,a,4732,a),flip(a)]. given #4473 (H,wt=13): 4744 R(x,y,x * L(x \ 1,z,u)) = x. [para(4730(a,1),4742(a,1,3))]. given #4474 (H,wt=17): 4745 R(x,y,x * L(x \ 1,z,u)) = w \ (w * x). [hyper(306,a,9,a,b,4744,a),flip(a)]. given #4475 (H,wt=42): 2524 (((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(20(a,2),2523(a,1,1)),flip(a)]. given #4476 (H,wt=37): 4747 (((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(20(a,2),2524(a,2,2,1,1))]. given #4477 (H,wt=33): 4748 (((x * y) * L((x * y) \ y,z,u)) * w) / (y * w) = R(x,y,w) * L(R(x,y,w) \ 1,z,u). [para(2515(a,1),4747(a,1,1))]. given #4478 (H,wt=31): 4749 (((x * L(x \ 1,y,z)) * u) * w) / (u * w) = R(x,u,w) * L(R(x,u,w) \ 1,y,z). [para(2290(a,1),4748(a,1,1,1))]. given #4479 (H,wt=26): 4750 R(x,y,z) * L(R(x,y,z) \ 1,u,w) = R(x * L(x \ 1,u,w),y,z). [hyper(621,a,4749,a),flip(a)]. given #4480 (H,wt=42): 4675 T(a((x * y) \ (T(z,u) * (x * y)),x,y),T(z \ 1,u)) = L(T(z \ 1,u) * R(T(z \ 1,u) \ 1,x,y),z,x * y). [para(3603(a,1),4674(a,1,1,1,2))]. given #4481 (H,wt=34): 4752 L(T(x \ 1,y) * R(T(x \ 1,y) \ 1,z,u),x,z * u) = T(a(T(x,y),z,u),T(x \ 1,y)). [para(3986(a,1),4675(a,1,1)),flip(a)]. given #4482 (H,wt=32): 4753 L(T(x \ 1,y) * R(T(x \ 1,y) \ 1,z,u),x,z * u) = T(a(T(x,y),z,u),x \ 1). [hyper(306,a,1484,a(flip),b,4752,a),flip(a)]. given #4483 (H,wt=28): 4755 L(T(x \ 1,y) * R(T(x \ 1,y) \ 1,z,u),x,z * u) = a(T(x,y),z,u). [hyper(306,a,3392,a(flip),b,4753,a),flip(a)]. given #4484 (H,wt=28): 4756 L(T(x \ 1,y) * R(T((x \ 1) \ 1,y),z,u),x,z * u) = a(T(x,y),z,u). [para(2071(a,2),4755(a,1,1,2,1))]. given #4485 (H,wt=24): 4757 L(T(x \ 1,y) * R(T(x,y),z,u),x,z * u) = a(T(x,y),z,u). [para(326(a,1),4756(a,1,1,2,1,1))]. given #4486 (H,wt=20): 4758 L(T(x \ R(x,y,z),u),x,y * z) = a(T(x,u),y,z). [para(2678(a,1),4757(a,1,1))]. given #4487 (H,wt=17): 4759 T(a(x,y,y \ (y * z)),u) = a(T(x,u),y,z). [hyper(64,a,4079,a,b,4758,a)]. given #4488 (H,wt=13): 4760 a(T(x,y),z,u) = T(a(x,z,u),y). [para(9(a,1),4759(a,1,1,3)),flip(a)]. given #4489 (H,wt=24): 4761 (x * y) \ ((x * a(x,z,u)) * y) = R(a(T(x,x * y),z,u),x,y). [para(4760(a,2),3395(a,2,1))]. given #4490 (H,wt=22): 4762 (x * y) \ ((x * a(x,z,u)) * y) = R(a(T(x,y),z,u),x,y). [para(414(a,1),4761(a,2,1,1))]. given #4491 (H,wt=22): 4763 (x * y) * R(a(T(x,y),z,u),x,y) = (x * a(x,z,u)) * y. [hyper(135,a,4762,a)]. given #4492 (H,wt=22): 4764 (x * y) * R(T(a(x,z,u),y),x,y) = (x * a(x,z,u)) * y. [para(4760(a,1),4763(a,1,2,1))]. given #4493 (H,wt=22): 4765 (x * y) * R(T(a(x,z,u),y),x,y) = (a(x,z,u) * x) * y. [para(3394(a,2),4764(a,2,1))]. given #4494 (H,wt=21): 4766 R(T(a(x,y,z),x * u),x,u) = R(T(a(x,y,z),u),x,u). [hyper(1308,a,4765,a)]. given #4495 (H,wt=25): 4767 x * (y * R(T(a(x,z,u),y),x,y)) = (x * L(a(x,z,u),y,x)) * y. [para(4766(a,1),3427(a,1,2,2))]. given #4496 (H,wt=23): 4768 (x * L(a(x,y,z),u,x)) * u = x * (R(a(x,y,z),x,u) * u). [para(229(a,1),4767(a,1,2)),flip(a)]. given #4497 (H,wt=43): 2480 R(x,y,z) * ((x * u) * L((x * u) \ (x * (R(x,y,z) \ u)),w,v5)) = (R(x,y,z) * L(R(x,y,z) \ 1,w,v5)) * (x * u). [para(1447(a,1),2478(a,1,2,2,1,2))]. given #4498 (H,wt=43): 3761 (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(3304(a,1),3760(a,1,1,1))]. given #4499 (H,wt=36): 4770 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(3304(a,1),3761(a,1,1,2,1,1)),flip(a)]. given #4500 (H,wt=32): 4771 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(9(a,1),4770(a,2,1,2,1))]. given #4501 (H,wt=25): 4773 (x * R(K(y,z),u,w)) * K(z,v5) = x * (R(K(y,z),u,w) * K(z,v5)). [para(3304(a,1),4771(a,1,1)),flip(a)]. given #4502 (H,wt=25): 4774 (x * R(K(y,z),u,w)) * K(z,v5) = x * (K(z,v5) * R(K(y,z),u,w)). [hyper(306,a,360,a,b,4773,a),flip(a)]. given #4503 (H,wt=25): 4775 x / (K(y,z) * R(K(z,u),w,v5)) = x * (K(z,y) * R(K(u,z),w,v5)). [hyper(64,a,3654,a,b,4774,a)]. given #4504 (H,wt=25): 4776 (x * (K(y,z) * R(K(z,u),w,v5))) * (K(z,y) * R(K(u,z),w,v5)) = x. [hyper(260,a,4775,a),flip(a)]. given #4505 (H,wt=21): 4777 (x * a(K(y,z),u,w)) * (K(y,z) * R(K(z,y),u,w)) = x. [para(3976(a,1),4776(a,1,1,2))]. given #4506 (H,wt=17): 4778 (x * a(K(y,z),u,w)) * a(K(z,y),u,w) = x. [para(3976(a,1),4777(a,1,2))]. given #4507 (H,wt=25): 4779 (T(x,x \ y) * a(K(z,u),w,v5)) \ ((x \ y) \ y) = a(K(u,z),w,v5). [hyper(118,a,107,a(flip),b,4778,a)]. given #4508 (H,wt=43): 4769 R(x,y,z) * (x * (u * L(u \ (x \ (x * (R(x,y,z) \ u))),w,v5))) = (R(x,y,z) * L(R(x,y,z) \ 1,w,v5)) * (x * u). [para(1419(a,1),2480(a,1,2))]. given #4509 (H,wt=39): 4780 R(x,y,z) * (x * (u * L(u \ (R(x,y,z) \ u),w,v5))) = (R(x,y,z) * L(R(x,y,z) \ 1,w,v5)) * (x * u). [para(9(a,1),4769(a,1,2,2,2,1,2))]. given #4510 (H,wt=39): 4781 x * (R(x,y,z) * (u * L(u \ (R(x,y,z) \ u),w,v5))) = (R(x,y,z) * L(R(x,y,z) \ 1,w,v5)) * (x * u). [hyper(1453,a,4780,a)]. given #4511 (H,wt=37): 4783 (R(x,y,z) * L(R(x,y,z) \ 1,u,w)) * (x * v5) = x * ((R(x,y,z) * L(R(x,y,z) \ 1,u,w)) * v5). [para(2478(a,1),4781(a,1,2)),flip(a)]. given #4512 (H,wt=34): 4784 (R(x,y,z) * L(R(x,y,z) \ 1,u,w)) * (x * v5) = x * (R(x * L(x \ 1,u,w),y,z) * v5). [para(4750(a,1),4783(a,2,2,1))]. given #4513 (H,wt=31): 4785 R(x * L(x \ 1,y,z),u,w) * (x * v5) = x * (R(x * L(x \ 1,y,z),u,w) * v5). [para(4750(a,1),4784(a,1,1))]. given #4514 (H,wt=44): 2659 L(L(L(x \ 1,x,y) \ 1,L(x \ 1,x,y),y),z,u) * (x \ y) = (L(x \ 1,x,y) * L(L(x \ 1,x,y) \ 1,z,u)) * y. [para(887(a,1),2658(a,1,2))]. given #4515 (H,wt=29): 4786 (L(x \ 1,x,y) * L(L(x \ 1,x,y) \ 1,z,u)) * y = L(x,z,u) * (x \ y). [para(506(a,1),2659(a,1,1,1)),flip(a)]. given #4516 (H,wt=29): 4787 (L(x \ 1,x,y) * L(R(x,x \ 1,y \ 1),z,u)) * y = L(x,z,u) * (x \ y). [para(2574(a,2),4786(a,1,1,2,1))]. given #4517 (H,wt=20): 4788 L(x \ L(x,y,z),x,u) * u = L(x,y,z) * (x \ u). [para(4741(a,1),4787(a,1,1))]. given #4518 (H,wt=19): 4789 T((x / y) * L(y,z,u),x) = L(y,z,u) * (y \ x). [hyper(3620,a,4788,a)]. given #4519 (H,wt=21): 4790 x / (L(y,z,u) * (y \ x)) = ((x / y) * L(y,z,u)) \ x. [hyper(196,a,4789,a(flip),b,403,a(flip))]. given #4520 (H,wt=21): 4791 x / (L(y,z,u) * (y \ x)) = x \ ((x / L(y,z,u)) * y). [hyper(306,a,732,a(flip),b,4790,a),flip(a)]. given #4521 (H,wt=25): 4792 R(L(x,y,z) \ x,L(x,y,z),x \ u) = u \ ((u / L(x,y,z)) * x). [hyper(64,a,1113,a,b,4791,a)]. given #4522 (H,wt=25): 4793 L(L(x,y,z) \ x,L(x,y,z),x \ u) = u \ ((u / L(x,y,z)) * x). [hyper(64,a,4098,a,b,4792,a)]. given #4523 (H,wt=30): 4794 L(L(x,y,z) \ x,L(x,y,z),x \ (z * (y * x))) = (z * (y * x)) \ ((z * y) * x). [para(186(a,1),4793(a,2,2,1))]. given #4524 (H,wt=23): 4795 a(x,y,z) = L(L(z,y,x) \ z,L(z,y,x),z \ (x * (y * z))). [hyper(306,a,14,a,b,4794,a)]. given #4525 (H,wt=26): 4796 L(L(x,y,z) \ x,L(x,y,z),x \ (z * (y * x))) != u | a(z,y,x) = u. [para(4794(a,2),1084(a,1))]. given #4526 (H,wt=46): 4699 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(1800(a,1),4697(a,2,1,2,1))]. given #4527 (H,wt=44): 4797 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(3699(a,1),4699(a,1,1))]. given #4528 (H,wt=42): 4798 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(3699(a,1),4797(a,1,2,1,1)),flip(a)]. given #4529 (H,wt=40): 4799 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(1992(a,1),4798(a,2,2,1))]. given #4530 (H,wt=40): 4800 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(3707(a,1),4799(a,2,2))]. given #4531 (H,wt=38): 4801 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(1901(a,1),4800(a,1,1,1)),flip(a)]. given #4532 (H,wt=38): 4802 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(3707(a,1),4801(a,2,1,2))]. given #4533 (H,wt=29): 4803 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(64,a,3984,a(flip),b,4802,a),flip(a)]. given #4534 (H,wt=27): 4804 R(K(x \ 1,y) * K(y,R(x,z,u) \ 1),w,v5) = a(K(x,R(y,w,v5)),z,u). [hyper(306,a,3713,a(flip),b,4803,a),flip(a)]. given #4535 (H,wt=19): 4805 a(K(x,R(y,z,u)),w,v5) = R(a(K(x,y),w,v5),z,u). [para(4072(a,1),4804(a,1,1)),flip(a)]. given #4536 (H,wt=47): 4735 T(x,y * (((z \ u) \ 1) * T((u / z) * L((u / z) \ 1,w,v5),1))) = T(x,y * (((u / z) * L((u / z) \ 1,w,v5)) * ((u / z) \ 1))). [para(4733(a,1),2740(a,1,2,2)),flip(a)]. given #4537 (H,wt=37): 4806 T(x,y * (((z \ u) \ 1) * T((u / z) * L((u / z) \ 1,w,v5),1))) = T(x,y * L((u / z) \ 1,w,v5)). [para(1076(a,1),4735(a,2,2,2))]. given #4538 (H,wt=35): 4807 T(x,y * (((z \ u) \ 1) * T((u * L(u \ z,w,v5)) / z,1))) = T(x,y * L((u / z) \ 1,w,v5)). [para(2523(a,1),4806(a,1,2,2,2,1))]. given #4539 (H,wt=33): 4808 T(x,y * (((z \ u) \ 1) * ((u * L(u \ z,w,v5)) / z))) = T(x,y * L((u / z) \ 1,w,v5)). [hyper(3337,a,4807,a)]. given #4540 (H,wt=33): 4809 T(x,y * (((z \ u) \ 1) * (z \ (u * L(u \ z,w,v5))))) = T(x,y * L((u / z) \ 1,w,v5)). [hyper(3338,a,4808,a)]. given #4541 (H,wt=25): 4810 T(x,y * L((z / u) \ 1,w,v5)) = T(x,y * L((u \ z) \ 1,w,v5)). [para(2521(a,1),4809(a,1,2,2)),flip(a)]. given #4542 (H,wt=48): 3503 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(212(a,2),3316(a,1,2,2,2))]. given #4543 (H,wt=44): 4811 x / (T(K(y,z),u) * (((y \ 1) * x) * R(y,y \ 1,x))) = K(z,((y \ 1) * x) \ x) * K(((y \ 1) * x) \ x,(y \ 1) * x). [para(2981(a,2),3503(a,1,2,1))]. given #4544 (H,wt=37): 4812 x / (T(K(y,z),u) * ((y \ x) * y)) = K(z,((y \ 1) * x) \ x) * K(((y \ 1) * x) \ x,(y \ 1) * x). [para(2202(a,1),4811(a,1,2,2))]. given #4545 (H,wt=33): 4814 K(x,((y \ 1) * z) \ z) * K(((y \ 1) * z) \ z,(y \ 1) * z) = z / ((y \ z) * T(y,x)). [para(2798(a,1),4812(a,1,2)),flip(a)]. given #4546 (H,wt=43): 4815 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(9(a,1),4814(a,2,2,1))]. given #4547 (H,wt=42): 4816 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(4686(a,1),4815(a,1,1,2))]. given #4548 (H,wt=35): 4817 T(K(x,y),z) * K(((y \ 1) * (y * u)) \ (y * u),(y \ 1) * (y * u)) = (y * u) / (u * T(y,x)). [para(3520(a,2),4816(a,1,1))]. given #4549 (H,wt=34): 4819 T(K(x,y),z) * K(R(T(y,u),y \ 1,u * y),(y \ 1) * (y * u)) = (y * u) / (u * T(y,x)). [para(4686(a,1),4817(a,1,2,1))]. given #4550 (H,wt=33): 4820 T(K(x,y),z) * K(R(T(y,u),y \ 1,u * y),L(u,y,y \ 1)) = (y * u) / (u * T(y,x)). [para(714(a,1),4819(a,1,2,2))]. given #4551 (H,wt=31): 4821 T(K(x,y),z) * K(R(y,y \ 1,u * y),L(u,y,y \ 1)) = (y * u) / (u * T(y,x)). [para(1821(a,1),4820(a,1,2))]. given #4552 (H,wt=19): 4823 (x * y) / (y * T(x,z)) = T(K(z,x),u) * K(x,y). [para(3296(a,1),4821(a,1,2)),flip(a)]. given #4553 (H,wt=19): 4824 T(K(x,y) * K(y,z),u) = (y * z) / (z * T(y,x)). [hyper(306,a,3092,a,b,4823,a)]. given #4554 (H,wt=23): 4826 T(K(x,y) * K(y,R(x,z,u)),w) = K(y * x,y * R(x,z,u)). [hyper(306,a,2699,a(flip),b,4824,a),flip(a)]. given #4555 (H,wt=21): 4827 T(a(K(x,y),z * y,u),w) = K(x * y,x * R(y,z,u)). [para(3983(a,1),4826(a,1,1))]. given #4556 (H,wt=19): 4828 K(x * y,x * R(y,z,u)) = a(K(x,y),z * y,u). [hyper(3541,a,4827,a),flip(a)]. given #4557 (H,wt=21): 4830 K(x,(x / y) * R(y,z,u)) = a(K(x / y,y),z * y,u). [para(12(a,1),4828(a,1,1))]. given #4558 (H,wt=21): 4831 K(x,(y \ x) * R(y,z,u)) = a(K(x / y,y),z * y,u). [hyper(2149,a,4830,a)]. given #4559 (H,wt=21): 4832 K(x,x * (y \ R(y,z,u))) = a(K(x / y,y),z * y,u). [hyper(4318,a,4831,a)]. given #4560 (H,wt=19): 4833 K(x,x * (y \ R(y,z,u))) = a(K(x,y),z * y,u). [para(1885(a,1),4832(a,2,1))]. given #4561 (H,wt=17): 4834 a(K(x,y),z * y,u) = K(x,y \ R(y,z,u)). [hyper(2026,a,4833,a),flip(a)]. given #4562 (H,wt=23): 4835 R(a(K(x,y),z * y,u),R(y,z,u),z * u) = K(x,a(y,z,u)). [para(4834(a,2),3607(a,1,1))]. given #4563 (H,wt=23): 4836 a(K(x,R(y,R(y,z,u),z * u)),z * y,u) = K(x,a(y,z,u)). [hyper(64,a,4805,a,b,4835,a)]. given #4564 (H,wt=27): 4829 R(K(x * y,x * R(y,z,u)),x * R(y,z,u),w) = a(K(x,y),z * y,u). [hyper(3176,a,4828,a)]. given #4565 (H,wt=25): 4837 R(a(K(x,y),z * y,u),x * R(y,z,u),w) = a(K(x,y),z * y,u). [para(4828(a,1),4829(a,1,1))]. given #4566 (H,wt=25): 4838 a(K(x,R(y,x * R(y,z,u),w)),z * y,u) = a(K(x,y),z * y,u). [hyper(64,a,4805,a,b,4837,a)]. given #4567 (H,wt=23): 4839 a(K(x,R(y,R(y,z,u),w)),z * y,u) = a(K(x,y),z * y,u). [hyper(64,a,3715,a(flip),b,4838,a)]. given #4568 (H,wt=15): 4840 a(K(x,y),z * y,u) = K(x,a(y,z,u)). [hyper(64,a,4836,a(flip),b,4839,a),flip(a)]. given #4569 (H,wt=17): 4841 K(x,x * a(y,z,u)) = a(K(x,y),z * y,u). [hyper(306,a,1811,a,b,4840,a)]. given #4570 (H,wt=15): 4843 K(x,x * a(y,z,u)) = a(K(x,y),z,u). [hyper(306,a,3994,a(flip),b,4841,a),flip(a)]. given #4571 (H,wt=13): 4844 a(K(x,y),z,u) = a(y,z,K(x,u)). [hyper(64,a,4209,a(flip),b,4843,a),flip(a)]. given #4572 (H,wt=25): 4845 (T(x,x \ y) * a(z,u,K(w,v5))) \ ((x \ y) \ y) = a(K(z,w),u,v5). [para(4844(a,1),4779(a,1,1,2))]. given #4573 (H,wt=13): 4846 a(K(x,y),z,u) = a(x,z,K(u,y)). [hyper(64,a,4007,a(flip),b,4845,a),flip(a)]. given #4574 (H,wt=13): 4847 a(x,y,K(z,u)) = a(u,y,K(x,z)). [hyper(64,a,4844,a(flip),b,4846,a),flip(a)]. given #4575 (H,wt=13): 4851 a(K(x,y),z,u) = a(u,z,K(y,x)). [hyper(306,a,4846,a,b,4847,a)]. given #4576 (H,wt=13): 4853 a(x,y,K(z,u)) = K(x,a(u,y,z)). [hyper(306,a,4207,a(flip),b,4847,a),flip(a)]. given #4577 (H,wt=13): 4869 a(K(x,y),z,u) = K(a(u,z,y),x). [hyper(306,a,4214,a(flip),b,4851,a),flip(a)]. given #4578 (H,wt=15): 4848 a(x,y,K(z,x \ u)) = a(K(x,u),y,z). [hyper(64,a,3673,a(flip),b,4846,a),flip(a)]. given #4579 (H,wt=15): 4852 a(x,y \ z,K(u,y)) = a(u,z,K(y,x)). [hyper(306,a,3940,a,b,4847,a)]. given #4580 (H,wt=15): 4854 a(x \ 1,y,K(z,u)) = a(u,y,K(z,x)). [hyper(306,a,4015,a(flip),b,4847,a),flip(a)]. given #4581 (H,wt=15): 4871 x * a(x,y,K(z,u)) = T(x,a(u,y,z)). [hyper(121,a,4853,a,b,1935,a)]. given #4582 (H,wt=10): 4879 T(x,a(y,z,z)) = x * 1. [para(2811(a,1),4871(a,1,2)),flip(a)]. given #4583 (H,wt=8): 4880 T(x,a(y,z,z)) = x. [hyper(306,a,8,a(flip),b,4879,a),flip(a)]. given #4584 (H,wt=11): 4881 T(x,a(y,z,z)) != u | x = u. [para(4879(a,2),130(a,1))]. given #4585 (H,wt=11): 4884 T(a(x,y,y),z) = a(x,y,y). [hyper(972,a,4880,a)]. given #4586 (H,wt=13): 4882 x / a(y,z,z) = a(y,z,z) \ x. [hyper(2757,a,4880,a),flip(a)]. given #4587 (H,wt=13): 4883 a(x,y,y) * z = z * a(x,y,y). [hyper(1407,a,4880,a),flip(a)]. given #4588 (H,wt=15): 4874 a(x,y,K(z,x \ u)) = a(x,y,K(z,u)). [hyper(306,a,4846,a(flip),b,4848,a),flip(a)]. given #4589 (H,wt=15): 4875 a(x,y \ z,K(y,u)) = a(x,z,K(y,u)). [hyper(64,a,4847,a,b,4852,a)]. given #4590 (H,wt=15): 4892 a(x,y,K(z,x * u)) = a(x,y,K(z,u)). [para(9(a,1),4874(a,1,3,2)),flip(a)]. given #4591 (H,wt=16): 4849 a(x,y,K(z,L(u,w,x))) = a(K(x,u),y,z). [para(3223(a,1),4846(a,1,1)),flip(a)]. given #4592 (H,wt=16): 4876 a(x,y,K(z,u)) != w | a(u,y,K(x,z)) = w. [para(4852(a,1),3953(a,1))]. given #4593 (H,wt=16): 4885 a(x,y,y) * z != u * a(x,y,y) | u = z. [para(4880(a,1),232(a,1,2))]. given #4594 (H,wt=16): 4886 a(x,y,y) * z != u | z * a(x,y,y) = u. [para(4880(a,1),281(a,1,2))]. given #4595 (H,wt=16): 4887 x / a(y,z,z) != u | a(y,z,z) \ x = u. [para(4880(a,1),489(a,1))]. given #4596 (H,wt=16): 4888 x * a(y,z,z) != u | a(y,z,z) * x = u. [para(4880(a,1),818(a,1)),flip(a)]. given #4597 (H,wt=16): 4895 a(x,y,K(z,L(u,w,x))) = a(x,y,K(z,u)). [hyper(306,a,4846,a(flip),b,4849,a),flip(a)]. given #4598 (H,wt=16): 4897 a(K(x,y),z,u) != w | a(y,z,K(x,u)) = w. [para(4846(a,2),4876(a,1))]. given #4599 (H,wt=16): 4898 a(x,y,K(z,u)) != w | a(z,y,K(u,x)) = w. [para(4847(a,2),4876(a,1))]. given #4600 (H,wt=16): 4899 a(K(x,y),z,u) != w | a(x,z,K(u,y)) = w. [para(4851(a,2),4876(a,1))]. given #4601 (H,wt=16): 4904 K(x,a(y,z,u)) != w | a(x,z,K(u,y)) = w. [para(4207(a,1),4898(a,1))]. given #4602 (H,wt=17): 4855 x / a(y,z,K(u,w)) = x * a(w,z,K(u,y)). [hyper(196,a,4847,a,b,4004,a)]. given #4603 (H,wt=17): 4856 a(x,y,K(z,u \ w)) = a(z,y,K(x,w \ u)). [hyper(64,a,4016,a(flip),b,4847,a)]. given #4604 (H,wt=17): 4857 a(x,y,K(z,u)) * w = w * a(z,y,K(u,x)). [hyper(120,a,4847,a(flip),b,3540,a)]. given #4605 (H,wt=17): 4861 K(x,y) * a(x,z,K(u,y)) = K(x,L(y,z,u)). [para(4847(a,1),3828(a,1,2))]. given #4606 (H,wt=17): 4862 K(x,y) * a(y,z,K(x,u)) = K(x,L(y,z,u)). [para(4847(a,2),3828(a,1,2))]. given #4607 (H,wt=17): 4866 a(x,y,K(z,u)) \ w = a(u,y,K(z,x)) * w. [para(4847(a,2),3999(a,1,1))]. given #4608 (H,wt=17): 4878 T(x,a(y \ 1,z,u)) = x * a(x,z,K(y,u)). [para(2072(a,1),4871(a,1,2,3)),flip(a)]. given #4609 (H,wt=15): 4914 T(x,a(y \ 1,z,u)) = T(x,a(u,z,y)). [hyper(306,a,4871,a(flip),b,4878,a),flip(a)]. given #4610 (H,wt=8): 4915 T(x,a(y,y,z)) = x. [hyper(4881,a,4914,a),flip(a)]. given #4611 (H,wt=10): 4919 T(x,a(y,z \ 1,z)) = x. [hyper(64,a,4914,a(flip),b,4915,a)]. given #4612 (H,wt=10): 4922 T(x,a(y,z,z \ 1)) = x. [para(326(a,1),4919(a,1,2,2))]. given #4613 (H,wt=11): 4918 T(a(x,x,y),z) = a(x,x,y). [hyper(972,a,4915,a)]. given #4614 (H,wt=13): 4916 x / a(y,y,z) = a(y,y,z) \ x. [hyper(2757,a,4915,a),flip(a)]. given #4615 (H,wt=13): 4917 a(x,x,y) * z = z * a(x,x,y). [hyper(1407,a,4915,a),flip(a)]. given #4616 (H,wt=15): 4925 T(a(x,y,y \ 1),z) = a(x,y,y \ 1). [hyper(972,a,4922,a)]. given #4617 (H,wt=15): 4927 a(T(x,y),z,z \ 1) = a(x,z,z \ 1). [hyper(64,a,4760,a,b,4925,a)]. given #4618 (H,wt=16): 4920 x / a(y,y,z) != u | a(y,y,z) \ x = u. [para(4915(a,1),489(a,1))]. given #4619 (H,wt=16): 4921 x * a(y,y,z) != u | a(y,y,z) * x = u. [para(4915(a,1),818(a,1)),flip(a)]. given #4620 (H,wt=17): 4923 x / a(y,z,z \ 1) = a(y,z,z \ 1) \ x. [hyper(2757,a,4922,a),flip(a)]. given #4621 (H,wt=17): 4924 a(x,y,y \ 1) * z = z * a(x,y,y \ 1). [hyper(1407,a,4922,a),flip(a)]. given #4622 (H,wt=17): 4926 T(a(x,x,y) * z,u) = T(z,u) * a(x,x,y). [para(4918(a,1),4090(a,1,2)),flip(a)]. given #4623 (H,wt=17): 4930 a(x * y,z,z \ 1) = a(y * x,z,z \ 1). [para(792(a,1),4927(a,1,1))]. given #4624 (H,wt=17): 4933 T(a(x,x,y) * z,u) = a(x,x,y) * T(z,u). [hyper(306,a,4917,a,b,4926,a),flip(a)]. given #4625 (H,wt=18): 4863 a(x,x \ y,K(z,u)) != w | a(z,y,K(u,x)) = w. [para(4847(a,1),3953(a,1))]. given #4626 (H,wt=18): 4872 x * a(x,y,K(z,u)) != w | T(x,a(u,y,z)) = w. [para(4853(a,2),1894(a,1,2))]. given #4627 (H,wt=18): 4902 K(x,x * a(y,z,u)) != w | a(y,z,K(x,u)) = w. [para(4843(a,2),4897(a,1))]. given #4628 (H,wt=18): 4903 K(x,L(y,z,u) \ y) != w | a(x,z,K(y,u)) = w. [para(4024(a,2),4898(a,1))]. given #4629 (H,wt=18): 4935 T(x,a(y \ 1,z,u)) != w | T(x,a(u,z,y)) = w. [para(4878(a,2),4872(a,1))]. given #4630 (H,wt=19): 4850 a(x,y,K(z,u * (w \ x))) = a(K(x,w \ u),y,z). [para(4314(a,1),4846(a,1,1)),flip(a)]. given #4631 (H,wt=19): 4858 a((x * y) \ z,u,K(w,x)) = a(w,u,K(x,y \ z)). [para(3250(a,1),4847(a,1,3)),flip(a)]. given #4632 (H,wt=19): 4859 a(x \ (y \ z),u,K(w,y)) = a(w,u,K(y,x \ z)). [para(3251(a,1),4847(a,1,3)),flip(a)]. given #4633 (H,wt=19): 4910 K(x,L(y,z \ u,z)) = K(x,y) * a(x,u,K(z,y)). [para(4875(a,1),4861(a,1,2)),flip(a)]. given #4634 (H,wt=15): 4937 K(x,L(y,z \ u,z)) = K(x,L(y,u,z)). [hyper(306,a,4861,a(flip),b,4910,a),flip(a)]. given #4635 (H,wt=14): 4940 K(x \ y,L(z,y,x)) = K(x \ y,z). [hyper(3241,a,4937,a),flip(a)]. given #4636 (H,wt=17): 4942 K(x \ y,L(z,y,x)) != u | K(z,y \ x) = u. [para(4940(a,2),2895(a,1))]. given #4637 (H,wt=18): 4939 K(x,L(y \ (z \ u),u,z)) = K(x,(z * y) \ u). [hyper(4074,a,4937,a),flip(a)]. given #4638 (H,wt=18): 4941 K(x,L((y \ z) \ u,z,y)) = K(x,z \ (y * u)). [para(605(a,1),4937(a,1,2)),flip(a)]. given #4639 (H,wt=18): 4944 K(x,L((y \ z) \ u,z,y)) = K(x,z \ (u * y)). [hyper(2264,a,4941,a(flip)),flip(a)]. given #4640 (H,wt=19): 4911 K(x,y) * a(y,z,K(u,x)) = K(x,L(y,z,u \ x)). [para(1909(a,1),4862(a,1,2,3))]. given #4641 (H,wt=20): 4860 x * a(y,z,K(u,w)) != v5 | a(w,z,K(y,u)) * x = v5. [para(4847(a,2),3543(a,1,2))]. given #4642 (H,wt=20): 4864 K(x,y) * a(x,z,K(u,y)) != w | K(x,L(y,z,u)) = w. [para(4847(a,1),3877(a,1,2))]. given #4643 (H,wt=18): 4949 K(x,L(y,z \ u,z)) != w | K(x,L(y,u,z)) = w. [para(4910(a,2),4864(a,1))]. given #4644 (H,wt=20): 4865 K(x,y) * a(y,z,K(x,u)) != w | K(x,L(y,z,u)) = w. [para(4847(a,2),3877(a,1,2))]. given #4645 (H,wt=20): 4891 x * a(y,z,z) != u * w | u \ (a(y,z,z) * x) = w. [para(4883(a,1),633(a,1))]. given #4646 (H,wt=20): 4896 a(x,y,K(z,u \ w)) != v5 | a(z,y,K(x,w \ u)) = v5. [para(2843(a,1),4876(a,1,3))]. given #4647 (H,wt=20): 4907 x * a(y,z,K(u,w)) != v5 * x | a(w,z,K(y,u)) = v5. [para(4857(a,1),45(a,1))]. given #4648 (H,wt=20): 4913 a(x,y,K(z,u)) \ w != v5 | w * a(u,y,K(z,x)) = v5. [para(4866(a,2),3542(a,1))]. given #4649 (H,wt=20): 4953 a(x,y,K(z,u \ y)) != w | a(z,u,K(x,y \ u)) = w. [para(3885(a,2),4896(a,1))]. given #4650 (H,wt=20): 4954 a(x,y,K(z \ u,w)) != v5 | a(x,y,K(w,u \ z)) = v5. [para(4847(a,2),4896(a,1))]. given #4651 (H,wt=20): 4955 x * a(y,z,K(u,w)) != v5 | x * a(u,z,K(w,y)) = v5. [para(4001(a,1),4913(a,1))]. given #4652 (H,wt=21): 4900 a(x,y,K(z,(x * u) \ w)) = a(x,y,K(z,u \ (x \ w))). [para(293(a,1),4895(a,1,3,2))]. given #4653 (H,wt=21): 4901 a(x,y,K(z,(x \ u) \ w)) = a(x,y,K(z,u \ (x * w))). [para(605(a,1),4895(a,1,3,2)),flip(a)]. given #4654 (H,wt=21): 4928 a(x,y,y \ 1) * (x * z) = x * (z * a(x,y,y \ 1)). [para(4925(a,1),4482(a,1,2,2)),flip(a)]. given #4655 (H,wt=21): 4945 K(x,L((y \ z) \ u,z,y)) != w | K(x,z \ (u * y)) = w. [para(4941(a,2),2264(a,1))]. given #4656 (H,wt=21): 4946 K(x,L((y \ z) \ u,z,y)) != w | K(x,z \ (y * u)) = w. [para(4944(a,2),2264(a,1))]. given #4657 (H,wt=21): 4950 K(x,y \ (z * u)) != w | K(x,L((z \ y) \ u,y,z)) = w. [para(605(a,1),4949(a,1,2))]. given #4658 (H,wt=22): 4873 (x * y) * a(y,z,K(u,w)) != x * v5 | T(y,a(w,z,u)) = v5. [para(4853(a,2),2806(a,1,2))]. given #4659 (H,wt=13): 4960 R(x,y,K(z,u)) = T(x,a(u,y,z)). [hyper(4873,a,3973,a),flip(a)]. given #4660 (H,wt=13): 4961 L(x,y,K(z,u)) = T(x,a(u,y,z)). [hyper(64,a,4098,a,b,4960,a)]. given #4661 (H,wt=15): 4962 x * a(x,y,K(z,u)) = L(x,y,K(z,u)). [hyper(306,a,4871,a,b,4961,a)]. given #4662 (H,wt=15): 4964 x * a(y,z,K(u,x)) = L(x,z,K(y,u)). [hyper(4955,a,4962,a)]. given #4663 (H,wt=16): 4963 K(x,L(y,z,K(u,w)) \ v5) = K(x,y \ v5). [para(4961(a,2),2951(a,1,2,1))]. given #4664 (H,wt=16): 4965 L(x,y,K(z,u)) != w | T(x,a(u,y,z)) = w. [para(4962(a,1),4872(a,1))]. given #4665 (H,wt=19): 4966 K(x,y \ (z * K(u,w))) = K(x,(y \ z) * K(u,w)). [para(1646(a,1),4963(a,1,2)),flip(a)]. given #4666 (H,wt=19): 4967 K(x,y \ (K(z,u) * w)) = K(x,(y \ w) * K(z,u)). [hyper(2264,a,4966,a)]. given #4667 (H,wt=22): 4906 ((x * y) * K(z,u)) \ (x * (y * K(z,u))) = a(u,y,K(z,x)). [hyper(674,a,4855,a)]. given #4668 (H,wt=22): 4936 a(x,y,K(z,u * (w \ x))) != v5 | a(x,y,K(z,w \ u)) = v5. [para(4850(a,2),4899(a,1))]. given #4669 (H,wt=22): 4943 K(x,L(y \ T(z,u),u,z \ u)) = K(x,((z \ u) * y) \ u). [para(403(a,2),4939(a,1,2,1,2))]. given #4670 (H,wt=20): 4975 K(x,L(y \ z,u,z \ u)) = K(x,((z \ u) * y) \ u). [hyper(3958,a,4943,a)]. given #4671 (H,wt=20): 4976 K(x,L(y \ z,u,z \ u)) = K(x,((u / z) * y) \ u). [hyper(306,a,4183,a,b,4975,a),flip(a)]. given #4672 (H,wt=20): 4977 K(x,L(y \ z,u,z \ u)) = K(x,u \ ((u / y) * z)). [para(732(a,1),4976(a,2,2))]. given #4673 (H,wt=20): 4978 K(x,L(y \ z,u,z \ u)) = K(x,u \ ((y \ u) * z)). [hyper(306,a,4066,a(flip),b,4977,a),flip(a)]. given #4674 (H,wt=19): 4979 K(x,((y \ z) * u) \ z) = K(x,z \ ((u \ z) * y)). [hyper(64,a,4975,a(flip),b,4978,a)]. given #4675 (H,wt=22): 4951 K(x,y) * a(y,z,K(u,x)) != w | K(x,L(y,z,u \ x)) = w. [para(1909(a,1),4865(a,1,2,3))]. given #4676 (H,wt=22): 4952 K(x,y) * a(y,z,K(u,x)) != w | K(x,L(y,z,u \ 1)) = w. [para(2072(a,1),4865(a,1,2,3))]. given #4677 (H,wt=17): 4981 K(x,L(y,z,u \ 1)) = K(x,L(y,z,u \ x)). [hyper(4952,a,4911,a)]. given #4678 (H,wt=23): 4908 K(x \ y,z) * a(x \ y,u,K(w,z)) = K(L(z,u,w),y \ x). [hyper(306,a,2843,a(flip),b,4861,a),flip(a)]. given #4679 (H,wt=23): 4909 K(x,y) * a(x,z,K(u \ w,y)) = K(x,L(y,z,(w \ u) \ 1)). [para(2840(a,1),4861(a,1,2,3))]. given #4680 (H,wt=19): 4985 K(x,L(y,z,(u \ w) \ 1)) = K(x,L(y,z,w \ u)). [hyper(4864,a,4909,a),flip(a)]. given #4681 (H,wt=21): 4986 K(x,L(y,z,(u \ 1) \ (w \ 1))) = K(x,L(y,z,w \ u)). [hyper(64,a,4234,a,b,4985,a)]. given #4682 (H,wt=19): 4987 K(x,L(y,z,(u / w) \ 1)) = K(x,L(y,z,u \ w)). [para(584(a,1),4986(a,1,2,3))]. given #4683 (H,wt=23): 4931 a(R(x / y,z,u),w,w \ 1) = a(R(y \ x,z,u),w,w \ 1). [para(238(a,1),4927(a,1,1)),flip(a)]. given #4684 (H,wt=23): 4984 K(x,y \ z) * a(z \ y,u,K(w,x)) = K(L(x,u,w),y \ z). [para(2843(a,1),4908(a,1,1))]. given #4685 (H,wt=23): 4988 K(x,y \ z) * a(z \ y,u,K(w,x)) = K(x,L(y \ z,u,w)). [hyper(306,a,3853,a(flip),b,4984,a),flip(a)]. given #4686 (H,wt=23): 4989 K(x,L(y \ z,u,w)) * K(y \ z,x) = a(z \ y,u,K(w,x)). [hyper(2929,a,4988,a)]. given #4687 (H,wt=23): 4990 K(x,L(y \ z,u,w)) * K(x,z \ y) = a(z \ y,u,K(w,x)). [para(2843(a,1),4989(a,1,2))]. given #4688 (H,wt=23): 4991 K(x,y \ z) * K(x,L(z \ y,u,w)) = a(y \ z,u,K(w,x)). [hyper(373,a,4990,a)]. given #4689 (H,wt=24): 4877 K((((x \ 1) * y) * z) * (((y * z) \ 1) * x),u) = a(u,y,K(z,x)). [hyper(4255,a,4854,a)]. given #4690 (H,wt=24): 4893 a(x,y,K(z \ u,L(w,z,u \ x))) = a(x,y,K(w,(u \ x) * z)). [para(3928(a,2),4874(a,1,3))]. given #4691 (H,wt=24): 4980 K(x,L(((y \ z) \ z) \ u,z,y \ z)) = K(x,((u \ z) * y) \ z). [hyper(306,a,4941,a,b,4979,a)]. given #4692 (H,wt=22): 4993 K(x,L(T(y,z) \ u,z,y \ z)) = K(x,((u \ z) * y) \ z). [para(403(a,2),4980(a,1,2,1,1))]. given #4693 (H,wt=20): 4995 K(x,L(y \ z,u,y \ u)) = K(x,((z \ u) * y) \ u). [hyper(3959,a,4993,a)]. given #4694 (H,wt=20): 4996 K(x,L(y \ z,u,y \ u)) = K(x,u \ ((y \ u) * z)). [hyper(306,a,4979,a(flip),b,4995,a),flip(a)]. given #4695 (H,wt=22): 4994 K(x,((y \ z) * u) \ z) != w | K(x,z \ ((u \ z) * y)) = w. [para(4980(a,1),4946(a,1))]. given #4696 (H,wt=23): 4998 K(x,L(y \ z,u,y \ u)) != w | K(x,u \ ((y \ u) * z)) = w. [para(4995(a,2),4994(a,1))]. given #4697 (H,wt=24): 4992 a(x,y,K(z \ u,L(w,z,u \ x))) = a(x,y,K(w,z * (u \ x))). [para(1953(a,1),4893(a,2,3))]. given #4698 (H,wt=25): 4889 (x * (y * a(z,u,u))) \ (a(z,u,u) * (x * y)) = a(x,y,a(z,u,u)). [hyper(118,a,4883,a,b,81,a)]. given #4699 (H,wt=25): 4890 (x * (y * a(z,u,u))) \ ((x * a(z,u,u)) * y) = a(x,a(z,u,u),y). [para(4883(a,1),14(a,2,1,2)),flip(a)]. given #4700 (H,wt=25): 4929 a(T((x \ 1) \ y,z),x \ 1,(x \ 1) \ 1) = a(x * y,x,x \ 1). [hyper(64,a,3751,a,b,4927,a)]. given #4701 (H,wt=23): 5001 a(T((x \ 1) \ y,z),x \ 1,(x \ 1) \ 1) = a(y,x,x \ 1). [hyper(306,a,3730,a(flip),b,4929,a),flip(a)]. given #4702 (H,wt=19): 5002 a(T((x \ 1) \ y,z),x \ 1,x) = a(y,x,x \ 1). [hyper(4596,a,5001,a)]. given #4703 (H,wt=19): 5003 a(T((x \ 1) \ y,z),x,x \ 1) = a(y,x,x \ 1). [hyper(2342,a,5002,a)]. given #4704 (H,wt=17): 5004 a((x \ 1) \ y,x,x \ 1) = a(y,x,x \ 1). [hyper(4590,a,5003,a)]. given #4705 (H,wt=16): 5005 (x \ ((x \ 1) \ y)) \ y = a(y,x,x \ 1). [hyper(64,a,3736,a(flip),b,5004,a)]. given #4706 (H,wt=22): 5006 (x \ 1) \ ((x \ ((x \ 1) \ y)) \ y) = L(x,x \ 1,y \ 1). [para(5005(a,2),4572(a,1,2))]. given #4707 (H,wt=25): 4999 a(x,y,K(z \ u,L(w,z,u \ x))) != v5 | a(x,y,K(w,u \ z)) = v5. [para(4992(a,2),4936(a,1))]. given #4708 (H,wt=26): 4934 x * T(a(y,y,z) * (a(y,y,z) \ (x \ u)),u) = T(u,x * a(y,y,z)). [para(4933(a,2),1694(a,1,2))]. given #4709 (H,wt=16): 5007 T(x,y * a(z,z,u)) = y * T(y \ x,x). [para(10(a,1),4934(a,1,2,1)),flip(a)]. given #4710 (H,wt=12): 5008 T(x,y * a(z,z,u)) = T(x,y). [hyper(306,a,973,a(flip),b,5007,a),flip(a)]. given #4711 (H,wt=12): 5010 T(x,a(y,y,z) \ u) = T(x,u). [hyper(1530,a,5008,a),flip(a)]. given #4712 (H,wt=12): 5011 T(x,a(y,y,z) * u) = T(x,u). [hyper(1529,a,5008,a)]. given #4713 (H,wt=15): 5012 T(x,(y * y) * z) = T(x,y * (y * z)). [para(81(a,1),5008(a,1,2))]. given #4714 (H,wt=19): 5013 T(x,y * ((z \ u) \ y)) = T(x,y * (y * (u \ z))). [hyper(4175,a,5012,a)]. given #4715 (H,wt=19): 5014 T(x,(y * y) * (z * u)) = T(x,y * (y * (u * z))). [hyper(3006,a,5012,a)]. given #4716 (H,wt=23): 5015 T(x,y * (((z \ 1) * u) \ y)) = T(x,y * (y * (z * (u \ 1)))). [hyper(4174,a,5014,a)]. given #4717 (H,wt=25): 5016 T(x,((y \ 1) \ z) * ((u / y) \ 1)) = T(x,y * (y * (z * (u \ 1)))). [hyper(64,a,4324,a,b,5015,a)]. given #4718 (H,wt=23): 5017 T(x,(y / z) \ ((z \ 1) \ u)) = T(x,z * (z * (u * (y \ 1)))). [hyper(3486,a,5016,a)]. given #4719 (H,wt=23): 5018 T(x,((y \ 1) \ z) * (u \ y)) = T(x,y * (y * (z * (u \ 1)))). [hyper(64,a,4054,a(flip),b,5017,a)]. given #4720 (H,wt=26): 4938 K(x,(y \ z) \ u) * a(x,z,K(y,(y \ z) \ u)) = K(x,z \ (y * u)). [para(605(a,1),4910(a,1,2)),flip(a)]. given #4721 (H,wt=24): 5019 K(x,(y \ z) \ u) * a(x,z,K(y,z \ u)) = K(x,z \ (y * u)). [para(3249(a,1),4938(a,1,2,3))]. given #4722 (H,wt=26): 4969 K(x,(y \ (z * u)) * K(w,L(v5,u,z))) = K(x,y \ (z * (u * K(w,v5)))). [para(3832(a,1),4966(a,1,2,2)),flip(a)]. given #4723 (H,wt=23): 5020 K(x,y \ (z * (u * K(w,v5)))) = K(x,(y \ (z * u)) * K(v6,v7)). [hyper(2035,a,4969,a),flip(a)]. given #4724 (H,wt=25): 5021 K(x,y \ ((K(z,u) * w) * v5)) = K(x,(y \ (v5 * T(w,v5))) * K(v6,v7)). [hyper(64,a,4148,a(flip),b,5020,a)]. given #4725 (H,wt=23): 5023 K(x,y \ ((K(z,u) * w) * v5)) = K(x,(y \ (w * v5)) * K(v6,v7)). [para(106(a,1),5021(a,2,2,1,2))]. given #4726 (H,wt=26): 4973 ((x * y) * K(z,u)) \ (x * (y * K(z,u))) = w \ (w * a(u,y,K(z,x))). [hyper(306,a,9,a,b,4906,a),flip(a)]. given #4727 (H,wt=25): 5026 ((x * y) * K(z,u)) \ (x * (y * K(z,u))) != w | a(u,y,K(z,x)) = w. [para(4973(a,2),286(a,1)),flip(b)]. given #4728 (H,wt=26): 4974 ((x * y) * K(z * u,z)) \ (x * (y * K(u,z))) = a(z,y,K(z * u,x)). [para(1884(a,1),4906(a,1,2,2,2))]. given #4729 (H,wt=24): 5028 ((x * y) * K(z,u)) \ (x * (y * K(z,u))) = a(u,y,K(u * z,x)). [para(1884(a,1),4974(a,1,1,2))]. given #4730 (H,wt=18): 5029 a(x,y,K(x * z,u)) != w | a(x,y,K(z,u)) = w. [para(5028(a,1),5026(a,1))]. given #4731 (H,wt=26): 4982 K(L(x,y,z),L(u,w,v5 \ L(x,y,z))) = K(x,L(L(u,w,v5 \ 1),y,z)). [hyper(3917,a,4981,a),flip(a)]. given #4732 (H,wt=26): 4997 K(L(x \ y,z,x \ z),u) = (w \ K(u,z \ ((x \ z) * y))) \ (w \ 1). [para(4996(a,1),4348(a,1,1,2)),flip(a)]. given #4733 (H,wt=20): 5030 K(L(x \ y,z,x \ z),u) = K(z \ ((x \ z) * y),u). [hyper(306,a,4348,a(flip),b,4997,a),flip(a)]. given #4734 (H,wt=20): 5031 K(L(x \ y,z,x \ z),u) = K(u,((x \ z) * y) \ z). [hyper(306,a,2843,a(flip),b,5030,a),flip(a)]. given #4735 (H,wt=20): 5032 K(L(x \ y,z,x \ z),u) = K(u,z \ ((y \ z) * x)). [hyper(306,a,4979,a(flip),b,5031,a),flip(a)]. given #4736 (H,wt=20): 5033 K(x \ y,L(z,u,x \ u)) = K(z,u \ ((y \ u) * x)). [hyper(3917,a,5032,a)]. given #4737 (H,wt=26): 5027 ((x * y) * K(z,u)) \ (x * (y * K(z,u))) = w \ (w / a(x,y,K(z,u))). [para(4855(a,2),4973(a,2,2))]. given #4738 (H,wt=27): 4894 a(x,y,K(x * (((x \ 1) / z) * u),w)) = a(x,y,K(w,((x \ 1) / u) * z)). [para(3523(a,2),4892(a,1,3))]. given #4739 (H,wt=25): 5035 a(x,y,K(((x \ 1) / z) * u,w)) = a(x,y,K(w,((x \ 1) / u) * z)). [hyper(5029,a,4894,a)]. given #4740 (H,wt=25): 5036 a(x,y,K(z * ((x \ 1) / u),w)) = a(x,y,K(w,((x \ 1) / z) * u)). [para(1819(a,1),5035(a,1,3))]. given #4741 (H,wt=25): 5037 a(x,y,K(z * ((x \ 1) / u),w)) = a(x,y,K(w,u * (z \ (x \ 1)))). [para(2120(a,1),5036(a,2,3))]. given #4742 (H,wt=25): 5038 a(x,y,K(z * (u \ (x \ 1)),w)) = a(x,y,K(w,u * (z \ (x \ 1)))). [para(1864(a,1),5037(a,1,3))]. given #4743 (H,wt=27): 4932 x * ((a(y,z,z \ 1) * (u \ x)) \ x) = (x / a(y,z,z \ 1)) * T(u,x). [para(4924(a,2),408(a,1,2,1))]. given #4744 (H,wt=23): 5039 (x / a(y,z,z \ 1)) * T(u,x) = u * (a(y,z,z \ 1) \ x). [hyper(672,a,4932,a),flip(a)]. given #4745 (H,wt=23): 5040 (a(x,y,y \ 1) \ z) * T(u,z) = u * (a(x,y,y \ 1) \ z). [para(4923(a,1),5039(a,1,1))]. given #4746 (H,wt=25): 5041 (x * (a(y,z,z \ 1) \ u)) \ ((a(y,z,z \ 1) \ u) * x) = K(u,x). [para(5040(a,1),2818(a,1,1))]. given #4747 (H,wt=14): 5042 K(a(x,y,y \ 1) \ z,u) = K(z,u). [hyper(302,a,5041,a)]. given #4748 (H,wt=14): 5043 K(x,y \ a(z,u,u \ 1)) = K(y,x). [hyper(2895,a,5042,a)]. given #4749 (H,wt=18): 5045 K(x \ a(y,z,z \ 1),u \ w) = K(x,w \ u). [hyper(2895,a,5043,a)]. given #4750 (H,wt=20): 5044 K(x,L(y \ a(z,u,u \ 1),w,v5)) = K(y,L(x,w,v5)). [hyper(3917,a,5043,a)]. given #4751 (H,wt=21): 5046 K(x \ a(y,z,z \ 1),u \ w) != v5 | K(x,w \ u) = v5. [para(5045(a,1),1843(a,1))]. given #4752 (H,wt=21): 5047 K(x \ y,L(z,y,x)) = K(z,y \ (a(u,w,w \ 1) * x)). [hyper(4945,a,5044,a),flip(a)]. given #4753 (H,wt=18): 5048 K(x,y \ (a(z,u,u \ 1) * w)) = K(x,y \ w). [hyper(4942,a,5047,a),flip(a)]. given #4754 (H,wt=23): 5052 K(x,y \ ((z * u) * (u \ 1))) = K(x,y \ (z * (u * (u \ 1)))). [para(4240(a,1),5048(a,1,2,2))]. given #4755 (H,wt=22): 5053 K(x,y \ (z * (u * (u \ 1)))) = K(x,y \ L(z,u,u \ 1)). [para(2131(a,1),5052(a,1,2,2)),flip(a)]. given #4756 (H,wt=16): 5054 K(x,y \ L(z,u,u \ 1)) = K(x,y \ z). [para(70(a,1),5053(a,1,2,2)),flip(a)]. given #4757 (H,wt=17): 5055 K(x * (((y * z) \ 1) * z),u) = K(u,x \ y). [hyper(64,a,3496,a,b,5054,a)]. given #4758 (H,wt=17): 5056 K(x,y \ ((z \ 1) \ u)) = K(x,y \ (z * u)). [para(718(a,1),5054(a,1,2,2)),flip(a)]. given #4759 (H,wt=17): 5058 K(x * (y \ (z \ 1)),u) = K(u,x \ (y * z)). [hyper(3498,a,5056,a)]. given #4760 (H,wt=17): 5059 K(x,y \ (z * (u \ 1))) = K(y * (z \ u),x). [para(326(a,1),5058(a,1,1,2,2)),flip(a)]. given #4761 (H,wt=17): 5061 K(x * ((y \ 1) * z),u) = K(x * (y \ z),u). [hyper(64,a,3491,a,b,5059,a)]. given #4762 (H,wt=15): 5063 K(x * ((y * z) \ z),u) = K(u,x \ y). [hyper(64,a,5055,a(flip),b,5061,a),flip(a)]. given #4763 (H,wt=15): 5066 K(x * (y \ (z \ y)),u) = K(u,x \ z). [para(10(a,1),5063(a,1,1,2,1))]. given #4764 (H,wt=17): 5062 K(x * ((y \ 1) * z),u) = K((y \ z) * x,u). [hyper(306,a,1819,a,b,5061,a),flip(a)]. given #4765 (H,wt=20): 5068 K(x * ((y \ 1) * z),u) != w | K(x * (y \ z),u) = w. [para(5062(a,2),1845(a,1))]. given #4766 (H,wt=20): 5069 K(x,y \ (z * (u \ 1))) != w | K(y * (z \ u),x) = w. [para(3491(a,1),5068(a,1))]. given #4767 (H,wt=22): 5067 K(((x * y) \ z) * (((z \ 1) * x) * y),u) = a(u,x,K(y,z)). [hyper(64,a,4877,a(flip),b,5062,a),flip(a)]. given #4768 (H,wt=23): 5060 a(x,y,K(z,u * (w \ (x \ 1)))) = a(x,y,K(z,w \ (u * x))). [para(5058(a,1),5038(a,1,3)),flip(a)]. given #4769 (H,wt=23): 5064 K(x * (((y \ 1) * z) \ u),w) = K(x * (((z \ 1) * y) * u),w). [para(561(a,1),5061(a,1,1,2,1)),flip(a)]. given #4770 (H,wt=23): 5065 K(x * (((y \ 1) \ z) \ u),w) = K(x * (((z \ 1) / y) * u),w). [para(569(a,1),5061(a,1,1,2,1)),flip(a)]. given #4771 (H,wt=24): 5051 K(x \ y,L(z,x,a(y,u,u \ 1))) = K(z,L(y,u,u \ 1) \ x). [hyper(64,a,4380,a,b,5048,a)]. given #4772 (H,wt=25): 5049 K(x \ a(y,z,z \ 1),u \ w) = K(x,(a(v5,v6,v6 \ 1) * w) \ u). [hyper(5046,a,5048,a),flip(a)]. given #4773 (H,wt=21): 5071 K(x,(a(y,z,z \ 1) * u) \ w) != v5 | K(x,u \ w) = v5. [para(5049(a,1),5046(a,1))]. given #4774 (H,wt=26): 5050 K(x,(a(y,z,z \ 1) * (u * w)) \ u) = K(w,L(x,u,a(y,z,z \ 1))). [hyper(3919,a,5048,a),flip(a)]. given #4775 (H,wt=19): 5072 K(x,L(y,z,a(u,w,w \ 1))) = K(y,(z * x) \ z). [hyper(5071,a,5050,a),flip(a)]. given #4776 (H,wt=19): 5073 K(x,L(y,z,a(u,w,w \ 1))) = K(y,z \ (z / x)). [para(320(a,1),5072(a,2,2))]. given #4777 (H,wt=19): 5074 K(x,L(y,z,a(u,w,w \ 1))) = K(y,z \ (x \ z)). [hyper(306,a,2257,a(flip),b,5073,a),flip(a)]. given #4778 (H,wt=18): 5075 K(x,L(y,z,a(u,w,w \ 1))) != v5 | K(x,y) = v5. [para(5074(a,2),2852(a,1))]. given #4779 (H,wt=16): 5076 K(x,L(y,z,z \ 1) \ u) = K(u \ y,x). [hyper(5075,a,5051,a),flip(a)]. given #4780 (H,wt=16): 5077 K(x,L(y,z,z \ 1) \ u) = K(x,y \ u). [hyper(306,a,2843,a(flip),b,5076,a),flip(a)]. given #4781 (H,wt=17): 5078 K(x,((y \ 1) * z) \ u) = K(x,(y \ z) \ u). [para(719(a,1),5077(a,1,2,1))]. given #4782 (H,wt=17): 5079 K(x,((y \ 1) \ z) \ u) = K(x,(y * z) \ u). [para(718(a,1),5077(a,1,2,1)),flip(a)]. given #4783 (H,wt=17): 5080 K(x,y * ((z \ 1) * u)) = K(x,(u \ z) \ y). [hyper(64,a,3485,a(flip),b,5078,a)]. given #4784 (H,wt=23): 5081 (x \ K(y * ((z \ 1) * u),w)) \ (x \ 1) = K(w,(u \ z) \ y). [hyper(64,a,4348,a,b,5080,a)]. given #4785 (H,wt=20): 5083 K(x,(y \ z) \ u) != w | K(x,u * ((z \ 1) * y)) = w. [para(5081(a,1),4349(a,1))]. given #4786 (H,wt=21): 5084 (x \ K(y * (z \ u),w)) \ (x \ 1) = K(w,(u \ z) \ y). [para(5061(a,1),5081(a,1,1,2))]. given #4787 (H,wt=15): 5086 K(x,(y \ z) \ u) = K(x,u * (z \ y)). [hyper(4349,a,5084,a),flip(a)]. given #4788 (H,wt=17): 5088 K(x,y * ((z \ 1) * u)) = K(x,y * (z \ u)). [hyper(5083,a,5086,a)]. given #4789 (H,wt=17): 5089 K(x,y * (z \ (u \ 1))) = K(x,(u * z) \ y). [hyper(64,a,5079,a(flip),b,5086,a),flip(a)]. given #4790 (H,wt=18): 5087 K(x,(y \ z) \ u) != w | K(x,u * (z \ y)) = w. [para(5084(a,1),4349(a,1))]. given #4791 (H,wt=21): 5094 a(x,y,K(z,(x * u) \ w)) = a(x,y,K(z,u \ (w * x))). [para(5089(a,1),5060(a,1,3))]. given #4792 (H,wt=21): 5095 a(x,y,K(z,u \ (x \ w))) = a(x,y,K(z,u \ (w * x))). [hyper(64,a,4900,a(flip),b,5094,a)]. given #4793 (H,wt=22): 5085 K(x,((y \ 1) * z) \ u) != w | K(x,u * ((z \ 1) * y)) = w. [para(5078(a,2),5083(a,1))]. given #4794 (H,wt=23): 5082 K(x,(y \ ((z \ 1) \ u)) \ w) = K(x,w * (((u \ 1) / z) * y)). [para(569(a,1),5080(a,1,2,2,1)),flip(a)]. given #4795 (H,wt=23): 5092 K(x,((y \ (z \ 1)) * u) \ w) = K(x,w * (u \ ((y \ 1) \ z))). [hyper(64,a,4185,a(flip),b,5088,a)]. given #4796 (H,wt=23): 5097 K(x,(y \ ((z \ 1) \ u)) \ w) = K(x,w * ((z \ (u \ 1)) * y)). [hyper(306,a,3083,a(flip),b,5082,a),flip(a)]. given #4797 (H,wt=23): 5098 K(x,y * (((z \ 1) \ u) \ w)) = K(x,y * ((z \ (u \ 1)) * w)). [hyper(5087,a,5097,a)]. given #4798 (H,wt=24): 5091 K(x,y * (z \ u)) * a(x,z,K(u,z \ y)) = K(x,z \ (u * y)). [para(5086(a,1),5019(a,1,1))]. given #4799 (H,wt=25): 5090 K(x,y) * a(y,z,K(x,u * (w \ v5))) = K(x,L(y,z,(v5 \ w) \ u)). [para(5086(a,1),4862(a,1,2,3))]. given #4800 (H,wt=24): 5099 K(x,L(y,z,(u \ w) \ v5)) != v6 | K(x,L(y,z,v5 * (w \ u))) = v6. [para(5090(a,1),4865(a,1))]. given #4801 (H,wt=26): 5093 K(x,y * (z \ ((u \ 1) \ w))) != v5 | K(x,(z * ((w \ 1) / u)) \ y) = v5. [para(5088(a,1),3526(a,1))]. given #4802 (H,wt=27): 4957 (x \ y) * (z * a(x \ y,x,x \ 1)) = a(y,x,x \ 1) * ((x \ y) * z). [para(3733(a,1),4928(a,1,1)),flip(a)]. given #4803 (H,wt=28): 4905 (T(x,x \ y) * a(z,u,K(w,v5))) \ ((x \ y) \ y) != v6 | a(z,u,K(v5,w)) = v6. [para(4845(a,2),4899(a,1))]. given #4804 (H,wt=28): 4912 K(x,y \ ((y / z) * (u * z))) = K(x,T(u,z)) * a(T(u,z),z,K(x,z \ y)). [para(3142(a,1),4862(a,2,2)),flip(a)]. given #4805 (H,wt=26): 5102 K(x,y \ ((y / z) * (u * z))) = K(x,u) * a(T(u,z),z,K(x,z \ y)). [para(1937(a,1),4912(a,2,1))]. given #4806 (H,wt=28): 4947 K(L(x,y,z),L(u,w,y \ L(x,y,z))) = K(L(x,y,z),u) * a(u,w,K(y,x)). [para(3238(a,1),4911(a,1,2,3)),flip(a)]. given #4807 (H,wt=28): 4956 a(x,x \ y,K(z,y \ (x * u))) = K(z,(x * u) \ y) * K(u \ (x \ y),z). [hyper(64,a,4196,a(flip),b,4901,a),flip(a)]. given #4808 (H,wt=28): 5096 K(x,(((y \ 1) / z) * u) \ w) != v5 | K(x,w * ((u \ 1) * ((z \ 1) \ y))) = v5. [para(569(a,1),5085(a,1,2,1,1))]. given #4809 (H,wt=28): 5104 K(L(x,y,z),L(u,w,y \ L(x,y,z))) = K(x,L(u,y,z)) * a(u,w,K(y,x)). [para(3853(a,1),4947(a,2,1))]. given #4810 (H,wt=25): 5106 K(x,L(y,z,u)) * a(y,w,K(z,x)) = K(x,L(L(y,w,z \ 1),z,u)). [hyper(64,a,4982,a(flip),b,5104,a),flip(a)]. given #4811 (H,wt=25): 5107 a(x,y,K(z,u)) * K(x,L(z,u,w)) = K(x,L(L(z,y,u \ 1),u,w)). [hyper(4860,a,5106,a)]. given #4812 (H,wt=28): 5105 a(x,x \ y,K(z,y \ (x * u))) = K(z,(x * u) \ y) * K(z,(x \ y) \ u). [para(2843(a,1),4956(a,2,2))]. given #4813 (H,wt=26): 5108 K(x,(y * z) \ u) * K(x,(y \ u) \ z) = a(x,u,K(u \ (y * z),y)). [hyper(4863,a,5105,a),flip(a)]. given #4814 (H,wt=26): 5109 K(x,(y * z) \ u) * K(x,(y \ u) \ z) = a(x,u,K(y,(y * z) \ u)). [hyper(306,a,4016,a(flip),b,5108,a),flip(a)]. given #4815 (H,wt=24): 5110 K(x,(y * z) \ u) * K(x,(y \ u) \ z) = a(x,u,K(y,z \ u)). [para(3250(a,1),5109(a,2,3))]. given #4816 (H,wt=24): 5111 K(x,(y * z) \ u) * K(x,z * (u \ y)) = a(x,u,K(y,z \ u)). [para(5086(a,1),5110(a,1,2))]. given #4817 (H,wt=24): 5112 K(x,y * (z \ u)) * K(x,(u * y) \ z) = a(x,z,K(u,y \ z)). [hyper(373,a,5111,a)]. given #4818 (H,wt=24): 5113 K(x,y * (z \ u)) * K(x,(u * y) \ z) = a(x,y,K(u,y \ z)). [hyper(306,a,3885,a(flip),b,5112,a),flip(a)]. given #4819 (H,wt=24): 5114 K(x,y * (z \ u)) * K(z \ (u * y),x) = a(x,y,K(u,y \ z)). [para(2843(a,2),5113(a,1,2))]. given #4820 (H,wt=24): 5115 K(x,y \ (z * u)) * a(x,u,K(z,u \ y)) = K(x,u * (y \ z)). [hyper(2920,a,5114,a)]. given #4821 (H,wt=26): 5118 K(x,y \ (z * u)) * a((z * u) \ y,u,K(x,z)) = K(x,u * (y \ z)). [para(4858(a,2),5115(a,1,2))]. given #4822 (H,wt=27): 5116 K(x,y \ (z * u)) * a(x,u,K(z,u \ y)) != w | K(x,u * (y \ z)) = w. [para(5114(a,1),2939(a,1,2)),flip(b)]. given #4823 (H,wt=28): 5120 K(x,y \ (z * u)) * a(z \ 1,u,K(x,(z * u) \ y)) = K(x,u * (y \ z)). [para(4854(a,2),5118(a,1,2))]. given #4824 (H,wt=28): 5121 K((x * y) \ z,u) * a(x \ 1,y,K(u,(x * y) \ z)) = K(u,y * (z \ x)). [para(2843(a,2),5120(a,1,1))]. given #4825 (H,wt=20): 5122 K((x * y) \ z,L(u,y,x \ 1)) = K(u,y * (z \ x)). [hyper(3877,a,5121,a)]. given #4826 (H,wt=22): 5123 K(x \ y,L(z,u,(x / u) \ 1)) = K(z,u * (y \ (x / u))). [para(12(a,1),5122(a,1,1,1))]. given #4827 (H,wt=20): 5124 K(x \ y,L(z,u,x \ u)) = K(z,u * (y \ (x / u))). [hyper(64,a,4987,a(flip),b,5123,a)]. given #4828 (H,wt=19): 5125 K(x,y \ ((z \ y) * u)) = K(x,y * (z \ (u / y))). [hyper(64,a,5033,a(flip),b,5124,a)]. given #4829 (H,wt=19): 5126 K(x,y \ ((z \ y) * u)) = K(x,y * (z \ (y \ u))). [hyper(306,a,4370,a(flip),b,5125,a),flip(a)]. given #4830 (H,wt=20): 5127 K(x \ y,L(z,x,y \ u)) = K(z,u * (y \ (u \ x))). [hyper(64,a,3928,a,b,5126,a)]. given #4831 (H,wt=24): 5128 a(x,y,K(z \ u,L(w,z,u \ x))) = a(x,y,K(w,u \ (x \ z))). [para(5127(a,2),4892(a,1,3))]. given #4832 (H,wt=19): 5129 a(x,y,K(z,u \ (x \ w))) = a(x,y,K(z,u \ w)). [hyper(4999,a,5128,a),flip(a)]. given #4833 (H,wt=19): 5130 a(x,y,K(z,u \ (w * x))) = a(x,y,K(z,u \ w)). [hyper(64,a,5095,a(flip),b,5129,a)]. given #4834 (H,wt=29): 4959 K((x \ y) * (z \ (u \ 1)),L(w,y,x)) != v5 | K(w,y \ (x * ((z \ 1) \ u))) = v5. [para(3856(a,2),4946(a,1))]. given #4835 (H,wt=27): 5131 K(L(x,y,z),(z \ y) \ (u * w)) != v5 | K(x,y \ (z * ((u \ 1) \ w))) = v5. [para(5058(a,1),4959(a,1))]. given #4836 (H,wt=24): 5132 K(L(x,y,z),(u * w) * (y \ z)) = K(x,y \ (z * ((u \ 1) \ w))). [hyper(5131,a,5086,a),flip(a)]. given #4837 (H,wt=24): 5133 K(x,L((y * z) * (u \ w),u,w)) = K(x,u \ (w * ((y \ 1) \ z))). [hyper(3917,a,5132,a)]. given #4838 (H,wt=29): 4972 K(x,(((K(y,z) * u) * w) \ v5) * K(y,L(z,u,w))) != v6 | K(x,(u * w) \ v5) = v6. [para(4967(a,1),4405(a,1))]. given #4839 (H,wt=29): 4983 K(L(x,y,z),L(u,w,v5 \ L(x,y,z))) != v6 | K(x,L(L(u,w,v5 \ 1),y,z)) = v6. [para(4981(a,1),3917(a,1))]. given #4840 (H,wt=30): 4948 K(x,y * (z \ u)) * a(x,w,K(u,z \ y)) != v5 | K(x,L(y * (z \ u),w,u)) = v5. [para(4314(a,1),4864(a,1,2,3))]. given #4841 (H,wt=18): 5134 K(x,L(y * (z \ u),z,u)) = K(x,z \ (u * y)). [hyper(4948,a,5091,a)]. given #4842 (H,wt=21): 5135 K(x,y \ (z * ((u \ 1) \ w))) = K(x,y \ (z * (u * w))). [hyper(64,a,5133,a(flip),b,5134,a)]. given #4843 (H,wt=23): 5136 K(x,y \ (z * ((u / w) \ 1))) = K(x,y \ (z * (w * (u \ 1)))). [para(584(a,1),5135(a,1,2,2,2))]. given #4844 (H,wt=21): 5139 K(x,y \ (z * (u * (w \ 1)))) = K(y * (z \ (w / u)),x). [hyper(5069,a,5136,a),flip(a)]. given #4845 (H,wt=21): 5140 K(x,y \ (z * (u * (w \ 1)))) = K(y * (z \ (u \ w)),x). [hyper(306,a,2741,a(flip),b,5139,a),flip(a)]. given #4846 (H,wt=21): 5141 K(x,y \ ((z * (u \ 1)) * w)) = K(y * (w \ (z \ u)),x). [hyper(2264,a,5140,a)]. given #4847 (H,wt=28): 5137 K(x,(y * z) \ ((y * (u \ 1)) * (u * z))) = K(x,a(y,u \ 1,(u \ 1) \ z)). [para(82(a,1),5135(a,1,2)),flip(a)]. given #4848 (H,wt=28): 5142 K(x,(y * z) \ ((y * (u \ 1)) * (u * z))) = a(x,u \ 1,K((u \ 1) \ z,y)). [hyper(306,a,4853,a,b,5137,a),flip(a)]. given #4849 (H,wt=26): 5143 K(x,(y * z) \ ((y * (u \ 1)) * (u * z))) = a(x,u \ 1,K(u * z,y)). [para(3450(a,1),5142(a,2,3))]. given #4850 (H,wt=30): 5025 K(x,(((K(y,z) * u) * w) \ (u * (w * v5))) * K(v6,v7)) = K(x,L(v5,w,K(y,z) * u)). [para(18(a,2),5023(a,1,2)),flip(a)]. given #4851 (H,wt=22): 5144 K(x,L(y,z,K(u,w) * v5)) = K(x,(v5 * z) \ (v5 * (z * y))). [hyper(4972,a,5025,a),flip(a)]. given #4852 (H,wt=17): 5145 K(x,L(y,z,K(u,w) * v5)) = K(x,L(y,z,v5)). [para(18(a,2),5144(a,2,2))]. given #4853 (H,wt=26): 5146 ((K(x,y) * z) * u) * K(w,L(v5,u,z)) = (K(x,y) * z) * (u * K(w,v5)). [para(5145(a,1),3832(a,1,2))]. given #4854 (H,wt=31): 5138 K(x,y \ ((z \ K(z,(u \ 1) \ w)) * (u * w))) = K(x,y \ (((u \ 1) \ w) * (z \ 1))). [para(2078(a,1),5135(a,1,2,2)),flip(a)]. given #4855 (H,wt=29): 5147 K(x,y \ ((z \ K(z,(u \ 1) \ w)) * (u * w))) = K(y * (((u \ 1) \ w) \ z),x). [hyper(306,a,5059,a(flip),b,5138,a),flip(a)]. given #4856 (H,wt=29): 5148 K(x,y \ ((z \ K(z,(u \ 1) \ w)) * (u * w))) = K(y * (((w \ 1) / u) * z),x). [hyper(306,a,5065,a(flip),b,5147,a),flip(a)]. given #4857 (H,wt=27): 5149 K(x,y \ ((z \ K(z,u * w)) * (u * w))) = K(y * (((w \ 1) / u) * z),x). [para(3482(a,1),5148(a,1,2,2,1,2))]. given #4858 (H,wt=23): 5150 K(x * (((y \ 1) / z) * u),w) = K(w,x \ ((z * y) * (u \ 1))). [para(2078(a,1),5149(a,1,2,2)),flip(a)]. given #4859 (H,wt=21): 5151 K(x * (((y \ 1) / z) * u),w) = K(x * ((z * y) \ u),w). [hyper(306,a,5059,a(flip),b,5150,a),flip(a)]. given #4860 (H,wt=27): 5152 K(x * ((((y \ 1) * z) \ 1) \ u),w) = K(x * (((y \ 1) / (z \ 1)) * u),w). [para(561(a,2),5151(a,2,1,2,1)),flip(a)]. given #4861 (H,wt=25): 5155 K(x * ((((y \ 1) * z) \ 1) \ u),w) = K(x * (((z \ y) \ 1) * u),w). [para(558(a,1),5152(a,2,1,2,1))]. given #4862 (H,wt=23): 5156 K(x * ((((y \ 1) * z) \ 1) \ u),w) = K(x * ((z \ y) \ u),w). [hyper(306,a,5061,a(flip),b,5155,a),flip(a)]. given #4863 (H,wt=21): 5157 K(x * (((y \ 1) * z) \ u),w) = K(x * ((y \ z) \ u),w). [para(561(a,1),5156(a,1,1,2,1))]. given #4864 (H,wt=27): 5153 K(x * ((((y \ 1) \ 1) / T(z,y)) * u),w) = K(x * (((y \ 1) * z) \ u),w). [para(2065(a,1),5151(a,2,1,2,1))]. given #4865 (H,wt=23): 5158 K(x * (((y \ 1) * z) \ u),w) = K(x * ((y / T(z,y)) * u),w). [para(326(a,1),5153(a,1,1,2,1,1)),flip(a)]. given #4866 (H,wt=21): 5159 K(x * (((y \ 1) * z) \ u),w) = K(x * ((z \ y) * u),w). [para(406(a,1),5158(a,2,1,2,1))]. given #4867 (H,wt=19): 5160 K(x * ((y \ z) \ u),w) = K(x * ((z \ y) * u),w). [hyper(64,a,5157,a(flip),b,5159,a)]. given #4868 (H,wt=19): 5162 K(x * ((y \ (y / z)) * u),w) = K(x * (z \ u),w). [para(78(a,1),5160(a,1,1,2,1)),flip(a)]. given #4869 (H,wt=21): 5161 K(x * (((y \ 1) * z) * u),w) = K(x * ((y \ z) * u),w). [hyper(64,a,5064,a(flip),b,5159,a)]. given #4870 (H,wt=20): 5163 K(((x * y) \ z) * ((z \ x) * y),u) = a(u,x,K(y,z)). [hyper(64,a,5067,a(flip),b,5161,a),flip(a)]. given #4871 (H,wt=20): 5164 K(((x \ y) * z) * ((y * z) \ x),u) = a(u,y,K(z,x)). [hyper(1845,a,5163,a)]. given #4872 (H,wt=22): 5166 K((x * y) * ((z * y) \ (z / x)),u) = a(u,z,K(y,z / x)). [para(78(a,1),5164(a,1,1,1,1))]. given #4873 (H,wt=22): 5167 K((x * y) * ((z * y) \ (x \ z)),u) = a(u,z,K(y,z / x)). [hyper(64,a,2741,a(flip),b,5166,a)]. given #4874 (H,wt=27): 5165 K((((x * (y * z)) \ x) * y) * L(z,y,x),u) = a(u,x,K(y,x * (y * z))). [para(18(a,2),5164(a,1,1,2))]. given #4875 (H,wt=27): 5168 K(((x \ (x / (y * z))) * y) * L(z,y,x),u) = a(u,x,K(y,x * (y * z))). [para(320(a,1),5165(a,1,1,1,1))]. given #4876 (H,wt=27): 5169 K(L(x,y,z) * ((z \ (z / (y * x))) * y),u) = a(u,z,K(y,z * (y * x))). [hyper(1845,a,5168,a)]. given #4877 (H,wt=23): 5170 K(L(x,y,z) * ((y * x) \ y),u) = a(u,z,K(y,z * (y * x))). [hyper(64,a,5162,a(flip),b,5169,a)]. given #4878 (H,wt=23): 5172 K(L(x,y,z) * (y \ (y / x)),u) = a(u,z,K(y,z * (y * x))). [para(320(a,1),5170(a,1,1,2))]. given #4879 (H,wt=23): 5173 K(L(x,y,z) * (y \ (x \ y)),u) = a(u,z,K(y,z * (y * x))). [hyper(64,a,2741,a(flip),b,5172,a)]. given #4880 (H,wt=19): 5174 K(x,L(y,z,u) \ y) = a(x,u,K(z,u * (z * y))). [hyper(64,a,5066,a(flip),b,5173,a)]. given #4881 (H,wt=17): 5175 a(x,y,K(z,y * (z * u))) = a(x,z,K(u,y)). [hyper(4903,a,5174,a),flip(a)]. given #4882 (H,wt=15): 5177 a(x,y,K(z,y * u)) = a(x,z,K(u,y)). [para(3942(a,1),5175(a,1,3))]. given #4883 (H,wt=32): 5034 (x * (y * K(z,u))) \ (x * (y * K(z,L(u,y,x)))) = w \ (w / a(x,y,K(z,L(u,y,x)))). [para(3832(a,1),5027(a,1,1))]. given #4884 (H,wt=29): 5178 (x * (y * K(z,u))) \ (x * (y * K(z,L(u,y,x)))) = w \ (w / a(x,y,K(z,u))). [para(4895(a,1),5034(a,2,2,2))]. given #4885 (H,wt=29): 5180 (x * (y * K(z,u))) \ (x * (y * K(z,L(u,y,x)))) = w \ (w * a(u,y,K(z,x))). [para(4855(a,1),5178(a,2,2))]. given #4886 (H,wt=28): 5181 (x * (y * K(z,u))) \ (x * (y * K(z,L(u,y,x)))) != w | a(u,y,K(z,x)) = w. [para(5180(a,2),286(a,1)),flip(b)]. given #4887 (H,wt=33): 5154 K((x \ K(x,((y \ 1) / z) * u)) * ((z * y) \ u),w) = K((((y \ 1) / z) * u) * (x \ 1),w). [para(2078(a,1),5151(a,1,1)),flip(a)]. given #4888 (H,wt=31): 5182 K((x \ K(x,((y \ 1) / z) * u)) * ((z * y) \ u),w) = K(w,(((y \ 1) / z) * u) \ x). [hyper(306,a,3445,a(flip),b,5154,a),flip(a)]. given #4889 (H,wt=31): 5183 K((x \ K(x,((y \ 1) / z) * u)) * ((z * y) \ u),w) = K(w,((z \ (y \ 1)) * u) \ x). [hyper(306,a,4183,a(flip),b,5182,a),flip(a)]. given #4890 (H,wt=31): 5184 K((x \ K(x,((y \ 1) / z) * u)) * ((z * y) \ u),w) = K(w,x * (u \ ((z \ 1) \ y))). [hyper(306,a,5092,a(flip),b,5183,a),flip(a)]. given #4891 (H,wt=31): 5185 K((x \ K(x,y * (z \ (u \ 1)))) * ((z * u) \ y),w) = K(w,x * (y \ ((z \ 1) \ u))). [para(2120(a,1),5184(a,1,1,1,2))]. given #4892 (H,wt=29): 5186 K((x \ K(x,(y * z) \ u)) * ((z * y) \ u),w) = K(w,x * (u \ ((z \ 1) \ y))). [para(5089(a,1),5185(a,1,1,1,2))]. given #4893 (H,wt=29): 5187 K(((x * y) \ z) * (u \ K(u,(y * x) \ z)),w) = K(w,u * (z \ ((x \ 1) \ y))). [hyper(1845,a,5186,a)]. given #4894 (H,wt=34): 5119 K(x,((y \ 1) \ z) \ (u * w)) * a(x,w,K(u,w \ (y * z))) = K(x,w * (((y \ 1) \ z) \ u)). [para(5056(a,1),5115(a,1,2,3))]. given #4895 (H,wt=32): 5188 K(x,(y * z) \ (u * w)) * a(x,w,K(u,w \ (y * z))) = K(x,w * (((y \ 1) \ z) \ u)). [para(5079(a,1),5119(a,1,1))]. given #4896 (H,wt=21): 5189 K(x,y * (((z \ 1) \ u) \ w)) = K(x,y * ((z * u) \ w)). [hyper(5116,a,5188,a),flip(a)]. given #4897 (H,wt=21): 5190 K(x,y * ((z \ (u \ 1)) * w)) = K(x,y * ((z * u) \ w)). [hyper(64,a,5098,a(flip),b,5189,a)]. given #4898 (H,wt=35): 5117 K(x,R(T(y,z * u),z,u)) * a(x,u,K(y * z,u \ (z * u))) = K(x,u * ((z * u) \ (y * z))). [para(745(a,1),5115(a,1,1,2))]. given #4899 (H,wt=35): 5191 K(x,L(T(y,z * u),z,u)) * a(x,u,K(y * z,u \ (z * u))) = K(x,u * ((z * u) \ (y * z))). [para(3356(a,1),5117(a,1,1))]. given #4900 (H,wt=31): 5192 K(x,L(y,z,u)) * a(x,u,K(y * z,u \ (z * u))) = K(x,u * ((z * u) \ (y * z))). [para(1952(a,1),5191(a,1,1))]. given #4901 (H,wt=29): 5193 K(x,L(y,z,u)) * a(x,u,K(y * z,T(z,u))) = K(x,u * ((z * u) \ (y * z))). [para(22(a,2),5192(a,1,2,3,2))]. given #4902 (H,wt=27): 5195 K(x,L(y,z,u)) * a(x,u,K(y * z,z)) = K(x,u * ((z * u) \ (y * z))). [para(1937(a,1),5193(a,1,2,3))]. given #4903 (H,wt=25): 5196 K(x,L(y,z,u)) * a(x,u,K(y,z)) = K(x,u * ((z * u) \ (y * z))). [para(1887(a,1),5195(a,1,2,3))]. given #4904 (H,wt=28): 5198 K(x,y * ((z * y) \ (u * z))) != w | a(x,y,K(u,z)) * K(x,L(u,z,y)) = w. [para(5196(a,1),373(a,1))]. given #4905 (H,wt=49): 3399 L(a(x,K(y,z),u),x * (K(y,z) * u),K(z,(x * u) / (x * (y \ u)))) = (x * u) \ (K(z,(x * u) / (x * (y \ u))) * ((x * K(y,z)) * u)). [para(3396(a,1),608(a,1,1)),flip(a)]. given #4906 (H,wt=49): 5199 L(a(x,K(y,z),u),x * (K(y,z) * u),K(z,(x * (y \ u)) \ (x * u))) = (x * u) \ (K(z,(x * u) / (x * (y \ u))) * ((x * K(y,z)) * u)). [hyper(3178,a,3399,a)]. given #4907 (H,wt=46): 5200 L(a(x,K(y,z),u),x * (K(y,z) * u),K(L(z,u,x),T(y,w))) = (x * u) \ (K(z,(x * u) / (x * (y \ u))) * ((x * K(y,z)) * u)). [para(3867(a,2),5199(a,1,3))]. given #4908 (H,wt=44): 5201 L(a(x,K(y,z),u),x * (K(y,z) * u),K(L(z,u,x),y)) = (x * u) \ (K(z,(x * u) / (x * (y \ u))) * ((x * K(y,z)) * u)). [hyper(3174,a,5200,a)]. given #4909 (H,wt=44): 5202 L(a(x,K(y,z),u),x * (K(y,z) * u),K(z,L(y,u,x))) = (x * u) \ (K(z,(x * u) / (x * (y \ u))) * ((x * K(y,z)) * u)). [para(3853(a,1),5201(a,1,3))]. given #4910 (H,wt=46): 5203 L(a(x,K(y,z),u),x * (K(y,z) * u),K(z,L(y,u,x))) = ((x * u) \ (K(z,(x * u) / (x * (y \ u))) * ((x * K(y,z)) * u))) / 1. [hyper(306,a,74,a,b,5202,a),flip(a)]. given #4911 (H,wt=46): 5205 L(a(x,K(y,z),u),x * (K(y,z) * u),K(z,L(y,u,x))) = (x * u) \ (((x * K(y,z)) * u) * K(z,T((x * u) / (x * (y \ u)),w))). [para(1946(a,2),5202(a,2,2))]. given #4912 (H,wt=50): 3689 ((x * y) * z) / ((((x * y) * z) / R(T(x,y * z),y,z)) * T(x,y * z)) = ((x * y) * (y \ ((x * y) * z))) / (((x * y) * z) * T(x,y * z)). [para(1317(a,1),3687(a,1,1)),flip(a)]. given #4913 (H,wt=39): 5206 ((x * y) * (y \ ((x * y) * z))) / (((x * y) * z) * T(x,y * z)) = ((x * y) * z) / ((y * z) * T(x,y * z)). [para(744(a,1),3689(a,1,2,1)),flip(a)]. given #4914 (H,wt=35): 5207 ((x * y) * (y \ ((x * y) * z))) / (((x * y) * z) * T(x,y * z)) = ((x * y) * z) / (x * (y * z)). [para(106(a,1),5206(a,2,2))]. given #4915 (H,wt=28): 5209 a(x,y,z) = ((x * y) * (y \ ((x * y) * z))) / (((x * y) * z) * T(x,y * z)). [hyper(306,a,4241,a,b,5207,a)]. given #4916 (H,wt=24): 5210 a(x,y,z) = ((x * y) * (y \ ((x * y) * z))) / (x * ((x * y) * z)). [para(1552(a,1),5209(a,2,2))]. given #4917 (H,wt=15): 5211 a(x,y,y \ ((x * y) * z)) = a(x,y,z). [hyper(306,a,4247,a(flip),b,5210,a)]. given #4918 (H,wt=11): 5212 a(x,y,x * y) = a(x,y,y). [hyper(4595,a,5211,a)]. given #4919 (H,wt=15): 5213 a(x,y,(x * y) \ z) = a(x,y,y \ z). [para(10(a,1),5211(a,1,3,2)),flip(a)]. given #4920 (H,wt=15): 5217 a(x,x \ y,x \ y) = a(x,x \ y,y). [para(10(a,1),5212(a,1,3)),flip(a)]. given #4921 (H,wt=18): 5218 (x * ((y * x) \ z)) \ (y \ z) = a(y,x,x \ z). [hyper(64,a,4548,a,b,5213,a)]. given #4922 (H,wt=18): 5219 a(x,y,L(y \ z,y,x)) = a(x,y,y \ (x * z)). [para(95(a,2),5213(a,1,3))]. given #4923 (H,wt=18): 5220 a(x,y,R(x / z,z,y)) = a(z,y,y \ (x * y)). [hyper(64,a,4651,a(flip),b,5218,a)]. given #4924 (H,wt=16): 5223 a(x,y,R(x / z,z,y)) = a(z,y,T(x,y)). [para(22(a,2),5220(a,2,3))]. given #4925 (H,wt=17): 5224 a(x,y,(z * y) \ (x * y)) = a(z,y,T(x,y)). [hyper(4650,a,5223,a)]. given #4926 (H,wt=15): 5225 a(x,y,(z * y) \ (x * y)) = a(z,y,x). [hyper(306,a,4299,a(flip),b,5224,a),flip(a)]. given #4927 (H,wt=15): 5226 a(x,y,z \ (x * y)) = a(z / y,y,x). [para(12(a,1),5225(a,1,3,1))]. given #4928 (H,wt=15): 5227 a(x,y,z \ (x * y)) = a(y \ z,y,x). [hyper(306,a,4577,a(flip),b,5226,a),flip(a)]. given #4929 (H,wt=18): 5221 a(x,y,y \ 1) != z | a(y,y \ 1,x \ 1) = z. [para(5218(a,1),2361(a,1))]. given #4930 (H,wt=18): 5228 a(x,y,z \ (x * y)) != u | a(y \ z,y,x) = u. [para(5226(a,2),4600(a,1))]. given #4931 (H,wt=19): 5229 a(x \ ((x * y) / z),x,y) = a(y,x,z * K(y,x)). [para(3950(a,1),5227(a,1,3)),flip(a)]. given #4932 (H,wt=15): 5230 a(x \ ((x * y) / z),x,y) = a(y,x,z). [hyper(306,a,4579,a(flip),b,5229,a),flip(a)]. given #4933 (H,wt=15): 5231 a(x \ (y \ (x * z)),x,z) = a(z,x,y). [hyper(4621,a,5230,a)]. given #4934 (H,wt=13): 5232 a(x,y,z) = z * R(z \ 1,y,x). [hyper(4667,a,5231,a),flip(a)]. given #4935 (H,wt=13): 5238 a(x,y,z \ 1) = z \ R(z,y,x). [hyper(306,a,1440,a(flip),b,5232,a),flip(a)]. given #4936 (H,wt=13): 5239 x * L(x \ 1,x,y) = a(y,x,x). [para(938(a,1),5232(a,2,2)),flip(a)]. given #4937 (H,wt=9): 5246 R(x,y,a(z,x,x)) = x. [para(5239(a,1),4744(a,1,3))]. given #4938 (H,wt=11): 5243 a(x,x \ 1,y) = a(y,x,x). [hyper(64,a,4560,a(flip),b,5239,a)]. given #4939 (H,wt=11): 5249 a(x \ 1,x,y) = a(y,x,x). [hyper(4608,a,5243,a)]. given #4940 (H,wt=13): 5242 L(x \ 1,x,y) = x \ a(y,x,x). [hyper(125,a,5239,a),flip(a)]. given #4941 (H,wt=13): 5250 a(x \ 1,y,y \ 1) = a(x,y,y). [hyper(2283,a,5243,a)]. given #4942 (H,wt=13): 5251 a(x \ 1,y,y) = a(x,y,y \ 1). [hyper(2280,a,5243,a),flip(a)]. given #4943 (H,wt=13): 5252 a(x,x \ 1,y) = a(y,x,x) * 1. [hyper(306,a,8,a,b,5243,a),flip(a)]. given #4944 (H,wt=13): 5254 a(x \ y,y,y \ 1) = a(x,y,y). [hyper(64,a,4433,a,b,5243,a)]. given #4945 (H,wt=13): 5255 a(x,y,y \ 1) \ 1 = a(x,y,y). [hyper(64,a,2355,a,b,5243,a)]. given #4946 (H,wt=13): 5257 a(x * y,x,x) = a(x,x \ 1,y). [hyper(64,a,4493,a(flip),b,5243,a),flip(a)]. given #4947 (H,wt=11): 5269 a(x * y,x,x) = a(y,x,x). [hyper(306,a,5243,a(flip),b,5257,a),flip(a)]. given #4948 (H,wt=11): 5271 a(x \ y,x,x) = a(y,x,x). [para(10(a,1),5269(a,1,1)),flip(a)]. given #4949 (H,wt=13): 5261 a(x,y,y \ 1) = a(x,y,y) \ 1. [para(5243(a,1),2338(a,1,1)),flip(a)]. given #4950 (H,wt=14): 5253 ((x \ 1) * y) \ (x \ y) = a(y,x,x). [hyper(64,a,4496,a,b,5243,a)]. given #4951 (H,wt=14): 5259 (x \ y) \ a(y,x,x) = (y \ 1) * x. [hyper(118,a,5243,a(flip),b,4498,a)]. given #4952 (H,wt=14): 5262 x \ ((x \ 1) \ y) = y * a(y,x,x). [para(5243(a,1),4258(a,1,2)),flip(a)]. given #4953 (H,wt=14): 5266 a(x,x \ 1,y) != z | a(y,x,x) = z. [para(5252(a,2),129(a,1)),flip(b)]. given #4954 (H,wt=14): 5278 a(x * y,x,x) != z | a(y,x,x) = z. [para(5257(a,2),5266(a,1))]. given #4955 (H,wt=15): 5258 a(x \ K(y,z),y,y) = a(x,y,y \ 1). [hyper(64,a,4366,a(flip),b,5243,a),flip(a)]. given #4956 (H,wt=15): 5265 L(x,x \ 1,y \ 1) = a(y,x,x) \ x. [para(5250(a,1),4565(a,1,1)),flip(a)]. given #4957 (H,wt=15): 5268 L(x,x \ 1,y \ x) = a(y,x,x) \ x. [para(5254(a,1),4565(a,1,1)),flip(a)]. given #4958 (H,wt=16): 5235 a(x,y,z) != u | z * R(z \ 1,y,x) = u. [para(5231(a,1),4667(a,1))]. given #4959 (H,wt=16): 5240 a(x,y,z \ 1) != u | z \ R(z,y,x) = u. [para(5232(a,2),1441(a,1))]. given #4960 (H,wt=16): 5244 x \ a(y,x,x) != z | L(x \ 1,x,y) = z. [para(5239(a,1),286(a,1,2)),flip(b)]. given #4961 (H,wt=16): 5245 a(x,x \ y,x \ y) = (x \ y) * (y \ x). [para(462(a,1),5239(a,1,2)),flip(a)]. given #4962 (H,wt=14): 5280 (x \ y) \ a(x,x \ y,y) = y \ x. [hyper(118,a,5217,a(flip),b,5245,a(flip))]. given #4963 (H,wt=16): 5260 a(x \ 1,y,y) != z | a(x,y,y \ 1) = z. [para(5243(a,1),2280(a,1))]. given #4964 (H,wt=16): 5270 (x * y) * a(x * y,x,x) = (x \ 1) \ y. [hyper(121,a,5257,a,b,4513,a)]. given #4965 (H,wt=16): 5272 a(x,y,y \ 1) != z \ 1 | a(x,y,y) = z. [para(5261(a,2),49(a,1))]. given #4966 (H,wt=16): 5273 a(x,y,y \ 1) != z | a(x \ 1,y,y) = z. [para(2279(a,1),5266(a,1))]. given #4967 (H,wt=16): 5274 a(x \ 1,y,y \ 1) != z | a(x,y,y) = z. [para(2281(a,2),5266(a,1))]. given #4968 (H,wt=16): 5276 a(x \ y,y,y \ 1) != z | a(x,y,y) = z. [para(4433(a,2),5266(a,1))]. given #4969 (H,wt=17): 5234 a(x \ (y \ z),x,x \ z) = a(x \ z,x,y). [para(10(a,1),5231(a,1,1,2,2))]. given #4970 (H,wt=17): 5263 a(x,x \ 1,L(y,z,u)) = L(a(y,x,x),z,u). [para(5243(a,1),4475(a,2,1))]. given #4971 (H,wt=15): 5281 a(L(x,y,z),u,u) = L(a(x,u,u),y,z). [hyper(5266,a,5263,a)]. given #4972 (H,wt=17): 5264 a(x,x \ 1,R(y,z,u)) = R(a(y,x,x),z,u). [para(5243(a,1),4707(a,2,1))]. given #4973 (H,wt=15): 5284 a(R(x,y,z),u,u) = R(a(x,u,u),y,z). [hyper(5266,a,5264,a)]. given #4974 (H,wt=18): 5248 a(L(x,y,x * T(z,u)),z,z) = a(z,z \ 1,x). [hyper(4638,a,5243,a),flip(a)]. given #4975 (H,wt=16): 5285 a(L(x,y,x * T(z,u)),z,z) = a(x,z,z). [hyper(306,a,5243,a(flip),b,5248,a),flip(a)]. given #4976 (H,wt=14): 5286 a(L(x,y,x * z),z,z) = a(x,z,z). [para(105(a,1),5285(a,1,1,3,2))]. given #4977 (H,wt=14): 5287 L(a(x,y,y),z,x * y) = a(x,y,y). [hyper(64,a,5281,a(flip),b,5286,a)]. given #4978 (H,wt=11): 5288 L(x,x,y) \ x = a(y,x,x). [hyper(2552,a,5287,a)]. given #4979 (H,wt=11): 5289 a(x,y,y) \ y = L(y,y,x). [hyper(40,a,2555,a,b,5288,a)]. given #4980 (H,wt=11): 5290 a(x,y,y) * L(y,y,x) = y. [hyper(120,a,5288,a(flip),b,835,a)]. given #4981 (H,wt=13): 5291 L(x,x \ 1,y \ x) = L(x,x,y). [hyper(64,a,5268,a,b,5289,a)]. given #4982 (H,wt=13): 5292 L(x,x \ 1,y \ 1) = L(x,x,y). [hyper(64,a,5265,a,b,5289,a)]. given #4983 (H,wt=13): 5299 L(x,x \ 1,y) = L(x,x,y \ 1). [hyper(64,a,2560,a(flip),b,5292,a)]. given #4984 (H,wt=13): 5300 L(x \ 1,x,y) = L(x,x,y) \ 1. [para(5292(a,1),1298(a,1,1)),flip(a)]. given #4985 (H,wt=13): 5302 R(x,x \ 1,y) = L(x,x,y \ 1). [hyper(64,a,4097,a,b,5299,a)]. given #4986 (H,wt=14): 5293 L(x,x,y) != z \ x | a(y,x,x) = z. [para(5289(a,1),49(a,1))]. given #4987 (H,wt=14): 5294 a(x,y,y) * L(y,y,x) != z | y = z. [para(5289(a,1),263(a,1,2))]. given #4988 (H,wt=14): 5303 L(x,x,y \ 1) \ y = (x \ 1) * y. [para(5299(a,1),923(a,1,1))]. given #4989 (H,wt=15): 5297 (x \ 1) \ a(y,x,x \ 1) = L(x,x,y). [hyper(64,a,4572,a,b,5292,a)]. given #4990 (H,wt=15): 5305 (x \ 1) \ a(y,x,x) = L(x,x,y \ x). [para(5254(a,1),5297(a,1,2))]. given #4991 (H,wt=17): 5298 L(x \ 1,x \ 1,y) = L(x \ 1,x,y \ 1). [hyper(64,a,3157,a(flip),b,5292,a),flip(a)]. given #4992 (H,wt=17): 5304 L(x,x \ 1,y \ x) \ 1 = L(x \ 1,x,y). [para(5291(a,2),5300(a,2,1)),flip(a)]. given #4993 (H,wt=17): 5307 L(x \ 1,x,(y \ x) \ 1) = L(x \ 1,x,y). [hyper(64,a,1300,a,b,5304,a)]. given #4994 (H,wt=18): 5267 a(x,x \ 1,y) != z * u | z \ a(y,x,x) = u. [para(5252(a,2),261(a,1))]. given #4995 (H,wt=18): 5275 a(x \ (y \ 1),y,y \ 1) != z | a(x,y,y) = z. [para(2656(a,2),5266(a,1))]. given #4996 (H,wt=18): 5282 L(a(x,y,y),z,u) != w | a(L(x,z,u),y,y) = w. [para(5263(a,1),5266(a,1))]. given #4997 (H,wt=19): 5233 x / ((x / R(y,z,u)) * y) = a(u,z,x / (x * y)). [hyper(64,a,4671,a(flip),b,5231,a)]. given #4998 (H,wt=19): 5236 R(x * R(x \ 1,y,z),u,w) = a(z,y,R(x,u,w)). [hyper(306,a,4697,a(flip),b,5232,a)]. given #4999 (H,wt=15): 5309 a(x,y,R(z,u,w)) = R(a(x,y,z),u,w). [para(5232(a,2),5236(a,1,1)),flip(a)]. given #5000 (H,wt=19): 5237 L(x * R(x \ 1,y,z),u,w) = a(z,y,L(x,u,w)). [hyper(306,a,4463,a(flip),b,5232,a)]. given #5001 (H,wt=15): 5310 a(x,y,L(z,u,w)) = L(a(x,y,z),u,w). [para(5232(a,2),5237(a,1,1)),flip(a)]. given #5002 (H,wt=19): 5241 a(x,y,y * R(y \ 1,z,u)) = a(x,a(u,z,y),y). [para(5232(a,2),4406(a,1,2)),flip(a)]. given #5003 (H,wt=15): 5313 a(x,a(y,z,u),u) = a(x,u,a(y,z,u)). [para(5232(a,2),5241(a,1,3)),flip(a)]. given #5004 (H,wt=19): 5308 x \ ((x / y) * R(y,x,z)) = a(z,x,x / (x * y)). [hyper(64,a,4540,a(flip),b,5233,a)]. given #5005 (H,wt=19): 5314 x \ ((x / y) * R(y,x,z)) = a(z,x,(x * y) \ x). [hyper(306,a,4302,a(flip),b,5308,a),flip(a)]. given #5006 (H,wt=16): 5315 a(R(x,y,z),y,z) = a(z,y,(y * x) \ y). [hyper(4543,a,5314,a)]. given #5007 (H,wt=16): 5316 a(R(x,y,z),y,z) = a(z,y,y \ (y / x)). [para(320(a,1),5315(a,2,3))]. given #5008 (H,wt=16): 5317 a(R(x,y,z),y,z) = a(z,y,y \ (x \ y)). [hyper(306,a,4298,a(flip),b,5316,a),flip(a)]. given #5009 (H,wt=20): 5216 a(x,y,y \ (y * (T(x,y) * z))) = a(x,y,L(z,x,y)). [para(3128(a,1),5211(a,1,3,2))]. given #5010 (H,wt=16): 5318 a(x,y,T(x,y) * z) = a(x,y,L(z,x,y)). [para(9(a,1),5216(a,1,3))]. given #5011 (H,wt=14): 5319 a(x,y,L(z,x,y)) = a(x,y,x * z). [hyper(4581,a,5318,a),flip(a)]. given #5012 (H,wt=17): 5321 a(x,y,L(z,x,y)) != u | a(x,y,x * z) = u. [para(5318(a,1),4581(a,1))]. given #5013 (H,wt=18): 5325 a(T(x,y),z,L(u,x,z)) = T(a(x,z,x * u),y). [para(5319(a,1),4760(a,2,1))]. given #5014 (H,wt=18): 5327 a(T(x,y),z,L(u,x,z)) = a(T(x,y),z,x * u). [hyper(306,a,4760,a,b,5325,a),flip(a)]. given #5015 (H,wt=19): 5322 a(x,T(y,L(z,x,y)),L(z,x,y)) = a(x,y,x * z). [hyper(4607,a,5319,a)]. given #5016 (H,wt=16): 5328 a(x,T(y,z),L(z,x,y)) = a(x,y,x * z). [para(3218(a,1),5322(a,1,2))]. given #5017 (H,wt=20): 5283 (x * y) * a(L(z,y,x),u,u) = x * (y * a(z,u,u)). [hyper(121,a,5281,a,b,18,a(flip))]. given #5018 (H,wt=20): 5323 a(x,y,L(L(z,x,y),u,w)) = a(x,y,x * L(z,u,w)). [para(30(a,1),5319(a,1,3))]. given #5019 (H,wt=20): 5330 L(a(x,y,L(z,x,y)),u,w) = a(x,y,x * L(z,u,w)). [hyper(64,a,5310,a(flip),b,5323,a)]. given #5020 (H,wt=19): 5331 a(x,y,x * L(z,u,w)) = L(a(x,y,x * z),u,w). [para(5319(a,1),5330(a,1,1)),flip(a)]. given #5021 (H,wt=19): 5332 a(x,y,L(x * z,u,w)) = a(x,y,x * L(z,u,w)). [hyper(306,a,5310,a,b,5331,a)]. given #5022 (H,wt=21): 5256 a(x,x \ 1,R(y \ z,u,w)) = a(R(z / y,u,w),x,x). [hyper(64,a,4620,a(flip),b,5243,a)]. given #5023 (H,wt=21): 5295 L(L(x,x,y),a(y,x,x),z) = (z * a(y,x,x)) \ (z * x). [para(5289(a,1),95(a,1,1))]. given #5024 (H,wt=21): 5326 a(x,T(y,z),L(z,x,y)) != u | a(x,T(y,z),x * z) = u. [para(3562(a,1),5321(a,1,3))]. given #5025 (H,wt=15): 5337 a(x,T(y,z),x * z) = a(x,y,x * z). [hyper(5326,a,5328,a)]. given #5026 (H,wt=21): 5336 L(L(x,a(y,x,x),z),x,y) = (z * a(y,x,x)) \ (z * x). [hyper(64,a,30,a,b,5295,a)]. given #5027 (H,wt=22): 5277 R(a(x,y,y \ 1),z,u) != w | a(R(x \ 1,z,u),y,y) = w. [para(4708(a,1),5266(a,1))]. given #5028 (H,wt=22): 5335 a(R(x / y,z,u),w,w) != v5 | a(R(y \ x,z,u),w,w) = v5. [para(5256(a,1),5266(a,1))]. given #5029 (H,wt=23): 5215 a(T(x,y \ 1),y,y \ ((y * x) * z)) = a(T(x,y \ 1),y,z). [para(2054(a,1),5211(a,1,3,2,1))]. given #5030 (H,wt=19): 5339 a(x,y,y \ ((y * x) * z)) = a(T(x,y \ 1),y,z). [hyper(4590,a,5215,a)]. given #5031 (H,wt=15): 5340 a(x,y,y \ ((y * x) * z)) = a(x,y,z). [hyper(306,a,4573,a(flip),b,5339,a),flip(a)]. given #5032 (H,wt=15): 5343 a(x,y,(y * x) \ z) = a(x,y,y \ z). [para(10(a,1),5340(a,1,3,2)),flip(a)]. given #5033 (H,wt=17): 5342 a(x,y,y \ (((y * x) * z) * x)) = a(x,y,z). [hyper(64,a,4375,a,b,5340,a)]. given #5034 (H,wt=17): 5344 a(x \ y,x,y \ z) = a(x \ y,x,x \ z). [para(10(a,1),5343(a,1,3,1))]. given #5035 (H,wt=18): 5341 a(x,y,y \ ((y * x) * z)) != u | a(x,y,z) = u. [para(5339(a,2),4590(a,1))]. given #5036 (H,wt=19): 5347 a(x \ (y \ z),x,x \ z) = a(x \ (y \ z),x,y). [hyper(64,a,4270,a(flip),b,5344,a),flip(a)]. given #5037 (H,wt=15): 5349 a(x \ (y \ z),x,y) = a(x \ z,x,y). [hyper(64,a,5234,a(flip),b,5347,a),flip(a)]. given #5038 (H,wt=17): 5350 a(x \ T(y,z),x,z) = a(x \ (y * z),x,z). [para(22(a,2),5349(a,1,1,2))]. given #5039 (H,wt=20): 5348 a(x,y,y \ (((y * x) * z) * x)) != u | a(x,y,z) = u. [para(4375(a,2),5341(a,1))]. given #5040 (H,wt=21): 5345 a(x,y,y \ (((y * x) * (z \ 1)) * x)) = z \ R(z,y,x). [hyper(306,a,5238,a(flip),b,5342,a),flip(a)]. given #5041 (H,wt=21): 5346 a(x,y,y \ (((y * x) * z) * x)) = z * R(z \ 1,y,x). [hyper(306,a,5232,a(flip),b,5342,a),flip(a)]. given #5042 (H,wt=23): 5306 L(x \ 1,x \ 1,y \ (x \ 1)) = x \ a(y,x \ 1,x \ 1). [para(326(a,1),5305(a,1,1)),flip(a)]. given #5043 (H,wt=23): 5312 (x * a(x,y,L(z,u,x))) * u = x * (R(a(x,y,z),x,u) * u). [para(5310(a,2),4768(a,1,1,2))]. given #5044 (H,wt=23): 5324 a(x,y,x * (x \ (z \ (x * y)))) = a(x,y,(z * x) \ (x * y)). [para(3173(a,1),5319(a,1,3)),flip(a)]. given #5045 (H,wt=21): 5356 a(x,y,x * (x \ (z \ (x * y)))) = a(y \ (z * x),y,x). [hyper(306,a,5227,a(flip),b,5324,a),flip(a)]. given #5046 (H,wt=21): 5357 a(x,y,x * (x \ (z \ (x * y)))) = a(y \ T(z,x),y,x). [hyper(306,a,5350,a,b,5356,a),flip(a)]. given #5047 (H,wt=17): 5358 a(x \ T(y,z),x,z) = a(z,x,y \ (z * x)). [para(10(a,1),5357(a,1,3)),flip(a)]. given #5048 (H,wt=15): 5359 a(x \ T(y,z),x,z) = a(x \ y,x,z). [hyper(306,a,5227,a(flip),b,5358,a),flip(a)]. given #5049 (H,wt=15): 5361 a(x \ (y * z),x,z) = a(x \ y,x,z). [hyper(64,a,5350,a(flip),b,5359,a)]. given #5050 (H,wt=16): 5362 a(R(x,y,z),y,z) = a(y \ (y * x),y,z). [hyper(64,a,4615,a(flip),b,5361,a)]. given #5051 (H,wt=12): 5363 a(R(x,y,z),y,z) = a(x,y,z). [para(9(a,1),5362(a,2,1))]. given #5052 (H,wt=13): 5364 a(x,y,y \ (z \ y)) = a(z,y,x). [hyper(64,a,5317,a(flip),b,5363,a)]. given #5053 (H,wt=11): 5366 a(x,y,y \ 1) = a(y,y,x). [para(67(a,1),5364(a,1,3,2))]. given #5054 (H,wt=11): 5368 a(x,x,y \ 1) = a(y,x,x). [hyper(5274,a,5366,a),flip(a)]. given #5055 (H,wt=11): 5369 a(x \ 1,y,y) = a(y,y,x). [hyper(5273,a,5366,a)]. given #5056 (H,wt=11): 5377 a(x,x,y) \ 1 = a(y,x,x). [para(5366(a,1),5255(a,1,1))]. given #5057 (H,wt=11): 5378 x * a(x,y,y) = R(x,y,y). [hyper(121,a,5368,a(flip),b,5238,a(flip))]. given #5058 (H,wt=11): 5380 x * a(x,y,y) = L(x,y,y). [hyper(306,a,4098,a,b,5378,a),flip(a)]. given #5059 (H,wt=12): 5381 x \ ((x \ 1) \ y) = L(y,x,x). [hyper(64,a,5262,a,b,5380,a)]. given #5060 (H,wt=12): 5382 L(x * y,x,x) = (x \ 1) \ y. [hyper(64,a,5270,a(flip),b,5380,a),flip(a)]. given #5061 (H,wt=12): 5383 x * L(y,x,x) = (x \ 1) \ y. [hyper(121,a,5380,a(flip),b,5262,a)]. given #5062 (H,wt=12): 5384 (x \ 1) \ (x \ y) = L(y,x,x). [hyper(64,a,2357,a,b,5381,a)]. given #5063 (H,wt=12): 5385 L(x,y,y) * y = x / (y \ 1). [hyper(120,a,5381,a(flip),b,2058,a)]. given #5064 (H,wt=12): 5386 L((x \ 1) * y,x,x) = x \ y. [para(9(a,1),5381(a,1,2)),flip(a)]. given #5065 (H,wt=12): 5390 L(x,y,y) \ (x / (y \ 1)) = y. [hyper(125,a,5385,a)]. given #5066 (H,wt=12): 5392 R((x \ 1) * y,x,x) = x \ y. [hyper(64,a,4097,a,b,5386,a)]. given #5067 (H,wt=13): 5367 a(x,x,y \ (x \ 1)) = a(y,x,x). [hyper(5275,a,5366,a),flip(a)]. given #5068 (H,wt=13): 5370 x \ L(x,y,y \ 1) = a(y,y,x). [hyper(2157,a,5366,a)]. given #5069 (H,wt=13): 5371 1 \ a(x,y,y \ 1) = a(y,y,x). [hyper(118,a,5366,a,b,7,a)]. given #5070 (H,wt=14): 5365 a(x,y,L(z \ 1,z,y)) = a(z,y,x). [hyper(4598,a,5364,a)]. given #5071 (H,wt=13): 5396 a(x \ y,x,z) = a(z,x,y \ x). [para(462(a,1),5365(a,1,3)),flip(a)]. given #5072 (H,wt=13): 5397 a(x \ (y \ x),x,z) = a(z,x,y). [hyper(306,a,4303,a(flip),b,5396,a),flip(a)]. given #5073 (H,wt=11): 5400 a(x \ y,y,y) = a(y,y,x). [hyper(64,a,5271,a(flip),b,5397,a)]. given #5074 (H,wt=13): 5398 a(x \ (x / y),x,z) = a(z,x,y). [para(78(a,1),5396(a,2,3))]. given #5075 (H,wt=14): 5375 (x * y) \ a(y,y,x) = y \ (x \ 1). [hyper(118,a,5366,a(flip),b,3769,a)]. given #5076 (H,wt=14): 5395 L(a(x,y,z \ 1),z,y) = a(z,y,x). [hyper(64,a,5310,a(flip),b,5365,a)]. given #5077 (H,wt=15): 5372 a(x * y,z,z \ 1) = a(z,z,y * x). [hyper(64,a,4930,a,b,5366,a)]. given #5078 (H,wt=15): 5374 a(T(x,y),T(x,y),z) = a(z,x,x \ 1). [hyper(64,a,3329,a(flip),b,5366,a),flip(a)]. given #5079 (H,wt=14): 5402 a(x,y,y \ 1) != z | a(y,y,x) = z. [para(5374(a,1),3266(a,1))]. given #5080 (H,wt=16): 5403 x \ L(x,y,y \ 1) != z | a(y,y,x) = z. [para(2137(a,2),5402(a,1))]. given #5081 (H,wt=16): 5404 a(x \ K(y,z),y,y) != u | a(y,y,x) = u. [para(5258(a,2),5402(a,1))]. given #5082 (H,wt=16): 5405 a(x,x,y * z) != u | a(x,x,z * y) = u. [para(5372(a,1),5402(a,1))]. given #5083 (H,wt=17): 5376 L(x,x \ 1,y \ 1) = (x \ 1) \ a(x,x,y). [para(5366(a,1),4572(a,1,2)),flip(a)]. given #5084 (H,wt=17): 5401 L(x,y,z) != a(y,z,u) | a(u,z,y \ 1) = x. [para(5395(a,1),51(a,1)),flip(a)]. given #5085 (H,wt=18): 5389 L(L((x \ 1) * y,z,u),x,x) = L(x \ y,z,u). [hyper(35,a,1425,a(flip),b,5383,a),flip(a)]. given #5086 (H,wt=12): 5407 L((x \ 1) * y,x,y) = x \ y. [hyper(42,a,3187,a(flip),b,5389,a),flip(a)]. given #5087 (H,wt=18): 5391 L(L(x * (y \ 1),z,u),y,y) = L(x / y,z,u). [hyper(36,a,1424,a(flip),b,5385,a),flip(a)]. given #5088 (H,wt=19): 5387 (x \ 1) \ (L(y,x,x) \ y) = L(x,x \ 1,y \ 1). [para(5381(a,1),5006(a,1,2,1))]. given #5089 (H,wt=11): 5409 L(x,y,y) \ x = a(y,y,x). [hyper(39,a,5376,a(flip),b,5387,a),flip(a)]. given #5090 (H,wt=11): 5410 a(x,x,y) * L(y,x,x) = y. [hyper(120,a,5409,a(flip),b,835,a)]. given #5091 (H,wt=19): 5399 L(a(x \ (y \ x),x,z),u,w) = a(L(z,u,w),x,y). [hyper(64,a,5310,a(flip),b,5397,a)]. given #5092 (H,wt=15): 5411 a(L(x,y,z),u,w) = L(a(x,u,w),y,z). [para(5397(a,1),5399(a,1,1)),flip(a)]. given #5093 (H,wt=12): 5414 L(a(x,y,z),u,x) = a(x,y,z). [para(757(a,1),5411(a,1,1)),flip(a)]. given #5094 (H,wt=11): 5416 a(x,x \ 1,a(x,y,z)) = 1. [hyper(117,a,5414,a,b,1103,a),flip(a)]. given #5095 (H,wt=11): 5422 a(x,x \ 1,a(y,z,x)) = 1. [para(5225(a,1),5416(a,1,3))]. given #5096 (H,wt=12): 5417 a(x,y,L(z,u,x)) = a(x,y,z). [hyper(64,a,5310,a,b,5414,a)]. given #5097 (H,wt=12): 5427 a(x,y,R(z,u,x)) = a(x,y,z). [para(4097(a,2),5417(a,1,3))]. given #5098 (H,wt=15): 5412 a(L(x,y,z),u,w) = a(x,u,L(w,y,z)). [hyper(306,a,5310,a,b,5411,a),flip(a)]. given #5099 (H,wt=12): 5429 a(L(x,y,z),u,z) = a(x,u,z). [para(757(a,1),5412(a,2,3))]. given #5100 (H,wt=15): 5419 (x \ 1) * a(x,y,z) = x \ a(x,y,z). [hyper(121,a,5414,a(flip),b,5384,a)]. given #5101 (H,wt=15): 5430 a(x,y,L(z,u,R(x,w,v5))) = a(x,y,z). [para(765(a,1),5412(a,1,1)),flip(a)]. given #5102 (H,wt=15): 5431 a(L(x,y,R(z,u,w)),v5,z) = a(x,v5,z). [para(765(a,1),5412(a,2,3))]. given #5103 (H,wt=15): 5433 a(L(x,y,z),u,w) = a(x,u,R(w,y,z)). [para(4097(a,2),5412(a,2,3))]. given #5104 (H,wt=15): 5440 a(R(x,y,z),u,w) = a(x,u,R(w,y,z)). [para(4097(a,2),5433(a,1,1))]. given #5105 (H,wt=15): 5441 a(x,R(x,y,z),u) = a(x,x,R(u,y,z)). [hyper(2518,a,5440,a)]. given #5106 (H,wt=15): 5442 a(R(x,y,z),u,w) = R(a(x,u,w),y,z). [hyper(306,a,5309,a(flip),b,5440,a),flip(a)]. given #5107 (H,wt=17): 5423 (x \ a(y,z,x)) \ 1 = (a(y,z,x) \ 1) * x. [hyper(118,a,5422,a(flip),b,4498,a)]. given #5108 (H,wt=15): 5444 (x \ 1) * a(y,z,x) = x \ a(y,z,x). [hyper(572,a,5423,a)]. given #5109 (H,wt=15): 5445 a(x,y,z) \ (a(x,y,z) / (z \ 1)) = z. [hyper(922,a,5444,a(flip))]. given #5110 (H,wt=17): 5425 a(x,y,(x * z) \ u) = a(x,y,z \ (x \ u)). [para(293(a,1),5417(a,1,3))]. given #5111 (H,wt=17): 5426 a(x,y,z \ (x \ ((x * z) * u))) = a(x,y,u). [para(590(a,1),5417(a,1,3)),flip(a)]. given #5112 (H,wt=17): 5432 a(x,y,L(z,x,x * u)) = a(L(x,x,u),y,z). [para(2466(a,1),5412(a,1,1)),flip(a)]. given #5113 (H,wt=17): 5450 a(x,y,L(z,x,x * u)) = a(x,y,L(z,x,u)). [hyper(306,a,5412,a(flip),b,5432,a),flip(a)]. given #5114 (H,wt=19): 5434 a((x \ 1) * y,z,x \ 1) = a(x \ y,z,x \ 1). [para(719(a,1),5429(a,1,1))]. given #5115 (H,wt=19): 5435 a((x \ y) \ 1,z,y \ 1) = a(y \ x,z,y \ 1). [para(1299(a,1),5429(a,1,1))]. given #5116 (H,wt=19): 5443 a(R(x \ 1,y,z),u,u) = a(R(x,y,z),u,u \ 1). [hyper(5277,a,5442,a(flip))]. given #5117 (H,wt=19): 5448 a(x,x \ 1,(x * y) \ z) = a(x,x \ 1,y \ z). [hyper(306,a,4491,a(flip),b,5425,a),flip(a)]. given #5118 (H,wt=19): 5453 a(R(x \ 1,y,z),u,u \ 1) = a(R(x,y,z),u,u). [para(326(a,1),5443(a,1,1,1)),flip(a)]. given #5119 (H,wt=17): 5456 a(x,x,R(y \ 1,z,u)) = a(R(y,z,u),x,x). [hyper(5402,a,5453,a)]. given #5120 (H,wt=20): 5406 L(x,x \ 1,y \ 1) != (x \ 1) \ z | a(x,x,y) = z. [para(5376(a,2),48(a,1))]. given #5121 (H,wt=20): 5408 L((x \ 1) * (x * (y / x)),x,y) = x \ (x * (y / x)). [hyper(3171,a,5407,a)]. given #5122 (H,wt=16): 5457 L(x * (y \ 1),y,x) = y \ (y * (x / y)). [para(2055(a,1),5408(a,1,1))]. given #5123 (H,wt=12): 5458 L(x * (y \ 1),y,x) = x / y. [hyper(2351,a,5457,a,b,2994,a)]. given #5124 (H,wt=15): 5460 a(x,y,x * (z \ 1)) = a(x,y,x / z). [para(5458(a,1),5417(a,1,3)),flip(a)]. given #5125 (H,wt=15): 5461 a(x,y,x * (z \ 1)) = a(x,y,z \ x). [hyper(306,a,4629,a(flip),b,5460,a),flip(a)]. given #5126 (H,wt=20): 5420 (x * y) * a(x,z,u) != w | x * (y * a(x,z,u)) = w. [para(5414(a,1),285(a,1,2))]. given #5127 (H,wt=20): 5454 a(R(x \ 1,y,z),u,u) != w | a(u,u,R(x,y,z)) = w. [para(5443(a,2),5402(a,1))]. given #5128 (H,wt=20): 5455 a(x,x \ 1,L(y,x,z)) = a(x,x \ 1,z \ (z * y)). [hyper(4503,a,5448,a)]. given #5129 (H,wt=16): 5463 a(x,x \ 1,L(y,x,z)) = a(x,x \ 1,y). [para(9(a,1),5455(a,2,3))]. given #5130 (H,wt=14): 5464 a(L(x,y,z),y,y) = a(y,y \ 1,x). [hyper(5266,a,5463,a)]. given #5131 (H,wt=12): 5465 a(L(x,y,z),y,y) = a(x,y,y). [hyper(306,a,5243,a(flip),b,5464,a),flip(a)]. given #5132 (H,wt=21): 5373 a(R(x \ y,z,u),w,w \ 1) = a(w,w,R(y / x,z,u)). [hyper(64,a,4931,a(flip),b,5366,a)]. given #5133 (H,wt=19): 5466 a(x,x,R(y / z,u,w)) = a(x,x,R(z \ y,u,w)). [hyper(5402,a,5373,a),flip(a)]. given #5134 (H,wt=21): 5415 a(a(x,y,L(z,u,w)),v5,v6) = L(a(a(x,y,z),v5,v6),u,w). [para(5310(a,2),5411(a,1,1))]. given #5135 (H,wt=21): 5428 a(x,y,T(z / u,x * z)) = a(x,y,(u * x) \ (z * x)). [para(1554(a,1),5427(a,1,3)),flip(a)]. given #5136 (H,wt=21): 5437 (x \ y) \ a(x \ y,x,x) = ((x \ y) \ 1) * a(y,x,x). [para(5271(a,1),5419(a,1,2)),flip(a)]. given #5137 (H,wt=19): 5468 ((x \ y) \ 1) * a(y,x,x) = (x \ y) \ a(y,x,x). [para(5271(a,1),5437(a,1,2)),flip(a)]. given #5138 (H,wt=16): 5469 ((x \ y) \ 1) * a(y,x,x) = (y \ 1) * x. [hyper(306,a,5259,a(flip),b,5468,a),flip(a)]. given #5139 (H,wt=22): 5388 (x \ 1) \ (R(x,y,z) * (x \ u)) = L(R(x,y,z) * u,x,x). [para(1445(a,1),5382(a,1,1)),flip(a)]. given #5140 (H,wt=22): 5446 (x \ 1) \ a(y,z,x \ 1) != u | x * a(y,z,x \ 1) = u. [para(5444(a,1),673(a,1))]. given #5141 (H,wt=13): 5471 x * a(y,x,x \ 1) = L(x,x,y). [hyper(5446,a,5297,a)]. given #5142 (H,wt=11): 5473 x * a(x,x,y) = L(x,x,y). [para(5366(a,1),5471(a,1,2))]. given #5143 (H,wt=11): 5474 x \ L(x,x,y) = a(x,x,y). [hyper(125,a,5473,a)]. given #5144 (H,wt=13): 5472 L(x,x,y \ x) = x * a(y,x,x). [para(5254(a,1),5471(a,1,2)),flip(a)]. given #5145 (H,wt=20): 5476 (x * L(y,y,z \ y)) / L(a(z,y,y),y,x) = x * y. [para(5472(a,2),186(a,1,1,2))]. given #5146 (H,wt=20): 5478 (x * L(y,y,z \ y)) / a(L(z,y,x),y,y) = x * y. [para(5281(a,2),5476(a,1,2))]. given #5147 (H,wt=17): 5479 (x * L(y,y,z \ y)) / a(z,y,y) = x * y. [para(5465(a,1),5478(a,1,2))]. given #5148 (H,wt=17): 5480 (x / y) * L(y,y,z \ y) = x * a(z,y,y). [hyper(308,a,5479,a),flip(a)]. given #5149 (H,wt=17): 5482 (x * L(y,y,z \ y)) / y = x * a(z,y,y). [hyper(64,a,2457,a,b,5480,a)]. given #5150 (H,wt=17): 5483 L(x,x,y \ x) * z = x * (z * a(y,x,x)). [para(5480(a,1),3894(a,1,2)),flip(a)]. given #5151 (H,wt=20): 5484 (x * L(y,y,z \ y)) / u != x * a(z,y,y) | y = u. [para(5482(a,1),46(a,1)),flip(a)]. given #5152 (H,wt=22): 5451 a(x \ y,x \ 1,x \ 1) != z | a(y,x \ 1,x \ 1) = z. [para(5434(a,1),5278(a,1))]. given #5153 (H,wt=22): 5467 a(x,x,R(y / z,u,w)) != v5 | a(x,x,R(z \ y,u,w)) = v5. [para(5373(a,1),5402(a,1))]. given #5154 (H,wt=22): 5470 R(x,y,z) * ((x \ 1) \ (x \ u)) = L(R(x,y,z) * u,x,x). [hyper(64,a,3532,a(flip),b,5388,a)]. given #5155 (H,wt=19): 5486 L(R(x,y,z) * u,x,x) = R(x,y,z) * L(u,x,x). [para(5384(a,1),5470(a,1,2)),flip(a)]. given #5156 (H,wt=23): 5333 a(x,y,L(x * (z \ 1),z,u)) = a(x,y,x * (z \ a(u,z,z))). [para(5242(a,1),5332(a,2,3,2))]. given #5157 (H,wt=23): 5355 (x * a(x,y,L(z,u,x))) * u = x * (a(x,y,R(z,x,u)) * u). [para(5309(a,2),5312(a,2,2,1))]. given #5158 (H,wt=20): 5487 x * (a(x,y,R(z,x,u)) * u) = (x * a(x,y,z)) * u. [para(5417(a,1),5355(a,1,1,2)),flip(a)]. given #5159 (H,wt=20): 5488 x * (a(x,y,L(z,x,u)) * u) = (x * a(x,y,z)) * u. [para(4097(a,1),5487(a,1,2,1,3))]. given #5160 (H,wt=23): 5438 a((R(x,y,z) \ u) \ w,v5,x) = a(u \ (R(x,y,z) * w),v5,x). [para(605(a,1),5431(a,1,1)),flip(a)]. given #5161 (H,wt=23): 5447 a(R(x \ 1,a(y,z,x),u),a(y,z,x),u) = a(u,a(y,z,x),x). [para(5445(a,1),5316(a,2,3))]. given #5162 (H,wt=17): 5491 a(x \ 1,a(y,z,x),u) = a(u,a(y,z,x),x). [hyper(64,a,5363,a(flip),b,5447,a)]. given #5163 (H,wt=17): 5492 a(x \ 1,a(y,z,x),u) = a(u,x,a(y,z,x)). [hyper(306,a,5313,a(flip),b,5491,a),flip(a)]. given #5164 (H,wt=23): 5452 a(x \ y,y \ 1,(y \ 1) \ 1) = a(y \ x,y \ 1,y \ 1). [hyper(5260,a,5435,a)]. given #5165 (H,wt=19): 5493 a(x \ y,x \ 1,x \ 1) = a(y \ x,x \ 1,x). [hyper(4596,a,5452,a),flip(a)]. given #5166 (H,wt=19): 5494 a(x \ y,x \ 1,x \ 1) = a(y \ x,x,x \ 1). [hyper(306,a,2341,a(flip),b,5493,a),flip(a)]. given #5167 (H,wt=15): 5495 a(x \ y,x \ 1,x \ 1) = a(y,x,x). [hyper(306,a,5254,a(flip),b,5494,a),flip(a)]. given #5168 (H,wt=13): 5496 a(x,y \ 1,y \ 1) = a(x,y,y). [hyper(5451,a,5495,a)]. given #5169 (H,wt=19): 5497 a(x,y \ 1,R(y \ 1,z,u)) = a(R(x,z,u),y,y). [hyper(64,a,5440,a(flip),b,5496,a)]. given #5170 (H,wt=19): 5498 L(x \ 1,x \ 1,y \ (x \ 1)) = x \ a(y,x,x). [para(5496(a,1),5306(a,2,2))]. given #5171 (H,wt=19): 5499 a(x,y \ 1,R(y \ 1,z,u)) = a(x,y,R(y,z,u)). [hyper(306,a,5440,a(flip),b,5497,a),flip(a)]. given #5172 (H,wt=19): 5500 L(x \ 1,x \ 1,y \ (x \ 1)) = L(x \ 1,x,y). [hyper(306,a,5242,a,b,5498,a),flip(a)]. given #5173 (H,wt=25): 5279 L(L(x,x \ 1,y \ 1),a(y,x,x),z) = (z * a(y,x,x)) \ (z * x). [para(5265(a,2),95(a,1,1))]. given #5174 (H,wt=25): 5334 a(x,y,L(x * L(z,u,w),v5,v6)) = L(a(x,y,L(x * z,u,w)),v5,v6). [para(5332(a,2),5310(a,2,1))]. given #5175 (H,wt=25): 5354 T(x * R(x \ 1,y,z),u) = a(z,y,y \ (((y * z) * T(x,u)) * z)). [hyper(306,a,2661,a(flip),b,5346,a)]. given #5176 (H,wt=21): 5503 a(x,y,y \ (((y * x) * T(z,u)) * x)) = T(a(x,y,z),u). [para(5232(a,2),5354(a,1,1)),flip(a)]. given #5177 (H,wt=13): 5504 a(x,y,T(z,u)) = T(a(x,y,z),u). [hyper(5348,a,5503,a)]. given #5178 (H,wt=11): 5508 a(x,y,T(y,z)) = a(x,y,y). [hyper(306,a,4884,a(flip),b,5504,a),flip(a)]. given #5179 (H,wt=13): 5506 a(T(x,y),z,u) = a(x,z,T(u,y)). [hyper(306,a,4760,a,b,5504,a)]. given #5180 (H,wt=13): 5509 a(x,y,T(T(y,z),z)) = a(x,y,y). [para(4101(a,2),5508(a,1,3))]. given #5181 (H,wt=13): 5516 a(x,T(y,z),T(y,z)) = a(x,y,y). [hyper(64,a,3776,a,b,5509,a)]. given #5182 (H,wt=15): 5512 a(x,y,T(z,x * u)) = a(T(x,u),y,z). [para(414(a,1),5506(a,1,1)),flip(a)]. given #5183 (H,wt=16): 5505 T(a(x,y,z),u) != w | a(x,y,T(z,u)) = w. [para(5503(a,1),5348(a,1))]. given #5184 (H,wt=16): 5520 a(T(x,y),z,u) != w | a(x,z,T(u,y)) = w. [para(4760(a,2),5505(a,1))]. given #5185 (H,wt=17): 5515 a(x \ y,z,T(u,x \ 1)) = a(y / x,z,u). [para(2066(a,1),5506(a,1,1)),flip(a)]. given #5186 (H,wt=18): 5510 a(x,y,T(L(z,x,y),u)) = a(T(x,u),y,x * z). [hyper(64,a,5327,a(flip),b,5506,a),flip(a)]. given #5187 (H,wt=18): 5521 a(x,y,T(z,x * u)) != w | a(x,y,T(z,u)) = w. [para(5512(a,2),5520(a,1))]. given #5188 (H,wt=18): 5522 a(x,y,L(T(z,u),x,y)) = a(T(x,u),y,x * z). [para(25(a,2),5510(a,1,3))]. given #5189 (H,wt=17): 5524 a(T(x,y),z,x * u) = a(x,z,x * T(u,y)). [hyper(5321,a,5522,a),flip(a)]. given #5190 (H,wt=19): 5518 a(x,T(y,z),R(T(y,z),u,w)) = a(R(x,u,w),y,y). [hyper(64,a,5440,a(flip),b,5516,a)]. given #5191 (H,wt=19): 5523 a(x,y,T(z / u,z)) = a(x,y,(u * x) \ (z * x)). [hyper(5521,a,5428,a)]. given #5192 (H,wt=17): 5527 a(x,y,(z * x) \ (u * x)) = a(x,y,z \ u). [para(400(a,1),5523(a,1,3)),flip(a)]. given #5193 (H,wt=19): 5526 a(x,T(y,z),R(T(y,z),u,w)) = a(x,y,R(y,u,w)). [hyper(306,a,5440,a(flip),b,5518,a),flip(a)]. given #5194 (H,wt=20): 5519 T(a(x,y,z),u * w) != v5 | a(x,y,T(z,w * u)) = v5. [para(1479(a,1),5505(a,1))]. given #5195 (H,wt=20): 5525 a(x,y,x * T(z,u)) != w | a(x,y,T(x * z,u)) = w. [para(5524(a,1),5520(a,1))]. given #5196 (H,wt=21): 5528 a(T(x,y),y,R(y,z,u)) = a(x,T(y,w),R(T(y,w),z,u)). [hyper(4586,a,5526,a),flip(a)]. given #5197 (H,wt=22): 5530 a(x,T(y,z),R(T(y,z),u,w)) != v5 | a(x,y,R(y,u,w)) = v5. [para(5528(a,1),4585(a,1))]. given #5198 (H,wt=18): 5531 a(R(x,y,z),u,u) != w | a(x,u,R(u,y,z)) = w. [para(5518(a,1),5530(a,1))]. given #5199 (H,wt=25): 5501 L(L(x,a(y,x,x),z),x \ 1,y \ 1) = (z * a(y,x,x)) \ (z * x). [hyper(64,a,30,a,b,5279,a)]. given #5200 (H,wt=25): 5502 a(x,y,L(L(x * z,u,w),v5,v6)) = a(x,y,L(x * L(z,u,w),v5,v6)). [hyper(306,a,5310,a,b,5334,a)]. given #5201 (H,wt=26): 5394 x \ (((x \ 1) \ y) * L(x \ 1,z,u)) = R(y * L(x \ 1,z,u),x,x). [para(1088(a,1),5392(a,1,1)),flip(a)]. given #5202 (H,wt=26): 5449 a(x,y,(z * x) \ (x \ ((x * z) * u))) = a(x,y,L(x \ u,x,x * z)). [para(797(a,1),5425(a,1,3)),flip(a)]. given #5203 (H,wt=24): 5534 a(x,y,(z * x) \ (x \ ((x * z) * u))) = a(x,y,L(x \ u,x,z)). [hyper(306,a,5450,a(flip),b,5449,a),flip(a)]. given #5204 (H,wt=26): 5475 L(T(x,a(x,x,y)),a(x,x,y),z) = (z * a(x,x,y)) \ (z * L(x,x,y)). [para(5473(a,1),224(a,1,2,2)),flip(a)]. given #5205 (H,wt=21): 5535 (x * a(y,y,z)) \ (x * L(y,y,z)) = L(y,a(y,y,z),x). [para(3393(a,1),5475(a,1,1)),flip(a)]. given #5206 (H,wt=26): 5529 (L(x,y,z) * (z * y)) \ (x * (z * y)) != u | a(z,y,T(x,y * z)) = u. [para(3608(a,2),5519(a,1))]. given #5207 (H,wt=26): 5533 (x \ ((x \ 1) \ y)) * L(x \ 1,z,u) = R(y * L(x \ 1,z,u),x,x). [hyper(64,a,2364,a(flip),b,5394,a)]. given #5208 (H,wt=23): 5536 R(x * L(y \ 1,z,u),y,y) = L(x,y,y) * L(y \ 1,z,u). [para(5381(a,1),5533(a,1,1)),flip(a)]. given #5209 (H,wt=23): 5537 L(x * L(y \ 1,z,u),y,y) = L(x,y,y) * L(y \ 1,z,u). [hyper(64,a,4098,a,b,5536,a)]. given #5210 (H,wt=27): 5247 x * (R(x * L(x \ 1,x,y),z,u) * w) = R(a(y,x,x),z,u) * (x * w). [para(5239(a,1),4785(a,1,1,1)),flip(a)]. given #5211 (H,wt=27): 5439 a(R((R(x,y,z) / u) \ 1,w,v5),v6,x) = a(R(u / R(x,y,z),w,v5),v6,x). [para(994(a,1),5431(a,1,1)),flip(a)]. given #5212 (H,wt=27): 5532 L(L(x,a(y,x,x),z),x \ 1,y \ 1) = (z * a(x,x \ 1,y)) \ (z * x). [para(5243(a,2),5501(a,2,1,2))]. given #5213 (H,wt=27): 5539 x * (R(x * L(x \ 1,x,y),z,u) * w) = a(y,x,R(x,z,u)) * (x * w). [para(5309(a,2),5247(a,2,1))]. given #5214 (H,wt=23): 5542 a(x,y,R(y,z,u)) * (y * w) = y * (R(a(x,y,y),z,u) * w). [para(5239(a,1),5539(a,1,2,1,1)),flip(a)]. given #5215 (H,wt=23): 5543 a(x,y,R(y,z,u)) * (y * w) = y * (a(x,y,R(y,z,u)) * w). [para(5309(a,2),5542(a,2,2,1))]. given #5216 (H,wt=27): 5540 a(R((R(x,y,z) / u) \ 1,w,v5),x,x) = a(R(R(x,y,z) \ u,w,v5),x,x). [hyper(5335,a,5439,a(flip)),flip(a)]. given #5217 (H,wt=25): 5544 a(R(R(x,y,z) \ u,w,v5),x,x) = a(x,x,R(R(x,y,z) / u,w,v5)). [hyper(5454,a,5540,a),flip(a)]. given #5218 (H,wt=25): 5545 a(R(R(x,y,z) \ u,w,v5),x,x) = a(x,x,R(u \ R(x,y,z),w,v5)). [hyper(306,a,5466,a(flip),b,5544,a),flip(a)]. given #5219 (H,wt=28): 5379 a((x * y) \ (a(z,z,u) \ (x * y)),x,y) = R(a(u,z,z),x,y) * a(z,z,u). [para(5377(a,1),4664(a,2,1,1))]. given #5220 (H,wt=28): 5477 (x * L(y,y,z \ y)) / L(T(y,a(z,y,y)),a(z,y,y),x) = x * a(z,y,y). [para(5472(a,2),587(a,1,1,2))]. given #5221 (H,wt=23): 5548 (x * L(y,y,z \ y)) / L(y,a(z,y,y),x) = x * a(z,y,y). [para(2553(a,1),5477(a,1,2,1))]. given #5222 (H,wt=9): 5549 L(x,a(y,x,x),z) = x. [hyper(5484,a,5548,a),flip(a)]. given #5223 (H,wt=9): 5550 R(x,a(y,x,x),z) = x. [hyper(64,a,4097,a,b,5549,a)]. given #5224 (H,wt=9): 5551 L(x,a(x,x,y),z) = x. [para(5230(a,1),5549(a,1,2))]. given #5225 (H,wt=11): 5552 R(x,a(y,x,x \ 1),z) = x. [para(5251(a,1),5550(a,1,2))]. given #5226 (H,wt=15): 5553 (x * a(y,y,z)) \ (x * L(y,y,z)) = y. [hyper(64,a,5535,a,b,5551,a)]. given #5227 (H,wt=15): 5554 a(L(x,a(y,y,z),u),w,y) = a(x,w,y). [para(5551(a,1),5412(a,2,3))]. given #5228 (H,wt=15): 5556 (x / y) * L(y,y,z) = x * a(y,y,z). [hyper(2464,a,5553,a)]. given #5229 (H,wt=19): 5555 a(x,y,y \ 1) * (y \ z) = L(y,y \ 1,x) \ z. [para(5552(a,1),4641(a,1,1,1)),flip(a)]. given #5230 (H,wt=19): 5559 L(x,x \ 1,y \ 1) \ z = a(y,x,x) * (x \ z). [para(5250(a,1),5555(a,1,1)),flip(a)]. given #5231 (H,wt=19): 5560 L(x,x \ 1,y \ 1) * z = x * (a(y,x,x) \ z). [hyper(665,a,5559,a)]. given #5232 (H,wt=15): 5562 x * (a(y,x,x) \ z) = L(x,x,y) * z. [para(5292(a,1),5560(a,1,1)),flip(a)]. given #5233 (H,wt=15): 5563 (x / y) * L(y,y,z) = a(z,y,y) \ x. [hyper(35,a,3894,a,b,5562,a)]. given #5234 (H,wt=13): 5565 a(x,y,y) \ z = z * a(y,y,x). [hyper(64,a,5556,a(flip),b,5563,a),flip(a)]. given #5235 (H,wt=13): 5566 a(x,y,y) * (z * a(y,y,x)) = z. [hyper(121,a,5556,a(flip),b,5563,a(flip))]. given #5236 (H,wt=13): 5567 x \ (a(y,z,z) \ x) = a(z,z,y). [hyper(118,a,5563,a(flip),b,5556,a(flip))]. given #5237 (H,wt=13): 5568 x / a(y,y,z) = a(z,y,y) * x. [hyper(667,a,5565,a),flip(a)]. given #5238 (H,wt=13): 5569 a(x,y,y) \ z = a(y,y,x) * z. [hyper(306,a,4917,a,b,5565,a),flip(a)]. given #5239 (H,wt=13): 5570 (x * a(y,z,z)) * a(z,z,y) = x. [hyper(4885,a,5566,a),flip(a)]. given #5240 (H,wt=13): 5574 a(x,x,y) \ z = a(y,x,x) * z. [hyper(4920,a,5568,a)]. given #5241 (H,wt=13): 5576 a(x,x,y) \ z = z * a(y,x,x). [hyper(118,a,5570,a(flip),b,4917,a)]. given #5242 (H,wt=15): 5564 L(x,x,y) * (x \ z) = a(y,x,x) \ z. [hyper(35,a,1596,a,b,5562,a)]. given #5243 (H,wt=15): 5573 a(a(x,y,y),z,u) = a(u,z,a(y,y,x)). [para(5567(a,1),5364(a,1,3)),flip(a)]. given #5244 (H,wt=15): 5575 a(x,y,y \ 1) * z = a(x,y,y) \ z. [para(5366(a,2),5569(a,2,1)),flip(a)]. given #5245 (H,wt=15): 5578 a(x,y,y \ 1) \ z = z * a(x,y,y). [para(5366(a,2),5576(a,1,1))]. given #5246 (H,wt=15): 5579 x \ (a(y,x,x) * z) = L(x,x,y) \ z. [hyper(118,a,9,a(flip),b,5564,a),flip(a)]. given #5247 (H,wt=15): 5580 (L(x,x,y) \ z) / (x \ z) = a(y,x,x). [hyper(1606,a,5564,a(flip))]. given #5248 (H,wt=16): 5571 a(x,x,y) != z \ u | a(y,x,x) \ z = u. [para(5567(a,1),48(a,1))]. given #5249 (H,wt=16): 5572 x * a(y,y,z) != u | a(z,y,y) \ x = u. [para(5567(a,1),262(a,1,2)),flip(b)]. given #5250 (H,wt=17): 5584 L(x,x,y \ 1) \ z = a(x,x,y) * (x \ z). [hyper(120,a,5369,a(flip),b,5580,a),flip(a)]. given #5251 (H,wt=19): 5561 L(x,x \ 1,y \ 1) \ z = (x \ z) * a(y,x,x). [hyper(306,a,4883,a(flip),b,5559,a),flip(a)]. given #5252 (H,wt=15): 5586 (x \ y) * a(z,x,x) = L(x,x,z) \ y. [para(5292(a,1),5561(a,1,1)),flip(a)]. given #5253 (H,wt=15): 5587 (L(x,x,y) \ z) * a(x,x,y) = x \ z. [para(5586(a,1),5570(a,1,1))]. given #5254 (H,wt=19): 5581 a(a(x,y,y),z,z \ u) = a(a(y,y,x),z,u \ z). [hyper(306,a,5396,a(flip),b,5573,a),flip(a)]. given #5255 (H,wt=20): 5577 (x * y) / (x * (y * a(z,u,u))) = a(u,u,L(z,y,x)). [hyper(196,a,5283,a(flip),b,5576,a)]. given #5256 (H,wt=18): 5588 (x * y) / (x * L(y,z,z)) = a(z,z,L(y,y,x)). [para(5380(a,1),5577(a,1,2,2))]. given #5257 (H,wt=21): 5589 (R(x,y,z) * u) / (R(x,y,z) * L(u,x,x)) = a(x,x,u). [hyper(306,a,5430,a(flip),b,5588,a),flip(a)]. given #5258 (H,wt=21): 5590 (R(x,y,z) * u) / L(R(x,y,z) * u,x,x) = a(x,x,u). [para(5486(a,2),5589(a,1,2))]. given #5259 (H,wt=21): 5591 L(R(x,y,z) * u,x,x) \ (R(x,y,z) * u) = a(x,x,u). [hyper(929,a,5590,a)]. given #5260 (H,wt=14): 5592 a(x,x,R(x,y,z) * u) = a(x,x,u). [hyper(64,a,5409,a(flip),b,5591,a)]. given #5261 (H,wt=14): 5593 a(x,x,R(x,y,z) \ u) = a(x,x,u). [para(10(a,1),5592(a,1,3)),flip(a)]. given #5262 (H,wt=15): 5594 a(x,x,(x \ y) * z) = a(x,x,y * z). [para(618(a,1),5593(a,1,3))]. given #5263 (H,wt=15): 5595 a(x,x,y * (x \ z)) = a(x,x,z * y). [hyper(5405,a,5594,a)]. given #5264 (H,wt=23): 5558 (x * a(y,y,z)) * a(u,y,y) = x * (a(y,y,z) * a(u,y,y)). [para(5554(a,1),5283(a,1,2))]. given #5265 (H,wt=12): 5596 a(x,a(y,y,z),a(u,y,y)) = 1. [hyper(117,a,5558,a(flip),b,81,a),flip(a)]. given #5266 (H,wt=12): 5597 a(x,a(y,y,z),a(y,y,u)) = 1. [para(5230(a,1),5596(a,1,3))]. given #5267 (H,wt=28): 5490 a((R(x,y,z) \ u) \ K(R(x,y,z),w),v5,x) = a(u \ T(R(x,y,z),w),v5,x). [para(1892(a,2),5438(a,2,1,2))]. given #5268 (H,wt=28): 5546 a(x,x,R(y \ R(x,z,u),w,v5)) != v6 | a(R(x,z,u) \ y,x,R(x,w,v5)) = v6. [para(5545(a,1),5531(a,1))]. given #5269 (H,wt=28): 5547 a((x * y) \ (a(z,z,u) \ (x * y)),x,y) = a(u,z,R(z,x,y)) * a(z,z,u). [para(5309(a,2),5379(a,2,1))]. given #5270 (H,wt=28): 5582 L(x,L(y,y,z),y \ (a(z,y,y) * 1)) = (L(y,y,z) \ 1) * (L(y,y,z) * x). [para(5579(a,2),714(a,2,3)),flip(a)]. given #5271 (H,wt=28): 5598 a((R(x,y,z) \ u) \ K(x,L(w,y,z)),v5,x) = a(u \ T(R(x,y,z),w),v5,x). [para(3852(a,1),5490(a,1,1,2))]. given #5272 (H,wt=21): 5601 a(x \ T(R(y,z,u),w),y,y) = a(y,y,R(y,z,u) \ x). [hyper(5404,a,5598,a),flip(a)]. given #5273 (H,wt=19): 5602 a(x \ R(y,z,u),y,y) = a(y,y,R(y,z,u) \ x). [para(105(a,1),5601(a,1,1,2))]. given #5274 (H,wt=14): 5603 a(x \ R(y,z,u),y,y) = a(y,y,x). [hyper(306,a,5593,a(flip),b,5602,a),flip(a)]. given #5275 (H,wt=28): 5599 a((x * y) \ (a(z,u,u) * (x * y)),x,y) = a(z,u,R(u,x,y)) * a(u,u,z). [para(5574(a,1),5547(a,1,1,2))]. given #5276 (H,wt=28): 5600 L(x,L(y,y,z),y \ (a(z,y,y) * 1)) = L(y \ 1,y,z) * (L(y,y,z) * x). [para(5300(a,2),5582(a,2,1))]. given #5277 (H,wt=28): 5605 a((x * y) \ (a(z,u,u) * (x * y)),x,y) = a(u,u,z) * a(z,u,R(u,x,y)). [hyper(306,a,4917,a,b,5599,a),flip(a)]. given #5278 (H,wt=20): 5606 a(x,x,y) * a(y,x,R(x,z,u)) = a(a(y,x,x),z,u). [hyper(64,a,3986,a(flip),b,5605,a),flip(a)]. given #5279 (H,wt=20): 5607 a(x,x,y) * R(a(y,x,x),z,u) = a(a(y,x,x),z,u). [para(5309(a,1),5606(a,1,2))]. given #5280 (H,wt=24): 5608 a(x,x,y) * R(a(y,x,x \ 1) \ 1,z,u) = a(a(y,x,x),z,u). [para(5255(a,2),5607(a,1,2,1))]. given #5281 (H,wt=26): 5609 a(x,y,y \ 1) * R(a(x,y,y \ 1) \ 1,z,u) = a(a(x,y,y),z,u). [para(5366(a,2),5608(a,1,1))]. given #5282 (H,wt=29): 5462 (L(x,y,z) \ 1) \ ((L(x,y,z) \ x) * u) = x * (u * a(x,L(x,y,z) \ 1,u)). [hyper(5420,a,4645,a(flip)),flip(a)]. given #5283 (H,wt=29): 5538 a(x,y,L(x,z,z) * L(z \ 1,u,w)) = a(x,y,x * L(L(z \ 1,u,w),z,z)). [para(5537(a,1),5332(a,1,3))]. given #5284 (H,wt=26): 5610 a(x,y,L(x,z,z) * L(z \ 1,u,w)) = a(x,y,x * L(z \ 1,u,w)). [para(2312(a,1),5538(a,2,3,2))]. given #5285 (H,wt=26): 5611 a(x,y,L(x,z,z) * L(z \ 1,u,w)) = a(x,y,L(x * (z \ 1),u,w)). [hyper(306,a,5332,a,b,5610,a),flip(a)]. given #5286 (H,wt=26): 5613 a(x,y,L(x * L(z \ 1,u,w),z,z)) = a(x,y,L(x * (z \ 1),u,w)). [para(5537(a,2),5611(a,1,3))]. given #5287 (H,wt=26): 5614 a(x,y,L(L(x * (z \ 1),u,w),z,z)) = a(x,y,L(x * (z \ 1),u,w)). [hyper(64,a,5502,a,b,5613,a)]. given #5288 (H,wt=21): 5615 a(x,y,L(x * (z \ 1),u,w)) = a(x,y,L(x / z,u,w)). [para(5391(a,1),5614(a,1,3)),flip(a)]. given #5289 (H,wt=21): 5616 a(x,y,L(x * (z \ 1),u,w)) = a(x,y,L(z \ x,u,w)). [hyper(306,a,4633,a(flip),b,5615,a),flip(a)]. given #5290 (H,wt=21): 5617 a(x,y,x * (z \ a(u,z,z))) = a(x,y,L(z \ x,z,u)). [hyper(64,a,5333,a(flip),b,5616,a)]. given #5291 (H,wt=26): 5618 a(x,y,x * ((z \ u) \ a(z,z \ u,z \ u))) = a(x,y,u \ (z * x)). [para(605(a,1),5617(a,2,3))]. given #5292 (H,wt=24): 5619 a(x,y,x * ((z \ u) \ a(z,z \ u,u))) = a(x,y,u \ (z * x)). [para(5217(a,1),5618(a,1,3,2,2))]. given #5293 (H,wt=17): 5620 a(x,y,z \ (u * x)) = a(x,y,x * (z \ u)). [para(5280(a,1),5619(a,1,3,2)),flip(a)]. given #5294 (H,wt=17): 5621 a(x,y,x * ((z * x) \ u)) = a(x,y,z \ u). [hyper(64,a,5527,a(flip),b,5620,a),flip(a)]. given #5295 (H,wt=29): 5541 L(L(x,a(x,x \ 1,y),z),x \ 1,y \ 1) = (z * a(x,x \ 1,y)) \ (z * x). [para(5243(a,2),5532(a,1,1,2))]. given #5296 (H,wt=29): 5583 (x \ 1) \ (a(y \ x,x \ 1,x \ 1) * z) = L(x \ 1,x \ 1,x / y) \ z. [para(3141(a,2),5579(a,2,1))]. given #5297 (H,wt=25): 5623 L(x \ 1,x \ 1,x / y) \ z = (x \ 1) \ (a(y \ x,x,x) * z). [para(5496(a,1),5583(a,1,2,1)),flip(a)]. given #5298 (H,wt=23): 5624 L(x \ 1,x \ 1,x / y) \ z = (x \ 1) \ (a(x,x,y) * z). [para(5400(a,1),5623(a,2,2,1))]. given #5299 (H,wt=23): 5625 L(x \ 1,x \ 1,y \ x) \ z = (x \ 1) \ (a(x,x,y) * z). [para(3141(a,1),5624(a,1,1))]. given #5300 (H,wt=23): 5626 L(x \ 1,x,(y \ x) \ 1) \ z = (x \ 1) \ (a(x,x,y) * z). [para(5298(a,1),5625(a,1,1))]. given #5301 (H,wt=19): 5627 (x \ 1) \ (a(x,x,y) * z) = L(x \ 1,x,y) \ z. [para(5307(a,1),5626(a,1,1)),flip(a)]. given #5302 (H,wt=19): 5628 a(x,x,y) * ((x \ 1) \ z) = L(x \ 1,x,y) \ z. [hyper(39,a,1602,a(flip),b,5627,a),flip(a)]. given #5303 (H,wt=21): 5629 a(x,x,y) * (z / (x \ K(z,x))) = L(x \ 1,x,y) \ z. [para(2102(a,2),5628(a,1,2))]. given #5304 (H,wt=24): 5630 L(x \ 1,x,y) \ z != u * (z / (x \ K(z,x))) | a(x,x,y) = u. [para(5629(a,1),45(a,1))]. given #5305 (H,wt=29): 5585 a(x \ 1,x \ 1,y) * (z / (x \ K(z,x))) = L(x \ 1,x \ 1,y \ 1) \ z. [para(2102(a,2),5584(a,2,2)),flip(a)]. given #5306 (H,wt=29): 5622 L(L(x,x \ 1,y \ 1),a(x,x \ 1,y),z) = (z * a(x,x \ 1,y)) \ (z * x). [hyper(64,a,30,a,b,5541,a)]. given #5307 (H,wt=29): 5631 a(x \ 1,x \ 1,y) * (z / (x \ K(z,x))) = L(x \ 1,x,(y \ 1) \ 1) \ z. [para(5298(a,1),5585(a,2,1))]. given #5308 (H,wt=25): 5633 a(x \ 1,x \ 1,y) * (z / (x \ K(z,x))) = L(x \ 1,x,y) \ z. [para(326(a,1),5631(a,2,1,3))]. given #5309 (H,wt=13): 5634 a(x \ 1,x \ 1,y) = a(x,x,y). [hyper(36,a,5629,a,b,5633,a),flip(a)]. given #5310 (H,wt=25): 5635 a(L(x \ 1,x,y),L(x,x,y) \ 1,z) = a(L(x,x,y),L(x,x,y),z). [para(5300(a,2),5634(a,1,1))]. given #5311 (H,wt=25): 5636 a(L(x \ 1,x,y),L(x \ 1,x,y),z) = a(L(x,x,y),L(x,x,y),z). [para(5300(a,2),5635(a,1,2))]. given #5312 (H,wt=30): 5222 a(x,T(y,z),L(T(y,z) \ (y * z),T(y,z),x)) = a(x,T(y,z),y \ (x * (z * y))). [para(3002(a,1),5219(a,2,3))]. given #5313 (H,wt=26): 5637 a(x,T(y,z),L(T(z,y),T(y,z),x)) = a(x,T(y,z),y \ (x * (z * y))). [para(896(a,1),5222(a,1,3,1))]. given #5314 (H,wt=24): 5638 a(x,T(y,z),y \ (x * (z * y))) = a(x,T(y,z),L(T(z,y),y,x)). [para(3580(a,1),5637(a,1,3)),flip(a)]. given #5315 (H,wt=22): 5639 a(x,T(y,z),y \ (x * (z * y))) = a(x,T(y,z),L(z,y,x)). [hyper(306,a,4306,a(flip),b,5638,a),flip(a)]. given #5316 (H,wt=20): 5640 a(x,T(y,z),y \ (x * (z * y))) = a(x,y,L(z,y,x)). [hyper(306,a,4305,a(flip),b,5639,a),flip(a)]. given #5317 (H,wt=20): 5641 a(x,T(y,z),y \ ((z * y) * x)) = a(x,y,L(z,y,x)). [hyper(64,a,4377,a,b,5640,a)]. given #5318 (H,wt=17): 5642 a(x,T(y,z),y \ ((z * y) * x)) = a(x,y,z). [hyper(306,a,5417,a(flip),b,5641,a),flip(a)]. given #5319 (H,wt=17): 5644 a(x,T(y,z),x * (y \ (z * y))) = a(x,y,z). [hyper(64,a,5620,a(flip),b,5642,a)]. given #5320 (H,wt=15): 5645 a(x,T(y,z),x * T(z,y)) = a(x,y,z). [para(22(a,2),5644(a,1,3,2))]. given #5321 (H,wt=15): 5646 a(x,T(y,z),T(x * z,y)) = a(x,y,z). [hyper(5525,a,5645,a)]. given #5322 (H,wt=13): 5647 a(x,T(y,z),x * z) = a(x,y,z). [hyper(4599,a,5646,a)]. given #5323 (H,wt=11): 5648 a(x,y,x * z) = a(x,y,z). [hyper(64,a,5337,a(flip),b,5647,a)]. given #5324 (H,wt=15): 5652 a(x,y,(z * x) \ u) = a(x,y,z \ u). [hyper(64,a,5621,a(flip),b,5648,a),flip(a)]. given #5325 (H,wt=17): 5650 a(x,y,L(x * z,u,w)) = a(x,y,L(z,u,w)). [hyper(64,a,5332,a,b,5648,a)]. given #5326 (H,wt=17): 5654 a(x,x,R(x * y,z,u)) = a(x,R(x,z,u),y). [hyper(64,a,5441,a(flip),b,5648,a)]. given #5327 (H,wt=17): 5661 a(x,y,L(x \ z,u,w)) = a(x,y,L(z,u,w)). [para(10(a,1),5650(a,1,3,1)),flip(a)]. given #5328 (H,wt=17): 5662 a(x,x,R(x * y,z,u)) = a(x,x,R(y,z,u)). [hyper(306,a,5441,a(flip),b,5654,a),flip(a)]. given #5329 (H,wt=21): 5665 1 \ a(R(x * y,z,u),x,x \ 1) = a(x,x,R(y,z,u)). [hyper(64,a,5371,a,b,5662,a)]. given #5330 (H,wt=21): 5666 a(R(x * y,z,u),x,x \ 1) = a(R(y,z,u),x,x) \ 1. [hyper(39,a,5567,a,b,5665,a),flip(a)]. given #5331 (H,wt=17): 5667 a(R(x * y,z,u),x,x) = a(R(y,z,u),x,x). [hyper(5272,a,5666,a)]. given #5332 (H,wt=17): 5668 a(x * y,x,R(x,z,u)) = a(R(y,z,u),x,x). [hyper(5531,a,5667,a)]. given #5333 (H,wt=17): 5669 a(x * y,x,R(x,z,u)) = a(y,x,R(x,z,u)). [hyper(306,a,5440,a(flip),b,5668,a),flip(a)]. given #5334 (H,wt=22): 5657 a(x,y,z \ (x \ ((x * z) * u))) = a(x,y,L(x \ u,x,z)). [hyper(64,a,5534,a(flip),b,5652,a),flip(a)]. given #5335 (H,wt=14): 5670 a(x,y,L(x \ z,x,u)) = a(x,y,z). [hyper(64,a,5426,a(flip),b,5657,a),flip(a)]. given #5336 (H,wt=12): 5672 a(x,y,L(z,x,u)) = a(x,y,z). [hyper(64,a,5661,a(flip),b,5670,a)]. given #5337 (H,wt=12): 5675 L(a(x,y,z),x,u) = a(x,y,z). [hyper(64,a,5310,a(flip),b,5672,a)]. given #5338 (H,wt=9): 5680 a(x,y,a(y,z,u)) = 1. [hyper(54,a,5675,a)]. given #5339 (H,wt=11): 5678 a(x,y,z \ 1) = a(z,y,x). [hyper(5401,a,5675,a)]. given #5340 (H,wt=11): 5679 a(x,y,z) = x \ L(x,y,z). [hyper(4612,a,5675,a),flip(a)]. given #5341 (H,wt=11): 5683 a(x,y,z) = x \ R(x,y,z). [hyper(5240,a,5678,a),flip(a)]. given #5342 (H,wt=11): 5687 a(x \ 1,y,z) = a(z,y,x). [hyper(64,a,4459,a(flip),b,5678,a),flip(a)]. given #5343 (H,wt=11): 5688 R(x,y,z) = x * a(x,y,z). [hyper(121,a,5678,a(flip),b,5238,a(flip)),flip(a)]. given #5344 (H,wt=11): 5691 L(x,y,z) = x * a(x,y,z). [hyper(121,a,5679,a,b,xx),flip(a)]. given #5345 (H,wt=11): 5699 R(x,y,z) = a(x,y,z) * x. [hyper(120,a,5683,a,b,417,a),flip(a)]. given #5346 (H,wt=13): 5686 a(x,y,x * (z \ 1)) = a(z,y,x). [hyper(64,a,5648,a,b,5678,a)]. given #5347 (H,wt=11): 5717 a(x,y,z \ x) = a(z,y,x). [hyper(64,a,5461,a(flip),b,5686,a)]. given #5348 (H,wt=14): 5676 a(x,y,z) != u | a(x,y,x * z) = u. [para(5672(a,1),5321(a,1))]. given #5349 (H,wt=14): 5703 x * a(x,y,z) != u | R(x,y,z) = u. [para(5683(a,2),262(a,1,2)),flip(b)]. given #5350 (H,wt=12): 5724 L(x,y,z) != u | R(x,y,z) = u. [para(5691(a,2),5703(a,1))]. given #5351 (H,wt=14): 5711 x \ R(x,y,z) != u | a(x,y,z) = u. [para(5688(a,2),286(a,1,2)),flip(b)]. given #5352 (H,wt=14): 5726 a(x,y,z \ 1) != u | a(z,y,x) = u. [para(5238(a,2),5711(a,1))]. given #5353 (H,wt=15): 5682 L(x,y,z) != a(y,u,w) | a(y,u,w) = x. [para(5675(a,1),51(a,1)),flip(a)]. given #5354 (H,wt=15): 5690 x * L(x \ 1,y,z) = a(x \ 1,y,z). [hyper(306,a,927,a(flip),b,5679,a)]. given #5355 (H,wt=16): 5723 L(x,y,K(z,u)) != w | R(x,y,K(z,u)) = w. [para(4962(a,1),5703(a,1))]. given #5356 (H,wt=17): 5677 (x * a(x,y,z)) * u = x * (a(x,y,z) * u). [para(5672(a,1),5488(a,1,2,1)),flip(a)]. given #5357 (H,wt=9): 5734 L(x,a(y,z,u),y) = x. [hyper(595,a,5677,a)]. given #5358 (H,wt=11): 5737 L(x,a(y,z,z),z \ 1) = x. [para(5249(a,1),5734(a,1,2))]. given #5359 (H,wt=15): 5736 x * (a(x,y,z) * u) = L(x,y,z) * u. [para(5691(a,2),5677(a,1,1)),flip(a)]. given #5360 (H,wt=17): 5705 a(x,L(x,y,z) \ 1,u) = a(u,x,L(x,y,z)). [hyper(3695,a,5687,a)]. given #5361 (H,wt=17): 5707 a(x \ 1,y,R(z,u,w)) = a(z,y,R(x,u,w)). [hyper(306,a,5440,a(flip),b,5687,a),flip(a)]. given #5362 (H,wt=17): 5740 L(x,y,z \ x) * u = x * (a(z,y,x) * u). [para(5717(a,1),5736(a,1,2,1)),flip(a)]. given #5363 (H,wt=18): 5696 x \ y != z * a(z,u,w) | x * L(z,u,w) = y. [para(5679(a,2),313(a,2,2))]. given #5364 (H,wt=18): 5714 x \ L(x,y,z) != u * w | u \ a(x,y,z) = w. [para(5691(a,2),312(a,1,2))]. given #5365 (H,wt=18): 5721 a(x,T(y,z),x * z) != u | a(x,y,x * z) = u. [para(5647(a,2),5676(a,1))]. given #5366 (H,wt=18): 5732 x * L(x \ 1,x,y) != z | a(x,x \ 1,y) = z. [para(5690(a,2),2360(a,1))]. given #5367 (H,wt=18): 5739 L(x,y,z) * u != x * w | a(x,y,z) * u = w. [para(5736(a,1),44(a,1))]. given #5368 (H,wt=18): 5742 a(x,x,y) != z * u | z \ a(y,x,x \ 1) = u. [para(5370(a,1),5714(a,1))]. given #5369 (H,wt=16): 5743 a(x,x,y) != z | 1 \ a(y,x,x \ 1) = z. [para(7(a,1),5742(a,2))]. given #5370 (H,wt=19): 5712 x \ (y * L(y \ x,z,u)) = a((x \ y) \ 1,z,u). [hyper(2549,a,5691,a)]. given #5371 (H,wt=19): 5725 x / (y * (x \ (x / y))) != z | R(x,y,y \ x) = z. [para(3150(a,2),5724(a,1))]. given #5372 (H,wt=20): 5693 R(x,y,z) \ L(R(x,y,z),u,w) = a(x,u,R(w,y,z)). [hyper(64,a,5440,a(flip),b,5679,a),flip(a)]. given #5373 (H,wt=20): 5719 a(x,y,R(z \ R(x,u,w),u,w)) = a(z,y,R(x,u,w)). [hyper(64,a,5440,a(flip),b,5717,a)]. given #5374 (H,wt=20): 5744 a(R(x,y,z) \ u,x,R(x,y,z)) = a(u,x,R(x,y,z)). [hyper(5546,a,5719,a)]. given #5375 (H,wt=21): 5701 R(x,T(y,z),R(T(y,z),u,w)) = x * a(x,y,R(y,u,w)). [hyper(121,a,5526,a(flip),b,5683,a(flip)),flip(a)]. given #5376 (H,wt=19): 5745 R(x,T(y,z),R(T(y,z),u,w)) = R(x,y,R(y,u,w)). [hyper(306,a,5688,a,b,5701,a),flip(a)]. given #5377 (H,wt=21): 5702 R(x,y \ 1,R(y \ 1,z,u)) = x * a(x,y,R(y,z,u)). [hyper(121,a,5499,a(flip),b,5683,a(flip)),flip(a)]. given #5378 (H,wt=19): 5747 R(x,y \ 1,R(y \ 1,z,u)) = R(x,y,R(y,z,u)). [hyper(306,a,5688,a,b,5702,a),flip(a)]. given #5379 (H,wt=19): 5748 R(x,y \ 1,L(y \ 1,z,u)) = R(x,y,R(y,z,u)). [para(4097(a,1),5747(a,1,3))]. given #5380 (H,wt=19): 5749 R(x,y \ 1,L(y \ 1,z,u)) = R(x,y,L(y,z,u)). [para(4097(a,1),5748(a,2,3))]. given #5381 (H,wt=15): 5750 R(x,y,R(y,z,u)) = R(x,y,L(y,z,u)). [hyper(64,a,5748,a(flip),b,5749,a)]. given #5382 (H,wt=15): 5751 R(x,y,L(y,z,u)) = L(x,y,R(y,z,u)). [hyper(64,a,4098,a,b,5750,a),flip(a)]. given #5383 (H,wt=15): 5752 L(x,y,R(y,z,u)) = L(x,y,L(y,z,u)). [hyper(64,a,4098,a,b,5751,a),flip(a)]. given #5384 (H,wt=19): 5753 L(x,y \ 1,R(y \ 1,z,u)) = R(x,y,L(y,z,u)). [hyper(64,a,5749,a(flip),b,5751,a),flip(a)]. given #5385 (H,wt=19): 5754 L(x,y \ 1,R(y \ 1,z,u)) = L(x,y,R(y,z,u)). [hyper(306,a,5751,a(flip),b,5753,a),flip(a)]. given #5386 (H,wt=21): 5746 R(x,T(y,z),R(T(y,z),u,w)) = x * a(x,y,L(y,u,w)). [para(4097(a,1),5701(a,2,2,3))]. given #5387 (H,wt=22): 5755 R(x,T(y,z),R(T(y,z),u,w)) != v5 | R(x,y,L(y,u,w)) = v5. [para(5746(a,2),5703(a,1))]. given #5388 (H,wt=18): 5756 R(x,y,R(y,z,u)) != w | R(x,y,L(y,z,u)) = w. [para(5745(a,1),5755(a,1))]. given #5389 (H,wt=22): 5757 R(x,y \ 1,L(y \ 1,z,u)) != w | R(x,y,L(y,z,u)) = w. [para(5748(a,2),5756(a,1))]. given #5390 (H,wt=23): 5716 x * (a(x * y,x,R(x,z,u)) * y) = R(x * y,x,R(x,z,u)). [hyper(306,a,5543,a(flip),b,5699,a)]. given #5391 (H,wt=21): 5758 x * (a(y,x,R(x,z,u)) * y) = R(x * y,x,R(x,z,u)). [para(5669(a,1),5716(a,1,2,1))]. given #5392 (H,wt=19): 5759 R(x * y,x,R(x,z,u)) = x * R(y,x,R(x,z,u)). [para(5699(a,2),5758(a,1,2)),flip(a)]. given #5393 (H,wt=19): 5760 R(x * y,x,R(x,z,u)) = x * R(y,x,L(x,z,u)). [para(4097(a,1),5759(a,2,2,3))]. given #5394 (H,wt=19): 5761 R(x * y,x,L(x,z,u)) = x * R(y,x,L(x,z,u)). [hyper(5756,a,5760,a)]. given #5395 (H,wt=21): 5762 T(R(x * y,x,L(x,z,u)),x) = R(y,x,L(x,z,u)) * x. [para(5761(a,2),792(a,1,1))]. given #5396 (H,wt=21): 5763 R(T(x * y,x),x,L(x,z,u)) = R(y,x,L(x,z,u)) * x. [hyper(64,a,27,a,b,5762,a)]. given #5397 (H,wt=19): 5764 R(x * y,y,L(y,z,u)) = R(x,y,L(y,z,u)) * y. [para(792(a,1),5763(a,1,1))]. given #5398 (H,wt=19): 5765 R(x * y,y,L(y,z,u)) = L(x,y,R(y,z,u)) * y. [para(5751(a,1),5764(a,2,1))]. given #5399 (H,wt=19): 5766 L(x * y,y,R(y,z,u)) = L(x,y,R(y,z,u)) * y. [hyper(64,a,5751,a(flip),b,5765,a)]. given #5400 (H,wt=19): 5768 L(x * y,y,R(y,z,u)) = L(x,y,L(y,z,u)) * y. [para(4097(a,1),5766(a,2,1,3))]. given #5401 (H,wt=19): 5769 L(x * y,y,L(y,z,u)) = L(x,y,L(y,z,u)) * y. [hyper(64,a,5752,a(flip),b,5768,a)]. given #5402 (H,wt=27): 5741 (L(x,y,z) \ 1) \ ((L(x,y,z) \ x) * u) = x * (u * a(u,x,L(x,y,z))). [para(5705(a,1),5462(a,2,2,2))]. given #5403 (H,wt=25): 5770 (L(x,y,z) \ 1) \ ((L(x,y,z) \ x) * u) = x * L(u,x,L(x,y,z)). [para(5691(a,2),5741(a,2,2))]. given #5404 (H,wt=30): 5301 L((x \ 1) * R((x \ 1) \ 1,y,z),x,u) = L(x \ 1,x,u) * R(L(x,x,u),y,z). [para(5292(a,1),4466(a,1,2,1)),flip(a)]. given #5405 (H,wt=30): 5771 L((x \ 1) * R((x \ 1) \ 1,y,z),x,u) = L(x \ 1,x,u) * L(R(x,y,z),x,u). [para(29(a,1),5301(a,2,2))]. given #5406 (H,wt=19): 5772 L(R(x,y,z),x \ 1,u \ 1) = L(R(x,y,z),x,u). [hyper(4505,a,5771,a)]. given #5407 (H,wt=19): 5773 L(R(x,y,z),x \ 1,u) = L(R(x,y,z),x,u \ 1). [hyper(64,a,2560,a(flip),b,5772,a)]. given #5408 (H,wt=19): 5774 R(R(x,y,z),x \ 1,u) = L(R(x,y,z),x,u \ 1). [hyper(5724,a,5773,a)]. given #5409 (H,wt=32): 5338 K(x * a(y,z,z),x * z) * L(L(z,a(y,z,z),x),z,y) = (x * z) / (x * a(y,z,z)). [para(5336(a,2),1812(a,1,2))]. given #5410 (H,wt=32): 5710 ((a(x \ 1,y,z) \ x) \ 1) * a(x,a(x \ 1,y,z),a(x \ 1,y,z)) = R(x \ 1,y,z). [hyper(306,a,5469,a,b,5688,a)]. given #5411 (H,wt=33): 5485 L(x \ 1,x \ 1,(y * x) \ (x \ 1)) * z = (x \ 1) * (z * a(x * y,x \ 1,x \ 1)). [para(4627(a,1),5483(a,2,2,2))]. given #5412 (H,wt=29): 5777 L(x \ 1,x \ 1,(y * x) \ (x \ 1)) * z = (x \ 1) * (z * a(x * y,x,x)). [para(5496(a,1),5485(a,2,2,2))]. given #5413 (H,wt=27): 5778 L(x \ 1,x \ 1,(y * x) \ (x \ 1)) * z = (x \ 1) * (z * a(y,x,x)). [para(5269(a,1),5777(a,2,2,2))]. given #5414 (H,wt=21): 5779 L(x \ 1,x,y * x) * z = (x \ 1) * (z * a(y,x,x)). [para(5500(a,1),5778(a,1,1))]. given #5415 (H,wt=19): 5780 (x \ 1) * (y * a(z,x,x)) = L(x \ 1,x,z) * y. [para(1028(a,1),5779(a,1,1)),flip(a)]. given #5416 (H,wt=19): 5781 ((x \ 1) * y) * a(z,x,x) = L(x \ 1,x,z) * y. [hyper(35,a,1593,a(flip),b,5780,a),flip(a)]. given #5417 (H,wt=33): 5632 K(x * y,L(L(y,y \ 1,z \ 1),a(y,y \ 1,z),x)) = K(x * a(y,y \ 1,z),x * y). [para(5622(a,2),1909(a,1,2))]. given #5418 (H,wt=29): 5782 K(x * y,L(L(y,y,z),a(y,y \ 1,z),x)) = K(x * a(y,y \ 1,z),x * y). [para(5292(a,1),5632(a,1,2,1))]. given #5419 (H,wt=26): 5783 K(x * y,L(y,a(y,y \ 1,z),x)) = K(x * a(y,y \ 1,z),x * y). [hyper(3921,a,5782,a)]. given #5420 (H,wt=24): 5784 K(x * a(y,y \ 1,z),x * y) = K(x,L(y,a(y,y \ 1,z),x)). [hyper(3871,a,5783,a),flip(a)]. given #5421 (H,wt=16): 5785 K(x * a(y,y \ 1,z),x * y) = K(x,y). [hyper(306,a,3223,a(flip),b,5784,a),flip(a)]. given #5422 (H,wt=14): 5787 K(x * a(y,z,z),x * z) = K(x,z). [para(5243(a,1),5785(a,1,1,2))]. given #5423 (H,wt=25): 5788 K(x,y) * L(L(y,a(z,y,y),x),y,z) = (x * y) / (x * a(z,y,y)). [para(5787(a,1),5338(a,1,1))]. given #5424 (H,wt=19): 5789 (x * y) / (x * a(z,y,y)) = K(x,y) * L(y,y,z). [para(5549(a,1),5788(a,1,2,1)),flip(a)]. given #5425 (H,wt=19): 5791 (x * y) / (x * a(z,y,y)) = L(T(y,x \ y),y,z). [hyper(306,a,3870,a,b,5789,a),flip(a)]. given #5426 (H,wt=33): 5767 T(L(x * (y \ 1),y \ 1,R(y \ 1,z,u)),y) = (y \ 1) * L(x,y \ 1,R(y \ 1,z,u)). [para(5766(a,2),2050(a,1,1))]. given #5427 (H,wt=29): 5792 T(L(x * (y \ 1),y,R(y,z,u)),y) = (y \ 1) * L(x,y \ 1,R(y \ 1,z,u)). [para(5754(a,1),5767(a,1,1))]. given #5428 (H,wt=29): 5793 L(T(x * (y \ 1),y),y,R(y,z,u)) = (y \ 1) * L(x,y \ 1,R(y \ 1,z,u)). [hyper(64,a,25,a,b,5792,a)]. given #5429 (H,wt=27): 5794 (x \ 1) * L(y,x \ 1,R(x \ 1,z,u)) = L((x \ 1) * y,x,R(x,z,u)). [para(2050(a,1),5793(a,1,1)),flip(a)]. given #5430 (H,wt=23): 5795 L((x \ 1) * y,x,R(x,z,u)) = (x \ 1) * L(y,x,R(x,z,u)). [para(5754(a,1),5794(a,1,2)),flip(a)]. given #5431 (H,wt=23): 5796 L((x \ 1) * y,x,R(x,z,u)) = (x \ 1) * L(y,x,L(x,z,u)). [para(4097(a,1),5795(a,2,2,3))]. given #5432 (H,wt=23): 5797 L((x \ 1) * y,x,L(x,z,u)) = (x \ 1) * L(y,x,L(x,z,u)). [hyper(64,a,5752,a(flip),b,5796,a)]. given #5433 (H,wt=26): 5798 (x \ 1) * L(x * y,x,L(x,z,u)) = L(L(y,x,L(x,z,u)),x,x \ 1). [hyper(64,a,720,a(flip),b,5797,a),flip(a)]. given #5434 (H,wt=19): 5799 L(x * y,x,L(x,z,u)) = x * L(y,x,L(x,z,u)). [hyper(35,a,714,a,b,5798,a),flip(a)]. given #5435 (H,wt=25): 5800 (L(x,y,z) \ 1) \ ((L(x,y,z) \ x) * u) = L(x * u,x,L(x,y,z)). [hyper(306,a,5770,a,b,5799,a)]. given #5436 (H,wt=33): 5802 (x * ((L(y,z,u) \ y) \ 1)) / ((L(y,z,u) \ 1) \ 1) = L(y * (x \ 1),y,L(y,z,u)) \ 1. [para(5800(a,1),571(a,2,1))]. given #5437 (H,wt=31): 5803 (x * (y \ L(y,z,u))) / ((L(y,z,u) \ 1) \ 1) = L(y * (x \ 1),y,L(y,z,u)) \ 1. [para(1225(a,1),5802(a,1,1,2))]. given #5438 (H,wt=27): 5804 L(x * (y \ 1),x,L(x,z,u)) \ 1 = (y * (x \ L(x,z,u))) / L(x,z,u). [para(326(a,1),5803(a,1,2)),flip(a)]. given #5439 (H,wt=30): 5805 L(x * (y \ 1),x,L(x,z,u)) \ 1 != w | L(x,z,u) / (x * (y \ L(x,z,u))) = w. [para(5804(a,2),731(a,1))]. given #5440 (H,wt=34): 5353 a(x \ (y \ R(x,z,u)),x,a(u,z,z \ (((z * u) * (x \ 1)) * u))) = a(x \ R(x,z,u),x,y). [para(5345(a,2),5234(a,1,3))]. given #5441 (H,wt=35): 5296 (((x * y) / (x * a(z,y,y))) * x) * a(z,y,y) = x * (a(z,y,y) * R(L(y,y,z),x,a(z,y,y))). [para(5290(a,1),2493(a,1,1,1,1,2))]. given #5442 (H,wt=35): 5352 L(x \ R(x,y,y \ R(y,z,u)),x,R(y,z,u)) = a(x,y,a(u,z,z \ (((z * u) * (y \ 1)) * u))). [para(5345(a,2),4075(a,2,3))]. given #5443 (H,wt=35): 5806 (((x * y) / (x * a(z,y,y))) * x) * a(z,y,y) = x * (a(z,y,y) * L(R(y,x,a(z,y,y)),y,z)). [para(29(a,1),5296(a,2,2,2))]. given #5444 (H,wt=29): 5807 (((x * y) / (x * a(z,y,y))) * x) * a(z,y,y) = x * (a(z,y,y) * L(y,y,z)). [para(5246(a,1),5806(a,2,2,2,1))]. given #5445 (H,wt=21): 5808 (((x * y) / (x * a(z,y,y))) * x) * a(z,y,y) = x * y. [para(5290(a,1),5807(a,2,2))]. given #5446 (H,wt=19): 5809 (L(T(x,y \ x),x,z) * y) * a(z,x,x) = y * x. [para(5791(a,1),5808(a,1,1,1))]. given #5447 (H,wt=19): 5810 (L(x,x,y) * (z * K(z,x))) * a(y,x,x) = z * x. [para(3943(a,1),5809(a,1,1))]. given #5448 (H,wt=17): 5811 (L(x,x,y) * T(z,x)) * a(y,x,x) = z * x. [para(1892(a,2),5810(a,1,1,2))]. given #5449 (H,wt=17): 5812 T(L(x,x,y) * z,x) * a(y,x,x) = z * x. [para(1607(a,2),5811(a,1,1))]. given #5450 (H,wt=15): 5813 (x * L(y,y,z)) * a(z,y,y) = x * y. [para(3844(a,1),5812(a,1,1))]. given #5451 (H,wt=21): 5814 L(x \ 1,x,y) * (z * L(x,x,y)) = (x \ 1) * (z * x). [para(5813(a,1),5780(a,1,2)),flip(a)]. given #5452 (H,wt=30): 5815 L(x \ 1,x,y) * (T(z,x \ 1) * L(x,x,y)) = (z * (x \ 1)) * L(x,z,x \ 1). [hyper(306,a,3128,a,b,5814,a),flip(a)]. given #5453 (H,wt=26): 5816 L(x \ 1,x,y) * (L(x,x,y) * z) = (z * (x \ 1)) * L(x,z,x \ 1). [para(3906(a,1),5815(a,1,2))]. given #5454 (H,wt=21): 5817 L(x \ 1,x,y) * (L(x,x,y) * z) = (z * (x \ 1)) * x. [para(2346(a,1),5816(a,2,2))]. given #5455 (H,wt=20): 5818 L(x \ 1,x,y) * (L(x,x,y) * z) = L(z,x,x \ 1). [hyper(306,a,2320,a(flip),b,5817,a),flip(a)]. given #5456 (H,wt=21): 5819 L(x,L(y,y,z),y \ (a(z,y,y) * 1)) = L(x,y,y \ 1). [hyper(64,a,5600,a,b,5818,a)]. given #5457 (H,wt=19): 5821 L(x,L(y,y,z),L(y,y,z) \ 1) = L(x,y,y \ 1). [para(5579(a,1),5819(a,1,3))]. given #5458 (H,wt=19): 5822 a(L(x,x,y),L(x,x,y),z) = z \ L(z,x,x \ 1). [para(5821(a,1),5370(a,1,2)),flip(a)]. given #5459 (H,wt=15): 5823 a(L(x,x,y),L(x,x,y),z) = a(x,x,z). [hyper(306,a,5370,a(flip),b,5822,a),flip(a)]. given #5460 (H,wt=19): 5824 a(L(x \ 1,x,y),L(x \ 1,x,y),z) = a(x,x,z). [hyper(64,a,5636,a,b,5823,a)]. given #5461 (H,wt=20): 5825 L(L(x,x,y),L(x,x,y),z) = L(x,x,y) * a(x,x,z). [hyper(121,a,5823,a(flip),b,5474,a),flip(a)]. given #5462 (H,wt=20): 5828 L(L(x,x,y),L(x,x,y),z) = a(z,x,x) \ L(x,x,y). [hyper(306,a,5565,a,b,5825,a),flip(a)]. given #5463 (H,wt=22): 5829 (a(x \ 1,y,y) \ L(y,y,z)) \ x = (L(y,y,z) \ 1) * x. [para(5828(a,1),5303(a,1,1))]. given #5464 (H,wt=22): 5830 (a(x,y,y \ 1) \ L(y,y,z)) \ x = (L(y,y,z) \ 1) * x. [para(5251(a,1),5829(a,1,1,1))]. given #5465 (H,wt=20): 5831 (L(x,x,y) * a(z,x,x)) \ z = (L(x,x,y) \ 1) * z. [para(5578(a,1),5830(a,1,1))]. given #5466 (H,wt=20): 5832 (L(x,x,y) * a(z,x,x)) \ z = L(x \ 1,x,y) * z. [para(5300(a,2),5831(a,2,1))]. given #5467 (H,wt=26): 5827 L(L(x \ 1,x,y),L(x \ 1,x,y),z) = L(x \ 1,x,y) * a(x,x,z). [hyper(121,a,5824,a(flip),b,5474,a),flip(a)]. given #5468 (H,wt=26): 5833 L(L(x \ 1,x,y),L(x \ 1,x,y),z) = a(z,x,x) \ L(x \ 1,x,y). [hyper(306,a,5565,a,b,5827,a),flip(a)]. given #5469 (H,wt=19): 5834 a(x,L(y \ 1,y,z),L(y \ 1,y,z)) = a(x,y,y). [hyper(5293,a,5833,a)]. given #5470 (H,wt=16): 5835 L(x,a(y,z,z),L(z \ 1,z,u) \ 1) = x. [para(5834(a,1),5737(a,1,2))]. given #5471 (H,wt=16): 5836 L(x,a(y,z,z),R(z,z \ 1,u \ 1)) = x. [para(2574(a,2),5835(a,1,3))]. given #5472 (H,wt=16): 5838 L(x,a(y,z,z),L(z,z,(u \ 1) \ 1)) = x. [para(5302(a,1),5836(a,1,3))]. given #5473 (H,wt=12): 5840 L(x,a(y,z,z),L(z,z,u)) = x. [para(194(a,1),5838(a,1,3,3))]. given #5474 (H,wt=23): 5841 (L(x,x,y) * a(z,x,x)) \ u = a(z,x,x) \ (L(x,x,y) \ u). [hyper(64,a,293,a(flip),b,5840,a)]. given #5475 (H,wt=20): 5842 a(x,y,y) \ (L(y,y,z) \ x) = L(y \ 1,y,z) * x. [hyper(64,a,5832,a(flip),b,5841,a),flip(a)]. given #5476 (H,wt=38): 5775 L(R(x,y,z) \ L(R(x,y,z),x,((x \ 1) \ u) \ 1),R(x,y,z),u) = a(x \ 1,R(x,y,z),(x \ 1) \ u). [para(5774(a,1),4076(a,1,1,2))]. given #5477 (H,wt=36): 5843 L(R(x,y,z) \ L(R(x,y,z),x,(u \ 1) / x),R(x,y,z),u) = a(x \ 1,R(x,y,z),(x \ 1) \ u). [para(569(a,1),5775(a,1,1,2,3))]. given #5478 (H,wt=36): 5844 L(R(x,y,z) \ L(R(x,y,z),x,x \ (u \ 1)),R(x,y,z),u) = a(x \ 1,R(x,y,z),(x \ 1) \ u). [para(3139(a,1),5843(a,1,1,2))]. given #5479 (H,wt=34): 5845 L(R(x,y,z) \ L(R(x,y,z),x,u \ 1),R(x,y,z),u) = a(x \ 1,R(x,y,z),(x \ 1) \ u). [para(2469(a,1),5844(a,1,1,2))]. given #5480 (H,wt=29): 5846 L(a(x,x,R(y \ 1,z,u)),R(x,z,u),y) = a(x \ 1,R(x,z,u),(x \ 1) \ y). [para(5693(a,1),5845(a,1,1))]. given #5481 (H,wt=27): 5847 L(a(R(x,y,z),u,u),R(u,y,z),x) = a(u \ 1,R(u,y,z),(u \ 1) \ x). [para(5456(a,1),5846(a,1,1))]. given #5482 (H,wt=27): 5848 a(L(R(x,y,z),R(u,y,z),x),u,u) = a(u \ 1,R(u,y,z),(u \ 1) \ x). [hyper(5282,a,5847,a)]. given #5483 (H,wt=21): 5849 a(x \ 1,R(x,y,z),(x \ 1) \ u) = a(R(u,y,z),x,x). [para(769(a,1),5848(a,1,1)),flip(a)]. given #5484 (H,wt=21): 5850 a(x \ 1,R(x,y,z),(x \ 1) \ u) = a(u,x,R(x,y,z)). [hyper(306,a,5440,a(flip),b,5849,a),flip(a)]. given #5485 (H,wt=25): 5852 a(x \ 1,R(x,y,z),(x \ 1) * ((x \ 1) \ u)) = a(u,x,R(x,y,z)). [hyper(5676,a,5850,a)]. given #5486 (H,wt=17): 5853 a(x \ 1,R(x,y,z),u) = a(u,x,R(x,y,z)). [para(10(a,1),5852(a,1,3))]. given #5487 (H,wt=32): 5854 (x \ 1) * (y * a(R(x,z,u) \ y,x,R(x,z,u))) = (x \ R(x,z,u)) * (R(x,z,u) \ y). [para(5853(a,1),4554(a,1,2,2))]. given #5488 (H,wt=27): 5855 (x \ R(x,y,z)) * (R(x,y,z) \ u) = (x \ 1) * (u * a(u,x,R(x,y,z))). [para(5744(a,1),5854(a,1,2,2)),flip(a)]. given #5489 (H,wt=25): 5856 (x \ R(x,y,z)) * (R(x,y,z) \ u) = (x \ 1) * L(u,x,R(x,y,z)). [para(5691(a,2),5855(a,2,2))]. given #5490 (H,wt=25): 5857 (x \ R(x,y,z)) * (R(x,y,z) \ u) = L((x \ 1) * u,x,R(x,y,z)). [hyper(306,a,5795,a,b,5856,a),flip(a)]. given #5491 (H,wt=25): 5858 (x \ R(x,y,z)) * (R(x,y,z) \ u) = L((x \ 1) * u,x,L(x,y,z)). [hyper(306,a,5752,a(flip),b,5857,a),flip(a)]. given #5492 (H,wt=29): 5859 ((x / R(y,z,u)) * y) * (y \ R(y,z,u)) = y * L((y \ 1) * x,y,L(y,z,u)). [para(5858(a,1),4715(a,2,2))]. given #5493 (H,wt=29): 5860 ((x / R(y,z,u)) * y) * (y \ R(y,z,u)) = L(y * ((y \ 1) * x),y,L(y,z,u)). [hyper(306,a,5799,a,b,5859,a),flip(a)]. given #5494 (H,wt=28): 5861 ((x / R(y,z,u)) * y) * (y \ R(y,z,u)) = L(L(x,y,y \ 1),y,L(y,z,u)). [para(2323(a,1),5860(a,2,1))]. given #5495 (H,wt=41): 5351 a(x,x \ R(x,y,z),x \ (((x * (x \ R(x,y,z))) * (u \ 1)) * (x \ R(x,y,z)))) = u \ R(u,x,x \ R(x,y,z)). [hyper(4718,a,5345,a)]. given #5496 (H,wt=37): 5862 a(x,x \ R(x,y,z),x \ ((R(x,y,z) * (u \ 1)) * (x \ R(x,y,z)))) = u \ R(u,x,x \ R(x,y,z)). [para(10(a,1),5351(a,1,3,2,1,1))]. given #5497 (H,wt=42): 5776 ((a(x,y,R(z,u,w)) \ z) \ 1) * a(z,a(z \ 1,y,R(x,u,w)),a(z \ 1,y,R(x,u,w))) = R(z \ 1,y,R(x,u,w)). [para(5707(a,1),5710(a,1,1,1,1))]. given #5498 (H,wt=42): 5864 ((a(R(x,y,z),u,u) * x) \ 1) * a(x,a(x \ 1,u,R(u,y,z)),a(x \ 1,u,R(u,y,z))) = R(x \ 1,u,R(u,y,z)). [para(5574(a,1),5776(a,1,1,1))]. given #5499 (H,wt=42): 5865 ((a(x,y,R(y,z,u)) * x) \ 1) * a(x,a(x \ 1,y,R(y,z,u)),a(x \ 1,y,R(y,z,u))) = R(x \ 1,y,R(y,z,u)). [para(5440(a,1),5864(a,1,1,1,1))]. given #5500 (H,wt=40): 5866 (R(x,y,R(y,z,u)) \ 1) * a(x,a(x \ 1,y,R(y,z,u)),a(x \ 1,y,R(y,z,u))) = R(x \ 1,y,R(y,z,u)). [para(5699(a,2),5865(a,1,1,1))]. given #5501 (H,wt=38): 5867 (R(x,y,R(y,z,u)) \ 1) * a(x,a(y,y,R(x,z,u)),a(x \ 1,y,R(y,z,u))) = R(x \ 1,y,R(y,z,u)). [para(5707(a,1),5866(a,1,2,2))]. given #5502 (H,wt=36): 5868 (R(x,y,R(y,z,u)) \ 1) * a(x,a(y,y,R(x,z,u)),a(y,y,R(x,z,u))) = R(x \ 1,y,R(y,z,u)). [para(5707(a,1),5867(a,1,2,3))]. given #5503 (H,wt=21): 5869 (R(x,y,R(y,z,u)) \ 1) * 1 = R(x \ 1,y,R(y,z,u)). [para(5597(a,1),5868(a,1,2))]. given #5504 (H,wt=19): 5870 R(x \ 1,y,R(y,z,u)) = R(x,y,R(y,z,u)) \ 1. [hyper(130,a,5869,a),flip(a)]. given #5505 (H,wt=19): 5872 R(x \ 1,y,R(y,z,u)) = R(x,y,L(y,z,u)) \ 1. [para(4097(a,1),5870(a,2,1,3))]. given #5506 (H,wt=19): 5873 R(x \ 1,y,L(y,z,u)) = R(x,y,L(y,z,u)) \ 1. [hyper(5756,a,5872,a)]. given #5507 (H,wt=19): 5874 R(x \ 1,y,L(y,z,u)) = L(x,y,R(y,z,u)) \ 1. [para(5751(a,1),5873(a,2,1))]. given #5508 (H,wt=19): 5875 L(x \ 1,y,R(y,z,u)) = L(x,y,R(y,z,u)) \ 1. [hyper(64,a,5751,a(flip),b,5874,a)]. given #5509 (H,wt=19): 5876 L(x \ 1,y,R(y,z,u)) = L(x,y,L(y,z,u)) \ 1. [para(4097(a,1),5875(a,2,1,3))]. given #5510 (H,wt=19): 5877 L(x \ 1,y,L(y,z,u)) = L(x,y,L(y,z,u)) \ 1. [hyper(64,a,5752,a(flip),b,5876,a)]. given #5511 (H,wt=27): 5878 L((x * (y \ 1)) \ 1,x,L(x,z,u)) = L(x,z,u) / (x * (y \ L(x,z,u))). [hyper(5805,a,5877,a(flip)),flip(a)]. given #5512 (H,wt=25): 5879 L(x,y,z) / (x * (u \ L(x,y,z))) = L(u * (x \ 1),x,L(x,y,z)). [para(318(a,1),5878(a,1,1)),flip(a)]. given #5513 (H,wt=23): 5880 L(x * (y \ 1),y,L(y,z,u)) * y = L(x,y \ L(y,z,u),y). [hyper(120,a,5879,a(flip),b,4107,a)]. given #5514 (H,wt=23): 5881 L((x * (y \ 1)) * y,y,L(y,z,u)) = L(x,y \ L(y,z,u),y). [hyper(64,a,5769,a,b,5880,a)]. given #5515 (H,wt=22): 5882 L(L(x,y,y \ 1),y,L(y,z,u)) = L(x,y \ L(y,z,u),y). [para(2320(a,1),5881(a,1,1))]. given #5516 (H,wt=25): 5883 ((x / R(y,z,u)) * y) * (y \ R(y,z,u)) = L(x,y \ L(y,z,u),y). [hyper(64,a,5861,a,b,5882,a)]. given #5517 (H,wt=23): 5884 a(x,x \ R(x,y,z),x \ u) = u / L(u,x \ L(x,y,z),x). [para(5883(a,1),4722(a,1,2)),flip(a)]. given #5518 (H,wt=23): 5885 a(x,x \ R(x,y,z),x \ u) = L(u,x \ L(x,y,z),x) \ u. [hyper(306,a,835,a(flip),b,5884,a),flip(a)]. given #5519 (H,wt=44): 5393 ((x \ 1) * y) * R(((x \ 1) * y) \ L((x \ 1) * y,x,x),z,u) = (((x \ 1) * y) \ 1) \ R(((x \ 1) * y) \ (x \ y),z,u). [para(5386(a,1),4446(a,1,2,1,2)),flip(a)]. given #5520 (H,wt=42): 5886 ((x \ 1) * y) * R(((x \ 1) * y) \ L((x \ 1) * y,x,x),z,u) = ((y \ 1) * x) \ R(((x \ 1) * y) \ (x \ y),z,u). [para(561(a,1),5393(a,2,1))]. given #5521 (H,wt=37): 5887 ((x \ 1) * y) * R(((x \ 1) * y) \ L((x \ 1) * y,x,x),z,u) = ((y \ 1) * x) \ R(a(y,x,x),z,u). [para(5253(a,1),5886(a,2,2,1))]. given #5522 (H,wt=37): 5888 ((x \ 1) * y) * R(((x \ 1) * y) \ L((x \ 1) * y,x,x),z,u) = ((y \ 1) * x) \ a(R(y,z,u),x,x). [para(5284(a,2),5887(a,2,2))]. given #5523 (H,wt=32): 5889 ((x \ 1) * y) * R(((x \ 1) * y) \ (x \ y),z,u) = ((y \ 1) * x) \ a(R(y,z,u),x,x). [para(5386(a,1),5888(a,1,2,1,2))]. given #5524 (H,wt=27): 5890 ((x \ 1) * y) \ a(R(x,z,u),y,y) = ((y \ 1) * x) * R(a(x,y,y),z,u). [para(5253(a,1),5889(a,1,2,1)),flip(a)]. given #5525 (H,wt=27): 5891 ((x \ 1) * y) \ a(R(x,z,u),y,y) = ((y \ 1) * x) * a(R(x,z,u),y,y). [para(5284(a,2),5890(a,2,2))]. given #5526 (H,wt=25): 5892 ((x \ 1) * y) \ a(R(x,z,u),y,y) = L(y \ 1,y,R(x,z,u)) * x. [hyper(306,a,5781,a(flip),b,5891,a),flip(a)]. given #5527 (H,wt=25): 5893 ((x \ 1) * y) \ a(x,y,R(y,z,u)) = L(y \ 1,y,R(x,z,u)) * x. [para(5440(a,1),5892(a,1,2))]. given #5528 (H,wt=25): 5894 ((x \ 1) * y) \ a(x,y,R(y,z,u)) = L(y \ 1,y,L(x,z,u)) * x. [para(4097(a,1),5893(a,2,1,3))]. given #5529 (H,wt=23): 5895 L(x \ 1,x,R(y,z,u)) * y = L(x \ 1,x,L(y,z,u)) * y. [hyper(64,a,5893,a(flip),b,5894,a)]. given #5530 (H,wt=45): 5801 L(x * (((L(x,y,z) \ x) \ (L(x,y,z) \ 1)) * u),x,L(x,y,z)) = L(u,(L(x,y,z) \ x) \ (L(x,y,z) \ 1),L(x,y,z) \ x). [hyper(1123,a,5800,a),flip(a)]. given #5531 (H,wt=35): 5896 L(x * (((L(x,y,z) \ x) \ (L(x,y,z) \ 1)) * u),x,L(x,y,z)) = L(u,x \ 1,L(x,y,z) \ x). [para(1249(a,1),5801(a,2,2))]. given #5532 (H,wt=25): 5897 L(x * ((x \ 1) * y),x,L(x,z,u)) = L(y,x \ 1,L(x,z,u) \ x). [para(1249(a,1),5896(a,1,1,2,1))]. given #5533 (H,wt=24): 5900 L(L(x,y,y \ 1),y,L(y,z,u)) = L(x,y \ 1,L(y,z,u) \ y). [para(2323(a,1),5897(a,1,1))]. given #5534 (H,wt=21): 5901 L(x,y \ 1,L(y,z,u) \ y) = L(x,y \ L(y,z,u),y). [hyper(64,a,5882,a(flip),b,5900,a),flip(a)]. given #5535 (H,wt=31): 5902 R(x,(y \ 1) \ 1,(L(y,z,u) \ y) \ 1) \ x = x * L(x \ 1,y \ L(y,z,u),y). [para(5901(a,1),2576(a,2,2))]. given #5536 (H,wt=27): 5903 R(x,y,(L(y,z,u) \ y) \ 1) \ x = x * L(x \ 1,y \ L(y,z,u),y). [para(326(a,1),5902(a,1,1,2))]. given #5537 (H,wt=25): 5904 x * L(x \ 1,y \ L(y,z,u),y) = R(x,y,y \ L(y,z,u)) \ x. [para(1225(a,1),5903(a,1,1,3)),flip(a)]. given #5538 (H,wt=25): 5905 x * L(x \ 1,y \ L(y,z,u),y) = L(x,y \ L(y,z,u),y) \ x. [para(4453(a,1),5904(a,2,1))]. given #5539 (H,wt=51): 5100 (x \ y) * (a(x \ y,x,x \ 1) * R(a(x \ y,x,x \ 1) \ 1,z,u)) = a(y,x,x \ 1) * ((x \ y) * R(a(x \ y,x,x \ 1) \ 1,z,u)). [para(751(a,1),4957(a,1,2))]. given #5540 (H,wt=49): 5906 (x \ y) * (a(x \ y,x,x \ 1) * R(a(x \ y,x,x \ 1) \ 1,z,u)) = a(y,x,x \ 1) * ((x \ y) * R(a(y,x,x \ 1) \ 1,z,u)). [para(3733(a,1),5100(a,2,2,2,1,1))]. given #5541 (H,wt=45): 5907 (x \ y) * (a(x \ y,x,x \ 1) * R(a(x \ y,x,x \ 1) \ 1,z,u)) = a(y,x,x \ 1) * ((x \ y) * R(a(y,x,x),z,u)). [para(5255(a,1),5906(a,2,2,2,1))]. given #5542 (H,wt=45): 5908 (x \ y) * (a(x \ y,x,x \ 1) * R(a(x \ y,x,x \ 1) \ 1,z,u)) = a(y,x,x \ 1) * ((x \ y) * a(R(y,z,u),x,x)). [para(5284(a,2),5907(a,2,2,2))]. given #5543 (H,wt=43): 5909 (x \ y) * (a(x \ y,x,x \ 1) * R(a(x \ y,x,x \ 1) \ 1,z,u)) = a(y,x,x \ 1) * (L(x,x,R(y,z,u)) \ y). [para(5586(a,1),5908(a,2,2))]. given #5544 (H,wt=41): 5910 (x \ y) * (a(x \ y,x,x \ 1) * R(a(x \ y,x,x \ 1) \ 1,z,u)) = a(y,x,x) \ (L(x,x,R(y,z,u)) \ y). [hyper(306,a,5575,a(flip),b,5909,a),flip(a)]. given #5545 (H,wt=38): 5911 (x \ y) * (a(x \ y,x,x \ 1) * R(a(x \ y,x,x \ 1) \ 1,z,u)) = L(x \ 1,x,R(y,z,u)) * y. [hyper(306,a,5842,a(flip),b,5910,a),flip(a)]. given #5546 (H,wt=36): 5912 (x \ y) * (a(y,x,x \ 1) * R(a(x \ y,x,x \ 1) \ 1,z,u)) = L(x \ 1,x,R(y,z,u)) * y. [para(3733(a,1),5911(a,1,2,1))]. given #5547 (H,wt=34): 5913 (x \ y) * (a(y,x,x \ 1) * R(a(y,x,x \ 1) \ 1,z,u)) = L(x \ 1,x,R(y,z,u)) * y. [para(3733(a,1),5912(a,1,2,2,1,1))]. given #5548 (H,wt=23): 5914 L(x \ 1,x,R(y,z,u)) * y = (x \ y) * a(a(y,x,x),z,u). [para(5609(a,1),5913(a,1,2)),flip(a)]. given #5549 (H,wt=23): 5915 L(x \ 1,x,L(y,z,u)) * y = (x \ y) * a(a(y,x,x),z,u). [hyper(64,a,5895,a(flip),b,5914,a)]. given #5550 (H,wt=25): 5916 (x \ 1) * (y * a(L(y,z,u),x,x)) = (x \ y) * a(a(y,x,x),z,u). [hyper(64,a,5780,a,b,5915,a)]. given #5551 (H,wt=25): 5917 (x \ 1) * (y * a(y,x,L(x,z,u))) = (x \ y) * a(a(y,x,x),z,u). [para(5412(a,1),5916(a,1,2,2))]. given #5552 (H,wt=23): 5918 (x \ 1) * L(y,x,L(x,z,u)) = (x \ y) * a(a(y,x,x),z,u). [para(5691(a,2),5917(a,1,2))]. given #5553 (H,wt=23): 5919 L((x \ 1) * y,x,L(x,z,u)) = (x \ y) * a(a(y,x,x),z,u). [hyper(64,a,5797,a,b,5918,a)]. given #5554 (H,wt=28): 5920 x \ (y * L((y \ 1) * x,y,L(y,z,u))) = L(a(a(x,y,y),z,u),y \ x,y). [para(5919(a,2),94(a,1,2,2))]. given #5555 (H,wt=28): 5921 x \ L(y * ((y \ 1) * x),y,L(y,z,u)) = L(a(a(x,y,y),z,u),y \ x,y). [para(5799(a,2),5920(a,1,2))]. given #5556 (H,wt=27): 5922 x \ L(L(x,y,y \ 1),y,L(y,z,u)) = L(a(a(x,y,y),z,u),y \ x,y). [para(2323(a,1),5921(a,1,2,1))]. given #5557 (H,wt=24): 5923 L(a(a(x,y,y),z,u),y \ x,y) = x \ L(x,y \ L(y,z,u),y). [para(5882(a,1),5922(a,1,2)),flip(a)]. given #5558 (H,wt=24): 5924 a(a(x,y,L(y,y \ x,y)),z,u) = x \ L(x,y \ L(y,z,u),y). [hyper(64,a,5415,a,b,5923,a)]. given #5559 (H,wt=19): 5925 x \ L(x,y \ L(y,z,u),y) = a(a(x,y,y),z,u). [para(757(a,1),5924(a,1,1,3)),flip(a)]. given #5560 (H,wt=23): 5926 x * L(x \ 1,y \ L(y,z,u),y) = a(a(x \ 1,y,y),z,u). [hyper(1044,a,5925,a)]. given #5561 (H,wt=21): 5927 x * L(x \ 1,y \ L(y,z,u),y) = a(a(y,y,x),z,u). [para(5369(a,1),5926(a,2,1))]. given #5562 (H,wt=19): 5928 L(x,y \ L(y,z,u),y) \ x = a(a(y,y,x),z,u). [hyper(64,a,5905,a(flip),b,5927,a)]. given #5563 (H,wt=19): 5929 a(x,x \ R(x,y,z),x \ u) = a(a(x,x,u),y,z). [hyper(64,a,5885,a,b,5928,a)]. given #5564 (H,wt=33): 5930 a(a(x,x,(R(x,y,z) * (u \ 1)) * (x \ R(x,y,z))),y,z) = u \ R(u,x,x \ R(x,y,z)). [hyper(64,a,5862,a(flip),b,5929,a),flip(a)]. given #5565 (H,wt=31): 5931 a(a(x,x,R(x,y,z) * (R(x,y,z) * (u \ 1))),y,z) = u \ R(u,x,x \ R(x,y,z)). [para(5595(a,1),5930(a,1,1))]. given #5566 (H,wt=26): 5932 a(a(x,x,R(x,y,z) * (u \ 1)),y,z) = u \ R(u,x,x \ R(x,y,z)). [para(5592(a,1),5931(a,1,1))]. given #5567 (H,wt=21): 5933 x \ R(x,y,y \ R(y,z,u)) = a(a(y,y,x \ 1),z,u). [para(5592(a,1),5932(a,1,1)),flip(a)]. given #5568 (H,wt=19): 5935 x \ R(x,y,y \ R(y,z,u)) = a(a(x,y,y),z,u). [para(5368(a,1),5933(a,2,1))]. given #5569 (H,wt=31): 5937 L(a(a(x,y,y),z,u),x,R(y,z,u)) = a(x,y,a(u,z,z \ (((z * u) * (y \ 1)) * u))). [para(5935(a,1),5352(a,1,1))]. given #5570 (H,wt=25): 5938 a(x,y,a(z,u,u \ (((u * z) * (y \ 1)) * z))) = a(a(x,y,y),u,z). [hyper(5682,a,5937,a)]. given #5571 (H,wt=24): 5939 a(a(x \ (y \ R(x,z,u)),x,x),z,u) = a(x \ R(x,z,u),x,y). [hyper(64,a,5353,a(flip),b,5938,a),flip(a)]. given #5572 (H,wt=22): 5941 a(a(x \ R(y,z,u),y,y),z,u) = a(y \ R(y,z,u),y,x). [para(5271(a,1),5939(a,1,1))]. given #5573 (H,wt=17): 5942 a(x \ R(x,y,z),x,u) = a(a(x,x,u),y,z). [para(5603(a,1),5941(a,1,1)),flip(a)]. given #5574 (H,wt=17): 5943 a(x,x \ R(x,y,z),u) = a(a(x,x,u),y,z). [hyper(4718,a,5942,a)]. given #5575 (H,wt=25): 5945 a(x \ 1,x * R(x \ 1,y,z),u) = a(a(x \ 1,x \ 1,u),y,z). [para(925(a,1),5943(a,1,2))]. given #5576 (H,wt=21): 5946 a(x \ 1,x * R(x \ 1,y,z),u) = a(a(x,x,u),y,z). [para(5634(a,1),5945(a,2,1))]. given #5577 (H,wt=17): 5948 a(x \ 1,a(y,z,x),u) = a(a(x,x,u),z,y). [para(5232(a,2),5946(a,1,2))]. given #5578 (H,wt=15): 5949 a(a(x,x,y),z,u) = a(y,x,a(u,z,x)). [hyper(64,a,5492,a(flip),b,5948,a),flip(a)]. given #5579 (H,wt=19): 5950 a(a(x,y,y),z,z \ u) = a(x,y,a(u \ z,z,y)). [hyper(64,a,5581,a,b,5949,a)]. given #5580 (H,wt=25): 5947 a(x,y * R(y \ 1,z,u),y \ 1) = a(a(y,y,x \ (y \ 1)),z,u). [hyper(64,a,5717,a(flip),b,5946,a)]. given #5581 (H,wt=21): 5951 a(x,y * R(y \ 1,z,u),y \ 1) = a(a(x,y,y),z,u). [para(5367(a,1),5947(a,2,1))]. given #5582 (H,wt=17): 5952 a(x,a(y,z,u),u \ 1) = a(a(x,u,u),z,y). [para(5232(a,2),5951(a,1,2))]. given #5583 (H,wt=15): 5953 a(a(x,y,y),z,u) = a(y,a(u,z,y),x). [hyper(5726,a,5952,a),flip(a)]. given #5584 (H,wt=19): 5954 a(x,a(y \ z,y,x),u) = a(u,x,a(z \ y,y,x)). [hyper(64,a,5950,a(flip),b,5953,a),flip(a)]. given #5585 (H,wt=19): 5955 a(x,y,a((z * u) \ z,z,y)) = a(y,a(u,z,y),x). [para(9(a,1),5954(a,1,2,1)),flip(a)]. given #5586 (H,wt=19): 5956 a(x,y,a(z \ (z / u),z,y)) = a(y,a(u,z,y),x). [para(320(a,1),5955(a,1,3,1))]. given #5587 (H,wt=15): 5957 a(x,a(y,z,x),u) = a(u,x,a(x,z,y)). [para(5398(a,1),5956(a,1,3)),flip(a)]. given #5588 (H,wt=15): 5958 a(a(x,y,y),z,u) = a(x,y,a(y,z,u)). [hyper(64,a,5953,a,b,5957,a)]. given #5589 (H,wt=9): 5959 a(a(x,y,y),z,u) = 1. [hyper(306,a,5680,a(flip),b,5958,a),flip(a)]. given #5590 (H,wt=9): 5960 a(x,y,a(z,u,u)) = 1. [hyper(5726,a,5959,a)]. given #5591 (H,wt=9): 5962 a(x,y,a(z,z,u)) = 1. [hyper(64,a,5573,a(flip),b,5959,a)]. given #5592 (H,wt=9): 5963 L(x,y,a(z,u,u)) = x. [hyper(53,a,5959,a)]. given #5593 (H,wt=9): 5969 R(x,y,a(z,u,u)) = x. [hyper(5724,a,5963,a)]. given #5594 (H,wt=9): 5975 L(x,y,a(z,z,u)) = x. [para(5230(a,1),5963(a,1,3))]. given #5595 (H,wt=12): 5965 L(a(x,y,y),z,u) = a(x,y,y). [hyper(53,a,5960,a)]. given #5596 (H,wt=12): 5967 L(a(x,x,y),z,u) = a(x,x,y). [hyper(53,a,5962,a)]. given #5597 (H,wt=12): 5977 R(x,y,a(z,u,u)) != w | x = w. [para(5969(a,1),52(a,2))]. given #5598 (H,wt=12): 5984 L(x,y,a(z,z,u)) != w | x = w. [para(5975(a,1),51(a,2))]. given #5599 (H,wt=12): 5991 R(a(x,x,y),z,u) = a(x,x,y). [hyper(5724,a,5967,a)]. given #5600 (H,wt=12): 5992 a(x,x,L(y,z,u)) = a(x,x,y). [hyper(64,a,5310,a,b,5967,a)]. given #5601 (H,wt=15): 5980 (x \ 1) * a(y,y,z) = x \ a(y,y,z). [hyper(64,a,5407,a(flip),b,5975,a),flip(a)]. given #5602 (H,wt=15): 5996 a(x,x,y) * (z \ 1) = z \ a(x,x,y). [hyper(4921,a,5980,a)]. given #5603 (H,wt=17): 5971 (a(x,y,y) * z) \ u = z \ (a(x,y,y) \ u). [hyper(64,a,293,a(flip),b,5963,a)]. given #5604 (H,wt=17): 5972 a(x,y,y) * ((a(x,y,y) \ z) / u) = z / u. [hyper(196,a,5963,a(flip),b,3581,a(flip)),flip(a)]. given #5605 (H,wt=17): 5973 (a(x,y,y) * z) * u = a(x,y,y) * (z * u). [hyper(121,a,5963,a(flip),b,3162,a(flip))]. given #5606 (H,wt=17): 5974 (x * y) * a(z,u,u) = x * (y * a(z,u,u)). [para(5963(a,1),4094(a,1,1)),flip(a)]. given #5607 (H,wt=17): 5978 x \ (y * a(z,u,u)) = (x \ y) * a(z,u,u). [para(5969(a,1),618(a,1,1))]. given #5608 (H,wt=17): 5981 (a(x,x,y) * z) \ u = z \ (a(x,x,y) \ u). [hyper(64,a,293,a(flip),b,5975,a)]. given #5609 (H,wt=17): 5982 x / (y \ (a(z,z,u) \ x)) = a(z,z,u) * y. [hyper(196,a,5975,a(flip),b,293,a(flip))]. given #5610 (H,wt=17): 5983 (a(x,x,y) * z) * u = a(x,x,y) * (z * u). [hyper(121,a,5975,a(flip),b,3162,a(flip))]. given #5611 (H,wt=17): 5986 (x * y) * a(z,z,u) = x * (y * a(z,z,u)). [para(5975(a,1),4094(a,1,1)),flip(a)]. given #5612 (H,wt=16): 6008 T(x,y * (z * a(u,u,w))) = T(x,y * z). [para(5986(a,1),5008(a,1,2))]. given #5613 (H,wt=17): 5989 (x * y) / a(z,u,u) = x * (y / a(z,u,u)). [hyper(196,a,5965,a(flip),b,97,a(flip))]. given #5614 (H,wt=17): 5994 a(x,x,y) \ (z * u) = (a(x,x,y) \ z) * u. [para(5991(a,1),618(a,1,1))]. given #5615 (H,wt=17): 5997 (x * a(y,z,z)) \ u = x \ (a(y,z,z) \ u). [para(4883(a,1),5971(a,1,1))]. given #5616 (H,wt=17): 5998 (a(x,y,y) \ z) / u = a(x,y,y) \ (z / u). [hyper(125,a,5972,a),flip(a)]. given #5617 (H,wt=17): 5999 (x * a(y,z,z)) * u = a(y,z,z) * (x * u). [para(4883(a,1),5973(a,1,1))]. given #5618 (H,wt=17): 6001 x / (y \ (x / a(z,z,u))) = a(z,z,u) * y. [para(4916(a,2),5982(a,1,2,2))]. given #5619 (H,wt=17): 6010 a(x,y,y) \ (z * u) = z * (u / a(x,y,y)). [hyper(4887,a,5989,a)]. given #5620 (H,wt=17): 6013 (x * a(y,y,z)) / (u \ x) = a(y,y,z) * u. [para(11(a,1),6001(a,1,2,2))]. given #5621 (H,wt=17): 6014 a(x,y,y) \ (z * u) = z * (a(x,y,y) \ u). [para(4882(a,1),6010(a,2,2))]. given #5622 (H,wt=17): 6016 x * (a(y,z,z) * (x \ u)) = a(y,z,z) * u. [hyper(665,a,6014,a),flip(a)]. given #5623 (H,wt=17): 6017 a(x,y,y) * (z \ (a(x,y,y) \ u)) = z \ u. [hyper(118,a,10,a(flip),b,6016,a),flip(a)]. given #5624 (H,wt=18): 6009 T(x,y * (L(z,z,u) \ w)) = T(x,y * (z \ w)). [para(5587(a,1),6008(a,1,2,2)),flip(a)]. given #5625 (H,wt=17): 6018 T(x,y * ((z \ 1) * u)) = T(x,y * (z \ u)). [para(5303(a,1),6009(a,1,2,2))]. given #5626 (H,wt=17): 6019 T(x,((y \ 1) * z) \ u) = T(x,u * (z \ y)). [hyper(3489,a,6018,a)]. given #5627 (H,wt=17): 6022 T(x,y * ((z \ 1) \ u)) = T(x,y * (z * u)). [para(326(a,1),6018(a,1,2,2,1)),flip(a)]. given #5628 (H,wt=17): 6023 T(x,y * (z \ (u \ 1))) = T(x,(u * z) \ y). [para(326(a,1),6019(a,1,2,1,1)),flip(a)]. given #5629 (H,wt=19): 5964 (x * (y * a(z,u,u))) \ (a(z,u,u) * (x * y)) = 1. [hyper(64,a,4889,a,b,5960,a)]. given #5630 (H,wt=19): 6006 a(x,x,y) * ((z \ 1) * u) = (z \ a(x,x,y)) * u. [para(5996(a,1),5983(a,1,1)),flip(a)]. given #5631 (H,wt=19): 6015 (T(x,y) * a(z,z,u)) / y = a(z,z,u) * (y \ x). [para(830(a,1),6013(a,1,2))]. given #5632 (H,wt=19): 6024 T(x,y \ ((z \ 1) \ u)) = T(x,(y \ 1) * (z * u)). [hyper(3490,a,6022,a)]. given #5633 (H,wt=17): 6029 T(x,y \ ((z \ 1) \ u)) = T(x,y \ (z * u)). [hyper(306,a,3470,a(flip),b,6024,a),flip(a)]. given #5634 (H,wt=17): 6031 T(x,y \ ((z \ 1) * u)) = T(x,y \ (z \ u)). [para(326(a,1),6029(a,1,2,2,1)),flip(a)]. given #5635 (H,wt=16): 6034 T(x,y \ (z \ y)) != u | T(x,z \ 1) = u. [para(6031(a,1),1521(a,1))]. given #5636 (H,wt=19): 6025 T(x,((y \ z) * u) \ w) = T(x,w * (u \ (z \ y))). [hyper(64,a,4331,a(flip),b,6023,a),flip(a)]. given #5637 (H,wt=19): 6028 T(a(x,x,y) * z,u) / u = a(x,x,y) * (u \ z). [para(4926(a,2),6015(a,1,1))]. given #5638 (H,wt=17): 6036 x \ (a(y,y,z) * u) = a(y,y,z) * (x \ u). [hyper(839,a,6028,a)]. given #5639 (H,wt=17): 6037 a(x,x,y) * (z \ (a(x,x,y) \ u)) = z \ u. [para(10(a,1),6036(a,1,2)),flip(a)]. given #5640 (H,wt=17): 6038 x \ (y * a(z,z,u)) = a(z,z,u) * (x \ y). [para(4917(a,1),6036(a,1,2))]. given #5641 (H,wt=17): 6039 a(x,x,y) \ (z \ u) = z \ (a(x,x,y) \ u). [hyper(125,a,6037,a)]. given #5642 (H,wt=17): 6044 (a(x,x,y) * z) \ u = a(x,x,y) \ (z \ u). [hyper(306,a,5981,a,b,6039,a)]. given #5643 (H,wt=17): 6047 x / ((y \ x) * a(z,u,u)) = a(u,u,z) * y. [hyper(196,a,5576,a(flip),b,6044,a)]. given #5644 (H,wt=17): 6048 (x * a(y,y,z)) \ u = a(y,y,z) \ (x \ u). [para(4917(a,1),6044(a,1,1))]. given #5645 (H,wt=19): 6035 T(x,(y * (z \ u)) \ w) = T(x,w * (y \ (u \ z))). [hyper(64,a,2977,a,b,6025,a)]. given #5646 (H,wt=19): 6051 T(x,(y * (z / u)) \ w) = T(x,w * (y \ (z \ u))). [hyper(64,a,3494,a,b,6035,a)]. given #5647 (H,wt=20): 5985 (a(x,x,y) * z) * u != w | a(x,x,y) * (z * u) = w. [para(5975(a,1),285(a,1,2))]. given #5648 (H,wt=20): 5993 (x * y) * a(z,z,u) != w | x * (y * a(z,z,u)) = w. [para(5967(a,1),285(a,1,2))]. given #5649 (H,wt=20): 6011 a(x,x,y) \ z != (a(x,x,y) \ u) * w | u * w = z. [para(5994(a,1),48(a,1)),flip(a)]. given #5650 (H,wt=20): 6043 x \ y != a(z,z,u) * (x \ w) | w * a(z,z,u) = y. [para(6038(a,1),48(a,1)),flip(a)]. given #5651 (H,wt=20): 6045 a(x,x,y) * (z \ (a(x,x,y) \ u)) != w | z \ u = w. [para(6039(a,1),262(a,1,2)),flip(b)]. given #5652 (H,wt=20): 6049 x / y != a(z,z,u) * w | (w \ x) * a(u,z,z) = y. [para(6047(a,1),46(a,1)),flip(a)]. given #5653 (H,wt=21): 6020 T(x,y * (y * (z * (u \ 1)))) = T(x,(y * y) * (u \ z)). [hyper(64,a,5014,a(flip),b,6018,a)]. given #5654 (H,wt=21): 6030 T(x,((y \ 1) \ z) * (u \ w)) = T(x,(w \ u) \ (y * z)). [hyper(64,a,4052,a(flip),b,6029,a)]. given #5655 (H,wt=21): 6053 T(x,y * (y * (z * (u \ 1)))) = T(x,y * ((z \ u) \ y)). [hyper(306,a,4173,a(flip),b,6020,a),flip(a)]. given #5656 (H,wt=21): 6054 T(x,((y \ 1) \ z) * (u \ w)) = T(x,(y * z) * (u \ w)). [hyper(306,a,4052,a(flip),b,6030,a),flip(a)]. given #5657 (H,wt=21): 6055 T(x,((y \ 1) \ z) * (u \ y)) = T(x,y * ((z \ u) \ y)). [hyper(64,a,5018,a,b,6053,a)]. given #5658 (H,wt=19): 6056 T(x,(y * z) * (u \ y)) = T(x,y * ((z \ u) \ y)). [hyper(64,a,6054,a(flip),b,6055,a)]. given #5659 (H,wt=19): 6057 T(x,(y * z) * (u \ y)) = T(x,y * (y * (u \ z))). [hyper(306,a,5013,a(flip),b,6056,a),flip(a)]. given #5660 (H,wt=19): 6058 T(x,y * (y * (z \ (y \ u)))) = T(x,u * (z \ y)). [para(10(a,1),6057(a,1,2,1)),flip(a)]. given #5661 (H,wt=15): 6060 T(x,y * ((z \ y) \ z)) = T(x,z * z). [para(166(a,1),6058(a,1,2,2)),flip(a)]. given #5662 (H,wt=15): 6062 T(x,y * ((y \ z) * z)) = T(x,z * z). [para(912(a,1),6060(a,1,2,2))]. given #5663 (H,wt=22): 6027 a(x,x,y) * L(z,u,u \ 1) = (u \ a(x,x,y)) * (u * z). [para(714(a,1),6006(a,1,2))]. given #5664 (H,wt=23): 6052 T(x,y * ((z \ u) \ (w \ v5))) = T(x,y * ((w / v5) \ (u \ z))). [hyper(64,a,6025,a(flip),b,6051,a),flip(a)]. given #5665 (H,wt=24): 6005 (a(x,x,y) * (z * u)) * (u \ 1) = L(a(x,x,y) * z,u,u \ 1). [para(5983(a,1),2131(a,1,1))]. given #5666 (H,wt=24): 6033 T(x,((y \ 1) * z) \ (y \ (u * z))) = T(x,L(T(u,z),z,y \ 1)). [para(224(a,1),6031(a,1,2)),flip(a)]. given #5667 (H,wt=24): 6040 (x * y) \ (a(z,z,u) \ (x * (y * w))) = a(z,z,u) \ L(w,y,x). [hyper(118,a,18,a,b,6037,a),flip(a)]. given #5668 (H,wt=24): 6046 L(x \ (a(y,y,z) \ (u \ w)),x,u) = (u * x) \ (a(y,y,z) \ w). [para(6039(a,2),293(a,1,1,2))]. given #5669 (H,wt=24): 6064 a(x,x,y) * ((z * u) * (u \ 1)) = L(a(x,x,y) * z,u,u \ 1). [hyper(5985,a,6005,a)]. given #5670 (H,wt=23): 6065 L(a(x,x,y) * z,u,u \ 1) = a(x,x,y) * L(z,u,u \ 1). [para(2131(a,1),6064(a,1,2)),flip(a)]. given #5671 (H,wt=22): 6066 L(a(x,x,y) * z,u,u \ 1) = (u \ a(x,x,y)) * (u * z). [hyper(306,a,6027,a(flip),b,6065,a),flip(a)]. given #5672 (H,wt=25): 6012 (x * (y * a(z,u,u))) \ (a(z,u,u) * (x * y)) = a(x,a(z,u,u),y). [para(5999(a,1),4890(a,1,2))]. given #5673 (H,wt=9): 6067 a(x,a(y,z,z),u) = 1. [hyper(64,a,5964,a(flip),b,6012,a),flip(a)]. given #5674 (H,wt=9): 6069 L(x,a(y,z,z),u) = x. [hyper(53,a,6067,a)]. given #5675 (H,wt=9): 6071 R(x,a(y,z,z),u) = x. [hyper(5724,a,6069,a)]. given #5676 (H,wt=9): 6074 L(x,a(y,y,z),u) = x. [para(5230(a,1),6069(a,1,2))]. given #5677 (H,wt=12): 6075 R(x,a(y,z,z),u) != w | w = x. [para(6071(a,1),52(a,1)),flip(a)]. given #5678 (H,wt=17): 6073 (x * a(y,z,z)) * u = x * (a(y,z,z) * u). [hyper(121,a,6069,a(flip),b,18,a(flip))]. given #5679 (H,wt=17): 6079 (x * a(y,y,z)) * u = x * (a(y,y,z) * u). [hyper(121,a,6074,a(flip),b,18,a(flip))]. given #5680 (H,wt=19): 6083 (x \ 1) * (a(y,y,z) * u) = (x \ a(y,y,z)) * u. [para(5980(a,1),6079(a,1,1)),flip(a)]. given #5681 (H,wt=21): 6084 (x * (y * a(z,z,u))) * w = (x * y) * (a(z,z,u) * w). [para(5986(a,1),6079(a,1,1))]. given #5682 (H,wt=21): 6086 (x * (a(y,y,z) * u)) * w = (x * u) * (a(y,y,z) * w). [para(4917(a,2),6084(a,1,1,2))]. given #5683 (H,wt=22): 6085 L(a(x,x,y) * z,u,u \ 1) = u * ((u \ a(x,x,y)) * z). [para(6083(a,1),2323(a,1,2)),flip(a)]. given #5684 (H,wt=21): 6087 (x \ a(y,y,z)) * (x * u) = x * ((x \ a(y,y,z)) * u). [hyper(64,a,6066,a(flip),b,6085,a)]. given #5685 (H,wt=22): 6088 L(x * a(y,y,z),u,u \ 1) = u * ((u \ a(y,y,z)) * x). [para(4917(a,1),6085(a,1,1))]. given #5686 (H,wt=24): 6082 ((x * (a(y,y,z) * u)) * w) / (u * w) = R(x * a(y,y,z),u,w). [para(6079(a,1),20(a,2,1,1)),flip(a)]. given #5687 (H,wt=26): 6050 a(x,x,y) \ (z \ T(u,(z * a(x,x,y)) \ 1)) = u / (z * a(x,x,y)). [hyper(2059,a,6048,a),flip(a)]. given #5688 (H,wt=26): 6090 a(x,x,y) \ (z \ T(u,a(x,x,y) \ (z \ 1))) = u / (z * a(x,x,y)). [para(3436(a,1),6050(a,1,2,2))]. given #5689 (H,wt=21): 6091 a(x,x,y) \ (z \ T(u,z \ 1)) = u / (z * a(x,x,y)). [para(5010(a,1),6090(a,1,2,2))]. given #5690 (H,wt=17): 6092 x / (y * a(z,z,u)) = a(z,z,u) \ (x / y). [para(2042(a,1),6091(a,1,2)),flip(a)]. given #5691 (H,wt=17): 6094 x / (a(y,y,z) * u) = a(y,y,z) \ (x / u). [para(4917(a,2),6092(a,1,2))]. given #5692 (H,wt=27): 6059 T(x,y * (y * (z * (z * (u \ (z \ w)))))) = T(T(x,y * y),w * (u \ z)). [hyper(64,a,4130,a(flip),b,6058,a)]. given #5693 (H,wt=27): 6095 T(x,y * (y * (z * (z * (u \ (z \ w)))))) = T(x,y * (y * (w * (u \ z)))). [hyper(306,a,4130,a(flip),b,6059,a),flip(a)]. given #5694 (H,wt=28): 6007 x * ((y * a(x,z,z \ y)) * a(u,u,w)) = ((x * z) * (z \ y)) * a(u,u,w). [para(4552(a,1),5986(a,1,1)),flip(a)]. given #5695 (H,wt=28): 6063 T(x,L(y,z,z) * (z * (y / (z \ 1)))) = T(x,(y / (z \ 1)) * (y / (z \ 1))). [para(5390(a,1),6062(a,1,2,2,1))]. given #5696 (H,wt=28): 6096 x * ((y * a(x,z,z \ y)) * a(u,u,w)) = (x * z) * ((z \ y) * a(u,u,w)). [hyper(306,a,5986,a(flip),b,6007,a),flip(a)]. given #5697 (H,wt=28): 6097 T(x,L(y,z,z) * (z * ((z \ 1) \ y))) = T(x,(y / (z \ 1)) * (y / (z \ 1))). [hyper(3338,a,6063,a)]. given #5698 (H,wt=28): 6098 x * (y * (a(x,z,z \ y) * a(u,u,w))) = (x * z) * ((z \ y) * a(u,u,w)). [para(5986(a,1),6096(a,1,2))]. given #5699 (H,wt=26): 6100 x * (y * (a(x,x,y) * a(z,z,u))) = (x * x) * ((x \ y) * a(z,z,u)). [para(4291(a,1),6098(a,1,2,2,1))]. given #5700 (H,wt=29): 6000 R((x / a(y,z,z)) / (u * w),u * w,a(y,z,z)) = x / (u * (w * a(y,z,z))). [para(5974(a,1),297(a,2,2))]. given #5701 (H,wt=29): 6003 (a(x,x,y) * (z * u)) \ ((a(x,x,y) * z) * (u * w)) = L(w,u,a(x,x,y) * z). [para(5983(a,1),18(a,2,1)),flip(a)]. given #5702 (H,wt=29): 6081 (x * (a(y,y,z) * u)) \ ((x * a(y,y,z)) * (u * w)) = L(w,u,x * a(y,y,z)). [para(6079(a,1),18(a,2,1)),flip(a)]. given #5703 (H,wt=29): 6101 R((a(x,y,y) \ z) / (u * w),u * w,a(x,y,y)) = z / (u * (w * a(x,y,y))). [para(4882(a,1),6000(a,1,1,1))]. given #5704 (H,wt=29): 6102 (a(x,x,y) * (z * u)) \ (a(x,x,y) * (z * (u * w))) = L(w,u,a(x,x,y) * z). [para(5983(a,1),6003(a,1,2))]. given #5705 (H,wt=22): 6105 L(L(x,y,z),z * y,a(u,u,w)) = L(x,y,a(u,u,w) * z). [hyper(1163,a,6102,a)]. given #5706 (H,wt=14): 6106 L(x,y,a(z,z,u) * w) = L(x,y,w). [hyper(5984,a,6105,a),flip(a)]. given #5707 (H,wt=14): 6108 L(x,y,z * a(u,u,w)) = L(x,y,z). [para(4917(a,1),6106(a,1,3))]. given #5708 (H,wt=18): 6109 L(x,y,z \ (a(u,u,w) \ v5)) = L(x,y,z \ v5). [para(6037(a,1),6106(a,1,3)),flip(a)]. given #5709 (H,wt=29): 6103 (x * (a(y,y,z) * u)) \ (x * (a(y,y,z) * (u * w))) = L(w,u,x * a(y,y,z)). [para(6079(a,1),6081(a,1,2))]. given #5710 (H,wt=29): 6104 R(a(x,y,y) \ (z / (u * w)),u * w,a(x,y,y)) = z / (u * (w * a(x,y,y))). [para(5998(a,1),6101(a,1,1))]. given #5711 (H,wt=24): 6110 x / (y * (z * a(u,w,w))) != v5 | a(u,w,w) \ (x / (y * z)) = v5. [para(6104(a,1),5977(a,1))]. given #5712 (H,wt=30): 6021 T(x,a((y / z) \ 1,u,w) * ((z \ y) \ (u * w))) = T(x,w * (((z \ y) \ 1) * u)). [hyper(64,a,4379,a(flip),b,6018,a),flip(a)]. given #5713 (H,wt=30): 6061 T(x,(y * z) * ((y * z) * (u \ (z \ (y \ 1))))) = T(x,a(z,z,y) * (u \ (y * z))). [para(5375(a,1),6058(a,1,2,2,2,2))]. given #5714 (H,wt=25): 6112 T(x,(y * z) * ((y * z) * (u \ (z \ (y \ 1))))) = T(x,u \ (y * z)). [hyper(306,a,5011,a(flip),b,6061,a),flip(a)]. given #5715 (H,wt=30): 6111 T(x,((y \ z) \ (u * w)) * a((z / y) \ 1,u,w)) = T(x,w * (((y \ z) \ 1) * u)). [hyper(1529,a,6021,a)]. given #5716 (H,wt=28): 6114 T(x,((y \ z) \ (u * w)) * a((z / y) \ 1,u,w)) = T(x,w * ((y \ z) \ u)). [hyper(306,a,6018,a(flip),b,6111,a),flip(a)]. given #5717 (H,wt=31): 6002 (x * (a(y,y,z) * (u * w))) \ ((x * (a(y,y,z) * u)) * w) = a(x,a(y,y,z) * u,w). [para(5983(a,1),14(a,2,1,2)),flip(a)]. given #5718 (H,wt=31): 6032 T(x \ y,z \ (u * w)) * T(x,z \ ((u \ 1) \ w)) = T(y,x * (z \ ((u \ 1) \ w))). [para(6029(a,1),4122(a,1,1))]. given #5719 (H,wt=29): 6115 T(x \ y,z \ (u * w)) * T(x,z \ (u * w)) = T(y,x * (z \ ((u \ 1) \ w))). [para(6029(a,1),6032(a,1,2))]. given #5720 (H,wt=21): 6116 T(x,y * (z \ ((u \ 1) \ w))) = T(x,y * (z \ (u * w))). [hyper(64,a,4122,a(flip),b,6115,a),flip(a)]. given #5721 (H,wt=25): 6117 T(x,y * (((z \ 1) / u) \ (w \ v5))) = T(x,y * ((v5 \ w) \ (z * u))). [hyper(64,a,6052,a(flip),b,6116,a)]. given #5722 (H,wt=31): 6080 (x * (y * (a(z,z,u) * w))) \ ((x * (y * a(z,z,u))) * w) = a(x,y * a(z,z,u),w). [para(6079(a,1),14(a,2,1,2)),flip(a)]. given #5723 (H,wt=31): 6099 T(x,L(y,z,z) * (z * ((z \ 1) \ y))) != u | T(x,(y / (z \ 1)) * (y / (z \ 1))) = u. [para(6097(a,2),1529(a,1))]. given #5724 (H,wt=31): 6118 (x * (y * (a(z,z,u) * w))) \ ((x * y) * (a(z,z,u) * w)) = a(x,y * a(z,z,u),w). [para(6084(a,1),6080(a,1,2))]. given #5725 (H,wt=19): 6119 a(x,y * a(z,z,u),w) = a(x,y,a(z,z,u) * w). [hyper(1084,a,6118,a),flip(a)]. given #5726 (H,wt=19): 6120 a(x,a(y,y,z) * u,w) = a(x,u,a(y,y,z) * w). [para(4917(a,2),6119(a,1,2))]. given #5727 (H,wt=31): 6121 (x * (a(y,y,z) * (u * w))) \ ((x * (a(y,y,z) * u)) * w) = a(x,u,a(y,y,z) * w). [hyper(64,a,6002,a,b,6120,a)]. given #5728 (H,wt=31): 6122 (x * (a(y,y,z) * (u * w))) \ ((x * u) * (a(y,y,z) * w)) = a(x,u,a(y,y,z) * w). [para(6086(a,1),6121(a,1,2))]. given #5729 (H,wt=32): 6004 (x * (a(y,y,z) * u)) \ (x * (a(y,y,z) * (u * w))) != v5 | L(w,a(y,y,z) * u,x) = v5. [para(5983(a,1),597(a,1,2,2))]. given #5730 (H,wt=19): 6123 L(x,a(y,y,z) * u,w) = L(x,u,w * a(y,y,z)). [hyper(6004,a,6103,a)]. given #5731 (H,wt=29): 6124 L((a(x,x,y) * z) \ (u \ w),z,u * a(x,x,y)) = (u * (a(x,x,y) * z)) \ w. [hyper(64,a,293,a(flip),b,6123,a),flip(a)]. given #5732 (H,wt=29): 6125 L(x \ (a(y,y,z) \ (u \ w)),x,u * a(y,y,z)) = (u * (a(y,y,z) * x)) \ w. [para(5981(a,1),6124(a,1,1))]. given #5733 (H,wt=24): 6126 L(x \ (a(y,y,z) \ (u \ w)),x,u) = (u * (a(y,y,z) * x)) \ w. [hyper(64,a,6108,a(flip),b,6125,a)]. given #5734 (H,wt=21): 6128 (x * (a(y,y,z) * u)) \ w = (x * u) \ (a(y,y,z) \ w). [hyper(64,a,6046,a(flip),b,6126,a),flip(a)]. given #5735 (H,wt=17): 6130 a(x,x,y) \ (z * (a(x,x,y) * u)) = z * u. [hyper(1078,a,6128,a(flip))]. given #5736 (H,wt=17): 6131 a(x,x,y) \ (z * u) = z * (a(x,x,y) \ u). [para(10(a,1),6130(a,1,2,2))]. given #5737 (H,wt=17): 6132 (a(x,x,y) \ z) * u = z * (a(x,x,y) \ u). [hyper(6011,a,6131,a),flip(a)]. given #5738 (H,wt=17): 6135 x / (a(y,y,z) \ u) = a(y,y,z) * (x / u). [hyper(691,a,6132,a)]. given #5739 (H,wt=20): 6133 a(x,x,y) \ z != u * (a(x,x,y) \ w) | u * w = z. [para(6131(a,1),48(a,1)),flip(a)]. given #5740 (H,wt=24): 6134 (x * y) \ (x * (a(z,z,u) \ (y * w))) = a(z,z,u) \ L(w,y,x). [para(6131(a,1),6040(a,1,2))]. given #5741 (H,wt=24): 6136 (x * y) \ (x * (y * (a(z,z,u) \ w))) = a(z,z,u) \ L(w,y,x). [para(6131(a,1),6134(a,1,2,2))]. given #5742 (H,wt=19): 6137 L(a(x,x,y) \ z,u,w) = a(x,x,y) \ L(z,u,w). [hyper(597,a,6136,a)]. given #5743 (H,wt=23): 6138 L(x,y,z) / (u \ L(a(w,w,v5) \ x,y,z)) = a(w,w,v5) * u. [para(6137(a,2),5982(a,1,2,2))]. given #5744 (H,wt=23): 6139 L(x,y,z) / (u \ L(x * a(w,v5,v5),y,z)) = a(v5,v5,w) * u. [para(5576(a,1),6138(a,1,2,2,1))]. given #5745 (H,wt=23): 6140 x \ L(y * a(z,u,u),w,v5) = (x \ L(y,w,v5)) * a(z,u,u). [hyper(6049,a,6139,a),flip(a)]. given #5746 (H,wt=23): 6141 x \ L(a(y,z,z) * u,w,v5) = (x \ L(u,w,v5)) * a(y,z,z). [para(4883(a,2),6140(a,1,2,1))]. given #5747 (H,wt=19): 6142 L(a(x,y,y) * z,u,w) = L(z,u,w) * a(x,y,y). [hyper(6011,a,6141,a),flip(a)]. given #5748 (H,wt=19): 6143 L(a(x,y,y) * z,u,w) = a(x,y,y) * L(z,u,w). [hyper(306,a,4883,a,b,6142,a),flip(a)]. given #5749 (H,wt=11): 6144 L(a(x,y,y) * y,y,x) = y. [hyper(306,a,5290,a(flip),b,6143,a),flip(a)]. given #5750 (H,wt=11): 6146 L(x * a(y,x,x),x,y) = x. [para(2554(a,1),6144(a,1,1))]. given #5751 (H,wt=19): 6145 a(x,y,y) * L(a(x,y,y) \ z,u,w) = L(z,u,w). [para(10(a,1),6143(a,1,1)),flip(a)]. given #5752 (H,wt=19): 6148 L(a(x,y,y) \ z,u,w) = a(x,y,y) \ L(z,u,w). [hyper(125,a,6145,a),flip(a)]. given #5753 (H,wt=22): 6149 a(x,y,y) \ L(z,u,w) != v5 | L(a(x,y,y) \ z,u,w) = v5. [para(6145(a,1),286(a,1,2)),flip(b)]. given #5754 (H,wt=31): 6129 (x * (y * z)) \ (a(u,u,w) \ ((x * y) * (a(u,u,w) * z))) = a(x,y,a(u,u,w) * z). [hyper(64,a,6122,a(flip),b,6128,a),flip(a)]. given #5755 (H,wt=21): 6150 a(x,y,a(z,z,u) * w) = (x * (y * w)) \ ((x * y) * w). [para(6130(a,1),6129(a,1,2)),flip(a)]. given #5756 (H,wt=14): 6151 a(x,y,a(z,z,u) * w) = a(x,y,w). [hyper(306,a,14,a,b,6150,a),flip(a)]. given #5757 (H,wt=17): 6153 a(x,y,(z * z) * u) = a(x,y,z * (z * u)). [para(4240(a,1),6151(a,1,3))]. given #5758 (H,wt=33): 6041 a(x,x,y) * (z \ (L(u * a(x,x,y),w,v5) / a(x,x,y))) = z \ L(a(x,x,y) * u,w,v5). [para(1039(a,2),6037(a,1,2,2))]. given #5759 (H,wt=33): 6089 R(x * a(y,y,z),u,x \ (x / (a(y,y,z) * u))) = x / (u * (x \ (x / (a(y,y,z) * u)))). [para(381(a,1),6082(a,1,1)),flip(a)]. given #5760 (H,wt=33): 6155 a(x,x,y) * (z \ (a(x,x,y) \ L(u * a(x,x,y),w,v5))) = z \ L(a(x,x,y) * u,w,v5). [para(4916(a,1),6041(a,1,2,2))]. given #5761 (H,wt=23): 6157 x \ L(a(y,y,z) * u,w,v5) = x \ L(u * a(y,y,z),w,v5). [hyper(6045,a,6155,a),flip(a)]. given #5762 (H,wt=33): 6156 R(x * a(y,y,z),u,x \ (a(y,y,z) \ (x / u))) = x / (u * (x \ (x / (a(y,y,z) * u)))). [para(6094(a,1),6089(a,1,3,2))]. given #5763 (H,wt=33): 6159 R(x * a(y,y,z),u,x \ (a(y,y,z) \ (x / u))) = x / (u * (x \ (a(y,y,z) \ (x / u)))). [para(6094(a,1),6156(a,2,2,2,2))]. given #5764 (H,wt=33): 6160 L(x * a(y,y,z),u,x \ (a(y,y,z) \ (x / u))) = x / (u * (x \ (a(y,y,z) \ (x / u)))). [hyper(64,a,4098,a,b,6159,a)]. given #5765 (H,wt=28): 6161 x / (y * (x \ (a(z,z,u) \ (x / y)))) = L(x * a(z,z,u),y,x \ (x / y)). [hyper(64,a,6109,a(flip),b,6160,a),flip(a)]. given #5766 (H,wt=28): 6163 x / (y * (x \ ((x / y) * a(z,u,u)))) = L(x * a(u,u,z),y,x \ (x / y)). [para(5576(a,1),6161(a,1,2,2,2))]. given #5767 (H,wt=28): 6164 x / (y * ((x \ (x / y)) * a(z,u,u))) = L(x * a(u,u,z),y,x \ (x / y)). [para(5978(a,1),6163(a,1,2,2))]. given #5768 (H,wt=28): 6165 a(x,y,y) \ (z / (u * (z \ (z / u)))) = L(z * a(y,y,x),u,z \ (z / u)). [hyper(6110,a,6164,a)]. given #5769 (H,wt=25): 6166 L(x * a(y,y,z),u,x \ (x / u)) = a(z,y,y) \ L(x,u,u \ x). [para(3150(a,1),6165(a,1,2)),flip(a)]. given #5770 (H,wt=25): 6167 L(x * a(y,y,z),u,x \ (x / u)) = L(a(z,y,y) \ x,u,u \ x). [hyper(306,a,6148,a,b,6166,a),flip(a)]. given #5771 (H,wt=25): 6168 L(x * a(y,y,z),u,x \ (x / u)) = L(a(y,y,z) * x,u,u \ x). [para(5569(a,1),6167(a,2,1))]. given #5772 (H,wt=37): 6042 a(x,x,y) * (z \ ((a(x,x,y) \ 1) * L(u / (a(x,x,y) \ 1),w,v5))) = z \ L(u * a(x,x,y),w,v5). [para(2112(a,2),6037(a,1,2,2))]. given #5773 (H,wt=37): 6169 a(x,x,y) * (z \ ((a(x,x,y) \ 1) * L(a(x,x,y) * (u / 1),w,v5))) = z \ L(u * a(x,x,y),w,v5). [para(6135(a,1),6042(a,1,2,2,2,1))]. given #5774 (H,wt=35): 6170 a(x,x,y) * (z \ ((a(x,x,y) \ 1) * L(a(x,x,y) * u,w,v5))) = z \ L(u * a(x,x,y),w,v5). [para(74(a,1),6169(a,1,2,2,2,1,2))]. given #5775 (H,wt=35): 6171 a(x,x,y) * (z \ (1 * (a(x,x,y) \ L(a(x,x,y) * u,w,v5)))) = z \ L(u * a(x,x,y),w,v5). [para(6132(a,1),6170(a,1,2,2))]. given #5776 (H,wt=35): 6172 a(x,x,y) * (z \ (1 * L(a(x,x,y) \ (a(x,x,y) * u),w,v5))) = z \ L(u * a(x,x,y),w,v5). [para(6137(a,2),6171(a,1,2,2,2))]. given #5777 (H,wt=25): 6173 a(x,x,y) * (z \ (1 * L(u,w,v5))) = z \ L(u * a(x,x,y),w,v5). [para(9(a,1),6172(a,1,2,2,2,1))]. given #5778 (H,wt=23): 6174 x \ L(y * a(z,z,u),w,v5) = a(z,z,u) * (x \ L(y,w,v5)). [para(7(a,1),6173(a,1,2,2)),flip(a)]. given #5779 (H,wt=23): 6175 x \ L(a(y,y,z) * u,w,v5) = a(y,y,z) * (x \ L(u,w,v5)). [hyper(64,a,6157,a,b,6174,a)]. given #5780 (H,wt=19): 6176 L(a(x,x,y) * z,u,w) = a(x,x,y) * L(z,u,w). [hyper(6133,a,6175,a),flip(a)]. given #5781 (H,wt=11): 6178 L(a(x,x,y) * y,x,x) = y. [hyper(306,a,5410,a(flip),b,6176,a),flip(a)]. given #5782 (H,wt=11): 6179 L(x * a(y,y,x),y,y) = x. [para(2554(a,1),6178(a,1,1))]. given #5783 (H,wt=19): 6177 L(a(x,x,y) * z,u,w) = L(z,u,w) * a(x,x,y). [hyper(6043,a,6175,a),flip(a)]. given #5784 (H,wt=20): 6180 L(L(a(x,x,L(y,z,u)) * y,z,u),x,x) = L(y,z,u). [para(6176(a,2),6178(a,1,1))]. given #5785 (H,wt=23): 6182 L(((x * x) * y) * a(z,z,x * (x * y)),z,z) = (x * x) * y. [para(6153(a,1),6179(a,1,1,2))]. given #5786 (H,wt=23): 6183 L(a(x,x,y) * z,u,w \ z) = z * (a(w,u,z) * a(x,x,y)). [hyper(306,a,5740,a(flip),b,6177,a),flip(a)]. given #5787 (H,wt=25): 6184 L(x * ((x \ a(y,y,L(z,x,x \ 1))) * z),y,y) = L(z,x,x \ 1). [para(6085(a,1),6180(a,1,1))]. given #5788 (H,wt=25): 6185 L(((x * x) * (x \ y)) * a(z,z,x * y),z,z) = (x * x) * (x \ y). [para(10(a,1),6182(a,1,1,2,3,2))]. given #5789 (H,wt=25): 6187 L((x * x) * ((x \ y) * a(z,z,x * y)),z,z) = (x * x) * (x \ y). [para(5986(a,1),6185(a,1,1))]. given #5790 (H,wt=31): 6186 L(x * (x * ((x \ a(y,y,L(x * z,x,x \ 1))) * z)),y,y) = L(x * z,x,x \ 1). [para(6087(a,1),6184(a,1,1,2))]. given #5791 (H,wt=26): 6188 L(x * (x * ((x \ a(y,y,x * z)) * z)),y,y) = L(x * z,x,x \ 1). [para(5992(a,1),6186(a,1,1,2,2,1,2))]. given #5792 (H,wt=38): 6147 L((x * a(y,x,x)) * L((x * a(y,x,x)) \ 1,z,u),x,y) = x * L(L(x * a(y,x,x),x,y) \ 1,z,u). [para(6146(a,1),4727(a,1,1)),flip(a)]. given #5793 (H,wt=30): 6190 L((x * a(y,x,x)) * L((x * a(y,x,x)) \ 1,z,u),x,y) = x * L(x \ 1,z,u). [para(6146(a,1),6147(a,2,2,1,1))]. given #5794 (H,wt=30): 6191 L((x * a(y,x,x)) * L(x \ (a(y,x,x) \ 1),z,u),x,y) = x * L(x \ 1,z,u). [para(5997(a,1),6190(a,1,1,2,1))]. given #5795 (H,wt=30): 6192 L(x * (a(y,x,x) * L(x \ (a(y,x,x) \ 1),z,u)),x,y) = x * L(x \ 1,z,u). [para(6073(a,1),6191(a,1,1))]. given #5796 (H,wt=30): 6193 L(x * L(a(y,x,x) * (x \ (a(y,x,x) \ 1)),z,u),x,y) = x * L(x \ 1,z,u). [para(6143(a,2),6192(a,1,1,2))]. given #5797 (H,wt=20): 6194 L(x * L(x \ 1,y,z),x,u) = x * L(x \ 1,y,z). [para(6017(a,1),6193(a,1,1,2,1))]. given #5798 (H,wt=25): 6195 (x * y) * (y * L(y \ 1,z,u)) = x * (y * (y * L(y \ 1,z,u))). [hyper(121,a,6194,a(flip),b,18,a(flip))]. given #5799 (H,wt=25): 6197 (x * (y * L(y \ 1,z,u))) * y = x * (y * (y * L(y \ 1,z,u))). [hyper(64,a,2623,a,b,6195,a)]. given #5800 (H,wt=35): 6198 R(x,y,x * L(x \ 1,z,u)) = (w * (x * L(x \ 1,v5,v6))) \ (w * (x * (x * L(x \ 1,v5,v6)))). [para(6197(a,1),4745(a,2,2))]. given #5801 (H,wt=32): 6199 R(x,y,x * L(x \ 1,z,u)) = L(T(x,x * L(x \ 1,w,v5)),x * L(x \ 1,w,v5),v6). [hyper(306,a,224,a(flip),b,6198,a),flip(a)]. given #5802 (H,wt=23): 6200 R(x,y,x * L(x \ 1,z,u)) = L(x,x * L(x \ 1,w,v5),v6). [para(1180(a,1),6199(a,2,1))]. given #5803 (H,wt=13): 6201 L(x,x * L(x \ 1,y,z),u) = x. [hyper(6075,a,6200,a)]. given #5804 (H,wt=22): 6202 L(R(x \ 1,y,z),x,u) * u = L(x,y \ 1,z \ 1) \ u. [para(6201(a,1),4389(a,1,1,1)),flip(a)]. given #5805 (H,wt=23): 6203 (x * R(x \ 1,y,z)) * (x \ u) = L(x,y \ 1,z \ 1) \ u. [hyper(64,a,2597,a(flip),b,6202,a)]. given #5806 (H,wt=23): 6204 (x * L(x \ 1,y,z)) * (x \ u) = L(x,y \ 1,z \ 1) \ u. [para(4097(a,1),6203(a,1,1,2))]. given #5807 (H,wt=21): 6208 L(x,y \ 1,z \ 1) \ u = a(x \ 1,y,z) * (x \ u). [para(5690(a,1),6204(a,1,1)),flip(a)]. given #5808 (H,wt=24): 6209 L(x,y \ 1,z \ 1) \ u != w * (x \ u) | a(x \ 1,y,z) = w. [para(6208(a,2),45(a,1))]. given #5809 (H,wt=27): 6207 T(x,(y \ z) * (y * L(y \ 1,u,w))) = T(x,L(y,u \ 1,w \ 1) \ z). [para(6204(a,1),1479(a,1,2)),flip(a)]. given #5810 (H,wt=25): 6211 T(x,(y \ z) * (y * L(y \ 1,u,w))) = T(x,z * L(y \ 1,u,w)). [hyper(306,a,4112,a(flip),b,6207,a),flip(a)]. given #5811 (H,wt=28): 6212 T(x,(y \ z) * (y * L(y \ 1,u,w))) != v5 | T(x,z * L(y \ 1,u,w)) = v5. [para(6207(a,2),4119(a,1))]. given #5812 (H,wt=31): 6210 T(x,a((y / z) \ 1,u,w) * ((z \ y) \ v5)) = T(x,L(y / z,u \ 1,w \ 1) \ v5). [para(6208(a,2),3097(a,1,2)),flip(a)]. given #5813 (H,wt=29): 6213 T(x,a((y / z) \ 1,u,w) * ((z \ y) \ v5)) = T(x,v5 * L((y / z) \ 1,u,w)). [hyper(306,a,4112,a(flip),b,6210,a),flip(a)]. given #5814 (H,wt=35): 6206 ((x / (x * y)) * L((x / (x * y)) \ 1,z,u)) * x = L(x / (x * y),z \ 1,u \ 1) \ (x / y). [para(396(a,1),6204(a,1,2))]. given #5815 (H,wt=33): 6214 L(x / (x * y),z \ 1,u \ 1) \ (x / y) = (x / (L((x * y) / x,z,u) \ (x * y))) * x. [para(4138(a,1),6206(a,1,1)),flip(a)]. given #5816 (H,wt=33): 6215 L(x / (x * y),z \ 1,u \ 1) \ (x / y) = (x / (L(x * (y / x),z,u) \ (x * y))) * x. [para(850(a,1),6214(a,2,1,2,1,1))]. given #5817 (H,wt=29): 6216 L(x / (x * y),z \ 1,u \ 1) \ (x / y) = (x / ((x / L(y,z,u)) * y)) * x. [para(3497(a,1),6215(a,2,1,2))]. given #5818 (H,wt=29): 6217 L(x / (x * y),z \ 1,u \ 1) \ (x / y) = x * (((x / L(y,z,u)) * y) \ x). [hyper(306,a,398,a(flip),b,6216,a),flip(a)]. given #5819 (H,wt=25): 6218 L(x / (x * y),z \ 1,u \ 1) \ (x / y) = (x / y) * L(y,z,u). [hyper(306,a,195,a(flip),b,6217,a),flip(a)]. given #5820 (H,wt=23): 6219 x / (y * L(y \ 1,z \ 1,u \ 1)) = (x / y) * L(y,z,u). [hyper(64,a,4141,a(flip),b,6218,a)]. given #5821 (H,wt=19): 6220 x / (y * (L(y,z,u) \ 1)) = (x / y) * L(y,z,u). [para(4105(a,1),6219(a,1,2,2))]. given #5822 (H,wt=17): 6221 x / (L(y,z,u) \ y) = (x / y) * L(y,z,u). [para(1199(a,1),6220(a,1,2))]. given #5823 (H,wt=19): 6222 L(L(x,y,z) \ x,L(x,y,z),u) = L(x,y,z) \ x. [hyper(1615,a,6221,a)]. given #5824 (H,wt=11): 6223 a(x,y,z) = L(z,y,x) \ z. [hyper(4796,a,6222,a)]. given #5825 (H,wt=11): 6225 L(x,y,z) * a(z,y,x) = x. [hyper(121,a,4795,a,b,6222,a(flip))]. given #5826 (H,wt=11): 6227 a(x,y,z) = z / L(z,y,x). [hyper(306,a,835,a,b,6223,a),flip(a)]. given #5827 (H,wt=15): 6234 (x / y) * L(y,z,u) = x / a(u,z,y). [para(6223(a,2),6221(a,1,2)),flip(a)]. given #5828 (H,wt=15): 6238 (x * y) / a(z,u,y) = x * L(y,u,z). [para(11(a,1),6234(a,1,1)),flip(a)]. given #5829 (H,wt=17): 6224 x \ ((x / L(y,z,u)) * y) = L(y,z,u) \ y. [hyper(64,a,4793,a(flip),b,6222,a)]. given #5830 (H,wt=17): 6241 x / (L(y,z,u) * (y \ x)) = L(y,z,u) \ y. [hyper(64,a,4791,a,b,6224,a)]. given #5831 (H,wt=17): 6243 (L(x,y,z) \ x) \ u = L(x,y,z) * (x \ u). [hyper(189,a,6241,a)]. given #5832 (H,wt=15): 6246 L(x,y,z) * (x \ u) = a(z,y,x) \ u. [para(6223(a,2),6243(a,1,1)),flip(a)]. given #5833 (H,wt=15): 6249 a(x,y,z) * (z \ u) = L(z,y,x) \ u. [hyper(1605,a,6246,a(flip))]. given #5834 (H,wt=15): 6250 x * (a(y,z,x) \ u) = L(x,z,y) * u. [hyper(121,a,6246,a(flip),b,1594,a)]. given #5835 (H,wt=13): 6255 a(x,y,z) \ u = a(z,y,x) * u. [hyper(35,a,5736,a,b,6250,a),flip(a)]. given #5836 (H,wt=13): 6257 x \ (x / a(y,z,u)) = a(u,z,y). [hyper(922,a,6255,a)]. given #5837 (H,wt=13): 6259 a(x,y,z) * (a(z,y,x) * u) = u. [hyper(288,a,6255,a),flip(a)]. given #5838 (H,wt=15): 6251 a(x,y,z) \ (z * u) = L(z,y,x) * u. [para(9(a,1),6246(a,1,2)),flip(a)]. given #5839 (H,wt=15): 6252 a(x \ 1,y \ 1,z) = a(z \ 1,y,x). [hyper(36,a,6208,a(flip),b,6249,a),flip(a)]. given #5840 (H,wt=13): 6268 a(x \ 1,y \ 1,z) = a(x,y,z). [hyper(306,a,5687,a(flip),b,6252,a),flip(a)]. given #5841 (H,wt=17): 6263 x / a(y,y \ 1,z) = x * a(z,y,y \ 1). [hyper(121,a,2341,a(flip),b,6257,a),flip(a)]. given #5842 (H,wt=17): 6272 a(x,y \ 1,K(z,u \ 1)) = a(u,y,K(x,z)). [hyper(4898,a,6268,a)]. given #5843 (H,wt=15): 6281 a(x,y \ 1,K(z,u)) = a(z,y,K(x,u)). [para(2072(a,1),6272(a,1,3))]. given #5844 (H,wt=18): 6237 T(x,a(y,z,u)) != w | T(x,L(u,z,y) \ u) = w. [para(6227(a,2),1539(a,1,2))]. given #5845 (H,wt=19): 6233 ((x \ L(x,y,z)) * u) \ 1 = (u \ 1) * a(z,y,x). [para(6223(a,2),1226(a,2,2))]. given #5846 (H,wt=17): 6284 (a(x,y,z) \ 1) * u = (z \ L(z,y,x)) * u. [hyper(572,a,6233,a)]. given #5847 (H,wt=19): 6267 a(x,y,K(z,u)) \ (z * w) = L(z,y,K(x,u)) * w. [para(4846(a,1),6251(a,1,1))]. given #5848 (H,wt=21): 6283 x * a(y,z,K(u,w * z)) = x * a(u,w,K(y,w * z)). [para(6281(a,1),4084(a,1,2))]. given #5849 (H,wt=17): 6287 a(x * y,x,K(z,u)) = a(u,y,K(z,x * y)). [hyper(36,a,4857,a,b,6283,a)]. given #5850 (H,wt=17): 6288 a(x * y,x,K(z,u)) = a(u,y,K(z,y * x)). [para(1953(a,1),6287(a,2,3))]. given #5851 (H,wt=22): 6286 a(x,y,K(z,u)) \ (z * w) != v5 * w | L(z,y,K(x,u)) = v5. [para(6267(a,2),45(a,1))]. given #5852 (H,wt=24): 6282 K(x,(y * z) \ ((y * (u \ 1)) * (u * z))) = a(u * z,u,K(x,y)). [hyper(64,a,5143,a,b,6281,a)]. given #5853 (H,wt=22): 6289 K((x * y) * ((z * y) \ (x \ z)),u) = a(z * y,z,K(u,x)). [hyper(64,a,5141,a(flip),b,6282,a)]. given #5854 (H,wt=17): 6290 a(x * y,x,K(z,u)) = a(z,x,K(y,x / u)). [hyper(64,a,5167,a(flip),b,6289,a),flip(a)]. given #5855 (H,wt=17): 6291 a(x * y,x,K(z,u)) = a(z,x,K(y,u \ x)). [para(1954(a,1),6290(a,2,3))]. given #5856 (H,wt=17): 6292 a(x * y,x,K(z,u)) = a(y,x,K(z,x \ u)). [hyper(306,a,4856,a,b,6291,a),flip(a)]. given #5857 (H,wt=17): 6293 a(x,y,K(z,y \ u)) = a(u,x,K(z,x * y)). [hyper(64,a,6288,a(flip),b,6292,a),flip(a)]. given #5858 (H,wt=15): 6294 a(x,y,K(z,y \ u)) = a(u,z,K(y,x)). [hyper(306,a,5177,a(flip),b,6293,a),flip(a)]. given #5859 (H,wt=15): 6295 a(x,y,K(z,u \ y)) = a(u,x,K(y,z)). [hyper(4896,a,6294,a)]. given #5860 (H,wt=10): 6296 a(x,K(y,z),K(u,w)) = 1. [hyper(64,a,4216,a(flip),b,6295,a),flip(a)]. given #5861 (H,wt=12): 6298 L(K(x,y),K(z,u),w) = K(x,y). [hyper(53,a,6296,a)]. given #5862 (H,wt=12): 6299 K(x,L(y,K(z,u),w)) = K(x,y). [hyper(3914,a,6298,a)]. given #5863 (H,wt=14): 6307 T(x,L(y,K(z,u),w)) = x * K(x,y). [para(6298(a,1),3827(a,1,2)),flip(a)]. given #5864 (H,wt=12): 6313 T(x,L(y,K(z,u),w)) = T(x,y). [hyper(306,a,1892,a,b,6307,a),flip(a)]. given #5865 (H,wt=15): 6311 K(x,L(y,a(z,u,K(w,v5)),v6)) = K(x,y). [para(3879(a,1),6299(a,1,2,2))]. given #5866 (H,wt=18): 6297 a(x,y,K(z,u)) != w | a(u,z,K(y,z \ x)) = w. [para(6295(a,1),4896(a,1))]. given #5867 (H,wt=18): 6310 K(x,L(L(y,K(z,u),w),v5,v6)) = K(x,L(y,v5,v6)). [para(30(a,1),6299(a,1,2))]. given #5868 (H,wt=19): 6303 (x * K(y,z)) * K(u,w) = x * (K(y,z) * K(u,w)). [hyper(121,a,6298,a(flip),b,18,a(flip))]. given #5869 (H,wt=10): 6317 L(x,K(y,z),K(u,w)) = x. [hyper(4099,a,6303,a)]. given #5870 (H,wt=19): 6306 (K(x,y) * K(z,u)) * w = K(x,y) * (K(z,u) * w). [para(6298(a,1),3166(a,1,1)),flip(a)]. given #5871 (H,wt=19): 6308 K(x,K(y,z) \ ((u \ K(y,z)) * w)) = K(x,u \ w). [hyper(4998,a,6299,a)]. given #5872 (H,wt=15): 6326 K(x,(y \ K(z,u)) * w) = K(x,y \ w). [hyper(2013,a,6308,a)]. given #5873 (H,wt=19): 6314 L(x,K(y,z),u) * T(w,x) = w * L(x,K(y,z),u). [hyper(121,a,6313,a(flip),b,22,a(flip))]. given #5874 (H,wt=19): 6318 K(x,y) * (z * (K(u,w) * K(y,x))) = z * K(u,w). [hyper(2920,a,6303,a)]. given #5875 (H,wt=19): 6325 K(x,K(y,z) * ((u \ K(w,v5)) * v6)) = K(x,u \ v6). [hyper(2127,a,6308,a)]. given #5876 (H,wt=15): 6330 K(x * (y \ K(z,u)),w) = K(w,x \ y). [hyper(64,a,3598,a(flip),b,6325,a)]. given #5877 (H,wt=21): 6320 x * (K(y,z) * K(u,x \ y)) = T(y,z) * T(y \ x,u). [hyper(64,a,3278,a(flip),b,6303,a),flip(a)]. given #5878 (H,wt=21): 6332 K(x,y * (z \ ((u \ 1) \ w))) = K(x,((u * w) \ z) \ y). [hyper(64,a,5187,a(flip),b,6330,a)]. given #5879 (H,wt=21): 6336 K(x,y * (z \ ((u \ 1) \ w))) = K(x,y * (z \ (u * w))). [hyper(306,a,5086,a(flip),b,6332,a),flip(a)]. given #5880 (H,wt=21): 6337 K(x,(y * ((z \ 1) / u)) \ w) = K(x,w * (y \ (u * z))). [hyper(5093,a,6336,a)]. given #5881 (H,wt=24): 6285 ((x \ L(x,y,z)) * u) * (u \ 1) = L(a(z,y,x) \ 1,u,u \ 1). [para(6284(a,1),2131(a,1,1))]. given #5882 (H,wt=23): 6338 L(a(x,y,z) \ 1,u,u \ 1) = L(z \ L(z,y,x),u,u \ 1). [hyper(2142,a,6285,a),flip(a)]. given #5883 (H,wt=22): 6339 L(x \ L(x,y,z),u,u \ 1) = u * ((a(z,y,x) * u) \ 1). [hyper(64,a,2333,a(flip),b,6338,a),flip(a)]. given #5884 (H,wt=25): 6312 (x * K(y,z)) * a(u,w,K(v5,v6)) = x * (K(y,z) * a(u,w,K(v5,v6))). [para(6299(a,1),4254(a,1,2,3))]. given #5885 (H,wt=25): 6315 (x * a(y,z,K(u,w))) * K(v5,v6) = x * (a(y,z,K(u,w)) * K(v5,v6)). [para(6311(a,1),3832(a,1,2))]. given #5886 (H,wt=25): 6328 K(x,(y \ K(z,u)) * ((w * v5) \ v6)) = K(x,y \ ((w \ (v5 \ 1)) * v6)). [hyper(64,a,5190,a(flip),b,6326,a)]. given #5887 (H,wt=21): 6346 K(x,y \ ((z \ (u \ 1)) * w)) = K(x,y \ ((z * u) \ w)). [hyper(64,a,6326,a(flip),b,6328,a),flip(a)]. given #5888 (H,wt=25): 6343 K(x,y) * (z * (a(u,w,K(v5,v6)) * K(y,x))) = z * a(u,w,K(v5,v6)). [hyper(2920,a,6315,a)]. given #5889 (H,wt=26): 6280 x * ((L(x \ 1,x,y) * z) * a(y,x,x \ 1)) = L(z,x,y \ (y / x)). [para(6263(a,1),4737(a,1,2))]. given #5890 (H,wt=26): 6316 K(x,(y * z) \ (y * (z * (K(u,w) * v5)))) = K(x,L(v5,z * K(u,w),y)). [hyper(64,a,4186,a(flip),b,6310,a)]. given #5891 (H,wt=26): 6321 (x * y) * (K(z,L(u,y,x)) * K(w,v5)) = (x * (y * K(z,u))) * K(w,v5). [para(3832(a,1),6303(a,1,1)),flip(a)]. given #5892 (H,wt=26): 6340 L(x * L(x \ 1,y,z),u,u \ 1) = u * ((a(z,y,x \ 1) * u) \ 1). [para(927(a,1),6339(a,1,1))]. given #5893 (H,wt=26): 6349 K(x,(y * z) \ (y * (z * (u * K(w,v5))))) = K(x,L(u,z * K(w,v5),y)). [para(244(a,1),6316(a,1,2,2,2,2))]. given #5894 (H,wt=21): 6352 K(x,L(y * K(z,u),w,v5)) = K(x,L(y,w * K(z,u),v5)). [para(18(a,2),6349(a,1,2))]. given #5895 (H,wt=17): 6353 K(x,L(y,z * K(u,w),v5)) = K(x,L(y,z,v5)). [hyper(3918,a,6352,a),flip(a)]. given #5896 (H,wt=19): 6355 K(x,L(y,z \ T(u,w),v5)) = K(x,L(y,z \ u,v5)). [para(2169(a,1),6353(a,1,2,2))]. given #5897 (H,wt=27): 6235 T((x \ y) * L((x \ y) \ 1,z,u),y \ 1) = a(u \ 1,z \ 1,y / x). [hyper(306,a,4410,a,b,6227,a)]. given #5898 (H,wt=23): 6357 T(a((x \ y) \ 1,z,u),y \ 1) = a(u \ 1,z \ 1,y / x). [para(5690(a,1),6235(a,1,1))]. given #5899 (H,wt=30): 6351 L(x \ (y * L(y \ x,z,u)),w,w \ 1) = w * ((a(u,z,(x \ y) \ 1) * w) \ 1). [para(2519(a,1),6340(a,1,1))]. given #5900 (H,wt=31): 6324 (x * (y * K(z,u))) \ ((x * y) * K(w,v5)) = ((x * (y * K(z,u))) \ (x * y)) * K(w,v5). [para(6317(a,1),3926(a,1,1))]. given #5901 (H,wt=26): 6358 (x * (y * K(z,u))) \ ((x * y) * K(w,v5)) = K(u,L(z,y,x)) * K(w,v5). [para(3922(a,1),6324(a,2,1))]. given #5902 (H,wt=29): 6361 (x * (y * K(z,u))) \ (x * (y * K(w,v5))) = K(u,L(z,y,x)) * K(w,L(v5,y,x)). [para(3832(a,1),6358(a,1,2))]. given #5903 (H,wt=23): 6363 K(x,L(y,z,u)) * K(y,L(L(x,z,u),z,u)) = a(x,z,K(y,u)). [hyper(5181,a,6361,a),flip(a)]. given #5904 (H,wt=26): 6365 K(x,L(y,z,u)) * K(y,L(L(x,z,u),z,u)) != w | a(x,z,K(y,u)) = w. [para(6361(a,1),5181(a,1))]. given #5905 (H,wt=29): 6362 (x * (y * K(z,u))) \ ((x * K(w,v5)) * y) = K(u,L(z,y,x)) * K(w,L(v5,x,y)). [para(3838(a,1),6358(a,1,2))]. given #5906 (H,wt=32): 6356 (x * (y * K(z,u))) * a(w,v5,K(v6,L(v7,y,x))) = x * ((y * K(z,u)) * a(w,v5,K(v6,v7))). [para(6353(a,1),4254(a,1,2,3))]. given #5907 (H,wt=32): 6360 (x * T(y * K(z,u),w)) \ ((x * T(y,w)) * K(v5,v6)) = K(u,L(z,T(y,w),x)) * K(v5,v6). [para(3092(a,2),6358(a,1,1,2))]. given #5908 (H,wt=30): 6366 (x * T(y * K(z,u),w)) \ ((x * T(y,w)) * K(v5,v6)) = K(u,L(z,y,x)) * K(v5,v6). [para(4189(a,1),6360(a,2,1))]. given #5909 (H,wt=33): 6333 K(x,y) * (T(x \ y,z) * T((y / x) \ u,w)) = u * (K(y / x,z) * K(w,u \ (y / x))). [hyper(306,a,3385,a,b,6320,a)]. given #5910 (H,wt=33): 6334 K(x,y) * (T(x / y,z) * T((y \ x) \ u,w)) = u * (K(y \ x,z) * K(w,u \ (y \ x))). [hyper(306,a,3384,a,b,6320,a)]. given #5911 (H,wt=33): 6341 L(x * ((a(y,z,u \ w) * x) \ 1),u \ w,u) = L(w \ (u * L(u \ w,z,y)),x,x \ 1). [para(6339(a,1),1131(a,1,1))]. given #5912 (H,wt=32): 6371 L(x * ((a(y,z,u \ w) * x) \ 1),u \ w,u) = x * ((a(y,z,(w \ u) \ 1) * x) \ 1). [hyper(306,a,6351,a(flip),b,6341,a),flip(a)]. given #5913 (H,wt=33): 6342 (x * (K(y,z) * K(u,w))) * a(v5,v6,K(v7,v8)) = (x * K(y,z)) * (K(u,w) * a(v5,v6,K(v7,v8))). [para(6303(a,1),6312(a,1,1))]. given #5914 (H,wt=33): 6345 (x * (a(y,z,K(u,w)) * K(v5,v6))) * K(v7,v8) = (x * a(y,z,K(u,w))) * (K(v5,v6) * K(v7,v8)). [para(6315(a,1),6303(a,1,1))]. given #5915 (H,wt=33): 6369 K(x,y) * (T(x \ y,z) * T((y / x) \ u,w)) = u * (K(z,y \ x) * K(w,u \ (y / x))). [para(2848(a,1),6333(a,2,2,1))]. given #5916 (H,wt=33): 6370 K(x,y) * (T(x / y,z) * T((y \ x) \ u,w)) = u * (K(z,x \ y) * K(w,u \ (y \ x))). [para(2843(a,1),6334(a,2,2,1))]. given #5917 (H,wt=33): 6373 K(x,y) * (T(x \ y,z) * T((y / x) \ u,w)) = u * (K(z,y \ x) * K(w,u \ (x \ y))). [para(2257(a,1),6369(a,2,2,2))]. given #5918 (H,wt=29): 6374 x * (K(y,z \ u) * K(w,x \ (u \ z))) = T(z / u,y) * T((z / u) \ x,w). [hyper(3386,a,6373,a),flip(a)]. given #5919 (H,wt=31): 6375 K(x,y) * (T(x / y,z) * T((y \ x) \ u,w)) = T(x / y,z) * T((x / y) \ u,w). [hyper(64,a,6370,a,b,6374,a)]. given #5920 (H,wt=27): 6376 T(x / y,z) * T((x / y) \ u,w) = T(y \ x,z) * T((y \ x) \ u,w). [hyper(3387,a,6375,a),flip(a)]. given #5921 (H,wt=31): 6377 T(T(x \ y,z) * T((x \ y) \ u,w),y / x) = T((y / x) \ u,w) * T(y / x,z). [para(6376(a,1),1486(a,1,1))]. given #5922 (H,wt=31): 6378 T(T(x \ y,z) * T((x \ y) \ u,w),x \ y) = T((y / x) \ u,w) * T(y / x,z). [hyper(1539,a,6377,a)]. given #5923 (H,wt=27): 6379 T((x / y) \ z,u) * T(x / y,w) = T((y \ x) \ z,u) * T(y \ x,w). [hyper(1506,a,6378,a),flip(a)]. given #5924 (H,wt=29): 6381 T((x \ T(T(y,z),u)) \ w,v5 * (y \ x)) * T(x \ T(T(y,z),u),v5) = T(w,v5). [hyper(64,a,4692,a(flip),b,6379,a),flip(a)]. given #5925 (H,wt=30): 6380 T((x / y) \ z,u) * T(x / y,w) != v5 | T((y \ x) \ z,u) * T(y \ x,w) = v5. [para(6378(a,1),1506(a,1))]. given #5926 (H,wt=35): 6367 (x * T(y * K(z,u),w)) \ ((x * K(v5,v6)) * T(y,w)) = K(u,L(z,y,x)) * K(v5,L(v6,x,T(y,w))). [para(3838(a,1),6366(a,1,2))]. given #5927 (H,wt=33): 6382 (x * T(y * K(z,u),w)) \ ((x * K(v5,v6)) * T(y,w)) = K(u,L(z,y,x)) * K(v5,L(v6,x,y)). [para(4229(a,1),6367(a,2,2))]. given #5928 (H,wt=25): 6383 K(x,L(y,z,u)) * K(y,L(x,u,z)) != w | a(u,K(y,x),T(z,v5)) = w. [para(6382(a,1),3093(a,1))]. given #5929 (H,wt=37): 6364 T(x * (y * K(z,u)),x * (y * K(w,v5))) / (x * (y * K(w,v5))) = K(v5,L(w,y,x)) * K(z,L(u,y,x)). [hyper(854,a,6361,a)]. given #5930 (H,wt=33): 6386 T(x * (y * K(z,u)),x * y) / (x * (y * K(w,v5))) = K(v5,L(w,y,x)) * K(z,L(u,y,x)). [para(2727(a,1),6364(a,1,1))]. given #5931 (H,wt=32): 6387 (L(K(x,y),z,u) * (u * z)) / (u * (z * K(w,v5))) = K(v5,L(w,z,u)) * K(x,L(y,z,u)). [para(821(a,1),6386(a,1,1))]. given #5932 (H,wt=32): 6389 (K(x,L(y,z,u)) * (u * z)) / (u * (z * K(w,v5))) = K(v5,L(w,z,u)) * K(x,L(y,z,u)). [para(3821(a,1),6387(a,1,1,1))]. given #5933 (H,wt=32): 6390 ((x * y) * K(z,L(u,y,x))) / (x * (y * K(w,v5))) = K(v5,L(w,y,x)) * K(z,L(u,y,x)). [para(244(a,1),6389(a,1,1))]. given #5934 (H,wt=29): 6391 (x * (y * K(z,u))) / (x * (y * K(w,v5))) = K(v5,L(w,y,x)) * K(z,L(u,y,x)). [para(3832(a,1),6390(a,1,1))]. given #5935 (H,wt=25): 6392 (x * (y * K(z,L(u,y,x)))) / (x * (y * K(z,u))) = a(u,y,K(z,x)). [hyper(306,a,6363,a(flip),b,6391,a),flip(a)]. given #5936 (H,wt=34): 6393 (x * (y * K(z,(x * y) \ u))) / (x * (y * K(z,y \ (x \ u)))) = a(y \ (x \ u),y,K(z,x)). [para(293(a,1),6392(a,1,1,2,2,2))]. given #5937 (H,wt=32): 6394 (x * (y * K(z,(x * y) \ u))) / (x * (y * K(z,y \ (x \ u)))) = a(z,y,K(x,y \ u)). [hyper(306,a,4859,a(flip),b,6393,a),flip(a)]. given #5938 (H,wt=30): 6395 K(x \ (y \ z),L(u,x,y)) * K(u,L((y * x) \ z,x,y)) = a(u,x,K(y,x \ z)). [hyper(64,a,6391,a(flip),b,6394,a)]. given #5939 (H,wt=27): 6396 K(x,y \ (z * u)) * K(x,L((z * u) \ y,u,z)) = a(x,u,K(z,u \ y)). [para(3913(a,1),6395(a,1,1))]. given #5940 (H,wt=19): 6397 a(x \ (y * z),z,K(y,u)) = a(u,z,K(y,z \ x)). [hyper(64,a,4991,a(flip),b,6396,a)]. given #5941 (H,wt=26): 6398 a(x \ y,y,K(z,y \ u)) != w | a(z,x,K(u \ (z * y),y \ x)) = w. [para(6397(a,1),4953(a,1))]. given #5942 (H,wt=21): 6399 a(x,y,K(z \ (x * u),u \ y)) = a(z,x,K(u,y \ u)). [hyper(6398,a,6294,a)]. given #5943 (H,wt=19): 6400 a(x,y,K(z \ (x * u),u \ y)) = a(z,x,K(y,u)). [hyper(306,a,4013,a(flip),b,6399,a),flip(a)]. given #5944 (H,wt=17): 6401 a(x,y,K(z,u \ (y * x))) = a(u,y,K(z,x)). [hyper(64,a,6295,a(flip),b,6400,a)]. given #5945 (H,wt=15): 6402 a(x,y,K(z,u \ y)) = a(u,y,K(z,x)). [hyper(64,a,5130,a(flip),b,6401,a)]. given #5946 (H,wt=13): 6403 a(x,y,K(z,u)) = a(x,u,K(y,z)). [hyper(64,a,6295,a(flip),b,6402,a),flip(a)]. given #5947 (H,wt=13): 6404 a(x,y,K(z,u)) = a(u,x,K(z,y)). [hyper(306,a,4847,a,b,6403,a)]. given #5948 (H,wt=15): 6405 x * a(x,y,K(z,u)) = T(x,a(y,z,u)). [para(6403(a,1),4871(a,1,2))]. given #5949 (H,wt=13): 6412 T(x,a(y,z,u)) = T(x,a(u,y,z)). [hyper(4872,a,6405,a),flip(a)]. given #5950 (H,wt=15): 6410 a(x,y,K(z,y \ u)) = a(z,x,K(y,u)). [hyper(306,a,6294,a,b,6404,a)]. given #5951 (H,wt=15): 6411 x * a(y,z,K(u,x)) = T(x,a(z,y,u)). [para(6404(a,2),4871(a,1,2))]. given #5952 (H,wt=15): 6414 T(T(x,a(y,z,u)),u) = T(x,L(u,y,z)). [para(6411(a,1),3947(a,1,1))]. given #5953 (H,wt=15): 6415 T(T(x,y),a(z,u,y)) = T(x,L(y,z,u)). [hyper(544,a,6414,a)]. given #5954 (H,wt=15): 6417 T(T(x,y),a(z,y,u)) = T(x,L(y,u,z)). [hyper(64,a,6412,a,b,6415,a)]. given #5955 (H,wt=16): 6406 a(x,y,K(z,u)) != w | a(y,u,K(z,x)) = w. [para(6403(a,2),4898(a,1))]. given #5956 (H,wt=17): 6407 K(x,y) * a(x,y,K(z,u)) = K(x,L(y,z,u)). [para(6403(a,1),4861(a,1,2))]. given #5957 (H,wt=17): 6408 K(x,y) * a(y,z,K(u,x)) = K(x,L(y,u,z)). [para(6403(a,1),4862(a,1,2))]. given #5958 (H,wt=15): 6418 K(x,L(y,z,u \ 1)) = K(x,L(y,u,z)). [hyper(4952,a,6408,a)]. given #5959 (H,wt=15): 6419 K(x,L(y,z,u \ x)) = K(x,L(y,u,z)). [hyper(4951,a,6408,a)]. given #5960 (H,wt=17): 6422 T(x,L(y,z,u \ 1)) = x * K(x,L(y,u,z)). [hyper(121,a,6418,a(flip),b,1935,a),flip(a)]. given #5961 (H,wt=15): 6424 T(x,L(y,z,u \ 1)) = T(x,L(y,u,z)). [hyper(306,a,1892,a,b,6422,a),flip(a)]. given #5962 (H,wt=18): 6416 T(x,L(y,z,u)) != T(w,y) | T(x,a(z,u,y)) = w. [para(6414(a,1),50(a,1))]. given #5963 (H,wt=18): 6420 K(x,L(y,z,u)) != w | K(x,L(y,u,z \ 1)) = w. [para(6408(a,1),4952(a,1))]. given #5964 (H,wt=18): 6423 K(x,L(y,z,u \ 1)) != w | K(x,L(y,u,z)) = w. [para(6418(a,1),4394(a,1))]. given #5965 (H,wt=18): 6425 T(x,L(y,z,u \ 1)) != w | T(x,L(y,u,z)) = w. [para(6422(a,2),1894(a,1))]. given #5966 (H,wt=19): 6421 K(x,L(y,z,(z \ 1) \ u)) = K(x,L(y,u,z \ 1)). [hyper(4949,a,6418,a),flip(a)]. given #5967 (H,wt=19): 6427 T(x,L(y \ 1,z,u \ 1)) = T(x,R(y,u,z) \ 1). [para(2581(a,1),6424(a,1,2)),flip(a)]. given #5968 (H,wt=17): 6429 T(x,L(y \ 1,z,u)) = T(x,R(y,z,u) \ 1). [hyper(6425,a,6427,a)]. given #5969 (H,wt=17): 6430 T(x,L(y \ 1,z,u)) = T(x,L(y,z,u) \ 1). [para(4097(a,1),6429(a,2,2,1))]. given #5970 (H,wt=19): 6428 K(x,L(y,z,u * (1 \ z))) = K(x,L(y,u,z \ 1)). [hyper(5099,a,6421,a)]. given #5971 (H,wt=17): 6432 K(x,L(y,z,u \ 1)) = K(x,L(y,u,z * u)). [para(66(a,1),6428(a,1,2,3,2)),flip(a)]. given #5972 (H,wt=15): 6433 K(x,L(y,z,u * z)) = K(x,L(y,z,u)). [hyper(6423,a,6432,a),flip(a)]. given #5973 (H,wt=19): 6434 K(x,L(y,z * u,u \ 1)) = K(x,L(y,z,u \ 1)). [hyper(306,a,6418,a,b,6432,a)]. given #5974 (H,wt=20): 6409 K(x,y) * a(x,y,K(z,u)) != w | K(x,L(y,z,u)) = w. [para(6403(a,1),4864(a,1,2))]. given #5975 (H,wt=20): 6431 T(x,L(y \ 1,z,u)) * L(y,z,u) = L(y,z,u) * x. [hyper(120,a,6430,a,b,2051,a(flip))]. given #5976 (H,wt=22): 6426 T(x,((y \ 1) * z) \ (y \ (u * z))) = T(x,L(T(u,z),y,z)). [hyper(64,a,6033,a,b,6424,a)]. given #5977 (H,wt=20): 6437 T(x,((y \ 1) * z) \ (y \ (u * z))) = T(x,L(u,y,z)). [hyper(306,a,1499,a(flip),b,6426,a),flip(a)]. given #5978 (H,wt=18): 6439 T(x,(y \ (z * u)) * (u \ y)) = T(x,L(z,y,u)). [hyper(64,a,6019,a(flip),b,6437,a)]. given #5979 (H,wt=18): 6440 T(x,(y \ z) * (z \ (u * y))) = T(x,L(u,z,y)). [hyper(1529,a,6439,a)]. given #5980 (H,wt=22): 6436 (L(x,y,z) * u) * a(z,y,x) = T(u,L(x \ 1,y,z)) * x. [hyper(120,a,6431,a(flip),b,6238,a)]. given #5981 (H,wt=24): 6413 K(x,y \ ((y / z) * (u * z))) = K(x,u) * a(x,T(u,z),K(z,y)). [para(6410(a,1),5102(a,2,2))]. given #5982 (H,wt=22): 6442 K(x,y \ ((y / z) * (u * z))) = K(x,u) * a(x,u,K(z,y)). [para(4195(a,1),6413(a,2,2))]. given #5983 (H,wt=18): 6443 K(x,y \ ((y / z) * (u * z))) = K(x,L(u,z,y)). [hyper(306,a,6407,a(flip),b,6442,a),flip(a)]. given #5984 (H,wt=18): 6445 K(x,y \ ((z \ y) * (u * z))) = K(x,L(u,z,y)). [hyper(4067,a,6443,a)]. given #5985 (H,wt=15): 6446 K(x,L(y,z,z \ u)) = K(x,L(y,z,u)). [hyper(64,a,4069,a(flip),b,6445,a)]. given #5986 (H,wt=17): 6447 T(x,L(y,z,z \ u)) = x * K(x,L(y,z,u)). [hyper(121,a,6446,a(flip),b,1935,a),flip(a)]. given #5987 (H,wt=15): 6448 T(x,L(y,z,z \ u)) = T(x,L(y,z,u)). [hyper(306,a,1892,a,b,6447,a),flip(a)]. given #5988 (H,wt=24): 6441 T((x \ y) \ z,y \ (u * x)) * T(x \ y,u) = T(z,L(u,y,x)). [hyper(64,a,4126,a,b,6440,a)]. given #5989 (H,wt=32): 6449 T(x,L((y \ (y / z)) \ u,y \ (z \ y),(y \ (z \ y)) \ y)) = T(x,(y / z) \ (y * u)). [para(3163(a,1),6448(a,2,2))]. given #5990 (H,wt=32): 6451 T(x,L((y \ (y / z)) \ u,y \ (z \ y),((z \ y) \ y) * y)) = T(x,(y / z) \ (y * u)). [para(912(a,1),6449(a,1,2,3))]. given #5991 (H,wt=30): 6452 T(x,L((y \ (y / z)) \ u,y \ (z \ y),T(z,y) * y)) = T(x,(y / z) \ (y * u)). [para(403(a,2),6451(a,1,2,3,1))]. given #5992 (H,wt=30): 6453 T(x,L((y \ (y / z)) \ u,y \ (z \ y),T(z * y,y))) = T(x,(y / z) \ (y * u)). [para(819(a,2),6452(a,1,2,3))]. given #5993 (H,wt=28): 6454 T(x,L((y \ (y / z)) \ u,y \ (z \ y),z * y)) = T(x,(y / z) \ (y * u)). [hyper(4239,a,6453,a)]. given #5994 (H,wt=19): 6455 T(x,(y / z) \ (y * u)) = T(x,y \ ((y * z) * u)). [para(3723(a,1),6454(a,1,2)),flip(a)]. given #5995 (H,wt=19): 6456 T(x,(y \ z) \ (z * u)) = T(x,z \ ((z * y) * u)). [hyper(3111,a,6455,a)]. given #5996 (H,wt=19): 6457 T(x,y \ ((y * z) * u)) = T(x,(y * u) * (y \ z)). [hyper(64,a,4054,a(flip),b,6455,a),flip(a)]. given #5997 (H,wt=19): 6458 T(x,(y \ z) \ (u * z)) = T(x,z \ ((z * y) * u)). [hyper(2266,a,6456,a)]. given #5998 (H,wt=19): 6459 T(x,(y \ (z \ u)) \ u) = T(x,u \ ((u * y) * z)). [hyper(1563,a,6458,a)]. given #5999 (H,wt=19): 6460 T(x,y \ ((y * z) * u)) = T(x,y * ((u \ y) \ z)). [hyper(64,a,4052,a(flip),b,6459,a),flip(a)]. given #6000 (H,wt=19): 6461 T(x,(y * z) * (y \ u)) = T(x,y * ((z \ y) \ u)). [hyper(64,a,6457,a(flip),b,6460,a)]. given #6001 (H,wt=19): 6462 T(x,(y \ z) * (y * u)) = T(x,y * ((u \ y) \ z)). [hyper(1529,a,6461,a)]. given #6002 (H,wt=25): 6464 T(x,y * ((L(y \ 1,z,u) \ y) \ w)) = T(x,w * L(y \ 1,z,u)). [hyper(6212,a,6462,a),flip(a)]. given #6003 (H,wt=30): 6463 T(x,y * ((L(y \ 1,z,u) \ y) \ w)) != v5 | T(x,w * L(w \ (y \ w),z,u)) = v5. [para(6461(a,1),2604(a,1))]. given #6004 (H,wt=23): 6465 T(x,y * L(y \ (z \ y),u,w)) = T(x,y * L(z \ 1,u,w)). [hyper(6463,a,6464,a)]. given #6005 (H,wt=31): 6466 T(x,(y \ z) * ((z \ (y * L(y \ z,u,w))) * v5)) = T(x,v5 * L((z \ y) \ 1,u,w)). [hyper(64,a,4404,a,b,6465,a)]. given #6006 (H,wt=29): 6467 T(x,(y \ z) * (a((z \ y) \ 1,u,w) * v5)) = T(x,v5 * L((z \ y) \ 1,u,w)). [para(5712(a,1),6466(a,1,2,2,1))]. given #6007 (H,wt=37): 6435 K(x,L(y,z \ T(z * u,w),T((z \ 1) \ u,w) \ 1)) = K(x,L(y,z \ 1,T((z \ 1) \ u,w) \ 1)). [para(1291(a,1),6434(a,1,2,2))]. given #6008 (H,wt=37): 6468 K(x,L(y,z \ T(z * u,w),T(((z \ 1) \ u) \ 1,w))) = K(x,L(y,z \ 1,T((z \ 1) \ u,w) \ 1)). [para(2071(a,2),6435(a,1,2,3))]. given #6009 (H,wt=35): 6469 K(x,L(y,z \ T(z * u,w),T((u \ 1) / z,w))) = K(x,L(y,z \ 1,T((z \ 1) \ u,w) \ 1)). [para(569(a,1),6468(a,1,2,3,1))]. given #6010 (H,wt=33): 6470 K(x,L(y,z \ T(z * u,w),(u \ 1) / z)) = K(x,L(y,z \ 1,T((z \ 1) \ u,w) \ 1)). [hyper(64,a,4229,a(flip),b,6469,a)]. given #6011 (H,wt=33): 6472 K(x,L(y,z \ T(z * u,w),z \ (u \ 1))) = K(x,L(y,z \ 1,T((z \ 1) \ u,w) \ 1)). [hyper(64,a,4233,a(flip),b,6470,a)]. given #6012 (H,wt=31): 6473 K(x,L(y,z \ (z * u),z \ (u \ 1))) = K(x,L(y,z \ 1,T((z \ 1) \ u,w) \ 1)). [hyper(64,a,6355,a(flip),b,6472,a)]. given #6013 (H,wt=27): 6475 K(x,L(y,z \ 1,T((z \ 1) \ u,w) \ 1)) = K(x,L(y,u,z \ (u \ 1))). [para(9(a,1),6473(a,1,2,2)),flip(a)]. given #6014 (H,wt=27): 6476 K(x,L(y,z \ 1,T(((z \ 1) \ u) \ 1,w))) = K(x,L(y,u,z \ (u \ 1))). [para(1611(a,1),6475(a,1,2,3))]. given #6015 (H,wt=25): 6477 K(x,L(y,z \ 1,T((u \ 1) / z,w))) = K(x,L(y,u,z \ (u \ 1))). [para(569(a,1),6476(a,1,2,3,1))]. given #6016 (H,wt=23): 6478 K(x,L(y,z \ 1,z \ (u \ 1))) = K(x,L(y,u,z \ (u \ 1))). [para(108(a,1),6477(a,1,2,3))]. given #6017 (H,wt=23): 6479 K(x,L(y,z,(z \ (u \ 1)) \ 1)) = K(x,L(y,u,z \ (u \ 1))). [hyper(4396,a,6478,a)]. given #6018 (H,wt=21): 6480 K(x,L(y,z,u \ (z \ 1))) = K(x,L(y,u,z / (u \ 1))). [para(568(a,1),6479(a,1,2,3)),flip(a)]. given #6019 (H,wt=21): 6481 K(x,L(y,z,(z \ 1) \ u)) = K(x,L(y,u,z \ (u \ 1))). [hyper(306,a,4233,a(flip),b,6480,a)]. given #6020 (H,wt=21): 6482 K(x,L(y,z,u \ (z \ 1))) = K(x,L(y,u,z * (1 \ u))). [hyper(5099,a,6481,a),flip(a)]. given #6021 (H,wt=19): 6483 K(x,L(y,z,u \ (z \ 1))) = K(x,L(y,u,z * u)). [para(66(a,1),6482(a,2,2,3,2))]. given #6022 (H,wt=30): 6484 K(x,((y \ (z \ 1)) * z) \ ((y \ (z \ 1)) * (u * z))) = K(x,L(T(u,z),y,z * y)). [para(224(a,2),6483(a,1,2))]. given #6023 (H,wt=30): 6485 K(x,(y * ((y \ 1) / z)) \ ((z \ (y \ 1)) * (u * y))) = K(x,L(T(u,y),z,y * z)). [para(2087(a,1),6484(a,1,2,1))]. given #6024 (H,wt=28): 6486 K(x,(y * ((y \ 1) / z)) \ ((z * y) \ (u * y))) = K(x,L(T(u,y),z,y * z)). [hyper(64,a,6346,a(flip),b,6485,a)]. given #6025 (H,wt=26): 6487 K(x,((y * z) \ (u * z)) * (z \ (y * z))) = K(x,L(T(u,z),y,z * y)). [hyper(64,a,6337,a(flip),b,6486,a)]. given #6026 (H,wt=24): 6488 K(x,((y * z) \ (u * z)) * T(y,z)) = K(x,L(T(u,z),y,z * y)). [para(22(a,2),6487(a,1,2,2))]. given #6027 (H,wt=22): 6489 K(x,((y * z) \ (u * y)) * z) = K(x,L(T(u,y),z,y * z)). [para(3070(a,1),6488(a,1,2))]. given #6028 (H,wt=22): 6490 K(x,y * ((z * y) \ (u * z))) = K(x,L(T(u,z),y,z * y)). [hyper(1979,a,6489,a)]. given #6029 (H,wt=20): 6491 K(x,y * ((z * y) \ (u * z))) = K(x,L(u,y,z * y)). [hyper(306,a,1952,a(flip),b,6490,a),flip(a)]. given #6030 (H,wt=22): 6492 a(x,y,K(z,u)) * K(x,L(z,u,y)) = K(x,L(z,y,u * y)). [hyper(5198,a,6491,a)]. given #6031 (H,wt=20): 6494 K(x,L(L(y,z,u \ 1),u,z)) = K(x,L(y,z,u * z)). [hyper(64,a,5107,a(flip),b,6492,a)]. given #6032 (H,wt=38): 6181 L((x * a(y,y,x)) * L((x * a(y,y,x)) \ 1,z,u),y,y) = x * L(L(x * a(y,y,x),y,y) \ 1,z,u). [para(6179(a,1),4727(a,1,1)),flip(a)]. given #6033 (H,wt=30): 6495 L((x * a(y,y,x)) * L((x * a(y,y,x)) \ 1,z,u),y,y) = x * L(x \ 1,z,u). [para(6179(a,1),6181(a,2,2,1,1))]. given #6034 (H,wt=30): 6496 L(x * (a(y,y,x) * L(a(y,y,x) \ (x \ 1),z,u)),y,y) = x * L(x \ 1,z,u). [para(1419(a,1),6495(a,1,1))]. given #6035 (H,wt=30): 6497 L(x * L(a(y,y,x) * (a(y,y,x) \ (x \ 1)),z,u),y,y) = x * L(x \ 1,z,u). [para(6176(a,2),6496(a,1,1,2))]. given #6036 (H,wt=20): 6498 L(x * L(x \ 1,y,z),u,u) = x * L(x \ 1,y,z). [para(10(a,1),6497(a,1,1,2,1))]. given #6037 (H,wt=22): 6500 L(R(x,y,z) \ x,u,u) = x * L(x \ 1,y \ 1,z \ 1). [para(2580(a,1),6498(a,1,1))]. given #6038 (H,wt=16): 6501 L(R(x,y,z) \ x,u,u) = R(x,y,z) \ x. [hyper(2351,a,6500,a,b,6500,a)]. given #6039 (H,wt=16): 6502 L(L(x,y,z) \ x,u,u) = R(x,y,z) \ x. [para(4097(a,1),6501(a,1,1,1))]. given #6040 (H,wt=16): 6503 L(L(x,y,z) \ x,u,u) = L(x,y,z) \ x. [hyper(2351,a,6502,a,b,6502,a)]. given #6041 (H,wt=11): 6504 a(x,x,L(y,z,u) \ y) = 1. [hyper(117,a,6503,a,b,6225,a),flip(a)]. given #6042 (H,wt=9): 6505 a(x,x,a(y,z,u)) = 1. [para(6223(a,2),6504(a,1,3))]. given #6043 (H,wt=11): 6506 a(a(x,y,z),u,u) * 1 = 1. [hyper(117,a,6505,a,b,6259,a),flip(a)]. given #6044 (H,wt=9): 6508 a(a(x,y,z),u,u) = 1. [hyper(130,a,6506,a)]. given #6045 (H,wt=14): 6507 a(x,x,a(y,z,u)) * w != v5 | v5 = w. [para(6505(a,2),122(a,1,1))]. given #6046 (H,wt=15): 6511 (a(x,y,z) \ u) \ 1 = u \ a(x,y,z). [hyper(118,a,6508,a(flip),b,5245,a(flip))]. given #6047 (H,wt=15): 6514 (a(x,y,z) * u) \ 1 = u \ a(z,y,x). [para(6255(a,1),6511(a,1,1))]. given #6048 (H,wt=30): 6515 L(x * (x \ a(y \ z,u,w)),y \ z,y) = x * ((a(w,u,(z \ y) \ 1) * x) \ 1). [para(6514(a,1),6371(a,1,1,2))]. given #6049 (H,wt=26): 6516 L(a(x \ y,z,u),x \ y,x) = w * ((a(u,z,(y \ x) \ 1) * w) \ 1). [para(10(a,1),6515(a,1,1))]. given #6050 (H,wt=21): 6517 x * ((a(y,z,(u \ w) \ 1) * x) \ 1) = a(w \ u,z,y). [hyper(64,a,5675,a(flip),b,6516,a),flip(a)]. given #6051 (H,wt=19): 6520 x * (x \ a((y \ z) \ 1,u,w)) = a(z \ y,u,w). [para(6514(a,1),6517(a,1,2))]. given #6052 (H,wt=15): 6521 a((x \ y) \ 1,z,u) = a(y \ x,z,u). [hyper(263,a,6520,a)]. given #6053 (H,wt=21): 6525 T(a(x \ y,z,u),x \ 1) = a(u \ 1,z \ 1,x / y). [para(6521(a,1),6357(a,1,1))]. given #6054 (H,wt=21): 6527 a(x \ 1,y \ 1,z / u) = a(z \ u,y,T(x,z \ 1)). [hyper(5505,a,6525,a),flip(a)]. given #6055 (H,wt=17): 6528 a(x \ 1,y \ 1,z / u) = a(u / z,y,x). [hyper(306,a,5515,a(flip),b,6527,a),flip(a)]. given #6056 (H,wt=15): 6529 a((x / y) \ 1,z,u) = a(y / x,z,u). [hyper(64,a,6252,a(flip),b,6528,a)]. given #6057 (H,wt=26): 6530 T(x,((y \ z) \ (u * w)) * a(y / z,u,w)) = T(x,w * ((y \ z) \ u)). [para(6529(a,1),6114(a,1,2,2))]. given #6058 (H,wt=26): 6531 T(x,a(y / z,u,w) * ((y \ z) \ (u * w))) = T(x,w * ((y \ z) \ u)). [hyper(1529,a,6530,a)]. given #6059 (H,wt=27): 6526 T(x,(y \ z) * (a(y \ z,u,w) * v5)) = T(x,v5 * L((z \ y) \ 1,u,w)). [para(6521(a,1),6467(a,1,2,2,1))]. given #6060 (H,wt=23): 6532 T(x,y * L((z \ u) \ 1,w,v5)) = T(x,L(u \ z,w,v5) * y). [para(5736(a,1),6526(a,1,2)),flip(a)]. given #6061 (H,wt=23): 6533 T(x,y * L((z \ u) \ 1,w,v5)) = T(x,y * L(u \ z,w,v5)). [hyper(306,a,1479,a,b,6532,a),flip(a)]. given #6062 (H,wt=23): 6534 T(x,y * L((z / u) \ 1,w,v5)) = T(x,y * L(z \ u,w,v5)). [hyper(64,a,4810,a,b,6533,a)]. given #6063 (H,wt=27): 6535 T(x,a((y / z) \ 1,u,w) * ((z \ y) \ v5)) = T(x,v5 * L(y \ z,u,w)). [hyper(64,a,6213,a,b,6534,a)]. given #6064 (H,wt=25): 6537 T(x,a(y / z,u,w) * ((y \ z) \ v5)) = T(x,v5 * L(z \ y,u,w)). [para(6529(a,1),6535(a,1,2,1))]. given #6065 (H,wt=22): 6538 T(x,(y * z) * L(u \ w,y,z)) = T(x,z * ((w \ u) \ y)). [hyper(64,a,6531,a(flip),b,6537,a),flip(a)]. given #6066 (H,wt=21): 6539 T(x,y * (T(z,y) * (u \ w))) = T(x,y * ((w \ u) \ z)). [para(3128(a,1),6538(a,1,2))]. given #6067 (H,wt=19): 6540 T(x,y * ((z \ u) \ w)) = T(x,y * (w * (u \ z))). [hyper(64,a,2732,a(flip),b,6539,a),flip(a)]. given #6068 (H,wt=19): 6543 T(x,y * ((z / u) \ w)) = T(x,y * (w * (z \ u))). [hyper(64,a,3097,a,b,6540,a)]. given #6069 (H,wt=25): 6542 T(x,y * (((z \ 1) / u) \ (w \ v5))) = T(x,y * ((z * u) * (w \ v5))). [hyper(64,a,6117,a,b,6540,a)]. given #6070 (H,wt=23): 6544 T(x,y * (((z \ 1) / u) \ (1 \ w))) = T(x,y * ((z * u) * w)). [para(66(a,1),6542(a,2,2,2,2))]. given #6071 (H,wt=21): 6545 T(x,y * (((z \ 1) / u) \ w)) = T(x,y * ((z * u) * w)). [para(66(a,1),6544(a,1,2,2,2))]. given #6072 (H,wt=21): 6546 T(x,y * (z * ((u \ 1) \ w))) = T(x,y * ((u * w) * z)). [hyper(64,a,6543,a(flip),b,6545,a)]. given #6073 (H,wt=26): 6547 T(x,L(y,z,z) * ((z * y) * z)) = T(x,(y / (z \ 1)) * (y / (z \ 1))). [hyper(6099,a,6546,a),flip(a)]. given #6074 (H,wt=26): 6548 T(x,L(y,z,z) * (z * (y * z))) = T(x,(y / (z \ 1)) * (y / (z \ 1))). [para(764(a,1),6547(a,1,2,2))]. given #6075 (H,wt=26): 6549 T(x,L(y,z,z) * (z * (y * z))) = T(x,(y / (z \ 1)) * ((z \ 1) \ y)). [hyper(306,a,2734,a(flip),b,6548,a),flip(a)]. given #6076 (H,wt=26): 6550 T(x,L(y,z,z) * (z * (y * z))) = T(x,y * (((z \ 1) * (z \ 1)) \ y)). [para(33(a,1),6549(a,2,2))]. given #6077 (H,wt=24): 6551 T(x,L(y,z,z) * (z * (y * z))) = T(x,y * ((z \ (z \ 1)) \ y)). [para(351(a,1),6550(a,2,2,2,1))]. given #6078 (H,wt=24): 6552 T(x,L(y,z,z) * (z * (y * z))) = T(x,y * (y * ((z \ 1) \ z))). [hyper(306,a,6540,a(flip),b,6551,a),flip(a)]. given #6079 (H,wt=22): 6553 T(x,L(y,z,z) * (z * (y * z))) = T(x,y * (y * (z * z))). [para(911(a,1),6552(a,2,2,2,2))]. given #6080 (H,wt=23): 6554 T(T(x,y * (y * (z * z))),u) = T(x,(z * y) * ((z * y) * u)). [para(6553(a,1),4200(a,1,1))]. given #6081 (H,wt=23): 6555 T(T(x,y * y),z * (z * u)) = T(x,(y * z) * ((y * z) * u)). [hyper(64,a,4133,a(flip),b,6554,a)]. given #6082 (H,wt=23): 6556 T(x,(y * z) * ((y * z) * u)) = T(x,y * (y * (z * (z * u)))). [hyper(64,a,4130,a(flip),b,6555,a),flip(a)]. given #6083 (H,wt=25): 6557 T(x,y * (y * (z * (z * (u \ (z \ (y \ 1))))))) = T(x,u \ (y * z)). [hyper(64,a,6112,a(flip),b,6556,a),flip(a)]. given #6084 (H,wt=21): 6558 T(x,y * (y * ((y \ 1) * (z \ u)))) = T(x,z \ (y * u)). [hyper(64,a,6095,a(flip),b,6557,a)]. given #6085 (H,wt=20): 6559 T(x,y * L(z \ u,y,y \ 1)) = T(x,z \ (y * u)). [para(2323(a,1),6558(a,1,2,2))]. given #6086 (H,wt=38): 6372 (x * (K(y,z) * K(u,w))) * a(v5,v6,K(v7,L(v8,K(v9,v10),v11))) = (x * K(y,z)) * (K(u,w) * a(v5,v6,K(v7,v8))). [para(6299(a,1),6342(a,2,2,2,3))]. given #6087 (H,wt=33): 6560 (x * K(y,z)) * (K(u,w) * a(v5,v6,K(v7,v8))) = x * ((K(y,z) * K(u,w)) * a(v5,v6,K(v7,v8))). [hyper(64,a,6356,a(flip),b,6372,a),flip(a)]. given #6088 (H,wt=33): 6561 (x * K(y,z)) * (K(u,w) * a(v5,v6,K(v7,v8))) = x * (K(y,z) * (K(u,w) * a(v5,v6,K(v7,v8)))). [para(6306(a,1),6560(a,2,2))]. given #6089 (H,wt=33): 6562 (x * (K(y,z) * K(u,w))) * a(v5,v6,K(v7,v8)) = x * (K(y,z) * (K(u,w) * a(v5,v6,K(v7,v8)))). [hyper(64,a,6342,a,b,6561,a)]. given #6090 (H,wt=40): 6347 K(x,y) * (((z * u) * K(w,v5)) * (a(R(z,u,K(w,v5)),u,K(w,v5)) * K(y,x))) = (R(z,u,K(w,v5)) * u) * K(w,v5). [hyper(306,a,1086,a(flip),b,6343,a),flip(a)]. given #6091 (H,wt=35): 6563 K(x,y) * (((z * u) * K(w,v5)) * (a(z,u,K(w,v5)) * K(y,x))) = (R(z,u,K(w,v5)) * u) * K(w,v5). [para(5363(a,1),6347(a,1,2,2,1))]. given #6092 (H,wt=41): 6344 ((x * a(y,z,K(u,w))) * K(v5,L(v6,x,a(y,z,K(u,w))))) * K(v7,v8) = (x * K(v5,v6)) * (a(y,z,K(u,w)) * K(v7,v8)). [para(3838(a,2),6315(a,1,1))]. given #6093 (H,wt=33): 6564 ((x * a(y,z,K(u,w))) * K(v5,v6)) * K(v7,v8) = (x * K(v5,v6)) * (a(y,z,K(u,w)) * K(v7,v8)). [para(4230(a,1),6344(a,1,1,2))]. given #6094 (H,wt=33): 6566 (x * (a(y,z,K(u,w)) * K(v5,v6))) * K(v7,v8) = (x * K(v5,v6)) * (a(y,z,K(u,w)) * K(v7,v8)). [para(6315(a,1),6564(a,1,1))]. given #6095 (H,wt=41): 6350 (x * a(y,z,K(u,w))) * (K(v5,L(v6,x,a(w,z,K(y,u)))) * K(v7,v8)) = (a(w,z,K(y,u)) * (x * K(v5,v6))) * K(v7,v8). [para(4857(a,1),6321(a,1,1))]. given #6096 (H,wt=33): 6567 (a(x,y,K(z,u)) * (w * K(v5,v6))) * K(v7,v8) = (w * a(z,y,K(u,x))) * (K(v5,v6) * K(v7,v8)). [para(4230(a,1),6350(a,1,2,1)),flip(a)]. given #6097 (H,wt=33): 6568 (x * a(y,z,K(u,w))) * (K(v5,v6) * K(v7,v8)) = a(w,z,K(y,u)) * ((x * K(v5,v6)) * K(v7,v8)). [hyper(64,a,4235,a(flip),b,6567,a),flip(a)]. given #6098 (H,wt=33): 6570 (x * a(y,z,K(u,w))) * (K(v5,v6) * K(v7,v8)) = a(w,z,K(y,u)) * (x * (K(v5,v6) * K(v7,v8))). [para(6303(a,1),6568(a,2,2))]. given #6099 (H,wt=33): 6571 (x * (a(y,z,K(u,w)) * K(v5,v6))) * K(v7,v8) = a(w,z,K(y,u)) * (x * (K(v5,v6) * K(v7,v8))). [hyper(64,a,6345,a,b,6570,a)]. given #6100 (H,wt=33): 6572 a(x,y,K(z,u)) * (w * (K(v5,v6) * K(v7,v8))) = (w * K(v5,v6)) * (a(z,y,K(u,x)) * K(v7,v8)). [hyper(64,a,6566,a(flip),b,6571,a),flip(a)]. given #6101 (H,wt=33): 6573 (x * (K(y,z) * K(u,w))) * a(v5,v6,K(v7,v8)) = (x * K(y,z)) * (a(v7,v6,K(v8,v5)) * K(u,w)). [hyper(3542,a,6572,a)]. given #6102 (H,wt=33): 6574 (x * K(y,z)) * (a(u,w,K(v5,v6)) * K(v7,v8)) = x * (K(y,z) * (K(v7,v8) * a(v6,w,K(u,v5)))). [hyper(64,a,6562,a(flip),b,6573,a),flip(a)]. given #6103 (H,wt=35): 6575 K(x,y) * ((z * u) * (K(w,v5) * (K(y,x) * a(v5,u,K(z,w))))) = (R(z,u,K(w,v5)) * u) * K(w,v5). [para(6574(a,1),6563(a,1,2))]. given #6104 (H,wt=46): 6329 (x * K(y,z)) * a(u,w,K(v5,L(v6,x * (K(y,z) * K(v7,v8)),K(v8,v7)))) = K(v8,v7) * ((x * (K(y,z) * K(v7,v8))) * a(u,w,K(v5,v6))). [para(6318(a,1),4254(a,1,1))]. given #6105 (H,wt=33): 6576 K(x,y) * ((z * (K(u,w) * K(y,x))) * a(v5,v6,K(v7,v8))) = (z * K(u,w)) * a(v5,v6,K(v7,v8)). [para(4220(a,1),6329(a,1,2,3)),flip(a)]. given #6106 (H,wt=33): 6577 K(x,y) * ((z * (K(u,w) * K(y,x))) * a(v5,v6,K(v7,v8))) = z * (K(u,w) * a(v5,v6,K(v7,v8))). [hyper(306,a,6312,a(flip),b,6576,a),flip(a)]. given #6107 (H,wt=33): 6579 K(x,y) * (z * (K(u,w) * (K(y,x) * a(v5,v6,K(v7,v8))))) = z * (K(u,w) * a(v5,v6,K(v7,v8))). [para(6562(a,1),6577(a,1,2))]. given #6108 (H,wt=27): 6580 (x * y) * (K(z,u) * a(u,y,K(x,z))) = (R(x,y,K(z,u)) * y) * K(z,u). [hyper(64,a,6575,a(flip),b,6579,a),flip(a)]. given #6109 (H,wt=25): 6581 (R(x,y,K(z,u)) * y) * K(z,u) = (x * y) * K(z,L(u,y,x \ z)). [para(4911(a,1),6580(a,1,2)),flip(a)]. given #6110 (H,wt=25): 6582 (L(x,y,K(z,u)) * y) * K(z,u) = (x * y) * K(z,L(u,y,x \ z)). [para(1647(a,1),6581(a,1,1,1))]. given #6111 (H,wt=25): 6583 K(x,y) * (L(z,u,K(x,y)) * u) = (z * u) * K(x,L(y,u,z \ x)). [hyper(358,a,6582,a)]. given #6112 (H,wt=25): 6585 K(x,y) * (L(z,u,K(x,y)) * u) = (z * u) * K(x,L(y,u,z \ 1)). [para(4981(a,2),6583(a,2,2))]. given #6113 (H,wt=31): 6584 T(K(x,L(y,z,u \ x)) * (u * z),(u * z) \ 1) = K(x,y) * (L(u,z,K(x,y)) * z). [hyper(306,a,2049,a,b,6583,a)]. given #6114 (H,wt=31): 6587 T((x * y) * K(z,L(u,y,x \ z)),(x * y) \ 1) = K(z,u) * (L(x,y,K(z,u)) * y). [para(244(a,1),6584(a,1,1))]. given #6115 (H,wt=31): 6588 T((x * y) * K(z,L(u,y,x \ z)),x \ (y \ 1)) = K(z,u) * (L(x,y,K(z,u)) * y). [hyper(3442,a,6587,a)]. given #6116 (H,wt=29): 6589 T((x * y) * K(z,L(u,x,y)),x \ (y \ 1)) = K(z,u) * (L(x,y,K(z,u)) * y). [para(6419(a,1),6588(a,1,1,2))]. given #6117 (H,wt=26): 6590 T((x * K(y,z)) * u,x \ (u \ 1)) = K(y,z) * (L(x,u,K(y,z)) * u). [para(3838(a,1),6589(a,1,1))]. given #6118 (H,wt=20): 6591 K(x,y) * (L(z,u,K(x,y)) * u) = (z * K(x,y)) * u. [hyper(64,a,4083,a(flip),b,6590,a),flip(a)]. given #6119 (H,wt=40): 6586 (K(x,y) * (L(z,u,K(x,y)) * u)) \ ((z * u) * R(K(x,L(y,u,z \ 1)),z,u)) = a(K(x,L(y,u,z \ 1)),z,u). [para(6585(a,2),3974(a,2,1)),flip(a)]. given #6120 (H,wt=40): 6592 (K(x,y) * (L(z,u,K(x,y)) * u)) \ ((z * u) * K(x,L(L(y,u,z \ 1),z,u))) = a(K(x,L(y,u,z \ 1)),z,u). [para(3824(a,1),6586(a,1,2,2))]. given #6121 (H,wt=37): 6593 (K(x,y) * (L(z,u,K(x,y)) * u)) \ ((z * u) * K(x,L(y,u,z * u))) = a(K(x,L(y,u,z \ 1)),z,u). [para(6494(a,1),6592(a,1,2,2))]. given #6122 (H,wt=37): 6594 (K(x,y) * (L(z,u,K(x,y)) * u)) \ ((z * u) * K(x,L(y,u,z * u))) = a(x,z,K(u,L(y,u,z \ 1))). [hyper(306,a,4846,a(flip),b,6593,a),flip(a)]. given #6123 (H,wt=32): 6595 (K(x,y) * (L(z,u,K(x,y)) * u)) \ ((z * u) * K(x,L(y,u,z * u))) = a(x,z,K(u,y)). [para(3238(a,1),6594(a,2,3))]. given #6124 (H,wt=27): 6597 ((x * K(y,z)) * u) \ ((x * u) * K(y,L(z,u,x * u))) = a(y,x,K(u,z)). [para(6591(a,1),6595(a,1,1))]. given #6125 (H,wt=25): 6598 ((x * K(y,z)) * u) \ ((x * u) * K(y,L(z,u,x))) = a(y,x,K(u,z)). [para(6433(a,1),6597(a,1,2,2))]. given #6126 (H,wt=22): 6599 ((x * K(y,z)) * u) \ (x * (u * K(y,z))) = a(y,x,K(u,z)). [para(3832(a,1),6598(a,1,2))]. given #6127 (H,wt=51): 5204 ((x * y) \ (K(z,(x * y) / (x * (u \ y))) * ((x * K(u,z)) * y))) / a(z,x * (K(u,z) * y),K(L(u,y,x),a(x,K(u,z),y))) = a(x,K(u,z),y). [hyper(119,a,5202,a(flip),b,4964,a)]. given #6128 (H,wt=51): 6600 ((x * y) \ (K(z,(x * y) / (x * (u \ y))) * ((x * K(u,z)) * y))) / a(z,x * (K(u,z) * y),a(L(u,y,x),K(u,z),K(y,x))) = a(x,K(u,z),y). [para(4853(a,2),5204(a,1,2,3))]. given #6129 (H,wt=41): 6601 ((x * y) \ (K(z,(x * y) / (x * (u \ y))) * ((x * K(u,z)) * y))) / a(z,x * (K(u,z) * y),1) = a(x,K(u,z),y). [para(6296(a,1),6600(a,1,2,3))]. given #6130 (H,wt=32): 6602 ((x * y) \ (K(z,(x * y) / (x * (u \ y))) * ((x * K(u,z)) * y))) / 1 = a(x,K(u,z),y). [para(447(a,1),6601(a,1,2))]. given #6131 (H,wt=27): 6604 L(a(x,K(y,z),u),x * (K(y,z) * u),K(z,L(y,u,x))) = a(x,K(y,z),u). [hyper(64,a,5203,a,b,6602,a)]. given #6132 (H,wt=32): 6606 (x * y) \ (((x * K(z,u)) * y) * K(u,T((x * y) / (x * (z \ y)),w))) = a(x,K(z,u),y). [hyper(64,a,5205,a(flip),b,6604,a)]. given #6133 (H,wt=30): 6607 (x * y) \ (((x * K(z,u)) * y) * K(u,(x * (z \ y)) \ (x * y))) = a(x,K(z,u),y). [para(108(a,1),6606(a,1,2,2,2))]. given #6134 (H,wt=27): 6608 (x * y) \ (((x * K(z,u)) * y) * K(L(u,y,x),T(z,w))) = a(x,K(z,u),y). [para(3867(a,2),6607(a,1,2,2))]. given #6135 (H,wt=31): 6609 (x * y) \ (((K(z,u) * x) * y) * K(L(T(u,w),y,x),T(z,v5))) = a(x,K(z,T(u,w)),y). [para(1946(a,1),6608(a,1,2,1,1))]. given #6136 (H,wt=31): 6610 a(x,K(y,T(z,u)),w) = (x * w) \ (((K(y,z) * x) * w) * K(L(z,w,x),T(T(y,v5),v6))). [para(1962(a,1),6609(a,1,2,2)),flip(a)]. given #6137 (H,wt=29): 6611 (x * y) \ (((K(z,u) * x) * y) * K(L(u,y,x),T(T(z,w),v5))) = a(x,K(z,u),y). [hyper(4588,a,6610,a),flip(a)]. given #6138 (H,wt=29): 6613 (x * y) \ (((K(z,u) * x) * y) * K(u,L(T(T(z,w),v5),y,x))) = a(x,K(z,u),y). [para(3853(a,1),6611(a,1,2,2))]. given #6139 (H,wt=26): 6614 (x * y) \ ((K(z,u) * x) * (y * K(u,T(T(z,w),v5)))) = a(x,K(z,u),y). [para(5146(a,1),6613(a,1,2))]. given #6140 (H,wt=24): 6615 (x * y) \ ((K(z,u) * x) * (K(u,T(z,w)) * y)) = a(x,K(z,u),y). [para(1813(a,1),6614(a,1,2,2))]. given #6141 (H,wt=22): 6616 (x * y) \ ((x * K(z,u)) * (K(u,z) * y)) = a(x,K(z,u),y). [para(2612(a,1),6615(a,1,2))]. given #6142 (H,wt=17): 6617 a(x,K(y,z),K(z,y) * u) = a(x,K(y,z),u). [hyper(2946,a,6616,a)]. given #6143 (H,wt=41): 6618 ((K(x,y) * (K(y,x) * z)) * u) \ (R(u,K(x,y),K(y,x) * z) * T(K(x,y) * (K(y,x) * z),u)) = a(u,K(x,y),z). [hyper(64,a,3342,a(flip),b,6617,a)]. given #6144 (H,wt=33): 6619 (x * y) \ (R(y,K(z,u),K(u,z) * x) * T(K(z,u) * (K(u,z) * x),y)) = a(y,K(z,u),x). [para(2914(a,1),6618(a,1,1,1))]. given #6145 (H,wt=33): 6620 (x * y) \ (L(y,K(z,u),K(u,z) * x) * T(K(z,u) * (K(u,z) * x),y)) = a(y,K(z,u),x). [para(4097(a,1),6619(a,1,2,1))]. given #6146 (H,wt=25): 6621 (x * y) \ (L(y,K(z,u),K(u,z) * x) * T(x,y)) = a(y,K(z,u),x). [para(2914(a,1),6620(a,1,2,2,1))]. given #6147 (H,wt=23): 6622 (x * y) \ (x * L(y,K(z,u),K(u,z) * x)) = a(y,K(z,u),x). [para(6314(a,1),6621(a,1,2))]. given #6148 (H,wt=22): 6623 (x * y) \ ((x * K(z,u)) * (K(u,z) * y)) = a(y,K(u,z),x). [para(3403(a,1),6622(a,1,2))]. given #6149 (H,wt=13): 6624 a(x,K(y,z),u) = a(u,K(z,y),x). [hyper(64,a,6616,a(flip),b,6623,a)]. given #6150 (H,wt=22): 6625 (x * (K(y,z) * u)) \ ((x * K(y,z)) * u) = a(u,K(z,y),x). [hyper(1413,a,6624,a)]. given #6151 (H,wt=22): 6626 (x * (y * K(z,u))) \ ((x * K(z,u)) * y) = a(y,K(u,z),x). [para(244(a,1),6625(a,1,1,2))]. given #6152 (H,wt=20): 6627 K(x,L(y,z,u)) * K(y,L(x,u,z)) = a(z,K(x,y),u). [hyper(64,a,6362,a(flip),b,6626,a)]. given #6153 (H,wt=15): 6628 a(x,K(y,z),T(u,w)) = a(u,K(z,y),x). [hyper(6383,a,6627,a)]. given #6154 (H,wt=22): 6629 ((x * K(y,z)) * u) \ (x * (u * K(y,z))) = a(x,K(z,y),u). [hyper(64,a,4403,a,b,6628,a)]. given #6155 (H,wt=13): 6631 a(x,K(y,z),u) = a(z,x,K(u,y)). [hyper(64,a,6599,a(flip),b,6629,a),flip(a)]. given #6156 (H,wt=13): 6632 a(x,K(y,z),u) = a(x,y,K(u,z)). [hyper(306,a,6404,a,b,6631,a),flip(a)]. given #6157 (H,wt=19): 6633 a(x,y,K(z,u)) \ (z * w) = L(z,K(y,u),x) * w. [para(6632(a,1),6251(a,1,1))]. given #6158 (H,wt=13): 6634 L(x,K(y,z),u) = L(x,y,K(u,z)). [hyper(6286,a,6633,a),flip(a)]. given #6159 (H,wt=13): 6635 L(x,K(y,z),u) = T(x,a(z,y,u)). [hyper(306,a,4961,a(flip),b,6634,a),flip(a)]. given #6160 (H,wt=15): 6636 L(x,y,K(x,z)) != u \ w | u * x = w. [para(6634(a,1),787(a,1))]. given #6161 (H,wt=15): 6637 L(T(x,y),K(y,z),u) = T(x,L(y,u,z)). [hyper(306,a,6417,a(flip),b,6635,a),flip(a)]. given #6162 (H,wt=15): 6638 T(x,a(y,z,x)) != u \ w | u * x = w. [para(6635(a,1),787(a,1))]. given #6163 (H,wt=15): 6639 L(x,y,K(z,x)) != u \ w | u * x = w. [para(1909(a,1),6636(a,1,3))]. given #6164 (H,wt=16): 6641 K(x,y) != z \ u | z * K(x,T(y,w)) = u. [para(1941(a,1),6638(a,1))]. given #6165 (H,wt=17): 6642 T(x,L(x,y,z) \ x) != u \ w | u * x = w. [para(4212(a,2),6638(a,1))]. given #6166 (H,wt=21): 6640 L(x * y,K(x \ 1,z),u) = T(y * x,L(x \ 1,u,z)). [para(2049(a,1),6637(a,1,1))]. given #6167 (H,wt=19): 6643 T(x * y,L(y \ 1,z,u)) = L(y * x,K(u,y),z). [para(2074(a,1),6640(a,1,2)),flip(a)]. given #6168 (H,wt=19): 6644 T(x,L(y \ 1,z,u)) * y = L(y * x,K(u,y),z). [hyper(64,a,1696,a(flip),b,6643,a)]. given #6169 (H,wt=19): 6645 T(x,L(y \ 1,z,u)) * y = L(y * x,u,K(z,y)). [hyper(306,a,6634,a(flip),b,6644,a),flip(a)]. given #6170 (H,wt=20): 6646 (L(x,y,z) * u) * a(z,y,x) = L(x * u,z,K(y,x)). [hyper(64,a,6436,a,b,6645,a)]. given #6171 (H,wt=23): 6647 L(x,y,z \ (z / y)) = y * L((y \ 1) * x,z,K(y,y \ 1)). [para(6646(a,1),6280(a,1,2)),flip(a)]. given #6172 (H,wt=16): 6648 L(x,y,z \ (z / y)) = y * ((y \ 1) * x). [para(435(a,1),6647(a,2,2))]. given #6173 (H,wt=15): 6649 L(x,y,z \ (z / y)) = L(x,y,y \ 1). [hyper(306,a,2323,a(flip),b,6648,a),flip(a)]. given #6174 (H,wt=23): 6651 L(a(x,x,y) * z,u,u \ z) = L(z * a(x,x,y),u,u \ 1). [hyper(64,a,6168,a(flip),b,6649,a)]. given #6175 (H,wt=22): 6653 L(a(x,x,y) * z,u,u \ z) = u * ((u \ a(x,x,y)) * z). [hyper(306,a,6088,a(flip),b,6651,a),flip(a)]. given #6176 (H,wt=22): 6654 x * (a(y,y,x) * a(z,z,u)) = y * ((y \ a(z,z,u)) * x). [hyper(64,a,6183,a(flip),b,6653,a)]. given #6177 (H,wt=25): 6655 (x * x) * ((x \ y) * a(z,z,u)) = x * (x * ((x \ a(z,z,u)) * y)). [para(6654(a,1),6100(a,1,2)),flip(a)]. given #6178 (H,wt=25): 6656 L(x * (x * ((x \ a(y,y,x * z)) * z)),y,y) = (x * x) * (x \ z). [para(6655(a,1),6187(a,1,1))]. given #6179 (H,wt=16): 6657 L(x * y,x,x \ 1) = (x * x) * (x \ y). [hyper(64,a,6188,a(flip),b,6656,a)]. given #6180 (H,wt=16): 6658 x * L(y,x,x \ 1) = (x * x) * (x \ y). [hyper(2329,a,6657,a)]. given #6181 (H,wt=19): 6659 T(x,(y * y) * (y \ (z \ u))) = T(x,z \ (y * u)). [para(6658(a,1),6559(a,1,2))]. given #6182 (H,wt=19): 6660 T(x,y * (y * (y \ (z \ u)))) = T(x,z \ (y * u)). [hyper(64,a,5012,a(flip),b,6659,a)]. given #6183 (H,wt=15): 6661 T(x,y \ (z * u)) = T(x,z * (y \ u)). [para(10(a,1),6660(a,1,2,2)),flip(a)]. given #6184 (H,wt=16): 6664 T(x,y \ (x * z)) != u | T(x,y \ z) = u. [para(6661(a,2),1544(a,1))]. given #6185 (H,wt=52): 6450 T((T(T(x,y),z) / u) \ w,T(T(T(x,u \ 1),y),z) \ (v5 * u)) * T(u \ T(T(T(x,u \ 1),y),z),v5) = T(w,L(v5,T(T(T(x,u \ 1),y),z),u)). [para(2057(a,1),6441(a,1,1,1,1))]. given #6186 (H,wt=50): 6665 T((T(T(x,y),z) / u) \ w,T(T(x,u \ 1),y) \ (v5 * u)) * T(u \ T(T(T(x,u \ 1),y),z),v5) = T(w,L(v5,T(T(T(x,u \ 1),y),z),u)). [para(2950(a,1),6450(a,1,1))]. given #6187 (H,wt=48): 6666 T((T(T(x,y),z) / u) \ w,T(x,u \ 1) \ (v5 * u)) * T(u \ T(T(T(x,u \ 1),y),z),v5) = T(w,L(v5,T(T(T(x,u \ 1),y),z),u)). [para(2950(a,1),6665(a,1,1))]. given #6188 (H,wt=44): 6668 T((T(T(x,y),z) / u) \ w,x \ (v5 * u)) * T(u \ T(T(T(x,u \ 1),y),z),v5) = T(w,L(v5,T(T(T(x,u \ 1),y),z),u)). [para(2950(a,1),6666(a,1,1))]. given #6189 (H,wt=40): 6670 T((T(T(x,y),z) / u) \ w,x \ (v5 * u)) * T(T(T(x,y),z) / u,v5) = T(w,L(v5,T(T(T(x,u \ 1),y),z),u)). [para(2057(a,1),6668(a,1,2,1))]. given #6190 (H,wt=38): 6672 T((T(T(x,y),z) / u) \ w,x \ (v5 * u)) * T(T(T(x,y),z) / u,v5) = T(w,L(v5,T(T(x,u \ 1),y),u)). [hyper(306,a,4193,a(flip),b,6670,a),flip(a)]. given #6191 (H,wt=36): 6674 T((T(T(x,y),z) / u) \ w,x \ (v5 * u)) * T(T(T(x,y),z) / u,v5) = T(w,L(v5,T(x,u \ 1),u)). [hyper(306,a,4193,a(flip),b,6672,a),flip(a)]. given #6192 (H,wt=32): 6676 T((T(T(x,y),z) / u) \ w,x \ (v5 * u)) * T(T(T(x,y),z) / u,v5) = T(w,L(v5,x,u)). [hyper(306,a,4193,a(flip),b,6674,a),flip(a)]. given #6193 (H,wt=32): 6677 T((x \ T(T(y,z),u)) \ w,y \ (v5 * x)) * T(x \ T(T(y,z),u),v5) = T(w,L(v5,y,x)). [hyper(6380,a,6676,a)]. given #6194 (H,wt=32): 6679 T((x \ T(T(y,z),u)) \ w,v5 * (y \ x)) * T(x \ T(T(y,z),u),v5) = T(w,L(v5,y,x)). [para(6661(a,1),6677(a,1,1))]. given #6195 (H,wt=10): 6680 T(x,L(y,z,u)) = T(x,y). [hyper(64,a,6381,a(flip),b,6679,a),flip(a)]. given #6196 (H,wt=8): 6681 T(x,a(y,z,u)) = x. [hyper(6416,a,6680,a)]. given #6197 (H,wt=8): 6702 K(a(x,y,z),u) = 1. [hyper(2103,a,6681,a)]. -------- Proof 1 -------- ============================== PROOF ================================= % Proof 1 at 381.64 (+ 19.99) seconds. % Length of proof is 5789. % Level of proof is 409. % Maximum clause weight is 52.000. % Given clauses 6197 (15.152 givens/level). 1 a(x,y,z) = 1 -> L(z,y,x) = z # label(non_clause). [assumption]. 2 L(x,y,z) = x -> a(z,y,x) = 1 # label(non_clause). [assumption]. 3 T(x,y) = x -> T(y,x) = y # label(non_clause). [assumption]. 4 T(x,y) = x -> K(x,y) = 1 # label(non_clause). [assumption]. 5 K(x,y) = 1 -> T(x,y) = x # label(non_clause). [assumption]. 6 a(K(x,y),z,u) = 1 # label("aK1") # label(non_clause) # label(goal). [goal]. 7 1 * x = x. [assumption]. 8 x * 1 = x. [assumption]. 9 x \ (x * y) = y. [assumption]. 10 x * (x \ y) = y. [assumption]. 11 (x * y) / y = x. [assumption]. 12 (x / y) * y = x. [assumption]. 13 (x * (y * z)) \ ((x * y) * z) = a(x,y,z) # label("associator"). [assumption]. 14 a(x,y,z) = (x * (y * z)) \ ((x * y) * z). [copy(13),flip(a)]. 15 (x * y) \ (y * x) = K(y,x) # label("commutator"). [assumption]. 16 K(x,y) = (y * x) \ (x * y). [copy(15),flip(a)]. 17 (x * y) \ (x * (y * z)) = L(z,y,x). [assumption]. 18 L(x,y,z) = (z * y) \ (z * (y * x)). [copy(17),flip(a)]. 19 ((x * y) * z) / (y * z) = R(x,y,z). [assumption]. 20 R(x,y,z) = ((x * y) * z) / (y * z). [copy(19),flip(a)]. 21 x \ (y * x) = T(y,x). [assumption]. 22 T(x,y) = y \ (x * y). [copy(21),flip(a)]. 23 T(T(x,y),z) = T(T(x,z),y). [assumption]. 24 T(L(x,y,z),u) = L(T(x,u),y,z). [assumption]. 25 L(T(x,y),z,u) = T(L(x,z,u),y). [copy(24),flip(a)]. 26 T(R(x,y,z),u) = R(T(x,u),y,z). [assumption]. 27 R(T(x,y),z,u) = T(R(x,z,u),y). [copy(26),flip(a)]. 28 L(R(x,y,z),u,w) = R(L(x,u,w),y,z). [assumption]. 29 R(L(x,y,z),u,w) = L(R(x,u,w),y,z). [copy(28),flip(a)]. 30 L(L(x,y,z),u,w) = L(L(x,u,w),y,z). [assumption]. 31 R(R(x,y,z),u,w) = R(R(x,u,w),y,z). [assumption]. 32 x * ((y * z) \ x) = (x / z) * (y \ x) # label("middle Bol"). [assumption]. 33 (x / y) * (z \ x) = x * ((z * y) \ x). [copy(32),flip(a)]. 34 K(K(x,y),z) = 1 # label("KK"). [assumption]. 35 x * y != z | x * u != z | y = u # label("*-Cancellation 1"). [assumption]. 36 x * y != z | u * y != z | x = u # label("*-Cancellation 2"). [assumption]. 37 x / y != z | x / u != z | y = u # label("/-Cancellation 1"). [assumption]. 38 x / y != z | u / y != z | x = u # label("/-Cancellation 2"). [assumption]. 39 x \ y != z | x \ u != z | y = u # label("\-Cancellation 1"). [assumption]. 40 x \ y != z | u \ y != z | x = u # label("\-Cancellation 2"). [assumption]. 41 T(x,y) != z | T(u,y) != z | x = u # label("T-Cancellation 1"). [assumption]. 42 L(x,y,z) != u | L(w,y,z) != u | x = w # label("L-Cancellation 1"). [assumption]. 43 R(x,y,z) != u | R(w,y,z) != u | x = w # label("R-Cancellation 1"). [assumption]. 44 x * y != x * z | y = z # label("*-Cancellation 3"). [assumption]. 45 x * y != z * y | x = z # label("*-Cancellation 4"). [assumption]. 46 x / y != x / z | y = z # label("/-Cancellation 3"). [assumption]. 47 x / y != z / y | x = z # label("/-Cancellation 4"). [assumption]. 48 x \ y != x \ z | y = z # label("\-Cancellation 3"). [assumption]. 49 x \ y != z \ y | x = z # label("\-Cancellation 4"). [assumption]. 50 T(x,y) != T(z,y) | x = z # label("T-Cancellation 2"). [assumption]. 51 L(x,y,z) != L(u,y,z) | x = u # label("L-Cancellation 2"). [assumption]. 52 R(x,y,z) != R(u,y,z) | x = u # label("R-Cancellation 2"). [assumption]. 53 a(x,y,z) != 1 | L(z,y,x) = z. [clausify(1)]. 54 L(x,y,z) != x | a(z,y,x) = 1. [clausify(2)]. 55 T(x,y) != x | T(y,x) = y. [clausify(3)]. 56 T(x,y) != x | K(x,y) = 1. [clausify(4)]. 57 K(x,y) != 1 | T(x,y) = x. [clausify(5)]. 58 x != y | x * z = y * z # label("Aux 1"). [assumption]. 59 x != y | z * x = z * y # label("Aux 2"). [assumption]. 62 x != y | x \ z = y \ z # label("Aux 5"). [assumption]. 63 x != y | z \ x = z \ y # label("Aux 6"). [assumption]. 64 x != y | y != z | x = z # label("Transitivity ="). [assumption]. 65 a(K(c1,c2),c3,c4) != 1 # label("aK1"). [deny(6)]. 66 1 \ x = x. [para(7(a,1),9(a,1,2))]. 67 x \ x = 1. [para(8(a,1),9(a,1,2))]. 68 x \ (x * (y \ (y * z))) = z. [para(9(a,2),9(a,1))]. 69 (x * (x \ 1)) * y = y. [para(10(a,2),7(a,1,1))]. 70 x * (y * (y \ 1)) = x. [para(10(a,2),8(a,1,2))]. 71 x \ (y * (y \ (x * z))) = z. [para(10(a,2),9(a,1,2))]. 72 x * (y * (y \ (x \ z))) = z. [para(10(a,2),10(a,1,2))]. 73 x / x = 1. [para(7(a,1),11(a,1,1))]. 74 x / 1 = x. [para(8(a,1),11(a,1,1))]. 75 x / (y \ x) = y. [para(10(a,1),11(a,1,1))]. 76 ((1 / x) * x) * y = y. [para(12(a,2),7(a,1,1))]. 77 x * ((1 / y) * y) = x. [para(12(a,2),8(a,1,2))]. 78 (x / y) \ x = y. [para(12(a,1),9(a,1,2))]. 79 (((x * y) / z) * z) / y = x. [para(12(a,2),11(a,1,1))]. 80 (((x / y) / z) * z) * y = x. [para(12(a,2),12(a,1,1))]. 81 (x * (y * z)) * a(x,y,z) = (x * y) * z. [para(14(a,2),10(a,1,2))]. 82 (x * y) \ ((x * z) * (z \ y)) = a(x,z,z \ y). [para(10(a,1),14(a,2,1,2)),flip(a)]. 83 (x * ((x \ y) * z)) \ (y * z) = a(x,x \ y,z). [para(10(a,1),14(a,2,2,1)),flip(a)]. 84 ((x / y) * (y * z)) \ (x * z) = a(x / y,y,z). [para(12(a,1),14(a,2,2,1)),flip(a)]. 85 (x * y) * K(y,x) = y * x. [para(16(a,2),10(a,1,2))]. 86 x \ ((y \ x) * y) = K(y \ x,y). [para(10(a,1),16(a,2,1)),flip(a)]. 87 ((x \ y) * x) \ y = K(x,x \ y). [para(10(a,1),16(a,2,2)),flip(a)]. 89 (x * (y / x)) \ y = K(y / x,x). [para(12(a,1),16(a,2,2)),flip(a)]. 90 x \ (1 * (x * y)) = L(y,x,1). [para(7(a,1),18(a,2,1)),flip(a)]. 91 (x * 1) \ (x * y) = L(y,1,x). [para(7(a,1),18(a,2,2,2)),flip(a)]. 92 (x * y) \ (x * y) = L(1,y,x). [para(8(a,1),18(a,2,2,2)),flip(a)]. 93 (x * y) * L(z,y,x) = x * (y * z). [para(18(a,2),10(a,1,2))]. 94 x \ (y * ((y \ x) * z)) = L(z,y \ x,y). [para(10(a,1),18(a,2,1)),flip(a)]. 95 L(x \ y,x,z) = (z * x) \ (z * y). [para(10(a,1),18(a,2,2,2))]. 96 x \ ((x / y) * (y * z)) = L(z,y,x / y). [para(12(a,1),18(a,2,1)),flip(a)]. 97 L(x,y / x,z) = (z * (y / x)) \ (z * y). [para(12(a,1),18(a,2,2,2))]. 98 ((x * 1) * y) / y = R(x,1,y). [para(7(a,1),20(a,2,2)),flip(a)]. 99 (x * y) / (y * 1) = R(x,y,1). [para(8(a,1),20(a,2,1)),flip(a)]. 100 R(x,x \ y,z) = (y * z) / ((x \ y) * z). [para(10(a,1),20(a,2,1,1))]. 101 ((x * y) * (y \ z)) / z = R(x,y,y \ z). [para(10(a,1),20(a,2,2)),flip(a)]. 102 R(x,y,z) * (y * z) = (x * y) * z. [para(20(a,2),12(a,1,1))]. 103 R(x / y,y,z) = (x * z) / (y * z). [para(12(a,1),20(a,2,1,1))]. 104 ((x * (y / z)) * z) / y = R(x,y / z,z). [para(12(a,1),20(a,2,2)),flip(a)]. 105 T(x,x) = x. [para(22(a,2),9(a,1))]. 106 x * T(y,x) = y * x. [para(22(a,2),10(a,1,2))]. 107 T(x,x \ y) = (x \ y) \ y. [para(10(a,1),22(a,2,2))]. 108 T(x / y,y) = y \ x. [para(12(a,1),22(a,2,2))]. 109 T(T(T(x,y),z),u) = T(T(T(x,u),y),z). [para(23(a,1),23(a,1,1)),flip(a)]. 110 T(T(R(x,y,z),u),w) = T(R(T(x,w),y,z),u). [para(27(a,2),23(a,1,1)),flip(a)]. 111 (1 / x) * (y \ 1) = (y * x) \ 1. [para(33(a,2),7(a,1))]. 112 (x * y) * ((x * z) \ (x * y)) = ((x * y) / z) * y. [para(9(a,1),33(a,1,2)),flip(a)]. 113 (x * ((y * z) \ x)) / (y \ x) = x / z. [para(33(a,1),11(a,1,1))]. 114 (x * y) * ((z * y) \ (x * y)) = x * (z \ (x * y)). [para(11(a,1),33(a,1,1)),flip(a)]. 115 K(1,x) = 1. [para(34(a,1),34(a,1,1))]. 116 1 * x != y | z != y | x = z. [para(7(a,1),35(b,1))]. 117 x != y | x * z != y | 1 = z. [para(8(a,1),35(a,1))]. 118 x != y | z * u != y | z \ x = u. [para(10(a,1),35(a,1))]. 119 x != y | z * u != y | x / u = z. [para(12(a,1),36(a,1))]. 120 x != y | z / u != y | x * u = z. [para(11(a,1),38(a,1))]. 121 x != y | z \ u != y | z * x = u. [para(9(a,1),39(a,1))]. 122 1 * x != y | y = x. [para(7(a,1),44(a,1)),flip(a)]. 123 1 * x != y | x = y. [para(7(a,1),44(a,2))]. 124 x * y != x | 1 = y. [para(8(a,1),44(a,1)),flip(a)]. 125 x * y != z | x \ z = y. [para(10(a,1),44(a,1)),flip(a)]. 126 x * (x \ (y * z)) != y * u | u = z. [para(10(a,2),44(a,2)),flip(a)]. 127 (x / y) * z != x | y = z. [para(12(a,1),44(a,1)),flip(a)]. 129 x * 1 != y | y = x. [para(8(a,1),45(a,1)),flip(a)]. 130 x * 1 != y | x = y. [para(8(a,1),45(a,2))]. 131 x * (y \ z) != z | x = y. [para(10(a,1),45(a,2))]. 132 x * y != z | z / y = x. [para(12(a,1),45(a,1)),flip(a)]. 134 x / y != z | z * y = x. [para(11(a,1),47(a,1)),flip(a)]. 135 x \ y != z | x * z = y. [para(9(a,1),48(a,1)),flip(a)]. 137 T(x,y) != y \ z | x * y = z. [para(22(a,2),48(a,1))]. 138 x \ (y * z) != K(y,z) | z * y = x. [para(16(a,2),49(a,1)),flip(a)]. 139 T(x,y) != (T(z,y) / u) * u | z = x. [para(12(a,2),50(a,1)),flip(a)]. 141 T(x,y) != L(T(z,y),u,w) | L(z,u,w) = x. [para(25(a,2),50(a,1)),flip(a)]. 143 T(L(x,y,z),u) != L(w,y,z) | T(x,u) = w. [para(25(a,1),51(a,1))]. 145 L(L(x,y,z),u,w) != L(v5,y,z) | L(x,u,w) = v5. [para(30(a,1),51(a,1))]. 149 T(K(x,y),z) = K(x,y). [hyper(57,a,34,a)]. 150 ((x / y) * y) * z = x * z. [hyper(58,a,12,a)]. 151 (x * (x \ y)) * z = y * z. [hyper(58,a,10,a)]. 152 x * (y * (y \ z)) = x * z. [hyper(59,a,10,a)]. 153 (x * (x \ y)) \ z = y \ z. [hyper(62,a,10,a)]. 154 (x * y) / y = (x / z) * z. [hyper(64,a,12,a,b,11,a(flip)),flip(a)]. 155 (x / y) * y = z * (z \ x). [hyper(64,a,12,a,b,10,a(flip))]. 156 (x / y) * y = x * 1. [hyper(64,a,12,a,b,8,a(flip))]. 157 (x * y) / y = 1 * x. [hyper(64,a,11,a,b,7,a(flip))]. 158 x \ (x * y) = z * (z \ y). [hyper(64,a,10,a,b,9,a(flip)),flip(a)]. 159 x * (x \ y) = y * 1. [hyper(64,a,10,a,b,8,a(flip))]. 160 (x * (x \ 1)) \ y = y. [para(10(a,2),66(a,1,1))]. 161 ((1 / x) * x) \ y = y. [para(12(a,2),66(a,1,1))]. 162 1 \ x != y | y = x. [para(66(a,1),48(a,1)),flip(a)]. 165 x \ x = 1 * 1. [hyper(64,a,67,a,b,8,a(flip))]. 166 x * (y \ y) = x. [para(67(a,2),8(a,1,2))]. 167 (x / x) * y = y. [para(73(a,2),7(a,1,1))]. 168 x / (y * (y \ 1)) = x. [para(10(a,2),74(a,1,2))]. 169 x / ((1 / y) * y) = x. [para(12(a,2),74(a,1,2))]. 170 x / 1 != y | y = x. [para(74(a,1),47(a,1)),flip(a)]. 171 x / 1 != y | x = y. [para(74(a,1),47(a,2))]. 172 T(x,R(x,y,z)) = x. [hyper(43,a,27,a,b,105,a(flip))]. 173 T(x,L(x,y,z)) = x. [hyper(42,a,25,a,b,105,a(flip))]. 174 T(x,T(x,y)) = x. [hyper(41,a,23,a,b,105,a(flip))]. 175 T(T(x,y),x) = T(x,y). [para(105(a,1),23(a,1,1)),flip(a)]. 176 T(1,x) = 1. [hyper(57,a,115,a)]. 177 T(x,1) = x. [hyper(55,a,176,a)]. 179 T(x,1) != y | y = x. [para(177(a,1),50(a,1)),flip(a)]. 180 (x * y) / y = z / (x \ z). [hyper(64,a,75,a,b,11,a(flip)),flip(a)]. 181 x / (y \ x) = z * (z \ y). [hyper(64,a,75,a,b,10,a(flip))]. 182 (x / (y \ x)) * z = y * z. [hyper(58,a,75,a)]. 183 R(x,y,z) \ ((x * y) * z) = y * z. [hyper(37,a,20,a(flip),b,75,a),flip(a)]. 184 ((x * y) * z) / a(x,y,z) = x * (y * z). [para(14(a,2),75(a,1,2))]. 185 (x * y) / K(x,y) = y * x. [para(16(a,2),75(a,1,2))]. 186 (x * (y * z)) / L(z,y,x) = x * y. [para(18(a,2),75(a,1,2))]. 187 (x * y) / T(x,y) = y. [para(22(a,2),75(a,1,2))]. 188 x * ((y * (z \ x)) \ x) = z * (y \ x). [para(75(a,1),33(a,1,1)),flip(a)]. 189 x / y != z | z \ x = y. [para(75(a,1),46(a,1)),flip(a)]. 190 x / (y / ((z \ x) \ y)) = z. [para(75(a,2),75(a,1,2))]. 191 (x / y) \ x = y / 1. [hyper(64,a,78,a,b,74,a(flip))]. 192 (x / y) \ x = z * (z \ y). [hyper(64,a,78,a,b,10,a(flip))]. 193 ((x / y) \ x) * z = y * z. [hyper(58,a,78,a)]. 194 ((x / (y / z)) \ x) \ y = z. [hyper(37,a,75,a,b,78,a(flip))]. 195 x * (((x / y) * z) \ x) = (x / z) * y. [para(78(a,1),33(a,1,2)),flip(a)]. 196 x != y | z \ u != y | u / x = z. [para(78(a,1),40(a,1))]. 197 x \ y != z | y / z = x. [para(78(a,1),49(a,1)),flip(a)]. 198 x * ((x * y) \ x) = x / y. [hyper(64,a,33,a(flip),b,166,a)]. 199 x * ((y * x) \ x) = y \ x. [hyper(64,a,33,a(flip),b,167,a)]. 200 (x * (x \ 1)) * y != z | z = y. [para(10(a,2),122(a,1,1))]. 201 (1 / x) * (y \ 1) != z | (y * x) \ 1 = z. [para(33(a,2),122(a,1)),flip(b)]. 202 x \ x != y | 1 = y. [para(165(a,2),122(a,1)),flip(b)]. 204 x / x != y | 1 = y. [para(167(a,1),124(a,1)),flip(a)]. 205 x * (y * (y \ 1)) != z | x = z. [para(10(a,2),130(a,1,2))]. 206 (x * (x \ 1)) \ y != z | z = y. [para(10(a,2),162(a,1,1))]. 211 (x * ((x \ 1) * y)) \ y = a(x,x \ 1,y). [para(69(a,1),14(a,2,2)),flip(a)]. 212 R(x,x \ 1,y) = y / ((x \ 1) * y). [para(69(a,1),20(a,2,1))]. 213 x \ ((x * y) * (y \ 1)) = a(x,y,y \ 1). [para(70(a,1),14(a,2,1)),flip(a)]. 214 L(x \ 1,x,y) = (y * x) \ y. [para(70(a,1),18(a,2,2))]. 215 ((1 / x) * (x * y)) \ y = a(1 / x,x,y). [para(76(a,1),14(a,2,2)),flip(a)]. 216 R(1 / x,x,y) = y / (x * y). [para(76(a,1),20(a,2,1))]. 217 x \ ((x * (1 / y)) * y) = a(x,1 / y,y). [para(77(a,1),14(a,2,1)),flip(a)]. 218 x * (y * T(z,y)) = x * (z * y). [hyper(59,a,106,a)]. 219 T((x * y) / x,x) = y. [hyper(35,a,12,a(flip),b,106,a),flip(a)]. 220 x * (y * (y \ T(z,x))) = z * x. [para(10(a,2),106(a,1,2))]. 221 (x * (T(y,x) * z)) \ ((y * x) * z) = a(x,T(y,x),z). [para(106(a,1),14(a,2,2,1)),flip(a)]. 222 (x * (y * T(z,x * y))) \ (z * (x * y)) = a(x,y,T(z,x * y)). [para(106(a,1),14(a,2,2)),flip(a)]. 223 (x * y) \ (y * (T(x,y) * z)) = L(z,T(x,y),y). [para(106(a,1),18(a,2,1)),flip(a)]. 224 (x * y) \ (x * (z * y)) = L(T(z,y),y,x). [para(106(a,1),18(a,2,2,2)),flip(a)]. 225 ((x * y) * T(z,y)) / (z * y) = R(x,y,T(z,y)). [para(106(a,1),20(a,2,2)),flip(a)]. 226 T(x,y) \ (x * y) = T(y,T(x,y)). [para(106(a,1),22(a,2,2)),flip(a)]. 227 x * T(T(y,x),z) = T(y,z) * x. [para(23(a,1),106(a,1,2))]. 228 x * L(T(y,x),z,u) = L(y,z,u) * x. [para(25(a,2),106(a,1,2))]. 229 x * R(T(y,x),z,u) = R(y,z,u) * x. [para(27(a,2),106(a,1,2))]. 230 x * y != z | y * u != z | T(x,y) = u. [para(106(a,1),35(a,1))]. 231 x * y != z * x | T(z,x) = y. [para(106(a,1),44(a,1)),flip(a)]. 232 x * T(y,x) != z * x | z = y. [para(106(a,2),45(a,2)),flip(a)]. 233 R(x,y,z) * x = x * R(x,y,z). [para(172(a,1),106(a,1,2))]. 234 L(x,y,z) * x = x * L(x,y,z). [para(173(a,1),106(a,1,2))]. 235 T(x / (x / y),x / y) = y. [hyper(64,a,108,a,b,78,a)]. 236 T(T(x / y,z),y) = T(y \ x,z). [para(108(a,1),23(a,1,1)),flip(a)]. 237 T(L(x / y,z,u),y) = L(y \ x,z,u). [para(108(a,1),25(a,1,1)),flip(a)]. 238 T(R(x / y,z,u),y) = R(y \ x,z,u). [para(108(a,1),27(a,1,1)),flip(a)]. 239 T(x,y) != y \ z | z / y = x. [para(108(a,1),50(a,1)),flip(a)]. 240 x \ (K(y,z) * x) = K(y,z). [hyper(64,a,22,a(flip),b,149,a)]. 241 T(K(x,y),z) = T(K(x,y),u). [hyper(64,a,149,a,b,149,a(flip))]. 242 T(x,K(y,z)) = x. [hyper(55,a,149,a)]. 243 T(x,y) != K(z,u) | K(z,u) = x. [para(149(a,1),50(a,1)),flip(a)]. 244 K(x,y) * z = z * K(x,y). [para(149(a,1),106(a,1,2)),flip(a)]. 245 T(T(K(x,y),z),u) = K(x,y). [para(149(a,2),149(a,1,1))]. 246 T(T(x,K(y,z)),K(u,w)) = x. [hyper(64,a,242,a,b,242,a)]. 247 x / K(y,z) = K(y,z) \ x. [hyper(64,a,108,a(flip),b,242,a),flip(a)]. 248 K(x,y) \ (z * K(x,y)) = z. [hyper(64,a,22,a(flip),b,242,a)]. 249 T(x,K(y,z)) = 1 \ x. [hyper(64,a,242,a,b,66,a(flip))]. 250 T(x,K(y,z)) = x * 1. [hyper(64,a,242,a,b,8,a(flip))]. 251 K(x,K(y,z)) = 1. [hyper(56,a,242,a)]. 252 (K(x,y) \ z) * K(x,y) = z. [hyper(39,a,22,a(flip),b,242,a(flip))]. 253 T(x,K(y,z)) != u | u = x. [para(242(a,1),50(a,1)),flip(a)]. 255 x * 1 != y * z | x / z = y. [para(156(a,1),45(a,1))]. 256 (x / y) * y != z | z = x. [para(156(a,2),129(a,1))]. 257 (x / y) * y != z | x = z. [para(156(a,2),130(a,1))]. 259 (x * y) / y != z | z = x. [para(157(a,2),122(a,1))]. 260 (x * y) / y != z | x = z. [para(157(a,2),123(a,1))]. 261 x * 1 != y * z | y \ x = z. [para(159(a,1),44(a,1))]. 262 x * (x \ y) != z | z = y. [para(159(a,2),129(a,1))]. 263 x * (x \ y) != z | y = z. [para(159(a,2),130(a,1))]. 264 x * ((x \ 1) * y) = L(y,x \ 1,x). [hyper(64,a,18,a,b,160,a),flip(a)]. 265 (1 / x) * (x * y) = L(y,x,1 / x). [hyper(64,a,18,a,b,161,a),flip(a)]. 266 (x * y) * (y \ 1) = R(x,y,y \ 1). [hyper(64,a,20,a,b,168,a),flip(a)]. 267 (x * (1 / y)) * y = R(x,1 / y,y). [hyper(64,a,20,a,b,169,a),flip(a)]. 268 x / T(y,y \ x) = y \ x. [para(10(a,1),187(a,1,1))]. 269 (K(x,y) * z) / K(x,y) = z. [para(149(a,1),187(a,1,2))]. 270 (x * K(y,z)) / x = K(y,z). [para(242(a,1),187(a,1,2))]. 271 (x / y) \ x != z | z = y. [para(191(a,2),170(a,1))]. 272 (x / y) \ x != z | y = z. [para(191(a,2),171(a,1))]. 273 (x * T(T(y,x),z)) / x = T(y,z). [hyper(41,a,23,a,b,219,a),flip(a)]. 274 T(x,y) != z | (y * z) / y = x. [para(219(a,1),50(a,1)),flip(a)]. 275 T(x,K(y,z)) = K(u,K(w,v5)) \ x. [para(251(a,2),249(a,2,1))]. 276 T(x,K(y,z)) = x * K(u,K(w,v5)). [para(251(a,2),250(a,2,2))]. 279 T(T(x,K(y,z)),K(u,w)) != v5 | v5 = x. [para(242(a,2),253(a,1))]. 280 R(x,y,z) * (y * z) != u | (x * y) * z = u. [para(20(a,2),256(a,1,1)),flip(b)]. 281 x * T(y,x) != z | y * x = z. [para(187(a,1),256(a,1,1)),flip(b)]. 282 x / (y \ x) != z | z = y. [para(10(a,1),259(a,1,1))]. 284 (x * y) * K(y,x) != z | y * x = z. [para(16(a,2),262(a,1,2)),flip(b)]. 285 (x * y) * L(z,y,x) != u | x * (y * z) = u. [para(18(a,2),262(a,1,2)),flip(b)]. 286 x \ (x * y) != z | z = y. [para(11(a,1),271(a,1,1))]. 287 x \ (y * x) != z | T(y,x) = z. [para(187(a,1),271(a,1,1)),flip(b)]. 288 x \ (x * y) != z | y = z. [para(11(a,1),272(a,1,1))]. 290 T((x * y) / x,x) != z | y = z. [para(108(a,2),288(a,1))]. 292 x \ ((x * y) * L(z,y,x)) = y * z. [para(18(a,2),71(a,1,2,2))]. 293 L(x \ (y \ z),x,y) = (y * x) \ z. [para(72(a,1),18(a,2,2))]. 295 (R(x,y,z) * (y * z)) / z = x * y. [para(20(a,2),79(a,1,1,1))]. 297 R((x / y) / z,z,y) = x / (z * y). [para(80(a,1),20(a,2,1))]. 298 ((x / y) * y) * (x \ z) = z. [para(75(a,1),80(a,1,1,1,1))]. 299 x * K(y \ x,y) = (y \ x) * y. [para(10(a,1),85(a,1,1))]. 300 (x * y) \ ((y * x) * (K(x,y) * z)) = L(z,K(x,y),y * x). [para(85(a,1),18(a,2,1)),flip(a)]. 301 (x * (y * z)) \ (x * (z * y)) = L(K(z,y),y * z,x). [para(85(a,1),18(a,2,2,2)),flip(a)]. 302 (x * y) \ (y * x) != z | K(y,x) = z. [para(85(a,1),286(a,1,2)),flip(b)]. 303 (K(x,y) \ z) \ z = K(x,y). [hyper(64,a,149,a(flip),b,107,a),flip(a)]. 304 x \ T(y,y \ z) = x \ ((y \ z) \ z). [hyper(63,a,107,a)]. 305 T(x,x \ y) * z = ((x \ y) \ y) * z. [hyper(58,a,107,a)]. 306 x != y | z != y | x = z. [para(7(a,1),116(a,1))]. 307 (x / (y * (y \ z))) * z = x. [hyper(257,a,152,a),flip(a)]. 308 x / y != (z / u) * u | z * y = x. [para(154(a,1),47(a,1)),flip(a)]. 309 ((x / y) * y) * z != u | x * z = u. [para(154(a,1),256(a,1,1)),flip(b)]. 310 (x / y) * y != z * u | z \ x = u. [para(155(a,2),44(a,1))]. 311 x * (x \ y) != z * u | y / u = z. [para(155(a,1),45(a,1))]. 312 x \ (x * y) != z * u | z \ y = u. [para(158(a,2),44(a,1))]. 313 x \ y != z * (z \ u) | x * u = y. [para(158(a,1),48(a,1)),flip(a)]. 314 x * (y * (y \ z)) != u | x * z = u. [para(158(a,1),262(a,1,2)),flip(b)]. 315 (x / (y \ x)) * z != u | y * z = u. [para(180(a,1),256(a,1,1)),flip(b)]. 316 x / (y \ x) != z * u | z \ y = u. [para(181(a,2),44(a,1))]. 317 (x * (x \ y)) \ z != u | y \ z = u. [para(181(a,1),271(a,1,1)),flip(b)]. 318 (x * (y \ 1)) \ 1 = y * (x \ 1). [hyper(116,a,33,a(flip),b,182,a(flip))]. 319 x \ y != z * (z \ u) | y / u = x. [para(192(a,1),49(a,1)),flip(a)]. 320 (x * y) \ x = x \ (x / y). [hyper(125,a,198,a),flip(a)]. 321 1 * (x \ 1) = 1 / x. [para(7(a,1),198(a,1,2,1))]. 322 x / (x \ y) = x * (y \ x). [para(10(a,1),198(a,1,2,1)),flip(a)]. 323 x / (x \ 1) = x * x. [para(160(a,1),198(a,1,2)),flip(a)]. 325 1 / x = x \ 1. [hyper(123,a,321,a),flip(a)]. 326 (x \ 1) \ 1 = x. [hyper(116,a,321,a,b,75,a(flip))]. 327 (x \ 1) * x = 1. [hyper(38,a,157,a,b,321,a(flip))]. 328 1 / x != y | x \ 1 = y. [para(321(a,1),122(a,1)),flip(b)]. 329 1 / (1 / x) = x. [hyper(306,a,78,a(flip),b,325,a),flip(a)]. 330 T(x \ 1,x) = x \ 1. [para(325(a,1),108(a,1,1))]. 331 x \ 1 != y | y \ 1 = x. [para(325(a,1),189(a,1))]. 332 (x \ 1) \ 1 != y | y = x. [para(325(a,1),271(a,1,1))]. 333 (x \ 1) \ 1 != y | x = y. [para(325(a,1),272(a,1,1))]. 334 T(x,K(y,z)) = (x \ 1) \ 1. [hyper(306,a,242,a,b,326,a)]. 335 a(x,y,z) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [hyper(306,a,14,a,b,326,a)]. 336 1 / (1 / x) = (x \ 1) \ 1. [hyper(306,a,326,a,b,329,a),flip(a)]. 337 K(x \ 1,x) = 1. [hyper(56,a,330,a)]. 338 K(x \ 1,x) = K(y \ 1,y). [hyper(306,a,337,a,b,337,a)]. 339 K(x \ 1,x) = (y \ 1) * y. [hyper(306,a,327,a,b,337,a),flip(a)]. 340 x * K(y \ 1,y) = x. [para(337(a,2),8(a,1,2))]. 341 K(x,x \ 1) = 1. [para(326(a,1),337(a,1,1))]. 342 K(x \ 1,x) = K(y,y \ 1). [hyper(306,a,337,a,b,341,a)]. 343 K(x,x \ 1) * (y \ 1) = 1 / y. [para(341(a,2),321(a,1,1))]. 344 x * K(y \ 1,y) = 1 / (1 / x). [hyper(306,a,329,a,b,340,a),flip(a)]. 345 ((x \ 1) \ 1) * K(y \ 1,y) = x. [hyper(306,a,326,a(flip),b,340,a),flip(a)]. 346 (1 / x) * K(y \ 1,y) = x \ 1. [hyper(306,a,325,a(flip),b,340,a),flip(a)]. 349 (x * y) \ y = y \ (x \ y). [hyper(125,a,199,a),flip(a)]. 350 (x / y) \ y = y * (x \ y). [para(12(a,1),199(a,1,2,1)),flip(a)]. 351 (x \ 1) * (x \ 1) = x \ (x \ 1). [para(160(a,1),199(a,1,2))]. 353 T(x,y / z) != z | y / (y / z) = x. [para(235(a,1),50(a,1)),flip(a)]. 354 K(x,y) * (y * x) = x * y. [hyper(39,a,16,a(flip),b,240,a),flip(a)]. 355 K(x,y) != z \ u | K(x,y) * z = u. [para(240(a,1),48(a,1))]. 356 x \ (K(y,z) * u) != K(y,z) | u = x. [para(240(a,1),49(a,1)),flip(a)]. 357 K(x,y) * z != u * K(x,y) | u = z. [para(240(a,1),131(a,1,2)),flip(a)]. 358 x * K(y,z) != u | K(y,z) * x = u. [para(240(a,1),262(a,1,2)),flip(b)]. 360 x * (K(y,z) * u) = x * (u * K(y,z)). [para(240(a,1),152(a,1,2,2)),flip(a)]. 362 x * T(K(y,z),u) = K(y,z) * x. [para(241(a,1),106(a,1,2))]. 363 T(x * K(y,z),K(u,w)) = K(y,z) * x. [hyper(306,a,242,a,b,244,a)]. 364 (x * K(y,z)) \ (x * (u * K(y,z))) = L(u,K(y,z),x). [para(244(a,1),18(a,2,2,2)),flip(a)]. 365 x * K(y,z) != u * x | K(y,z) = u. [para(244(a,1),45(a,1))]. 366 x * K(y,z) != u | K(y,z) \ u = x. [para(244(a,1),125(a,1))]. 368 K(x,y) != z | T(K(x,y),u) = z. [para(245(a,1),179(a,1)),flip(b)]. 369 T(x,K(y,z)) != u | T(u,K(w,v5)) = x. [para(246(a,1),50(a,1)),flip(a)]. 371 K(x,y) \ (x * y) = y * x. [hyper(64,a,185,a(flip),b,247,a),flip(a)]. 372 K(x,y) \ z != u | u * K(x,y) = z. [para(247(a,1),134(a,1))]. 373 K(x,y) * z != u | z * K(x,y) = u. [para(248(a,1),262(a,1,2)),flip(b)]. 374 x \ y != y / T(z,z \ y) | z = x. [para(268(a,2),49(a,1)),flip(a)]. 376 K(x,y) = (x * y) / (y * x). [para(85(a,1),270(a,1,1)),flip(a)]. 378 R(x / y,y,x \ z) = z / (y * (x \ z)). [para(298(a,1),20(a,2,1))]. 380 R(x,y,y \ z) * z = (x * y) * (y \ z). [para(20(a,2),307(a,1,1))]. 381 (x * y) * (x \ (x / y)) = x. [hyper(135,a,320,a)]. 382 x * ((x * y) \ x) != z | x / y = z. [para(320(a,2),262(a,1,2)),flip(b)]. 383 T(x,K(y,z)) = T(x,x \ 1). [hyper(306,a,107,a,b,334,a),flip(a)]. 384 T(K(x \ 1,x),y) = K(z \ 1,z). [hyper(306,a,149,a,b,338,a)]. 385 K(x \ 1,x) * y = y * K(z \ 1,z). [para(338(a,1),244(a,1,1))]. 386 (x * y) * (y \ (x \ y)) = y. [hyper(135,a,349,a)]. 387 x / (x * (y \ x)) = y / x. [hyper(197,a,350,a)]. 388 K(x \ y,x) * y = (x \ y) * x. [hyper(64,a,152,a(flip),b,354,a)]. 389 K(x,y / x) * y = x * (y / x). [para(12(a,1),354(a,1,2))]. 390 (x * y) \ (K(x,y) * ((y * x) * z)) = L(z,y * x,K(x,y)). [para(354(a,1),18(a,2,1)),flip(a)]. 391 ((x \ y) * x) / y = K(x \ y,x). [hyper(40,a,192,a,b,371,a)]. 392 (x * y) \ x != z | x \ (x / y) = z. [para(381(a,1),286(a,1,2)),flip(b)]. 393 (x * y) * z != y | y \ (x \ y) = z. [para(386(a,1),44(a,1)),flip(a)]. 394 (x / y) / x = x / (x * y). [para(78(a,1),387(a,1,2,2)),flip(a)]. 395 (x * y) / x = x / (x / y). [para(198(a,1),387(a,1,2)),flip(a)]. 396 (x / (x * y)) \ (x / y) = x. [hyper(189,a,394,a)]. 397 (x * (y \ x)) / x = x / y. [para(75(a,1),395(a,2,2))]. 398 (x / y) * x = x * (y \ x). [hyper(134,a,397,a)]. 399 K(x,y) / z = z \ K(x,y). [hyper(64,a,269,a(flip),b,397,a),flip(a)]. 400 T(x / y,x) = y \ x. [para(397(a,1),219(a,1,1))]. 402 T(T(x / y,z),x) = T(y \ x,z). [para(400(a,1),23(a,1,1)),flip(a)]. 403 T(x,y) = (x \ y) \ y. [para(75(a,1),400(a,1,1))]. 404 T(x,x \ y) = T(x,y). [hyper(306,a,107,a,b,403,a)]. 405 (R(x,y,z) \ u) \ u = R(T(x,u),y,z). [hyper(64,a,27,a,b,403,a),flip(a)]. 406 x / T(y,x) = y \ x. [hyper(197,a,403,a(flip))]. 407 (x \ y) * T(x,y) = y. [hyper(135,a,403,a(flip))]. 408 x * (((y \ x) * z) \ x) = (x / z) * T(y,x). [para(403(a,2),33(a,1,2)),flip(a)]. 409 x / T(y,x) != z | y \ x = z. [para(403(a,2),282(a,1,2)),flip(b)]. 410 T(x \ y,y) = T(x,y) \ y. [para(403(a,2),403(a,2,1))]. 411 T(x,x \ K(y,z)) = T(x,x \ 1). [hyper(306,a,383,a(flip),b,404,a),flip(a)]. 412 T(x,x \ R(x,y,z)) = x. [hyper(306,a,172,a(flip),b,404,a),flip(a)]. 413 R(T(x,R(x,y,z) \ u),y,z) = T(R(x,y,z),u). [hyper(64,a,27,a,b,404,a)]. 414 T(x,x * y) = T(x,y). [para(9(a,1),404(a,1,2)),flip(a)]. 415 x / L(T(y,x),z,u) = L(y,z,u) \ x. [para(25(a,2),406(a,1,2))]. 416 T(x,y) / x = x \ T(x,y). [para(174(a,1),406(a,1,2))]. 417 R(x,y,z) / x = x \ R(x,y,z). [para(172(a,1),406(a,1,2))]. 418 L(x,y,z) / x = x \ L(x,y,z). [para(173(a,1),406(a,1,2))]. 419 x / T(x,y) = T(x,y) \ x. [para(175(a,1),406(a,1,2))]. 420 (x \ y) \ y != z | T(x,y) = z. [para(406(a,1),271(a,1,1)),flip(b)]. 421 K(x,y) / ((z \ 1) \ 1) = z \ K(x,y). [para(334(a,1),406(a,1,2))]. 422 (x \ R(x,y,z)) * x = R(x,y,z). [para(172(a,1),407(a,1,2))]. 423 (x \ L(x,y,z)) * x = L(x,y,z). [para(173(a,1),407(a,1,2))]. 424 (x \ K(y,z)) * ((x \ 1) \ 1) = K(y,z). [para(334(a,1),407(a,1,2))]. 426 (x * (y \ x)) / x != z | x / y = z. [para(398(a,1),259(a,1,1)),flip(b)]. 427 (x \ T(x,y)) * x != z | T(x,y) = z. [para(416(a,1),256(a,1,1)),flip(b)]. 428 (T(x,y) \ x) * x = x * (T(x,y) \ x). [para(419(a,1),398(a,1,1))]. 429 x \ (x * y) = L(y,x,1). [para(7(a,1),90(a,1,2))]. 430 L(x,y,1) = x. [hyper(288,a,429,a),flip(a)]. 432 a(1,x,y) = 1. [hyper(54,a,430,a)]. 433 L(x,y,K(z,K(u,w))) = x. [para(251(a,2),430(a,1,3))]. 434 L(x,y,K(z \ 1,z)) = x. [para(337(a,2),430(a,1,3))]. 435 L(x,y,K(z,z \ 1)) = x. [para(341(a,2),430(a,1,3))]. 436 a(K(x,K(y,z)),u,w) = 1. [para(251(a,2),432(a,1,1))]. 437 L(x,y,K(z,K(u,w))) != v5 | x = v5. [para(433(a,1),51(a,2))]. 438 L(x,y,K(z \ 1,z)) != u | x = u. [para(434(a,1),51(a,2))]. 439 K(x,K(y,z)) = a(K(u,K(w,v5)),v6,v7). [hyper(306,a,251,a,b,436,a)]. 440 x \ (x * y) = L(y,1,x). [para(8(a,1),91(a,1,1))]. 441 L(x,1,y) = x. [hyper(288,a,440,a),flip(a)]. 442 L(x,1,y) != z | x = z. [para(440(a,1),288(a,1))]. 444 L(x,K(y,K(z,u)),w) != v5 | x = v5. [para(251(a,2),442(a,1,2))]. 445 L(1,x,y) = 1. [hyper(202,a,92,a),flip(a)]. 447 a(x,y,1) = 1. [hyper(54,a,445,a)]. 448 (x * y) / y = R(x,1,y). [para(8(a,1),98(a,1,1,1))]. 449 R(x,1,y) = x. [hyper(260,a,448,a),flip(a)]. 452 R(x,K(y,K(z,u)),w) = x. [para(251(a,2),449(a,1,2))]. 453 R(x,K(y,y \ 1),z) = x. [para(341(a,2),449(a,1,2))]. 454 (x * y) / y = R(x,y,1). [para(8(a,1),99(a,1,2))]. 455 R(x,y,1) = x. [hyper(260,a,454,a),flip(a)]. 457 R(x,y,K(z \ 1,z)) = x. [para(337(a,2),455(a,1,3))]. 458 R(x,y,K(z,z \ 1)) = x. [para(341(a,2),455(a,1,3))]. 459 L(x,y \ 1,y) != z | y * ((y \ 1) * x) = z. [para(18(a,2),206(a,1)),flip(b)]. 460 L(x \ 1,x,y) = y \ (y / x). [hyper(306,a,320,a(flip),b,214,a),flip(a)]. 462 L((x \ y) \ 1,x \ y,x) = y \ x. [hyper(306,a,153,a(flip),b,214,a),flip(a)]. 464 x * L(y \ 1,y,z) = x * ((z * y) \ z). [hyper(59,a,214,a)]. 465 x / L(y \ 1,y,x) = x * y. [hyper(197,a,214,a(flip))]. 466 (x * y) * L(y \ 1,y,x) = x. [hyper(135,a,214,a(flip))]. 467 L(x \ 1,x,y / x) = y \ (y / x). [para(12(a,1),214(a,2,1))]. 468 T((x * y) \ x,z) = L(T(y \ 1,z),y,x). [para(214(a,1),25(a,2,1)),flip(a)]. 469 R((x * y) \ x,z,u) = L(R(y \ 1,z,u),y,x). [para(214(a,1),29(a,1,1))]. 470 L(L(x \ 1,y,z),x,u) = L((u * x) \ u,y,z). [para(214(a,1),30(a,1,1)),flip(a)]. 471 x * L(y \ 1,y,x) = x / y. [para(214(a,2),198(a,1,2))]. 473 R(1 / x,x,y) \ y = x * y. [hyper(189,a,216,a(flip))]. 474 R(1 / x,x,x \ y) = (x \ y) / y. [para(10(a,1),216(a,2,2))]. 475 T(x / (y * x),z) = R(T(1 / y,z),y,x). [para(216(a,1),27(a,2,1)),flip(a)]. 476 R(x \ 1,x,y) = y / (x * y). [para(325(a,1),216(a,1,1))]. 479 x * T(T(y,x),z) != u * x | T(y,z) = u. [para(23(a,1),232(a,1,2)),flip(b)]. 480 (x / y) * y != z * u | x / u = z. [para(156(a,2),255(a,1))]. 481 x * (y * (y \ 1)) != z * u | z \ x = u. [para(10(a,2),261(a,1,2))]. 482 x * (x \ y) != z * u | z \ y = u. [para(159(a,2),261(a,1))]. 483 x * T(T(y,x),z) != u | T(y,z) * x = u. [para(23(a,1),281(a,1,2))]. 484 x * L(T(y,x),z,u) != w | L(y,z,u) * x = w. [para(25(a,2),281(a,1,2))]. 485 L(x,y,z) * x != u | x * L(x,y,z) = u. [para(173(a,1),281(a,1,2))]. 486 x * K(y,z) != u | T(K(y,z),w) * x = u. [para(245(a,1),281(a,1,2))]. 489 T(x / y,y) != z | y \ x = z. [para(10(a,1),290(a,1,1,1))]. 490 T(x / y,x) != z | y \ x = z. [para(397(a,1),290(a,1,1))]. 493 L(x,y,z) / x != u | x \ L(x,y,z) = u. [para(173(a,1),409(a,1,2))]. 494 x / T(x,y) != z | T(x,y) \ x = z. [para(175(a,1),409(a,1,2))]. 496 T(x,x \ y) != z | T(x,y) = z. [para(107(a,2),420(a,1))]. 497 L(x \ 1,x,y) \ z = (y \ (y / x)) \ z. [hyper(62,a,460,a)]. 498 x * L(y \ 1,y,z) = x * (z \ (z / y)). [hyper(59,a,460,a)]. 499 R(x \ (x / y),z,u) = L(R(y \ 1,z,u),y,x). [para(460(a,1),29(a,1,1))]. 500 L(x,x \ 1,y) = y \ (y / (x \ 1)). [para(326(a,1),460(a,1,1))]. 502 x \ (x / L(y \ 1,y,x)) = y. [hyper(125,a,465,a(flip))]. 504 (x * y) \ x != z | L(y \ 1,y,x) = z. [para(465(a,1),271(a,1,1)),flip(b)]. 505 L(L(x \ 1,x,y),y * x,z) = (z * (y * x)) \ (z * y). [para(466(a,1),18(a,2,2,2))]. 506 L(L(x \ 1,x,y) \ 1,L(x \ 1,x,y),y) = x. [hyper(35,a,465,a(flip),b,471,a),flip(a)]. 510 R(x,x \ 1,y) \ y = (x \ 1) * y. [para(75(a,1),473(a,1,1,1))]. 511 T(x,y) != z | y \ (x * y) = z. [para(11(a,1),489(a,1,1))]. 513 T(x,y) != z | T(x,x * y) = z. [para(9(a,1),496(a,1,2))]. 514 T(x,T(y,x)) != z | T(x,y * x) = z. [para(22(a,2),496(a,1,2))]. 515 (x \ 1) * (y \ 1) = (y * x) \ 1. [para(325(a,1),111(a,1,1))]. 516 (1 / x) \ L(y,x,1 / x) = x * y. [hyper(118,a,18,a,b,161,a(flip))]. 517 x \ L(y,x \ 1,x) = (x \ 1) * y. [hyper(118,a,18,a,b,160,a(flip))]. 518 (x * (y \ z)) \ z = z \ (y * (x \ z)). [hyper(118,a,182,a(flip),b,33,a(flip)),flip(a)]. 519 x / K(y \ 1,y) = (x \ 1) \ 1. [hyper(119,a,326,a(flip),b,340,a)]. 520 (x \ 1) / (y \ 1) = 1 / (y \ x). [hyper(119,a,153,a(flip),b,111,a)]. 521 R(R(x,y,z),u,w) * (y * z) = (R(x,u,w) * y) * z. [hyper(120,a,31,a,b,20,a(flip))]. 522 (x * y) * K(z,z \ 1) = x * (y * K(z,z \ 1)). [hyper(120,a,458,a(flip),b,20,a(flip)),flip(a)]. 523 (x * y) * K(z \ 1,z) = x * (y * K(z \ 1,z)). [hyper(120,a,457,a(flip),b,20,a(flip)),flip(a)]. 524 (x * K(y,y \ 1)) * z = x * (K(y,y \ 1) * z). [hyper(120,a,453,a(flip),b,20,a(flip)),flip(a)]. 525 L(R(x,y,z),u,w) * (y * z) = (L(x,u,w) * y) * z. [hyper(120,a,29,a(flip),b,20,a(flip))]. 526 T(R(x,y,z),u) * (y * z) = (T(x,u) * y) * z. [hyper(120,a,27,a(flip),b,20,a(flip))]. 527 (x * y) * L(L(z,y,x),u,w) = x * (y * L(z,u,w)). [hyper(121,a,30,a,b,18,a(flip))]. 528 (x * y) * R(L(z,y,x),u,w) = x * (y * R(z,u,w)). [hyper(121,a,29,a,b,18,a(flip))]. 529 x * L(y,z \ x,z) = z * ((z \ x) * y). [hyper(121,a,18,a,b,153,a(flip))]. 530 (x * y) * T(L(z,y,x),u) = x * (y * T(z,u)). [hyper(121,a,25,a(flip),b,18,a(flip))]. 531 (x * (K(y,z) * u)) / (u * K(y,z)) = x. [hyper(196,a,244,a(flip),b,9,a)]. 533 L(x \ T(y,z),x,z) = (z * x) \ (y * z). [para(220(a,1),18(a,2,2))]. 535 x * T(x \ (y * x),z) = T(y,z) * x. [para(22(a,1),227(a,1,2,1))]. 536 x * T(T(T(y,x),z),u) = T(T(y,z),u) * x. [para(23(a,1),227(a,1,2,1))]. 537 T(x / y,z) * y = y * T(y \ x,z). [para(108(a,1),227(a,1,2,1)),flip(a)]. 538 T((x * y) / x,z) * x = x * T(y,z). [para(219(a,1),227(a,1,2,1)),flip(a)]. 539 (x \ y) * T((x \ y) \ y,z) = T(x,z) * (x \ y). [para(107(a,1),227(a,1,2,1))]. 540 (x * (y * R(y,z,u))) \ ((x * R(y,z,u)) * y) = a(x,R(y,z,u),y). [para(233(a,1),14(a,2,1,2)),flip(a)]. 541 (x * T(x \ y,z)) / x = T(y / x,z). [hyper(274,a,236,a)]. 542 T(x \ y,z) != T(u,x) | T(y / x,z) = u. [para(236(a,1),50(a,1))]. 543 (x * T(y,z)) / x = T((x * y) / x,z). [para(219(a,1),273(a,1,1,2,1))]. 544 T(T(x,y),z) != u | T(T(x,z),y) = u. [para(273(a,1),290(a,1,1))]. 545 T(x,K(y,z)) = K(u,K(w,v5)) * x. [hyper(121,a,246,a(flip),b,275,a(flip)),flip(a)]. 546 x \ ((y \ x) * y) != z | K(y \ x,y) = z. [para(299(a,1),286(a,1,2)),flip(b)]. 547 (x * (y * (z \ 1))) \ 1 = (z * (y \ 1)) * (x \ 1). [para(318(a,1),318(a,1,1,2))]. 548 (x \ 1) * K(y,y \ 1) = 1 / x. [hyper(64,a,244,a(flip),b,343,a)]. 549 K(x \ 1,x) * y = 1 / (1 / y). [hyper(64,a,244,a,b,344,a)]. 550 x * K(y,y \ 1) = 1 / (1 / x). [para(326(a,1),344(a,1,2,1))]. 551 K(x \ 1,x) \ y = (y \ 1) \ 1. [hyper(36,a,252,a,b,345,a)]. 553 (1 / x) * K(y,y \ 1) = x \ 1. [para(326(a,1),346(a,1,2,1))]. 554 x * K(y \ 1,y) != z | K(u \ 1,u) * x = z. [para(384(a,1),281(a,1,2))]. 555 x / T(y \ x,z) = T(x / y,z) \ x. [hyper(196,a,402,a(flip),b,403,a(flip))]. 556 ((x * (y \ L(y,z,u))) * y) / L(y,z,u) = R(x,y \ L(y,z,u),y). [para(423(a,1),20(a,2,2)),flip(a)]. 557 (K(x,K(y,z)) * u) \ K(x,K(y,z)) != w | u \ 1 = w. [para(214(a,1),437(a,1))]. 558 (x \ 1) / (y \ 1) = (y \ x) \ 1. [hyper(119,a,153,a(flip),b,515,a)]. 559 ((x * y) \ 1) \ ((y \ 1) * ((x \ 1) * z)) = L(z,x \ 1,y \ 1). [para(515(a,1),18(a,2,1)),flip(a)]. 560 (((x * y) \ 1) * z) / ((x \ 1) * z) = R(y \ 1,x \ 1,z). [para(515(a,1),20(a,2,1,1)),flip(a)]. 561 ((x \ 1) * y) \ 1 = (y \ 1) * x. [para(326(a,1),515(a,1,2)),flip(a)]. 562 T(x,x \ 1) = x / K(y \ 1,y). [hyper(306,a,107,a,b,519,a)]. 563 (x \ 1) / (y \ 1) != z | (y \ x) \ 1 = z. [para(520(a,2),328(a,1))]. 564 K(x \ 1,x) * y = (y \ 1) \ 1. [hyper(306,a,336,a(flip),b,549,a),flip(a)]. 565 x * K(y,y \ 1) = (x \ 1) \ 1. [hyper(306,a,336,a(flip),b,550,a),flip(a)]. 566 (1 / (1 / x)) * K(y,y \ 1) = x. [hyper(306,a,78,a(flip),b,553,a),flip(a)]. 567 T((x \ y) \ 1,x \ 1) = (x \ 1) \ (y \ 1). [para(558(a,1),108(a,1,1))]. 568 (x \ (y \ 1)) \ 1 = y / (x \ 1). [para(326(a,1),558(a,1,1)),flip(a)]. 569 ((x \ 1) \ y) \ 1 = (y \ 1) / x. [para(326(a,1),558(a,1,2)),flip(a)]. 570 T((x \ y) \ 1,y \ 1) = (x \ 1) \ (y \ 1). [para(558(a,1),400(a,1,1))]. 571 (x * (y \ 1)) / (z \ 1) = (z \ (y * (x \ 1))) \ 1. [para(318(a,1),558(a,1,1))]. 572 x \ 1 != (y \ 1) * z | (z \ 1) * y = x. [para(561(a,1),49(a,1)),flip(a)]. 574 (x \ 1) / ((y \ 1) * z) = (((z \ 1) * y) \ x) \ 1. [para(561(a,1),558(a,1,2))]. 575 K(x,x \ 1) * y = (y \ 1) \ 1. [para(326(a,1),564(a,1,1,1))]. 576 x / K(y \ 1,y) = x * K(z,z \ 1). [hyper(306,a,519,a,b,565,a)]. 577 K(x \ 1,x) * (y * K(z,z \ 1)) = y. [hyper(121,a,565,a,b,551,a)]. 578 (K(x \ 1,x) * y) * K(z,z \ 1) = y. [para(549(a,2),566(a,1,1))]. 579 (x / (y \ 1)) \ 1 = y \ (x \ 1). [hyper(331,a,568,a)]. 580 (x \ (y \ 1)) / (z \ 1) = (z \ (y / (x \ 1))) \ 1. [para(568(a,1),568(a,1,1,2)),flip(a)]. 581 ((x \ 1) / y) \ 1 = (y \ 1) \ x. [hyper(331,a,569,a)]. 582 ((x \ 1) / y) / (z \ 1) = (z \ ((y \ 1) \ x)) \ 1. [para(569(a,1),558(a,1,1))]. 583 T(x,x \ 1) = K(y,y \ 1) * x. [hyper(306,a,107,a,b,575,a)]. 584 (x \ 1) \ (y \ 1) = (y / x) \ 1. [para(326(a,1),579(a,1,1,2)),flip(a)]. 585 (x \ (y \ 1)) \ 1 != z | y / (x \ 1) = z. [para(579(a,1),332(a,1,1)),flip(b)]. 586 (((x \ 1) * y) / z) \ 1 = (z \ 1) \ ((y \ 1) * x). [para(561(a,1),581(a,1,1,1))]. 587 (x * (y * z)) / L(T(y,z),z,x) = x * z. [hyper(119,a,218,a(flip),b,93,a)]. 588 x * L(y,z,x / z) = (x / z) * (z * y). [hyper(64,a,150,a(flip),b,93,a)]. 589 L(x \ T(y * x,y),x,y) = y. [hyper(35,a,220,a(flip),b,93,a),flip(a)]. 590 L(x \ (y \ ((y * x) * z)),x,y) = z. [hyper(35,a,72,a(flip),b,93,a),flip(a)]. 591 (x * (y * (x * y))) / (x * y) = L(x * y,y,x). [hyper(119,a,93,a(flip),b,234,a)]. 592 L(x,y,z) \ (z * (y * x)) = T(z * y,L(x,y,z)). [hyper(118,a,93,a(flip),b,106,a)]. 593 (x * (y * z)) \ (x * (y * (z * u))) = L(L(u,z,y),y * z,x). [para(93(a,1),18(a,2,2,2)),flip(a)]. 594 (x * (y * z)) / (y * L(z,y,x)) = R(x,y,L(z,y,x)). [para(93(a,1),20(a,2,1)),flip(a)]. 595 (x * y) * z != x * (y * u) | L(u,y,x) = z. [para(93(a,1),44(a,1)),flip(a)]. 596 (x * y) * L(z,T(x,y),y) = y * (T(x,y) * z). [para(106(a,1),93(a,1,1))]. 597 (x * y) \ (x * (y * z)) != u | L(z,y,x) = u. [para(93(a,1),286(a,1,2)),flip(b)]. 599 (x * K(y,z)) * L(u,x,K(y,z)) = K(y,z) * (x * u). [para(244(a,1),93(a,1,1))]. 600 K(x \ 1,x) * L(y,z,z \ 1) = (z \ 1) * (z * y). [para(339(a,2),93(a,1,1))]. 601 x * ((x \ 1) * y) != z | L(y,x \ 1,x) = z. [para(93(a,1),200(a,1)),flip(b)]. 603 L(x \ y,x,1 / x) = (1 / x) * y. [hyper(306,a,161,a(flip),b,95,a),flip(a)]. 604 L((x \ 1) \ y,x \ 1,x) = x * y. [hyper(306,a,160,a(flip),b,95,a),flip(a)]. 605 L((x \ y) \ z,x \ y,x) = y \ (x * z). [hyper(306,a,153,a(flip),b,95,a),flip(a)]. 606 L(x \ y,x,z / x) = z \ ((z / x) * y). [para(12(a,1),95(a,2,1))]. 607 L(x \ y,x,z / y) = ((z / y) * x) \ z. [para(12(a,1),95(a,2,2))]. 608 (x * (y * (z * u))) \ (x * ((y * z) * u)) = L(a(y,z,u),y * (z * u),x). [para(14(a,2),95(a,1,1)),flip(a)]. 609 T((x * y) \ (x * z),u) = L(T(y \ z,u),y,x). [para(95(a,1),25(a,2,1)),flip(a)]. 610 L(T(x,y) \ z,T(x,y),y) = (x * y) \ (y * z). [para(106(a,1),95(a,2,1))]. 611 L(K(x,y) \ z,K(x,y),y * x) = (x * y) \ ((y * x) * z). [para(85(a,1),95(a,2,1))]. 612 (x * y) / L(y \ z,y,x) = (x * y) * ((x * z) \ (x * y)). [para(95(a,2),322(a,1,2))]. 613 L((x \ 1) \ y,x \ 1,x) != z | x * y = z. [para(95(a,2),206(a,1)),flip(b)]. 614 L(x \ L(y \ 1,y,z),x,z) = (z * x) \ (z / y). [para(471(a,1),95(a,2,2))]. 615 L(L(x,y,z) \ u,L(x,y,z),z * y) = (z * (y * x)) \ ((z * y) * u). [para(93(a,1),95(a,2,1))]. 616 L(x \ L(y,z,u),x,u * z) = ((u * z) * x) \ (u * (z * y)). [para(93(a,1),95(a,2,2))]. 617 R(x / y,y,x \ z) \ z = y * (x \ z). [hyper(118,a,298,a(flip),b,102,a)]. 618 R(x,x \ y,z) \ (y * z) = (x \ y) * z. [hyper(118,a,151,a(flip),b,102,a)]. 619 ((x * y) * z) \ ((y * z) * R(x,y,z)) = K(y * z,R(x,y,z)). [para(102(a,1),16(a,2,1)),flip(a)]. 620 (x * y) * z != u * (y * z) | R(x,y,z) = u. [para(102(a,1),45(a,1))]. 621 ((x * y) * z) / (y * z) != u | R(x,y,z) = u. [para(102(a,1),259(a,1,1)),flip(b)]. 622 R(x,y * z,K(z,y)) * (z * y) = (x * (y * z)) * K(z,y). [para(85(a,1),102(a,1,2))]. 623 R(x,K(y,z),u) * (u * K(y,z)) = (x * K(y,z)) * u. [para(244(a,1),102(a,1,2))]. 624 (x * y) * (y \ 1) != z | R(x,y,y \ 1) = z. [para(102(a,1),205(a,1))]. 625 R(x / (1 / y),1 / y,y) = x * y. [hyper(306,a,169,a(flip),b,103,a),flip(a)]. 626 R(x / y,y,y \ 1) = x * (y \ 1). [hyper(306,a,168,a(flip),b,103,a),flip(a)]. 627 R(x / (y / z),y / z,z) = (x * z) / y. [para(12(a,1),103(a,2,2))]. 628 T((x * y) / (z * y),u) = R(T(x / z,u),z,y). [para(103(a,1),27(a,2,1)),flip(a)]. 629 T(R(x / y,y,z),y * z) = (y * z) \ (x * z). [para(103(a,2),108(a,1,1))]. 630 T(R(x / y,y,z),x * z) = (y * z) \ (x * z). [para(103(a,2),400(a,1,1))]. 631 R(R(x,y,z) / u,u,y * z) = ((x * y) * z) / (u * (y * z)). [para(102(a,1),103(a,2,1))]. 632 R(x / R(y,z,u),R(y,z,u),z * u) = (x * (z * u)) / ((y * z) * u). [para(102(a,1),103(a,2,2))]. 633 x * y != z * u | z \ (x * y) = u. [para(71(a,1),126(a,1,2)),flip(b)]. 634 R(x * y,L(z,y,x),u) \ ((x * (y * z)) * u) = L(z,y,x) * u. [para(93(a,1),183(a,1,2,1))]. 635 R(x,1 / x,y) = y / ((x \ 1) * y). [para(325(a,2),212(a,1,2))]. 636 R(x,x \ 1,x) = x / K(y \ 1,y). [para(339(a,2),212(a,2,2))]. 637 x \ L(L(y,x \ 1,x),z,u) = (x \ 1) * L(y,z,u). [hyper(118,a,30,a,b,264,a)]. 638 x \ T(L(y,x \ 1,x),z) = (x \ 1) * T(y,z). [hyper(118,a,25,a(flip),b,264,a)]. 639 L(T(x,y \ 1),y \ 1,y) = y * (x * (y \ 1)). [hyper(64,a,218,a(flip),b,264,a),flip(a)]. 640 x \ L(y,x \ 1,x) != z | (x \ 1) * y = z. [para(264(a,1),286(a,1,2)),flip(b)]. 641 (1 / x) * (x * y) = L(y,x,x \ 1). [para(325(a,1),265(a,2,3))]. 642 L(R(x,y,y \ 1),z,u) / (y \ 1) = L(x,z,u) * y. [hyper(119,a,29,a(flip),b,266,a)]. 643 (x * (1 / y)) * y = R(x,y \ 1,y). [para(325(a,1),267(a,2,2))]. 644 T(x,K(y,z)) != u | T(x,K(w,v5)) = u. [para(246(a,1),279(a,1,1)),flip(b)]. 645 L(x,(y \ z) / x,y) = (y * ((y \ z) / x)) \ z. [para(78(a,1),293(a,1,1))]. 646 (x / (K(y,K(z,u)) * w)) * K(y,K(z,u)) = x / w. [hyper(120,a,297,a(flip),b,452,a(flip))]. 647 x \ (y * (x / y)) != z | K(y,x / y) = z. [para(12(a,1),302(a,1,1))]. 649 (x * (x \ y)) * z != u | y * z = u. [para(75(a,1),309(a,1,1,1))]. 651 (x * K(y,z)) * u != w | (K(y,z) * x) * u = w. [para(269(a,1),309(a,1,1,1))]. 652 (K(x,y) * z) * u != w | (z * K(x,y)) * u = w. [para(270(a,1),309(a,1,1,1))]. 655 ((x / y) * y) * z != u * w | u \ (x * z) = w. [para(154(a,1),310(a,1,1))]. 660 ((x / y) * y) * (x \ z) != u * w | z / w = u. [para(150(a,2),311(a,1))]. 663 (x / y) \ (z * (z \ x)) != u * w | u \ y = w. [para(155(a,1),312(a,1,2))]. 665 x \ y != z * (u \ (u * (z \ w))) | x * w = y. [para(9(a,2),313(a,2,2))]. 667 x \ y != (z / u) * u | x * z = y. [para(78(a,1),313(a,2,2))]. 668 x * (y * T(z,y)) != u | x * (z * y) = u. [para(22(a,2),314(a,1,2,2))]. 670 x * (K(y,z) * u) != w | x * (u * K(y,z)) = w. [para(248(a,1),314(a,1,2,2))]. 672 x * ((y * (z \ x)) \ x) != u | z * (y \ x) = u. [para(33(a,1),315(a,1))]. 673 ((x \ 1) \ 1) * y != z | x * y = z. [para(325(a,1),315(a,1,1))]. 674 ((x * y) * z) / a(x,y,z) != u * w | u \ (x * (y * z)) = w. [para(14(a,2),316(a,1,2))]. 675 (x * (y * z)) / L(z,y,x) != u * w | u \ (x * y) = w. [para(18(a,2),316(a,1,2))]. 676 x / x != y * z | y \ 1 = z. [para(66(a,1),316(a,1,2))]. 677 L((x \ y) \ z,x \ y,x) != u | y \ (x * z) = u. [para(95(a,2),317(a,1))]. 679 T(x,K(y,z)) != u | K(w,K(v5,v6)) * x = u. [para(276(a,2),358(a,1))]. 680 x != y | T(y,K(z,u)) = x. [para(242(a,1),369(a,1))]. 683 T(x,K(y,z)) != u | x * K(w,K(v5,v6)) = u. [para(545(a,2),373(a,1))]. 688 (x * y) / x != z | x / (x / y) = z. [para(78(a,1),426(a,1,1,2))]. 689 L(x \ 1,x,y / x) = L(x \ 1,x,y). [hyper(306,a,460,a,b,467,a),flip(a)]. 690 T((x \ y) / y,z) = R(T(1 / x,z),x,x \ y). [para(474(a,1),27(a,2,1)),flip(a)]. 691 (x \ (x * (y / z))) * z != u * w | y / w = u. [para(9(a,2),480(a,1,1))]. 692 (((x / y) / z) * z) * y != u * w | x / w = u. [para(12(a,2),480(a,1,1))]. 693 ((x / y) * y) * z != u * w | (x * z) / w = u. [para(154(a,1),480(a,1,1))]. 694 x * (y * (y \ (x \ z))) != u * w | u \ z = w. [para(10(a,2),482(a,1,2))]. 696 x * (y * (y \ z)) != u * w | u \ (x * z) = w. [para(158(a,1),482(a,1,2))]. 697 L(x,x \ 1,y) \ z = (y \ (y / (x \ 1))) \ z. [hyper(62,a,500,a)]. 698 L(x,x \ 1,y \ 1) = (y \ 1) \ ((x \ y) \ 1). [para(558(a,1),500(a,2,2))]. 701 (1 / x) \ L(y,x,x \ 1) = x * y. [para(325(a,1),516(a,1,2,3))]. 702 x \ y != (x \ 1) * z | L(z,x \ 1,x) = y. [para(517(a,1),48(a,1)),flip(a)]. 703 L(T(x \ y,z),x,1 / x) = T((1 / x) * y,z). [para(603(a,1),25(a,2,1))]. 704 L(x \ y,x,x \ 1) = (1 / x) * y. [para(325(a,1),603(a,1,3))]. 705 L(T((x \ 1) \ y,z),x \ 1,x) = T(x * y,z). [para(604(a,1),25(a,2,1))]. 706 R(T(x / (1 / y),z),1 / y,y) = T(x * y,z). [para(625(a,1),27(a,2,1))]. 707 R(x / (1 / y),y \ 1,y) = x * y. [para(325(a,1),625(a,1,2))]. 708 (x * (x \ y)) * z != u * w | u \ (y * z) = w. [para(151(a,2),633(a,1))]. 709 R(x,1 / x,y) = R(x,x \ 1,y). [hyper(306,a,212,a,b,635,a),flip(a)]. 710 R(x,x \ 1,x) = T(x,x \ 1). [hyper(306,a,562,a,b,636,a),flip(a)]. 712 R(x,1 / x,x) = T(x,x \ 1). [hyper(64,a,709,a,b,710,a)]. 713 L(T(x,y),y,y \ 1) = (1 / y) * (x * y). [hyper(64,a,218,a(flip),b,641,a),flip(a)]. 714 (x \ 1) * (x * y) = L(y,x,x \ 1). [para(325(a,1),641(a,1,1))]. 715 K(x,K(y,z)) \ u != w | T(u,K(v5,v6)) = w. [para(275(a,1),644(a,1))]. 716 ((x / y) \ x) * z != u | y * z = u. [para(192(a,2),649(a,1,1))]. 717 (x \ 1) \ L(y,x,x \ 1) = x * y. [para(325(a,1),701(a,1,1))]. 718 L((x \ 1) \ y,x \ 1,(x \ 1) \ 1) = x * y. [hyper(306,a,182,a(flip),b,704,a),flip(a)]. 719 L(x \ y,x,x \ 1) = (x \ 1) * y. [para(325(a,1),704(a,2,1))]. 720 L((x \ 1) * (x * y),z,u) = L(L(y,z,u),x,x \ 1). [para(714(a,2),30(a,1,1))]. 723 (x \ 1) \ y != x * z | L(z,x,x \ 1) = y. [para(717(a,1),48(a,1)),flip(a)]. 724 (x \ 1) * (x * y) != z | L(y,x,x \ 1) = z. [para(717(a,1),262(a,1,2)),flip(b)]. 725 L(L(x \ y,z,u),x,x \ 1) = L((x \ 1) * y,z,u). [para(719(a,1),30(a,1,1)),flip(a)]. 727 T(T(T(x,y),z),u) != w | T(T(T(x,z),y),u) = w. [para(109(a,1),544(a,1))]. 728 (x * (y \ x)) / (z \ x) = x / (z \ y). [para(10(a,1),113(a,1,1,2,1))]. 729 (x / y) * (z \ x) != u | x * ((z * y) \ x) = u. [para(113(a,1),256(a,1,1)),flip(b)]. 730 (x * (y \ z)) / z = z / (y * (x \ z)). [hyper(196,a,188,a(flip),b,350,a),flip(a)]. 731 (x * (y \ z)) / z != u | z / (y * (x \ z)) = u. [para(188(a,1),426(a,1,1))]. 732 ((x / y) * z) \ x = x \ ((x / z) * y). [hyper(125,a,195,a),flip(a)]. 733 ((x / y) * z) / x = x / ((x / z) * y). [hyper(196,a,195,a(flip),b,350,a),flip(a)]. 734 ((x / y) * z) / x != u | x / ((x / z) * y) = u. [para(195(a,1),426(a,1,1))]. 735 x * (y * T(z,x * y)) = L(z,y,x) * (x * y). [hyper(64,a,93,a(flip),b,228,a)]. 736 x * L(x \ (y * x),z,u) = L(y,z,u) * x. [para(22(a,1),228(a,1,2,1))]. 737 L(x / y,z,u) * y = y * L(y \ x,z,u). [para(108(a,1),228(a,1,2,1)),flip(a)]. 738 L(K(x,y),z,u) * w = w * L(K(x,y),z,u). [para(149(a,1),228(a,1,2,1)),flip(a)]. 739 L((x * y) / x,z,u) * x = x * L(y,z,u). [para(219(a,1),228(a,1,2,1)),flip(a)]. 740 (x \ y) * L((x \ y) \ y,z,u) = L(x,z,u) * (x \ y). [para(107(a,1),228(a,1,2,1))]. 741 L(x \ 1,y,z) * x = x * L(x \ 1,y,z). [para(330(a,1),228(a,1,2,1)),flip(a)]. 742 x * L(T(y,x),z,u) != w * v5 | w \ (L(y,z,u) * x) = v5. [para(228(a,2),633(a,1))]. 743 (x * y) * R(T(z,x * y),x,y) = (z * x) * y. [hyper(306,a,102,a(flip),b,229,a),flip(a)]. 744 ((x * y) * z) / R(T(x,y * z),y,z) = y * z. [hyper(119,a,102,a(flip),b,229,a)]. 745 (x * y) \ ((z * x) * y) = R(T(z,x * y),x,y). [hyper(118,a,102,a(flip),b,229,a)]. 746 x * R(T(T(y,x),z),u,w) = R(T(y,z),u,w) * x. [para(23(a,1),229(a,1,2,1))]. 747 R(x / y,z,u) * y = y * R(y \ x,z,u). [para(108(a,1),229(a,1,2,1)),flip(a)]. 748 R(K(x,y),z,u) * w = w * R(K(x,y),z,u). [para(149(a,1),229(a,1,2,1)),flip(a)]. 749 R((x * y) / x,z,u) * x = x * R(y,z,u). [para(219(a,1),229(a,1,2,1)),flip(a)]. 750 (x \ y) * R((x \ y) \ y,z,u) = R(x,z,u) * (x \ y). [para(107(a,1),229(a,1,2,1))]. 751 R(x \ 1,y,z) * x = x * R(x \ 1,y,z). [para(330(a,1),229(a,1,2,1)),flip(a)]. 752 (x \ y) * R(T(x,y),z,u) = R(x,z,u) * (x \ y). [para(404(a,1),229(a,1,2,1))]. 753 (x * y) * R(T(x,y),z,u) = R(x,z,u) * (x * y). [para(414(a,1),229(a,1,2,1))]. 754 L(T(x,y),y,x) = T(x,x * y). [hyper(230,a,218,a(flip),b,93,a),flip(a)]. 755 T(L(x,y,x),y) = T(x,x * y). [hyper(64,a,25,a(flip),b,754,a)]. 756 L(T(T(x,y),z),y,x) = T(T(x,x * y),z). [para(754(a,1),25(a,2,1))]. 757 L(x,y,x) = x. [hyper(41,a,414,a(flip),b,755,a),flip(a)]. 758 T(x,K(y,z)) = L(x,u,x). [hyper(680,a,757,a)]. 759 L(x \ y,z,x \ y) = T(y / x,y). [hyper(306,a,400,a,b,757,a),flip(a)]. 762 L(x,y,x) = z \ (z * x). [hyper(306,a,9,a,b,757,a),flip(a)]. 763 a(x,y,x) = 1. [hyper(54,a,757,a)]. 764 (x * y) * x = x * (y * x). [hyper(121,a,757,a(flip),b,18,a(flip))]. 765 L(x,y,R(x,z,u)) = x. [hyper(43,a,29,a,b,757,a(flip))]. 766 L(x,y,L(x,z,u)) = x. [hyper(42,a,30,a,b,757,a(flip))]. 767 L(x,y,T(x,z)) = x. [hyper(41,a,25,a(flip),b,757,a(flip))]. 768 L(T(x,y),z,x) = T(x,y). [para(757(a,1),25(a,2,1))]. 769 L(R(x,y,z),u,x) = R(x,y,z). [para(757(a,1),29(a,1,1)),flip(a)]. 770 L(L(x,y,z),u,x) = L(x,y,z). [para(757(a,1),30(a,1,1)),flip(a)]. 771 a(x,y,x) \ z = z. [para(763(a,2),66(a,1,1))]. 772 T(x,a(y,z,y)) = x. [para(763(a,2),177(a,1,2))]. 773 L(x,y,a(z,u,z)) = x. [para(763(a,2),430(a,1,3))]. 774 L(x,a(y,z,y),u) = x. [para(763(a,2),441(a,1,2))]. 775 R(x,a(y,z,y),u) = x. [para(763(a,2),449(a,1,2))]. 776 L(x,y,x) = a(z,u,z) \ x. [hyper(306,a,757,a,b,771,a)]. 777 x / a(y,z,y) = a(y,z,y) \ x. [hyper(489,a,772,a),flip(a)]. 778 a(x,y,x) * z = z * a(x,y,x). [hyper(121,a,772,a(flip),b,22,a(flip))]. 780 (R(x,y,z) \ 1) * x = R(x,y,z) \ x. [hyper(118,a,765,a(flip),b,264,a),flip(a)]. 781 (L(x,y,z) * u) * x = L(x,y,z) * (u * x). [hyper(121,a,766,a(flip),b,18,a(flip))]. 782 (L(x,y,z) \ 1) * x = L(x,y,z) \ x. [hyper(118,a,766,a(flip),b,264,a),flip(a)]. 783 L(T(x,y),z,L(x,u,w)) = T(x,y). [para(766(a,1),25(a,2,1))]. 784 (a(x,y,x) * z) * u = a(x,y,x) * (z * u). [hyper(121,a,773,a(flip),b,18,a(flip))]. 785 L(x,y,a(z,u,z)) != w | x = w. [para(773(a,1),51(a,2))]. 786 (x * a(y,z,y)) * u = x * (a(y,z,y) * u). [hyper(121,a,774,a(flip),b,18,a(flip))]. 789 (x \ 1) \ T(x \ 1,y) = x * T(x \ 1,y). [hyper(118,a,768,a(flip),b,714,a)]. 790 x * ((x \ y) * x) = y * x. [hyper(649,a,764,a),flip(a)]. 791 T((x \ y) * x,x \ y) = y. [hyper(230,a,764,a,b,152,a(flip))]. 792 T(x * y,x) = y * x. [hyper(230,a,764,a,b,xx)]. 793 T(x,y) = (y \ x) * y. [hyper(230,a,151,a(flip),b,764,a(flip))]. 794 T(x,x / y) = y * (x / y). [hyper(230,a,150,a(flip),b,764,a(flip))]. 795 R(x,y,x) = x. [hyper(36,a,102,a,b,764,a(flip))]. 797 (x * (y * x)) \ ((x * y) * z) = L(x \ z,x,x * y). [para(764(a,1),95(a,2,1)),flip(a)]. 798 R(x,y,x) = R(x,z,x). [hyper(306,a,795,a,b,795,a)]. 799 R(x,y,x) = L(x,z,x). [hyper(306,a,757,a,b,795,a),flip(a)]. 800 R(T(x,y),z,T(x,y)) = T(x,x \ y). [hyper(306,a,404,a,b,795,a),flip(a)]. 801 R(x \ 1,y,x \ 1) = T(x \ 1,x). [hyper(306,a,330,a,b,795,a),flip(a)]. 802 R(x,y,x) = (x \ 1) \ 1. [hyper(306,a,326,a,b,795,a),flip(a)]. 804 a(x,y,x) = R(z,u,z) / z. [hyper(196,a,795,a(flip),b,771,a),flip(a)]. 805 R(x,y,x) = a(z,u,z) * x. [hyper(121,a,795,a(flip),b,771,a),flip(a)]. 807 R(x,y,R(x,z,u)) = x. [hyper(43,a,31,a,b,795,a(flip))]. 808 R(x,y,L(x,z,u)) = x. [hyper(42,a,29,a(flip),b,795,a(flip))]. 809 R(x,y,T(x,z)) = x. [hyper(41,a,27,a(flip),b,795,a(flip))]. 810 R(T(x,y),z,x) = T(x,y). [para(795(a,1),27(a,2,1))]. 812 (x * y) * K(y,x) = T(x * y,x). [hyper(306,a,85,a,b,792,a)]. 813 T(x * (y / x),x) = y. [hyper(306,a,12,a(flip),b,792,a),flip(a)]. 814 x * (T(y,x) / x) = y. [hyper(139,a,792,a),flip(a)]. 815 x / (y * x) = (x * y) \ x. [hyper(196,a,792,a(flip),b,403,a(flip))]. 816 T(x * y,x) = a(z,u,z) * (y * x). [hyper(121,a,792,a(flip),b,771,a),flip(a)]. 817 T(T(x * y,z),x) = T(y * x,z). [para(792(a,1),23(a,1,1)),flip(a)]. 818 T(x,y) != z * y | y * z = x. [para(792(a,1),50(a,1)),flip(a)]. 819 T(x * y,y) = T(x,y) * y. [para(106(a,1),792(a,1,1))]. 820 x / (y * x) != z | (x * y) \ x = z. [para(792(a,1),409(a,1,2))]. 821 T(x * (y * z),x * y) = L(z,y,x) * (x * y). [para(93(a,1),792(a,1,1))]. 822 T((x * y) * z,R(x,y,z)) = (y * z) * R(x,y,z). [para(102(a,1),792(a,1,1))]. 824 L(x * y,z,u) * x = x * L(y * x,z,u). [para(792(a,1),228(a,1,2,1)),flip(a)]. 825 T(x,y) = K(y \ x,y) * x. [hyper(306,a,388,a,b,793,a),flip(a)]. 826 T(x,y) = x * K(y \ x,y). [hyper(306,a,299,a,b,793,a),flip(a)]. 827 T(x,y) / y = y \ x. [hyper(119,a,793,a,b,xx)]. 828 K(x \ y,x) = y \ T(y,x). [hyper(118,a,793,a,b,299,a),flip(a)]. 829 T(x \ y,x) = x \ T(y,x). [hyper(118,a,793,a,b,106,a),flip(a)]. 830 (x \ y) \ T(y,x) = x. [hyper(118,a,793,a,b,xx)]. 831 R(T(x,y),z,u) / y = y \ R(x,z,u). [hyper(119,a,27,a,b,793,a(flip))]. 832 L(T(x,y),z,u) / y = y \ L(x,z,u). [hyper(119,a,25,a,b,793,a(flip))]. 833 T(T(x,y),z) / y = y \ T(x,z). [hyper(119,a,23,a,b,793,a(flip))]. 834 (x \ y) / y = y \ (y / x). [hyper(119,a,400,a(flip),b,793,a(flip))]. 835 x / L(x,y,z) = L(x,y,z) \ x. [hyper(119,a,173,a(flip),b,793,a(flip))]. 836 (x \ y) / x = x \ (y / x). [hyper(119,a,108,a(flip),b,793,a(flip))]. 837 (L(x,y,z) \ x) \ x = L(x,y,z). [hyper(118,a,173,a(flip),b,793,a(flip))]. 838 (x \ (y / x)) \ (x \ y) = x. [hyper(118,a,108,a(flip),b,793,a(flip))]. 839 T(x,y) / y != z | y \ x = z. [para(793(a,2),259(a,1,1)),flip(b)]. 840 K(x,x \ y) = T(y,x) \ y. [para(793(a,2),87(a,1,1)),flip(a)]. 842 T(x,x \ 1) = R(x,y,x). [hyper(306,a,712,a(flip),b,798,a)]. 844 (x * y) * R(x,z,u) = x * (y * R(x,z,u)). [hyper(120,a,807,a(flip),b,20,a(flip)),flip(a)]. 845 R(x,y,R(T(x,z),u,w)) = x. [hyper(41,a,27,a(flip),b,807,a(flip))]. 846 (x \ 1) * R(x,y,z) = x \ R(x,y,z). [para(807(a,1),510(a,1,1)),flip(a)]. 847 R(x,y,L(x,z,u)) = R(x,w,x). [hyper(306,a,795,a,b,808,a),flip(a)]. 848 (x * y) * L(x,z,u) = x * (y * L(x,z,u)). [hyper(120,a,808,a(flip),b,20,a(flip)),flip(a)]. 849 (x \ 1) * L(x,y,z) = x \ L(x,y,z). [para(808(a,1),510(a,1,1)),flip(a)]. 850 (x * y) / x = x * (y / x). [hyper(274,a,813,a)]. 851 (x * (y / x)) \ x = x / y. [hyper(196,a,813,a(flip),b,403,a(flip)),flip(a)]. 852 T(x,y) != z | y * (z / y) = x. [para(813(a,1),50(a,1)),flip(a)]. 853 T(x * y,x) = z * (T(y * x,z) / z). [hyper(306,a,792,a,b,814,a)]. 854 x \ y != z | T(y,x) / x = z. [para(814(a,1),286(a,1,2)),flip(b)]. 855 T(x,y) / y = x / T(y,x). [hyper(306,a,406,a,b,827,a),flip(a)]. 856 (x \ y) * x != z | T(y,x) = z. [para(827(a,1),256(a,1,1)),flip(b)]. 857 x * (T(y,x) / x) != z | y = z. [para(827(a,2),263(a,1,2))]. 863 R(T(x,x * y),z,x) = T(x,y). [hyper(306,a,414,a(flip),b,810,a),flip(a)]. 864 x * y != z * x | (x \ z) * x = y. [para(790(a,1),44(a,1)),flip(a)]. 865 ((x \ y) * x) \ (x \ y) = (x \ y) / y. [hyper(196,a,791,a(flip),b,403,a(flip)),flip(a)]. 866 T(T(x,y),y \ x) = x. [para(793(a,2),791(a,1,1))]. 867 T(T(x,y \ x),y) = x. [hyper(544,a,866,a)]. 869 T(x,L(x,y,z) \ x) = x. [para(173(a,1),866(a,1,1))]. 870 T(x,(y \ x) \ x) = T(x,y). [hyper(41,a,866,a,b,867,a),flip(a)]. 871 T(x,y \ x) = y * (x / y). [hyper(41,a,813,a,b,867,a),flip(a)]. 872 x \ T(y,x \ y) = y / x. [hyper(119,a,867,a(flip),b,793,a(flip)),flip(a)]. 873 T(T(x,y),x / y) = x. [para(78(a,1),867(a,1,1,2))]. 874 T(x,y) = (x / y) * (x / (x / y)). [hyper(41,a,813,a,b,873,a),flip(a)]. 875 T(L(x,y,z) \ x,x) = L(x,y,z) \ x. [hyper(55,a,869,a)]. 876 (x \ (L(x,y,z) \ x)) * x = L(x,y,z) \ x. [hyper(121,a,869,a(flip),b,403,a(flip))]. 877 a(x,y,x) = z \ R(z,u,z). [hyper(306,a,417,a(flip),b,804,a),flip(a)]. 878 R(x,y,x) = x * a(z,u,z). [hyper(121,a,804,a,b,417,a(flip)),flip(a)]. 879 x / (y * x) = x \ (x / y). [hyper(306,a,320,a(flip),b,815,a),flip(a)]. 880 x * (x / (y * x)) = x / y. [hyper(121,a,815,a,b,320,a(flip))]. 882 x * K(y \ x,y) != z | T(x,y) = z. [para(828(a,2),262(a,1,2)),flip(b)]. 883 T(x,x \ (y \ T(y,z))) = T(x,x \ 1). [para(828(a,1),411(a,1,2,2))]. 884 K(x \ y,x) * y != z | T(y,x) = z. [para(828(a,2),427(a,1,1))]. 885 L(x \ 1,x,y) = (x \ y) / y. [hyper(306,a,460,a,b,834,a)]. 886 (x \ y) / y = (y * x) \ y. [hyper(306,a,320,a,b,834,a),flip(a)]. 887 L(x \ 1,x,y) * y = x \ y. [hyper(120,a,460,a,b,834,a)]. 888 L(x \ 1,x,y) \ y = x * y. [hyper(120,a,502,a(flip),b,834,a),flip(a)]. 889 (x * y) * R(T(x,z),u,w) = x * (y * R(T(x,z),u,w)). [hyper(120,a,845,a(flip),b,20,a(flip)),flip(a)]. 890 x / (x / y) = x * (y / x). [hyper(688,a,850,a)]. 891 x \ (x / (y / x)) = x / y. [hyper(392,a,851,a)]. 892 T(x,x / y) = T(x,y \ x). [para(78(a,1),870(a,1,2,1)),flip(a)]. 893 T(x,x / (x / y)) = T(x,y). [para(194(a,1),870(a,1,2)),flip(a)]. 894 T(x,T(y,x)) = T(x,y). [para(403(a,2),870(a,1,2))]. 895 T(x,y * x) = T(x,y). [hyper(514,a,894,a)]. 896 T(x,y) \ (x * y) = T(y,x). [hyper(64,a,226,a,b,894,a)]. 897 (x * y) / T(y,x) = T(x,y). [hyper(196,a,894,a(flip),b,226,a)]. 898 T(x,y) * T(y,x) = x * y. [hyper(121,a,894,a(flip),b,226,a)]. 899 T(x,(x * y) / x) = T(x,y). [para(219(a,1),894(a,1,2)),flip(a)]. 900 T(x,T(y,y * x)) = T(x,y). [para(414(a,2),894(a,1,2))]. 901 T(x,T(y,y * x)) = T(x,L(y,x,y)). [para(755(a,1),894(a,1,2))]. 902 T(x,y / x) = T(x,y). [para(12(a,1),895(a,1,2)),flip(a)]. 903 ((x \ y) \ y) * (x \ y) = x * (y / x). [hyper(64,a,793,a(flip),b,871,a)]. 905 T(x \ T(y,x \ y),y) = x \ y. [para(872(a,2),400(a,1,1))]. 906 R(x,y \ R(y,z,y),u) = x. [para(877(a,1),775(a,1,2))]. 908 (x \ (x / y)) \ x = y * x. [hyper(189,a,879,a)]. 909 R(x \ 1,x,y) = y \ (y / x). [hyper(64,a,476,a,b,879,a)]. 910 (x \ y) \ ((x \ y) / x) = (x \ y) / y. [para(10(a,1),879(a,1,2)),flip(a)]. 911 (x \ 1) \ x = x * x. [hyper(120,a,160,a(flip),b,886,a),flip(a)]. 912 (x \ y) \ x = (y \ x) * x. [hyper(120,a,153,a(flip),b,886,a),flip(a)]. 913 (x \ y) / y != z | y \ (y / x) = z. [para(886(a,2),392(a,1))]. 914 L((x / y) \ 1,x / y,x) = y / x. [hyper(35,a,471,a,b,890,a(flip))]. 915 (x / y) / ((x / y) / x) = (x / y) * (x * (y / x)). [para(890(a,1),890(a,2,2))]. 916 T(x,x \ y) \ y = T(x \ y,x). [para(10(a,1),896(a,1,2))]. 917 x / T(y,z) != T(z,y) | z * y = x. [para(897(a,1),47(a,1)),flip(a)]. 918 (x * (y * z)) \ ((x * T(y,z)) * T(z,y)) = a(x,T(y,z),T(z,y)). [para(898(a,1),14(a,2,1,2)),flip(a)]. 919 (T(x,y) * (T(y,x) * z)) \ ((x * y) * z) = a(T(x,y),T(y,x),z). [para(898(a,1),14(a,2,2,1)),flip(a)]. 920 (x * y) \ (T(x,y) * (T(y,x) * z)) = L(z,T(y,x),T(x,y)). [para(898(a,1),18(a,2,1)),flip(a)]. 921 R(x * y,z \ R(z,u,z),w) != x * v5 | y = v5. [para(906(a,2),44(a,1))]. 922 x \ y != z * y | y \ (y / z) = x. [para(908(a,1),49(a,1)),flip(a)]. 923 L(x,x \ 1,y) \ y = (x \ 1) * y. [para(500(a,2),908(a,1,1))]. 924 L(R(x,y,x),z,x) = x. [hyper(306,a,795,a(flip),b,769,a),flip(a)]. 925 (x \ 1) \ R(x \ 1,y,z) = x * R(x \ 1,y,z). [hyper(118,a,769,a(flip),b,714,a)]. 926 R(x,y,x) = z \ T(x * z,x). [hyper(42,a,589,a,b,924,a),flip(a)]. 927 (x \ 1) \ L(x \ 1,y,z) = x * L(x \ 1,y,z). [hyper(118,a,770,a(flip),b,714,a)]. 928 T(x,y) != z * (T(u * y,z) / z) | y * u = x. [para(814(a,2),818(a,2))]. 929 x / L(x,y,z) != u | L(x,y,z) \ x = u. [para(173(a,1),839(a,1,1))]. 930 R(L(x,y,z),u,L(x,w,v5)) = L(R(x,v6,x),y,z). [para(847(a,1),29(a,2,1))]. 931 x * y != z | T(y * x,y) = z. [para(9(a,1),856(a,1,1))]. 933 T(R(x,y,x),x * z) = T(x,z). [hyper(64,a,27,a(flip),b,863,a)]. 934 L(x \ 1,x,y) \ (x \ y) = y. [hyper(189,a,885,a(flip))]. 935 T(L(x \ 1,x,y),y) = y \ (x \ y). [para(885(a,2),108(a,1,1))]. 937 L(T(x \ 1,y),x,y) = y \ (x \ y). [hyper(118,a,887,a(flip),b,228,a),flip(a)]. 938 R(x \ 1,x,y) = L(x \ 1,x,y). [hyper(306,a,460,a,b,909,a),flip(a)]. 939 x * R(y,z,y) = T(y * x,y). [hyper(121,a,926,a,b,xx)]. 942 T(x,y * z) != T(y,z) | R(y,u,y) = x. [para(933(a,1),50(a,1)),flip(a)]. 945 K(x \ (x * y),x) = K(y,x). [hyper(35,a,826,a(flip),b,812,a)]. 946 T(x * y,x) != z | y * x = z. [para(812(a,1),284(a,1))]. 947 K(x \ (x * y),z) = K(y,z). [para(68(a,1),945(a,1,1)),flip(a)]. 948 K(L(x,y,x),z) = K(x,z). [para(762(a,2),945(a,1,1))]. 949 K(R(x,y,x),z) = K(x,z). [para(799(a,2),948(a,1,1))]. 950 K(T(x,x \ 1),y) = K(x,y). [para(710(a,1),949(a,1,1))]. 951 K((x \ 1) \ 1,y) = K(x,y). [para(802(a,1),949(a,1,1))]. 952 K(x * a(y,z,y),u) = K(x,u). [para(878(a,1),949(a,1,1))]. 954 K((x \ y) \ y,z) = K(T(x,y),z). [para(407(a,1),947(a,1,1,2))]. 955 K(K(x,x \ 1) * y,z) = K(y,z). [para(583(a,1),950(a,1,1))]. 956 T(K(x,y),z) = K((x \ 1) \ 1,y). [hyper(306,a,149,a,b,951,a)]. 958 K(((x \ 1) * y) \ 1,z) = K((y \ 1) * x,z). [para(561(a,1),951(a,1,1,1))]. 960 T(x,y) != z | (y \ x) * y = z. [para(10(a,1),946(a,1,1))]. 962 (x \ T(x * y,z)) * x = T(y * x,z). [hyper(960,a,817,a)]. 963 x * (T(y * x,z) / x) = T(x * y,z). [hyper(852,a,817,a)]. 964 T(x * y,z) / y = y \ T(y * x,z). [hyper(119,a,817,a(flip),b,793,a(flip))]. 967 x \ T(x * (y / x),z) = T(y,z) / x. [para(813(a,1),833(a,1,1,1)),flip(a)]. 968 T(x,y) = (x / y) * (x * (y / x)). [para(890(a,1),874(a,2,2))]. 969 T(x \ T(y,y / x),y) = x \ y. [para(892(a,2),905(a,1,1,2))]. 970 T(x \ y,x) = T(x,y) \ y. [para(404(a,1),916(a,1,1)),flip(a)]. 971 T(x,y) \ y = x \ T(y,x). [hyper(64,a,829,a(flip),b,970,a),flip(a)]. 972 T(x \ y,x) != z \ y | T(x,y) = z. [para(970(a,2),49(a,1))]. 973 x * T(x \ y,y) = T(y,x). [hyper(121,a,410,a,b,971,a(flip))]. 974 x * T(x \ y,y) = (x \ y) * x. [hyper(306,a,793,a(flip),b,973,a),flip(a)]. 975 K(T(x / y,x),z) = K(y \ x,z). [para(78(a,1),954(a,1,1,1)),flip(a)]. 976 (x / y) \ T(x,y) = x * (y / x). [hyper(118,a,968,a,b,xx)]. 977 (x / y) \ T(x,x \ y) = x * (y / x). [hyper(118,a,404,a,b,968,a(flip))]. 978 x \ T(y,y / x) = (y * (x \ y)) / y. [hyper(274,a,969,a),flip(a)]. 979 x * T(x \ y,y) != z | T(y,x) = z. [para(974(a,2),856(a,1))]. 982 T(x * y,x) = (y * x) * a(z,u,z). [hyper(306,a,778,a(flip),b,816,a),flip(a)]. 983 T(x,L(y,x,y)) = T(x,y). [hyper(64,a,900,a(flip),b,901,a),flip(a)]. 984 T(x,R(y,z,y)) = T(x,y). [para(799(a,2),983(a,1,2))]. 985 T(x,T(y / z,y)) = T(x,z \ y). [para(759(a,1),983(a,1,2))]. 986 R(x,y,x) * T(z,x) = z * R(x,y,x). [hyper(121,a,984,a(flip),b,22,a(flip))]. 988 T(x,(y \ 1) \ 1) = T(x,y). [para(802(a,1),984(a,1,2))]. 990 T(T(x,y),K(z,u)) = T(x,(y \ 1) \ 1). [hyper(680,a,988,a)]. 991 x * T(y,(x \ 1) \ 1) = y * x. [hyper(121,a,988,a,b,22,a(flip))]. 993 T(x * y,K(z,u)) = y * T(x,(y \ 1) \ 1). [hyper(680,a,991,a)]. 994 L(R((x / y) \ 1,z,u),x / y,x) = R(y / x,z,u). [para(914(a,1),29(a,1,1)),flip(a)]. 995 R(x,x \ 1,y) = L(x,x \ 1,y). [hyper(40,a,510,a,b,923,a)]. 996 x / ((y \ 1) * x) != z | L(y,y \ 1,x) = z. [para(923(a,1),282(a,1,2)),flip(b)]. 997 L(T(x \ 1,y),x,y) = (x * y) \ y. [hyper(306,a,349,a,b,937,a),flip(a)]. 998 a(x,y,x) = z \ T(u * (z / u),u). [hyper(118,a,982,a,b,150,a(flip)),flip(a)]. 999 K(T(x * y,x),z) = K(y * x,z). [para(982(a,2),952(a,1,1))]. 1001 (x * L(x \ y,z,u)) / x = L(y / x,z,u). [hyper(274,a,237,a)]. 1002 (x * R(x \ y,z,u)) / x = R(y / x,z,u). [hyper(274,a,238,a)]. 1004 R(x \ (y / z),x,z) = T(y / (x * z),x). [para(297(a,1),238(a,1,1)),flip(a)]. 1005 (T(x,x \ y) * z) \ (((x \ y) \ y) * (z * u)) = L(u,z,T(x,x \ y)). [hyper(118,a,305,a(flip),b,93,a)]. 1006 (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) = K(z,(x \ y) \ y). [para(305(a,2),16(a,2,1)),flip(a)]. 1007 (T(x,x \ y) * z) \ (((x \ y) \ y) * (z * u)) = L(u,z,(x \ y) \ y). [para(305(a,2),18(a,2,1)),flip(a)]. 1011 (x * (y * (z * K(u,w)))) \ ((x * y) * (K(u,w) * z)) = a(x,y,z * K(u,w)). [para(360(a,2),14(a,2,2)),flip(a)]. 1012 (R(x / y,z,u) \ x) \ x = R(y \ x,z,u). [para(400(a,1),405(a,2,1))]. 1014 R(T(x,y),z,T(x,u)) = (x \ y) \ y. [para(809(a,1),405(a,1,1,1)),flip(a)]. 1016 K(x,y) / (z \ 1) = (1 / z) \ K(x,y). [para(78(a,1),421(a,1,2,1))]. 1018 K(x,y) != z * ((u \ 1) \ 1) | u \ K(x,y) = z. [para(424(a,1),45(a,1))]. 1019 (x * (T(x,y) \ x)) \ ((T(x,y) \ x) * z) = L(x \ z,x,T(x,y) \ x). [para(428(a,1),95(a,2,1)),flip(a)]. 1021 T(R((x * y) / x,x,y),z) * (x * y) = (x * y) * T(y,z). [para(103(a,2),538(a,1,1,1))]. 1022 T(x / y,z) * y != u | y * T(y \ x,z) = u. [para(541(a,1),256(a,1,1)),flip(b)]. 1023 x * ((y * T(z,x)) / y) = ((y * z) / y) * x. [hyper(121,a,543,a,b,22,a(flip))]. 1024 T(x / (x / y),z) \ x = x / T(y,z). [para(78(a,1),555(a,1,2,1)),flip(a)]. 1025 x * K(y,y \ 1) != z | z * K(u \ 1,u) = x. [para(576(a,1),134(a,1))]. 1026 x * K(y \ 1,y) != z | z * K(u,u \ 1) = x. [para(577(a,1),357(a,1)),flip(a),flip(b)]. 1027 x * K(y,y \ 1) != z | K(u \ 1,u) * z = x. [para(578(a,1),45(a,1)),flip(a)]. 1028 L(x \ 1,x,y * x) = L(x \ 1,x,y). [para(11(a,1),689(a,1,3)),flip(a)]. 1029 (x * T(y,x)) / (z \ x) = x / (z \ (y \ x)). [para(403(a,2),728(a,1,1,2))]. 1030 ((x / y) * z) / (u \ x) = x / (u \ ((x / z) * y)). [para(195(a,1),728(a,1,1))]. 1033 (R(x,y,z) \ x) \ 1 = (x \ 1) * R(x,y,z). [para(780(a,1),561(a,1,1))]. 1036 L(x \ y,x,x \ 1) \ (x \ y) = (((x \ 1) * y) \ 1) * (x \ y). [para(719(a,1),782(a,1,1,1)),flip(a)]. 1037 R(x * y,z,u) / y = y \ R(y * x,z,u). [para(792(a,1),831(a,1,1,1))]. 1038 x \ R(x * (y / x),z,u) = R(y,z,u) / x. [para(813(a,1),831(a,1,1,1)),flip(a)]. 1039 L(x * y,z,u) / y = y \ L(y * x,z,u). [para(792(a,1),832(a,1,1,1))]. 1040 x \ L(x * (y / x),z,u) = L(y,z,u) / x. [para(813(a,1),832(a,1,1,1)),flip(a)]. 1041 (x \ R(x,y,z)) / R(x,y,z) = x \ 1. [hyper(132,a,846,a)]. 1042 (1 / x) * L(x,y,z) = x \ L(x,y,z). [para(325(a,2),849(a,1,1))]. 1043 (x \ L(x,y,z)) \ 1 = (L(x,y,z) \ 1) * x. [para(849(a,1),561(a,1,1))]. 1044 (x \ 1) \ L(x \ 1,y,z) != u | x * L(x \ 1,y,z) = u. [para(849(a,1),673(a,1))]. 1045 ((x \ y) * x) \ (x \ y) = y \ (y / x). [hyper(306,a,834,a(flip),b,865,a),flip(a)]. 1046 L(L(x,y,z) \ x,u,w) * x = x * L(L(x,y,z) \ x,u,w). [para(875(a,1),228(a,1,2,1)),flip(a)]. 1047 T(x,x \ y) * (x \ y) = x * (y / x). [hyper(64,a,305,a,b,903,a)]. 1048 (x \ y) \ ((x \ y) / x) = y \ (y / x). [hyper(306,a,834,a(flip),b,910,a),flip(a)]. 1049 (x \ y) \ (x \ (y / x)) = (x \ y) / y. [para(836(a,1),910(a,1,2))]. 1050 T((x \ y) * x,z) = (x \ T(y,z)) * x. [para(10(a,1),962(a,1,1,2,1)),flip(a)]. 1051 T(x * (y / x),z) = x * (T(y,z) / x). [para(12(a,1),963(a,1,2,1,1)),flip(a)]. 1052 T(x,y) != z * (T(u * z,y) / z) | z * u = x. [para(963(a,2),50(a,1)),flip(a)]. 1054 x * (y * (T(z,x) / y)) = (y * (z / y)) * x. [para(967(a,1),220(a,1,2,2))]. 1055 (x / (y * x)) \ T(x,x \ (y * x)) = x * y. [para(11(a,1),977(a,2,2))]. 1056 R(x,y,x) * T(z,x) = T(x * z,x). [hyper(306,a,939,a(flip),b,986,a),flip(a)]. 1058 T(x * ((x * y) / x),x) = R(x,z,x) * y. [para(219(a,1),1056(a,1,2)),flip(a)]. 1059 T((x * y) / x,(x \ 1) \ 1) = T(y,K(z,u)). [para(219(a,1),990(a,1,1)),flip(a)]. 1060 T(x / (x / y),y \ x) = y. [hyper(374,a,1024,a),flip(a)]. 1061 x / (x / T(y,z)) = T(x / (x / y),z). [hyper(197,a,1024,a)]. 1062 ((x \ y) * x) / (x \ y) = y / (y / x). [hyper(274,a,1060,a)]. 1063 R(x,y,z) * (x \ 1) = R(x,y,z) / x. [hyper(121,a,1041,a(flip),b,834,a(flip))]. 1065 (1 / x) * L(x,y,z) = L(x,y,z) / x. [hyper(306,a,418,a,b,1042,a),flip(a)]. 1066 L(x \ 1,x,x \ y) = y \ (y / x). [hyper(504,a,1045,a)]. 1067 L(x \ 1,x,x \ y) = L(x \ 1,x,y). [hyper(306,a,460,a,b,1066,a),flip(a)]. 1068 (x * y) \ ((x * y) / x) = L(x \ 1,x,y). [para(9(a,1),1066(a,1,3)),flip(a)]. 1069 (x \ y) \ (x \ (y / x)) = y \ (y / x). [para(836(a,1),1048(a,1,2))]. 1070 (x \ y) * L(x \ 1,x,y) = x \ (y / x). [hyper(121,a,885,a,b,1049,a)]. 1071 T((x \ (y / z)) * x,z) = (x \ (z \ y)) * x. [para(108(a,1),1050(a,2,1,2))]. 1073 R(x,y,z) * (x \ 1) = x \ R(x,y,z). [hyper(306,a,417,a(flip),b,1063,a),flip(a)]. 1074 (x \ R(x,y,z)) / (x \ 1) = R(x,y,z). [hyper(119,a,417,a(flip),b,1063,a)]. 1075 L(x \ 1,y,z) / (x \ 1) = x * L(x \ 1,y,z). [hyper(315,a,1065,a),flip(a)]. 1076 (x * L(x \ 1,y,z)) * (x \ 1) = L(x \ 1,y,z). [hyper(120,a,182,a(flip),b,1065,a(flip))]. 1077 L(R(x \ 1,y,z),x,x \ u) = R(L(x \ 1,x,u),y,z). [para(1067(a,1),29(a,1,1)),flip(a)]. 1078 x \ (y \ (z / y)) != z \ (z / y) | y \ z = x. [para(1069(a,1),49(a,1)),flip(a)]. 1079 (R(x,y,z) * ((x \ 1) * u)) \ ((x \ R(x,y,z)) * u) = a(R(x,y,z),x \ 1,u). [para(1073(a,1),14(a,2,2,1)),flip(a)]. 1080 R(x,y,z) * (x \ 1) != u | x \ R(x,y,z) = u. [para(1074(a,1),256(a,1,1)),flip(b)]. 1081 K(a(x,y,z),x * (y * z)) * ((x * y) * z) = a(x,y,z) * (x * (y * z)). [hyper(121,a,81,a(flip),b,371,a)]. 1082 (x * y) * a(x,z,z \ y) = (x * z) * (z \ y). [para(10(a,1),81(a,1,1,2))]. 1083 (x * (y * z)) * a(x,z,T(y,z)) = (x * z) * T(y,z). [para(106(a,1),81(a,1,1,2))]. 1084 (x * (y * z)) \ ((x * y) * z) != u | a(x,y,z) = u. [para(81(a,1),286(a,1,2)),flip(b)]. 1085 (x * (y * z)) \ ((x * (y * z)) / a(x,y,z)) = ((x * y) * z) \ (x * (y * z)). [para(81(a,1),320(a,1,1)),flip(a)]. 1086 ((x * y) * z) * a(R(x,y,z),y,z) = (R(x,y,z) * y) * z. [para(102(a,1),81(a,1,1))]. 1087 x * L(L(y,z \ x,z),u,w) = z * ((z \ x) * L(y,u,w)). [hyper(121,a,30,a,b,94,a)]. 1088 x * ((x \ y) * L(x,z,u)) = y * L(x,z,u). [hyper(121,a,770,a(flip),b,94,a),flip(a)]. 1089 L(T(x,y \ z),y \ z,y) = z \ (y * (x * (y \ z))). [para(106(a,1),94(a,1,2,2)),flip(a)]. 1090 x * L(L(y,z,x / z),u,w) = (x / z) * (z * L(y,u,w)). [hyper(121,a,30,a,b,96,a)]. 1091 x / L(y,z,x / z) = (x / (z * y)) * z. [hyper(196,a,96,a(flip),b,732,a)]. 1092 L(T(x,y),y,z / y) = z \ ((z / y) * (x * y)). [para(106(a,1),96(a,1,2,2)),flip(a)]. 1093 x * L(y,z,x / z) != u | (x / z) * (z * y) = u. [para(96(a,1),262(a,1,2)),flip(b)]. 1094 (T(x,y) * z) / x = T(x,y) * (z / x). [hyper(196,a,767,a(flip),b,97,a(flip))]. 1095 L(x \ 1,x,T(x,y) * (z / x)) = (T(x,y) * z) \ ((T(x,y) * z) / x). [para(1094(a,1),467(a,1,3))]. 1096 x * ((x \ y) * K(z,z \ 1)) = y * K(z,z \ 1). [hyper(120,a,458,a(flip),b,100,a(flip))]. 1097 L(R(x,y,y \ z),u,w) * z = (L(x,u,w) * y) * (y \ z). [hyper(120,a,29,a(flip),b,101,a)]. 1098 x / (y * ((z * y) \ x)) = R(z,y,y \ x). [hyper(64,a,730,a(flip),b,101,a)]. 1100 a(x,x \ 1,(x \ 1) \ y) = (x * y) \ ((x \ 1) \ y). [para(10(a,1),211(a,1,1,2)),flip(a)]. 1101 (x * ((y * x) \ 1)) \ (y \ 1) = a(x,x \ 1,y \ 1). [para(515(a,1),211(a,1,1,2))]. 1102 L(x,y \ 1,y) \ x = a(y,y \ 1,x). [para(264(a,1),211(a,1,1))]. 1103 L(x,y \ 1,y) * a(y,y \ 1,x) = x. [hyper(135,a,1102,a)]. 1104 x \ R(x,y,y \ 1) = a(x,y,y \ 1). [para(266(a,1),213(a,1,2))]. 1105 a(x,y \ 1,(y \ 1) \ 1) = x \ R(x,y \ 1,y). [para(326(a,1),1104(a,1,2,3)),flip(a)]. 1106 L(x,y,y \ 1) \ x = a(1 / y,y,x). [para(641(a,1),215(a,1,1))]. 1107 L(x,y,y \ 1) \ x = a(y \ 1,y,x). [para(325(a,1),1106(a,2,1))]. 1108 x \ ((x * (y \ 1)) * y) = a(x,1 / y,y). [para(325(a,1),217(a,1,2,1,2))]. 1109 x \ R(x,y \ 1,y) = a(x,1 / y,y). [para(643(a,1),217(a,1,2))]. 1110 x \ R(x,y \ 1,y) = a(x,y \ 1,y). [para(325(a,1),1109(a,2,2))]. 1111 a(x,1 / y,y) = a(x,y \ 1,y). [hyper(64,a,1109,a(flip),b,1110,a)]. 1113 R(L(x,y,z) \ x,L(x,y,z),x \ u) = u / (L(x,y,z) * (x \ u)). [para(835(a,1),378(a,1,1))]. 1114 ((x * y) * (y \ z)) / z != u | R(x,y,y \ z) = u. [para(380(a,1),259(a,1,1)),flip(b)]. 1115 (x * y) * T((x * y) \ x,z) = x * (y * T(y \ 1,z)). [hyper(121,a,468,a,b,18,a(flip))]. 1116 T((x * y) \ x,y) = L(y \ 1,y,x). [para(330(a,1),468(a,2,1))]. 1117 T(x \ (x / y),y) = L(y \ 1,y,x). [para(320(a,1),1116(a,1,1))]. 1118 R(T(1 / x,x * y),x,y) = (x * y) \ y. [hyper(489,a,475,a),flip(a)]. 1119 x * T(x \ (y * x),z) != u | T(y,z) * x = u. [para(22(a,1),483(a,1,2,1))]. 1121 x \ (L(y,x \ z,x) * z) = (x \ z) * T(y,z). [hyper(118,a,228,a(flip),b,529,a(flip))]. 1122 x * ((x \ y) * z) != y * u | L(z,x \ y,x) = u. [para(529(a,1),44(a,1))]. 1123 x \ (y * ((y \ x) * z)) != u | L(z,y \ x,y) = u. [para(529(a,1),286(a,1,2)),flip(b)]. 1124 L((x * y) \ T(z,K(y,x)),x * y,K(y,x)) = (y * x) \ (z * K(y,x)). [para(354(a,1),533(a,2,1))]. 1126 (x \ y) \ 1 != z | (y \ 1) / (x \ 1) = z. [para(326(a,1),585(a,1,1,2))]. 1127 (x * y) \ (x * (z * y)) != u | L(T(z,y),y,x) = u. [para(587(a,1),271(a,1,1)),flip(b)]. 1128 (x / y) \ (L(z,y,x / y) * x) = y * T(z,x). [hyper(118,a,228,a(flip),b,588,a(flip))]. 1129 L(T((x \ y) \ z,u),x \ y,x) = T(y \ (x * z),u). [para(605(a,1),25(a,2,1))]. 1130 L(R((x \ y) \ z,u,w),x \ y,x) = R(y \ (x * z),u,w). [para(605(a,1),29(a,1,1)),flip(a)]. 1131 L(L((x \ y) \ z,u,w),x \ y,x) = L(y \ (x * z),u,w). [para(605(a,1),30(a,1,1)),flip(a)]. 1132 L(x \ y,x,z / x) * z = T((z / x) * y,z). [hyper(120,a,606,a,b,827,a)]. 1133 L(x \ (y \ z),x,z / x) = z \ (z * ((y * x) \ z)). [para(33(a,1),606(a,2,2))]. 1134 x * L(y \ z,y,x / z) = (x / y) * z. [hyper(121,a,607,a,b,732,a(flip))]. 1135 R(T(x / (y / z),u),y / z,z) = T((x * z) / y,u). [para(627(a,1),27(a,2,1))]. 1136 R(R(x / (y / z),u,w),y / z,z) = R((x * z) / y,u,w). [para(627(a,1),31(a,1,1)),flip(a)]. 1137 (x * y) * T(T(x,x * y),z) = x * (y * T(T(x,y),z)). [hyper(121,a,756,a(flip),b,18,a(flip))]. 1138 T(x / (y * z),y) * (y * z) = ((y \ (x / z)) * y) * z. [hyper(120,a,1004,a(flip),b,20,a(flip))]. 1139 a(x,y,x) = (z * u) \ (R(z,w,z) * u). [para(1058(a,1),998(a,2,2))]. 1140 R(x,y,x) * (x \ z) = z * a(u,w,u). [hyper(121,a,1139,a,b,153,a(flip)),flip(a)]. 1142 R(x,y,x) \ (a(z,u,z) * w) = x \ w. [hyper(118,a,778,a,b,1140,a)]. 1143 (x * y) \ ((x * y) / x) = y \ (y / x). [hyper(306,a,460,a(flip),b,1068,a),flip(a)]. 1145 (x * y) \ (x * (y / x)) = L(x \ 1,x,y). [para(850(a,1),1068(a,1,2))]. 1146 ((x \ y) * x) \ (y / (y / x)) = L((x \ y) \ 1,x \ y,x). [para(1062(a,1),1068(a,1,2))]. 1147 R(x,y,y \ z) \ z = y * ((x * y) \ z). [hyper(189,a,1098,a)]. 1148 x / (y * (x \ (x / y))) = R(x,y,y \ x). [para(320(a,1),1098(a,1,2,2))]. 1151 R(T(T(x,y),z),u,w) = T(T(R(x,u,w),z),y). [hyper(306,a,27,a,b,110,a)]. 1152 T(R(x,y,z),u) * (y * z) != w | (T(x,u) * y) * z = w. [para(27(a,1),280(a,1,1))]. 1153 (x * y) * R(L(z,y,x),u,w) != v5 | x * (y * R(z,u,w)) = v5. [para(29(a,2),285(a,1,2))]. 1154 L(x,y,z) * (z * y) != u | z * (y * T(x,z * y)) = u. [para(228(a,1),285(a,1))]. 1155 (R(x,y,z) * u) * x != w | R(x,y,z) * (u * x) = w. [para(765(a,1),285(a,1,2))]. 1156 (L(x,y,z) * u) * x != w | L(x,y,z) * (u * x) = w. [para(766(a,1),285(a,1,2))]. 1158 x * ((K(y,z) * (u \ x)) \ x) = (x / K(y,z)) * T(u,x). [para(244(a,2),408(a,1,2,1))]. 1159 T((x \ y) \ 1,x \ 1) = (y / x) \ 1. [hyper(306,a,584,a(flip),b,567,a),flip(a)]. 1160 T(x,y \ 1) != (z / y) \ 1 | (y \ z) \ 1 = x. [para(1159(a,1),50(a,1)),flip(a)]. 1163 (x * (y * z)) \ (x * (y * (z * u))) != w | L(L(u,z,y),y * z,x) = w. [para(93(a,1),597(a,1,2,2))]. 1165 (x * (y * (z * u))) \ (x * ((y * z) * u)) != w | L(a(y,z,u),y * (z * u),x) = w. [para(81(a,1),597(a,1,2,2))]. 1166 L(x * y,x \ 1,x) != z | x * L(y,x,x \ 1) = z. [para(717(a,1),613(a,1,1))]. 1167 (x * K(y,z)) * u != w * (u * K(y,z)) | R(x,K(y,z),u) = w. [para(244(a,1),620(a,2,2))]. 1169 ((x * K(y,z)) * u) / (x * u) != w | R(K(y,z),x,u) = w. [para(244(a,1),621(a,1,1,1))]. 1171 (x \ 1) * T(y,x \ y) != z | L(y / x,x,x \ 1) = z. [para(871(a,2),724(a,1,2))]. 1172 (x \ y) * (y \ (x * (z * (x \ y)))) = L(z,x \ y,x) * (x \ y). [para(605(a,1),736(a,1,2))]. 1173 T(x,L(K(y,z),u,w)) = x. [hyper(232,a,738,a)]. 1175 x * L(K(y,z),u,w) != v5 | L(K(y,z),u,w) * x = v5. [para(1173(a,1),818(a,1)),flip(a)]. 1176 L((x * y) / x,z,u) = (x * L(y,z,u)) / x. [hyper(132,a,739,a),flip(a)]. 1177 L((x * (y \ 1)) / x,y,z) = (x * ((z * y) \ z)) / x. [hyper(119,a,464,a(flip),b,739,a),flip(a)]. 1178 L(((x * y) * z) / (x * y),y,x) = (x * (y * z)) / (x * y). [hyper(119,a,93,a(flip),b,739,a),flip(a)]. 1179 T(x,L(x \ 1,y,z)) = x. [hyper(231,a,741,a)]. 1180 T(x,x * L(x \ 1,y,z)) = x. [hyper(513,a,1179,a)]. 1181 T(x,y \ (y / x)) = x. [para(460(a,1),1179(a,1,2))]. 1182 (x \ (x / y)) * y = y * (x \ (x / y)). [hyper(121,a,1181,a(flip),b,22,a(flip))]. 1184 (x * y) * R((x * y) \ z,x,y) = ((z / (x * y)) * x) * y. [hyper(280,a,747,a),flip(a)]. 1185 x * R(x \ y,z,z \ x) = ((y / x) * z) * (z \ x). [hyper(64,a,380,a(flip),b,747,a),flip(a)]. 1186 K(x,R(K(y,z),u,w)) = 1. [hyper(117,a,748,a,b,85,a),flip(a)]. 1187 K(x,R(T(K(y,z),u),w,v5)) = 1. [para(149(a,2),1186(a,1,2,1))]. 1188 ((((x * y) * z) / (x * y)) * x) * y = (x * y) * R(z,x,y). [hyper(280,a,749,a)]. 1189 R((x * y) / x,z,u) = (x * R(y,z,u)) / x. [hyper(132,a,749,a),flip(a)]. 1190 (x * R(x \ 1,y,z)) * x = x * (x * R(x \ 1,y,z)). [para(751(a,1),764(a,2,2))]. 1191 (L(x,y,z) * (x \ u)) * x = L(x,y,z) * T(u,x). [para(793(a,2),781(a,2,2))]. 1192 (x * (a(y,z,y) * (u * w))) \ ((x * (a(y,z,y) * u)) * w) = a(x,a(y,z,y) * u,w). [para(784(a,1),14(a,2,1,2)),flip(a)]. 1193 (a(x,y,x) * (z * (u * w))) \ (((a(x,y,x) * z) * u) * w) = a(a(x,y,x) * z,u,w). [para(784(a,1),14(a,2,1)),flip(a)]. 1194 (x * (a(y,z,y) * (u * w))) \ (((x * a(y,z,y)) * u) * w) = a(x * a(y,z,y),u,w). [para(786(a,1),14(a,2,1)),flip(a)]. 1195 (x \ L(x * y,z,u)) * x = L(y * x,z,u). [hyper(864,a,824,a(flip))]. 1196 x * (T(y,x) * R(x,z,u)) = (y * x) * R(x,z,u). [para(106(a,1),844(a,1,1)),flip(a)]. 1197 T(L(x,y,z) * (x * u),L(x,y,z)) = x * (u * L(x,y,z)). [hyper(931,a,848,a)]. 1198 x \ (L(x,y,z) \ x) = L(x,y,z) \ 1. [hyper(36,a,782,a,b,876,a),flip(a)]. 1199 x * (L(x,y,z) \ 1) = L(x,y,z) \ x. [hyper(135,a,1198,a)]. 1201 (x \ y) \ (((x \ 1) * y) \ (x \ y)) = L(x \ y,x,x \ 1) \ 1. [para(719(a,1),1198(a,1,2,1))]. 1202 L(x,y,y \ 1) \ 1 = x \ a(y \ 1,y,x). [para(1107(a,1),1198(a,1,2)),flip(a)]. 1203 T(L(x,y,z) \ 1,x) = L(x,y,z) \ 1. [hyper(230,a,782,a,b,1199,a)]. 1204 K(((((x \ 1) \ y) \ 1) * x) \ 1,z) = K(y,z). [para(10(a,1),958(a,2,1))]. 1205 T(x,K(y,z)) = u * T(x / u,(u \ 1) \ 1). [para(12(a,1),993(a,1,1))]. 1206 R(x,x \ 1,y) != z | L(x,x \ 1,y) = z. [para(212(a,2),996(a,1))]. 1207 L(x / y,z,u) * y != w | y * L(y \ x,z,u) = w. [para(1001(a,1),256(a,1,1)),flip(b)]. 1208 L((x \ y) / z,z,x) = (z * ((x * z) \ y)) / z. [para(293(a,1),1001(a,1,1,2)),flip(a)]. 1209 R(x / y,z,u) * y != w | y * R(y \ x,z,u) = w. [para(1002(a,1),256(a,1,1)),flip(b)]. 1211 x / R(y \ x,z,u) = R(x / y,z,u) \ x. [hyper(197,a,1012,a)]. 1213 ((x * (y / z)) / x) * z = z * ((x * (z \ y)) / x). [para(108(a,1),1023(a,1,2,1,2)),flip(a)]. 1214 (x * y) / (z \ y) = y / (z \ (x \ y)). [para(106(a,1),1029(a,1,1))]. 1215 (R(x,y,z) \ x) \ 1 = x \ R(x,y,z). [hyper(306,a,846,a(flip),b,1033,a),flip(a)]. 1216 (R(x \ 1,y,z) \ (x \ 1)) \ 1 = x * R(x \ 1,y,z). [hyper(673,a,1033,a(flip)),flip(a)]. 1218 (x \ R(x * y,z,u)) * x = R(y * x,z,u). [hyper(134,a,1037,a)]. 1219 R(x * (y / x),z,u) = x * (R(y,z,u) / x). [hyper(135,a,1038,a),flip(a)]. 1220 (x * ((x \ 1) * y)) * (x \ 1) = L(y * (x \ 1),x,x \ 1). [hyper(120,a,717,a(flip),b,1039,a)]. 1221 (x \ 1) * (x * (y / x)) = L(y,x \ 1,x) / x. [hyper(640,a,1040,a)]. 1222 L(x * (y / x),z,u) = x * (L(y,z,u) / x). [hyper(135,a,1040,a),flip(a)]. 1223 (x \ L(x,y,z)) \ 1 = L(x,y,z) \ x. [hyper(306,a,782,a(flip),b,1043,a),flip(a)]. 1224 (L(x,y,z) \ 1) / (x \ 1) = L(x,y,z) \ x. [hyper(1126,a,1223,a)]. 1225 (L(x,y,z) \ x) \ 1 = x \ L(x,y,z). [hyper(331,a,1223,a)]. 1226 ((x \ L(x,y,z)) * u) \ 1 = (u \ 1) * (L(x,y,z) \ x). [para(1223(a,1),515(a,1,2)),flip(a)]. 1228 a(x \ 1,x,y) \ 1 = y \ L(y,x,x \ 1). [para(1107(a,1),1225(a,1,1))]. 1229 (x * (((y * z) / y) / x)) * y = y * (x * (z / x)). [para(219(a,1),1054(a,1,2,2,1)),flip(a)]. 1230 (x / (y * x)) \ T(x,T(y,x)) = x * y. [para(22(a,2),1055(a,1,2,2))]. 1231 (x / (y * x)) \ T(x,y) = x * y. [para(894(a,1),1230(a,1,2))]. 1232 (x * ((y \ (x \ z)) * y)) / x = (y \ (z / x)) * y. [hyper(274,a,1071,a)]. 1233 T(T(R(x / y,z,u),w),y) = R(T(y \ x,w),z,u). [para(108(a,1),1151(a,1,1,1)),flip(a)]. 1234 (x * y) * ((z * L(u,y,x)) / z) = x * (y * ((z * u) / z)). [hyper(121,a,1176,a(flip),b,18,a(flip))]. 1235 L((x * y) / x,z,u) * x != w | x * L(y,z,u) = w. [para(1176(a,2),256(a,1,1)),flip(b)]. 1236 L((x * ((y \ z) \ u)) / x,y \ z,y) = (x * (z \ (y * u))) / x. [para(605(a,1),1176(a,2,1,2))]. 1237 ((x * R(y,z,u)) / x) * (z * u) != w | (((x * y) / x) * z) * u = w. [para(1189(a,1),280(a,1,1))]. 1238 L((x \ y) * x,z,u) = (x \ L(y,z,u)) * x. [para(10(a,1),1195(a,1,1,2,1)),flip(a)]. 1239 K((((x \ y) \ 1) * (x \ 1)) \ 1,z) = K(y,z). [para(326(a,1),1204(a,1,1,1,1,1,1))]. 1240 T(x * y,K(z,u)) = x * T(y,K(w,v5)). [para(1059(a,1),1205(a,2,2))]. 1241 T(x,K(y,z)) = u \ T(u * x,K(w,v5)). [hyper(118,a,1240,a,b,xx),flip(a)]. 1242 T(x / y,K(z,u)) = T(x,K(w,v5)) / y. [hyper(35,a,1051,a(flip),b,1240,a(flip)),flip(a)]. 1243 x \ T(x * y,K(z,u)) = y * K(w,K(v5,v6)). [hyper(683,a,1241,a),flip(a)]. 1245 T(x,K(y,z)) / u = K(w,K(v5,v6)) * (x / u). [hyper(679,a,1242,a),flip(a)]. 1246 R(x / (x / y),z,u) \ x = x / R(y,z,u). [para(78(a,1),1211(a,1,2,1)),flip(a)]. 1247 R((x \ y) * x,z,u) = (x \ R(y,z,u)) * x. [para(10(a,1),1218(a,1,1,2,1)),flip(a)]. 1248 R(x * (y / x),z,u) \ x = x / R(y,z,u). [para(1219(a,2),851(a,1,1))]. 1249 (L(x,y,z) \ x) \ (L(x,y,z) \ 1) = x \ 1. [hyper(189,a,1224,a)]. 1250 L((x \ ((y \ 1) \ z)) * x,y \ 1,y) = (x \ (y * z)) * x. [para(604(a,1),1238(a,2,1,2))]. 1251 (x / y) \ T(x,K(z,u)) = y * K(w,K(v5,v6)). [para(12(a,1),1243(a,1,2,1))]. 1252 T(x,K(y,z)) / (u \ x) = K(w,K(v5,v6)) * u. [para(75(a,1),1245(a,2,2))]. 1253 R(T(x / (x / y),z),u,w) \ x = x / R(T(y,z),u,w). [para(1061(a,1),1246(a,1,1,1))]. 1254 R((x \ (y / (1 / z))) * x,z \ 1,z) = (x \ (y * z)) * x. [para(707(a,1),1247(a,2,1,2))]. 1255 (T(x,K(y,z)) / u) \ x = u * K(w,K(v5,v6)). [para(246(a,1),1251(a,1,2))]. 1256 (K(x,K(y,z)) * u) \ w = (u \ w) * K(v5,K(v6,v7)). [para(1252(a,1),1255(a,1,1))]. 1257 (x * y) * L(L(z,T(x,y),y),u,w) = y * (T(x,y) * L(z,u,w)). [hyper(121,a,30,a,b,223,a)]. 1258 T(x,R(x,y,z) \ u) = T(x,u). [hyper(43,a,27,a,b,413,a),flip(a)]. 1260 T(x,(x \ 1) * y) = T(x,y). [para(510(a,1),1258(a,1,2))]. 1261 T(x,(x \ y) * z) = T(x,y * z). [para(618(a,1),1258(a,1,2))]. 1262 T(x,(x \ 1) * y) = T(x,x \ y). [hyper(306,a,404,a,b,1260,a),flip(a)]. 1263 T(x,(x \ 1) * (y * x)) = T(x,y). [hyper(306,a,895,a(flip),b,1260,a),flip(a)]. 1264 T(x \ 1,x * y) = T(x \ 1,y). [para(326(a,1),1260(a,1,2,1))]. 1265 T(x,x \ ((x \ 1) \ y)) = T(x,y). [para(10(a,1),1262(a,1,2)),flip(a)]. 1266 T(x,T(x \ 1,y)) = T(x,x \ 1). [hyper(64,a,883,a(flip),b,1265,a),flip(a)]. 1267 T(x,T(1 / x,y)) = T(x,x \ 1). [para(325(a,2),1266(a,1,2,1))]. 1268 T(x,T(1 / x,y)) = R(x,z,x). [hyper(306,a,842,a(flip),b,1267,a),flip(a)]. 1269 T(x \ 1,T(x,y)) = R(x \ 1,z,x \ 1). [para(75(a,1),1268(a,1,2,1))]. 1270 T(x \ 1,T(x,y)) = T(x \ 1,x). [hyper(306,a,801,a(flip),b,1269,a),flip(a)]. 1271 T(1 / x,T(x,y)) = x \ 1. [hyper(542,a,1270,a)]. 1272 T(1 / T(x,y),x) = T(x,y) \ 1. [para(866(a,1),1271(a,1,2))]. 1273 (x * y) * R((y * T(x,y)) \ y,z,u) = y * (T(x,y) * R(T(x,y) \ 1,z,u)). [hyper(121,a,469,a,b,223,a)]. 1274 (x * y) * R((x * y) \ x,z,u) = x * (y * R(y \ 1,z,u)). [hyper(121,a,469,a,b,18,a(flip))]. 1275 (x * y) * R((x * y) \ x,z,u) != w | x * (y * R(y \ 1,z,u)) = w. [para(469(a,2),285(a,1,2))]. 1276 L(L(x \ 1,y * x,z),x,y) = (z * (y * x)) \ (z * y). [hyper(306,a,95,a(flip),b,470,a),flip(a)]. 1277 (x * y) * L((x * y) \ x,z,u) = x * (y * L(y \ 1,z,u)). [hyper(121,a,470,a(flip),b,18,a(flip))]. 1280 (x * y) * R(x \ (x / y),z,u) = x * (y * R(y \ 1,z,u)). [hyper(121,a,499,a,b,18,a(flip))]. 1281 (x * y) * T((x * y) \ (x * z),u) = x * (y * T(y \ z,u)). [para(95(a,1),530(a,1,2,1))]. 1282 (x * y) * T((x * y) \ z,u) = x * (y * T(y \ (x \ z),u)). [para(293(a,1),530(a,1,2,1))]. 1284 ((x / y) * (y * x)) / ((x / y) * y) = L((x / y) * y,y,x / y). [para(12(a,1),591(a,1,1,2,2))]. 1285 x * (T(y,x) * T(z,y * x)) = L(z,T(y,x),x) * (y * x). [hyper(484,a,596,a),flip(a)]. 1286 L(T(L(x,y,z) \ u,w),L(x,y,z),z * y) = T((z * (y * x)) \ ((z * y) * u),w). [para(93(a,1),609(a,1,1,1)),flip(a)]. 1287 (x * y) * T((x * y) \ (x * z),u) != w | x * (y * T(y \ z,u)) = w. [para(609(a,2),285(a,1,2))]. 1288 L(R(T(x,y) \ z,u,w),T(x,y),y) = R((x * y) \ (y * z),u,w). [para(610(a,1),29(a,1,1)),flip(a)]. 1289 ((x * R(y / z,z,u)) / x) * (z * u) = (z * u) * ((x * ((z * u) \ (y * u))) / x). [para(629(a,1),1023(a,1,2,1,2)),flip(a)]. 1290 R(T(T(x / y,z),y * u),y,u) = T((y * u) \ (x * u),z). [para(629(a,1),1151(a,2,1))]. 1291 (x \ 1) * T((x \ 1) \ y,z) = x \ T(x * y,z). [para(604(a,1),638(a,1,2,1)),flip(a)]. 1292 T((x \ y) / y,z) * y = (T(1 / x,z) * x) * (x \ y). [hyper(120,a,690,a,b,101,a)]. 1293 L(x,x \ 1,y \ 1) = ((x \ y) / y) \ 1. [hyper(306,a,584,a(flip),b,698,a),flip(a)]. 1294 L(x,x \ 1,y \ 1) = (y \ (y / x)) \ 1. [para(834(a,1),1293(a,2,1))]. 1295 L(x,x \ 1,y \ 1) = L(x \ 1,x,y) \ 1. [para(885(a,2),1293(a,2,1))]. 1296 L(x / y,(x / y) \ 1,y \ 1) = (y / x) \ 1. [para(891(a,1),1294(a,2,1))]. 1297 ((x * y) \ ((x * y) / x)) \ 1 = L(x,x \ 1,y \ 1). [para(1143(a,2),1294(a,2,1)),flip(a)]. 1298 L(x,x \ 1,y \ 1) \ 1 = L(x \ 1,x,y). [hyper(331,a,1295,a(flip))]. 1299 L(x \ y,(x \ y) \ 1,x \ 1) = (y \ x) \ 1. [para(462(a,1),1295(a,2,1))]. 1300 L(x \ 1,x,y \ 1) = L(x,x \ 1,y) \ 1. [para(326(a,1),1298(a,1,1,3)),flip(a)]. 1301 (1 / x) \ T((1 / x) * y,z) = x * T(x \ y,z). [hyper(118,a,703,a(flip),b,265,a)]. 1302 x * (((x \ 1) \ y) * (x \ 1)) = T(x * y,x \ 1). [hyper(64,a,639,a(flip),b,705,a)]. 1303 T(x / (1 / y),z) * (1 / y) = T(x * y,z) / y. [hyper(119,a,706,a(flip),b,267,a),flip(a)]. 1304 (x / y) * (x \ (x / z)) != u | x * (((x * z) * y) \ x) = u. [para(320(a,1),729(a,1,2))]. 1305 ((x * (y \ x)) * z) / x != u | x / ((x / z) * (x \ y)) = u. [para(322(a,1),734(a,1,1,1))]. 1306 L(K(x,y),z,u) * (u * z) = u * (K(x,y) * z). [para(362(a,1),735(a,1,2)),flip(a)]. 1307 x * (y * T(L(x,z,u),x * y)) = L(x,z,u) * (x * y). [para(770(a,1),735(a,2,1))]. 1308 (x * y) * z != (u * x) * y | R(T(u,x * y),x,y) = z. [para(743(a,1),44(a,1)),flip(a)]. 1309 T(x,y) * (x \ z) != u | (x \ z) * T((x \ z) \ z,y) = u. [para(75(a,1),1022(a,1,1,1))]. 1311 T(L(x,y,z / y),y) = z \ ((z / y) * (x * y)). [hyper(64,a,25,a(flip),b,1092,a)]. 1312 (x \ y) * T((x \ y) \ 1,y) = x \ ((y \ x) * y). [para(462(a,1),1121(a,1,2,1)),flip(a)]. 1313 (x / y) \ ((x \ (x / y)) * x) = y * T(y \ 1,x). [para(467(a,1),1128(a,1,2,1))]. 1314 (x * y) * L((x \ y) / y,y,x) = T(y,y / (x * y)). [hyper(121,a,1208,a,b,978,a)]. 1315 (x * (K(y,z) * u)) / (x * u) = L(K(y,z),u,x). [hyper(132,a,1306,a)]. 1317 ((x * y) * z) * R(T(x,y * z),y,z) = (x * y) * (y \ ((x * y) * z)). [para(745(a,1),114(a,1,2))]. 1318 L(K(x,x \ 1),y,z) = K(x,x \ 1). [hyper(595,a,522,a)]. 1319 (x * (y \ 1)) * K(z,z \ 1) = x * (1 / y). [para(548(a,1),522(a,2,2))]. 1320 (x * y) * K(z,z \ 1) = x * ((y \ 1) \ 1). [para(565(a,1),522(a,2,2))]. 1321 (x * (1 / (1 / y))) * K(z,z \ 1) = x * y. [para(566(a,1),522(a,2,2))]. 1322 L(K(x,x \ 1),y,z) = K(u \ 1,u). [hyper(306,a,342,a,b,1318,a),flip(a)]. 1324 L(K(x \ 1,x),y,z) = K(u \ 1,u). [para(326(a,1),1322(a,1,1,2))]. 1326 K(x \ 1,x) * (y * z) = y * (K(u \ 1,u) * z). [hyper(120,a,1324,a(flip),b,1315,a)]. 1327 (x * (1 / y)) * K(z \ 1,z) = x * (y \ 1). [hyper(1025,a,1319,a)]. 1328 K(x,x \ 1) * (y * z) = y * ((z \ 1) \ 1). [hyper(358,a,1320,a)]. 1331 K(x \ 1,x) * (y * z) = y * (1 / (1 / z)). [hyper(1027,a,1321,a)]. 1333 K(x \ 1,x) * (y * z) = y * (z * K(u \ 1,u)). [para(344(a,2),1331(a,2,2))]. 1334 x \ (1 / (1 / (x * y))) = y * K(z \ 1,z). [hyper(118,a,344,a(flip),b,523,a(flip))]. 1335 (x \ y) * K(z \ 1,z) = x \ (1 / (1 / y)). [para(10(a,1),1334(a,1,2,2,2)),flip(a)]. 1336 (x \ (1 / (1 / y))) * K(z,z \ 1) = x \ y. [hyper(1026,a,1335,a)]. 1337 K(x \ 1,x) * (y \ z) = y \ (1 / (1 / z)). [hyper(554,a,1335,a)]. 1338 (x \ y) * K(z,z \ 1) = x \ ((y \ 1) \ 1). [para(190(a,1),1336(a,1,1,2))]. 1339 x \ (K(y \ 1,y) * z) = K(u \ 1,u) * (x \ z). [para(549(a,2),1337(a,2,2)),flip(a)]. 1340 (x \ 1) * (K(y,y \ 1) * z) = (1 / x) * z. [para(548(a,1),524(a,1,1)),flip(a)]. 1341 x * (K(y,y \ 1) * z) = ((x \ 1) \ 1) * z. [para(565(a,1),524(a,1,1)),flip(a)]. 1342 (x * K(y,y \ 1)) * z = x * ((z \ 1) \ 1). [para(575(a,1),524(a,2,2))]. 1343 (x \ 1) * (y * K(z,z \ 1)) = (1 / x) * y. [hyper(670,a,1340,a)]. 1344 (x \ 1) * ((y \ 1) \ 1) = (1 / x) * y. [para(575(a,1),1340(a,1,2))]. 1345 K(x,x \ 1) * ((y \ 1) * z) = (1 / y) * z. [hyper(64,a,1328,a,b,1344,a)]. 1346 ((x \ 1) * y) * K(z,z \ 1) = (1 / x) * y. [hyper(64,a,1320,a,b,1344,a)]. 1347 K(x,x \ 1) * (((y \ 1) \ 1) \ z) = y \ z. [hyper(118,a,10,a(flip),b,1341,a),flip(a)]. 1349 (K(x,x \ 1) * y) * z = y * ((z \ 1) \ 1). [hyper(651,a,1342,a)]. 1350 (x \ K(y,z)) * K(u,u \ 1) = K(y,z) / x. [hyper(119,a,424,a(flip),b,1342,a),flip(a)]. 1351 ((x \ 1) * y) * ((z \ 1) \ 1) = ((1 / x) * y) * z. [para(1346(a,1),1342(a,1,1)),flip(a)]. 1352 K(((x \ 1) \ 1) \ y,z) = K(x \ y,z). [para(1347(a,1),955(a,1,1)),flip(a)]. 1354 K((K(x,x \ 1) * y) \ z,u) = K(y \ z,u). [para(575(a,2),1352(a,1,1,1))]. 1355 (((x \ 1) \ 1) \ y) * ((z \ 1) \ 1) = (x \ y) * z. [para(1347(a,1),1349(a,1,1)),flip(a)]. 1356 K(((1 / x) * y) \ z,u) = K(((x \ 1) * y) \ z,u). [para(1345(a,1),1354(a,1,1,1))]. 1357 (x \ (x / (y \ 1))) \ 1 = (x \ 1) \ ((x \ 1) / y). [hyper(913,a,580,a),flip(a)]. 1358 (x \ 1) \ ((y \ 1) \ ((z \ 1) * u)) = ((((u \ 1) * z) / y) / x) \ 1. [para(586(a,1),584(a,1,2))]. 1359 x / (K(y,K(z,u)) * w) = K(y,K(z,u)) \ (x / w). [hyper(366,a,646,a),flip(a)]. 1360 (x / y) / (x / (x * y)) = (x / y) * (x * (y / x)). [para(394(a,1),915(a,1,2))]. 1361 ((x / y) \ 1) \ L((x / y) \ 1,x / y,x) = (x / y) * (y / x). [para(914(a,1),927(a,2,2))]. 1362 (x * L(x \ 1,y,z)) \ 1 = x \ (L(x \ 1,y,z) \ 1). [para(1075(a,1),579(a,1,1))]. 1363 (x * ((x \ y) * z)) \ (y * z) != u | a(x,x \ y,z) = u. [para(10(a,1),1084(a,1,2,1))]. 1364 x \ ((x * y) * (y \ 1)) != z | a(x,y,y \ 1) = z. [para(70(a,1),1084(a,1,1))]. 1365 (x * (T(y,x) * z)) \ ((y * x) * z) != u | a(x,T(y,x),z) = u. [para(106(a,1),1084(a,1,2,1))]. 1366 ((x \ 1) * (R(x,y,z) * u)) \ ((x \ R(x,y,z)) * u) != w | a(x \ 1,R(x,y,z),u) = w. [para(846(a,1),1084(a,1,2,1))]. 1368 (x * ((L(x,y,z) \ 1) * u)) \ ((L(x,y,z) \ x) * u) != w | a(x,L(x,y,z) \ 1,u) = w. [para(1199(a,1),1084(a,1,2,1))]. 1369 K(x,y) * K(z,z \ 1) = u * (K(x,y) / u). [para(1350(a,1),1096(a,1,2)),flip(a)]. 1370 (x \ 1) * (y * (K(z,u) / y)) = (1 / x) * K(z,u). [para(1369(a,1),1343(a,1,2))]. 1371 a(x,y \ 1,(y \ 1) \ 1) = a(x,y \ 1,y). [hyper(306,a,1110,a(flip),b,1105,a),flip(a)]. 1372 ((x \ (y / z)) * x) * z != u | z * ((x \ (z \ y)) * x) = u. [para(1232(a,1),256(a,1,1)),flip(b)]. 1373 R(T(x \ y,x * z),x,z) = T((x * z) \ (y * z),x). [para(629(a,1),1233(a,1,1)),flip(a)]. 1374 T(x,K(y,z)) \ u = (x \ u) * K(w,K(v5,v6)). [para(545(a,2),1256(a,1,1))]. 1375 T(x \ y,K(z,u)) = T(x,K(w,v5)) \ y. [hyper(306,a,826,a,b,1374,a)]. 1376 (x \ 1) * T((x \ 1) \ y,z) = T(y * x,z) / x. [hyper(306,a,964,a,b,1291,a),flip(a)]. 1377 (x \ 1) * T((x \ 1) \ 1,y) = x \ T(x,y). [para(8(a,1),1291(a,2,2,1))]. 1378 (x \ 1) * T((x \ 1) \ (x \ y),z) = x \ T(y,z). [para(10(a,1),1291(a,2,2,1))]. 1379 T(x,y) * (x \ 1) = x \ T(x,y). [hyper(64,a,539,a(flip),b,1377,a)]. 1380 (x * T(x \ y,z)) * (1 / x) = T(y * (1 / x),z). [hyper(120,a,1301,a(flip),b,964,a)]. 1382 T(x * y,x \ 1) = x * T(y,x \ 1). [para(793(a,2),1302(a,1,2)),flip(a)]. 1383 (1 / x) * T((1 / x) \ y,z) = T(y * x,z) / x. [hyper(1022,a,1303,a)]. 1384 K(x \ (x / y),x) = y * T(y \ 1,x). [hyper(546,a,1313,a)]. 1385 K(x \ (x / y),x) = (y \ 1) \ T(y \ 1,x). [hyper(306,a,789,a,b,1384,a),flip(a)]. 1386 K(x \ (x / (y \ 1)),x) = y \ T(y,x). [hyper(306,a,1377,a(flip),b,1384,a),flip(a)]. 1387 T(x,y) = K(y \ (y / (x \ 1)),y) * x. [hyper(355,a,1386,a),flip(a)]. 1388 T(x,y) = K(y \ (y / (1 / x)),y) * x. [para(325(a,2),1387(a,2,1,1,2,2))]. 1389 K(x \ (x / (1 / y)),x) = T(y,x) / y. [hyper(119,a,1388,a,b,xx),flip(a)]. 1390 (1 / x) * T((1 / x) \ 1,y) = T(x,y) / x. [hyper(64,a,1384,a(flip),b,1389,a)]. 1392 (1 / x) * T(x,y) = T(x,y) / x. [para(78(a,1),1390(a,1,2,1))]. 1393 (1 / x) * T(x,y) = x \ T(x,y). [hyper(306,a,416,a(flip),b,1392,a),flip(a)]. 1395 x \ (K(y \ 1,y) * z) != u | (x \ z) * K(w \ 1,w) = u. [para(1339(a,2),373(a,1))]. 1396 ((((1 / x) * y) \ z) \ 1) \ 1 = ((x \ 1) * y) \ z. [hyper(118,a,10,a(flip),b,1351,a),flip(a)]. 1397 K(x,K(y,z)) \ (u / w) = u / T(w,K(v5,v6)). [para(545(a,2),1359(a,1,2)),flip(a)]. 1398 T(x / y,K(z,u)) = x / T(y,K(w,v5)). [hyper(715,a,1397,a)]. 1400 T(x,K(y,z)) != u / T(w,K(v5,v6)) | u / w = x. [para(1398(a,1),50(a,1)),flip(a)]. 1401 T(x,y) = (x / y) / (x / (x * y)). [hyper(306,a,968,a,b,1360,a)]. 1402 ((x \ 1) / y) / ((((y \ 1) * x) \ x) \ 1) = T(x \ 1,y). [para(574(a,1),1401(a,2,2)),flip(a)]. 1403 L(K(x,y),z \ 1,z) / z = (1 / z) * K(x,y). [hyper(64,a,1221,a(flip),b,1370,a)]. 1404 x / y != (1 / y) * K(z,u) | L(K(z,u),y \ 1,y) = x. [para(1403(a,1),47(a,1)),flip(a)]. 1405 ((x \ y) * x) * (1 / x) = T(y * (1 / x),x). [para(106(a,1),1380(a,1,1))]. 1406 T((x * y) * (1 / x),x) = (y * x) * (1 / x). [para(9(a,1),1405(a,1,1,1)),flip(a)]. 1407 T((x * y) * (1 / x),x) != z * (1 / x) | y * x = z. [para(1406(a,2),45(a,1))]. 1408 (1 / x) * T((1 / x) \ y,z) = x \ T(x * y,z). [hyper(306,a,964,a(flip),b,1383,a),flip(a)]. 1409 ((L(x,y,y \ 1) \ z) \ 1) \ 1 = ((y \ 1) * (y * x)) \ z. [para(641(a,1),1396(a,1,1,1,1))]. 1410 T(x * (y * (1 / x)),z) = x * (T(y,z) * (1 / x)). [hyper(121,a,535,a(flip),b,1408,a(flip)),flip(a)]. 1411 T((x \ 1) * (y * (1 / (x \ 1))),z) = (x \ 1) * (T(y,z) * x). [para(75(a,1),1410(a,2,2,2))]. 1412 (x * (T(y,x) * T(z,y * x))) \ (z * (y * x)) = a(x,T(y,x),T(z,y * x)). [para(106(a,1),221(a,1,2))]. 1413 a(x,y,z) != u | (x * (y * z)) \ ((x * y) * z) = u. [para(335(a,2),332(a,1)),flip(b)]. 1414 R((x * y) / (z * y),u,w) * (z * y) = (R(x / z,u,w) * z) * y. [para(103(a,1),521(a,1,1,1))]. 1415 R(R(x \ 1,x,y),z,u) * (x * y) = (x * R(x \ 1,z,u)) * y. [para(751(a,1),521(a,2,1))]. 1416 L(x / (y * x),z,u) * (y * x) = (L(1 / y,z,u) * y) * x. [para(216(a,1),525(a,1,1,1))]. 1417 L((x * y) / (z * y),u,w) * (z * y) = (L(x / z,u,w) * z) * y. [para(103(a,1),525(a,1,1,1))]. 1418 (x * y) * L(x \ (x / y),z,u) = x * (y * L(y \ 1,z,u)). [para(460(a,1),527(a,1,2,1))]. 1419 (x * y) * L((x * y) \ z,u,w) = x * (y * L(y \ (x \ z),u,w)). [para(293(a,1),527(a,1,2,1))]. 1420 (x * y) * L(L(x,z,u),w,v5) = x * (y * L(L(x,z,u),w,v5)). [para(770(a,1),527(a,1,2,1))]. 1421 (x * y) * R((x * y) \ (x * z),u,w) = x * (y * R(y \ z,u,w)). [para(95(a,1),528(a,1,2,1))]. 1422 (x * y) * R((x * y) \ z,u,w) = x * (y * R(y \ (x \ z),u,w)). [para(293(a,1),528(a,1,2,1))]. 1423 (x \ 1) * L((x \ 1) \ y,z,u) = x \ L(x * y,z,u). [para(604(a,1),637(a,1,2,1)),flip(a)]. 1424 L(x * (y \ 1),z,u) / (y \ 1) = L(x / y,z,u) * y. [para(626(a,1),642(a,1,1,1))]. 1425 (x \ 1) \ L((x \ 1) * y,z,u) = x * L(x \ y,z,u). [hyper(118,a,725,a(flip),b,714,a)]. 1426 x \ (L(y,z,u) * (y * (L(y,z,u) \ x))) = T(y,L(y,z,u) \ x). [hyper(64,a,783,a(flip),b,1089,a),flip(a)]. 1427 x * ((x \ y) * T((x \ y) \ z,u)) = y * T(y \ (x * z),u). [hyper(121,a,1129,a(flip),b,94,a),flip(a)]. 1428 L(x \ (y \ z),x,z / x) = (y * x) \ z. [hyper(306,a,9,a(flip),b,1133,a),flip(a)]. 1430 (T(x / (y / z),u) * (y / z)) * z = T((x * z) / y,u) * y. [hyper(120,a,1135,a(flip),b,104,a),flip(a)]. 1431 (x * y) * ((z * ((x * y) \ x)) / z) = x * (y * ((z * (y \ 1)) / z)). [hyper(121,a,1177,a(flip),b,18,a(flip))]. 1432 x * (y * ((x \ y) / y)) = T(y,y / (x * y)). [hyper(285,a,1314,a)]. 1433 T(x,x / (y * x)) != z | y * (x * ((y \ x) / x)) = z. [para(1314(a,1),285(a,1))]. 1434 T((x * y) \ ((x * z) * y),x) = R(T(z,x * y),x,y). [para(9(a,1),1373(a,1,1,1)),flip(a)]. 1436 T(x,y) != R(T(z,y * u),y,u) | (y * u) \ ((y * z) * u) = x. [para(1434(a,1),50(a,1)),flip(a)]. 1437 T((x * x) \ (x * (y * x)),x) = R(T(y,x * x),x,x). [para(764(a,1),1434(a,1,1,2))]. 1438 R(T(x,y * y),y,y) = T(L(T(x,y),y,y),y). [para(224(a,1),1437(a,1,1)),flip(a)]. 1439 R(T(x,y * y),y,y) != L(z,y,y) | T(T(x,y),y) = z. [para(1438(a,2),143(a,1))]. 1440 (x \ 1) * R((x \ 1) \ 1,y,z) = x \ R(x,y,z). [hyper(306,a,1073,a(flip),b,750,a),flip(a)]. 1441 (x \ 1) * R((x \ 1) \ 1,y,z) != u | x \ R(x,y,z) = u. [para(750(a,2),1080(a,1))]. 1442 x * (y * R(T(x,y),z,u)) = R(x,z,u) * (x * y). [hyper(64,a,753,a(flip),b,889,a),flip(a)]. 1443 R(x,y,z) * (x * u) = x * (R(x,y,z) * u). [para(229(a,1),1442(a,1,2)),flip(a)]. 1444 x \ (R(x,y,z) * u) = R(x,y,z) * (x \ u). [hyper(696,a,1443,a)]. 1445 x * (R(x,y,z) * (x \ u)) = R(x,y,z) * u. [hyper(314,a,1443,a),flip(a)]. 1446 R(x,y,z) \ (x * (R(x,y,z) * u)) = x * u. [hyper(125,a,1443,a)]. 1447 R(x,y,z) \ (x * u) = x * (R(x,y,z) \ u). [hyper(118,a,152,a(flip),b,1443,a)]. 1448 x * (R(x,y,z) \ 1) = R(x,y,z) \ x. [hyper(118,a,70,a(flip),b,1443,a),flip(a)]. 1449 (x * (R(x,y,z) * u)) \ ((R(x,y,z) * x) * u) = a(R(x,y,z),x,u). [para(1443(a,1),14(a,2,1)),flip(a)]. 1451 (R(x,y,z) * (x \ u)) * x = T(R(x,y,z) * u,x). [hyper(120,a,1444,a(flip),b,827,a)]. 1452 R(x,y,z) * (x \ (y * z)) = x \ ((x * y) * z). [para(102(a,1),1444(a,1,2)),flip(a)]. 1453 R(x,y,z) * (x * u) != w | x * (R(x,y,z) * u) = w. [para(1446(a,1),262(a,1,2)),flip(b)]. 1454 R(x,y,z) = (x \ ((x * y) * z)) / (x \ (y * z)). [hyper(132,a,1452,a),flip(a)]. 1455 (x \ ((x * (x \ 1)) * y)) / (x \ ((x \ 1) * y)) = L(x,x \ 1,y). [hyper(1206,a,1454,a),flip(a)]. 1456 R(x,y,z) * ((x \ u) * x) = T(R(x,y,z) * u,x). [hyper(1155,a,1451,a)]. 1457 T(R(x,y,z) * u,x) = R(x,y,z) * T(u,x). [para(793(a,2),1456(a,1,2)),flip(a)]. 1458 T(R(x,y,z) * T(u,R(x,y,z)),x) = T(u,x) * R(x,y,z). [hyper(306,a,227,a(flip),b,1457,a),flip(a)]. 1459 L(R(x \ 1,y,z),x,x \ u) = L(R(x \ 1,y,z),x,u). [hyper(306,a,29,a(flip),b,1077,a),flip(a)]. 1460 x * (y * T(T(x,y),z)) = T(x,z) * (x * y). [hyper(483,a,1137,a),flip(a)]. 1461 T(x,y) * (x * z) = x * (T(x,y) * z). [para(227(a,1),1460(a,1,2)),flip(a)]. 1463 x * (T(x,y) \ 1) = T(x,y) \ x. [hyper(118,a,70,a(flip),b,1461,a),flip(a)]. 1464 (x / y) * (T(x / y,y) * z) = (y \ x) * ((x / y) * z). [para(108(a,1),1461(a,1,1)),flip(a)]. 1465 x \ (x / T(x,y)) = T(x,y) \ 1. [hyper(118,a,419,a,b,1463,a)]. 1466 T(1 / T(x,y),x) = x \ (x / T(x,y)). [hyper(306,a,1272,a,b,1465,a)]. 1468 (1 / T(x,y)) * x = x / T(x,y). [hyper(137,a,1466,a)]. 1469 (1 / T(x,y)) * x = T(x,y) \ x. [hyper(306,a,419,a(flip),b,1468,a),flip(a)]. 1470 (x * T(x \ 1,y)) \ 1 = T(x \ 1,y) \ (x \ 1). [hyper(201,a,1469,a)]. 1473 (x * y) * T((x * y) \ z,x) = ((x \ (z / y)) * x) * y. [hyper(1022,a,1138,a)]. 1474 (x / K(y,z)) * T(u,x) = u * (K(y,z) \ x). [hyper(672,a,1158,a),flip(a)]. 1475 (K(x,y) \ z) * T(u,z) = u * (K(x,y) \ z). [para(247(a,1),1474(a,1,1))]. 1476 T(x,K(y,z) \ u) = T(x,u). [hyper(479,a,1475,a),flip(a)]. 1477 T(x,K(y,z) * u) = T(x,u). [para(9(a,1),1476(a,1,2)),flip(a)]. 1478 T(x,y * K(z,u)) = T(x,y). [para(248(a,1),1476(a,1,2)),flip(a)]. 1479 T(x,y * z) = T(x,z * y). [para(371(a,1),1476(a,1,2))]. 1480 T(x,K(y,z) * L(K(u,w),v5,v6)) = x. [hyper(306,a,1173,a(flip),b,1477,a),flip(a)]. 1481 T(x,K(y,z) * K(u,w)) = x. [hyper(306,a,242,a(flip),b,1477,a),flip(a)]. 1482 (K(x,y) * z) * T(u,z) = u * (K(x,y) * z). [hyper(121,a,1477,a(flip),b,22,a(flip))]. 1483 T(x,y * (z / y)) = T(x,z). [para(389(a,1),1477(a,1,2))]. 1484 T(x,T(y,z)) = T(x,y). [para(825(a,2),1477(a,1,2))]. 1485 L(x,y,K(z,u)) * (K(z,u) * y) = K(z,u) * (y * T(x,y)). [para(1477(a,1),735(a,1,2,2)),flip(a)]. 1486 T(T(x,y) * z,x) = z * T(x,y). [hyper(946,a,1484,a),flip(a)]. 1487 T(T(x,y),K(z,u)) = T(x,T(y,w)). [hyper(680,a,1484,a)]. 1489 T(x,y) \ (z * T(x,y)) = T(z,x). [hyper(511,a,1484,a)]. 1494 T(x,T(T(y,z),u)) = T(x,y). [hyper(306,a,1484,a(flip),b,1484,a),flip(a)]. 1495 T(x,T(y,z)) = y \ (x * y). [hyper(306,a,22,a(flip),b,1484,a),flip(a)]. 1496 x * T(y,T(x,z)) = y * x. [hyper(121,a,1484,a,b,22,a(flip))]. 1497 T(x,T(y,z)) * K(u,w) = K(u,w) * T(x,y). [hyper(120,a,1484,a,b,269,a)]. 1498 T(x,y / z) = T(x,z \ y). [hyper(64,a,985,a(flip),b,1484,a),flip(a)]. 1499 T(x,L(T(y,z),u,w)) = T(x,L(y,u,w)). [para(25(a,2),1484(a,1,2))]. 1500 T(x,R(T(y,z),u,w)) = T(x,R(y,u,w)). [para(27(a,2),1484(a,1,2))]. 1506 T(T(x,y) * z,x) != u | z * T(x,y) = u. [para(1484(a,1),946(a,1))]. 1507 T(x,y) * T(T(z,x),u) != w | T(z,u) * T(x,y) = w. [para(1484(a,1),483(a,1,2,1))]. 1509 T(x,T(y,z)) = T(x,y * K(u,w)). [hyper(306,a,1484,a,b,1478,a)]. 1510 (x * y) \ (z * (x * y)) = T(z,y * x). [hyper(511,a,1479,a)]. 1511 T((x * y) / z,y * x) = z \ (x * y). [hyper(490,a,1479,a),flip(a)]. 1512 T(x,y * (x \ z)) = T(x,z * y). [hyper(306,a,1261,a(flip),b,1479,a),flip(a)]. 1513 (x * y) \ ((z * x) * y) = R(T(z,y * x),x,y). [para(1479(a,1),745(a,2,1))]. 1514 T(x,y) / (z * (y / z)) != u | (z * (y / z)) \ x = u. [para(1483(a,1),839(a,1,1))]. 1515 T(x,T(y * z,u)) = T(x,T(z * y,z)). [para(853(a,2),1483(a,1,2)),flip(a)]. 1516 T(x,T(y \ z,u)) = T(x,z / y). [para(108(a,1),1494(a,1,2,1))]. 1517 T(x,T(y,z)) != u | T(x,y) = u. [para(1495(a,2),287(a,1))]. 1520 T(x,y / (z \ (u \ y))) = T(x,(z \ y) \ (u * y)). [para(1214(a,1),1498(a,1,2))]. 1521 T(x,y \ (z * y)) != u | T(x,z) = u. [para(22(a,1),1517(a,1,2))]. 1522 T(x,L(T(y,z),u,w)) != v5 | T(x,L(y,u,w)) = v5. [para(25(a,2),1517(a,1,2))]. 1526 T(x,(y \ z) \ z) != u | T(x,y) = u. [para(107(a,1),1517(a,1,2))]. 1528 T(x,K(y,K(z,u)) \ w) != v5 | T(x,w) = v5. [para(275(a,1),1517(a,1,2))]. 1529 T(x,y * z) != u | T(x,z * y) = u. [para(792(a,1),1517(a,1,2))]. 1530 T(x,(y \ z) * y) != u | T(x,z) = u. [para(793(a,1),1517(a,1,2))]. 1531 T(x,y) != z | T(x,T(y,u)) = z. [para(866(a,1),1517(a,1,2))]. 1532 T(x,T(y,z)) != u | T(x,T(y,w)) = u. [para(1484(a,2),1531(a,1))]. 1533 T(T(x,K(y,z)),u) = T(x,T(u,w)). [hyper(544,a,1487,a)]. 1535 ((x * y) / x) * T(x,z) = T(x,z) * y. [hyper(121,a,219,a(flip),b,1489,a),flip(a)]. 1536 T(x,y * K(z,u)) != w | T(x,y) = w. [para(1509(a,1),1517(a,1))]. 1537 T(x,y * (x \ z)) = T(x,y * z). [hyper(306,a,1479,a,b,1512,a),flip(a)]. 1539 T(x,y / z) != u | T(x,z \ y) = u. [para(1516(a,1),1517(a,1))]. 1541 T(x,y * (x * z)) = T(x,y * z). [para(9(a,1),1537(a,1,2,2)),flip(a)]. 1542 T(x,y * (x * z)) = T(x,z * y). [hyper(306,a,1479,a,b,1541,a),flip(a)]. 1548 T(x,y) != z | T(x,K(u,w) \ y) = z. [para(252(a,1),1536(a,1,2))]. 1549 T(x,y * (z \ 1)) != u | T(x,y * (1 / z)) = u. [para(1327(a,1),1536(a,1,2))]. 1552 ((x * y) * z) * T(x,y * z) = x * ((x * y) * z). [hyper(121,a,1542,a(flip),b,1510,a)]. 1553 (x / (y * z)) * (z * y) = (z * y) * ((y * z) \ x). [hyper(121,a,108,a(flip),b,1510,a),flip(a)]. 1554 R(T(x / y,z * x),y,z) = (y * z) \ (x * z). [hyper(64,a,628,a(flip),b,1511,a)]. 1556 T(x,T(y * z,y)) != u | T(x,T(z * y,w)) = u. [para(1515(a,1),1532(a,1))]. 1558 ((x * y) / x) * T(x,(x * z) / x) = T(x,z) * y. [para(899(a,1),1535(a,2,1))]. 1559 T(T(x,x * y) * z,x) != u | z * T(x,y) = u. [para(414(a,2),1506(a,1,1,1))]. 1560 (K(x,y) * z) * T(u,z) = u * (z * K(x,y)). [hyper(306,a,360,a(flip),b,1482,a),flip(a)]. 1562 (x / y) * (y * K(z,u)) = (K(z,u) * y) * (y \ x). [para(108(a,1),1560(a,1,2)),flip(a)]. 1563 T(x,(y \ z) \ (u * z)) != w | T(x,(y \ (u \ z)) \ z) = w. [para(1520(a,1),1539(a,1))]. 1564 (T(x,y * z) * ((x * y) * z)) \ (x * ((x * y) * z)) != u | K((x * y) * z,T(x,y * z)) = u. [para(1552(a,1),302(a,1,2))]. 1565 x \ (T(x,y) * y) = (x * y) / x. [hyper(118,a,1558,a(flip),b,106,a(flip))]. 1567 x / (R(x \ 1,y,z) \ 1) = x * R(x \ 1,y,z). [hyper(585,a,1216,a)]. 1568 (x \ 1) * (L(x,y,z) \ x) = L(x,y,z) \ 1. [para(423(a,1),1226(a,1,1)),flip(a)]. 1569 (x \ 1) \ (L(x,y,z) \ 1) = L(x,y,z) \ x. [hyper(125,a,1568,a)]. 1570 L(x \ 1,y,z) \ (x \ 1) = x \ (L(x \ 1,y,z) \ 1). [para(326(a,1),1569(a,1,1)),flip(a)]. 1571 1 / R(T(x,(1 / x) * y),1 / x,y) = (((1 / x) * y) \ y) \ 1. [para(1118(a,1),1253(a,1,1)),flip(a)]. 1572 (T(1 / x,y) * x) * (x \ z) = z * T(z \ (x \ z),y). [hyper(1022,a,1292,a),flip(a)]. 1573 x * (y * L(T(x,x * y),z,u)) = L(x,z,u) * (x * y). [para(25(a,2),1307(a,1,2,2))]. 1574 L(x,y \ 1,y) \ (1 * x) != z | a(y,y \ 1,x) = z. [para(264(a,1),1363(a,1,1))]. 1575 ((x \ 1) / y) / ((x \ ((y \ 1) \ x)) \ 1) = T(x \ 1,y). [para(349(a,1),1402(a,1,2,1))]. 1576 (x \ 1) \ (x \ L(x * y,z,u)) = L((x \ 1) \ y,z,u). [hyper(125,a,1423,a)]. 1577 (x \ 1) * L((x \ 1) \ 1,y,z) = x \ L(x,y,z). [para(8(a,1),1423(a,2,2,1))]. 1578 (x \ 1) * L((x \ 1) \ T(y,x),z,u) = x \ L(y * x,z,u). [para(106(a,1),1423(a,2,2,1))]. 1579 L(x,y,z) * (x \ 1) = x \ L(x,y,z). [hyper(64,a,740,a(flip),b,1577,a)]. 1582 (x / y) * ((y \ x) * z) = (y \ x) * ((x / y) * z). [para(108(a,1),1464(a,1,2,1))]. 1583 (x \ (x * y)) * (((x * y) / x) * z) = ((x * y) / x) * (y * z). [para(219(a,1),1464(a,1,2,1)),flip(a)]. 1584 ((x / y) \ x) * ((x / (x / y)) * z) = (x / (x / y)) * (y * z). [para(235(a,1),1464(a,1,2,1)),flip(a)]. 1585 (x \ y) * ((y / x) \ 1) = (y / x) \ (x \ y). [hyper(118,a,70,a(flip),b,1582,a),flip(a)]. 1586 ((x \ (x / y)) * x) * y = x * (y * T(y \ 1,x)). [hyper(64,a,1115,a(flip),b,1473,a),flip(a)]. 1587 x * ((y \ x) * T((y \ x) \ 1,x)) = ((x \ y) * x) * (y \ x). [para(75(a,1),1586(a,1,1,1,2)),flip(a)]. 1588 (x \ (x / y)) \ (y \ 1) = y \ (L(y \ 1,y,x) \ 1). [hyper(64,a,497,a(flip),b,1570,a)]. 1589 (x \ (x / y)) \ (y \ 1) = y \ ((x \ (x / y)) \ 1). [para(460(a,1),1588(a,2,2,1))]. 1590 (x \ 1) \ ((y \ (y / (x \ 1))) \ 1) = (y \ (y / (x \ 1))) \ x. [para(326(a,1),1589(a,1,2)),flip(a)]. 1591 (x * T(x \ 1,y)) * (x \ z) = z * T(z \ (x \ z),y). [para(537(a,1),1572(a,1,1))]. 1592 x * (y * L(T(x,y),z,u)) = L(x,z,u) * (x * y). [para(414(a,1),1573(a,1,2,2,1))]. 1593 L(x,y,z) * (x * u) = x * (L(x,y,z) * u). [para(228(a,1),1592(a,1,2)),flip(a)]. 1594 x \ (L(x,y,z) * u) = L(x,y,z) * (x \ u). [hyper(696,a,1593,a)]. 1595 L(x,y,z) * (x \ (L(x,y,z) \ u)) = x \ u. [hyper(694,a,1593,a),flip(a)]. 1596 x * (L(x,y,z) * (x \ u)) = L(x,y,z) * u. [hyper(314,a,1593,a),flip(a)]. 1597 L(x,y,z) \ (x * (L(x,y,z) * u)) = x * u. [hyper(125,a,1593,a)]. 1598 L(x,y,z) \ (x * u) = x * (L(x,y,z) \ u). [hyper(118,a,152,a(flip),b,1593,a)]. 1600 (L(x,y,z) * (x \ u)) * x = T(L(x,y,z) * u,x). [hyper(120,a,1594,a(flip),b,827,a)]. 1601 (x \ (L(x,y,z) * u)) * x = L(x,y,z) * T(u,x). [para(1594(a,2),1191(a,1,1))]. 1602 L(x,y,z) \ (x \ u) = x \ (L(x,y,z) \ u). [hyper(125,a,1595,a)]. 1605 x \ y != L(z,u,w) * (z \ (L(z,u,w) \ v5)) | x * (z \ v5) = y. [para(1602(a,1),313(a,2,2))]. 1606 x \ y != L(z,u,w) * (z \ (L(z,u,w) \ v5)) | y / (z \ v5) = x. [para(1602(a,1),319(a,2,2))]. 1607 T(L(x,y,z) * u,x) = L(x,y,z) * T(u,x). [hyper(64,a,1191,a(flip),b,1600,a),flip(a)]. 1608 L(x,y,z) * T(u,x) != w | T(L(x,y,z) * u,x) = w. [para(1601(a,1),856(a,1))]. 1609 ((x \ ((y \ 1) \ x)) \ ((y \ 1) \ x)) \ 1 = T(x \ 1,y). [hyper(64,a,582,a(flip),b,1575,a)]. 1610 (x * T(x \ (y \ x),z)) / (y \ x) = y * T(y \ 1,z). [hyper(132,a,1591,a)]. 1611 T(x,(y \ 1) \ x) \ 1 = T(x \ 1,y). [para(403(a,2),1609(a,1,1))]. 1612 (x * y) \ (K(x,y) * (y * (x * z))) = L(L(z,x,y),y * x,K(x,y)). [para(93(a,1),390(a,1,2,2))]. 1613 ((x * (y * z)) \ 1) / ((y \ 1) * (x \ 1)) = R(z \ 1,y \ 1,x \ 1). [para(515(a,1),560(a,1,1))]. 1614 (x * y) / L(y \ z,y,x) = ((x * y) / z) * y. [hyper(306,a,112,a(flip),b,612,a),flip(a)]. 1615 (x * y) / z != ((x * y) / u) * y | L(y \ u,y,x) = z. [para(1614(a,1),46(a,1)),flip(a)]. 1616 (T((x * y) / x,z) * x) * y = (x * y) * T(y,z). [hyper(1152,a,1021,a)]. 1617 (x * T(y,z)) * y = (x * y) * T(y,z). [para(538(a,1),1616(a,1,1))]. 1618 x * ((x \ y) * L((x \ y) \ z,u,w)) = y * L(y \ (x * z),u,w). [para(605(a,1),1087(a,1,2,1)),flip(a)]. 1619 (x / y) * (y * L(y \ z,u,w)) = x * L(x \ ((x / y) * z),u,w). [para(606(a,1),1090(a,1,2,1)),flip(a)]. 1620 L((x \ y) / y,z,u) * y = (L(1 / x,z,u) * x) * (x \ y). [para(474(a,1),1097(a,1,1,1))]. 1622 x * ((x \ y) * R((x \ y) \ z,u,w)) = y * R(y \ (x * z),u,w). [hyper(121,a,1130,a(flip),b,94,a),flip(a)]. 1623 (R(x / (y / z),u,w) * (y / z)) * z = R((x * z) / y,u,w) * y. [hyper(120,a,1136,a(flip),b,104,a),flip(a)]. 1625 (((x * (y * z)) / (x * y)) * x) * y = (x * y) * R(L(z,y,x),x,y). [para(18(a,2),1184(a,1,2,1)),flip(a)]. 1626 T(x * (L(x,y,z) * u),L(x,y,z)) = x * (u * L(x,y,z)). [para(1593(a,1),1197(a,1,1))]. 1627 L(x * (y \ 1),y,y \ 1) = L(x,y \ 1,y) * (y \ 1). [para(264(a,1),1220(a,1,1)),flip(a)]. 1629 (x * y) * ((z * ((x * y) \ u)) / z) = x * (y * ((z * (y \ (x \ u))) / z)). [para(293(a,1),1234(a,1,2,1,2))]. 1630 (x \ 1) * ((y \ ((x \ 1) \ z)) * y) = x \ ((y \ (x * z)) * y). [hyper(118,a,1250,a(flip),b,264,a),flip(a)]. 1632 ((x \ (y / (1 / z))) * x) * (1 / z) = ((x \ (y * z)) * x) / z. [hyper(119,a,1254,a(flip),b,643,a),flip(a)]. 1633 (x * y) * T((x * y) \ (z * y),u) = (T(z / x,u) * x) * y. [hyper(121,a,1290,a(flip),b,745,a)]. 1634 x \ (y * (K(z \ 1,z) * u)) != w | (x \ (y * u)) * K(v5 \ 1,v5) = w. [para(1326(a,1),1395(a,1,2))]. 1635 T(x * R(y,z,u),y) = T(x,y) * R(y,z,u). [para(106(a,1),1458(a,1,1))]. 1636 x * T(y * R(x,z,u),x) = (y * x) * R(x,z,u). [para(1635(a,2),1196(a,1,2))]. 1637 (x * R(y,z,u)) * y = (x * y) * R(y,z,u). [hyper(281,a,1636,a)]. 1638 ((x / y) / R(y,z,u)) * y = x / R(y,z,u). [hyper(692,a,1637,a),flip(a)]. 1639 (x / R(x \ y,z,u)) * (x \ y) = y / R(x \ y,z,u). [hyper(660,a,1637,a),flip(a)]. 1640 x * (((x * y) * R(x \ (x / y),z,u)) \ x) = (x / y) / R(x \ (x / y),z,u). [hyper(1304,a,1639,a)]. 1641 (x / R(x \ y,z,u)) * (x \ y) = R(y / x,z,u) \ y. [hyper(306,a,1211,a(flip),b,1639,a),flip(a)]. 1642 L(x,y,K(z,u)) * (K(z,u) * y) = K(z,u) * (x * y). [hyper(306,a,218,a(flip),b,1485,a),flip(a)]. 1643 L(x,y,K(z,u)) * (y * K(z,u)) = K(z,u) * (x * y). [hyper(670,a,1642,a)]. 1645 L(x,y,K(z,u)) * (y * K(z,u)) = (x * y) * K(z,u). [hyper(306,a,244,a(flip),b,1643,a),flip(a)]. 1646 L(x,x \ y,K(z,u)) \ (y * K(z,u)) = (x \ y) * K(z,u). [hyper(118,a,151,a(flip),b,1645,a)]. 1647 R(x,y,K(z,u)) = L(x,y,K(z,u)). [hyper(36,a,102,a,b,1645,a)]. 1648 (x * y) * K(z,u) != w * (y * K(z,u)) | L(x,y,K(z,u)) = w. [para(1645(a,1),45(a,1))]. 1649 L(x,y * z,K(z,y)) * (z * y) = (x * (y * z)) * K(z,y). [para(85(a,1),1645(a,1,2))]. 1650 (K(x,y) * z) * R(u,z,K(x,y)) = K(x,y) * (z * u). [hyper(121,a,1647,a,b,18,a(flip))]. 1651 x * ((L(x,y,z) \ u) * L(x,y,z)) = T(x * u,L(x,y,z)). [para(10(a,1),1626(a,1,1,2)),flip(a)]. 1652 (K(x,y) * (z * (y * x))) / (x * y) = L(z,y * x,K(x,y)). [hyper(119,a,244,a,b,1649,a)]. 1653 T(x * y,L(x,z,u)) = x * T(y,L(x,z,u)). [para(793(a,2),1651(a,1,2)),flip(a)]. 1654 T(x * y,L(x,z,u)) != x * w | T(y,L(x,z,u)) = w. [para(1653(a,2),44(a,1))]. 1655 R(x \ R(x,y,z),x,y * z) = ((x * y) * z) / (x * (y * z)). [para(417(a,1),631(a,1,1))]. 1656 K(x,y) = (T(y,y \ 1) * x) \ (x * ((y \ 1) \ 1)). [para(326(a,1),1006(a,2,2)),flip(a)]. 1657 K(x,(y \ 1) \ 1) = K(x,y). [hyper(306,a,1006,a(flip),b,1656,a)]. 1658 K(K(x,x \ 1) * y,z) = K(y,(z \ 1) \ 1). [hyper(306,a,955,a,b,1657,a)]. 1659 K(x,T(y,K(z,u))) = K(x,y). [para(334(a,2),1657(a,1,2))]. 1661 K(x,K(y \ 1,y) * z) = K(x,z). [para(564(a,2),1657(a,1,2))]. 1662 K(x,R(y,z,y)) = K(x,y). [para(802(a,2),1657(a,1,2))]. 1663 K(x,L(y,z,y)) = K(x,y). [para(799(a,1),1662(a,1,2))]. 1664 K(x,y * a(z,u,z)) = K(x,y). [para(878(a,1),1662(a,1,2))]. 1665 K(x,(y \ z) \ z) = K(x,T(y,z)). [para(1014(a,1),1662(a,1,2))]. 1666 K(x,L(R(y,z,y),u,w)) = K(x,L(y,u,w)). [para(930(a,1),1662(a,1,2))]. 1667 K(x,T(y / z,y)) = K(x,z \ y). [para(759(a,1),1663(a,1,2))]. 1668 K(x,T(y,K(z,u))) * w = w * K(x,y). [hyper(120,a,1659,a,b,270,a)]. 1669 K(x,T(y,K(z,u)) \ w) = K(x,y \ w). [para(1375(a,1),1659(a,1,2))]. 1670 K(x,T(y * z,y)) = K(x,z * y). [para(982(a,2),1664(a,1,2))]. 1671 K(x,(y \ 1) * (y * z)) = K(x,L(z,y,y \ 1)). [para(600(a,1),1661(a,1,2))]. 1672 K(x,(y \ z) * y) = K(x,T(z,y)). [para(10(a,1),1670(a,1,2,1)),flip(a)]. 1673 K(x,L(y,z,y) \ u) = K(x,y \ u). [para(758(a,1),1669(a,1,2,1))]. 1674 K(x,R(y,z,y) \ u) = K(x,y \ u). [para(799(a,2),1673(a,1,2,1))]. 1675 K(x,(a(y,z,y) * u) \ w) = K(x,u \ w). [para(805(a,1),1674(a,1,2,1))]. 1676 K(x,y \ (a(z,u,z) * w)) = K(x,y \ w). [para(1142(a,1),1674(a,1,2)),flip(a)]. 1677 K(x,L(T(y,y \ z),u,w)) = K(x,L(T(y,z),u,w)). [para(800(a,1),1666(a,1,2,1))]. 1678 K(x,T(y * z,y) \ u) = K(x,(z * y) \ u). [para(816(a,2),1675(a,1,2,1))]. 1679 K(x,y \ T(z * u,z)) = K(x,y \ (u * z)). [para(816(a,2),1676(a,1,2,2))]. 1680 K(x,((y \ z) * y) \ u) = K(x,T(z,y) \ u). [para(10(a,1),1678(a,1,2,1,1)),flip(a)]. 1681 K(x,T(L(y,z,u),y \ w)) = K(x,L(T(y,w),z,u)). [para(25(a,1),1677(a,1,2))]. 1682 T(x,L(L(x,y,z) \ x,u,w)) = x. [hyper(231,a,1046,a)]. 1683 (x * y) * R((x * y) \ (x * z),u,w) != v5 | x * (y * R(y \ z,u,w)) = v5. [para(95(a,1),1153(a,1,2,1))]. 1685 (x * (y * z)) * R(((x * y) * L(z,y,x)) \ (x * y),u,w) = (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)). [para(93(a,1),1274(a,1,1))]. 1686 ((x \ ((x * y) / z)) * x) * z = x * (z * T(z \ y,x)). [hyper(64,a,1473,a(flip),b,1281,a)]. 1687 x * ((y \ (x \ (y * z))) * y) = y * (x * T(x \ z,y)). [hyper(1372,a,1686,a)]. 1688 x * (y * T(y \ (x \ z),x)) = ((x \ (z / y)) * x) * y. [para(10(a,1),1686(a,1,1,1,2,1)),flip(a)]. 1689 x * T(x \ (y * z),y) = y * (x * T(x \ z,y)). [para(793(a,2),1687(a,1,2))]. 1690 x * (y * T(y \ z,x)) != y * u | T(y \ (x * z),x) = u. [para(1689(a,1),44(a,1))]. 1692 ((x \ (y / (z \ 1))) * x) * (z \ 1) = x * (z \ T(z * (x \ y),x)). [para(1291(a,1),1688(a,1,2)),flip(a)]. 1693 ((x \ (y / (1 / z))) * x) * (1 / z) = x * (T((x \ y) * z,x) / z). [para(1383(a,1),1688(a,1,2)),flip(a)]. 1694 x * (y * T(y \ (x \ z),z)) = T(z,x * y). [hyper(979,a,1282,a),flip(a)]. 1695 T((x \ 1) * (y * x),z) = (x \ 1) * (T(y,z) * x). [para(75(a,1),1411(a,1,1,2,2))]. 1696 T(x * y,L(y \ 1,z,u)) = T(x,L(y \ 1,z,u)) * y. [hyper(1654,a,1695,a)]. 1697 (x * y) * L((x * y) \ y,z,u) = (L(1 / x,z,u) * x) * y. [hyper(1207,a,1416,a)]. 1698 (x \ y) * T((x \ y) \ z,x) = y * T(y \ z,x). [hyper(35,a,1689,a(flip),b,1427,a),flip(a)]. 1699 x * ((x \ y) * T((x \ y) \ 1,z)) = y * T(y \ x,z). [para(8(a,1),1427(a,2,2,1,2))]. 1700 x * T(x \ y,z) = y * K(z \ (z / (y \ x)),z). [para(1384(a,2),1699(a,1,2)),flip(a)]. 1701 K(x \ (x / (y \ z)),x) = y \ (z * T(z \ y,x)). [hyper(633,a,1700,a),flip(a)]. 1702 (x * y) * K(z \ (z / ((x * y) \ x)),z) = x * T(y,z). [para(9(a,1),1700(a,1,2,1)),flip(a)]. 1703 T(x,T(y * z,u)) = T(x,y * T(z,w)). [para(1702(a,1),1509(a,2,2))]. 1704 T(x,T(y * z,u)) = T(x,z * T(y,w)). [hyper(1556,a,1703,a)]. 1705 (T(x / (y / z),u) * (y / z)) * z = y * T(y \ (x * z),u). [hyper(306,a,537,a(flip),b,1430,a),flip(a)]. 1706 (T(1 / (x / y),z) * (x / y)) * y = T(y / x,z) * x. [para(7(a,1),1430(a,2,1,1,1))]. 1707 (T(1 / (x / y),z) * (x / y)) * y = x * T(x \ y,z). [hyper(306,a,537,a(flip),b,1706,a),flip(a)]. 1708 ((x / y) * T((x / y) \ 1,z)) * y = x * T(x \ y,z). [para(537(a,1),1707(a,1,1))]. 1709 K(x \ (x / (y / z)),x) * z = y * T(y \ z,x). [para(1384(a,2),1708(a,1,1))]. 1710 K(x \ (x / (y / z)),x) = (y * T(y \ z,x)) / z. [hyper(132,a,1709,a),flip(a)]. 1711 K(x \ (x / R(y,z,u)),x) = (((y * z) * u) * T(((y * z) * u) \ (z * u),x)) / (z * u). [para(20(a,2),1710(a,1,1,2,2))]. 1712 ((x * y) / x) * (y * z) = y * (((x * y) / x) * z). [para(9(a,1),1583(a,1,1)),flip(a)]. 1713 ((x * y) / x) * (y \ 1) = y \ ((x * y) / x). [hyper(481,a,1712,a),flip(a)]. 1714 (x / (x / y)) * (y * z) = y * ((x / (x / y)) * z). [hyper(716,a,1584,a),flip(a)]. 1716 (x / (x / y)) \ (y * z) = y * ((x / (x / y)) \ z). [hyper(118,a,152,a(flip),b,1714,a)]. 1717 ((x \ y) * x) * (y \ x) = x * (y \ ((x \ y) * x)). [para(1312(a,1),1587(a,1,2)),flip(a)]. 1718 ((x \ y) * x) * (y \ x) = x * K(x \ y,x). [para(86(a,1),1717(a,2,2))]. 1719 (x * y) * ((y * x) \ y) = y * K(y \ (y * x),y). [para(9(a,1),1718(a,1,1,1))]. 1720 (x * y) * ((y * x) \ y) = y * K(x,y). [para(9(a,1),1719(a,2,2,1))]. 1721 (x * y) \ (y * K(x,y)) = L(x \ 1,x,y). [hyper(118,a,1720,a(flip),b,464,a)]. 1724 x / (x / y) = y * K(y \ x,y). [hyper(39,a,1146,a,b,1721,a)]. 1725 x * K(y,x) = y * (x / y). [hyper(39,a,1145,a,b,1721,a),flip(a)]. 1726 (x * y) / x = y * K(x,y). [hyper(39,a,1068,a,b,1721,a)]. 1727 T(x,y \ x) = x * K(y,x). [hyper(306,a,871,a,b,1725,a)]. 1728 T(x,y) * K(y,T(x,y)) = x. [hyper(306,a,814,a(flip),b,1725,a),flip(a)]. 1729 (x * K(y,x)) * y = y * x. [hyper(120,a,1725,a,b,850,a)]. 1730 K(x,y) = y \ ((x * y) / x). [hyper(118,a,850,a,b,1725,a),flip(a)]. 1731 T(x * K(y,x),y) = x. [para(1725(a,2),813(a,1,1))]. 1732 x / (x / y) = y * K(x / y,y). [hyper(353,a,1731,a)]. 1733 (x \ y) * K(x,x \ y) = y / x. [hyper(239,a,1731,a),flip(a)]. 1734 K(K(x,y) * K(z,u),w) = 1. [hyper(117,a,1731,a(flip),b,1481,a(flip)),flip(a)]. 1735 T(T(x * K(y,x),z),y) = T(x,z). [para(1731(a,1),23(a,1,1)),flip(a)]. 1736 T(K(x,y) * y,x) = y. [para(244(a,2),1731(a,1,1))]. 1738 R(x * K(y,x),z,u) * y = y * R(x,z,u). [para(1731(a,1),229(a,1,2,1)),flip(a)]. 1739 ((x * K(y * z,x)) * y) * z = (y * z) * R(x,y,z). [para(1731(a,1),743(a,1,2,1)),flip(a)]. 1740 T(x,L(y * K(z,y),u,w)) = T(x,L(y,u,w)). [para(1731(a,1),1499(a,1,2,1)),flip(a)]. 1741 (x * y) / x = K(x,y) * y. [hyper(274,a,1736,a)]. 1742 K(x,x \ y) * (x \ y) = y / x. [hyper(239,a,1736,a),flip(a)]. 1743 x * ((y * z) / y) = x * (z * K(y,z)). [hyper(121,a,1726,a,b,9,a)]. 1744 x * (y * K(x,y)) = T(x,y) * y. [hyper(121,a,1726,a(flip),b,1565,a)]. 1746 ((x / y) * (y * K(z,x))) \ ((z * x) / z) = a(x / y,y,K(z,x)). [para(1726(a,2),84(a,1,2))]. 1747 T(x,y \ x) != x * z | K(y,x) = z. [para(1727(a,2),44(a,1))]. 1748 ((x * y) * z) * a(z * K(x * y,z),x,y) = ((z * K(x * y,z)) * x) * y. [hyper(120,a,1729,a(flip),b,184,a)]. 1749 K(x,y) = ((x * y) / x) * (y \ 1). [hyper(306,a,1713,a,b,1730,a),flip(a)]. 1750 (x \ y) \ (y / x) = K(x,x \ y). [para(10(a,1),1730(a,2,2,1)),flip(a)]. 1753 (x * y) / ((x * y) / x) = x * K(y,x). [para(9(a,1),1724(a,2,2,1))]. 1756 K(x / y,y) = K(y \ x,y). [hyper(35,a,1724,a(flip),b,1732,a(flip)),flip(a)]. 1757 (x * (y / x)) \ y = K(x \ y,x). [hyper(64,a,89,a,b,1756,a)]. 1758 K((x \ y) \ y,x \ y) = K(x,x \ y). [para(75(a,1),1756(a,1,1)),flip(a)]. 1759 T(x * K(x * y,x),y) = R(x,z,x). [hyper(942,a,1735,a),flip(a)]. 1760 x \ K(y,x \ 1) = (y * (x \ 1)) / y. [hyper(1018,a,1749,a)]. 1761 (x * K(y,x)) * (x \ 1) = K(y,x). [para(1726(a,1),1749(a,2,1)),flip(a)]. 1762 (x \ y) * K(x,x \ y) != z | y / x = z. [para(1750(a,1),262(a,1,2)),flip(b)]. 1763 K(x \ y,x) * (x * (y / x)) = y. [hyper(39,a,240,a,b,1757,a)]. 1764 K(x,y) / (y \ 1) = y * K(x,y). [hyper(132,a,1761,a)]. 1765 (1 / x) \ K(y,x) = x * K(y,x). [hyper(64,a,1016,a(flip),b,1764,a)]. 1766 K(x,y) \ (K(x,y) / y) = 1 / y. [hyper(922,a,1765,a)]. 1767 K(x,y) = (1 / y) * ((x * y) / x). [hyper(121,a,1726,a,b,1765,a),flip(a)]. 1768 (1 / x) * K(y,x) = K(y,x) / x. [hyper(372,a,1766,a)]. 1769 x * ((y * (x \ 1)) / y) = K(y,x \ 1). [hyper(306,a,182,a(flip),b,1767,a)]. 1770 L(K(x,y),y \ 1,y) = K(x,y). [hyper(1404,a,1768,a(flip))]. 1771 (x \ 1) * K(y,x) = x \ K(y,x). [hyper(118,a,1770,a(flip),b,264,a),flip(a)]. 1773 (x * K(x * y,x)) * y = y * R(x,z,x). [hyper(121,a,1759,a(flip),b,22,a(flip)),flip(a)]. 1775 K(x,x \ y) = y \ T(y,x \ y). [hyper(64,a,828,a(flip),b,1758,a),flip(a)]. 1776 x \ (y * (x / y)) = K(y,y \ x). [para(871(a,1),1775(a,2,2)),flip(a)]. 1777 K(x,y / x) = K(x,x \ y). [hyper(647,a,1776,a)]. 1778 K(x,x \ (y * x)) = K(x,y). [para(11(a,1),1777(a,1,2)),flip(a)]. 1779 K(x,T(y,x)) = K(x,y). [para(22(a,2),1778(a,1,2))]. 1780 K(x,T(y,T(x,z))) = K(x,y). [para(1495(a,2),1778(a,1,2))]. 1781 K(x,(y \ x) \ x) = K(x,y). [hyper(64,a,1665,a,b,1779,a)]. 1782 K(x,y * x) = K(x,x * y). [hyper(64,a,1670,a(flip),b,1779,a)]. 1783 K(x,x / y) = K(x,y \ x). [hyper(64,a,1667,a(flip),b,1779,a),flip(a)]. 1784 T(x,y) * K(y,x) = x. [para(1779(a,1),1728(a,1,2))]. 1785 T(x,y) = K(y,x) \ x. [hyper(366,a,1784,a),flip(a)]. 1786 K(x,y) * T(y,x) = y. [hyper(358,a,1784,a)]. 1787 K(x,y) = T(y,x) \ y. [hyper(125,a,1784,a),flip(a)]. 1788 K(x,y) = y / T(y,x). [hyper(119,a,1784,a(flip),b,244,a),flip(a)]. 1789 L(K(x,y),T(y,x),z) = (z * T(y,x)) \ (z * y). [para(1784(a,1),18(a,2,2,2))]. 1790 T(x,y) * z != x | K(y,x) = z. [para(1784(a,1),44(a,1)),flip(a)]. 1791 T(x,y) \ x != z | K(y,x) = z. [para(1784(a,1),286(a,1,2)),flip(b)]. 1793 L(x,T(y,z),K(z,y)) * y = K(z,y) * (x * T(y,z)). [para(1784(a,1),1643(a,1,2))]. 1794 K(x * K(y,z),u) = u / T(u,x). [hyper(196,a,1478,a(flip),b,1785,a(flip)),flip(a)]. 1795 K(K(x,y) * z,u) = u / T(u,z). [hyper(196,a,1477,a(flip),b,1785,a(flip)),flip(a)]. 1796 x / T(x,y) != z | K(y,x) = z. [para(1785(a,2),282(a,1,2)),flip(b)]. 1798 T(x,T(y,z)) \ x = K(y,x). [hyper(118,a,1786,a(flip),b,1497,a)]. 1799 K(x,y) != z \ y | T(y,x) = z. [para(1786(a,1),356(a,1,2)),flip(a)]. 1800 (x * T(x \ 1,y)) \ 1 = K(y,x \ 1). [hyper(306,a,1470,a,b,1787,a)]. 1801 K(x,x \ y) = K(x,y). [hyper(306,a,840,a,b,1787,a)]. 1802 K(x,y) / y = 1 / T(y,x). [hyper(119,a,1787,a,b,1469,a)]. 1803 T(x,y) \ 1 = x \ K(y,x). [hyper(118,a,1787,a,b,1463,a),flip(a)]. 1804 R(T(x,y),z,u) \ R(x,z,u) = K(y,R(x,z,u)). [para(27(a,2),1787(a,2,1)),flip(a)]. 1806 (x * y) / ((x * y) / x) = x * (T(x,y) \ x). [para(1787(a,1),1753(a,2,2))]. 1807 K(x,y) != y / z | T(y,x) = z. [para(1788(a,2),46(a,1))]. 1808 K(x,y) != z | T(y,x) \ y = z. [para(1788(a,2),494(a,1))]. 1809 K(x,y * x) = K(x,y). [hyper(64,a,1778,a(flip),b,1801,a),flip(a)]. 1810 K(x,x \ y) = a(z,u,z) * K(x,y). [hyper(121,a,1801,a(flip),b,771,a),flip(a)]. 1811 K(x,x * y) = K(x,y). [para(9(a,1),1801(a,1,2)),flip(a)]. 1812 K(x,y) * (x \ y) = y / x. [para(1801(a,1),1742(a,1,1))]. 1813 x * K(y,T(z,T(y,u))) = K(y,z) * x. [hyper(121,a,1780,a,b,240,a)]. 1814 K(T(x,y),z) = K(x,z). [hyper(64,a,1787,a,b,1798,a)]. 1815 T(K(x,y),z) = K(T(x,u),y). [hyper(306,a,149,a,b,1814,a)]. 1816 K(T(x,y),T(z,x)) = K(x,z). [hyper(306,a,1779,a(flip),b,1814,a),flip(a)]. 1817 x * K(T(y,z),u) = K(y,u) * x. [hyper(121,a,1814,a,b,240,a)]. 1819 K(x * y,z) = K(y * x,z). [hyper(64,a,999,a(flip),b,1814,a)]. 1820 K(x / y,z) = K(y \ x,z). [hyper(64,a,975,a(flip),b,1814,a),flip(a)]. 1821 K(R(T(x,y),z,u),w) = K(R(x,z,u),w). [para(27(a,2),1814(a,1,1))]. 1822 x * K(T(y,z),u) != w | K(y,u) * x = w. [para(1814(a,2),358(a,1,2))]. 1823 K((x \ y) * x,z) = K(y,z). [para(793(a,1),1814(a,1,1))]. 1825 T(x,y) = (K(y,x) / x) \ 1. [hyper(189,a,1802,a(flip)),flip(a)]. 1826 (K(x,y) / y) \ 1 != z | T(y,x) = z. [para(1802(a,2),271(a,1,1)),flip(b)]. 1827 (x \ 1) * K(y,x) = T(x,y) \ 1. [hyper(306,a,1771,a,b,1803,a)]. 1828 (x \ 1) * (y \ K(z,y)) = (T(y,z) * x) \ 1. [para(1803(a,1),515(a,1,2))]. 1829 (x \ (y \ K(z,y))) \ 1 = T(y,z) / (x \ 1). [para(1803(a,1),568(a,1,1,2))]. 1831 K(T(x,y),z) != u | K(x,z) = u. [para(1815(a,1),179(a,1)),flip(b)]. 1833 K(T(x \ y,z),u) = K(y / x,u). [hyper(306,a,1814,a,b,1820,a)]. 1834 K(x / y,z) * u = u * K(y \ x,z). [hyper(120,a,1820,a,b,270,a)]. 1837 K(x,y \ 1) \ 1 = y * T(y \ 1,x). [hyper(121,a,1825,a,b,579,a(flip)),flip(a)]. 1838 K(x,x \ y) != z | K(x,y) = z. [para(840(a,2),1791(a,1))]. 1839 K(x,y) != z | K(T(x,u),y) = z. [para(1798(a,1),1791(a,1))]. 1840 K(x \ (y * x),z) != u | K(y,z) = u. [para(22(a,1),1831(a,1,1))]. 1841 K(x \ y,z) != u | K(y / x,z) = u. [para(108(a,1),1831(a,1,1))]. 1843 K((x \ y) \ y,z) != u | K(x,z) = u. [para(107(a,1),1831(a,1,1))]. 1844 K(L(x,y,x),z) != u | K(x,z) = u. [para(758(a,1),1831(a,1,1))]. 1845 K(x * y,z) != u | K(y * x,z) = u. [para(792(a,1),1831(a,1,1))]. 1846 K((x \ y) * x,z) != u | K(y,z) = u. [para(793(a,1),1831(a,1,1))]. 1847 K(x * (y / x),z) != u | K(y,z) = u. [para(794(a,1),1831(a,1,1))]. 1848 K(x,y) != z | K(x,x * y) = z. [para(9(a,1),1838(a,1,2))]. 1849 K(x * y,L(y \ z,y,x)) != u | K(x * y,x * z) = u. [para(95(a,2),1838(a,1,2))]. 1850 K(x * K(y,z),u) = K(x,u). [hyper(306,a,1788,a,b,1794,a),flip(a)]. 1851 K(x * K(y,z),u) != w | K(x,u) = w. [para(1794(a,2),1796(a,1))]. 1852 T(K(x,y),z) = K(x * K(u,w),y). [hyper(306,a,149,a,b,1850,a)]. 1854 K(K(x,y) \ z,u) = K(z,u). [hyper(64,a,1823,a(flip),b,1850,a),flip(a)]. 1855 K(x,y) * (y * (x * K(z,u))) = (x * K(z,u)) * y. [hyper(120,a,1850,a(flip),b,376,a(flip))]. 1856 K(x * T(y,z),u) = K(x * y,u). [para(1702(a,1),1850(a,1,1))]. 1857 K(K(x,y) * z,u) != w | K(z,u) = w. [para(1795(a,2),1796(a,1))]. 1858 (T(1 / x,y) \ 1) / K(y,1 / x) = x. [hyper(119,a,1827,a(flip),b,193,a(flip))]. 1859 T(x,T(y,z) \ 1) = T(x,y \ 1). [para(1827(a,1),1478(a,1,2))]. 1860 K(x / y,z) != u | K(y \ x,z) = u. [para(1833(a,1),1831(a,1))]. 1862 T(K(x \ 1,y),z) = K(T(x,u) \ 1,y). [para(1827(a,1),1852(a,2,1))]. 1863 K(x * T(y,z),u) = K(y * x,u). [hyper(306,a,1819,a,b,1856,a),flip(a)]. 1864 K(x * (y / z),u) = K(x * (z \ y),u). [para(108(a,1),1856(a,1,1,2)),flip(a)]. 1865 T(x,T(y,z) \ 1) != T(u,y \ 1) | u = x. [para(1859(a,1),50(a,1)),flip(a)]. 1866 K(T(x,y) * z,u) = K(x * z,u). [hyper(64,a,1819,a,b,1863,a)]. 1869 K(x * T(y,z),u) != w | K(x * y,u) = w. [para(1863(a,2),1845(a,1))]. 1872 K(x,(y \ 1) \ 1) != z | K(x,y) = z. [para(1658(a,1),1857(a,1))]. 1874 K(x,((y \ 1) * (z \ 1)) \ 1) != u | K(x,z * y) = u. [para(515(a,2),1872(a,1,2,1))]. 1875 (x \ K(y,x \ 1)) * y = y * (x \ 1). [hyper(120,a,1760,a,b,xx)]. 1876 (T(1 / x,y) \ 1) / K(y,x \ 1) = x. [para(325(a,1),1858(a,1,2,2))]. 1877 T(K(x,y),z) = K(T(1 / x,u) \ 1,y). [para(78(a,1),1862(a,1,1,1))]. 1878 T(K(x,y),z) = K(T(x \ 1,u) \ 1,y). [para(326(a,1),1862(a,1,1,1))]. 1879 T(1 / x,y) \ 1 = x * K(y,x \ 1). [hyper(134,a,1876,a),flip(a)]. 1881 K(x * (y \ z),u) != w | K(x * (z / y),u) = w. [para(108(a,1),1869(a,1,1,2))]. 1882 R(x * K(y,x),z,x) = x * K(x * y,x). [hyper(36,a,1773,a,b,1738,a),flip(a)]. 1883 R(x,y,z) * K(u,R(x,y,z)) = R(x * K(u,x),y,z). [hyper(36,a,1729,a,b,1738,a)]. 1884 K(x * y,x) = K(y,x). [hyper(921,a,1882,a),flip(a)]. 1885 K(x / y,y) = K(x,y). [hyper(1847,a,1884,a),flip(a)]. 1886 K(x,y \ x) = K(y,y \ x). [hyper(1846,a,1884,a)]. 1887 K(x * y,y) = K(x,y). [hyper(1845,a,1884,a)]. 1888 K(x \ y,x) = K(y,x). [para(10(a,1),1884(a,1,1)),flip(a)]. 1889 K(x,y) != z | K(y \ x,y) = z. [para(1885(a,1),1860(a,1))]. 1890 K(x \ y,x) = a(z,u,z) \ K(y,x). [hyper(306,a,771,a,b,1888,a),flip(a)]. 1891 K(x,y) = x \ T(x,y). [hyper(64,a,828,a(flip),b,1888,a),flip(a)]. 1892 T(x,y) = x * K(x,y). [hyper(121,a,1888,a(flip),b,828,a(flip)),flip(a)]. 1893 T(x,y) = K(x,y) * x. [para(1888(a,1),825(a,2,1))]. 1894 x * K(x,y) != z | T(x,y) = z. [para(1888(a,1),882(a,1,2))]. 1895 K(x,y) * x != z | T(x,y) = z. [para(1888(a,1),884(a,1,1))]. 1896 K(T(x,y),z) = x \ T(x,z). [hyper(1839,a,1891,a)]. 1897 T(x,y) \ x = y \ T(y,x). [hyper(1808,a,1891,a)]. 1898 K(x,y) = (1 / x) * T(x,y). [hyper(306,a,1393,a,b,1891,a),flip(a)]. 1899 K(x \ (x / y),x) = K(y \ 1,x). [hyper(306,a,1385,a,b,1891,a)]. 1900 K(x,y) = T(x,y) * (x \ 1). [hyper(306,a,1379,a,b,1891,a),flip(a)]. 1901 x * T(x \ 1,y) = K(x \ 1,y). [hyper(306,a,789,a(flip),b,1891,a)]. 1902 T(x,y) = (1 / x) \ K(x,y). [hyper(118,a,1891,a,b,1393,a),flip(a)]. 1903 (T(x,y) * z) * K(x * z,u) = T(T(x,y) * z,u). [hyper(121,a,1866,a(flip),b,1891,a(flip))]. 1904 (K(x,y) \ z) * K(z,u) = T(K(x,y) \ z,u). [hyper(121,a,1854,a(flip),b,1891,a(flip))]. 1905 T(x,y) * (y \ T(y,x)) = x. [hyper(121,a,1891,a(flip),b,1787,a(flip))]. 1906 K(x,y) != x \ z | T(x,y) = z. [para(1891(a,2),48(a,1))]. 1908 K(x,y * K(z,u)) = x \ T(x,y). [para(1478(a,1),1891(a,2,2))]. 1909 K(x,y \ x) = K(y,x). [hyper(1747,a,1892,a),flip(a)]. 1910 K(x,y) * T(x,z) = T(T(x,z),y). [hyper(306,a,1817,a(flip),b,1892,a)]. 1911 ((x * y) * K(y,z)) / T(y,z) = R(x,y,K(y,z)). [hyper(196,a,1892,a,b,183,a)]. 1912 T(x,y) != x * z | K(x,y) = z. [para(1892(a,2),44(a,1))]. 1913 x \ T(x,y) != z | K(x,y) = z. [para(1892(a,2),286(a,1,2)),flip(b)]. 1915 T(x,y) != z * x | K(x,y) = z. [para(1892(a,2),365(a,1))]. 1916 (x * y) * z != x * T(y,u) | L(K(y,u),y,x) = z. [para(1892(a,2),595(a,2,2))]. 1918 T(x,y) * L(z,x,K(x,y)) = K(x,y) * (x * z). [para(1892(a,2),599(a,1,1))]. 1919 L(x,x \ y,K(y,z)) \ T(y,z) = (x \ y) * K(y,z). [para(1892(a,2),1646(a,1,2))]. 1920 (x * K(y,z)) * y != u * T(y,z) | R(x,K(y,z),y) = u. [para(1892(a,2),1167(a,2,2))]. 1922 T(x,T(y,z)) = K(x,y) * x. [hyper(1531,a,1893,a)]. 1923 K(x / y,y) * (x / y) = y \ x. [hyper(489,a,1893,a),flip(a)]. 1924 K(L(x,y,z),u) * L(x,y,z) = L(T(x,u),y,z). [hyper(64,a,25,a,b,1893,a),flip(a)]. 1925 R(T(x,y),z,u) / R(x,z,u) = K(R(x,z,u),y). [hyper(119,a,27,a,b,1893,a(flip))]. 1927 (x * K(y,z)) \ (x * T(y,z)) != u | L(y,K(y,z),x) = u. [para(1893(a,2),597(a,1,2,2))]. 1928 T(x,y) * a(K(x,y),z,z \ x) = (K(x,y) * z) * (z \ x). [para(1893(a,2),1082(a,1,1))]. 1929 T(x * y,z) * a(K(x * y,z),y,T(x,y)) = (K(x * y,z) * y) * T(x,y). [para(1893(a,2),1083(a,1,1))]. 1930 K(x \ y,y) = K(y,x). [hyper(64,a,1781,a(flip),b,1909,a),flip(a)]. 1931 K(x \ (x / y),x) = T(x,y \ 1) \ x. [hyper(306,a,1385,a,b,1897,a)]. 1932 K(x,y) = (x \ 1) * T(x,y). [para(325(a,1),1898(a,2,1))]. 1933 (x * K(x,y)) * (x \ 1) = K(x,y). [para(1892(a,1),1900(a,2,1)),flip(a)]. 1934 T(x,y) = (x \ 1) \ K(x,y). [para(325(a,1),1902(a,2,1))]. 1935 x \ T(x,y) = K(x,y). [para(1905(a,1),1790(a,1)),flip(b),xx(a)]. 1936 T(x,y * T(z,u)) = K(x,z * y) * x. [hyper(64,a,1704,a(flip),b,1922,a)]. 1937 K(x,T(y,z)) = K(x,y). [hyper(36,a,1893,a(flip),b,1922,a(flip))]. 1938 K(x \ y,T(z,u)) = K(y / x,z). [hyper(1860,a,1937,a)]. 1939 K(T(x,y),T(z,u)) = K(x,z). [hyper(1839,a,1937,a)]. 1940 K(T(x,y),z) = K(x,T(z,u)). [hyper(1831,a,1937,a),flip(a)]. 1941 T(K(x,T(y,z)),u) = K(x,y). [hyper(368,a,1937,a)]. 1942 K(x,T(y,z)) = (K(x,y) \ u) \ u. [hyper(306,a,303,a,b,1937,a),flip(a)]. 1943 K(x,T(y,z)) = (u * K(x,y)) / u. [hyper(306,a,270,a,b,1937,a),flip(a)]. 1944 T(K(x,y),z) = K(x,T(y,u)). [hyper(306,a,149,a,b,1937,a)]. 1945 K(x,T(T(y,z),u)) = K(x,y). [hyper(306,a,1937,a(flip),b,1937,a),flip(a)]. 1946 x * K(y,T(z,u)) = K(y,z) * x. [hyper(121,a,1937,a,b,240,a)]. 1947 x * K(T(x,y),T(z,u)) = T(x,z). [hyper(121,a,1937,a,b,1896,a(flip))]. 1949 K(x,T(y,z)) * u = u * K(x,y). [hyper(120,a,1937,a,b,270,a)]. 1950 K(x,(y \ z) * y) = K(x,z). [hyper(64,a,1672,a,b,1937,a)]. 1952 K(x,L(T(y,z),u,w)) = K(x,L(y,u,w)). [hyper(64,a,1681,a(flip),b,1937,a)]. 1953 K(x,y * z) = K(x,z * y). [hyper(64,a,1670,a(flip),b,1937,a)]. 1954 K(x,y / z) = K(x,z \ y). [hyper(64,a,1667,a(flip),b,1937,a),flip(a)]. 1957 K(x,T(y,z)) * u != w | u * K(x,y) = w. [para(1937(a,2),373(a,1,1))]. 1958 K(T(x,y),T(z,u)) != w | K(x,z) = w. [para(1937(a,2),1831(a,1))]. 1959 (x \ 1) * T(x,y) != z | K(x,y) = z. [para(1934(a,2),262(a,1,2)),flip(b)]. 1960 K(x,y) * ((z * T(x,y)) \ K(x,y)) != u | (x \ 1) * (z \ K(x,y)) = u. [para(1934(a,2),672(a,1,2,1,2))]. 1961 K(T(x,y),z \ u) = K(x,u / z). [hyper(64,a,1667,a(flip),b,1939,a)]. 1962 K(L(T(x,y),z,u),w) = K(L(x,z,u),T(w,v5)). [para(25(a,2),1940(a,1,1))]. 1963 K(x,T(y,z)) != u | K(x,y) = u. [para(1940(a,1),1831(a,1))]. 1964 (K(x,T(y,z)) * u) * w = (u * w) * R(K(x,y),u,w). [para(1941(a,1),743(a,1,2,1)),flip(a)]. 1966 K(x,T(y \ z,u)) = K(x,z / y). [para(108(a,1),1945(a,1,2,1))]. 1969 K(x,y / z) * u = u * K(x,z \ y). [hyper(120,a,1954,a,b,270,a)]. 1971 K(x,((y * z) * u) / (y * (z * u))) = K(x,a(y,z,u)). [para(14(a,2),1954(a,2,2))]. 1972 K(x,y / z) * u != w | u * K(x,z \ y) = w. [para(1954(a,2),373(a,1,1))]. 1974 K(x,y \ (z * y)) != u | K(x,z) = u. [para(22(a,1),1963(a,1,2))]. 1976 K(x,R(T(y,z),u,w)) != v5 | K(x,R(y,u,w)) = v5. [para(27(a,2),1963(a,1,2))]. 1977 K(x,y \ z) != u | K(x,z / y) = u. [para(108(a,1),1963(a,1,2))]. 1978 K(x,(y \ z) \ z) != u | K(x,y) = u. [para(107(a,1),1963(a,1,2))]. 1979 K(x,y * z) != u | K(x,z * y) = u. [para(792(a,1),1963(a,1,2))]. 1980 K(x,(y \ z) * y) != u | K(x,z) = u. [para(793(a,1),1963(a,1,2))]. 1981 K(x,y \ ((y / z) * (u * z))) != w | K(x,L(u,z,y / z)) = w. [para(1311(a,1),1963(a,1,2))]. 1982 K(x,T(T(y,z),u)) != w | K(x,y) = w. [para(1937(a,2),1963(a,1))]. 1983 (x * T(x \ y,z)) / y = K((x / y) \ 1,z). [hyper(64,a,1710,a(flip),b,1899,a)]. 1984 x \ (y * T(y \ x,z)) = K((x \ y) \ 1,z). [hyper(64,a,1701,a(flip),b,1899,a)]. 1985 x * T(x \ y,z) = y * K((y \ x) \ 1,z). [hyper(121,a,1899,a(flip),b,1701,a(flip)),flip(a)]. 1986 K((x / y) \ 1,z) * y = x * T(x \ y,z). [hyper(120,a,1899,a(flip),b,1710,a(flip))]. 1987 (x * y) * K(((x * y) \ x) \ 1,z) = x * T(y,z). [para(1899(a,1),1702(a,1,2))]. 1988 K(x,y \ 1) \ 1 = K(y \ 1,x). [hyper(64,a,1837,a,b,1901,a)]. 1989 x * (y * T(y \ (x \ 1),z)) = K((x * y) \ 1,z). [hyper(64,a,1282,a(flip),b,1901,a)]. 1990 K(x \ 1,y) * (x \ z) = z * T(z \ (x \ z),y). [hyper(120,a,1901,a(flip),b,1610,a)]. 1991 (x * y) * T((x * y) \ x,z) = x * K(y \ 1,z). [para(1901(a,1),1115(a,2,2))]. 1992 K(x \ 1,y) \ 1 = K(y,x \ 1). [para(1901(a,1),1800(a,1,1))]. 1993 K(x,y * K(z,u)) = K(x,y). [hyper(306,a,1891,a,b,1908,a),flip(a)]. 1994 K(x,y * K(z,u)) != w | K(x,y) = w. [para(1908(a,2),1913(a,1))]. 1995 T(K(x,y),z) = K(x,y * K(u,w)). [hyper(306,a,149,a,b,1993,a)]. 1996 K(x,K(y,z) * u) = K(x,u). [hyper(64,a,1953,a,b,1993,a)]. 1997 K(x,K(y,z) \ u) = K(x,u). [hyper(64,a,1950,a(flip),b,1993,a),flip(a)]. 2000 K(x,y) * T(K(z,u) * y,x) = K(z,u) * y. [hyper(120,a,1996,a(flip),b,1788,a(flip))]. 2001 K(x,K(y,z) \ u) = K(x,K(w,v5) * u). [hyper(306,a,1996,a,b,1997,a),flip(a)]. 2002 K(x,K(y,z) \ u) = K(x,u * K(w,v5)). [hyper(306,a,1993,a,b,1997,a),flip(a)]. 2003 T(K(x,y),z) = K(x,K(u,w) \ y). [hyper(306,a,149,a,b,1997,a)]. 2004 K(x,y) * T(x,z) = T(T(x,y),z). [hyper(306,a,23,a,b,1910,a),flip(a)]. 2005 (x / y) * K(y \ x,y) = y \ x. [hyper(64,a,1834,a(flip),b,1923,a)]. 2006 (x / y) \ (y \ x) = K(y \ x,y). [hyper(118,a,1923,a(flip),b,1834,a(flip))]. 2007 K(x,y) \ (x \ K(x,y)) = x \ 1. [hyper(393,a,1933,a)]. 2008 K(a(x,y,z),T(u,w)) = K(((x * y) * z) / (x * (y * z)),u). [para(14(a,2),1938(a,1,1))]. 2009 (K(x,T(y,z)) * u) * (w * K(v5,v6)) = (u * K(x,y)) * (K(v5,v6) * w). [hyper(120,a,1949,a,b,531,a)]. 2010 K(x,y / z) != u | K(x,z \ y) = u. [para(1961(a,1),1831(a,1))]. 2011 K(x,T(y \ 1,z) \ 1) = 1 / T(K(y,x),u). [hyper(196,a,1878,a,b,1988,a),flip(a)]. 2012 T(K(x,y),z) = K(x,T(1 / y,u) \ 1). [para(1879(a,2),1995(a,2,2))]. 2013 K(x,K(y,z) \ u) != w | K(x,u) = w. [para(2003(a,1),179(a,1)),flip(b)]. 2014 T(x,y) * K(x,z) = T(T(x,z),y). [hyper(373,a,2004,a)]. 2016 (x / y) * K(x,y) = y \ x. [para(1888(a,1),2005(a,1,2))]. 2017 (x / y) * K(x,y) = T(x,y) / y. [hyper(306,a,827,a,b,2016,a),flip(a)]. 2018 (x \ y) \ K(x \ y,x) = (y / x) \ 1. [hyper(118,a,2006,a(flip),b,1585,a)]. 2019 (x \ 1) * K(x,y) = x \ K(x,y). [hyper(372,a,2007,a)]. 2020 K(x,y) * T(x,z) = T(x,y) * K(x,z). [hyper(306,a,1910,a,b,2014,a)]. 2021 K(x,y) * (x / y) = T(x,y) / y. [hyper(358,a,2017,a)]. 2022 K(x,y) * (x / y) = x / T(y,x). [hyper(306,a,855,a(flip),b,2021,a),flip(a)]. 2023 (x / T(y,x)) * L(z,x / y,K(x,y)) = K(x,y) * ((x / y) * z). [hyper(120,a,2022,a(flip),b,186,a)]. 2024 K(L(T(x,y),z,u),T(w,v5)) != v6 | K(L(x,z,u),w) = v6. [para(25(a,2),1958(a,1,1))]. 2025 K(x,y * x) != z | K(x,y) = z. [para(1801(a,1),1974(a,1))]. 2026 K(x,x * y) != z | K(x,y) = z. [para(1782(a,1),2025(a,1))]. 2027 K(x,y) != z | K(x,x \ y) = z. [para(1950(a,1),2025(a,1))]. 2031 K(x,y) != z | K(x,y * K(u,w)) = z. [para(1996(a,1),1979(a,1))]. 2033 K(x,y \ ((z \ 1) \ 1)) != u | K(x,y \ z) = u. [para(1338(a,1),1994(a,1,2))]. 2035 K(x,y * K(z,u)) != w | K(x,y * K(v5,v6)) = w. [para(1993(a,2),2031(a,1))]. 2036 T(x,x \ (x / y)) = T(x,y \ 1). [hyper(1799,a,1931,a)]. 2037 T(x,y \ 1) = T(x,x / y). [hyper(496,a,2036,a),flip(a)]. 2038 T(x,x / (y * x)) = T(x,y \ 1). [para(879(a,2),2036(a,1,2))]. 2039 T(x,y \ 1) = T(x,y \ x). [hyper(306,a,1498,a(flip),b,2037,a),flip(a)]. 2040 T(x,(x / y) \ 1) = T(x,y). [hyper(306,a,893,a(flip),b,2037,a),flip(a)]. 2041 T(x,y \ 1) = y * (x / y). [hyper(306,a,794,a(flip),b,2037,a),flip(a)]. 2042 x \ T(y,x \ 1) = y / x. [hyper(118,a,2037,a,b,794,a(flip))]. 2043 T(x,(y \ 1) \ x) = T(x,y). [hyper(1526,a,2039,a),flip(a)]. 2044 T(x,x * (y \ 1)) = T(x,y \ x). [hyper(513,a,2039,a)]. 2045 T(x,x \ (y \ x)) = T(x,y \ 1). [hyper(306,a,404,a,b,2039,a)]. 2046 T(x,y \ 1) = x * K(y,x). [hyper(306,a,1727,a(flip),b,2039,a),flip(a)]. 2047 (x \ 1) * T(y,x \ y) = y * (x \ 1). [hyper(121,a,2039,a(flip),b,22,a(flip))]. 2048 T(x,y) / ((x / y) \ 1) = ((x / y) \ 1) \ x. [hyper(119,a,2040,a(flip),b,793,a(flip))]. 2049 T(x * y,y \ 1) = y * x. [hyper(1052,a,2041,a),flip(a)]. 2050 T(x * (y \ 1),y) = (y \ 1) * x. [hyper(928,a,2041,a),flip(a)]. 2051 T(x,y \ 1) = (y * x) / y. [hyper(306,a,850,a,b,2041,a),flip(a)]. 2052 T(T(x * y,z),y \ 1) = T(y * x,z). [hyper(306,a,963,a(flip),b,2041,a),flip(a)]. 2053 T(T(x,y),y \ 1) = x. [hyper(306,a,814,a(flip),b,2041,a),flip(a)]. 2054 T(x,y \ 1) * y = y * x. [hyper(120,a,2041,a,b,850,a)]. 2055 (x \ 1) * (x * (y / x)) = y * (x \ 1). [hyper(121,a,2041,a(flip),b,22,a(flip))]. 2056 (x \ 1) \ T(y,x) = y / (x \ 1). [hyper(118,a,988,a(flip),b,2041,a(flip))]. 2057 x \ T(T(T(y,x \ 1),z),u) = T(T(y,z),u) / x. [hyper(118,a,109,a(flip),b,2041,a(flip))]. 2058 (x / (y \ 1)) / y = y \ ((y \ 1) \ x). [hyper(118,a,108,a(flip),b,2041,a(flip)),flip(a)]. 2059 x \ T(y,x \ 1) != z | y / x = z. [para(2041(a,2),286(a,1,2)),flip(b)]. 2060 T(x * (y / x),(x \ 1) \ y) = y. [para(2041(a,1),866(a,1,1))]. 2061 T(x,y \ 1) \ y = y / x. [para(2041(a,2),851(a,1,1))]. 2062 T(T(x,y),y \ 1) != z | x = z. [para(2041(a,2),857(a,1))]. 2063 T(T(x,y \ 1),T(y,z)) = x. [hyper(1865,a,2053,a),flip(a)]. 2064 T((x / y) \ 1,y) = (y \ x) \ 1. [hyper(1160,a,2053,a),flip(a)]. 2065 T(x,y) * (y \ 1) = (y \ 1) * x. [hyper(121,a,2053,a(flip),b,22,a(flip)),flip(a)]. 2066 T(x \ y,x \ 1) = y / x. [para(108(a,1),2053(a,1,1))]. 2067 T(x \ y,y \ 1) = y / x. [para(400(a,1),2053(a,1,1))]. 2068 T(T(x,y \ 1),z) * y = y * T(x,z). [para(2053(a,1),536(a,1,2,1)),flip(a)]. 2069 R(T(x,y \ 1),z,u) * y = y * R(x,z,u). [para(2053(a,1),746(a,1,2,1)),flip(a)]. 2070 x * (y / x) != z | T(y,x \ 1) = z. [para(2042(a,1),262(a,1,2)),flip(b)]. 2071 T(x \ 1,y) = T(x,y) \ 1. [para(2043(a,1),1611(a,1,1)),flip(a)]. 2072 K(x,y \ 1) = K(y,x). [hyper(1912,a,2046,a)]. 2073 T(x \ y,x \ 1) != z | y / x = z. [para(2046(a,2),1762(a,1))]. 2074 K(x \ 1,y) = K(y,x). [hyper(1978,a,2072,a),flip(a)]. 2075 K(x,y \ 1) = K(x,y \ x). [hyper(306,a,1909,a,b,2072,a),flip(a)]. 2076 K(x,y) = (y \ 1) * T(y,x \ 1). [hyper(64,a,1932,a(flip),b,2072,a),flip(a)]. 2077 K(x \ 1,y) != z | K(y,x) = z. [para(2072(a,1),1872(a,1))]. 2078 (x \ K(x,y)) * y = y * (x \ 1). [para(2072(a,1),1875(a,1,1,2))]. 2079 T(x \ 1,y) = x \ K(y,x). [hyper(118,a,2074,a(flip),b,1901,a),flip(a)]. 2080 K(x,y \ 1) != z | K(y,x) = z. [para(2074(a,1),1843(a,1))]. 2081 T(T(x,y) * L(y,z,u),L(y,z,u) \ 1) = T(L(y,z,u) * x,y). [hyper(306,a,1607,a,b,2049,a),flip(a)]. 2082 (x \ 1) * (x * y) = (y * x) * (x \ 1). [hyper(121,a,2049,a(flip),b,22,a(flip))]. 2083 (x * y) / (x \ 1) = (x \ 1) \ (y * x). [hyper(119,a,2049,a(flip),b,793,a(flip))]. 2085 (x * y) / (x \ 1) != z | (x \ 1) \ (y * x) = z. [para(2049(a,1),839(a,1,1))]. 2086 (x * (y \ 1)) * y = y * ((y \ 1) * x). [para(2049(a,1),991(a,1,2)),flip(a)]. 2087 (x \ (y \ 1)) * y = y * ((y \ 1) / x). [hyper(120,a,400,a(flip),b,2051,a(flip))]. 2088 ((x \ 1) \ y) * x = x * (y / (x \ 1)). [hyper(120,a,108,a(flip),b,2051,a(flip))]. 2089 L(T(x,(y * z) \ 1),z,y) = (y * (z * x)) / (y * z). [para(2051(a,2),1178(a,1,1))]. 2090 (T(x,(y * z) \ 1) * y) * z = (y * z) * R(x,y,z). [para(2051(a,2),1188(a,1,1,1))]. 2091 (x * y) / x != z | T(y,x \ 1) = z. [para(2054(a,1),259(a,1,1)),flip(b)]. 2092 T(T(T(x,y \ 1),z),u) \ y = y / T(T(x,z),u). [para(109(a,1),2061(a,1,1))]. 2093 R(T(x,y \ 1),z,u) * (T(x,y \ 1) \ y) = (y / x) * R(T(T(x,y \ 1),y),z,u). [para(2061(a,1),752(a,1,1)),flip(a)]. 2094 T(x,T(y,z)) != u | T(u,y \ 1) = x. [para(2063(a,1),50(a,1)),flip(a)]. 2095 T((x * y) \ ((z * y) * T(x,y)),(x * y) \ 1) = R(z,y,T(x,y)). [hyper(306,a,225,a(flip),b,2066,a),flip(a)]. 2097 T(x \ 1,y) * R(T(x,y),z,u) = T(x,y) \ R(T(x,y),z,u). [hyper(120,a,2071,a,b,1041,a)]. 2098 T(x \ 1,y) * (z \ 1) = (z * T(x,y)) \ 1. [para(2071(a,2),515(a,1,1))]. 2099 L(T(x \ 1,y),T(x,y),z) \ z = T(x,y) * z. [para(2071(a,2),888(a,1,1,1))]. 2100 (T(x,y) * (T(x \ 1,y) * z)) \ (1 * z) = a(T(x,y),T(x,y) \ 1,z). [para(2071(a,2),83(a,1,1,2,1))]. 2102 x / (y \ K(x,y)) = (y \ 1) \ x. [hyper(196,a,2079,a(flip),b,403,a(flip))]. 2103 T(x \ 1,y) != x \ z | K(y,x) = z. [para(2079(a,2),48(a,1))]. 2104 (x * y) \ (x * K(z,y)) = L(T(y \ 1,z),y,x). [para(2079(a,2),95(a,1,1)),flip(a)]. 2105 T(x * y,y \ 1) != z | y * x = z. [para(792(a,1),2062(a,1,1))]. 2107 K(x,y) != z | K(y \ 1,x) = z. [para(326(a,1),2080(a,1,2))]. 2108 x * (y * ((x \ y) / y)) = T(y,x \ 1). [hyper(1433,a,2038,a)]. 2109 x \ T(y,x \ 1) = y * ((x \ y) / y). [hyper(118,a,2038,a(flip),b,1432,a)]. 2110 T(x,x * (1 / y)) = T(x,y \ x). [hyper(1549,a,2044,a)]. 2111 T((x * (y \ 1)) \ y,y) = ((y \ 1) * x) \ y. [para(2050(a,1),410(a,2,1))]. 2112 (x \ 1) * L(y / (x \ 1),z,u) = x \ L(y * x,z,u). [para(2056(a,1),1578(a,1,2,1))]. 2113 T(x,(y \ z) \ 1) != u | T(x,(z / y) \ 1) = u. [para(2064(a,1),1517(a,1,2))]. 2114 K(x * (1 / y),x) = T(x,y \ x) \ x. [para(2110(a,1),1787(a,2,1))]. 2115 x * y != z | T(y * x,x \ 1) = z. [para(11(a,1),2070(a,1,2))]. 2117 x / y != z | T(y \ x,y \ 1) = z. [para(10(a,1),2091(a,1,1))]. 2118 K(x,y * T(z,u)) = K(x,z * y). [hyper(1915,a,1936,a)]. 2119 K(x,T(y,z) * u) = K(x,y * u). [hyper(1979,a,2118,a)]. 2120 K(x,(y / z) * u) = K(x,u * (z \ y)). [para(108(a,1),2118(a,1,2,2)),flip(a)]. 2122 K(x,(y / z) * u) = K(x,(z \ y) * u). [para(108(a,1),2119(a,1,2,1)),flip(a)]. 2123 K(x,T(y,z) * u) != w | K(x,u * y) = w. [para(2119(a,2),1979(a,1))]. 2126 K(x,y / z) * u != u * w | K(x,z \ y) = w. [para(1969(a,2),44(a,1))]. 2127 K(x,K(y,z) \ u) != w | K(x,K(v5,v6) * u) = w. [para(2002(a,2),1979(a,1))]. 2128 T(K(x,y),z) = K(x,T(y \ 1,u) \ 1). [para(325(a,1),2012(a,2,2,1,1))]. 2129 (x \ y) \ K(y,x) = (y / x) \ 1. [para(1888(a,1),2018(a,1,2))]. 2130 L(x / y,y,y \ 1) = x * (y \ 1). [hyper(1171,a,2047,a)]. 2131 (x * y) * (y \ 1) = L(x,y,y \ 1). [para(11(a,1),2130(a,1,1)),flip(a)]. 2132 (x / y) \ L(x / y,y,y \ 1) = ((x * (y \ 1)) \ (x / y)) \ 1. [para(2130(a,1),1225(a,1,1,1)),flip(a)]. 2133 (x / y) \ L(x / y,y,y \ 1) = (x * (y \ 1)) * ((x / y) \ 1). [para(2130(a,1),1579(a,1,1)),flip(a)]. 2134 R(x,y,y \ 1) = L(x,y,y \ 1). [hyper(624,a,2131,a)]. 2135 (x * (y \ 1)) * y = L(x,y \ 1,y). [hyper(36,a,1627,a(flip),b,2131,a),flip(a)]. 2136 L(x,y,y \ 1) \ 1 = y * ((x * y) \ 1). [para(2131(a,1),318(a,1,1))]. 2137 x \ L(x,y,y \ 1) = a(x,y,y \ 1). [para(2131(a,1),213(a,1,2))]. 2138 x \ L(x,y,y \ 1) != z | a(x,y,y \ 1) = z. [para(2131(a,1),1364(a,1,2))]. 2139 x \ L(x,y \ 1,y) = a(x,1 / y,y). [para(2135(a,1),1108(a,1,2))]. 2140 (x * (y \ 1)) * y != z | y * ((y \ 1) * x) = z. [para(2135(a,2),459(a,1))]. 2141 x / T(T(y,x \ 1),z) = x * (x / (x * T(y,z))). [para(2068(a,1),880(a,1,2,2)),flip(a)]. 2142 (x * y) * (y \ 1) != z | L(x,y,y \ 1) = z. [para(2082(a,1),724(a,1))]. 2143 (x * y) \ ((x \ 1) \ (y * x)) = L(x,x \ 1,x * y). [para(2083(a,1),500(a,2,2)),flip(a)]. 2144 (x * (y \ 1)) * y != z | L(x,y \ 1,y) = z. [para(2086(a,2),601(a,1))]. 2145 x * ((x * y) * (y / (x * y))) = T(x * y,x \ 1). [para(9(a,1),2108(a,1,2,2,1))]. 2146 T(x,x \ (y \ x)) \ (y \ T(x,y \ 1)) = x \ (y \ x). [hyper(118,a,2109,a,b,1047,a)]. 2147 K(x * (1 / y),x) = K(y \ x,x). [hyper(306,a,1787,a,b,2114,a),flip(a)]. 2148 K(x * (y \ 1),x) = K(y \ x,x). [hyper(64,a,1864,a(flip),b,2147,a)]. 2149 K(x,(y / z) * u) != w | K(x,(z \ y) * u) = w. [para(2120(a,2),1979(a,1))]. 2150 K(x,(y / z) * u) != w | K(x,u * (z \ y)) = w. [para(2122(a,2),1979(a,1))]. 2152 a(x \ 1,x,y) \ 1 = a(y,x,x \ 1). [hyper(64,a,1228,a,b,2137,a)]. 2153 L(x,y,y \ 1) / x = a(x,y,y \ 1). [hyper(64,a,418,a,b,2137,a)]. 2155 (x \ ((x \ 1) \ y)) \ (((x \ 1) * x) \ y) = a(x \ ((x \ 1) \ y),x,x \ 1). [para(293(a,1),2137(a,1,2))]. 2156 x \ L(x,y \ 1,y) = a(x,y \ 1,y). [hyper(306,a,1111,a(flip),b,2139,a),flip(a)]. 2157 a(x,y,y \ 1) != z | x \ L(x,y,y \ 1) = z. [para(2153(a,1),493(a,1))]. 2160 x * (y * ((x * y) \ 1)) = a(y \ 1,y,x). [hyper(121,a,2136,a(flip),b,1202,a(flip))]. 2161 (x * ((y * x) \ 1)) \ (z \ 1) = (z / L(y,x,x \ 1)) \ 1. [para(2136(a,1),584(a,1,1))]. 2163 x * (((x * y) / ((x * y) / x)) \ z) = (x * (T(x,y) \ x)) \ (x * z). [para(1806(a,1),1716(a,1,1)),flip(a)]. 2164 ((R(x \ K(y,x),z,u) \ 1) * (x \ K(y,x))) \ 1 = T(x,y) / (R(x \ K(y,x),z,u) \ 1). [para(780(a,2),1829(a,1,1))]. 2165 (x * (y * T(y \ z,u))) / (x * z) = K(((x * y) / (x * z)) \ 1,u). [para(1281(a,1),1983(a,1,1))]. 2166 x \ (y * (z * T(z \ (y \ x),u))) = K((x \ (y * z)) \ 1,u). [para(1282(a,1),1984(a,1,2))]. 2167 (x * y) * K(((x * y) \ y) \ 1,z) = T(x,z) * y. [hyper(1119,a,1985,a),flip(a)]. 2168 ((x \ (y / z)) * x) * z = y * K((y \ (x * z)) \ 1,x). [hyper(64,a,1473,a(flip),b,1985,a)]. 2169 (x \ y) * K(((x \ y) \ (x \ 1)) \ 1,z) = x \ T(y,z). [hyper(64,a,1378,a(flip),b,1985,a),flip(a)]. 2170 x * (y * K((y \ (x \ 1)) \ 1,z)) = T(x * y,z). [hyper(121,a,1985,a(flip),b,1291,a(flip))]. 2171 (x * (y * z)) * T((x * (y * z)) \ (x * y),u) = (x * y) * K(L(z,y,x) \ 1,u). [para(18(a,2),1985(a,2,2,1,1))]. 2172 (x * y) * T((x * y) \ y,z) = K(x \ 1,z) * y. [para(11(a,1),1986(a,1,1,1,1)),flip(a)]. 2173 K(x,y) * z != K(u,w) * y | T(K(u,w) * y,x) = z. [para(2000(a,1),44(a,1)),flip(a)]. 2174 T(K(x,y),z) = 1 / T(K(y,x),u). [hyper(64,a,2128,a,b,2011,a)]. 2175 1 / K(x,y) = K(y,x). [hyper(1400,a,2174,a)]. 2176 K(x,y) * K(y,x) = 1. [hyper(917,a,2174,a(flip))]. 2177 K(x,y) \ 1 = K(y,x). [hyper(328,a,2175,a)]. 2178 K(x,y) \ 1 != z | K(y,x) = z. [para(2175(a,1),271(a,1,1)),flip(b)]. 2180 (x * K(y,z)) \ 1 = K(z,y) * (x \ 1). [para(2175(a,1),111(a,1,1)),flip(a)]. 2181 K(x,y) * (z \ 1) != u | (z * K(y,x)) \ 1 = u. [para(2175(a,1),201(a,1,1))]. 2184 (x \ 1) * (K(y,z) * (u \ 1)) = ((u * K(z,y)) * x) \ 1. [para(2180(a,1),515(a,1,2))]. 2185 (T(x,y) * (1 \ T(x,y))) / ((x / y) \ T(x,y)) = ((x / y) \ 1) \ x. [hyper(64,a,728,a,b,2048,a)]. 2186 T(x \ ((x / (x \ 1)) * y),x) = ((x \ 1) * (x / y)) \ x. [para(732(a,1),2111(a,1,1))]. 2187 K(x \ R(x,y,z),R(x,u,w)) = R(x,u,w) \ R(x,u,w). [para(412(a,1),1804(a,1,1,1)),flip(a)]. 2189 (x * y) * T((x * y) \ x,z) = x * K(z,y). [hyper(121,a,468,a,b,2104,a)]. 2190 (x * y) * T(x \ (x / y),z) = x * K(z,y). [para(320(a,1),2189(a,1,2,1))]. 2191 L(x,y,y \ 1) / x != z | a(x,y,y \ 1) = z. [para(418(a,2),2138(a,1))]. 2192 a(x \ 1,x,y) \ 1 != z | a(y,x,x \ 1) = z. [para(1228(a,2),2138(a,1))]. 2193 (x * y) * z != x * T(y,u) | K(((x * y) \ x) \ 1,u) = z. [para(1987(a,1),44(a,1)),flip(a)]. 2194 (1 / x) * (y * T(y \ x,z)) = K(((1 / x) * y) \ 1,z). [para(78(a,1),1989(a,1,2,2,1,2))]. 2195 x * (x / (x * T(y \ x,z))) = x / T(x / y,z). [para(2067(a,1),2141(a,1,2,1)),flip(a)]. 2196 ((x \ 1) \ y) * (x \ 1) = (x * y) * (y / (x * y)). [hyper(35,a,1302,a,b,2145,a)]. 2197 K(x,y) * (z * K((z \ K(y,x)) \ 1,u)) = T(K(x,y) * z,u). [para(2177(a,1),2170(a,1,2,2,1,1,2))]. 2198 x * (y * T(y \ (x \ y),z)) = K(x \ 1,z) * y. [hyper(64,a,1282,a(flip),b,2172,a)]. 2199 (x * y) * T((x * y) \ y,z) = (x * T(x \ 1,z)) * y. [para(1901(a,2),2172(a,2,1))]. 2200 ((x \ 1) * y) * (y / ((x \ 1) * y)) = (x \ y) * x. [hyper(64,a,1355,a(flip),b,2196,a),flip(a)]. 2201 x * (K(x \ 1,y) * (x \ z)) = K(x \ 1,y) * z. [para(1990(a,2),2198(a,1,2))]. 2202 ((x \ 1) * y) * R(x,x \ 1,y) = (x \ y) * x. [para(212(a,2),2200(a,1,2))]. 2203 K(x \ 1,y) * (x * z) = x * (K(x \ 1,y) * z). [para(9(a,1),2201(a,1,2,2)),flip(a)]. 2204 (1 / x) * (K(x,y) * ((1 / x) \ z)) = K((1 / x) \ 1,y) * z. [para(78(a,1),2201(a,1,2,1,1))]. 2205 L(x,y,K(x \ 1,z)) = x. [hyper(36,a,1642,a,b,2203,a(flip))]. 2206 R(x,y,K(x \ 1,z)) = x. [hyper(64,a,1647,a,b,2205,a)]. 2207 L(x \ 1,y,K(x,z)) = x \ 1. [para(326(a,1),2205(a,1,3,1))]. 2208 L(x,y,K(z,x)) = x. [para(2074(a,1),2205(a,1,3))]. 2209 R(x,y,K(z,x)) = x. [hyper(64,a,1647,a,b,2208,a)]. 2210 (K(x,y) * z) * y = K(x,y) * (z * y). [hyper(121,a,2208,a(flip),b,18,a(flip))]. 2211 L(L(x,y,z),u,K(w,x)) = L(x,y,z). [para(2208(a,1),30(a,1,1)),flip(a)]. 2212 K(x,y) * (y * z) = y * (K(x,y) * z). [para(2208(a,1),1642(a,1,1)),flip(a)]. 2213 K(x,y) * (y * z) = y * (z * K(x,y)). [para(2208(a,1),1643(a,1,1)),flip(a)]. 2214 (x * y) * K(z,x) = x * (y * K(z,x)). [para(2208(a,1),1645(a,1,1)),flip(a)]. 2215 L(x,y,K(x,z)) = x. [para(1930(a,1),2208(a,1,3))]. 2216 (T(x,y) * z) * K(u,x) = T(x,y) * (z * K(u,x)). [para(2209(a,1),526(a,1,1,1)),flip(a)]. 2217 (K(x,y) * z) * x = K(x,y) * (z * x). [hyper(121,a,2215,a(flip),b,18,a(flip))]. 2218 L(T(x,y),z,K(x,u)) = T(x,y). [para(2215(a,1),25(a,2,1))]. 2219 K(x,y) * (x * z) = x * (K(x,y) * z). [para(2215(a,1),1642(a,1,1)),flip(a)]. 2220 K(x,y) * (x * z) = x * (z * K(x,y)). [para(2215(a,1),1643(a,1,1)),flip(a)]. 2221 R(T(x,y),z,K(x \ 1,u)) = T(x,y). [para(2206(a,1),27(a,2,1))]. 2222 (K(x,y) * (z * x)) \ (K(x,y) * z) = L(x \ 1,x,z). [para(2207(a,1),1276(a,1,1)),flip(a)]. 2223 L(T(x \ 1,y),z,K(u,x)) = T(x \ 1,y). [para(2074(a,1),2218(a,1,3))]. 2224 R(T(x,y * K(z,u)),w,K(x \ 1,v5)) = T(x,y). [hyper(306,a,1478,a(flip),b,2221,a),flip(a)]. 2225 R(K(x,y),z,y) = K(x,y). [hyper(620,a,2210,a)]. 2226 L(K(x,y),z,y) = K(x,y). [hyper(36,a,1306,a,b,2212,a)]. 2227 R(K(x,y),y * z,u) * ((y * z) * u) = (y * (K(x,y) * z)) * u. [hyper(120,a,2212,a(flip),b,295,a),flip(a)]. 2228 R(x,y,z) * (K(u,R(x,y,z)) * (y * z)) = K(u,R(x,y,z)) * ((x * y) * z). [para(102(a,1),2212(a,1,2)),flip(a)]. 2230 K(x,y) * (y * z) != u | y * (z * K(x,y)) = u. [para(2212(a,2),670(a,1))]. 2231 x \ T(x * y,x) = y * K(x * y,x). [hyper(118,a,1893,a,b,2213,a(flip))]. 2232 R(K(x,y),z,x) = K(x,y). [hyper(620,a,2217,a)]. 2233 (K(x,y) * (z * x)) \ (K(x,y) * z) = L(x \ 1,x,K(x,y) * z). [para(2217(a,1),214(a,2,1)),flip(a)]. 2234 K(x,y) * (z * x) != u | (K(x,y) * z) * x = u. [para(2232(a,1),280(a,1,1))]. 2235 x * (K(x,y) * (x \ z)) = K(x,y) * z. [hyper(314,a,2219,a),flip(a)]. 2236 K(x,y) * (x * z) != u | x * (z * K(x,y)) = u. [para(2219(a,2),670(a,1))]. 2237 (x * K(y \ 1,z)) \ ((x * y) * K(y \ 1,z)) = y. [hyper(1436,a,2224,a(flip))]. 2238 T(x,y) * (z * K(x * z,x)) = T(T(x,y) * z,x). [hyper(64,a,1903,a(flip),b,2216,a),flip(a)]. 2239 (x * K(y \ 1,z)) * y = (x * y) * K(y \ 1,z). [hyper(135,a,2237,a)]. 2241 T(x,y) * (x \ T(x * z,x)) = T(T(x,y) * z,x). [para(2231(a,2),2238(a,1,2))]. 2242 ((x * y) * K(y \ 1,z)) / (y * K(y \ 1,z)) = R(x,K(y \ 1,z),y). [hyper(119,a,2239,a(flip),b,623,a)]. 2243 x \ T(y,z) != (u \ y) * K(y,z) | L(u,u \ y,K(y,z)) = x. [para(1919(a,1),49(a,1)),flip(a)]. 2244 (x * y) * R(K(z,u),x,y) = (x * K(z,u)) * y. [para(1668(a,1),1964(a,1,1)),flip(a)]. 2246 (x * K(y,z)) * z = (x * z) * K(y,z). [para(2225(a,1),2244(a,1,2)),flip(a)]. 2247 (x * K(y,z)) * y = (x * y) * K(y,z). [para(2232(a,1),2244(a,1,2)),flip(a)]. 2249 T(x,y \ 1) \ (y \ T(x,y \ 1)) = x \ (y \ x). [para(2045(a,1),2146(a,1,1))]. 2250 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(701(a,1),2249(a,2,2))]. 2251 x * K((x \ (y * z)) \ 1,y) = z * ((y \ (z \ x)) * y). [hyper(1372,a,2168,a),flip(a)]. 2252 T(x,y \ T(z,u)) = T(x,y \ z). [para(2169(a,1),1478(a,1,2))]. 2253 K(x,y \ T(z,u)) = K(x,y \ z). [para(2169(a,1),1993(a,1,2))]. 2254 T(x,y \ (z * u)) = T(x,y \ (u * z)). [para(792(a,1),2252(a,1,2,2))]. 2255 T(x,y \ ((z / u) \ 1)) = T(x,y \ ((u \ z) \ 1)). [para(1159(a,1),2252(a,1,2,2))]. 2256 K(x,y \ T(z,u)) = K(x,z / y). [hyper(306,a,1954,a,b,2253,a),flip(a)]. 2257 K(x,y \ (z / u)) = K(x,y \ (u \ z)). [para(108(a,1),2253(a,1,2,2)),flip(a)]. 2258 K(x,y \ ((z \ u) \ u)) = K(x,y \ z). [para(107(a,1),2253(a,1,2,2))]. 2259 K(x,y \ ((z * u) * R(w,z,u))) = K(x,y \ ((w * z) * u)). [para(822(a,1),2253(a,1,2,2))]. 2260 K(x,(y * z) / u) = K(x,u \ (z * y)). [hyper(64,a,1679,a(flip),b,2256,a),flip(a)]. 2261 T(x,K(y,z) \ (u \ (w * v5))) = T(x,u \ (v5 * w)). [hyper(1548,a,2254,a)]. 2262 T(x,(y * z) \ ((u * z) * y)) = T(x,L(T(u,z),z,y)). [para(224(a,1),2254(a,1,2)),flip(a)]. 2264 K(x,y \ (z * u)) != w | K(x,y \ (u * z)) = w. [para(2260(a,1),2010(a,1))]. 2266 T(x,y \ (z * u)) != w | T(x,y \ (u * z)) = w. [para(2261(a,1),1528(a,1))]. 2267 T(x,(y * z) \ ((u * z) * y)) != w | T(x,L(u,z,y)) = w. [para(2262(a,2),1522(a,1))]. 2268 (x \ 1) * ((y \ 1) * K(z,u)) = ((y * K(u,z)) * x) \ 1. [hyper(670,a,2184,a)]. 2269 T(x \ ((x * x) * y),x) = ((x \ 1) * (x / y)) \ x. [para(323(a,1),2186(a,1,1,2,1))]. 2271 K(x \ R(x,y,z),R(x,u,w)) != v5 | 1 = v5. [para(2187(a,2),202(a,1))]. 2273 (1 / x) * (y * T(y \ x,z)) = K(((x \ 1) * y) \ 1,z). [hyper(306,a,1356,a(flip),b,2194,a),flip(a)]. 2274 K((((x \ y) \ 1) * (x \ 1)) \ 1,z) = (1 / (x \ y)) * (x \ T(y,z)). [para(1378(a,1),2273(a,1,2)),flip(a)]. 2275 ((K(x,y) * z) * (z \ x)) / T(T(x,y),a(K(x,y),z,z \ x)) = a(K(x,y),z,z \ x). [hyper(119,a,1928,a(flip),b,106,a)]. 2276 (x / L(x,y,y \ 1)) \ 1 = a(y,y \ 1,x \ 1). [hyper(64,a,1101,a(flip),b,2161,a),flip(a)]. 2277 (L(x,y,y \ 1) \ x) \ 1 = a(y,y \ 1,x \ 1). [para(835(a,1),2276(a,1,1))]. 2278 a(x,x \ 1,y \ 1) = a(x \ 1,x,y) \ 1. [para(1107(a,1),2277(a,1,1)),flip(a)]. 2279 a(x,x \ 1,y \ 1) = a(y,x,x \ 1). [hyper(306,a,2152,a(flip),b,2278,a),flip(a)]. 2280 a(x,x \ 1,y \ 1) != z | a(y,x,x \ 1) = z. [para(2278(a,2),2192(a,1))]. 2281 a(x \ 1,y,y \ 1) = a(y,y \ 1,x). [para(326(a,1),2279(a,1,3)),flip(a)]. 2282 a(T(x,y),T(x \ 1,y),z \ 1) = a(z,T(x,y),T(x,y) \ 1). [para(2071(a,2),2279(a,1,2))]. 2283 a(x,x \ 1,y) != z | a(y \ 1,x,x \ 1) = z. [para(326(a,1),2280(a,1,3))]. 2284 (x \ 1) \ ((y \ 1) \ ((y \ 1) / x)) = (y \ (y / (x \ 1))) \ x. [para(1357(a,1),1590(a,1,2))]. 2285 (L(1 / x,y,z) * x) * (x \ u) = u * L(u \ (x \ u),y,z). [hyper(1207,a,1620,a),flip(a)]. 2286 (x * y) * T((x * y) \ (z * y),u) = (x * T(x \ z,u)) * y. [para(537(a,1),1633(a,2,1))]. 2287 K(R(x \ R(x,y,z),x,y * z),u) = K(a(x,y,z),T(u,w)). [para(1655(a,2),2008(a,2,1)),flip(a)]. 2289 K(R(x \ R(x,y,z),x,y * z),u) != w | K(a(x,y,z),u) = w. [para(2287(a,2),1963(a,1))]. 2290 (x * y) * L((x * y) \ y,z,u) = (x * L(x \ 1,z,u)) * y. [para(737(a,1),1697(a,2,1))]. 2291 ((x / y) * T((x / y) \ z,u)) * y = x * T(x \ (z * y),u). [para(537(a,1),1705(a,1,1))]. 2292 K(x,y) * (K(y,x) * T(K(y,x) \ z,u)) = T(K(x,y) * z,u). [para(1985(a,2),2197(a,1,2))]. 2293 (1 / x) * (K(x,y) * ((1 / x) \ z)) = K(x,y) * z. [para(78(a,1),2204(a,2,1,1))]. 2294 K(x,y) * ((1 / x) * z) = (1 / x) * (K(x,y) * z). [para(9(a,1),2293(a,1,2,2)),flip(a)]. 2296 (K(x,y) * z) \ (K(x,y) * ((1 / x) * z)) = T(1 / x,K(x,y) * z). [hyper(118,a,2294,a,b,106,a)]. 2298 a(T(x,y),T(x \ 1,y),z \ 1) = a(z,T(x,y),T(x \ 1,y)). [para(2071(a,2),2282(a,2,3))]. 2299 (x * L(x \ 1,y,z)) * (x \ u) = u * L(u \ (x \ u),y,z). [para(737(a,1),2285(a,1,1))]. 2300 x * (y * T(y \ (x \ (z * y)),u)) = (x * T(x \ z,u)) * y. [hyper(64,a,1282,a(flip),b,2286,a)]. 2301 (x * y) * L(L(T(x \ 1,y),x,y),z,u) = (x * L(x \ 1,z,u)) * y. [para(997(a,2),2290(a,1,2,1))]. 2302 K(x,y) \ T(K(x,y) * z,u) = K(y,x) * T(K(y,x) \ z,u). [hyper(125,a,2292,a)]. 2303 T(K(x,y) * z,u) != K(x,y) * w | K(y,x) * T(K(y,x) \ z,u) = w. [para(2292(a,1),44(a,1))]. 2304 (x * L(x \ (y \ x),z,u)) / (y \ x) = y * L(y \ 1,z,u). [hyper(132,a,2299,a)]. 2305 x * L(x \ 1,y,y / (x \ y)) = y / y. [hyper(36,a,1134,a(flip),b,2299,a),flip(a)]. 2306 T(x,L(y \ (z \ y),u,w) * y) = T(x,(z * L(z \ 1,u,w)) * (z \ y)). [para(2299(a,2),1479(a,1,2)),flip(a)]. 2307 x / x = y * L(y \ 1,x,y). [para(75(a,1),2305(a,1,2,3)),flip(a)]. 2308 L(x \ 1,y,x) = x \ 1. [hyper(676,a,2307,a),flip(a)]. 2309 x * L(x \ 1,y,x) = 1. [hyper(204,a,2307,a),flip(a)]. 2310 (x * y) / (x \ 1) = x * (y / (x \ 1)). [hyper(196,a,2308,a(flip),b,97,a(flip))]. 2311 (x * y) * (x \ 1) = x * (y * (x \ 1)). [hyper(121,a,2308,a(flip),b,18,a(flip))]. 2312 L(L(x \ 1,y,z),u,x) = L(x \ 1,y,z). [para(2308(a,1),30(a,1,1)),flip(a)]. 2313 (x * y) * L(x \ 1,z,u) = x * (y * L(x \ 1,z,u)). [para(2308(a,1),527(a,1,2,1))]. 2315 ((x / y) * (y * L(x \ 1,z,x))) \ 1 = a(x / y,y,L(x \ 1,z,x)). [para(2309(a,1),84(a,1,2))]. 2316 (x \ 1) \ (y * x) = x * (y / (x \ 1)). [hyper(2085,a,2310,a)]. 2317 (x * (y * (x \ 1))) * L((x * y) \ ((x * y) / (x \ 1)),z,u) = (x * y) * ((x \ 1) * L((x \ 1) \ 1,z,u)). [para(2311(a,1),1418(a,1,1))]. 2318 L(x / (y \ 1),y,y \ 1) = x * y. [hyper(723,a,2316,a)]. 2319 (x \ 1) * (((x \ 1) \ y) * x) = y * x. [hyper(121,a,2088,a,b,2316,a)]. 2320 (x * (y \ 1)) * y = L(x,y,y \ 1). [para(11(a,1),2318(a,1,1)),flip(a)]. 2321 (x / (y \ 1)) \ L(x / (y \ 1),y,y \ 1) = ((x * y) \ (x / (y \ 1))) \ 1. [para(2318(a,1),1225(a,1,1,1)),flip(a)]. 2322 L(x,y \ 1,y) = L(x,y,y \ 1). [hyper(2144,a,2320,a)]. 2323 x * ((x \ 1) * y) = L(y,x,x \ 1). [hyper(2140,a,2320,a)]. 2324 L(x,y,y \ 1) / y = x * (y \ 1). [hyper(132,a,2320,a)]. 2325 L((x \ 1) \ y,x,x \ 1) = x * y. [hyper(613,a,2322,a),flip(a)]. 2326 (x \ 1) \ L(y,x \ 1,x) = x * y. [hyper(118,a,2322,a,b,714,a)]. 2327 L(x,y,y \ 1) \ x = a(y,y \ 1,x). [para(2322(a,1),1102(a,1,1))]. 2328 L(x,y,y \ 1) * a(y,y \ 1,x) = x. [para(2322(a,1),1103(a,1,1))]. 2329 L(x * y,x,x \ 1) != z | x * L(y,x,x \ 1) = z. [para(2322(a,1),1166(a,1))]. 2330 x \ L(x,y,y \ 1) = a(x,y \ 1,y). [para(2322(a,1),2156(a,1,2))]. 2331 x \ ((x \ 1) * y) = (x \ 1) * (x \ y). [hyper(118,a,719,a(flip),b,2323,a)]. 2332 x * (L(x,y,z) * ((x \ 1) * u)) = L(x,y,z) * L(u,x,x \ 1). [hyper(121,a,2323,a(flip),b,1597,a),flip(a)]. 2333 L(x \ 1,y,y \ 1) = y * ((x * y) \ 1). [para(515(a,1),2323(a,1,2)),flip(a)]. 2334 (x * (y \ 1)) * y != z | L(x,y,y \ 1) = z. [para(2324(a,1),256(a,1,1)),flip(b)]. 2335 ((x \ 1) * y) * x = (x \ 1) * (y * x). [para(9(a,1),2319(a,1,2,1)),flip(a)]. 2336 a(x \ 1,x,y) = a(x,x \ 1,y). [hyper(64,a,1107,a(flip),b,2327,a)]. 2337 x * (y * ((x * y) \ 1)) = a(y,y \ 1,x). [hyper(64,a,2160,a,b,2336,a)]. 2338 a(x,x \ 1,y) \ 1 = a(y,x,x \ 1). [para(2336(a,1),2152(a,1,1))]. 2340 L(x,y,y \ 1) \ x != z | a(y,y \ 1,x) = z. [para(2328(a,1),286(a,1,2)),flip(b)]. 2341 a(x,y \ 1,y) = a(x,y,y \ 1). [hyper(2138,a,2330,a),flip(a)]. 2342 a(x,y \ 1,y) != z | a(x,y,y \ 1) = z. [para(2330(a,1),2138(a,1))]. 2343 (x \ 1) * (x \ ((x \ 1) \ y)) = x \ y. [para(10(a,1),2331(a,1,2)),flip(a)]. 2344 (x \ 1) * (x \ K(x,y)) = x \ (x \ K(x,y)). [para(2019(a,1),2331(a,1,2)),flip(a)]. 2345 R(x \ 1,y,x) = x \ 1. [hyper(620,a,2335,a)]. 2346 L(x,y,x \ 1) = x. [hyper(595,a,2335,a)]. 2347 ((x \ 1) * (y * x)) \ x = x \ (((x \ 1) * y) \ x). [para(2335(a,1),349(a,1,1))]. 2348 L(x,y,L(x,z,u) \ 1) = x. [hyper(145,a,2346,a)]. 2349 L(R(x,y,z),u,x \ 1) = R(x,y,z). [para(2346(a,1),29(a,1,1)),flip(a)]. 2350 L(L(x,y,z),u,x \ 1) = L(x,y,z). [para(2346(a,1),30(a,1,1)),flip(a)]. 2351 x != y | L(z,u,x \ 1) != y | x = z. [para(2346(a,1),42(a,1))]. 2352 (L(x,y,z) \ 1) * (u * T(x,(L(x,y,z) \ 1) * u)) = x * ((L(x,y,z) \ 1) * u). [para(2348(a,1),735(a,2,1))]. 2353 (x \ 1) * (y * T(R(x,z,u),(x \ 1) * y)) = R(x,z,u) * ((x \ 1) * y). [para(2349(a,1),735(a,2,1))]. 2354 (x \ 1) * (y * T(L(x,z,u),(x \ 1) * y)) = L(x,z,u) * ((x \ 1) * y). [para(2350(a,1),735(a,2,1))]. 2355 a(x,y,y \ 1) \ 1 = a(y,y \ 1,x). [hyper(331,a,2338,a)]. 2357 (x \ 1) \ (x \ y) = x \ ((x \ 1) \ y). [hyper(125,a,2343,a)]. 2358 L(x,y \ 1,y) != z | L(x,y,y \ 1) = z. [para(2135(a,1),2334(a,1))]. 2359 x * ((x \ 1) * y) != z | L(y,x,x \ 1) = z. [para(2086(a,1),2334(a,1))]. 2360 a(x \ 1,x,y) != z | a(x,x \ 1,y) = z. [para(1107(a,1),2340(a,1))]. 2362 x * (y * ((x * y) \ 1)) != z | a(y,y \ 1,x) = z. [para(2160(a,2),2360(a,1))]. 2363 (x / (y * x)) * ((x \ 1) \ x) = x * (x \ (((x \ 1) * y) \ x)). [para(2347(a,1),33(a,2,2))]. 2364 x \ (y * L(x \ 1,z,u)) = (x \ y) * L(x \ 1,z,u). [hyper(708,a,2313,a)]. 2365 (x * T(x \ y,z)) * u != x * w | u * T(u \ (x \ (y * u)),z) = w. [para(2300(a,1),44(a,1))]. 2366 (K(x,y) * T(K(x,y) \ z,u)) * K(y,x) = T(z * K(y,x),u). [hyper(120,a,2302,a(flip),b,964,a)]. 2367 ((x \ 1) * (x * (y \ (x \ 1)))) / (y \ (x \ 1)) = y * L(y \ 1,x,x \ 1). [para(2325(a,1),2304(a,1,1,2))]. 2368 (x \ (x / y)) * ((x \ 1) \ x) = x * (x \ (((x \ 1) * y) \ x)). [para(879(a,1),2363(a,1,1))]. 2369 x * (x \ (((x \ 1) * y) \ x)) = (x \ (x / y)) * (x * x). [para(911(a,1),2368(a,1,2)),flip(a)]. 2370 (x \ (x / y)) * (x * x) = ((x \ 1) * y) \ x. [hyper(263,a,2369,a),flip(a)]. 2372 (x \ (x / (y \ x))) * (x * x) = x \ (y * ((x \ 1) \ x)). [hyper(306,a,518,a(flip),b,2370,a),flip(a)]. 2373 (x \ (x * (y / x))) * (x * x) = ((x \ 1) * (x / y)) \ x. [para(890(a,1),2370(a,1,1,2))]. 2374 x \ (y * ((x \ 1) \ x)) = (x \ y) * (x * x). [para(75(a,1),2372(a,1,1,2)),flip(a)]. 2376 x \ (y * (x * x)) = (x \ y) * (x * x). [para(911(a,1),2374(a,1,2,2))]. 2377 ((x \ y) * (x * x)) * x = T(y * (x * x),x). [hyper(120,a,2376,a(flip),b,827,a)]. 2378 T((x * y) * L(y,y,x),y) = ((y \ x) * (y * y)) * y. [para(93(a,2),2377(a,2,1)),flip(a)]. 2379 ((x \ 1) * (x / y)) \ x = (y / x) * (x * x). [para(9(a,1),2373(a,1,1)),flip(a)]. 2380 T(x \ ((x * x) * y),x) = (y / x) * (x * x). [hyper(64,a,2269,a,b,2379,a)]. 2382 T((x \ ((x * x) * y)) * x,x) = ((y / x) * (x * x)) * x. [para(2380(a,1),819(a,2,1))]. 2383 T(T((x * x) * y,x),x) = ((y / x) * (x * x)) * x. [para(793(a,2),2382(a,1,1))]. 2384 (L(x,y,z) * (z * y)) \ (x * (z * y)) = a(z,y,T(x,z * y)). [para(735(a,1),222(a,1,1))]. 2385 R(L(x,y,z),z * y,(z * y) \ (x * (z * y))) \ (x * (z * y)) = (z * y) * a(z,y,T(x,z * y)). [para(2384(a,1),1147(a,2,2))]. 2386 (L(x,y,z) * (z * y)) \ (x * (z * y)) = a(z,y,T(x,y * z)). [para(1479(a,1),2384(a,2,3))]. 2387 ((x * y) \ 1) \ (((x * K(z,u)) * y) \ 1) = L(K(u,z),x \ 1,y \ 1). [para(2268(a,1),559(a,1,2))]. 2388 (x * (y * z)) \ ((x * T(y,z)) * T(z,y)) = a(x,T(y,z),T(z,T(y,z))). [para(894(a,2),918(a,2,3))]. 2390 L(x \ y,x,x \ 1) \ (x \ y) = ((y \ 1) * x) * (x \ y). [para(561(a,1),1036(a,2,1))]. 2391 a(x,x \ 1,x \ y) = ((y \ 1) * x) * (x \ y). [hyper(2340,a,2390,a)]. 2392 ((x \ 1) * y) \ (x \ y) = ((y \ 1) * x) * (x \ y). [para(719(a,1),2390(a,1,1))]. 2393 (x \ y) \ (((x \ 1) * y) \ (x \ y)) = ((x \ 1) * y) \ 1. [para(719(a,1),1201(a,2,1))]. 2394 (x \ y) \ (((x \ 1) * y) \ (x \ y)) = (y \ 1) * x. [hyper(306,a,561,a(flip),b,2393,a),flip(a)]. 2395 x * ((x \ y) * ((z * ((x \ y) \ u)) / z)) = y * ((z * (y \ (x * u))) / z). [hyper(121,a,1236,a(flip),b,94,a),flip(a)]. 2396 (x * y) * L((x * y) \ (y * z),u,w) = y * (T(x,y) * L(T(x,y) \ z,u,w)). [para(610(a,1),1257(a,1,2,1))]. 2397 L((x / y) * y,y,x / y) = ((x / y) * (y * x)) / x. [para(12(a,1),1284(a,1,2)),flip(a)]. 2398 L((x / y) * y,y,x / y) = x / ((x / (y * x)) * y). [hyper(306,a,733,a(flip),b,2397,a),flip(a)]. 2399 L((x / y) * y,y,x / y) = x / ((x \ (x / y)) * y). [para(879(a,1),2398(a,2,2,1))]. 2400 x / ((x \ (x / y)) * y) = L(x,y,x / y). [para(12(a,1),2399(a,1,1)),flip(a)]. 2401 L(x,y,x / y) \ x = (x \ (x / y)) * y. [hyper(189,a,2400,a)]. 2402 L(x,y,x / y) \ x = y * (x \ (x / y)). [hyper(306,a,1182,a(flip),b,2401,a),flip(a)]. 2403 (x * y) * R((x * y) \ (y * z),u,w) = y * (T(x,y) * R(T(x,y) \ z,u,w)). [hyper(121,a,1288,a(flip),b,223,a)]. 2404 ((x / y) \ 1) \ (y / x) = (x / y) * (y / x). [para(914(a,1),1361(a,1,2))]. 2405 ((x * y) / y) * (y / (x * y)) = (x \ 1) \ (y / (x * y)). [para(11(a,1),2404(a,1,1,1)),flip(a)]. 2406 ((x * y) / y) * (y / (x * y)) = (x \ 1) \ (y \ (y / x)). [para(879(a,1),2405(a,2,2))]. 2407 (x \ 1) \ (y \ (y / x)) = x * (y / (x * y)). [para(11(a,1),2406(a,1,1)),flip(a)]. 2408 (x \ 1) \ (y \ (y / x)) = x * (y \ (y / x)). [para(879(a,1),2407(a,2,2))]. 2409 x * ((y \ 1) \ ((y \ 1) / x)) = (y \ (y / (x \ 1))) \ x. [hyper(64,a,2284,a(flip),b,2408,a),flip(a)]. 2410 R(L(x \ 1,x,y),z,u) * (x * y) = (x * R(x \ 1,z,u)) * y. [para(938(a,1),1415(a,1,1,1))]. 2411 x \ (y * (L(y,z,u) * (L(y,z,u) \ x))) = T(y,L(y,z,u) \ x). [para(1593(a,1),1426(a,1,2))]. 2412 (x \ y) / (x \ ((x \ 1) * y)) = L(x,x \ 1,y). [para(69(a,1),1455(a,1,1,2))]. 2413 (x \ y) / ((x \ 1) * (x \ y)) = L(x,x \ 1,y). [para(2331(a,1),2412(a,1,2))]. 2414 L(x,x \ 1,x \ y) = L(x,x \ 1,y). [hyper(996,a,2413,a)]. 2415 L(x,x \ 1,x * y) = L(x,x \ 1,y). [para(9(a,1),2414(a,1,3)),flip(a)]. 2416 (x * y) \ ((x \ 1) \ (y * x)) = L(x,x \ 1,y). [hyper(64,a,2143,a,b,2415,a)]. 2417 (x * y) \ (x * (y / (x \ 1))) = L(x,x \ 1,y). [para(2316(a,1),2416(a,1,2))]. 2418 1 / R(T(x,(1 / x) * y),x \ 1,y) = (((1 / x) * y) \ y) \ 1. [para(325(a,1),1571(a,1,2,2))]. 2419 T(x * L(y,z,u),y) = T(x,y) * L(y,z,u). [hyper(41,a,2052,a,b,2081,a)]. 2420 T(x * y,y) * L(y,y,x) = ((y \ x) * (y * y)) * y. [hyper(64,a,2378,a(flip),b,2419,a),flip(a)]. 2421 (T(x,y) * y) * L(y,y,x) = ((y \ x) * (y * y)) * y. [para(819(a,1),2420(a,1,1))]. 2422 (((x \ y) * x) * x) * L(x,x,y) = ((x \ y) * (x * x)) * x. [para(793(a,1),2421(a,1,1,1))]. 2424 R(x,y,T(z,y)) != u | ((x * y) * T(z,y)) / (z * y) = u. [para(2095(a,1),2073(a,1))]. 2426 (x / y) \ L(x / y,y,y \ 1) = ((x / y) * (y * (x \ 1))) \ 1. [hyper(306,a,547,a,b,2133,a),flip(a)]. 2427 (x * (y \ 1)) * ((x / y) \ 1) = (x / y) \ (x * (y \ 1)). [para(2130(a,1),2133(a,1,2)),flip(a)]. 2428 L(x \ 1,x,K(x,y) * z) = L(x \ 1,x,z). [hyper(64,a,2222,a(flip),b,2233,a),flip(a)]. 2430 L(x \ 1,x,y * K(x,z)) = L(x \ 1,x,y). [para(244(a,1),2428(a,1,3))]. 2431 L(R(x \ 1,y,z),x,u) * (x * u) = (x * R(x \ 1,y,z)) * u. [para(29(a,1),2410(a,1,1))]. 2432 T(x,L(x,y,z) \ u) = u \ (x * u). [para(10(a,1),2411(a,1,2,2)),flip(a)]. 2433 T(x,L(x,y,z) \ u) = T(x,u). [hyper(306,a,22,a,b,2432,a),flip(a)]. 2435 T(x,x * (L(x,y,z) \ u)) = T(x,u). [hyper(513,a,2433,a)]. 2436 T(x,L(x,y,z) * u) = T(x,x * u). [para(9(a,1),2435(a,1,2,2)),flip(a)]. 2437 K(x,L(x,y,z) * u) = x \ T(x,x * u). [hyper(118,a,2436,a(flip),b,1892,a(flip)),flip(a)]. 2438 K(x,L(x,y,z) * u) = K(x,x * u). [hyper(306,a,1891,a,b,2437,a),flip(a)]. 2439 K(x,L(x,y,z) * u) = K(x,u). [hyper(306,a,1811,a(flip),b,2438,a),flip(a)]. 2440 K(x,y * L(x,z,u)) = K(x,y). [hyper(1979,a,2439,a)]. 2441 K(x,L(x,y,z) \ u) = K(x,u). [para(10(a,1),2439(a,1,2)),flip(a)]. 2442 K(x,y * (z * x)) = K(x,y * z). [para(93(a,1),2440(a,1,2))]. 2443 K(x,x \ (y * (z * x))) = K(x,y * z). [hyper(2027,a,2442,a)]. 2444 K(x,y * (x * x)) = K(x,y). [hyper(306,a,1809,a(flip),b,2442,a),flip(a)]. 2445 K(x,(x * x) * y) = K(x,y). [hyper(1979,a,2444,a)]. 2446 1 / R(T(x,(x \ 1) * y),x \ 1,y) = (((1 / x) * y) \ y) \ 1. [para(325(a,1),2418(a,1,2,1,2,1))]. 2447 (x * (y \ 1)) \ (x / y) = (x / y) * (y * (x \ 1)). [hyper(40,a,2132,a(flip),b,2426,a(flip))]. 2448 L(R(x \ 1,y,z),x,x \ u) * u = (x * R(x \ 1,y,z)) * (x \ u). [hyper(314,a,2431,a)]. 2449 (((1 / x) * (y * x)) \ (y * x)) \ 1 = 1 / R(T(x,y),x \ 1,y * x). [para(1263(a,1),2446(a,1,2,1)),flip(a)]. 2450 (x * (T(y,z) * T(y,z))) \ ((x * R(T(y,z),u,y)) * T(y,z)) = a(x,R(T(y,z),u,y),T(y,z)). [para(810(a,1),540(a,1,1,2,2))]. 2451 (x * y) * R((x * y) \ (z * y),u,w) = (R(z / x,u,w) * x) * y. [hyper(1209,a,1414,a)]. 2452 (L((x * y) / x,z,u) * x) * y = (x * y) * L(y,z,u). [hyper(1235,a,1417,a),flip(a)]. 2453 (x * y) * L((x * y) \ (z * y),u,w) = (L(z / x,u,w) * x) * y. [hyper(1207,a,1417,a)]. 2454 (x * L(y,z,u)) * y = (x * y) * L(y,z,u). [para(739(a,1),2452(a,1,1))]. 2455 (x * y) / L(y,z,u) = (x / L(y,z,u)) * y. [hyper(693,a,2454,a)]. 2456 ((x / L(y,z,u)) * y) \ (x * y) = L(y,z,u). [hyper(655,a,2454,a)]. 2457 (x * L(y,z,u)) / y = (x / y) * L(y,z,u). [hyper(119,a,150,a(flip),b,2454,a)]. 2458 ((x / y) * L(y,z,u)) \ (x * L(y,z,u)) = y. [hyper(118,a,150,a(flip),b,2454,a)]. 2459 ((x * y) * z) * L(z,y,x) = (x * (y * z)) * z. [para(93(a,1),2454(a,1,1)),flip(a)]. 2460 ((x * (y \ L(y,z,u))) / L(y,z,u)) * y = R(x,y \ L(y,z,u),y). [hyper(64,a,556,a(flip),b,2455,a),flip(a)]. 2462 L(x,y,z) = ((z * y) * x) \ ((z * (y * x)) * x). [para(186(a,1),2456(a,1,1,1)),flip(a)]. 2463 ((x * y) / z) * L(z,y,x) = (x * (y * z)) / z. [para(93(a,1),2457(a,1,1)),flip(a)]. 2464 x \ (y * L(z,u,w)) != z | (y / z) * L(z,u,w) = x. [para(2458(a,1),49(a,1)),flip(a)]. 2465 L(x,x,x \ y) = L(x,x,y). [hyper(35,a,2422,a,b,2459,a),flip(a)]. 2466 L(x,x,x * y) = L(x,x,y). [para(9(a,1),2465(a,1,3)),flip(a)]. 2467 L(R(x,y,z),x,x \ u) = R(L(x,x,u),y,z). [para(2465(a,1),29(a,1,1)),flip(a)]. 2468 L(L(x,y,z),x,x \ u) = L(L(x,x,u),y,z). [para(2465(a,1),30(a,1,1)),flip(a)]. 2469 L(R(x,y,z),x,x \ u) = L(R(x,y,z),x,u). [hyper(306,a,29,a(flip),b,2467,a),flip(a)]. 2470 L(T(L(x,y,z),u),x,x \ w) = T(L(L(x,x,w),y,z),u). [para(2468(a,1),25(a,2,1))]. 2471 ((x * y) * z) * L(z,y,x) != u | (x * (y * z)) * z = u. [para(2462(a,2),262(a,1,2)),flip(b)]. 2472 (x * y) \ (((x * y) / L(z,y,x)) * z) = ((x * (y * z)) / z) \ (x * y). [para(2463(a,1),732(a,1,1)),flip(a)]. 2473 L(T(L(x,y,z),u),x,x \ w) = L(T(L(x,x,w),u),y,z). [hyper(306,a,25,a,b,2470,a),flip(a)]. 2474 L(T(L(x,y,z),u),x,x \ w) = L(L(T(x,u),x,w),y,z). [para(25(a,2),2473(a,2,1))]. 2475 L(L(T(x,y),z,u),x,x \ w) = L(L(T(x,y),x,w),z,u). [para(25(a,2),2474(a,1,1))]. 2476 L(T(x,y),x,x \ z) = L(T(x,y),x,z). [hyper(145,a,2475,a)]. 2477 L(T(x,y),x,x * z) = L(T(x,y),x,z). [para(9(a,1),2476(a,1,3)),flip(a)]. 2478 x * (y * L(y \ (x \ y),z,u)) = (x * L(x \ 1,z,u)) * y. [hyper(64,a,2290,a(flip),b,1419,a),flip(a)]. 2479 (x \ 1) * (y * L(y \ ((x \ 1) \ 1),z,u)) = ((x \ 1) * y) * L((y \ 1) * x,z,u). [para(561(a,1),1419(a,1,2,1)),flip(a)]. 2480 R(x,y,z) * ((x * u) * L((x * u) \ (x * (R(x,y,z) \ u)),w,v5)) = (R(x,y,z) * L(R(x,y,z) \ 1,w,v5)) * (x * u). [para(1447(a,1),2478(a,1,2,2,1,2))]. 2481 x * ((x * L(x \ 1,y,z)) * (x \ u)) = (x * L(x \ 1,y,z)) * u. [para(2299(a,2),2478(a,1,2))]. 2482 (x * y) * ((z * ((x * y) \ x)) / z) = x * K(z,y \ 1). [para(1769(a,1),1431(a,2,2))]. 2483 (x * (R(x,y,z) * u)) \ ((x * R(x,y,z)) * u) = a(R(x,y,z),x,u). [para(233(a,1),1449(a,1,2,1))]. 2484 x \ (y * L(y \ (x * z),u,w)) = (x \ y) * L((x \ y) \ z,u,w). [hyper(125,a,1618,a)]. 2485 (x / y) * (y * L(y \ ((x / y) \ z),u,w)) = x * L(x \ z,u,w). [para(10(a,1),1619(a,2,2,1,2))]. 2486 (R(1 / (x / y),z,u) * (x / y)) * y = R(y / x,z,u) * x. [para(7(a,1),1623(a,2,1,1,1))]. 2487 ((x / y) * R((x / y) \ 1,z,u)) * y = R(y / x,z,u) * x. [para(747(a,1),2486(a,1,1))]. 2488 (x / y) * R((x / y) \ 1,z,u) = (x * R(x \ y,z,u)) / y. [hyper(119,a,747,a(flip),b,2487,a),flip(a)]. 2489 ((x / y) / x) * R(((x / y) / x) \ 1,z,u) = x / ((x / R((x / y) \ x,z,u)) * y). [hyper(306,a,733,a(flip),b,2488,a),flip(a)]. 2490 (((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(20(a,2),2488(a,1,1)),flip(a)]. 2491 (x / (y * x)) * R((x / (y * x)) \ 1,z,u) = (x * R(T(y,x),z,u)) / (y * x). [para(22(a,2),2488(a,2,1,2,1))]. 2492 ((x \ y) / y) * R(((x \ y) / y) \ 1,z,u) = ((x \ y) * R(T(x,y),z,u)) / y. [para(403(a,2),2488(a,2,1,2,1))]. 2493 (((x * (y * z)) / (x * y)) * x) * y = x * (y * R(z,x,y)). [hyper(306,a,528,a(flip),b,1625,a),flip(a)]. 2494 x * (T((x \ y) * z,x) / z) = ((x \ (y * z)) * x) / z. [hyper(64,a,1632,a(flip),b,1693,a),flip(a)]. 2495 x * (y \ T(y * (x \ z),x)) = ((x \ (z * y)) * x) / y. [para(964(a,1),2494(a,1,2))]. 2496 ((x \ (y / (z \ 1))) * x) * (z \ 1) = ((x \ (y * z)) * x) / z. [hyper(64,a,1692,a,b,2495,a)]. 2497 (x \ 1) * ((y \ ((x \ 1) \ z)) * y) = ((y \ (z * x)) * y) / x. [hyper(1372,a,2496,a)]. 2498 (x \ ((y \ (x * z)) * y)) * x = (y \ (z * x)) * y. [hyper(120,a,1630,a(flip),b,2497,a(flip))]. 2500 (x * K(y,T(z,u))) * (w * K(v5,v6)) = (x * K(y,z)) * (K(v5,v6) * w). [hyper(652,a,2009,a)]. 2501 (x * (T(x,y) \ x)) \ (x * z) = x * ((x * (T(x,y) \ x)) \ z). [para(1806(a,1),2163(a,1,2,1)),flip(a)]. 2502 x * ((x * (T(x,y) \ x)) \ ((T(x,y) \ x) * z)) = L(z,T(x,y) \ x,x). [hyper(597,a,2501,a),flip(a)]. 2503 (T(x,y) * T(x,y)) / ((x / y) \ T(x,y)) = ((x / y) \ 1) \ x. [para(66(a,1),2185(a,1,1,2))]. 2504 (1 / (x \ y)) * (x \ T(y,z)) = K(y,z). [hyper(64,a,1239,a(flip),b,2274,a),flip(a)]. 2506 (1 / x) * ((y / x) \ T(y,z)) = K(y,z). [para(78(a,1),2504(a,1,1,2))]. 2507 (1 / (x \ y)) \ K(y,z) != u | x \ T(y,z) = u. [para(2504(a,1),286(a,1,2)),flip(b)]. 2508 K(x,y) = (1 / (y * x)) * (x * y). [para(1231(a,1),2506(a,1,2)),flip(a)]. 2509 K(x,y) = (x * y) * ((y * x) \ 1). [hyper(306,a,1553,a(flip),b,2508,a),flip(a)]. 2510 ((x \ y) * x) * (y \ 1) = K(x \ y,x). [para(10(a,1),2509(a,2,2,1)),flip(a)]. 2511 ((x \ y) * x) * (y \ 1) = ((x \ y) * x) / y. [hyper(306,a,391,a,b,2510,a),flip(a)]. 2512 ((x \ y) * x) / y != ((x \ y) * x) * z | y \ 1 = z. [para(2511(a,1),44(a,1))]. 2513 L(T(1 / x,y),y,K(x,z)) = T(1 / x,K(x,z) * y). [hyper(1127,a,2296,a)]. 2514 (x * y) * R((x * y) \ (z * y),u,w) = (x * R(x \ z,u,w)) * y. [para(747(a,1),2451(a,2,1))]. 2515 (x * y) * L((x * y) \ (z * y),u,w) = (x * L(x \ z,u,w)) * y. [para(737(a,1),2453(a,2,1))]. 2516 (L(x,y,z) / (x * (u \ L(x,y,z)))) * x = R(u,x \ L(x,y,z),x). [para(730(a,1),2460(a,1,1))]. 2517 L(x * L(x \ 1,y,z),x \ u,x) * (x \ u) = (x \ u) * (u \ ((x * L(x \ 1,y,z)) * u)). [para(2481(a,1),1172(a,1,2,2)),flip(a)]. 2518 a(R(x,y,z),x,u) != w | a(x,R(x,y,z),u) = w. [para(2483(a,1),1084(a,1))]. 2519 (x \ y) * L((x \ y) \ 1,z,u) = x \ (y * L(y \ x,z,u)). [para(8(a,1),2484(a,1,2,2,1,2)),flip(a)]. 2520 L(x \ L(y \ (y * x),z,u),x,y) = ((y * x) \ y) * L(((y * x) \ y) \ 1,z,u). [hyper(306,a,95,a,b,2519,a)]. 2521 ((x \ y) \ 1) * (x \ (y * L(y \ x,z,u))) = L((x \ y) \ 1,z,u). [hyper(121,a,2519,a(flip),b,927,a)]. 2522 (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(18(a,2),2519(a,1,1)),flip(a)]. 2523 (x / y) * L((x / y) \ 1,z,u) = (x * L(x \ y,z,u)) / y. [hyper(119,a,2485,a(flip),b,2478,a(flip)),flip(a)]. 2524 (((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(20(a,2),2523(a,1,1)),flip(a)]. 2525 (x * K(y,T(z,u))) * (K(w,T(v5,v6)) * v7) = (x * K(y,z)) * (K(w,v5) * v7). [para(1949(a,2),2500(a,1,2))]. 2526 x * (y * R(y \ (x \ (z * y)),u,w)) = (x * R(x \ z,u,w)) * y. [hyper(64,a,1422,a(flip),b,2514,a)]. 2527 ((x * y) * R((x * y) \ x,z,u)) * y = (x * y) * (y * R(y \ 1,z,u)). [hyper(64,a,1274,a(flip),b,2514,a),flip(a)]. 2528 (x \ (y * x)) * R((x \ (y * x)) \ x,z,u) = T(y * R(y \ x,z,u),x). [hyper(230,a,2514,a(flip),b,1622,a),flip(a)]. 2529 x * R(x \ (x \ (y * x)),z,u) = T(x * R(x \ y,z,u),x). [hyper(230,a,2514,a(flip),b,1422,a(flip)),flip(a)]. 2530 (x * y) * R((x * y) \ y,z,u) = (x * R(x \ 1,z,u)) * y. [para(7(a,1),2514(a,1,2,1,2))]. 2532 T(x * R(x \ y,z,u),x) = x * R(x \ T(y,x),z,u). [para(22(a,2),2529(a,1,2,1,2)),flip(a)]. 2533 x \ T(x * R(x \ y,z,u),x) = R(x \ T(y,x),z,u). [hyper(118,a,2532,a,b,xx)]. 2535 T(T(x,y) * R(x \ z,u,w),x) = T(x,y) * R(x \ T(z,x),u,w). [para(2533(a,1),2241(a,1,2)),flip(a)]. 2536 x * ((x * y) * R((x * y) \ y,z,u)) = (x * R(x \ 1,z,u)) * (x * y). [hyper(64,a,1421,a(flip),b,2530,a)]. 2537 (x * y) * R(y \ (x \ y),z,u) = (x * R(x \ 1,z,u)) * y. [para(349(a,1),2530(a,1,2,1))]. 2539 ((x / y) * R((x / y) \ 1,z,u)) * x = ((x / y) * x) * R(x \ y,z,u). [para(78(a,1),2537(a,1,2,1,2)),flip(a)]. 2540 (x * L(x \ y,z,x)) * z = x * (z * ((x * z) \ (y * z))). [hyper(285,a,2515,a),flip(a)]. 2541 ((x * y) * L((x * y) \ x,z,u)) * y = (x * y) * (y * L(y \ 1,z,u)). [hyper(64,a,1277,a(flip),b,2515,a),flip(a)]. 2542 x * L(x \ (x \ (y * x)),z,u) = T(x * L(x \ y,z,u),x). [hyper(230,a,2515,a(flip),b,1419,a(flip)),flip(a)]. 2544 x * (y * ((x * y) \ ((x * z) * y))) = (x * L(z,y,x)) * y. [para(9(a,1),2540(a,1,1,2,1)),flip(a)]. 2545 T(x * L(x \ y,z,u),x) = x * L(x \ T(y,x),z,u). [para(22(a,2),2542(a,1,2,1,2)),flip(a)]. 2546 x \ T(x * L(x \ y,z,u),x) = L(x \ T(y,x),z,u). [hyper(118,a,2545,a,b,xx)]. 2548 T(T(x,y) * L(x \ z,u,w),x) = T(x,y) * L(x \ T(z,x),u,w). [para(2546(a,1),2241(a,1,2)),flip(a)]. 2549 L((x \ y) \ 1,z,u) != ((x \ y) \ 1) * w | x \ (y * L(y \ x,z,u)) = w. [para(2521(a,1),44(a,1))]. 2550 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(183(a,1),2526(a,1,2,2,1,2))]. 2551 a(x,y,z) = L(L(z,y,x) \ z,L(z,y,x),x * y). [hyper(306,a,14,a,b,615,a)]. 2552 L(x,L(y,z,u),u * z) != a(u,z,y) | L(y,z,u) \ y = x. [para(2551(a,2),51(a,1)),flip(a)]. 2553 T(x,a(y,z,x)) = x. [para(2551(a,2),1682(a,1,2))]. 2554 a(x,y,z) * z = z * a(x,y,z). [hyper(121,a,2553,a(flip),b,22,a(flip))]. 2555 (a(x,y,z) \ z) \ z = a(x,y,z). [hyper(118,a,2553,a(flip),b,793,a(flip))]. 2557 (R(T(x,y),z,u) * (z * u)) / ((x * z) * u) = R(K(R(x,z,u),y),R(x,z,u),z * u). [para(1925(a,1),632(a,1,1)),flip(a)]. 2558 L(x,y,T(z,z \ u)) = L(x,y,(z \ u) \ u). [hyper(64,a,1005,a(flip),b,1007,a)]. 2559 L(x,y,(z \ u) \ u) = L(x,y,T(z,u)). [para(404(a,1),2558(a,1,3)),flip(a)]. 2560 L(x,y,(z \ 1) \ 1) = L(x,y,z). [para(177(a,1),2559(a,2,3))]. 2561 L(x,y,T(z,K(u,w))) = L(x,y,z). [para(334(a,2),2560(a,1,3))]. 2562 L(x,y,K(z,T(u,w))) = L(x,y,K(z,u)). [para(1942(a,2),2560(a,1,3))]. 2563 L(x,y,L(z,u,z)) = L(x,y,z). [para(758(a,1),2561(a,1,3))]. 2564 L(x,y,a(z,u,z) \ w) = L(x,y,w). [para(776(a,1),2563(a,1,3))]. 2565 L(x,y,K(z \ u,z)) = L(x,y,K(u,z)). [para(1890(a,2),2564(a,1,3))]. 2566 L(x,y,K(z \ u,u)) = L(x,y,K(z \ u,z)). [para(1930(a,2),2565(a,2,3)),flip(a)]. 2567 L(x,y,K(z \ u,u)) = L(x,y,K(u,z)). [hyper(306,a,2565,a(flip),b,2566,a),flip(a)]. 2568 L(x \ 1,x,T(x,y) * (z / x)) = (T(x,y) * z) \ (T(x,y) * (z / x)). [para(1094(a,1),1095(a,2,2))]. 2569 L((x * y) \ z,x * y,K(y,x)) = (y * x) \ (z * K(y,x)). [para(242(a,1),1124(a,1,1,2))]. 2571 ((x * (y * z)) \ 1) / ((x * y) \ 1) = R(z \ 1,y \ 1,x \ 1). [para(515(a,1),1613(a,1,2))]. 2572 ((x * y) \ (x * (y * z))) \ 1 = R(z \ 1,y \ 1,x \ 1). [hyper(563,a,2571,a)]. 2573 R(x \ 1,y \ 1,z \ 1) = L(x,y,z) \ 1. [para(18(a,2),2572(a,1,1)),flip(a)]. 2574 R(x,y \ 1,z \ 1) = L(x \ 1,y,z) \ 1. [para(326(a,1),2573(a,1,1))]. 2575 (x * L(x \ 1,y,z)) \ 1 = x \ R(x,y \ 1,z \ 1). [para(2574(a,2),1362(a,2,2))]. 2576 R(x,y \ 1,z \ 1) \ x = x * L(x \ 1,y,z). [hyper(40,a,1215,a,b,2575,a)]. 2577 ((x / (y \ 1)) * L((x / (y \ 1)) \ 1,y,x)) \ 1 = (x / (y \ 1)) \ (1 / ((y \ 1) * (x \ 1))). [para(378(a,1),2575(a,2,2))]. 2578 x * L(x \ 1,y,z \ 1) = R(x,y \ 1,z) \ x. [para(326(a,1),2576(a,1,1,3)),flip(a)]. 2580 x * L(x \ 1,y \ 1,z \ 1) = R(x,y,z) \ x. [para(326(a,1),2578(a,2,1,2))]. 2581 L(x \ 1,y \ 1,z \ 1) = R(x,y,z) \ 1. [hyper(35,a,1448,a,b,2580,a),flip(a)]. 2582 R(x,(y \ 1) \ 1,z) = R(x,y,z). [hyper(40,a,2578,a(flip),b,2580,a(flip))]. 2583 R(x,y,z) * (((y \ 1) \ 1) * z) = (x * ((y \ 1) \ 1)) * z. [hyper(120,a,2582,a(flip),b,20,a(flip))]. 2585 L(x,y \ 1,z \ 1) = R(x \ 1,y,z) \ 1. [para(326(a,1),2581(a,1,1))]. 2586 x / L(x,y \ 1,z \ 1) = x * R(x \ 1,y,z). [para(2585(a,2),1567(a,1,2))]. 2587 x / (x * R(x \ 1,y,z)) = L(x,y \ 1,z \ 1). [hyper(196,a,2586,a(flip),b,835,a(flip))]. 2588 (x * ((y \ 1) \ 1)) * z != u * (((y \ 1) \ 1) * z) | R(x,y,z) = u. [para(2583(a,1),45(a,1))]. 2590 R(x,K(y \ 1,z),y) != u | R(x,y,K(y \ 1,z)) = u. [para(2242(a,1),621(a,1))]. 2591 (x * y) * L(L(T(x \ 1,x * y),x,y),z,u) = (x * L(x \ 1,z,u)) * y. [para(1264(a,2),2301(a,1,2,1,1))]. 2592 a(x / y,y,L(x \ 1,z,x)) = ((x / y) * (y * (x \ 1))) \ 1. [para(2308(a,1),2315(a,1,1,2,2)),flip(a)]. 2593 a(x / y,y,L(x \ 1,z,x)) = (x * (y \ 1)) * ((x / y) \ 1). [hyper(306,a,547,a(flip),b,2592,a),flip(a)]. 2595 a(x / y,y,L(x \ 1,z,x)) = (x / y) \ (x * (y \ 1)). [hyper(306,a,2427,a(flip),b,2593,a),flip(a)]. 2596 (x / y) \ (x * (y \ 1)) = a(x / y,y,x \ 1). [para(441(a,1),2595(a,1,3)),flip(a)]. 2597 L(R(x \ 1,y,z),x,u) * u = (x * R(x \ 1,y,z)) * (x \ u). [para(1459(a,1),2448(a,1,1))]. 2598 R(x / (x * R(x \ 1,y,z)),x * R(x \ 1,y,z),x \ u) \ u = L(R(x \ 1,y,z),x,u) * u. [hyper(306,a,617,a,b,2597,a)]. 2599 (((x * y) / L(z,y,x)) * z) / T(x * y,((x * y) / L(z,y,x)) * z) = ((x * (y * z)) / z) \ (x * y). [hyper(64,a,406,a,b,2472,a)]. 2600 x \ ((((x / y) * y) / L(z,y,x / y)) * z) = (((x / y) * (y * z)) / z) \ ((x / y) * y). [para(12(a,1),2472(a,1,1))]. 2601 ((x * (y * (y \ z))) / (y \ z)) \ (x * y) = (x * y) \ ((((x * y) / z) * y) * (y \ z)). [para(1614(a,1),2472(a,1,2,1)),flip(a)]. 2602 x * L(x \ y,x,T(x,z) \ x) = L(y,T(x,z) \ x,x). [para(1019(a,1),2502(a,1,2))]. 2603 (x * ((y * z) * K(u \ 1,u))) \ (K(w \ 1,w) * ((x * y) * z)) = L(a(x,y,z),x * (y * z),K(w \ 1,w)). [para(1333(a,1),608(a,1,1))]. 2604 T(x,(y * L(y \ 1,z,u)) * (y \ w)) != v5 | T(x,w * L(w \ (y \ w),z,u)) = v5. [para(2306(a,1),1529(a,1))]. 2605 (x \ 1) * (y * T(R(x,z,u),y * (x \ 1))) = R(x,z,u) * ((x \ 1) * y). [para(1479(a,1),2353(a,1,2,2))]. 2606 (x \ 1) * (y * L(T(x,(x \ 1) * y),z,u)) = L(x,z,u) * ((x \ 1) * y). [para(25(a,2),2354(a,1,2,2))]. 2607 x * ((x \ y) * ((z * ((x \ y) \ 1)) / z)) = y * ((z * (y \ x)) / z). [para(8(a,1),2395(a,2,2,1,2,2))]. 2608 x * K(y,(x \ z) \ 1) = z * ((y * (z \ x)) / y). [para(1769(a,1),2607(a,1,2))]. 2609 x * ((x \ y) * K(z,x \ y)) = y * K(z,(y \ x) \ 1). [hyper(306,a,1743,a(flip),b,2608,a)]. 2610 x \ (y * ((z * (y \ x)) / z)) = K(z,(x \ y) \ 1). [hyper(125,a,2608,a)]. 2611 L(K(x,y \ z),y \ z,y) = K(x,(z \ y) \ 1). [hyper(1122,a,2609,a)]. 2612 (K(x,y) * z) * (K(u,T(w,v5)) * v6) = (z * K(x,y)) * (K(u,w) * v6). [para(1813(a,1),2525(a,1,1))]. 2613 (x * (y * R(y \ 1,z,u))) * y = (x * y) * (y * R(y \ 1,z,u)). [para(1274(a,1),2527(a,1,1))]. 2614 (x * ((y * R(y \ 1,z,u)) * y)) \ ((x * y) * (y * R(y \ 1,z,u))) = a(x,y * R(y \ 1,z,u),y). [hyper(118,a,2613,a(flip),b,81,a)]. 2616 T(x,y) * R((y \ (x * y)) \ y,z,u) = T(x * R(x \ y,z,u),y). [para(22(a,2),2528(a,1,1))]. 2617 T(x,y) * R(T(x,y) \ y,z,u) = T(x * R(x \ y,z,u),y). [para(22(a,2),2616(a,1,2,1,1))]. 2618 T(x,x * y) * R(T(x,x * y) \ (x * y),z,u) = T(x * R(y,z,u),x * y). [para(9(a,1),2617(a,2,1,2,1))]. 2619 (x * R(x \ 1,y,z)) * (x * u) = x * ((x * R(x \ 1,y,z)) * u). [para(2530(a,1),2536(a,1,2)),flip(a)]. 2620 ((x * y) * (x * R(x \ 1,z,u))) \ (x * ((x * R(x \ 1,z,u)) * y)) = K(x * R(x \ 1,z,u),x * y). [hyper(118,a,2619,a(flip),b,85,a)]. 2622 ((x / y) * R((x / y) \ 1,z,u)) * x = (x * (y \ x)) * R(x \ y,z,u). [para(398(a,1),2539(a,2,1))]. 2623 (x * (y * L(y \ 1,z,u))) * y = (x * y) * (y * L(y \ 1,z,u)). [para(1277(a,1),2541(a,1,1))]. 2624 (x \ 1) * (y * L(T(x,y),z,u)) = L(x,z,u) * ((x \ 1) * y). [para(1260(a,1),2606(a,1,2,2,1))]. 2625 L(x,y,z) * ((x \ 1) * u) = (x \ 1) * (L(x,y,z) * u). [para(228(a,1),2624(a,1,2)),flip(a)]. 2626 ((1 / x) \ 1) * (L(1 / x,y,z) * u) = L(1 / x,y,z) * (x * u). [para(78(a,1),2625(a,1,2,1)),flip(a)]. 2627 x * ((x \ 1) * (L(x,y,z) * u)) = L(x,y,z) * L(u,x,x \ 1). [para(2625(a,1),2332(a,1,2))]. 2628 L(L(x,y,z) * u,x,x \ 1) = L(x,y,z) * L(u,x,x \ 1). [hyper(2359,a,2627,a)]. 2629 L(L(x,y,z) * (L(x,y,z) \ (u \ L(x,y,z))),x,x \ 1) / (u \ L(x,y,z)) = u * L(u \ 1,x,x \ 1). [hyper(119,a,2628,a,b,2299,a)]. 2630 ((1 / x) \ 1) * (L(1 / x,y,z) * u) = L(x \ 1,y,z) * (x * u). [para(325(a,1),2626(a,2,1,1))]. 2631 L(x \ 1,y,z) * (x * u) = x * (L(1 / x,y,z) * u). [hyper(716,a,2630,a),flip(a)]. 2633 L(x \ 1,y,z) * (x * u) = x * (L(x \ 1,y,z) * u). [para(325(a,1),2631(a,2,2,1,1))]. 2634 (x \ y) * (L((x \ y) \ 1,x \ y,x) * z) = (y \ x) * ((x \ y) * z). [para(462(a,1),2633(a,1,1)),flip(a)]. 2635 (x \ y) * ((y \ x) * z) = (y \ x) * ((x \ y) * z). [para(462(a,1),2634(a,1,2,1))]. 2636 T((x \ y) \ ((y \ x) * z),y \ x) = (y \ x) * T((x \ y) \ z,y \ x). [hyper(1690,a,2635,a)]. 2637 ((x * y) \ x) * ((x \ (x * y)) * z) = y * (((x * y) \ x) * z). [para(9(a,1),2635(a,1,1)),flip(a)]. 2638 ((x * y) \ x) * ((x \ (x * y)) * z) = y * ((x \ (x / y)) * z). [para(320(a,1),2637(a,2,2,1))]. 2639 (x \ (x / y)) * ((x \ (x * y)) * z) = y * ((x \ (x / y)) * z). [para(320(a,1),2638(a,1,1))]. 2640 (x \ (x / y)) * (y * z) = y * ((x \ (x / y)) * z). [para(9(a,1),2639(a,1,2,1))]. 2641 x * ((y \ (y / x)) * T(z,x)) = (y \ (y / x)) * (z * x). [hyper(668,a,2640,a),flip(a)]. 2642 ((x * (y \ x)) * R(x \ y,z,u)) / x = (x / y) * R((x / y) \ 1,z,u). [hyper(132,a,2622,a)]. 2643 x / ((x / R(x \ y,z,u)) * (x \ y)) = (x / y) * R((x / y) \ 1,z,u). [hyper(1305,a,2642,a)]. 2644 (x / y) * R((x / y) \ 1,z,u) = x / (R(y / x,z,u) \ y). [para(1641(a,1),2643(a,1,2)),flip(a)]. 2645 (x / (R(y / x,z,u) \ y)) * y = x * R(x \ y,z,u). [hyper(120,a,2644,a(flip),b,2488,a(flip))]. 2646 ((x * (y * (z * K(u \ 1,u)))) \ ((x * y) * z)) * K(w \ 1,w) = a(x,y,z * K(u \ 1,u)). [hyper(1634,a,1011,a)]. 2647 (L(x,T(y,z),z) * (y * z)) \ (x * (y * z)) = a(z,T(y,z),T(x,y * z)). [para(1285(a,1),1412(a,1,1))]. 2648 ((x * y) * z) * a(z * K(x * y,z),x,y) = (x * y) * R(z,x,y). [hyper(306,a,1739,a(flip),b,1748,a),flip(a)]. 2649 ((x * y) * z) * u != (x * y) * R(z,x,y) | a(z * K(x * y,z),x,y) = u. [para(2648(a,1),44(a,1)),flip(a)]. 2650 a(x \ ((x \ 1) \ y),x,x \ 1) = (x \ ((x \ 1) \ y)) \ (1 \ y). [para(327(a,1),2155(a,1,2,1)),flip(a)]. 2651 a(x \ ((x \ 1) \ y),x,x \ 1) = (x \ ((x \ 1) \ y)) \ y. [para(66(a,1),2650(a,2,2))]. 2653 L(x \ (y \ 1),y,y \ 1) / (x \ (y \ 1)) = x * L(x \ 1,y,y \ 1). [para(714(a,1),2367(a,1,1))]. 2654 a(x \ (y \ 1),y,y \ 1) = x * L(x \ 1,y,y \ 1). [hyper(2191,a,2653,a)]. 2655 a(x \ (y \ 1),y,y \ 1) = x * (y * ((x * y) \ 1)). [para(2333(a,1),2654(a,2,2))]. 2656 a(x \ (y \ 1),y,y \ 1) = a(y,y \ 1,x). [hyper(306,a,2337,a(flip),b,2655,a),flip(a)]. 2657 (x * y) * L(T(L(x \ 1,x,y),x * y),z,u) = (x * L(x \ 1,z,u)) * y. [para(25(a,1),2591(a,1,2,1))]. 2658 L(L(x \ 1,x,y),z,u) * (x * y) = (x * L(x \ 1,z,u)) * y. [hyper(484,a,2657,a)]. 2659 L(L(L(x \ 1,x,y) \ 1,L(x \ 1,x,y),y),z,u) * (x \ y) = (L(x \ 1,x,y) * L(L(x \ 1,x,y) \ 1,z,u)) * y. [para(887(a,1),2658(a,1,2))]. 2660 x * (T(y,x) * R(T(y,x) \ 1,z,u)) = (y * x) * R((y * x) \ x,z,u). [para(106(a,1),1273(a,1,2,1,1)),flip(a)]. 2661 T(x,y) * R(T(x,y) \ 1,z,u) = T(x * R(x \ 1,z,u),y). [hyper(230,a,2530,a(flip),b,2660,a),flip(a)]. 2662 T(x,y) * R(x \ K(y,x),z,u) = T(x * R(x \ 1,z,u),y). [para(1803(a,1),2661(a,1,2,1))]. 2663 T(x,y) * R(T(x \ 1,y),z,u) = T(x * R(x \ 1,z,u),y). [para(2071(a,2),2661(a,1,2,1))]. 2664 T(x * R(x \ 1,y \ 1,z \ 1),u) = T(x,u) * (L(T(x,u),y,z) \ 1). [para(2573(a,1),2661(a,1,2)),flip(a)]. 2665 T((1 / x) * R((1 / x) \ 1,y,z),u) = T(1 / x,u) * R(T(x,u),y,z). [para(78(a,1),2663(a,1,2,1,1)),flip(a)]. 2666 T(x * R(x \ 1,y \ 1,z \ 1),u) = L(T(x,u),y,z) \ T(x,u). [hyper(306,a,1199,a(flip),b,2664,a),flip(a)]. 2667 T(x * (L(x,y,z) \ 1),u) = L(T(x,u),y,z) \ T(x,u). [para(2573(a,1),2666(a,1,1,2))]. 2668 L(T(x,y),z,u) \ T(x,y) = T(L(x,z,u) \ x,y). [para(1199(a,1),2667(a,1,1)),flip(a)]. 2669 L(T(x,y),z,u) \ T(x,x * y) = T(L(x,z,u) \ x,x * y). [para(414(a,1),2668(a,1,1,1))]. 2670 L(T(L(x,y,z) \ x,u),L(T(x,u),y,z),u) = (u * L(T(x,u),y,z)) \ (x * u). [para(2668(a,1),533(a,1,1))]. 2671 T(L(x,y,z) \ x,x * u) = L(T(x,u),y,z) \ T(x,u). [para(414(a,1),2669(a,1,2)),flip(a)]. 2672 T(L(x,y,z) \ x,x * u) = T(L(x,y,z) \ x,u). [hyper(306,a,2668,a(flip),b,2671,a),flip(a)]. 2673 T((1 / x) * R((1 / x) \ 1,y,z),u) = T(x \ 1,u) * R(T(x,u),y,z). [para(325(a,1),2665(a,2,1,1))]. 2674 T((1 / x) * R((1 / x) \ 1,y,z),u) = T(x,u) \ R(T(x,u),y,z). [hyper(306,a,2097,a(flip),b,2673,a),flip(a)]. 2675 T((x \ 1) * R((1 / x) \ 1,y,z),u) = T(x,u) \ R(T(x,u),y,z). [para(325(a,1),2674(a,1,1,1))]. 2676 T((x \ 1) * R((x \ 1) \ 1,y,z),u) = T(x,u) \ R(T(x,u),y,z). [para(325(a,1),2675(a,1,1,2,1,1))]. 2677 T(x,y) \ R(T(x,y),z,u) = T(x \ R(x,z,u),y). [para(1440(a,1),2676(a,1,1)),flip(a)]. 2678 T(x \ 1,y) * R(T(x,y),z,u) = T(x \ R(x,z,u),y). [hyper(64,a,2097,a,b,2677,a)]. 2679 x * ((x * (y * R(y \ 1,z,u))) \ x) = (x / y) / R(x \ (x / y),z,u). [para(1280(a,1),1640(a,1,2,1))]. 2680 (x / y) / R(x \ (x / y),z,u) != w | x / (y * R(y \ 1,z,u)) = w. [para(2679(a,1),382(a,1))]. 2681 R((x / y) / x,z,u) \ (x / y) = x / (y * R(y \ 1,z,u)). [hyper(2680,a,1211,a),flip(a)]. 2682 R(x / (x * y),z,u) \ (x / y) = x / (y * R(y \ 1,z,u)). [para(394(a,1),2681(a,1,1,1))]. 2683 T(x,y) * L(T(x,y) \ y,z,u) = T(x * L(x \ y,z,u),y). [hyper(230,a,2515,a(flip),b,2396,a(flip)),flip(a)]. 2684 T(x,y) * L(x \ T(y,x),z,u) = T(x * L(x \ y,z,u),y). [para(971(a,1),2683(a,1,2,1))]. 2685 T(T(x,y) * L(x \ y,z,u),x) = T(x * L(x \ y,z,u),y). [hyper(64,a,2548,a,b,2684,a)]. 2686 T(x * L(x \ (x * y),z,u),x * y) = T(T(x,x * y) * L(y,z,u),x). [para(9(a,1),2685(a,1,1,2,1)),flip(a)]. 2687 T(T(x,x * y) * L(y,z,u),x) = T(x * L(y,z,u),x * y). [para(9(a,1),2686(a,1,1,2,1)),flip(a)]. 2688 T(x * L(y,z,u),x * y) = L(y,z,u) * T(x,y). [hyper(1559,a,2687,a),flip(a)]. 2691 (x * L(y,z,u)) \ (L(y,z,u) * T(x,y)) != w | K(x * L(y,z,u),x * y) = w. [para(2688(a,1),1913(a,1,2))]. 2692 x * (T(x * y,x) * R(T(x * y,x) \ y,z,u)) = (x * y) * (x * R(x \ 1,z,u)). [hyper(1275,a,2403,a),flip(a)]. 2693 (x \ (x / y)) * R((x / (y * x)) \ 1,z,u) = (x * R(T(y,x),z,u)) / (y * x). [para(879(a,1),2491(a,1,1))]. 2694 (x \ (x / y)) * R(((y \ x) / x) \ 1,z,u) = ((y \ x) * R(T(y,x),z,u)) / x. [para(834(a,1),2492(a,1,1))]. 2695 T(x,x * y) * R(x \ T(x * y,x),z,u) = T(x * R(y,z,u),x * y). [para(971(a,1),2618(a,1,2,1))]. 2696 T(T(x,x * y) * R(x \ (x * y),z,u),x) = T(x * R(y,z,u),x * y). [hyper(64,a,2535,a,b,2695,a)]. 2697 T(T(x,x * y) * R(y,z,u),x) = T(x * R(y,z,u),x * y). [para(9(a,1),2696(a,1,1,2,1))]. 2698 T(x * R(y,z,u),x * y) = R(y,z,u) * T(x,y). [hyper(1559,a,2697,a),flip(a)]. 2699 (x * R(y,z,u)) / (R(y,z,u) * T(x,y)) = K(x * y,x * R(y,z,u)). [hyper(196,a,2698,a(flip),b,1785,a(flip))]. 2701 (x \ (x / y)) * R((x \ (x / y)) \ 1,z,u) = (x * R(T(y,x),z,u)) / (y * x). [para(879(a,1),2693(a,1,2,1,1))]. 2702 (x \ (x / y)) * R((x \ (x / y)) \ 1,z,u) = ((y \ x) * R(T(y,x),z,u)) / x. [para(834(a,1),2694(a,1,2,1,1))]. 2703 (x \ (x / y)) * R((x \ (x / y)) \ 1,z,u) = (R(y,z,u) * x) / (y * x). [para(229(a,1),2701(a,2,1))]. 2704 ((x \ y) * R(T(x,y),z,u)) / y = (R(x,z,u) * y) / (x * y). [hyper(64,a,2703,a(flip),b,2702,a),flip(a)]. 2705 (R(x,y,z) * (x \ u)) / u = (R(x,y,z) * u) / (x * u). [para(752(a,1),2704(a,1,1))]. 2706 (R(x,y,z) * u) / (x * u) = u / (x * (R(x,y,z) \ u)). [hyper(731,a,2705,a),flip(a)]. 2708 L(T(L(x,y,z) \ x,u),L(x,y,z),z * y) = T((z * (y * x)) \ ((z * y) * x),x * u). [para(2672(a,1),1286(a,1,1))]. 2709 (x * y) * ((z * ((x * y) \ (u * y))) / z) = (((z * (u / x)) / z) * x) * y. [hyper(1237,a,1289,a),flip(a)]. 2710 (((x * ((y / z) / u)) / x) * u) * z = (u * z) * ((x * ((u * z) \ y)) / x). [para(12(a,1),2709(a,1,2,1,2,2)),flip(a)]. 2711 (x * y) * ((z * ((x * y) \ (u * y))) / z) = (x * ((z * (x \ u)) / z)) * y. [para(1213(a,1),2709(a,2,1))]. 2712 (x * y) * ((x * ((x * y) \ z)) / x) = (x * ((z / y) / x)) * y. [hyper(309,a,2710,a),flip(a)]. 2714 x * (y * ((z * (y \ (x \ (u * y)))) / z)) = (x * ((z * (x \ u)) / z)) * y. [hyper(64,a,1629,a(flip),b,2711,a)]. 2715 (x * ((y * (x \ z)) / y)) * y = x * (y * ((x \ (z * y)) / y)). [para(10(a,1),2714(a,1,2,2,1)),flip(a)]. 2716 ((x * y) * ((z * ((x * y) \ x)) / z)) * z = (x * y) * (z * (L(y \ z,y,x) / z)). [para(95(a,2),2715(a,2,2,2,1))]. 2717 (x * y) * K(L(z,y,x) \ 1,u) = x * ((y * z) * T((y * z) \ y,u)). [hyper(1287,a,2171,a),flip(a)]. 2718 (x * y) * K(L(z,y,x) \ 1,u) = x * (y * K(z \ 1,u)). [para(1991(a,1),2717(a,2,2))]. 2719 L(K(x \ 1,y),z,u) = K(L(x,z,u) \ 1,y). [hyper(595,a,2718,a)]. 2720 K(L(1 / x,y,z) \ 1,u) = L(K(x,u),y,z). [para(78(a,1),2719(a,1,1,1)),flip(a)]. 2721 K(L(x \ 1,y,z) \ 1,u) = L(K(x,u),y,z). [para(326(a,1),2719(a,1,1,1)),flip(a)]. 2722 L(T(K(x,y),z),u,w) = K(L(T(1 / x,v5),u,w) \ 1,y). [para(1877(a,2),2719(a,1,1))]. 2723 T(x,y * L(K(z,u),w,v5)) = T(x,y). [para(2720(a,1),1478(a,1,2,2))]. 2724 K(x * L(K(y,z),u,w),v5) = K(x,v5). [para(2720(a,1),1850(a,1,1,2))]. 2725 K(x,y * L(K(z,u),w,v5)) = K(x,y). [para(2720(a,1),1993(a,1,2,2))]. 2726 K(x,L(K(y,z),u,w) * v5) = K(x,v5). [para(2720(a,1),1996(a,1,2,1))]. 2727 T(x,y * (z * K(u,w))) = T(x,y * z). [para(93(a,1),2723(a,1,2))]. 2728 K(x * (y * K(z,u)),w) = K(x * y,w). [para(93(a,1),2724(a,1,1))]. 2729 K(x,y * (z * K(u,w))) = K(x,y * z). [para(93(a,1),2725(a,1,2))]. 2730 K(x,y * (K(z,u) * w)) = K(x,y * w). [para(1306(a,1),2726(a,1,2))]. 2731 T(x,y * (z / u)) = T(x,y * (u \ z)). [para(1733(a,1),2727(a,1,2,2))]. 2732 T(x,y * (T(z,u) * w)) = T(x,y * (z * w)). [para(2167(a,1),2727(a,1,2,2))]. 2733 K(x * (y \ T(z,u)),w) = K(x * (y \ z),w). [para(2169(a,1),2728(a,1,1,2))]. 2734 T(x,(y / z) * u) = T(x,u * (z \ y)). [hyper(1529,a,2731,a)]. 2736 K(x,L(y \ 1,z,u)) = L(K(y,x),z,u). [hyper(2077,a,2721,a)]. 2737 K(x,L(y \ 1,z,u) \ 1) = L(K(y,x),z,u) \ 1. [para(2721(a,1),1992(a,1,1)),flip(a)]. 2738 L(K(x,y),z,u) \ 1 != w | K(y,L(x \ 1,z,u) \ 1) = w. [para(2721(a,1),2178(a,1,1))]. 2739 T(x,y * (T(z \ 1,u) * (w \ 1))) = T(x,y * ((w * z) \ 1)). [para(515(a,1),2732(a,2,2,2))]. 2740 T(x,y * (((z / u) \ 1) * w)) = T(x,y * (((u \ z) \ 1) * w)). [para(1159(a,1),2732(a,1,2,2,1))]. 2741 K(x * (y \ (z / u)),w) = K(x * (y \ (u \ z)),w). [para(108(a,1),2733(a,1,1,2,2)),flip(a)]. 2742 L(T(K(x,y),z),u,K(x,w)) = K(T(1 / x,K(x,w) * u) \ 1,y). [para(2513(a,1),2722(a,2,1,1))]. 2743 T(x,y * ((z * T(u,w)) \ 1)) = T(x,y * ((z * u) \ 1)). [para(2098(a,1),2739(a,1,2,2))]. 2744 T(K(x,y),z) = L(T(K(x,y),u),w,K(x,v5)). [hyper(306,a,1877,a,b,2742,a)]. 2745 L(K(x,y),z,K(x,u)) = K(x,y). [hyper(141,a,2744,a)]. 2747 (K(x,y) * (K(x,z) * u)) / (K(x,y) * u) = K(x,z). [hyper(64,a,1315,a,b,2745,a)]. 2748 L(K(x,y),z,K(u,x)) = K(x,y). [para(1909(a,1),2745(a,1,3))]. 2749 K(x,y) * (K(x,z) * T(y,x)) = K(x,z) * y. [para(2745(a,1),1793(a,1,1)),flip(a)]. 2750 (K(x,y) * z) * K(y,u) = K(x,y) * (z * K(y,u)). [hyper(121,a,2748,a(flip),b,18,a(flip))]. 2751 K(x,y) * (K(z,x) * u) = K(z,x) * (K(x,y) * u). [hyper(120,a,2748,a(flip),b,1315,a)]. 2752 T(K(x,y) * z,x) = K(x,y) * T(z,x). [hyper(2173,a,2749,a)]. 2753 K(x,y) * T(K(x,y) \ z,y) = T(z,y). [hyper(2303,a,2752,a)]. 2754 K(x,y) * T(K(x,y) \ z,x) = T(z,x). [para(10(a,1),2752(a,1,1)),flip(a)]. 2755 T(x * K(y,z),y) = T(x,y) * K(y,z). [para(2753(a,1),2366(a,1,1)),flip(a)]. 2756 T((x / y) * K(y,z),y) = (y \ x) * K(y,z). [para(108(a,1),2755(a,2,1))]. 2757 T((x / y) * K(y,z),y) != u * K(y,z) | y \ x = u. [para(2756(a,2),45(a,1))]. 2758 (K(x,y) * (K(x,z) * u)) / w != K(x,z) | K(x,y) * u = w. [para(2747(a,1),46(a,1)),flip(a)]. 2759 L(K(x,y),z,K(y,u)) = K(x,y). [hyper(1648,a,2750,a)]. 2760 L(x \ L(y \ (y * x),z,u),x,y) = (y \ (y / x)) * L(((y * x) \ y) \ 1,z,u). [para(320(a,1),2520(a,2,1))]. 2761 (x * y) * (z * (L(y \ z,y,x) / z)) = (x * K(z,y \ 1)) * z. [para(2482(a,1),2716(a,1,1)),flip(a)]. 2762 (x * y) * L(z * ((y \ z) / z),y,x) = (x * K(z,y \ 1)) * z. [para(1222(a,2),2761(a,1,2))]. 2763 x * (y * (z * ((y \ z) / z))) = (x * K(z,y \ 1)) * z. [hyper(285,a,2762,a)]. 2764 (x * K(y,z \ 1)) * y = x * T(y,z \ 1). [para(2108(a,1),2763(a,1,2)),flip(a)]. 2765 R(x,K(y,z \ 1),y) = x. [hyper(1920,a,2764,a)]. 2767 R(x,K(y,z),z) = x. [para(2072(a,1),2765(a,1,2))]. 2768 R(x,K(y \ 1,z),y) = x. [para(2074(a,2),2767(a,1,2))]. 2769 R(x,y,K(y \ 1,z)) = x. [hyper(2590,a,2768,a)]. 2771 R(x,y,K(z,y)) = x. [para(2074(a,1),2769(a,1,3))]. 2772 L(x,y,K(z,y)) = x. [hyper(64,a,1647,a(flip),b,2771,a)]. 2773 (x / y) * (y * K(z,y)) = x * K(z,y). [hyper(120,a,2771,a(flip),b,103,a(flip))]. 2774 (K(x,y) * y) * z = K(x,y) * (y * z). [para(2771(a,1),1650(a,1,2))]. 2775 R(x,y * z,K(z,y)) = x. [para(1809(a,1),2771(a,1,3))]. 2776 R(x,y,K(y,z)) = x. [para(1930(a,1),2771(a,1,3))]. 2777 L(x,y,K(y,z)) = x. [hyper(64,a,2567,a(flip),b,2772,a)]. 2778 L(x,T(y,z),K(u,y)) = x. [hyper(64,a,2562,a(flip),b,2772,a)]. 2779 L(x,y,T(y,z) \ y) = x. [para(1787(a,1),2772(a,1,3))]. 2780 L(x,y * z,K(z,y)) = x. [para(1809(a,1),2772(a,1,3))]. 2781 L(x,y * (z * u),K(u,y * z)) = x. [para(2442(a,1),2772(a,1,3))]. 2782 (x * y) * K(y,z) = x * T(y,z). [hyper(120,a,2776,a(flip),b,1911,a),flip(a)]. 2783 L(x,y / z,K(y,z)) = x. [para(1885(a,1),2777(a,1,3))]. 2784 K(x,y) * (x * z) = T(x,y) * z. [para(2777(a,1),1918(a,1,2)),flip(a)]. 2785 (x * (y * z)) * K(z,y) = x * (z * y). [para(2775(a,1),622(a,1,1)),flip(a)]. 2786 K(x,y) * (z * T(y,x)) = z * y. [para(2778(a,1),1793(a,1,1)),flip(a)]. 2787 L(x,T(y,z) \ y,y) = y * (y \ x). [para(2779(a,1),2602(a,1,2)),flip(a)]. 2788 L(x,y,z) = (y * z) \ (K(y,z) * (z * (y * x))). [hyper(64,a,1612,a,b,2780,a),flip(a)]. 2789 K(x,y) * (y * (x * z)) = (x * y) * L(z,x,y). [hyper(121,a,2780,a(flip),b,1612,a),flip(a)]. 2790 K(x,y) * ((y * x) * z) = (x * y) * z. [hyper(121,a,2780,a(flip),b,390,a),flip(a)]. 2791 (x * y) * ((y * x) \ z) = z * K(x,y). [hyper(121,a,2780,a(flip),b,2569,a(flip))]. 2792 K(x,y) * (z * (y * x)) = z * (x * y). [hyper(120,a,2780,a(flip),b,1652,a),flip(a)]. 2793 K(x,y) * ((x / y) * z) = (x / T(y,x)) * z. [para(2783(a,1),2023(a,1,2)),flip(a)]. 2794 K(((x * y) \ x) \ 1,z) = K(y,z). [hyper(2193,a,2782,a)]. 2795 L(K(x,y),x,z) = K(x,y). [hyper(1916,a,2782,a)]. 2796 K(x,y) * (z * T(x,u)) = z * T(T(x,u),y). [hyper(1822,a,2782,a)]. 2797 x * T(x \ y,z) = y * K(x \ y,z). [hyper(649,a,2782,a),flip(a)]. 2798 T(K(x,y),z) * (u * x) = u * T(x,y). [hyper(486,a,2782,a)]. 2799 K(x,y) * (z * x) = z * T(x,y). [hyper(358,a,2782,a)]. 2800 (x * y) \ (x * T(y,z)) = K(y,z). [hyper(125,a,2782,a)]. 2801 ((x / T(y,z)) * y) \ x = K(y,z). [hyper(118,a,12,a(flip),b,2782,a)]. 2802 (x * K(y,z)) * y = x * T(y,z). [hyper(64,a,2247,a,b,2782,a)]. 2803 (x * T(y,z)) / y = x * K(y,z). [hyper(119,a,2782,a(flip),b,2247,a)]. 2804 (x * K(y,z)) \ (x * T(y,z)) = y. [hyper(118,a,2782,a(flip),b,2247,a)]. 2805 (x * (y * z)) \ (x * (y * T(z,u))) = L(K(z,u),y * z,x). [para(2782(a,1),18(a,2,2,2)),flip(a)]. 2806 (x * y) * K(y,z) != x * u | T(y,z) = u. [para(2782(a,2),44(a,1))]. 2807 K(x,y) * ((z * T(x,y)) \ K(x,y)) = (z * x) \ K(x,y). [para(2782(a,1),199(a,1,2,1))]. 2810 L(K(x,y),x,z) = K(y,x) \ 1. [hyper(306,a,2177,a,b,2795,a),flip(a)]. 2811 a(x,y,K(y,z)) = 1. [hyper(54,a,2795,a)]. 2812 a(x,y,K(z,y)) = 1. [para(1909(a,1),2811(a,1,3))]. 2813 L(K(x,y),y,z) = K(x,y). [hyper(53,a,2812,a)]. 2814 a(x,T(y,z),K(u,y)) = 1. [para(1937(a,1),2812(a,1,3))]. 2815 K(x,(y \ z) \ 1) = K(x,z \ y). [hyper(64,a,2611,a(flip),b,2813,a)]. 2816 L(K(x,y),T(y,z),u) = K(x,y). [hyper(53,a,2814,a)]. 2817 L(K(x,y),x,z) != u | K(x,y) = u. [para(2810(a,2),2178(a,1))]. 2818 (x * T(y,z)) \ (x * y) = K(z,y). [hyper(64,a,1789,a(flip),b,2816,a)]. 2819 (x * y) / K(z,y) = x * T(y,z). [hyper(196,a,2816,a(flip),b,1789,a(flip))]. 2820 (x * T(y,z)) * K(z,y) = x * y. [hyper(121,a,2816,a(flip),b,1789,a(flip))]. 2821 (x * T(y,z)) * L(K(u,y),w,v5) = x * (T(y,z) * L(K(u,y),w,v5)). [para(2816(a,1),527(a,1,2,1))]. 2822 x * (y * K(x,z)) = T(x,z) * y. [hyper(2236,a,2784,a)]. 2824 (x * y) * K(x,z) = T(x,z) * y. [hyper(373,a,2784,a)]. 2825 T(x,y) * (x \ z) = K(x,y) * z. [hyper(314,a,2784,a),flip(a)]. 2826 (T(x,y) * z) / (x * z) = K(x,y). [hyper(132,a,2784,a)]. 2827 x * (T(x,y) \ z) = K(x,y) \ z. [hyper(118,a,10,a(flip),b,2784,a),flip(a)]. 2828 x \ (T(x,y) * z) = z * K(x,y). [hyper(118,a,2784,a(flip),b,2220,a(flip))]. 2829 x \ (T(x,y) * z) = K(x,y) * z. [hyper(118,a,2784,a(flip),b,2219,a(flip))]. 2832 ((T(x,y) * z) * u) / ((x * z) * u) != w | R(K(x,y),x * z,u) = w. [para(2784(a,1),621(a,1,1,1))]. 2833 (T(x,y) * z) \ (K(x,y) * (x * (z * u))) = L(L(u,z,x),x * z,K(x,y)). [para(2784(a,1),593(a,1,1))]. 2836 K(x,y) * (x \ (z * T(y,x))) = x \ (z * y). [hyper(118,a,2786,a(flip),b,2235,a),flip(a)]. 2838 L(L(T(x,y) \ 1,T(x,y),z),z * T(x,y),K(y,x)) = (z * x) \ (K(y,x) * z). [para(2786(a,1),505(a,2,1))]. 2839 K(x,(y * z) \ y) = K(z,x). [hyper(2077,a,2794,a)]. 2840 K((x \ y) \ 1,z) = K(y \ x,z). [para(10(a,1),2794(a,1,1,1,1))]. 2841 K((x / y) \ 1,z) = K(y / x,z). [para(851(a,1),2794(a,1,1,1))]. 2843 K(x \ y,z) = K(z,y \ x). [para(10(a,1),2839(a,1,2,1)),flip(a)]. 2844 K(x,(y * (z * u)) \ (y * z)) = K(L(u,z,y),x). [para(93(a,1),2839(a,1,2,1))]. 2845 K(x,((y * z) * u) \ (y * (z * u))) = K(a(y,z,u),x). [para(81(a,1),2839(a,1,2,1))]. 2846 (x * y) * K(z,(u * y) \ u) = x * T(y,z). [para(2839(a,2),2782(a,1,2))]. 2847 K(x \ 1,y \ z) = K(x,z \ y). [hyper(2107,a,2843,a)]. 2848 K(x / y,z) = K(z,x \ y). [hyper(1841,a,2843,a)]. 2849 K(x,(y * z) \ z) = K(y,x). [hyper(1840,a,2843,a),flip(a)]. 2850 (x \ y) * K(z,y \ x) = T(x \ y,z). [hyper(121,a,2843,a(flip),b,1935,a)]. 2852 K(x,y \ (z \ y)) != u | K(z,x) = u. [para(2843(a,1),1843(a,1))]. 2853 (x \ y) * K(z,y \ x) != u | T(x \ y,z) = u. [para(2843(a,1),1894(a,1,2))]. 2854 T(x,(y \ z) \ 1) = x * K(x,z \ y). [para(2843(a,1),2046(a,2,2))]. 2855 K(x,y \ z) != u | K(z \ y,x) = u. [para(2848(a,1),1860(a,1))]. 2856 (K(x,y) * z) * x = z * T(x,y). [hyper(2234,a,2799,a)]. 2857 K(x * y,z) * ((u * x) * y) = R(u,x,y) * T(x * y,z). [para(102(a,1),2799(a,1,2))]. 2858 K(x,y) * ((z * x) * T(x,u)) = (z * T(x,u)) * T(x,y). [para(1617(a,1),2799(a,1,2))]. 2859 (x * y) * K(y,z) != u | x * T(y,z) = u. [para(2800(a,1),262(a,1,2)),flip(b)]. 2861 ((x * y) * K(L(z,y,x),u)) \ (x * (y * T(z,u))) = L(z,y,x). [hyper(118,a,530,a(flip),b,2802,a)]. 2862 (x * (y * K(z,u))) \ (x * (y * T(z,u))) != w | L(z,y * K(z,u),x) = w. [para(2802(a,1),597(a,1,2,2))]. 2863 (x * (y * K(z,x))) * z = (x * y) * T(z,x). [para(2214(a,1),2802(a,1,1))]. 2864 L(x,K(x,y),z) = x. [hyper(1927,a,2804,a)]. 2866 K(x,1 / (y \ z)) = K(x,z \ y). [hyper(1977,a,2815,a)]. 2868 x * K(y,z \ x) = z * ((y * (z \ x)) / y). [hyper(121,a,2815,a(flip),b,2610,a)]. 2869 K(x,((y * z) \ y) \ 1) = K(x,z). [para(9(a,1),2815(a,2,2))]. 2870 K(x,L(y \ z,y,u) \ 1) = K(x,(u * z) \ (u * y)). [para(95(a,2),2815(a,1,2,1))]. 2872 (x * T(x \ y,z)) \ y = K(z,x \ y). [para(10(a,1),2818(a,1,2))]. 2874 (x / T(y,z)) * y = x * K(z,y). [hyper(308,a,2819,a),flip(a)]. 2875 (x * K(y,z)) / z = x / T(z,y). [hyper(119,a,79,a(flip),b,2819,a(flip)),flip(a)]. 2877 (x * K(y,z)) * T(z,y) = x * z. [hyper(36,a,2246,a(flip),b,2820,a),flip(a)]. 2878 (x * T(y,z)) * T(z,y) = (x * y) * z. [hyper(120,a,2820,a(flip),b,2803,a),flip(a)]. 2879 (T(x,y) \ z) * K(x,y) = x \ z. [hyper(118,a,10,a(flip),b,2822,a),flip(a)]. 2880 (x / y) * (z * K(y \ x,u)) = T(x / y,u) * z. [para(1820(a,1),2822(a,1,2,2))]. 2881 T(x,y \ x) * z = x * (z * K(y,x)). [para(1909(a,1),2822(a,1,2,2)),flip(a)]. 2882 T(x,y) * T(x,z) = x * T(T(x,y),z). [para(2014(a,1),2822(a,1,2)),flip(a)]. 2883 T(x,y) * (z * T(y,x)) = x * (z * y). [para(2820(a,1),2822(a,1,2)),flip(a)]. 2885 T(x,y) * (x \ z) = z * K(x,y). [hyper(649,a,2824,a),flip(a)]. 2886 ((x \ 1) * y) * K(z,x) = T(x \ 1,z) * y. [para(2074(a,1),2824(a,1,2))]. 2887 (x \ y) * T((x \ y) \ y,z) = K(x,z) * y. [hyper(1309,a,2825,a)]. 2889 K(x,y) * (x * z) != u | T(x,y) * z = u. [para(2826(a,1),256(a,1,1)),flip(b)]. 2890 x * (y * K(x,z)) != u | T(x,z) * y = u. [para(2828(a,1),262(a,1,2)),flip(b)]. 2891 T(x / y,z) \ x = K(x / y,z) \ y. [hyper(663,a,2829,a),flip(a)]. 2892 x * K((y * z) \ x,u) = y * (z * T(z \ (y \ x),u)). [hyper(121,a,2840,a(flip),b,2166,a)]. 2893 K(x \ (x / y),z) = K(y \ 1,z). [para(78(a,1),2840(a,1,1,1)),flip(a)]. 2894 K(L(x \ y,x,z) \ 1,u) = K((z * y) \ (z * x),u). [para(95(a,2),2840(a,1,1,1))]. 2895 K(x \ y,z) != u | K(z,y \ x) = u. [para(2840(a,1),2077(a,1))]. 2896 x * (y * K((x \ 1) \ y,z)) = T(x * y,z). [para(2840(a,1),2170(a,1,2,2))]. 2897 x * K((y * z) \ x,y) = z * ((y \ (z \ x)) * y). [para(2840(a,1),2251(a,1,2))]. 2898 K(L(x \ y,z,u) \ 1,w) = L(K(y \ x,w),z,u). [para(2840(a,1),2719(a,1,1)),flip(a)]. 2899 K((x / y) \ 1,z) = K(x \ y,z). [hyper(306,a,1820,a(flip),b,2841,a),flip(a)]. 2900 (x * (y * T(y \ z,u))) / (x * z) = K((x * z) / (x * y),u). [hyper(64,a,2165,a,b,2841,a)]. 2901 L(K(x,y),y,z) = K(x,((u * y) \ u) \ 1). [hyper(306,a,2813,a,b,2869,a)]. 2902 T(x / T(y,z),y) = y \ (x * K(z,y)). [hyper(230,a,2874,a,b,10,a)]. 2905 (x * K(y,z)) \ x = K(z,y). [para(2874(a,1),2801(a,1,1))]. 2906 (K(x,y) * z) * K(y,x) = z. [hyper(356,a,2905,a),flip(a)]. 2907 x / K(y,z) = x * K(z,y). [hyper(197,a,2905,a)]. 2908 (x * K(y,z)) * K(z,y) = x. [hyper(135,a,2905,a)]. 2909 (K(x,y) \ z) / z = K(y,x). [hyper(64,a,886,a,b,2905,a)]. 2910 x / (K(y,z) * x) = K(z,y). [hyper(64,a,815,a,b,2905,a)]. 2911 K(x,y) \ z = z * K(y,x). [hyper(40,a,303,a,b,2905,a)]. 2913 K(x,y) \ z = K(y,x) * z. [hyper(120,a,2905,a(flip),b,886,a),flip(a)]. 2914 K(x,y) * (K(y,x) * z) = z. [hyper(120,a,2905,a(flip),b,815,a)]. 2915 x * K(y,z) != u | u * K(z,y) = x. [para(2905(a,1),131(a,1,2)),flip(b)]. 2918 (T(x,y) * z) \ (x * z) = K(y,x). [para(2824(a,1),2905(a,1,1))]. 2919 x / (x * K(y,z)) = K(z,y). [hyper(196,a,151,a(flip),b,2906,a(flip))]. 2920 x * K(y,z) != u | K(z,y) * u = x. [para(2906(a,1),45(a,1)),flip(a)]. 2921 K(x,y) * z != u | K(y,x) * u = z. [para(2906(a,1),357(a,2))]. 2922 (T(x,y) * z) * K(y,x) = x * z. [para(2784(a,1),2906(a,1,1))]. 2923 (x * K(y,z)) \ x != u | K(z,y) = u. [para(2907(a,1),271(a,1,1)),flip(b)]. 2925 T(x,y) * (z * K(y,x)) = x * z. [hyper(121,a,2908,a(flip),b,2828,a),flip(a)]. 2926 x * L(y,K(z,u),x * K(u,z)) = (x * K(u,z)) * (K(z,u) * y). [hyper(120,a,2908,a(flip),b,186,a)]. 2927 K(x / y,z) \ u = u * K(z,y \ x). [hyper(118,a,2908,a(flip),b,1834,a)]. 2928 (x * y) \ ((x * (y * K(z,u))) * K(u,z)) = a(x,y * K(z,u),K(u,z)). [para(2908(a,1),14(a,2,1,2)),flip(a)]. 2929 K(x,y) * z != u | u * K(y,x) = z. [para(2908(a,1),357(a,2))]. 2931 K(x,y) \ (y * z) = T(y,x) * z. [hyper(38,a,2826,a,b,2909,a),flip(a)]. 2932 K(x,y) * (K(y,z) * (K(y,x) * u)) = K(y,z) * u. [hyper(2758,a,2910,a),flip(a)]. 2933 K(x,y) != z / u | K(y,x) * z = u. [para(2910(a,1),46(a,1))]. 2934 K(x,y) * (K(y,x) * z) != u | u = z. [para(2910(a,1),256(a,1,1))]. 2935 K(x,y) \ z != u | K(y,x) * z = u. [para(2910(a,1),271(a,1,1)),flip(b)]. 2936 (K(x,y) * z) \ z = T(K(y,x),z). [para(2910(a,1),400(a,1,1)),flip(a)]. 2938 x * (T(x,y) \ z) = z * K(y,x). [hyper(64,a,2827,a,b,2911,a)]. 2939 K(x,y) * (z * K(y,x)) != u | u = z. [para(2911(a,1),262(a,1,2))]. 2941 K(x,y) \ T(y,z) = T(y,x) * K(y,z). [hyper(306,a,2020,a(flip),b,2913,a),flip(a)]. 2942 x * (T(x,y) \ z) = K(y,x) * z. [hyper(64,a,2827,a,b,2913,a)]. 2943 (K(x,y) * z) * K(z,u) = T(K(y,x) \ z,u). [para(2913(a,1),1904(a,1,1))]. 2945 L((K(x,y) * z) \ u,K(x,y) * z,K(y,x)) = z \ (K(y,x) * u). [para(2914(a,1),95(a,2,1))]. 2946 (x * y) \ ((x * K(z,u)) * (K(u,z) * y)) != w | a(x,K(z,u),K(u,z) * y) = w. [para(2914(a,1),1084(a,1,1,2))]. 2947 (T(x,y) * z) * T(y,x) = (x * z) * y. [para(2824(a,1),2877(a,1,1))]. 2948 (x \ y) * K(z,x) = T(x,z) \ y. [hyper(36,a,2908,a,b,2879,a)]. 2949 K(x,y) * (y \ z) = T(y,x) \ z. [hyper(36,a,2906,a,b,2879,a)]. 2950 T(x,T(y,z) \ u) = T(x,y \ u). [para(2879(a,1),1478(a,1,2)),flip(a)]. 2951 K(x,T(y,z) \ u) = K(x,y \ u). [para(2879(a,1),1993(a,1,2)),flip(a)]. 2953 T(x,y * (T(z,u) \ w)) = T(x,y * (z \ w)). [para(2879(a,1),2727(a,1,2,2)),flip(a)]. 2954 (x * K(y,z)) * K(y \ x,u) = T(y,z) * T(y \ x,u). [para(2885(a,1),2782(a,1,1))]. 2963 K((x * y) \ y,z) = K(x \ 1,z). [para(11(a,1),2899(a,1,1,1)),flip(a)]. 2965 T(x,y) * (T(y,x) * z) = x * (y * z). [hyper(121,a,2922,a(flip),b,2828,a),flip(a)]. 2966 T(x,y) * (((x \ 1) * z) * K(y,x)) = L(z,x \ 1,x). [hyper(306,a,264,a(flip),b,2925,a),flip(a)]. 2968 L(T(K(x,y),z),K(y,x) * z,u) = (u * (K(y,x) * z)) \ (u * z). [para(2936(a,1),95(a,1,1))]. 2969 K(x,T(y,z)) * K(z,y) = T(T(y,z),x) \ y. [hyper(35,a,2925,a,b,2938,a)]. 2973 K(x,T(y,z) \ u) != w | K(x,y \ u) = w. [para(2948(a,1),1994(a,1,2))]. 2974 K(x,y / x) * ((y / x) \ z) = (x \ y) \ z. [para(108(a,1),2949(a,2,1))]. 2975 T(x,y \ x) \ z = K(x,y) * (x \ z). [para(1930(a,1),2949(a,1,1)),flip(a)]. 2977 T(x,(y * z) \ u) = T(x,(z * y) \ u). [para(792(a,1),2950(a,1,2,1))]. 2978 T(x,((y / z) \ 1) \ u) = T(x,((z \ y) \ 1) \ u). [para(1159(a,1),2950(a,1,2,1))]. 2979 K(x,T(y,z) \ u) = K(x,T(y,w) \ u). [hyper(306,a,2951,a,b,2951,a)]. 2980 K(x,((y \ z) * y) \ u) = K(x,z \ u). [hyper(64,a,1680,a,b,2951,a)]. 2981 T(K(x,y),z) = K(((x \ 1) * u) \ u,y). [hyper(306,a,956,a,b,2963,a)]. 2982 L(x,T(y,z) \ y,y) = x. [hyper(306,a,10,a(flip),b,2787,a),flip(a)]. 2985 L(x,K(y,z),z) = x. [para(1787(a,2),2982(a,1,2))]. 2986 (x * (K(y,x) * z)) / z = x * K(y,x). [hyper(196,a,2985,a(flip),b,18,a(flip))]. 2987 (x * K(y,x)) * z = x * (K(y,x) * z). [hyper(121,a,2985,a(flip),b,18,a(flip))]. 2988 L(x,K(y,z),z * y) = x. [para(1809(a,1),2985(a,1,2))]. 2989 L(x,K(y,z),y) = x. [para(1930(a,1),2985(a,1,2))]. 2990 L(x,y \ T(y,z),y) = x. [para(1891(a,1),2989(a,1,2))]. 2991 (x * y) \ ((y * x) * z) = K(x,y) \ z. [hyper(64,a,611,a(flip),b,2988,a)]. 2992 (x * y) * (K(y,x) * z) = (y * x) * z. [hyper(121,a,2988,a(flip),b,300,a),flip(a)]. 2993 L(x,y \ R(T(y,z),u,y),y) = x. [para(810(a,2),2990(a,1,2,2))]. 2994 L(x,y \ R(T(y,z),u,y),y) = w \ (w * x). [hyper(306,a,9,a,b,2993,a),flip(a)]. 2995 K(x,y \ L(x,z,u)) != w | K(y,x) = w. [para(2441(a,1),2852(a,1))]. 2999 (x / (y \ z)) * (z / y) = x * K(y,y \ z). [para(1733(a,1),2773(a,1,2))]. 3000 K(x,y) * (y * z) = ((x * y) / x) * z. [para(1741(a,2),2774(a,1,1)),flip(a)]. 3001 K(x,x \ y) * ((x \ y) * z) = (y / x) * z. [para(1742(a,1),2774(a,1,1)),flip(a)]. 3002 T(x,y) \ (z * (x * y)) = x \ (z * (y * x)). [hyper(118,a,2785,a(flip),b,2938,a),flip(a)]. 3003 (x * (y * z)) * u != x * (z * y) | K(z,y) = u. [para(2785(a,1),44(a,1)),flip(a)]. 3004 (x * (y * z)) \ (x * (z * y)) != u | K(z,y) = u. [para(2785(a,1),286(a,1,2)),flip(b)]. 3006 T(x,y * (z * u)) != w | T(x,y * (u * z)) = w. [para(2785(a,1),1536(a,1,2))]. 3007 K(x,y) \ ((x * y) * z) = (y * x) * z. [hyper(125,a,2790,a)]. 3008 T(x,y) \ ((x * y) * z) = x \ ((y * x) * z). [hyper(118,a,2790,a(flip),b,2942,a),flip(a)]. 3010 K(x * y,z) * ((z * x) * y) = ((x * y) * z) * a(z,x,y). [para(81(a,1),2790(a,1,2))]. 3011 (x * y) \ (z * T(x,y)) = (y * x) \ (z * x). [hyper(118,a,2820,a(flip),b,2791,a),flip(a)]. 3016 (x * K((y \ 1) \ x,z)) * y = T(x * y,z). [hyper(120,a,2797,a(flip),b,1376,a(flip))]. 3019 T(x \ y,(y \ x) * z) = (x \ y) * K(z,y \ x). [para(1884(a,1),2850(a,1,2)),flip(a)]. 3020 T(x,(y \ z) \ 1) = T(x,z \ y). [hyper(306,a,1892,a,b,2854,a),flip(a)]. 3021 T(x,(y \ z) \ 1) != u | T(x,z \ y) = u. [para(2854(a,2),1894(a,1))]. 3022 T(x,(y / z) \ 1) = T(x,y \ z). [hyper(2113,a,3020,a)]. 3023 T(x * (y \ z),z \ y) = (y \ z) * x. [hyper(2105,a,3020,a),flip(a)]. 3024 T((x \ y) \ z,y \ x) = z / (x \ y). [hyper(2073,a,3020,a),flip(a)]. 3025 T(x,y \ z) * (z \ y) = (z \ y) * x. [hyper(120,a,3020,a(flip),b,2051,a(flip))]. 3027 T(x,(y / z) \ 1) = T(x,z / y). [hyper(306,a,1498,a,b,3022,a),flip(a)]. 3028 T(x,y \ (z \ y)) = T(x,z \ 1). [para(75(a,1),3022(a,1,2,1)),flip(a)]. 3029 T(x,y \ (z \ 1)) = T(x,z \ (y \ 1)). [para(579(a,1),3022(a,1,2))]. 3031 T(x,(y / z) \ 1) != u | T(x,y \ z) = u. [para(3027(a,2),1539(a,1))]. 3035 (x * (y * T(y \ (x \ z),u))) \ z = K(u,(x * y) \ z). [para(1282(a,1),2872(a,1,1))]. 3036 (x * T(y,L(z,y,x))) \ (x * (y * z)) = T(L(z,y,x),y). [hyper(118,a,93,a(flip),b,2878,a)]. 3037 (x * (y * z)) \ ((x * y) * z) = a(x,T(y,z),T(z,y)). [para(2878(a,1),918(a,1,2))]. 3038 a(x,T(y,z),T(z,T(y,z))) = (x * (y * z)) \ ((x * y) * z). [para(2878(a,1),2388(a,1,2)),flip(a)]. 3039 (x * T(T(x,y),y)) / ((x / y) \ T(x,y)) = ((x / y) \ 1) \ x. [para(2882(a,1),2503(a,1,1))]. 3041 T(x / y,z) \ x = y * K(z,y \ x). [hyper(64,a,2891,a,b,2927,a)]. 3043 x \ T(y,z) != T(y,u) * K(y,z) | K(u,y) = x. [para(2941(a,1),49(a,1)),flip(a)]. 3044 (T(x,y) * (z * T(y,x))) \ ((x * z) * y) = a(T(x,y),z,T(y,x)). [hyper(118,a,2947,a(flip),b,81,a)]. 3046 (x * y) \ (x * (y * z)) = L(z,T(y,x),T(x,y)). [para(2965(a,1),920(a,1,2))]. 3047 (x * (y * z)) \ ((x * y) * z) = a(T(x,y),T(y,x),z). [para(2965(a,1),919(a,1,1))]. 3048 T(x,(y * z) \ ((u * z) * y)) = T(x,R(T(u,y * z),z,y)). [para(1513(a,1),2977(a,1,2)),flip(a)]. 3050 K(x,T(y * z,u) \ w) = K(x,(z * y) \ w). [hyper(306,a,1678,a(flip),b,2979,a),flip(a)]. 3051 ((x * y) / x) * z = y * (K(x,y) * z). [hyper(120,a,1726,a,b,2986,a)]. 3052 R(x,y,z) * (K(u,R(x,y,z)) * w) = R(x * K(u,x),y,z) * w. [hyper(120,a,1883,a(flip),b,2986,a),flip(a)]. 3054 (x * y) * (T(y,x) * z) = (y * x) * (y * z). [hyper(121,a,2931,a(flip),b,2991,a)]. 3055 (x * y) \ (y * T(x,z)) = K(y,x) * K(x,z). [hyper(118,a,2782,a(flip),b,2992,a)]. 3056 K(x,y) * ((x * y) \ z) = (y * x) \ z. [hyper(118,a,10,a(flip),b,2992,a),flip(a)]. 3057 (x * (y * (z * K(y,x)))) \ ((y * x) * z) = a(x,y,z * K(y,x)). [para(2992(a,1),1011(a,1,2))]. 3058 K(x * L(y,z,u),y) = K(x,y). [hyper(2995,a,2849,a)]. 3059 K(x \ (y * L(x,z,u)),x) = K(y,x). [hyper(1889,a,3058,a)]. 3060 K(x / L(y,z,u),y) = K(y \ x,y). [para(12(a,1),3059(a,1,1,2)),flip(a)]. 3061 K(x \ (y * (z * x)),x) = K(y * z,x). [para(93(a,1),3059(a,1,1,2))]. 3062 ((x * y) / x) \ z = y \ (K(x,y) \ z). [hyper(694,a,3000,a)]. 3063 (x * (y \ z)) * (z \ y) = (z \ y) * ((y \ z) * x). [hyper(121,a,3023,a(flip),b,22,a(flip)),flip(a)]. 3064 ((x \ y) * z) / (y \ x) = (y \ x) \ (z * (x \ y)). [hyper(119,a,3023,a(flip),b,793,a(flip))]. 3066 (x \ y) * T((y \ x) \ z,x \ y) = ((x \ y) * z) / (y \ x). [hyper(64,a,2636,a(flip),b,3024,a)]. 3067 T(x * y,(z / x) \ z) * (z \ (z / x)) = x * ((z \ (z / x)) * y). [hyper(306,a,2640,a(flip),b,3025,a),flip(a)]. 3069 ((x * y) / x) * (x * z) = y * (T(x,y) * z). [para(2784(a,1),3051(a,2,2))]. 3070 ((x * y) \ z) * T(x,y) = ((y * x) \ z) * x. [para(3056(a,1),2856(a,1,1)),flip(a)]. 3071 ((x * y) / x) \ ((x * y) * z) = y \ ((y * x) * z). [para(3007(a,1),3062(a,2,2))]. 3073 K(x,((y * z) \ y) \ 1) != u | K(x,z) = u. [para(2901(a,1),437(a,1))]. 3074 K(x,(y * z) \ u) != w | K(x,(z * y) \ u) = w. [para(792(a,1),2973(a,1,2,1))]. 3075 K(x,((y \ z) * y) \ u) != w | K(x,z \ u) = w. [para(793(a,1),2973(a,1,2,1))]. 3076 T(x,(y * (z \ y)) \ 1) != u | T(x,y \ (y \ z)) = u. [para(322(a,1),3031(a,1,2,1))]. 3077 T(x,y \ (z \ 1)) != u | T(x,z \ (y \ 1)) = u. [para(579(a,1),3031(a,1,2))]. 3078 L(K(x,y),y,z) != u | K(x,y) = u. [para(2901(a,2),3073(a,1))]. 3079 K(x,y) * ((x / y) * z) = (y \ x) * z. [para(406(a,1),2793(a,2,1))]. 3080 ((x / y) * z) * K(x,y) = (y \ x) * z. [hyper(373,a,3079,a)]. 3081 K(x,y) * ((x / y) * (z * K(y \ x,u))) = T(y \ x,u) * z. [hyper(306,a,2822,a(flip),b,3079,a),flip(a)]. 3082 K(x,y) * ((x / (x * y)) * z) = ((x * y) \ x) * z. [para(1811(a,1),3079(a,1,1))]. 3083 K(x,y * ((z / u) * w)) = K(x,y * ((u \ z) * w)). [para(3079(a,1),2730(a,1,2,2)),flip(a)]. 3084 K(x,y) * (z * T(x,u)) = z * T(T(x,y),u). [para(23(a,1),2796(a,2,2))]. 3085 x / (x * T(y,z)) = T(x / (x * y),z). [hyper(196,a,2846,a(flip),b,3041,a)]. 3086 x * T(x / (x * (y \ x)),z) = x / T(x / y,z). [para(3085(a,1),2195(a,1,2))]. 3087 (x * ((y / z) / x)) * z = y * K(x,(x * z) \ y). [hyper(306,a,2712,a(flip),b,2868,a)]. 3088 T(K(x,y) \ z,u) = K(y,x) * T(z,u). [hyper(2859,a,2943,a),flip(a)]. 3090 K(x,y) * T(z * K(y,x),u) = T(z,u). [para(248(a,1),3088(a,1,1)),flip(a)]. 3091 T(x * K(y,z),u) = K(y,z) * T(x,u). [para(2911(a,1),3088(a,1,1))]. 3092 T(x * K(y,z),u) = T(x,u) * K(y,z). [hyper(2929,a,3090,a),flip(a)]. 3093 (x * T(y * K(z,u),w)) \ ((x * K(z,u)) * T(y,w)) != v5 | a(x,K(z,u),T(y,w)) = v5. [para(3091(a,2),1084(a,1,1,2))]. 3094 x * (T(y,x) * K(z,u)) = (y * K(z,u)) * x. [hyper(121,a,3092,a(flip),b,22,a(flip))]. 3096 x * T(y * K(x,z),u) != w | T(x,z) * T(y,u) = w. [para(3092(a,2),2890(a,1,2))]. 3097 T(x,y * ((z / u) \ w)) = T(x,y * ((u \ z) \ w)). [para(108(a,1),2953(a,1,2,2,1)),flip(a)]. 3098 T(T(x,y),z) \ x = K(y,x) * K(z,x). [hyper(1957,a,2969,a),flip(a)]. 3100 ((x / y) \ z) * K(y,y \ x) = (y \ x) \ z. [hyper(1972,a,2974,a)]. 3101 K(x,x \ y) * ((y / x) \ z) = (x \ y) \ z. [para(1777(a,1),2974(a,1,1))]. 3102 (x \ y) * (z * K(x,x \ y)) = (y / x) * z. [hyper(2230,a,3001,a)]. 3103 T((x * y) \ ((z * x) * y),(y * x) \ 1) = R(z,x,T(y,x)). [para(3011(a,1),2095(a,1,1))]. 3104 (x * (T(y,x) * (T(x,y) * z))) \ ((x * y) * (x * z)) = a(x,T(y,x),T(x,y) * z). [para(3054(a,1),221(a,1,2))]. 3105 (x * y) \ (y * T(x,z)) = K(x,z) * K(y,x). [hyper(306,a,244,a,b,3055,a),flip(a)]. 3106 a((x * y) / x,x,z) = (y * (T(x,y) * z)) \ ((x * y) * z). [para(3069(a,1),84(a,1,1)),flip(a)]. 3107 T(x,(y \ z) \ u) != w | T(x,(z / y) \ u) = w. [para(3100(a,1),1536(a,1,2))]. 3109 K(x,y) * ((y / x) \ z) = (x \ y) \ z. [para(1801(a,1),3101(a,1,1))]. 3110 ((x \ y) \ z) * K(y,x) = (y / x) \ z. [hyper(2929,a,3109,a)]. 3111 T(x,(y / z) \ u) != w | T(x,(z \ y) \ u) = w. [para(3110(a,1),1536(a,1,2))]. 3112 (x \ y) * (z * K(x,y)) = (y / x) * z. [para(1801(a,1),3102(a,1,2,2))]. 3113 ((x / y) * z) / (y \ x) = T(z * K(y,x),x \ y). [hyper(119,a,3112,a(flip),b,3025,a)]. 3115 K(x,y) * K(L(y,z,u),x) != w | K(x * L(y,z,u),x * y) = w. [para(3105(a,1),2691(a,1))]. 3117 L(x,y,z) = (y * z) \ (z * ((y * x) * K(y,z))). [para(2213(a,1),2788(a,2,2))]. 3118 (x * y) * L(K(z,u),x,y) = (x * K(z,u)) * y. [hyper(64,a,1855,a(flip),b,2789,a),flip(a)]. 3123 L(x,T(y,z),T(z,y)) != u | L(x,y,z) = u. [para(3046(a,1),597(a,1))]. 3125 K(x,T(y * z,u) \ w) != v5 | K(x,(z * y) \ w) = v5. [para(2951(a,2),3074(a,1))]. 3126 L(x,y,z) = (y * z) \ (z * (T(y,z) * x)). [para(2824(a,1),3117(a,2,2,2))]. 3127 L(x,T(y,z),z) = L(x,y,z). [hyper(306,a,223,a(flip),b,3126,a)]. 3128 (x * y) * L(z,x,y) = y * (T(x,y) * z). [hyper(121,a,3126,a,b,xx)]. 3129 L(T(x,y) \ z,x,y) = (x * y) \ (y * z). [para(10(a,1),3126(a,2,2,2))]. 3131 L(L(x,y,z),K(u,w),w * u) = L(x,T(y,z),z). [hyper(306,a,2988,a,b,3127,a)]. 3132 L(x,y / z,z) = L(x,z \ y,z). [para(108(a,1),3127(a,1,2)),flip(a)]. 3133 L(x,T(y,z),T(z,u)) = L(x,y,T(z,u)). [para(1484(a,1),3127(a,1,2))]. 3134 L(x,T(y,T(z,u)),z) = L(x,y,z). [para(1484(a,2),3127(a,1,2))]. 3135 L(x,T(y,T(z,u)),z) = L(x,T(y,K(w,v5)),z). [para(1533(a,1),3127(a,1,2))]. 3136 (L(x,y,z) * (y * z)) \ (x * (y * z)) = a(z,T(y,z),T(x,y * z)). [para(3127(a,1),2647(a,1,1,1))]. 3137 L(x,y \ (y / z),y) = L(x,y \ (z \ y),y). [para(834(a,1),3132(a,1,2))]. 3138 L(x,y,T(z,y)) = L(x,y,z). [hyper(3123,a,3133,a),flip(a)]. 3139 L(x,y,z / y) = L(x,y,y \ z). [para(108(a,1),3138(a,1,3)),flip(a)]. 3140 L(x,y,y * (z / y)) = L(x,y,z). [para(813(a,1),3138(a,1,3)),flip(a)]. 3141 L(x,y \ 1,y / z) = L(x,y \ 1,z \ y). [para(2067(a,1),3138(a,1,3))]. 3142 L(T(x,y),y,y \ z) = z \ ((z / y) * (x * y)). [hyper(64,a,1092,a(flip),b,3139,a),flip(a)]. 3143 L(x,y,y \ (T(y,z) * u)) = L(x,y,T(y,z) * (u / y)). [para(1094(a,1),3139(a,1,3)),flip(a)]. 3144 x / L(y,z,z \ x) = (x / (z * y)) * z. [para(3139(a,1),1091(a,1,2))]. 3145 L(x \ y,x,x \ z) * z = T((z / x) * y,z). [para(3139(a,1),1132(a,1,1))]. 3146 x * L(y,z,z \ x) != u | (x / z) * (z * y) = u. [para(3139(a,1),1093(a,1,2))]. 3147 L(x,y,y \ x) \ x = y * (x \ (x / y)). [para(3139(a,1),2402(a,1,1))]. 3148 L(x,T(y,z),z) = L(x,y,y * (z / y)). [hyper(306,a,3127,a,b,3140,a)]. 3149 x \ (L(y,z,x) * (z * x)) = T(z,x) * T(y,z * x). [hyper(742,a,3128,a)]. 3150 x / (y * (x \ (x / y))) = L(x,y,y \ x). [hyper(197,a,3147,a)]. 3151 R(x,y,y \ x) = L(x,y,y \ x). [hyper(64,a,1148,a(flip),b,3150,a)]. 3152 L(x,y,y \ x) * z != x | y * (x \ (x / y)) = z. [para(3150(a,1),127(a,1,1))]. 3153 L(x,y,y \ x) * x = (x * y) * (y \ x). [hyper(120,a,3151,a(flip),b,101,a)]. 3154 x * L(x,y,y \ x) = (x * y) * (y \ x). [hyper(485,a,3153,a)]. 3156 L(x,T(y,K(z,u)),w) = L(x,y,w). [hyper(64,a,3134,a(flip),b,3135,a),flip(a)]. 3157 L(x,(y \ 1) \ 1,z) = L(x,y,z). [para(334(a,1),3156(a,1,2))]. 3158 L(x,T(y,y \ 1),z) = L(x,y,z). [para(383(a,1),3156(a,1,2))]. 3159 L(x,K(y,K(z,u)) * w,v5) = L(x,w,v5). [para(545(a,1),3156(a,1,2))]. 3160 (x * T(y,y \ 1)) * L(z,y,x) = x * (T(y,y \ 1) * z). [hyper(121,a,3158,a(flip),b,18,a(flip))]. 3161 L(x,y * K(z \ 1,z),u) = L(x,y,u). [para(385(a,1),3159(a,1,2))]. 3162 L(x,y * K(z \ 1,z),u) = (u * y) \ (u * (y * x)). [hyper(306,a,18,a(flip),b,3161,a),flip(a)]. 3163 L((x \ (x / y)) \ z,x \ (y \ x),x) = (x / y) \ (x * z). [hyper(677,a,3137,a),flip(a)]. 3164 R(K(x,y),z,u) = L(K(x,y),z,u). [hyper(35,a,2244,a,b,3118,a)]. 3165 ((x * K(y,z)) * u) / (x * u) = L(K(y,z),x,u). [hyper(119,a,3118,a(flip),b,738,a)]. 3166 L(K(x,y),z,u) * (z * u) = (K(x,y) * z) * u. [hyper(120,a,3164,a(flip),b,20,a(flip))]. 3167 R(K(x,y),x,z) != u | K(x,y) = u. [para(3164(a,2),2817(a,1))]. 3168 L(x,T(y,z),z) != u | L(x,y,z) = u. [para(3131(a,1),444(a,1))]. 3169 L(x,L(T(y,z),u,w),z) != v5 | L(x,L(y,u,w),z) = v5. [para(25(a,2),3168(a,1,2))]. 3171 L(x,y,y * (z / y)) != u | L(x,y,z) = u. [para(3148(a,1),3168(a,1))]. 3172 L(x,y,(y * z) / y) != u | L(x,y,z) = u. [para(850(a,2),3171(a,1,3))]. 3173 L(x \ (y \ (x * z)),x,z) = (y * x) \ (x * z). [hyper(3172,a,1428,a)]. 3174 L(x,y,K(z,T(u,w))) != v5 | L(x,y,K(z,u)) = v5. [para(1943(a,2),3172(a,1,3))]. 3175 L(K(x,y),z,u) != w | R(K(x,y),z,u) = w. [para(3165(a,1),1169(a,1))]. 3176 K(x,y) != z | R(K(x,y),y,u) = z. [para(2813(a,1),3175(a,1))]. 3177 L(x \ (x \ (x * (x * y))),x,x * y) = L(y,x,x). [hyper(306,a,18,a,b,3173,a),flip(a)]. 3178 L(x,y,K(z,u / w)) != v5 | L(x,y,K(z,w \ u)) = v5. [para(1966(a,1),3174(a,1,3))]. 3179 T(x \ y,(y \ x) * z) = T(x \ y,z). [hyper(306,a,2850,a(flip),b,3019,a),flip(a)]. 3180 T(x,y \ 1) \ ((y * x) * z) = x \ ((x * y) * z). [para(2051(a,2),3071(a,1,1))]. 3181 K(x,y) * ((x / (x * y)) * z) = (x \ (x / y)) * z. [para(320(a,1),3082(a,2,1))]. 3182 x / T(x / y,z) = x * T(y / x,z). [para(387(a,1),3086(a,1,2,1)),flip(a)]. 3183 x / (y \ ((x / z) * y)) = T(z * K(y,x),x \ y). [hyper(64,a,1030,a(flip),b,3113,a)]. 3184 L(x \ (x * y),x,x * y) = L(y,x,x). [para(9(a,1),3177(a,1,1,2))]. 3185 L(x,y,y * x) = L(x,y,y). [para(9(a,1),3184(a,1,1))]. 3187 L(x \ y,x,y) = L(x \ y,x,x). [para(10(a,1),3185(a,1,3))]. 3188 L(x \ y,x,x) = (y * x) \ (y * y). [hyper(64,a,95,a(flip),b,3187,a),flip(a)]. 3190 L(L(x \ 1,x,y) \ (x \ y),L(x \ 1,x,y),L(x \ 1,x,y)) = (x \ (y / x)) \ ((x \ y) * (x \ y)). [para(1070(a,1),3188(a,2,1))]. 3191 T(x,y \ 1) \ ((T(x,y \ 1) * y) * z) = x \ ((x * y) * z). [para(2054(a,2),3180(a,1,2,1))]. 3192 K(x,y) * ((x / (x * y)) * T(z,(x \ (x / y)) \ 1)) = T((x \ (x / y)) * z,(x \ (x / y)) \ 1). [hyper(306,a,1382,a,b,3181,a),flip(a)]. 3193 T(x * K(y,z),z \ y) = z / T(z / x,y). [para(22(a,2),3183(a,1,2)),flip(a)]. 3194 T(x * K(y,z),z \ y) = z * T(x / z,y). [hyper(306,a,3182,a(flip),b,3193,a),flip(a)]. 3195 K(x,y) * (x * T(z / x,y)) = T(z,x \ y). [para(3194(a,1),3090(a,1,2))]. 3196 T(x,y) * T(z / x,y) = T(z,x \ y). [hyper(2889,a,3195,a)]. 3197 T(x,y \ z) * T(u / x,(z \ y) \ 1) = T(u,x \ ((z \ y) \ 1)). [para(3020(a,1),3196(a,1,1))]. 3198 L(K(x \ y,z),y,u) = K((u * x) \ (u * y),z). [hyper(64,a,2898,a(flip),b,2894,a)]. 3199 L(K((x \ y) \ z,u),z,x) = K(y \ (x * z),u). [para(10(a,1),3198(a,2,1,1))]. 3200 K((x * (y / z)) \ (x * y),u) = L(K(z,u),y,x). [para(78(a,1),3198(a,1,1,1)),flip(a)]. 3201 L(K(x \ y,z),y,u) = K(L(x \ y,x,u),z). [para(95(a,2),3198(a,2,1))]. 3202 L(K((K(x,y) * z) \ u,w),u,K(y,x)) = K(z \ (K(y,x) * u),w). [para(2914(a,1),3198(a,2,1,1))]. 3203 L(K(L(x,y,z) \ x,u),x,z * y) = K(a(z,y,x),u). [para(2551(a,2),3201(a,2,1))]. 3204 K((x \ y) \ z,x) = K(y \ (x * z),x). [hyper(64,a,2226,a(flip),b,3199,a)]. 3205 K((x \ y) \ (x \ z),x) = K(y \ z,x). [para(10(a,1),3204(a,2,1,2))]. 3206 K((x * y) \ z,x) = K(y \ (x \ z),x). [para(9(a,1),3205(a,1,1,1)),flip(a)]. 3207 x * K(y \ (z \ x),z) = y * ((z \ (y \ x)) * z). [para(3206(a,1),2897(a,1,2))]. 3208 K(L(x,y / x,z),u) = L(K(x,u),y,z). [para(97(a,2),3200(a,1,1))]. 3209 L(K(T(x,y),T(z,u)),w,v5) = K(L(x,w / T(x,y),v5),z). [hyper(2024,a,3208,a),flip(a)]. 3210 L(K(x,y),z * x,u) = K(L(x,z,u),y). [para(11(a,1),3208(a,1,1,2)),flip(a)]. 3212 L(K(x,y),z,u) \ 1 != w | K(y,L(x,z / x,u)) = w. [para(3208(a,1),2178(a,1,1))]. 3213 K(L(x,y / x,z),u) * (K(u,w) * v5) = K(u,w) * (L(K(x,u),y,z) * v5). [para(3208(a,1),2751(a,1,2,1)),flip(a)]. 3214 L(K(x,y),z * K(u,x),w) = K(L(x,z / T(x,u),w),y). [para(2875(a,1),3208(a,1,1,2)),flip(a)]. 3215 K(L(x,y,z),z) = K(x,z). [hyper(64,a,2226,a(flip),b,3210,a),flip(a)]. 3216 (x * (y * z)) * K(L(z,y,x),y) = x * (z * y). [hyper(121,a,3210,a(flip),b,301,a)]. 3217 T(x * K(y,x),L(y,z,x)) = x. [para(3215(a,1),1731(a,1,1,2))]. 3218 T(x,L(y,z,x)) = T(x,y). [para(3217(a,1),1735(a,1,1)),flip(a)]. 3219 T(x,L(y,z,x)) = x * K(x,y). [hyper(306,a,1892,a(flip),b,3218,a),flip(a)]. 3220 L(x,y,z) * T(z,x) = z * L(x,y,z). [hyper(121,a,3218,a(flip),b,22,a(flip))]. 3221 T(x,(x \ y) \ z) = T(x,y \ (x * z)). [para(605(a,1),3218(a,1,2)),flip(a)]. 3222 T(x \ y,y \ ((y / x) * (z * x))) = T(x \ y,T(z,x)). [para(3142(a,1),3218(a,1,2))]. 3223 K(x,L(y,z,x)) = K(x,y). [hyper(1912,a,3219,a)]. 3224 K(x,(x * y) \ z) = K(x,y \ (x \ z)). [para(293(a,1),3223(a,1,2))]. 3225 K(L(x,y,z),L(u,w,x)) = L(K(x,u),y * x,z). [para(3223(a,1),3210(a,1,1)),flip(a)]. 3226 T(L(x,y,z) * z,x) = z * L(x,y,z). [hyper(1608,a,3220,a)]. 3227 K(x,(y * x) \ z) = K(x,y \ (x \ z)). [hyper(3074,a,3224,a)]. 3228 (x * ((y / z) / x)) * z = y * K(x,z \ (x \ y)). [para(3224(a,1),3087(a,2,2))]. 3229 (x * L(y,z,x)) / y != u | y \ (L(y,z,x) * x) = u. [para(3226(a,1),839(a,1,1))]. 3230 K(L(x,y,z),y) = K(x,y). [hyper(3003,a,3216,a),flip(a)]. 3231 K(L(x,y,z),y) = (u * T(y,x)) \ (u * y). [hyper(306,a,2818,a,b,3230,a),flip(a)]. 3233 L(x,y,z) * T(y,x) = y * L(x,y,z). [hyper(138,a,3231,a(flip)),flip(a)]. 3234 T(x,L(y,x,z)) = T(x,y). [hyper(231,a,3233,a)]. 3236 T(x,L(y,x,z)) = x * K(x,y). [hyper(306,a,1892,a(flip),b,3234,a),flip(a)]. 3237 T(x,(y * x) \ z) = T(x,x \ (y \ z)). [para(293(a,1),3234(a,1,2))]. 3238 K(x,L(y,x,z)) = K(x,y). [hyper(1912,a,3236,a)]. 3239 K(L(x,y,z),y) = K(x,L(y,x,u)). [hyper(306,a,3230,a,b,3238,a)]. 3240 K(x,(y * x) \ z) = K(x,x \ (y \ z)). [para(293(a,1),3238(a,1,2))]. 3241 K(x,L(y,x,z)) != u | K(x,y) = u. [para(3239(a,1),1844(a,1))]. 3243 T(x,(y * x) \ z) = T(x,y \ z). [hyper(306,a,404,a(flip),b,3237,a),flip(a)]. 3244 T(x,(x * y) \ z) = T(x,y \ z). [hyper(64,a,2977,a,b,3243,a)]. 3245 T(x,(x \ y) \ z) = T(x,y \ z). [para(10(a,1),3244(a,1,2,1)),flip(a)]. 3246 T(x,y \ (x * z)) = T(x,y \ z). [hyper(64,a,3221,a(flip),b,3245,a)]. 3247 K(x,(y * x) \ z) = K(x,y \ z). [hyper(306,a,1801,a(flip),b,3240,a),flip(a)]. 3248 K(x,y \ (x \ z)) = K(x,x \ (y \ z)). [hyper(64,a,3227,a(flip),b,3240,a)]. 3249 K(x,(x \ y) \ z) = K(x,y \ z). [hyper(3075,a,3247,a),flip(a)]. 3250 K(x,(x * y) \ z) = K(x,y \ z). [hyper(3074,a,3247,a)]. 3251 K(x,y \ (x \ z)) = K(x,y \ z). [hyper(64,a,3227,a(flip),b,3247,a)]. 3252 K(x,x * (y \ (x \ z))) = K(x,y \ z). [hyper(1848,a,3251,a)]. 3253 K(x,y \ (x \ (y * z))) = K(x,x \ z). [para(9(a,1),3248(a,2,2,2))]. 3254 K(x,y \ (x * z)) = K(x,x * (y \ z)). [para(9(a,1),3252(a,1,2,2,2)),flip(a)]. 3255 K(x,y \ (z * x)) = K(x,x * (y \ z)). [hyper(2264,a,3254,a)]. 3256 K(x,y * (L(y,z,u) \ x)) = K(x,x * (L(y,z,u) \ y)). [para(1598(a,1),3255(a,1,2))]. 3257 L(K(x,y),z * x,u) != w | K(L(x,z,u),y) = w. [para(3225(a,1),3241(a,1))]. 3258 (x * K((y \ 1) \ (z \ x),z)) * y = (z \ (x * y)) * z. [hyper(120,a,3207,a,b,2497,a(flip))]. 3259 (x * y) * K(z,x \ (z \ (x * y))) = x * (z * (y / z)). [hyper(64,a,1229,a(flip),b,3228,a),flip(a)]. 3260 T(x,y) * (T(x \ 1,y) * z) = L(z,x \ 1,x). [para(2886(a,1),2966(a,1,2))]. 3261 a(T(x,y),T(x,y) \ 1,z) = L(z,x \ 1,x) \ (1 * z). [para(3260(a,1),2100(a,1,1)),flip(a)]. 3263 a(x,T(y,z),T(z,y)) = a(x,y,z). [hyper(1084,a,3037,a),flip(a)]. 3265 a(x,K(y,z) * u,T(K(w,v5),u * K(y,z))) = a(x,u * K(y,z),K(w,v5)). [para(363(a,1),3263(a,1,2))]. 3266 a(T(x,y),T(y,x),z) != u | a(x,y,z) = u. [para(3047(a,1),1084(a,1))]. 3267 a(T(x,y),T(T(y,z),x),u) != w | a(x,T(y,z),u) = w. [para(1484(a,1),3266(a,1,1))]. 3269 x \ (L(y,z,x) * (z * x)) = T(z,x) * T(y,x * z). [para(1479(a,1),3149(a,2,2))]. 3270 L(T(L(x,y,z) \ x,u),L(x,y,z),u) = (u * L(T(x,u),y,z)) \ (x * u). [hyper(3169,a,2670,a)]. 3271 x \ (L(x,y,z) * z) = (z / x) * L(x,y,z). [hyper(3229,a,2457,a)]. 3272 (x / (y \ 1)) * L(y \ 1,y,x) = (y \ 1) \ (y \ x). [para(887(a,1),3271(a,1,2)),flip(a)]. 3273 x \ y != T(z,x) * T(u,x * z) | L(u,z,x) * (z * x) = y. [para(3269(a,1),48(a,1)),flip(a)]. 3274 (x \ 1) * (y \ K(x,z)) = (y * x) \ K(x,z). [hyper(1960,a,2807,a)]. 3275 (x * x) \ K(x,y) = x \ (x \ K(x,y)). [hyper(64,a,2344,a(flip),b,3274,a),flip(a)]. 3276 (x * T(y,z)) * T(y,u) = (x * y) * T(T(y,u),z). [hyper(64,a,3084,a(flip),b,2858,a),flip(a)]. 3277 x * (y * T(y \ (x \ z),x * y)) != u | T(z,x * y) = u. [para(2892(a,1),882(a,1))]. 3278 (x * K(y,z)) * K(u,x \ y) = T(y,z) * T(y \ x,u). [para(2843(a,1),2954(a,1,2))]. 3279 K(x,(y * K(x,z)) \ u) = (y * T(y \ u,x)) \ u. [para(2754(a,1),3035(a,1,1,2)),flip(a)]. 3280 K(x,(y * K(x,z)) \ u) = K(x,y \ u). [hyper(306,a,2872,a(flip),b,3279,a),flip(a)]. 3281 K(x,(K(x,y) * z) \ u) = K(x,z \ u). [hyper(3074,a,3280,a)]. 3282 K(x,(y * K(z,x)) \ u) = K(x,y \ u). [para(1909(a,1),3280(a,1,2,1,2))]. 3283 K(x,(K(y,x) * z) \ u) = K(x,z \ u). [para(2906(a,1),3280(a,1,2,1)),flip(a)]. 3284 K(x,(y * z) \ ((K(x,u) * y) * z)) = K(x,a(K(x,u),y,z)). [para(14(a,2),3281(a,1,2)),flip(a)]. 3285 (x * T(y,L(z,y,x))) \ (x * (y * z)) = L(T(z,y),y,x). [hyper(306,a,25,a,b,3036,a),flip(a)]. 3286 L(x,y,T(y,z) * (u / y)) = L(x,y,u * K(y,z)). [para(2828(a,1),3143(a,1,3)),flip(a)]. 3287 (T(x,y) * z) \ (T(x,y) * (z / x)) = L(x \ 1,x,z * K(x,y)). [hyper(64,a,2568,a(flip),b,3286,a)]. 3288 K(L(x,y / T(x,z),u),w) = L(K(x,w),y,u). [para(1816(a,1),3209(a,1,1)),flip(a)]. 3289 L(K(x,y),x * z,u) = K(L(x,z,u),y). [para(187(a,1),3288(a,1,1,2)),flip(a)]. 3290 K(L(x,x \ y,z),u) = L(K(x,u),y,z). [para(268(a,1),3288(a,1,1,2))]. 3292 L(K(x,y),T(x,z) * u,w) = K(L(T(x,z),u,w),T(y,v5)). [para(1939(a,1),3289(a,1,1))]. 3293 K(L(x,x \ 1,y),z) = K(x,z). [hyper(306,a,441,a(flip),b,3290,a),flip(a)]. 3294 K(T(x,y),T(z,u)) = K(L(x,T(x,y) \ 1,w),z). [hyper(2024,a,3293,a),flip(a)]. 3295 K(R(x,x \ 1,y),z) = K(x,z). [para(995(a,2),3293(a,1,1))]. 3296 K(R(x,x \ 1,y),L(z,x,u)) = K(x,z). [hyper(306,a,3238,a(flip),b,3295,a),flip(a)]. 3297 K(L(x,T(x,y) \ 1,z),u) = K(x,u). [hyper(1958,a,3294,a),flip(a)]. 3299 K(L(x,x \ K(y,x),z),u) = K(x,u). [para(1803(a,1),3297(a,1,1,2))]. 3300 L(K(x,y),K(z,x),u) = K(x,y). [hyper(64,a,3290,a(flip),b,3299,a)]. 3301 (x * K(y,z)) * K(z,u) = x * (K(z,u) * K(y,z)). [hyper(121,a,3300,a(flip),b,364,a)]. 3302 L(R(K(x,y),z,u),K(w,x),v5) = R(K(x,y),z,u). [para(3300(a,1),29(a,1,1)),flip(a)]. 3303 (x * K(y,z)) * L(K(z,u),w,v5) = x * (K(y,z) * L(K(z,u),w,v5)). [para(3300(a,1),527(a,1,2,1))]. 3304 R(x,K(y,z),K(z,u)) = x. [hyper(1167,a,3301,a)]. 3305 L(x,K(y,z),K(z,u)) = x. [hyper(64,a,1647,a(flip),b,3304,a)]. 3306 R(x,L(K(y,z),u,w),K(z,v5)) = x. [para(2720(a,1),3304(a,1,2))]. 3307 L(x,K(y,z),K(y,u)) = x. [para(1930(a,1),3305(a,1,2))]. 3308 L(x,L(K(y,z),u,w),K(z,v5)) = x. [para(2720(a,1),3305(a,1,2))]. 3309 L(x,K(y,z),K(u,y)) = x. [para(1909(a,1),3307(a,1,3))]. 3310 (K(x,y) * (K(y,z) * u)) / u = K(x,y) * K(y,z). [hyper(196,a,3309,a(flip),b,18,a(flip))]. 3311 (K(x,y) * L(K(z,x),u,w)) * v5 = K(x,y) * (L(K(z,x),u,w) * v5). [para(3306(a,1),1650(a,1,2))]. 3312 (x * y) \ ((x * (y * K(z,u))) * K(u,w)) = L(K(z,u),y,x) * K(u,w). [para(3306(a,1),634(a,1,1))]. 3313 L(x,L(K(y,z),u,w),L(K(v5,z),v6,v7) \ 1) = x. [para(2737(a,1),3308(a,1,3))]. 3314 x / (L(K(y,z),u,w) * x) = L(K(y,z),u,w) \ 1. [hyper(196,a,2325,a(flip),b,3313,a(flip))]. 3315 (K(x,y) * z) / (K(x,u) * z) = K(u,x) * K(x,y). [para(2932(a,1),3310(a,1,1))]. 3316 x / (K(y \ x,z) * (y * (x / y))) = K(z,y \ x) * K(y \ x,y). [para(1763(a,1),3315(a,1,1))]. 3317 L(K(x,y),z * K(u,x),w) = L(K(x,y),z,w). [hyper(306,a,3288,a(flip),b,3214,a),flip(a)]. 3320 T(x \ y,y \ ((y / x) * (z * x))) != u | T(x \ y,T(z,w)) = u. [para(3222(a,2),1532(a,1))]. 3321 (x * y) * K(z,z \ y) = x * (z * (y / z)). [para(3253(a,1),3259(a,1,2))]. 3322 (x * (y * (z / y))) / (z / y) = (x * z) / (y \ z). [hyper(119,a,3321,a(flip),b,2999,a)]. 3324 a(T(x,y),T(x,y) \ 1,z) != u | a(x,x \ 1,z) = u. [para(3261(a,2),1574(a,1))]. 3326 a(T(x,y),T(x \ 1,y),z) != u | a(x,x \ 1,z) = u. [para(2071(a,2),3324(a,1,2))]. 3327 a(x,T(y,z),T(y \ 1,z)) = a(y,y \ 1,x \ 1). [hyper(3326,a,2298,a),flip(a)]. 3328 a(x,T(y,z),T(y \ 1,z)) = a(x,y,y \ 1). [hyper(306,a,2279,a(flip),b,3327,a),flip(a)]. 3329 a(x,T(y,z),T(y,z) \ 1) = a(x,y,y \ 1). [para(2071(a,1),3328(a,1,3))]. 3330 (x * T(y,L(z * K(y,z),y,x))) \ (x * (y * (z * K(y,z)))) = L(z,y,x). [para(1731(a,1),3285(a,2,1))]. 3331 L(K(x,y),T(x,z) * u,w) != v5 | K(L(x,u,w),y) = v5. [para(3292(a,2),2024(a,1))]. 3332 L(K(x,y),x * z,u) != w | K(L(x,z,u),y) = w. [para(105(a,1),3331(a,1,2,1))]. 3333 L(K(x,y),z,u) != w | K(L(x,x \ z,u),y) = w. [para(10(a,1),3332(a,1,2))]. 3334 (x * (y * z)) \ (x * (y * T(z,u))) = K(L(z,y,x),u). [hyper(306,a,3210,a(flip),b,2805,a),flip(a)]. 3335 (x * (y * z)) * K(L(z,y,x),u) = x * (y * T(z,u)). [hyper(121,a,3210,a(flip),b,2805,a)]. 3336 (x * (y * z)) \ (x * (y * T(z,u))) = K(u,(x * (y * z)) \ (x * y)). [hyper(306,a,2844,a,b,3334,a),flip(a)]. 3337 T(x,y * (z * T(u,w))) != v5 | T(x,y * (z * u)) = v5. [para(3335(a,1),1536(a,1,2))]. 3338 T(x,y * (z * (u / w))) != v5 | T(x,y * (z * (w \ u))) = v5. [para(2066(a,1),3337(a,1,2,2,2))]. 3339 R(x,y,z) * T(y * z,u) != w | ((x * y) * z) * K(y * z,u) = w. [para(2857(a,1),373(a,1))]. 3341 ((x * y) * z) * a(z,x,y) = R(z,x,y) * T(x * y,z). [hyper(64,a,2857,a(flip),b,3010,a),flip(a)]. 3342 a(x,y,z) = ((y * z) * x) \ (R(x,y,z) * T(y * z,x)). [hyper(118,a,2857,a(flip),b,3010,a(flip)),flip(a)]. 3343 T(R(x,y,z) * (y * z),x) = ((y * z) * x) * a(x,y,z). [hyper(306,a,1457,a,b,3341,a)]. 3344 ((x * y) * z) * a(z,x,y) = T((z * x) * y,z). [para(102(a,1),3343(a,1,1)),flip(a)]. 3345 (x * y) * a(y,z,z \ x) = T((y * z) * (z \ x),y). [para(10(a,1),3344(a,1,1,1))]. 3346 a(x,T(y,z),T(z,T(y,z))) != u | a(x,y,z) = u. [para(3038(a,2),1084(a,1))]. 3347 T(x,(y * z) \ ((u * z) * y)) = T(x,R(u,z,y)). [hyper(306,a,1500,a(flip),b,3048,a),flip(a)]. 3348 T(x,R(y,z,u)) = T(x,L(y,z,u)). [hyper(2267,a,3347,a),flip(a)]. 3350 x / T(x,L(y,z,u)) = K(R(y,z,u),x). [hyper(196,a,3348,a(flip),b,1785,a(flip))]. 3351 R(x,y,z) * T(u,L(x,y,z)) = u * R(x,y,z). [hyper(121,a,3348,a(flip),b,22,a(flip))]. 3352 x \ T(x,L(y,z,u)) = K(x,R(y,z,u)). [hyper(118,a,3348,a(flip),b,1892,a(flip))]. 3353 K(R(x,y,z),u) = K(L(x,y,z),u). [hyper(1796,a,3350,a),flip(a)]. 3354 K(R(x,y,z),u) != w | K(L(x,y,z),u) = w. [para(3350(a,1),1796(a,1))]. 3355 K(R(x,y,z),y) = K(x,y). [hyper(306,a,3230,a(flip),b,3353,a),flip(a)]. 3356 K(x,R(y,z,u)) = K(x,L(y,z,u)). [hyper(1913,a,3352,a),flip(a)]. 3357 K(x,R(y,x,z)) = K(x,y). [hyper(306,a,3238,a(flip),b,3356,a),flip(a)]. 3358 ((x * y) * z) * K(y * z,L(x,y,z)) = (y * z) * R(x,y,z). [hyper(121,a,3356,a(flip),b,619,a)]. 3359 K(R(x,y,z),y) = K(x,R(y,x,u)). [hyper(306,a,3355,a,b,3357,a)]. 3360 K(x,R(R(y,x,z),u,w)) = K(x,R(y,u,w)). [para(31(a,1),3357(a,1,2))]. 3361 K(x \ R(x,y,z),R(x,x \ R(x,y,z),u)) = K(a(x,y,z),x). [hyper(2289,a,3359,a),flip(a)]. 3363 T(R(T(x,y * z),z,y),(y * z) \ 1) = R(x,z,T(y,z)). [para(1513(a,1),3103(a,1,1))]. 3364 R(T(T(x,y * z),(y * z) \ 1),z,y) = R(x,z,T(y,z)). [hyper(64,a,27,a,b,3363,a)]. 3365 R(x,y,T(z,y)) = R(x,y,z). [para(2053(a,1),3364(a,1,1)),flip(a)]. 3366 R(x,y,z) = ((x * y) * T(z,y)) / (z * y). [hyper(2424,a,3365,a),flip(a)]. 3367 R(x,y,L(y \ 1,y,z)) = R(x,y,z \ (z / y)). [para(1117(a,1),3365(a,1,3))]. 3368 a((x * y) / x,x,z) = a(y,T(x,y),z). [hyper(306,a,221,a(flip),b,3106,a),flip(a)]. 3369 a(x * (y / x),x,z) = a(y,T(x,y),z). [para(850(a,1),3368(a,1,1))]. 3370 a(T(x,y \ 1),y,z) = a(x,T(y,x),z). [para(2051(a,2),3368(a,1,1))]. 3371 (x * T(y,y \ 1)) * z != x * (T(y,y \ 1) * u) | L(u,y,x) = z. [para(3160(a,1),44(a,1)),flip(a)]. 3372 L(((x * y) \ ((x * y) / x)) \ z,(x * y) \ y,x * y) = ((x * y) / x) \ ((x * y) * z). [para(9(a,1),3163(a,1,2,2))]. 3373 K(x,R(T(K(x,y),z * u),z,u)) = K(x,a(K(x,y),z,u)). [para(745(a,1),3284(a,1,2))]. 3374 K(x,a(K(x,y),z,u)) = 1. [hyper(64,a,1187,a(flip),b,3373,a),flip(a)]. 3377 K(a(K(x,y),z,u),x) = 1. [hyper(117,a,3374,a,b,2176,a),flip(a)]. 3378 T(x,a(K(x,y),z,u)) = x. [hyper(57,a,3374,a)]. 3380 T(a(K(x,y),z,u),x) = a(K(x,y),z,u). [hyper(57,a,3377,a)]. 3381 T(T(x,y),a(K(x,z),u,w)) = T(x,y). [para(3378(a,1),23(a,1,1)),flip(a)]. 3382 K((x * y) / (x * (z \ y)),u) = (x * (K(z,u) * y)) / (x * y). [para(2887(a,1),2900(a,1,1,2)),flip(a)]. 3383 (x \ y) * T((y \ x) \ z,x \ y) = (y \ x) \ (z * (x \ y)). [hyper(306,a,3064,a(flip),b,3066,a),flip(a)]. 3384 K(x,y) * (T(x / y,z) * u) = T(y \ x,z) * u. [para(2880(a,1),3081(a,1,2))]. 3385 K(x,y) * (T(x \ y,z) * u) = T(y / x,z) * u. [hyper(2921,a,3384,a)]. 3386 K(x,y) * (T(x \ y,z) * u) != w | T(y / x,z) * u = w. [para(3384(a,1),2934(a,1,2)),flip(b)]. 3387 K(x,y) * (T(x / y,z) * u) != w | T(y \ x,z) * u = w. [para(3385(a,1),2934(a,1,2)),flip(b)]. 3388 ((x * y) * z) * u != (y * z) * R(x,y,z) | K(y * z,L(x,y,z)) = u. [para(3358(a,1),44(a,1)),flip(a)]. 3389 K(a(x,y,z),x) = 1. [hyper(2271,a,3361,a),flip(a)]. 3391 T(a(x,y,z),x) = a(x,y,z). [hyper(57,a,3389,a)]. 3392 T(a(T(x,y),z,u),x \ 1) = a(T(x,y),z,u). [hyper(2094,a,3391,a)]. 3393 T(x,a(x,y,z)) = x. [hyper(55,a,3391,a)]. 3394 a(x,y,z) * x = x * a(x,y,z). [hyper(121,a,3391,a(flip),b,22,a(flip)),flip(a)]. 3395 (x * y) \ ((x * a(x,z,u)) * y) = R(T(a(x,z,u),x * y),x,y). [para(3394(a,1),745(a,1,2,1))]. 3396 K(x,(y * z) / (y * (u \ z))) * (y * (K(u,x) * z)) = y * z. [hyper(2933,a,3382,a)]. 3397 (x \ y) \ (z * (y \ x)) = (y \ x) * (z / (x \ y)). [para(3024(a,1),3383(a,1,2)),flip(a)]. 3398 (x \ (x * y)) * (z / ((x * y) \ x)) = ((x * y) \ x) \ (z * y). [para(9(a,1),3397(a,1,2,2)),flip(a)]. 3399 L(a(x,K(y,z),u),x * (K(y,z) * u),K(z,(x * u) / (x * (y \ u)))) = (x * u) \ (K(z,(x * u) / (x * (y \ u))) * ((x * K(y,z)) * u)). [para(3396(a,1),608(a,1,1)),flip(a)]. 3400 (x \ (x * y)) * (z / ((x * y) \ x)) = (x \ (x / y)) \ (z * y). [para(320(a,1),3398(a,2,1))]. 3401 (x \ (x / y)) \ (z * y) = y * (z / ((x * y) \ x)). [para(9(a,1),3400(a,1,1)),flip(a)]. 3402 (x \ (x / y)) \ (z * y) = y * (z / (x \ (x / y))). [para(320(a,1),3401(a,2,2,2))]. 3403 x * L(y,K(z,u),K(u,z) * x) = (x * K(u,z)) * (K(z,u) * y). [para(244(a,2),2926(a,1,2,3))]. 3404 (x * K(y,z)) * (K(z,y) * R(K(y,u),w,v5)) = x * R(K(y,u),w,v5). [para(3302(a,1),2926(a,1,2)),flip(a)]. 3406 L(T(K(x,y),z),K(y,x) * z,u) = (u * (K(x,y) \ z)) \ (u * z). [para(2913(a,2),2968(a,2,1,2))]. 3407 (x * (y * z)) \ ((x * y) * z) = a(T(x,z),y,T(z,x)). [para(2883(a,1),3044(a,1,1))]. 3408 a(T(x,y),z,T(y,x)) = a(x,z,y). [hyper(1084,a,3407,a),flip(a)]. 3409 a(T(x,y),z,T(y,x)) != u | a(x,z,y) = u. [para(3407(a,1),1084(a,1))]. 3410 a(T(x * y,x),z,T(x,y)) = a(x * y,z,x). [para(414(a,1),3408(a,1,3))]. 3411 a(T(x,y),z,T(T(y,u),x)) = a(x,z,T(y,u)). [para(1484(a,1),3408(a,1,1))]. 3412 a(x * y,z,T(x \ 1,y * x)) = a(y * x,z,x \ 1). [para(2049(a,1),3408(a,1,1))]. 3413 a(T(x,y),z,T(T(y,u),x)) != w | a(x,z,T(y,u)) = w. [para(1484(a,1),3409(a,1,1))]. 3414 a(x * y,z,T(y,x)) = a(y * x,z,y). [para(792(a,1),3410(a,1,1))]. 3415 a((x / y) * y,z,T(y,x / y)) = a(T(x,y \ 1),z,y). [para(2041(a,2),3414(a,2,1))]. 3416 a(x * y,z,T(x \ 1,x * y)) = a(y * x,z,x \ 1). [para(1479(a,1),3412(a,1,3))]. 3417 a(T(x,y \ 1),z,y) = a(x,z,T(y,x / y)). [para(12(a,1),3415(a,1,1)),flip(a)]. 3418 a(T(x,y \ 1),z,y) = a(x,z,T(y,x)). [para(902(a,1),3417(a,2,3))]. 3419 a(T(x,y \ x),z,y) = a(x,z,T(y,x)). [para(2039(a,1),3418(a,1,1))]. 3420 R(x * K(y,x),z,u) * (z * u) = K(y,R(x,z,u)) * ((x * z) * u). [hyper(64,a,2228,a(flip),b,3052,a),flip(a)]. 3421 (x * (T(y,x) * z)) \ ((y * x) * z) = a(x,y,z * K(y,x)). [para(2822(a,1),3057(a,1,1,2))]. 3422 a(x,y,z * K(y,x)) = a(x,T(y,x),z). [hyper(1365,a,3421,a),flip(a)]. 3423 a(x,T(y,x),z * K(x,y)) = a(x,y,z). [para(2908(a,1),3422(a,1,3)),flip(a)]. 3424 K((K(x,y) * z) \ u,y) = K(z \ (K(y,x) * u),y). [hyper(64,a,2759,a(flip),b,3202,a)]. 3425 (T(x,y) * z) \ (T(x,y) * (z / x)) = L(x \ 1,x,z). [hyper(306,a,2430,a(flip),b,3287,a),flip(a)]. 3427 x * (y * R(T(a(x,z,u),x * y),x,y)) = (x * L(a(x,z,u),y,x)) * y. [para(3395(a,1),2544(a,1,2,2))]. 3429 T(x * y,x) * (z \ (z / x)) = x * ((z \ (z / x)) * y). [para(78(a,1),3067(a,1,1,2))]. 3430 (x * y) * (z \ (z / y)) = y * ((z \ (z / y)) * x). [para(792(a,1),3429(a,1,1))]. 3431 (x * y) * ((T(y,z) * u) \ (T(y,z) * (u / y))) = y * (((T(y,z) * u) \ ((T(y,z) * u) / y)) * x). [para(1094(a,1),3430(a,1,2,2))]. 3432 T(x,y \ z) * T(u / x,y \ z) = T(u,x \ ((z \ y) \ 1)). [para(3020(a,1),3197(a,1,2))]. 3433 T(x,y \ ((z \ u) \ 1)) = T(x,y \ (u \ z)). [hyper(64,a,3196,a(flip),b,3432,a),flip(a)]. 3434 T(x,y \ ((y \ z) \ 1)) = T(x,z \ 1). [hyper(306,a,3028,a(flip),b,3433,a),flip(a)]. 3435 T(x,(y * z) \ 1) = T(x,y \ (z \ 1)). [para(9(a,1),3434(a,1,2,2,1)),flip(a)]. 3436 T(x,(y * z) \ 1) = T(x,z \ (y \ 1)). [hyper(306,a,3029,a,b,3435,a),flip(a)]. 3437 (x \ 1) * T(x,y \ (z \ 1)) = K(y * z,x). [para(3435(a,1),2076(a,2,2)),flip(a)]. 3438 L(T(x,y \ (z \ 1)),z,y) = (y * (z * x)) / (y * z). [para(3435(a,1),2089(a,1,1))]. 3439 T(x,(y * z) \ 1) != u | T(x,z \ (y \ 1)) = u. [para(3435(a,2),3077(a,1))]. 3440 T(x,(y * ((z * u) \ y)) \ 1) = T(x,(z \ y) \ ((y / u) \ 1)). [para(33(a,1),3436(a,1,2,1))]. 3441 (T(x,y \ (z \ 1)) * z) * y = (z * y) * R(x,z,y). [para(3436(a,1),2090(a,1,1,1))]. 3442 T(x,(y * z) \ 1) != u | T(x,y \ (z \ 1)) = u. [para(3436(a,2),3077(a,1))]. 3443 K(x,y \ (z \ 1)) = K(y * z,x). [hyper(1959,a,3437,a)]. 3444 K((x \ 1) \ y,z) = K(y * x,z). [hyper(2855,a,3443,a)]. 3445 K(x * (y \ 1),z) = K(z,x \ y). [hyper(2033,a,3443,a),flip(a)]. 3446 K(x,y \ (z \ 1)) = K(z * y,x). [hyper(306,a,1819,a,b,3443,a),flip(a)]. 3447 K(x * ((y \ 1) * z),u) = K(u,x \ ((z \ 1) * y)). [para(561(a,1),3443(a,1,2,2)),flip(a)]. 3448 K(x,(y \ 1) \ (((y \ 1) / z) * u)) = K((((y \ 1) / u) * z) * y,x). [para(732(a,1),3443(a,1,2))]. 3450 K((x \ 1) \ y,z) = K(x * y,z). [hyper(306,a,1819,a,b,3444,a),flip(a)]. 3453 (x * K(x * y,z)) * y = T(x * y,z). [para(3444(a,1),3016(a,1,1,2))]. 3454 K(x * (y \ 1),z) = K(x / y,z). [hyper(306,a,2848,a,b,3445,a),flip(a)]. 3455 K(x,(y * z) \ 1) = K(x,z \ (y \ 1)). [hyper(306,a,2072,a,b,3446,a)]. 3456 K(x,y \ (z \ 1)) != u | K(y * z,x) = u. [para(3446(a,2),1845(a,1))]. 3457 x * (y * K(x * y,z)) = T(x * y,z). [para(3450(a,1),2896(a,1,2,2))]. 3458 (x * K(y * (z \ x),z)) * y = (z \ (x * y)) * z. [para(3450(a,1),3258(a,1,1,2))]. 3459 K(x * (1 / y),z) = K(x / y,z). [hyper(1881,a,3454,a)]. 3460 K(x * (1 / y),z) = z / T(z,x / y). [hyper(306,a,1788,a(flip),b,3459,a),flip(a)]. 3461 K(x,((y \ 1) * z) \ 1) = K(x,z \ y). [hyper(306,a,2258,a(flip),b,3455,a),flip(a)]. 3464 T(x,y * (1 / z)) = T(x,y / z). [hyper(1807,a,3460,a)]. 3465 T(x,y * (1 / z)) = T(x,z \ y). [hyper(306,a,1498,a(flip),b,3464,a),flip(a)]. 3466 T(x,y * (z \ 1)) = T(x,z \ y). [hyper(64,a,2731,a(flip),b,3465,a)]. 3467 T(x,(y \ 1) \ z) = T(x,z * y). [para(75(a,1),3465(a,1,2,2)),flip(a)]. 3470 T(x,(y \ 1) * z) = T(x,y \ z). [hyper(1529,a,3466,a)]. 3471 T(x,y * (z \ 1)) = x * K(x,z \ y). [hyper(306,a,1892,a(flip),b,3466,a),flip(a)]. 3472 T(x,(y * T(z,u)) \ w) = T(x,w * ((y * z) \ 1)). [hyper(64,a,2743,a(flip),b,3466,a),flip(a)]. 3473 T(x,((y \ 1) * z) \ u) = T(x,u * ((z \ 1) * y)). [para(561(a,1),3466(a,1,2,2)),flip(a)]. 3474 (x \ 1) * (y * T(R(x,z,u),x \ y)) = R(x,z,u) * ((x \ 1) * y). [para(3466(a,1),2605(a,1,2,2))]. 3475 T(x,(y \ 1) \ z) = T(x,y * z). [hyper(306,a,1479,a,b,3467,a),flip(a)]. 3476 T(x,L(y,z \ 1,u \ 1) \ w) = T(x,w * R(y \ 1,z,u)). [para(2585(a,2),3467(a,1,2,1))]. 3478 (L(x,y,z) \ 1) * (u * T(x,L(x,y,z) \ u)) = x * ((L(x,y,z) \ 1) * u). [para(3470(a,1),2352(a,1,2,2))]. 3479 T(x * (y / x),x * y) = y. [hyper(64,a,2060,a(flip),b,3475,a),flip(a)]. 3480 T(x,(y \ 1) \ z) != u | T(x,z * y) = u. [para(3475(a,2),1529(a,1))]. 3481 L(x * (y / x),z,u) \ (x * y) = (x * y) / L(y,z,u). [para(3479(a,1),415(a,1,2,1)),flip(a)]. 3482 K(x,(y \ 1) \ z) = K(x,y * z). [hyper(1874,a,3461,a),flip(a)]. 3483 K(x,(y \ 1) \ z) != u | K(x,y * z) = u. [para(3461(a,1),1874(a,1))]. 3484 K(x,(y \ 1) \ z) = K(x,z * y). [hyper(306,a,1953,a,b,3482,a),flip(a)]. 3485 K(x,((y \ 1) * z) \ u) = K(x,u * ((z \ 1) * y)). [para(561(a,1),3484(a,1,2,1))]. 3486 T(x,y * (z \ 1)) != u | T(x,z \ y) = u. [para(3471(a,2),1894(a,1))]. 3487 K(x,y \ ((z \ 1) * u)) != w | K(y * ((u \ 1) * z),x) = w. [para(561(a,1),3456(a,1,2,2))]. 3488 K(x,y \ (z / (u \ 1))) != w | K(y * (u \ (z \ 1)),x) = w. [para(568(a,1),3456(a,1,2,2))]. 3489 T(x,y * ((z \ 1) * u)) != w | T(x,((u \ 1) * z) \ y) = w. [para(561(a,1),3486(a,1,2,2))]. 3490 T(x,(y \ 1) * z) != u | T(x,y \ z) = u. [para(1479(a,1),3486(a,1))]. 3491 K(x * ((y \ 1) * z),u) = K(u,x \ (y * (z \ 1))). [hyper(2264,a,3447,a(flip)),flip(a)]. 3492 (x \ (y * z)) * K(x * (y \ (x \ (y * z))),y) = x \ (z * y). [hyper(36,a,2498,a(flip),b,3458,a),flip(a)]. 3493 T(x,(y * T(z,u)) \ w) = T(x,(y * z) \ w). [hyper(306,a,3466,a(flip),b,3472,a),flip(a)]. 3494 T(x,(y * (z / u)) \ w) = T(x,(y * (u \ z)) \ w). [para(108(a,1),3493(a,1,2,1,2)),flip(a)]. 3495 K(x,y * ((z \ 1) * ((u \ 1) \ w))) = K(x,(((w \ 1) / u) * z) \ y). [para(569(a,1),3485(a,1,2,1,1)),flip(a)]. 3496 K(x * (((y * z) \ 1) * z),u) = K(u,x \ L(y,z,z \ 1)). [para(2131(a,1),3491(a,2,2,2))]. 3497 L(x * (y / x),z,u) \ (x * y) = (x / L(y,z,u)) * y. [hyper(306,a,2455,a(flip),b,3481,a),flip(a)]. 3498 K(x,y \ ((z \ 1) \ u)) != w | K(y * (z \ (u \ 1)),x) = w. [para(2257(a,1),3488(a,1))]. 3499 T(x,(y \ z) \ ((z / u) \ 1)) != w | T(x,z \ (z \ (y * u))) = w. [para(3440(a,1),3076(a,1))]. 3500 T(x,(y \ z) \ ((u \ z) \ 1)) != w | T(x,z \ (z \ (y * u))) = w. [para(2255(a,1),3499(a,1))]. 3501 T(x,(y \ z) \ (z \ u)) != w | T(x,z \ (z \ (y * u))) = w. [para(3433(a,1),3500(a,1))]. 3502 (x * K(y,z)) * (K(z,y) * L(K(y,u),w,v5)) = x * L(K(y,u),w,v5). [para(2908(a,1),3303(a,1,1)),flip(a)]. 3503 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(212(a,2),3316(a,1,2,2,2))]. 3504 K(x,(y * ((z * u) * (z \ (z / u)))) \ (y * (z * u))) = (y * z) \ (y * ((z * u) * T(z \ (z / u),x))). [para(381(a,1),3336(a,1,1,2)),flip(a)]. 3505 (x * K(y,z)) * u != x * R(K(y,w),v5,v6) | K(z,y) * R(K(y,w),v5,v6) = u. [para(3404(a,1),44(a,1)),flip(a)]. 3506 K(x,R(y,z,u)) * ((y * z) * u) = ((y * K(x,y)) * z) * u. [hyper(280,a,3420,a),flip(a)]. 3507 K(x,R(y,z,u)) * ((y * z) * u) = (y * (K(x,y) * z)) * u. [para(2987(a,1),3506(a,2,1))]. 3508 R(K(x,y),y * z,u) = K(x,R(y,z,u)). [hyper(36,a,2227,a,b,3507,a)]. 3509 K(x,R(y,y \ z,u)) = R(K(x,y),z,u). [para(10(a,1),3508(a,1,2)),flip(a)]. 3510 R(K(x,R(y,z,u)),(y * z) * u,w) = K(x,R(R(y,z,u),z * u,w)). [para(102(a,1),3508(a,1,2))]. 3511 K(x,R(y,T(y,z) \ u,w)) = R(K(x,T(y,z)),u,w). [hyper(1976,a,3509,a)]. 3512 K(x,R(y,T(y,z) \ u,w)) = R(K(x,y),u,w). [para(1937(a,1),3511(a,2,1))]. 3513 R(K(x,y),T(y,z) * u,w) = K(x,R(y,u,w)). [para(9(a,1),3512(a,1,2,2)),flip(a)]. 3514 K(x,R(T(y,z),y \ u,w)) = R(K(x,T(y,z)),u,w). [para(866(a,1),3512(a,1,2,2,1))]. 3516 R(K(x,y),z * y,u) = K(x,R(y,z,u)). [para(2054(a,1),3513(a,1,2))]. 3517 R(K(x,y \ z),z,u) = K(x,R(y \ z,y,u)). [para(10(a,1),3516(a,1,2))]. 3518 R(K(x,y \ R(y,z,u)),R(y,z,u),z * u) = K(x,((y * z) * u) / (y * (z * u))). [para(1655(a,1),3517(a,2,2))]. 3519 K(x,R(T(y,z),y \ 1,u)) = K(x,T(y,z)). [hyper(306,a,449,a(flip),b,3514,a),flip(a)]. 3520 T(K(x,y),z) = K(x,R(T(y,u),y \ 1,w)). [hyper(306,a,1944,a,b,3519,a)]. 3522 K((((x \ 1) / y) * z) * x,u) = K(u,x * (((x \ 1) / z) * y)). [hyper(3483,a,3448,a),flip(a)]. 3523 K(x * (((x \ 1) / y) * z),u) = K(u,x * (((x \ 1) / z) * y)). [hyper(1845,a,3522,a)]. 3524 K(x,K(y,z) * (((K(y,z) \ 1) / u) * w)) = K(((K(z,y) / w) * u) * K(y,z),x). [para(2177(a,1),3522(a,1,1,1,1,1)),flip(a)]. 3525 (x \ 1) * (y * R(T(x,x \ y),z,u)) = R(x,z,u) * ((x \ 1) * y). [para(27(a,2),3474(a,1,2,2))]. 3526 K(x,y * ((z \ 1) * ((u \ 1) \ w))) != v5 | K(x,(z * ((w \ 1) / u)) \ y) = v5. [para(3495(a,2),3074(a,1))]. 3527 R(K(x,R(y,x,z)),(y * x) * z,u) = K(x,R(y,x * z,u)). [hyper(306,a,3360,a(flip),b,3510,a),flip(a)]. 3528 R(K(x,y),(y * x) * z,u) = K(x,R(y,x * z,u)). [para(3357(a,1),3527(a,1,1))]. 3530 (x \ 1) * (y * R(T(x,y),z,u)) = R(x,z,u) * ((x \ 1) * y). [para(404(a,1),3525(a,1,2,2,1))]. 3531 R(x,y,z) * ((x \ 1) * u) = (x \ 1) * (R(x,y,z) * u). [para(229(a,1),3530(a,1,2)),flip(a)]. 3532 (x \ 1) \ (R(x,y,z) * u) = R(x,y,z) * ((x \ 1) \ u). [hyper(696,a,3531,a)]. 3533 ((x \ 1) * (R(x,y,z) * u)) \ ((x \ R(x,y,z)) * u) = a(R(x,y,z),x \ 1,u). [para(3531(a,1),1079(a,1,1))]. 3534 a(x,y * K(z,u),K(u,z)) = L(K(z,u),y,x) * K(u,z). [hyper(64,a,2928,a(flip),b,3312,a)]. 3535 a(x,y * K(z,u),K(u,z)) = K(u,z) * L(K(z,u),y,x). [hyper(306,a,244,a,b,3534,a),flip(a)]. 3536 K(x,y) * L(K(y,x),z * K(x,y),u) = a(u,z,K(x,y)). [para(2908(a,1),3535(a,1,2)),flip(a)]. 3537 T(x,a(y,z,K(u,w))) = x. [para(3536(a,1),1480(a,1,2))]. 3538 K(x,y) * L(K(y,x),z,u) = a(u,z,K(x,y)). [para(3317(a,1),3536(a,1,2))]. 3539 a(x,y,K(z,u)) * w = w * a(x,y,K(z,u)). [hyper(1407,a,3537,a),flip(a)]. 3540 (x * a(y,z,K(u,w))) / x = a(y,z,K(u,w)). [hyper(196,a,3537,a(flip),b,22,a(flip))]. 3541 T(x,a(y,z,K(u,w))) != v5 | x = v5. [para(3537(a,1),50(a,2))]. 3542 a(x,y,K(z,u)) * w != v5 | w * a(x,y,K(z,u)) = v5. [para(3537(a,1),281(a,1,2))]. 3543 x * a(y,z,K(u,w)) != v5 | a(y,z,K(u,w)) * x = v5. [para(3537(a,1),818(a,1)),flip(a)]. 3544 K(x,y) * a(z,u,K(y,x)) = L(K(x,y),u,z). [hyper(2921,a,3538,a)]. 3545 L(K(x,y),z,u) * K(y,x) = a(u,z,K(y,x)). [hyper(1175,a,3538,a)]. 3546 a(x,y * K(z,u),K(z,u)) = a(x,y,K(z,u)). [hyper(64,a,3536,a(flip),b,3538,a),flip(a)]. 3547 T(x,y) * L(K(y,x),z,u) = x * a(u,z,K(x,y)). [hyper(121,a,3538,a(flip),b,2829,a),flip(a)]. 3548 K(x,y) * K(L(y,z,u),x) = a(u,z * y,K(x,y)). [para(3210(a,1),3538(a,1,2))]. 3550 K(x,y) * (L(K(y,x),z,u) * w) = a(u,z,K(x,y)) * w. [para(3538(a,1),3311(a,1,1)),flip(a)]. 3551 (x * K(y,z)) * a(u,w,K(z,y)) = x * L(K(y,z),w,u). [para(3538(a,1),3502(a,1,2))]. 3552 T(K(x,y),z) * a(u,w,K(y,x * K(v5,v6))) = L(K(x * K(v5,v6),y),w,u). [para(1852(a,2),3544(a,1,1))]. 3553 (x * y) \ ((x * (y * K(z,u))) * K(u,z)) = a(x,y,K(u,z)). [hyper(64,a,3312,a,b,3545,a)]. 3554 (x * T(y,z)) * L(K(z,y),u,w) = (x * y) * a(w,u,K(y,z)). [para(2820(a,1),3551(a,1,1)),flip(a)]. 3555 ((x / y) * (y * K(z,x))) \ ((z * x) / z) = ((x / y) * y) \ (((x / y) * (y * K(x,z))) * K(z,x)). [hyper(306,a,1746,a,b,3553,a)]. 3556 x * (T(y,z) * L(K(z,y),u,w)) = (x * y) * a(w,u,K(y,z)). [hyper(64,a,2821,a(flip),b,3554,a)]. 3557 (x * y) * a(z,u,K(y,w)) = x * (y * a(z,u,K(y,w))). [para(3547(a,1),3556(a,1,2)),flip(a)]. 3558 a(x,y,a(z,u,K(y,w))) = 1. [hyper(117,a,3557,a(flip),b,81,a),flip(a)]. 3559 L(L(x,y,z),z * y,K(z,u)) = (T(z,u) * y) \ (T(z,u) * (y * x)). [para(2784(a,1),2833(a,1,2)),flip(a)]. 3560 L(L(x,y,z),z * y,K(z,u)) = L(x,y,T(z,u)). [hyper(306,a,18,a,b,3559,a),flip(a)]. 3561 L(L(x,T(y,T(z,u)),z),z * T(y,T(z,u)),K(z,u)) = L(x,y,T(z,u)). [hyper(306,a,3127,a(flip),b,3560,a),flip(a)]. 3562 L(x,y,T(z,x)) = L(x,y,z). [hyper(64,a,2211,a(flip),b,3560,a),flip(a)]. 3563 L(L(x,y,z),z * T(y,T(z,u)),K(z,u)) = L(x,y,T(z,u)). [para(3134(a,1),3561(a,1,1))]. 3564 L(L(x,y,z),y * z,K(z,u)) = L(x,y,T(z,u)). [para(1496(a,1),3563(a,1,2))]. 3567 L(K(x,y),z,u) * (K(y,w) * v5) = K(y,w) * (L(K(x,y),z,u) * v5). [para(3208(a,1),3213(a,1,1))]. 3568 L(K(x,y),z,u) * (K(y,x) * w) = a(u,z,K(y,x)) * w. [hyper(306,a,3550,a(flip),b,3567,a),flip(a)]. 3569 a(x,K(y,z) * u,T(K(w,v5),v6)) = a(x,u * K(y,z),K(w,v5)). [para(241(a,1),3265(a,1,3))]. 3570 a(x,K(y,z) * u,T(K(y,z),w)) = a(x,u,K(y,z)). [hyper(306,a,3546,a(flip),b,3569,a),flip(a)]. 3571 L(T(L(x,y,z) \ x,u),L(x,y,z),u) = (L(x,y,z) * u) \ (x * u). [para(228(a,1),3270(a,2,1))]. 3572 T((x * (y * z)) \ ((x * y) * z),x * y) = (L(z,y,x) * (x * y)) \ (z * (x * y)). [hyper(64,a,1286,a(flip),b,3571,a)]. 3573 (x * T(y,L(z,y,x))) \ (x * (y * (z * K(y,z)))) = L(z,y,x). [para(1740(a,1),3330(a,1,1,2))]. 3574 (x * T(y,L(z,y,x))) \ (x * (T(y,z) * z)) = L(z,y,x). [para(1744(a,1),3573(a,1,2,2))]. 3576 L(x,y,z) = (z * T(y,x)) \ (z * (T(y,x) * x)). [para(3234(a,1),3574(a,1,1,2)),flip(a)]. 3577 L(x,T(y,x),z) = L(x,y,z). [hyper(306,a,18,a,b,3576,a)]. 3579 L(x,y / x,z) = L(x,x \ y,z). [para(108(a,1),3577(a,1,2)),flip(a)]. 3580 L(T(x,y),T(z,x),u) = L(T(x,y),z,u). [para(1484(a,1),3577(a,1,2))]. 3581 L(x,x \ (y \ z),y) = (y * ((y \ z) / x)) \ z. [hyper(64,a,645,a(flip),b,3579,a),flip(a)]. 3582 L(K(x * K(y,z),u),w,v5) = T(K(x,u),v6) * a(v5,w,T(K(u,x),v7)). [para(1995(a,2),3552(a,1,2,3)),flip(a)]. 3583 L(T(K(x,y),z),u,w) = T(K(x,y),v5) * a(w,u,T(K(y,x),v6)). [para(1852(a,2),3582(a,1,1))]. 3585 (x * (K(y,z) \ u)) \ (x * u) = T(K(y,z),w) * a(x,K(z,y) * u,T(K(z,y),v5)). [hyper(64,a,3406,a(flip),b,3583,a)]. 3586 L(T(K(x,y),z),u,w) = T(K(x,y),v5) * a(w,u,K(y,x)). [para(105(a,1),3583(a,2,2,3))]. 3587 (L(x,y,z) \ 1) * (u * T(x,u)) = x * ((L(x,y,z) \ 1) * u). [para(2433(a,1),3478(a,1,2,2))]. 3588 (L(x,y,z) \ 1) * (x * u) = x * ((L(x,y,z) \ 1) * u). [hyper(668,a,3587,a)]. 3590 (x * ((L(x,y,z) \ 1) * u)) \ (((L(x,y,z) \ 1) * x) * u) = a(L(x,y,z) \ 1,x,u). [para(3588(a,1),14(a,2,1)),flip(a)]. 3591 L(L(T(x \ 1,y),T(x,y),z),z * T(x,y),K(y,x)) = (z * x) \ (K(y,x) * z). [para(2071(a,2),2838(a,1,1,1))]. 3592 K(x,K(y,z) * (((K(y,z) \ 1) / u) * w)) = K(((w \ K(z,y)) * u) * K(y,z),x). [para(399(a,1),3524(a,2,1,1,1))]. 3593 L(L(T(x \ 1,y),z * T(x,y),K(y,x)),T(x,y),z) = (z * x) \ (K(y,x) * z). [hyper(64,a,30,a,b,3591,a)]. 3594 K(x,K(y,z) * (((K(y,z) \ 1) / u) * w)) = K((w \ K(z,y)) * u,x). [hyper(306,a,1850,a(flip),b,3592,a),flip(a)]. 3596 K(x,K(y,z) * (((K(y,z) \ 1) / u) * w)) = K(u * (w \ K(z,y)),x). [hyper(306,a,1819,a,b,3594,a),flip(a)]. 3597 K(x,K(y,z) * ((K(z,y) / u) * w)) = K(u * (w \ K(z,y)),x). [para(2177(a,1),3596(a,1,2,2,1,1))]. 3598 K(x,K(y,z) * ((u \ K(z,y)) * w)) = K(u * (w \ K(z,y)),x). [hyper(64,a,3083,a(flip),b,3597,a)]. 3599 L(T(x \ 1,y),T(x,y),z) = (z * x) \ (K(y,x) * z). [para(2223(a,1),3593(a,1,1))]. 3600 L(T(x \ 1,y),T(x,y),z) = (z * x) \ (z * K(y,x)). [para(244(a,1),3599(a,2,2))]. 3602 L(T(x \ 1,y),T(x,y),z) = L(T(x \ 1,y),x,z). [hyper(306,a,2104,a(flip),b,3600,a),flip(a)]. 3603 L(T(x \ 1,y),x,z) \ z = T(x,y) * z. [para(3602(a,1),2099(a,1,1))]. 3604 L(x \ L(y \ (y * x),z,u),x,y) = (y \ (y / x)) * L((y \ (y / x)) \ 1,z,u). [para(320(a,1),2760(a,2,2,1,1))]. 3605 (x * (y * (x * z))) \ ((x * y) * (x * z)) = a(x,T(y,x),T(x,y) * z). [para(2965(a,1),3104(a,1,1,2))]. 3606 a(x,T(y,x),T(x,y) * z) != u | a(x,y,x * z) = u. [para(3605(a,1),1084(a,1))]. 3607 R(K(x,y \ R(y,z,u)),R(y,z,u),z * u) = K(x,a(y,z,u)). [hyper(306,a,1971,a(flip),b,3518,a),flip(a)]. 3608 (L(x,y,z) * (z * y)) \ (x * (z * y)) = T(a(z,y,x),z * y). [para(14(a,2),3572(a,1,1)),flip(a)]. 3609 a(x,y,T(z,y * x)) = T(a(x,y,z),x * y). [hyper(64,a,2386,a(flip),b,3608,a)]. 3610 (x * (K(y,z) \ u)) \ (x * u) = T(K(y,z),w) * a(x,u,K(z,y)). [para(3570(a,1),3585(a,2,2))]. 3611 L(T(K(x,y),z),u,w) = (w * (K(x,y) \ u)) \ (w * u). [hyper(306,a,3586,a,b,3610,a)]. 3612 L(T(K(x,y),z),u,w) = (w * (K(y,x) * u)) \ (w * u). [para(2913(a,1),3611(a,2,1,2))]. 3613 L(K(x,T(y,z)),u,w) = (w * (K(y,x) * u)) \ (w * u). [para(1944(a,1),3612(a,1,1))]. 3614 (x * (K(y,z) * u)) * L(K(z,T(y,w)),u,x) = x * u. [hyper(121,a,3613,a,b,xx)]. 3615 K(x,(y * z) / (y * (u \ z))) * (y * (K(u,x) * z)) = (y * (K(w,v5) * z)) * L(K(v5,T(w,v6)),z,y). [hyper(306,a,3396,a,b,3614,a)]. 3616 L(x \ L(y \ (y * x),z,u),x,y) = y \ ((y / x) * L((y / x) \ y,z,u)). [hyper(306,a,2519,a(flip),b,3604,a),flip(a)]. 3617 L(x \ L(y \ (y * x),z,u),x,y) = y \ ((y / x) * L(x,z,u)). [para(78(a,1),3616(a,2,2,2,1))]. 3618 L(x \ L(x,y,z),x,u) = u \ ((u / x) * L(x,y,z)). [para(9(a,1),3617(a,1,1,2,1))]. 3619 x \ ((x / (y \ 1)) * L(y \ 1,y,x)) = (x * (y \ 1)) \ (x / y). [hyper(64,a,614,a(flip),b,3618,a),flip(a)]. 3620 L(x \ L(x,y,z),x,u) * u != w | T((u / x) * L(x,y,z),u) = w. [para(3618(a,2),856(a,1,1))]. 3621 L(x \ L(x,y,z),x,z * y) = (z * y) \ ((z * (y * x)) / x). [para(2463(a,1),3618(a,2,2))]. 3622 ((x * y) * z) \ (x * (y * z)) = (x * y) \ ((x * (y * z)) / z). [hyper(64,a,616,a(flip),b,3621,a)]. 3623 (x * y) \ ((x * (y * (y \ 1))) / (y \ 1)) = ((x * y) * (y \ 1)) \ x. [para(70(a,1),3622(a,1,2)),flip(a)]. 3624 x \ ((x / (y \ 1)) * L(y \ 1,y,x)) = (x / y) * (y * (x \ 1)). [hyper(306,a,2447,a(flip),b,3619,a),flip(a)]. 3625 x \ ((y \ 1) \ (y \ x)) = (x / y) * (y * (x \ 1)). [para(3272(a,1),3624(a,1,2))]. 3626 x \ (y \ ((y \ 1) \ x)) = (x / y) * (y * (x \ 1)). [para(2357(a,1),3625(a,1,2))]. 3627 (x * y) \ ((x * (y * (y \ 1))) / (y \ 1)) = L(x,y,y \ 1) \ x. [para(2131(a,1),3623(a,2,1))]. 3628 (x * y) \ ((x * (y * (y \ 1))) / (y \ 1)) = a(y \ 1,y,x). [hyper(306,a,1107,a(flip),b,3627,a),flip(a)]. 3629 (x * y) \ (x / (y \ 1)) = a(y \ 1,y,x). [para(70(a,1),3628(a,1,2,1))]. 3630 (x * y) \ (x / (y \ 1)) = a(y,y \ 1,x). [hyper(306,a,2336,a(flip),b,3629,a),flip(a)]. 3631 (x / (y \ 1)) \ L(x / (y \ 1),y,y \ 1) = a(y,y \ 1,x) \ 1. [para(3630(a,1),2321(a,2,1))]. 3632 (x / (y \ 1)) \ L(x / (y \ 1),y,y \ 1) = a(x,y,y \ 1). [hyper(306,a,2338,a(flip),b,3631,a),flip(a)]. 3633 (x / (y \ 1)) \ (x * y) = a(x,y,y \ 1). [para(2318(a,1),3632(a,1,2))]. 3634 (a(x,y,x) * (z * (u * w))) \ ((a(x,y,x) * (z * u)) * w) = a(a(x,y,x) * z,u,w). [para(784(a,1),1193(a,1,2,1))]. 3635 (x * (a(y,z,y) * (u * w))) \ ((x * (a(y,z,y) * u)) * w) = a(x * a(y,z,y),u,w). [para(786(a,1),1194(a,1,2,1))]. 3636 R(T(x,y \ 1),z,u) * (T(x,y \ 1) \ y) = (y / x) * R(T(T(x,y),y \ 1),z,u). [para(23(a,1),2093(a,2,2,1))]. 3637 ((K(x,y) * z) * (z \ x)) / T(x,y) = a(K(x,y),z,z \ x). [para(3381(a,1),2275(a,1,2))]. 3638 ((x / y) * (y * K(x,z))) / T(x,z) = a(K(x,z),y,y \ x). [para(1562(a,2),3637(a,1,1))]. 3640 ((x \ 1) * y) * L((y \ 1) * x,z,u) = (x \ 1) * (y * L(y \ x,z,u)). [para(326(a,1),2479(a,1,2,2,1,2)),flip(a)]. 3641 ((x \ 1) * (y \ 1)) * L(((y \ 1) \ 1) * x,y,y \ 1) = (x \ 1) * ((y \ 1) * (y * x)). [para(2325(a,1),3640(a,2,2,2))]. 3642 (x / (x * y)) * R(((x / y) / x) \ 1,z,u) = x / ((x / R((x / y) \ x,z,u)) * y). [para(394(a,1),2489(a,1,1))]. 3643 R(K(R(x,y,z),u),R(x,y,z),y * z) = ((T(x,u) * y) * z) / ((x * y) * z). [para(102(a,1),2557(a,1,1)),flip(a)]. 3644 ((T(x,y) * z) * u) / ((x * z) * u) = K(R(x,z,u),y). [hyper(3167,a,3643,a),flip(a)]. 3645 R(K(x,y),x * z,u) = K(R(x,z,u),y). [hyper(2832,a,3644,a)]. 3646 K(R(x,x \ y,z),u) = R(K(x,u),y,z). [para(10(a,1),3645(a,1,2)),flip(a)]. 3647 K(x,R(y,y \ z,u)) = (w * R(K(y,x),z,u)) \ w. [para(3646(a,1),2905(a,1,1,2)),flip(a)]. 3648 (x * R(K(y,z),u,w)) \ x = R(K(z,y),u,w). [hyper(64,a,3509,a(flip),b,3647,a),flip(a)]. 3649 (x * R(K(y,z),u,w)) * R(K(z,y),u,w) = x. [hyper(121,a,3509,a(flip),b,3647,a(flip))]. 3650 R(K(x,y),z,u) \ 1 = R(K(y,x),z,u). [hyper(557,a,3648,a)]. 3652 R(K(x,y),z,u) != w | R(K(y,x),z,u) \ 1 = w. [para(3648(a,1),557(a,1))]. 3654 x / (K(y,z) * R(K(z,u),w,v5)) = (x * R(K(u,z),w,v5)) * K(z,y). [hyper(119,a,3649,a(flip),b,3404,a)]. 3655 ((x * (y * (y \ 1))) / (y \ 1)) \ (x * y) = (x * y) \ (((x * y) * y) * (y \ 1)). [para(74(a,1),2601(a,2,2,1,1))]. 3656 ((x * (y * (y \ 1))) / (y \ 1)) \ (x * y) = a(x * y,y,y \ 1). [hyper(306,a,213,a(flip),b,3655,a),flip(a)]. 3657 a(x * y,y,y \ 1) = (x / (y \ 1)) \ (x * y). [para(70(a,1),3656(a,1,1,1)),flip(a)]. 3658 a(x * y,y,y \ 1) = a(x,y,y \ 1). [hyper(306,a,3633,a(flip),b,3657,a),flip(a)]. 3659 a(x / y,y,y \ 1) = a(x,y,y \ 1). [para(12(a,1),3658(a,1,1)),flip(a)]. 3660 x * ((y * x) * R(T(x * y,x) \ y,z,u)) = (x * y) * (x * R(x \ 1,z,u)). [para(792(a,1),2692(a,1,2,1))]. 3661 x * ((y * x) * R((y * x) \ y,z,u)) = (x * y) * (x * R(x \ 1,z,u)). [para(792(a,1),3660(a,1,2,2,1,1))]. 3662 (x * y) * (x * R(x \ 1,z,u)) = x * (y * (x * R(x \ 1,z,u))). [para(1274(a,1),3661(a,1,2)),flip(a)]. 3663 (x * ((L(x,y,z) \ 1) * u)) \ ((L(x,y,z) \ x) * u) = a(L(x,y,z) \ 1,x,u). [para(782(a,1),3590(a,1,2,1))]. 3664 (a(x,y,x) * (z * (u * w))) \ (a(x,y,x) * ((z * u) * w)) = a(a(x,y,x) * z,u,w). [para(784(a,1),3634(a,1,2))]. 3665 a(x * a(y,z,y),u,w) = a(x,a(y,z,y) * u,w). [hyper(64,a,1192,a(flip),b,3635,a),flip(a)]. 3666 a(x / a(y,z,y),a(y,z,y) * u,w) = a(x,u,w). [para(12(a,1),3665(a,1,1)),flip(a)]. 3667 R(T(x,y \ 1),z,u) * (T(x,y \ 1) \ y) = (y / x) * R(x,z,u). [para(2053(a,1),3636(a,2,2,1))]. 3668 (x / (x * y)) * R((x / (x * y)) \ 1,z,u) = x / ((x / R((x / y) \ x,z,u)) * y). [para(394(a,1),3642(a,1,2,1,1))]. 3669 L(a(x,y,z),x * (y * z),a(u,w,u)) = a(a(u,w,u) * x,y,z). [hyper(1165,a,3664,a)]. 3670 a(a(x,y,x) * z,u,w) = a(z,u,w). [hyper(785,a,3669,a),flip(a)]. 3672 a(a(x,y,x) \ z,u,w) = a(z,u,w). [para(10(a,1),3670(a,1,1)),flip(a)]. 3673 a(K(x,x \ y),z,u) = a(K(x,y),z,u). [para(1810(a,2),3670(a,1,1))]. 3674 a(x / a(y,z,y),u,w) = a(x,u,w). [para(777(a,2),3672(a,1,1))]. 3675 a(x,a(y,z,y) * u,w) = a(x,u,w). [hyper(64,a,3666,a(flip),b,3674,a),flip(a)]. 3677 a(x,a(y,z,y) \ u,w) = a(x,u,w). [para(10(a,1),3675(a,1,2)),flip(a)]. 3678 a(x,K(y,K(z,u)) \ w,v5) = a(x,w,v5). [para(439(a,2),3677(a,1,2,1))]. 3679 a(K(x,y \ x),z,u) = a(K(y,x),z,u). [para(1886(a,2),3673(a,1,1))]. 3680 a(x,(y \ 1) \ 1,z) = a(x,y,z). [para(551(a,1),3678(a,1,2))]. 3682 a(K(x,y \ 1),z,u) = a(K(y,x),z,u). [para(2075(a,2),3679(a,1,1))]. 3683 a(K(x \ 1,y),z,u) = a(K(y,x),z,u). [para(326(a,1),3682(a,1,1,2)),flip(a)]. 3684 a(R(K(x,y),(y * x) * z,u),w,v5) = a(K(R(y,x * z,u) \ 1,x),w,v5). [para(3528(a,2),3683(a,2,1)),flip(a)]. 3685 (x * R(x \ (x * y),z,u)) / (x * y) = x / ((x / R((x / y) \ x,z,u)) * y). [hyper(64,a,2488,a(flip),b,3668,a)]. 3686 x / ((x / R((x / y) \ x,z,u)) * y) = (x * R(y,z,u)) / (x * y). [para(9(a,1),3685(a,1,1,2,1)),flip(a)]. 3687 (x * R(y,z,u)) / (x * y) = x / ((x / R(y,z,u)) * y). [para(78(a,1),3686(a,1,2,1,2,1)),flip(a)]. 3688 (x / y) / (((x / y) / R(y,z,u)) * y) = ((x / y) * R(y,z,u)) / x. [para(12(a,1),3687(a,1,2)),flip(a)]. 3689 ((x * y) * z) / ((((x * y) * z) / R(T(x,y * z),y,z)) * T(x,y * z)) = ((x * y) * (y \ ((x * y) * z))) / (((x * y) * z) * T(x,y * z)). [para(1317(a,1),3687(a,1,1)),flip(a)]. 3690 (x / y) / (((x / y) / R(y,z,u)) * y) = x / ((x / R(y,z,u)) * y). [hyper(306,a,733,a(flip),b,3688,a),flip(a)]. 3691 (x / y) / (x / R(y,z,u)) = x / ((x / R(y,z,u)) * y). [para(1638(a,1),3690(a,1,2))]. 3692 (x / y) / (R(x * (y / x),z,u) \ x) = x / ((x / R(y,z,u)) * y). [para(1248(a,2),3691(a,1,2))]. 3693 a(R(x,y,z),x \ 1,u) != w | a(x \ 1,R(x,y,z),u) = w. [para(3533(a,1),1366(a,1))]. 3694 a(L(x,y,z) \ 1,x,u) = a(x,L(x,y,z) \ 1,u). [hyper(1368,a,3663,a),flip(a)]. 3695 a(L(x,y,z) \ 1,x,u) != w | a(x,L(x,y,z) \ 1,u) = w. [para(3663(a,1),1368(a,1))]. 3696 K(x \ (x / R(y,z,u)),x) = (((y * z) * T((y * z) \ z,x)) * u) / (z * u). [para(2286(a,1),1711(a,2,1))]. 3697 K(x \ (x / R(y,z,u)),x) = (((y * T(y \ 1,x)) * z) * u) / (z * u). [para(2199(a,1),3696(a,2,1,1))]. 3698 R(x * T(x \ 1,y),z,u) = K(y \ (y / R(x,z,u)),y). [hyper(306,a,20,a,b,3697,a)]. 3699 R(x * T(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). [hyper(306,a,2893,a(flip),b,3698,a),flip(a)]. 3701 R(K(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). [para(1901(a,1),3699(a,1,1))]. 3702 K(R(x,y * z,u) \ 1,y) = K(x \ 1,R(y,z,u)). [hyper(64,a,3508,a(flip),b,3701,a),flip(a)]. 3703 K(R(x \ 1,y,z) \ 1,u) = R(K(x,u),y,z). [para(326(a,1),3701(a,1,1,1)),flip(a)]. 3704 K(x,R(y \ 1,z,u) \ 1) = R(K(y,x),z,u) \ 1. [para(3703(a,1),1992(a,1,1)),flip(a)]. 3705 a(R(K(x,y),(y * x) * z,u),w,v5) = a(K(y \ 1,R(x,z,u)),w,v5). [para(3702(a,1),3684(a,2,1))]. 3706 K(x,R(y \ 1,z,u) \ 1) = R(K(x,y),z,u). [hyper(306,a,3650,a(flip),b,3704,a),flip(a)]. 3707 R(K(x,y \ 1),z,u) = K(x,R(y,z,u) \ 1). [para(326(a,1),3706(a,1,2,1,1)),flip(a)]. 3708 K(R(x,y,z) \ 1,u \ 1) = K(x \ 1,R(u,y,z) \ 1). [hyper(64,a,3701,a(flip),b,3707,a)]. 3709 a(K(x \ 1,R(y,z,u) \ 1),w,v5) = a(K(y,R(x,z,u) \ 1),w,v5). [para(3708(a,1),3682(a,1,1))]. 3710 a(R(K(x,y),(y * x) * z,u),w,v5) = a(K(R(x,z,u),y),w,v5). [hyper(306,a,3683,a(flip),b,3705,a),flip(a)]. 3711 a(K(x,R(y,x * z,u)),w,v5) = a(K(R(x,z,u),y),w,v5). [para(3528(a,1),3710(a,1,1))]. 3712 a(K(R(x,y,z),u \ 1),w,v5) = a(K(x,R(u,y,z) \ 1),w,v5). [hyper(64,a,3682,a(flip),b,3709,a)]. 3713 a(K(x,R(y,z,u) \ 1),w,v5) = a(K(y,R(x,z,u)),w,v5). [hyper(64,a,3682,a(flip),b,3712,a),flip(a)]. 3714 a(K(R(x,y,z),u),w,v5) = a(K(x,R(u,y,z)),w,v5). [hyper(64,a,3682,a(flip),b,3713,a)]. 3715 a(K(x,R(y,x * z,u)),w,v5) = a(K(x,R(y,z,u)),w,v5). [hyper(64,a,3711,a,b,3714,a)]. 3716 (((x / y) * (y * z)) / z) \ ((x / y) * y) = x \ ((x / L(z,y,x / y)) * z). [para(12(a,1),2600(a,1,2,1,1)),flip(a)]. 3717 (((x / y) * (y * z)) / z) \ ((x / y) * y) = x \ (((x / (y * z)) * y) * z). [para(1091(a,1),3716(a,2,2,1))]. 3718 T((x * (y * z)) \ ((x * y) * z),z * u) = T((x * (y * z)) \ ((x * y) * z),u). [hyper(64,a,1286,a(flip),b,2708,a),flip(a)]. 3719 T((x * (y * z)) \ ((x * y) * z),z * u) = T(a(x,y,z),u). [para(14(a,2),3718(a,2,1))]. 3720 T(a(x,y,z),z * u) = T(a(x,y,z),u). [para(14(a,2),3719(a,1,1))]. 3721 L((x \ (x / y)) \ z,(y * x) \ x,y * x) = ((y * x) / y) \ ((y * x) * z). [para(1143(a,1),3372(a,1,1,1))]. 3722 L((x \ (x / y)) \ z,x \ (y \ x),y * x) = ((y * x) / y) \ ((y * x) * z). [para(349(a,1),3721(a,1,2))]. 3723 L((x \ (x / y)) \ z,x \ (y \ x),y * x) = x \ ((x * y) * z). [hyper(306,a,3071,a(flip),b,3722,a),flip(a)]. 3724 ((x * y) \ 1) * L(((x \ 1) \ 1) * y,x,x \ 1) = (y \ 1) * ((x \ 1) * (x * y)). [para(515(a,1),3641(a,1,1))]. 3725 ((x * y) \ 1) * L(x * y,x,x \ 1) = (y \ 1) * ((x \ 1) * (x * y)). [para(326(a,1),3724(a,1,2,1,1))]. 3726 (x * y) \ L(x * y,x,x \ 1) = (y \ 1) * ((x \ 1) * (x * y)). [hyper(64,a,849,a(flip),b,3725,a)]. 3727 a(x * y,x,x \ 1) = (y \ 1) * ((x \ 1) * (x * y)). [hyper(2138,a,3726,a)]. 3728 a(x * y,x,x \ 1) = (y \ 1) * L(y,x,x \ 1). [para(714(a,1),3727(a,2,2))]. 3729 a(x * y,x,x \ 1) = y \ L(y,x,x \ 1). [hyper(306,a,849,a(flip),b,3728,a),flip(a)]. 3730 a(x * y,x,x \ 1) = a(y,x,x \ 1). [hyper(306,a,2137,a(flip),b,3729,a),flip(a)]. 3731 a(x * (y / x),x,x \ 1) = (y / x) \ (y * (x \ 1)). [para(2130(a,1),3729(a,2,2))]. 3733 a(x \ y,x,x \ 1) = a(y,x,x \ 1). [para(10(a,1),3730(a,1,1)),flip(a)]. 3734 a(T((x \ 1) \ y,z),x \ 1,(x \ 1) \ 1) = a(x \ T(x * y,z),x \ 1,(x \ 1) \ 1). [para(1291(a,1),3730(a,1,1)),flip(a)]. 3735 a(x * K(y,z),T(z,y),T(z,y) \ 1) = a(z * x,T(z,y),T(z,y) \ 1). [para(2925(a,1),3730(a,1,1)),flip(a)]. 3736 a((x \ 1) \ y,x,x \ 1) = (x \ ((x \ 1) \ y)) \ y. [hyper(64,a,2651,a(flip),b,3733,a),flip(a)]. 3737 a(x / y,y,x \ 1) = a(y * (x / y),y,y \ 1). [hyper(306,a,2596,a(flip),b,3731,a)]. 3738 a(x / y,y,y \ 1) = a(x / y,y,x \ 1). [hyper(306,a,3730,a(flip),b,3737,a)]. 3739 a(x / y,y,x \ 1) = a(x,y,y \ 1). [hyper(64,a,3659,a(flip),b,3738,a),flip(a)]. 3740 a(x * K(y,z),T(z,y),T(z,y) \ 1) = a(z * x,z,z \ 1). [hyper(306,a,3329,a(flip),b,3735,a),flip(a)]. 3742 a(x * K(y,z),T(z,y),T(z,y) \ 1) = a(x,z,z \ 1). [hyper(306,a,3730,a(flip),b,3740,a),flip(a)]. 3743 a(x * K(y,z),z,z \ 1) = a(x,z,z \ 1). [hyper(64,a,3329,a(flip),b,3742,a)]. 3745 a(x,x \ 1,(y * K(z,x)) \ 1) = a(y,x,x \ 1). [hyper(64,a,2279,a,b,3743,a)]. 3746 ((T(x,y) * R(x \ K(y,x),z,u)) \ 1) \ 1 = T(x,y) / (R(x \ K(y,x),z,u) \ 1). [para(1828(a,1),2164(a,1,1))]. 3747 T(x,y) / (R(x \ K(y,x),z,u) \ 1) = T(x,y) * R(x \ K(y,x),z,u). [hyper(333,a,3746,a),flip(a)]. 3748 T(x,y) / (R(x \ K(y,x),z,u) \ 1) = T(x * R(x \ 1,z,u),y). [hyper(306,a,2662,a(flip),b,3747,a),flip(a)]. 3749 a(T((x \ 1) \ y,z),x \ 1,(x \ 1) \ 1) = a(x \ T(x * y,z),x \ 1,x). [hyper(306,a,1371,a(flip),b,3734,a),flip(a)]. 3750 a(T((x \ 1) \ y,z),x \ 1,(x \ 1) \ 1) = a(x \ T(x * y,z),x,x \ 1). [hyper(306,a,2341,a(flip),b,3749,a),flip(a)]. 3751 a(T((x \ 1) \ y,z),x \ 1,(x \ 1) \ 1) = a(T(x * y,z),x,x \ 1). [hyper(306,a,3733,a(flip),b,3750,a),flip(a)]. 3752 K((x * y) * z,T(x,y * z)) = K(y * z,x). [hyper(1564,a,2918,a)]. 3753 K((x * y) * z,x) = K(y * z,x). [hyper(1963,a,3752,a)]. 3755 K((x * y) * (y \ z),x) = K(z,x). [para(10(a,1),3753(a,2,1))]. 3756 (x * y) * ((y \ z) * K(z,x)) = T((x * y) * (y \ z),x). [para(3755(a,1),3457(a,1,2,2))]. 3757 (x * (y * T(T(y,z),z))) \ ((x * R(T(y,z),u,y)) * T(y,z)) = a(x,R(T(y,z),u,y),T(y,z)). [para(2882(a,1),2450(a,1,1,2))]. 3758 L(x * L(x \ 1,y,z),x \ u,x) * (x \ u) = (x \ u) * T(x * L(x \ 1,y,z),u). [para(22(a,2),2517(a,2,2))]. 3759 (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(22(a,2),2550(a,1,2,2,1)),flip(a)]. 3760 (R(x,y,z) * R(R(x,y,z) \ (x * y),u,w)) * z = R(x,y,z) * (R(y,u,w) * z). [para(229(a,1),3759(a,2,2))]. 3761 (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(3304(a,1),3760(a,1,1,1))]. 3762 ((x / (y \ 1)) * L(y \ (x \ 1),y,x)) \ 1 = (x / (y \ 1)) \ (1 / ((y \ 1) * (x \ 1))). [para(579(a,1),2577(a,1,1,2,1))]. 3763 (x / (y \ 1)) \ (1 / ((y \ 1) * (x \ 1))) = ((x / (y \ 1)) * ((x * y) \ 1)) \ 1. [para(293(a,1),3762(a,1,1,2)),flip(a)]. 3764 (x / (y \ 1)) \ (1 / ((y \ 1) * (x \ 1))) = 1 \ ((x * y) * ((x / (y \ 1)) \ 1)). [hyper(306,a,518,a(flip),b,3763,a),flip(a)]. 3765 (x / (y \ 1)) \ (1 / ((y \ 1) * (x \ 1))) = 1 \ ((x * y) * (y \ (x \ 1))). [para(579(a,1),3764(a,2,2,2))]. 3766 (x / (y \ 1)) \ (1 / ((y \ 1) * (x \ 1))) = (x * y) * (y \ (x \ 1)). [hyper(306,a,66,a(flip),b,3765,a),flip(a)]. 3767 (x / (y \ 1)) \ (1 / ((x * y) \ 1)) = (x * y) * (y \ (x \ 1)). [para(515(a,1),3766(a,1,2,2))]. 3768 (x / (y \ 1)) \ (x * y) = (x * y) * (y \ (x \ 1)). [para(75(a,1),3767(a,1,2))]. 3769 (x * y) * (y \ (x \ 1)) = a(x,y,y \ 1). [hyper(64,a,3633,a(flip),b,3768,a),flip(a)]. 3772 a(x,R(T(y,z),u,y),T(y,z)) = (x * (y * T(T(y,z),z))) \ ((x * T(y,z)) * T(y,z)). [para(810(a,1),3757(a,1,2,1,2)),flip(a)]. 3774 a(x,R(T(y,z),u,y),T(y,z)) = (x * (y * T(T(y,z),z))) \ ((x * y) * T(T(y,z),z)). [para(3276(a,1),3772(a,2,2))]. 3775 a(x,R(T(y,z),u,y),T(y,z)) = a(x,y,T(T(y,z),z)). [hyper(306,a,14,a,b,3774,a),flip(a)]. 3776 a(x,T(y,z),T(y,z)) = a(x,y,T(T(y,z),z)). [para(449(a,1),3775(a,1,2))]. 3777 K(x,y) * ((x / (x * y)) * T(z,(x / y) \ x)) = T((x \ (x / y)) * z,(x \ (x / y)) \ 1). [para(3020(a,1),3192(a,1,2,2))]. 3778 T((x \ (x / y)) * z,(x \ (x / y)) \ 1) = K(x,y) * ((x / (x * y)) * T(z,y)). [para(78(a,1),3777(a,1,2,2,2)),flip(a)]. 3779 T((x \ (x / y)) * z,(x \ (x / y)) \ 1) = (x \ (x / y)) * T(z,y). [hyper(306,a,3181,a(flip),b,3778,a),flip(a)]. 3780 T((x \ (x / y)) * z,(x / y) \ x) = (x \ (x / y)) * T(z,y). [hyper(3021,a,3779,a)]. 3781 T((x \ (x / y)) * z,y) = (x \ (x / y)) * T(z,y). [para(78(a,1),3780(a,1,2))]. 3782 x * T((y \ (y / x)) * z,x) = (y \ (y / x)) * (z * x). [para(3781(a,2),2641(a,1,2))]. 3783 ((x \ (x / y)) * z) * y = (x \ (x / y)) * (z * y). [hyper(281,a,3782,a)]. 3784 x * T(x \ ((y \ (y / x)) \ (z * x)),u) = T((y \ (y / x)) \ z,u) * x. [hyper(2365,a,3783,a)]. 3785 (x \ (x / y)) * (T((x \ (x / y)) \ z,x) * y) = ((x / y) * T((x / y) \ z,x)) * y. [para(1698(a,1),3783(a,1,1)),flip(a)]. 3786 x * T(x \ (x * (y / (z \ (z / x)))),u) = T((z \ (z / x)) \ y,u) * x. [para(3402(a,1),3784(a,1,2,1,2))]. 3787 T((x \ (x / y)) \ z,u) * y = y * T(z / (x \ (x / y)),u). [para(9(a,1),3786(a,1,2,1)),flip(a)]. 3789 (x \ (x / y)) * (T((x \ (x / y)) \ z,x) * y) = x * T(x \ (z * y),x). [hyper(306,a,2291,a(flip),b,3785,a),flip(a)]. 3790 (x \ (x / y)) * (T((x \ (x / y)) \ z,x) * y) = (x \ (z * y)) * x. [hyper(306,a,106,a(flip),b,3789,a),flip(a)]. 3791 (x \ (x / y)) * (T((x \ (x / y)) \ z,x) * y) = T(z * y,x). [hyper(306,a,793,a,b,3790,a),flip(a)]. 3792 (x \ (x / y)) * (y * T(z / (x \ (x / y)),x)) = T(z * y,x). [para(3787(a,1),3791(a,1,2))]. 3793 x * ((y \ (y / x)) * T(z / (y \ (y / x)),y)) = T(z * x,y). [hyper(64,a,2640,a(flip),b,3792,a)]. 3794 x * (((T(x,y) * z) \ ((T(x,y) * z) / x)) * u) = (u * x) * L(x \ 1,x,z). [para(3425(a,1),3431(a,1,2)),flip(a)]. 3795 x * (((T(x,y) * z) \ (T(x,y) * (z / x))) * u) = (u * x) * L(x \ 1,x,z). [para(1094(a,1),3794(a,1,2,1,2))]. 3797 (x * y) * L(y \ 1,y,z) = y * (L(y \ 1,y,z) * x). [para(3425(a,1),3795(a,1,2,1)),flip(a)]. 3798 ((x / y) * (y * K(z,x))) \ ((z * x) / z) = x \ (((x / y) * (y * K(x,z))) * K(z,x)). [para(12(a,1),3555(a,2,1))]. 3799 T(((x / y) * (y * K(x,z))) / T(x,z),x) = ((x / y) * (y * K(z,x))) \ ((z * x) / z). [hyper(306,a,2902,a,b,3798,a)]. 3800 ((x / y) * (y * K(z,x))) \ ((z * x) / z) = T(a(K(x,z),y,y \ x),x). [para(3638(a,1),3799(a,1,1)),flip(a)]. 3801 ((x / y) * (y * K(z,x))) \ ((z * x) / z) = a(K(x,z),y,y \ x). [hyper(306,a,3380,a(flip),b,3800,a),flip(a)]. 3802 a(K(x,y),z,z \ x) = a(x / z,z,K(y,x)). [hyper(64,a,1746,a(flip),b,3801,a),flip(a)]. 3803 a(K(x * y,z),y,y \ (x * y)) = a(x,y,K(z,x * y)). [para(11(a,1),3802(a,2,1))]. 3804 a(K(x * y,z),y,T(x,y)) = a(x,y,K(z,x * y)). [para(22(a,2),3803(a,1,3))]. 3805 T(x * y,z) * a(x,y,K(z,x * y)) = (K(x * y,z) * y) * T(x,y). [para(3804(a,1),1929(a,1,2))]. 3806 T(x * y,z) * a(x,y,K(z,x * y)) = x * (y * K(x * y,z)). [hyper(306,a,1560,a(flip),b,3805,a),flip(a)]. 3807 a(x,y,K(z,x * y)) = 1. [hyper(117,a,3457,a(flip),b,3806,a),flip(a)]. 3808 a(x,y,K(z,x * (y * z))) = 1. [para(2442(a,2),3807(a,1,3))]. 3809 R(L(x,y,z),z * y,T(x,z * y)) \ (x * (z * y)) = (z * y) * a(z,y,T(x,z * y)). [para(22(a,2),2385(a,1,1,3))]. 3810 L(R(x,y * z,T(x,y * z)),z,y) \ (x * (y * z)) = (y * z) * a(y,z,T(x,y * z)). [para(29(a,1),3809(a,1,1))]. 3811 L(x,y,z) \ (x * (z * y)) = (z * y) * a(z,y,T(x,z * y)). [para(809(a,1),3810(a,1,1,1))]. 3812 (x * y) * a(x,y,T(z,x * y)) = z * (L(z,y,x) \ (x * y)). [hyper(64,a,1598,a(flip),b,3811,a),flip(a)]. 3813 R(L(x,y \ 1,z \ 1),x * R(x \ 1,y,z),x \ u) \ u = L(R(x \ 1,y,z),x,u) * u. [para(2587(a,1),2598(a,1,1,1))]. 3814 L(R(x,x * R(x \ 1,y,z),x \ u),y \ 1,z \ 1) \ u = L(R(x \ 1,y,z),x,u) * u. [para(29(a,1),3813(a,1,1))]. 3815 L(K(x,T(y,z)),u,w) = K(x,(w * (y \ u)) \ (w * u)). [hyper(2126,a,3615,a),flip(a)]. 3816 (x * (y * (y * R(y \ 1,z,u)))) \ ((x * y) * (y * R(y \ 1,z,u))) = a(x,y * R(y \ 1,z,u),y). [para(1190(a,1),2614(a,1,1,2))]. 3817 L(x,L(y \ 1,y,x),L(y \ 1,y,x)) = (y \ (x / y)) \ ((y \ x) * (y \ x)). [para(934(a,1),3190(a,1,1))]. 3818 K(x,(y * ((z * u) * (z \ (z / u)))) \ (y * (z * u))) = (y * z) \ (y * (z * K(x,u))). [para(2190(a,1),3504(a,2,2,2))]. 3819 K(x,(y * ((z * u) * (z \ (z / u)))) \ (y * (z * u))) = L(K(x,u),z,y). [hyper(306,a,18,a,b,3818,a),flip(a)]. 3820 K(x,(y * z) \ (y * (z * u))) = L(K(x,u),z,y). [para(381(a,1),3819(a,1,2,1,2))]. 3821 L(K(x,y),z,u) = K(x,L(y,z,u)). [para(18(a,2),3820(a,1,2)),flip(a)]. 3822 K(L(x,x \ y,z),u) = K(x,L(u,y,z)). [hyper(3333,a,3821,a)]. 3823 K(x,L(y,z * x,u)) = K(L(x,z,u),y). [hyper(3257,a,3821,a),flip(a)]. 3824 R(K(x,y),z,u) = K(x,L(y,z,u)). [hyper(3175,a,3821,a)]. 3825 K(x,L(y,y,z)) = K(x,y). [hyper(3078,a,3821,a),flip(a)]. 3826 x / L(K(y,z),u,w) = x * K(L(z,u,w),y). [hyper(196,a,3821,a,b,2905,a)]. 3827 x * L(K(x,y),z,u) = T(x,L(y,z,u)). [hyper(121,a,3821,a,b,1935,a)]. 3828 K(x,y) * a(z,u,K(y,x)) = K(x,L(y,u,z)). [hyper(64,a,3544,a,b,3821,a)]. 3829 ((x * y) \ 1) \ (((x * K(z,u)) * y) \ 1) = K(u,L(z,x \ 1,y \ 1)). [hyper(64,a,2387,a,b,3821,a)]. 3830 K(x,L(y,z,K(x,u))) = K(x,y). [hyper(64,a,2745,a(flip),b,3821,a),flip(a)]. 3831 (x * y) * K(z,L(u,x,y)) = y * (T(x,y) * K(z,u)). [hyper(121,a,3821,a(flip),b,3126,a(flip))]. 3832 (x * y) * K(z,L(u,y,x)) = x * (y * K(z,u)). [hyper(121,a,3821,a(flip),b,18,a(flip))]. 3833 K(x,L(y,z,u)) * (z * u) = (z * K(x,y)) * u. [hyper(120,a,3821,a(flip),b,3165,a)]. 3834 K(x * y,L(x,z,u)) = L(K(y,x),z,u). [para(1884(a,1),3821(a,1,1)),flip(a)]. 3835 K(x,L(y * K(z,u),w,v5)) = L(K(x,y),w,v5). [para(1993(a,1),3821(a,1,1)),flip(a)]. 3836 L(K(x,y),z,u) \ w = w * K(L(y,z,u),x). [para(3821(a,2),2911(a,1,1))]. 3837 K(x,L(y,y,z)) != u | K(x,y) = u. [para(3821(a,1),3078(a,1))]. 3838 (x * y) * K(z,L(u,x,y)) = (x * K(z,u)) * y. [para(3821(a,1),3118(a,1,2))]. 3839 K(x,L(y,z,u)) * (z * u) = (K(x,y) * z) * u. [para(3821(a,1),3166(a,1,1))]. 3840 K(x,y) * K(y,L(x,z,u)) = a(u,z,K(x,y)). [para(3821(a,1),3538(a,1,2))]. 3841 T(x,L(y,y,z)) = x * K(x,y). [hyper(121,a,3825,a(flip),b,1935,a),flip(a)]. 3842 K(x,(K(y,x) * z) \ u) = K(x,z \ (K(x,y) * u)). [para(2945(a,1),3830(a,1,2)),flip(a)]. 3843 T(x,L(y,y,z)) = T(x,y). [hyper(306,a,1892,a,b,3841,a),flip(a)]. 3844 T(L(x,x,y) * z,x) = z * L(x,x,y). [hyper(946,a,3843,a),flip(a)]. 3845 R(K(x,y),z,u) = K(x,R(y,z,u)). [hyper(306,a,3356,a,b,3824,a),flip(a)]. 3846 K(x,y \ ((z * u) * K(w,L(v5,z,u)))) = K(x,y \ ((K(w,v5) * z) * u)). [para(3824(a,1),2259(a,1,2,2,2))]. 3847 R(K(x,y),z,u) \ 1 = K(y,R(x,z,u)). [hyper(3652,a,3845,a)]. 3849 K(x * y,L(x,z,u)) = K(y,L(x,z,u)). [hyper(306,a,3821,a(flip),b,3834,a),flip(a)]. 3850 (L(x,x,y) * z) * x = x * (z * L(x,x,y)). [hyper(121,a,3844,a(flip),b,22,a(flip)),flip(a)]. 3851 R(K(x,y),z,u) = K(R(x,z,u),y). [hyper(40,a,2177,a,b,3847,a),flip(a)]. 3852 K(R(x,y,z),u) = K(x,L(u,y,z)). [hyper(64,a,3824,a(flip),b,3851,a),flip(a)]. 3853 K(L(x,y,z),u) = K(x,L(u,y,z)). [hyper(3354,a,3852,a)]. 3854 K(x,L(y,z,u)) != w | K(L(x,z,u),y) = w. [para(3852(a,1),3354(a,1))]. 3855 K(x,L(L(y,y,z),u,w)) = K(L(x,u,w),y). [hyper(3837,a,3853,a),flip(a)]. 3856 K(x * (y \ (z \ 1)),L(u,w,v5)) = K(u,L(x \ ((y \ 1) \ z),w,v5)). [hyper(3498,a,3853,a)]. 3857 L(K(x,y),z,u) = K(L(x,z,u),y). [hyper(306,a,3821,a,b,3853,a)]. 3858 K(L(x,x,y),z) = K(x,z). [hyper(306,a,3238,a(flip),b,3853,a),flip(a)]. 3859 K(x,L(y,z * x,u)) = K(x,L(y,z,u)). [hyper(64,a,3823,a,b,3853,a)]. 3860 K(x \ (y \ z),L(u,x,y)) = K((y * x) \ z,u). [para(293(a,1),3853(a,1,1)),flip(a)]. 3861 K(x,L(y \ 1,z,u)) != w | K(y,L(x,z,u)) = w. [para(3853(a,1),2080(a,1))]. 3862 K(L(x,K(y,z),u),y) = K(x,y). [para(2864(a,1),3853(a,2,2))]. 3863 ((x * y) * K(z,L(u,y,x))) \ (x * (y * T(z,u))) = L(z,y,x). [para(3853(a,1),2861(a,1,1,2))]. 3864 K(x,y) * L(x,x,z) = L(T(x,y),x,z). [para(3858(a,1),1924(a,1,1))]. 3865 L(x,x,y) * (z * K(x,u)) = T(L(x,x,y),u) * z. [para(3858(a,1),2822(a,1,2,2))]. 3866 K((x * K(y,z)) \ u,y) = K(K(y,z) \ (x \ u),y). [para(293(a,1),3862(a,1,1))]. 3867 K(L(x,y,z),T(u,w)) = K(x,(z * (u \ y)) \ (z * y)). [hyper(64,a,3815,a(flip),b,3857,a),flip(a)]. 3868 K(x,y) * K(L(y,z,u),x) = a(u,z,K(x,y)). [para(3857(a,1),3538(a,1,2))]. 3869 K(x \ y,L(x,z,u)) = K(y,L(x,z,u)). [para(10(a,1),3849(a,1,1)),flip(a)]. 3870 L(T(x,y \ x),x,z) = K(y,x) * L(x,x,z). [para(1909(a,1),3864(a,1,1)),flip(a)]. 3871 K(x * y,L(y,z,u)) != w | K(x,L(y,z,u)) = w. [para(3869(a,1),1840(a,1))]. 3872 L(K(x,y),z,u) != w | K(L(x,z,u),y) = w. [para(3821(a,2),3854(a,1))]. 3873 x / L(K(y,z),u,w) = x * L(K(z,y),u,w). [para(3857(a,2),3826(a,2,2))]. 3874 K(x,y) * K(y,L(x,z,u)) != w | a(u,z,K(x,y)) = w. [para(3828(a,1),2934(a,1,2)),flip(b)]. 3875 x \ y != y * K(L(z,u,w),v5) | L(K(v5,z),u,w) = x. [para(3836(a,1),49(a,1)),flip(a)]. 3876 T(x,L(y,z,u)) * K(y,x) = x * a(u,z,K(y,x)). [hyper(121,a,3840,a(flip),b,2828,a),flip(a)]. 3877 K(x,y) * a(z,u,K(y,x)) != w | K(x,L(y,u,z)) = w. [para(3840(a,1),2934(a,1,2)),flip(b)]. 3878 L(x,x,y) * (z * x) = x * (z * L(x,x,y)). [hyper(1156,a,3850,a)]. 3879 K(x * L(y,z,u),x * y) = a(u,z,K(x,y)). [hyper(3115,a,3868,a)]. 3880 K(x,L(y,z,u)) * a(u,z,K(x,y)) = K(x,y). [hyper(2920,a,3868,a)]. 3881 a(x,y,K(z,u)) * K(z,L(u,y,x)) = K(z,u). [hyper(2915,a,3868,a)]. 3882 a(x,y * z,K(u,z)) = a(x,y,K(u,z)). [hyper(64,a,3548,a(flip),b,3868,a)]. 3883 L(K(x,y),z,u) * a(u,z,K(x,y)) = K(x,y). [hyper(121,a,3868,a(flip),b,3836,a)]. 3884 K(x,y) * K(y,L(x,z,u)) = a(u,y \ z,K(x,y)). [para(3822(a,1),3868(a,1,2))]. 3885 a(x,y,K(z,u \ y)) = a(x,u,K(z,u \ y)). [para(10(a,1),3882(a,1,2))]. 3886 L(K(x,y),z,u) \ 1 = L(K(y,x),z,u). [hyper(2512,a,3873,a)]. 3887 (x * (y * K(z,u))) \ (x * y) = L(K(u,z),y,x). [hyper(675,a,3873,a)]. 3888 K(x,L(y,z / y,u)) = L(K(x,y),z,u). [hyper(3212,a,3886,a)]. 3889 K(x,L(y \ 1,z,u) \ 1) = L(K(x,y),z,u). [hyper(2738,a,3886,a)]. 3890 L(K(x,y),z,u) * (L(K(y,x),z,u) * w) = w. [hyper(120,a,3886,a(flip),b,3314,a)]. 3891 L(K(x,y \ z),z,u) = K(x,L(y \ z,y,u)). [para(75(a,1),3888(a,1,2,2)),flip(a)]. 3892 K(x,(y * (z / u)) \ (y * z)) = L(K(x,u),z,y). [para(97(a,1),3888(a,1,2))]. 3893 K(x,(y * ((y \ z) / u)) \ z) = L(K(x,u),y \ z,y). [para(645(a,1),3888(a,1,2))]. 3894 x * ((y / x) * L(x,x,z)) = L(x,x,z) * y. [para(12(a,1),3878(a,1,2)),flip(a)]. 3895 K(x,(x / L(y,z,u)) * y) = a(u,z,K(x / L(y,z,u),y)). [para(12(a,1),3879(a,1,1))]. 3896 x * K(y,L(z,u,w)) != K(y,z) | a(w,u,K(y,z)) = x. [para(3880(a,1),357(a,1)),flip(a),flip(b)]. 3898 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(3203(a,1),3883(a,1,1))]. 3899 x * a(y,z,K(u,w \ z)) = x * a(y,w,K(u,w \ z)). [hyper(121,a,3885,a,b,9,a)]. 3900 L(K(x,1 / y),z,u) = K(x,L(y,z,u) \ 1). [para(78(a,1),3889(a,1,2,1,1)),flip(a)]. 3901 a(x,y,K(z,u)) * (L(K(z,u),y,x) * w) = K(z,u) * w. [para(3890(a,1),3550(a,1,2)),flip(a)]. 3902 L(K(x,y \ (z \ u)),z \ u,z) = K(x,(z * y) \ u). [para(293(a,1),3891(a,2,2))]. 3903 ((x * y) / x) * L(x,x,z) = L(x,x,z) * y. [hyper(35,a,1593,a(flip),b,3894,a),flip(a)]. 3905 K(x,L(y \ z,u,w) \ 1) = L(K(x,z \ y),u,w). [para(2866(a,1),3900(a,1,1)),flip(a)]. 3906 T(x,y \ 1) * L(y,y,z) = L(y,y,z) * x. [para(2051(a,2),3903(a,1,1))]. 3907 x * (y * K(x * y,z)) != u | T(x * y,L(z,y,x)) = u. [para(3832(a,1),1894(a,1))]. 3908 (x * y) \ ((x * K(z,u)) * y) = K(z,L(u,x,y)). [hyper(118,a,3833,a(flip),b,244,a(flip))]. 3910 (x * K(x * y,z)) * y != u | T(x * y,L(z,x,y)) = u. [para(3833(a,1),1895(a,1))]. 3911 T(K(x,L(y,z,u)) * (z * u),(z * u) \ 1) = (z * K(x,y)) * u. [hyper(2115,a,3838,a)]. 3912 K(x,L(y \ (z * u),y,K(w,L(v5,z,u))) \ 1) = K(x,((K(w,v5) * z) * u) \ (K(w,L(v5,z,u)) * y)). [para(3839(a,1),2870(a,2,2,1))]. 3913 K(x \ (y \ z),L(u,x,y)) = K(u,z \ (y * x)). [hyper(306,a,2843,a(flip),b,3860,a),flip(a)]. 3914 L(K(x,y),z,u) != w | K(x,L(y,z,u)) = w. [para(2736(a,1),3861(a,1))]. 3917 K(L(x,y,z),u) != w | K(x,L(u,y,z)) = w. [para(3857(a,1),3914(a,1))]. 3918 K(x,L(y * K(z,u),w,v5)) != v6 | K(x,L(y,w,v5)) = v6. [para(3835(a,2),3914(a,1))]. 3919 K(x,(y * (z * u)) \ (y * z)) != w | K(u,L(x,z,y)) = w. [para(2844(a,2),3917(a,1))]. 3920 K(x,L(y,z * x,u)) != w | K(x,L(y,z,u)) = w. [para(3823(a,2),3917(a,1))]. 3921 K(x,L(L(y,y,z),u,w)) != v5 | K(x,L(y,u,w)) = v5. [para(3855(a,2),3917(a,1))]. 3922 (x * (y * K(z,u))) \ (x * y) = K(u,L(z,y,x)). [hyper(306,a,3821,a(flip),b,3887,a),flip(a)]. 3923 K(x,(y * (z / u)) \ (y * z)) = K(x,L(u,z,y)). [hyper(306,a,3821,a(flip),b,3892,a),flip(a)]. 3924 K(x \ y,L(z,x,u)) = K(z,(u * y) \ (u * x)). [para(9(a,1),3913(a,1,1,2))]. 3925 K(x * K(y,z),L(u,T(y,z) * x,w)) != v5 | K(x * K(y,z),L(u,y,w)) = v5. [para(2822(a,1),3920(a,1,2,2))]. 3926 L(x * (y * K(z,u)),K(u,L(z,y,x)),K(w,v5)) \ ((x * y) * K(w,v5)) = ((x * (y * K(z,u))) \ (x * y)) * K(w,v5). [para(3922(a,1),1646(a,1,1,2))]. 3927 K(x,(y * (z / u)) \ (y * z)) = x \ T(x,L(u,z,y)). [hyper(306,a,1935,a,b,3923,a),flip(a)]. 3928 K(x \ y,L(z,x,y \ u)) = K(z,u \ ((y \ u) * x)). [hyper(306,a,2980,a(flip),b,3924,a),flip(a)]. 3929 K(x,y \ (K(x,z) * u)) = K(x,y \ u). [hyper(64,a,3283,a(flip),b,3842,a),flip(a)]. 3931 K(x,y \ (z * (u * x))) = K(x,y \ (z * (x * u))). [para(2792(a,1),3929(a,1,2,2)),flip(a)]. 3932 L(x,x,y) * (z * K(x,u)) = L(T(x,u),x,y) * z. [para(25(a,2),3865(a,2,1))]. 3933 K((x * K(y,z)) \ u,y) = K(x \ u,y). [hyper(306,a,1854,a(flip),b,3866,a),flip(a)]. 3935 K((K(x,y) * z) \ u,y) = K(z \ u,y). [para(2906(a,1),3933(a,1,1,1)),flip(a)]. 3936 K(x \ (K(y,z) * u),y) = K(x \ u,y). [hyper(64,a,3424,a(flip),b,3935,a)]. 3938 K(x \ (y * (z * u)),u) = K(x \ (y * (u * z)),u). [para(2792(a,1),3936(a,1,1,2)),flip(a)]. 3939 T(x * K(y,x),L(y,z,u)) = x * a(u,z,K(y,x)). [hyper(64,a,3092,a,b,3876,a)]. 3940 a(x,y \ z,K(u,y)) = a(x,z,K(u,y)). [hyper(64,a,3840,a(flip),b,3884,a),flip(a)]. 3941 K(x,x \ (y * (x * z))) = K(x,y * z). [hyper(64,a,2443,a(flip),b,3931,a),flip(a)]. 3942 K(x,y * (x * z)) = K(x,y * z). [hyper(1838,a,3941,a)]. 3943 L(T(x,y \ x),x,z) * u = L(x,x,z) * (u * K(y,x)). [para(1909(a,1),3932(a,1,2,2)),flip(a)]. 3944 K(x \ (y * (x * z)),x) = K(y * z,x). [hyper(64,a,3061,a(flip),b,3938,a),flip(a)]. 3945 K(x * (y \ (x \ z)),y) = K(y \ z,y). [para(72(a,1),3944(a,1,1,2)),flip(a)]. 3946 (x \ (y * z)) * K(y \ (y * z),y) = x \ (z * y). [para(3945(a,1),3492(a,1,2))]. 3947 T(x * a(y,z,K(u,x)),u) = T(x,L(u,z,y)). [para(3939(a,1),1735(a,1,1))]. 3948 (x \ (y * z)) * K(z,y) = x \ (z * y). [para(9(a,1),3946(a,1,2,1))]. 3950 ((x * y) / z) \ (y * x) = z * K(y,x). [hyper(716,a,3948,a),flip(a)]. 3953 a(x,y \ z,K(u,y)) != w | a(x,z,K(u,y)) = w. [para(3884(a,1),3874(a,1))]. 3954 L(K(x,K(y,z) * (u \ w)),u \ w,u) = K(x,(u * K(z,y)) \ w). [para(2910(a,1),3893(a,1,2,1,2)),flip(a)]. 3955 L(K(x,y \ (z \ u)),z \ u,z) = K(x,T(y * z,w) \ u). [hyper(306,a,3050,a,b,3902,a),flip(a)]. 3957 a(x,x \ y,K(z \ (x \ y),u)) = K(u,(x * z) \ y) * K(z \ (x \ y),u). [para(3902(a,1),3545(a,1,1)),flip(a)]. 3958 K(x,L(y \ T(z,u),w,v5)) != v6 | K(x,L(y \ z,w,v5)) = v6. [para(2169(a,1),3918(a,1,2,1))]. 3959 K(x,L(T(y,z) \ u,w,v5)) != v6 | K(x,L(y \ u,w,v5)) = v6. [para(2948(a,1),3918(a,1,2,1))]. 3960 T(x,(y * (z / u)) \ (y * z)) = T(x,L(u,z,y)). [hyper(1906,a,3927,a)]. 3961 T(x,L(y,z / y,u)) = T(x,L(y,z,u)). [para(97(a,2),3960(a,1,2))]. 3962 K(x \ y,L(z,x,a(y,u,u \ 1))) = K(z,L(y,u,u \ 1) \ ((y \ L(y,u,u \ 1)) * x)). [para(2137(a,1),3928(a,1,2,3))]. 3963 x * a(y,z \ 1,K(u,(z \ 1) \ w)) = x * a(y,w,K(u,w * z)). [para(3484(a,1),3899(a,1,2,3)),flip(a)]. 3964 L(K(x,y),z,u) * (K(y,x) * w) = a(u,z,K(x,y)) \ w. [hyper(118,a,2914,a(flip),b,3901,a),flip(a)]. 3965 T(x * y,L(z,y,x)) = T(x * y,z). [hyper(3907,a,3457,a)]. 3966 L(x,y,z) * T(z * y,x) = z * (y * x). [hyper(121,a,3965,a(flip),b,592,a)]. 3967 T(x * (x \ y),(x \ y) \ z) = T(x * (x \ y),y \ (x * z)). [para(605(a,1),3965(a,1,2)),flip(a)]. 3968 L(x,y,z) * (x \ (z * y)) = (z * (y * x)) / x. [hyper(119,a,3966,a(flip),b,1191,a),flip(a)]. 3969 (x * y) \ (z * (L(z,y,x) \ (x * y))) = ((x * (y * z)) / z) \ (x * y). [para(3968(a,1),518(a,1,1)),flip(a)]. 3970 T(x * y,L(z,x,y)) = T(x * y,z). [hyper(3910,a,3453,a)]. 3971 R(x,y,z) * T(y * z,x) = (y * z) * R(x,y,z). [para(3970(a,1),3351(a,1,2))]. 3972 ((x * y) * z) * K(y * z,x) = (y * z) * R(x,y,z). [hyper(3339,a,3971,a)]. 3973 ((x * y) * z) * a(z,x,y) = (x * y) * R(z,x,y). [hyper(64,a,3341,a,b,3971,a)]. 3974 a(x,y,z) = ((y * z) * x) \ ((y * z) * R(x,y,z)). [hyper(118,a,3971,a(flip),b,3341,a),flip(a)]. 3976 K(x,y) * R(K(y,x),z,u) = a(K(y,x),z,u). [hyper(3505,a,3973,a)]. 3977 a(x * K(y * z,x),y,z) = a(x,y,z). [hyper(2649,a,3973,a)]. 3978 T((x * y) * z,x) = (y * z) * R(x,y,z). [hyper(64,a,3344,a(flip),b,3973,a)]. 3979 x \ ((y * z) * R((y * z) \ x,y,z)) = a((y * z) \ x,y,z). [hyper(118,a,3973,a(flip),b,151,a(flip))]. 3981 a(x / (y * z),y,z) = a((y * z) \ x,y,z). [para(1733(a,1),3977(a,1,1))]. 3982 T((x * y) * (y \ z),x) = z * R(x,y,y \ z). [hyper(306,a,151,a(flip),b,3978,a),flip(a)]. 3983 K(x,y) * K(y,R(x,z,u)) = a(K(y,x),z * x,u). [para(3516(a,1),3976(a,1,2))]. 3984 K(x \ 1,y) * K(y,R(x,z,u) \ 1) = a(K(y,x \ 1),z,u). [para(3707(a,1),3976(a,1,2))]. 3985 K(x,y) * K(y,R(x,z,u)) = a(K(y,x),z,u). [para(3845(a,1),3976(a,1,2))]. 3986 a((x * y) \ (z * (x * y)),x,y) = a(z,x,y). [para(11(a,1),3981(a,1,1)),flip(a)]. 3987 a(R(x / y,y,z),y,z) = a((y * z) \ (x * z),y,z). [para(103(a,2),3981(a,1,1))]. 3988 a((x * y) \ ((x * y) / z),x,y) = a((x * y) \ (z \ (x * y)),x,y). [para(834(a,1),3981(a,1,1))]. 3990 K(a(K(x,y),z,u),w) = 1. [para(3985(a,1),1734(a,1,1))]. 3993 T((x * y) * (y \ z),x) = z * (u * (u \ R(x,y,y \ z))). [hyper(306,a,152,a,b,3982,a),flip(a)]. 3994 a(K(x,y),z * y,u) = a(K(x,y),z,u). [hyper(64,a,3985,a(flip),b,3983,a),flip(a)]. 3995 K(x * y,L(z,x,y)) = K(x * y,z). [hyper(3388,a,3972,a)]. 3996 K(x,L(y,z,z \ x)) = K(z * (z \ x),y). [para(10(a,1),3995(a,1,1))]. 3997 K(x,L(y,z,z \ x)) = K(x,y). [para(10(a,1),3996(a,2,1))]. 3998 a((x * y) \ ((x * z) * y),x,y) = a(R(T(z,x \ 1),x,y),x,y). [para(2051(a,2),3987(a,1,1,1)),flip(a)]. 3999 a(x,y,K(z,u)) \ w = a(x,y,K(u,z)) * w. [hyper(64,a,3568,a(flip),b,3964,a),flip(a)]. 4000 x / (a(y,z,K(u,w)) * x) = a(y,z,K(w,u)). [hyper(196,a,3568,a(flip),b,3964,a(flip))]. 4001 a(x,y,K(z,u)) \ w = w * a(x,y,K(u,z)). [hyper(306,a,3539,a(flip),b,3999,a),flip(a)]. 4004 (x * a(y,z,K(u,w))) \ x = a(y,z,K(w,u)). [hyper(820,a,4000,a)]. 4006 a(x,y,K(z * u,z)) \ w = w * a(x,y,K(z,u)). [para(1811(a,1),4001(a,2,2,3))]. 4007 (T(x,x \ y) * a(z,u,K(w,v5))) \ ((x \ y) \ y) = a(z,u,K(v5,w)). [hyper(64,a,304,a(flip),b,4004,a)]. 4008 a(x,y,K(z * u,z)) = a(x,y,K(u,z)). [hyper(40,a,4001,a,b,4006,a),flip(a)]. 4009 a(x,y,K(z,z * u)) = a(x,y,K(z,u)). [hyper(39,a,3999,a,b,4006,a),flip(a)]. 4010 a(x,y,K(z \ u,z)) = a(x,y,K(u,z)). [para(10(a,1),4008(a,1,3,1)),flip(a)]. 4011 a(x,y,K(z \ 1,u)) = a(x,y,K(z \ u,u)). [para(2148(a,1),4008(a,1,3)),flip(a)]. 4012 a(x,y,K(z,z \ u)) = a(x,y,K(z,u)). [para(10(a,1),4009(a,1,3,2)),flip(a)]. 4013 a(x,y,K(z,u \ z)) = a(x,y,K(u,z)). [para(2843(a,1),4010(a,1,3))]. 4014 a(x,y,K(z \ u,u)) = a(x,y,K(u,z)). [para(2843(a,2),4012(a,1,3))]. 4015 a(x,y,K(z \ 1,u)) = a(x,y,K(u,z)). [hyper(306,a,4014,a(flip),b,4011,a),flip(a)]. 4016 a(x,y,K(z \ u,w)) = a(x,y,K(w,u \ z)). [para(2840(a,1),4015(a,1,3))]. 4017 K(x,y * (L(y,z,u) \ x)) = a(u,z,K(x / L(y,z,u),y)). [hyper(2150,a,3895,a)]. 4018 L(K(x,y \ (z \ u)),z \ u,z) != w | K(x,(z * y) \ u) = w. [para(3955(a,2),3125(a,1))]. 4019 (x * y) * a(y,z,z \ x) = x * (u * (u \ R(y,z,z \ x))). [hyper(64,a,3345,a,b,3993,a)]. 4020 K(x,y * (L(y,z,u) \ x)) = a(u,z,K(y \ x,y)). [para(3060(a,1),4017(a,2,3))]. 4021 K(x,y * (L(y,z,u) \ x)) = a(u,z,K(x,y)). [hyper(306,a,4010,a(flip),b,4020,a),flip(a)]. 4023 K(x,x * (L(y,z,u) \ y)) = a(u,z,K(x,y)). [hyper(64,a,3256,a(flip),b,4021,a)]. 4024 K(x,L(y,z,u) \ y) = a(u,z,K(x,y)). [hyper(2026,a,4023,a)]. 4025 K(x * (L(y,z,u) \ y),x) = w / (a(u,z,K(x,y)) * w). [para(4023(a,1),2910(a,1,2,1)),flip(a)]. 4026 K(x * (L(y,z,u) \ y),x) = a(u,z,K(y,x)). [hyper(306,a,4000,a(flip),b,4025,a),flip(a)]. 4027 a(x,y,K(L(z,u,w) \ z,v5)) = a(x,y,a(w,u,K(z,v5))). [para(4026(a,1),4008(a,1,3)),flip(a)]. 4028 (x * (y * K(z,u))) \ (x * (y * T(z,u))) = L(z,y,x). [para(3832(a,1),3863(a,1,1))]. 4029 L(x,y * K(x,z),u) = L(x,y,u). [hyper(2862,a,4028,a)]. 4030 L(T(x,y),T(x,z),u) = L(T(x,y),x,u). [para(1947(a,1),4029(a,1,2))]. 4031 L(T(T(x,y),y \ 1),T(x,y),z) = L(x,T(T(x,y),u),z). [para(2053(a,1),4030(a,1,1)),flip(a)]. 4032 L(T(T(x,y),y \ 1),T(x,y),z) = L(x,x,z). [para(866(a,1),4031(a,2,2))]. 4033 L(T(T(x,y),y \ 1),T(x,y),z) = L(x,x,T(x,y) * z). [hyper(64,a,2477,a(flip),b,4032,a)]. 4034 L(x,x,T(x,y) * z) = L(x,x,z). [hyper(64,a,4032,a(flip),b,4033,a),flip(a)]. 4036 L(x,x,y * x) = L(x,x,y). [para(2054(a,1),4034(a,1,3))]. 4037 ((x * y) * y) * L(y,y,x) = (x * y) * (y * y). [hyper(121,a,4036,a(flip),b,18,a(flip))]. 4038 (x * (y * y)) * y = (x * y) * (y * y). [hyper(2471,a,4037,a)]. 4039 ((x / y) * (y * y)) * y != z | x * (y * y) = z. [para(4038(a,2),309(a,1))]. 4040 T(T((x * x) * y,x),x) = y * (x * x). [hyper(4039,a,2383,a(flip)),flip(a)]. 4041 K(x,(x * x) * y) * K(x,(x * x) * y) = (y * (x * x)) \ ((x * x) * y). [para(4040(a,1),3098(a,1,1)),flip(a)]. 4042 T(x * (x \ y),(x \ y) \ z) = T(y,y \ (x * z)). [para(10(a,1),3967(a,2,1))]. 4043 T(x * (x \ y),(x \ y) \ z) = T(y,x * z). [hyper(306,a,404,a(flip),b,4042,a),flip(a)]. 4044 T(x,(y \ x) \ z) = T(x,y * z). [para(10(a,1),4043(a,1,1))]. 4045 T(x,(y \ x) \ (z \ u)) = T(x,y * ((u \ z) \ 1)). [hyper(64,a,3433,a(flip),b,4044,a)]. 4046 T(x,(x / y) * z) = T(x,y \ z). [para(78(a,1),4044(a,1,2,1)),flip(a)]. 4047 T(x,y * (z \ x)) = T(x,z \ y). [hyper(64,a,2734,a(flip),b,4046,a)]. 4048 (((x * y) / L(z,y,x)) * z) / T(x * y,L(z,y,x) \ z) = ((x * (y * z)) / z) \ (x * y). [para(4046(a,1),2599(a,1,2))]. 4049 T(x,(y \ x) * z) = T(x,y \ z). [hyper(1529,a,4047,a)]. 4050 T(x,y \ (T(z,u) * w)) = T(x,(y \ x) * (z * w)). [hyper(64,a,2732,a(flip),b,4049,a),flip(a)]. 4051 T(x,(y \ x) \ (z \ u)) = T(x,(u \ z) \ y). [hyper(306,a,3466,a(flip),b,4045,a),flip(a)]. 4052 T(x,(y \ z) \ u) = T(x,u * (z \ y)). [hyper(64,a,4044,a(flip),b,4051,a),flip(a)]. 4053 T(x,y \ (y \ (z * u))) = T(x,(y \ u) * (y \ z)). [hyper(3501,a,4052,a)]. 4054 T(x,(y / z) \ u) = T(x,u * (y \ z)). [hyper(3107,a,4052,a)]. 4055 T(x,(y * (z \ u)) * (u \ z)) = T(x,y). [hyper(1521,a,4052,a),flip(a)]. 4056 T(x * K(y,z \ u),y * (u \ z)) = (z \ u) * T(x / (z \ u),y). [hyper(64,a,3194,a(flip),b,4052,a),flip(a)]. 4057 T(x,(y \ z) * ((z \ y) * u)) = T(x,u). [para(3063(a,1),4055(a,1,2))]. 4058 T(x,(y \ z) * (((z \ y) * L((z \ y) \ 1,u,w)) * v5)) = T(x,v5 * L(v5 \ ((z \ y) \ v5),u,w)). [para(2478(a,1),4057(a,1,2,2))]. 4059 T(x,y \ (T(z,u) * w)) = T(x,y \ (z * w)). [hyper(306,a,4049,a(flip),b,4050,a),flip(a)]. 4060 T(x,y \ ((z / u) * w)) = T(x,y \ ((u \ z) * w)). [para(108(a,1),4059(a,1,2,2,1)),flip(a)]. 4061 T(x,(y \ 1) \ ((y \ 1) \ ((z \ 1) * u))) = T(x,((y \ 1) \ u) * ((z / y) \ 1)). [para(584(a,1),4053(a,2,2,2))]. 4062 T(x \ y,T(z,u)) = T(x \ y,y \ ((x \ y) * (z * x))). [hyper(3320,a,4060,a)]. 4063 x \ T(x,y \ ((z \ u) * w)) = K(x,y \ ((u / z) * w)). [hyper(118,a,4060,a(flip),b,1892,a(flip))]. 4064 T(x \ y,T(z,u)) = T(x \ y,y \ (z * x)). [hyper(306,a,3246,a(flip),b,4062,a),flip(a)]. 4065 T(x \ y,y \ (z * x)) = T(x \ y,z). [hyper(1517,a,4064,a),flip(a)]. 4066 K(x,y \ ((z / u) * w)) = K(x,y \ ((u \ z) * w)). [hyper(1913,a,4063,a),flip(a)]. 4067 K(x,y \ ((z / u) * w)) != v5 | K(x,y \ ((u \ z) * w)) = v5. [para(4063(a,1),1913(a,1))]. 4068 K(x,y \ ((z \ y) * (u * z))) = K(x,L(u,z,y / z)). [hyper(1981,a,4066,a),flip(a)]. 4069 K(x,y \ ((z \ y) * (u * z))) = K(x,L(u,z,z \ y)). [para(3139(a,1),4068(a,2,2))]. 4070 x \ (((x / (y * z)) * y) * z) = a((y * z) \ x,y,z). [para(1184(a,1),3979(a,1,2))]. 4071 (((x / y) * (y * z)) / z) \ ((x / y) * y) = a((y * z) \ x,y,z). [hyper(64,a,3717,a,b,4070,a)]. 4072 K(x \ 1,y) * K(y,R(x,z,u) \ 1) = a(K(x,y),z,u). [hyper(306,a,3682,a(flip),b,3984,a),flip(a)]. 4073 L(K(x,K(y,z) * (u \ w)),u \ w,u) != v5 | K(x,(u * K(v6,v7)) \ w) = v5. [para(2001(a,1),4018(a,1,1))]. 4074 K(x,L(y \ (z \ u),z \ u,z)) != w | K(x,(z * y) \ u) = w. [para(3821(a,1),4018(a,1))]. 4075 L(x \ R(x,y,y \ z),x,z) = a(x,y,y \ z). [hyper(595,a,4019,a)]. 4076 L(R(x,y,z) \ R(R(x,y,z),x \ 1,(x \ 1) \ u),R(x,y,z),u) = a(x \ 1,R(x,y,z),(x \ 1) \ u). [hyper(3693,a,4075,a(flip)),flip(a)]. 4077 L(T(x \ R(x,y,y \ z),u),x,z) = T(a(x,y,y \ z),u). [para(4075(a,1),25(a,2,1))]. 4078 (x * (y * (y \ R(y,z,z \ x)))) / (x * y) = T(a(y,z,z \ x),x \ (y \ 1)). [hyper(64,a,3438,a(flip),b,4077,a)]. 4079 T(a(x,y,y \ (y * z)),u) = L(T(x \ R(x,y,z),u),x,y * z). [para(9(a,1),4077(a,1,1,1,2,3)),flip(a)]. 4082 T((x * K(y,z)) * u,(x * u) \ 1) = (x * K(y,z)) * u. [para(3833(a,1),3911(a,1,1))]. 4083 T((x * K(y,z)) * u,x \ (u \ 1)) = (x * K(y,z)) * u. [hyper(3442,a,4082,a)]. 4084 x * a(y,z \ 1,K(u,w * z)) = x * a(y,w,K(u,w * z)). [para(3484(a,1),3963(a,1,2,3))]. 4085 T(x * K(y,z),y * (z \ y)) = (y \ z) * T(x / (y \ z),y). [para(1801(a,1),4056(a,1,1,2))]. 4086 x * T(y * K(z,z / x),z * ((z / x) \ z)) = T(y * x,z). [para(4085(a,2),3793(a,1,2))]. 4087 x * T(y * K(z,x \ z),z * ((z / x) \ z)) = T(y * x,z). [para(1783(a,1),4086(a,1,2,1,2))]. 4088 x * T(y * K(x,z),z * ((z / x) \ z)) = T(y * x,z). [para(1909(a,1),4087(a,1,2,1,2))]. 4089 x * T(y * K(x,z),z * x) = T(y * x,z). [para(78(a,1),4088(a,1,2,2,2))]. 4090 T(x,y) * T(z,y * x) = T(z * x,y). [hyper(3096,a,4089,a)]. 4091 T(x,y) * T(z,y * x) = y \ ((z * x) * y). [hyper(306,a,22,a(flip),b,4090,a),flip(a)]. 4092 T(x,y) * T(z,x * y) = T(z * x,y). [para(1479(a,1),4090(a,1,2))]. 4093 T(x,y * z) * T(y,z) = T(T(x,y) * y,z). [hyper(1507,a,4092,a)]. 4094 L(x,y,z) * (y * z) = (x * y) * z. [hyper(3273,a,4091,a(flip))]. 4095 L(x,y,y \ z) * z = (x * y) * (y \ z). [hyper(314,a,4094,a)]. 4097 R(x,y,z) = L(x,y,z). [hyper(36,a,102,a,b,4094,a)]. 4098 L(x,y,z) = R(x,y,z). [hyper(36,a,4094,a,b,102,a)]. 4099 (x * y) * z != u * (y * z) | L(x,y,z) = u. [para(4094(a,1),45(a,1))]. 4100 a(x,T(y,x),T(z,y * x)) = ((z * y) * x) \ (z * (y * x)). [para(4094(a,1),3136(a,1,1)),flip(a)]. 4101 T(T(x,y),y) = T(x,y * y). [hyper(1439,a,4097,a)]. 4103 R(x,y,L(y \ 1,y,z)) = L(x,y,z \ (z / y)). [hyper(64,a,3367,a,b,4097,a)]. 4104 L(x,y \ 1,z \ 1) = L(x \ 1,y,z) \ 1. [hyper(64,a,2574,a(flip),b,4097,a),flip(a)]. 4105 L(x \ 1,y \ 1,z \ 1) = L(x,y,z) \ 1. [hyper(64,a,2573,a(flip),b,4097,a),flip(a)]. 4106 L(x,y,z) * (z * y) = (x * y) * T(z,y). [hyper(120,a,4097,a(flip),b,3366,a(flip))]. 4107 L(x,y \ L(y,z,u),y) / y = L(y,z,u) / (y * (x \ L(y,z,u))). [hyper(119,a,4097,a(flip),b,2516,a)]. 4109 x * L(x \ y,z,z \ x) = ((y / x) * z) * (z \ x). [para(4097(a,1),1185(a,1,2))]. 4110 (x / (L(y / x,z,u) \ y)) * y = x * R(x \ y,z,u). [para(4097(a,1),2645(a,1,1,2,1))]. 4111 L(x / (x * y),z,u) \ (x / y) = x / (y * R(y \ 1,z,u)). [para(4097(a,1),2682(a,1,1))]. 4112 T(x,L(y,z \ 1,u \ 1) \ w) = T(x,w * L(y \ 1,z,u)). [para(4097(a,1),3476(a,2,2,2))]. 4113 T(x,y) / (L(x \ K(y,x),z,u) \ 1) = T(x * R(x \ 1,z,u),y). [para(4097(a,1),3748(a,1,2,1))]. 4114 L(R(x,x * L(x \ 1,y,z),x \ u),y \ 1,z \ 1) \ u = L(R(x \ 1,y,z),x,u) * u. [para(4097(a,1),3814(a,1,1,1,2,2))]. 4115 (x * T(x,y * y)) / ((x / y) \ T(x,y)) = ((x / y) \ 1) \ x. [para(4101(a,1),3039(a,1,1,2))]. 4116 x * (y * T(z,x * y)) = (z * y) * T(x,y). [hyper(1154,a,4106,a)]. 4117 T(x,y * z) * T(y,z) = T(T(x * y,y),z). [para(819(a,2),4093(a,2,1))]. 4119 T(x,L(y,z \ 1,u \ 1) \ w) != v5 | T(x,w * L(y \ 1,z,u)) = v5. [para(4104(a,2),3480(a,1,2,1))]. 4121 ((x \ (y \ z)) * x) * T(y,x) = T(z,y * x). [hyper(3277,a,4116,a),flip(a)]. 4122 T(x \ y,z) * T(x,z) = T(y,x * z). [para(793(a,2),4121(a,1,1))]. 4123 T((x \ y) \ z,(y \ x) * u) * T(x \ y,(y \ x) * u) = T(z,u). [hyper(306,a,4057,a(flip),b,4122,a),flip(a)]. 4124 T(x \ y,x * z) * T(x,z) = T(y,x * (x * z)). [para(414(a,1),4122(a,1,2))]. 4125 T(x \ y,z \ (u \ w)) * T(x,z \ ((w \ u) \ 1)) = T(y,x * (z \ ((w \ u) \ 1))). [para(3433(a,1),4122(a,1,1))]. 4126 T((x \ y) \ z,y \ (u * x)) * T(x \ y,u) = T(z,(x \ y) * (y \ (u * x))). [para(4065(a,1),4122(a,1,2))]. 4127 ((x * y) * L(y \ 1,y,z)) / (y * L(y \ 1,y,z)) = L(x,y,z \ (z / y)). [hyper(64,a,20,a(flip),b,4103,a)]. 4128 T(T((x \ y) * x,x),z) = T(y,x * (x * z)). [hyper(64,a,4117,a(flip),b,4124,a)]. 4129 T(T(T(x,y),y),z) = T(x,y * (y * z)). [para(793(a,2),4128(a,1,1,1))]. 4130 T(T(x,y * y),z) = T(x,y * (y * z)). [para(4101(a,1),4129(a,1,1))]. 4131 T(T(T(x,y * y),z),u) = T(T(x,z),y * (y * u)). [hyper(727,a,4130,a)]. 4132 T(T(x,((y * z) * y) * L(z,y,y * z)),u) = T(x,(y * z) * ((y * z) * u)). [para(93(a,2),4130(a,1,1,2))]. 4133 T(T(x,y * (y * z)),u) = T(T(x,z),y * (y * u)). [para(4130(a,1),4131(a,1,1))]. 4134 ((x / y) * z) * (z \ y) = (y / z) * (z * (y \ x)). [hyper(3146,a,4109,a),flip(a)]. 4135 ((x / R(y,z,u)) * y) * (y \ R(y,z,u)) = (y \ R(y,z,u)) * (y * (R(y,z,u) \ x)). [para(417(a,1),4134(a,2,1))]. 4136 (x / (L(y / x,z,u) \ y)) * y = x * L(x \ y,z,u). [para(4097(a,1),4110(a,2,2))]. 4137 (x * L(x \ y,z,u)) / y = x / (L(y / x,z,u) \ y). [hyper(132,a,4136,a)]. 4138 (x / y) * L((x / y) \ 1,z,u) = x / (L(y / x,z,u) \ y). [hyper(64,a,2523,a,b,4137,a)]. 4139 a(x,T(y,x),T(z,y * x)) = (z * y) \ ((z * (y * x)) / x). [hyper(306,a,3622,a(flip),b,4100,a),flip(a)]. 4140 a(x,T(y,x),T(z,x * y)) = (z * y) \ ((z * (y * x)) / x). [para(1479(a,1),4139(a,1,3))]. 4141 L(x / (x * y),z,u) \ (x / y) = x / (y * L(y \ 1,z,u)). [para(4097(a,1),4111(a,2,2,2))]. 4142 T(x,y) / (L(x \ K(y,x),z,u) \ 1) = T(x * L(x \ 1,z,u),y). [para(4097(a,1),4113(a,2,1,2))]. 4143 T((x \ y) \ z,u * (y \ x)) * T(x \ y,(y \ x) * u) = T(z,u). [para(1479(a,1),4123(a,1,1))]. 4144 (x / y) / (L((y \ x) \ K(x \ 1,y \ x),z,u) \ 1) = T((y \ x) * L((y \ x) \ 1,z,u),x \ 1). [para(2067(a,1),4142(a,1,1))]. 4145 T((x \ y) \ z,u * (y \ x)) * T(x \ y,u) = T(z,u). [para(3179(a,1),4143(a,1,2))]. 4146 T((T(T(x,y),z) / u) \ w,v5 * (T(T(T(x,u \ 1),y),z) \ u)) * T(u \ T(T(T(x,u \ 1),y),z),v5) = T(w,v5). [para(2057(a,1),4145(a,1,1,1,1))]. 4147 T(((x * y) \ ((x * K(z,u)) * y)) \ 1,((x * K(z,u)) * y) \ 1) = K(u,L(z,x \ 1,y \ 1)). [hyper(64,a,570,a,b,3829,a)]. 4148 K(x,y \ (z * (T(u,z) * K(w,v5)))) = K(x,y \ ((K(w,v5) * u) * z)). [para(3831(a,1),3846(a,1,2,2))]. 4149 K(x,(x * x) * y) * K(x,(x * x) * y) = K(x * x,y). [hyper(306,a,16,a,b,4041,a),flip(a)]. 4150 K(x,y) * K(x,(x * x) * y) = K(x * x,y). [para(2445(a,1),4149(a,1,1))]. 4151 K(x,y) * K(x,y) = K(x * x,y). [para(2445(a,1),4150(a,1,2))]. 4152 K(x,y) * K(x,y) != z | K(x * x,y) = z. [para(4151(a,2),1845(a,1))]. 4153 K(x,y) \ (K(x,y) \ K(K(x,y),z)) = K(x * x,y) \ K(K(x,y),z). [para(4151(a,1),3275(a,1,1)),flip(a)]. 4154 K(x,y) \ (K(x,y) \ K(K(x,y),z)) = K(x * x,y) \ 1. [para(34(a,1),4153(a,2,2))]. 4155 K(x,y) \ (K(x,y) \ K(K(x,y),z)) = K(y,x * x). [hyper(2351,a,4154,a,b,2810,a)]. 4157 K(x,y) \ (K(x,y) \ 1) = K(y,x * x). [para(34(a,1),4155(a,1,2,2))]. 4159 K(x,y) \ K(y,x) = K(y,x * x). [para(2177(a,1),4157(a,1,2))]. 4160 K(x,y) * K(x,y) = K(x,y * y). [hyper(2935,a,4159,a)]. 4161 K(x * x,y) = K(x,y * y). [hyper(4152,a,4160,a)]. 4162 (x * x) * K(x,y * y) = T(x * x,y). [hyper(121,a,4161,a(flip),b,1935,a)]. 4163 x * T(x,y * y) = T(x * x,y). [hyper(2859,a,4162,a)]. 4164 T(x * x,y) / ((x / y) \ T(x,y)) = ((x / y) \ 1) \ x. [para(4163(a,1),4115(a,1,1))]. 4165 T(x * x,y) / (x * (y / x)) = ((x / y) \ 1) \ x. [para(976(a,1),4164(a,1,2))]. 4166 (x * (y / x)) \ (x * x) = ((x / y) \ 1) \ x. [hyper(1514,a,4165,a)]. 4167 (x * (T(y,x) / x)) \ (x * x) = ((y \ x) \ 1) \ x. [para(406(a,1),4166(a,2,1,1))]. 4168 ((x \ y) \ 1) \ y = x \ (y * y). [para(814(a,1),4167(a,1,1)),flip(a)]. 4169 ((x \ (x / y)) \ 1) \ x = (x * y) \ (x * x). [para(320(a,1),4168(a,1,1,1))]. 4170 (x \ (y / x)) \ ((x \ y) * (x \ y)) = (x \ 1) \ (x \ y). [para(838(a,1),4168(a,1,1,1)),flip(a)]. 4171 T(x,y \ (z * z)) != u | T(x,z * (y \ z)) = u. [para(4168(a,1),3480(a,1,2))]. 4172 (((x * y) \ ((x * y) / x)) \ 1) \ (x * y) = L(y,x,x * y). [hyper(306,a,18,a,b,4169,a),flip(a)]. 4173 T(x,(y * y) * (z \ u)) = T(x,y * ((u \ z) \ y)). [hyper(4171,a,4052,a),flip(a)]. 4174 T(x,(y * y) * ((z \ 1) * u)) != w | T(x,y * (((u \ 1) * z) \ y)) = w. [para(3473(a,1),4171(a,1))]. 4175 T(x,(y * y) * (z \ u)) != w | T(x,y * ((u \ z) \ y)) = w. [para(4052(a,1),4171(a,1))]. 4176 L(x,L(y \ 1,y,x),L(y \ 1,y,x)) = (y \ 1) \ (y \ x). [hyper(64,a,3817,a,b,4170,a)]. 4177 L(x,x \ 1,y \ 1) \ (x * y) = L(y,x,x * y). [para(1297(a,1),4172(a,1,1))]. 4178 T(x,L(y / z,(y / z) \ 1,z \ 1) \ ((y / z) * z)) = T(x,L(z,y,(y / z) * z)). [para(4177(a,2),3961(a,1,2))]. 4179 K(x,(y * K(z,u)) \ w) = K(x,(y * K(v5,v6)) \ w). [hyper(4073,a,3954,a)]. 4180 K(x,(y * K(z,u)) \ w) = K(x,y \ w). [hyper(306,a,3282,a(flip),b,4179,a),flip(a)]. 4183 K(x,((y / z) * u) \ w) = K(x,((z \ y) * u) \ w). [para(3080(a,1),4180(a,1,2,1)),flip(a)]. 4184 K(x,(y * (z * K(u,w))) \ v5) = K(x,(y * z) \ v5). [para(3832(a,1),4180(a,1,2,1))]. 4185 K(x,y * ((z \ 1) * ((u \ 1) \ w))) = K(x,((u \ (w \ 1)) * z) \ y). [hyper(64,a,3495,a,b,4183,a)]. 4186 K(x,L(L(y,K(z,u),w),w * K(z,u),v5)) = K(x,(v5 * w) \ (v5 * (w * (K(z,u) * y)))). [para(593(a,1),4184(a,1,2))]. 4187 K(x * K(y,z),L(u,y,w)) = K(x,L(u,T(y,z) * x,w)). [hyper(3925,a,1850,a)]. 4188 K(x * K(y,z),L(u,y,w)) = K(x,L(u,T(y,z),w)). [hyper(306,a,3859,a(flip),b,4187,a),flip(a)]. 4189 K(x,L(y,T(z,u),w)) = K(x,L(y,z,w)). [hyper(1851,a,4188,a),flip(a)]. 4191 T(x,L(y,T(z,u),w)) = x * K(x,L(y,z,w)). [hyper(121,a,4189,a(flip),b,1935,a),flip(a)]. 4192 a(x,T(y,z),K(u,w)) * K(u,L(w,y,x)) = K(u,w). [para(4189(a,1),3881(a,1,2))]. 4193 T(x,L(y,T(z,u),w)) = T(x,L(y,z,w)). [hyper(306,a,1892,a,b,4191,a),flip(a)]. 4195 a(x,T(y,z),K(u,w)) = a(x,y,K(u,w)). [hyper(3896,a,4192,a),flip(a)]. 4196 a(x,x \ y,K(z,(x \ y) \ u)) = K(z,(x * u) \ y) * K(u \ (x \ y),z). [hyper(64,a,4016,a(flip),b,3957,a)]. 4197 (x * (L(x \ 1,x,y) * z)) / (x * L(x \ 1,x,y)) = L(z,x,y \ (y / x)). [para(3797(a,1),4127(a,1,1))]. 4198 T(T(x,(y * (z * y)) * L(z,y,y * z)),u) = T(x,(y * z) * ((y * z) * u)). [para(764(a,1),4132(a,1,1,2,1))]. 4199 T(T(x,(y * (z * y)) * L(z,y,y)),u) = T(x,(y * z) * ((y * z) * u)). [para(3185(a,1),4198(a,1,1,2,2))]. 4200 T(T(x,L(y,z,z) * (z * (y * z))),u) = T(x,(z * y) * ((z * y) * u)). [para(1479(a,1),4199(a,1,1))]. 4201 K(a(x,y,z),u) * a(x * y,z,a(x,y,K(z,u))) = K(L(z,y,x) \ z,u). [para(4027(a,1),3898(a,1,2))]. 4202 K(L(x,y,z) \ x,u) = K(a(z,y,x),u) * 1. [para(3558(a,1),4201(a,1,2)),flip(a)]. 4203 K(L(x,y,z) \ x,u) = K(a(z,y,x),u). [hyper(306,a,8,a(flip),b,4202,a),flip(a)]. 4205 K(x,L(y,z,u) \ y) = w / (K(a(u,z,y),x) * w). [para(4203(a,1),2910(a,1,2,1)),flip(a)]. 4206 K(x,L(y,z,u) \ y) = K(x,a(u,z,y)). [hyper(306,a,2919,a(flip),b,4205,a),flip(a)]. 4207 a(x,y,K(z,u)) = K(z,a(x,y,u)). [hyper(64,a,4024,a(flip),b,4206,a)]. 4208 T(x,L(y,z,u) \ y) = x * K(x,a(u,z,y)). [hyper(121,a,4206,a(flip),b,1935,a),flip(a)]. 4209 K(x,x * a(y,z,u)) = a(y,z,K(x,u)). [hyper(306,a,1811,a,b,4207,a)]. 4210 a(x,y,K(z,u)) \ w = w * K(u,a(x,y,z)). [para(4207(a,1),4001(a,2,2))]. 4212 T(x,L(y,z,u) \ y) = T(x,a(u,z,y)). [hyper(306,a,1892,a,b,4208,a),flip(a)]. 4213 a(x,y,K(z,L(u,w,v5))) = L(K(a(x,y,z),u),w,v5). [hyper(3875,a,4210,a),flip(a)]. 4214 a(x,y,K(z,u)) = K(a(x,y,z),u). [hyper(3043,a,4210,a),flip(a)]. 4215 K(x,((y * z) * u) \ (y * (z * u))) = a(y,z,K(u,x)). [hyper(306,a,2845,a,b,4214,a)]. 4216 a(K(x,y),z,K(u,w)) = 1. [hyper(306,a,3990,a(flip),b,4214,a),flip(a)]. 4217 K(a(x,y,z),x * (y * z)) = 1. [hyper(64,a,3808,a(flip),b,4214,a),flip(a)]. 4218 L(K(x,y),z,K(u,w)) = K(x,y). [hyper(53,a,4216,a)]. 4219 a(x,y,z) * (x * (y * z)) = 1 * ((x * y) * z). [para(4217(a,1),1081(a,1,1)),flip(a)]. 4220 K(x,L(y,z,K(u,w))) = K(x,y). [hyper(3914,a,4218,a)]. 4221 K(L(x,y,K(z,u)),w) = K(x,w). [hyper(3872,a,4218,a)]. 4222 L(K(x,y),z,K(u,w)) = K(x,T(T(y,v5),v6)). [hyper(306,a,1945,a,b,4218,a),flip(a)]. 4229 K(x,L(y,z,T(u,w))) = K(x,L(y,z,u)). [para(3560(a,1),4220(a,1,2))]. 4230 K(x,L(y,z,a(u,w,K(v5,v6)))) = K(x,y). [para(3879(a,1),4220(a,1,2,3))]. 4231 T(x,L(y,z,K(u,w))) = (K(y,x) / x) \ 1. [para(4221(a,1),1825(a,2,1,1))]. 4232 K(T(x,y) * z,L(z \ u,z,x)) = K(T(x,y) * z,T(x,y) * u). [hyper(1849,a,4229,a),flip(a)]. 4233 K(x,L(y,z,u / w)) = K(x,L(y,z,w \ u)). [para(108(a,1),4229(a,1,2,3)),flip(a)]. 4234 K(x,L(y,z,(u \ 1) \ (w \ 1))) = K(x,L(y,z,(u \ w) \ 1)). [para(567(a,1),4229(a,1,2,3))]. 4235 (a(x,y,K(z,u)) * w) * K(v5,v6) = a(x,y,K(z,u)) * (w * K(v5,v6)). [para(4230(a,1),3832(a,1,2))]. 4236 L(K(x,y),z,K(u,w)) != v5 | K(x,y) = v5. [para(4222(a,2),1982(a,1))]. 4237 K(x,L(y \ z,u,K(w,v5)) \ 1) != v6 | K(x,z \ y) = v6. [para(3905(a,2),4236(a,1))]. 4238 T(x,L(y,z,K(u,w))) != v5 | T(x,y) = v5. [para(4231(a,2),1826(a,1))]. 4239 T(x,L(y,z,T(u,w))) != v5 | T(x,L(y,z,u)) = v5. [para(3560(a,1),4238(a,1,2))]. 4240 a(x,y,z) * (x * (y * z)) = (x * y) * z. [hyper(306,a,7,a(flip),b,4219,a),flip(a)]. 4241 a(x,y,z) = ((x * y) * z) / (x * (y * z)). [hyper(119,a,7,a(flip),b,4219,a),flip(a)]. 4243 a(x / y,y,x \ z) \ z = (x / y) * (y * (x \ z)). [hyper(118,a,298,a(flip),b,4240,a)]. 4244 (x * (y * z)) \ ((x * (y * z)) / a(x,y,z)) = (x * (y * z)) / ((x * y) * z). [hyper(196,a,4240,a(flip),b,908,a),flip(a)]. 4246 T(x,a((y / z) \ 1,u,w) * (((z \ y) \ 1) * (u * w))) = T(x,(((y / z) \ 1) * u) * w). [para(4240(a,1),2740(a,1,2)),flip(a)]. 4247 ((x * y) * (y \ z)) / (x * z) = a(x,y,y \ z). [para(10(a,1),4241(a,2,2,2)),flip(a)]. 4248 ((x * K(y,z)) * u) / (x * (u * K(y,z))) = a(x,K(y,z),u). [para(244(a,1),4241(a,2,2,2)),flip(a)]. 4249 (x * (y * z)) \ ((x * y) * z) = T(a(x,y,z),(x * y) * z). [para(4241(a,2),400(a,1,1)),flip(a)]. 4250 ((x * y) * (y \ T(z,x))) / (z * x) = a(x,y,y \ T(z,x)). [para(220(a,1),4241(a,2,2)),flip(a)]. 4251 T((x * y) \ ((x * z) * (z \ y)),(x * y) \ 1) = a(x,z,z \ y). [hyper(2117,a,4247,a)]. 4252 a(x,y,K(z,L(u,w,v5))) = L(a(x,y,K(z,u)),w,v5). [para(4214(a,2),4213(a,2,1))]. 4254 (x * y) * a(z,u,K(w,L(v5,y,x))) = x * (y * a(z,u,K(w,v5))). [hyper(121,a,4252,a,b,18,a(flip))]. 4255 a(x \ 1,y,K(z,u)) != w | K((((x \ 1) * y) * z) * (((y * z) \ 1) * x),u) = w. [para(4215(a,1),3487(a,1))]. 4256 (x / y) * (y * (x \ 1)) = a(x,y,y \ 1) \ 1. [para(3739(a,1),4243(a,1,1)),flip(a)]. 4257 (x / y) * (y * (x \ 1)) = a(y,y \ 1,x). [hyper(306,a,2355,a(flip),b,4256,a),flip(a)]. 4258 x * a(y,y \ 1,x) = y \ ((y \ 1) \ x). [hyper(121,a,4257,a(flip),b,3626,a)]. 4259 (x * (y * K(z,u))) / (y * (T(x,y * K(z,u)) * K(z,u))) = a(y,K(z,u),T(x,y * K(z,u))). [para(106(a,1),4248(a,1,1))]. 4260 T(a(x,y,z),(x * y) * z) = a(x,y,z). [hyper(1084,a,4249,a),flip(a)]. 4261 T(a(x,y,z),z * (x * y)) = a(x,y,z). [hyper(1529,a,4260,a)]. 4262 T(a(x,y,z),x * y) = a(x,y,z). [hyper(64,a,3720,a(flip),b,4261,a)]. 4263 a(x,y,T(z,y * x)) = a(x,y,z). [hyper(64,a,3609,a,b,4262,a)]. 4264 T(x * y,a(x,y,z)) = x * y. [hyper(55,a,4262,a)]. 4265 T(x * y,L(z,y,x) \ z) = x * y. [hyper(64,a,4212,a,b,4264,a)]. 4266 a(x \ y,x,T(z,y)) = a(x \ y,x,z). [para(10(a,1),4263(a,1,3,2))]. 4267 a(x,y,T(z,x * y)) = a(x,y,z). [para(1479(a,1),4263(a,1,3))]. 4268 L(a(x,y,z),u * (w * v5),K(v5,u * w)) = a(x,y,T(z,x * y)). [hyper(306,a,2781,a,b,4267,a)]. 4269 x * (L(x,y,z) \ (z * y)) = (z * y) * a(z,y,x). [para(4267(a,1),3812(a,1,2)),flip(a)]. 4270 a(x \ (y \ z),x,(y \ z) \ z) = a(x \ (y \ z),x,y). [para(107(a,1),4266(a,1,3))]. 4271 ((x * (y * z)) / z) \ (x * y) = (x * y) \ ((x * y) * a(x,y,z)). [para(4269(a,1),3969(a,1,2)),flip(a)]. 4272 K(T(x,y) * z,T(x,y) * u) = K(z * T(x,y),L(z \ u,z,x)). [hyper(1845,a,4232,a),flip(a)]. 4273 T(a(x,y,y \ z),(x * z) \ 1) = a(x,y,y \ z). [para(82(a,1),4251(a,1,1))]. 4274 T(a(x,y,y \ z),z \ (x \ 1)) = a(x,y,y \ z). [hyper(3439,a,4273,a)]. 4275 a(x,y,T(z,x * y)) != u | a(x,y,z) = u. [para(4268(a,1),438(a,1))]. 4276 a(x,y,(z * y) \ (x * y)) != u | a(x,y,R(x / z,z,y)) = u. [para(630(a,1),4275(a,1,3))]. 4277 a(x,y,z) = ((x * (y * z)) / z) \ (x * y). [hyper(2351,a,4271,a,b,2994,a),flip(a)]. 4278 ((x * (y * z)) / z) \ (x * y) != u | a(x,y,z) = u. [para(4271(a,2),286(a,1)),flip(b)]. 4279 a((x * y) \ z,x,y) = a(z / x,x,y). [hyper(306,a,4071,a(flip),b,4277,a)]. 4281 ((x * y) / (z \ y)) \ (x * z) = a(x,z,z \ y). [para(10(a,1),4277(a,2,1,1,2)),flip(a)]. 4282 a((x * y) \ (z * x),x,y) = a(z,x,y). [para(11(a,1),4279(a,2,1))]. 4283 a((x * y) \ (z * x),x,y) = ((z * (x * y)) / y) \ (z * x). [hyper(306,a,4277,a(flip),b,4282,a),flip(a)]. 4284 (x / (y \ (z \ x))) \ (z * y) = a(z,y,y \ x). [para(1214(a,1),4281(a,1,1))]. 4285 ((x * (y * (z / y))) / (z / y)) \ (x * y) = a(x,y,y \ z). [para(3322(a,2),4281(a,1,1))]. 4286 ((x * y) / (z \ y)) \ (x * z) = a(x,z,z \ (x * y)). [para(9(a,1),4284(a,1,1,2,2))]. 4289 a(x,y,y \ (x * z)) = a(x,y,y \ z). [hyper(64,a,4281,a(flip),b,4286,a),flip(a)]. 4290 a(x,y,y \ 1) = a(x,y,y \ x). [para(8(a,1),4289(a,1,3,2)),flip(a)]. 4291 a(x,x,x \ y) = a(x,x,y). [para(9(a,1),4289(a,1,3)),flip(a)]. 4294 a((x * y) \ (R(z,x,y) * x),x,y) = (z * x) \ (R(z,x,y) * x). [para(295(a,1),4283(a,2,1))]. 4295 a(x,y,z / y) = a(x,y,y \ z). [hyper(4278,a,4285,a)]. 4296 a(x,y,y \ (z * y)) = a(x,y,z). [para(11(a,1),4295(a,1,3)),flip(a)]. 4298 a(x,y,y \ (y / z)) = a(x,y,y \ (z \ y)). [para(834(a,1),4295(a,1,3))]. 4299 a(x,y,T(z,y)) = a(x,y,z). [para(22(a,2),4296(a,1,3))]. 4300 a(x,T(y,z),z) = a(x,y,z). [hyper(3346,a,4299,a),flip(a)]. 4301 a(x,y,L(T(z,y),u,w)) = a(x,y,L(z,u,w)). [para(25(a,2),4299(a,1,3))]. 4302 a(x,y,y / z) = a(x,y,z \ y). [para(400(a,1),4299(a,1,3)),flip(a)]. 4303 a(x,y,(z \ y) \ y) = a(x,y,z). [para(403(a,1),4299(a,1,3))]. 4305 a(x,T(y,z),L(z,y,u)) = a(x,y,L(z,y,u)). [para(3234(a,1),4300(a,1,2))]. 4306 a(x,T(y,z),L(T(u,y),w,v5)) = a(x,T(y,z),L(u,w,v5)). [para(1484(a,1),4301(a,1,3,1))]. 4307 K(T(x,y) * z,T(x,y) * u) = K(z * x,L(z \ u,z,x)). [hyper(306,a,1856,a(flip),b,4272,a),flip(a)]. 4309 K(T(x \ y,z) * x,T(x \ y,z) * u) = K(y,L(x \ u,x,x \ y)). [para(10(a,1),4307(a,2,1))]. 4310 K(T(x \ y,z) * x,u * (x \ y)) = K(y,L(x \ u,x,x \ y)). [hyper(2123,a,4309,a)]. 4312 K(x * (x \ y),z * (x \ y)) = K(y,L(x \ z,x,x \ y)). [para(2054(a,1),4310(a,1,1))]. 4313 K(x,L(y \ z,y,y \ x)) = K(x,z * (y \ x)). [para(10(a,1),4312(a,1,1)),flip(a)]. 4314 K(x,y * (z \ x)) = K(x,z \ y). [hyper(64,a,3997,a(flip),b,4313,a),flip(a)]. 4317 K(x,y * (z \ x)) != u | K(x,x * (z \ y)) = u. [para(4314(a,2),1848(a,1))]. 4318 K(x,(y \ x) * z) != u | K(x,x * (y \ z)) = u. [para(1953(a,1),4317(a,1))]. 4319 (x * (y * z)) / ((x * y) * z) = ((x * y) * z) \ (x * (y * z)). [hyper(64,a,1085,a(flip),b,4244,a),flip(a)]. 4320 (x * (y * K(z,u))) / ((x * K(z,u)) * y) = ((x * K(z,u)) * y) \ (x * (K(z,u) * y)). [para(244(a,1),4319(a,1,1,2))]. 4321 T(x,((((y \ 1) * z) / u) / u) \ 1) = T(x,((u \ 1) \ y) * ((z / u) \ 1)). [para(1358(a,1),4061(a,1,2))]. 4322 T(x,((y \ 1) \ z) * ((u / y) \ 1)) = T(x,1 * ((((z \ 1) * u) / y) \ y)). [hyper(64,a,4054,a(flip),b,4321,a),flip(a)]. 4323 T(x,((y \ 1) \ z) * ((u / y) \ 1)) = T(x,1 * (y * (((z \ 1) * u) \ y))). [para(350(a,1),4322(a,2,2,2))]. 4324 T(x,((y \ 1) \ z) * ((u / y) \ 1)) = T(x,y * (((z \ 1) * u) \ y)). [para(7(a,1),4323(a,2,2))]. 4325 (x * (y * (y \ R(y,z,z \ x)))) / (x * y) = a(y,z,z \ x). [hyper(306,a,4274,a(flip),b,4078,a),flip(a)]. 4326 (x * R(y,z,z \ x)) / (x * y) = a(y,z,z \ x). [para(10(a,1),4325(a,1,1,2))]. 4327 T((x * y) * (y \ z),x) / (z * x) = a(x,y,y \ z). [para(3993(a,2),4325(a,1,1))]. 4328 x / ((x / R(y,z,z \ x)) * y) = a(y,z,z \ x). [hyper(64,a,3687,a(flip),b,4326,a)]. 4330 T(x \ y,z \ (u \ w)) * T(x,z \ (u \ w)) = T(y,x * (z \ ((w \ u) \ 1))). [para(3433(a,1),4125(a,1,2))]. 4331 T(x,y * (z \ ((u \ w) \ 1))) = T(x,y * (z \ (w \ u))). [hyper(64,a,4122,a(flip),b,4330,a),flip(a)]. 4332 T(x,((y / z) \ 1) \ ((z / y) * y)) = T(x,L(y,z,(z / y) * y)). [para(1296(a,1),4178(a,1,2,1))]. 4333 T(x,L(y,z,(z / y) * y)) = T(x,((y / z) \ 1) \ z). [para(12(a,1),4332(a,1,2,2)),flip(a)]. 4334 T(x,L(y,z,(z / y) * y)) = T(x,((z \ y) \ 1) \ z). [hyper(306,a,2978,a(flip),b,4333,a),flip(a)]. 4335 T(x,((y \ z) \ 1) \ y) = T(x,L(z,y,y)). [para(12(a,1),4334(a,1,2,3)),flip(a)]. 4336 K(x,((y \ z) \ 1) \ y) = x \ T(x,L(z,y,y)). [hyper(118,a,4335,a(flip),b,1892,a(flip)),flip(a)]. 4337 K(x,((y \ z) \ 1) \ y) = K(x,L(z,y,y)). [hyper(306,a,1891,a,b,4336,a),flip(a)]. 4338 K(x,((y \ z) \ 1) \ y) = L(K(x,z),y,y). [hyper(306,a,3821,a,b,4337,a),flip(a)]. 4339 K(x,(y \ z) * y) = L(K(x,z),y,y). [hyper(3483,a,4338,a)]. 4340 L(K(x,y),z,z) = K(x,y). [hyper(1980,a,4339,a),flip(a)]. 4342 (x \ 1) * K(y,z) = x \ K(y,z). [hyper(121,a,4340,a(flip),b,4176,a(flip))]. 4343 (1 / x) \ K(y,z) = x * K(y,z). [hyper(716,a,4342,a),flip(a)]. 4345 K(x,y) * (z \ 1) = z \ K(x,y). [hyper(358,a,4342,a)]. 4346 L(K(x,y),z \ 1,z) = K(x,y). [hyper(702,a,4342,a(flip))]. 4348 (x \ K(y,z)) \ (x \ 1) = K(z,y). [para(4342(a,1),2905(a,1,1))]. 4349 (x \ K(y,z)) \ (x \ 1) != u | K(z,y) = u. [para(4342(a,1),2923(a,1,1))]. 4350 L(K(x,y),z,z \ 1) = K(x,y). [hyper(2358,a,4346,a)]. 4353 K(x,L(y,z,z \ 1)) = K(x,y). [hyper(3914,a,4350,a)]. 4355 K(x,L(y,z,z \ 1)) = K(x,L(y,u,u \ x)). [hyper(306,a,3997,a,b,4353,a),flip(a)]. 4356 (x \ y) * K(y,z) = x \ T(y,z). [hyper(2507,a,4343,a),flip(a)]. 4360 (x * K(y,z)) \ 1 = x \ K(z,y). [hyper(2181,a,4345,a)]. 4361 L(x,x \ y,K(y,z)) = x. [hyper(2243,a,4356,a(flip))]. 4363 (x \ (y \ z)) * K(y \ z,z \ 1) = x \ (z / y). [para(2067(a,1),4356(a,2,2))]. 4364 T((x * y) * (y \ z),x) = (x * y) * (y \ T(z,x)). [para(4356(a,1),3756(a,1,2)),flip(a)]. 4365 L(L(x,x \ 1,y),(x \ 1) * y,K(y,z)) = L(x,x \ 1,y). [para(923(a,1),4361(a,1,2))]. 4366 a(x,x \ 1,y \ K(x,z)) = a(y,x,x \ 1). [para(4360(a,1),3745(a,1,3))]. 4368 K(x,L(y,z,z \ 1)) != u | K(x,y) = u. [para(4355(a,2),3241(a,1))]. 4370 K(x,y * (z \ (u / w))) = K(x,y * (z \ (w \ u))). [para(4363(a,1),2729(a,1,2,2))]. 4371 T((x * y) * (y \ z),x) / (z * x) = a(x,y,y \ T(z,x)). [para(4364(a,2),4250(a,1,1))]. 4372 L(x,x \ 1,T(y,z)) = L(x,x \ 1,y). [hyper(64,a,3564,a(flip),b,4365,a)]. 4373 a(x,y,y \ T(z,x)) = a(x,y,y \ z). [hyper(64,a,4327,a(flip),b,4371,a),flip(a)]. 4374 a(x,y,y \ (z * x)) = a(x,y,y \ (x * z)). [para(792(a,1),4373(a,1,3,2))]. 4375 a(x,y,y \ (z * x)) = a(x,y,y \ z). [hyper(306,a,4289,a(flip),b,4374,a),flip(a)]. 4376 a(x,T(y,z),T(y,z) \ ((y * z) * x)) = a(x,T(y,z),y \ (x * (z * y))). [para(3002(a,1),4374(a,2,3))]. 4377 a(x,T(y,z),y \ ((z * y) * x)) = a(x,T(y,z),y \ (x * (z * y))). [para(3008(a,1),4376(a,1,3))]. 4378 T(x,a((y / z) \ 1,u,w) * (((z \ y) \ 1) * (u * w))) = T(x,w * (((y / z) \ 1) * u)). [hyper(306,a,1479,a,b,4246,a),flip(a)]. 4379 T(x,a((y / z) \ 1,u,w) * (((z \ y) \ 1) * (u * w))) = T(x,w * (((z \ y) \ 1) * u)). [hyper(306,a,2740,a(flip),b,4378,a),flip(a)]. 4380 K(x \ y,L(z,x,a(y,u,u \ 1))) = K(z,L(y,u,u \ 1) \ (a(y,u,u \ 1) * x)). [para(2137(a,1),3962(a,2,2,2,1))]. 4381 (((x * y) / L(z,y,x)) * z) / (x * y) = ((x * (y * z)) / z) \ (x * y). [para(4265(a,1),4048(a,1,2))]. 4382 (x * y) / (((x * y) / z) * L(z,y,x)) = ((x * (y * z)) / z) \ (x * y). [hyper(734,a,4381,a)]. 4384 (x * y) / ((x * (y * z)) / z) = ((x * (y * z)) / z) \ (x * y). [para(2463(a,1),4382(a,1,2))]. 4385 ((R(x,y,z) * (y * z)) / z) \ (R(x,y,z) * y) = (R(x,y,z) * y) / (x * y). [para(295(a,1),4384(a,1,2)),flip(a)]. 4386 ((R(x,y,z) * (y * z)) / z) \ (R(x,y,z) * y) = y / (x * (R(x,y,z) \ y)). [hyper(306,a,2706,a(flip),b,4385,a),flip(a)]. 4387 x / (y * (R(y,x,z) \ x)) = (y * x) \ (R(y,x,z) * x). [para(295(a,1),4386(a,1,1)),flip(a)]. 4389 L(L(x,x * L(x \ 1,y,z),x \ u),y \ 1,z \ 1) \ u = L(R(x \ 1,y,z),x,u) * u. [para(4097(a,1),4114(a,1,1,1))]. 4390 T(K(x,L(y,z,u)) \ 1,((z * K(x,y)) * u) \ 1) = K(y,L(x,z \ 1,u \ 1)). [para(3908(a,1),4147(a,1,1,1))]. 4391 T(1 * K(L(x,y,z),u),((y * K(u,x)) * z) \ 1) = K(x,L(u,y \ 1,z \ 1)). [para(2911(a,1),4390(a,1,1))]. 4392 T(1 * K(x,L(y,z,u)),((z * K(y,x)) * u) \ 1) = K(x,L(y,z \ 1,u \ 1)). [para(3853(a,1),4391(a,1,1,2))]. 4393 K(x,L(y,z \ 1,u \ 1)) = 1 * K(x,L(y,z,u)). [hyper(243,a,4392,a)]. 4394 K(x,L(y,z \ 1,u \ 1)) != w | K(x,L(y,z,u)) = w. [para(4393(a,2),122(a,1)),flip(b)]. 4396 K(x,L(y,z \ 1,u)) != w | K(x,L(y,z,u \ 1)) = w. [para(326(a,1),4394(a,1,2,3))]. 4397 (x * (y * K(z,u))) / (y * (T(x,y) * K(z,u))) = a(y,K(z,u),T(x,y * K(z,u))). [para(1478(a,1),4259(a,1,2,2,1))]. 4399 (x * (y * K(z,u))) / ((x * K(z,u)) * y) = a(y,K(z,u),T(x,y * K(z,u))). [para(3094(a,1),4397(a,1,2))]. 4400 (x * (y * K(z,u))) / ((x * K(z,u)) * y) = a(y,K(z,u),T(x,y)). [para(1478(a,1),4399(a,2,3))]. 4401 ((x * K(y,z)) * u) \ (x * (K(y,z) * u)) = a(u,K(y,z),T(x,u)). [hyper(64,a,4320,a(flip),b,4400,a)]. 4403 ((x * K(y,z)) * u) \ (x * (u * K(y,z))) = a(u,K(y,z),T(x,u)). [para(244(a,1),4401(a,1,2,2))]. 4404 T(x,(y \ z) * ((z \ (y * L(y \ z,u,w))) * v5)) = T(x,v5 * L(v5 \ ((z \ y) \ v5),u,w)). [para(2519(a,1),4058(a,1,2,2,1))]. 4405 K(x,((K(y,z) * u) * w) \ (K(y,L(z,u,w)) * v5)) != v6 | K(x,(u * w) \ v5) = v6. [para(3912(a,1),4237(a,1))]. 4406 a(x,y * R(y \ 1,z,u),y) = a(x,y,y * R(y \ 1,z,u)). [hyper(1084,a,3816,a),flip(a)]. 4407 (x / y) / (L((y \ x) \ K(x,x \ y),z,u) \ 1) = T((y \ x) * L((y \ x) \ 1,z,u),x \ 1). [para(2847(a,1),4144(a,1,2,1,1,2))]. 4408 T((x \ y) * L((x \ y) \ 1,z,u),y \ 1) = (y / x) / (L((x \ y) \ K(y,x),z,u) \ 1). [para(1801(a,1),4407(a,1,2,1,1,2)),flip(a)]. 4409 T((x \ y) * L((x \ y) \ 1,z,u),y \ 1) = (y / x) / (L((y / x) \ 1,z,u) \ 1). [para(2129(a,1),4408(a,2,2,1,1))]. 4410 T((x \ y) * L((x \ y) \ 1,z,u),y \ 1) = (y / x) / L(y / x,z \ 1,u \ 1). [para(4104(a,2),4409(a,2,2))]. 4411 (x * (y * (x * R(x \ 1,z,u)))) \ (x * ((x * R(x \ 1,z,u)) * y)) = K(x * R(x \ 1,z,u),x * y). [para(3662(a,1),2620(a,1,1))]. 4412 K(x * R(x \ 1,y,z),x * u) = K(x * R(x \ 1,y,z),u). [hyper(3004,a,4411,a),flip(a)]. 4413 K((x \ 1) * R((x \ 1) \ 1,y,z),L(u,x,x \ 1)) = K((x \ 1) * R((x \ 1) \ 1,y,z),x * u). [hyper(64,a,1671,a(flip),b,4412,a)]. 4414 K(x \ R(x,y,z),L(u,x,x \ 1)) = K((x \ 1) * R((x \ 1) \ 1,y,z),x * u). [para(1440(a,1),4413(a,1,1))]. 4415 K((x \ 1) * R((x \ 1) \ 1,y,z),x * u) = K(x \ R(x,y,z),u). [hyper(4368,a,4414,a),flip(a)]. 4417 K((x \ 1) * R((x \ 1) \ 1,y,z),x * u) = K(u,R(x,y,z) \ x). [hyper(306,a,2843,a(flip),b,4415,a),flip(a)]. 4418 K(x \ R(x,y,z),x * u) = K(u,R(x,y,z) \ x). [para(1440(a,1),4417(a,1,1))]. 4419 (x \ R(x,y,z)) * K(u,R(x,y,z) \ x) = T(x \ R(x,y,z),x * u). [hyper(121,a,4418,a(flip),b,1935,a)]. 4420 T(x \ R(x,y,z),x * u) = T(x \ R(x,y,z),u). [hyper(2853,a,4419,a),flip(a)]. 4421 L(x \ R(x,y,z),u,x) * (x * u) = x * (u * T(x \ R(x,y,z),u)). [para(4420(a,1),735(a,1,2,2)),flip(a)]. 4422 (x * y) \ (((x \ R(x,z,u)) * x) * y) = R(T(x \ R(x,z,u),y),x,y). [para(4420(a,1),745(a,2,1))]. 4423 (x * ((x \ R(x,y,z)) * u)) / (x * u) = L(x \ R(x,y,z),u,x). [hyper(119,a,218,a(flip),b,4421,a)]. 4424 R(T(x \ R(x,y,z),u),x,u) = (x * u) \ (R(x,y,z) * u). [para(422(a,1),4422(a,1,2,1)),flip(a)]. 4425 (x * (y * (x \ 1))) * L((x * y) \ (x * (y / (x \ 1))),z,u) = (x * y) * ((x \ 1) * L((x \ 1) \ 1,z,u)). [para(2310(a,1),2317(a,1,2,1,2))]. 4427 (x * (y * (z * K(u \ 1,u)))) \ (K(w \ 1,w) * ((x * y) * z)) = L(a(x,y,z),x * (y * z),K(w \ 1,w)). [para(523(a,1),2603(a,1,1,2))]. 4428 L(x \ L(y,z,u),y,y \ 1) / (x \ L(y,z,u)) = x * L(x \ 1,y,y \ 1). [para(10(a,1),2629(a,1,1,1))]. 4429 a(x \ L(y,z,u),y,y \ 1) = x * L(x \ 1,y,y \ 1). [hyper(2191,a,4428,a)]. 4431 a(x \ L(y,z,u),y,y \ 1) = x * (y * ((x * y) \ 1)). [para(2333(a,1),4429(a,2,2))]. 4432 a(x \ y,y,y \ 1) = x * (y * ((x * y) \ 1)). [para(430(a,1),4431(a,1,1,2))]. 4433 a(x \ y,y,y \ 1) = a(y,y \ 1,x). [hyper(306,a,2337,a(flip),b,4432,a),flip(a)]. 4434 a(T(x,y),T(x,y) \ 1,z) = a(z \ T(x,y),x,x \ 1). [hyper(64,a,3329,a(flip),b,4433,a),flip(a)]. 4435 a(x \ T(y,z),y,y \ 1) = a(y,y \ 1,x). [hyper(3324,a,4434,a),flip(a)]. 4436 a(x,x \ 1,y \ x) = a(y,x,x \ 1). [para(830(a,1),4435(a,1,1)),flip(a)]. 4437 (x * (y * (x \ 1))) * L(L(x,x \ 1,y),z,u) = (x * y) * ((x \ 1) * L((x \ 1) \ 1,z,u)). [para(2417(a,1),4425(a,1,2,1))]. 4438 x * ((y * (x \ 1)) * L(L(x,x \ 1,y),z,u)) = (x * y) * ((x \ 1) * L((x \ 1) \ 1,z,u)). [hyper(64,a,1420,a(flip),b,4437,a)]. 4439 (x * y) * ((x \ 1) * L((x \ 1) \ 1,z,u)) = x * (y * ((x \ 1) * L(x,z,u))). [para(527(a,1),4438(a,1,2)),flip(a)]. 4440 (x * y) * ((x \ 1) * L((x \ 1) \ 1,z,u)) = x * (y * (x \ L(x,z,u))). [para(849(a,1),4439(a,2,2,2))]. 4441 (x * y) * (x \ L(x,z,u)) = x * (y * (x \ L(x,z,u))). [para(1577(a,1),4440(a,1,2))]. 4442 L(x \ L(x,y,z),u,x) = x \ L(x,y,z). [hyper(3371,a,4441,a)]. 4443 R(x,y,x \ L(x,z,u)) = x. [hyper(2588,a,4441,a)]. 4444 (T(x,(x \ L(x,y,z)) \ (u \ 1)) * u) * (x \ L(x,y,z)) = (u * (x \ L(x,y,z))) * x. [para(4443(a,1),3441(a,2,2))]. 4445 L(R(x \ L(x,y,z),u,w),v5,x) = R(x \ L(x,y,z),u,w). [para(4442(a,1),29(a,1,1)),flip(a)]. 4446 (x \ 1) \ R(x \ L(x,y,z),u,w) = x * R(x \ L(x,y,z),u,w). [para(4445(a,1),2326(a,1,2))]. 4447 (T(x,L(x,y,z) \ (u \ 1)) * u) * (x \ L(x,y,z)) = (u * (x \ L(x,y,z))) * x. [para(3245(a,1),4444(a,1,1,1))]. 4448 (T(x,y \ 1) * y) * (x \ L(x,z,u)) = (y * (x \ L(x,z,u))) * x. [para(2433(a,1),4447(a,1,1,1))]. 4449 (x * (y \ L(y,z,u))) * y = (x * y) * (y \ L(y,z,u)). [para(2054(a,1),4448(a,1,1)),flip(a)]. 4451 ((x * y) * (y \ L(y,z,u))) / L(y,z,u) = R(x,y \ L(y,z,u),y). [para(4449(a,1),556(a,1,1))]. 4452 R(x,y \ L(y,z,u),y) = R(x,y,y \ L(y,z,u)). [hyper(1114,a,4451,a),flip(a)]. 4453 R(x,y,y \ L(y,z,u)) = L(x,y \ L(y,z,u),y). [hyper(64,a,4098,a,b,4452,a),flip(a)]. 4454 L(a(x,y,z),x * (y * z),K(u \ 1,u)) = ((x * (y * (z * K(w \ 1,w)))) \ ((x * y) * z)) * K(v5 \ 1,v5). [hyper(1395,a,4427,a),flip(a)]. 4456 L(a(x,y,z),x * (y * z),K(u \ 1,u)) = a(x,y,z * K(w \ 1,w)). [hyper(306,a,2646,a(flip),b,4454,a),flip(a)]. 4457 a(x,y,z * K(u \ 1,u)) = a(x,y,z). [hyper(438,a,4456,a),flip(a)]. 4459 a(x,y,(z \ 1) \ 1) = a(x,y,z). [para(345(a,1),4457(a,1,3)),flip(a)]. 4460 (x * (y * z)) * R((x * (y * z)) \ (x * y),u,w) = (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)). [para(93(a,1),1685(a,1,2,1,1))]. 4461 (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)) = x * ((y * z) * R((y * z) \ y,u,w)). [hyper(1683,a,4460,a),flip(a)]. 4462 (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)) = x * (y * (z * R(z \ 1,u,w))). [para(1274(a,1),4461(a,2,2))]. 4463 L(x,y,z) * R(L(x,y,z) \ 1,u,w) = L(x * R(x \ 1,u,w),y,z). [hyper(595,a,4462,a),flip(a)]. 4464 L(x,y,z) * R(L(x,y,z) \ 1,u,w) = R(x * R(x \ 1,u,w),y,z). [hyper(306,a,4097,a,b,4463,a),flip(a)]. 4465 L(x \ 1,x,y) * R(L(x \ 1,x,x \ y) \ 1,z,u) = L((x \ 1) * R((x \ 1) \ 1,z,u),x,x \ y). [para(1067(a,1),4463(a,1,1))]. 4466 L(x \ 1,x,y) * R(L(x,x \ 1,y \ 1),z,u) = L((x \ 1) * R((x \ 1) \ 1,z,u),x,y). [para(1295(a,2),4463(a,1,2,1))]. 4467 L(x,y,z) * L(L(x,y,z) \ 1,u,u \ 1) = L(x * R(x \ 1,u,u \ 1),y,z). [para(2134(a,1),4463(a,1,2))]. 4470 L(x \ 1,y,z) * R(L(x \ 1,y,z) \ 1,u,w) = R(x \ R(x,u,w),y,z). [para(1440(a,1),4464(a,2,1))]. 4471 L(x,y,z) * L(L(x,y,z) \ 1,u,u \ 1) = L(x * L(x \ 1,u,u \ 1),y,z). [para(2134(a,1),4467(a,2,1,2))]. 4472 L(x,y,z) * (u * ((L(x,y,z) * u) \ 1)) = L(x * L(x \ 1,u,u \ 1),y,z). [para(2333(a,1),4471(a,1,2))]. 4473 L(x * L(x \ 1,y,y \ 1),z,u) = a(y,y \ 1,L(x,z,u)). [hyper(2362,a,4472,a),flip(a)]. 4474 L(x * (y * ((x * y) \ 1)),z,u) = a(y,y \ 1,L(x,z,u)). [para(2333(a,1),4473(a,1,1,2))]. 4475 a(x,x \ 1,L(y,z,u)) = L(a(x,x \ 1,y),z,u). [para(2337(a,1),4474(a,1,1)),flip(a)]. 4476 L((x * y) \ ((x \ 1) \ y),z,u) = a(x,x \ 1,L((x \ 1) \ y,z,u)). [para(1100(a,1),4475(a,2,1)),flip(a)]. 4477 a(x,x \ 1,L(y \ 1,z,u)) = L(a(y,x,x \ 1),z,u). [para(2279(a,1),4475(a,2,1))]. 4478 L(a(x,x \ 1,y \ 1),z,y) = a(x,x \ 1,y \ 1). [para(2308(a,1),4475(a,1,3)),flip(a)]. 4479 a(x,x \ 1,L(y \ x,z,u)) = L(a(y,x,x \ 1),z,u). [para(4436(a,1),4475(a,2,1))]. 4480 L(a(x,y,y \ 1),z,x) = a(y,y \ 1,x \ 1). [para(2279(a,1),4478(a,1,1))]. 4481 L(a(x,y,y \ 1),z,x) = a(x,y,y \ 1). [hyper(306,a,2279,a(flip),b,4480,a),flip(a)]. 4482 x * (y * T(a(x,z,z \ 1),x * y)) = a(x,z,z \ 1) * (x * y). [para(4481(a,1),735(a,2,1))]. 4483 L(a(x \ y,z,z \ 1),x \ y,x) = a(z,z \ 1,y \ x). [para(462(a,1),4477(a,1,3)),flip(a)]. 4484 L(a(x \ y,z,z \ 1),x \ y,x) = a(z,z \ 1,y \ (x * z)). [para(605(a,1),4479(a,1,3)),flip(a)]. 4485 a(x,x \ 1,y \ (z * x)) = a(x,x \ 1,y \ z). [hyper(64,a,4483,a(flip),b,4484,a),flip(a)]. 4486 a(T(x,y),T(x,y) \ 1,z \ (x * y)) = a(T(x,y),T(x,y) \ 1,z \ y). [para(106(a,1),4485(a,1,3,2))]. 4487 L(x,y,z) != a(u,u \ 1,L((u \ 1) \ w,y,z)) | (u * w) \ ((u \ 1) \ w) = x. [para(4476(a,1),51(a,1)),flip(a)]. 4488 a(T(x,y),T(x,y) \ 1,z \ y) = a(x,x \ 1,z \ (x * y)). [hyper(3324,a,4486,a),flip(a)]. 4489 a(x,x \ 1,y \ (x * z)) = a(x,x \ 1,y \ z). [hyper(3324,a,4488,a),flip(a)]. 4490 a(x,x \ 1,x \ y) = a(x,x \ 1,y). [para(9(a,1),4489(a,1,3)),flip(a)]. 4491 a(x,x \ 1,y \ (x \ z)) = a(x,x \ 1,y \ z). [para(10(a,1),4489(a,1,3,2)),flip(a)]. 4492 ((x \ 1) * y) * (y \ x) = a(y,y \ 1,x). [hyper(64,a,2391,a(flip),b,4490,a)]. 4493 a(x,x \ 1,x * y) = a(x,x \ 1,y). [para(9(a,1),4490(a,1,3)),flip(a)]. 4494 a(x \ 1,(x \ 1) \ 1,L((x \ 1) \ y,z,u)) = a(x \ 1,(x \ 1) \ 1,x \ L(x * y,z,u)). [para(1576(a,1),4490(a,1,3))]. 4495 a(x,x \ 1,L(x \ y,z,u)) = L(a(x,x \ 1,y),z,u). [para(4490(a,1),4475(a,2,1))]. 4496 ((x \ 1) * y) \ (x \ y) = a(x,x \ 1,y). [hyper(64,a,2392,a,b,4492,a)]. 4497 (x \ y) \ a(x,x \ 1,y) = (y \ 1) * x. [para(4496(a,1),2394(a,1,2))]. 4498 (x \ y) * ((y \ 1) * x) = a(x,x \ 1,y). [hyper(135,a,4497,a)]. 4499 a(x,x \ 1,L(x \ y,z,u)) = a(x,x \ 1,L(y,z,u)). [hyper(306,a,4475,a,b,4495,a),flip(a)]. 4500 a(x,x \ 1,L(x * y,z,u)) = a(x,x \ 1,L(y,z,u)). [para(9(a,1),4499(a,1,3,1)),flip(a)]. 4501 a(T(x,y),T(x,y) \ 1,(x * y) \ (y * z)) = a(T(x,y),T(x,y) \ 1,L(z,x,y)). [para(3129(a,1),4499(a,1,3))]. 4502 a(T(x,y),T(x,y) \ 1,L(z,x,y)) = a(x,x \ 1,(x * y) \ (y * z)). [hyper(3324,a,4501,a),flip(a)]. 4503 a(x,x \ 1,(x * y) \ (y * z)) != u | a(x,x \ 1,L(z,x,y)) = u. [para(4502(a,1),3324(a,1))]. 4504 L(x \ 1,x,y) * L(R(x,z,u),x \ 1,y \ 1) = L((x \ 1) * R((x \ 1) \ 1,z,u),x,y). [para(29(a,1),4466(a,1,2))]. 4505 L((x \ 1) * R((x \ 1) \ 1,y,z),x,u) != L(x \ 1,x,u) * w | L(R(x,y,z),x \ 1,u \ 1) = w. [para(4504(a,1),44(a,1))]. 4506 a(x \ 1,(x \ 1) \ 1,L((x \ 1) \ y,z,u)) = a(x \ 1,x,x \ L(x * y,z,u)). [hyper(306,a,3680,a(flip),b,4494,a),flip(a)]. 4507 a(x \ 1,(x \ 1) \ 1,L((x \ 1) \ y,z,u)) = a(x,x \ 1,x \ L(x * y,z,u)). [hyper(306,a,2336,a(flip),b,4506,a),flip(a)]. 4508 a(x \ 1,(x \ 1) \ 1,L((x \ 1) \ y,z,u)) = a(x,x \ 1,L(x * y,z,u)). [hyper(306,a,4490,a(flip),b,4507,a),flip(a)]. 4509 a(x \ 1,x,L((x \ 1) \ y,z,u)) = a(x,x \ 1,L(x * y,z,u)). [hyper(64,a,3680,a(flip),b,4508,a)]. 4510 a(x,x \ 1,L((x \ 1) \ y,z,u)) = a(x,x \ 1,L(x * y,z,u)). [hyper(2360,a,4509,a)]. 4511 a(x,x \ 1,L((x \ 1) \ y,z,u)) = a(x,x \ 1,L(y,z,u)). [hyper(306,a,4500,a(flip),b,4510,a),flip(a)]. 4512 a(x,x \ 1,L((x \ 1) \ y,z,u)) = L(a(x,x \ 1,y),z,u). [hyper(306,a,4475,a(flip),b,4511,a),flip(a)]. 4513 (x * y) \ ((x \ 1) \ y) = a(x,x \ 1,y). [hyper(4487,a,4512,a(flip))]. 4514 L(x \ 1,x,y) * R(L(x \ 1,x,y) \ 1,z,u) = L((x \ 1) * R((x \ 1) \ 1,z,u),x,x \ y). [para(1067(a,1),4465(a,1,2,1,1))]. 4515 L((x \ 1) * R((x \ 1) \ 1,y,z),x,x \ u) = R(x \ R(x,y,z),x,u). [hyper(64,a,4470,a(flip),b,4514,a),flip(a)]. 4516 L((x \ 1) * R((x \ 1) \ 1,y,z),x,x \ u) = L(x \ R(x,y,z),x,u). [hyper(306,a,4098,a,b,4515,a),flip(a)]. 4517 L(x \ R(x,y,z),x,x \ u) = L(x \ R(x,y,z),x,u). [para(1440(a,1),4516(a,1,1))]. 4518 x / L(y \ R(y,z,u),y,x) = (x / (y * (y \ R(y,z,u)))) * y. [para(4517(a,1),3144(a,1,2))]. 4519 L(x \ R(x,y,z),x,u) * u = T((u / x) * R(x,y,z),u). [para(4517(a,1),3145(a,1,1))]. 4520 L(x \ R(x,y,z),x,u) * u = ((x \ R(x,y,z)) * x) * (x \ u). [para(4517(a,1),4095(a,1,1))]. 4521 x / L(y \ R(y,z,u),y,x) = (x / R(y,z,u)) * y. [para(10(a,1),4518(a,2,1,2))]. 4523 L(x \ R(x,y,z),x,u) * u = R(x,y,z) * (x \ u). [para(422(a,1),4520(a,2,1))]. 4524 T((x / y) * R(y,z,u),x) = R(y,z,u) * (y \ x). [hyper(64,a,4519,a(flip),b,4523,a)]. 4525 L(T(x \ R(x,y,z),u),x,u) = u \ (R(x,y,z) * (x \ u)). [hyper(118,a,4523,a(flip),b,228,a),flip(a)]. 4527 (R(x,y,z) * (x \ u)) / u = u \ ((u / x) * R(x,y,z)). [hyper(119,a,4524,a(flip),b,793,a(flip))]. 4528 x / (y * (R(y,z,u) \ x)) = x \ ((x / y) * R(y,z,u)). [hyper(731,a,4527,a)]. 4530 R(T(x \ R(x,y,z),u),x,u) = u \ (R(x,y,z) * (x \ u)). [hyper(64,a,4097,a,b,4525,a)]. 4531 (x * y) \ (R(x,z,u) * y) = y \ (R(x,z,u) * (x \ y)). [hyper(64,a,4424,a(flip),b,4530,a)]. 4532 x / (y * (R(y,x,z) \ x)) = x \ (R(y,x,z) * (y \ x)). [hyper(64,a,4387,a,b,4531,a)]. 4533 a((x * y) \ (R(z,x,y) * x),x,y) = x \ (R(z,x,y) * (z \ x)). [hyper(64,a,4294,a,b,4531,a)]. 4534 (x * y) \ (R(z,x,y) * (z \ (x * y))) = (z * (x * y)) \ ((z * x) * y). [para(102(a,1),4531(a,1,2)),flip(a)]. 4535 x \ (R(T(y,x \ 1),z,u) * (T(y,x \ 1) \ x)) = (x * y) \ (R(T(y,x \ 1),z,u) * x). [para(2054(a,1),4531(a,1,1)),flip(a)]. 4536 x \ (R(y,x,z) * (y \ x)) = x \ ((x / y) * R(y,x,z)). [hyper(64,a,4528,a(flip),b,4532,a),flip(a)]. 4537 R(x,y,z) * (x \ y) = (y / x) * R(x,y,z). [hyper(39,a,4528,a(flip),b,4532,a(flip)),flip(a)]. 4539 ((x / y) * R(y,x,z)) / x = x \ ((x / y) * R(y,x,z)). [para(4537(a,1),4527(a,1,1))]. 4540 x / ((x / R(y,x,z)) * y) = x \ ((x / y) * R(y,x,z)). [hyper(734,a,4539,a)]. 4541 (x / y) * R(y,x,z) = x * a((x * z) \ (R(y,x,z) * x),x,z). [hyper(121,a,4533,a,b,4536,a(flip)),flip(a)]. 4542 (x / y) * R(y,x,z) = x * a(R(y,x,z),x,z). [para(4282(a,1),4541(a,2,2))]. 4543 x \ ((x / y) * R(y,x,z)) != u | a(R(y,x,z),x,z) = u. [para(4542(a,2),286(a,1,2)),flip(b)]. 4544 a(x,y,z) = (y * z) \ (R(x,y,z) * (x \ (y * z))). [hyper(306,a,14,a,b,4534,a)]. 4545 a(x,y,z) = (y * z) \ (x \ ((x * y) * z)). [para(1452(a,1),4544(a,2,2))]. 4546 (x * ((y * x) \ (z * x))) \ (z \ ((z * x) * ((y * x) \ (z * x)))) = a(z,x,R(z / y,y,x)). [hyper(4276,a,4545,a),flip(a)]. 4547 (x * y) \ (T(z,y \ z) \ ((T(z,y \ z) * x) * y)) = a(z,x,T(y,z)). [hyper(64,a,3419,a(flip),b,4545,a),flip(a)]. 4548 (x * ((y * x) \ z)) \ (y \ z) = a(y,x,(y * x) \ z). [para(10(a,1),4545(a,2,2,2)),flip(a)]. 4549 (x * y) \ ((z / x) \ (z * y)) = a(z / x,x,y). [para(12(a,1),4545(a,2,2,2,1)),flip(a)]. 4550 x * ((y * z) * a(x,y,z)) = (x * y) * z. [para(4545(a,2),72(a,1,2,2))]. 4551 (x * y) \ (z \ ((z * x) * y)) = a(T(z,x \ 1),x,y). [para(3191(a,1),4545(a,2,2)),flip(a)]. 4552 x * (y * a(x,z,z \ y)) = (x * z) * (z \ y). [para(10(a,1),4550(a,1,2,1))]. 4553 x * a(x,y,y \ x) = L(x,y,y \ x). [hyper(35,a,3154,a,b,4552,a),flip(a)]. 4554 (x \ 1) * (y * a(x \ 1,R(x,z,u),R(x,z,u) \ y)) = (x \ R(x,z,u)) * (R(x,z,u) \ y). [para(846(a,1),4552(a,2,1))]. 4555 x \ L(x,y,y \ x) = a(x,y,y \ x). [hyper(125,a,4553,a)]. 4556 x \ L(x,y,y \ x) = a(x,y,y \ 1). [hyper(306,a,4290,a,b,4555,a),flip(a)]. 4557 L(x,y,y \ 1) = L(x,y,y \ x). [hyper(39,a,2137,a,b,4556,a)]. 4558 L(x,y,y \ x) * a(y,y \ 1,x) = x. [para(4557(a,1),2328(a,1,1))]. 4559 x * (y \ (y / x)) = a(x,x \ 1,y). [hyper(3152,a,4558,a)]. 4560 x * L(x \ 1,x,y) = a(x,x \ 1,y). [hyper(64,a,498,a,b,4559,a)]. 4561 (x \ (x / (y \ 1))) \ y = a(y,y \ 1,x \ 1). [hyper(64,a,2409,a(flip),b,4559,a)]. 4562 a(x \ 1,(x \ 1) \ 1,y) = x \ L(x,x \ 1,y). [hyper(64,a,1577,a(flip),b,4560,a),flip(a)]. 4563 (x \ (x / (y \ 1))) \ y = a(x,y,y \ 1). [hyper(306,a,2279,a(flip),b,4561,a),flip(a)]. 4564 L(x,x \ 1,y) \ x = a(y,x,x \ 1). [hyper(64,a,697,a,b,4563,a)]. 4565 a(x,y,y \ 1) \ y = L(y,y \ 1,x). [para(4564(a,1),837(a,1,1))]. 4566 R(L(x,x \ 1,y),a(y,x,x \ 1),z) \ (x * z) = (L(x,x \ 1,y) \ x) * z. [para(4564(a,1),618(a,1,1,2))]. 4567 x \ L(x,x \ 1,y) = a(x \ 1,x,y). [hyper(64,a,3680,a(flip),b,4562,a),flip(a)]. 4568 x \ L(x,x \ 1,y) = a(x,x \ 1,y). [hyper(306,a,2336,a(flip),b,4567,a),flip(a)]. 4570 a(T(x,y),x \ 1,T(T(y,z),x)) = x \ L(x,x \ 1,T(y,z)). [hyper(306,a,3411,a,b,4568,a)]. 4571 (x \ 1) \ a(x,x \ 1,y) = L(x,x \ 1,y). [hyper(118,a,4568,a(flip),b,849,a)]. 4572 (x \ 1) \ a(y,x,x \ 1) = L(x,x \ 1,y \ 1). [para(2279(a,1),4571(a,1,2))]. 4573 a(T(x,y \ 1),y,z) = a(x,y,z). [hyper(64,a,4545,a,b,4551,a),flip(a)]. 4574 a(x,T(y,x),z) = a(x,y,z). [hyper(64,a,3370,a(flip),b,4573,a)]. 4575 a(R(T(x,y \ 1),z,u),y,w) = a(R(x,z,u),y,w). [para(27(a,2),4573(a,1,1))]. 4576 a(T(x,y),y,z) = a(x,y,z). [para(2053(a,1),4573(a,1,1)),flip(a)]. 4577 a(x / y,y,z) = a(y \ x,y,z). [para(2066(a,1),4573(a,1,1))]. 4578 (x * y) \ ((x * (y * z)) / z) = a(z,y,T(x,z * y)). [hyper(64,a,4140,a(flip),b,4574,a)]. 4579 a(x,y,z * K(x,y)) = a(x,y,z). [hyper(64,a,3423,a(flip),b,4574,a),flip(a)]. 4580 a(T(x,y),T(z,x),u) = a(T(x,y),z,u). [para(1484(a,1),4574(a,1,2))]. 4581 a(x,y,T(x,y) * z) != u | a(x,y,x * z) = u. [para(4574(a,1),3606(a,1))]. 4582 a(T(x,y),T(y,z),u) = a(x,T(y,z),u). [para(1484(a,1),4576(a,1,1))]. 4583 a((x * y) \ z,x,y) = a(x \ z,x,y). [hyper(64,a,4279,a,b,4577,a)]. 4584 (x / y) \ (x * z) = (y * z) * a(y \ x,y,z). [hyper(121,a,4577,a(flip),b,4549,a),flip(a)]. 4585 a(T(x,y),y,z) != u | a(x,y,z) = u. [para(4580(a,1),3266(a,1))]. 4586 a(T(x,y),T(y,z),u) != w | a(x,T(y,z),u) = w. [para(4580(a,1),3267(a,1))]. 4587 a(x,T(y,x),z) != u | a(x,y,z) = u. [para(4582(a,1),3266(a,1))]. 4588 a(x,K(y,T(z,u)),w) != v5 | a(x,K(y,z),w) = v5. [para(1944(a,1),4587(a,1,2))]. 4589 a(x * (y / x),x,z) != u | a(y,x,z) = u. [para(3369(a,2),4587(a,1))]. 4590 a(T(x,y \ 1),y,z) != u | a(x,y,z) = u. [para(3370(a,2),4587(a,1))]. 4591 a((x * y) \ (z \ (x * y)),x,y) = a(x \ ((x * y) / z),x,y). [hyper(64,a,3988,a(flip),b,4583,a)]. 4592 a(x * (y / x),x,z) = a(y,x,T(z,x)). [hyper(4589,a,4299,a),flip(a)]. 4594 a(x,y,T(z,y)) != u | a(x,y,z) = u. [para(4592(a,1),4589(a,1))]. 4595 a(x,y,y \ (z * y)) != u | a(x,y,z) = u. [para(22(a,1),4594(a,1,3))]. 4596 a(x,y \ z,(y \ z) \ z) != u | a(x,y \ z,y) = u. [para(107(a,1),4594(a,1,3))]. 4598 a(x,y,y \ (z \ y)) != u | a(x,y,L(z \ 1,z,y)) = u. [para(935(a,1),4594(a,1,3))]. 4599 a(x,T(y,z),T(u,y)) != w | a(x,T(y,z),u) = w. [para(1484(a,1),4594(a,1,3))]. 4600 a(x / y,y,z) != u | a(y \ x,y,z) = u. [para(2066(a,1),4590(a,1,1))]. 4601 (x * y) \ (z \ ((z * x) * y)) != u | a(z,x,y) = u. [para(4551(a,2),4590(a,1))]. 4602 L(x,y,y \ 1) \ x != z | a(y \ 1,y,x) = z. [para(1106(a,2),4600(a,1))]. 4603 a((x * y) \ z,x,y) != u | a(x \ z,x,y) = u. [para(4279(a,2),4600(a,1))]. 4604 ((L(x,y,z) \ x) / x) \ ((L(x,y,z) \ x) * u) = (x * u) * a(L(x,y,z) \ 1,x,u). [para(1198(a,1),4584(a,2,2,1))]. 4607 a(x,y,z) != u | a(x,T(y,z),z) = u. [para(3263(a,1),4599(a,1))]. 4608 a(x,x \ 1,y) != z | a(x \ 1,x,y) = z. [para(2327(a,1),4602(a,1))]. 4609 a((x * y) \ ((x * z) * y),x,y) = a(R(z,x,y),x,y). [hyper(64,a,3998,a,b,4575,a)]. 4610 a(x,y,z) = (z * y) \ ((z * (y * x)) / x). [hyper(306,a,4267,a(flip),b,4578,a)]. 4611 a(x,y,z) = L(x \ L(x,y,z),x,z * y). [hyper(306,a,3621,a,b,4610,a),flip(a)]. 4612 L(x,y,z * u) != a(y,u,z) | y \ L(y,u,z) = x. [para(4611(a,2),51(a,1)),flip(a)]. 4615 a(x \ ((x * y) * z),x,z) = a(R(y,x,z),x,z). [hyper(4603,a,4609,a)]. 4616 a(T(x,y),x \ 1,T(T(y,z),x)) = x \ L(x,x \ 1,y). [para(4372(a,1),4570(a,2,2))]. 4617 a(T(x,y),x \ 1,T(T(y,z),x)) = a(x,x \ 1,y). [hyper(306,a,4568,a(flip),b,4616,a),flip(a)]. 4619 a(x,x \ 1,T(y,z)) = a(x,x \ 1,y). [hyper(3413,a,4617,a)]. 4620 a(x,x \ 1,R(y / z,u,w)) = a(x,x \ 1,R(z \ y,u,w)). [para(238(a,1),4619(a,1,3)),flip(a)]. 4621 a(x \ ((x * y) / z),x,y) != u | a(x \ (z \ (x * y)),x,y) = u. [para(4591(a,1),4603(a,1))]. 4622 (x * y) \ (T(z,y \ z) \ ((z * (x * K(y,z))) * y)) = a(z,x,T(y,z)). [para(2881(a,1),4547(a,1,2,2,1))]. 4623 (x * y) \ (T(z,y \ z) \ ((z * x) * T(y,z))) = a(z,x,T(y,z)). [para(2863(a,1),4622(a,1,2,2))]. 4624 (x * y) \ (K(z,y) * (z \ ((z * x) * T(y,z)))) = a(z,x,T(y,z)). [para(2975(a,1),4623(a,1,2))]. 4625 (x * y) \ (z \ ((z * x) * y)) = a(z,x,T(y,z)). [para(2836(a,1),4624(a,1,2))]. 4626 a(x,y,T(z,x)) = a(x,y,z). [hyper(4601,a,4625,a),flip(a)]. 4627 a(x * y,z,y \ 1) = a(y * x,z,y \ 1). [hyper(64,a,3416,a(flip),b,4626,a)]. 4628 a(x,y,L(T(z,x),u,w)) = a(x,y,L(z,u,w)). [para(25(a,2),4626(a,1,3))]. 4629 a(x,y,x / z) = a(x,y,z \ x). [para(400(a,1),4626(a,1,3)),flip(a)]. 4630 a(x,y,z * x) = a(x,y,x * z). [para(792(a,1),4626(a,1,3))]. 4631 a(x,x \ 1,y * x) = a(x,x \ 1,y). [hyper(306,a,4493,a(flip),b,4630,a),flip(a)]. 4632 a(x,x \ 1,L(y * x,z,u)) = L(a(x,x \ 1,y),z,u). [para(4631(a,1),4475(a,2,1))]. 4633 a(x,y,L(x / z,u,w)) = a(x,y,L(z \ x,u,w)). [para(400(a,1),4628(a,1,3,1)),flip(a)]. 4634 a(x,x \ 1,L(y * x,z,u)) = a(x,x \ 1,L(y,z,u)). [hyper(306,a,4475,a,b,4632,a),flip(a)]. 4635 a(x,x \ 1,L(y,z,y * x)) = a(x,x \ 1,y * x). [para(757(a,1),4634(a,1,3)),flip(a)]. 4636 a(x,x \ 1,L(y,z,y * x)) = a(x,x \ 1,y). [hyper(306,a,4631,a(flip),b,4635,a),flip(a)]. 4637 a(T(x,y),T(x,y) \ 1,z) = a(x,x \ 1,L(z,u,z * T(x,y))). [hyper(3324,a,4636,a),flip(a)]. 4638 a(x,x \ 1,L(y,z,y * T(x,u))) != w | a(x,x \ 1,y) = w. [para(4637(a,1),3324(a,1))]. 4639 L(R(x,a(y,x,x \ 1),z),x \ 1,y) \ (x * z) = (L(x,x \ 1,y) \ x) * z. [para(29(a,1),4566(a,1,1))]. 4640 L(R(x,a(y,x,x \ 1),z),x \ 1,y) \ (x * z) = a(y,x,x \ 1) * z. [para(4564(a,1),4639(a,2,1))]. 4641 L(R(x,a(y,x,x \ 1),x \ z),x \ 1,y) \ z = a(y,x,x \ 1) * (x \ z). [para(10(a,1),4640(a,1,2))]. 4642 (x \ (x / L(x,y,z))) \ ((L(x,y,z) \ x) * u) = (x * u) * a(L(x,y,z) \ 1,x,u). [para(834(a,1),4604(a,1,1))]. 4643 (x \ (L(x,y,z) \ x)) \ ((L(x,y,z) \ x) * u) = (x * u) * a(L(x,y,z) \ 1,x,u). [para(835(a,1),4642(a,1,1,2))]. 4644 (L(x,y,z) \ 1) \ ((L(x,y,z) \ x) * u) = (x * u) * a(L(x,y,z) \ 1,x,u). [para(1198(a,1),4643(a,1,1))]. 4645 (L(x,y,z) \ 1) \ ((L(x,y,z) \ x) * u) = (x * u) * a(x,L(x,y,z) \ 1,u). [para(3694(a,1),4644(a,2,2))]. 4646 x \ (R(T(y,x \ 1),z,u) * (T(y,x \ 1) \ x)) = (x * y) \ (x * R(y,z,u)). [para(2069(a,1),4535(a,2,2))]. 4647 (x * y) \ (x * R(y,z,u)) = x \ ((x / y) * R(y,z,u)). [para(3667(a,1),4646(a,1,2)),flip(a)]. 4648 (x * L(y \ 1,y,x)) \ (x * R(L(y \ 1,y,x),z,u)) = x \ ((x * y) * R(L(y \ 1,y,x),z,u)). [para(465(a,1),4647(a,2,2,1))]. 4649 (x * ((y * x) \ (z * x))) \ (z \ (z * (y \ (z * x)))) = a(z,x,R(z / y,y,x)). [para(114(a,1),4546(a,1,2,2))]. 4650 a(x,y,R(x / z,z,y)) != u | a(x,y,(z * y) \ (x * y)) = u. [para(4546(a,1),4601(a,1))]. 4651 (x * ((y * x) \ (z * x))) \ (y \ (z * x)) = a(z,x,R(z / y,y,x)). [para(9(a,1),4649(a,1,2))]. 4653 (x / y) \ (x * R(L(y \ 1,y,x),z,u)) = x \ ((x * y) * R(L(y \ 1,y,x),z,u)). [para(471(a,1),4648(a,1,1))]. 4654 (x / y) \ (x * L(R(y \ 1,z,u),y,x)) = x \ ((x * y) * R(L(y \ 1,y,x),z,u)). [para(29(a,1),4653(a,1,2,2))]. 4655 (x / y) \ (x * L(R(y \ 1,z,u),y,x)) = x \ ((x * y) * L(R(y \ 1,z,u),y,x)). [para(29(a,1),4654(a,2,2,2))]. 4656 (x / y) \ (x * L(R(y \ 1,z,u),y,x)) = y * R(y \ 1,z,u). [hyper(306,a,292,a(flip),b,4655,a),flip(a)]. 4658 (x / y) \ (x * R(x \ (x / y),z,u)) = y * R(y \ 1,z,u). [para(499(a,2),4656(a,1,2,2))]. 4659 (x / y) * (y * R(y \ 1,z,u)) = x * R(x \ (x / y),z,u). [hyper(135,a,4658,a)]. 4660 (x / y) \ (x * R(x \ (x / y),z,u)) != w | y * R(y \ 1,z,u) = w. [para(4659(a,1),286(a,1,2)),flip(b)]. 4661 a((x * y) \ ((x * y) / z),x,y) != u | z * R(z \ 1,x,y) = u. [para(3979(a,1),4660(a,1))]. 4662 a((x * y) \ (z \ (x * y)),x,y) = z * R(z \ 1,x,y). [hyper(4661,a,3988,a),flip(a)]. 4663 a((x * y) \ (z \ (x * y)),x,y) != u | z * R(z \ 1,x,y) = u. [para(3988(a,1),4661(a,1))]. 4664 a((x * y) \ (z \ (x * y)),x,y) = R(z \ 1,x,y) * z. [hyper(306,a,751,a,b,4662,a),flip(a)]. 4665 a((x * y) \ ((z / u) \ (x * y)),x,y) = z / (R(u / z,x,y) \ u). [hyper(306,a,2644,a(flip),b,4662,a),flip(a)]. 4666 T(a((x * y) \ (L(z,u,w) \ (x * y)),x,y),z) = L(z,u,w) * T(R(L(z,u,w) \ 1,x,y),z). [para(4662(a,2),1607(a,1,1))]. 4667 a(x \ (y \ (x * z)),x,z) != u | y * R(y \ 1,x,z) = u. [para(4583(a,1),4663(a,1))]. 4668 a((x * y) \ (((z / u) / z) \ (x * y)),x,y) = (z / u) / (R(z * (u / z),x,y) \ z). [para(890(a,1),4665(a,2,2,1,1))]. 4669 a((x * y) \ ((z / (z * u)) \ (x * y)),x,y) = (z / u) / (R(z * (u / z),x,y) \ z). [para(394(a,1),4668(a,1,1,2,1))]. 4670 a((x * y) \ ((z / (z * u)) \ (x * y)),x,y) = z / ((z / R(u,x,y)) * u). [hyper(306,a,3692,a(flip),b,4669,a),flip(a)]. 4671 a(x \ ((y / (y * z)) \ (x * u)),x,u) = y / ((y / R(z,x,u)) * z). [hyper(4603,a,4670,a)]. 4672 T(a((x * y) \ (L(z,u,w) \ (x * y)),x,y),z) = L(z,u,w) * R(T(L(z,u,w) \ 1,z),x,y). [para(27(a,2),4666(a,2,2))]. 4673 T(a((x * y) \ (L(z,u,w) \ (x * y)),x,y),z) = L(z,u,w) * R(L(z,u,w) \ 1,x,y). [para(1203(a,1),4672(a,2,2,1))]. 4674 T(a((x * y) \ (L(z,u,w) \ (x * y)),x,y),z) = L(z * R(z \ 1,x,y),u,w). [hyper(306,a,4463,a(flip),b,4673,a),flip(a)]. 4675 T(a((x * y) \ (T(z,u) * (x * y)),x,y),T(z \ 1,u)) = L(T(z \ 1,u) * R(T(z \ 1,u) \ 1,x,y),z,x * y). [para(3603(a,1),4674(a,1,1,1,2))]. 4676 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(78(a,1),2250(a,1,1,2))]. 4677 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(25(a,2),4676(a,1,1))]. 4678 ((1 / x) * (y * x)) \ ((1 / x) \ T(L(y,x,x \ 1),(1 / x) \ 1)) = L(y,x,x \ 1) \ (x * y). [para(713(a,1),4677(a,1,1))]. 4679 ((1 / x) * (y * x)) \ ((1 / x) \ T(L(y,x,x \ 1),x)) = L(y,x,x \ 1) \ (x * y). [para(78(a,1),4678(a,1,2,2,2))]. 4680 ((1 / x) * (y * x)) \ ((1 / x) \ L(T(y,x),x,x \ 1)) = L(y,x,x \ 1) \ (x * y). [para(25(a,2),4679(a,1,2,2))]. 4681 ((1 / x) * (y * x)) \ ((1 / x) \ ((1 / x) * (y * x))) = L(y,x,x \ 1) \ (x * y). [para(713(a,1),4680(a,1,2,2))]. 4682 ((1 / x) * (y * x)) \ (y * x) = L(y,x,x \ 1) \ (x * y). [para(9(a,1),4681(a,1,2))]. 4684 1 / R(T(x,y),x \ 1,y * x) = (L(y,x,x \ 1) \ (x * y)) \ 1. [para(4682(a,1),2449(a,1,1)),flip(a)]. 4685 ((L(x,y,y \ 1) \ (y * x)) \ 1) \ 1 = R(T(y,x),y \ 1,x * y). [hyper(189,a,4684,a)]. 4686 ((x \ 1) * (x * y)) \ (x * y) = R(T(x,y),x \ 1,y * x). [hyper(64,a,1409,a(flip),b,4685,a)]. 4687 T((T(T(x,y),z) / u) \ w,v5 * (u / T(T(x,y),z))) * T(u \ T(T(T(x,u \ 1),y),z),v5) = T(w,v5). [para(2092(a,1),4146(a,1,1,2,2))]. 4688 T((T(T(x,y),z) / u) \ w,v5 * (T(T(x,y),z) \ u)) * T(u \ T(T(T(x,u \ 1),y),z),v5) = T(w,v5). [para(2731(a,1),4687(a,1,1))]. 4689 T((T(T(x,y),z) / u) \ w,v5 * (T(x,y) \ u)) * T(u \ T(T(T(x,u \ 1),y),z),v5) = T(w,v5). [para(2953(a,1),4688(a,1,1))]. 4690 T((T(T(x,y),z) / u) \ w,v5 * (x \ u)) * T(u \ T(T(T(x,u \ 1),y),z),v5) = T(w,v5). [para(2953(a,1),4689(a,1,1))]. 4692 T((T(T(x,y),z) / u) \ w,v5 * (x \ u)) * T(T(T(x,y),z) / u,v5) = T(w,v5). [para(2057(a,1),4690(a,1,2,1))]. 4694 (((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(20(a,2),2490(a,2,2,1,1))]. 4695 (((x * y) * R((x * y) \ y,z,u)) * w) / (y * w) = R(x,y,w) * R(R(x,y,w) \ 1,z,u). [para(2514(a,1),4694(a,1,1))]. 4696 (((x * R(x \ 1,y,z)) * u) * w) / (u * w) = R(x,u,w) * R(R(x,u,w) \ 1,y,z). [para(2530(a,1),4695(a,1,1,1))]. 4697 R(x,y,z) * R(R(x,y,z) \ 1,u,w) = R(x * R(x \ 1,u,w),y,z). [hyper(621,a,4696,a),flip(a)]. 4699 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(1800(a,1),4697(a,2,1,2,1))]. 4700 R(x,y,z) * L(R(x,y,z) \ 1,u,u \ 1) = R(x * R(x \ 1,u,u \ 1),y,z). [para(2134(a,1),4697(a,1,2))]. 4701 R((x \ 1) * R((x \ 1) \ 1,y,z),u,x) = (x \ 1) * R(R(x \ 1,u,x) \ 1,y,z). [para(2345(a,1),4697(a,1,1)),flip(a)]. 4703 R(x,y,z) * (u * ((R(x,y,z) * u) \ 1)) = R(x * R(x \ 1,u,u \ 1),y,z). [para(2333(a,1),4700(a,1,2))]. 4704 R(x * R(x \ 1,y,y \ 1),z,u) = a(y,y \ 1,R(x,z,u)). [hyper(2362,a,4703,a),flip(a)]. 4705 R(x * L(x \ 1,y,y \ 1),z,u) = a(y,y \ 1,R(x,z,u)). [para(2134(a,1),4704(a,1,1,2))]. 4706 R(x * (y * ((x * y) \ 1)),z,u) = a(y,y \ 1,R(x,z,u)). [para(2333(a,1),4705(a,1,1,2))]. 4707 a(x,x \ 1,R(y,z,u)) = R(a(x,x \ 1,y),z,u). [para(2337(a,1),4706(a,1,1)),flip(a)]. 4708 a(x,x \ 1,R(y \ 1,z,u)) = R(a(y,x,x \ 1),z,u). [para(2279(a,1),4707(a,2,1))]. 4709 R((x \ 1) * R((x \ 1) \ 1,y,z),u,x) = (x \ 1) * R((x \ 1) \ 1,y,z). [para(2345(a,1),4701(a,2,2,1,1))]. 4710 R((x \ 1) * R((x \ 1) \ 1,y,z),u,x) = x \ R(x,y,z). [hyper(306,a,1440,a(flip),b,4709,a),flip(a)]. 4712 R(x \ R(x,y,z),u,x) = x \ R(x,y,z). [para(1440(a,1),4710(a,1,1))]. 4713 L(x \ R(x,y,z),u,x) = x \ R(x,y,z). [hyper(64,a,4098,a,b,4712,a)]. 4714 (x \ R(x,y,z)) * (x * u) = x * ((x \ R(x,y,z)) * u). [hyper(120,a,4713,a(flip),b,4423,a)]. 4715 ((x / R(y,z,u)) * y) * (y \ R(y,z,u)) = y * ((y \ R(y,z,u)) * (R(y,z,u) \ x)). [hyper(64,a,4135,a,b,4714,a)]. 4716 (x * ((x \ R(x,y,z)) * u)) \ (((x \ R(x,y,z)) * x) * u) = a(x \ R(x,y,z),x,u). [para(4714(a,1),14(a,2,1)),flip(a)]. 4717 (x * ((x \ R(x,y,z)) * u)) \ (R(x,y,z) * u) = a(x \ R(x,y,z),x,u). [para(422(a,1),4716(a,1,2,1))]. 4718 a(x \ R(x,y,z),x,u) != w | a(x,x \ R(x,y,z),u) = w. [para(4717(a,1),1363(a,1))]. 4719 x / ((x / R(y \ R(y,z,u),y,y \ x)) * (y \ R(y,z,u))) = a(y,y \ R(y,z,u),y \ x). [hyper(4718,a,4328,a(flip)),flip(a)]. 4720 x / ((x / L(y \ R(y,z,u),y,y \ x)) * (y \ R(y,z,u))) = a(y,y \ R(y,z,u),y \ x). [para(4097(a,1),4719(a,1,2,1,2))]. 4721 x / ((x / L(y \ R(y,z,u),y,x)) * (y \ R(y,z,u))) = a(y,y \ R(y,z,u),y \ x). [para(4517(a,1),4720(a,1,2,1,2))]. 4722 x / (((x / R(y,z,u)) * y) * (y \ R(y,z,u))) = a(y,y \ R(y,z,u),y \ x). [para(4521(a,1),4721(a,1,2,1))]. 4723 (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(18(a,2),2522(a,2,2,1,1))]. 4724 (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(1419(a,1),4723(a,1,2))]. 4725 (x * y) \ (x * ((y * z) * L((y * z) \ y,u,w))) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). [para(9(a,1),4724(a,1,2,2,2,1,2))]. 4726 (x * y) \ (x * (y * (z * L(z \ 1,u,w)))) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). [para(1277(a,1),4725(a,1,2,2))]. 4727 L(x,y,z) * L(L(x,y,z) \ 1,u,w) = L(x * L(x \ 1,u,w),y,z). [hyper(597,a,4726,a),flip(a)]. 4728 L(1 / x,y,z) * L(L(1 / x,y,z) \ 1,u,w) = L((1 / x) * L(x,u,w),y,z). [para(78(a,1),4727(a,2,1,2,1))]. 4729 L(x * L(x \ 1,y,z),u,x) = x * L(L(x,u,x) \ 1,y,z). [para(757(a,1),4727(a,1,1)),flip(a)]. 4730 L(x * L(x \ 1,y,z),u,x) = x * L(x \ 1,y,z). [para(757(a,1),4729(a,2,2,1,1))]. 4731 (x * y) / (x * L(x \ 1,z,u)) = x * (y / (x * L(x \ 1,z,u))). [hyper(196,a,4730,a(flip),b,97,a(flip))]. 4732 (x * (y * (x * L(x \ 1,z,u)))) / (y * (x * L(x \ 1,z,u))) = R(x,y,L(x * L(x \ 1,z,u),y,x)). [para(4730(a,1),594(a,1,2,2))]. 4733 (x \ y) * T(x * L(x \ 1,z,u),y) = (x * L(x \ 1,z,u)) * (x \ y). [para(4730(a,1),3758(a,1,1)),flip(a)]. 4734 x * ((L(x \ 1,x,y) * z) / (x * L(x \ 1,x,y))) = L(z,x,y \ (y / x)). [hyper(64,a,4197,a(flip),b,4731,a),flip(a)]. 4735 T(x,y * (((z \ u) \ 1) * T((u / z) * L((u / z) \ 1,w,v5),1))) = T(x,y * (((u / z) * L((u / z) \ 1,w,v5)) * ((u / z) \ 1))). [para(4733(a,1),2740(a,1,2,2)),flip(a)]. 4737 x * ((L(x \ 1,x,y) * z) / a(x,x \ 1,y)) = L(z,x,y \ (y / x)). [para(4560(a,1),4734(a,1,2,2))]. 4738 L(x \ 1,y,z) * L(L(1 / x,y,z) \ 1,u,w) = L((1 / x) * L(x,u,w),y,z). [para(325(a,1),4728(a,1,1,1))]. 4739 L(x \ 1,y,z) * L(L(x \ 1,y,z) \ 1,u,w) = L((1 / x) * L(x,u,w),y,z). [para(325(a,1),4738(a,1,2,1,1,1))]. 4740 L(x \ 1,y,z) * L(R(x,y \ 1,z \ 1),u,w) = L((1 / x) * L(x,u,w),y,z). [para(2574(a,2),4739(a,1,2,1))]. 4741 L(x \ 1,y,z) * L(R(x,y \ 1,z \ 1),u,w) = L(x \ L(x,u,w),y,z). [para(1042(a,1),4740(a,2,1))]. 4742 R(x,y,L(x * L(x \ 1,z,u),y,x)) = x. [hyper(260,a,4732,a),flip(a)]. 4744 R(x,y,x * L(x \ 1,z,u)) = x. [para(4730(a,1),4742(a,1,3))]. 4745 R(x,y,x * L(x \ 1,z,u)) = w \ (w * x). [hyper(306,a,9,a,b,4744,a),flip(a)]. 4747 (((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(20(a,2),2524(a,2,2,1,1))]. 4748 (((x * y) * L((x * y) \ y,z,u)) * w) / (y * w) = R(x,y,w) * L(R(x,y,w) \ 1,z,u). [para(2515(a,1),4747(a,1,1))]. 4749 (((x * L(x \ 1,y,z)) * u) * w) / (u * w) = R(x,u,w) * L(R(x,u,w) \ 1,y,z). [para(2290(a,1),4748(a,1,1,1))]. 4750 R(x,y,z) * L(R(x,y,z) \ 1,u,w) = R(x * L(x \ 1,u,w),y,z). [hyper(621,a,4749,a),flip(a)]. 4752 L(T(x \ 1,y) * R(T(x \ 1,y) \ 1,z,u),x,z * u) = T(a(T(x,y),z,u),T(x \ 1,y)). [para(3986(a,1),4675(a,1,1)),flip(a)]. 4753 L(T(x \ 1,y) * R(T(x \ 1,y) \ 1,z,u),x,z * u) = T(a(T(x,y),z,u),x \ 1). [hyper(306,a,1484,a(flip),b,4752,a),flip(a)]. 4755 L(T(x \ 1,y) * R(T(x \ 1,y) \ 1,z,u),x,z * u) = a(T(x,y),z,u). [hyper(306,a,3392,a(flip),b,4753,a),flip(a)]. 4756 L(T(x \ 1,y) * R(T((x \ 1) \ 1,y),z,u),x,z * u) = a(T(x,y),z,u). [para(2071(a,2),4755(a,1,1,2,1))]. 4757 L(T(x \ 1,y) * R(T(x,y),z,u),x,z * u) = a(T(x,y),z,u). [para(326(a,1),4756(a,1,1,2,1,1))]. 4758 L(T(x \ R(x,y,z),u),x,y * z) = a(T(x,u),y,z). [para(2678(a,1),4757(a,1,1))]. 4759 T(a(x,y,y \ (y * z)),u) = a(T(x,u),y,z). [hyper(64,a,4079,a,b,4758,a)]. 4760 a(T(x,y),z,u) = T(a(x,z,u),y). [para(9(a,1),4759(a,1,1,3)),flip(a)]. 4761 (x * y) \ ((x * a(x,z,u)) * y) = R(a(T(x,x * y),z,u),x,y). [para(4760(a,2),3395(a,2,1))]. 4762 (x * y) \ ((x * a(x,z,u)) * y) = R(a(T(x,y),z,u),x,y). [para(414(a,1),4761(a,2,1,1))]. 4763 (x * y) * R(a(T(x,y),z,u),x,y) = (x * a(x,z,u)) * y. [hyper(135,a,4762,a)]. 4764 (x * y) * R(T(a(x,z,u),y),x,y) = (x * a(x,z,u)) * y. [para(4760(a,1),4763(a,1,2,1))]. 4765 (x * y) * R(T(a(x,z,u),y),x,y) = (a(x,z,u) * x) * y. [para(3394(a,2),4764(a,2,1))]. 4766 R(T(a(x,y,z),x * u),x,u) = R(T(a(x,y,z),u),x,u). [hyper(1308,a,4765,a)]. 4767 x * (y * R(T(a(x,z,u),y),x,y)) = (x * L(a(x,z,u),y,x)) * y. [para(4766(a,1),3427(a,1,2,2))]. 4768 (x * L(a(x,y,z),u,x)) * u = x * (R(a(x,y,z),x,u) * u). [para(229(a,1),4767(a,1,2)),flip(a)]. 4769 R(x,y,z) * (x * (u * L(u \ (x \ (x * (R(x,y,z) \ u))),w,v5))) = (R(x,y,z) * L(R(x,y,z) \ 1,w,v5)) * (x * u). [para(1419(a,1),2480(a,1,2))]. 4770 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(3304(a,1),3761(a,1,1,2,1,1)),flip(a)]. 4771 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(9(a,1),4770(a,2,1,2,1))]. 4773 (x * R(K(y,z),u,w)) * K(z,v5) = x * (R(K(y,z),u,w) * K(z,v5)). [para(3304(a,1),4771(a,1,1)),flip(a)]. 4774 (x * R(K(y,z),u,w)) * K(z,v5) = x * (K(z,v5) * R(K(y,z),u,w)). [hyper(306,a,360,a,b,4773,a),flip(a)]. 4775 x / (K(y,z) * R(K(z,u),w,v5)) = x * (K(z,y) * R(K(u,z),w,v5)). [hyper(64,a,3654,a,b,4774,a)]. 4776 (x * (K(y,z) * R(K(z,u),w,v5))) * (K(z,y) * R(K(u,z),w,v5)) = x. [hyper(260,a,4775,a),flip(a)]. 4777 (x * a(K(y,z),u,w)) * (K(y,z) * R(K(z,y),u,w)) = x. [para(3976(a,1),4776(a,1,1,2))]. 4778 (x * a(K(y,z),u,w)) * a(K(z,y),u,w) = x. [para(3976(a,1),4777(a,1,2))]. 4779 (T(x,x \ y) * a(K(z,u),w,v5)) \ ((x \ y) \ y) = a(K(u,z),w,v5). [hyper(118,a,107,a(flip),b,4778,a)]. 4780 R(x,y,z) * (x * (u * L(u \ (R(x,y,z) \ u),w,v5))) = (R(x,y,z) * L(R(x,y,z) \ 1,w,v5)) * (x * u). [para(9(a,1),4769(a,1,2,2,2,1,2))]. 4781 x * (R(x,y,z) * (u * L(u \ (R(x,y,z) \ u),w,v5))) = (R(x,y,z) * L(R(x,y,z) \ 1,w,v5)) * (x * u). [hyper(1453,a,4780,a)]. 4783 (R(x,y,z) * L(R(x,y,z) \ 1,u,w)) * (x * v5) = x * ((R(x,y,z) * L(R(x,y,z) \ 1,u,w)) * v5). [para(2478(a,1),4781(a,1,2)),flip(a)]. 4784 (R(x,y,z) * L(R(x,y,z) \ 1,u,w)) * (x * v5) = x * (R(x * L(x \ 1,u,w),y,z) * v5). [para(4750(a,1),4783(a,2,2,1))]. 4785 R(x * L(x \ 1,y,z),u,w) * (x * v5) = x * (R(x * L(x \ 1,y,z),u,w) * v5). [para(4750(a,1),4784(a,1,1))]. 4786 (L(x \ 1,x,y) * L(L(x \ 1,x,y) \ 1,z,u)) * y = L(x,z,u) * (x \ y). [para(506(a,1),2659(a,1,1,1)),flip(a)]. 4787 (L(x \ 1,x,y) * L(R(x,x \ 1,y \ 1),z,u)) * y = L(x,z,u) * (x \ y). [para(2574(a,2),4786(a,1,1,2,1))]. 4788 L(x \ L(x,y,z),x,u) * u = L(x,y,z) * (x \ u). [para(4741(a,1),4787(a,1,1))]. 4789 T((x / y) * L(y,z,u),x) = L(y,z,u) * (y \ x). [hyper(3620,a,4788,a)]. 4790 x / (L(y,z,u) * (y \ x)) = ((x / y) * L(y,z,u)) \ x. [hyper(196,a,4789,a(flip),b,403,a(flip))]. 4791 x / (L(y,z,u) * (y \ x)) = x \ ((x / L(y,z,u)) * y). [hyper(306,a,732,a(flip),b,4790,a),flip(a)]. 4792 R(L(x,y,z) \ x,L(x,y,z),x \ u) = u \ ((u / L(x,y,z)) * x). [hyper(64,a,1113,a,b,4791,a)]. 4793 L(L(x,y,z) \ x,L(x,y,z),x \ u) = u \ ((u / L(x,y,z)) * x). [hyper(64,a,4098,a,b,4792,a)]. 4794 L(L(x,y,z) \ x,L(x,y,z),x \ (z * (y * x))) = (z * (y * x)) \ ((z * y) * x). [para(186(a,1),4793(a,2,2,1))]. 4795 a(x,y,z) = L(L(z,y,x) \ z,L(z,y,x),z \ (x * (y * z))). [hyper(306,a,14,a,b,4794,a)]. 4796 L(L(x,y,z) \ x,L(x,y,z),x \ (z * (y * x))) != u | a(z,y,x) = u. [para(4794(a,2),1084(a,1))]. 4797 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(3699(a,1),4699(a,1,1))]. 4798 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(3699(a,1),4797(a,1,2,1,1)),flip(a)]. 4799 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(1992(a,1),4798(a,2,2,1))]. 4800 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(3707(a,1),4799(a,2,2))]. 4801 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(1901(a,1),4800(a,1,1,1)),flip(a)]. 4802 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(3707(a,1),4801(a,2,1,2))]. 4803 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(64,a,3984,a(flip),b,4802,a),flip(a)]. 4804 R(K(x \ 1,y) * K(y,R(x,z,u) \ 1),w,v5) = a(K(x,R(y,w,v5)),z,u). [hyper(306,a,3713,a(flip),b,4803,a),flip(a)]. 4805 a(K(x,R(y,z,u)),w,v5) = R(a(K(x,y),w,v5),z,u). [para(4072(a,1),4804(a,1,1)),flip(a)]. 4806 T(x,y * (((z \ u) \ 1) * T((u / z) * L((u / z) \ 1,w,v5),1))) = T(x,y * L((u / z) \ 1,w,v5)). [para(1076(a,1),4735(a,2,2,2))]. 4807 T(x,y * (((z \ u) \ 1) * T((u * L(u \ z,w,v5)) / z,1))) = T(x,y * L((u / z) \ 1,w,v5)). [para(2523(a,1),4806(a,1,2,2,2,1))]. 4808 T(x,y * (((z \ u) \ 1) * ((u * L(u \ z,w,v5)) / z))) = T(x,y * L((u / z) \ 1,w,v5)). [hyper(3337,a,4807,a)]. 4809 T(x,y * (((z \ u) \ 1) * (z \ (u * L(u \ z,w,v5))))) = T(x,y * L((u / z) \ 1,w,v5)). [hyper(3338,a,4808,a)]. 4810 T(x,y * L((z / u) \ 1,w,v5)) = T(x,y * L((u \ z) \ 1,w,v5)). [para(2521(a,1),4809(a,1,2,2)),flip(a)]. 4811 x / (T(K(y,z),u) * (((y \ 1) * x) * R(y,y \ 1,x))) = K(z,((y \ 1) * x) \ x) * K(((y \ 1) * x) \ x,(y \ 1) * x). [para(2981(a,2),3503(a,1,2,1))]. 4812 x / (T(K(y,z),u) * ((y \ x) * y)) = K(z,((y \ 1) * x) \ x) * K(((y \ 1) * x) \ x,(y \ 1) * x). [para(2202(a,1),4811(a,1,2,2))]. 4814 K(x,((y \ 1) * z) \ z) * K(((y \ 1) * z) \ z,(y \ 1) * z) = z / ((y \ z) * T(y,x)). [para(2798(a,1),4812(a,1,2)),flip(a)]. 4815 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(9(a,1),4814(a,2,2,1))]. 4816 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(4686(a,1),4815(a,1,1,2))]. 4817 T(K(x,y),z) * K(((y \ 1) * (y * u)) \ (y * u),(y \ 1) * (y * u)) = (y * u) / (u * T(y,x)). [para(3520(a,2),4816(a,1,1))]. 4819 T(K(x,y),z) * K(R(T(y,u),y \ 1,u * y),(y \ 1) * (y * u)) = (y * u) / (u * T(y,x)). [para(4686(a,1),4817(a,1,2,1))]. 4820 T(K(x,y),z) * K(R(T(y,u),y \ 1,u * y),L(u,y,y \ 1)) = (y * u) / (u * T(y,x)). [para(714(a,1),4819(a,1,2,2))]. 4821 T(K(x,y),z) * K(R(y,y \ 1,u * y),L(u,y,y \ 1)) = (y * u) / (u * T(y,x)). [para(1821(a,1),4820(a,1,2))]. 4823 (x * y) / (y * T(x,z)) = T(K(z,x),u) * K(x,y). [para(3296(a,1),4821(a,1,2)),flip(a)]. 4824 T(K(x,y) * K(y,z),u) = (y * z) / (z * T(y,x)). [hyper(306,a,3092,a,b,4823,a)]. 4826 T(K(x,y) * K(y,R(x,z,u)),w) = K(y * x,y * R(x,z,u)). [hyper(306,a,2699,a(flip),b,4824,a),flip(a)]. 4827 T(a(K(x,y),z * y,u),w) = K(x * y,x * R(y,z,u)). [para(3983(a,1),4826(a,1,1))]. 4828 K(x * y,x * R(y,z,u)) = a(K(x,y),z * y,u). [hyper(3541,a,4827,a),flip(a)]. 4829 R(K(x * y,x * R(y,z,u)),x * R(y,z,u),w) = a(K(x,y),z * y,u). [hyper(3176,a,4828,a)]. 4830 K(x,(x / y) * R(y,z,u)) = a(K(x / y,y),z * y,u). [para(12(a,1),4828(a,1,1))]. 4831 K(x,(y \ x) * R(y,z,u)) = a(K(x / y,y),z * y,u). [hyper(2149,a,4830,a)]. 4832 K(x,x * (y \ R(y,z,u))) = a(K(x / y,y),z * y,u). [hyper(4318,a,4831,a)]. 4833 K(x,x * (y \ R(y,z,u))) = a(K(x,y),z * y,u). [para(1885(a,1),4832(a,2,1))]. 4834 a(K(x,y),z * y,u) = K(x,y \ R(y,z,u)). [hyper(2026,a,4833,a),flip(a)]. 4835 R(a(K(x,y),z * y,u),R(y,z,u),z * u) = K(x,a(y,z,u)). [para(4834(a,2),3607(a,1,1))]. 4836 a(K(x,R(y,R(y,z,u),z * u)),z * y,u) = K(x,a(y,z,u)). [hyper(64,a,4805,a,b,4835,a)]. 4837 R(a(K(x,y),z * y,u),x * R(y,z,u),w) = a(K(x,y),z * y,u). [para(4828(a,1),4829(a,1,1))]. 4838 a(K(x,R(y,x * R(y,z,u),w)),z * y,u) = a(K(x,y),z * y,u). [hyper(64,a,4805,a,b,4837,a)]. 4839 a(K(x,R(y,R(y,z,u),w)),z * y,u) = a(K(x,y),z * y,u). [hyper(64,a,3715,a(flip),b,4838,a)]. 4840 a(K(x,y),z * y,u) = K(x,a(y,z,u)). [hyper(64,a,4836,a(flip),b,4839,a),flip(a)]. 4841 K(x,x * a(y,z,u)) = a(K(x,y),z * y,u). [hyper(306,a,1811,a,b,4840,a)]. 4843 K(x,x * a(y,z,u)) = a(K(x,y),z,u). [hyper(306,a,3994,a(flip),b,4841,a),flip(a)]. 4844 a(K(x,y),z,u) = a(y,z,K(x,u)). [hyper(64,a,4209,a(flip),b,4843,a),flip(a)]. 4845 (T(x,x \ y) * a(z,u,K(w,v5))) \ ((x \ y) \ y) = a(K(z,w),u,v5). [para(4844(a,1),4779(a,1,1,2))]. 4846 a(K(x,y),z,u) = a(x,z,K(u,y)). [hyper(64,a,4007,a(flip),b,4845,a),flip(a)]. 4847 a(x,y,K(z,u)) = a(u,y,K(x,z)). [hyper(64,a,4844,a(flip),b,4846,a),flip(a)]. 4848 a(x,y,K(z,x \ u)) = a(K(x,u),y,z). [hyper(64,a,3673,a(flip),b,4846,a),flip(a)]. 4849 a(x,y,K(z,L(u,w,x))) = a(K(x,u),y,z). [para(3223(a,1),4846(a,1,1)),flip(a)]. 4850 a(x,y,K(z,u * (w \ x))) = a(K(x,w \ u),y,z). [para(4314(a,1),4846(a,1,1)),flip(a)]. 4851 a(K(x,y),z,u) = a(u,z,K(y,x)). [hyper(306,a,4846,a,b,4847,a)]. 4852 a(x,y \ z,K(u,y)) = a(u,z,K(y,x)). [hyper(306,a,3940,a,b,4847,a)]. 4853 a(x,y,K(z,u)) = K(x,a(u,y,z)). [hyper(306,a,4207,a(flip),b,4847,a),flip(a)]. 4854 a(x \ 1,y,K(z,u)) = a(u,y,K(z,x)). [hyper(306,a,4015,a(flip),b,4847,a),flip(a)]. 4855 x / a(y,z,K(u,w)) = x * a(w,z,K(u,y)). [hyper(196,a,4847,a,b,4004,a)]. 4856 a(x,y,K(z,u \ w)) = a(z,y,K(x,w \ u)). [hyper(64,a,4016,a(flip),b,4847,a)]. 4857 a(x,y,K(z,u)) * w = w * a(z,y,K(u,x)). [hyper(120,a,4847,a(flip),b,3540,a)]. 4858 a((x * y) \ z,u,K(w,x)) = a(w,u,K(x,y \ z)). [para(3250(a,1),4847(a,1,3)),flip(a)]. 4859 a(x \ (y \ z),u,K(w,y)) = a(w,u,K(y,x \ z)). [para(3251(a,1),4847(a,1,3)),flip(a)]. 4860 x * a(y,z,K(u,w)) != v5 | a(w,z,K(y,u)) * x = v5. [para(4847(a,2),3543(a,1,2))]. 4861 K(x,y) * a(x,z,K(u,y)) = K(x,L(y,z,u)). [para(4847(a,1),3828(a,1,2))]. 4862 K(x,y) * a(y,z,K(x,u)) = K(x,L(y,z,u)). [para(4847(a,2),3828(a,1,2))]. 4863 a(x,x \ y,K(z,u)) != w | a(z,y,K(u,x)) = w. [para(4847(a,1),3953(a,1))]. 4864 K(x,y) * a(x,z,K(u,y)) != w | K(x,L(y,z,u)) = w. [para(4847(a,1),3877(a,1,2))]. 4865 K(x,y) * a(y,z,K(x,u)) != w | K(x,L(y,z,u)) = w. [para(4847(a,2),3877(a,1,2))]. 4866 a(x,y,K(z,u)) \ w = a(u,y,K(z,x)) * w. [para(4847(a,2),3999(a,1,1))]. 4869 a(K(x,y),z,u) = K(a(u,z,y),x). [hyper(306,a,4214,a(flip),b,4851,a),flip(a)]. 4871 x * a(x,y,K(z,u)) = T(x,a(u,y,z)). [hyper(121,a,4853,a,b,1935,a)]. 4872 x * a(x,y,K(z,u)) != w | T(x,a(u,y,z)) = w. [para(4853(a,2),1894(a,1,2))]. 4873 (x * y) * a(y,z,K(u,w)) != x * v5 | T(y,a(w,z,u)) = v5. [para(4853(a,2),2806(a,1,2))]. 4874 a(x,y,K(z,x \ u)) = a(x,y,K(z,u)). [hyper(306,a,4846,a(flip),b,4848,a),flip(a)]. 4875 a(x,y \ z,K(y,u)) = a(x,z,K(y,u)). [hyper(64,a,4847,a,b,4852,a)]. 4876 a(x,y,K(z,u)) != w | a(u,y,K(x,z)) = w. [para(4852(a,1),3953(a,1))]. 4877 K((((x \ 1) * y) * z) * (((y * z) \ 1) * x),u) = a(u,y,K(z,x)). [hyper(4255,a,4854,a)]. 4878 T(x,a(y \ 1,z,u)) = x * a(x,z,K(y,u)). [para(2072(a,1),4871(a,1,2,3)),flip(a)]. 4879 T(x,a(y,z,z)) = x * 1. [para(2811(a,1),4871(a,1,2)),flip(a)]. 4880 T(x,a(y,z,z)) = x. [hyper(306,a,8,a(flip),b,4879,a),flip(a)]. 4881 T(x,a(y,z,z)) != u | x = u. [para(4879(a,2),130(a,1))]. 4882 x / a(y,z,z) = a(y,z,z) \ x. [hyper(2757,a,4880,a),flip(a)]. 4883 a(x,y,y) * z = z * a(x,y,y). [hyper(1407,a,4880,a),flip(a)]. 4884 T(a(x,y,y),z) = a(x,y,y). [hyper(972,a,4880,a)]. 4885 a(x,y,y) * z != u * a(x,y,y) | u = z. [para(4880(a,1),232(a,1,2))]. 4887 x / a(y,z,z) != u | a(y,z,z) \ x = u. [para(4880(a,1),489(a,1))]. 4889 (x * (y * a(z,u,u))) \ (a(z,u,u) * (x * y)) = a(x,y,a(z,u,u)). [hyper(118,a,4883,a,b,81,a)]. 4890 (x * (y * a(z,u,u))) \ ((x * a(z,u,u)) * y) = a(x,a(z,u,u),y). [para(4883(a,1),14(a,2,1,2)),flip(a)]. 4892 a(x,y,K(z,x * u)) = a(x,y,K(z,u)). [para(9(a,1),4874(a,1,3,2)),flip(a)]. 4893 a(x,y,K(z \ u,L(w,z,u \ x))) = a(x,y,K(w,(u \ x) * z)). [para(3928(a,2),4874(a,1,3))]. 4894 a(x,y,K(x * (((x \ 1) / z) * u),w)) = a(x,y,K(w,((x \ 1) / u) * z)). [para(3523(a,2),4892(a,1,3))]. 4895 a(x,y,K(z,L(u,w,x))) = a(x,y,K(z,u)). [hyper(306,a,4846,a(flip),b,4849,a),flip(a)]. 4896 a(x,y,K(z,u \ w)) != v5 | a(z,y,K(x,w \ u)) = v5. [para(2843(a,1),4876(a,1,3))]. 4898 a(x,y,K(z,u)) != w | a(z,y,K(u,x)) = w. [para(4847(a,2),4876(a,1))]. 4899 a(K(x,y),z,u) != w | a(x,z,K(u,y)) = w. [para(4851(a,2),4876(a,1))]. 4900 a(x,y,K(z,(x * u) \ w)) = a(x,y,K(z,u \ (x \ w))). [para(293(a,1),4895(a,1,3,2))]. 4901 a(x,y,K(z,(x \ u) \ w)) = a(x,y,K(z,u \ (x * w))). [para(605(a,1),4895(a,1,3,2)),flip(a)]. 4903 K(x,L(y,z,u) \ y) != w | a(x,z,K(y,u)) = w. [para(4024(a,2),4898(a,1))]. 4906 ((x * y) * K(z,u)) \ (x * (y * K(z,u))) = a(u,y,K(z,x)). [hyper(674,a,4855,a)]. 4908 K(x \ y,z) * a(x \ y,u,K(w,z)) = K(L(z,u,w),y \ x). [hyper(306,a,2843,a(flip),b,4861,a),flip(a)]. 4909 K(x,y) * a(x,z,K(u \ w,y)) = K(x,L(y,z,(w \ u) \ 1)). [para(2840(a,1),4861(a,1,2,3))]. 4910 K(x,L(y,z \ u,z)) = K(x,y) * a(x,u,K(z,y)). [para(4875(a,1),4861(a,1,2)),flip(a)]. 4911 K(x,y) * a(y,z,K(u,x)) = K(x,L(y,z,u \ x)). [para(1909(a,1),4862(a,1,2,3))]. 4912 K(x,y \ ((y / z) * (u * z))) = K(x,T(u,z)) * a(T(u,z),z,K(x,z \ y)). [para(3142(a,1),4862(a,2,2)),flip(a)]. 4913 a(x,y,K(z,u)) \ w != v5 | w * a(u,y,K(z,x)) = v5. [para(4866(a,2),3542(a,1))]. 4914 T(x,a(y \ 1,z,u)) = T(x,a(u,z,y)). [hyper(306,a,4871,a(flip),b,4878,a),flip(a)]. 4915 T(x,a(y,y,z)) = x. [hyper(4881,a,4914,a),flip(a)]. 4916 x / a(y,y,z) = a(y,y,z) \ x. [hyper(2757,a,4915,a),flip(a)]. 4917 a(x,x,y) * z = z * a(x,x,y). [hyper(1407,a,4915,a),flip(a)]. 4918 T(a(x,x,y),z) = a(x,x,y). [hyper(972,a,4915,a)]. 4919 T(x,a(y,z \ 1,z)) = x. [hyper(64,a,4914,a(flip),b,4915,a)]. 4920 x / a(y,y,z) != u | a(y,y,z) \ x = u. [para(4915(a,1),489(a,1))]. 4921 x * a(y,y,z) != u | a(y,y,z) * x = u. [para(4915(a,1),818(a,1)),flip(a)]. 4922 T(x,a(y,z,z \ 1)) = x. [para(326(a,1),4919(a,1,2,2))]. 4923 x / a(y,z,z \ 1) = a(y,z,z \ 1) \ x. [hyper(2757,a,4922,a),flip(a)]. 4924 a(x,y,y \ 1) * z = z * a(x,y,y \ 1). [hyper(1407,a,4922,a),flip(a)]. 4925 T(a(x,y,y \ 1),z) = a(x,y,y \ 1). [hyper(972,a,4922,a)]. 4926 T(a(x,x,y) * z,u) = T(z,u) * a(x,x,y). [para(4918(a,1),4090(a,1,2)),flip(a)]. 4927 a(T(x,y),z,z \ 1) = a(x,z,z \ 1). [hyper(64,a,4760,a,b,4925,a)]. 4928 a(x,y,y \ 1) * (x * z) = x * (z * a(x,y,y \ 1)). [para(4925(a,1),4482(a,1,2,2)),flip(a)]. 4929 a(T((x \ 1) \ y,z),x \ 1,(x \ 1) \ 1) = a(x * y,x,x \ 1). [hyper(64,a,3751,a,b,4927,a)]. 4930 a(x * y,z,z \ 1) = a(y * x,z,z \ 1). [para(792(a,1),4927(a,1,1))]. 4931 a(R(x / y,z,u),w,w \ 1) = a(R(y \ x,z,u),w,w \ 1). [para(238(a,1),4927(a,1,1)),flip(a)]. 4932 x * ((a(y,z,z \ 1) * (u \ x)) \ x) = (x / a(y,z,z \ 1)) * T(u,x). [para(4924(a,2),408(a,1,2,1))]. 4933 T(a(x,x,y) * z,u) = a(x,x,y) * T(z,u). [hyper(306,a,4917,a,b,4926,a),flip(a)]. 4934 x * T(a(y,y,z) * (a(y,y,z) \ (x \ u)),u) = T(u,x * a(y,y,z)). [para(4933(a,2),1694(a,1,2))]. 4936 a(x,y,K(z,u * (w \ x))) != v5 | a(x,y,K(z,w \ u)) = v5. [para(4850(a,2),4899(a,1))]. 4937 K(x,L(y,z \ u,z)) = K(x,L(y,u,z)). [hyper(306,a,4861,a(flip),b,4910,a),flip(a)]. 4938 K(x,(y \ z) \ u) * a(x,z,K(y,(y \ z) \ u)) = K(x,z \ (y * u)). [para(605(a,1),4910(a,1,2)),flip(a)]. 4939 K(x,L(y \ (z \ u),u,z)) = K(x,(z * y) \ u). [hyper(4074,a,4937,a),flip(a)]. 4940 K(x \ y,L(z,y,x)) = K(x \ y,z). [hyper(3241,a,4937,a),flip(a)]. 4941 K(x,L((y \ z) \ u,z,y)) = K(x,z \ (y * u)). [para(605(a,1),4937(a,1,2)),flip(a)]. 4942 K(x \ y,L(z,y,x)) != u | K(z,y \ x) = u. [para(4940(a,2),2895(a,1))]. 4943 K(x,L(y \ T(z,u),u,z \ u)) = K(x,((z \ u) * y) \ u). [para(403(a,2),4939(a,1,2,1,2))]. 4944 K(x,L((y \ z) \ u,z,y)) = K(x,z \ (u * y)). [hyper(2264,a,4941,a(flip)),flip(a)]. 4945 K(x,L((y \ z) \ u,z,y)) != w | K(x,z \ (u * y)) = w. [para(4941(a,2),2264(a,1))]. 4946 K(x,L((y \ z) \ u,z,y)) != w | K(x,z \ (y * u)) = w. [para(4944(a,2),2264(a,1))]. 4947 K(L(x,y,z),L(u,w,y \ L(x,y,z))) = K(L(x,y,z),u) * a(u,w,K(y,x)). [para(3238(a,1),4911(a,1,2,3)),flip(a)]. 4948 K(x,y * (z \ u)) * a(x,w,K(u,z \ y)) != v5 | K(x,L(y * (z \ u),w,u)) = v5. [para(4314(a,1),4864(a,1,2,3))]. 4949 K(x,L(y,z \ u,z)) != w | K(x,L(y,u,z)) = w. [para(4910(a,2),4864(a,1))]. 4951 K(x,y) * a(y,z,K(u,x)) != w | K(x,L(y,z,u \ x)) = w. [para(1909(a,1),4865(a,1,2,3))]. 4952 K(x,y) * a(y,z,K(u,x)) != w | K(x,L(y,z,u \ 1)) = w. [para(2072(a,1),4865(a,1,2,3))]. 4953 a(x,y,K(z,u \ y)) != w | a(z,u,K(x,y \ u)) = w. [para(3885(a,2),4896(a,1))]. 4955 x * a(y,z,K(u,w)) != v5 | x * a(u,z,K(w,y)) = v5. [para(4001(a,1),4913(a,1))]. 4956 a(x,x \ y,K(z,y \ (x * u))) = K(z,(x * u) \ y) * K(u \ (x \ y),z). [hyper(64,a,4196,a(flip),b,4901,a),flip(a)]. 4957 (x \ y) * (z * a(x \ y,x,x \ 1)) = a(y,x,x \ 1) * ((x \ y) * z). [para(3733(a,1),4928(a,1,1)),flip(a)]. 4959 K((x \ y) * (z \ (u \ 1)),L(w,y,x)) != v5 | K(w,y \ (x * ((z \ 1) \ u))) = v5. [para(3856(a,2),4946(a,1))]. 4960 R(x,y,K(z,u)) = T(x,a(u,y,z)). [hyper(4873,a,3973,a),flip(a)]. 4961 L(x,y,K(z,u)) = T(x,a(u,y,z)). [hyper(64,a,4098,a,b,4960,a)]. 4962 x * a(x,y,K(z,u)) = L(x,y,K(z,u)). [hyper(306,a,4871,a,b,4961,a)]. 4963 K(x,L(y,z,K(u,w)) \ v5) = K(x,y \ v5). [para(4961(a,2),2951(a,1,2,1))]. 4964 x * a(y,z,K(u,x)) = L(x,z,K(y,u)). [hyper(4955,a,4962,a)]. 4966 K(x,y \ (z * K(u,w))) = K(x,(y \ z) * K(u,w)). [para(1646(a,1),4963(a,1,2)),flip(a)]. 4967 K(x,y \ (K(z,u) * w)) = K(x,(y \ w) * K(z,u)). [hyper(2264,a,4966,a)]. 4969 K(x,(y \ (z * u)) * K(w,L(v5,u,z))) = K(x,y \ (z * (u * K(w,v5)))). [para(3832(a,1),4966(a,1,2,2)),flip(a)]. 4972 K(x,(((K(y,z) * u) * w) \ v5) * K(y,L(z,u,w))) != v6 | K(x,(u * w) \ v5) = v6. [para(4967(a,1),4405(a,1))]. 4973 ((x * y) * K(z,u)) \ (x * (y * K(z,u))) = w \ (w * a(u,y,K(z,x))). [hyper(306,a,9,a,b,4906,a),flip(a)]. 4974 ((x * y) * K(z * u,z)) \ (x * (y * K(u,z))) = a(z,y,K(z * u,x)). [para(1884(a,1),4906(a,1,2,2,2))]. 4975 K(x,L(y \ z,u,z \ u)) = K(x,((z \ u) * y) \ u). [hyper(3958,a,4943,a)]. 4976 K(x,L(y \ z,u,z \ u)) = K(x,((u / z) * y) \ u). [hyper(306,a,4183,a,b,4975,a),flip(a)]. 4977 K(x,L(y \ z,u,z \ u)) = K(x,u \ ((u / y) * z)). [para(732(a,1),4976(a,2,2))]. 4978 K(x,L(y \ z,u,z \ u)) = K(x,u \ ((y \ u) * z)). [hyper(306,a,4066,a(flip),b,4977,a),flip(a)]. 4979 K(x,((y \ z) * u) \ z) = K(x,z \ ((u \ z) * y)). [hyper(64,a,4975,a(flip),b,4978,a)]. 4980 K(x,L(((y \ z) \ z) \ u,z,y \ z)) = K(x,((u \ z) * y) \ z). [hyper(306,a,4941,a,b,4979,a)]. 4981 K(x,L(y,z,u \ 1)) = K(x,L(y,z,u \ x)). [hyper(4952,a,4911,a)]. 4982 K(L(x,y,z),L(u,w,v5 \ L(x,y,z))) = K(x,L(L(u,w,v5 \ 1),y,z)). [hyper(3917,a,4981,a),flip(a)]. 4984 K(x,y \ z) * a(z \ y,u,K(w,x)) = K(L(x,u,w),y \ z). [para(2843(a,1),4908(a,1,1))]. 4985 K(x,L(y,z,(u \ w) \ 1)) = K(x,L(y,z,w \ u)). [hyper(4864,a,4909,a),flip(a)]. 4986 K(x,L(y,z,(u \ 1) \ (w \ 1))) = K(x,L(y,z,w \ u)). [hyper(64,a,4234,a,b,4985,a)]. 4987 K(x,L(y,z,(u / w) \ 1)) = K(x,L(y,z,u \ w)). [para(584(a,1),4986(a,1,2,3))]. 4988 K(x,y \ z) * a(z \ y,u,K(w,x)) = K(x,L(y \ z,u,w)). [hyper(306,a,3853,a(flip),b,4984,a),flip(a)]. 4989 K(x,L(y \ z,u,w)) * K(y \ z,x) = a(z \ y,u,K(w,x)). [hyper(2929,a,4988,a)]. 4990 K(x,L(y \ z,u,w)) * K(x,z \ y) = a(z \ y,u,K(w,x)). [para(2843(a,1),4989(a,1,2))]. 4991 K(x,y \ z) * K(x,L(z \ y,u,w)) = a(y \ z,u,K(w,x)). [hyper(373,a,4990,a)]. 4992 a(x,y,K(z \ u,L(w,z,u \ x))) = a(x,y,K(w,z * (u \ x))). [para(1953(a,1),4893(a,2,3))]. 4993 K(x,L(T(y,z) \ u,z,y \ z)) = K(x,((u \ z) * y) \ z). [para(403(a,2),4980(a,1,2,1,1))]. 4994 K(x,((y \ z) * u) \ z) != w | K(x,z \ ((u \ z) * y)) = w. [para(4980(a,1),4946(a,1))]. 4995 K(x,L(y \ z,u,y \ u)) = K(x,((z \ u) * y) \ u). [hyper(3959,a,4993,a)]. 4996 K(x,L(y \ z,u,y \ u)) = K(x,u \ ((y \ u) * z)). [hyper(306,a,4979,a(flip),b,4995,a),flip(a)]. 4997 K(L(x \ y,z,x \ z),u) = (w \ K(u,z \ ((x \ z) * y))) \ (w \ 1). [para(4996(a,1),4348(a,1,1,2)),flip(a)]. 4998 K(x,L(y \ z,u,y \ u)) != w | K(x,u \ ((y \ u) * z)) = w. [para(4995(a,2),4994(a,1))]. 4999 a(x,y,K(z \ u,L(w,z,u \ x))) != v5 | a(x,y,K(w,u \ z)) = v5. [para(4992(a,2),4936(a,1))]. 5001 a(T((x \ 1) \ y,z),x \ 1,(x \ 1) \ 1) = a(y,x,x \ 1). [hyper(306,a,3730,a(flip),b,4929,a),flip(a)]. 5002 a(T((x \ 1) \ y,z),x \ 1,x) = a(y,x,x \ 1). [hyper(4596,a,5001,a)]. 5003 a(T((x \ 1) \ y,z),x,x \ 1) = a(y,x,x \ 1). [hyper(2342,a,5002,a)]. 5004 a((x \ 1) \ y,x,x \ 1) = a(y,x,x \ 1). [hyper(4590,a,5003,a)]. 5005 (x \ ((x \ 1) \ y)) \ y = a(y,x,x \ 1). [hyper(64,a,3736,a(flip),b,5004,a)]. 5006 (x \ 1) \ ((x \ ((x \ 1) \ y)) \ y) = L(x,x \ 1,y \ 1). [para(5005(a,2),4572(a,1,2))]. 5007 T(x,y * a(z,z,u)) = y * T(y \ x,x). [para(10(a,1),4934(a,1,2,1)),flip(a)]. 5008 T(x,y * a(z,z,u)) = T(x,y). [hyper(306,a,973,a(flip),b,5007,a),flip(a)]. 5010 T(x,a(y,y,z) \ u) = T(x,u). [hyper(1530,a,5008,a),flip(a)]. 5011 T(x,a(y,y,z) * u) = T(x,u). [hyper(1529,a,5008,a)]. 5012 T(x,(y * y) * z) = T(x,y * (y * z)). [para(81(a,1),5008(a,1,2))]. 5013 T(x,y * ((z \ u) \ y)) = T(x,y * (y * (u \ z))). [hyper(4175,a,5012,a)]. 5014 T(x,(y * y) * (z * u)) = T(x,y * (y * (u * z))). [hyper(3006,a,5012,a)]. 5015 T(x,y * (((z \ 1) * u) \ y)) = T(x,y * (y * (z * (u \ 1)))). [hyper(4174,a,5014,a)]. 5016 T(x,((y \ 1) \ z) * ((u / y) \ 1)) = T(x,y * (y * (z * (u \ 1)))). [hyper(64,a,4324,a,b,5015,a)]. 5017 T(x,(y / z) \ ((z \ 1) \ u)) = T(x,z * (z * (u * (y \ 1)))). [hyper(3486,a,5016,a)]. 5018 T(x,((y \ 1) \ z) * (u \ y)) = T(x,y * (y * (z * (u \ 1)))). [hyper(64,a,4054,a(flip),b,5017,a)]. 5019 K(x,(y \ z) \ u) * a(x,z,K(y,z \ u)) = K(x,z \ (y * u)). [para(3249(a,1),4938(a,1,2,3))]. 5020 K(x,y \ (z * (u * K(w,v5)))) = K(x,(y \ (z * u)) * K(v6,v7)). [hyper(2035,a,4969,a),flip(a)]. 5021 K(x,y \ ((K(z,u) * w) * v5)) = K(x,(y \ (v5 * T(w,v5))) * K(v6,v7)). [hyper(64,a,4148,a(flip),b,5020,a)]. 5023 K(x,y \ ((K(z,u) * w) * v5)) = K(x,(y \ (w * v5)) * K(v6,v7)). [para(106(a,1),5021(a,2,2,1,2))]. 5025 K(x,(((K(y,z) * u) * w) \ (u * (w * v5))) * K(v6,v7)) = K(x,L(v5,w,K(y,z) * u)). [para(18(a,2),5023(a,1,2)),flip(a)]. 5026 ((x * y) * K(z,u)) \ (x * (y * K(z,u))) != w | a(u,y,K(z,x)) = w. [para(4973(a,2),286(a,1)),flip(b)]. 5027 ((x * y) * K(z,u)) \ (x * (y * K(z,u))) = w \ (w / a(x,y,K(z,u))). [para(4855(a,2),4973(a,2,2))]. 5028 ((x * y) * K(z,u)) \ (x * (y * K(z,u))) = a(u,y,K(u * z,x)). [para(1884(a,1),4974(a,1,1,2))]. 5029 a(x,y,K(x * z,u)) != w | a(x,y,K(z,u)) = w. [para(5028(a,1),5026(a,1))]. 5030 K(L(x \ y,z,x \ z),u) = K(z \ ((x \ z) * y),u). [hyper(306,a,4348,a(flip),b,4997,a),flip(a)]. 5031 K(L(x \ y,z,x \ z),u) = K(u,((x \ z) * y) \ z). [hyper(306,a,2843,a(flip),b,5030,a),flip(a)]. 5032 K(L(x \ y,z,x \ z),u) = K(u,z \ ((y \ z) * x)). [hyper(306,a,4979,a(flip),b,5031,a),flip(a)]. 5033 K(x \ y,L(z,u,x \ u)) = K(z,u \ ((y \ u) * x)). [hyper(3917,a,5032,a)]. 5034 (x * (y * K(z,u))) \ (x * (y * K(z,L(u,y,x)))) = w \ (w / a(x,y,K(z,L(u,y,x)))). [para(3832(a,1),5027(a,1,1))]. 5035 a(x,y,K(((x \ 1) / z) * u,w)) = a(x,y,K(w,((x \ 1) / u) * z)). [hyper(5029,a,4894,a)]. 5036 a(x,y,K(z * ((x \ 1) / u),w)) = a(x,y,K(w,((x \ 1) / z) * u)). [para(1819(a,1),5035(a,1,3))]. 5037 a(x,y,K(z * ((x \ 1) / u),w)) = a(x,y,K(w,u * (z \ (x \ 1)))). [para(2120(a,1),5036(a,2,3))]. 5038 a(x,y,K(z * (u \ (x \ 1)),w)) = a(x,y,K(w,u * (z \ (x \ 1)))). [para(1864(a,1),5037(a,1,3))]. 5039 (x / a(y,z,z \ 1)) * T(u,x) = u * (a(y,z,z \ 1) \ x). [hyper(672,a,4932,a),flip(a)]. 5040 (a(x,y,y \ 1) \ z) * T(u,z) = u * (a(x,y,y \ 1) \ z). [para(4923(a,1),5039(a,1,1))]. 5041 (x * (a(y,z,z \ 1) \ u)) \ ((a(y,z,z \ 1) \ u) * x) = K(u,x). [para(5040(a,1),2818(a,1,1))]. 5042 K(a(x,y,y \ 1) \ z,u) = K(z,u). [hyper(302,a,5041,a)]. 5043 K(x,y \ a(z,u,u \ 1)) = K(y,x). [hyper(2895,a,5042,a)]. 5044 K(x,L(y \ a(z,u,u \ 1),w,v5)) = K(y,L(x,w,v5)). [hyper(3917,a,5043,a)]. 5045 K(x \ a(y,z,z \ 1),u \ w) = K(x,w \ u). [hyper(2895,a,5043,a)]. 5046 K(x \ a(y,z,z \ 1),u \ w) != v5 | K(x,w \ u) = v5. [para(5045(a,1),1843(a,1))]. 5047 K(x \ y,L(z,y,x)) = K(z,y \ (a(u,w,w \ 1) * x)). [hyper(4945,a,5044,a),flip(a)]. 5048 K(x,y \ (a(z,u,u \ 1) * w)) = K(x,y \ w). [hyper(4942,a,5047,a),flip(a)]. 5049 K(x \ a(y,z,z \ 1),u \ w) = K(x,(a(v5,v6,v6 \ 1) * w) \ u). [hyper(5046,a,5048,a),flip(a)]. 5050 K(x,(a(y,z,z \ 1) * (u * w)) \ u) = K(w,L(x,u,a(y,z,z \ 1))). [hyper(3919,a,5048,a),flip(a)]. 5051 K(x \ y,L(z,x,a(y,u,u \ 1))) = K(z,L(y,u,u \ 1) \ x). [hyper(64,a,4380,a,b,5048,a)]. 5052 K(x,y \ ((z * u) * (u \ 1))) = K(x,y \ (z * (u * (u \ 1)))). [para(4240(a,1),5048(a,1,2,2))]. 5053 K(x,y \ (z * (u * (u \ 1)))) = K(x,y \ L(z,u,u \ 1)). [para(2131(a,1),5052(a,1,2,2)),flip(a)]. 5054 K(x,y \ L(z,u,u \ 1)) = K(x,y \ z). [para(70(a,1),5053(a,1,2,2)),flip(a)]. 5055 K(x * (((y * z) \ 1) * z),u) = K(u,x \ y). [hyper(64,a,3496,a,b,5054,a)]. 5056 K(x,y \ ((z \ 1) \ u)) = K(x,y \ (z * u)). [para(718(a,1),5054(a,1,2,2)),flip(a)]. 5058 K(x * (y \ (z \ 1)),u) = K(u,x \ (y * z)). [hyper(3498,a,5056,a)]. 5059 K(x,y \ (z * (u \ 1))) = K(y * (z \ u),x). [para(326(a,1),5058(a,1,1,2,2)),flip(a)]. 5060 a(x,y,K(z,u * (w \ (x \ 1)))) = a(x,y,K(z,w \ (u * x))). [para(5058(a,1),5038(a,1,3)),flip(a)]. 5061 K(x * ((y \ 1) * z),u) = K(x * (y \ z),u). [hyper(64,a,3491,a,b,5059,a)]. 5062 K(x * ((y \ 1) * z),u) = K((y \ z) * x,u). [hyper(306,a,1819,a,b,5061,a),flip(a)]. 5063 K(x * ((y * z) \ z),u) = K(u,x \ y). [hyper(64,a,5055,a(flip),b,5061,a),flip(a)]. 5064 K(x * (((y \ 1) * z) \ u),w) = K(x * (((z \ 1) * y) * u),w). [para(561(a,1),5061(a,1,1,2,1)),flip(a)]. 5065 K(x * (((y \ 1) \ z) \ u),w) = K(x * (((z \ 1) / y) * u),w). [para(569(a,1),5061(a,1,1,2,1)),flip(a)]. 5066 K(x * (y \ (z \ y)),u) = K(u,x \ z). [para(10(a,1),5063(a,1,1,2,1))]. 5067 K(((x * y) \ z) * (((z \ 1) * x) * y),u) = a(u,x,K(y,z)). [hyper(64,a,4877,a(flip),b,5062,a),flip(a)]. 5068 K(x * ((y \ 1) * z),u) != w | K(x * (y \ z),u) = w. [para(5062(a,2),1845(a,1))]. 5069 K(x,y \ (z * (u \ 1))) != w | K(y * (z \ u),x) = w. [para(3491(a,1),5068(a,1))]. 5071 K(x,(a(y,z,z \ 1) * u) \ w) != v5 | K(x,u \ w) = v5. [para(5049(a,1),5046(a,1))]. 5072 K(x,L(y,z,a(u,w,w \ 1))) = K(y,(z * x) \ z). [hyper(5071,a,5050,a),flip(a)]. 5073 K(x,L(y,z,a(u,w,w \ 1))) = K(y,z \ (z / x)). [para(320(a,1),5072(a,2,2))]. 5074 K(x,L(y,z,a(u,w,w \ 1))) = K(y,z \ (x \ z)). [hyper(306,a,2257,a(flip),b,5073,a),flip(a)]. 5075 K(x,L(y,z,a(u,w,w \ 1))) != v5 | K(x,y) = v5. [para(5074(a,2),2852(a,1))]. 5076 K(x,L(y,z,z \ 1) \ u) = K(u \ y,x). [hyper(5075,a,5051,a),flip(a)]. 5077 K(x,L(y,z,z \ 1) \ u) = K(x,y \ u). [hyper(306,a,2843,a(flip),b,5076,a),flip(a)]. 5078 K(x,((y \ 1) * z) \ u) = K(x,(y \ z) \ u). [para(719(a,1),5077(a,1,2,1))]. 5079 K(x,((y \ 1) \ z) \ u) = K(x,(y * z) \ u). [para(718(a,1),5077(a,1,2,1)),flip(a)]. 5080 K(x,y * ((z \ 1) * u)) = K(x,(u \ z) \ y). [hyper(64,a,3485,a(flip),b,5078,a)]. 5081 (x \ K(y * ((z \ 1) * u),w)) \ (x \ 1) = K(w,(u \ z) \ y). [hyper(64,a,4348,a,b,5080,a)]. 5082 K(x,(y \ ((z \ 1) \ u)) \ w) = K(x,w * (((u \ 1) / z) * y)). [para(569(a,1),5080(a,1,2,2,1)),flip(a)]. 5083 K(x,(y \ z) \ u) != w | K(x,u * ((z \ 1) * y)) = w. [para(5081(a,1),4349(a,1))]. 5084 (x \ K(y * (z \ u),w)) \ (x \ 1) = K(w,(u \ z) \ y). [para(5061(a,1),5081(a,1,1,2))]. 5086 K(x,(y \ z) \ u) = K(x,u * (z \ y)). [hyper(4349,a,5084,a),flip(a)]. 5087 K(x,(y \ z) \ u) != w | K(x,u * (z \ y)) = w. [para(5084(a,1),4349(a,1))]. 5088 K(x,y * ((z \ 1) * u)) = K(x,y * (z \ u)). [hyper(5083,a,5086,a)]. 5089 K(x,y * (z \ (u \ 1))) = K(x,(u * z) \ y). [hyper(64,a,5079,a(flip),b,5086,a),flip(a)]. 5090 K(x,y) * a(y,z,K(x,u * (w \ v5))) = K(x,L(y,z,(v5 \ w) \ u)). [para(5086(a,1),4862(a,1,2,3))]. 5091 K(x,y * (z \ u)) * a(x,z,K(u,z \ y)) = K(x,z \ (u * y)). [para(5086(a,1),5019(a,1,1))]. 5092 K(x,((y \ (z \ 1)) * u) \ w) = K(x,w * (u \ ((y \ 1) \ z))). [hyper(64,a,4185,a(flip),b,5088,a)]. 5093 K(x,y * (z \ ((u \ 1) \ w))) != v5 | K(x,(z * ((w \ 1) / u)) \ y) = v5. [para(5088(a,1),3526(a,1))]. 5094 a(x,y,K(z,(x * u) \ w)) = a(x,y,K(z,u \ (w * x))). [para(5089(a,1),5060(a,1,3))]. 5095 a(x,y,K(z,u \ (x \ w))) = a(x,y,K(z,u \ (w * x))). [hyper(64,a,4900,a(flip),b,5094,a)]. 5097 K(x,(y \ ((z \ 1) \ u)) \ w) = K(x,w * ((z \ (u \ 1)) * y)). [hyper(306,a,3083,a(flip),b,5082,a),flip(a)]. 5098 K(x,y * (((z \ 1) \ u) \ w)) = K(x,y * ((z \ (u \ 1)) * w)). [hyper(5087,a,5097,a)]. 5099 K(x,L(y,z,(u \ w) \ v5)) != v6 | K(x,L(y,z,v5 * (w \ u))) = v6. [para(5090(a,1),4865(a,1))]. 5100 (x \ y) * (a(x \ y,x,x \ 1) * R(a(x \ y,x,x \ 1) \ 1,z,u)) = a(y,x,x \ 1) * ((x \ y) * R(a(x \ y,x,x \ 1) \ 1,z,u)). [para(751(a,1),4957(a,1,2))]. 5102 K(x,y \ ((y / z) * (u * z))) = K(x,u) * a(T(u,z),z,K(x,z \ y)). [para(1937(a,1),4912(a,2,1))]. 5104 K(L(x,y,z),L(u,w,y \ L(x,y,z))) = K(x,L(u,y,z)) * a(u,w,K(y,x)). [para(3853(a,1),4947(a,2,1))]. 5105 a(x,x \ y,K(z,y \ (x * u))) = K(z,(x * u) \ y) * K(z,(x \ y) \ u). [para(2843(a,1),4956(a,2,2))]. 5106 K(x,L(y,z,u)) * a(y,w,K(z,x)) = K(x,L(L(y,w,z \ 1),z,u)). [hyper(64,a,4982,a(flip),b,5104,a),flip(a)]. 5107 a(x,y,K(z,u)) * K(x,L(z,u,w)) = K(x,L(L(z,y,u \ 1),u,w)). [hyper(4860,a,5106,a)]. 5108 K(x,(y * z) \ u) * K(x,(y \ u) \ z) = a(x,u,K(u \ (y * z),y)). [hyper(4863,a,5105,a),flip(a)]. 5109 K(x,(y * z) \ u) * K(x,(y \ u) \ z) = a(x,u,K(y,(y * z) \ u)). [hyper(306,a,4016,a(flip),b,5108,a),flip(a)]. 5110 K(x,(y * z) \ u) * K(x,(y \ u) \ z) = a(x,u,K(y,z \ u)). [para(3250(a,1),5109(a,2,3))]. 5111 K(x,(y * z) \ u) * K(x,z * (u \ y)) = a(x,u,K(y,z \ u)). [para(5086(a,1),5110(a,1,2))]. 5112 K(x,y * (z \ u)) * K(x,(u * y) \ z) = a(x,z,K(u,y \ z)). [hyper(373,a,5111,a)]. 5113 K(x,y * (z \ u)) * K(x,(u * y) \ z) = a(x,y,K(u,y \ z)). [hyper(306,a,3885,a(flip),b,5112,a),flip(a)]. 5114 K(x,y * (z \ u)) * K(z \ (u * y),x) = a(x,y,K(u,y \ z)). [para(2843(a,2),5113(a,1,2))]. 5115 K(x,y \ (z * u)) * a(x,u,K(z,u \ y)) = K(x,u * (y \ z)). [hyper(2920,a,5114,a)]. 5116 K(x,y \ (z * u)) * a(x,u,K(z,u \ y)) != w | K(x,u * (y \ z)) = w. [para(5114(a,1),2939(a,1,2)),flip(b)]. 5117 K(x,R(T(y,z * u),z,u)) * a(x,u,K(y * z,u \ (z * u))) = K(x,u * ((z * u) \ (y * z))). [para(745(a,1),5115(a,1,1,2))]. 5118 K(x,y \ (z * u)) * a((z * u) \ y,u,K(x,z)) = K(x,u * (y \ z)). [para(4858(a,2),5115(a,1,2))]. 5119 K(x,((y \ 1) \ z) \ (u * w)) * a(x,w,K(u,w \ (y * z))) = K(x,w * (((y \ 1) \ z) \ u)). [para(5056(a,1),5115(a,1,2,3))]. 5120 K(x,y \ (z * u)) * a(z \ 1,u,K(x,(z * u) \ y)) = K(x,u * (y \ z)). [para(4854(a,2),5118(a,1,2))]. 5121 K((x * y) \ z,u) * a(x \ 1,y,K(u,(x * y) \ z)) = K(u,y * (z \ x)). [para(2843(a,2),5120(a,1,1))]. 5122 K((x * y) \ z,L(u,y,x \ 1)) = K(u,y * (z \ x)). [hyper(3877,a,5121,a)]. 5123 K(x \ y,L(z,u,(x / u) \ 1)) = K(z,u * (y \ (x / u))). [para(12(a,1),5122(a,1,1,1))]. 5124 K(x \ y,L(z,u,x \ u)) = K(z,u * (y \ (x / u))). [hyper(64,a,4987,a(flip),b,5123,a)]. 5125 K(x,y \ ((z \ y) * u)) = K(x,y * (z \ (u / y))). [hyper(64,a,5033,a(flip),b,5124,a)]. 5126 K(x,y \ ((z \ y) * u)) = K(x,y * (z \ (y \ u))). [hyper(306,a,4370,a(flip),b,5125,a),flip(a)]. 5127 K(x \ y,L(z,x,y \ u)) = K(z,u * (y \ (u \ x))). [hyper(64,a,3928,a,b,5126,a)]. 5128 a(x,y,K(z \ u,L(w,z,u \ x))) = a(x,y,K(w,u \ (x \ z))). [para(5127(a,2),4892(a,1,3))]. 5129 a(x,y,K(z,u \ (x \ w))) = a(x,y,K(z,u \ w)). [hyper(4999,a,5128,a),flip(a)]. 5130 a(x,y,K(z,u \ (w * x))) = a(x,y,K(z,u \ w)). [hyper(64,a,5095,a(flip),b,5129,a)]. 5131 K(L(x,y,z),(z \ y) \ (u * w)) != v5 | K(x,y \ (z * ((u \ 1) \ w))) = v5. [para(5058(a,1),4959(a,1))]. 5132 K(L(x,y,z),(u * w) * (y \ z)) = K(x,y \ (z * ((u \ 1) \ w))). [hyper(5131,a,5086,a),flip(a)]. 5133 K(x,L((y * z) * (u \ w),u,w)) = K(x,u \ (w * ((y \ 1) \ z))). [hyper(3917,a,5132,a)]. 5134 K(x,L(y * (z \ u),z,u)) = K(x,z \ (u * y)). [hyper(4948,a,5091,a)]. 5135 K(x,y \ (z * ((u \ 1) \ w))) = K(x,y \ (z * (u * w))). [hyper(64,a,5133,a(flip),b,5134,a)]. 5136 K(x,y \ (z * ((u / w) \ 1))) = K(x,y \ (z * (w * (u \ 1)))). [para(584(a,1),5135(a,1,2,2,2))]. 5137 K(x,(y * z) \ ((y * (u \ 1)) * (u * z))) = K(x,a(y,u \ 1,(u \ 1) \ z)). [para(82(a,1),5135(a,1,2)),flip(a)]. 5138 K(x,y \ ((z \ K(z,(u \ 1) \ w)) * (u * w))) = K(x,y \ (((u \ 1) \ w) * (z \ 1))). [para(2078(a,1),5135(a,1,2,2)),flip(a)]. 5139 K(x,y \ (z * (u * (w \ 1)))) = K(y * (z \ (w / u)),x). [hyper(5069,a,5136,a),flip(a)]. 5140 K(x,y \ (z * (u * (w \ 1)))) = K(y * (z \ (u \ w)),x). [hyper(306,a,2741,a(flip),b,5139,a),flip(a)]. 5141 K(x,y \ ((z * (u \ 1)) * w)) = K(y * (w \ (z \ u)),x). [hyper(2264,a,5140,a)]. 5142 K(x,(y * z) \ ((y * (u \ 1)) * (u * z))) = a(x,u \ 1,K((u \ 1) \ z,y)). [hyper(306,a,4853,a,b,5137,a),flip(a)]. 5143 K(x,(y * z) \ ((y * (u \ 1)) * (u * z))) = a(x,u \ 1,K(u * z,y)). [para(3450(a,1),5142(a,2,3))]. 5144 K(x,L(y,z,K(u,w) * v5)) = K(x,(v5 * z) \ (v5 * (z * y))). [hyper(4972,a,5025,a),flip(a)]. 5145 K(x,L(y,z,K(u,w) * v5)) = K(x,L(y,z,v5)). [para(18(a,2),5144(a,2,2))]. 5146 ((K(x,y) * z) * u) * K(w,L(v5,u,z)) = (K(x,y) * z) * (u * K(w,v5)). [para(5145(a,1),3832(a,1,2))]. 5147 K(x,y \ ((z \ K(z,(u \ 1) \ w)) * (u * w))) = K(y * (((u \ 1) \ w) \ z),x). [hyper(306,a,5059,a(flip),b,5138,a),flip(a)]. 5148 K(x,y \ ((z \ K(z,(u \ 1) \ w)) * (u * w))) = K(y * (((w \ 1) / u) * z),x). [hyper(306,a,5065,a(flip),b,5147,a),flip(a)]. 5149 K(x,y \ ((z \ K(z,u * w)) * (u * w))) = K(y * (((w \ 1) / u) * z),x). [para(3482(a,1),5148(a,1,2,2,1,2))]. 5150 K(x * (((y \ 1) / z) * u),w) = K(w,x \ ((z * y) * (u \ 1))). [para(2078(a,1),5149(a,1,2,2)),flip(a)]. 5151 K(x * (((y \ 1) / z) * u),w) = K(x * ((z * y) \ u),w). [hyper(306,a,5059,a(flip),b,5150,a),flip(a)]. 5152 K(x * ((((y \ 1) * z) \ 1) \ u),w) = K(x * (((y \ 1) / (z \ 1)) * u),w). [para(561(a,2),5151(a,2,1,2,1)),flip(a)]. 5153 K(x * ((((y \ 1) \ 1) / T(z,y)) * u),w) = K(x * (((y \ 1) * z) \ u),w). [para(2065(a,1),5151(a,2,1,2,1))]. 5154 K((x \ K(x,((y \ 1) / z) * u)) * ((z * y) \ u),w) = K((((y \ 1) / z) * u) * (x \ 1),w). [para(2078(a,1),5151(a,1,1)),flip(a)]. 5155 K(x * ((((y \ 1) * z) \ 1) \ u),w) = K(x * (((z \ y) \ 1) * u),w). [para(558(a,1),5152(a,2,1,2,1))]. 5156 K(x * ((((y \ 1) * z) \ 1) \ u),w) = K(x * ((z \ y) \ u),w). [hyper(306,a,5061,a(flip),b,5155,a),flip(a)]. 5157 K(x * (((y \ 1) * z) \ u),w) = K(x * ((y \ z) \ u),w). [para(561(a,1),5156(a,1,1,2,1))]. 5158 K(x * (((y \ 1) * z) \ u),w) = K(x * ((y / T(z,y)) * u),w). [para(326(a,1),5153(a,1,1,2,1,1)),flip(a)]. 5159 K(x * (((y \ 1) * z) \ u),w) = K(x * ((z \ y) * u),w). [para(406(a,1),5158(a,2,1,2,1))]. 5160 K(x * ((y \ z) \ u),w) = K(x * ((z \ y) * u),w). [hyper(64,a,5157,a(flip),b,5159,a)]. 5161 K(x * (((y \ 1) * z) * u),w) = K(x * ((y \ z) * u),w). [hyper(64,a,5064,a(flip),b,5159,a)]. 5162 K(x * ((y \ (y / z)) * u),w) = K(x * (z \ u),w). [para(78(a,1),5160(a,1,1,2,1)),flip(a)]. 5163 K(((x * y) \ z) * ((z \ x) * y),u) = a(u,x,K(y,z)). [hyper(64,a,5067,a(flip),b,5161,a),flip(a)]. 5164 K(((x \ y) * z) * ((y * z) \ x),u) = a(u,y,K(z,x)). [hyper(1845,a,5163,a)]. 5165 K((((x * (y * z)) \ x) * y) * L(z,y,x),u) = a(u,x,K(y,x * (y * z))). [para(18(a,2),5164(a,1,1,2))]. 5166 K((x * y) * ((z * y) \ (z / x)),u) = a(u,z,K(y,z / x)). [para(78(a,1),5164(a,1,1,1,1))]. 5167 K((x * y) * ((z * y) \ (x \ z)),u) = a(u,z,K(y,z / x)). [hyper(64,a,2741,a(flip),b,5166,a)]. 5168 K(((x \ (x / (y * z))) * y) * L(z,y,x),u) = a(u,x,K(y,x * (y * z))). [para(320(a,1),5165(a,1,1,1,1))]. 5169 K(L(x,y,z) * ((z \ (z / (y * x))) * y),u) = a(u,z,K(y,z * (y * x))). [hyper(1845,a,5168,a)]. 5170 K(L(x,y,z) * ((y * x) \ y),u) = a(u,z,K(y,z * (y * x))). [hyper(64,a,5162,a(flip),b,5169,a)]. 5172 K(L(x,y,z) * (y \ (y / x)),u) = a(u,z,K(y,z * (y * x))). [para(320(a,1),5170(a,1,1,2))]. 5173 K(L(x,y,z) * (y \ (x \ y)),u) = a(u,z,K(y,z * (y * x))). [hyper(64,a,2741,a(flip),b,5172,a)]. 5174 K(x,L(y,z,u) \ y) = a(x,u,K(z,u * (z * y))). [hyper(64,a,5066,a(flip),b,5173,a)]. 5175 a(x,y,K(z,y * (z * u))) = a(x,z,K(u,y)). [hyper(4903,a,5174,a),flip(a)]. 5177 a(x,y,K(z,y * u)) = a(x,z,K(u,y)). [para(3942(a,1),5175(a,1,3))]. 5178 (x * (y * K(z,u))) \ (x * (y * K(z,L(u,y,x)))) = w \ (w / a(x,y,K(z,u))). [para(4895(a,1),5034(a,2,2,2))]. 5180 (x * (y * K(z,u))) \ (x * (y * K(z,L(u,y,x)))) = w \ (w * a(u,y,K(z,x))). [para(4855(a,1),5178(a,2,2))]. 5181 (x * (y * K(z,u))) \ (x * (y * K(z,L(u,y,x)))) != w | a(u,y,K(z,x)) = w. [para(5180(a,2),286(a,1)),flip(b)]. 5182 K((x \ K(x,((y \ 1) / z) * u)) * ((z * y) \ u),w) = K(w,(((y \ 1) / z) * u) \ x). [hyper(306,a,3445,a(flip),b,5154,a),flip(a)]. 5183 K((x \ K(x,((y \ 1) / z) * u)) * ((z * y) \ u),w) = K(w,((z \ (y \ 1)) * u) \ x). [hyper(306,a,4183,a(flip),b,5182,a),flip(a)]. 5184 K((x \ K(x,((y \ 1) / z) * u)) * ((z * y) \ u),w) = K(w,x * (u \ ((z \ 1) \ y))). [hyper(306,a,5092,a(flip),b,5183,a),flip(a)]. 5185 K((x \ K(x,y * (z \ (u \ 1)))) * ((z * u) \ y),w) = K(w,x * (y \ ((z \ 1) \ u))). [para(2120(a,1),5184(a,1,1,1,2))]. 5186 K((x \ K(x,(y * z) \ u)) * ((z * y) \ u),w) = K(w,x * (u \ ((z \ 1) \ y))). [para(5089(a,1),5185(a,1,1,1,2))]. 5187 K(((x * y) \ z) * (u \ K(u,(y * x) \ z)),w) = K(w,u * (z \ ((x \ 1) \ y))). [hyper(1845,a,5186,a)]. 5188 K(x,(y * z) \ (u * w)) * a(x,w,K(u,w \ (y * z))) = K(x,w * (((y \ 1) \ z) \ u)). [para(5079(a,1),5119(a,1,1))]. 5189 K(x,y * (((z \ 1) \ u) \ w)) = K(x,y * ((z * u) \ w)). [hyper(5116,a,5188,a),flip(a)]. 5190 K(x,y * ((z \ (u \ 1)) * w)) = K(x,y * ((z * u) \ w)). [hyper(64,a,5098,a(flip),b,5189,a)]. 5191 K(x,L(T(y,z * u),z,u)) * a(x,u,K(y * z,u \ (z * u))) = K(x,u * ((z * u) \ (y * z))). [para(3356(a,1),5117(a,1,1))]. 5192 K(x,L(y,z,u)) * a(x,u,K(y * z,u \ (z * u))) = K(x,u * ((z * u) \ (y * z))). [para(1952(a,1),5191(a,1,1))]. 5193 K(x,L(y,z,u)) * a(x,u,K(y * z,T(z,u))) = K(x,u * ((z * u) \ (y * z))). [para(22(a,2),5192(a,1,2,3,2))]. 5195 K(x,L(y,z,u)) * a(x,u,K(y * z,z)) = K(x,u * ((z * u) \ (y * z))). [para(1937(a,1),5193(a,1,2,3))]. 5196 K(x,L(y,z,u)) * a(x,u,K(y,z)) = K(x,u * ((z * u) \ (y * z))). [para(1887(a,1),5195(a,1,2,3))]. 5198 K(x,y * ((z * y) \ (u * z))) != w | a(x,y,K(u,z)) * K(x,L(u,z,y)) = w. [para(5196(a,1),373(a,1))]. 5199 L(a(x,K(y,z),u),x * (K(y,z) * u),K(z,(x * (y \ u)) \ (x * u))) = (x * u) \ (K(z,(x * u) / (x * (y \ u))) * ((x * K(y,z)) * u)). [hyper(3178,a,3399,a)]. 5200 L(a(x,K(y,z),u),x * (K(y,z) * u),K(L(z,u,x),T(y,w))) = (x * u) \ (K(z,(x * u) / (x * (y \ u))) * ((x * K(y,z)) * u)). [para(3867(a,2),5199(a,1,3))]. 5201 L(a(x,K(y,z),u),x * (K(y,z) * u),K(L(z,u,x),y)) = (x * u) \ (K(z,(x * u) / (x * (y \ u))) * ((x * K(y,z)) * u)). [hyper(3174,a,5200,a)]. 5202 L(a(x,K(y,z),u),x * (K(y,z) * u),K(z,L(y,u,x))) = (x * u) \ (K(z,(x * u) / (x * (y \ u))) * ((x * K(y,z)) * u)). [para(3853(a,1),5201(a,1,3))]. 5203 L(a(x,K(y,z),u),x * (K(y,z) * u),K(z,L(y,u,x))) = ((x * u) \ (K(z,(x * u) / (x * (y \ u))) * ((x * K(y,z)) * u))) / 1. [hyper(306,a,74,a,b,5202,a),flip(a)]. 5204 ((x * y) \ (K(z,(x * y) / (x * (u \ y))) * ((x * K(u,z)) * y))) / a(z,x * (K(u,z) * y),K(L(u,y,x),a(x,K(u,z),y))) = a(x,K(u,z),y). [hyper(119,a,5202,a(flip),b,4964,a)]. 5205 L(a(x,K(y,z),u),x * (K(y,z) * u),K(z,L(y,u,x))) = (x * u) \ (((x * K(y,z)) * u) * K(z,T((x * u) / (x * (y \ u)),w))). [para(1946(a,2),5202(a,2,2))]. 5206 ((x * y) * (y \ ((x * y) * z))) / (((x * y) * z) * T(x,y * z)) = ((x * y) * z) / ((y * z) * T(x,y * z)). [para(744(a,1),3689(a,1,2,1)),flip(a)]. 5207 ((x * y) * (y \ ((x * y) * z))) / (((x * y) * z) * T(x,y * z)) = ((x * y) * z) / (x * (y * z)). [para(106(a,1),5206(a,2,2))]. 5209 a(x,y,z) = ((x * y) * (y \ ((x * y) * z))) / (((x * y) * z) * T(x,y * z)). [hyper(306,a,4241,a,b,5207,a)]. 5210 a(x,y,z) = ((x * y) * (y \ ((x * y) * z))) / (x * ((x * y) * z)). [para(1552(a,1),5209(a,2,2))]. 5211 a(x,y,y \ ((x * y) * z)) = a(x,y,z). [hyper(306,a,4247,a(flip),b,5210,a)]. 5212 a(x,y,x * y) = a(x,y,y). [hyper(4595,a,5211,a)]. 5213 a(x,y,(x * y) \ z) = a(x,y,y \ z). [para(10(a,1),5211(a,1,3,2)),flip(a)]. 5215 a(T(x,y \ 1),y,y \ ((y * x) * z)) = a(T(x,y \ 1),y,z). [para(2054(a,1),5211(a,1,3,2,1))]. 5216 a(x,y,y \ (y * (T(x,y) * z))) = a(x,y,L(z,x,y)). [para(3128(a,1),5211(a,1,3,2))]. 5217 a(x,x \ y,x \ y) = a(x,x \ y,y). [para(10(a,1),5212(a,1,3)),flip(a)]. 5218 (x * ((y * x) \ z)) \ (y \ z) = a(y,x,x \ z). [hyper(64,a,4548,a,b,5213,a)]. 5219 a(x,y,L(y \ z,y,x)) = a(x,y,y \ (x * z)). [para(95(a,2),5213(a,1,3))]. 5220 a(x,y,R(x / z,z,y)) = a(z,y,y \ (x * y)). [hyper(64,a,4651,a(flip),b,5218,a)]. 5222 a(x,T(y,z),L(T(y,z) \ (y * z),T(y,z),x)) = a(x,T(y,z),y \ (x * (z * y))). [para(3002(a,1),5219(a,2,3))]. 5223 a(x,y,R(x / z,z,y)) = a(z,y,T(x,y)). [para(22(a,2),5220(a,2,3))]. 5224 a(x,y,(z * y) \ (x * y)) = a(z,y,T(x,y)). [hyper(4650,a,5223,a)]. 5225 a(x,y,(z * y) \ (x * y)) = a(z,y,x). [hyper(306,a,4299,a(flip),b,5224,a),flip(a)]. 5226 a(x,y,z \ (x * y)) = a(z / y,y,x). [para(12(a,1),5225(a,1,3,1))]. 5227 a(x,y,z \ (x * y)) = a(y \ z,y,x). [hyper(306,a,4577,a(flip),b,5226,a),flip(a)]. 5229 a(x \ ((x * y) / z),x,y) = a(y,x,z * K(y,x)). [para(3950(a,1),5227(a,1,3)),flip(a)]. 5230 a(x \ ((x * y) / z),x,y) = a(y,x,z). [hyper(306,a,4579,a(flip),b,5229,a),flip(a)]. 5231 a(x \ (y \ (x * z)),x,z) = a(z,x,y). [hyper(4621,a,5230,a)]. 5232 a(x,y,z) = z * R(z \ 1,y,x). [hyper(4667,a,5231,a),flip(a)]. 5233 x / ((x / R(y,z,u)) * y) = a(u,z,x / (x * y)). [hyper(64,a,4671,a(flip),b,5231,a)]. 5234 a(x \ (y \ z),x,x \ z) = a(x \ z,x,y). [para(10(a,1),5231(a,1,1,2,2))]. 5236 R(x * R(x \ 1,y,z),u,w) = a(z,y,R(x,u,w)). [hyper(306,a,4697,a(flip),b,5232,a)]. 5237 L(x * R(x \ 1,y,z),u,w) = a(z,y,L(x,u,w)). [hyper(306,a,4463,a(flip),b,5232,a)]. 5238 a(x,y,z \ 1) = z \ R(z,y,x). [hyper(306,a,1440,a(flip),b,5232,a),flip(a)]. 5239 x * L(x \ 1,x,y) = a(y,x,x). [para(938(a,1),5232(a,2,2)),flip(a)]. 5240 a(x,y,z \ 1) != u | z \ R(z,y,x) = u. [para(5232(a,2),1441(a,1))]. 5241 a(x,y,y * R(y \ 1,z,u)) = a(x,a(u,z,y),y). [para(5232(a,2),4406(a,1,2)),flip(a)]. 5242 L(x \ 1,x,y) = x \ a(y,x,x). [hyper(125,a,5239,a),flip(a)]. 5243 a(x,x \ 1,y) = a(y,x,x). [hyper(64,a,4560,a(flip),b,5239,a)]. 5245 a(x,x \ y,x \ y) = (x \ y) * (y \ x). [para(462(a,1),5239(a,1,2)),flip(a)]. 5246 R(x,y,a(z,x,x)) = x. [para(5239(a,1),4744(a,1,3))]. 5247 x * (R(x * L(x \ 1,x,y),z,u) * w) = R(a(y,x,x),z,u) * (x * w). [para(5239(a,1),4785(a,1,1,1)),flip(a)]. 5248 a(L(x,y,x * T(z,u)),z,z) = a(z,z \ 1,x). [hyper(4638,a,5243,a),flip(a)]. 5249 a(x \ 1,x,y) = a(y,x,x). [hyper(4608,a,5243,a)]. 5250 a(x \ 1,y,y \ 1) = a(x,y,y). [hyper(2283,a,5243,a)]. 5251 a(x \ 1,y,y) = a(x,y,y \ 1). [hyper(2280,a,5243,a),flip(a)]. 5252 a(x,x \ 1,y) = a(y,x,x) * 1. [hyper(306,a,8,a,b,5243,a),flip(a)]. 5253 ((x \ 1) * y) \ (x \ y) = a(y,x,x). [hyper(64,a,4496,a,b,5243,a)]. 5254 a(x \ y,y,y \ 1) = a(x,y,y). [hyper(64,a,4433,a,b,5243,a)]. 5255 a(x,y,y \ 1) \ 1 = a(x,y,y). [hyper(64,a,2355,a,b,5243,a)]. 5256 a(x,x \ 1,R(y \ z,u,w)) = a(R(z / y,u,w),x,x). [hyper(64,a,4620,a(flip),b,5243,a)]. 5257 a(x * y,x,x) = a(x,x \ 1,y). [hyper(64,a,4493,a(flip),b,5243,a),flip(a)]. 5258 a(x \ K(y,z),y,y) = a(x,y,y \ 1). [hyper(64,a,4366,a(flip),b,5243,a),flip(a)]. 5259 (x \ y) \ a(y,x,x) = (y \ 1) * x. [hyper(118,a,5243,a(flip),b,4498,a)]. 5260 a(x \ 1,y,y) != z | a(x,y,y \ 1) = z. [para(5243(a,1),2280(a,1))]. 5261 a(x,y,y \ 1) = a(x,y,y) \ 1. [para(5243(a,1),2338(a,1,1)),flip(a)]. 5262 x \ ((x \ 1) \ y) = y * a(y,x,x). [para(5243(a,1),4258(a,1,2)),flip(a)]. 5263 a(x,x \ 1,L(y,z,u)) = L(a(y,x,x),z,u). [para(5243(a,1),4475(a,2,1))]. 5264 a(x,x \ 1,R(y,z,u)) = R(a(y,x,x),z,u). [para(5243(a,1),4707(a,2,1))]. 5265 L(x,x \ 1,y \ 1) = a(y,x,x) \ x. [para(5250(a,1),4565(a,1,1)),flip(a)]. 5266 a(x,x \ 1,y) != z | a(y,x,x) = z. [para(5252(a,2),129(a,1)),flip(b)]. 5268 L(x,x \ 1,y \ x) = a(y,x,x) \ x. [para(5254(a,1),4565(a,1,1)),flip(a)]. 5269 a(x * y,x,x) = a(y,x,x). [hyper(306,a,5243,a(flip),b,5257,a),flip(a)]. 5270 (x * y) * a(x * y,x,x) = (x \ 1) \ y. [hyper(121,a,5257,a,b,4513,a)]. 5271 a(x \ y,x,x) = a(y,x,x). [para(10(a,1),5269(a,1,1)),flip(a)]. 5272 a(x,y,y \ 1) != z \ 1 | a(x,y,y) = z. [para(5261(a,2),49(a,1))]. 5273 a(x,y,y \ 1) != z | a(x \ 1,y,y) = z. [para(2279(a,1),5266(a,1))]. 5274 a(x \ 1,y,y \ 1) != z | a(x,y,y) = z. [para(2281(a,2),5266(a,1))]. 5275 a(x \ (y \ 1),y,y \ 1) != z | a(x,y,y) = z. [para(2656(a,2),5266(a,1))]. 5277 R(a(x,y,y \ 1),z,u) != w | a(R(x \ 1,z,u),y,y) = w. [para(4708(a,1),5266(a,1))]. 5278 a(x * y,x,x) != z | a(y,x,x) = z. [para(5257(a,2),5266(a,1))]. 5279 L(L(x,x \ 1,y \ 1),a(y,x,x),z) = (z * a(y,x,x)) \ (z * x). [para(5265(a,2),95(a,1,1))]. 5280 (x \ y) \ a(x,x \ y,y) = y \ x. [hyper(118,a,5217,a(flip),b,5245,a(flip))]. 5281 a(L(x,y,z),u,u) = L(a(x,u,u),y,z). [hyper(5266,a,5263,a)]. 5282 L(a(x,y,y),z,u) != w | a(L(x,z,u),y,y) = w. [para(5263(a,1),5266(a,1))]. 5283 (x * y) * a(L(z,y,x),u,u) = x * (y * a(z,u,u)). [hyper(121,a,5281,a,b,18,a(flip))]. 5284 a(R(x,y,z),u,u) = R(a(x,u,u),y,z). [hyper(5266,a,5264,a)]. 5285 a(L(x,y,x * T(z,u)),z,z) = a(x,z,z). [hyper(306,a,5243,a(flip),b,5248,a),flip(a)]. 5286 a(L(x,y,x * z),z,z) = a(x,z,z). [para(105(a,1),5285(a,1,1,3,2))]. 5287 L(a(x,y,y),z,x * y) = a(x,y,y). [hyper(64,a,5281,a(flip),b,5286,a)]. 5288 L(x,x,y) \ x = a(y,x,x). [hyper(2552,a,5287,a)]. 5289 a(x,y,y) \ y = L(y,y,x). [hyper(40,a,2555,a,b,5288,a)]. 5290 a(x,y,y) * L(y,y,x) = y. [hyper(120,a,5288,a(flip),b,835,a)]. 5291 L(x,x \ 1,y \ x) = L(x,x,y). [hyper(64,a,5268,a,b,5289,a)]. 5292 L(x,x \ 1,y \ 1) = L(x,x,y). [hyper(64,a,5265,a,b,5289,a)]. 5293 L(x,x,y) != z \ x | a(y,x,x) = z. [para(5289(a,1),49(a,1))]. 5295 L(L(x,x,y),a(y,x,x),z) = (z * a(y,x,x)) \ (z * x). [para(5289(a,1),95(a,1,1))]. 5296 (((x * y) / (x * a(z,y,y))) * x) * a(z,y,y) = x * (a(z,y,y) * R(L(y,y,z),x,a(z,y,y))). [para(5290(a,1),2493(a,1,1,1,1,2))]. 5297 (x \ 1) \ a(y,x,x \ 1) = L(x,x,y). [hyper(64,a,4572,a,b,5292,a)]. 5298 L(x \ 1,x \ 1,y) = L(x \ 1,x,y \ 1). [hyper(64,a,3157,a(flip),b,5292,a),flip(a)]. 5299 L(x,x \ 1,y) = L(x,x,y \ 1). [hyper(64,a,2560,a(flip),b,5292,a)]. 5300 L(x \ 1,x,y) = L(x,x,y) \ 1. [para(5292(a,1),1298(a,1,1)),flip(a)]. 5301 L((x \ 1) * R((x \ 1) \ 1,y,z),x,u) = L(x \ 1,x,u) * R(L(x,x,u),y,z). [para(5292(a,1),4466(a,1,2,1)),flip(a)]. 5302 R(x,x \ 1,y) = L(x,x,y \ 1). [hyper(64,a,4097,a,b,5299,a)]. 5303 L(x,x,y \ 1) \ y = (x \ 1) * y. [para(5299(a,1),923(a,1,1))]. 5304 L(x,x \ 1,y \ x) \ 1 = L(x \ 1,x,y). [para(5291(a,2),5300(a,2,1)),flip(a)]. 5305 (x \ 1) \ a(y,x,x) = L(x,x,y \ x). [para(5254(a,1),5297(a,1,2))]. 5306 L(x \ 1,x \ 1,y \ (x \ 1)) = x \ a(y,x \ 1,x \ 1). [para(326(a,1),5305(a,1,1)),flip(a)]. 5307 L(x \ 1,x,(y \ x) \ 1) = L(x \ 1,x,y). [hyper(64,a,1300,a,b,5304,a)]. 5308 x \ ((x / y) * R(y,x,z)) = a(z,x,x / (x * y)). [hyper(64,a,4540,a(flip),b,5233,a)]. 5309 a(x,y,R(z,u,w)) = R(a(x,y,z),u,w). [para(5232(a,2),5236(a,1,1)),flip(a)]. 5310 a(x,y,L(z,u,w)) = L(a(x,y,z),u,w). [para(5232(a,2),5237(a,1,1)),flip(a)]. 5312 (x * a(x,y,L(z,u,x))) * u = x * (R(a(x,y,z),x,u) * u). [para(5310(a,2),4768(a,1,1,2))]. 5313 a(x,a(y,z,u),u) = a(x,u,a(y,z,u)). [para(5232(a,2),5241(a,1,3)),flip(a)]. 5314 x \ ((x / y) * R(y,x,z)) = a(z,x,(x * y) \ x). [hyper(306,a,4302,a(flip),b,5308,a),flip(a)]. 5315 a(R(x,y,z),y,z) = a(z,y,(y * x) \ y). [hyper(4543,a,5314,a)]. 5316 a(R(x,y,z),y,z) = a(z,y,y \ (y / x)). [para(320(a,1),5315(a,2,3))]. 5317 a(R(x,y,z),y,z) = a(z,y,y \ (x \ y)). [hyper(306,a,4298,a(flip),b,5316,a),flip(a)]. 5318 a(x,y,T(x,y) * z) = a(x,y,L(z,x,y)). [para(9(a,1),5216(a,1,3))]. 5319 a(x,y,L(z,x,y)) = a(x,y,x * z). [hyper(4581,a,5318,a),flip(a)]. 5321 a(x,y,L(z,x,y)) != u | a(x,y,x * z) = u. [para(5318(a,1),4581(a,1))]. 5322 a(x,T(y,L(z,x,y)),L(z,x,y)) = a(x,y,x * z). [hyper(4607,a,5319,a)]. 5323 a(x,y,L(L(z,x,y),u,w)) = a(x,y,x * L(z,u,w)). [para(30(a,1),5319(a,1,3))]. 5324 a(x,y,x * (x \ (z \ (x * y)))) = a(x,y,(z * x) \ (x * y)). [para(3173(a,1),5319(a,1,3)),flip(a)]. 5325 a(T(x,y),z,L(u,x,z)) = T(a(x,z,x * u),y). [para(5319(a,1),4760(a,2,1))]. 5326 a(x,T(y,z),L(z,x,y)) != u | a(x,T(y,z),x * z) = u. [para(3562(a,1),5321(a,1,3))]. 5327 a(T(x,y),z,L(u,x,z)) = a(T(x,y),z,x * u). [hyper(306,a,4760,a,b,5325,a),flip(a)]. 5328 a(x,T(y,z),L(z,x,y)) = a(x,y,x * z). [para(3218(a,1),5322(a,1,2))]. 5330 L(a(x,y,L(z,x,y)),u,w) = a(x,y,x * L(z,u,w)). [hyper(64,a,5310,a(flip),b,5323,a)]. 5331 a(x,y,x * L(z,u,w)) = L(a(x,y,x * z),u,w). [para(5319(a,1),5330(a,1,1)),flip(a)]. 5332 a(x,y,L(x * z,u,w)) = a(x,y,x * L(z,u,w)). [hyper(306,a,5310,a,b,5331,a)]. 5333 a(x,y,L(x * (z \ 1),z,u)) = a(x,y,x * (z \ a(u,z,z))). [para(5242(a,1),5332(a,2,3,2))]. 5334 a(x,y,L(x * L(z,u,w),v5,v6)) = L(a(x,y,L(x * z,u,w)),v5,v6). [para(5332(a,2),5310(a,2,1))]. 5335 a(R(x / y,z,u),w,w) != v5 | a(R(y \ x,z,u),w,w) = v5. [para(5256(a,1),5266(a,1))]. 5336 L(L(x,a(y,x,x),z),x,y) = (z * a(y,x,x)) \ (z * x). [hyper(64,a,30,a,b,5295,a)]. 5337 a(x,T(y,z),x * z) = a(x,y,x * z). [hyper(5326,a,5328,a)]. 5338 K(x * a(y,z,z),x * z) * L(L(z,a(y,z,z),x),z,y) = (x * z) / (x * a(y,z,z)). [para(5336(a,2),1812(a,1,2))]. 5339 a(x,y,y \ ((y * x) * z)) = a(T(x,y \ 1),y,z). [hyper(4590,a,5215,a)]. 5340 a(x,y,y \ ((y * x) * z)) = a(x,y,z). [hyper(306,a,4573,a(flip),b,5339,a),flip(a)]. 5341 a(x,y,y \ ((y * x) * z)) != u | a(x,y,z) = u. [para(5339(a,2),4590(a,1))]. 5342 a(x,y,y \ (((y * x) * z) * x)) = a(x,y,z). [hyper(64,a,4375,a,b,5340,a)]. 5343 a(x,y,(y * x) \ z) = a(x,y,y \ z). [para(10(a,1),5340(a,1,3,2)),flip(a)]. 5344 a(x \ y,x,y \ z) = a(x \ y,x,x \ z). [para(10(a,1),5343(a,1,3,1))]. 5345 a(x,y,y \ (((y * x) * (z \ 1)) * x)) = z \ R(z,y,x). [hyper(306,a,5238,a(flip),b,5342,a),flip(a)]. 5346 a(x,y,y \ (((y * x) * z) * x)) = z * R(z \ 1,y,x). [hyper(306,a,5232,a(flip),b,5342,a),flip(a)]. 5347 a(x \ (y \ z),x,x \ z) = a(x \ (y \ z),x,y). [hyper(64,a,4270,a(flip),b,5344,a),flip(a)]. 5348 a(x,y,y \ (((y * x) * z) * x)) != u | a(x,y,z) = u. [para(4375(a,2),5341(a,1))]. 5349 a(x \ (y \ z),x,y) = a(x \ z,x,y). [hyper(64,a,5234,a(flip),b,5347,a),flip(a)]. 5350 a(x \ T(y,z),x,z) = a(x \ (y * z),x,z). [para(22(a,2),5349(a,1,1,2))]. 5351 a(x,x \ R(x,y,z),x \ (((x * (x \ R(x,y,z))) * (u \ 1)) * (x \ R(x,y,z)))) = u \ R(u,x,x \ R(x,y,z)). [hyper(4718,a,5345,a)]. 5352 L(x \ R(x,y,y \ R(y,z,u)),x,R(y,z,u)) = a(x,y,a(u,z,z \ (((z * u) * (y \ 1)) * u))). [para(5345(a,2),4075(a,2,3))]. 5353 a(x \ (y \ R(x,z,u)),x,a(u,z,z \ (((z * u) * (x \ 1)) * u))) = a(x \ R(x,z,u),x,y). [para(5345(a,2),5234(a,1,3))]. 5354 T(x * R(x \ 1,y,z),u) = a(z,y,y \ (((y * z) * T(x,u)) * z)). [hyper(306,a,2661,a(flip),b,5346,a)]. 5355 (x * a(x,y,L(z,u,x))) * u = x * (a(x,y,R(z,x,u)) * u). [para(5309(a,2),5312(a,2,2,1))]. 5356 a(x,y,x * (x \ (z \ (x * y)))) = a(y \ (z * x),y,x). [hyper(306,a,5227,a(flip),b,5324,a),flip(a)]. 5357 a(x,y,x * (x \ (z \ (x * y)))) = a(y \ T(z,x),y,x). [hyper(306,a,5350,a,b,5356,a),flip(a)]. 5358 a(x \ T(y,z),x,z) = a(z,x,y \ (z * x)). [para(10(a,1),5357(a,1,3)),flip(a)]. 5359 a(x \ T(y,z),x,z) = a(x \ y,x,z). [hyper(306,a,5227,a(flip),b,5358,a),flip(a)]. 5361 a(x \ (y * z),x,z) = a(x \ y,x,z). [hyper(64,a,5350,a(flip),b,5359,a)]. 5362 a(R(x,y,z),y,z) = a(y \ (y * x),y,z). [hyper(64,a,4615,a(flip),b,5361,a)]. 5363 a(R(x,y,z),y,z) = a(x,y,z). [para(9(a,1),5362(a,2,1))]. 5364 a(x,y,y \ (z \ y)) = a(z,y,x). [hyper(64,a,5317,a(flip),b,5363,a)]. 5365 a(x,y,L(z \ 1,z,y)) = a(z,y,x). [hyper(4598,a,5364,a)]. 5366 a(x,y,y \ 1) = a(y,y,x). [para(67(a,1),5364(a,1,3,2))]. 5367 a(x,x,y \ (x \ 1)) = a(y,x,x). [hyper(5275,a,5366,a),flip(a)]. 5368 a(x,x,y \ 1) = a(y,x,x). [hyper(5274,a,5366,a),flip(a)]. 5369 a(x \ 1,y,y) = a(y,y,x). [hyper(5273,a,5366,a)]. 5370 x \ L(x,y,y \ 1) = a(y,y,x). [hyper(2157,a,5366,a)]. 5371 1 \ a(x,y,y \ 1) = a(y,y,x). [hyper(118,a,5366,a,b,7,a)]. 5372 a(x * y,z,z \ 1) = a(z,z,y * x). [hyper(64,a,4930,a,b,5366,a)]. 5373 a(R(x \ y,z,u),w,w \ 1) = a(w,w,R(y / x,z,u)). [hyper(64,a,4931,a(flip),b,5366,a)]. 5374 a(T(x,y),T(x,y),z) = a(z,x,x \ 1). [hyper(64,a,3329,a(flip),b,5366,a),flip(a)]. 5375 (x * y) \ a(y,y,x) = y \ (x \ 1). [hyper(118,a,5366,a(flip),b,3769,a)]. 5376 L(x,x \ 1,y \ 1) = (x \ 1) \ a(x,x,y). [para(5366(a,1),4572(a,1,2)),flip(a)]. 5377 a(x,x,y) \ 1 = a(y,x,x). [para(5366(a,1),5255(a,1,1))]. 5378 x * a(x,y,y) = R(x,y,y). [hyper(121,a,5368,a(flip),b,5238,a(flip))]. 5379 a((x * y) \ (a(z,z,u) \ (x * y)),x,y) = R(a(u,z,z),x,y) * a(z,z,u). [para(5377(a,1),4664(a,2,1,1))]. 5380 x * a(x,y,y) = L(x,y,y). [hyper(306,a,4098,a,b,5378,a),flip(a)]. 5381 x \ ((x \ 1) \ y) = L(y,x,x). [hyper(64,a,5262,a,b,5380,a)]. 5382 L(x * y,x,x) = (x \ 1) \ y. [hyper(64,a,5270,a(flip),b,5380,a),flip(a)]. 5383 x * L(y,x,x) = (x \ 1) \ y. [hyper(121,a,5380,a(flip),b,5262,a)]. 5384 (x \ 1) \ (x \ y) = L(y,x,x). [hyper(64,a,2357,a,b,5381,a)]. 5385 L(x,y,y) * y = x / (y \ 1). [hyper(120,a,5381,a(flip),b,2058,a)]. 5386 L((x \ 1) * y,x,x) = x \ y. [para(9(a,1),5381(a,1,2)),flip(a)]. 5387 (x \ 1) \ (L(y,x,x) \ y) = L(x,x \ 1,y \ 1). [para(5381(a,1),5006(a,1,2,1))]. 5388 (x \ 1) \ (R(x,y,z) * (x \ u)) = L(R(x,y,z) * u,x,x). [para(1445(a,1),5382(a,1,1)),flip(a)]. 5389 L(L((x \ 1) * y,z,u),x,x) = L(x \ y,z,u). [hyper(35,a,1425,a(flip),b,5383,a),flip(a)]. 5390 L(x,y,y) \ (x / (y \ 1)) = y. [hyper(125,a,5385,a)]. 5391 L(L(x * (y \ 1),z,u),y,y) = L(x / y,z,u). [hyper(36,a,1424,a(flip),b,5385,a),flip(a)]. 5392 R((x \ 1) * y,x,x) = x \ y. [hyper(64,a,4097,a,b,5386,a)]. 5393 ((x \ 1) * y) * R(((x \ 1) * y) \ L((x \ 1) * y,x,x),z,u) = (((x \ 1) * y) \ 1) \ R(((x \ 1) * y) \ (x \ y),z,u). [para(5386(a,1),4446(a,1,2,1,2)),flip(a)]. 5394 x \ (((x \ 1) \ y) * L(x \ 1,z,u)) = R(y * L(x \ 1,z,u),x,x). [para(1088(a,1),5392(a,1,1)),flip(a)]. 5395 L(a(x,y,z \ 1),z,y) = a(z,y,x). [hyper(64,a,5310,a(flip),b,5365,a)]. 5396 a(x \ y,x,z) = a(z,x,y \ x). [para(462(a,1),5365(a,1,3)),flip(a)]. 5397 a(x \ (y \ x),x,z) = a(z,x,y). [hyper(306,a,4303,a(flip),b,5396,a),flip(a)]. 5398 a(x \ (x / y),x,z) = a(z,x,y). [para(78(a,1),5396(a,2,3))]. 5399 L(a(x \ (y \ x),x,z),u,w) = a(L(z,u,w),x,y). [hyper(64,a,5310,a(flip),b,5397,a)]. 5400 a(x \ y,y,y) = a(y,y,x). [hyper(64,a,5271,a(flip),b,5397,a)]. 5401 L(x,y,z) != a(y,z,u) | a(u,z,y \ 1) = x. [para(5395(a,1),51(a,1)),flip(a)]. 5402 a(x,y,y \ 1) != z | a(y,y,x) = z. [para(5374(a,1),3266(a,1))]. 5404 a(x \ K(y,z),y,y) != u | a(y,y,x) = u. [para(5258(a,2),5402(a,1))]. 5405 a(x,x,y * z) != u | a(x,x,z * y) = u. [para(5372(a,1),5402(a,1))]. 5407 L((x \ 1) * y,x,y) = x \ y. [hyper(42,a,3187,a(flip),b,5389,a),flip(a)]. 5408 L((x \ 1) * (x * (y / x)),x,y) = x \ (x * (y / x)). [hyper(3171,a,5407,a)]. 5409 L(x,y,y) \ x = a(y,y,x). [hyper(39,a,5376,a(flip),b,5387,a),flip(a)]. 5410 a(x,x,y) * L(y,x,x) = y. [hyper(120,a,5409,a(flip),b,835,a)]. 5411 a(L(x,y,z),u,w) = L(a(x,u,w),y,z). [para(5397(a,1),5399(a,1,1)),flip(a)]. 5412 a(L(x,y,z),u,w) = a(x,u,L(w,y,z)). [hyper(306,a,5310,a,b,5411,a),flip(a)]. 5414 L(a(x,y,z),u,x) = a(x,y,z). [para(757(a,1),5411(a,1,1)),flip(a)]. 5415 a(a(x,y,L(z,u,w)),v5,v6) = L(a(a(x,y,z),v5,v6),u,w). [para(5310(a,2),5411(a,1,1))]. 5416 a(x,x \ 1,a(x,y,z)) = 1. [hyper(117,a,5414,a,b,1103,a),flip(a)]. 5417 a(x,y,L(z,u,x)) = a(x,y,z). [hyper(64,a,5310,a,b,5414,a)]. 5419 (x \ 1) * a(x,y,z) = x \ a(x,y,z). [hyper(121,a,5414,a(flip),b,5384,a)]. 5420 (x * y) * a(x,z,u) != w | x * (y * a(x,z,u)) = w. [para(5414(a,1),285(a,1,2))]. 5422 a(x,x \ 1,a(y,z,x)) = 1. [para(5225(a,1),5416(a,1,3))]. 5423 (x \ a(y,z,x)) \ 1 = (a(y,z,x) \ 1) * x. [hyper(118,a,5422,a(flip),b,4498,a)]. 5425 a(x,y,(x * z) \ u) = a(x,y,z \ (x \ u)). [para(293(a,1),5417(a,1,3))]. 5426 a(x,y,z \ (x \ ((x * z) * u))) = a(x,y,u). [para(590(a,1),5417(a,1,3)),flip(a)]. 5427 a(x,y,R(z,u,x)) = a(x,y,z). [para(4097(a,2),5417(a,1,3))]. 5428 a(x,y,T(z / u,x * z)) = a(x,y,(u * x) \ (z * x)). [para(1554(a,1),5427(a,1,3)),flip(a)]. 5429 a(L(x,y,z),u,z) = a(x,u,z). [para(757(a,1),5412(a,2,3))]. 5430 a(x,y,L(z,u,R(x,w,v5))) = a(x,y,z). [para(765(a,1),5412(a,1,1)),flip(a)]. 5431 a(L(x,y,R(z,u,w)),v5,z) = a(x,v5,z). [para(765(a,1),5412(a,2,3))]. 5432 a(x,y,L(z,x,x * u)) = a(L(x,x,u),y,z). [para(2466(a,1),5412(a,1,1)),flip(a)]. 5433 a(L(x,y,z),u,w) = a(x,u,R(w,y,z)). [para(4097(a,2),5412(a,2,3))]. 5434 a((x \ 1) * y,z,x \ 1) = a(x \ y,z,x \ 1). [para(719(a,1),5429(a,1,1))]. 5435 a((x \ y) \ 1,z,y \ 1) = a(y \ x,z,y \ 1). [para(1299(a,1),5429(a,1,1))]. 5437 (x \ y) \ a(x \ y,x,x) = ((x \ y) \ 1) * a(y,x,x). [para(5271(a,1),5419(a,1,2)),flip(a)]. 5438 a((R(x,y,z) \ u) \ w,v5,x) = a(u \ (R(x,y,z) * w),v5,x). [para(605(a,1),5431(a,1,1)),flip(a)]. 5439 a(R((R(x,y,z) / u) \ 1,w,v5),v6,x) = a(R(u / R(x,y,z),w,v5),v6,x). [para(994(a,1),5431(a,1,1)),flip(a)]. 5440 a(R(x,y,z),u,w) = a(x,u,R(w,y,z)). [para(4097(a,2),5433(a,1,1))]. 5441 a(x,R(x,y,z),u) = a(x,x,R(u,y,z)). [hyper(2518,a,5440,a)]. 5442 a(R(x,y,z),u,w) = R(a(x,u,w),y,z). [hyper(306,a,5309,a(flip),b,5440,a),flip(a)]. 5443 a(R(x \ 1,y,z),u,u) = a(R(x,y,z),u,u \ 1). [hyper(5277,a,5442,a(flip))]. 5444 (x \ 1) * a(y,z,x) = x \ a(y,z,x). [hyper(572,a,5423,a)]. 5445 a(x,y,z) \ (a(x,y,z) / (z \ 1)) = z. [hyper(922,a,5444,a(flip))]. 5446 (x \ 1) \ a(y,z,x \ 1) != u | x * a(y,z,x \ 1) = u. [para(5444(a,1),673(a,1))]. 5447 a(R(x \ 1,a(y,z,x),u),a(y,z,x),u) = a(u,a(y,z,x),x). [para(5445(a,1),5316(a,2,3))]. 5448 a(x,x \ 1,(x * y) \ z) = a(x,x \ 1,y \ z). [hyper(306,a,4491,a(flip),b,5425,a),flip(a)]. 5449 a(x,y,(z * x) \ (x \ ((x * z) * u))) = a(x,y,L(x \ u,x,x * z)). [para(797(a,1),5425(a,1,3)),flip(a)]. 5450 a(x,y,L(z,x,x * u)) = a(x,y,L(z,x,u)). [hyper(306,a,5412,a(flip),b,5432,a),flip(a)]. 5451 a(x \ y,x \ 1,x \ 1) != z | a(y,x \ 1,x \ 1) = z. [para(5434(a,1),5278(a,1))]. 5452 a(x \ y,y \ 1,(y \ 1) \ 1) = a(y \ x,y \ 1,y \ 1). [hyper(5260,a,5435,a)]. 5453 a(R(x \ 1,y,z),u,u \ 1) = a(R(x,y,z),u,u). [para(326(a,1),5443(a,1,1,1)),flip(a)]. 5454 a(R(x \ 1,y,z),u,u) != w | a(u,u,R(x,y,z)) = w. [para(5443(a,2),5402(a,1))]. 5455 a(x,x \ 1,L(y,x,z)) = a(x,x \ 1,z \ (z * y)). [hyper(4503,a,5448,a)]. 5456 a(x,x,R(y \ 1,z,u)) = a(R(y,z,u),x,x). [hyper(5402,a,5453,a)]. 5457 L(x * (y \ 1),y,x) = y \ (y * (x / y)). [para(2055(a,1),5408(a,1,1))]. 5458 L(x * (y \ 1),y,x) = x / y. [hyper(2351,a,5457,a,b,2994,a)]. 5460 a(x,y,x * (z \ 1)) = a(x,y,x / z). [para(5458(a,1),5417(a,1,3)),flip(a)]. 5461 a(x,y,x * (z \ 1)) = a(x,y,z \ x). [hyper(306,a,4629,a(flip),b,5460,a),flip(a)]. 5462 (L(x,y,z) \ 1) \ ((L(x,y,z) \ x) * u) = x * (u * a(x,L(x,y,z) \ 1,u)). [hyper(5420,a,4645,a(flip)),flip(a)]. 5463 a(x,x \ 1,L(y,x,z)) = a(x,x \ 1,y). [para(9(a,1),5455(a,2,3))]. 5464 a(L(x,y,z),y,y) = a(y,y \ 1,x). [hyper(5266,a,5463,a)]. 5465 a(L(x,y,z),y,y) = a(x,y,y). [hyper(306,a,5243,a(flip),b,5464,a),flip(a)]. 5466 a(x,x,R(y / z,u,w)) = a(x,x,R(z \ y,u,w)). [hyper(5402,a,5373,a),flip(a)]. 5468 ((x \ y) \ 1) * a(y,x,x) = (x \ y) \ a(y,x,x). [para(5271(a,1),5437(a,1,2)),flip(a)]. 5469 ((x \ y) \ 1) * a(y,x,x) = (y \ 1) * x. [hyper(306,a,5259,a(flip),b,5468,a),flip(a)]. 5470 R(x,y,z) * ((x \ 1) \ (x \ u)) = L(R(x,y,z) * u,x,x). [hyper(64,a,3532,a(flip),b,5388,a)]. 5471 x * a(y,x,x \ 1) = L(x,x,y). [hyper(5446,a,5297,a)]. 5472 L(x,x,y \ x) = x * a(y,x,x). [para(5254(a,1),5471(a,1,2)),flip(a)]. 5473 x * a(x,x,y) = L(x,x,y). [para(5366(a,1),5471(a,1,2))]. 5474 x \ L(x,x,y) = a(x,x,y). [hyper(125,a,5473,a)]. 5475 L(T(x,a(x,x,y)),a(x,x,y),z) = (z * a(x,x,y)) \ (z * L(x,x,y)). [para(5473(a,1),224(a,1,2,2)),flip(a)]. 5476 (x * L(y,y,z \ y)) / L(a(z,y,y),y,x) = x * y. [para(5472(a,2),186(a,1,1,2))]. 5477 (x * L(y,y,z \ y)) / L(T(y,a(z,y,y)),a(z,y,y),x) = x * a(z,y,y). [para(5472(a,2),587(a,1,1,2))]. 5478 (x * L(y,y,z \ y)) / a(L(z,y,x),y,y) = x * y. [para(5281(a,2),5476(a,1,2))]. 5479 (x * L(y,y,z \ y)) / a(z,y,y) = x * y. [para(5465(a,1),5478(a,1,2))]. 5480 (x / y) * L(y,y,z \ y) = x * a(z,y,y). [hyper(308,a,5479,a),flip(a)]. 5482 (x * L(y,y,z \ y)) / y = x * a(z,y,y). [hyper(64,a,2457,a,b,5480,a)]. 5483 L(x,x,y \ x) * z = x * (z * a(y,x,x)). [para(5480(a,1),3894(a,1,2)),flip(a)]. 5484 (x * L(y,y,z \ y)) / u != x * a(z,y,y) | y = u. [para(5482(a,1),46(a,1)),flip(a)]. 5485 L(x \ 1,x \ 1,(y * x) \ (x \ 1)) * z = (x \ 1) * (z * a(x * y,x \ 1,x \ 1)). [para(4627(a,1),5483(a,2,2,2))]. 5486 L(R(x,y,z) * u,x,x) = R(x,y,z) * L(u,x,x). [para(5384(a,1),5470(a,1,2)),flip(a)]. 5487 x * (a(x,y,R(z,x,u)) * u) = (x * a(x,y,z)) * u. [para(5417(a,1),5355(a,1,1,2)),flip(a)]. 5488 x * (a(x,y,L(z,x,u)) * u) = (x * a(x,y,z)) * u. [para(4097(a,1),5487(a,1,2,1,3))]. 5490 a((R(x,y,z) \ u) \ K(R(x,y,z),w),v5,x) = a(u \ T(R(x,y,z),w),v5,x). [para(1892(a,2),5438(a,2,1,2))]. 5491 a(x \ 1,a(y,z,x),u) = a(u,a(y,z,x),x). [hyper(64,a,5363,a(flip),b,5447,a)]. 5492 a(x \ 1,a(y,z,x),u) = a(u,x,a(y,z,x)). [hyper(306,a,5313,a(flip),b,5491,a),flip(a)]. 5493 a(x \ y,x \ 1,x \ 1) = a(y \ x,x \ 1,x). [hyper(4596,a,5452,a),flip(a)]. 5494 a(x \ y,x \ 1,x \ 1) = a(y \ x,x,x \ 1). [hyper(306,a,2341,a(flip),b,5493,a),flip(a)]. 5495 a(x \ y,x \ 1,x \ 1) = a(y,x,x). [hyper(306,a,5254,a(flip),b,5494,a),flip(a)]. 5496 a(x,y \ 1,y \ 1) = a(x,y,y). [hyper(5451,a,5495,a)]. 5497 a(x,y \ 1,R(y \ 1,z,u)) = a(R(x,z,u),y,y). [hyper(64,a,5440,a(flip),b,5496,a)]. 5498 L(x \ 1,x \ 1,y \ (x \ 1)) = x \ a(y,x,x). [para(5496(a,1),5306(a,2,2))]. 5499 a(x,y \ 1,R(y \ 1,z,u)) = a(x,y,R(y,z,u)). [hyper(306,a,5440,a(flip),b,5497,a),flip(a)]. 5500 L(x \ 1,x \ 1,y \ (x \ 1)) = L(x \ 1,x,y). [hyper(306,a,5242,a,b,5498,a),flip(a)]. 5501 L(L(x,a(y,x,x),z),x \ 1,y \ 1) = (z * a(y,x,x)) \ (z * x). [hyper(64,a,30,a,b,5279,a)]. 5502 a(x,y,L(L(x * z,u,w),v5,v6)) = a(x,y,L(x * L(z,u,w),v5,v6)). [hyper(306,a,5310,a,b,5334,a)]. 5503 a(x,y,y \ (((y * x) * T(z,u)) * x)) = T(a(x,y,z),u). [para(5232(a,2),5354(a,1,1)),flip(a)]. 5504 a(x,y,T(z,u)) = T(a(x,y,z),u). [hyper(5348,a,5503,a)]. 5505 T(a(x,y,z),u) != w | a(x,y,T(z,u)) = w. [para(5503(a,1),5348(a,1))]. 5506 a(T(x,y),z,u) = a(x,z,T(u,y)). [hyper(306,a,4760,a,b,5504,a)]. 5508 a(x,y,T(y,z)) = a(x,y,y). [hyper(306,a,4884,a(flip),b,5504,a),flip(a)]. 5509 a(x,y,T(T(y,z),z)) = a(x,y,y). [para(4101(a,2),5508(a,1,3))]. 5510 a(x,y,T(L(z,x,y),u)) = a(T(x,u),y,x * z). [hyper(64,a,5327,a(flip),b,5506,a),flip(a)]. 5512 a(x,y,T(z,x * u)) = a(T(x,u),y,z). [para(414(a,1),5506(a,1,1)),flip(a)]. 5515 a(x \ y,z,T(u,x \ 1)) = a(y / x,z,u). [para(2066(a,1),5506(a,1,1)),flip(a)]. 5516 a(x,T(y,z),T(y,z)) = a(x,y,y). [hyper(64,a,3776,a,b,5509,a)]. 5518 a(x,T(y,z),R(T(y,z),u,w)) = a(R(x,u,w),y,y). [hyper(64,a,5440,a(flip),b,5516,a)]. 5520 a(T(x,y),z,u) != w | a(x,z,T(u,y)) = w. [para(4760(a,2),5505(a,1))]. 5521 a(x,y,T(z,x * u)) != w | a(x,y,T(z,u)) = w. [para(5512(a,2),5520(a,1))]. 5522 a(x,y,L(T(z,u),x,y)) = a(T(x,u),y,x * z). [para(25(a,2),5510(a,1,3))]. 5523 a(x,y,T(z / u,z)) = a(x,y,(u * x) \ (z * x)). [hyper(5521,a,5428,a)]. 5524 a(T(x,y),z,x * u) = a(x,z,x * T(u,y)). [hyper(5321,a,5522,a),flip(a)]. 5525 a(x,y,x * T(z,u)) != w | a(x,y,T(x * z,u)) = w. [para(5524(a,1),5520(a,1))]. 5526 a(x,T(y,z),R(T(y,z),u,w)) = a(x,y,R(y,u,w)). [hyper(306,a,5440,a(flip),b,5518,a),flip(a)]. 5527 a(x,y,(z * x) \ (u * x)) = a(x,y,z \ u). [para(400(a,1),5523(a,1,3)),flip(a)]. 5528 a(T(x,y),y,R(y,z,u)) = a(x,T(y,w),R(T(y,w),z,u)). [hyper(4586,a,5526,a),flip(a)]. 5530 a(x,T(y,z),R(T(y,z),u,w)) != v5 | a(x,y,R(y,u,w)) = v5. [para(5528(a,1),4585(a,1))]. 5531 a(R(x,y,z),u,u) != w | a(x,u,R(u,y,z)) = w. [para(5518(a,1),5530(a,1))]. 5532 L(L(x,a(y,x,x),z),x \ 1,y \ 1) = (z * a(x,x \ 1,y)) \ (z * x). [para(5243(a,2),5501(a,2,1,2))]. 5533 (x \ ((x \ 1) \ y)) * L(x \ 1,z,u) = R(y * L(x \ 1,z,u),x,x). [hyper(64,a,2364,a(flip),b,5394,a)]. 5534 a(x,y,(z * x) \ (x \ ((x * z) * u))) = a(x,y,L(x \ u,x,z)). [hyper(306,a,5450,a(flip),b,5449,a),flip(a)]. 5535 (x * a(y,y,z)) \ (x * L(y,y,z)) = L(y,a(y,y,z),x). [para(3393(a,1),5475(a,1,1)),flip(a)]. 5536 R(x * L(y \ 1,z,u),y,y) = L(x,y,y) * L(y \ 1,z,u). [para(5381(a,1),5533(a,1,1)),flip(a)]. 5537 L(x * L(y \ 1,z,u),y,y) = L(x,y,y) * L(y \ 1,z,u). [hyper(64,a,4098,a,b,5536,a)]. 5538 a(x,y,L(x,z,z) * L(z \ 1,u,w)) = a(x,y,x * L(L(z \ 1,u,w),z,z)). [para(5537(a,1),5332(a,1,3))]. 5539 x * (R(x * L(x \ 1,x,y),z,u) * w) = a(y,x,R(x,z,u)) * (x * w). [para(5309(a,2),5247(a,2,1))]. 5540 a(R((R(x,y,z) / u) \ 1,w,v5),x,x) = a(R(R(x,y,z) \ u,w,v5),x,x). [hyper(5335,a,5439,a(flip)),flip(a)]. 5541 L(L(x,a(x,x \ 1,y),z),x \ 1,y \ 1) = (z * a(x,x \ 1,y)) \ (z * x). [para(5243(a,2),5532(a,1,1,2))]. 5542 a(x,y,R(y,z,u)) * (y * w) = y * (R(a(x,y,y),z,u) * w). [para(5239(a,1),5539(a,1,2,1,1)),flip(a)]. 5543 a(x,y,R(y,z,u)) * (y * w) = y * (a(x,y,R(y,z,u)) * w). [para(5309(a,2),5542(a,2,2,1))]. 5544 a(R(R(x,y,z) \ u,w,v5),x,x) = a(x,x,R(R(x,y,z) / u,w,v5)). [hyper(5454,a,5540,a),flip(a)]. 5545 a(R(R(x,y,z) \ u,w,v5),x,x) = a(x,x,R(u \ R(x,y,z),w,v5)). [hyper(306,a,5466,a(flip),b,5544,a),flip(a)]. 5546 a(x,x,R(y \ R(x,z,u),w,v5)) != v6 | a(R(x,z,u) \ y,x,R(x,w,v5)) = v6. [para(5545(a,1),5531(a,1))]. 5547 a((x * y) \ (a(z,z,u) \ (x * y)),x,y) = a(u,z,R(z,x,y)) * a(z,z,u). [para(5309(a,2),5379(a,2,1))]. 5548 (x * L(y,y,z \ y)) / L(y,a(z,y,y),x) = x * a(z,y,y). [para(2553(a,1),5477(a,1,2,1))]. 5549 L(x,a(y,x,x),z) = x. [hyper(5484,a,5548,a),flip(a)]. 5550 R(x,a(y,x,x),z) = x. [hyper(64,a,4097,a,b,5549,a)]. 5551 L(x,a(x,x,y),z) = x. [para(5230(a,1),5549(a,1,2))]. 5552 R(x,a(y,x,x \ 1),z) = x. [para(5251(a,1),5550(a,1,2))]. 5553 (x * a(y,y,z)) \ (x * L(y,y,z)) = y. [hyper(64,a,5535,a,b,5551,a)]. 5554 a(L(x,a(y,y,z),u),w,y) = a(x,w,y). [para(5551(a,1),5412(a,2,3))]. 5555 a(x,y,y \ 1) * (y \ z) = L(y,y \ 1,x) \ z. [para(5552(a,1),4641(a,1,1,1)),flip(a)]. 5556 (x / y) * L(y,y,z) = x * a(y,y,z). [hyper(2464,a,5553,a)]. 5558 (x * a(y,y,z)) * a(u,y,y) = x * (a(y,y,z) * a(u,y,y)). [para(5554(a,1),5283(a,1,2))]. 5559 L(x,x \ 1,y \ 1) \ z = a(y,x,x) * (x \ z). [para(5250(a,1),5555(a,1,1)),flip(a)]. 5560 L(x,x \ 1,y \ 1) * z = x * (a(y,x,x) \ z). [hyper(665,a,5559,a)]. 5561 L(x,x \ 1,y \ 1) \ z = (x \ z) * a(y,x,x). [hyper(306,a,4883,a(flip),b,5559,a),flip(a)]. 5562 x * (a(y,x,x) \ z) = L(x,x,y) * z. [para(5292(a,1),5560(a,1,1)),flip(a)]. 5563 (x / y) * L(y,y,z) = a(z,y,y) \ x. [hyper(35,a,3894,a,b,5562,a)]. 5564 L(x,x,y) * (x \ z) = a(y,x,x) \ z. [hyper(35,a,1596,a,b,5562,a)]. 5565 a(x,y,y) \ z = z * a(y,y,x). [hyper(64,a,5556,a(flip),b,5563,a),flip(a)]. 5566 a(x,y,y) * (z * a(y,y,x)) = z. [hyper(121,a,5556,a(flip),b,5563,a(flip))]. 5567 x \ (a(y,z,z) \ x) = a(z,z,y). [hyper(118,a,5563,a(flip),b,5556,a(flip))]. 5568 x / a(y,y,z) = a(z,y,y) * x. [hyper(667,a,5565,a),flip(a)]. 5569 a(x,y,y) \ z = a(y,y,x) * z. [hyper(306,a,4917,a,b,5565,a),flip(a)]. 5570 (x * a(y,z,z)) * a(z,z,y) = x. [hyper(4885,a,5566,a),flip(a)]. 5573 a(a(x,y,y),z,u) = a(u,z,a(y,y,x)). [para(5567(a,1),5364(a,1,3)),flip(a)]. 5574 a(x,x,y) \ z = a(y,x,x) * z. [hyper(4920,a,5568,a)]. 5575 a(x,y,y \ 1) * z = a(x,y,y) \ z. [para(5366(a,2),5569(a,2,1)),flip(a)]. 5576 a(x,x,y) \ z = z * a(y,x,x). [hyper(118,a,5570,a(flip),b,4917,a)]. 5577 (x * y) / (x * (y * a(z,u,u))) = a(u,u,L(z,y,x)). [hyper(196,a,5283,a(flip),b,5576,a)]. 5578 a(x,y,y \ 1) \ z = z * a(x,y,y). [para(5366(a,2),5576(a,1,1))]. 5579 x \ (a(y,x,x) * z) = L(x,x,y) \ z. [hyper(118,a,9,a(flip),b,5564,a),flip(a)]. 5580 (L(x,x,y) \ z) / (x \ z) = a(y,x,x). [hyper(1606,a,5564,a(flip))]. 5581 a(a(x,y,y),z,z \ u) = a(a(y,y,x),z,u \ z). [hyper(306,a,5396,a(flip),b,5573,a),flip(a)]. 5582 L(x,L(y,y,z),y \ (a(z,y,y) * 1)) = (L(y,y,z) \ 1) * (L(y,y,z) * x). [para(5579(a,2),714(a,2,3)),flip(a)]. 5583 (x \ 1) \ (a(y \ x,x \ 1,x \ 1) * z) = L(x \ 1,x \ 1,x / y) \ z. [para(3141(a,2),5579(a,2,1))]. 5584 L(x,x,y \ 1) \ z = a(x,x,y) * (x \ z). [hyper(120,a,5369,a(flip),b,5580,a),flip(a)]. 5585 a(x \ 1,x \ 1,y) * (z / (x \ K(z,x))) = L(x \ 1,x \ 1,y \ 1) \ z. [para(2102(a,2),5584(a,2,2)),flip(a)]. 5586 (x \ y) * a(z,x,x) = L(x,x,z) \ y. [para(5292(a,1),5561(a,1,1)),flip(a)]. 5587 (L(x,x,y) \ z) * a(x,x,y) = x \ z. [para(5586(a,1),5570(a,1,1))]. 5588 (x * y) / (x * L(y,z,z)) = a(z,z,L(y,y,x)). [para(5380(a,1),5577(a,1,2,2))]. 5589 (R(x,y,z) * u) / (R(x,y,z) * L(u,x,x)) = a(x,x,u). [hyper(306,a,5430,a(flip),b,5588,a),flip(a)]. 5590 (R(x,y,z) * u) / L(R(x,y,z) * u,x,x) = a(x,x,u). [para(5486(a,2),5589(a,1,2))]. 5591 L(R(x,y,z) * u,x,x) \ (R(x,y,z) * u) = a(x,x,u). [hyper(929,a,5590,a)]. 5592 a(x,x,R(x,y,z) * u) = a(x,x,u). [hyper(64,a,5409,a(flip),b,5591,a)]. 5593 a(x,x,R(x,y,z) \ u) = a(x,x,u). [para(10(a,1),5592(a,1,3)),flip(a)]. 5594 a(x,x,(x \ y) * z) = a(x,x,y * z). [para(618(a,1),5593(a,1,3))]. 5595 a(x,x,y * (x \ z)) = a(x,x,z * y). [hyper(5405,a,5594,a)]. 5596 a(x,a(y,y,z),a(u,y,y)) = 1. [hyper(117,a,5558,a(flip),b,81,a),flip(a)]. 5597 a(x,a(y,y,z),a(y,y,u)) = 1. [para(5230(a,1),5596(a,1,3))]. 5598 a((R(x,y,z) \ u) \ K(x,L(w,y,z)),v5,x) = a(u \ T(R(x,y,z),w),v5,x). [para(3852(a,1),5490(a,1,1,2))]. 5599 a((x * y) \ (a(z,u,u) * (x * y)),x,y) = a(z,u,R(u,x,y)) * a(u,u,z). [para(5574(a,1),5547(a,1,1,2))]. 5600 L(x,L(y,y,z),y \ (a(z,y,y) * 1)) = L(y \ 1,y,z) * (L(y,y,z) * x). [para(5300(a,2),5582(a,2,1))]. 5601 a(x \ T(R(y,z,u),w),y,y) = a(y,y,R(y,z,u) \ x). [hyper(5404,a,5598,a),flip(a)]. 5602 a(x \ R(y,z,u),y,y) = a(y,y,R(y,z,u) \ x). [para(105(a,1),5601(a,1,1,2))]. 5603 a(x \ R(y,z,u),y,y) = a(y,y,x). [hyper(306,a,5593,a(flip),b,5602,a),flip(a)]. 5605 a((x * y) \ (a(z,u,u) * (x * y)),x,y) = a(u,u,z) * a(z,u,R(u,x,y)). [hyper(306,a,4917,a,b,5599,a),flip(a)]. 5606 a(x,x,y) * a(y,x,R(x,z,u)) = a(a(y,x,x),z,u). [hyper(64,a,3986,a(flip),b,5605,a),flip(a)]. 5607 a(x,x,y) * R(a(y,x,x),z,u) = a(a(y,x,x),z,u). [para(5309(a,1),5606(a,1,2))]. 5608 a(x,x,y) * R(a(y,x,x \ 1) \ 1,z,u) = a(a(y,x,x),z,u). [para(5255(a,2),5607(a,1,2,1))]. 5609 a(x,y,y \ 1) * R(a(x,y,y \ 1) \ 1,z,u) = a(a(x,y,y),z,u). [para(5366(a,2),5608(a,1,1))]. 5610 a(x,y,L(x,z,z) * L(z \ 1,u,w)) = a(x,y,x * L(z \ 1,u,w)). [para(2312(a,1),5538(a,2,3,2))]. 5611 a(x,y,L(x,z,z) * L(z \ 1,u,w)) = a(x,y,L(x * (z \ 1),u,w)). [hyper(306,a,5332,a,b,5610,a),flip(a)]. 5613 a(x,y,L(x * L(z \ 1,u,w),z,z)) = a(x,y,L(x * (z \ 1),u,w)). [para(5537(a,2),5611(a,1,3))]. 5614 a(x,y,L(L(x * (z \ 1),u,w),z,z)) = a(x,y,L(x * (z \ 1),u,w)). [hyper(64,a,5502,a,b,5613,a)]. 5615 a(x,y,L(x * (z \ 1),u,w)) = a(x,y,L(x / z,u,w)). [para(5391(a,1),5614(a,1,3)),flip(a)]. 5616 a(x,y,L(x * (z \ 1),u,w)) = a(x,y,L(z \ x,u,w)). [hyper(306,a,4633,a(flip),b,5615,a),flip(a)]. 5617 a(x,y,x * (z \ a(u,z,z))) = a(x,y,L(z \ x,z,u)). [hyper(64,a,5333,a(flip),b,5616,a)]. 5618 a(x,y,x * ((z \ u) \ a(z,z \ u,z \ u))) = a(x,y,u \ (z * x)). [para(605(a,1),5617(a,2,3))]. 5619 a(x,y,x * ((z \ u) \ a(z,z \ u,u))) = a(x,y,u \ (z * x)). [para(5217(a,1),5618(a,1,3,2,2))]. 5620 a(x,y,z \ (u * x)) = a(x,y,x * (z \ u)). [para(5280(a,1),5619(a,1,3,2)),flip(a)]. 5621 a(x,y,x * ((z * x) \ u)) = a(x,y,z \ u). [hyper(64,a,5527,a(flip),b,5620,a),flip(a)]. 5622 L(L(x,x \ 1,y \ 1),a(x,x \ 1,y),z) = (z * a(x,x \ 1,y)) \ (z * x). [hyper(64,a,30,a,b,5541,a)]. 5623 L(x \ 1,x \ 1,x / y) \ z = (x \ 1) \ (a(y \ x,x,x) * z). [para(5496(a,1),5583(a,1,2,1)),flip(a)]. 5624 L(x \ 1,x \ 1,x / y) \ z = (x \ 1) \ (a(x,x,y) * z). [para(5400(a,1),5623(a,2,2,1))]. 5625 L(x \ 1,x \ 1,y \ x) \ z = (x \ 1) \ (a(x,x,y) * z). [para(3141(a,1),5624(a,1,1))]. 5626 L(x \ 1,x,(y \ x) \ 1) \ z = (x \ 1) \ (a(x,x,y) * z). [para(5298(a,1),5625(a,1,1))]. 5627 (x \ 1) \ (a(x,x,y) * z) = L(x \ 1,x,y) \ z. [para(5307(a,1),5626(a,1,1)),flip(a)]. 5628 a(x,x,y) * ((x \ 1) \ z) = L(x \ 1,x,y) \ z. [hyper(39,a,1602,a(flip),b,5627,a),flip(a)]. 5629 a(x,x,y) * (z / (x \ K(z,x))) = L(x \ 1,x,y) \ z. [para(2102(a,2),5628(a,1,2))]. 5631 a(x \ 1,x \ 1,y) * (z / (x \ K(z,x))) = L(x \ 1,x,(y \ 1) \ 1) \ z. [para(5298(a,1),5585(a,2,1))]. 5632 K(x * y,L(L(y,y \ 1,z \ 1),a(y,y \ 1,z),x)) = K(x * a(y,y \ 1,z),x * y). [para(5622(a,2),1909(a,1,2))]. 5633 a(x \ 1,x \ 1,y) * (z / (x \ K(z,x))) = L(x \ 1,x,y) \ z. [para(326(a,1),5631(a,2,1,3))]. 5634 a(x \ 1,x \ 1,y) = a(x,x,y). [hyper(36,a,5629,a,b,5633,a),flip(a)]. 5635 a(L(x \ 1,x,y),L(x,x,y) \ 1,z) = a(L(x,x,y),L(x,x,y),z). [para(5300(a,2),5634(a,1,1))]. 5636 a(L(x \ 1,x,y),L(x \ 1,x,y),z) = a(L(x,x,y),L(x,x,y),z). [para(5300(a,2),5635(a,1,2))]. 5637 a(x,T(y,z),L(T(z,y),T(y,z),x)) = a(x,T(y,z),y \ (x * (z * y))). [para(896(a,1),5222(a,1,3,1))]. 5638 a(x,T(y,z),y \ (x * (z * y))) = a(x,T(y,z),L(T(z,y),y,x)). [para(3580(a,1),5637(a,1,3)),flip(a)]. 5639 a(x,T(y,z),y \ (x * (z * y))) = a(x,T(y,z),L(z,y,x)). [hyper(306,a,4306,a(flip),b,5638,a),flip(a)]. 5640 a(x,T(y,z),y \ (x * (z * y))) = a(x,y,L(z,y,x)). [hyper(306,a,4305,a(flip),b,5639,a),flip(a)]. 5641 a(x,T(y,z),y \ ((z * y) * x)) = a(x,y,L(z,y,x)). [hyper(64,a,4377,a,b,5640,a)]. 5642 a(x,T(y,z),y \ ((z * y) * x)) = a(x,y,z). [hyper(306,a,5417,a(flip),b,5641,a),flip(a)]. 5644 a(x,T(y,z),x * (y \ (z * y))) = a(x,y,z). [hyper(64,a,5620,a(flip),b,5642,a)]. 5645 a(x,T(y,z),x * T(z,y)) = a(x,y,z). [para(22(a,2),5644(a,1,3,2))]. 5646 a(x,T(y,z),T(x * z,y)) = a(x,y,z). [hyper(5525,a,5645,a)]. 5647 a(x,T(y,z),x * z) = a(x,y,z). [hyper(4599,a,5646,a)]. 5648 a(x,y,x * z) = a(x,y,z). [hyper(64,a,5337,a(flip),b,5647,a)]. 5650 a(x,y,L(x * z,u,w)) = a(x,y,L(z,u,w)). [hyper(64,a,5332,a,b,5648,a)]. 5652 a(x,y,(z * x) \ u) = a(x,y,z \ u). [hyper(64,a,5621,a(flip),b,5648,a),flip(a)]. 5654 a(x,x,R(x * y,z,u)) = a(x,R(x,z,u),y). [hyper(64,a,5441,a(flip),b,5648,a)]. 5657 a(x,y,z \ (x \ ((x * z) * u))) = a(x,y,L(x \ u,x,z)). [hyper(64,a,5534,a(flip),b,5652,a),flip(a)]. 5661 a(x,y,L(x \ z,u,w)) = a(x,y,L(z,u,w)). [para(10(a,1),5650(a,1,3,1)),flip(a)]. 5662 a(x,x,R(x * y,z,u)) = a(x,x,R(y,z,u)). [hyper(306,a,5441,a(flip),b,5654,a),flip(a)]. 5665 1 \ a(R(x * y,z,u),x,x \ 1) = a(x,x,R(y,z,u)). [hyper(64,a,5371,a,b,5662,a)]. 5666 a(R(x * y,z,u),x,x \ 1) = a(R(y,z,u),x,x) \ 1. [hyper(39,a,5567,a,b,5665,a),flip(a)]. 5667 a(R(x * y,z,u),x,x) = a(R(y,z,u),x,x). [hyper(5272,a,5666,a)]. 5668 a(x * y,x,R(x,z,u)) = a(R(y,z,u),x,x). [hyper(5531,a,5667,a)]. 5669 a(x * y,x,R(x,z,u)) = a(y,x,R(x,z,u)). [hyper(306,a,5440,a(flip),b,5668,a),flip(a)]. 5670 a(x,y,L(x \ z,x,u)) = a(x,y,z). [hyper(64,a,5426,a(flip),b,5657,a),flip(a)]. 5672 a(x,y,L(z,x,u)) = a(x,y,z). [hyper(64,a,5661,a(flip),b,5670,a)]. 5675 L(a(x,y,z),x,u) = a(x,y,z). [hyper(64,a,5310,a(flip),b,5672,a)]. 5676 a(x,y,z) != u | a(x,y,x * z) = u. [para(5672(a,1),5321(a,1))]. 5677 (x * a(x,y,z)) * u = x * (a(x,y,z) * u). [para(5672(a,1),5488(a,1,2,1)),flip(a)]. 5678 a(x,y,z \ 1) = a(z,y,x). [hyper(5401,a,5675,a)]. 5679 a(x,y,z) = x \ L(x,y,z). [hyper(4612,a,5675,a),flip(a)]. 5680 a(x,y,a(y,z,u)) = 1. [hyper(54,a,5675,a)]. 5682 L(x,y,z) != a(y,u,w) | a(y,u,w) = x. [para(5675(a,1),51(a,1)),flip(a)]. 5683 a(x,y,z) = x \ R(x,y,z). [hyper(5240,a,5678,a),flip(a)]. 5686 a(x,y,x * (z \ 1)) = a(z,y,x). [hyper(64,a,5648,a,b,5678,a)]. 5687 a(x \ 1,y,z) = a(z,y,x). [hyper(64,a,4459,a(flip),b,5678,a),flip(a)]. 5688 R(x,y,z) = x * a(x,y,z). [hyper(121,a,5678,a(flip),b,5238,a(flip)),flip(a)]. 5690 x * L(x \ 1,y,z) = a(x \ 1,y,z). [hyper(306,a,927,a(flip),b,5679,a)]. 5691 L(x,y,z) = x * a(x,y,z). [hyper(121,a,5679,a,b,xx),flip(a)]. 5693 R(x,y,z) \ L(R(x,y,z),u,w) = a(x,u,R(w,y,z)). [hyper(64,a,5440,a(flip),b,5679,a),flip(a)]. 5699 R(x,y,z) = a(x,y,z) * x. [hyper(120,a,5683,a,b,417,a),flip(a)]. 5701 R(x,T(y,z),R(T(y,z),u,w)) = x * a(x,y,R(y,u,w)). [hyper(121,a,5526,a(flip),b,5683,a(flip)),flip(a)]. 5702 R(x,y \ 1,R(y \ 1,z,u)) = x * a(x,y,R(y,z,u)). [hyper(121,a,5499,a(flip),b,5683,a(flip)),flip(a)]. 5703 x * a(x,y,z) != u | R(x,y,z) = u. [para(5683(a,2),262(a,1,2)),flip(b)]. 5705 a(x,L(x,y,z) \ 1,u) = a(u,x,L(x,y,z)). [hyper(3695,a,5687,a)]. 5707 a(x \ 1,y,R(z,u,w)) = a(z,y,R(x,u,w)). [hyper(306,a,5440,a(flip),b,5687,a),flip(a)]. 5710 ((a(x \ 1,y,z) \ x) \ 1) * a(x,a(x \ 1,y,z),a(x \ 1,y,z)) = R(x \ 1,y,z). [hyper(306,a,5469,a,b,5688,a)]. 5711 x \ R(x,y,z) != u | a(x,y,z) = u. [para(5688(a,2),286(a,1,2)),flip(b)]. 5712 x \ (y * L(y \ x,z,u)) = a((x \ y) \ 1,z,u). [hyper(2549,a,5691,a)]. 5716 x * (a(x * y,x,R(x,z,u)) * y) = R(x * y,x,R(x,z,u)). [hyper(306,a,5543,a(flip),b,5699,a)]. 5717 a(x,y,z \ x) = a(z,y,x). [hyper(64,a,5461,a(flip),b,5686,a)]. 5719 a(x,y,R(z \ R(x,u,w),u,w)) = a(z,y,R(x,u,w)). [hyper(64,a,5440,a(flip),b,5717,a)]. 5724 L(x,y,z) != u | R(x,y,z) = u. [para(5691(a,2),5703(a,1))]. 5726 a(x,y,z \ 1) != u | a(z,y,x) = u. [para(5238(a,2),5711(a,1))]. 5734 L(x,a(y,z,u),y) = x. [hyper(595,a,5677,a)]. 5736 x * (a(x,y,z) * u) = L(x,y,z) * u. [para(5691(a,2),5677(a,1,1)),flip(a)]. 5737 L(x,a(y,z,z),z \ 1) = x. [para(5249(a,1),5734(a,1,2))]. 5740 L(x,y,z \ x) * u = x * (a(z,y,x) * u). [para(5717(a,1),5736(a,1,2,1)),flip(a)]. 5741 (L(x,y,z) \ 1) \ ((L(x,y,z) \ x) * u) = x * (u * a(u,x,L(x,y,z))). [para(5705(a,1),5462(a,2,2,2))]. 5744 a(R(x,y,z) \ u,x,R(x,y,z)) = a(u,x,R(x,y,z)). [hyper(5546,a,5719,a)]. 5745 R(x,T(y,z),R(T(y,z),u,w)) = R(x,y,R(y,u,w)). [hyper(306,a,5688,a,b,5701,a),flip(a)]. 5746 R(x,T(y,z),R(T(y,z),u,w)) = x * a(x,y,L(y,u,w)). [para(4097(a,1),5701(a,2,2,3))]. 5747 R(x,y \ 1,R(y \ 1,z,u)) = R(x,y,R(y,z,u)). [hyper(306,a,5688,a,b,5702,a),flip(a)]. 5748 R(x,y \ 1,L(y \ 1,z,u)) = R(x,y,R(y,z,u)). [para(4097(a,1),5747(a,1,3))]. 5749 R(x,y \ 1,L(y \ 1,z,u)) = R(x,y,L(y,z,u)). [para(4097(a,1),5748(a,2,3))]. 5750 R(x,y,R(y,z,u)) = R(x,y,L(y,z,u)). [hyper(64,a,5748,a(flip),b,5749,a)]. 5751 R(x,y,L(y,z,u)) = L(x,y,R(y,z,u)). [hyper(64,a,4098,a,b,5750,a),flip(a)]. 5752 L(x,y,R(y,z,u)) = L(x,y,L(y,z,u)). [hyper(64,a,4098,a,b,5751,a),flip(a)]. 5753 L(x,y \ 1,R(y \ 1,z,u)) = R(x,y,L(y,z,u)). [hyper(64,a,5749,a(flip),b,5751,a),flip(a)]. 5754 L(x,y \ 1,R(y \ 1,z,u)) = L(x,y,R(y,z,u)). [hyper(306,a,5751,a(flip),b,5753,a),flip(a)]. 5755 R(x,T(y,z),R(T(y,z),u,w)) != v5 | R(x,y,L(y,u,w)) = v5. [para(5746(a,2),5703(a,1))]. 5756 R(x,y,R(y,z,u)) != w | R(x,y,L(y,z,u)) = w. [para(5745(a,1),5755(a,1))]. 5758 x * (a(y,x,R(x,z,u)) * y) = R(x * y,x,R(x,z,u)). [para(5669(a,1),5716(a,1,2,1))]. 5759 R(x * y,x,R(x,z,u)) = x * R(y,x,R(x,z,u)). [para(5699(a,2),5758(a,1,2)),flip(a)]. 5760 R(x * y,x,R(x,z,u)) = x * R(y,x,L(x,z,u)). [para(4097(a,1),5759(a,2,2,3))]. 5761 R(x * y,x,L(x,z,u)) = x * R(y,x,L(x,z,u)). [hyper(5756,a,5760,a)]. 5762 T(R(x * y,x,L(x,z,u)),x) = R(y,x,L(x,z,u)) * x. [para(5761(a,2),792(a,1,1))]. 5763 R(T(x * y,x),x,L(x,z,u)) = R(y,x,L(x,z,u)) * x. [hyper(64,a,27,a,b,5762,a)]. 5764 R(x * y,y,L(y,z,u)) = R(x,y,L(y,z,u)) * y. [para(792(a,1),5763(a,1,1))]. 5765 R(x * y,y,L(y,z,u)) = L(x,y,R(y,z,u)) * y. [para(5751(a,1),5764(a,2,1))]. 5766 L(x * y,y,R(y,z,u)) = L(x,y,R(y,z,u)) * y. [hyper(64,a,5751,a(flip),b,5765,a)]. 5767 T(L(x * (y \ 1),y \ 1,R(y \ 1,z,u)),y) = (y \ 1) * L(x,y \ 1,R(y \ 1,z,u)). [para(5766(a,2),2050(a,1,1))]. 5768 L(x * y,y,R(y,z,u)) = L(x,y,L(y,z,u)) * y. [para(4097(a,1),5766(a,2,1,3))]. 5769 L(x * y,y,L(y,z,u)) = L(x,y,L(y,z,u)) * y. [hyper(64,a,5752,a(flip),b,5768,a)]. 5770 (L(x,y,z) \ 1) \ ((L(x,y,z) \ x) * u) = x * L(u,x,L(x,y,z)). [para(5691(a,2),5741(a,2,2))]. 5771 L((x \ 1) * R((x \ 1) \ 1,y,z),x,u) = L(x \ 1,x,u) * L(R(x,y,z),x,u). [para(29(a,1),5301(a,2,2))]. 5772 L(R(x,y,z),x \ 1,u \ 1) = L(R(x,y,z),x,u). [hyper(4505,a,5771,a)]. 5773 L(R(x,y,z),x \ 1,u) = L(R(x,y,z),x,u \ 1). [hyper(64,a,2560,a(flip),b,5772,a)]. 5774 R(R(x,y,z),x \ 1,u) = L(R(x,y,z),x,u \ 1). [hyper(5724,a,5773,a)]. 5775 L(R(x,y,z) \ L(R(x,y,z),x,((x \ 1) \ u) \ 1),R(x,y,z),u) = a(x \ 1,R(x,y,z),(x \ 1) \ u). [para(5774(a,1),4076(a,1,1,2))]. 5776 ((a(x,y,R(z,u,w)) \ z) \ 1) * a(z,a(z \ 1,y,R(x,u,w)),a(z \ 1,y,R(x,u,w))) = R(z \ 1,y,R(x,u,w)). [para(5707(a,1),5710(a,1,1,1,1))]. 5777 L(x \ 1,x \ 1,(y * x) \ (x \ 1)) * z = (x \ 1) * (z * a(x * y,x,x)). [para(5496(a,1),5485(a,2,2,2))]. 5778 L(x \ 1,x \ 1,(y * x) \ (x \ 1)) * z = (x \ 1) * (z * a(y,x,x)). [para(5269(a,1),5777(a,2,2,2))]. 5779 L(x \ 1,x,y * x) * z = (x \ 1) * (z * a(y,x,x)). [para(5500(a,1),5778(a,1,1))]. 5780 (x \ 1) * (y * a(z,x,x)) = L(x \ 1,x,z) * y. [para(1028(a,1),5779(a,1,1)),flip(a)]. 5781 ((x \ 1) * y) * a(z,x,x) = L(x \ 1,x,z) * y. [hyper(35,a,1593,a(flip),b,5780,a),flip(a)]. 5782 K(x * y,L(L(y,y,z),a(y,y \ 1,z),x)) = K(x * a(y,y \ 1,z),x * y). [para(5292(a,1),5632(a,1,2,1))]. 5783 K(x * y,L(y,a(y,y \ 1,z),x)) = K(x * a(y,y \ 1,z),x * y). [hyper(3921,a,5782,a)]. 5784 K(x * a(y,y \ 1,z),x * y) = K(x,L(y,a(y,y \ 1,z),x)). [hyper(3871,a,5783,a),flip(a)]. 5785 K(x * a(y,y \ 1,z),x * y) = K(x,y). [hyper(306,a,3223,a(flip),b,5784,a),flip(a)]. 5787 K(x * a(y,z,z),x * z) = K(x,z). [para(5243(a,1),5785(a,1,1,2))]. 5788 K(x,y) * L(L(y,a(z,y,y),x),y,z) = (x * y) / (x * a(z,y,y)). [para(5787(a,1),5338(a,1,1))]. 5789 (x * y) / (x * a(z,y,y)) = K(x,y) * L(y,y,z). [para(5549(a,1),5788(a,1,2,1)),flip(a)]. 5791 (x * y) / (x * a(z,y,y)) = L(T(y,x \ y),y,z). [hyper(306,a,3870,a,b,5789,a),flip(a)]. 5792 T(L(x * (y \ 1),y,R(y,z,u)),y) = (y \ 1) * L(x,y \ 1,R(y \ 1,z,u)). [para(5754(a,1),5767(a,1,1))]. 5793 L(T(x * (y \ 1),y),y,R(y,z,u)) = (y \ 1) * L(x,y \ 1,R(y \ 1,z,u)). [hyper(64,a,25,a,b,5792,a)]. 5794 (x \ 1) * L(y,x \ 1,R(x \ 1,z,u)) = L((x \ 1) * y,x,R(x,z,u)). [para(2050(a,1),5793(a,1,1)),flip(a)]. 5795 L((x \ 1) * y,x,R(x,z,u)) = (x \ 1) * L(y,x,R(x,z,u)). [para(5754(a,1),5794(a,1,2)),flip(a)]. 5796 L((x \ 1) * y,x,R(x,z,u)) = (x \ 1) * L(y,x,L(x,z,u)). [para(4097(a,1),5795(a,2,2,3))]. 5797 L((x \ 1) * y,x,L(x,z,u)) = (x \ 1) * L(y,x,L(x,z,u)). [hyper(64,a,5752,a(flip),b,5796,a)]. 5798 (x \ 1) * L(x * y,x,L(x,z,u)) = L(L(y,x,L(x,z,u)),x,x \ 1). [hyper(64,a,720,a(flip),b,5797,a),flip(a)]. 5799 L(x * y,x,L(x,z,u)) = x * L(y,x,L(x,z,u)). [hyper(35,a,714,a,b,5798,a),flip(a)]. 5800 (L(x,y,z) \ 1) \ ((L(x,y,z) \ x) * u) = L(x * u,x,L(x,y,z)). [hyper(306,a,5770,a,b,5799,a)]. 5801 L(x * (((L(x,y,z) \ x) \ (L(x,y,z) \ 1)) * u),x,L(x,y,z)) = L(u,(L(x,y,z) \ x) \ (L(x,y,z) \ 1),L(x,y,z) \ x). [hyper(1123,a,5800,a),flip(a)]. 5802 (x * ((L(y,z,u) \ y) \ 1)) / ((L(y,z,u) \ 1) \ 1) = L(y * (x \ 1),y,L(y,z,u)) \ 1. [para(5800(a,1),571(a,2,1))]. 5803 (x * (y \ L(y,z,u))) / ((L(y,z,u) \ 1) \ 1) = L(y * (x \ 1),y,L(y,z,u)) \ 1. [para(1225(a,1),5802(a,1,1,2))]. 5804 L(x * (y \ 1),x,L(x,z,u)) \ 1 = (y * (x \ L(x,z,u))) / L(x,z,u). [para(326(a,1),5803(a,1,2)),flip(a)]. 5805 L(x * (y \ 1),x,L(x,z,u)) \ 1 != w | L(x,z,u) / (x * (y \ L(x,z,u))) = w. [para(5804(a,2),731(a,1))]. 5806 (((x * y) / (x * a(z,y,y))) * x) * a(z,y,y) = x * (a(z,y,y) * L(R(y,x,a(z,y,y)),y,z)). [para(29(a,1),5296(a,2,2,2))]. 5807 (((x * y) / (x * a(z,y,y))) * x) * a(z,y,y) = x * (a(z,y,y) * L(y,y,z)). [para(5246(a,1),5806(a,2,2,2,1))]. 5808 (((x * y) / (x * a(z,y,y))) * x) * a(z,y,y) = x * y. [para(5290(a,1),5807(a,2,2))]. 5809 (L(T(x,y \ x),x,z) * y) * a(z,x,x) = y * x. [para(5791(a,1),5808(a,1,1,1))]. 5810 (L(x,x,y) * (z * K(z,x))) * a(y,x,x) = z * x. [para(3943(a,1),5809(a,1,1))]. 5811 (L(x,x,y) * T(z,x)) * a(y,x,x) = z * x. [para(1892(a,2),5810(a,1,1,2))]. 5812 T(L(x,x,y) * z,x) * a(y,x,x) = z * x. [para(1607(a,2),5811(a,1,1))]. 5813 (x * L(y,y,z)) * a(z,y,y) = x * y. [para(3844(a,1),5812(a,1,1))]. 5814 L(x \ 1,x,y) * (z * L(x,x,y)) = (x \ 1) * (z * x). [para(5813(a,1),5780(a,1,2)),flip(a)]. 5815 L(x \ 1,x,y) * (T(z,x \ 1) * L(x,x,y)) = (z * (x \ 1)) * L(x,z,x \ 1). [hyper(306,a,3128,a,b,5814,a),flip(a)]. 5816 L(x \ 1,x,y) * (L(x,x,y) * z) = (z * (x \ 1)) * L(x,z,x \ 1). [para(3906(a,1),5815(a,1,2))]. 5817 L(x \ 1,x,y) * (L(x,x,y) * z) = (z * (x \ 1)) * x. [para(2346(a,1),5816(a,2,2))]. 5818 L(x \ 1,x,y) * (L(x,x,y) * z) = L(z,x,x \ 1). [hyper(306,a,2320,a(flip),b,5817,a),flip(a)]. 5819 L(x,L(y,y,z),y \ (a(z,y,y) * 1)) = L(x,y,y \ 1). [hyper(64,a,5600,a,b,5818,a)]. 5821 L(x,L(y,y,z),L(y,y,z) \ 1) = L(x,y,y \ 1). [para(5579(a,1),5819(a,1,3))]. 5822 a(L(x,x,y),L(x,x,y),z) = z \ L(z,x,x \ 1). [para(5821(a,1),5370(a,1,2)),flip(a)]. 5823 a(L(x,x,y),L(x,x,y),z) = a(x,x,z). [hyper(306,a,5370,a(flip),b,5822,a),flip(a)]. 5824 a(L(x \ 1,x,y),L(x \ 1,x,y),z) = a(x,x,z). [hyper(64,a,5636,a,b,5823,a)]. 5825 L(L(x,x,y),L(x,x,y),z) = L(x,x,y) * a(x,x,z). [hyper(121,a,5823,a(flip),b,5474,a),flip(a)]. 5827 L(L(x \ 1,x,y),L(x \ 1,x,y),z) = L(x \ 1,x,y) * a(x,x,z). [hyper(121,a,5824,a(flip),b,5474,a),flip(a)]. 5828 L(L(x,x,y),L(x,x,y),z) = a(z,x,x) \ L(x,x,y). [hyper(306,a,5565,a,b,5825,a),flip(a)]. 5829 (a(x \ 1,y,y) \ L(y,y,z)) \ x = (L(y,y,z) \ 1) * x. [para(5828(a,1),5303(a,1,1))]. 5830 (a(x,y,y \ 1) \ L(y,y,z)) \ x = (L(y,y,z) \ 1) * x. [para(5251(a,1),5829(a,1,1,1))]. 5831 (L(x,x,y) * a(z,x,x)) \ z = (L(x,x,y) \ 1) * z. [para(5578(a,1),5830(a,1,1))]. 5832 (L(x,x,y) * a(z,x,x)) \ z = L(x \ 1,x,y) * z. [para(5300(a,2),5831(a,2,1))]. 5833 L(L(x \ 1,x,y),L(x \ 1,x,y),z) = a(z,x,x) \ L(x \ 1,x,y). [hyper(306,a,5565,a,b,5827,a),flip(a)]. 5834 a(x,L(y \ 1,y,z),L(y \ 1,y,z)) = a(x,y,y). [hyper(5293,a,5833,a)]. 5835 L(x,a(y,z,z),L(z \ 1,z,u) \ 1) = x. [para(5834(a,1),5737(a,1,2))]. 5836 L(x,a(y,z,z),R(z,z \ 1,u \ 1)) = x. [para(2574(a,2),5835(a,1,3))]. 5838 L(x,a(y,z,z),L(z,z,(u \ 1) \ 1)) = x. [para(5302(a,1),5836(a,1,3))]. 5840 L(x,a(y,z,z),L(z,z,u)) = x. [para(194(a,1),5838(a,1,3,3))]. 5841 (L(x,x,y) * a(z,x,x)) \ u = a(z,x,x) \ (L(x,x,y) \ u). [hyper(64,a,293,a(flip),b,5840,a)]. 5842 a(x,y,y) \ (L(y,y,z) \ x) = L(y \ 1,y,z) * x. [hyper(64,a,5832,a(flip),b,5841,a),flip(a)]. 5843 L(R(x,y,z) \ L(R(x,y,z),x,(u \ 1) / x),R(x,y,z),u) = a(x \ 1,R(x,y,z),(x \ 1) \ u). [para(569(a,1),5775(a,1,1,2,3))]. 5844 L(R(x,y,z) \ L(R(x,y,z),x,x \ (u \ 1)),R(x,y,z),u) = a(x \ 1,R(x,y,z),(x \ 1) \ u). [para(3139(a,1),5843(a,1,1,2))]. 5845 L(R(x,y,z) \ L(R(x,y,z),x,u \ 1),R(x,y,z),u) = a(x \ 1,R(x,y,z),(x \ 1) \ u). [para(2469(a,1),5844(a,1,1,2))]. 5846 L(a(x,x,R(y \ 1,z,u)),R(x,z,u),y) = a(x \ 1,R(x,z,u),(x \ 1) \ y). [para(5693(a,1),5845(a,1,1))]. 5847 L(a(R(x,y,z),u,u),R(u,y,z),x) = a(u \ 1,R(u,y,z),(u \ 1) \ x). [para(5456(a,1),5846(a,1,1))]. 5848 a(L(R(x,y,z),R(u,y,z),x),u,u) = a(u \ 1,R(u,y,z),(u \ 1) \ x). [hyper(5282,a,5847,a)]. 5849 a(x \ 1,R(x,y,z),(x \ 1) \ u) = a(R(u,y,z),x,x). [para(769(a,1),5848(a,1,1)),flip(a)]. 5850 a(x \ 1,R(x,y,z),(x \ 1) \ u) = a(u,x,R(x,y,z)). [hyper(306,a,5440,a(flip),b,5849,a),flip(a)]. 5852 a(x \ 1,R(x,y,z),(x \ 1) * ((x \ 1) \ u)) = a(u,x,R(x,y,z)). [hyper(5676,a,5850,a)]. 5853 a(x \ 1,R(x,y,z),u) = a(u,x,R(x,y,z)). [para(10(a,1),5852(a,1,3))]. 5854 (x \ 1) * (y * a(R(x,z,u) \ y,x,R(x,z,u))) = (x \ R(x,z,u)) * (R(x,z,u) \ y). [para(5853(a,1),4554(a,1,2,2))]. 5855 (x \ R(x,y,z)) * (R(x,y,z) \ u) = (x \ 1) * (u * a(u,x,R(x,y,z))). [para(5744(a,1),5854(a,1,2,2)),flip(a)]. 5856 (x \ R(x,y,z)) * (R(x,y,z) \ u) = (x \ 1) * L(u,x,R(x,y,z)). [para(5691(a,2),5855(a,2,2))]. 5857 (x \ R(x,y,z)) * (R(x,y,z) \ u) = L((x \ 1) * u,x,R(x,y,z)). [hyper(306,a,5795,a,b,5856,a),flip(a)]. 5858 (x \ R(x,y,z)) * (R(x,y,z) \ u) = L((x \ 1) * u,x,L(x,y,z)). [hyper(306,a,5752,a(flip),b,5857,a),flip(a)]. 5859 ((x / R(y,z,u)) * y) * (y \ R(y,z,u)) = y * L((y \ 1) * x,y,L(y,z,u)). [para(5858(a,1),4715(a,2,2))]. 5860 ((x / R(y,z,u)) * y) * (y \ R(y,z,u)) = L(y * ((y \ 1) * x),y,L(y,z,u)). [hyper(306,a,5799,a,b,5859,a),flip(a)]. 5861 ((x / R(y,z,u)) * y) * (y \ R(y,z,u)) = L(L(x,y,y \ 1),y,L(y,z,u)). [para(2323(a,1),5860(a,2,1))]. 5862 a(x,x \ R(x,y,z),x \ ((R(x,y,z) * (u \ 1)) * (x \ R(x,y,z)))) = u \ R(u,x,x \ R(x,y,z)). [para(10(a,1),5351(a,1,3,2,1,1))]. 5864 ((a(R(x,y,z),u,u) * x) \ 1) * a(x,a(x \ 1,u,R(u,y,z)),a(x \ 1,u,R(u,y,z))) = R(x \ 1,u,R(u,y,z)). [para(5574(a,1),5776(a,1,1,1))]. 5865 ((a(x,y,R(y,z,u)) * x) \ 1) * a(x,a(x \ 1,y,R(y,z,u)),a(x \ 1,y,R(y,z,u))) = R(x \ 1,y,R(y,z,u)). [para(5440(a,1),5864(a,1,1,1,1))]. 5866 (R(x,y,R(y,z,u)) \ 1) * a(x,a(x \ 1,y,R(y,z,u)),a(x \ 1,y,R(y,z,u))) = R(x \ 1,y,R(y,z,u)). [para(5699(a,2),5865(a,1,1,1))]. 5867 (R(x,y,R(y,z,u)) \ 1) * a(x,a(y,y,R(x,z,u)),a(x \ 1,y,R(y,z,u))) = R(x \ 1,y,R(y,z,u)). [para(5707(a,1),5866(a,1,2,2))]. 5868 (R(x,y,R(y,z,u)) \ 1) * a(x,a(y,y,R(x,z,u)),a(y,y,R(x,z,u))) = R(x \ 1,y,R(y,z,u)). [para(5707(a,1),5867(a,1,2,3))]. 5869 (R(x,y,R(y,z,u)) \ 1) * 1 = R(x \ 1,y,R(y,z,u)). [para(5597(a,1),5868(a,1,2))]. 5870 R(x \ 1,y,R(y,z,u)) = R(x,y,R(y,z,u)) \ 1. [hyper(130,a,5869,a),flip(a)]. 5872 R(x \ 1,y,R(y,z,u)) = R(x,y,L(y,z,u)) \ 1. [para(4097(a,1),5870(a,2,1,3))]. 5873 R(x \ 1,y,L(y,z,u)) = R(x,y,L(y,z,u)) \ 1. [hyper(5756,a,5872,a)]. 5874 R(x \ 1,y,L(y,z,u)) = L(x,y,R(y,z,u)) \ 1. [para(5751(a,1),5873(a,2,1))]. 5875 L(x \ 1,y,R(y,z,u)) = L(x,y,R(y,z,u)) \ 1. [hyper(64,a,5751,a(flip),b,5874,a)]. 5876 L(x \ 1,y,R(y,z,u)) = L(x,y,L(y,z,u)) \ 1. [para(4097(a,1),5875(a,2,1,3))]. 5877 L(x \ 1,y,L(y,z,u)) = L(x,y,L(y,z,u)) \ 1. [hyper(64,a,5752,a(flip),b,5876,a)]. 5878 L((x * (y \ 1)) \ 1,x,L(x,z,u)) = L(x,z,u) / (x * (y \ L(x,z,u))). [hyper(5805,a,5877,a(flip)),flip(a)]. 5879 L(x,y,z) / (x * (u \ L(x,y,z))) = L(u * (x \ 1),x,L(x,y,z)). [para(318(a,1),5878(a,1,1)),flip(a)]. 5880 L(x * (y \ 1),y,L(y,z,u)) * y = L(x,y \ L(y,z,u),y). [hyper(120,a,5879,a(flip),b,4107,a)]. 5881 L((x * (y \ 1)) * y,y,L(y,z,u)) = L(x,y \ L(y,z,u),y). [hyper(64,a,5769,a,b,5880,a)]. 5882 L(L(x,y,y \ 1),y,L(y,z,u)) = L(x,y \ L(y,z,u),y). [para(2320(a,1),5881(a,1,1))]. 5883 ((x / R(y,z,u)) * y) * (y \ R(y,z,u)) = L(x,y \ L(y,z,u),y). [hyper(64,a,5861,a,b,5882,a)]. 5884 a(x,x \ R(x,y,z),x \ u) = u / L(u,x \ L(x,y,z),x). [para(5883(a,1),4722(a,1,2)),flip(a)]. 5885 a(x,x \ R(x,y,z),x \ u) = L(u,x \ L(x,y,z),x) \ u. [hyper(306,a,835,a(flip),b,5884,a),flip(a)]. 5886 ((x \ 1) * y) * R(((x \ 1) * y) \ L((x \ 1) * y,x,x),z,u) = ((y \ 1) * x) \ R(((x \ 1) * y) \ (x \ y),z,u). [para(561(a,1),5393(a,2,1))]. 5887 ((x \ 1) * y) * R(((x \ 1) * y) \ L((x \ 1) * y,x,x),z,u) = ((y \ 1) * x) \ R(a(y,x,x),z,u). [para(5253(a,1),5886(a,2,2,1))]. 5888 ((x \ 1) * y) * R(((x \ 1) * y) \ L((x \ 1) * y,x,x),z,u) = ((y \ 1) * x) \ a(R(y,z,u),x,x). [para(5284(a,2),5887(a,2,2))]. 5889 ((x \ 1) * y) * R(((x \ 1) * y) \ (x \ y),z,u) = ((y \ 1) * x) \ a(R(y,z,u),x,x). [para(5386(a,1),5888(a,1,2,1,2))]. 5890 ((x \ 1) * y) \ a(R(x,z,u),y,y) = ((y \ 1) * x) * R(a(x,y,y),z,u). [para(5253(a,1),5889(a,1,2,1)),flip(a)]. 5891 ((x \ 1) * y) \ a(R(x,z,u),y,y) = ((y \ 1) * x) * a(R(x,z,u),y,y). [para(5284(a,2),5890(a,2,2))]. 5892 ((x \ 1) * y) \ a(R(x,z,u),y,y) = L(y \ 1,y,R(x,z,u)) * x. [hyper(306,a,5781,a(flip),b,5891,a),flip(a)]. 5893 ((x \ 1) * y) \ a(x,y,R(y,z,u)) = L(y \ 1,y,R(x,z,u)) * x. [para(5440(a,1),5892(a,1,2))]. 5894 ((x \ 1) * y) \ a(x,y,R(y,z,u)) = L(y \ 1,y,L(x,z,u)) * x. [para(4097(a,1),5893(a,2,1,3))]. 5895 L(x \ 1,x,R(y,z,u)) * y = L(x \ 1,x,L(y,z,u)) * y. [hyper(64,a,5893,a(flip),b,5894,a)]. 5896 L(x * (((L(x,y,z) \ x) \ (L(x,y,z) \ 1)) * u),x,L(x,y,z)) = L(u,x \ 1,L(x,y,z) \ x). [para(1249(a,1),5801(a,2,2))]. 5897 L(x * ((x \ 1) * y),x,L(x,z,u)) = L(y,x \ 1,L(x,z,u) \ x). [para(1249(a,1),5896(a,1,1,2,1))]. 5900 L(L(x,y,y \ 1),y,L(y,z,u)) = L(x,y \ 1,L(y,z,u) \ y). [para(2323(a,1),5897(a,1,1))]. 5901 L(x,y \ 1,L(y,z,u) \ y) = L(x,y \ L(y,z,u),y). [hyper(64,a,5882,a(flip),b,5900,a),flip(a)]. 5902 R(x,(y \ 1) \ 1,(L(y,z,u) \ y) \ 1) \ x = x * L(x \ 1,y \ L(y,z,u),y). [para(5901(a,1),2576(a,2,2))]. 5903 R(x,y,(L(y,z,u) \ y) \ 1) \ x = x * L(x \ 1,y \ L(y,z,u),y). [para(326(a,1),5902(a,1,1,2))]. 5904 x * L(x \ 1,y \ L(y,z,u),y) = R(x,y,y \ L(y,z,u)) \ x. [para(1225(a,1),5903(a,1,1,3)),flip(a)]. 5905 x * L(x \ 1,y \ L(y,z,u),y) = L(x,y \ L(y,z,u),y) \ x. [para(4453(a,1),5904(a,2,1))]. 5906 (x \ y) * (a(x \ y,x,x \ 1) * R(a(x \ y,x,x \ 1) \ 1,z,u)) = a(y,x,x \ 1) * ((x \ y) * R(a(y,x,x \ 1) \ 1,z,u)). [para(3733(a,1),5100(a,2,2,2,1,1))]. 5907 (x \ y) * (a(x \ y,x,x \ 1) * R(a(x \ y,x,x \ 1) \ 1,z,u)) = a(y,x,x \ 1) * ((x \ y) * R(a(y,x,x),z,u)). [para(5255(a,1),5906(a,2,2,2,1))]. 5908 (x \ y) * (a(x \ y,x,x \ 1) * R(a(x \ y,x,x \ 1) \ 1,z,u)) = a(y,x,x \ 1) * ((x \ y) * a(R(y,z,u),x,x)). [para(5284(a,2),5907(a,2,2,2))]. 5909 (x \ y) * (a(x \ y,x,x \ 1) * R(a(x \ y,x,x \ 1) \ 1,z,u)) = a(y,x,x \ 1) * (L(x,x,R(y,z,u)) \ y). [para(5586(a,1),5908(a,2,2))]. 5910 (x \ y) * (a(x \ y,x,x \ 1) * R(a(x \ y,x,x \ 1) \ 1,z,u)) = a(y,x,x) \ (L(x,x,R(y,z,u)) \ y). [hyper(306,a,5575,a(flip),b,5909,a),flip(a)]. 5911 (x \ y) * (a(x \ y,x,x \ 1) * R(a(x \ y,x,x \ 1) \ 1,z,u)) = L(x \ 1,x,R(y,z,u)) * y. [hyper(306,a,5842,a(flip),b,5910,a),flip(a)]. 5912 (x \ y) * (a(y,x,x \ 1) * R(a(x \ y,x,x \ 1) \ 1,z,u)) = L(x \ 1,x,R(y,z,u)) * y. [para(3733(a,1),5911(a,1,2,1))]. 5913 (x \ y) * (a(y,x,x \ 1) * R(a(y,x,x \ 1) \ 1,z,u)) = L(x \ 1,x,R(y,z,u)) * y. [para(3733(a,1),5912(a,1,2,2,1,1))]. 5914 L(x \ 1,x,R(y,z,u)) * y = (x \ y) * a(a(y,x,x),z,u). [para(5609(a,1),5913(a,1,2)),flip(a)]. 5915 L(x \ 1,x,L(y,z,u)) * y = (x \ y) * a(a(y,x,x),z,u). [hyper(64,a,5895,a(flip),b,5914,a)]. 5916 (x \ 1) * (y * a(L(y,z,u),x,x)) = (x \ y) * a(a(y,x,x),z,u). [hyper(64,a,5780,a,b,5915,a)]. 5917 (x \ 1) * (y * a(y,x,L(x,z,u))) = (x \ y) * a(a(y,x,x),z,u). [para(5412(a,1),5916(a,1,2,2))]. 5918 (x \ 1) * L(y,x,L(x,z,u)) = (x \ y) * a(a(y,x,x),z,u). [para(5691(a,2),5917(a,1,2))]. 5919 L((x \ 1) * y,x,L(x,z,u)) = (x \ y) * a(a(y,x,x),z,u). [hyper(64,a,5797,a,b,5918,a)]. 5920 x \ (y * L((y \ 1) * x,y,L(y,z,u))) = L(a(a(x,y,y),z,u),y \ x,y). [para(5919(a,2),94(a,1,2,2))]. 5921 x \ L(y * ((y \ 1) * x),y,L(y,z,u)) = L(a(a(x,y,y),z,u),y \ x,y). [para(5799(a,2),5920(a,1,2))]. 5922 x \ L(L(x,y,y \ 1),y,L(y,z,u)) = L(a(a(x,y,y),z,u),y \ x,y). [para(2323(a,1),5921(a,1,2,1))]. 5923 L(a(a(x,y,y),z,u),y \ x,y) = x \ L(x,y \ L(y,z,u),y). [para(5882(a,1),5922(a,1,2)),flip(a)]. 5924 a(a(x,y,L(y,y \ x,y)),z,u) = x \ L(x,y \ L(y,z,u),y). [hyper(64,a,5415,a,b,5923,a)]. 5925 x \ L(x,y \ L(y,z,u),y) = a(a(x,y,y),z,u). [para(757(a,1),5924(a,1,1,3)),flip(a)]. 5926 x * L(x \ 1,y \ L(y,z,u),y) = a(a(x \ 1,y,y),z,u). [hyper(1044,a,5925,a)]. 5927 x * L(x \ 1,y \ L(y,z,u),y) = a(a(y,y,x),z,u). [para(5369(a,1),5926(a,2,1))]. 5928 L(x,y \ L(y,z,u),y) \ x = a(a(y,y,x),z,u). [hyper(64,a,5905,a(flip),b,5927,a)]. 5929 a(x,x \ R(x,y,z),x \ u) = a(a(x,x,u),y,z). [hyper(64,a,5885,a,b,5928,a)]. 5930 a(a(x,x,(R(x,y,z) * (u \ 1)) * (x \ R(x,y,z))),y,z) = u \ R(u,x,x \ R(x,y,z)). [hyper(64,a,5862,a(flip),b,5929,a),flip(a)]. 5931 a(a(x,x,R(x,y,z) * (R(x,y,z) * (u \ 1))),y,z) = u \ R(u,x,x \ R(x,y,z)). [para(5595(a,1),5930(a,1,1))]. 5932 a(a(x,x,R(x,y,z) * (u \ 1)),y,z) = u \ R(u,x,x \ R(x,y,z)). [para(5592(a,1),5931(a,1,1))]. 5933 x \ R(x,y,y \ R(y,z,u)) = a(a(y,y,x \ 1),z,u). [para(5592(a,1),5932(a,1,1)),flip(a)]. 5935 x \ R(x,y,y \ R(y,z,u)) = a(a(x,y,y),z,u). [para(5368(a,1),5933(a,2,1))]. 5937 L(a(a(x,y,y),z,u),x,R(y,z,u)) = a(x,y,a(u,z,z \ (((z * u) * (y \ 1)) * u))). [para(5935(a,1),5352(a,1,1))]. 5938 a(x,y,a(z,u,u \ (((u * z) * (y \ 1)) * z))) = a(a(x,y,y),u,z). [hyper(5682,a,5937,a)]. 5939 a(a(x \ (y \ R(x,z,u)),x,x),z,u) = a(x \ R(x,z,u),x,y). [hyper(64,a,5353,a(flip),b,5938,a),flip(a)]. 5941 a(a(x \ R(y,z,u),y,y),z,u) = a(y \ R(y,z,u),y,x). [para(5271(a,1),5939(a,1,1))]. 5942 a(x \ R(x,y,z),x,u) = a(a(x,x,u),y,z). [para(5603(a,1),5941(a,1,1)),flip(a)]. 5943 a(x,x \ R(x,y,z),u) = a(a(x,x,u),y,z). [hyper(4718,a,5942,a)]. 5945 a(x \ 1,x * R(x \ 1,y,z),u) = a(a(x \ 1,x \ 1,u),y,z). [para(925(a,1),5943(a,1,2))]. 5946 a(x \ 1,x * R(x \ 1,y,z),u) = a(a(x,x,u),y,z). [para(5634(a,1),5945(a,2,1))]. 5947 a(x,y * R(y \ 1,z,u),y \ 1) = a(a(y,y,x \ (y \ 1)),z,u). [hyper(64,a,5717,a(flip),b,5946,a)]. 5948 a(x \ 1,a(y,z,x),u) = a(a(x,x,u),z,y). [para(5232(a,2),5946(a,1,2))]. 5949 a(a(x,x,y),z,u) = a(y,x,a(u,z,x)). [hyper(64,a,5492,a(flip),b,5948,a),flip(a)]. 5950 a(a(x,y,y),z,z \ u) = a(x,y,a(u \ z,z,y)). [hyper(64,a,5581,a,b,5949,a)]. 5951 a(x,y * R(y \ 1,z,u),y \ 1) = a(a(x,y,y),z,u). [para(5367(a,1),5947(a,2,1))]. 5952 a(x,a(y,z,u),u \ 1) = a(a(x,u,u),z,y). [para(5232(a,2),5951(a,1,2))]. 5953 a(a(x,y,y),z,u) = a(y,a(u,z,y),x). [hyper(5726,a,5952,a),flip(a)]. 5954 a(x,a(y \ z,y,x),u) = a(u,x,a(z \ y,y,x)). [hyper(64,a,5950,a(flip),b,5953,a),flip(a)]. 5955 a(x,y,a((z * u) \ z,z,y)) = a(y,a(u,z,y),x). [para(9(a,1),5954(a,1,2,1)),flip(a)]. 5956 a(x,y,a(z \ (z / u),z,y)) = a(y,a(u,z,y),x). [para(320(a,1),5955(a,1,3,1))]. 5957 a(x,a(y,z,x),u) = a(u,x,a(x,z,y)). [para(5398(a,1),5956(a,1,3)),flip(a)]. 5958 a(a(x,y,y),z,u) = a(x,y,a(y,z,u)). [hyper(64,a,5953,a,b,5957,a)]. 5959 a(a(x,y,y),z,u) = 1. [hyper(306,a,5680,a(flip),b,5958,a),flip(a)]. 5960 a(x,y,a(z,u,u)) = 1. [hyper(5726,a,5959,a)]. 5962 a(x,y,a(z,z,u)) = 1. [hyper(64,a,5573,a(flip),b,5959,a)]. 5963 L(x,y,a(z,u,u)) = x. [hyper(53,a,5959,a)]. 5964 (x * (y * a(z,u,u))) \ (a(z,u,u) * (x * y)) = 1. [hyper(64,a,4889,a,b,5960,a)]. 5965 L(a(x,y,y),z,u) = a(x,y,y). [hyper(53,a,5960,a)]. 5967 L(a(x,x,y),z,u) = a(x,x,y). [hyper(53,a,5962,a)]. 5969 R(x,y,a(z,u,u)) = x. [hyper(5724,a,5963,a)]. 5971 (a(x,y,y) * z) \ u = z \ (a(x,y,y) \ u). [hyper(64,a,293,a(flip),b,5963,a)]. 5972 a(x,y,y) * ((a(x,y,y) \ z) / u) = z / u. [hyper(196,a,5963,a(flip),b,3581,a(flip)),flip(a)]. 5973 (a(x,y,y) * z) * u = a(x,y,y) * (z * u). [hyper(121,a,5963,a(flip),b,3162,a(flip))]. 5974 (x * y) * a(z,u,u) = x * (y * a(z,u,u)). [para(5963(a,1),4094(a,1,1)),flip(a)]. 5975 L(x,y,a(z,z,u)) = x. [para(5230(a,1),5963(a,1,3))]. 5977 R(x,y,a(z,u,u)) != w | x = w. [para(5969(a,1),52(a,2))]. 5978 x \ (y * a(z,u,u)) = (x \ y) * a(z,u,u). [para(5969(a,1),618(a,1,1))]. 5980 (x \ 1) * a(y,y,z) = x \ a(y,y,z). [hyper(64,a,5407,a(flip),b,5975,a),flip(a)]. 5981 (a(x,x,y) * z) \ u = z \ (a(x,x,y) \ u). [hyper(64,a,293,a(flip),b,5975,a)]. 5982 x / (y \ (a(z,z,u) \ x)) = a(z,z,u) * y. [hyper(196,a,5975,a(flip),b,293,a(flip))]. 5983 (a(x,x,y) * z) * u = a(x,x,y) * (z * u). [hyper(121,a,5975,a(flip),b,3162,a(flip))]. 5984 L(x,y,a(z,z,u)) != w | x = w. [para(5975(a,1),51(a,2))]. 5985 (a(x,x,y) * z) * u != w | a(x,x,y) * (z * u) = w. [para(5975(a,1),285(a,1,2))]. 5986 (x * y) * a(z,z,u) = x * (y * a(z,z,u)). [para(5975(a,1),4094(a,1,1)),flip(a)]. 5989 (x * y) / a(z,u,u) = x * (y / a(z,u,u)). [hyper(196,a,5965,a(flip),b,97,a(flip))]. 5991 R(a(x,x,y),z,u) = a(x,x,y). [hyper(5724,a,5967,a)]. 5992 a(x,x,L(y,z,u)) = a(x,x,y). [hyper(64,a,5310,a,b,5967,a)]. 5994 a(x,x,y) \ (z * u) = (a(x,x,y) \ z) * u. [para(5991(a,1),618(a,1,1))]. 5996 a(x,x,y) * (z \ 1) = z \ a(x,x,y). [hyper(4921,a,5980,a)]. 5997 (x * a(y,z,z)) \ u = x \ (a(y,z,z) \ u). [para(4883(a,1),5971(a,1,1))]. 5998 (a(x,y,y) \ z) / u = a(x,y,y) \ (z / u). [hyper(125,a,5972,a),flip(a)]. 5999 (x * a(y,z,z)) * u = a(y,z,z) * (x * u). [para(4883(a,1),5973(a,1,1))]. 6000 R((x / a(y,z,z)) / (u * w),u * w,a(y,z,z)) = x / (u * (w * a(y,z,z))). [para(5974(a,1),297(a,2,2))]. 6001 x / (y \ (x / a(z,z,u))) = a(z,z,u) * y. [para(4916(a,2),5982(a,1,2,2))]. 6002 (x * (a(y,y,z) * (u * w))) \ ((x * (a(y,y,z) * u)) * w) = a(x,a(y,y,z) * u,w). [para(5983(a,1),14(a,2,1,2)),flip(a)]. 6003 (a(x,x,y) * (z * u)) \ ((a(x,x,y) * z) * (u * w)) = L(w,u,a(x,x,y) * z). [para(5983(a,1),18(a,2,1)),flip(a)]. 6004 (x * (a(y,y,z) * u)) \ (x * (a(y,y,z) * (u * w))) != v5 | L(w,a(y,y,z) * u,x) = v5. [para(5983(a,1),597(a,1,2,2))]. 6005 (a(x,x,y) * (z * u)) * (u \ 1) = L(a(x,x,y) * z,u,u \ 1). [para(5983(a,1),2131(a,1,1))]. 6006 a(x,x,y) * ((z \ 1) * u) = (z \ a(x,x,y)) * u. [para(5996(a,1),5983(a,1,1)),flip(a)]. 6007 x * ((y * a(x,z,z \ y)) * a(u,u,w)) = ((x * z) * (z \ y)) * a(u,u,w). [para(4552(a,1),5986(a,1,1)),flip(a)]. 6008 T(x,y * (z * a(u,u,w))) = T(x,y * z). [para(5986(a,1),5008(a,1,2))]. 6009 T(x,y * (L(z,z,u) \ w)) = T(x,y * (z \ w)). [para(5587(a,1),6008(a,1,2,2)),flip(a)]. 6010 a(x,y,y) \ (z * u) = z * (u / a(x,y,y)). [hyper(4887,a,5989,a)]. 6011 a(x,x,y) \ z != (a(x,x,y) \ u) * w | u * w = z. [para(5994(a,1),48(a,1)),flip(a)]. 6012 (x * (y * a(z,u,u))) \ (a(z,u,u) * (x * y)) = a(x,a(z,u,u),y). [para(5999(a,1),4890(a,1,2))]. 6013 (x * a(y,y,z)) / (u \ x) = a(y,y,z) * u. [para(11(a,1),6001(a,1,2,2))]. 6014 a(x,y,y) \ (z * u) = z * (a(x,y,y) \ u). [para(4882(a,1),6010(a,2,2))]. 6015 (T(x,y) * a(z,z,u)) / y = a(z,z,u) * (y \ x). [para(830(a,1),6013(a,1,2))]. 6016 x * (a(y,z,z) * (x \ u)) = a(y,z,z) * u. [hyper(665,a,6014,a),flip(a)]. 6017 a(x,y,y) * (z \ (a(x,y,y) \ u)) = z \ u. [hyper(118,a,10,a(flip),b,6016,a),flip(a)]. 6018 T(x,y * ((z \ 1) * u)) = T(x,y * (z \ u)). [para(5303(a,1),6009(a,1,2,2))]. 6019 T(x,((y \ 1) * z) \ u) = T(x,u * (z \ y)). [hyper(3489,a,6018,a)]. 6020 T(x,y * (y * (z * (u \ 1)))) = T(x,(y * y) * (u \ z)). [hyper(64,a,5014,a(flip),b,6018,a)]. 6021 T(x,a((y / z) \ 1,u,w) * ((z \ y) \ (u * w))) = T(x,w * (((z \ y) \ 1) * u)). [hyper(64,a,4379,a(flip),b,6018,a),flip(a)]. 6022 T(x,y * ((z \ 1) \ u)) = T(x,y * (z * u)). [para(326(a,1),6018(a,1,2,2,1)),flip(a)]. 6023 T(x,y * (z \ (u \ 1))) = T(x,(u * z) \ y). [para(326(a,1),6019(a,1,2,1,1)),flip(a)]. 6024 T(x,y \ ((z \ 1) \ u)) = T(x,(y \ 1) * (z * u)). [hyper(3490,a,6022,a)]. 6025 T(x,((y \ z) * u) \ w) = T(x,w * (u \ (z \ y))). [hyper(64,a,4331,a(flip),b,6023,a),flip(a)]. 6027 a(x,x,y) * L(z,u,u \ 1) = (u \ a(x,x,y)) * (u * z). [para(714(a,1),6006(a,1,2))]. 6028 T(a(x,x,y) * z,u) / u = a(x,x,y) * (u \ z). [para(4926(a,2),6015(a,1,1))]. 6029 T(x,y \ ((z \ 1) \ u)) = T(x,y \ (z * u)). [hyper(306,a,3470,a(flip),b,6024,a),flip(a)]. 6030 T(x,((y \ 1) \ z) * (u \ w)) = T(x,(w \ u) \ (y * z)). [hyper(64,a,4052,a(flip),b,6029,a)]. 6031 T(x,y \ ((z \ 1) * u)) = T(x,y \ (z \ u)). [para(326(a,1),6029(a,1,2,2,1)),flip(a)]. 6032 T(x \ y,z \ (u * w)) * T(x,z \ ((u \ 1) \ w)) = T(y,x * (z \ ((u \ 1) \ w))). [para(6029(a,1),4122(a,1,1))]. 6033 T(x,((y \ 1) * z) \ (y \ (u * z))) = T(x,L(T(u,z),z,y \ 1)). [para(224(a,1),6031(a,1,2)),flip(a)]. 6035 T(x,(y * (z \ u)) \ w) = T(x,w * (y \ (u \ z))). [hyper(64,a,2977,a,b,6025,a)]. 6036 x \ (a(y,y,z) * u) = a(y,y,z) * (x \ u). [hyper(839,a,6028,a)]. 6037 a(x,x,y) * (z \ (a(x,x,y) \ u)) = z \ u. [para(10(a,1),6036(a,1,2)),flip(a)]. 6038 x \ (y * a(z,z,u)) = a(z,z,u) * (x \ y). [para(4917(a,1),6036(a,1,2))]. 6039 a(x,x,y) \ (z \ u) = z \ (a(x,x,y) \ u). [hyper(125,a,6037,a)]. 6040 (x * y) \ (a(z,z,u) \ (x * (y * w))) = a(z,z,u) \ L(w,y,x). [hyper(118,a,18,a,b,6037,a),flip(a)]. 6041 a(x,x,y) * (z \ (L(u * a(x,x,y),w,v5) / a(x,x,y))) = z \ L(a(x,x,y) * u,w,v5). [para(1039(a,2),6037(a,1,2,2))]. 6042 a(x,x,y) * (z \ ((a(x,x,y) \ 1) * L(u / (a(x,x,y) \ 1),w,v5))) = z \ L(u * a(x,x,y),w,v5). [para(2112(a,2),6037(a,1,2,2))]. 6043 x \ y != a(z,z,u) * (x \ w) | w * a(z,z,u) = y. [para(6038(a,1),48(a,1)),flip(a)]. 6044 (a(x,x,y) * z) \ u = a(x,x,y) \ (z \ u). [hyper(306,a,5981,a,b,6039,a)]. 6045 a(x,x,y) * (z \ (a(x,x,y) \ u)) != w | z \ u = w. [para(6039(a,1),262(a,1,2)),flip(b)]. 6046 L(x \ (a(y,y,z) \ (u \ w)),x,u) = (u * x) \ (a(y,y,z) \ w). [para(6039(a,2),293(a,1,1,2))]. 6047 x / ((y \ x) * a(z,u,u)) = a(u,u,z) * y. [hyper(196,a,5576,a(flip),b,6044,a)]. 6048 (x * a(y,y,z)) \ u = a(y,y,z) \ (x \ u). [para(4917(a,1),6044(a,1,1))]. 6049 x / y != a(z,z,u) * w | (w \ x) * a(u,z,z) = y. [para(6047(a,1),46(a,1)),flip(a)]. 6050 a(x,x,y) \ (z \ T(u,(z * a(x,x,y)) \ 1)) = u / (z * a(x,x,y)). [hyper(2059,a,6048,a),flip(a)]. 6051 T(x,(y * (z / u)) \ w) = T(x,w * (y \ (z \ u))). [hyper(64,a,3494,a,b,6035,a)]. 6052 T(x,y * ((z \ u) \ (w \ v5))) = T(x,y * ((w / v5) \ (u \ z))). [hyper(64,a,6025,a(flip),b,6051,a),flip(a)]. 6053 T(x,y * (y * (z * (u \ 1)))) = T(x,y * ((z \ u) \ y)). [hyper(306,a,4173,a(flip),b,6020,a),flip(a)]. 6054 T(x,((y \ 1) \ z) * (u \ w)) = T(x,(y * z) * (u \ w)). [hyper(306,a,4052,a(flip),b,6030,a),flip(a)]. 6055 T(x,((y \ 1) \ z) * (u \ y)) = T(x,y * ((z \ u) \ y)). [hyper(64,a,5018,a,b,6053,a)]. 6056 T(x,(y * z) * (u \ y)) = T(x,y * ((z \ u) \ y)). [hyper(64,a,6054,a(flip),b,6055,a)]. 6057 T(x,(y * z) * (u \ y)) = T(x,y * (y * (u \ z))). [hyper(306,a,5013,a(flip),b,6056,a),flip(a)]. 6058 T(x,y * (y * (z \ (y \ u)))) = T(x,u * (z \ y)). [para(10(a,1),6057(a,1,2,1)),flip(a)]. 6059 T(x,y * (y * (z * (z * (u \ (z \ w)))))) = T(T(x,y * y),w * (u \ z)). [hyper(64,a,4130,a(flip),b,6058,a)]. 6060 T(x,y * ((z \ y) \ z)) = T(x,z * z). [para(166(a,1),6058(a,1,2,2)),flip(a)]. 6061 T(x,(y * z) * ((y * z) * (u \ (z \ (y \ 1))))) = T(x,a(z,z,y) * (u \ (y * z))). [para(5375(a,1),6058(a,1,2,2,2,2))]. 6062 T(x,y * ((y \ z) * z)) = T(x,z * z). [para(912(a,1),6060(a,1,2,2))]. 6063 T(x,L(y,z,z) * (z * (y / (z \ 1)))) = T(x,(y / (z \ 1)) * (y / (z \ 1))). [para(5390(a,1),6062(a,1,2,2,1))]. 6064 a(x,x,y) * ((z * u) * (u \ 1)) = L(a(x,x,y) * z,u,u \ 1). [hyper(5985,a,6005,a)]. 6065 L(a(x,x,y) * z,u,u \ 1) = a(x,x,y) * L(z,u,u \ 1). [para(2131(a,1),6064(a,1,2)),flip(a)]. 6066 L(a(x,x,y) * z,u,u \ 1) = (u \ a(x,x,y)) * (u * z). [hyper(306,a,6027,a(flip),b,6065,a),flip(a)]. 6067 a(x,a(y,z,z),u) = 1. [hyper(64,a,5964,a(flip),b,6012,a),flip(a)]. 6069 L(x,a(y,z,z),u) = x. [hyper(53,a,6067,a)]. 6071 R(x,a(y,z,z),u) = x. [hyper(5724,a,6069,a)]. 6073 (x * a(y,z,z)) * u = x * (a(y,z,z) * u). [hyper(121,a,6069,a(flip),b,18,a(flip))]. 6074 L(x,a(y,y,z),u) = x. [para(5230(a,1),6069(a,1,2))]. 6075 R(x,a(y,z,z),u) != w | w = x. [para(6071(a,1),52(a,1)),flip(a)]. 6079 (x * a(y,y,z)) * u = x * (a(y,y,z) * u). [hyper(121,a,6074,a(flip),b,18,a(flip))]. 6080 (x * (y * (a(z,z,u) * w))) \ ((x * (y * a(z,z,u))) * w) = a(x,y * a(z,z,u),w). [para(6079(a,1),14(a,2,1,2)),flip(a)]. 6081 (x * (a(y,y,z) * u)) \ ((x * a(y,y,z)) * (u * w)) = L(w,u,x * a(y,y,z)). [para(6079(a,1),18(a,2,1)),flip(a)]. 6082 ((x * (a(y,y,z) * u)) * w) / (u * w) = R(x * a(y,y,z),u,w). [para(6079(a,1),20(a,2,1,1)),flip(a)]. 6083 (x \ 1) * (a(y,y,z) * u) = (x \ a(y,y,z)) * u. [para(5980(a,1),6079(a,1,1)),flip(a)]. 6084 (x * (y * a(z,z,u))) * w = (x * y) * (a(z,z,u) * w). [para(5986(a,1),6079(a,1,1))]. 6085 L(a(x,x,y) * z,u,u \ 1) = u * ((u \ a(x,x,y)) * z). [para(6083(a,1),2323(a,1,2)),flip(a)]. 6086 (x * (a(y,y,z) * u)) * w = (x * u) * (a(y,y,z) * w). [para(4917(a,2),6084(a,1,1,2))]. 6087 (x \ a(y,y,z)) * (x * u) = x * ((x \ a(y,y,z)) * u). [hyper(64,a,6066,a(flip),b,6085,a)]. 6088 L(x * a(y,y,z),u,u \ 1) = u * ((u \ a(y,y,z)) * x). [para(4917(a,1),6085(a,1,1))]. 6089 R(x * a(y,y,z),u,x \ (x / (a(y,y,z) * u))) = x / (u * (x \ (x / (a(y,y,z) * u)))). [para(381(a,1),6082(a,1,1)),flip(a)]. 6090 a(x,x,y) \ (z \ T(u,a(x,x,y) \ (z \ 1))) = u / (z * a(x,x,y)). [para(3436(a,1),6050(a,1,2,2))]. 6091 a(x,x,y) \ (z \ T(u,z \ 1)) = u / (z * a(x,x,y)). [para(5010(a,1),6090(a,1,2,2))]. 6092 x / (y * a(z,z,u)) = a(z,z,u) \ (x / y). [para(2042(a,1),6091(a,1,2)),flip(a)]. 6094 x / (a(y,y,z) * u) = a(y,y,z) \ (x / u). [para(4917(a,2),6092(a,1,2))]. 6095 T(x,y * (y * (z * (z * (u \ (z \ w)))))) = T(x,y * (y * (w * (u \ z)))). [hyper(306,a,4130,a(flip),b,6059,a),flip(a)]. 6096 x * ((y * a(x,z,z \ y)) * a(u,u,w)) = (x * z) * ((z \ y) * a(u,u,w)). [hyper(306,a,5986,a(flip),b,6007,a),flip(a)]. 6097 T(x,L(y,z,z) * (z * ((z \ 1) \ y))) = T(x,(y / (z \ 1)) * (y / (z \ 1))). [hyper(3338,a,6063,a)]. 6098 x * (y * (a(x,z,z \ y) * a(u,u,w))) = (x * z) * ((z \ y) * a(u,u,w)). [para(5986(a,1),6096(a,1,2))]. 6099 T(x,L(y,z,z) * (z * ((z \ 1) \ y))) != u | T(x,(y / (z \ 1)) * (y / (z \ 1))) = u. [para(6097(a,2),1529(a,1))]. 6100 x * (y * (a(x,x,y) * a(z,z,u))) = (x * x) * ((x \ y) * a(z,z,u)). [para(4291(a,1),6098(a,1,2,2,1))]. 6101 R((a(x,y,y) \ z) / (u * w),u * w,a(x,y,y)) = z / (u * (w * a(x,y,y))). [para(4882(a,1),6000(a,1,1,1))]. 6102 (a(x,x,y) * (z * u)) \ (a(x,x,y) * (z * (u * w))) = L(w,u,a(x,x,y) * z). [para(5983(a,1),6003(a,1,2))]. 6103 (x * (a(y,y,z) * u)) \ (x * (a(y,y,z) * (u * w))) = L(w,u,x * a(y,y,z)). [para(6079(a,1),6081(a,1,2))]. 6104 R(a(x,y,y) \ (z / (u * w)),u * w,a(x,y,y)) = z / (u * (w * a(x,y,y))). [para(5998(a,1),6101(a,1,1))]. 6105 L(L(x,y,z),z * y,a(u,u,w)) = L(x,y,a(u,u,w) * z). [hyper(1163,a,6102,a)]. 6106 L(x,y,a(z,z,u) * w) = L(x,y,w). [hyper(5984,a,6105,a),flip(a)]. 6108 L(x,y,z * a(u,u,w)) = L(x,y,z). [para(4917(a,1),6106(a,1,3))]. 6109 L(x,y,z \ (a(u,u,w) \ v5)) = L(x,y,z \ v5). [para(6037(a,1),6106(a,1,3)),flip(a)]. 6110 x / (y * (z * a(u,w,w))) != v5 | a(u,w,w) \ (x / (y * z)) = v5. [para(6104(a,1),5977(a,1))]. 6111 T(x,((y \ z) \ (u * w)) * a((z / y) \ 1,u,w)) = T(x,w * (((y \ z) \ 1) * u)). [hyper(1529,a,6021,a)]. 6112 T(x,(y * z) * ((y * z) * (u \ (z \ (y \ 1))))) = T(x,u \ (y * z)). [hyper(306,a,5011,a(flip),b,6061,a),flip(a)]. 6114 T(x,((y \ z) \ (u * w)) * a((z / y) \ 1,u,w)) = T(x,w * ((y \ z) \ u)). [hyper(306,a,6018,a(flip),b,6111,a),flip(a)]. 6115 T(x \ y,z \ (u * w)) * T(x,z \ (u * w)) = T(y,x * (z \ ((u \ 1) \ w))). [para(6029(a,1),6032(a,1,2))]. 6116 T(x,y * (z \ ((u \ 1) \ w))) = T(x,y * (z \ (u * w))). [hyper(64,a,4122,a(flip),b,6115,a),flip(a)]. 6117 T(x,y * (((z \ 1) / u) \ (w \ v5))) = T(x,y * ((v5 \ w) \ (z * u))). [hyper(64,a,6052,a(flip),b,6116,a)]. 6118 (x * (y * (a(z,z,u) * w))) \ ((x * y) * (a(z,z,u) * w)) = a(x,y * a(z,z,u),w). [para(6084(a,1),6080(a,1,2))]. 6119 a(x,y * a(z,z,u),w) = a(x,y,a(z,z,u) * w). [hyper(1084,a,6118,a),flip(a)]. 6120 a(x,a(y,y,z) * u,w) = a(x,u,a(y,y,z) * w). [para(4917(a,2),6119(a,1,2))]. 6121 (x * (a(y,y,z) * (u * w))) \ ((x * (a(y,y,z) * u)) * w) = a(x,u,a(y,y,z) * w). [hyper(64,a,6002,a,b,6120,a)]. 6122 (x * (a(y,y,z) * (u * w))) \ ((x * u) * (a(y,y,z) * w)) = a(x,u,a(y,y,z) * w). [para(6086(a,1),6121(a,1,2))]. 6123 L(x,a(y,y,z) * u,w) = L(x,u,w * a(y,y,z)). [hyper(6004,a,6103,a)]. 6124 L((a(x,x,y) * z) \ (u \ w),z,u * a(x,x,y)) = (u * (a(x,x,y) * z)) \ w. [hyper(64,a,293,a(flip),b,6123,a),flip(a)]. 6125 L(x \ (a(y,y,z) \ (u \ w)),x,u * a(y,y,z)) = (u * (a(y,y,z) * x)) \ w. [para(5981(a,1),6124(a,1,1))]. 6126 L(x \ (a(y,y,z) \ (u \ w)),x,u) = (u * (a(y,y,z) * x)) \ w. [hyper(64,a,6108,a(flip),b,6125,a)]. 6128 (x * (a(y,y,z) * u)) \ w = (x * u) \ (a(y,y,z) \ w). [hyper(64,a,6046,a(flip),b,6126,a),flip(a)]. 6129 (x * (y * z)) \ (a(u,u,w) \ ((x * y) * (a(u,u,w) * z))) = a(x,y,a(u,u,w) * z). [hyper(64,a,6122,a(flip),b,6128,a),flip(a)]. 6130 a(x,x,y) \ (z * (a(x,x,y) * u)) = z * u. [hyper(1078,a,6128,a(flip))]. 6131 a(x,x,y) \ (z * u) = z * (a(x,x,y) \ u). [para(10(a,1),6130(a,1,2,2))]. 6132 (a(x,x,y) \ z) * u = z * (a(x,x,y) \ u). [hyper(6011,a,6131,a),flip(a)]. 6133 a(x,x,y) \ z != u * (a(x,x,y) \ w) | u * w = z. [para(6131(a,1),48(a,1)),flip(a)]. 6134 (x * y) \ (x * (a(z,z,u) \ (y * w))) = a(z,z,u) \ L(w,y,x). [para(6131(a,1),6040(a,1,2))]. 6135 x / (a(y,y,z) \ u) = a(y,y,z) * (x / u). [hyper(691,a,6132,a)]. 6136 (x * y) \ (x * (y * (a(z,z,u) \ w))) = a(z,z,u) \ L(w,y,x). [para(6131(a,1),6134(a,1,2,2))]. 6137 L(a(x,x,y) \ z,u,w) = a(x,x,y) \ L(z,u,w). [hyper(597,a,6136,a)]. 6138 L(x,y,z) / (u \ L(a(w,w,v5) \ x,y,z)) = a(w,w,v5) * u. [para(6137(a,2),5982(a,1,2,2))]. 6139 L(x,y,z) / (u \ L(x * a(w,v5,v5),y,z)) = a(v5,v5,w) * u. [para(5576(a,1),6138(a,1,2,2,1))]. 6140 x \ L(y * a(z,u,u),w,v5) = (x \ L(y,w,v5)) * a(z,u,u). [hyper(6049,a,6139,a),flip(a)]. 6141 x \ L(a(y,z,z) * u,w,v5) = (x \ L(u,w,v5)) * a(y,z,z). [para(4883(a,2),6140(a,1,2,1))]. 6142 L(a(x,y,y) * z,u,w) = L(z,u,w) * a(x,y,y). [hyper(6011,a,6141,a),flip(a)]. 6143 L(a(x,y,y) * z,u,w) = a(x,y,y) * L(z,u,w). [hyper(306,a,4883,a,b,6142,a),flip(a)]. 6144 L(a(x,y,y) * y,y,x) = y. [hyper(306,a,5290,a(flip),b,6143,a),flip(a)]. 6145 a(x,y,y) * L(a(x,y,y) \ z,u,w) = L(z,u,w). [para(10(a,1),6143(a,1,1)),flip(a)]. 6146 L(x * a(y,x,x),x,y) = x. [para(2554(a,1),6144(a,1,1))]. 6147 L((x * a(y,x,x)) * L((x * a(y,x,x)) \ 1,z,u),x,y) = x * L(L(x * a(y,x,x),x,y) \ 1,z,u). [para(6146(a,1),4727(a,1,1)),flip(a)]. 6148 L(a(x,y,y) \ z,u,w) = a(x,y,y) \ L(z,u,w). [hyper(125,a,6145,a),flip(a)]. 6150 a(x,y,a(z,z,u) * w) = (x * (y * w)) \ ((x * y) * w). [para(6130(a,1),6129(a,1,2)),flip(a)]. 6151 a(x,y,a(z,z,u) * w) = a(x,y,w). [hyper(306,a,14,a,b,6150,a),flip(a)]. 6153 a(x,y,(z * z) * u) = a(x,y,z * (z * u)). [para(4240(a,1),6151(a,1,3))]. 6155 a(x,x,y) * (z \ (a(x,x,y) \ L(u * a(x,x,y),w,v5))) = z \ L(a(x,x,y) * u,w,v5). [para(4916(a,1),6041(a,1,2,2))]. 6156 R(x * a(y,y,z),u,x \ (a(y,y,z) \ (x / u))) = x / (u * (x \ (x / (a(y,y,z) * u)))). [para(6094(a,1),6089(a,1,3,2))]. 6157 x \ L(a(y,y,z) * u,w,v5) = x \ L(u * a(y,y,z),w,v5). [hyper(6045,a,6155,a),flip(a)]. 6159 R(x * a(y,y,z),u,x \ (a(y,y,z) \ (x / u))) = x / (u * (x \ (a(y,y,z) \ (x / u)))). [para(6094(a,1),6156(a,2,2,2,2))]. 6160 L(x * a(y,y,z),u,x \ (a(y,y,z) \ (x / u))) = x / (u * (x \ (a(y,y,z) \ (x / u)))). [hyper(64,a,4098,a,b,6159,a)]. 6161 x / (y * (x \ (a(z,z,u) \ (x / y)))) = L(x * a(z,z,u),y,x \ (x / y)). [hyper(64,a,6109,a(flip),b,6160,a),flip(a)]. 6163 x / (y * (x \ ((x / y) * a(z,u,u)))) = L(x * a(u,u,z),y,x \ (x / y)). [para(5576(a,1),6161(a,1,2,2,2))]. 6164 x / (y * ((x \ (x / y)) * a(z,u,u))) = L(x * a(u,u,z),y,x \ (x / y)). [para(5978(a,1),6163(a,1,2,2))]. 6165 a(x,y,y) \ (z / (u * (z \ (z / u)))) = L(z * a(y,y,x),u,z \ (z / u)). [hyper(6110,a,6164,a)]. 6166 L(x * a(y,y,z),u,x \ (x / u)) = a(z,y,y) \ L(x,u,u \ x). [para(3150(a,1),6165(a,1,2)),flip(a)]. 6167 L(x * a(y,y,z),u,x \ (x / u)) = L(a(z,y,y) \ x,u,u \ x). [hyper(306,a,6148,a,b,6166,a),flip(a)]. 6168 L(x * a(y,y,z),u,x \ (x / u)) = L(a(y,y,z) * x,u,u \ x). [para(5569(a,1),6167(a,2,1))]. 6169 a(x,x,y) * (z \ ((a(x,x,y) \ 1) * L(a(x,x,y) * (u / 1),w,v5))) = z \ L(u * a(x,x,y),w,v5). [para(6135(a,1),6042(a,1,2,2,2,1))]. 6170 a(x,x,y) * (z \ ((a(x,x,y) \ 1) * L(a(x,x,y) * u,w,v5))) = z \ L(u * a(x,x,y),w,v5). [para(74(a,1),6169(a,1,2,2,2,1,2))]. 6171 a(x,x,y) * (z \ (1 * (a(x,x,y) \ L(a(x,x,y) * u,w,v5)))) = z \ L(u * a(x,x,y),w,v5). [para(6132(a,1),6170(a,1,2,2))]. 6172 a(x,x,y) * (z \ (1 * L(a(x,x,y) \ (a(x,x,y) * u),w,v5))) = z \ L(u * a(x,x,y),w,v5). [para(6137(a,2),6171(a,1,2,2,2))]. 6173 a(x,x,y) * (z \ (1 * L(u,w,v5))) = z \ L(u * a(x,x,y),w,v5). [para(9(a,1),6172(a,1,2,2,2,1))]. 6174 x \ L(y * a(z,z,u),w,v5) = a(z,z,u) * (x \ L(y,w,v5)). [para(7(a,1),6173(a,1,2,2)),flip(a)]. 6175 x \ L(a(y,y,z) * u,w,v5) = a(y,y,z) * (x \ L(u,w,v5)). [hyper(64,a,6157,a,b,6174,a)]. 6176 L(a(x,x,y) * z,u,w) = a(x,x,y) * L(z,u,w). [hyper(6133,a,6175,a),flip(a)]. 6177 L(a(x,x,y) * z,u,w) = L(z,u,w) * a(x,x,y). [hyper(6043,a,6175,a),flip(a)]. 6178 L(a(x,x,y) * y,x,x) = y. [hyper(306,a,5410,a(flip),b,6176,a),flip(a)]. 6179 L(x * a(y,y,x),y,y) = x. [para(2554(a,1),6178(a,1,1))]. 6180 L(L(a(x,x,L(y,z,u)) * y,z,u),x,x) = L(y,z,u). [para(6176(a,2),6178(a,1,1))]. 6181 L((x * a(y,y,x)) * L((x * a(y,y,x)) \ 1,z,u),y,y) = x * L(L(x * a(y,y,x),y,y) \ 1,z,u). [para(6179(a,1),4727(a,1,1)),flip(a)]. 6182 L(((x * x) * y) * a(z,z,x * (x * y)),z,z) = (x * x) * y. [para(6153(a,1),6179(a,1,1,2))]. 6183 L(a(x,x,y) * z,u,w \ z) = z * (a(w,u,z) * a(x,x,y)). [hyper(306,a,5740,a(flip),b,6177,a),flip(a)]. 6184 L(x * ((x \ a(y,y,L(z,x,x \ 1))) * z),y,y) = L(z,x,x \ 1). [para(6085(a,1),6180(a,1,1))]. 6185 L(((x * x) * (x \ y)) * a(z,z,x * y),z,z) = (x * x) * (x \ y). [para(10(a,1),6182(a,1,1,2,3,2))]. 6186 L(x * (x * ((x \ a(y,y,L(x * z,x,x \ 1))) * z)),y,y) = L(x * z,x,x \ 1). [para(6087(a,1),6184(a,1,1,2))]. 6187 L((x * x) * ((x \ y) * a(z,z,x * y)),z,z) = (x * x) * (x \ y). [para(5986(a,1),6185(a,1,1))]. 6188 L(x * (x * ((x \ a(y,y,x * z)) * z)),y,y) = L(x * z,x,x \ 1). [para(5992(a,1),6186(a,1,1,2,2,1,2))]. 6190 L((x * a(y,x,x)) * L((x * a(y,x,x)) \ 1,z,u),x,y) = x * L(x \ 1,z,u). [para(6146(a,1),6147(a,2,2,1,1))]. 6191 L((x * a(y,x,x)) * L(x \ (a(y,x,x) \ 1),z,u),x,y) = x * L(x \ 1,z,u). [para(5997(a,1),6190(a,1,1,2,1))]. 6192 L(x * (a(y,x,x) * L(x \ (a(y,x,x) \ 1),z,u)),x,y) = x * L(x \ 1,z,u). [para(6073(a,1),6191(a,1,1))]. 6193 L(x * L(a(y,x,x) * (x \ (a(y,x,x) \ 1)),z,u),x,y) = x * L(x \ 1,z,u). [para(6143(a,2),6192(a,1,1,2))]. 6194 L(x * L(x \ 1,y,z),x,u) = x * L(x \ 1,y,z). [para(6017(a,1),6193(a,1,1,2,1))]. 6195 (x * y) * (y * L(y \ 1,z,u)) = x * (y * (y * L(y \ 1,z,u))). [hyper(121,a,6194,a(flip),b,18,a(flip))]. 6197 (x * (y * L(y \ 1,z,u))) * y = x * (y * (y * L(y \ 1,z,u))). [hyper(64,a,2623,a,b,6195,a)]. 6198 R(x,y,x * L(x \ 1,z,u)) = (w * (x * L(x \ 1,v5,v6))) \ (w * (x * (x * L(x \ 1,v5,v6)))). [para(6197(a,1),4745(a,2,2))]. 6199 R(x,y,x * L(x \ 1,z,u)) = L(T(x,x * L(x \ 1,w,v5)),x * L(x \ 1,w,v5),v6). [hyper(306,a,224,a(flip),b,6198,a),flip(a)]. 6200 R(x,y,x * L(x \ 1,z,u)) = L(x,x * L(x \ 1,w,v5),v6). [para(1180(a,1),6199(a,2,1))]. 6201 L(x,x * L(x \ 1,y,z),u) = x. [hyper(6075,a,6200,a)]. 6202 L(R(x \ 1,y,z),x,u) * u = L(x,y \ 1,z \ 1) \ u. [para(6201(a,1),4389(a,1,1,1)),flip(a)]. 6203 (x * R(x \ 1,y,z)) * (x \ u) = L(x,y \ 1,z \ 1) \ u. [hyper(64,a,2597,a(flip),b,6202,a)]. 6204 (x * L(x \ 1,y,z)) * (x \ u) = L(x,y \ 1,z \ 1) \ u. [para(4097(a,1),6203(a,1,1,2))]. 6206 ((x / (x * y)) * L((x / (x * y)) \ 1,z,u)) * x = L(x / (x * y),z \ 1,u \ 1) \ (x / y). [para(396(a,1),6204(a,1,2))]. 6207 T(x,(y \ z) * (y * L(y \ 1,u,w))) = T(x,L(y,u \ 1,w \ 1) \ z). [para(6204(a,1),1479(a,1,2)),flip(a)]. 6208 L(x,y \ 1,z \ 1) \ u = a(x \ 1,y,z) * (x \ u). [para(5690(a,1),6204(a,1,1)),flip(a)]. 6210 T(x,a((y / z) \ 1,u,w) * ((z \ y) \ v5)) = T(x,L(y / z,u \ 1,w \ 1) \ v5). [para(6208(a,2),3097(a,1,2)),flip(a)]. 6212 T(x,(y \ z) * (y * L(y \ 1,u,w))) != v5 | T(x,z * L(y \ 1,u,w)) = v5. [para(6207(a,2),4119(a,1))]. 6213 T(x,a((y / z) \ 1,u,w) * ((z \ y) \ v5)) = T(x,v5 * L((y / z) \ 1,u,w)). [hyper(306,a,4112,a(flip),b,6210,a),flip(a)]. 6214 L(x / (x * y),z \ 1,u \ 1) \ (x / y) = (x / (L((x * y) / x,z,u) \ (x * y))) * x. [para(4138(a,1),6206(a,1,1)),flip(a)]. 6215 L(x / (x * y),z \ 1,u \ 1) \ (x / y) = (x / (L(x * (y / x),z,u) \ (x * y))) * x. [para(850(a,1),6214(a,2,1,2,1,1))]. 6216 L(x / (x * y),z \ 1,u \ 1) \ (x / y) = (x / ((x / L(y,z,u)) * y)) * x. [para(3497(a,1),6215(a,2,1,2))]. 6217 L(x / (x * y),z \ 1,u \ 1) \ (x / y) = x * (((x / L(y,z,u)) * y) \ x). [hyper(306,a,398,a(flip),b,6216,a),flip(a)]. 6218 L(x / (x * y),z \ 1,u \ 1) \ (x / y) = (x / y) * L(y,z,u). [hyper(306,a,195,a(flip),b,6217,a),flip(a)]. 6219 x / (y * L(y \ 1,z \ 1,u \ 1)) = (x / y) * L(y,z,u). [hyper(64,a,4141,a(flip),b,6218,a)]. 6220 x / (y * (L(y,z,u) \ 1)) = (x / y) * L(y,z,u). [para(4105(a,1),6219(a,1,2,2))]. 6221 x / (L(y,z,u) \ y) = (x / y) * L(y,z,u). [para(1199(a,1),6220(a,1,2))]. 6222 L(L(x,y,z) \ x,L(x,y,z),u) = L(x,y,z) \ x. [hyper(1615,a,6221,a)]. 6223 a(x,y,z) = L(z,y,x) \ z. [hyper(4796,a,6222,a)]. 6224 x \ ((x / L(y,z,u)) * y) = L(y,z,u) \ y. [hyper(64,a,4793,a(flip),b,6222,a)]. 6225 L(x,y,z) * a(z,y,x) = x. [hyper(121,a,4795,a,b,6222,a(flip))]. 6227 a(x,y,z) = z / L(z,y,x). [hyper(306,a,835,a,b,6223,a),flip(a)]. 6233 ((x \ L(x,y,z)) * u) \ 1 = (u \ 1) * a(z,y,x). [para(6223(a,2),1226(a,2,2))]. 6234 (x / y) * L(y,z,u) = x / a(u,z,y). [para(6223(a,2),6221(a,1,2)),flip(a)]. 6235 T((x \ y) * L((x \ y) \ 1,z,u),y \ 1) = a(u \ 1,z \ 1,y / x). [hyper(306,a,4410,a,b,6227,a)]. 6238 (x * y) / a(z,u,y) = x * L(y,u,z). [para(11(a,1),6234(a,1,1)),flip(a)]. 6241 x / (L(y,z,u) * (y \ x)) = L(y,z,u) \ y. [hyper(64,a,4791,a,b,6224,a)]. 6243 (L(x,y,z) \ x) \ u = L(x,y,z) * (x \ u). [hyper(189,a,6241,a)]. 6246 L(x,y,z) * (x \ u) = a(z,y,x) \ u. [para(6223(a,2),6243(a,1,1)),flip(a)]. 6249 a(x,y,z) * (z \ u) = L(z,y,x) \ u. [hyper(1605,a,6246,a(flip))]. 6250 x * (a(y,z,x) \ u) = L(x,z,y) * u. [hyper(121,a,6246,a(flip),b,1594,a)]. 6251 a(x,y,z) \ (z * u) = L(z,y,x) * u. [para(9(a,1),6246(a,1,2)),flip(a)]. 6252 a(x \ 1,y \ 1,z) = a(z \ 1,y,x). [hyper(36,a,6208,a(flip),b,6249,a),flip(a)]. 6255 a(x,y,z) \ u = a(z,y,x) * u. [hyper(35,a,5736,a,b,6250,a),flip(a)]. 6257 x \ (x / a(y,z,u)) = a(u,z,y). [hyper(922,a,6255,a)]. 6259 a(x,y,z) * (a(z,y,x) * u) = u. [hyper(288,a,6255,a),flip(a)]. 6263 x / a(y,y \ 1,z) = x * a(z,y,y \ 1). [hyper(121,a,2341,a(flip),b,6257,a),flip(a)]. 6267 a(x,y,K(z,u)) \ (z * w) = L(z,y,K(x,u)) * w. [para(4846(a,1),6251(a,1,1))]. 6268 a(x \ 1,y \ 1,z) = a(x,y,z). [hyper(306,a,5687,a(flip),b,6252,a),flip(a)]. 6272 a(x,y \ 1,K(z,u \ 1)) = a(u,y,K(x,z)). [hyper(4898,a,6268,a)]. 6280 x * ((L(x \ 1,x,y) * z) * a(y,x,x \ 1)) = L(z,x,y \ (y / x)). [para(6263(a,1),4737(a,1,2))]. 6281 a(x,y \ 1,K(z,u)) = a(z,y,K(x,u)). [para(2072(a,1),6272(a,1,3))]. 6282 K(x,(y * z) \ ((y * (u \ 1)) * (u * z))) = a(u * z,u,K(x,y)). [hyper(64,a,5143,a,b,6281,a)]. 6283 x * a(y,z,K(u,w * z)) = x * a(u,w,K(y,w * z)). [para(6281(a,1),4084(a,1,2))]. 6284 (a(x,y,z) \ 1) * u = (z \ L(z,y,x)) * u. [hyper(572,a,6233,a)]. 6285 ((x \ L(x,y,z)) * u) * (u \ 1) = L(a(z,y,x) \ 1,u,u \ 1). [para(6284(a,1),2131(a,1,1))]. 6286 a(x,y,K(z,u)) \ (z * w) != v5 * w | L(z,y,K(x,u)) = v5. [para(6267(a,2),45(a,1))]. 6287 a(x * y,x,K(z,u)) = a(u,y,K(z,x * y)). [hyper(36,a,4857,a,b,6283,a)]. 6288 a(x * y,x,K(z,u)) = a(u,y,K(z,y * x)). [para(1953(a,1),6287(a,2,3))]. 6289 K((x * y) * ((z * y) \ (x \ z)),u) = a(z * y,z,K(u,x)). [hyper(64,a,5141,a(flip),b,6282,a)]. 6290 a(x * y,x,K(z,u)) = a(z,x,K(y,x / u)). [hyper(64,a,5167,a(flip),b,6289,a),flip(a)]. 6291 a(x * y,x,K(z,u)) = a(z,x,K(y,u \ x)). [para(1954(a,1),6290(a,2,3))]. 6292 a(x * y,x,K(z,u)) = a(y,x,K(z,x \ u)). [hyper(306,a,4856,a,b,6291,a),flip(a)]. 6293 a(x,y,K(z,y \ u)) = a(u,x,K(z,x * y)). [hyper(64,a,6288,a(flip),b,6292,a),flip(a)]. 6294 a(x,y,K(z,y \ u)) = a(u,z,K(y,x)). [hyper(306,a,5177,a(flip),b,6293,a),flip(a)]. 6295 a(x,y,K(z,u \ y)) = a(u,x,K(y,z)). [hyper(4896,a,6294,a)]. 6296 a(x,K(y,z),K(u,w)) = 1. [hyper(64,a,4216,a(flip),b,6295,a),flip(a)]. 6298 L(K(x,y),K(z,u),w) = K(x,y). [hyper(53,a,6296,a)]. 6299 K(x,L(y,K(z,u),w)) = K(x,y). [hyper(3914,a,6298,a)]. 6303 (x * K(y,z)) * K(u,w) = x * (K(y,z) * K(u,w)). [hyper(121,a,6298,a(flip),b,18,a(flip))]. 6306 (K(x,y) * K(z,u)) * w = K(x,y) * (K(z,u) * w). [para(6298(a,1),3166(a,1,1)),flip(a)]. 6307 T(x,L(y,K(z,u),w)) = x * K(x,y). [para(6298(a,1),3827(a,1,2)),flip(a)]. 6308 K(x,K(y,z) \ ((u \ K(y,z)) * w)) = K(x,u \ w). [hyper(4998,a,6299,a)]. 6310 K(x,L(L(y,K(z,u),w),v5,v6)) = K(x,L(y,v5,v6)). [para(30(a,1),6299(a,1,2))]. 6311 K(x,L(y,a(z,u,K(w,v5)),v6)) = K(x,y). [para(3879(a,1),6299(a,1,2,2))]. 6312 (x * K(y,z)) * a(u,w,K(v5,v6)) = x * (K(y,z) * a(u,w,K(v5,v6))). [para(6299(a,1),4254(a,1,2,3))]. 6313 T(x,L(y,K(z,u),w)) = T(x,y). [hyper(306,a,1892,a,b,6307,a),flip(a)]. 6314 L(x,K(y,z),u) * T(w,x) = w * L(x,K(y,z),u). [hyper(121,a,6313,a(flip),b,22,a(flip))]. 6315 (x * a(y,z,K(u,w))) * K(v5,v6) = x * (a(y,z,K(u,w)) * K(v5,v6)). [para(6311(a,1),3832(a,1,2))]. 6316 K(x,(y * z) \ (y * (z * (K(u,w) * v5)))) = K(x,L(v5,z * K(u,w),y)). [hyper(64,a,4186,a(flip),b,6310,a)]. 6317 L(x,K(y,z),K(u,w)) = x. [hyper(4099,a,6303,a)]. 6318 K(x,y) * (z * (K(u,w) * K(y,x))) = z * K(u,w). [hyper(2920,a,6303,a)]. 6320 x * (K(y,z) * K(u,x \ y)) = T(y,z) * T(y \ x,u). [hyper(64,a,3278,a(flip),b,6303,a),flip(a)]. 6321 (x * y) * (K(z,L(u,y,x)) * K(w,v5)) = (x * (y * K(z,u))) * K(w,v5). [para(3832(a,1),6303(a,1,1)),flip(a)]. 6324 (x * (y * K(z,u))) \ ((x * y) * K(w,v5)) = ((x * (y * K(z,u))) \ (x * y)) * K(w,v5). [para(6317(a,1),3926(a,1,1))]. 6325 K(x,K(y,z) * ((u \ K(w,v5)) * v6)) = K(x,u \ v6). [hyper(2127,a,6308,a)]. 6326 K(x,(y \ K(z,u)) * w) = K(x,y \ w). [hyper(2013,a,6308,a)]. 6328 K(x,(y \ K(z,u)) * ((w * v5) \ v6)) = K(x,y \ ((w \ (v5 \ 1)) * v6)). [hyper(64,a,5190,a(flip),b,6326,a)]. 6329 (x * K(y,z)) * a(u,w,K(v5,L(v6,x * (K(y,z) * K(v7,v8)),K(v8,v7)))) = K(v8,v7) * ((x * (K(y,z) * K(v7,v8))) * a(u,w,K(v5,v6))). [para(6318(a,1),4254(a,1,1))]. 6330 K(x * (y \ K(z,u)),w) = K(w,x \ y). [hyper(64,a,3598,a(flip),b,6325,a)]. 6332 K(x,y * (z \ ((u \ 1) \ w))) = K(x,((u * w) \ z) \ y). [hyper(64,a,5187,a(flip),b,6330,a)]. 6333 K(x,y) * (T(x \ y,z) * T((y / x) \ u,w)) = u * (K(y / x,z) * K(w,u \ (y / x))). [hyper(306,a,3385,a,b,6320,a)]. 6334 K(x,y) * (T(x / y,z) * T((y \ x) \ u,w)) = u * (K(y \ x,z) * K(w,u \ (y \ x))). [hyper(306,a,3384,a,b,6320,a)]. 6336 K(x,y * (z \ ((u \ 1) \ w))) = K(x,y * (z \ (u * w))). [hyper(306,a,5086,a(flip),b,6332,a),flip(a)]. 6337 K(x,(y * ((z \ 1) / u)) \ w) = K(x,w * (y \ (u * z))). [hyper(5093,a,6336,a)]. 6338 L(a(x,y,z) \ 1,u,u \ 1) = L(z \ L(z,y,x),u,u \ 1). [hyper(2142,a,6285,a),flip(a)]. 6339 L(x \ L(x,y,z),u,u \ 1) = u * ((a(z,y,x) * u) \ 1). [hyper(64,a,2333,a(flip),b,6338,a),flip(a)]. 6340 L(x * L(x \ 1,y,z),u,u \ 1) = u * ((a(z,y,x \ 1) * u) \ 1). [para(927(a,1),6339(a,1,1))]. 6341 L(x * ((a(y,z,u \ w) * x) \ 1),u \ w,u) = L(w \ (u * L(u \ w,z,y)),x,x \ 1). [para(6339(a,1),1131(a,1,1))]. 6342 (x * (K(y,z) * K(u,w))) * a(v5,v6,K(v7,v8)) = (x * K(y,z)) * (K(u,w) * a(v5,v6,K(v7,v8))). [para(6303(a,1),6312(a,1,1))]. 6343 K(x,y) * (z * (a(u,w,K(v5,v6)) * K(y,x))) = z * a(u,w,K(v5,v6)). [hyper(2920,a,6315,a)]. 6344 ((x * a(y,z,K(u,w))) * K(v5,L(v6,x,a(y,z,K(u,w))))) * K(v7,v8) = (x * K(v5,v6)) * (a(y,z,K(u,w)) * K(v7,v8)). [para(3838(a,2),6315(a,1,1))]. 6345 (x * (a(y,z,K(u,w)) * K(v5,v6))) * K(v7,v8) = (x * a(y,z,K(u,w))) * (K(v5,v6) * K(v7,v8)). [para(6315(a,1),6303(a,1,1))]. 6346 K(x,y \ ((z \ (u \ 1)) * w)) = K(x,y \ ((z * u) \ w)). [hyper(64,a,6326,a(flip),b,6328,a),flip(a)]. 6347 K(x,y) * (((z * u) * K(w,v5)) * (a(R(z,u,K(w,v5)),u,K(w,v5)) * K(y,x))) = (R(z,u,K(w,v5)) * u) * K(w,v5). [hyper(306,a,1086,a(flip),b,6343,a),flip(a)]. 6349 K(x,(y * z) \ (y * (z * (u * K(w,v5))))) = K(x,L(u,z * K(w,v5),y)). [para(244(a,1),6316(a,1,2,2,2,2))]. 6350 (x * a(y,z,K(u,w))) * (K(v5,L(v6,x,a(w,z,K(y,u)))) * K(v7,v8)) = (a(w,z,K(y,u)) * (x * K(v5,v6))) * K(v7,v8). [para(4857(a,1),6321(a,1,1))]. 6351 L(x \ (y * L(y \ x,z,u)),w,w \ 1) = w * ((a(u,z,(x \ y) \ 1) * w) \ 1). [para(2519(a,1),6340(a,1,1))]. 6352 K(x,L(y * K(z,u),w,v5)) = K(x,L(y,w * K(z,u),v5)). [para(18(a,2),6349(a,1,2))]. 6353 K(x,L(y,z * K(u,w),v5)) = K(x,L(y,z,v5)). [hyper(3918,a,6352,a),flip(a)]. 6355 K(x,L(y,z \ T(u,w),v5)) = K(x,L(y,z \ u,v5)). [para(2169(a,1),6353(a,1,2,2))]. 6356 (x * (y * K(z,u))) * a(w,v5,K(v6,L(v7,y,x))) = x * ((y * K(z,u)) * a(w,v5,K(v6,v7))). [para(6353(a,1),4254(a,1,2,3))]. 6357 T(a((x \ y) \ 1,z,u),y \ 1) = a(u \ 1,z \ 1,y / x). [para(5690(a,1),6235(a,1,1))]. 6358 (x * (y * K(z,u))) \ ((x * y) * K(w,v5)) = K(u,L(z,y,x)) * K(w,v5). [para(3922(a,1),6324(a,2,1))]. 6360 (x * T(y * K(z,u),w)) \ ((x * T(y,w)) * K(v5,v6)) = K(u,L(z,T(y,w),x)) * K(v5,v6). [para(3092(a,2),6358(a,1,1,2))]. 6361 (x * (y * K(z,u))) \ (x * (y * K(w,v5))) = K(u,L(z,y,x)) * K(w,L(v5,y,x)). [para(3832(a,1),6358(a,1,2))]. 6362 (x * (y * K(z,u))) \ ((x * K(w,v5)) * y) = K(u,L(z,y,x)) * K(w,L(v5,x,y)). [para(3838(a,1),6358(a,1,2))]. 6363 K(x,L(y,z,u)) * K(y,L(L(x,z,u),z,u)) = a(x,z,K(y,u)). [hyper(5181,a,6361,a),flip(a)]. 6364 T(x * (y * K(z,u)),x * (y * K(w,v5))) / (x * (y * K(w,v5))) = K(v5,L(w,y,x)) * K(z,L(u,y,x)). [hyper(854,a,6361,a)]. 6366 (x * T(y * K(z,u),w)) \ ((x * T(y,w)) * K(v5,v6)) = K(u,L(z,y,x)) * K(v5,v6). [para(4189(a,1),6360(a,2,1))]. 6367 (x * T(y * K(z,u),w)) \ ((x * K(v5,v6)) * T(y,w)) = K(u,L(z,y,x)) * K(v5,L(v6,x,T(y,w))). [para(3838(a,1),6366(a,1,2))]. 6369 K(x,y) * (T(x \ y,z) * T((y / x) \ u,w)) = u * (K(z,y \ x) * K(w,u \ (y / x))). [para(2848(a,1),6333(a,2,2,1))]. 6370 K(x,y) * (T(x / y,z) * T((y \ x) \ u,w)) = u * (K(z,x \ y) * K(w,u \ (y \ x))). [para(2843(a,1),6334(a,2,2,1))]. 6371 L(x * ((a(y,z,u \ w) * x) \ 1),u \ w,u) = x * ((a(y,z,(w \ u) \ 1) * x) \ 1). [hyper(306,a,6351,a(flip),b,6341,a),flip(a)]. 6372 (x * (K(y,z) * K(u,w))) * a(v5,v6,K(v7,L(v8,K(v9,v10),v11))) = (x * K(y,z)) * (K(u,w) * a(v5,v6,K(v7,v8))). [para(6299(a,1),6342(a,2,2,2,3))]. 6373 K(x,y) * (T(x \ y,z) * T((y / x) \ u,w)) = u * (K(z,y \ x) * K(w,u \ (x \ y))). [para(2257(a,1),6369(a,2,2,2))]. 6374 x * (K(y,z \ u) * K(w,x \ (u \ z))) = T(z / u,y) * T((z / u) \ x,w). [hyper(3386,a,6373,a),flip(a)]. 6375 K(x,y) * (T(x / y,z) * T((y \ x) \ u,w)) = T(x / y,z) * T((x / y) \ u,w). [hyper(64,a,6370,a,b,6374,a)]. 6376 T(x / y,z) * T((x / y) \ u,w) = T(y \ x,z) * T((y \ x) \ u,w). [hyper(3387,a,6375,a),flip(a)]. 6377 T(T(x \ y,z) * T((x \ y) \ u,w),y / x) = T((y / x) \ u,w) * T(y / x,z). [para(6376(a,1),1486(a,1,1))]. 6378 T(T(x \ y,z) * T((x \ y) \ u,w),x \ y) = T((y / x) \ u,w) * T(y / x,z). [hyper(1539,a,6377,a)]. 6379 T((x / y) \ z,u) * T(x / y,w) = T((y \ x) \ z,u) * T(y \ x,w). [hyper(1506,a,6378,a),flip(a)]. 6380 T((x / y) \ z,u) * T(x / y,w) != v5 | T((y \ x) \ z,u) * T(y \ x,w) = v5. [para(6378(a,1),1506(a,1))]. 6381 T((x \ T(T(y,z),u)) \ w,v5 * (y \ x)) * T(x \ T(T(y,z),u),v5) = T(w,v5). [hyper(64,a,4692,a(flip),b,6379,a),flip(a)]. 6382 (x * T(y * K(z,u),w)) \ ((x * K(v5,v6)) * T(y,w)) = K(u,L(z,y,x)) * K(v5,L(v6,x,y)). [para(4229(a,1),6367(a,2,2))]. 6383 K(x,L(y,z,u)) * K(y,L(x,u,z)) != w | a(u,K(y,x),T(z,v5)) = w. [para(6382(a,1),3093(a,1))]. 6386 T(x * (y * K(z,u)),x * y) / (x * (y * K(w,v5))) = K(v5,L(w,y,x)) * K(z,L(u,y,x)). [para(2727(a,1),6364(a,1,1))]. 6387 (L(K(x,y),z,u) * (u * z)) / (u * (z * K(w,v5))) = K(v5,L(w,z,u)) * K(x,L(y,z,u)). [para(821(a,1),6386(a,1,1))]. 6389 (K(x,L(y,z,u)) * (u * z)) / (u * (z * K(w,v5))) = K(v5,L(w,z,u)) * K(x,L(y,z,u)). [para(3821(a,1),6387(a,1,1,1))]. 6390 ((x * y) * K(z,L(u,y,x))) / (x * (y * K(w,v5))) = K(v5,L(w,y,x)) * K(z,L(u,y,x)). [para(244(a,1),6389(a,1,1))]. 6391 (x * (y * K(z,u))) / (x * (y * K(w,v5))) = K(v5,L(w,y,x)) * K(z,L(u,y,x)). [para(3832(a,1),6390(a,1,1))]. 6392 (x * (y * K(z,L(u,y,x)))) / (x * (y * K(z,u))) = a(u,y,K(z,x)). [hyper(306,a,6363,a(flip),b,6391,a),flip(a)]. 6393 (x * (y * K(z,(x * y) \ u))) / (x * (y * K(z,y \ (x \ u)))) = a(y \ (x \ u),y,K(z,x)). [para(293(a,1),6392(a,1,1,2,2,2))]. 6394 (x * (y * K(z,(x * y) \ u))) / (x * (y * K(z,y \ (x \ u)))) = a(z,y,K(x,y \ u)). [hyper(306,a,4859,a(flip),b,6393,a),flip(a)]. 6395 K(x \ (y \ z),L(u,x,y)) * K(u,L((y * x) \ z,x,y)) = a(u,x,K(y,x \ z)). [hyper(64,a,6391,a(flip),b,6394,a)]. 6396 K(x,y \ (z * u)) * K(x,L((z * u) \ y,u,z)) = a(x,u,K(z,u \ y)). [para(3913(a,1),6395(a,1,1))]. 6397 a(x \ (y * z),z,K(y,u)) = a(u,z,K(y,z \ x)). [hyper(64,a,4991,a(flip),b,6396,a)]. 6398 a(x \ y,y,K(z,y \ u)) != w | a(z,x,K(u \ (z * y),y \ x)) = w. [para(6397(a,1),4953(a,1))]. 6399 a(x,y,K(z \ (x * u),u \ y)) = a(z,x,K(u,y \ u)). [hyper(6398,a,6294,a)]. 6400 a(x,y,K(z \ (x * u),u \ y)) = a(z,x,K(y,u)). [hyper(306,a,4013,a(flip),b,6399,a),flip(a)]. 6401 a(x,y,K(z,u \ (y * x))) = a(u,y,K(z,x)). [hyper(64,a,6295,a(flip),b,6400,a)]. 6402 a(x,y,K(z,u \ y)) = a(u,y,K(z,x)). [hyper(64,a,5130,a(flip),b,6401,a)]. 6403 a(x,y,K(z,u)) = a(x,u,K(y,z)). [hyper(64,a,6295,a(flip),b,6402,a),flip(a)]. 6404 a(x,y,K(z,u)) = a(u,x,K(z,y)). [hyper(306,a,4847,a,b,6403,a)]. 6405 x * a(x,y,K(z,u)) = T(x,a(y,z,u)). [para(6403(a,1),4871(a,1,2))]. 6407 K(x,y) * a(x,y,K(z,u)) = K(x,L(y,z,u)). [para(6403(a,1),4861(a,1,2))]. 6408 K(x,y) * a(y,z,K(u,x)) = K(x,L(y,u,z)). [para(6403(a,1),4862(a,1,2))]. 6410 a(x,y,K(z,y \ u)) = a(z,x,K(y,u)). [hyper(306,a,6294,a,b,6404,a)]. 6411 x * a(y,z,K(u,x)) = T(x,a(z,y,u)). [para(6404(a,2),4871(a,1,2))]. 6412 T(x,a(y,z,u)) = T(x,a(u,y,z)). [hyper(4872,a,6405,a),flip(a)]. 6413 K(x,y \ ((y / z) * (u * z))) = K(x,u) * a(x,T(u,z),K(z,y)). [para(6410(a,1),5102(a,2,2))]. 6414 T(T(x,a(y,z,u)),u) = T(x,L(u,y,z)). [para(6411(a,1),3947(a,1,1))]. 6415 T(T(x,y),a(z,u,y)) = T(x,L(y,z,u)). [hyper(544,a,6414,a)]. 6416 T(x,L(y,z,u)) != T(w,y) | T(x,a(z,u,y)) = w. [para(6414(a,1),50(a,1))]. 6417 T(T(x,y),a(z,y,u)) = T(x,L(y,u,z)). [hyper(64,a,6412,a,b,6415,a)]. 6418 K(x,L(y,z,u \ 1)) = K(x,L(y,u,z)). [hyper(4952,a,6408,a)]. 6419 K(x,L(y,z,u \ x)) = K(x,L(y,u,z)). [hyper(4951,a,6408,a)]. 6421 K(x,L(y,z,(z \ 1) \ u)) = K(x,L(y,u,z \ 1)). [hyper(4949,a,6418,a),flip(a)]. 6422 T(x,L(y,z,u \ 1)) = x * K(x,L(y,u,z)). [hyper(121,a,6418,a(flip),b,1935,a),flip(a)]. 6423 K(x,L(y,z,u \ 1)) != w | K(x,L(y,u,z)) = w. [para(6418(a,1),4394(a,1))]. 6424 T(x,L(y,z,u \ 1)) = T(x,L(y,u,z)). [hyper(306,a,1892,a,b,6422,a),flip(a)]. 6425 T(x,L(y,z,u \ 1)) != w | T(x,L(y,u,z)) = w. [para(6422(a,2),1894(a,1))]. 6426 T(x,((y \ 1) * z) \ (y \ (u * z))) = T(x,L(T(u,z),y,z)). [hyper(64,a,6033,a,b,6424,a)]. 6427 T(x,L(y \ 1,z,u \ 1)) = T(x,R(y,u,z) \ 1). [para(2581(a,1),6424(a,1,2)),flip(a)]. 6428 K(x,L(y,z,u * (1 \ z))) = K(x,L(y,u,z \ 1)). [hyper(5099,a,6421,a)]. 6429 T(x,L(y \ 1,z,u)) = T(x,R(y,z,u) \ 1). [hyper(6425,a,6427,a)]. 6430 T(x,L(y \ 1,z,u)) = T(x,L(y,z,u) \ 1). [para(4097(a,1),6429(a,2,2,1))]. 6431 T(x,L(y \ 1,z,u)) * L(y,z,u) = L(y,z,u) * x. [hyper(120,a,6430,a,b,2051,a(flip))]. 6432 K(x,L(y,z,u \ 1)) = K(x,L(y,u,z * u)). [para(66(a,1),6428(a,1,2,3,2)),flip(a)]. 6433 K(x,L(y,z,u * z)) = K(x,L(y,z,u)). [hyper(6423,a,6432,a),flip(a)]. 6434 K(x,L(y,z * u,u \ 1)) = K(x,L(y,z,u \ 1)). [hyper(306,a,6418,a,b,6432,a)]. 6435 K(x,L(y,z \ T(z * u,w),T((z \ 1) \ u,w) \ 1)) = K(x,L(y,z \ 1,T((z \ 1) \ u,w) \ 1)). [para(1291(a,1),6434(a,1,2,2))]. 6436 (L(x,y,z) * u) * a(z,y,x) = T(u,L(x \ 1,y,z)) * x. [hyper(120,a,6431,a(flip),b,6238,a)]. 6437 T(x,((y \ 1) * z) \ (y \ (u * z))) = T(x,L(u,y,z)). [hyper(306,a,1499,a(flip),b,6426,a),flip(a)]. 6439 T(x,(y \ (z * u)) * (u \ y)) = T(x,L(z,y,u)). [hyper(64,a,6019,a(flip),b,6437,a)]. 6440 T(x,(y \ z) * (z \ (u * y))) = T(x,L(u,z,y)). [hyper(1529,a,6439,a)]. 6441 T((x \ y) \ z,y \ (u * x)) * T(x \ y,u) = T(z,L(u,y,x)). [hyper(64,a,4126,a,b,6440,a)]. 6442 K(x,y \ ((y / z) * (u * z))) = K(x,u) * a(x,u,K(z,y)). [para(4195(a,1),6413(a,2,2))]. 6443 K(x,y \ ((y / z) * (u * z))) = K(x,L(u,z,y)). [hyper(306,a,6407,a(flip),b,6442,a),flip(a)]. 6445 K(x,y \ ((z \ y) * (u * z))) = K(x,L(u,z,y)). [hyper(4067,a,6443,a)]. 6446 K(x,L(y,z,z \ u)) = K(x,L(y,z,u)). [hyper(64,a,4069,a(flip),b,6445,a)]. 6447 T(x,L(y,z,z \ u)) = x * K(x,L(y,z,u)). [hyper(121,a,6446,a(flip),b,1935,a),flip(a)]. 6448 T(x,L(y,z,z \ u)) = T(x,L(y,z,u)). [hyper(306,a,1892,a,b,6447,a),flip(a)]. 6449 T(x,L((y \ (y / z)) \ u,y \ (z \ y),(y \ (z \ y)) \ y)) = T(x,(y / z) \ (y * u)). [para(3163(a,1),6448(a,2,2))]. 6450 T((T(T(x,y),z) / u) \ w,T(T(T(x,u \ 1),y),z) \ (v5 * u)) * T(u \ T(T(T(x,u \ 1),y),z),v5) = T(w,L(v5,T(T(T(x,u \ 1),y),z),u)). [para(2057(a,1),6441(a,1,1,1,1))]. 6451 T(x,L((y \ (y / z)) \ u,y \ (z \ y),((z \ y) \ y) * y)) = T(x,(y / z) \ (y * u)). [para(912(a,1),6449(a,1,2,3))]. 6452 T(x,L((y \ (y / z)) \ u,y \ (z \ y),T(z,y) * y)) = T(x,(y / z) \ (y * u)). [para(403(a,2),6451(a,1,2,3,1))]. 6453 T(x,L((y \ (y / z)) \ u,y \ (z \ y),T(z * y,y))) = T(x,(y / z) \ (y * u)). [para(819(a,2),6452(a,1,2,3))]. 6454 T(x,L((y \ (y / z)) \ u,y \ (z \ y),z * y)) = T(x,(y / z) \ (y * u)). [hyper(4239,a,6453,a)]. 6455 T(x,(y / z) \ (y * u)) = T(x,y \ ((y * z) * u)). [para(3723(a,1),6454(a,1,2)),flip(a)]. 6456 T(x,(y \ z) \ (z * u)) = T(x,z \ ((z * y) * u)). [hyper(3111,a,6455,a)]. 6457 T(x,y \ ((y * z) * u)) = T(x,(y * u) * (y \ z)). [hyper(64,a,4054,a(flip),b,6455,a),flip(a)]. 6458 T(x,(y \ z) \ (u * z)) = T(x,z \ ((z * y) * u)). [hyper(2266,a,6456,a)]. 6459 T(x,(y \ (z \ u)) \ u) = T(x,u \ ((u * y) * z)). [hyper(1563,a,6458,a)]. 6460 T(x,y \ ((y * z) * u)) = T(x,y * ((u \ y) \ z)). [hyper(64,a,4052,a(flip),b,6459,a),flip(a)]. 6461 T(x,(y * z) * (y \ u)) = T(x,y * ((z \ y) \ u)). [hyper(64,a,6457,a(flip),b,6460,a)]. 6462 T(x,(y \ z) * (y * u)) = T(x,y * ((u \ y) \ z)). [hyper(1529,a,6461,a)]. 6463 T(x,y * ((L(y \ 1,z,u) \ y) \ w)) != v5 | T(x,w * L(w \ (y \ w),z,u)) = v5. [para(6461(a,1),2604(a,1))]. 6464 T(x,y * ((L(y \ 1,z,u) \ y) \ w)) = T(x,w * L(y \ 1,z,u)). [hyper(6212,a,6462,a),flip(a)]. 6465 T(x,y * L(y \ (z \ y),u,w)) = T(x,y * L(z \ 1,u,w)). [hyper(6463,a,6464,a)]. 6466 T(x,(y \ z) * ((z \ (y * L(y \ z,u,w))) * v5)) = T(x,v5 * L((z \ y) \ 1,u,w)). [hyper(64,a,4404,a,b,6465,a)]. 6467 T(x,(y \ z) * (a((z \ y) \ 1,u,w) * v5)) = T(x,v5 * L((z \ y) \ 1,u,w)). [para(5712(a,1),6466(a,1,2,2,1))]. 6468 K(x,L(y,z \ T(z * u,w),T(((z \ 1) \ u) \ 1,w))) = K(x,L(y,z \ 1,T((z \ 1) \ u,w) \ 1)). [para(2071(a,2),6435(a,1,2,3))]. 6469 K(x,L(y,z \ T(z * u,w),T((u \ 1) / z,w))) = K(x,L(y,z \ 1,T((z \ 1) \ u,w) \ 1)). [para(569(a,1),6468(a,1,2,3,1))]. 6470 K(x,L(y,z \ T(z * u,w),(u \ 1) / z)) = K(x,L(y,z \ 1,T((z \ 1) \ u,w) \ 1)). [hyper(64,a,4229,a(flip),b,6469,a)]. 6472 K(x,L(y,z \ T(z * u,w),z \ (u \ 1))) = K(x,L(y,z \ 1,T((z \ 1) \ u,w) \ 1)). [hyper(64,a,4233,a(flip),b,6470,a)]. 6473 K(x,L(y,z \ (z * u),z \ (u \ 1))) = K(x,L(y,z \ 1,T((z \ 1) \ u,w) \ 1)). [hyper(64,a,6355,a(flip),b,6472,a)]. 6475 K(x,L(y,z \ 1,T((z \ 1) \ u,w) \ 1)) = K(x,L(y,u,z \ (u \ 1))). [para(9(a,1),6473(a,1,2,2)),flip(a)]. 6476 K(x,L(y,z \ 1,T(((z \ 1) \ u) \ 1,w))) = K(x,L(y,u,z \ (u \ 1))). [para(1611(a,1),6475(a,1,2,3))]. 6477 K(x,L(y,z \ 1,T((u \ 1) / z,w))) = K(x,L(y,u,z \ (u \ 1))). [para(569(a,1),6476(a,1,2,3,1))]. 6478 K(x,L(y,z \ 1,z \ (u \ 1))) = K(x,L(y,u,z \ (u \ 1))). [para(108(a,1),6477(a,1,2,3))]. 6479 K(x,L(y,z,(z \ (u \ 1)) \ 1)) = K(x,L(y,u,z \ (u \ 1))). [hyper(4396,a,6478,a)]. 6480 K(x,L(y,z,u \ (z \ 1))) = K(x,L(y,u,z / (u \ 1))). [para(568(a,1),6479(a,1,2,3)),flip(a)]. 6481 K(x,L(y,z,(z \ 1) \ u)) = K(x,L(y,u,z \ (u \ 1))). [hyper(306,a,4233,a(flip),b,6480,a)]. 6482 K(x,L(y,z,u \ (z \ 1))) = K(x,L(y,u,z * (1 \ u))). [hyper(5099,a,6481,a),flip(a)]. 6483 K(x,L(y,z,u \ (z \ 1))) = K(x,L(y,u,z * u)). [para(66(a,1),6482(a,2,2,3,2))]. 6484 K(x,((y \ (z \ 1)) * z) \ ((y \ (z \ 1)) * (u * z))) = K(x,L(T(u,z),y,z * y)). [para(224(a,2),6483(a,1,2))]. 6485 K(x,(y * ((y \ 1) / z)) \ ((z \ (y \ 1)) * (u * y))) = K(x,L(T(u,y),z,y * z)). [para(2087(a,1),6484(a,1,2,1))]. 6486 K(x,(y * ((y \ 1) / z)) \ ((z * y) \ (u * y))) = K(x,L(T(u,y),z,y * z)). [hyper(64,a,6346,a(flip),b,6485,a)]. 6487 K(x,((y * z) \ (u * z)) * (z \ (y * z))) = K(x,L(T(u,z),y,z * y)). [hyper(64,a,6337,a(flip),b,6486,a)]. 6488 K(x,((y * z) \ (u * z)) * T(y,z)) = K(x,L(T(u,z),y,z * y)). [para(22(a,2),6487(a,1,2,2))]. 6489 K(x,((y * z) \ (u * y)) * z) = K(x,L(T(u,y),z,y * z)). [para(3070(a,1),6488(a,1,2))]. 6490 K(x,y * ((z * y) \ (u * z))) = K(x,L(T(u,z),y,z * y)). [hyper(1979,a,6489,a)]. 6491 K(x,y * ((z * y) \ (u * z))) = K(x,L(u,y,z * y)). [hyper(306,a,1952,a(flip),b,6490,a),flip(a)]. 6492 a(x,y,K(z,u)) * K(x,L(z,u,y)) = K(x,L(z,y,u * y)). [hyper(5198,a,6491,a)]. 6494 K(x,L(L(y,z,u \ 1),u,z)) = K(x,L(y,z,u * z)). [hyper(64,a,5107,a(flip),b,6492,a)]. 6495 L((x * a(y,y,x)) * L((x * a(y,y,x)) \ 1,z,u),y,y) = x * L(x \ 1,z,u). [para(6179(a,1),6181(a,2,2,1,1))]. 6496 L(x * (a(y,y,x) * L(a(y,y,x) \ (x \ 1),z,u)),y,y) = x * L(x \ 1,z,u). [para(1419(a,1),6495(a,1,1))]. 6497 L(x * L(a(y,y,x) * (a(y,y,x) \ (x \ 1)),z,u),y,y) = x * L(x \ 1,z,u). [para(6176(a,2),6496(a,1,1,2))]. 6498 L(x * L(x \ 1,y,z),u,u) = x * L(x \ 1,y,z). [para(10(a,1),6497(a,1,1,2,1))]. 6500 L(R(x,y,z) \ x,u,u) = x * L(x \ 1,y \ 1,z \ 1). [para(2580(a,1),6498(a,1,1))]. 6501 L(R(x,y,z) \ x,u,u) = R(x,y,z) \ x. [hyper(2351,a,6500,a,b,6500,a)]. 6502 L(L(x,y,z) \ x,u,u) = R(x,y,z) \ x. [para(4097(a,1),6501(a,1,1,1))]. 6503 L(L(x,y,z) \ x,u,u) = L(x,y,z) \ x. [hyper(2351,a,6502,a,b,6502,a)]. 6504 a(x,x,L(y,z,u) \ y) = 1. [hyper(117,a,6503,a,b,6225,a),flip(a)]. 6505 a(x,x,a(y,z,u)) = 1. [para(6223(a,2),6504(a,1,3))]. 6506 a(a(x,y,z),u,u) * 1 = 1. [hyper(117,a,6505,a,b,6259,a),flip(a)]. 6508 a(a(x,y,z),u,u) = 1. [hyper(130,a,6506,a)]. 6511 (a(x,y,z) \ u) \ 1 = u \ a(x,y,z). [hyper(118,a,6508,a(flip),b,5245,a(flip))]. 6514 (a(x,y,z) * u) \ 1 = u \ a(z,y,x). [para(6255(a,1),6511(a,1,1))]. 6515 L(x * (x \ a(y \ z,u,w)),y \ z,y) = x * ((a(w,u,(z \ y) \ 1) * x) \ 1). [para(6514(a,1),6371(a,1,1,2))]. 6516 L(a(x \ y,z,u),x \ y,x) = w * ((a(u,z,(y \ x) \ 1) * w) \ 1). [para(10(a,1),6515(a,1,1))]. 6517 x * ((a(y,z,(u \ w) \ 1) * x) \ 1) = a(w \ u,z,y). [hyper(64,a,5675,a(flip),b,6516,a),flip(a)]. 6520 x * (x \ a((y \ z) \ 1,u,w)) = a(z \ y,u,w). [para(6514(a,1),6517(a,1,2))]. 6521 a((x \ y) \ 1,z,u) = a(y \ x,z,u). [hyper(263,a,6520,a)]. 6525 T(a(x \ y,z,u),x \ 1) = a(u \ 1,z \ 1,x / y). [para(6521(a,1),6357(a,1,1))]. 6526 T(x,(y \ z) * (a(y \ z,u,w) * v5)) = T(x,v5 * L((z \ y) \ 1,u,w)). [para(6521(a,1),6467(a,1,2,2,1))]. 6527 a(x \ 1,y \ 1,z / u) = a(z \ u,y,T(x,z \ 1)). [hyper(5505,a,6525,a),flip(a)]. 6528 a(x \ 1,y \ 1,z / u) = a(u / z,y,x). [hyper(306,a,5515,a(flip),b,6527,a),flip(a)]. 6529 a((x / y) \ 1,z,u) = a(y / x,z,u). [hyper(64,a,6252,a(flip),b,6528,a)]. 6530 T(x,((y \ z) \ (u * w)) * a(y / z,u,w)) = T(x,w * ((y \ z) \ u)). [para(6529(a,1),6114(a,1,2,2))]. 6531 T(x,a(y / z,u,w) * ((y \ z) \ (u * w))) = T(x,w * ((y \ z) \ u)). [hyper(1529,a,6530,a)]. 6532 T(x,y * L((z \ u) \ 1,w,v5)) = T(x,L(u \ z,w,v5) * y). [para(5736(a,1),6526(a,1,2)),flip(a)]. 6533 T(x,y * L((z \ u) \ 1,w,v5)) = T(x,y * L(u \ z,w,v5)). [hyper(306,a,1479,a,b,6532,a),flip(a)]. 6534 T(x,y * L((z / u) \ 1,w,v5)) = T(x,y * L(z \ u,w,v5)). [hyper(64,a,4810,a,b,6533,a)]. 6535 T(x,a((y / z) \ 1,u,w) * ((z \ y) \ v5)) = T(x,v5 * L(y \ z,u,w)). [hyper(64,a,6213,a,b,6534,a)]. 6537 T(x,a(y / z,u,w) * ((y \ z) \ v5)) = T(x,v5 * L(z \ y,u,w)). [para(6529(a,1),6535(a,1,2,1))]. 6538 T(x,(y * z) * L(u \ w,y,z)) = T(x,z * ((w \ u) \ y)). [hyper(64,a,6531,a(flip),b,6537,a),flip(a)]. 6539 T(x,y * (T(z,y) * (u \ w))) = T(x,y * ((w \ u) \ z)). [para(3128(a,1),6538(a,1,2))]. 6540 T(x,y * ((z \ u) \ w)) = T(x,y * (w * (u \ z))). [hyper(64,a,2732,a(flip),b,6539,a),flip(a)]. 6542 T(x,y * (((z \ 1) / u) \ (w \ v5))) = T(x,y * ((z * u) * (w \ v5))). [hyper(64,a,6117,a,b,6540,a)]. 6543 T(x,y * ((z / u) \ w)) = T(x,y * (w * (z \ u))). [hyper(64,a,3097,a,b,6540,a)]. 6544 T(x,y * (((z \ 1) / u) \ (1 \ w))) = T(x,y * ((z * u) * w)). [para(66(a,1),6542(a,2,2,2,2))]. 6545 T(x,y * (((z \ 1) / u) \ w)) = T(x,y * ((z * u) * w)). [para(66(a,1),6544(a,1,2,2,2))]. 6546 T(x,y * (z * ((u \ 1) \ w))) = T(x,y * ((u * w) * z)). [hyper(64,a,6543,a(flip),b,6545,a)]. 6547 T(x,L(y,z,z) * ((z * y) * z)) = T(x,(y / (z \ 1)) * (y / (z \ 1))). [hyper(6099,a,6546,a),flip(a)]. 6548 T(x,L(y,z,z) * (z * (y * z))) = T(x,(y / (z \ 1)) * (y / (z \ 1))). [para(764(a,1),6547(a,1,2,2))]. 6549 T(x,L(y,z,z) * (z * (y * z))) = T(x,(y / (z \ 1)) * ((z \ 1) \ y)). [hyper(306,a,2734,a(flip),b,6548,a),flip(a)]. 6550 T(x,L(y,z,z) * (z * (y * z))) = T(x,y * (((z \ 1) * (z \ 1)) \ y)). [para(33(a,1),6549(a,2,2))]. 6551 T(x,L(y,z,z) * (z * (y * z))) = T(x,y * ((z \ (z \ 1)) \ y)). [para(351(a,1),6550(a,2,2,2,1))]. 6552 T(x,L(y,z,z) * (z * (y * z))) = T(x,y * (y * ((z \ 1) \ z))). [hyper(306,a,6540,a(flip),b,6551,a),flip(a)]. 6553 T(x,L(y,z,z) * (z * (y * z))) = T(x,y * (y * (z * z))). [para(911(a,1),6552(a,2,2,2,2))]. 6554 T(T(x,y * (y * (z * z))),u) = T(x,(z * y) * ((z * y) * u)). [para(6553(a,1),4200(a,1,1))]. 6555 T(T(x,y * y),z * (z * u)) = T(x,(y * z) * ((y * z) * u)). [hyper(64,a,4133,a(flip),b,6554,a)]. 6556 T(x,(y * z) * ((y * z) * u)) = T(x,y * (y * (z * (z * u)))). [hyper(64,a,4130,a(flip),b,6555,a),flip(a)]. 6557 T(x,y * (y * (z * (z * (u \ (z \ (y \ 1))))))) = T(x,u \ (y * z)). [hyper(64,a,6112,a(flip),b,6556,a),flip(a)]. 6558 T(x,y * (y * ((y \ 1) * (z \ u)))) = T(x,z \ (y * u)). [hyper(64,a,6095,a(flip),b,6557,a)]. 6559 T(x,y * L(z \ u,y,y \ 1)) = T(x,z \ (y * u)). [para(2323(a,1),6558(a,1,2,2))]. 6560 (x * K(y,z)) * (K(u,w) * a(v5,v6,K(v7,v8))) = x * ((K(y,z) * K(u,w)) * a(v5,v6,K(v7,v8))). [hyper(64,a,6356,a(flip),b,6372,a),flip(a)]. 6561 (x * K(y,z)) * (K(u,w) * a(v5,v6,K(v7,v8))) = x * (K(y,z) * (K(u,w) * a(v5,v6,K(v7,v8)))). [para(6306(a,1),6560(a,2,2))]. 6562 (x * (K(y,z) * K(u,w))) * a(v5,v6,K(v7,v8)) = x * (K(y,z) * (K(u,w) * a(v5,v6,K(v7,v8)))). [hyper(64,a,6342,a,b,6561,a)]. 6563 K(x,y) * (((z * u) * K(w,v5)) * (a(z,u,K(w,v5)) * K(y,x))) = (R(z,u,K(w,v5)) * u) * K(w,v5). [para(5363(a,1),6347(a,1,2,2,1))]. 6564 ((x * a(y,z,K(u,w))) * K(v5,v6)) * K(v7,v8) = (x * K(v5,v6)) * (a(y,z,K(u,w)) * K(v7,v8)). [para(4230(a,1),6344(a,1,1,2))]. 6566 (x * (a(y,z,K(u,w)) * K(v5,v6))) * K(v7,v8) = (x * K(v5,v6)) * (a(y,z,K(u,w)) * K(v7,v8)). [para(6315(a,1),6564(a,1,1))]. 6567 (a(x,y,K(z,u)) * (w * K(v5,v6))) * K(v7,v8) = (w * a(z,y,K(u,x))) * (K(v5,v6) * K(v7,v8)). [para(4230(a,1),6350(a,1,2,1)),flip(a)]. 6568 (x * a(y,z,K(u,w))) * (K(v5,v6) * K(v7,v8)) = a(w,z,K(y,u)) * ((x * K(v5,v6)) * K(v7,v8)). [hyper(64,a,4235,a(flip),b,6567,a),flip(a)]. 6570 (x * a(y,z,K(u,w))) * (K(v5,v6) * K(v7,v8)) = a(w,z,K(y,u)) * (x * (K(v5,v6) * K(v7,v8))). [para(6303(a,1),6568(a,2,2))]. 6571 (x * (a(y,z,K(u,w)) * K(v5,v6))) * K(v7,v8) = a(w,z,K(y,u)) * (x * (K(v5,v6) * K(v7,v8))). [hyper(64,a,6345,a,b,6570,a)]. 6572 a(x,y,K(z,u)) * (w * (K(v5,v6) * K(v7,v8))) = (w * K(v5,v6)) * (a(z,y,K(u,x)) * K(v7,v8)). [hyper(64,a,6566,a(flip),b,6571,a),flip(a)]. 6573 (x * (K(y,z) * K(u,w))) * a(v5,v6,K(v7,v8)) = (x * K(y,z)) * (a(v7,v6,K(v8,v5)) * K(u,w)). [hyper(3542,a,6572,a)]. 6574 (x * K(y,z)) * (a(u,w,K(v5,v6)) * K(v7,v8)) = x * (K(y,z) * (K(v7,v8) * a(v6,w,K(u,v5)))). [hyper(64,a,6562,a(flip),b,6573,a),flip(a)]. 6575 K(x,y) * ((z * u) * (K(w,v5) * (K(y,x) * a(v5,u,K(z,w))))) = (R(z,u,K(w,v5)) * u) * K(w,v5). [para(6574(a,1),6563(a,1,2))]. 6576 K(x,y) * ((z * (K(u,w) * K(y,x))) * a(v5,v6,K(v7,v8))) = (z * K(u,w)) * a(v5,v6,K(v7,v8)). [para(4220(a,1),6329(a,1,2,3)),flip(a)]. 6577 K(x,y) * ((z * (K(u,w) * K(y,x))) * a(v5,v6,K(v7,v8))) = z * (K(u,w) * a(v5,v6,K(v7,v8))). [hyper(306,a,6312,a(flip),b,6576,a),flip(a)]. 6579 K(x,y) * (z * (K(u,w) * (K(y,x) * a(v5,v6,K(v7,v8))))) = z * (K(u,w) * a(v5,v6,K(v7,v8))). [para(6562(a,1),6577(a,1,2))]. 6580 (x * y) * (K(z,u) * a(u,y,K(x,z))) = (R(x,y,K(z,u)) * y) * K(z,u). [hyper(64,a,6575,a(flip),b,6579,a),flip(a)]. 6581 (R(x,y,K(z,u)) * y) * K(z,u) = (x * y) * K(z,L(u,y,x \ z)). [para(4911(a,1),6580(a,1,2)),flip(a)]. 6582 (L(x,y,K(z,u)) * y) * K(z,u) = (x * y) * K(z,L(u,y,x \ z)). [para(1647(a,1),6581(a,1,1,1))]. 6583 K(x,y) * (L(z,u,K(x,y)) * u) = (z * u) * K(x,L(y,u,z \ x)). [hyper(358,a,6582,a)]. 6584 T(K(x,L(y,z,u \ x)) * (u * z),(u * z) \ 1) = K(x,y) * (L(u,z,K(x,y)) * z). [hyper(306,a,2049,a,b,6583,a)]. 6585 K(x,y) * (L(z,u,K(x,y)) * u) = (z * u) * K(x,L(y,u,z \ 1)). [para(4981(a,2),6583(a,2,2))]. 6586 (K(x,y) * (L(z,u,K(x,y)) * u)) \ ((z * u) * R(K(x,L(y,u,z \ 1)),z,u)) = a(K(x,L(y,u,z \ 1)),z,u). [para(6585(a,2),3974(a,2,1)),flip(a)]. 6587 T((x * y) * K(z,L(u,y,x \ z)),(x * y) \ 1) = K(z,u) * (L(x,y,K(z,u)) * y). [para(244(a,1),6584(a,1,1))]. 6588 T((x * y) * K(z,L(u,y,x \ z)),x \ (y \ 1)) = K(z,u) * (L(x,y,K(z,u)) * y). [hyper(3442,a,6587,a)]. 6589 T((x * y) * K(z,L(u,x,y)),x \ (y \ 1)) = K(z,u) * (L(x,y,K(z,u)) * y). [para(6419(a,1),6588(a,1,1,2))]. 6590 T((x * K(y,z)) * u,x \ (u \ 1)) = K(y,z) * (L(x,u,K(y,z)) * u). [para(3838(a,1),6589(a,1,1))]. 6591 K(x,y) * (L(z,u,K(x,y)) * u) = (z * K(x,y)) * u. [hyper(64,a,4083,a(flip),b,6590,a),flip(a)]. 6592 (K(x,y) * (L(z,u,K(x,y)) * u)) \ ((z * u) * K(x,L(L(y,u,z \ 1),z,u))) = a(K(x,L(y,u,z \ 1)),z,u). [para(3824(a,1),6586(a,1,2,2))]. 6593 (K(x,y) * (L(z,u,K(x,y)) * u)) \ ((z * u) * K(x,L(y,u,z * u))) = a(K(x,L(y,u,z \ 1)),z,u). [para(6494(a,1),6592(a,1,2,2))]. 6594 (K(x,y) * (L(z,u,K(x,y)) * u)) \ ((z * u) * K(x,L(y,u,z * u))) = a(x,z,K(u,L(y,u,z \ 1))). [hyper(306,a,4846,a(flip),b,6593,a),flip(a)]. 6595 (K(x,y) * (L(z,u,K(x,y)) * u)) \ ((z * u) * K(x,L(y,u,z * u))) = a(x,z,K(u,y)). [para(3238(a,1),6594(a,2,3))]. 6597 ((x * K(y,z)) * u) \ ((x * u) * K(y,L(z,u,x * u))) = a(y,x,K(u,z)). [para(6591(a,1),6595(a,1,1))]. 6598 ((x * K(y,z)) * u) \ ((x * u) * K(y,L(z,u,x))) = a(y,x,K(u,z)). [para(6433(a,1),6597(a,1,2,2))]. 6599 ((x * K(y,z)) * u) \ (x * (u * K(y,z))) = a(y,x,K(u,z)). [para(3832(a,1),6598(a,1,2))]. 6600 ((x * y) \ (K(z,(x * y) / (x * (u \ y))) * ((x * K(u,z)) * y))) / a(z,x * (K(u,z) * y),a(L(u,y,x),K(u,z),K(y,x))) = a(x,K(u,z),y). [para(4853(a,2),5204(a,1,2,3))]. 6601 ((x * y) \ (K(z,(x * y) / (x * (u \ y))) * ((x * K(u,z)) * y))) / a(z,x * (K(u,z) * y),1) = a(x,K(u,z),y). [para(6296(a,1),6600(a,1,2,3))]. 6602 ((x * y) \ (K(z,(x * y) / (x * (u \ y))) * ((x * K(u,z)) * y))) / 1 = a(x,K(u,z),y). [para(447(a,1),6601(a,1,2))]. 6604 L(a(x,K(y,z),u),x * (K(y,z) * u),K(z,L(y,u,x))) = a(x,K(y,z),u). [hyper(64,a,5203,a,b,6602,a)]. 6606 (x * y) \ (((x * K(z,u)) * y) * K(u,T((x * y) / (x * (z \ y)),w))) = a(x,K(z,u),y). [hyper(64,a,5205,a(flip),b,6604,a)]. 6607 (x * y) \ (((x * K(z,u)) * y) * K(u,(x * (z \ y)) \ (x * y))) = a(x,K(z,u),y). [para(108(a,1),6606(a,1,2,2,2))]. 6608 (x * y) \ (((x * K(z,u)) * y) * K(L(u,y,x),T(z,w))) = a(x,K(z,u),y). [para(3867(a,2),6607(a,1,2,2))]. 6609 (x * y) \ (((K(z,u) * x) * y) * K(L(T(u,w),y,x),T(z,v5))) = a(x,K(z,T(u,w)),y). [para(1946(a,1),6608(a,1,2,1,1))]. 6610 a(x,K(y,T(z,u)),w) = (x * w) \ (((K(y,z) * x) * w) * K(L(z,w,x),T(T(y,v5),v6))). [para(1962(a,1),6609(a,1,2,2)),flip(a)]. 6611 (x * y) \ (((K(z,u) * x) * y) * K(L(u,y,x),T(T(z,w),v5))) = a(x,K(z,u),y). [hyper(4588,a,6610,a),flip(a)]. 6613 (x * y) \ (((K(z,u) * x) * y) * K(u,L(T(T(z,w),v5),y,x))) = a(x,K(z,u),y). [para(3853(a,1),6611(a,1,2,2))]. 6614 (x * y) \ ((K(z,u) * x) * (y * K(u,T(T(z,w),v5)))) = a(x,K(z,u),y). [para(5146(a,1),6613(a,1,2))]. 6615 (x * y) \ ((K(z,u) * x) * (K(u,T(z,w)) * y)) = a(x,K(z,u),y). [para(1813(a,1),6614(a,1,2,2))]. 6616 (x * y) \ ((x * K(z,u)) * (K(u,z) * y)) = a(x,K(z,u),y). [para(2612(a,1),6615(a,1,2))]. 6617 a(x,K(y,z),K(z,y) * u) = a(x,K(y,z),u). [hyper(2946,a,6616,a)]. 6618 ((K(x,y) * (K(y,x) * z)) * u) \ (R(u,K(x,y),K(y,x) * z) * T(K(x,y) * (K(y,x) * z),u)) = a(u,K(x,y),z). [hyper(64,a,3342,a(flip),b,6617,a)]. 6619 (x * y) \ (R(y,K(z,u),K(u,z) * x) * T(K(z,u) * (K(u,z) * x),y)) = a(y,K(z,u),x). [para(2914(a,1),6618(a,1,1,1))]. 6620 (x * y) \ (L(y,K(z,u),K(u,z) * x) * T(K(z,u) * (K(u,z) * x),y)) = a(y,K(z,u),x). [para(4097(a,1),6619(a,1,2,1))]. 6621 (x * y) \ (L(y,K(z,u),K(u,z) * x) * T(x,y)) = a(y,K(z,u),x). [para(2914(a,1),6620(a,1,2,2,1))]. 6622 (x * y) \ (x * L(y,K(z,u),K(u,z) * x)) = a(y,K(z,u),x). [para(6314(a,1),6621(a,1,2))]. 6623 (x * y) \ ((x * K(z,u)) * (K(u,z) * y)) = a(y,K(u,z),x). [para(3403(a,1),6622(a,1,2))]. 6624 a(x,K(y,z),u) = a(u,K(z,y),x). [hyper(64,a,6616,a(flip),b,6623,a)]. 6625 (x * (K(y,z) * u)) \ ((x * K(y,z)) * u) = a(u,K(z,y),x). [hyper(1413,a,6624,a)]. 6626 (x * (y * K(z,u))) \ ((x * K(z,u)) * y) = a(y,K(u,z),x). [para(244(a,1),6625(a,1,1,2))]. 6627 K(x,L(y,z,u)) * K(y,L(x,u,z)) = a(z,K(x,y),u). [hyper(64,a,6362,a(flip),b,6626,a)]. 6628 a(x,K(y,z),T(u,w)) = a(u,K(z,y),x). [hyper(6383,a,6627,a)]. 6629 ((x * K(y,z)) * u) \ (x * (u * K(y,z))) = a(x,K(z,y),u). [hyper(64,a,4403,a,b,6628,a)]. 6631 a(x,K(y,z),u) = a(z,x,K(u,y)). [hyper(64,a,6599,a(flip),b,6629,a),flip(a)]. 6632 a(x,K(y,z),u) = a(x,y,K(u,z)). [hyper(306,a,6404,a,b,6631,a),flip(a)]. 6633 a(x,y,K(z,u)) \ (z * w) = L(z,K(y,u),x) * w. [para(6632(a,1),6251(a,1,1))]. 6634 L(x,K(y,z),u) = L(x,y,K(u,z)). [hyper(6286,a,6633,a),flip(a)]. 6635 L(x,K(y,z),u) = T(x,a(z,y,u)). [hyper(306,a,4961,a(flip),b,6634,a),flip(a)]. 6637 L(T(x,y),K(y,z),u) = T(x,L(y,u,z)). [hyper(306,a,6417,a(flip),b,6635,a),flip(a)]. 6640 L(x * y,K(x \ 1,z),u) = T(y * x,L(x \ 1,u,z)). [para(2049(a,1),6637(a,1,1))]. 6643 T(x * y,L(y \ 1,z,u)) = L(y * x,K(u,y),z). [para(2074(a,1),6640(a,1,2)),flip(a)]. 6644 T(x,L(y \ 1,z,u)) * y = L(y * x,K(u,y),z). [hyper(64,a,1696,a(flip),b,6643,a)]. 6645 T(x,L(y \ 1,z,u)) * y = L(y * x,u,K(z,y)). [hyper(306,a,6634,a(flip),b,6644,a),flip(a)]. 6646 (L(x,y,z) * u) * a(z,y,x) = L(x * u,z,K(y,x)). [hyper(64,a,6436,a,b,6645,a)]. 6647 L(x,y,z \ (z / y)) = y * L((y \ 1) * x,z,K(y,y \ 1)). [para(6646(a,1),6280(a,1,2)),flip(a)]. 6648 L(x,y,z \ (z / y)) = y * ((y \ 1) * x). [para(435(a,1),6647(a,2,2))]. 6649 L(x,y,z \ (z / y)) = L(x,y,y \ 1). [hyper(306,a,2323,a(flip),b,6648,a),flip(a)]. 6651 L(a(x,x,y) * z,u,u \ z) = L(z * a(x,x,y),u,u \ 1). [hyper(64,a,6168,a(flip),b,6649,a)]. 6653 L(a(x,x,y) * z,u,u \ z) = u * ((u \ a(x,x,y)) * z). [hyper(306,a,6088,a(flip),b,6651,a),flip(a)]. 6654 x * (a(y,y,x) * a(z,z,u)) = y * ((y \ a(z,z,u)) * x). [hyper(64,a,6183,a(flip),b,6653,a)]. 6655 (x * x) * ((x \ y) * a(z,z,u)) = x * (x * ((x \ a(z,z,u)) * y)). [para(6654(a,1),6100(a,1,2)),flip(a)]. 6656 L(x * (x * ((x \ a(y,y,x * z)) * z)),y,y) = (x * x) * (x \ z). [para(6655(a,1),6187(a,1,1))]. 6657 L(x * y,x,x \ 1) = (x * x) * (x \ y). [hyper(64,a,6188,a(flip),b,6656,a)]. 6658 x * L(y,x,x \ 1) = (x * x) * (x \ y). [hyper(2329,a,6657,a)]. 6659 T(x,(y * y) * (y \ (z \ u))) = T(x,z \ (y * u)). [para(6658(a,1),6559(a,1,2))]. 6660 T(x,y * (y * (y \ (z \ u)))) = T(x,z \ (y * u)). [hyper(64,a,5012,a(flip),b,6659,a)]. 6661 T(x,y \ (z * u)) = T(x,z * (y \ u)). [para(10(a,1),6660(a,1,2,2)),flip(a)]. 6665 T((T(T(x,y),z) / u) \ w,T(T(x,u \ 1),y) \ (v5 * u)) * T(u \ T(T(T(x,u \ 1),y),z),v5) = T(w,L(v5,T(T(T(x,u \ 1),y),z),u)). [para(2950(a,1),6450(a,1,1))]. 6666 T((T(T(x,y),z) / u) \ w,T(x,u \ 1) \ (v5 * u)) * T(u \ T(T(T(x,u \ 1),y),z),v5) = T(w,L(v5,T(T(T(x,u \ 1),y),z),u)). [para(2950(a,1),6665(a,1,1))]. 6668 T((T(T(x,y),z) / u) \ w,x \ (v5 * u)) * T(u \ T(T(T(x,u \ 1),y),z),v5) = T(w,L(v5,T(T(T(x,u \ 1),y),z),u)). [para(2950(a,1),6666(a,1,1))]. 6670 T((T(T(x,y),z) / u) \ w,x \ (v5 * u)) * T(T(T(x,y),z) / u,v5) = T(w,L(v5,T(T(T(x,u \ 1),y),z),u)). [para(2057(a,1),6668(a,1,2,1))]. 6672 T((T(T(x,y),z) / u) \ w,x \ (v5 * u)) * T(T(T(x,y),z) / u,v5) = T(w,L(v5,T(T(x,u \ 1),y),u)). [hyper(306,a,4193,a(flip),b,6670,a),flip(a)]. 6674 T((T(T(x,y),z) / u) \ w,x \ (v5 * u)) * T(T(T(x,y),z) / u,v5) = T(w,L(v5,T(x,u \ 1),u)). [hyper(306,a,4193,a(flip),b,6672,a),flip(a)]. 6676 T((T(T(x,y),z) / u) \ w,x \ (v5 * u)) * T(T(T(x,y),z) / u,v5) = T(w,L(v5,x,u)). [hyper(306,a,4193,a(flip),b,6674,a),flip(a)]. 6677 T((x \ T(T(y,z),u)) \ w,y \ (v5 * x)) * T(x \ T(T(y,z),u),v5) = T(w,L(v5,y,x)). [hyper(6380,a,6676,a)]. 6679 T((x \ T(T(y,z),u)) \ w,v5 * (y \ x)) * T(x \ T(T(y,z),u),v5) = T(w,L(v5,y,x)). [para(6661(a,1),6677(a,1,1))]. 6680 T(x,L(y,z,u)) = T(x,y). [hyper(64,a,6381,a(flip),b,6679,a),flip(a)]. 6681 T(x,a(y,z,u)) = x. [hyper(6416,a,6680,a)]. 6702 K(a(x,y,z),u) = 1. [hyper(2103,a,6681,a)]. 6724 a(K(x,y),z,u) = 1. [hyper(64,a,4869,a,b,6702,a)]. 6725 $F. [resolve(6724,a,65,a)]. ============================== end of proof ========================== ============================== STATISTICS ============================ Given=6197. Generated=66290903. Kept=6709. proofs=1. Usable=6193. Sos=509. Demods=0. Limbo=1, Disabled=55. Hints=9270. Kept_by_rule=0, Deleted_by_rule=65768704. Forward_subsumed=515490. Back_subsumed=5. 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=87071. Nonunit_bsub_feature_tests=620. Megabytes=27.68. User_CPU=381.77, System_CPU=19.99, Wall_clock=402. ============================== end of statistics ===================== ============================== end of search ========================= THEOREM PROVED THEOREM PROVED Exiting with 1 proof. ------ process 26837 exit (max_proofs) ------  Process 26837 exit (max_proofs) Sun Jul 18 11:03:30 2021