============================== Prover9 =============================== Prover9 (64) version 2021-dec-16 (stable), March 2022. Process 15247 was started by veroff on b146-09, Thu Jun 16 10:26:57 2022 The command was "prover9 -f osb_Kcom_to_aa1_b.in". ============================== end of head =========================== ============================== INPUT ================================= % Reading from file osb_Kcom_to_aa1_b.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). clear(cac_redundancy). 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). ((1 / x) \ y) * (z * x) = x * ((y * z) * x) # label("Osborn"). K(x,y) = K(y,x) # label("Kcom"). end_of_list. formulas(goals). a(a(x,y,z),u,w) = 1 # label("aa1"). 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 # label("Compat 1"). L(x,y,z) != x | a(z,y,x) = 1 # label("Compat 2"). T(x,y) != x | T(y,x) = y # label("Compat 3"). T(x,y) != x | K(x,y) = 1 # label("Compat 4"). K(x,y) != 1 | T(x,y) = x # label("Compat 5"). 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(a(x,y,z),u,w) = 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). ((1 / x) \ y) * (z * x) = x * ((y * z) * x). K(x,y) = K(y,x). 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 | x \ z = y \ z. x != y | z \ x = z \ y. x != y | y != z | x = z. a(a(c1,c2,c3),c4,c5) != 1. 1 \ x = x. x \ x = 1. x \ (y \ (y * (x * z))) = z. 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 * (y * (y \ (x \ z))) = z. x / x = 1. x / 1 = x. x * (((x \ y) * z) / z) = y. x / (y \ x) = y. ((1 / x) * x) * y = y. (x / y) \ x = y. x \ (((x * y) / z) * z) = y. (x \ (x * (y / z))) * z = y. (((x * y) / z) * z) / y = x. (((x / y) / z) * z) * y = x. (x * (y * z)) * a(x,y,z) = (x * y) * z. a(x,y / z,z) = (x * y) \ ((x * (y / z)) * z). (x * y) \ ((x * (y / z)) * z) = a(x,y / z,z). (x * y) * K(y,x) = y * x. K(x \ y,x) = y \ ((x \ y) * x). x \ ((y \ x) * y) = K(y \ x,y). K(x,y / x) = y \ (x * (y / x)). x \ (y * (x / y)) = K(y,x / y). 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). 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(1,x) = x \ x. T(x,x) = x. x * T(y,x) = y * x. T(x,x \ y) = (x \ y) \ y. T(x / y,y) = y \ x. T(T(x,y),z) = y \ (T(x,z) * y). x \ (T(y,z) * x) = T(T(y,x),z). T(x \ (y * x),z) = T(T(y,z),x). L(T(T(x,y),z),u,w) = T(L(T(x,z),u,w),y). R(T(x,y),z,u) = y \ (R(x,z,u) * y). x \ (R(y,z,u) * x) = R(T(y,x),z,u). T(R(T(x,y),z,u),w) = T(T(R(x,z,u),w),y). T(T(R(x,y,z),u),w) = T(R(T(x,w),y,z),u). x * (y * z) = z * ((((1 / z) * x) * y) * z). x * ((((1 / x) * y) * z) * x) = y * (z * x). ((1 / (x \ y)) \ z) * y = (x \ y) * ((z * x) * (x \ y)). (x \ y) * ((z * x) * (x \ y)) = ((1 / (x \ y)) \ z) * y. ((1 / x) \ y) * z = x * ((y * (z / x)) * x). x * ((y * (z / x)) * x) = ((1 / x) \ y) * z. K(x,y) = (x * y) \ (y * x). x != y | 1 * z != y | x = z. 1 * x != y | z != y | x = z. x != y | z * u != y | z \ x = u. x != y | z * u != y | x / u = z. x != y | z \ u != y | z * x = u. 1 * x != y | x = y. x * y != (x * z) * 1 | y = z. (x * y) * 1 != x * z | z = y. x != y * z | y \ x = z. x * y != z | x \ z = y. ((x * y) / z) * z != x * u | y = u. x != y * 1 | x = y. x * 1 != y | y = x. x * 1 != y | 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) * z != u * y | x = u. 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. x != y \ (z * x) | z = y. x \ (y * z) != z | y = x. T(T(x,y),z) != T(u,y) | T(x,z) = u. 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. ((x / y) * y) * z = x * z. (x * (x \ y)) * z = y * z. x * (y * (y \ z)) = x * z. x * (y \ (y * z)) = x * z. ((x / y) * y) / z = x / z. (x * (x \ y)) / z = y / 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 | 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. 1 \ x != y | x = y. (x * y) \ (y * x) != z | K(y,x) = z. K(x,x) = 1. (x \ x) * y = y. x * (y \ y) = x. x / (y * (y \ 1)) = x. x / ((1 / y) * y) = x. 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). L(x,y,z) = T(L(x,y,z),x). T(L(x,y,z),x) = L(x,y,z). R(x,y,z) = T(R(x,y,z),x). T(R(x,y,z),x) = R(x,y,z). x != y | z / (x \ z) = y. x / (y \ x) = z / (y \ z). x / (y \ x) = (y / z) * z. 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 * (x \ 1)) = (x \ 1) * ((y * z) * (x \ 1)). (x \ 1) * ((y * z) * (x \ 1)) = (x \ y) * (z * (x \ 1)). x != y / z | x \ y = z. x / y != z | z \ x = y. x != y | (z / x) \ z = y. (x / y) \ x = z * (z \ y). ((x / y) \ x) * z = y * z. x * ((y / (x \ z)) \ y) = z. ((x / (y / z)) \ x) * z = y. x != y \ z | z / x = y. x \ y != z | y / z = x. x \ x != y | T(1,x) = y. T(1,x) = 1. T(x,1) = x. 1 != T(x,y) | 1 = x. T(x,y) != 1 | 1 = x. T(x,y * (y \ 1)) = x. ((1 / x) \ y) * (z * x) != u | x * ((y * z) * x) = u. x * (((1 / x) * y) * x) = y * x. (x \ x) * y != z | y = z. (x \ x) * L(y,z,u) != L(w,z,u) | y = w. L(x,y,z) != (u \ u) * L(w,y,z) | w = x. (x \ x) * R(y,z,u) != R(w,z,u) | y = w. R(x,y,z) != (u \ u) * R(w,y,z) | w = x. x * (y \ y) != z | x = z. (x * (x \ 1)) * y != z | y = z. ((1 / x) * x) * y != z | y = z. x * (y * (y \ 1)) != z | x = z. (x * (x \ 1)) \ y != z | y = z. ((1 / x) * x) \ y != z | y = z. T(x,L(L(x,y,z),u,w)) = x. T(x,L(T(x,y),z,u)) = x. R(x,x \ 1,y) = y / ((x \ 1) * y). 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). x * y != z | y * T(x,y) = z. (x \ y) * T(x,x \ y) = y. (x * T(y,x)) * z = (y * x) * z. x * y != ((x * z) / u) * u | z = y. x = T((y * x) / y,y). T((x * y) / x,x) = y. (x * T(y,x)) / x = y. x \ (y * T(x,y)) = 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). 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). 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 * T(y,x) != z * x | y = z. T(x,y) * x = x * T(x,y). 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(R(x,y,z),y * z) = (y * z) \ ((x * y) * z). (x * y) \ ((z * x) * y) = T(R(z,x,y),x * 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,y \ x) = x / y. (x / y) * y != z | x = z. x \ (y * (y \ x)) = 1. x * 1 != y * z | y \ x = z. 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). K(x \ 1,x) = (x \ 1) * x. L(x,y,1 / y) = (1 / y) * (y * x). (1 / x) * (x * y) = L(y,x,1 / x). K(x,1 / x) = 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. T(x,y) = T(T((z * x) / z,y),z). T(T((x * y) / x,z),x) = T(y,z). x != T(y,z) | (z * x) / z = y. T(x,y) != z | (y * z) / y = x. x * y != z | y \ z = T(x,y). x * y != z | T(x,y) = y \ z. x \ x != y | 1 = y. R(x,y,z) * (y * z) != u | (x * y) * z = u. x * T(y,x) != z | y * x = z. (x * (y * z)) * a(x,y,z) != u | (x * y) * z = u. (x * y) * L(z,y,x) != u | x * (y * z) = u. x \ ((x * y) * L(z,y,x)) = y * z. L(x \ (y \ z),x,y) = (y * x) \ z. x \ (((x * (y * z)) / u) * u) != y * w | z = w. (R(x,y,z) * (y * z)) / z = x * y. R((x / y) / z,z,y) = x / (z * y). x * K(y \ x,y) = (y \ x) * y. x * K(y,x / y) = y * (x / y). x * y != (y * x) * z | K(x,y) = z. (x * y) * z != y * x | K(y,x) = z. (x * y) * K(T(x,y),y) = T(x,y) * y. (x * y) / T(y * x,K(x,y)) = K(x,y). T(L(x,y,z),u) != w | L(T(x,u),y,z) = w. L(T(x,L(x,y,z) \ u),y,z) = (L(x,y,z) \ u) \ u. x \ T(y,y \ z) = x \ ((y \ z) \ z). T(x,x \ y) \ z = ((x \ y) \ y) \ z. x / T(y,y \ z) = x / ((y \ z) \ z). T(x,x \ y) / z = ((x \ y) \ y) / z. x * T(y,y \ z) = x * ((y \ z) \ z). T(x,x \ y) * z = ((x \ y) \ y) * z. L((x \ y) \ y,z,u) = T(L(x,z,u),x \ y). T(L(x,y,z),x \ u) = L((x \ u) \ u,y,z). x != y | z != y | x = z. x / (y \ x) != z | y = z. x = y / (x \ ((y / z) * z)). x / (y \ ((x / z) * z)) = y. x = y / (x \ ((y * z) / z)). x / (y \ ((x * z) / z)) = y. (x * y) / y != z * u | x / u = z. (x / y) * y != z / u | x * u = z. x / y != (z / u) * u | z * y = x. ((x / y) * y) * z != u | x * z = u. (x * y) / y != z | x = z. (x * T(y,x)) / x != z | y = z. (x / y) * y != z * u | z \ x = u. x * (x \ y) != z * u | y / u = z. (x * (x \ y)) / z != u | y / z = u. x \ (x * y) != z * u | z \ y = u. x * (x \ y) != z \ u | z * y = u. x \ y != z * (z \ u) | x * u = y. x \ (x * y) != z | y = z. x * (y * (y \ z)) != u | x * z = u. x \ (1 * (x * y)) != z | y = z. (x / y) \ x != z | y = z. x \ (y * x) != z | T(y,x) = z. x \ (y * 1) != z | x \ y = z. (x / y) * y != z / u | x \ z = u. x / y != (z / u) * u | z \ x = y. (x / (y \ x)) * z != u | y * z = u. (x * (x \ y)) \ z != u | y \ z = u. x != y * (y \ z) | z = x. x = ((y / z) \ y) * (z \ x). ((x / y) \ x) * (y \ z) = z. (x / y) * ((z / y) \ z) = x. (x \ y) * (y / x) = (y / x) * T(y / x,x). (x / y) * T(x / y,y) = (y \ x) * (x / y). T(x / (x / y),(z / (x / y)) \ z) = y. T(x \ y,y / x) = x \ y. (x \ y) * (y / x) = (y / x) * (x \ y). (x / y) * (y \ x) = (y \ x) * (x / y). x != y * z | z * T(y,z) = x. x * T(x \ 1,x) = K(x \ 1,x). (x \ 1) \ K(x \ 1,x) = x. x != y * z | ((u / y) \ u) * z = x. ((x / y) \ x) * (1 / y) = K(y,1 / y). ((x \ 1) \ y) * (z * T(x,x \ 1)) = T(x,x \ 1) * ((y * z) * T(x,x \ 1)). T(x,x \ 1) * ((y * z) * T(x,x \ 1)) = ((x \ 1) \ y) * (z * T(x,x \ 1)). x / L(y,z,x / (z * y)) = (x / (z * y)) * z. ((x \ y) \ y) * (T(x,x \ y) \ z) = z. x != y * ((z / u) \ z) | x / u = y. x * ((y / z) \ y) != u | u / z = x. x \ (x * y) = L(y,1,x). x = L(x,1,y). L(x,1,y) = x. L(x,1,y) != z | x = z. 1 = L(1,x,y). L(1,x,y) = 1. x * y != x * z | z = y. x * (1 / x) != y | K(x,1 / x) = y. L(x,y,1 / y) != z | (1 / y) * (y * x) = z. 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. x / L(y \ 1,y,x) = x * y. 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). R(1 / x,x,y) * z = (y / (x * y)) * z. R(1 / x,x,y) \ y = x * y. R(1 / x,x,x \ y) = (x \ y) / y. R(1 / (x / y),x / y,y) = y / x. R(x / (y * x),z,u) = R(R(1 / y,z,u),y,x). R(R(1 / x,y,z),x,u) = R(u / (x * u),y,z). 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. T(x,y) * x != z | x * T(x,y) = z. x = L(x,y,1). L(x,y,1) = x. T(L(x \ 1,x,1 / x),x) = x \ 1. x / L(y,1 / y,x) = x * (1 / y). x * y != z \ y | R(1 / x,x,y) = z. x \ y != z * y | R(1 / z,z,y) = x. R(x,x \ 1,y) \ y = (x \ 1) * y. (x * y) \ ((x \ (x * y)) * x) = K(y,x). K(x,y) = (y * x) \ ((y \ (y * x)) * y). x * K(y,x / y) != z | y * (x / y) = z. T(T(x,y),z) != u | T(T(x,z),y) = u. x * T(x \ (y * x),z) = T(y,z) * x. x * T(x \ (y * x),z) != u | T(y,z) * x = u. x * y != ((z * u) * w) / (u * w) | x \ R(z,u,w) = y. (x * y) \ R(x,y,y \ 1) = y \ 1. x * y != (z * u) \ (z * (u * w)) | x \ L(w,u,z) = y. x \ L(y,x \ 1,x) = (x \ 1) * y. x != y | z * u != y | u \ x = T(z,u). x != y | z * u != y | T(z,u) = u \ x. x * y != ((z * u) * w) / (u * w) | R(z,u,w) / y = x. R(x,1 / y,y) / y = x * (1 / y). 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)). T(x,y) = ((1 / y) * x) * y. x * (y * x) = ((1 / x) \ y) * x. ((1 / x) \ y) * x = x * (y * x). x * ((y * (1 / x)) * x) = T(y,1 / x) * x. x != (y * (y \ z)) * u | z * u = x. x * y = T((1 / y) \ x,y). T((1 / x) \ y,x) = y * x. x * y != ((1 / z) * u) * z | T(u,z) / y = x. T(x,y) / y = (1 / y) * x. x * y != T(z \ u,u / z) | (z \ u) / y = x. (x \ y) / (y / x) = (1 / (y / x)) * (x \ y). (1 / (x / y)) * (y \ x) = (y \ x) / (x / y). x * y != T(z,L(T(z,u),w,v5)) | z / y = x. x / L(T(x,y),z,u) = (1 / L(T(x,y),z,u)) * x. (1 / L(T(x,y),z,u)) * x = x / L(T(x,y),z,u). x * y != T(L(z,u,w),z) | L(z,u,w) / y = x. L(x,y,z) / x = (1 / x) * L(x,y,z). (1 / x) * L(x,y,z) = L(x,y,z) / x. x * y != T(T(z,u),z) | T(z,u) / y = x. T(x,y) / x = (1 / x) * T(x,y). (1 / x) * T(x,y) = T(x,y) / x. x * y != T(z,T(z,u)) | z / y = x. x / T(x,y) = (1 / T(x,y)) * x. (1 / T(x,y)) * x = x / T(x,y). x * y != T(z,L(z,u,w)) | z / y = x. x / L(x,y,z) = (1 / L(x,y,z)) * x. (1 / L(x,y,z)) * x = x / L(x,y,z). x * y != T(z / u,u) | (u \ z) / y = x. (x \ y) / x = (1 / x) * (y / x). (1 / x) * (y / x) = (x \ y) / x. T(x,y) != z * y | (1 / y) * x = z. T(x,y \ 1) = (y * x) * (y \ 1). (x * y) * (x \ 1) = T(y,x \ 1). T(x,y) / y != z | (1 / y) * x = z. (x * (y * x)) / x = (1 / x) \ y. T(x * y,z) = T(T((1 / y) \ x,z),y). T(T((1 / x) \ y,z),x) = T(y * x,z). x * y != T(z,y) | (1 / y) \ x = z. T(x,y) != z * y | (1 / y) \ z = x. T(x \ y,x \ 1) = y * (x \ 1). (T(x,y) / y) \ z = ((1 / y) * x) \ z. (x * R(T(y,x),z,u)) * w = (R(y,z,u) * x) * w. L(x \ T(y,z),x,z) = (z * x) \ (y * z). 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 * T(x \ y,z)) / x = T(y / x,z). x * T(x \ y,z) != u | T(y / x,z) * x = u. (x * T(x \ y,z)) / x != u | T(y / x,z) = u. (x * T(y,z)) / x = T((x * y) / x,z). x \ ((y \ x) * y) != z | K(y \ x,y) = z. x \ (y * (x / y)) != z | K(y,x / y) = z. x * (y * x) != z | z / x = (1 / x) \ y. x * (y * x) != z | (1 / x) \ y = z / x. ((x \ 1) \ y) * T(x,x \ 1) = T(x,x \ 1) * (y * T(x,x \ 1)). T(x,x \ 1) * (y * T(x,x \ 1)) = ((x \ 1) \ y) * T(x,x \ 1). x * (1 / x) = T(x,1 / x) / x. T(x,1 / x) / x = x * (1 / x). (T(x,y) / x) / T(x,y) = 1 / x. x * T(x \ 1,y) = T(x \ 1,y) / (x \ 1). T(x \ 1,y) / (x \ 1) = x * T(x \ 1,y). (1 / x) * ((x \ y) \ y) = T(x,x \ y) / x. T(x,x \ y) / x = (1 / x) * ((x \ y) \ y). T(1 / T(x,y),x) = x \ (x / T(x,y)). x * (y / (x \ 1)) = ((x \ 1) \ y) / (x \ 1). ((x \ 1) \ y) / (x \ 1) = x * (y / (x \ 1)). x != T(y / z,z \ y) | y / z = x. 1 / x = (x * (1 / x)) * (x \ 1). (x * (1 / x)) * (x \ 1) = 1 / x. x != T(L(y,z,u),y) | L(y,z,u) = x. L(x \ 1,y,z) = (x * L(x \ 1,y,z)) * (x \ 1). (x * L(x \ 1,y,z)) * (x \ 1) = L(x \ 1,y,z). x * y != T(R(z,u,w),z) | R(z,u,w) / y = x. R(x \ 1,y,z) / (x \ 1) = x * R(x \ 1,y,z). x * y != T(z / u,u \ z) | x \ (z / u) = y. (x * (1 / x)) \ (1 / x) = x \ 1. (x * T(y,x)) * z != u | (y * x) * z = u. (x * y) * (y \ 1) = T(T(x,y),y \ 1). T(T(x,y),y \ 1) = (x * y) * (y \ 1). ((x * (y * x)) / x) * (z * x) = x * ((y * z) * x). (1 / (1 / x)) / x = (1 / x) * (1 / (1 / x)). (1 / x) * (1 / (1 / x)) = (1 / (1 / x)) / x. K(x,1 / x) \ (1 / x) = x \ 1. x * y != z * (u * (u \ w)) | (z * w) / y = x. (x * y) / L(z \ y,z,x) = x * z. (x * y) * L(z,T(x,y),y) = y * (T(x,y) * 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 * z)) / T(x * y,L(z,y,x)) = L(z,y,x). x * y != (z * (z \ u)) * w | x \ (u * w) = y. x \ (y * L(z,x \ y,x)) = (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 * ((x \ 1) * y) != z | L(y,x \ 1,x) = z. x != L(y,z,x) | z \ T(x * z,x) = y. L(x,y,z) != z | y \ T(z * y,z) = x. (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(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((x \ 1) \ y,x \ 1,x) != z | x * y = z. L(x \ 1,x,y) != z | (y * x) \ y = z. L(x \ 1,K(x,1 / x),y) = (y * K(x,1 / x)) \ (y * (1 / x)). (x * K(y,1 / y)) \ (x * (1 / y)) = L(y \ 1,K(y,1 / y),x). L(L(x,y,z) \ u,L(x,y,z),z * y) = (z * (y * x)) \ ((z * y) * u). R(x,x \ y,z) \ (y * z) = (x \ y) * z. x * y != ((z / u) * u) * w | x \ (z * w) = y. R(x / y,y,z) \ (x * z) = y * z. R(x,y,y \ z) * z = (x * y) * (y \ z). R(x,y / z,z) * y = (x * (y / z)) * z. R(R(x,y,z),y * z,u) = (((x * y) * z) * u) / ((y * z) * u). (((x * y) * z) * u) / ((y * z) * u) = R(R(x,y,z),y * z,u). T(R(x,y,z),u) * (y * z) = (T(x,u) * y) * z. L(R(x,y,z),u,w) * (y * z) = (L(x,u,w) * y) * z. R(R(x,y,z),u,w) * (y * z) = (R(x,u,w) * y) * z. (x * y) * z != u * (y * z) | R(x,y,z) = u. R(x,y,T(z,y)) * (z * y) = (x * y) * T(z,y). ((x * y) * z) * K(y * z,R(x,y,z)) = (y * z) * R(x,y,z). R(x,R(y,z,u),z * u) * ((y * z) * u) = (x * R(y,z,u)) * (z * u). 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 / (z * (z \ 1)) | y = x. x * (y \ 1) = R(x / y,y,y \ 1). R(x / y,y,y \ 1) = x * (y \ 1). x != (y * (y \ z)) / u | z / u = x. x / (y * (z \ x)) = R(z / y,y,z \ x). R(x / y,y,x \ z) = z / (y * (x \ z)). R(x / y,y,y \ z) = (x * (y \ z)) / z. R(x / (y / z),y / z,z) = (x * z) / y. T(R((x * y) / x,x,y),x * y) = y. R(R(x,y,z) / u,u,y * z) = ((x * y) * z) / (u * (y * z)). R(R(x / y,y,z),y * z,u) = ((x * z) * u) / ((y * z) * u). (x / y) * y != z * u | x / u = z. R(x * y,K(y,x),z) \ ((y * x) * z) = K(y,x) * z. R(x,K(y \ x,y),z) \ (((y \ x) * y) * z) = K(y \ x,y) * z. R(x * y,L(z,y,x),u) \ ((x * (y * z)) * u) = L(z,y,x) * u. (x * y) / L(z,y / z,x) = x * (y / z). R(x,x \ 1,x) = x / K(x \ 1,x). x / K(x \ 1,x) = R(x,x \ 1,x). x * y != L(R(z,u,w),v5,v6) | x \ R(L(z,v5,v6),u,w) = y. x \ R(L(y,x \ 1,x),z,u) = (x \ 1) * R(y,z,u). x * K(x \ 1,x) = L(x,x \ 1,x). x * y != L(L(z,u,w),v5,v6) | x \ L(L(z,v5,v6),u,w) = y. (1 / x) \ L(L(y,x,1 / x),z,u) = x * L(y,z,u). (1 / x) * (y * x) = L(T(y,x),x,1 / x). L(T(x,y),y,1 / y) = (1 / y) * (x * y). x * y != R(T(z,u),w,v5) | T(R(z,w,v5),u) / y = x. T(R(x,y,y \ 1),z) / (y \ 1) = T(x,z) * y. x * y != R(R(z,u,w),v5,v6) | R(R(z,v5,v6),u,w) / y = x. R(R(x,1 / y,y),z,u) / y = R(x,z,u) * (1 / y). (x * y) \ z != L(u,y,x) | y \ (x \ z) = u. L(x,y,z) != (z * y) \ u | y \ (z \ u) = x. (((x * y) / z) * z) / y != u * w | x / w = u. (x * (x \ y)) / z != u * w | (y / z) / w = u. (x * (x \ y)) * z != u | y * z = u. ((x / y) * y) * z != u * w | u \ (x * z) = w. (x * y) / y != z * u | z \ x = u. x * (y * (y \ z)) != u * w | (x * z) / w = u. x \ (x * y) != z * u | y / u = z. ((x / y) * y) / z != u | x / z = u. x \ y != (z / u) * u | x * z = y. x * (y \ (y * z)) != u | x * z = u. K(x,y) != z | K(y,x) = z. (x * y) \ (y * x) != z | K(x,y) = z. T(x \ 1,y) / (x \ 1) != z | x * T(x \ 1,y) = z. L((x \ y) \ z,x \ y,x) != u | y \ (x * z) = u. L(T(x \ 1,y),x,z / x) = T(z \ (z / x),y). T(x \ (x / y),z) = L(T(y \ 1,z),y,x / y). R(T(1 / x,y),x,x \ z) = T((x \ z) / z,y). T((x \ y) / y,z) = R(T(1 / x,z),x,x \ y). R(T(1 / (x / y),z),x / y,y) = T(y / x,z). x * (y \ (y * (x \ z))) != u * w | u \ z = w. x * (y * (y \ (x \ z))) != u * w | u \ z = w. x * (y * (y \ z)) != u * w | u \ (x * z) = w. L(T(x \ 1,x),x,1 / x) = x \ 1. x * (1 / y) != x / z | L(y,1 / y,x) = z. x / y != x * (1 / z) | L(z,1 / z,x) = y. (x \ 1) * y != x \ z | L(y,x \ 1,x) = z. x \ y != (x \ 1) * z | L(z,x \ 1,x) = y. x / y != y * (1 / y) | T(y,1 / y) = x. T(x,1 / x) = R(x,1 / x,x). R(x,1 / x,x) = T(x,1 / x). R(L(x,y,z),1 / x,x) = L(T(x,1 / x),y,z). (x \ y) / x != z | (1 / x) * (y / x) = z. L(x,y,z) / x != u | (1 / x) * L(x,y,z) = u. L(T((x \ 1) \ y,z),x \ 1,x) = T(x * y,z). L(x * y,z,u) = L(L((x \ 1) \ y,z,u),x \ 1,x). L(L((x \ 1) \ y,z,u),x \ 1,x) = L(x * y,z,u). T(R(x,y,z),u) != w | R(T(x,u),y,z) = w. R(T((x * y) / x,x * y),x,y) = y. ((x / y) * y) * z != u * w | (x * z) / w = u. ((x / y) \ x) * z != u | y * z = u. (x * (x \ y)) / z != u * w | u \ (y / z) = w. x \ y != ((z / u) * u) * w | x * (z * w) = y. x \ y != (z * u) / u | x * z = y. x * ((y \ z) \ z) != u | x * T(y,y \ z) = u. ((x \ y) \ y) * z != u | T(x,x \ y) * z = u. (x * y) \ ((z * x) * y) = R(T(z,x * y),x,y). x * (y * T(z,x * y)) = L(z,y,x) * (x * y). x * y != z * L(T(u,z),w,v5) | x \ (L(u,w,v5) * z) = y. x \ (L(y,z,x) * (x * z)) = z * T(y,x * z). x * L(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(y,z,u) = L((x * y) / x,z,u) * x. L((x * y) / x,z,u) * x = x * L(y,z,u). (x \ y) * L((x \ y) \ y,z,u) = L(x,z,u) * (x \ y). x != R(y,z,u) * (z * u) | (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 * R(x \ y,z,u) = R(y / x,z,u) * x. R(x / y,z,u) * y = y * R(y \ x,z,u). x * R(y,z,u) = R((x * y) / x,z,u) * x. R((x * y) / x,z,u) * x = x * R(y,z,u). (x \ y) * R((x \ y) \ y,z,u) = R(x,z,u) * (x \ y). ((x / y) \ x) * z != u | T(u / y,(x / y) \ x) = z. T(x / y,(z / y) \ z) = y \ x. (x * y) * z != (u * x) * L(y,x,u) | T(u,x * y) = z. T((x * y) / x,x * y) = L(y,x,(x * y) / x). (x * L(x \ y,z,u)) / x = L(y / x,z,u). T(L(R(x / y,y,z),u,w),y * z) = L((y * z) \ (x * z),u,w). (x * R(x \ y,z,u)) / x = R(y / x,z,u). T(x / (y * x),y) = R(y \ 1,y,x). T((x * y) / (z * y),z) = R(z \ x,z,y). T(x / (y * z),y) = R(y \ (x / z),y,z). R(x \ (y / z),x,z) = T(y / (x * z),x). T(x / y,y / x) = R((y / x) \ 1,y / x,x). R((x / y) \ 1,x / y,y) = T(y / x,x / y). T(x * y,1 / y) = R((1 / y) \ x,1 / y,y). R((1 / x) \ y,1 / x,x) = T(y * x,1 / x). x \ y != T(z / (u * z),u) | x * R(u \ 1,u,z) = y. x * R(x \ 1,x,y) = (y / (x * y)) * x. (x / (y * x)) * y = y * R(y \ 1,y,x). x * R(x \ 1,x,y) != z | (y / (x * y)) * x = z. T(x,x \ y) * (((x \ y) \ y) \ z) = z. T(x,x \ y) != z | (x \ y) \ y = z. ((x \ y) \ y) \ z != u | T(x,x \ y) \ z = u. R(T(x,R(x,y,z) \ u),y,z) != w | (R(x,y,z) \ u) \ u = w. T(x \ y,T(x,x \ y)) != z | ((x \ y) \ y) \ y = z. x != y \ ((z \ y) * z) | K(z \ y,z) = x. K(x \ (x * y),x) = K(y,x). K(x,y) = K(z \ (z * x),y). K(x \ (x * y),z) = K(y,z). K((x / y) \ x,z) = K(y,z). (L(x,y,z) / x) / L(x,y,z) = 1 / x. x * y != T(T((1 / z) \ u,w),z) | T(u * z,w) / y = x. T(x * y,z) / y = (1 / y) * T((1 / y) \ x,z). (1 / x) * T((1 / x) \ y,z) = T(y * x,z) / x. ((x / y) * T(y,z)) / (x / y) = T(x / (x / y),z). T(x / y,z) * y != u | y * T(y \ x,z) = u. T(x / y,y) != z | y \ x = z. T(x,y) != z | y \ (x * y) = z. T(x * y,K(y,x)) != z | K(y,x) \ (y * x) = z. 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 * (y \ z)) / x = T((x * (z / y)) / x,y). T((x * (y / z)) / x,z) = (x * (z \ y)) / x. T((x * y) / x,z) * x != u | x * T(y,z) = u. (x * (y * z)) \ ((x * y) * z) != u | a(x,y,z) = u. x * T(L(y,z \ x,z),u) = z * ((z \ x) * T(y,u)). x * L(L(y,z,x / z),u,w) = (x / z) * (z * L(y,u,w)). x \ ((x / y) * (z * y)) = L(T(z,y),y,x / y). L(T(x,y),y,z / y) = z \ ((z / y) * (x * y)). R(x,y / z,z) * y != u | (x * (y / z)) * z = u. (L(x,y,z) \ u) \ u != L(w,y,z) | T(x,L(x,y,z) \ u) = w. L(x,y,z) != (L(u,y,z) \ w) \ w | T(u,L(u,y,z) \ w) = x. T(x,x * y) = L(T(x,y),y,x). L(T(x,y),y,x) = T(x,x * y). x != L(T(y,z),u,w) | T(L(y,u,w),z) = x. T(L(x,y,z),y) = (z * y) \ (z * (x * y)). (x * y) \ (x * (z * y)) = T(L(z,y,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). x * T(y,y * x) = L(y,x,y) * x. (x * y) * R(L(T(x,y),y,x),z,u) = R(x,z,u) * (x * y). T(x,y) != T(z,z * y) | L(z,y,z) = x. T(x,x * y) != T(z,y) | L(x,y,x) = z. x != T(y,z * (z \ 1)) | y = x. x = T(L(x,x \ 1,x),x \ 1). T(L(x,x \ 1,x),x \ 1) = x. (x * T(y,y * x)) / x = L(y,x,y). T(x,y) != T(z,u) | T((y * z) / y,u) = x. T((x * y) / x,y * x) = L(y,x,y). T(x,y) != T(y \ z,u) | T(z / y,u) = x. T(x / y,(y \ x) * y) = L(y \ x,y,y \ x). L(T(x,x * y),z,u) = T(L(L(x,y,x),z,u),y). T(L(L(x,y,x),z,u),y) = L(T(x,x * y),z,u). R(T(x,x * y),z,u) = T(R(L(x,y,x),z,u),y). T(R(L(x,y,x),z,u),y) = R(T(x,x * y),z,u). x * L(T(y,y * x),z,u) = L(L(y,x,y),z,u) * x. x != T(y,x \ 1) | L(x,x \ 1,x) = y. T(x,y \ 1) != y | L(y,y \ 1,y) = x. T((T(x,y) * (1 / x)) / T(x,y),T(x,y) / x) = L(1 / x,T(x,y),1 / x). 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)). (x / y) * T(y \ x,z) != u | T(y \ x,z) * (x / y) = u. x != (y * z) \ (z * y) | K(z,y) = x. K(x,y) = L(x \ T(x,y),x,y). L(T(x \ T(y,z),u),x,z) = T((z * x) \ (y * z),u). T((x * y) \ (z * x),u) != L(w,y,x) | T(y \ T(z,x),u) = w. x * y != z * (u * (u \ x)) | T(z,x) = y. T(x / y,x) = L(y \ x,y,x / y). L(x \ y,x,y / x) = T(y / x,y). (x / y) \ (L(z,y,x / y) * x) = y * T(z,x). L(x \ y,x,(z * (z \ y)) / x) = T(y / x,y). x \ (y * L(z,x \ y,x)) != (x \ y) * u | z = u. L(T((x \ y) \ z,u),x \ y,x) = T(y \ (x * z),u). R(x \ (y * z),u,w) = L(R((y \ x) \ z,u,w),y \ x,y). L(R((x \ y) \ z,u,w),x \ y,x) = R(y \ (x * z),u,w). (x \ y) * z != u \ (y * z) | R(x,x \ y,z) = u. x \ (y * z) != (u \ y) * z | R(u,u \ y,z) = x. L(R(x,y,y \ z),u,w) * z = (L(x,u,w) * y) * (y \ z). R(R(x,y,y \ z),u,w) * z = (R(x,u,w) * y) * (y \ z). R(T(x / (y / z),u),y / z,z) = T((x * z) / y,u). L(T(x \ 1,x),x,1 / x) != y | x \ 1 = y. x \ 1 = (1 / x) * ((x \ 1) * x). (1 / x) * ((x \ 1) * x) = x \ 1. T(L(x,y,1 / y),y) = (1 / y) * (x * y). x * y != L(T(z,u),w,v5) | x \ T(L(z,w,v5),u) = y. (1 / x) \ T(L(y,x,1 / x),x) = y * x. (1 / x) * K(x \ 1,x) = x \ 1. x * ((x \ 1) * x) = ((x \ 1) * x) * x. ((x \ 1) * x) * x = x * ((x \ 1) * x). x * y != (1 / z) * K(z \ 1,z) | x \ (z \ 1) = y. x \ ((x \ 1) \ 1) = K((x \ 1) \ 1,x \ 1). K((x \ 1) \ 1,x \ 1) = x \ ((x \ 1) \ 1). x != y * ((y \ 1) * z) | L(z,y \ 1,y) = x. L(x,x \ 1,x) = ((x \ 1) * x) * x. ((x \ 1) * x) * x = L(x,x \ 1,x). T(x,(x \ 1) * x) = x. K(x \ 1,x) * x = L(x,x \ 1,x). T(T(x,y),y \ 1) != z | (x * y) * (y \ 1) = z. T(((x * y) * z) / (x * z),x) = R(y,x,z). R(x,y,z) = T(((y * x) * z) / (y * z),y). T(R(x \ y,x,z),x * z) = T((x * z) \ (y * z),x). T(x / (y * z),y) * (y * z) = ((y \ (x / z)) * y) * z. (x / y) * (y / x) = (y / x) * R((y / x) \ 1,y / x,x). (x / y) * R((x / y) \ 1,x / y,y) = (y / x) * (x / y). x \ (y * (z * (y \ x))) = T(L(z,y \ x,y),y \ x). T(L(x,y \ z,y),y \ z) = z \ (y * (x * (y \ z))). T((1 / x) * (x * y),x) = (1 / x) * (y * x). (1 / x) \ T((1 / x) * y,x) = (x \ y) * x. x != T((y * z) / y,u) | (y * T(z,u)) / y = x. ((x * y) * T(y,x)) / (x * y) = R(y,x,y). T(R(x,y,z),y * z) = T((y * z) \ ((y * x) * z),y). T((x * y) \ ((x * z) * y),x) = T(R(z,x,y),x * y). T(R(x,y,x),y * x) = T(x,y). R(T(x,y * x),y,x) = T(x,y). (x * y) * L(T(y,x),z,u) = L(R(y,x,y),z,u) * (x * y). L(R(x,y,x),z,u) * (y * x) = (y * x) * L(T(x,y),z,u). x != T(y,y \ z) | (y \ z) \ z = x. (x \ y) \ y = R(T(x,(x \ y) * x),x \ y,x). R(T(x,(x \ y) * x),x \ y,x) = (x \ y) \ y. T(x,y) * (y * x) = (T(x,y * x) * y) * x. (T(x,y * x) * y) * x = T(x,y) * (y * x). x / ((y \ 1) * z) != R(y,y \ 1,z) | z = x. x = ((x \ 1) * x) * T(x,x \ 1). ((x \ 1) * x) * T(x,x \ 1) = x. x / (y * z) != R(u,y,z) | (u * y) * z = x. (x * y) * x = (y * x) * T(x,y). (x * y) * T(y,x) = (y * x) * y. x * T(y,y \ z) != u | x * ((y \ z) \ z) = u. ((x \ 1) * x) * ((x \ 1) \ 1) = x. K(x \ 1,x) * T(x,x \ 1) = x. x * T(y,x / y) = (y * (x / y)) * y. (x * (y / x)) * x = y * T(x,y / x). K(x \ 1,x) * ((x \ 1) \ 1) = 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). (1 / x) \ (((1 / x) * y) * z) = (y * (z * x)) / x. x \ (y * (z * x)) = (((1 / x) * y) * z) * x. (((1 / x) * y) * z) * x = x \ (y * (z * x)). (1 / x) \ (y * (z / x)) = (((1 / x) \ y) * z) / x. (((1 / x) \ y) * z) / x = (1 / x) \ (y * (z / x)). x \ (((1 / x) \ y) * z) = (y * (z / x)) * x. (x * y) * L(L(z,y,x),u,w) != v5 | x * (y * L(z,u,w)) = v5. x * ((y * (z / x)) * x) != u | ((1 / x) \ y) * z = u. ((1 / x) \ y) * 1 = T(y,1 / x) * x. T(x,1 / y) * y = ((1 / y) \ x) * 1. x != y * 1 | y = x. (1 / x) \ y = T(y,1 / x) * x. T(x,1 / y) * y = (1 / y) \ x. T(x,y) * (y \ 1) = (1 / (y \ 1)) \ x. (1 / (x \ 1)) \ y = T(y,x) * (x \ 1). R(1 / x,y,z) * x = (1 / x) \ R(1 / x,y,z). (1 / x) \ R(1 / x,y,z) = R(1 / x,y,z) * x. x \ y = T(y,x) * (x \ 1). T(x,y) * (y \ 1) = y \ x. (x \ y) / (x \ 1) = T(y,x). T(x,y) = (y \ x) / (y \ 1). T(x,y) \ (y \ x) = y \ 1. x * y != z \ (z * u) | u / y = x. x / (y \ 1) = T(y * x,y). T(x * y,x) = y / (x \ 1). T(T(x,y),z) * (y \ 1) = y \ T(x,z). x * (L(x,y,z) \ 1) = L(x,y,z) \ x. (x \ y) * (x \ 1) = x \ (y / x). T(x,y) * (x \ 1) = x \ T(x,y). L(x,y,z) * (x \ 1) = x \ L(x,y,z). R(x,y,z) * (x \ 1) = x \ R(x,y,z). (x / y) * ((y \ x) \ 1) = (y \ x) \ (x / y). T(x \ y,z) * (x \ 1) = x \ T(y / x,z). T(x,y) * (y \ 1) != z | y \ x = z. x \ (T(x,y) \ x) = T(x,y) \ 1. x \ (L(x,y,z) \ x) = L(x,y,z) \ 1. x \ ((x * y) * x) = y / (x \ 1). x \ y != z / (u \ 1) | x * T(u * z,u) = y. x * T(y * z,y) = x * (z / (y \ 1)). T(x,y \ 1) != z | (y * x) * (y \ 1) = z. (x * ((x \ 1) * y)) * (x \ 1) = y / ((x \ 1) \ 1). x \ y != T(z * u,z) | x * (u / (z \ 1)) = y. x * (y / (x \ 1)) = (x * y) * x. x / (y \ 1) != T(z,y) | y * x = z. T(x,y) != z / (y \ 1) | y * z = x. T(T(x * y,x),x \ 1) != z | (x \ 1) \ y = z. x * (y \ 1) != z | T(y \ x,y \ 1) = z. T(x \ T(x,y),x \ 1) = x \ T(x,y). T(x,y) != T(y,z) \ 1 | (T(y,z) \ y) / y = x. x * y = (x * (y * (x \ 1))) * x. (x * (y * (x \ 1))) * x = x * y. x / (y \ 1) != z | T(y * x,y) = z. (1 / x) * (y / x) = ((1 / x) * y) * (1 / x). ((1 / x) * y) * (1 / x) = (1 / x) * (y / x). T(T(x,y),z) * (y \ 1) != u | y \ T(x,z) = u. x * (L(x,y,z) \ 1) != u | L(x,y,z) \ x = u. (x \ y) * (x \ 1) != z | x \ (y / x) = z. x * (L(T(x,y),z,u) \ 1) != w | L(T(x,y),z,u) \ x = w. L(x,y,z) * (x \ 1) != u | x \ L(x,y,z) = u. T(x \ 1,x \ T(x,y)) = x \ 1. T(x \ 1,T(x,y) * (x \ 1)) = x \ 1. R(x \ 1,T(x,y),x \ 1) = T(x \ 1,T(x,y)). T(1 / (x / y),y \ x) = (y \ x) \ ((y \ x) / (x / y)). (x \ y) \ ((x \ y) / (y / x)) = T(1 / (y / x),x \ y). (1 / (x / (x / y))) * y = ((x / y) \ x) / (x / (x / y)). ((x / y) \ x) / (x / (x / y)) = (1 / (x / (x / y))) * y. T(x * T(x \ 1,y),x) = x * T(x \ 1,y). x != y * (z / (y \ 1)) | (y * z) * y = x. (x * y) * x = ((x \ 1) \ y) / (x \ 1). ((x \ 1) \ y) / (x \ 1) = (x * y) * x. T(x * ((x \ 1) \ y),x) = (x * y) * x. ((x * y) * x) * (x \ 1) = (x \ 1) \ y. (1 / x) \ (x * y) = x * ((x \ 1) \ y). T(x * T(y,x \ 1),x) = (x * (y * (x \ 1))) * x. (x \ 1) \ y != z * (x \ 1) | (x * y) * x = z. (x * y) * z != x | L(y \ 1,y,x) = z. K(x \ 1,x) * y != (x \ 1) * (x * z) | L(z,x,x \ 1) = y. (x * y) \ (y * (T(x,y) * z)) != u | L(z,T(x,y),y) = u. (x * (y * z)) \ (x * (y * (z * u))) != w | L(L(u,z,y),y * z,x) = w. (x * (y * (z * u))) \ (x * ((y * z) * u)) != w | L(a(y,z,u),y * (z * u),x) = w. L(x,x \ 1,x) != y | x * K(x \ 1,x) = y. ((x * y) * T(z,y)) / (z * y) != u | R(x,y,T(z,y)) = u. (x * L(y,z,u)) / x = L((x * y) / x,z,u). L((x * y) / x,z,u) = (x * L(y,z,u)) / x. (x * (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). (x * R(y,z,u)) / x = R((x * y) / x,z,u). R((x * y) / x,z,u) = (x * R(y,z,u)) / x. L(x / y,z,u) * y != w | y * L(y \ x,z,u) = w. (x * ((y * x) \ z)) / x = L((y \ z) / x,x,y). L((x \ y) / z,z,x) = (z * ((x * z) \ y)) / z. ((x \ y) * (y \ x)) / (x \ y) = L(1 / (x \ y),x \ y,x). R(x / y,z,u) * y != w | y * R(y \ x,z,u) = w. x * ((y * (x \ z)) / y) = ((y * (z / x)) / y) * x. ((x * (y / z)) / x) * z = z * ((x * (z \ y)) / x). (x * ((y * (x \ z)) / y)) / x = (y * (z / x)) / y. (1 / x) \ T(y,x) = (x \ ((1 / x) \ y)) * x. (x \ ((1 / x) \ y)) * x = (1 / x) \ T(y,x). T(T(x,y * x) * y,x) = x \ (T(x,y) * (y * x)). (x \ (y * (z * x))) / x = ((1 / x) * y) * z. (x \ (y * (z * x))) / x != u | ((1 / x) * y) * z = u. (x \ 1) \ ((x \ y) * z) = (y * (z / (x \ 1))) * (x \ 1). (x * (y / (z \ 1))) * (z \ 1) = (z \ 1) \ ((z \ x) * y). (1 / x) * ((x \ y) \ y) != z | T(x,x \ y) / x = z. T(x,x \ 1) / x = (x \ 1) \ (1 / x). (x \ 1) \ (1 / x) = T(x,x \ 1) / x. ((x * y) / x) * (y \ 1) = (x \ (x * y)) \ ((x * y) / x). (x \ (x * y)) \ ((x * y) / x) = ((x * y) / x) * (y \ 1). (x \ 1) * T(x \ 1,y) = x \ T(1 / x,y). x != (1 / y) * (z / y) | (y \ z) / y = x. (x \ y) / x = ((1 / x) * y) * (1 / x). ((1 / x) * y) * (1 / x) = (x \ y) / x. T(x,x * T(x \ 1,y)) = x. 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) / x,z,u) * x != w | x * L(y,z,u) = w. L((x * (y \ 1)) / x,y,z / y) = (x * (z \ (z / y))) / x. L((x * ((y \ z) \ u)) / x,y \ z,y) = (x * (z \ (y * u))) / x. (x * y) * ((z * L(u,y,x)) / z) != w | x * (y * ((z * u) / z)) = w. R((x * (1 / y)) / x,y,z) = (x * (z / (y * z))) / x. ((x * R(y,z,u)) / x) * (z * u) = (((x * y) / x) * z) * u. R((x * (y / (1 / z))) / x,1 / z,z) = (x * (y * z)) / x. ((x * R(y,z,u)) / x) * (z * u) != w | (((x * y) / x) * z) * u = w. (1 / x) * ((y * (z * x)) / x) = ((1 / x) * y) * z. x * y != (z \ (u * (w * z))) / z | x \ (((1 / z) * u) * w) = y. x \ (((1 / (x \ 1)) * y) * z) = (y * (z * (x \ 1))) / (x \ 1). (x * (y * (z \ 1))) / (z \ 1) = z \ (((1 / (z \ 1)) * x) * y). (x \ (y * z)) / x = ((1 / x) * y) * (z / x). ((1 / x) * y) * (z / x) = (x \ (y * z)) / x. ((1 / x) * y) * z != u / x | x \ (y * (z * x)) = u. x / y != ((1 / y) * z) * u | y \ (z * (u * y)) = x. (((1 / x) * y) * z) * x != u | x \ (y * (z * x)) = u. x != (y \ z) / y | (1 / y) * (z / y) = x. (1 / x) * ((y * z) / x) = ((1 / x) * y) * (z / x). ((1 / x) * y) * (z / x) = (1 / x) * ((y * z) / x). ((1 / x) * y) \ ((x \ (y * z)) / x) = z / x. ((1 / x) * y) \ ((x \ z) / x) = (y \ z) / x. ((1 / x) * y) \ (z / x) = (y \ (x * z)) / x. (x * y) \ (y * T(x,y / x)) = a(x,y / x,x). (x * y) * L(L(z,T(x,y),y),u,w) = y * (T(x,y) * L(z,u,w)). 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)). R(x / (y * x),z,u) != R(w,y,x) | R(1 / y,z,u) = w. R(x / (y * x),z,u) * (y * x) = (R(1 / y,z,u) * y) * x. (x * y) * T((x * y) \ (x * z),u) = x * (y * T(y \ z,u)). (x * y) * T((x * y) \ z,u) = x * (y * T(y \ (x \ z),u)). (x * y) * T(T(x,x * y),z) = x * (y * T(T(x,y),z)). T((x * y) \ (y * z),u) = L(T(T(x,y) \ z,u),T(x,y),y). L(T(T(x,y) \ z,u),T(x,y),y) = T((x * y) \ (y * z),u). (x * y) * T((x * y) \ (x * z),u) != w | x * (y * T(y \ z,u)) = w. T(R(x,y,T(z,y)),u) * (z * y) = (T(x,u) * y) * T(z,y). T((x * y) / (z * y),u) * (z * y) = (T(x / z,u) * z) * y. (x * y) * z != (u * y) * T(x,y) | T(R(u,y,T(x,y)),x * y) = z. T(R(x,y,T(x,y)),x * y) = T(x,y). (x * y) * T(T(x,y),z) = T(R(x,y,T(x,y)),z) * (x * y). T(R(x,y,T(x,y)),z) * (x * y) = (x * y) * T(T(x,y),z). ((x / y) * y) / z != u * w | (x / z) / w = u. (x * (x \ y)) * z != u * w | u \ (y * z) = w. x * (y \ (y * z)) != u * w | (x * z) / w = u. T((x \ y) / y,z) * y = (T(1 / x,z) * x) * (x \ y). T(x / y,z) * y = (T(1 / (y / x),z) * (y / x)) * x. (T(1 / (x / y),z) * (x / y)) * y = T(y / x,z) * x. x * (y \ (y * z)) != u * w | u \ (x * z) = w. x * y != R(L(z,u,w),1 / z,z) | L(T(z,1 / z),u,w) / y = x. L(T(x,1 / x),y,z) / x = L(x,y,z) * (1 / x). x * y != L(T((z \ 1) \ u,w),z \ 1,z) | x \ T(z * u,w) = y. x \ T(x * y,z) = (x \ 1) * T((x \ 1) \ y,z). (x \ 1) * T((x \ 1) \ y,z) = x \ T(x * y,z). (x * (x \ y)) * z != u * w | (y * z) / w = u. x != y * z | y \ (u / (x \ u)) = z. x * y != z | x \ (u / (z \ u)) = y. x \ (L(y,z,x) * (x * z)) != z * u | T(y,x * z) = u. (x * y) \ ((z * x) * y) != u | R(T(z,x * y),x,y) = u. R(L(x,y,(y * x) / y),y,x) = x. L(x,y,(y * x) / y) * y = y * T(x,y * x). x != R(y,z,x) | L(x,z,(z * x) / z) = y. R(x,y,z) != z | L(z,y,(y * z) / y) = x. x \ ((L(x,y,(y * x) / y) * y) * x) = y * x. T(x,y) * (x \ z) != u | (x \ z) * T((x \ z) \ z,y) = u. L(T(x \ 1,y),x,z / x) != u | T(z \ (z / x),y) = u. T(x \ (x / y),y) = x \ ((x / y) * ((y \ 1) * y)). x \ ((x / y) * ((y \ 1) * y)) = T(x \ (x / y),y). x \ y != L(T(z \ 1,u),z,w / z) | x * T(w \ (w / z),u) = y. x * T(x \ (x / y),y) = (x / y) * ((y \ 1) * y). (x / y) * ((y \ 1) * y) = x * T(x \ (x / y),y). T(1 / x,K(x \ 1,x)) = L(x \ 1,x,x \ 1). x != R(T(y,z),u,w) | T(R(y,u,w),z) = x. T(R(x,y,z),x * u) = T(R(L(x,u,x),y,z),u). T(R(L(x,y,x),z,u),y) = T(R(x,z,u),x * y). R(T(x,x * y),z,u) != T(w,y) | R(L(x,y,x),z,u) = w. T(x,y) != R(T(z,z * y),u,w) | R(L(z,y,z),u,w) = x. (x / y) \ ((x \ (x / y)) * x) = y * T(y \ 1,x). R(x,x \ 1,x) = (x \ 1) \ 1. R(x,x \ 1,x) != y | x / K(x \ 1,x) = y. x / K(x \ 1,x) = (x \ 1) \ 1. ((x \ 1) \ 1) \ x = K(x \ 1,x). L((x \ (y * (x * z))) / z,z,x) = (z * T(y,x * z)) / z. L((x \ y) / z,z,x) != u / z | z * ((x * z) \ y) = u. T(L(x,y,(y * x) / y) * y,x) = y * x. T(x * T(y,x * y),y) = x * y. (1 / x) \ y = y * T(x,y * x). x * T(y,x * y) = (1 / y) \ x. x != y * T(z,y) | z * y = x. x * y = T(y * T(T(x,y),y * T(x,y)),T(x,y)). T(x * T(T(y,x),x * T(y,x)),T(y,x)) = y * x. x \ ((1 / y) \ x) = T(y,x * y). T(x,y * x) = y \ ((1 / x) \ y). x * y != (1 / z) \ u | x \ ((z * (u * z)) / z) = y. x \ ((y * (x * y)) / y) = T(y,x * y). T(x,y) != T(R(z,y,T(z,y)),z * y) | z = x. x = R(L(x,y,x),y,T(x,y)). R(L(x,y,x),y,T(x,y)) = x. R(L(x,y,z),u,w) != v5 | L(R(x,u,w),y,z) = v5. L(R(x,y,T(x,y)),y,x) = x. x \ T(y * x,y) = R(y,x,T(y,x)). x != L(y,z,x) | R(x,z,T(x,z)) = y. L(x,y,z) != z | R(z,y,T(z,y)) = x. x * R(y,x,T(y,x)) = T(y * x,y). x * R(y / x,x,T(y / x,x)) = T(y,y / x). x * R(y / x,x,x \ y) = T(y,y / x). x * ((y * (x \ y)) / y) = T(y,y / x). x \ T(y,y / x) = (y * (x \ y)) / y. (x / y) * ((x * y) / x) = T(x,x / (x / y)). (x * y) * ((x * L(y \ 1,y,x)) / x) = T(x,x / (x * y)). (x * y) * L((x \ y) / y,y,x) = T(y,y / (x * y)). T(x \ T(y,y / x),y) = x \ y. T((x \ y) \ T(y,x),y) = (x \ y) \ y. x \ y != R(z \ 1,u,w) / (z \ 1) | x * (z * R(z \ 1,u,w)) = y. x * (x * R(x \ 1,y,z)) = (x * R(x \ 1,y,z)) * x. (x * R(x \ 1,y,z)) * x = x * (x * R(x \ 1,y,z)). ((x * y) / x) * (z * x) = x * (((y / x) * z) * x). (1 / x) * T((1 / x) \ 1,y) = T(x,y) / x. T(1 / (1 / x),y) * (1 / x) = T(x,y) / x. T(1 / x,T(x,y) / x) = 1 / x. (x * (1 / y)) / x = T((x * (1 / y)) / x,T(y,z) / y). T((x * (1 / y)) / x,T(y,z) / y) = (x * (1 / y)) / x. ((x / y) * ((y \ z) \ z)) / (x / y) = T(x / (x / y),y \ z). (x * (y * z)) \ ((x * z) * T(y,z)) != u | a(x,z,T(y,z)) = u. (x * (y * z)) / z != (1 / z) \ u | ((1 / z) * x) * y = u. (1 / x) \ y != (z * (u * x)) / x | ((1 / x) * z) * u = y. x \ y != (1 / z) * ((u * (w * z)) / z) | x * (((1 / z) * u) * w) = y. x != R(y / z,u,w) * z | z * R(z \ y,u,w) = x. x * R(x \ 1,y,z) = (1 / x) \ R(1 / x,y,z). (1 / x) \ R(1 / x,y,z) = x * R(x \ 1,y,z). x \ y != R(1 / z,z,u) * w | x * ((u / (z * u)) * w) = y. (1 / x) * ((y / (x * y)) * x) = R(1 / x,x,y). x != (y * (z * (y \ 1))) * y | y * z = x. x * y = T(x * T(y,x \ 1),x). T(x * T(y,x \ 1),x) = x * y. x * y != T(z,x) | x * T(y,x \ 1) = z. T(x,y) != y * z | y * T(z,y \ 1) = x. T(x * L(x \ 1,y,z),x) = x * L(x \ 1,y,z). x * y != z * ((u * (z \ u)) / u) | T(u,u / z) / y = x. T(x,x / y) / y = (x * (x / y)) / x. T(T(x,x / y) / y,x) = x / y. x != y / (z \ y) | z = x. x = T(T(y,y / (x \ y)) / (x \ y),y). T(T(x,x / (y \ x)) / (y \ x),x) = y. T(T(x,y) / (y \ x),x) = y. (x * y) / x = T(x,y) / (y \ x). T(x,y) / (y \ x) = (x * y) / x. T(T(R(x,y,y \ 1),x * y) / (y \ 1),R(x,y,y \ 1)) = x * y. ((x * y) / x) * (y \ x) = T(x,y). T(x,y) = ((x * y) / x) * (y \ x). T(x,R(1 / y,y,x)) = ((x * R(1 / y,y,x)) / x) * (y * x). ((x * R(1 / y,y,x)) / x) * (y * x) = T(x,R(1 / y,y,x)). T(x,R(y,y \ 1,x)) = ((x * R(y,y \ 1,x)) / x) * ((y \ 1) * x). ((x * R(y,y \ 1,x)) / x) * ((y \ 1) * x) = T(x,R(y,y \ 1,x)). ((x * (y / z)) / x) * z != u | z * ((x * (z \ y)) / x) = u. ((1 / x) * y) * z != (1 / x) * u | (y * (z * x)) / x = u. (1 / x) * y != ((1 / x) * z) * u | (z * (u * x)) / x = y. ((1 / x) * y) * (z / x) != (1 / x) * u | (y * z) / x = u. (1 / x) * y != ((1 / x) * z) * (u / x) | (z * u) / x = y. (x \ 1) * T((x \ 1) \ 1,y) = x \ T(x,y). (x \ 1) * T((x \ 1) \ (x \ y),z) = x \ T(y,z). x \ ((x / (1 / y)) * K(y,1 / y)) = T(x \ (x / (1 / y)),1 / y). (x / y) * K(y \ 1,y) = x * T(x \ (x / y),y). K(x \ (x / y),x) = y * 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 != (1 / y) * T((1 / y) \ 1,z) | T(y,z) / y = x. T(x,y) / x = K(y \ (y / (1 / x)),y). K(x \ (x / (1 / y)),x) = T(y,x) / y. x * y != z * T(z \ 1,u) | K(u \ (u / z),u) / y = x. K(x \ (x / y),x) / y = T(1 / y,x). K(x \ (x / (1 / y)),x) * y = T(y,x). T(x,y) = K(y \ (y / (1 / x)),y) * x. K(x \ (x / (1 / (y / (x * y)))),x) = R(x \ 1,x,y) / (y / (x * y)). K((x * y) \ x,x * y) / y = T(1 / y,x * y). T(x * T(T(y,x),y * x),T(y,x)) = y * x. T(T(x,x * y) * y,T(x,y)) = x * y. T(x,x * L(x \ 1,y,z)) = x. T(x \ y,(x \ y) * (y \ x)) = x \ y. T(x,x * (y \ (y / x))) = x. (L(x \ 1,y,z) * x) / L(x \ 1,y,z) = L(x,L(x \ 1,y,z),x). ((x \ (x / y)) * y) / (x \ (x / y)) = L(y,x \ (x / y),y). ((x \ y) * (y \ x)) / (x \ y) = L(y \ x,x \ y,y \ x). (x * y) * L((x * y) \ x,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(T(x,x * y),z,u) = x * (y * L(T(x,y),z,u)). (x * y) * R((x * y) \ z,u,w) = x * (y * R(y \ (x \ z),u,w)). L(R(x,x,y),z,u) * (x * y) = (x * L(x,z,u)) * y. L((x * y) / (z * y),u,w) * (z * y) = (L(x / z,u,w) * z) * y. L(x / (y * z),u,w) * (y * z) = (L((x / z) / y,u,w) * y) * z. (L((x / y) / z,u,w) * z) * y = L(x / (z * y),u,w) * (z * y). (R(x,y,z) * ((y * z) / u)) * u = (R(x,(y * z) / u,u) * y) * z. (R(x,(y * z) / u,u) * y) * z = (R(x,y,z) * ((y * z) / u)) * u. R((x * y) / (z * y),u,w) * (z * y) = (R(x / z,u,w) * z) * y. x \ R(x * y,z,u) = (x \ 1) * R((x \ 1) \ y,z,u). (x \ 1) * R((x \ 1) \ y,z,u) = x \ R(x * y,z,u). (1 / x) \ L(1 / x,y,z) = x * L(x \ 1,y,z). (1 / x) \ L(x \ 1,y,z) = x * L(T(x \ 1,x),y,z). R(x * y,z,u) / y = R(x / (1 / y),z,u) * (1 / y). R(x / (1 / y),z,u) * (1 / y) = R(x * y,z,u) / y. x * y != L(L((z \ 1) \ u,w,v5),z \ 1,z) | x \ L(z * u,w,v5) = y. x \ L(x * y,z,u) = (x \ 1) * L((x \ 1) \ y,z,u). (x \ 1) * L((x \ 1) \ y,z,u) = x \ L(x * y,z,u). x * T(x \ y,z) = y * ((y \ x) * T((y \ x) \ 1,z)). x * ((x \ y) * T((x \ y) \ 1,z)) = y * T(y \ x,z). x * T(x \ (y * z),u) = y * ((y \ x) * T((y \ x) \ z,u)). x * ((x \ y) * T((x \ y) \ z,u)) = y * T(y \ (x * z),u). L(x \ T(x,y),x,y) = T((y * x) \ (x * y),x \ 1). T((x * y) \ (y * x),y \ 1) = L(y \ T(y,x),y,x). x \ (y * T(y \ (x * z),u)) = (x \ y) * T((x \ y) \ z,u). T((x * y) / z,u) * z = (T(x / (z / y),u) * (z / y)) * y. (T(x / (y / z),u) * (y / z)) * z = T((x * z) / y,u) * y. R(T(x,y * z),y,z) = T((y * z) \ ((y * x) * z),y). T((x * y) \ ((x * z) * y),x) = R(T(z,x * y),x,y). ((x * (y / (z * y))) / x) * (z * y) = (((x * (1 / z)) / x) * z) * y. ((x * ((y \ z) / (y * (y \ z)))) / x) * z = (((x * (1 / y)) / x) * y) * (y \ z). T(x,y) * y != z | y \ (x * (y * y)) = z. x * y != (z * u) * L((z \ u) / u,u,z) | x \ T(u,u / (z * u)) = y. x \ T(y,y / (x * y)) = y * ((x \ y) / y). x \ T(y,R(1 / x,x,y)) = y * ((x \ y) / y). x \ T(x,R(1 / x,x,x)) = x * (1 / x). x != L(y \ T(y,z),y,z) | K(y,z) = x. K(x,y) = T((y * x) \ (x * y),x \ 1). K(x,y) = T(K(x,y),x \ 1). T(K(x,y),x \ 1) = K(x,y). T(x \ 1,K(x,y)) = x \ 1. x \ y != z \ 1 | x * T(z \ 1,K(z,u)) = y. x * T(x \ 1,K(x,y)) = 1. T(x \ 1,K(y,x)) = x \ 1. K(x,y) * (x \ 1) != z | (x \ 1) * K(x,y) = z. x * y != z * T(z \ 1,K(z,u)) | 1 / y = x. 1 / x = T(1 / x,K(x,y)). T(1 / x,K(x,y)) = 1 / x. T(K(x,y),y \ 1) = K(x,y). T(1 / x,K(y,x)) = 1 / x. R(1 / (x / y),x / y,y) = T(y / x,K(x / y,z)). T(x / y,K(y / x,z)) = R(1 / (y / x),y / x,x). T(K(x,1 / y),y) = K(x,1 / y). T(1 / x,K(x \ 1,x)) != y | L(x \ 1,x,x \ 1) = y. L(x \ 1,x,x \ 1) = 1 / x. x \ y != L(z \ 1,z,z \ 1) | x * (1 / z) = y. ((x \ 1) * x) * (1 / x) = x \ 1. (x \ 1) / (1 / x) = (x \ 1) * x. x * y != T(K(z,1 / u),u) | K(z,1 / u) / y = x. K(x,1 / y) / y = (1 / y) * K(x,1 / y). (1 / x) * K(y,1 / x) = K(y,1 / x) / x. K(x \ 1,x) * (1 / x) = x \ 1. (x \ y) * z != (x \ y) / (y / x) | T(1 / (y / x),x \ y) = z. T(1 / (1 / x),x \ 1) = x. L(x,x \ 1,x) = 1 / (1 / x). T(x,y) = T(T(1 / (1 / x),y),x \ 1). T(T(1 / (1 / x),y),x \ 1) = T(x,y). T(1 / x,(x \ 1) \ 1) = x \ 1. T(1 / (1 / (1 / x)),x) = 1 / x. x * (1 / x) = T(x,x \ 1) / x. T(x,x \ 1) / x = x * (1 / x). x * K(x \ 1,x) = 1 / (1 / x). L(x,x \ 1,x) != y | K(x \ 1,x) * x = y. K(x \ 1,x) * x = 1 / (1 / x). x * y != L(z,z \ 1,z) | (1 / (1 / z)) / y = x. (1 / (1 / x)) / x = K(x \ 1,x). x * y != L(z,z \ 1,z) | x \ (1 / (1 / z)) = y. x \ (1 / (1 / x)) = K(x \ 1,x). L(x \ 1,(x \ 1) \ 1,x \ 1) = 1 / x. T(x,y) != 1 / (1 / T(z,y)) | L(z,T(z,y) \ 1,T(z,y)) = x. (x \ 1) * L(y,1 / x,K(x \ 1,x)) = K(x \ 1,x) * ((1 / x) * y). L((1 / x) \ y,1 / x,K(x \ 1,x)) = (x \ 1) \ (K(x \ 1,x) * y). ((x \ 1) \ 1) * R(x \ 1,y,z) = R(1 / x,y,z) * ((x \ 1) \ 1). R(1 / x,y,z) * ((x \ 1) \ 1) = ((x \ 1) \ 1) * R(x \ 1,y,z). x \ y != T(1 / (1 / (1 / z)),z) | x * (1 / z) = y. x * (1 / x) = (1 / (1 / (1 / x))) * x. (1 / (1 / (1 / x))) * x = x * (1 / x). T(x,x \ 1) / x != y | (x \ 1) \ (1 / x) = y. (x \ 1) \ (1 / x) = x * (1 / x). (1 / x) * y != T(x,x \ 1) / x | T(x,1 / x) = y. T(x,1 / x) = (x \ 1) \ 1. x \ y != T(z,z \ 1) / z | x * (z * (1 / z)) = y. (x \ 1) * (x * (1 / x)) = 1 / x. T(1 / x,1 / (1 / x)) = x \ 1. ((1 / (1 / x)) * y) / (K(x \ 1,x) * y) != z | R(x,K(x \ 1,x),y) = z. (x * K(y \ 1,y)) \ (x * (1 / (1 / y))) != z | L(y,K(y \ 1,y),x) = z. (1 / (1 / x)) / x != y | (1 / x) * (1 / (1 / x)) = y. (1 / x) * (1 / (1 / x)) = K(x \ 1,x). R(1 / x,x,1 / x) = x \ 1. R(x \ 1,x,y) = R(y / (x * y),x,1 / x). R(x / (y * x),y,1 / y) = R(y \ 1,y,x). x \ y != (z \ 1) * (z * (1 / z)) | x * (1 / z) = y. R(x,y \ 1,y * (1 / y)) * (1 / y) = (x * (y \ 1)) * (y * (1 / y)). (1 / (1 / x)) * L(x \ 1,y,z) = L(1 / x,y,z) * (1 / (1 / x)). L(1 / x,y,z) * (1 / (1 / x)) = (1 / (1 / x)) * L(x \ 1,y,z). L(x \ 1,y,z) / (1 / x) = L(1 / x,y,z) * (1 / (1 / x)). L(1 / x,y,z) * (1 / (1 / x)) = L(x \ 1,y,z) / (1 / x). (x \ 1) \ R(1 / x,y,z) = ((x \ 1) \ 1) * R(x \ 1,y,z). ((x \ 1) \ 1) * R(x \ 1,y,z) = (x \ 1) \ R(1 / x,y,z). R(x \ 1,x,y) * (x * (1 / x)) = ((y / (x * y)) * x) * (1 / x). x != R(1 / (y / z),y / z,z) | z / y = x. x / y = T(x / y,K(y / x,z)). T(x / y,K(y / x,z)) = x / y. T(x / y,y) = T(y \ x,K(y / x,z)). T(x \ y,K(x / y,z)) = T(y / x,x). x != T(y / z,z) | z \ y = x. x \ y = T(x \ y,K(x / y,z)). T(x \ y,K(x / y,z)) = x \ y. x != L(y,z,u) * (y \ 1) | y \ L(y,z,u) = x. x \ L(x,y,z) = (x \ 1) * L((x \ 1) \ 1,y,z). (x \ 1) * L((x \ 1) \ 1,y,z) = x \ L(x,y,z). (x \ 1) * L((x \ 1) \ 1,y,z) != u | x \ L(x,y,z) = u. 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 * y) * T((x * y) \ z,x) = ((x \ (z / y)) * x) * y. ((x \ (y / z)) * x) * z != u | (x * z) * T((x * z) \ y,x) = u. K(T(1 / (1 / x),x \ 1),x \ 1) = T(x,x \ 1) / x. x / (y / (y / x)) = (1 / (y / (y / x))) * x. (1 / (x / (x / y))) * y = y / (x / (x / y)). (1 / (1 / (1 / x))) * x != y | x * (1 / x) = y. x * (1 / x) = x / (1 / (1 / x)). x / (1 / (1 / x)) = x * (1 / x). L(x,1 / x,x) = 1 / (1 / x). (x * (1 / x)) * (1 / (1 / x)) = x. (x * T(y,z)) * (z \ 1) = (z \ 1) \ ((z \ x) * (z \ y)). (x \ 1) \ ((x \ y) * (x \ z)) = (y * T(z,x)) * (x \ 1). x \ ((y * x) / y) = ((y * x) / y) * (x \ 1). ((x * y) / x) * (y \ 1) = y \ ((x * y) / x). ((x * y) / x) * z != u | z * ((x * T(y,z)) / x) = u. (x \ 1) * ((y * T(x,x \ 1)) / y) = x \ ((y * x) / y). T(x,y) * (x * z) = x * (z * T(T(x,z),y)). x * (y * T(T(x,y),z)) = T(x,z) * (x * y). x * (T(x,y) * z) = T(x,y) * (x * z). T(x,y) * (x * z) = x * (T(x,y) * z). x \ (T(x,y) * z) = T(x,y) * (x \ z). x * y != z * (u * (u \ w)) | T(x,y) = y \ (z * w). T(T(x,y),x * (T(x,y) \ z)) = (x * (T(x,y) \ z)) \ (x * z). T(x,y) * z = x * (T(x,y) * (x \ z)). x * (T(x,y) * (x \ z)) = T(x,y) * z. x != y * (z * (z \ u)) | y * u = x. x * y = T(x,z) * (x * (T(x,z) \ y)). T(x,y) * (x * (T(x,y) \ z)) = x * z. x * y != z * (u * (u \ (z \ w))) | x \ w = y. T(x,y) \ z = x * (T(x,y) \ (x \ z)). x * (T(x,y) \ (x \ z)) = T(x,y) \ z. x * y != T(z,u) * (z * w) | x \ (z * (T(z,u) * w)) = y. (T(x,y) * x) \ (x * (T(x,y) * z)) = L(z,x,T(x,y)). T(x / y,z) * x = (x / y) * (T(x / y,z) * y). (x / y) * (T(x / y,z) * y) = T(x / y,z) * x. T(x,y) * (z * x) = x * (T(x,y) * T(z,x)). x * (T(x,y) * T(z,x)) = T(x,y) * (z * x). (x \ y) * ((y / x) * z) = (y / x) * (T(y / x,x) * z). (x / y) * (T(x / y,y) * z) = (y \ x) * ((x / y) * z). (T(x,y) * z) \ (x * (T(x,y) * z)) = L(T(x,z),z,T(x,y)). x \ (T(x,y) * (x / z)) = T(x,y) * L(z \ 1,z,x / z). x \ y = T(x,x \ z) * (x \ (((x \ z) \ z) \ y)). T(x,x \ y) * (x \ (((x \ y) \ y) \ z)) = x \ z. T(x,y) * z != x * u | T(x,y) * (x \ z) = u. x \ (T(x,y) * z) != u | T(x,y) * (x \ z) = u. x * y != T(x,z) * u | x * (T(x,z) \ y) = u. T(x,y) * z != x * u | x * (T(x,y) \ u) = z. x \ (T(x,y) \ z) = T(x,y) \ (x \ z). T(x,y) \ (x \ z) = x \ (T(x,y) \ z). T(x / y,z) \ y = (x / y) \ (T(x / y,z) \ x). (x / y) \ (T(x / y,z) \ x) = T(x / y,z) \ y. x * y != z * ((z \ x) * u) | L(u,z \ x,z) = y. L(x,T(x,y) \ x,T(x,y)) = T(x,y) * T(T(x,y) \ x,x). T(x,y) * T(T(x,y) \ x,x) = L(x,T(x,y) \ x,T(x,y)). x \ (T(x,y) * (z * x)) != u | T(x,y) * T(z,x) = u. x * K(x \ (x / T(x,y)),x) = T(x,y) * ((T(x,y) \ 1) * x). T(x,y) * ((T(x,y) \ 1) * x) = x * K(x \ (x / T(x,y)),x). (x / y) * (y * T(y \ x,z)) = T(x / y,z) * x. (x * T(x,y)) \ (x * (T(x,y) * z)) = L(z,x,T(x,y)). L(x,T(x,y) \ x,T(x,y)) != z | T(x,y) * T(T(x,y) \ x,x) = z. T(T(x,y * x) * y,x) != z | T(x,y) * T(y,x) = z. L(x,y,T(y,z)) != u | L(x,T(y,z),y) = u. T((x \ y) / y,z) * y = (x * T(x \ 1,z)) * (x \ y). x != T(y / z,u) * z | z * T(z \ y,u) = 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). T(x,x * R(x \ 1,y,z)) = x. x != y * L(T(z,y),u,w) | L(z,u,w) * y = x. L(x \ 1,y,z) * x = (1 / x) \ L(x \ 1,y,z). (1 / x) \ L(x \ 1,y,z) = L(x \ 1,y,z) * x. (1 / (x \ y)) \ (y \ x) = L((x \ y) \ 1,x \ y,x) * (x \ y). L((x \ y) \ 1,x \ y,x) * (x \ y) = (1 / (x \ y)) \ (y \ x). (1 / x) * R((1 / x) \ y,z,u) = R(y * x,z,u) / x. x \ (y * T(y \ x,z)) = (x \ y) * T((x \ y) \ 1,z). (x \ y) * T((x \ y) \ 1,z) = x \ (y * T(y \ x,z)). x * y != z * T(u,z) | x \ (u * z) = y. x \ ((y \ x) * y) = (x \ y) * T((x \ y) \ 1,y). (x \ y) * T((x \ y) \ 1,y) = x \ ((y \ x) * y). x * K((x \ y) \ 1,x \ y) = y * T(y \ x,x \ y). x * T(x \ y,y \ x) = y * K((y \ x) \ 1,y \ x). x * K(y \ (y / (x \ z)),y) = z * T(z \ x,y). x * T(x \ y,z) = y * K(z \ (z / (y \ x)),z). x != (y * z) \ ((y \ (y * z)) * y) | K(z,y) = x. K(x,y) = ((y * x) \ y) * T(((y * x) \ y) \ 1,y). x * y != z * K(u \ (u / (z \ w)),u) | x \ (w * T(w \ z,u)) = y. x \ (y * T(y \ x,z)) = K(z \ (z / (x \ y)),z). K(x \ (x / (y \ z)),x) = y \ (z * T(z \ y,x)). (x \ 1) * T((x \ 1) \ (x \ y),z) != u | x \ T(y,z) = u. x \ T(y,z) = (x \ y) * K(z \ (z / ((x \ y) \ (x \ 1))),z). (x \ y) * K(z \ (z / ((x \ y) \ (x \ 1))),z) = x \ T(y,z). (x * (y * z)) * T((x * (y * z)) \ (x * y),u) = (x * y) * K(u \ (u / L(z,y,x)),u). K((x * (y \ z)) \ x,x * (y \ z)) = y \ (z * T(z \ y,x * (y \ z))). K(x \ (x / T(y,z)),x) = z \ ((y * z) * T((y * z) \ z,x)). K(x \ (x / (y \ (y / z))),x) = y \ ((y / z) * T(z,x)). K(x,x \ 1) = T(x,x \ 1) / x. T(x,x \ 1) / x = K(x,x \ 1). K(x,x \ 1) * x = T(x,x \ 1). T(x,x \ 1) / x != y | x * (1 / x) = y. x * (1 / x) = K(x,x \ 1). K(x,x \ 1) = x * (1 / x). T(x,x \ y) / z != u | ((x \ y) \ y) / z = u. ((x \ 1) \ 1) / x = K(x,x \ 1). x != y * (1 / y) | K(y,1 / y) = x. K(x,1 / x) = K(x,x \ 1). x != (1 / y) * (1 / (1 / y)) | K(y \ 1,y) = x. K(x \ 1,x) = K(1 / x,(1 / x) \ 1). K(1 / x,(1 / x) \ 1) = K(x \ 1,x). x * y != z * (1 / z) | x \ K(z,z \ 1) = y. T(x,y) \ K(x,x \ 1) = x * (T(x,y) \ (1 / x)). K(x,x \ 1) * (x \ 1) = 1 / x. K(x,x \ 1) * (1 / (1 / x)) = x. K(x,y) != z | K((u / x) \ u,y) = z. K((x / y) \ x,1 / y) = K(y,y \ 1). K(x \ 1,x) = K(x \ 1,(x \ 1) \ 1). K(x \ 1,(x \ 1) \ 1) = K(x \ 1,x). (x \ 1) \ 1 = K(x,x \ 1) * x. K(x,x \ 1) * x = (x \ 1) \ 1. T(x,x \ 1) * y != K(x,x \ 1) * (x * z) | L(z,x,K(x,x \ 1)) = y. x * L(y,1 / (1 / x),K(x,x \ 1)) = K(x,x \ 1) * ((1 / (1 / x)) * y). K(1 / x,x) = K(x \ 1,x). x != K(y \ 1,y) | ((y \ 1) \ 1) \ y = x. ((x \ 1) \ 1) \ x = K(1 / x,x). x \ y != K(z \ 1,z) | x * K(1 / z,z) = y. x * K(1 / x,x) = 1 / (1 / x). (x * y) * K(1 / y,y) != z * (1 / (1 / y)) | R(x,y,K(1 / y,y)) = z. K(x \ 1,x) != y | K(1 / x,x) = y. K(1 / (1 / x),1 / x) = K(x,x \ 1). K(1 / (1 / x),(y / (1 / x)) \ y) = K(x,x \ 1). (x \ 1) * ((y * ((x \ 1) \ 1)) / y) = x \ ((y * x) / y). (x / y) * ((y \ x) * z) = (y \ x) * ((x / y) * z). (1 / x) \ (((x \ 1) * ((1 / x) * y)) * z) = (((x \ 1) * y) * (z * x)) / x. (x \ (y \ x)) * x = (y * T(y \ 1,x)) * (y \ x). (((x / y) \ 1) * (x / y)) * y = x * T(x \ y,x / y). ((x / y) * T((x / y) \ 1,z)) * y = x * T(x \ y,z). x \ (y * K((y \ x) \ 1,y \ x)) = T(x \ y,y \ x). x * T(y,(x * y) \ x) = (x * y) * K(((x * y) \ x) \ 1,(x * y) \ x). (x * y) * K(((x * y) \ x) \ 1,(x * y) \ x) = x * T(y,(x * y) \ x). K((x / y) \ 1,x / y) * y = x * T(x \ y,x / y). (x * T(x \ y,z)) / y = (x / y) * T((x / y) \ 1,z). (x / y) * T((x / y) \ 1,z) = (x * T(x \ y,z)) / y. 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 * T(y \ (z * y),u) | T(z,u) * y = x. T(x,y / (x * y)) * y = K((y / (x * y)) \ 1,y / (x * y)) * (x * y). K((x / (y * x)) \ 1,x / (y * x)) * (y * x) = T(y,x / (y * x)) * x. x * L(x \ ((x / y) * z),u,w) = (x / y) * (y * L(y \ z,u,w)). (x / y) * (y * L(y \ z,u,w)) = x * L(x \ ((x / y) * z),u,w). (x * y) * R(L(z,y,x),u,w) != v5 | x * (y * R(z,u,w)) = v5. x * (y * R(T(x,y),z,u)) = R(x,z,u) * (x * y). x * (R(x,y,z) * u) = R(x,y,z) * (x * u). R(x,y,z) * (x * u) = x * (R(x,y,z) * u). x \ (R(x,y,z) * u) = R(x,y,z) * (x \ u). (R(x,y,z) * u) / (R(x,y,z) * (x \ u)) = x. x * y != z * (u * (u \ w)) | x \ (z * w) = y. R(x,y,z) \ (x * u) = x * (R(x,y,z) \ u). T(x,R(x,y,z) * (x \ u)) = (R(x,y,z) * (x \ u)) \ (R(x,y,z) * u). (R(x,y,z) * (x \ u)) \ (R(x,y,z) * u) = T(x,R(x,y,z) * (x \ u)). x \ ((x * y) * z) = R(x,y,z) * (x \ (y * z)). R(x,y,z) * (x \ (y * z)) = x \ ((x * y) * z). x != y \ (z * y) | T(z,y) = x. T(x * y,x) = R(x,y,x) * (x \ (y * x)). R(x,y,x) * (x \ (y * x)) = T(x * y,x). (x \ ((x * y) * z)) / (x \ (y * z)) = R(x,y,z). R(x,y,z) = (x \ ((x * y) * z)) / (x \ (y * z)). R(x,y,x) * T(y,x) = T(x * y,x). x \ T(y * z,y) != T(z,y) | R(y,z,y) = x. x \ (y * R(y \ (x * z),u,w)) = (x \ y) * R((x \ y) \ z,u,w). L((x \ y) / y,z,u) * y = (L(1 / x,z,u) * x) * (x \ y). T(x / y,(y / x) * (x / y)) = x / y. R(x / y,y / x,x / y) = T(x / y,y / x). x != T(y / z,z / y) | R((z / y) \ 1,z / y,y) = x. R((x / y) \ 1,x / y,y) = R(y / x,x / y,y / x). R(x \ 1,(x * y) / y,y) = R(y / (x * y),(x * y) / y,y / (x * y)). R(x / (y * x),(y * x) / x,x / (y * x)) = R(y \ 1,(y * x) / x,x). L(R(x,y,z),u,w) * (y * z) != v5 | (L(x,u,w) * y) * z = v5. (L(x,y,z) * u) * x = (u * x) * L(T(x,u),y,z). (x * y) * L(T(y,x),z,u) = (L(y,z,u) * x) * y. L(((x * y) * z) / (x * y),y,x) != u / (x * y) | x * (y * z) = u. ((x \ (x / y)) * y) / (x \ (x / y)) = L(1 / (x \ (x / y)),x \ (x / y),x). L(1 / (x \ (x / y)),x \ (x / y),x) = ((x \ (x / y)) * y) / (x \ (x / y)). (x * y) * ((z * ((x * y) \ x)) / z) = x * (y * ((z * (y \ 1)) / z)). (x * y) * ((z * ((x * y) \ u)) / z) = x * (y * ((z * (y \ (x \ u))) / z)). x \ y != L((z * (u \ 1)) / z,u,w / u) | x * ((z * (w \ (w / u))) / z) = y. x * ((y * (x \ (x / z))) / y) = (x / z) * (z * ((y * (z \ 1)) / y)). (x / y) * (y * ((z * (y \ 1)) / z)) = x * ((z * (x \ (x / y))) / z). ((x * (y / (z * u))) / x) * (z * u) = (((x * ((y / u) / z)) / x) * z) * u. (((x * ((y / z) / u)) / x) * u) * z = ((x * (y / (u * z))) / x) * (u * z). x * y != R((z * (u / (1 / w))) / z,1 / w,w) | ((z * (u * w)) / z) / y = x. ((x * (y * z)) / x) / z = ((x * (y / (1 / z))) / x) * (1 / z). ((x * (y / (1 / z))) / x) * (1 / z) = ((x * (y * z)) / x) / z. x \ y != L(T(T(z,u) \ w,v5),T(z,u),u) | x * T((z * u) \ (u * w),v5) = y. (x * y) * T((x * y) \ (y * z),u) = y * (T(x,y) * T(T(x,y) \ z,u)). T(R(x,y,T(z,y)),u) * (z * y) != w | (T(x,u) * y) * T(z,y) = w. (T(x,y) * z) * T(x,z) = (x * z) * T(T(x,z),y). x * y != (z * (z \ 1)) * u | u / y = x. T(T(x,x \ 1),y) / T(x,x \ 1) = T(x,y) * (x \ 1). x != T(y,z) * (y \ 1) | y \ T(y,z) = x. x \ T(x,y) = T(T(x,x \ 1),y) / T(x,x \ 1). T(T(x,x \ 1),y) / T(x,x \ 1) = x \ T(x,y). x != (y * T(z,u)) / y | T((y * z) / y,u) = x. T((x * y) / x,z * x) = L((z \ (y * (z * x))) / x,x,z). L((x \ (y * (x * z))) / z,z,x) = T((z * y) / z,x * z). x * y != (z * u) * ((z * L(u \ 1,u,z)) / z) | x \ T(z,z / (z * u)) = y. x \ T(x,x / (x * y)) = y * ((x * (y \ 1)) / x). x * ((y * (x \ 1)) / y) != y \ z | T(y,y / (y * x)) = z. x \ y != z * ((x * (z \ 1)) / x) | T(x,x / (x * z)) = y. ((x \ y) * (y \ x)) / (x \ y) != z | L(1 / (x \ y),x \ y,x) = z. L(1 / (x \ y),x \ y,x) = L(y \ x,x \ y,y \ x). L(x \ y,y \ x,x \ y) = L(1 / (y \ x),y \ x,y). x \ y != L(1 / (z \ u),z \ u,z) | x * L(u \ z,z \ u,u \ z) = y. x * L(x \ y,y \ x,x \ y) = y * ((y \ x) * (1 / (y \ x))). T(x,T(x,y) * z) = L(T(x,z),z,T(x,y)). L(T(x,y),y,T(x,z)) = T(x,T(x,z) * y). T(L(x,y,T(x,z)),y) = T(x,T(x,z) * y). (x * T(y,T(y,z) * x)) / x = L(y,x,T(y,z)). ((x * y) * z) / (u * (y * z)) != R(w,u,y * z) | R(x,y,z) / u = w. R(x,y,z * u) != ((w * z) * u) / (y * (z * u)) | R(w,z,u) / y = x. (x * (y * (z \ 1))) / (z \ 1) = z \ ((z * x) * y). (x \ ((x * y) * z)) * (x \ 1) = y * (z * (x \ 1)). x \ (((x * y) * z) / x) = y * (z * (x \ 1)). x \ y != (z \ ((z * u) * w)) * (z \ 1) | x * (u * (w * (z \ 1))) = y. x * (y * (z * (x \ 1))) = ((x * y) * z) / x. (x * (y * (z \ 1))) / (z \ 1) != u | z \ ((z * x) * y) = u. x * (y * (z \ 1)) != u | z \ (((z * x) * y) / z) = u. x \ ((y * z) / x) = (x \ y) * (z * (x \ 1)). (x \ y) * (z * (x \ 1)) = x \ ((y * z) / x). x \ (y / x) = (x \ 1) * (y * (x \ 1)). (x \ 1) * (y * (x \ 1)) = x \ (y / x). x * (y * (z * (x \ 1))) != u | ((x * y) * z) / x = u. x \ (((x * y) * z) / x) = (y * z) * (a(x,y,z) * (x \ 1)). (x \ 1) * (y * (x \ 1)) != x \ z | y / x = z. x \ y != (x \ 1) * (z * (x \ 1)) | z / x = y. x \ (((x * y) * z) / x) != u | y * (z * (x \ 1)) = u. x * (y * (x \ z)) = ((x * y) * T(z,x)) / x. ((x * y) * T(z,x)) / x = x * (y * (x \ z)). x * (y * (x \ L(x,z,u))) = ((x * y) * L(x,z,u)) / x. ((x * y) * L(x,z,u)) / x = x * (y * (x \ L(x,z,u))). (x \ y) * (z * (x \ 1)) != x \ u | (y * z) / x = u. x \ y != (x \ z) * (u * (x \ 1)) | (z * u) / x = y. (x / y) \ ((x * z) / (x / y)) != u | y * (z * ((x / y) \ 1)) = u. (x \ y) * (x \ z) = x \ ((y * T(z,x)) / x). x \ ((y * T(z,x)) / x) = (x \ y) * (x \ z). (x \ y) * (x \ T(x,z)) = x \ ((y * T(x,z)) / x). x \ ((y * T(x,z)) / x) = (x \ y) * (x \ T(x,z)). (x \ y) * (x \ L(x,z,u)) = x \ ((y * L(x,z,u)) / x). x \ ((y * L(x,z,u)) / x) = (x \ y) * (x \ L(x,z,u)). (x * (y * (x \ z))) * x = (x * y) * T(z,x). (x * T(y,z)) / z = z * ((z \ x) * (z \ y)). x * ((x \ y) * (x \ z)) = (y * T(z,x)) / x. T(x,y) / y = y * ((y \ 1) * (y \ x)). x * ((x \ 1) * (x \ y)) = T(y,x) / x. (x * (y * (x \ z))) * x != u | (x * y) * T(z,x) = u. x * y != T(z,u) / u | x \ ((1 / u) * z) = y. x \ ((1 / x) * y) = (x \ 1) * (x \ y). x \ y != z * (u \ (u * w)) | x * (z * w) = y. x * ((x \ y) * z) = (y * T(x * z,x)) / x. (x * T(y * z,y)) / y = y * ((y \ x) * z). (x * (y * z)) * x = (x * y) * T(x * z,x). (x * y) * T(x * z,x) = (x * (y * z)) * x. (x * y) * x = (x * x) * T(y,x). (x * x) * T(y,x) = (x * y) * x. (x * x) * (x \ y) = (x * (y / x)) * x. (x * (y / x)) * x = (x * x) * (x \ y). x * ((x \ y) * (x \ z)) = (y * (((1 / x) * z) * x)) / x. (x * (((1 / y) * z) * y)) / y = y * ((y \ x) * (y \ z)). (x * ((x \ y) * z)) * x = y * T(x * z,x). (x * (y / (z \ 1))) / z = z * ((z \ x) * y). (x * y) \ ((x * (y * z)) * x) = T(x * z,x). (x * (y * (x \ z))) * x = z * T(x * T(y,x \ z),x). x * T(y * T(z,y \ x),y) = (y * (z * (y \ x))) * y. x * ((x \ y) * z) != u / x | y * (z / (x \ 1)) = u. x / y != y * ((y \ z) * u) | z * (u / (y \ 1)) = x. (x * (y / z)) / (1 / z) = (1 / z) * (((1 / z) \ x) * y). (1 / x) * (((1 / x) \ y) * z) = (y * (z / x)) / (1 / x). (x * y) \ (z * x) = T(x * (y \ (x \ z)),x). T(x * (y \ (x \ z)),x) = (x * y) \ (z * x). T(x * y,x) != z | y / (x \ 1) = z. (x \ (y \ z)) / (y \ 1) = (y * x) \ (z * y). (x * (y * T(z,x))) * x != u | (x * y) * T(z * x,x) = u. x != (y * (z * (y \ u))) * y | (y * z) * T(u,y) = x. (x * y) * T(z,x) = z * T(x * T(y,x \ z),x). x * T(y * T(z,y \ x),y) = (y * z) * T(x,y). x * y != (1 / z) * (((1 / z) \ u) * w) | x \ ((u * (w / z)) / (1 / z)) = y. x \ ((x * (y / z)) / (1 / z)) = L(y,(1 / z) \ x,1 / z). (x * (y / z)) / (1 / z) != (1 / z) * u | ((1 / z) \ x) * y = u. x * (y * (z \ 1)) = (x * y) * (a(z,x,y) * (z \ 1)). (x * y) * (a(z,x,y) * (z \ 1)) = x * (y * (z \ 1)). L(x \ 1,y,z) = a(x,z,y) * (x \ 1). a(x,y,z) * (x \ 1) = L(x \ 1,z,y). x * (y \ 1) != L(y \ 1,z,u) | y * L(y \ 1,z,u) = x. x * L(x \ 1,y,z) = a(x,z,y). a(x,y,z) = x * L(x \ 1,z,y). L(x \ 1,y,z) != u * (x \ 1) | a(x,z,y) = u. x != y * L(y \ 1,z,u) | (1 / y) \ L(1 / y,z,u) = x. (1 / x) \ L(1 / x,y,z) = a(x,z,y). a(x,y,z) = (1 / x) \ L(1 / x,z,y). x != (y \ 1) * L((y \ 1) \ 1,z,u) | y \ L(y,z,u) = x. x \ L(x,y,z) = a(x \ 1,z,y). a(x \ 1,y,z) = x \ L(x,z,y). x \ y != z * L(z \ 1,u,w) | x * a(z,w,u) = y. (1 / x) * a(x,y,z) = L(1 / x,z,y). x * a(x \ 1,y,z) = L(x,z,y). L(x,y,z) = x * a(x \ 1,z,y). x * y != z * L(z \ 1,u,w) | x \ a(z,w,u) = y. x \ a(x,y,z) = L(x \ 1,z,y). L(x \ 1,y,z) = x \ a(x,z,y). T(x,a(x,y,z)) = x. a(x \ 1,y,z) != u | x \ L(x,z,y) = u. T(a(x,y,z),x) = a(x,y,z). x \ y != T(z,a(z,u,w)) | x * z = y. a(x,y,z) * x = x * a(x,y,z). a(x,y,z) * R(x,u,w) = R(x,u,w) * a(x,y,z). R(x,y,z) * a(x,u,w) = a(x,u,w) * R(x,y,z). x != a(y,z,u) | (y * (z * u)) \ ((y * z) * u) = x. (x * (y * z)) \ ((x * y) * z) = T(a(x,y,z),x). K(a(x,y,z),x) = 1. x / a(y \ 1,z,u) = x / (y \ L(y,u,z)). L(x,y,z) / a(x \ 1,z,y) = x. a(x \ 1,y,z) != u \ L(x,z,y) | x = u. x * a(x \ 1,y,z) != u | L(x,z,y) = u. x \ L(x,y,z) != u | a(x \ 1,z,y) = u. (x * y) \ (x * L(y,z,u)) != w | L(a(y \ 1,u,z),y,x) = w. L(x \ 1,y,z) \ u = (x \ a(x,z,y)) \ u. L(x \ 1,y,z) != x \ u | a(x,z,y) = u. L(x,y,z) = (1 / x) \ a(1 / x,z,y). x * L(x \ 1,y,z) != u | a(x,z,y) = u. T(a(x,y,z),x) = L(1 / x,z,y) * x. L(1 / x,y,z) * x = T(a(x,z,y),x). (a(x,y,z) * u) / x = (1 / x) \ (L(1 / x,z,y) * (u / x)). (1 / x) \ (L(1 / x,y,z) * (u / x)) = (a(x,z,y) * u) / x. (1 / x) \ L(1 / x,y,z) != u | a(x,z,y) = u. T(a(x,y,z),x) != u | x * L(x \ 1,z,y) = u. (x * (y * z)) \ ((x * y) * z) = T((x * (y * z)) \ ((x * y) * z),x). T((x * (y * z)) \ ((x * y) * z),x) = (x * (y * z)) \ ((x * y) * z). a(x,y,z) != u | x * L(x \ 1,z,y) = u. (x * y) * R((x * y) \ y,z,u) = (R(1 / x,z,u) * x) * y. (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 / z)) * x) * z = x * (z * T(z \ (x \ y),x)). x * (y * T(y \ (x \ z),x)) = ((x \ (z / y)) * x) * y. ((x \ y) * x) * x = x * (x * T(x \ T(y,x),x)). x * (x * T(x \ T(y,x),x)) = ((x \ y) * x) * x. x * ((x \ T(y,x)) * x) = ((x \ y) * x) * x. T((x \ y) * x,x) = (x \ T(y,x)) * x. x * y != (z \ T(u,z)) * z | T((z \ u) * z,z) / y = x. T((x \ y) * x,x) / x = x \ T(y,x). x * (T((x \ y) * x,x) / x) = T(y,x). T(x * y,y) / y = y \ T(y * x,y). (x \ T(y,x)) * x != z | T((x \ y) * x,x) = z. T(x,y) / y = y \ T(y * (x / y),y). x \ T(x * (y / x),x) = T(y,x) / x. x \ y != T(z * u,w) / u | x * ((1 / u) * T((1 / u) \ z,w)) = y. x * ((1 / x) * T((1 / x) \ y,x)) = T(x * y,x). T(x * T(y,z),x) / x = x \ T(x * T((x * y) / x,z),x). x \ T(x * T((x * y) / x,z),x) = T(x * T(y,z),x) / x. x * (T(y,x) * (1 / x)) = T(x * (y * (1 / x)),x). T(x * (y * (1 / x)),x) = x * (T(y,x) * (1 / x)). x * (T((x \ y) * z,x) / z) = ((x \ (y / (1 / z))) * x) * (1 / z). ((x \ (y / (1 / z))) * x) * (1 / z) = x * (T((x \ y) * z,x) / z). x * (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)). K(x,x \ 1) * T((x * (1 / x)) \ y,z) = x * ((1 / x) * T((1 / x) \ (x \ y),z)). (x * y) * T(y,z) = (T((x * y) / x,z) * x) * y. (T((x * y) / x,z) * x) * y = (x * y) * T(y,z). (x * y) * T((x * y) \ (z * y),u) = (T(z / x,u) * x) * y. (x * T(y,z)) * y = (x * y) * T(y,z). x \ (y * (T(x,z) * x)) = (((1 / x) * y) * x) * T(x,z). (((1 / x) * y) * x) * T(x,z) = x \ (y * (T(x,z) * x)). (x * y) / T(y,z) = (x / T(y,z)) * y. ((x / T(y,z)) * y) \ (x * y) = T(y,z). (x * T(y,z)) \ ((x * y) * T(y,z)) = y. x * y != ((z / u) * u) * w | (z * w) / y = x. (x * T(y,z)) / y = (x / y) * T(y,z). ((x / y) * T(y,z)) \ (x * T(y,z)) = y. (x * (y \ z)) * (z / y) = (x * (z / y)) * T(z / y,y). (x * (y / z)) * T(y / z,z) = (x * (z \ y)) * (y / z). x \ ((y * x) * T(x,z)) != u | T(y * T(x,z),x) = u. (x * y) * T(y,x) != z | (y * x) * y = z. (x * (y / z)) / (z \ y) = (x / T(y / z,z)) * (y / z). (x / T(y / z,z)) * (y / z) = (x * (y / z)) / (z \ y). x * T(y,z) != u * y | (u / T(y,z)) * y = x. (x * T(y,z)) * y != u | (x * y) * T(y,z) = u. T(x,y) = R(T(x,y * T(x,z)),y,T(x,z)). R(T(x,y * T(x,z)),y,T(x,z)) = T(x,y). (x * y) / x = (y / x) * T(x,y). (x / y) * T(y,x) = (y * x) / y. x * T(x \ y,y) = ((x \ y) * y) / (x \ y). ((x \ y) * y) / (x \ y) = x * T(x \ y,y). (x / y) \ ((y * x) / y) = T(y,x). T(x,y) = (y / x) \ ((x * y) / x). x * y != (z / u) * T(u,z) | ((u * z) / u) / y = x. ((x * y) / x) / T(y / x,T(x,y)) = T(x,y). (x * y) * T(L(y \ 1,y,x),x) = (L(y \ 1,y,x) * x) / L(y \ 1,y,x). (L(x \ 1,x,y) * y) / L(x \ 1,x,y) = (y * x) * T(L(x \ 1,x,y),y). K(x \ (x / (x \ (x / y))),x) = x \ ((y * x) / y). (x * ((x * y) * y)) * x != z | ((x * y) * x) * (x * y) = z. T(x,y) != ((x * y) / x) / z | T(y / x,T(x,y)) = z. ((x * y) / x) / z != T(x,y) | T(y / x,T(x,y)) = z. T(x,y) * T(y,z) = y \ (x * (T(y,z) * y)). x \ (y * (T(x,z) * x)) = T(y,x) * T(x,z). (x * ((y * z) / y)) * z = (x * (y \ (y * z))) * ((y * z) / y). (x * (y \ (y * z))) * ((y * z) / y) = (x * ((y * z) / y)) * z. (x / (y \ z)) * (z / y) = (x * (z / y)) / (y \ z). (x * (y / z)) / (z \ y) = (x / (z \ y)) * (y / z). (x / (y \ z)) / (z / y) = (x / (z / y)) / (y \ z). (x / (y / z)) / (z \ y) = (x / (z \ y)) / (y / z). x / (y / z) = ((x * (z \ y)) / (y / z)) / (z \ y). ((x * (y \ z)) / (z / y)) / (y \ z) = x / (z / y). ((x / (y \ z)) / (z / y)) * (y \ z) != u | x / (z / y) = u. x / (y / z) != u / (z \ y) | (x * (z \ y)) / (y / z) = u. x / (y \ z) != u / (z / y) | (u * (y \ z)) / (z / y) = x. (x / (y / z)) * (z \ y) != u | (x * (z \ y)) / (y / z) = u. (((x * (1 / y)) / x) * y) * x = T(x,R(1 / y,y,x)). (x * ((y * (x \ 1)) / y)) * y = T(y,R(1 / x,x,y)). (x \ T(x,x / (x * y))) * x = T(x,R(1 / y,y,x)). T(x,R(1 / y,y,x)) = (x \ T(x,x / (x * y))) * x. L(x,y,z) * (x * u) = x * (u * L(T(x,u),y,z)). x * (y * L(T(x,y),z,u)) = L(x,z,u) * (x * y). x * (L(x,y,z) * u) = L(x,y,z) * (x * u). L(x,y,z) * (x * u) = x * (L(x,y,z) * u). x \ (L(x,y,z) * u) = L(x,y,z) * (x \ u). L(x,y,z) * u = x * (L(x,y,z) * (x \ u)). x * (L(x,y,z) * (x \ u)) = L(x,y,z) * u. L(x,y,z) \ (x * (L(x,y,z) * u)) = x * u. L(x,y,z) \ (x * u) = x * (L(x,y,z) \ u). L(x,y,z) \ u = x * (L(x,y,z) \ (x \ u)). x * (L(x,y,z) \ (x \ u)) = L(x,y,z) \ u. x * y != L(z,u,w) * (z * v5) | x \ (z * (L(z,u,w) * v5)) = y. ((x * y) * L(x,z,u)) \ (x * (L(x,z,u) * y)) = K(L(x,z,u),x * y). x \ (L(x,y,z) * (u * x)) = L(x,y,z) * T(u,x). x \ (L(x,y,z) * u) != w | L(x,y,z) * (x \ u) = w. L(x,y,z) * (x * u) != w | x * (L(x,y,z) * u) = w. L((x * y) / y,y,L(x,z,u)) = T((y * x) / y,L(x,z,u) * y). T((x * y) / x,L(y,z,u) * x) = L((y * x) / x,x,L(y,z,u)). x \ (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) \ (x \ u)) != w | L(x,y,z) \ u = w. x \ ((y \ (x * z)) * y) = (x \ y) * T((x \ y) \ z,y). (x \ y) * T((x \ y) \ z,y) = x \ ((y \ (x * z)) * y). x \ (y * T(y \ z,u)) = (x \ y) * T((x \ y) \ (x \ z),u). (x \ y) * T((x \ y) \ (x \ z),u) = x \ (y * T(y \ z,u)). x * y != T(z / u,w) * u | (u * T(u \ z,w)) / y = x. (x * T(x \ (y * z),u)) / z = T(y / (x / z),u) * (x / z). L(x,T(x,y) \ 1,T(x,y)) = x * K(x \ (x / T(x,y)),x). x \ y != K(z \ (z / u),z) | x * (u * T(u \ 1,z)) = y. x * (T(y,x) * T(T(y,x) \ 1,z)) = (y * x) * T((y * x) \ x,z). 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 * (1 / (1 / y))) / x) * (1 / y) = ((x * y) / x) / y. (1 / x) * ((y * ((1 / x) \ 1)) / y) = ((y * x) / y) / x. (1 / x) * ((y * x) / y) = ((y * x) / y) / x. x * ((y * (x \ 1)) / y) = ((y * (x \ 1)) / y) / (x \ 1). ((x * (y \ 1)) / x) / (y \ 1) = y * ((x * (y \ 1)) / x). L(1 / x,y,z) * ((1 / x) \ (u / x)) = (a(x,z,y) * u) / x. (x * y) * R((x * y) \ y,z,u) = (x * R(x \ 1,z,u)) * y. (x * y) * T((x * y) \ (z * y),u) = (x * T(x \ z,u)) * y. (x * y) * ((z * y) / z) = (x * ((z * y) / z)) * y. (x * ((y * z) / y)) * z = (x * z) * ((y * z) / y). (x * x) * y != (x * z) * x | T(z,x) = y. T(x,(y * x) / y) = x. T(x,x / (x / y)) * y = ((x / y) * y) * ((x * y) / x). ((x / y) * y) * ((x * y) / x) = T(x,x / (x / y)) * y. T(x,y * T(y \ x,x)) = x. T(x,x * (y * T(y \ 1,x))) = x. T(x,x * (y \ (z * T(z \ y,x)))) = x. T(x,x * (T(x,y) \ ((y \ x) * ((y \ x) \ x)))) = x. T(x,x * (T(x,y) \ x)) = x. T(x,y) = T(T(x,y),x * (T(x,z) \ x)). T(T(x,y),x * (T(x,z) \ x)) = T(x,y). T(T(x,y),x * (T(x,y) \ z)) != u | (x * (T(x,y) \ z)) \ (x * z) = u. (x * (T(x,y) \ x)) \ (x * x) = T(x,y). (x * x) / T(x,y) = x * (T(x,y) \ x). x * y != (z * x) / T(x,u) | T(z / T(x,u),x) = y. T(x / T(x,y),x) = T(x,y) \ x. T(((T(x,y) \ x) * x) / (T(x,y) \ x),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). (T(x,y) \ x) * T(x,y) = T(x,y) * T(T(x,y) \ x,x). T(x,y) * T(T(x,y) \ x,x) = (T(x,y) \ x) * T(x,y). x * ((x * y) / x) = T(x,x / (x / y)) * y. T(x,x / (x / y)) * y = x * ((x * y) / x). T(x,x / (x / y)) * (x \ y) = (x * y) / x. ((x * y) / x) / (x \ y) = T(x,x / (x / y)). T(x,y) * T((y \ (x * y)) \ (y \ z),u) = y \ ((x * y) * T((x * y) \ z,u)). (x / y) * T((x / y) \ z,u) = (x * T(x \ (z * y),u)) / y. (x * T(x \ (y * z),u)) / z = (x / z) * T((x / z) \ y,u). (x * L(x \ 1,y,z)) * (x \ u) = u * L(u \ (x \ u),y,z). (x * y) * T((x * y) \ z,u) != w | x * (y * T(y \ (x \ z),u)) = w. x * (y * T(y \ (x \ (z * y)),u)) = (x * T(x \ z,u)) * y. (x * y) * T((x * y) \ y,z) = (x * T(x \ 1,z)) * y. x * (y * T(y \ (x \ y),z)) = (x * T(x \ 1,z)) * y. K(x \ (x / T(y,z)),x) = z \ ((y * T(y \ 1,x)) * z). x * ((y \ (x \ y)) * y) = (x * T(x \ 1,y)) * y. (x * T(x \ 1,y)) * y = x * ((y \ (x \ y)) * y). x * T(y * T(y \ 1,x),x) = y * ((x \ (y \ x)) * x). T(x * T(x \ 1,y),z) = K(y \ (y / T(x,z)),y). x != K(y \ (y / z),y) | z * T(z \ 1,y) = x. T(x,y) * T(T(x,y) \ 1,z) = T(x * T(x \ 1,z),y). x * y != K(z \ (z / T(u,w)),z) | x \ T(u * T(u \ 1,z),w) = y. T(x,y) \ T(x * T(x \ 1,z),y) = T(T(x,y) \ 1,z). T(K(x \ 1,x),y) = K(x \ (x / T(x,y)),x). K(x \ (x / T(x,y)),x) = T(K(x \ 1,x),y). x * ((y \ (x \ y)) * y) != z | (x * T(x \ 1,y)) * y = z. (T(x,y) \ 1) * T(x,y) = T(x * T(x \ 1,T(x,y)),y). T(x * T(x \ 1,T(x,y)),y) = (T(x,y) \ 1) * T(x,y). T(x,y) \ T(x * (x \ 1),y) = T(T(x,y) \ 1,x \ T(x,z)). T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ T(x * (x \ 1),y). (x * T(y,z)) / y = (x / y) * T((x / y) \ x,z). (x / y) * T((x / y) \ x,z) = (x * T(y,z)) / y. ((x \ (y * z)) * x) / z = (x / z) * T((x / z) \ y,x). (x / y) * T((x / y) \ z,x) = ((x \ (z * y)) * x) / y. ((x / y) * T((x / y) \ x,z)) * y = x * T(y,z). (x * T(y,z)) / y != u | (x / y) * T((x / y) \ x,z) = u. (x * (1 / x)) * (x \ y) = y * L(y \ (x \ y),x,x \ 1). x * L(x \ (y \ x),y,y \ 1) = (y * (1 / y)) * (y \ x). x * (y * T(y \ (x \ z),u)) = (x * T(x \ (z / y),u)) * y. (x * T(x \ (y / z),u)) * z = x * (z * T(z \ (x \ y),u)). T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ T(1,y). T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ 1. x \ (y * (x * T(x \ (y \ z),u))) != w | T(y * T(y \ (z / x),u),x) = w. (x \ T(x * (y / z),u)) * z = (x \ 1) * (z * T(z \ ((x \ 1) \ y),u)). (x \ 1) * (y * T(y \ ((x \ 1) \ z),u)) = (x \ T(x * (z / y),u)) * y. ((x / y) * K(y \ 1,y)) * y = x * (y * T(y \ (x \ x),y)). ((x / y) * K(y \ 1,y)) * y = x * (y * T(y \ 1,y)). ((x / y) * K(y \ 1,y)) * y = x * ((y \ 1) * y). x * y != R(z,u,y) * (u * y) | z * u = x. x * (y \ 1) = (R(x,y \ 1,y) / y) * K(y \ 1,y). (R(x,y \ 1,y) / y) * K(y \ 1,y) = x * (y \ 1). x * (y \ 1) != z * K(y \ 1,y) | R(x,y \ 1,y) / y = z. x * K(y \ 1,y) != z * (y \ 1) | R(z,y \ 1,y) / y = x. T(R(L(x / y,z,u),y,w),y * w) = L((y * w) \ (x * w),z,u). 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) = (1 / (y \ x)) \ (x \ y). (1 / (x \ y)) \ (y \ x) = (y \ x) * (x \ y). (1 / (x \ y)) * ((y \ x) * (x \ y)) = y \ x. T(1 / (x \ y),(y \ x) * (x \ y)) = ((y \ x) * (x \ y)) \ (y \ x). x * L(x \ y,y \ x,x \ y) = y * K(y \ x,(y \ x) \ 1). T((x * y) / x,L(y,z,u) * x) = L(y,x,L(y,z,u)). x \ y != T(R(L(z / u,w,v5),u,v6),u * v6) | x * L((u * v6) \ (z * v6),w,v5) = y. (x * y) * L((x * y) \ (z * y),u,w) = (L(z / x,u,w) * x) * y. ((x \ 1) \ y) * T(x,x \ 1) != T(x,x \ 1) * z | y * T(x,x \ 1) = z. T(x,x \ 1) * y != ((x \ 1) \ z) * T(x,x \ 1) | z * T(x,x \ 1) = y. (x * y) * ((z * ((x * y) \ (x * u))) / z) != w | x * (y * ((z * (y \ u)) / z)) = w. T(T(x,x * y) * y,R(x,y,y \ 1)) = x * y. T(x * y,z) = T(T(T(x,x * y) * y,z),R(x,y,y \ 1)). T(T(T(x,x * y) * y,z),R(x,y,y \ 1)) = T(x * y,z). T(x * y,R(x,y,y \ 1)) = T(x * y,T(x,y)). T(x,R(x / y,y,y \ 1)) = T((x / y) * y,T(x / y,y)). T((x / y) * y,T(x / y,y)) = T(x,R(x / y,y,y \ 1)). T((x / y) * y,T(x / y,y)) = T(x,x * (y \ 1)). T(x,T(x / y,y)) = T(x,x * (y \ 1)). T(x,y \ x) = T(x,x * (y \ 1)). T(x,x * (y \ 1)) = T(x,y \ x). T(x,x * y) = T(x,(1 / y) \ x). T(x,(1 / y) \ x) = T(x,x * y). (((x * y) / x) * (y \ 1)) * x = T(x,R(y,y \ 1,x)). (x \ ((y * x) / y)) * y = T(y,R(x,x \ 1,y)). (T(x,y) \ x) * y = T(y,R(T(x,y),T(x,y) \ 1,y)). T(x,R(T(y,x),T(y,x) \ 1,x)) = (T(y,x) \ y) * x. T(x,R(y,y \ 1,x)) / x != z | y \ ((x * y) / x) = z. (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 != ((y / z) * z) * u | y * u = x. x * L(y,z,u) = ((x / y) * L(y,z,u)) * y. ((x / y) * L(y,z,u)) * y = x * L(y,z,u). (x * L(y,z,u)) \ ((x * y) * L(y,z,u)) = y. (x * L(y,z,u)) / y = (x / y) * L(y,z,u). ((x * y) * L(y,z,u)) \ (y * (x * L(y,z,u))) != w | K(y,x * L(y,z,u)) = w. T(x,y) = T(R(x,y,L(x,z,u)),y * L(x,z,u)). T(R(x,y,L(x,z,u)),y * L(x,z,u)) = T(x,y). (x * L(y,z,u)) * T(y,w) = (x * T(x \ (x * y),w)) * L(y,z,u). (x * T(x \ (x * y),z)) * L(y,u,w) = (x * L(y,u,w)) * T(y,z). (x * (1 / (1 / y))) / y = (x / y) * L(y,1 / y,y). (x / y) * L(y,1 / y,y) = (x * (1 / (1 / y))) / y. x \ y != T(R(z,u,L(z,w,v5)),u * L(z,w,v5)) | x * T(z,u) = y. (x * L(y,z,u)) * T(y,x) = (y * x) * L(y,z,u). T(x,y) != T(z,y * L(x,u,w)) | R(x,y,L(x,u,w)) = z. T(x,y * L(z,u,w)) != T(z,y) | R(z,y,L(z,u,w)) = x. (x / y) * (1 / (1 / y)) = (x * (1 / (1 / y))) / y. (x * (1 / (1 / y))) / y = (x / y) * (1 / (1 / y)). ((x / y) * (1 / (1 / y))) \ (x * (1 / (1 / y))) = y. x != L(y / z,u,w) * z | z * L(z \ y,u,w) = x. (x * y) * L((x * y) \ z,u,w) = (L((z / y) / x,u,w) * x) * y. (L((x / y) / z,u,w) * z) * y = (z * y) * L((z * y) \ x,u,w). (x * y) * R((x * y) \ (z * y),u,w) = (R(z / x,u,w) * x) * y. (x * y) * ((z * ((x * y) \ y)) / z) = (((z * (1 / x)) / z) * x) * y. R(1 / x,y,z) * T(x,x \ 1) = ((x \ 1) \ 1) * R(x \ 1,y,z). L(1 / x,y,z) * (1 / (1 / x)) != u | L(x \ 1,y,z) / (1 / x) = u. L(x \ 1,y,z) / (1 / x) = (1 / (1 / x)) * L(x \ 1,y,z). (1 / (1 / x)) * L(x \ 1,y,z) = L(x \ 1,y,z) / (1 / x). (1 / (1 / (x \ y))) * (y \ x) = L((x \ y) \ 1,x \ y,x) / (1 / (x \ y)). L((x \ y) \ 1,x \ y,x) / (1 / (x \ y)) = (1 / (1 / (x \ y))) * (y \ x). (x / y) * (y * L(y \ ((x / y) \ z),u,w)) = x * L(x \ z,u,w). x \ (y * R(y \ x,z,u)) = (x \ y) * R((x \ y) \ 1,z,u). (x \ y) * R((x \ y) \ 1,z,u) = x \ (y * R(y \ x,z,u)). (x * (y * z)) * ((u * (((x * y) * L(z,y,x)) \ (x * y))) / u) = (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)). (x / y) \ (x * ((z * (x \ (x / y))) / z)) = y * ((z * (y \ 1)) / z). T((x * (y * z)) \ (R(x,y,z) * (y * z)),x) = (x * (y * z)) \ ((x * y) * z). (x * y) * L((x * y) \ (z * y),u,w) = (x * L(x \ z,u,w)) * y. (x * T(y,z)) * L(y,u,w) = (x * L(y,u,w)) * T(y,z). (x * L(x \ (y / z),u,w)) * z = (x * z) * L((x * z) \ y,u,w). (x * y) * R((x * y) \ (z * y),u,w) = (x * R(x \ z,u,w)) * y. (x * y) * ((z * ((x * y) \ y)) / z) = (x * ((z * (x \ 1)) / z)) * y. x != ((y \ 1) \ 1) * R(y \ 1,z,u) | (y \ 1) \ R(1 / y,z,u) = x. (x \ 1) \ R(1 / x,y,z) = R(1 / x,y,z) * T(x,x \ 1). R(1 / x,y,z) * T(x,x \ 1) = (x \ 1) \ R(1 / x,y,z). (x / y) * T(y / x,(y / x) \ 1) = ((y / x) \ 1) \ R(1 / (y / x),y / x,x). ((x / y) \ 1) \ R(1 / (x / y),x / y,y) = (y / x) * T(x / y,(x / y) \ 1). (x / y) \ (x * ((x / y) / x)) = y * ((x * (y \ 1)) / x). K(x,(x / y) / x) = y * ((x * (y \ 1)) / x). x != (y \ 1) * ((z * ((y \ 1) \ 1)) / z) | y \ ((z * y) / z) = x. x \ ((y * x) / y) = K(y,(y / (x \ 1)) / y). K(x,(x / (y \ 1)) / x) = y \ ((x * y) / x). K(x,y / x) = (y \ x) * ((x * ((y \ x) \ 1)) / x). (x \ y) * ((y * ((x \ y) \ 1)) / y) = K(y,x / y). K(T(x,y),1 / x) = x * ((T(x,y) * (x \ 1)) / T(x,y)). x * ((T(x,y) * (x \ 1)) / T(x,y)) = K(T(x,y),1 / x). K(L(x \ 1,y,z),1 / (x \ 1)) = x \ ((L(x \ 1,y,z) * x) / L(x \ 1,y,z)). x \ ((L(x \ 1,y,z) * x) / L(x \ 1,y,z)) = K(L(x \ 1,y,z),1 / (x \ 1)). (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 * y) * L((x * y) \ y,z,u) = (x * L(x \ 1,z,u)) * 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). (x * y) * L((x * y) \ z,u,w) != v5 | x * (y * L(y \ (x \ z),u,w)) = v5. x * (y * L(y \ (x \ y),z,u)) = (x * L(x \ 1,z,u)) * y. x * (y * L(y \ (x \ y),x,x \ 1)) = (x * (1 / x)) * y. x * ((x * (1 / x)) * (x \ y)) = (x * (1 / x)) * y. x * (K(x,x \ 1) * (x \ y)) = (x * (1 / x)) * y. x * (K(x,x \ 1) * (x \ y)) = K(x,x \ 1) * y. x * (K(x,x \ 1) * y) = K(x,x \ 1) * (x * y). K(x,x \ 1) * (x * y) = x * (K(x,x \ 1) * y). (x \ 1) * (K(x \ 1,x) * ((x \ 1) \ y)) = K(x \ 1,(x \ 1) \ 1) * y. x * (K(x,x \ 1) * y) != K(x,x \ 1) * z | x * y = z. K(x,x \ 1) * y != x * (K(x,x \ 1) * z) | x * z = y. x != (y * z) * L((y * z) \ u,w,v5) | y * (z * L(z \ (y \ u),w,v5)) = x. x * (y * L(y \ (x \ z),u,w)) = (x * L(x \ (z / y),u,w)) * y. (x * L(x \ (y / z),u,w)) * z = x * (z * L(z \ (x \ y),u,w)). x * y != (z * x) * R((z * x) \ (u * x),w,v5) | T(z * R(z \ u,w,v5),x) = y. T(x * R(x \ y,z,u),x) = x * R(x \ (x \ (y * x)),z,u). x * R(x \ (x \ (y * x)),z,u) = T(x * R(x \ y,z,u),x). (x * y) * R(y,z,u) = (x * R(x \ (x * y),z,u)) * y. (x * R(x \ (x * y),z,u)) * y = (x * y) * R(y,z,u). x \ ((y * R(y \ x,z,u)) * w) = (x \ (y * w)) * R((x \ (y * w)) \ w,z,u). (x \ (y * z)) * R((x \ (y * z)) \ z,u,w) = x \ ((y * R(y \ x,u,w)) * z). (x * R(y,z,u)) * y = (x * y) * R(y,z,u). (x * R(y,z,u)) \ ((x * y) * R(y,z,u)) = y. T(x,y) = T(R(x,y,R(x,z,u)),y * R(x,z,u)). T(R(x,y,R(x,z,u)),y * R(x,z,u)) = T(x,y). x \ y != T(R(z,u,R(z,w,v5)),u * R(z,w,v5)) | x * T(z,u) = y. (x * R(y,z,u)) * T(y,x) = (y * x) * R(y,z,u). x * R(x \ T(y,x),z,u) = T(x * R(x \ y,z,u),x). T(x * R(x \ y,z,u),x) = x * R(x \ T(y,x),z,u). x * y != z * R(z \ T(u,z),w,v5) | T(z * R(z \ u,w,v5),z) / y = x. T(x * R(x \ y,z,u),x) / x = R(T(y,x) / x,z,u). x * y != z * R(z \ T(u,z),w,v5) | x \ T(z * R(z \ u,w,v5),z) = y. x \ T(x * R(x \ y,z,u),x) = R(x \ T(y,x),z,u). T(x * R(y,z,u),x) / x = R(T(x * y,x) / x,z,u). R(T(x * y,x) / x,z,u) = T(x * R(y,z,u),x) / x. x * y != (z / u) * (u * L(u \ ((z / u) \ w),v5,v6)) | (z * L(z \ w,v5,v6)) / y = x. (x * L(x \ y,z,u)) / w = (x / w) * L((x / w) \ (y / w),z,u). (x / y) * L((x / y) \ (z / y),u,w) = (x * L(x \ z,u,w)) / y. (x / y) * L(T(y,x),z,u) = (x * L(x \ (y * x),z,u)) / y. (x * L(x \ (y * x),z,u)) / y = (x / y) * L(T(y,x),z,u). (L(x,y,z) * u) / x = (u / x) * L(T(x,u),y,z). (x / y) * L(T(y,x),z,u) = (L(y,z,u) * x) / y. x * L(T(y,x * y),z,u) = (L(y,z,u) * (x * y)) / y. (L(x,y,z) * (u * x)) / x = u * L(T(x,u * x),y,z). T(x * L(T(y,x * y),z,u),y) = y \ (L(y,z,u) * (x * y)). x != y \ (L(y,z,u) * (w * y)) | L(y,z,u) * T(w,y) = x. L(x,y,z) * T(u,x) = T(u * L(T(x,u * x),y,z),x). T(x * L(T(y,x * y),z,u),y) = L(y,z,u) * T(x,y). x != (y * (z * u)) \ ((y * z) * u) | a(y,z,u) = x. a(x,y,z) = L(L(z,y,x) \ z,L(z,y,x),x * y). a(x,y,z) = L(L(z,y,x) \ z,(x * y) \ (x * (y * z)),x * y). T(a(x,y,z),(x * y) \ (x * (y * z))) = (x * (y * z)) \ ((x * y) * ((L(z,y,x) \ z) * ((x * y) \ (x * (y * z))))). (x * (y * z)) \ ((x * y) * ((L(z,y,x) \ z) * ((x * y) \ (x * (y * z))))) = T(a(x,y,z),(x * y) \ (x * (y * z))). K(((x \ y) * (y \ x)) \ (x \ y),(x \ y) * (y \ x)) = y \ (x * (x \ y)). R(x / (y * x),(y * x) / x,x / (y * x)) = R(y \ 1,y,x). R(x / (y * x),y,x / (y * x)) = R(y \ 1,y,x). R(1 / x,x,y / (x * y)) = x \ 1. R(1 / x,x,(x \ y) / y) = x \ 1. (x \ 1) \ ((x \ y) / y) = x * ((x \ y) / y). x != ((y * (z / u)) / y) * u | u * ((y * (u \ z)) / y) = x. (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) * T(K(y,x),z) = y * (T(x,y) * T(T(x,y) \ x,z)). x * (T(y,x) * T(T(y,x) \ y,z)) = (y * x) * T(K(x,y),z). x * L(y,T(y,x) \ y,T(y,x)) = (y * x) * T(K(x,y),y). (x \ 1) * ((y \ ((x \ 1) \ z)) * y) = (x \ T(x * (z / y),y)) * y. (x \ T(x * (y / z),z)) * z = (x \ 1) * ((z \ ((x \ 1) \ y)) * z). T((x \ (x * (y / x))) * x,x) = (x \ 1) * ((x \ ((x \ 1) \ y)) * x). T(x,y) = (y \ 1) * ((y \ ((y \ 1) \ x)) * y). T((x \ 1) * y,x) = (x \ 1) * ((x \ y) * x). (x \ 1) * ((x \ y) * x) = T((x \ 1) * y,x). x * (((1 / x) \ y) * (1 / x)) = T(((1 / x) \ 1) * y,1 / x). T(((1 / x) \ 1) * y,1 / x) = x * (((1 / x) \ y) * (1 / x)). T(x * y,1 / x) = x * (((1 / x) \ y) * (1 / x)). x * (((1 / x) \ y) * (1 / x)) = T(x * y,1 / x). T((1 / x) * T(x * y,1 / x),x) = (1 / x) * ((((1 / x) \ y) * (1 / x)) * x). (1 / x) * ((((1 / x) \ y) * (1 / x)) * x) = T((1 / x) * T(x * y,1 / x),x). x * K(y,(y / (x \ z)) / y) = z * ((y * (z \ (x * 1))) / y). x * K(y,(y / (x \ z)) / y) = z * ((y * (z \ x)) / y). x * K(y,(y / T(z,x)) / y) = (z * x) * ((y * ((z * x) \ x)) / y). (x * y) * ((z * ((x * y) \ y)) / z) = y * K(z,(z / T(x,y)) / z). x * y != (z * x) * ((u * ((z * x) \ x)) / u) | T(z * ((u * (z \ 1)) / u),x) = y. T(x * ((y * (x \ 1)) / y),z) = K(y,(y / T(x,z)) / y). x != K(y,(y / z) / y) | z * ((y * (z \ 1)) / y) = x. T(x,y) * ((z * (T(x,y) \ 1)) / z) = T(x * ((z * (x \ 1)) / z),y). T(K(x,y / x),z) = K(x,(x / T(y \ x,z)) / x). K(x,(x / T(y \ x,z)) / x) = T(K(x,y / x),z). K(x,(x / (y \ x)) / x) = T(K(x,y / x),K(y / x,z)). T(K(x,y / x),K(y / x,z)) = K(x,(x / (y \ x)) / x). T(K(x,y / x),K(y / x,z)) = K(x,y / x). T(K(x,y),K((y * x) / x,z)) = K(x,(y * x) / x). T(K(x,y),K(y,z)) = K(x,(y * x) / x). T(K(x,y),K(y,z)) = K(x,y). T(K(x,y),K(z,x)) = K(x,y). x \ y != T(K(z,u),K(u,w)) | x * K(z,u) = y. K(x,y) * K(z,x) = K(z,x) * K(x,y). K(x,y) * K(z,x) != u | K(z,x) * K(x,y) = u. T((x * y) \ (y * x),K(z,y)) = K(y,x). T(K(x,y),K(x,z)) = K(x,y). K(x,y) * K(y,z) != u | K(y,z) * K(x,y) = u. K(x,y) * L(K(y,z),u,w) = L(K(y,z),u,w) * K(x,y). L(K(x,y),z,u) * K(w,x) = K(w,x) * L(K(x,y),z,u). K(x,y) * L(K(y,z),u,w) != v5 | L(K(y,z),u,w) * K(x,y) = v5. x \ y != T(K(z,u),K(z,w)) | x * K(z,u) = y. K(x,y) * K(x,z) = K(x,z) * K(x,y). K(x,y) * K(x,z) != u | K(x,z) * K(x,y) = u. x != K(y,z) | L(y \ T(y,z),y,z) = x. L(x \ T(x,y),x,y) = T((y * x) \ (x * y),K(z,x)). T((x * y) \ (y * x),K(z,y)) = L(y \ T(y,x),y,x). T(x \ T(x,y),K(z,x)) = x \ T(x,y). T(K(x,y),y \ T(y,z)) = K(x,y). K(K(x,y),y \ T(y,z)) = 1. K(K(x,y),y \ ((T(z,y) \ z) * y)) = 1. K(K(x,y),T(T(z,y) \ z,y)) = 1. T(x,y) * (1 / T(x,y)) = T(x * ((T(x,y) * (x \ 1)) / T(x,y)),y). T(x * ((T(x,y) * (x \ 1)) / T(x,y)),y) = T(x,y) * (1 / T(x,y)). x != y * (1 / y) | K(y,y \ 1) = x. K(T(x,y),T(x,y) \ 1) = T(x * ((T(x,y) * (x \ 1)) / T(x,y)),y). T(x * ((T(x,y) * (x \ 1)) / T(x,y)),y) = K(T(x,y),T(x,y) \ 1). T(K(T(x,y),1 / x),y) = K(T(x,y),T(x,y) \ 1). K(T(x,y),T(x,y) \ 1) = T(K(T(x,y),1 / x),y). (x * (y * L(y \ 1,z,u))) * y = (x * y) * (y * L(y \ 1,z,u)). (x * (y * (1 / y))) * y = (x * y) * (y * L(y \ 1,y,1 / y)). (x * y) * (y * L(y \ 1,y,1 / y)) = (x * (y * (1 / y))) * y. (x * y) * (y * (1 / y)) = (x * (y * (1 / y))) * y. (x * (y * (1 / y))) * y = (x * y) * (y * (1 / y)). (x * K(y,y \ 1)) * y = (x * y) * (y * (1 / y)). (x * K(y,y \ 1)) * y = (x * y) * K(y,y \ 1). x * y != ((z / u) * u) * w | T(x,y) = y \ (z * w). T((x / y) * K(y,y \ 1),y) = y \ (x * K(y,y \ 1)). (x \ 1) * (K(x \ 1,x) * ((x \ 1) \ y)) = K(x \ 1,x) * y. (x \ 1) \ (K(x \ 1,x) * y) = K(x \ 1,x) * ((x \ 1) \ y). (x \ 1) \ (K(x \ 1,x) * y) != z | L((1 / x) \ y,1 / x,K(x \ 1,x)) = z. L((1 / x) \ y,1 / x,K(x \ 1,x)) = K(x \ 1,x) * ((x \ 1) \ y). x != y \ (z * (z \ y)) | 1 = x. 1 = K(((x \ y) * (y \ x)) \ (x \ y),(x \ y) * (y \ x)). K(((x \ y) * (y \ x)) \ (x \ y),(x \ y) * (y \ x)) = 1. 1 / (x \ y) = T(1 / (x \ y),(y \ x) * (x \ y)). T(1 / (x \ y),(y \ x) * (x \ y)) = 1 / (x \ y). T(1 / (x \ y),(y \ x) * (x \ y)) != z | ((y \ x) * (x \ y)) \ (y \ x) = z. ((x \ y) * (y \ x)) \ (x \ y) = 1 / (y \ x). (x \ y) / (1 / (y \ x)) = (x \ y) * (y \ x). (((x * y) \ x) * y) \ ((x * y) \ x) = 1 / (x \ (x * y)). (((x * y) \ x) * y) \ ((x * y) \ x) = 1 / y. ((x * y) \ x) / (1 / y) = ((x * y) \ x) * y. T(x,(y * x) \ y) = K(((y * x) \ y) \ (((y * x) \ y) * x),(y * x) \ y) * x. K(((x * y) \ x) \ (((x * y) \ x) * y),(x * y) \ x) * y = T(y,(x * y) \ x). (x * ((y / z) / x)) * z = (x * z) * ((x * ((x * z) \ y)) / x). (x * y) * ((x * ((x * y) \ z)) / x) = (x * ((z / y) / x)) * y. (x * y) * ((x * ((x * y) \ z)) / x) != u | (x * ((z / y) / x)) * y = u. (x * y) * ((z * ((x * y) \ u)) / z) != w | x * (y * ((z * (y \ (x \ u))) / z)) = w. x * (y * ((x * (y \ (x \ z))) / x)) = (x * ((z / y) / x)) * y. x * ((y * (z \ u)) * ((x * ((y * (z \ u)) \ (x \ u))) / x)) = (x * (R(z / y,y,z \ u) / x)) * (y * (z \ u)). (x * (R(y / z,z,y \ u) / x)) * (z * (y \ u)) = x * ((z * (y \ u)) * ((x * ((z * (y \ u)) \ (x \ u))) / x)). x * ((y * ((x * (y \ 1)) / x)) * (x \ z)) = (x * ((z / (y * (x \ z))) / x)) * (y * (x \ z)). (x * ((y / (z * (x \ y))) / x)) * (z * (x \ y)) = x * ((z * ((x * (z \ 1)) / x)) * (x \ y)). T(x,x / (x * y)) != z | (x * ((x / y) / x)) * y = z. T((x * (1 / y)) / x,T(y,z) / y) != u | (x * (1 / y)) / x = u. (T(x,y) * (1 / x)) / T(x,y) = L(1 / x,T(x,y),1 / x). T(L(1 / x,T(x,y),1 / x),x) = (T(x,y) * (x \ 1)) / T(x,y). T(L(x / y,z,u),y) != w | L(y \ x,z,u) = w. L(x \ 1,T(x,y),1 / x) = (T(x,y) * (x \ 1)) / T(x,y). (T(x,y) * (x \ 1)) / T(x,y) = L(x \ 1,T(x,y),1 / x). x * L(x \ 1,T(x,y),1 / x) = K(T(x,y),1 / x). x != ((y \ (y / z)) * z) / (y \ (y / z)) | L(z,y \ (y / z),z) = x. L(x,y \ (y / x),x) = L(1 / (y \ (y / x)),y \ (y / x),y). L(1 / (x \ (x / y)),x \ (x / y),x) = L(y,x \ (x / y),y). x != (y * z) * T(L(u,z,y),w) | y * (z * T(u,w)) = x. x * (y * T(y \ 1,x)) = (L(y \ 1,y,x) * x) / L(y \ 1,y,x). (L(x \ 1,x,y) * y) / L(x \ 1,x,y) = y * (x * T(x \ 1,y)). (1 / x) * (x * (y * T(y \ 1,x))) = ((L(y \ 1,y,x) * x) / L(y \ 1,y,x)) / x. ((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) / y = (1 / y) * (y * (x * T(x \ 1,y))). (x \ y) / (1 / (y \ x)) = (1 / (1 / (y \ x))) * (x \ y). (1 / (1 / (x \ y))) * (y \ x) = (y \ x) / (1 / (x \ y)). (x \ y) * z != (x \ y) / (1 / (y \ x)) | T(1 / (1 / (y \ x)),x \ y) = z. T(1 / (1 / (x \ y)),y \ x) = x \ y. x * y != (z \ u) / (1 / (u \ z)) | ((z \ u) * (u \ z)) / y = x. ((x \ y) * (y \ x)) / (x \ y) = 1 / (1 / (y \ x)). T(1 / (1 / x),(y * x) \ y) = y \ (y * x). x != y \ (y * z) | z = x. x = T(1 / (1 / x),(y * x) \ y). T(1 / (1 / x),(y * x) \ y) = x. T(x,x \ 1) = T(x,(y * x) \ y). T(x,(y * x) \ y) = T(x,x \ 1). (x \ 1) \ 1 = T(x,(y * x) \ y). T(x,(y * x) \ y) = (x \ 1) \ 1. T(x \ y,y \ x) = ((x \ y) \ 1) \ 1. (x * y) * K(((x * y) \ x) \ 1,(x * y) \ x) = x * ((y \ 1) \ 1). x \ y != ((z \ u) \ 1) \ 1 | x * T(z \ u,u \ z) = y. x * T(y \ z,z \ y) = x * (((y \ z) \ 1) \ 1). T(x \ y,y \ x) \ z = (((x \ y) \ 1) \ 1) \ z. 1 / T(x \ y,y \ x) = (x \ y) \ 1. 1 / T(x \ (x / y),y) = (x \ (x / y)) \ 1. ((x \ y) * (y \ x)) / (x \ y) != z | L(y \ x,x \ y,y \ x) = z. L(x \ y,y \ x,x \ y) = 1 / (1 / (x \ y)). L(1 / (x \ y),x \ y,x) = 1 / (1 / (y \ x)). x * (1 / (1 / (x \ y))) = y * K(y \ x,(y \ x) \ 1). x * K(x \ y,(x \ y) \ 1) = y * (1 / (1 / (y \ x))). L(1 / (x \ (x / y)),x \ (x / y),x) != z | L(y,x \ (x / y),y) = z. L(x,y \ (y / x),x) = 1 / (1 / ((y / x) \ y)). L(x,y \ (y / x),x) = 1 / (1 / x). L(x,(y * x) \ y,x) = 1 / (1 / x). T((x * y) \ (z * y),x) != u | T(R(x \ z,x,y),x * y) = u. T(R(x \ R(x,y,z),x,y * z),x * (y * z)) = (x * (y * z)) \ ((x * y) * z). ((x \ 1) \ y) * (z * T(x,x \ 1)) != T(x,x \ 1) * u | (y * z) * T(x,x \ 1) = u. T(x,x \ 1) * y != ((x \ 1) \ z) * (u * T(x,x \ 1)) | (z * u) * T(x,x \ 1) = 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). (x / (T(y,z) * x)) * T(y,z) = T(y * R(y \ 1,T(y,z),x),z). T(x * R(x \ 1,T(x,y),z),y) = (z / (T(x,y) * z)) * T(x,y). T(x * R(x \ 1,T(x,y),x \ 1),y) = ((x \ 1) / (x \ T(x,y))) * T(x,y). T(x * T(x \ 1,T(x,y)),y) = ((x \ 1) / (x \ T(x,y))) * T(x,y). ((x \ 1) / (x \ T(x,y))) * T(x,y) = T(x * T(x \ 1,T(x,y)),y). x * T(y,z) != T(y * T(y \ 1,T(y,z)),z) | T(y,z) \ 1 = x. T(x,y) \ 1 = (x \ 1) / (x \ T(x,y)). (x \ 1) / (x \ T(x,y)) = T(x,y) \ 1. T(T(x,y) \ 1,x \ T(x,y)) = (x \ T(x,y)) \ (x \ 1). T(T(x,y) \ 1,x \ T(x,z)) != u | T(x,y) \ 1 = u. T(x,y) \ 1 = (x \ T(x,y)) \ (x \ 1). (x \ T(x,y)) \ (x \ 1) = T(x,y) \ 1. ((x * ((y \ z) / z)) / x) * z = (((x * (1 / y)) / x) * y) * (y \ z). x * ((y * (x \ (z \ x))) / y) = (((y * (1 / z)) / y) * z) * (z \ x). (((x * (1 / y)) / x) * y) * (y \ z) = z * ((x * (z \ (y \ z))) / x). (x * ((y * (x \ 1)) / y)) * (x \ z) = z * ((y * (z \ (x \ z))) / y). (x * ((y * (x \ (z \ x))) / y)) / (z \ x) = z * ((y * (z \ 1)) / y). (x * ((y * (x \ z)) / y)) / ((x / z) \ x) = (x / z) * ((y * ((x / z) \ 1)) / y). T(x,y) * T(T(x,y) \ (y \ z),u) = y \ ((x * y) * T((x * y) \ z,u)). x \ ((y * x) * T((y * x) \ z,u)) = T(y,x) * T(T(y,x) \ (x \ z),u). x \ (y * (x * T(x \ (y \ z),u))) = T(y,x) * T(T(y,x) \ (x \ z),u). T(x * T(x \ (y / z),u),z) = T(x,z) * T(T(x,z) \ (z \ y),u). T(x,y) * T(T(x,y) \ (y \ z),u) = T(x * T(x \ (z / y),u),y). T(x,y) * T(T(x,y) \ z,u) = T(x * T(x \ ((y * z) / y),u),y). T(x * T(x \ ((y * z) / y),u),y) = T(x,y) * T(T(x,y) \ z,u). T(x * T(x \ y,z),u) = T(x,u) * T(T(x,u) \ T(y,u),z). T(x,y) * T(T(x,y) \ T(z,y),u) = T(x * T(x \ z,u),y). x * T(T(x,x) \ T(y,x),z) = T(x * T(x \ y,z),x). x * T(x \ T(y,x),z) = T(x * T(x \ y,z),x). T(x * T(x \ y,z),x) = x * T(x \ T(y,x),z). x * y != z * T(z \ T(u,z),w) | x \ T(z * T(z \ u,w),z) = y. x \ T(x * T(x \ y,z),x) = T(x \ T(y,x),z). x \ T(x * T(y,z),x) = T(x \ T(x * y,x),z). T(x \ T(x * y,x),z) = x \ T(x * T(y,z),x). T(T(x,y) / y,z) = y \ T(y * T(x / y,z),y). x \ T(x * T(y / x,z),x) = T(T(y,x) / x,z). x \ T(x * T((x * y) / x,z),x) != u | T(x * T(y,z),x) / x = u. T(x * T(y,z),x) / x = T(T(x * y,x) / x,z). x * y != (z * x) * L((z * x) \ u,w,v5) | T(z * L(z \ (u / x),w,v5),x) = y. T(x * L(x \ ((y * z) / y),u,w),y) = T(x,y) * L(T(x,y) \ z,u,w). T(x * L(x \ y,z,u),y) = T(x,y) * L(T(x,y) \ y,z,u). T(x,y) * L(T(x,y) \ y,z,u) = T(x * L(x \ y,z,u),y). T(x * L(x \ y,z,u),w) = T(x,w) * L(T(x,w) \ T(y,w),z,u). T(x,y) * L(T(x,y) \ T(z,y),u,w) = T(x * L(x \ z,u,w),y). T(x,y) * L(T(x,y) \ 1,z,u) = T(x * L(x \ 1,z,u),y). T(x,y) * L(z \ 1,z,x / z) != u | x \ (T(x,y) * (x / z)) = u. x \ (T(x,y) * (x / T(x,y))) = T(x * L(x \ 1,T(x,y),x / T(x,y)),y). T(x * L(x \ 1,T(x,y),x / T(x,y)),y) = x \ (T(x,y) * (x / T(x,y))). T(x,y) * ((z * T(x,y)) \ z) = T(x * L(x \ 1,T(x,y),z),y). T(x * L(x \ 1,T(x,y),z),y) = T(x,y) * ((z * T(x,y)) \ z). T(x * L(x \ 1,T(x,y),1 / x),y) = T(x,y) * ((T(x,y) / x) \ (1 / x)). T((x / T(x,y)) * (T(x,y) * (x \ 1)),y) = x \ (T(x,y) * (x / T(x,y))). T((x / T(x,y)) * (x \ T(x,y)),y) = x \ (T(x,y) * (x / T(x,y))). x != y \ (z * (y / z)) | K(z,y / z) = x. K(T(x,y),x / T(x,y)) = T((x / T(x,y)) * (x \ T(x,y)),y). T((x / T(x,y)) * (x \ T(x,y)),y) = K(T(x,y),x / T(x,y)). T(K(T(x,y),1 / x),y) = T(x,y) * ((T(x,y) / x) \ (1 / x)). T(x,y) * ((T(x,y) / x) \ (1 / x)) = T(K(T(x,y),1 / x),y). x != T(K(T(y,z),1 / y),z) | K(T(y,z),T(y,z) \ 1) = x. K(T(x,y),T(x,y) \ 1) = T(x,y) * ((T(x,y) / x) \ (1 / x)). T(x,y) * ((T(x,y) / x) \ (1 / x)) = K(T(x,y),T(x,y) \ 1). x * y != K(x,x \ 1) | 1 / x = y. 1 / T(x,y) = (T(x,y) / x) \ (1 / x). (T(x,y) / x) \ (1 / x) = 1 / T(x,y). (T(x,y) / x) * (1 / T(x,y)) = 1 / x. (T(T(x,x \ 1),y) / T(x,x \ 1)) \ (x \ 1) = 1 / T(T(x,x \ 1),y). (x \ T(x,y)) \ (x \ 1) = 1 / T(T(x,x \ 1),y). (x \ T(x,y)) \ (x \ 1) != z | T(x,y) \ 1 = z. T(x,y) \ 1 = 1 / T(T(x,x \ 1),y). 1 / T(T(x,x \ 1),y) = T(x,y) \ 1. (T(x,y) \ 1) \ 1 = T(T(x,x \ 1),y). T(T(x,x \ 1),y) = (T(x,y) \ 1) \ 1. 1 / T((x \ 1) \ 1,y) = T(x,y) \ 1. 1 / T(x,y) = T(1 / (1 / x),y) \ 1. T(1 / (1 / x),y) \ 1 = 1 / T(x,y). T((x \ 1) \ 1,y) = (T(x,y) \ 1) \ 1. 1 / T(x \ 1,y) = T(1 / x,y) \ 1. 1 / (1 / T(x,y)) = T(1 / (1 / x),y). x \ y != T((z \ 1) \ 1,u) | x * ((T(z,u) \ 1) \ 1) = y. x * ((T(y,x) \ 1) \ 1) = ((y \ 1) \ 1) * x. T(x \ 1,y) = (T(1 / x,y) \ 1) \ 1. (T(1 / x,y) \ 1) \ 1 = T(x \ 1,y). L(x,T(x,y) \ 1,T(x,y)) = 1 / (1 / x). L(x,T(x,y) \ 1,T(x,y)) != z | x * K(x \ (x / T(x,y)),x) = z. x * K(x \ (x / T(x,y)),x) = 1 / (1 / x). x * (((x \ y) \ 1) \ 1) = (((y / x) \ 1) \ 1) * x. (((x / y) \ 1) \ 1) * y = y * (((y \ x) \ 1) \ 1). x * y != 1 / (1 / x) | K(x \ 1,x) = y. K(x \ 1,x) = K(x \ (x / T(x,y)),x). K(x \ (x / T(x,y)),x) = K(x \ 1,x). K(x \ (x / T(x,y)),x) != z | T(K(x \ 1,x),y) = z. T(K(x \ 1,x),y) = K(x \ 1,x). K(x \ 1,x) / T(x,y) = T(1 / T(x,y),x). T(x,K(y \ 1,y)) = x. x \ y != T(K(z \ 1,z),u) | x * K(z \ 1,z) = y. x * K(y \ 1,y) = K(y \ 1,y) * x. K(x \ 1,x) * y = y * K(x \ 1,x). x * K(y \ 1,y) != z | K(y \ 1,y) * x = z. T(x,K(y,y \ 1)) = x. K(x \ 1,x) * y != z | y * K(x \ 1,x) = z. T(K(x,x \ 1),y) = K(x,x \ 1). x \ y != T(z,K(u,u \ 1)) | x * z = y. K(x,x \ 1) * y = y * K(x,x \ 1). x \ (K(y,y \ 1) * x) = K(y,y \ 1). K(x,x \ 1) * y != z | y * K(x,x \ 1) = z. T(x,y * (1 / y)) = x. x \ y != T(z,u * (1 / u)) | x * z = y. (x * (1 / x)) * y = y * (x * (1 / x)). K(x,x \ 1) * (y \ 1) = y \ K(x,x \ 1). x * (y * K(z,z \ 1)) = L(K(z,z \ 1),y,x) * (x * y). L(K(x,x \ 1),y,z) * (z * y) = z * (y * K(x,x \ 1)). x \ y != z * K(u \ 1,u) | x * (K(u \ 1,u) * z) = y. x * (K(y \ 1,y) * z) = x * (z * K(y \ 1,y)). (x * K(y \ 1,y)) * L(z,x,K(y \ 1,y)) = K(y \ 1,y) * (x * z). x \ y != z * K(u,u \ 1) | x * (K(u,u \ 1) * z) = y. x * (K(y,y \ 1) * z) = x * (z * K(y,y \ 1)). R(x,x \ y,K(z,z \ 1)) \ (K(z,z \ 1) * y) = (x \ y) * K(z,z \ 1). x * (y * K(z,z \ 1)) != u | x * (K(z,z \ 1) * y) = u. (x \ 1) * K(y,y \ 1) = x \ K(y,y \ 1). x * y != z * (((u \ w) \ 1) \ 1) | (z * T(u \ w,w \ u)) / y = x. (x * T(x \ y,y \ x)) / x = ((y / x) \ 1) \ 1. a(x,y * K(z \ 1,z),u) = (x * ((y * K(z \ 1,z)) * u)) \ ((x * (K(z \ 1,z) * y)) * u). (x * ((y * K(z \ 1,z)) * u)) \ ((x * (K(z \ 1,z) * y)) * u) = a(x,y * K(z \ 1,z),u). T(x / y,x \ y) = ((x / y) \ 1) \ 1. 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,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). (1 / x) * R((1 / x) \ y,1 / x,x) = T((1 / x) * T(x * y,1 / x),x). (1 / x) * T(y * x,1 / x) = T((1 / x) * T(x * y,1 / x),x). T((1 / x) * T(x * y,1 / x),x) = (1 / x) * T(y * x,1 / x). (x * y) * (1 / y) = T((1 / y) * T(y * x,1 / y),y). T((1 / x) * T(x * y,1 / x),x) = (y * x) * (1 / x). T((x * y) * (1 / x),x) = (y * x) * (1 / x). T((x * y) * (1 / x),x) != z * (1 / x) | y * x = z. K(x,(y * x) \ y) * x = T(x,(y * x) \ y). x * y != T(z,(u * z) \ u) | ((z \ 1) \ 1) / y = x. ((x \ 1) \ 1) / x = K(x,(y * x) \ y). K(x,(y * x) \ y) = ((x \ 1) \ 1) / x. x != ((y \ 1) \ 1) / y | K(y,y \ 1) = x. K(x,x \ 1) = K(x,(y * x) \ y). K(x,(y * x) \ y) = K(x,x \ 1). K(x \ y,y \ x) = K(x \ y,(x \ y) \ 1). K(x \ y,(x \ y) \ 1) = K(x \ y,y \ x). K(T(x,y),(x * y) \ y) = K(T(x,y),T(x,y) \ 1). K(T(x,y),T(x,y) \ 1) = K(T(x,y),(x * y) \ y). x * y != K(z \ u,(z \ u) \ 1) | x \ K(z \ u,u \ z) = y. (x \ y) \ K(x \ y,y \ x) = 1 / (x \ y). x * K(x \ y,y \ x) = y * (1 / (1 / (y \ x))). T(x,K(y \ z,z \ y)) = x. x * K(y \ z,z \ y) = K(y \ z,z \ y) * x. K(x \ y,y \ x) * z = z * K(x \ y,y \ x). (x * y) * K((x * y) \ x,x \ (x * y)) = x * (1 / (1 / y)). (x * y) * K((x * y) \ x,y) = x * (1 / (1 / y)). a(x,y,z) = T(R(x \ R(x,y,z),x,y * z),x * (y * z)). ((x * y) * z) / (x * (y * z)) = R(x \ R(x,y,z),x,y * z). R(x \ R(x,y,z),x,y * z) = ((x * y) * z) / (x * (y * z)). a(x,y,z) != T(u,x * (y * z)) | R(x \ R(x,y,z),x,y * z) = u. T(x,y * (z * u)) != a(y,z,u) | R(y \ R(y,z,u),y,z * u) = x. R(x,y,z) / x = x \ R(x,y,z). (x \ R(x,y,z)) * x = R(x,y,z). x \ y != z \ R(z,u,w) | x * (R(z,u,w) / z) = y. x * (R(x,y,z) / x) = R(x,y,z). (x \ 1) * (x * R(x \ 1,y,z)) = R(x \ 1,y,z). R(x,y,z) != u * x | x \ R(x,y,z) = u. (1 / x) * y != R(1 / x,x,z) | (z / (x * z)) * x = y. (x / (y * x)) * y = R(1 / y,y,x) / (1 / y). R(1 / x,x,y) / (1 / x) = (y / (x * y)) * x. x \ R(x,y,z) != u | R(x,y,z) / x = u. ((x / (y * x)) * y) * (1 / y) = R(1 / y,y,x). x != R(1 / y,y,z) | z / (y * z) = x. x / (y * x) = ((x / (y * x)) * y) * (1 / y). ((x / (y * x)) * y) * (1 / y) = x / (y * x). x * y != ((z / (u * z)) * u) * (1 / u) | x \ R(1 / u,u,z) = y. R(x \ 1,x,y) \ R(1 / x,x,y) = x * (1 / x). L(x \ 1,x,y / (x * y)) = 1 / x. ((x / (y * x)) * y) * (1 / y) != z | R(y \ 1,y,x) * (y * (1 / y)) = z. R(x \ 1,x,y) * (x * (1 / x)) = y / (x * y). x / (y * x) = R(y \ 1,y,x) * (y * (1 / y)). L((x / y) \ 1,x / y,y / x) = 1 / (x / y). ((x / y) * (y / x)) \ (x / y) = 1 / (y / x). x / (1 / (y / (x * y))) = ((x * y) / y) * (y / (x * y)). ((x * y) / y) * (y / (x * y)) = x / (1 / (y / (x * y))). R(x \ 1,x,y) \ R(1 / x,x,y) != z | K(x,1 / x) = z. x * (y / (x * y)) = x / (1 / (y / (x * y))). x / (1 / (y / (x * y))) = x * (y / (x * y)). K(x \ (x * (y / (x * y))),x) = R(x \ 1,x,y) / (y / (x * y)). K(x \ (x * y),z) != u | K(y,z) = u. K(x / (y * x),y) = R(y \ 1,y,x) / (x / (y * x)). R(x \ 1,x,y) / (y / (x * y)) = K(y / (x * y),x). K(x / (y * x),y) * (x / (y * x)) = R(y \ 1,y,x). (x * ((y * (x \ z)) / y)) / z = (x / z) * ((y * ((x / z) \ 1)) / y). (x / y) * ((z * ((x / y) \ 1)) / z) = (x * ((z * (x \ y)) / z)) / y. T(T(x,y) * T(T(x,y) \ x,x),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). T(L(x,T(x,y) \ x,T(x,y)),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). T(L(x,T(x,y) \ x,T(x,y)),x * (T(x,y) \ x)) = L(x,T(x,y) \ x,x). L(T(x,x * (T(x,y) \ x)),T(x,y) \ x,T(x,y)) = L(x,T(x,y) \ x,x). L(x,T(x,y) \ x,T(x,y)) = L(x,T(x,y) \ x,x). T(x,y) * T(T(x,y) \ x,x) = L(x,T(x,y) \ x,x). x * L(y,T(y,x) \ y,y) = (y * x) * T(K(x,y),y). T(x,y) * T(T(x,y) \ x,x) != z | (T(x,y) \ x) * T(x,y) = z. (T(x,y) \ x) * T(x,y) = L(x,T(x,y) \ x,x). L(x,T(x,y) \ x,x) = (T(x,y) \ x) * T(x,y). x != y * T(z,z \ u) | y * ((z \ u) \ u) = x. (x / y) * (((y / x) \ 1) \ 1) = ((y / x) \ 1) \ R(1 / (y / x),y / x,x). ((x / y) \ 1) \ R(1 / (x / y),x / y,y) = (y / x) * (((x / y) \ 1) \ 1). ((x / y) \ 1) \ (y / x) = (y / x) * (((x / y) \ 1) \ 1). (x / y) * (((y / x) \ 1) \ 1) = ((y / x) \ 1) \ (x / y). ((x \ y) / y) * ((x \ 1) \ 1) = ((y / (x \ y)) \ 1) \ ((x \ y) / y). ((x / (y \ x)) \ 1) \ ((y \ x) / x) = ((y \ x) / x) * ((y \ 1) \ 1). (x \ 1) \ ((x \ y) / y) = ((x \ y) / y) * ((x \ 1) \ 1). ((x \ y) / y) * ((x \ 1) \ 1) = (x \ 1) \ ((x \ y) / y). ((x \ y) / y) * z != (x \ 1) \ ((x \ y) / y) | T(x,(x \ y) / y) = z. T(x,(x \ y) / y) = (x \ 1) \ 1. T(x,y / (x * y)) = (x \ 1) \ 1. T(x / y,y / x) = ((x / y) \ 1) \ 1. x != (y \ z) \ z | T(y,y \ z) = x. T(x,x \ 1) = T(x,y / (x * y)). T(x,y / (x * y)) = T(x,x \ 1). T(x,R(1 / x,x,y)) = (x \ 1) \ 1. K((x / (y * x)) \ 1,x / (y * x)) * (y * x) = T(y,y \ 1) * x. x \ ((x \ 1) \ 1) = x * (1 / x). K(x,1 / x) = x \ ((x \ 1) \ 1). x \ ((x \ 1) \ 1) = K(x,1 / x). x \ ((x \ 1) \ 1) != y | K((x \ 1) \ 1,x \ 1) = y. K((x \ 1) \ 1,x \ 1) = K(x,1 / x). x != ((y / z) \ 1) \ 1 | T(y / z,y \ z) = x. T(x / y,x \ y) = T(x / y,y / x). T(x / y,y / x) = T(x / y,x \ y). T(x / (y * x),(y * x) / x) = (R(1 / y,y,x) \ 1) \ 1. T(T(x / y,x \ y),y) = T(y \ x,y / x). T(T(x / y,z),y) != u | T(y \ x,z) = u. T(x \ y,y \ x) = T(x \ y,x / y). T(x \ y,x / y) = T(x \ y,y \ x). x != T(y \ z,z \ y) | ((y \ z) \ 1) \ 1 = x. ((x \ y) \ 1) \ 1 = T(x \ y,x / y). T(x \ y,x / y) = ((x \ y) \ 1) \ 1. T(x / (y * x),y) = (R(1 / y,y,x) \ 1) \ 1. T(x / (y * x),y) != z | R(y \ 1,y,x) = z. R(x \ 1,x,y) = (R(1 / x,x,y) \ 1) \ 1. (R(1 / x,x,y) \ 1) \ 1 = R(x \ 1,x,y). ((x / (y * x)) \ 1) \ 1 = R(y \ 1,y,x). R(x \ 1,x,y) = ((y / (x * y)) \ 1) \ 1. R(x \ 1,x,y) \ R(1 / x,x,y) = K(1 / R(1 / x,x,y),R(1 / x,x,y)). K(1 / R(1 / x,x,y),R(1 / x,x,y)) = R(x \ 1,x,y) \ R(1 / x,x,y). K(1 / R(1 / x,x,y),R(1 / x,x,y)) != z | K(x,1 / x) = z. x \ ((L(x \ 1,y,z) * x) / L(x \ 1,y,z)) = K(L(x \ 1,y,z),x). x \ L(x,L(x \ 1,y,z),x) = K(L(x \ 1,y,z),x). x \ L(x,(y * x) \ y,x) = K(L(x \ 1,x,y),x). x \ (1 / (1 / x)) = K(L(x \ 1,x,y),x). K(L(x \ 1,x,y),x) = x \ (1 / (1 / x)). x != y \ (1 / (1 / y)) | K(y \ 1,y) = x. K(x \ 1,x) = K(L(x \ 1,x,y),x). K(L(x \ 1,x,y),x) = K(x \ 1,x). K((x * y) \ x,y) = K(y \ 1,y). K(x \ y,y \ x) = K((y \ x) \ 1,y \ x). K((x \ y) \ 1,x \ y) = K(y \ x,x \ y). x != K(y \ 1,y) | K(1 / y,y) = x. K(1 / x,x) = K((y * x) \ y,x). K((x * y) \ x,y) = K(1 / y,y). K((x * y) \ y,T(x,y)) = K(T(x,y) \ 1,T(x,y)). K(T(x,y) \ 1,T(x,y)) = K((x * y) \ y,T(x,y)). (x * y) * K(y \ 1,y) = x * (1 / (1 / y)). (x * y) * K(1 / y,y) = x * (1 / (1 / y)). x != K(y \ (y * z),u) | K(z,u) = x. K(x,(y * x) \ y) = K(((y * x) \ y) \ 1,(y * x) \ y). K(((x * y) \ x) \ 1,(x * y) \ x) = K(y,(x * y) \ x). x \ (y * K(x \ y,y \ x)) = T(x \ y,y \ x). x * K(y \ 1,y) = (x / y) * (1 / (1 / y)). (x / y) * (1 / (1 / y)) = x * K(y \ 1,y). R(x,y,K(1 / y,y)) = x. R(x,y \ 1,K(y,y \ 1)) = x. R(x,y \ 1,y * (1 / y)) = x. x * (1 / y) = (x * (y \ 1)) * (y * (1 / y)). (x * (y \ 1)) * (y * (1 / y)) = x * (1 / y). (x * K(y \ 1,y)) \ (x * (1 / (1 / y))) = y. x * (y * (1 / y)) != z | (y * (1 / y)) * x = z. (x * (1 / x)) * (y * (x \ 1)) = y * (1 / x). (x * (y \ 1)) * K(y,y \ 1) = x * (1 / y). L(x,K(x \ 1,x),y) = x. L(x \ 1,K(x,1 / x),y) = x \ 1. L(x \ 1,K(x,1 / x),y) != z | (y * K(x,1 / x)) \ (y * (1 / x)) = z. (x * K(y,1 / y)) \ (x * (1 / y)) = y \ 1. x \ y != L(z \ 1,K(z,1 / z),u) | x * (z \ 1) = y. (x * K(y,1 / y)) * (y \ 1) = x * (1 / y). K(x,x \ 1) * (y * (x \ 1)) = y * (1 / x). x * (1 / y) != z * K(y,y \ 1) | x * (y \ 1) = z. x * K(y,y \ 1) != z * (1 / y) | z * (y \ 1) = x. ((x * y) * (1 / z)) / ((y * (z \ 1)) * K(z,z \ 1)) = R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)). x / (y \ 1) = (x / (1 / y)) * K(y,1 / y). (x / (1 / y)) * K(y,1 / y) = x / (y \ 1). (x * K(y,y \ 1)) * (y \ 1) = x * (1 / y). x \ (x / (y \ 1)) = T(x \ (x / (1 / y)),1 / y). T(x \ (x / (1 / y)),1 / y) = x \ (x / (y \ 1)). (K(x,x \ 1) * y) * (x \ 1) = y * (1 / x). x \ y != T(z \ u,u \ z) | x * (((z \ u) \ 1) \ 1) = y. x * (((x \ y) \ 1) \ 1) = y * K(x \ y,y \ x). x * K(y \ x,x \ y) = y * (((y \ x) \ 1) \ 1). 1 / (x \ (x / (y \ 1))) = (x \ (x / (1 / y))) \ 1. x * K(y \ z,z \ y) != u | K(y \ z,z \ y) * x = u. K(x \ y,y \ x) * y = x * (((x \ y) \ 1) \ 1). 1 / (x \ (x / ((y \ 1) \ 1))) = (x \ (x / y)) \ 1. ((x \ (x / y)) \ 1) \ 1 = x \ (x / ((y \ 1) \ 1)). 1 / x != (y \ (y / z)) \ 1 | T(y \ (y / z),z) = x. T(x \ (x / y),y) = x \ (x / ((y \ 1) \ 1)). x * (((x \ (x / y)) \ 1) \ 1) = x / ((y \ 1) \ 1). x \ y != z \ (z / ((u \ 1) \ 1)) | x * T(z \ (z / u),u) = y. x * T(x \ (x / y),y) = x / ((y \ 1) \ 1). x * T(x \ (x / y),y) != z | (x / y) * K(y \ 1,y) = z. (x / y) * K(y \ 1,y) = x / ((y \ 1) \ 1). x * K(y \ 1,y) = (x * y) / ((y \ 1) \ 1). (x * y) / ((y \ 1) \ 1) = x * K(y \ 1,y). (x * K(y \ 1,y)) * ((y \ 1) \ 1) = x * y. x * y != z * ((y \ 1) \ 1) | x * K(y \ 1,y) = z. x * ((y \ 1) \ 1) != z * y | z * K(y \ 1,y) = x. x * (((x \ y) \ 1) \ 1) = x / (((y \ x) \ 1) \ 1). x / (((y \ x) \ 1) \ 1) = x * (((x \ y) \ 1) \ 1). (x * y) * K(y,(x * y) \ x) = x * ((y \ 1) \ 1). (x * y) * K(y,y \ 1) = x * ((y \ 1) \ 1). x != y * ((z \ u) \ u) | y * T(z,z \ u) = x. x * T(y,y \ 1) = (x * y) * K(y,y \ 1). (x * y) * K(y,y \ 1) = x * T(y,y \ 1). (x * y) * K(y,y \ 1) != z | (x * K(y,y \ 1)) * y = z. (x * K(y,y \ 1)) * y = x * ((y \ 1) \ 1). (x * y) * (y * (1 / y)) = x * ((y \ 1) \ 1). x * y != (z * K(y \ 1,y)) * ((y \ 1) \ 1) | z = x. x = (x * K(y \ 1,y)) * K(y,y \ 1). (x * K(y \ 1,y)) * K(y,y \ 1) = x. (x * K(y,y \ 1)) * K(y \ 1,y) = x. x * (y \ 1) = (x * (1 / y)) * K(y \ 1,y). (x * (1 / y)) * K(y \ 1,y) = x * (y \ 1). x * K(y,y \ 1) = x / K(y \ 1,y). x / K(y \ 1,y) = x * K(y,y \ 1). x * K(y,y \ 1) != z | K(y,y \ 1) * x = z. K(x,x \ 1) * (y * K(x \ 1,x)) = y. x * K(y,y \ 1) != K(y,y \ 1) * z | z = x. x = (K(y,y \ 1) * x) * K(y \ 1,y). (K(x,x \ 1) * y) * K(x \ 1,x) = y. (K(x \ 1,x) * y) * K(x,x \ 1) = y. (x * (1 / (1 / y))) * K(y,y \ 1) = x * y. K(x \ 1,x) * (y * K(x,x \ 1)) = y. x != y * K(z \ 1,z) | x * K(z,z \ 1) = y. x * K(y \ 1,y) != z | z * K(y,y \ 1) = x. x != y * K(z,z \ 1) | K(z,z \ 1) * y = x. K(x,x \ 1) * y = y / K(x \ 1,x). x / K(y \ 1,y) = K(y,y \ 1) * x. (x * K(y,y \ 1)) * K(y \ 1,y) != z | x = z. x * (y * K(z \ 1,z)) != u | x * (K(z \ 1,z) * y) = u. K(x,x \ 1) * (K(x \ 1,x) * y) = y. x * y != K(z,z \ 1) * (u * K(z \ 1,z)) | x \ u = y. K(x,x \ 1) \ y = K(x \ 1,x) * y. x * y != x * (z * K(u \ 1,u)) | K(u \ 1,u) * z = y. K(x \ 1,x) * (K(x,x \ 1) * y) = y. x * y != (K(z,z \ 1) * u) * K(z \ 1,z) | x \ u = y. K(x \ 1,x) \ y = K(x,x \ 1) * y. x != y * K(z \ 1,z) | K(z,z \ 1) * x = y. x * K(y \ 1,y) != z | K(y,y \ 1) * z = x. x * (y \ 1) = K(y \ 1,y) * (x * (1 / y)). K(x \ 1,x) * (y * (1 / x)) = y * (x \ 1). x * K(y,y \ 1) != z * T(y,y \ 1) | z * y = x. x * y = K(y \ 1,y) * (x * T(y,y \ 1)). K(x \ 1,x) * (y * T(x,x \ 1)) = y * x. x != y * K(z,z \ 1) | K(z \ 1,z) * x = y. x * K(y,y \ 1) != z | K(y \ 1,y) * z = x. K(x \ 1,x) * (y * (x * (1 / x))) = y. K(x \ 1,x) * y != z | K(x,x \ 1) * z = y. (x * (1 / x)) \ y = K(x \ 1,x) * y. K(x \ 1,x) * ((x * (1 / x)) * y) = y. K(x \ 1,x) \ y = (x * (1 / x)) * y. K(x \ 1,x) * (y / (x * y)) = R(x \ 1,x,y). K(x \ 1,x) * y != z | (x * (1 / x)) * z = y. R(x,y \ 1,y) / y = x * (1 / y). x * K(y \ 1,y) = (x / (1 / y)) * (y \ 1). (x / (1 / y)) * (y \ 1) = x * K(y \ 1,y). x * y = R(x / (1 / y),y \ 1,y). R(x / (1 / y),y \ 1,y) = x * y. T(x * (1 / y),y) = y \ R(x,y \ 1,y). x \ R(y,x \ 1,x) = T(y * (1 / x),x). x * K(y,y \ 1) = (x / (1 / (1 / y))) * y. (x / (1 / (1 / y))) * y = x * K(y,y \ 1). (x * (y \ 1)) / (1 / y) = x * K(y \ 1,y). x / (1 / y) = (x / (y \ 1)) * K(y \ 1,y). (x / (y \ 1)) * K(y \ 1,y) = x / (1 / y). K(x,x \ 1) * y = (y / (1 / (1 / x))) * x. (x / (1 / (1 / y))) * y = K(y,y \ 1) * x. R(x * K(y \ 1,y),y \ 1,y) = (x * (y \ 1)) * y. x != R(y \ 1,y,z) | ((z / (y * z)) \ 1) \ 1 = x. ((x / (y * x)) \ 1) \ 1 = K(y \ 1,y) * (x / (y * x)). K(x \ 1,x) * (y / (x * y)) = ((y / (x * y)) \ 1) \ 1. x * (y / (z * y)) != R(z \ 1,z,y) | K(y / (z * y),z) = x. K(x / (y * x),y) = K(y \ 1,y). K(x / y,y / x) = K((y / x) \ 1,y / x). K((x / y) \ 1,x / y) = K(y / x,x / y). K((x / (y * x)) \ 1,x / (y * x)) = K(y,x / (y * x)). K(x / y,y / x) * x = y * T(y \ x,y / x). K(x / y,y / x) * x = y * (((y \ x) \ 1) \ 1). x * y != z * (((z \ y) \ 1) \ 1) | K(z \ y,y \ z) = x. K(x \ y,y \ x) = K(y / x,x / y). K(x / y,y / x) = K(y \ x,x \ y). R(L(x / (y \ 1),z,u) * K(y \ 1,y),y \ 1,y) = ((y \ 1) * L((y \ 1) \ x,z,u)) * y. x * y != (y \ 1) \ 1 | K(y,y \ 1) = x. K(x / (y * x),(x / (y * x)) \ 1) = K(y \ 1,y). K(1 / (x / (y * x)),x / (y * x)) = K(y,x / (y * x)). K(1 / (x / (y * x)),R(1 / y,y,x)) = K(y,x / (y * x)). K(1 / R(1 / x,x,y),R(1 / x,x,y)) = K(x,y / (x * y)). K(x,1 / x) = K(x,y / (x * y)). K(x,y / (x * y)) = K(x,1 / x). x != K(y,1 / y) | K(y,y \ 1) = x. K(x,x \ 1) = K(x,y / (x * y)). K(x,y / (x * y)) = K(x,x \ 1). K(x,y / (x * y)) != z | K((y / (x * y)) \ 1,y / (x * y)) = z. K((x / (y * x)) \ 1,x / (y * x)) = K(y,y \ 1). K(x / y,y / x) = K(x / y,(x / y) \ 1). K(x / y,(x / y) \ 1) = K(x / y,y / x). x != K(y / z,z / y) | K(z \ y,y \ z) = x. K(x \ y,y \ x) = K(y / x,(y / x) \ 1). K(x / y,(x / y) \ 1) = K(y \ x,x \ y). K(x / (y * x),(x / (y * x)) \ 1) != z | K(y \ 1,y) = z. K(x \ 1,x) = K((x * y) \ y,y \ (x * y)). K((x * y) \ y,y \ (x * y)) = K(x \ 1,x). K((x * y) \ y,T(x,y)) = K(x \ 1,x). K((x * y) \ y,T(x,y)) != z | K(T(x,y) \ 1,T(x,y)) = z. K(T(x,y) \ 1,T(x,y)) = K(x \ 1,x). x * y != K(T(z,u) \ 1,T(z,u)) | K(z \ 1,z) / y = x. K(x \ 1,x) / T(x,y) = T(x,y) \ 1. K(x \ 1,x) / T(x,y) != z | T(1 / T(x,y),x) = z. T(1 / T(x,y),x) = T(x,y) \ 1. (T(x,y) \ x) / x = 1 / T(x,y). T(1 / T(x,y),x) != z | x \ (x / T(x,y)) = z. x \ (x / T(x,y)) = T(x,y) \ 1. x \ y != T(1 / T(z,u),z) | x * (T(z,u) \ 1) = y. x * (T(x,y) \ 1) = x / T(x,y). x \ y != T(x,z) \ 1 | T(x,z) \ x = y. T(x,y) \ x = x / T(x,y). x / T(x,y) = T(x,y) \ x. (T(x,y) \ x) \ x = T(x,y). (T(x,y) \ x) * T(x,y) = x. x / y != z \ x | T(z,z \ x) = y. T(T(x,y),T(x,y) \ x) = T(x,y). T((T(x,y) \ x) * (x \ T(x,y)),y) = K(T(x,y),x / T(x,y)). (T(x,y) \ x) * T(x,y) != z | L(x,T(x,y) \ x,x) = z. L(x,T(x,y) \ x,x) = x. x * y = (y * x) * T(K(x,y),y). (x * y) * T(K(y,x),x) = y * x. K(T(x,y),T(x,y) \ x) = 1. K(x,y) = T(K(x,y),y). T(K(x,y),y) = K(x,y). (x * K(y,x)) / x = K(y,x). T(x,K(y,x)) = x. x \ y != T(K(z,u),u) | x * K(z,u) = y. x * K(y,x) = K(y,x) * x. K(x,y) * y = y * K(x,y). x * K(y,x) != z | K(y,x) * x = z. (x * K(y,x)) / x != z | K(y,x) = z. T(x,y) = T(T(x,y),K(z,x)). T(T(x,y),K(z,x)) = T(x,y). T(x,K(x,y)) = x. K(x,y) * T(y,z) != u | T(y,z) * K(x,y) = u. K(x,y) * T(T(y,z),u) = T(T(y,z),u) * K(x,y). T(T(x,y),z) * K(u,x) = K(u,x) * T(T(x,y),z). T(x,y \ T(y,x)) = x. T(x,x \ ((y * x) / y)) = x. T(x,K(T(x,y),z)) = x. T(K(x,y),x) = K(x,y). T(x,y) = T(T(x,y),K(x,z)). T(T(x,y),K(x,z)) = T(x,y). R(x,y,z) = T(R(x,y,z),K(x,u)). T(R(x,y,z),K(x,u)) = R(x,y,z). K(x,y) * T(x,z) = T(x,z) * K(x,y). T(x,y) * K(x,z) = K(x,z) * T(x,y). T(x,y \ ((x * y) / x)) = x. (x \ T(x,y)) * y != z | y * (x \ T(x,y)) = z. T(x / y,K(y \ x,z)) = x / y. K(x,y) * (x \ 1) = x \ K(x,y). x \ ((y * K(x,z)) / x) = (x \ y) * (x \ K(x,z)). (x * K(y,x)) * L(z,x,K(y,x)) = K(y,x) * (x * z). T(K(x,y),T(y,z)) = K(x,y). ((x * y) / x) / y = y \ ((x * y) / x). (K(x,y) * R(T(x,z),u,w)) * v5 = (R(T(x,z),u,w) * K(x,y)) * v5. (R(T(x,y),z,u) * K(x,w)) * v5 = (K(x,w) * R(T(x,y),z,u)) * v5. T(x,T(y,x) \ y) = x. T(T(x,y) \ x,y) = T(x,y) \ x. x \ y != T(z,T(u,z) \ u) | x * z = y. (T(x,y) \ x) * y = y * (T(x,y) \ x). K(x,y) != T(y,z) \ u | K(x,y) * T(y,z) = u. T(K(x,y),R(x,z,u)) = K(x,y). (x \ 1) * K(x,y) = x \ K(x,y). (x \ K(x,y)) * L(z,x \ 1,K(x,y)) = K(x,y) * ((x \ 1) * z). K(K(x,y),T(z,y) \ z) = 1. K(x \ T(x,y),T(z,y) \ z) = 1. x \ K(x,y) != z * K(x,y) | x \ 1 = z. (x \ T(x,y)) \ 1 = 1 / (x \ T(x,y)). 1 / (x \ T(x,y)) = (x \ T(x,y)) \ 1. x \ y != ((z * (u \ 1)) / z) / (u \ 1) | x * (u * ((z * (u \ 1)) / z)) = y. (x \ 1) * (x * ((y * (x \ 1)) / y)) = (y * (x \ 1)) / y. (T(x,y) \ x) * y != z | T(y,R(T(x,y),T(x,y) \ 1,y)) = z. T(x,R(T(y,x),T(y,x) \ 1,x)) = x * (T(y,x) \ y). K((x / y) \ 1,x / y) != z | K(y / x,x / y) = z. K((x * y) / y,y / (x * y)) = K(x,x \ 1). K(x,x \ 1) * (x * y) = T(x,x \ 1) * y. K(x / y,y / x) != z | K(y \ x,x \ y) = z. K(x \ (y * x),(y * x) \ x) = K(y,y \ 1). L(x,y,K(y,y \ 1)) = x. (x * (1 / x)) * (x * y) = T(x,x \ 1) * y. L(x,1 / y,K(y \ 1,y)) = x. L(x,1 / (1 / y),K(y,y \ 1)) = x. L((1 / x) \ y,1 / x,K(x \ 1,x)) != z | K(x \ 1,x) * ((x \ 1) \ y) = z. K(x \ 1,x) * ((x \ 1) \ y) = (1 / x) \ y. L((1 / x) \ y,1 / x,K(x \ 1,x)) != z | (x \ 1) \ (K(x \ 1,x) * y) = z. (x \ 1) \ (K(x \ 1,x) * y) = (1 / x) \ y. (x \ 1) * y = K(x \ 1,x) * ((1 / x) * y). K(x \ 1,x) * ((1 / x) * y) = (x \ 1) * y. x * y = K(x,x \ 1) * ((1 / (1 / x)) * y). K(x,x \ 1) * ((1 / (1 / x)) * y) = x * y. K(T(x,y),(x * y) \ y) = K(x,x \ 1). K(T(x,y),(x * y) \ y) != z | K(T(x,y),T(x,y) \ 1) = z. K(T(x,y),T(x,y) \ 1) = K(x,x \ 1). x * y != K(T(z,u),T(z,u) \ 1) | x \ K(z,z \ 1) = y. T(x,y) \ K(x,x \ 1) = 1 / T(x,y). x * y != T(z,u) \ K(z,z \ 1) | x \ (1 / T(z,u)) = y. x \ (1 / T(x,y)) = T(x,y) \ (1 / x). T(x,y) \ (1 / x) = x \ (1 / T(x,y)). (x * (1 / x)) * y = T(x,x \ 1) * (x \ y). T(x,x \ 1) * (x \ y) = (x * (1 / x)) * y. (x * (1 / x)) * ((1 / x) \ y) = (x \ 1) \ y. K(x \ 1,x) * y != z | z * K(x,x \ 1) = y. ((1 / x) \ y) * K(x,x \ 1) = (x \ 1) \ y. x \ y != (1 / z) \ R(1 / z,u,w) | x * (z * R(z \ 1,u,w)) = y. (x \ 1) * (x * R(x \ 1,y,z)) = K(x \ 1,x) * R(1 / x,y,z). K(x \ 1,x) * R(1 / x,y,z) = (x \ 1) * (x * R(x \ 1,y,z)). (x * (1 / x)) * ((x \ 1) * y) = (1 / x) * y. K(x,x \ 1) * ((x \ 1) * y) = (1 / x) * y. L(x,y,y \ 1) = (1 / y) * (y * x). (1 / x) * (x * y) = L(y,x,x \ 1). ((x \ 1) * y) * K(x,x \ 1) = (1 / x) * y. L(x \ 1,x,x \ 1) != y | 1 / x = y. x * y = (1 / (1 / x)) * (K(x,x \ 1) * y). (1 / (1 / x)) * (K(x,x \ 1) * y) = x * y. T(x,x \ y) * (x \ (((x \ y) \ y) \ z)) != u | x \ z = u. x \ y = (x * (1 / x)) * (((x \ 1) \ 1) \ y). (x * (1 / x)) * (((x \ 1) \ 1) \ y) = x \ y. (x \ 1) * ((x * (1 / x)) * y) = (1 / x) * y. (x * (1 / x)) * (y * (x \ 1)) = (1 / x) * T(y,x \ 1). K(x,x \ 1) * y = (1 / x) * ((x \ 1) \ y). (1 / x) * ((x \ 1) \ y) = K(x,x \ 1) * y. (1 / (1 / x)) * y = x * (K(x \ 1,x) * y). x * (K(x \ 1,x) * y) = (1 / (1 / x)) * y. x \ y != (z * (1 / z)) * (((z \ 1) \ 1) \ u) | x * (z \ u) = y. K(x \ 1,x) * (x \ y) = ((x \ 1) \ 1) \ y. K(x,x \ 1) * (((x \ 1) \ 1) \ y) = x \ y. ((1 / (1 / x)) * y) / (K(x \ 1,x) * y) = x. R(x,K(x \ 1,x),y) = x. R(x,K(x,x \ 1),y) = x. R(1 / x,K(x \ 1,x),y) = 1 / x. R(1 / x,y,z) * u = (R(1 / x,y,z) * K(x \ 1,x)) * (K(x \ 1,x) \ u). (R(1 / x,y,z) * K(x \ 1,x)) * (K(x \ 1,x) \ u) = R(1 / x,y,z) * u. (x * (1 / x)) * (y * (x \ 1)) != z | y * (1 / x) = z. x * (1 / y) = (1 / y) * T(x,y \ 1). (1 / x) * T(y,x \ 1) = y * (1 / x). (1 / x) * y != (x * (1 / x)) * (z * (x \ 1)) | T(z,1 / x) = y. T(x,1 / y) = T(x,y \ 1). x * y != (z * (1 / z)) * (u * (z \ 1)) | x \ (u * (1 / z)) = y. (1 / x) \ (y * (1 / x)) = T(y,x \ 1). T(x,y) = T(x,(y \ 1) \ 1). T(x,(y \ 1) \ 1) = T(x,y). T(x,y \ 1) != (1 / y) \ z | z / (1 / y) = x. T(x,y \ 1) * y = (1 / y) \ x. T(x,T(y,y \ 1)) = T(x,y). T(x,R(y \ 1,y,z)) = T(x,R(1 / y,y,z)). T(x,R(1 / y,y,z)) = T(x,R(y \ 1,y,z)). T(x,R(y \ 1,y,z)) = T(x,z / (y * z)). x \ y != T(z,T(u,u \ 1)) | x * T(z,u) = y. T(x,x \ 1) * T(y,x) = y * T(x,x \ 1). ((1 / x) \ y) / x = T(y,x \ 1). x / y = T((1 / y) * x,y \ 1). T((1 / x) * y,x \ 1) = y / x. x * y != (1 / y) \ T(z,y) | y \ ((1 / y) \ z) = x. x \ ((1 / x) \ y) = T(T(y,x),x \ 1). T(T(x,y),y \ 1) = y \ ((1 / y) \ x). x * y != T((1 / z) * u,z \ 1) | (u / z) / y = x. (x / y) / (y \ 1) = y * ((1 / y) * x). x * (1 / y) != (1 / y) * z | T(x,y \ 1) = z. (1 / x) * y != z * (1 / x) | T(z,x \ 1) = y. T(T(x,y \ 1),y) = (x * (1 / y)) * y. x \ y != (z / u) / (u \ 1) | x * (u * ((1 / u) * z)) = y. x * (x * ((1 / x) * y)) = (x * (y / x)) * x. T(T(x,y),y \ 1) = (x * (1 / y)) * y. x \ T(y,R(x \ 1,x,y)) = y * ((x \ y) / y). x * T(y,y \ 1) = T((y \ 1) \ x,y). T((x \ 1) \ y,x) = y * T(x,x \ 1). x \ y != T((z \ 1) \ u,z) | x * (u * T(z,z \ 1)) = y. x * (y * T(x,x \ 1)) = ((x \ 1) \ y) * x. x * T(y,y \ 1) != T(z,y) | (y \ 1) \ x = z. T(x,y) != z * T(y,y \ 1) | (y \ 1) \ z = x. x != (y * (z / y)) * y | (y * y) * (y \ z) = x. (x * x) * (x \ y) = x * (x * ((1 / x) * y)). x * (x * ((1 / x) * y)) = (x * x) * (x \ y). L((1 / x) * y,x,x) = x \ y. L(1 / x,x,x) = x \ 1. L(x,y,y) = y \ ((1 / y) \ x). x \ ((1 / x) \ y) = L(y,x,x). L(x * (1 / y),y,y) = y \ T(x,y \ 1). x * L(y,x,x) = (1 / x) \ y. x \ ((1 / x) \ y) != z | T(T(y,x),x \ 1) = z. T(T(x,y),y \ 1) = L(x,y,y). x * y != (1 / x) \ (x * z) | (x \ 1) \ z = y. (x \ 1) \ y = L(x * y,x,x). L(x * y,x,x) = (x \ 1) \ y. x \ ((1 / x) \ y) != z | L(y,x,x) = z. ((1 / x) \ y) * y = (x * y) * L(y,x,x). (x * y) * L(y,x,x) = ((1 / x) \ y) * y. (x * y) * (y \ 1) = L(x,y,y). T(T(x,y),y \ 1) != z | (x * (1 / y)) * y = z. (x * (1 / y)) * y = L(x,y,y). x * y != T(T(z,u),u \ 1) | L(z,u,u) / y = x. L(x,y,y) / y = x * (1 / y). L(x,y,y) / (y \ 1) = x * y. x * y != T(T(z,u),u \ 1) | x \ L(z,u,u) = y. (x * y) \ L(x,y,y) = y \ 1. L(x * y,x,x) != z | (x \ 1) \ y = z. x \ y != L(z * u,z,z) | x * ((z \ 1) \ u) = y. (x * x) * ((x \ 1) \ y) = x * (x * (x * y)). L(x,x,x) = (x \ 1) \ 1. L(x,y,y) = (y \ 1) \ (y \ x). (x \ 1) \ (x \ y) = L(y,x,x). 1 / L(x,x,x) = x \ 1. (x \ 1) \ 1 != y | L(x,x,x) = y. x * ((y \ x) \ 1) = L(y,y \ x,y \ x). L(x,x \ y,x \ y) = y * ((x \ y) \ 1). L((x \ 1) \ y,x \ 1,z * x) = L(z,x,x) \ ((z * x) * y). (x \ y) * L(z,x,x) = x \ ((y * (z * x)) / x). x \ ((y * (z * x)) / x) = (x \ y) * L(z,x,x). x * y = L(x / (1 / y),y,y). L(x / (1 / y),y,y) = x * y. R(x,y * (1 / z),z) = ((x * (y * (1 / z))) * z) / L(y,z,z). ((x * (y * (1 / z))) * z) / L(y,z,z) = R(x,y * (1 / z),z). ((1 / x) \ y) * L(z,x,x) = x * ((y * (z * (1 / x))) * x). x * ((y * (z * (1 / x))) * x) = ((1 / x) \ y) * L(z,x,x). (x * y) * (y \ 1) != z | L(x,y,y) = z. (x * (y * z)) / z = z * ((z \ x) * L(y,z,z)). x * ((x \ y) * L(z,x,x)) = (y * (z * x)) / x. x \ 1 != (y * x) \ z | L(y,x,x) = z. (x * y) \ z != y \ 1 | L(x,y,y) = z. x != L(y,z,z) | (y * (1 / z)) * z = x. (x * (1 / y)) * y = (y \ 1) \ (y \ x). (x \ 1) \ (x \ y) = (y * (1 / x)) * x. (x \ 1) * L(y,x,x) = x \ y. (x \ 1) \ y != L(z,x,x) * (u * ((x \ 1) \ 1)) | ((x \ z) * u) / (x \ 1) = y. x * y != L(z / (1 / u),u,u) | (z * u) / y = x. (x * y) / (y \ 1) = (x / (1 / y)) * y. x * y != L(z,y,y) | x / (1 / y) = z. L(x,y,y) != z * y | z / (1 / y) = x. T(x \ y,y \ x) != z | L(x \ y,x \ y,x \ y) = z. T(T(x,y),y \ 1) != z | L(x,y,y) = z. L(x,x,x) != y | (x \ 1) \ 1 = y. L(x,y,y) != z | (y \ 1) \ (y \ x) = z. L(x * (L(x,y,z) * u),L(x,y,z),L(x,y,z)) != w | (L(x,y,z) \ 1) \ (x * u) = w. (x \ 1) \ y != z | L(x * y,x,x) = z. x * (x * (x * y)) != (x * x) * z | (x \ 1) \ y = z. (x * x) * y != x * (x * (x * z)) | (x \ 1) \ z = y. x * a(x \ y,x,x) = (y * (((x \ y) \ 1) * x)) / x. (x * (((y \ x) \ 1) * y)) / y = y * a(y \ x,y,y). x \ ((x * ((y * z) * x)) / x) = (x \ ((1 / x) \ y)) * L(z,x,x). (x \ ((1 / x) \ y)) * L(z,x,x) = x \ ((x * ((y * z) * x)) / x). T((T(x,y) \ x) * (x \ T(x,y)),y) = K(T(x,y),T(x,y) \ x). x != K(T(y,z),T(y,z) \ y) | 1 = x. 1 = T((T(x,y) \ x) * (x \ T(x,y)),y). T((T(x,y) \ x) * (x \ T(x,y)),y) = 1. 1 = (T(x,y) \ x) * (x \ T(x,y)). (T(x,y) \ x) * (x \ T(x,y)) = 1. 1 / (x \ T(x,y)) = T(x,y) \ x. 1 / (x \ T(x,y)) != z | (x \ T(x,y)) \ 1 = z. (x \ T(x,y)) \ 1 = T(x,y) \ x. ((x / y) \ (y \ x)) \ 1 = T(x / y,y) \ (x / y). T(x / y,y) \ (x / y) = ((x / y) \ (y \ x)) \ 1. (x \ y) \ (y / x) = ((y / x) \ (x \ y)) \ 1. ((x / y) \ (y \ x)) \ 1 = (y \ x) \ (x / y). (((x * y) / x) \ y) \ 1 = (x \ (x * y)) \ ((x * y) / x). (x \ (x * y)) \ ((x * y) / x) = (((x * y) / x) \ y) \ 1. x \ ((y * x) / y) = (((y * x) / y) \ x) \ 1. (((x * y) / x) \ y) \ 1 = y \ ((x * y) / x). 1 / (x \ ((y * x) / y)) = ((y * x) / y) \ x. x != (y \ 1) * (y * R(y \ 1,z,u)) | R(y \ 1,z,u) = x. R(x \ 1,y,z) = K(x \ 1,x) * R(1 / x,y,z). K(x \ 1,x) * R(1 / x,y,z) = R(x \ 1,y,z). R(1 / x,y,z) * K(x \ 1,x) = R(x \ 1,y,z). R(x \ 1,y,z) * (K(x \ 1,x) \ u) = R(1 / x,y,z) * u. R(x \ 1,y,z) * (K(x,x \ 1) * u) = R(1 / x,y,z) * u. K(x,x \ 1) * T(K(x,x \ 1) \ y,z) = x * ((1 / x) * T((1 / x) \ (x \ y),z)). x != (1 / y) * (y * z) | L(z,y,1 / y) = x. L(x * T(x \ 1,y),y,1 / y) = ((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) / y. ((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) / y = L(x * T(x \ 1,y),y,1 / y). (x * (y * T(y \ 1,x))) / x = L(y * T(y \ 1,x),x,1 / x). L(x * T(x \ 1,y),y,1 / y) = (y * (x * T(x \ 1,y))) / y. L(K(x,y),y,1 / y) = (y * (((y * x) \ y) * T(((y * x) \ y) \ 1,y))) / y. (x * (((x * y) \ x) * T(((x * y) \ x) \ 1,x))) / x = L(K(y,x),x,1 / x). (x * K(y,x)) / x = L(K(y,x),x,1 / x). L(K(x,y),y,1 / y) = (y * K(x,y)) / y. x != (y * K(z,y)) / y | K(z,y) = x. K(x,y) = L(K(x,y),y,1 / y). L(K(x,y),y,1 / y) = K(x,y). (1 / x) * (x * K(y,x)) = K(y,x). x * y != L(K(z,u),u,1 / u) | K(z,u) / y = x. K(x,y) / (y * K(x,y)) = 1 / y. K(x,x \ 1) * T(K(x,x \ 1) \ y,z) = x * (T((x \ y) * x,z) / x). x != y * (T((y \ z) * y,y) / y) | T(z,y) = x. T(x,y) = K(y,y \ 1) * T(K(y,y \ 1) \ x,y). K(x,x \ 1) * T(K(x,x \ 1) \ y,x) = T(y,x). K(x,x \ 1) * T(K(x \ 1,x) * y,z) = x * (T((x \ y) * x,z) / x). T(x,y) * K(y,y \ 1) = T(x * K(y,y \ 1),y). T(x * K(y,y \ 1),y) = T(x,y) * K(y,y \ 1). T((x / y) * K(y,y \ 1),y) = (y \ x) * K(y,y \ 1). x \ y != T((z / u) * K(u,u \ 1),u) | x * ((u \ z) * K(u,u \ 1)) = y. x * ((x \ y) * K(x,x \ 1)) = y * K(x,x \ 1). x * (y * K(x,x \ 1)) = (x * y) * K(x,x \ 1). (x * y) * K(x,x \ 1) = x * (y * K(x,x \ 1)). R(x,y,K(x,x \ 1)) = x. R(x \ 1,y,K(x \ 1,x)) = x \ 1. ((x \ 1) * y) * z = (R(x \ 1,y,z) * ((y * z) / K(x \ 1,x))) * K(x \ 1,x). (R(x \ 1,y,z) * ((y * z) / K(x \ 1,x))) * K(x \ 1,x) = ((x \ 1) * y) * z. (R(x \ 1,y,z) * (K(x,x \ 1) * (y * z))) * K(x \ 1,x) = ((x \ 1) * y) * z. (R(1 / x,y,z) * (y * z)) * K(x \ 1,x) = ((x \ 1) * y) * z. (((1 / x) * y) * z) * K(x \ 1,x) = ((x \ 1) * y) * z. K(x,x \ 1) * (((x \ 1) * y) * z) = ((1 / x) * y) * z. (((x \ 1) * y) * z) * K(x,x \ 1) = ((1 / x) * y) * z. K(x,x \ 1) * (y * z) = ((1 / x) * ((x \ 1) \ y)) * z. ((1 / x) * ((x \ 1) \ y)) * z = K(x,x \ 1) * (y * z). (K(x,x \ 1) * y) * z = K(x,x \ 1) * (y * z). L(x,y,K(z,z \ 1)) = x. x != K(y,y \ 1) * z | z * K(y,y \ 1) = x. (x * y) * K(z,z \ 1) = (K(z,z \ 1) * x) * y. (K(x,x \ 1) * y) * z = (y * z) * K(x,x \ 1). (K(x,x \ 1) * y) \ (K(x,x \ 1) * z) = y \ z. a(x,K(y,y \ 1),z) = 1. L(x,y,K(z \ 1,z)) = x. L(x,K(y,y \ 1),z) = x. K(x \ 1,x) * (y * z) = (K(x \ 1,x) * y) * z. (K(x \ 1,x) * y) * z = K(x \ 1,x) * (y * z). L(x \ y,x,z) != u | (z * x) \ (z * y) = u. (K(x \ 1,x) * y) \ (K(x \ 1,x) * z) = y \ z. L(x,y,K(z \ 1,z)) != u | x = u. (K(x \ 1,x) * y) / z = K(x \ 1,x) * (y / z). (x * K(y \ 1,y)) * z = K(y \ 1,y) * (x * z). a(x,y,K(z,z \ 1)) = 1. x * (K(y,y \ 1) * z) = (x * K(y,y \ 1)) * z. (x * K(y,y \ 1)) * z = x * (K(y,y \ 1) * z). L(x,K(y \ 1,y),z) = x. x / y = (x / (K(z,z \ 1) * y)) * K(z,z \ 1). (x / (K(y,y \ 1) * z)) * K(y,y \ 1) = x / z. L(K(x,x \ 1),y,z) = K(x,x \ 1). x * (K(y \ 1,y) * z) = (x * K(y \ 1,y)) * z. (x * K(y \ 1,y)) * z = x * (K(y \ 1,y) * z). (x * (K(y \ 1,y) * z)) / z = x * K(y \ 1,y). x \ y != L(K(z,z \ 1),u,w) | x * K(z,z \ 1) = y. (x * y) * K(z,z \ 1) = x * (y * K(z,z \ 1)). K(x,x \ 1) * (y * z) = y * (z * K(x,x \ 1)). (x * K(y,y \ 1)) / z = K(y,y \ 1) * (x / z). (K(x,x \ 1) * y) \ z = y \ (z * K(x \ 1,x)). x \ (K(y,y \ 1) * z) = (K(y \ 1,y) * x) \ z. (K(x \ 1,x) * y) \ z = y \ (K(x,x \ 1) * z). R(K(x \ 1,x) * y,z,u) = ((K(x \ 1,x) * (y * z)) * u) / (z * u). ((K(x \ 1,x) * (y * z)) * u) / (z * u) = R(K(x \ 1,x) * y,z,u). (x * (y \ 1)) * z = K(y \ 1,y) * ((x * (1 / y)) * z). K(x \ 1,x) * ((y * (1 / x)) * z) = (y * (x \ 1)) * z. (K(x \ 1,x) * y) \ z = y \ ((x * (1 / x)) * z). ((x \ 1) * y) \ (K(x \ 1,x) * z) = ((1 / x) * y) \ z. T(K(x \ 1,x) * (y / z),z) = z \ (K(x \ 1,x) * y). a(x * K(y \ 1,y),z,u) = (K(y \ 1,y) * (x * (z * u))) \ (((x * K(y \ 1,y)) * z) * u). (K(x \ 1,x) * (y * (z * u))) \ (((y * K(x \ 1,x)) * z) * u) = a(y * K(x \ 1,x),z,u). L(x,y,z * K(u \ 1,u)) = (K(u \ 1,u) * (z * y)) \ ((z * K(u \ 1,u)) * (y * x)). (K(x \ 1,x) * (y * z)) \ ((y * K(x \ 1,x)) * (z * u)) = L(u,z,y * K(x \ 1,x)). x != y * (K(z,z \ 1) * u) | y * (u * K(z,z \ 1)) = x. x * (y * K(z,z \ 1)) = (x * K(z,z \ 1)) * y. (x * K(y,y \ 1)) * z = x * (z * K(y,y \ 1)). (K(x,x \ 1) * y) * z = y * (K(x,x \ 1) * z). (x \ K(y,y \ 1)) * z = (x \ 1) * (K(y,y \ 1) * z). (x \ 1) * (K(y,y \ 1) * z) = (x \ K(y,y \ 1)) * z. K(x \ 1,x) * (y / z) = y / (K(x,x \ 1) * z). x / (K(y,y \ 1) * z) = K(y \ 1,y) * (x / z). (x * K(y \ 1,y)) * z != u | K(y \ 1,y) * (x * z) = u. K(x \ 1,x) * (y * z) = y * (K(x \ 1,x) * z). x \ y != (z * (K(u \ 1,u) * w)) / w | x * (z * K(u \ 1,u)) = y. x * (y * K(z \ 1,z)) = (x * y) * K(z \ 1,z). (x * y) * K(z \ 1,z) = x * (y * K(z \ 1,z)). (x * y) / (K(z,z \ 1) * y) = x * K(z \ 1,z). R(x,y,K(z,z \ 1)) = x. R(x,y,K(z \ 1,z)) = x. x \ (K(y,y \ 1) * z) = (x \ z) * K(y,y \ 1). R(x,y,L(K(z,z \ 1),u,w)) = x. x \ (y * K(z \ 1,z)) = (x \ y) * K(z \ 1,z). (x * y) \ ((x * (y * z)) * K(u \ 1,u)) = L(z,y,x) * K(u \ 1,u). R(x,y,L(K(z \ 1,z),u,w)) = x. x != y * (z * K(u,u \ 1)) | y * (K(u,u \ 1) * z) = x. x * (K(y,y \ 1) * z) = K(y,y \ 1) * (x * z). K(x,x \ 1) * (y * z) = y * (K(x,x \ 1) * z). (x * y) * K(z \ 1,z) = x * (K(z \ 1,z) * y). x \ (K(y \ 1,y) * z) = K(y \ 1,y) * (x \ z). x * y != z * (K(u \ 1,u) * w) | x \ (K(u \ 1,u) * (z * w)) = y. ((K(x \ 1,x) * y) * z) \ (K(x \ 1,x) * (z * y)) = K(z,K(x \ 1,x) * y). a(x,y,K(z \ 1,z) * u) = (x * (K(z \ 1,z) * (y * u))) \ ((x * y) * (K(z \ 1,z) * u)). (x * (K(y \ 1,y) * (z * u))) \ ((x * z) * (K(y \ 1,y) * u)) = a(x,z,K(y \ 1,y) * u). K(K(x \ 1,x) * y,z) = (K(x \ 1,x) * (z * y)) \ ((K(x \ 1,x) * y) * z). (K(x \ 1,x) * (y * z)) \ ((K(x \ 1,x) * z) * y) = K(K(x \ 1,x) * z,y). K(x \ 1,x) * (y * (K(x,x \ 1) * z)) = y * z. K(x \ 1,x) * (y * (z * (x * (1 / x)))) = y * z. (x * (K(y \ 1,y) * z)) \ u = (x * z) \ ((y * (1 / y)) * u). R(x * K(y \ 1,y),K(y,y \ 1) * z,u) = ((x * z) * u) / ((K(y,y \ 1) * z) * u). x \ (K(y,y \ 1) * z) != u | (K(y \ 1,y) * x) \ z = u. (K(x \ 1,x) * y) \ z = (y \ z) * K(x,x \ 1). x != y * K(z \ 1,z) | K(z \ 1,z) * y = x. K(x \ 1,x) * (y \ z) = y \ (z * K(x \ 1,x)). x \ (y * K(z \ 1,z)) = K(z \ 1,z) * (x \ y). x \ (y \ 1) = (x \ (1 / y)) * K(y \ 1,y). (x \ (1 / y)) * K(y \ 1,y) = x \ (y \ 1). x \ (y * K(z \ 1,z)) != u | K(z \ 1,z) * (x \ y) = u. K(x,x \ 1) * (y \ (x \ 1)) = y \ (1 / x). x / (y * (K(z,z \ 1) * u)) = K(z \ 1,z) * (x / (y * u)). (x * (K(y \ 1,y) * z)) * u = (x * z) * (K(y \ 1,y) * u). x \ (K(y \ 1,y) * z) != u | (x \ z) * K(y \ 1,y) = u. x \ y = K(z \ 1,z) * (x \ ((z * (1 / z)) * y)). K(x \ 1,x) * (y \ ((x * (1 / x)) * z)) = y \ z. x \ (y * K(z \ 1,z)) != u | (K(z,z \ 1) * x) \ y = u. (K(x,x \ 1) * y) \ z = K(x \ 1,x) * (y \ z). (x \ 1) \ ((y * (x \ 1)) * z) = (1 / x) \ ((y * (1 / x)) * z). (1 / x) \ ((y * (1 / x)) * z) = (x \ 1) \ ((y * (x \ 1)) * z). K(x,1 / y) = ((y \ 1) * x) \ (K(y \ 1,y) * (x * (1 / y))). ((x \ 1) * y) \ (K(x \ 1,x) * (y * (1 / x))) = K(y,1 / x). x != y \ (K(z \ 1,z) * u) | K(z \ 1,z) * (y \ u) = x. K(x \ 1,x) * (y \ z) = T(K(x \ 1,x) * (z / y),y). T(K(x \ 1,x) * (y / z),z) = K(x \ 1,x) * (z \ y). T(K(x \ 1,x) * y,z) = K(x \ 1,x) * (z \ (y * z)). K(x \ 1,x) * (y \ (z * y)) = T(K(x \ 1,x) * z,y). K(x \ 1,x) * T(y,z) = T(K(x \ 1,x) * y,z). T(K(x \ 1,x) * y,z) = K(x \ 1,x) * T(y,z). x \ y != K(z \ 1,z) * T(u,w) | x * T(K(z \ 1,z) * u,w) = y. K(x,x \ 1) * T(K(x \ 1,x) * y,z) = T(y,z). K(x,x \ 1) * T(K(x \ 1,x) * y,z) != u | x * (T((x \ y) * x,z) / x) = u. x * (T((x \ y) * x,z) / x) = T(y,z). x * y != K(z,z \ 1) * T(K(z \ 1,z) * u,w) | x \ T(u,w) = y. x \ T(y,z) = T((x \ y) * x,z) / x. T((x \ y) * x,z) / x = x \ T(y,z). x * (T(x,y) / x) = T(x,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(x,y) = T(x,y) / x. T(x,y) / x = x \ T(x,y). (x \ T(x,y)) * x = T(x,y). (x \ 1) * (x * T(x \ 1,y)) = T(x \ 1,y). x \ ((y * x) / y) = y \ T(y,R(x,x \ 1,y)). x \ T(x,R(y,y \ 1,x)) = y \ ((x * y) / x). x * T(x \ 1,y) = (x \ 1) \ T(x \ 1,y). (x \ 1) \ T(x \ 1,y) = x * T(x \ 1,y). (x \ T(x,y)) * (1 / T(x,y)) = 1 / x. (x \ T(x,x / (x * y))) * x != z | T(x,R(1 / y,y,x)) = z. T(x,R(1 / y,y,x)) = T(x,x / (x * y)). T(x,y) * z != (x \ T(x,y)) * (x * u) | L(u,x,x \ T(x,y)) = z. T(x * y,z) / y = y \ T(y * x,z). T(x * y,z) = (y \ T(y * x,z)) * y. (x \ T(x * y,z)) * x = T(y * x,z). T((x \ y) * x,z) != u * x | x \ T(y,z) = u. T((x \ (y / z)) * x,z) = (x \ (z \ y)) * x. x \ y != T(z * (u / z),w) | x * (z * (T(u,w) / z)) = y. x * (y * (T(z,x) / y)) = (y * (z / y)) * x. T(x * (y / x),z) != x * u | T(y,z) / x = u. T(x \ T(x * y,z),x) = x \ T(y * x,z). T(x,R(1 / y,y,z)) != u | T(x,R(y \ 1,y,z)) = u. T(x,R(y \ 1,y,x)) = T(x,x / (x * y)). (x * T(x \ 1,y)) \ 1 = T(x \ 1,y) \ (x \ 1). (x * ((y \ (x \ z)) * y)) / x = (y \ (z / x)) * y. x \ y != T((z \ (u / w)) * z,w) | x * ((z \ (w \ u)) * z) = y. x * ((y \ (x \ z)) * y) = ((y \ (z / x)) * y) * x. ((x \ (y / z)) * x) * z = z * ((x \ (z \ y)) * x). x * (y * ((x \ z) / y)) = (y * ((z / x) / y)) * x. (x * ((y / z) / x)) * z = z * (x * ((z \ y) / x)). x * (y * (z / y)) = (y * (((x * z) / x) / y)) * x. (x * (((y * z) / y) / x)) * y = y * (x * (z / x)). 1 / (x \ ((y * x) / y)) = T(y,R(x,x \ 1,y)) \ y. T(x,R(y,y \ 1,x)) \ x = 1 / (y \ ((x * y) / x)). (x \ (y * T(y \ x,z))) \ 1 = T((x \ y) \ 1,z) \ ((x \ y) \ 1). T((x \ y) \ 1,z) \ ((x \ y) \ 1) = (x \ (y * T(y \ x,z))) \ 1. ((x \ (y / z)) * x) * z != u | z * ((x \ (z \ y)) * x) = u. (x * (y * z)) / x = (z \ ((x * (z * y)) / x)) * z. (x \ ((y * (x * z)) / y)) * x = (y * (z * x)) / y. (x * y) * T((x * y) \ z,x) = y * ((x \ (y \ z)) * x). T(x,y * x) * y = (x * (x * y)) / x. (x * (x * y)) / x = T(x,y * x) * y. x * y != T(z,u * z) * u | ((z * (z * u)) / z) / y = x. ((x * (x * y)) / x) / y = T(x,y * x). T(T(x,y * x) * y,x) = x * y. T(x,y) * T(y,x) = x * y. x \ y != T(T(z,u * z) * u,z) | x * (z * u) = y. x * (x * y) = T(x,y) * (y * x). T(x,y) * (y * x) = x * (x * y). (x / T(y,x)) * y = T(x,y). x * (T(x,y) \ y) = T(y,x). T(x,y) * z != x * y | T(y,T(x,y)) = z. T(x,T(y,x)) = T(x,y). T(x,y) \ (x * y) = T(y,x). x \ y != T(z,u) * T(u,z) | x * (z * u) = y. R(x,T(y,z),T(z,y)) * (y * z) = (x * T(y,z)) * T(z,y). T(x,y / x) * (x \ y) = x * (y / x). ((x \ y) \ y) \ y = T(x \ y,x). T(x \ y,x) = ((x \ y) \ y) \ y. T(x,L(T(y,x),z,u)) = T(x,L(y,z,u)). T(x,x \ y) = T(x,y / x). T(x,y / x) = T(x,x \ y). T(x \ 1,y * (x \ 1)) = T(x \ 1,x \ y). T(x,y) * R(T(y,x),z,u) = R(y,z,u) * T(x,y). T(x,T(y,y * x)) = T(x,L(y,x,y)). T(x \ y,x) != z | ((x \ y) \ y) \ y = z. T(x,y) / y = x / T(y,x). x * (y \ 1) != T(z,y \ 1) | y * z = x. x * y = y / T(x \ 1,y). x / T(y \ 1,x) = y * x. x * y != T(z,y) | (1 / y) * z = x. (1 / x) * y = y / T(x,y). x / T(y,x) = (1 / y) * x. T(x,y) / y != z | x / T(y,x) = z. x \ T(y,x) = T(x,y) \ y. T(x,y) \ y = x \ T(y,x). x * y != T(z,1 / u) | x \ T(z,u \ 1) = y. (1 / x) \ T(y,x \ 1) = T(1 / x,y) \ y. T(1 / x,y) \ y = (1 / x) \ T(y,x \ 1). x \ T(y,x) != z | T(x,y) \ y = z. x \ T(y,x) != z * u | z \ (T(x,y) \ y) = u. (x \ (y * x)) \ (y * x) = T(x,y). T(x,y) = (x \ (y * x)) \ (y * x). (x \ y) \ y = T(x,y / x). T(x,y / x) = (x \ y) \ y. (x * y) \ (y * T(x,x \ y)) = a(x,y / x,x). x * y != T(z,u) / u | T(x,y) = y \ (z / T(u,z)). T(1 / x,y) = y \ (y / T(x,y)). x \ (x / T(y,x)) = T(1 / y,x). (T(x,y) / y) \ x = T(y,x). x * y != T(z,u) / u | (z / T(u,z)) / y = x. (x / T(y,x)) / x = 1 / y. x \ y = T((x / y) \ 1,y). T((x / y) \ 1,y) = x \ y. (x * y) \ y = T(x \ 1,y). T(x \ 1,y) = (x * y) \ y. (x * y) * T(x \ 1,y) = y. (x * y) \ y != z | T(x \ 1,y) = z. ((1 / x) * y) \ y = T(x,y). T(x,y) = ((1 / x) * y) \ y. ((x / T(y,x)) * z) * y = y \ (x * (z * y)). T(x,y) * L(x \ T(y,x),z,u) = T(x * L(x \ y,z,u),y). T(x,x * y) * R(x \ T(x * y,x),z,u) = T(x * R(y,z,u),x * y). ((x / y) * ((y \ x) \ x)) / (x / y) = y. (x * (y / x)) * x = y * ((x \ y) \ y). x / T(y,x) != z | T(x,y) / y = z. (x / (x * L(x \ 1,y,z))) / x = 1 / (x * L(x \ 1,y,z)). T(x,1 / y) != z | T(x,y \ 1) = z. T((x / (1 / y)) \ 1,y \ 1) = x \ (1 / y). x \ y != T((z / u) \ 1,u) | x * (z \ u) = y. x * (y \ x) = ((y / x) \ 1) * x. ((x / y) \ 1) * y = y * (x \ y). x \ y != T(z,y) | (x / y) \ 1 = z. T(x,y) != z \ y | (z / y) \ 1 = x. (x \ y) * ((x / y) \ 1) = ((x / y) \ 1) * T((x / y) \ 1,y). ((x / y) \ 1) * T((x / y) \ 1,y) = (x \ y) * ((x / y) \ 1). T(((1 / x) * y) \ 1,x) = T(y,x) \ x. (x \ y) * (y \ 1) = y \ ((x / y) \ 1). x \ ((y / x) \ 1) = (y \ x) * (x \ 1). T(T(x,y) \ 1,y \ 1) = (y \ x) \ (y \ 1). T(L(x / y,z,u) \ 1,y) = (y * L(y \ x,z,u)) \ y. T(T(x,y \ 1) \ 1,y) = ((1 / y) \ x) \ y. T(x \ 1,y) \ z = ((x * y) \ y) \ z. (x * y) \ y != T(z,y) | x \ 1 = z. T(x,y) != (z * y) \ y | z \ 1 = x. x \ (y / x) = y * (T(x \ 1,y) * (x \ 1)). x * (T(y \ 1,x) * (y \ 1)) = y \ (x / y). T(x \ y,x) != z \ y | (x \ y) \ y = z. T(x,y \ 1) \ (y \ 1) != z | T((y * x) \ 1,y \ 1) = z. (1 / x) * y != z | T(y,x) / x = z. T(x,y \ 1) != T(z,y \ 1) \ (y \ 1) | (y * z) \ 1 = x. ((x \ y) \ y) * (x \ y) = x * (y / x). ((x / y) * ((y \ z) \ z)) / (x / y) != u | T(x / (x / y),y \ z) = u. T(x / (x / y),y \ x) = y. ((x \ y) * x) / (x \ y) = y / (y / x). x != T(y,x \ z) | z / (z / x) = y. T(x,y \ z) != y | z / (z / y) = x. x * y != ((z \ u) \ u) * (z \ u) | x \ (z * (u / z)) = y. x \ (y * (x / y)) = K((y \ x) \ x,y \ x). K((x \ y) \ y,x \ y) = y \ (x * (y / x)). (x * (y \ x)) / (x / y) = (y \ x) * y. ((x \ y) * x) * (y / x) = y * (x \ y). x * (y \ T(1 / y,x)) = y \ (x / y). K(x,y / x) = K((x \ y) \ y,x \ y). K((x \ y) \ y,x \ y) = K(x,y / x). K(T(x,x \ y),x \ y) = K(x,y / x). K(T(x,y),x \ (x * y)) = K(x,(x * y) / x). K(T(x,y),y) = K(x,(x * y) / x). (x * y) * K(x,(x * y) / x) = T(x,y) * y. x * ((x * y) / x) = T(x,y) * y. T(x,y) * y = x * ((x * y) / x). x * y != (z * u) * K(z,(z * u) / z) | x \ (T(z,u) * u) = y. x \ (T(x,y) * y) = (x * y) / x. x * y != z * ((z * y) / z) | T(z,z / (z / y)) = x. T(x,x / (x / y)) = T(x,y). T(x,x / (x / y)) != z | ((x * y) / x) / (x \ y) = z. ((x * y) / x) / (x \ y) = T(x,y). T(x,y) = ((x * y) / x) / (x \ y). T(x / y,T(y,x)) = y \ x. T(x,x * y) = ((x * (x * y)) / x) / y. ((x * (x * y)) / x) / y = T(x,x * y). T(x,T(y,x * y)) = y \ (x * y). T(x,y) = T(x,T(y,x * y)). T(x,T(y,x * y)) = T(x,y). ((x * (x * y)) / x) / y != z | T(x,y * x) = z. T(x,y * x) = T(x,x * y). x \ y != T(z,u * z) | x * T(z,z * u) = y. x * T(y,y * x) = (1 / y) \ x. T(x,(x \ y) * x) = T(x,y). T(x,y) = T(x,x * (y / x)). T(x,x * (y / x)) = T(x,y). (x * T(y,x * y)) / x = L(y,x,y). R(T(x,x * y),y,x) = T(x,y). T(x * T(y,y * x),y) = x * y. x * L(T(y,x * y),z,u) = L(L(y,x,y),z,u) * x. T(x,T(y,y * x)) = T(x,y). R(T(x,y),x \ y,x) = (x \ y) \ y. T(x,T(x,y) * y) = T(x,x * y). T(x,T(y,y * x)) != z | T(x,L(y,x,y)) = z. T(x,L(y,x,y)) = T(x,y). R(L(x,y,x),y,x) = x. R(T(x,T(x * y,x)),y,x) = T(x,y). L(x,y,(y * x) / y) = L(x,y,x). L(R(x,y,x),y,x) = x. x != R(y,z,x) | L(x,z,x) = y. R(x,y,z) != z | L(z,y,z) = x. R(x,y,T(x,y)) = R(x,y,x). x \ y != R(z,u,T(z,u)) | x * R(z,u,z) = y. x * R(y,x,y) = T(y * x,y). R(x,T(y,x),T(x,y)) = R(x,T(y,x),x). L(R(x,y,x),y,z) = (z * y) \ (z * T(x * y,x)). (x * y) \ (x * T(z * y,z)) = L(R(z,y,z),y,x). x \ T(y * x,y) != z | R(y,x,y) = z. T(x * y,x) * T(x,y) = (x * y) * R(x,y,x). T(L(x,y,x) * y,x) = y * x. x != T(y,y * z) | T(y,z * y) = x. T(x,y * x) = T(x,T(x,y) * y). T(x,T(x,y) * y) = T(x,y * x). L(x \ y,x,(z * (z \ y)) / x) != u | T(y / x,y) = u. T(x / y,x) = L(y \ x,y,y \ x). L(x \ y,x,x \ y) = T(y / x,y). (x * T(y,x * y)) / x = L(y,x,T(y,x)). x \ y != R(T(z,u),z \ u,z) | x * ((z \ u) \ u) = y. x * ((y \ x) \ x) = R(y,y \ x,y) * x. R(x,x \ y,x) * y = y * ((x \ y) \ y). x \ y != R(T(z,T(z * u,z)),u,z) | x * T(z,u) = y. T(x * y,x) * T(x,y) = R(x,y,x) * T(x * y,x). R(x,y,x) * T(x * y,x) = T(x * y,x) * T(x,y). (x * T(y,x * y)) / x != z | L(y,x,y) = z. L(x,y,x) = L(x,y,T(x,y)). L(x,y,T(x,y)) = L(x,y,x). x != y * ((z \ y) \ y) | (z * (y / z)) * z = x. (x * (y / x)) * x = R(x,x \ y,x) * y. R(x,x \ y,x) * y = (x * (y / x)) * x. x * y != (z * (y / u)) * u | R(z,y / u,u) = x. R(x,y / x,x) = R(x,x \ y,x). R(x,(x * y) / x,x) = R(x,y,x). R(x,y,x) = R(x,T(y,x),x). R(x,T(y,x),x) = R(x,y,x). R(x,T(y,x),x) != z | R(x,T(y,x),T(x,y)) = z. R(x,T(y,x),T(x,y)) = R(x,y,x). R(R(x,y,x),z,u) = R(R(x,z,u),T(y,x),T(x,y)). R(R(x,y,z),T(u,x),T(x,u)) = R(R(x,u,x),y,z). T(x,y) * T(R(y,z,u),x) = R(y,z,u) * T(x,y). x != 1 / (y \ ((z * y) / z)) | ((z * y) / z) \ y = x. ((x * y) / x) \ y = T(x,R(y,y \ 1,x)) \ x. T(x,R(y,y \ 1,x)) \ x = ((x * y) / x) \ y. T(x,R(T(y,x),T(y,x) \ 1,x)) \ x = y \ T(y,x). T(L(L(x,y,x),z,u) * y,x) = L(x,z,u) * T(y,x). x != T(y * z,y) * T(y,z) | (y * z) * R(y,z,y) = x. (x * y) * R(x,y,x) = R(x,y,x) * T(x * y,x). R(x,y,x) * T(x * y,x) = (x * y) * R(x,y,x). (R(x,y,x) * y) \ ((x * y) * R(x,y,x)) = L(R(x,y,x),y,R(x,y,x)). (x * (T(y,x) \ y)) \ x = y \ T(y,x). x * (y \ T(y,z)) != z | z * (T(y,z) \ y) = x. x \ (y * (K(z \ 1,z) * u)) != w | K(z \ 1,z) * (x \ (y * u)) = w. (x * y) * T((x * y) \ z,x) != u | y * ((x \ (y \ z)) * x) = u. R(R(x,y,x),z,u) * (y * x) = (R(x,z,u) * T(y,x)) * T(x,y). (R(x,y,z) * T(u,x)) * T(x,u) = R(R(x,u,x),y,z) * (u * x). x * y != (z * u) * (K(w \ 1,w) * v5) | x \ ((z * (K(w \ 1,w) * u)) * v5) = y. (x * (y * (K(z \ 1,z) * u))) \ ((x * (K(z \ 1,z) * y)) * u) = a(x,y,K(z \ 1,z) * u). ((x \ 1) * y) \ (y * (x \ 1)) = K(y,1 / x). K(x,y \ 1) = K(x,1 / y). K(x,1 / y) = K(x,y \ 1). K(x,y) = K(x,(y \ 1) \ 1). K(x,(y \ 1) \ 1) = K(x,y). (1 / x) * K(y,1 / x) = K(y,x \ 1) / x. x != R(R(y,z,u),w,v5) * (z * u) | (R(y,w,v5) * z) * u = x. (R(x,y,z) * u) * x = (R(x,y,z) * T(u,x)) * T(x,u). (R(x,y,z) * T(u,x)) * T(x,u) = (R(x,y,z) * u) * x. T(x * y,x) * T(x,y) = (R(x,y,x) * y) * x. T(x * y,x) * T(x,y) != z | (x * y) * R(x,y,x) = z. (x * y) * R(x,y,x) = (R(x,y,x) * y) * x. (R(x,y,x) * y) * x = (x * y) * R(x,y,x). (R(x,y,x) * y) \ ((x * y) * R(x,y,x)) != z | x = z. T((x \ y) \ 1,z) \ ((x \ y) \ 1) != u \ 1 | x \ (y * T(y \ x,z)) = u. (K(x \ 1,x) * ((y * z) * u)) / (z * u) = R(K(x \ 1,x) * y,z,u). (x * y) \ (x * ((y * z) * K(u \ 1,u))) = L(z,y,x) * K(u \ 1,u). x = L(R(x,y,x),y,R(x,y,x)). L(R(x,y,x),y,R(x,y,x)) = x. (K(x \ 1,x) * y) / z != u | K(x \ 1,x) * (y / z) = u. K(x \ 1,x) * (((y * z) * u) / (z * u)) = R(K(x \ 1,x) * y,z,u). (x * y) \ (x * (y * (z * K(u \ 1,u)))) = L(z,y,x) * K(u \ 1,u). K(x \ 1,x) * R(y,z,u) = R(K(x \ 1,x) * y,z,u). R(K(x \ 1,x) * y,z,u) = K(x \ 1,x) * R(y,z,u). x \ y != K(z \ 1,z) * R(u,w,v5) | x * R(K(z \ 1,z) * u,w,v5) = y. (x * (1 / x)) * R(K(x \ 1,x) * y,z,u) = R(y,z,u). R(x * K(y \ 1,y),z,u) = K(y \ 1,y) * R(x,z,u). (x * (1 / x)) * R(y,z,u) = R((x * (1 / x)) * y,z,u). R((x * (1 / x)) * y,z,u) = (x * (1 / x)) * R(y,z,u). R(x * K(y \ 1,y),z,u) != K(y \ 1,y) * w | R(x,z,u) = w. (x \ 1) * R((x * (1 / x)) * y,z,u) = (1 / x) * R(y,z,u). (x \ 1) * R((x \ 1) \ y,z,u) = (1 / x) * R((1 / x) \ y,z,u). (1 / x) * R((1 / x) \ y,z,u) = (x \ 1) * R((x \ 1) \ y,z,u). x != (y \ 1) * R((y \ 1) \ z,u,w) | y \ R(y * z,u,w) = x. x \ R(x * y,z,u) = (1 / x) * R((1 / x) \ y,z,u). (1 / x) * R((1 / x) \ y,z,u) = x \ R(x * y,z,u). (1 / x) * R((1 / x) \ y,z,u) != w | R(y * x,z,u) / x = w. R(x * y,z,u) / y = y \ R(y * x,z,u). x \ y != (1 / z) * R((1 / z) \ u,w,v5) | x * (R(u * z,w,v5) / z) = y. x * (R(y * x,z,u) / x) = R(x * y,z,u). (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 \ 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,y,z) \ x) * R(x,y,z). (R(x,y,z) \ x) * R(x,y,z) = x. R((x \ (y / z)) * x,z,z \ 1) = (x \ (y * (z \ 1))) * x. R((x \ (y / (1 / z))) * x,z \ 1,z) = (x \ (y * z)) * x. x / R(x,y,z) = R(x,y,z) \ x. x * y != R((z \ (u / w)) * z,w,w \ 1) | ((z \ (u * (w \ 1))) * z) / y = x. ((x \ (y * (z \ 1))) * x) / (z \ 1) = ((x \ (y / z)) * x) * z. ((x \ (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 / (1 / z))) * x) * (1 / z) != u | x * (T((x \ y) * z,x) / z) = u. 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. L(x * K(y \ 1,y),z,u) = L(x,z,u) * K(y \ 1,y). (K(x \ 1,x) * (y * z)) \ (K(x \ 1,x) * (z * y)) = K(z,K(x \ 1,x) * y). (K(x \ 1,x) * (y * z)) \ (K(x \ 1,x) * (z * y)) = K(K(x \ 1,x) * z,y). ((K(x \ 1,x) * (y * z)) \ (z * y)) * K(x \ 1,x) = K(K(x \ 1,x) * z,y). (K(x \ 1,x) * (y * z)) \ (K(x \ 1,x) * (z * y)) != u | K(z,K(x \ 1,x) * y) = u. K(x,K(y \ 1,y) * z) = K(K(y \ 1,y) * x,z). K(K(x \ 1,x) * y,z) = K(y,K(x \ 1,x) * z). (((x * y) \ (y * x)) * K(z,z \ 1)) * K(z \ 1,z) = K(K(z \ 1,z) * y,x). (K(x,y) * K(z,z \ 1)) * K(z \ 1,z) = K(K(z \ 1,z) * x,y). K(x,y) = K(K(z \ 1,z) * x,y). K(K(x \ 1,x) * y,z) = K(y,z). K(K(x \ 1,x) * y,z) != u | K(y,K(x \ 1,x) * z) = u. K(x,K(y \ 1,y) * z) = K(x,z). K(x,y) = K((x \ 1) \ 1,y). K((x \ 1) \ 1,y) = K(x,y). K(x \ 1,y) = K(1 / x,y). K(1 / x,y) = K(x \ 1,y). K(x * (y \ 1),z) = K(x * (1 / y),z). K(x * (1 / y),z) = K(x * (y \ 1),z). K((x \ 1) * y,z) = K((1 / x) * y,z). K((1 / x) * y,z) = K((x \ 1) * y,z). K((K(x,x \ 1) * y) \ z,u) = K(y \ z,u). K(x,y) = K(x,y * K(z,z \ 1)). K(x,y * K(z,z \ 1)) = K(x,y). K(x,y / (K(z,z \ 1) * u)) = K(x,y / u). K(x,y * z) = K(x,y * (z * (u * (1 / u)))). K(x,y * (z * (u * (1 / u)))) = K(x,y * z). K(x,((1 / y) * z) * u) = K(x,((y \ 1) * z) * u). K((x \ y) \ z,u) = K((((x \ 1) \ 1) \ y) \ z,u). K((((x \ 1) \ 1) \ y) \ z,u) = K((x \ y) \ z,u). K(x,y / ((1 / z) * u)) = K(x,y / ((z \ 1) * u)). K(x,y * (z * (1 / u))) = K(x,y * (z * (u \ 1))). K(x,y * (z * ((u \ 1) \ 1))) = K(x,y * (z * u)). x * ((y * z) * T((y * z) \ y,u)) = (x * y) * K(u \ (u / L(z,y,x)),u). (x * y) * K(z \ (z / L(u,y,x)),z) = x * ((y * u) * T((y * u) \ y,z)). (x * y) * K(z \ (z / L(u,y,x)),z) = x * (y * (u * T(u \ 1,z))). L(x * T(x \ 1,y),z,u) = K(y \ (y / L(x,z,u)),y). L(x,y,z) * T(L(x,y,z) \ 1,u) = L(x * T(x \ 1,u),y,z). L(x \ T(x,y),z,u) = K(y \ (y / L(x \ 1,z,u)),y). L(x \ T(x,y * L(x \ 1,z,u)),z,u) = K((y * L(x \ 1,z,u)) \ y,y * L(x \ 1,z,u)). K(x \ (x / R(y,z,u)),x) = (((y * z) * T((y * z) \ z,x)) * u) / (z * u). K(x \ (x / R(y,z,u)),x) = (((y * T(y \ 1,x)) * z) * u) / (z * u). K(x \ (x / R(y,z,u)),x) != w | R(y * T(y \ 1,x),z,u) = w. R(x,y,z) * T(R(x,y,z) \ 1,u) != w | R(x * T(x \ 1,u),y,z) = w. (K(x \ 1,x) * (y * z)) \ (K(x \ 1,x) * (y * (z * u))) = L(u,z,y * K(x \ 1,x)). R(x * K(y \ 1,y),K(y,y \ 1) * z,u) = ((x * z) * u) / (z * (K(y,y \ 1) * u)). L(L(x,y,z),z * y,K(u \ 1,u)) = L(x,y,z * K(u \ 1,u)). L(x,y,z) = L(x,y,z * K(u \ 1,u)). L(x,y,z * K(u \ 1,u)) = L(x,y,z). L(x,y,z) != u | (z * y) \ (z * (y * x)) = u. ((x * K(y \ 1,y)) * z) \ ((x * K(y \ 1,y)) * (z * u)) = L(u,z,x). L(x,y,z \ 1) = L(x,y,1 / z). L(x,y,1 / z) = L(x,y,z \ 1). L(x,y,z) = L(x,y,K(u,u \ 1) * z). L(x,y,K(z,z \ 1) * u) = L(x,y,u). L(x,y,((z \ 1) * u) * w) = L(x,y,((1 / z) * u) * w). L(x,y,((1 / z) * u) * w) = L(x,y,((z \ 1) * u) * w). L(x,y,z) = L(x,y,(z \ 1) \ 1). L(x,y,(z \ 1) \ 1) = L(x,y,z). L(x,y,z * (u * K(w,w \ 1))) = L(x,y,z * u). L(x,y,z * (u * (1 / w))) = L(x,y,z * (u * (w \ 1))). (x * (K(y \ 1,y) * z)) \ ((x * K(y \ 1,y)) * (z * u)) = L(u,z,x). (x * (K(y \ 1,y) * z)) \ (x * (K(y \ 1,y) * (z * u))) = L(u,z,x). L(L(x,y,K(z \ 1,z)),K(z \ 1,z) * y,u) = L(x,y,u). L(x,K(y \ 1,y) * z,u) = L(x,z,u). L(x,y,z) = L(x,T(y,y \ 1),z). L(x,T(y,y \ 1),z) = L(x,y,z). L(x,y,z) = L(x,(y \ 1) \ 1,z). L(x,(y \ 1) \ 1,z) = L(x,y,z). L(x,y \ 1,z) = L(x,1 / y,z). L(x,1 / y,z) = L(x,y \ 1,z). L(x,y * K(z \ 1,z),u) = L(x,y,u). L(x,(1 / y) \ z,u) = L(x,(y \ 1) \ z,u). L(x,y * z,u) = L(x,y * (K(w,w \ 1) * z),u). L(x,y * (K(z,z \ 1) * u),w) = L(x,y * u,w). 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 \ (z \ 1),u) = L(x,y \ (1 / z),u). L(x,y \ (1 / z),u) = L(x,y \ (z \ 1),u). L(x,y * (z * (u * K(w,w \ 1))),v5) = L(x,y * (z * u),v5). L(x,y * (z \ (1 / u)),w) = L(x,y * (z \ (u \ 1)),w). 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 * (z * (u * ((w \ 1) \ 1))),v5) = L(x,y * (z * (u * w)),v5). L(x,y * (z * ((1 / u) * w)),v5) = L(x,y * (z * ((u \ 1) * w)),v5). x != y / (z * (K(u,u \ 1) * w)) | K(u \ 1,u) * (y / (z * w)) = x. K(x \ 1,x) * (((y * z) * u) / (z * u)) = R(y * K(x \ 1,x),K(x,x \ 1) * z,u). R(x * K(y \ 1,y),K(y,y \ 1) * z,u) = K(y \ 1,y) * (((x * z) * u) / (z * u)). R(x * K(y \ 1,y),K(y,y \ 1) * z,u) = K(y \ 1,y) * R(x,z,u). R(x,K(y,y \ 1) * z,u) = R(x,z,u). R(x,1 / y,z) = R(x,y \ 1,z). R(x,(y \ 1) \ 1,z) = R(x,y,z). R(x,y * (1 / z),u) = R(x,y * (z \ 1),u). R(x,y,z) = R(x,y * K(u \ 1,u),z). R(x,y * K(z \ 1,z),u) = R(x,y,u). R(x,y / ((z \ 1) \ 1),u) = R(x,y / z,u). (x * (y * (K(z \ 1,z) * u))) \ ((x * (K(z \ 1,z) * y)) * u) = a(x,y * K(z \ 1,z),u). R(L((x / (y \ 1)) * K(y \ 1,y),z,u),y \ 1,y) = ((y \ 1) * L((y \ 1) \ x,z,u)) * y. (K(x \ 1,x) * (y * (z * u))) \ ((K(x \ 1,x) * (y * z)) * u) = a(y * K(x \ 1,x),z,u). K(x \ 1,x) * ((y * (K(x \ 1,x) * (z * u))) \ ((y * z) * u)) = a(y,z,K(x \ 1,x) * u). (x * (y * (K(z \ 1,z) * u))) \ ((x * (K(z \ 1,z) * y)) * u) != w | a(x,y,K(z \ 1,z) * u) = w. a(x,y,K(z \ 1,z) * u) = a(x,y * K(z \ 1,z),u). a(x,y * K(z \ 1,z),u) = a(x,y,K(z \ 1,z) * u). a(x,K(y \ 1,y) * z,u) = a(x,z,K(y \ 1,y) * u). R(L(x / (1 / y),z,u),y \ 1,y) = ((y \ 1) * L((y \ 1) \ x,z,u)) * y. ((x \ 1) * L((x \ 1) \ y,z,u)) * x = R(L(y / (1 / x),z,u),x \ 1,x). x != R(L(y,z,u),w,v5) | L(R(y,w,v5),z,u) = x. L(R(x / (1 / y),y \ 1,y),z,u) = ((y \ 1) * L((y \ 1) \ x,z,u)) * y. ((x \ 1) * L((x \ 1) \ y,z,u)) * x = L(R(y / (1 / x),x \ 1,x),z,u). ((x \ 1) * L((x \ 1) \ y,z,u)) * x = L(y * x,z,u). (x \ L(x * y,z,u)) * x = L(y * x,z,u). (x \ L(y,z,u)) * x = L((x \ y) * x,z,u). L((x \ y) * x,z,u) = (x \ L(y,z,u)) * x. x = (L(x,y,z) \ x) * L(x,y,z). (L(x,y,z) \ x) * L(x,y,z) = x. 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) = (x \ L(x,y,z)) * x. (x \ L(x,y,z)) * x = L(x,y,z). L((x \ ((y \ 1) \ z)) * x,y \ 1,y) = (x \ (y * z)) * x. x / L(x,y,z) = L(x,y,z) \ x. (L(x,y,z) \ x) \ x = L(x,y,z). x / L(x,y,z) != u | L(x,y,z) \ x = u. L(x,y,z) / x = x \ L(x,y,z). (x \ L(x,y,z)) \ L(x,y,z) = x. x * (y \ 1) != L(y \ 1,z,u) | a(y,u,z) = x. a(x,y,z) = (x \ 1) \ L(x \ 1,z,y). a(x \ 1,y,z) * x = L(x,z,y). L(x,y,z) = a(x \ 1,z,y) * x. x / L(x,y,z) != u | (1 / L(x,y,z)) * x = u. (1 / L(x,y,z)) * x = L(x,y,z) \ x. T(x,L(x,y,z) \ x) = x. T(L(x,y,z) \ x,x) = L(x,y,z) \ x. (1 / x) * L(x,y,z) = x \ L(x,y,z). x != y \ L(y,z,u) | a(y \ 1,u,z) = x. a(x \ 1,y,z) = L(x,z,y) / x. a(x \ 1,y,z) \ L(x,z,y) = x. a(x,y,z) = a((x \ 1) \ 1,y,z). a((x \ 1) \ 1,y,z) = a(x,y,z). x * y != L(x,z,u) | T(a(x \ 1,u,z),x) = y. T(a(x \ 1,y,z),x) = a(x \ 1,y,z). T(a(x \ 1,y,z) \ 1,x) = L(x,z,y) \ x. x \ y != a((z \ 1) \ 1,u,w) | x * a(z,u,w) = y. (x \ 1) * a(x,y,z) = L(x \ 1,z,y). a(x \ 1,y,z) = a(1 / x,y,z). a(1 / x,y,z) = a(x \ 1,y,z). a(T(x \ 1,y) \ 1,z,u) = a(T(1 / x,y) \ 1,z,u). a(T(1 / x,y) \ 1,z,u) = a(T(x \ 1,y) \ 1,z,u). a(T(x \ 1,y),z,u) = a(T(1 / x,y),z,u). a(T(1 / x,y),z,u) = a(T(x \ 1,y),z,u). x \ y != a(z \ 1,u,w) | x * a(1 / z,u,w) = y. x * a(1 / x,y,z) = L(x,z,y). L(x,y,z) = x * a(1 / x,z,y). x * a(1 / x,y,z) != u | L(x,z,y) = u. L(x,y,z) = a(1 / x,z,y) * x. a(1 / x,y,z) * u != L(x,z,y) | T(x,a(1 / x,y,z)) = u. T(x,a(1 / x,y,z)) = x. x * y != L(x,z,u) \ x | T(1 / L(x,z,u),x) = y. T(1 / L(x,y,z),x) = L(x,y,z) \ 1. ((x \ L(x,y,z)) * u) * x = x \ (L(x,y,z) * (u * x)). x \ (L(x,y,z) * (u * x)) = ((x \ L(x,y,z)) * u) * x. x * T(a(x \ 1,y,z),u) != w | T(a(x \ 1,y,z),u) * x = w. x != L(y,z,u) \ y | y / L(y,z,u) = x. x / L(x,y,z) = T(a(x \ 1,z,y) \ 1,x). T(a(x \ 1,y,z) \ 1,x) = x / L(x,z,y). T(x,y) != L(y,z,u) \ y | L(y,z,u) \ y = x. L(x,y,z) \ x = a(x \ 1,z,y) \ 1. T(L(x,y,z) \ x,u) = T(T(a(x \ 1,z,y) \ 1,u),x). T(T(a(x \ 1,y,z) \ 1,u),x) = T(L(x,z,y) \ x,u). 1 / (L(x,y,z) \ x) = a(x \ 1,z,y). L(1 / x,y,z) \ (1 / x) = a(x,z,y) \ 1. L(x,y,z) \ x = (x \ L(x,y,z)) \ 1. (x \ L(x,y,z)) \ 1 = L(x,y,z) \ x. a(x \ 1,y,z) \ 1 != u | L(x,z,y) \ x = u. x / L(x,y,z) != T(u,x) | a(x \ 1,z,y) \ 1 = u. T(x,y) != y / L(y,z,u) | a(y \ 1,u,z) \ 1 = x. (x \ L(x,y,z)) \ 1 != u | L(x,y,z) \ x = u. x \ (L(x,y,z) * (u * x)) != w | L(x,y,z) * T(u,x) = w. L(x,y,z) * T(u,x) = ((x \ L(x,y,z)) * u) * x. ((x \ L(x,y,z)) * u) * x = L(x,y,z) * T(u,x). (a(x \ 1,y,z) * u) * x = L(x,z,y) * T(u,x). (x * y) * ((z \ ((x * y) \ u)) * z) = x * (y * ((z \ (y \ (x \ u))) * z)). x * y != L((z \ ((u \ 1) \ w)) * z,u \ 1,u) | x \ ((z \ (u * w)) * z) = y. x \ ((y \ (x * z)) * y) = (x \ 1) * ((y \ ((x \ 1) \ z)) * y). (x \ 1) * ((y \ ((x \ 1) \ z)) * y) = x \ ((y \ (x * z)) * y). ((x \ 1) * T((x \ 1) \ 1,y)) * y = x \ ((y \ (x * y)) * y). x \ ((y \ (x * y)) * y) = ((x \ 1) * T((x \ 1) \ 1,y)) * y. (x \ 1) * ((y \ ((x \ 1) \ z)) * y) != u | ((y \ (z * x)) * y) / x = u. ((x \ (y * z)) * x) / z = z \ ((x \ (z * y)) * x). (x \ ((y \ (x * z)) * y)) * x = (y \ (z * x)) * y. (x \ ((y \ (x * z)) * y)) * x != u | (y \ (z * x)) * y = u. (x \ ((y \ (x * 1)) * y)) * x = (y \ x) * y. (x \ ((y \ x) * y)) * x = (y \ x) * y. K(x \ y,x) * y = (x \ y) * x. K(x \ y,x) * z != (x \ y) * x | T(y,K(x \ y,x)) = z. T(x,K(y \ x,y)) = x. x * (y \ z) != (z \ (y \ z)) * z | y * T(y \ 1,z) = x. x * T(x \ 1,y) = K(y \ (x \ y),y). K(x \ (y \ x),x) = y * T(y \ 1,x). T(x * y,K(y,x)) = x * y. K(x,y) \ (x * y) = y * x. (x * y) / (y * x) = K(x,y). K(x,y) = (x * y) / (y * x). K(x,y) * (y * x) = x * y. x * (y * z) != z * y | K(z,y) = x. K(x,y) * (x * y) = y * x. (x * y) \ (K(x,y) * (y * (x * z))) = L(L(z,x,y),y * x,K(x,y)). x * y != z * (y * x) | K(y,x) = z. x * (y * z) != z * y | K(y,z) = x. x \ (T(x,y) * y) = ((x \ 1) * T((x \ 1) \ 1,y)) * y. ((x \ 1) * T((x \ 1) \ 1,y)) * y = x \ (T(x,y) * y). x != y \ (T(y,z) * z) | (y * z) / y = x. (x * y) / x = ((x \ 1) * T((x \ 1) \ 1,y)) * y. ((x \ 1) * T((x \ 1) \ 1,y)) * y = (x * y) / x. (x \ T(x,y)) * y = (x * y) / x. x * (y \ T(y,x)) = (y * x) / y. x != (y * T(z,y)) / y | z = x. x = T(x,y) * (y \ T(y,T(x,y))). T(x,y) * (y \ T(y,T(x,y))) = x. x / y = (y \ x) * (y \ T(y,y \ x)). (x \ y) * (x \ T(x,x \ y)) = y / x. (x \ 1) * y != (z * (x \ 1)) / z | x * ((z * (x \ 1)) / z) = y. x * ((y * (x \ 1)) / y) = y \ T(y,x \ 1). (x * (y \ T(y,x))) * y = y * x. T(x,y) * (y \ T(y,x)) = x. x * (T(y,x) \ y) = T(x,y). T(x,y) \ x = y \ T(y,x). T(x,y) \ x != z | y \ T(y,x) = z. x * y != T(z,L(u,z,u)) | x \ T(z,u) = y. x \ T(x,y) = T(L(y,x,y),x) \ L(y,x,y). T(L(x,y,x),y) \ L(x,y,x) = y \ T(y,x). (x \ 1) * y != T(x \ 1,z) | x * T(x \ 1,z) = y. x * T(x \ 1,y) = T(y,x \ 1) \ y. T(x,y \ 1) \ x = y * T(y \ 1,x). x * (T(x,y) \ x) = (y * x) / y. (x * y) / x = y * (T(y,x) \ y). T(x * (T(x,y) \ x),y) = x. x != y * T(y \ 1,z) | K(z \ (y \ z),z) = x. K(x \ (y \ x),x) = T(x,y \ 1) \ x. (x / y) * ((z * ((x / y) \ 1)) / z) != u | (x * ((z * (x \ y)) / z)) / y = u. (x * ((y * (x \ z)) / y)) / z = y \ T(y,(x / z) \ 1). T(x,x / (x * y)) = T(x,y \ 1). (x * ((y / (z * (x \ y))) / x)) * (z * (x \ y)) = x * ((x \ T(x,z \ 1)) * (x \ y)). (x * ((x / y) / x)) * y = T(x,y \ 1). T(x,x / (x * y)) != z | T(x,R(y \ 1,y,x)) = z. T(x,R(y \ 1,y,x)) = T(x,y \ 1). x \ T(y,x \ 1) = y * ((x \ y) / y). T(x,x * y) \ L(x,y,x) = y \ T(y,x). (K(x \ 1,x) * (y * (z * u))) \ (K(x \ 1,x) * ((y * z) * u)) = a(y * K(x \ 1,x),z,u). K(x \ 1,x) * ((y * (z * u)) \ ((x * (1 / x)) * ((y * z) * u))) = a(y,z,K(x \ 1,x) * u). L(a(x,y,z),x * (y * z),K(u \ 1,u)) = a(x * K(u \ 1,u),y,z). a(x,y,z) = a(x * K(u \ 1,u),y,z). a(x * K(y \ 1,y),z,u) = a(x,z,u). a(x * (y \ 1),z,u) = a(x * (1 / y),z,u). a(x * (1 / y),z,u) = a(x * (y \ 1),z,u). K(x \ 1,x) * (y \ ((x * (1 / x)) * z)) != u | y \ z = u. (x * (y * z)) \ ((x * y) * z) = a(x,y,K(u \ 1,u) * z). a(x,y,K(z \ 1,z) * u) = (x * (y * u)) \ ((x * y) * u). a(x,y,z) = a(x,y,K(u \ 1,u) * z). a(x,y,K(z \ 1,z) * u) = a(x,y,u). a(x,y,K(z \ 1,z) * u) != w | a(x,K(z \ 1,z) * y,u) = w. a(x,K(y \ 1,y) * z,u) = a(x,z,u). a(x,y,z) = a(x,y,(z \ 1) \ 1). a(x,y,(z \ 1) \ 1) = a(x,y,z). a(x,y,z \ 1) = a(x,y,1 / z). a(x,y,1 / z) = a(x,y,z \ 1). a(x,y,z * K(u \ 1,u)) = a(x,y,z). a(x,y,z) = a(x,(y \ 1) \ 1,z). a(x,(y \ 1) \ 1,z) = a(x,y,z). a(x,y \ 1,z) = a(x,1 / y,z). a(x,1 / y,z) = a(x,y \ 1,z). a(x,y,z \ (u \ 1)) = a(x,y,z \ (1 / u)). a(x,y,z \ (1 / u)) = a(x,y,z \ (u \ 1)). L(x \ x,y,z) = K((x * L(x \ 1,y,z)) \ x,x * L(x \ 1,y,z)). K((x * L(x \ 1,y,z)) \ x,x * L(x \ 1,y,z)) = L(x \ x,y,z). K((x * L(x \ 1,y,z)) \ x,x * L(x \ 1,y,z)) = L(1,y,z). x != L(1,y,z) | 1 = x. 1 = K((x * L(x \ 1,y,z)) \ x,x * L(x \ 1,y,z)). K((x * L(x \ 1,y,z)) \ x,x * L(x \ 1,y,z)) = 1. x \ y != K((z * L(z \ 1,u,w)) \ z,z * L(z \ 1,u,w)) | x * 1 = y. x * 1 = ((x * L(x \ 1,y,z)) \ x) * (x * L(x \ 1,y,z)). ((x * L(x \ 1,y,z)) \ x) * (x * L(x \ 1,y,z)) = x * 1. x = ((x * L(x \ 1,y,z)) \ x) * (x * L(x \ 1,y,z)). ((x * L(x \ 1,y,z)) \ x) * (x * L(x \ 1,y,z)) = x. x / (x * L(x \ 1,y,z)) != u | (x * L(x \ 1,y,z)) \ x = u. ((x * y) * (1 / z)) / (y * (1 / z)) = R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)). R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)) = ((x * y) * (1 / z)) / (y * (1 / z)). R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)) != u | R(x,y,1 / z) = u. R(x,y,1 / z) = R(x,y,z \ 1). x != y | R(y,z,K(u \ 1,u)) = x. R(R(x,y,z \ 1),u,K(w \ 1,w)) = R(x,y,1 / z). R(x,y,z) = R(x,y,(z \ 1) \ 1). R(x,y,(z \ 1) \ 1) = R(x,y,z). R(x,y,z) * (y * ((z \ 1) \ 1)) = (x * y) * ((z \ 1) \ 1). (x * y) * ((z \ 1) \ 1) != u * (y * ((z \ 1) \ 1)) | R(x,y,z) = u. x != y * (z * ((y * (z \ (y \ u))) / y)) | (y * ((u / z) / y)) * z = x. (x * ((y / (z * (u \ y))) / x)) * (z * (u \ y)) = (x * (R(u / z,z,u \ y) / x)) * (z * (u \ y)). (x * (R(y / z,z,y \ u) / x)) * (z * (y \ u)) = (x * ((u / (z * (y \ u))) / x)) * (z * (y \ u)). R(x * ((y / z) / x),z,y \ u) * (z * (y \ u)) = (x * ((u / (z * (y \ u))) / x)) * (z * (y \ u)). ((x * ((y / z) / x)) * z) * (y \ u) = (x * ((u / (z * (y \ u))) / x)) * (z * (y \ u)). (x * ((y / (z * (u \ y))) / x)) * (z * (u \ y)) = ((x * ((u / z) / x)) * z) * (u \ y). (x * ((y / z) / x)) * z != u | z * (x * ((z \ y) / x)) = u. (x * (y \ z)) * (u * (((x * (y \ z)) \ z) / u)) = ((u * ((y / x) / u)) * x) * (y \ z). (x * ((y / (z * (x \ y))) / x)) * (z * (x \ y)) = T(x,z \ 1) * (x \ y). (x * ((y / (z * (x \ y))) / x)) * (z * (x \ y)) != u | x * ((x \ T(x,z \ 1)) * (x \ y)) = u. x * ((x \ T(x,y \ 1)) * (x \ z)) = T(x,y \ 1) * (x \ z). x * ((x \ T(x,y)) * (x \ z)) = T(x,(y \ 1) \ 1) * (x \ z). T(x,(y \ 1) \ 1) * (x \ z) = x * ((x \ T(x,y)) * (x \ z)). T(x,y) * (x \ z) = x * ((x \ T(x,y)) * (x \ z)). x * ((x \ T(x,y)) * (x \ z)) = T(x,y) * (x \ z). x * ((x \ T(x,y)) * z) = T(x,y) * (x \ (x * z)). T(x,y) * (x \ (x * z)) = x * ((x \ T(x,y)) * z). x \ (T(x,y) * z) = (x \ T(x,y)) * z. T(x,y) * z = x * ((x \ T(x,y)) * z). x * ((x \ T(x,y)) * z) = T(x,y) * z. T(x,y) * (x \ z) = (x \ T(x,y)) * z. (x \ T(x,y)) * z = T(x,y) * (x \ z). R(x,x \ T(x,y),z) = x. x = L(x,y \ T(y,z),y). L(x,y \ T(y,z),y) = x. L(x,T(y,z) \ y,z) = x. x * y != T(x,z) * (x * u) | T(x,z) * u = y. T(x,y) * z = (x \ T(x,y)) * (x * z). (x \ T(x,y)) * (x * z) = T(x,y) * z. (T(x,y) * z) * x = T(x,y) * T(x * z,x). T(x,y) * T(x * z,x) = (T(x,y) * z) * x. x * ((T(y,x) \ y) * z) = T(x,y) * z. L(x,y,y \ T(y,z)) = x. x * y != T(x,z) * (z * x) | x * z = y. x * y = (T(y,x) \ y) * (y * x). (T(x,y) \ x) * (x * y) = y * x. K(x,y) = T(x,y) \ x. K(x,y) = T(y,x) \ y. x != T(y,z) \ y | y / T(y,z) = x. x / T(x,y) = K(x,y). K(x,y) = x / T(x,y). x != T(y,z \ 1) \ y | z * T(z \ 1,y) = x. x * T(x \ 1,y) = K(y,x \ 1). x != T(y,z) \ y | z \ T(z,y) = x. x \ T(x,y) = K(y,x). K(x,y) = y \ T(y,x). x \ y != T(z,u) \ z | x * K(z,u) = y. x * K(y,x) = T(x,y). T(x,y) = x * K(y,x). x * y != T(z,u) \ z | x \ K(z,u) = y. x \ K(y,x \ 1) = T(x \ 1,y). x \ y != K(z,u) | x * K(u,z) = y. T(x,y) * K(y,x) = x. T(x,y) \ x != z | K(y,x) = z. x \ K(x,y) = T(x,y) \ 1. T(x,y) \ 1 = x \ K(x,y). K(x,y) / x = 1 / T(x,y). K(x,y) * T(x,y) = x. L(x,K(y,z),z) = x. x * (K(y,x) * z) = T(x,y) * z. a(x,y,K(z,y)) = 1. L(x,K(y,z),y) = x. L(K(x,y),y,z) = K(x,y). a(x,y,K(y,z)) = 1. L(K(x,y),x,z) = K(x,y). K(x,y) * T(y,x) = y. x != T(y,z \ 1) \ y | K(y \ (z \ y),y) = x. K(x \ (y \ x),x) = K(y \ 1,x). x / T(x,y) = K(y,x). K(x,y) = y / T(y,x). x * T(x \ 1,y) = K(x \ 1,y). x \ T(x,y) = K(x,y). K(x,y) = x \ T(x,y). x \ y != T(z,u) \ z | x * K(u,z) = y. x * K(x,y) = T(x,y). T(x,y) = x * K(x,y). x * y != T(z,u) \ z | x \ K(u,z) = y. x \ K(x \ 1,y) = T(x \ 1,y). x / K(y,x) = T(x,y). T(x,y) = x / K(y,x). x / K(y,x) != z | T(x,y) = z. x \ K(y,x) = T(x,y) \ 1. T(x,y) \ 1 = x \ K(y,x). K((1 / x) \ y,y) = T(y,y * x) \ y. K(x,y) / y = 1 / T(y,x). K(x,y) \ y = T(y,x). T(x,y) = K(y,x) \ x. (x * y) / x = y * K(x,y). T(x * K(y,x),y) = x. K(x,y) != z | x \ T(x,y) = z. x * (K(x,y) * z) = T(x,y) * z. x / T(x,y) != z | K(y,x) = z. x \ y != K(z,1 / u) | x * K(z,u \ 1) = y. (1 / x) * K(y,x \ 1) = T(1 / x,y). x * K(y,x) != z | T(x,y) = z. x \ T(x,y) != z | K(x,y) = z. K(x,y) * y = T(y,x). T(x,y) = K(y,x) * x. R(x,K(y,x),z) = x. K(x,y) * (y * z) = T(y,x) * z. L(x,y,K(z,y)) = x. R(x,K(x,y),z) = x. T(x,y) * (K(z,x) * u) = (T(x,y) * K(z,x)) * u. (T(x,y) * K(z,x)) * u = T(x,y) * (K(z,x) * u). L(x,y,K(y,z)) = x. L(x,y,K(z,y)) != u | x = u. (x * K(y,x)) * z = K(y,x) * (x * z). R(T(x,y),K(x,z),u) = T(x,y). a(x,K(y,z),y) = 1. L(x,y,K(y,z)) != u | x = u. L(x,K(x,y),z) = x. L(x,K(y,x),z) = x. (x * K(y,z)) * T(y,u) = x * (K(y,z) * T(y,u)). (x * K(y,z)) * L(y,u,w) = x * (K(y,z) * L(y,u,w)). (x * K(y,z)) * L(z,u,w) = x * (K(y,z) * L(z,u,w)). x != (1 / y) * K(z,1 / y) | K(z,y \ 1) / y = x. K(x,y \ 1) / y = T(1 / y,x). T(x,y) != z | K(y,x) * x = z. K(x,y) / T(y,x) = 1 / y. T(x,y * K(x,y)) = T(x,y). T(x,L(y * K(x,y),z,u)) = T(x,L(y,z,u)). L(x,y,x * K(y,x)) = L(x,y,x). x != y * T(x,z) | K(z,x) = y. x * T(y,z) != y | K(z,y) = x. K(x,y) \ y != z | T(y,x) = z. x != y \ T(y,z) | T(z,z * y) \ L(z,y,z) = x. T(x,x * y) \ L(x,y,x) = K(y,x). K(x,y) = T(y,y * x) \ L(y,x,y). x != y \ T(y,(z / u) \ 1) | (z * ((y * (z \ u)) / y)) / u = x. (x * ((y * (x \ z)) / y)) / z = K(y,(x / z) \ 1). x != y \ T(y,z) | T(y,z) / y = x. T(x,y) / x = K(x,y). K(x,y) = T(x,y) / 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 != z \ T(z,u) | x * K(z,u) = y. T(x,x * y) * K(y,x) = L(x,y,x). K(x,y) != z | K(x,y * K(u,u \ 1)) = z. K(x,y * K(z,z \ 1)) = x \ T(x,y). K(T(x,y),z) = T(x,y) \ T(T(x,z),y). T(x,y) \ T(T(x,z),y) = K(T(x,y),z). K(L(x,y,z),u) = L(x,y,z) \ L(T(x,u),y,z). L(x,y,z) \ L(T(x,u),y,z) = K(L(x,y,z),u). K(x,y) != x \ z | T(x,y) = z. x * K(x,y) != z | T(x,y) = z. x \ ((y * T(x,z)) / x) = (x \ y) * K(x,z). K(x,y) \ 1 = T(x,y) \ x. T(x,y) \ x = K(x,y) \ 1. K(x,y) * x = T(x,y). T(x,y) = K(x,y) * x. K(x,y) * (1 / T(x,y)) = 1 / x. K(x,y * x) = x \ T(x,x * y). x \ T(x,x * y) = K(x,y * x). T(x,y) * K(y,T(x,y)) = x. (x * K(y,x)) * y = y * x. (x \ y) * K(x,x \ y) = y / x. x \ (T(x,y) * z) = K(x,y) * z. K(x,y) * z = T(x,y) * (x \ z). T(x,y) * (x \ z) = K(x,y) * z. K(x,y) * (x * z) = T(x,y) * z. T(x,y) != x * z | K(x,y) = z. x * K(x,x \ y) != z | (x \ y) \ y = z. R(x,y,L(x,z,u)) = T(x,y) * K(y * L(x,z,u),T(x,y)). T(x,y) * K(y * L(x,z,u),T(x,y)) = R(x,y,L(x,z,u)). T(x,y) = T(T(x * K(z,x),y),z). T(T(x * K(y,x),z),y) = T(x,z). L(x,y,z) = T(L(x * K(u,x),y,z),u). T(L(x * K(y,x),z,u),y) = L(x,z,u). R(x,y,z) = T(R(x * K(u,x),y,z),u). T(R(x * K(y,x),z,u),y) = R(x,z,u). x != T(y,z) | x * K(z,x) = y. T(x,y) != z | z * K(y,z) = x. x * L(y,z,u) = L(y * K(x,y),z,u) * x. L(x * K(y,x),z,u) * y = y * L(x,z,u). L(x,y,x * K(y,x)) = T(x * K(y,x),(x * K(y,x)) * y). T(x * K(y,x),(x * K(y,x)) * y) = L(x,y,x * K(y,x)). L(x * K(y,x),y,x) = L(x * K(y,x),y,x * K(y,x)). L(x * K(y,x),y,x * K(y,x)) = L(x * K(y,x),y,x). T(T(x,y),y) = x. x / (x / y) = T(y,y \ x). T(x,x \ y) = y / (y / x). x \ 1 = T((x * y) \ y,y). T((x * y) \ y,y) = x \ 1. (x / y) \ 1 = T(x \ y,y). T(x \ y,y) = (x / y) \ 1. (x \ 1) \ y = T(y * T(x,x \ 1),x). T(x * T(y,y \ 1),y) = (y \ 1) \ x. x / (1 / y) = T((1 / y) \ x,y \ 1). T((1 / x) \ y,x \ 1) = y / (1 / x). x * T(y,x \ 1) = T(x * y,x). x * y = T(y / (x \ 1),x). T(x / (y \ 1),y) = y * x. (1 / x) \ y = T(y * x,x). T(x * y,y) = (1 / y) \ x. (x * y) / x = T(y,x). T(x,y) = (y * x) / y. x / y = T(y \ 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) = T(T(T(x,z),y),z). T(T(T(x,y),z),y) = T(x,z). x \ y != T(T(z,u),u) | x * z = y. x * y = T(y,x) * x. T(x,y) * y = y * x. x * y != T(T(z,u),u) | z / y = x. x / (y \ 1) = y * T(x,y \ 1). x * T(y,x \ 1) = y / (x \ 1). x / y = (1 / y) * T(x,y). (1 / x) * T(y,x) = y / x. x != T(y,z) | T(x,z) = y. T(x,y) != z | T(z,y) = x. x * y != z | T(y,x) * x = z. (x * y) / x != z | T(y,x) = z. x * T(y,z) = T(T(y,x),z) * x. T(T(x,y),z) * y = y * T(x,z). x * L(y,z,u) = L(T(y,x),z,u) * x. L(T(x,y),z,u) * y = y * L(x,z,u). x * R(y,z,u) = R(T(y,x),z,u) * x. R(T(x,y),z,u) * y = y * R(x,z,u). x * (y \ 1) = y \ T(x,y). x \ T(y,x) = y * (x \ 1). (x * y) * R(z,x,y) = (T(z,x * y) * x) * y. (T(x,y * z) * y) * z = (y * z) * R(x,y,z). x * y = (1 / y) \ T(x,y \ 1). (1 / x) \ T(y,x \ 1) = y * x. T(x,y \ 1) = L(T(x,y),y,y). L(T(x,y),y,y) = T(x,y \ 1). x / y = (1 / T(y,x)) * x. (1 / T(x,y)) * y = y / x. (x / y) / x = 1 / T(y,x). x \ (x / y) = T(1 / T(y,x),x). T(1 / T(x,y),y) = y \ (y / x). x * ((y * K(x,z)) * x) = ((1 / x) \ y) * T(x,z). ((1 / x) \ y) * T(x,z) = x * ((y * K(x,z)) * x). (x \ y) \ y = K(x,x \ y) * x. T(T(x,y),z) = K(T(x,z),y) * T(x,z). K(T(x,y),z) * T(x,y) = T(T(x,z),y). x \ y = (x * (y / x)) / x. (x * (y / x)) / x = x \ y. x \ y != T(z,u) | x * ((u * z) / u) = y. x * ((x * y) / x) = y * x. T(x,y) != z / y | y * x = z. T(x,y) * y != z | y * x = z. x * ((x * y) / x) != z | y * x = z. T(T(x,y),y) != z | x = z. T(x \ y,x) != z | y / x = z. x \ T(x * y,y) = T(y,x * y). T(x * y,y) * (z * y) = y * ((x * z) * y). T(x,y) * (z * y) = y * (((x / y) * z) * y). x * (((y / x) * z) * x) = T(y,x) * (z * x). L(T(x,y * z),z,y) = (y * (z * x)) / (y * z). (x * (y * z)) / (x * y) = L(T(z,x * y),y,x). T(L(x,y,z) * (x \ u),x) = (L(x,y,z) * u) / x. T(K(x,y),y) != z | K(x,y) = z. (x \ ((1 / x) \ y)) * L(z,x,x) = x \ T((y * z) * x,x). T(T(x,y) \ 1,y) = (y * x) \ y. x \ (T(y,x) \ 1) = ((x * y) \ x) * (x \ 1). ((x * y) \ x) * (x \ 1) = x \ (T(y,x) \ 1). K(x,y) = ((y * x) / y) \ x. K(x,y) * ((y * x) / y) = x. ((x \ y) \ y) \ y = y / x. K(x,x \ y) * (x \ y) = y / x. x \ y != T(z \ u,z) | x * (u / z) = y. x * (y / x) = (x \ y) * x. (x \ y) * x = x * (y / x). x * y != T(z \ u,z) | (u / z) / y = x. (x / y) / y = (1 / y) * (y \ x). (1 / x) * (x \ y) = (y / x) / x. x / y != T(z,y) | y \ x = z. T(x,y) != z / y | y \ z = x. (x \ y) \ (x * (y / x)) = x. x * (y / x) != z * x | x \ y = z. (x / y) * (y \ 1) = y \ (y \ x). (x / y) \ (y \ (y \ x)) = y \ 1. (x / y) \ y = (y \ x) \ T(y,y \ x). (x \ y) \ T(x,x \ y) = (y / x) \ x. K(x,x \ y) = (y / x) \ (x \ y). (x / y) \ (y \ x) = K(y,y \ x). x \ (y * (x * x)) = x * y. x \ T(y,x \ 1) = (x \ 1) * T(y,x). x * y != (z / u) * u | x \ z = y. T(x,y / x) \ y = y / x. x * y != y * z | y * (z * (y \ 1)) = x. x * (y * (x \ 1)) = T(y,x). T(x,y) = y * (x * (y \ 1)). x * y != y * (y * ((1 / y) * z)) | y * (z / y) = x. x * (y / x) = T(x * ((1 / x) * y),x). T(x * ((1 / x) * y),x) = x * (y / x). L(x,T(y,x),z) = (z * T(y,x)) \ (z * (x * y)). (x * T(y,z)) \ (x * (z * y)) = L(z,T(y,z),x). R(x,T(y,z),z) = ((x * T(y,z)) * z) / (z * y). ((x * T(y,z)) * z) / (z * y) = R(x,T(y,z),z). (x * y) * y = y * ((1 / y) \ x). x * ((1 / x) \ y) = (y * x) * x. (x * y) * L(z,x,T(y,x)) = T(y,x) * (x * z). L(x \ y,x,T(z,x)) = (x * z) \ (T(z,x) * y). ((x * y) * z) / (x * z) != u | R(T(y,x),x,z) = u. (x \ y) * y = y * ((x / y) \ 1). x * ((y / x) \ 1) = (y \ x) * x. (L(x,y,z) \ 1) * x = x * (1 / L(x,y,z)). x \ y != L(K(z,u),u,w) | x * K(z,u) = y. (x * y) * K(z,y) = x * (y * K(z,y)). T(T(T(x,y),z),y) != u | T(x,z) = u. T(x,y) != z | (y * x) / y = z. T(K(x,y),R(x,z,u)) != w | K(x,y) = w. T(x \ y,y) != z | (x / y) \ 1 = z. T(a(x \ 1,y,z),x) != u | a(x \ 1,y,z) = u. 1 / (x \ K(y,x)) = T(x,y). T(x,y) = 1 / (x \ K(y,x)). x \ y != (z * u) / z | x * (u * K(z,u)) = y. x * (y * K(x,y)) = T(x,y) * y. R(x * K(y,x),y,z) = ((y * x) * z) / (y * z). R(x / y,y,K(z,x)) \ ((z * x) / z) = y * K(z,x). R(x * K(y,x),z,u) = (y * R(x,z,u)) / y. (1 / x) * ((y * x) / y) = K(y,x). K(x,y) = (1 / y) * ((x * y) / x). K(x,x \ y) / (y / x) = 1 / (x \ y). T(L(L(x * K(y,x),y,x * K(y,x)),z,u) * y,x * K(y,x)) = L(x * K(y,x),z,u) * T(y,x). x * y != T(z,u) * (z \ 1) | x \ K(z,u) = y. (x \ 1) \ K(x,y) = T(T(x,x \ 1),y). T(T(x,x \ 1),y) = (x \ 1) \ K(x,y). x \ (y * T(y \ x,z)) = K((x \ y) \ 1,z). K(x,y) = K(y,x) \ 1. K(x,y) \ 1 = K(y,x). T(x,y) \ x != z | K(x,y) = z. K(x,y) = K(x,y) \ 1. K(x,y) \ 1 = K(x,y). 1 / K(x,y) = K(y,x). x * (K(y,z) * K(z,y)) = x. 1 / K(x,y) != z | K(y,x) = z. (K(x,y) * z) * T(K(y,x),z) = z. 1 / K(x,y) = K(x,y). K(x,y) \ 1 != z | K(y,x) = z. T(x,K(y,z)) = (K(z,y) * x) * K(y,z). (K(x,y) * z) * K(y,x) = T(z,K(y,x)). T(x,y) * z != x | K(y,x) = z. K(x,y) = K(x,T(y,x)). K(x,T(y,x)) = K(x,y). K(T(x,y),y) = K(y,x). K(x,x \ (y * x)) = K(x,y). K(x,x \ y) = K(x,y / x). K(x,y / x) = K(x,x \ y). x != K(y,z) | K(z,y) = x. K(x,y) = K(T(x,y),y). K(T(x,y),y) = K(x,y). K(x \ y,x) = K(y / x,x). K(x / y,y) = K(y \ x,y). K((x \ y) \ y,x \ y) = K(x,x \ y). (T(x,y) * y) / T(x,y) = y * K(x,y). a(x,y * K(z,y),z) = (x * (z * y)) \ ((x * (y * K(z,y))) * z). (x * (y * z)) \ ((x * (z * K(y,z))) * y) = a(x,z * K(y,z),y). (x \ y) \ y = y / (y / x). x / (x / y) = (y \ x) \ x. T(1 / (1 / x),y) = (T(x,y) \ 1) \ 1. x \ 1 != T(y,z) | (x * z) \ z = y. T(x,y) != z \ 1 | (z * y) \ y = x. T((x * y) \ x,x) = T(y,x) \ 1. x \ ((y \ x) * x) = (y / x) \ 1. 1 / T(x \ y,y) = x / y. T(x,y) = ((y / x) / y) \ 1. (x * x) * ((y / x) \ 1) = (x * (y \ x)) * x. ((x / y) \ 1) * T((x / y) \ 1,y) = (x \ y) * T(x \ y,y). T((x / y) \ 1,y) != z | x \ y = z. (1 / x) \ x = x / (x \ 1). x / (x \ 1) = (1 / x) \ x. T(x * y,y) = y * L(x,y,y). x * L(y,x,x) = T(y * x,x). x \ y != (1 / z) \ u | x * T(u * z,z) = y. x * T(y * z,z) = x * ((1 / z) \ y). x * y != (1 / z) \ u | x \ T(u * z,z) = y. x \ T(y * x,x) = L(y,x,x). T(x * y,y) * z = ((1 / y) \ x) * z. T(x,y) = (1 / y) \ (x / y). (1 / x) \ y != T(z,x) | y * x = z. T(x,y) != (1 / y) \ z | z * y = x. (x * x) * ((1 / x) \ y) = (x * (y * x)) * x. T(x * y,x) = (1 / x) \ T(y,x). (1 / x) \ T(y,x) = T(x * y,x). L(T(x,y \ 1),y,y) = T(x,y). x * y != T(T(T(z,u),w),u) | T(z,w) / y = x. T(x,y \ 1) / y = T(x,y) * (1 / y). x * y != (1 / z) * T(u,z) | x \ (u / z) = y. x \ (y / (x \ 1)) = T(y,x \ 1). (1 / x) * T(x \ y,z) = T(y / x,z) / x. L(x \ T(y,z),x,1 / z) = ((1 / z) * x) \ (y / z). (1 / x) * T(y * x,z) = T((1 / x) \ y,z) / x. T((1 / x) \ y,z) / x = (1 / x) * T(y * x,z). x \ (y / x) = (x \ 1) * (x \ T(y,x)). (x \ 1) * (x \ T(y,x)) = x \ (y / x). L(x / y,y,y) = y \ T(x,y). x \ (T(y,x) \ x) = y \ 1. T(x,y) \ y = y * (x \ 1). x != y * (z \ 1) | T(z \ y,z \ 1) = x. T(x \ y,x \ 1) = x \ T(y,x). x != (y * z) * (y \ 1) | T(z,y \ 1) = x. T(x,y \ 1) = y \ T(y * x,y). x \ T(x * y,x) = T(y,x \ 1). x * (y * (x \ 1)) != z | T(y,x) = z. x * (x * (y * (x \ 1))) = y * x. (x * ((y * (x \ 1)) * z)) * x = T(y,x) * T(x * z,x). x * (L(x,y,z) * (u * (x \ 1))) = L(x,y,z) * T(u,x). (x * ((x \ 1) / y)) * x = x * (1 / T(y,x \ 1)). (T(x,y) \ 1) * y = y / ((x \ 1) \ 1). x / ((y \ 1) \ 1) = (T(y,x) \ 1) * x. (K(x,y) / x) * y = y / x. (K(x,y) / y) * x = x / y. (x \ y) * x != z | x * (y / x) = z. K(a(x,y,z),x * (y * z)) * (((x * y) * z) / (x * (y * z))) = a(x,y,z). L(x,x,x) \ 1 = 1 / x. L(x * (y / x),x \ y,x \ y) = ((x \ y) \ 1) \ x. (x * (y / x)) * (y / x) = y * (x \ y). T(x,y * y) = L(x,y,y). (x / y) * x = y * ((x / y) * (x / y)). x * ((y / x) * (y / x)) = (y / x) * y. x = (y * (y * x)) / (y * y). (x * (x * y)) / (x * x) = y. x * (x * y) = y * (x * x). x * (y * y) = y * (y * x). x \ y != (z * u) * (z \ 1) | x * T(u,z \ 1) = y. (x * y) * T(y,x \ 1) = (x \ 1) * ((x * y) * (x * y)). (x \ 1) * ((x * y) * (x * y)) = (x * y) * T(y,x \ 1). x * y != z \ (((z * u) / w) * w) | x \ u = y. x \ y = (x * y) / (x * x). (x * y) / (x * x) = x \ y. x * (x * y) != z | y * (x * x) = z. x \ (y * (y * x)) = y * y. T((1 / x) * y,x) = (y * ((1 / x) * (1 / x))) * x. (x * ((1 / y) * (1 / y))) * y = T((1 / y) * x,y). T(x * y,x) = (y * (x * x)) / x. (x * (y * y)) / y = T(y * x,y). x = L(T(x,y * y),y,y). L(T(x,y * y),y,y) = x. x / (y * y) = L((y * y) \ x,y,y). L((x * x) \ y,x,x) = y / (x * x). T(x,y) != z | x * K(x,y) = z. x * K(x,y * y) = L(x,y,y). L(L(x,y,y),y,y) = x. x / (1 / y) = L(x * y,y,y). L(x * y,y,y) = x / (1 / y). L(x,y,y) != (y \ 1) \ z | y * z = x. x * y = L((x \ 1) \ y,x,x). L((x \ 1) \ y,x,x) = x * y. L(x,y,z) != L(L(u,y,z),w,v5) | L(u,w,v5) = x. L(x,y,z) = L(L(L(x,u,u),y,z),u,u). L(L(L(x,y,y),z,u),y,y) = L(x,z,u). x \ y != L(L(z,u,u),u,u) | x * z = y. (x \ 1) * y = x \ L(y,x,x). x \ L(y,x,x) = (x \ 1) * y. x * y = (1 / x) \ L(y,x,x). (1 / x) \ L(y,x,x) = x * y. (x * x) * y = x * (x * L(y,x,x)). x * (x * L(y,x,x)) = (x * x) * y. x * y != L(L(z,u,u),u,u) | z / y = x. x / y = L(x,y,y) * (1 / y). L(x,y,y) * (1 / y) = x / y. x != L(y,z,z) | L(x,z,z) = y. L(x,y,y) != z | L(z,y,y) = x. T(x \ 1,y) != z | (x * y) \ y = z. (x * y) \ y = y * ((x \ 1) * (y \ 1)). x * ((y \ 1) * (x \ 1)) = (y * x) \ x. (x \ 1) * y != T(x \ z,x \ 1) | T(z,x \ 1) = y. T(x,y \ 1) = (y \ x) * ((y \ 1) \ 1). (x \ y) * ((x \ 1) \ 1) = T(y,x \ 1). a(x,y,x \ 1) = T(y,x) \ ((x * y) * (x \ 1)). T(x,y) \ ((y * x) * (y \ 1)) = a(y,x,y \ 1). x \ T(y,x) != z | y * (x \ 1) = z. x * (y \ T(z,y)) != u | x * (z * (y \ 1)) = u. T(x,K(y,z)) = K(y,z) * (x * K(z,y)). K(x,y) * (z * K(y,x)) = T(z,K(x,y)). T(x,K(y,z)) = K(y,z) * (x * K(y,z)). K(x,y) * (z * K(x,y)) = T(z,K(x,y)). x \ y != K(z,u / z) | x * K(z,z \ u) = y. x * K(y,y \ x) = y * (x / y). ((x \ y) \ y) \ y != z | y / x = z. (1 / x) \ ((((x \ 1) \ 1) \ y) * z) = (y * (z / (1 / x))) * (1 / x). L(1 / x,y,z) * T(u,x) = (a(x,z,y) * u) / x. x \ y != ((z \ u) \ u) \ u | x * (u / z) = y. x * (1 / y) = T((y \ 1) \ 1,x) \ x. T((x \ 1) \ 1,y) \ y = y * (1 / x). x \ y != (z / u) \ z | x * u = y. x * y = T(1 / y,x) \ x. T(1 / x,y) \ y = y * x. x \ ((x \ y) \ x) = (y / x) \ 1. x * (y * (z \ 1)) = x * (T(z,y) \ y). x * (T(y,z) \ z) = x * (z * (y \ 1)). x \ (y \ x) = T(y,x) \ 1. T(x,y) \ 1 = y \ (x \ y). x \ ((y / x) \ x) = (x \ y) \ 1. T((x * y) \ 1,x \ 1) = (x \ 1) * (y \ 1). x / (x * (y \ 1)) = T(y,x). T(x,y) = y / (y * (x \ 1)). L(T(x,y),z,u) \ y = y * (L(x,z,u) \ 1). (x * y) \ y = y * (((1 / y) \ x) \ 1). x * (((1 / x) \ y) \ 1) = (y * x) \ x. T(x,y \ 1) \ (1 / y) = (1 / y) * (x \ 1). x \ y = y * (T(x,y) \ 1). x * (T(y,x) \ 1) = y \ x. (x / y) \ y = y * ((y \ x) \ 1). x * ((x \ y) \ 1) = (y / x) \ x. ((1 / x) \ y) \ x = x * ((y * x) \ 1). x != y / (z * z) | z * (z * x) = y. x / (y * y) != z | y * (y * z) = x. x * (y * y) != z | y * (y * x) = z. x / (y * y) = y \ (y \ x). (x \ 1) \ x = x * x. (x \ y) \ (x * y) = x * x. (x \ (x \ y)) \ y = x * x. K(x,y) * y != z | T(y,x) = z. T(x * x,y) = x * (x * K(y,x * x)). x * (x * K(y,x * x)) = T(x * x,y). (x \ 1) * y != (x \ z) * (u * (x \ 1)) | (z * u) * (x \ 1) = y. (x * (y \ x)) * (y \ 1) = (y \ x) * (y \ x). (x * T(y,y \ 1)) * T(y,y \ 1) = T(y,y \ 1) * ((y \ 1) \ x). x \ y != z * (u * u) | x * (u * (u * z)) = y. x * (y * (y * (x \ T(x,z)))) = T(x,z) * (y * y). x * y != z * (u * u) | (u * (u * z)) / y = x. (x * (x * y)) / y = T(x * x,y). a(x,x,y) = (y * (x * x)) \ ((x * x) * y). (x * (y * y)) \ ((y * y) * x) = a(y,y,x). x * (x * y) != z * (x * x) | y = z. x * (y * y) != y * (y * z) | z = x. K(x * x,y) = ((x * x) * y) \ (x * (x * y)). ((x * x) * y) \ (x * (x * y)) = K(x * x,y). x * (y \ (1 / y)) = (y \ 1) * ((y \ 1) * x). (x \ 1) * ((x \ 1) * y) = y * (x \ (1 / x)). (x * (y * y)) \ ((y * y) * x) != z | a(y,y,x) = z. x * y != z \ (u * (u * z)) | (u * u) / y = x. (x * x) / y = ((1 / y) * x) * x. ((1 / x) * y) * y = (y * y) / x. x / (x * y) = T(1 / y,x). T(1 / x,y) = y / (y * x). T(1 / x,y) * (y * x) = y. x \ y != z * (z \ u) | y / u = x. x / y = T(1 / (x \ y),x). T(1 / (x \ y),x) = x / y. x \ y != T(1 / z,u) \ u | x * (u * z) = y. (1 / x) * (y * x) = T(y,x \ 1). x \ (x \ 1) = (x \ 1) * (1 / x). (x \ 1) * (1 / x) = x \ (x \ 1). (T(x,y) \ 1) \ x = x * T(x,y). 1 / T(x * y,x) = T(1 / y,x) / x. T(1 / x,y) / y = 1 / T(y * x,y). x != y \ ((1 / z) \ y) | T(z,y * z) = x. T(x,y * x) = T(1 / x,y) \ 1. 1 / (x \ (y \ x)) = T(y,x). T(x,y) = 1 / (y \ (x \ y)). (T(x,y) \ 1) \ z = (y \ (x \ y)) \ z. R(T(x,y),z,u) \ 1 = y \ (R(x,z,u) \ y). T(x / y,x) \ 1 = x \ y. T(T(x,y) \ 1,y \ 1) = (x \ y) * (y \ 1). L(T(x,y) \ 1,y,z) = (z * y) \ (z * (x \ y)). (x * y) \ (x * (z \ y)) = L(T(z,y) \ 1,y,x). ((x \ y) / y) * (y \ (x \ y)) = (T(x,y) \ 1) * ((x \ y) / y). (T(x,y) \ 1) * ((x \ y) / y) = ((x \ y) / y) * (y \ (x \ y)). R(x,(y \ (z \ y)) \ 1,u) = R(x,T(z,y),u). T(L(x,y,z) \ x,u) \ 1 = x \ (T(a(x \ 1,z,y) \ 1,u) \ x). x \ (T(a(x \ 1,y,z) \ 1,u) \ x) = T(L(x,z,y) \ x,u) \ 1. T(T(x,y) \ 1,y) = (x \ y) / y. T(x,y) \ y != z | y * (x \ 1) = z. x * (L(T(y,x),z,u) \ 1) = L(y,z,u) \ x. (x \ 1) * ((y * (x \ 1)) \ 1) = (x \ y) \ (x \ 1). (1 / x) * (T(y,x \ 1) \ 1) = y \ (1 / x). (x \ 1) * ((y / x) \ 1) = ((1 / x) * y) \ (x \ 1). ((1 / x) * y) \ (x \ 1) = (x \ 1) * ((y / x) \ 1). (x * x) * (L(y,x,x) \ 1) = y \ (x * x). x / T(y * y,x) = y \ (y \ T(x,y * y)). x \ (x \ T(y,x * x)) = y / T(x * x,y). K(x,y) / y != z | 1 / T(y,x) = z. 1 / T(x * x,y) = x \ (x \ K(y,x * x)). x \ (x \ K(y,x * x)) = 1 / T(x * x,y). (x \ (x \ y)) * ((x * x) \ y) = ((x * x) \ y) * (y / (x * x)). ((x * x) \ y) * (y / (x * x)) = (x \ (x \ y)) * ((x * x) \ y). T(x * x,y) = ((x \ (x \ 1)) * y) \ y. ((x \ (x \ 1)) * y) \ y = T(x * x,y). x / (y \ (y \ x)) = ((y * y) \ x) \ x. x / (y * y) != z | y \ (y \ x) = z. T(1 / x,y) \ y != z | y * x = z. x * (x / (x * y)) != z | (1 / y) * x = z. T(1 / x,x \ y) = (x \ y) / (x * (y / x)). (x \ y) / (x * (y / x)) = T(1 / x,x \ y). T(x / y,x) = 1 / (x \ y). a(x \ 1,y,z) \ 1 = 1 / (x \ L(x,z,y)). x \ y != T(1 / (z \ u),z) | x * (z / u) = y. (1 / x) * (x / y) = (1 / (x \ y)) / x. (1 / (x \ y)) / x = (1 / x) * (x / y). ((x \ 1) / y) * x = (1 / x) \ (1 / ((x \ 1) \ y)). (1 / x) \ (1 / ((x \ 1) \ y)) = ((x \ 1) / y) * x. T(x / y,x \ 1) = L(1 / (x \ y),x,x). L(1 / (x \ y),x,x) = T(x / y,x \ 1). (x / (x / y)) / x = 1 / (1 / (x \ y)). (x / y) * x = x * (1 / (x \ y)). x * (1 / (x \ y)) = (x / y) * x. T(1 / x,y) = 1 / T(x,y * x). 1 / T(x,y * x) = T(1 / x,y). x \ y != z \ 1 | T(x / y,x) = z. x \ 1 != y \ z | T(y / z,y) = x. (x * x) \ 1 = x \ (x \ 1). T(T(x / y,x) \ z,x \ y) = z * (x \ y). T(1 / (x \ y),x) != z | x / y = z. x \ y != (z * z) \ 1 | x * (z \ (z \ 1)) = y. x * (y \ (y \ 1)) = T(y * y,x) \ x. T(x * x,y) \ y = y * (x \ (x \ 1)). L(x,y,z) \ L(T(x,u),y,z) != w | K(L(x,y,z),u) = w. x \ L(T(x,y),y,x) != z | K(x,x * y) = z. R(T(x,y),z,u) * (K(x,w) * v5) = (R(T(x,y),z,u) * K(x,w)) * v5. (R(T(x,y),z,u) * K(x,w)) * v5 = R(T(x,y),z,u) * (K(x,w) * v5). x / y != z | T(y \ x,y) = z. x \ y != L(T(z,u),u,u) | x * T(z,u \ 1) = y. (x * x) * T(y,x \ 1) = x * (y * x). x \ T(y,x \ 1) != z | (x \ 1) * T(y,x) = z. ((x * y) \ y) * y != z | y * (x \ 1) = z. L((x \ 1) / y,x,x) = T(1 / ((x \ 1) \ y),x). T(1 / ((x \ 1) \ y),x) = L((x \ 1) / y,x,x). x \ y != L(z * u,u,u) | x * (z / (1 / u)) = y. x * (y / (1 / x)) = T((y * x) * x,x). T((x * y) * y,y) = y * (x / (1 / y)). x * (y / (1 / x)) = (1 / x) \ (y * x). (1 / x) \ (y * x) = x * (y / (1 / x)). (x * x) * (y / (1 / x)) = x * (x * (y * x)). L(x,y,y) = (x / y) / (1 / y). (x / y) / (1 / y) = L(x,y,y). L(T(x * y,z),y,y) = T(x / (1 / y),z). x \ y != L((z \ 1) \ u,z,z) | x * (z * u) = y. x * (x * y) = (1 / x) \ ((x \ 1) \ y). (1 / x) \ ((x \ 1) \ y) = x * (x * y). (x * x) * (x * y) = x * (x * ((x \ 1) \ y)). x * (x * ((x \ 1) \ y)) = (x * x) * (x * y). L(x,y,y) = y * ((y \ 1) * x). x * ((x \ 1) * y) = L(y,x,x). x / y = L(x * (y \ 1),y,y). L(x * (y \ 1),y,y) = x / y. L(x,y \ 1,y) = L(x,y,y). x * ((x \ 1) * y) != z | L(y,x,x) = z. x \ ((x * x) \ y) = (x \ 1) * (x \ (x \ y)). (x \ 1) * (x \ (x \ y)) = x \ ((x * x) \ y). x \ (x \ y) = (x \ 1) * ((1 / x) * y). (x \ 1) * ((1 / x) * y) = x \ (x \ y). x != L(T(y,z),z,z) | T(y,z \ 1) = x. T(x,y \ 1) = L(T(x,y),y \ 1,y). L(T(x,y),y \ 1,y) = T(x,y \ 1). (1 / x) * (x * y) = L(y,x,x). (1 / x) * (x * y) != z | L(y,x,x) = z. T(x * y,x) = L(y,x,x) * x. L(x,y,y) * y = T(y * x,y). x \ ((x * y) * z) = (L(y,x,x) * (z / x)) * x. (L(x,y,y) * (z / y)) * y = y \ ((y * x) * z). (1 / x) \ (x \ y) = x * ((1 / x) * y). x != (y * (z / (u \ 1))) / u | u * ((u \ y) * z) = x. x * ((x \ y) * z) = L(y * (z / (x \ 1)),x,x) * (1 / x). L(x * (y / (z \ 1)),z,z) * (1 / z) = z * ((z \ x) * y). (x \ y) * (1 / x) = ((1 / x) * y) / x. ((1 / x) * y) / x = (x \ y) * (1 / x). x != L(y / z,z,z) | z \ T(y,z) = x. x \ T(y,x) = x * ((x \ 1) * (y / x)). x * ((x \ 1) * (y / x)) = x \ T(y,x). x * y != L(z,x,x) | T(z * (1 / x),x) = y. T(x * (1 / y),y) = (y \ 1) * x. x * y != L(z / (1 / x),x,x) | T(z,x) = y. T(x,y) = (y \ 1) * (x / (1 / y)). x * ((x \ 1) * (x \ y)) != z | T(y,x) / x = z. T(x,y) / y = L(y \ x,y,y). L(x \ y,x,x) = T(y,x) / x. x \ L(y,x,x) != z | (x \ 1) * y = z. L(x,y,y) * (y \ 1) = x / ((y \ 1) \ 1). L((1 / x) * y,x,x) != z | x \ y = z. x \ (x \ 1) = (1 / x) / x. (1 / x) / x = x \ (x \ 1). x * y != L(z * (u \ 1),u,u) | (z / u) / y = x. (x / y) / y = (x * (y \ 1)) * (1 / y). (x * (y \ 1)) * (1 / y) = (x / y) / y. L(T(x * (y \ 1),z),y,y) = T(x / y,z). (x \ 1) * T((1 / (x \ 1)) / (x \ 1),y) = x \ T(x * ((x \ 1) \ 1),y). T(x * y,x) / x = L(y,x,x). x * ((x \ 1) * y) = L(y,x \ 1,x \ 1). L(x,y \ 1,y \ 1) = y * ((y \ 1) * x). x != L(y * z,z,z) | y / (1 / z) = x. x / (1 / y) = (1 / y) * (y * (x * y)). (1 / x) * (x * (y * x)) = y / (1 / x). L(x,y,y) \ x = a(1 / y,y,x). a(1 / x,x,y) = L(y,x,x) \ y. (L(x,y,y) * z) * y = y \ ((y * x) * (z * y)). x \ ((x * y) * (z * x)) = (L(y,x,x) * z) * x. L(x,y,y) * (z / y) = (y \ ((y * x) * z)) / y. (x \ ((x * y) * z)) / x = L(y,x,x) * (z / x). L(x,y * K(z,z \ 1),y * K(z,z \ 1)) * (K(z,z \ 1) * y) = T((y * K(z,z \ 1)) * x,y * K(z,z \ 1)). ((x \ 1) \ y) * x = T(x * (x * y),x). T(x * (x * y),x) = ((x \ 1) \ y) * x. (x * x) \ (x * y) = T(y,x) / x. x \ y != L(z \ u,z,z) | x * (T(u,z) / z) = y. (x \ 1) * (T(y,x) / x) = x \ (x \ y). L(x,y,y) != z | (1 / y) * (y * x) = z. (L(x,y,y) \ 1) * y = y * (T(y * x,y) \ y). x * (T(x * y,x) \ x) = (L(y,x,x) \ 1) * x. T(1 / x,y) * x = K(y,x \ 1). x \ y != z * T(z \ 1,u) | x * K(u,z \ 1) = y. x * K(y,(x \ z) \ 1) = z * T(z \ x,y). x * T(x \ y,z) = y * K(z,(y \ x) \ 1). x * K(y,T(z,x) \ 1) = (z * x) * T((z * x) \ x,y). (x * y) * T((x * y) \ y,z) = y * K(z,T(x,y) \ 1). x * y != z * (z \ u) | x \ u = y. x \ y = K(z,x) * (T(x,z) \ y). K(x,y) * (T(y,x) \ z) = y \ z. x * (y * x) = T(x,x \ 1) * (y * T(x,x \ 1)). T(x,x \ 1) * (y * T(x,x \ 1)) = x * (y * x). x * x = T(x,y) * T(x,y). T(x,y) * T(x,y) = x * x. x * (K(y,x) * z) = ((y * x) / y) * z. ((x * y) / x) * z = y * (K(x,y) * z). (x \ y) * (K(x,x \ y) * z) = (y / x) * z. x * (K(x \ y,x) * z) = (y / (y / x)) * z. (x / (x / y)) * z = y * (K(y \ x,y) * z). x \ y != T(z,u) * T(z,u) | x * (z * z) = y. x * (y * y) = T(y,z) * (T(y,z) * x). T(x,y) * (T(x,y) * z) = z * (x * x). L(x,T(y,z),T(y,z)) = (y * y) \ (T(y,z) * (T(y,z) * x)). (x * x) \ (T(x,y) * (T(x,y) * z)) = L(z,T(x,y),T(x,y)). T(x * y,y) * ((1 / y) \ x) = (x * y) * (x * y). (x / y) * T(1 / (x \ y),x) = (1 / (x \ y)) * (1 / (x \ y)). (1 / (x \ y)) * (1 / (x \ y)) = (x / y) * T(1 / (x \ y),x). R(x * T(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). L(x,y,z) * T(L(x,y,z) \ 1,u) != w | L(x * T(x \ 1,u),y,z) = w. L(x * T(x \ 1,y),z,u) = K(L(x,z,u) \ 1,y). (x / y) * T((x / y) \ 1,z) != u | (x * T(x \ y,z)) / y = u. (x * T(x \ y,z)) / y = K((x / y) \ 1,z). x * y != z * T(z \ 1,u) | K(z \ 1,u) / y = x. K(x \ 1,y) / x = T(1 / x,y). K((x / y) \ 1,z) * y = x * T(x \ y,z). x * y != T(z,z \ u) * w | x \ (((z \ u) \ u) * w) = y. x \ (((x \ y) \ y) * z) = K(x,x \ y) * z. x \ y = K(x,z) * (T(x,z) \ y). K(x,y) * (T(x,y) \ z) = x \ z. (x / y) * z != T(x / y,u) * x | y * T(y \ x,u) = z. x * T(x \ y,z) = K(y / x,z) * y. K(x / y,z) * x = y * T(y \ x,z). x * y != T(x,z) * (u * x) | T(x,z) * T(u,x) = y. T(x,y) * T(z,x) = K(x,y) * (z * x). K(x,y) * (z * x) = T(x,y) * T(z,x). (x * y) * z != T(x * y,x) * T(x,y) | R(x,y,x) = z. R(x,y,x) = K(x * y,x) * T(x,y). K(x * y,x) * T(x,y) = R(x,y,x). T(T(x,y) * z,x) = (K(x,y) * z) / (x \ 1). (K(x,y) * z) / (x \ 1) = T(T(x,y) * z,x). x \ (T(1 / x,y) * z) = (x \ 1) * (x \ (K(1 / x,y) * z)). (x \ 1) * (x \ (K(1 / x,y) * z)) = x \ (T(1 / x,y) * z). x * (K(y,x) * K(x,z)) = T(x,z) * K(y,x). x != T(y,z) * u | y * (K(z,y) * u) = x. x * (K(y,x) * z) = K(y,x) * (x * z). K(x,y) * (y * z) = y * (K(x,y) * z). K(x,y * z) * (y * (z * u)) = T(y * z,x) * L(u,z,y). K(x,y) * (y * z) = ((x * y) / x) * z. K(x,x \ y) * ((x \ y) * z) = (y / x) * z. x * (T(y,x) * z) = T(x,y) * (y * z). T(x,y) * (y * z) = x * (T(y,x) * z). K(x,x * y) = K(x,y * x). K(x,y * x) = K(x,x * y). K(x,y * x) != z | K(x,x * y) = z. x * y != z \ (T(z,u) * w) | x \ (K(z,u) * w) = y. T(x,y) \ (K(x,y) * z) = x \ z. x * (K(x,y) * z) != u | T(x,y) * z = u. T(K(x,y) * z,x) != u | (T(x,y) * z) / x = u. (x \ y) * T((x \ y) \ y,z) = K(x,z) * y. K(x,y) \ (T(x,y) * z) = x * z. (T(x,y) * z) / (x * z) = K(x,y). T(x,y) * z != u | x * (K(x,y) * z) = u. x * (K(x,y) * (x \ z)) = K(x,y) * z. x * y != T(z,u) * (z \ w) | (K(z,u) * w) / y = x. (K(x,y) * z) / T(x,y) = T(x \ z,T(x,y)). x * y != T(z,u) * (z \ w) | x \ (K(z,u) * w) = y. x \ (K(x,y) * z) = K(x,y) * (x \ z). K(x,y) * (x * z) != u | T(x,y) * z = u. T(x,y) * L(x \ T(z,x),u,w) = K(x,y) * T(x * L(x \ z,u,w),x). K(x,y) * T(x * L(x \ z,u,w),x) = T(x,y) * L(x \ T(z,x),u,w). T(x,y) * R(x \ T(z,x),u,w) = K(x,y) * T(x * R(x \ z,u,w),x). K(x,y) * T(x * R(x \ z,u,w),x) = T(x,y) * R(x \ T(z,x),u,w). T(x,y) * K(x,z) = K(x,y) * T(x,z). K(x,y) * T(x,z) = T(x,y) * K(x,z). T(x,y) * (z * (x \ 1)) = K(x,y) * T(z,x). T(x,y) * (T(z,x) \ 1) = K(x,y) * (z \ x). T(x,y) * L(z,x,x) = K(x,y) * T(z * x,x). K(x,y) * T(z * x,x) = T(x,y) * L(z,x,x). K(x,y) \ (z * T(x,y)) = x * T(z,T(x,y)). 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). K(x,y) * (x * z) != u * z | T(x,y) = u. (T(x,y) * z) \ (K(x,y) * (x * (z * u))) = L(L(u,z,x),x * z,K(x,y)). T(x,y) * K(z,T(x,y)) = T(x * K(z,x),y). T(x,y) != T(z,u) | x = T(z * K(y,z),u). T(x,y) != T(z,u) | T(z * K(y,z),u) = x. x != T(y / z,y) | 1 / (y \ z) = x. 1 / (x \ y) = T(T(y \ x,x),y). T(T(x \ y,y),x) = 1 / (y \ x). x * y != (z * x) / (x \ 1) | T(z / (1 / x),x) = y. T(x / (1 / y),y) = T(x * y,y \ 1). (x / (y \ 1)) * x = (y * x) * T(x,y \ 1). (x * y) * T(y,x \ 1) = (y / (x \ 1)) * y. (x \ 1) * T(y,x) = y / ((x \ 1) \ 1). x / ((y \ 1) \ 1) = (y \ 1) * T(x,y). x * y != T(T(z,u),w) * u | x \ (u * T(z,w)) = y. T(x,y) \ (y * T(x,z)) = K(T(x,y),z) * y. (1 / x) * (y * x) != z | T(y,x \ 1) = z. (T(x,y) \ 1) * T(T(x,y) \ 1,y) = T(x,y) \ (y \ (y / x)). T(T(x,y * x),y) = T(y * x,x) / y. T(x * y,y) / x = T(T(y,x * y),x). L(x \ 1,y / x,z) = (z * (y / x)) \ (z * (x \ (x \ y))). (x * (y / z)) \ (x * (z \ (z \ y))) = L(z \ 1,y / z,x). x != (K(y,z) * x) * u | T(K(z,y),x) = u. (K(x,y) * z) * u != z | T(K(y,x),z) = u. (K(x,y) * K(y,z)) * K(y,x) = K(y,z). x != T(y,z) \ 1 | z \ (y \ z) = x. x \ (y \ x) = T((x * y) \ x,x). T((x * y) \ x,x) = x \ (y \ x). T(x,y) \ 1 != T(z,y) | (y * x) \ y = z. T(x,y) != T(z,y) \ 1 | (y * z) \ y = x. (1 / x) * (y / (x \ 1)) = T(y,x). T(x,y) = (1 / y) * (x / (y \ 1)). T(x * y,x) * (z * x) = x * ((T(y,x) * z) * x). x * T(y,x \ 1) != z | y / (x \ 1) = z. ((x * x) * y) / x = y * x. (x / y) / y = (y * y) \ x. x / y = ((y * y) \ x) * y. ((x * x) \ y) * x = y / x. x * y = (y * y) * (x / y). (x * x) * (y / x) = y * x. (x * y) * y = (y * y) * x. x * (x * (y * (x * x))) = ((x * x) * (x * x)) * y. ((x * x) * (x * x)) * y = x * (x * (y * (x * x))). T(x * y,y) = y \ ((y * y) * x). x \ ((x * x) * y) = T(y * x,x). (x * y) * y != z | (y * y) * x = z. ((x * y) * y) / x = y * y. ((x * y) * y) * z = ((y * y) * x) * z. (x * y) * y != (y * y) * z | x = z. T((x * y) \ 1,y) = ((y * y) * x) \ y. (x / y) / y != z | (1 / y) * (y \ x) = z. (1 / x) * (x \ y) = (x * x) \ y. x * y != (z / u) / u | ((u * u) \ z) / y = x. ((x * x) \ y) / (y / x) = 1 / T(x,y / x). x / y = (y * y) \ (x * y). (x * x) \ (y * x) = y / x. x / (x \ y) = ((x \ y) * (x \ y)) \ y. ((x \ y) * (x \ y)) \ y = x / (x \ y). T(((x * x) \ y) \ 1,x) = (y / x) \ x. ((x * x) \ y) / x = (x * x) \ (y / x). x \ y != ((z * z) \ u) * z | x * (u / z) = y. ((x * x) \ y) * (y / x) = x * (((x * x) \ y) * ((x * x) \ y)). x * (((x * x) \ y) * ((x * x) \ y)) = ((x * x) \ y) * (y / x). x != K(y,z) * (y * z) | z * y = x. x * y = ((y * x) * (y * x)) * (K(y,x) / (y * x)). ((x * y) * (x * y)) * (K(x,y) / (x * y)) = y * x. x * y != z * (z \ u) | u / y = x. x / (y / (y \ x)) = (y \ x) * (y \ x). (x * x) \ (y * x) != z | y / x = z. x * ((y * x) * x) = ((1 / x) \ (x * x)) * y. ((1 / x) \ (x * x)) * y = x * ((y * x) * x). (x * x) * (y * x) = ((x * x) * y) * x. ((x * x) * y) * x = (x * x) * (y * x). (x * (y \ x)) / y = (y \ x) * (y \ x). x * y != (z * z) * u | T(x,y) = y \ ((u * z) * z). T(x * x,y) = y \ ((y * x) * x). x \ ((x * y) * y) = T(y * y,x). x != y * (z * z) | z * (z * y) = x. x * (x * (y * y)) = ((x * x) * y) * y. ((x * x) * y) * y = x * (x * (y * y)). x \ y != (z * z) * u | x * ((u * z) * z) = y. x * ((y * z) * z) = x * ((z * z) * y). ((x * y) * y) \ z = ((y * y) * x) \ z. x * y != (z * (z \ u)) * w | T(x,y) = y \ (u * w). T((x \ y) * (x \ y),x) = x \ (y * (x \ y)). x * y != (z * u) * u | x \ ((u * u) * z) = y. (x * (y * y)) \ ((y * y) * x) = a(x,y,y). (x * (((y \ 1) * z) * z)) / (y \ 1) = y \ ((y * x) * (z * z)). (x \ y) * (((x \ 1) * z) * z) = x \ ((y * (z * z)) / x). T(1 / x,y * y) = (y * y) / ((x * y) * y). (x * x) / ((y * x) * x) = T(1 / y,x * x). L((x * y) * y,x,x) = (y * y) / (1 / x). (x * T(y,z)) * T(y,z) = (y * y) * x. x * (x * (x * x)) = ((y * (x * x)) * (x * x)) / y. ((x * (y * y)) * (y * y)) / x = y * (y * (y * y)). x * y != ((z * u) * u) / z | x \ (u * u) = y. x \ (y * y) = y * (y * (x \ 1)). x * (x * (y \ 1)) = y \ (x * x). (x * x) * y != z | (y * x) * x = z. (x * x) \ (y * T(x,z)) = y / T(x,z). x != T(y * z,y) | z / (y \ 1) = x. x / (y \ 1) = (x * (y * y)) / y. (x * (y * y)) / y = x / (y \ 1). x \ y != (z / x) \ 1 | (z \ x) * x = y. (x \ y) * y = (y \ x) \ y. (x \ y) \ x = (y \ x) * x. (x \ y) * ((y \ x) * x) = x. x \ y != ((z / u) \ z) * w | x * (u * w) = y. (x \ (x / y)) * (y * x) = x. ((x \ y) \ x) \ z = ((y \ x) * x) \ z. x \ y = ((y * x) \ y) * y. ((x * y) \ x) * x = y \ x. T(x,y) \ (1 / y) = ((x / y) \ (1 / y)) * (1 / y). ((x / y) \ (1 / y)) * (1 / y) = T(x,y) \ (1 / y). (x \ y) \ (z / (x \ z)) = (y \ x) * x. (x \ y) \ x != z | (y \ x) * x = z. T(x \ (x / y),y * x) = (y * x) \ x. x / (y * x) = x \ (x / y). x * y != (z \ (z / u)) * (u * z) | z / y = x. (x \ y) / y = (x \ y) \ ((x \ y) / x). (x \ y) \ ((x \ y) / x) = (x \ y) / y. (x \ y) / y = (y * x) \ y. x * y != (z / u) \ z | u / y = x. x / y = (y * (y / x)) \ y. (x * (x / y)) \ x = y / x. x * y != ((z * u) \ z) * z | x \ (u \ z) = y. (x * x) \ (y \ x) = ((x * y) \ x) / x. ((x * y) \ x) / x = (x * x) \ (y \ x). x \ y != z * y | (y * x) \ y = z. (x \ y) / y != z | (y * x) \ y = z. T(((x * y) \ x) \ 1,x) = (y \ x) \ x. x / (x \ (x / y)) = ((y * x) \ x) \ x. x / ((x * x) * y) = x \ (x / (y * x)). ((x * y) \ x) * x != z | y \ x = z. x / (y / x) = x * (x / y). (x * (x / y)) * (y / x) = x. (x / (x * (x / y))) * ((x * (x / y)) \ 1) = (x * (x / y)) \ (y / x). x / (y / x) != x * z | x / y = z. (x * (x / y)) \ x != z | y / x = z. x * ((x \ y) \ 1) != z | (y / x) \ x = z. x * (T(y,x * y) \ 1) = (T(x * y,y) / x) \ x. (T(x * y,y) / x) \ x = x * (T(y,x * y) \ 1). (x * x) * (1 / y) = (x * x) / y. x * y != ((1 / z) * u) * u | x \ ((u * u) / z) = y. (x * x) \ ((x * x) / y) = 1 / y. (x / y) * x = (x * x) / T(y,x). (x * x) / T(y,x) = (x / y) * x. L(x,y,y) * (y * x) = ((y * x) * (y * x)) / y. ((x * y) * (x * y)) / x = L(y,x,x) * (x * y). ((x / (1 / y)) \ (1 / y)) * (((1 / y) \ x) \ 1) = ((((1 / y) \ x) \ 1) * (((1 / y) \ x) \ 1)) / y. ((((1 / x) \ y) \ 1) * (((1 / x) \ y) \ 1)) / x = ((y / (1 / x)) \ (1 / x)) * (((1 / x) \ y) \ 1). T(x,y * x) \ 1 = T(x \ 1,y). 1 / T(x,y) != z | K(x,y) / x = z. K(x,y * x) / x = T(1 / x,y). 1 / T(x,x * y) = T(1 / x,y). 1 / T(x,y) = T(1 / x,x \ y). T(1 / x,x \ y) = 1 / T(x,y). (x * (y * (1 / x))) / x = (x \ 1) * y. T((x \ 1) * y,x) = y * (1 / x). ((x \ 1) * y) * (x \ 1) = x \ (y * (1 / x)). x / ((x \ 1) * y) = (1 / (y * (1 / x))) * x. (1 / (x * (1 / y))) * y = y / ((y \ 1) * x). ((x \ 1) * y) * x = x * (y * (1 / x)). T((x \ 1) * y,x) != z | y * (1 / x) = z. (1 / ((x \ 1) * y)) * x = x / (y * (1 / x)). ((x \ 1) * y) \ x = x * ((y * (1 / x)) \ 1). x * ((y * (1 / x)) \ 1) = ((x \ 1) * y) \ x. T(x * T(y / z,y),y \ z) = ((y \ z) \ 1) * x. x * y != (z \ 1) * (u / (1 / z)) | x \ T(u,z) = y. (x \ 1) \ T(y,x) = y / (1 / x). x * y != T(1 / (z \ u),z) | x \ (z / u) = y. (x \ 1) \ (x / y) = (1 / (x \ y)) / (1 / x). (1 / (x \ y)) / (1 / x) = (x \ 1) \ (x / y). x * y != T(T(z,u),u) | x \ z = y. (x \ 1) \ y = T(y,x) / (1 / x). T(x,y) / (1 / y) = (y \ 1) \ x. T(x,y \ 1) = ((y \ 1) \ 1) * (x / y). ((x \ 1) \ 1) * (y / x) = T(y,x \ 1). x != T(y,z) / z | (1 / z) * y = x. (1 / x) * y = (x * x) \ (x * y). (x * x) \ (x * y) = (1 / x) * y. x \ y != T(z,u) / u | x * ((1 / u) * z) = y. (x * x) * ((1 / x) * y) = x * y. (x * x) \ (x * y) != z | (1 / x) * y = z. (x / (x * y)) * y = K(x,y \ 1). K(x,y) * (y \ K(y,x)) = y \ 1. (x \ y) / (T(x,z) \ y) = K(x,z). (T(R(x,y,z),u) * (y * z)) / ((x * y) * z) = K(R(x,y,z),u). T((x / y) \ 1,x) = 1 / (y \ x). x * y != T(z,L(z,u,w)) | x \ z = y. (1 / L(x,y,z)) \ x = x / (L(x,y,z) \ 1). x / (L(x,y,z) \ 1) = (1 / L(x,y,z)) \ x. T(x,y) / y = y * ((y \ (1 / y)) * x). x * ((x \ (1 / x)) * y) = T(y,x) / x. x \ ((1 / x) * ((x * x) * y)) = (x \ 1) * T(y * x,x). (x \ 1) * (y * y) = x \ (y * y). x * (x * y) = (1 / y) \ (x * x). (1 / x) \ (y * y) = y * (y * x). x * (T(y,x) \ x) = y \ (x * x). x * (y \ x) = T(y,x) \ (x * x). T(x,y) \ (y * y) = y * (x \ y). (x / (y \ 1)) * y = x * (y * y). x * y != x / T(z,x) | T(1 / z,x) = y. T(1 / x,y * y) = 1 / T(x,y * y). 1 / T(x,y * y) = T(1 / x,y * y). x * y != z / (u \ z) | x \ u = y. (x * x) \ y = 1 / (y \ (x * x)). 1 / (x \ (y * y)) = (y * y) \ x. x * (1 / y) != z / y | L(z,y,y) = x. L(x * x,y,y) = x * x. x * y != x / T(x,z) | T(x,z) \ 1 = y. T(x * x,y) \ 1 = 1 / T(x * x,y). 1 / T(x * x,y) = T(x * x,y) \ 1. (x * x) * y = (x * x) / (y \ 1). (x * x) / (y \ 1) = (x * x) * y. (x \ 1) / x = L((1 / x) * (1 / x),y,y). L((1 / x) * (1 / x),y,y) = (x \ 1) / x. a(x,x,y * y) = 1. x \ y != L(z * z,u,u) | x * (z * z) = y. x * (y * y) = T((y * y) * x,x). T((x * x) * y,y) = y * (x * x). x * (y * y) = (1 / x) \ (y * y). (1 / x) \ (y * y) = x * (y * y). x * y != L(z * z,u,u) | x \ (z * z) = y. ((x * x) * y) \ (x * x) = y \ 1. x \ (y * y) = ((y * y) \ x) \ 1. ((x * x) \ y) \ 1 = y \ (x * x). L(x * x,y,z) = L(L(x * x,y,z),u,u). L(L(x * x,y,z),u,u) = L(x * x,y,z). (x * x) * T(y * y,z) = x * (x * T(y * y,z)). (x * x) * (1 / y) != z | (x * x) / y = z. (x \ (1 / x)) / T(y,x \ 1) = ((x \ 1) / y) * (x \ 1). T(x,y) \ 1 = T(x \ 1,y / x). T(x \ 1,y / x) = T(x,y) \ 1. T(x,x * y) \ 1 = T(x \ 1,y). T(x,y) \ 1 = T(x \ 1,x \ y). T(x \ 1,x \ y) = T(x,y) \ 1. x / y != T(1 / y,z) | K(y \ 1,z) = x. K(x \ 1,y) = K(x,y * x). x / y != T(1 / y,z) | K(z,y \ 1) = x. K(x,y \ 1) = K(y,x * y). x != K(y,z * y) | K(y,y * z) = x. K(x,x * y) = K(x \ 1,y). K(x \ 1,y) = K(x,x * y). x \ y != K(z,u * z) | x * K(z \ 1,u) = y. x * K(x \ 1,y) = T(x,x * y). K(x \ 1,y / x) = K(x,y). K(x,x * y) = K(y,x \ 1). K(x,y \ 1) = K(y,y * x). x \ y != K(z,u * z) | x * K(u,z \ 1) = y. x * K(y,x \ 1) = T(x,x * y). L(x,K(y,z \ 1),z) = x. K(x,y \ 1) * ((x * y) * z) = T(x * y,y) * z. x \ y != K(z \ 1,u) | x * K(z,z * u) = y. x * K(y,y * x) = T(x,y \ 1). K(x \ 1,x \ y) = K(x,y). L(x,y \ 1,K(y,z)) = x. (x \ K(x,y)) * z = K(x,y) * ((x \ 1) * z). K(x,y) * ((x \ 1) * z) = (x \ K(x,y)) * z. x * (K(y,x \ 1) * z) = T(x,x * y) * z. L(x,y \ z,K(y,z)) = x. (K(x,y) * ((x \ y) * z)) / ((x \ y) * z) = R(K(x,y),x \ y,L(z,x \ y,K(x,y))). R(K(x,y),x \ y,L(z,x \ y,K(x,y))) = (K(x,y) * ((x \ y) * z)) / ((x \ y) * z). x * (1 / y) != T(z,y) | (y \ 1) * x = z. T(x,y) != z * (1 / y) | (y \ 1) * z = x. T(x * (1 / y),y) != z | (y \ 1) * x = z. (1 / x) / ((x \ 1) \ y) = (1 / x) * ((1 / x) / T(y,x)). (1 / x) * ((1 / x) / T(y,x)) = (1 / x) / ((x \ 1) \ y). (x * x) * (((1 / x) * y) * z) = x * ((y * (z * x)) / x). T(x * y,(1 / x) * y) = (1 / ((1 / x) * y)) \ (x * x). (x * x) * ((1 / T(x,y)) * z) = T(x,y) * z. (x \ 1) / (x \ K(x,y)) = K(y,x). (x \ 1) / (x \ K(x,y)) != z | K(y,x) = z. T(1 / (x \ y),y) = (y / x) \ 1. x \ y != T((z / u) \ 1,z) | x * (1 / (u \ z)) = y. x * (1 / (y \ x)) = ((x / y) \ 1) * x. ((x / y) \ 1) * x = x * (1 / (y \ x)). T(x \ 1,y) = 1 / ((x \ y) \ y). 1 / ((x \ y) \ y) = T(x \ 1,y). x / (y * y) = ((y * y) / x) \ 1. ((x * x) / y) \ 1 = y / (x * x). (1 / x) \ (y * y) != z | x * (y * y) = z. (1 / x) \ y != z | T(y * x,x) = z. T((x * x) * y,y) = x * (x * y). (x * (x * y)) * y = y * ((x * x) * y). (x / y) * (1 / y) = x * ((1 / y) * (1 / y)). x * ((1 / y) * (1 / y)) = (x / y) * (1 / y). (x / (y * y)) * (y \ (y \ 1)) = x * ((y \ (y \ 1)) * (y \ (y \ 1))). x * ((y \ (y \ 1)) * (y \ (y \ 1))) = (x / (y * y)) * (y \ (y \ 1)). 1 / (x \ y) != z | T(x / y,x) = z. T(x / (y * y),x) = (y * y) \ x. ((x * x) \ y) \ 1 != z | y \ (x * x) = z. 1 / (x * (x * y)) = (x * x) \ (1 / y). x \ y != (z * z) / (u \ 1) | x * ((z * z) * u) = y. x * ((y * y) * x) = (x * (y * y)) * x. (x * (y * y)) * x = x * ((y * y) * x). T((x * y) * y,x) = x * (y * y). x != y * ((y \ z) * (y \ u)) | (z * (((1 / y) * u) * y)) / y = x. (x * (((1 / y) * x) * y)) / y = (1 / y) \ ((y \ x) * (y \ x)). x \ ((x * (y * y)) * z) = ((y * y) * (z / x)) * x. (x * y) \ (y * y) = (x / y) \ 1. a(T(x \ 1,y) \ 1,z,u) = a(T(x,x * y),z,u). a(T(x,x * y),z,u) = a(T(x \ 1,y) \ 1,z,u). T(x \ 1,x \ y) \ z = (T(x,y) \ 1) \ z. T((x / y) \ 1,x) != z | 1 / (y \ x) = z. ((x / y) \ 1) \ x = x * (y \ x). T(x \ 1,y) \ 1 = (x \ y) \ y. x / ((y \ z) \ z) != u | x / T(y,y \ z) = u. 1 / T(x,x \ y) = T(x \ 1,y). 1 / x != T(y,z) | z \ (y \ z) = x. x \ ((y \ 1) \ x) = (y \ x) \ x. 1 / T(x,y) = T(x \ 1,y * x). T(x \ 1,y * x) = 1 / T(x,y). 1 / x = T(x \ 1,L(x,y,z)). T(x \ 1,L(x,y,z)) = 1 / x. 1 / (x / y) = T((y \ x) \ 1,x). T((x \ y) \ 1,y) = 1 / (y / x). x \ y != T(z \ 1,L(z,u,w)) | x * (1 / z) = y. L(x,y,z) * (1 / x) = (x \ 1) * L(x,y,z). L(x,y,z) * (1 / x) != u | (x \ 1) * L(x,y,z) = u. x != y / (z * z) | z \ (z \ y) = x. x \ (x \ y) = ((x * x) / y) \ 1. ((x * x) / y) \ 1 = x \ (x \ y). T(x \ y,x * y) = (x * x) \ (x * y). T(x \ (x \ y),y) = (x * x) \ y. x * y != T(z,x) | z * (x \ 1) = y. ((x * y) * y) * (x \ 1) = y * y. (x * x) * (x * (y * y)) = (x * ((x * y) * y)) * x. (x * ((x * y) * y)) * x = (x * x) * (x * (y * y)). T(T(x * (y * y),z),x) = T((x * y) * y,z). x * y != (z * u) \ (u * u) | x \ ((z / u) \ 1) = y. x \ ((y / x) \ 1) = x * ((y * x) \ 1). (x \ 1) \ y = y * ((x \ y) \ y). x * ((y \ x) \ x) = (y \ 1) \ x. T(x,y) \ 1 = ((1 / x) \ y) \ y. ((1 / x) \ y) \ y = T(x,y) \ 1. (x \ y) \ 1 = ((x / y) \ y) \ y. ((x / y) \ y) \ y = (x \ y) \ 1. 1 / T(x,y) = T(x \ 1,x * y). T(x \ 1,x * y) = 1 / T(x,y). x * (x / y) = ((y \ x) \ 1) \ x. ((x \ y) \ 1) \ y = y * (y / x). x * ((y \ x) \ x) != z | (y \ 1) \ x = z. T(1 / (x / y),x) = (y \ x) \ 1. ((x \ y) * y) \ y = 1 / (y / x). x / (1 / (x / y)) = (y \ x) * x. (1 / (x / y)) * x = x * ((y \ x) \ 1). x \ y != ((z * z) / u) \ 1 | x * (z \ (z \ u)) = y. x * (y \ (y \ x)) = ((y * y) \ x) * x. ((x * x) \ y) * y = y * (x \ (x \ y)). ((x \ (1 / x)) / y) \ 1 = (x \ 1) \ ((x \ 1) \ y). (x \ (x \ y)) * y = y * ((x * x) \ y). K(x,y * y) \ 1 = y \ (y \ T(y * y,x)). x \ (x \ T(x * x,y)) = K(y,x * x) \ 1. K(x,y \ (y \ z)) = K((y * y) / z,((y * y) / z) * x). K((x * x) / y,((x * x) / y) * z) = K(z,x \ (x \ y)). ((x * x) * y) \ 1 = x \ (x \ (y \ 1)). (x \ y) * (z * z) = x \ ((y * ((x * z) * z)) / x). x \ ((y * ((x * z) * z)) / x) = (x \ y) * (z * z). x * ((y \ x) \ x) != z | (y * (x / y)) * y = z. (x * (y / x)) * x = (x \ 1) \ y. x * y != z * ((u \ z) \ z) | ((u \ 1) \ z) / y = x. ((x \ 1) \ y) / x = x * (y / x). x / (T(y,x) \ 1) = (1 / y) \ x. (T(x,y) \ 1) \ y = y / (1 / x). 1 / T(T(x,y) \ 1,y) = ((1 / x) \ y) / y. (x * y) \ T(x,y \ 1) = T(y,T(x,y \ 1)) \ 1. T(x,T(y,x \ 1)) \ 1 = (y * x) \ T(y,x \ 1). x / ((y \ x) \ 1) = (y / x) \ x. ((x * ((y / z) \ z)) * ((y \ z) \ 1)) / z = R(x,(y / z) \ z,((y / z) \ z) \ z). R(x,(y / z) \ z,((y / z) \ z) \ z) = ((x * ((y / z) \ z)) * ((y \ z) \ 1)) / z. x \ y != T(z \ 1,z * u) | x * (1 / T(z,u)) = y. x * (1 / T(x,y)) = K(x \ 1,x * y). K(x \ 1,x * y) = x * (1 / T(x,y)). T(L(x,y,z) \ x,(x \ L(x,y,z)) * u) = 1 / T(x \ L(x,y,z),u). L((x \ y) * y,x \ y,x \ y) = y * (y / x). x / (x * (x / y)) = (y \ x) \ 1. T(1 / x,y) = ((x \ y) \ y) \ 1. ((x \ y) \ y) \ 1 = T(1 / x,y). ((x \ y) \ 1) * (y \ 1) != z | y \ (1 / (y / x)) = z. T(1 / (x * (x / y)),x) = ((y / x) \ x) \ 1. (x \ y) \ y = 1 / (y / (y * x)). 1 / (x / (x * y)) = (y \ x) \ x. x / (1 / y) = ((y \ x) \ x) * x. ((x \ y) \ y) * y = y / (1 / x). (x * (y / x)) * x != z | x * (x * ((1 / x) * y)) = z. x * (x * ((1 / x) * y)) = (x \ 1) \ y. (x * (y / x)) * x != z | (x * x) * (x \ y) = z. (x * x) * (x \ y) = (x \ 1) \ y. x * y != (y \ 1) \ (y \ z) | z * (1 / y) = x. x * (1 / y) = y * ((y \ x) / y). x * ((x \ y) / x) = y * (1 / x). x \ y != (z * (u / z)) * z | x * ((z \ 1) \ u) = y. x * ((x \ 1) \ y) = ((1 / x) \ x) * y. ((1 / x) \ x) * y = x * ((x \ 1) \ y). x * y != (z * (u / z)) * z | x \ ((z \ 1) \ u) = y. x \ ((x \ 1) \ y) = x * ((1 / x) * y). (x * y) * x = (x \ 1) \ (y * x). (x \ 1) \ (y * x) = (x * y) * x. (x * y) * y = (y \ 1) \ (y * x). (x \ 1) \ (x * y) = (y * x) * x. ((x \ 1) \ y) * x = (x * x) * (x * (y / x)). (x * x) * (x * (y / x)) = ((x \ 1) \ y) * x. x / ((y * x) \ 1) = (1 / ((1 / x) \ y)) \ x. (1 / ((1 / x) \ y)) \ x = x / ((y * x) \ 1). x / (y \ 1) = (1 / T(y,x)) \ x. (1 / T(x,y)) \ y = y / (x \ 1). x / (x \ y) = (1 / (x / y)) \ x. (1 / (x / y)) \ x = x / (x \ y). (x \ 1) \ y = y / (1 / T(x,y)). x / (1 / T(y,x)) = (y \ 1) \ x. (((1 / x) \ y) \ 1) \ x = x / (1 / (y * x)). x * y != (z / u) \ u | x \ (u / ((z \ u) \ 1)) = y. x \ (x / ((y \ x) \ 1)) = (x \ y) \ 1. (x * (y * z)) / (L(z,y,x) \ 1) = ((x * y) / (x * (y * z))) \ (x * (y * z)). ((x * y) / (x * (y * z))) \ (x * (y * z)) = (x * (y * z)) / (L(z,y,x) \ 1). x / (y \ 1) = ((x / y) / x) \ x. ((x / y) / x) \ x = x / (y \ 1). (x * ((y / z) \ z)) * ((y \ z) \ 1) = ((y \ z) \ 1) \ (((y \ z) \ x) * z). ((x \ y) \ 1) \ (((x \ y) \ z) * y) = (z * ((x / y) \ y)) * ((x \ y) \ 1). T(x,x \ y) \ 1 = T(1 / x,y). x \ 1 != T(y,z) | (z / y) / z = x. (x / (1 / y)) / x = (y \ x) \ x. T(1 / x,y) * T(((x \ y) \ y) \ 1,z) = ((x \ y) \ y) \ T(1 / ((x \ y) \ y),z). ((x \ y) \ y) \ T(1 / ((x \ y) \ y),z) = T(1 / x,y) * T(((x \ y) \ y) \ 1,z). T(x,y) \ 1 = T(1 / x,y * x). T(1 / x,y * x) = T(x,y) \ 1. 1 / T(x,y) = ((x \ 1) \ y) \ y. ((x \ 1) \ y) \ y = 1 / T(x,y). T(x,x \ y) * y = y / (1 / x). (x * x) * y = (x \ 1) \ (x * y). (x \ 1) \ (x * y) = (x * x) * y. x * y != (z \ 1) \ (z \ u) | x \ L(u,z,z) = y. (x * x) \ L(y,x,x) = x \ (x \ y). x * y != z \ (z * u) | x \ u = y. (x * x) \ y = x \ ((x \ 1) * y). x \ ((x \ 1) * y) = (x * x) \ y. (x \ 1) * ((x * x) * y) = x * y. x \ y != z * (u \ (u * (z \ w))) | x * w = y. (x \ 1) * y = x * ((x * x) \ y). x * ((x * x) \ y) = (x \ 1) * y. (x * x) * (T(y,x) \ 1) = (x \ 1) \ (y \ x). x \ (y * (1 / x)) = (x \ y) / x. x * y != (z * z) * (1 / u) | x \ ((z * z) / u) = y. x \ ((y * y) / x) = (x \ (y * y)) / x. (x \ (y * y)) / x = x \ ((y * y) / x). x * y != (z \ 1) * (1 / z) | x \ (z \ (z \ 1)) = y. x \ (x \ (x \ 1)) = (x \ (x \ 1)) / x. (x \ (x \ 1)) / x = x \ (x \ (x \ 1)). x * y != 1 * z | x \ z = y. x \ (1 / x) = (x \ 1) / x. (x \ 1) / x = x \ (1 / x). x * y != z * ((z \ u) / z) | (u * (1 / z)) / y = x. (x * (1 / y)) / y = y \ (y \ x). x * (y / x) = (x * y) * (1 / x). (x * y) * (1 / x) = x * (y / x). x \ (y * (1 / x)) != z | (x \ y) / x = z. x * ((1 / x) * (y / x)) = y * (1 / x). x * (((1 / x) * y) * z) = (y * (z * x)) * (1 / x). (x * (y * z)) * (1 / z) = z * (((1 / z) * x) * y). T(x,y * (1 / x)) = T(x,x \ y). x * ((T(y,x) \ 1) / x) = (y \ x) * (1 / x). (x \ 1) * (y * x) = x * (y / x). x \ y != (((z / u) / w) * w) * u | x * z = y. (x \ 1) * y = x * ((y / x) / x). x * ((y / x) / x) = (x \ 1) * y. (R(x,y,z) \ 1) \ ((x * y) * z) = ((y * z) * R(x,y,z)) * R(x,y,z). ((x * y) * R(z,x,y)) * R(z,x,y) = (R(z,x,y) \ 1) \ ((z * x) * y). (x * x) * ((y * x) * x) = x * (x * (x * (x * y))). x / (1 / (y * T(x,x \ 1))) = (((x \ 1) \ y) \ 1) \ x. x / T(y \ 1,x * y) = (y \ 1) \ x. x * y != ((z / u) / z) \ z | x \ (z / (u \ 1)) = y. x \ (x / (y \ 1)) = (x \ (x / y)) \ 1. (x \ (x / y)) \ 1 = x \ (x / (y \ 1)). T(x,y) \ 1 != z | x \ K(x,y) = z. x \ K(x,x \ y) = T(1 / x,y). x \ y != T(z,z \ u) \ 1 | x * T(1 / z,u) = y. (x \ y) * T(1 / x,y) = x \ (x \ y). x * T(1 / x,y) = K(x,x \ y). T(x \ (x / (1 / y)),x) = (y \ x) \ x. ((x \ y) \ y) * y != z | y / (1 / x) = z. x \ y != ((z \ 1) \ u) \ u | x * (1 / T(z,u)) = y. x * (1 / T(y,x)) = ((y \ 1) \ 1) \ x. ((x \ 1) \ 1) \ y = y * (1 / T(x,y)). L(x,y,((z \ 1) \ u) \ u) = L(x,y,T(z,u) \ 1). x \ y != (z * z) * ((1 / z) * u) | x * (z * u) = y. (x \ 1) * (x * y) = x * ((1 / x) * y). x \ y != (z \ 1) * ((z * z) * u) | x * (z * u) = y. T(1 / ((x * x) * y),x \ 1) = (x \ 1) / (x * y). L((x * x) * y,x,x) = x * (x * y). (x * x) \ y != x \ z | (x \ 1) * y = z. x \ (x \ (1 / x)) = (x * x) \ (x \ 1). (x * x) \ (x \ 1) = x \ (x \ (1 / x)). x \ (x \ (x \ 1)) = (x * x) \ (1 / x). (x * x) \ (1 / x) = x \ (x \ (x \ 1)). x \ (x \ (y * y)) = (x * x) \ (y * y). (x * x) \ (y * y) = x \ (x \ (y * y)). x * y != (x \ 1) * z | (x * x) * y = z. (x \ 1) * y != x * z | (x * x) * z = y. x \ ((x \ 1) * y) != z | (x * x) \ y = z. x * y != (z * (1 / u)) / u | T(x,y) = y \ (u \ (u \ z)). T(1 / T(x,y * (1 / x)),y * (1 / x)) = (y * (1 / x)) \ (x \ (x \ y)). x \ y != ((z / u) * u) / w | x * (z / w) = y. x * (y / x) = x \ (y / (1 / x)). x \ (y / (1 / x)) = x * (y / x). x \ y != (z * (1 / u)) / u | x * (u \ (u \ z)) = y. ((1 / x) * y) * (x \ (x \ z)) = (x \ (y * (z * (1 / x)))) / x. (x \ (y * (z * (1 / x)))) / x = ((1 / x) * y) * (x \ (x \ z)). x * y != (z * (1 / u)) / u | (u \ (u \ z)) / y = x. (x \ (x \ y)) / x = (x * x) \ (y * (1 / x)). (x * x) \ (y * (1 / x)) = (x \ (x \ y)) / x. x / (x \ (x \ y)) = x * (x / (y * (1 / x))). x * (x / (y * (1 / x))) = x / (x \ (x \ y)). x * y != z * ((z * u) / z) | (u * z) / y = x. (x * y) / (1 / y) = y * (y * x). x * (y * (1 / x)) = (1 / x) * (y / (1 / x)). (1 / x) * (y / (1 / x)) = x * (y * (1 / x)). (x \ 1) * (x * T(y,x)) = x * (y / x). (x * (y / x)) * L(z,y * x,x \ 1) = (x \ 1) * ((y * x) * z). (x \ 1) * L(x,y,z) = x * (a(x \ 1,z,y) / x). x * (a(x \ 1,y,z) / x) = (x \ 1) * L(x,z,y). (x \ 1) * ((x * y) * y) = x * ((y * y) / x). x * y != (z \ 1) * (u * (z \ 1)) | x \ (z \ (u / z)) = y. x \ (x \ (y / x)) = ((y * (x \ 1)) / x) / x. ((x * (y \ 1)) / y) / y = y \ (y \ (x / y)). x * y != z * ((u / z) / z) | ((z \ 1) * u) / y = x. ((x \ 1) * y) / x = x \ (y / x). x * ((x \ (x \ y)) / x) = (x \ 1) * (y * (1 / x)). (x \ 1) * (y * (1 / x)) = x * ((x \ (x \ y)) / x). x * T(1 / x,y) != z | K(x,x \ y) = z. (x * x) * T(1 / x,y) = (x \ 1) \ K(x,x \ y). (x \ 1) \ K(x,x \ y) = (x * x) * T(1 / x,y). x * (x * (y / x)) = y / (1 / x). x \ y != z * (u / z) | x * ((z * u) * (1 / z)) = y. x * ((x * y) * (1 / x)) = y / (1 / x). x \ y != z * ((z \ u) / z) | x * (u * (1 / z)) = y. x * (y * (1 / x)) = (x \ y) / (1 / x). (x \ y) / (1 / x) = x * (y * (1 / x)). x \ y != z * ((z * u) / z) | x * (u * z) = y. x * (y * x) = (x * y) / (1 / x). (x * y) / (1 / x) = x * (y * x). (x \ 1) \ (y / x) = (x \ 1) * (y / (x \ 1)). (x \ 1) * (y / (x \ 1)) = (x \ 1) \ (y / x). x * (x * (y / x)) != z | y / (1 / x) = z. (x * (y \ 1)) / y = (y \ 1) * ((y \ 1) * x). (x \ 1) * ((x \ 1) * y) = (y * (x \ 1)) / x. ((x \ (y \ x)) * z) / T(y,x) = T(y,x) \ (z / T(y,x)). K(x,y) * T(y,y * x) = L(y,x,y). K(x,x * y) * K(y,x) = x \ L(x,y,x). L(T(x,y \ 1),y,y) != z | T(x,y) = z. T(T(x * y,y),x) != z | ((1 / y) / x) \ 1 = z. x * (y * y) != z | T((x * y) * y,x) = z. ((((1 / x) * y) * z) * x) * x != u | x * ((y * (z * x)) / x) = u. x \ y != z | T(y,x) * (x \ 1) = z. x \ (y / x) != z | (x \ y) * (x \ 1) = z. x * (y \ (1 / y)) != z | (y \ 1) * ((y \ 1) * x) = z. (T(x,y) \ 1) \ x != z | x * T(x,y) = z. T(1 / x,y) != z | y / (y * x) = z. x != T(y,z \ 1) | T(y,1 / z) = x. T(x,1 / y) = L(T(x,y),y \ 1,y). L(T(x,y),y \ 1,y) = T(x,1 / y). T(x,y) * K(x * y,x) = R(x,y,x). K(x \ 1,y) != z | K(x,x * y) = z. K(x,y \ 1) != z | K(y,y * x) = z. (1 / x) * (1 / x) != y | x \ (1 / x) = y. (x * y) \ x != z | (y \ x) / x = z. (x * x) \ ((x * x) \ y) = x \ (x \ (x \ (x \ y))). (x * x) \ (y / (x * x)) = x \ (x \ ((x * x) \ y)). x != y * (y * z) | z * (y * y) = x. x * (y * y) = L((y * y) * x,y,y). L((x * x) * y,x,x) = y * (x * x). x \ y != L((z * z) * u,z,z) | x * (z * (z * u)) = y. x * (x * (x * y)) = (1 / x) \ ((x * x) * y). (1 / x) \ ((x * x) * y) = x * (x * (x * y)). x * y != T(z,u) * K(z * u,z) | x \ R(z,u,z) = y. x \ R(x,y,x) = K(x,y) * K(x * y,x). K(x,y) * K(x * y,x) = x \ R(x,y,x). T(x,y) * K(x,x * y) = R(x,y,x). T(x,y) * K(x,y * x) = R(x,y,x). x != T(y,z) \ y | K(z,y) = x. K(x * y,x) = K((1 / y) \ x,x). K((1 / x) \ y,y) = K(y * x,y). K(x \ y,y) = K(y * (x \ 1),y). K(x * (y \ 1),x) = K(y \ x,x). x \ y != (1 / z) * K(u,z \ 1) | x * T(1 / z,u) = y. (x * x) * T(1 / x,y) = x * K(y,x \ 1). T(x,y * K(z,z \ 1)) = T(x,y). T(x,y) = T(x,K(z \ 1,z) * y). T(x,K(y \ 1,y) * z) = T(x,z). T(x,(1 / y) * z) = T(x,(y \ 1) * z). T(x,y * (z * K(u,u \ 1))) = T(x,y * z). T(x,((y \ 1) \ 1) \ z) = T(x,y \ z). L(x,y,z) * K(u,L(x,y,z)) = L(x * K(u,x),y,z). T(x * ((y \ 1) \ 1),y) = (y \ 1) \ x. x * y != z * L(u,w \ z,w) | (w * ((w \ z) * u)) / y = x. (x * ((x \ y) * z)) / y = L(T(z,y),x \ y,x). x \ T(y,y \ z) != u | x \ ((y \ z) \ z) = u. (x \ y) \ ((x \ y) \ y) = (y / x) \ x. x \ T(y,x \ 1) != z | L(y * (1 / x),x,x) = z. L(x * (1 / y),y,y) = (y \ 1) * T(x,y). x \ (y \ (1 / x)) = (x \ 1) * T((y / (1 / x)) \ 1,x). (x \ 1) * T((y / (1 / x)) \ 1,x) = x \ (y \ (1 / x)). x \ y != T(z * ((1 / z) * u),z) | x * (z * (u / z)) = y. (x * y) * (x * (z / x)) = (x * (y * ((1 / x) * z))) * x. (x * (y * ((1 / x) * z))) * x = (x * y) * (x * (z / x)). R(x,y,K(z,y)) = x. (x * y) * K(z,y) = x * T(y,z). (x * y) * K(z,y) = x * ((z * y) / z). (x * (y \ z)) * K(y,y \ z) = x * (z / y). x * K(y,z \ x) = z * T(z \ x,y). x * T(x \ y,z) = y * K(z,x \ y). x * K(y,z) = (x / z) * T(z,y). (x / y) * T(y,z) = x * K(z,y). (x * y) * K(y,z) = x * T(y,z). L(x,y,z) * K(u,a(1 / x,z,y)) = x * T(a(1 / x,z,y),u). (x / y) * T(y,z) = x * K(y,z). x * K(y \ x,z) = y * T(y \ x,z). x * T(x \ y,z) = y * K(x \ y,z). T(x * y,K(y,z)) = K(y,z) \ (x * T(y,z)). K(x,y) \ (z * T(x,y)) = T(z * x,K(x,y)). (x * y) \ (x * T(y,z)) = K(y,z). x * y != (z * u) * K(u,w) | x \ (z * T(u,w)) = y. x \ (y * T(y \ x,z)) = K(y \ x,z). 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) * z) * K(y * z,u) = R(x,y,z) * T(y * z,u). R(x * y,K(y,x),K(x,z)) \ (y * T(x,z)) = K(y,x) * K(x,z). ((x * y) * T(z,u)) / ((y * z) * K(z,u)) = R(R(x,y,z),y * z,K(z,u)). (x * L(y,z,u)) * K(y,w) = ((x / y) * L(y,z,u)) * T(y,w). ((x / y) * L(y,z,u)) * T(y,w) = (x * L(y,z,u)) * K(y,w). ((1 / x) \ y) * K(x,z) = T(y,x \ 1) * T(x,z). T(x,y \ 1) * T(y,z) = ((1 / y) \ x) * K(y,z). (x * (y * y)) * K(y,z) = (x / (y \ 1)) * T(y,z). (x / (y \ 1)) * T(y,z) = (x * (y * y)) * K(y,z). x * y != T(z,u) * u | (u * z) / y = x. (K(x,y) * z) / T(x,y) = T(z,K(x,y)) / x. (x / y) * T(y,z) != u | (x * T(y,z)) / y = u. (x * T(y,z)) / y = x * K(y,z). (x * K(y,z)) \ (x * T(y,z)) = y. (x * K(y,z)) * L(y,u,w) = ((x / y) * L(y,u,w)) * T(y,z). ((x / y) * L(y,z,u)) * T(y,w) = (x * K(y,w)) * L(y,z,u). (x * y) * K(y,z) != u | x * T(y,z) = u. (x * (y * z)) \ ((x * y) * T(L(z,y,x),u)) = K(L(z,y,x),u). x \ (x \ (y * T(x * x,z))) = y * K(x * x,z). (x / y) * T((x / y) \ x,z) = x * K(y,z). x / y = (x / T(y,z)) * K(y,z). (x / T(y,z)) * K(y,z) = x / y. x * y = (x / K(y,z)) * T(y,z). (x / K(y,z)) * T(y,z) = x * y. (x * K(y,z)) * y = x * T(y,z). T(x * K(y,z),y) = y \ (x * T(y,z)). (x * K(y,z)) * y != u | x * T(y,z) = u. (x * ((y \ z) \ z)) / y = x * K(y,y \ z). (T(x,y) * z) / x = T(z,T(x,y)) * K(x,y). T(x,T(y,z)) * K(y,z) = (T(y,z) * x) / y. T(x,y * K(x,z)) = (y * T(x,z)) / (y * K(x,z)). (x * T(y,z)) / (x * K(y,z)) = T(y,x * K(y,z)). (x / (y \ z)) * K(z / y,y) = x / (z / y). (x * K(y,z)) * z = x * T(z,y). (x * (y * K(z,y))) * z = (x * y) * T(z,y). x != (y / z) * T(z,u) | y * K(u,z) = x. x * K(y,z) = ((x / z) * K(y,z)) * z. ((x / y) * K(z,y)) * y = x * K(z,y). (K(x,y) * z) * K(y,x) = T(z,K(x,y)). L(x * K(y,x),z,u) * T(y,x) = T(y,x) * L(x,z,u). ((T(x,y) \ 1) \ 1) \ y = y * (1 / x). T(x * y,y) \ (((1 / y) \ x) * z) = z. x * y != (z \ 1) * (z \ T(u,z)) | x \ (z \ (u / z)) = y. x \ (x \ (y / x)) = ((x \ T(y,x)) / x) / x. ((x \ T(y,x)) / x) / x = x \ (x \ (y / x)). (x / ((y \ 1) \ 1)) * x = (x * x) * (T(y,x) \ 1). T(x * (y \ x),y) = y * ((x / y) * (x / y)). x * ((y / x) * (y / x)) = T(y * (x \ y),x). (x \ y) * T(x,x \ 1) = T(y,x \ 1). K(x,y) * z != T(u,K(x,y)) | T(K(y,x) * u,K(x,y)) = z. T(K(x,y) * z,K(y,x)) = z * K(x,y). x * y != T(K(z,u),K(z,w)) | x \ K(z,u) = y. K(x,y) \ K(x,z) = K(x,z) * K(y,x). x \ y != K(z,u) * (w * K(z,u)) | x * T(w,K(z,u)) = y. x * T(y,K(x,z)) = T(x,z) * (y * K(x,z)). T(x,y) * (z * K(x,y)) = x * T(z,K(x,y)). T(x \ 1,y) \ z != u | ((x * y) \ y) \ z = u. (((x \ 1) * y) \ y) \ y = y * (1 / x). x != ((y * z) \ y) * y | z \ y = x. x \ (y * (z \ 1)) = (((y * (z \ 1)) * x) \ (y * (z \ 1))) * (T(z,y) \ y). (((x * (y \ 1)) * z) \ (x * (y \ 1))) * (T(y,x) \ x) = z \ (x * (y \ 1)). x * y != (z * x) \ x | (z \ 1) * (x \ 1) = y. (x \ 1) * (y \ 1) = ((1 / y) \ x) \ 1. ((1 / x) \ y) \ 1 = (y \ 1) * (x \ 1). ((1 / x) \ y) \ x != z | T(T(y,x \ 1) \ 1,x) = z. T(T(x,y \ 1) \ 1,y) = y * ((x * y) \ 1). (1 / x) * (1 / y) = 1 / T(x * y,x). 1 / T(x * y,x) = (1 / x) * (1 / y). ((x \ y) \ y) / y = 1 / (1 / (y \ x)). (1 / ((x \ y) \ y)) \ (T(1 / x,y) \ z) = ((x \ y) \ y) * (((x \ y) \ y) * z). (1 / x) \ ((x \ (x \ y)) * z) = (((x \ 1) * y) * (z * x)) / x. (((x \ 1) * y) * (z * x)) / x = (1 / x) \ ((x \ (x \ y)) * z). x != y \ T(z,y) | z * (y \ 1) = x. x * (y \ 1) = y * ((y \ 1) * (x / y)). x * ((x \ 1) * (y / x)) = y * (x \ 1). x != (y / z) / z | (z * z) \ y = x. (x * x) \ y = (y * (x \ 1)) * (1 / x). (x * (y \ 1)) * (1 / y) = (y * y) \ x. (1 / x) \ (y / (1 / x)) != z | x * (y * x) = z. x * (((x \ 1) \ y) * x) != z | (x * (x * y)) * x = z. T(x * (x * (x * y)),x) = ((x * x) * y) * x. x / (1 / y) != z | (1 / y) * (y * (x * y)) = z. x * (x * y) = T(x,z) * (T(x,z) * y). T(x,y) * (T(x,y) * z) = x * (x * z). T(x,y) * (T(x,y) * z) != u | x * (x * z) = u. (x * T(x \ y,z)) / y = K(y / x,z). x * y != (z * u) * T((z * u) \ w,v5) | (z * (u * T(u \ (z \ w),v5))) / y = x. (x * (y * T(y \ (x \ z),u))) / z = K(z / (x * y),u). x * y != (z * u) * T((z * u) \ (z * w),v5) | (z * (u * T(u \ w,v5))) / y = x. (x * (y * T(y \ z,u))) / (x * z) = K((x * z) / (x * y),u). x != T(y,z) * T(R(z,u,w),y) | R(z,u,w) * T(y,z) = x. R(x,y,z) * T(u,x) = K(u,x) * (R(x,y,z) * u). K(x,y) * (R(y,z,u) * x) = R(y,z,u) * T(x,y). K(x,y) * z = y * (K(x,y) * (y \ z)). x * (K(y,x) * (x \ z)) = K(y,x) * z. (x * y) \ (y * (K(x,y) * (x * z))) = L(L(z,x,y),y * x,K(x,y)). x * (y / x) = K(x,x \ y) * y. K(x,x \ y) * y = x * (y / x). x != T(y,z) * K(y,u) | K(y,u) * T(y,z) = x. K(x,y) * T(x,z) = K(x,z) * T(x,y). x / T(y,y \ 1) = (y \ 1) * T(x,y). x / (1 / y) = ((y \ 1) \ 1) * T(x,y \ 1). ((x \ 1) \ 1) * T(y,x \ 1) = y / (1 / x). T(x * y,y) / x = T(T(y,y * x),x). x != y * (z * (y \ 1)) | T(z,y) = x. T(x,(y * y) * z) = ((z * y) * y) * (x * (((y * y) * z) \ 1)). ((x * y) * y) * (z * (((y * y) * x) \ 1)) = T(z,(y * y) * x). T(x \ (y * y),y) = (x / y) \ y. T((x / y) \ y,y) = x \ (y * y). ((x / y) \ y) * y = y * (x \ (y * y)). ((x / y) \ y) \ y = y * ((x \ (y * y)) \ 1). x * ((y \ (x * x)) \ 1) = ((y / x) \ x) \ x. T(x * (y \ x),x) = (T(y,x) / x) \ x. ((x * x) * y) * y = x * (y * (y * x)). x \ y != z * ((u * u) * w) | x * (z * ((w * u) * u)) = y. x * (y * ((z * u) * u)) = x * (y * ((u * u) * z)). x * y != z * ((u * u) * w) | (z * ((w * u) * u)) / y = x. (x * ((y * z) * z)) / u = (x * ((z * z) * y)) / u. (x * y) * T(x,y) = (x * x) * y. x != (y * y) * z | (z * y) * y = x. (x * y) * y = (x * T(y,z)) * T(y,z). (x * T(y,z)) * T(y,z) = (x * y) * y. (x / y) * T(x,y) = (x * x) * (1 / y). (x * T(y,z)) * T(y,z) != u | (x * y) * y = u. x * y != (z * u) * T(z,u) | ((z * z) * u) / y = x. ((x * x) * y) / (x * y) = T(T(x,y),x * y). (x * x) \ (x / y) = (1 / y) / T(x,y). x \ y != (z \ u) / u | x * ((u * z) \ u) = y. (x \ y) * ((y * x) \ y) = (x \ y) / x. (x * (x * y)) \ x = (x * x) \ (y \ x). x / ((x * x) * y) = x \ (x \ (x / y)). T(x,x \ 1) * (y / x) = T(y,x \ 1). x * y != T(z,x) / x | (x \ 1) * (x \ z) = y. (x \ 1) * (x \ y) = (x \ (1 / x)) * y. (x \ (1 / x)) * y = (x \ 1) * (x \ y). x != T(y,z * z) | L(y,z,z) = x. L(1 / x,y,y) = 1 / T(x,y * y). 1 / T(x,y * y) = L(1 / x,y,y). 1 / L(x,y,y) = T(1 / x,y * y). T(1 / x,y * y) = 1 / L(x,y,y). 1 / L(x,y,y) = L(1 / x,y,y). L(1 / x,y,y) = 1 / L(x,y,y). x \ y != L(1 / z,u,u) | x * (1 / L(z,u,u)) = y. x * (1 / L(y,x,x)) = (1 / x) \ (1 / y). x * y != L(1 / z,u,u) | (1 / L(z,u,u)) / y = x. (1 / L(x,y,y)) / y = (1 / x) * (1 / y). x * y != L(1 / z,u,u) | x \ (1 / L(z,u,u)) = y. x \ (1 / L(y,x,x)) = (x \ 1) * (1 / y). (x * x) \ (1 / L(y,x,x)) = x \ (x \ (1 / y)). x \ y != T(1 / z,u * u) | x * (1 / L(z,u,u)) = y. x * (1 / L(x,y,y)) = K(x,x \ (y * y)). 1 / x != T(1 / y,z) | T(y,y * z) = x. T(x,x * (y * y)) = L(x,y,y). L(x,y,y) \ 1 = T(x \ 1,y * y). T(x \ 1,y * y) = L(x,y,y) \ 1. T(x,y * y) != z | L(x,y,y) = z. L(x \ 1,y,y) = L(x,y,y) \ 1. (L(x,y,y) \ 1) \ 1 = (x \ (y * y)) \ (y * y). (x \ (y * y)) \ (y * y) = (L(x,y,y) \ 1) \ 1. x \ y != L(z \ 1,u,u) | x * (L(z,u,u) \ 1) = y. x * (L(y,x,x) \ 1) = T((y \ 1) * x,x). x * (L(y,x,x) \ 1) = (1 / x) \ (y \ 1). x * (L(x,y,y) \ 1) = a(x,y,y). L(T(x \ 1,y),z,z) = T(L(x,z,z) \ 1,y). L(L(L(x,y,y) \ 1,z,u),y,y) = L(x \ 1,z,u). L(x,y,y) \ x = a(x,y,y). L(x,y,y) \ x != z | a(1 / y,y,x) = z. a(1 / x,x,y) = a(y,x,x). a(x,y,y) * L(x,y,y) = x. L(x,y,x) = x * a(y,x,x). x * a(y,x,x) = L(x,y,x). L(x,y,x) = a(y,x,x) * x. a(x,y,y) * y = L(y,x,y). x * a(x \ y,x,x) != z | (y * (((x \ y) \ 1) * x)) / x = z. (x * (((y \ x) \ 1) * y)) / y = L(y,y \ x,y). L(x,y,x) != z * x | a(y,x,x) = z. x * T(y,z) != u | (x * K(y,z)) * y = u. ((x * (x * T(y,z))) * K(y,z)) * y = T(y,z) * ((x * x) * T(y,z)). ((x * x) \ (1 / y)) * ((x * (x * y)) * z) = L(z,x * (x * y),x * (x * y)). x != (y * y) \ (y * z) | (1 / y) * z = x. (1 / x) * y = T(x \ y,x * y). T(x \ y,x * y) = (1 / x) * y. x \ ((y / x) \ 1) != z | (y \ x) * (x \ 1) = z. (x \ y) * (y \ 1) = y * ((x * y) \ 1). (1 / (T(x,y \ 1) / (1 / y))) * T(x,y \ 1) = T(x,y \ 1) * ((x * y) \ 1). ((x * x) * y) \ z != u | ((y * x) * x) \ z = u. ((x * y) * y) \ 1 = y \ (y \ (x \ 1)). K(x \ 1,x * (y * x)) = x * T(1 / x,y). x * (x * y) = (x \ 1) \ ((1 / x) \ y). (x \ 1) \ ((1 / x) \ y) = x * (x * y). x * y != z * (u \ (u * (z \ w))) | x \ w = y. ((1 / x) \ x) \ y = (x \ 1) * (x \ y). x \ y != ((1 / z) \ z) * u | x * (z * ((z \ 1) \ u)) = y. x * (y * ((y \ 1) \ (x \ 1))) = T((1 / y) \ y,x). (x * y) \ ((x * y) / (y \ 1)) = ((x * y) \ x) \ 1. ((1 / x) * (y * x)) * y = x \ (((y * x) * (y * x)) / x). x \ (((y * x) * (y * x)) / x) = ((1 / x) * (y * x)) * y. (1 / x) * ((y * y) / x) = x \ ((y * y) / x). x * ((1 / x) * y) != z | (y / x) / (x \ 1) = z. ((x / y) / y) / (y \ 1) = x * (1 / y). x \ y != z * ((1 / z) * (u / z)) | x * (u * (1 / z)) = y. x * (y * (1 / x)) = (x \ 1) \ (y / x). (x \ 1) \ (y / x) = x * (y * (1 / x)). (1 / x) * (y * (1 / x)) = x \ (y / x). T(x,y) != (z \ y) \ y | ((y * z) \ y) \ 1 = x. ((x * y) \ x) \ 1 = x \ (x / (1 / y)). (((x \ y) \ 1) \ 1) \ y = y * (x / y). x * ((1 / x) * y) = (1 / x) * ((1 / (1 / x)) * y). (1 / x) * ((1 / (1 / x)) * y) = x * ((1 / x) * y). x * y != z * ((1 / z) * (u / z)) | x \ (u * (1 / z)) = y. (x \ 1) \ (y * (1 / x)) = x * (y / x). (x * ((1 / x) * y)) \ ((x \ 1) * (x * (y * z))) = L(L(z,y,x),x * y,x \ 1). (x * (y * (1 / x))) \ (x \ y) = 1 / x. x * y != (z \ u) / (1 / z) | (z * (u * (1 / z))) / y = x. (x * (y * (1 / x))) / (x \ y) = 1 / T(1 / x,x \ y). T(x * (1 / y),y \ 1) = ((y \ 1) \ 1) \ x. x * K(y,z \ x) = z * ((y * (z \ x)) / y). x * ((y \ (x \ z)) * y) = z * K((y * x) \ z,y). x * K((y * z) \ x,y) = z * ((y \ (z \ x)) * y). (x \ 1) * T((x \ 1) \ y,z) != u | x \ T(x * y,z) = u. x \ T(x * y,z) = y * K((x \ 1) \ y,z). x * y != z * T(z \ x,u) | T(K(x / z,u),x) = y. T(K(x / y,z),x) = K(y \ x,z). x * y != (z / u) * T((z / u) \ w,z) | x \ (((z \ (w * u)) * z) / u) = y. x \ (((y \ (x * z)) * y) / z) = K((y / z) \ x,y). x * y != (z \ u) * T((z \ u) \ w,u) | x \ (z \ ((u \ (z * w)) * u)) = y. x \ (y \ ((z \ (y * x)) * z)) = K((y \ z) \ x,z). x * y != (z * u) * T((z * u) \ w,v5) | x \ (z * (u * T(u \ (z \ w),v5))) = y. x \ (y * (z * T(z \ (y \ x),u))) = K((y * z) \ x,u). x \ (y * T(y \ x,z)) != u | K(y \ x,z) = u. K(x / y,x) = K(y \ x,x). T(K(x,y),z) = K((x \ z) \ z,y). K((x \ y) \ y,z) = T(K(x,z),y). K(x,y) = K((x \ y) \ y,y). K((x \ y) \ y,y) = K(x,y). K(T(x,x \ y),z) = T(K(x,z),y). K(T(x,y),z) = T(K(x,z),x * y). T(K(x,y),x * z) = K(T(x,z),y). x * y != z * K(z,u) | T(z,u) / y = x. T(x,y) / y = (x / y) * K(x,y). (x / y) * K(x,y) = T(x,y) / y. ((x * y) / x) * z != u | y * (K(x,y) * z) = u. x * (K(y,x) * K(y * x,y)) = T(y * x,y) / y. (K(x,y) * z) * K(y,x) != u | T(z,K(y,x)) = u. T(x,K(y,z)) = T(x,K(z,y)). K(K(x,y),z) * z = T(z,K(y,x)). K(x,y) \ (z * K(x,y)) = T(z,K(y,x)). x \ y != T(z,K(u,w)) | x * T(z,K(w,u)) = y. K(x,y) * T(z,K(y,x)) = z * K(x,y). x * y != T(z,K(u,w)) | x \ T(z,K(w,u)) = y. x \ T(x,K(y,z)) = K(K(z,y),x). T(x,K(y,z)) * u = T(x,K(z,y)) * u. T(x,K(y,z)) * K(z,y) = K(z,y) * x. T(x,K(y,z)) != u | T(u,K(z,y)) = x. x * y != T(y,z) | K(y,z) = x. K(x,K(y,z)) = K(K(z,y),x). K(K(x,y),z) = K(z,K(y,x)). T(x,K(y,z)) != u | T(x,K(z,y)) = u. K(x,K(y,z)) = K(x,K(z,y)). K(x,K(y,z)) != u | K(x,K(z,y)) = u. T(K(x,y),z) = K(z,K(y,x)) * K(x,y). K(x,K(y,z)) * K(z,y) = T(K(z,y),x). K(x,K(y,z)) != u | K(K(z,y),x) = u. K(K(x,y),z) != u | K(z,K(y,x)) = u. ((x \ y) \ 1) \ x = x * (1 / (x / y)). T(x * y,y) * z != u | ((1 / y) \ x) * z = u. x * T(y,y \ 1) = T(y * x,y \ 1). T(x * y,x \ 1) = y * T(x,x \ 1). T(x * K(y,z),K(y,z)) = K(y,z) * x. T(x,K(y,z)) != (K(y,z) * u) * K(z,y) | u = x. x = K(y,z) * (K(z,y) * x). K(x,y) * (K(y,x) * z) = z. K(x,y) * T(z * K(y,x),u) = T(K(y,x) * z,u) * K(x,y). T(K(x,y) * z,u) * K(y,x) = K(y,x) * T(z * K(x,y),u). K(x,y) * z = K(y,x) \ z. K(x,y) \ z = K(y,x) * z. x / (K(y,z) * x) = K(z,y). K(x / y,z) * u != y * T(y \ x,z) | x = u. x = K(y,x / z) * (z * T(z \ x,y)). K(x,y / z) * (z * T(z \ y,x)) = y. K(x,y) * z != x \ u | T(x,y) \ u = z. T(x,y) \ z = K(y,x) * (x \ z). K(x,y) * (y \ z) = T(y,x) \ z. K(x,y) * z != y \ u | T(y,x) \ u = z. T(x,y) \ z = K(x,y) * (x \ z). K(x,y) * (x \ z) = T(x,y) \ z. K(x,y) * z != T(x,y) * u | x * u = z. x * y = K(z,x) * (T(x,z) * y). K(x,y) * (T(y,x) * z) = y * z. K(x,y) * z != T(y,x) * u | y * u = z. x * y = K(x,z) * (T(x,z) * y). K(x,y) * (T(x,y) * z) = x * z. x * y != T(x,z) | K(x,z) = y. K(K(x,y),z) = K(y,x) * T(K(x,y),z). K(x,y) * T(K(y,x),z) = K(K(y,x),z). x * y != K(z,u) * (K(u,z) * w) | T(x,y) = y \ w. T(K(x,y),z) = z \ (K(y,x) \ z). x \ (K(y,z) \ x) = T(K(z,y),x). x \ y != K(z,u) * (K(u,z) * w) | x * w = y. x * y = T(x,z) * (K(z,x) * y). T(x,y) * (K(y,x) * z) = x * z. x * y != K(z,u) * (K(u,z) * w) | x \ w = y. T(x,y) \ z = x \ (K(y,x) * z). x \ (K(y,x) * z) = T(x,y) \ z. K(x,y) * (K(x,y) * z) = z. x != K(y,z) * u | K(z,y) * x = u. K(x,y) * z != u | K(y,x) * u = z. K(x,y) \ z != u | K(y,x) * z = u. L(x \ (K(y,z) * u),x,K(z,y)) = (K(z,y) * x) \ u. (x * K(y,z)) \ x = K(z,y). x * y != K(z,u) \ (T(z,u) * w) | (z * w) / y = x. (x * y) / (T(x,z) * y) = K(z,x). K(x,y) \ z = K(x,y) * z. L(K(x,y) * (z \ u),K(y,x),z) = (z * K(y,x)) \ u. x \ y != z / (K(u,w) * z) | x * K(w,u) = y. x * K(y,z) = x / K(z,y). x / K(y,z) = x * K(z,y). K(x,y) != z / u | K(y,x) * z = u. x * y != z \ x | T(z,x) \ 1 = y. T(x,K(y,z)) \ 1 = K(y,z) * (x \ K(y,z)). K(x,y) * (z \ K(x,y)) = T(z,K(x,y)) \ 1. x * y != K(z,u) * (K(z,u) * w) | x \ w = y. T(x,y) \ z = x \ (K(x,y) * z). x \ (K(x,y) * z) = T(x,y) \ z. x != K(y,z) * u | K(y,z) * x = u. K(x,y) * z != u | K(x,y) * u = z. x \ (K(y,z) * ((K(y,z) * x) * u)) != w | L(u,K(y,z) * x,K(y,z)) = w. K(x,y) = (z * K(x,y)) \ z. (x * K(y,z)) \ x = K(y,z). x = (x * K(y,z)) * K(z,y). (x * K(y,z)) * K(z,y) = x. x \ (y * T(z,u)) != K(z,u) | y * z = x. x * y = (x * T(y,z)) * K(z,y). (x * T(y,z)) * K(z,y) = x * y. x * K(y,z) != u | u * K(z,y) = x. x / K(y,z) != u | x * K(z,y) = u. (x * T(x \ y,z)) \ y = K(z,x \ y). K(x,y) * (K(x,y) * z) != u | z = u. x != y * K(z \ y,u) | z * T(z \ y,u) = x. x * T(x \ y,z) = y / K(z,x \ y). x / K(y,z \ x) = z * T(z \ x,y). x != (y * z) * K(z,u) | y * T(z,u) = x. x * T(y,z) = (x * y) / K(z,y). (x * y) / K(z,y) = x * T(y,z). x / K(y,z) = x * K(y,z). (x * K(y,z)) \ x != u | K(z,y) = u. R((x * K(y,z)) / u,u,K(z,y)) = x / (u * K(z,y)). R(x * K(y,z),K(z,y),u) \ (x * u) = K(z,y) * u. (x * K(y,z)) * T(z,y) = x * z. x / K(y,z) != u | x * K(y,z) = u. x * K(y,z) != u / y | u / T(y,z) = x. x / T(y,z) = (x / y) * K(z,y). (x / y) * K(z,y) = x / T(y,z). x * K(y,z) != K(y,u) * T(y,z) | T(y,u) = x. T(x,y) = (K(x,y) * T(x,z)) * K(z,x). (K(x,y) * T(x,z)) * K(z,x) = T(x,y). x * y != (z * K(u,w)) * K(w,u) | z / y = x. x / T(y,z) = (x * K(z,y)) / y. (x * K(y,z)) / z = x / T(z,y). x / T(y,z) = (x * K(y,z)) / y. (x * K(y,z)) / y = x / T(y,z). a(x,y * K(z,u),K(u,z)) = (x * y) \ ((x * (y * K(z,u))) * K(u,z)). (x * y) \ ((x * (y * K(z,u))) * K(u,z)) = a(x,y * K(z,u),K(u,z)). (x * y) * a(x,y * K(z,u),K(u,z)) = (x * (y * K(z,u))) * K(u,z). x * y = (x * K(y,z)) * T(y,z). (x * K(y,z)) * T(y,z) = x * y. K(x,y) * z = T(y,x) \ (y * z). T(x,y) \ (x * z) = K(y,x) * z. x \ y != K(z,u) * (u \ w) | x * (T(u,z) \ w) = y. x * (T(y,x) \ z) = T(x,y) * (y \ z). T(x,y) * (y \ z) = x * (T(y,x) \ z). K(x,L(y,z,u) \ y) * L(y,z,u) = T(L(y,z,u) \ y,x) \ y. K(x,y) * (K(y,z) * u) = T(y,x) \ (T(y,z) * u). T(x,y) \ (T(x,z) * u) = K(y,x) * (K(x,z) * u). K(x,y) * z = T(x,y) \ (x * z). T(x,y) \ (x * z) = K(x,y) * z. x != T(y,z) \ (y \ u) | y \ (T(y,z) \ u) = x. x \ (T(x,y) \ z) = K(x,y) * (x \ (x \ z)). K(x,y) * (x \ (x \ z)) = x \ (T(x,y) \ z). x \ y != K(z,u) * (z \ w) | x * (T(z,u) \ w) = y. x * (T(x,y) \ z) = K(x,y) * z. x * y != K(z,u) * (z \ w) | x \ (T(z,u) \ w) = y. T(x,y) \ (T(x,y) \ z) = x \ (x \ z). K(x,y) * T(z,x) = T(x,y) \ (z * x). T(x,y) \ (z * x) = K(x,y) * T(z,x). T(x,y) \ (x * z) != u | K(x,y) * z = u. K(x \ y,x) * ((x \ y) \ z) = (y / x) \ z. K(x,y \ 1) * (y \ z) = T(y,x * y) \ z. K(x,y \ 1) * (y \ z) = T(y,y * x) \ z. K(x,y) * z = y * (T(y,x) \ z). x * (T(x,y) \ z) = K(y,x) * z. x \ y != K(z,u) * (T(u,z) * w) | x * (u * w) = y. x * (y * z) = T(x,y) * (T(y,x) * z). T(x,y) * (T(y,x) * z) = x * (y * z). x * y != K(z,u) * (T(u,z) * w) | x \ (u * w) = y. T(x,y) \ (y * z) = x \ (T(y,x) * z). K(x,x \ y) * z = x * (((x \ y) \ y) \ z). x * (((x \ y) \ y) \ z) = K(x,x \ y) * z. K(x \ y,x) * ((y / x) * z) = (x \ y) * z. K(x,y) * (z * L(T(K(y,x),z),u,w)) = (K(x,y) * L(K(x,y) \ 1,u,w)) * z. x / (K(y,x * K(z,u)) * K(u,z)) = T(x * K(z,u),y). x \ y != z \ (K(u,z) * w) | x * (T(z,u) \ w) = y. T(x,y) * (T(x,z) \ u) = K(x,y) * (K(z,x) * u). K(x,y) * (K(z,x) * u) = T(x,y) * (T(x,z) \ u). K(x,y) * (T(y,x) * z) != u | y * z = u. x \ y != z \ ((z * z) * u) | x * T(u * z,z) = y. x * T(y * T(x,z),T(x,z)) = K(x,z) * ((T(x,z) * T(x,z)) * y). K(x,y) * ((T(x,y) * T(x,y)) * z) = x * T(z * T(x,y),T(x,y)). x \ (1 / x) = T(x,y) \ (1 / T(x,y)). T(x,y) \ (1 / T(x,y)) = x \ (1 / x). x \ (K(y,x \ 1) * z) = T(x,x * y) \ z. x * K(y,z) = (x / T(z,y)) * z. (x / T(y,z)) * y = x * K(z,y). x != K(y,z) * z | z * K(y,z) = x. x * K(y,x) = (K(y,x) * T(x,z)) * K(z,x). (K(x,y) * T(y,z)) * K(z,y) = y * K(x,y). K(x,y) * z != u * y | T(u * T(y,x),K(x,y)) = z. T(x * T(y,z),K(z,y)) = K(y,z) * (x * y). x * y != (z * T(u,w)) * K(w,u) | (z * u) / y = x. (x * y) / T(z,y) = (x * T(y,z)) / z. (x * T(y,z)) / z = (x * y) / T(z,y). (x * y) / T(y,z) = x * K(z,y). (x * K(y,z)) \ (x * z) = T(z,y). x * T(T(y,z),u) != (T(y,u) * z) * T(y,z) | y * z = x. x * y = (T(x,z) * y) * K(z,T(x,y)). (T(x,y) * z) * K(y,T(x,z)) = x * z. (x * y) / T(y,z) != u | x * K(z,y) = u. (x / y) * K(y,z) = x / T(y,z). (x / T(y,z)) * T(y,u) = (x * K(z,y)) * K(y,u). (x / T(y,z)) * y = x * K(y,z). x * y != (z * K(u,w)) / u | x \ (z / T(u,w)) = y. (1 / x) \ (y / T(x,z)) = T(y * K(x,z),x). T(x / T(y,z),y) = y \ (x * K(y,z)). x \ (y / T(x,z)) = (x \ y) * (x \ K(x,z)). (x \ y) * (x \ K(x,z)) = x \ (y / T(x,z)). x / (y / T(x,z)) != x * u | x / (y * K(x,z)) = u. T(x,y) / T(y,z) = ((1 / y) * x) * K(y,z). ((1 / x) * y) * K(x,z) = T(y,x) / T(x,z). x * y != ((z * u) \ z) * z | (u \ z) / y = x. (x \ y) / T(y,z) = ((y * x) \ y) * K(y,z). ((x * y) \ x) * K(x,z) = (y \ x) / T(x,z). (x * y) / T(x,z) = T(y,x) * K(x,z). x * y != T(z,u \ 1) * u | ((1 / u) \ z) / y = x. ((1 / x) \ y) / T(x,z) = T(y,x \ 1) * K(x,z). x \ y != K(z,u) * (1 / T(z,u)) | x * (1 / z) = y. T(x,y) * (1 / x) = x * (1 / T(x,y)). x \ y != z * (T(z,u) \ w) | x * (K(z,u) * w) = y. (1 / x) * (K(x,y) * z) = L(T(x,y) \ z,x,x). L(T(x,y) \ z,x,x) = (1 / x) * (K(x,y) * z). x \ y != z * (T(z,u) \ w) | x * (K(u,z) * w) = y. (x * x) * (K(y,1 / x) * z) = x * (T(1 / x,y) \ z). (x \ y) * ((y / x) \ z) = K(x,x \ y) * z. (x * T(y,z)) \ ((x * y) * z) = T(z,y). (K(x,y) \ 1) \ z != u | K(x,y) * z = u. K(x,y) * (x \ z) != u | T(x,y) \ z = u. x * T(y,z) != u | (x * y) * K(z,y) = u. ((x * y) \ y) \ y != z | y / (y \ (y / x)) = z. x / (x \ (x / (y \ 1))) = x * (1 / y). 1 / ((x \ 1) * (y \ 1)) = (1 / y) \ x. (x \ y) \ 1 = (y \ 1) * ((x \ 1) \ 1). (x \ 1) * ((y \ 1) \ 1) = (y \ x) \ 1. (x * ((x \ 1) \ y)) \ 1 = ((x * y) \ 1) * (x \ 1). (T(x / y,x) \ z) \ 1 = (z \ 1) * ((x \ y) \ 1). x / ((x \ 1) * (y \ 1)) = ((1 / y) / x) \ x. (x / (y \ 1)) \ 1 = (x \ 1) * (T(y,x) \ 1). (x \ 1) * (T(y,x) \ 1) = (x / (y \ 1)) \ 1. 1 / (x / (y \ 1)) = (1 / y) * (1 / x). x != y / (y / z) | (z \ y) \ y = x. ((x \ y) \ 1) \ 1 = ((y \ x) \ x) / x. x / (1 / y) = ((y * y) * x) * (y \ 1). ((x * x) * y) * (x \ 1) = y / (1 / x). (x \ (y / x)) * (1 / x) = (x * x) \ (x \ y). (x \ (x \ y)) * (1 / x) = (x * x) \ (y / x). x * y != z * (z * ((1 / z) * u)) | x \ ((z \ 1) \ u) = y. T(x,y) \ ((x \ 1) \ z) = T(x,y) * ((1 / x) * z). x * (x * ((1 / x) * y)) != z | (x \ 1) \ y = z. (T(x,y) \ 1) \ z = x * (x * ((1 / T(x,y)) * z)). x * (x * ((1 / T(x,y)) * z)) = (T(x,y) \ 1) \ z. x \ y != z * (K(u,z) * (z \ w)) | x * (K(u,z) * w) = y. K(x,y) * (K(z,x) * u) = T(x,y) * (K(z,x) * (x \ u)). T(x,y) * (K(z,x) * (x \ u)) = K(x,y) * (K(z,x) * u). T(x / T(y,y \ 1),y) = T(x,y) * (1 / y). x != T(T(y,z),u) | T(T(y,u),z) = x. T(T(x,y),x * y) = T(y * x,x) / y. T(x * y,y) / x = T(T(y,x),y * x). ((x * y) * y) * T(y,z) = (y * y) * (x * T(y,z)). x != (y * y) * (1 / z) | (y * y) / z = x. (x * x) / y = (x / y) * T(x,y). (x / y) * T(x,y) = (x * x) / y. x * T(x * y,y) = ((x * y) * (x * y)) / y. ((x * y) * (x * y)) / y = x * T(x * y,y). ((x \ y) / x) * (y / x) = ((x \ y) * (x \ y)) / x. ((x \ y) * (x \ y)) / x = ((x \ y) / x) * (y / x). (x \ (y * y)) \ y = (y * y) \ ((x \ 1) \ y). (x * x) \ ((y \ 1) \ x) = (y \ (x * x)) \ x. (x \ (x \ (y \ x))) * (y \ x) = (y \ x) * ((x * (x * y)) \ x). T(x,x \ 1) * y = T(y * x,x \ 1). T(x * y,y \ 1) = T(y,y \ 1) * x. T(x \ (1 / x),y) = (x \ 1) * (x \ K(y,x \ (1 / x))). (x \ 1) * (x \ K(y,x \ (1 / x))) = T(x \ (1 / x),y). (x \ (1 / x)) \ y = x * ((x \ 1) \ y). ((x \ 1) * (x \ 1)) * y = (x \ 1) * (x \ y). ((x * y) \ (1 / (x * y))) * (y * y) = ((x * y) \ 1) * ((x / y) \ 1). T(x,y) * z != (x \ T(x,y)) * u | x \ u = z. x \ (T(x,y) \ 1) = (x * T(x,y)) \ 1. (x * T(x,y)) \ 1 = x \ (T(x,y) \ 1). T(x,1 / ((y * z) * z)) = T(x,z \ (z \ (y \ 1))). ((x * ((1 / (x \ 1)) \ y)) * ((1 / (x \ 1)) \ y)) \ 1 = ((1 / (x \ 1)) \ y) \ ((x \ 1) * ((y * (x \ 1)) \ 1)). T(x \ (x \ (y \ 1)),x) = ((x * x) * (y * x)) \ x. (x * (y * (y * x))) \ 1 = y \ (y \ ((x * x) \ 1)). (x \ 1) \ L(x,y,z) = x * (x * a(1 / x,z,y)). x * (x * a(1 / x,y,z)) = (x \ 1) \ L(x,z,y). ((x * x) \ y) / (x \ 1) = y * (1 / x). x \ y != z \ (u / z) | x * ((1 / z) * (u * (1 / z))) = y. x * ((1 / x) * (y * (1 / x))) = y / x. x * y != (1 / z) * (u * (1 / z)) | x \ (z \ (u / z)) = y. ((x * (1 / y)) * (x * (1 / y))) \ (y \ (x / y)) = (1 / y) / (x * (1 / y)). x \ y != ((z * u) \ z) \ 1 | x * (z \ (z / (1 / u))) = y. (x * y) * (x \ (x / (1 / y))) = (x / (x * y)) \ (x * y). x * (y / x) != z \ x | ((y \ x) \ 1) \ 1 = z. x \ y != y * (z / y) | ((z \ y) \ 1) \ 1 = x. (x \ 1) * (y * (1 / x)) = (x \ y) * (1 / x). (L(x,y,z) \ x) \ (u * (1 / (x \ L(x,y,z)))) = (x \ L(x,y,z)) * (u / (x \ L(x,y,z))). T(1 / x,x * (y * (1 / x))) = (x \ y) / (x * (y * (1 / x))). x \ y != T(z,K(T(z,u),w)) | x * z = y. K(x,T(y,z)) * y = y * K(x,T(y,z)). x * K(y,z) != K(y,z) * u | T(x,K(z,y)) = u. K(x,y) * z != u * K(x,y) | T(u,K(y,x)) = z. x / (x * (1 / (x / y))) = (x \ y) \ 1. x \ y != T(z * u,z \ 1) | x * (u * T(z,z \ 1)) = y. x * (y * T(x,x \ 1)) = (x * y) / (x \ 1). (x * T(y,y \ 1)) * y = (1 / y) \ (y * x). K(x,y / (z \ 1)) * (z \ T(z * y,x)) = y. K(x,(y \ z) / (y \ 1)) * (y \ T(z,x)) = y \ z. x != K(K(y,z),u) | K(u,K(z,y)) = x. K(x,K(y,z)) = K(y,z) * T(K(z,y),x). K(x,y) * T(K(y,x),z) = K(z,K(x,y)). (x * (y * T(y \ (x \ z),u))) \ z = K(u,(x * y) \ z). ((x * T(x \ y,z)) * u) \ (y * u) = K(z,(x * u) \ (y * u)). T(x * T(x \ y,z),u) \ T(y,u) = K(z,T(x,u) \ T(y,u)). (x * ((y \ (x \ z)) * y)) \ z = K(y,(y * x) \ z). x != y * (T(z,y) \ y) | z \ (y * y) = x. x \ (y * y) = T(y,x) * (x \ y). T(x,y) * (y \ x) = y \ (x * x). (x \ y) \ (z * (y / x)) = K(y / x,x) * T(z,y / x). K(x / y,y) * T(z,x / y) = (y \ x) \ (z * (x / y)). T(a(1 / x,y,z),u) \ L(x,z,y) = K(a(1 / x,y,z),u) * T(x,a(1 / x,y,z)). K(a(1 / x,y,z),u) * T(x,a(1 / x,y,z)) = T(a(1 / x,y,z),u) \ L(x,z,y). (x / y) \ (z * (y \ x)) = K(y \ x,y) * T(z,y \ x). K(x \ y,x) * T(z,x \ y) = (y / x) \ (z * (x \ y)). T(x \ y,x) * (((x \ y) \ y) * z) = (x \ y) * (x * z). (T(x,y) \ 1) * (T(x,y) \ 1) = x \ (1 / x). x != (y * y) / T(z,y) | (y / z) * y = x. (x / y) * x = (x * T(x,y)) / y. (x * T(x,y)) / y = (x / y) * x. ((x / y) * x) * y = x * T(x,y). (x * T(y,z)) / z != u | z * ((z \ x) * (z \ y)) = u. x * ((x \ y) * (x \ y)) = (y / x) * y. x * y != (z * T(z,u)) / u | x \ ((z / u) * z) = y. x \ ((y / x) * y) = (x \ y) * (x \ y). (x * (((1 / y) * x) * y)) / y = (x / y) * x. (x \ T(1 / x,y)) / y = ((x \ 1) / y) * (x \ 1). (((x \ 1) \ y) * T((x \ 1) \ y,x)) / x = (x * (y / x)) * ((x \ 1) \ y). T(x * y,x) / x = T(y,x) * K(x,x * y). T(x,y) * K(y,y * x) = T(y * x,y) / y. x != y * (1 / T(y,z)) | K(y \ 1,y * z) = x. K(x \ 1,x * y) = T(x,y) * (1 / x). (x * T(y,L(z,y,x))) \ (x * (y * z)) = T(L(z,y,x),y). (x * (1 / y)) \ x = x \ (x / (y \ 1)). x / ((x \ y) \ 1) = x * (1 / (y \ x)). 1 / (x * (y \ 1)) = (1 / y) \ (1 / x). x * ((y \ 1) \ 1) = (y \ (1 / x)) \ 1. (x \ (1 / y)) \ 1 = y * ((x \ 1) \ 1). x \ y != (z \ 1) * ((u \ 1) \ 1) | x * ((u \ z) \ 1) = y. x * ((y \ x) \ 1) = L((y \ 1) \ 1,x,x). L((x \ 1) \ 1,y,y) = y * ((x \ y) \ 1). (x \ 1) * ((x \ y) \ 1) = T(y \ 1,x \ 1). (x \ 1) * T(y \ 1,z) = (T(1 / y,z) \ x) \ 1. (T(1 / x,y) \ z) \ 1 = (z \ 1) * T(x \ 1,y). L(x,y * (z * ((u \ w) \ 1)),v5) = L(x,y * (z * ((w \ 1) * u)),v5). K(x,y) * ((z \ 1) \ 1) = (z \ K(x,y)) \ 1. (x \ 1) * (1 / y) = ((y \ 1) \ x) \ 1. ((x \ 1) \ y) \ 1 = (y \ 1) * (1 / x). T((x \ y) \ 1,x) = (x \ 1) \ (y \ 1). ((1 / x) * (1 / y)) \ 1 = y / (x \ 1). x != (y \ z) / z | (z * y) \ z = x. (x * (y \ x)) \ x = ((x \ y) \ 1) \ 1. ((x \ y) \ 1) \ 1 = (x * (y \ x)) \ x. T(x * y,y \ 1) != z | T(x / (1 / y),y) = z. T(x / (1 / y),y) = T(y,y \ 1) * x. T(x,y * T(y,z)) * (y \ (T(y,z) \ 1)) != u | (y * T(y,z)) \ x = u. (x \ 1) * ((y \ (T(y,z) \ 1)) \ 1) = ((y * T(y,z)) \ x) \ 1. x * ((1 / x) * y) = (y / (1 / x)) / x. (x / (1 / y)) / y = y * ((1 / y) * x). x / (x * (1 / y)) = (x \ (y \ x)) \ 1. ((x \ y) \ 1) \ x != z | x * (1 / (x / y)) = z. x * y != (z / (u \ z)) * w | x \ (u * w) = y. (x \ y) \ (x * y) = ((x \ y) \ y) * ((x \ y) \ y). ((x \ y) \ y) * ((x \ y) \ y) = (x \ y) \ (x * y). x * y != (z / x) * z | (z / x) * (z / x) = y. (x / y) * (x / y) = (y \ x) * (y \ x). x \ y != z * ((z \ u) * (z \ u)) | x * ((u / z) * u) = y. x * ((y / (x \ 1)) * y) = ((x \ 1) \ y) * ((x \ 1) \ y). ((x \ 1) \ y) * ((x \ 1) \ y) = x * ((y / (x \ 1)) * y). x \ ((y / x) * y) != z | (x \ y) * (x \ y) = z. x * ((x \ y) * (x \ y)) != z | (y / x) * y = z. x * T(1 / x,(y / x) * y) = K(x,(x \ y) * (x \ y)). (x * y) \ x = x \ (x / ((y \ 1) \ 1)). x \ (x / ((y \ 1) \ 1)) = (x * y) \ x. ((x / (x / (y \ 1))) \ 1) * (x / (y \ 1)) = (x / (y \ 1)) * ((x * (1 / y)) \ x). (x \ (x / (y \ 1))) * x = (1 / y) \ x. L(x * ((y \ 1) \ 1),z,z) = L(y \ (1 / x),z,z) \ 1. 1 / ((x \ 1) * (1 / y)) = (y \ 1) \ x. x \ 1 = (((y \ 1) * x) \ 1) * (1 / y). (((x \ 1) * y) \ 1) * (1 / x) = y \ 1. T(x,y \ 1) \ 1 = ((x * (y \ 1)) \ 1) * (1 / y). ((x * (y \ 1)) \ 1) * (1 / y) = T(x,y \ 1) \ 1. (((x \ 1) \ 1) \ y) \ 1 = (y \ 1) * x. L(((1 / x) \ 1) \ y,(1 / x) \ 1,((x \ 1) \ z) \ 1) = L(z \ 1,1 / x,1 / x) \ (((z \ 1) * (1 / x)) * y). x \ y != T((z \ u) \ 1,z) | x * ((z \ 1) \ (u \ 1)) = y. x * ((x \ 1) \ (y \ 1)) = ((x \ y) \ 1) * x. T(x \ 1,y) = (y \ 1) \ ((y * x) \ 1). (x \ 1) \ ((x * y) \ 1) = T(y \ 1,x). (x * (1 / y)) \ 1 = y / ((x \ 1) \ 1). x / ((y \ 1) \ 1) = (y * (1 / x)) \ 1. ((1 / x) * y) \ 1 = (y \ 1) / (x \ 1). (x \ 1) / (y \ 1) = ((1 / y) * x) \ 1. (((1 / x) * (1 / y)) * (z * (y / (x \ 1)))) * ((1 / x) * (1 / y)) = ((1 / x) * (1 / y)) * z. T(x,(1 / y) * (1 / z)) = ((1 / y) * (1 / z)) * (x * (z / (y \ 1))). ((1 / x) * (1 / y)) * (z * (y / (x \ 1))) = T(z,(1 / x) * (1 / y)). x / (((x \ y) \ 1) \ 1) = x * (y \ x). T(T(x,x \ 1) * y,x) = y / (1 / x). x / (x * (1 / L(x,y,z))) = (L(x,y,z) \ 1) \ 1. x \ y != (z / u) * (z / u) | x * ((u \ z) * (u \ z)) = y. R(x,y / z,y / z) * ((z \ y) * (z \ y)) = (x * (y / z)) * (y / z). (T(x,y) / y) * ((1 / y) * x) = (y \ T(x,y)) * (y \ T(x,y)). (x \ T(y,x)) * (x \ T(y,x)) = (T(y,x) / x) * ((1 / x) * y). (x \ (x \ y)) * (y / (x * x)) = ((x * x) \ y) * ((x * x) \ y). ((x * x) \ y) * ((x * x) \ y) = (x \ (x \ y)) * (y / (x * x)). (x * (y / z)) * (y / z) = ((z \ y) * (z \ y)) * x. ((x \ y) * (x \ y)) * z = (z * (y / x)) * (y / x). (x / y) * ((x / y) * (z \ 1)) = z \ ((y \ x) * (y \ x)). (1 / T(x * y,x)) * (T(1 / y,x) / x) = (x \ T(1 / y,x)) * (x \ T(1 / y,x)). x \ (x / (1 / y)) = (x * (y \ 1)) \ x. (x * (y \ 1)) \ x = x \ (x / (1 / y)). ((x \ y) \ 1) * x = (1 / (y \ x)) \ x. (1 / (x \ y)) \ y = ((y \ x) \ 1) * y. 1 / ((x \ 1) * y) = ((y \ 1) \ 1) \ x. 1 / (x * (1 / y)) = (y \ 1) \ (1 / x). (x \ 1) / (1 / y) = ((y \ 1) * x) \ 1. x / (1 / y) = ((y \ 1) * (1 / x)) \ 1. ((x \ 1) * (1 / y)) \ 1 = y / (1 / x). T(x \ 1,y) = (y \ 1) * (((y \ 1) * x) \ 1). (x \ 1) * (((x \ 1) * y) \ 1) = T(y \ 1,x). (L(x,x,x) \ y) \ 1 = (y \ 1) * x. (x * (1 / y)) \ 1 = (x \ 1) * T(y,x). (x * (y / x)) \ 1 = (x \ 1) * (y \ x). (x \ 1) * T(y \ 1,x) = (x * y) \ 1. (x \ 1) * T(y \ 1,x) != z | (x * y) \ 1 = z. (x \ 1) \ (((x \ 1) * y) * z) = (x * (1 / (y * (z * ((x \ 1) \ 1))))) \ 1. (x * (1 / (y * (z * ((x \ 1) \ 1))))) \ 1 = (x \ 1) \ (((x \ 1) * y) * z). x / (((y \ x) \ 1) \ 1) != z | x * (((x \ y) \ 1) \ 1) = z. x * (((x \ y) \ 1) \ 1) = ((y \ x) * (1 / x)) \ 1. ((x \ y) * (1 / y)) \ 1 = y * (((y \ x) \ 1) \ 1). (x \ 1) / ((y \ 1) \ 1) = (y * x) \ 1. x / (1 / (1 / y)) = (y * (1 / x)) \ 1. x * y != (z \ 1) / (u \ 1) | x \ (((1 / u) * z) \ 1) = y. x \ (((1 / x) * y) \ 1) = T(y \ 1,x \ 1). x / ((y \ 1) \ 1) != z | (y * (1 / x)) \ 1 = z. ((x \ y) * (1 / x)) \ 1 = x * (y \ x). T(((x \ 1) \ 1) * y,x) = y / (1 / x). ((x \ 1) \ y) / y = y \ (y / (1 / x)). ((x \ y) \ 1) \ (y \ 1) = (y \ 1) \ ((y \ 1) / (1 / (x \ 1))). (x \ 1) \ ((x \ 1) / (1 / (y \ 1))) = ((y \ x) \ 1) \ (x \ 1). ((x \ y) \ 1) * x != z \ x | 1 / (y \ x) = z. x \ y != ((y \ z) \ 1) * y | 1 / (z \ y) = x. 1 / (x * y) = ((y \ 1) \ 1) \ (1 / x). ((x \ 1) \ 1) \ (1 / y) = 1 / (y * x). 1 / (x / y) = (y \ 1) \ (1 / L(x,y,y)). (x \ 1) \ (1 / L(y,x,x)) = 1 / (y / x). 1 / ((x / y) * x) = ((x \ y) \ 1) \ (1 / x). ((x \ y) \ 1) \ (1 / x) = 1 / ((x / y) * x). (x \ 1) / y = (((y \ 1) \ 1) * x) \ 1. (((x \ 1) \ 1) * y) \ 1 = (y \ 1) / x. 1 / (x / (1 / y)) = (y \ 1) * (1 / x). x / (1 / y) != z \ 1 | (y \ 1) * (1 / x) = z. x \ 1 != y / (1 / z) | (z \ 1) * (1 / y) = x. a((x / (1 / y)) \ 1,z,u) = a((y \ 1) * (1 / x),z,u). x != (y \ 1) * T(z,y) | y \ T(z,y \ 1) = x. x \ T(y,x \ 1) = (x * (1 / y)) \ 1. (x * (1 / y)) \ 1 = x \ T(y,x \ 1). (x * y) \ 1 = (y \ 1) * ((y * x) \ y). (x \ 1) * ((x * y) \ x) = (y * x) \ 1. ((x * y) \ 1) \ (y \ 1) = (x \ 1) \ 1. x / (((x \ y) \ 1) \ 1) != z | x * (y \ x) = z. (x \ 1) * (y \ (x \ 1)) = (((x \ 1) \ y) * x) \ 1. (((x \ 1) \ y) * x) \ 1 = (x \ 1) * (y \ (x \ 1)). ((x * (1 / y)) \ 1) * x = K(x,x \ 1) * y. 1 / (x * (y \ x)) = (x \ y) * (1 / x). x \ y != T(((z \ 1) \ 1) * u,z) | x * (u / (1 / z)) = y. (1 / x) * (y / (1 / x)) = (((x \ 1) \ 1) * y) / x. (((x \ 1) \ 1) * y) / x = (1 / x) * (y / (1 / x)). ((x \ 1) \ (y * x)) / (y * x) = (y * x) \ (x * (x * y)). x \ y != (((z \ 1) \ 1) * u) \ 1 | x * ((u \ 1) / z) = y. x * ((y \ 1) / z) = T(((z \ 1) \ 1) * y,x) \ x. T(((x \ 1) \ 1) * y,z) \ z = z * ((y \ 1) / x). 1 / (x / y) = ((y \ 1) \ 1) * (1 / x). ((x \ 1) \ 1) * (1 / y) = 1 / (y / x). 1 / L(x * y,y,y) = (y \ 1) * (1 / x). 1 / L(x,y,y) = (y \ 1) * (1 / (x / y)). (x \ 1) * (1 / (y / x)) = 1 / L(y,x,x). ((x \ 1) * (1 / y)) \ y = y / (y \ (1 / x)). 1 / (x * (y * x)) = (x \ 1) * (1 / (x * y)). (x \ 1) * (1 / (x * y)) = 1 / (x * (y * x)). T(x / T(y,x \ 1),x) = x * (1 / y). (x \ 1) \ (y \ 1) = ((x / y) \ 1) \ 1. ((x / y) \ 1) \ 1 = (x \ 1) \ (y \ 1). (x \ y) * (1 / x) != 1 / z | x * (y \ x) = z. 1 / x != (y \ z) * (1 / y) | y * (z \ y) = x. 1 / (x * y) = (x \ (x / y)) * (1 / x). (x \ (x / y)) * (1 / x) = 1 / (x * y). (1 / (x / y)) / x = x \ (x \ ((y \ 1) \ 1)). x \ (x \ ((y \ 1) \ 1)) = (1 / (x / y)) / x. T(x * (1 / y),x) = x / T(y,x \ 1). x / T(y,x \ 1) = T(x * (1 / y),x). T(x / y,x) = x * (1 / T(y,x \ 1)). x * (1 / T(y,x \ 1)) = T(x / y,x). ((x / (1 / y)) \ 1) \ 1 = (x \ 1) \ y. ((x \ 1) \ (y \ 1)) \ (1 / z) = 1 / (z * (x / y)). x * y != (z \ (z / u)) * (1 / z) | x \ (1 / (z * u)) = y. x \ (1 / (x * y)) = (x \ (x \ (x / y))) / x. (x \ (x \ (x / y))) / x = x \ (1 / (x * y)). x * y != T(z * (1 / u),z) | x \ (z / T(u,z \ 1)) = y. x \ (x / T(y,x \ 1)) = T(1 / y,x \ 1). 1 / ((x \ 1) \ y) = (x / (1 / y)) \ 1. ((x * (y * x)) \ 1) \ 1 = ((x * y) \ 1) \ x. T((x / (1 / y)) \ 1,y) = (y / (x \ 1)) \ 1. K(x,y * y) = a(y,y,x). K(x * x,y) = a(x,x,y). x * a(y,y,x) = L(x,y,y). x * (x * a(x,x,y)) = T(x * x,y). x \ L(x,y,y) = a(y,y,x). x * y != L(T(z,u),u,u) | x \ T(z,u \ 1) = y. T(x,y) \ T(x,y \ 1) = a(y,y,T(x,y)). a(x,x,T(y,x)) = T(y,x) \ T(y,x \ 1). (x \ 1) * y != L(x \ 1,z,u) | a(x,u,z) = y. a(x,y,y) = a(y,y,x \ 1). a(x,x,y \ 1) = a(y,x,x). a(x,x,y) * y = L(y,x,x). a(x,x,y) != z | K(x * x,y) = z. K(x * x,y \ 1) = a(y,x,x). x \ T(x * x,y) = x * a(x,x,y). x \ y != z * (z * a(z,z,u)) | x * T(z * z,u) = y. (1 / x) * T(x * x,y) = (x \ 1) \ a(x,x,y). x \ (x \ T(x * x,y)) = a(x,x,y). x \ T(x * y,z) != u | T(y * x,z) / x = u. T(x * x,y) / x = x * a(x,x,y). x != y * a(y,z,u) | a(y,z,u) * y = x. a(x,x,y) * x = T(x * x,y) / x. T(x * x,y) / x = a(x,x,y) * x. x * y != a(z,z,u) * z | x \ (T(z * z,u) / z) = y. (x * x) \ (T(x * x,y) / x) = a(x,x,y) / x. x * y != (z * z) * (L(u,z,z) \ 1) | (u \ (z * z)) / y = x. (x \ (y * y)) / y = (L(x,y,y) \ 1) * y. (L(x,y,y) \ 1) * y = (x \ (y * y)) / y. L(1 / x,y,y) != z | 1 / L(x,y,y) = z. 1 / L(x \ y,x,x) = T(x / y,x \ 1). x != y / ((z \ 1) \ 1) | (z * (1 / y)) \ 1 = x. (x * (1 / y)) \ 1 = L(y,x,x) * (x \ 1). L(x,y,y) * (y \ 1) = (y * (1 / x)) \ 1. x * y != ((y \ 1) \ z) / (y \ 1) | y * z = x. (x \ 1) * y = L(((x \ 1) \ 1) \ y,x,x). L(((x \ 1) \ 1) \ y,x,x) = (x \ 1) * y. x != y * ((y \ 1) * z) | L(z,y,y) = x. L(x,y,y) = L(x,y \ 1,y \ 1). L(x,y \ 1,y \ 1) = L(x,y,y). L(x,y \ 1,y \ 1) != z | L(x,y,y) = z. L(x,y \ 1,z) != u | L(x,1 / y,z) = u. L(x,1 / y,y \ 1) = L(x,y,y). L(x,y,z \ 1) != u | L(x,y,1 / z) = u. L(x,1 / y,1 / y) = L(x,y,y). x * T(K(x,y),z) != u | T(x,y) * K(K(x,y),z) = u. x * (T(y,x) \ z) != u | T(x,y) * (y \ z) = u. T(T(x,y),x \ z) != u | T((x \ z) \ z,y) = u. K(x,y * y) = a(x,y,y). a(x,x,y) = a(y,x,x). a(x,y,y) = a(y,y,x). x != a(y,y,z \ 1) | a(z,y,y) = x. a(x,y,y) = a(x \ 1,y,y). a(x \ 1,y,y) = a(x,y,y). x \ y != a(z,z,u) | x * a(u,z,z) = y. x * a(x,y,y) = L(x,y,y). a(x,y,y) != z | K(y * y,x \ 1) = z. K(x * x,y \ 1) = a(x,x,y). x * a(x,x,y) = L(x,y,x). x \ L(x,y,y) != z | a(x,y,y) = z. x * a(x,x,y) != z | T(x * x,y) / x = z. T(x * x,y) / x = L(x,y,x). x \ y != z * a(z,z,u) | x * L(z,u,z) = y. x * L(x,y,x) = T(x * x,y). L(L(x,y,x),x,x) = (x \ 1) \ a(x,x,y). x * y != T(z * z,u) / z | x \ L(z,u,z) = y. (1 / x) \ L(x,y,x) = T((1 / x) \ x,y). a(x,x,y) != z | a(y,x,x) = z. K(x,y * y) != z | a(x,y,y) = z. (x * y) * (L(y \ z,y,x) \ 1) != u | ((x * z) / (x * y)) \ (x * y) = u. (x * x) \ (K(x,y) * z) != u | (1 / x) * (T(x,y) \ z) = u. L((x \ 1) * (x \ 1),y,y) = (x \ 1) / x. x * (y * x) != z | (x * y) / (1 / x) = z. K(x,y) * K(y,y * x) = y \ L(y,x,y). (x \ y) \ (x / y) != z | (x / y) * T(x / y,x) = z. K(x * y,x) * K(x,y) = x \ R(x,y,x). x \ R(x,y,x) != z | K(x * y,x) * K(x,y) = z. (x * y) * K(z,y) != u | x * T(y,z) = u. T(x,y) * K(x,z) != u | K(x,y) * T(x,z) = u. x * (1 / (x * y)) = (1 / x) \ (1 / ((x \ 1) \ y)). (1 / x) \ (1 / ((x \ 1) \ y)) = x * (1 / (x * y)). ((x * y) * ((y \ 1) * (1 / z))) / (1 / L(z,y,y)) = R(x,y,y \ (1 / L(z,y,y))). (1 / x) \ (y \ 1) != x * z | L(y,x,x) \ 1 = z. T(x,y) \ z != u | K(x,y) * (x \ z) = u. K(x,y) * ((x * x) \ z) != u | T(x,y) \ ((x \ 1) * z) = u. 1 / (T(x,y) / y) = T(y / x,y \ 1). R(L(x,y,y),y \ 1,z) = (((y * (1 / x)) \ 1) * z) / ((y \ 1) * z). L(x,y,y) != (y \ 1) * T(z,y) | z * (1 / y) = x. x * (1 / y) = ((y \ 1) \ 1) \ T(x,y). ((x \ 1) \ 1) \ T(y,x) = y * (1 / x). ((x \ 1) \ 1) \ y = T(y,x) * (1 / x). T(x,x \ 1) \ y = T(y,x) * (1 / x). ((x \ 1) \ 1) \ (1 / y) != z | 1 / (y * x) = z. 1 / (x * y) = T(1 / x,y) * (1 / y). T(1 / x,y) * (1 / y) = 1 / (x * y). T(x * (y * (1 / x)),x) = x * (((x \ 1) \ 1) \ y). (T(x,y) * (1 / y)) \ 1 = (x \ 1) * y. L(x \ (1 / x),y,y) = (x \ 1) / x. x != (y \ 1) / y | y \ (1 / y) = x. x \ (1 / x) = L(x \ (1 / x),y,y). L(x \ (1 / x),y,y) = x \ (1 / x). x \ y != L(z \ (1 / z),u,u) | x * (z \ (1 / z)) = y. (x \ 1) * (y \ (1 / y)) = x \ (y \ (1 / y)). x * (y \ (1 / y)) = (1 / x) \ (y \ (1 / y)). (1 / x) \ (y \ (1 / y)) = x * (y \ (1 / y)). x * y != L(z \ (1 / z),u,u) | x \ (z \ (1 / z)) = y. x \ (y \ (1 / y)) = ((y \ (1 / y)) \ x) \ 1. ((x \ (1 / x)) \ y) \ 1 = y \ (x \ (1 / x)). K(x,y) * K(y,y \ x) = y \ R(y,y \ x,y). x \ R(x,x \ y,x) = K(y,x) * K(x,x \ y). x \ R(x,y,x) != z | K(x,y) * K(x * y,x) = z. (x \ (x \ y)) * K(z,x \ 1) != u | (y / x) * T(x \ 1,z) = u. (x * K(y,x)) \ z != u | K(x,y) * (x \ z) = u. T(x,y) * T(z,x) != u | K(x,y) * (z * x) = u. K(x,y) * ((x * z) * x) = (T(x,y) * z) * x. x * T(y * z,y) != u | x * (z / (y \ 1)) = u. T(x,y) * (z / (x \ 1)) = (T(x,y) * z) * x. x * y != T(x,z) * T(x * u,x) | T(T(x,z) * u,x) = y. T(T(x,y) * z,x) = K(x,y) * T(x * z,x). K(x,y) * T(x * z,x) = T(T(x,y) * z,x). (x \ (y * T(x,z))) * (x \ 1) = (x \ y) * K(x,z). x \ (y * K(x,z)) = (x \ y) * K(x,z). x * ((x \ y) * K(x,z)) = y * K(x,z). x \ (y * K(x,z)) != u | T(y / T(x,z),x) = u. T(x / T(y,z),y) = (y \ x) * K(y,z). x \ ((y * x) * K(x,z)) = T(y,x) * K(x,z). x * (y * K(x,z)) = (x * y) * K(x,z). (x * y) * K(x,z) = x * (y * K(x,z)). x * ((x * y) * K(x,z)) = (y * (x * x)) * K(x,z). (x * (y * y)) * K(y,z) = y * ((y * x) * K(y,z)). x * ((y \ 1) * K(x,z)) = (T(y,x) \ x) * K(x,z). (T(x,y) \ y) * K(y,z) = y * ((x \ 1) * K(y,z)). T(a(T(x,y) \ 1,z,u),x) = (x \ L(T(x,y),u,z)) * K(x,y). (x \ L(T(x,y),z,u)) * K(x,y) = T(a(T(x,y) \ 1,u,z),x). L(K(x,y),z,x) = K(x,y). R(x,y,K(x,z)) = x. x \ ((x * (y * K(x,z))) / x) = y * (K(x,z) * (x \ 1)). K(K(x,y),x * z) = (K(x,y) * (x * z)) / (x * (z * K(x,y))). (K(x,y) * (x * z)) / (x * (z * K(x,y))) = K(K(x,y),x * z). (x * (y * K(x,z))) * x = (x * y) * T(x,z). T(x,y) * (z * K(x,u)) = (T(x,y) * z) * K(x,u). (T(x,y) * z) * K(x,u) = T(x,y) * (z * K(x,u)). a(x,y,K(x,z)) = 1. a(x,y,K(z,x)) = 1. L(K(x,y),z,y) = K(x,y). x \ y != L(K(z,u),w,u) | x * K(z,u) = y. (x * y) * K(z,x) = x * (y * K(z,x)). (x \ (y / x)) * K(z,x \ y) = (x \ y) * ((x \ 1) * K(z,x \ y)). (x \ y) * ((x \ 1) * K(z,x \ y)) = (x \ (y / x)) * K(z,x \ y). L(L(x,y,z) * K(u,L(x,y,z)),w,v5) * u = u * L(L(x,w,v5),y,z). x * y != T(z,u) * (T(z,u) * x) | z * z = y. (x * y) * (x * y) = (x * T(x * y,y)) * y. (x * T(x * y,y)) * y = (x * y) * (x * y). T(x * y,y) * ((1 / y) \ z) = y * ((x * T(z,y \ 1)) * y). T(x * y,y) * (y * z) = y * ((x * T(z,y)) * y). (K(x,y) * z) * (u * K(x,y)) = K(x,y) * ((z * u) * K(x,y)). x * ((y * (y * (z / x))) * x) = T(z,x) * ((y * y) * x). K(R(x,y,z),u) = R(x * K(u,x),y,z) \ R(x,y,z). R(x * K(y,x),z,u) \ R(x,z,u) = K(R(x,z,u),y). K(x \ y,z) = K((y \ x) \ 1,z). K((x \ y) \ 1,z) = K(y \ x,z). x \ (((y \ (x / z)) * y) * z) = K((x \ (y * z)) \ 1,y). x \ (((y \ (x * z)) * y) / z) = K((x \ (y / z)) \ 1,y). x \ y != K(z \ u,w) | x * K((u \ z) \ 1,w) = y. x * K((y \ z) \ 1,x / (z \ y)) = (z \ y) * (x / (z \ y)). (1 / x) \ ((((1 / x) * y) * (x * x)) / (1 / x)) = y * ((x * (1 * x)) * x). ((1 / x) * (1 / x)) * ((1 / (1 / x)) \ (y * y)) = ((1 / x) * ((y * y) / x)) * (1 / x). T(x \ 1,y) * (1 / x) = T(1 / x,y) / x. T((x * y) \ 1,y \ 1) = (y \ 1) * (T(x,y) \ 1). T(x,y \ 1) \ y = y * (L(x,y,y) \ 1). x * (L(y,x,x) \ 1) = T(y,x \ 1) \ x. x * (L(y,x,x) \ 1) != z | T((y \ 1) * x,x) = z. T((x \ 1) * y,y) = T(x,y \ 1) \ y. (x * (y * x)) \ (x * (x * T(y,x \ 1))) = K(x * x,T(y,x \ 1)). T(T(x,y) \ 1,y \ 1) != z | (y \ x) \ (y \ 1) = z. (x \ y) \ (x \ 1) = (y \ x) * (x \ 1). x != (y \ z) * (z \ 1) | z * ((y * z) \ 1) = x. x * ((y * x) \ 1) = (x \ y) \ (x \ 1). (x \ y) \ (x \ 1) = x * ((y * x) \ 1). x \ (y \ 1) = ((y * x) \ y) * (y \ 1). ((x * y) \ x) * (x \ 1) = y \ (x \ 1). x \ (y \ 1) = y * (((y * x) * y) \ 1). x * (((x * y) * x) \ 1) = y \ (x \ 1). ((x * y) \ x) * (x \ 1) != z | x \ (T(y,x) \ 1) = z. x \ (T(y,x) \ 1) = y \ (x \ 1). x * y != L(y,z,u) \ y | 1 / L(y,z,u) = x. 1 / L(x \ 1,y,z) = (x * L(x \ 1,y,z)) \ x. (x * L(x \ 1,y,z)) \ x = 1 / L(x \ 1,y,z). x * y != ((z * u) \ z) * (z \ 1) | x \ (u \ (z \ 1)) = y. x \ (y \ (x \ 1)) = ((x * y) * x) \ 1. ((x * y) * x) \ 1 = x \ (y \ (x \ 1)). x \ (y \ 1) != z * (y \ 1) | (y * x) \ y = z. x \ ((x \ y) \ 1) = (y / x) \ (x \ 1). (x / y) \ (y \ 1) = y \ ((y \ x) \ 1). x \ (y \ 1) = T(y,x) \ (x \ 1). T(x,y) \ (y \ 1) = y \ (x \ 1). T(x \ (y \ 1),y) = (T(x,y) \ 1) / y. (T(x,y) \ 1) / y = T(x \ (y \ 1),y). x \ ((x * y) \ 1) = (y / (x \ 1)) \ (x \ 1). (x / (y \ 1)) \ (y \ 1) = y \ ((y * x) \ 1). x \ (x \ (y \ x)) = y \ (x \ 1). x \ (x \ y) = (x / y) \ (x \ 1). (x / y) \ (x \ 1) = x \ (x \ y). T(x,y * T(y,z)) \ (y \ (T(y,z) \ 1)) = (y * T(y,z)) \ (x \ 1). x * (y \ (x \ 1)) = x \ (y \ x). x \ (x \ y) != z | (y * (1 / x)) / x = z. ((x \ y) * (1 / y)) / y = x \ (y \ 1). x \ (x \ (y \ x)) != z | y \ (x \ 1) = z. x * ((x * (1 / y)) \ (x \ 1)) = x \ (x \ (x / (y \ 1))). 1 / (x \ (y \ (x \ 1))) = (x * y) * x. (x \ (y \ 1)) * y = (x \ y) * (1 / y). T(T(x,y \ 1) \ 1,y) = (x \ (1 / y)) * y. x \ (x \ L(y,x,x)) = y / T(x * x,y). x \ ((x \ 1) * y) = y / T(x * x,y). (x * x) \ y = y / T(x * x,y). x / T(y * y,x) = (y * y) \ x. ((x * x) \ y) \ y = T(x * x,y). ((x * x) \ y) \ y != z | y / (x \ (x \ y)) = z. x / (y \ (y \ x)) = T(y * y,x). x \ y != T(z * z,y) | (z \ (z \ 1)) * y = x. (x \ (x \ 1)) * y = (x * x) \ y. (x / (x \ y)) \ y = T((x \ y) * (x \ y),y). T((x \ y) * (x \ y),y) = (x / (x \ y)) \ y. T(x * x,y) \ y = x \ (x \ y). (x * (x * y)) / y = T(x * x,x * (x * y)). T(x * x,x * (x * y)) = (x * (x * y)) / y. x * y != (z * z) \ x | T(z \ (z \ 1),x) = y. T(x \ (x \ 1),y) = T(x * x,y) \ 1. (x \ (x \ 1)) \ y = (x * x) * y. x * (y \ 1) != z \ (y \ 1) | (y * z) \ y = x. (x * (y * y)) \ x = y \ (y \ 1). x != y \ (y \ z) | ((y * y) / z) \ 1 = x. ((x * x) / y) \ 1 = T(x * x,y) \ y. T(x * x,y) \ y = ((x * x) / y) \ 1. T(x * x,y) \ y != z | y * (x \ (x \ 1)) = z. x * (y \ (y \ 1)) = y \ (y \ x). x * y != T(z * z,u) \ u | x \ (z \ (z \ u)) = y. x \ (y \ (y \ x)) = y \ (y \ 1). x * (y \ (y \ x)) = (y * y) \ (x * x). (x * x) \ (y * y) = y * (x \ (x \ y)). (x * y) * y = (y \ (y \ 1)) \ x. (x \ (x \ 1)) \ y = (y * x) * x. x != y \ (y \ 1) | (y * y) \ 1 = x. (x * x) \ 1 = (y * (x * x)) \ y. (x * (y * y)) \ x = (y * y) \ 1. (x * (x * y)) \ y = x \ (x \ 1). ((x / y) * x) \ y = (x / y) \ ((x / y) \ 1). (x / y) \ ((x / y) \ 1) = ((x / y) * x) \ y. ((x / y) * x) \ y = (y \ x) \ ((y \ x) \ 1). (x \ y) \ ((x \ y) \ 1) = ((y / x) * y) \ x. x * ((1 / y) \ y) = (1 / y) \ ((1 / y) \ x). (1 / x) \ ((1 / x) \ y) = y * ((1 / x) \ x). x * ((1 / y) \ y) = (y \ 1) \ ((y \ 1) \ x). (x \ 1) \ ((x \ 1) \ y) = y * ((1 / x) \ x). x \ ((x / y) \ y) = (x / y) \ ((x / y) \ 1). (x / y) \ ((x / y) \ 1) = x \ ((x / y) \ y). x * (y \ (y \ 1)) != z | y \ (y \ x) = z. (1 / (x * x)) \ y = (y * x) * x. ((x \ (x \ 1)) \ (x * x)) \ y = (y * (x \ (x \ 1))) * (x \ (x \ 1)). (x * (y \ (y \ 1))) * (y \ (y \ 1)) = ((y \ (y \ 1)) \ (y * y)) \ x. L(x,y * y,y * y) = x. T(x,y * y) = T(x,(y * y) \ 1). T(x,(y * y) \ 1) = T(x,y * y). L(x,y * y,y * y) != z | x = z. x / (y \ (y \ 1)) != z | y * (y * x) = z. L(x,y,y) = T(x,(y * y) \ 1). T(x,(y * y) \ 1) = L(x,y,y). T(x,y \ (y \ 1)) = L(x,y,y). K(x,y \ (y \ 1)) * L(x,y,y) = x. L(x,y,y) * (x \ z) = K(x,y \ (y \ 1)) * z. T(x / L(y,z,z),y) = (y \ x) * K(y,z \ (z \ 1)). (x \ y) * K(x,z \ (z \ 1)) = T(y / L(x,z,z),x). x * L(y,z,z) != y | a(y,z,z) = x. a(x,y,y) = K(x,y \ (y \ 1)). K(x,y \ (y \ 1)) = a(x,y,y). K(x,(1 / y) \ y) = a(x,y \ 1,y \ 1). a(x,y \ 1,y \ 1) = K(x,(1 / y) \ y). T((x * x) \ ((x * x) \ 1),y) = T(x * (x * (x * x)),y) \ 1. x != (y / z) \ 1 | T(y \ z,z) = x. T((x * x) \ y,y) = T(x * x,y) \ y. x != y * (z \ (z \ y)) | ((z * z) \ y) * y = x. ((x * x) \ y) * y = (x * x) \ (y * y). (x * x) \ (y * y) = ((x * x) \ y) * y. (x * x) \ (y * y) != z | x \ (x \ (y * y)) = z. x \ (x \ (y * y)) = y * (x \ (x \ y)). (x * (y * y)) \ 1 = (y * y) \ (x \ 1). (x * (x * y)) \ 1 = (x * x) \ (y \ 1). (x * y) \ 1 = (x * x) \ ((x \ y) \ 1). (x * x) \ ((x \ y) \ 1) = (x * y) \ 1. (x / (1 / y)) \ 1 = (y * y) \ ((x / y) \ 1). (x * x) \ ((y / x) \ 1) = (y / (1 / x)) \ 1. (x * x) * ((x * y) \ 1) = (x \ y) \ 1. x \ y != (z * (z \ u)) \ w | x * (u \ w) = y. (x * x) * (y \ 1) = (x \ (x \ y)) \ 1. (x \ (x \ y)) \ 1 = (x * x) * (y \ 1). x * ((1 / y) \ y) != z | (y \ 1) \ ((y \ 1) \ x) = z. x \ (x \ a(x,x,y)) = 1 / T(x * x,y). x != 1 / T(y * y,z) | T(y * y,z) \ 1 = x. T(x * x,y) \ 1 = x \ (x \ a(x,x,y)). x \ (x \ a(x,x,y)) = T(x * x,y) \ 1. T(x * x,y) \ 1 != x \ z | x \ a(x,x,y) = z. x != T(1 / y,y \ z) | 1 / T(y,z) = x. 1 / T(x,y) = (x \ y) / (x * (y / x)). (x \ y) / (x * (y / x)) = 1 / T(x,y). L(x,y,z) \ x = 1 / (x \ L(x,y,z)). 1 / (x \ L(x,y,z)) = L(x,y,z) \ x. (L(x,y,z) \ x) \ 1 = x \ L(x,y,z). 1 / (x * L(x \ 1,y,z)) = L(1 / x,y,z) \ (1 / x). a(x \ 1,y,z) = (L(x,z,y) \ x) \ 1. (L(x,y,z) \ x) \ 1 = a(x \ 1,z,y). (x \ y) \ 1 != z | (y \ 1) * ((x \ 1) \ 1) = z. (x \ 1) * ((L(x,y,z) \ 1) \ 1) = a(x \ 1,z,y). x * y != (L(z,u,w) \ z) \ 1 | x \ a(z \ 1,w,u) = y. (x \ 1) \ a(x \ 1,y,z) = (L(x,z,y) \ 1) \ 1. (x * x) * (x * (x * y)) = x * (x * ((y * x) * x)). x * y != z * T(z \ x,u) | K(u,z \ x) = y. K(x,y \ z) = K(x,(z \ y) \ 1). K(x,(y \ z) \ 1) = K(x,z \ y). x != K(y,z) | y \ T(y,z) = x. x \ T(x,y \ z) = K(x,(z \ y) \ 1). K(x,(y \ z) \ 1) = x \ T(x,z \ y). x \ y != K(z,u \ w) | x * K(z,(w \ u) \ 1) = y. x * K(y,(z \ u) \ 1) = x * K(y,u \ z). K(x,y \ 1) != z | K(x,1 / y) = z. K(x,1 / (y \ z)) = K(x,z \ y). x \ y != K(z,(u \ w) \ 1) | x * K(z,w \ u) = y. x * K(x,y \ z) = T(x,(z \ y) \ 1). T(x,(y \ z) \ 1) = x * K(x,z \ y). x * y != K(z,(u \ w) \ 1) | x \ K(z,w \ u) = y. (x \ y) \ K(z,y \ x) = T((x \ y) \ 1,z). K(x,y \ 1) = K(x,(z * y) \ z). K(x,(y * z) \ y) = K(x,z \ 1). K(x,y \ 1) = K(x,z \ (z / y)). K(x,y \ (y / z)) = K(x,z \ 1). K(x,L(y \ 1,z,u) \ 1) = K(x,a(y,u,z) \ y). K(x,(K(y,z) * u) \ 1) = K(x,(T(y,z) * u) \ y). K(x,(T(y,z) * u) \ y) = K(x,(K(y,z) * u) \ 1). L(x,K(y,z \ u),u \ z) = x. K(x,(K(y,z) * u) \ 1) = K(x,u \ K(z,y)). L(x,K(y,z),z \ y) = x. K(x,y) * (((y \ x) * K(x,y)) \ z) = (y \ x) \ z. K(x,T(y,z)) = K(x,(y \ z) \ z). K(x,(y \ z) \ z) = K(x,T(y,z)). K(x,T(y / z,y)) = K(x,z \ y). K(x,T(y \ 1,z)) = K(x,z \ (y \ z)). K(x,T(T(y,z) \ 1,z)) = K(x,y \ 1). x * K(x * y,y \ 1) = (x * y) * (x / (x * y)). (x * y) * (x / (x * y)) = x * K(x * y,y \ 1). K(x,(y \ z) / z) = K(x,y \ 1). K(x,y / z) = K(x,(z / y) \ 1). K(x,(y / z) \ 1) = K(x,z / y). x != K(y,T(z,y)) | K(y,z) = x. K(x,y) = K(x,(y \ x) \ x). K(x,(y \ x) \ x) = K(x,y). K(x,T(y,y \ z)) = K(x,T(y,z)). K(x,y / z) = K(x,T(z \ y,y)). K(x,T(y \ z,z)) = K(x,z / y). K(x,y \ x) = K(x,x / y). K(x,x / y) = K(x,y \ x). x * y != K(z,(u / w) \ 1) | x \ K(z,w / u) = y. (x / y) \ K(z,y / x) = T((x / y) \ 1,z). T(x,(y \ z) \ 1) = T(x,z \ y). K(x,(y \ z) \ 1) != u | K(x,z \ y) = u. T((1 / x) * y,x \ 1) != z | y / x = z. x / (y \ z) = T((1 / (y \ z)) * x,z \ y). T((1 / (x \ y)) * z,y \ x) = z / (x \ y). x \ y != T(z,(u \ w) \ 1) | x * T(z,w \ u) = y. (x \ y) * T(z,y \ x) = z / ((x \ y) \ 1). T(x,y \ 1) = T(x,(z * y) \ z). T(x,(y * z) \ y) = T(x,z \ 1). T(x,L(y,z,u) \ 1) = T(x,(u * (z * y)) \ (u * z)). T(x,(y * (z * u)) \ (y * z)) = T(x,L(u,z,y) \ 1). T(x,T(y,z) \ 1) = T(x,(y * z) \ z). T(x,y \ 1) = T(x,z \ (z / y)). T(x,y \ (y / z)) = T(x,z \ 1). T(x,y \ z) * (z \ y) = (1 / (z \ y)) \ x. T(T(x,y \ z),z \ y) != u | L(x,y \ z,y \ z) = u. T(x,(y * (z \ 1)) \ 1) = T(x,y \ T(z,y)). T(x,y \ z) / (z \ y) = T(x,z \ y) * (1 / (z \ y)). T(x,y \ z) * (1 / (y \ z)) = T(x,z \ y) / (y \ z). T(x,(((y * y) * z) \ u) \ 1) = T(x,u \ ((z * y) * y)). T(x,(K(y,z) * u) \ 1) = T(x,u \ K(y,z)). (x \ y) * T(z,y \ x) != u | z / ((x \ y) \ 1) = u. ((x * y) \ x) \ x = T(x * y,y \ 1). T(x * y,y \ 1) = ((x * y) \ x) \ x. x \ y != T(z,(u * w) \ u) | x * T(z,w \ 1) = y. ((x * y) \ x) * T(z,y \ 1) = z * ((x * y) \ x). T(x,y / z) = T(x,(z / y) \ 1). T(x,(y / z) \ 1) = T(x,z / y). T(x,y / (z * y)) = T(x,z \ 1). x \ y != T(z,(u / w) \ 1) | x * T(z,w / u) = y. (x / y) * T(z,y / x) = z / ((x / y) \ 1). T(x,y / z) * (z / y) = (1 / (z / y)) \ x. T(x,T(y \ z,z)) = T(x,z / y). T(x,T(y,z)) = T(x,z / (z / y)). T(x,y / (y / z)) = T(x,T(z,y)). T(x,T(y,y \ z)) = T(x,T(y,z)). T(x,(y \ z) \ 1) != u | T(x,z \ y) = u. K(x,(y * z) \ z) = K(x,z \ (y \ z)). K(x,T(y \ 1,z)) = K(x,T(y,z) \ 1). T(x,T(y,z) \ 1) = T(x,T(y \ 1,z)). T(x,T(y \ 1,z)) = T(x,T(y,z) \ 1). x * y != (z / u) * K(w,u) | x \ (z / T(u,w)) = y. x \ (y / T(y / x,z)) = K(x \ y,x) * K(z,y / x). K(x \ y,x) * K(z,y / x) = x \ (y / T(y / x,z)). x != K(y \ 1,z) | K(1 / y,z) = x. K(1 / (x / y),z) = (x * T(x \ y,z)) / y. (x * T(x \ y,z)) / y = K(1 / (x / y),z). x != (y \ 1) * T((y \ 1) \ (y \ z),u) | y \ T(z,u) = x. x \ T(y,z) = K(((x \ 1) / (x \ y)) \ 1,z) * (x \ y). K(((x \ 1) / (x \ y)) \ 1,z) * (x \ y) = x \ T(y,z). K((x / (x * y)) \ 1,z) * (x * y) = x * T(y,z). x \ y != K(z,z \ u) * z | x * ((z \ u) \ u) = y. x * ((x \ y) \ y) = ((x \ y) \ y) * x. ((x \ y) \ y) * x = x * ((x \ y) \ y). (x / y) \ K(y,y \ x) = (y \ x) \ 1. x * y != T(z,u) * (w * (z \ 1)) | (K(z,u) * T(w,z)) / y = x. (K(x,y) * T(z,x)) / (x \ 1) = x \ ((x * T(x,y)) * z). ((x * x) \ y) / (y / x) = 1 / T(x,x \ y). (x * (x * x)) * y = x * ((y * x) * x). (x * (x * x)) \ (x * ((y * x) * x)) = y. x * y != z * ((u * w) * w) | (z * ((w * w) * u)) / y = x. (x * ((x * x) * y)) / y = x * (x * x). (x * ((y * x) * x)) * ((x * (x * x)) \ 1) = T(y,(x * (x * x)) \ 1). (T(x,x \ 1) * (T(x,x \ 1) * T(x,x \ 1))) * y = T(x,x \ 1) * T(x * (y * T(x,x \ 1)),x \ 1). (x * (x * x)) * y != z | x * ((y * x) * x) = z. (x * ((x * x) * y)) / y != z | x * (x * x) = z. x != T(1 / y,z * z) | 1 / L(y,z,z) = x. 1 / L(x,y,y) = (y * y) / ((x * y) * y). (x * x) / ((y * x) * x) = 1 / L(y,x,x). x * y != (z * z) / ((u * z) * z) | x \ (1 / L(u,z,z)) = y. (x * x) \ (1 / L(y,x,x)) = 1 / ((y * x) * x). x != y \ (z * (1 / y)) | (y \ z) / y = x. (x \ y) / x = ((x \ 1) * y) * (x \ 1). ((x \ 1) * y) * (x \ 1) = (x \ y) / x. ((x \ 1) * y) * (x \ 1) != z | (x \ y) / x = z. (x \ (y \ 1)) * (y \ 1) = (y \ (T(x,y \ 1) \ 1)) / y. (x \ (T(y,x \ 1) \ 1)) / x = (y \ (x \ 1)) * (x \ 1). ((x \ 1) \ y) * x = x / ((x \ 1) * (y \ 1)). x / ((x \ 1) * (y \ 1)) = ((x \ 1) \ y) * x. x * ((y \ 1) * x) = ((x \ 1) * T(y,x)) \ x. ((x \ 1) * T(y,x)) \ x = x * ((y \ 1) * x). K(x,y) * ((x \ 1) * z) = (T(x,y) \ 1) * z. (x * x) * ((x \ 1) * y) = T(x,x \ 1) * y. T(x * ((1 / y) * (1 / y)),y) = (y \ 1) * (x / y). x \ y != (z \ 1) * L(z,u,w) | x * (L(z,u,w) * (1 / z)) = y. x * (L(x,y,z) * (1 / x)) = L(L(x,y,z),x,x). x \ (x \ T(x * x,y)) = a(x,x,y) \ 1. x \ (x \ T(x * x,y)) != z | a(x,x,y) = z. a(x,x,y) = a(x,x,y) \ 1. a(x,x,y) \ 1 = a(x,x,y). 1 / ((x \ y) / y) = ((1 / x) \ y) / y. ((1 / x) \ y) / y = 1 / ((x \ y) / y). (x * (1 / y)) \ x = 1 / ((y \ x) / x). 1 / ((x \ y) / y) = (y * (1 / x)) \ y. 1 / ((x * y) \ x) = (x * (1 / y)) \ x. (x * x) * (x * y) != z | x * (x * ((x \ 1) \ y)) = z. x * (x * ((x \ 1) \ (y / x))) = ((x \ 1) \ y) * x. (x * x) * (x * ((y / x) * y)) = ((x \ 1) \ (y * T(y,x))) * x. ((x \ 1) \ (y * T(y,x))) * x = (x * x) * (x * ((y / x) * y)). ((x * (y * (1 / x))) \ (1 / x)) * (1 / x) = (y / (1 / x)) \ (1 / x). (1 / x) * (((1 / x) \ y) * ((1 / x) \ y)) = x * ((y * ((1 / x) \ y)) * (1 / x)). x != (y \ 1) \ (z / y) | y * (z * (1 / y)) = x. x * (y * (1 / x)) = (x \ 1) * (y / (x \ 1)). (x \ 1) * (y / (x \ 1)) = x * (y * (1 / x)). (x \ 1) * ((x \ 1) * y) != z | y * (x \ (1 / x)) = z. x * (y \ (1 / y)) = (x * (y \ 1)) / y. (x * (y \ 1)) / y = x * (y \ (1 / y)). x / y != (y \ 1) * z | y * (z * (1 / y)) = x. x * (((x \ 1) * y) * (1 / x)) = y * (x \ 1). (x \ 1) * ((x \ 1) * T(y,x)) = (x \ y) / x. (x \ 1) * ((x \ 1) * (x \ y)) = (x \ (y / x)) / x. ((x * y) * z) / x != u | x * (y * (z * (x \ 1))) = u. x * (y * ((x \ 1) * (x \ 1))) = (x * y) * (x \ (1 / x)). (x \ (y / x)) / x = (x \ y) * (x \ (1 / x)). (x \ y) * (x \ (1 / x)) = (x \ (y / x)) / x. (x \ (x \ y)) / x = (y / x) * (x \ (1 / x)). (x / y) * (y \ (1 / y)) = (y \ (y \ x)) / y. (x * (y \ (1 / y))) / y = y \ (y \ (x / y)). ((x \ 1) \ 1) \ (((1 / x) * (1 / x)) * y) = (1 / x) * ((1 / x) * ((1 / x) * y)). x != y * K(z,y \ 1) | T(y,y * z) = x. T(x,x * y) = (x * x) * T(1 / x,y). (x * x) * T(1 / x,y) = T(x,x * y). T(x,y * ((z \ 1) \ u)) = T(x,y * ((1 / z) \ u)). T(x,y * ((1 / z) \ u)) = T(x,y * ((z \ 1) \ u)). K(x,y) \ (z * T(x,y)) != u | x * T(z,T(x,y)) = u. x * T(y,T(x,z)) = T(y * x,K(x,z)). T(x * y,K(y,z)) = y * T(x,T(y,z)). T((1 / L(T(x,y),z,u)) * x,K(x,y)) = x * (L(T(x,y),z,u) \ 1). (K(x,y) * z) / T(x,y) != u | T(x \ z,T(x,y)) = u. T(x \ y,T(x,z)) = T(y,K(x,z)) / x. T(x,K(y,z)) / y = T(y \ x,T(y,z)). T(x,K(T(y,z),z)) / T(y,z) = T(T(y,z) \ x,y). (x \ (T(y,x) * (1 / x))) / x = x \ (x \ (y / x)). x * ((y / x) * (y / x)) != z | (y / x) * y = z. (x / y) * x = T(x * (y \ x),y). T(x * (y \ x),y) = (x / y) * x. x \ y != T(z * (u \ z),u) | x * ((z / u) * z) = y. x * ((y / x) * y) = (y * (x \ y)) * x. (x * (y \ x)) * y = y * ((x / y) * x). x * ((y / x) * y) != z | (y * (x \ y)) * x = z. (x * (y \ x)) * y = y * ((x * T(x,y)) / y). x * ((y * T(y,x)) / x) = (y * (x \ y)) * x. x != ((y * y) * z) * y | (y * y) * (z * y) = x. (x * x) * (y * x) = T(x * (x * (x * y)),x). T(x * (x * (x * y)),x) = (x * x) * (y * x). (x / (1 / y)) * x = (((y \ 1) \ 1) * x) * T(x,y \ 1). (((x \ 1) \ 1) * y) * T(y,x \ 1) = (y / (1 / x)) * y. ((x \ 1) \ 1) * y = T(y,x \ 1) / (1 / x). T(x,y \ 1) / (1 / y) = ((y \ 1) \ 1) * x. x * y != ((z / u) \ u) \ u | x \ ((z \ u) \ 1) = y. x \ ((y \ x) \ 1) = (y \ (x * x)) \ 1. (x \ (y * y)) \ 1 = y \ ((x \ y) \ 1). (T(1 / x,y) \ (y * y)) \ 1 = y \ ((y * x) \ 1). T(T(x,y),x * y) != z | R(x,x,y) = z. R(x,x,y) = T(y * x,x) / y. T(x * y,y) / x = R(y,y,x). K(x \ 1,x * (y * x)) != z | K(x,x \ y) = z. x != ((y \ 1) \ 1) \ T(z,y) | z * (1 / y) = x. x * (1 / y) = T(T(x,y) * (1 / y),y \ 1). T(T(x,y) * (1 / y),y \ 1) = x * (1 / y). x * y != T(z * (1 / u),u \ 1) | (((u \ 1) \ 1) \ z) / y = x. (((x \ 1) \ 1) \ y) / (x \ 1) = x * (y * (1 / x)). x * y != T(z * (1 / u),u \ 1) | x \ (((u \ 1) \ 1) \ z) = y. (1 / x) \ (((x \ 1) \ 1) \ y) = (y * (1 / x)) * x. 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) * ((y \ 1) \ z) = T(y \ 1,x * (y \ 1)) \ z. T(x \ 1,y * (x \ 1)) \ z = K(y,x) * ((x \ 1) \ z). K(x,y \ z) * ((z \ y) \ u) = T(z \ y,x * (z \ y)) \ u. T(x \ y,z * (x \ y)) \ u = K(z,y \ x) * ((x \ y) \ u). (x \ 1) * (T(x,x * y) \ z) = T(x \ 1,y) * (x \ z). x * y != K(z,z \ u) * (z \ u) | x \ (u / z) = y. x \ (y / x) = ((x \ y) \ y) \ (x \ y). ((x \ y) \ y) \ (x \ y) = x \ (y / x). x * a(((x \ y) \ y) \ 1,z,u) = K(x,x \ y) * L((x \ y) \ y,u,z). K(x,x \ y) * L((x \ y) \ y,z,u) = x * a(((x \ y) \ y) \ 1,u,z). (x \ (y \ x)) * (y \ x) = y \ (x / y). (T(x,y) \ 1) * (x \ y) = x \ (y / x). ((x \ y) * (x \ y)) \ (x \ (y / x)) != z | (y \ (x \ y)) / (x \ y) = z. (x / (x / y)) * ((x / y) * z) = y * ((y \ x) * z). L(x,y,x) * K(x * y,x) = x * K(y,x). (x * K(y,x)) \ L(x,y,x) = K(x,x * y). (x \ y) * (T(x,z) \ 1) = x \ (y / T(x,z)). x * ((1 / y) \ z) != u | x * T(z * y,y) = u. (x \ 1) * T(y * x,x) = K(x,x \ 1) * y. (x \ y) * T(z,y / x) = K(x,x \ y) * (z * (y / x)). K(x,x \ y) * (z * (y / x)) = (x \ y) * T(z,y / x). x != y * T(z * u,u) | y * ((1 / u) \ z) = x. x * ((1 / y) \ x) = ((x * y) * (x * y)) / y. ((x * y) * (x * y)) / y = x * ((1 / y) \ x). ((x \ 1) * y) * T((x \ z) * (1 / x),x \ 1) = ((x \ 1) * (y * (z * (1 / x)))) * (x \ 1). (x * y) * T(y,y \ 1) = (1 / y) \ (y * x). x != T(y * z,y) / y | L(z,y,y) = x. L(x,y,y) = T(x,y) * K(y,y * x). T(x,y) * K(y,y * x) = L(x,y,y). L(x,y,y) * (y * x) = T(x,y) * T(y * x,y). T(x,y) * T(y * x,y) = L(x,y,y) * (y * x). (x \ 1) * y != T(T(z,x) \ 1,x \ 1) | T(z \ x,x \ 1) = y. T(x \ y,y \ 1) = (y \ T(x,y)) \ 1. T(x \ (y \ z),z \ y) = ((y \ z) \ T(x,y \ z)) \ 1. ((x \ y) \ T(z,x \ y)) \ 1 = T(z \ (x \ y),y \ x). x * y != T((z / u) \ 1,u) | x \ (z \ u) = y. (x \ 1) \ (y \ x) = ((x \ 1) * (y / x)) \ 1. ((x \ 1) * (y / x)) \ 1 = (x \ 1) \ (y \ x). x \ (T(y,x \ 1) \ 1) = T((y * x) \ 1,x \ 1). T((x * y) \ 1,y \ 1) = y \ (T(x,y \ 1) \ 1). L(1 / ((x / y) * x),x \ y,x \ y) = (x \ y) * (1 / x). (((x \ 1) \ y) \ 1) \ x = x / (x \ (1 / y)). x * y != (z \ 1) * (1 / (z * u)) | x \ (1 / (z * (u * z))) = y. x \ (1 / (x * (y * x))) = (x * x) \ (1 / (x * y)). (x * x) \ (1 / (x * y)) = x \ (1 / (x * (y * x))). (x \ (x \ y)) / x != z | (x * x) \ (y * (1 / x)) = z. (x * x) \ ((x / y) * (1 / x)) = x \ (1 / (x * y)). x / y != y \ z | y * (z / y) = x. x * ((1 / (x * y)) / x) = x \ (x \ (x / y)). x \ (x / (1 / (T(y,x) / x))) = T(1 / (x / y),x \ 1). L(x * (y * x),x * (y * x),x * (y * x)) = ((x * y) \ 1) \ x. (x * (y \ (1 / y))) * (z * x) = x * (((y \ (1 / y)) * z) * x). (x * ((x \ 1) \ y)) \ 1 = y \ (x \ (1 / x)). K(x,y) * T(T(x,y) * z,x) = T(x * z,x). x \ (y * T(x,z)) = T(y,x) * K(x,z). T(x * T(y,z),y) = T(x * y,y) * K(y,z). T(x * y,y) * K(y,z) = T(x * T(y,z),y). x \ (y * T(x,z)) != u | T(y * K(x,z),x) = u. T(x * K(y,z),y) = T(x,y) * K(y,z). K(x,y) * (T(z,x) * K(x,u)) = T(x,y) \ (z * T(x,u)). x * y != T(z,u) * K(u,w) | x \ T(z * K(u,w),u) = y. x \ T(x * K(y,z),y) = K(x,y) * K(y,z). T(x * K(y,z),y) != u | (1 / y) \ (x / T(y,z)) = u. (1 / x) \ (y / T(x,z)) = T(y,x) * K(x,z). (T(x,y) * K(y,z)) * y = y * (x * K(y,z)). (x * (y / x)) * x = (x * (y / T(x,z))) * T(x,z). (x * (y / T(x,z))) * T(x,z) = (x * (y / x)) * x. ((x * y) * (x * y)) / y != z * u | (x * T(x * y,y)) / u = z. (x * ((1 / y) \ x)) * y = (x * y) * (x * y). T(T(x,y \ 1) \ 1,y) != z | y * ((x * y) \ 1) = z. x * ((y * x) \ 1) = (y \ (1 / x)) * x. (x \ (1 / y)) * y = y * ((x * y) \ 1). x * y != T(T(z,x \ 1) \ 1,x) | T(z \ (1 / x),x) = y. T(x \ (1 / y),y) = (x * y) \ 1. ((x * y) * y) \ y = x \ (1 / y). T((x * y) \ 1,y) = x \ (1 / y). x * y != T(z \ (1 / u),u) | ((z * u) \ 1) / y = x. ((x * y) \ 1) / y = (1 / y) * (x \ (1 / y)). (1 / x) * (y \ (1 / x)) = ((y * x) \ 1) / x. (x * y) \ 1 != T(z,y) | x \ (1 / y) = z. T(x,y) != (z * y) \ 1 | z \ (1 / y) = x. ((x * y) \ 1) * (y \ 1) = y \ (x \ (1 / y)). ((x * y) \ 1) * (y \ 1) != z | y \ (x \ (1 / y)) = z. ((x * y) \ 1) * y = y * (x \ (1 / y)). ((x * y) * y) \ z != u | ((y * y) * x) \ z = u. ((x * x) * y) \ x = y \ (1 / x). x \ y = ((y * y) \ x) \ (1 / y). ((x * x) \ y) \ (1 / x) = y \ x. x / (y \ (1 / x)) = (x * x) * y. ((x / ((x * x) * y)) \ 1) \ x = x * (y \ (1 / x)). (x * x) / y = x / ((1 / y) \ (1 / x)). x / ((1 / y) \ (1 / x)) = (x * x) / y. x / y = (x * x) * ((1 / x) / y). (x * x) * ((1 / x) / y) = x / y. ((x * x) * y) \ x != z | y \ (1 / x) = z. x / (1 / (x * (1 / y))) = (x * x) * (y \ 1). (x * x) \ (x / y) = (1 / x) / y. x \ y != (z * z) * ((1 / z) / u) | x * (z / u) = y. (x \ 1) * (x / y) = x * ((1 / x) / y). (x * x) \ (x / y) != z | (1 / y) / T(x,y) = z. (1 / x) / T(y,x) = (1 / y) / x. x * y != (z * z) \ (z / u) | x \ ((1 / z) / u) = y. (1 / x) \ ((1 / x) / y) = x \ (x / y). ((1 / x) / y) / (x \ 1) = (x / y) * (1 / x). (1 / x) / (x \ y) = (1 / (y / x)) / x. (1 / (x / y)) / y = (1 / y) / (y \ x). (1 / x) / (y / x) = (1 / (x \ y)) / x. (1 / (x \ y)) / x = (1 / x) / (y / x). (1 / (x \ 1)) / (T(x,x \ 1) * y) = (1 / (y * x)) / (x \ 1). x * y != z * (((z * u) * z) \ 1) | (u \ (z \ 1)) / y = x. (x \ (y \ 1)) / y = (y * x) \ (1 / y). ((x * y) \ 1) * x = x * (T(y,x) \ (1 / x)). x * (T(y,x) \ (1 / x)) = ((x * y) \ 1) * x. x / (1 / (x * (y \ 1))) = (x * x) / y. T(1 / (x / y),x \ 1) = (x \ 1) / (x * ((1 / x) / y)). (x \ 1) / (x * ((1 / x) / y)) = T(1 / (x / y),x \ 1). (1 / (x \ y)) / x != z | (1 / x) * (x / y) = z. (1 / x) * (x / y) = (1 / x) / (y / x). (1 / x) / (y / x) = (1 / x) * (x / y). x / (1 / (x * y)) = (x * x) / (1 / y). (x * x) / (1 / y) = x / (1 / (x * y)). (x * x) / (1 / y) != z | L((y * x) * x,y,y) = z. L((x * y) * y,x,x) = y / (1 / (y * x)). x != (y * (y * z)) / z | T(y * y,z) = x. T(x * x,y) = T(x * x,x * (x * y)). T(x * x,x * (x * y)) = T(x * x,y). T(x * x,x * y) = T(x * x,x \ y). T(x * x,x \ y) = T(x * x,x * y). x \ y != (z \ u) \ ((z \ u) \ 1) | x * (((u / z) * u) \ z) = y. x * (((y / z) * y) \ z) = (z \ y) \ ((z \ y) \ x). (x \ y) \ ((x \ y) \ z) = z * (((y / x) * y) \ x). (((x / y) * x) \ y) * z = ((y \ x) * (y \ x)) \ z. ((x \ y) * (x \ y)) \ z = (((y / x) * y) \ x) * z. (1 / x) \ y != z | T(y,x \ 1) * x = z. T((1 / x) \ y,x \ 1) * x = y * ((1 / x) \ x). (x / y) \ ((x / y) \ 1) != z | ((x / y) * x) \ y = z. ((x / y) * x) \ y = x \ ((x / y) \ y). x \ y != (z * z) \ ((u / z) \ 1) | x * ((u / (1 / z)) \ 1) = y. x * ((y / (1 / x)) \ 1) = (x \ 1) * ((y / x) \ 1). (x \ 1) * ((y / x) \ 1) = x * ((y / (1 / x)) \ 1). (x / (y \ z)) * ((z \ y) \ 1) = (z \ y) \ ((1 / (y \ z)) * x). (x \ y) \ ((1 / (y \ x)) * z) = (z / (y \ x)) * ((x \ y) \ 1). x * y != (z * u) / u | x \ z = y. (x \ y) \ z = T(z * ((x \ y) \ 1),y \ x). T(x * ((y \ z) \ 1),z \ y) = (y \ z) \ x. (x \ y) * (z / ((y \ x) \ 1)) = ((y \ x) * z) / ((x \ y) \ 1). ((x \ y) * z) / ((y \ x) \ 1) = (y \ x) * (z / ((x \ y) \ 1)). (x \ y) * z != (1 / (x \ y)) \ u | T(T(u,y \ x),x \ y) = z. T(T(x,y \ z),z \ y) = L(x,z \ y,z \ y). K(x,1 / (y / z)) = (y * T(y \ z,x)) / z. (x * T(x \ y,z)) / y = K(z,1 / (x / y)). T(1 / T(x,x \ y),y / x) != z | (y / x) \ ((x * x) \ y) = z. x / ((x \ 1) * (y \ 1)) != z | ((1 / y) / x) \ x = z. ((1 / x) / y) \ y = ((y \ 1) \ x) * y. (x / y) \ y = ((y \ 1) \ (x \ 1)) * y. ((x \ 1) \ (y \ 1)) * x = (y / x) \ x. (K(x,y) / z) \ z = ((z \ 1) \ K(x,y)) * z. ((x \ 1) \ K(y,z)) * x = (K(y,z) / x) \ x. ((x * y) \ 1) \ x = x * (((y \ 1) \ 1) * x). x * (((y \ 1) \ 1) * x) = ((x * y) \ 1) \ x. K(x,y) * (x * (z / x)) = (T(x,y) \ 1) * (z * x). x * (y / (z \ 1)) != u | x * T(z * y,z) = u. (x \ 1) * T(x * y,x) = x * (y * (1 / x)). (x \ 1) * T(y,x) = x * ((x \ y) * (1 / x)). x * ((x \ y) * (1 / x)) = (x \ 1) * T(y,x). x * y != z * (x \ 1) | (x \ 1) * (z / x) = y. (x \ 1) * (y / x) = ((x \ 1) * y) * (1 / x). ((x \ 1) * y) * (1 / x) = (x \ 1) * (y / x). (x \ 1) * ((x * y) \ 1) = (x \ (y \ 1)) / x. (x \ 1) * (y \ (1 / y)) != z | x \ (y \ (1 / y)) = z. x \ (x \ (1 / x)) = (x \ (1 / x)) / x. (x \ (1 / x)) / x = x \ (x \ (1 / x)). ((x \ (1 / x)) \ x) * T(y,(x \ (1 / x)) / x) = y / (((x \ (1 / x)) \ x) \ 1). x / y != y \ (y \ z) | z * (1 / y) = x. (x / y) * (1 / y) = x * (y \ (1 / y)). (x \ (y / x)) * (1 / x) = ((x \ 1) * y) * (x \ (1 / x)). ((x \ 1) * y) * (x \ (1 / x)) = (x \ (y / x)) * (1 / x). (x * (y \ (1 / y))) * K(z,1 / y) = (x / y) * T(1 / y,z). x \ (y * T(y,x)) = y * (x \ y). x * (y * (x \ y)) = y * T(y,x). (1 / x) * ((x * y) * (x * ((x \ 1) \ y))) = (x * y) * T(x * y,1 / x). (x * T(x,y)) * y = (y * x) * T(x,y). (x * x) * ((y * x) * (y / x)) = (y * x) * T(y * x,x * x). (x * y) * T(x * y,y * y) = (y * y) * ((x * y) * (x / y)). (x * x) * ((x * y) * ((1 / x) * y)) = (x * y) * T(x * y,x * x). x * ((x / (y \ 1)) * ((x * (1 / y)) \ x)) = (x / (y \ 1)) * T(x / (y \ 1),x). x * ((y \ (y \ x)) * (y \ (y \ 1))) = (y \ (y \ x)) * T(y \ (y \ x),x). (x \ (x \ y)) * T(x \ (x \ y),y) = y * ((x \ (x \ y)) * (x \ (x \ 1))). x != (y * z) * T(z,y) | (z * y) * z = x. (x * y) * x = (x * T(x,y)) * y. (x * T(x,y)) * y = (x * y) * x. x * y != (z * u) * T(u,z) | ((u * z) * u) / y = x. ((x * y) * x) / y = x * T(x,y). x * (x / y) = ((x / y) * T(x / y,y)) * y. ((x / y) * T(x / y,y)) * y = x * (x / y). x \ y != (z * T(z,u)) * u | x * ((z * u) * z) = y. x * ((y * (x \ 1)) * y) = T(y * T(y,x \ 1),x). T(x * T(x,y \ 1),y) = y * ((x * (y \ 1)) * x). ((1 / x) \ (y * T(y,x))) * x = x * ((y * x) * y). T((x * T(x,y)) \ 1,y) = ((x * y) * x) \ y. x * ((1 / x) \ (y * T(y,x))) = ((y * x) * y) * x. (((x * y) \ x) * T((x * y) \ x,x)) * x = (y \ x) * ((x * y) \ x). ((x \ 1) * T(x \ 1,(y \ 1) \ 1)) * ((y \ 1) \ 1) = ((y \ x) \ 1) * (x \ 1). (T(x,y \ 1) * T(y,y \ 1)) / (x / y) = T(y,y \ 1) * T(T(y,y \ 1),x / y). x \ y != T(z * (z * (z * u)),z) | x * ((z * z) * (u * z)) = y. x * ((x * x) * (y * x)) = (x * (x * (x * y))) * x. (x * (x * (x * y))) * x = x * ((x * x) * (y * x)). T(x * (1 / L(x,y,z)),L(x,y,z) \ 1) = x * (1 / L(x,y,z)). x != K(y,y \ z) * u | y \ (((y \ z) \ z) * u) = x. x \ (((x \ 1) \ 1) * y) = (x \ 1) * T(y * x,x). x * (x * (y * ((1 / (x * x)) \ y))) = (y * (x * x)) * (y * (x * x)). x * y != ((z * u) * (z * u)) / u | T(x,y) = y \ (z * ((1 / u) \ z)). T((1 / x) * (y * x),y * x) = (y * x) \ (y * ((1 / x) \ y)). x * y != ((z * u) * (z * u)) / u | (z * ((1 / u) \ z)) / y = x. (x * ((1 / y) \ x)) / y = (y * y) \ ((x * y) * (x * y)). (x * x) \ ((y * x) * (y * x)) = (y * ((1 / x) \ y)) / x. T(x,(y * x) * (y * x)) = ((y * ((1 / x) \ y)) / ((y * x) * (y * x))) \ 1. ((x * ((1 / y) \ x)) / ((x * y) * (x * y))) \ 1 = T(y,(x * y) * (x * y)). x != (1 / y) \ (y * z) | y * ((y \ 1) \ z) = x. x * ((x \ 1) \ y) = (y * x) * T(x,x \ 1). (x * y) * T(y,y \ 1) = y * ((y \ 1) \ x). (((T(x,y) \ 1) \ 1) * (y / (T(x,y) \ 1))) \ 1 = ((T(x,y) \ 1) \ 1) \ (x \ (y \ 1)). x * ((1 / y) / x) = x \ (x \ (x / (x \ y))). x \ (x \ (x / (x \ y))) = x * ((1 / y) / x). K(x,y) * T(x * z,x) != u | T(T(x,y) * z,x) = u. ((1 / x) \ y) * K(x,z) = T(y * T(x,z),x). T(x,y) * T(y,z) = y * (x * K(y,z)). T(x,y) * T(y,z) != u | y \ (x * (T(y,z) * y)) = u. x \ (y * (T(x,z) * x)) = x * (y * K(x,z)). (x * (y \ x)) * (y \ 1) = (x * (y \ 1)) * (x * (y \ 1)). (x * (y \ 1)) * (x * (y \ 1)) = (x * (y \ x)) * (y \ 1). ((x * y) * (x * ((x \ 1) \ y))) * x = ((x * y) * x) * ((x * y) * x). x != (y * y) * ((y * z) \ 1) | (y \ z) \ 1 = x. (x \ y) \ 1 = x / (1 / (x * (1 / (x * y)))). x / (1 / (x * (1 / (x * y)))) = (x \ y) \ 1. x * y != T(z * ((u \ w) \ 1),w \ u) | x \ ((u \ w) \ z) = y. (x \ y) \ ((y \ x) \ z) = T(x \ y,z * ((y \ x) \ 1)) \ (z * ((y \ x) \ 1)). T(x \ y,z * ((y \ x) \ 1)) \ (z * ((y \ x) \ 1)) = (x \ y) \ ((y \ x) \ z). (((x * y) * z) * T(((x * y) * z) \ (y * z),u)) / (y * z) = K(u,1 / R(x,y,z)). ((x \ 1) \ y) * x != z | T(x * (x * y),x) = z. T(x * (x * K(y,z)),x) = (K(y,z) / x) \ x. x * ((1 / y) * x) = ((x * (y \ 1)) \ 1) \ x. ((x * (y \ 1)) \ 1) \ x = x * ((1 / y) * x). (x \ 1) * T(y,x) != z | (x * (1 / y)) \ 1 = z. (x * (1 / (x * y))) \ 1 = x * (y * (1 / x)). x * y != (z \ 1) * T(u \ 1,z) | x \ ((z * u) \ 1) = y. x \ ((x * y) \ 1) = (x \ (y \ 1)) * (1 / x). (x \ (y \ 1)) * (1 / x) = x \ ((x * y) \ 1). (x \ 1) * T(y,x) != x * z | (x \ y) * (1 / x) = z. ((x \ y) * (y / x)) * x = y * (y / x). (x * (x / y)) / y = (y \ x) * (x / y). T(x \ (T(x,y) \ 1),y) = ((x * y) * x) \ y. (x * y) * ((y \ 1) \ 1) = y * ((y \ 1) \ x). x \ (y * (x * T(x,z))) = x * (y * K(x,z)). T(x * T(x,y),x) = (K(x,y) / x) \ x. a((x * (y * (1 / x))) \ 1,z,u) = a(x * (1 / (x * y)),z,u). x * ((y \ 1) \ 1) = y * ((y \ 1) \ (x / y)). x * ((x \ 1) \ (y / x)) = y * ((x \ 1) \ 1). x * (x * (y * K(x,z))) = y * (x * T(x,z)). x \ y != z * ((z \ u) * K(z,w)) | x * (u * K(z,w)) = y. x * (y * K(x,z)) = (x \ y) * (x * T(x,z)). (x \ y) * (x * T(x,z)) = x * (y * K(x,z)). x \ y != z * ((z \ 1) \ (u / z)) | x * (u * ((z \ 1) \ 1)) = y. (1 / x) * (y * ((x \ 1) \ 1)) = x * (y / x). (1 / x) * ((x \ y) \ 1) = x * ((y \ 1) / x). T(x,y * y) = R(x,y,y). (x * (K(y * z,x) * y)) * z = (y * z) * R(x,y,z). L(x,y,y) = R(x,y,y). R(x,y,y) = L(x,y,y). ((x * K(y,z)) * z) / (z * y) = R(x / y,T(y,z),z). T(x,y) \ T(x,y \ 1) = a(y,x,y \ 1). T(x,y) != z | y * (x * (y \ 1)) = z. L(x * (1 / y),y,y) != z | (y \ 1) * T(x,y) = z. (x * (1 / y)) \ 1 != z | (x \ 1) * T(y,x) = z. T((x / (1 / y)) \ 1,x) = L((x \ 1) / y,x,x). x \ (y * (z * x)) = (L(x \ y,x,x) * z) * x. (L(x \ y,x,x) * z) * x = x \ (y * (z * x)). (x \ (y * (y * (x * z)))) / x = L(z,x,x) * ((y * y) / x). (x \ (x * T(y,z))) / x = L(K(y,z),x,x) * (y / x). L(K(x,y),z,z) * (x / z) = (z \ (z * T(x,y))) / z. x != (L(y,z,z) \ 1) * z | (y \ (z * z)) / z = x. (x \ (y * y)) / y = y * (T(y * x,y) \ y). x * (T(x * y,x) \ x) = (y \ (x * x)) / x. x * (T(y,x) \ x) != z | y \ (x * x) = z. (x * y) \ (x * x) = (y \ (x * x)) / x. (x \ (y * y)) / y = (y * x) \ (y * y). (((x * y) \ (x * x)) \ x) * x = x * ((y \ (x * x)) \ (x * x)). (L(x,y,y) * (y * x)) \ 1 = (y * x) \ ((y * x) \ y). x \ (y \ ((z \ (y * x)) * z)) != u | K((y \ z) \ x,z) = u. K((x \ y) \ 1,z) != u | K(y \ x,z) = u. (x * x) \ L(x,y,x) = a(x,x,y) / x. L(x,y,y) * (x \ z) = a(x,y,y) * z. x \ y != L(z,u,u) * (z \ w) | x * (a(z,u,u) * w) = y. x * (a(x,y,y) * z) = L(x,y,y) * z. x * x = L(x,y,y) * L(x,y,y). L(x,y,y) * L(x,y,y) = x * x. x * (a(y,y,x) * z) = L(x,y,y) * z. (x * x) * T(y,L(x,z,z) \ 1) = L(x,z,z) * (y * L(x,z,z)). L(x,y,y) * (z * L(x,y,y)) = (x * x) * T(z,L(x,y,y) \ 1). x * y != L(x,z,u) * (x * w) | L(x,z,u) * w = y. L(x,y,y) * z = a(y,y,x) * (x * z). a(x,x,y) * (y * z) = L(y,x,x) * z. (x * x) \ (1 / L(y,x,x)) != z | x \ (x \ (1 / y)) = z. x \ (x \ (1 / y)) = 1 / ((y * x) * x). 1 / ((x * y) * y) = y \ (y \ (1 / x)). 1 / (((1 / x) * y) * y) = y \ (y \ ((x \ 1) \ 1)). 1 / ((x * x) * y) = x \ (x \ (1 / y)). 1 / ((x \ y) * y) = y \ (y \ (1 / ((y * x) \ y))). x \ (x \ (1 / ((x * y) \ x))) = 1 / ((y \ x) * x). 1 / ((1 / x) \ y) = L((y \ 1) / x,y,y). L((x \ 1) / y,x,x) = 1 / ((1 / y) \ x). x / (1 / (1 / y)) != z | (y * (1 / x)) \ 1 = z. L(x,y,x) * z = T(x,x * y) * (K(y,x) * z). T(x,x * y) * (K(y,x) * z) = L(x,y,x) * z. R(x,K(y,z),T(y,u)) = x. R(x,K(y,z),T(z,u)) = x. (x * (y * ((z * (y \ (x \ u))) / z))) / u = K(z,((x * y) / u) \ 1). ((1 / x) \ y) * T(x,z) = x * (y * T(x,z)). (x * x) \ (x * (y * T(x,z))) = ((1 / x) \ y) / T(x,z). x != (1 / y) * T(y * y,z) | (y \ 1) \ a(y,y,z) = x. (x \ 1) \ a(x,x,y) = T((1 / x) \ x,y) / x. T((1 / x) \ x,y) / x = (x \ 1) \ a(x,x,y). x != y * (1 / T(z,y \ 1)) | T(y / z,y) = x. T(x / y,x) = (x * ((x \ 1) / y)) * x. (x * ((x \ 1) / y)) * x = T(x / y,x). (1 / x) * (x / y) = x * ((x \ 1) / y). (1 / x) * (x / y) != z | (1 / x) / (y / x) = z. (1 / x) / (y / x) = x * ((x \ 1) / y). (1 / x) / y = x * ((x \ 1) / (y * x)). x * ((x \ 1) / (y * x)) = (1 / x) / y. (x * ((y \ 1) * (y \ 1))) * y = T((1 / y) * x,y). x * (x * T(y,z)) = y * (x * (x * (y \ T(y,z)))). x * (y * (y * (x \ T(x,z)))) = y * (y * T(x,z)). K(x * x,y) != z | a(x,x,y) = z. x != (y \ z) \ (y \ 1) | y * ((z * y) \ 1) = x. x * ((y * x) \ 1) = (x \ 1) * ((y * (x \ 1)) \ 1). (x \ 1) * ((y * (x \ 1)) \ 1) = x * ((y * x) \ 1). (x * (y * (1 / x))) \ (x \ 1) = (x \ 1) * (((y / (1 / x)) / x) \ 1). (x \ 1) * (((y / (1 / x)) / x) \ 1) = (x * (y * (1 / x))) \ (x \ 1). (x * (y / x)) \ (x \ 1) = (x \ 1) * (((y * ((x \ 1) \ 1)) / x) \ 1). (x \ 1) * (((y * ((x \ 1) \ 1)) / x) \ 1) = (x * (y / x)) \ (x \ 1). T(x,x \ 1) * ((y * z) * T(x,x \ 1)) != u | ((x \ 1) \ y) * (z * T(x,x \ 1)) = u. ((x \ 1) \ y) * (z * T(x,x \ 1)) = x * ((y * z) * x). ((1 / x) \ y) * ((1 / x) \ y) = (y * x) * (y * x). R(K(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). 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) \ w = K(y,R(x \ 1,z,u) \ 1) * w. K(x,R(y \ 1,z,u) \ 1) * w = R(K(y,x),z,u) \ w. L(K(x \ 1,y),z,u) = K(L(x,z,u) \ 1,y). L(K(x,y),z,u) = K(L(x \ 1,z,u) \ 1,y). K(L(x \ 1,y,z) \ 1,u) = L(K(x,u),y,z). L(K(x,y),z,u) \ 1 = K(y,L(x \ 1,z,u) \ 1). K(x,L(y \ 1,z,u) \ 1) = L(K(y,x),z,u) \ 1. T(x * y,x * x) * (z * (x * x)) = (x * x) * ((T((1 / x) * y,x * x) * z) * (x * x)). (x * x) * ((T((1 / x) * y,x * x) * z) * (x * x)) = T(x * y,x * x) * (z * (x * x)). (x * (x * (x * x))) * y = x * (x * (y * (x * x))). ((x * (x * y)) * (x * x)) / y = x * (x * (x * x)). (T(x * y,y) / x) \ x = x * T(y \ 1,x). (x \ 1) * y = (T(y * x,x) / y) \ y. (T(x * y,y) / x) \ x = (y \ 1) * x. R(x,x,y) \ y = (x \ 1) * y. (x * x) * T((y \ 1) * (y \ (y \ (1 / y))),z) = x * (x * T((y \ (1 / y)) * (y \ (1 / y)),z)). ((x * y) * x) * (x * y) = (x * x) * (x * (y * y)). x * (y * (y * (x \ z))) = (z * ((x * y) * y)) / x. (x * ((y * z) * z)) / y = y * (z * (z * (y \ x))). (x * (y * (z \ 1))) * z = (z \ 1) * (((1 / (z \ 1)) * x) * y). (x \ 1) * (((1 / (x \ 1)) * y) * z) = (y * (z * (x \ 1))) * x. T(x \ (x \ (1 / y)),x \ 1) = (x \ 1) / (x * y). x != y * (z / y) | (y \ z) * y = x. (x \ (x \ (x \ y))) * x = (x \ 1) * (y * (1 / x)). x != (y * y) * T(1 / y,z) | T(y,y * z) = x. T(x,x * y) = (x \ 1) \ K(x,x \ y). (x \ 1) \ K(x,x \ y) = T(x,x * y). x != ((1 / y) \ z) * K(y,u) | T(z * T(y,u),y) = x. T(x * T(y,z),y) = T(x,y \ 1) * T(y,z). T(x,y \ 1) * T(y,z) = T(x * T(y,z),y). x \ (x \ (y * T(x * x,z))) = y * a(x,x,z). x * a(y,y,z) != y \ u | y \ (x * T(y * y,z)) = u. x \ y != z * a(x,x,u) | x \ (z * T(x * x,u)) = y. x != (y * y) * (T(z,y) \ 1) | (y \ 1) \ (z \ y) = x. (x \ 1) \ (y \ x) = (x / ((y \ 1) \ 1)) * x. (x / ((y \ 1) \ 1)) * x = (x \ 1) \ (y \ x). (x / (y \ 1)) * x = (x \ 1) \ ((1 / y) \ x). (x \ 1) \ ((1 / y) \ x) = (x / (y \ 1)) * x. ((x * (1 / y)) \ 1) * y = (y \ 1) \ (x \ y). L((x / (y \ 1)) * x,x,x) = x * ((1 / y) \ x). ((x * (1 / (T(y,x) \ 1))) \ 1) * (T(y,x) \ 1) = ((T(y,x) \ 1) \ 1) \ (y \ (x \ 1)). L(x * y,y,y) != z | x / (1 / y) = z. (x / (y \ 1)) / (1 / x) = x * ((1 / y) \ x). ((x * x) * ((y * x) * x)) / z = (y * ((x * x) * (x * x))) / z. x * (((y \ x) \ 1) * y) = T((1 / y) \ y,x). T((1 / x) \ x,y) / x = L(x,x \ y,x). T((1 / x) \ x,y) / x != z | (x \ 1) \ a(x,x,y) = z. (x \ 1) \ a(x,x,y) = L(x,x \ y,x). x != ((y * z) \ y) \ 1 | y \ (y / (1 / z)) = x. x \ (x / (1 / y)) = (x * y) \ ((x * y) / (y \ 1)). (x * y) \ ((x * y) / (y \ 1)) = x \ (x / (1 / y)). T((x * ((1 / x) * y)) \ 1,x) = T((1 / (1 / x)) * y,x) \ x. x \ (y \ ((z \ (y * x)) * z)) = K((z / y) \ x,z). x * (y \ R(y,x,y)) = T(y * x,y) / y. (x * ((x \ 1) \ y)) \ 1 != z | y \ (x \ (1 / x)) = z. x \ (y \ (1 / y)) = ((y * x) \ 1) * (y \ 1). ((x * y) \ 1) * (x \ 1) = y \ (x \ (1 / x)). (x \ 1) * (y \ (x \ (1 / x))) = x \ (((x * y) \ 1) / x). x \ y != T(z,u) \ ((z \ 1) \ w) | x * (T(z,u) * ((1 / z) * w)) = y. x * (T(x,y) * ((1 / x) * z)) = K(x,y) * ((x \ 1) \ z). T(x,y \ (y \ (1 / z))) = T(x,y \ (y \ (z \ 1))). (x \ (y \ 1)) / x = ((x * x) * (y * x)) \ x. ((x * x) * (y * x)) \ x = (x \ (y \ 1)) / x. (x * y) \ (1 / y) = (y \ (x \ 1)) / y. (x \ (y \ 1)) / x = (y * x) \ (1 / x). (x \ (y \ 1)) / x != z | (x \ 1) * ((x * y) \ 1) = z. (x \ 1) * ((x * y) \ 1) = (y * x) \ (1 / x). x \ y != (z \ (u \ 1)) / z | x * ((u * z) \ (1 / z)) = y. x * ((y * x) \ (1 / x)) = (y \ 1) * (1 / x). T((x * y) / (1 / y),x * y) = 1 / ((y \ (x \ 1)) / y). 1 / ((x * y) \ (1 / y)) = (1 / (y * x)) \ y. x * (y \ (1 / x)) = ((y / x) \ 1) * (1 / x). ((x / y) \ 1) * (1 / y) = y * (x \ (1 / y)). (x \ 1) * (1 / y) != z | ((y \ 1) \ x) \ 1 = z. ((x \ 1) \ (y / x)) \ 1 = x * (y \ (1 / x)). L(x * (y / x),x,x) \ 1 = x * (y \ (1 / x)). (x * (y * (1 / x))) \ 1 = x * (y \ (1 / x)). (x / (1 / y)) \ 1 = y * ((y * x) \ (1 / y)). x * ((x * y) \ (1 / x)) = (y / (1 / x)) \ 1. L(x,y,y) \ 1 != z | L(x \ 1,y,y) = z. L((x * (y / x)) \ 1,x,x) = x * (y \ (1 / x)). L(x,y,y) != y * z | (y \ 1) \ z = x. (x \ 1) \ (y \ (1 / x)) = (x * (y / x)) \ 1. x != (y * (z / y)) \ 1 | (y \ 1) * (z \ y) = x. (x \ 1) * (y \ x) = (x \ 1) \ (y \ (1 / x)). (x \ 1) \ (y \ (1 / x)) = (x \ 1) * (y \ x). x \ y != (z \ 1) * ((z * u) \ z) | x * ((u * z) \ 1) = y. (x \ 1) * ((y * x) \ 1) = (x * y) \ (1 / x). x * y != (z \ 1) * ((u * z) \ 1) | x \ ((z * u) \ (1 / z)) = y. x \ ((x * y) \ (1 / x)) = (x * x) \ ((y * x) \ 1). (x * x) \ ((y * x) \ 1) = x \ ((x * y) \ (1 / x)). (x * (y * (y * x))) \ 1 = y \ (y \ (x \ (x \ 1))). x * L(x,y,z) = (x \ 1) \ L(x,y,z). (x \ 1) \ L(x,y,z) = x * L(x,y,z). x != (y \ z) \ (y * z) | y * y = x. x * x = ((x \ y) \ y) * ((x \ y) \ y). ((x \ y) \ y) * ((x \ y) \ y) = x * x. T((x * (y \ 1)) \ 1,1 / y) * ((1 / y) * ((x * (y \ 1)) \ 1)) = ((x * (y \ 1)) \ 1) * (T(x,y \ 1) \ 1). x / ((L(x,y,z) \ 1) * x) = (L(x,y,z) \ 1) \ 1. (x * x) * y != z | x * (x * L(y,x,x)) = z. (x \ y) * ((x \ y) * L(z,x \ y,x \ y)) = (z * (y / x)) * (y / x). ((x \ 1) * (x \ 1)) * y != z | (x \ 1) * (x \ y) = z. (x \ 1) * (x \ y) = (y * (1 / x)) * (1 / x). (x * (1 / y)) * (1 / y) = (y \ 1) * (y \ x). (x \ (1 / x)) * y = (y * (1 / x)) * (1 / x). (x * (1 / y)) * (1 / y) = (y \ (1 / y)) * x. ((x \ y) * (x \ y)) * (x * x) = (y * x) * (y / x). (x \ 1) * ((y \ 1) * (y \ x)) = x * (((1 / y) * (1 / y)) / x). x != (1 / y) * (z / (1 / y)) | y * (z * (1 / y)) = x. x * (y * (1 / x)) = (((x \ 1) \ 1) * y) / x. (((x \ 1) \ 1) * y) / x = x * (y * (1 / x)). x \ (y / x) = (((x \ 1) \ 1) \ y) * (1 / x). (((x \ 1) \ 1) \ y) * (1 / x) = x \ (y / x). (1 / (x / y)) / y = y * ((1 / x) * (1 / y)). x * ((1 / y) * (1 / x)) = (1 / (y / x)) / x. T((1 / (1 / x)) * y,z) \ z = z * ((y \ 1) / x). (x / (1 / y)) \ y = y * ((x \ 1) / y). ((1 / x) / (1 / y)) \ y = y * (x / y). ((x \ 1) \ y) \ x = x * ((T(y,x) \ 1) / x). x * ((T(y,x) \ 1) / x) = ((x \ 1) \ y) \ x. ((x \ y) \ 1) \ 1 = (1 / x) / (1 / y). (1 / x) / (1 / y) = ((x \ y) \ 1) \ 1. (1 / (x \ y)) / (1 / x) != z | (x \ 1) \ (x / y) = z. (x \ 1) \ (x / y) = (((x \ y) \ x) \ 1) \ 1. (((x \ y) \ x) \ 1) \ 1 = (x \ 1) \ (x / y). x * y != (1 / z) / (1 / u) | x \ (((z \ u) \ 1) \ 1) = y. x \ (((y \ x) \ 1) \ 1) = x * ((1 / y) / x). (1 / x) / y = ((x \ (y \ 1)) \ 1) \ 1. ((x \ (y \ 1)) \ 1) \ 1 = (1 / x) / y. (((x \ y) \ 1) \ 1) / (x \ 1) = (x / (1 / y)) * (1 / x). 1 / ((1 / x) / y) = (x \ (y \ 1)) \ 1. (1 / ((x \ (y \ 1)) \ 1)) * ((1 / x) / y) = (((x \ (y \ 1)) \ 1) \ 1) * (1 / ((x \ (y \ 1)) \ 1)). (((x \ (y \ 1)) \ 1) \ 1) * (1 / ((x \ (y \ 1)) \ 1)) = (1 / ((x \ (y \ 1)) \ 1)) * ((1 / x) / y). T(x,(1 / y) / z) = T(x,y \ (z \ 1)). K(x,(1 / y) / z) = K(x,y \ (z \ 1)). a((1 / x) / y,z,u) = a(x \ (y \ 1),z,u). R(x,y,(1 / z) / u) = R(x,y,z \ (u \ 1)). ((1 / x) / y) \ 1 = 1 / (x \ (y \ 1)). 1 / (x \ (y \ 1)) = ((1 / x) / y) \ 1. ((1 / (x \ (y \ 1))) \ (x \ (y \ 1))) * 1 = (x \ (y \ 1)) * ((1 / x) / y). (x \ 1) * ((1 / y) / z) = ((y \ (z \ 1)) \ x) \ 1. ((x \ (y \ 1)) \ z) \ 1 = (z \ 1) * ((1 / x) / y). x / ((1 / x) / y) = x * ((y \ 1) \ x). (((x \ (y \ 1)) \ (1 / (x \ (y \ 1)))) / 1) \ 1 = ((x \ (y \ 1)) \ 1) \ ((1 / x) / y). x * ((T(y,x) \ 1) / x) != z | (y \ x) * (1 / x) = z. (x \ y) * (1 / y) = ((y \ 1) \ x) \ y. ((x \ 1) \ y) \ x = (y \ x) * (1 / x). x \ y != x * ((1 / z) / x) | x \ (x / (x \ z)) = y. x \ (x / (x \ y)) = ((y \ x) \ 1) \ 1. ((x \ y) \ 1) \ 1 = y \ (y / (y \ x)). x \ y != z \ (z / (z \ u)) | x * (((u \ z) \ 1) \ 1) = y. x * (((y \ x) \ 1) \ 1) = x / (x \ y). x * T(y \ x,x \ y) = x / (x \ y). x * y != x / (x \ (x \ z)) | x / (z * (1 / x)) = y. x / (y * (1 / x)) = (((x \ y) \ x) \ 1) \ 1. (((x \ y) \ x) \ 1) \ 1 = x / (y * (1 / x)). (((x \ y) \ x) \ 1) \ 1 != z | (x \ 1) \ (x / y) = z. (x \ 1) \ (x / y) = x / (y * (1 / x)). x / (y * (1 / x)) = (x \ 1) \ (x / y). x / (y * (1 / x)) != z | (1 / ((x \ 1) * y)) * x = z. (1 / ((x \ 1) * y)) * x = (x \ 1) \ (x / y). ((x \ 1) \ y) * y = (y \ 1) \ (y / (1 / x)). (x \ 1) \ (x / (1 / y)) = ((y \ 1) \ x) * x. K(x,(y * (z / u)) \ 1) / (y * (z / u)) = T(((z \ 1) \ (u \ 1)) \ (1 / y),x). (1 / x) \ (1 / ((x \ 1) \ y)) != z | ((x \ 1) / y) * x = z. ((x \ 1) / y) * x = x * (1 / (x * y)). x * y != (1 / x) \ (1 / ((x \ 1) \ z)) | T((x \ 1) / z,x) = y. T((x \ 1) / y,x) = 1 / (x * y). (1 / x) \ ((x / (1 / y)) \ 1) = x * (1 / (x * y)). T(1 / (x * y),x) = (x \ 1) / y. x != 1 / (y * z) | (y \ (y / z)) * (1 / y) = x. (x \ (x / y)) * (1 / x) = T((x \ 1) / y,x). x * y != T((z \ 1) / u,z) | x \ (1 / (z * u)) = y. x \ (1 / (x * y)) = ((x \ 1) / y) * (x \ 1). ((x \ 1) / y) * (x \ 1) = x \ (1 / (x * y)). T(1 / (x * (x / y)),x) != z | ((y / x) \ x) \ 1 = z. ((x / y) \ y) \ 1 = (y \ 1) / (y / x). (x \ 1) / (x / y) = ((y / x) \ x) \ 1. ((x \ 1) / y) \ x = x * (x * y). x / (1 / (((x \ 1) / y) * x)) = (x \ y) \ 1. (x \ 1) * (x \ (x / y)) = (x \ 1) / y. (x \ 1) \ ((x \ 1) / y) = x \ (x / y). ((x * y) \ 1) * ((x * y) \ x) = ((x * y) \ 1) / y. x * y != (z \ 1) \ ((z \ 1) / u) | (z \ (z / u)) / y = x. (x \ (x / y)) / x = x * (((x \ 1) / y) / x). x * (((x \ 1) / y) / x) = (x \ (x / y)) / x. ((x \ 1) / y) * (x \ 1) != z | (x \ T(1 / x,y)) / y = z. (x \ T(1 / x,y)) / y = x \ (1 / (x * y)). x / (1 / (y * x)) = (x \ (y \ (x \ 1))) \ 1. (x \ (y \ (x \ 1))) \ 1 = x / (1 / (y * x)). (x \ (1 / (x * y))) * y = x \ T(1 / x,y). ((x * y) \ 1) * (1 / y) = y \ (x \ (y \ 1)). x != y * (((y \ z) \ z) \ u) | K(y,y \ z) * u = x. K(x,x \ 1) * y = T(x * (y * (1 / x)),x). T(x * (y * (1 / x)),x) = K(x,x \ 1) * y. K(x,x \ 1) * (y * z) = y * T(x * (z * (1 / x)),x). x * T(y * (z * (1 / y)),y) = K(y,y \ 1) * (x * z). (T(x,y) * K(y,z)) * (y \ 1) = (y \ x) * K(y,z). (x * (y * y)) * K(y,z) = y * (y * (x * K(y,z))). L(K(x,y),z,T(x,u)) = K(x,y). x != T(y,z) * (u * K(y,z)) | y * T(u,K(y,z)) = x. x * T(y,K(x,z)) = (T(x,z) * y) * K(x,z). (T(x,y) * z) * K(x,y) = x * T(z,K(x,y)). (x * (x * T(y,z))) * K(y,z) = y * T(x * x,K(y,z)). T(x * y,y) * (y * z) != y * u | (x * T(z,y)) * y = u. x != (y \ 1) * (T(z,y) \ 1) | (y / (z \ 1)) \ 1 = x. (x / (y \ 1)) \ 1 = T((y * x) \ 1,x \ 1). T((x * y) \ 1,y \ 1) = (y / (x \ 1)) \ 1. (x \ L(x,y,z)) \ (x \ 1) = 1 / L((x \ 1) \ 1,y,z). x * y != a(x,z,u) | L(x \ 1,u,z) = y. L((x \ 1) \ 1,y,z) = (L(x,y,z) \ 1) \ 1. L((x \ 1) \ 1,y,y) != z | y * ((x \ y) \ 1) = z. x * ((y \ x) \ 1) = (L(y,x,x) \ 1) \ 1. (L(x,y,y) \ 1) \ 1 = y * ((x \ y) \ 1). 1 / L((x \ 1) \ 1,y,z) = L(x,y,z) \ 1. L(1 / x,y,z) = (L(x \ 1,y,z) \ 1) \ 1. (L(x \ 1,y,z) \ 1) \ 1 = L(1 / x,y,z). (L(x,y,y) \ 1) \ 1 != z | (x \ (y * y)) \ (y * y) = z. (x \ (y * y)) \ (y * y) = y * ((x \ y) \ 1). (L(x,y / x,y / x) \ 1) \ 1 = (y / x) * (((x \ y) * (x \ 1)) \ 1). (x / y) * (((y \ x) * (y \ 1)) \ 1) = (L(y,x / y,x / y) \ 1) \ 1. a(x,y * ((z \ y) \ 1),u) = a(x,L(z,y,y),u). (x * ((y \ x) \ 1)) \ 1 = 1 / L(y,x,x). 1 / L(L(x,x,x),y,z) = L(x,y,z) \ 1. 1 / L(1 / x,y,z) = L(x \ 1,y,z) \ 1. 1 / L(L(x,y,z),x,x) = L(x,y,z) \ 1. 1 / L(x,y,y) != z | L(1 / x,y,y) = z. L(1 / L(x,y,z),x,x) = L(x,y,z) \ 1. x \ y != L(1 / L(z,u,w),z,z) | x * (L(z,u,w) \ 1) = y. (x \ 1) * (L(x,y,z) \ 1) = x \ (1 / L(x,y,z)). x * y != L(1 / L(z,u,w),z,z) | x \ (L(z,u,w) \ 1) = y. (1 / x) \ (L(x,y,z) \ 1) = x * (1 / L(x,y,z)). x * y != (z \ 1) \ a(z \ 1,u,w) | ((L(z,w,u) \ 1) \ 1) / y = x. ((L(x,y,z) \ 1) \ 1) / x = x * (a(x \ 1,z,y) / x). x != K(y,(K(z,u) * w) \ 1) | K(y,w \ K(u,z)) = x. K(x,y \ K(z,u)) = K(x,(T(u,z) * y) \ u). K(x,(T(y,z) * u) \ y) = K(x,u \ K(z,y)). K(x,y \ z) = K(x,(T(z,u) \ y) \ K(u,z)). K(x,(T(y,z) \ u) \ K(z,y)) = K(x,u \ y). T((1 / x) * ((1 / x) * y),x) = (x \ 1) * (y / x). (x \ 1) * (x \ ((1 / x) * y)) = (x \ (y / x)) / x. T(x,y * (z \ u)) = T(x,y * (((z \ 1) \ 1) \ u)). T(x,y * (((z \ 1) \ 1) \ u)) = T(x,y * (z \ u)). T(x,K(y,z)) / T(y,z) = T(T(y,z) \ x,y). x / y != y \ (y \ (z / y)) | z * (y \ (1 / y)) = x. x * (y \ (1 / y)) = y \ (T(x,y) * (1 / y)). x \ (T(y,x) * (1 / x)) = y * (x \ (1 / x)). x \ (((x \ 1) \ 1) \ y) = y * (x \ (1 / x)). x \ (1 / (y * x)) = (1 / y) * (x \ (1 / x)). (1 / x) * (y \ (1 / y)) = y \ (1 / (x * y)). x * (y \ (1 / y)) != y \ z | ((y \ 1) \ 1) \ x = z. x \ y != z * (x \ (1 / x)) | ((x \ 1) \ 1) \ z = y. (x * ((1 / y) \ x)) \ 1 = x \ ((x * y) \ 1). x != y * ((1 / z) * (1 / y)) | (1 / (z / y)) / y = x. (1 / (x / y)) / y = (((y \ 1) \ 1) \ (1 / x)) / (y \ 1). (((x \ 1) \ 1) \ (1 / y)) / (x \ 1) = (1 / (y / x)) / x. x != (y * (1 / z)) * z | T(T(y,z \ 1),z) = x. T(T(x,y \ 1),y) = (1 / y) \ (((y \ 1) \ 1) \ x). (1 / x) \ (((x \ 1) \ 1) \ y) = T(T(y,x \ 1),x). ((x \ y) \ y) * ((y / x) * z) = x * ((x \ y) * z). T((x * y) \ 1,y \ 1) != z | (y / (x \ 1)) \ 1 = z. (x / (y \ 1)) \ 1 = x \ (T(y,x \ 1) \ 1). x \ (T(y,x \ 1) \ 1) = (x / (y \ 1)) \ 1. (x * x) \ (1 / (x * (y / x))) = x \ (1 / (x * y)). x != (y * (z / y)) * y | (y \ 1) \ z = x. (x \ 1) \ y = (x * (y / T(x,z))) * T(x,z). (x * (y / T(x,z))) * T(x,z) = (x \ 1) \ y. (x * y) * T(x,z) = (x \ 1) \ (y * T(x,z)). (x \ 1) \ (y * T(x,z)) = (x * y) * T(x,z). (((x / y) \ 1) \ 1) \ (z * (1 / (y \ x))) = (((x / y) \ 1) * z) * T((x / y) \ 1,x). ((1 / (x / y)) \ 1) \ (z * ((y \ x) \ 1)) = ((1 / (x / y)) * z) * T(1 / (x / y),x). ((x \ (x \ (x / y))) \ 1) \ x = x * (y \ (1 / x)). (x \ y) \ ((x \ y) \ z) = z * (y \ ((y / x) \ x)). ((x \ y) * (x \ y)) \ z = (y \ ((y / x) \ x)) * z. (x / (1 / y)) * y = x * ((1 / y) \ y). (x / (1 / y)) * y != z | (x * y) / (y \ 1) = z. (x * y) / (y \ 1) = x * ((1 / y) \ y). x * y != (z * u) / (u \ 1) | x \ (z * ((1 / u) \ u)) = y. x \ (y * ((1 / x) \ x)) = T(y * x,x \ 1). x \ (y * T(x * x,x)) = T(y * x,x \ 1). x \ y != T(z,x \ 1) | T(x * z,x) = y. T(x * (y * x),x) = y * T(x * x,x). T(x * (y * x),x) = y * (x * T(x,x \ 1)). x * (y * T(y,y \ 1)) = T(y * (x * y),y). (x \ 1) * ((y / x) \ 1) != z | ((1 / x) * y) \ (x \ 1) = z. ((1 / x) * y) \ (x \ 1) = x * ((y / (1 / x)) \ 1). T(x,y) * (z / x) = (T(x,y) \ 1) * (z * x). (T(x,y) \ 1) * (z * x) = T(x,y) * (z / x). 1 / ((x * x) / y) = x \ (x \ ((y \ 1) \ 1)). x \ (x \ ((y \ 1) \ 1)) = 1 / ((x * x) / y). x \ (x \ ((y \ 1) \ 1)) != z | (1 / (x / y)) / x = z. (1 / (x / y)) / x = 1 / ((x * x) / y). x \ (x \ ((x * (1 / y)) \ x)) = 1 / ((y \ x) * x). (x * (y \ (1 / y))) * y = T((1 / y) * x,y). (1 / x) * ((1 / x) * y) = y * (x \ (1 / x)). T(x * (y \ (1 / y)),y \ 1) = ((1 / y) * x) / y. (x * (y \ (1 / y))) * ((1 / y) * x) = (((1 / y) * x) * ((1 / y) * x)) / y. (((1 / x) * y) * ((1 / x) * y)) / x = (y * (x \ (1 / x))) * ((1 / x) * y). ((1 / x) * (x \ (1 / x))) * y = (1 / x) * ((y * (1 / x)) * (1 / x)). (1 / x) * ((y * (1 / x)) * (1 / x)) = ((1 / x) * (x \ (1 / x))) * y. x * (y * (y * K(x,z))) = y * (y * T(x,z)). x * (y * (y * K(x,y))) = y * (x * y). x * (y * T(y,x)) = y * (x * y). x \ (y * (x * y)) = y * T(y,x). x \ ((x \ y) * y) = (x \ y) * T(x \ y,x). (x \ y) * T(x \ y,x) = x \ ((x \ y) * y). x * ((x * (y * y)) * x) = (x * y) * (x * (x * y)). (x * y) * (x * (x * y)) = x * ((x * (y * y)) * x). (1 / x) * (y * T(y,x \ 1)) = y * ((1 / x) * y). L(x * (y * x),y,y) != z | (y \ 1) \ (x * T(x,y)) = z. T(1 / (x * T(x,y)),y) = y / (x * (y * x)). (x * x) * ((y * x) * T(y * x,x * x)) = (y * x) * (((x * x) * y) * x). T(x * (y * x),y \ 1) = (x * T(x,y)) * T(y,y \ 1). (x * T(x,y)) * T(y,y \ 1) = T(x * (y * x),y \ 1). T(x,(y * (z * y)) \ z) = T(x,(y * T(y,z)) \ 1). T(x,(y * T(y,z)) \ 1) = T(x,(y * (z * y)) \ z). x * T(x,y) != y \ z | x * (y * x) = z. x \ y != z * T(z,x) | z * (x * z) = y. x \ ((T(y,x) \ 1) * (y \ x)) = (T(y,x) \ 1) * T(T(y,x) \ 1,x). (T(x,y) \ 1) * T(T(x,y) \ 1,y) = y \ ((T(x,y) \ 1) * (x \ y)). (1 / x) \ ((x * y) * L(y,x,x)) = (x * y) * T(x * y,1 / x). (x * (x / y)) \ ((y / x) * x) = (y / x) * T(y / x,x * (x / y)). (x / y) * T(x / y,y * (y / x)) = (y * (y / x)) \ ((x / y) * y). ((x * T(x,y)) \ (x * (y * x))) \ 1 = T(1 / y,x * (y * x)). (x \ y) * (y / x) = x \ ((x \ y) * y). x \ ((x \ y) * y) = (x \ y) * (y / x). x != (y \ z) * (z / y) | (z / y) * T(z / y,y) = x. (x / y) * T(x / y,y) = y \ ((y \ x) * x). x * ((x \ y) * (y / x)) = (x \ y) * y. (x \ 1) * (1 / x) != y | x \ (x \ 1) = y. (x * y) \ (y \ x) = ((x * y) \ x) * (x / (x * y)). ((x * y) \ x) * (x / (x * y)) = (x * y) \ (y \ x). (1 / x) * (((1 / x) \ y) * z) != u | (y * (z / x)) / (1 / x) = u. (x * ((x / (1 / y)) / y)) / (1 / y) = ((1 / y) \ x) * x. x \ ((x \ y) * y) != z | (x \ y) * (y / x) = z. (x / y) * (y * (x / y)) = (y \ x) * x. (T(x,y) * K(y,z)) * (T(y,z) * ((y * x) / T(y,z))) = (T(y,z) \ (y * x)) * (y * x). (x / y) * T(x / y,y) != z | (y \ x) * (x / y) = z. (x * x) * ((y * x) \ 1) = (y * (x \ 1)) \ 1. x * y != z * (((z * u) * z) \ 1) | x \ (u \ (z \ 1)) = y. x \ (y \ ((x \ 1) \ 1)) = (((x \ 1) * y) * x) \ 1. (((x \ 1) * y) * x) \ 1 = x \ (y \ ((x \ 1) \ 1)). (1 / x) * ((y * x) * (y * x)) != z | (y / (1 / x)) * y = z. (x * (x * (x * (x * y)))) / y = x * (x * (x * x)). (x * y) * (y * (y \ x)) = (y * y) * (y * ((y \ x) * (y \ x))). (x * x) * (x * ((x \ y) * (x \ y))) = (y * x) * (x * (x \ y)). (x * ((y * z) * z)) / u != w | (x * ((z * z) * y)) / u = w. (x * ((y * y) * z)) / z = z * (y * (y * (z \ x))). T(x \ y,x \ 1) != z | x \ T(y,x) = z. x \ T(x \ (1 / y),x) = (x \ 1) / (x * y). x \ ((1 / y) / x) = (x \ 1) / (x * y). (x \ 1) / (x * y) = x \ ((1 / y) / x). (x * y) \ (x * ((1 / y) \ y)) = x \ (x / (1 / y)). K((x \ y) \ z,y) = K((y / x) \ z,y). K((x / y) \ z,x) = K((y \ x) \ z,x). (x * K((y \ z) \ u,z)) \ x = K(z,(z / y) \ u). (x * x) \ ((y * x) \ 1) = x \ ((y \ (x \ 1)) / x). x * y != z / ((L(z,u,w) \ 1) * z) | ((L(z,u,w) \ 1) \ 1) / y = x. ((L(x,y,z) \ 1) \ 1) / x = 1 / T((L(x,y,z) \ 1) * x,x). 1 / T((L(x,y,z) \ 1) * x,x) = ((L(x,y,z) \ 1) \ 1) / x. x * (x * ((x \ y) * (x \ y))) = (y * x) * (y / x). x != y * (z / y) | T(y * ((1 / y) * z),y) = x. T(x * ((1 / x) * (y \ 1)),x) = T((1 / (1 / x)) * y,x) \ x. (1 / x) \ ((x / y) \ 1) = x * (1 / (x * (y \ 1))). (x * (y * y)) * K(y,z) != u | (x / (y \ 1)) * T(y,z) = u. (x / (y \ 1)) * T(y,z) = y * (y * (x * K(y,z))). 1 / T(x * (1 / L(x,y,z)),L(x,y,z) \ 1) = (1 / x) / (L(x,y,z) \ 1). x != (y \ 1) * z | y * ((y * y) \ z) = x. x * ((x * x) \ (y / x)) = T((1 / x) * ((1 / x) * y),x). T((1 / x) * ((1 / x) * y),x) = x * ((x * x) \ (y / x)). (x \ 1) * (x \ y) != z | ((x \ 1) * (x \ 1)) * y = z. ((x \ 1) * (x \ 1)) * ((1 / x) * y) = (x \ (y / x)) / x. (x \ 1) * (x \ y) != z | (x \ (1 / x)) * y = z. (x \ (1 / x)) * ((1 / x) * y) = (x \ (y / x)) / x. T(x,y * (z * (u / z))) = T(x,y * ((u \ z) \ z)). T(x,y * ((z \ u) \ u)) = T(x,y * (u * (z / u))). (((x \ 1) \ 1) \ y) * x = T(y,x \ 1). T(x,y \ 1) * K(y,z) = (((y \ 1) \ 1) \ x) * T(y,z). (((x \ 1) \ 1) \ y) * T(x,z) = T(y,x \ 1) * K(x,z). x * y != ((z \ u) \ u) * ((u / z) * w) | x \ (z * ((z \ u) * w)) = y. (x / y) \ (y * ((y \ x) * ((y \ x) \ x))) = ((y \ x) \ x) * T((y \ x) \ x,x / y). (x * x) \ y != x \ (1 / (x * z)) | (x / z) * (1 / x) = y. (x / y) * (1 / x) = 1 / (x * (y / x)). 1 / (x * (y / x)) = (x / y) * (1 / x). ((x / y) * (1 / x)) \ 1 = x * (y / x). ((x * x) * ((x / y) \ 1)) \ x = x * (y \ (1 / x)). (x * (1 / y)) \ (x \ 1) = 1 / ((y \ x) * x). x != ((1 / y) * z) / y | (y \ z) * (1 / y) = x. (x \ y) * (1 / x) = T(y * (x \ (1 / x)),x \ 1). T(x * (y \ (1 / y)),y \ 1) = (y \ x) * (1 / y). (x * y) * (x * (x * y)) = x * (x * ((y * y) * x)). T(x * T(x,y \ 1),y) = (x * ((1 / y) * x)) * y. T(x * ((1 / y) * x),y \ 1) = (x * T(x,y \ 1)) / y. x \ y != T(z,(u * T(u,w)) \ 1) | x * T(z,(u * (w * u)) \ w) = y. (x * T(x,y)) * T(z,(x * (y * x)) \ y) = z / ((x * T(x,y)) \ 1). T(x,y \ (T(y,z) \ 1)) = T(x,(y * (z * y)) \ z). T(x,(y * (z * y)) \ z) = T(x,y \ (T(y,z) \ 1)). (x * (y * (1 / x))) \ 1 = x \ (y \ ((x \ 1) \ 1)). x * (x * x) = y * (x * (x * (y \ x))). x * (y * (y * (x \ y))) = y * (y * y). x * (((y \ x) * (y \ z)) / (y \ 1)) = z * (((y \ x) * (y \ x)) * y). (x * y) * (x \ (x / (1 / y))) = x * ((1 / y) \ y). (x * y) \ (x * (z \ y)) != u | L(T(z,y) \ 1,y,x) = u. L(T(1 / x,x) \ 1,x,y) = y \ (y / (1 / x)). L((x \ 1) \ 1,x,y) = y \ (y / (1 / x)). L((x \ 1) \ 1,y,z) != u | (L(x,y,z) \ 1) \ 1 = u. (L(x,x,y) \ 1) \ 1 = y \ (y / (1 / x)). x \ 1 != y \ (y / (1 / z)) | (y * z) \ y = x. (x * y) \ x = L(y,y,x) \ 1. L(x,x,y) \ 1 = (y * x) \ y. x != (y * z) \ y | y \ (y / ((z \ 1) \ 1)) = x. x \ (x / ((y \ 1) \ 1)) = L(y,y,x) \ 1. L(x,x,y) \ 1 = y \ (y / ((x \ 1) \ 1)). T(L(x,x,y) \ 1,z) = L(T(x \ 1,z),x,y). L(T(x \ 1,y),x,z) = T(L(x,x,z) \ 1,y). x \ 1 != y \ (y / (z \ 1)) | y \ (y / z) = x. x \ (x / (y \ 1)) = L(y,y,x). L(x,x,y) = y \ (y / (x \ 1)). x \ 1 != y \ (y / ((z \ 1) \ 1)) | (y \ (y / z)) \ 1 = x. (x \ (x / y)) \ 1 = L(y,y,x). L(x,x,y) = (y \ (y / x)) \ 1. x != y \ (y / ((z \ 1) \ 1)) | L(z,z,y) \ 1 = x. L(x,x,y) \ 1 = L(x \ 1,x \ 1,y). L(x \ 1,x \ 1,y) = L(x,x,y) \ 1. L(x \ 1,y,z) != u | x \ a(x,z,y) = u. x \ a(x,y,x \ 1) = y \ (y / ((x \ 1) \ 1)). 1 / L(x,x,y) = y \ (y / x). x \ (x / y) = 1 / L(y,y,x). x * (1 / L(y,y,x)) = x / y. L(x \ 1,1 / x,y) = L(x,x,y) \ 1. x != y \ (y / ((z \ 1) \ 1)) | (y * z) \ y = x. (x * y) \ x = y \ a(y,x,y \ 1). K(x,(y \ x) \ z) = K(x,(x / y) \ z). K(x,(x / y) \ z) = K(x,(y \ x) \ z). K(x,y \ z) = K(x,((y \ x) \ x) \ z). K(x,((y \ x) \ x) \ z) = K(x,y \ z). (x * x) \ y != z | (y / x) / x = z. (((x * y) \ 1) / y) / y = y \ ((x \ (y \ 1)) / y). x * ((y / x) * y) = (y * x) * (y / x). (x * y) * (x / y) = y * ((x / y) * x). (1 / x) \ ((x / y) \ 1) = x * ((1 / y) \ (1 / x)). x != y * (y * (z * K(y,u))) | z * (y * T(y,u)) = x. x * (y * T(y,z)) = (x / (y \ 1)) * T(y,z). (x / (y \ 1)) * T(y,z) = x * (y * T(y,z)). x != y * (z * T(z,z \ 1)) | T(z * (y * z),z) = x. T(x * (y * x),x) = (y / (x \ 1)) * T(x,x \ 1). (x / (y \ 1)) * T(y,y \ 1) = T(y * (x * y),y). ((x / y) \ 1) \ (1 / x) = x * (y \ (1 / x)). (x \ 1) \ (1 / y) = y * ((x \ y) \ (1 / y)). x * ((y \ x) \ (1 / x)) = (y \ 1) \ (1 / x). x \ ((y \ 1) \ (1 / x)) = (y \ x) \ (1 / x). x \ ((y \ 1) \ (1 / x)) != z | (y \ x) \ (1 / x) = z. T(x * ((y \ z) \ (1 / (y \ z))),z \ y) = ((y \ z) \ x) * (1 / (y \ z)). T(x \ (y \ (1 / y)),y \ 1) = (y \ (x \ 1)) * (1 / y). (x * y) * (T(y,x) * (T(y,x) * x)) = T(y,x) * (T(y,x) * ((x * x) * T(y,x))). T(x,y) * (T(x,y) * ((y * y) * T(x,y))) = (y * x) * (T(x,y) * (T(x,y) * y)). T(x * T(x,y \ 1),y) != z | y * ((x * (y \ 1)) * x) = z. x * ((y * (x \ 1)) * y) = (y * ((1 / x) * y)) * x. (x * ((1 / y) * x)) * y = y * ((x * (y \ 1)) * x). ((x * ((1 / y) * x)) * y) * y = y * (x * T(x,y \ 1)). x \ y != (z * (u * (1 / z))) \ 1 | x * (z * (u \ (1 / z))) = y. x * (x * (y \ (1 / x))) = y \ ((x \ 1) \ 1). x != y \ ((z \ u) \ u) | y \ T(z,z \ u) = x. x \ T(y,y \ 1) = y * (y * (x \ (1 / y))). x * (x * (y \ (1 / x))) = y \ T(x,x \ 1). x * ((y / (1 / x)) \ 1) = (x * y) \ ((x \ 1) \ 1). (x * y) \ ((x \ 1) \ 1) = x * ((y / (1 / x)) \ 1). x / y != y \ (z / y) | (y \ 1) * z = x. (x \ 1) * (y \ (x \ 1)) = ((y * x) \ 1) / x. (x \ 1) * (y \ (x \ 1)) != z | (((x \ 1) \ y) * x) \ 1 = z. (((x \ 1) \ y) * x) \ 1 = ((y * x) \ 1) / x. ((x / y) \ y) \ 1 = (((x \ 1) * y) \ 1) / y. (((x \ 1) * y) \ 1) / y = ((x / y) \ y) \ 1. L(x / y,x,x) \ 1 = (1 / y) \ (1 / x). (x \ 1) \ (y / (x \ 1)) = x * (y * x). x * (y * ((z \ 1) \ 1)) = z * ((((z \ 1) * x) * y) * z). x * ((((x \ 1) * y) * z) * x) = y * (z * ((x \ 1) \ 1)). L(x,y,1 / z) != u | L(x,y,z \ 1) = u. L(x \ T(y,z),x,z \ 1) = ((1 / z) * x) \ (y / z). L(x * (y / x),x \ y,x \ y) != z | x * (1 / (x / y)) = z. (x * K(y,z)) \ (x * T(y,u)) = K(z,y) * T(y,u). x / (K(y,z) * T(z,u)) = (x / T(z,u)) * K(z,y). x / R(y,z,y) = (x / T(y,z)) * K(y,y * z). (x / T(y,z)) * K(y,y * z) = x / R(y,z,y). x / L(y,z,y) = (x / T(y,y * z)) * K(y,z). (x / T(y,y * z)) * K(y,z) = x / L(y,z,y). (x / R(y,z,y)) * y = (x / T(y,z)) * T(y,y * z). (x / T(y,z)) * T(y,y * z) = (x / R(y,z,y)) * y. K(x * y,x) * K(x,y) = x / L(x,y,x). (x * K(y * z,y)) * K(y,z) = (x * y) / L(y,z,y). K(x * y,x) * K(x,y) != z | x \ R(x,y,x) = z. x \ R(x,y,x) = x / L(x,y,x). x / L(x,y,x) = x \ R(x,y,x). (x \ R(x,y,x)) \ x = L(x,y,x). x \ R(x,y,x) != z | L(x,y,x) \ x = z. T(x,(y * (z * (u \ 1))) \ (y * z)) = T(x,(u \ a(u,y,z)) \ 1). T(x,(y \ a(y,z,u)) \ 1) = T(x,(z * (u * (y \ 1))) \ (z * u)). (x * T(y,z)) / (y * z) = R(x / z,T(z,y),y). R(x,y,T(z,y)) = R((x * y) / y,T(y,z),z). R((x * y) / y,T(y,z),z) = R(x,y,T(z,y)). R(x,T(y,z),z) = R(x,y,T(z,y)). R(x,y / z,z) = R(x,z \ y,T(z,z \ y)). R(x,y \ z,T(y,y \ z)) = R(x,z / y,y). x != R(y,z / u,u) | ((y * (z / u)) * u) / z = x. ((x * (y / z)) * z) / y = R(x,z \ y,T(z,z \ y)). R(x,y \ z,T(y,y \ z)) = ((x * (z / y)) * y) / z. x != y | (y * z) / z = x. (R(x,y / z,z) * u) / u = R(x,z \ y,T(z,z \ y)). R(x,y \ z,T(y,y \ z)) = (R(x,z / y,y) * u) / u. L(K(x,y),z,z) * (x / z) = T(x,y) / z. L(x \ (y / z),x,z \ 1) = ((1 / z) * x) \ ((z \ y) / z). (x / T(y,z)) * T(y,u) != w | (x * K(z,y)) * K(y,u) = w. (x * K(y,z)) * K(z,z * y) = (x / R(z,y,z)) * z. R(x,K(y,z),L(z,u,w)) = x. ((x * L(x,y,z)) * u) / x = L(x,y,z) * T(u,x). L(x \ ((y * (z * z)) / x),((x \ 1) * z) * z,((x \ 1) * z) * z) = (x \ y) / (1 / (((x \ 1) * z) * z)). x \ y != (x \ 1) * T(z * x,x) | ((x \ 1) \ 1) * z = y. ((x \ 1) \ 1) * y = (1 / x) * ((x * x) * y). (1 / x) * ((x * x) * y) = ((x \ 1) \ 1) * y. x != ((y \ 1) / z) * (y \ 1) | y \ (1 / (y * z)) = x. x \ (1 / (x * y)) = (x \ (1 / x)) / T(y,x \ 1). (x \ (1 / x)) / T(y,x \ 1) = x \ (1 / (x * y)). (T(x,y) \ (1 / T(x,y))) / T(y,T(x,y) \ 1) = T(x \ (y \ 1),y) * (T(x,y) \ 1). (1 / x) * ((1 / y) / x) = (1 / x) / ((x \ 1) \ y). (1 / x) / ((x \ 1) \ y) = (1 / x) * ((1 / y) / x). (x \ (1 / y)) / x = (1 / x) / ((x \ 1) \ y). (1 / x) / ((x \ 1) \ y) = (x \ (1 / y)) / x. T(((x * x) * ((1 / x) * y)) * ((1 / x) * y),x * x) = x * ((y * (((1 / x) * y) * x)) / x). (x * x) * (((x * x) \ y) * z) = x * (((x \ y) * (z * x)) / x). x * K(x,y \ (y \ z)) = T(x,((y * y) / z) \ 1). T(x,((y * y) / z) \ 1) = x * K(x,y \ (y \ z)). x / y != (((x \ 1) \ z) \ 1) \ x | x \ (1 / z) = y. x \ (1 / y) = 1 / (y * T(x,x \ 1)). 1 / (x * T(y,y \ 1)) = y \ (1 / x). (x * (y / (1 / x))) \ 1 = x \ (y \ (1 / x)). (x \ 1) * ((x / (y \ 1)) \ 1) = x \ (y \ (1 / x)). (x \ 1) * y != x \ z | L(z,x,x) = y. L(x \ (1 / y),y,y) = (y / (x \ 1)) \ 1. x * y != L(z \ (1 / u),u,u) | ((u / (z \ 1)) \ 1) / y = x. ((x / (y \ 1)) \ 1) / x = (y \ (1 / x)) * (1 / x). x \ (y * ((1 / x) \ y)) = ((1 / x) * (y * x)) * y. x * (((1 / x) * (y * x)) * y) = y * ((1 / x) \ y). x * (T(y,x \ 1) * y) = y * ((1 / x) \ y). x * (y * T(y,x \ 1)) = y * ((1 / x) \ y). x / (K(y,T(x,z)) * K(x,z)) = T(x * K(z,x),y). T(x * K(y,x),z) \ x = K(z,T(x,y)) * K(x,y). T((x * y) / x,z) \ y = K(z,T(y,x)) * K(y,x). (x * x) * (K(y,x \ 1) * z) = x * (T(1 / x,y) \ z). T(x,x * y) * (K(y,x) * z) != u | L(x,y,x) * z = u. L(x,y,x) * (x \ z) = K(x,x * y) * (K(y,x) * z). K(x,x * y) * (K(y,x) * z) = L(x,y,x) * (x \ z). (x * y) * (x \ (x / (1 / y))) != z | x * ((1 / y) \ y) = z. x * ((1 / y) \ y) = (x / (x * y)) \ (x * y). (x / (x * y)) \ (x * y) = x * ((1 / y) \ y). (x * (y * (z * T(z \ (y \ (x \ u)),w)))) \ u = K(w,(x * (y * z)) \ u). (x / y) * (((y \ x) \ x) * z) = (y \ x) * (y * z). x != T(L(y * K(z,y),u,w),z) | L(y,u,w) = x. L(x,y,z) = (z * T(y,L(x * K(y,x),y,z))) \ (z * (y * (x * K(y,x)))). (x * T(y,L(z * K(y,z),y,x))) \ (x * (y * (z * K(y,z)))) = L(z,y,x). L((1 / x) \ x,y,y) = L(x \ (1 / x),y,y) \ 1. L(x \ (1 / x),y,y) \ 1 = L((1 / x) \ x,y,y). (x \ (1 / x)) \ 1 = L((1 / x) \ x,y,y). L((1 / x) \ x,y,y) = (x \ (1 / x)) \ 1. x != (y \ (1 / z)) \ 1 | z * ((y \ 1) \ 1) = x. x * ((x \ 1) \ 1) = L((1 / x) \ x,y,y). L((1 / x) \ x,y,y) = x * ((x \ 1) \ 1). x != y * ((y \ z) \ 1) | (z / y) \ y = x. (1 / x) \ x = L((1 / x) \ x,y,y). L((1 / x) \ x,y,y) = (1 / x) \ x. x \ y != L((1 / z) \ z,u,u) | x * ((1 / z) \ z) = y. (x \ 1) * ((1 / y) \ y) = x \ ((1 / y) \ y). ((x * y) * x) / (y * x) = (y * x) \ (x * (x * y)). R(x,y,x) = (y * x) \ (x * (x * y)). (x * y) \ (y * (y * x)) = R(y,x,y). (x * y) \ (x * (y * y)) = R(y,x,y). L(x,x,y) = R(x,y,x). R(x,y,x) = L(x,x,y). R(x,y,x) != z | L(x,x,y) = z. x \ T(y * K(x,z),x) = y * (K(x,z) * (x \ 1)). (x * K(y,z)) * (y \ 1) = x * (K(y,z) * (y \ 1)). (x * K(y,z)) * (y \ 1) = x * (T(y,z) \ 1). (T(x,y) * K(y,z)) * (y \ 1) != u | (y \ x) * K(y,z) = u. (x \ y) * K(x,z) = T(y,x) * (T(x,z) \ 1). T(x,y) * (T(y,z) \ 1) = (y \ x) * K(y,z). x != y * ((z * z) * u) | y * ((u * z) * z) = x. T(x,y) * ((y * z) * z) = y * ((z * (z * (x / y))) * y). x * ((y * (y * (z / x))) * x) = T(z,x) * ((x * y) * y). x \ (((y \ (x / z)) * y) * z) = K((x \ (y / (z \ 1))) \ 1,y). K((x \ (y / (z \ 1))) \ 1,y) = x \ (((y \ (x / z)) * y) * z). x * (1 / ((y \ x) * x)) = x \ (x \ (x / (y \ 1))). x \ (x \ (x / (y \ 1))) = x * (1 / ((y \ x) * x)). L(x,y \ z,y \ z) != u | L(x,z \ y,z \ y) = u. L(x,y \ x,y \ x) = y * ((x \ y) \ 1). T(x,y \ ((z * z) * u)) = T(x,y \ ((u * z) * z)). T(x,y \ ((z * u) * u)) = T(x,y \ ((u * u) * z)). (K(x,y) * z) / (x \ 1) != u | T(T(x,y) * z,x) = u. T(T(x,y) * T(z,x),x) = x \ ((x * T(x,y)) * z). T(K(x,y) * (z * x),x) = x \ ((x * T(x,y)) * z). ((x / (y \ 1)) \ 1) / x = (y \ (x \ 1)) * (x \ 1). ((x / (y \ 1)) \ 1) / x != z | (y \ (1 / x)) * (1 / x) = z. (x \ (1 / y)) * (1 / y) = (x \ (y \ 1)) * (y \ 1). ((x / y) \ (1 / y)) * (1 / y) != z | T(x,y) \ (1 / y) = z. T(x,y) \ (1 / y) = ((x / y) \ (y \ 1)) * (y \ 1). ((x / y) \ (y \ 1)) * (y \ 1) = T(x,y) \ (1 / y). (x \ ((x \ y) \ 1)) * (x \ 1) = T(y,x) \ (1 / x). x \ (((x \ y) \ 1) / x) = T(y,x) \ (1 / x). x * (y * (x \ (1 / x))) = (x * y) * (x \ (1 / x)). (x * y) * (x \ (1 / x)) = x * (y * (x \ (1 / x))). x * y != z * (u * (z \ (1 / z))) | x \ ((z * u) * (z \ (1 / z))) = y. x \ ((x * y) * (x \ (1 / x))) = y * (x \ (1 / x)). ((x \ 1) \ 1) \ y = (x * y) * (x \ (1 / x)). (x * y) * (x \ (1 / x)) = ((x \ 1) \ 1) \ y. x \ ((x * y) * ((x \ 1) * (x \ 1))) = y * (x \ (1 / x)). x * (y \ (1 / y)) = ((y \ 1) \ 1) \ (y \ x). ((x \ 1) \ 1) \ (x \ y) = y * (x \ (1 / x)). x != (y / z) * (z \ (1 / z)) | (z \ (z \ y)) / z = x. (x \ (x \ y)) / x = ((x \ 1) \ 1) \ (x \ (y / x)). ((x \ 1) \ 1) \ (x \ (y / x)) = (x \ (x \ y)) / x. T(x,y * (z \ (1 / z))) = T(x,z \ (z \ y)). (x * (y \ (1 / y))) * (1 / y) = y \ ((y \ x) / y). T(x,(y \ (z / y)) / y) = T(x,y \ (y \ (y \ z))). T(x \ 1,x \ y) \ z = K(y,x) * ((x \ 1) \ z). T(x \ 1,x \ y) \ z != u | (T(x,y) \ 1) \ z = u. (T(x,y) \ 1) \ z = K(y,x) * ((x \ 1) \ z). K(x,y) * ((y \ 1) \ z) = (T(y,x) \ 1) \ z. K(x,y) * ((x \ 1) \ z) = (T(x,y) \ 1) \ z. K(x,y) * ((x * z) * x) = (T(x,y) \ 1) \ (z * x). (T(x,y) \ 1) \ (z * x) = K(x,y) * ((x * z) * x). x != K(y,z) * ((y * u) * y) | (T(y,z) * u) * y = x. (T(x,y) * z) * x = (T(x,y) \ 1) \ (z * x). (T(x,y) \ 1) \ (z * x) = (T(x,y) * z) * x. (T(x,y) \ 1) \ z = (T(x,y) * (z / x)) * x. (T(x,y) * (z / x)) * x = (T(x,y) \ 1) \ z. (x \ 1) * (x \ (K(y,x \ 1) * z)) = T(x \ 1,y) * (x \ z). x * K(y,z) = T(y,x) \ (x * T(y,z)). T(x,y) \ (y * T(x,z)) = y * K(x,z). (x * T(y,z)) / (x * K(y,z)) = T(y,x). T(x,y) \ (y * T(x,z)) != u | K(T(x,y),z) * y = u. K(T(x,y),z) * y = y * K(x,z). x * y != T(z,x) \ (x * T(z,u)) | T(K(T(z,x),u),x) = y. T(K(T(x,y),z),y) = K(x,z). T(K(x,y),z) = K(T(x,z),y). K(T(x,y),z) = T(K(x,z),y). K(x,y) * z = z * K(T(x,z),y). x * K(T(y,x),z) = K(y,z) * x. x != T(y,z) | z \ (y * z) = x. x \ (K(y,z) * x) = K(T(y,x),z). T(T(x,y),z) = T(K(x,z),y) * T(x,y). T(K(x,y),z) * T(x,z) = T(T(x,z),y). T(K(T(x,y),z),y) != u | K(x,z) = u. (K(x,y) * z) * K(T(y,z),x) = z. (K(x,y) * z) * K(y,T(x,z)) = z. (K(x,y) * z) \ z = K(y,T(x,z)). (K(x,y) * z) \ z != u | K(y,T(x,z)) = u. x * K(y,T(z,x)) = K(y,z) * x. T(K(x,y),z) = K(x,T(y,z)). K(x,T(y,z)) = T(K(x,y),z). (K(x,y) * z) * u != z | K(T(y,z),x) = u. K(T(x,y),z) = K(x,T(z,y)). x != T(K(y,z),u) | K(u,K(z,y)) * K(y,z) = x. K(x,K(y,z)) * K(z,y) = K(z,T(y,x)). x != T(K(y,z),u) | K(T(y,y \ u),z) = x. K(T(x,x \ y),z) = K(x,T(z,y)). x != T(K(y,z),u) | K((y \ u) \ u,z) = x. K((x \ y) \ y,z) = K(x,T(z,y)). x != T(K(T(y,z),u),z) | K(y,u) = x. K(x,y) = K(T(x,z),T(y,z)). K(T(x,y),T(z,y)) = K(x,z). x != T(y,z) | y * K(z,y) = x. K(x,y) * K(z,K(x,y)) = K(x,T(y,z)). K(x,T(y,z)) != u | K(x,T(y,y \ z)) = u. K(x,T(y,y \ z)) = T(K(x,y),z). K(x,T(y \ 1,z)) != u | K(x,T(y,z) \ 1) = u. K(x,T(y,z) \ 1) = T(K(x,y \ 1),z). K(x,T(y / z,y)) != u | K(x,z \ y) = u. K(x,y \ z) = T(K(x,z / y),z). T(K(x,y / z),y) = K(x,z \ y). T(K(x,T(y,z)),z) = K(x,y). x \ y != K(z,T(u,w)) | x * T(K(z,u),w) = y. x * T(K(x,y),z) = T(x,T(y,z)). K(x,T(T(y,z),u)) = T(K(x,T(y,u)),z). K(x,y / z) = T(K(x,z \ y),z). T(K(x,y \ z),y) = K(x,z / y). K(x,T(y,z)) * z = z * K(x,y). K(K(x,y),z) * (K(x,y) * u) = K(x,T(y,z)) * u. K(x,y) * K(y,T(x,z)) = K(z,K(x,y)). (x * (y * K(z,u))) / (x * y) = L(K(z,T(u,x * y)),y,x). K(x,T(y,z)) = K(y,T(x,z)). x != K(y,T(z \ 1,u)) | K(y,u \ (z \ u)) = x. K(x,y \ (z \ y)) = K(T(x,y),z \ 1). K(T(x,y),z \ 1) = K(x,y \ (z \ y)). x != K(y,T(z / u,z)) | K(y,u \ z) = x. K(x,y \ z) = K(T(x,z),z / y). K(T(x,y),y / z) = K(x,z \ y). x \ y != K(z,T(u,w)) | x * K(T(z,w),u) = y. x * K(T(x,y),z) = T(x,T(z,y)). K(T(x,y),z) != u | T(x,y) \ T(T(x,z),y) = u. T(x,y) \ T(T(x,z),y) = K(x,T(z,y)). x \ y != K(T(z,u),w) | x * K(z,T(w,u)) = y. T(x,y) * K(x,T(z,y)) = T(T(x,y),z). K(T(x,y),T(z,u)) = K(x,T(T(z,y),u)). K(T(x,y),L(z,u,w)) = K(x,L(T(z,y),u,w)). K(x,y) = K(x,T(y,L(x,z,u))). K(x,T(y,L(x,z,u))) = K(x,y). K(T(x,y),z / y) = K(x,y \ z). K(x,T(y,z)) != u | K(y,T(x,z)) = u. K(L((x \ y) \ y,z,u),w) = K(L(x,z,u),T(w,x \ y)). K(T(x,y),z) = K(R(x,y,R(x,u,w)),T(z,y * R(x,u,w))). K(R(x,y,R(x,z,u)),T(w,y * R(x,z,u))) = K(T(x,y),w). K(T(x,y),K(y,z)) = K(x,K(y,z)). K(T(x,y),z) = K(x,T(z,T(y,x))). K(x,T(y,T(z,x))) = K(T(x,z),y). T(x,T(y,z)) = K(y,T(x,z)) * x. K(x,T(y,z)) * y = T(y,T(x,z)). K((x * y) / x,z) = K(y,T(z,x)). K(x / y,z) = K(y \ x,T(z,y)). K(x \ y,T(z,x)) = K(y / x,z). K(x,T(y,z)) * T(x,z) = T(T(x,y),z). (x * K(y,T(z,u))) \ (x * z) = T(z,T(y,u)). x / K(y,T(z,u)) != w | x * K(z,T(y,u)) = w. K(T(x,y),z) != u | K(x,T(z,y)) = u. K(x,T(T(y,z),z)) = K(x,y). x \ y != K(T(z,u),T(w,u)) | x * K(z,w) = y. T(x,y) * K(x,z) = T(T(x,y),T(z,y)). T(T(x,y),T(z,y)) = T(x,y) * K(x,z). K(L(T(x,y),z,u),T(w,y)) = K(L(x,z,u),w). K(T(x,y),L(T(z,y),u,w)) = K(x,L(z,u,w)). K(T(x,y),R(T(z,y),u,w)) = K(x,R(z,u,w)). a(x,T(y,z),K(u,y)) = 1. R(x,T(y,z),K(u,y)) = x. R(x,K(y,z),L(T(z,u),w,v5)) = x. L(K(x,y),T(y,z),u) = K(x,y). R(x,T(y,z),K(u,y)) != w | x = w. T(K(x,y),z) != u | K(x,T(y,z)) = u. x != K(y,T(z,z \ u)) | K(y,T(z,u)) = x. K(x,T(y,z)) = K(y,T(x,y \ z)). K(x,T(y,x \ z)) = K(y,T(x,z)). K(x,T(y,z)) != u | K(T(x,z),y) = u. x \ y != K(z,T(T(u,w),w)) | x * K(z,u) = y. x * K(x,y) = T(x,T(T(y,z),z)). T(x,T(T(y,z),z)) = x * K(x,y). K(x,T(L(T(y,z),u,w),z)) = K(x,L(y,u,w)). K(x,T(y \ z,y)) = K(x,z / y). K(x,R(T(T(y,z),z),u,w)) = K(x,R(y,u,w)). K(x,T((y / z) \ 1,z)) = K(x,y \ z). T(x,L(y,z,u)) * K(y,x) = T(x * K(y,x),L(y,z,u)). T(x * K(y,x),L(y,z,u)) = T(x,L(y,z,u)) * K(y,x). L(K(x,y / z),z \ y,u) = K(x,y / z). x != K(y,z) * (z \ u) | T(z,y) \ u = x. T(x,y) \ z = (x \ z) * K(y,T(x,x \ z)). (x \ y) * K(z,T(x,x \ y)) = T(x,z) \ y. x \ y != K(z,u) * w | x * (w * K(z,T(u,w))) = y. K(x,y) * (z * K(y,T(x,z))) = z. K(x,y) * K(z,T(x,u)) = K(z,T(x,u)) * K(x,y). K(x,T(y,z)) * K(y,u) = K(y,u) * K(x,T(y,z)). K(x \ y,z) * K(u,y / x) = K(u,y / x) * K(x \ y,z). x * K(y,z / x) = K(y,x \ z) * x. K(x,y \ z) * y = y * K(x,z / y). K(x,T(y,x \ z)) = K(x,T(y,z)). K(x,T(y,z)) = T(K(x,y),y * z). T(K(x,y),y * z) = K(x,T(y,z)). K(x,R(x,y,z) / u) = K(x,u \ R(x,y,z)). T(x,y) * K(K(x,y),z) = T(x,T(y,z)). K(T(x,y),z) * (y * K(z,x)) = y. x \ y != K(z,T(u,w)) * w | x * (w * K(z,u)) = y. x * (y * K(x,z)) = T(x,T(z,y)) * y. T(x,T(y,z)) * z = x * (z * K(x,y)). K(x,L(T(y,z),u,w)) * z = z * K(x,L(y,u,w)). (x * y) \ ((x * K(z,u)) * y) = R(T(K(z,T(u,x)),x * y),x,y). R(T(K(x,T(y,z)),z * u),z,u) = (z * u) \ ((z * K(x,y)) * u). K(x,L(L(x,y,z),u,w) / v5) = K(x,v5 \ L(L(x,y,z),u,w)). x * T(K(x,y),x * z) = T(x,T(y,z)). (x / (y / z)) * K(u,z \ y) = x / T(y / z,T(u,z)). x \ y != K(T(z,u),K(u,w)) | x * K(z,K(u,w)) = y. T(x,y) * K(x,K(y,z)) = T(T(x,y),K(y,z)). K(x,T(T(y,z),u)) * T(y,u) = T(T(y,u),T(x,z)). K(L((x \ y) / z,z,x),u) = K((x * z) \ y,T(u,z)). K(L(x,y,z) \ u,x) = K(u / L(x,y,z),x). K(x / L(y,z,u),y) = K(L(y,z,u) \ x,y). x \ (((y \ x) * y) * L(T(y,z),u,w)) = K(y \ x,y) * L(T(y,z),u,w). R(x,y,1 / z) != u | R(x,y,z \ 1) = u. x != y * K(y,z) | T(y,z) = x. T(x,y) = T(x,T(T(y,z),z)). T(x,T(T(y,z),z)) = T(x,y). T(x,T(y,z)) = T(x,y * K(z,y)). T(x,y * K(z,y)) = T(x,T(y,z)). K(x,T(y,z)) = K(x,T(y,x * z)). K(x,T(y,x * z)) = K(x,T(y,z)). K(x,y) * K(y,T(x,z)) = K(x * z,K(x,y)). K(x,T(y \ z,y)) != u | K(x,z / y) = u. K(x,y / (x * z)) = K(x,T((x * z) \ y,z)). K(x,T((x * y) \ z,y)) = K(x,z / (x * y)). K(T(x,y),T(z,y)) != u | K(x,z) = u. K(x,T(y,x \ z)) != u | K(x,T(y,z)) = u. K(x,T(y,y \ z)) != u | K(x,T(y,z)) = u. K(x,y / z) != u | K(x,T(z \ y,z)) = u. K(L(T(x,y),z,u),T(w,y)) != v5 | K(L(x,z,u),w) = v5. K(T(x,y),L(T(z,y),u,w)) != v5 | K(x,L(z,u,w)) = v5. K(T(x,y),R(T(z,y),u,w)) != v5 | K(x,R(z,u,w)) = v5. K(x,T(y,x)) != z | K(x,y) = z. K(x,T(y,L(x,z,u))) != w | K(x,y) = w. K(T(x,y),y \ z) != u | K(x,z / y) = u. K(x,x \ (y * x)) != z | K(x,y) = z. K(x,L(T(y,x),z,u)) != w | K(x,L(y,z,u)) = w. K(x,R(T(y,x),z,u)) != w | K(x,R(y,z,u)) = w. K(x,x / y) != z | K(x,y \ x) = z. T(x,y) \ T(T(x,z),y) != u | K(x,T(z,y)) = u. K(x,T(y,T(z,x))) != u | K(x,T(y,z)) = u. (x * T(y,z)) / (x * K(y,z)) != u | T(y,x * K(y,z)) = u. T(x,y * K(x,z)) = T(x,y). x * y != T(z,u * K(z,w)) | x \ T(z,u) = y. x \ T(x,y) = K(x,y * K(x,z)). K(x,y * K(x,z)) = x \ T(x,y). T(x,T(y,x \ 1)) = T(x,y). T(x,y * T(z,x)) = T(x,y * z). T(x,y * T(x,z)) = T(x,y * x). T(x,y * z) = T(x,T(y,x) * z). T(x,T(y,x) * z) = T(x,y * z). T(x,y * (z / x)) = T(x,y * (x \ z)). K(T(x,y),z) = K(x,T(z,y * K(x,u))). K(x,T(y,z * K(x,u))) = K(T(x,z),y). T(x,K(x,y) * z) = T(x,z). T(1 / x,T(y,x)) = T(1 / x,y). T(x \ 1,T(y,x)) = T(x \ 1,y). T(x,y) \ 1 = (y * x) \ T(y,x \ 1). (x * y) \ T(x,y \ 1) = T(y,x) \ 1. T(x,T(x,y) * z) = T(x,x * z). T(x,y \ z) = T(x,T(y,x) \ z). T(x,T(y,x) \ z) = T(x,y \ z). T(x,x \ y) = T(x,T(x,z) \ y). T(x,T(x,y) \ z) = T(x,x \ z). x != y \ T(y,z) | K(y,z) = x. K(x,y) = K(x,y * K(x,z)). K(x,y * K(x,z)) = K(x,y). K(x,y * K(z,x)) = K(x,y). K(x,y / K(z,x)) = K(x,y). K(x,y * z) = K(x,T(y,x) * z). K(x,T(y,x) * z) = K(x,y * z). K(x,y * (z / x)) = K(x,y * (x \ z)). K(x,y) = K(x,K(z,x) * y). K(x,K(y,x) * z) = K(x,z). K(x,K(x,y) * z) = K(x,z). K(x,y \ T(z,x)) = K(x,y \ z). 1 / K(x,y) = K(y * K(z,x),x). K(x * K(y,z),z) = 1 / K(z,x). K(x,y / (z / x)) = K(x,y / (x \ z)). K(x,(y \ z) / z) != u | K(x,y \ 1) = u. K(x,y \ 1) = K(x,y \ K(z,x)). K(x,y \ K(z,x)) = K(x,y \ 1). K(x,K(x,y) \ z) = K(x,z). K(x,R(K(y,x),z,u) * w) = K(x,w). x / K(y,x) = K(y,z) * T(K(y,z) \ x,y). L(x,y,y) = T(x,y * T(y,x)). T(x,y * T(y,x)) = L(x,y,y). T(x,((y / x) * y) * x) = L(x,y,y). x != T(y,z * y) | T(y,y * z) = x. T(x,x * y) = T(x,y * T(x,z)). T(x,y * T(x,z)) = T(x,x * y). T(x,x * ((y * z) * x)) = T(x,(y * x) * (z * x)). T(x,(y * x) * (z * x)) = T(x,x * ((y * z) * x)). (x \ 1) * K(y,x \ 1) = T(x \ 1,T(y,x)). T(x,T(x,y) * z) != u | L(T(x,z),z,T(x,y)) = u. L(T(x,y),y,T(x,z)) = T(x,x * y). (T(x,y) * z) / T(x,x * z) = (1 / x) * (T(x,y) * z). (x \ y) \ y = T(x,T(x,z) \ y). T(x,T(x,y) \ z) = (x \ z) \ z. K(x,y \ (x \ (z * x))) = K(x,y \ z). x != 1 / K(y,z) | K(z,y) = x. K(x,y) = K(x * K(z,y),y). K(x * K(y,z),z) = K(x,z). K(x * K(y,z),y) = K(x,y). K(x \ T(y,z),z) = K(x \ y,z). K(K(x,y) * z,y) = K(z,y). R(x * K(y,x),z,u) \ R(x,z,u) = K(R(x,z,u),y * K(x,w)). K(R(x,y,z),u * K(x,w)) = R(x * K(u,x),y,z) \ R(x,y,z). K((x / y) \ z,y) = K((y \ x) \ z,y). R(T(x,x * y),y,T(x,z)) = T(x,y). T(T(x,y),x \ z) = (T(x,y) \ z) \ z. K(x \ (y \ (z * y)),y) = K(x \ z,y). 1 / L(x,y,y) = T(1 / x,(y / x) * y). T(1 / x,(y / x) * y) = 1 / L(x,y,y). K(x,T(y,z)) != u | T(K(x,y),z) = u. K(x,T(y \ z,u) \ 1) = T(K(x,z \ y),u). K(x,y \ 1) = K(x,R(x,z,u) \ (y \ R(x,z,u))). K(x,R(x,y,z) \ (u \ R(x,y,z))) = K(x,u \ 1). K(x,y \ (z \ y)) != u | K(x,T(z \ 1,y)) = u. K(x,y) * T(x,T(z,y)) = T(T(x,y),z). T(T(x,y),z) * K(z,x) = T(x,T(y,z)). T(x,y) * K(z,K(x,y)) = T(x,T(y,z)). x * T(K(x,y),z) != u | T(x,T(y,z)) = u. T(x,T(y,x * z)) = T(x,T(y,z)). T(x,T(y,z)) = T(x,T(y,x \ z)). T(x,T(y,x \ z)) = T(x,T(y,z)). T(x * y,T(z,y \ 1)) = T(x * y,T(z,x)). L(x,y,z) \ L(T(x,T(u,w)),y,z) = K(L(x,y,z),T(u,x \ w)). x != K(T(y,z),u) | K(y,T(u,z)) = x. K(x,T(y,z)) = K(x,T(y,z * K(x,u))). K(x,T(y,z * K(x,u))) = K(x,T(y,z)). (x * (y \ z)) \ T(x,z \ y) = T(y \ z,x) \ 1. T((x \ y) \ y,z) = (T(x,z) \ y) \ y. K(x,y) * T(T(x,y),z) = T(x,T(z,y)). x \ y != K(z,u) * T(z,T(w,u)) | x * T(T(z,u),w) = y. T(x,y) * T(T(x,y),z) = x * T(x,T(z,y)). K(x,y) * T(T(x,y),z) != u | T(x,T(z,y)) = u. x \ y != T(T(z,u),w) * K(w,z) | x * T(z,T(u,w)) = y. x * T(y,T(z,x)) = T(y,z) * T(x,y). T(x,y) * T(z,x) = z * T(x,T(y,z)). K(x,T(y,z * (u / x))) = K(x,T(y,z * (x \ u))). T(x / y,z) = (T(y \ x,z) \ x) \ x. (T(x \ y,z) \ y) \ y = T(y / x,z). T(1 / T(x,y),z) = (T(x \ 1,z) \ y) \ y. (T(x \ 1,y) \ z) \ z = T(1 / T(x,z),y). K(x,y) * (z * x) = z * T(x,T(y,z)). x / T(x / y,z) = T(y \ x,z) \ x. (T(a(x \ 1,y,z),u) \ L(x,z,y)) \ L(x,z,y) = T(L(x,z,y) / x,u). x \ (x / T(1 / y,z)) = (x * T(y \ 1,z)) \ x. (x * T(y \ 1,z)) \ x = x \ (x / T(1 / y,z)). ((T(x \ 1,y) \ 1) * (T(x \ 1,y) \ 1)) * ((T(x \ 1,y) \ 1) * (z / (T(x \ 1,y) \ 1))) = (T(1 / x,y) \ z) * (T(x \ 1,y) \ 1). T(1 / x,y) * (z \ ((T(x \ 1,y) \ 1) \ 1)) = ((z * (T(x \ 1,y) \ 1)) \ 1) / (T(x \ 1,y) \ 1). ((x * (T(y \ 1,z) \ 1)) \ 1) / (T(y \ 1,z) \ 1) = T(1 / y,z) * (x \ ((T(y \ 1,z) \ 1) \ 1)). K(x,y) * (L(y,z,u) * x) = L(y,z,u) * T(x,y). K(x,K(y,z)) * (K(y,u) * x) = K(y,u) * T(x,K(y,z)). 1 / T(1 / x,x \ y) != z | (x * (y * (1 / x))) / (x \ y) = z. (x * (y * (1 / x))) / (x \ y) = T(x \ 1,x \ y) \ 1. x * (1 / L(x,y,y)) = K(x,(x \ y) * (x \ y)). K(x,(x \ y) * (x \ y)) = x * (1 / L(x,y,y)). K(T(x,y),L(z,u,w)) != v5 | K(x,L(T(z,y),u,w)) = v5. K(x,L(T(T(y,z),z),u,w)) = K(x,L(y,u,w)). K(x,R(T(y,z),u,w)) = K(x,R((z * y) / z,u,w)). K(x,R((y * z) / y,u,w)) = K(x,R(T(z,y),u,w)). K(x,y) * K(y,T(x,z)) != u | K(z,K(x,y)) = u. K(x,K(y,z)) = K(y * x,K(y,z)). K(x * y,K(x,z)) = K(y,K(x,z)). x != K(y,K(z,u)) | K(K(u,z),y) = x. K(K(x,y),z) = K(y * z,K(y,x)). K(x * y,K(x,z)) = K(K(z,x),y). K(x * y,K(x,z)) != u | K(y,K(x,z)) = u. K(x,T((T(x,y) * y) \ z,(x * y) / x)) = K(x,z / (x * ((x * y) / x))). T(x,y) = K(y,z) * T(K(y,z) \ x,y). K(x,y) * T(K(x,y) \ z,x) = T(z,x). K(x,y) * T(z,x) = T(K(x,y) * z,x). T(K(x,y) * z,x) = K(x,y) * T(z,x). (x * T(x \ y,z)) / y = K(y / (x * K(z,u)),z). K(x / (y * K(z,u)),z) = (y * T(y \ x,z)) / x. x \ (y * T(y \ x,z)) = K((y * K(z,u)) \ x,z). K((x * K(y,z)) \ u,y) = u \ (x * T(x \ u,y)). (x * T(x \ y,z)) \ y = K(z,(x * K(z,u)) \ y). K(x,(y * K(x,z)) \ u) = (y * T(y \ u,x)) \ u. (T(x,y) * z) / x = K(x,y) * T(z,x). x != K(y \ z,y) * T(u,y \ z) | (z / y) \ (u * (y \ z)) = x. (x / y) \ (z * (y \ x)) = T(K(y \ x,y) * z,y \ x). T(K(x \ y,x) * z,x \ y) = (y / x) \ (z * (x \ y)). T(K(x,y) * (z * x),x) != u | x \ ((x * T(x,y)) * z) = u. x \ ((x * T(x,y)) * z) = K(x,y) * T(z * x,x). T(K(x,y) * L(z,u,w),x) = K(x,y) * L(T(z,x),u,w). T(K(x,y) * z,y) = K(y,x) * T(z,y). T(T(x,y) \ z,x) = K(x,y) * T(x \ z,x). K(x,y) * T(x \ z,x) = T(T(x,y) \ z,x). (T(x,y) * z) / x != u | T(z,T(x,y)) * K(x,y) = u. T(x,T(y,z)) * K(y,z) = K(y,z) * T(x,y). ((x \ y) * z) / (y / x) = K(y / x,x) * T(z,y / x). K(x / y,y) * T(z,x / y) = ((y \ x) * z) / (x / y). (K(x,y) * T(z,x)) * K(x,u) = (T(x,y) * z) / T(x,u). x != K(y,z) * T(u,y) | T(y,z) \ (u * y) = x. T(x,y) \ (z * x) = T(K(y,x) * z,x). T(K(x,y) * z,y) = T(y,x) \ (z * y). T(K(x,y) * z,y) = K(x,y) * T(z,y). x != T(y,z) \ u | y \ (K(z,y) * u) = x. x \ (K(y,x) * (z * x)) = T(K(y,x) * z,x). x != T(K(y,z),u) | K(y,T(z,u)) = x. K(x,T(y \ z,u)) = K(x,T(z \ y,u) \ 1). K(x,T(y \ z,u) \ 1) = K(x,T(z \ y,u)). x / T(1 / T(y,x),z) = T(y \ 1,z) \ x. K(x,L(T(y \ z,y),u,w)) = K(x,L(z / y,u,w)). K(x,y) * (z / x) = T(T(x,y) \ z,x). T(T(x,y) \ z,x) = K(x,y) * (z / x). T(T(x,y) \ z,x) != u | T(z,K(x,y)) / T(x,y) = u. T(x,K(y,z)) / T(y,z) = K(y,z) * (x / y). x \ y != T(T(z,u) \ w,z) | x * (K(z,u) * (w / z)) = y. x * (K(x,y) * (z / x)) = (T(x,y) \ z) * x. x * K(y,z) != K(y,z) * u | T(u,K(z,y)) = x. T(T(x,y),K(z,y)) = T(x,T(y,z)). x * y != y * T(z,u) | T(T(z,y),u) = x. T(T(x,K(y,z)),y) = T(x,T(y,z)). x * y != y * z | T(z,y) = x. T(T(x,y),K(y,z)) = T(x,T(y,z)). T(T(x,T(y,z)),K(z,y)) = T(x,y). T(x,y / z) * K(z \ y,z) = K(z \ y,z) * T(x,z \ y). T(T(x,T(y,z)),K(z,y)) != u | T(x,y) = u. T(x,K(y,z)) = T(T(x,y),T(y,z)). T(T(x,y),T(y,z)) = T(x,K(y,z)). x / T(y,T(x,z)) = (1 / T(y,K(x,z))) * x. (1 / T(x,K(y,z))) * y = y / T(x,T(y,z)). T(T(x,y),T(y,z)) != u | T(x,K(y,z)) = u. T(T(x,y),K(y,z)) != u | T(x,y) * K(x,K(y,z)) = u. T(x,y) * K(x,K(y,z)) = T(x,T(y,z)). T(T(x,y),K(z,y)) != u | T(x,T(y,z)) = u. T(x,T(y,y \ z)) != u | T(x,T(y,z)) = u. T(T(x,y),T(y,z)) = T(x,K(y,y \ z)). T(T(x,y / z),z \ y) = T(x,K(y / z,z)). T(x,K(y,z)) \ T(y,z) = T(y,z) * (T(x,y) \ 1). T(x,y) * z != T(x,T(y,u)) | K(u,K(x,y)) = z. K(x,K(y,z)) = K(y,K(z,x)). K(x,K(y,z)) = K(z,K(x,y)). T(x,y) * z != T(x,T(y,u)) | K(K(x,y),u) = z. K(K(x,y),z) = K(x,K(y,z)). K(K(x,y),z) = K(x,K(z,y)). K(x,K(y,z)) = K(y,K(x,z)). x != K(y,K(z,u)) | K(y,K(u,z)) = x. K(x,K(y,z)) = K(z,K(y,x)). K(K(x,y),z) = K(y,K(x,z)). x \ y != K(z,K(u,w)) | x * K(u,K(w,z)) = y. x * K(y,K(z,x)) = T(x,K(y,z)). T(x,K(y,z)) = K(y,K(z,x)) * x. K(x,K(y,z)) * z = T(z,K(x,y)). K(x,K(y,z)) / y = 1 / T(y,K(z,x)). K(x,K(y,z)) * (z * u) = T(z,K(x,y)) * u. K(x,K(y,z)) != u | K(K(x,z),y) = u. (x * K(y,K(z,u))) / K(y,z) = x / T(K(y,z),u). K(x,K(y,z)) * K(x,z) = K(x,T(z,y)). K(x,y) * K(y,K(z,x)) = K(x,T(y,z)). K(x,y) * K(x,K(y,z)) = K(x,T(y,z)). K(K(x,y),z) != u | K(y * z,K(y,x)) = u. K(x * y,K(x,z)) = K(z,K(x,y)). K(x,K(y,z)) != u | K(z,K(x,y)) = u. K(x,K(y,z)) * z = T(z,K(y,x)). T(x * T(K(y,z),u),K(u,K(y,z))) = K(y,K(z,u)) * (x * K(y,z)). T(x,K(y,z)) = K(y,K(x,z)) * x. K(x,K(y,z)) * y = T(y,K(x,z)). (x * y) * K(z,K(y,u)) = x * T(y,K(z,u)). K(x,K(y,z)) != u | K(y,K(z,x)) = u. K(x,K(y,z)) = K(y,K(y * x,z)). K(x,K(x * y,z)) = K(y,K(x,z)). K(x,y) * K(x,K(z,y)) = K(x,T(y,z)). K(x,K(y,z)) = K(z,K(y,y * x)). K(x,K(y,y * z)) = K(z,K(y,x)). K(x,K(y,z)) * (K(y,x) * u) = T(K(y,x),z) * u. K(x,K(y,K(y,z) * u)) = K(u,K(y,x)). K(K(x,y),T(z,x) * u) = K(y,K(x,z * u)). x \ y != K(z,K(u,w)) * w | x * T(w,K(z,u)) = y. x * T(y,K(x,z)) = T(x,K(z,y)) * y. T(x,K(y,z)) * z = x * T(z,K(x,y)). K(x,K(y,z)) != u | K(z,K(y,x)) = u. K(x,K(y,y * z)) = K(x,K(y,z)). K(x,K(y,z)) = K(z,K(y,y \ x)). K(x,K(y,y \ z)) = K(z,K(y,x)). x != K(y,K(z,u)) | K(u,K(y,z)) = x. K(x,K(y,z)) = K(z,K(z * y,x)). K(x,K(x * y,z)) = K(z,K(y,x)). K(x,K(y,z \ 1)) = K(y,K(z,x)). K(x,K(y,z \ 1)) = K(x,K(z,y)). K(x,K(y,x * z)) = K(y,K(z,x)). x != K(y,K(z,u)) | K(z,K(u,y)) = x. K(x,K(y,z)) = K(y,K(z,x \ 1)). K(x,K(y,z \ 1)) = K(z,K(x,y)). K(x,K(y,z)) = K(x,K(y,z \ 1)). K(x,K(y,z \ 1)) = K(x,K(y,z)). K(x \ 1,K(y,z)) = K(y,K(x,z)). K(x,K(y,z \ u)) = K(x,K(u \ z,y)). K(x,K(y \ z,u)) = K(x,K(u,z \ y)). x != K(y,K(z,u)) | K(u,K(z,y)) = x. K(x,K(y,z)) = K(x,K(z,x * y)). K(x,K(y,x * z)) = K(x,K(z,y)). K(x,K(y,z \ u)) = K(x,K(y,u \ z)). K(x,K(y,z)) / y = T(1 / y,K(x,z)). T(1 / x,K(y,z)) = K(y,K(x,z)) / x. (x * y) * K(x,K(y,z)) = T(x * y,K(x,z)). T(x,K(y,z)) = T(x,K(y,y \ z)). T(x,K(y,y \ z)) = T(x,K(y,z)). T(x,K(y,z)) = T(x,K(y,y * z)). T(x,K(y,y * z)) = T(x,K(y,z)). T(x,K(y,z)) = T(x,K(y,z * y)). T(x,K(y,z * y)) = T(x,K(y,z)). T(x,T(y * z,y)) = T(T(x,y * z),K(y,z)). T(T(x,y * z),K(y,z)) = T(x,T(y * z,y)). T(K(x,y) * z,K(y,x)) != u | z * K(x,y) = u. x * K(y * z,y) = T(K(y * z,y) * x,K(y,z)). T(K(x * y,x) * z,K(x,y)) = z * K(x * y,x). T(x,K(y,z \ 1)) = T(x,K(z,y)). T(x,y * z) = T(T(x,T(y * z,z)),K(z,y)). T(T(x,T(y * z,z)),K(z,y)) = T(x,y * z). T(x,K(y,z / u)) = T(x,K(u / z,y)). T(x,K(y / z,u)) = T(x,K(u,z / y)). K(x,T(y,z)) * T(K(z,x),y) = K(x,y) * K(z,x). K(x,K(y,z)) * (K(y,u) * x) = T(K(y,u) * x,K(y,z)). x != K(y,K(z,z \ u)) | K(u,K(z,y)) = x. K(x,K(y,z)) = K(z,K(y,x \ y)). K(x,K(y,z \ y)) = K(z,K(y,x)). K(x,K(y,z)) = K(x,K(z,y \ z)). K(x,K(y,z \ y)) = K(x,K(z,y)). K(x,K(y,z \ y)) != u | K(x,K(z,y)) = u. x != K(y,K(z,u)) / z | 1 / T(z,K(u,y)) = x. 1 / T(x,K(y,z)) = T(1 / x,K(z,y)). x != T(y,K(z,u)) | T(y,K(u,z)) = x. T(1 / x,K(y,z)) = 1 / T(x,K(y,z)). 1 / T(x,K(y,z)) = T(1 / x,K(y,z)). T(x,x * K(y,z)) = T(x,K(z,y)). T(x,K(y,z)) = T(x,x * K(y,z)). T(x,x * K(y,z)) = T(x,K(y,z)). L(x,K(y,z),x) = x. T(x,K(y,z)) \ 1 = T(x \ 1,K(y,z)). T(x \ 1,K(y,z)) = T(x,K(y,z)) \ 1. T(x * K(y,z),x) = K(y,z) * x. x * x = T(x * x,K(y,z)). T(x * x,K(y,z)) = x * x. (1 / x) \ x = T((1 / x) \ x,K(y,z)). T((1 / x) \ x,K(y,z)) = (1 / x) \ x. K(x * x,K(y,z)) = 1. K(x,K(y,z * z)) = 1. K(K(x * x,y),z) = 1. a(x,x,K(y,z)) = 1. a(K(x,y),z,z) = 1. L(K(x,y),z,z) = K(x,y). L(x,x,K(y,z)) = x. x \ y != L(z,z,K(u,w)) | x * z = y. K(x,y) * z = K(x,y) / (z \ 1). K(x,y) / (z \ 1) = K(x,y) * z. x \ 1 = (K(y,z) * x) \ K(y,z). (K(x,y) * z) \ K(x,y) = z \ 1. K(x,y) * (1 / z) = K(x,y) / z. x \ y != K(z,K(u,w * w)) | x * 1 = y. K(x,y * y) * 1 = T(K(x,y * y),z). T(K(x,y * y),z) = K(x,y * y) * 1. K(a(x,x,y),z) = 1. T(a(x,x,y),z) = a(x,x,y). (x \ 1) \ (x \ K(y,z)) = K(y,z). 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). (x * x) * K(y,z) = x * (x * K(y,z)). x * ((x \ y) * K(z,u)) = (y * (K(z,u) * x)) / x. (x * (K(y,z) * u)) / u = u * ((u \ x) * K(y,z)). K(x,y) * (x / z) = T(x,y) / z. T(x,a(y,y,z)) = x. x \ y != T(a(z,z,u),w) | x * a(z,z,u) = y. x * a(y,y,z) = a(y,y,z) / (x \ 1). a(x,x,y) / (z \ 1) = z * a(x,x,y). x * a(y,y,z) = a(y,y,z) * x. a(x,x,y) * z = z * a(x,x,y). x * a(y,y,z) != u | a(y,y,z) * x = u. a(x,x,y) * z != u | z * a(x,x,y) = u. a(x,x,y) * (z * (a(x,x,y) \ 1)) = z. T(x,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(x,a(y,z,z)) != u | x = u. a(x,y,y) * z != u | z * a(x,y,y) = u. x \ a(y,z,z) = a(y,z,z) * (x \ 1). a(x,y,y) * (z \ 1) = z \ a(x,y,y). x * a(y,z,z) != u | a(y,z,z) * x = u. (K(x,y) * z) * z = z * (z * K(x,y)). (x \ y) \ K(x,z) = (T(x,z) \ y) \ 1. (T(x,y) \ z) \ 1 = (x \ z) \ K(x,y). x \ K(y,z) = (K(z,y) * x) \ 1. (K(x,y) * z) \ 1 = z \ K(y,x). x \ K(y,z) = (K(y,z) * x) \ 1. (K(x,y) * z) \ 1 = z \ K(x,y). (T(x,y) \ z) \ K(x,y) = (x \ z) \ 1. K(x,y) * (K(x,y) / z) = 1 / z. x * y != x / (z / x) | x / z = y. K(x,y) / z = 1 / (z / K(x,y)). 1 / (x / K(y,z)) = K(y,z) / x. x \ y != K(z,u) * (1 / w) | x * (K(z,u) / w) = y. x * (K(x,y) / z) = T(x,y) * (1 / z). T(x,y) * (1 / z) = x * (K(x,y) / z). x \ y != K(z,u) | y * K(z,u) = x. (x \ K(y,z)) * K(y,z) = x \ 1. x * ((y \ 1) * K(z,u)) = x * (y \ K(z,u)). x * ((y \ 1) * K(z,u)) != w | x * (y \ K(z,u)) = w. (K(x,y) * (z * K(x,y))) * z = (K(x,y) * z) * (K(x,y) * z). K(x,y) * (T(x,y) / z) = x / z. K(x,y) * (T(y,x) / z) = y / z. x * y != K(z,u) * (z / w) | x \ (T(z,u) / w) = y. x \ (T(x,y) / z) = K(x,y) * (x \ (x / z)). K(x,y) * (x \ (x / z)) = x \ (T(x,y) / z). K(x,y) * z = T(x,y) / (z \ x). T(x,y) / (z \ x) = K(x,y) * z. K(x,y) * (x \ (x / z)) = T(x,y) / (z * x). K(x,y) * ((z \ 1) \ x) = T(x,y) / T(z \ 1,x * z). T(x,y) / T(z \ 1,x * z) = K(x,y) * ((z \ 1) \ x). x != (y * (z * u)) * a(y,z,u) | (y * z) * u = x. (x * x) * y = a(x,x,y) * (x * (x * y)). a(x,x,y) * (x * (x * y)) = (x * x) * y. x \ y != z * a(u,u,w) | x * (a(u,u,w) * z) = y. x * (a(y,y,z) * u) = x * (u * a(y,y,z)). a(x,x,y) * z = z * a(y,x,x). 1 / (x \ K(y,z)) = K(z,y) * x. 1 / (x \ K(y,z)) = K(y,z) * x. K(x,y \ K(z,u)) = K(x,y \ K(u,z)). (1 / x) * K(y,z) = 1 / (K(y,z) * x). 1 / (K(x,y) * z) = (1 / z) * K(x,y). K(x,y) / (1 / z) = (z \ K(x,y)) \ 1. K(x,y) * (1 / z) != u | K(x,y) / z = u. 1 / (x * y) = K(y,x) / (y * x). K(x,y) / (x * y) = 1 / (y * x). 1 / (x * K(y,z)) = K(y,z) / x. K(x,y) * (z \ 1) = (z * K(x,y)) \ 1. (x * K(y,z)) \ 1 = K(y,z) * (x \ 1). x * y != (z / (u * y)) \ z | u = x. x = (1 / (x * K(y,z))) \ K(y,z). (1 / (x * K(y,z))) \ K(y,z) = x. (x \ 1) \ K(y,z) = 1 / (K(y,z) / x). 1 / (K(x,y) / z) = (z \ 1) \ K(x,y). K(x,x \ y) * ((y / x) / z) = (x \ y) / z. (K(x,y) * z) \ T(x,y) = z \ x. L(x,y \ K(z,u),y \ K(z,u)) * (K(z,u) * y) = x / (y \ K(z,u)). K(x,K(y,z) * u) = K(x,K(y,z) \ u). K(x,K(y,z) \ u) = K(x,K(y,z) * u). ((x * y) * (x * y)) * (1 / (y * x)) = y * x. x != y | L(y,K(z,u),y) = x. L(x,K(y,z),x) = (1 / (x * K(u,w))) \ K(u,w). (x * y) \ T(x,y) = (y * x) \ x. (T(x,y) * z) \ T(x,y) = (x * z) \ x. T(x,K(y,z)) \ T(y,z) = (x * K(z,y)) \ y. x \ T(y,z) = (K(z,y) * x) \ y. (K(x,y) * z) \ y = z \ T(y,x). x \ T(y,z) = (K(y,z) * x) \ y. (K(x,y) * z) \ x = z \ T(x,y). (x * y) \ T(x,z) = (T(x,z) * y) \ x. (T(x,y) * z) \ x = (x * z) \ T(x,y). (1 / x) \ T(y,z) = (K(y,z) / x) \ y. (K(x,y) / z) \ x = (1 / z) \ T(x,y). x != (y * z) \ z | T(y \ 1,z) = x. T(x \ 1,y) = (y * x) \ T(y,x). (x * y) \ T(x,y) = T(y \ 1,x). (K(x,x \ y) * z) \ (x \ y) = z \ (y / x). (1 / x) \ x = (1 / T(x,y)) \ T(x,y). (1 / T(x,y)) \ T(x,y) = (1 / x) \ x. K(x,y * y) = T(K(x,y * y),z). T(K(x,y * y),z) = K(x,y * y). K(x,T(y * y,z)) = K(x,y * y). x != K(y,z * z) | a(z,z,y) = x. a(x,x,y) = K(y,T(x * x,z)). K(x,T(y * y,z)) = a(y,y,x). K(x,T(y * y,z)) != u | a(x,y,y) = u. K(x * x,T(y,z)) = a(x,x,y). a(x,x,T(y,z)) = a(x,x,y). x != a(y,y,z) | a(z,y,y) = x. a(x,y,y) = a(y,y,T(x,z)). a(x,x,T(y,z)) = a(y,x,x). a(x,x,T(y,x)) != z | T(y,x) \ T(y,x \ 1) = z. T(x,y) \ T(x,y \ 1) = a(x,y,y). T(x,y) \ T(x,y \ 1) != z | a(y,x,y \ 1) = z. a(x,y,x \ 1) = a(y,x,x). (x * y) \ x = y \ a(x,y,y). (x \ a(y,x,x)) * y = x \ y. (x \ a(x,x,y)) * y = x \ y. R(x * x,K(y,z),u) = ((x * (x * K(y,z))) * u) / (K(y,z) * u). ((x * (x * K(y,z))) * u) / (K(y,z) * u) = R(x * x,K(y,z),u). R(x,y * y,K(z,u)) = ((x * (y * y)) * K(z,u)) / (y * (y * K(z,u))). ((x * (y * y)) * K(z,u)) / (y * (y * K(z,u))) = R(x,y * y,K(z,u)). (x * (x * K(y,z))) * L(u,K(y,z),x * x) = (x * x) * (K(y,z) * u). (x * (y * (y * K(z,u)))) * a(x,y * y,K(z,u)) = (x * (y * y)) * K(z,u). a(x,x,y) * (z * a(x,x,y)) = z. x = (a(y,y,z) * x) * a(y,y,z). (a(x,x,y) * z) * a(x,x,y) = z. x != y * a(z,z,u) | a(z,z,u) * x = y. x * a(y,y,z) != u | a(y,y,z) * u = x. (x \ (y * (x * (x * K(z,u))))) / x = ((1 / x) * y) * (K(z,u) * x). x * ((x \ y) * L(K(z,u) * x,x,x)) = (y * (x * (x * K(z,u)))) / x. L(T(x,y),z,u) \ T(x,y) = (x \ L(T(x,y),z,u)) \ K(x,y). (x \ L(T(x,y),z,u)) \ K(x,y) = L(T(x,y),z,u) \ T(x,y). T(x \ 1,y) * (1 / x) != z | T(1 / x,y) / x = z. T(1 / x,y) / x = (x \ 1) * (K(x \ 1,y) / x). (x \ 1) * (K(x \ 1,y) / x) = T(1 / x,y) / x. 1 / (T(x,y) / z) = (1 / (x / z)) * K(x,y). (1 / (x / y)) * K(x,z) = 1 / (T(x,z) / y). T(K(x,y) * (z \ 1),z * K(x,y)) = 1 / (z * K(x,y)). K(x,K(y,z) * u) = K(x,K(z,y) * u). x / T(y,z) = (y * (T(y,z) / x)) \ y. (x * (T(x,y) / z)) \ x = z / T(x,y). x \ T(x,K(y,z) * u) = K(x,K(z,y) * u). K(x,T(y,z) * u) = K(x,K(z,y) * (y * u)). K(x,K(y,z) * (z * u)) = K(x,T(z,y) * u). x / (y / T(x,z)) = x * (T(x,z) / y). x / (y * K(x,z)) = T(x,z) / y. x / (x \ y) = x * (T(x,x \ y) / y). x * (T(x,x \ y) / y) = x / (x \ y). x / y != z / (u \ z) | u \ x = y. x \ y = (x \ T(y,z)) * K(y,z). (x \ T(y,z)) * K(y,z) = x \ y. (x \ y) * K(z,y) = x \ T(y,z). K(x,y \ z) = K(x,y \ T(z,z \ 1)). K(x,y \ T(z,z \ 1)) = K(x,y \ z). (x \ y) * y = (x \ T(y,z)) * T(y,z). (x \ T(y,z)) * T(y,z) = (x \ y) * y. (x \ y) \ (x \ T(y,z)) = K(y,z). (x \ y) * T(y,z) = (x \ T(y,z)) * y. (x \ T(y,z)) * y = (x \ y) * T(y,z). (1 / (x \ y)) \ K(y,z) = x \ T(y,z). K(x,y) * z != u \ T(y,x) | T(u \ y,K(x,y)) = z. T(x \ y,K(z,y)) = K(z,y) * (x \ T(y,z)). K(x,y) * (z \ T(y,x)) = T(z \ y,K(x,y)). (x \ y) * K(y,z) = x \ T(y,z). (x \ (y \ z)) * K(y,y \ z) = x \ (z / y). x \ y != (z \ u) \ (z \ T(u,w)) | x * K(u,w) = y. T(x \ 1,y) * K(y,z) = (x * y) \ T(y,z). (x \ y) * K(y,z) != u | x \ T(y,z) = u. (T(x,y) \ y) * K(y,z) != u | y * ((x \ 1) * K(y,z)) = u. x * ((y \ 1) * K(x,z)) = T(y,x) \ T(x,z). ((x * y) \ x) * K(x,z) != u | (y \ x) / T(x,z) = u. (x \ y) / T(y,z) = (y * x) \ T(y,z). (x / y) * (y * K(x,z)) = T(x,z). x * K(y * x,z) = y \ T(y * x,z). x \ T(x * y,z) = y * K(x * y,z). K(x,y) * ((y \ T(x,y)) \ z) = (y \ x) \ z. x * (y * K(x * y,z)) = T(x * y,z). (x * y) * (K(y,x) * K(y * x,z)) = T(y * x,z). x * y != x / (x \ z) | T(z \ x,x \ z) = y. T(x \ y,y \ x) = T(y,y \ x) / x. T(x,x \ y) / y = T(y \ x,x \ y). K(x,y \ ((z \ 1) \ 1)) = K(x,y \ z). (T(x,y) / z) * T(T(x,y) / z,z) = z \ ((z \ x) * x). x * y != z \ T(z * x,u) | K((z \ 1) \ x,u) = y. K((x \ 1) \ y,z) = K(x * y,z). x * (y * K(x * y,z)) != u | T(x * y,z) = u. T(x * K(y * x,z),y) = y \ T(x * y,z). K(x \ y,z) = K((1 / x) * y,z). K((1 / x) * y,z) = K(x \ y,z). K((1 / x) * y,z) != u | K((x \ 1) * y,z) = u. K((x \ 1) * y,z) = K(x \ y,z). x != T(y,z) | y * K(y,z) = x. (x * y) * K(x * y,z) = x * (y * K(x * y,z)). x != T(y \ z,z \ y) | T(y \ z,y / z) = x. T(x \ y,x / y) = T(y,y \ x) / x. T(x,x \ y) / y = T(y \ x,y / x). L(x \ y,x \ y,x \ y) = T(y,y \ x) / x. (T(x,x \ y) / y) \ z = (((y \ x) \ 1) \ 1) \ z. (((x \ y) \ 1) \ 1) \ z = (T(y,y \ x) / x) \ z. K(x,y \ (z \ 1)) = K(x,y \ (1 / z)). K(x,y \ (1 / z)) = K(x,y \ (z \ 1)). K(x,y \ (z \ (z / (1 / u)))) = K(x,y \ L(u,u,z)). K(x,y \ L(z,z,u)) = K(x,y \ (u \ (u / (1 / z)))). (x \ 1) * (x \ K(y,x \ (x \ 1))) = T(x \ (1 / x),y). T(x,T(y,x)) != z | T(x,y) = z. x * a(y,z,z) != u | a(z,z,y) * x = u. L(x,y,x) != z | x * a(y,x,x) = z. (x \ y) / T(y,z) != u | (y * x) \ T(y,z) = u. x \ y != T(z,x) | z * x = y. (K(x,y) * z) * y = K(x,y) * (z * y). L(x,y,K(z,x)) = x. L(L(x,y,z),z * y,u) != w | (u * (z * y)) \ (u * (z * (y * x))) = w. (K(x,L(y,z,u)) * (u * z)) \ (K(x,L(y,z,u)) * (u * (z * y))) = L(y,z,u). L(x,y,K(x,z)) = x. (K(x,y) * z) / y = K(x,y) * (z / y). x \ y != L(z,u,K(z,w)) | x * z = y. (K(x,y) * z) * x = K(x,y) * (z * x). R(x,y,z) = L(R(x,y,z),u,K(x,w)). L(R(x,y,z),u,K(x,w)) = R(x,y,z). (K(x,y) * z) / x = K(x,y) * (z / x). (K(x,y) * (z * R(x,u,w))) / (z * R(x,u,w)) = R(K(x,y),z,L(R(x,u,w),z,K(x,y))). R(K(x,y),z,L(R(x,u,w),z,K(x,y))) = (K(x,y) * (z * R(x,u,w))) / (z * R(x,u,w)). R(K(x,y),z,x) = K(x,y). x \ y != (K(z,u) * w) / z | x * (K(z,u) * (w / z)) = y. (x * x) * (K(x,y) * (z / x)) = (K(x,y) * z) * x. x / T(1 / a(x \ 1,y,z),u) = T(a(x \ 1,y,z) \ 1,u) \ x. T(x,y) * (z / x) = (T(x,y) \ z) * x. (T(x,y) \ z) * x = T(x,y) * (z / x). (T(x,y) * (z / x)) * K(x,u) = (T(x,y) \ z) * T(x,u). ((T(x,y) * (z / x)) * x) * T(x,u) = (x * x) * ((T(x,y) \ z) * T(x,u)). T(T(x,y \ z),z / y) = T(x,K(z / y,y)). K(x,K(y,z)) * (T(z,y) * u) = T(T(z,y),K(x,y)) * u. (x * y) * K(z,K(y,u)) != w | x * T(y,K(z,u)) = w. x * T(y,K(x,z)) = T(x * y,K(x,z)). T(x * y,K(x,z)) = x * T(y,K(x,z)). T(x,K(y,z)) / y = T(x / y,K(y,z)). T(x * y,K(y,z)) / y = T(x,K(y,z)). T(x,K(y,z)) * y = T(x * y,K(y,z)). T(x * y,K(y,z)) = T(x,K(y,z)) * y. x != T(y,K(z,u)) * w | T(y,K(u,z)) * w = x. T(x,K(y,z)) * z = T(x * z,K(z,y)). T(x * y,K(y,z)) = T(x,K(z,y)) * y. T(x / T(y,x),K(x,z)) = T(1 / y,K(x,z)) * x. x != T(y,K(z,u)) * u | y * T(u,K(y,z)) = x. x * T(y,K(x,z)) = T(x * y,K(y,z)). T(x * y,K(y,z)) = x * T(y,K(x,z)). T(x * y,K(y,z)) != x * u | T(y,K(x,z)) = u. K(x,y) * (x \ (x / z)) != u | x \ (T(x,y) / z) = u. x \ (T(x,y) / z) = T(x,y) / (z * x). T(x,y) / (z * x) = x \ (T(x,y) / z). ((x \ 1) / y) * (x \ 1) = ((1 / x) / y) * (1 / x). ((1 / x) / y) * (1 / x) = ((x \ 1) / y) * (x \ 1). (x \ y) * ((x \ y) / z) = (y / x) * ((y / x) / z). (x / y) * ((x / y) / z) = (y \ x) * ((y \ x) / z). K(x,(x \ y) / z) = K(x,(y / x) / z). K(x,(y / x) / z) = K(x,(x \ y) / z). ((x * y) * (x * y)) / (y * x) = y * x. (x * y) * (x * y) != z | (y * x) * (y * x) = z. (x * (y / x)) \ (x \ y) = y \ (y / x). (x / y) \ (x \ z) = (T(x,x \ z) / y) \ (z / x). (T(x,x \ y) / z) \ (y / x) = (x / z) \ (x \ y). (1 / (x / L(T(x,y),z,u))) * K(x,y) = 1 / (L(T(x,y),z,u) \ T(x,y)). x \ y != K(x,z) | T(x,z) = y. T(x,K(y,z) * u) = T(x,K(z,y) * u). K(x,K(y,z) * u) != w | K(x,K(z,y) * u) = w. T(x,T(y,z) * u) = T(x,K(z,y) * (y * u)). T(x,K(y,z) * (z * u)) = T(x,T(z,y) * u). K(x,y * z) = K(x,T(z,y) * y). K(x,T(y,z) * z) = K(x,z * y). K(x,((y * z) / y) * u) = K(x,T(z,y) * u). x \ y != K(z,T(u,w) * w) | x * K(z,w * u) = y. x * K(x,y * z) = T(x,T(z,y) * y). T(x,T(y,z) * z) = x * K(x,z * y). T(x,y * z) = T(x,T(z,y) * y). T(x,T(y,z) * z) = T(x,z * y). T(x,T(y,z) * z) != u | T(x,z * y) = u. T(x,y * x) != z | T(x,x * y) = z. L(x,y,z * (u \ (1 / w))) = L(x,y,z * (u \ (w \ 1))). T(x,y \ (1 / z)) = T(x,y \ (z \ 1)). x != T(y,z \ (z \ 1)) | L(y,z,z) = x. L(x,y,y) = T(x,y \ (1 / y)). T(x,y \ (1 / y)) = L(x,y,y). T(x,y \ z) = T(x,y \ ((z \ 1) \ 1)). T(x,y \ ((z \ 1) \ 1)) = T(x,y \ z). T(x,y \ (K(z,u) * w)) = T(x,y \ ((w \ K(z,u)) \ 1)). T(x,y \ ((z \ K(u,w)) \ 1)) = T(x,y \ (K(u,w) * z)). x != L(y * z,y,y) | (y \ 1) \ z = x. (x \ 1) \ y = T(x * y,x \ (1 / x)). T(x * y,x \ (1 / x)) = (x \ 1) \ y. T(x,y \ T(z \ 1,u)) = T(x,y \ T(1 / z,u)). T(x,y \ T(1 / z,u)) = T(x,y \ T(z \ 1,u)). (T(x,y) * (T(x,y) / (z * x))) / (z * x) = (T(z \ 1,x) * K(x,y)) * (T(x,y) / (z * x)). (T(x \ 1,y) * K(y,z)) * (T(y,z) / (x * y)) = (T(y,z) * (T(y,z) / (x * y))) / (x * y). x * (y \ K(x,z)) = T(y,x) \ T(x,z). T(x,y) \ T(y,z) = y * (x \ K(y,z)). x * y != z \ T(x,x \ 1) | x * (z \ (1 / x)) = y. x * (T(y,x) \ (1 / x)) = y \ K(x,x \ 1). K(x,y) * ((T(y,x) \ x) \ z) = (y \ x) \ z. T(x,K(y,z / y)) = T(T(x,y \ z),z / y). T(T(x,y \ z),z / y) = T(x,K(y,z / y)). T(x,(y * K(z,y)) * u) = T(x,T(y,z) * u). K(x,y * z) = K(x,T(T(y,u),u) * z). K(x,T(T(y,z),z) * u) = K(x,y * u). x * (T(y,x) \ (1 / x)) != z | ((x * y) \ 1) * x = z. ((x * y) \ 1) * x = y \ K(x,x \ 1). x \ K(y,y \ 1) = ((y * x) \ 1) * y. (x \ 1) * (K(y,y \ 1) * z) = (((y * x) \ 1) * y) * z. T(T(x,y \ z),z / y) = T(x,K(y,y \ z)). T(x,y * z) = T(x,T(T(y,u),u) * z). T(x,T(T(y,z),z) * u) = T(x,y * u). x != T(y,K(z,z \ u)) | T(y,K(z,u)) = x. T(x,K(y,z)) = T(T(x,y \ z),z / y). T(T(x,y \ z),z / y) = T(x,K(y,z)). T(x,y / z) = T(T(x,z \ y),K(z,y)). T(T(x,y \ z),K(y,z)) = T(x,z / y). a(x,x \ y,x \ y) = x * (1 / L(x,y,y)). L(x,K(y,z),x) * (u * (x * K(w,v5))) = (x * K(w,v5)) * ((K(w,v5) * u) * (x * K(w,v5))). K(x,K(y,z)) * (K(z,y) * u) = K(z,T(y,x)) * u. K(x,K(y,z)) * (K(x,y) * u) = K(x,T(y,z)) * u. K(x,T(y,z)) * K(y,z) != u | T((z * y) / z,x) \ y = u. T((x * y) / x,z) \ y = K(y,x) * K(z,T(y,x)). (x \ (x / T(1 / y,z))) * x = T(y \ 1,z) \ x. K(x,((y * z) * u) / (y * u)) = K(x,R(T(z,y),y,u)). x != (y * T(y \ z,u)) / z | K(z / y,u) = x. K(x / y,z) = K(x / (y * K(z,u)),z). K(x / (y * K(z,u)),z) = K(x / y,z). K(x / y,z) = K(x / (K(u,z) * y),z). K(x / (K(y,z) * u),z) = K(x / u,z). x / (K(y / z,u) * x) = K(u,y / (K(w,u) * z)). K(x,y / (K(z,x) * u)) = w / (K(y / u,x) * w). x != y \ (z * T(z \ y,u)) | K(z \ y,u) = x. K(x \ y,z) = K((x * K(z,u)) \ y,z). K((x * K(y,z)) \ u,y) = K(x \ u,y). K((x * ((y * z) / y)) \ u,y) = K((x * z) \ u,y). K((x * y) \ z,u) = K((T(x,u) * y) \ z,u). K((T(x,y) * z) \ u,y) = K((x * z) \ 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(L(x \ y,x,K(z,u)),u) = K(x \ (K(z,u) * y),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,(x * y) \ z) = K(x,(y * x) \ z). K(x,(y * x) \ z) = K(x,(x * y) \ z). K(x,(y * (z / x)) \ u) = K(x,(y * (x \ z)) \ 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,(K(x,y) * z) \ u) = K(x,z \ u). x != T(y,z) * (T(u,y) \ 1) | K(y,z) * (u \ y) = x. K(x,y) * (z \ x) = T(z,K(x,y)) \ T(x,y). T(x,K(y,z)) \ T(y,z) = K(y,z) * (x \ y). T(x,K(y,z)) \ T(y,z) != u | (x * K(z,y)) \ y = u. (x * K(y,z)) \ z = K(z,y) * (x \ z). (x \ K(y,z)) \ z = K(z,y) * ((x \ 1) \ z). K(x,y) * ((z \ 1) \ x) = (z \ K(y,x)) \ x. K(x,K(y,z)) * x = T(K(y,x),z) * T(x,y). T(K(x,y),z) * T(y,x) = K(y,K(x,z)) * y. x != K(y,z) * y | T(y,z) = x. T(x,K(y,z)) = T(K(y,x),z) * T(x,y). T(K(x,y),z) * T(y,x) = T(y,K(x,z)). K(x,T(y,z)) * T(y,x) = T(y,K(x,z)). K(x,y) * T(z,x) != u | T(K(x,y) * z,x) = u. T(K(x,T(y,z)) * y,x) = T(y,K(x,z)). T(x * K(y,T(x,z)),y) = T(x,K(y,z)). K(x,T(y,z)) * K(z,T(x,y)) = K(x,y) * K(z,x). (x \ 1) * T(1 / x,y) = T(1 / x,y) / x. x * y != (z * u) * K(z * u,w) | x \ (z * (u * K(z * u,w))) = y. (x * (y * K(x * y,z))) \ (x * (y * K(x * y,z))) = a(x,y,K(x * y,z)). ((x \ 1) \ 1) \ y != z | T(y,x) * (1 / x) = z. T(x,y \ z) * (1 / (y \ z)) = (T(z,z \ y) / y) \ x. x != (K(y,z) * u) * y | K(y,z) * (u * y) = x. K(x,y) * (z * x) = (x * x) * (K(x,y) * (z / x)). (x * x) * (K(x,y) * (z / x)) = K(x,y) * (z * x). T(x / T(y,x),K(x,z)) = (1 / T(y,K(x,z))) * x. x * y != ((1 / z) / u) * (1 / z) | x \ (((z \ 1) / u) * (z \ 1)) = y. x \ (((y \ 1) / x) * (y \ 1)) = (x \ (1 / y)) * (x \ (1 / y)). T(x \ y,x / y) \ (x / y) = (y / x) \ (y \ x). K(x,K(y,z)) * (u * K(x,y)) = K(x,T(y,z)) * T(u,K(y,x)). K(x,K(y,z)) * T(x,T(u,y)) = K(x,T(y,z)) * T(T(x,y),u). L(x,y,L(x,z,u)) \ x = K(x,y) * K(L(x,z,u) * y,T(x,y)). K(x,y) * K(L(x,z,u) * y,T(x,y)) = L(x,y,L(x,z,u)) \ x. x != y / (K(z,u) * y) | K(u,z) = x. K(x,y / z) = K(x,y / (K(u,x) * z)). K(x,y / (K(z,x) * u)) = K(x,y / u). K(x,y / ((x \ z) * x)) = K(x,y / z). K(x,y / (z * x)) = K(x,y / (x * z)). K(x,y / z) = K(x,y / (x * (z / x))). K(x,y / (x * (z / x))) = K(x,y / z). (x \ 1) / (x \ K(x,(y * (x \ z)) \ u)) = K((y * (z / x)) \ u,x). (x * x) * (K(x,y) * z) = K(x,y) * ((z * x) * x). K(x,y) * ((z * x) * x) = (x * x) * (K(x,y) * z). x != (1 / T(y,K(z,u))) * z | z / T(y,T(z,u)) = x. x / T(y,T(x,z)) = T(x / T(y,x),K(x,z)). T(x / T(y,x),K(x,z)) = x / T(y,T(x,z)). T(x / y,K(x,z)) = x / T(T(y,x),T(x,z)). x / T(T(y,x),T(x,z)) = T(x / y,K(x,z)). x / T(y,K(x,z)) = T(x / y,K(x,z)). (x / y) * ((x \ y) \ 1) = (y / x) \ (y \ x). K(T(x,y),L((y \ 1) * z,u,w)) != v5 | K(x,L(z * (1 / y),u,w)) = v5. (x \ 1) / (x * y) != z | x \ ((1 / y) / x) = z. x \ ((1 / ((1 / x) / y)) / x) = T(1 / (x / y),x \ 1). x != (y \ (z / y)) * (1 / y) | (y * y) \ (y \ z) = x. (x * x) \ (x \ y) = ((x \ 1) * y) * (x \ (1 / x)). ((x \ 1) * y) * (x \ (1 / x)) = (x * x) \ (x \ y). (x \ 1) * ((x \ 1) * ((x \ 1) * y)) = (x * x) \ (x \ y). (x * x) \ (y * y) != z | ((x * x) \ y) * y = z. ((x * x) \ (y * x)) * (y * x) = (y * ((1 / x) \ y)) / x. x != (y * (z \ y)) * (z \ 1) | (z \ y) * (z \ y) = x. (x \ y) * (x \ y) = (y * (x \ 1)) * (y * (x \ 1)). (x * (y \ 1)) * (x * (y \ 1)) = (y \ x) * (y \ x). ((x \ 1) * y) * ((x \ 1) * y) = (x \ y) * (x \ y). x \ (((x * ((y \ 1) * (x \ 1))) * (y \ 1)) / x) = (y \ (x \ 1)) * (y \ (x \ 1)). (((x \ y) * (x \ y)) \ z) * ((x \ 1) * y) = z / ((x \ 1) * y). (1 / x) * (y * T(x,z)) = ((1 / x) \ y) / T(x,z). ((1 / x) \ y) / T(x,z) = (1 / x) * (y * T(x,z)). ((1 / x) \ y) / T(x,z) != u | T(y,x \ 1) * K(x,z) = u. T(x,y \ 1) * K(y,z) = (1 / y) * (x * T(y,z)). x != K(y,z) * ((y \ 1) \ u) | (T(y,z) \ 1) \ u = x. (T(x,y) \ 1) \ z = x * (T(x,y) * ((1 / x) * z)). x * (T(x,y) * ((1 / x) * z)) = (T(x,y) \ 1) \ z. x * y != (T(x,z) \ 1) \ u | x * ((1 / T(x,z)) * u) = y. x * ((1 / T(x,y)) * z) = T(x,y) * ((1 / x) * z). T(x,y) * ((1 / x) * z) = x * ((1 / T(x,y)) * z). T(x * (x * y),y * x) = 1 / ((x \ (y \ 1)) / x). T(x * (y * y),x * y) = 1 / ((y \ (x \ 1)) / y). T(x * (y * y),x * y) = 1 / ((x * y) \ (1 / y)). x != 1 / ((y * z) \ (1 / z)) | (1 / (z * y)) \ z = x. (1 / (x * y)) \ x = T(y * (x * x),y * x). T(x * (y * y),x * y) = (1 / (y * x)) \ y. (x \ 1) / (y \ 1) != z | ((1 / y) * x) \ 1 = z. ((1 / x) * ((x \ y) \ 1)) \ 1 = (x / (1 / y)) * (1 / x). x != K(y,y \ 1) * z | ((y * (1 / z)) \ 1) * y = x. ((x * (1 / (y * z))) \ 1) * x = y * T(x * (z * (1 / x)),x). (x * (x * T(y,z))) * K(y,z) = y * (x * x). x != 1 / L((y \ 1) \ 1,z,u) | L(y,z,u) \ 1 = x. L(x,y,z) \ 1 = (x \ L(x,y,z)) \ (x \ 1). (x \ L(x,y,z)) \ (x \ 1) = L(x,y,z) \ 1. (x \ y) \ (x \ 1) != z | (y \ x) * (x \ 1) = z. (L(x,y,z) \ x) * (x \ 1) = L(x,y,z) \ 1. (L(1 / x,y,z) \ 1) / x = L(1 / x,y,z) \ (1 / x). x != y * (a(y \ 1,z,u) / y) | (y \ 1) * L(y,u,z) = x. (x \ 1) * L(x,y,z) = ((L(x,y,z) \ 1) \ 1) / x. ((L(x,y,z) \ 1) \ 1) / x = (x \ 1) * L(x,y,z). (1 / (x * y)) / (y \ 1) = (1 / (x / y)) / y. x != (1 / (y / z)) / z | (1 / z) / (z \ y) = x. (1 / x) / (x \ y) = (1 / (y * x)) / (x \ 1). (1 / (x * y)) / (y \ 1) = (1 / y) / (y \ x). x != ((1 / y) \ z) * z | (y * z) * L(z,y,y) = x. (x * y) * L(y,x,x) = (y * ((y / (1 / x)) / x)) / (1 / x). (x * ((x / (1 / y)) / y)) / (1 / y) = (y * x) * L(x,y,y). T((1 / x) * ((1 / x) * y),x) = x * (((x * x) \ y) / x). ((1 / x) * (1 / x)) * ((1 / x) * y) = (x \ (y / x)) / x. x != T(y,z \ 1) * K(z,u) | (1 / z) * (y * T(z,u)) = x. (1 / x) * (y * T(x,z)) = (((x \ 1) \ 1) \ y) * T(x,z). (((x \ 1) \ 1) \ y) * T(x,z) = (1 / x) * (y * T(x,z)). x != (y \ (z \ 1)) * (1 / y) | y \ ((y * z) \ 1) = x. x \ ((x * y) \ 1) = T(y \ (x \ (1 / x)),x \ 1). T(x \ (y \ (1 / y)),y \ 1) = y \ ((y * x) \ 1). x != y * (z * T(z,y \ 1)) | z * ((1 / y) \ z) = x. x * ((1 / y) \ x) = ((x * ((1 / y) * x)) * y) * y. ((x * ((1 / y) * x)) * y) * y = x * ((1 / y) \ x). (x * ((y * (x \ 1)) * y)) * x = y * ((1 / x) \ y). (x * ((y * (x \ 1)) * z)) * x != u | T(y,x) * T(x * z,x) = u. T(x,y) * T(y * x,y) = x * ((1 / y) \ x). T(x,y) * T(y * x,y) != z | L(x,y,y) * (y * x) = z. L(x,y,y) * (y * x) = x * ((1 / y) \ x). (L(x,y,y) * (y * x)) \ 1 = x \ ((x * y) \ 1). (L(x,y,y) * (y * x)) \ 1 != z | (y * x) \ ((y * x) \ y) = z. (x * y) \ ((x * y) \ x) = y \ ((y * x) \ 1). x * y != (z * u) \ ((z * u) \ z) | x \ (u \ ((u * z) \ 1)) = y. x \ (y \ ((y * x) \ 1)) = (x * y) \ ((x * y) \ 1). (x * y) \ ((x * y) \ 1) = x \ (y \ ((y * x) \ 1)). x \ y != (z * u) \ ((z * u) \ 1) | x * (z \ (u \ ((u * z) \ 1))) = y. x * (y \ (z \ ((z * y) \ 1))) = (y * z) \ ((y * z) \ x). (x * (((x \ 1) * y) * z)) / (1 / x) = y * (z * ((x \ 1) \ 1)). R(x,y \ z,T(y,y \ z)) != u | R(x,z / y,y) = u. x != y * (z \ (1 / z)) | (y / z) * (1 / z) = x. (x / y) * (1 / y) = y \ ((y * x) * ((y \ 1) * (y \ 1))). x \ ((x * y) * ((x \ 1) * (x \ 1))) = (y / x) * (1 / x). x != T(y \ 1,y \ z) \ u | (T(y,z) \ 1) \ u = x. (T(x,y) \ 1) \ 1 = (x * (y * (1 / x))) / (x \ y). (x * (y * (1 / x))) / (x \ y) = (T(x,y) \ 1) \ 1. K(x / y,y) * T(z,x / y) != u | (y \ x) \ (z * (x / y)) = u. (x \ y) \ (z * (y / x)) = ((x \ y) * z) / (y / x). ((x \ y) * z) / (y / x) = (x \ y) \ (z * (y / x)). (((x / (x \ y)) \ y) * z) / ((x \ y) * (x \ y)) = ((x / (x \ y)) \ y) \ (z * (y / (x / (x \ y)))). K(x,K(y,z)) * (K(y,u) * x) != w | K(y,u) * T(x,K(y,z)) = w. K(x,y) * T(z,K(x,u)) = T(K(x,y) * z,K(x,u)). T(K(x,y) * z,K(x,u)) = K(x,y) * T(z,K(x,u)). T(K(x,y) * z,K(u,x)) = K(x,y) * T(z,K(x,u)). T(K(x,y) * z,K(u,x)) = K(x,y) * T(z,K(u,x)). x != K(y,z) * ((u \ 1) \ y) | (u \ K(z,y)) \ y = x. (x \ K(y,z)) \ z = T(z,y) / T(x \ 1,z * x). T(x,y) / T(z \ 1,x * z) = (z \ K(y,x)) \ x. x != 1 / (y * K(z,u)) | K(z,u) / y = x. K(x,y) / z = T(K(x,y) * (z \ 1),z * K(x,y)). T(K(x,y) * (z \ 1),z * K(x,y)) = K(x,y) / z. x != y \ ((y \ z) * z) | (y \ z) * (z / y) = x. (x \ y) * (y / x) = (T(y,z) / x) * T(T(y,z) / x,x). (T(x,y) / z) * T(T(x,y) / z,z) = (z \ x) * (x / z). (x \ 1) * (x \ a(y,x,x)) = T(x \ (1 / x),y). (x \ 1) * ((y * x) \ y) = T(x \ (1 / x),y). (T(x,y) * z) * K(x,u) != w | T(x,y) * (z * K(x,u)) = w. T(x,y) * ((z / x) * K(x,u)) = (T(x,y) \ z) * T(x,u). K(x,K(y,z)) * (T(z,y) * u) = T(z,T(y,x)) * u. L(x,y,z * (u \ (1 / z))) = L(x,y,z \ (u \ z)). T(x,y \ z) * (1 / (y \ z)) != u | T(x,z \ y) / (y \ z) = u. T(x,y \ z) / (z \ y) = (T(y,y \ z) / z) \ x. (x / y) / (x \ y) = (T(y,y \ x) / x) \ (x / y). (T(x,x \ y) / y) \ (y / x) = (y / x) / (y \ x). (T(x,x \ y) / z) \ (y / x) != u | (x / z) \ (x \ y) = u. (x / y) \ (x \ y) = (y / x) / (y \ x). (x / y) / (x \ y) = (y / x) \ (y \ x). x \ (((x \ (y \ 1)) \ 1) / x) = T(1 / (x / y),x \ 1). (x \ 1) * (y * (x \ (1 / x))) = (x * x) \ (x \ y). (x \ 1) * (y \ (x \ (1 / x))) = (x * x) \ (x \ (y \ 1)). (x / y) * (x * y) = (x * ((1 / y) \ x)) / y. (x * ((1 / y) \ x)) / y = (x / y) * (x * y). (x * ((y \ 1) / x)) \ 1 = (x / (1 / y)) * (1 / x). (x * ((T(y,x) \ 1) / x)) \ 1 = ((y \ 1) \ x) * (1 / x). x != L(1 / y,z,u) \ (1 / y) | 1 / (y * L(y \ 1,z,u)) = x. 1 / (x * L(x \ 1,y,z)) = (L(1 / x,y,z) \ 1) / x. (L(1 / x,y,z) \ 1) / x = 1 / (x * L(x \ 1,y,z)). (x \ ((x * x) \ y)) * x = T((1 / x) * ((1 / x) * y),x). T((1 / x) * ((1 / x) * y),x) = (x \ ((x * x) \ y)) * x. (x * y) \ ((x * y) \ 1) != z | x \ (y \ ((y * x) \ 1)) = z. x != y * (1 / z) | ((z * z) \ y) / (z \ 1) = x. ((x * x) \ (y / x)) / (x \ 1) = x \ ((x * y) * ((x \ 1) * (x \ 1))). x \ ((x * y) * ((x \ 1) * (x \ 1))) = ((x * x) \ (y / x)) / (x \ 1). (x \ T(y,z)) * (T(y,z) / x) = (x \ y) * (y / x). T(x,y) * (z / T(x,u)) = (T(x,y) \ z) * T(x,u). (T(x,y) \ z) * T(x,u) = T(x,y) * (z / T(x,u)). x \ (((x \ y) \ 1) / x) != z | T(y,x) \ (1 / x) = z. T(x \ 1,y) \ (1 / y) = T(1 / (y / x),y \ 1). T(1 / (x / y),x \ 1) = T(y \ 1,x) \ (1 / x). (x \ 1) * (y \ (x \ (1 / x))) != z | x \ (((x * y) \ 1) / x) = z. x \ (((x * y) \ 1) / x) = (x * x) \ (x \ (y \ 1)). (x * x) \ (x \ (y \ 1)) = x \ (((x * y) \ 1) / x). (x \ 1) * (x \ (y \ 1)) = ((x * y) \ 1) / x. ((x \ y) * (1 / y)) \ 1 = ((x \ 1) \ y) * (1 / y). ((x \ y) * (1 / y)) \ 1 != z | y * (((y \ x) \ 1) \ 1) = z. x * (((x \ y) \ 1) \ 1) = ((y \ 1) \ x) * (1 / x). ((x \ 1) \ y) * (1 / y) = y * (((y \ x) \ 1) \ 1). x / y != 1 / (y * L(y \ 1,z,u)) | y / (y * L(y \ 1,z,u)) = x. x / (x * L(x \ 1,y,z)) = L(1 / x,y,z) \ 1. (x * L(x \ 1,y,z)) \ x = L(1 / x,y,z) \ 1. a(x,y,z) \ x = L(1 / x,z,y) \ 1. L(1 / x,y,z) \ 1 = a(x,z,y) \ x. a(x,1 / L(1 / y,z,u),w) = a(x,a(y,u,z) \ y,w). a(x,a(y,z,u) \ y,w) = a(x,1 / L(1 / y,u,z),w). (1 / x) * ((1 / x) * ((1 / x) * y)) = x \ ((x * x) \ y). a(x,a(y,z,u) \ y,w) = a(x,L(y \ 1,u,z) \ 1,w). a(x,L(y \ 1,z,u) \ 1,w) = a(x,a(y,u,z) \ y,w). x != y \ T(z * y,y) | L(z,y,y) = x. L(x * y,z,z) = (z \ ((1 / z) \ x)) * L(y,z,z). (x \ ((1 / x) \ y)) * L(z,x,x) = L(y * z,x,x). (x \ y) * L(z,x,x) = L(((1 / x) * y) * z,x,x). L(((1 / x) * y) * z,x,x) = (x \ y) * L(z,x,x). L(x,y,y) * L(z,y,y) = L(x * z,y,y). L(x,y,y) * (y \ z) = L(x * ((1 / y) * z),y,y). L(x * ((1 / y) * z),y,y) = L(x,y,y) * (y \ z). ((x \ 1) \ y) * L(z,x,x) = L((x * y) * z,x,x). L(x,y,y) * (z * y) = L(x * (z / (1 / y)),y,y). L(x * (y / (1 / z)),z,z) = L(x,z,z) * (y * z). x * L(y,z,z) = L(L(x,z,z) * y,z,z). L(L(x,y,y) * z,y,y) = x * L(z,y,y). (x * y) * L(z,x,x) = L(((x \ 1) \ y) * z,x,x). L(((x \ 1) \ y) * z,x,x) = (x * y) * L(z,x,x). L(x,y,y) * (z * z) = L(x * (z * z),y,y). L(x * (y * y),z,z) = L(x,z,z) * (y * y). (x * (x * y)) * L(z,x,x) = L(((x * x) * y) * z,x,x). L(((x * x) * y) * z,x,x) = (x * (x * y)) * L(z,x,x). L(x,y,y) * (L(z,y,y) \ 1) = L(x * (z \ 1),y,y). ((x \ 1) * y) * L(z,x,x) = L((((x \ 1) \ 1) \ y) * z,x,x). L((((x \ 1) \ 1) \ y) * z,x,x) = ((x \ 1) * y) * L(z,x,x). K(x,y) * L(z,u,u) = L(K(x,y) * z,u,u). L(K(x,y) * z,u,u) = K(x,y) * L(z,u,u). L(x,y,y) * K(z,u) = L(x * K(z,u),y,y). L(x * K(y,z),u,u) = L(x,u,u) * K(y,z). x != (K(y,z) / y) * z | z / y = x. L(x,y,y) / z = L(L(K(z,L(x,y,y)) / z,y,y) * x,y,y). L(L(K(x,L(y,z,z)) / x,z,z) * y,z,z) = L(y,z,z) / x. x * y != L(L(z,u,u) * w,u,u) | x \ (z * L(w,u,u)) = y. (1 / x) \ (y * L(z,x,x)) = x * (L(y,x,x) * z). x \ (y * L(z,x,x)) = (x \ 1) * (L(y,x,x) * z). (x \ 1) * (L(y,x,x) * z) = x \ (y * L(z,x,x)). L(a(L(x,y,y),z,u),y,y) = x * L(L(L(x,y,y) \ 1,u,z),y,y). x * L(L(L(x,y,y) \ 1,z,u),y,y) = L(a(L(x,y,y),u,z),y,y). L(x \ L(y,z,z),z,z) = y * L(T(x,L(y,z,z)) \ 1,z,z). x * L(T(y,L(x,z,z)) \ 1,z,z) = L(y \ L(x,z,z),z,z). (x * L(y,z,z)) * (1 / z) = (L(x,z,z) * y) / z. x * (x * (y * L(z,x,x))) = (x * x) * (L(y,x,x) * z). (x * x) * (L(y,x,x) * z) = x * (x * (y * L(z,x,x))). x * (x * L(y,z,z)) = L(y * (x * x),z,z). L(x * (y * y),z,z) = y * (y * L(x,z,z)). x * y != L(K(z,u) * w,v5,v5) | x \ (K(z,u) * L(w,v5,v5)) = y. (K(x,y) * z) \ (K(x,y) * L(z,u,u)) = a(u,u,K(x,y) * z). L(K(x,y) / z,u,u) = K(x,y) * L(1 / z,u,u). K(x,y) * L(1 / z,u,u) = L(K(x,y) / z,u,u). L(x,y,z) * u != L(x * K(w,x),y,z) | K(w,L(x,y,z)) = u. K(x,L(y,z,z)) = K(x,y). (L(x,y,y) * K(z,u)) * y = T(y * (x * K(z,u)),y). x \ y != K(z,L(u,w,w)) | x * K(z,u) = y. x * K(x,y) = T(x,L(y,z,z)). T(x,L(y,z,z)) = x * K(x,y). L(x,y,y) * K(z,x) = T(L(x,y,y),z). K(x,y \ z) = K(x,(1 / y) * z). K(x,(1 / y) * z) = K(x,y \ z). K(x,(y \ 1) \ z) = K(x,y * z). K(x,T(y,z * z)) = K(x,y). (K(x,y) / L(y,z,z)) * x = x / L(y,z,z). K(x,T(y,z \ 1)) = K(x,T(y,z)). K(x,y \ T(z,y)) = K(x,z / y). K(x,y / z) = K(x,y * (z \ 1)). K(x,y * (z \ 1)) = K(x,y / z). K(x,y * (y * z)) = K(x,(y * y) * z). K(x,(y * y) * z) = K(x,y * (y * z)). K(x,L(y,z,z) \ 1) = K(x,y \ 1). T(x,y) = T(x,L(y,z,z)). T(x,L(y,z,z)) = T(x,y). T(x,L(y,z,z)) != u | T(x,y) = u. L(x,y,y) \ z = T(z / L(x,y,y),x). T(x / L(y,z,z),y) = L(y,z,z) \ x. x * y != T(z,L(u,w,w)) | x \ T(z,u) = y. (L(x,y,y) \ 1) \ T(z,x) = z / (1 / L(x,y,y)). T(x,(y * y) \ z) = T(x,y \ (y \ z)). T(x,y) \ (L(y,z,z) \ x) = L(y,z,z) \ 1. T(x,y \ z) = T(x,(1 / y) * z). T(x,(1 / y) * z) = T(x,y \ z). T(x,(y \ 1) \ z) = T(x,y * z). T(x,y * z) = T(x,y / (1 / z)). T(x,y / (1 / z)) = T(x,y * z). T(x,T(y,z \ 1)) = T(x,T(y,z)). T(x,y \ T(z,y)) = T(x,z / y). T(x,L(y,z \ 1,z)) = T(x,y). T(x,y / z) = T(x,y * (z \ 1)). T(x,y * (z \ 1)) = T(x,y / z). T(x,y * (y * z)) = T(x,(y * y) * z). T(x,(y * y) * z) = T(x,y * (y * z)). T(x,L(y,z,z) \ 1) = T(x,y \ 1). T(x,T(y / z,u)) = T(x,T(y * (z \ 1),u)). T(x,T(y * (z \ 1),u)) = T(x,T(y / z,u)). (x * L(y,z,z)) \ T(x,y) = T(L(y,z,z) \ 1,x). T(x,T(y * z,u)) = T(x,T((y \ 1) \ z,u)). T(x,T((y \ 1) \ z,u)) = T(x,T(y * z,u)). K(x,(y \ z) / y) = K(x,y \ (z / y)). K(x,(K(y,z) * u) * w) = K(x,(u \ K(z,y)) \ w). K(x,(y \ K(z,u)) \ w) = K(x,(K(u,z) * y) * w). K(x,(K(y,z) / u) * w) = K(x,(u * K(y,z)) \ w). K(x,(y * K(z,u)) \ w) = K(x,(K(z,u) / y) * w). K(x,(y * z) * y) = K(x,y * (z * y)). K(x,(y * z) * z) = K(x,z * (z * y)). T(K(x,y),z \ 1) = K(x,T(y,z)). K(x,T(y,z \ (u \ z))) = K(x,T(y,T(u,z))). K(x,T(y,z \ u)) = K(x,T(y,u \ z)). x \ y != K(z,u * (w \ 1)) | x * K(z,u / w) = y. x * K(x,y / z) = T(x,y * (z \ 1)). T(x,y * (z \ 1)) = x * K(x,y / z). T(x,(y \ 1) \ z) != u | T(x,y * z) = u. T(x,(y \ 1) \ 1) != z | T(x,y) = z. T(x,T(y,z \ 1)) != u | T(x,T(y,z)) = u. T(x,y / (1 / z)) != u | T(x,y * z) = u. T(x,T(y,z) / z) != u | T(x,z \ y) = u. T(x,x * (1 / y)) = T(x,y \ x). T(x,(1 / y) * z) != u | T(x,(y \ 1) * z) = u. T(x,(y \ 1) * z) = T(x,y \ z). T(x * y,(1 / x) * y) != z | (1 / ((1 / x) * y)) \ (x * x) = z. (1 / ((1 / x) * y)) \ (x * x) = T(x * y,x \ y). T(x * y,x \ y) = (1 / ((1 / x) * y)) \ (x * x). T(x,(y \ z) / y) = T(x,y \ (z / y)). T(x,(y \ 1) \ T(T(z,y),u)) = T(x,T(z,u) * y). T(x,(((1 / y) * z) \ 1) \ u) = T(x,(T(z,y) / y) * u). T(x,(y * z) * y) = T(x,y * (z * y)). T(x,(y * z) * z) = T(x,z * (z * y)). (x \ (y \ 1)) * T(z,y * x) = z / ((x \ (y \ 1)) \ 1). T(x * y,T(z,y \ 1)) != u | T(x * y,T(z,x)) = u. T(x * y,T(z,x)) = T(x * y,T(z,y)). T(x * y,T(z,y)) = T(x * y,T(z,x)). T(x,y \ T(z,y)) != u | T(x,(y * (z \ 1)) \ 1) = u. T(x,(y * (z \ 1)) \ 1) = T(x,z / y). x != T(y,L(y,z,u) \ y) | y = x. x = T(x,x * (1 / L(x,y,z))). T(x,x * (1 / L(x,y,z))) = x. T(x * (1 / L(x,y,z)),x) = x * (1 / L(x,y,z)). T(x,y * (z \ 1)) != u | T(x,y / z) = u. T(x,(y \ 1) / z) = T(x,y \ (z \ 1)). T(x,y * z) = T(x,(1 / y) \ z). T(x,(1 / y) \ z) = T(x,y * z). T(x,T(y \ 1,z) * u) = T(x,T(y,y * z) \ u). T(x,T(y,y * z) \ u) = T(x,T(y \ 1,z) * u). T(x,y \ ((z \ 1) * (y * (z \ 1)))) = T(x,z \ T(z \ 1,y)). T(T(x,y \ z),K(u,(y \ 1) * z)) = T(x,T((y \ 1) * z,u)). T(x,(y \ K(z,u)) * w) = T(x,(K(z,u) * y) \ w). T(x,(K(y,z) * u) \ w) = T(x,(u \ K(y,z)) * w). T(x,T(y,z \ 1)) = T(x,z * (y * (1 / z))). T(x,y * (z * (1 / y))) = T(x,T(z,y \ 1)). T(x,T(y * z,z)) = T(x,z * y). T(x,T(y,z)) = T(x,z * (y / z)). T(x,y * (z / y)) = T(x,T(z,y)). T(x,T(y * (z * u),L(u,z,y))) = T(x,L(u,z,y) * (y * z)). T(x,T((T(y,z) \ z) * u,u)) = T(x,u * (z * (y \ 1))). T(x,T((y * z) * (y * z),z)) = T(x,z * (y * ((1 / z) \ y))). K(x,y) * T(x,y * z) = T(T(x,y),z * y). T(T(x,y * z),K(y,z)) = T(x,z * y). T(x,y * z) = T(x,T(z * y,z)). T(x,T(y * z,y)) = T(x,z * y). x * K(x,y * z) = T(x,T(z * y,z)). T(x,T(y * z,y)) = x * K(x,z * y). T(T(x,y),T(z,y)) != u | T(x,y) * K(x,z) = u. T(x,y) * K(x,y * z) = T(T(x,y),z * y). x * y != T(z,T(u * w,u)) | x \ T(z,w * u) = y. x \ T(x,y * z) = K(x,T(z * y,z)). K(x,T(y * z,y)) = x \ T(x,z * y). T(x,T(y * (z * u),y * z)) = T(x,L(u,z,y) * (y * z)). T(x,T((y * z) * u,R(y,z,u))) = T(x,(z * u) * R(y,z,u)). T(x,T(((1 / y) \ z) * u,y)) = T(x,((z * (u / y)) * y) * y). T(x,y / (z \ 1)) = T(x,y * z). K(T(x * y,x),z) = z / T(z,y * x). T(x,y / z) = T(x,y * (1 / z)). T(x,y * (1 / z)) = T(x,y / z). (L(x,y,y) \ 1) * K(z,x \ 1) = T(L(x,y,y) \ 1,T(z,L(x,y,y))). T(L(x,y,y) \ 1,T(z,L(x,y,y))) = (L(x,y,y) \ 1) * K(z,x \ 1). T(x,(1 / y) / z) != u | T(x,y \ (z \ 1)) = u. L(T(x,y),y \ 1,y) != z | T(x,y \ 1) = z. L(x,y,y) * K(x,z) = T(L(x,y,y),z). T(x / L(y,z,z),y) != u | (y \ x) * K(y,z \ (z \ 1)) = u. (x \ y) * K(x,z \ (z \ 1)) = L(x,z,z) \ y. K(x,L(y,z,z) * (u / z)) = K(x,z \ (((z * y) * u) / z)). K(x,y \ (((y * z) * u) / y)) = K(x,L(z,y,y) * (u / y)). K(x,x * ((y * z) * y)) = K(x \ 1,y * (z * y)). K(x \ 1,y * (z * y)) = K(x,x * ((y * z) * y)). K(x,(y * z) * z) = K(x,y * (z * z)). K(x,T(y,z)) = K(x,T(y,z \ y)). K(x,T(y,z \ y)) = K(x,T(y,z)). K(x,T(y,z)) = K(x,T(y,z \ x)). K(x,T(y,z \ x)) = K(x,T(y,z)). K(x,T(y,z * u)) = K(x,T(y,u \ (z \ 1))). K(x,T(y,z \ (u \ 1))) = K(x,T(y,u * z)). x != K(y,T(z,u \ w)) | K(y,T(z,w \ u)) = x. K(x,T(y,z \ u)) = K(x,T(y,(u \ z) \ y)). K(x,T(y,(z \ u) \ y)) = K(x,T(y,u \ z)). K(x * y,T(z,y)) = K(x * y,T(z,x)). T(x,y * T(z * u,z)) = T(x,z * (((z \ y) * u) * z)). T(x,y * (((y \ z) * u) * y)) = T(x,z * T(y * u,y)). T(x * L(L(y,z,u),w,v5),y) = T(x * L(L(y,z,u),w,v5),T(y,x)). T(x * L(L(y,z,u),w,v5),T(y,x)) = T(x * L(L(y,z,u),w,v5),y). T(x,(y * z) \ 1) = T(x,(1 / z) / y). T(x,(1 / y) / z) = T(x,(z * y) \ 1). T(T(x,K(y,z)),y * z) = T(x,z * y). K(x,T(y * z,y)) = K(x,z * y). T(x,T(y * z,y)) != u | T(x,z * y) = u. K(x,T(y,z)) = K(x,(z \ y) * z). K(x,(y \ z) * y) = K(x,T(z,y)). K(x,y / (z \ 1)) = K(x,y * z). x * K(y,z * x) = K(y,x * z) * x. K(x,y * z) * y = y * K(x,z * y). K(x,T(y * z,u)) = K(x,T(T(z * y,u),z)). K(x,T(T(y * z,u),y)) = K(x,T(z * y,u)). K(x,y * (z / y)) = K(x,T(z,y)). x \ y != K(z,u / (w \ 1)) | x * K(z,u * w) = y. x * K(y \ 1,x * y) = (y \ 1) * (x / (y \ 1)). (x \ 1) * (y / (x \ 1)) = y * K(x \ 1,y * x). K(x,y / z) = K(x,y * (1 / z)). K(x,y * (1 / z)) = K(x,y / z). K(x,y * z) = K(x,T(z * y,y)). K(x,T(y * z,z)) = K(x,z * y). K(x,(y \ 1) * (y \ ((y * z) * u))) = K(x,T(z * (u * (y \ 1)),y \ 1)). K(x,T(y * (z * (u \ 1)),u \ 1)) = K(x,(u \ 1) * (u \ ((u * y) * z))). K(x,y * (z * ((1 / y) \ z))) = K(x,T((z * y) * (z * y),y)). K(x,T((y * z) * (y * z),z)) = K(x,z * (y * ((1 / z) \ y))). K(x,(1 / y) \ z) = K(x,y * z). K(x,L(x,y,z) * u) != w | K(x,u * L(x,y,z)) = w. T((x * y) * K(z,y * x),z) = T(x * y,K(z,y)). K(x,(1 / y) \ y) != z | a(x,y \ 1,y \ 1) = z. a(x,y \ 1,y \ 1) = K(x,y * y). K(x,y \ (y / z)) != u | K(x,z \ 1) = u. K(x,y \ 1) = K(x,z * ((1 / z) / y)). K(x,y * ((1 / y) / z)) = K(x,z \ 1). K(x,y \ z) = K(x,(y \ 1) * z). K(x,(y \ 1) * z) = K(x,y \ z). K(x,((1 / y) \ z) \ u) = K(x,((z \ 1) * (y \ 1)) * u). K(x,((y \ 1) * (z \ 1)) * u) = K(x,((1 / z) \ y) \ u). x != K(y,z * z) | a(y,z,z) = x. a(x,y,y) = a(x,y \ 1,y \ 1). a(x,y \ 1,y \ 1) = a(x,y,y). K(x,T(y * z,y)) != u | K(x,z * y) = u. x != y / T(y,z) | K(z,y) = x. K(x * y,z) = K(T(y * x,y),z). K(T(x * y,x),z) = K(y * x,z). K(x * y,T(z,x)) = K(y * x,z). K(x * y,z) = K(y * x,T(z,x)). K(x * y,T(z,y)) = K(y * x,z). x \ y != K(T(z * u,z),w) | x * K(u * z,w) = y. x * K(y * x,z) = K(x * y,z) * x. K(x * y,z) * x = x * K(y * x,z). K(x / (y \ 1),z) = K(x * y,z). K(L(x,y,z) * u,x) = K(u * L(x,y,z),x). K(x / y,z) = K(x * (1 / y),z). K(x * (1 / y),z) = K(x / y,z). K(x * (1 / y),z) != u | K(x * (y \ 1),z) = u. K(x * (y \ 1),z) = K(x / y,z). K(x * y,z) = K(x / (1 / y),z). K(x / (1 / y),z) = K(x * y,z). K(L(x,y,y),z) = K(x,z). K(x * L(y,z,u),y) = K(x * L(y,z,u),T(y,x)). K(x * L(y,z,u),T(y,x)) = K(x * L(y,z,u),y). T(x,y \ (z \ 1)) = T(x,(z * y) \ 1). T(x,(y * z) \ 1) = T(x,z \ (y \ 1)). T(T(x,K(y,z * (y \ u))),y * (z * (u / y))) = T(x,(z * (u / y)) * y). x * K(x,y \ (z \ 1)) = T(x,(z * y) \ 1). x * y != T(z,(u * w) \ 1) | T(z,w \ (u \ 1)) / y = x. T(x,y \ (z \ 1)) / (z * y) = (((z * y) \ 1) \ 1) \ x. T(x,y \ (z \ 1)) * (z * y) = (1 / (z * y)) \ x. T(x,(y * (y * y)) \ 1) = T(x,y \ (y \ (1 / y))). T(x,(y * z) * z) != u | T(x,z * (z * y)) = u. T(x,(y * y) * z) != u | T(x,y * (y * z)) = u. T(x,(y \ z) * z) != u | T(x,z * (z / y)) = u. T(x,(1 / y) * z) != u | T(x,y \ z) = u. T(x,T(y,T(z,u)) / (u * (z / u))) != w | T(x,(u * (z / u)) \ y) = w. T(x,y * T(1 / z,u)) != w | T(x,y / ((z \ u) \ u)) = w. T(x,y * (y * (z \ 1))) != u | T(x,(y * y) / z) = u. T(x,y / (z \ 1)) != u | T(x,y * z) = u. T(T(x,y * z),K(y,z)) != u | T(x,z * y) = u. K(x,y / (z \ 1)) != u | K(x,y * z) = u. T(x,(y \ 1) * z) != u | T(x,y \ z) = u. T(x,((y \ 1) \ (1 / z)) * u) != w | T(x,(z * (1 / y)) \ u) = w. T(x,y / z) != u | T(x,y * (1 / z)) = u. T(x,y * (y * (z \ 1))) != u | T(x,z \ (y * y)) = u. T(x,((y \ 1) \ 1) \ z) != u | T(x,y \ z) = u. x * y != L(z * (u * u),w,w) | (u * (u * L(z,w,w))) / y = x. (x * (x * L(y,z,z))) / z = (y * (x * x)) * (1 / z). L(x * (x * y),z,z) = x * (x * L(y,z,z)). ((L(x,y,y) \ z) / T(z,x)) * (L(x,y,y) \ 1) = (T(z,x) \ (L(x,y,y) \ z)) * ((L(x,y,y) \ z) / T(z,x)). (T(x,y) \ (L(y,z,z) \ x)) * ((L(y,z,z) \ x) / T(x,y)) = ((L(y,z,z) \ x) / T(x,y)) * (L(y,z,z) \ 1). T(x,T((y * y) * z,u)) = T(x,T(y * (y * z),u)). T(x,y * (z * (1 / y))) != u | T(x,T(z,y)) = u. K(x,y) * T(y,x * z) = T(T(y,x),z * x). T(x,y) * K(x,y * x) != z | R(x,y,x) = z. R(x,y,x) = T(T(x,y),x * y). T(T(x,y),x * y) = R(x,y,x). R(x,x,y) = R(x,y,x). R(x,y,x) = R(x,x,y). L(x,x,y) = R(x,x,y). R(x,x,y) = L(x,x,y). L(L(x,x,y),z,u) * (x * y) = (x * L(x,z,u)) * y. L(x,x,y) \ y = (x \ 1) * y. (x \ 1) * y != z \ y | L(x,x,y) = z. x \ y != (z \ 1) * y | L(z,z,y) = x. L(T(x,y),y,y) != z | T(x,y \ 1) = z. K(x,T(y,z \ (z \ u))) = K(x,T(y,z * (z / u))). K(x,T(T(y * z,y),u)) = K(x,T(z * y,u)). x != K((y \ 1) * z,u) | K(y \ z,u) = x. K(x \ L(y,z,u),y) = K(L(y,z,u) * (x \ 1),y). K(L(x,y,z) * (u \ 1),x) = K(u \ L(x,y,z),x). K(x,(y * z) \ 1) = K(x,z \ (y \ 1)). ((x * (x * L(y,z,z))) \ 1) \ 1 = z * (((x * (x * y)) \ z) \ 1). K(x,T(y / (z \ 1),u)) = K(x,T(y * z,u)). K(x,T(y / z,u)) = K(x,T(y * (1 / z),u)). K(x,T(y * (1 / z),u)) = K(x,T(y / z,u)). (x \ y) * a(x,z,z) = L(x,z,z) \ y. a(x,x,y) * (y \ z) = L(y,x,x) \ z. a(x,y,y) * (x \ z) = L(x,y,y) \ z. a(x,y,y) * z = L(x,y,y) \ (x * z). L(x,y,y) \ (x * z) = a(x,y,y) * z. x * y != L(z,u,u) \ (z * w) | x \ (a(z,u,u) * w) = y. x \ (a(x,y,y) * z) = L(x,y,y) \ z. T(T(x,K(y,z)),y * z) != u | T(x,z * y) = u. T(x,y * (z \ (1 / z))) != u | T(x,z \ (z \ y)) = u. L(x * ((1 / T(y / z,y)) * 1),T(y / z,y),T(y / z,y)) = L(x,T(y / z,y),T(y / z,y)) * (y \ z). (x * L(x,y,z)) * L(u,x,x) = L((x * L(x,y,z)) * u,x,x). L((x * L(x,y,z)) * u,x,x) = (x * L(x,y,z)) * L(u,x,x). L(x * (y * (y * z)),y,y) = L(x,y,y) * ((z * y) * y). x * y != L(((z \ 1) \ u) * w,z,z) | x \ ((z * u) * L(w,z,z)) = y. x \ ((x * y) * L(z,x,x)) = (x \ 1) * (((x \ 1) \ y) * z). K(x,y) * (1 / L(z,u,u)) = L(K(x,y) / z,u,u). x != T(L(y,z,z) \ 1,u) | L(T(y \ 1,u),z,z) = x. L(T(x \ 1,y),z,z) = (y * L(x,z,z)) \ T(y,x). (x * L(y,z,z)) \ T(x,y) = L(T(y \ 1,x),z,z). x != (1 / y) \ (z * z) | z * (z * y) = x. x * (x * ((1 / x) * y)) = T(x * y,x \ y). T(x * y,x \ y) = x * (x * ((1 / x) * y)). x != y * (y * ((1 / y) * z)) | (y \ 1) \ z = x. (x \ 1) \ y = T(x * y,x \ y). T(x * y,x \ y) = (x \ 1) \ y. T(x,y \ (y / z)) != u | T(x,z \ 1) = u. T(x * (x / y),y \ 1) = (x \ 1) \ (x / y). T(x,(y * z) \ y) != u | T(x,z \ 1) = u. T((x * y) * x,y \ 1) = ((x * y) \ 1) \ x. T(x * (y * x),((1 / x) \ y) \ x) = (((1 / x) \ y) \ 1) \ x. ((x \ 1) \ y) * (x \ y) != z | (x \ y) * (x * y) = z. T(x * (x / (1 / y)),y) = (x \ 1) \ (x / (1 / y)). T(((x * y) \ 1) \ x,y \ 1) = (x * y) * x. K(x * (y * x),z \ 1) = K(z,z * ((x * y) * x)). (x \ 1) * (y / (x \ 1)) != z | x * (y * (1 / x)) = z. x * (y * (1 / x)) = y * K(x \ 1,y * x). x * K(y \ 1,x * y) = y * (x * (1 / y)). x * K(x * y,y \ 1) = y * (x * (1 / y)). x * K(x * y,y \ 1) != z | (x * y) * (x / (x * y)) = z. (x * y) * (x / (x * y)) = y * (x * (1 / y)). x * K(x * T(y \ 1,z),T(y \ 1,z) \ 1) = T(y \ 1,z) * (x * (T(1 / y,z) \ 1)). x \ y != (z * u) * (z / (z * u)) | x * (u * (z * (1 / u))) = y. (x * y) * (y * (x * (1 / y))) = x / (1 / (x * y)). T((x * y) * K(z,x * y),K(z,y)) = (x * y) * K(z,y * x). T(x,y) * K(y * L(x,z,u),x) = R(x,y,L(x,z,u)). x != T(y,T(z,u)) | T(T(y,z),K(u,z)) = x. T(T(x,y * (y * z)),K(u,y * (y * z))) = T(x,T((y * y) * z,u)). K(x,y) / L(z,u,u) = L(K(x,y) / z,u,u). L(K(x,y) / z,u,u) = K(x,y) / L(z,u,u). x != (y \ 1) \ (y / (1 / z)) | ((z \ 1) \ y) * y = x. ((x \ 1) \ y) * y = T(y * (y / (1 / x)),x). T(x * (x / (1 / y)),y) = ((y \ 1) \ x) * x. x * y != T(z,u) * K(u * L(z,w,v5),z) | x \ R(z,u,L(z,w,v5)) = y. x \ R(x,y,L(x,z,u)) = K(y * L(x,z,u),x) * K(x,y). K(x * L(y,z,u),y) * K(y,x) = y \ R(y,x,L(y,z,u)). T(x,(T(y,z) / z) * u) != w | T(x,((1 / z) * y) * u) = w. (((x \ (y \ 1)) \ 1) \ 1) * ((x \ (y \ 1)) * T(T(z,(x \ (y \ 1)) \ 1),y * x)) = ((x \ (y \ 1)) \ 1) \ (((x \ (y \ 1)) \ 1) \ z). T(x,T(y * z,z)) != u | T(x,z * y) = u. T(x,y * (T(z,u) \ u)) = T(x,y * (u * (z \ 1))). (x * x) \ (x * (x * y)) = L(y,T(x,z),T(x,z)). L(x,T(y,z),T(y,z)) = (y * y) \ (y * (y * x)). x != (y * z) \ (y * (z * u)) | L(u,z,y) = x. L(x,y,y) = L(x,T(y,z),T(y,z)). L(x,T(y,z),T(y,z)) = L(x,y,y). L(x,T(y,z),T(y,z)) != u | L(x,y,y) = u. (T(x,y) \ 1) * T(z,T(x,y)) = L(z * (1 / T(x,y)),x,x). L(x * (1 / T(y,z)),y,y) = (T(y,z) \ 1) * T(x,T(y,z)). x \ y != L(z,T(u,w),T(u,w)) | x * L(z,u,u) = y. (T(x,y) \ 1) * L(z,x,x) = T(x,y) \ z. T(x,y) * L(z,x,x) = (1 / T(x,y)) \ z. L(x,L(T(y,z),u,w),T(L(y,u,w),z)) = L(x,L(y,u,w),L(y,u,w)). L(x,R(T(y,z),u,w),T(R(y,u,w),z)) = L(x,R(y,u,w),R(y,u,w)). L(x,T(1 / y,z),z / (z * y)) = L(x,1 / y,1 / y). (x \ 1) * y != x \ (x \ z) | (1 / x) * z = y. (1 / T(x,y)) * z = L(T(x,y) \ z,x,x). L(T(x,y) \ z,x,x) = (1 / T(x,y)) * z. (x \ 1) * y != x \ (z / x) | z * (x \ 1) = y. x * (T(y,z) \ 1) = L(x / T(y,z),y,y). L(x / T(y,z),y,y) = x * (T(y,z) \ 1). (T(x,y) \ 1) * (x * z) = T(x,y) \ ((x \ 1) \ z). T(x,y) \ ((x \ 1) \ z) = (T(x,y) \ 1) * (x * z). T(x,y) * L(z,x,x) != u | K(x,y) * T(z * x,x) = u. K(x,y) * T(z * x,x) = (1 / T(x,y)) \ z. L(T(x,y) \ z,x,x) != u | (1 / x) * (K(x,y) * z) = u. (1 / x) * (K(x,y) * z) = (1 / T(x,y)) * z. x \ y != K(z,u) * T(w * z,z) | x * ((1 / T(z,u)) \ w) = y. x * ((1 / T(x,y)) \ z) = (x * T(x,y)) * z. (1 / x) * (T(x,y) * z) = (1 / T(x,y)) * (x * z). (1 / T(x,y)) * (x * z) = (1 / x) * (T(x,y) * z). T(x,y) \ ((x \ 1) \ z) != u | T(x,y) * ((1 / x) * z) = u. T(x,y) * ((1 / x) * z) = (T(x,y) \ 1) * (x * z). (T(x,y) \ 1) * (x * z) = T(x,y) * ((1 / x) * z). x != T(y,z) * ((1 / y) * u) | y * ((1 / T(y,z)) * u) = x. x * ((1 / T(x,y)) * z) = (T(x,y) \ 1) * (x * z). (T(x,y) \ 1) * (x * z) = x * ((1 / T(x,y)) * z). T(x \ 1,y) * (x * z) = x * ((1 / T(x,x * y)) * z). x * ((1 / T(x,x * y)) * z) = T(x \ 1,y) * (x * z). x * (T(1 / x,y) * z) = T(x \ 1,y) * (x * z). T(x \ 1,y) * (x * z) = x * (T(1 / x,y) * z). T(x \ 1,y * x) * (x * z) = x * ((T(x,y) \ 1) * z). (1 / T(x,y)) * (x * z) = x * ((T(x,y) \ 1) * z). (1 / T(x,y)) * (x * z) != u | (1 / x) * (T(x,y) * z) = u. (1 / x) * (T(x,y) * z) = x * ((T(x,y) \ 1) * z). a(x,y,y) * (y * (y * z)) = T(y * y,x) * L(z,y,y). T(x * x,y) * L(z,x,x) = a(y,x,x) * (x * (x * z)). (x * (1 / y)) \ (y \ (y \ x)) = L(y \ 1,1 / y,x). 1 / L((x / y) * x,x \ y,x \ y) = (x \ y) * (1 / x). K((x / y) \ z,x) != u | K((y \ x) \ z,x) = u. x != ((1 / y) * z) \ ((y \ u) / y) | (z \ u) / y = x. (x \ y) / z = L(x \ (y / z),x,z \ 1). L(x \ (y / z),x,z \ 1) = (x \ y) / z. (x * (K(y,z) * u)) / (x * u) = L(K(y,T(T(z,u),x * u)),u,x). L(K(x,T(T(y,z),u * z)),z,u) = (u * (K(x,y) * z)) / (u * z). K(R(x,y,R(x,z,u)),T(w,y * R(x,z,u))) != v5 | K(x,T(w,y)) = v5. x != (y * z) * L(u,y,y) | L(((y \ 1) \ z) * u,y,y) = x. L(((x \ 1) \ y) * y,x,x) = (y * ((y / (1 / x)) / x)) / (1 / x). (x * ((x / (1 / y)) / y)) / (1 / y) = L(((y \ 1) \ x) * x,y,y). K(x,y * (z * (u \ 1))) = K(x,L(y,u,u) * (z / u)). K(x,L(y,z,z) * (u / z)) = K(x,y * (u * (z \ 1))). x != K(y,z * (u * (w \ 1))) | K(y,z * (u * (1 / w))) = x. K(x,y * (z * (1 / u))) = K(x,L(y,u,u) * (z / u)). K(x,L(y,z,z) * (u / z)) = K(x,y * (u * (1 / z))). x \ R(x,y,L(x,z,u)) != w | K(x,y) * K(y * L(x,z,u),x) = w. L(x * (1 / T(y / z,y)),y / z,y / z) = (y \ z) * T(x,T(y / z,y)). x * (y \ x) = L((x / y) * x,x \ y,x \ y). L((x / y) * x,x \ y,x \ y) = x * (y \ x). (T(x,y) \ 1) * ((x \ y) / y) = ((y * x) \ y) * (y \ (x \ y)). ((x * x) \ y) * (x \ (x \ y)) = (x \ (x \ y)) * ((x * x) \ y). (1 / (x \ y)) * (1 / (x \ y)) = (x / y) * (x / y). x != (y / z) * (y / z) | (z \ y) * (z \ y) = x. (x \ y) * (x \ y) = (1 / (y \ x)) * (1 / (y \ x)). (1 / (x \ y)) * (1 / (x \ y)) = (y \ x) * (y \ x). (x \ y) \ (1 / (x \ y)) = (y \ x) * (y \ x). (x \ y) * (x \ y) != z | (y \ x) \ (1 / (y \ x)) = z. (x \ y) \ T(x / y,x) = (y \ x) * (y \ x). ((x \ y) * (x \ y)) * z = ((y \ x) \ 1) * ((y \ x) \ z). ((x \ y) \ 1) * ((x \ y) \ z) = ((y \ x) * (y \ x)) * z. (x \ y) * ((y \ x) * (y \ x)) = T(x / y,x). T(x / y,x) \ (x \ y) = (y \ x) \ ((y \ x) \ 1). x != (y \ z) \ ((y \ z) \ 1) | ((z / y) * z) \ y = x. ((x / y) * x) \ y = T(x / y,x) \ (x \ y). T(x / y,x) \ (x \ y) = ((x / y) * x) \ y. (1 / (x \ y)) \ (x \ y) = ((x / y) * x) \ y. (x \ y) \ ((x \ y) \ z) = z * ((1 / (y \ x)) \ (y \ x)). x * ((1 / (y \ z)) \ (y \ z)) = (z \ y) \ ((z \ y) \ x). x != (y * z) * K(u,z) | y * T(z,u) = x. (x \ y) * T(x \ y,z) = ((y \ x) \ 1) * ((y \ x) \ K(z,x \ y)). ((x \ y) \ 1) * ((x \ y) \ K(z,y \ x)) = (y \ x) * T(y \ x,z). x * y != (z * z) * ((1 / z) * u) | x \ (z * u) = y. ((x \ y) \ 1) \ ((y \ x) * z) = (x \ y) \ ((1 / (y \ x)) * z). ((x \ y) \ 1) \ (((x \ y) \ 1) \ z) = (y \ x) \ ((y \ x) \ z). (T(x,y) \ 1) * ((x \ y) / y) = T(x,y) \ (y \ (y / x)). ((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,x) != u | K(x,y) = u. K(x,y) = K(R(x,z,x),y). K(R(x,y,x),z) = K(x,z). 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). 1 / K(x,y) = K(y,R(x,z,x)). K(x,R(y,z,y)) = 1 / K(y,x). K(x,R(y,z,y)) != u | K(x,y) = u. K(R(x,x \ y,z),u) * (y * z) = (K(x,u) * y) * z. K((x * y) / ((z \ x) * y),u) = R(K(z,u),x,y). K(x,y) = R(K(x,y),T(x,z),u). R(K(x,y),T(x,z),u) = K(x,y). R(K(x,y),z,u) \ 1 != w | K(y,R(x,x \ z,u)) = w. R(K(x,y),x,z) = K(x,y). K(x,y) * (T(x,z) * u) = (K(x,y) * T(x,z)) * u. (K(x,y) * T(x,z)) * u = K(x,y) * (T(x,z) * u). K((x * y) / z,u) = R(K(x / (z / y),u),x,y). R(K(x / (y / z),u),x,z) = K((x * z) / y,u). (K(x,y) * T(x,z)) * u = K(x,z) * (T(x,y) * u). K(x,y) * z = (K(x,u) * T(x,y)) * (T(x,u) \ z). (K(x,y) * T(x,z)) * (T(x,y) \ u) = K(x,z) * u. (K(x,y) * T(x,z)) * u != w | K(x,y) * (T(x,z) * u) = w. K(x,y) * (T(x,z) * (T(x,y) \ u)) = K(x,z) * u. K(x,y) * (K(y,z) * u) = T(y,z) * (T(y,x) \ u). T(x,y) * (T(x,z) \ u) = K(z,x) * (K(x,y) * u). T(x,y) * (T(x,z) \ u) != w | K(x,y) * (K(z,x) * u) = w. K(x,y) * (K(z,x) * u) = K(z,x) * (K(x,y) * u). T(K(x,y) * z,K(y,u)) * K(y,u) = K(x,y) * (K(y,u) * z). K(x,y) * (z * K(x,u)) = (K(x,y) * z) * K(x,u). (K(x,y) * z) * K(x,u) = K(x,y) * (z * K(x,u)). K(x,y / ((K(z,x) * u) * w)) = K(x,y / (u * w)). (K(x,y) * T(z,x)) * K(x,u) != w | (T(x,y) * z) / T(x,u) = w. (T(x,y) * z) / T(x,u) = K(x,y) * (T(z,x) * K(x,u)). K(x,y) * (T(z,x) * K(x,u)) = (T(x,y) * z) / T(x,u). K(x,y / ((K(x,z) * u) * w)) = K(x,y / (u * w)). K(x,y / (((x \ z) * x) * u)) = K(x,y / (z * u)). K(x,y / ((z * x) * u)) = K(x,y / ((x * z) * u)). K(x,y) * (T(z,x) * K(x,u)) != w | T(x,y) \ (z * T(x,u)) = w. T(x,y) \ (z * T(x,u)) = (T(x,y) * z) / T(x,u). (T(x,y) * z) / T(x,u) = T(x,y) \ (z * T(x,u)). (T(x,y) * z) / T(x,x * z) != u | (1 / x) * (T(x,y) * z) = u. (1 / x) * (T(x,y) * z) = T(x,y) \ (z * T(x,x * z)). T(x,y) \ (z * T(x,x * z)) = (1 / x) * (T(x,y) * z). T(x,y) \ ((1 / x) \ z) = (1 / x) * (T(x,y) * z). x != (1 / y) * (T(y,z) * u) | y * ((T(y,z) \ 1) * u) = x. x * ((T(x,y) \ 1) * z) = T(x,y) \ ((1 / x) \ z). T(x,y) \ ((1 / x) \ z) = x * ((T(x,y) \ 1) * z). ((1 / x) * y) * ((1 / x) * y) = (x \ y) * (x \ y). (x * (1 / y)) * (x * (1 / y)) = (y \ x) * (y \ x). (T(x,y) / y) * ((1 / y) * x) = (y \ x) * (y \ x). (x * ((1 / y) * z)) * ((1 / y) * z) = ((y \ z) * (y \ z)) * x. ((x / y) * L(y,z,u)) * T(y,w) != v5 | (x * L(y,z,u)) * K(y,w) = v5. (x * L(y,z,u)) * K(y,w) = (x * K(y,w)) * L(y,z,u). x != (y * K(z,u)) * L(z,w,v5) | y * (K(z,u) * L(z,w,v5)) = x. x * (K(y,z) * L(y,u,w)) = (x * L(y,u,w)) * K(y,z). (x * L(y,z,u)) * K(y,w) = x * (K(y,w) * L(y,z,u)). (x * (K(y,z) * L(y,u,w))) \ (x * L(y,u,w)) != v5 | K(z,y) = v5. (x * (y * z)) \ (x * (y * T(z,u))) = K(L(z,y,x),u). K(x,L(y,z,u)) = (u * (z * y)) \ (u * (z * T(y,x))). (x * (y * z)) \ (x * (y * T(z,u))) = K(u,L(z,y,x)). (x * (y * z)) * K(L(z,y,x),u) = x * (y * T(z,u)). (x * (y * z)) * K(u,L(z,y,x)) = x * (y * T(z,u)). (x * (y * z)) \ (x * (y * T(z,u))) != w | L(K(z,u),y * z,x) = w. L(K(x,y),z * x,u) = K(L(x,z,u),y). L(K(x,y),z,y) != u | K(x,y) = u. K(x,y) = K(L(x,z,y),y). K(L(x,y,z),z) = K(x,z). L(K(x,y),z,x) != u | K(x,y) = u. K(x,y) = K(L(x,z,x),y). K(L(x,y,x),z) = K(x,z). L(K(x,y),y,z) != u | K(x,y) = u. K(x,y * x) = K(L(x,y,z),y * x). K(L(x,y,z),y * x) = K(x,y * x). L(K(x \ y,z),y,u) = K(L(x \ y,x,u),z). L(K(x,y),z,u) = K(L(x,z / x,u),y). K(L(x,y / x,z),u) = L(K(x,u),y,z). K(L(L(x,y,z),u,w),z) = K(L(x,u,w),z). K((x * y) \ z,x) = K(y \ (x \ z),x). T(x,L(y,z,x)) = x / K(y,x). 1 / K(x,y) = K(y,L(x,z,y)). K(x,L(y,z,x)) = 1 / K(y,x). T(x,L(y,z,y)) = x / K(y,x). x != y / K(z,y) | T(y,z) = x. T(x,y) = T(x,L(y,z,x)). T(x,L(y,z,x)) = T(x,y). T(x,(x * y) \ z) = T(x,y \ (x \ z)). K(x,y) = K(x,L(y,z,x)). K(x,L(y,z,x)) = K(x,y). K(x,L(L(y,z,x),u,w)) = K(x,L(y,u,w)). K(x,(x * y) \ z) = K(x,y \ (x \ z)). K(x,y \ (x * z)) = K(x,(x \ y) \ z). 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(x,y) = T(x,L(y,z,y)). T(x,L(y,z,y)) = T(x,y). x != y / K(z,u) | y * K(u,z) = x. x * K(x,y) = T(x,L(y,z,y)). T(x,L(y,z,y)) = x * K(x,y). x \ y != T(z,u) | x * T(z,L(u,w,u)) = y. x * T(y,L(x,z,x)) = y * x. T(x,T(y / z,y)) = T(x,z \ y). T(x,y) = T(x,R(y,z,y)). T(x,R(y,z,y)) = T(x,y). T(x,L(y,y,z)) = T(x,y). x \ y != T(z,L(u,u,w)) | x * T(z,u) = y. L(x,x,y) * T(z,x) = z * L(x,x,y). K(x,L(y,z,y)) = K(x,y). K(x,y) * T(L(y,z,y),x) = L(y,z,y). x * (L(x,y,x) \ z) = (z / L(x,y,x)) * x. (x / L(y,z,y)) * y = y * (L(y,z,y) \ x). K(x,x * y) = K(L(x,y,z),y * x). K(L(x,y,z),y * x) = K(x,x * y). K(L(x,y,z),y * x) != u | K(x,x * y) = u. K(L(x,y / T(x,z),u),w) = L(K(T(x,z),T(w,z)),y,u). L(K(T(x,y),T(z,y)),u,w) = K(L(x,u / T(x,y),w),z). L(K(x,y),z,u) \ 1 != w | K(y,L(x,z / x,u)) = w. K(x,y) * (L(K(z,x),u,w) * v5) = K(L(z,u / z,w),x) * (K(x,y) * v5). K(L(x,y / x,z),u) * (K(u,w) * v5) = K(u,w) * (L(K(x,u),y,z) * v5). K(x \ y,z) = K((z \ x) \ (z \ y),z). K((x \ y) \ (x \ z),x) = K(y \ z,x). K(a(x,T(y,x),z),x) = K((T(y,x) * z) \ (x \ ((y * x) * z)),x). K((T(x,y) * z) \ (y \ ((x * y) * z)),y) = K(a(y,T(x,y),z),y). x * K(y \ (z \ x),z) = y * ((z \ (y \ x)) * z). T(x,y \ z) = T(x,(x \ y) \ (x \ z)). T(x,(x \ y) \ (x \ z)) = T(x,y \ z). K(x,(x * y) \ z) != u | K(x,(y * x) \ z) = u. K(x,(y * x) \ z) = K(x,y \ (x \ z)). (x * ((y / z) / x)) * z = y * K(x,z \ (x \ y)). K(x,y) * L(T(y,x),z,y) = L(y,z,y). K(x \ (y \ (z * y)),y) != u | K(x \ z,y) = u. K((x \ y) \ z,x) = K(y \ (z * x),x). K(x,L(T(y,x),x,z)) = K(x,z \ (x \ (z * (y * x)))). K(x,y \ (x \ (y * (z * x)))) = K(x,L(T(z,x),x,y)). L(K(x,y \ (x \ z)),u * x,w) = K(L(x,u,w),(y * x) \ z). x * y != K(z,u) * L(T(u,z),w,u) | x \ L(u,w,u) = y. x \ L(x,y,x) = T(x,z) \ L(T(x,z),y,x). T(x,y) \ L(T(x,y),z,x) = x \ L(x,z,x). K((x \ y) \ z,x) != u | K((y / x) \ z,x) = u. K((x / y) \ z,y) = K(x \ (z * y),y). K((x \ y) \ (x \ z),x) != u | K(y \ z,x) = u. K(x \ y,z) = K(x \ ((z \ y) * z),z). K(x \ ((y \ z) * y),y) = K(x \ z,y). T(x,(x \ y) \ z) = K(y \ (z * x),x) \ x. K(x \ (y * z),z) \ z = T(z,(z \ x) \ y). K(x \ y,z) = K((x * z) \ (y * z),z). K((x * y) \ (z * y),y) = K(x \ z,y). K(x \ ((y \ z) * y),y) != u | K(x \ z,y) = u. K((x * y) \ z,y) = K(x \ (y \ z),y). K(x \ y,y) = K(L(x \ y,x,z),y). K(L(x \ y,x,z),y) = K(x \ y,y). L(K(x \ (y \ z),u),y \ z,y) = K((y * x) \ z,u). L(K((x \ y) \ z,u),z,x) = K(y \ (x * z),u). L(K(L(x,y,z) \ x,u),x,z * y) = K(a(z,y,x),u). K(x \ (y * z),z) = K((y \ x) \ z,z). K((x \ y) \ z,z) = K(y \ (x * z),z). (x / L(y,z,u)) * y != w | (x * y) / L(y,z,u) = w. (x * y) / L(y,z,y) = y * (L(y,z,y) \ x). K(x,y) * (x \ L(x,z,x)) = x \ L(T(x,y),z,x). T(x,y \ (z * x)) = T(x,(x \ y) \ z). T(x,(x \ y) \ z) = T(x,y \ (z * x)). T(x,(x \ y) \ (x \ z)) != u | T(x,y \ z) = u. T(x,y \ z) = T(x,y \ ((x \ z) * x)). T(x,y \ ((x \ z) * x)) = T(x,y \ z). (x * K(y \ (z \ x),z)) * u = (y * ((z \ (y \ x)) * z)) * u. (x * ((y \ (x \ z)) * y)) \ z != u | K(y,x \ (y \ z)) = u. (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)). (x * (y * z)) \ (x * (y * T(z,u))) != w | K(L(z,y,x),u) = w. (x * (y * z)) * K(L(z,y,x),y) = x * (z * y). (x * (y * z)) * K(z,L(y,z,x)) = x * (z * y). K(x,(y * (x * z)) \ u) = K(x,(y * (z * x)) \ u). K(x,(y * (z * x)) \ u) = K(x,(y * (x * z)) \ u). K(x,(y * ((x \ z) * x)) \ u) = K(x,(y * z) \ u). L(K(x,(y * (x * z)) \ u),w * x,v5) = K(L(x,w,v5),(y * (z * x)) \ u). (x * (y \ (y \ 1))) * K(z,L(1 / y,y \ 1,x)) = x * ((y \ 1) * T(1 / y,z)). T(x,y * (z * T(u,x))) = T(x,y * (z * u)). T(x,y * (z * (x \ u))) = T(x,y * (z * (u / x))). T(x,y * (z * (u / x))) = T(x,y * (z * (x \ u))). K(x,y \ (x \ (y * (z * x)))) != u | K(x,L(z,x,y)) = u. L(K(x * (y \ z),u),y \ z,y) = K((y * (x \ 1)) \ z,u). L(K(x,y),z,u) = K(L(x,z / T(x,w),u),y). K(L(x,y / T(x,z),u),w) = L(K(x,w),y,u). K(L(x,y,z),u) = L(K(x,u),x * y,z). L(K(x,y),x * z,u) = K(L(x,z,u),y). K(L(x,x \ y,z),u) = L(K(x,u),y,z). K(x,x * y) = K(L(x,y,z),x * y). K(L(x,y,z),x * y) = K(x,x * y). L(K(x,y),K(z,x) * u,w) = K(L(x,T(x,z) \ u,w),y). L(K(x,y),T(x,z) * u,w) = K(L(T(x,z),u,w),T(y,z)). x != K(L(T(y,z),u,w),T(v5,z)) | K(L(y,u,w),v5) = x. K(L(x,y,z),u) = L(K(x,u),T(x,w) * y,z). L(K(x,y),T(x,z) * u,w) = K(L(x,u,w),y). L(K(x,y),z,u) = K(L(x,T(x,w) \ z,u),y). K(L(x,T(x,y) \ z,u),w) = L(K(x,w),z,u). x != L(y,1,z) | y = x. 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,T(x,y) \ z,u),w) != v5 | L(K(x,w),K(y,x) * z,u) = v5. L(K(x,y),K(z,x) * u,w) = L(K(x,y),u,w). 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(y,z) * K(z,u)). (x * K(y,z)) * R(K(z,u),w,v5) = x * (K(y,z) * R(K(z,u),w,v5)). L(K(x,y),z * K(u,x),w) = L(K(x,y),z,w). R(x,K(y,z),K(z,u)) = x. (x * K(y,z)) * K(z,z * y) != u | (x / R(z,y,z)) * z = u. (x / R(y,z,y)) * y = x * (K(z,y) * K(y,y * z)). x * (K(y,z) * K(z,z * y)) = (x / R(z,y,z)) * z. (x * K(y * z,y)) * K(y,z) != u | (x * y) / L(y,z,y) = u. (x * y) / L(y,z,y) = x * (K(y * z,y) * K(y,z)). x * (K(y * z,y) * K(y,z)) = (x * y) / L(y,z,y). (K(x,y) * (K(y,z) * u)) / u = K(x,y) * K(y,z). (x * K(y,z)) * K(z,u) = x * (K(z,u) * K(y,z)). R((x * K(y,z)) / u,u,K(z,y)) != w | x / (u * K(z,y)) = w. x / (K(y,z) * K(z,u)) = (x * K(u,z)) / K(y,z). (x * K(y,z)) / K(u,z) = x / (K(u,z) * K(z,y)). R(x,L(K(y,z),u,w),K(z,v5)) = x. x * (L(K(y,z),u,w) * K(z,v5)) = (x * L(K(y,z),u,w)) * K(z,v5). (x * L(K(y,z),u,w)) * K(z,v5) = x * (L(K(y,z),u,w) * K(z,v5)). (x * y) \ ((x * (y * K(z,u))) * K(u,w)) = L(K(z,u),y,x) * K(u,w). (K(x,y) * K(y,z)) * u = K(x,y) * (K(y,z) * u). (x * K(y,z)) * K(z,u) = x / (K(u,z) * K(z,y)). x / (K(y,z) * K(z,u)) = (x * K(u,z)) * K(z,y). x != (y * K(z,u)) * K(u,w) | y * (K(z,u) * K(u,w)) = x. x * (K(y,z) * K(z,u)) = x / (K(u,z) * K(z,y)). x / (K(y,z) * K(z,u)) = x * (K(u,z) * K(z,y)). K(x,(x * y) \ z) != u | K(x,y \ (x \ z)) = u. (x * (K(y,z) * u)) / (x * u) = K((x * u) / (x * (y \ u)),z). K((x * y) / (x * (z \ y)),u) = (x * (K(z,u) * y)) / (x * y). x != T(y,(z * z) * u) | T(y,z * (z * u)) = x. T(x,y * (y * z)) = ((z * y) * y) * (x * (((y * y) * z) \ 1)). ((x * y) * y) * (z * (((y * y) * x) \ 1)) = T(z,y * (y * x)). K(K(x,y),z) * (K(x,y) * T(u * K(y,x),w)) = T(K(y,x) * u,w) * T(K(x,y),T(z,T(K(y,x) * u,w))). T(K(x,y) * z,u) * T(K(y,x),T(w,T(K(x,y) * z,u))) = K(K(y,x),w) * (K(y,x) * T(z * K(x,y),u)). (x \ (y \ 1)) * (x \ y) = (x \ y) * ((y * (y * x)) \ y). (x \ y) * ((y * (y * x)) \ y) = (x \ (y \ 1)) * (x \ y). T(1 / x,T(y,x)) = (x \ y) / (x * (y * (1 / x))). (x \ y) / (x * (y * (1 / x))) = T(1 / x,T(y,x)). x != T(1 / y,T(z,y)) | T(1 / y,z) = x. T(1 / x,y) = (x \ y) / (x * (y * (1 / x))). (x \ y) / (x * (y * (1 / x))) = T(1 / x,y). (x \ y) * ((x \ y) / (x * (y * (1 / x)))) = x \ (x \ y). ((x * K(y,z)) * u) \ (x * u) = K(z,((x / y) * u) \ (x * u)). K(x,((y / z) * u) \ (y * u)) = ((y * K(z,x)) * u) \ (y * u). T(K(x,y) * z,u) \ T(z,u) = K(y,T(x \ z,u) \ T(z,u)). K(x,T(y \ z,u) \ T(z,u)) = T(K(y,x) * z,u) \ T(z,u). x != (T(y,z) / z) * ((1 / z) * y) | (z \ y) * (z \ y) = x. (x \ y) * (x \ y) = (x \ T(y,x)) * (x \ T(y,x)). (x \ T(y,x)) * (x \ T(y,x)) = (x \ y) * (x \ y). ((x * x) \ y) * ((x * x) \ y) = (x \ (x \ y)) * (x \ (x \ y)). (x \ 1) \ ((x \ 1) / y) = ((y \ x) \ 1) \ (x \ 1). ((x \ y) \ 1) \ (y \ 1) = (y \ 1) \ ((y \ 1) / x). x != (y \ 1) \ ((y \ 1) / z) | y \ (y / z) = x. x \ (x / y) = ((y \ x) \ 1) \ (x \ 1). ((x \ y) \ 1) \ (y \ 1) = y \ (y / x). x != K(K(y,z),u) | K(y,K(z,u)) = x. K(x,K(y,x * z)) = (K(x,y) * (x * z)) / (x * (z * K(x,y))). (K(x,y) * (x * z)) / (x * (z * K(x,y))) = K(x,K(y,x * z)). T(x * y,y) * ((1 / y) \ x) != z | (x * y) * (x * y) = z. (x * y) * (x * y) = y * ((x * T(x,y \ 1)) * y). x * ((y * T(y,x \ 1)) * x) = (y * x) * (y * x). x != K(y,z) * (u * K(y,z)) | T(u,K(y,z)) = x. T(x * y,K(z,u)) = (K(z,u) * x) * (y * K(z,u)). (K(x,y) * z) * (u * K(x,y)) = T(z * u,K(x,y)). x * (y * K(z,u)) = T((K(z,u) * x) * y,K(z,u)). T((K(x,y) * z) * u,K(x,y)) = z * (u * K(x,y)). x * (y * K(z,u)) != T(w,K(z,u)) | (K(z,u) * x) * y = w. T(x,K(y,z)) != u * (w * K(y,z)) | (K(y,z) * u) * w = x. (x * (y * K(z,u))) * K(z,u) = K(z,u) * ((K(z,u) * x) * y). (x * (y * K(z,u))) * K(z,u) != w | K(z,u) * ((K(z,u) * x) * y) = w. T(x \ (x \ (x \ (x \ 1))),y) = T(x * (x * (x * x)),y) \ 1. (x * (y \ (1 / y))) * (z * x) = x * (((y \ 1) * (y \ z)) * x). x / (T(x,x \ 1) * y) = (1 / (y * x)) / (x \ 1). (1 / (x * y)) / (y \ 1) = y / (T(y,y \ 1) * x). (1 / (x * y)) / (y \ 1) != z | (1 / y) / (y \ x) = z. (1 / x) / (x \ y) = x / (T(x,x \ 1) * y). x / (T(x,x \ 1) * y) = (1 / x) / (x \ y). (x * (y \ (1 / y))) * K(z,y \ 1) = (x / y) * T(1 / y,z). (x * y) * T(x * y,y * y) = (y * y) * (y * ((x / y) * x)). T(T(x,y \ 1),x * y) = (x * y) \ (x * ((1 / y) \ x)). (x * y) \ (x * ((1 / y) \ x)) = T(T(x,y \ 1),x * y). a(x * (y \ (1 / x)),z,u) = a(x * (1 / (x * y)),z,u). a(x * (1 / (x * y)),z,u) = a(x * (y \ (1 / x)),z,u). (((x * y) \ (x * x)) \ x) * x != z | x * T(y,y \ (x * x)) = z. (((x * y) \ (x * x)) \ x) * x = x * (x * ((y \ x) \ 1)). x != y * (y * (z \ 1)) | z \ (y * y) = x. (x \ y) \ (y * y) = (((y * x) \ (y * y)) \ y) * y. (((x * y) \ (x * x)) \ x) * x = (y \ x) \ (x * x). (x \ 1) * ((x * y) * z) = (y * (z * (x \ 1))) * x. (x * (y * (z \ 1))) * z = (z \ 1) * ((z * x) * y). (x * T(y,z \ 1)) * z = (z \ 1) * ((z * x) * (z * y)). (x \ 1) * ((x * y) * (x * z)) = (y * T(z,x \ 1)) * x. (x \ 1) * ((x * y) * (x * y)) != z | (x * y) * T(y,x \ 1) = z. (x * y) * T(y,x \ 1) = (y * T(y,x \ 1)) * x. (x * T(x,y \ 1)) * y = (y * x) * T(x,y \ 1). x * ((x * y) * T(y,x \ 1)) = (y * x) * (y * x). x * ((y / (x \ 1)) * y) = (y * x) * (y * x). x * ((y / (x \ 1)) * y) != z | ((x \ 1) \ y) * ((x \ 1) \ y) = z. ((x \ 1) \ y) * ((x \ 1) \ y) = (y * x) * (y * x). (x \ (y \ 1)) \ (1 / (x \ (y \ 1))) = (x * y) * (x * y). (x * (x * (x * (x * y)))) / z = (y * ((x * x) * (x * x))) / z. (x * ((y * y) * (y * y))) / z = (y * (y * (y * (y * x)))) / z. (x \ 1) * (((x * y) \ 1) / y) = x * (((1 / (x * y)) * (1 / (x * y))) / x). x * (((1 / (x * y)) * (1 / (x * y))) / x) = (x \ 1) * (((x * y) \ 1) / y). L(x,T(y,x),y) \ 1 = T(1 / x,y * (x * y)). T(1 / x,y * (x * y)) = L(x,T(y,x),y) \ 1. (x * y) * x = (y * y) * (y * ((y \ x) * (y \ x))). (x * x) * (x * ((x \ y) * (x \ y))) = (y * x) * y. (x * x) * ((y / x) * y) = (y * x) * y. x \ y != (z * z) * ((u / z) * u) | x * ((u * z) * u) = y. (x \ 1) * ((y * x) * y) = x * ((y / x) * y). (1 / x) \ ((y * x) * y) = x * (x * (x * ((y / x) * y))). x * (x * (x * ((y / x) * y))) = (1 / x) \ ((y * x) * y). x * ((y * (1 / x)) * y) = (1 / x) * ((y / (1 / x)) * y). (1 / x) * ((y / (1 / x)) * y) = x * ((y * (1 / x)) * y). (1 / x) * ((y / (1 / x)) * y) != z | x * ((y * (1 / x)) * y) = z. (x * ((1 / y) \ x)) * (1 / y) = y * ((x * (1 / y)) * x). ((x / (y \ 1)) / (1 / x)) * (1 / y) = y * ((x * (1 / y)) * x). x != ((L(y,z,u) \ 1) \ 1) / y | (y \ 1) * L(y,z,u) = x. (x \ 1) * L(x,y,z) = 1 / T((L(x,y,z) \ 1) * x,x). 1 / T((L(x,y,z) \ 1) * x,x) = (x \ 1) * L(x,y,z). 1 / T(x * (1 / L(x,y,z)),x) = (x \ 1) * L(x,y,z). 1 / (x * (1 / L(x,y,z))) = (x \ 1) * L(x,y,z). T(x,y) != T((1 / (1 / y)) * z,y) \ y | (y * ((1 / y) * z)) \ 1 = x. (x * ((1 / x) * y)) \ 1 = x * ((1 / x) * (y \ 1)). (x * x) * y != z | (x \ (x \ 1)) \ y = z. (x \ (x \ 1)) \ (((x * x) \ y) * z) = x * (((x \ y) * (z * x)) / x). x != y \ (((z \ (y / u)) * z) * u) | K((y \ (z * u)) \ 1,z) = x. K((x \ (y * z)) \ 1,y) = K((x \ (y / (z \ 1))) \ 1,y). K((x \ (y / (z \ 1))) \ 1,y) = K((x \ (y * z)) \ 1,y). K((x / (y \ 1)) \ z,x) = K((z \ (x * y)) \ 1,x). K((x \ (y * z)) \ 1,y) = K((y / (z \ 1)) \ x,y). K((x * y) \ z,x) = K((x / (y \ 1)) \ z,x). K((x / (y \ 1)) \ z,x) = K((x * y) \ z,x). K(((x \ 1) \ y) \ z,y) = K((y * x) \ z,y). x != K((y * z) \ u,y) | K(z \ (y \ u),y) = x. K(x \ (y \ z),y) = K(((x \ 1) \ y) \ z,y). K(((x \ 1) \ y) \ z,y) = K(x \ (y \ z),y). K((((x \ 1) \ 1) \ y) \ z,u) != w | K((x \ y) \ z,u) = w. K((x \ y) \ z,y) = K((x \ 1) \ (y \ z),y). K((x \ 1) \ (y \ z),y) = K((x \ y) \ z,y). K((x \ 1) \ y,z) = K((x \ z) \ (y * z),z). K((x \ y) \ (z * y),y) = K((x \ 1) \ z,y). T(x,(y \ x) \ (z * x)) = 1 / (x \ K((y \ 1) \ z,x)). x != 1 / (y \ K(z,y)) | T(y,z) = x. T(x,(y \ 1) \ z) = T(x,(y \ x) \ (z * x)). T(x,(y \ x) \ (z * x)) = T(x,(y \ 1) \ z). T(x,y \ ((x \ z) * x)) != u | T(x,y \ z) = u. T(x,(y \ x) \ z) = T(x,(y \ 1) \ (x \ z)). T(x,(y \ 1) \ (x \ z)) = T(x,(y \ x) \ z). x * y != T(z,(u \ 1) \ (z \ w)) | x \ T(z,(u \ z) \ w) = y. x \ T(x,(y \ x) \ z) = K(x,(y \ 1) \ (x \ z)). K(x,(y \ 1) \ (x \ z)) = x \ T(x,(y \ x) \ z). K(x,(y \ x) \ z) = K(x,(y \ 1) \ (x \ z)). K(x,(y \ 1) \ (x \ z)) = K(x,(y \ x) \ z). K(x,(y \ 1) \ z) != u | K(x,y * z) = u. K(x,y * (x \ z)) = K(x,(y \ x) \ z). K(x,(y \ x) \ z) = K(x,y * (x \ z)). K(x,(y \ x) \ (x * z)) = K(x,y * z). (x \ 1) * (x \ (K(y,1 / x) * z)) = T(x \ 1,y) * (x \ z). K(x \ y,x) * K(z,y / x) != u | x \ (y / T(y / x,z)) = u. x \ (y / T(y / x,z)) = K(z,y / x) * K(x \ y,x). K(x,y / z) * K(z \ y,z) = z \ (y / T(y / z,x)). (x / y) \ (z * (y \ x)) = T(z,x / y) * K(y \ x,y). T(x,y / z) * K(z \ y,z) = (y / z) \ (x * (z \ y)). x * K(y,z) != K(y,z) * T(T(z,u),w) | T(T(z,u),w) = x. T(T(x,y),x \ z) = T(T(x,y),z / x). T(T(x,y),z / x) = T(T(x,y),x \ z). x * y != T(z,u / w) * K(w \ u,w) | x \ ((u / w) \ (z * (w \ u))) = y. x \ ((y / z) \ (x * (z \ y))) = K(x,y / z) * K(z \ y,z). T(x,K(y,z)) * x = (K(y,z) * x) * (K(y,z) * x). (K(x,y) * z) * (K(x,y) * z) = T(z,K(x,y)) * z. x != T(y,z) * y | y * T(y,z) = x. x * T(x,K(y,z)) = (K(y,z) * x) * (K(y,z) * x). (K(x,y) * z) * (K(x,y) * z) = z * T(z,K(x,y)). (x * K(y,z)) * (x * K(y,z)) = x * T(x,K(y,z)). T(x,y * T(y,K(z,u))) = L(x,y * K(z,u),y * K(z,u)). L(x,y * K(z,u),y * K(z,u)) = T(x,y * T(y,K(z,u))). x \ K(y,z) != u \ T(y,z) | 1 / (u \ y) = x. 1 / (L(T(x,y),z,u) \ x) = x \ L(T(x,y),z,u). (x \ (y \ 1)) * (x \ (y \ 1)) = (x \ (1 / y)) * (x \ (1 / y)). (x \ (1 / y)) * (x \ (1 / y)) = (x \ (y \ 1)) * (x \ (y \ 1)). (x \ (1 / y)) * (x \ (1 / y)) != z | (x \ (y \ 1)) * (x \ (y \ 1)) = z. x != K(y,z) * T(u,K(w,y)) | T(K(y,z) * u,K(w,y)) = x. T(K(x,T(y,z)) * u,K(y,x)) = K(x,K(y,z)) * (u * K(x,y)). x * y != (y * z) * T(y * u,y) | y * (z * u) = x. x * (y * (z * (1 / x))) = (x * (1 / ((x * y) * z))) \ 1. (x * (1 / ((x * y) * z))) \ 1 = x * (y * (z * (1 / x))). (x \ 1) * T((x * y) * z,x) = x * (y * (z * (1 / x))). x != (y * y) * (L(z,y,y) * u) | y * (y * (z * L(u,y,y))) = x. x * (x * (y * L(z * (1 / (x * x)),x,x))) = ((x * x) * (1 / (((x * x) * L(y,x,x)) * z))) \ 1. ((x * x) * (1 / (((x * x) * L(y,x,x)) * z))) \ 1 = x * (x * (y * L(z * (1 / (x * x)),x,x))). K(x,y * (z * (u * (w * (1 / z))))) = K(x,y / (z * (1 / ((z * u) * w)))). K(x,y / (z * (1 / ((z * u) * w)))) = K(x,y * (z * (u * (w * (1 / z))))). (x \ ((x * y) * z)) * (1 / x) = y * (z * (1 / x)). (1 / x) * (x * (y * (z * (1 / x)))) = (x \ 1) * ((1 / x) * T((x * y) * z,x)). (x \ 1) * ((1 / x) * T((x * y) * z,x)) = (1 / x) * (x * (y * (z * (1 / x)))). (x * (y * (1 / z))) / (1 / z) = z \ ((z * x) * y). (x \ (y * z)) * (1 / x) = (x \ y) * (z * (1 / x)). x * ((y * (z * (1 / x))) * x) = ((1 / x) \ (x \ ((x * y) * z))) * 1. ((1 / x) \ (x \ ((x * y) * z))) * 1 = x * ((y * (z * (1 / x))) * x). T(x * (y * (1 / z)),z) = (z \ 1) * (z \ ((z * x) * y)). (x \ 1) * (x \ ((x * y) * z)) = T(y * (z * (1 / x)),x). x != (1 / y) \ (((1 / y) * z) * u) | (z * (u * y)) / y = x. (x * (y * z)) / z = (x * (y * (1 / (1 / z)))) / (1 / (1 / z)). (x * (y * (1 / (1 / z)))) / (1 / (1 / z)) = (x * (y * z)) / z. (x * (y / z)) / (1 / z) = z \ ((z * x) * L(y,z,z)). x \ ((x * y) * L(z,x,x)) = (y * (z / x)) / (1 / x). (x * ((y * y) / z)) / (1 / z) = z \ ((z * x) * (y * y)). x \ ((x * y) * L(z,x,x)) != u | (x \ 1) * (((x \ 1) \ y) * z) = u. (x \ 1) * (((x \ 1) \ y) * z) = (y * (z / x)) / (1 / x). L(x \ 1,y,y) \ T(z * (u * (1 / x)),x) = a(x \ 1,y,y) * (x \ ((x * z) * u)). (x * ((y * y) / z)) / (1 / z) = z \ (y * (y * (z * x))). (x \ 1) * ((y * (z / (x \ 1))) / (1 / (x \ 1))) = (1 * (((((x \ 1) \ 1) \ y) * z) / x)) / (1 / x). (1 * (((((x \ 1) \ 1) \ y) * z) / x)) / (1 / x) = (x \ 1) * ((y * (z / (x \ 1))) / (1 / (x \ 1))). x != L(y,z,z) \ u | a(y,z,z) * (y \ u) = x. a(x,y,y) * (x \ (z * (z * (L(x,y,y) * u)))) = (u * ((z * z) / L(x,y,y))) / (1 / L(x,y,y)). (x * ((y * y) / L(z,u,u))) / (1 / L(z,u,u)) = a(z,u,u) * (z \ (y * (y * (L(z,u,u) * x)))). (x * (y * ((z \ 1) \ 1))) * (1 / z) = z * (((z \ 1) * x) * y). L(x,y,y) != z | (x / y) / (1 / y) = z. (((((x \ 1) \ 1) \ y) * z) / x) / (1 / x) = ((x \ 1) * y) * L(z,x,x). L(L(K(x,y) / x,z,z) * y,z,z) = L(y,z,z) / x. L(L(K(x,y) / y,z,z) * x,z,z) = L(x,z,z) / y. L((K(x,y) / L(y,z,z)) * x,z,z) = L(x,z,z) / y. L(x / L(y,z,z),z,z) = L(x,z,z) / y. x * L(T(y,x) \ 1,z,z) = L(y \ L(x,z,z),z,z). L(x \ L(y,z,z),z,z) = y * L(T(x,y) \ 1,z,z). L(x \ L(y,z,z),z,z) = y * (L(T(x,y),z,z) \ 1). x != y * (L(T(z,y),u,w) \ 1) | L(z,u,w) \ y = x. L(x,y,y) \ z = L(x \ L(z,y,y),y,y). L(x \ L(y,z,z),z,z) = L(x,z,z) \ y. L(L(x,y,y) \ z,y,y) = x \ L(z,y,y). L(a(x \ 1,y,y),x,K(z,u)) = a(y,y,K(z,u) * x). L(a(x,y,y),x,K(z,u)) = a(y,y,K(z,u) * x). a(x,x,K(y,z) * u) != L(w,u,K(y,z)) | a(u,x,x) = w. L(x,y,K(z,u)) != a(w,w,K(z,u) * y) | a(y,w,w) = x. T(x,y \ (z \ (y / z))) = T(x,z \ T(z \ 1,y)). T(x,y \ T(y \ 1,z)) = T(x,z \ (y \ (z / y))). T(T(x,y \ z),K(u,y \ z)) = T(x,T((y \ 1) * z,u)). T(x,T((y \ 1) * z,u)) != w | T(x,T(y \ z,u)) = w. T(x,T(y \ (z \ 1),u)) = T(x,T((y \ 1) / z,u)). T(x,T((y \ 1) / z,u)) = T(x,T(y \ (z \ 1),u)). T(x,T(((1 / y) \ z) * u,y)) != w | T(x,y * (y * (z * (u / y)))) = w. a(x,y * z,y * z) = K(x,z * (y * ((1 / z) \ y))). K(x,y * (z * ((1 / y) \ z))) = a(x,z * y,z * y). L((L(x,y,z) * x) * u,x,x) = (x * L(x,y,z)) * L(u,x,x). L(x * (L(x,y,z) * u),x,x) = (x * L(x,y,z)) * L(L(u,L(x,y,z),x),x,x). (x * L(x,y,z)) * L(L(u,L(x,y,z),x),x,x) = L(x * (L(x,y,z) * u),x,x). T(x * (y * x),x * ((y * x) \ 1)) = (((1 / x) \ y) \ 1) \ x. T((x * y) * K(z,x * y),K(z,y)) != (x * y) * u | K(z,y * x) = u. (T(x,y) \ 1) * ((x \ y) / y) != z | T(x,y) \ (y \ (y / x)) = z. T(x,y) \ (y \ (y / x)) = ((y * x) \ y) * (y \ (x \ y)). ((x * y) \ x) * (x \ (y \ x)) = T(y,x) \ (x \ (x / y)). x != (y \ z) \ ((1 / (z \ y)) * u) | (u / (z \ y)) * ((y \ z) \ 1) = x. (x / (y \ z)) * ((z \ y) \ 1) = ((z \ y) \ 1) \ ((y \ z) * x). ((x \ y) \ 1) \ ((y \ x) * z) = (z / (y \ x)) * ((x \ y) \ 1). ((x \ y) \ 1) \ (y \ (y / x)) = (y \ x) \ ((y \ x) \ (y \ 1)). K(x,y) * (K(y,z) * u) != w | K(y,z) * (K(x,y) * u) = w. (x * K(y * z,y)) * K(y,z) = K(y * z,y) * (K(y,z) * x). T(x,y) \ (T(x,z) * u) != w | K(x,z) * (K(y,x) * u) = w. (x * y) * ((1 / x) * y) = ((x \ y) * (x \ y)) * (x * x). ((x \ y) * (x \ y)) * (x * x) = (x * y) * ((1 / x) * y). ((x * x) * (x \ y)) * (x \ y) = (x * y) * ((1 / x) * y). x * (x * ((x \ y) * (x \ y))) = (x * y) * ((1 / x) * y). ((x \ 1) \ y) * (x \ y) = (x * y) * ((1 / x) * y). x * ((y / x) * y) = (x * y) * ((1 / x) * y). (x * y) * ((1 / x) * y) = x * ((y / x) * y). (x * y) * ((1 / x) * y) != z | ((x \ 1) \ y) * (x \ y) = z. ((x \ 1) \ y) * (x \ y) = x * ((y / x) * y). (x \ y) * (x * y) = x * ((y / x) * y). ((1 / x) \ T(y,x \ 1)) * (y * (1 / x)) = (1 / x) * ((T(y,x \ 1) / (1 / x)) * T(y,x \ 1)). (1 / x) * ((T(y,x \ 1) / (1 / x)) * T(y,x \ 1)) = ((1 / x) \ T(y,x \ 1)) * (y * (1 / x)). (x \ (T(y,x) \ 1)) * (x * (T(y,x) \ 1)) = x * (T(y \ (x \ 1),x) * (T(y,x) \ 1)). x * (x * ((x \ 1) \ ((y / x) * y))) = (x * x) * ((x \ y) * (x * y)). (x * K((y \ 1) \ (z \ x),z)) * u = (y \ ((z \ (y * x)) * z)) * u. (x \ ((y \ (x * z)) * y)) * u = (z * K((x \ 1) \ (y \ z),y)) * u. L(K(x,y),z * x,u) != w | K(L(x,z,u),y) = w. K(L(x,y,z),L(u,w,x)) != v5 | K(L(x,y,z),u) = v5. K(L(x,y,z),(u * x) \ w) != v5 | K(L(x,y,z),u \ (x \ w)) = v5. K(x,(y * z) / (y * (u \ z))) * (y * (K(u,x) * z)) = y * z. ((x * y) * y) * (z * (((y * y) * x) \ 1)) = T(z,x * (y * y)). x \ y != ((z * K(u,w)) * v5) \ (z * v5) | x * K(w,((z / u) * v5) \ (z * v5)) = y. ((x * K(y,z)) * u) * K(z,((x / y) * u) \ (x * u)) = x * u. x \ y != T(K(z,u) * w,v5) \ T(w,v5) | x * K(u,T(z \ w,v5) \ T(w,v5)) = y. T(K(x,y) * z,u) * K(y,T(x \ z,u) \ T(z,u)) = T(z,u). x * ((x \ (x \ y)) * (x \ (x \ y))) = ((x * x) \ y) * (y / x). (T(x,y) * z) / (x * (z * K(x,y))) = K(x,K(y,x * z)). x != K(y,K(z,u * w)) | K(K(z,y),T(u,z) * w) = x. K(K(x,y),T(y,x) * z) = (T(y,x) * z) / (y * (z * K(y,x))). (T(x,y) * z) / (x * (z * K(x,y))) = K(K(y,x),T(x,y) * z). x != (y * (y * (y * (y * z)))) / z | y * (y * (y * y)) = x. x * (x * (x * x)) = (y * ((x * x) * (x * x))) / y. (x * ((y * y) * (y * y))) / x = y * (y * (y * y)). (x * (y * (y * (y * y)))) / x = y * (y * (y * y)). T(x * (x * (x * x)),y) = x * (x * (x * x)). T(x \ (x \ (x \ (x \ 1))),y) = (x * (x * (x * x))) \ 1. x != (y * (z * (z * y))) \ 1 | z \ (z \ (y \ (y \ 1))) = x. x \ (x \ (x \ (x \ 1))) = T(x \ (x \ (x \ (x \ 1))),y). T(x \ (x \ (x \ (x \ 1))),y) = x \ (x \ (x \ (x \ 1))). (x \ 1) * (x \ (K(1 / x,y) * z)) = T(x \ 1,y) * (x \ z). x != K(y,z / u) * K(u \ z,u) | u \ (z / T(z / u,y)) = x. x \ (y / T(y / x,z)) = z \ ((y / x) \ (z * (x \ y))). x \ ((y / z) \ (x * (z \ y))) = z \ (y / T(y / z,x)). K(x,y) * T(K(y,K(x,z)) * (u * K(y,x)),w) = T(K(y,T(x,z)) * u,w) * K(x,y). (x * (y * ((z \ 1) \ 1))) / (1 / (1 / z)) = (x * (y * z)) / z. (L(x,y,y) * (z * ((y \ 1) \ 1))) * (1 / y) = y * ((y \ x) * z). K(x,y * (((y \ 1) * z) * u)) = K(x,(z * (u * ((y \ 1) \ 1))) / y). K(x,(y * (z * ((u \ 1) \ 1))) / u) = K(x,u * (((u \ 1) * y) * z)). L(L(x,y,z) * (x * u),x,x) = (x * L(x,y,z)) * L(L(u,x,L(x,y,z)),x,x). (x * L(x,y,z)) * L(L(u,x,L(x,y,z)),x,x) = L(L(x,y,z) * (x * u),x,x). T(x * (y * x),x / (y * x)) = (((1 / x) \ y) \ 1) \ x. T(x,y / (z * y)) != u | T(x,z \ 1) = u. T(x * (y * x),y \ 1) = (((1 / x) \ y) \ 1) \ x. x != (((1 / y) \ z) \ 1) \ y | y / (1 / (z * y)) = x. x / (1 / (y * x)) = T(x * (y * x),y \ 1). T(x * (y * x),y \ 1) = x / (1 / (y * x)). T(x * (y * x),y \ 1) != z | (x * T(x,y)) * T(y,y \ 1) = z. (x * T(x,y)) * T(y,y \ 1) = x / (1 / (y * x)). x * (y / (1 / (x * y))) = ((x \ 1) \ (y * T(y,x))) * x. ((x \ 1) \ (y * T(y,x))) * x = x * (y / (1 / (x * y))). ((x \ 1) \ (y * T(y,x))) * x != z | (x * x) * (x * ((y / x) * y)) = z. (x * x) * (x * ((y / x) * y)) = x * (y / (1 / (x * y))). ((x \ y) * ((y \ x) * z)) * (x \ y) = z / (y \ x). x * y != (z * u) / u | z / y = x. x / (y \ z) = (y \ z) * ((z \ y) * (x * (z \ y))). (x \ y) * ((y \ x) * (z * (y \ x))) = z / (x \ y). x * y != ((z \ u) * ((u \ z) * w)) * (z \ u) | x \ (w / (u \ z)) = y. (x \ y) \ (z / (y \ x)) = ((y \ x) * z) / ((x \ y) \ 1). ((x \ y) * z) / ((y \ x) \ 1) = (y \ x) \ (z / (x \ y)). ((x \ y) * z) * (x \ y) = ((y \ x) \ z) / (y \ x). ((x \ y) \ z) / (x \ y) = ((y \ x) * z) * (y \ x). (x \ y) \ (z / (x \ y)) = (y \ x) * (z * (y \ x)). x * y != ((x * z) * u) / x | z * (u * (x \ 1)) = y. x * (y * ((z \ u) \ 1)) = (u \ z) * ((((z \ u) * x) * y) * (u \ z)). (x \ y) * ((((y \ x) * z) * u) * (x \ y)) = z * (u * ((y \ x) \ 1)). ((x \ y) \ 1) \ z = ((y \ x) \ (z / (x \ y))) / (y \ x). ((x \ y) \ (z / (y \ x))) / (x \ y) = ((y \ x) \ 1) \ z. (x / y) \ (z / ((y * (y / x)) \ y)) = (y \ (y * (y / x))) * (z * (y \ (y * (y / x)))). (x \ (x * (x / y))) * (z * (x \ (x * (x / y)))) = (y / x) \ (z / ((x * (x / y)) \ x)). ((x \ y) * z) / ((y \ x) \ 1) != u | (y \ x) * (z / ((x \ y) \ 1)) = u. (x \ y) * (z / ((y \ x) \ 1)) = (x \ y) \ (z / (y \ x)). ((x \ y) \ 1) \ (y \ (y / x)) = (y \ x) \ (y * ((x * y) \ 1)). (x * K(y,z)) * K(z,u) != w | x * (K(z,u) * K(y,z)) = w. x * (K(y,z) * K(y * z,y)) = K(y * z,y) * (K(y,z) * x). K(x * y,x) * (K(x,y) * z) = z * (K(x,y) * K(x * y,x)). (x * y) / (x * (K(z,u) * y)) = K(u,(x * y) / (x * (z \ y))). K(x,(y * z) / (y * (u \ z))) = (y * z) / (y * (K(u,x) * z)). K(x,y) * (R(y,z,u) * (K(y,x) * w)) = R(y,z,u) * w. K(x,(y * z) \ u) = K(x,(y * (K(w,x) * z)) \ u). K(x,(y * (K(z,x) * u)) \ w) = K(x,(y * u) \ w). K(x,y / ((z * u) * w)) = K(x,y / ((z * (K(v5,x) * u)) * w)). K(x,y / ((z * (K(u,x) * w)) * v5)) = K(x,y / ((z * w) * v5)). K(x,y) * (R(T(y,z),u,w) * (K(T(y,z),T(x,z)) * v5)) = R(T(y,z),u,w) * v5. ((x * y) * y) * (z * (y \ (y \ (x \ 1)))) = T(z,x * (y * y)). (x * y) \ ((x * K(z,u)) * y) = K(((x / z) * y) \ (x * y),u). K(((x / y) * z) \ (x * z),u) = (x * z) \ ((x * K(y,u)) * z). K(x,T(y,z)) = K(x,T(K(u,x) * y,z)). K(x,T(K(y,x) * z,u)) = K(x,T(z,u)). K(T(x,y),K(z,x) * u) = K(x,T(u,y)). K(T(x,y),T(x,z) \ u) = K(x,T(x \ u,y)). ((x \ y) / x) * (x \ y) = ((x * x) \ y) * (y / x). x / y != K(z,x) | T(x,z) = y. T(T(x,y) * z,K(y,x)) = x * (z * K(x,y)). (x \ 1) * (x \ (K(1 / x,y) * z)) != u | x \ (T(1 / x,y) * z) = u. x \ (T(1 / x,y) * z) = T(x \ 1,y) * (x \ z). (x \ y) \ ((x / y) * z) = T((x \ y) \ 1,x) * ((x \ y) \ z). T((x \ y) \ 1,x) * ((x \ y) \ z) = (x \ y) \ ((x / y) * z). (x * (1 / (y * (z * ((x \ 1) \ 1))))) \ 1 = (y * (z * x)) / x. (x * (y * z)) \ ((x * z) * T(y,z)) = a(x,z * K(y,z),y). a(x,y,T(z,y)) = a(x,y * K(z,y),z). a(x,y * K(z,y),z) = a(x,y,T(z,y)). a(x,T(y,z),z) = a(x,y,T(z,y)). (x * x) * (((1 / x) * y) * z) != u | x * ((y * (z * x)) / x) = u. (x * y) \ (y * T(x,z)) = K(y,x) * K(x,z). x != K(y * L(z,u,w),z) * K(z,y) | z \ R(z,y,L(z,u,w)) = x. x \ R(x,y,L(x,z,u)) = (x * (y * L(x,z,u))) \ ((y * L(x,z,u)) * T(x,y)). (x * (y * L(x,z,u))) \ ((y * L(x,z,u)) * T(x,y)) = x \ R(x,y,L(x,z,u)). (x * y) \ (y * T(x,x \ y)) != z | a(x,y / x,x) = z. a(x,y / x,x) = K(y,x) * K(x,x \ y). K(x,y) * K(y,y \ x) = a(y,x / y,y). (x * y) \ (y * T(x,z)) != u | K(x,z) * K(y,x) = u. K(x,y) * K(y,y \ x) != z | y \ R(y,y \ x,y) = z. x \ R(x,x \ y,x) = a(x,y / x,x). a(x,y / x,x) * K(x,y) = K(x,x \ y). a(x,y / x,x) \ K(y,x) = K(x \ y,x). x \ R(x,y,x) = a(x,(x * y) / x,x). a(x,(x * y) / x,x) = x \ R(x,y,x). a(x,y,x) = x \ R(x,T(y,x),x). x \ R(x,T(y,x),x) = a(x,y,x). x \ R(x,y,x) = a(x,y,x). L(x,y,x) \ x = a(x,y,x). K(x,y) * K(x * y,x) = a(x,y,x). K(x * y,x) * K(x,y) = a(x,y,x). R(x,y,x) / x = a(x,y,x). a(x,y,x) * x = R(x,y,x). x * a(y,x,y) = T(y * x,y) / y. T(x * y,x) / x = y * a(x,y,x). a(x,y,x) \ x = L(x,y,x). x / a(x,y,x) = L(x,y,x). L(L(x,y,L(x,z,u)),z,u) \ L(x,z,u) = a(L(x,z,u),y,L(x,z,u)). x / a(x,y,x) != z | L(x,y,x) = z. a(x,y,x) * K(x,x * y) = K(x,y). K(x,y) * a(y,x,y) = K(y * x,y). x \ y != K(z,u) * K(z * u,z) | x * a(z,u,z) = y. K(x,x * y) * a(x,y,x) = K(x,y). (x * y) * a(y,x,y) = T(y * x,y). K(x * y,x) * (K(x,y) * z) = z * a(x,y,x). a(x,y,x) * z = K(x * y,x) * (K(x,y) * z). K(x * y,x) * (K(x,y) * z) = a(x,y,x) * z. x / a(y,z,y) = x * (K(z,y) * K(y,y * z)). x * (K(y,z) * K(z,z * y)) = x / a(z,y,z). x * a(y,z,y) = (x * y) / L(y,z,y). (x * y) / L(y,z,y) = x * a(y,z,y). T(x * R(y,z,u),x) / x != w | R(T(x * y,x) / x,z,u) = w. R(T(x * y,x) / x,z,u) = R(y,z,u) * a(x,R(y,z,u),x). T(x * a(y,x,y),y) = y \ T(y * x,y). (x * y) \ (y * (T(z * T(x,y),z) / z)) = L(a(z,T(x,y),z),T(x,y),y). L(x * a(y,x,y),z,u) * y != w | y * L(y \ T(y * x,y),z,u) = w. (x * y) / L(y,z,y) != u | y * (L(y,z,y) \ x) = u. x * (L(x,y,x) \ z) = z * a(x,y,x). L(x,y,x) \ z = (x \ z) * a(x,y,x). (x \ y) * a(x,z,x) = L(x,z,x) \ y. x * y = (L(x,z,x) * y) * a(x,z,x). (L(x,y,x) * z) * a(x,y,x) = x * z. x * y != z * (u \ (u * (z \ w))) | w / y = x. x / a(y,z,y) = L(y,z,y) * (y \ x). L(x,y,x) * (x \ z) = z / a(x,y,x). K(x,x * y) * (z * a(x,y,x)) = K(x,y) * z. x * y != K(z * u,z) * (K(z,u) * w) | x \ (w * a(z,u,z)) = y. K(x,y) \ (z * a(x,y,x)) = K(x * y,x) * z. K(x * y,x) * (K(x,y) * z) != u | z * a(x,y,x) = u. x * a(y,z,y) = a(y,z,y) * x. a(x,y,x) * z = z * a(x,y,x). a(x,y,x) * z != K(x * y,x) * (K(x,y) * u) | T(u,a(x,y,x)) = z. T(x,a(y,z,y)) = x. x * y != K(z * u,z) * (K(z,u) * x) | T(a(z,u,z),x) = y. T(a(x,y,x),z) = a(x,y,x). a(x,y,x) \ (z * a(x,y,x)) = z. K(x * y,x) * z = a(x,y,x) * (K(y,x) * z). a(x,y,x) * (K(y,x) * z) = K(x * y,x) * z. a(x,y,x) \ z = z / a(x,y,x). x / a(y,z,y) = a(y,z,y) \ x. (a(x,y,x) \ z) \ z = a(x,y,x). (a(x,y,x) \ z) * a(x,y,x) = z. x / a(y,z,y) != u | a(y,z,y) \ x = u. x \ a(y,z,y) = a(y,z,y) * (x \ 1). a(x,y,x) * (z \ 1) = z \ a(x,y,x). x * a(y,z,y) != u | a(y,z,y) * x = u. (x * (y * a(z,u,z))) / (x * y) = L(a(z,u,z),y,x). x != (y * z) * a(z,y,z) | T(z * y,z) = x. T(x * y,x) = a(x,y,x) * (y * x). a(x,y,x) * (y * x) = T(x * y,x). x * y != (L(z,u,z) * w) * a(z,u,z) | x \ (z * w) = y. a(x,y,x) \ (x * z) = L(x,y,x) * z. x * y != (z \ u) * a(z,w,z) | x \ (L(z,w,z) \ u) = y. a(x,y,x) \ (L(x,y,x) \ z) = x \ z. (x * y) \ ((x * a(z,u,z)) * y) = R(T(a(z,u,z),x * y),x,y). x / a(y,z,y) != u | L(y,z,y) * (y \ x) = u. L(x,y,x) * (x \ z) = a(x,y,x) \ z. a(x,y,x) \ x != z | L(x,y,x) = z. (x * y) / L(a(z,u,z),a(z,u,z) \ y,x) = x * (a(z,u,z) \ y). a(x,y,x) * z != u | z * a(x,y,x) = u. (x \ 1) * a(y,z,y) = x \ a(y,z,y). L(x,y,x) * (x \ z) != u | K(x,x * y) * (K(y,x) * z) = u. K(x,x * y) * (K(y,x) * z) = a(x,y,x) \ z. T(x \ a(y,x \ 1,y),y) = y \ T(y * (x \ 1),y). x * (K(y,z) * K(z,z * y)) != u | (x / R(z,y,z)) * z = u. (x / R(y,z,y)) * y = x / a(y,z,y). x * (y \ L(y,z,y)) = x / a(y,z,y). x / y = (x * a(y,z,y)) / R(y,z,y). (x * a(y,z,y)) / R(y,z,y) = x / y. x != y / a(z,u,z) | a(z,u,z) \ y = x. a(x,y,x) \ z = z * (x \ L(x,y,x)). x * (y \ L(y,z,y)) = a(y,z,y) \ x. (x / y) * R(y,z,y) = x * a(y,z,y). x * R(y,z,y) = (x * y) * a(y,z,y). (x * y) * a(y,z,y) = x * R(y,z,y). x * y != (z * u) * a(u,w,u) | (z * R(u,w,u)) / y = x. (x * R(y,z,y)) / (x * y) = a(y,z,y). a(x,y,x) * (z * x) != u | z * R(x,y,x) = u. ((x * y) * R(L(z,y,x),u,L(z,y,x))) / (x * (y * z)) = a(L(z,y,x),u,L(z,y,x)). x != K(y,z) * (L(z,u,w) * y) | L(z,u,w) * T(y,z) = x. L(x,y,z) * T(u,x) = K(u,u * x) * ((L(x,y,z) * u) * a(u,x,u)). K(x,x * y) * ((L(y,z,u) * x) * a(x,y,x)) = L(y,z,u) * T(x,y). x != K(y,z) * (R(z,u,w) * y) | R(z,u,w) * T(y,z) = x. R(x,y,z) * T(u,x) = K(u,u * x) * ((R(x,y,z) * u) * a(u,x,u)). K(x,x * y) * ((R(y,z,u) * x) * a(x,y,x)) = R(y,z,u) * T(x,y). K(x,y) * (z * a(y,x,y)) = K(y * x,y) * z. a(x,y,x) \ z = K(y,x) * (K(x,x * y) * z). K(x,y) * (K(y,y * x) * z) = a(y,x,y) \ z. K(x,y) * (a(y,x,y) * z) = K(y * x,y) * z. K(x,y) * T(z \ (y * x),K(y,y * x)) = a(y,x,y) \ (z \ T(y * x,y)). K(a(x,y,z),x * (y * z)) * (a(x * (y * z),a(x,y,z),x * (y * z)) * u) = K((x * y) * z,x * (y * z)) * u. (x * (y * R(z,u,z))) / (x * (y * z)) = L(a(z,u,z),y * z,x). (x \ T(x * (y \ 1),x)) * R(T(y \ a(x,y \ 1,x),x) \ 1,z,u) = T((y \ a(x,y \ 1,x)) * R((y \ a(x,y \ 1,x)) \ 1,z,u),x). T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = (y \ T(y * (x \ 1),y)) * R(T(x \ a(y,x \ 1,y),y) \ 1,z,u). R(x * a(y,x,y),z,u) = R(x,z,u) * a(y,R(x,z,u),y). R(x,y,z) * a(u,R(x,y,z),u) = R(x * a(u,x,u),y,z). R(x * a(y,x,y),z,u) != R(x,z,u) * w | a(y,R(x,z,u),y) = w. K(x,y \ z) * y != u | y * K(x,z / y) = u. L(x,y,z) * K(u,x / L(x,y,z)) = T(L(x,y,z) \ x,u) \ x. L(x,y,y) * (z * L(x,y,y)) = (x * x) * T(z,x \ 1). x != (y * y) * T(z,y \ 1) | y * (z * y) = x. x * (y * x) = L(x,z,z) * (y * L(x,z,z)). L(x,y,y) * (z * L(x,y,y)) = x * (z * x). L(x,y,y) * T(L(x,y,y),z) = x * (K(L(x,y,y),z) * x). L(x,y,y) * L(T(x,z),y,y) = x * (K(L(x,y,y),z) * x). L(x,y,y) * L(z,y,y) != u | L(x * z,y,y) = u. L(x * T(x,y),z,z) = x * (K(L(x,z,z),y) * x). x * (K(L(x,y,y),z) * x) = L(x * T(x,z),y,y). x * (K(x,y) * x) = L(x * T(x,y),z,z). L(x * T(x,y),z,z) = x * (K(x,y) * x). L(x * T(x,y),z,z) = x * T(x,y). x \ T(1 / x,y) = (1 / x) * T(1 / x,y). (1 / x) * T(1 / x,y) = x \ T(1 / x,y). x \ y != L(z * T(z,u),w,w) | x * (z * T(z,u)) = y. x * (y * T(y,z)) = (1 / x) \ (y * T(y,z)). (1 / x) \ (y * T(y,z)) = x * (y * T(y,z)). ((x * T(x,y)) \ z) \ 1 = (z \ 1) * (x * T(x,y)). (x \ 1) \ (1 / (y * T(y,z))) = 1 / ((y * T(y,z)) / x). ((x \ T(1 / x,y)) * z) * x = x \ (T(1 / x,y) * (z * x)). x \ (T(1 / x,y) * (z * x)) = ((x \ T(1 / x,y)) * z) * x. T(x \ T(1 / x,y),x \ 1) = T(1 / x,y) / x. x * (y * T(y,z)) != u \ (y * T(y,z)) | 1 / x = u. x \ (y * T(y,z)) != u * (y * T(y,z)) | 1 / u = x. (x * (y * T(y,x))) * x = x * ((y * x) * y). x * (x * (y * T(y,x))) = ((y * x) * y) * x. (x * y) * T(y * x,x) = x * ((y * x) * y). (x * (y * x)) * y = y * ((x * y) * x). T(x * ((1 / y) * x),y \ 1) = (x * (1 / y)) * x. (x \ (y / x)) * y = y * (((1 / x) * y) * (1 / x)). x * (((1 / y) * x) * (1 / y)) = (y \ (x / y)) * x. x * (y * (x * y)) = ((y * x) * y) * x. ((x * y) * x) * y = y * (x * (y * x)). x * T(y * z,z) != u | x * ((1 / z) \ y) = u. (x * y) * ((1 / x) \ y) = x * ((y * x) * y). (x \ 1) * y != ((z * T(z,u)) \ x) \ 1 | (z \ (T(z,u) \ 1)) \ 1 = y. (x \ (T(x,y) \ 1)) \ 1 = x * T(x,y). 1 / (x * T(x,y)) = x \ (T(x,y) \ 1). T(x \ (T(x,y) \ 1),y) = y / (x * (y * x)). T(x \ (T(x,y) \ 1),y) != z | ((x * y) * x) \ y = z. ((x * y) * x) \ y = y / (x * (y * x)). x / (y * (x * y)) = ((y * x) * y) \ x. x \ T(T(1 / x,y),x) = T(1 / x,y) / x. x \ T(x \ 1,y) = T(1 / x,y) / x. T(1 / x,y) / x = x \ T(x \ 1,y). T(1 / x,y) / x != z | (x \ 1) * T(1 / x,y) = z. (x \ 1) * T(1 / x,y) = x \ T(x \ 1,y). T(x * ((1 / y) * x),y \ 1) != z | (x * T(x,y \ 1)) / y = z. (x * T(x,y \ 1)) / y = (x * (1 / y)) * x. x \ y != T(z * ((1 / u) * z),u \ 1) | x * ((z * (1 / u)) * z) = y. x * ((y * (1 / x)) * y) = T(x * (y * ((1 / x) * y)),x). T(x * (y * ((1 / x) * y)),x) = x * ((y * (1 / x)) * y). x * ((y \ x) / y) = (y \ (x / y)) * x. (x \ (y / x)) * y = y * ((x \ y) / x). x * y != x * ((z \ x) / z) | T(z \ (x / z),x) = y. T(x \ (y / x),y) = (x \ y) / x. x \ y != (z \ (u / z)) * u | x * (u * ((z \ u) / z)) = y. x * ((x \ 1) * ((y \ (x \ 1)) / y)) = T(y \ ((x \ 1) / y),x). ((1 / x) * ((y \ (1 / x)) / y)) / x = x \ (x \ (y \ ((1 / x) / y))). (1 / x) * ((y \ ((1 / x) / y)) / (1 / x)) = x * ((1 / x) * ((y \ (1 / x)) / y)). ((x \ y) / x) * y = y * (x \ (y / x)). 1 / ((x * T(x,y)) / z) != u \ (1 / (x * T(x,y))) | z \ 1 = u. x \ (1 / (y * T(y,z))) != 1 / ((y * T(y,z)) / u) | u \ 1 = x. x != y * ((z * (1 / y)) * z) | ((z / (y \ 1)) / (1 / z)) * (1 / y) = x. ((x / (y \ 1)) / (1 / x)) * (1 / y) = T(y * (x * ((1 / y) * x)),y). T(x * (y * ((1 / x) * y)),x) = ((y / (x \ 1)) / (1 / y)) * (1 / x). x * ((x \ 1) * ((x * y) \ (1 / y))) = T(y \ ((x \ 1) / y),x). (1 / x) \ (y * L(z,x,x)) != u | x * (L(y,x,x) * z) = u. x * (L(x * y,x,x) * y) = (x * y) * T(x * y,1 / x). (x * y) * T(x * y,1 / x) = x * (L(x * y,x,x) * y). (x * y) * T(x * y,1 / x) = x * (((x \ 1) \ y) * y). R(K(x,T(T(y,z),z * u)),z,u) = (z * u) \ ((z * K(x,y)) * u). x != R(y * K(z,y),u,w) \ R(y,u,w) | K(R(y,u,w),z) = x. K(R(x,y,z),u) = K(R(x,y,z),u * K(x,w)). K(R(x,y,z),u * K(x,w)) = K(R(x,y,z),u). K(R(x,y,z),u * K(w,x)) = K(R(x,y,z),u). K(R(x \ y,z,u),w \ (y / x)) = K(R(x \ y,z,u),w \ (x \ y)). K(L(x,y,z),T(u,w)) = K(L(x,y,z),T(u,x \ w)). K(L(x,y,z),T(u,x \ w)) = K(L(x,y,z),T(u,w)). K(L(x,y,z),T(u,x \ w)) != v5 | K(L((x \ w) \ w,y,z),u) = v5. K(L((x \ y) \ y,z,u),w) = K(L(x,z,u),T(w,y)). 1 / K(L(x,y,z),T(u,w)) = K(T(u,x \ w),L(x,y,z)). K(T(x,y \ z),L(y,u,w)) = 1 / K(L(y,u,w),T(x,z)). (x * K(L(y,z,u),T(w,v5))) \ (x * w) = T(w,L((y \ v5) \ v5,z,u)). T(x,L((y \ z) \ z,u,w)) = (v5 * K(L(y,u,w),T(x,z))) \ (v5 * x). K(T(x,y),L(z,u,w)) = K(T(x,z \ y),L(z,u,w)). K(T(x,y \ z),L(y,u,w)) = K(T(x,z),L(y,u,w)). x != K(T(y,z),L(u,w,v5)) | K(y,L(T(u,z),w,v5)) = x. K(x,L(T(y,z),u,w)) = K(T(x,y \ z),L(y,u,w)). K(T(x,y \ z),L(y,u,w)) = K(x,L(T(y,z),u,w)). K(x,L(T(y,y \ z),u,w)) = K(x,L(T(y,z),u,w)). K(x,L(T(y,z),u,w)) = K(x,L(T(y,y * z),u,w)). K(x,L(T(y,y * z),u,w)) = K(x,L(T(y,z),u,w)). K(x,L(L(y,z,y * K(z,y)),u,w)) = K(x,L(T(y * K(z,y),z),u,w)). K(x,y) * K(y * L(x,z,u),x) = L(x,y,L(x,z,u)) \ x. ((x * x) \ (L(y,z,z) \ 1)) \ 1 = z * (((x * (x * y)) \ z) \ 1). L(T(K(x,T(y,z * u)),u),u,z) = (z * (K(x,y) * u)) / (z * u). x != L(y,z,z) | (1 / z) * (z * y) = x. (1 / x) * (x * (((x \ 1) \ y) * y)) = (y * ((y / (1 / x)) / x)) / (1 / x). (x * ((x / (1 / y)) / y)) / (1 / y) = (1 / y) * (y * (((y \ 1) \ x) * x)). x != K(a(y,z,u),y) | 1 = x. 1 = K((T(x,y) * z) \ (y \ ((x * y) * z)),y). K((T(x,y) * z) \ (y \ ((x * y) * z)),y) = 1. K((T(x,y) * z) \ u,y) != w | K((x * z) \ u,y) = w. K((x * y) \ (z \ ((x * z) * y)),z) = 1. x * T(y,y \ (x * x)) = (y \ x) \ (x * x). x * (1 / y) != y * ((y \ z) * u) | L(z * (u / (y \ 1)),y,y) = x. L(x * (y / (z \ 1)),z,z) = L(x,z,z) * (y * ((z \ 1) \ 1)). L(x,y,y) * (z * ((y \ 1) \ 1)) = L(x * (z / (y \ 1)),y,y). x != L(y,z,z) | (z \ 1) \ (z \ y) = x. (x \ 1) \ (x \ (y * (z / (x \ 1)))) = L(y,x,x) * (z * ((x \ 1) \ 1)). (x * y) \ ((x * a(z,u,z)) * y) = R(a(z,u,z),x,y). (x * y) \ ((T(z * x,z) / z) * y) = R(a(z,x,z),x,y). L(x,y,z) * K(u,L(x,y,z) \ x) = T(L(x,y,z) \ x,u) \ x. x * (((y * (y * z)) \ x) \ 1) != u | (L(z,x,x) \ 1) \ (y * y) = u. L(x,y,z) * K(u,L(x,y,z) \ x) = T(a(x \ 1,z,y) \ 1,u) \ x. (1 / x) \ ((T(y,x) * (1 / x)) * z) = (y * (z / (1 / x))) * (1 / x). T(x,x \ 1) * ((x \ 1) \ y) != z | (y * x) * x = z. (R(T(x,y),z,u) * K(x,w)) * v5 != v6 | (K(x,w) * R(T(x,y),z,u)) * v5 = v6. (K(x,y) * R(T(x,z),u,w)) * v5 = R(T(x,z),u,w) * (K(x,y) * v5). ((x \ y) \ 1) * ((y * (y / x)) \ 1) = (y * (y / x)) \ (x / y). x * (y \ 1) != y \ z | T(z,y) = x. T(x / y,y * (y / x)) = (x \ y) \ 1. x * ((y \ (y \ 1)) * (y \ (y \ 1))) = (y \ (y \ x)) * (y \ (y \ 1)). (x * y) \ (y * (T(x,y) * z)) = L(L(z,x,y),y * x,K(x,y)). L(L(x,y,z),z * y,K(y,z)) = (y * z) \ (z * (T(y,z) * x)). L(L(x,y,z),z * y,K(y,z)) != u | L(x,T(y,z),z) = u. (x * (y * y)) * x = T(x,z) * ((y * y) * T(x,z)). T(x,y) * ((z * z) * T(x,y)) = (x * (z * z)) * x. x != (y * (z * z)) * y | y * ((z * z) * y) = x. x * ((y * y) * x) = T(x,z) * ((y * y) * T(x,z)). T(x,y) * ((z * z) * T(x,y)) = x * ((z * z) * x). T(x,y) * ((y * x) * y) = x * ((y * y) * x). T(x * y,y) * (z * y) != u | y * ((x * z) * y) = u. x * ((y * (x * (y * x))) * x) = (y * x) * ((x * x) * (y * x)). (x * y) * ((y * y) * (x * y)) = y * ((x * (y * (x * y))) * y). x * ((1 / T(x,y)) \ z) = K(x,y) * ((T(x,y) * T(x,y)) * z). K(x,y) * ((T(x,y) * T(x,y)) * z) = x * ((1 / T(x,y)) \ z). K(x,y) * ((x * x) * z) = x * ((1 / T(x,y)) \ z). x != y * ((1 / T(y,z)) \ u) | (y * T(y,z)) * u = x. (x * T(x,y)) * z = K(x,y) * ((x * x) * z). K(x,y) * ((x * x) * z) = (x * T(x,y)) * z. x * ((y * y) * z) != u | x * ((z * y) * y) = u. K(x,y) * ((z * x) * x) = (x * T(x,y)) * z. K(x,y) * ((z * x) * x) != u | (x * x) * (K(x,y) * z) = u. (x * x) * (K(x,y) * z) = (x * T(x,y)) * z. x != ((1 / y) * z) * u | (y \ (z * (u * y))) / y = x. (x \ (T(1 / x,y) * (z * x))) / x = ((1 / x) * (1 / x)) * (K(1 / x,y) * z). x * y != (z * z) * (K(z,u) * w) | x \ ((z * T(z,u)) * w) = y. (x * (x * (K(x,y) * z))) \ ((x * T(x,y)) * z) = a(x,x,K(x,y) * z). (x * x) * (T(x,y) * z) = (x * T(x,y)) * (x * z). (x * T(x,y)) * (x * z) = (x * x) * (T(x,y) * z). x != T(y,z * (1 / u)) | T(y,z / u) = x. T(x,(1 / y) / z) = ((1 / y) * (1 / z)) * (x * (z / (y \ 1))). ((1 / x) * (1 / y)) * (z * (y / (x \ 1))) = T(z,(1 / x) / y). x != T(y,(1 / z) / u) | T(y,z \ (u \ 1)) = x. T(x,y \ (z \ 1)) = ((1 / y) * (1 / z)) * (x * (z / (y \ 1))). ((1 / x) * (1 / y)) * (z * (y / (x \ 1))) = T(z,x \ (y \ 1)). L(R(x,y \ 1,z),y,y) = (((y * (1 / x)) \ 1) * z) / ((y \ 1) * z). (x \ y) * (x \ K(z,x \ y)) = (x \ (y / x)) * K(z,x \ y). (x \ (y / x)) * K(z,x \ y) = (x \ y) * (x \ K(z,x \ y)). (x * (y * x)) \ (x * T(x * y,x)) = K(x * x,T(y,x \ 1)). (x * (y * x)) \ ((x * y) * x) = K(x * x,T(y,x \ 1)). K(x * x,T(y,x \ 1)) != z | a(x,y,x) = z. a(x,y,x) = a(x,x,y). a(x,y,y) = a(y,x,y). (x \ a(x,y,x)) * y = x \ y. (x \ y) * a(z,x,x) = L(x,z,x) \ y. x != (1 / ((1 / y) \ z)) \ y | y / ((z * y) \ 1) = x. x / ((y * x) \ 1) = ((1 / ((1 / x) \ y)) \ a(1 / ((1 / x) \ y),x,1 / ((1 / x) \ y))) * x. ((1 / ((1 / x) \ y)) \ a(1 / ((1 / x) \ y),x,1 / ((1 / x) \ y))) * x = x / ((y * x) \ 1). a(x,y,y) * (y \ z) = L(y,x,y) \ z. (x * (y \ (y \ 1))) * (y \ (y \ 1)) = (((y * y) * y) * y) \ x. (x * (y \ (y \ 1))) * (y \ (y \ 1)) = (y * (y * (y * y))) \ x. (x \ (x \ y)) * (x \ (x \ 1)) = (x * (x * (x * x))) \ y. x \ (x \ (x \ (x \ y))) = (x * (x * (x * x))) \ y. (x * (x * (x * x))) \ y = x \ (x \ (x \ (x \ y))). x != T(y,(z * (z * z)) \ 1) | T(y,z \ (z \ (1 / z))) = x. T(x,y \ (y \ (1 / y))) = (y * ((x * y) * y)) * ((y * (y * y)) \ 1). (x * ((y * x) * x)) * ((x * (x * x)) \ 1) = T(y,x \ (x \ (1 / x))). (x \ (1 / y)) * (1 / y) != z | (x \ (y \ 1)) * (y \ 1) = z. ((x * (y * (1 / x))) \ (x \ 1)) * (x \ 1) = (y / (1 / x)) \ (1 / x). T(x / L(T(x,y),z,u),K(x,y)) = x * (L(T(x,y),z,u) \ 1). T(x / y,K(x,z)) != u | x / T(y,K(x,z)) = u. x / T(L(T(x,y),z,u),K(x,y)) = x * (L(T(x,y),z,u) \ 1). x / L(T(T(x,y),K(x,y)),z,u) = x * (L(T(x,y),z,u) \ 1). x / L(T(x,y),z,u) = x * (L(T(x,y),z,u) \ 1). x * (L(T(x,y),z,u) \ 1) = x / L(T(x,y),z,u). L(T(x,y),z,u) \ x = x / L(T(x,y),z,u). x / L(T(x,y),z,u) = L(T(x,y),z,u) \ x. (x * x) * (x * ((y / x) * y)) = (x * y) * T(x * y,x * x). (x * y) * T(x * y,x * x) = (x * x) * (x * ((y / x) * y)). x != (y * y) * (y * ((z / y) * z)) | y * (z / (1 / (y * z))) = x. x * (y / (1 / (x * y))) = (x * y) * T(x * y,x * x). (x * y) * T(x * y,x * x) = x * (y / (1 / (x * y))). x \ y != (z * u) * T(z * u,z * z) | x * (z * (u / (1 / (z * u)))) = y. (x * x) * (x * (y / (1 / (x * y)))) = (x * y) * ((x * x) * (x * y)). (((x * y) \ x) * (x \ (y \ x))) * x = (y \ x) * ((x * y) \ x). (T(x,y) \ (y \ (y / x))) * y = (x \ y) * ((y * x) \ y). x != (y \ z) * ((z * y) \ z) | (y \ z) / y = x. (x \ y) / x = (T(x,y) \ (y \ (y / x))) * y. (T(x,y) \ (y \ (y / x))) * y = (x \ y) / x. x * (x * (y * ((1 / (x * x)) \ y))) = (x * (x * y)) * (y * (x * x)). x * (x * (y * ((y * x) * x))) = (y * (x * x)) * (y * (x * x)). (x * (y * y)) * (x * (y * y)) = y * (y * (x * ((x * y) * y))). ((x * x) * y) * ((x * x) * y) = x * (x * (y * ((y * x) * x))). ((x * x) * y) * ((y * x) * x) = x * (x * (y * ((y * x) * x))). (x * (y * ((x \ z) / y))) / z = K(y,((x * y) / z) \ 1). x != K(y,(z / u) \ 1) | K(y,u / z) = x. K(x,y / (z * x)) = (z * (x * ((z \ y) / x))) / y. (x * (y * ((x \ z) / y))) / z = K(y,z / (x * y)). R(K(x,(y / z) / (u * x)),y / z,z) = ((u * (x * ((u \ (y / z)) / x))) * z) / y. (x \ 1) * ((x * ((1 / x) * y)) \ 1) = (x * (y * (1 / x))) \ (x \ 1). (x \ 1) * ((y * K(x,x \ 1)) \ 1) = (x * (y / x)) \ (x \ 1). (x \ 1) * (K(x,x \ 1) * (y \ 1)) = (x * (y / x)) \ (x \ 1). (x \ y) * (K(x,x \ y) * z) != u | (y / x) * z = u. (1 / x) * (y \ 1) = (x * (y / x)) \ (x \ 1). (x * (y / x)) \ (x \ 1) = (1 / x) * (y \ 1). (1 / x) * ((y * (1 / x)) * (1 / x)) = ((x \ (x \ 1)) / x) * y. T((x * (1 / y)) * (1 / y),y) = (((y \ (y \ 1)) / y) * x) * y. T((x * (1 / y)) * (1 / y),y) = ((y \ (y \ (y \ 1))) * x) * y. (x \ 1) * (y * (1 / x)) = ((x \ (x \ (x \ 1))) * y) * x. ((x \ (x \ (x \ 1))) * y) * x = (x \ 1) * (y * (1 / x)). x * y != (y \ 1) * (z * (1 / y)) | y \ (y \ (y \ z)) = x. x \ (x \ (x \ y)) = (x \ (x \ (x \ 1))) * y. (x \ (x \ (x \ 1))) * y = x \ (x \ (x \ y)). (T(x,y) \ 1) * T(T(x,y) \ 1,y) = y \ (x \ (y / x)). (T(x,y) \ 1) * T(T(x,y) \ 1,y) != z | T(x,y) \ (y \ (y / x)) = z. T(x,y) \ (y \ (y / x)) = y \ (x \ (y / x)). (x \ (y \ (x / y))) * x = (y \ x) / y. x * ((y \ (x / y)) / x) = (y \ x) / y. (x / y) * T(x / y,y * (y / x)) = (y * (y / x)) \ x. (x / y) * ((x \ y) \ 1) = (y * (y / x)) \ x. (x / y) * ((x \ y) \ 1) != z | (y / x) \ (y \ x) = z. (x / y) \ (x \ y) = (x * (x / y)) \ y. (x * (x / y)) \ y = (x / y) \ (x \ y). (x * y) \ (y \ x) = (x / (y \ x)) \ (x \ (y \ x)). (x / (y \ x)) \ (x \ (y \ x)) = (x * y) \ (y \ x). x \ (y \ (x \ y)) = (y * x) \ (x \ y). (x * y) \ (y \ x) = y \ (x \ (y \ x)). (x * T(x,y)) * T(z,(x * (y * x)) \ y) = z / (x \ (T(x,y) \ 1)). T(x * K(y,T(z,u)),K(u,K(y,z))) = K(y,K(z,u)) * (x * K(y,z)). (x \ (T(a(x \ 1,y,z) \ 1,u) \ x)) * x = T(a(x \ 1,y,z) \ 1,u) \ x. K((x * (y / z)) \ u,z) != w | K((x * (z \ y)) \ u,z) = w. x / (y \ 1) != y \ ((y * z) * (u * u)) | z * (((y \ 1) * u) * u) = x. x * (((y \ 1) * (y \ 1)) * (y \ 1)) = (y * y) \ (x / y). x * ((y \ (1 / y)) * (y \ 1)) = (y * y) \ (x / y). x * (y \ ((1 / y) / y)) = (y * y) \ (x / y). x * (y \ (y \ (y \ 1))) = (y * y) \ (x / y). T(x,T((y * y) * z,u)) != w | T(x,T(y * (y * z),u)) = w. L(x,L(T(y,z),u,w),L(T(y,z),u,w)) = L(x,L(y,u,w),L(y,u,w)). L(x,R(T(y,z),u,w),R(T(y,z),u,w)) = L(x,R(y,u,w),R(y,u,w)). ((x \ y) \ 1) * T((x \ y) \ 1,z) = (y \ x) * T(y \ x,z). (x \ 1) * T(x \ 1,y) != z | x \ T(1 / x,y) = z. (x \ y) \ T(1 / (x \ y),z) = (y \ x) * T(y \ x,z). (x \ y) \ ((x \ y) \ 1) = (y \ x) * T(y \ x,x \ y). (x \ y) * T(x \ y,y \ x) = (y \ x) \ ((y \ x) \ 1). (x \ y) \ (x / y) = (y \ x) * T(y \ x,x). (x \ y) * T(x \ y,y) = (y \ x) \ (y / x). x \ y != (z \ u) * T(z \ u,u) | x * ((u \ z) \ (u / z)) = y. x * ((x \ y) \ (x / y)) = (y \ x) * (x * (y \ x)). (x \ y) * (y * (x \ y)) = y * ((y \ x) \ (y / x)). x != (y \ z) \ ((y \ z) \ 1) | z \ ((z / y) \ y) = x. x \ ((x / y) \ y) = (x \ y) * T(x \ y,y \ x). (x \ y) * T(x \ y,y \ x) = x \ ((x / y) \ y). (x \ y) * (T(y,y \ x) / x) = x \ ((x / y) \ y). L(x,y,z) * (T(z * (y * x),(z * (y * x)) \ (z * y)) / (z * y)) = (z * y) \ (((z * y) / (z * (y * x))) \ (z * (y * x))). x * R(K(y,z),u,w) = (x * K(y,v5)) * (K(v5,y) * R(K(y,z),u,w)). (x * K(y,z)) * (K(z,y) * R(K(y,u),w,v5)) = x * R(K(y,u),w,v5). (x \ (x \ 1)) \ (((x \ (x \ 1)) * y) * z) = x * (((x \ y) * (z * x)) / x). x != y * ((z * (u * (1 / y))) * y) | ((1 / y) \ z) * L(u,y,y) = x. ((1 / x) \ y) * L(z,x,x) = ((1 / x) \ (x \ ((x * y) * z))) * 1. ((1 / x) \ (x \ ((x * y) * z))) * 1 = ((1 / x) \ y) * L(z,x,x). (x * ((1 / x) * ((x * y) * z))) * 1 = ((1 / x) \ y) * L(z,x,x). x * ((1 / x) * ((x * y) * z)) = ((1 / x) \ y) * L(z,x,x). x * y != ((1 / x) \ z) * L(u,x,x) | (z * (u * (1 / x))) * x = y. (x * (y * (1 / z))) * z = (1 / z) * ((z * x) * y). ((1 / x) * ((x * y) * z)) / L(z,x,x) = R(y,z * (1 / x),x). (x * (y / z)) * z = (1 / z) * ((z * x) * L(y,z,z)). (1 / x) * ((x * y) * L(z,x,x)) = (y * (z / x)) * x. (x * (((y * x) \ 1) * (1 / x))) * x = (1 / x) * ((y * (x \ 1)) \ 1). (x \ (y * z)) * x = (y * K((z \ 1) \ (x \ y),x)) * z. (x * K((y \ 1) \ (z \ x),z)) * y = (z \ (x * y)) * z. (x * K(y * (z \ x),z)) * y = (z \ (x * y)) * z. (x * K((y \ z) \ x,z)) * y = (z \ (x * y)) * z. x * y != (z \ ((y \ (z * u)) * y)) * z | 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). K(x,y \ (z * x)) = K(x,y \ (x * z)). x != K(y,z \ (y * u)) | K(y,(y \ z) \ u) = x. K(x,(x \ y) \ z) = K(x,y \ (z * x)). K(x,y) = K(x,z \ (((x \ z) * y) * x)). K(x,y \ (((x \ y) * z) * x)) = K(x,z). K(x \ 1,y / x) != z | K(x,y) = z. K(x,y * (z * ((x \ 1) \ 1))) = K(x \ 1,x * (((x \ 1) * y) * z)). K(x \ 1,x * (((x \ 1) * y) * z)) = K(x,y * (z * ((x \ 1) \ 1))). x * (y * ((z \ u) \ 1)) != (u \ z) * w | (((z \ u) * x) * y) * (u \ z) = w. (x \ y) * z != u * (w * ((y \ x) \ 1)) | (((y \ x) * u) * w) * (x \ y) = z. x \ y != T(z * (u * ((1 / z) * u)),z) | x * (((u / (z \ 1)) / (1 / u)) * (1 / z)) = y. x * (((y / (x \ 1)) / (1 / y)) * (1 / x)) = (x * (y * ((1 / x) * y))) * x. K(R(x \ (x * y),z,u),w * K(x,y)) = K(R(x \ (x * y),z,u),R(y / w,w,K(x,y)) \ (x \ (x * y))). K(R(x \ (x * y),z,u),R(y / w,w,K(x,y)) \ (x \ (x * y))) = K(R(x \ (x * y),z,u),w * K(x,y)). x != (y * K(z,T(u,w))) \ (y * u) | T(u,T(z,w)) = x. T(x,T(L(y,z,u),w)) = T(x,L((y \ w) \ w,z,u)). T(x,L((y \ z) \ z,u,w)) = T(x,T(L(y,u,w),z)). T(x,L((y \ z) \ z,u,w)) = T(x,L(T(y,z),u,w)). T(x,L(T(y,y \ z),u,w)) = T(x,L(T(y,z),u,w)). (1 / x) \ ((y * (1 / x)) * z) != u | (x \ 1) \ ((y * (x \ 1)) * z) = u. (x \ 1) \ ((T(y,x) * (x \ 1)) * z) = (y * (z / (1 / x))) * (1 / x). R(K(x,y),R(T(x,z),u,w),v5) = (K(x,y) \ (R(T(x,z),u,w) * (K(x,y) * v5))) / (K(x,y) \ (R(T(x,z),u,w) * v5)). (K(x,y) \ (R(T(x,z),u,w) * (K(x,y) * v5))) / (K(x,y) \ (R(T(x,z),u,w) * v5)) = R(K(x,y),R(T(x,z),u,w),v5). x != y * (z \ (z \ 1)) | z \ (z \ y) = x. x \ (x \ (x \ (x \ y))) = y * ((x \ (x \ 1)) * (x \ (x \ 1))). x * ((y \ (y \ 1)) * (y \ (y \ 1))) = y \ (y \ (y \ (y \ x))). x * (y \ (y \ (y \ (y \ 1)))) = y \ (y \ (y \ (y \ x))). x != T(y,z \ (z \ (1 / u))) | T(y,z \ (z \ (u \ 1))) = x. T(x,y \ (y \ (y \ 1))) = (y * ((x * y) * y)) * ((y * (y * y)) \ 1). (x * ((y * x) * x)) * ((x * (x * x)) \ 1) = T(y,x \ (x \ (x \ 1))). x * (x * (y * ((1 / (x * x)) \ y))) = (x * (x * y)) * (x * (x * y)). (x \ 1) * (x * ((1 / x) * (y \ 1))) = (x * (y * (1 / x))) \ (x \ 1). 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 * (x \ (y \ (x \ 1)))) * x = (1 / x) * ((y * (x \ 1)) \ 1). (1 / x) * ((y * (x \ 1)) \ 1) = (x * (x \ (y \ (x \ 1)))) * x. (x \ (y \ 1)) * y = (1 / y) * ((x * (y \ 1)) \ 1). (1 / x) * ((y * (x \ 1)) \ 1) = (y \ (x \ 1)) * x. x != (y \ (z \ 1)) * z | (y \ z) * (1 / z) = x. (x \ y) * (1 / y) = (1 / y) * ((x * (y \ 1)) \ 1). (1 / x) * ((y * (x \ 1)) \ 1) = (y \ x) * (1 / x). x != K(y,z * (u * ((w \ 1) \ 1))) | K(y,z * (u * w)) = x. K(x,y * (z * x)) = K(x \ 1,x * (((x \ 1) * y) * z)). K(x \ 1,x * (((x \ 1) * y) * z)) = K(x,y * (z * x)). (x \ 1) \ ((x \ y) * z) = (y * (z / (1 / x))) * (1 / x). (x * (y / (1 / z))) * (1 / z) = (z \ 1) \ ((z \ x) * y). (x * ((y \ L(y,z,u)) / (1 / y))) * (1 / y) = (y \ 1) \ (y \ ((x * L(y,z,u)) / y)). (x * ((y * x) * x)) * ((x * x) \ (x \ 1)) = T(y,x \ (x \ (x \ 1))). x * (x * (y * ((y * x) * x))) = (x * (x * y)) * (x * (x * y)). (x * (x * y)) * (x * (x * y)) = x * (x * (y * ((y * x) * x))). ((x * y) * x) * ((x * y) * x) = x * (x * (y * ((y * x) * x))). L(x * (x * (y * ((y * x) * x))),x,x) = L(x * (x * y),x,x) * ((y * x) * x). (x \ 1) * (x * y) != z | x * ((1 / x) * y) = z. x * ((1 / x) * ((1 / x) * (y \ 1))) = (x * (y * (1 / x))) \ (x \ 1). x * (y \ ((x \ 1) * (x \ 1))) = (x * (y * (1 / x))) \ (x \ 1). (x * (y * (1 / x))) \ (x \ 1) = x * (y \ ((x \ 1) * (x \ 1))). (x * (y * (1 / x))) \ (x \ 1) = x * (y \ (x \ (1 / x))). (x * (y \ (x \ (1 / x)))) * (x \ 1) = (y / (1 / x)) \ (1 / x). (x * y) * (x \ 1) != z | T(y,x \ 1) = z. T(x \ (y \ (1 / y)),y \ 1) = (x / (1 / y)) \ (1 / y). T(x \ (y \ (1 / y)),y \ 1) != z | y \ ((y * x) \ 1) = z. x \ ((x * y) \ 1) = (y / (1 / x)) \ (1 / x). (x / (1 / y)) \ (1 / y) = y \ ((y * x) \ 1). L(x,y / z,y / z) * ((z \ y) * (z \ y)) = (x * (y / z)) * (y / z). L(L(x * K(y,x),z,u),w,v5) * y = y * L(L(x,w,v5),z,u). (x \ ((x / y) \ y)) * (y \ (x / y)) != z | (x \ (y \ x)) / (y \ x) = z. L(x,y \ z,y \ z) * ((y \ z) * (y \ z)) = (x * (z / y)) * (z / y). x * ((x \ y) * (K(z,u) / (1 / x))) = (y * (x * (x * K(z,u)))) / x. x * ((x \ y) * ((x \ K(z,u)) \ 1)) = (y * (x * (x * K(z,u)))) / x. x != (y \ 1) * K(z,u) | y \ K(z,u) = x. L(x,y,y) \ K(z,x \ 1) = T(L(x,y,y) \ 1,T(z,L(x,y,y))). T(L(x,y,y) \ 1,T(z,L(x,y,y))) = L(x,y,y) \ K(z,x \ 1). T(L(x,y,y) \ 1,T(z,x)) = L(x,y,y) \ K(z,x \ 1). T(L(x,y,y) \ 1,z) != u | L(T(x \ 1,z),y,y) = u. L(T(x \ 1,T(y,x)),z,z) = L(x,z,z) \ K(y,x \ 1). L(T(x \ 1,y),z,z) = L(x,z,z) \ K(y,x \ 1). L(x,y,y) \ K(z,x \ 1) = L(T(x \ 1,z),y,y). (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). x != L(K(y,z),u,w) * K(v5,y) | K(v5,y) * L(K(y,z),u,w) = x. 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)). K(x,y) * L(K(y,x),z,u) = a(u,z,K(x,y)). 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) * K(L(y,z,u),x) = a(u,z * y,K(x,y)). (x * L(K(y,z),u,w)) * K(z,y) = x * a(w,u,K(z,y)). (x / (x / y)) * K(L(y,z,u),y \ x) = y * a(u,z * y,K(y \ x,y)). (1 * (((((x \ 1) \ 1) \ y) * z) / x)) / (1 / x) = ((x \ 1) * y) * L(z,x,x). K(x,x * y) * (L(y,z,u) * R(x,y,x)) = L(y,z,u) * T(x,y). K(x,x * y) * (R(y,z,u) * R(x,y,x)) = R(y,z,u) * T(x,y). K(x,L(L(y,z,y * K(z,y)),u,w)) = K(x,L(y,u,w)). K(x,L(L(y,z,y),u,w)) = K(x,L(y,u,w)). K(x,L(y,z,u)) = K(x,L(R(y,w,y),z,u)). K(x,L(R(y,z,y),u,w)) = K(x,L(y,u,w)). ((x \ y) * z) / (x \ 1) = x \ (y * (z / (x \ 1))). x * (y \ (x * ((y \ z) / (y \ 1)))) = z * (((y \ x) * (y \ x)) * y). x * (y \ (x * T(z,y))) = z * (((y \ x) * (y \ x)) * y). x * (((y \ z) * (y \ z)) * y) = z * (y \ (z * T(x,y))). x * ((y * (y \ z)) * (y \ z)) = z * (y \ (z * T(x,y))). x * (y * (z \ y)) = y * (z \ (y * T(x,z))). x * (y \ (x * T(z,y))) = z * (x * (y \ x)). x * y != (z \ x) * (x * (z \ x)) | (x \ z) \ (x / z) = y. (x \ y) \ (x / y) = y \ (x * T(y \ x,y)). x \ (y * T(x \ y,x)) = (y \ x) \ (y / x). x * (y \ (x * z)) = T(z,y) * (x * (y \ x)). T(x,y) * (z * (y \ z)) = z * (y \ (z * x)). x \ (y * (y / x)) = (y \ x) \ (y / x). (x \ y) \ (x / y) = y \ (x * (x / y)). (x / y) * T(x / y,x) = y \ (x * (x / y)). (x \ y) * (y \ (x * (x / y))) = x / y. (x \ y) \ (x / y) != z | (y \ x) * T(y \ x,x) = z. (x \ y) * T(x \ y,y) = x \ (y * (y / x)). (x \ (y \ x)) \ z != u | (T(y,x) \ 1) \ z = u. (T(x,y) \ 1) \ (y / (x \ y)) = (x \ y) \ (y * (y / (x \ y))). T(x,y) * (T(y,K(z,u)) \ 1) = K(z,u) * (y \ (K(z,u) * x)). (x \ y) * T(x \ y,y) != z | ((x / y) \ 1) * T((x / y) \ 1,y) = z. ((x / y) \ 1) * T((x / y) \ 1,y) = x \ (y * (y / x)). (T(x,y) \ 1) \ x = (x \ y) \ (y * (y / (x \ y))). (x \ y) \ (y * (y / (x \ y))) = (T(x,y) \ 1) \ x. x != (T(y,z) \ 1) \ y | y * T(y,z) = x. x * T(x,y) = (x \ y) \ (y * (y / (x \ y))). (x \ y) \ (y * (y / (x \ y))) = x * T(x,y). (x \ y) \ (y * (y / (x \ y))) != z | x * T(x,y) = z. (x \ y) \ (y * x) = x * T(x,y). ((x \ y) \ x) \ y = (x \ y) * T(x \ y,x). (x \ y) * T(x \ y,x) = ((x \ y) \ x) \ y. (x / y) \ (x * ((y \ x) \ x)) = ((y \ x) \ x) * T((y \ x) \ x,x). ((x \ y) \ y) * T((x \ y) \ y,y) = (y / x) \ (y * ((x \ y) \ y)). ((x \ 1) \ (y / x)) \ (x \ (x \ y)) = (x \ 1) * T(x \ 1,y / x). x != ((y \ z) \ y) \ u | ((z \ y) * y) \ u = x. ((x \ y) * y) \ x = (y \ x) * T(y \ x,y). (x \ y) * T(x \ y,x) = ((y \ x) * x) \ y. (x \ y) * (y / x) = ((y \ x) * x) \ y. ((x \ y) * y) \ x = (y \ x) * (x / y). ((K(x,y) * T(z,x)) * (z * x)) \ T(x,y) = ((z * x) \ T(x,y)) * (T(x,y) / (z * x)). ((T(x,y) \ (x * z)) * (x * z)) \ T(x,y) = ((T(x,y) * z) \ x) * (T(x,y) / (x * z)). ((x \ y) \ y) * T((x \ y) \ y,y) = (y / x) \ ((x \ 1) \ y). (x \ y) * T(x \ y,y) != z | x \ (y * (y / x)) = z. (x \ y) \ (y * (y / (x \ y))) = (y / x) \ ((x \ 1) \ y). x * T(x,y) = (y / x) \ ((x \ 1) \ y). (x / y) \ ((y \ 1) \ x) = y * T(y,x). (((x \ 1) \ y) / (y / x)) * (((x * T(x,y)) \ ((x \ 1) \ y)) * z) = ((y / x) \ ((x \ 1) \ y)) * ((y / x) * z). (x * (y * (1 / x))) \ (x \ (x \ y)) = (x \ 1) * T(x \ 1,y / x). (x * (y * (1 / x))) \ (x \ (x \ y)) = (x \ 1) * (T(x,y) \ 1). x != (y \ z) * (T(y,u) \ 1) | y \ (z / T(y,u)) = x. x \ (1 / T(x,y)) = (x * (y * (1 / x))) \ (x \ (x \ y)). (x * (y * (1 / x))) \ (x \ (x \ y)) = x \ (1 / T(x,y)). L(x,y,z) * K(u,L(x,y,z) \ x) != w | T(L(x,y,z) \ x,u) \ x = w. T(L(x,y,z) \ x,u) \ x = T(a(x \ 1,z,y) \ 1,u) \ x. (x * (T(x,y) * z)) \ ((x * T(x,y)) * z) = a(x,x,K(x,y) * z). a(x,x,K(x,y) * z) != u | a(x,T(x,y),z) = u. x * ((y \ z) * (y \ z)) != (u * (z / y)) * (z / y) | L(u,z / y,z / y) = x. L(x,y / z,y / z) = L(x,z \ y,z \ y). T(x,(y / z) \ 1) = L(T(x,y / z),z \ y,z \ y). L(T(x,y / z),z \ y,z \ y) = T(x,(y / z) \ 1). ((x / y) \ 1) \ 1 = L(x / y,y \ x,y \ x). L(x / y,y \ x,y \ x) = ((x / y) \ 1) \ 1. x / (1 / (y / z)) = L(x * (y / z),z \ y,z \ y). L(x * (y / z),z \ y,z \ y) = x / (1 / (y / z)). x \ y != L(z,u / w,u / w) | x * L(z,w \ u,w \ u) = y. x * L(x \ 1,y \ z,y \ z) = a(x,z / y,z / y). L(x,T(1 / y,z),z / (z * y)) = L(x,(z * y) \ z,(z * y) \ z). L(x,1 / y,1 / y) != z | L(x,y,y) = z. ((x / y) * ((x / y) * z)) * K(u,L(z,y \ x,y \ x)) = (x / y) * ((x / y) * T(z,u)). (x / y) * (((y \ x) * (y \ 1)) \ 1) = (L(y,y \ x,y \ x) \ 1) \ 1. L(x,T(1 / y,z),z / (z * y)) != u | L(x,y,y) = u. x != ((y / z) \ 1) \ 1 | (y \ 1) \ (z \ 1) = x. (x \ 1) \ (y \ 1) = L(x / y,y \ x,y \ x). L(x / y,y \ x,y \ x) = (x \ 1) \ (y \ 1). x != T(y,(z / u) \ 1) | T(y,u / z) = x. T(x,y / z) = L(T(x,z / y),y \ z,y \ z). L(T(x,y / z),z \ y,z \ y) = T(x,z / y). L(T(x,y / (1 / (y / z))),(1 / (y / z)) \ y,(1 / (y / z)) \ y) = T(x,1 / ((y * y) / z)). x * (1 / (x / y)) = x / (1 / (y / x)). x / (1 / (y / x)) = x * (1 / (x / y)). x \ (x * (1 / (x / T(y,x)))) = T(1 / (x / y),x \ 1). a(x,y \ z,y \ z) = a(x,z / y,z / y). a(x,y / z,y / z) = a(x,z \ y,z \ y). ((x / y) \ a(z,y \ x,y \ x)) * z = (x / y) \ z. ((1 / x) \ a(y,x,x)) * y = (1 / x) \ y. 1 / (x / T(y,x)) = T(1 / (x / y),x \ 1). T(1 / (x / y),x \ 1) = 1 / (x / T(y,x)). T(1 / (x / y),x \ 1) != z | T(y \ 1,x) \ (1 / x) = z. T(x \ 1,y) \ (1 / y) = 1 / (y / T(x,y)). T(x,y * T(y,z)) \ 1 = T(x \ 1,y * T(y,z)). T(x \ 1,y * T(y,z)) = T(x,y * T(y,z)) \ 1. T(T(x,y * T(y,z)) \ 1,u) = T(T(x \ 1,u),y * T(y,z)). T(T(x \ 1,y),z * T(z,u)) = T(T(x,z * T(z,u)) \ 1,y). L(x,(y * z) \ y,(y * z) \ y) != u | L(x,z,z) = u. (x / y) * (((y \ x) * (y \ 1)) \ 1) = ((x * ((y \ x) \ 1)) \ 1) \ 1. (x / y) * (((y \ x) * (y \ 1)) \ 1) = (1 / L(y,x,x)) \ 1. x != (y / z) \ y | z = x. L(x,y,y) = (y / x) * (((x \ y) * (x \ 1)) \ 1). (x / y) * (((y \ x) * (y \ 1)) \ 1) = L(y,x,x). (x / y) * ((y \ (x / y)) \ 1) = L(y,x,x). x != L(y * (y * z),u,u) | y * (y * L(z,u,u)) = x. x * (x * L(y,z,z)) = (z / (x * (x * y))) * (((x * (x * y)) \ (z / (x * (x * y)))) \ 1). (x / (y * (y * z))) * (((y * (y * z)) \ (x / (y * (y * z)))) \ 1) = y * (y * L(z,x,x)). (x \ 1) * T(x / (x \ 1),y) = x \ T(x * ((x \ 1) \ 1),y). x \ T(x * ((x \ 1) \ 1),y) = (x \ 1) * T(x / (x \ 1),y). x \ T((1 / x) \ x,y) = (x \ 1) * T(x / (x \ 1),y). (x \ 1) * T(x / (x \ 1),y) = x \ T((1 / x) \ x,y). (x \ 1) * T((1 / x) \ x,y) = x \ T((1 / x) \ x,y). T(T(x,y) * L(x \ z,u,w),x) = T(x,y) * L(x \ T(z,x),u,w). x != T(y,z) * L(y \ T(z,y),u,w) | T(y * L(y \ z,u,w),z) = x. T(x * L(x \ y,z,u),y) = T(T(x,y) * L(x \ y,z,u),x). 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(T(x,y) * R(x \ z,u,w),x) = T(x,y) * R(x \ T(z,x),u,w). x != T(y,y * z) * R(y \ T(y * z,y),u,w) | T(y * R(z,u,w),y * z) = x. T(x * R(y,z,u),x * y) = T(T(x,x * y) * R(x \ (x * y),z,u),x). T(T(x,x * y) * R(x \ (x * y),z,u),x) = T(x * R(y,z,u),x * y). (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)). L(L(x,y,z),z * y,K(z,u)) != w | L(x,y,T(z,u)) = w. L(x,y,K(z,x)) != u | x = u. L(x,y,z) = L(x,y,T(z,L(x,y,z))). L(x,y,T(z,L(x,y,z))) = L(x,y,z). L(x,y,T(z,z * y)) != u | L(x,y,z) = u. L(x,y,T(z,x)) = L(x,y,z). x \ y != L(z,u,T(w,z)) | x * L(z,u,w) = y. x * L(x \ 1,y,z) = a(x,T(z,x \ 1),y). a(x,T(y,x \ 1),z) = x * L(x \ 1,z,y). a(x,T(y,x \ 1),z) != u | a(x,y,z) = u. T(1 / T(x,x \ y),y * (1 / x)) = (y * (1 / x)) \ (x \ (x \ y)). T(x,y * (1 / z)) != u | T(x,y / z) = u. T(1 / T(x,x \ y),y / x) = (y * (1 / x)) \ (x \ (x \ y)). x != (y * (1 / z)) \ (z \ (z \ y)) | L(z \ 1,1 / z,y) = x. L(x \ 1,1 / x,y) = T(1 / T(x,x \ y),y / x). T(1 / T(x,x \ y),y / x) = L(x \ 1,1 / x,y). L(x \ 1,1 / x,y) != z | (y / x) \ ((x * x) \ y) = z. (x / y) \ ((y * y) \ x) = L(y,y,x) \ 1. ((x * y) * T(z,u)) / (y * T(z,u)) = R(R(x,y,z),y * z,K(z,u)). R(R(x,y,z),y * z,K(z,u)) = ((x * y) * T(z,u)) / (y * T(z,u)). x != ((y * z) * u) / (z * u) | R(y,z,u) = x. R(x,y,T(z,u)) = R(R(x,y,z),y * z,K(z,u)). R(R(x,y,z),y * z,K(z,u)) = R(x,y,T(z,u)). ((x \ y) * (x \ y)) \ (x \ (y / x)) = (1 / x) / (y * (1 / x)). ((x \ y) * (x \ y)) \ z != u | (y \ ((y / x) \ x)) * z = u. (x \ ((x / y) \ y)) * (y \ (x / y)) = (1 / y) / (x * (1 / y)). x != y / (z * y) | y \ (y / z) = x. (1 / x) \ ((1 / x) / y) = (y \ ((y / x) \ x)) * (x \ (y / x)). (x \ ((x / y) \ y)) * (y \ (x / y)) = (1 / y) \ ((1 / y) / x). x != (1 / y) \ ((1 / y) / z) | y \ (y / z) = x. x \ (x / y) = (y \ ((y / x) \ x)) * (x \ (y / x)). (x \ ((x / y) \ y)) * (y \ (x / y)) = y \ (y / x). (x \ (y \ x)) / (y \ x) = y \ (y / x). ((x \ y) * y) \ (x \ y) = x \ (x / y). x * y != ((z \ u) * u) \ (z \ u) | x \ (z \ (z / u)) = y. (x \ y) \ (x \ (x / y)) = T((x \ y) * y,x \ y) \ 1. T((x \ y) * y,x \ y) \ 1 = (x \ y) \ (x \ (x / y)). (x / ((y \ x) \ 1)) \ 1 = (y \ x) \ (y \ (y / x)). (x \ y) \ (x \ (x / y)) = (y / ((x \ y) \ 1)) \ 1. (x \ y) \ (x \ (x / y)) = ((x / y) \ y) \ 1. (((x \ 1) \ y) * (y * T(x,x \ 1))) / x = (x * (y / x)) * ((x \ 1) \ y). (x * (1 / (y * (z * ((x \ 1) \ 1))))) \ 1 != u | (y * (z * x)) / x = u. (x * (y * z)) / z = (z \ 1) \ (((z \ 1) * x) * y). (x \ 1) \ (((x \ 1) * y) * z) = (y * (z * x)) / x. x \ y != (z * (1 / (u * (w * ((z \ 1) \ 1))))) \ 1 | x * ((u * (w * z)) / z) = y. (x \ 1) * ((y * (z * x)) / x) = ((x \ 1) * y) * z. L(x \ ((y * (z * u)) / u),x,u \ 1) = ((u \ 1) * x) \ (((u \ 1) * y) * z). a(x \ 1,y,y) * ((z * (u * x)) / x) = L(x \ 1,y,y) \ (((x \ 1) * z) * u). L(x \ 1,y,y) \ (((x \ 1) * z) * u) = a(x \ 1,y,y) * ((z * (u * x)) / x). (x \ 1) * ((y * z) / x) = ((x \ 1) * y) * (z / x). ((x \ 1) * y) * (z / x) = (x \ 1) * ((y * z) / x). x * (((x \ 1) * y) * z) = (y * (z * x)) * (x \ 1). (x * (y * z)) * (z \ 1) = z * (((z \ 1) * x) * y). (1 / x) \ ((x * (x * ((1 / x) * y))) / (1 / x)) = y * ((x * (1 * x)) * x). K(x,x \ y) * L((x \ y) \ y,z,u) = x * a(T(1 / x,y),u,z). K(x,x \ y) * L((x \ y) \ y,z,u) = x * a(T(x \ 1,y),u,z). (x \ (x \ y)) * T(x \ (x \ y),y) = y * (x \ (x \ (x \ (x \ y)))). (x \ (x \ y)) * ((x * x) \ y) = y * (x \ (x \ (x \ (x \ y)))). (x \ (x \ y)) * ((x * x) \ y) != z | ((x * x) \ y) * (x \ (x \ y)) = z. ((x * x) \ y) * (x \ (x \ y)) = y * (x \ (x \ (x \ (x \ y)))). ((x * y) \ ((x * y) \ (x * ((1 / y) \ x)))) \ 1 = T(y,(x * y) * (x * y)). ((((1 / x) / y) \ 1) \ (x \ (y \ 1))) * 1 = (x \ (y \ 1)) * ((1 / x) / y). x != (y * (z \ (1 / z))) * (u * y) | y * (((z \ 1) * (z \ u)) * y) = x. x * (((y \ 1) * (y \ (1 / y))) * x) = (((1 / y) * x) * ((1 / y) * x)) / y. (((1 / x) * y) * ((1 / x) * y)) / x = y * (((x \ 1) * (x \ (1 / x))) * y). (x * x) * ((y * x) * L(y * x,x,x)) = (y * x) * (((x * x) * y) * x). (x * x) * ((y * x) * (y / (1 / x))) = (y * x) * (((x * x) * y) * x). (x * x) * ((y * x) * (y / (1 / x))) = (y * x) * ((x * x) * (y * x)). T(x * ((y \ z) * (y \ z)),y \ z) = ((z \ y) \ x) * (1 / (z \ y)). (x * (y * ((z \ (y \ (x \ u))) * z))) \ u = K(z,(x * (y * z)) \ u). ((x * y) * ((z \ ((x * y) \ u)) * z)) \ u = K(z,(x * (y * z)) \ u). K(x,(y * z) \ (x \ u)) = K(x,(y * (z * x)) \ u). K(x,(y * (z * x)) \ u) = K(x,(y * z) \ (x \ u)). K(x,(y * ((x \ z) * x)) \ u) != w | K(x,(y * z) \ u) = w. K(x,(y * z) \ u) = K(x,(y * (x \ z)) \ (x \ u)). K(x,(y * (x \ z)) \ (x \ u)) = K(x,(y * z) \ u). K(x,(y * (z * x)) \ u) != w | K(x,(y * (x * z)) \ u) = w. K(x,(y * (x * z)) \ u) = K(x,(y * z) \ (x \ u)). K(x,(y * z) \ u) = K(x,(y * (z / x)) \ (x \ u)). K(x,(y * (z / x)) \ (x \ u)) = K(x,(y * z) \ u). K(x,y \ (x \ (z * x))) != u | K(x,y \ z) = u. K(x,(y * (x \ z)) \ u) = K(x,(y * z) \ (u * x)). K(x,(y * (x \ 1)) \ (x \ z)) = K(x,y \ z). K(x,(y * (x \ 1)) \ z) = K(x,y \ (z * x)). L(K(x,(y * z) \ (x \ u)),w * x,v5) = K(L(x,w,v5),(y * (x * z)) \ u). K(x,(y * (z / x)) \ u) = K(x,(y * z) \ (u * x)). K(x,(y * z) \ (u * x)) \ 1 = K((y * (z / x)) \ u,x). K(x,K(y,(z * u) \ (y * y))) != w | K(x,K(z * (u / y),y)) = w. K((x * y) \ (z * u),u) = K((x * (y / u)) \ z,u). K((x * (y / z)) \ u,z) = K((x * y) \ (u * z),z). K((x * (y \ z)) \ u,y) = K((x * z) \ (u * y),y). K((x * ((y * z) / y)) \ u,y) != w | K((x * z) \ u,y) = w. K((x * y) \ z,u) = K((x * (u * y)) \ (z * u),u). K((x * (y * z)) \ (u * y),y) = K((x * z) \ u,y). K((x * (y \ 1)) \ z,y) = K(x \ (z * y),y). (K((x * y) \ (z * u),u) * w) \ w = K(u,T((x * (u \ y)) \ z,w)). K((x * (y \ 1)) \ z,u) != w | L(K(y * (x \ z),u),x \ z,x) = w. L(K(x * (y \ z),x),y \ z,y) = K(y \ (z * x),x). K((x * (y * z)) \ u,y) = K((x * z) \ (y \ u),y). K(a(x,y,z),y) = K((x * z) \ (y \ ((x * y) * z)),y). K((x * y) \ (z \ ((x * z) * y)),z) = K(a(x,z,y),z). K((x * y) \ (z \ ((x * z) * y)),z) != u | 1 = u. 1 = K(a(x,y,z),y). K(a(x,y,z),y) = 1. (1 / a(x,y,z)) * y = y / a(x,y,z). K(x,T((y * (x \ z)) \ u,w)) != v5 | K(x,T((y * z) \ (u * x),w)) = v5. (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 \ ((L(y,z,u) * (y \ x)) * y) = K(y \ x,y) * L(T(y,y \ x),z,u). K(x \ y,x) * L(T(x,x \ y),z,u) = y \ ((L(x,z,u) * (x \ y)) * x). K(x,T((T(x,y) * y) \ z,T(y,x))) = K(x,z / (x * ((x * y) / x))). K(x,T((T(x,y) * y) \ z,y)) = K(x,z / (x * ((x * y) / x))). ((T(x,y) \ 1) \ z) * T(x,u) = (x * x) * ((T(x,y) \ z) * T(x,u)). (x * x) * ((T(x,y) \ z) * T(x,u)) = ((T(x,y) \ 1) \ z) * T(x,u). (x * x) * (T(x,y) * (z / T(x,u))) = ((T(x,y) \ 1) \ z) * T(x,u). (1 / (L(T(x,y),z,u) \ x)) * K(x,y) = 1 / (L(T(x,y),z,u) \ T(x,y)). x != K(y,(z \ 1) * u) | K(y,z \ u) = x. K(x,y \ (y \ ((y * z) * u))) = K(x,T(z * (u * (y \ 1)),y \ 1)). K(x,T(y * (z * (u \ 1)),u \ 1)) = K(x,u \ (u \ ((u * y) * z))). K(x,T(y,z \ 1)) != u | K(x,T(y,z)) = u. K(x,T(y * (z * (u \ 1)),u)) = K(x,u \ (u \ ((u * y) * z))). L(K(x,y),z,u) * (K(y,w) * v5) = K(y,w) * (L(K(x,y),z,u) * v5). K(L(x,y,z),(u * (x * w)) \ v5) = K(L(x,y,z),(u * (w * x)) \ v5). K(L(x,y,z),(u * (w * x)) \ v5) = K(L(x,y,z),(u * (x * w)) \ v5). x * ((((x * y) \ 1) * ((x * y) \ 1)) / x) = (x \ 1) * (((x * y) \ 1) / y). (x * y) \ (y * T(T(z * x,z) / z,y)) = L(a(z,T(x,y),z),T(x,y),y). ((1 / x) \ y) * (y / (1 / x)) = x * (((x \ 1) \ y) * y). x != y * (((y \ 1) \ z) * z) | (y * z) * T(y * z,1 / y) = x. (x * y) * T(x * y,1 / x) = ((1 / x) \ y) * (y / (1 / x)). ((1 / x) \ y) * (y / (1 / x)) = (x * y) * T(x * y,1 / x). (x \ y) * (y / x) != z | (y * (y / x)) / x = z. (x * (x / (1 / y))) / (1 / y) = (y * x) * T(y * x,1 / y). (1 / x) * (x * ((y * (y / (1 / x))) * x)) = (x * y) * T(x * y,1 / x). x != (y * (z * ((1 / y) * u))) * y | (y * z) * (y * (u / y)) = x. (x * y) * (x * (y / x)) = x * (((y / (x \ 1)) / (1 / y)) * (1 / x)). x * (((y / (x \ 1)) / (1 / y)) * (1 / x)) = (x * y) * (x * (y / x)). x * ((y * ((1 / x) \ y)) * (1 / x)) = (x * y) * (x * (y / x)). x * ((1 / x) * ((y / (1 / x)) * y)) = (x * y) * (x * (y / x)). (x / (y / z)) * K(u,z \ y) != w | x / T(y / z,T(u,z)) = w. x / T(x / y,T(L(y,z,u),y)) = y * a(u,z * y,K(y \ x,y)). x / T(x / y,L(y,z,u)) = y * a(u,z * y,K(y \ x,y)). T(x * L(y,z,u),x * y) = T(T(x,x * y) * L(y,z,u),x). T(T(x,x * y) * L(y,z,u),x) = T(x * L(y,z,u),x * y). T(T(x,x * y) * R(y,z,u),x) = T(x * R(y,z,u),x * y). (x * ((y * y) * x)) / x = (x * (y / x)) * ((x \ 1) \ y). (x * (y / x)) * ((x \ 1) \ y) = (x * ((y * y) * x)) / x. x != (y * z) / y | T(z,y) = x. T((x * x) * y,y) = (y * (x / y)) * ((y \ 1) \ x). (x * (y / x)) * ((x \ 1) \ y) = T((y * y) * x,x). x != T((y * y) * z,z) | z * (y * y) = x. x * (y * y) = (x * (y / x)) * ((x \ 1) \ y). (x * (y / x)) * ((x \ 1) \ y) = x * (y * y). ((x \ (x / y)) / x) * ((x \ 1) \ ((x \ 1) / y)) = x * (((x \ 1) / y) * ((x \ 1) / y)). (1 / x) \ (((x \ 1) \ y) / (1 / x)) = y * ((x * (1 * x)) * x). x * (((x \ 1) \ y) * x) = y * ((x * (1 * x)) * x). (x * (x * y)) * x = y * ((x * (1 * x)) * x). x * ((y * (1 * y)) * y) = (y * (y * x)) * y. x * ((y * y) * y) = (y * (y * x)) * y. (x * (x * y)) * x = y * ((x * x) * x). (x * (y \ (1 / y))) * (1 / y) = x * (((1 / y) * (1 / y)) * (1 / y)). x * (((1 / y) * (1 / y)) * (1 / y)) = (x * (y \ (1 / y))) * (1 / y). x != (y * (z \ (1 / z))) * (1 / z) | z \ ((z \ y) / z) = x. x \ ((x \ y) / x) = y * (((1 / x) * (1 / x)) * (1 / x)). x * (((1 / y) * (1 / y)) * (1 / y)) = y \ ((y \ x) / y). x * ((y \ (1 / y)) * (1 / y)) = y \ ((y \ x) / y). x * ((y * y) \ (y \ 1)) = y \ ((y \ x) / y). (x * ((y * x) * x)) * ((x * x) \ (x \ 1)) != z | T(y,x \ (x \ (x \ 1))) = z. T(x,y \ (y \ (y \ 1))) = y \ ((y \ (y * ((x * y) * y))) / y). x \ ((x \ (x * ((y * x) * x))) / x) = T(y,x \ (x \ (x \ 1))). x * (y \ (y \ (1 / y))) = y \ ((y \ x) / y). x \ (((y * x) * x) / x) = T(y,x \ (x \ (x \ 1))). T(x,y \ (y \ (y \ 1))) = y \ (((x * y) * y) / y). T(x,y \ (y \ (y \ 1))) = y \ (x * y). T(x,y) = T(x,y \ (y \ (y \ 1))). T(x,y \ (y \ (y \ 1))) = T(x,y). ((x * y) \ T(T(x,y \ 1),x * y)) \ 1 = T(y,(x * y) * (x * y)). (T(x,y \ 1) * ((x * y) \ 1)) \ 1 = T(y,(x * y) * (x * y)). T(x,(y * x) * (y * x)) = (T(y,x \ 1) * ((y * x) \ 1)) \ 1. L(x,y * x,y * x) = (T(y,x \ 1) * ((y * x) \ 1)) \ 1. (x \ (y \ 1)) * ((1 / x) / y) != z | z = (((1 / x) / y) \ 1) \ (x \ (y \ 1)). (x \ (y \ 1)) * ((1 / x) / y) != z | (((1 / x) / y) \ 1) \ (x \ (y \ 1)) = z. K(L(x,y,z),(u * (x * w)) \ v5) != v6 | K(L(x,y,z),(u * w) \ (x \ v5)) = v6. K(x,y) * L(T(z,x),u,w) != v5 | T(K(x,y) * L(z,u,w),x) = v5. T(K(x \ y,x) * L(x,z,u),x \ y) = y \ ((L(x,z,u) * (x \ y)) * x). x * (((x * y) \ (1 / (x * y))) / x) = (x \ 1) * (((x * y) \ 1) / y). (x * y) \ ((T(z * x,z) / z) * y) = L(a(z,T(x,y),z),T(x,y),y). L(a(x,T(y,z),x),T(y,z),z) = (y * z) \ ((T(x * y,x) / x) * z). x != (y * z) \ ((T(u * y,u) / u) * z) | R(a(u,y,u),y,z) = x. R(a(x,y,x),y,z) = L(a(x,T(y,z),x),T(y,z),z). L(a(x,T(y,z),x),T(y,z),z) = R(a(x,y,x),y,z). L(a(x,y,x),T(y * K(z,y),z),z) = R(a(x,y * K(z,y),x),y * K(z,y),z). R(a(x,y * K(z,y),x),y * K(z,y),z) = L(a(x,y,x),T(y * K(z,y),z),z). (1 / x) * y != (x * z) * T(x * z,1 / x) | (x * z) * (x * ((x \ 1) \ z)) = y. (x * y) * (x * ((x \ 1) \ y)) = x * ((y * (y / (1 / x))) * x). (x * ((y * (y / (1 / x))) * x)) * x = ((x * y) * x) * ((x * y) * x). T(K(x \ y,x) * z,x \ y) != u | (y / x) \ (z * (x \ y)) = u. (x / y) \ (L(y,z,u) * (y \ x)) = x \ ((L(y,z,u) * (y \ x)) * y). (x \ (x \ (x \ 1))) * ((x * (x * x)) * y) = L(y,x * (x * x),x * (x * x)). 1 / (x * (1 / L(x,y,z))) = (1 / x) / (L(x,y,z) \ 1). (1 / x) / (L(x,y,z) \ 1) = 1 / (x * (1 / L(x,y,z))). x != 1 / (y * (1 / L(y,z,u))) | (y \ 1) * L(y,z,u) = x. (x \ 1) * L(x,y,z) = (1 / x) / (L(x,y,z) \ 1). (1 / x) / (L(x,y,z) \ 1) = (x \ 1) * L(x,y,z). 1 = a(x,y,K(x * y,z)). a(x,y,K(x * y,z)) = 1. a(x,y,K(z,x * y)) = 1. L(x,y / z,y / z) != u | L(x,z \ y,z \ y) = u. L(x * (1 / T(y / z,y)),z \ y,z \ y) = (y \ z) * T(x,T(y / z,y)). K(x,y) * T(z \ (y * x),K(y,x)) = a(y,x,y) \ (z \ T(y * x,y)). a(x,y,x) \ (z \ T(x * y,x)) = K(y,x) * T(z \ (x * y),K(x,y)). T(K(x,y) * (z \ (y * x)),K(y,x)) = a(y,x,y) \ (z \ T(y * x,y)). L(x \ (y / z),x,z \ 1) != u | (x \ y) / z = u. (x \ (y * (z * u))) / u = ((u \ 1) * x) \ (((u \ 1) * y) * z). ((x \ 1) * y) \ (((x \ 1) * z) * u) = (y \ (z * (u * x))) / x. ((x \ 1) * y) \ (((x \ 1) * z) * 1) = (y \ (z * x)) / x. ((x \ 1) * y) \ ((x \ 1) * z) = (y \ (z * x)) / x. L(x,y,z \ 1) = (y \ ((y * x) * z)) / z. (x \ ((x * y) * z)) / z = L(y,x,z \ 1). ((L(x,y,y) * z) * y) / (z * y) = L(x,y,(z * y) \ 1). (x * (((x \ y) * (z * x)) / x)) / z = L(y,x \ (x \ 1),z \ 1). R(L(x,y,y),z,y) = L(x,y,(z * y) \ 1). L(R(x,y,z),z,z) = L(x,z,(y * z) \ 1). K(L(x,y,z),(u * (w * x)) \ v5) != v6 | K(L(x,y,z),(u * w) \ (x \ v5)) = v6. (x \ (x \ (x \ 1))) * (x * ((y * x) * x)) = L(y,x * (x * x),x * (x * x)). L(x * (1 / T(y / z,y)),z \ y,z \ y) = (y \ z) * T(x,z \ y). L(x * (1 / T(y / z,y)),z \ y,z \ y) != u | x / ((y \ z) \ 1) = u. (x \ (x \ (x \ 1))) * y != z | x \ (x \ (x \ y)) = z. x \ (x \ (x \ (x * ((y * x) * x)))) = L(y,x * (x * x),x * (x * x)). x \ (x \ ((y * x) * x)) = L(y,x * (x * x),x * (x * x)). L(x,y * (y * y),y * (y * y)) = y \ (y \ ((x * y) * y)). L(x,y * (y * y),y * (y * y)) = y \ T(x * y,y). L(x,y,y) = L(x,y * (y * y),y * (y * y)). L(x,y * (y * y),y * (y * y)) = L(x,y,y). T(x \ 1,y) \ (T(1 / x,y) \ z) = ((x \ y) \ y) * (((x \ y) \ y) * z). x * (((y \ z) \ z) * ((y \ z) \ z)) = T(y \ 1,z) \ (T(1 / y,z) \ x). T(x \ 1,y) \ (T(1 / x,y) \ z) = z * (((x \ y) \ y) * ((x \ y) \ y)). T(x \ 1,y) \ (T(1 / x,y) \ z) = z * (x * x). x * (x * y) = T(x \ 1,z) \ (T(1 / x,z) \ y). T(x \ 1,y) \ (T(1 / x,y) \ z) = x * (x * z). (1 / (((x \ 1) \ 1) * y)) * T(y,x \ 1) = T(y,x \ 1) * ((y * x) \ 1). (((x \ 1) \ 1) \ (y \ 1)) * T(x,y \ 1) = T(x,y \ 1) * ((x * y) \ 1). (((x \ 1) \ 1) \ y) * T(x,z) != u | (1 / x) * (y * T(x,z)) = u. (1 / x) * ((y \ 1) * T(x,y \ 1)) = T(x,y \ 1) * ((x * y) \ 1). (1 / x) * (x * (y \ 1)) = T(x,y \ 1) * ((x * y) \ 1). T(x,y \ 1) * ((x * y) \ 1) = (1 / x) * (x * (y \ 1)). x != (1 / y) * (y * z) | L(z,y,y) = x. L(x \ 1,y,y) = T(y,x \ 1) * ((y * x) \ 1). T(x,y \ 1) * ((x * y) \ 1) = L(y \ 1,x,x). x != L(y \ 1,z,z) | L(y,z,z) \ 1 = x. L(x,y,y) \ 1 = T(y,x \ 1) * ((y * x) \ 1). T(x,y \ 1) * ((x * y) \ 1) = L(y,x,x) \ 1. L(x,y * x,y * x) = (L(x,y,y) \ 1) \ 1. x != (L(y,z,z) \ 1) \ 1 | z * ((y \ z) \ 1) = x. x * ((y \ x) \ 1) = L(y,x * y,x * y). L(x,y * x,y * x) = y * ((x \ y) \ 1). L(x,(x * y) * T(z,x),(x * (y * (x \ z))) * x) = (x * (y * (x \ z))) * ((x \ (x * (y * (x \ z)))) \ 1). L(x,y * T(x * z,x),(x * ((x \ y) * z)) * x) = (x * ((x \ y) * z)) * ((x \ (x * ((x \ y) * z))) \ 1). (x * ((1 / x) * y)) \ (x * ((1 / x) * (y * z))) = L(L(z,y,x),x * y,x \ 1). K(x,y) * (L(K(y,x),z,u) * w) = (K(x,y) * L(K(x,y) \ 1,z,u)) * w. (K(x,y) * L(K(x,y) \ 1,z,u)) * w = K(x,y) * (L(K(y,x),z,u) * w). (K(x,y) * L(K(y,x),z,u)) * w = K(x,y) * (L(K(y,x),z,u) * w). a(x,y,K(z,u)) * w = K(z,u) * (L(K(u,z),y,x) * w). K(x,y) * (L(K(y,x),z,u) * w) = a(u,z,K(x,y)) * w. K(x,y) * (L(K(z,x),u,w) * v5) != v6 | L(K(z,x),u,w) * (K(x,y) * v5) = v6. L(K(x,y),z,u) * (K(y,x) * w) = a(u,z,K(y,x)) * w. ((((x \ 1) \ y) \ y) \ 1) * (y / (x \ 1)) = (y / (x \ 1)) * ((y * (1 / x)) \ y). (1 / x) * ((y * x) * (y * x)) = x * ((y * ((1 / x) \ y)) * (1 / x)). x * ((y * ((1 / x) \ y)) * (1 / x)) = (1 / x) * ((y * x) * (y * x)). x * ((1 / x) * ((y / (1 / x)) * y)) = (1 / x) * ((y * x) * (y * x)). ((x \ 1) \ 1) \ ((x \ ((1 / x) * (y * x))) / x) = (1 / x) * ((1 / x) * ((1 / x) * y)). (x * ((x \ 1) \ x)) * T(y,(x \ (1 / x)) / x) = y / (((x \ (1 / x)) \ x) \ 1). ((x \ 1) * T(x \ 1,y)) * ((y \ 1) \ 1) = ((y \ x) \ 1) * (x \ 1). (x \ T(1 / x,y)) * ((y \ 1) \ 1) = ((y \ x) \ 1) * (x \ 1). (x \ T(1 / x,y)) * ((y \ 1) \ 1) != z | x \ (1 / (x / y)) = z. T(x \ y,z / (y \ x)) \ (z * ((y \ x) \ 1)) = (x \ y) \ ((y \ x) \ z). K(x,(y / z) \ (u \ 1)) / (u * (y / z)) = T(((y \ 1) \ (z \ 1)) \ (1 / u),x). T(x,y) * (T(x,y) * ((y * y) * T(x,y))) = (y * x) * (y * (x * x)). x * (x * ((y * y) * T(x,y))) = (y * x) * (y * (x * x)). x * (x * ((y * x) * y)) = (y * x) * (y * (x * x)). (x * y) * (x * (y * y)) = y * (y * ((x * y) * x)). T(x * (y * y),x * y) * (x * y) = y * (y * ((x * y) * x)). ((1 / (x * y)) \ x) * (y * x) = x * (x * ((y * x) * y)). x \ ((T(y \ 1,x) * (y \ 1)) / x) = (y \ (x \ 1)) * (y \ (x \ 1)). x \ ((y \ T(1 / y,x)) / x) = (y \ (x \ 1)) * (y \ (x \ 1)). x \ (y \ (1 / (y * x))) = (y \ (x \ 1)) * (y \ (x \ 1)). (x \ (y \ 1)) * (x \ (y \ 1)) = y \ (x \ (1 / (x * y))). (x \ (y \ 1)) * (x \ (y \ 1)) != z | (x \ (1 / y)) * (x \ (1 / y)) = z. (x \ (1 / y)) * (x \ (1 / y)) = y \ (x \ (1 / (x * y))). L(x * (y * (1 / z)),z,z) = (z \ 1) * ((1 / z) * T((z * x) * y,z)). (x \ 1) * ((1 / x) * T((x * y) * z,x)) = L(y * (z * (1 / x)),x,x). (x \ 1) * (((x * y) * z) / x) = L(y * (z * (1 / x)),x,x). (x \ 1) * ((y * z) / x) != u | ((x \ 1) * y) * (z / x) = u. ((x \ 1) * (x * y)) * (z / x) = L(y * (z * (1 / x)),x,x). (x * ((1 / x) * y)) * (z / x) = L(y * (z * (1 / x)),x,x). (x \ 1) \ (L(x,y,z) * u) = (x * L(x,y,z)) * L(L(u,L(x,y,z),x),x,x). (x * L(x,y,z)) * L(L(u,L(x,y,z),x),x,x) = (x \ 1) \ (L(x,y,z) * u). x * (L(x,y,z) * L(u,x,x)) = (x \ 1) \ (L(x,y,z) * u). K(x,y) * (R(T(y,z),u,w) * (K(y,x) * v5)) = R(T(y,z),u,w) * v5. (x * (y * L(x,z,u))) \ ((x * y) * L(x,z,u)) = x \ R(x,y,L(x,z,u)). a(x,y,L(x,z,u)) = x \ R(x,y,L(x,z,u)). x \ R(x,y,L(x,z,u)) = a(x,y,L(x,z,u)). K(x,y) * K(y * L(x,z,u),x) = a(x,y,L(x,z,u)). R(x,y,L(x,z,u)) / x = a(x,y,L(x,z,u)). a(x,y,L(x,z,u)) != w / x | R(x,y,L(x,z,u)) = w. K(x,y) * a(y,x,L(y,z,u)) = K(x * L(y,z,u),y). K(x,y) * K(y * L(x,z,u),x) != w | L(x,y,L(x,z,u)) \ x = w. L(x,y,L(x,z,u)) \ x = a(x,y,L(x,z,u)). K(x * L(y,z,u),y) != K(x,y) * w | a(y,x,L(y,z,u)) = w. x * ((y \ (x / y)) / x) != z | (y \ x) / y = z. (x \ (1 / y)) / x = y * ((1 / y) * ((x \ (1 / y)) / x)). x * ((1 / x) * ((y \ (1 / x)) / y)) = (y \ (1 / x)) / y. (x \ (T(1 / x,y) * (z * x))) / x = ((x \ 1) * (x \ 1)) * (K(1 / x,y) * z). (T(L(x,y,z) \ x,u) \ 1) * x = T(a(x \ 1,z,y) \ 1,u) \ x. T(a(x \ 1,y,z) \ 1,u) \ x = (T(L(x,z,y) \ x,u) \ 1) * x. T(a(x \ 1,y,z) \ 1,u) \ x != w * x | T(L(x,z,y) \ x,u) \ 1 = w. (x \ 1) \ (x * (y * ((y * x) * x))) = L(x * (x * y),x,x) * ((y * x) * x). L(x * (x * y),x,x) * ((y * x) * x) = (x \ 1) \ (x * (y * ((y * x) * x))). x != (y \ 1) \ (y * z) | (y * y) * z = x. (x * x) * (y * ((y * x) * x)) = L(x * (x * y),x,x) * ((y * x) * x). L(x * (x * y),x,x) * ((y * x) * x) = (x * x) * (y * ((y * x) * x)). ((x \ 1) \ (x * y)) * ((y * x) * x) = (x * x) * (y * ((y * x) * x)). ((x * x) * y) * ((y * x) * x) = (x * x) * (y * ((y * x) * x)). ((x * x) * y) * ((y * x) * x) != z | x * (x * (y * ((y * x) * x))) = z. x * (x * (y * ((y * x) * x))) = (x * x) * (y * ((y * x) * x)). (x * x) * (y * ((y * x) * x)) = x * (x * (y * ((y * x) * x))). x != y * (y * (z * ((z * y) * y))) | ((y * z) * y) * ((y * z) * y) = x. ((x * y) * x) * ((x * y) * x) = (x * x) * (y * ((y * x) * x)). ((x * ((x * y) * y)) * y) * y = ((y * x) * y) * ((y * x) * y). x * y != ((y * z) * y) * ((y * z) * y) | y * ((z * (z / (1 / y))) * y) = x. x * ((y * (y / (1 / x))) * x) = (y * ((y * x) * x)) * x. (x * x) \ ((y * ((y * x) * x)) * x) = L(T(y * (y / (1 / x)),x),x,x). (x * ((x * y) * y)) / y = L(T(x * (x / (1 / y)),y),y,y). L(T(x * (x / (1 / y)),y),y,y) = (x * ((x * y) * y)) / y. L(((x \ 1) \ y) * y,x,x) = (y * ((y * x) * x)) / x. L(((x \ 1) \ y) * z,x,x) != u | (x * y) * L(z,x,x) = u. (x * y) * L(y,x,x) = (y * ((y * x) * x)) / x. (x * ((x * y) * y)) / y = (y * x) * L(x,y,y). x != (y * z) * L(z,y,y) | ((1 / y) \ z) * z = x. ((1 / x) \ y) * y = (y * ((y * x) * x)) / x. (x * ((x * y) * y)) / y = ((1 / y) \ x) * x. (L(x,y,y) \ 1) \ (((x \ 1) * z) * u) = a(x \ 1,y,y) * ((z * (u * x)) / x). R(a(x,y * K(z,y),x),y * K(z,y),z) = L(a(x,y,x),y,z). L(L(x,y,1 / z),(1 / z) * y,z) = L(L(x,y,z),z * y,z \ 1). ((1 / T(x,y)) \ 1) * (y / (x \ 1)) = (y / (x \ 1)) * ((y * (1 / x)) \ y). T(x,y) * (y / (x \ 1)) = (y / (x \ 1)) * ((y * (1 / x)) \ y). (x / (y \ 1)) * ((x * (1 / y)) \ x) = T(y,x) * (x / (y \ 1)). x != T(y,z) * (u / (y \ 1)) | (T(y,z) * u) * y = x. (T(x,y) * y) * x = (y / (x \ 1)) * ((y * (1 / x)) \ y). (x / (y \ 1)) * ((x * (1 / y)) \ x) = (T(y,x) * x) * y. (x / (y \ 1)) * ((x * (1 / y)) \ x) = (x * y) * y. x * ((x * y) * y) = (x / (y \ 1)) * T(x / (y \ 1),x). (x / (y \ 1)) * T(x / (y \ 1),x) = x * ((x * y) * y). (x / y) * T(x / y,x) != z | y \ (x * (x / y)) = z. (x \ 1) \ (y * (y / (x \ 1))) = y * ((y * x) * x). x * y != (z \ 1) \ (u * (u / (z \ 1))) | (u * ((u * z) * z)) / y = x. (x * ((x * y) * y)) / y = y * ((x * (x / (y \ 1))) / y). x * ((y * (y / (x \ 1))) / x) = (y * ((y * x) * x)) / x. x != (y * ((y * z) * z)) / z | ((1 / z) \ y) * y = x. ((1 / x) \ y) * y = x * ((y * (y / (x \ 1))) / x). x * ((y * (y / (x \ 1))) / x) = ((1 / x) \ y) * y. x * (x * ((x \ y) * y)) = ((1 / x) \ y) * y. (x * (x * x)) * T(y,(x \ (1 / x)) / x) = y / (((x \ (1 / x)) \ x) \ 1). (x * (x * x)) * T(y,x \ (x \ (x \ 1))) = y / (((x \ (1 / x)) \ x) \ 1). x * ((T(y,x \ (x \ (x \ 1))) * x) * x) = y / (((x \ (1 / x)) \ x) \ 1). x * ((y * z) * z) != u | x * ((z * z) * y) = u. x * ((x * x) * T(y,x \ (x \ (x \ 1)))) = y / (((x \ (1 / x)) \ x) \ 1). x * ((x * x) * T(y,x \ (x \ (x \ 1)))) = y / (x \ (x \ (1 / x))). x * ((x * x) * T(y,x)) = y / (x \ (x \ (1 / x))). x / (y \ (y \ (1 / y))) = y * ((y * y) * T(x,y)). x / (y \ (y \ (1 / y))) = y * ((y * x) * y). (x \ (T(1 / x,y) * (z * x))) / x = (x \ (1 / x)) * (K(1 / x,y) * z). (x \ (T(1 / x,y) * (z * x))) / x = (x \ (1 / x)) * (K(y,1 / x) * z). (x \ (T(1 / x,y) * (z * x))) / x = (x \ (1 / x)) * (K(y,x \ 1) * z). x != (y \ (1 / y)) * z | (y \ 1) * (y \ z) = x. (x \ 1) * (x \ (K(y,x \ 1) * z)) = (x \ (T(1 / x,y) * (z * x))) / x. (x \ (T(1 / x,y) * (z * x))) / x = (x \ 1) * (x \ (K(y,x \ 1) * z)). (x \ (T(1 / x,y) * (z * x))) / x = (x \ 1) * (T(x,x * y) \ z). (((x \ T(1 / x,y)) * z) * x) / x = (x \ 1) * (T(x,x * y) \ z). (x \ T(1 / x,y)) * z = (x \ 1) * (T(x,x * y) \ z). (x \ 1) * (T(x,x * y) \ z) = (x \ T(1 / x,y)) * z. (x \ 1) * (T(x,x * y) \ z) != u | T(x \ 1,y) * (x \ z) = u. T(x \ 1,y) * (x \ z) = (x \ T(1 / x,y)) * z. (x \ T(1 / x,y)) * z = T(x \ 1,y) * (x \ z). (x \ T(1 / x,y)) \ z = x * (T(x \ 1,y) \ z). x * ((y \ 1) \ 1) != z | (y \ (1 / x)) \ 1 = z. (x \ (1 / (y \ T(1 / y,z)))) \ 1 = T(y \ 1,z) * (y \ ((x \ 1) \ 1)). ((x \ y) * T(x \ y,z)) * u = T((y \ x) \ 1,z) * ((y \ x) \ u). T((x \ y) \ 1,z) * ((x \ y) \ u) = ((y \ x) * T(y \ x,z)) * u. T(x \ 1,y) * (x \ ((y \ 1) \ 1)) != z | x \ (1 / (x / y)) = z. ((x \ 1) * T(x \ 1,y)) \ z = x * (T(x \ 1,y) \ z). (((x / y) \ 1) * T((x / y) \ 1,y)) \ z = (x / y) * ((x \ y) \ z). ((x \ 1) * T(x \ 1,x \ y)) \ z = x * ((T(x,y) \ 1) \ z). ((x \ 1) * (T(x,y) \ 1)) \ z = x * ((T(x,y) \ 1) \ z). (x \ (1 / T(x,y))) \ z = x * ((T(x,y) \ 1) \ z). T((x \ y) \ 1,x) * ((x \ y) \ z) != u | (x \ y) \ ((x / y) * z) = u. (x \ y) \ ((x / y) * z) = ((y \ x) * T(y \ x,x)) * z. ((x \ y) * T(x \ y,y)) * z = (y \ x) \ ((y / x) * z). (x \ (y * (y / x))) * z = (y \ x) \ ((y / x) * z). (x \ y) \ ((x / y) * z) = (y \ (x * (x / y))) * z. (x \ (y * (y / x))) \ z = (x / y) * ((x \ y) \ z). (x \ (y * (y / x))) * z = (x \ y) * ((x / y) \ z). ((x * (y * (1 / x))) \ ((x \ y) * ((x \ y) / (x * (y * (1 / x)))))) \ z = ((x * (y * (1 / x))) / (x \ y)) * ((1 / x) \ z). (x \ (y * (y / x))) * z != u | (y \ x) \ ((y / x) * z) = u. (x \ y) \ ((x / y) * z) = (y \ x) * ((y / x) \ z). (((x \ y) * (y \ (x * (x / y)))) * z) * (y \ x) = (y / x) \ (z * ((x \ y) \ 1)). x \ y != (z \ (u * (u / z))) * w | x * ((z \ u) * ((z / u) \ w)) = y. (x \ y) * ((y \ x) * ((y / x) \ z)) = (x / y) * z. (x \ y) * ((y \ x) * z) = (x / y) * ((y / x) * z). (x / y) * ((y / x) * z) = (x \ y) * ((y \ x) * z). (x / y) * ((y / x) * K(x,z)) = (x \ y) * (y \ T(x,z)). (x / y) * (y / T(x,z)) = (x \ y) * (y \ T(x,z)). 1 / ((x \ y) \ ((y \ T(x,z)) \ ((x \ y) \ 1))) = ((x / y) * (y / T(x,z))) * (x \ y). (T(x,y) \ z) \ ((x \ z) / (T(x,y) \ z)) = (z \ T(x,y)) * ((x / z) * (z / T(x,y))). (L(x,y,y) \ 1) \ (((x \ 1) * z) * u) = a(x,y,y) * ((z * (u * x)) / x). ((x / y) * z) * (y \ x) = (y / x) \ (z * ((x \ y) \ 1)). (x / y) \ (z * ((y \ x) \ 1)) = ((y / x) * z) * (x \ y). (((x * y) * T((x * y) \ y,z)) * u) / (y * u) = K(z,1 / R(x,y,u)). ((x * K(y,T(z,x) \ 1)) * u) / (x * u) = K(y,1 / R(z,x,u)). R(T(K(x,T(y,z) \ 1),z),z,u) = K(x,1 / R(y,z,u)). R(K(x,T(T(y,z) \ 1,z)),z,u) = K(x,1 / R(y,z,u)). R(K(x,y \ 1),z,u) = K(x,1 / R(y,z,u)). x != K(y,1 / z) | K(y,z \ 1) = x. K(x,R(y,z,u) \ 1) = R(K(x,y \ 1),z,u). R(K(x,y \ 1),z,u) = K(x,R(y,z,u) \ 1). R(K(x,y),x,z) != u | K(x,y) = u. K(x,y \ 1) = K(x,R(y,x,z) \ 1). K(x,R(y,x,z) \ 1) = K(x,y \ 1). R(K(x,y),z,u) = K(x,R(y \ 1,z,u) \ 1). K(x,R(y \ 1,z,u) \ 1) = R(K(x,y),z,u). R(K(x,y / z),u,w) = K(x,R(z / y,u,w) \ 1). K(x,R(y / z,u,w) \ 1) = R(K(x,z / y),u,w). K(x,R(R(y,x,z),u,w) \ 1) = K(x,R(y,u,w) \ 1). R(K(x,y),z,u) * w = R(K(y,x),z,u) \ w. R(K(x,y),z,u) \ w = R(K(y,x),z,u) * w. (x * R(K(y,z),u,w)) \ x = R(K(z,y),u,w). R(K(x,y),z,u) \ 1 = R(K(y,x),z,u). R(K(x,y),z,u) \ 1 != w | w = R(K(y,x),z,u). R(K(x,y),z,u) \ 1 != w | R(K(y,x),z,u) = w. K(x,R(y,y \ z,u)) = R(K(x,y),z,u). ((x * y) \ ((x * K(z,u)) * y)) \ 1 = R(K(T(T(u,x),x * y),z),x,y). R(K(T(T(x,y),y * z),u),y,z) = ((y * z) \ ((y * K(u,x)) * z)) \ 1. K(x,R(y,z,u)) = R(K(x,y),y * z,u). R(K(x,y),y * z,u) = K(x,R(y,z,u)). K(x,(y * z) / ((u \ y) * z)) = R(K(x,u),y,z). K(x,y) = K(x,R(y,z,x)). K(x,R(y,z,x)) = K(x,y). K(x,R(y,z,u)) * ((y * z) * u) = (K(x,y) * (y * z)) * u. R(K(x,y),T(y,z) * u,w) = K(T(x,z),R(T(y,z),u,w)). K(x,K(y,R(x,z,u)) * w) = K(x,w). R(K(x,y),T(y,T(z,u)) * u,w) = K(x,R(y,u * K(y,z),w)). K(x,y / (z * x)) = K(x,(y / x) / z). K(x,(y / x) / z) = K(x,y / (z * x)). K(x,(y * x) / z) = K(x,y / (z / x)). K(x,y * K(z,R(x,u,w))) = K(x,y). K(x,y / (z / R(x,u,w))) = K(x,y / (R(x,u,w) \ z)). K(x,T(y,T(z,R(x,u,w)))) = K(x,T(y,z)). K(x,(y / x) / z) != u | K(x,(x \ y) / z) = u. K(x,(x \ y) / z) = K(x,y / (z * x)). x != K(y,z / (u / y)) | K(y,z / (y \ u)) = x. K(x,y / (x \ z)) = K(x,(y * x) / z). K(x,(y * x) / z) = K(x,y / (x \ z)). x != K(y,z / ((y \ u) * y)) | K(y,z / u) = x. 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,(x * y) / z). K(x,(x * y) / z) = K(x,y / (x \ z)). K(x,T(y,R(x,z,u) \ w)) = K(x,T(y,w / R(x,z,u))). K(x,T(y,z / R(x,u,w))) = K(x,T(y,R(x,u,w) \ z)). (x * R(K(y,z),u,w)) * R(K(z,y),u,w) != v5 | x = v5. K(x,(y * z) / (u * z)) = R(K(x,y / u),y,z). R(K(x,y / z),y,u) = K(x,(y * u) / (z * u)). K(x,(y * z) / u) = R(K(x,y / (u / z)),y,z). R(K(x,y / (z / u)),y,u) = K(x,(y * u) / z). R(K(x,(y / z) / u),y / z,z) = K(x,y / (u * z)). K(x,x / (y / z)) = K(x,(x * z) / y). K(x,(x * y) / z) = K(x,x / (z / y)). x != K(y,y / z) | K(y,z \ y) = x. K(x,(y / z) \ x) = K(x,(x * z) / y). K(x,(x * y) / z) = K(x,(z / y) \ x). K(x,(x * y) / z) != u | K(x,(z / y) \ x) = u. K(x,(x * y) / z) != u | K(x,y / (x \ z)) = u. K(x,y / (x \ z)) = K(x,(z / y) \ x). K(x,(x / L(y,z,u)) * y) = K(x,(L(y,z,u) / y) \ x). K(x,(L(y,z,u) / y) \ x) = K(x,(x / L(y,z,u)) * y). K(x,y / (x \ z)) != u | K(x,(y * x) / z) = u. K(x,(y * x) / z) = K(x,(z / y) \ x). K(x,T(y \ (z * x),y)) = K(x,(y / z) \ x). K(x,(((y * z) * u) / ((x * z) * u)) \ 1) = K(x,R(y / x,x * z,u) \ 1). K(x,R(y / x,x * z,u) \ 1) = K(x,(((y * z) * u) / ((x * z) * u)) \ 1). R(K(x,(y / (z / u)) \ x),z / u,u) = K(x,z / ((x \ y) * u)). x != K(T(y,z),R(T(u,z),w,v5)) | K(y,R(u,w,v5)) = x. 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)). R(K(x,y),T(y,z) * u,w) != v5 | K(x,R(y,u,w)) = v5. R(K(x,y),z,u) = K(x,R(y,T(y,w) \ z,u)). K(x,R(y,T(y,z) \ u,w)) = R(K(x,y),u,w). R(K(x,y),z * y,u) = K(x,R(y,z,u)). (x * R(K(y,z),u,w)) \ x = K(R(z,T(z,v5) \ u,w),y). K(R(x,T(x,y) \ z,u),w) = (v5 * R(K(w,x),z,u)) \ v5. R(K(x,y),y * z,u) != w | K(x,R(y,z,u)) = w. K(x,(y \ L(y,z,u)) \ x) = K(x,(x / L(y,z,u)) * y). x != (y * R(K(z,u),w,v5)) \ y | R(K(u,z),w,v5) = x. R(K(x,y),z,u) = K(R(x,T(x,w) \ z,u),y). K(R(x,T(x,y) \ z,u),w) = R(K(x,w),z,u). K(R(x,x \ y,z),u) = R(K(x,u),K(x,w) * y,z). R(K(x,y),K(x,z) * u,w) = K(R(x,x \ u,w),y). x != K(R(y,y \ z,u),w) | R(K(y,w),z,u) = x. R(K(x,y),z,u) = R(K(x,y),K(x,w) * z,u). R(K(x,y),K(x,z) * u,w) = R(K(x,y),u,w). R(K(x,y),z,u) = R(K(x,y),T(z,x),u). R(K(x,y),T(z,x),u) = R(K(x,y),z,u). K(x,R(y,z,u)) = K(x,R(y,z * K(y,w),u)). K(x,R(y,z * K(y,u),w)) = K(x,R(y,z,w)). K(x,R(y,K(y,z) * u,w)) = K(x,R(y,u,w)). (x * K(y,R(z,u,w))) \ x = K(R(z,K(z,v5) * u,w),y). K(R(x,K(x,y) * z,u),w) = (v5 * K(w,R(x,z,u))) \ v5. x != (y * K(z,u)) \ y | K(u,z) = x. K(R(x,y,z),u) = K(R(x,K(x,w) * y,z),u). K(R(x,K(x,y) * z,u),w) = K(R(x,z,u),w). K(R(x,K(y,x) * z,u),w) = K(R(x,z,u),w). R(K(T(x,y),T(z,y * u)),y,u) = ((y * u) \ ((y * K(z,x)) * u)) \ 1. R(K(x,T(T(y,z),z * u)),z,u) = ((z * u) \ ((z * K(y,x)) * u)) \ 1. R(K(x,T(T(y,z),z * u)),z,u) != w | (z * u) \ ((z * K(x,y)) * u) = w. (x * y) \ ((x * K(z,u)) * y) = ((x * y) \ ((x * K(u,z)) * y)) \ 1. ((x * y) \ ((x * K(z,u)) * y)) \ 1 = (x * y) \ ((x * K(u,z)) * y). K(((x / y) * z) \ (x * z),u) \ 1 = (x * z) \ ((x * K(u,y)) * z). K(x,((y / z) * u) \ (y * u)) = (y * u) \ ((y * K(x,z)) * u). K(x,((x * y) * z) / ((u * y) * z)) = K(x,R(u / x,x * y,z) \ 1). K(x,R(y / x,x * z,u) \ 1) = K(x,((x * z) * u) / ((y * z) * u)). K(x,R(y / z,u,w) \ 1) != v5 | R(K(x,z / y),u,w) = v5. R(K(x,x / y),x * z,u) = K(x,((x * z) * u) / ((y * z) * u)). R(K(x,y \ x),x * z,u) = K(x,((x * z) * u) / ((y * z) * u)). R(K(x,y),x * z,u) != w | K(R(x,z,u),y) = w. K(R(x,y,z),u \ x) = K(x,((x * y) * z) / ((u * y) * z)). K(x,((x * y) * z) / ((u * y) * z)) = K(R(x,y,z),u \ x). K(x,(y * z) / ((u * (x \ y)) * z)) = K(R(x,x \ y,z),u \ x). K(R(x,x \ y,z),u \ x) = K(x,(y * z) / ((u * (x \ y)) * z)). K(x,((y * z) * R(x,y,z)) / ((u * (K(y * z,x) * y)) * z)) = K(R(x,K(y * z,x) * y,z),u \ x). K(R(x,x \ y,z),u) != w | R(K(x,u),y,z) = w. R(K(x,y \ x),z,u) = K(x,(z * u) / ((y * (x \ z)) * u)). K(x,(y * z) / ((u * (x \ y)) * z)) = R(K(x,u \ x),y,z). (x \ (x \ y)) * K(z,L(1 / x,x \ 1,y)) = y * ((x \ 1) * T(1 / x,z)). R(K(x,(y / z) / u),y / z,z) != w | K(x,y / (u * z)) = w. K(x,y / ((z * x) * u)) = ((z * (x * ((z \ (y / u)) / x))) * u) / y. ((x * (y * ((x \ (z / u)) / y))) * u) / z = K(y,z / ((x * y) * u)). (x * (y \ z)) * (u * (((x * (y \ z)) \ z) / u)) = (x * (u * ((x \ y) / u))) * (y \ z). x != (y * z) / z | y = x. K(x,y) = R(K(x,y),x \ y,L(z,x \ y,K(x,y))). R(K(x,y),x \ y,L(z,x \ y,K(x,y))) = K(x,y). R(K(x,y),x \ y,z) = K(x,y). R(K(x,R(y,x \ 1,x)),T(y * (1 / x),x),z) = K(x,R(y,x \ 1,x)). R(K(x,y),T(y * (1 / x),x),z) = K(x,R(y,x \ 1,x)). R(K(x,y),T(z,x),u) != w | R(K(x,y),z,u) = w. R(K(x,y),y * (1 / x),z) = K(x,R(y,x \ 1,x)). R(x,y * (1 / z),u) != w | R(x,y * (z \ 1),u) = w. R(K(x,y),y * (x \ 1),z) = K(x,R(y,x \ 1,x)). K(x,R(y,x \ 1,z)) = K(x,R(y,x \ 1,x)). x != K(y,R(z,u,y)) | K(y,z) = x. K(x,y) = K(x,R(y,x \ 1,z)). K(x,R(y,x \ 1,z)) = K(x,y). x * y != K(z,R(u,z \ 1,w)) | x \ K(z,u) = y. x \ K(x \ 1,y) = T(x \ 1,R(y,(x \ 1) \ 1,z)). T(x \ 1,R(y,(x \ 1) \ 1,z)) = x \ K(x \ 1,y). x != y \ K(y \ 1,z) | T(y \ 1,z) = x. T(x \ 1,y) = T(x \ 1,R(y,(x \ 1) \ 1,z)). T(x \ 1,R(y,(x \ 1) \ 1,z)) = T(x \ 1,y). T(x \ 1,R(y,x,z)) = T(x \ 1,y). T(x \ 1,y) * R(T(x \ 1,R(y,x,z)) \ 1,u,w) = T((x \ 1) * R((x \ 1) \ 1,u,w),R(y,x,z)). ((x \ y) \ y) \ T(1 / ((x \ y) \ y),z) = T(1 / x,y) * T(T(1 / x,y),z). x != T(y,z) * T(T(y,z),u) | y * T(y,T(u,z)) = x. (1 / x) * T(1 / x,T(y,z)) = ((x \ z) \ z) \ T(1 / ((x \ z) \ z),y). ((x \ y) \ y) \ T(1 / ((x \ y) \ y),z) = (1 / x) * T(1 / x,T(z,y)). x != (1 / y) * T(1 / y,z) | y \ T(1 / y,z) = x. x \ T(1 / x,T(y,z)) = ((x \ z) \ z) \ T(1 / ((x \ z) \ z),y). ((x \ y) \ y) \ T(1 / ((x \ y) \ y),z) = x \ T(1 / x,T(z,y)). (x \ y) \ T(1 / (x \ y),z) != u | (y \ x) * T(y \ x,z) = u. (x \ (y \ x)) * T(x \ (y \ x),z) = y \ T(1 / y,T(z,x)). (1 / T(x * y,x)) * (1 / T(x * y,x)) = (x \ T(1 / y,x)) * (x \ T(1 / y,x)). ((x \ 1) * (x \ 1)) * ((1 / (1 / x)) \ (y * y)) = ((1 / x) * ((y * y) / x)) * (1 / x). T(x * T(y,y \ 1),y) / (x / y) = T(y,y \ 1) * T(T(y,y \ 1),x / y). ((x \ 1) \ y) / (y / x) = T(x,x \ 1) * T(T(x,x \ 1),y / x). ((x \ 1) \ y) / (y / x) = T(x,x \ 1) * T(T(x,x \ 1),x \ y). ((x \ 1) \ y) / (y / x) = T(x,x \ 1) * ((x \ 1) \ K(x,x \ y)). ((x \ 1) \ y) / (y / x) = T(x,x \ 1) * T(x,x * y). ((x \ 1) \ y) / (y / x) = T(x,x \ 1) * T(x,y * x). x != T(y,z \ 1) * T(z,u) | T(y * T(z,u),z) = x. T(x * T(x,y * x),x) = ((x \ 1) \ y) / (y / x). T(x * T(x,y),x) != z | (K(x,y) / x) \ x = z. (K(x,y * x) / x) \ x = ((x \ 1) \ y) / (y / x). T(1 / x,y) \ x = ((x \ 1) \ y) / (y / x). ((x \ 1) \ y) / (y / x) = T(1 / x,y) \ x. (((T(x,y) \ 1) \ 1) * ((1 / x) \ y)) \ 1 = ((T(x,y) \ 1) \ 1) \ (x \ (y \ 1)). ((x * T(y,x)) \ 1) * (T(y,x) \ 1) = ((T(y,x) \ 1) \ 1) \ (y \ (x \ 1)). ((T(x,y) \ 1) \ 1) \ (x \ (y \ 1)) = ((y * T(x,y)) \ 1) * (T(x,y) \ 1). ((T(x,y) \ 1) \ 1) \ (x \ (y \ 1)) = ((x * y) \ 1) * (T(x,y) \ 1). (((x * y) * (x * y)) / 1) \ 1 = ((x \ (y \ 1)) \ 1) \ ((1 / x) / y). ((x \ (y \ 1)) \ 1) \ ((1 / x) / y) = (((x * y) * (x * y)) / 1) \ 1. x != ((y * y) / z) \ 1 | y \ (y \ z) = x. (x * y) \ ((x * y) \ 1) = ((x \ (y \ 1)) \ 1) \ ((1 / x) / y). ((x \ (y \ 1)) \ 1) \ ((1 / x) / y) = (x * y) \ ((x * y) \ 1). ((x \ (y \ 1)) \ 1) \ ((1 / x) / y) != z | x \ (y \ ((y * x) \ 1)) = z. ((x \ 1) \ (y \ 1)) \ (z * (1 / (y \ x))) = (((x / y) \ 1) * z) * T((x / y) \ 1,x). (x / y) \ (z * ((y \ x) \ 1)) = ((1 / (x / y)) * z) * T(1 / (x / y),x). ((1 / (x / y)) * z) * T(1 / (x / y),x) = (x / y) \ (z * ((y \ x) \ 1)). ((1 / (x / y)) * z) * ((y \ x) \ 1) = (x / y) \ (z * ((y \ x) \ 1)). x != (y / z) \ (u * ((z \ y) \ 1)) | ((z / y) * u) * (y \ z) = x. ((x / y) * z) * (y \ x) = ((1 / (y / x)) * z) * ((x \ y) \ 1). ((1 / (x / y)) * z) * ((y \ x) \ 1) = ((y / x) * z) * (x \ y). (T(x,y) * K(y,z)) * (T(y,z) * (T(x,y) * K(y,z))) = (T(y,z) \ (y * x)) * (y * x). (x / y) \ (y * x) = ((y \ x) \ x) * T((y \ x) \ x,x / y). ((x \ y) \ y) * T((x \ y) \ y,y / x) = (y / x) \ (x * y). ((x \ y) \ y) * ((T(x,y / x) \ y) \ y) = (y / x) \ (x * y). ((x \ y) \ y) * ((y / x) \ y) = (y / x) \ (x * y). ((x \ y) \ y) * x = (y / x) \ (x * y). (x / y) \ (y * x) = ((y \ x) \ x) * y. x != ((y \ z) \ z) * y | y * ((y \ z) \ z) = x. x * ((x \ y) \ y) = (y / x) \ (x * y). (x / y) \ (y * x) = y * ((y \ x) \ x). (x \ (1 / x)) / T(y,T(x,y) \ 1) = T(x \ (y \ 1),y) * (T(x,y) \ 1). (x \ (1 / x)) / T(y,x \ 1) = T(x \ (y \ 1),y) * (T(x,y) \ 1). (x \ (1 / x)) / T(y,x \ 1) != z | x \ (1 / (x * y)) = z. x \ (1 / (x * y)) = T(x \ (y \ 1),y) * (T(x,y) \ 1). T(x \ (y \ 1),y) * (T(x,y) \ 1) = x \ (1 / (x * y)). (L(x,y,y) \ 1) \ T(z * (u * (1 / x)),x) = a(x \ 1,y,y) * (x \ ((x * z) * u)). (x \ (y \ 1)) * (y * (T(x,y) \ 1)) = y * (T(x \ (y \ 1),y) * (T(x,y) \ 1)). x * (T(y \ (x \ 1),x) * (T(y,x) \ 1)) = (y \ (x \ 1)) * (x * (T(y,x) \ 1)). x * (T(y \ (x \ 1),x) * (T(y,x) \ 1)) = (y \ (x \ 1)) * (y \ x). x * (y \ (1 / (y * x))) = (y \ (x \ 1)) * (y \ x). (x \ (y \ 1)) * (x \ y) = y * (x \ (1 / (x * y))). (x \ (y \ 1)) * (x \ y) != z | (x \ y) * ((y * (y * x)) \ y) = z. (x \ y) * ((y * (y * x)) \ y) = y * (x \ (1 / (x * y))). (x \ y) * ((y * y) \ (x \ y)) = y * (x \ (1 / (x * y))). (x \ (x * (x / y))) * (z * (x \ (x * (x / y)))) = (y / x) \ (z / (y / x)). (x / y) * (z * (x \ (x * (x / y)))) = (y / x) \ (z / (y / x)). (x / y) * (z * (x / y)) = (y / x) \ (z / (y / x)). (x / y) \ (z / (x / y)) = (y / x) * (z * (y / x)). x * (y * ((z / x) \ 1)) = (x / z) * ((z * y) * (x / z)). (x / y) * ((y * z) * (x / y)) = x * (z * ((y / x) \ 1)). (x / y) * L(z * (x * (1 / y)),y,y) = x * (((1 / y) * z) * ((y / x) \ 1)). (x * (y * R(z,u,L(z,y,x)))) / (x * (y * z)) = a(L(z,y,x),u,L(z,y,x)). (x * (y * (L(y,z,u) * (1 / y)))) * (1 / y) = (y \ 1) \ (y \ ((x * L(y,z,u)) / y)). ((x \ (x / y)) / x) * (x \ (x / y)) = x * (((x \ 1) / y) * ((x \ 1) / y)). ((x \ y) / x) * (x \ y) != z | ((x * x) \ y) * (y / x) = z. ((x * x) \ (x / y)) * ((x / y) / x) = x * (((x \ 1) / y) * ((x \ 1) / y)). ((1 / x) / y) * ((x / y) / x) = x * (((x \ 1) / y) * ((x \ 1) / y)). x * (((x \ 1) / y) * ((x \ 1) / y)) = ((1 / x) / y) * ((x / y) / x). x * ((y \ (x \ 1)) * (y \ (x \ 1))) = ((1 / x) / y) * ((x / y) / x). x * (x \ (y \ (1 / (y * x)))) = ((1 / x) / y) * ((x / y) / x). ((1 / x) / y) * ((x / y) / x) = x * (x \ (y \ (1 / (y * x)))). x \ (1 / (x * y)) = ((1 / y) / x) * ((y / x) / y). ((1 / x) / y) * ((x / y) / x) = y \ (1 / (y * x)). ((x \ 1) \ 1) \ ((x \ T(y,x \ 1)) / x) = (1 / x) * ((1 / x) * ((1 / x) * y)). ((x \ 1) \ 1) \ (((x \ 1) * T(y,x)) / x) = (1 / x) * ((1 / x) * ((1 / x) * y)). ((x \ 1) \ 1) \ (x \ (T(y,x) / x)) = (1 / x) * ((1 / x) * ((1 / x) * y)). ((x \ 1) \ 1) \ (x \ (y / x)) != z | (x \ (x \ y)) / x = z. (x \ (x \ T(y,x))) / x = (1 / x) * ((1 / x) * ((1 / x) * y)). x != (1 / y) * ((1 / y) * ((1 / y) * z)) | y \ ((y * y) \ z) = x. x \ ((x * x) \ y) = (x \ (x \ T(y,x))) / x. (x \ (x \ T(y,x))) / x = x \ ((x * x) \ y). (T(x,y) \ z) \ K(x,y) = (z \ T(x,y)) * ((x / z) * (z / T(x,y))). (x \ T(y,z)) * ((y / x) * (x / T(y,z))) = (T(y,z) \ x) \ K(y,z). x != (T(y,z) \ u) \ K(y,z) | (y \ u) \ 1 = x. (x \ y) \ 1 = (y \ T(x,z)) * ((x / y) * (y / T(x,z))). (x \ T(y,z)) * ((y / x) * (x / T(y,z))) = (y \ x) \ 1. (x \ T(y,z)) * ((y \ x) * (x \ T(y,z))) = (y \ x) \ 1. (x \ T(y,z)) \ ((y \ x) \ 1) = (y \ x) * (x \ T(y,z)). 1 / ((x \ y) \ ((x \ y) * (y \ T(x,z)))) = ((x / y) * (y / T(x,z))) * (x \ y). 1 / (x \ T(y,z)) = ((y / x) * (x / T(y,z))) * (y \ x). ((x / y) * (y / T(x,z))) * (x \ y) = 1 / (y \ T(x,z)). ((x \ y) * (y \ T(x,z))) * (x \ y) = 1 / (y \ T(x,z)). (x * y) * (z * (((x * ((u / y) \ u)) \ u) / z)) = (x * (z * ((x \ (u / y)) / z))) * ((u / y) \ u). (x * (y * ((x \ (z / u)) / y))) * ((z / u) \ z) = (x * u) * (y * (((x * ((z / u) \ z)) \ z) / y)). (x / y) * (x / y) != z | (y \ x) * (y \ x) = z. (T(x * y,x) \ 1) * (T(x * y,x) \ 1) = (x \ T(1 / y,x)) * (x \ T(1 / y,x)). (x \ (1 / x)) * ((1 / (1 / x)) \ (y * y)) = ((1 / x) * ((y * y) / x)) * (1 / x). (x \ (1 / x)) * (y * (y * (1 / x))) = ((1 / x) * ((y * y) / x)) * (1 / x). ((1 / x) * ((y * y) / x)) * (1 / x) = (x \ (1 / x)) * (y * (y * (1 / x))). (x \ 1) * (x \ (y * (y * (1 / x)))) = ((1 / x) * ((y * y) / x)) * (1 / x). ((1 / x) * ((y * y) / x)) * (1 / x) = (x \ 1) * (x \ (y * (y * (1 / x)))). (x \ ((y * y) / x)) * (1 / x) = (x \ 1) * (x \ (y * (y * (1 / x)))). (x \ 1) * (x \ (y * (y * (1 / x)))) = (x \ ((y * y) / x)) * (1 / x). (x * x) \ (x \ (y * y)) = (x \ 1) * (x \ (y * (y * (1 / x)))). (x \ 1) * (x \ (y * (y * (1 / x)))) = (x * x) \ (x \ (y * y)). ((x \ 1) \ (y \ 1)) \ (z * (1 / (y \ x))) = (((x / y) \ 1) * z) * (1 / (y \ x)). (T(x,y) * K(y,z)) * (y * T(T(x,y),K(y,z))) = (T(y,z) \ (y * x)) * (y * x). (T(x,y) * K(y,z)) * (y * T(x,T(y,z))) = (T(y,z) \ (y * x)) * (y * x). (L(x,y,y) \ 1) \ T(z,x) != u | z / (1 / L(x,y,y)) = u. (x * (y * (1 / z))) / (1 / L(z,u,u)) = a(z \ 1,u,u) * (z \ ((z * x) * y)). (x * (y * (1 / z))) / (1 / L(z,u,u)) = a(z,u,u) * (z \ ((z * x) * y)). x != a(y,z,z) * (y \ u) | L(y,z,z) \ u = x. L(x,y,y) \ ((x * z) * u) = (z * (u * (1 / x))) / (1 / L(x,y,y)). (x * (y * (1 / z))) / (1 / L(z,u,u)) = L(z,u,u) \ ((z * x) * y). (x * L(L(y,z,u),y,y)) * (1 / y) = (y \ 1) \ (y \ ((x * L(y,z,u)) / y)). (x \ 1) \ (x \ ((y * L(x,z,u)) / x)) = (y * L(L(x,z,u),x,x)) * (1 / x). x != (y * L(z,u,u)) * (1 / u) | (L(y,u,u) * z) / u = x. (L(x,y,y) * L(y,z,u)) / y = (y \ 1) \ (y \ ((x * L(y,z,u)) / y)). (x \ 1) \ (x \ ((y * L(x,z,u)) / x)) = (L(y,x,x) * L(x,z,u)) / x. (x \ 1) \ ((x \ y) * (x \ L(x,z,u))) = (L(y,x,x) * L(x,z,u)) / x. (x \ 1) \ ((x \ y) * (x \ z)) != u | (y * T(z,x)) * (x \ 1) = u. (x * T(L(y,z,u),y)) * (y \ 1) = (L(x,y,y) * L(y,z,u)) / y. (L(x,y,y) * L(y,z,u)) / y = (x * T(L(y,z,u),y)) * (y \ 1). (L(x,y,y) * L(y,z,u)) / y = (x * L(y,z,u)) * (y \ 1). (T(x,y) \ 1) * (T(x,y) \ 1) != z | x \ (1 / x) = z. (x * y) \ (1 / (x * y)) = (x \ T(1 / y,x)) * (x \ T(1 / y,x)). (x \ T(1 / y,x)) * (x \ T(1 / y,x)) = (x * y) \ (1 / (x * y)). (x \ T(y,x)) * (x \ T(y,x)) != z | (x \ y) * (x \ y) = z. (x \ (1 / y)) * (x \ (1 / y)) = (x * y) \ (1 / (x * y)). (x \ (y \ 1)) * (x \ (y \ 1)) = (x * y) \ (1 / (x * y)). (x \ (1 / y)) * (x \ (1 / y)) != z | y \ (x \ (1 / (x * y))) = z. x \ (y \ (1 / (y * x))) = (y * x) \ (1 / (y * x)). (x * y) \ (1 / (x * y)) = y \ (x \ (1 / (x * y))). (x \ (y \ (1 / (y * x)))) * (x * x) = ((y * x) \ 1) * ((y / x) \ 1). x * (x * (x \ (y \ (1 / (y * x))))) = ((y * x) \ 1) * ((y / x) \ 1). x * (y \ (1 / (y * x))) = ((y * x) \ 1) * ((y / x) \ 1). ((x * y) \ 1) * ((x / y) \ 1) = y * (x \ (1 / (x * y))). ((T(x,y) * (1 / y)) \ 1) * (((y \ 1) \ x) \ 1) = (1 / y) * (T(x,y) \ (1 / (T(x,y) * (1 / y)))). ((x \ (1 / (x * y))) * y) / (1 / y) = y * (((x * y) \ 1) * ((x / y) \ 1)). (x \ T(1 / x,y)) / (1 / y) = y * (((x * y) \ 1) * ((x / y) \ 1)). x * (((y * x) \ 1) * ((y / x) \ 1)) = (y \ T(1 / y,x)) / (1 / x). K(x,y) = R(K(x,y),z,L(R(x,u,w),z,K(x,y))). R(K(x,y),z,L(R(x,u,w),z,K(x,y))) = K(x,y). R(K(x,y),z,R(x,u,w)) = K(x,y). R(K(x,y / (z / u)),y,u) != w | K(x,(y * u) / z) = w. K(x,(y * R(x,z,u)) / w) = K(x,y / (w / R(x,z,u))). K(R(x,y,R(x,z,u)),w) = K(x,w). K(x,T(y,z)) = K(x,T(y,z * R(x,u,w))). K(x,T(y,z * R(x,u,w))) = K(x,T(y,z)). K(x,T(y,z)) = K(x,T(y,z / R(x,u,w))). K(x,T(y,z / R(x,u,w))) = K(x,T(y,z)). K(x,T(y,z / R(x,u,w))) != v5 | K(x,T(y,R(x,u,w) \ z)) = v5. K(x,T(y,R(x,z,u) \ w)) = K(x,T(y,w)). K(x,T(y,z)) = K(x,T(y,R(x,u,w) * z)). K(x,T(y,R(x,z,u) * w)) = K(x,T(y,w)). K(x,T(y \ z,z)) != u | K(x,z / y) = u. K(x,(R(x,y,z) * u) / w) = K(x,T(w \ (R(x,y,z) * u),u)). K(x,T(y \ (R(x,z,u) * w),w)) = K(x,(R(x,z,u) * w) / y). x != K(y,z / (u / R(y,w,v5))) | K(y,z / (R(y,w,v5) \ u)) = x. K(x,y / (R(x,z,u) \ w)) = K(x,(y * R(x,z,u)) / w). K(x,(y * R(x,z,u)) / w) = K(x,y / (R(x,z,u) \ w)). L(x,K(y,z),x) * (u * (x * K(w,v5))) = (x * K(w,v5)) * T(u * x,K(w,v5)). x * (y * (x * K(z,u))) = (x * K(z,u)) * T(y * x,K(z,u)). (x * K(y,z)) * T(u * x,K(y,z)) = x * (u * (x * K(y,z))). (x * ((y / z) * (y / z))) * K(u,L(x,z \ y,z \ y)) = (y / z) * ((y / z) * T(x,u)). (L(x,y / (z * (z * x)),y / (z * (z * x))) \ 1) \ (z * z) = z * (z * L(x,y,y)). (L(x,(y * (y * x)) \ z,(y * (y * x)) \ z) \ 1) \ (y * y) = y * (y * L(x,z,z)). (x * ((y \ z) * (y \ z))) * K(u,L(x,y \ z,y \ z)) = (z / y) * ((z / y) * T(x,u)). (x * ((y \ z) * (y \ z))) * K(u,x) = (z / y) * ((z / y) * T(x,u)). (x * ((y \ z) * (y \ z))) * K(x,u) = (z / y) * ((z / y) * T(x,u)). (L(x,y,z) \ x) \ (u * (L(x,y,z) \ x)) = (x \ L(x,y,z)) * (u / (x \ L(x,y,z))). T(x,L(y,z,u) \ y) = (y \ L(y,z,u)) * (x / (y \ L(y,z,u))). (x \ L(x,y,z)) * (u / (x \ L(x,y,z))) = T(u,L(x,y,z) \ x). ((x \ L(x,y,z)) \ u) / T(u,L(x,y,z) \ x) = 1 / T(x \ L(x,y,z),u). (x * (y \ L(y,z,u))) \ T(x,L(y,z,u) \ y) = 1 / T(y \ L(y,z,u),x). (x * (y \ z)) \ T(x,z \ y) != u | T(y \ z,x) \ 1 = u. T(x \ L(x,y,z),u) \ 1 = 1 / T(x \ L(x,y,z),u). 1 / T(x \ L(x,y,z),u) = T(x \ L(x,y,z),u) \ 1. T(x,y \ (z \ 1)) * ((1 / y) * (1 / z)) = ((1 / y) * (1 / z)) * x. ((x \ 1) * y) * (((x \ 1) \ 1) \ (x \ z)) = ((x \ 1) * (y * (z * (1 / x)))) * (x \ 1). ((x \ 1) * (y * (z * (1 / x)))) * (x \ 1) = ((x \ 1) * y) * (((x \ 1) \ 1) \ (x \ z)). ((x \ 1) * (y * (z * (1 / x)))) * (x \ 1) = ((x \ 1) * y) * (z * (x \ (1 / x))). (x \ (y * (z * (1 / x)))) / x = ((x \ 1) * y) * (z * (x \ (1 / x))). ((x \ 1) * y) * (z * (x \ (1 / x))) = (x \ (y * (z * (1 / x)))) / x. x != (y \ (z * (u * (1 / y)))) / y | ((1 / y) * z) * (y \ (y \ u)) = x. ((1 / x) * y) * (x \ (x \ z)) = ((x \ 1) * y) * (z * (x \ (1 / x))). ((x \ 1) * y) * (z * (x \ (1 / x))) = ((1 / x) * y) * (x \ (x \ z)). (((x / y) \ 1) * z) * (K(y,y \ x) * (1 / (x / y))) = ((1 / (x / y)) * z) * ((x / y) \ ((x / y) \ (y \ x))). (x * x) * ((T((1 / x) * y,x * x) * z) * (x * x)) = L(x * y,x,x) * (z * (x * x)). (x * x) * ((T((1 / x) * y,x * x) * z) * (x * x)) = ((x \ 1) \ y) * (z * (x * x)). (x * x) * ((T((1 / x) * y,x * x) * z) * (x * x)) = ((x \ 1) \ y) * (x * (x * z)). (x * x) * ((L((1 / x) * y,x,x) * z) * (x * x)) = ((x \ 1) \ y) * (x * (x * z)). (x * x) * (((x \ y) * z) * (x * x)) = ((x \ 1) \ y) * (x * (x * z)). (x * x) * (x * (x * ((x \ y) * z))) = ((x \ 1) \ y) * (x * (x * z)). (x * x) * (x * (x * y)) != z | x * (x * ((y * x) * x)) = z. x * (x * ((((x \ y) * z) * x) * x)) = ((x \ 1) \ y) * (x * (x * z)). x * (y * ((z * u) * u)) != w | x * (y * ((u * u) * z)) = w. x * (x * ((x * x) * ((x \ y) * z))) = ((x \ 1) \ y) * (x * (x * z)). x * (x * ((x * x) * (x \ ((y * z) / x)))) = ((x \ 1) \ y) * (x * (x * (z * (x \ 1)))). ((x \ 1) \ y) * (x * (x * (z * (x \ 1)))) = x * (x * ((x * x) * (x \ ((y * z) / x)))). ((x \ 1) \ y) * (x * (x * (z * (x \ 1)))) = x * (x * ((x \ 1) \ ((y * z) / x))). x != y * (y * ((y \ 1) \ (z / y))) | ((y \ 1) \ z) * y = x. ((x \ 1) \ (y * z)) * x = ((x \ 1) \ y) * (x * (x * (z * (x \ 1)))). ((x \ 1) \ y) * (x * (x * (z * (x \ 1)))) = ((x \ 1) \ (y * z)) * x. ((x \ 1) \ y) * (z * x) = ((x \ 1) \ (y * z)) * x. ((x \ 1) \ (y * z)) * x = ((x \ 1) \ y) * (z * x). (T(1 / x,y) \ (z * u)) * (T(x \ 1,y) \ 1) = (((T(x \ 1,y) \ 1) \ 1) \ z) * (u * (T(x \ 1,y) \ 1)). (((T(x \ 1,y) \ 1) \ 1) \ z) * (u * (T(x \ 1,y) \ 1)) = (T(1 / x,y) \ (z * u)) * (T(x \ 1,y) \ 1). T((x * y) * ((1 / x) * y),x * x) = x * ((y * (((1 / x) * y) * x)) / x). T(x * ((y / x) * y),x * x) = x * ((y * (((1 / x) * y) * x)) / x). x * ((y * (((1 / x) * y) * x)) / x) = T(x * ((y / x) * y),x * x). L(x * ((y / x) * y),x,x) = x * ((y * (((1 / x) * y) * x)) / x). x * ((y * (((1 / x) * y) * x)) / x) = L(x * ((y / x) * y),x,x). (x \ 1) \ ((y / x) * y) = x * ((y * (((1 / x) * y) * x)) / x). x * ((y * (((1 / x) * y) * x)) / x) = (x \ 1) \ ((y / x) * y). x * ((y / x) * y) = (x \ 1) \ ((y / x) * y). (x \ 1) \ ((y / x) * y) = x * ((y / x) * y). x * (x * (x * ((y / x) * y))) = (x * x) * ((x \ y) * (x * y)). (x * x) * ((x \ y) * (x * y)) = x * (x * (x * ((y / x) * y))). x != y * (y * (y * ((z / y) * z))) | (1 / y) \ ((z * y) * z) = x. (1 / x) \ ((y * x) * y) = (x * x) * ((x \ y) * (x * y)). (x * x) * ((x \ y) * (x * y)) = (1 / x) \ ((y * x) * y). (x * x) * (x * ((y / x) * y)) = (1 / x) \ ((y * x) * y). (x * x) * (x * ((y / x) * y)) != z | (y * x) * T(y * x,x * x) = z. (x * y) * T(x * y,y * y) = (1 / y) \ ((x * y) * x). (x * y) * L(x * y,y,y) = (1 / y) \ ((x * y) * x). (x * y) * (x / (1 / y)) = (1 / y) \ ((x * y) * x). (1 / x) \ ((y * x) * y) = (y * x) * (y / (1 / x)). (1 / x) \ ((y * x) * y) != z | (x * x) * (x * ((y / x) * y)) = z. (x * x) * (x * ((y / x) * y)) = (y * x) * (y / (1 / x)). (x * x) * (x * ((y / x) * y)) != z | x * (y / (1 / (x * y))) = z. x * (y / (1 / (x * y))) = (y * x) * (y / (1 / x)). (x * y) * (x / (1 / y)) = y * (x / (1 / (y * x))). (x * x) * (x * (y / (1 / (x * y)))) = (y * x) * ((x * x) * (y * x)). (x * x) * (x * (y / (1 / (x * y)))) != z | (x * y) * ((x * x) * (x * y)) = z. (x * y) * ((x * x) * (x * y)) = (y * x) * ((x * x) * (y * x)). (x * y) * ((y * y) * (x * y)) = (y * x) * ((y * y) * (y * x)). (x * y) * ((y * y) * (x * y)) != z | y * ((x * (y * (x * y))) * y) = z. x * ((y * (x * (y * x))) * x) = (x * y) * ((x * x) * (x * y)). (x * y) * ((x * x) * (x * y)) = x * ((y * (x * (y * x))) * x). x * y != (z * u) * ((z * z) * (z * u)) | x \ (z * ((u * (z * (u * z))) * z)) = y. (x * x) \ (x * ((y * (x * (y * x))) * x)) = (x * y) * T(x * y,x * x). (x * (((y * y) * (y * x)) * (y \ 1))) * y = (y \ 1) * (y * ((x * (y * (x * y))) * y)). (1 / x) * ((y * (x * (y * x))) * x) = (x * y) * T(x * y,x * x). T(x * (y * (x * y)),y \ 1) = (y * x) * T(y * x,y * y). x != (y * z) * T(y * z,y * y) | y * (z / (1 / (y * z))) = x. x * (y / (1 / (x * y))) = T(y * (x * (y * x)),x \ 1). T(x * (y * (x * y)),y \ 1) = y * (x / (1 / (y * x))). (x * ((y * x) / (1 / y))) * y = (y \ 1) * (y * ((x * (y * (x * y))) * y)). (x \ 1) * (x * ((y * (x * (y * x))) * x)) = (y * ((x * y) / (1 / x))) * x. (x \ 1) * (x * ((y * (x * (y * x))) * x)) = (y * (x * (y * x))) * x. x * ((1 / x) * ((y * (x * (y * x))) * x)) = (y * (x * (y * x))) * x. x * T(y * (x * (y * x)),x \ 1) = (y * (x * (y * x))) * x. x * (x * (y / (1 / (x * y)))) = (y * (x * (y * x))) * x. (T(x \ 1,y) * K(y,z)) * (T(y,z) / (x * y)) = (T(y,z) * (y \ (T(y,z) / x))) / (x * y). x * K(x * T(y \ 1,z),T(1 \ y,z)) = T(y \ 1,z) * (x * (T(1 / y,z) \ 1)). T(x \ 1,y) * (z * (T(1 / x,y) \ 1)) = z * K(z * T(x \ 1,y),T(1 \ x,y)). T(x \ 1,y) * (z * (T(1 / x,y) \ 1)) = z * K(z * T(x \ 1,y),T(x,y)). T(x \ 1,y) * (z * (T(1 / x,y) \ 1)) = z * K(T(x,y),z * T(x \ 1,y)). (T(x \ 1,y) * K(y,z)) * (T(y,z) / (x * y)) = (K(y,z) * (T(y,z) / x)) / (x * y). (T(x \ 1,y) * K(y,z)) * (T(y,z) / (x * y)) = (y / x) / (x * y). ((x * y) \ T(y,z)) * (T(y,z) / (x * y)) = (y / x) / (x * y). L(T(x,y * (y / z)),(1 / (y / z)) \ y,(1 / (y / z)) \ y) = T(x,1 / ((y * y) / z)). L(T(x,y * (y / z)),y / (y \ z),(1 / (y / z)) \ y) = T(x,1 / ((y * y) / z)). L(T(x,y * (y / z)),y / (y \ z),y / (y \ z)) = T(x,1 / ((y * y) / z)). ((((1 / x) \ y) \ 1) * (((1 / x) \ y) \ 1)) / x = (x \ ((x * y) \ 1)) * (((1 / x) \ y) \ 1). ((((1 / x) \ y) \ 1) * (((1 / x) \ y) \ 1)) / x = (x \ ((x * y) \ 1)) * ((y \ 1) * (x \ 1)). x != (y \ z) * (u * (y \ 1)) | y \ ((z * u) / y) = x. x \ ((((x * y) \ 1) * (y \ 1)) / x) = ((((1 / x) \ y) \ 1) * (((1 / x) \ y) \ 1)) / x. ((((1 / x) \ y) \ 1) * (((1 / x) \ y) \ 1)) / x = x \ ((((x * y) \ 1) * (y \ 1)) / x). ((((1 / x) \ y) \ 1) * (((1 / x) \ y) \ 1)) / x = x \ ((y \ (x \ (1 / y))) / x). (((x \ 1) * (y \ 1)) * (((1 / y) \ x) \ 1)) / y = y \ ((x \ (y \ (1 / x))) / y). (((x \ 1) * (y \ 1)) * ((x \ 1) * (y \ 1))) / y = y \ ((x \ (y \ (1 / x))) / y). ((x \ (y \ 1)) * (x \ (y \ 1))) / x = x \ ((y \ (x \ (1 / y))) / x). ((x * y) \ (1 / (x * y))) / x = x \ ((y \ (x \ (1 / y))) / x). x * (x \ ((y \ (x \ (1 / y))) / x)) = (x \ 1) * (((x * y) \ 1) / y). (x \ (y \ (1 / x))) / y = (y \ 1) * (((y * x) \ 1) / x). (x \ 1) * (((x * y) \ 1) / y) = (y \ (x \ (1 / y))) / x. (x \ 1) * (((x * y) \ 1) / y) != z | (y \ (x \ (1 / y))) / x = z. (x * x) * T(y \ ((y * y) \ (1 / y)),z) = x * (x * T((y \ (1 / y)) * (y \ (1 / y)),z)). x * (x * T((y \ (1 / y)) * (y \ (1 / y)),z)) = (x * x) * T(y \ ((y * y) \ (1 / y)),z). x * (x * T((y \ (1 / y)) * (y \ (1 / y)),z)) = (x * x) * T(y \ (y \ (y \ (y \ 1))),z). x * (x * T((y \ (1 / y)) * (y \ (1 / y)),z)) = (x * x) * (y \ (y \ (y \ (y \ 1)))). x != y * (z \ (z \ (z \ (z \ 1)))) | z \ (z \ (z \ (z \ y))) = x. x \ (x \ (x \ (x \ (y * y)))) = y * (y * T((x \ (1 / x)) * (x \ (1 / x)),z)). x * (x * T((y \ (1 / y)) * (y \ (1 / y)),z)) = y \ (y \ (y \ (y \ (x * x)))). x * (x * T((y \ (1 / y)) * (y \ (1 / y)),z)) = y \ (y \ (x * (y \ (y \ x)))). x != (y / (z \ y)) * u | z * u = x. (x \ (y \ 1)) * ((1 / x) / y) = (((x \ (y \ 1)) \ 1) \ 1) * (1 / ((x \ (y \ 1)) \ 1)). (((x \ (y \ 1)) \ 1) \ 1) * (1 / ((x \ (y \ 1)) \ 1)) = (x \ (y \ 1)) * ((1 / x) / y). ((x \ (y \ 1)) \ 1) \ (((x \ (y \ 1)) \ 1) \ 1) = (x \ (y \ 1)) * ((1 / x) / y). ((x \ (y \ 1)) \ 1) \ ((1 / x) / y) = (x \ (y \ 1)) * ((1 / x) / y). x \ (y \ ((y * x) \ 1)) = (x \ (y \ 1)) * ((1 / x) / y). (x \ (y \ 1)) * ((1 / x) / y) = x \ (y \ ((y * x) \ 1)). (((1 / x) / y) \ 1) \ (x \ (y \ 1)) = x \ (y \ ((y * x) \ 1)). (x \ y) \ ((x \ y) \ (((x / (x \ y)) \ y) * z)) = ((x / (x \ y)) \ y) \ (z * (y / (x / (x \ y)))). ((x / (x \ y)) \ y) \ (z * (y / (x / (x \ y)))) = (x \ y) \ ((x \ y) \ (((x / (x \ y)) \ y) * z)). ((x * x) * (1 / ((x * (x * y)) * z))) \ 1 = x * (x * (y * L(z * (1 / (x * x)),x,x))). x * (x * (y * L(z * (1 / (x * x)),x,x))) = ((x * x) * (1 / ((x * (x * y)) * z))) \ 1. x * (x * (y * L(z * (1 / (x * x)),x,x))) = ((x * x) / ((x * (x * y)) * z)) \ 1. x \ (x \ ((x * (x * y)) * z)) = x * (x * (y * L(z * (1 / (x * x)),x,x))). x * (x * (y * L(z * (1 / (x * x)),x,x))) = x \ (x \ ((x * (x * y)) * z)). x * (x * (y * L(z * (x \ (x \ 1)),x,x))) = x \ (x \ ((x * (x * y)) * z)). x * (x * (y * L(x \ (x \ z),x,x))) = x \ (x \ ((x * (x * y)) * z)). x * (x * (y * ((x * x) \ z))) = x \ (x \ ((x * (x * y)) * z)). x \ (x \ ((x * (x * y)) * z)) = x * (x * (y * ((x * x) \ z))). (1 * (((((x \ 1) \ 1) \ y) * z) / x)) / (1 / x) = (x \ 1) * ((y * (z / (x \ 1))) / x). (1 * (((((x \ 1) \ 1) \ y) * z) / x)) / (1 / x) = (x \ 1) * (x * ((x \ y) * z)). x != (y \ 1) * (y * z) | y * ((1 / y) * z) = x. x * ((1 / x) * ((x \ y) * z)) = (1 * (((((x \ 1) \ 1) \ y) * z) / x)) / (1 / x). (1 * (((((x \ 1) \ 1) \ y) * z) / x)) / (1 / x) = x * ((1 / x) * ((x \ y) * z)). (1 * (((((x \ 1) \ 1) \ y) * z) / x)) / (1 / x) != u | ((x \ 1) * y) * L(z,x,x) = u. ((x \ 1) * y) * L(z,x,x) = x * ((1 / x) * ((x \ y) * z)). x * ((1 / x) * ((x \ y) * z)) = ((x \ 1) * y) * L(z,x,x). (x * ((1 / x) * (x \ y))) \ (((x \ 1) * y) * L(z,x,x)) = L(L(z,x \ y,1 / x),(1 / x) * (x \ y),x). (1 / x) * ((T(y,x \ 1) / (1 / x)) * T(y,x \ 1)) = (y * x) * (y * (1 / x)). (1 / x) * ((((x \ 1) \ 1) * y) * T(y,x \ 1)) = (y * x) * (y * (1 / x)). (1 / x) * ((y / (1 / x)) * y) = (y * x) * (y * (1 / x)). x * ((y * (1 / x)) * y) = (y * x) * (y * (1 / x)). (x * y) * (x * (1 / y)) = y * ((x * (1 / y)) * x). x * ((y * x) * (y * (1 / x))) = (x * y) * (x * (y / x)). x * ((y * x) * (y * (1 / x))) = (1 / x) * ((y * x) * (y * x)). (1 / x) * ((y * x) * (y * x)) = x * ((y * x) * (y * (1 / x))). (x / (1 / y)) * x = y * ((x * y) * (x * (1 / y))). x * ((y * x) * (y * (1 / x))) = (y / (1 / x)) * y. x * ((y * x) * (y * (1 / x))) != z | (x * y) * (x * (y / x)) = z. (x * y) * (x * (y / x)) = (y / (1 / x)) * y. (x \ y) * (y * ((T(x,y) \ 1) / y)) = ((T(x,y) \ 1) / (1 / y)) * (T(x,y) \ 1). (x \ y) * ((x \ y) * (1 / y)) = ((T(x,y) \ 1) / (1 / y)) * (T(x,y) \ 1). ((T(x,y) \ 1) / (1 / y)) * (T(x,y) \ 1) = (x \ y) * ((x \ y) * (1 / y)). (((x \ 1) * T(y,x)) \ 1) * (T(y,x) \ 1) = (y \ x) * ((y \ x) * (1 / x)). T(x,y) \ ((y \ 1) \ (1 / T(x,y))) = (x \ y) * ((x \ y) * (1 / y)). (x \ y) * ((x \ y) * (1 / y)) != z | (y \ T(x,y)) \ (1 / T(x,y)) = z. (x * (y * ((x \ (z / u)) / y))) * ((z / u) \ z) = (x * u) * (y * (((x * u) \ z) / y)). (x * (y * ((x \ (z / u)) / y))) * u = (x * u) * (y * (((x * u) \ z) / y)). ((x * y) * (z * (((x * y) \ u) / z))) / u = K(z,u / ((x * z) * y)). (x * (y * ((x \ z) / y))) / z != u | K(y,z / (x * y)) = u. K(x,y / ((z * u) * x)) = K(x,y / ((z * x) * u)). x != K(y,z / (((y \ u) * y) * w)) | K(y,z / (u * w)) = x. K(x,y / (z * u)) = K(x,y / (((x \ z) * u) * x)). K(x,y / (((x \ z) * u) * x)) = K(x,y / (z * u)). K(x,y / (z * x)) != u | K(x,y / (x * z)) = u. K(x,y / (x * (z * u))) = K(x,y / ((z * x) * u)). K(x,y / ((z * x) * u)) = K(x,y / (x * (z * u))). K(x,y / ((z * x) * u)) != w | K(x,y / ((x * z) * u)) = w. K(x,y / ((x * z) * u)) = K(x,y / (x * (z * u))). x \ y != K(z,u / ((z * w) * v5)) | x * K(z,u / (z * (w * v5))) = y. x * K(x,y / (x * (z * u))) = T(x,y / ((x * z) * u)). T(x,y / (x * (z * u))) = T(x,y / ((x * z) * u)). T(x,y / ((x * z) * u)) = T(x,y / (x * (z * u))). ((x \ 1) * y) * (((y \ 1) \ x) \ 1) = (1 / y) * (T(x,y) \ (1 / (T(x,y) * (1 / y)))). (1 / x) * (T(y,x) \ (1 / (T(y,x) * (1 / x)))) = ((y \ 1) * x) * (((x \ 1) \ y) \ 1). (1 / x) * (T(y,x) \ (1 / (T(y,x) * (1 / x)))) = ((y \ 1) * x) * ((y \ 1) * (1 / x)). x != (y * z) * (y * (1 / z)) | z * ((y * (1 / z)) * y) = x. x * (((y \ 1) * (1 / x)) * (y \ 1)) = (1 / x) * (T(y,x) \ (1 / (T(y,x) * (1 / x)))). (1 / x) * (T(y,x) \ (1 / (T(y,x) * (1 / x)))) = x * (((y \ 1) * (1 / x)) * (y \ 1)). (1 / x) * (T(y,x) \ (1 / (T(y,x) * (1 / x)))) = x * ((y \ (1 / x)) / y). (1 / x) * (T(y,x) \ ((x \ 1) \ (1 / T(y,x)))) = x * ((y \ (1 / x)) / y). (1 / x) * ((x \ T(y,x)) \ (1 / T(y,x))) = x * ((y \ (1 / x)) / y). T(L(L(x * K(y,x),y,x),z,u) * y,x * K(y,x)) = L(x * K(y,x),z,u) * T(y,x). T(x * L(L(y,z,u),x,y),y * K(x,y)) = L(y * K(x,y),z,u) * T(x,y). x != L(y * K(z,y),u,w) * T(z,y) | T(z,y) * L(y,u,w) = x. T(x,y) * L(y,z,u) = T(x * L(L(y,z,u),x,y),y * K(x,y)). T(x * L(L(y,z,u),x,y),y * K(x,y)) = T(x,y) * L(y,z,u). T(x * L(L(y,x,y),z,u),y * K(x,y)) = T(x,y) * L(y,z,u). T(x,y * K(z,y)) != u | T(x,T(y,z)) = u. T(x * L(L(y,x,y),z,u),T(y,x)) = T(x,y) * L(y,z,u). T(x * L(L(y,z,u),w,v5),T(y,x)) != v6 | T(x * L(L(y,z,u),w,v5),y) = v6. T(x * L(L(y,x,y),z,u),y) = T(x,y) * L(y,z,u). K(x,L(L(x,y,x),z,u) / (y \ 1)) * (y \ (T(y,x) * L(x,z,u))) = L(L(x,y,x),z,u). K(x,L(L(x,y,x),z,u) / (y \ 1)) * (K(y,x) * L(x,z,u)) = L(L(x,y,x),z,u). K(x,(y \ 1) \ L(L(x,y,x),z,u)) * (K(y,x) * L(x,z,u)) = L(L(x,y,x),z,u). ((x * (T(y \ 1,z) \ 1)) \ 1) / (T(y \ 1,z) \ 1) = T(1 / y,z) * (x \ T(1 / y,z)). ((1 / T(x \ 1,y)) * (z * (T(x \ 1,y) \ 1))) \ 1 = T(1 / x,y) * (z \ T(1 / x,y)). ((T(1 / x,y) \ 1) * (z * (T(x \ 1,y) \ 1))) \ 1 = T(1 / x,y) * (z \ T(1 / x,y)). K(x,y / ((z * (K(u,x) * w)) * v5)) != v6 | K(x,y / ((z * w) * v5)) = v6. K(x,((y * z) * R(x,y,z)) / ((u * y) * z)) = K(R(x,K(y * z,x) * y,z),u \ x). K(R(x,K(y * z,x) * y,z),u \ x) = K(x,((y * z) * R(x,y,z)) / ((u * y) * z)). T(x \ 1,y) * R(T(x \ 1,y) \ 1,z,u) = T((x \ 1) * R((x \ 1) \ 1,z,u),R(y,x,w)). T((x \ 1) * R((x \ 1) \ 1,y,z),R(u,x,w)) = T(x \ 1,u) * R(T(x \ 1,u) \ 1,y,z). x != T(y,z) * R(T(y,z) \ 1,u,w) | T(y * R(y \ 1,u,w),z) = x. T((x \ 1) * R((x \ 1) \ 1,y,z),u) = T((x \ 1) * R((x \ 1) \ 1,y,z),R(u,x,w)). T((x \ 1) * R((x \ 1) \ 1,y,z),R(u,x,w)) = T((x \ 1) * R((x \ 1) \ 1,y,z),u). T((x \ 1) * R((x \ 1) \ 1,y,z),R(u,x,w)) = T(x \ R(x,y,z),u). T(x \ R(x,y,z),R(u,x,w)) = T(x \ R(x,y,z),u). K(R(x,y,z),y \ R(y,u,w)) = (y \ R(y,u,w)) / T(y \ R(y,u,w),x). K(R(x,y,z),y \ R(y,u,w)) != v5 | K(x,y \ R(y,u,w)) = v5. K(R(x \ (x * y),z,u),R(y / w,w,K(x,y)) \ (x \ (x * y))) = K(R(y,z,u),w * K(x,y)). x != K(R(y,z,u),w * K(v5,y)) | K(R(y,z,u),w) = x. K(R(x,y,z),u) = K(R(w \ (w * x),y,z),R(x / u,u,K(w,x)) \ (w \ (w * x))). K(R(x \ (x * y),z,u),R(y / w,w,K(x,y)) \ (x \ (x * y))) = K(R(y,z,u),w). K(R(x,y,z),R(x / u,u,K(w,x)) \ (w \ (w * x))) = K(R(x,y,z),u). K(R(x,y,z),R(x / u,u,K(w,x)) \ x) = K(R(x,y,z),u). K(R(x,y,z),R(x / u,u,L(K(w,x),v5,v6)) \ x) = K(R(x,y,z),u). L(x,(x * y) * T(z,x),(x * y) * T(z,x)) = (x * (y * (x \ z))) * ((x \ (x * (y * (x \ z)))) \ 1). (x * (y * (x \ z))) * ((x \ (x * (y * (x \ z)))) \ 1) = L(x,(x * y) * T(z,x),(x * y) * T(z,x)). L(x,y * T(x * z,x),y * T(x * z,x)) = (x * ((x \ y) * z)) * ((x \ (x * ((x \ y) * z))) \ 1). (x * ((x \ y) * z)) * ((x \ (x * ((x \ y) * z))) \ 1) = L(x,y * T(x * z,x),y * T(x * z,x)). (x * ((x * x) \ y)) \ (((x \ 1) * y) * L(z,x,x)) = L(L(z,x \ y,1 / x),(1 / x) * (x \ y),x). ((x \ 1) * y) \ (((x \ 1) * y) * L(z,x,x)) = L(L(z,x \ y,1 / x),(1 / x) * (x \ y),x). L(L(x,y \ z,1 / y),(1 / y) * (y \ z),y) = ((y \ 1) * z) \ (((y \ 1) * z) * L(x,y,y)). L(x,y,y) = L(L(x,y \ z,1 / y),(1 / y) * (y \ z),y). L(L(x,y \ z,1 / y),(1 / y) * (y \ z),y) = L(x,y,y). L(L(x,y,1 / z),(1 / z) * y,z) != u | L(L(x,y,z),z * y,z \ 1) = u. L(L(x,y \ z,y),y * (y \ z),y \ 1) = L(x,y,y). L(L(x,y \ z,y),z,y \ 1) = L(x,y,y). ((x * (x \ y)) * ((1 / (x \ 1)) \ y)) \ 1 = ((1 / (x \ 1)) \ y) \ ((x \ 1) * ((y * (x \ 1)) \ 1)). ((1 / (x \ 1)) \ y) \ ((x \ 1) * ((y * (x \ 1)) \ 1)) = ((x * (x \ y)) * ((1 / (x \ 1)) \ y)) \ 1. ((1 / (x \ 1)) \ y) \ ((x \ 1) * ((y * (x \ 1)) \ 1)) = (y * ((1 / (x \ 1)) \ y)) \ 1. ((1 / (x \ 1)) \ y) \ ((x \ 1) * ((y * (x \ 1)) \ 1)) = (y * (x \ y)) \ 1. (x \ y) \ ((x \ 1) * ((y * (x \ 1)) \ 1)) = (y * (x \ y)) \ 1. (x \ y) \ (x * ((y * x) \ 1)) = (y * (x \ y)) \ 1. (x \ y) \ (x * ((y * x) \ 1)) != z | ((y \ x) \ 1) \ (x \ (x / y)) = z. ((x \ y) \ 1) \ (y \ (y / x)) = (x * (y \ x)) \ 1. (x * (x * T(x,x \ 1))) * y = T(x,x \ 1) * T(x * (y * T(x,x \ 1)),x \ 1). T(x,x \ 1) * T(x * (y * T(x,x \ 1)),x \ 1) = (x * (x * T(x,x \ 1))) * y. T(x,x \ 1) * T(x * (y * T(x,x \ 1)),x \ 1) = (x * T(x * x,x)) * y. x != (y * T(z,y)) * u | (z * y) * u = x. ((x * x) * x) * y = T(x,x \ 1) * T(x * (y * T(x,x \ 1)),x \ 1). T(x,x \ 1) * T(x * (y * T(x,x \ 1)),x \ 1) = ((x * x) * x) * y. T(x,x \ 1) * T((x * y) / (x \ 1),x \ 1) = ((x * x) * x) * y. T(x,x \ 1) * ((x \ 1) \ (x * y)) = ((x * x) * x) * y. ((x * y) * x) * x = ((x * x) * x) * y. (x * x) * (x * y) = ((x * x) * x) * y. ((x * x) * x) * y = (x * x) * (x * y). x != ((1 / y) * (1 / y)) * ((1 / y) * z) | (y \ (z / y)) / y = x. (x \ (y / x)) / x = (((1 / x) * (1 / x)) * (1 / x)) * y. (((1 / x) * (1 / x)) * (1 / x)) * y = (x \ (y / x)) / x. ((x * y) * y) * (z * (y \ (y \ (x \ 1)))) != u | T(z,x * (y * y)) = u. T(x,y * (y * y)) = (y * y) * (y * (x * (y \ (y \ (y \ 1))))). (x * x) * (x * (y * (x \ (x \ (x \ 1))))) = T(y,x * (x * x)). ((x \ 1) * (x \ (1 / x))) * y = (x \ (y / x)) / x. (x \ (x \ (1 / x))) * y = (x \ (y / x)) / x. (((1 / x) * y) * ((1 / x) * y)) / x = y * ((x \ (y / x)) / x). x / (1 / (y \ (y \ (1 / y)))) = (y \ (((y \ (y \ (1 / y))) * (x / (y \ (y \ (1 / y))))) / y)) / y. (x \ (((x \ (x \ (1 / x))) * (y / (x \ (x \ (1 / x))))) / x)) / x = y / (1 / (x \ (x \ (1 / x)))). x * (x * (y \ (y \ (1 / y)))) = (y \ ((x * x) / y)) / y. x \ (x \ ((x * x) \ (y / (x * x)))) = ((x * x) \ ((x * x) \ (1 / (x * x)))) * y. ((x * x) \ ((x * x) \ (1 / (x * x)))) * y = x \ (x \ ((x * x) \ (y / (x * x)))). x * (y \ ((y \ x) / y)) = (y \ ((x * x) / y)) / y. (x \ ((y * y) / x)) / x = y * (x \ ((x \ y) / x)). (x \ (y / x)) / x != z | (x \ (1 / x)) * ((1 / x) * y) = z. (x \ (1 / x)) * ((1 / x) * (y * y)) = y * (x \ ((x \ y) / x)). (x * x) * (x * ((x * x) \ (y / x))) = T(y,x * (x * x)). (x * x) * ((x \ 1) * (y / x)) = T(y,x * (x * x)). (x * x) * ((x \ 1) * y) != z | T(x,x \ 1) * y = z. T(x,x \ 1) * (y / x) = T(y,x * (x * x)). T(x,x \ 1) * (y / x) != z | T(y,x \ 1) = z. T(x,y \ 1) = T(x,y * (y * y)). T(x,y * (y * y)) = T(x,y \ 1). ((x \ y) * (x \ y)) / x = y * ((x \ (y / x)) / x). ((x \ y) * (x \ y)) / x != z | ((x \ y) / x) * (y / x) = z. ((x \ y) / x) * (y / x) = y * ((x \ (y / x)) / x). (T(x,y) / (1 / y)) * ((x / y) / (1 / y)) = (x / y) * (((1 / y) \ ((x / y) / (1 / y))) / (1 / y)). (x / y) * (((1 / y) \ ((x / y) / (1 / y))) / (1 / y)) = (T(x,y) / (1 / y)) * ((x / y) / (1 / y)). (((1 / x) \ (x \ y)) / (1 / x)) * (x * (y * (1 / x))) = (x \ y) * (((1 / x) \ ((x \ y) / (1 / x))) / (1 / x)). (x \ (1 / x)) * (y * (y * (1 / x))) = y * (x \ ((x \ y) / x)). (x \ (1 / x)) * y != z | (x \ 1) * (x \ y) = z. (x \ 1) * (x \ (y * (y * (1 / x)))) = y * (x \ ((x \ y) / x)). (x \ 1) * (x \ (y * (y * (1 / x)))) != z | (x * x) \ (x \ (y * y)) = z. (x * x) \ (x \ (y * y)) = y * (x \ ((x \ y) / x)). (x * x) \ (T(x,y) \ (z * z)) = z * (T(x,y) \ ((T(x,y) \ z) / T(x,y))). x * (T(y,z) \ ((T(y,z) \ x) / T(y,z))) = (y * y) \ (T(y,z) \ (x * x)). x * (T(y,y \ 1) \ ((T(y,y \ 1) \ x) / T(y,y \ 1))) = (y * y) \ (T(x * x,y) * (1 / y)). ((x * x) \ ((x * x) \ (x \ (x \ 1)))) * y = x \ (x \ ((x * x) \ (y / (x * x)))). (x \ (x \ (x \ (x \ (x \ (x \ 1)))))) * y = x \ (x \ ((x * x) \ (y / (x * x)))). (x \ (x \ (x \ (x \ (x \ (x \ 1)))))) * y = x \ (x \ (x \ (x \ ((x * x) \ y)))). x * (x * (y \ (y \ (y \ (y \ (y \ (y \ 1))))))) = y \ (y \ (y \ (y \ ((y * y) \ (x * x))))). (x \ (((x \ (x \ (1 / x))) * (x * ((x * y) * x))) / x)) / x = y / (1 / (x \ (x \ (1 / x)))). (x \ (((x \ ((x * ((x * y) * x)) / x)) / x) / x)) / x = y / (1 / (x \ (x \ (1 / x)))). (x \ (((x \ T((x * y) * x,x)) / x) / x)) / x = y / (1 / (x \ (x \ (1 / x)))). (x \ ((L(x * y,x,x) / x) / x)) / x = y / (1 / (x \ (x \ (1 / x)))). (x \ ((((x \ 1) \ y) / x) / x)) / x = y / (1 / (x \ (x \ (1 / x)))). (x \ ((x * (y / x)) / x)) / x = y / (1 / (x \ (x \ (1 / x)))). (x \ (x \ y)) / x = y / (1 / (x \ (x \ (1 / x)))). x / (1 / (y \ (y \ (1 / y)))) = (y \ (y \ x)) / y. x / (y * ((y * 1) * y)) = (y \ (y \ x)) / y. x / (y * (y * y)) = (y \ (y \ x)) / y. (x \ (x \ y)) / x = y / (x * (x * x)). x \ (x \ ((x * x) \ ((x * x) \ y))) = y / ((x * x) * ((x * x) * (x * x))). x / ((y * y) * ((y * y) * (y * y))) = y \ (y \ ((y * y) \ ((y * y) \ x))). x / ((y * y) * ((y * y) * (y * y))) = y \ (y \ (y \ (y \ (y \ (y \ x))))). x / ((y * y) * (y * (y * (y * y)))) = y \ (y \ (y \ (y \ (y \ (y \ x))))). x / (y * (y * (((y * y) * y) * y))) = y \ (y \ (y \ (y \ (y \ (y \ x))))). x / (y * (y * (y * (y * (y * y))))) = y \ (y \ (y \ (y \ (y \ (y \ x))))). x \ y != z \ (z \ (z \ (z \ (z \ (z \ u))))) | x * (u / (z * (z * (z * (z * (z * z)))))) = y. x * (y / (z * (z * (z * (z * (z * z)))))) = (z \ (z \ (z \ (z \ (z \ (z \ y)))))) * T(x,z \ (z \ (z \ (z \ (z \ (z \ y)))))). (x \ (x \ (x \ (x \ (x \ (x \ y)))))) * T(z,x \ (x \ (x \ (x \ (x \ (x \ y)))))) = z * (y / (x * (x * (x * (x * (x * x)))))). (x / y) * (((1 / y) \ ((x / y) / (1 / y))) / (1 / y)) = ((y \ 1) \ x) * ((x / y) / (1 / y)). (x / y) * (((1 / y) \ ((x / y) / (1 / y))) / (1 / y)) = ((y \ 1) \ x) * L(x,y,y). x != ((y \ 1) \ z) * L(u,y,y) | L((y * z) * u,y,y) = x. L((x * y) * y,x,x) = (y / x) * (((1 / x) \ ((y / x) / (1 / x))) / (1 / x)). (x / y) * (((1 / y) \ ((x / y) / (1 / y))) / (1 / y)) = L((y * x) * x,y,y). x != L((y * z) * z,y,y) | z / (1 / (z * y)) = x. x / (1 / (x * y)) = (x / y) * (((1 / y) \ ((x / y) / (1 / y))) / (1 / y)). (x / y) * (((1 / y) \ ((x / y) / (1 / y))) / (1 / y)) = x / (1 / (x * y)). (x / y) * (((1 / y) \ L(x,y,y)) / (1 / y)) = x / (1 / (x * y)). (x / y) * ((y * x) / (1 / y)) = x / (1 / (x * y)). (x / y) * (y * (x * y)) = x / (1 / (x * y)). x != (y * y) \ (z * (1 / y)) | (y \ (y \ z)) / y = x. (x \ (x \ T(y * y,x))) / x = y * (T(x,x \ 1) \ ((T(x,x \ 1) \ y) / T(x,x \ 1))). x * (T(y,y \ 1) \ ((T(y,y \ 1) \ x) / T(y,y \ 1))) = (y \ (y \ T(x * x,y))) / y. x != (y \ (y \ T(z,y))) / y | y \ ((y * y) \ z) = x. x \ ((x * x) \ (y * y)) = y * (T(x,x \ 1) \ ((T(x,x \ 1) \ y) / T(x,x \ 1))). x * (T(y,y \ 1) \ ((T(y,y \ 1) \ x) / T(y,y \ 1))) = y \ ((y * y) \ (x * x)). x * (T(y,y \ 1) \ ((T(x,y) * (1 / y)) / T(y,y \ 1))) = y \ ((y * y) \ (x * x)). x * (T((T(x,y) * (1 / y)) / T(y,y \ 1),y) * (1 / y)) = y \ ((y * y) \ (x * x)). x * ((T(T(x,y) * (1 / y),y) * (1 / y)) * (1 / y)) = y \ ((y * y) \ (x * x)). x * ((((y \ 1) * T(x,y)) * (1 / y)) * (1 / y)) = y \ ((y * y) \ (x * x)). x * (((y \ 1) * (T(x,y) / y)) * (1 / y)) = y \ ((y * y) \ (x * x)). x * ((y \ (y \ x)) * (1 / y)) = y \ ((y * y) \ (x * x)). x * ((y * y) \ (x / y)) = y \ ((y * y) \ (x * x)). x \ ((x * x) \ (y * y)) = y * ((x * x) \ (y / x)). x \ (y * (x \ (x \ y))) = y * ((x * x) \ (y / x)). x * (x * T((y \ (1 / y)) * (y \ (1 / y)),z)) = y \ (x * ((y * y) \ (x / y))). x * (x * T((y \ ((1 / y) / y)) / y,z)) = y \ (x * ((y * y) \ (x / y))). x * (x * T((y \ (y \ (y \ 1))) / y,z)) = y \ (x * ((y * y) \ (x / y))). x * (x * (y \ (y \ (y \ (y \ 1))))) = y \ (x * ((y * y) \ (x / y))). x * (y \ (y \ (y \ (y \ x)))) = y \ (x * ((y * y) \ (x / y))). x \ (y * ((x * x) \ (y / x))) = y * (x \ (x \ (x \ (x \ y)))). T((x * (y \ 1)) \ 1,y \ 1) * ((1 / y) * ((x * (y \ 1)) \ 1)) = ((x * (y \ 1)) \ 1) * (T(x,y \ 1) \ 1). (T(x,y) \ (L(y,z,z) \ x)) * ((L(y,z,z) \ x) / T(x,y)) = ((x * L(y,z,z)) \ T(x,y)) * (L(y,z,z) \ 1). L(x * (1 / T(y / z,y)),T(y / z,y),T(y / z,y)) = L(x,T(y / z,y),T(y / z,y)) * (y \ z). x != K(K(y,z),u) * (K(y,z) * w) | K(y,T(z,u)) * w = x. K(x,T(y,z)) * T(u * K(y,x),w) = T(K(y,x) * u,w) * T(K(x,y),T(z,T(K(y,x) * u,w))). T(K(x,y) * z,u) * T(K(y,x),T(w,T(K(x,y) * z,u))) = K(y,T(x,w)) * T(z * K(x,y),u). T(K(x,y) * z,u) * K(y,T(x,T(w,T(K(x,y) * z,u)))) = K(y,T(x,w)) * T(z * K(x,y),u). (T(1 / x,y) \ x) * (((x * T(x,y)) \ ((x \ 1) \ y)) * z) = ((y / x) \ ((x \ 1) \ y)) * ((y / x) * z). (((x / y) \ 1) * z) * (K(y,y \ x) / (x / y)) = ((1 / (x / y)) * z) * ((x / y) \ ((x / y) \ (y \ x))). ((1 / (x / y)) * z) * ((x / y) \ ((x / y) \ (y \ x))) = (((x / y) \ 1) * z) * (K(y,y \ x) / (x / y)). ((1 / (x / y)) * z) * ((x / y) \ ((x / y) \ (y \ x))) = (((x / y) \ 1) * z) * (1 / (y \ x)). ((1 / (x / y)) * z) * ((x / y) \ K(y,y \ x)) = (((x / y) \ 1) * z) * (1 / (y \ x)). ((1 / (x / y)) * z) * ((y \ x) \ 1) = (((x / y) \ 1) * z) * (1 / (y \ x)). ((1 / (x / y)) * z) * ((y \ x) \ 1) != u | ((y / x) * z) * (x \ y) = u. ((x / y) * z) * (y \ x) = (((y / x) \ 1) * z) * (1 / (x \ y)). (((x / y) \ 1) * z) * (1 / (y \ x)) = ((y / x) * z) * (x \ y). (((x / y) \ 1) * z) * (1 / (y \ x)) != u | ((x \ 1) \ (y \ 1)) \ (z * (1 / (y \ x))) = u. ((x \ 1) \ (y \ 1)) \ (z * (1 / (y \ x))) = ((y / x) * z) * (x \ y). ((x * ((1 / x) * y)) / (1 / x)) * (x * (y * (1 / x))) = (x \ y) * (((1 / x) \ ((x \ y) / (1 / x))) / (1 / x)). (x \ (1 / (y \ 1))) * ((1 / y) * ((x * (y \ 1)) \ 1)) = ((x * (y \ 1)) \ 1) * (T(x,y \ 1) \ 1). (x \ y) * ((1 / y) * ((x * (y \ 1)) \ 1)) = ((x * (y \ 1)) \ 1) * (T(x,y \ 1) \ 1). ((x * (y \ 1)) \ 1) * (T(x,y \ 1) \ 1) = (x \ y) * ((1 / y) * ((x * (y \ 1)) \ 1)). ((x * (y \ 1)) \ 1) * (T(x,y \ 1) \ 1) = (x \ y) * ((x \ y) * (1 / y)). (T(x,y) \ (L(y,z,z) \ x)) * ((L(y,z,z) \ x) / T(x,y)) = L(T(y \ 1,x),z,z) * (L(y,z,z) \ 1). x != L(y,z,z) * (L(u,z,z) \ 1) | L(y * (u \ 1),z,z) = x. L(T(x \ 1,y) * (x \ 1),z,z) = (T(y,x) \ (L(x,z,z) \ y)) * ((L(x,z,z) \ y) / T(y,x)). (T(x,y) \ (L(y,z,z) \ x)) * ((L(y,z,z) \ x) / T(x,y)) = L(T(y \ 1,x) * (y \ 1),z,z). (T(x,y) \ (L(y,z,z) \ x)) * ((L(y,z,z) \ x) / T(x,y)) = L(y \ T(1 / y,x),z,z). (L(x,y,y) \ 1) * ((L(x,y,y) \ z) / T(z,x)) = L(x \ T(1 / x,z),y,y). (L(x,y,y) \ 1) * ((z * L(x,y,y)) \ T(z,x)) = L(x \ T(1 / x,z),y,y). (L(x,y,y) \ 1) * L(T(x \ 1,z),y,y) = L(x \ T(1 / x,z),y,y). (x * (((1 / x) * y) * x)) * (x * (y * (1 / x))) = (x \ y) * (((1 / x) \ ((x \ y) / (1 / x))) / (1 / x)). (x \ y) * (((1 / x) \ ((x \ y) / (1 / x))) / (1 / x)) = (x * (((1 / x) * y) * x)) * (x * (y * (1 / x))). (x \ y) * (((1 / x) \ ((x \ y) / (1 / x))) / (1 / x)) = (y * x) * (x * (y * (1 / x))). x != (y * z) * (z * (y * (1 / z))) | y / (1 / (y * z)) = x. x / (1 / (x * y)) = (y \ x) * (((1 / y) \ ((y \ x) / (1 / y))) / (1 / y)). (x \ y) * (((1 / x) \ ((x \ y) / (1 / x))) / (1 / x)) = y / (1 / (y * x)). (x \ y) * (((1 / x) \ (x * (y * (1 / x)))) / (1 / x)) = y / (1 / (y * x)). (x \ y) * ((x * ((x \ 1) \ (y * (1 / x)))) / (1 / x)) = y / (1 / (y * x)). (x \ y) * ((x * (x * (y / x))) / (1 / x)) = y / (1 / (y * x)). (x \ y) * ((y / (1 / x)) / (1 / x)) = y / (1 / (y * x)). (x \ y) * (((1 / x) * (1 / x)) \ y) = y / (1 / (y * x)). (x \ y) * (((x \ 1) * (x \ 1)) \ y) = y / (1 / (y * x)). (x \ y) * ((x \ (1 / x)) \ y) = y / (1 / (y * x)). (x \ y) * (x * ((x \ 1) \ y)) = y / (1 / (y * x)). (x * (y * z)) \ ((x * y) * ((L(z,y,x) \ z) * L(z,y,x))) = T(a(x,y,z),(x * y) \ (x * (y * z))). (x * (y * z)) \ ((x * y) * z) = T(a(x,y,z),(x * y) \ (x * (y * z))). T(a(x,y,z),(x * y) \ (x * (y * z))) = (x * (y * z)) \ ((x * y) * z). a(x,y,z) = T(a(x,y,z),(x * y) \ (x * (y * z))). T(a(x,y,z),(x * y) \ (x * (y * z))) = a(x,y,z). T(a(x,y,z),L(z,y,x)) = a(x,y,z). T(L(x,y,z),a(z,y,x)) = L(x,y,z). T(x,a(y,z,x)) = x. T(a(x,y,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). x * y != T(z,a(u,w,z)) | x \ z = y. a(x,y,z) \ z = z * (a(x,y,z) \ 1). x * (a(y,z,x) \ 1) = a(y,z,x) \ x. x * (L(y,x,z) \ y) = a(y \ 1,z,x) \ x. a(x \ 1,y,z) \ z = z * (L(x,z,y) \ x). L(x \ y,(1 / x) \ 1,((x \ 1) \ z) \ 1) = L(z \ 1,1 / x,1 / x) \ (((z \ 1) * (1 / x)) * y). L(x \ 1,1 / y,1 / y) \ (((x \ 1) * (1 / y)) * z) = L(y \ z,(1 / y) \ 1,((y \ 1) \ x) \ 1). L(x \ 1,1 / y,1 / y) \ (((x \ 1) * (1 / y)) * z) = L(y \ z,y,((y \ 1) \ x) \ 1). (K(x,y) * (R(T(y,z),u,w) * (K(y,x) * v5))) / (K(y,x) \ (R(T(y,z),u,w) * v5)) = R(K(y,x),R(T(y,z),u,w),v5). (R(T(x,y),z,u) * w) / (K(x,v5) \ (R(T(x,y),z,u) * w)) = R(K(x,v5),R(T(x,y),z,u),w). K(x,y) = R(K(x,y),R(T(x,z),u,w),v5). R(K(x,y),R(T(x,z),u,w),v5) = K(x,y). R(K(x,y),R(x,z,u),w) = K(x,y). K(x,(R(x,y,z) * u) / w) = K(x,R(x,y,z) / (w / u)). (x * (y * z)) * ((u * ((x * (y * z)) \ (x * y))) / u) = (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)). x * ((y * z) * ((u * ((y * z) \ y)) / u)) = (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)). (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)) = x * ((y * z) * ((u * ((y * z) \ y)) / u)). (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)) = x * (y * (z * ((u * (z \ 1)) / u))). L(x * ((y * (x \ 1)) / y),z,u) = L(x,z,u) * ((y * (L(x,z,u) \ 1)) / y). L(x,y,z) * ((u * (L(x,y,z) \ 1)) / u) = L(x * ((u * (x \ 1)) / u),y,z). x * ((y * (x \ 1)) / y) != z | y \ T(y,x \ 1) = z. x \ T(x,L(y,z,u) \ 1) = L(y * ((x * (y \ 1)) / x),z,u). L(x * ((y * (x \ 1)) / y),z,u) = y \ T(y,L(x,z,u) \ 1). L(x \ T(x,y \ 1),z,u) = x \ T(x,L(y,z,u) \ 1). K(x,L(y,z,u) \ 1) = L(x \ T(x,y \ 1),z,u). L(x \ T(x,y \ 1),z,u) = K(x,L(y,z,u) \ 1). L(K(x,y \ 1),z,u) = K(x,L(y,z,u) \ 1). L(K(x,y),z,u) = K(x,L(y \ 1,z,u) \ 1). K(x,L(y \ 1,z,u) \ 1) = L(K(x,y),z,u). L(K(x,K(y,z)),u,w) = K(x,L(K(z,y),u,w) \ 1). K(x,L(K(y,z),u,w) \ 1) = L(K(x,K(z,y)),u,w). L(K(x,y \ z),u,w) = K(x,L(z \ y,u,w) \ 1). K(x,L(y \ z,u,w) \ 1) = L(K(x,z \ y),u,w). K(x,L(K(y,z \ 1),u,w)) = K(x,K(y,L(z,u,w))). K(x,y) != z | (u * K(y,x)) \ u = z. (x * K(L(y \ 1,z,u) \ 1,w)) \ x = L(K(w,y),z,u). K(x,L(y \ 1,z,u) \ 1) != w | L(K(y,x),z,u) \ 1 = w. L(K(x,y),z,u) \ 1 = L(K(y,x),z,u). K(x,L(y,z / y,u)) = L(K(x,y),z,u). 1 / L(K(x,y),z,u) != w | L(K(y,x),z,u) = w. K(x,L(y,z / T(y,u),w)) = L(K(T(x,u),T(y,u)),z,w). L(K(T(x,y),T(z,y)),u,w) = K(x,L(z,u / T(z,y),w)). K(x,L(y,z,u)) = L(K(x,y),z * y,u). L(K(x,y),z * y,u) = K(x,L(y,z,u)). K(x,L(y \ z,y,u)) = L(K(x,y \ z),z,u). L(K(x,y \ z),z,u) = K(x,L(y \ z,y,u)). K(x,y) = L(K(x,y),z,K(u,y)). L(K(x,y),z,K(u,y)) = K(x,y). K(L(x,y,K(z,u)),u) = K(x,u). K(L(x \ y,x,K(z,u)),u) != w | K(x \ (K(z,u) * y),u) = w. K(x \ (K(y,z) * u),z) = K(x \ u,z). K(x,L(y,z,u)) * K(y,x) = a(u,z * y,K(y,x)). K(x \ y,x) * ((x \ (K(z,x) * y)) \ u) = ((K(z,x) * y) / x) \ u. K(x \ y,z) = K(x \ (y * K(z,u)),z). K(x \ (y * K(z,u)),z) = K(x \ y,z). K(x \ (y * (z * u)),z) = K(x \ (y * (u * z)),z). K(x \ (y * (z * u)),u) = K(x \ (y * (u * z)),u). L(K(x,y \ z),z,u) = K(x,(u * y) \ (u * z)). L(K(x,y \ (z \ u)),z \ u,z) = K(x,(z * y) \ u). L(K(x,(y \ z) \ u),u,y) = K(x,z \ (y * u)). x != K(y,(z * (y \ 1)) \ u) | K(y,z \ (u * y)) = x. K(x,y \ ((y * z) * x)) = L(K(x,(x \ 1) \ z),z,y). L(K(x,(x \ 1) \ y),y,z) = K(x,z \ ((z * y) * x)). L(K(x,y \ z),z,u) != w | K(x,L(y \ z,y,u)) = w. K(x,L(y \ z,y,u)) = K(x,(u * y) \ (u * z)). L(K(x,y),x,z) != u | K(x,y) = u. K(x,y \ x) = K(x,(z * y) \ (z * x)). K(x,(y * z) \ (y * x)) = K(x,z \ x). x \ y != K(z,(u * w) \ (u * z)) | x * K(z,w \ z) = y. x * K(x,y \ x) = T(x,(z * y) \ (z * x)). T(x,(y * z) \ (y * x)) = x * K(x,z \ x). K(x,y \ (z * x)) = K(x,(z \ y) \ x). K(x,(y \ z) \ x) = K(x,z \ (y * x)). 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) = K(x,L(y,z,u) \ (y * x)). K(x,L(y,z,u) \ (y * x)) = K(x,(x / L(y,z,u)) * y). K(x,K(y,z \ (u * y))) = K(x,K(u \ z,y)). T(x,y \ x) = T(x,(z * y) \ (z * x)). T(x,(y * z) \ (y * x)) = T(x,z \ x). T(x,y \ (z * x)) = T(x,(z \ y) \ x). T(x,(y \ z) \ x) = T(x,z \ (y * x)). K(x,T(y,z \ (u * y))) = K(x,T(y,z \ u)). x != K(y,K(z \ u,w)) | K(y,K(w,u \ z)) = x. K(x,K(y,z \ u)) = K(x,K(y,z \ (u * y))). K(x,K(y,z \ (u * y))) = K(x,K(y,z \ u)). K(x,T(y,(y \ z) \ u)) = K(x,T(y,z \ u)). K(x,K(y * (z / u),u)) = K(x,K(u,(y * z) \ u)). K(x \ y,T(x,z)) = K(x \ y,T(x,y \ z)). K(x \ y,T(x,y \ z)) = K(x \ y,T(x,z)). K(x \ y,T(x,z)) = K(x \ y,T(x,y * z)). K(x \ y,T(x,y * z)) = K(x \ y,T(x,z)). L(T(K(x \ y,T(x,z)),z),z,y) = (y * (K(x \ y,x) * z)) / (y * z). L(K(x,y),x * z,u) != w | K(L(x,z,u),y) = w. K(L(x,y,z),(z \ u) \ (x * y)) = K(x,u \ (z * (x * y))). L(K((x \ y) \ z,u),z,x) != w | K(y \ (x * z),u) = w. K(x \ (y * z),(y \ u) \ z) = K((y \ x) \ z,u \ (y * z)). K((x \ y) \ z,u \ (x * z)) = K(y \ (x * z),(x \ u) \ z). K(x,L(K(y,z),u,w)) = L(K(x,K(y,z)),u,w). L(K(x,K(y,z)),u,w) = K(x,L(K(y,z),u,w)). L(K(x,K(y,z)),u,w) = K(y,L(K(z,x \ 1),u,w)). K(x,L(K(y,z \ 1),u,w)) = L(K(z,K(x,y)),u,w). K((x * (y * z)) \ (x * ((z * u) * y)),y) = K(L(L(u,z,y),y * z,x),y). x != K(y,K(z,u \ z)) | K(y,K(u,z)) = x. K(x,K(y * z,u)) = K(x,K(y * (z / u),u)). K(x,K(y * (z / u),u)) = K(x,K(y * z,u)). K(x,y) * K(x,K(z * u,y)) = K(x,T(y,z * (u / y))). K(x,L(K(y,z \ 1),u,w)) != v5 | K(x,K(y,L(z,u,w))) = v5. K(x,K(y,L(z,u,w))) = L(K(z,K(x,y)),u,w). L(K(x,K(y,z)),u,w) = K(y,K(z,L(x,u,w))). L(K(x,K(y,z)),u,w) = K(x,K(y,L(z,u,w))). L(K(x,K(y,z)),u,w) = K(x,K(z,L(y,u,w))). x \ y != L(K(z,K(u,w)),v5,v6) | x * K(z,K(u,L(w,v5,v6))) = y. (x * y) * K(z,K(u,L(w,y,x))) = x * (y * K(z,K(u,w))). L(K(x,K(y,z)),u,w) != v5 | K(x,L(K(y,z),u,w)) = v5. K(x,L(K(y,z),u,w)) = K(x,K(z,L(y,u,w))). K(L(K(x,y),z,u),w) = K(w,K(y,L(x,z,u))). x \ y != K(z,K(u,L(w,v5,v6))) | x * K(L(K(w,u),v5,v6),z) = y. x * K(L(K(y,z),u,w),x) = T(x,K(z,L(y,u,w))). T(x,L(K(y,z),u,w)) = T(x,K(z,L(y,u,w))). T(x,L(K(y,z),u,w)) = T(x,K(y,L(z,u,w))). x / L(K(y,z),u,w) = T(L(K(y,z),u,w) \ x,K(y,L(z,u,w))). T(L(K(x,y),z,u) \ w,K(x,L(y,z,u))) = w / L(K(x,y),z,u). L(K(x,y \ ((z \ u) * x)),z \ u,z) = K(x,(z * (x \ y)) \ u). L(K(x,(y * z) \ ((u \ w) * x)),u \ w,u) = K(x,(u * (y * (z / x))) \ w). L(K(x,x * y),y,z) = K(x,z \ ((z * y) * x)). x \ y != K(z,u \ ((u * w) * z)) | x * L(K(z,z * w),w,u) = y. x * L(K(x,x * y),y,z) = T(x,z \ ((z * y) * x)). T(x,y \ ((y * z) * x)) = x * L(K(x,x * z),z,y). L(K(x,x * (y \ z)),y \ z,y) = K(x,y \ (z * x)). L(K(x,y * x),y,z) = K(x,z \ ((z * y) * x)). L(K(L(x,y,z),y * L(x,y,z)),y,z) = K(L(x,y,z),y * x). (x * L(K(y,z),u,w)) \ x = L(K(z,y),u,w). x / L(K(y,z),u,w) = x * L(K(z,y),u,w). (x * (y * K(z,u))) \ (x * y) = L(K(u,z),y,x). L(K(x,y),z,u) * w = L(K(y,x),z,u) \ w. L(K(x,y),z,u) \ w = L(K(y,x),z,u) * w. x = L(K(y,z),u,w) * (L(K(z,y),u,w) * x). L(K(x,y),z,u) * (L(K(y,x),z,u) * w) = w. x \ y != L(K(z,u),w,v5) * K(u,z) | x * a(v5,w,K(u,z)) = y. L(K(x,y),z,u) * a(u,z,K(x,y)) = K(x,y). L(K(x,y),z,u) \ w != v5 | L(K(y,x),z,u) * w = v5. K(x,y) * z = a(u,w,K(x,y)) * (L(K(x,y),w,u) * z). a(x,y,K(z,u)) * (L(K(z,u),y,x) * w) = K(z,u) * w. K(a(x,y,z),u) * a(x * y,z,K(L(z,y,x) \ z,u)) = K(L(z,y,x) \ z,u). (x * (K(y,z) * u)) \ (x * u) = L(K(z,T(y,u)),u,x). K(x,y) = L(K(x,T(y,L(y,z,u))),L(y,z,u),w). L(K(x,T(y,L(y,z,u))),L(y,z,u),w) = K(x,y). L(K(x,y),L(y,z,u),w) = K(x,y). K(x \ (y * L(z,u,w)),z) = K((y \ x) \ L(z,u,w),z). K((x \ y) \ L(z,u,w),z) = K(y \ (x * L(z,u,w)),z). L(K(x,y),z,u) = K(x,L(y,z / T(y,w),u)). K(x,L(y,z / T(y,u),w)) = L(K(x,y),z,w). K(x,L(y,z,u)) = L(K(x,y),y * z,u). L(K(x,y),y * z,u) = K(x,L(y,z,u)). K(x,L(y,y \ z,u)) = L(K(x,y),z,u). L(K(x,y),z,u) * K(y,x) = a(u,(z / T(y,w)) * y,K(y,x)). a(x,(y / T(z,u)) * z,K(z,w)) = L(K(w,z),y,x) * K(z,w). x \ y != L(K(z,u),u * w,v5) | x * K(z,L(u,w,v5)) = y. (x * (y * z)) * K(u,L(y,z,x)) = x * ((y * z) * K(u,y)). K(x,y) * K(y,L(x,z,u)) = a(u,x * z,K(x,y)). K(x,y * (L(y,z,u) \ x)) = K(x,(x / L(y,z,u)) * y). K(x,(x / L(y,z,u)) * y) = K(x,y * (L(y,z,u) \ x)). K(x,y) * K(x,K(z,y)) != u | K(x,T(y,z)) = u. K(x,T(y,z * u)) = K(x,T(y,z * (u / y))). K(x,T(y,z * (u / y))) = K(x,T(y,z * u)). K(x,T(y,z * (y \ u))) = K(x,T(y,z * u)). x / (K(y,T(z,u * w)) * x) = K(T(z,u * (z \ w)),y). K(T(x,y * (x \ z)),u) = w / (K(u,T(x,y * z)) * w). 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. K(T(x,y * z),u) = K(T(x,y * (x \ z)),u). K(T(x,y * (x \ z)),u) = K(T(x,y * z),u). K(x,T(y,z * u)) = K(T(x,z * (x \ u)),y). K(T(x,y * (x \ z)),u) = K(x,T(u,y * z)). K(T(x,y * (x \ z)),u) != w | K(x,T(u,y * z)) = w. K(x,y / (z * (x \ u))) = K(x,T((z * (x \ u)) \ y,z * u)). K(x,T((y * (x \ z)) \ u,y * z)) = K(x,u / (y * (x \ z))). K(x,T(y,z * (x \ u))) = K(x,T(y,z * u)). K(x,T(y,z * (x \ u))) != w | K(x,T(y,z * (u / x))) = w. K(x,T(y,z * (u / x))) = K(x,T(y,z * u)). 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. 1 / a(x,y,K(z,u)) = a(x,y,K(u,z)). (x * a(y,z,K(u,w))) \ x = a(y,z,K(w,u)). x / (a(y,z,K(u,w)) * x) = a(y,z,K(w,u)). a(x,y,K(z,u)) \ w = a(x,y,K(z,u)) * w. x / a(y,z,K(u,w)) != v5 | x * a(y,z,K(w,u)) = v5. T(x / a(y,z,K(u,w)),a(y,z,K(u,w))) = a(y,z,K(u,w)) * x. x != y * ((z * (u / y)) * y) | ((1 / y) \ z) * u = x. ((1 / a(x,y,K(z,u))) \ w) * v5 = a(x,y,K(z,u)) \ ((w * (v5 / a(x,y,K(z,u)))) * a(x,y,K(z,u))). a(x,y,K(z,u)) \ ((w * (v5 / a(x,y,K(z,u)))) * a(x,y,K(z,u))) = ((1 / a(x,y,K(z,u))) \ w) * v5. a(x,y,z) \ x != u | L(1 / x,z,y) \ 1 = u. L(1 / x,K(y,z),u) \ 1 = a(x,u,K(y,z)) * x. K(L(x,y * z,u),(u \ (u * (x * y))) \ (x * (y * z))) = K(x,L(L(z,y,x),x * y,u)). x * (y * K(z,K(u,w))) != (x * y) * v5 | K(z,K(u,L(w,y,x))) = v5. (x * y) * z != x * (y * K(u,K(w,v5))) | K(u,K(w,L(v5,y,x))) = z. (x * (y * z)) * K(u,L(y,z,x)) = x * (y * (z * K(u,y))). (x * (y * (K(z,y) \ (y \ u)))) * K(z,L(y,K(z,y) \ (y \ u),x)) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y). K((R(x,y,z) \ (R(x,y,z) * (x \ u))) \ u,w \ (R(x,y,z) * u)) = K(T(x,R(x,y,z) * (x \ u)),(R(x,y,z) \ w) \ u). x != K(L(y,z,u),z * y) | K(y,y * z) = x. K(x,x * y) = L(K(L(x,y,z),y * L(x,y,z)),y,z). L(K(L(x,y,z),y * L(x,y,z)),y,z) = K(x,x * y). x != L(K(y,z),u,w) * K(z,y) | a(w,u,K(z,y)) = x. a(x,y,K(z,u)) = a(x,(y / T(z,w)) * z,K(z,u)). a(x,(y / T(z,u)) * z,K(z,w)) = a(x,y,K(z,w)). a(x,y * K(z,u),K(z,w)) = a(x,y,K(z,w)). a(x,T(y,K(z,u)),K(z,w)) = a(x,y,K(z,w)). a(x,T(y,z),z) != u | a(x,y,T(z,y)) = u. a(x,y,T(K(z,u),y)) = a(x,y,K(z,u)). a(x,y,K(z,T(u,y))) = a(x,y,K(z,u)). a(x,y,K(z,u * y)) = a(x,y,K(z,y * u)). K(x,T((y * z) \ (u * x),y * z)) = K(x,u / (y * (x \ z))). K(x,T(y \ (z * x),y)) != u | K(x,(y / z) \ x) = u. K(x,((y * z) / u) \ x) = K(x,u / (y * (x \ z))). K(x,y / (z * (x \ u))) = K(x,((z * u) / y) \ x). T(L(K(x,y),z,u) * w,K(y,L(x,z,u))) = w / L(K(y,x),z,u). x != K(y,(z * (y \ u)) \ w) | K(y,(z * u) \ (w * y)) = x. K(x,(y * z) \ (u * x)) = L(K(x,z \ ((y \ u) * x)),y \ u,y). L(K(x,y \ ((z \ u) * x)),z \ u,z) = K(x,(z * y) \ (u * x)). x != y / L(K(z,u),w,v5) | y * L(K(u,z),w,v5) = x. x * L(K(y,z),u,w) = T(L(K(y,z),u,w) * x,K(z,L(y,u,w))). T(L(K(x,y),z,u) * w,K(y,L(x,z,u))) = w * L(K(x,y),z,u). T(x * L(K(y,z),u,w),K(z,L(y,u,w))) = L(K(y,z),u,w) * x. K(x \ y,x) * ((T(x,z) \ y) \ u) = ((K(z,x) * y) / x) \ u. K(x \ y,x) * ((T(x,z) \ y) \ u) = (K(z,x) * (y / x)) \ u. L(K(x \ y,x),z,y) = (y * (K(x \ y,x) * z)) / (y * z). (x * (K(y \ x,y) * z)) / (x * z) = L(K(y \ x,y),z,x). L(K(x \ y,x),z,y) * (y * z) = y * (K(x \ y,x) * z). L(K(x,y),z,y * x) * ((y * x) * z) = (y * x) * (K(y \ (y * x),y) * z). x != K(L(L(y,z,u),w,v5),u) | K(L(y,w,v5),u) = x. K(L(x,y * z,u),y) = K((u * (y * z)) \ (u * ((z * x) * y)),y). K((x * (y * z)) \ (x * ((z * u) * y)),y) = K(L(u,y * z,x),y). K((x * (y * z)) \ u,y) != w | K((x * z) \ (y \ u),y) = w. K((x * y) \ (z \ (x * ((y * u) * z))),z) = K(L(u,z * y,x),z). L(K(x,y \ ((z \ u) * x)),z \ u,z) != w | K(x,(z * y) \ (u * x)) = w. K(x,(y * (z * u)) \ (w * x)) = K(x,(y * (z * (u / x))) \ w). K(x,(y * (z * (u / x))) \ w) = K(x,(y * (z * u)) \ (w * x)). L(K(x,y),z,y * x) * ((y * x) * z) = (y * x) * (K(x,y) * z). K(L(x,y * z,u),(x * y) \ (x * (y * z))) = K(x,L(L(z,y,x),x * y,u)). K(L(x,y * z,u),L(z,y,x)) = K(x,L(L(z,y,x),x * y,u)). K(L(x,y * z,u),z) = K(x,L(L(z,y,x),x * y,u)). x != K(y,L(L(z,u,y),w,v5)) | K(y,L(z,w,v5)) = x. K(x,L(y,x * z,u)) = K(L(x,z * y,u),y). K(L(x,y * z,u),z) = K(x,L(z,x * y,u)). K(L(x,(x \ y) * z,u),z) = K(x,L(z,y,u)). K(L(x,T(y * (x \ z),y),u),R(y,x \ z,y)) = K(x,L(R(y,x \ z,y),z,u)). K(x,y \ K(z,L(x,u,w))) = K(x,y \ 1). K(x,y) = K(x,L(y,z,K(u,x))). K(x,L(y,z,K(u,x))) = K(x,y). K(x,L(L(y,z,K(u,x)),w,v5)) = K(x,L(y,w,v5)). K(x,(K(y,x) * z) \ u) = K(x,z \ (K(x,y) * u)). K(x,(T(y,z) \ u) \ K(z,y)) != w | K(x,u \ y) = w. K(x,y \ L(x,z,u)) = K(x,(T(L(x,z,u),w) \ y) \ 1). K(x,(T(L(x,y,z),u) \ w) \ 1) = K(x,w \ L(x,y,z)). K(x,y \ K(z,L(L(x,u,w),v5,v6))) = K(x,y \ 1). K(x,(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 * K(x,u))) = K(x,y \ z). K(x,y \ (z * u)) = K(x,y \ (z * (K(w,x) * u))). K(x,y \ (z * (K(u,x) * w))) = K(x,y \ (z * w)). K(x,y \ (z * (u / x))) = K(x,y \ (z * (x \ u))). K(x,y \ T(z,T(u,x))) = K(x,y \ T(z,u)). K(x,y \ T(z,x / u)) = K(x,y \ T(z,u \ x)). K(x,y \ L(L(x,z,u),w,v5)) = K(x,(T(L(L(x,z,u),w,v5),v6) \ y) \ 1). K(x,(T(L(L(x,y,z),u,w),v5) \ v6) \ 1) = K(x,v6 \ L(L(x,y,z),u,w)). K(x,L(L(y,z,K(u,x)),K(u,x) * z,w)) = K(x,(w * (K(u,x) * z)) \ (w * (z * y))). K(x,(y * z) \ z) != u | K(x,z \ (y \ z)) = u. K(x,(y * (z / x)) \ (u \ (y * (z / x)))) = K(x,(u * (y * (z / x))) \ (y * (x \ z))). K(x,(y * (z * (u / x))) \ (z * (x \ u))) = K(x,(z * (u / x)) \ (y \ (z * (u / x)))). K(x,y \ T(L(x,z,u),w)) = K(x,y \ L(x,z,u)). K(x,y \ L(T(x,z),u,w)) = K(x,y \ L(x,u,w)). K(x,y \ T(L(L(x,z,u),w,v5),v6)) = K(x,y \ L(L(x,z,u),w,v5)). K(x,y \ L(T(x,x * z),u,w)) = K(x,y \ L(L(x,z,x),u,w)). K(x,y \ L(T(x,z),u,w)) != v5 | K(x,y \ L(x,u,w)) = v5. K(x,y \ L(x,z,u)) = K(x,y \ L(L(x,w,x),z,u)). K(x,y \ L(L(x,z,x),u,w)) = K(x,y \ L(x,u,w)). K(x,(y \ 1) \ L(x,z,u)) * (K(y,x) * L(x,z,u)) = L(L(x,y,x),z,u). K(x,y * L(x,z,u)) * (K(y,x) * L(x,z,u)) = L(L(x,y,x),z,u). K(L(x,T(y * (x \ z),y),u),y) = K(x,L(R(y,x \ z,y),z,u)). K(x,L(L(y,z,K(u,x)),w,v5)) != v6 | K(x,L(y,w,v5)) = v6. K(x,L(y,K(z,x) * u,w)) = K(x,(w * (K(z,x) * u)) \ (w * (u * y))). K(x,(y * (K(z,x) * u)) \ (y * (u * w))) = K(x,L(w,K(z,x) * u,y)). K(x,(y * (K(z,x) * u)) \ w) != v5 | K(x,(y * u) \ w) = v5. K(x,(y * z) \ (y * (z * u))) = K(x,L(u,K(w,x) * z,y)). K(x,L(y,K(z,x) * u,w)) = K(x,(w * u) \ (w * (u * y))). K(x,L(y,K(z,x) * u,w)) = K(x,L(y,u,w)). K(x,L(y,K(x,z) * u,w)) = K(x,L(y,u,w)). K(x,L(y,K(x,z) \ u,w)) = K(x,L(y,u,w)). (x \ 1) / (x \ K(x,L(y,z,u))) = K(L(y,K(x,w) * z,u),x). K(L(x,K(y,z) * u,w),y) = (y \ 1) / (y \ K(y,L(x,u,w))). x != (y \ 1) / (y \ K(y,z)) | K(z,y) = x. K(L(x,y,z),u) = K(L(x,K(u,w) * y,z),u). K(L(x,K(y,z) * u,w),y) = K(L(x,u,w),y). K(L(x,y,z),u) = K(L(x,T(y,u),z),u). K(L(x,T(y,z),u),z) = K(L(x,y,u),z). K(L(x,T(y * (x \ z),y),u),y) != w | K(x,L(R(y,x \ z,y),z,u)) = w. K(x,L(R(y,x \ z,y),z,u)) = K(L(x,y * (x \ z),u),y). K(x,L(R(y,z,y),u,w)) != v5 | K(x,L(y,u,w)) = v5. K(x,L(y,z,u)) = K(L(x,y * (x \ z),u),y). K(L(x,y * (x \ z),u),y) = K(x,L(y,z,u)). K(x,(y * (z * (u / x))) \ w) != v5 | K(x,(y * (z * u)) \ (w * x)) = v5. K(x,(y * (z * u)) \ ((z * (x \ u)) * x)) = K(x,(z * (u / x)) \ (y \ (z * (u / x)))). K(x,(y * (z / x)) \ (u \ (y * (z / x)))) = K(x,(u * (y * z)) \ ((y * (x \ z)) * x)). K(x,T(y \ 1,z * (u / x))) = K(x,(y * (z * u)) \ ((z * (x \ u)) * x)). K(x,(y * (z * u)) \ ((z * (x \ u)) * x)) = K(x,T(y \ 1,z * (u / x))). x != K(y,T(z,u * (w / y))) | K(y,T(z,u * w)) = x. K(x,T(y \ 1,z * u)) = K(x,(y * (z * u)) \ ((z * (x \ u)) * x)). K(x,(y * (z * u)) \ ((z * (x \ u)) * x)) = K(x,T(y \ 1,z * u)). K(x,y \ ((z * (x \ u)) * x)) = K(x,T((y / (z * u)) \ 1,z * u)). K(x,T((y / (z * u)) \ 1,z * u)) = K(x,y \ ((z * (x \ u)) * x)). K(x,T((y / z) \ 1,z)) != u | K(x,y \ z) = u. K(x,y \ (z * u)) = K(x,y \ ((z * (x \ u)) * x)). K(x,y \ ((z * (x \ u)) * x)) = K(x,y \ (z * u)). K(x,y * (x \ z)) = K(x,x \ (y * z)). K(x,x \ (y * z)) = K(x,y * (x \ z)). K(x,y \ (((x \ y) * z) * x)) != u | K(x,z) = u. K(x,x \ y) = K(x,z \ ((x \ z) * y)). K(x,y \ ((x \ y) * z)) = K(x,x \ z). x != K(y,z * (y \ u)) | K(y,(z \ y) \ u) = x. K(x,(y \ x) \ z) = K(x,x \ (y * z)). x != K(y,z * (y \ u)) | K(y,z * (u / y)) = x. K(x,y * (z / x)) = K(x,x \ (y * z)). K(x,x \ (y * z)) = K(x,y * (z / x)). (x * K(y,z * (y \ u))) \ x = K(y \ (z * u),y). T(x,K(y,z * (y \ u))) = T(x,K(y,z * u)). K(x,y \ z) = K(x,x \ ((x \ y) \ z)). K(x,x \ ((x \ y) \ z)) = K(x,y \ z). K(x,y \ z) = K(x,x \ ((x / y) * z)). K(x,x \ ((x / y) * z)) = K(x,y \ z). K(x,x \ (y * y)) != z | x * (1 / L(x,y,y)) = z. x * (1 / L(x,y,y)) = K(x,y * (y / x)). K(x,x \ (y \ z)) = K(x,(x * y) \ z). K(x,(x * y) \ z) = K(x,x \ (y \ z)). K(x,x \ (y * (x / z))) = K(x,z \ T(y,x / z)). K(x,y \ T(z,x / y)) = K(x,x \ (z * (x / y))). K(x,y \ (x \ z)) = K(x,x \ (y \ z)). K(x,T(y \ (T(x,z) \ u),z)) = K(T(x,z),T(x,z) \ (y \ u)). K(T(x,y),T(x,y) \ (z \ u)) = K(x,T(z \ (T(x,y) \ u),y)). K(x,y \ (x \ (y * z))) = K(x,x \ z). x != K(y,y \ (z * y)) | K(y,z) = x. K(x,y) = K(x,z \ (x \ (z * (y * x)))). K(x,y \ (x \ (y * (z * x)))) = K(x,z). (x * y) * K(z,z \ y) = x * (z * (y / z)). K(x,L(y,x,z)) = K(x,y). x \ y != K(z,L(u,z,w)) | x * K(z,u) = y. x * K(x,y) = T(x,L(y,x,z)). T(x,L(y,x,z)) = x * K(x,y). K(L(x,y,z),(z * (y * x)) \ ((z * y) * u)) = K(L(x,y,z),L(x,y,z) \ u). K(x,(x \ y) / z) = K(x,x \ (y / z)). L(K(x,y),z * x,u) = K(L(x,z,u),L(y,x,w)). K(L(x,y,z),L(u,x,w)) = L(K(x,u),y * x,z). (x * (y * z)) * K(z,y) = x * (z * y). T(x,y) = T(x,L(y,x,z)). T(x,L(y,x,z)) = T(x,y). T(x,L(y,x,z)) != u | T(x,y) = u. x \ y != T(z,L(u,z,w)) | x * T(z,u) = y. L(x,y,z) * T(y,x) = y * L(x,y,z). (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)). K(x,(x \ y) / z) != u | K(x,y / (z * x)) = u. K(x,y / (z * x)) = K(x,x \ (y / z)). K(x,y / z) = K(x,x \ ((x * y) / z)). K(x,x \ ((x * y) / z)) = K(x,y / z). (x * (y * z)) * K(y,z) = x * (z * y). ((x * T(y,x)) * L(x,y,z)) \ (x * (y * L(x,y,z))) = K(L(x,y,z),x * T(y,x)). K(x,y / (((x \ z) * u) * x)) != w | K(x,y / (z * u)) = w. K(x,y / (z * u)) = K(x,x \ (y / ((x \ z) * u))). K(x,x \ (y / ((x \ z) * u))) = K(x,y / (z * u)). K(x,y / (x * z)) = K(x,x \ (y / z)). ((x * y) * (z * (x * y))) * K(x,y) = ((1 / (x * y)) \ z) * (y * x). ((x * y) * z) * K(y,z) = R(x,y,z) * (z * y). T(T(x,K(y,z * u)),y * (z * (u / y))) = T(x,(z * (u / y)) * y). x * K(y,y \ z) = (x / z) * (y * (z / y)). (x / y) * (z * (y / z)) = x * K(z,z \ y). x != L(K(y,z),u * y,w) | K(L(y,u,w),z) = x. K(L(x,y,z),u) = K(L(x,y,z),L(u,x,w)). K(L(x,y,z),L(u,x,w)) = K(L(x,y,z),u). K(x,L(y \ z,y,u)) != w | K(x,(u * y) \ (u * z)) = w. K(L(x,y,z),(u * x) \ (u * w)) = K(L(x,y,z),x \ w). L(x,T(y,x),z) = L(x,y,z). L(x,K(y,T(z,x)),u) = L(x,K(y,z),u). T(1 / x,y * (x * y)) = L(x,y,y) \ 1. (L(x,y,y) \ 1) * x = K(y * (x * y),x \ 1). K(x * (y * x),y \ 1) = (L(y,x,x) \ 1) * y. (x * y) * T(z,y) = R(x,y,z) * (z * y). R(x,y,z) * (z * y) = (x * y) * T(z,y). x * (y * z) != (u * z) * T(y,z) | R(u,z,T(y,z)) = x. R(x,y,T(z,y)) = R(x,y,z). R(x,y / z,z) = R(x,z \ y,z). R(x,y,T(z,y)) != u | R(x,T(y,z),z) = u. R(x,T(y,z),z) = R(x,y,z). R(x,y \ z,T(y,y \ z)) != u | ((x * (z / y)) * y) / z = u. ((x * (y / z)) * z) / y = R(x,z \ y,z). R(x,y,T(T(z,y),u)) = R(x,y,T(z,u)). R(x,y,y \ z) = R(x,y,z / y). R(x,y,z / y) = R(x,y,y \ z). R(x,y,T(y \ z,u)) = R(x,y,T(z / y,u)). R(x,y,T(z / y,u)) = R(x,y,T(y \ z,u)). R(x,y,K(y,z) * (u / y)) = R(x,y,T(y,z) \ u). R(x,(y * z) \ z,z) = R(x,y \ 1,z). R(K(x,(y / (z / u)) \ x),z / u,u) != w | K(x,z / ((x \ y) * u)) = w. K(x,y / ((x \ z) * u)) = R(K(x,(z / (y / u)) \ x),u \ y,u). R(K(x,(y / (z / u)) \ x),u \ z,u) = K(x,z / ((x \ y) * u)). K(x,y / (z * u)) = R(K(x,(y / u) / z),u \ y,u). R(K(x,(y / z) / u),z \ y,z) = K(x,y / (u * z)). x != (L(y,z,u) \ 1) * y | y * (1 / L(y,z,u)) = x. x * (1 / L(x,y,y)) = K(y * (x * y),x \ 1). K(x * (y * x),y \ 1) = y * (1 / L(y,x,x)). x != y * (1 / L(y,z,z)) | K(y,z * (z / y)) = x. K(x,y * (y / x)) = K(y * (x * y),x \ 1). K(x * (y * x),y \ 1) = K(y,x * (x / y)). K(x * (y * x),z \ 1) != u | K(z,z * ((x * y) * x)) = u. K(x,x * ((y * x) * y)) = K(x,y * (y / x)). K(x * (y \ z),y) = K(y \ (x * z),y). K(x \ (y * z),x) = K(y * (x \ z),x). K(x \ y,x) = K(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). K(x,y \ T(z,x / u)) != w | K(x,y \ T(z,u \ x)) = w. K(x,y \ T(z,y \ x)) = K(x,x \ (z * (x / y))). K(x,x \ ((x * y) / z)) != u | K(x,y / z) = u. K(x,y / ((x \ z) * u)) = K(x,(x * y) / (z * u)). K(x,(x * y) / (z * u)) = K(x,y / ((x \ z) * u)). (x \ (y * z)) * K(z,y) = x \ (z * y). K(x,y) * z != u \ (x * y) | T(u \ (y * x),K(x,y)) = z. T(x \ (y * z),K(z,y)) = K(y,z) * (x \ (z * y)). (x * y) * K(y,z * x) = R(z,x,y) \ (y * (z * x)). R(x,y,z) \ (z * (x * y)) = (y * z) * K(z,x * y). K(x,((y * z) / u) \ x) = K(x,u / ((x \ y) * z)). K(x,y / ((x \ z) * u)) = K(x,((z * u) / y) \ x). T(T(x \ (y * z),K(z,y)),K(z,y)) = a(z,y,z) \ (x \ T(z * y,z)). R(K(x,((y * z) / (u / w)) \ x),w \ u,w) = K(x,u / ((y * (x \ z)) * w)). x * T(y,z * x) = R(z,x,y) \ (y * (z * x)). R(x,y,z) \ (z * (x * y)) = y * T(z,x * y). (x * (y * z)) / (z * T(x,y * z)) = R(y,z,x). R(x,y,z) = (z * (x * y)) / (y * T(z,x * y)). K(L(x,y,z),u \ (x \ (u * w))) = K(L(x,y,z),x \ w). K(T(x,y),T(x,z) \ u) != w | K(x,T(x \ u,y)) = w. K(x,T(x \ (y \ z),u)) = K(x,T(y \ (T(x,u) \ z),u)). K(x,T(y \ (T(x,z) \ u),z)) = K(x,T(x \ (y \ u),z)). x \ (y * z) = a(z,y,z) \ (x \ T(z * y,z)). a(x,y,x) \ (z \ T(x * y,x)) = z \ (y * x). K(L(x,y,z),(z * y) \ (x \ ((z * y) * u))) = K(L(x,y,z),L(x,y,z) \ u). R(K(x,(y / (z / u)) \ x),u \ z,u) != w | K(x,z / ((x \ y) * u)) = w. K(x,y / ((x \ (z * u)) * w)) = K(x,y / ((z * (x \ u)) * w)). K(x,y / ((x \ z) * u)) != w | K(x,((z * u) / y) \ x) = w. K(x,(((y * z) * u) / w) \ x) = K(x,w / ((y * (x \ z)) * u)). K(x,y / ((z * (x \ u)) * w)) = K(x,(((z * u) * w) / y) \ x). K(x,(y * z) / ((u * (x \ y)) * z)) != w | R(K(x,u \ x),y,z) = w. R(K(x,y \ x),z,u) = K(x,(((y * z) * u) / (z * u)) \ x). K(x,(((y * z) * u) / (z * u)) \ x) = R(K(x,y \ x),z,u). K(x,R(y,z,u) \ x) = R(K(x,y \ x),z,u). R(K(x,y \ x),z,u) = K(x,R(y,z,u) \ x). R(K(x,y),z,u) = K(x,R(y \ x,z,u) \ x). K(x,R(y \ x,z,u) \ x) = R(K(x,y),z,u). K(L(x,y,z),u \ (x \ (u * w))) != v5 | K(L(x,y,z),x \ w) = v5. K(L(x,y,z),x \ u) = K(L(x,y,z),L(x,y,z) \ u). K(L(x,y,z),L(x,y,z) \ u) = K(L(x,y,z),x \ u). x != K(L(y,z,u),w) | L(y,z,u) \ L(T(y,w),z,u) = x. L(x,y,z) \ L(T(x,x \ u),y,z) = K(L(x,y,z),L(x,y,z) \ u). T(L(x,y,z),L(x,y,z) \ u) = L(T(x,x \ u),y,z). T(x,L(x,y,z) \ u) = T(x,x \ u). L(T(x,x \ y),z,u) * y = y / (1 / L(x,z,u)). (x \ y) \ y = T(x,L(x,z,u) \ y). T(x,L(x,y,z) \ u) = (x \ u) \ u. x != (y \ (z * y)) \ (z * y) | T(y,z) = x. T(x,y) = T(x,L(x,z,u) \ (y * x)). T(x,L(x,y,z) \ (u * x)) = T(x,u). L((x \ y) \ y,z,u) = (L(x,z,u) \ y) \ y. L(x / (x / y),z,u) = (L(y,z,u) \ x) \ x. ((L(x,y,z) \ 1) \ 1) \ 1 = a(1 / x,z,y) \ (1 / x). a(1 / x,y,z) \ (1 / x) = ((L(x,z,y) \ 1) \ 1) \ 1. a(1 / x,y,z) \ (1 / x) != u | 1 / L(x,z,y) = u. ((x * y) * L(y,x,z)) \ (y * (x * L(y,x,z))) = K(L(y,x,z),y * T(x,y)). K(x,y * L(x,y,z)) = K(L(x,y,z),x * T(y,x)). K(L(x,y,z),x * T(y,x)) = K(x,y * L(x,y,z)). K(L(x,y,z),y * x) = K(x,y * L(x,y,z)). K(x,x * y) = K(x,y * L(x,y,z)). K(x,y * L(x,y,z)) = K(x,x * y). L(K(x,x * y),z * x,u) = K(L(x,z,u),y * L(x,y,w)). K(L(x,y,z),x * u) = K(L(x,y,z),u * L(x,u,w)). K(L(x,y,z),u * L(x,u,w)) = K(L(x,y,z),x * u). L(K(L(x,y,z),x * y),y,z) = K(x,x * y). L(K(x,x * y),y,z) = K(x,x * y). L(K(x,x * (y \ z)),y \ z,y) != u | K(x,y \ (z * x)) = u. K(x,y \ (z * x)) = K(x,x * (y \ z)). 1 / L(K(x,x * y),y,z) = K(x * y,x). T(x,y \ ((y * z) * x)) = x * K(x,x * z). K(x,y \ (z * x)) != u | K(x,y \ (x * z)) = u. K(x,y \ (x * z)) = K(x,x * (y \ z)). K(x,y * (L(y,z,u) \ x)) = K(x,x * (L(y,z,u) \ y)). K(x,(y \ x) \ (x * z)) != 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,x * (y \ z)) = K(x,(x / y) * z). K(x,(x / y) * z) = K(x,x * (y \ z)). L(K(x * y,x),y,z) = K(x * y,x). L(K(x * (y \ z),x),y \ z,y) != u | K(y \ (z * x),x) = u. K(x \ (y * z),z) = K(z * (x \ y),z). K(x \ (y * z),z) != u | K((y \ x) \ z,z) = u. K((x \ y) \ z,z) = K(z * (y \ x),z). K((x * y) \ (z * y),y) != u | K(x \ z,y) = u. K(x \ y,z) = K(z * ((x * z) \ y),z). K(x * ((y * x) \ z),x) = K(y \ z,x). K(x \ y,z) = K(z * (x \ (z \ y)),z). K(x * (y \ (x \ z)),x) = K(y \ z,x). T(x,x * y) = T(x,z \ ((z * y) * x)). T(x,y \ ((y * z) * x)) = T(x,x * z). T(x,L(x,y,z) \ (u * x)) != w | T(x,u) = w. 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). T(x,y) = T(x,x * (L(x,z,u) \ y)). T(x,x * (L(x,y,z) \ u)) = T(x,u). K(x * (L(x,y,z) \ u),x) = x / T(x,u). K(x,x * y) = K(x,L(x,z,u) * y). K(x,L(x,y,z) * u) = K(x,x * u). K(x,y * L(x,z,u)) = K(x,x * y). K(x,x * y) * (K(y,x) * L(x,z,u)) = L(L(x,y,x),z,u). K(x,y) = K(y * (L(y,z,u) \ x),y). K(x * (L(x,y,z) \ u),x) = K(u,x). K(x * (y \ (x \ z)),x) != u | K(y \ z,x) = u. K(L(x,y,z) \ u,x) = K(x \ u,x). K(x * y,x) = K(L(x,z,u) * y,x). K(L(x,y,z) * u,x) = K(x * u,x). K(L(x,y,z) \ u,x) != w | K(u / L(x,y,z),x) = w. K(x / L(y,z,u),y) = K(y \ x,y). K(L(x,y,z) * (u \ 1),x) != w | K(u \ L(x,y,z),x) = w. K(x \ L(y,z,u),y) = K(y * (x \ 1),y). K(L(x,y,z) * u,x) != w | K(u * L(x,y,z),x) = w. K(x * L(y,z,u),y) = K(y * x,y). x != K(y * z,y) | K(z,y) * a(y,z,y) = x. K(x,y) * a(y,x,y) = K(x * L(y,z,u),y). K(x * L(y,z,u),y) = K(x,y) * a(y,x,y). x != K(y * (z \ 1),y) | K(z \ y,y) = x. K(x \ y,y) = K(x \ L(y,z,u),y). K(x \ L(y,z,u),y) = K(x \ y,y). K((x \ y) \ L(z,u,w),z) != v5 | K(y \ (x * L(z,u,w)),z) = v5. K(x \ (y * L(z,u,w)),z) = K((y \ x) \ z,z). (L(x,y,z) * K((u \ x) \ x,x)) * u = (x \ (L(x,y,z) * u)) * x. a(x,y,L(x,z,u)) = a(x,y,x). x != a(y,z,y) | R(y,z,y) / y = x. R(x,y,x) / x = a(x,y,L(x,z,u)). a(x,y,L(x,z,u)) = R(x,y,x) / x. a(x,y,L(x,z,u)) != w | L(x,y,L(x,z,u)) \ x = w. L(x,y,L(x,z,u)) \ x = a(x,y,x). R(x,y,L(x,z,u)) = R(x,y,x). (x * (y * R(z,u,z))) / (x * (y * z)) = a(L(z,y,x),u,L(z,y,x)). x \ y != a(y,z,y) | L(y,z,y) = x. L(x,y,x) = L(x,y,L(x,z,u)). L(x,y,L(x,z,u)) = L(x,y,x). L(L(x,y,x),z,u) = L(L(x,z,u),y,L(x,w,v5)). L(L(x,y,z),u,L(x,w,v5)) = L(L(x,u,x),y,z). L(L(x,y,x),z,u) \ L(x,z,u) = a(L(x,z,u),y,L(x,z,u)). x != K((y \ z) \ u,u) | K(u * (z \ y),u) = x. K(x * (y \ z),x) = K(y \ (z * L(x,u,w)),x). K(x \ (y * L(z,u,w)),z) = K(z * (x \ y),z). K(x \ (y * (z * u)),u) = K(u * (x \ (y * z)),u). K((x * y) \ z,y) != u | K(x \ (y \ z),y) = u. K(x \ (y \ (z * (u * y))),y) = K(y * ((x * y) \ (z * u)),y). K(x,x * y) * (K(y,x) * z) != u | a(x,y,x) \ z = u. a(x,y,x) \ L(x,z,u) = L(L(x,y,x),z,u). L(L(x,y,x),z,u) \ L(x,z,u) = a(x,y,x). L(L(x,y,x),z,u) \ L(x,z,u) != w | a(x,y,x) = w. a(x,y,x) = a(L(x,z,u),y,L(x,z,u)). a(L(x,y,z),u,L(x,y,z)) = a(x,u,x). x != K(y * ((z * y) \ u),y) | K(z \ u,y) = x. K(x \ (y * z),u) = K(x \ (u \ (y * (z * u))),u). K(x \ (y \ (z * (u * y))),y) = K(x \ (z * u),y). K((x * y) \ (z \ (x * ((y * u) * z))),z) != w | K(L(u,z * y,x),z) = w. K(L(x,y * z,u),y) = K((u * z) \ (u * (z * x)),y). K(L(x,y * z,u),y) = K(L(x,z,u),y). K(L(x,y * (x \ z),u),y) != w | K(x,L(y,z,u)) = w. K(x,L(y,z,u)) = K(L(x,x \ z,u),y). K(L(x,x \ y,z),u) = K(x,L(u,y,z)). L(K(x,y),z,u) = K(x,L(y,z,u)). K(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). 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) != v5 | K(x,L(z \ y,u,w) \ 1) = v5. K(x,L(y \ z,u,w) \ 1) = K(x,L(z \ y,u,w)). 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),z \ y,u) != w | K(x,y / z) = w. K(x,y / z) = K(x,L(y / z,z \ y,u)). K(x,L(y / z,z \ y,u)) = K(x,y / z). x \ y != L(K(z,u),w,v5) | x * K(z,L(u,w,v5)) = y. (x * y) * K(z,L(u,y,x)) = x * (y * K(z,u)). L(K(x,T(y,z)),u,w) = K(x,T(L(y,u,w),z)). 1 / L(K(x,y),z,u) = K(L(y,z,u),x). L(K(x,y / z),u,w) = K(x,L(y * (z \ 1),u,w)). K(x,L(y * (z \ 1),u,w)) = L(K(x,y / z),u,w). L(K(x,y \ z),u,w) = K(x,L((y \ 1) * z,u,w)). K(x,L((y \ 1) * z,u,w)) = L(K(x,y \ z),u,w). K(x,y) * K(y,L(x,z,u)) = a(u,z,K(x,y)). K(x,L(y,z,u)) * K(y,x) = a(u,z,K(y,x)). K(x,L(y,z,u)) = K(y,L(x,z * y,u)). K(x,L(y,z * x,u)) = K(y,L(x,z,u)). x * (y * K(x * y,z)) = T(x * y,L(z,y,x)). T(x,L(y,z,u)) * K(y,x) = x * a(u,z,K(y,x)). L(K(x,y),z,u) = K(L(x,z,u),y). L(K(x,y),z,u) != w | K(x,L(y,z,u)) = w. K(x,L(y,z,u)) = K(L(x,z,u),y). K(L(x,y,z),u) = K(x,L(u,y,z)). K(x,y) * K(L(y,z,u),x) = a(u,z,K(x,y)). K(L(x,y,z),u) * K(u,x) = a(z,y,K(u,x)). K(x,L(y,z,u)) * (K(y,L(x,z,u)) * w) = w. (x \ (x \ y)) * K(z,1 / x) = y * ((x \ 1) * T(1 / x,z)). L(K(x,y),z,T(x,u)) != w | K(x,y) = w. K(x,T(y,z)) = K(x,T(L(y,u,T(x,w)),z)). K(x,T(L(y,z,T(x,u)),w)) = K(x,T(y,w)). K(x,T((T(x,y) * z) \ u,w)) = K(x,T(z \ (T(x,y) \ u),w)). K(x,y) * K(y,L(x,z,u)) != w | a(u,x * z,K(x,y)) = w. a(x,y * z,K(y,u)) = a(x,z,K(y,u)). a(x,y,K(z,u)) = a(x,z \ y,K(z,u)). a(x,y \ z,K(y,u)) = a(x,z,K(y,u)). a(x,y,K(z,u)) != w | K(z,u) * K(u,L(z,y,x)) = w. 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)). a(x,y,K(z,u)) = a(x,y / u,K(z,u)). a(x,y / z,K(u,z)) = a(x,y,K(u,z)). x / T(x / y,L(y,z,u)) = y * a(u,z,K(y \ x,y)). x * (y * K(z,u)) != (x * y) * w | K(z,L(u,y,x)) = w. (x * y) * z != x * (y * K(u,w)) | K(u,L(w,y,x)) = z. T(x * y,z) = T(x * y,L(z,y,x)). T(x * y,L(z,y,x)) = T(x * y,z). (x * (y * z)) / T(x * y,z) = L(z,y,x). L(x,y,z) = (z * (y * x)) / T(z * y,x). L(x,y,z) * T(z * y,x) = z * (y * x). L(x,y,a(y,z,u)) = (a(y,z,u) * (y * x)) / T(y * a(y,z,u),x). (a(x,y,z) * (x * u)) / T(x * a(x,y,z),u) = L(u,x,a(x,y,z)). L(x,K(y,T(z,x)),u) = (u * (x * K(y,z))) / T(u * K(y,T(z,x)),x). (x * (y * K(z,u))) / T(x * K(z,T(u,y)),y) = L(y,K(z,T(u,y)),x). (x * (y * z)) / T(x * y,z) != u | L(z,y,x) = u. x != L(K(y,z),u,w) | K(y,L(z,u,w)) = x. K(x,L(y / z,u,w)) = K(x,L(y * (z \ 1),u,w)). K(x,L(y * (z \ 1),u,w)) = K(x,L(y / z,u,w)). K(x,L(y \ z,u,w)) = K(x,L((y \ 1) * z,u,w)). K(x,L((y \ 1) * z,u,w)) = K(x,L(y \ z,u,w)). T(x,L(y,z,u)) * K(y,x) != w | T(x * K(y,x),L(y,z,u)) = w. T(x * K(y,x),L(y,z,u)) = x * a(u,z,K(y,x)). K(x,L(y * (1 / z),u,w)) = K(T(x,z),L(z \ y,u,w)). K(T(x,y),L(y \ z,u,w)) = K(x,L(z * (1 / y),u,w)). T(x * a(y,z,K(u,x)),u) = T(x,L(u,z,y)). L(x,y,z) \ ((u / x) \ (L(x,y,z) * (x \ u))) = x \ (x * a(z,y,K(x \ u,x))). K(x,L(T(y \ z,y),u,w)) = K(x,L(z * (1 / y),u,w)). K(x,L(T(y \ z,y),u,w)) != v5 | K(x,L(z / y,u,w)) = v5. K(x,L(y / z,u,w)) = K(x,L(y * (1 / z),u,w)). K(x,L(y * (1 / z),u,w)) = K(x,L(y / z,u,w)). K(x,L(y * z,u,w)) = K(x,L(y / (z \ 1),u,w)). K(x,L(y / (z \ 1),u,w)) = K(x,L(y * z,u,w)). (x \ (x \ y)) * K(z,x \ 1) = y * ((x \ 1) * T(1 / x,z)). x != K(y,T(z \ (T(y,u) \ w),u)) | K(y,T(y \ (z \ w),u)) = x. K(x,T(x \ (y \ z),u)) = K(x,T((T(x,u) * y) \ z,u)). K(x,T((T(x,y) * z) \ u,y)) = K(x,T(x \ (z \ u),y)). K(x,T((T(x,y) * y) \ z,y)) != u | K(x,z / (x * ((x * y) / x))) = u. K(x,y / (x * ((x * z) / x))) = K(x,T(x \ (z \ y),z)). K(x,T(x \ (y \ z),y)) = K(x,z / (x * ((x * y) / x))). x != K(y,z / (y * (u / y))) | K(y,z / u) = x. K(x,y / (x * z)) = K(x,T(x \ (z \ y),z)). K(x,T(x \ (y \ z),y)) = K(x,z / (x * y)). x != K(y,z / (y * u)) | K(y,y \ (z / u)) = x. K(x,x \ (y / z)) = K(x,T(x \ (z \ y),z)). K(x,T(x \ (y \ z),y)) = K(x,x \ (z / y)). K(x,T(x \ y,z)) = K(x,x \ ((z * y) / z)). K(x,x \ ((y * z) / y)) = K(x,T(x \ z,y)). K(x,x \ T(y,z)) = K(x,T(x \ y,z)). K(x,T(x \ y,z)) = K(x,x \ T(y,z)). x \ y != K(z,z \ T(u,w)) | x * K(z,T(z \ u,w)) = y. x * K(x,T(x \ y,z)) = T(x,x \ T(y,z)). T(x,T(x \ y,z)) = T(x,x \ T(y,z)). x != T(y,(z \ 1) \ T(T(u,z),w)) | T(y,T(u,w) * z) = x. T(x \ 1,T(y,z) * x) = T(x \ 1,T((x \ 1) \ T(y,x),z)). T(x \ 1,T((x \ 1) \ T(y,x),z)) = T(x \ 1,T(y,z) * x). (x / y) * T(y \ 1,z) = x * ((y \ 1) * T(1 / y,z)). x * ((y \ 1) * T(1 / y,z)) = (x / y) * T(y \ 1,z). x * (y \ T(y \ 1,z)) = (x / y) * T(y \ 1,z). (x / y) * T(y \ 1,z) = x * (y \ T(y \ 1,z)). (x / y) * (T(y,z) \ 1) = x * (y \ T(y \ 1,z / y)). x * (y \ T(y \ 1,z / y)) = (x / y) * (T(y,z) \ 1). (x / y) * (1 / T(y,z)) = x * (y \ T(y \ 1,y * z)). x * (y \ T(y \ 1,y * z)) = (x / y) * (1 / T(y,z)). x * (y \ (T(y,z) \ 1)) = (x / y) * (T(y,z) \ 1). (x / y) * (T(y,z) \ 1) = x * (y \ (T(y,z) \ 1)). (x \ ((T(x,y) \ 1) * (z * x))) / x = (1 * (x \ (T(x,y) \ 1))) * z. x * (y \ (1 / T(y,z))) = (x / y) * (1 / T(y,z)). (x / y) * (1 / T(y,z)) = x * (y \ (1 / T(y,z))). (x / T(y,z)) * (1 / y) = x * (T(y,z) \ (1 / T(T(y,z),z))). x * (T(y,z) \ (1 / T(T(y,z),z))) = (x / T(y,z)) * (1 / y). T(x,T((y \ 1) \ z,u)) != w | T(x,T(y * z,u)) = w. T(x \ 1,T(x * T(y,x),z)) = T(x \ 1,T(y,z) * x). T(x \ 1,T(y * x,z)) = T(x \ 1,T(y,z) * x). x * (T(y,z) \ (1 / y)) = (x / T(y,z)) * (1 / y). (x / T(y,z)) * (1 / y) = x * (T(y,z) \ (1 / y)). (x / T(y,z)) * (1 / y) = x * (y \ (1 / T(y,z))). x * (1 / y) != z | L(x,y,y) / y = z. L(x / T(y,z),y,y) / y = x * (y \ (1 / T(y,z))). (x * (T(y,z) \ 1)) / y = x * (y \ (1 / T(y,z))). (x \ y) / x = y * (x \ (1 / T(x,y))). x * (y \ (1 / T(y,x))) = (y \ x) / y. (L(x,y,z) * K(u,x)) * u = (x \ (L(x,y,z) * u)) * x. (x \ (L(x,y,z) * u)) * x = (L(x,y,z) * K(u,x)) * u. x != (y * K(z,u)) * z | y * T(z,u) = x. L(x,y,z) * T(u,x) = (x \ (L(x,y,z) * u)) * x. (x \ (L(x,y,z) * u)) * x = L(x,y,z) * T(u,x). (L(x,y,z) * (x \ u)) * x = L(x,y,z) * T(u,x). (L(x,y,z) * T(u,x)) / x = L(x,y,z) * (x \ u). x * y != L(y,z,u) * T(w,y) | a(y \ 1,u,z) * w = x. a(x \ 1,y,z) * u = L(x,z,y) * (x \ u). L(x,y,z) * (x \ u) = a(x \ 1,z,y) * u. x * y != L(y,z,u) * T(w,y) | (y \ L(y,z,u)) * w = x. (x \ L(x,y,z)) * u = L(x,y,z) * (x \ u). (x / y) \ (L(y,z,u) * (y \ x)) = x \ (L(y,z,u) * T(x,y)). a(x \ 1,y,z) \ (L(x,z,y) * u) = x * u. a(x \ 1,y,z) \ u = x * (L(x,z,y) \ u). L(x,y,z) * u = a(x \ 1,z,y) * (x * u). a(x \ 1,y,z) * (x * u) = L(x,z,y) * u. x \ y != L(z,u,w) * (z \ v5) | x * (a(z \ 1,w,u) * v5) = y. x * (a(x \ 1,y,z) * u) = L(x,z,y) * u. L(1 / x,y,z) * T(u,x) = a((1 / x) \ 1,z,y) * (u / x). a((1 / x) \ 1,y,z) * (u / x) = L(1 / x,z,y) * T(u,x). (x \ L(x,y,z)) \ u = x * (L(x,y,z) \ u). T(L(x,y,z) \ x,L(x,y,z) * (x \ u)) = 1 / T(x \ L(x,y,z),u). x \ (y * (z * x)) != u | ((y / T(x,y)) * z) * x = u. ((L(x,y,z) / T(a(x \ 1,z,y),L(x,y,z))) * u) * a(x \ 1,z,y) = x * (u * a(x \ 1,z,y)). x * y != a(z \ 1,u,w) \ (L(z,w,u) * v5) | (z * v5) / y = x. (x * y) / (a(x \ 1,z,u) \ 1) = T(L(x,u,z) * y,a(x \ 1,z,u)). T(L(x,y,z) * u,a(x \ 1,z,y)) = (x * u) / (a(x \ 1,z,y) \ 1). x != y * (L(y,z,u) \ (y \ w)) | L(y,z,u) \ w = x. L(x,y,z) \ u = a(x \ 1,z,y) \ (x \ u). a(x \ 1,y,z) \ (x \ u) = L(x,z,y) \ u. x \ y != z * (a(z \ 1,u,w) * v5) | x * (L(z,w,u) * v5) = y. K(x,y) * (L(x,z,u) * w) = T(x,y) * (a(x \ 1,u,z) * w). T(x,y) * (a(x \ 1,z,u) * w) = K(x,y) * (L(x,u,z) * w). L(x,y,z) \ u = (x \ L(x,y,z)) \ (x \ u). (x \ L(x,y,z)) \ (x \ u) = L(x,y,z) \ u. (x * T(y,z)) / z != u | (x * y) / T(z,y) = u. (L(x,y,z) * u) / T(x,u) = L(x,y,z) * (x \ u). (L(x,y,z) * u) / x = L(x,y,z) * (x \ T(u,x)). L(x,y,z) * (x \ T(u,x)) = (L(x,y,z) * u) / x. x != y \ (z * T(y,u)) | T(z * K(y,u),y) = x. T(L(x,y,z) * K(u,x),u) = (u / x) \ (L(x,y,z) * (x \ u)). (x / y) \ (L(y,z,u) * (y \ x)) = T(L(y,z,u) * K(x,y),x). a(x,y,z) * (u / x) = L(1 / x,z,y) * T(u,x). L(1 / x,y,z) * T(u,x) = a(x,z,y) * (u / x). L(1 / x,y,z) * T(u,x) != w | (a(x,z,y) * u) / x = w. (a(x,y,z) * u) / x = a(x,y,z) * (u / x). (x * (y * R(z,u,z))) / (x * (y * z)) != w | L(a(z,u,z),y * z,x) = w. L(a(x,y,x),z * x,u) = a(L(x,z,u),y,L(x,z,u)). L(a(x,y,x),z,u) = a(L(x,z / x,u),y,L(x,z / x,u)). a(L(x,y / x,z),u,L(x,y / x,z)) = L(a(x,u,x),y,z). a(L(x,y,z),u,L(x,y,z)) != w | a(x,u,x) = w. a(x,y,x) = L(a(x,y,x),z,u). L(a(x,y,x),z,u) = a(x,y,x). a(x,y,a(z,u,z)) = 1. x \ y != L(a(z,u,z),w,v5) | x * a(z,u,z) = y. (x * y) * a(z,u,z) = x * (y * a(z,u,z)). x \ (y * a(z,u,z)) = (x \ y) * a(z,u,z). (x * y) / a(z,u,z) = x * (a(z,u,z) \ y). x != 1 | y \ y = x. x \ x = a(y,z,a(u,w,u)). a(x,y,a(z,u,z)) = w \ w. a(x,y,a(z,z,u)) = 1. a(x,y,a(z,u,u)) = 1. L(a(x,x,y),z,u) = a(x,x,y). L(a(x,y,y),z,u) = a(x,y,y). x = L(x,a(y,z,y),u). L(x,a(y,z,y),u) = x. x * (a(y,z,y) * u) = (x * a(y,z,y)) * u. (x * a(y,z,y)) * u = x * (a(y,z,y) * u). a(x,y,x) \ (z \ u) = (z * a(x,y,x)) \ u. (x * a(y,z,y)) \ u = a(y,z,y) \ (x \ u). L(x,a(y,y,z),u) = x. L(x,a(y,z,z),u) = x. x * (a(y,y,z) * u) = (x * a(y,y,z)) * u. (x * a(y,y,z)) * u = x * (a(y,y,z) * u). x * (a(y,z,z) * u) = (x * a(y,z,z)) * u. (x * a(y,z,z)) * u = x * (a(y,z,z) * u). a(x,y,y) = a(y,y,K(z,u) * x). a(x,x,K(y,z) * u) = a(u,x,x). x \ y != L(a(z,z,u),w,v5) | x * a(z,z,u) = y. (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) | x * a(z,u,u) = y. (x * y) * a(z,u,u) = x * (y * a(z,u,u)). x \ (y * a(z,u,u)) = (x \ y) * a(z,u,u). a(x,T(x,y),z) = a(z,x,x). a(x,x,y * T(z,u)) = a(y * z,x,x). x \ y != a(z,T(z,u),w) | x * a(w,z,z) = y. x * a(y,x \ 1,x \ 1) = L(x,y,T(x \ 1,z)). L(x,y,T(x \ 1,z)) = x * a(y,x \ 1,x \ 1). x != a(y,z,z) | a(z,z,y) = x. a(x,x,y * z) = a(x,x,y * T(z,u)). a(x,x,y * T(z,u)) = a(x,x,y * z). a(x,x,y * z) = a(x,x,z * y). a(x,x,y) = a(x,x,(z \ y) * z). a(x,x,(y \ z) * y) = a(x,x,z). a(x,y,x) * (z * u) = z * (u * a(x,y,x)). R(x,y,a(z,u,z)) = x. (x * y) * a(z,u,z) = x * (a(z,u,z) * y). R(R(x,y,z),y * z,u) != w | (((x * y) * z) * u) / ((y * z) * u) = w. (((x * y) * z) * a(u,w,u)) / ((y * z) * a(u,w,u)) = R(x,y,z). x != y * a(z,u,z) | a(z,u,z) * y = x. a(x,y,x) * (z \ u) = z \ (u * a(x,y,x)). x \ (y * a(z,u,z)) = a(z,u,z) * (x \ y). a(x,y,x) \ (z * u) = z * (a(x,y,x) \ u). (a(x,y,x) * z) / u = a(x,y,x) * (z / u). (x * (a(y,y,z) * (x * a(y,y,z)))) \ (u * (x * a(y,y,z))) = u / (x * a(y,y,z)). (a(x,y,y) * z) * u = z * (a(x,y,y) * u). a(x,x,y) * (z * u) = z * (u * a(x,x,y)). x \ L(y,z,z) = (x \ y) * a(z,z,y). (x \ y) * a(z,z,y) = x \ L(y,z,z). x \ (y * (z * a(u,u,w))) = (x \ (y * z)) * a(u,u,w). (x * (y * a(z,u,u))) * w = (x * y) * (a(z,u,u) * w). x \ (a(y,z,z) * u) = (x \ u) * a(y,z,z). L(x * a(y,z,y),u,w) = (w * u) \ (w * (a(y,z,y) * (u * x))). (x * y) \ (x * (a(z,u,z) * (y * w))) = L(w * a(z,u,z),y,x). a(x,y,x) * (z * u) = z * (a(x,y,x) * u). x \ (a(y,z,y) * u) = a(y,z,y) * (x \ u). x \ (y * (a(z,u,z) * w)) = a(z,u,z) * (x \ (y * w)). a(x,y,x) \ z = K(u,z) * (a(x,y,x) \ T(z,u)). K(x,y) * (a(z,u,z) \ T(y,x)) = a(z,u,z) \ y. L(x,y,a(z,u,u) * w) = (w * (a(z,u,u) * y)) \ ((a(z,u,u) * w) * (y * x)). (x * (a(y,z,z) * u)) \ ((a(y,z,z) * x) * (u * w)) = L(w,u,a(y,z,z) * x). x != y * (z * a(u,u,w)) | y * (a(u,u,w) * z) = x. 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 != T(y,z \ 1) * z | (1 / z) \ y = x. (1 / (x * a(y,y,z))) \ u = a(y,y,z) * (T(u,(x * a(y,y,z)) \ 1) * x). a(x,x,y) * (T(z,(u * a(x,x,y)) \ 1) * u) = (1 / (u * a(x,x,y))) \ z. a(x,x,y) * (z * y) = z * L(y,x,x). a(x,x,y) * (z * x) = z * L(x,y,x). a(x,x,y) * (y \ ((y * z) * u)) = (L(z,y,y) * (u / y)) * L(y,x,x). (L(x,y,y) * (z / y)) * L(y,u,u) = a(u,u,y) * (y \ ((y * x) * z)). x != y * (a(z,u,z) * w) | (y * a(z,u,z)) * w = x. (x * a(y,z,y)) * u = a(y,z,y) * (x * u). x != y * (a(z,z,u) * w) | (y * a(z,z,u)) * w = x. (x * a(y,y,z)) * u = a(y,y,z) * (x * u). a(x,x,y) * (z * (u * y)) = z * (u * L(y,x,x)). (a(x,y,x) * z) * u = a(x,y,x) * (z * u). (a(x,x,y) * z) * u = a(x,x,y) * (z * u). R(a(x,y,x),z,u) = a(x,y,x). L(x,y,a(z,u,z)) = x. T(a(x,y,x) * z,u) = u \ (a(x,y,x) * (z * u)). x \ (a(y,z,y) * (u * x)) = T(a(y,z,y) * u,x). (a(x,y,x) * z) \ (a(x,y,x) * u) = z \ u. a(a(x,y,x) * z,u,w) = (a(x,y,x) * (z * (u * w))) \ (((a(x,y,x) * z) * u) * w). (a(x,y,x) * (z * (u * w))) \ (((a(x,y,x) * z) * u) * w) = a(a(x,y,x) * z,u,w). L(x,y,a(z,u,z) * w) = (a(z,u,z) * (w * y)) \ ((a(z,u,z) * w) * (y * x)). (a(x,y,x) * (z * u)) \ ((a(x,y,x) * z) * (u * w)) = L(w,u,a(x,y,x) * z). R(a(x,y,x) * z,u,w) = ((a(x,y,x) * (z * u)) * w) / (u * w). ((a(x,y,x) * (z * u)) * w) / (u * w) = R(a(x,y,x) * z,u,w). x \ (a(y,z,y) * u) = (a(y,z,y) \ x) \ u. (a(x,y,x) \ z) \ u = z \ (a(x,y,x) * u). L(x,y,a(z,z,u)) = x. L(x,y,a(z,u,u)) = x. L(x,y,a(z,z,u)) != w | x = w. R(a(x,y * K(z,y),x),y * K(z,y),z) != u | L(a(x,y,x),y,z) = u. L(a(x,y,x),y,z) = a(x,y * K(z,y),x). a(x,y * K(z,y),x) = L(a(x,y,x),y,z). x != L(a(y,z,y),u,w) | a(y,z,y) = x. a(x,y,x) = a(x,y * K(z,y),x). a(x,y * K(z,y),x) = a(x,y,x). a(x,T(y,z),x) = a(x,y,x). a(x,y / z,x) = a(x,z \ y,x). x / a(x,y,x) = L(x,T(y,z),x). L(x,T(y,z),x) = x / a(x,y,x). a(x,y,x) != z | a(x,T(y,u),x) = z. a(x,T(y / z,u),x) = a(x,z \ y,x). x != y / a(y,z,y) | L(y,z,y) = x. L(x,y,x) = L(x,T(y,z),x). L(x,T(y,z),x) = L(x,y,x). L(x,y \ z,x) = L(x,z / y,x). L(x,y / z,x) = L(x,z \ y,x). L(x,a(y,z,u),x) = L(x,R(y \ R(y,z,u),y,z * u),x). L(x,R(y \ R(y,z,u),y,z * u),x) = L(x,a(y,z,u),x). L(x,R(y,z,u),x) = L(x,R(y * K(w,y),z,u),x). L(x,R(y * K(z,y),u,w),x) = L(x,R(y,u,w),x). L(x,R(y * K(z,y),z,u),x) = L(x,(z * u) \ ((z * y) * u),x). a(x,R(y \ z,y,u),x) = a(x,(y * u) \ (z * u),x). (L(x,y,y) * z) * u = a(y,y,x) * ((x * z) * u). a(x,x,y) * ((y * z) * u) = (L(y,x,x) * z) * u. (a(x,y,x) * z) \ ((a(x,y,x) * u) * w) = z \ (u * w). x != y \ (a(z,u,z) * w) | a(z,u,z) * (y \ w) = x. a(x,y,x) * (z \ u) = (a(x,y,x) \ z) \ u. (a(x,y,x) \ z) \ u = a(x,y,x) * (z \ u). x / (a(y,z,y) * (u \ x)) = a(y,z,y) \ u. x / (a(y,z,y) * u) = a(y,z,y) \ (x / u). x / R(y,z,y) = a(y,z,y) \ (x / y). a(x,y,x) \ (z / x) = z / R(x,y,x). L(x,y,T(x \ 1,z)) = x * a(y,x,x). x \ (a(y,z,y) * u) != w | a(y,z,y) * (x \ u) = w. a(x,y,x) * (z \ (u * z)) = T(a(x,y,x) * u,z). a(x,y,y) * ((x * z) * u) = (L(x,y,y) * z) * u. a(x,y,x) * T(z,u) = T(a(x,y,x) * z,u). T(a(x,y,x) * z,u) = a(x,y,x) * T(z,u). T(x * a(y,z,y),u) = a(y,z,y) * T(x,u). x * y != a(z,u,z) * T(w,v5) | x \ T(w * a(z,u,z),v5) = y. a(x,y,x) \ T(z * a(x,y,x),u) = T(z,u). a(x,y,x) \ T(z,u) = T(a(x,y,x) \ z,u). T(a(x,y,x) \ z,u) = a(x,y,x) \ T(z,u). K(x,y) * T(a(z,u,z) \ y,x) = a(z,u,z) \ y. x * y != a(z,u,u) * ((z * w) * v5) | x \ ((L(z,u,u) * w) * v5) = y. L(x,y,y) \ ((L(x,y,y) * z) * u) = x \ ((x * z) * u). x \ ((L(x,y,y) * z) * u) = L(x,y,y) \ ((x * z) * u). L(x,y,y) \ ((x * z) * u) = x \ ((L(x,y,y) * z) * u). K(x,a(y,z,y) \ u) = K(x,u). x \ y != K(z,a(u,w,u) \ v5) | x * K(z,v5) = y. x * K(x,y) = T(x,a(z,u,z) \ y). T(x,a(y,z,y) \ u) = x * K(x,u). K(x,y) = K(x,a(z,u,z) * y). K(x,a(y,z,y) * u) = K(x,u). K(x,y) = K(x,y * a(z,u,z)). K(x,y * a(z,u,z)) = K(x,y). K(x,y \ (z * u)) = K(x,y \ T(u * z,u)). K(x,y \ T(z * u,z)) = K(x,y \ (u * z)). K(x,(y * a(z,u,z)) \ w) = K(x,y \ w). K(x,y * (z * a(u,w,u))) = K(x,y * z). K(x,y * (a(z,u,z) * w)) = K(x,y * w). K(x,y \ (a(z,u,z) * w)) = K(x,y \ w). K(x,y * a(z,u,u)) = K(x,y). K(x,L(y,z,z) \ u) = K(x,y \ u). T(x,y) = T(x,a(z,u,z) \ y). T(x,a(y,z,y) \ u) = T(x,u). T(x,y) = T(x,y * a(z,u,z)). T(x,y * a(z,u,z)) = T(x,y). T(x,L(y,z,y) * u) = T(x,y * u). T(x,y \ z) = T(x,L(y,u,y) \ z). T(x,L(y,z,y) \ u) = T(x,y \ u). T(x,y / (a(z,u,z) * w)) = T(x,y / w). T(x,y * a(z,z,u)) = T(x,y). T(x,y * a(z,u,u)) = T(x,y). T(x,y \ a(z,z,u)) = T(x,y \ 1). T(x,a(y,y,z) * u) = T(x,u). T(x,y \ L(z,u,u)) = T(x,y \ z). T(x,L(y,z,z) \ u) = T(x,y \ u). T(x,y \ (z * a(u,w,w))) = T(x,y \ z). T(x,L(y,z,z) * u) = T(x,y * u). T(x,y * L(z,u,u)) = T(x,y * z). T(x,y * (a(z,z,u) * w)) = T(x,y * w). T(x,y * (z * L(u,w,w))) = T(x,y * (z * u)). T(x,(L(y,z,z) * u) * w) = T(x,(y * u) * w). T(x,T(y,y * z) * u) = T(x,T(y,z) * u). T(x,T(y,y * z) \ u) = T(x,T(y,z) \ u). T(x,y \ (z \ u)) = T(x,y \ ((1 / z) * u)). T(x,y \ ((1 / z) * u)) = T(x,y \ (z \ u)). T(x,y \ (z \ T(u,z))) = T(x,y \ (u / z)). T(x,y \ (z / u)) = T(x,y \ (z * (u \ 1))). T(x,y \ (z * (u \ 1))) = T(x,y \ (z / u)). T(x,y \ (z * (z * u))) = T(x,y \ ((z * z) * u)). T(x,y \ ((z * z) * u)) = T(x,y \ (z * (z * u))). T(x,((y * y) \ z) * u) = T(x,(y \ (y \ z)) * u). T(x,((y \ 1) \ z) * u) = T(x,(y * z) * u). T(x,(y * z) * u) = T(x,(y / (1 / z)) * u). T(x,(y / (1 / z)) * u) = T(x,(y * z) * u). T(x,T(y,z \ 1) * u) = T(x,T(y,z) * 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 * (y / z)) * u) = T(x,((z \ y) * y) * u). T(x,((y \ z) * z) * u) = T(x,(z * (z / y)) * u). T(x,(y * (z \ y)) * u) = T(x,((y / z) * y) * u). T(x,((y / z) * y) * u) = T(x,(y * (z \ y)) * u). T(x,((y \ 1) \ (z \ 1)) * u) = T(x,(y / z) * u). T(x,y * ((z * z) \ u)) = T(x,y * (z \ (z \ u))). T(x,y * (z \ u)) = T(x,y * ((1 / z) * u)). T(x,y * ((1 / z) * u)) = T(x,y * (z \ u)). T(x,y * ((z \ 1) \ u)) = T(x,y * (z * 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,y * (z * (u \ 1))). T(x,y * (z * (u \ 1))) = T(x,y * (z / u)). T(x,y * (T(z,u) / u)) = T(x,y * (u \ z)). T(x,y * ((z \ 1) \ (u \ 1))) = T(x,y * (z / u)). K(x,T(y * z,y) \ u) = K(x,(z * y) \ u). K(x,y * (L(z,u,z) \ w)) = K(x,y * (z \ w)). K(x,y * (a(z,u,u) * w)) = K(x,y * w). K(x,y \ K(z,z \ u)) = K(x,y \ K(z,u)). T(x,y / T(z * u,z)) = T(x,y / (u * z)). T(x,y \ (L(z,u,z) \ w)) = T(x,y \ (z \ w)). T(x,y * (a(z,u,u) * w)) = T(x,y * w). T(x,y * (L(z,u,u) * w)) = T(x,y * (z * w)). T(x,y * (L(z,u,u) \ w)) = T(x,y * (z \ w)). T(x,y * (z * (a(u,u,w) * v5))) = T(x,y * (z * v5)). T(x,y * (z * (u * L(w,v5,v5)))) = T(x,y * (z * (u * w))). T(x,y * ((L(z,u,u) * w) * v5)) = T(x,y * ((z * w) * v5)). K(x,L(y,z,z) * u) = K(x,y * u). K(x,L(y,z,z) * (u / z)) != w | K(x,y * (u * (1 / z))) = w. K(x,y * (z * (1 / u))) = K(x,y * (z / u)). K(x,L(y,z,z) * (u / z)) != w | K(x,y * (u * (z \ 1))) = w. K(x,y * (z * (u \ 1))) = K(x,y * (z / u)). K(x,(y \ z) * u) = K(x,((1 / y) * z) * u). K(x,((1 / y) * z) * u) = K(x,(y \ z) * u). K(x,((y \ 1) \ z) * u) = K(x,(y * z) * 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). T(x,T(y,z) * u) = T(x,T(y,y \ z) * u). T(x,T(y,y \ z) * u) = T(x,T(y,z) * u). T(x,T(y,y * z) \ u) != w | T(x,T(y \ 1,z) * u) = w. T(x,T(y \ 1,z) * u) = T(x,T(y,z) \ u). T(x,L(y,(1 / z) \ u,1 / z)) = T(x,u \ (z \ (((1 / z) \ u) * y))). T(x,y \ (z \ (((1 / z) \ y) * u))) = T(x,L(u,(1 / z) \ y,1 / z)). T(x,y \ ((z \ (1 / u)) * w)) = T(x,y \ ((u * T(z,z \ 1)) \ w)). T(x,y \ ((z * T(u,u \ 1)) \ w)) = T(x,y \ ((u \ (1 / z)) * w)). T(x,(y * (1 / z)) \ u) = T(x,(z * (1 / y)) * u). T(x,((y * z) * y) * u) = T(x,(y * (z * y)) * u). T(x,((y * z) * z) * u) = T(x,(z * (z * y)) * u). T(x,(y / ((1 / z) \ u)) * w) = T(x,(y * ((u \ 1) * (z \ 1))) * w). T(x,(y * ((z \ 1) * (u \ 1))) * w) = T(x,(y / ((1 / u) \ z)) * w). T(x,(y * (((1 / z) * u) \ 1)) * w) = T(x,(y / (T(u,z) / z)) * w). T(x,(y / (T(z,u) / u)) * w) = T(x,(y * (((1 / u) * z) \ 1)) * w). T(x,y * ((z \ u) / z)) = T(x,y * (z \ (u / z))). T(x,y * (z / T(u,z))) = T(x,y * (u \ z)). T(x,y * (z / u)) = T(x,y * (T(u,z) \ z)). T(x,y * (T(z,u) \ u)) = T(x,y * (u / z)). T(x,y * ((K(z,u) / w) * v5)) = T(x,y * ((w * K(z,u)) \ v5)). T(x,y * ((z * K(u,w)) \ v5)) = T(x,y * ((K(u,w) / z) * v5)). T(x,y * (T(z,u) * ((1 / w) * (u \ (1 / w))))) = T(x,y * (w \ (u \ ((1 / w) * z)))). T(x,y * ((z \ 1) \ u)) != w | T(x,y * ((1 / z) \ u)) = w. T(x,y * ((1 / z) \ u)) = T(x,y * (z * u)). T(x,y * (((z \ 1) \ 1) \ u)) != w | T(x,y * (z \ u)) = w. 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) * z)) = T(x,y * (z * (u * z))). T(x,y * ((z * u) * u)) = T(x,y * (u * (u * z))). T(x,y \ (z * z)) = T(x,z * (z / y)). T(x,(y * y) / z) = T(x,y * (y / z)). T(x,y * ((1 / z) * u)) != w | T(x,y * (z \ u)) = w. T(x,y * (z \ (u \ 1))) = T(x,y * ((1 / z) / u)). T(x,y * ((1 / z) / u)) = T(x,y * (z \ (u \ 1))). T(x,y * (z * ((u \ 1) * ((1 / w) / v5)))) = T(x,y * (z / ((w \ (v5 \ 1)) \ u))). T(x,y) \ T(T(x,z * (u / w)),y) = K(x,T(z * (u * (w \ 1)),y)). T(T(x,y * (z / u)),K(w,y * (z * (u \ 1)))) = T(x,T(y * (z * (u \ 1)),w)). x * T(y,x * (x / y)) = (y \ x) \ (x * x). K(x,T(y,z) \ u) = K(x,((z \ y) * z) \ u). K(x,((y \ z) * y) \ u) = K(x,T(z,y) \ u). x != K(y,z \ K(u,w)) | K(y,z \ K(w,u)) = x. K(x,y \ K(z,u)) = K(x,y \ K(u,u \ z)). K(x,y \ K(z,z \ u)) = K(x,y \ K(u,z)). K(x,y * (z * u)) = K(x,y * (z / (u \ 1))). K(x,y * (z / (u \ 1))) = K(x,y * (z * u)). K(x,y * (z * (u \ (w \ u)))) = K(x,y * (z / T(w,u))). K(x,((1 / y) * z) * u) != w | K(x,((y \ 1) * z) * u) = w. K(x,((y \ 1) * z) * u) = K(x,(y \ z) * u). K(x,(y / z) * u) = K(x,(T(z,y) \ y) * u). K(x,(T(y,z) \ z) * u) = K(x,(z / y) * u). K(x,(y * (z * (1 / y))) * u) = K(x,(y * (z / y)) * u). T(x,L(T(y,y \ z),u,w) * v5) = T(x,T(y,z) * (a(T(y,y \ z) \ 1,w,u) * v5)). T(x,T(y,z) * (a(T(y,y \ z) \ 1,u,w) * v5)) = T(x,L(T(y,y \ z),w,u) * v5). T(x,y * z) = T(x,y * (u * ((1 / u) * z))). T(x,y * (z * ((1 / z) * u))) = T(x,y * u). T(x,y * T(z,u)) = T(x,y * (u * (z / u))). T(x,y * (z * (u / z))) = T(x,y * T(u,z)). T(x,y * (((z \ 1) \ u) \ w)) = T(x,y * (((u \ 1) * (1 / z)) * w)). T(x,y * (((z \ 1) * (1 / u)) * w)) = T(x,y * (((u \ 1) \ z) \ w)). T(x,y * ((z * u) * u)) = T(x,y * ((u * u) * z)). T(x,(y * T(y,z)) * u) = T(x,y * (T(y,z) * u)). x * T(y,x * (y \ x)) = (y \ x) \ (x * x). K(x,(y * (z / y)) \ u) = K(x,T(z,y) \ u). x \ T(x,(y \ z) * u) = K(x,((y \ 1) * z) * u). K(x,((y \ 1) * z) * u) = x \ T(x,(y \ z) * u). K(x,((y \ 1) * (z \ 1)) * u) != w | K(x,((1 / z) \ y) \ u) = w. K(x,((1 / y) \ z) \ u) = K(x,(z \ (y \ 1)) * u). K(x,(y * z) * u) = K(x,((1 / y) \ z) * u). K(x,((1 / y) \ z) * u) = K(x,(y * z) * u). T(x,y * (z * K(u,z))) = T(x,y * ((u * z) / u)). T(x,y * ((z * u) / z)) = T(x,y * (u * K(z,u))). T(x,y * (z * (1 / u))) = T(x,y * (z / u)). x * K(x,y * T(z,u)) = T(x,y * (u * (z / u))). T(x,y * (z * (u / z))) = x * K(x,y * T(u,z)). T(x,y * (z * u)) = T(x,y * T(u * z,u)). T(x,y * T(z * u,z)) = T(x,y * (u * z)). K(x,(y * z) \ u) = K(x,T(z * y,y) \ u). K(x,T(y * z,z) \ u) = K(x,(z * y) \ u). K(x,T(y,z) * u) = K(x,(z * (y / z)) * u). K(x,(y * (z / y)) * u) = K(x,T(z,y) * u). T(x,y * (z / y)) != u | T(x,T(z,y)) = u. T(x,y * T(z * u,z)) != w | T(x,z * (((z \ y) * u) * z)) = w. T(x,y * (((y \ z) * u) * y)) = T(x,z * (u * y)). T(x,y * T(R(z,u,w) * (u * w),R(z,u,w))) = T(x,y * ((T(z,u * w) * u) * w)). T(x,y * (z * (u \ w))) = T(x,y * (z * ((1 / u) * w))). T(x,y * (z * ((1 / u) * w))) = T(x,y * (z * (u \ w))). T(x,y * (z * ((u \ 1) \ w))) = T(x,y * (z * (u * w))). T(x,(y * (z * u)) / u) = T(x,u * ((u \ y) * z)). T(x,y * (z * (u / w))) = T(x,y * (z * (u * (w \ 1)))). T(x,y * (z * (u * (w \ 1)))) = T(x,y * (z * (u / w))). T(x,y * (z * (T(u,w) / w))) = T(x,y * (z * (w \ u))). T(x,y * (z * (u * (u * w)))) = T(x,y * (z * ((u * u) * w))). T(x,y * (z * ((u * u) * w))) = T(x,y * (z * (u * (u * w)))). T(x,(y / z) * u) = T(x,(y * (1 / z)) * u). T(x,(y * (1 / z)) * u) = T(x,(y / z) * u). T(x,T(y * z,y) * u) = T(x,(z * y) * u). T(x,y \ ((y * z) * u)) = T(x,(z * (u / y)) * y). T(x,y \ (z * (u * y))) = T(x,((y \ z) * u) * y). T(x,(y * (1 / z)) / u) = T(x,(y / z) * (u \ 1)). K(x,y * (T(z / u,z) \ w)) = K(x,y * ((u \ z) \ w)). T(x,y \ (T(z,z * u) \ w)) = T(x,y \ (T(z,u) \ w)). T(x,y * (((z * z) \ u) * w)) = T(x,y * ((z \ (z \ u)) * w)). 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 * ((z * u) * w)) = T(x,y * ((z / (1 / u)) * w)). T(x,y * ((z / (1 / u)) * w)) = T(x,y * ((z * u) * w)). T(x,y * (T(z,u \ 1) * w)) = T(x,y * (T(z,u) * w)). T(x,y * ((z \ T(u,z)) * w)) = T(x,y * ((u / z) * 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 * ((T(z,u) / u) * w)) = T(x,y * ((u \ z) * w)). T(x,y * ((z * (z * u)) * w)) = T(x,y * (((z * z) * u) * w)). T(x,y * (((z * z) * u) * w)) = T(x,y * ((z * (z * u)) * w)). T(x,y * (((z \ 1) \ u) \ w)) = T(x,y * ((z * u) \ w)). T(x,y * (T(z,u \ 1) \ w)) = T(x,y * (T(z,u) \ w)). T(x,y \ ((z * z) * u)) != w | T(x,y \ ((u * z) * z)) = w. T(x,y \ ((z * u) * u)) = T(x,y \ (u * (u * z))). T(x,((y \ T(z,y)) * z) * u) = T(x,(z * (z / T(y,z))) * u). T(x,(y \ (z \ 1)) * u) = T(x,((1 / y) / z) * u). T(x,((1 / y) / z) * u) = T(x,(y \ (z \ 1)) * u). x != T(y,(z * (1 / u)) * w) | T(y,(z / u) * w) = x. T(x,(y / z) * u) = T(x,(z * (1 / y)) \ u). T(x,(y * (1 / z)) \ u) = T(x,(z / y) * u). T(x,(y * z) \ u) = T(x,((z \ 1) / y) * u). T(x,((y \ 1) / z) * u) = T(x,(z * y) \ u). T(x,((y * z) * z) * u) = T(x,(y * (z * z)) * u). T(x,((y \ 1) * z) * u) = T(x,(y \ z) * u). T(x,(y * (z \ 1)) * u) != w | T(x,(y / z) * u) = w. T(x,((y \ 1) / z) * u) = T(x,(y \ (z \ 1)) * u). T(x,(y * z) * u) = T(x,((1 / y) \ z) * u). T(x,((1 / y) \ z) * u) = T(x,(y * z) * u). T(x,y * ((z * u) * y)) = T(x,(y * z) * (u * y)). T(x,(y * z) * (u * y)) = T(x,y * ((z * u) * y)). T(x,T(y * z,z) * u) = T(x,(z * y) * u). K(x,T(y * z,z) \ u) = K(x,(y \ (z \ 1)) * u). T(x,y * ((z * u) / z)) = T(x,y * T(u,z)). T(x,y * z) = T(x,y * T(T(z,u),u)). T(x,y * T(T(z,u),u)) = T(x,y * z). T(x,y * (z * (u / z))) != w | T(x,y * T(u,z)) = w. K(x,y) * T(y,z * (u * x)) = T(T(y,x),(((x \ z) * u) * x) * x). T(T(x,y),(((y \ z) * u) * y) * y) = K(y,x) * T(x,z * (u * y)). x != T(y,z * (u \ 1)) | T(y,z / u) = x. T(x,(y / z) / u) = T(x,(y * (1 / z)) / u). T(x,(y * (1 / z)) / u) = T(x,(y / z) / u). T(x,((y \ 1) / z) * u) != w | T(x,(z * y) \ u) = w. T(x,(y * z) \ u) = T(x,(z \ (y \ 1)) * u). T(x,(y \ (z \ 1)) * u) = T(x,(z * y) \ u). T(x,(y \ (z \ 1)) * u) != w | T(x,((1 / y) / z) * u) = w. T(x,((1 / y) / z) * u) = T(x,(z * y) \ u). T(x,x * y) != z | x * K(y,x \ 1) = z. (x \ (y \ 1)) * K(z,(x \ (y \ 1)) \ 1) = T(x \ (y \ 1),(y * x) \ z). K(x,T(y * z,z) \ u) != w | K(x,(z * y) \ u) = w. K(x,(y * z) \ u) = K(x,(z \ (y \ 1)) * u). K(x,(y \ (z \ 1)) * u) = K(x,(z * y) \ u). K(x,(y \ z) * u) = K(x,((1 / z) * y) \ u). K(x,((1 / y) * z) \ u) = K(x,(z \ y) * u). T((x \ (y \ 1)) * z,u) = K(u,(y * x) \ z) * ((x \ (y \ 1)) * z). K(x,(y * z) \ u) * ((z \ (y \ 1)) * u) = T((z \ (y \ 1)) * u,x). K(x,(y / z) \ u) = K(x,(T(y,z) \ z) * u). K(x,(T(y,z) \ z) * u) = K(x,(y / z) \ u). K(x,(T(y,z) \ z) * u) != w | K(x,(z / y) * u) = w. K(x,(y / z) * u) = K(x,(z / y) \ u). K(x,(y / z) \ u) = K(x,(z / y) * u). K(x,y \ z) = K(x,(u / (y * u)) * z). K(x,(y / (z * y)) * u) = K(x,z \ u). K(x,(y / z) * (u \ 1)) / (u * (z / y)) = T(((z \ 1) \ (y \ 1)) \ (1 / u),x). K(x,(y \ (y / z)) * u) = K(x,z \ u). K(x,(y \ z) * u) = K(x,(z \ y) \ u). K(x,(y \ z) \ u) = K(x,(z \ y) * u). K(x,T(1 / y,z) * u) = K(x,T(y,z) \ u). x \ T(x,(y \ z) * u) = K(x,(z \ y) \ u). K(x,y \ T(z,y)) != u | K(x,z / y) = u. K(x,y / (z \ u)) = K(x,(u \ z) * T(y,z \ u)). K(x,(y \ z) * T(u,z \ y)) = K(x,u / (z \ y)). 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,(u \ (u / y)) * z). T(x,(y \ (y / z)) * u) = T(x,z \ u). T(x,(y \ z) \ (u * K(z \ y,w))) = T(x,((z \ y) * u) * K(z \ y,w)). T(x,(y * (y * z)) \ u) = T(x,(y \ ((y \ 1) / z)) * u). T(x,(y \ ((y \ 1) / z)) * u) = T(x,(y * (y * z)) \ u). T(x,(y / z) \ u) = T(x,(z / y) * u). T(x,T(1 / y,z) * u) = T(x,T(y,z) \ u). T(x,(y / z) \ (u * K(z / y,w))) = T(x,((z / y) * u) * K(z / y,w)). T(x,y) \ T(T(x,(z / u) * w),y) = K(x,T((u / z) \ w,y)). K(x,y / ((z \ u) \ 1)) = K(x,y / (u \ z)). K(x,y * (z \ u)) = K(x,y / (u \ z)). K(x,y / (z \ u)) = K(x,y * (u \ z)). x != K(y,z * (y \ u)) | K(y,y \ (z * u)) = x. K(x,x \ (y * z)) = K(x,y / (z \ x)). K(x,y / (z \ x)) = K(x,x \ (y * z)). K(x,y / T(z,u)) = K(x,y * ((z * u) \ u)). K(x,y * ((z * u) \ u)) = K(x,y / T(z,u)). x * K((y \ z) \ 1,x * (y \ z)) = (z \ y) * (x / (z \ y)). K(x,y / z) = K(x,x \ (y * (x / z))). K(x,x \ (y * (x / z))) = K(x,y / z). K(x,x \ (y * (x / z))) != u | K(x,z \ T(y,z \ x)) = u. K(x,y \ T(z,y \ x)) = K(x,z / y). K(x,T(y,(z \ 1) \ x) / T(z \ 1,T(y,(z \ 1) \ x) * z)) = K(x,y / (z \ 1)). K(x,y * T(z \ 1,u)) = K(x,y / T(z,u)). T(x \ 1,y) * (z * (T(1 / x,y) \ 1)) = z * K(T(x,y),z / T(x,y)). T(x,y * (z * (L(u,w,w) * v5))) = T(x,y * (z * (u * v5))). T(x,y * (z * (L(u,w,w) \ v5))) = T(x,y * (z * (u \ v5))). T(x,y * (z * (u * (w * L(v5,v6,v6))))) = T(x,y * (z * (u * (w * v5)))). T(x,y * (z * ((L(u,w,w) * v5) * v6))) = T(x,y * (z * ((u * v5) * v6))). (x * y) \ (x * ((y * z) * a(u,u,w))) = L(z,y,x) * a(u,u,w). (x * x) \ (y * (x * a(z,z,u))) = (y / x) * a(z,z,u). (x * (a(y,z,z) * u)) * w = (x * u) * (a(y,z,z) * w). x \ ((x * y) * L(z,x,x)) != u | (y * (z / x)) / (1 / x) = u. (x * (y / L(z,u,u))) / (1 / L(z,u,u)) = z \ ((z * x) * L(y,L(z,u,u),L(z,u,u))). x \ ((x * y) * L(z,L(x,u,u),L(x,u,u))) = (y * (z / L(x,u,u))) / (1 / L(x,u,u)). (T(x,x \ y) / y) \ ((L(y \ x,y \ x,y \ x) * z) * u) = (y \ x) \ (((y \ x) * z) * u). L(x,y,y) \ ((x * z) * u) != w | (z * (u * (1 / x))) / (1 / L(x,y,y)) = w. (x * (y * (1 / z))) / (1 / L(z,u,u)) = z \ ((L(z,u,u) * x) * y). L(x,y,y) \ (z * (z * (x * u))) = x \ ((L(x,y,y) * u) * (z * z)). x != K(y,(z * (u / z)) * w) | K(y,T(u,z) * w) = x. K(x,T(y,z) * u) = K(x,(z * (y * (1 / z))) * u). K(x,(y * (z * (1 / y))) * u) = K(x,T(z,y) * u). T(x,y * ((z \ 1) * u)) != w | T(x,y * (z \ u)) = w. T(x,y * (z \ ((1 / u) * w))) = T(x,y * ((z \ 1) * (u \ w))). T(x,y * (z * ((u \ w) / u))) = T(x,y * (z * (u \ (w / u)))). T(x,y * (z * (u / T(w,u)))) = T(x,y * (z * (w \ u))). T(x,y * (z * ((u * w) * w))) = T(x,y * (z * (w * (w * u)))). T(x,y * (z * ((1 / u) * w))) != v5 | T(x,y * (z * (u \ w))) = v5. T(x,y * (z * (u \ (w \ 1)))) = T(x,y * (z * ((1 / u) / w))). T(x,y * (z * ((1 / u) / w))) = T(x,y * (z * (u \ (w \ 1)))). K(x,y * (T(z,u) \ w)) = K(x,y * (((z \ u) \ u) \ w)). K(x,y * (((z \ u) \ u) \ w)) = K(x,y * (T(z,u) \ w)). T(x,y \ (T(z,u * z) \ w)) = T(x,y \ (T(z,u) \ w)). T(x,y \ T(z \ 1,u)) = T(x,y \ (T(z,u) \ 1)). T(x,y \ T(z \ 1,u)) != w | T(x,y \ T(1 / z,u)) = w. T(x,y \ T(1 / z,u)) = T(x,y \ (T(z,u) \ 1)). T(x,y * (((z \ u) / z) * w)) = T(x,y * ((z \ (u / z)) * w)). T(x,y * ((z \ 1) * ((z * (1 / u)) * w))) = T(x,y * ((u \ (w * (z \ 1))) * z)). T(x,y * ((z * (z * u)) * w)) = T(x,y * (((u * z) * z) * w)). T(x,y * (((z * u) * u) * w)) = T(x,y * ((u * (u * z)) * w)). T(x,y * (z * (u \ 1))) != w | T(x,y * (z / u)) = w. T(x,y * (T(z,u \ 1) / w)) = T(x,y * (T(z,u) * (w \ 1))). T(x,y * ((z \ T(u,z)) / w)) = T(x,y * ((u / z) * (w \ 1))). T(x,y * (((z \ 1) * u) * w)) = T(x,y * ((T(u,z \ 1) / z) * w)). T(x,y * ((T(z,u \ 1) / u) * w)) = T(x,y * (((u \ 1) * z) * w)). T(x,y * ((z * (u * ((w \ u) \ 1))) * v5)) = T(x,y * ((z / (L(w,u,u) \ 1)) * v5)). T(x,y * (((z \ u) * K(z,w)) * v5)) = T(x,y * ((T(u,z) / T(z,w)) * v5)). T(x,y * ((T(z,u) / T(u,w)) * v5)) = T(x,y * (((u \ z) * K(u,w)) * v5)). T(x,y * (((z * u) * z) \ w)) = T(x,y * ((z * (u * z)) \ w)). T(x,K(y,z \ 1) * u) = T(x,y * (T(y,z) \ u)). T(x,K(y,z \ 1) * u) = T(x,K(y,z) * u). x * y != (z * (a(u,w,w) * v5)) * v6 | ((z * v5) * (a(u,w,w) * v6)) / y = x. ((x * y) * (a(z,u,u) * w)) / ((a(z,u,u) * y) * w) = R(x,a(z,u,u) * y,w). (x * y) * z = (x * L(y,u,u)) * (a(y,u,u) * z). (x * L(y,z,z)) * (a(y,z,z) * u) = (x * y) * u. K(x,(y * z) * u) = K(x,(y * L(z,w,w)) * u). K(x,(y * L(z,u,u)) * w) = K(x,(y * z) * w). T(x,(y * z) * u) = T(x,(y * L(z,w,w)) * u). T(x,(y * L(z,u,u)) * w) = T(x,(y * z) * w). K(x,(y * ((z \ 1) \ u)) * w) = K(x,(y * (z * u)) * w). 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 * ((z \ 1) \ u)) * w) = T(x,(y * (z * u)) * w). T(x,(y * (z \ T(u,z))) * w) = T(x,(y * (u / z)) * 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 * (((1 / z) * u) * ((z / y) \ 1))) * w) = T(x,((y / z) * (u * (y * (1 / z)))) * w). K(x,y * (T(z,z \ u) \ w)) = K(x,y * (T(z,u) \ w)). T(x,(y * ((z \ u) / z)) * w) = T(x,(y * (z \ (u / z))) * w). T(x,(y * (z / T(u,z))) * w) = T(x,(y * (u \ z)) * w). T(x,(y * ((1 / z) * u)) * w) != v5 | T(x,(y * (z \ u)) * w) = v5. T(x,(y * (z \ (u \ 1))) * w) = T(x,(y * ((1 / z) / u)) * w). T(x,(y * ((1 / z) / u)) * w) = T(x,(y * (z \ (u \ 1))) * w). T(x,(y \ (z * z)) * u) = T(x,(z * (z / y)) * u). K(x,y * (K(z \ u,z) * w)) = K(x,y * (T(z,u) \ (z * w))). K(x,y * (T(z,u) \ (z * w))) = K(x,y * (K(z \ u,z) * w)). T(x,y * (z * ((1 / u) \ w))) = T(x,y * (z * (u * 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)) / w)) = T(x,y * (w * ((w \ z) * u))). T(x,y * (z * (u * (w / v5)))) = T(x,y * (z * (u * (w * (v5 \ 1))))). T(x,y * (z * (u * (w * (v5 \ 1))))) = T(x,y * (z * (u * (w / v5)))). T(x,y * (z * (u * ((w \ 1) \ (v5 \ 1))))) = T(x,y * (z * (u * (w / v5)))). x != T(y,z * (u * (w * v5))) | T(y,z * (u * ((w \ 1) \ v5))) = x. T(x,y * (z * ((u \ 1) \ w))) = T(x,y * (z * ((1 / u) \ w))). T(x,y * (z * ((1 / u) \ w))) = T(x,y * (z * ((u \ 1) \ w))). T(x,y * (z * (u * (w \ 1)))) != v5 | T(x,y * (z * (u / w))) = v5. T(x,y * (z * ((u \ 1) / w))) = T(x,y * (z * (u \ (w \ 1)))). T(x,y * ((z / u) * w)) = T(x,y * ((z * (1 / u)) * w)). T(x,y * ((z * (1 / u)) * w)) = T(x,y * ((z / u) * 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))) = T(x,y * (z * ((u * (w \ 1)) * v5))). T(x,y * (z * ((u * (w \ 1)) * v5))) = T(x,y * (z * ((u / w) * v5))). T(x,y * (z * ((u * (u * w)) * v5))) = T(x,y * (z * (((u * u) * w) * v5))). T(x,y * (z * (((u * u) * w) * v5))) = T(x,y * (z * ((u * (u * w)) * v5))). T(x,(y * (z * (1 / u))) * w) = T(x,T(w,y * (z * (1 / u))) * (y * (z / u))). T(x,T(y,z * (u * (1 / w))) * (z * (u / w))) = T(x,(z * (u * (1 / w))) * y). T(x,y * (z * (u * w))) != v5 | T(x,y * (z * (u * L(w,v6,v6)))) = v5. T(x,y * (z * (u * L(1 / w,v5,v5)))) = T(x,y * (z * (u / w))). T(x,y * (z * (u \ (1 / w)))) = T(x,y * (z * ((1 / u) / w))). T(x,y * (z * ((1 / u) / w))) = T(x,y * (z * (u \ (1 / w)))). T(x,y * (z \ (u * (1 / w)))) = T(x,y * ((z \ 1) * (u / w))). x * y != T(z,u * (w * (v5 * (1 / v6)))) | x \ T(z,u * (w * (v5 / v6))) = y. x \ T(x,y * (z * (u / w))) = K(x,y * (z * (u * (1 / w)))). K(x,y * (z * (u * (1 / w)))) = x \ T(x,y * (z * (u / w))). T(x,y * ((z * (1 / u)) / w)) = T(x,y * ((1 / T(w,z * (1 / u))) * (z / u))). T(x,y * ((1 / T(z,u * (1 / w))) * (u / w))) = T(x,y * ((u * (1 / w)) / z)). x != T(y,z * (z * z)) | T(y,z \ 1) = x. T(x,(y \ (y \ z)) \ 1) = T(x,(y \ (y \ z)) * (((y * y) \ z) * (y \ (y \ z)))). T(x,(y \ (y \ z)) * (((y * y) \ z) * (y \ (y \ z)))) = T(x,(y \ (y \ z)) \ 1). T(x,((1 / y) \ (z * z)) * u) = T(x,y * ((z * (z * (u / y))) * y)). T(x,y * ((z * (z * (u / y))) * y)) = T(x,((1 / y) \ (z * z)) * u). T(x,((y \ z) * T(z,y)) * u) = T(x,(z * (z / T(y,z))) * u). K(x,T((y / z) \ u,w)) != v5 | K(x,T((z / y) * u,w)) = v5. x * K(y \ 1,x * y) != z | y * (x * (1 / y)) = z. (x \ y) * (z * (1 / (x \ y))) = (y \ x) * (z / (y \ x)). x * y != (z \ u) * (w * (1 / (z \ u))) | ((u \ z) * (w / (u \ z))) / y = x. ((x \ y) * (z / (x \ y))) / (y \ x) = ((y \ x) \ 1) * z. (x \ y) * z = (y \ x) * ((z / (1 / (x \ y))) / (y \ x)). (x \ y) * ((z / (1 / (y \ x))) / (x \ y)) = (y \ x) * z. (x * (y \ z)) / (z \ y) = ((z \ y) \ 1) * ((y \ z) * x). ((x \ y) \ 1) * ((y \ x) * z) = (z * (y \ x)) / (x \ y). x != T(y,z * ((u \ 1) * w)) | T(y,z * (u \ w)) = x. T(x,y * (z \ (u \ w))) = T(x,y * (z \ ((1 / u) * w))). T(x,y * (z \ ((1 / u) * w))) = T(x,y * (z \ (u \ w))). T(x,y * (z \ ((1 / u) * ((w * (v5 * u)) / u)))) = T(x,y * (z \ ((u \ w) * L(v5,u,u)))). T(x,y * (z \ (u / w))) = T(x,y * (z \ (T(w,u) \ u))). T(x,y * (z \ (T(u,w) \ w))) = T(x,y * (z \ (w / u))). T(x,y * (z \ (u * (w \ 1)))) = T(x,y * (z \ (u / w))). T(x,y * (z \ ((1 / u) * w))) != v5 | T(x,y * (z \ (u \ w))) = v5. T(x,y * (z \ (u \ (w \ 1)))) = T(x,y * (z \ ((1 / u) / w))). T(x,y * (z \ ((1 / u) / w))) = T(x,y * (z \ (u \ (w \ 1)))). T(x,y * (z * ((u * w) * w))) = T(x,y * (z * (u * (w * w)))). T(x,y * ((L(z,u,u) * (w / u)) * v5)) = T(x,y * ((u \ (((u * z) * w) / u)) * v5)). T(x,y * ((z \ (((z * u) * w) / z)) * v5)) = T(x,y * ((L(u,z,z) * (w / z)) * v5)). T(x,y * (((z * u) * u) * w)) = T(x,y * ((z * (u * u)) * w)). x != T(y,z * (u * (w \ 1))) | T(y,z * (u / w)) = x. T(x,y * (T(z,u) / w)) = T(x,y * (T(z,u \ 1) / w)). T(x,y * (T(z,u \ 1) / w)) = T(x,y * (T(z,u) / w)). T(x,y * ((z / u) / w)) = T(x,y * ((u \ T(z,u)) / w)). T(x,y * ((z \ T(u,z)) / w)) = T(x,y * ((u / z) / w)). T(x,y * ((z * (u \ 1)) / w)) = T(x,y * ((z / u) / w)). K(x,y * (K(z,u) * w)) = K(x,y * (K(u \ z,u) * w)). K(x,y * (K(z \ u,z) * w)) = K(x,y * (K(u,z) * w)). K(x,y * (K(z \ u,z) * ((T(z,u) \ u) \ w))) = K(x,y * ((z \ u) \ w)). T(x,T(y * (z * u),u)) = T(x,u * (u * ((u \ y) * z))). T(x,y * (y * ((y \ z) * u))) = T(x,T(z * (u * y),y)). 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))). 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 != T(y,(z * (u / T(w,u))) * v5) | T(y,(z * (w \ u)) * v5) = x. T(x,(y * (z \ y)) * u) = T(x,((z \ y) * T(y,z)) * u). T(x,((y \ z) * T(z,y)) * u) = T(x,(z * (y \ z)) * u). ((x * y) * (z * a(u,w,u))) / ((y * z) * a(u,w,u)) = R(x,y,z). x \ (y * (a(z,u,z) * w)) != v5 | a(z,u,z) * (x \ (y * w)) = v5. a(x,y,x) * ((z * u) \ (z * (u * w))) = L(w * a(x,y,x),u,z). (a(x,y,x) * ((z * u) * w)) / (u * w) = R(a(x,y,x) * z,u,w). L(x,R(y * K(z,y),u,w),x) != v5 | L(x,R(y,u,w),x) = v5. L(x,R(y,z,u),x) = L(x,(z * u) \ ((z * y) * u),x). L(x,(y * z) \ ((y * u) * z),x) = L(x,R(u,y,z),x). (x * y) \ (x * (y * (z * a(u,u,w)))) = L(z,y,x) * a(u,u,w). T(x,y * (z * (u * (1 / L(w,v5,v5))))) = T(x,y * (z * (u / w))). ((x * y) * (z * a(u,w,u))) / (y * (z * a(u,w,u))) = R(x,y,z). a(x,y,x) * L(z,u,w) = L(z * a(x,y,x),u,w). L(x * a(y,z,y),u,w) = a(y,z,y) * L(x,u,w). x != a(y,z,y) * u | u * a(y,z,y) = x. L(x,y,z) * a(u,w,u) = L(x * a(u,w,u),y,z). L(x * a(y,z,y),u,w) = L(x,u,w) * a(y,z,y). L(x * a(y,z,y),u,w) * v5 = L(x,u,w) * (a(y,z,y) * v5). x * L(x \ T(x * y,x),z,u) = L(y,z,u) * (a(x,y,x) * x). L(x,y,z) * (a(u,x,u) * u) = u * L(u \ T(u * x,u),y,z). (a(x,y,x) * z) / u != w | a(x,y,x) * (z / u) = w. a(x,y,x) * (((z * u) * w) / (u * w)) = R(a(x,y,x) * z,u,w). L(x * a(y,y,z),u,w) = L(x,u,w) * a(y,y,z). T(x,y * (z * (u * (1 / w)))) != v5 | T(x,y * (z * (u / w))) = v5. T(x,y * (z * (u / L(w,v5,v5)))) = T(x,y * (z * (u / w))). T(x,y * (z * (u * ((w \ 1) * (1 / v5))))) = T(x,y * (z * (u / (v5 * w)))). T(x,y * (z * (u / (w * v5)))) = T(x,y * (z * (u / (w / (1 / v5))))). T(x,y * (z * (u / (w / (1 / v5))))) = T(x,y * (z * (u / (w * v5)))). T(x,y * (z * (u / (w / v5)))) = T(x,y * (z * (u / (w * (v5 \ 1))))). T(x,y * (z * (u / (w * (v5 \ 1))))) = T(x,y * (z * (u / (w / v5)))). R(x,y,z * a(u,w,u)) = R(x,y,z). R(x,y,(z * u) * z) = R(x,y,z * (u * z)). R(x,y,T(z * u,z)) = R(x,y,u * z). R(x,y,L(z,u,z) \ w) = R(x,y,z \ w). R(x,y,z * a(u,w,w)) = R(x,y,z). R(x,y,L(z,u,u)) = R(x,y,z). R(x,y,a(z,u,u) * w) = R(x,y,w). R(x,y,a(z,z,u) * w) = R(x,y,w). R(x,y,z \ u) = R(x,y,(1 / z) * u). R(x,y,(1 / z) * u) = R(x,y,z \ u). R(x,y,T(z,u \ 1)) = R(x,y,T(z,u)). R(x,y,z / u) = R(x,y,z * (u \ 1)). R(x,y,z * (u \ 1)) = R(x,y,z / u). R(x,y,L(z,u,u) * w) = R(x,y,z * w). R(x,y,z * L(u,w,w)) = R(x,y,z * u). R(x,y,T(z,y)) != u | R(x,y,z) = u. R(x,y,y * z) = R(x,y,z * y). R(x,y,z * y) = R(x,y,y * z). R(x,y,T(1 / z,u) * w) = R(x,y,T(z,z * u) \ w). R(x,y,T(z,z * u) \ w) = R(x,y,T(1 / z,u) * w). R(x,y,((z \ 1) * (1 / u)) * w) = R(x,y,(u / (1 / z)) \ w). R(x,y,z * (u \ (w \ u))) = R(x,y,z / T(w,u)). R(x,y,z * (u * ((w \ 1) \ 1))) = R(x,y,z / (w \ (1 / u))). R(x,y,z * ((1 / u) \ (1 / w))) = R(x,y,z / L(w / u,w,w)). R(x,y,z / L(u / w,u,u)) = R(x,y,z * ((1 / w) \ (1 / u))). R(x,y,T(L(z,z,T(z \ 1,u)) \ 1,u) \ w) = R(x,y,T(z \ 1,u) \ w). R(x,y,T(z,z * u) \ w) = R(x,y,T(z,u) \ w). R(x,y,(z \ u) * w) = R(x,y,((1 / z) * u) * w). R(x,y,((1 / z) * u) * w) = R(x,y,(z \ u) * w). R(x,y,z / u) = R(x,y,z * (1 / u)). R(x,y,z * (1 / u)) = R(x,y,z / u). R(x,y,(z / u) * w) = R(x,y,(z * (u \ 1)) * w). R(x,y,(z * (u \ 1)) * w) = R(x,y,(z / u) * w). R(x,y,(T(z,u) / u) * w) = R(x,y,(u \ z) * w). R(x,y,z \ u) = R(x,y,(z \ 1) * u). R(x,y,(z \ 1) * u) = R(x,y,z \ u). R(x,y,z * (u / w)) = R(x,y,z * (u * (w \ 1))). R(x,y,z * (u * (w \ 1))) = R(x,y,z * (u / w)). R(x,y,z * (u \ 1)) != w | R(x,y,z / u) = w. R(x,y,(z \ 1) / u) = R(x,y,z \ (u \ 1)). R(x,y,((1 / z) * u) * w) != v5 | R(x,y,(z \ u) * w) = v5. R(x,y,(z \ (u \ 1)) * w) = R(x,y,((1 / z) / u) * w). R(x,y,((1 / z) / u) * w) = R(x,y,(z \ (u \ 1)) * w). R(x,y,T(z,u)) = R(x,y,u * (z / u)). R(x,y,z * (u / z)) = R(x,y,T(u,z)). R(x,y,K(z,u) * T(w,z)) = R(x,y,T(z,u) * (w / z)). R(x,y,T(z,z * u) \ w) != v5 | R(x,y,T(z,u) \ w) = v5. R(x,y,T(z,u) \ w) = R(x,y,T(1 / z,u) * w). R(x,y,T(1 / z,u) * w) = R(x,y,T(z,u) \ w). R(x,y,T(z,u) * w) = R(x,y,T(z \ 1,u) \ w). R(x,y,T(z \ 1,u) \ w) = R(x,y,T(z,u) * w). R(x,y,z * (u * (w \ 1))) != v5 | R(x,y,z * (u / w)) = v5. R(x,y,z * (u / (w \ 1))) = R(x,y,z / (w \ (1 / u))). R(x,y,z / (u \ (1 / w))) = R(x,y,z * (w / (u \ 1))). L(x,y,z) * R(u,x,u) = u * L(u \ T(u * x,u),y,z). L(x,y,z) \ T(u * L(u \ (u * x),y,z),u) = R(u,x,u). L(x,y,z) \ T(u * L(x,y,z),u) = R(u,x,u). R(x,L(y,z,u),x) = R(x,y,x). L(x,y,z) * R(u,x,u) = T(u * L(x,y,z),u). x \ R(x,y,x) = a(x,L(y,z,u),x). a(x,L(y,z,u),x) = x \ R(x,y,x). x != y \ R(y,z,y) | a(y,z,y) = x. a(x,y,x) = a(x,L(y,z,u),x). a(x,L(y,z,u),x) = a(x,y,x). a(x,y,x) \ x = L(x,L(y,z,u),x). L(x,L(y,z,u),x) = a(x,y,x) \ x. x != a(y,z,y) \ y | L(y,z,y) = x. L(x,y,x) = L(x,L(y,z,u),x). L(x,L(y,z,u),x) = L(x,y,x). L(x,a(y,z,u),x) = L(x,L(u,z,y) \ u,x). L(x,L(y,z,u) \ y,x) = L(x,a(u,z,y),x). K(x,x * y) * T(x * L(y,z,u),x) = L(y,z,u) * T(x,y). T(T(x,x * y) * L(y,z,u),x) = L(y,z,u) * T(x,y). T(T(x,x * y) * L(y,z,u),x) != w | T(x * L(y,z,u),x * y) = w. 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). (L(x,y,z) * T(u,x)) \ (u * L(x,y,z)) != w | K(u * x,u * L(x,y,z)) = w. a(x,y,x) * R(z,u,w) = R(a(x,y,x) * z,u,w). R(a(x,y,x) * z,u,w) = a(x,y,x) * R(z,u,w). x * y != a(z,u,z) * R(w,v5,v6) | x \ R(a(z,u,z) * w,v5,v6) = y. a(x,y,x) \ R(a(x,y,x) * z,u,w) = R(z,u,w). R(x,y,z) * a(u,w,u) = R(x * a(u,w,u),y,z). R(x * a(y,z,y),u,w) = R(x,u,w) * a(y,z,y). a(x,R(y,z,u),x) = a(x,y,x). a(x,R(y \ z,y,u),x) != w | a(x,(y * u) \ (z * u),x) = w. a(x,(y * z) \ (u * z),x) = a(x,y \ u,x). a(x,y,x) * (R(y,z,u) * x) = T(x * R(y,z,u),x). a(x,y \ (z * u),x) = a(x,(y / u) \ z,x). a(x,(y / z) \ u,x) = a(x,y \ (u * z),x). a(x,y \ (z * u),x) \ x = L(x,(y / u) \ z,x). L(x,y \ (z * u),x) = L(x,(y / u) \ z,x). L(x,(y / z) \ u,x) = L(x,y \ (u * z),x). L(x,y \ z,x) = L(x,(y * u) \ (z * u),x). L(x,(y * z) \ (u * z),x) = L(x,y \ u,x). L(x,(y * z) \ ((y * u) * z),x) != w | L(x,R(u,y,z),x) = w. L(x,R(y,z,u),x) = L(x,z \ (z * y),x). L(x,R(y,z,u),x) = L(x,y,x). L(x,R(y \ R(y,z,u),y,z * u),x) != w | L(x,a(y,z,u),x) = w. L(x,a(y,z,u),x) = L(x,y \ R(y,z,u),x). L(x,y \ R(y,z,u),x) = L(x,a(y,z,u),x). R(x,y,z) * R(u,x,u) = T(u * R(x,y,z),u). K(x,x * y) * T(x * R(y,z,u),x) = R(y,z,u) * T(x,y). T(T(x,x * y) * R(y,z,u),x) = R(y,z,u) * T(x,y). T(T(x,x * y) * R(y,z,u),x) != w | T(x * R(y,z,u),x * y) = w. T(x * R(y,z,u),x * y) = R(y,z,u) * T(x,y). K(x * y,x * R(y,z,u)) = (x * R(y,z,u)) / (R(y,z,u) * T(x,y)). (x * R(y,z,u)) / (R(y,z,u) * T(x,y)) = K(x * y,x * R(y,z,u)). L(x,y,a(y,z,u)) != w / T(y * a(y,z,u),x) | a(y,z,u) * (y * x) = w. x / T(y * a(y,z,u),w) != L(w,y,a(y,z,u)) | a(y,z,u) * (y * w) = x. (x \ (T(x,y) * (z / x))) / x = (1 * (x \ (T(x,y) \ 1))) * z. (K(x,y) * (z / x)) / x = (1 * (x \ (T(x,y) \ 1))) * z. (K(x,y) * z) / x != u | K(x,y) * (z / x) = u. K(x,y) * ((z / x) / x) = (1 * (x \ (T(x,y) \ 1))) * z. K(x,y) * ((x * x) \ z) = (1 * (x \ (T(x,y) \ 1))) * z. K(x,y) * ((x * x) \ z) = (x \ (T(x,y) \ 1)) * z. T(x,(y * (z * (u \ 1))) * w) != v5 | T(x,(y * (z / u)) * w) = v5. T(x,(y * ((z \ 1) / u)) * w) = T(x,(y / ((1 / u) \ z)) * w). T(x,(y / ((1 / z) \ u)) * w) = T(x,(y * ((u \ 1) / z)) * w). T(x,(y / (z \ u)) * w) = T(x,(y * ((u \ 1) / (z \ 1))) * w). T(x,(y * ((z \ 1) / (u \ 1))) * w) = T(x,(y / (u \ z)) * w). T(x,(y * (((1 / z) * u) \ 1)) * w) = T(x,(y / (z \ u)) * w). x != T(y,(z * (((1 / u) * w) \ 1)) * v5) | T(y,(z / (u \ w)) * v5) = x. T(x,(y / (z \ u)) * w) = T(x,(y / (T(u,z) / z)) * w). T(x,(y / (T(z,u) / u)) * w) = T(x,(y / (u \ z)) * w). K(x,T(y * (z * (u \ 1)),w)) != v5 | K(x,T(y * (z / u),w)) = v5. K(x,y \ (y \ ((y * z) * u))) != w | K(x,T(z * (u / y),y)) = w. x != T(y,z * (((u \ 1) \ w) \ v5)) | T(y,z * ((u * w) \ v5)) = x. T(x,y * ((z * u) \ w)) = T(x,y * (((u \ 1) * (1 / z)) * w)). T(x,y * (((z \ 1) * (1 / u)) * w)) = T(x,y * ((u * z) \ w)). T(T(x,y),y * (y * ((y \ z) * u))) = K(y,x) * T(x,z * (u * y)). ((x * y) * ((y \ 1) * (1 / z))) / (1 / L(z,y,y)) != u | R(x,y,y \ (1 / L(z,y,y))) = u. R(x,y,y \ (1 / L(z,y,y))) = z \ ((L(z,y,y) * (x * y)) * (y \ 1)). x \ ((L(x,y,y) * (z * y)) * (y \ 1)) = R(z,y,y \ (1 / L(x,y,y))). T(x,y * ((T(z,u) * (1 / u)) * w)) = T(x,y * (((u \ 1) * z) * w)). T(x,y * (z * (u * (w \ (v5 / w))))) = T(x,y * (z * (u * ((w \ v5) / w)))). T(x,y * (z * (u * ((w \ v5) / w)))) = T(x,y * (z * (u * (w \ (v5 / w))))). T(x,y * (z * (u \ (w * w)))) = T(x,y * (z * (w * (w / u)))). x != T(y,((1 / z) \ u) * w) | T(y,(z * u) * w) = x. T(x,(y * (z * z)) * u) = T(x,y * ((z * (z * (u / y))) * y)). T(x,y * ((z * (z * (u / y))) * y)) = T(x,(y * (z * z)) * u). T(x,T(y,z) * ((z * u) * u)) = T(x,(z * (u * u)) * y). T(x,y * ((z * u) * u)) != w | T(x,y * (u * (u * z))) = w. T(x,T(y,z) * (u * (u * z))) = T(x,(z * (u * u)) * y). T(x,T(y,z) * (z * (u * u))) = T(x,(z * (u * u)) * y). T(x,y * (z * (1 / u))) != w | T(x,y * (z / u)) = w. T(x,y * (z / (u / (1 / w)))) = T(x,y * (z * (1 / (u * w)))). x != T(y,z * (u * (1 / w))) | T(y,z * (u / w)) = x. 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 * u)))) = T(x,y * (z / ((u * w) * u))). T(x,y * (z / ((u * w) * u))) = T(x,y * (z / (u * (w * u)))). T(x,y * ((z * (1 / u)) * w)) != v5 | T(x,y * ((z / u) * w)) = v5. T(x,y * ((T(z,u) / u) * w)) = T(x,y * (((u \ 1) * z) * w)). T(x,y * ((T(z,u) / u) * w)) != v5 | T(x,y * ((u \ z) * w)) = v5. T(x,y * ((z \ u) * w)) = T(x,y * (((z \ 1) * u) * w)). T(x,y * (((z \ 1) * u) * w)) = T(x,y * ((z \ u) * w)). T(x,y * (((z \ 1) * (1 / u)) * w)) != v5 | T(x,y * ((u * z) \ w)) = v5. T(x,y * ((z * u) \ w)) = T(x,y * ((u \ (1 / z)) * w)). T(x,y * ((z \ (1 / u)) * w)) = T(x,y * ((u * z) \ w)). T(x,y * (((z \ 1) * u) / w)) = T(x,y * ((z \ u) * (w \ 1))). x * y != T(z,u * (((w \ 1) * v5) * v6)) | x \ T(z,u * ((w \ v5) * v6)) = y. x \ T(x,y * ((z \ u) * w)) = K(x,y * (((z \ 1) * u) * w)). K(x,y * (((z \ 1) * u) * w)) = x \ T(x,y * ((z \ u) * w)). T(x,y * (((z \ K(z,u)) * w) * v5)) = T(x,y * ((T(z,u) \ w) * v5)). T(x,y * (((z \ K(u,w)) * v5) * v6)) = T(x,y * (((K(u,w) * z) \ v5) * v6)). T(x,y * (((K(z,u) * w) \ v5) * v6)) = T(x,y * (((w \ K(z,u)) * v5) * v6)). T(x,y * ((z \ u) / w)) = T(x,y * (((z \ 1) * u) / w)). T(x,y * (((z \ 1) * u) / w)) = T(x,y * ((z \ u) / w)). T(x,y * ((z * (u \ 1)) / w)) != v5 | T(x,y * ((z / u) / w)) = v5. T(x,y * (((z \ 1) / u) / w)) = T(x,y * ((z \ (u \ 1)) / w)). T(x,y * (((z \ 1) * (u * z)) / w)) = T(x,y * (T(u,z) / w)). T(x,y * (((z / (u \ 1)) \ (u \ 1)) / w)) = T(x,y * ((u \ (((u \ 1) \ z) \ 1)) / w)). T(x,y * ((z \ (u \ 1)) * (z \ (u \ 1)))) = T(x,y * ((u \ (z \ (u \ 1))) / z)). T(x,y * ((((z * u) \ 1) / u) / w)) = T(x,y * ((u \ (z \ (u \ 1))) / w)). 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 \ 1,x * (((x \ 1) * y) * z)) != u | K(x,y * (z * x)) = u. K(x,y * (z * x)) = K(x \ 1,x * ((x \ y) * z)). K(x \ 1,x * ((x \ y) * z)) = K(x,y * (z * x)). K(x,x \ (x \ y)) = K(x,y * (x * x)). K(x,x \ (x \ y)) = K(x,x * (x * y)). T(x,((x * x) / y) \ 1) = x * K(x,x * (x * y)). T(x,x * (x * y)) = T(x,((x * x) / y) \ 1). T(x,((x * x) / y) \ 1) = T(x,x * (x * y)). T(x,x \ (x \ y)) = T(x,x * (x * y)). T(x,y * ((z * (u / z)) / w)) = T(x,y * (T(u,z) / w)). x != L(y,K(z,T(u,y)),w) | L(y,K(z,u),w) = x. L(x,K(y,z),u) = (u * (x * K(y,z))) / T(u * K(y,T(z,x)),x). (x * (y * K(z,u))) / T(x * K(z,T(u,y)),y) = L(y,K(z,u),x). x != a(y,y,z) * (z \ u) | L(z,y,y) \ u = x. L(x,y,y) \ ((x * z) * u) = (L(z,x,x) * (u / x)) * L(x,y,y). (L(x,y,y) * (z / y)) * L(y,u,u) = L(y,u,u) \ ((y * x) * z). (L(x,y,y) * ((z * z) / y)) * L(y,u,u) = L(y,u,u) \ (z * (z * (y * x))). T(x,y \ (z \ (((1 / z) \ y) * u))) = T(x,L(u,(1 / z) \ y,z \ 1)). T(x,y * (z * (u * (w * (v5 \ 1))))) = T(x,y * (z * (u * (w * (1 / v5))))). T(x,y * (z * (u * (w * (1 / v5))))) = T(x,y * (z * (u * (w * (v5 \ 1))))). T(x,y * (z * (u * ((1 / w) \ v5)))) = T(x,y * (z * (u * (w * v5)))). T(x,y * (z * (u * (w \ v5)))) = T(x,y * (z * (u * ((w \ 1) * v5)))). T(x,y * (z * (u * ((w \ 1) * v5)))) = T(x,y * (z * (u * (w \ v5)))). T(x,y * (z * (u * (w * (v5 \ 1))))) != v6 | T(x,y * (z * (u * (w / v5)))) = v6. T(x,y * (z * (u * ((w \ 1) / v5)))) = T(x,y * (z * (u * (w \ (v5 \ 1))))). T(x,y * (z * ((((u \ w) * (u \ w)) \ v5) * ((u \ 1) * w)))) = T(x,y * (z * (v5 / (u \ w)))). T(x,y * (z * ((u / w) * v5))) = T(x,y * (z * ((u * (1 / w)) * v5))). T(x,y * (z * ((u * (1 / w)) * v5))) = T(x,y * (z * ((u / w) * v5))). K(x,y) * K(L(y,z,u),x) = K(x * L(y,z,u),x * y). K(x * L(y,z,u),x * y) = K(x,y) * K(L(y,z,u),x). x != K(y,z) * K(L(z,u,w),y) | a(w,u,K(y,z)) = x. a(x,y,K(z,u)) = K(z * L(u,y,x),z * u). K(x * L(y,z,u),x * y) = a(u,z,K(x,y)). K(x,(x / L(y,z,u)) * y) = a(u,z,K(x / L(y,z,u),y)). K(x,(x / L(y,z,u)) * y) != w | K(x,y * (L(y,z,u) \ x)) = w. K(x,y * (L(y,z,u) \ x)) = a(u,z,K(x / L(y,z,u),y)). K(x,y * (L(y,z,u) \ x)) = a(u,z,K(y \ x,y)). x \ (y * (((y \ 1) * L(x,y,y)) * z)) = R(z,y,y \ (1 / L(x,y,y))). T(x,y \ (z \ (((1 / z) \ y) * u))) = T(x,L(u,(z \ 1) \ y,z \ 1)). x \ (y * ((y \ x) * z)) = R(z,y,y \ (1 / L(x,y,y))). R(x,y,y \ (1 / L(z,y,y))) = z \ (y * ((y \ z) * x)). x != y \ (z * ((z \ y) * u)) | L(u,z \ y,z) = x. L(x,y \ z,y) = R(x,y,y \ (1 / L(z,y,y))). R(x,y,y \ (1 / L(z,y,y))) = L(x,y \ z,y). R(x,y,(y \ 1) * (1 / z)) = L(x,y \ z,y). R(x,y,z * (1 / u)) != w | R(x,y,z / u) = w. R(x,y,(y \ 1) / z) = L(x,y \ z,y). R(x,y,(z \ 1) / u) != w | R(x,y,z \ (u \ 1)) = w. R(x,y,y \ (z \ 1)) = L(x,y \ z,y). R(x,y,y \ z) = L(x,y \ (1 / z),y). L(x,y \ (1 / z),y) = R(x,y,y \ z). R(x,y,y \ ((z / y) \ 1)) = L(x,(y \ z) * (y \ 1),y). R(x,y * (z / y),(y * (z / y)) \ ((y \ 1) \ 1)) = L(x,(1 / y) * (z \ 1),y * (z / y)). L(x,y \ (1 / z),u) != w | L(x,y \ (z \ 1),u) = w. L(x,y \ (z \ 1),y) = R(x,y,y \ z). L(x,(y \ 1) * (y \ (z \ 1)),(1 / y) \ y) = R(x,(1 / y) \ y,((1 / y) \ y) \ z). R(x,y,y * ((z * y) \ 1)) = L(x,(y \ z) * (y \ 1),y). R(x,y,y / (z * y)) = L(x,(y \ z) * (y \ 1),y). L(x,(y \ z) * (y \ 1),y) = R(x,y,y / (z * y)). x * K(y,(z \ u) \ 1) != w | x * K(y,u \ z) = w. (x \ (y \ 1)) * K(z,(y \ 1) \ x) = T(x \ (y \ 1),(y * x) \ z). (x \ (y \ 1)) * K(z,y * x) = T(x \ (y \ 1),(y * x) \ z). T(x \ (y \ 1),(y * x) \ z) = (x \ (y \ 1)) * K(z,y * x). T(x,(y \ z) \ (u * K(w,z \ y))) = T(x,((z \ y) * u) * K(z \ y,w)). T(x,(y / z) \ (u * K(w,z / y))) = T(x,((z / y) * u) * K(z / y,w)). x != y * K(z,y / z) | z * (y / z) = x. T(x,y) * (z / T(x,y)) = T(x \ 1,y) * (z * (T(1 / x,y) \ 1)). T(x \ 1,y) * (z * (T(1 / x,y) \ 1)) = T(x,y) * (z / T(x,y)). T(x,y * (((1 / z) \ (u * u)) * w)) = T(x,y * (z * ((u * (u * (w / z))) * z))). T(x,y * (z * ((u * (u * (w / z))) * z))) = T(x,y * (((1 / z) \ (u * u)) * w)). K(x,y * ((K(z,u) * (z / u)) \ w)) = K(x,y * ((u \ z) \ w)). K(x,y * ((T(z,u) / u) \ w)) = K(x,y * ((u \ z) \ w)). K(x,y * T(z,u)) = K(x,y * ((z \ u) \ u)). K(x,y * ((z \ u) \ u)) = K(x,y * T(z,u)). K(x,y * (z \ u)) = K(x,y * T(u / z,u)). K(x,y * T(z / u,z)) = K(x,y * (u \ z)). T(x,y * (z * (u * ((w \ 1) * v5)))) != v6 | T(x,y * (z * (u * (w \ v5)))) = v6. T(x,y * (z * (u * (w \ (1 / v5))))) = T(x,y * (z * (u / (v5 * w)))). T(x,y * (z * (u * (w \ v5)))) = T(x,y * (z * (u / ((v5 \ 1) * w)))). T(x,y * (z * (u / ((w \ 1) * v5)))) = T(x,y * (z * (u * (v5 \ w)))). x != T(y,z * (u * (w * (v5 * (v6 \ 1))))) | T(y,z * (u * (w * (v5 / v6)))) = x. T(x,y * (z * (u * (w / v5)))) = T(x,y * (z * (u * (w * (1 / v5))))). T(x,y * (z * (u * (w * (1 / v5))))) = T(x,y * (z * (u * (w / v5)))). T(x,(y * (z * (u * (1 / w)))) * v5) = T(T(x,K(v5,y * (z * (u * (1 / w))))),v5 * (y * (z * (u / w)))). T(T(x,K(y,z * (u * (w * (1 / v5))))),y * (z * (u * (w / v5)))) = T(x,(z * (u * (w * (1 / v5)))) * y). T(x,y * (z * (u * ((w \ 1) * (1 / v5))))) != v6 | T(x,y * (z * (u / (v5 * w)))) = v6. T(x,y * (z * (u / (w * v5)))) = T(x,y * (z * (u * ((v5 \ 1) / w)))). T(x,y * (z * (u * ((w \ 1) / v5)))) = T(x,y * (z * (u / (v5 * w)))). x * y != T(z,u * (w * (v5 * (v6 * (1 / v7))))) | x \ T(z,u * (w * (v5 * (v6 / v7)))) = y. x \ T(x,y * (z * (u * (w / v5)))) = K(x,y * (z * (u * (w * (1 / v5))))). K(x,y * (z * (u * (w * (1 / v5))))) = x \ T(x,y * (z * (u * (w / v5)))). T(x,y * ((z * (u * (1 / w))) * v5)) = T(x,y * (T(v5,z * (u * (1 / w))) * (z * (u / w)))). T(x,y * (T(z,u * (w * (1 / v5))) * (u * (w / v5)))) = T(x,y * ((u * (w * (1 / v5))) * z)). T(x,y * (z * (u * ((w \ 1) / v5)))) != v6 | T(x,y * (z * (u / (v5 * w)))) = v6. T(x,y * (z * (u / (w * v5)))) = T(x,y * (z * (u * (v5 \ (w \ 1))))). T(x,y * (z * (u * (w \ (v5 \ 1))))) = T(x,y * (z * (u / (v5 * w)))). T(x,y * (z * (u * ((w \ 1) \ (v5 \ 1))))) != v6 | T(x,y * (z * (u * (w / v5)))) = v6. T(x,y * (z * (u * (w / v5)))) = T(x,y * (z * (u / (v5 * (w \ 1))))). T(x,y * (z * (u / (w * (v5 \ 1))))) = T(x,y * (z * (u * (v5 / w)))). T(x,y * (z * (u / (w * (v5 \ 1))))) != v6 | T(x,y * (z * (u / (w / v5)))) = v6. T(x,y * (z * (u / (w / v5)))) = T(x,y * (z * (u * (v5 / w)))). T(x,y * (z * (u / (w * v5)))) = T(x,y * (z * (u * ((1 / v5) / w)))). T(x,y * (z * (u * ((1 / w) / v5)))) = T(x,y * (z * (u / (v5 * w)))). T(x,y * (z * ((u \ w) * (u \ w)))) = T(x,y * (z * (w * ((u \ w) / u)))). K(x,y * (z * (u * (w / v5)))) = K(x,y * (z * (u * (w * (1 / v5))))). K(x,y * (z * (u * (w * (1 / v5))))) = K(x,y * (z * (u * (w / v5)))). K(x,y * (z * (u * (w * (1 / z))))) != v5 | K(x,y / (z * (1 / ((z * u) * w)))) = v5. K(x,y / (z * (1 / ((z * u) * w)))) = K(x,y * (z * (u * (w / z)))). x != T(y,z * (u * (w * ((v5 \ v6) / v5)))) | T(y,z * (u * (w * (v5 \ (v6 / v5))))) = x. T(x,y * (z * (u * (w \ (u / w))))) = T(x,y * (z * ((w \ u) * (w \ u)))). T(x,y * (z * ((u \ w) * (u \ w)))) = T(x,y * (z * (w * (u \ (w / u))))). (x * (a(y,z,z) * u)) \ (x * (a(y,z,z) * (u * w))) = L(w,u,a(y,z,z) * x). (a(x,y,x) * z) \ ((a(x,y,x) * u) * w) != v5 | z \ (u * w) = v5. (x * y) \ (x * (y * z)) = L(z,y,a(u,w,u) * x). L(x,y,a(z,u,z) * w) = (w * y) \ (w * (y * x)). L(x,y,z) = L(x,y,a(u,w,u) * z). L(x,y,a(z,u,z) * w) = L(x,y,w). L(x,y,z) = L(x,y,a(u,w,u) \ z). L(x,y,a(z,u,z) \ w) = L(x,y,w). L(x,y,K(z,u)) = L(x,y,K(z,z * u)). L(x,y,K(z,z * u)) = L(x,y,K(z,u)). L(x,y,a(z,z,u) * w) = L(x,y,w). L(x,y,a(z,u,u) * w) = L(x,y,w). L(x,y,L(z,u,z)) = L(x,y,z). L(x,y,z / R(u,w,u)) = L(x,y,z / u). L(x,y,T(z / u,z)) = L(x,y,u \ z). L(x,y,T(z,z * u)) = L(x,y,T(z,u)). L(x,y,L(z,u,u)) = L(x,y,z). L(x,y,L(z,u,u) * w) = L(x,y,z * w). L(x,y,z * a(u,w,w)) = L(x,y,z). L(x,y,(z * z) * u) = L(x,y,z * (z * u)). L(x,y,L(z,u,u) \ w) = L(x,y,z \ w). L(x,y,z * L(u,w,w)) = L(x,y,z * u). L(x,y,z * L(u,w,u)) = L(x,y,z * u). L(x,y,z * (a(u,u,w) * v5)) = L(x,y,z * v5). L(x,y,z * (u * L(w,v5,v5))) = L(x,y,z * (u * w)). L(x,y,(z * z) \ u) = L(x,y,z \ (z \ u)). L(x,y,z \ u) = L(x,y,(1 / z) * u). L(x,y,(1 / z) * u) = L(x,y,z \ u). L(x,y,(z \ 1) \ u) = L(x,y,z * u). L(x,y,z / u) = L(x,y,z * (u \ 1)). L(x,y,z * (u \ 1)) = L(x,y,z / u). L(x,y,z * (z / u)) = L(x,y,(u \ z) * z). L(x,y,(z \ u) * u) = L(x,y,u * (u / z)). L(x,y,(z * u) * u) = L(x,y,z * (u * u)). L(x,y,K(z,u \ 1)) = L(x,y,K(u,z)). L(x * (1 / T(y / z,y)),T(y / z,y),T(y / z,y)) != u | L(x,T(y / z,y),T(y / z,y)) * (y \ z) = u. L(x,T(y / z,y),T(y / z,y)) * (y \ z) = L(x * (1 / T(y / z,y)),T(y / z,y),z \ y). L(x * (1 / T(y / z,y)),T(y / z,y),z \ y) = L(x,T(y / z,y),T(y / z,y)) * (y \ z). 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) = L(x,y,T(z,y)). L(x,y,T(z,y)) = L(x,y,z). x \ y != L(z,u,T(w,w * v5)) | x * L(z,u,T(w,v5)) = y. x * L(x \ 1,y,T(z,u)) = a(x,T(z,z * u),y). a(x,T(y,y * z),u) = x * L(x \ 1,u,T(y,z)). L(x,y,T(z \ (z / u),z)) = L(x,y,T(z \ (z / u),u * z)). L(x,y,T(z \ (z / u),u * z)) = L(x,y,T(z \ (z / u),z)). L(x,y,T(z,y)) != u | L(x,y,z) = u. L(x,y,T(z \ (u \ 1),(u * z) \ w)) = L(x,y,T(z \ (u \ 1),w)). L(x \ y,x,T(z,x)) != u | (x * z) \ (T(z,x) * y) = u. (x * y) \ (T(y,x) * z) = L(x \ z,x,y). L(x,y,y \ z) = L(x,y,z / y). L(x,y,z / y) = L(x,y,y \ z). (x * y) * L(z,x,y) = T(y,x) * (x * z). L(x \ y,x,z / x) != u | z \ ((z / x) * y) = u. x \ ((x / y) * z) = L(y \ z,y,y \ x). L(x \ y,x,x \ z) = z \ ((z / x) * y). x \ y != L(z,u,w / u) | x * L(z,u,u \ w) = y. x * L(y,z,z \ x) = (x / z) * (z * y). L(x,y,(z * y) \ y) != u | L(x,y,z \ 1) = u. L(x,y,z / y) != u | L(x,y,y \ z) = u. L(x,y,(z \ u) / z) = L(x,y,z \ (u / z)). L(x,y,z / u) = L(x,y,T(u,z) \ z). L(x,y,T(z,u) \ u) = L(x,y,u / z). L(x,y,(z * u) * u) = L(x,y,u * (u * z)). L(x,y,(z \ ((u \ z) \ 1)) \ w) = L(x,y,(u \ (z * z)) * w). L(x,y,z * (u \ (1 / z))) = L(x,y,(z / u) * (1 / z)). L(x,y,(z / u) * (1 / z)) = L(x,y,z * (u \ (1 / z))). x \ y != L(z,u,w * (v5 \ 1)) | x * L(z,u,w / v5) = y. x * L(x \ 1,y,z / u) = a(x,z * (u \ 1),y). L(x,y,z * (u \ (w \ u))) = L(x,y,z / T(w,u)). L(x,y,z * T(u \ 1,w)) = L(x,y,z / T(u,u * w)). L(x,y,z / T(u,u * w)) = L(x,y,z * T(u \ 1,w)). L(x,y,z * (u \ (T(u,w) \ 1))) = L(x,y,(z / u) / T(u,w)). L(x,y,K(z,u \ 1)) = L(x,y,K(z,u)). L(x,y,((z \ 1) \ u) \ u) != w | L(x,y,T(z,u) \ 1) = w. L(x,y,T(z,u) \ 1) = L(x,y,T(z \ 1,u)). L(x,y,T(z \ 1,u)) = L(x,y,T(z,u) \ 1). L(x,y,z / u) = L(x,y,T(u \ z,z)). L(x,y,T(z \ u,u)) = L(x,y,u / z). L(x,y,T(z,u) \ 1) = L(x,y,T(1 / z,u)). L(x,y,T(1 / z,u)) = L(x,y,T(z,u) \ 1). L(x,y,z \ (u \ z)) = L(x,y,z / (z * u)). L(x,y,z / (z * u)) = L(x,y,z \ (u \ z)). L(x,y,z / T(u,w)) = L(x,y,z / T(u,u * w)). L(x,y,z / T(u,u * w)) = L(x,y,z / T(u,w)). L(x,y,(z \ u) * w) = L(x,y,((1 / z) * u) * w). L(x,y,((1 / z) * u) * w) = L(x,y,(z \ u) * w). L(x,y,((z \ 1) \ u) * w) = L(x,y,(z * u) * w). L(x,y,z / u) = L(x,y,z * (1 / u)). L(x,y,z * (1 / u)) = L(x,y,z / u). L(x,y,z * u) = L(x,y,z / (u \ 1)). L(x,y,z / (u \ 1)) = L(x,y,z * u). L(x,y,z \ (u \ (z \ 1))) = L(x,y,((u * z) \ 1) / z). L(x,y,((z * u) \ 1) / u) = L(x,y,u \ (z \ (u \ 1))). L(x,y,T(z,u)) = L(x,y,(u \ z) * u). L(x,y,(z \ u) * z) = L(x,y,T(u,z)). L(x,y,z / T(u \ 1,w)) = L(x,y,z * T(u,u * w)). L(x,y,z * (u / z)) = L(x,y,T(u,z)). x != L(y,z,T(u \ w,w)) | L(y,z,w / u) = x. L(x,y,z / u) = L(x,y,z * ((u \ z) / z)). L(x,y,z * ((u \ z) / z)) = L(x,y,z / u). x \ y != L(z,u,w * (v5 / w)) | x * L(z,u,T(v5,w)) = y. x * L(x \ 1,y,T(z,u)) = a(x,u * (z / u),y). a(x,y * (z / y),u) = x * L(x \ 1,u,T(z,y)). L(x,y,z * u) = L(x,y,T(u * z,z)). L(x,y,T(z * u,u)) = L(x,y,u * z). L(x,y,(1 / z) \ u) = L(x,y,z * u). L(x,y,z \ u) = L(x,y,(z \ 1) * u). L(x,y,(z \ 1) * u) = L(x,y,z \ u). L(x,y,((1 / z) \ u) \ w) = L(x,y,((u \ 1) * (z \ 1)) * w). L(x,y,((z \ 1) * (u \ 1)) * w) = L(x,y,((1 / u) \ z) \ w). L(x,y,T(z,u) * K(u,w)) = L(x,y,u * (z / T(u,w))). x != L(y,z,T(u,w) \ w) | L(y,z,w / u) = x. L(x,y,z / u) = L(x,y,(T(u,z) \ 1) * z). L(x,y,(T(z,u) \ 1) * u) = L(x,y,u / z). L(x,y,z * (u \ 1)) != w | L(x,y,z / u) = w. L(x,y,(z \ 1) / u) = L(x,y,z \ (u \ 1)). L(x,y,((z \ (u \ 1)) \ w) \ 1) = L(x,y,w \ ((1 / z) / u)). L(x,y,(a(z,u,u) * (w \ 1)) * v5) = L(x,y,w \ (a(z,u,u) * v5)). L(x,y,((z \ 1) \ u) \ w) = L(x,y,(z * u) \ w). L(x,y,T(z / (1 / u),w) \ v5) = L(x,y,T(z * u,w) \ v5). L(x,y,z * (u \ w)) = L(x,y,z * ((1 / u) * w)). L(x,y,z * ((1 / u) * w)) = L(x,y,z * (u \ w)). L(x,y,z * (u / w)) = L(x,y,z * (u * (w \ 1))). L(x,y,z * (u * (w \ 1))) = L(x,y,z * (u / w)). L(x,y,T(z * z,u)) = L(x,y,z * z). L(x,y,z * T(u,u * w)) = L(x,y,z * T(u,w)). (x * y) \ (T(y,x) * (x * z)) = L(z,x,y). L(x,y,z) = (y * z) \ (T(z,y) * (y * x)). x != T(y,z) * (z * u) | y * (T(z,y) * u) = x. x * (T(y,x) * z) = (y * x) * L(z,y,x). (x * y) * L(z,x,y) = y * (T(x,y) * z). (x * y) * L(L(z,x,y),u,w) = T(y,x) * (x * L(z,u,w)). x * L(1 / y,(z \ 1) \ 1,((z \ 1) \ 1) \ x) = (x / ((z \ 1) \ 1)) * (1 / (y / z)). (x * y) * L(z,x,y) != u | T(y,x) * (x * z) = u. (x * y) * z != y * (T(x,y) * u) | L(u,T(x,y),y) = z. L(x,T(y,z),z) = L(x,y,z). (x * y) * K(z,L(u,x,y)) = y * (T(x,y) * K(z,u)). L(x,y \ z,y) = L(x,z / y,y). L(x,y / z,z) = L(x,z \ y,z). L(x,T(y,K(z,u)) / z,T(z,u)) = L(x,z \ y,T(z,u)). L(x,K(y,z) * (u / y),y) = L(x,T(y,z) \ u,y). L(x \ ((y * (z * z)) / x),((x \ 1) * z) * z,((x \ 1) * z) * z) != u | (x \ y) / (1 / (((x \ 1) * z) * z)) = u. (x \ y) / (1 / (((x \ 1) * z) * z)) = L(x \ ((y * (z * z)) / x),((x \ 1) * z) * z,(x \ 1) * (z * z)). L(x \ ((y * (z * z)) / x),((x \ 1) * z) * z,(x \ 1) * (z * z)) = (x \ y) / (1 / (((x \ 1) * z) * z)). L(x,y,y \ (z / y)) != u | L(x,y,y \ (y \ z)) = u. L(x,y,T(z \ (u \ (z \ 1)),w)) = L(x,y,T((z * u) * z,w) \ 1). L(x,y,z \ T(u,z \ 1)) = L(x,y,u / z). L(x,y,(T(z,u \ (T(w,v5) \ 1)) \ 1) * (u \ T(1 / w,v5))) = L(x,y,(u \ T(1 / w,v5)) / z). L(x,y,z \ (y \ 1)) != u | L(x,y,y \ (z \ 1)) = u. L(x,y,z * (a(u,w,w) * v5)) = L(x,y,z * v5). L(x,y,z * (L(u,w,w) * v5)) = L(x,y,z * (u * v5)). L(x,y,z * (L(u,w,w) \ v5)) = L(x,y,z * (u \ v5)). L(x,y,(z * u) * w) = L(x,y,(z * L(u,v5,v5)) * w). L(x,y,(z * L(u,w,w)) * v5) = L(x,y,(z * u) * v5). a(x,T(y,y * z),u) != w | a(x,T(y,z),u) = w. a(x,T(y,z * y),u) != w | a(x,T(y,z),u) = w. a(x,y / z,u) = a(x,y * (z \ 1),u). a(x,y * (z \ 1),u) = a(x,y / z,u). a(x,y * ((z \ y) \ 1),u) != w | a(x,L(z,y,y),u) = w. a(x,L(y,z,z),u) = a(x,z / (y \ z),u). a(x,y / (z \ y),u) = a(x,L(z,y,y),u). a(x,y,z) = a(x,L(y,u,u),z). a(x,L(y,z,z),u) = a(x,y,u). a(x,T(y,z \ 1),u) = a(x,T(y,z),u). a(x,y,z) = a(x,T(y,x),z). a(x,T(y,x),z) = a(x,y,z). a(x,(x \ y) * K(x,z),u) = a(x,y / T(x,z),u). L(x,y,((z \ (u \ z)) * T(z \ (u \ z),w \ 1)) / w) = L(x,y,((z \ (u \ z)) * (1 / w)) / T(u,z)). L(x,y,((1 / z) * u) * w) != v5 | L(x,y,((z \ 1) * u) * w) = v5. L(x,y,((z \ 1) * u) * w) = L(x,y,(z \ u) * w). x != y * L(y \ 1,z,u) | a(y,u,z) = x. a(x,T(y,z),u) = a(x,z * (y / z),u). a(x,y * (z / y),u) = a(x,T(z,y),u). a(x,y * z,u) = a(x,T(z * y,y),u). a(x,T(y * z,z),u) = a(x,z * y,u). L(x,y,((z * u) * z) \ w) = L(x,y,(z * (u * z)) \ w). L(x,y,z * (u / w)) = L(x,y,z * (T(w,u) \ u)). L(x,y,z * (T(u,w) \ w)) = L(x,y,z * (w / u)). L(x,y,z * (u * (w \ 1))) != v5 | L(x,y,z * (u * (1 / w))) = v5. L(x,y,z * (u * (1 / w))) = L(x,y,z * (u / w)). L(x,y,z * ((1 / u) * w)) != v5 | L(x,y,z * (u \ w)) = v5. L(x,y,z * (u \ (w \ 1))) = L(x,y,z * ((1 / u) / w)). L(x,y,z * ((1 / u) / w)) = L(x,y,z * (u \ (w \ 1))). L(x,y,z \ (u * u)) = L(x,y,u * (u / z)). L(x,y,K(z,u) * T(w,z)) = L(x,y,T(z,u) * (w / z)). L(x,y,z * T(u,w)) = L(x,y,z * T(u,u \ w)). L(x,y,z * T(u,u \ w)) = L(x,y,z * T(u,w)). L(x,y,(z * u) * w) = L(x,y,((1 / z) \ u) * w). L(x,y,((1 / z) \ u) * w) = L(x,y,(z * u) * w). L(x,y,(((z * (u \ z)) \ z) * w) * v5) = L(x,y,(((z \ u) \ 1) \ w) * v5). L(x,y,((((z * u) \ 1) * z) * w) * v5) = L(x,y,(u \ (K(z,z \ 1) * w)) * v5). L(x,y,(z \ (K(u,u \ 1) * w)) * v5) = L(x,y,((((u * z) \ 1) * u) * w) * v5). L(x,y,z * (u * w)) = L(x,y,z * (u / (w \ 1))). L(x,y,z * (u / (w \ 1))) = L(x,y,z * (u * w)). L(x,y,z * u) = L(x,y,(w * ((1 / w) * z)) * u). L(x,y,(z * ((1 / z) * u)) * w) = L(x,y,u * w). L(x,y,z * ((u * w) * z)) = L(x,y,(z * u) * (w * z)). L(x,y,(z * u) * (w * z)) = L(x,y,z * ((u * w) * z)). L(x,y,z * T(u * w,u)) = L(x,y,z * (w * u)). L(x,y,(((z \ 1) * u) * L(w,z,z)) * v5) = L(x,y,((z \ u) * w) * v5). L(x,y * T(x * z,x),y * T(x * z,x)) != u | (x * ((x \ y) * z)) * ((x \ (x * ((x \ y) * z))) \ 1) = u. (x * ((x \ y) * z)) * ((x \ (x * ((x \ y) * z))) \ 1) = L(x,y * T(x * z,x),y * (z * x)). L(x,y,z * (u * (w \ v5))) = L(x,y,z * (u * ((1 / w) * v5))). L(x,y,z * (u * ((1 / w) * v5))) = L(x,y,z * (u * (w \ v5))). L(x,y,z * ((1 / u) \ w)) = L(x,y,z * (u * w)). L(x,y,z * (u * ((w \ 1) \ v5))) = L(x,y,z * (u * (w * v5))). L(x,y,z * (u \ w)) = L(x,y,z * ((u \ 1) * w)). L(x,y,z * ((u \ 1) * w)) = L(x,y,z * (u \ w)). L(x,y,z * (u * (w / v5))) = L(x,y,z * (u * (w * (v5 \ 1)))). L(x,y,z * (u * (w * (v5 \ 1)))) = L(x,y,z * (u * (w / v5))). L(x,y,z * T(u,w)) = L(x,y,z * (w * (u / w))). L(x,y,z * (u * (w / u))) = L(x,y,z * T(w,u)). x != L(y,z,u * T(w,v5)) | L(y,z,u * T(w,w \ v5)) = x. L(x,y,z * T(u,u \ w)) = L(x,y,z * (w * (u / w))). x * K(y,L(z,u,w)) != v5 | K(y,L(T(z,x),u,w)) * x = v5. K(x,L(T(y,z * u),z,u)) * (z * u) = u * (T(z,u) * K(x,y)). L(x,y,z * ((u / w) * v5)) = L(x,y,z * ((u * (w \ 1)) * v5)). L(x,y,z * ((u * (w \ 1)) * v5)) = L(x,y,z * ((u / w) * v5)). L(x,y,z * (T(u,w \ 1) \ v5)) = L(x,y,z * (T(u,w) \ v5)). L(x,y,z * (1 / u)) != w | L(x,y,z / u) = w. L(x,y,(z / u) / z) = L(x,y,z * (u \ (1 / z))). L(x,y,z * (u \ (1 / z))) = L(x,y,(z / u) / z). L(x,y,z * (u \ (1 / z))) != w | L(x,y,z \ (u \ z)) = w. L(x,y,z \ (u \ z)) = L(x,y,(z / u) / z). L(x,y,(z / u) / z) = L(x,y,z \ (u \ z)). L(x,y,z / T(u,u * w)) != v5 | L(x,y,z / T(u,w)) = v5. L(x,y,z / T(u,w)) = L(x,y,z * T(u \ 1,w)). L(x,y,z * T(u \ 1,w)) = L(x,y,z / T(u,w)). L(x,y,z * (u \ T(u \ 1,w))) = L(x,y,(z / u) / T(u,w)). x != L(y,z,u * T(w,w * v5)) | L(y,z,u * T(w,v5)) = x. L(x,y,z * T(u,w)) = L(x,y,z / T(u \ 1,w)). L(x,y,z / T(u \ 1,w)) = L(x,y,z * T(u,w)). L(x,y,z / T(u,w)) = L(x,y,z * T(1 / u,w)). L(x,y,z * T(1 / u,w)) = L(x,y,z / T(u,w)). L(x,y,z * (u / (u * w))) = L(x,y,z / T(w,u)). L(x,y,z * ((u \ w) \ w)) = L(x,y,z * (w * (u / w))). (x * L(x,y,z)) * L(L(u,x,L(x,y,z)),x,x) != w | L(L(x,y,z) * (x * u),x,x) = w. L(L(x,y,z) * (x * u),x,x) = T(L(x,y,z),x) * (x * L(u,x,x)). T(L(x,y,z),x) * (x * L(u,x,x)) = L(L(x,y,z) * (x * u),x,x). L(x,y,T(z \ (z / u),u * z)) = L(x,y,(z / u) / z). x != L(y,z,(u / w) / u) | L(y,z,u \ (w \ u)) = x. L(x,y,z \ (u \ z)) = L(x,y,T(z \ (z / u),u * z)). L(x,y,T(z \ (z / u),u * z)) = L(x,y,z \ (u \ z)). L(x,y,(z * u) \ u) = L(x,y,u \ (z \ u)). L(x,y,z \ 1) = L(x,y,y \ (z \ y)). L(x,y,y \ (z \ y)) = L(x,y,z \ 1). x != L(y,T(z,u),u) | L(y,z,u) = x. L(x,y,z \ 1) = L(x,T(y,z \ 1),T(y,z \ 1) \ (z \ T(y,z \ 1))). L(x,T(y,z \ 1),T(y,z \ 1) \ (z \ T(y,z \ 1))) = L(x,y,z \ 1). L(x,y,y \ ((z \ y) \ 1)) = L(x,y,((z / y) \ y) \ 1). L(x,y,((z / y) \ y) \ 1) = L(x,y,y \ ((z \ y) \ 1)). L(x,1 / y,(1 / y) \ (z \ y)) = L(x,1 / y,((y * y) \ z) \ 1). L(x,1 / y,((y * y) \ z) \ 1) = L(x,1 / y,(1 / y) \ (z \ y)). L(x,y \ z,(y \ z) \ (y \ (y / z))) = L(x,y \ z,((y \ z) * z) \ 1). L(x,y,T(z * (u * z),w) \ v5) = L(x,y,T((z * u) * z,w) \ v5). L(x,y,T((z * u) * z,w) \ v5) = L(x,y,T(z * (u * z),w) \ v5). L(x,y,z * ((u * w) * z)) != v5 | L(x,y,(z * u) * (w * z)) = v5. L(x,y,(z * u) * ((w \ 1) * z)) = L(x,y,z * ((u / w) * z)). L(x,y,z * ((u \ 1) * w)) != v5 | L(x,y,z * (u \ w)) = v5. L(x,y,(z * u) * (w \ z)) = L(x,y,z * ((u / w) * z)). L(x,y,(z \ (u \ 1)) * K(w,u * z)) = L(x,y,T(z \ (u \ 1),w)). L(x,y,(z \ a(u,w,w)) * v5) = L(x,y,z \ (a(u,w,w) * v5)). L(x,y,z \ (a(u,w,w) * v5)) = L(x,y,(z \ a(u,w,w)) * v5). L(x,y,(z \ u) * a(w,v5,v5)) = L(x,y,(z \ a(w,v5,v5)) * u). L(x,y,(z \ a(u,w,w)) * v5) = L(x,y,(z \ v5) * a(u,w,w)). x != L(y,z,u * a(w,v5,v5)) | L(y,z,u) = x. L(x,y,z \ u) = L(x,y,(z \ a(w,v5,v5)) * u). L(x,y,(z \ a(u,w,w)) * v5) = L(x,y,z \ v5). L(x,y,z * (T(u,w \ 1) \ v5)) != v6 | L(x,y,z * (T(u,w) \ v5)) = v6. L(x,y,(z \ a(u,w,w)) * (T(v5,v6) \ v7)) = L(x,y,z \ (T(v5,v6 \ 1) \ v7)). L(x,y,(z \ a(u,w,w)) / v5) = L(x,y,z \ (v5 \ 1)). L(x,y,((z * u) \ z) * w) = L(x,y,u \ w). L(x,y,z * (u / w)) != v5 | L(x,y,z * (T(w,u) \ u)) = v5. L(x,y,((z * u) \ z) * (T(w,v5) \ v5)) = L(x,y,u \ (v5 / w)). L(x,y,(z * u) \ z) = L(x,y,u \ 1). L(x,y,(z \ u) * w) = L(x,y,(u \ z) \ w). L(x,y,(z \ u) \ w) = L(x,y,(u \ z) * w). L(x,y,(z \ (z / u)) * w) = L(x,y,u \ w). L(x,y,(z / u) * w) = L(x,y,(u / z) \ w). L(x,y,(z / u) \ w) = L(x,y,(u / z) * w). L(x,y,z * ((u * w) \ u)) = L(x,y,w \ T(z,w \ 1)). L(x,y,z \ T(u,z \ 1)) = L(x,y,u * ((w * z) \ w)). L(x,y,z \ u) = L(x,y,(u \ z) \ 1). L(x,y,(z \ u) \ 1) = L(x,y,u \ z). L(x,y,z \ (z / u)) = L(x,y,u \ 1). L(x \ y,x,((x \ 1) \ z) \ 1) != u | L(z \ 1,1 / x,1 / x) \ (((z \ 1) * (1 / x)) * y) = u. L(x \ 1,1 / y,1 / y) \ (((x \ 1) * (1 / y)) * z) = L(y \ z,y,x \ (y \ 1)). L(x,y,((z \ 1) \ u) \ w) != v5 | L(x,y,(z * u) \ w) = v5. L(x,y,(z * u) \ 1) = L(x,y,u \ (z \ 1)). L(x,y,((z \ (u \ 1)) \ w) \ 1) != v5 | L(x,y,w \ ((1 / z) / u)) = v5. L(x,y,z \ ((1 / u) / w)) = L(x,y,z \ (u \ (w \ 1))). L(x,y,((1 / z) \ u) \ w) != v5 | L(x,y,((u \ 1) * (z \ 1)) * w) = v5. L(x,y,((z \ 1) * (u \ 1)) * w) = L(x,y,(z \ (1 / u)) * w). L(x,y,(z * u) \ w) = L(x,y,(u \ (z \ 1)) * w). L(x,y,(z \ (u \ 1)) * w) = L(x,y,(u * z) \ w). L(x,y,(z \ ((u \ z) \ 1)) \ w) != v5 | L(x,y,(u \ (z * z)) * w) = v5. L(x,y,(z \ (u * u)) * w) = L(x,y,(((z \ u) \ 1) \ u) * w). L(x,y,(((z \ u) \ 1) \ u) * w) = L(x,y,(z \ (u * u)) * w). x \ y != L(z,u,(w \ v5) \ v6) | x * L(z,u,(v5 \ w) * v6) = y. x * L(x \ 1,y,(z \ u) * w) = a(x,(u \ z) \ w,y). x \ y != L(z,u,(w / v5) \ v6) | x * L(z,u,(v5 / w) * v6) = y. x * L(x \ 1,y,(z / u) * w) = a(x,(u / z) \ w,y). L(x,y,(z * y) \ 1) != u | L(R(x,z,y),y,y) = u. L(R(x,y,z),z,z) = L(x,z,z \ (y \ 1)). x \ y != L(z,u,(w * v5) \ 1) | x * L(z,u,v5 \ (w \ 1)) = y. x * L(x \ 1,y,z \ (u \ 1)) = a(x,(u * z) \ 1,y). x != L(y,z,u \ w) | L(y,z,(u \ 1) * w) = x. L(x,y,(y \ 1) * (z \ 1)) = L(R(x,z,y),y,y). L(R(x,y,z),z,z) = L(x,z,(z \ 1) * (y \ 1)). x != L(y,z,((u * w) * u) \ v5) | L(y,z,(u * (w * u)) \ v5) = x. L(x,y,(z * (u * z)) \ w) = L(x,y,(z \ ((z * u) \ 1)) * w). L(x,y,(z \ ((z * u) \ 1)) * w) = L(x,y,(z * (u * z)) \ w). L(x,y,(z \ T(u \ w,w)) * v5) = L(x,y,((u / w) * z) \ v5). L(x,y,z \ T(u,z \ 1)) != w | L(x,y,u / z) = w. L(x,y,z / u) = L(x,y,z * ((w * u) \ w)). L(x,y,z * ((u * w) \ u)) = L(x,y,z / w). L(x,y,z * (u \ w)) = L(x,y,z / (w \ u)). L(x,y,z / (u \ w)) = L(x,y,z * (w \ u)). L(x,y,z * (u \ (u \ (u / w)))) = L(x,y,z / (w * u)). L(T(x,y * (y / z)),y / (y \ z),y / (y \ z)) != u | T(x,1 / ((y * y) / z)) = u. T(x,1 / ((y * y) / z)) = L(T(x,y * (y / z)),y / (y \ z),y * (z \ y)). L(T(x,y * (y / z)),y / (y \ z),y * (z \ y)) = T(x,1 / ((y * y) / z)). a(x,(y \ z) * u,w) = a(x,(z \ y) \ u,w). a(x,(y \ z) \ u,w) = a(x,(z \ y) * u,w). a(x,(y / z) * u,w) = a(x,(z / y) \ u,w). a(x,(y / z) \ u,w) = a(x,(z / y) * u,w). a(x,y \ (z \ 1),u) = a(x,(z * y) \ 1,u). a(x,(y * z) \ 1,u) = a(x,z \ (y \ 1),u). a(x,(y * z) \ 1,u) != w | a(x,z \ (y \ 1),u) = w. L(x,y,z * (u * (1 / ((w \ u) * u)))) = L(x,y,z / ((w \ 1) * u)). L(x,y,z \ (u * (w \ 1))) = L(x,y,z \ (u / w)). L(x,y,((z \ 1) * u) * w) != v5 | L(x,y,(z \ u) * w) = v5. L(x,y,(z \ (u \ 1)) * w) = L(x,y,(z \ (1 / u)) * w). L(x,y,(z \ (1 / u)) * w) = L(x,y,(z \ (u \ 1)) * w). x != L(y,z,(u \ (w \ 1)) * v5) | L(y,z,(w * u) \ v5) = x. L(x,y,(z * u) \ w) = L(x,y,(u \ (1 / z)) * w). L(x,y,(z \ (1 / u)) * w) = L(x,y,(u * z) \ w). L(x,y,(z * (z / u)) * w) = L(x,y,(u \ (z * z)) * w). L(x,y,(z \ (u * u)) * w) = L(x,y,(u * (u / z)) * w). L(x,y,z) * (x * L(u,x,x)) = L(L(x,y,z) * (x * u),x,x). L(L(x,y,z) * (x * u),x,x) = L(x,y,z) * (x * L(u,x,x)). L(L(x,y,z) * (x * u),x,x) = L(x,y,z) * ((1 / x) \ u). x != L(y,z,(1 / u) \ w) | L(y,z,u * w) = x. L(x,1 / y,y * (z \ y)) = L(x,1 / y,((y * y) \ z) \ 1). L(x,1 / y,((y * y) \ z) \ 1) = L(x,1 / y,y * (z \ y)). x != L(y,1 / z,u) | L(y,z \ 1,u) = x. L(x,y \ 1,y * (z \ y)) = L(x,1 / y,((y * y) \ z) \ 1). L(x,1 / y,((y * y) \ z) \ 1) = L(x,y \ 1,y * (z \ y)). L(x,y,(z \ u) \ 1) != w | L(x,y,u \ z) = w. L(x,1 / y,z \ (y * y)) = L(x,y \ 1,y * (z \ y)). L(x,y,z \ (u * u)) != w | L(x,y,u * (u / z)) = w. L(x,1 / y,y * (y / z)) = L(x,y \ 1,y * (z \ y)). L(x,1 / y,z) != u | L(x,y \ 1,z) = u. L(x,y \ 1,y * (y / z)) = L(x,y \ 1,y * (z \ y)). L(x,y,T((z * u) * z,w) \ 1) != v5 | L(x,y,T(z \ (u \ (z \ 1)),w)) = v5. L(x,y,T(z \ (u \ (z \ 1)),w)) = L(x,y,T(z * (u * z),w) \ 1). L(x,y,(z \ (u \ 1)) * w) != v5 | L(x,y,(u * z) \ w) = v5. L(x,y,(z * u) \ K(w,z * u)) = L(x,y,T(u \ (z \ 1),w)). L(x,y,T(z * u,w) \ 1) = L(x,y,T(u \ (z \ 1),w)). L(x,y,T(z \ (u \ 1),w)) = L(x,y,T(u * z,w) \ 1). L(x,y,z * (u * (1 / w))) != v5 | L(x,y,z * (u / w)) = v5. L(x,y,z * (u / ((w \ u) * u))) = L(x,y,z / ((w \ 1) * u)). L(x,y,z * (u \ (u / (w \ u)))) = L(x,y,z / ((w \ 1) * u)). L(x,y,z * (u \ w)) = L(x,y,z / ((w \ 1) * u)). L(x,y,z / ((u \ 1) * w)) = L(x,y,z * (w \ u)). L(x,y,z / (u * w)) = L(x,y,z * (w \ (1 / u))). L(x,y,z * (u \ (1 / w))) = L(x,y,z / (w * u)). L(x,y,(z \ 1) * u) != w | L(x,y,z \ u) = w. L(x,y,z \ (u \ (1 / w))) = L(x,y,(z \ 1) / (w * u)). L(x,y,(z \ 1) / (u * w)) = L(x,y,z \ (w \ (1 / u))). L(x,y,z * (u \ (1 / w))) != v5 | L(x,y,z * (u \ (w \ 1))) = v5. L(x,y,z * (u \ (w \ 1))) = L(x,y,z / (w * u)). L(x,y,z * (u \ (w \ 1))) != v5 | L(x,y,z * ((1 / u) / w)) = v5. L(x,y,z * ((1 / u) / w)) = L(x,y,z / (w * u)). L(x,y,z \ ((1 / u) / w)) = L(x,y,(z \ 1) / (w * u)). L(x,y,(z \ 1) / (u * w)) = L(x,y,z \ ((1 / w) / u)). L(x,y,(z \ 1) / u) != w | L(x,y,z \ (u \ 1)) = w. L(x,y,z \ ((u * w) \ 1)) = L(x,y,z \ (w \ (1 / u))). L(x,y,z \ ((u * w) \ 1)) = L(x,y,z \ ((1 / w) / u)). L(x,y,z \ ((1 / u) / w)) = L(x,y,z \ ((w * u) \ 1)). L(x,y,z \ ((1 / u) / w)) != v5 | L(x,y,z \ (u \ (w \ 1))) = v5. L(x,y,z \ (u \ (w \ 1))) = L(x,y,z \ ((w * u) \ 1)). L(x,y,z \ ((u * w) \ 1)) = L(x,y,z \ (w \ (u \ 1))). L(x,y,z \ ((u * w) \ 1)) != v5 | L(x,y,z \ (w \ (1 / u))) = v5. L(x,y,z \ (u \ (1 / w))) = L(x,y,z \ (u \ (w \ 1))). L(x,y,z \ (u \ w)) = L(x,y,z \ (u \ ((w \ 1) \ 1))). L(x,y,z \ (u \ ((w \ 1) \ 1))) = L(x,y,z \ (u \ w)). L(x,y,z \ (u \ T(w \ 1,v5))) = L(x,y,z \ (u \ T(1 / w,v5))). L(x,y,z \ (u \ T(1 / w,v5))) = L(x,y,z \ (u \ T(w \ 1,v5))). L(x,y,(z * L(u,w,w)) * v5) != v6 | L(x,y,(z * u) * v5) = v6. L(x,y,(((z \ 1) * u) * w) * v5) = L(x,y,((z \ u) * w) * v5). x != L(y,z,((u \ 1) \ w) * v5) | L(y,z,(u * w) * v5) = x. L(x,y,((z \ u) * w) * v5) = L(x,y,(((z * (u \ z)) \ z) * w) * v5). L(x,y,(((z * (u \ z)) \ z) * w) * v5) = L(x,y,((z \ u) * w) * v5). L(x,T(y,z \ 1),T(y,z \ 1) \ ((z \ 1) * T(y,z))) = L(x,y,z \ 1). L(x,y \ z,((y / z) \ z) \ 1) = L(x,y \ z,((y \ z) * z) \ 1). L(x,y \ z,z \ (y / z)) = L(x,y \ z,((y \ z) * z) \ 1). L(x,y \ z,((y \ z) * z) \ 1) = L(x,y \ z,z \ (y / z)). L(x,y,(z * u) \ 1) != w | L(x,y,u \ (z \ 1)) = w. L(x,y \ z,z \ ((y \ z) \ 1)) = L(x,y \ z,z \ (y / z)). L(x,T(y,z \ 1),(z \ 1) * K(y,z)) = L(x,y,z \ 1). L(x,T(y,z \ 1),z \ K(y,z)) = L(x,y,z \ 1). L(x,y,(z \ a(u,w,w)) * v5) != v6 | L(x,y,z \ v5) = v6. L(x,y,z \ (T(u,w) \ v5)) = L(x,y,z \ (T(u,w \ 1) \ v5)). L(x,y,z \ (T(u,w \ 1) \ v5)) = L(x,y,z \ (T(u,w) \ v5)). T(x,y * (z * (u * ((1 / w) / v5)))) != v6 | T(x,y * (z * (u / (v5 * w)))) = v6. T(x,y * (z * ((u \ 1) / (w * v5)))) = T(x,y * (z / ((v5 \ (w \ 1)) \ u))). T(x,y * (z / ((u \ (w \ 1)) \ v5))) = T(x,y * (z * ((v5 \ 1) / (w * u)))). T(T(x,y * (z / u)),K(w,y * (z / u))) = T(x,T(y * (z * (u \ 1)),w)). T(x,T(y * (z / u),w)) = T(x,T(y * (z * (u \ 1)),w)). T(x,T(y * (z * (u \ 1)),w)) = T(x,T(y * (z / u),w)). T(x,T(T(y * z,z) * (u \ 1),w)) = T(x,T(K(y,z \ 1) * ((y * z) / u),w)). T(x,T(K(y,z \ 1) * ((y * z) / u),w)) = T(x,T(T(y * z,z) * (u \ 1),w)). K(x,(y / z) / u) / (u * (z / y)) = T(((z \ 1) \ (y \ 1)) \ (1 / u),x). T(((x \ 1) \ (y \ 1)) \ (1 / z),u) = K(u,(y / x) / z) / (z * (x / y)). T(1 / (x * (y / z)),u) = K(u,(z / y) / x) / (x * (y / z)). K(x,(y / z) / u) / (u * (z / y)) = T(1 / (u * (z / y)),x). T(x,y * (z * ((u * (1 / w)) * v5))) != v6 | T(x,y * (z * ((u / w) * v5))) = v6. T(x,y * ((z \ 1) * ((z / u) * w))) = T(x,y * ((u \ (w * (z \ 1))) * z)). T(x,y * ((z \ (u * (w \ 1))) * w)) = T(x,y * ((w \ 1) * ((w / z) * u))). T(x,y * (z \ ((z / u) * w))) = T(x,y * ((u \ (w * (z \ 1))) * z)). T(x,y * ((z \ (u * (w \ 1))) * w)) = T(x,y * (w \ ((w / z) * u))). ((x * y) * (a(z,u,u) * w)) / (y * (a(z,u,u) * w)) = R(x,a(z,u,u) * y,w). T(x,T(y,z * (u / w)) * (z * (u / w))) = T(x,(z * (u * (1 / w))) * y). T(x,(y * (z / u)) * w) = T(x,(y * (z * (1 / u))) * w). T(x,(y * (z * (1 / u))) * w) = T(x,(y * (z / u)) * 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 * ((1 / T(z,u / w)) * (u / w))) = T(x,y * ((u * (1 / w)) / z)). T(x,y * ((z / u) / w)) = T(x,y * ((z * (1 / u)) / w)). T(x,y * ((z * (1 / u)) / w)) = T(x,y * ((z / u) / w)). T(x,y * (((z \ 1) * u) / w)) != v5 | T(x,y * ((z \ u) / w)) = v5. T(x,y * ((z \ (1 / u)) / w)) = T(x,y * (((z \ 1) / u) / w)). T(x,y * (((z \ 1) / u) / w)) = T(x,y * ((z \ (1 / u)) / w)). T(x,(y \ (y \ z)) * (z * (y \ (y \ (y \ (y \ z)))))) = T(x,(y \ (y \ z)) \ 1). T(x,y * ((z * u) \ (1 / (z * u)))) = T(x,y * ((u \ (z \ (u \ 1))) / z)). T(x,y * ((z \ (u \ (z \ 1))) / u)) = T(x,y * ((u * z) \ (1 / (u * z)))). T(x,y * ((z \ (u \ (z \ 1))) / u)) != w | T(x,(u * z) \ ((u * z) \ y)) = w. T(x,y * (z * ((u * (u * (w / z))) * z))) = T(x,y * ((z * (u * u)) * w)). T(x,y * (T(z,u) * ((u * w) * w))) = T(x,y * ((u * (w * w)) * z)). T(x,y * (z * ((u * w) * w))) != v5 | T(x,y * (z * (u * (w * w)))) = v5. T(x,y * (T(z,u) * (u * (w * w)))) = T(x,y * ((u * (w * w)) * z)). T(x,((y * (z * z)) \ u) * (T(T(y * (z * z),w),y) * (y * (z * z)))) = T(x,(y * (z * z)) * (u * K(y * (z * z),w))). L(L(x,y,a(z,u,u)),a(z,u,u) * y,w) = L(x,y,a(z,u,u) * w). L(x,a(y,z,z) * u,w) = L(x,u,a(y,z,z) * w). x != L(y,z,a(u,w,w) * v5) | L(y,z,v5) = x. L(x,y,z) = L(x,a(u,w,w) * y,z). L(x,a(y,z,z) * u,w) = L(x,u,w). L(x,L(y,z,z),u) = L(x,y,u). L(x,L(y,z,y),u) = L(x,y,u). L(x,a(y,y,z) * u,w) = L(x,u,w). L(x,L(y,z,z) * u,w) = L(x,y * u,w). x != L(y,z,L(u,w,w)) | L(y,z,u) = x. L(x,y,z) = L(x,L(y,u,u),L(z,w,w)). L(x,L(y,z,z),L(u,w,w)) = L(x,y,u). L(x,y \ z,u) = L(x,(1 / y) * z,u). L(x,(1 / y) * z,u) = L(x,y \ z,u). L(x,(y \ 1) \ z,u) = L(x,y * z,u). L(x,T(y,z \ 1),u) = L(x,T(y,z),u). L(x,y / z,u) = L(x,y * (z \ 1),u). L(x,y * (z \ 1),u) = L(x,y / z,u). L(x,y * (y * z),u) = L(x,(y * y) * z,u). L(x,(y * y) * z,u) = L(x,y * (y * z),u). L(x,y * (y / z),u) = L(x,(z \ y) * y,u). L(x,(y \ z) * z,u) = L(x,z * (z / y),u). L(x,(y \ z) * L(u,y,y),w) = L(x,((1 / y) * z) * u,w). L(x,((y \ 1) * z) * L(u,y,y),w) = L(x,(((y \ 1) \ 1) \ z) * u,w). L(x,T(y / z,y),u) = L(x,z \ y,u). x != y | y * 1 = x. L(x,y,z) * 1 = L(x,a(u,u,w) * y,z). L(x,a(y,y,z) * u,w) = L(x,u,w) * 1. L(x,y * a(z,z,u),w) = L(x,y,w). L(x,y * L(z,u,u),w) = L(x,y * z,w). L(x,y * (z * L(u,w,w)),v5) = L(x,y * (z * u),v5). x != L(y,z,(1 / u) * w) | L(y,z,u \ w) = x. L(x,y \ z,u \ w) = L(x,(1 / y) * z,(1 / u) * w). L(x,(1 / y) * z,(1 / u) * w) = L(x,y \ z,u \ w). L(x,(y \ z) / y,u) = L(x,y \ (z / y),u). L(x,y / z,u) = L(x,T(z,y) \ y,u). L(x,T(y,z) \ z,u) = L(x,z / y,u). L(x,(((y \ 1) \ 1) \ z) * u,w) = L(x,((z \ 1) * y) \ u,w). L(x,(y \ 1) \ z,u) != w | L(x,(1 / y) \ z,u) = w. L(x,(1 / y) \ z,u) = L(x,y * z,u). L(x,(y * z) * z,u) = L(x,z * (z * y),u). L(x,T(y,z \ 1),z \ K(y,z)) != u | L(x,y,z \ 1) = u. L(x,y,z \ 1) = L(x,T(y,z),z \ K(y,z)). L(x,T(y,z),z \ K(y,z)) = L(x,y,z \ 1). L(x,T(y,z),z) != u | L(x,y,z) = u. L(x,y,z \ 1) = L(x,T(y,z),z \ 1). L(x,T(y,z),z \ 1) = L(x,y,z \ 1). L(x,y / z,y) = L(x,z \ y,y). x != L(L(y,z \ u,z),u,z \ 1) | L(y,z,z) = x. L(x,y,y) = L(L(x,y \ (z \ (y \ 1)),y),(y \ 1) / z,y \ 1). L(L(x,y \ (z \ (y \ 1)),y),(y \ 1) / z,y \ 1) = L(x,y,y). x \ y != L(z,T(u,w) \ w,v5) | x * L(z,w / u,v5) = y. x * L(x \ 1,y / z,u) = a(x,u,T(z,y) \ y). a(x,y,T(z,u) \ u) = x * L(x \ 1,u / z,y). L(x,y \ z,u) = L(x,(y \ 1) * z,u). L(x,(y \ 1) * z,u) = L(x,y \ z,u). L(x,T(y,z),u) = L(x,z * (y / z),u). L(x,y * (z / y),u) = L(x,T(z,y),u). L(x,(K(y,z) * u) \ w,v5) = L(x,(u \ K(y,z)) * w,v5). L(x,T(y,z),(K(y,u) * z) \ 1) = L(x,y,(K(y,u) * z) \ 1). x != L(y,z,(u \ 1) * w) | L(y,z,u \ w) = x. L(x,y \ z,u \ w) = L(x,(y \ 1) * z,(u \ 1) * w). L(x,(y \ 1) * z,(u \ 1) * w) = L(x,y \ z,u \ w). L(x,y * (z \ 1),u) != w | L(x,y / z,u) = w. L(x,(y \ 1) / z,u) = L(x,y \ (z \ 1),u). L(x,((y \ (z \ 1)) \ u) \ 1,w) = L(x,u \ ((1 / y) / z),w). x != L(y,T(z,u),T(z,u)) | L(y,z,z) = x. L(x,y,y) = L(x,z * (y / z),T(y,z)). L(x,y * (z / y),T(z,y)) = L(x,z,z). L(x,(y \ z) * y,u) = L(x,T(z,y),u). L(x,y * (z / y),T(z,y)) != u | L(x,z,z) = u. L(x,(y \ z) * u,w) = L(x,((1 / y) * z) * u,w). L(x,((1 / y) * z) * u,w) = L(x,(y \ z) * u,w). L(x,(y / z) * u,w) = L(x,(y * (z \ 1)) * u,w). L(x,(y * (z \ 1)) * u,w) = L(x,(y / z) * u,w). L(x,a(y,y,z) * u,w) != v5 | v5 = L(x,u,w). L(x,a(y,y,z) * u,w) != v5 | L(x,u,w) = v5. x \ y != L(z,u * L(w,v5,v5),v6) | x * L(z,u * w,v6) = y. x * L(x \ 1,y * z,u) = a(x,u,y * L(z,w,w)). a(x,y,z * L(u,w,w)) = x * L(x \ 1,z * u,y). L(x,y * (z / u),w) = L(x,y * (z * (u \ 1)),w). L(x,y * (z * (u \ 1)),w) = L(x,y * (z / u),w). x != L(y,z,(u * u) * w) | L(y,z,u * (u * w)) = x. L(x,y * (y * z),u * (u * w)) = L(x,(y * y) * z,(u * u) * w). L(x,(y * y) * z,(u * u) * w) = L(x,y * (y * z),u * (u * w)). L(x,y / z,z) != u | L(x,z \ y,z) = u. L(x,y \ (y \ z),y) = L(x,y \ (z / y),y). L(x,y \ (z / y),y) = L(x,y \ (y \ z),y). x != L(y,z \ (u \ 1),w) | L(y,z \ (1 / u),w) = x. L(x,y \ (1 / z),u) = L(x,(y \ 1) / z,u). L(x,(y \ 1) / z,u) = L(x,y \ (1 / z),u). L(x,y * L(z,u,u),w) != v5 | L(x,y * z,w) = v5. a(x,y,z / u) = a(x,y,T(u,z) \ z). a(x,y,T(z,u) \ u) = a(x,y,u / z). a(x,y,z \ T(u,z)) = a(x,y,u / z). a(x,y,z \ u) = a(x,y,u / T(z,u)). a(x,y,z / T(u,z)) = a(x,y,u \ z). a(x,y,z * (u \ 1)) = a(x,y,z / u). a(x,y,z \ (u / z)) = a(x,y,(z \ u) / z). a(x,y,(z \ u) / z) = a(x,y,z \ (u / z)). a(x,y,z * u) = a(x,y,(z \ 1) \ u). a(x,y,(z \ 1) \ u) = a(x,y,z * u). a(x,y,(1 / z) * u) = a(x,y,z \ u). a(x,y,(z * z) * u) = a(x,y,z * (z * u)). a(x,y,(1 / z) * (z * u)) = a(x,y,u). a(x,y,(z * z) \ u) = a(x,y,z \ (z \ u)). a(x,y,L(z,u,u)) = a(x,y,z). a(x,y,T(z,u \ 1)) = a(x,y,T(z,u)). a(x,y,1 / (T(z,u) / u)) = a(x,y,T(u / z,u)). L(x,((1 / y) * z) * u,w) != v5 | L(x,(y \ z) * u,w) = v5. L(x,(y \ (z \ 1)) * u,w) = L(x,((1 / y) / z) * u,w). L(x,((1 / y) / z) * u,w) = L(x,(y \ (z \ 1)) * u,w). L(x,y * (z * ((u \ w) \ 1)),v5) != v6 | L(x,y * (z * ((w \ 1) * u)),v5) = v6. L(x,y * (z * ((u \ 1) * w)),v5) = L(x,y * (z / (w \ u)),v5). L(x,y \ (z * z),u) = L(x,z * (z / y),u). L(x,(1 / y) \ z,u) != w | L(x,y * z,u) = w. L(x,y * ((z \ 1) \ u),w) != v5 | L(x,y * (z * u),w) = v5. L(x,T(y * z,z),u) != w | L(x,z * y,u) = w. L(x,y * (z / u),w) != v5 | L(x,y * (z * (u \ 1)),w) = v5. L(x,(y \ 1) \ z,u) != w | L(x,y * z,u) = w. L(x,T(y,z),u) != w | L(x,z * (y / z),u) = w. L(x,y * z,z) != u | L(x,z * y,z) = u. L(x,(y * z) * z,u) != w | L(x,z * (z * y),u) = w. L(x,(y \ ((z \ y) \ 1)) \ u,w) != v5 | L(x,(z \ (y * y)) * u,w) = v5. a(x,y,1 / z) != u | a(x,y,z \ 1) = u. a(x,y,(T(z,u) / u) \ 1) = a(x,y,T(u / z,u)). L(x,y * (z * (u \ w)),v5) = L(x,y * (z * ((1 / u) * w)),v5). L(x,y * (z * ((1 / u) * w)),v5) = L(x,y * (z * (u \ w)),v5). L(x,y * (z * ((u \ 1) \ w)),v5) = L(x,y * (z * (u * w)),v5). L(x,y * (z \ u),w) = L(x,y * ((z \ 1) * u),w). L(x,y * ((z \ 1) * u),w) = L(x,y * (z \ u),w). L(x,y * (z * (u / w)),v5) = L(x,y * (z * (u * (w \ 1))),v5). L(x,y * (z * (u * (w \ 1))),v5) = L(x,y * (z * (u / w)),v5). L(x,y * (z * (u \ 1)),w) != v5 | L(x,y * (z / u),w) = v5. L(x,y * ((z \ 1) / u),w) = L(x,y * (z \ (u \ 1)),w). a(x,y,z * u) = a(x,y,z * L(u,w,w)). a(x,y,z * L(u,w,w)) = a(x,y,z * u). a(x,y,z \ u) = a(x,y,(z \ 1) * u). a(x,y,(z \ 1) * u) = a(x,y,z \ u). a(x,y,z * (T(u,u \ w) / w)) = a(x,y,z * (w \ u)). a(x,y,(z \ 1) * (z * u)) = a(x,y,u). a(x,y,z * ((1 / z) * u)) = a(x,y,u). a(x,y,z * (u / z)) = a(x,y,T(u,z)). a(x,y,z * (1 / u)) = a(x,y,z / u). a(x,y,z * u) = a(x,y,T(u * z,u)). a(x,y,T(z * u,z)) = a(x,y,u * z). a(x,y,z / T(u,z \ 1)) = a(x,y,(1 / u) * z). a(x,y,z / (T(z,z \ 1) * u)) = a(x,y,(1 / (u * z)) * z). L(x,(y * y) \ z,(1 / u) * w) = L(x,y \ (y \ z),u \ w). x != L(y,z \ u,z \ u) | L(y,u / z,u / z) = x. L(x,y / z,y / z) = L(x,(z \ 1) * y,(z \ 1) * y). L(x,(y \ 1) * z,(y \ 1) * z) = L(x,z / y,z / y). L(x,T(y,z),z \ K(y,u)) = L(x,y,(K(y,u) * z) \ 1). L(x,T(y,z),z \ K(y,u)) = L(x,y,z \ K(y,u)). L(x,T(y,z),z \ K(y,z)) != u | L(x,y,z \ 1) = u. L(x,y,z \ 1) = L(x,y,z \ K(y,z)). L(x,y,z \ K(y,z)) = L(x,y,z \ 1). L(x,y * (z * ((1 / u) * w)),v5) != v6 | L(x,y * (z * ((u \ 1) * w)),v5) = v6. L(x,y * (z * ((u \ 1) * w)),v5) = L(x,y * (z * (u \ w)),v5). L(x,y * ((z * (u \ 1)) * w),v5) = L(x,y * (T(w,z * (u \ 1)) * (z / u)),v5). L(x,y * (T(z,u * (w \ 1)) * (u / w)),v5) = L(x,y * ((u * (w \ 1)) * z),v5). L(x,y * T(z,u),w) = L(x,y * (u * (z / u)),w). L(x,y * (z * (u / z)),w) = L(x,y * T(u,z),w). L(x,y * (z * u),w) = L(x,y * T(u * z,u),w). L(x,y * T(z * u,z),w) = L(x,y * (u * z),w). L(x,y * (z * T(1 / z,u)),w) = L(x,y * T(K(u,z \ 1),z),w). L(x,y * T(K(z,u \ 1),u),w) = L(x,y * (u * T(1 / u,z)),w). L(x,(y / z) * (u * (z / u)),w) = L(x,y * K(z,u),w). L(x,y * K(z,z \ u),w) = L(x,y * K(u,z),w). a(x,y,(1 / z) / (z \ u)) = a(x,y,(1 / (u * z)) * z). L(x,(y * y) \ z,(u * u) \ w) = L(x,y \ (y \ z),u \ (u \ w)). L(x,y * (z * ((u \ 1) * w)),v5) != v6 | L(x,y * (z / (w \ u)),v5) = v6. L(x,y * (z / (u \ w)),v5) = L(x,y * (z * (w \ u)),v5). L(x,y * (z * u),w) = L(x,y * (z * (v5 \ ((v5 \ 1) \ u))),w). L(x,y * (z * (u \ ((u \ 1) \ w))),v5) = L(x,y * (z * w),v5). L(x,y * (z * (((u * (w \ u)) \ u) * v5)),v6) = L(x,y * (z * (((u \ w) \ 1) \ v5)),v6). L(x,y * (z * ((((u * w) \ 1) * u) * v5)),v6) = L(x,y * (z * (w \ (K(u,u \ 1) * v5))),v6). L(x,y * (z * (u \ (K(w,w \ 1) * v5))),v6) = L(x,y * (z * ((((w * u) \ 1) * w) * v5)),v6). x \ y != L(z,u * (w / (v5 \ v6)),v7) | x * L(z,u * (w * (v6 \ v5)),v7) = y. x * L(x \ 1,y * (z * (u \ w)),v5) = a(x,v5,y * (z / (w \ u))). L(x,y * (z * (u * ((1 / u) * w))),v5) = L(x,y * (z * w),v5). L(x,y * (z * (((u \ 1) * w) * L(v5,u,u))),v6) = L(x,y * (z * ((u \ w) * v5)),v6). L(x,y * T(K(z,u \ 1),u),w) = L(x,y * K(u,u \ z),w). L(x,y * K(z,1 / u),w) = L(x,y * K(u,u \ z),w). L(x,y * K(z,z \ u),w) = L(x,y * K(u,1 / z),w). L(x,y * K(z,z \ u),w) = L(x,y * K(u,z \ 1),w). L(x,y * K(z,u \ 1),w) = L(x,y * K(u,u \ z),w). x != L(y,z * K(u,u \ w),v5) | L(y,z * K(w,u),v5) = x. L(x,y * K(z,u),w) = L(x,y * K(z,u \ 1),w). L(x,y * K(z,u \ 1),w) = L(x,y * K(z,u),w). L(x,y * K(z,u \ 1),w) = L(x,y * K(u,z),w). a(x,y,z * (u * (w \ v5))) = a(x,y,z * (u / (v5 \ w))). a(x,y,z * (u / (w \ v5))) = a(x,y,z * (u * (v5 \ w))). a(x,y,z * (1 / u)) != w | a(x,y,z / u) = w. a(x,y,z / (u \ w)) = a(x,y,z * (1 * (w \ u))). a(x,y,z * (1 * (u \ w))) = a(x,y,z / (w \ u)). a(x,y,z * (u \ w)) = a(x,y,z / (w \ u)). a(x,y,z / (u \ w)) = a(x,y,z * (w \ u)). a(x,y,(1 / z) / (z \ u)) != w | a(x,y,(1 / (u * z)) * z) = w. a(x,y,(1 / (z * u)) * u) = a(x,y,(1 / u) * (z \ u)). ((1 / ((1 / x) \ y)) \ a(1 / ((1 / x) \ y),x,1 * (y \ (1 / x)))) * x = x / ((y * x) \ 1). x != a(y,z,(1 / u) * w) | a(y,z,u \ w) = x. a(x,y,z \ (u \ z)) = a(x,y,(1 / (u * z)) * z). a(x,y,(1 / (z * u)) * u) = a(x,y,u \ (z \ u)). a(x,y,(1 / z) * u) != w | a(x,y,z \ u) = w. a(x,y,(z * u) \ u) = a(x,y,u \ (z \ u)). x != L(y,(((z \ 1) \ 1) \ u) * w,v5) | L(y,((u \ 1) * z) \ w,v5) = x. L(x,((y \ 1) * z) \ u,w) = L(x,((z \ 1) * y) * L(u,z,z),w). L(x,((y \ 1) * z) * L(u,y,y),w) = L(x,((z \ 1) * y) \ u,w). x != L(y,z,(((u \ 1) * w) * v5) * v6) | L(y,z,((u \ w) * v5) * v6) = x. L(x,y,(((z * u) \ z) * w) * v5) = L(x,y,(u \ (K(z,z \ 1) * w)) * v5). L(x,y,(z \ (K(u,u \ 1) * w)) * v5) = L(x,y,(((u * z) \ u) * w) * v5). L(x,y,((z \ u) * K(w,w \ 1)) * v5) = L(x,y,(((w * z) \ w) * u) * v5). L(x,y,(z \ u) * (w * K(v5,v5 \ 1))) = L(x,y,(((v5 * z) \ v5) * u) * w). L(x,y,z * (u * K(w,w \ 1))) != v5 | L(x,y,z * u) = v5. L(x,y,(z \ u) * w) = L(x,y,(((v5 * z) \ v5) * u) * w). L(x,y,(((z * u) \ z) * w) * v5) = L(x,y,(u \ w) * v5). L(x,y,(((z * (u \ z)) \ z) * w) * v5) != v6 | L(x,y,((z \ u) * w) * v5) = v6. L(x,y,((z \ u) * w) * v5) = L(x,y,((u \ z) \ w) * v5). L(x,y,((z \ u) \ w) * v5) = L(x,y,((u \ z) * w) * v5). L(x,y,z * ((u \ w) \ v5)) = L(x,y,((w \ u) * v5) * T(z,(u \ w) \ v5)). L(x,y,((z \ u) * w) * T(v5,(u \ z) \ w)) = L(x,y,v5 * ((u \ z) \ w)). L(x,y,z \ ((u \ w) \ v5)) = L(x,y,((w \ u) * v5) * (T(z,(u \ w) \ v5) \ 1)). L(x,y,((z \ u) * w) * (T(v5,(u \ z) \ w) \ 1)) = L(x,y,v5 \ ((u \ z) \ w)). L(x,y,((z \ u) * w) * T(v5,(z \ u) * w)) = L(x,y,v5 * ((u \ z) \ w)). L(x,y,z * ((u \ w) * v5)) = L(x,y,z * ((w \ u) \ v5)). L(x,y,z * ((u \ w) \ v5)) = L(x,y,z * ((w \ u) * v5)). L(x,y,z * (u \ w)) = L(x,y,z * (((v5 * u) \ v5) * w)). L(x,y,z * (((u * w) \ u) * v5)) = L(x,y,z * (w \ v5)). L(x,y,z * (T(u \ w,v5) \ v5)) = L(x,y,z * ((w \ u) * T(v5,u \ w))). L(x,y,z * ((u / w) * v5)) = L(x,y,z * ((w / u) \ v5)). L(x,y,z * ((u / w) \ v5)) = L(x,y,z * ((w / u) * v5)). L(x,y,((z * u) \ z) * w) != v5 | L(x,y,u \ w) = v5. L(x,y,z \ ((u / w) \ v5)) = L(x,y,((v6 * z) \ v6) * ((w / u) * v5)). L(x,y,((z * u) \ z) * ((w / v5) * v6)) = L(x,y,u \ ((v5 / w) \ v6)). L(x,y,z * (((u * w) / u) \ w)) = L(x,y,z * K(u,w \ 1)). L(x,y,z * K(u,w)) = L(x,y,z * K(w,u \ 1)). L(x,y,z * K(u,w \ 1)) = L(x,y,z * K(w,u)). L(x,y,z * K(u,w \ 1)) = L(x,y,z * K(u,w)). x \ y != L(z,u,w * K(v5,v6 \ 1)) | x * L(z,u,w * K(v5,v6)) = y. x * L(x \ 1,y,z * K(u,w)) = a(x,z * K(u,w \ 1),y). a(x,y * K(z,u),w) = a(x,y * K(z,u \ 1),w). a(x,y * K(z,u \ 1),w) = a(x,y * K(z,u),w). L(x,y,z \ ((u / w) * v5)) = L(x,y,z \ ((w / u) \ v5)). L(x,y,z \ ((u / w) \ v5)) = L(x,y,z \ ((w / u) * v5)). L(x,y,z * (T(u,w) \ w)) != v5 | L(x,y,z * (w / u)) = v5. L(x,y,z * (u / (w \ v5))) = L(x,y,z * ((v5 \ w) * T(u,w \ v5))). L(x,y,z * ((u \ w) * T(v5,w \ u))) = L(x,y,z * (v5 / (w \ u))). L(x,y,z * (u / ((w \ v5) \ 1))) = L(x,y,z * (u / (v5 \ w))). L(x,y,z * (u / (w \ 1))) != v5 | L(x,y,z * (u * w)) = v5. L(x,y,z * (u * (w \ v5))) = L(x,y,z * (u / (v5 \ w))). L(x,y,z * (u / (w \ v5))) = L(x,y,z * (u * (v5 \ w))). L(x,y,z * (u / (w * v5))) = L(x,y,z * (u * (T(w,v5 \ 1) \ (1 / v5)))). L(x,y,z * (u * (T(w,v5 \ 1) \ (1 / v5)))) = L(x,y,z * (u / (w * v5))). L(x,y,z * (u * ((1 / w) * (v5 \ 1)))) = L(x,y,z * (u / (v5 * w))). L(x,y,z * (u * ((1 / w) * v5))) != v6 | L(x,y,z * (u * (w \ v5))) = v6. L(x,y,z * (u * (w \ (v5 \ 1)))) = L(x,y,z * (u / (v5 * w))). R(x,y,a(z,u,u) * w) = R(x,a(z,u,u) * y,w). R(x,a(y,z,z) * u,w) = R(x,u,a(y,z,z) * w). x != R(y,z,a(u,w,w) * v5) | R(y,z,v5) = x. R(x,y,z) = R(x,a(u,w,w) * y,z). R(x,a(y,z,z) * u,w) = R(x,u,w). R(x,L(y,z,z),u) = R(x,y,u). R(x,L(y,z,y),u) = R(x,y,u). R(x,(y \ 1) \ z,u) = R(x,y * z,u). R(x,y / z,u) = R(x,y * (z \ 1),u). R(x,y * (z \ 1),u) = R(x,y / z,u). R(x,y * (y / z),u) = R(x,(z \ y) * y,u). R(x,(y \ z) * z,u) = R(x,z * (z / y),u). R(x,y * (z \ y),u) = R(x,(y / z) * y,u). R(x,(y / z) * y,u) = R(x,y * (z \ y),u). R(x,y * (z \ 1),u) != w | R(x,y * (1 / z),u) = w. R(x,y * (1 / z),u) = R(x,y / z,u). R(x,y * (z \ (u \ z)),w) = R(x,y / T(u,z),w). R(x,y * z,u) = R(x,y / (z \ 1),u). R(x,y / (z \ 1),u) = R(x,y * z,u). R(x,T(y,z),u) = R(x,(z \ y) * z,u). R(x,(y \ z) * y,u) = R(x,T(z,y),u). R(x,y * (z / y),u) = R(x,T(z,y),u). L(x,y * (T(z,u / w) * (u / w)),v5) = L(x,y * ((u * (w \ 1)) * z),v5). L(x,y * ((z / u) * w),v5) = L(x,y * ((z * (u \ 1)) * w),v5). L(x,y * ((z * (u \ 1)) * w),v5) = L(x,y * ((z / u) * w),v5). L(x,y * ((z * u) * w),v5) = L(x,y * ((z / (1 / u)) * w),v5). L(x,y * ((z / (1 / u)) * w),v5) = L(x,y * ((z * u) * w),v5). L(x,y * ((T(z,u) \ u) * w),v5) = L(x,y * ((u / z) * w),v5). L(x,y * (((z \ u) * u) * w),v5) = L(x,y * ((u * (u / z)) * w),v5). L(x,y * (((z * ((u \ z) \ 1)) * 1) * w),v5) = L(x,y * ((1 * (1 / (L(u,z,z) \ 1))) * w),v5). L(x,y * ((1 * (1 / (L(z,u,u) \ 1))) * w),v5) = L(x,y * (((u * ((z \ u) \ 1)) * 1) * w),v5). L(x,y,((z \ u) * w) * (T(v5,(z \ u) * w) \ 1)) = L(x,y,v5 \ ((u \ z) \ w)). L(x,y,z \ ((u \ w) * v5)) = L(x,y,z \ ((w \ u) \ v5)). L(x,y,z \ ((u \ w) \ v5)) = L(x,y,z \ ((w \ u) * v5)). L(x,y \ z,z \ ((y \ z) \ 1)) != u | L(x,y \ z,z \ (y / z)) = u. L(x,y \ z,z \ (y / z)) = L(x,y \ z,z \ ((z \ y) * 1)). L(x,y \ z,z \ ((z \ y) * 1)) = L(x,y \ z,z \ (y / z)). L(x,y \ z,z \ (z \ y)) = L(x,y \ z,z \ (y / z)). L(x,y \ z,z \ (y / z)) = L(x,y \ z,z \ (z \ y)). L(x,y,z) \ T(L(x,y,z) * K(u,x),u) = x \ (x * a(z,y,K(x \ u,x))). x \ T(x * K(y,z),y) != u | K(x,y) * K(y,z) = u. K(L(x,y,z),u) * K(u,x) = x \ (x * a(z,y,K(x \ u,x))). x \ (x * a(y,z,K(x \ u,x))) = K(L(x,z,y),u) * K(u,x). x != K(L(y,z,u),w) * K(w,y) | a(u,z,K(w,y)) = x. a(x,y,K(z,u)) = u \ (u * a(x,y,K(u \ z,u))). x \ (x * a(y,z,K(x \ u,x))) = a(y,z,K(u,x)). a(x,y,K(z \ u,z)) = a(x,y,K(u,z)). a(x,y,K(z \ u,z)) != w | K(u,z * (L(z,y,x) \ u)) = w. K(x,y * (L(y,z,u) \ x)) = a(u,z,K(x,y)). 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 \ 1,u)) = a(x,y,K(z \ u,u)). a(x,y,K(z,z \ u)) = a(x,y,K(u,z \ u)). a(x,y,K(z,u \ z)) = a(x,y,K(u,u \ z)). 1 / a(x,y,K(z,u)) = a(x,y,K(u,u \ z)). a(x,y,K(z,z \ u)) = 1 / a(x,y,K(u,z)). a(x,y,K(x,z)) != u | 1 = u. 1 = a(x * y,z,K(y,x)). a(x * y,z,K(y,x)) = 1. L(K(x,y),z,y * x) = K(x,y). x != K(y,z) | K(y,u \ (y \ (u * (z * y)))) = x. K(x,y \ (x \ (y * (z * x)))) = L(K(x,z),u,z * x). L(K(x,y),z,y * x) = K(x,u \ (x \ (u * (y * x)))). K(x,y) * ((y * x) * z) = (y * x) * (K(x,y) * z). 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)). a(x,y,a(z,u,K(y,w))) = 1. x != 1 / a(y,z,K(u,w)) | a(y,z,K(w,u)) = x. 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,z \ u)) != w | a(x,y,K(u,z \ u)) = w. a(x,y,K(z,u \ z)) = a(x,y,K(u,z)). a(x,y,K(z,u)) = a(x,y,K(u \ z,z)). a(x,y,K(z \ u,u)) = a(x,y,K(u,z)). a(x,y,K(z \ u,u)) != w | a(x,y,K(z \ 1,u)) = w. a(x,y,K(z \ 1,u)) = a(x,y,K(u,z)). a(x,y,K(z,u \ 1)) = a(x,y,K(z,u)). K(x,x * y) != z | (x * K(y,x)) \ L(x,y,x) = z. (x * K(L(y,z,u) \ y,x)) \ L(x,L(y,z,u) \ y,x) = 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). K(x,((x * y) * z) / ((x * y) * (y \ z))) = ((x * y) * z) / (K(y,x) * ((x * y) * z)). L(K(x,y),z,y * x) = K(x,((u / w) * w) \ (x \ (u * (y * x)))). 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 != a(y,z,a(u,w,K(z,v5))) | 1 = x. 1 = a(x,y,K(L(y,z,u) \ y,w)). a(x,y,K(L(y,z,u) \ y,w)) = 1. K(a(x,y,z),u) * 1 = K(L(z,y,x) \ z,u). K(L(x,y,z) \ x,u) = K(a(z,y,x),u) * 1. K(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). 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)). 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)). 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)). x != K(y,(z * u) \ (y \ w)) | K(y,(z * (u * y)) \ w) = x. K(x,((y / z) * (z * x)) \ (y * (u * x))) = L(K(x,u),w,u * x). L(K(x,y),z,y * x) = K(x,((u / w) * (w * x)) \ (u * (y * x))). K(x,y) = K(x,((z / u) * (u * x)) \ (z * (y * x))). K(x,((y / z) * (z * x)) \ (y * (u * x))) = K(x,u). x \ y != K(z,((u / w) * (w * z)) \ (u * (v5 * z))) | x * K(z,v5) = y. (x * (y * z)) * K(z,y) = (x * K(z,y)) * (y * z). (x * K(y,z)) * (z * y) = (x * (z * y)) * K(y,z). x != (y * (z * u)) * K(u,z) | y * (u * z) = x. x * (y * z) = (x * K(y,z)) * (z * y). (x * K(y,z)) * (z * y) = x * (y * z). x * y != (z / u) * u | z / y = x. x / (y * z) = (x / (z * y)) * K(z,y). (x / (y * z)) * K(y,z) = x / (z * y). (x * T(y,z)) * (y * z) = (x * y) * (z * y). 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)) = ((x * R(y,z,u)) / (T(x,y) * R(y,z,u))) * K(T(x,y),R(y,z,u)). ((x * R(y,z,u)) / (T(x,y) * R(y,z,u))) * K(T(x,y),R(y,z,u)) = K(x * y,x * R(y,z,u)). (x / y) * (x * y) = ((1 / y) * x) * (y * x). ((1 / x) * y) * (x * y) = (y / x) * (y * x). ((K(x,y) * z) * (x * z)) \ T(x,y) = ((z * x) \ T(x,y)) * (T(x,y) / (z * x)). ((x * y) \ T(y,z)) * (T(y,z) / (x * y)) = ((K(y,z) * x) * (y * x)) \ T(y,z). x != (y / z) * (y * z) | (y * ((1 / z) \ y)) / z = x. (x * ((1 / y) \ x)) / y = ((1 / y) * x) * (y * x). x \ (y * ((x * y) * x)) = y * ((1 / x) \ y). x * (y * ((1 / x) \ y)) = y * ((x * y) * x). x != y * ((z * y) * z) | (y * z) * ((1 / y) \ z) = x. (x * y) * ((1 / x) \ y) = y * (x * ((1 / y) \ x)). (x \ 1) * (y * (x \ y)) = y * (((x \ 1) * y) * (x \ 1)). x * (((y \ 1) * x) * (y \ 1)) = (y \ 1) * (x * (y \ x)). K(x,y * ((z * y) * z)) = a(x,y * z,y * z). T(x,(y * (((z \ 1) * y) * (z \ 1))) * u) = T(x,(z \ (y * ((1 / (z \ 1)) \ y))) * u). T(x,(y \ (z * ((1 / (y \ 1)) \ z))) * u) = T(x,(z * (((y \ 1) * z) * (y \ 1))) * u). K(x,x * ((y * x) * y)) != z | K(x,y * (y / x)) = z. K(x,y * (y / x)) = a(x,x * y,x * y). a(x,x * y,x * y) = K(x,y * (y / x)). x != K(y,z * (u / y)) | K(y,z * (y \ u)) = x. K(x,y * (x \ y)) = a(x,x * y,x * y). a(x,x * y,x * y) = K(x,y * (x \ y)). T(x,y * (z * (u * ((1 / z) \ u)))) = T(x,y * ((u * z) * (u * z))). x * ((y \ x) / y) = (y \ 1) * (x * (y \ x)). (x \ 1) * (y * (x \ y)) = y * ((x \ y) / x). (x \ 1) * (((x * y) \ 1) / y) = (1 / y) * ((x \ (1 / y)) / x). (x \ 1) * (((x * y) \ 1) / y) = (y \ 1) * ((x \ (y \ 1)) / x). (x \ (y \ (1 / x))) / y = (1 / x) * ((y \ (1 / x)) / y). (1 / x) * ((y \ (1 / x)) / y) = (x \ (y \ (1 / x))) / y. ((x \ (y \ (1 / x))) / y) / x = x \ (x \ (y \ ((1 / x) / y))). x * ((x \ (y \ (1 / x))) / y) = (y \ (1 / x)) / y. x \ ((y \ (1 / x)) / y) = (x \ (y \ (1 / x))) / y. (x \ (y \ (1 / x))) / y = x \ ((y \ (1 / x)) / y). x * ((x \ (y \ (1 / x))) / y) != z | (y \ (1 / x)) / y = z. (x \ 1) * (((x * y) \ 1) / y) = (y \ 1) * ((y * x) \ (1 / x)). (x \ 1) * ((x * y) \ (1 / y)) = (y \ 1) * (((y * x) \ 1) / x). (x \ ((y \ (1 / x)) / y)) / x = x \ (x \ (y \ ((1 / x) / y))). x != (y \ 1) * (((y * z) \ 1) / z) | (z \ (y \ (1 / z))) / y = x. (x \ (y \ (1 / x))) / y = (x \ 1) * ((x * y) \ (1 / y)). (x \ 1) * ((x * y) \ (1 / y)) = (x \ (y \ (1 / x))) / y. x != (y \ (z \ (1 / y))) / z | y \ ((z \ (1 / y)) / z) = x. x \ ((y \ (1 / x)) / y) = (x \ 1) * ((x * y) \ (1 / y)). (x \ 1) * ((x * y) \ (1 / y)) = x \ ((y \ (1 / x)) / y). x * ((x \ (y \ (1 / x))) / y) = T(y \ ((x \ 1) / y),x). x * y != (z \ 1) * ((z * u) \ (1 / u)) | x \ (z \ ((u \ (1 / z)) / u)) = y. x \ (x \ ((y \ (1 / x)) / y)) = (x * x) \ ((x * y) \ (1 / y)). (x * x) \ ((x * y) \ (1 / y)) = x \ (x \ ((y \ (1 / x)) / y)). (x \ (1 / y)) / x = T(x \ ((y \ 1) / x),y). T(x \ ((y \ 1) / x),y) = (x \ (1 / y)) / x. ((x \ (1 / y)) / x) * y = y * (x \ ((y \ 1) / x)). T(x,y * (z * (u * ((1 / w) \ v5)))) != v6 | T(x,y * (z * (u * (w * v5)))) = v6. T(x,y * (z * (u * (z * u)))) = T(x,y * ((u * z) * (u * z))). T(x,y * ((z * u) * (z * u))) = T(x,y * (u * (z * (u * z)))). T(x,y * ((z \ u) * (z \ u))) = T(x,y * (u * ((z \ 1) * (u * (z \ 1))))). T(x,y * (z * ((u \ 1) * (z * (u \ 1))))) = T(x,y * ((u \ z) * (u \ z))). (x * K(L(y,z,u) \ y,x)) \ L(x,a(u,z,y),x) = a(u,z,K(x,y)). K(x,L(y,z,u) \ y) * (x \ L(x,a(u,z,y),x)) = a(u,z,K(x,y)). K(x,y) * (x \ L(x,z,x)) != u | x \ L(T(x,y),z,x) = u. x \ L(T(x,L(y,z,u) \ y),a(u,z,y),x) = a(u,z,K(x,y)). x \ L(T(x,a(y,z,u)),a(y,z,u),x) = a(y,z,K(x,u)). K(x,x * a(y,z,u)) = a(y,z,K(x,u)). T(x,y * (z * (u \ (z / u)))) = T(x,y * ((u \ z) * (u \ z))). T(x,y * ((z \ u) * (z \ u))) = T(x,y * (u * (z \ (u / z)))). x * y != T(z,u * ((w \ v5) * (w \ v5))) | x \ T(z,u * (v5 * (w \ (v5 / w)))) = y. x \ T(x,y * (z * (u \ (z / u)))) = K(x,y * ((u \ z) * (u \ z))). T(T(x,y * (z * (u \ (z / u)))),K(w,y * ((u \ z) * (u \ z)))) = T(x,T(y * ((u \ z) * (u \ z)),w)). K(x,y * (z * (u \ (z / u)))) = K(x,y * ((u \ z) * (u \ z))). K(x,y * ((z \ u) * (z \ u))) = K(x,y * (u * (z \ (u / z)))). T(x,y * ((z * (u * (w \ 1))) * v5)) = T(x,y * ((L(z,w,w) * (u / w)) * v5)). T(x,y * ((L(z,u,u) * (w / u)) * v5)) = T(x,y * ((z * (w * (u \ 1))) * v5)). T(x,y * ((L(z,u,u) * w) * v5)) != v6 | T(x,y * ((z * w) * v5)) = v6. T(x,y * ((z * (u / w)) * v5)) = T(x,y * ((z * (u * (w \ 1))) * v5)). T(x,y * ((z * (u * (w \ 1))) * v5)) = T(x,y * ((z * (u / w)) * v5)). T(x,y * (((z \ 1) * u) * w)) != v5 | T(x,y * ((z \ u) * w)) = v5. T(x,y * ((z \ (u * (w \ 1))) * v5)) = T(x,y * (((z \ 1) * (u / w)) * v5)). T(x,y * ((z * (u * ((w \ u) \ 1))) * v5)) != v6 | T(x,y * ((z / (L(w,u,u) \ 1)) * v5)) = v6. T(x,y * ((z / (L(u,w,w) \ 1)) * v5)) = T(x,y * ((z * (w / (u \ w))) * v5)). T(x,y * ((z \ (u * u)) * w)) = T(x,y * ((u * (u / z)) * w)). x != T(y,z * (((u \ 1) * w) * v5)) | T(y,z * ((u \ w) * v5)) = x. T(x,y * ((z \ (u / w)) * v5)) = T(x,y * ((z \ (u * (w \ 1))) * v5)). T(x,y * ((z \ (u * (w \ 1))) * v5)) = T(x,y * ((z \ (u / w)) * v5)). T(x,y * ((z \ (u * (w \ 1))) * w)) != v5 | T(x,y * (w \ ((w / z) * u))) = v5. T(x,y * (z \ ((z / u) * w))) = T(x,y * ((u \ (w / z)) * z)). T(x,y * ((z / (L(u,w,w) \ 1)) * v5)) = T(x,y * ((z * u) * v5)). (x * x) \ (y * (x * a(z,z,u))) = y / (x * a(z,z,u)). (x * x) \ (y * (x * a(z,z,u))) != w | (y / x) * a(z,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 * a(z,u,u)) = (x / y) * a(u,u,T(z,w)). (x / y) * a(z,z,T(u,w)) = x / (y * a(u,z,z)). (x / y) * a(z,u,u) = x / (y * a(z,u,u)). x / (y * a(z,u,u)) = (x / y) * a(z,u,u). x / L(y,z,z) = (x / y) * a(y,z,z). (x / y) * a(y,z,z) = x / L(y,z,z). a(x,y,y) * (z / x) = z / L(x,y,y). K(x,y / L(z,u,u)) = K(x,y / z). T(x,y / L(z,u,u)) = T(x,y / z). R(x,y,z / L(u,w,w)) = R(x,y,z / u). K(x,y / (z * (u * u))) = K(x,y / ((u * u) * z)). K(x,y / ((z * z) * u)) = K(x,y / (u * (z * z))). T(x,y * (1 / L(z,u,u))) = T(x,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 / T(z,u \ 1)) = T(x,y / T(z,u)). a(x,y,y) * ((z * (u * x)) / x) != w | (L(x,y,y) \ 1) \ (((x \ 1) * z) * u) = w. (L(x,y,y) \ 1) \ (((x \ 1) * z) * u) = (z * (u * x)) / L(x,y,y). x * y != a(z,u,u) * (w / z) | x \ (w / L(z,u,u)) = y. L(x,y,y) \ (z / L(x,y,y)) = x \ (z / x). T(x,y * ((z \ 1) * (1 / u))) = T(x,y / (u * z)). T(x,y / (z * (z * u))) = T(x,y / ((u * z) * z)). T(x,y / ((z * u) * u)) = T(x,y / (u * (u * z))). T(x,y / (z * (u * z))) = T(x,y / ((z * u) * z)). T(x,y / ((z * u) * z)) = T(x,y / (z * (u * z))). L(x \ (y / x),z,z) = x \ L(y / L(x,z,z),z,z). x \ L(y / L(x,z,z),z,z) = L(x \ (y / x),z,z). (x \ (y / x)) * K(z,L(x,u,u) \ y) = (L(x,u,u) \ y) * (L(x,u,u) \ K(z,L(x,u,u) \ y)). (L(x,y,y) \ z) * (L(x,y,y) \ K(u,L(x,y,y) \ z)) = (x \ (z / x)) * K(u,L(x,y,y) \ z). T(x,y * ((z \ 1) / u)) = T(x,y / (u * z)). T(x,y * (z \ (1 / u))) = T(x,y / (u * z)). x * y != T(z,u * ((w \ 1) / v5)) | x \ T(z,u / (v5 * w)) = y. x \ T(x,y / (z * u)) = K(x,y * ((u \ 1) / z)). K(x,y * ((z \ 1) / u)) = x \ T(x,y / (u * z)). T(x,y * ((z \ 1) / (L(u,z,z) * (w / z)))) = T(x,y / (z \ ((z * u) * w))). T(x,y * ((z * (u / z)) / w)) = T(x,y / (w * ((z / u) * (1 / z)))). T(x,y / (z * ((u / w) * (1 / u)))) = T(x,y * ((u * (w / u)) / z)). K(x,y) * T(T(x,y),z / (u * w)) = T(x,T(z * ((w \ 1) / u),y)). K(x,y / (z * u)) = K(x,y * ((u \ 1) / z)). K(x,y * ((z \ 1) / u)) = K(x,y / (u * z)). K(x,y * (z / u)) != w | K(x,y * (z * (1 / u))) = w. K(x,y * ((z \ 1) * (1 / u))) = K(x,y / (u * z)). K(x,y * (z / u)) = K(x,y / (u * (1 / z))). K(x,y / (z * (1 / u))) = K(x,y * (u / z)). K(x,y / (z * (1 / ((z * u) * w)))) != v5 | K(x,y * (z * (u * (w / z)))) = v5. K(x,y * (z * (u * (w / z)))) = K(x,y * (((z * u) * w) / z)). K(x,y * (((z * u) * w) / z)) = K(x,y * (z * (u * (w / z)))). x \ (L(y,z,z) / x) = L(x \ (y / x),z,z). L(x \ (y / x),z,z) = x \ (L(y,z,z) / x). K(x,y * (z / y)) != u | K(x,T(z,y)) = u. K(x,T((y * z) * u,y)) = K(x,y * (y * (z * (u / y)))). K(x,y * (y * (z * (u / y)))) = K(x,T((y * z) * u,y)). T(x,T(y / (z * u),w)) = T(x,T(y * ((u \ 1) / z),w)). T(x,T(y * ((z \ 1) / u),w)) = T(x,T(y / (u * z),w)). T(x,T(y * (K(z,u) / w),v5)) = T(x,T(y / (w * K(z,u)),v5)). T(x,T(y / (z * K(u,w)),v5)) = T(x,T(y * (K(u,w) / z),v5)). (a(x,y,x) * (z * (u * w))) \ ((a(x,y,x) * (z * u)) * w) = a(a(x,y,x) * z,u,w). T(x,y * (T(z,u) * (((u * w) \ 1) / w))) = T(x,y * (w \ (u \ ((1 / w) * z)))). T(x,T(y,z) * (a(T(1 / y,z),u,w) * v5)) = T(x,L(T(y,y \ z),w,u) * v5). T(x,y * T((z * u) * w,R(z,u,w))) = T(x,y * ((T(z,u * w) * u) * w)). K(x,T(y,z * x) / T(z \ 1,T(y,(z \ 1) \ x) * z)) = K(x,y / (z \ 1)). K(x,T(y,z * x) / T(z \ 1,T(y,z * x) * z)) = K(x,y / (z \ 1)). K(x,T(y,z * x) / T(z \ 1,T(y * z,z * x))) = K(x,y / (z \ 1)). T(x,y * ((z \ ((z * u) \ 1)) / w)) = T(x,y * ((z \ (((z \ 1) \ u) \ 1)) / w)). T(x,y * ((z \ (((z \ 1) \ u) \ 1)) / w)) = T(x,y * ((z \ ((z * u) \ 1)) / w)). L(x,((y * z) \ 1) / y,(1 / y) \ y) = R(x,(1 / y) \ y,((1 / y) \ y) \ z). R(x,(1 / y) \ y,((1 / y) \ y) \ z) = L(x,((y * z) \ 1) / y,(1 / y) \ y). L(x,((y * z) \ 1) / y,y * y) = R(x,(1 / y) \ y,((1 / y) \ y) \ z). R(x,(1 / y) \ y,((1 / y) \ y) \ z) = L(x,((y * z) \ 1) / y,y * y). L(x \ 1,y,y) \ (((x \ 1) * (1 / y)) * z) = L(y \ z,y,x \ (y \ 1)). (L(x,y,y) \ 1) \ (((x \ 1) * (1 / y)) * z) = L(y \ z,y,x \ (y \ 1)). (L(x,y,y) \ 1) \ (((x \ 1) * z) * u) != w | (z * (u * x)) / L(x,y,y) = w. ((1 / x) * (y * z)) / L(z,x,x) = L(x \ y,x,z \ (x \ 1)). ((1 / x) * ((x * y) * z)) / L(z,x,x) != u | R(y,z * (1 / x),x) = u. R(x,y * (1 / z),z) = L(z \ (z * x),z,y \ (z \ 1)). L(x \ (x * y),x,z \ (x \ 1)) = R(y,z * (1 / x),x). L(x,y,z \ (y \ 1)) = R(x,z * (1 / y),y). R(x,y * (1 / z),z) = L(x,z,y \ (z \ 1)). R(x,y * (1 / z),u) != w | R(x,y / z,u) = w. R(x,y / z,z) = L(x,z,y \ (z \ 1)). L(x,y,z \ (y \ 1)) = R(x,z / y,y). x != R(y,z / u,u) | R(y,u \ z,u) = x. R(x,y \ z,y) = L(x,y,z \ (y \ 1)). L(x,y,z \ (y \ 1)) = R(x,y \ z,y). L(x,y,y \ (z \ 1)) = R(x,y \ z,y). L(x,y,y \ (z \ 1)) != u | L(R(x,z,y),y,y) = u. L(R(x,y,z),z,z) = R(x,z \ y,z). L(x,y,y \ ((z \ y) \ 1)) != u | L(x,y,((z / y) \ y) \ 1) = u. L(x,y,((z / y) \ y) \ 1) = R(x,y \ (z \ y),y). x != L(y,z * (u * ((w \ 1) \ v5)),v6) | L(y,z * (u * (w * v5)),v6) = x. L(x,y * (z * ((u \ w) * v5)),v6) = L(x,y * (z * (((u * (w \ u)) \ u) * v5)),v6). L(x,y * (z * (((u * (w \ u)) \ u) * v5)),v6) = L(x,y * (z * ((u \ w) * v5)),v6). K(x,y) = K(x,((x * y) * z) / ((x * y) * (y \ z))). K(x,((x * y) * z) / ((x * y) * (y \ z))) = K(x,y). K(x,y / ((x * z) * u)) != w | K(x,y / (x * (z * u))) = w. K(x,((x * y) * z) / (x * (y * (y \ z)))) = K(x,y). K(x,((x * y) * z) / (x * z)) = K(x,y). K(x,((y * z) * u) / (y * u)) != w | K(x,R(T(z,y),y,u)) = w. K(x,R(T(y,x),x,z)) = K(x,y). K(x,R(y,x,z)) = K(x,y). x \ y != K(z,R(u,z,w)) | x * K(z,u) = y. x * K(x,y) = T(x,R(y,x,z)). T(x,R(y,x,z)) = x * K(x,y). K(x,y) * ((y * x) * z) = (K(x,y) * (y * x)) * z. (K(x,y) * (y * x)) * z = K(x,y) * ((y * x) * z). T(x,y) = T(x,R(y,x,z)). T(x,R(y,x,z)) = T(x,y). T(x,(y * z) / (x * z)) = T(x,y / x). x != T(y,z / y) | T(y,y \ z) = x. T(x,x \ y) = T(x,(y * z) / (x * z)). T(x,(y * z) / (x * z)) = T(x,x \ y). T(x,y / (x * z)) = T(x,x \ (y / z)). T(R(x,y,z),(u * (y * z)) / ((x * y) * z)) = T(R(x,y,z),R(x,y,z) \ u). T(x,y / (x * (z * u))) != w | T(x,y / ((x * z) * u)) = w. T(x,y / ((x * z) * u)) = T(x,x \ (y / (z * u))). L(x,y * z,K(z,y)) = x. (x * y) * z = K(x,y) * ((y * x) * z). K(x,y) * ((y * x) * z) = (x * y) * z. L(x,y,z) != u | L(x,T(y,z),z) = u. (x * y) \ (K(x,y) * z) = (y * x) \ z. K(x,y) * z = (x * y) * ((y * x) \ z). (x * y) * ((y * x) \ z) = K(x,y) * z. K(x,y) * ((y * x) * z) != u | (y * x) * (K(x,y) * z) = u. (x * y) * (K(y,x) * z) = (y * x) * z. x * y != K(z,u) * ((u * z) * w) | x \ ((z * u) * w) = y. x \ ((x * y) * z) = T(x,y) \ ((y * x) * z). T(x,y) \ ((y * x) * z) = x \ ((x * y) * z). (x * y) \ ((y * x) * z) = K(y,x) * z. (x * y) \ (R(y,z,u) * T(x,y)) = (y * x) \ (R(y,z,u) * x). K(x,y) * ((y * x) * z) != u | (x * y) * z = u. x * y != (T(z,u) * w) * K(u,T(z,w)) | x \ (z * w) = y. (x * T(y,z)) \ (y * x) = K(T(y,z),x) * K(z,T(y,x)). K(T(x,y),z) * K(y,T(x,z)) = (z * T(x,y)) \ (x * z). T(x \ 1,y) \ ((T(x,y) \ y) * z) = (x \ 1) \ (((x \ 1) * y) * z). K(x,T(y,z)) * K(z,T(x,y)) = (y * T(x,z)) \ (x * y). K(x,T(y,z)) * K(z,T(x,y)) != u | K(x,y) * K(z,x) = u. K(x,y) * K(z,x) = (y * T(x,z)) \ (x * y). (x * T(y,z)) \ (y * x) = K(y,x) * K(z,y). K(x * y,x * L(y,z,u)) = K(x,L(y,z,u)) * K(y,x). x != K(y,L(z,u,w)) * K(z,y) | a(w,u,K(z,y)) = x. a(x,y,K(z,u)) = K(u * z,u * L(z,y,x)). K(x * y,x * L(y,z,u)) = a(u,z,K(y,x)). x != a(y,z,K(u,y * z)) | 1 = x. 1 = K((x * y) * z,(x * y) * L(z,y,x)). K((x * y) * z,(x * y) * L(z,y,x)) = 1. K((x * y) * z,x * (y * z)) = 1. ((x * y) * z) \ (R(z,x,y) * T(x * y,z)) = (z * (x * y)) \ ((z * x) * y). x != (y \ 1) \ (((y \ 1) * z) * u) | (z * (u * y)) / y = x. (x * (y * z)) / z = T(z \ 1,x) \ ((T(z,x) \ x) * y). T(x \ 1,y) \ ((T(x,y) \ y) * z) = (y * (z * x)) / x. R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = T(R(x,z,u),R(x,z,u) \ y). x \ y != (z * (u * w)) \ ((z * u) * w) | x * a(z,u,w) = y. ((x * y) * z) * a(z,x,y) = R(z,x,y) * T(x * y,z). x != R(y,z,u) * T(z * u,w) | ((y * z) * u) * K(z * u,w) = x. ((x * y) * z) * K(y * z,x) = ((y * z) * x) * a(x,y,z). R(T(x,R(x,y,z) \ u),y,z) = R(T(x,(u * (y * z)) / ((x * y) * z)),y,z). R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = R(T(x,R(x,z,u) \ y),z,u). R(T(x,x \ ((y * (z * u)) / (z * u))),z,u) = R(T(x,R(x,z,u) \ y),z,u). R(T(x,x \ y),z,u) = R(T(x,R(x,z,u) \ y),z,u). R(T(x,R(x,y,z) \ u),y,z) = R(T(x,x \ u),y,z). (R(x,y,z) \ u) \ u = R(T(x,x \ u),y,z). R(T(x,x \ y),z,u) = (R(x,z,u) \ y) \ y. T(x,R(x,y,z) \ u) = T(x,x \ u). x * y != T(z,R(z,u,w) \ v5) | x \ T(z,z \ v5) = y. x \ T(x,x \ y) = K(x,R(x,z,u) \ y). K(x,R(x,y,z) \ u) = x \ T(x,x \ u). K(x,x \ y) = K(x,R(x,z,u) \ y). K(x,R(x,y,z) \ u) = K(x,x \ u). K(x,R(x,y,z) \ (u \ R(x,y,z))) != w | K(x,u \ 1) = w. K(x,y \ 1) = K(x,x \ (y \ R(x,z,u))). K(x,x \ (y \ R(x,z,u))) = K(x,y \ 1). K(x,x \ ((x \ y) \ z)) != u | K(x,y \ z) = u. K(x,y \ R(x,z,u)) = K(x,(x \ y) \ 1). K(x,y \ R(x,z,u)) != w | K(x,y \ x) = w. T(x,(y \ (z * ((1 / (y \ 1)) \ z))) * u) = T(x,(z * ((y \ z) / y)) * u). x != T(y,(z * ((u \ w) / u)) * v5) | T(y,(z * (u \ (w / u))) * v5) = x. T(x,(y * (z \ (y / z))) * u) = T(x,(z \ (y * ((1 / (z \ 1)) \ y))) * u). T(x,(y \ (z * ((1 / (y \ 1)) \ z))) * u) = T(x,(z * (y \ (z / y))) * u). T(x,(y \ (z * (y \ z))) * u) = T(x,(z * (y \ (z / y))) * u). (x * (y * z)) \ ((x * y) * z) = a(a(u,w,u) * x,y,z). a(a(x,y,x) * z,u,w) = (z * (u * w)) \ ((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(x,y,z) = a(a(u,w,u) \ x,y,z). a(a(x,y,x) \ z,u,w) = a(z,u,w). a(L(x,y,x),z,u) = a(x,z,u). a(K(x \ y,x),z,u) = a(K(y,x),z,u). a(T(x,x * y),z,u) = a(T(x,y),z,u). a(T(x,x * y),z,u) != w | a(T(x \ 1,y) \ 1,z,u) = w. a(T(x \ 1,y) \ 1,z,u) = a(T(x,y),z,u). a(T(x \ 1,y) \ 1,z,u) != w | a(T(1 / x,y) \ 1,z,u) = w. a(T(1 / x,y) \ 1,z,u) = a(T(x,y),z,u). a((x \ y) \ y,z,u) = a(T(x,y),z,u). x \ ((x * y) * L(z,x,x)) = (y * (z / L(x,u,u))) / (1 / L(x,u,u)). (x * (y / z)) / (1 / z) = (x * (y / L(z,u,u))) / (1 / L(z,u,u)). (x * (y / L(z,u,u))) / (1 / L(z,u,u)) = (x * (y / z)) / (1 / z). T(x,y * (z \ (((1 / u) * w) * v5))) = T(x,y * (z \ ((u \ w) * L(v5,u,u)))). T(x,y * (z \ ((u \ w) * L(v5,u,u)))) = T(x,y * (z \ (((1 / u) * w) * v5))). x * L(1 / y,(z \ 1) \ 1,(z \ 1) * x) = (x / ((z \ 1) \ 1)) * (1 / (y / z)). x * L(1 / y,(z \ 1) \ 1,z \ x) = (x / ((z \ 1) \ 1)) * (1 / (y / z)). x * L(1 / y,z,z \ x) = (x / ((z \ 1) \ 1)) * (1 / (y / z)). (x / ((y \ 1) \ 1)) * (1 / (z / y)) = x * L(1 / z,y,y \ x). x != y * L(z,u,u \ y) | (y / u) * (u * z) = x. (x / y) * (y * (1 / z)) = (x / ((y \ 1) \ 1)) * (1 / (z / y)). (x / ((y \ 1) \ 1)) * (1 / (z / y)) = (x / y) * (y * (1 / z)). ((x * (1 / y)) \ 1) * (1 / (z / x)) = (y / x) * (x * (1 / z)). L(R(x,y \ 1,1 / (z / y)),y,y) = ((x / y) * (y * (1 / z))) / ((y \ 1) * (1 / (z / y))). ((x / y) * (y * (1 / z))) / ((y \ 1) * (1 / (z / y))) = L(R(x,y \ 1,1 / (z / y)),y,y). T(x,y * (z * (u / ((w \ 1) * v5)))) = T(x,y * (z * (u / (w \ v5)))). T(x,y * (z * (u / ((w \ 1) * v5)))) != v6 | T(x,y * (z * (u * (v5 \ w)))) = v6. T(x,y * (z * (u * (w \ v5)))) = T(x,y * (z * (u / (v5 \ w)))). T(x,y * (z * (u / (w \ v5)))) = T(x,y * (z * (u * (v5 \ w)))). T(x,y \ (z * (u / (w \ v5)))) = T(x,(1 / y) * (z * (u * (v5 \ w)))). T(x,(1 / y) * (z * (u * (w \ v5)))) = T(x,y \ (z * (u / (v5 \ w)))). T(x,(y * (z / (u \ w))) * v5) = T(x,T(v5,y * (z / (u \ w))) * (y * (z * (w \ u)))). T(x,T(y,z * (u / (w \ v5))) * (z * (u * (v5 \ w)))) = T(x,(z * (u / (w \ v5))) * y). T(x,y * (z * (T(u,w) / w))) != v5 | T(x,y * (z * (w \ u))) = v5. T(x,y * (z * ((u \ w) \ v5))) = T(x,y * (z * (T(v5,u \ w) * (w \ u)))). T(x,y * (z * (T(u,w \ v5) * (v5 \ w)))) = T(x,y * (z * ((w \ v5) \ u))). T(x,y * (z \ (u / (w \ v5)))) = T(x,y * ((z \ 1) * (u * (v5 \ w)))). T(x,y * ((z \ 1) * (u * (w \ v5)))) = T(x,y * (z \ (u / (v5 \ w)))). T(x,y * ((z / (u \ w)) * v5)) = T(x,y * (T(v5,z / (u \ w)) * (z * (w \ u)))). T(x,y * (T(z,u / (w \ v5)) * (u * (v5 \ w)))) = T(x,y * ((u / (w \ v5)) * z)). T(x,y \ (z * (u * (w \ v5)))) = T(x,y \ (z * (u / (v5 \ w)))). T(x,y \ (z * (u / (w \ v5)))) = T(x,y \ (z * (u * (v5 \ w)))). T(x,y \ ((1 / z) * u)) != w | T(x,y \ (z \ u)) = w. T(x,y \ (z \ (u / (w \ v5)))) = T(x,y \ ((1 / z) * (u * (v5 \ w)))). T(x,y \ ((1 / z) * (u * (w \ v5)))) = T(x,y \ (z \ (u / (v5 \ w)))). T(x,y * (z \ (u * (w \ v5)))) = T(x,y * (z \ (u / (v5 \ w)))). T(x,y * (z \ (u / (w \ v5)))) = T(x,y * (z \ (u * (v5 \ w)))). T(x,y * (z \ (1 / (u \ w)))) = T(x,y * (z \ (w \ u))). T(x,y * (z \ (1 / u))) != w | T(x,y / (u * z)) = w. T(x,y / ((z \ u) * w)) = T(x,y * (w \ (u \ z))). T(x,y / (z * u)) = T(x,y * (u \ (z \ 1))). T(x,y * (z \ (u \ 1))) = T(x,y / (u * z)). T(x,y / (z * u)) = T(x,y * (u \ (w \ (w / z)))). T(x,y * (z \ (u \ (u / w)))) = T(x,y / (w * z)). T(x,y * (z \ (u \ 1))) != w | T(x,y * ((1 / z) / u)) = w. T(x,y * ((1 / z) / u)) = T(x,y / (u * z)). T(x,(y \ (z \ (z / u))) * w) = T(x,T(w,y \ (z \ (z / u))) / (u * y)). T(x,T(y,z \ (u \ (u / w))) / (w * z)) = T(x,(z \ (u \ (u / w))) * y). T(x,y * (z \ T(1 / u,w))) = T(x,y / (T(u,w) * z)). T(x,y \ (z \ (u * (w \ v5)))) = T(x,y \ (z \ (u / (v5 \ w)))). T(x,y \ (z \ (u / (w \ v5)))) = T(x,y \ (z \ (u * (v5 \ w)))). T(x,y \ (z \ (u / w))) = T(x,y \ (z \ (u * (w \ 1)))). T(x,y \ (z \ (u * (w \ 1)))) = T(x,y \ (z \ (u / w))). T(x,y \ (z \ (u / (w \ 1)))) = T(x,y \ (z \ (u * w))). T(x,y \ (z \ 1)) = T(x,y \ (u \ (u / z))). T(x,y \ (z \ (z / u))) = T(x,y \ (u \ 1)). 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))). x * y != T(z,u \ (w \ (w / v5))) | x \ T(z,u \ (v5 \ 1)) = y. x \ T(x,y \ (z \ 1)) = K(x,y \ (u \ (u / z))). K(x,y \ (z \ (z / u))) = x \ T(x,y \ (u \ 1)). T(x,y \ (z \ K(z,u))) = T(x,y \ (T(z,u) \ 1)). T(x,y \ (T(z,u) \ 1)) = T(x,y \ (z \ K(z,u))). K(x,y \ (z \ 1)) = K(x,y \ (u \ (u / z))). K(x,y \ (z \ (z / u))) = K(x,y \ (u \ 1)). K(x,y \ (z \ (z / (1 / u)))) != w | K(x,y \ L(u,u,z)) = w. K(x,y \ L(z,z,u)) = K(x,y \ ((1 / z) \ 1)). K(x,y \ L(z,z,u)) = K(x,y \ z). K(x,a(y,z,u) \ y) != w | K(x,L(y \ 1,u,z) \ 1) = w. K(x,L(L(y,y,z) \ 1,u,w) \ 1) = K(x,a(L(y,y,z),w,u) \ y). 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 \ 1) * w) \ 1))) = T(x,y \ (z \ ((w \ 1) * u))). T(x,y * (z * ((1 / (u \ w)) \ v5))) = T(x,y * (z * ((w \ u) \ v5))). 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 * (z * ((w \ u) \ v5))). T(x,y * (z * ((u \ w) \ v5))) = T(x,y * (z * ((w \ u) * v5))). T(x,y * (z \ ((u \ w) \ v5))) = T(x,y * ((z \ 1) * ((w \ u) * v5))). T(x,y * ((z \ 1) * ((u \ w) * v5))) = T(x,y * (z \ ((w \ u) \ v5))). T(x,y * (z * (u \ w))) = T(x,y * (z * (((v5 * u) \ v5) * w))). T(x,y * (z * (((u * w) \ u) * v5))) = T(x,y * (z * (w \ v5))). T(x,y * z) = T(x,y * ((u \ w) * ((w \ u) * z))). T(x,y * ((z \ u) * ((u \ z) * w))) = T(x,y * w). T(x,y * (((z \ u) \ w) * v5)) = T(x,y * (T(v5,(z \ u) \ w) * ((u \ z) * w))). T(x,y * (T(z,(u \ w) \ v5) * ((w \ u) * v5))) = T(x,y * (((u \ w) \ v5) * z)). 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 * ((z \ (z / u)) * w)) = T(x,y * (u \ w)). T(x,y * T(z / u,z)) = T(x,y * (u \ z)). T(x,y * (z / (u \ w))) = T(x,y * (z * (w \ u))). 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 * ((z \ u) / w)) = T(x,y * ((u \ z) \ (w \ 1))). T(x,y * ((z \ u) \ (w \ 1))) = T(x,y * ((u \ z) / w)). T(x,y * (((z \ 1) \ u) \ w)) != v5 | T(x,y * ((z * u) \ w)) = v5. T(x,y * ((z * u) \ w)) = T(x,y * ((u \ (z \ 1)) * w)). T(x,y * ((z \ (u \ 1)) * w)) = T(x,y * ((u * z) \ w)). 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)). T(x,y * (z \ u)) = T(x,y * (((w * z) \ w) * u)). T(x,y * (((z * u) \ z) * w)) = T(x,y * (u \ w)). T(T(x,y * ((z \ u) * w)),K(v5,y * ((u \ z) \ w))) = T(x,T(y * ((u \ z) \ w),v5)). T(x,y * (T(1 / z,u) * w)) = T(x,y * (T(z,u) \ w)). T(x,y * (z / u)) = T(x,y * (z * (w \ (w / u)))). T(x,y * (z * (u \ (u / w)))) = T(x,y * (z / w)). T(x,((y / z) \ u) * w) = T(T(x,K(w,(y / z) \ u)),w * ((z / y) * u)). T(T(x,K(y,(z / u) \ w)),y * ((u / z) * w)) = T(x,((z / u) \ w) * y). T(x,y \ ((z / u) \ w)) = T(x,(1 / y) * ((u / z) * w)). T(x,(1 / y) * ((z / u) * w)) = T(x,y \ ((u / z) \ w)). 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)). T(x,y * (z * (u / (w * u)))) = T(x,y * (z / w)). T(x,y * (z * (u / w))) = T(x,y * (z / (w / u))). T(x,y * (z / (u / w))) = T(x,y * (z * (w / u))). T(x,y \ (z / (u / w))) = T(x,(1 / y) * (z * (w / u))). T(x,(1 / y) * (z * (u / w))) = T(x,y \ (z / (w / u))). T(x,(y / (z / u)) * w) = T(x,T(w,y / (z / u)) * (y * (u / z))). T(x,T(y,z / (u / w)) * (z * (w / u))) = T(x,(z / (u / w)) * y). T(x,y * ((z \ 1) / u)) != w | T(x,y / (u * z)) = w. T(x,y / ((z / u) * w)) = T(x,y * ((w \ 1) * (u / z))). T(x,y * ((z \ 1) * (u / w))) = T(x,y / ((w / u) * z)). T(x,y * (z / (u / (1 / w)))) != v5 | T(x,y * (z / (u * w))) = v5. T(x,y * (z / (u * w))) = T(x,y * (z * ((1 / w) / u))). T(x,y * (z * ((1 / u) / w))) = T(x,y * (z / (w * u))). T(x,y * ((z * u) \ (w \ 1))) = T(x,y * ((u \ (z \ 1)) / w)). T(x,y * ((z \ (u \ 1)) / w)) = T(x,y * ((u * z) \ (w \ 1))). T(x,T((y \ (z \ 1)) * u,w)) = T(x,K(w,(z * y) \ u) * ((z * y) \ u)). T(x,K(y,(z * u) \ w) * ((z * u) \ w)) = T(x,T((u \ (z \ 1)) * w,y)). 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,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) * (1 / u))) != w | K(x,y / (u * z)) = w. K(x,y / (z * u)) = K(x,y * (u \ (1 / z))). K(x,y * (z \ (1 / u))) = K(x,y / (u * z)). K(x,y * (z \ u)) = K(x,y / ((u \ 1) * z)). K(x,y / ((z \ 1) * u)) = K(x,y * (u \ z)). K(x,y / ((z \ 1) * u)) != w | K(x,y / ((1 / z) * u)) = w. K(x,y / ((1 / z) * u)) = K(x,y * (u \ z)). T(x,y \ ((z / u) * w)) = T(x,y \ ((u / z) \ w)). T(x,y \ ((z / u) \ w)) = T(x,y \ ((u / z) * w)). 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)). T(x,y \ (z \ u)) = T(x,y \ ((w / (z * w)) * u)). T(x,y \ ((z / (u * z)) * w)) = T(x,y \ (u \ w)). T(x,y \ ((z \ 1) * u)) = T(x,y \ (z \ u)). T(x,y \ ((z \ (z / u)) * w)) = T(x,y \ (u \ w)). x != T(y,z \ (u \ T(w,u))) | T(y,z \ (w / u)) = x. T(x,y \ (z / u)) = T(x,y \ ((u \ 1) * T(z,u))). T(x,y \ ((z \ 1) * T(u,z))) = T(x,y \ (u / z)). T(x,y \ (z * (u \ 1))) != w | T(x,y \ (z / u)) = w. T(x,y \ ((z \ 1) / u)) = T(x,y \ (z \ (u \ 1))). T(x,y \ (z \ (u \ (1 / z)))) = T(x,y \ ((u * z) \ (z \ 1))). T(x,y \ ((z * u) \ (u \ 1))) = T(x,y \ (u \ (z \ (1 / u)))). 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 \ ((z * u) \ 1)) = T(x,y \ ((u \ 1) / z)). T(x,y \ ((z \ 1) / u)) = T(x,y \ ((u * z) \ 1)). 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)). T(x,y \ ((z \ 1) / u)) != w | T(x,y \ (z \ (u \ 1))) = w. T(x,y \ (z \ (u \ 1))) = T(x,y \ ((u * z) \ 1)). T(x,y \ ((z * u) \ 1)) = T(x,y \ (u \ (z \ 1))). K(x,y) * T(T(x,y),z \ (u \ (w \ 1))) = T(x,T(z \ ((w * u) \ 1),y)). 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(K(x,y * ((z / u) * w)),v5,v6) = K(x,L(y * ((u / z) \ w),v5,v6)). T(x,y \ (z * (u / w))) = T(x,y \ (z / (w / u))). T(x,y \ (z / (u / w))) = T(x,y \ (z * (w / u))). 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) = T(x,y * (u \ (u / z))). T(x,y * (z \ (z / u))) = T(x,y / u). T(x,y * ((z * u) \ z)) = T(x,y / u). T(x,y * (z \ u)) = T(x,y / (u \ z)). T(x,y / (z \ u)) = T(x,y * (u \ z)). T(x,y * T(1 / z,u)) = T(x,y / T(z,u)). K(x,y) * T(T(x,y),z / u) = T(x,T(z * (w \ (w / u)),y)). T(x,T(y * (z \ (z / u)),w)) = K(x,w) * T(T(x,w),y / u). T(x,y * (z / u)) = T(x,y / (u / z)). T(x,y / (z / u)) = T(x,y * (u / z)). T(x,y * ((z * (u * z)) \ u)) = T(x,y / (z * T(z,u))). T(x,y * (L(z,z,u) \ 1)) = T(x,y / z). T(x,a((y \ z) \ 1,u,w)) = T(x,L(y \ z,w,u) * (z \ y)). T(x,L(y \ z,u,w) * (z \ y)) = T(x,a((y \ z) \ 1,w,u)). T(x \ y,z * (x \ y)) \ (z * ((y \ x) \ 1)) = (x \ y) \ ((y \ x) \ z). T(x,y / L(z,z,u)) = T(x,y / z). T(x,y / ((z \ u) \ u)) = T(x,y / T(z,u)). T(x,y / T(z * u,u \ 1)) = T(x,y / T(z * u,z)). T(x,y * (z * ((1 / u) / w))) != v5 | T(x,y * (z * (u \ (1 / w)))) = v5. T(x,y * (z * (u \ (1 / w)))) = T(x,y * (z / (w * u))). T(x,y * (z * ((1 / u) / w))) != v5 | T(x,y * (z * (u \ (w \ 1)))) = v5. T(x,y * (z * (u \ (w \ 1)))) = T(x,y * (z / (w * u))). 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)) = K(x,y \ ((u \ z) \ w)). K(x,y \ ((z \ u) \ w)) = K(x,y \ ((u \ z) * w)). K(x,y \ ((z \ 1) \ u)) = K(x,y \ (z * u)). K(x,y \ (T(z,u) \ w)) = K(x,y \ (((u / z) / u) * w)). K(x,y \ (((z / u) / z) * w)) = K(x,y \ (T(u,z) \ w)). x != T(y,z / T(u * w,u)) | T(y,z / (w * u)) = x. T(x,y / (z * u)) = T(x,y / T(u * z,z \ 1)). T(x,y / T(z * u,u \ 1)) = T(x,y / (u * z)). T(x,y / T(z,u \ 1)) = T(x,y / (u * (z / u))). T(x,y / T(z,u \ 1)) != w | T(x,y / T(z,u)) = w. T(x,y / T(z,u)) = T(x,y / (u * (z / u))). T(x,y / (z * (u / z))) = T(x,y / T(u,z)). T(x,y * (z \ (u \ (1 / w)))) = T(x,y * ((1 / z) / (w * u))). T(x,y * ((1 / z) / (u * w))) = T(x,y * (z \ (w \ (1 / u)))). T(x,y * (z * (u \ (w \ 1)))) != v5 | T(x,y * (z * ((u \ 1) / w))) = v5. T(x,y * (z * ((u \ 1) / w))) = T(x,y * (z / (w * u))). T(x,y * (z * (u \ ((1 / w) / v5)))) = T(x,y * (z / (((w \ (v5 \ 1)) \ 1) * u))). T(x,y * (z / (((u \ (w \ 1)) \ 1) * v5))) = T(x,y * (z * (v5 \ ((1 / u) / w)))). T(x,y * (z * (((1 / u) * ((u * w) * v5)) \ (u \ 1)))) = T(x,y * (z / (((1 / u) \ w) * L(v5,u,u)))). T(x,y * (z * (L(u,w,w) \ (((1 / w) \ v5) \ 1)))) = T(x,y * (z / (w * ((1 / w) * ((w * v5) * u))))). T(x,y * (z * ((u \ 1) / (w * v5)))) != v6 | T(x,y * (z / ((v5 \ (w \ 1)) \ u))) = v6. T(x,y * (z / ((u \ (w \ 1)) \ v5))) = T(x,y * (z / ((w * u) * v5))). T(x,y * (T(z,u) * (((u * w) \ 1) / w))) != v5 | T(x,y * (w \ (u \ ((1 / w) * z)))) = v5. T(x,y * (z \ (u \ ((1 / z) * w)))) = T(x,y * (T(w,u) / (z * (u * z)))). T(x,y * (z * (((u * w) \ u) / v5))) = T(x,y * (z * (w \ (1 / v5)))). T(x,y * (z * (((u * w) \ u) * (v5 / v6)))) = T(x,y * (z * (w \ (v5 * (v6 \ 1))))). x != T(y,z * (u \ (w \ 1))) | T(y,z / (w * u)) = x. T(x,y / (z * (u * w))) = T(x,y * ((w \ (u \ 1)) / z)). T(x,y * ((z \ (u \ 1)) / w)) = T(x,y / (w * (u * z))). T(x,y * ((z \ ((z * u) \ 1)) / w)) != v5 | T(x,y * ((z \ (((z \ 1) \ u) \ 1)) / w)) = v5. T(x,y * ((z \ (((z \ 1) \ u) \ 1)) / w)) = T(x,y / (w * ((z * u) * z))). T(x,y * ((z \ (u \ 1)) / w)) != v5 | T(x,y * (((z \ 1) / u) / w)) = v5. T(x,y * (((z \ 1) / u) / w)) = T(x,y / (w * (u * z))). T(x,y * (z / T(u,z))) != w | T(x,y * (u \ z)) = w. T(x,y * (z \ (u \ (w \ 1)))) = T(x,y / (T(z,u \ (w \ 1)) * (w * u))). T(x,y / (T(z,u \ (w \ 1)) * (w * u))) = T(x,y * (z \ (u \ (w \ 1)))). T(x,y * (((z \ 1) / u) / w)) != v5 | T(x,y * ((z \ (1 / u)) / w)) = v5. T(x,y * ((z \ (1 / u)) / w)) = T(x,y / (w * (u * z))). T(x,y * ((((z * u) \ 1) / u) / w)) != v5 | T(x,y * ((u \ (z \ (u \ 1))) / w)) = v5. T(x,y * ((z \ (u \ (z \ 1))) / w)) = T(x,y / (w * (z * (u * z)))). T(x,y * ((z / u) / w)) = T(x,y / (w * (u * (1 / z)))). T(x,y / (z * (u * (1 / w)))) = T(x,y * ((w / u) / z)). T(x,y / (z * ((u / w) * (1 / u)))) != v5 | T(x,y * ((u * (w / u)) / z)) = v5. T(x,y * ((z * (u / z)) / w)) = T(x,y * ((z / (z / u)) / w)). T(x,y * ((z / (z / u)) / w)) = T(x,y * ((z * (u / z)) / w)). T(x,T(y * (z \ (z / u)),w)) != v5 | T(x,T(y / u,w)) = v5. T(x,T(y * (z \ 1),u)) != w | T(x,T(y / z,u)) = w. T(x,T(K(y,z \ 1) * ((y * z) / u),w)) != v5 | T(x,T(T(y * z,z) / u,w)) = v5. T(x,y * ((1 / z) / u)) != w | T(x,y / (u * z)) = w. T(x,y / ((z * u) * w)) = T(x,y * (w \ (u \ (1 / z)))). T(x,y * (z \ (u \ (1 / w)))) = T(x,y / ((w * u) * z)). T(x,y \ (z \ (u \ (1 / w)))) = T(x,(1 / y) / ((w * u) * z)). T(x,(1 / y) / ((z * u) * w)) = T(x,y \ (w \ (u \ (1 / z)))). T(x,y * (z \ (u \ ((w / (1 / v5)) \ 1)))) = T(x,y / ((((w \ 1) \ v5) * u) * z)). T(x,y * (((z \ u) \ u) / w)) = T(x,y * ((u * (z / u)) / w)). T(x,y \ (((z * u) * w) \ 1)) = T(x,y \ (w \ (u \ (1 / z)))). x != T(y,z * ((u * (w / u)) / v5)) | T(y,z * (T(w,u) / v5)) = x. T(x,y * (T(z,u) / w)) = T(x,y * (((z \ u) \ u) / w)). T(x,y * (((z \ u) \ u) / w)) = T(x,y * (T(z,u) / w)). T(x,y * (T(z,z \ u) / w)) = T(x,y * (T(z,u) / w)). T(x,y \ ((z * u) \ 1)) != w | T(x,y \ (u \ (z \ 1))) = w. T(x,y \ (z \ ((u * w) \ 1))) = T(x,y \ (z \ (w \ (1 / u)))). T(x,y \ (z \ (((u \ 1) * w) \ 1))) = T(x,y \ (z \ (w \ u))). T(x,y \ (z \ (((u \ 1) * w) \ 1))) != v5 | T(x,y \ (z \ ((w \ 1) * u))) = v5. T(x,y \ (z \ ((u \ 1) * w))) = T(x,y \ (z \ (u \ w))). T(x,y \ (z \ ((u \ 1) / w))) = T(x,y \ (z \ (u \ (w \ 1)))). T(x,y \ (z \ (u / w))) != v5 | T(x,y \ (z \ (u * (1 / w)))) = v5. T(x,y \ (z \ ((u \ 1) * (1 / w)))) = T(x,y \ (z \ (u \ (w \ 1)))). T(x,y * (z \ ((u \ w) * v5))) = T(x,y * (z \ ((w \ u) \ v5))). T(x,y * (z \ ((u \ w) \ v5))) = T(x,y * (z \ ((w \ u) * v5))). T(x,y \ (z \ ((u \ w) \ v5))) = T(x,(1 / y) * (z \ ((w \ u) * v5))). T(x,(1 / y) * (z \ ((u \ w) * v5))) = T(x,y \ (z \ ((w \ u) \ v5))). 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) \ (T(v5,w \ u) \ 1)))) = T(x,y * (z \ (v5 \ (w \ u)))). T(x,y * (z \ ((u / w) \ v5))) = T(x,y * (z \ ((w \ (w * (w / u))) * v5))). T(x,y * (z \ ((u \ (u * (u / w))) * v5))) = T(x,y * (z \ ((w / u) \ v5))). T(x,y * (z \ (u * (1 / w)))) != v5 | T(x,y * (z \ (u / w))) = v5. T(x,y * (z \ ((u \ 1) / w))) = T(x,y * (z \ (u \ (1 / w)))). x != T(y,z * (u \ (w \ (1 / v5)))) | T(y,z / ((v5 * w) * u)) = x. T(x,y / ((z * u) * w)) = T(x,y * (w \ ((u \ 1) / z))). T(x,y * (z \ ((u \ 1) / w))) = T(x,y / ((w * u) * z)). T(x,T(y,z * (u / w)) * (z * (u / w))) = T(x,(z / (w / u)) * y). K(x,L(y * ((z / u) * w),v5,v6)) = K(x,L(y * ((u / z) \ w),v5,v6)). K(x,L(y * ((z / u) \ w),v5,v6)) = K(x,L(y * ((u / z) * w),v5,v6)). T(x,y * (z / (u \ w))) != v5 | T(x,y * (z * (w \ u))) = v5. T(x,y * (z * (u \ (w \ (v5 \ 1))))) = T(x,y * (z / ((v5 * w) * u))). x != T(y,z * (u * (w \ (1 / v5)))) | T(y,z * (u / (v5 * w))) = x. T(x,y * (z / (u * w))) = T(x,y * (z * (((v5 * w) \ v5) / u))). T(x,y * (z * (((u * w) \ u) / v5))) = T(x,y * (z / (v5 * w))). T(x,y * (z * ((u \ w) / v5))) = T(x,y * (z / (v5 * (w \ u)))). T(x,y * (z / (u * (w \ v5)))) = T(x,y * (z * ((v5 \ w) / u))). T(x,y * (z * ((u / w) / v5))) = T(x,y * (z / (v5 * (w / u)))). T(x,y * (z / (u * (w / v5)))) = T(x,y * (z * ((v5 / w) / u))). x != T(y,z * (u * (w / T(v5,w)))) | T(y,z * (u * (v5 \ w))) = x. T(x,y * (z * (u \ (w \ v5)))) = T(x,y * (z / (T(u,w \ v5) * (v5 \ w)))). T(x,y * (z / (T(u,w \ v5) * (v5 \ w)))) = T(x,y * (z * (u \ (w \ v5)))). T(x,y * ((z \ 1) / (L(u,z,z) * (w / z)))) != v5 | T(x,y / (z \ ((z * u) * w))) = v5. T(x,y / (z \ ((z * u) * w))) = T(x,y * ((z \ 1) * ((z / w) / L(u,z,z)))). T(x,y * ((z \ 1) * ((z / u) / L(w,z,z)))) = T(x,y / (z \ ((z * w) * u))). T(x,y / (z * (u * (z * u)))) != w | T(x,(z * u) \ ((z * u) \ y)) = w. T(x,y \ (z \ ((u \ 1) * w))) != v5 | T(x,y \ (z \ (u \ w))) = v5. T(x,y \ (z \ (u \ (1 / w)))) = T(x,y \ (z \ (u \ (w \ 1)))). T(x,y \ (z \ (u \ (1 / z)))) != w | T(x,y \ ((u * z) \ (z \ 1))) = w. T(x,y \ ((z * u) \ (u \ 1))) = T(x,y \ (u \ (z \ (u \ 1)))). T(x,y \ (z \ ((u \ w) * v5))) = T(x,y \ (z \ ((w \ u) \ v5))). T(x,y \ (z \ ((u \ w) \ v5))) = T(x,y \ (z \ ((w \ u) * v5))). 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 / (T(z,u) / u)) * w) != v5 | T(x,(y / (u \ z)) * w) = v5. T(x,(y / (z \ u)) * w) = T(x,(y * (z / T(u,z))) * w). T(x,(y * (z / T(u,z))) * w) = T(x,(y / (z \ u)) * w). T(x,(y * (z / T(u,z))) * w) != v5 | T(x,(y * (u \ z)) * w) = v5. 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,((1 / (y \ z)) * u) * w) = T(x,(T(u,y \ z) * (z \ y)) * w). T(x,(T(y,z \ u) * (u \ z)) * w) = T(x,((1 / (z \ u)) * y) * w). 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). T(x,(y / (z * u)) * w) = T(x,(y * (z \ T(1 / u,z))) * w). T(x,(y * (z \ T(1 / u,z))) * w) = T(x,(y / (z * u)) * w). T(x,y) \ T(T(x,(z * (u \ w)) * v5),y) = K(x,T((z / (w \ u)) * v5,y)). T(T(x,(y * (z \ u)) * w),K(v5,(y / (u \ z)) * w)) = T(x,T((y / (u \ z)) * w,v5)). K(x,(y * (z \ u)) * w) = K(x,(y / (u \ z)) * w). K(x,(y / (z \ u)) * w) = K(x,(y * (u \ z)) * w). T(x,(y * (z \ T(u,z))) * w) != v5 | T(x,(y * (u / z)) * w) = v5. T(x,(y * ((1 / z) / u)) * w) = T(x,(y / (u * z)) * w). T(x,(y * ((1 / z) / u)) * w) != v5 | T(x,(y * (z \ (u \ 1))) * w) = v5. T(x,(y * (z \ (u \ 1))) * w) = T(x,(y / (u * z)) * w). K(x,L(y * ((z / u) \ 1),w,v5)) = K(x,L(y * (u / z),w,v5)). K(x,L(y * ((T(z,u) / 1) \ u),w,v5)) = K(x,L(y * (u / z),w,v5)). K(x,L(y * (z \ 1),u,w)) != v5 | K(x,L(y / z,u,w)) = v5. K(x,L(y / (z / u),w,v5)) = K(x,L(y * (u / z),w,v5)). T(x,y * (z \ (u \ (w \ (v5 \ 1))))) = T(x,y * ((z \ 1) / ((v5 * w) * u))). T(x,y * ((z \ 1) / ((u * w) * v5))) = T(x,y * (z \ (v5 \ (w \ (u \ 1))))). T(x,((1 / (y \ z)) / u) * w) = T(x,(T(1 / u,y \ z) * (z \ y)) * w). T(x,(T(1 / y,z \ u) * (u \ z)) * w) = T(x,((1 / (z \ u)) / y) * w). K(x,L(y * (T(z,u) \ u),w,v5)) = K(x,L(y * (u / z),w,v5)). K(x,L(y * (z * (u \ 1)),w,v5)) = K(x,L(y * (z / u),w,v5)). T(x,T(y,z \ (u \ 1)) / (u * z)) = T(x,(z \ (w \ (w / u))) * y). T(x,(((y * z) \ 1) \ 1) \ u) = T(x,(z \ (w \ (w / y))) * u). T(x,(y * z) \ u) = T(x,(z \ (w \ (w / y))) * u). T(x,(y \ (z \ (z / u))) * w) = T(x,(u * y) \ w). T(x,(y \ (1 / z)) * u) = T(x,(z * y) \ u). T(x,(y \ (z \ u)) * w) = T(x,((u \ z) * y) \ w). T(x,((y \ z) * u) \ w) = T(x,(u \ (z \ y)) * w). T(x,((y \ z) * u) \ (K(w,(u \ (z \ y)) \ 1) * v5)) = T(x,T(u \ (z \ y),(u \ (z \ y)) * w) * v5). T(T(x,K(y,(z / u) * w)),y * ((z / u) * w)) = T(x,((u / z) \ w) * y). T(x,T((y * z) \ u,w)) = T(x,T((z \ (y \ 1)) * u,w)). T(x,T((y \ (z \ 1)) * u,w)) = T(x,T((z * y) \ u,w)). T(x,T(y \ (z \ 1),u)) = T(x,T((z * y) \ 1,u)). T(x,T((y * z) \ 1,u)) = T(x,T(z \ (y \ 1),u)). T(x,T((y \ z) * u,w)) = T(x,T(((1 / z) * y) \ u,w)). T(x,T(((1 / y) * z) \ u,w)) = T(x,T((z \ y) * u,w)). T(x,T((y / (1 / (z \ (u \ 1)))) \ 1,w)) = T(x,T((u * z) \ (((z \ (u \ 1)) * y) \ (1 / (z \ (u \ 1)))),w)). T(x,T((y * z) \ (((z \ (y \ 1)) * u) \ (1 / (z \ (y \ 1)))),w)) = T(x,T((u / (1 / (z \ (y \ 1)))) \ 1,w)). T(x,T(y \ 1,z)) != u | T(x,T(y,z) \ 1) = u. T(x,T(y * z,u) \ 1) = T(x,T(z \ (y \ 1),u)). T(x,T(y \ (z \ 1),u)) = T(x,T(z * y,u) \ 1). T(x,T(y \ (z \ 1),u)) != w | T(x,T((y \ 1) / z,u)) = w. T(x,T((y \ 1) / z,u)) = T(x,T(z * y,u) \ 1). T(x,T(y \ (z \ (u \ 1)),w)) = T(x,T(y \ ((u * z) \ 1),w)). T(x,T(y \ ((z * u) \ 1),w)) = T(x,T(y \ (u \ (z \ 1)),w)). T(x,T(y \ (z \ 1),u)) != w | T(x,T(z * y,u) \ 1) = w. T(x,T((y * z) * u,w) \ 1) = T(x,T(u \ (z \ (y \ 1)),w)). T(x,T(y \ (z \ (u \ 1)),w)) = T(x,T((u * z) * y,w) \ 1). T(x \ y,z * (x \ y)) \ u != w | K(z,y \ x) * ((x \ y) \ u) = w. K(x,y \ z) * ((z \ y) \ (x * ((y \ z) \ 1))) = (z \ y) \ ((y \ z) \ x). T(x,y * ((z \ ((u \ 1) * (1 / z))) / w)) = T(x,y / (w * ((z * u) * z))). T(x,y / ((1 / (z * u)) \ w)) = T(x,y * (w \ (u \ (z \ 1)))). T(x,y / (z \ u)) != w | T(x,y * (u \ z)) = w. T(x,y * (z \ (1 / (u * w)))) = T(x,y * (z \ (w \ (u \ 1)))). T(x,y / ((z * u) * w)) = T(x,y * (w \ (u \ (z \ 1)))). T(x,y * (z \ (u \ (w \ 1)))) = T(x,y / ((w * u) * z)). T(x,y * (z \ (u \ (w \ 1)))) != v5 | T(x,y * (z \ ((1 / u) / w))) = v5. T(x,y * (z \ ((1 / u) / w))) = T(x,y / ((w * u) * z)). T(x,y * (z \ ((u / w) * v5))) = T(x,y * (z \ ((w / u) \ v5))). T(x,y * (z \ ((u / w) \ v5))) = T(x,y * (z \ ((w / u) * v5))). T(x,(y \ ((z / u) \ w)) * v5) = T(x,T(v5,y \ ((z / u) \ w)) * (y \ ((u / z) * w))). T(x,T(y,z \ ((u / w) \ v5)) * (z \ ((w / u) * v5))) = T(x,(z \ ((u / w) \ v5)) * y). T(x,y * (T(z,u) \ u)) != w | T(x,y * (u / z)) = w. T(x,y * (((z / u) \ w) / v5)) = T(x,y * (T(v5,(z / u) \ w) \ ((u / z) * w))). T(x,y * (T(z,(u / w) \ v5) \ ((w / u) * v5))) = T(x,y * (((u / w) \ v5) / z)). T(x,y * (z \ ((u / w) \ (T(v5,w / u) \ 1)))) = T(x,y * (z \ (v5 \ (w / u)))). T(x,y * (z / ((1 / (u \ w)) \ v5))) = T(x,y * (z * (v5 \ (w \ u)))). T(x,y * (z * (u \ (1 / (w \ v5))))) = T(x,y * (z * (u \ (v5 \ w)))). T(x,y * (z * (u \ (1 / w)))) != v5 | T(x,y * (z / (w * u))) = v5. T(x,y * (z / ((u \ w) * v5))) = T(x,y * (z * (v5 \ (w \ u)))). K(x,T((y / (z \ u)) * w,v5)) != v6 | K(x,T((y * (u \ z)) * w,v5)) = v6. T(x,y / (((z * u) * w) * v5)) = T(x,y * (v5 \ (w \ (u \ (z \ 1))))). T(x,y * (z \ (u \ (w \ (v5 \ 1))))) = T(x,y / (((v5 * w) * u) * z)). x != T(y,((1 / z) / u) * w) | T(y,(u * z) \ w) = x. T(x,(y * (z \ u)) \ w) = T(x,(T(1 / y,z \ u) * (u \ z)) * w). T(x,(T(1 / y,z \ u) * (u \ z)) * w) = T(x,(y * (z \ u)) \ w). T(x,((1 / (y \ z)) \ (1 / u)) * w) = T(x,(u * (z \ y)) \ w). T(x,(y \ (1 / z)) * u) != w | T(x,(z * y) \ u) = w. T(x,(y * (1 / (z \ u))) \ w) = T(x,(y * (u \ z)) \ w). T(x,(y * (1 / z)) \ u) != w | T(x,(z / y) * u) = w. T(x,((y \ z) / u) * w) = T(x,(u * (z \ y)) \ w). T(x,(y * (z \ u)) \ w) = T(x,((u \ z) / y) * w). T(x,y) \ T(T(x,((z \ u) / w) * v5),y) = K(x,T((w * (u \ z)) \ v5,y)). T(x,((y / z) * u) * w) = T(x,((z / y) \ u) * w). T(x,((y / z) \ u) * w) = T(x,((z / y) * u) * w). x * y != T(z,((u / w) \ v5) * v6) | x \ T(z,((w / u) * v5) * v6) = y. x \ T(x,((y / z) * u) * w) = K(x,((z / y) \ u) * w). T(x,(y \ z) * u) = T(x,(((y \ w) / w) * z) * u). T(x,(((y \ z) / z) * u) * w) = T(x,(y \ u) * w). T(T(x,((y / z) * u) * w),K(v5,((z / y) \ u) * w)) = T(x,T(((z / y) \ u) * w,v5)). T(x,(((y * z) \ y) * u) * w) = T(x,(z \ u) * w). T(x,((y \ z) * u) * w) = T(x,((z \ y) \ u) * w). T(x,((y \ z) \ u) * w) = T(x,((z \ y) * u) * 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). T(x,y * (((z \ (u \ 1)) / z) / w)) = T(x,y / (w * ((z * u) * z))). T(x,y * (((z * u) \ (1 / u)) / w)) = T(x,y / (w * ((u * z) * u))). T(x,y * ((z \ (1 / u)) / w)) != v5 | T(x,y / (w * (u * z))) = v5. T(x,y / (z * (u * (w * u)))) = T(x,y / (z * ((u * w) * u))). T(x,y / (z * ((u * w) * u))) = T(x,y / (z * (u * (w * u)))). K(x,T((y * (z \ u)) \ w,v5)) != v6 | K(x,T(((u \ z) / y) * w,v5)) = v6. T(x,y * (z * (u / L(w,v5,v5)))) != v6 | T(x,y * (z * (u / w))) = v6. T(x,y * ((z \ 1) * ((z / u) / w))) = T(x,y / (z \ ((z * w) * u))). T(x,y * (z \ ((z / u) / w))) = T(x,y / (z \ ((z * w) * u))). T(x,y / (z \ ((z * u) * w))) = T(x,y * (z \ ((z / w) / u))). T(x,y * (((z * u) * w) \ z)) = T(x,y * (z \ ((z / w) / u))). T(x,y * (T(z,u * (w \ v5)) * (u * (w \ v5)))) = T(x,y * ((u / (v5 \ w)) * z)). T(x,y * (T(z,(u \ w) * v5) * ((u \ w) * v5))) = T(x,y * (((w \ u) \ v5) * z)). T(x,y * (z / ((u \ w) * v5))) != v6 | T(x,y * (z * (v5 \ (w \ u)))) = v6. T(x,y * (z * (u \ (1 \ (w \ (v5 \ 1)))))) = T(x,y * (z * (u \ ((1 / w) / v5)))). T(x,y * (z * (((u * w) \ u) * v5))) != v6 | T(x,y * (z * (w \ v5))) = v6. T(x,y * (z * (u \ (w / v5)))) = T(x,y * (z * (u \ (w * (v5 \ 1))))). T(x,y * (z * (u \ (w * (v5 \ 1))))) = T(x,y * (z * (u \ (w / v5)))). T(x,T(y * (z \ (u * (w \ 1))),v5)) = T(x,K(v5,y * (z \ (u * (w \ 1)))) * (y * (z \ (u / w)))). T(x,K(y,z * (u \ (w * (v5 \ 1)))) * (z * (u \ (w / v5)))) = T(x,T(z * (u \ (w * (v5 \ 1))),y)). T(x,y * (z \ (u \ (w \ 1)))) != v5 | T(x,y / ((w * u) * z)) = v5. T(x,y / (((z / (1 / u)) * w) * v5)) = T(x,y / ((((z \ 1) \ u) * w) * v5)). T(x,y / ((T(z,u \ w) * (w \ u)) * v5)) = T(x,y * (v5 \ (z \ (u \ w)))). T(x,y / (((1 / (z \ u)) \ w) * v5)) = T(x,y * (v5 \ (w \ (u \ z)))). T(x,y / ((z \ u) * w)) != v5 | T(x,y * (w \ (u \ z))) = v5. T(x,y * (z \ (u \ (1 / (w \ v5))))) = T(x,y * (z \ (u \ (v5 \ w)))). T(x,y * (z \ (u \ (1 / w)))) != v5 | T(x,y / ((w * u) * z)) = v5. T(x,y / (((z \ u) * w) * v5)) = T(x,y * (v5 \ (w \ (u \ z)))). T(x,y * (T(z,(u / w) * v5) \ ((u / w) * v5))) = T(x,y * (((w / u) \ v5) / z)). T(x,y / ((T(z,u / w) * (w / u)) * v5)) = T(x,y * (v5 \ (z \ (u / w)))). T(x,y / (((1 / (z / u)) \ w) * v5)) = T(x,y * (v5 \ (w \ (u / z)))). T(x,y * (z \ (u \ (1 / (w / v5))))) = T(x,y * (z \ (u \ (v5 / w)))). T(x,y / (((z / u) * w) * v5)) = T(x,y * (v5 \ (w \ (u / z)))). T(x,y / (((z / (1 / u)) * w) * v5)) != v6 | T(x,y / ((((z \ 1) \ u) * w) * v5)) = v6. T(x,y / ((((z \ 1) \ u) * w) * v5)) = T(x,y * (v5 \ (w \ ((1 / u) / z)))). T(x,y / (((z \ u) * w) * v5)) != v6 | T(x,y * (v5 \ (w \ (u \ z)))) = v6. T(x,y * (z \ (u \ (w \ (v5 \ 1))))) = T(x,y * (z \ (u \ ((1 / w) / v5)))). T(x,y * (z \ (u \ ((1 / w) / v5)))) = T(x,y * (z \ (u \ (w \ (v5 \ 1))))). x != T(y,z * (u \ (w \ (v5 \ (v6 \ 1))))) | T(y,z / (((v6 * v5) * w) * u)) = x. T(x,y / (((z * u) * w) * v5)) = T(x,y * (v5 \ (w \ ((1 / u) / z)))). T(x,y * (z \ (u \ ((1 / w) / v5)))) = T(x,y / (((v5 * w) * u) * z)). T(x,y * ((z * (u \ w)) * v5)) = T(x,y * ((z / (w \ u)) * v5)). T(x,y * ((z / (u \ w)) * v5)) = T(x,y * ((z * (w \ u)) * v5)). T(x,y * ((z / (L(u,w,w) \ 1)) * v5)) != v6 | T(x,y * ((z * u) * v5)) = v6. T(x,y * ((z * u) * w)) = T(x,y * ((z * (1 \ L(u,v5,v5))) * w)). T(x,y * ((z * (1 \ L(u,w,w))) * v5)) = T(x,y * ((z * u) * v5)). T(x,y * ((z * L(u,w,w)) * v5)) = T(x,y * ((z * u) * v5)). T(x,y * (z \ (u * L(w,v5,v5)))) = T(x,y * ((u * w) * (T(z,u * L(w,v5,v5)) \ 1))). T(x,y * ((z * u) * (T(w,z * L(u,v5,v5)) \ 1))) = T(x,y * (w \ (z * L(u,v5,v5)))). T(x,y * (((z \ u) * w) * v5)) = T(x,y * (((u \ z) \ w) * v5)). T(x,y * (((z \ u) \ w) * v5)) = T(x,y * (((u \ z) * w) * v5)). T(x,(((y \ z) \ u) * w) * v5) = T(x,T(v5,((y \ z) \ u) * w) * (((z \ y) * u) * w)). T(x,T(y,((z \ u) \ w) * v5) * (((u \ z) * w) * v5)) = T(x,(((z \ u) \ w) * v5) * y). T(x,y * ((z \ (u \ 1)) * w)) != v5 | T(x,y * ((u * z) \ w)) = v5. T(x,y * ((z * (u \ w)) \ v5)) = T(x,y * (((w \ u) * (z \ 1)) * v5)). T(x,y * (((z \ u) * (w \ 1)) * v5)) = T(x,y * ((w * (u \ z)) \ v5)). T(x,y * ((z * (u \ 1)) * w)) != v5 | T(x,y * ((z / u) * w)) = v5. T(x,y * (((z \ u) / w) * v5)) = T(x,y * ((w * (u \ z)) \ v5)). T(x,y * ((z * (u \ w)) \ v5)) = T(x,y * (((w \ u) / z) * v5)). T(x,y \ ((z * (u \ w)) \ v5)) = T(x,(1 / y) * (((w \ u) / z) * v5)). T(x,(1 / y) * (((z \ u) / w) * v5)) = T(x,y \ ((w * (u \ z)) \ v5)). T(x,y \ (((z \ u) / w) * v5)) = T(x,y \ ((w * (u \ z)) \ v5)). T(x,y \ ((z * (u \ w)) \ v5)) = T(x,y \ (((w \ u) / z) * v5)). T(x,y \ ((z * u) \ w)) = T(x,y \ (((u \ 1) / z) * w)). T(x,y \ (((z \ 1) / u) * w)) = T(x,y \ ((u * z) \ w)). T(x,y \ ((z * T(u,u \ w)) \ v5)) = T(x,y \ (((w \ (u \ w)) / z) * v5)). T(x,y \ ((z * (u / w)) \ v5)) = T(x,y \ (((w \ (w * (w / u))) / z) * v5)). T(x,y \ (((z \ (z * (z / u))) / w) * v5)) = T(x,y \ ((w * (u / z)) \ v5)). T(x,y \ (((z \ (u \ z)) / w) * v5)) = T(x,y \ ((w * T(u,z)) \ v5)). x != T(y,z \ (((u \ (w \ u)) / v5) * v6)) | T(y,z \ ((v5 * T(w,u)) \ v6)) = x. T(x,y \ ((z * T(u,w)) \ v5)) = T(x,y \ ((z * T(u,u \ w)) \ v5)). T(x,y \ ((z * T(u,u \ w)) \ v5)) = T(x,y \ ((z * T(u,w)) \ v5)). T(x,y \ ((z * T(u,u \ 1)) \ w)) != v5 | T(x,y \ ((u \ (1 / z)) * w)) = v5. T(x,y \ ((z \ (1 / u)) * w)) = T(x,y \ ((u * T(z,1)) \ w)). T(x,y \ ((z * T(u,1)) \ w)) = T(x,y \ ((u \ (1 / z)) * w)). T(x,y \ ((z * u) \ w)) = T(x,y \ ((u \ (1 / z)) * w)). T(x,y \ ((z \ (1 / u)) * w)) = T(x,y \ ((u * z) \ w)). T(x,y \ (((z / u) / w) * v5)) = T(x,y \ ((w * (u / z)) \ v5)). T(x,y \ ((z * (u / w)) \ v5)) = T(x,y \ (((w / u) / z) * v5)). x * y != T(z,u \ ((w * (v5 / v6)) \ v7)) | x \ T(z,u \ (((v6 / v5) / w) * v7)) = y. x \ T(x,y \ (((z / u) / w) * v5)) = K(x,y \ ((w * (u / z)) \ v5)). K(x,y \ ((z * (u / w)) \ v5)) != v6 | K(x,y \ (((w / u) / z) * v5)) = v6. T(x,y * (z * (u \ (w \ (v5 \ 1))))) = T(x,y * (z * (u \ ((1 / w) / v5)))). T(x,y * (z * (u \ ((1 / w) / v5)))) = T(x,y * (z * (u \ (w \ (v5 \ 1))))). x != T(y,z * (u * (w \ (v5 \ (v6 \ 1))))) | T(y,z * (u / ((v6 * v5) * w))) = x. T(x,y * (z / ((u * w) * v5))) = T(x,y * (z * (v5 \ ((1 / w) / u)))). T(x,y * (z * (u \ ((1 / w) / v5)))) = T(x,y * (z / ((v5 * w) * u))). T(x,y * (T(z,u) \ u)) != w | T(x,y * (u * (z \ 1))) = w. T(x,y * (((z / u) * w) * (v5 \ 1))) = T(x,y * (((u / z) \ w) / v5)). x != T(y,z * (u / (1 / w))) | T(y,z * (u * w)) = x. T(x,y * (((z / u) \ w) * v5)) = T(x,y * (((u / z) * w) * ((1 / v5) \ 1))). T(x,y * (((z / u) * w) * ((1 / v5) \ 1))) = T(x,y * (((u / z) \ w) * v5)). T(x,y * (((z / u) * w) * v5)) = T(x,y * (((u / z) \ w) * v5)). T(x,y * (((z / u) \ w) * v5)) = T(x,y * (((u / z) * w) * v5)). T(x,y * (((z / u) \ K(w,u / z)) * v5)) = T(x,y * (T(u / z,w) * v5)). T(x,y * (T((z / u) \ 1,w) * v5)) = T(x,y * (T(u / z,w) * v5)). T(x,y * (T(z \ 1,u) * w)) = T(x,y * (T(1 / z,u) * w)). T(x,y * (T(1 / z,u) * w)) = T(x,y * (T(z \ 1,u) * w)). T(x,y * (T(1 / z,u) * w)) != v5 | T(x,y * (T(z,u) \ w)) = v5. T(x,y * (T(z,u) \ w)) = T(x,y * (T(z \ 1,u) * w)). T(x,y * (T(z \ 1,u) * w)) = T(x,y * (T(z,u) \ w)). T(x,y * (T((z / u) \ 1,w) * v5)) != v6 | T(x,y * (T(u / z,w) * v5)) = v6. T(x,y * (T(z / u,w) * v5)) = T(x,y * (T(u / z,w) \ v5)). T(x,y * (T(z / u,w) \ v5)) = T(x,y * (T(u / z,w) * v5)). T(x,T(y,z * (u * (w \ v5))) * (z * (u * (w \ v5)))) = T(x,(z * (u / (v5 \ w))) * y). T(T(x,y * ((z \ u) * w)),K(v5,y * ((z \ u) * w))) = T(x,T(y * ((u \ z) \ w),v5)). T(T(x,(y * (z \ u)) * w),K(v5,(y * (z \ u)) * w)) = T(x,T((y / (u \ z)) * w,v5)). T(x,T(y,z \ ((u / w) * v5)) * (z \ ((u / w) * v5))) = T(x,(z \ ((w / u) \ v5)) * y). T(T(x,((y / z) * u) * w),K(v5,((y / z) * u) * w)) = T(x,T(((z / y) \ u) * w,v5)). T(x,y * ((z * u) * (T(w,z * u) \ 1))) = T(x,y * (w \ (z * L(u,v5,v5)))). T(x,y * (z \ (u * L(w,v5,v5)))) = T(x,y * ((u * w) * (T(z,u * w) \ 1))). T(x,y * (z \ (u * L(w,v5,v5)))) = T(x,y * (z \ (u * w))). T(x,y * (z \ ((u \ w) * L(v5,u,u)))) != v6 | T(x,y * (z \ (((1 / u) * w) * v5))) = v6. T(x,y * (z \ (((1 / u) * w) * v5))) = T(x,y * (z \ ((u \ w) * v5))). T(x,y * (z \ (u \ ((1 / w) * v5)))) = T(x,y * (z \ ((w \ v5) * (T(u,(1 / w) * v5) \ 1)))). T(x,y * (z \ ((u \ w) * (T(v5,(1 / u) * w) \ 1)))) = T(x,y * (z \ (v5 \ ((1 / u) * w)))). T(x,T(y,((z \ u) * w) * v5) * (((z \ u) * w) * v5)) = T(x,(((u \ z) \ w) * v5) * y). T(x,(y * (z / (u \ w))) * v5) != v6 | T(x,(y * (z * (w \ u))) * v5) = v6. T(x,T(y * ((z \ u) * w),v5)) = T(x,T(y * ((u \ z) \ w),v5)). T(x,T(y * ((z \ u) \ w),v5)) = T(x,T(y * ((u \ z) * w),v5)). T(x,T((y * (z \ u)) * w,v5)) = T(x,T((y / (u \ z)) * w,v5)). T(x,T((y / (z \ u)) * w,v5)) = T(x,T((y * (u \ z)) * w,v5)). T(x,T((y / (z / u)) * w,v5)) = T(x,T((y * (u \ (u * (u / z)))) * w,v5)). T(x,T((y * (z \ (z * (z / u)))) * w,v5)) = T(x,T((y / (u / z)) * w,v5)). T(x,T((y * (z / u)) * w,v5)) = T(x,T((y / (u / z)) * w,v5)). T(x,T((y / (z / u)) * w,v5)) = T(x,T((y * (u / z)) * w,v5)). T(x,T((y / (z / u)) / w,v5)) = T(x,T((y * (u / z)) * (v6 \ (v6 / w)),v5)). T(x,T((y * (z / u)) * (w \ (w / v5)),v6)) = T(x,T((y / (u / z)) / v5,v6)). T(x,T((y / (1 / z)) * u,w)) = T(x,T((y * z) * u,w)). T(x,T(y \ (z / (u / w)),v5)) = T(x,T((z * (w / u)) * (T(y,z / (u / w)) \ 1),v5)). T(x,T((y * (z / u)) * (T(w,y / (u / z)) \ 1),v5)) = T(x,T(w \ (y / (u / z)),v5)). T(x,T((y * (z / u)) / w,v5)) = T(x,T((y / (u / z)) / w,v5)). T(x,T((y / (z / u)) / w,v5)) = T(x,T((y * (u / z)) / w,v5)). T(x,T((y / ((1 / y) / z)) / u,w)) = T(x,T(T((z * y) * y,y) / u,w)). T(x,T(T((y * z) * z,z) / u,w)) = T(x,T((z / ((1 / z) / y)) / u,w)). T(x,T(T((y * z) * z,z) / u,w)) = T(x,T((z * ((y \ 1) \ z)) / u,w)). T(x,(y \ ((z / u) * w)) * v5) = T(x,(y \ ((u / z) \ w)) * v5). T(x,(y \ ((z / u) \ w)) * v5) = T(x,(y \ ((u / z) * w)) * v5). T(x,((1 / y) \ z) * u) != w | T(x,(y * z) * u) = w. T(x,(y * ((z / u) \ w)) * v5) = T(x,((1 / y) \ ((u / z) * w)) * v5). T(x,((1 / y) \ ((z / u) * w)) * v5) = T(x,(y * ((u / z) \ w)) * v5). T(x,(y * ((z / u) * w)) * v5) = T(x,(y * ((u / z) \ w)) * v5). T(x,(y * ((z / u) \ w)) * v5) = T(x,(y * ((u / z) * w)) * v5). x != T(y,(z * (u * (w \ 1))) * v5) | T(y,(z * (u / w)) * v5) = x. T(x,(y * ((z / u) / w)) * v5) = T(x,(y * ((u / z) \ (w \ 1))) * v5). T(x,(y * ((z / u) \ (w \ 1))) * v5) = T(x,(y * ((u / z) / w)) * v5). T(x,(y * (z / (u / w))) * v5) = T(x,(y * ((w / u) * T(z,u / w))) * v5). T(x,(y * ((z / u) * T(w,u / z))) * v5) = T(x,(y * (w / (u / z))) * v5). T(x,(y * (z \ (u \ 1))) * w) != v5 | T(x,(y / (u * z)) * w) = v5. T(x,(y / (z * (u / w))) * v5) = T(x,(y * ((w / u) / z)) * v5). T(x,(K(y,(z / u) / w) / (w * (u / z))) * v5) = T(x,T((z / u) / w,y) * v5). T(x,(y * (z / ((u / w) \ 1))) * v5) = T(x,(y * (z / (w / u))) * v5). T(x,(y * (z / (u \ 1))) * w) != v5 | T(x,(y * (z * u)) * w) = v5. T(x,(y * (z * (u / w))) * v5) = T(x,(y * (z / (w / u))) * v5). T(x,(y * (z / (u / w))) * v5) = T(x,(y * (z * (w / u))) * v5). T(x,T(1 / (y * (z / u)),w) * v5) = T(x,T((u / z) / y,w) * v5). T(x,T(1 / y,z) * u) != w | T(x,T(y,z) \ u) = w. T(x,T(y * (z / u),w) \ v5) = T(x,T((u / z) / y,w) * v5). T(x,T(((y / z) * u) * w,v5)) = T(x,T(((z / y) \ u) * w,v5)). T(x,T(((y / z) \ u) * w,v5)) = T(x,T(((z / y) * u) * w,v5)). T(x,y * (y * (z * (u / y)))) = T(x,T(((y / 1) * z) * u,y)). T(x,T(((y / 1) * z) * u,y)) = T(x,y * (y * (z * (u / y)))). T(x,T((y * z) * u,y)) = T(x,y * (y * (z * (u / y)))). T(x,y * (y * (z * (u / y)))) = T(x,T((y * z) * u,y)). T(x,(((y \ z) \ u) * w) * v5) != v6 | T(x,(((z \ y) * u) * w) * v5) = v6. T(x,T((y * (z / u)) * (T(w,y * (z / u)) \ 1),v5)) = T(x,T(w \ (y / (u / z)),v5)). T(x,T(y \ (z * (u / w)),v5)) = T(x,T(y \ (z / (w / u)),v5)). T(x,T(y \ (z / (u / w)),v5)) = T(x,T(y \ (z * (w / u)),v5)). T(x,T(y \ ((z \ u) * u),w)) = T(x,T(y \ (u * ((u / z) / 1)),w)). T(x,T(y \ (z * ((z / u) / 1)),w)) = T(x,T(y \ ((u \ z) * z),w)). T(x,T(y \ (z * (z / u)),w)) = T(x,T(y \ ((u \ z) * z),w)). T(x,T(y \ ((z \ u) * u),w)) = T(x,T(y \ (u * (u / z)),w)). R(x,y * (z / y),y * (((z / y) / (1 / y)) \ 1)) = L(x,(1 / y) * (z \ 1),y * (z / y)). T(x,y * (T(z,u * (w / v5)) * (u * (w / v5)))) = T(x,y * ((u * (w * (1 / v5))) * z)). T(x,y * ((z * (u / w)) * v5)) = T(x,y * ((z * (u * (1 / w))) * v5)). T(x,y * ((z * (u * (1 / w))) * v5)) = T(x,y * ((z * (u / w)) * v5)). T(x,y * ((z \ (u * (1 / w))) * v5)) = T(x,y * (((z \ 1) * (u / w)) * v5)). T(x,y * ((z \ (u / w)) * v5)) = T(x,y * ((z \ (u * (1 / w))) * v5)). T(x,y * ((z \ (u * (1 / w))) * v5)) = T(x,y * ((z \ (u / w)) * v5)). L(x,y * (z * ((u \ w) * K(v5,v5 \ 1))),v6) = L(x,y * (z * ((((v5 * u) \ 1) * v5) * w)),v6). T(x,y * (z \ ((u \ w) * (T(v5,u \ w) \ 1)))) = T(x,y * (z \ (v5 \ ((1 / u) * w)))). T(x,y * (z \ (u \ (w \ v5)))) = T(x,y * (z \ (u \ ((1 / w) * v5)))). T(x,y * (z \ (u \ ((1 / w) * v5)))) = T(x,y * (z \ (u \ (w \ v5)))). T(x,y * (z \ (u \ ((1 / z) * w)))) != v5 | T(x,y * (T(w,u) / (z * (u * z)))) = v5. T(x,y * (T(z,u) / (w * (u * w)))) = T(x,y * (w \ (u \ (w \ z)))). R(x,y * (z / y),y * (L(z,y,y) \ 1)) = L(x,(1 / y) * (z \ 1),y * (z / y)). R(x,y * (z / y),(1 / y) \ (z \ 1)) = L(x,(1 / y) * (z \ 1),y * (z / y)). L(x,y * (z * (u * K(w,w \ 1))),v5) != v6 | L(x,y * (z * u),v5) = v6. L(x,y * (z * (u \ w)),v5) = L(x,y * (z * ((((v6 * u) \ 1) * v6) * w)),v5). L(x,y * (z * ((((u * w) \ 1) * u) * v5)),v6) = L(x,y * (z * (w \ v5)),v6). (T(x,x \ y) / y) \ (((T(x,x \ y) / y) * z) * u) = (y \ x) \ (((y \ x) * z) * u). (T(x \ y,x) / (x * (y / x))) \ (((T(x \ y,(x \ y) \ (x * (y / x))) / (x * (y / x))) * z) * u) = ((x * (y / x)) \ (x \ y)) \ ((((x * (y / x)) \ (x \ y)) * z) * u). x != L(y,z * T(u * w,u),v5) | L(y,z * (w * u),v5) = x. L(x,y * (z * x),y * (z * x)) = (x * ((x \ y) * z)) * ((x \ (x * ((x \ y) * z))) \ 1). (x * ((x \ y) * z)) * ((x \ (x * ((x \ y) * z))) \ 1) = L(x,y * (z * x),y * (z * x)). (x * ((x \ y) * z)) * (((x \ y) * z) \ 1) = L(x,y * (z * x),y * (z * x)). L(x,(x \ y) * z,(x \ y) * z) = L(x,y * (z * x),y * (z * x)). ((1 / ((1 / x) \ y)) \ a(1 / ((1 / x) \ y),x,y \ (1 / x))) * x = x / ((y * x) \ 1). ((1 / ((1 / x) \ y)) \ a(1 / ((1 / x) \ y),x,y \ (x \ 1))) * x = x / ((y * x) \ 1). ((1 / ((1 / x) \ y)) \ a(((1 / x) \ y) \ 1,x,y \ (x \ 1))) * x = x / ((y * x) \ 1). ((1 / ((1 / x) \ y)) \ a((y \ 1) * (x \ 1),x,y \ (x \ 1))) * x = x / ((y * x) \ 1). L(x,y * ((1 * (1 / (L(z,u,u) \ 1))) * w),v5) = L(x,y * ((u * ((z \ u) \ 1)) * w),v5). x != L(y,z * ((u * (w \ 1)) * v5),v6) | L(y,z * ((u / w) * v5),v6) = x. L(x,y * ((z / (u \ z)) * w),v5) = L(x,y * ((1 * (1 / (L(u,z,z) \ 1))) * w),v5). L(x,y * ((1 * (1 / (L(z,u,u) \ 1))) * w),v5) = L(x,y * ((u / (z \ u)) * w),v5). L(x,y * ((1 * (1 / (L(z,u,u) \ 1))) * w),v5) = L(x,y * (z * w),v5). L(x,y * ((1 * L(z,u,u)) * w),v5) = L(x,y * (z * w),v5). L(x,y * (L(z,u,u) * w),v5) = L(x,y * (z * w),v5). L(x,y * (L(R(z,u,w),v5,v5) * (u * w)),v6) = L(x,y * ((z * u) * w),v6). L(x,y * ((L(z,u,u) * w) * v5),v6) = L(x,y * ((z * w) * v5),v6). L(x,y * (z * (L(u,w,w) * v5)),v6) = L(x,y * ((u * v5) * T(z,L(u,w,w) * v5)),v6). L(x,y * ((z * u) * T(w,L(z,v5,v5) * u)),v6) = L(x,y * (w * (L(z,v5,v5) * u)),v6). L(x,y * ((z * u) * T(w,z * u)),v5) = L(x,y * (w * (L(z,v6,v6) * u)),v5). L(x,y * (z * (u * w)),v5) = L(x,y * (z * (L(u,v6,v6) * w)),v5). L(x,y * (z * (L(u,w,w) * v5)),v6) = L(x,y * (z * (u * v5)),v6). L(x,y * (z * (L(T(u,w),v5,v5) * w)),v6) = L(x,y * (z * (w * u)),v6). L(x,y * (z * (u * L(w,v5,v5))),v6) = L(x,y * (z * (u * w)),v6). L(x,y * (z * (((u \ 1) * w) * L(v5,u,u))),v6) != v7 | L(x,y * (z * ((u \ w) * v5)),v6) = v7. L(x,y * (z * ((u \ w) * v5)),v6) = L(x,y * (z * (((u \ 1) * w) * v5)),v6). L(x,y * (z * (((u \ 1) * w) * v5)),v6) = L(x,y * (z * ((u \ w) * v5)),v6). L(x,y * (z * ((((u * w) \ 1) * u) * v5)),v6) != v7 | L(x,y * (z * (w \ v5)),v6) = v7. L(x,y * (z * (u \ w)),v5) = L(x,y * (z * (((v6 * u) \ v6) * w)),v5). L(x,y * (z * (((u * w) \ u) * v5)),v6) = L(x,y * (z * (w \ v5)),v6). L(x,y * (z * (((u * (w \ u)) \ u) * v5)),v6) != v7 | L(x,y * (z * ((u \ w) * v5)),v6) = v7. L(x,y * (z * ((u \ w) * v5)),v6) = L(x,y * (z * ((w \ u) \ v5)),v6). L(x,y * (z * ((u \ w) \ v5)),v6) = L(x,y * (z * ((w \ u) * v5)),v6). L(x,y * z,u) = L(x,y * ((w \ v5) * ((v5 \ w) * z)),u). L(x,y * ((z \ u) * ((u \ z) * w)),v5) = L(x,y * w,v5). L(x,y * ((z \ u) * w),v5) = L(x,y * ((u \ z) \ w),v5). L(x,y * ((z \ u) \ w),v5) = L(x,y * ((u \ z) * w),v5). L(x,y * ((z / u) * w),v5) = L(x,y * ((u / z) \ w),v5). L(x,y * ((z / u) \ w),v5) = L(x,y * ((u / z) * w),v5). x \ y != L(z,u * ((w \ v5) \ v6),v7) | x * L(z,u * ((v5 \ w) * v6),v7) = y. x * L(x \ 1,y * ((z \ u) * w),v5) = a(x,v5,y * ((u \ z) \ w)). L(x,y,z) = L(x,(u \ w) * ((w \ u) * y),z). L(x,(y \ z) * ((z \ y) * u),w) = L(x,u,w). L(x,y * ((z \ 1) * ((u \ w) \ 1)),v5) = L(x,y * ((z \ T(u / w,u)) * 1),v5). L(x,y * ((z \ T(u / w,u)) * 1),v5) = L(x,y * ((z \ 1) * ((u \ w) \ 1)),v5). L(x,(y \ z) * ((z \ y) * ((u \ w) * v5)),v6) = L(x,((u \ 1) * w) * L(v5,u,u),v6). L(x,(y \ z) * u,w) = L(x,(z \ y) \ u,w). L(x,(y \ z) \ u,w) = L(x,(z \ y) * u,w). L(x,y \ z,u) = L(x,(z \ y) \ 1,u). L(x,(y \ z) \ 1,u) = L(x,z \ y,u). L(x,(y \ z) * y,u) = L(x,T(z,z \ y),u). L(x,T(y,y \ z),u) = L(x,(z \ y) * z,u). L(x,(y \ z) * ((u * (w * (z \ y))) / (z \ y)),v5) = L(x,((z \ y) \ u) * L(w,z \ y,z \ y),v5). L(x,y / (z \ u),w) = L(x,y * (u \ z),w). L(x,(y / z) * u,w) = L(x,(z / y) \ u,w). L(x,(y / z) \ u,w) = L(x,(z / y) * u,w). L(x,((y \ (z \ 1)) \ u) \ 1,w) != v5 | L(x,u \ ((1 / y) / z),w) = v5. L(x,y \ ((1 / z) / u),w) = L(x,y \ (z \ (u \ 1)),w). L(x,y \ 1,z) = L(x,(u * y) \ u,z). L(x,(y * z) \ y,u) = L(x,z \ 1,u). L(x,y / z,u) = L(x,(z / y) \ 1,u). L(x,(y / z) \ 1,u) = L(x,z / y,u). L(x,T(y \ z,z),u) = L(x,z / y,u). L(x,y \ (z \ y),u) = L(x,y / (y * z),u). L(x,y / (y * z),u) = L(x,y \ (z \ y),u). L(x,(y \ (z * z)) * u,w) = L(x,(((y \ z) \ 1) \ z) * u,w). L(x,(((y \ z) \ 1) \ z) * u,w) = L(x,(y \ (z * z)) * u,w). x != L(y,z,(u \ w) \ v5) | L(y,z,(w \ u) * v5) = x. L(x,(y \ z) * u,(w \ v5) * v6) = L(x,(z \ y) \ u,(v5 \ w) \ v6). L(x,(y \ z) \ u,(w \ v5) \ v6) = L(x,(z \ y) * u,(v5 \ w) * v6). L(x,y \ z,u) = L(x,((w * y) \ w) * z,u). L(x,((y * z) \ y) * u,w) = L(x,z \ u,w). x != L(y,(z \ u) * z,w) | L(y,T(u,z),w) = x. L(x,T(y,z),u) = L(x,T(y,y \ z),u). L(x,T(y,y \ z),u) = L(x,T(y,z),u). L(x,y,y \ z) = L(x,T(y,z),y \ z). L(x,T(y,z),y \ z) = L(x,y,y \ z). L(T(x,y * (y / z)),y / (y \ z),y * (z \ y)) != u | T(x,1 / ((y * y) / z)) = u. T(x,1 / ((y * y) / z)) = L(T(x,y * (y / z)),y * (z \ y),y * (z \ y)). L(T(x,y * (y / z)),y * (z \ y),y * (z \ y)) = T(x,1 / ((y * y) / z)). L(x,y / z,u) = L(x,y * ((w * z) \ w),u). L(x,y * ((z * u) \ z),w) = L(x,y / u,w). L(x,y / z,u) = L(x,y * (w \ (w / z)),u). L(x,y * (z \ (z / u)),w) = L(x,y / u,w). L(x,y / (z / (1 / u)),w) = L(x,y * (T(z,u) \ (u \ 1)),w). L(x,y * (T(z,u) \ (u \ 1)),w) = L(x,y / (z / (1 / u)),w). x != L(y,((1 / z) / u) * w,v5) | L(y,(z \ (u \ 1)) * w,v5) = x. L(x,(y \ (z \ 1)) * u,w) = L(x,(z / (1 / y)) \ u,w). L(x,(y / (1 / z)) \ u,w) = L(x,(z \ (y \ 1)) * u,w). x \ y != L(z,((u * w) \ u) * v5,v6) | x * L(z,w \ v5,v6) = y. x * L(x \ 1,y \ z,u) = a(x,u,((w * y) \ w) * z). a(x,y,((z * u) \ z) * w) = x * L(x \ 1,u \ w,y). L(x,(y \ (y \ (y / z))) * u,w) = L(x,(z * y) \ u,w). L(x,((y * L(z,z,u)) \ L(z,z,u)) * w,v5) = L(x,T(y,z) \ w,v5). x != L(y,z / u,z / u) | L(y,u \ z,u \ z) = x. L(x,y \ z,y \ z) = L(x,z * ((u * y) \ u),z / y). L(x,y * ((z * u) \ z),y / u) = L(x,u \ y,u \ y). L(x,y * (z / u),w) = L(x,y / (u / z),w). L(x,y / (z / u),w) = L(x,y * (u / z),w). L(x,y * (z * ((z \ 1) / u)),w) = L(x,y / u,w). L(x,y * ((1 / z) / u),w) = L(x,y / (u * z),w). L(x,y * (z / u),w) != v5 | L(x,y / (u / z),w) = v5. L(x,y / (z / (1 / u)),w) = L(x,y / (z * u),w). L(x,(y \ 1) * z,u) != w | L(x,y \ z,u) = w. L(x,y \ ((1 / z) / u),w) = L(x,(y \ 1) / (u * z),w). L(x,(y \ 1) / (z * u),w) = L(x,y \ ((1 / u) / z),w). L(x,(y * (z * y)) \ u,w) = L(x,(y \ ((y * z) \ 1)) * u,w). L(x,(y \ ((y * z) \ 1)) * u,w) = L(x,(y * (z * y)) \ u,w). a(x,y,z \ u) = a(x,y,((w * z) \ w) * u). a(x,y,((z * u) \ z) * w) = a(x,y,u \ w). a(x,y,(z \ u) * w) = a(x,y,(u \ z) \ w). a(x,y,(z \ u) \ w) = a(x,y,(u \ z) * w). a(x,y,(z / u) * w) = a(x,y,(u / z) \ w). a(x,y,(z / u) \ w) = a(x,y,(u / z) * w). a(x,y,(z \ u) \ 1) = a(x,y,u \ z). x != a(y,z,u \ w) | a(y,z,(u \ 1) * w) = x. a(x,y,(z \ 1) * u) = a(x,y,(u \ z) \ 1). a(x,y,(z \ u) \ 1) = a(x,y,(u \ 1) * z). a(x,y,(T(z,u) / u) \ 1) != w | a(x,y,T(u / z,u)) = w. a(x,y,T(z / u,z)) = a(x,y,(z / T(u,z)) * 1). a(x,y,(z / T(u,z)) * 1) = a(x,y,T(z / u,z)). a(x,y,z / T(u,z)) = a(x,y,T(z / u,z)). a(x,y,z / T(u,z)) != w | a(x,y,u \ z) = w. a(x,y,z \ u) = a(x,y,T(u / z,u)). a(x,y,T(z / u,z)) = a(x,y,u \ z). L(x,y,z / u) != w | L(x,y,z * ((v5 * u) \ v5)) = w. L(x,y * ((z * u) \ z),y * ((w * u) \ w)) = L(x,u \ y,u \ y). L(x,(y \ 1) / z,u) != w | L(x,y \ (z \ 1),u) = w. L(x,y \ ((z * u) \ 1),w) = L(x,y \ ((1 / u) / z),w). L(x,y \ ((1 / z) / u),w) = L(x,y \ ((u * z) \ 1),w). L(x,y \ ((1 / z) / u),w) != v5 | L(x,y \ (z \ (u \ 1)),w) = v5. L(x,y \ (z \ (u \ 1)),w) = L(x,y \ ((u * z) \ 1),w). L(x,y \ ((z * u) \ 1),w) = L(x,y \ (u \ (z \ 1)),w). L(x,y \ (z \ 1),y) != u | R(x,y,y \ z) = u. R(x,y,y \ (z * u)) = L(x,y \ (u \ (z \ 1)),y). L(x,y \ (z \ (u \ 1)),y) = R(x,y,y \ (u * z)). L(R(x,y,y \ (y * z)),(y \ 1) / z,y \ 1) = L(x,y,y). L(R(x,y,z),(y \ 1) / z,y \ 1) = L(x,y,y). L(x,y / z,y) != u | L(x,z \ y,y) = u. L(R(x,y,z),z \ (y \ 1),y \ 1) = L(x,y,y). L(x,(y * (y / z)) * u,w) = L(x,(z \ (y * y)) * u,w). L(x,(y \ (z * z)) * u,w) = L(x,(z * (z / y)) * u,w). L(x,y * (z \ (u \ 1)),w) = L(x,y / (u / (1 / z)),w). L(x,y / (z / (1 / u)),w) = L(x,y * (u \ (z \ 1)),w). L(x,y / (z / (1 / u)),w) != v5 | L(x,y / (z * u),w) = v5. L(x,y / (z * u),w) = L(x,y * (u \ (z \ 1)),w). L(x,y * (z \ (u \ 1)),w) = L(x,y / (u * z),w). L(x,y * (z \ (u \ 1)),w) != v5 | L(x,y * ((z \ 1) / u),w) = v5. L(x,y * ((z \ 1) / u),w) = L(x,y / (u * z),w). L(x,y * (z \ (u \ 1)),w) != v5 | L(x,y * (z \ (1 / u)),w) = v5. L(x,y * (z \ (1 / u)),w) = L(x,y / (u * z),w). L(x,y * (z \ T(u / w,u)),v5) = L(x,y / ((u \ w) * z),v5). a(x,y,z * ((u \ w) * v5)) = a(x,y,z * ((w \ u) \ v5)). a(x,y,z * ((u \ w) \ v5)) = a(x,y,z * ((w \ u) * v5)). a(x,y,z * ((u \ w) \ v5)) != v6 | a(x,y,z * ((w \ u) * v5)) = v6. L(x,y \ (z \ u),y \ (z \ u)) = L(x,(u \ z) * y,(u \ z) * y). L(x,T(y \ 1,L(z,z,u)) * w,v5) = L(x,T(y,z) \ w,v5). L(x,T(y \ 1,z) * u,w) = L(x,T(y,z) \ u,w). L(x,T(y \ 1,z),u) = L(x,T(y,z) \ 1,u). x != L(y,z \ 1,u) | L(y,1 / z,u) = x. L(x,1 / T(y,z),u) = L(x,T(y \ 1,z),u). x \ y != L(z,u \ (w \ v5),u \ (w \ v5)) | x * L(z,(v5 \ w) * u,(v5 \ w) * u) = y. x * L(x \ 1,(y \ z) * u,(y \ z) * u) = a(x,u \ (z \ y),u \ (z \ y)). L(x,y \ (z \ ((u * z) * z)),y \ (z \ ((u * z) * z))) = L(x,(u \ (1 / z)) * y,(((u * z) * z) \ z) * y). x != L(y,z * (u * (w \ 1)),v5) | L(y,z * (u / w),v5) = x. L(x,y * ((z \ 1) / (u \ w)),v5) = L(x,y * ((z \ T(u / w,u)) * 1),v5). L(x,y * ((z \ T(u / w,u)) * 1),v5) = L(x,y * ((z \ 1) / (u \ w)),v5). x != L(y,z * (u / (w \ v5)),v6) | L(y,z * (u * (v5 \ w)),v6) = x. L(x,y * ((z \ 1) * (u \ w)),v5) = L(x,y * ((z \ T(w / u,w)) * 1),v5). L(x,y * ((z \ T(u / w,u)) * 1),v5) = L(x,y * ((z \ 1) * (w \ u)),v5). x != L(y,z * ((u \ 1) * w),v5) | L(y,z * (u \ w),v5) = x. L(x,y * (z \ (u \ w)),v5) = L(x,y * ((z \ T(w / u,w)) * 1),v5). L(x,y * ((z \ T(u / w,u)) * 1),v5) = L(x,y * (z \ (w \ u)),v5). L(x,y * (z \ T(u / w,u)),v5) = L(x,y * (z \ (w \ u)),v5). L(x,y * (z \ T(u / w,u)),v5) != v6 | L(x,y / ((u \ w) * z),v5) = v6. L(x,y / ((z \ u) * w),v5) = L(x,y * (w \ (u \ z)),v5). x \ y != L(z,u / ((w \ v5) * v6),v7) | x * L(z,u * (v6 \ (v5 \ w)),v7) = y. x * L(x \ 1,y * (z \ (u \ w)),v5) = a(x,v5,y / ((w \ u) * z)). a(x,y,z * (u \ (w \ v5))) = a(x,y,z / ((v5 \ w) * u)). a(x,y,z / ((u \ w) * v5)) = a(x,y,z * (v5 \ (w \ u))). a(x,y,z / ((u \ w) * v5)) != v6 | a(x,y,z * (v5 \ (w \ u))) = v6. a(x,(y \ z) * u,(y \ z) * u) = a(x,u \ (z \ y),u \ (z \ y)). a(x,y \ (z \ u),y \ (z \ u)) = a(x,(u \ z) * y,(u \ z) * y). L(x,(y \ z) * ((z \ y) * u),w) != v5 | L(x,u,w) = v5. L(x,(y \ z) * u,w) = L(x,((y \ 1) * z) * L(u,y,y),w). L(x,((y \ 1) * z) * L(u,y,y),w) = L(x,(y \ z) * u,w). L(x,((y \ 1) * z) * u,w) = L(x,(y \ z) * u,w). L(x,((y \ 1) * z) * L(u,y,y),w) != v5 | L(x,((z \ 1) * y) \ u,w) = v5. L(x,((y \ 1) * z) \ u,w) = L(x,(z \ y) * u,w). L(x,(y * z) * u,w) = L(x,((1 / y) \ z) * u,w). L(x,((1 / y) \ z) * u,w) = L(x,(y * z) * u,w). L(x,(y * z) \ u,w) = L(x,(z \ (1 / y)) * u,w). L(x,(y \ (1 / z)) * u,w) = L(x,(z * y) \ u,w). L(x,y * ((z * u) * y),w) = L(x,(y * z) * (u * y),w). L(x,(y * z) * (u * y),w) = L(x,y * ((z * u) * y),w). L(x,T(y,z) * u,w) = L(x,(z * (y / z)) * u,w). L(x,(y * (z / y)) * u,w) = L(x,T(z,y) * u,w). L(x,y * K(z,u \ 1),w) != v5 | L(x,y * K(u,z),w) = v5. L(x,(y \ (1 / z)) * K(u,w),v5) = L(x,(z * y) \ K(w,u \ 1),v5). L(x,(y * z) \ K(u,w \ 1),v5) = L(x,(z \ (1 / y)) * K(w,u),v5). L(x,y \ (1 / z),u) = L(x,(z * y) \ 1,u). L(x,(y * z) \ 1,u) = L(x,z \ (1 / y),u). x != L(y,z \ (1 / u),w) | L(y,z \ (u \ 1),w) = x. L(x,y \ (z \ 1),u) = L(x,(z * y) \ 1,u). L(x,(y * z) \ 1,u) = L(x,z \ (y \ 1),u). L(x,(y * ((z \ (y \ 1)) / y)) * u,w) = L(x,((T(z,y) \ 1) / y) * u,w). L(x,(y \ (y \ (y / z))) * u,w) = L(x,T(1 / (y * z),y) * u,w). L(x,T(1 / (y * z),y) * u,w) = L(x,(y \ (y \ (y / z))) * u,w). L(x,(y * z) * ((u \ 1) * y),w) = L(x,y * ((T(u,z) \ z) * y),w). x != L(y,(z \ (1 / u)) * w,v5) | L(y,(u * z) \ w,v5) = x. L(x,(y * z) \ K(u,w),v5) = L(x,(y * z) \ K(w,u \ 1),v5). L(x,(y * z) \ K(u,w \ 1),v5) = L(x,(y * z) \ K(w,u),v5). x != L(y,(z \ (z \ (z / u))) * w,v5) | L(y,(u * z) \ w,v5) = x. L(x,(y * z) \ u,w) = L(x,T(1 / (z * y),z) * u,w). L(x,T(1 / (y * z),y) * u,w) = L(x,(z * y) \ u,w). L(x,((y \ 1) / z) * u,w) = L(x,(z * y) \ u,w). L(x,y * ((z \ 1) * u),w) != v5 | L(x,y * (z \ u),w) = v5. L(x,(y * z) * (u \ y),w) = L(x,y * ((T(u,z) \ z) * y),w). L(x,y * ((T(z,u) \ u) * y),w) = L(x,(y * u) * (z \ y),w). L(x,y * ((T(z,u) \ u) * w),v5) != v6 | L(x,y * ((u / z) * w),v5) = v6. L(x,y * ((z / u) * y),w) = L(x,(y * z) * (u \ y),w). L(x,(y * z) * (u \ y),w) = L(x,y * ((z / u) * y),w). L(x,(y * ((y * z) \ (1 / y))) * u,w) = L(x,((T(z,y) \ 1) / y) * u,w). L(x,((y / (1 / z)) \ 1) * u,w) = L(x,((T(y,z) \ 1) / z) * u,w). L(x,(y / (1 / z)) \ u,w) = L(x,((T(y,z) \ 1) / z) * u,w). L(x,((T(y,z) \ 1) / z) * u,w) = L(x,(y / (1 / z)) \ u,w). x != L(y,(z / (1 / u)) \ w,v5) | L(y,(u \ (z \ 1)) * w,v5) = x. L(x,(y \ (z \ 1)) * u,w) = L(x,((T(z,y) \ 1) / y) * u,w). L(x,((T(y,z) \ 1) / z) * u,w) = L(x,(z \ (y \ 1)) * u,w). L(x,((y \ 1) / z) * u,w) != v5 | L(x,(z * y) \ u,w) = v5. L(x,(y * T(z,y)) \ u,w) = L(x,(y \ (z \ 1)) * u,w). L(x,(y * z) \ u,w) = L(x,(z \ (y \ 1)) * u,w). L(x,(y \ (z \ 1)) * u,w) = L(x,(z * y) \ u,w). L(x,y \ ((z \ 1) * K(y,u)),w) = L(x,(z * y) \ K(y,u),w). L(x,y \ (z \ K(y,u)),w) = L(x,(z * y) \ K(y,u),w). L(x,(y * z) \ K(z,u),w) = L(x,z \ (y \ K(z,u)),w). L(x,(y * z) \ K(u,w),v5) != v6 | L(x,(y * z) \ K(w,u \ 1),v5) = v6. L(x,(y * z) \ K(u,z \ 1),w) = L(x,z \ (y \ K(z,u)),w). L(x,T(y / z,y),u) != w | L(x,z \ y,u) = w. L(x * (1 / T(y / z,y)),z \ y,z \ y) = L(x,T(y / z,y),T(y / z,y)) * (y \ z). x / ((y \ z) \ 1) = L(x,T(y / z,y),T(y / z,y)) * (y \ z). L(x,T(y / z,y),T(y / z,y)) * (y \ z) = x / ((y \ z) \ 1). L(x,T(y / z,y),z \ y) * (y \ z) = x / ((y \ z) \ 1). L(x,y \ z,y \ z) * (z \ y) = x / ((z \ y) \ 1). K(x,y) * K(T(y,x),R(x,z,u)) = K(y * x,y * R(x,z,u)). K(x,y) * K(y,T(R(x,z,u),x)) = K(y * x,y * R(x,z,u)). K(x,y) * K(y,R(x,z,u)) = K(y * x,y * R(x,z,u)). K(x * y,x * R(y,z,u)) = K(y,x) * K(x,R(y,z,u)). (L(x,y,y) \ 1) * (L(x,y,y) \ K(z,L(x,y,y) \ 1)) = (x \ (1 / x)) * K(z,x \ 1). x != (y \ (z / y)) * K(u,y \ z) | (y \ z) * (y \ K(u,y \ z)) = x. (x \ 1) * (x \ K(y,x \ 1)) = (L(x,z,z) \ 1) * (L(x,z,z) \ K(y,L(x,z,z) \ 1)). (L(x,y,y) \ 1) * (L(x,y,y) \ K(z,L(x,y,y) \ 1)) = (x \ 1) * (x \ K(z,x \ 1)). (L(x,y,y) \ 1) * (L(x,y,y) \ K(z,L(x,y,y) \ 1)) = (x \ 1) * T(x \ 1,z). x != (y \ 1) * T(y \ 1,z) | y \ T(1 / y,z) = x. x \ T(1 / x,y) = (L(x,z,z) \ 1) * (L(x,z,z) \ K(y,L(x,z,z) \ 1)). (L(x,y,y) \ 1) * (L(x,y,y) \ K(z,L(x,y,y) \ 1)) = x \ T(1 / x,z). (L(x,y,y) \ 1) * (L(x,y,y) \ K(z,x \ 1)) = x \ T(1 / x,z). (L(x,y,y) \ 1) * L(T(x \ 1,z),y,y) = x \ T(1 / x,z). (L(x,y,y) \ 1) * L(T(x \ 1,z),y,y) != u | L(x \ T(1 / x,z),y,y) = u. L(x \ T(1 / x,y),z,z) = x \ T(1 / x,y). x \ y != L(z \ T(1 / z,u),w,w) | x * (z \ T(1 / z,u)) = y. (x \ 1) * (y \ T(1 / y,z)) = x \ (y \ T(1 / y,z)). (x * x) * (y \ T(1 / y,z)) = x * (x * (y \ T(1 / y,z))). x * y != L(z \ T(1 / z,u),w,w) | (z \ T(1 / z,u)) / y = x. (x \ T(1 / x,y)) / z = (x \ T(1 / x,y)) * (1 / z). (x \ T(1 / x,y)) * (1 / z) = (x \ T(1 / x,y)) / z. 1 / (x \ (y \ T(1 / y,z))) = (y \ T(1 / y,z)) \ x. T(((x \ 1) \ 1) / (y \ T(1 / y,z)),x \ 1) = 1 / (x \ (y \ T(1 / y,z))). (x \ T(1 / x,y)) * z != u | T(x \ 1,y) * (x \ z) = u. T(x \ 1,y) * (x \ (1 / z)) = (x \ T(1 / x,y)) / z. x != (y \ T(1 / y,z)) \ u | y * (T(y \ 1,z) \ u) = x. x * (T(x \ 1,y) \ z) = 1 / (z \ (x \ T(1 / x,y))). 1 / (x \ (y \ T(1 / y,z))) = y * (T(y \ 1,z) \ x). x != y / (1 / z) | ((z \ y) \ y) * y = x. ((x \ (y \ T(1 / y,z))) \ (y \ T(1 / y,z))) * (y \ T(1 / y,z)) = T(y \ 1,z) * (y \ (1 / (1 / x))). T(x,y * (z * (u * ((((u * w) * v5) / (1 / u)) \ 1)))) = T(x,y * (z / (((1 / u) \ w) * L(v5,u,u)))). T(x,y * (z * (L(u,w,w) \ ((v5 \ 1) * (w \ 1))))) = T(x,y * (z / (w * ((1 / w) * ((w * v5) * u))))). x != L(y,(z \ u) * L(w,z,z),v5) | L(y,((1 / z) * u) * w,v5) = x. L(x,((1 / (y \ z)) * u) * w,v5) = L(x,(z \ y) * ((u * (w * (y \ z))) / (y \ z)),v5). L(x,(y \ z) * ((u * (w * (z \ y))) / (z \ y)),v5) = L(x,((1 / (z \ y)) * u) * w,v5). T(x,y * (z * (u / (((u * w) * v5) / (1 / u))))) = T(x,y * (z / (((1 / u) \ w) * L(v5,u,u)))). T(x,y * (z * (u / (w / (1 / v5))))) != v6 | T(x,y * (z * (u / (w * v5)))) = v6. T(x,y * (z * (u / (((u * w) * v5) * u)))) = T(x,y * (z / (((1 / u) \ w) * L(v5,u,u)))). T(x,y * (z / (((1 / u) \ w) * L(v5,u,u)))) = T(x,y * (z * (u / (((u * w) * v5) * u)))). x != T(y,z * (u * (w / (v5 * w)))) | T(y,z * (u / v5)) = x. T(x,y * (z / ((u * w) * v5))) = T(x,y * (z / (((1 / u) \ w) * L(v5,u,u)))). T(x,y * (z / (((1 / u) \ w) * L(v5,u,u)))) = T(x,y * (z / ((u * w) * v5))). T(x,y * (z * (u \ (w * (v5 \ 1))))) != v6 | T(x,y * (z * (u \ (w / v5)))) = v6. T(x,y * (z * (L(u,w,w) \ ((v5 \ 1) / w)))) = T(x,y * (z / (w * ((1 / w) * ((w * v5) * u))))). T(x,y * (z / (u * ((1 / u) * ((u * w) * v5))))) = T(x,y * (z * (L(v5,u,u) \ ((w \ 1) / u)))). x != T(y,z * (u * (L(w,v5,v5) \ v6))) | T(y,z * (u * (w \ v6))) = x. T(x,y * (z * (u \ ((w \ 1) / v5)))) = T(x,y * (z / (v5 * ((1 / v5) * ((v5 * w) * u))))). T(x,y * (z / (u * ((1 / u) * ((u * w) * v5))))) = T(x,y * (z * (v5 \ ((w \ 1) / u)))). T(x,y * (z / (((1 / u) \ w) * L(v5,u,u)))) = T(x,y * (z * (v5 \ ((w \ 1) / u)))). T(x,y * (z / (((1 / u) \ w) * L(v5,u,u)))) != v6 | T(x,y * (z / ((u * w) * v5))) = v6. T(x,y * (z / ((u * w) * v5))) = T(x,y * (z * (v5 \ ((w \ 1) / u)))). T(x,y * (z * (u \ ((w \ 1) / v5)))) = T(x,y * (z / ((v5 * w) * u))). T(T(x,K(y,z * (u * (w / v5)))),y * (z * (u * (w / v5)))) = T(x,(z * (u * (w * (1 / v5)))) * y). T(x,(y * (z * (u / w))) * v5) = T(x,(y * (z * (u * (1 / w)))) * v5). T(x,(y * (z * (u * (1 / w)))) * v5) = T(x,(y * (z * (u / w))) * v5). T(x,((y / z) * (u * (y * (1 / z)))) * w) != v5 | T(x,(y * (((1 / z) * u) * ((z / y) \ 1))) * w) = v5. T(x,(y * (((1 / z) * u) * ((z / y) \ 1))) * w) = T(x,((y / z) * (u * (y / z))) * w). L(x,y,(z \ T(1 / z,T(u \ 1,w))) / u) = L(x,y,((w \ (z \ w)) * (1 / u)) / T(z,w)). L(x,y,(z \ T(1 / z,T(u,w) \ 1)) / u) = L(x,y,((w \ (z \ w)) * (1 / u)) / T(z,w)). T(T(x,y * (z * (u \ (z / u)))),K(w,y * (z * (u \ (z / u))))) = T(x,T(y * ((u \ z) * (u \ z)),w)). T(x,((y \ z) * u) \ (K(w,(z \ y) \ u) * v5)) = T(x,T(u \ (z \ y),(u \ (z \ y)) * w) * v5). T(x,((y \ z) * u) \ (K(w,(y \ z) * u) * v5)) = T(x,T(u \ (z \ y),(u \ (z \ y)) * w) * v5). T(x,T((y \ z) * u,w) \ v5) = T(x,T(u \ (z \ y),(u \ (z \ y)) * w) * v5). T(x,T(y \ (z \ u),(y \ (z \ u)) * w) * v5) = T(x,T((u \ z) * y,w) \ v5). T(x,T(y,y * z) * u) != w | T(x,T(y,z) * u) = w. T(x,T(y \ (z \ u),w) * v5) = T(x,T((u \ z) * y,w) \ v5). T(x,T((y \ z) * u,w) \ v5) = T(x,T(u \ (z \ y),w) * v5). T(x,T(y * ((z \ u) * (z \ u)),w)) != v5 | T(x,T(y * (u * (z \ (u / z))),w)) = v5. L(x \ ((y * (z * z)) / x),((x \ 1) * z) * z,x \ (z * z)) = (x \ y) / (1 / (((x \ 1) * z) * z)). L(x \ ((y * (z * z)) / x),((x \ 1) * z) * z,z * (z / x)) = (x \ y) / (1 / (((x \ 1) * z) * z)). L(x \ ((y * (z * z)) / x),((x \ 1) * z) * z,z * (z / x)) = (x \ y) / (z \ (z \ (1 / (x \ 1)))). L(x \ ((y * (z * z)) / x),((x \ 1) * z) * z,z * (z / x)) = (x \ y) / (z \ (z \ x)). T(x,T((y * z) \ (((z \ (y \ 1)) * u) \ (1 / (z \ (y \ 1)))),w)) = T(x,T((u / (((1 / z) / y) \ 1)) \ 1,w)). L(x,y \ T(z * u,u),y \ (u \ ((z * u) * u))) = L(x,(z \ (1 / u)) * y,(((z * u) * u) \ u) * y). L(x,y \ T(z * u,u),y \ T(z * u,u)) = L(x,(z \ (1 / u)) * y,(((z * u) * u) \ u) * y). L(x,(y \ (1 / z)) * u,(((y * z) * z) \ z) * u) = L(x,u \ T(y * z,z),u \ T(y * z,z)). ((x \ (y \ T(1 / y,z))) \ (y \ T(1 / y,z))) * (y \ T(1 / y,z)) = T(y \ 1,z) * (y \ ((x \ 1) \ 1)). x != T(y,T(z \ 1,u)) | T(y,T(z,u) \ 1) = x. T(x,T(y / (((1 / z) / u) \ 1),w) \ 1) = T(x,T((u * z) \ (((z \ (u \ 1)) * y) \ (1 / (z \ (u \ 1)))),w)). T(x,T((y * z) \ (((z \ (y \ 1)) * u) \ (1 / (z \ (y \ 1)))),w)) = T(x,T(u / (((1 / z) / y) \ 1),w) \ 1). (x * (y * (K(y,z) * (y \ u)))) * K(z,L(y,K(z,y) \ (y \ u),x)) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y). (x * (K(y,z) * u)) * K(z,L(y,K(z,y) \ (y \ u),x)) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y). (x * (K(y,z) * u)) * K(z,L(y,y \ u,x)) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y). (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y). (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * (((K(y,z) * (u / y)) * K(z,y)) * y). (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * (T(u / y,K(y,z)) * y). (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * T((u / y) * y,K(y,z)). (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * T(u,K(y,z)). ((x * (y * (1 / x))) \ (x \ (x \ y))) \ z = ((x * (y * (1 / x))) / (x \ y)) * ((1 / x) \ z). ((x * (y * (1 / x))) / (x \ y)) * ((1 / x) \ z) = ((x * (y * (1 / x))) \ (x \ (x \ y))) \ z. ((x * (y * (1 / x))) / (x \ y)) * ((1 / x) \ z) = (x \ (1 / T(x,y))) \ z. x != (y \ (1 / T(y,z))) \ u | y * ((T(y,z) \ 1) \ u) = x. x * ((T(x,y) \ 1) \ z) = ((x * (y * (1 / x))) / (x \ y)) * ((1 / x) \ z). ((x * (y * (1 / x))) / (x \ y)) * ((1 / x) \ z) = x * ((T(x,y) \ 1) \ z). ((T(x,y) \ 1) \ 1) * ((1 / x) \ z) = x * ((T(x,y) \ 1) \ z). (x * ((T(x,y) \ 1) \ y)) \ 1 = ((T(x,y) \ 1) \ 1) \ (x \ (y \ 1)). ((T(x,y) \ 1) \ 1) \ (x \ (y \ 1)) = (x * ((T(x,y) \ 1) \ y)) \ 1. ((T(x,y) \ 1) \ 1) \ (x \ (y \ 1)) = (x * (y / (1 / x))) \ 1. x != (y * (z / (1 / y))) \ 1 | y \ (z \ (1 / y)) = x. x \ (y \ (1 / x)) = ((T(x,y) \ 1) \ 1) \ (x \ (y \ 1)). ((T(x,y) \ 1) \ 1) \ (x \ (y \ 1)) = x \ (y \ (1 / x)). ((T(x,y) \ 1) \ 1) \ (x \ (y \ 1)) != z | ((x * y) \ 1) * (T(x,y) \ 1) = z. ((x * y) \ 1) * (T(x,y) \ 1) = x \ (y \ (1 / x)). ((x * (y \ 1)) \ 1) * (T(x,y \ 1) \ 1) != z | (x \ y) * ((x \ y) * (1 / y)) = z. (x \ y) * ((x \ y) * (1 / y)) = x \ ((y \ 1) \ (1 / x)). x != y \ ((z \ 1) \ (1 / y)) | (z \ y) \ (1 / y) = x. (x \ y) \ (1 / y) = (y \ x) * ((y \ x) * (1 / x)). (x \ y) * ((x \ y) * (1 / y)) = (y \ x) \ (1 / x). (x \ T(y,x)) \ (1 / T(y,x)) = (x \ y) \ (1 / y). (1 / x) * ((x \ y) \ (1 / y)) = x * ((y \ (1 / x)) / y). T(x,((y * (z * z)) \ u) * (T((y * z) * z,w) * (y * (z * z)))) = T(x,(y * (z * z)) * (u * K(y * (z * z),w))). L(x,y,z) * ((((z * (y * x)) \ (z * y)) \ (z * y)) / (z * y)) = (z * y) \ (((z * y) / (z * (y * x))) \ (z * (y * x))). L(x,y,z) * ((((z * y) \ (z * (y * x))) \ 1) \ 1) = (z * y) \ (((z * y) / (z * (y * x))) \ (z * (y * x))). (x * y) \ (((x * y) / (x * (y * z))) \ (x * (y * z))) = L(z,y,x) * ((((x * y) \ (x * (y * z))) \ 1) \ 1). (x * y) \ (((x * y) / (x * (y * z))) \ (x * (y * z))) = L(z,y,x) * ((L(z,y,x) \ 1) \ 1). (1 / L(x,y,z)) \ L(x,y,z) = (z * y) \ (((z * y) / (z * (y * x))) \ (z * (y * x))). (x * y) \ (((x * y) / (x * (y * z))) \ (x * (y * z))) = (1 / L(z,y,x)) \ L(z,y,x). (x * y) \ ((x * (y * z)) / (L(z,y,x) \ 1)) = (1 / L(z,y,x)) \ L(z,y,x). K((x \ y) \ y,z \ (R(x,u,w) * y)) = K(T(x,R(x,u,w) * (x \ y)),(R(x,u,w) \ z) \ y). K(T(x,R(x,y,z) * (x \ u)),(R(x,y,z) \ w) \ u) = K((x \ u) \ u,w \ (R(x,y,z) * u)). x != K((y \ z) \ z,u) | K(y,T(u,z)) = x. K(x,T(y \ (R(x,z,u) * w),w)) = K(T(x,R(x,z,u) * (x \ w)),(R(x,z,u) \ y) \ w). K(T(x,R(x,y,z) * (x \ u)),(R(x,y,z) \ w) \ u) = K(x,T(w \ (R(x,y,z) * u),u)). x != K(y,T(z \ (R(y,u,w) * v5),v5)) | K(y,(R(y,u,w) * v5) / z) = x. K(x,(R(x,y,z) * u) / w) = K(T(x,R(x,y,z) * (x \ u)),(R(x,y,z) \ w) \ u). K(T(x,R(x,y,z) * (x \ u)),(R(x,y,z) \ w) \ u) = K(x,(R(x,y,z) * u) / w). K(x,T((R(x,y,z) \ u) \ w,R(x,y,z) * w)) = K(x,(R(x,y,z) * w) / u). K(x,T(y,R(x,z,u) * w)) != v5 | K(x,T(y,w)) = v5. K(x,T((R(x,y,z) \ u) \ w,w)) = K(x,(R(x,y,z) * w) / u). K(x,y / (R(x,z,u) \ w)) = K(x,(R(x,z,u) * y) / w). K(x,(R(x,y,z) * u) / w) = K(x,u / (R(x,y,z) \ w)). K(x,(R(x,y,z) * u) / w) != v5 | K(x,R(x,y,z) / (w / u)) = v5. K(x,R(x,y,z) / (u / w)) = K(x,w / (R(x,y,z) \ u)). K(x,R(x,y,z) / u) != w | K(x,u \ R(x,y,z)) = w. K(x,(y / z) \ R(x,u,w)) = K(x,z / (R(x,u,w) \ y)). K(x,y / (R(x,z,u) \ w)) = K(x,(w / y) \ R(x,z,u)). K(x,y / (R(x,z,u) \ w)) != v5 | K(x,(y * R(x,z,u)) / w) = v5. K(x,(y * R(x,z,u)) / w) = K(x,(w / y) \ R(x,z,u)). K(x,((y * z) * R(x,y,z)) / ((u * y) * z)) != w | K(R(x,K(y * z,x) * y,z),u \ x) = w. K(R(x,K(y * z,x) * y,z),u \ x) = K(x,(((u * y) * z) / (y * z)) \ R(x,y,z)). K(R(x,K(y * z,x) * y,z),u \ x) = K(x,R(u,y,z) \ R(x,y,z)). K(R(x,K(y,x) * z,u),w) != v5 | K(R(x,z,u),w) = v5. K(R(x,y,z),u \ x) = K(x,R(u,y,z) \ R(x,y,z)). K(x,R(y,z,u) \ R(x,z,u)) = K(R(x,z,u),y \ x). K(x,R(y,z,u) \ x) = K(R(x,z,u),y \ x). K(R(x,y,z),u \ x) = K(x,R(u,y,z) \ x). K(R(x,y,z),R(x / u,u,L(K(w,x),v5,v6)) \ x) != v7 | K(R(x,y,z),u) = v7. K(R(x,y,z),u) = K(x,R(R(x / u,u,L(K(w,x),v5,v6)),y,z) \ x). K(x,R(R(x / y,y,L(K(z,x),u,w)),v5,v6) \ x) = K(R(x,v5,v6),y). ((1 / x) / y) * ((x \ (y \ 1)) * T(T(z,(x \ (y \ 1)) \ 1),y * x)) = ((x \ (y \ 1)) \ 1) \ (((x \ (y \ 1)) \ 1) \ z). ((1 / x) / y) * ((x \ (y \ 1)) * T(T(z,(y \ 1) \ x),y * x)) = ((x \ (y \ 1)) \ 1) \ (((x \ (y \ 1)) \ 1) \ z). ((1 / x) / y) * ((x \ (y \ 1)) * T(T(z,y * x),y * x)) = ((x \ (y \ 1)) \ 1) \ (((x \ (y \ 1)) \ 1) \ z). ((1 / x) / y) * ((x \ (y \ 1)) * z) = ((x \ (y \ 1)) \ 1) \ (((x \ (y \ 1)) \ 1) \ z). ((x \ (y \ 1)) \ 1) \ (((x \ (y \ 1)) \ 1) \ z) = ((1 / x) / y) * ((x \ (y \ 1)) * z). (x \ y) \ ((x \ y) \ z) != u | z * (y \ ((y / x) \ x)) = u. x * (1 \ ((1 / (y \ (z \ 1))) \ (y \ (z \ 1)))) = ((1 / y) / z) * ((y \ (z \ 1)) * x). x * (1 \ ((((1 / y) / z) \ 1) \ (y \ (z \ 1)))) = ((1 / y) / z) * ((y \ (z \ 1)) * x). x * (1 \ (y \ (z \ ((z * y) \ 1)))) = ((1 / y) / z) * ((y \ (z \ 1)) * x). ((1 / x) / y) * ((x \ (y \ 1)) * z) = z * (1 \ (x \ (y \ ((y * x) \ 1)))). ((1 / x) / y) * ((x \ (y \ 1)) * z) = z * (x \ (y \ ((y * x) \ 1))). x != y * (z \ (u \ ((u * z) \ 1))) | (z * u) \ ((z * u) \ y) = x. (x * y) \ ((x * y) \ z) = ((1 / x) / y) * ((x \ (y \ 1)) * z). ((1 / x) / y) * ((x \ (y \ 1)) * z) = (x * y) \ ((x * y) \ z). (T(x \ 1,y) \ (1 / T(x \ 1,y))) * ((T(x \ 1,y) \ 1) * (z / (T(x \ 1,y) \ 1))) = (T(1 / x,y) \ z) * (T(x \ 1,y) \ 1). (T(x \ 1,y) \ (T(1 / x,y) \ 1)) * ((T(x \ 1,y) \ 1) * (z / (T(x \ 1,y) \ 1))) = (T(1 / x,y) \ z) * (T(x \ 1,y) \ 1). (x * (x * 1)) * ((T(x \ 1,y) \ 1) * (z / (T(x \ 1,y) \ 1))) = (T(1 / x,y) \ z) * (T(x \ 1,y) \ 1). (x * x) * ((T(x \ 1,y) \ 1) * (z / (T(x \ 1,y) \ 1))) = (T(1 / x,y) \ z) * (T(x \ 1,y) \ 1). (x * x) * (T(x \ 1,y) * (z * (1 / T(x \ 1,y)))) = (T(1 / x,y) \ z) * (T(x \ 1,y) \ 1). (x * x) * (T(x \ 1,y) * (z * (T(1 / x,y) \ 1))) = (T(1 / x,y) \ z) * (T(x \ 1,y) \ 1). (x * x) * (T(x,y) * (z / T(x,y))) = (T(1 / x,y) \ z) * (T(x \ 1,y) \ 1). (T(1 / x,y) \ z) * (T(x \ 1,y) \ 1) = (x * x) * (T(x,y) * (z / T(x,y))). x != (y * y) * (T(y,z) * (u / T(y,w))) | ((T(y,z) \ 1) \ u) * T(y,w) = x. ((T(x,y) \ 1) \ z) * T(x,y) = (T(1 / x,y) \ z) * (T(x \ 1,y) \ 1). (T(1 / x,y) \ z) * (T(x \ 1,y) \ 1) = ((T(x,y) \ 1) \ z) * T(x,y). (T(1 / x,y) \ (z * u)) * (T(x \ 1,y) \ 1) != w | (((T(x \ 1,y) \ 1) \ 1) \ z) * (u * (T(x \ 1,y) \ 1)) = w. (((T(x \ 1,y) \ 1) \ 1) \ z) * (u * (T(x \ 1,y) \ 1)) = ((T(x,y) \ 1) \ (z * u)) * T(x,y). x != ((y \ 1) \ (z * u)) * y | ((y \ 1) \ z) * (u * y) = x. ((T(x,y) \ 1) \ z) * (u * T(x,y)) = (((T(x \ 1,y) \ 1) \ 1) \ z) * (u * (T(x \ 1,y) \ 1)). (((T(x \ 1,y) \ 1) \ 1) \ z) * (u * (T(x \ 1,y) \ 1)) = ((T(x,y) \ 1) \ z) * (u * T(x,y)). (T(1 / x,y) \ z) * (u * (T(x \ 1,y) \ 1)) = ((T(x,y) \ 1) \ z) * (u * T(x,y)). (((T(x,y) \ 1) \ 1) * (z * T(x,y))) \ 1 = T(1 / x,y) * (z \ T(1 / x,y)). (((x \ 1) \ 1) * y) \ 1 != z | (y \ 1) / x = z. ((x * T(y,z)) \ 1) / T(y,z) = T(1 / y,z) * (x \ T(1 / y,z)). T(1 / x,y) * (z \ T(1 / x,y)) = ((z * T(x,y)) \ 1) / T(x,y). T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = (y \ T(y * (x \ 1),y)) * R((y \ T(y * (x \ 1),y)) \ 1,z,u). x != (y \ z) * R((y \ z) \ 1,u,w) | y \ (z * R(z \ y,u,w)) = x. x \ (T(x * (y \ 1),x) * R(T(x * (y \ 1),x) \ x,z,u)) = T((y \ a(x,y \ 1,x)) * R((y \ a(x,y \ 1,x)) \ 1,z,u),x). T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = y \ (T(y * (x \ 1),y) * R(T(y * (x \ 1),y) \ y,z,u)). T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = y \ T((y * (x \ 1)) * R((y * (x \ 1)) \ y,z,u),y). T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = y \ T(y * ((x \ 1) * R((x \ 1) \ 1,z,u)),y). T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = y \ T(y * (x \ R(x,z,u)),y). T(x \ (a(y,x \ 1,y) * R(a(y,x \ 1,y) \ x,z,u)),y) = y \ T(y * (x \ R(x,z,u)),y). T(x \ R(a(y,x \ 1,y) * (a(y,x \ 1,y) \ x),z,u),y) = y \ T(y * (x \ R(x,z,u)),y). T(x \ R(x,y,z),u) = u \ T(u * (x \ R(x,y,z)),u). x \ T(x * (y \ R(y,z,u)),x) = T(y \ R(y,z,u),x). R(x,y \ R(y,z,u),x) = x. L(x,y \ R(y,z,u),x) = x. L(x,y \ R(y,z,u),x) != w | L(x,a(y,z,u),x) = w. L(x,a(y,z,u),x) = x. 1 / a(x,y,z) = a(x,y,z) \ 1. a(x,a(y,z,u),x) = 1. x \ y != 1 | x * a(z,a(u,w,v5),z) = y. x * a(y,a(z,u,w),y) = x. a(x,a(y,z,u),x) \ w = w. (x \ 1) * a(y,z,u) = x \ a(y,z,u). K(a(x,y,z),x * (y * z)) * (1 * u) = K((x * y) * z,x * (y * z)) * u. K(x,x * y) * a(x,y,x) != z | K(x,y) = z. K(x,a(y,z,u)) = K(x,x * a(y,z,u)). K(x,x * a(y,z,u)) = K(x,a(y,z,u)). a(x,y,x) \ z != u | z * (x \ L(x,y,x)) = u. x * (y \ L(y,a(z,u,w),y)) = x. a(x,a(y,z,u),x) != w | 1 = w. (a(x,y,z) \ 1) * y = y / a(x,y,z). a(x,x,y) * (z \ a(x,x,y)) = z \ 1. x * a(y,z,u) = (1 / x) \ a(y,z,u). (1 / x) \ a(y,z,u) = x * a(y,z,u). a(x,y,z) * u != w \ a(x,y,z) | T(w \ 1,a(x,y,z)) = u. T(x \ 1,a(y,z,u)) = T(x,a(y,z,u)) \ 1. x * y != z \ y | (y * z) \ y = x. (a(x,y,z) * u) \ a(x,y,z) = u \ 1. x * y != (y \ z) \ y | z \ y = x. x \ a(y,z,u) = (a(y,z,u) \ x) \ 1. (a(x,y,z) \ u) \ 1 = u \ a(x,y,z). (T(x,y) \ 1) * z != T(x,y) \ u | L(u,x,x) = z. L(a(x,y,z),u,u) = a(x,y,z). L(x,x,a(y,z,u)) = x. 1 / (x \ a(y,z,u)) = a(y,z,u) \ x. (x \ (y \ x)) * a(z,u,w) = T(y,x) \ a(z,u,w). x \ y != L(z,z,a(u,w,v5)) | x * z = y. a(x,y,z) * u = a(x,y,z) / (u \ 1). a(x,y,z) / (u \ 1) = a(x,y,z) * u. L(a(L(x,y,y),z,u),y,y) != w | x * L(L(L(x,y,y) \ 1,u,z),y,y) = w. x * L(L(L(x,y,y) \ 1,z,u),y,y) = a(L(x,y,y),u,z). x * y != L(a(z,u,w),v5,v5) | a(z,u,w) / y = x. a(x,y,z) / (u * a(x,y,z)) = 1 / u. L(a(x,y,z),u,w) = L(L(a(x,y,z),u,w),v5,v5). L(L(a(x,y,z),u,w),v5,v5) = L(a(x,y,z),u,w). x * ((x \ y) * a(z,u,w)) = (y * (a(z,u,w) * x)) / x. (x * (a(y,z,u) * w)) / w = w * ((w \ x) * a(y,z,u)). a(x,y,z) * L(u,w,w) = L(a(x,y,z) * u,w,w). L(a(x,y,z) * u,w,w) = a(x,y,z) * L(u,w,w). K(x,x * a(y,z,u)) != w | a(y,z,K(x,u)) = w. a(x,y,K(z,u)) = K(z,a(x,y,u)). x \ y != K(z,a(u,w,v5)) | x * a(u,w,K(z,v5)) = y. (x * y) * a(z,u,K(y,w)) = x * T(y,a(z,u,w)). x * a(y,z,K(x,u)) = T(x,a(y,z,u)). a(x,y,K(z,u)) = K(u,a(x,y,z)). T(a(x,y,z),u) = a(x,y,K(u,z)) * a(x,y,z). a(x,y,K(z,u)) * a(x,y,u) = T(a(x,y,u),z). x * a(y,z,K(x,u)) != w | T(x,a(y,z,u)) = w. x * (T(x,a(y,z,u)) \ w) = a(y,z,K(x,u)) * w. (x * y) * a(z,u,K(y,w)) != v5 | x * T(y,a(z,u,w)) = v5. 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 != K(z,a(u,w,v5)) | x * a(u,w,K(v5,z)) = y. x * a(y,z,K(u,x)) = T(x,a(y,z,u)). a(x,y,K(z,u)) != w | K(a(x,y,z),u) = w. T(a(x,y,z),u) = a(x,y,K(z,u)) * a(x,y,z). a(x,y,K(z,u)) * a(x,y,z) = T(a(x,y,z),u). a(x,y,K(z,u)) * a(x,y,z) != w | T(a(x,y,z),u) = w. L(x,y,z) * a(1 / x,z,K(y,u)) = x * T(a(1 / x,z,y),u). K(x,y) * K(y,L(x,z,u)) = K(a(u,z,x),y). a(x,y,K(z,u \ 1)) != w | a(x,y,K(z,u)) = w. a(x,y,K(z,u)) = K(a(x,y,z),u \ 1). K(a(x,y,z),u \ 1) = a(x,y,K(z,u)). a(x,y,K(z,u)) * T(T(a(x,y,z),u),w) = T(a(x,y,z),T(w,u)). a(1 / x,y,K(z,u)) * T(x,a(1 / x,y,z)) = T(a(1 / x,y,z),u) \ L(x,z,y). (x \ 1) \ a(y,y,z) = (x \ a(y,y,z)) \ 1. (x \ a(y,y,z)) \ 1 = (x \ 1) \ a(y,y,z). (x * a(y,z,u)) \ 1 = (a(y,z,u) \ 1) * (x \ 1). (a(x,y,z) \ 1) * (u \ 1) = (u * a(x,y,z)) \ 1. x \ a(y,y,z) = (x * a(y,y,z)) \ 1. (x * a(y,y,z)) \ 1 = x \ a(y,y,z). x \ y != (a(z,u,w) \ v5) \ 1 | x * (v5 \ a(z,u,w)) = y. x * (y \ a(z,u,w)) = T(a(z,u,w) \ y,x) \ x. T(a(x,y,z) \ u,w) \ w = w * (u \ a(x,y,z)). (a(x,y,z) \ u) \ T(w,a(x,y,z) \ u) = w * (u \ a(x,y,z)). (x \ a(y,z,u)) * (w * (a(y,z,u) \ x)) = (a(y,z,u) \ x) * (w / (a(y,z,u) \ x)). (a(x,y,z) \ u) * (w / (a(x,y,z) \ u)) = (u \ a(x,y,z)) * (w * (a(x,y,z) \ u)). (x * (L(x,y,z) \ u)) \ 1 = u \ a(x \ 1,z,y). T(a(x,y,z) \ u,u) = u / a(x,y,z). x * y != a(z,u,w) / (x \ 1) | T(a(z,u,w),x) = y. T(a(x,y,z),u) = T(a(x,y,z),u \ 1). T(a(x,y,z),u \ 1) = T(a(x,y,z),u). a(x,x,y) / z = 1 / (a(x,x,y) * z). 1 / (a(x,x,y) * z) = a(x,x,y) / z. x * a(y,z,a(x,u,u)) = T(x,a(y,z,u \ (u \ 1))). T(x,a(y,z,u \ (u \ 1))) = x * a(y,z,a(x,u,u)). x * a(y,z,K(x,u)) = T(x,a(y,z / u,u)). T(x,a(y,z / u,u)) = x * a(y,z,K(x,u)). a(x,x,y) * (T(z,u \ a(x,x,y)) * u) = (1 / (u * a(x,x,y))) \ z. 1 / (x * a(y,y,z)) = a(y,y,z) / x. K(a(x,y,z),u) * w = K(z,u) * (K(u,L(z,y,x)) * w). K(x,y) * (K(y,L(x,z,u)) * w) = K(a(u,z,x),y) * w. a(x \ 1,y,K(z,u)) * (x \ L(x,u,y)) = T(a(x \ 1,y,u),z). T(x,a(y,z / u,u)) != w | T(x,a(y,z,u)) = w. L(a(x,y,z) * u,w,w) = a(x,y,z) * (u * a(u,w,w)). a(x,y,z) * (u * a(u,w,w)) = L(a(x,y,z) * u,w,w). T(x,a(y,z,u \ (u \ 1))) = x * 1. x = T(x,a(y,z,u \ (u \ 1))). T(x,a(y,z,u \ (u \ 1))) = x. T(x,a(y,z,u \ (u \ 1))) != w | x = w. (x * (y * a(y,z,u))) / y = y * ((y \ x) * a(y,z,u)). (x * L(y,z,u)) / y = y * ((y \ x) * a(y \ 1,u,z)). x * ((x \ y) * a(x \ 1,z,u)) = (y * L(x,u,z)) / x. K(x,y) * z = K(a(u,w,x),y) * (K(x,L(y,w,u)) * z). K(a(x,y,z),u) * (K(z,L(u,y,x)) * w) = K(z,u) * w. x * (y * a(z,u,u)) != w | (x * y) * a(z,u,u) = w. (a(x,y,z) * u) * a(u,w,w) = L(a(x,y,z) * u,w,w). (a(x,y,z) * u) * a(w,w,u) = L(a(x,y,z) * u,w,w). x * y != L(x,z,z) | a(z,z,x) = y. a(x,x,a(y,z,u) * w) = a(x,x,w). a(x,x,L(y,z,u)) = a(x,x,y). a(x,y,y) = a(y,y,L(x,z,u)). a(x,x,L(y,z,u)) = a(y,x,x). (x \ a(x,x,y)) * L(y,z,u) = x \ L(y,z,u). a(x,y,y) * (z * L(x,u,w)) = z * L(L(x,u,w),y,y). x * L(x \ 1,y,z) = a(L(x,u,u),z,y). a(L(x,y,y),z,u) = x * L(x \ 1,u,z). a(x,y,z) = a(L(x,u,u),y,z). a(L(x,y,y),z,u) = a(x,z,u). a((x \ 1) \ y,z,u) = a(x * y,z,u). a(x / y,z,u) = a(x * (y \ 1),z,u). a(x * (y \ 1),z,u) = a(x / y,z,u). a(x * (y \ 1),z,u) != w | a(x * (1 / y),z,u) = w. a(x * (1 / y),z,u) = a(x / y,z,u). a(x * (1 / y),z,u) = a(x / ((y \ 1) \ 1),z,u). a(x / ((y \ 1) \ 1),z,u) = a(x * (1 / y),z,u). a(x * (1 / (x * y)),z,u) != w | a(x * (y \ (1 / x)),z,u) = w. a(x * (y \ (1 / x)),z,u) = a(x / (x * y),z,u). a(x * y,z,u) = a(x / (y \ 1),z,u). a(x / (y \ 1),z,u) = a(x * y,z,u). a((x * y) \ 1,z,u) = a((y \ 1) * (1 / x),z,u). a((x \ 1) * (1 / y),z,u) = a((y * x) \ 1,z,u). a((x \ 1) * (1 / y),z,u) != w | a((y / (1 / x)) \ 1,z,u) = w. a((x / (1 / y)) \ 1,z,u) = a((x * y) \ 1,z,u). a(x,x,y) * (T(z,u \ 1) * u) = (1 / (u * a(x,x,y))) \ z. a(x,x,y) * ((1 / z) \ u) = (1 / (z * a(x,x,y))) \ u. (1 / (x * a(y,y,z))) \ u = a(y,y,z) * ((1 / x) \ u). (a(x,x,y) / z) \ u = a(x,x,y) * ((1 / z) \ u). a(x,x,y) * ((1 / z) \ u) = (a(x,x,y) / z) \ u. ((1 / x) \ y) * a(z,z,u) = (a(z,z,u) / x) \ y. (x \ y) * a(z,z,u) = (a(z,z,u) / (x \ 1)) \ y. (a(x,x,y) / (z \ 1)) \ u = (z \ u) * a(x,x,y). (a(x,x,y) * z) \ u = (z \ u) * a(x,x,y). x != (y \ z) * a(u,u,z) | y \ L(z,u,u) = x. x \ L(y,z,z) = (a(z,z,y) * x) \ y. (a(x,x,y) * z) \ y = z \ L(y,x,x). (a(x,y,y) * z) \ x = z \ L(x,y,y). x != y \ L(z,y,y) | (y \ 1) * z = x. (x \ 1) * y = (a(y,x,x) * x) \ y. (a(x,y,y) * y) \ x = (y \ 1) * x. L(x,y,x) \ y = (x \ 1) * y. L(x,x,y) = L(x,y,x). L(x,y,x) = L(x,x,y). x * a(y,x,x) = L(x,x,y). x != L(y \ 1,y \ 1,z) | L(y,y,z) \ 1 = x. L(x,x,y) \ 1 = L(x \ 1,y,x \ 1). L(x \ 1,y,x \ 1) = L(x,x,y) \ 1. x != L(y,y,z) | z \ (z / (y \ 1)) = x. x \ (x / (y \ 1)) = L(y,x,y). L(x,y,x) = y \ (y / (x \ 1)). L(x,x \ y,x) != z | (x \ 1) \ a(x,x,y) = z. (x \ 1) \ a(x,x,y) = L(x,x,x \ y). L(x,y,x) != z | x * a(x,x,y) = z. x * a(x,x,y) = L(x,x,y). x * y != L(z,u,z) | x \ L(z,z,u) = y. x \ L(x,x,y) = a(x,x,y). x * L(x,x,y) = T(x * x,y). L(L(x,x,y),x,x) = (x \ 1) \ a(x,x,y). (1 / x) \ L(x,x,y) = T((1 / x) \ x,y). (x * x) \ L(x,x,y) = a(x,x,y) / x. a(x,y,y) * (y \ z) = L(y,y,x) \ z. L(L(x,y,z),u,L(x,w,v5)) = L(L(x,x,u),y,z). a(x,x,y) * (z * x) = z * L(x,x,y). R(x,y,L(z,z,u) \ w) = R(x,y,z \ w). L(x,y,L(z,z,u)) = L(x,y,z). a(L(x,x,y),z,u) = a(x,z,u). x * a(y,x,x) != z | L(x,y,T(x \ 1,u)) = z. L(x,y,T(x \ 1,z)) = L(x,x,y). L(x,x,y) * z = a(x,x,y) * (x * z). a(x,x,y) * (x * z) = L(x,x,y) * z. L(L(x,x,y),z,u) = L(x,z,u) * a(x,x,y). L(x,y,z) * a(x,x,u) = L(L(x,x,u),y,z). x / L(y,y,z) = (x / y) * a(y,y,z). (x / y) * a(y,y,z) = x / L(y,y,z). x != a(y,y,z) | a(y,y,L(z,u,w)) = x. a(x,x,L(y,z,u)) = x \ L(x,x,y). x != y \ (y / ((z \ y) \ 1)) | (y \ z) \ 1 = x. (x \ y) \ 1 = L(y \ x,x,y \ x). L(x \ y,y,x \ y) = (y \ x) \ 1. x != T(y * y,y * z) | T(y * y,y \ z) = x. T(x * x,x \ y) = x * L(x,x,x * y). x * L(x,x,x * y) = T(x * x,x \ y). (L(x,x,y) * z) * L(u,z,x) != w | L(x,x,y) * (z * u) = w. K(x,L(L(y,y,z) \ 1,u,w) \ 1) = K(x,a(y,w,u) \ y). R(x,y,T(L(z,z,z) \ 1,u) \ w) = R(x,y,T(z \ 1,u) \ w). x \ y != a(x,x,z) | L(x,x,z) = y. L(x,x,L(y,z,u)) = L(x,x,y). R(x,(y \ z) \ 1,u) = R(x,z \ y,u). a((x \ y) \ 1,z,u) = a(y \ x,z,u). ((L(x,x,y) \ 1) \ 1) \ 1 = L(1 / x,y,x \ 1). (x \ 1) \ a(y,y,z) != u | (x \ a(y,y,z)) \ 1 = u. (x \ a(x,x,y)) \ 1 = L(x,x,x \ y). T(L(x,x,y),x * x) * ((x * x) \ 1) = a(x,x,y) / x. a(x,x,y) * (x \ z) = L(x,x,y) \ z. R(x,L(y,y,z) \ u,w) = R(x,y \ u,w). a(x,x,y) * z = (z / x) * L(x,x,y). (x / y) * L(y,y,z) = a(y,y,z) * x. a(x,x,y) * (z * (u * x)) = z * (u * L(x,x,y)). a(x,x,y) * (z * u) != w | z * (u * a(x,x,y)) = w. x * (y * a(x,x,z)) = L(x,x,z) * y. x * y != a(z,z,u) * (z * w) | x \ (L(z,z,u) * w) = y. x \ (L(x,x,y) * z) = z * a(x,x,y). T(x,y * (L(z,z,u) * w)) = T(x,y * (z * w)). R(x,(y \ (z \ y)) \ 1,u) != w | R(x,T(z,y),u) = w. R(x,T(y,z),u) = R(x,(y \ z) \ z,u). R(x,(y \ z) \ z,u) = R(x,T(y,z),u). R(x,T(y,z) \ 1,u) = R(x,(y * z) \ z,u). R(x,(y \ 1) * T(z \ 1,u),w) = R(x,y \ T(1 / z,u),w). (x \ y) \ L(x \ y,z,u) = a(y \ x,u,z). a(x \ 1,y,z) = a((u * x) \ u,y,z). a((x * y) \ x,z,u) = a(y \ 1,z,u). L(x \ y,z,u) \ (x \ y) = a(y \ x,u,z) \ 1. a(x * ((y \ 1) \ 1),z,u) = a((1 / x) \ y,z,u). a(x,x,y) * (z * (x \ u)) = z * (L(x,x,y) \ u). (L(x,x,y) \ z) * u = a(x,x,y) * ((x \ z) * u). a(x,x,y) * ((x \ z) * u) = (L(x,x,y) \ z) * u. L(x,L(y,y,z) \ u,w) != v5 | L(x,y \ u,w) = v5. (L(x,x,y) * z) * L(u,z * a(x,x,y),x) = x * ((z * a(x,x,y)) * u). 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 \ (y * T(x * x,z)) = L(x,x,z) * y. R(x,y / z,u) = R(x,T(z \ y,y),u). R(x,T(y \ z,z),u) = R(x,z / y,u). a(x / y,z,u) = a((y / x) \ 1,z,u). a((x / y) \ 1,z,u) = a(y / x,z,u). R(x,y \ (z * z),u) = R(x,z / (y / z),u). R(x,y / (z / y),u) = R(x,z \ (y * y),u). a((x / (1 / y)) \ 1,z,u) != w | a((x * y) \ 1,z,u) = w. a((x * y) \ 1,z,u) = a((1 / y) / x,z,u). a((1 / x) / y,z,u) = a((y * x) \ 1,z,u). L(x / y,z,u) \ (x / y) = a(y / x,u,z) \ 1. x != (y \ 1) \ a(y,y,z) | L(y,y,y \ z) = x. L(x,x,x \ y) = L(L(x,x,y),x,x). L(L(x,x,y),x,x) = L(x,x,x \ y). R(x,y,(z * u) \ z) = R(x,y,u \ 1). R(x,y,z \ (z / u)) = R(x,y,u \ 1). R(x,y,z / u) = R(x,y,(u / z) \ 1). R(x,y,(z / u) \ 1) = R(x,y,u / z). R(x,y,z / (u * z)) = R(x,y,u \ 1). R(x,y,T(z \ u,u)) = R(x,y,u / z). R(x,y,y / (z * y)) != u | L(x,(y \ z) * (y \ 1),y) = u. L(x,(y \ z) * (y \ 1),y) = R(x,y,z \ 1). x * y != T(x * x,z) | L(x,x,z) = y. L(x,x,x \ y) = L(x,x,x * y). L(x,x,x \ y) != z | (x \ a(x,x,y)) \ 1 = z. (x \ a(x,x,y)) \ 1 = L(x,x,x * y). (x \ a(y,x,x)) \ 1 = L(x,x,x * y). (x \ a(x,y,x \ 1)) \ 1 = L(x,x,x * y). R(x,(y \ 1) * z,u) = R(x,y \ z,u). R(x,y * (z \ 1),u) != w | R(x,y / z,u) = w. R(x,(y \ 1) / z,u) = R(x,y \ (z \ 1),u). x * (L(x,x,y) * z) = z * T(x * x,y). x * (L(x,y,z) * u) != w | L(x,y,z) * (x * u) = w. L(x,x,y) * (x * z) = z * T(x * x,y). L(x,x,y) * z != u | a(x,x,y) * (x * z) = u. a(x,x,y) * (x * (x * z)) = z * T(x * x,y). L(x,y,x) * (x * z) = z * T(x * x,y). L(x \ 1,y,x \ 1) * (x \ z) = L(z,x,x) * T((x \ 1) * (x \ 1),y). L(x,y,y) * T((y \ 1) * (y \ 1),z) = L(y \ 1,z,y \ 1) * (y \ x). T(x,y * T(z * z,u)) = T(x,z * (z * y)). a(x,x,y) * L(x,z,u) = L(L(x,x,y),z,u). R(x,y \ (z \ y),u) = R(x,(z * y) \ y,u). R(x,(y * z) \ z,u) = R(x,z \ (y \ z),u). (x \ 1) * L(x,x,y) = x * (1 / L(x,x,y)). x != (y \ 1) * (y / z) | y * ((1 / y) / z) = x. x * ((1 / x) / L(x \ 1,x \ 1,y)) = L(x \ 1,x \ 1,y) * (x / (x \ 1)). L(x \ 1,x \ 1,y) * (x / (x \ 1)) = x * ((1 / x) / L(x \ 1,x \ 1,y)). R(x,y * (y / z),u) = R(x,z \ (y * y),u). R(x,y \ (z * z),u) = R(x,z * (z / y),u). a((1 / x) / y,z,u) != w | a(x \ (y \ 1),z,u) = w. a(x \ (y \ 1),z,u) = a((y * x) \ 1,z,u). a((x * y) \ 1,z,u) = a(y \ (x \ 1),z,u). L(x,y \ (z / y),y) = R(x,y,z \ 1). L(x,y \ (z / y),y) != u | L(x,y \ (y \ z),y) = u. L(x,y \ (y \ z),y) = R(x,y,z \ 1). x != L(y,y,z) | y * a(y,y,z) = x. x * a(x,x,x * y) = (x \ a(x,y,x \ 1)) \ 1. (x \ a(x,y,x \ 1)) \ 1 = x * a(x,x,x * y). R(x,(y * z) \ z,z) != u | R(x,y \ 1,z) = u. R(x,y \ 1,z) = R(x,z \ (y \ z),z). R(x,y \ (z \ y),y) = R(x,z \ 1,y). R(x,y \ (z \ y),y) != u | L(x,y,((z / y) \ y) \ 1) = u. L(x,y,((z / y) \ y) \ 1) = R(x,z \ 1,y). (x \ 1) * y != z | x * ((x * x) \ y) = z. x * ((x * x) \ L(x,x,y)) = x * (1 / L(x,x,y)). (x * y) \ L(x * y,z,u) = a(y \ (x \ 1),u,z). a(x * (y / x),z,u) = a((1 / x) \ ((x / y) \ 1),z,u). a((1 / x) \ ((x / y) \ 1),z,u) = a(x * (y / x),z,u). L(x,y,y \ (z / y)) = R(x,z \ 1,y). L(x,y,y \ (y \ z)) = R(x,z \ 1,y). L(x,y \ z,(z \ y) * y) = R(x,z \ 1,y \ z). x != R(y,z,z \ (u \ 1)) | L(y,z \ u,z) = x. L(x,(y \ 1) \ z,y \ 1) = L(x,(y \ 1) \ (z \ 1),((y \ 1) \ (z \ 1)) \ (((y \ 1) \ (z \ 1)) \ y)). L(x,(y \ 1) \ (z \ 1),((y \ 1) \ (z \ 1)) \ (((y \ 1) \ (z \ 1)) \ y)) = L(x,(y \ 1) \ z,y \ 1). L(x,y / z,(y / z) \ (z \ 1)) = R(x,(z \ (z \ y)) \ 1,y / z). R(x,(y \ (y \ z)) \ 1,z / y) = L(x,z / y,(z / y) \ (y \ 1)). L(x,T(y,z),y \ (y \ u)) = R(x,u \ 1,T(y,z)). L(x,y \ 1,z * ((1 / y) \ y)) = R(x,z \ 1,y \ 1). L(x,(y \ z) \ 1,((y \ z) \ 1) \ (z \ (z / y))) = R(x,(z \ 1) \ 1,(y \ z) \ 1). x != L(L(y,y,z),u,w) | a(y,y,z) * L(y,u,w) = x. a(x,x,y) * L(x,z,u) = L(L(x,z,u),y,L(x,w,v5)). L(L(x,y,z),u,L(x,w,v5)) = a(x,x,u) * L(x,y,z). a(x,y,y) * (y * (y * z)) = z * T(y * y,x). a(x,y,y) * (y * (y * z)) != u | T(y * y,x) * L(z,y,y) = u. T(x * x,y) * L(z,x,x) = z * T(x * x,y). T(x * x,y) * z != a(y,x,x) * (x * (x * u)) | T(u,T(x * x,y)) = z. T(x,T(y * y,z)) = L(x,y,y). T(x,T((y * z) * (y * z),z)) != u | T(x,z * (y * ((1 / z) \ y))) = u. T(x,y * (z * ((1 / y) \ z))) = L(x,z * y,z * y). T(x,y \ (z * (y \ z))) = L(x,y \ z,y \ z). T(x,y * T(z * z,u)) = T(x,T(z * z,u) * y). T(x,T(y * y,z) * u) = T(x,u * T(y * y,z)). T(x,y \ ((z \ (1 / u)) * w)) != v5 | T(x,y \ ((u * z) \ w)) = v5. T(x,y \ ((z * u) \ (y \ (u \ (1 / z))))) = L(x,y \ (u \ (1 / z)),y \ (u \ (1 / z))). L(x,y \ (z \ (1 / u)),y \ (z \ (1 / u))) = T(x,y \ ((u * z) \ (y \ (z \ (1 / u))))). 1 / L(x,x,y) = L(1 / x,y,x \ 1). L(1 / x,y,x \ 1) = 1 / L(x,x,y). L(x,y,(z \ u) \ w) != v5 | L(x,y,(u \ z) * w) = v5. L(1 / (x \ y),z,(y \ x) * 1) = 1 / L(x \ y,x \ y,z). x * y != a(z,z,u) * (w * (v5 * z)) | (w * (v5 * L(z,z,u))) / y = x. (x * (y * L(z,z,u))) / L(z,z,u) = (x * (y * z)) / z. a(x * (y \ 1),z,u) != w | a(x / y,z,u) = w. a(x / (y \ 1),z,u) = a((1 / x) \ y,z,u). a(x / (y \ 1),z,u) != w | a(x * y,z,u) = w. a(x * y,z,u) = a((1 / x) \ y,z,u). a((1 / x) \ y,z,u) = a(x * y,z,u). a(x \ y,z,u) = a((x \ 1) * y,z,u). a((x \ 1) * y,z,u) = a(x \ y,z,u). x != a(y,z,y) | a(z,y,y) = x. a(x,y \ z,y \ z) = a((y \ 1) * z,x,y \ z). a((x \ 1) * y,z,x \ y) = a(z,x \ y,x \ y). a(x,x,y) * (z * (x \ u)) != w | z * (L(x,x,y) \ u) = w. (x \ y) * (L(x,x,z) \ u) = (L(x,x,z) \ y) * (x \ u). (L(x,x,y) \ z) * (x \ u) = (x \ z) * (L(x,x,y) \ u). L(x,y,z * ((L(u,u,w) \ v5) * v6)) = L(x,y,z * ((u \ v5) * v6)). L(x,T(y \ 1,z),u) != w | L(x,T(y,z) \ 1,u) = w. L(x,(y \ 1) * z,(u \ 1) * w) != v5 | L(x,y \ z,u \ w) = v5. x != y * a(z,z,u) | a(z,z,u) / (y \ 1) = x. a(x,x,x * y) / (x \ 1) = (x \ a(x,y,x \ 1)) \ 1. (x \ a(x,y,x \ 1)) \ 1 = a(x,x,x * y) / (x \ 1). L(x,T(y,z),u \ (y \ 1)) = R(x,(u \ y) \ 1,T(y,z)). R(x,(y \ z) \ 1,T(z,u)) = L(x,T(z,u),y \ (z \ 1)). x != T(y,z * T(u * u,w)) | T(y,u * (u * z)) = x. T(x,y * (y * z)) = T(x,T(y * y,u) * z). T(x,T(y * y,z) * u) = T(x,y * (y * u)). T(x,T(y * y,z) * u) = T(x,u * (y * y)). ((1 / ((1 / x) \ y)) \ a(x,y \ (x \ 1),y \ (x \ 1))) * x = x / ((y * x) \ 1). L(L(x,y,z),u,L(x,w,v5)) = a(u,x,x) * L(x,y,z). T(x,y * (z * (y * z))) = L(x,z * y,z * y). a(x,L(y,z,u),L(y,z,u)) = a(x,y,y). ((1 / L(x,y,z)) \ a(u,x,x)) * u = (1 / L(x,y,z)) \ u. L(x,(y * z) \ 1,u) != w | L(x,z \ (y \ 1),u) = w. L(L(x,x,y),x,x) * ((x * x) \ 1) = a(x,x,y) / x. L(x,x,x \ y) * ((x * x) \ 1) = a(x,x,y) / x. L(x,x,x \ y) * (x \ (x \ 1)) = a(x,x,y) / x. x \ (x \ L(x,x,x \ y)) = a(x,x,y) / x. x \ a(x,x,x \ y) = a(x,x,y) / x. x \ y != a(z,z,u) / z | x * ((z * z) \ L(z,z,u)) = y. x * ((x * x) \ L(x,x,y)) = a(x,x,x \ y). a(x,x,y) / x != x \ z | a(x,x,x \ y) = z. x \ y != a(x,x,z) / x | a(x,x,x \ z) = y. x \ (a(x,x,y) / x) = T(x * x,x \ y) \ 1. T(x * x,x \ y) \ 1 = x \ (a(x,x,y) / x). x * ((x * x) \ L(x,x,y)) != z | x * (1 / L(x,x,y)) = z. x * (1 / L(x,x,y)) = a(x,x,x \ y). T(x * x,x * y) \ 1 = x \ (a(x,x,y) / x). x \ a(x,x,x * y) = a(x,x,y) / x. a(x,x,x \ y) = a(x,x,x * y). a(x,x,x \ y) != z | x * (1 / L(x,x,y)) = z. x * (1 / L(x,x,y)) = a(x,x,x * y). x * y != a(z,z,u * w) | x \ a(z,z,w * u) = y. x \ a(x,x,y * x) = 1 / L(x,x,y). x \ (1 / L(x,x,y)) = T(x * x,y * x) \ 1. T(x * x,y * x) \ 1 = x \ (1 / L(x,x,y)). x != y \ (1 / L(y,z,u)) | (y \ 1) * (L(y,z,u) \ 1) = x. (x \ 1) * (L(x,x,y) \ 1) = T(x * x,y * x) \ 1. (x \ 1) * ((y * x) \ y) = T(x * x,y * x) \ 1. T(x * x,y * x) \ 1 = (x \ 1) * ((y * x) \ y). x != (y \ 1) * ((z * y) \ z) | T(y \ (1 / y),z) = x. T(x \ (1 / x),y) = T(x * x,y * x) \ 1. T(x * x,y * x) \ 1 = T(x \ (1 / x),y). x \ y != T(z * z,u * z) \ 1 | x * T(z \ (1 / z),u) = y. T(x,T(y * y,z * y)) * T(y \ (1 / y),z) = T(y * y,z * y) \ x. a(x * ((1 / y) \ (1 / x)),z,u) = a(x * (y / x),z,u). L(x,y \ 1,z \ ((1 / y) \ y)) = R(x,(z \ 1) \ 1,y \ 1). (x \ a(x,y,z)) \ u != w | L(x \ 1,z,y) \ u = w. L(x \ 1,x \ 1,y) \ 1 = a(x,x,x * y) / (x \ 1). a(x * (y \ (1 / x)),z,u) != w | a(x / (x * y),z,u) = w. a(x / (x * (1 / y)),z,u) = a(x * (y / x),z,u). a((x \ (y \ x)) \ 1,z,u) = a(x * (y / x),z,u). a((x \ y) \ 1,z,u) != w | a(y \ x,z,u) = w. a((x \ y) \ y,z,u) = a(y * (x / y),z,u). L((x \ y) \ 1,(x \ y) \ 1,x) \ 1 = a(x \ y,x \ y,y) / ((x \ y) \ 1). K(x,L(y \ z,u,w) \ 1) != v5 | K(x,L(z \ y,u,w)) = v5. K(x,L(1 \ L(y,y,z),u,w)) = K(x,a(y,w,u) \ y). K(x,L(L(y,y,z),u,w)) = K(x,a(y,w,u) \ y). K(x,L(y,z,u)) = K(x,a(y,u,z) \ y). K(x,a(y,z,u) \ y) = K(x,L(y,u,z)). ((1 / L(x,y,z)) \ a(x,x,u)) * u = (1 / L(x,y,z)) \ u. (L(x,y,z) * a(x,x,u)) * u = (1 / L(x,y,z)) \ u. L(L(x,x,y),z,u) * y = (1 / L(x,z,u)) \ y. L(1 / (x \ y),z,(y \ x) * 1) = 1 / L(x \ y,z,x \ y). L(x,y,z \ ((u / w) \ v5)) != v6 | L(x,y,z \ ((w / u) * v5)) = v6. L(x,y \ 1,z \ ((y / 1) * y)) = R(x,(z \ 1) \ 1,y \ 1). L(1 / (x \ y),z,y \ x) = 1 / L(x \ y,z,x \ y). L(x,y \ 1,z \ (y * y)) = R(x,(z \ 1) \ 1,y \ 1). R(x,(y \ 1) \ 1,z \ 1) = L(x,z \ 1,y \ (z * z)). x != L(y,z,u \ (w * w)) | L(y,z,w * (w / u)) = x. L(x,y \ 1,y * (y / z)) = R(x,(z \ 1) \ 1,y \ 1). R(x,(y \ 1) \ 1,z \ 1) = L(x,z \ 1,z * (z / y)). x != L(y,z \ 1,z * (z / u)) | L(y,z \ 1,z * (u \ z)) = x. L(x,y \ 1,y * (z \ y)) = R(x,(z \ 1) \ 1,y \ 1). R(x,(y \ 1) \ 1,z \ 1) = L(x,z \ 1,z * (y \ z)). R(x,(y \ 1) \ 1,z) != u | R(x,y,z) = u. R(x,y,z \ 1) = L(x,z \ 1,z * (y \ z)). L(x,y \ 1,y * (z \ y)) = R(x,z,y \ 1). L(x,T(1 / y,z) \ 1,((u * T(y,z)) \ 1) / T(y,z)) = R(x,u,T(1 / y,z) \ 1). R(x,y,T(1 / z,u) \ w) = R(x,y,T(z \ 1,u) \ w). x != R(y,z,T(u \ 1,w) \ v5) | R(y,z,T(u,w) * v5) = x. R(x,y,T(z,u) * w) = R(x,y,T(1 / z,u) \ w). R(x,y,T(1 / z,u) \ w) = R(x,y,T(z,u) * w). L(x,y,z * (((u \ 1) * w) * v5)) = L(x,y,z * ((u \ w) * v5)). L(x,y,z * ((((u * w) \ u) * v5) * v6)) = L(x,y,z * ((L(w,w,u) \ v5) * v6)). L(x,y,z * ((L(u,u,w) \ v5) * v6)) = L(x,y,z * ((((w * u) \ w) * v5) * v6)). R(x,(y \ (y \ z)) \ 1,z / y) = L(x,z / y,y \ ((y \ z) \ 1)). x != L(y,z,u \ ((w \ v5) \ v6)) | L(y,z,u \ ((v5 \ w) * v6)) = x. L(x,y / z,z \ ((y \ z) * 1)) = R(x,(z \ (z \ y)) \ 1,y / z). R(x,(y \ (y \ z)) \ 1,z / y) = L(x,z / y,y \ ((z \ y) * 1)). R(x,(y \ (y \ z)) \ 1,z / y) = L(x,z / y,y \ (z \ y)). (L(x,x,y) * z) * L(u,z,x) = x * ((z * a(x,x,y)) * u). L(x,x,y) * (z * u) = x * ((z * a(x,x,y)) * u). x * ((y * a(x,x,z)) * u) = L(x,x,z) * (y * u). x * (y * (a(x,x,z) * u)) = L(x,x,z) * (y * u). x * (L(L(x,x,y),z,u) * w) = L(x,x,y) * (L(x,z,u) * w). L(x,x,y) * (L(x,z,u) * w) = x * (L(L(x,x,y),z,u) * w). x * (L(x,y,z) * (a(L(x,y,z),L(x,y,z),u) * w)) = L(L(x,y,z),L(x,y,z),u) * (x * w). L(x,y,y) * T(y \ (1 / y),z) = L(y \ 1,z,y \ 1) * (y \ x). L(x \ 1,y,x \ 1) * (x \ z) = L(z,x,x) * T(x \ (1 / x),y). (L(x,x,y) \ 1) * (x \ z) = L(z,x,x) * T(x \ (1 / x),y). L(x,y,y) * T(y \ (1 / y),z) = (L(y,y,z) \ 1) * (y \ x). x != (L(y,y,z) \ u) * (y \ w) | (y \ u) * (L(y,y,z) \ w) = x. (x \ 1) * (L(x,x,y) \ z) = L(z,x,x) * T(x \ (1 / x),y). L(x,y,y) * T(y \ (1 / y),z) = (y \ 1) * (L(y,y,z) \ x). L(x,y,y) * T(y \ (1 / y),z) = T(y * y,z * y) \ x. L(x,y,y) * T(y \ (1 / y),z) != u | (y \ 1) * (L(y,y,z) \ x) = u. (x \ 1) * (L(x,x,y) \ z) = T(x * x,y * x) \ z. ((1 / (x \ y)) \ 1) * (L(1 / (x \ y),1 / (x \ y),y) \ z) = T((1 / (x \ y)) * (1 / (x \ y)),((y / x) \ 1) * y) \ z. K(a(x,y,z),x * (y * z)) * u = K((x * y) * z,x * (y * z)) * u. K((x * y) * z,x * (y * z)) * u = K(a(x,y,z),x * (y * z)) * u. 1 * x = K(a(y,z,u),y * (z * u)) * x. K(a(x,y,z),x * (y * z)) * u = 1 * u. x != K(a(y,z,u),y * (z * u)) * w | w = x. a(x,y,z) = T(a(x,y,z),x * (y * z)). T(a(x,y,z),x * (y * z)) = a(x,y,z). ((x * y) * z) / (x * (y * z)) = a(x,y,z). a(x,y,z) = ((x * y) * z) / (x * (y * z)). R(x \ R(x,y,z),x,y * z) = a(x,y,z). a(x,y,z) = R(x \ R(x,y,z),x,y * z). T(a(x,y,z),x * (y * z)) != u | a(x,y,z) = u. a(x,y,z) * (x * (y * z)) = (x * y) * z. x * y != a(z,u,w) * (z * (u * w)) | ((z * u) * w) / y = x. ((x * y) * z) / L(y * z,x,a(x,y,z)) = a(x,y,z) * x. T(a(x * y,z,x),x * ((y * z) * x)) != u | a(x * y,z,x) = u. L(x,y,z * ((L(u,u,w) \ v5) * v6)) != v7 | L(x,y,z * ((u \ v5) * v6)) = v7. L(x,y,z * ((u \ w) * v5)) = L(x,y,z * ((((v6 * u) \ v6) * w) * v5)). L(x,y,z * ((((u * w) \ u) * v5) * v6)) = L(x,y,z * ((w \ v5) * v6)). L(x,y,z * (((u \ w) * v5) * v6)) = L(x,y,z * (((w \ u) \ v5) * v6)). L(x,y,z * (((u \ w) \ v5) * v6)) = L(x,y,z * (((w \ u) * v5) * v6)). L(x,y,z * (u * ((w \ v5) \ v6))) = L(x,y,z * (((v5 \ w) * v6) * T(u,(w \ v5) \ v6))). L(x,y,z * (((u \ w) * v5) * T(v6,(w \ u) \ v5))) = L(x,y,z * (v6 * ((w \ u) \ v5))). (L(x,x,y) \ 1) * (x / (x \ 1)) = x * ((1 / x) / L(x \ 1,x \ 1,y)). x * ((1 / x) / L(x \ 1,x \ 1,y)) = (L(x,x,y) \ 1) * (x / (x \ 1)). x * ((1 / x) / L(x \ 1,x \ 1,y)) = (L(x,x,y) \ 1) * ((1 / x) \ x). x != (y \ 1) * ((1 / z) \ z) | y \ ((1 / z) \ z) = x. L(x,x,y) \ ((1 / x) \ x) = x * ((1 / x) / L(x \ 1,x \ 1,y)). x * ((1 / x) / L(x \ 1,x \ 1,y)) = L(x,x,y) \ ((1 / x) \ x). x * ((1 / x) / y) != z | (x \ 1) * (x / y) = z. (x \ 1) * (x / L(x \ 1,x \ 1,y)) = L(x,x,y) \ ((1 / x) \ x). x * ((1 / x) / (L(x,x,y) \ 1)) = L(x,x,y) \ ((1 / x) \ x). x * ((x \ 1) * L(x,x,y)) = L(x,x,y) \ ((1 / x) \ x). L(x,x,y) \ ((1 / x) \ x) = x * ((x \ 1) * L(x,x,y)). L(x,x,y) \ ((1 / x) \ x) = x * (x * (1 / L(x,x,y))). L(x,x,y) \ ((1 / x) \ x) = x * a(x,x,x * y). x != y * a(y,y,z) | L(y,y,z) = x. L(x,x,x * y) = L(x,x,y) \ ((1 / x) \ x). L(x,x,y) \ ((1 / x) \ x) = L(x,x,x * y). x != L(y,y,z) \ ((1 / y) \ y) | L(y,y,y * z) = x. L(x,x,x * y) = (x \ 1) * (x / L(x \ 1,x \ 1,y)). (x \ 1) * (x / L(x \ 1,x \ 1,y)) = L(x,x,x * y). (x \ 1) * (x / (L(x,x,y) \ 1)) = L(x,x,x * y). L((x \ y) \ 1,(x \ y) \ 1,x) \ 1 = a(y,x \ y,x \ y) / ((x \ y) \ 1). ((1 / ((1 / x) \ y)) \ a(x,(1 \ x) * y,(1 \ x) * y)) * x = x / ((y * x) \ 1). ((1 / ((1 / x) \ y)) \ a(x,x * y,(1 \ x) * y)) * x = x / ((y * x) \ 1). ((1 / ((1 / x) \ y)) \ a(x,x * y,x * y)) * x = x / ((y * x) \ 1). ((1 / ((1 / x) \ y)) \ K(x,y * (x \ y))) * x = x / ((y * x) \ 1). (((1 / x) \ y) * K(x,y * (x \ y))) * x = x / ((y * x) \ 1). T(x * T(y,x * (y \ x)),y) * y = y / ((x * y) \ 1). T((x \ y) \ (y * y),x) * x = x / ((y * x) \ 1). x * ((x \ y) \ (y * y)) = x / ((y * x) \ 1). a(1 / x,y,K(z,u)) * x = T(a(1 / x,y,z),u) \ L(x,z,y). T(a(1 / x,y,z),u) \ L(x,z,y) = a(1 / x,y,K(z,u)) * x. x != a(1 / y,z,u) * y | L(y,u,z) = x. L(x,K(y,z),u) = T(a(1 / x,u,y),z) \ L(x,y,u). T(a(1 / x,y,z),u) \ L(x,z,y) = L(x,K(z,u),y). L(x,(y \ z) \ 1,(y * (z \ y)) \ 1) = R(x,(z \ 1) \ 1,(y \ z) \ 1). L(x,(y \ z) \ 1,(z \ y) \ (y \ 1)) = R(x,(z \ 1) \ 1,(y \ z) \ 1). L(x,(y \ z) \ 1,(y \ z) * (y \ 1)) = R(x,(z \ 1) \ 1,(y \ z) \ 1). L(x,(y \ z) \ 1,y \ (z / y)) = R(x,(z \ 1) \ 1,(y \ z) \ 1). R(x,(y \ 1) \ 1,(z \ y) \ 1) = L(x,(z \ y) \ 1,z \ (y / z)). x != L(y,(z \ u) \ 1,w) | L(y,u \ z,w) = x. L(x,y \ z,z \ (y / z)) = R(x,(y \ 1) \ 1,(z \ y) \ 1). R(x,(y \ 1) \ 1,(z \ y) \ 1) = L(x,y \ z,z \ (y / z)). x != L(y,z \ u,u \ (z / u)) | L(y,z \ u,u \ (u \ z)) = x. L(x,y \ z,z \ (z \ y)) = R(x,(y \ 1) \ 1,(z \ y) \ 1). R(x,(y \ 1) \ 1,(z \ y) \ 1) = L(x,y \ z,z \ (z \ y)). L(x,y,((z * u) \ 1) / u) != w | L(x,y,u \ (z \ (u \ 1))) = w. L(x,T(1 / y,z) \ 1,T(y,z) \ (u \ (T(y,z) \ 1))) = R(x,u,T(1 / y,z) \ 1). L(x,y,z * (((u \ w) * v5) * T(v6,(u \ w) * v5))) = L(x,y,z * (v6 * ((w \ u) \ v5))). L(x,y,z * (u * ((w \ v5) * v6))) = L(x,y,z * (u * ((v5 \ w) \ v6))). L(x,y,z * (u * ((w \ v5) \ v6))) = L(x,y,z * (u * ((v5 \ w) * v6))). L(x,y,z * (u * (w \ v5))) = L(x,y,z * (u * ((w \ 1) * v5))). L(x,y,z * (u * ((w \ 1) * v5))) = L(x,y,z * (u * (w \ v5))). L(x,y,z * (u * (w * v5))) != v6 | L(x,y,z * (u * ((w \ 1) \ v5))) = v6. L(x,y,z * (u * (((w \ 1) \ 1) \ v5))) = L(x,y,z * (u * (w \ v5))). L(x,y,z * (u * (((w \ 1) \ (v5 \ 1)) * v6))) = L(x,y,z * (u * (((w / v5) \ 1) \ v6))). L(x,y,z * (u * (((w \ 1) \ (v5 \ 1)) \ v6))) = L(x,y,z * (u * ((w / v5) \ v6))). L(x,y,z * (u * ((w \ v5) \ v6))) != v7 | L(x,y,z * (u * ((v5 \ w) * v6))) = v7. L(x,y,z * (u * (((w \ 1) \ (v5 \ 1)) * v6))) = L(x,y,z * (u * ((v5 / w) \ v6))). x != L(y,z,u * (w * ((v5 \ 1) \ v6))) | L(y,z,u * (w * (v5 * v6))) = x. L(x,y,z * (u * ((w / v5) * v6))) = L(x,y,z * (u * (((w \ 1) \ (v5 \ 1)) * v6))). L(x,y,z * (u * (((w \ 1) \ (v5 \ 1)) * v6))) = L(x,y,z * (u * ((w / v5) * v6))). L(x,y,z * (u * (((w \ 1) \ (v5 \ 1)) * v6))) != v7 | L(x,y,z * (u * ((v5 / w) \ v6))) = v7. L(x,y,z * (u * ((w / v5) \ v6))) = L(x,y,z * (u * ((v5 / w) * v6))). x != L(y,z,u * (w * (v5 * (v6 \ 1)))) | L(y,z,u * (w * (v5 / v6))) = x. L(x,y,z * (u * ((w / v5) / v6))) = L(x,y,z * (u * ((v5 / w) \ (v6 \ 1)))). L(x,y,z * (u * ((w / v5) \ (v6 \ 1)))) = L(x,y,z * (u * ((v5 / w) / v6))). L(x,y,z * (u * (w \ (v5 \ 1)))) != v6 | L(x,y,z * (u / (v5 * w))) = v6. L(x,y,z * (u / (w * (v5 / v6)))) = L(x,y,z * (u * ((v6 / v5) / w))). L(x,y \ (y \ (1 / y)),y \ (y \ (1 / y))) = T(x,y \ ((y * y) \ ((y * y) \ (y \ 1)))). L(x,y \ (y \ (1 / y)),y \ (y \ (1 / y))) = T(x,y \ (y \ (y \ (y \ (y \ (y \ 1)))))). L(x,y \ (z \ u),y \ (z \ u)) != w | L(x,(u \ z) * y,(u \ z) * y) = w. L(x,((1 / y) \ y) * y,((1 / y) \ y) * y) = T(x,y \ (y \ (y \ (y \ (y \ (y \ 1)))))). L(x,y * (y * y),((1 / y) \ y) * y) = T(x,y \ (y \ (y \ (y \ (y \ (y \ 1)))))). T(x,y \ (y \ (y \ (y \ (y \ (y \ 1)))))) = L(x,y * (y * y),((1 / y) \ y) * y). T(x,y \ (y \ (y \ (y \ (y \ (y \ 1)))))) = L(x,y * (y * y),y * (y * y)). x != L(y,z * (z * z),z * (z * z)) | L(y,z,z) = x. L(x,y,y) = T(x,y \ (y \ (y \ (y \ (y \ (y \ 1)))))). T(x,y \ (y \ (y \ (y \ (y \ (y \ 1)))))) = L(x,y,y). (x \ (x \ (x \ (x \ (x \ (x \ 1)))))) * L(y,x,x) = y * (1 / (x * (x * (x * (x * (x * x)))))). x * (L(x,y,z) * (a(u,L(x,y,z),L(x,y,z)) * w)) = L(L(x,y,z),L(x,y,z),u) * (x * w). (x \ (x \ (x \ (x \ (x \ (x \ 1)))))) * y != z | x \ (x \ (x \ (x \ ((x * x) \ y)))) = z. x \ (x \ (x \ (x \ ((x * x) \ L(y,x,x))))) = y * (1 / (x * (x * (x * (x * (x * x)))))). x \ (x \ (x \ (x \ (x \ (x \ y))))) = y * (1 / (x * (x * (x * (x * (x * x)))))). x * (1 / (y * (y * (y * (y * (y * y)))))) = y \ (y \ (y \ (y \ (y \ (y \ x))))). x * (y \ (y \ (y \ (y \ (y \ (y \ 1)))))) = y \ (y \ (y \ (y \ (y \ (y \ x))))). x * (y \ (y \ (y \ (y \ (y \ (y \ x)))))) = y \ (y \ (y \ (y \ ((y * y) \ (x * x))))). x \ (x \ (x \ (x \ ((x * x) \ (y * y))))) = y * (x \ (x \ (x \ (x \ (x \ (x \ y)))))). x \ (x \ (x \ (y * ((x * x) \ (y / x))))) = y * (x \ (x \ (x \ (x \ (x \ (x \ y)))))). x \ (x \ (y * (x \ (x \ (x \ (x \ y)))))) = y * (x \ (x \ (x \ (x \ (x \ (x \ y)))))). x * (L(x,y,z) * (a(u,x,x) * w)) = L(L(x,y,z),L(x,y,z),u) * (x * w). L(L(x,y,z),L(x,y,z),u) * (x * w) = x * (L(x,y,z) * (a(u,x,x) * w)). L(L(x,y,z),L(x,y,z),u) * (x * w) = x * (L(x,y,z) * (a(x,x,u) * w)). x != y * (z * (a(y,y,u) * w)) | L(y,y,u) * (z * w) = x. L(x,x,y) * (L(x,z,u) * w) = L(L(x,z,u),L(x,z,u),y) * (x * w). L(L(x,y,z),L(x,y,z),u) * (x * w) = L(x,x,u) * (L(x,y,z) * w). x != L(y,y,z) * (L(y,u,w) * v5) | y * (L(L(y,y,z),u,w) * v5) = x. x * (L(L(x,x,y),z,u) * w) = L(L(x,z,u),L(x,z,u),y) * (x * w). L(L(x,y,z),L(x,y,z),u) * (x * w) = x * (L(L(x,x,u),y,z) * w). L(L(x,y,z),u,L(x,y,z)) * (x * w) = x * (L(L(x,x,u),y,z) * w). L(L(x,x,y),z,u) * (x * w) = x * (L(L(x,x,y),z,u) * w). L(L(x,x,y),z,u) * (x * y) != w | (x * L(x,z,u)) * y = w. (x * L(x,y,z)) * u = x * (L(L(x,x,u),y,z) * u). x * (L(L(x,x,y),z,u) * y) = (x * L(x,z,u)) * y. x * ((1 / L(x,y,z)) \ u) = (x * L(x,y,z)) * u. x * y != z * ((1 / L(z,u,w)) \ v5) | ((z * L(z,u,w)) * v5) / y = x. ((x * L(x,y,z)) * u) / x = T((1 / L(x,y,z)) \ u,x). T((1 / L(x,y,z)) \ u,x) = ((x * L(x,y,z)) * u) / x. x != ((y * L(y,z,u)) * w) / y | L(y,z,u) * T(w,y) = x. L(x,y,z) * T(u,x) = T((1 / L(x,y,z)) \ u,x). T((1 / L(x,y,z)) \ u,x) = L(x,y,z) * T(u,x). x != L(y,z,u) * T(w,y) | ((y \ L(y,z,u)) * w) * y = x. ((x \ L(x,y,z)) * u) * x = T((1 / L(x,y,z)) \ u,x). T((1 / L(x,y,z)) \ u,x) = ((x \ L(x,y,z)) * u) * x. (1 / x) \ ((x \ L(x,y,z)) * u) = (1 / L(x,y,z)) \ u. (((x \ L(x,y,z)) * u) * x) * x = x * ((1 / L(x,y,z)) \ u). (1 / (x \ 1)) \ (((x \ 1) \ L(x \ 1,y,z)) * u) = (1 / (x \ a(x,z,y))) \ u. (1 / x) \ L(x,y,z) = (1 / L(x,y,z)) \ x. (1 / L(x,y,z)) \ x = (1 / x) \ L(x,y,z). (1 / L(x,y,z)) \ x != u | x / (L(x,y,z) \ 1) = u. x / (L(x,y,z) \ 1) = (1 / x) \ L(x,y,z). (x \ 1) * ((1 / x) \ L(x,x,y)) = L(x,x,x * y). (x \ 1) * T((1 / x) \ x,y) = L(x,x,x * y). (x \ 1) * T((1 / x) \ x,y) != z | x \ T((1 / x) \ x,y) = z. x \ T((1 / x) \ x,y) = L(x,x,x * y). T(x,y) \ T((1 / T(x,y)) \ T(x,y),K(y,z)) = L(T(x,y),T(x,y),y \ (x * T(y,z))). x != y * ((1 / L(y,z,u)) \ w) | (y * L(y,z,u)) * w = x. (x * L(x,y,z)) * u = (((x \ L(x,y,z)) * u) * x) * x. (((x \ L(x,y,z)) * u) * x) * x = (x * L(x,y,z)) * u. ((L(x,y,z) * (x \ u)) * x) * x = (x * L(x,y,z)) * u. (x * x) * (L(x,y,z) * (x \ u)) = (x * L(x,y,z)) * u. (x * x) * (L(x,y,z) * u) = (x * L(x,y,z)) * (x * u). (x * L(x,y,z)) * (x * u) = (x * x) * (L(x,y,z) * u). x \ (((x \ 1) \ L(x \ 1,y,z)) * u) = (1 / (x \ a(x,z,y))) \ u. x \ (a(x,y,z) * u) = (1 / (x \ a(x,y,z))) \ u. (1 / (x \ a(x,y,z))) \ u = x \ (a(x,y,z) * u). (a(x,y,z) \ x) \ u = x \ (a(x,y,z) * u). T(x,y) \ T((1 / x) \ x,K(y,z)) = L(T(x,y),T(x,y),y \ (x * T(y,z))). L(T(x,y),T(x,y),y \ (x * T(y,z))) = T(x,y) \ T((1 / x) \ x,K(y,z)). L(T(x,y),T(x,y),y \ (x * T(y,z))) = T(x,y) \ ((1 / x) \ x). x != T(y,z) \ ((1 / y) \ u) | y * ((T(y,z) \ 1) * u) = x. x * ((T(x,y) \ 1) * x) = L(T(x,y),T(x,y),y \ (x * T(y,z))). L(T(x,y),T(x,y),y \ (x * T(y,z))) = x * ((T(x,y) \ 1) * x). L(T(x,y),T(x,y),y \ (x * T(y,z))) = x * (T(x,y) * (1 / x)). L(T(x,y),T(x,y),y \ (x * T(y,z))) = x * K(x \ 1,x * y). L(x,(y \ 1) \ (z \ 1),((y \ 1) \ (z \ 1)) \ (((z \ 1) \ y) * (1 / y))) = L(x,(y \ 1) \ z,y \ 1). L(x,(y \ 1) \ (z \ 1),((y \ 1) \ (z \ 1)) \ (y * (((y \ z) \ 1) \ 1))) = L(x,(y \ 1) \ z,y \ 1). L(x,y,z \ (u * (w \ 1))) != v5 | L(x,y,z \ (u / w)) = v5. L(x,(y \ 1) \ (z \ 1),((y \ 1) \ (z \ 1)) \ (y / ((y \ z) \ 1))) = L(x,(y \ 1) \ z,y \ 1). L(x,(y \ 1) \ (z \ 1),((y \ 1) \ (z \ 1)) \ (y * (1 / (z \ y)))) = L(x,(y \ 1) \ z,y \ 1). L(x,(y \ 1) \ (z \ 1),((z / y) * y) * (y \ z)) = L(x,(y \ 1) \ z,y \ 1). L(x,(y \ 1) \ (z \ 1),z * (y \ z)) = L(x,(y \ 1) \ z,y \ 1). L(x,y * (z \ 1),z * (y \ z)) = L(x,(y \ 1) \ z,y \ 1). (x \ y) * (L(1 / (x \ y),1 / (x \ y),y) \ z) = T((1 / (x \ y)) * (1 / (x \ y)),((y / x) \ 1) * y) \ z. T((1 / (x \ y)) * (1 / (x \ y)),((y / x) \ 1) * y) \ z = (x \ y) * (L(1 / (x \ y),1 / (x \ y),y) \ z). T((1 / (x \ y)) * (1 / (x \ y)),((y / x) \ 1) * y) \ z = (x \ y) * (L(1 / (x \ y),y,1 / (x \ y)) \ z). T((1 / (x \ y)) * (1 / (x \ y)),((y / x) \ 1) * y) \ z = (x \ y) * (L(1 / (x \ y),y,1 * (y \ x)) \ z). T((1 / (x \ y)) * (1 / (x \ y)),((y / x) \ 1) * y) \ z = (x \ y) * (L(1 / (x \ y),y,y \ x) \ z). T((1 / (x \ y)) * (1 / (x \ y)),((y / x) \ 1) * y) \ z = (x \ y) * ((1 / L(x \ y,y,x \ y)) \ z). T((1 / (x \ y)) * (1 / (x \ y)),((y / x) \ 1) * y) \ z = (x \ y) * ((1 / ((y \ x) \ 1)) \ z). T((1 / (x \ y)) * (1 / (x \ y)),((y / x) \ 1) * y) \ z = (x \ y) * ((y \ x) \ z). T((x \ y) * (x \ y),((x / y) \ 1) * x) \ z = (y \ x) * ((x \ y) \ z). T((x \ y) * (x \ y),x * (1 / (y \ x))) \ z = (y \ x) * ((x \ y) \ z). T((x \ y) * (x \ y),x * (1 * (x \ y))) \ z = (y \ x) * ((x \ y) \ z). T((x \ y) * (x \ y),x * (x \ y)) \ z = (y \ x) * ((x \ y) \ z). T((x \ y) * (x \ y),y) \ z = (y \ x) * ((x \ y) \ z). ((x / (x \ y)) \ y) \ z = (y \ x) * ((x \ y) \ z). (x \ y) \ z = (y \ x) \ (((y / (y \ x)) \ x) * z). (x \ y) \ (((x / (x \ y)) \ y) * z) = (y \ x) \ z. ((x / (x \ y)) \ y) \ (z * (y / (x / (x \ y)))) = (x \ y) \ ((y \ x) \ z). ((x / (x \ y)) \ y) \ (z * ((x \ y) * (x \ y))) = (x \ y) \ ((y \ x) \ z). ((x / (x \ y)) \ y) \ z != u | (y \ x) * ((x \ y) \ z) = u. (x \ y) * ((y \ x) \ (z * ((y \ x) * (y \ x)))) = (y \ x) \ ((x \ y) \ z). (x \ y) * ((y \ x) * z) = (y \ x) \ ((x \ y) \ z). (x \ y) \ ((y \ x) \ z) = (y \ x) * ((x \ y) * z). (x \ y) \ ((y \ x) \ T(z,y \ x)) = (y \ x) * (z / ((x \ y) \ 1)). (x \ y) \ (z * ((y \ x) \ 1)) = (y \ x) * (z / ((x \ y) \ 1)). ((x / y) / (y * (x / y))) \ (((T(y \ x,(y \ x) \ (y * (x / y))) / (y * (x / y))) * z) * u) = ((y * (x / y)) \ (y \ x)) \ ((((y * (x / y)) \ (y \ x)) * z) * u). ((x / y) \ ((x / y) / y)) \ (((T(y \ x,(y \ x) \ (y * (x / y))) / (y * (x / y))) * z) * u) = ((y * (x / y)) \ (y \ x)) \ ((((y * (x / y)) \ (y \ x)) * z) * u). ((x / y) \ ((y * y) \ x)) \ (((T(y \ x,(y \ x) \ (y * (x / y))) / (y * (x / y))) * z) * u) = ((y * (x / y)) \ (y \ x)) \ ((((y * (x / y)) \ (y \ x)) * z) * u). (L(x,x,y) \ 1) \ (((T(x \ y,(x \ y) \ (x * (y / x))) / (x * (y / x))) * z) * u) = ((x * (y / x)) \ (x \ y)) \ ((((x * (y / x)) \ (x \ y)) * z) * u). (L(x,x,y) \ 1) \ (((T(x \ y,x) / (x * (y / x))) * z) * u) = ((x * (y / x)) \ (x \ y)) \ ((((x * (y / x)) \ (x \ y)) * z) * u). ((x * (y / x)) \ (x \ y)) \ ((((x * (y / x)) \ (x \ y)) * z) * u) = (L(x,x,y) \ 1) \ (((T(x \ y,x) / (x * (y / x))) * z) * u). ((x * (y / x)) \ (x \ y)) \ ((((x * (y / x)) \ (x \ y)) * z) * u) = (L(x,x,y) \ 1) \ ((((y / x) / (x * (y / x))) * z) * u). ((x * (y / x)) \ (x \ y)) \ ((((x * (y / x)) \ (x \ y)) * z) * u) = (L(x,x,y) \ 1) \ ((((y / x) \ ((y / x) / x)) * z) * u). ((x * (y / x)) \ (x \ y)) \ ((((x * (y / x)) \ (x \ y)) * z) * u) = (L(x,x,y) \ 1) \ ((((y / x) \ ((x * x) \ y)) * z) * u). ((x * (y / x)) \ (x \ y)) \ ((((x * (y / x)) \ (x \ y)) * z) * u) = (L(x,x,y) \ 1) \ (((L(x,x,y) \ 1) * z) * u). (x * (y * L(z,z,u))) / L(z,z,u) = ((z * (u / z)) \ (z \ u)) \ ((((z * (u / z)) \ (z \ u)) * x) * y). ((x * (y / x)) \ (x \ y)) \ ((((x * (y / x)) \ (x \ y)) * z) * u) = (z * (u * L(x,x,y))) / L(x,x,y). x != (y * (z * L(u,u,w))) / L(u,u,w) | (y * (z * u)) / u = x. (x * (y * z)) / z = ((z * (u / z)) \ (z \ u)) \ ((((z * (u / z)) \ (z \ u)) * x) * y). ((x * (y / x)) \ (x \ y)) \ ((((x * (y / x)) \ (x \ y)) * z) * u) = (z * (u * x)) / x. (x \ (x / y)) \ ((((y * (x / y)) \ (y \ x)) * z) * u) = (z * (u * y)) / y. (x \ (x / y)) \ (((x \ (x / y)) * z) * u) = (z * (u * y)) / y. (x \ y) \ (((x \ (x / (y \ x))) * z) * u) = (z * (u * (y \ x))) / (y \ x). (x \ (x * (x / y))) \ (((x \ (x / (y / x))) * z) * u) = (z * (u * (y / x))) / (y / x). (x \ y) \ (((x \ y) * z) * u) = (z * (u * (y \ x))) / (y \ x). (x * (y * (z \ u))) / (z \ u) = (u \ z) \ (((u \ z) * x) * y). x != y \ ((y * z) * L(u,y,y)) | (z * (u / y)) / (1 / y) = x. (x * (y / (z \ u))) / (1 / (z \ u)) = (x * (L(y,z \ u,z \ u) * (u \ z))) / (u \ z). (x * (L(y,z \ u,z \ u) * (u \ z))) / (u \ z) = (x * (y / (z \ u))) / (1 / (z \ u)). x \ y != (z * (u * u)) / u | x * (z / (u \ 1)) = y. (x \ y) * (z / ((y \ x) \ 1)) = ((x \ y) * z) * (y \ x). L(x,(y \ z) * ((y \ z) \ (((y \ z) * u) * w)),v5) = L(x,((1 / (z \ y)) * u) * w,v5). (x \ y) * (z / ((y \ x) \ 1)) != u | (y \ x) \ (z * ((x \ y) \ 1)) = u. (x \ y) \ (z * ((y \ x) \ 1)) = ((y \ x) * z) * (x \ y). (x \ y) * (z / ((y \ x) \ 1)) != u | (x \ y) \ (z / (y \ x)) = u. (x \ y) \ (z / (y \ x)) = ((x \ y) * z) * (y \ x). (((x \ y) * z) * (y \ x)) / (x \ y) = ((y \ x) \ 1) \ z. K(x,y \ z) * (((y \ z) * x) * (z \ y)) = (z \ y) \ ((y \ z) \ x). (x * (y \ z)) / (z \ y) != u | ((z \ y) \ 1) * ((y \ z) * x) = u. ((x \ y) \ 1) * ((y \ x) * ((x \ y) * z)) = ((y \ x) \ 1) \ z. (x * (y \ z)) * (z \ y) = (z \ y) \ ((y \ z) \ x). (x \ y) \ ((y \ x) \ z) = (z * (y \ x)) * (x \ y). (x \ y) \ ((y \ x) \ z) != u | (y \ x) * ((x \ y) * z) = u. (x \ y) * ((y \ x) * z) = (z * (x \ y)) * (y \ x). (x * (y \ z)) * (z \ y) = (y \ z) * ((z \ y) * x). (x / y) \ (((x \ (x / (y / x))) * z) * u) = (z * (u * (y / x))) / (y / x). (x / y) \ (((x \ (x * (x / y))) * z) * u) = (z * (u * (y / x))) / (y / x). (x / y) \ (((x / y) * z) * u) = (z * (u * (y / x))) / (y / x). (x * (y * (z / u))) / (z / u) = (u / z) \ (((u / z) * x) * y). L(x,((y \ z) * u) * w,v5) = L(x,((1 / (z \ y)) * u) * w,v5). L(x,((1 / (y \ z)) * u) * w,v5) = L(x,((z \ y) * u) * w,v5). L(x,((y \ z) \ u) * w,v5) = L(x,((z \ y) * u) * w,v5). L(x,y * z,u) = L(x,((w \ v5) * ((v5 \ w) * y)) * z,u). L(x,((y \ z) * ((z \ y) * u)) * w,v5) = L(x,u * w,v5). L(x,((y \ z) \ K(u,z \ y)) * w,v5) = L(x,T(z \ y,u) * w,v5). L(x,((y / z) * u) * w,v5) = L(x,((z / y) \ u) * w,v5). L(x,((y / z) \ u) * w,v5) = L(x,((z / y) * u) * w,v5). L(x,((y / z) \ K(u,z / y)) * w,v5) = L(x,T(z / y,u) * w,v5). L(x,T((y \ z) \ 1,u) * w,v5) = L(x,T(z \ y,u) * w,v5). L(x,T(y \ 1,z) * u,w) != v5 | L(x,T(y,z) \ u,w) = v5. L(x,T(y \ z,u) \ w,v5) = L(x,T(z \ y,u) * w,v5). L(x,T((y / z) \ 1,u) * w,v5) = L(x,T(z / y,u) * w,v5). L(x,T(y / z,u) \ w,v5) = L(x,T(z / y,u) * w,v5). (x * (y / ((z \ u) \ 1))) / (z \ u) = (x * (y / (u \ z))) / (1 / (u \ z)). (x * (y / (z \ 1))) / z != u | z * ((z \ x) * y) = u. (x \ y) * (((x \ y) \ z) * u) = (z * (u / (y \ x))) / (1 / (y \ x)). (x * (y / (z \ u))) / (1 / (z \ u)) = (u \ z) * (((u \ z) \ x) * y). (x \ y) * (((x \ y) * (((x \ y) \ z) * u)) / (x \ y)) = (y \ x) * (z * (u / (y \ x))). (((x \ y) \ z) * u) * (x \ y) = (y \ x) * (z * (u / (y \ x))). ((x \ y) * (z * (u / (x \ y)))) * (x \ y) = (y \ x) * ((x \ y) * (((y \ x) \ z) * u)). ((x \ y) \ 1) * ((y \ x) * ((x \ y) * (((y \ x) \ z) * u))) = (x \ y) * (((x \ y) * (z * (u / (x \ y)))) / (x \ y)). ((x \ y) \ 1) * ((y \ x) * ((x \ y) * z)) != u | ((y \ x) \ 1) \ z = u. ((x \ y) \ 1) \ (((x \ y) \ z) * u) = (y \ x) * (((y \ x) * (z * (u / (y \ x)))) / (y \ x)). (x \ y) * (((x \ y) * (z * (u / (x \ y)))) / (x \ y)) = ((y \ x) \ 1) \ (((y \ x) \ z) * u). (x * (y / (z \ u))) * (z \ u) = ((u \ z) \ 1) \ (((u \ z) \ x) * y). ((x \ y) \ 1) \ (((x \ y) \ z) * u) = (z * (u / (y \ x))) * (y \ x). ((x \ y) \ 1) \ (((x \ y) \ z) * y) != u | (z * ((x / y) \ y)) * ((x \ y) \ 1) = u. (x * ((y / z) \ z)) * ((y \ z) \ 1) = (x * (z / (z \ y))) * (z \ y). R(x,(y / z) \ z,((y / z) \ z) \ z) = ((x * (z / (z \ y))) * (z \ y)) / z. x != ((y * (z / u)) * u) / z | R(y,u \ z,u) = x. R(x,(y \ z) \ y,y \ z) = R(x,(z / y) \ y,((z / y) \ y) \ y). R(x,(y / z) \ z,((y / z) \ z) \ z) = R(x,(z \ y) \ z,z \ y). R(x,(y / z) \ z,((y / z) \ z) \ z) = R(x,(y \ z) * z,z \ y). x != R(y,(z \ u) * u,w) | R(y,u * (u / z),w) = x. R(x,y * (y / z),y \ z) = R(x,(z / y) \ y,((z / y) \ y) \ y). R(x,(y / z) \ z,((y / z) \ z) \ z) = R(x,z * (z / y),z \ y). R(x,(y / z) \ z,(y \ z) \ 1) = R(x,z * (z / y),z \ y). R(x \ y,z,u) = (R(y / x,z,u) \ y) \ y. (R(x / y,z,u) \ x) \ x = R(y \ x,z,u). K(x,R(y \ x,z,u) \ w) = K(x,R(x / y,z,u) \ w). K(x,R(x / y,z,u) \ w) = K(x,R(y \ x,z,u) \ w). R(K(x,R(y \ x,z,u) \ x),w,v5) = K(x,R(R(x / y,z,u),w,v5) \ x). R(R(K(x,y),z,u),w,v5) = K(x,R(R(x / y,z,u),w,v5) \ x). K(x,R(R(x / y,z,u),w,v5) \ x) = R(R(K(x,y),z,u),w,v5). K(x,R(R(x / y,y,L(K(z,x),u,w)),v5,v6) \ x) != v7 | K(R(x,v5,v6),y) = v7. K(R(x,y,z),u) = R(R(K(x,u),u,L(K(w,x),v5,v6)),y,z). R(R(K(x,y),y,L(K(z,x),u,w)),v5,v6) = K(R(x,v5,v6),y). R(K(x,y),z,u) = K(R(x,z,u),y). R(K(x,y),z,u) \ 1 = K(y,R(x,z,u)). R(K(x,y),z,u) = K(x,R(y,z,u)). K(x,R(y,z,u)) * 1 = R(K(x,y),z,u). R(K(x,y),z,u) != w | K(R(x,z,u),y) = w. K(R(x,y,z),u) = K(x,R(u,y,z)). R(K(x / (y / z),u),x,z) != w | K((x * z) / y,u) = w. K((x * y) / z,u) = K(x / (z / y),R(u,x,y)). K(x / (y / z),R(u,x,z)) = K((x * z) / y,u). K(x,y \ R(y,z,u)) = K(x,R(y \ R(y,z,u),y,w)). K(x,R(y \ R(y,z,u),y,w)) = K(x,y \ R(y,z,u)). R(K(x,y),z,u) != w | w = K(x,R(y,z,u)). R(K(x,y),z,u) != w | K(x,R(y,z,u)) = w. K(x / (1 / y),z) != u | K(x * y,z) = u. K(x * y,R(z,x,y)) = K((x * y) / 1,z). K(x * y,R(z,x,y)) = K(x * y,z). ((x * y) * z) * K(y * z,x) = (y * z) * R(x,y,z). K(x,a(y,z,u)) = K(x,y \ R(y,z,u)). K(x,y \ R(y,z,u)) = K(x,a(y,z,u)). ((x * y) * z) * K(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). K(x,y) * R(K(y,x),z,u) = a(K(y,x),z,u). ((x * y) * z) * a(z,x,y) != (x * y) * u | R(z,x,y) = u. K(x,y) * a(K(x,y),z,u) = R(K(x,y),z,u). K(x,y) * K(y,R(x,z,u)) = a(K(y,x),z * x,u). K(x,y) * K(y,R(x,z,u)) = a(K(y,x),z,u). K(x,y) * K(y,R(x,z,u)) != w | K(y * x,y * R(x,z,u)) = w. K(x * y,x * R(y,z,u)) = a(K(x,y),z * y,u). 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,(x / y) * R(y,z,u)) = a(K(x / y,y),z * y,u). K(x,(x / y) * z) != u | K(x,x * (y \ z)) = u. K(x,x * (y \ R(y,z,u))) = a(K(x / y,y),z * y,u). K(x,x * (y \ R(y,z,u))) = a(K(y \ x,y),z * y,u). x != a(K(y \ z,y),u,w) | a(K(z,y),u,w) = x. a(K(x,y),z * y,u) = K(x,x * (y \ R(y,z,u))). K(x,x * (y \ R(y,z,u))) = a(K(x,y),z * y,u). (x * K(y \ R(y,z,u),x)) \ L(x,y \ R(y,z,u),x) = a(K(x,y),z * y,u). (x * K(y \ R(y,z,u),x)) \ L(x,a(y,z,u),x) = a(K(x,y),z * y,u). K(x,y \ R(y,z,u)) * (x \ L(x,a(y,z,u),x)) = a(K(x,y),z * y,u). x * (y \ L(y,a(z,u,w),y)) != v5 | x = v5. 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)). x != K(y,z \ R(z,u,w)) | K(y,a(z,u,w)) = x. 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)). x != K(y,a(z,u,w)) | K(y,y * a(z,u,w)) = x. 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). a(x,y,K(z,u)) = a(K(z,x),y,u). a(K(x,y),z,u) = a(y,z,K(x,u)). x != a(y,z,K(u,w)) | K(a(y,z,u),w) = x. K(a(x,y,z),u) = a(K(z,x),y,u). a(K(x,y),z,u) = K(a(y,z,x),u). a(K(x,y),z,u) = a(x,z,K(y,u)). ((K(x,y) * z) * u) / a(y,z,K(x,u)) = K(x,y) * (z * u). K(x,y) * L(K(x,y) \ 1,z,u) = a(x,u,K(y,z)). a(K(x,y),z,u) != w | a(y,z,K(x,u)) = w. a(x,y,K(z,u)) = a(z,y,K(x,u)). a(x,y,K(z,u)) = a(u,y,K(x,z)). a(x,y,K(z,u \ 1)) = a(u,y,K(x,z * u)). x * a(y,z,K(u,x)) = T(x,a(u,z,y)). x != a(y \ 1,z,u) | a(1 / y,z,u) = x. a(1 / x,y,K(z,u)) = a(z,y,K(u,x \ 1)). 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)). a(x,y,K(z,u)) != w | a(K(z,x),y,u) = w. a(K(x,y),z,u) = a(u,z,K(y,x)). 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 * T(y,a(w,z,u)). x != K(y,a(z,u,w)) | K(y,L(w,u,z) \ w) = x. K(x,L(y,z,u) \ y) = a(x,z,K(y,u)). K(x,y) * a(K(x,y),z,u) = L(K(x,y),z,u). T(T(x,a(y,z,u)),y) = T(x,L(y,z,u)). x * a(x,y,K(z,u)) = T(x,a(u,z \ y,z)). T(x,a(y,z \ u,z)) = x * a(x,u,K(z,y)). L(x,y,z) * a(u,y,K(x,z)) = T(L(x,y,z) \ x,u) \ x. T(L(x,y,z) \ x,u) \ x = L(x,y,z) * a(u,y,K(x,z)). T(T(x,y),a(y,z,u)) = T(x,L(y,z,u)). T(T(x,y),a(y,z,u)) = T(x,L(y,z / u,u)). x != a(y,z,K(u,w \ 1)) | a(y,z,K(u,w)) = x. a(x,y,K(z,u)) = a(1 / u,y,K(x,z)). a(1 / x,y,K(z,u)) = a(z,y,K(u,x)). a(1 / x,y,K(z,u)) = a(z,y,K(x,u)). a(1 / x,y,z) != u | a(x \ 1,y,z) = u. a(x \ 1,y,K(z,u)) = a(z,y,K(x,u)). L(x,y,z) * a(y,z,K(x,u)) = x * T(a(1 / x,z,y),u). a(x,y,K(z,u)) * (z \ L(z,u,y)) = T(a(z \ 1,y,u),x). K(x,y) * a(K(x,y),z,u) != w | R(K(x,y),z,u) = w. R(K(x,y),z,u) = L(K(x,y),z,u). K(x,L(y,z,u)) = R(K(x,y),z,u). R(K(x,y),z,u) = K(x,L(y,z,u)). L(K(x,y),z,u) \ (u * (K(x,y) * z)) = z * T(u,K(x,y) * z). K(x,R(y,z,u)) = K(x,L(y,z,u)). x != K(a(y,z,u),w) | a(y,z,K(u,w)) = x. a(x,y,K(z,L(u,w,v5))) = R(K(a(x,y,z),u),w,v5). K(R(x,y,z),u) = K(x,L(u,y,z)). K(x,L(y,z,u)) * (z * u) = (K(x,y) * z) * u. R(a(x,y,K(z,u)),w,v5) = K(x,L(a(u,y,z),w,v5)). K(x,y / (z * u)) = K(x,L((y / u) / z,z,u)). K(x,L((y / z) / u,u,z)) = K(x,y / (u * z)). K(x,K(y,L(z,u,w))) * y = T(y,K(x,R(z,u,w))). x != K(y,L(z,u,w)) | K(L(y,u,w),z) = x. K(L(x,y,z),u) = K(R(x,y,z),u). K(R(x,y,z),u) = K(L(x,y,z),u). x != K(y,z) | z / T(z,y) = x. x / T(x,L(y,z,u)) = K(R(y,z,u),x). K((x * y) / (z * y),u) = K(L(x / z,z,y),u). K(L(x / y,y,z),u) = K((x * z) / (y * z),u). T(x,R(y,z,u)) = K(L(y,z,u),x) \ x. K(L(x,y,z),u) \ u = T(u,R(x,y,z)). T(x,R(y,z,u)) = T(x,L(y,z,u)). x * y != T(z,R(u,w,v5)) | x \ T(z,L(u,w,v5)) = y. R(x,y,z) \ T(u,L(x,y,z)) = u * (R(x,y,z) \ 1). T(x,T((y * z) * u,L(y,z,u))) = T(x,(z * u) * R(y,z,u)). T(x,y * T((z * u) * w,L(z,u,w))) = T(x,y * ((T(z,u * w) * u) * w)). T(x,R(y,z,u)) != w | T(x,L(y,z,u)) = w. x != y * a(y,z,K(u,w)) | T(y,a(w,z,u)) = x. T(x,a(y,z,u)) = T(x,a(y,u \ z,u)). T(x,a(y,z \ u,z)) = T(x,a(y,u,z)). T(T(x,y),a(y,z,u)) != w | T(x,L(y,z,u)) = w. T(x,L(y,z,u)) = T(x,L(y,z / u,u)). T(x,L(y,z / u,u)) = T(x,L(y,z,u)). T(x,L(y,z \ u,z)) = T(x,L(y,u,z)). T(x,L(y,z,u)) = T(x,L(y,u * z,u)). T(x,L(y,z * u,z)) = T(x,L(y,u,z)). T(x,a(y,z \ u,z)) != w | T(x,a(y,u,z)) = w. x * y != K(z,L(u,w,x)) * (w * x) | T(K(z,u) * w,x) = y. T(K(x,T(y,z * u)) * z,u) = T(z,u) * K(x,y). K(x,L(y \ (y \ (z / u)),y * y,u)) = K(x,z / ((y * y) * u)). K(x,L((y / z) / (u / (w / v5)),u * (v5 / w),z)) = K(x,y / ((u / (w / v5)) * z)). K(x,L((y / z) / ((u * w) \ 1),w \ (u \ 1),z)) = K(x,y / (((u * w) \ 1) * z)). K(L((x \ y) / z,z,x),u) != w | K((x * z) \ y,T(u,z)) = w. K((x * y) \ z,T(u,y)) = K(((x \ z) * x) / (y * x),u). K(x,y) * L(K(x,y),z,u) = a(x,u,K(y,z)). K(x,y) * K(x,L(y,z,u)) = a(x,u,K(y,z)). K(x,y) * a(x,z,K(y,u)) = K(x,L(y,u,z)). K(x,L(y,z,u)) * K(x,y) = a(x,u,K(y,z)). a(x,y,K(z,u)) * L(z,u,y) = K(x,z) * T(L(z,u,y),x). K(x,y) * T(L(y,z,u),x) = a(x,u,K(y,z)) * L(y,z,u). K(x,y) * a(x,z,K(y,u)) != w | K(x,L(y,u,z)) = w. K(x,y) * z != K(x,L(y,u,w)) | a(w,u,K(y,x)) = z. a(x,y,K(z,u)) = a(u,x,K(z,y)). K(x,y) * a(x,z,K(u,y)) = K(x,L(y,u,z)). K(x,y) * K(x,L(y,z,u)) != w | a(x,u,K(y,z)) = w. x != a(y,z,K(u,w)) | a(u,z,K(w,y)) = x. a(x,y,K(z,u)) = a(y,z,K(x,u)). a(x,y,K(z,u)) = a(z,x,K(y,u)). x != a(y,z,K(u,w)) | a(y,z,K(u,u \ w)) = x. a(x,y,K(z,z \ u)) = a(y,u,K(z,x)). x * y != a(z,u,K(w,v5)) | x \ a(u,v5,K(w,z)) = y. x \ a(y,z,K(u,x)) = L(x \ 1,K(u,z),y). L(x \ 1,K(y,z),u) = x \ a(u,z,K(y,x)). a(x,y,K(z,u)) != w | a(u,y,K(x,z)) = w. a(x,y,K(z,u)) = a(x,z,K(u,y)). a(x,y,K(z,u)) = a(x,u,K(y,z)). a(x,y,K(z,u)) = a(u,x,K(y,z)). a(x,y \ (y / z),K(u,w)) = a(w,x,K(u,z \ 1)). a(x,y,K(z,R(u,w,v5))) = a(L(u,w,v5),x,K(z,y)). a(L(x,y,z),u,K(w,v5)) = a(u,v5,K(w,R(x,y,z))). a(x,L((y / z) / u,u,z),K(w,v5)) = a(v5,x,K(w,y / (u * z))). a(1 / x,y,K(z,u)) != w | a(z,y,K(u,x)) = w. a(x,y,K(z,u)) = a(x,1 / u,K(y,z)). a(x,1 / y,K(z,u)) = a(x,z,K(u,y)). a(x,y,K(z,u)) * a(y,z,x) = T(a(y,z,x),u). x != a(y,z \ u,K(z,w)) | a(y,u,K(z,w)) = x. a(x,y,K(z,u)) = a(x,z,K(u,z \ y)). a(x,y,K(z,y \ u)) = a(x,u,K(y,z)). x != a(y,z,K(u,w)) | a(y,z,K(u,w \ 1)) = x. a(x,y,K(z,u \ 1)) = a(y,z,K(u,x)). x != a(y,z,K(u,w)) | a(y,z * w,K(u,w)) = x. a(x,y * z,K(u,z)) = a(y,u,K(z,x)). a(x,L(y,z,u),K(w,v5)) = a(v5,x,K(y,L(w,z,u))). a(x,y,K(z,y \ u)) = a(x,u,K(z,y)). a(x,y,K(z,u \ 1)) != w | a(u,y,K(x,z * u)) = w. a(x,y,K(z,u * x)) = a(y,u,K(x,z)). a(x,y,K(z,u)) != w | a(z,y,K(u,x)) = w. a(x,y * z,K(z,u)) = a(y,x,K(z,u)). a(x,y,K(z,u)) != w | a(y,z,K(x,u)) = w. a(x,y,K(z,u * z)) = a(x,u,K(z,y)). a(x,y,K(z,u)) != w | a(z,x,K(y,u)) = w. a(x,y,K(z,u * y)) = a(z,u,K(y,x)). a(x / y,z,K(u,T(x,y))) = a(z,y,K(x / y,u)). a((1 / x) / y,z,K(u,y \ 1)) = a(z,x,K((1 / x) / y,u)). a(x,y,K(z,u)) = a(y / z,x,K(z,u)). a(x / y,z,K(y,u)) = a(z,x,K(y,u)). a(x,y,K(z,z * u)) = a(x,u,K(z,y)). a(x,y,K(z,u * y)) = a(z,u,K(x,y)). a(x,y,K(z,u)) != w | a(u,x,K(z,y)) = w. a(x * y,z,K(x,u)) = a(z,y,K(x,u)). a(x,y,K(z,u * y)) != w | a(x,y,K(z,y * u)) = w. a(x,y,K(z,y * u)) = a(z,u,K(x,y)). K(x,y) * a(x,z,K(y,u)) = K(x,L(y,z,u)). K(x,L(y,z,u)) = K(x,L(y,u,z)). K(x,L(y,z,u)) * (u * z) = (K(x,y) * u) * z. ((K(x,y) * z) * u) \ (K(x,L(y,u,z)) * (z * (u * y))) = L(y,u,z). K(x,L(y,z,u)) * (u * (z * y)) = (K(y,x) * u) * (z * y). R(x,y,K(z,u)) = T(x,a(u,y,z)). a(x,y,K(z,L(u,w,v5))) = R(a(x,y,K(z,u)),w,v5). T(K(x,y) * z,u) = T(z,u) * K(x,T(y,z * u)). T(x,y) * K(z,T(u,x * y)) = T(K(z,u) * x,y). a(x,y,K(z,u)) = a(y,w \ (w / u),K(z,x)). a(x,y \ (y / z),K(u,w)) = a(w,x,K(u,z)). a(x,y \ (y / z),K(u,w)) = a(w,x,K(z,u)). a(L(x,y,z),u,K(w,v5)) = a(u,v5,K(w,L(x,y,z))). a((x * x) / y,z,a(x,x,u)) = a(z,y,K((x * x) / y,u)). x != R(a(y,z,K(u,w)),v5,v6) | K(y,L(a(w,z,u),v5,v6)) = x. K(x,L(a(y,z,u),w,v5)) = a(x,z,K(u,L(y,w,v5))). a(x,y,K(z,L(u,w,v5))) = K(x,L(a(u,y,z),w,v5)). a(L(x,y,z),u,K(w,v5)) = a(u,w,K(v5,L(x,y,z))). x != K(y,L(z,y,u)) | K(y,z) = x. K(x,a(y,z,u)) = a(x,z,K(u,L(y,x,w))). a(x,y,K(z,L(u,x,w))) = K(x,a(u,y,z)). x != K(y,a(z,u,w)) | a(y,u,K(w,z)) = x. a(x,y,K(z,u)) = a(x,y,K(z,L(u,x,w))). a(x,y,K(z,L(u,x,w))) = a(x,y,K(z,u)). K(x,L(y,z,u)) != w | K(x,L(y,u,z)) = w. K(x,L(y,z,u)) * K(x,y) != w | a(x,u,K(y,z)) = w. K(x,T((y * z) \ u,z)) = K(((y \ u) * y) / (z * y),x). K(((x \ y) * x) / (z * x),u) = K(u,T((x * z) \ y,z)). K(x,((y \ z) * y) / (u * y)) = K(x,T((y * u) \ z,u)). K(x,T((y * z) \ u,z)) = K(x,((y \ u) * y) / (z * y)). K(x,T((y * z) \ u,z)) = K(x,(y * (u / y)) / (z * y)). K(x,T((y * ((y * z) \ y)) \ u,(y * z) \ y)) = K(x,(y * (u / y)) / (z \ y)). K(x,T(((y \ 1) / z) \ u,y \ (y / z))) = K(x,((y \ 1) * (u / (y \ 1))) / ((y \ (y / z)) * (y \ 1))). ((K(x,y) * z) * u) * a(y,z,K(u,x)) = K(x,y) * (z * u). L(x,y,z) * a(y,z,K(x,u)) = x * T(a(x \ 1,z,y),u). a(x,y,a(z,z,u)) != w | 1 = w. 1 = a(x,y,K((z * z) / y,u)). a(x,y,K((z * z) / y,u)) = 1. (K(x,y) * z) * T(u,a(y,z,x)) = K(x,y) * (z * u). L(x,y,K(z,u)) = T(x,a(u,y,z)). x != T(y,a(z,u,w)) | R(y,u,K(w,z)) = x. R(x,y,K(z,u)) = L(x,y,K(z,u)). x != T(y,a(z,u,w)) | y * a(w,u,K(z,y)) = x. x * a(y,z,K(u,x)) = L(x,z,K(y,u)). x != T(y,a(z,u,w)) | y * a(z,u,K(y,w)) = x. x * a(y,z,K(x,u)) = L(x,z,K(u,y)). x != T(y,a(z,u \ w,u)) | T(y,a(z,w,u)) = x. T(x,a(y,z,u)) = L(x,u \ z,K(u,y)). L(x,y \ z,K(y,u)) = T(x,a(u,z,y)). x != T(T(y,z),a(z,u,w)) | T(y,L(z,u,w)) = x. T(x,L(y,z,u)) = L(T(x,y),z,K(u,y)). L(T(x,y),z,K(u,y)) = T(x,L(y,z,u)). L(x,y \ z,K(y,u)) != w | T(x,a(u,z,y)) = w. R(x,y * y,K(z,u)) != w | ((x * (y * y)) * K(z,u)) / (y * (y * K(z,u))) = w. ((x * (y * y)) * K(z,u)) / (y * (y * K(z,u))) = L(x,y * y,K(z,u)). L(x,y,K(z,u)) * (y * K(z,u)) = (x * y) * K(z,u). x * a(x,y,K(z,u)) = L(x,u,K(y,z)). x * a(y,z,K(x,u)) = L(x,u,K(y,z)). x != T(y,a(z,u,w)) | L(y,u,K(w,z)) = x. L(x,y,K(z,u)) = L(x,z \ y,K(z,u)). L(x,y \ z,K(y,u)) = L(x,z,K(y,u)). L(T(x,y),z,K(y,u)) = T(x,L(y,z,u)). T(x,a(y,z,u)) = L(x,u,K(y,z)). L(x,y,K(z,u)) = T(x,a(z,u,y)). x * a(y,z,K(x,u)) != w | L(x,z,K(u,y)) = w. L(x,y,K(z,u)) = L(x,z,K(u,y)). L(x,y,K(z,u)) = L(x,u,K(y,z)). x * a(y,z,K(u,x)) = L(x,y,K(z,u)). x != T(y,a((z \ u) \ 1,w,v5)) | T(y,L(z \ u,v5,w) * (u \ z)) = x. T(x,L(y \ z,u,w) * (z \ y)) = L(x,u,K((y \ z) \ 1,w)). T(x,L(y,z,u)) = L(T(x,y),u,K(y,z)). L(T(x,y),z,K(y,u)) = T(x,L(y,u,z)). x != T(y,a(z,u,w \ (w \ 1))) | y = x. x = L(x,y \ (y \ 1),K(z,u)). L(x,y \ (y \ 1),K(z,u)) = x. x != T(y \ z,y) | z / y = x. x / a(y,z,u) = L(a(y,z,u) \ x,u,K(y,z)). L(a(x,y,z) \ u,z,K(x,y)) = u / a(x,y,z). x / (a(y,z,u) \ 1) = L(a(y,z,u) * x,u,K(y,z)). L(a(x,y,z) * u,z,K(x,y)) = u / (a(x,y,z) \ 1). x * y != T(z,a(u,w,v5)) | x \ L(z,v5,K(u,w)) = y. a(x,y,z) \ L(u,z,K(x,y)) = u * (a(x,y,z) \ 1). L(x / a(y,z,u),u,K(y,z)) != w | a(y,z,u) \ x = w. K(x,a(y,z,u)) * (x / w) = L(x,u,K(y,z)) / w. T(x \ 1,a(y,z,u)) = L(x,u,K(y,z)) \ 1. x * (L(x,y,K(z,u)) \ w) = a(z,u,K(x,y)) * w. L(x,y \ (y \ 1),K(z,u)) != w | x = w. x \ y != L(z,u,K(w,v5)) | x * L(z,w,K(v5,u)) = y. x * L(y,z,K(u,w)) = x * L(y,w,K(z,u)). L(T(x,y),z,K(u,y)) != w | T(x,L(y,z,u)) = w. T(x,L(y,z,u)) = L(T(x,y),y,K(z,u)). L(T(x,y),y,K(z,u)) = T(x,L(y,z,u)). L(x,y,K(z,u)) = L(x,z,K(y,u)). L(x,y,K(z,u)) = L(x,z * y,K(z,u)). L(x,y * z,K(y,u)) = L(x,z,K(y,u)). x * a(1 / x,y,K(z,u)) = L(x,z,K(y,u)). L(T(x,y),z,K(y,u)) != w | T(x,L(y,z,u)) = w. T(x,L(y,z,u)) = T(x,L(y,u,z)). L(T(x,y),y,K(z,u \ 1)) = T(x,L(y,z,1 / u)). L(x / y,y,K(z,u)) = T(y \ x,L(y,z,u)). L(L(x,y,y),y * y,K(z,u)) = T(x,L(y * y,z,u)). L(x,y,T(z,u)) = L(L(x,y,z),y,K(z,u)). L(L(x,y,z),y,K(z,u)) = L(x,y,T(z,u)). L(L(x,y,z),y,K(z,u)) != w | L(x,y,T(z,u)) = w. L(x,y,y) = L(x,y,T(y,z)). L(x,y,T(y,z)) = L(x,y,y). L(x,y,K(z,u)) != w | x * a(y,z,K(u,x)) = w. L(x,y,z) * a(y,z,K(u,L(x,y,z))) = L(x,y,T(z,u)). L(x,y,K(z,u)) != w | L(x,u,K(y,z)) = w. L(L(x,y,z),u,K(y,z)) = L(x,y,T(z,u)). L(x,T(y,z),y) = L(x,y,y). L(L(x,y,z),u,K(z,y)) = L(x,y,T(z,u)). T(x,a(y,z,u)) != w | L(x,u,K(y,z)) = w. L(x \ 1,y,K(z,u)) = L(x,y,K(z,u)) \ 1. x * L(y,z,K(u,w)) = x * L(y,w,K(u,z)). L(x,K(y,z),u) = L(x,y,K(u,z)). L(x,K(y,z),u) = L(x,z,K(u,y)). L(x,K(y,z),u) != w | T(a(1 / x,u,y),z) \ L(x,y,u) = w. T(a(1 / x,y,z),u) \ L(x,z,y) = L(x,u,K(y,z)). L(x \ 1,K(y,z),u) != w | x \ a(u,z,K(y,x)) = w. x \ a(y,z,K(u,x)) = L(x \ 1,z,K(y,u)). L(x \ 1,y,K(z,u)) = x \ a(z,y,K(u,x)). x \ y != L(z,K(u,w),v5) | x * L(z,w,K(v5,u)) = y. (K(x,y) * z) * L(u,y,K(z,x)) = T(z,K(x,y)) * (K(x,y) * u). (x * (x * K(y,z))) * L(u,z,K(x * x,y)) = (x * x) * (K(y,z) * u). ((L(x,y,K(z,u)) \ 1) \ 1) \ 1 = L(1 / x,y,K(z,u)). (K(x,y) * z) * L(u,y,K(x,z)) != w | K(x,y) * (z * u) = w. L(x \ 1,y,K(z,u)) = x \ a(u,y,K(z,x)). L(x \ 1,y,K(z,u)) != x \ w | a(u,y,K(z,x)) = w. L(a(x * x,y,z) \ u,z,a(x,x,y)) = u / a(x * x,y,z). a(x,y,K(z,u)) * (u / w) = L(u,z,K(x,y)) / w. L(x,y,K(z,u)) \ w = a(z,u,K(x,y)) * (x \ w). a(x,y,K(z,u)) * (z \ w) = L(z,u,K(x,y)) \ w. L(x,y,K(z,u \ 1)) != w | L(x,y,K(z,u)) = w. L(T(x,y),y,K(z,u)) = T(x,L(y,z,1 / u)). T(x,L(y,z,1 / u)) = L(T(x,y),y,K(z,u)). x != L(T(y,z),z,K(u,w)) | T(y,L(z,u,w)) = x. T(x,L(y,z,u)) = T(x,L(y,z,1 / u)). T(x,L(y,z,1 / u)) = T(x,L(y,z,u)). T(x,L(y,z,u)) = T(x,L(y,z,u \ 1)). T(x,L(y,z,u \ 1)) = T(x,L(y,z,u)). T(x,L(y,(z \ 1) \ u,z \ 1)) != w | T(x,u \ (z \ (((1 / z) \ u) * y))) = w. T(x,y \ (z \ (((1 / z) \ y) * u))) = T(x,L(u,(z \ 1) \ y,z)). L(L(x,y,z),u,K(y,z)) != w | L(x,y,T(z,u)) = w. a(x,y,K(z,u)) * (z \ L(z,u,y)) != w | T(a(z \ 1,y,u),x) = w. T(a(x \ 1,y,z),u) = L(x,z,K(u,y)) \ L(x,z,y). L(x,y,K(z,u)) \ L(x,y,u) = T(a(x \ 1,u,y),z). (x * y) * K(z,u) != w * (y * K(z,u)) | L(x,y,K(z,u)) = w. L(x,y \ (1 / y),K(z,u)) * ((y \ 1) * (y \ K(z,u))) = (x * (y \ (1 / y))) * K(z,u). L(x,y,K(z,T(u,y))) * (K(z,u) * y) = (x * y) * K(z,T(u,y)). L(a(x \ 1,y,z) * u,z,K(x \ 1,y)) = u / (L(x,z,y) \ x). T(a(x \ 1,y,z),u) \ L(x,z,y) = L(x,u,K(y,z)). x * T(a(x \ 1,y,z),u) = a(u,y,K(x,z)) * L(x,z,y). a(x,y,K(z,u)) * L(z,u,y) = z * T(a(z \ 1,y,u),x). L(x,y,K(z,u)) \ L(x,u,z) = T(L(x,u,z) / x,y). L(x,y,K(z,u)) \ L(x,u,z) = T(x \ L(x,u,z),y). L(x,y,z) * a(y,z,K(u,x)) = L(x,y,T(z,u)). L(x,y,z) * a(y,z,K(x,u)) = L(x,y,T(z,u)). L(x,y,z) * a(u,y,K(x,z)) = L(x,y,T(z,u)). L(x,y,z) * a(u,y,K(x,z)) != w | T(L(x,y,z) \ x,u) \ x = w. T(L(x,y,z) \ x,u) \ x = L(x,y,T(z,u)). T(L(x,y,z) \ x,u) \ x != w | T(a(x \ 1,z,y) \ 1,u) \ x = w. T(a(x \ 1,y,z) \ 1,u) \ x = L(x,z,T(y,u)). x \ y != L(y,z,u) | L(y,z,u) \ y = x. L(x,y,T(z,u)) \ x = T(L(x,y,z) \ x,u). T(L(x,y,z) \ x,u) = L(x,y,T(z,u)) \ x. 1 / L(x,y,K(z,u)) = L(1 / x,y,K(z,u)). L(1 / x,y,K(z,u)) = 1 / L(x,y,K(z,u)). L(x,y,z) * a(y,z,K(x,u)) != w | L(x,y,T(z,u)) = w. L(x,y,T(z,u)) = x * T(a(x \ 1,z,y),u). x * T(a(x \ 1,y,z),u) = L(x,z,T(y,u)). T(a(x \ 1,y,z),u) * x = L(x,z,T(y,u)). x != L(y,z,T(u,w)) | T(a(y \ 1,u,z) \ 1,w) \ y = x. T(a(x \ 1,y,z) \ 1,u) \ x = T(a(x \ 1,y,z),u) * x. a(x,y,K(z,u)) * L(z,u,y) != w | K(x,z) * T(L(z,u,y),x) = w. K(x,y) * T(L(y,z,u),x) = y * T(a(y \ 1,u,z),x). K(x,y) * L(T(y,x),z,u) = y * T(a(y \ 1,u,z),x). x != y * T(a(y \ 1,z,u),w) | L(y,u,T(z,w)) = x. L(x,y,T(z,u)) = K(u,x) * L(T(x,u),y,z). K(x,y) * L(T(y,x),z,u) = L(y,z,T(u,x)). K(x,y) * L(T(x,y),z,u) = L(x,z,T(u,y)). L(x,y,T(z,u)) \ x = L(T(x,u),y,z) \ T(x,u). L(T(x,y),z,u) \ T(x,y) = L(x,z,T(u,y)) \ x. ((L(T(x,y),z,u) * w) * R(K(y,x),L(T(x,y),z,u),w)) * R(K(y,x),L(T(x,y),z,u),w) = (R(K(y,x),L(T(x,y),z,u),w) \ 1) \ (L(x,z,T(u,y)) * w). K(x,x \ y) * L((x \ y) \ y,z,u) = L(x,z,T(u,x \ y)). (1 / (L(T(x,y),z,u) \ x)) * K(x,y) = 1 / (L(x,z,T(u,y)) \ x). a((1 / x) / y,z,K(u,y \ 1)) = a(z,x,K(u,(1 / x) / y)). T(x,L(y \ z,u,w) * (z \ y)) = L(x,u,K(w,(y \ z) \ 1)). a(x * x,y,z) \ u = u / a(x * x,y,z). x / a(y * y,z,u) = a(y * y,z,u) \ x. T(L(x,y,z) \ x,u) \ 1 = T(a(x \ 1,z,y),u). (x * (L(y,z,u) \ y)) \ x = a(y \ 1,u,z). x / a(y \ 1,z,u) = x * (L(y,u,z) \ y). x / a(y \ 1,z,u) != w | x / (y \ L(y,u,z)) = w. x / (y \ L(y,z,u)) = x * (L(y,z,u) \ y). 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) != ((z \ y) * u) * (z \ y) | (y \ z) \ u = x. (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 != w | x * (L(x,y,z) \ u) = w. 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 * y != (z \ L(z,u,w)) \ x | T(L(z,u,w) \ z,x) = y. T(L(x,y,z) \ x,u) = T(x \ L(x,y,z),u) \ 1. T(x \ L(x,y,z),u) \ 1 = T(L(x,y,z) \ x,u). x * y != (z \ L(z,u,w)) \ v5 | x \ ((L(z,u,w) \ z) * v5) = y. x \ ((L(x,y,z) \ x) * u) = L(x,y,z) \ u. a(x,y,z) \ u = (L(1 / x,z,y) \ (1 / x)) * u. (L(1 / x,y,z) \ (1 / x)) * u = a(x,z,y) \ u. a(x \ (y \ 1),z,u) \ w = (L(y * x,u,z) \ (y * x)) * w. (L(x * y,z,u) \ (x * y)) * w = a(y \ (x \ 1),u,z) \ w. x != (y \ L(y,z,u)) * w | L(y,z,u) * (y \ w) = x. L(x,y,z) * (x \ u) = (L(x,y,z) \ x) \ u. (L(x,y,z) \ x) \ u = L(x,y,z) * (x \ u). x * y != z * (u \ (u * w)) | T(x,y) = y \ (z * w). T(L(x,y,z) \ x,L(x,y,z) * u) = (L(x,y,z) * u) \ (x * u). x != y * (L(y,z,u) \ w) | L(y,z,u) \ (y * w) = x. L(x,y,z) \ (x * u) = (L(x,y,z) \ x) * u. x != y * (z \ (z * u)) | y * u = x. x * y = (L(x,z,u) \ x) * (L(x,z,u) * y). (L(x,y,z) \ x) * (L(x,y,z) * u) = x * u. T(x \ L(x,y,z),u) \ 1 != w | 1 / T(x \ L(x,y,z),u) = w. 1 / T(x \ L(x,y,z),u) = T(L(x,y,z) \ x,u). (a(x,y,z) \ 1) * u = a(x,y,z) \ u. (a(x,y,z) \ 1) \ u = a(x,y,z) * u. (a(x,y,z) \ 1) * (u \ 1) != w | (u * a(x,y,z)) \ 1 = w. (x * a(y,z,u)) \ 1 = a(y,z,u) \ (x \ 1). (a(x,y,z) \ 1) * y != u | y / a(x,y,z) = u. x / a(y,x,z) = a(y,x,z) \ x. (x * a(y,z,u)) \ x = a(y,z,u) \ 1. L(x,a(y,z,u),a(y,z,u)) = x. x * (a(y,z,u) \ 1) = x / a(y,z,u). a(x,y,z) * (a(x,y,z) * u) = (a(x,y,z) * a(x,y,z)) * u. (a(x,y,z) * a(x,y,z)) * u = a(x,y,z) * (a(x,y,z) * u). x * y != (a(z,u,w) \ 1) * v5 | (a(z,u,w) \ v5) / y = x. (a(x,y,z) \ (u * (w \ 1))) / (w \ 1) = w \ ((w * (a(x,y,z) \ 1)) * u). x * y != L(z,a(u,w,v5),a(u,w,v5)) | z / y = x. x / (a(y,z,u) \ 1) = x * a(y,z,u). L(x,a(y,z,u),a(y,z,u)) != w | x = w. a(x,y,z) \ ((y * (u * a(x,y,z))) / a(x,y,z)) = (y / a(x,y,z)) * L(u,a(x,y,z),a(x,y,z)). (x \ 1) \ (x * y) != z | (y * x) * x = z. (x * a(y,z,u)) * a(y,z,u) = a(y,z,u) * (a(y,z,u) * x). x * y != (a(z,u,w) \ 1) \ x | T(a(z,u,w),x) = y. T(a(x,y,z),u) = (a(x,y,z) \ u) \ u. (a(x,y,z) \ u) \ u = T(a(x,y,z),u). a(x,y,z) \ 1 != u \ w | w * a(x,y,z) = u. x / (a(y,z,u) \ 1) != w | x * a(y,z,u) = w. ((x * y) * z) \ (x * (y * z)) = a(x,y,z) \ 1. x / (a(y,z,u) \ 1) != w | L(a(y,z,u) * x,u,K(y,z)) = w. L(a(x,y,z) * u,z,K(x,y)) = u * a(x,y,z). (x * y) / (a(x \ 1,z,u) \ 1) != w | T(L(x,u,z) * y,a(x \ 1,z,u)) = w. T(L(x,y,z) * u,a(x \ 1,z,y)) = (x * u) * a(x \ 1,z,y). (x * a(y,z,u)) * a(y,z,u) = x * (a(y,z,u) * a(y,z,u)). L(x,y,K(z,u)) != w | L(x,z,K(u,y)) = w. L(a(x,y,z) * u,x,K(y,z)) = u * a(x,y,z). 1 / T(x \ L(x,y,z),u) != w | T(L(x,y,z) \ x,L(x,y,z) * (x \ u)) = w. T(L(x,y,z) \ x,L(x,y,z) * (x \ u)) = T(L(x,y,z) \ x,u). a((1 / x) / y,z,K(u,y \ 1)) = a(z,x,K(u,x \ (y \ 1))). T(x,L(y \ z,u,w) * (z \ y)) = L(x,u,K(w,z \ y)). a((1 / x) / y,z,K(u,y)) = a(z,x,K(u,x \ (y \ 1))). a((1 / x) / y,z,K(y,u)) = a(z,x,K(u,x \ (y \ 1))). a(x / y,z,K(y,u)) != w | a(z,x,K(y,u)) = w. a(x,1 / y,K(z,u)) = a(x,y,K(u,y \ (z \ 1))). a(x,y,K(z,y \ (u \ 1))) = a(x,1 / y,K(u,z)). a(x,y,K(z,y \ u)) != w | a(x,u,K(z,y)) = w. a(x,y \ 1,K(z,u)) = a(x,1 / u,K(y,z)). x != a(y,1 / z,K(u,w)) | a(y,u,K(w,z)) = x. a(x,y,K(z,u)) = a(x,y \ 1,K(z,u)). a(x,y \ 1,K(z,u)) = a(x,y,K(z,u)). a(x,L(y \ 1,z,u) \ 1,w) != v5 | a(x,a(y,u,z) \ y,w) = v5. a(x,a(y,z,u) \ y,K(w,v5)) = a(x,L(y \ 1,u,z),K(w,v5)). a(x,L(y \ 1,z,u),K(w,v5)) = a(x,a(y,u,z) \ y,K(w,v5)). L(K(x,y),z,u) * (u * (K(y,x) * z)) = z * T(u,K(y,x) * z). (K(x,y) * z) * L(u,y,K(x,z)) = T(z,K(x,y)) * (K(x,y) * u). T(x,y \ ((y * (z / u)) * u)) = T(x,L(z,(u \ 1) \ y,u)). L(a(x \ 1,y,z) * u,z,K(y,x \ 1)) = u / (L(x,z,y) \ x). T(L(x,y,z) \ x,u) != w | L(x,y,T(z,u)) \ x = w. L(x,y,T(z,L(x,y,z) * u)) \ x = (L(x,y,z) * u) \ (x * u). L(x,y,T(z,L(x,y,z) * (x \ u))) \ x = T(L(x,y,z) \ x,u). L(K(x,y),z,u) * w != v5 | T(w * L(K(x,y),z,u),K(y,L(x,z,u))) = v5. T((x * (K(y,z) * u)) * L(K(z,y),u,x),K(y,L(z,u,x))) = u * T(x,K(y,z) * u). K(x,y) * (z * u) = T(z,K(x,y)) * (K(x,y) * u). T(x,K(y,z)) * (K(y,z) * u) = K(y,z) * (x * u). (x * T(y,K(z,u))) * K(z,u) = (x * K(z,u)) * y. x * (K(y,z) * u) = K(y,z) * (T(x,K(y,z)) * u). K(x,y) * (T(z,K(x,y)) * u) = z * (K(x,y) * u). T(1 / x,K(y,z)) * (K(y,z) * (1 / u)) = K(y,z) * (1 / (u / (x \ 1))). (x * y) * K(z,u) = (x * K(z,u)) * T(y,K(z,u)). (x * K(y,z)) * T(u,K(y,z)) = (x * u) * K(y,z). x \ (K(y,z) * u) = K(y,z) * (T(x,K(y,z)) \ u). K(x,y) * (T(z,K(x,y)) \ u) = z \ (K(x,y) * u). x * (T(y,x) * z) != u | T(x,y) * (y * z) = u. T(K(x,y),z) * (z * u) = z * (K(x,y) * u). K(x,T(y,z)) * (z * u) = z * (K(x,y) * u). x \ (K(y,T(z,x)) * u) = K(y,z) * (x \ u). K(x,T(y,z * u)) * T(u,z \ 1) = (z * u) * (K(x,y) * (z \ 1)). x \ ((y * (K(z,u) * x)) / x) = (x \ K(z,T(u,y))) * L(y,x,x). (x \ K(y,T(z,u))) * L(u,x,x) = x \ ((u * (K(y,z) * x)) / x). K(x,T(y,(z * z) \ u)) * (u / z) = ((z * z) \ u) * (K(x,y) * z). K(x,T(y,z \ u)) * T(u,z \ 1) = (z \ u) * (K(x,y) * ((z \ 1) \ 1)). K(x,y * z) * (y * u) = y * (K(x,z * y) * u). x \ (K(y,z) * u) = K(y,T(z,x)) * (x \ u). K(x,T(y,z)) * (z \ u) = z \ (K(x,y) * u). (x * x) \ (K(y,z) * u) = K(y,z) * ((x * x) \ u). T(x,y * (z \ (K(u,w) * (v5 \ 1)))) = T(x,y * (K(u,T(w,z)) / (v5 * z))). (x * K(y,z)) \ (u * K(y,z)) = T(x \ u,K(y,z)). (x * K(y,z)) * T(u * x,K(y,z)) != w | x * (u * (x * K(y,z))) = w. x * (y * (x * K(z,u))) = (x * (y * x)) * K(z,u). (x * (y * x)) * K(z,u) = x * (y * (x * K(z,u))). (x * K(y,z)) * (y * T(u,T(y,z))) = (x * (u * y)) * K(y,z). K(x,y) * (z \ (K(x,y) * u)) = T(z,K(x,y)) \ u. x != (1 / y) * z | (y * y) \ (y * z) = x. (x * x) \ (x * (K(y,z * (1 / x)) * u)) = K(y,(1 / x) * z) * ((1 / x) * u). K(x,y) * ((x * x) \ z) != u | (1 / x) * (T(x,y) \ z) = u. R(T(x,y * K(z,u)),y,K(z,u)) = T(y \ (x * y),K(z,u)). (x / K(y,z)) \ (u * K(y,z)) = T(x \ u,K(y,z)). ((x * y) * (z * (x * y))) * K(x,y) != u | ((1 / (x * y)) \ z) * (y * x) = u. ((1 / (x * y)) \ z) * (y * x) = (x * y) * (z * ((x * y) * K(x,y))). (x * y) * (z * ((x * y) * K(x,y))) = ((1 / (x * y)) \ z) * (y * x). K(x,y) * (z \ (K(x,y) * u)) != w | T(u,z) * (T(z,K(x,y)) \ 1) = w. T(x,y) * (T(y,K(z,u)) \ 1) = T(y,K(z,u)) \ x. x \ (y * K(z,u)) = T((x * K(z,u)) \ y,K(z,u)). T((x * K(y,z)) \ u,K(y,z)) = x \ (u * K(y,z)). T(x,T(y,K(z,u))) = T(x,y). T(x,y * K(z,u)) = T(x,K(z,u) * y). T(x,K(y,z) * u) = T(x,u * K(y,z)). T(x,T(y,z)) != T(T(u,K(y,z)),y) | u = x. x = T(x,K(y,K(z,u))). T(x,K(y,K(z,u))) = x. x * y != T(z,T(u,K(w,v5))) | x \ T(z,u) = y. x \ T(x,y) = K(x,T(y,K(z,u))). K(x,T(y,K(z,u))) = x \ T(x,y). T(x,K(y,z) * u) != w | T(x,u * K(y,z)) = w. T(x,y * (z * K(u,w))) = T(x,(K(u,w) * y) * z). T(x,(K(y,z) * u) * w) = T(x,u * (w * K(y,z))). K(x,K(y,z) * u) = K(x,u * K(y,z)). (K(x,K(y,z)) * u) * w = u * (w * K(x,K(y,z))). T(x,T(K(y,z),u)) = T(x,K(y,z)). x * K(y,K(z,u)) = K(y,K(z,u)) * x. K(x,K(y,z)) * u = u * K(x,K(y,z)). T(x * K(y,T(z,u)),K(u,K(y,z))) != w | K(y,K(z,u)) * (x * K(y,z)) = w. K(x,K(y,z)) * (u * K(x,y)) = u * K(x,T(y,z)). T(K(x,K(y,z)),u) = K(x,K(y,z)). T(x,K(y,K(z,u))) != w | x = w. 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). K(x,K(y,z)) * (u * w) = u * (K(x,K(y,z)) * w). K(x,K(y,z)) * (u \ w) = u \ (K(x,K(y,z)) * w). x \ (K(y,K(z,u)) * w) = K(y,K(z,u)) * (x \ w). T(x,T(y,K(z,u))) != w | T(x,y) = w. K(x,y) = K(x,T(y,K(z,u))). K(x,T(y,K(z,u))) = K(x,y). K(x,T(y,T(z,u))) = K(x,T(y,z)). K(x,T(y,z * u)) = K(x,T(y,u * z)). K(x,K(y,z) * u) != w | K(x,u * K(y,z)) = w. K(x,y * (z * K(u,w))) = K(x,(K(u,w) * y) * z). K(x,(K(y,z) * u) * w) = K(x,u * (w * K(y,z))). T(x,K(y,T(z,u))) = T(x,K(y,z)). T(x,K(y,z \ u)) = T(x,K(y,u / z)). T(x,K(y,z / u)) = T(x,K(y,u \ z)). K(x,T(K(y,z),u)) = K(x,K(y,z)). K(x,K(y,z)) * T(x,u) = T(T(x,u),K(y,z)). K(x,T(y,T(z,u))) != w | K(x,T(y,u \ (z \ u))) = w. K(x,T(y,z \ (u \ z))) = K(x,T(y,u)). T(K(x,y) * z,u) * K(y,T(x,w)) = K(y,T(x,w)) * T(z * K(x,y),u). T(x,T(T(y,z),u)) = T(T(x,T(y,z)),K(u,y)). T(T(x,T(y,z)),K(u,y)) = T(x,T(T(y,z),u)). T(K(x,K(y,z)) * u,w) = T(u,w) * K(x,K(y,z)). T(x,T(y,T(z,u))) != w | T(x,T(y,z)) = w. T(x,T(y,z * u)) != w | T(x,T(y,u * z)) = w. T(x,y * (z * K(y,u))) != w | T(x,T(y,u) * z) = w. T(x,K(y,z) * u) != w | T(x,K(z,y) * u) = w. T(x,K(y,z) * u) = T(x,u * K(z,y)). T(x,K(y,z) * (u * z)) = T(x,u * T(z,y)). T(x,T(y,z) \ u) = T(x,(y \ u) * K(y,z)). T(x,(y \ z) * K(y,u)) = T(x,T(y,u) \ z). T(x,y \ (T(y,z) \ u)) = T(x,(y \ (y \ u)) * K(y,z)). T(x,(y \ (y \ z)) * K(y,u)) = T(x,y \ (T(y,u) \ z)). T(x,K(y,z \ 1) * (u * (z \ (1 / z)))) = T(x,(u / z) * T(1 / z,y)). K(x,K(y,z) * u) = K(x,u * K(z,y)). K(x,K(y,z) * (u / y)) = K(x,u / T(y,z)). K(x,y * K(z,u)) != w | K(x,K(u,z) * y) = w. K(x,K(y,z)) * (K(x,y) * u) != w | K(x,T(y,z)) * u = w. K(x,T(y,z)) * u = (K(x,y) * u) * K(x,K(y,z)). (K(x,y) * z) * K(x,K(y,u)) = K(x,T(y,u)) * z. K(x,T(y,z * u)) * ((u * z) \ w) = (u * z) \ (K(x,y) * w). T(x,K(y,z / u)) != w | T(x,K(u / z,y)) = w. T(x,K(y / z,u)) = T(x,K(u,y \ z)). K(x,K(y,z)) * T(x,T(u,y)) != w | K(x,T(y,z)) * T(T(x,y),u) = w. K(x,T(y,z)) * T(T(x,y),u) = T(T(x,T(u,y)),K(y,z)). T(T(x,T(y,z)),K(y,u)) = T(x,T(T(y,z),u)). T(T(x,K(y,z)),T(z,u)) = T(x,T(T(z,u),y)). T(x,K(y,(z * u) * u) * (w * ((u * u) * z))) = T(x,w * T((z * u) * u,y)). T(x,K(y,T(T(z,u),w)) * T(z,T(w,u))) = T(x,K(z,u) * T(T(T(z,u),w),y)). T(x,K(y,z) * u) != w | T(x,u * K(z,y)) = w. T(x,y * K(z,u)) != w | T(x,y * K(u,z)) = w. K(x,K(y,z) * u) != w | K(x,u * K(z,y)) = w. T(L(T(x,K(y,z)),K(y,z),u),K(y,z)) = u \ ((u * (x * K(y,z))) * K(y,z)). T((x * K(y,z)) \ u,K(y,z)) = x \ (u * L(K(y,z),w,w)). T((x * a(y,z,K(u,w))) \ v5,K(u,a(y,z,w))) = x \ (v5 * K(u,a(y,z,w))). (x * K(y,K(z,u))) * w = x * (w * K(y,K(z,u))). K(x,K(y,z)) * (u * w) = u * (w * K(x,K(y,z))). x != K(y,K(z,u)) * w | w * K(y,K(z,u)) = x. (x \ y) * K(z,K(u,w)) = x \ (K(z,K(u,w)) * y). x \ (K(y,K(z,u)) * w) = (x \ w) * K(y,K(z,u)). x \ (y * (K(z,K(u,w)) * v5)) = K(z,K(u,w)) * (x \ (y * v5)). K(x,(K(y,z) / u) * w) = K(x,(1 / u) * (w * K(y,z))). K(x,(1 / y) * (z * K(u,w))) = K(x,(K(u,w) / y) * z). T(x * K(y,K(z,u)),w) = T(x,w) * K(y,K(z,u)). (x * y) * K(z,K(u,w)) = x * (y * K(z,K(u,w))). x != y * (z * K(u,K(w,v5))) | (K(u,K(w,v5)) * y) * z = x. (K(x,K(y,z)) * u) * w = K(x,K(y,z)) * (u * w). x \ K(y,T(z,u)) = (x \ K(y,z)) * K(y,K(u,z)). (x \ K(y,z)) * K(y,K(u,z)) = x \ K(y,T(z,u)). T(x * K(y,K(z,u)),w) / K(y,z) = T(x,w) / T(K(y,z),u). L(x,y,K(z,K(u,w))) = x. K(x,K(y,L(z,u,w))) = K(x,K(y,z)). a(K(x,y),z,K(u,w)) = 1. L(x,y,T(z,K(u,w))) = L(x,y,z). T(x,a(K(y,z),u,w)) = x. L(a(x,y,z) * u,x,K(y,z)) != w | u * a(x,y,z) = w. x * a(y,z,K(u,w)) = a(y,z,K(u,w)) * x. a(x,y,K(z,u)) * w = w * a(x,y,K(z,u)). L(T(x,y),y,K(z,u)) != w | T(x,L(y,z,u)) = w. T(x,L(y,z,K(u,w))) = T(x,y). a(x,y,z) * u != L(a(x,y,z) * w,x,K(y,z)) | T(w,a(x,y,z)) = u. T(x,a(y,z,K(u,w))) = x. L(x,y,K(z,K(u,w))) != v5 | x = v5. (x * (K(y,K(z,u)) * w)) \ (x * (K(y,K(z,u)) * (w * v5))) = L(v5,K(y,K(z,u)) * w,x). a(x,y \ (y / z),K(u,w)) != v5 | a(w,x,K(z,u)) = v5. a(x,K(y,z),K(u,w)) = 1. L(K(x,y),z,K(u,w)) = K(x,y). T(x,K(y,a(z,u,w))) = x. T(x,K(a(y,z,u),w)) = x. T(x / a(y,z,K(u,w)),a(y,z,K(u,w))) != v5 | a(y,z,K(u,w)) * x = v5. a(x,y,K(z,u)) * w = w / a(x,y,K(z,u)). x / a(y,z,K(u,w)) = a(y,z,K(u,w)) * x. T(x,a(y,z,K(u,w))) != v5 | x = v5. L(K(x,y),K(z,u),w) = K(x,y). T(x,a(y,z,u) * w) = T(x,w * a(y,z,u)). T(x,K(y,a(z,u,w))) != v5 | x = v5. T(x,a(y,z,u)) != w | T(x,T(a(y,z,u),v5)) = w. T(a(x,y,z),K(u,w)) = a(x,y,z). T(x,T(y,a(z,u,w))) != v5 | T(x,y) = v5. T(x,a(y,z,u) * w) != v5 | T(x,w * a(y,z,u)) = v5. x \ y != T(z,L(u,w,K(v5,v6))) | x * T(z,u) = y. L(x,y,K(z,u)) * T(w,x) = w * L(x,y,K(z,u)). T(x,(K(y,z) * u) \ (K(y,z) * w)) = T(x,u \ w). T(x,y) * L(y,z,K(u,w)) = L(y,z,K(u,w)) * x. T(x,T(y,L(z,u,w))) = T(x,T(y,z)). K(x,L(y,z,K(u,w))) = K(x,y). (K(x,y) * (z * K(u,w))) / K(u,w) = K(x,y) * z. K(x,L(y,K(z,u),w)) = K(x,y). K(x,L(y,z,T(u,w))) = K(x,L(y,z,u)). K(x,T(y,L(z,u,w))) = K(x,T(y,z)). K(x,(y * K(z,u)) \ w) = K(x,K(u,z) * (y \ w)). L(x,y,T(z,T(u,w))) = L(x,y,T(z,u)). L(x,y,z * (u * K(z,w))) = L(x,y,T(z,w) * u). L(x,y,T(z,K(u,w))) != v5 | L(x,y,z) = v5. T(a(x,y,z),u) = T(T(a(x,y,z),u),K(w,v5)). T(T(a(x,y,z),u),K(w,v5)) = T(a(x,y,z),u). T(a(x,y,z),u) = T(a(x,y,z),T(u,w)). T(a(x,y,z),T(u,w)) = T(a(x,y,z),u). T(a(x,y,z),u * w) != v5 | T(a(x,y,z),w * u) = v5. K(x,K(y,z)) * y = T(y,K(x,R(z,u,w))). T(x,K(y,R(z,u,w))) = K(y,K(x,z)) * x. T(x,T((y * z) * u,L(y,z,u))) != w | T(x,(z * u) * R(y,z,u)) = w. T(x,(y * z) * R(u,y,z)) = T(x,T((u * y) * z,u)). T(x,T((y * z) * u,y)) = T(x,(z * u) * R(y,z,u)). T(x,T(y * (z * u),L(u,z,y))) != w | T(x,L(u,z,y) * (y * z)) = w. T(x,L(y,z,u) * (u * z)) = T(x,T(u * (z * y),y)). T(x,T(y * (z * u),u)) = T(x,L(u,z,y) * (y * z)). T(x,(y * z) * a(y \ 1,u,w)) != v5 | T(x,L(y,w,u) * z) = v5. K(x,L(y,z,K(u,w) * T(v5,u))) = K(x,L(y,z,K(u,w) * v5)). a(T(x,y) \ 1,z,u) = T(a(T(x,y) \ 1,z,u),x). T(a(T(x,y) \ 1,z,u),x) = a(T(x,y) \ 1,z,u). L(x,y,T(z,u * w)) != v5 | L(x,y,T(z,w * u)) = v5. x != K(y,K(z,u)) * z | T(z,K(y,u)) = x. T(x,K(y,z)) = T(x,K(y,R(z,u,w))). T(x,K(y,R(z,u,w))) = T(x,K(y,z)). T(x,K(y,L(z,u,w))) = T(x,K(y,z)). a(x,y,K(z,u)) \ ((w * (a(x,y,K(z,u)) * v5)) * a(x,y,K(z,u))) = ((1 / a(x,y,K(z,u))) \ w) * v5. x != T(y,T(z,u \ 1)) | T(y,T(z,u)) = x. T(a(x,y,z),T(u,w)) = T(T(a(x,y,z),T(u,w \ 1)),K(v5,v6)). T(T(a(x,y,z),T(u,w \ 1)),K(v5,v6)) = T(a(x,y,z),T(u,w)). T(a(x,y,z),T(u,w)) != v5 | T(a(x,y,z),u) = v5. T(x,T(a(y,z,u),w)) = L(x,u,K(y,z)). (K(x,T(y,z)) * u) * w = K(x,K(y,z)) * ((K(x,y) * u) * w). K(x,K(y,z)) * ((K(x,y) * u) * w) = (K(x,T(y,z)) * u) * w. T(x,(K(y,z) * u) \ w) != v5 | T(x,(u \ K(y,z)) * w) = v5. T(x,(y \ K(z,u)) * (K(z,u) * w)) = T(x,y \ w). (K(x,y) * (z * K(u,w))) * K(u,w) = K(x,y) * z. x != K(y,K(z,u) * w) | K(y,w * K(u,z)) = x. K(x,(y \ z) * K(u,w)) = K(x,(y * K(u,w)) \ z). K(x,(y * K(z,u)) \ w) = K(x,(y \ w) * K(z,u)). K(x,(y * K(z,u)) \ w) != v5 | K(x,(y \ w) * K(z,u)) = v5. L(x,y,z * (u / T(z,w))) = L(x,y,T(z,w) * (u / z)). L(x,y,T(z,u) * (w / z)) = L(x,y,z * (w / T(z,u))). T(a(T(x,y) \ 1,z,u),x) != w | (x \ L(T(x,y),u,z)) * K(x,y) = w. (x \ L(T(x,y),z,u)) * K(x,y) = a(T(x,y) \ 1,u,z). T(x,(y \ K(z,u)) * w) = T(x,y \ (K(z,u) * w)). T(x,y \ (K(z,u) * w)) = T(x,(y \ K(z,u)) * w). K(x,y) * ((K(x,y) * K(z,u)) * w) = K(z,u) * w. K(x,(y * K(z,u)) \ w) != v5 | K(x,K(u,z) * (y \ w)) = v5. T(x,y \ (K(z,u) * w)) != v5 | T(x,y \ ((w \ K(z,u)) \ 1)) = v5. T(x,y \ ((z \ K(u,w)) \ 1)) = T(x,(y \ K(u,w)) * z). K(x,y) * (K(x,T(y,z)) * u) = K(x,K(y,z)) * u. T(x,y * (z * K(u,y))) != w | T(x,T(y,u) * z) = w. T(a(x,y,z),u * K(w,v5)) != v6 | T(a(x,y,z),w * (u / T(w,v5))) = v6. T(x,T(T(y,z) * (z * u),u)) = T(x,L(u,z,T(y,z)) * (z * y)). T(x,(y \ z) * K(y,u)) != w | T(x,T(y,u) \ z) = w. T(x,T(y,z) \ (y \ u)) = T(x,y \ (T(y,z) \ u)). K(a(x,y,z),T(u \ 1,w)) * T(T(a(x,y,z),u),v5) = T(T(a(x,y,z),T(v5,u \ 1)),K(u \ 1,w)). K(x,(1 / y) * z) != u | K(x,y \ z) = u. K(x,y \ (z * K(u,w))) = K(x,(K(u,w) / y) * z). L(x,y,T(z,u) * (w / z)) != v5 | L(x,y,K(z,u) * T(w,z)) = v5. L(x,y,K(z,u) * T(w,z)) = L(x,y,z * (w / T(z,u))). R(T(x,y * K(z,u)),y,K(z,u)) = T(T(x,y),K(z,u)). R(x,y,K(z,u)) != w | L(x,y,K(z,u)) = w. L(T(x,y * K(z,u)),y,K(z,u)) = T(T(x,y),K(z,u)). L(T(x,(y \ (y \ 1)) * K(z,u)),y \ (y \ 1),K(z,u)) = T(L(x,y,y),K(z,u)). L(T(x,y * (y * K(z,u))),y * y,K(z,u)) = T(T(x,y * y),K(z,u)). L(T(x,K(y,z) * u),u,K(y,z)) = T(T(x,u),K(y,z)). L(T(x,y),K(z,u) * y,K(z,u)) = T(T(x,K(z,u) * y),K(z,u)). x != y \ (z * L(u,y,y)) | (y \ 1) * (L(z,y,y) * u) = x. (x \ 1) * (L(y,x,x) * K(z,u)) = T((x * K(z,u)) \ y,K(z,u)). T((x * K(y,z)) \ u,K(y,z)) = (x \ 1) * (L(u,x,x) * K(y,z)). K(x,(K(y,z) * u) \ w) != v5 | K(x,(T(u,K(y,z)) \ w) * K(y,z)) = v5. (T(x,y) * K(y,z)) * (y * T(x,T(y,z))) != u | (T(y,z) \ (y * x)) * (y * x) = u. (T(x,y) \ (x * z)) * (x * z) = (T(z,x) * (z * x)) * K(x,y). T(K(x,T(y,z)) * u,w) / K(x,y) = T(K(x,y) * u,w) / T(K(x,y),z). K(x,L(y,z,u * (w / T(u,v5)))) = K(x,L(y,z,K(u,v5) * w)). x != T(a(y,z,u),T(w,v5)) | a(y,z,K(u,v5)) * T(T(a(y,z,u),v5),w) = x. a(x,y,K(z,u)) * T(T(a(x,y,z),u),w) = T(T(a(x,y,z),T(w,u \ 1)),K(v5,v6)). T(T(a(x,y,z),T(u,w \ 1)),K(v5,v6)) = a(x,y,K(z,w)) * T(T(a(x,y,z),w),u). ((K(x,T(y,z)) * u) * w) \ (K(x,K(y,z)) * ((K(x,y) * u) * (w * v5))) = L(L(v5,w,K(x,y) * u),(K(x,y) * u) * w,K(x,K(y,z))). (T(x,y) \ (x * z)) * (x * z) = (z * (T(z,x) * x)) * K(x,y). (T(x,y) \ (x * z)) * (x * z) = (z * (x * z)) * K(x,y). x != (y * (z * y)) * K(u,w) | y * (z * (y * K(u,w))) = x. x * (y * (x * K(y,z))) = (T(y,z) \ (y * x)) * (y * x). (T(x,y) \ (x * z)) * (x * z) = z * (x * (z * K(x,y))). (K(x,y) * z) * (x * z) = z * (x * (z * K(x,y))). (x * (y * (x * K(y,z)))) \ T(y,z) = ((T(y,z) * x) \ y) * (T(y,z) / (y * x)). ((T(x,y) * z) \ x) * (T(x,y) / (x * z)) = (z * (x * (z * K(x,y)))) \ T(x,y). ((x * y) \ T(y,z)) * (T(y,z) / (x * y)) = (x * (y * (x * K(y,z)))) \ T(y,z). L(x,y,K(z,u \ 1)) != w | L(x,y,K(u,z)) = w. L(a(x \ 1,y,z) * u,z,K(x,y)) = u / (L(x,z,y) \ x). L((x \ L(x,y,z)) * u,y,K(x,z)) = u / (L(x,y,z) \ x). x != y / (L(z,u,w) \ z) | y * (z \ L(z,u,w)) = x. x * (y \ L(y,z,u)) = L((y \ L(y,z,u)) * x,z,K(y,u)). L((x \ L(x,y,z)) * u,y,K(x,z)) = u * (x \ L(x,y,z)). L(L(x,y,z) * (x \ u),y,K(x,z)) = u * (x \ L(x,y,z)). (x \ K(y,T(z,u))) * L(u,x,x) = x \ (x * ((x \ u) * K(y,z))). T(x,T(T(y,z) * (z * u),u)) = T(x,L(u,z,y) * (z * y)). (K(x,y) * (z \ 1)) * L(u,z,z) = (z * K(x,y)) \ u. T((x * K(y,z)) \ u,(K(y,z) * (x \ 1)) \ 1) = L(u,x,x) * T(K(y,z) * (x \ 1),(K(y,z) * (x \ 1)) \ 1). L(x,y,y) * T(K(z,u) * (y \ 1),(K(z,u) * (y \ 1)) \ 1) = T((y * K(z,u)) \ x,(K(z,u) * (y \ 1)) \ 1). (x \ K(y,T(z,u))) * L(u,x,x) != w | (x \ u) * K(y,z) = w. ((K(x,y) * z) * u) \ ((K(y,x) * z) * (u * y)) = L(y,u,z). ((K(x,y) * z) * u) \ ((K(x,y) * z) * (u * y)) = L(y,u,z). L(x,y,K(z,x) * u) = L(x,y,u). x \ y != L(z,u,K(w,z) * v5) | x * L(z,u,v5) = y. x * L(x \ 1,y,z) = a(x,K(u,x \ 1) * z,y). a(x,K(y,x \ 1) * z,u) = x * L(x \ 1,u,z). a(x,K(y,x \ 1) * z,u) != w | a(x,z,u) = w. x != 1 / (L(y,z,u) \ y) | a(y \ 1,u,z) = x. a(x \ 1,T(y,z),u) = (1 / (L(T(x,z),u,y) \ x)) * K(x,z). (1 / (L(T(x,y),z,u) \ x)) * K(x,y) = a(x \ 1,T(u,y),z). (x \ L(T(x,y),z,u)) * K(x,y) = a(x \ 1,T(u,y),z). (x \ L(T(x,y),z,u)) * K(x,y) != w | a(T(x,y) \ 1,u,z) = w. a(T(x,y) \ 1,z,u) = a(x \ 1,T(z,y),u). a(T(1 / x,y) \ 1,z,u) != w | a(T(x,y),z,u) = w. a(T(x,y),z,u) = a((1 / x) \ 1,T(z,y),u). a((1 / x) \ 1,T(y,z),u) = a(T(x,z),y,u). a(x,T(y,z),u) = a(T(x,z),y,u). a(T(x,y),z,u) = a(x,T(z,y),u). a(T(x,y),z,u) != w | a((x \ y) \ y,z,u) = w. a((x \ y) \ y,z,u) = a(x,T(z,y),u). a(T(x,x * y),z,u) != w | a(T(x,y),z,u) = w. a(T(x,y),z,u) = a(x,T(z,x * y),u). a(x,T(y,x * z),u) = a(T(x,z),y,u). K(x,x \ y) * L((x \ y) \ y,z,u) = x * a(x \ 1,T(u,y),z). T(x,T(y,z) * (a(1 / y,T(u,z),w) * v5)) = T(x,L(T(y,y \ z),w,u) * v5). a((x \ y) \ y,z,u) != w | a(y * (x / y),z,u) = w. a(x * (y / x),z,u) = a(y,T(z,x),u). x != a(T(y,z),u,w) | a(y,T(u,z),w) = x. a(x,T(y,z),u) = a(x,T(y,x * z),u). a(x,T(y,x * z),u) = a(x,T(y,z),u). a(x * y,z,u) = a(y * x,T(z,x),u). a(x * y,T(z,y),u) = a(y * x,z,u). K(x,T(y,z \ (z \ u))) * (u / z) = ((z * z) \ u) * (K(x,y) * z). (x * y) * (z * (x * T(y,x))) = ((1 / (x * y)) \ z) * (y * x). ((1 / (x * y)) \ z) * (y * x) = (x * y) * (z * (x * T(y,x))). ((1 / (x * y)) \ z) * (y * x) = (x * y) * (z * (y * x)). ((1 / (x * y)) \ x) * (y * x) != z | x * (x * ((y * x) * y)) = z. x * (x * ((y * x) * y)) = (x * y) * (x * (y * x)). (x * y) * (x * (y * x)) = x * (x * ((y * x) * y)). ((x \ T(y,z)) * (y \ x)) * ((y \ x) \ 1) = (x \ T(y,z)) * ((x \ T(y,z)) * (((y \ x) * (x \ T(y,z))) * (y \ x))). (x \ T(y,z)) * ((x \ T(y,z)) * (((y \ x) * (x \ T(y,z))) * (y \ x))) = ((x \ T(y,z)) * (y \ x)) * ((y \ x) \ 1). x != y * a(y \ 1,z,u) | L(y,u,z) = x. L(x,y,T(z,u)) = K(x,x \ u) * L((x \ u) \ u,y,z). K(x,x \ y) * L((x \ y) \ y,z,u) = L(x,z,T(u,y)). K(x,x \ y) * L((x \ y) \ y,z,u) != w | L(x,z,T(u,x \ y)) = w. L(x,y,T(z,x \ u)) = L(x,y,T(z,u)). L(x,y,T(z,u)) = L(x,y,T(z,x * u)). L(x,y,T(z,x * u)) = L(x,y,T(z,u)). L(x,y,T(z,u * x)) = L(x,y,T(z,u)). (x * (x * K(y,z))) * L(u,z,a(x,x,y)) = (x * x) * (K(y,z) * u). (x * (x * K(y,z))) * u = (x * x) * (K(y,z) * u). (1 / T(x,K(y,z))) * (K(y,z) * (1 / u)) = K(y,z) * (1 / (u / (x \ 1))). K(x,T(y,z \ u)) * T(u,z \ 1) = (z \ u) * ((z \ K(x,y)) \ 1). T(x,y * (z \ (u * (w \ 1)))) != v5 | T(x,y * (z \ (u / w))) = v5. T(x,y * (z \ (K(u,w) / v5))) = T(x,y * (K(u,T(w,z)) / (v5 * z))). T(x,y * (K(z,T(u,w)) / (v5 * w))) = T(x,y * (w \ (K(z,u) / v5))). T(x,K(y,z \ 1) * (u / (z * z))) = T(x,(u / z) * T(1 / z,y)). T(x,K(y,z \ 1) * (z \ (z \ u))) = T(x,(u / z) * T(1 / z,y)). T(x,T(y,z * y) \ (y \ u)) = T(x,(u / y) * T(1 / y,z)). T(x,T(y,z) \ (y \ u)) != w | T(x,y \ (T(y,z) \ u)) = w. T(x,y \ (T(y,z * y) \ u)) = T(x,(u / y) * T(1 / y,z)). T(x,y \ (T(z,u * z) \ w)) != v5 | T(x,y \ (T(z,u) \ w)) = v5. T(x,y \ (T(y,z) \ u)) = T(x,(u / y) * T(1 / y,z)). T(x,(y / z) * T(1 / z,u)) = T(x,z \ (T(z,u) \ y)). T(K(x,T(y,z)) * u,w) * K(y,x) = T(K(x,y) * u,w) / T(K(x,y),z). T(K(x,y) * z,u) / T(K(x,y),w) = T(K(x,T(y,w)) * z,u) * K(y,x). (1 / T(x,K(y,z))) * (K(y,z) / u) = K(y,z) * (1 / (u / (x \ 1))). x != K(y,z) * (1 / u) | K(y,z) / u = x. K(x,y) / (z / (u \ 1)) = (1 / T(u,K(x,y))) * (K(x,y) / z). (1 / T(x,K(y,z))) * (K(y,z) / u) = K(y,z) / (u / (x \ 1)). T(K(x,y) * z,u) / K(x,T(y,w)) = T(K(x,T(y,w)) * z,u) * K(y,x). T(K(x,y) * z,u) * K(y,T(x,w)) = T(K(x,T(y,w)) * z,u) * K(y,x). T(K(x,T(y,z)) * u,w) * K(y,x) = T(K(x,y) * u,w) * K(y,T(x,z)). T(K(x,T(y,z)) * u,w) * K(y,x) != v5 | K(y,x) * T(K(x,K(y,z)) * (u * K(x,y)),w) = v5. K(x,y) * T(K(y,K(x,z)) * (u * K(y,x)),w) = T(K(y,x) * u,w) * K(x,T(y,z)). T(L(T(x,K(y,z)),z,K(u,y)),K(y,z)) = u \ ((u * (x * K(y,z))) * K(y,z)). (x * a(y,z,K(u,w))) \ v5 = x \ (v5 * K(u,a(y,z,w))). (x * a(y,z,K(u,w))) \ v5 = x \ (v5 * a(y,z,K(u,w))). (a(x,y,K(z,u)) * w) \ v5 = w \ (v5 * a(x,y,K(z,u))). T(L(T(x,K(y,z)),z,K(y,u)),K(y,z)) = u \ ((u * (x * K(y,z))) * K(y,z)). T(L(T(x,y),z,u),w) != v5 | L(T(T(x,w),y),z,u) = v5. L(T(T(x,K(y,z)),K(y,z)),z,K(y,u)) = u \ ((u * (x * K(y,z))) * K(y,z)). L(x,y,K(z,u)) = u \ ((u * (x * K(z,y))) * K(z,y)). x \ ((x * (y * K(z,u))) * K(z,u)) = L(y,u,K(z,x)). x \ (K(y,z) * ((K(y,z) * x) * u)) = L(u,z,K(y,x)). L(x,K(y,z) * u,K(y,z)) = L(x,z,K(y,u)). L(T(x,y),K(z,u) * y,K(z,u)) != w | T(T(x,K(z,u) * y),K(z,u)) = w. T(T(x,K(y,z) * u),K(y,z)) = L(T(x,u),z,K(y,u)). x != L(T(y,z),u,K(w,z)) | T(y,L(z,u,w)) = x. T(x,L(y,z,u)) = T(T(x,K(u,z) * y),K(u,z)). T(T(x,K(y,z) * u),K(y,z)) = T(x,L(u,z,y)). T(T(x,K(y,z)),K(y,z) * u) = T(x,L(u,z,y)). K(x,T((y * ((y * z) \ y)) \ u,z \ 1)) = K(x,(y * (u / y)) / (z \ y)). K(x,T((y * ((y * z) \ y)) \ u,z)) = K(x,(y * (u / y)) / (z \ y)). x != K(y,z / (u \ w)) | K(y,z * (w \ u)) = x. K(x,(y * (z / y)) * (y \ u)) = K(x,T((y * ((y * u) \ y)) \ z,u)). K(x,T((y * ((y * z) \ y)) \ u,z)) = K(x,(y * (u / y)) * (y \ z)). K(x,T(y,z) * (z \ u)) = K(x,T((z * ((z * u) \ z)) \ y,u)). K(x,T((y * ((y * z) \ y)) \ u,z)) = K(x,T(u,y) * (y \ z)). K(x,T(((y \ (y * z)) / y) * u,z)) = K(x,T(u,y) * (y \ z)). K(x,T((y / z) * u,y)) = K(x,T(u,z) * (z \ y)). K(x,T(y * (1 / z),u)) != w | K(x,T(y / z,u)) = w. K(x,T((y / z) / u,y)) = K(x,T(1 / u,z) * (z \ y)). x \ y != K(z,T((u / w) * v5,u)) | x * K(z,T(v5,w) * (w \ u)) = y. x * K(x,T(y,z) * (z \ u)) = T(x,T((u / z) * y,u)). T(x,T((y / z) * u,y)) = x * K(x,T(u,z) * (z \ y)). K(x,T(((y / z) * y) * u,y * y)) = K(x,T(u,T(z,y)) * (T(z,y) \ (y * y))). K(x,T(y,T(z,u)) * (T(z,u) \ (u * u))) = K(x,T(((u / z) * u) * y,u * u)). x != K(y,T(1 / z,u) * w) | K(y,T(z,u) \ w) = x. K(x,T(y,z) \ (z \ u)) = K(x,T((u / z) / y,u)). K(x,T((y / z) / u,y)) = K(x,T(u,z) \ (z \ y)). T(x,T(y,z) * (z \ u)) = T(x,T((u / z) * y,u)). T(x,T((y / z) * u,y)) = T(x,T(u,z) * (z \ y)). T(x,T((y / z) * u,y)) != w | T(x,T(u,z) * (z \ y)) = w. T(a(x,y,z),(u / w) * v5) = T(a(x,y,z),T(v5,w) * (w \ u)). T(a(x,y,z),T(u,w) * (w \ v5)) = T(a(x,y,z),(v5 / w) * u). T(x,T(y * (y * z),u)) != w | T(x,T((y * y) * z,u)) = w. T(x,T(((y / z) * (y / z)) * u,y)) = T(x,T((y / z) * u,z) * (z \ y)). T(x,T((y / (1 / z)) * u,w)) != v5 | T(x,T((y * z) * u,w)) = v5. T(x,T((y * z) * u,y)) = T(x,T(u,1 / z) * ((1 / z) \ y)). T(x,T(y * z,u)) = T(x,T(z,y \ u) * ((y \ u) \ u)). T(x,T(y,z \ u) * ((z \ u) \ u)) = T(x,T(z * y,u)). T(x,T(a(y / z,u,w),y)) = T(x,T(L((y / z) \ 1,w,u),z) * (z \ y)). T(x,T(L((y / z) \ 1,u,w),z) * (z \ y)) = T(x,T(a(y / z,w,u),y)). T(x,T((y * y) * z,(u * y) * y)) = T(x,T(z,u) * (u \ ((u * y) * y))). T(x,T((((1 / y) * z) \ 1) * u,z \ 1)) = T(x,T(u,y \ 1) * ((y \ 1) \ (z \ 1))). T(x,y * ((z \ u) \ u)) != w | T(x,y * (u * (z / u))) = w. T(x,T(y,z \ u) * (u * (z / u))) = T(x,T(z * y,u)). T(x,T(y,z \ u) * T(z,u)) = T(x,T(z * y,u)). T(x,T(y * y,z) * u) != w | T(x,u * (y * y)) = w. T(x,T(y,z) * (u * u)) = T(x,T(y * (u * u),z)). T(x,T(y * (z * z),u)) = T(x,T(y,u) * (z * z)). T(x,T(y * y,z) * u) != w | T(x,y * (y * u)) = w. T(x,y * (y * T(z,u))) = T(x,T(z * (y * y),u)). T(x,T(y * (z * z),u)) = T(x,z * (z * T(y,u))). T(x,T(y * (y * z),u)) = T(x,y * (y * T(z,u))). T(x,T(y * ((y \ 1) * z),u)) = T(x,y * (y * T((y * y) \ z,u))). T(x,y * (y * T((y * y) \ z,u))) = T(x,T(y * ((y \ 1) * z),u)). T(a(x,y,z),(u \ w) * T(v5,u)) = T(a(x,y,z),(w / u) * v5). T(x,T((y * L(z,z,u)) * w,y)) = T(x,T(w,1 / z) * ((1 / L(z,z,u)) \ y)). T(x,y * (y * T((y * y) \ z,u))) = T(x,T(L(z,y,y),u)). T(x,y * (y * T((y * y) \ z,u))) = T(x,L(T(z,u),y,y)). T(x,y * (y * T((y * y) \ z,u))) != w | T(x,T(z,u)) = w. T(x,T(((y \ z) * (y \ z)) * u,z)) = T(x,T((z / y) * u,y) * (y \ z)). x != T(y,T(a(z,u,w),v5)) | L(y,w,K(z,u)) = x. L(x,y,K(z / u,w)) = T(x,T(L((z / u) \ 1,y,w),u) * (u \ z)). T(x,T(L((y / z) \ 1,u,w),z) * (z \ y)) = L(x,u,K(y / z,w)). T(x,T(L((y / z) \ 1,u,w),z) * (z \ y)) = L(x,u,K(w,y / z)). T(x,L(T((y / z) \ 1,z),u,w) * (z \ y)) = L(x,u,K(w,y / z)). T(x,L(y \ z,u,w) * (z \ y)) = L(x,u,K(w,y / z)). T(x,L(y \ z,u,w) * (z \ y)) != v5 | L(x,u,K(w,z \ y)) = v5. L(x,y,K(z,u \ w)) = L(x,y,K(z,w / u)). L(x,y,K(z,u / w)) = L(x,y,K(z,w \ u)). L(x,y,K(z,(u * w) / (u \ 1))) = L(x,y,K(z,(u * u) * w)). L(x,y,K(z,(u * w) * u)) = L(x,y,K(z,(u * u) * w)). L(x,y,K(z,u * (w * u))) = L(x,y,K(z,(u * u) * w)). L(x,y,K(z,(u * u) * w)) = L(x,y,K(z,u * (w * u))). L(x,y,K(z,u * (u * w))) = L(x,y,K(z,u * (w * u))). L(x,y,K(z,u * (w * u))) = L(x,y,K(z,u * (u * w))). L(x,y,K(z,((1 / u) \ w) * v5)) = L(x,y,K(z,u * (u * (w * (v5 / u))))). L(x,y,K(z,u * (u * (w * (v5 / u))))) = L(x,y,K(z,((1 / u) \ w) * v5)). T(x,T((y * y) * z,y * (y * u))) = T(x,T(z,u) * (u \ ((u * y) * y))). T(x,T((y \ z) * ((y \ z) * u),z)) = T(x,T((z / y) * u,y) * (y \ z)). L(x,y,K(z,u * (u * (w * (v5 / u))))) = L(x,y,K(z,(u * w) * v5)). T(x,T(y * (y * z),y * (y * u))) = T(x,T(z,u) * (u \ ((u * y) * y))). T(x,T(y * ((z \ u) * (z \ u)),u)) = T(x,T((u / z) * y,z) * (z \ u)). T(x,T(y * (y * z),y * (y * u))) = T(x,T(z,u) * T(y * y,u)). T(x,y * (y * T(z,u))) = T(x,T(y * (y * z),y * (y * u))). T(x,T(y * (y * z),y * (y * u))) = T(x,y * (y * T(z,u))). T(x,T(y,z * (z * u))) = T(x,z * (z * T(z \ (z \ y),u))). T(x,y * (y * T(y \ (y \ z),u))) = T(x,T(z,y * (y * u))). T(x,(y * y) * T((y * y) \ z,u)) = T(x,T(z,y * (y * u))). T(x,y * (y * T((y * y) \ z,u))) = T(x,T(z,y * (y * u))). T(x,T(y,z)) = T(x,T(y,u * (u * z))). T(x,T(y,z * (z * u))) = T(x,T(y,u)). T(x,T(y,z * (z * u))) != w | T(x,T(y,u)) = w. T(x,K(y,z * (z * u))) = T(T(x,y),T(y,u)). T(T(x,y),T(y,z)) = T(x,K(y,u * (u * z))). x * y != T(z,T(u,w * (w * v5))) | x \ T(z,T(u,v5)) = y. x \ T(x,T(y,z)) = K(x,T(y,u * (u * z))). K(x,T(y,z * (z * u))) = x \ T(x,T(y,u)). T(x,T(y,z * u)) = T(x,T(y,z \ u)). T(x,T(y,z \ u)) = T(x,T(y,z * u)). T(x,T(y,z * (u * u))) = T(x,T(y,z)). T(T(x,T(y,z * u)),K(y,w)) = T(x,T(T(y,z \ u),w)). T(x,T(y,z * (u * (w * (u * w))))) = T(x,T(y,z)). T(x,K(y,z)) = T(x,K(y,u * (u * z))). T(x,K(y,z * (z * u))) = T(x,K(y,u)). T(x,K(y / z,u)) != w | T(x,K(u,y \ z)) = w. T(x,K(y * (y * z),u \ w)) = T(x,K(u / w,z)). T(x,K(y,z * u)) = T(x,K(y,z \ u)). T(x,K(y,z \ u)) = T(x,K(y,z * u)). K(x,T(y,z)) = K(x,T(y,u * (u * z))). K(x,T(y,z * (z * u))) = K(x,T(y,u)). K(x,T(y,z * u)) = K(x,T(y,z \ u)). K(x,T(y,z \ u)) = K(x,T(y,z * u)). K(x,T(y,z \ (u \ z))) != w | K(x,T(y,u)) = w. K(x,T(y,z)) = K(x,T(y,u * (z \ u))). K(x,T(y,z * (u \ z))) = K(x,T(y,u)). K(x,T(y,z * u)) * T(u,z \ 1) = (z \ u) * ((z \ K(x,y)) \ 1). T(x,T(y,z * (u * u))) != w | T(x,T(y,z)) = w. T(x,T(y,z * (u * z))) = T(x,T(y,u)). T(x,T(y,z * u)) = T(x,T(y,u / z)). T(x,T(y,z / u)) = T(x,T(y,u * z)). T(x,K(y,z / u)) = T(x,K(w * (w * y),z \ u)). T(x,K(y * (y * z),u \ w)) = T(x,K(z,u / w)). x != T(y,K(z,u / w)) | T(y,K(z,w \ u)) = x. T(x,K(y,z \ u)) = T(x,K(w * (w * y),u \ z)). T(x,K(y * (y * z),u \ w)) = T(x,K(z,w \ u)). T(x,K(y,z \ u)) != w | T(x,K(y,z * u)) = w. T(x,K(y * (y * z),u * w)) = T(x,K(z,w \ u)). x != T(y,K(z,u \ w)) | T(y,K(z,u * w)) = x. T(x,K(y,z * u)) = T(x,K(w * (w * y),u * z)). T(x,K(y * (y * z),u * w)) = T(x,K(z,w * u)). T(T(x,T(y,z)),K(y,u)) != w | T(x,T(T(y,z),u)) = w. T(x,T(T(y,z * u),w)) = T(x,T(T(y,z \ u),w)). T(x,T(T(y,z \ u),w)) = T(x,T(T(y,z * u),w)). K(x,T(y,z * u)) * T(u,z \ 1) != w | (z * u) * (K(x,y) * (z \ 1)) = w. (x * y) * (K(z,u) * (x \ 1)) = (x \ y) * ((x \ K(z,u)) \ 1). (x \ y) * ((x \ K(z,u)) \ 1) = (x * y) * (K(z,u) * (x \ 1)). x * ((x * y) * (K(z,u) * (x \ 1))) = (y * (x * (x * K(z,u)))) / x. ((x * (x * y)) * K(z,u)) / x = (y * (x * (x * K(z,u)))) / x. T(x,T((y / z) * u,z) * (z \ y)) != w | T(x,T(u * (y * (z \ (y / z))),y)) = w. (x * x) \ (x * (K(y,z * (1 / x)) * u)) = K(y,x \ z) * ((1 / x) * u). (x * x) \ (x * (K(y,z / x) * u)) = K(y,x \ z) * ((1 / x) * u). (1 / x) * (K(y,z / x) * u) = K(y,x \ z) * ((1 / x) * u). K(x,y \ z) * ((1 / y) * u) = (1 / y) * (K(x,z / y) * u). L(x,(1 / y) * (K(z,u / y) * (w \ 1)),v5) = L(x,K(z,y \ u) * ((1 / y) / w),v5). T(x,K(y,z * (u * u)) * (w * ((u * u) * z))) = T(x,w * T((z * u) * u,y)). L(T(x,(y * y) \ K(z,u)),y \ (y \ 1),K(z,u)) = T(L(x,y,y),K(z,u)). L(T(x,y \ (y \ K(z,u))),y \ (y \ 1),K(z,u)) = T(L(x,y,y),K(z,u)). T(x,y \ (y \ K(z,u))) = T(L(x,y,y),K(z,u)). x != T(L(y,z,u),w) | L(T(y,w),z,u) = x. L(T(x,K(y,z)),u,u) = T(x,u \ (u \ K(y,z))). T(x,y \ (y \ K(z,u))) = L(T(x,K(z,u)),y,y). ((x * y) \ T(y,z)) * (T(y,z) / (x * y)) != u | (y / x) / (x * y) = u. (x / y) / (y * x) = (y * (x * (y * K(x,z)))) \ T(x,z). (x * (y * (x * K(y,z)))) \ T(y,z) = (y / x) / (x * y). (x * (y * (x * K(y,z)))) \ T(y,z) != u | ((T(y,z) * x) \ y) * (T(y,z) / (y * x)) = u. ((T(x,y) * z) \ x) * (T(x,y) / (x * z)) = (x / z) / (z * x). ((x * y) \ T(x,z)) * (T(x,z) / (x * y)) = (x / y) / (y * x). (x \ T(y,z)) * (T(y,z) / x) != u | (x \ y) * (y / x) = u. ((x * y) \ x) * (x / (x * y)) = (x / y) / (y * x). ((x * y) \ x) * (x / (x * y)) != z | (x * y) \ (y \ x) = z. (x * y) \ (y \ x) = (x / y) / (y * x). (x / y) / (y * x) = (x * y) \ (y \ x). x != (y * z) \ (z \ y) | z \ (y \ (z \ y)) = x. x \ (y \ (x \ y)) = (y / x) / (x * y). (x / y) / (y * x) = y \ (x \ (y \ x)). T(x,T(y,z) * (a(y \ 1,T(u,z),w) * v5)) = T(x,L(T(y,y \ z),w,u) * v5). x != K(y,T(z,u * u)) | K(y,z) = x. K(x,((y / z) * y) * u) = K(x,T(u,T(z,y)) * (T(z,y) \ (y * y))). K(x,T(y,T(z,u)) * (T(z,u) \ (u * u))) = K(x,((u / z) * u) * y). x != K(y,((z / u) * z) * w) | K(y,(z * (u \ z)) * w) = x. K(x,(y * (z \ y)) * u) = K(x,T(u,T(z,y)) * (T(z,y) \ (y * y))). K(x,T(y,T(z,u)) * (T(z,u) \ (u * u))) = K(x,(u * (z \ u)) * y). K(x,T(y,T(z,u)) * (u * (z \ u))) = K(x,(u * (z \ u)) * y). T(x,T((y * L(z,z,u)) * w,y)) = T(x,T(w,z \ 1) * ((1 / L(z,z,u)) \ y)). T(x,y * (z * ((u * u) * w))) != v5 | T(x,y * (z * (u * (u * w)))) = v5. T(x,K(y,z * (u * u)) * (w * (u * (u * z)))) = T(x,w * T((z * u) * u,y)). T(x,K(y,z) * (L(y,u,T(w,z)) * v5)) = T(x,L(T(y,y \ z),u,w) * v5). x != T(y,z * ((1 / u) \ w)) | T(y,z * (u * w)) = x. T(x,T(y,z \ 1) * (L(z,z,u) * w)) = T(x,T((w * L(z,z,u)) * y,w)). T(x,T((y * L(z,z,u)) * w,y)) = T(x,T(w,z \ 1) * (L(z,z,u) * y)). x != T(y,z * (L(u,u,w) * v5)) | T(y,z * (u * v5)) = x. T(x,T(y,z \ 1) * (z * u)) = T(x,T((u * L(z,z,w)) * y,u)). T(x,T((y * L(z,z,u)) * w,y)) = T(x,T(w,z \ 1) * (z * y)). x != T(y,T(z,u \ 1) * w) | T(y,T(z,u) * w) = x. T(x,T(y,z) * (z * u)) = T(x,T((u * L(z,z,w)) * y,u)). T(x,T((y * L(z,z,u)) * w,y)) = T(x,T(w,z) * (z * y)). T(x,K(y,z * (u * u)) * (w * (z * (u * u)))) = T(x,w * T((z * u) * u,y)). T(x,K(y,z) * (u * z)) != w | T(x,u * T(z,y)) = w. T(x,y * T(z * (u * u),w)) = T(x,y * T((z * u) * u,w)). T(x,y * T((z * u) * u,w)) = T(x,y * T(z * (u * u),w)). T(x,y * (T(z,u) * (u * (w * w)))) != v5 | T(x,y * ((u * (w * w)) * z)) = v5. T(x,K(y,z * (u * u)) * ((z * (u * u)) * w)) = T(x,T(w,z) * T((z * u) * u,y)). K(x,L((y / z) / (1 / (u / w)),w / u,z)) = K(x,y / ((1 / (u / w)) * z)). K(x,L(y / (z / u),w,v5)) != v6 | K(x,L(y * (u / z),w,v5)) = v6. K(x,L((y / z) * ((u / w) / 1),w / u,z)) = K(x,y / ((1 / (u / w)) * z)). K(x,L((y / z) * (u / w),w / u,z)) = K(x,y / ((1 / (u / w)) * z)). x != K(y,z / ((1 / u) * w)) | K(y,z * (w \ u)) = x. K(x,y * (z \ (u / w))) = K(x,L((y / z) * (u / w),w / u,z)). K(x,L((y / z) * (u / w),w / u,z)) = K(x,y * (z \ (u / w))). K(x,L((y / z) / ((u * (w \ 1)) \ 1),w * (u \ 1),z)) = K(x,y / (((u * (w \ 1)) \ 1) * z)). T(x * T(y,K(z,u)),K(z,L(u,y,x))) = y * T(x,K(z,u) * y). x * y != T(z,K(u,L(w,v5,v6))) | x \ T(z,K(u,w)) = y. x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,K(z,u) * x). x != T(y,K(z,u) * w) | T(y,K(u,z) * w) = x. T(x,K(y,z) * u) = u \ T(x * T(u,K(z,y)),K(z,y)). x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,K(u,z) * x). x \ T(y * T(x,K(z,u)),K(u,z)) = T(y,K(u,z) * x). x \ T(y * x,K(z,a(u,w,v5))) = T(y,K(z,a(u,w,v5)) * x). x \ T(y * T(x,K(z,u)),K(z,R(u,w,v5))) = T(y,K(z,R(u,w,v5)) * x). x \ T(y * x,K(z,K(u,w))) = T(y,K(K(u,w),z) * x). x * T(y,K(z,u) * x) = T(y * T(x,K(u,z)),K(z,u)). T(x * T(y,K(z,u)),K(u,z)) = y * T(x,K(u,z) * y). x \ (y * x) = T(y,K(K(z,u),w) * x). T(x,K(K(y,z),u) * w) = w \ (x * w). T(x,y) = T(x,K(K(z,u),w) * y). T(x,K(K(y,z),u) * w) = T(x,w). T(x,y * K(z,K(u,w))) = T(x,y). T(x,K(y,K(z,u)) * w) = T(x,w). T(x,y * T(z,K(u,w))) = T(x,y * z). T(x,K(y,z) * (z * u)) != w | T(x,T(z,y) * u) = w. T(x,T(y,K(z,u)) * w) = T(x,y * w). T(x,y \ z) = T(x,y \ T(z,K(u,w))). T(x,y \ T(z,K(u,w))) = T(x,y \ z). T(x,y / z) = T(x,T(y,K(u,w)) / z). T(x,T(y,K(z,u)) / w) = T(x,y / w). x \ T(x,y) = K(x,K(z,K(u,w)) * y). K(x,K(y,K(z,u)) * w) = x \ T(x,w). T(x,K(y,T(z,u)) * w) = T(x,K(y,z) * w). T(x,y * z) = T(x,y * (K(u,K(w,v5)) * z)). T(x,y * (K(z,K(u,w)) * v5)) = T(x,y * v5). T(x,(K(y,z) * u) * w) = T(x,(u * K(y,z)) * w). T(x,y * (z * K(u,w))) = T(x,y * (K(u,w) * z)). T(x,y * (K(z,u) * w)) = T(x,y * (w * K(z,u))). T(x,y * (z * K(u,K(w,v5)))) = T(x,y * z). T(x,y * ((z \ u) * (z \ u))) != w | T(x,y * (u * (z \ (u / z)))) = w. T(x,K(y,K(z,u)) * (w * (v5 \ (w / v5)))) = T(x,(v5 \ w) * (v5 \ w)). T(x,y * T(y,K(z,u))) != w | L(x,y * K(z,u),y * K(z,u)) = w. L(x,y * K(z,u),y * K(z,u)) = T(x,y * y). T(x,y * T(z / u,z)) != w | T(x,y * (u \ z)) = w. T(x,y * (z \ K(u,w))) = T(x,y * (K(u,w) / z)). T(x,y * (K(z,u) / w)) = T(x,y * (w \ K(z,u))). T(x,y * T(z,T(u,w))) = T(x,y * T(z,u)). T(x,y * (z \ (u * K(w,v5)))) = T(x,y * ((z * K(w,v5)) \ u)). T(x,y * ((z * K(u,w)) \ v5)) = T(x,y * (z \ (v5 * K(u,w)))). T(x,T(y,z / u) * w) = T(x,T(y,u \ z) * w). T(x,K(y,z) * (u * w)) = T(x,u * (K(y,z) * w)). T(x,y \ T(z,T(u,w))) = T(x,y \ T(z,u)). T(x,T(y,K(z,u) * w)) = T(x,w \ (y * T(w,K(z,u)))). T(x,y \ (z * T(y,K(u,w)))) = T(x,T(z,K(u,w) * y)). T(x,T(y,T(z,u)) / w) = T(x,T(y,z) / w). K(x,y) = K(x,K(z,K(u,w)) * y). K(x,K(y,K(z,u)) * w) = K(x,w). K(x,K(y,K(z,u)) * w) != v5 | K(x,w) = v5. K(x,K(y,z) * (u / y)) != w | K(x,u / T(y,z)) = w. K(x,y / T(z,K(u,w))) = K(x,y / z). K(x,y * T(z,K(u,w))) = K(x,y * z). K(x,y \ T(z,K(u,w))) = K(x,y \ z). K(x,T(y,T(z,u)) * w) = K(x,T(y,z) * w). K(x,y * (z * K(u,K(w,v5)))) = K(x,y * z). K(x,y / T(z,T(u,w))) = K(x,y / T(z,u)). K(x,y * T(z / u,z)) != w | K(x,y * (u \ z)) = w. K(x,y * (z \ K(u,w))) = K(x,y * (K(u,w) / z)). K(x,y * (K(z,u) / w)) = K(x,y * (w \ K(z,u))). K(x,y * T(z,u / w)) = K(x,y * T(z,w \ u)). K(x,y \ T(z * u,z)) != w | K(x,y \ (u * z)) = w. K(x,y \ (z * K(u,w))) = K(x,y \ (K(u,w) * z)). K(x,y \ (K(z,u) * w)) = K(x,y \ (w * K(z,u))). K(x,K(y,T(z,u)) * w) != v5 | K(x,K(y,z) * w) = v5. T(x,y * K(z,T(u,w))) = T(x,K(z,u) * y). T(x,y * (K(z,T(u,w)) * v5)) = T(x,y * (K(z,u) * v5)). T(x,y * (T(z,T(u,w)) * v5)) = T(x,y * (T(z,u) * v5)). T(x,y * (z * (u * K(w,v5)))) = T(x,y * (z * (K(w,v5) * u))). T(x,y * (z * (K(u,w) * v5))) = T(x,y * (z * (v5 * K(u,w)))). T(x,y * (z \ K(u,T(w,v5)))) = T(x,y * (z \ K(u,w))). T(x,K(y,T(T(z,u),w)) * T(z,T(w,u))) != v5 | T(x,K(z,u) * T(T(T(z,u),w),y)) = v5. T(x,K(y,z) * T(T(T(y,z),u),w)) = T(x,K(w,T(T(y,z),u)) * T(y,u)). T(x,K(y,T(T(z,u),w)) * T(z,w)) = T(x,K(z,u) * T(T(T(z,u),w),y)). T(x,y \ (T(z,u) \ w)) = T(x,y \ T(w / T(z,u),z)). T(x,y \ T(z / T(u,w),u)) = T(x,y \ (T(u,w) \ z)). T(x,(y * (z / y)) \ u) = T(x,T(u,z) / (y * (z / y))). T(x,T(y,z) / (u * (z / u))) = T(x,(u * (z / u)) \ y). T(x,T(y,z) \ u) = T(x,T(u,y) / T(y,z)). T(x,T(y,z) / T(z,u)) = T(x,T(z,u) \ y). K(x,T(y,T(z,u)) * (u * (z \ u))) != w | K(x,(u * (z \ u)) * y) = w. K(x,(y * (z \ y)) * u) = K(x,T(u,z) * (y * (z \ y))). K(x,T(y,z) * (u * (z \ u))) = K(x,(u * (z \ u)) * y). K(x,(y * K(z,K(u,w))) * v5) = K(x,y * v5). K(x,T(y,z * x) / T(z \ 1,T(y * z,z * x))) != u | K(x,y / (z \ 1)) = u. K(x,y / (z \ 1)) = K(x,T(y,z * x) / T(z \ 1,y * z)). K(x,T(y,z * x) / T(z \ 1,y * z)) = K(x,y / (z \ 1)). T(x,T(K(y,z) * u,w)) = T(x,K(y,z) * T(u,w)). K(x,(y / z) * u) = K(x,(y / T(z,K(w,v5))) * u). K(x,(y / T(z,K(u,w))) * v5) = K(x,(y / z) * v5). L(x,y,y) = L(x,y * K(z,u),y * K(z,u)). L(x,y * K(z,u),y * K(z,u)) = L(x,y,y). L(x,y,y) * (K(z,z \ 1) * y) = T((y * K(z,z \ 1)) * x,y * K(z,z \ 1)). T((x * K(y,y \ 1)) * z,x * K(y,y \ 1)) = L(z,x,x) * (K(y,y \ 1) * x). x != T(y,z * (u * K(w,v5))) | T(y,(K(w,v5) * z) * u) = x. T(x,(K(y,z) * u) * w) = T(x,u * (K(y,z) * w)). T(x,(y \ K(z,u)) * (K(z,u) * w)) != v5 | T(x,y \ w) = v5. T(x,y \ z) = T(x,(y \ K(u,w)) * (z * K(u,w))). T(x,(y \ K(z,u)) * (w * K(z,u))) = T(x,y \ w). T(x,y \ (K(z,u) / w)) = T(x,(1 / y) * (w \ K(z,u))). T(x,(1 / y) * (z \ K(u,w))) = T(x,y \ (K(u,w) / z)). T(x,y * (K(z,T(u,w)) / (v5 * w))) != v6 | T(x,y * (w \ (K(z,u) / v5))) = v6. T(x,y * (z \ (K(u,w) / v5))) = T(x,y * ((v5 * z) \ K(u,T(w,z)))). T(x,y * ((z * u) \ K(w,T(v5,u)))) = T(x,y * (u \ (K(w,v5) / z))). T(T(x,y * (z \ K(u,w))),K(v5,y * (K(u,w) / z))) = T(x,T(y * (K(u,w) / z),v5)). T(T(x,K(y,z)),K(y,z) * u) != w | T(x,L(u,z,y)) = w. T(x,L(y * z,u,w)) = T(T(x,K(w,u)),y * (K(w,u) * z)). T(T(x,K(y,z)),u * (K(y,z) * w)) = T(x,L(u * w,z,y)). T(x,K(y,z) * (u * (y * w))) = T(x,u * (T(y,z) * w)). K(x,y \ ((K(z,u) * w) * v5)) = K(x,y \ ((w * v5) * K(z,L(u,w,v5)))). K(x,y \ ((z * u) * K(w,L(v5,z,u)))) = K(x,y \ ((K(w,v5) * z) * u)). T(x,T(T(y * z,z) / u,w)) = T(x,K(y,z \ 1) * T((y * z) / u,w)). T(x,K(y,z \ 1) * T((y * z) / u,w)) = T(x,T(T(y * z,z) / u,w)). T(x,T(T(y,T(z,u)),w)) = T(x,K(y,u) * T(T(T(y,u),z),w)). T(x,K(y,z) * T(T(T(y,z),u),w)) = T(x,T(T(y,T(u,z)),w)). K(x,(K(y,z) / u) * w) != v5 | K(x,(u * K(y,z)) \ w) = v5. K(x,(T(y,K(z,u)) * K(w,v5)) \ v6) = K(x,(K(w,v5) / y) * v6). T(x,(K(y,z) * u) * w) != v5 | T(x,(u * K(y,z)) * w) = v5. T(x,(y * K(z,u)) * w) = T(x,y * (K(z,u) * w)). T(x,(K(y,z) * u) * (K(y,T(z,w)) * v5)) = T(x,u * (K(y,K(z,w)) * v5)). T(x * T(y,K(z,u) * x),K(u,z)) = y * T(x,K(u,z)). T(x,T(y,z) * K(z,K(u,w))) = T(x,T(y,K(u,w) * z)). T(x,y * (K(z,u) * w)) != v5 | T(x,y * (w * K(z,u))) = v5. T(x,y * (z * K(u,T(w,v5)))) = T(x,y * (K(u,w) * z)). T(x,y * (z \ (K(u,w) * v5))) = T(x,y * (K(u,w) * (z \ v5))). x * K(x,y * (z \ K(u,w))) = T(x,y * (z \ K(u,T(w,v5)))). T(x,y * (z \ K(u,T(w,v5)))) = x * K(x,y * (z \ K(u,w))). T(x,y \ ((z \ u) * K(z,w))) = T(x,y \ (T(z,w) \ u)). T(x,y / (z * (u / z))) != w | T(x,y / T(u,z)) = w. T(x,T(y,z) / T(z,u)) = T(x,(u * (z / u)) \ y). T(x,(y * (z / y)) \ u) = T(x,T(u,z) / T(z,y)). x != T(y,T(z,u) / T(u,w)) | T(y,T(u,w) \ z) = x. T(x,T(y,z) \ u) = T(x,(z * (y / z)) \ u). T(x,(y * (z / y)) \ u) = T(x,T(z,y) \ u). T(x,(y * z) \ u) = T(x,T(z * y,y) \ u). T(x,T(y * z,z) \ u) = T(x,(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))). K(x,(y * ((z \ 1) \ u)) * w) != v5 | K(x,(y * (z * u)) * w) = v5. K(x,(y * (z * y)) * u) = K(x,y * ((z \ 1) \ (y * u))). K(x,y * ((z \ 1) \ (y * u))) = K(x,(y * (z * y)) * u). T(x,y \ (z \ K(u,w))) = T(x,y \ (K(u,w) / z)). T(x,y \ (K(z,u) / w)) = T(x,y \ (w \ K(z,u))). T(x,y \ (K(z,u) / (1 / w))) = T(x,y \ (T(K(z,u),w \ 1) * w)). T(x,y \ (T(K(z,u),w \ 1) * w)) = T(x,y \ (K(z,u) / (1 / w))). T(x,a(y,z,K(u,w)) * (v5 * (a(y,z,u) * v6))) = T(x,v5 * (T(a(y,z,u),w) * v6)). T(x * T(y,x * K(z,u)),K(z,u)) = y * T(x,K(z,u)). T(x,y * K(z,K(u,w))) != v5 | T(x,y) = v5. T(x,T(y,z)) = T(x,T(y,K(u,w) * z)). T(x,T(y,K(z,u) * w)) = T(x,T(y,w)). T(x,T(y,z * K(u,w))) = T(x,T(y,z)). T(x,T(y,z * T(u,w))) = T(x,T(y,z * u)). T(x,T(y,z * (u * T(w,v5)))) = T(x,T(y,z * (u * w))). T(x,T(y,T(z,u) * w)) = T(x,T(y,w * z)). K(x,y * ((1 \ z) * (y * u))) = K(x,(y * (z * y)) * u). x * K(x,T(y,z * (u * w))) = T(x,T(y,z * (u * T(w,v5)))). T(x,T(y,z * (u * T(w,v5)))) = x * K(x,T(y,z * (u * w))). 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))) * (x * w) = T(x,(y * (z * y)) * u) * w. T(T(x,K(y,z)),u * (w * K(y,z))) = T(x,L(u * w,z,y)). T(a(x,y,z),u * (w * K(v5,v6))) = T(a(x,y,z),L(u * w,v6,v5)). x \ (y * x) = T(y,K(z,a(u,w,v5)) * x). T(x,K(y,a(z,u,w)) * v5) = v5 \ (x * v5). T(x,y) = T(x,K(z,a(u,w,v5)) * y). T(x,K(y,a(z,u,w)) * v5) = T(x,v5). T(x,a(y,z,K(u,w)) * v5) = T(x,v5). T(x,y * a(z,u,K(w,v5))) = T(x,y). x * y != T(z,u * a(w,v5,K(v6,v7))) | x \ T(z,u) = y. x \ T(x,y) = K(x,y * a(z,u,K(w,v5))). K(x,y * a(z,u,K(w,v5))) = x \ T(x,y). K(x,y) = K(x,y * a(z,u,K(w,v5))). K(x,y * a(z,u,K(w,v5))) = K(x,y). K(x,a(y,z,K(u,w)) * v5) = K(x,v5). K(x,K(a(y,z,u),w) * v5) = K(x,v5). K(x,K(y,z) * u) = K(x,K(y,L(z,w,v5)) * u). K(x,K(y,L(z,u,w)) * v5) = K(x,K(y,z) * v5). K(x,y * K(z,L(u,w,v5))) = K(x,K(z,u) * y). K(x,y * K(z,u)) = K(x,y * K(u,L(z,w,v5))). K(x,y * K(z,L(u,w,v5))) = K(x,y * K(u,z)). K(x,y * K(z,L(u,w,v5))) != v6 | K(x,y * K(u,z)) = v6. K(x,y * K(z,L(u,w,v5))) != v6 | K(x,K(z,u) * y) = v6. K(x,K(y,L(z,u,w)) * v5) != v6 | K(x,K(y,z) * v5) = v6. T(x,y * ((z * K(u,w)) \ v5)) != v6 | T(x,y * ((K(u,w) / z) * v5)) = v6. T(x,y * ((K(z,u) / w) * v5)) = T(x,y * (w \ (v5 * K(z,u)))). T(x,y * (z \ (u * K(w,v5)))) = T(x,y * ((K(w,v5) / z) * u)). T(x,y * (z * (K(u,w) * (u * v5)))) = T(x,y * (z * (u * (v5 * K(u,w))))). K(x,(y \ K(y * x,z)) \ z) = K(x,z / (y \ 1)). K(x,(y \ K(z,u)) \ w) != v5 | K(x,(K(u,z) * y) * w) = v5. K(x,(K(y,z * x) * z) * y) = K(x,y / (z \ 1)). K(x,(y * K(z,x * y)) * z) = K(x,z / (y \ 1)). K(x,y * T(z,x * y)) = K(x,z / (y \ 1)). x != K(y,z / (u \ 1)) | K(y,z * u) = x. K(x,y * z) = K(x,z * T(y,x * z)). K(x,y * T(z,x * y)) = K(x,z * y). x \ y != K(z,u * T(w,z * u)) | x * K(z,w * u) = y. x * K(x,y * z) = T(x,z * T(y,x * z)). T(x,y * T(z,x * y)) = x * K(x,z * y). T(x,y * z) = T(x,z * T(y,x * z)). T(x,y * T(z,x * y)) = T(x,z * y). T(x,K(y,z) * u) != w | u \ T(x * T(u,K(y,z)),K(y,z)) = w. T(x,y * K(z,u)) \ T(y * T(T(x,y * K(z,u)),K(z,u)),K(z,u)) = T(y,x * K(z,u)). K(x,(T(y,K(z,u)) \ w) * K(v5,v6)) = K(x,(K(v5,v6) / y) * w). T(x,y * (((z \ 1) * u) \ (K(w,v5) * 1))) = T(x,y * (K(w,v5) * ((u \ 1) / (1 / z)))). T(x,y * (z \ K(u,T(w,v5)))) != v6 | T(x,y * (z \ K(u,w))) = v6. K(x,T(y,z * (u * T(w,v5)))) = K(x,T(y,z * (u * w))). K(x,T(y,z * u)) = K(x,T(y,z * ((u / T(w,v5)) * w))). K(x,T(y,z * ((u / T(w,v5)) * w))) = K(x,T(y,z * u)). K(x,T(y,z * T(u,w))) = K(x,T(y,z * u)). K(x,T(y,z * (u * K(w,v5)))) = K(x,T(y,z * u)). x != K(y,T(z,u * w)) | K(y,T(z,w * u)) = x. K(x,T(y,z * u)) = K(x,T(y,u * T(z,w))). K(x,T(y,z * T(u,w))) = K(x,T(y,u * z)). K(x,T(y,z * (u \ w))) = K(x,T(y,z * (w / u))). K(x,T(y,z * (u / w))) = K(x,T(y,z * (w \ u))). K(x,T(y,z)) = K(x,T(y,K(u,w) * z)). K(x,T(y,K(z,u) * w)) = K(x,T(y,w)). x * K(y,T(z,K(u,w) * x)) = K(y,z) * x. x * T(K(y,z),K(u,w) * x) = K(y,z) * x. T(K(x,y) * z,K(u,w)) = K(x,y) * T(z,K(u,w)). K(x,T(y,z * (z / u))) != w | K(x,T(y,z \ (z \ u))) = w. K(x,T(y,z \ (z \ u))) = K(x,T(y,z * (u \ z))). K(x,T(y,z * (u \ z))) * (u / z) = ((z * z) \ u) * (K(x,y) * z). L(x,y \ z,y \ z) = T(x,K(u,K(w,v5)) * (z * (y \ (z / y)))). T(x,K(y,K(z,u)) * (w * (v5 \ (w / v5)))) = L(x,v5 \ w,v5 \ w). T(x,K(y,K(z,u)) * w) != v5 | T(x,w) = v5. T(x,y * (z \ (y / z))) = L(x,z \ y,z \ y). x * y != T(z,u * (w \ (u / w))) | x \ L(z,w \ u,w \ u) = y. x \ L(x,y \ z,y \ z) = K(x,z * (y \ (z / y))). L(x,y \ x,y \ x) \ 1 = T(x \ 1,y \ (x / y)). T(L(x,y \ z,y \ z),K(u,z * (y \ (z / y)))) = T(x,T(z * (y \ (z / y)),u)). a(x,y \ z,y \ z) = K(x,z * (y \ (z / y))). K(x,y * (z \ (y / z))) = a(x,z \ y,z \ y). (x * ((y \ x) \ 1)) \ 1 = T(y \ 1,x \ (y / x)). T(x \ 1,y \ (x / y)) = (y * ((x \ y) \ 1)) \ 1. x != (y * ((z \ y) \ 1)) \ 1 | 1 / L(z,y,y) = x. 1 / L(x,y,y) = T(x \ 1,y \ (x / y)). T(x \ 1,y \ (x / y)) = 1 / L(x,y,y). x \ y != T(z \ 1,u \ (z / u)) | x * (1 / L(z,u,u)) = y. x * (1 / L(x,y,y)) = K(y \ (x / y),x \ 1). K(x \ (y / x),y \ 1) = y * (1 / L(y,x,x)). K(x,y * (y / x)) = K(y \ (x / y),x \ 1). K(x \ (y / x),y \ 1) = K(y,x * (x / y)). K(x,x * (y \ (x / y))) = K(x,y * (y / x)). K(x,y * (z \ (y / z))) != u | a(x,z \ y,z \ y) = u. a(x,y \ x,y \ x) = K(x,y * (y / x)). K(x,y * (x \ y)) = a(x,y \ x,y \ x). a(x,y \ x,y \ x) = K(x,y * (x \ y)). L((x \ y) \ 1,(x \ y) \ 1,x) \ 1 = K(y,x * (y \ x)) / ((x \ y) \ 1). T(x,y * (z \ (K(u,w) / v5))) != v6 | T(x,y * ((v5 * z) \ K(u,w))) = v6. T(x,y \ (T(K(z,u),w \ 1) * w)) = T(x,y \ ((w \ K(z,u)) \ 1)). T(x,y * (z * (y * u))) = T(x,(y * (z * y)) * u). T(x,(y * (z * y)) * u) = T(x,y * (z * (y * u))). T(x,((y / z) * (u * (y / z))) * w) != v5 | T(x,(y * (((1 / z) * u) * ((z / y) \ 1))) * w) = v5. T(x,(y * (((1 / z) * u) * ((z / y) \ 1))) * w) = T(x,(y / z) * (u * ((y / z) * w))). T(x,(y * (z * y)) * u) != w | T(x,((y * z) * y) * u) = w. T(x,((y * z) * y) * u) = T(x,y * (z * (y * u))). T(x,(y * z) * u) = T(x,z * ((z \ y) * (z * u))). T(x,y * ((y \ z) * (y * u))) = T(x,(z * y) * u). T(x,y * ((z \ (z / u)) * w)) != v5 | T(x,y * (u \ w)) = v5. T(x,y * (z \ (y * u))) = T(x,((y / z) * y) * u). T(x,((y / z) * y) * u) = T(x,y * (z \ (y * u))). T(x,y * ((y \ z) * u)) = T(x,(z * y) * (y \ u)). T(x,(y * z) * (z \ u)) = T(x,z * ((z \ y) * u)). T(x,y * ((y \ z) * (u * y))) = T(x,(z * y) * T(u,y)). T(x,((y / z) * y) * u) != w | T(x,(y * (z \ y)) * u) = w. T(x,(y * (z \ y)) * u) = T(x,y * (z \ (y * u))). x != T(y,z * ((u \ T(w,u)) * v5)) | T(y,z * ((w / u) * v5)) = x. T(x,y * ((z / y) * u)) = T(x,(T(z,y) * y) * (y \ u)). T(x,(T(y,z) * z) * (z \ u)) = T(x,z * ((y / z) * u)). T(x,(y * z) / ((u * w) * z)) = T(x,z * ((z \ y) * (w \ (1 / u)))). T(x,y * ((y \ z) * (u \ (1 / w)))) = T(x,(z * y) / ((w * u) * y)). T(x,((y * z) * z) * (y \ u)) = T(x,y * ((y \ (z * z)) * u)). T(x,(((y / z) * y) * z) * (z \ u)) = T(x,z * (((z \ y) * (z \ y)) * u)). T(x,(y * (z \ y)) * u) != w | T(x,((z \ y) * T(y,z)) * u) = w. T(x,((y \ z) * T(z,y)) * u) = T(x,z * (y \ (z * u))). T(T(x,y * (z \ (y * u))),K(w,(y * (z \ y)) * u)) = T(x,T((y * (z \ y)) * u,w)). T(x,(y * z) * (y \ u)) = T(x,y * ((z / y) * u)). T(x,(T(y,z) * T(u,y)) * (T(y,z) \ w)) = T(x,T(y,z) * ((((1 / y) * u) * K(y,z)) * w)). T(x,T(y,z) * ((((1 / y) * u) * K(y,z)) * w)) = T(x,(T(y,z) * T(u,y)) * (T(y,z) \ w)). x != T(y,z \ ((u \ K(w,v5)) \ 1)) | T(y,(z \ K(w,v5)) * u) = x. T(x,(y \ K(z,u)) * w) = T(x,y \ (T(K(z,u),w \ 1) * w)). T(x,y \ (T(K(z,u),w \ 1) * w)) = T(x,(y \ K(z,u)) * w). T(x,y \ (K(z,T(u,w)) * w)) = T(x,(y \ K(z,u)) * w). T(x,y \ (z * K(u,w))) = T(x,(y \ K(u,w)) * z). T(x,(y / z) \ (u * K(w,z / y))) != v5 | T(x,((z / y) * u) * K(z / y,w)) = v5. T(x,((y / z) * u) * K(y / z,w)) = T(x,((z / y) \ K(w,y / z)) * u). T(x,((y / z) \ K(u,z / y)) * w) = T(x,((z / y) * w) * K(z / y,u)). T(x,(y \ z) \ (u * K(w,z \ y))) != v5 | T(x,((z \ y) * u) * K(z \ y,w)) = v5. T(x,((y \ z) * u) * K(y \ z,w)) = T(x,((z \ y) \ K(w,y \ z)) * u). T(x,((y \ z) \ K(u,z \ y)) * w) = T(x,((z \ y) * w) * K(z \ y,u)). K(x,y \ (z * (T(u,z) * K(w,v5)))) = K(x,y \ ((K(w,v5) * u) * z)). x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,K(z,R(u,w,v5)) * x). T(x,K(y,R(z,u,w)) * v5) = v5 \ T(x * T(v5,K(y,z)),K(y,z)). x != y \ T(z * T(y,K(u,w)),K(u,w)) | T(z,K(u,w) * y) = x. T(x,K(y,z) * u) = T(x,K(y,R(z,w,v5)) * u). T(x,K(y,R(z,u,w)) * v5) = T(x,K(y,z) * v5). T(x,K(y,L(z,u,w)) * v5) = T(x,K(y,z) * v5). x != T(y,K(z,u) * (w * (z * v5))) | T(y,w * (T(z,u) * v5)) = x. T(x,y * (T(z,u) * w)) = T(x,K(z,L(u,v5,v6)) * (y * (z * w))). T(x,K(y,L(z,u,w)) * (v5 * (y * v6))) = T(x,v5 * (T(y,z) * v6)). T(x,K(y,z) * (u * (y * w))) != v5 | T(x,u * (T(y,z) * w)) = v5. T(x,y * (T(z,L(u,w,v5)) * v6)) = T(x,y * (T(z,u) * v6)). T(x,T(T(y,z),T(u,w))) = T(x,K(y,w) * T(T(T(y,w),z),u)). T(x,K(y,z) * T(T(T(y,z),u),w)) = T(x,T(T(y,u),T(w,z))). T(x,K(y,z) * T(T(T(y,z),u),w)) != v5 | T(x,T(T(y,u),w)) = v5. T(x,T(T(y,T(z,u)),w)) != v5 | T(x,T(T(y,z),w)) = v5. T(x,K(y,z \ 1) * u) != w | T(x,K(y,z) * u) = w. T(x,K(y,z) * T((y * z) / u,w)) = T(x,T(T(y * z,z) / u,w)). x != T(y,z * (K(u,K(w,v5)) * v6)) | T(y,z * v6) = x. T(x,y * z) = T(x,(K(u,w) * y) * (K(u,T(w,v5)) * z)). T(x,(K(y,z) * u) * (K(y,T(z,w)) * v5)) = T(x,u * v5). L(x,y,y) = T(x,(K(z,u) * y) * (K(z,T(u,w)) * y)). T(x,(K(y,z) * u) * (K(y,T(z,w)) * u)) = L(x,u,u). T(x,y * (K(z,T(u,w)) * v5)) != v6 | T(x,y * (K(z,u) * v5)) = v6. T(x,(K(y,z) * u) * (K(y,z) * u)) = L(x,u,u). L(x,K(y,z) * u,K(y,z) * u) = L(x,u,u). x \ y != L(z,K(u,w) * v5,K(u,w) * v5) | x * L(z,v5,v5) = y. ((K(x,y) * z) \ 1) * L(u,z,z) = (K(x,y) * z) \ u. L(x,T(y,z) * u,K(y,z) * (y * u)) = L(x,y * u,y * u). L(x,y * (K(z,u) * w),K(z,T(u,y)) * (y * w)) = L(x,y * w,y * w). (x \ K(y,z)) * L(u,x,x) = (K(y,z) * x) \ u. (x \ y) * K(z,u) = (K(z,T(u,y)) * x) \ y. (K(x,T(y,z)) * u) \ z = (u \ z) * K(x,y). (K(x,y) * z) \ u = (z \ u) * K(x,T(y,u)). (x \ y) * K(z,T(u,y)) = (K(z,u) * x) \ y. (K(x,K(y,z)) * u) \ w = (u \ w) * K(x,K(y,z)). (x \ y) * T(K(z,u),y) = (K(z,u) * x) \ y. T(x,y * (((z \ u) * K(w,T(v5,u))) * v6)) = T(x,y * (((z \ K(w,v5)) * u) * v6)). T(x,(K(y,z) * u) \ w) = T(x,K(y,z) * (u \ w)). ((x \ y) * K(z,u)) * K(y,K(z,u)) = (K(z,u) * x) \ y. x != y * K(z,K(u,w)) | K(z,K(u,w)) * y = x. K(x,K(y,z)) * (u \ w) = (K(x,K(y,z)) * u) \ w. (K(x,K(y,z)) * u) \ w = K(x,K(y,z)) * (u \ w). (K(x,T(y,z)) * u) \ w = ((K(x,y) * u) \ w) * K(x,K(y,z)). ((K(x,y) * z) \ u) * K(x,K(y,w)) = (K(x,T(y,w)) * z) \ u. T(x,(y \ K(z,u)) * w) = T(x,K(z,u) * (y \ w)). (x * (K(y,K(z,u)) * w)) \ v5 = K(y,K(z,u)) * ((x * w) \ v5). T(x,(y \ K(z,u)) * (w * K(z,u))) != v5 | T(x,y \ w) = v5. T(x,y \ z) = T(x,K(u,w) * (y \ (z * K(u,w)))). T(x,K(y,z) * (u \ (w * K(y,z)))) = T(x,u \ w). T(x,y * (z \ (u * K(w,v5)))) != v6 | T(x,y * ((K(w,v5) / z) * u)) = v6. T(x,K(y,z) * ((K(y,z) / u) * w)) = T(x,u \ w). x * K(y,z) != u \ y | u \ T(y,z) = x. (K(x,y) * z) \ T(u,K(x,y)) = (z \ u) * K(x,y). x \ T(y,K(z,u)) = ((K(z,u) * x) \ y) * K(z,u). ((K(x,y) * z) \ u) * K(x,y) = z \ T(u,K(x,y)). (K(x,y) * (1 / z)) \ T(1 / u,K(x,y)) = (1 / (u * (z \ 1))) * K(x,y). K(x,y) * z != u \ T(w,K(x,y)) | T((K(x,y) * u) \ w,K(x,y)) = z. T((K(x,y) * z) \ u,K(x,y)) = K(x,y) * (z \ T(u,K(x,y))). K(x,((K(y,z) * u) \ w) * K(y,z)) = K(x,u \ w). K(x,(y \ z) * K(u,w)) = K(x,(K(w,u) * y) \ z). K(x,(K(y,z) * u) \ w) = K(x,(u \ w) * K(z,y)). K(x,((1 / (y \ K(z,u))) \ w) * K(z,u)) = K(x,y \ w). K(x,(((K(y,z) * u) * w) \ v5) * K(y,L(z,u,w))) = K(x,(u * w) \ v5). x != K(y,z * K(u,w)) | K(y,K(w,u) * z) = x. K(x,K(y,z) * (u \ w)) = K(x,(K(y,z) * u) \ w). K(x,(K(y,z) * u) \ w) = K(x,K(y,z) * (u \ w)). K(x,(T(y,K(z,u)) \ w) * K(z,u)) = K(x,K(z,u) * (y \ w)). K(x,(y \ K(z,u)) * ((w * y) * (y \ K(z,u)))) = K(x,y \ w). L(x,T(y,z) * u,T(y,z) * u) = L(x,y * u,y * u). L(x,(y \ z) * u,T(z / y,y) * u) = L(x,(z / y) * u,(z / y) * u). L(x,T(T(y,z),u) * (z \ 1),T(T(y,z),u) * (z \ 1)) = L(x,z \ y,T(y,z) * (z \ 1)). L(x,T(T(y,z),u) * z,T(T(y,z),u) * z) = L(x,z * y,T(y,z) * z). K(x,(T(y,K(z,u)) \ w) * K(v5,v6)) != v7 | K(x,(K(v5,v6) / y) * w) = v7. K(x,(K(y,z) / u) * w) = K(x,K(y,z) * (u \ w)). K(x,(K(y,z) / u) * w) != v5 | K(x,u \ (w * K(y,z))) = v5. K(x,y \ (z * K(u,w))) = K(x,K(u,w) * (y \ z)). x != K(y,K(z,u) * w) | K(y,w * K(z,u)) = x. 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 \ (z * T(u,w))) = K(x,K(u,w) * (y \ (z * u))). K(x,K(y,z) * (u \ (w * y))) = K(x,u \ (w * T(y,z))). 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,y \ (z * u)) = K(x,y \ (z * T(u,K(w,v5)))). K(x,y \ (z * T(u,K(w,v5)))) = K(x,y \ (z * u)). K(x,y \ (z * (u * K(w,v5)))) = K(x,y \ (z * (K(w,v5) * u))). K(x,y \ (z * (K(u,w) * v5))) = K(x,y \ (z * (v5 * K(u,w)))). K(x,(((K(y,z) * u) * w) \ v5) * K(z,y)) = K(x,(u * w) \ v5). K(x,K(y,z) * (u \ (w * v5))) = K(x,u \ (w * (v5 * K(y,z)))). K(x,y \ (z * (u * K(w,v5)))) = K(x,K(w,v5) * (y \ (z * u))). K(x,(y \ (z * u)) * K(w,v5)) = K(x,y \ (z * (u * K(v5,w)))). K(x,y \ (z * (u * K(w,v5)))) = K(x,(y \ (z * u)) * K(v5,w)). K(x,y \ (z * (u * K(w,v5)))) != v6 | K(x,y \ (z * (K(w,v5) * u))) = v6. K(x,y \ (z * (K(u,w) * v5))) = K(x,K(u,w) * (y \ (z * v5))). 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(u,z)). K(x,(y \ (z * T(u,z))) * K(w,v5)) = K(x,y \ ((K(v5,w) * u) * z)). K(x,a(y,z,K(u,w) * v5)) = K(x,K(u,w) * ((y * (z * (K(u,w) * v5))) \ ((y * z) * v5))). K(x,K(y,z) * ((u * (w * (K(y,z) * v5))) \ ((u * w) * v5))) = K(x,a(u,w,K(y,z) * v5)). K(x,(y \ (z * u)) * K(w,v5)) = K(x,y \ ((K(v5,w) * z) * u)). K(x,y \ ((K(z,u) * w) * v5)) = K(x,(y \ (w * v5)) * K(u,z)). K(x,L(y,z,K(u,w) * v5)) = K(x,(((K(u,w) * v5) * z) \ (v5 * (z * y))) * K(w,u)). K(x,(((K(y,z) * u) * w) \ (u * (w * v5))) * K(z,y)) = K(x,L(v5,w,K(y,z) * u)). T(x,y * (z * (T(u,w) * v5))) = T(x,y * (z * (u * (v5 * K(u,w))))). T(x,y * (z * (u * (w * K(u,v5))))) = T(x,y * (z * (T(u,v5) * w))). T(x,(y * T(y,z)) * (z \ u)) = T(x,z * (((z \ y) * (z \ y)) * u)). T(x,y * (((y \ z) * (y \ z)) * u)) = T(x,(z * T(z,y)) * (y \ u)). x != T(y,(z * T(z,u)) * w) | T(y,z * (T(z,u) * w)) = x. T(x,y * (T(y,z) * (z \ u))) = T(x,z * (((z \ y) * (z \ y)) * u)). T(x,y * (((y \ z) * (y \ z)) * u)) = T(x,z * (T(z,y) * (y \ u))). T(x,T((y / z) \ 1,u) * w) = T(x,((z / y) * w) * K(z / y,u)). T(x,((y / z) * u) * K(y / z,w)) = T(x,T((z / y) \ 1,w) * u). x != T(y,T(z \ 1,u) * w) | T(y,T(z,u) \ w) = x. T(x,T(y / z,u) \ w) = T(x,((z / y) * w) * K(z / y,u)). T(x,((y / z) * u) * K(y / z,w)) = T(x,T(z / y,w) \ u). T(x,((y / z) * u) * K(w,y / z)) = T(x,T(z / y,w) \ u). T(x,(y / z) * (u * K(w,y / z))) = T(x,T(z / y,w) \ u). T(x,T(y / z,u) * w) = T(x,T(z / y,u) \ w). T(x,T(y / z,u) \ w) = T(x,T(z / y,u) * w). T(x,T(y / (((1 / z) / u) \ 1),w) \ 1) != v5 | T(x,T((u * z) \ (((z \ (u \ 1)) * y) \ (1 / (z \ (u \ 1)))),w)) = v5. T(x,T((y * z) \ (((z \ (y \ 1)) * u) \ (1 / (z \ (y \ 1)))),w)) = T(x,T((((1 / z) / y) \ 1) / u,w) * 1). T(x,T((y \ z) \ 1,u) * w) = T(x,((z \ y) * w) * K(z \ y,u)). T(x,((y \ z) * u) * K(y \ z,w)) = T(x,T((z \ y) \ 1,w) * u). T(x,T(y \ z,u) \ w) = T(x,((z \ y) * w) * K(z \ y,u)). T(x,((y \ z) * u) * K(y \ z,w)) = T(x,T(z \ y,w) \ u). T(x,((y \ z) * u) * K(w,y \ z)) = T(x,T(z \ y,w) \ u). T(x,(y \ z) * (u * K(w,y \ z))) = T(x,T(z \ y,w) \ u). T(x,T(y \ z,u) * w) = T(x,T(z \ y,u) \ w). T(x,T(y \ z,u) \ w) = T(x,T(z \ y,u) * w). T(x,T(y \ z,u) \ w) != v5 | T(x,T(z \ y,u) * w) = v5. L(x,y * (K(z,u) * w),y * (K(z,u) * w)) = L(x,y * w,y * w). L(x,y * (T(z,u) * w),y * (K(z,u) * (z * w))) = L(x,y * (z * w),y * (z * w)). (K(x,y) / z) \ T(1 / u,K(x,y)) = (1 / (u * (z \ 1))) * K(x,y). (K(x,y) / z) \ (1 / T(u,K(x,y))) = (1 / (u * (z \ 1))) * K(x,y). (K(x,y) / z) \ (1 / T(u,K(x,y))) = ((1 / z) \ (1 / u)) * K(x,y). L(x,(y \ z) * u,(y \ z) * u) = L(x,(z / y) * u,(z / y) * u). L(x,(y / z) * u,(y / z) * u) = L(x,(z \ y) * u,(z \ y) * u). L(x,y * T(z,u),T(T(z,y),u) * y) = L(x,y * z,T(z,y) * y). L(x,y * T(z,u),y * T(z,u)) = L(x,y * z,T(z,y) * y). L(x,y * T(z,u),y * T(z,u)) = L(x,y * z,y * z). L(x,(x * y) * T(z,x),(x * y) * T(z,x)) != u | (x * (y * (x \ z))) * ((x \ (x * (y * (x \ z)))) \ 1) = u. (x * (y * (x \ z))) * ((x \ (x * (y * (x \ z)))) \ 1) = L(x,(x * y) * z,(x * y) * z). L(x,y * (z \ u),y * T(u / z,z)) = L(x,y * (u / z),y * (u / z)). L(x,y * (z * y),(y * y) * T(z,y \ 1)) = L(x,(y * y) * z,(y * y) * z). L(x,y * (z \ u),y * (z \ u)) = L(x,y * (u / z),y * (u / z)). L(x,y * (z / u),y * (z / u)) = L(x,y * (u \ z),y * (u \ z)). L(x,y * (z * (u \ 1)),y * (z / u)) = L(x,y * (u \ z),y * (u \ z)). L(x,y * (y * z),u) != w | L(x,(z * y) * y,u) = w. L(x,((y \ 1) * z) * z,z * (z / y)) = L(x,z * (y \ z),z * (y \ z)). L(x \ ((y * (z * z)) / x),((x \ 1) * z) * z,z * (z / x)) != u | (x \ y) / (z \ (z \ x)) = u. (x \ y) / (z \ (z \ x)) = L(x \ ((y * (z * z)) / x),z * (x \ z),z * (x \ z)). L(x \ ((y * (z * z)) / x),z * (x \ z),z * (x \ z)) = (x \ y) / (z \ (z \ x)). x != K(y,z) / (u \ 1) | K(y,z) * u = x. K(x,y * (x \ y)) * (y \ x) = L((y \ x) \ 1,(y \ x) \ 1,y) \ 1. L((x \ y) \ 1,(x \ y) \ 1,x) \ 1 = K(y,x * (y \ x)) * (x \ y). (L(x \ y,x \ y,x) \ 1) \ 1 = K(y,x * (y \ x)) * (x \ y). (L(x \ y,x,x \ y) \ 1) \ 1 = K(y,x * (y \ x)) * (x \ y). (T(x / y,x) \ 1) \ 1 = K(x,y * (x \ y)) * (y \ x). K(x,y * (x \ y)) * (y \ x) = (T(x / y,x) \ 1) \ 1. K(x,y * (x \ y)) * (y \ x) = (x \ y) \ 1. L(x,y * (z * y),y * (z * y)) = L(x,(y * y) * z,(y * y) * z). L(x,(y * y) * z,(y * y) * z) = L(x,y * (z * y),y * (z * y)). L(x,(y * y) * z,(u * u) * w) != v5 | L(x,y * (y * z),u * (u * w)) = v5. L(x,y * (y * z),y * (y * z)) = L(x,y * (z * y),y * (z * y)). L(x,y * (z * y),y * (z * y)) = L(x,y * (y * z),y * (y * z)). L(x * (y * x),x * (y * x),x * (y * x)) != z | ((x * y) \ 1) \ x = z. ((x * y) \ 1) \ x = L(x * (y * x),x * (x * y),x * (x * y)). L(x * (y * x),x * (x * y),x * (x * y)) = ((x * y) \ 1) \ x. T(x,a(y,z,K(u,w)) * v5) != v6 | T(x,v5) = v6. T(x,y * (a(z,u,w) * v5)) = T(x,y * (T(a(z,u,w),v6) * v5)). T(x,y * (T(a(z,u,w),v5) * v6)) = T(x,y * (a(z,u,w) * v6)). T(L(x,y \ z,y \ z),a(u,y \ z,y \ z)) = T(x,T(z * (y \ (z / y)),u)). L(x,y \ z,y \ z) = T(x,T(z * (y \ (z / y)),u)). T(x,T(y * (z \ (y / z)),u)) = L(x,z \ y,z \ y). T(x,T(y * (z \ (y / z)),u)) != w | L(x,z \ y,z \ y) = w. L(x,y \ z,y \ z) != u | T(x,z * (y \ (z / y))) = u. K(x,(((K(y,z) * u) * w) \ v5) * K(z,y)) != v6 | K(x,(u * w) \ v5) = v6. 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)). L(x \ (y / x),z,z) != u | x \ (L(y,z,z) / x) = u. x \ (L(y * (z * z),z * (x \ z),z * (x \ z)) / x) = (x \ y) / (z \ (z \ x)). x \ ((y * (y * L(z,y * (x \ y),y * (x \ y)))) / x) = (x \ z) / (y \ (y \ x)). K(x,y) * T(z * K(y,T(x,u)),w) = T(K(y,x) * z,w) * K(x,T(y,u)). T(K(x,y) * z,u) * K(y,T(x,w)) = K(y,x) * T(z * K(x,T(y,w)),u). T(K(x,y) * z,u) * K(y,T(x,w)) != v5 | K(y,T(x,w)) * T(z * K(x,y),u) = v5. K(x,T(y,z)) * T(u * K(y,x),w) = K(x,y) * T(u * K(y,T(x,z)),w). T(x,T((((1 / y) * z) \ 1) * u,z)) = T(x,T(u,y \ 1) * ((y \ 1) \ (z \ 1))). T(x,T(((1 / y) * z) \ u,z)) = T(x,T(u,y \ 1) * ((y \ 1) \ (z \ 1))). T(x,T(((1 / y) * z) \ u,w)) != v5 | T(x,T((z \ y) * u,w)) = v5. T(x,T((y \ z) * u,y)) = T(x,T(u,z \ 1) * ((z \ 1) \ (y \ 1))). x != T(y,z * ((u \ 1) \ (w \ 1))) | T(y,z * (u / w)) = x. T(x,T(y,z \ 1) * (z / u)) = T(x,T((u \ z) * y,u)). T(x,T((y \ z) * u,y)) = T(x,T(u,z \ 1) * (z / y)). T(x,T(y,z) * (z / u)) = T(x,T((u \ z) * y,u)). T(x,T((y \ z) * u,y)) = T(x,T(u,z) * (z / y)). L(x,(1 / y) * (K(z,u / y) / w),v5) = L(x,K(z,y \ u) * ((1 / y) / w),v5). L(x,K(y,z \ u) * ((1 / z) / w),v5) = L(x,(1 / z) * (K(y,u / z) / w),v5). x != L(y,(1 / z) * u,w) | L(y,z \ u,w) = x. L(x,y \ (K(z,u / y) / w),v5) = L(x,K(z,y \ u) * ((1 / y) / w),v5). L(x,K(y,z \ u) * ((1 / z) / w),v5) = L(x,z \ (K(y,u / z) / w),v5). L(x,y * ((1 / z) / u),w) != v5 | L(x,y / (u * z),w) = v5. L(x,K(y,z \ u) / (w * z),v5) = L(x,z \ (K(y,u / z) / w),v5). T(x,T(y * (z * z),u) * w) = T(x,T(w,y) * T((y * z) * z,u)). T(x,T(y,z) * T((z * u) * u,w)) = T(x,T(z * (u * u),w) * y). T(x,y * T((z * u) * u,w)) != v5 | T(x,y * T(z * (u * u),w)) = v5. T(x,T(y,z) * T(z * (u * u),w)) = T(x,T(z * (u * u),w) * y). T(T(x,y * (z \ K(u,w))),K(v5,y * (z \ K(u,w)))) = T(x,T(y * (K(u,w) / z),v5)). T(x,y * (((z \ 1) * u) \ K(w,v5))) = T(x,y * (K(w,v5) * ((u \ 1) / (1 / z)))). T(x,y * (K(z,u) * ((w \ 1) / (1 / v5)))) = T(x,y * (((v5 \ 1) * w) \ K(z,u))). T(T(x,y * (z \ (y * u))),K(w,y * (z \ (y * u)))) = T(x,T((y * (z \ y)) * u,w)). L(x,y * (T(z,u) * w),y * (T(z,u) * w)) = L(x,y * (z * w),y * (z * w)). L(x,y * ((z \ u) * w),y * (T(u / z,z) * w)) = L(x,y * ((u / z) * w),y * ((u / z) * w)). T(x,T(y * (z \ K(u,w)),v5)) = T(x,T(y * (K(u,w) / z),v5)). T(x,T(y * (K(z,u) / w),v5)) = T(x,T(y * (w \ K(z,u)),v5)). T(x,T(y * (K(z,u) / w),v5)) != v6 | T(x,T(y / (w * K(z,u)),v5)) = v6. T(x,T(y / (z * K(u,w)),v5)) = T(x,T(y * (z \ K(u,w)),v5)). T(x,T(y * (z \ (y * u)),w)) = T(x,T((y * (z \ y)) * u,w)). T(x,T((y * (z \ y)) * u,w)) = T(x,T(y * (z \ (y * u)),w)). T(x,T(y * (z \ (y * (u \ 1))),w)) != v5 | T(x,T((y * (z \ y)) / u,w)) = v5. L(x,y \ (y \ 1),K(z,u)) * ((y \ 1) * (y \ K(z,u))) = (x * (y \ (1 / y))) * K(z,u). x \ (y * (K(z,K(u,w)) * v5)) != v6 | K(z,K(u,w)) * (x \ (y * v5)) = v6. K(x,K(y,z)) * ((u * (K(x,K(y,z)) * w)) \ (u * (w * v5))) = L(v5,K(x,K(y,z)) * w,u). a(x,y,K(K(z,u) * w,v5)) = K(x,K(z,u) * ((v5 * (y * (K(z,u) * w))) \ ((v5 * y) * w))). K(x,K(y,z) * ((u * (w * (K(y,z) * v5))) \ ((u * w) * v5))) = a(x,w,K(K(y,z) * v5,u)). (x * (y * (x \ z))) * ((y * (x \ z)) \ 1) = L(x,(x * y) * z,(x * y) * z). L(x,y * (x \ z),y * (x \ z)) = L(x,(x * y) * z,(x * y) * z). L(x,(x * y) * z,(x * y) * z) = L(x,y * (x \ z),y * (x \ z)). x * ((y \ 1) * (y \ K(z,u))) = (x * (y \ (1 / y))) * K(z,u). (x * (y \ (1 / y))) * K(z,u) = x * ((y \ 1) * (y \ K(z,u))). (x * (y \ (1 / y))) * K(z,y \ 1) != u | (x / y) * T(1 / y,z) = u. (x / y) * T(1 / y,z) = x * ((y \ 1) * (y \ K(z,y \ 1))). x * ((y \ 1) * (y \ K(z,y \ 1))) = (x / y) * T(1 / y,z). x * ((y \ 1) * T(y \ 1,z)) = (x / y) * T(1 / y,z). x * (y \ T(1 / y,z)) = (x / y) * T(1 / y,z). (x / y) * T(1 / y,z) = x * (y \ T(1 / y,z)). T(x,y * (z \ T(1 / z,u))) = T(x,z \ (T(z,u) \ y)). T(x,y * (z \ T(1 / u,w))) != v5 | T(x,y / (T(u,w) * z)) = v5. T(x,y / (T(z,u) * z)) = T(x,z \ (T(z,u) \ y)). T(x,y / (z * T(z,u))) = T(x,z \ (T(z,u) \ y)). T(x,y / (z * T(z,u))) != w | T(x,y * ((z * (u * z)) \ u)) = w. T(x,y * ((z * (u * z)) \ u)) = T(x,z \ (T(z,u) \ y)). K(x,K(y,z)) * (K(x,K(y,z)) * ((u * w) \ (u * (w * v5)))) = L(v5,K(x,K(y,z)) * w,u). K(x,K(y,z)) * (K(x,K(y,z)) * L(u,w,v5)) = L(u,K(x,K(y,z)) * w,v5). L(x,y,z) = L(x,K(u,K(w,v5)) * y,z). L(x,K(y,K(z,u)) * w,v5) = L(x,w,v5). L(x,T(y,K(z,u)),w) = L(x,y,w). L(x,y * K(z,K(u,w)),v5) = L(x,y,v5). L(x,K(y,T(z,u)),w) = L(x,K(y,z),w). L(x,T(y,K(z,u)) / w,v5) = L(x,y / w,v5). L(x,y * (K(z,K(u,w)) * v5),v6) = L(x,y * v5,v6). x != L(y,(K(z,u) * w) \ v5,v6) | L(y,(w \ K(z,u)) * v5,v6) = x. L(x,(y \ K(z,u)) * w,v5) = L(x,T((K(z,u) * y) \ w,K(v6,v7)),v5). L(x,T((K(y,z) * u) \ w,K(v5,v6)),v7) = L(x,(u \ K(y,z)) * w,v7). L(x,T(y \ z,z),u) != w | L(x,z / y,u) = w. L(x,K(y,z) / u,w) = L(x,u \ K(y,z),w). L(x,(K(y,T(z,u)) * w) \ v5,v6) = L(x,(K(y,z) * w) \ v5,v6). x != L(y,K(z,u),w) | L(y,u,K(w,z)) = x. L(x,y,K(z,u)) = L(x,K(u,T(y,w)),z). L(x,K(y,T(z,u)),w) = L(x,z,K(w,y)). L(x,K(y,z),u) != w | L(x,z,K(u,y)) = w. L(x,T(y,z),K(u,w)) = L(x,y,K(u,w)). L(x,y,K(z,u)) != w | L(x,z,K(y,u)) = w. L(x,y,K(T(z,u),w)) = L(x,z,K(y,w)). L(x,y,K(z,T(u,w))) = L(x,z,K(y,u)). L(x,y,K(z,u)) * (K(y,u) * z) = (x * z) * K(y,T(u,z)). L(x,T(y,K(z,u)) / z,T(z,u)) != w | L(x,z \ y,T(z,u)) = w. L(x,y \ z,T(y,u)) = L(x,z / y,T(y,u)). L(x,y / z,T(z,u)) = L(x,z \ y,T(z,u)). L(x,K(y,z) * (u / y),w) = L(x,u / T(y,z),w). L(x,K(y,z \ u) / (w * z),v5) != v6 | L(x,z \ (K(y,u / z) / w),v5) = v6. L(x,y \ (K(z,u / y) / w),v5) = L(x,(w * y) \ K(z,y \ u),v5). L(x,(y * z) \ K(u,z \ w),v5) = L(x,z \ (K(u,w / z) / y),v5). L(x,y * (z \ T(u,K(w,v5))),v6) = L(x,y * (z \ u),v6). L(x,K(y,z) * (u / y),y) != w | L(x,T(y,z) \ u,y) = w. L(x,T(y,z) \ u,y) = L(x,u / T(y,z),y). L(x,y / T(z,u),z) = L(x,T(z,u) \ y,z). L(x,(y \ K(z,u)) * w,v5) = L(x,(K(z,T(u,v6)) * y) \ w,v5). L(x,(K(y,T(z,u)) * w) \ v5,v6) = L(x,(w \ K(y,z)) * v5,v6). L(x,(y * K(z,u)) \ w,v5) = L(x,(y \ K(z,u)) * w,v5). L(x,K(y,z) * (u \ T(w,K(y,z))),v5) = L(x,(u \ K(y,z)) * w,v5). L(x,(y * z) \ K(u,z \ 1),w) != v5 | L(x,z \ (y \ K(z,u)),w) = v5. L(x,y \ (z \ K(y,u)),w) = L(x,y \ (K(u,1 / y) / z),w). L(x,y \ (K(z,1 / y) / u),w) = L(x,y \ (u \ K(y,z)),w). L(x,y \ (K(z,y \ 1) / u),w) = L(x,y \ (u \ K(y,z)),w). L(x,y * (z \ T(u,K(w,v5))),v6) != v7 | L(x,y * (z \ u),v6) = v7. L(x,K(y,z) * (u \ w),v5) = L(x,(u \ K(y,z)) * w,v5). L(x,(y \ K(z,u)) * w,v5) = L(x,K(z,u) * (y \ w),v5). L(x,(y \ K(z,u)) * w,v5) != v6 | L(x,(y * K(z,u)) \ w,v5) = v6. L(x,(y * K(z,u)) \ w,v5) = L(x,K(z,u) * (y \ w),v5). T(x,y * K(z,u)) \ T(y * T(T(x,K(z,u)),y * K(z,u)),K(z,u)) = T(y,x * K(z,u)). T(x,T(y,z) * ((((1 / y) * u) * K(y,z)) * w)) = T(x,(K(y,z) * (u * y)) * (T(y,z) \ w)). L(x,y \ T(z,u),T(T(z,y),u) * (y \ 1)) = L(x,y \ z,T(z,y) * (y \ 1)). L(x,y \ T(z,u),y \ T(z,u)) = L(x,y \ z,T(z,y) * (y \ 1)). L(x,y \ T(z,u),y \ T(z,u)) = L(x,y \ z,y \ z). L(x,y \ T(z * u,u),y \ T(z * u,u)) != w | L(x,(z \ (1 / u)) * y,(((z * u) * u) \ u) * y) = w. L(x,(y \ (1 / z)) * u,(((y * z) * z) \ z) * u) = L(x,u \ (y * z),u \ (y * z)). L(x,(y \ (1 / z)) * u,(y \ (1 / z)) * u) = L(x,u \ (y * z),u \ (y * z)). L(x,y,(z \ (1 / u)) * w) != v5 | L(x,y,(u * z) \ w) = v5. L(x,(y \ (1 / z)) * u,(z * y) \ u) = L(x,u \ (y * z),u \ (y * z)). L(x,(y \ (1 / z)) * u,w) != v5 | L(x,(z * y) \ u,w) = v5. L(x,(y * z) \ u,(y * z) \ u) = L(x,u \ (z * y),u \ (z * y)). L(x,L(y,z,u),(u * z) \ (u * (z * y))) = L(x,(u * (z * y)) \ (z * u),(u * (z * y)) \ (z * u)). L(x,(y * (z * u)) \ (z * y),(y * (z * u)) \ (z * y)) = L(x,L(u,z,y),(y * z) \ (y * (z * u))). L(x,L(T(y,z),z,u),(u * z) \ (u * (y * z))) = L(x,(u * (y * z)) \ (z * u),(u * (y * z)) \ (z * u)). L(x,(y * (z * u)) \ (u * y),(y * (z * u)) \ (u * y)) = L(x,L(T(z,u),u,y),(y * u) \ (y * (z * u))). L(x,(y * (z * u)) \ (u * y),(y * (z * u)) \ (u * y)) = L(x,R(T(z,u * y),u,y),(u * y) \ ((z * u) * y)). T(x,y * K(z,u)) \ (T(x,K(z,u)) * T(y,K(z,u))) = T(y,x * K(z,u)). K(x,K(y,z)) * (K(u * K(y,z),x) * T(u,K(y,z))) = T(u,x * K(y,z)). K(x,K(y,z)) * T(K(u * K(y,z),x) * u,K(y,z)) = T(u,x * K(y,z)). K(x,K(y,z)) * T(u * K(K(y,z) * u,x),K(y,z)) = T(u,x * K(y,z)). K(x,K(y,z)) * (K(y,z) \ T(u * K(y,z),x)) = T(u,x * K(y,z)). K(x,K(y,z)) * (K(z,y) * T(u * K(y,z),x)) = T(u,x * K(y,z)). K(x,K(y,z)) * (K(z,y) * u) != w | K(z,T(y,x)) * u = w. K(x,T(y,z)) * T(u * K(y,x),z) = T(u,z * K(y,x)). K(x,T(y,z)) * T(u * K(y,x),w) != v5 | K(x,y) * T(u * K(y,T(x,z)),w) = v5. K(x,y) * T(z * K(y,T(x,u)),u) = T(z,u * K(y,x)). K(x,y) * T(z,u * K(x,y)) = T(z * K(x,T(y,u)),u). T(x * K(y,T(z,u)),u) = K(y,z) * T(x,u * K(y,z)). R(x,K(y,z),u) = (u * (x * K(y,z))) / T(u * K(y,T(z,x)),x). (x * (y * K(z,u))) / T(x * K(z,T(u,y)),y) = R(y,K(z,u),x). (x * (y * K(z,u))) / T(x * K(z,T(u,y)),y) != w | L(y,K(z,u),x) = w. L(x,K(y,z),u) = R(x,K(y,z),u). R(x,K(y,z),u) = L(x,K(y,z),u). R(x * x,K(y,z),u) != w | ((x * (x * K(y,z))) * u) / (K(y,z) * u) = w. ((x * (x * K(y,z))) * u) / (K(y,z) * u) = L(x * x,K(y,z),u). L(x,K(y,z),u) * (K(y,z) * u) = (x * K(y,z)) * u. L(x,y,K(z,u)) * (K(y,u) * z) = (x * K(y,u)) * z. L(x,y,K(z,u)) * (K(y,u) * z) != w | (x * z) * K(y,T(u,z)) = w. (x * y) * K(z,T(u,y)) = (x * K(z,u)) * y. T(((x * K(y,z)) * u) \ (K(y,z) * u),K(y,z) * u) = L(x,y,K(u,z)) \ 1. T(x,y * ((z * K(u,w)) * v5)) = T(x,y * (K(u,w) * (z * v5))). T(x,y * (((z \ u) * K(z,w)) * v5)) != v6 | T(x,y * ((T(u,z) / T(z,w)) * v5)) = v6. T(x,y * ((T(z,u) / T(u,w)) * v5)) = T(x,y * (K(u,w) * ((u \ z) * v5))). T(x,y * (((z \ u) * K(w,T(v5,u))) * v6)) != v7 | T(x,y * (((z \ K(w,v5)) * u) * v6)) = v7. T(x,y * (((z \ K(u,w)) * v5) * v6)) = T(x,y * (K(u,T(w,v5)) * ((z \ v5) * v6))). T(x,y * (K(z,T(u,w)) * ((v5 \ w) * v6))) = T(x,y * (((v5 \ K(z,u)) * w) * v6)). ((x * x) * (K(y,z) * u)) / (K(y,z) * u) = L(x * x,K(y,z),u). x * x = L(x * x,K(y,z),u). L(x * x,K(y,z),u) = x * x. L(x,K(y,T(z,u)),w) != v5 | L(x,z,K(w,y)) = v5. L(x * x,y,K(z,u)) = x * x. (x * x) * (y * K(z,u)) = ((x * x) * y) * K(z,u). ((x * x) * y) * K(z,u) = (x * x) * (y * K(z,u)). K(x,L(y,z,u * u)) = K(x,y). (x * y) * K(z,u) = (x * x) * (((1 / x) * y) * K(z,u)). (x * x) * (((1 / x) * y) * K(z,u)) = (x * y) * K(z,u). K(x,L(y,z * z,u)) = K(x,y). K(x,L(y \ (y \ (z / u)),y * y,u)) != w | K(x,z / ((y * y) * u)) = w. K(x,y / ((z * z) * u)) = K(x,z \ (z \ (y / u))). K(x,y / ((z * z) * u)) != w | K(x,y / (u * (z * z))) = w. K(x,y / (z * (u * u))) = K(x,u \ (u \ (y / z))). K(x,y / (z * (z * u))) = K(x,z \ (z \ (y / u))). K(x,y \ (y \ (z / u))) * (x * w) = T(x,z / (y * (y * u))) * w. x * ((y * (K(z,u) * x)) / x) = (x * y) * K(z,u). x * y != z * ((u * (K(w,v5) * z)) / z) | ((z * u) * K(w,v5)) / y = x. ((x * y) * K(z,u)) / x = x \ (y * (K(z,u) * x)). x * (x * ((x \ y) * K(z,u))) = (x * y) * K(z,u). ((x * (x * y)) * K(z,u)) / x != w | (y * (x * (x * K(z,u)))) / x = w. (x * (y * (y * K(z,u)))) / y = y \ ((y * x) * (K(z,u) * y)). x \ ((x * y) * K(z,u)) = x * ((x \ y) * K(z,u)). x * y != z \ ((z * u) * K(w,v5)) | (z * ((z \ u) * K(w,v5))) / y = x. (x * ((x \ y) * K(z,u))) / x = L(y,x,x) * (K(z,u) / x). L(x,y,y) * (K(z,u) / y) != w | T((y \ x) * K(z,u),y) = w. x != y \ ((y * z) * (u * y)) | (L(z,y,y) * u) * y = x. (L(x,y,y) * K(z,u)) * y = (x * (y * (y * K(z,u)))) / y. (x * (y * (y * K(z,u)))) / y = (L(x,y,y) * K(z,u)) * y. x != (L(y,z,z) * K(u,w)) * z | T(z * (y * K(u,w)),z) = x. T(x * (y * K(z,u)),x) = (y * (x * (x * K(z,u)))) / x. (x * (y * (y * K(z,u)))) / y = T(y * (x * K(z,u)),y). x \ (y * (x * (x * K(z,u)))) = x * (y * K(z,u)). (x * (y * K(z,u))) / x = ((1 / x) * y) * (K(z,u) * x). ((1 / x) * y) * (K(z,u) * x) = (x * (y * K(z,u))) / x. T(x * K(y,z),u) = ((1 / u) * x) * (K(y,z) * u). ((1 / x) * y) * (K(z,u) * x) = T(y * K(z,u),x). ((x * x) \ y) * (K(z,u) * x) = T((x \ y) * K(z,u),x). T(x,y \ (y \ (z / u))) = T(x,z / (y * (y * u))). T(x,y / (z * (z * u))) = T(x,z \ (z \ (y / u))). T(x,y / (z * (z * u))) != w | T(x,y / ((u * z) * z)) = w. T(x,y / ((z * u) * u)) = T(x,u \ (u \ (y / z))). T(x,y / (T(z,u) * (u \ z))) = T(x,T(z,u) \ (T(z,u) \ (y / (u \ 1)))). T(x,T(y,z) \ (T(y,z) \ (u / (z \ 1)))) = T(x,u / (T(y,z) * (z \ y))). T(x,y / (z * (u \ (1 / u)))) = T(x,(u \ 1) \ ((u \ 1) \ (y / z))). T(x,(y \ 1) \ ((y \ 1) \ (z / u))) = T(x,z / (u * (y \ (1 / y)))). T(x,y / ((z \ 1) * (z * ((1 / z) / u)))) = T(x,(z \ 1) \ ((z \ 1) \ (y / (z / u)))). T(x,R(y,T(z * u,z),z)) = T(x,z \ (z \ (((y * T(z * u,z)) * z) / u))). T(x,y \ (y \ (((z * T(y * u,y)) * y) / u))) = T(x,R(z,T(y * u,y),y)). T(x,(y * z) / ((u * w) * z)) != v5 | T(x,z * ((z \ y) * (w \ (1 / u)))) = v5. T(x,y * ((y \ z) * (y \ (1 / u)))) = T(x,y \ (y \ ((z * y) / u))). T(x,(y \ 1) \ ((y \ 1) \ (z / (1 / u)))) = T(x,z / (y \ (1 / (u * y)))). T(x,T(y,z) \ (T(y,z) \ (u / (z \ 1)))) = T(x,u / (z \ (y * y))). x != T(y,z / (u \ w)) | T(y,z * (w \ u)) = x. T(x,y * ((z * z) \ u)) = T(x,T(z,u) \ (T(z,u) \ (y / (u \ 1)))). T(x,T(y,z) \ (T(y,z) \ (u / (z \ 1)))) = T(x,u * ((y * y) \ z)). x != T(y,z * ((u * u) \ w)) | T(y,z * (u \ (u \ w))) = x. T(x,y * (z \ (z \ u))) = T(x,T(z,u) \ (T(z,u) \ (y / (u \ 1)))). T(x,T(y,z) \ (T(y,z) \ (u / (z \ 1)))) = T(x,u * (y \ (y \ z))). T(x,y \ (y \ (z / (u \ 1)))) = T(x,z * (y \ (y \ u))). T(x,y \ (z \ (u / (w \ 1)))) != v5 | T(x,y \ (z \ (u * w))) = v5. T(x,y \ (y \ (z * u))) = T(x,z * (y \ (y \ u))). x * y != T(z,u \ (u \ (w * v5))) | x \ T(z,w * (u \ (u \ v5))) = y. x \ T(x,y * (z \ (z \ u))) = K(x,z \ (z \ (y * u))). K(x,y * (z \ (z \ u))) = K(x,z \ (z \ (y * u))). K(x,y \ (y \ (z * u))) = K(x,z * (y \ (y \ u))). K(x,(y * z) * (y \ (y \ u))) != w | K(x,T(z * (u / y),y)) = w. T(x,y * ((1 / (z * u)) \ u)) = T(x,(u \ 1) \ ((u \ 1) \ (y / (1 / z)))). T(x,(y \ 1) \ ((y \ 1) \ (z / (1 / u)))) = T(x,z * ((1 / (u * y)) \ y)). T(x,y * ((z * u) * u)) = T(x,(u \ 1) \ ((u \ 1) \ (y / (1 / z)))). T(x,(y \ 1) \ ((y \ 1) \ (z / (1 / u)))) = T(x,z * ((u * y) * y)). x != T(y,z * ((u * w) * w)) | T(y,z * (w * (w * u))) = x. T(x,y * (z * (z * u))) = T(x,(z \ 1) \ ((z \ 1) \ (y / (1 / u)))). T(x,(y \ 1) \ ((y \ 1) \ (z / (1 / u)))) = T(x,z * (y * (y * u))). T(x,(y / (1 / z)) * ((1 / u) \ u)) = T(x,y * (u * (u * z))). T(x,y * ((1 / z) \ u)) != w | T(x,y * (z * u)) = w. T(x,(y / (1 / z)) * (u * u)) = T(x,y * (u * (u * z))). T(x,y * (y * (z / (1 / u)))) = T(x,z * (y * (y * u))). T(x,y * (z * (u / (w / v5)))) != v6 | T(x,y * (z * (u * (v5 / w)))) = v6. T(x,y * (y * (z * (u / 1)))) = T(x,z * (y * (y * u))). T(x,y * (y * (z * u))) = T(x,z * (y * (y * u))). T(x,y * (z * (z * u))) = T(x,z * (z * (y * u))). T(x,y * (z * u)) = T(x,z * (z * (y * (z \ u)))). T(x,y * (y * (z * (y \ u)))) = T(x,z * (y * u)). T(x,y * (z * (z * (y \ u)))) = T(x,z * (z * u)). T(x,T(y,z) * (u * (u * T(z,w)))) = T(x,u * (u * (z * (y * K(z,w))))). T(x,y * (z * (u * (w \ v5)))) != v6 | T(x,y * (z * (u / (v5 \ w)))) = v6. T(x,y * (y * (z / (u \ y)))) = T(x,z * (y * u)). T(x,T(y,z * (u * w))) = T(x,T(y,z * (u \ w))). T(x,T(y,z * (u \ w))) = T(x,T(y,z * (u * w))). T(x,y * (z * (u / x))) != w | T(x,y * (z * (x \ u))) = w. T(x \ y,y * (y * ((x \ y) \ z))) = T(x \ y,z * (y * x)). T(x,T(y,z * ((1 / u) * w))) = T(x,T(y,z * (u * w))). T(x,y * (z * ((u \ w) \ v5))) != v6 | T(x,y * (z * ((w \ u) * v5))) = v6. T(x \ y,y * (y * ((y \ x) * z))) = T(x \ y,z * (y * x)). T(x \ y,((1 / y) \ x) * x) = T(x \ y,x * (y * x)). T(x \ y,x * (x / (1 / y))) = T(x \ y,x * (y * x)). T(x,y * (z / (1 / u))) != w | T(x,y * (z * u)) = w. T(x \ y,x * (x * y)) = T(x \ y,x * (y * x)). T(x \ y,x * (y * x)) = T(x \ y,x * (x * y)). x != T(y,z * (u * (w * (v5 * K(w,v6))))) | T(y,z * (u * (T(w,v6) * v5))) = x. T(x,y * (y * (T(z,u) * w))) = T(x,T(w,z) * (y * (y * T(z,u)))). T(x,T(y,z) * (u * (u * T(z,w)))) = T(x,u * (u * (T(z,w) * y))). x != T(y,R(z,u,w)) | T(y,L(z,u,w)) = x. T(x,L(y,T(z * u,z),z)) = T(x,z \ (z \ (((y * T(z * u,z)) * z) / u))). T(x,y \ (y \ (((z * T(y * u,y)) * y) / u))) = T(x,L(z,T(y * u,y),y)). T(x,y \ (y \ (((z * T(y * u,y)) * y) / u))) = T(x,L(z,y * u,y)). T(x,y * (K(z,u) * ((w \ v5) * v6))) = T(x,y * (((w \ K(z,u)) * v5) * v6)). T(x,y * (((z \ K(u,w)) * v5) * v6)) = T(x,y * (K(u,w) * ((z \ v5) * v6))). T(x,y * (((z \ K(z,u)) * w) * v5)) != v6 | T(x,y * ((T(z,u) \ w) * v5)) = v6. T(x,y * ((T(z,u) \ w) * v5)) = T(x,y * (K(z,u) * ((z \ w) * v5))). T(x,y * (K(z,u) * ((z \ w) * v5))) = T(x,y * ((T(z,u) \ w) * v5)). T(x,y * (K(z,u) * ((z \ w) * v5))) != v6 | T(x,y * ((T(w,z) / T(z,u)) * v5)) = v6. T(x,y * ((T(z,u) / T(u,w)) * v5)) = T(x,y * ((T(u,w) \ z) * v5)). T(x,y / (z * ((1 / z) * ((1 / z) / u)))) = T(x,(z \ 1) \ ((z \ 1) \ (y / (z / u)))). T(x,y / (z * ((z \ 1) * ((z \ 1) / u)))) = T(x,(z \ 1) \ ((z \ 1) \ (y / (z / u)))). T(x,y / L((z \ 1) / u,z,z)) = T(x,(z \ 1) \ ((z \ 1) \ (y / (z / u)))). T(x,(y \ 1) \ ((y \ 1) \ (z / (y / u)))) = T(x,z / L((y \ 1) / u,y,y)). T(x,(y \ 1) \ ((y \ 1) \ (z / (y / u)))) = T(x,z / (1 / ((1 / u) \ y))). x != T(y,z / (1 / u)) | T(y,z * u) = x. T(x,y * ((1 / z) \ u)) = T(x,(u \ 1) \ ((u \ 1) \ (y / (u / z)))). T(x,(y \ 1) \ ((y \ 1) \ (z / (y / u)))) = T(x,z * ((1 / u) \ y)). T(x,y * (z * u)) = T(x,(u \ 1) \ ((u \ 1) \ (y / (u / z)))). T(x,(y \ 1) \ ((y \ 1) \ (z / (y / u)))) = T(x,z * (u * y)). T(x,(y / (z / u)) * ((1 / z) \ z)) = T(x,y * (u * z)). T(x,(y / (z / u)) * (z * z)) = T(x,y * (u * z)). T(x,y * (y * (z / (y / u)))) = T(x,z * (u * y)). T(x,y * (y * (z * (u / y)))) = T(x,z * (u * y)). T(x,y * (y * (z * (u / y)))) != w | T(x,T((y * z) * u,y)) = w. T(x,T((y * z) * u,y)) = T(x,z * (u * y)). T(x,T(y,z * (u * w))) = T(x,T(y,z * (u / w))). T(x,T(y,z * (u / w))) = T(x,T(y,z * (u * w))). T(x,(x * y) * z) = T(x,y * (z * x)). T(x,T((y * L(z,z,u)) * w,y)) != v5 | T(x,T(w,z) * (z * y)) = v5. T(x,T(y,z) * (z * u)) = T(x,L(z,z,w) * (y * u)). T(x,L(y,y,z) * (u * w)) = T(x,T(u,y) * (y * w)). T(x,T((y * z) * u,y)) != w | T(x,(z * u) * R(y,z,u)) = w. T(x,(y * z) * R(u,y,z)) = T(x,y * (z * u)). T(x,T(y * z,u)) = T(x,(u \ y) * (z * u)). T(x,(y \ z) * (u * y)) = T(x,T(z * u,y)). L(x,y,T(z,u * (w * v5))) = L(x,y,T(z,(v5 * u) * w)). L(x,y,T(z,(u * w) * v5)) = L(x,y,T(z,w * (v5 * u))). T(x,((y * (z * z)) \ u) * (T((y * z) * z,w) * (y * (z * z)))) != v5 | T(x,(y * (z * z)) * (u * K(y * (z * z),w))) = v5. T(x,(y * (z * z)) * (u * K(y * (z * z),w))) = T(x,T(u * T((y * z) * z,w),y * (z * z))). T(x,T(y * T((z * u) * u,w),z * (u * u))) = T(x,(z * (u * u)) * (y * K(z * (u * u),w))). T(x,(y \ (y / z)) * u) != w | T(x,z \ u) = w. T(x,y \ (z * u)) = T(x,T((u / y) * z,u)). T(x,T((y / z) * u,y)) = T(x,z \ (u * y)). T(x,T(y,z) * (z \ u)) = T(x,z \ (y * u)). T(x,T((y / z) / u,y)) = T(x,z \ ((w \ (w / u)) * y)). T(x,T(y * (y * z),u)) != w | T(x,y * (y * T(z,u))) = w. T(x,(y / z) * ((y / z) * T(u,y))) = T(x,z \ (((y / z) * u) * y)). T(x,T(y * (z * (u \ (z / u))),z)) = T(x,u \ (((z / u) * y) * z)). T(x,T(y * z,y) * u) != w | T(x,(z * y) * u) = w. T(x,(y * z) * (z \ u)) = T(x,z \ ((z * y) * u)). T(x,y \ ((y * z) * u)) = T(x,(z * y) * (y \ u)). T(x,T(T(y,z),z) * u) != w | T(x,y * u) = w. T(x,y * (z \ u)) = T(x,z \ (T(y,z) * u)). T(x,y \ (T(z,y) * u)) = T(x,z * (y \ u)). T(x,T(y,z) * T(u,z)) = T(x,z \ (y * (u * z))). T(x,y \ (z * (u * y))) = T(x,T(z,y) * T(u,y)). T(x,T(y,z) \ (z * u)) = T(x,z * (y \ u)). T(x,T(y * z,z) \ u) != w | T(x,(z * y) \ u) = w. T(x,(y * z) \ (y * u)) = T(x,y * ((z * y) \ u)). T(x,T(y,z) \ u) = T(x,z * (y \ (z \ u))). T(x,y * (z \ (y \ u))) = T(x,T(z,y) \ u). T(x,T(y,z) \ (u * z)) = T(x,z * (y \ T(u,z))). T(x,(y * z) * R(L(u,w,K(v5,v6)),y,z)) = T(x,y * (L(u,w,K(v5,v6)) * T(z,u))). x != T(y,(z * u) * (u \ w)) | T(y,u * ((u \ z) * w)) = x. T(x,y * ((y \ z) * u)) = T(x,y \ ((y * z) * u)). T(x,y \ ((y * z) * u)) = T(x,y * ((y \ z) * u)). T(x,(y * (z * (u \ 1))) \ (y * z)) != w | T(x,(u \ a(u,y,z)) \ 1) = w. T(x,(y \ a(y,z,u)) \ 1) = T(x,z * (((u * (y \ 1)) * z) \ u)). T(x,y \ (z * (u * y))) != w | T(x,((y \ z) * u) * y) = w. T(x,(((y * z) \ y) * u) * (y * z)) = T(x,y * ((z * y) \ (u * (y * z)))). T(x,(K(y,T(z,u)) * w) \ (u \ (K(y,z) * v5))) = T(x,K(y,T(z,u)) * ((w * K(y,T(z,u))) \ (u \ v5))). T(x,K(y,T(z,u)) * ((w * K(y,T(z,u))) \ (u \ v5))) = T(x,(K(y,T(z,u)) * w) \ (u \ (K(y,z) * v5))). T(x,T(y,z * ((z \ 1) \ u)) \ (u / (1 / (u * z)))) = T(x,(z * ((z \ 1) \ u)) * (y \ T(z \ u,z * ((z \ 1) \ u)))). T(x,(y * ((y \ 1) \ z)) * (u \ T(y \ z,y * ((y \ 1) \ z)))) = T(x,T(u,y * ((y \ 1) \ z)) \ (z / (1 / (z * y)))). T(x,y \ ((y * (z / u)) * u)) != w | T(x,L(z,(u \ 1) \ y,u)) = w. T(x,L(y,(z \ 1) \ u,z)) = T(x,u * ((u \ (y / z)) * z)). T(x,y * ((y \ (z / u)) * u)) = T(x,L(z,(u \ 1) \ y,u)). T(x,y \ ((y * z) * u)) != w | T(x,(z * (u / y)) * y) = w. T(x,(y * (z / u)) * u) = T(x,u * ((u \ y) * z)). T(x,(y * (z / u)) * u) != w | T(T(x,K(u,y * z)),u * (y * (z / u))) = w. T(T(x,K(y,z * u)),y * (z * (u / y))) = T(x,y * ((y \ z) * u)). T(x,(y * z) * u) = T(x,u * ((u \ y) * (z * u))). T(x,y * ((y \ z) * (u * y))) = T(x,(z * u) * y). T(x,y * ((y \ z) * (u * y))) != w | T(x,(z * y) * T(u,y)) = w. T(x,(y * z) * T(u,z)) = T(x,(y * u) * z). x != T(y,z * ((u \ w) * (u \ w))) | T(y,z * (w * (u \ (w / u)))) = x. T(x,(y * z) * (u * (w \ (u / w)))) = T(x,(y * ((w \ u) * (w \ u))) * T(z,(w \ u) * (w \ u))). T(x,(y * ((z \ u) * (z \ u))) * T(w,(z \ u) * (z \ u))) = T(x,(y * w) * (u * (z \ (u / z)))). T(x,y * T(T(z,u),u)) != w | T(x,y * z) = w. T(x,(y * z) * u) = T(x,(y * T(u,z)) * z). T(x,(y * T(z,u)) * u) = T(x,(y * u) * z). T(x,y * T(z,u)) = T(x,((y / u) * z) * u). T(x,((y / z) * u) * z) = T(x,y * T(u,z)). K(x,T(y,(z * u) * w)) = K(x,T(y,u * (z * w))). T(x,(y * T(z,(u \ y) / u)) * ((u \ y) / u)) = T(x,((u \ (y / u)) * y) * z). T(x,(((y \ z) / z) * u) * w) != v5 | T(x,(y \ u) * w) = v5. T(x,(y \ z) * u) = T(x,(y \ u) * T(z,u)). T(x,(y \ z) * T(u,z)) = T(x,(y \ u) * z). T(x,y * T(z * z,u)) != w | T(x,z * (z * y)) = w. T(x,y * (y * (z \ u))) = T(x,(z \ (y * y)) * u). T(x,(y \ (z * z)) * u) = T(x,z * (z * (y \ u))). x \ y != K(z,T(u,(w * v5) * v6)) | x * K(z,T(u,v5 * (w * v6))) = y. x * K(x,T(y,z * (u * w))) = T(x,T(y,(u * z) * w)). T(x,(y \ (z * z)) * u) != w | T(x,(z * (z / y)) * u) = w. T(x,(y * (y / z)) * u) = T(x,y * (y * (z \ u))). T(x,((y \ 1) * z) * u) != w | T(x,(y \ z) * u) = w. T(x,(y \ ((y \ 1) / z)) * u) = T(x,(y \ 1) * ((y \ 1) * (z \ u))). T(x,(y \ 1) * ((y \ 1) * (z \ u))) = T(x,(y \ ((y \ 1) / z)) * u). T(x,((y \ z) * T(z,y)) * u) = T(x,(y \ z) * ((y \ z) * ((y \ 1) \ u))). T(x,(y \ z) * ((y \ z) * ((y \ 1) \ u))) = T(x,((y \ z) * T(z,y)) * u). T(x,L(y,z,z) * u) != w | T(x,y * u) = w. T(x,y * (z * u)) = T(x,T(z,y) * (y * u)). T(x,T(y,z) * (z * u)) = T(x,z * (y * u)). T(x,T(y,z) * T(u,z)) = T(x,z * (y * (u / z))). T(x,y * (z * (z * u))) != w | T(x,z * (z * (y * u))) = w. T(x,y * (y * (T(z,y) * u))) = T(x,y * (z * (y * u))). T(x,T(y,z) * (z * (u * u))) != w | T(x,(z * (u * u)) * y) = w. T(x,(y * (z * z)) * u) = T(x,y * (u * (z * z))). T(x,T(y * z,z) * u) != w | T(x,(z * y) * u) = w. T(x,(y * z) * (y * u)) = T(x,y * ((z * y) * u)). T(x,(y * z) * (z * u)) = T(x,z * ((z * y) * u)). T(x,y * (z * u)) = T(x,z * (T(y,z) * u)). T(x,y * (T(z,y) * u)) = T(x,z * (y * u)). T(x,T(y,z) * u) = T(x,z * (y * (z \ u))). T(x,y * (z * (y \ u))) = T(x,T(z,y) * u). T(x,T(y,z) * (u * z)) = T(x,z * (y * T(u,z))). T(x,y * (T(a(z,u,w),v5) * v6)) != v7 | T(x,y * (a(z,u,w) * v6)) = v7. T(x,y * (a(z,u,w) * v5)) = T(x,a(z,u,w) * (y * v5)). T(x,a(y,z,u) * (w * v5)) = T(x,w * (a(y,z,u) * v5)). T(x,y * (T(z,L(u,w,v5)) * v6)) != v7 | T(x,y * (T(z,u) * v6)) = v7. T(x,L(y,z,u) * (T(w,y) * v5)) = T(x,w * (L(y,z,u) * v5)). T(x,L(T(y,y \ z),u,w) * (T(v5,L(T(y,y \ z),u,w)) * z)) = T(x,v5 * (z / (1 / L(y,u,w)))). T(x,R(y,z,u) * (T(w,L(y,z,u)) * v5)) = T(x,w * (R(y,z,u) * v5)). x != T(y,T(z,u) * (w * w)) | T(y,T(z * (w * w),u)) = x. T(x,T(y * (z * z),u)) = T(x,u * (y * (u \ (z * z)))). T(x,y * (z * (y \ (u * u)))) = T(x,T(z * (u * u),y)). T(x,y * (z * (u \ (u / w)))) != v5 | T(x,y * (z / w)) = v5. T(x,y * (z / u)) = T(x,T(z,y) * (y / u)). T(x,T(y,z) * (z / u)) = T(x,z * (y / u)). T(x,y * ((z * u) * u)) != w | T(x,y * ((u * u) * z)) = w. T(x,y * (((y \ z) * (y \ z)) * u)) = T(x,T(u * (y \ z),y) * z). T(x,y * ((y \ z) * ((y \ z) * u))) = T(x,T(u * (y \ z),y) * z). x * y != T(z,u * (w * (u \ v5))) | x \ T(z,T(w,u) * v5) = y. x \ T(x,T(y,z) * u) = K(x,z * (y * (z \ u))). K(x,y * (z * (y \ u))) = x \ T(x,T(z,y) * u). T(x,y * ((y \ z) * (y \ u))) = T(x,(z / y) * u). T(x,T(y,z) * (z / u)) != w | T(x,T((u \ z) * y,u)) = w. T(x,T((y \ z) * u,y)) = T(x,z * (u / y)). T(a(x,y,z),(u \ w) * v5) = T(a(x,y,z),w * (v5 / u)). T(x,T(y * z,u)) = T(x,(u * y) * (z / u)). T(x,(y * z) * (u / y)) = T(x,T(z * u,y)). T(x,y * ((z * u) / z)) != w | T(x,y * T(u,z)) = w. T(x,(y * z) * T(u,y)) = T(x,T(z * (y * u),y)). T(x,T(y * (z * u),z)) = T(x,(z * y) * T(u,z)). T(x,(y * z) * u) = T(x,T(z * (u * y),y)). T(x,T(y * (z * u),u)) = T(x,(u * y) * z). x != T(y,(z * (z / u)) * w) | T(y,z * (z * (u \ w))) = x. T(x,y * (y * (z \ u))) = T(x,T((y / z) * (u * y),y)). T(x,T((y / z) * (u * y),y)) = T(x,y * (y * (z \ u))). T(x,T(y * (z * u),u)) != w | T(x,u * (u * ((u \ y) * z))) = w. T(x,y * (y * ((y \ z) * u))) = T(x,(y * z) * u). T(x,T(T(y,z) * (z * u),u)) != w | T(x,L(u,z,y) * (z * y)) = w. T(x,L(y,z,u) * (z * u)) = T(x,(y * T(u,z)) * z). T(x,T(y * (z * u),u)) != w | T(x,L(u,z,y) * (y * z)) = w. T(x,L(y,z,u) * (u * z)) = T(x,(y * u) * z). T(x,T(y * (z * ((u * z) \ 1)),z \ 1)) = T(x,((z \ 1) * y) * (u \ z)). T(x,T((y * z) * (u \ ((y * z) / u)),z)) = T(x,(z * ((u \ (y * z)) / u)) * y). T(x,L(y,z,u) * (u * z)) != w | T(x,T(u * (z * y),u * z)) = w. T(x,T(y * (z * u),y * z)) = T(x,(u * y) * z). T(x,T(y,z) * T(u,z)) != w | T(x,z \ (y * (u * z))) = w. T(x,y \ (z * (u * y))) = T(x,y * (z * (u / y))). T(x,(y * (z * z)) * u) != w | T(x,((y * z) * z) * u) = w. T(x,((y * z) * z) * u) = T(x,y * (u * (z * z))). T(x,((y * x) * z) * x) = T(x,(x * y) * (x * z)). T(x,y * (y * ((z * y) * u))) = T(x,y * ((y * z) * (y * u))). T(x,y * ((y * z) * (y * u))) = T(x,y * (y * ((z * y) * u))). T(x,T(y,x) * z) != u | T(x,y * z) = u. T(x,y * (z * x)) = T(x,x * (y * T(z,x))). T(x,x * (y * T(z,x))) = T(x,y * (z * x)). T(x,L(T(y,z),u,w) * (v5 * z)) = T(x,z * (L(y,u,w) * T(v5,z))). T(x,R(T(y,z),u,w) * (v5 * z)) = T(x,z * (R(y,u,w) * T(v5,z))). T(x,y * (z * T(u,x))) != w | T(x,y * (z * u)) = w. T(x,x * (y * z)) = T(x,y * (z * x)). T(x,y * (z * x)) = T(x,x * (y * z)). x != T(y,y * z) | y * K(y \ 1,z) = x. x * K(x \ 1,y * z) = T(x,y * (z * x)). T(x,y * ((z * u) * z)) != w | T(x,y * (z * (u * z))) = w. T(x,y * (x * (z * x))) = T(x,x * (y * (x * z))). T(x,(y * x) * (z * x)) != u | T(x,x * ((y * z) * x)) = u. T(x,x * ((y * z) * x)) = T(x,x * ((y * x) * z)). x * K(x \ 1,x * y) != z | L(T(x,y),T(x,y),y \ (x * T(y,u))) = z. L(T(x,y),T(x,y),y \ (x * T(y,z))) = T(x,x * (y * x)). 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,y * (z * (u \ (w \ u)))) != v5 | K(x,y * (z / T(w,u))) = v5. K(x,y * (z / T(u,y))) = K(x,T(z,y) * (u \ y)). K(x,T(y,z) * (u \ z)) = K(x,z * (y / T(u,z))). K(x,y * (z * u)) = K(x,T(z,y) * (y * u)). K(x,T(y,z) * (z * u)) = K(x,z * (y * u)). K(x,T(T(y,z),z) * u) != w | K(x,y * u) = w. K(x,y * (z * u)) = K(x,z * (T(y,z) * u)). K(x,y * (T(z,y) * u)) = K(x,z * (y * u)). T(x,y * ((y \ z) * (y \ (1 / u)))) != w | T(x,y \ (y \ ((z * y) / u))) = w. T(x,y \ (y \ ((z * y) / u))) = T(x,(z / y) * (1 / u)). K(x,y) * T(T(x,y),(z * u) * T(w,z)) = T(x,T(T(u * (z * w),z),y)). T(T(x,y),y * (y * ((y \ z) * u))) != w | K(y,x) * T(x,z * (u * y)) = w. K(x,y) * T(y,z * (u * x)) = T(T(y,x),(x * z) * u). T(x,y * (y * (z * u))) = T(x,(y * (y * z)) * u). T(x,(y * (y * z)) * u) = T(x,y * (y * (z * u))). T(x,(y * z) \ (y * u)) != w | T(x,y * ((z * y) \ u)) = w. T(x,y * ((z * y) \ (u * (y * z)))) = T(x,(y * z) * (y * (u / (y * z)))). T(x,(y * z) * (y * (u / (y * z)))) = T(x,y * ((z * y) \ (u * (y * z)))). T(x,((y * z) * z) * u) = T(x,y * (z * (z * u))). x != T(y,(y * z) * u) | T(y,z * (u * y)) = x. T(x,y * ((x * z) * x)) = T(x,((y * x) * z) * x). T(x,((y * x) * z) * x) = T(x,y * ((x * z) * x)). T(x,((y * z) * z) * (y \ u)) != w | T(x,y * ((y \ (z * z)) * u)) = w. T(x,y * ((y \ (z * z)) * u)) = T(x,y * (z * (z * (y \ u)))). x != T(y,z * ((u * w) * u)) | T(y,z * (u * (w * u))) = x. T(x,y * (x * (z * x))) = T(x,((y * x) * z) * x). T(x,((y * x) * z) * x) = T(x,y * (x * (z * x))). T(x,x * ((y * x) * z)) = T(x,y * (x * (z * x))). T(x,y * (x * (z * x))) = T(x,x * ((y * x) * z)). x != T(y,(z * T(u,w)) * w) | T(y,(z * w) * u) = x. T(x,(y * z) * u) = T(x,L(y,z,u) * (z * u)). T(x,L(y,z,u) * (z * u)) = T(x,(y * z) * u). T(x,L(y,T(z,u),u * (w * w)) * ((u * (w * w)) * z)) = T(x,(y * T(z,u)) * (u * (w * w))). x != T(y,z \ ((u \ (u / w)) * v5)) | T(y,z \ (w \ v5)) = x. T(x,y \ (z \ u)) = T(x,T((u / y) / z,u)). T(x,T((y / z) / u,y)) = T(x,z \ (u \ y)). x * y != T(z,T((u / w) / v5,u)) | x \ T(z,w \ (v5 \ u)) = y. x \ T(x,y \ (z \ u)) = K(x,T((u / y) / z,u)). K(x,T((y / z) / u,y)) = x \ T(x,z \ (u \ y)). T(x,T(y / z,u)) = T(x,(y \ u) \ (z \ u)). T(x,(y \ z) \ (u \ z)) = T(x,T(y / u,z)). T(x,((y * z) \ y) \ u) != w | T(x,z * u) = w. T(x,y * (z \ u)) = T(x,T((u * y) / z,u)). T(x,T((y * z) / u,y)) = T(x,z * (u \ y)). T(x,(y \ z) \ u) != w | T(x,(z \ y) * u) = w. T(x,(y \ z) * (u \ y)) = T(x,T(z / u,y)). T(x,T(y / (z * K(u,w)),v5)) != v6 | T(x,T(y * (z \ K(u,w)),v5)) = v6. T(x,T((y * z) * (u \ K(w,v5)),y)) = T(x,z * ((u * K(w,v5)) \ y)). K(x,y \ (z \ u)) = K(x,T((u / y) / z,u)). K(x,T((y / z) / u,y)) = K(x,z \ (u \ y)). K(x,T((y / z) / u,y)) != w | K(x,T(u,z) \ (z \ y)) = w. K(x,T(y,z) \ (z \ u)) = K(x,z \ (y \ u)). K(x,(y * z) \ (y \ u)) = K(x,y \ ((z * y) \ u)). K(x,L(y,z,z) \ ((1 / z) \ u)) = K(x,(1 / z) \ (((z * y) * (1 / z)) \ u)). K(x,(1 / y) \ (((y * z) * (1 / y)) \ u)) = K(x,L(z,y,y) \ ((1 / y) \ u)). T(x,T(y,z * (u * w))) = T(x,T(y,(u * z) * w)). T(x,T(y,(z * u) * w)) = T(x,T(y,u * (z * w))). T(x,T(y,z * ((1 / u) * w))) != v5 | T(x,T(y,z * (u * w))) = v5. T(x,T(y,(z * u) * (w * v5))) = T(x,T(y,u * (z * ((1 / w) * v5)))). T(x,T(y,z * (u * ((1 / w) * v5)))) = T(x,T(y,(u * z) * (w * v5))). T(x,y * (z * (u \ (w * w)))) != v5 | T(x,y * (z * (w * (w / u)))) = v5. T(x,y * (z * (u * (u / y)))) = T(x,T(z * (u * u),y)). T(a(x,y,z),(u \ w) * T(v5,u)) != v6 | T(a(x,y,z),(w / u) * v5) = v6. T(a(x,y,z),(u / w) * v5) = T(a(x,y,z),u * (T(v5,w) / w)). T(a(x,y,z),u * (T(w,v5) / v5)) = T(a(x,y,z),(u / v5) * w). T(x,T((y / z) * u,y)) != w | T(x,z \ (u * y)) = w. T(x,y \ ((z * u) * u)) = T(x,u * (u * (y \ z))). T(x,y \ ((z * u) * u)) != w | T(x,y \ (u * (u * z))) = w. T(x,y \ (z * (z * u))) = T(x,z * (z * (y \ u))). T(x,(y / z) / u) = T(x,z \ (z \ ((y * z) / u))). T(x,y \ (y \ ((z * y) / u))) = T(x,(z / y) / u). T(x,y \ (y \ (((z * T(y * u,y)) * y) / u))) != w | T(x,L(z,y * u,y)) = w. T(x,L(y,z * u,z)) = T(x,((y * T(z * u,z)) / z) / u). T(x,((y * T(z * u,z)) / z) / u) = T(x,L(y,z * u,z)). T(x,y * (z * ((y / u) * (1 / T(u,y))))) = T(x,T(z * ((y / u) * (y / u)),y)). T(x,y * ((y \ (z / u)) * u)) = T(x,L(z,u * y,u)). x != T(y,L(z,u * w,u)) | T(y,L(z,w,u)) = x. T(x,L(y,z,u)) = T(x,z * ((z \ (y / u)) * u)). T(x,y * ((y \ (z / u)) * u)) = T(x,L(z,y,u)). L(T(x,y),T(x,y),x) = T(x,x * (y * x)). L(x,T(y,z),y) != u | L(x,y,y) = u. L(T(x,y),x,x) = T(x,x * (y * x)). T(x,x * (y * x)) = L(T(x,y),x,x). T(x,x * ((y * z) * x)) != u | T(x,x * ((y * x) * z)) = u. T(x,x * ((y * x) * z)) = L(T(x,y * z),x,x). T(x,y * (z * x)) != u | T(x,x * (y * z)) = u. T(x,x * (x * y)) = L(T(x,y),x,x). T(x,x * (x * y)) != z | T(x,x \ (x \ y)) = z. T(x,x \ (x \ y)) = L(T(x,y),x,x). T(x,y \ (y \ (z * u))) != w | T(x,z * (y \ (y \ u))) = w. T(x,y * (x \ (x \ z))) = L(T(x,y * z),x,x). T(x,x * ((y * x) * z)) != u | T(x,y * (x * (z * x))) = u. T(x,y * (x * (z * x))) = L(T(x,y * z),x,x). T(x,y * (x \ z)) = L(T(x,y * (x * z)),x,x). L(T(x,y * (x * z)),x,x) = T(x,y * (x \ z)). T(x,y * (x \ ((z * (u / x)) * x))) = L(T(x,y * (((1 / x) \ z) * u)),x,x). L(T(x,y * (((1 / x) \ z) * u)),x,x) = T(x,y * (x \ ((z * (u / x)) * x))). T(x,y * (x * (z * x))) != u | T(x,x * (y * (x * z))) = u. T(x,x * (y * (x * z))) = L(T(x,y * z),x,x). L(T(x \ y,x * ((x \ y) * (y * y))),x \ y,x \ y) = T(x \ y,x / ((y * x) \ 1)). T(x,x * ((y * (x * z)) * (y * (x * z)))) = L(T(x,(y * ((1 / (x * z)) \ y)) * z),x,x). L(T(x,(y * ((1 / (x * z)) \ y)) * z),x,x) = T(x,x * ((y * (x * z)) * (y * (x * z)))). T(x,(y * ((y \ z) * u)) / u) = T(x,L(z,y * u,y)). T(x,(y * (z * u)) / u) != w | T(x,u * ((u \ y) * z)) = w. T(x,y * ((y \ z) * (z \ u))) = T(x,L(u,z * y,z)). T(x,L(y,z,u)) = T(x,z * ((z \ u) * (u \ y))). T(x,y * ((y \ z) * (z \ u))) = T(x,L(u,y,z)). T(x,y * (z * ((u \ 1) * w))) != v5 | T(x,y * (z * (u \ w))) = v5. T(x,(y \ 1) * (((y \ 1) * z) * (y \ u))) = T(x,(y \ 1) * ((y \ 1) * ((z * (y \ 1)) * u))). T(x,(y \ 1) * ((y \ 1) * ((z * (y \ 1)) * u))) = T(x,(y \ 1) * (((y \ 1) * z) * (y \ u))). T(x,y * ((z \ (u * u)) * w)) != v5 | T(x,y * ((u * (u / z)) * w)) = v5. T(x,y * ((z * (z / y)) * u)) = T(x,y * (z * (z * (y \ u)))). T(x,y * (T(z,u) / u)) != w | T(x,y * (u \ z)) = w. T(a(x,y,z),u * (w \ v5)) = T(a(x,y,z),(u / w) * v5). T(a(x,y,z),(u / w) * v5) = T(a(x,y,z),u * (w \ v5)). x != T(y,z * (u * (u * (z \ w)))) | T(y,u * (u * w)) = x. T(x,y * (y * z)) = T(x,u * ((y * (y / u)) * z)). T(x,y * ((z * (z / y)) * u)) = T(x,z * (z * u)). T(x,(y \ 1) * ((((1 / y) / z) * ((y / z) * (1 / y))) * u)) = T(x,((1 / y) / z) * (((1 / y) / z) * u)). x != T(y,z * (((u * w) * v5) \ u)) | T(y,z * (u \ ((u / v5) / w))) = x. T(x,y * (z \ ((z / y) / (u \ 1)))) = T(x,(u \ a(u,y,z)) \ 1). T(x,(y \ a(y,z,u)) \ 1) = T(x,z * (u \ ((u / z) / (y \ 1)))). x != T(y,z * (u \ (w / (v5 \ v6)))) | T(y,z * (u \ (w * (v6 \ v5)))) = x. T(x,y * (z \ ((z / y) * (1 \ u)))) = T(x,(u \ a(u,y,z)) \ 1). T(x,(y \ a(y,z,u)) \ 1) = T(x,z * (u \ ((u / z) * (1 \ y)))). T(x,(y \ a(y,z,u)) \ 1) = T(x,z * (u \ ((u / z) * y))). T(x,y * (z \ ((z / y) * u))) != w | T(x,a(u,y,z) \ u) = w. T(x,a(y,z,u) \ y) = T(x,z * ((z \ (y / u)) * u)). x != T(y,z * ((z \ (u / w)) * w)) | T(y,L(u,z,w)) = x. T(x,L(y,z,u)) = T(x,a(y,z,u) \ y). T(x,a(y,z,u) \ y) = T(x,L(y,z,u)). x \ (a(y,z,u) \ y) = T((x / (a(y,z,u) \ y)) \ 1,L(y,z,u)). T((x / (a(y,z,u) \ y)) \ 1,L(y,z,u)) = x \ (a(y,z,u) \ y). x / (a(y,z,u) \ y) = T((a(y,z,u) \ y) \ x,L(y,z,u)). T((a(x,y,z) \ x) \ u,L(x,y,z)) = u / (a(x,y,z) \ x). T(1 / x,L(y,z,u)) * ((a(y,z,u) \ y) * x) = a(y,z,u) \ y. T(x \ (a(x,y,z) * u),L(x,y,z)) = u / (a(x,y,z) \ x). T(x \ y,L(x,z,u)) != w | L(y / x,x,K(z,u)) = w. L((a(x,y,z) * u) / x,x,K(y,z)) = u / (a(x,y,z) \ x). L(a(x,y,z) * (u / x),x,K(y,z)) = u / (a(x,y,z) \ x). (x / y) * a(y,z,u) = x / (a(y,z,u) \ y). x / (a(y,z,u) \ y) = (x / y) * a(y,z,u). T(((x / y) * a(y,z,u)) \ 1,L(y,z,u)) = x \ (a(y,z,u) \ y). T(a(x,y,z) \ ((u / x) \ 1),L(x,y,z)) = u \ (a(x,y,z) \ x). T(x,T(y * (z * u),z)) != w | T(x,(z * y) * T(u,z)) = w. T(x,(y * z) * T(u \ (y / u),y)) = T(x,u \ (((y / u) * z) * y)). T(T(x,K(y * (y * z),y * u)),(y * (y * z)) * (y * (u / (y * (y * z))))) = T(x,(y * (y * z)) * (((y * y) \ (z \ y)) * u)). x != T(y,(z \ ((z \ 1) / u)) * w) | T(y,(z * (z * u)) \ w) = x. T(x,(y * (y * z)) \ u) = T(x,(y \ 1) * ((y \ 1) * (z \ u))). T(x,(y \ 1) * ((y \ 1) * (z \ u))) = T(x,(y * (y * z)) \ u). T(x,y * (z * ((u \ 1) \ w))) != v5 | T(x,y * (z * ((1 / u) \ w))) = v5. T(x,(y \ 1) * ((y \ 1) * ((1 / z) \ u))) = T(x,(y * (y * (z \ 1))) \ u). T(x,y * (((y \ z) * (y \ z)) * u)) != w | T(x,z * (T(z,y) * (y \ u))) = w. T(x,y * (T(y,z) * (z \ u))) = T(x,T(u * (z \ y),z) * y). T(x,T(y * (z \ u),z) * u) = T(x,u * (T(u,z) * (z \ y))). T(x,(y \ z) * ((y \ z) * (y * u))) = T(x,T(u * (y \ z),y) * z). T(x,T((y * z) * u,y)) != w | T(x,z * (u * y)) = w. T(x,y * ((z \ K(u,w)) * v5)) = T(x,y * ((z * K(u,w)) \ v5)). T(x,y * ((z * K(u,w)) \ v5)) = T(x,y * ((z \ K(u,w)) * v5)). T(x,y * ((z * K(u,w)) \ v5)) != v6 | T(x,y * (z \ (v5 * K(u,w)))) = v6. T(x,y * (z \ (u * K(w,v5)))) = T(x,y * ((z \ K(w,v5)) * u)). x != T(y,T(z,(u * w) * v5)) | T(y,T(z,w * (u * v5))) = x. T(x,T(y,z * (u * (w * v5)))) = T(x,T(y,z * (u * ((1 / w) * v5)))). T(x,T(y,z * (u * ((1 / w) * v5)))) = T(x,T(y,z * (u * (w * v5)))). T(x,(y * z) * ((u \ y) / u)) = T(x,u \ (((y / u) * z) * y)). T(x,y \ (((z / y) * u) * z)) = T(x,(z * u) * ((y \ z) / y)). x != T(y,z * ((u \ w) / u)) | T(y,z * (u \ (w / u))) = x. T(x,(y * z) * (u \ (y / u))) = T(x,u \ (((y / u) * z) * y)). T(x,y \ (((z / y) * u) * z)) = T(x,(z * u) * (y \ (z / y))). T(x,y \ (((z / y) * u) * z)) != w | T(x,(z / y) * ((z / y) * T(u,z))) = w. T(x,(y / z) * ((y / z) * T(u,y))) = T(x,(y * u) * (z \ (y / z))). T(x,T(y,z * (u * (w \ v5)))) = T(x,T(y,z * (u * (w * v5)))). T(x,R(y,z,u) * (T(w,y) * v5)) = T(x,w * (R(y,z,u) * v5)). T(x,R(T(y,z),u,w) * (T(v5,T(y,z)) * z)) = T(x,v5 * (z * R(y,u,w))). T(x,(((y * z) \ y) * u) * w) != v5 | T(x,(z \ u) * w) = v5. T(x,(y \ z) * (u * y)) = T(x,u * ((y * u) \ (z * (u * y)))). T(x,y * ((z * y) \ (u * (y * z)))) = T(x,(z \ u) * (y * z)). x != T(y,(z \ u) * (w * z)) | T(y,T(u * w,z)) = x. T(x,T(y * z,u)) = T(x,z * ((u * z) \ (y * (z * u)))). T(x,y * ((z * y) \ (u * (y * z)))) = T(x,T(u * y,z)). x != T(y,((z \ u) * T(u,z)) * w) | T(y,u * (z \ (u * w))) = x. T(x,y * (z \ (y * u))) = T(x,(z \ y) * ((z \ y) * ((z \ 1) \ u))). T(x,(y \ z) * ((y \ z) * ((y \ 1) \ u))) = T(x,z * (y \ (z * u))). T(x,y * (z * ((u \ 1) \ w))) != v5 | T(x,y * (z * (u * w))) = v5. T(x,(y \ z) * ((y \ z) * (y * u))) = T(x,z * (y \ (z * u))). T(x,(y \ z) * ((y \ z) * (y * u))) != w | T(x,T(u * (y \ z),y) * z) = w. T(x,T(y * (z \ u),z) * u) = T(x,u * (z \ (u * y))). T(x,T(y * (z \ u),z) * u) != w | T(x,u * (T(u,z) * (z \ y))) = w. T(x,y * (T(y,z) * (z \ u))) = T(x,y * (z \ (y * u))). T(x,T(y * (z * ((u * z) \ 1)),z)) = T(x,((z \ 1) * y) * (u \ z)). T(x,(y * z) * T((u * y) \ 1,y)) = T(x,((y \ 1) * z) * (u \ y)). T(x,(y * z) * (u \ (1 / y))) = T(x,((y \ 1) * z) * (u \ y)). T(x,((y \ 1) * z) * (u \ y)) = T(x,(y * z) * (u \ (1 / y))). x != T(y,z * (u \ (1 / w))) | T(y,z / (w * u)) = x. T(x,(y * z) / (y * u)) = T(x,((y \ 1) * z) * (u \ y)). T(x,((y \ 1) * z) * (u \ y)) = T(x,(y * z) / (y * u)). T(x,(y \ z) * (u \ y)) = T(x,(y * z) / (y * u)). T(x,(y * z) / (y * u)) = T(x,(y \ z) * (u \ y)). x != T(y,(z \ u) * (w \ z)) | T(y,T(u / w,z)) = x. T(x,T(y / z,u)) = T(x,(u * y) / (u * z)). T(x,(y * z) / (y * u)) = T(x,T(z / u,y)). T(x,(y / (1 / (y * z))) / ((y / z) * u)) = T(x,T((z * (y * z)) / u,y / z)). T(x,T((y * (z * y)) / u,z / y)) = T(x,(z / (1 / (z * y))) / ((z / y) * u)). T(x,T(T(y * (z * u),z),w)) != v5 | T(x,T((z * y) * T(u,z),w)) = v5. T(x,(y * z) * (y * u)) != w | T(x,y * ((z * y) * u)) = w. T(x,y * ((z * y) * (u / (y * z)))) = T(x,y * ((z * y) \ (u * (y * z)))). T(x,y * ((z * y) \ (u * (y * z)))) = T(x,y * ((z * y) * (u / (y * z)))). T(x,(y \ 1) * ((y \ 1) * ((1 / z) \ u))) = T(x,(z \ (y * y)) \ u). x != T(y,(z \ u) \ w) | T(y,(u \ z) * w) = x. T(x,((y * y) \ z) * u) = T(x,(y \ 1) * ((y \ 1) * ((1 / z) \ u))). T(x,(y \ 1) * ((y \ 1) * ((1 / z) \ u))) = T(x,((y * y) \ z) * u). x != T(y,((z * z) \ u) * w) | T(y,(z \ (z \ u)) * w) = x. T(x,(y \ (y \ z)) * u) = T(x,(y \ 1) * ((y \ 1) * ((1 / z) \ u))). T(x,(y \ 1) * ((y \ 1) * ((1 / z) \ u))) = T(x,(y \ (y \ z)) * u). T(x,(y \ 1) * ((y \ 1) * (z * u))) = T(x,(y \ (y \ z)) * u). T(x,(y \ 1) * (y \ (z * u))) = T(x,(y \ (y \ z)) * u). T(x,y \ (y \ (z * u))) = T(x,(y \ (y \ z)) * u). T(x,y * (z \ (z \ u))) = T(x,(z \ (z \ y)) * u). T(x,(y \ (y \ z)) * u) = T(x,z * (y \ (y \ u))). T(x,(y \ (y \ z)) * (z * (y \ (y \ (y \ (y \ z)))))) != u | T(x,(y \ (y \ z)) \ 1) = u. T(x,(y \ (y \ z)) \ 1) = T(x,z * (y \ (y \ (z * (y \ (y \ (y \ (y \ z)))))))). T(x,y * (z \ (z \ (y * (z \ (z \ (z \ (z \ y)))))))) = T(x,(z \ (z \ y)) \ 1). x * y != T(z,(u \ (u \ w)) * v5) | x \ T(z,w * (u \ (u \ v5))) = y. x \ T(x,y * (z \ (z \ u))) = K(x,(z \ (z \ y)) * u). T(x,(y \ (z * (y \ z))) * u) = T(x,(z * T(z,y)) * (y \ (y \ u))). T(x,(y * T(y,z)) * (z \ (z \ u))) = T(x,(z \ (y * (z \ y))) * u). K(x,y * (z \ (z \ u))) = K(x,(z \ (z \ y)) * u). K(x,(y \ (y \ z)) * u) = K(x,z * (y \ (y \ u))). K(x,(y \ z) * u) = K(x,(y * z) * (y \ (y \ u))). K(x,(y * z) * (y \ (y \ u))) = K(x,(y \ z) * u). K(x,T(y * (z / u),u)) = K(x,(u \ y) * z). T(x,y * (T(z,T(u,w)) * v5)) != v6 | T(x,y * (T(z,u) * v5)) = v6. T(x,R(T(y,z),u,w) * (T(v5,y) * z)) = T(x,v5 * (z * R(y,u,w))). T(x,R(T(y,z),u,w) * (v5 * z)) != v6 | T(x,z * (R(y,u,w) * T(v5,z))) = v6. T(x,y * (R(z,u,w) * T(T(v5,z),y))) = T(x,v5 * (y * R(z,u,w))). T(x,y * ((z * y) \ (u * (y * z)))) != w | T(x,T(u * y,z)) = w. T(x,T(y * z,u)) = T(x,z * ((u * z) * (y / (z * u)))). T(x,y * ((z * y) * (u / (y * z)))) = T(x,T(u * y,z)). x != K(y,z \ ((u / w) \ v5)) | K(y,z \ ((w / u) * v5)) = x. K(x,L(y,z,z) \ ((z / 1) * u)) = K(x,(1 / z) \ (((z * y) * (1 / z)) \ u)). K(x,(1 / y) \ (((y * z) * (1 / y)) \ u)) = K(x,L(z,y,y) \ ((y / 1) * u)). L(T(x,y * (((x / 1) * z) * u)),x,x) = T(x,y * (x \ ((z * (u / x)) * x))). K(x,(1 / y) \ (((y * z) * (1 / y)) \ u)) = K(x,L(z,y,y) \ (y * u)). x != K(y,L(z,u,u) \ w) | K(y,z \ w) = x. K(x,y \ (z * u)) = K(x,(1 / z) \ (((z * y) * (1 / z)) \ u)). K(x,(1 / y) \ (((y * z) * (1 / y)) \ u)) = K(x,z \ (y * u)). K(x,(1 / y) \ ((y * (z / y)) \ u)) = K(x,z \ (y * u)). K(x,(1 / y) \ (((y / z) / y) * u)) = K(x,z \ (y * u)). K(x,y \ (((z / u) / z) * w)) != v5 | K(x,y \ (T(u,z) \ w)) = v5. K(x,(1 / y) \ (T(z,y) \ u)) = K(x,z \ (y * u)). K(x,(1 / y) \ z) != u | K(x,y * z) = u. K(x,y * (T(z,y) \ u)) = K(x,z \ (y * u)). K(x,T(y,z) * (z \ u)) = K(x,z \ (y * u)). K(x,T(y,z) * (z \ u)) != w | K(x,T((u / z) * y,u)) = w. K(x,T((y / z) * u,y)) = K(x,z \ (u * y)). L(T(x,y * ((x * z) * u)),x,x) = T(x,y * (x \ ((z * (u / x)) * x))). T(x,y * (x \ ((z * (u / x)) * x))) = L(T(x,y * ((x * z) * u)),x,x). T(x,y * T(z * (u / x),x)) = L(T(x,y * ((x * z) * u)),x,x). L(T(x,y * ((x * z) * u)),x,x) = T(x,y * T(z * (u / x),x)). x != T(y,z * T(u,y)) | T(y,z * u) = x. T(x,y * (z * (u / x))) = L(T(x,y * ((x * z) * u)),x,x). L(T(x,y * ((x * z) * u)),x,x) = T(x,y * (z * (u / x))). x != T(y,z * (u * (w / y))) | T(y,z * (u * (y \ w))) = x. T(x,y * (z * (x \ u))) = L(T(x,y * ((x * z) * u)),x,x). L(T(x,y * ((x * z) * u)),x,x) = T(x,y * (z * (x \ u))). T(x,(y * T(z,u \ (y / u))) * ((u \ y) / u)) = T(x,((u \ (y / u)) * y) * z). T(x,(y * ((z \ (u * y)) / z)) * u) != w | L(x,z \ (u * y),z \ (u * y)) = w. T(x,y * (z * (y * (u \ (1 / T(u,y)))))) = T(x,T(z * ((y / u) * (y / u)),y)). x != T(y,z / ((u / w) * v5)) | T(y,z * (v5 \ (w / u))) = x. T(x,(y / (1 / (y * z))) * (u \ (z / y))) = T(x,T((z * (y * z)) / u,y / z)). T(x,T((y * (z * y)) / u,z / y)) = T(x,(z / (1 / (z * y))) * (u \ (y / z))). T(x,y * (y * (z \ (z \ (z \ (z \ (z \ (z \ y)))))))) = T(x,(z \ (z \ y)) \ 1). T(x,y * ((z \ u) / z)) != w | T(x,y * (z \ (u / z))) = w. T(x,(y * T(z,u \ (y / u))) * (u \ (y / u))) = T(x,((u \ (y / u)) * y) * z). T(x,y * (z * ((u \ y) / u))) = T(x,T(z * ((y / u) * (y / u)),y)). T(x,T(y * ((z / u) * (z / u)),z)) = T(x,z * (y * ((u \ z) / u))). x != T(y,z * (u * ((w \ v5) / w))) | T(y,z * (u * (w \ (v5 / w)))) = x. T(x,y * (z * (u \ (y / u)))) = T(x,T(z * ((y / u) * (y / u)),y)). T(x,T(y * ((z / u) * (z / u)),z)) = T(x,z * (y * (u \ (z / u)))). T(x,T(y * ((z \ u) * (z \ u)),u)) = T(x,u * (y * (z \ (u / z)))). T(x,T(y * (z * z),u)) != w | T(x,z * (z * T(y,u))) = w. T(x,(y \ z) * ((y \ z) * T(u,z))) = T(x,z * (u * (y \ (z / y)))). x != T(y,(z / (1 / u)) * w) | T(y,(z * u) * w) = x. T(x,(y * (y * z)) * (u \ (z / y))) = T(x,T((z * (y * z)) / u,y / z)). T(x,T((y * (z * y)) / u,z / y)) = T(x,(z * (z * y)) * (u \ (y / z))). x != T(y,(z * (z * u)) * w) | T(y,z * (z * (u * w))) = x. T(x,y * (y * (z * (u \ (z / y))))) = T(x,T((z * (y * z)) / u,y / z)). T(x,T((y * (z * y)) / u,z / y)) = T(x,z * (z * (y * (u \ (y / z))))). T(x,T(y,z / u)) != w | T(x,T(y,u * z)) = w. T(x,T((y * (z * y)) / u,y * z)) = T(x,z * (z * (y * (u \ (y / z))))). T(x,y * (y * (z \ (z \ (z \ (z \ (z \ (z \ y)))))))) = T(x,(z * z) * (y \ 1)). T(x,(y * y) / z) = T(x,z * (z * (y \ (y \ (y \ (y \ (y \ (y \ z)))))))). T(x,y * (y * (z \ (z \ (z \ (z \ (z \ (z \ y)))))))) = T(x,(z * z) / y). x != T(y,(z * z) / u) | T(y,z * (z / u)) = x. T(x,y * (y / z)) = T(x,z * (z * (y \ (y \ (y \ (y \ (y \ (y \ z)))))))). T(x,y * (y * (z \ (z \ (z \ (z \ (z \ (z \ y)))))))) = T(x,z * (z / y)). x != T(y,a(z,u,w) * v5) | T(y,v5 * a(z,u,w)) = x. T(x,(a(y,z,u) / w) * a(y,z,u)) = T(x,w * (w * (a(y,z,u) \ (a(y,z,u) \ (a(y,z,u) \ (a(y,z,u) \ (a(y,z,u) \ (a(y,z,u) \ w)))))))). T(x,y * (y * (a(z,u,w) \ (a(z,u,w) \ (a(z,u,w) \ (a(z,u,w) \ (a(z,u,w) \ (a(z,u,w) \ y)))))))) = T(x,(a(z,u,w) / y) * a(z,u,w)). T(x,(y * z) * L(R(u,y,z),w,K(v5,v6))) = T(x,y * (L(u,w,K(v5,v6)) * T(z,u))). L(T(x \ y,x * (y * (y * (x \ y)))),x \ y,x \ y) = T(x \ y,x / ((y * x) \ 1)). x != T(y,y * (z * z)) | L(y,z,z) = x. L(x,y * (x * z),y * (x * z)) = L(T(x,(y * ((1 / (x * z)) \ y)) * z),x,x). L(T(x,(y * ((1 / (x * z)) \ y)) * z),x,x) = L(x,y * (x * z),y * (x * z)). L(T(x,y * ((1 / (x * z)) \ (y * z))),x,x) = L(x,y * (x * z),y * (x * z)). L(T(x,y * ((x * z) * (y * z))),x,x) = L(x,y * (x * z),y * (x * z)). L(T(x,y * ((x * z) * u)),x,x) != w | T(x,y * (z * (x \ u))) = w. T(x,y * (z * (x \ (y * z)))) = L(x,y * (x * z),y * (x * z)). L(x,y * (x * z),y * (x * z)) = T(x,y * (z * (x \ (y * z)))). L(T(x \ y,y * (y * y)),x \ y,x \ y) = T(x \ y,x / ((y * x) \ 1)). L(T(x \ y,y \ 1),x \ y,x \ y) = T(x \ y,x / ((y * x) \ 1)). L((x \ T(y,x)) \ 1,y \ x,y \ x) = T(y \ x,y / ((x * y) \ 1)). x != T(y,(K(z,u) * w) * v5) | T(y,w * (K(z,u) * v5)) = x. T(x,(y * z) * (K(z,u) * (T(z,u) \ w))) = T(x,T(z,u) * ((((1 / z) * y) * K(z,u)) * w)). T(x,T(y,z) * ((((1 / y) * u) * K(y,z)) * w)) = T(x,(u * y) * (K(y,z) * (T(y,z) \ w))). x != T(y,z * (u * (w \ (w / v5)))) | T(y,z * (u / v5)) = x. T(x,(y \ 1) * (((y \ 1) * z) / u)) = T(x,(y \ 1) * ((y \ 1) * ((z * (y \ 1)) * (y / u)))). T(x,(y \ 1) * ((y \ 1) * ((z * (y \ 1)) * (y / u)))) = T(x,(y \ 1) * (((y \ 1) * z) / u)). T(x,T(y,z) * ((((1 / y) * u) * K(y,z)) * w)) = T(x,(u * y) * (y \ w)). T(x,y * ((y \ z) * u)) = T(x,T(y,w) * ((((1 / y) * z) * K(y,w)) * u)). T(x,T(y,z) * ((((1 / y) * u) * K(y,z)) * w)) = T(x,y * ((y \ u) * w)). T(x,T(y,z) * ((T(u,y) / T(y,z)) * w)) = T(x,y * ((y \ u) * w)). T(x,y * ((T(z,u) / T(u,w)) * v5)) != v6 | T(x,y * ((T(u,w) \ z) * v5)) = v6. T(x,T(y,z) * ((T(y,z) \ u) * w)) = T(x,y * ((y \ u) * w)). x != T(y,z * (((u \ 1) * w) / v5)) | T(y,z * ((u \ w) / v5)) = x. T(x,(y \ 1) * ((y \ z) / u)) = T(x,(y \ 1) * ((y \ 1) * ((z * (y \ 1)) * (y / u)))). T(x,(y \ 1) * ((y \ 1) * ((z * (y \ 1)) * (y / u)))) = T(x,(y \ 1) * ((y \ z) / u)). x != T(y,(z \ 1) * u) | T(y,z \ u) = x. T(x,y \ ((y \ z) / u)) = T(x,(y \ 1) * ((y \ 1) * ((z * (y \ 1)) * (y / u)))). T(x,(y \ 1) * ((y \ 1) * ((z * (y \ 1)) * (y / u)))) = T(x,y \ ((y \ z) / u)). T(x,y * (z * ((u * (w \ 1)) * v5))) != v6 | T(x,y * (z * ((u / w) * v5))) = v6. T(x,(y \ 1) * ((y \ 1) * ((z / y) * (y / u)))) = T(x,y \ ((y \ z) / u)). T(x,(y \ 1) * (y \ ((z / y) * (y / u)))) = T(x,y \ ((y \ z) / u)). T(x,y \ (y \ ((z / y) * (y / u)))) = T(x,y \ ((y \ z) / u)). T(x,(y / z) * (z \ (z \ (z / u)))) = T(x,z \ ((z \ y) / u)). T(x,y * (z \ (u \ (u / w)))) != v5 | T(x,y / (w * z)) = v5. T(x,(y / z) / (u * z)) = T(x,z \ ((z \ y) / u)). T(x,y / (z * u)) = T(x,u \ ((u \ (y * u)) / z)). T(x,y \ ((y \ (z * y)) / u)) = T(x,z / (u * y)). T(x,y \ (T(z,y) / u)) = T(x,z / (u * y)). K(x,L((y / z) / ((u * (w \ 1)) \ 1),w / u,z)) = K(x,y / (((u * (w \ 1)) \ 1) * z)). K(x,L(y / (z \ 1),u,w)) != v5 | K(x,L(y * z,u,w)) = v5. K(x,L((y / z) * (u * (w \ 1)),w / u,z)) = K(x,y / (((u * (w \ 1)) \ 1) * z)). K(x,L(y * (z * (u \ 1)),w,v5)) != v6 | K(x,L(y * (z / u),w,v5)) = v6. K(x,L((y / z) * (u / w),w / u,z)) = K(x,y / (((u * (w \ 1)) \ 1) * z)). K(x,L((y / z) * (u / w),w / u,z)) != v5 | K(x,y * (z \ (u / w))) = v5. K(x,y * (z \ (u / w))) = K(x,y / (((u * (w \ 1)) \ 1) * z)). K(x,y / (((z * (u \ 1)) \ 1) * w)) = K(x,y * (w \ (z / u))). K(x,y / ((z \ 1) * u)) != w | K(x,y * (u \ z)) = w. K(x,y * (z \ (u * (w \ 1)))) = K(x,y * (z \ (u / w))). T(x,K(y,z * (u \ (w / v5))) * (z * (u \ (w / v5)))) = T(x,T(z * (u \ (w * (v5 \ 1))),y)). T(x,T(y * (z \ (u / w)),v5)) = T(x,T(y * (z \ (u * (w \ 1))),v5)). T(x,T(y * (z \ (u * (w \ 1))),v5)) = T(x,T(y * (z \ (u / w)),v5)). T(x,T((y * (z \ y)) / u,w)) = T(x,T(y * (z \ (y / u)),w)). T(x,T((y * ((z \ 1) \ y)) / u,w)) != v5 | T(x,T(T((z * y) * y,y) / u,w)) = v5. T(x,T(T((y * z) * z,z) / u,w)) = T(x,T(z * ((y \ 1) \ (z / u)),w)). x != T(y,T(z * ((u \ w) \ v5),v6)) | T(y,T(z * ((w \ u) * v5),v6)) = x. T(x,T(y * ((1 \ z) * (y / u)),w)) = T(x,T(T((z * y) * y,y) / u,w)). T(x,T(T((y * z) * z,z) / u,w)) = T(x,T(z * ((1 \ y) * (z / u)),w)). T(x,T(T((y * z) * z,z) / u,w)) = T(x,T(z * (y * (z / u)),w)). x != T(y,(z * u) * w) | T(y,L(z,w,u) * (u * w)) = x. T(x,L(y,z * (u * u),T(w,z)) * (T(w,z) * (z * (u * u)))) = T(x,L(y,T(w,z),z * (u * u)) * ((z * (u * u)) * w)). L(x,y * ((z \ u) * w),y * ((z \ u) * w)) = L(x,y * ((u / z) * w),y * ((u / z) * w)). L(x,y * ((z / u) * w),y * ((z / u) * w)) = L(x,y * ((u \ z) * w),y * ((u \ z) * w)). T(x,T(y * T((z * u) * u,w),z)) = T(x,(z * (u * u)) * (y * K(z * (u * u),w))). T(x,(y * (z * z)) * (u * K(y * (z * z),w))) = T(x,T(u * T((y * z) * z,w),y)). T(x,T(y * (z * z),u) * w) = T(x,T(w * T((y * z) * z,u),y)). T(x,T(y * T((z * u) * u,w),z)) = T(x,T(z * (u * u),w) * y). T(x,(y * ((z \ u) * (z \ u))) * L(w,z \ u,z \ u)) = T(x,(y * w) * (u * (z \ (u / z)))). T(x,y * L(z,u,u)) != w | T(x,y * z) = w. T(x,(y * ((z \ u) * (z \ u))) * w) = T(x,(y * w) * (u * (z \ (u / z)))). T(x,(y * (z * z)) * u) != w | T(x,y * (u * (z * z))) = w. T(x,y * (z * ((u \ w) * (u \ w)))) = T(x,(y * z) * (w * (u \ (w / u)))). T(x,(y * z) * (u * (w \ (u / w)))) = T(x,y * (z * ((w \ u) * (w \ u)))). x != T(y,z * (u * ((w \ v5) * (w \ v5)))) | T(y,z * (u * (v5 * (w \ (v5 / w))))) = x. T(x,y * (z * (u * (w \ (u / w))))) = T(x,(y * z) * (u * (w \ (u / w)))). T(x,(y * z) * (u * (w \ (u / w)))) = T(x,y * (z * (u * (w \ (u / w))))). T(x,(y * (z * z)) * ((z \ 1) * (u \ ((z \ 1) / u)))) = T(x,y * (T(z,z \ 1) * (u \ ((z \ 1) / u)))). K(a(x,y,z),T(u,w) \ 1) * T(T(a(x,y,z),u),v5) = T(T(a(x,y,z),T(v5,u \ 1)),K(u \ 1,w)). L(x,(y * (z * u)) \ (z * y),(y * (z * u)) \ (z * y)) = L(x,L(u,z,y),L(u,z,y)). T(x,L(T(y,y \ z),u,w) * (T(v5,L(T(y,z),u,w)) * z)) = T(x,v5 * (z / (1 / L(y,u,w)))). T(x,L(T(y,y \ z),u,w) * (T(v5,T(y,z)) * z)) = T(x,v5 * (z / (1 / L(y,u,w)))). T(x,L(T(y,y \ z),u,w) * (T(v5,y) * z)) = T(x,v5 * (z / (1 / L(y,u,w)))). a(x,y,K(z,T(u,w))) * T(T(a(x,y,z),u),v5) = T(T(a(x,y,z),T(v5,u \ 1)),K(u \ 1,w)). x * T(T(a(y,z,u),w),v5) != T(T(a(y,z,u),T(v5,w \ 1)),K(v6,v7)) | a(y,z,K(u,w)) = x. a(x,y,K(z,u)) = a(x,y,K(z,T(u,w))). a(x,y,K(z,T(u,w))) = a(x,y,K(z,u)). a(x,y,K(z,L(T(u,w),v5,v6))) = a(x,y,K(z,L(u,v5,v6))). a(x,y,K(z,u \ w)) = a(x,y,K(z,w / u)). a(x,y,K(z,u / w)) = a(x,y,K(z,w \ u)). a(x,y,K(z,(u \ w) * v5)) = a(x,y,K(z,w * (v5 / u))). a(x,y,K(z,u \ (w * v5))) = a(x,y,K(z,(v5 / u) * w)). a(x,y,K(z,u / (w * v5))) != v6 | a(y,L((u / v5) / w,w,v5),K(z,x)) = v6. a(x,L((y / z) / u,u,z),K(w,v5)) = a(v5,x,K(w,(u * z) \ y)). a(x,y,K(z / u,w)) = a(x,y,K(w,u \ z)). a(x,y,K(z,R(T(u,w),w,v5))) = a(x,y,K(z,(w * v5) \ ((w * u) * v5))). a(x,y,K(z,(u * w) \ ((u * v5) * w))) = a(x,y,K(z,R(T(v5,u),u,w))). a(x,y,K(z,z \ (u / w))) = a(x,y,K(z,(z * w) \ u)). a(x,y,K(z,(z * u) \ w)) = a(x,y,K(z,z \ (w / u))). a(x,y,K((z * z) / y,u)) != w | 1 = w. 1 = a(x,y,K(z,y \ (u * u))). a(x,y,K(z,y \ (u * u))) = 1. a(x,y * y,K(z,u)) = 1. (x * (y * (y * K(z,u)))) * 1 = (x * (y * y)) * K(z,u). x != a(y,z,K(u,u \ w)) | a(z,w,K(u,y)) = x. a(x,y / z,K(u,w)) = a(w,x,K(u,(u * z) \ y)). a(x,y,K(z,(z * u) \ w)) = a(y,w / u,K(z,x)). a(x,y,K(z,(z * u) \ w)) = a(y,w / u,K(x,z)). a(x,y,K(z,z \ (u \ w))) = a(y,w / u,K(x,z)). a(x,y,K(z,z \ u)) != w | a(y,u,K(z,x)) = w. a(x,y \ z,K(u,w)) = a(x,z / y,K(w,u)). a(x,y / z,K(u,w)) = a(x,z \ y,K(w,u)). a(x,y / z,K(u,w)) = a(x,z \ y,K(u,w)). a(x,y \ (y / z),K(u,w)) = a(x,(z * y) \ y,K(u,w)). a(x,(y * z) \ z,K(u,w)) = a(x,z \ (z / y),K(u,w)). x * (y * (y * K(z,u))) = (x * (y * y)) * K(z,u). (x * (y * y)) * K(z,u) = x * (y * (y * K(z,u))). (x * ((y \ z) * (y \ z))) * K(x,u) != w | (z / y) * ((z / y) * T(x,u)) = w. (x / y) * ((x / y) * T(z,u)) = z * ((y \ x) * ((y \ x) * K(z,u))). x * ((y \ z) * ((y \ z) * K(x,u))) = (z / y) * ((z / y) * T(x,u)). (x * (y * (y * K(z,u)))) / (y * (y * K(z,u))) = L(x,y * y,K(z,u)). x != a(y,z \ (z / u),K(w,v5)) | a(v5,y,K(u,w)) = x. a(x,y,K(z,u)) = a(y,(z * w) \ w,K(u,x)). a(x,(y * z) \ z,K(u,w)) = a(w,x,K(y,u)). x * (y * (y * K(x,z))) != u | y * (y * T(x,z)) = u. (x \ y) * ((x \ y) * T(z,u)) = (y / x) * ((y / x) * T(z,u)). (x / y) * ((x / y) * T(z,u)) = (y \ x) * ((y \ x) * T(z,u)). T(x,(y \ z) * ((y \ z) * T(u,z))) = T(x,(z * u) * (y \ (z / y))). T(x,(y \ z) * ((y \ z) * T(u,z))) != w | T(x,z * (u * (y \ (z / y)))) = w. T(x,y * (z * (u \ (y / u)))) = T(x,(y * z) * (u \ (y / u))). T(x,(y * z) * (u \ (y / u))) = T(x,y * (z * (u \ (y / u)))). T(x,(y * T(z,u \ (y / u))) * (u \ (y / u))) != w | T(x,((u \ (y / u)) * y) * z) = w. T(x,((y \ (z / y)) * z) * u) = T(x,z * (T(u,y \ (z / y)) * (y \ (z / y)))). T(x,y * (T(z,u \ (y / u)) * (u \ (y / u)))) = T(x,((u \ (y / u)) * y) * z). T(x,(y * (1 / z)) * (u \ ((1 / z) / u))) = T(x,(1 / z) * (T(y,z \ 1) * (u \ ((1 / z) / u)))). T(x,(1 / y) * (T(z,y \ 1) * (u \ ((1 / y) / u)))) = T(x,(z * (1 / y)) * (u \ ((1 / y) / u))). T(x,((y * (1 / z)) \ 1) * (u \ ((y \ 1) / u))) = T(x,(y \ 1) * (T(z,y) * (u \ ((y \ 1) / u)))). a(x,y,K(z,(u * w) \ ((u * v5) * w))) = a(x,y,K(z,L(T(v5,u),u,w))). x = L(x,y * y,K(z,u)). L(x,y * y,K(z,u)) = x. a(x,y,z * z) \ u = u / a(x,y,z * z). x / a(y,z,u * u) = a(y,z,u * u) \ x. L(T(x,y * (y * K(z,u))),y * y,K(z,u)) != w | T(T(x,y * y),K(z,u)) = w. T(T(x,y * y),K(z,u)) = T(x,y * (y * K(z,u))). L(L(x,y,y),y * y,K(z,u)) != w | T(x,L(y * y,z,u)) = w. T(x,L(y * y,z,u)) = L(x,y,y). x / a(y,z,u * u) != w | a(y,z,u * u) \ x = w. x \ y != T(z,L(u * u,w,v5)) | x * L(z,u,u) = y. L(x * x,y,z) * L(u,x,x) = u * L(x * x,y,z). R(x * x,y,z) \ L(u,x,x) = u * (R(x * x,y,z) \ 1). T(L(x,y,y),K(z,u)) = T(x,y * (y * K(z,u))). T(x,y * (y * K(z,u))) = T(L(x,y,y),K(z,u)). L(T(x,K(y,z)),u,u) = T(x,u * (u * K(y,z))). T(x,y * (y * K(z,u))) = L(T(x,K(z,u)),y,y). T(x,y * T(y,z)) = L(T(x,K(y,z)),y,y). L(T(x,K(y,z)),y,y) = T(x,y * T(y,z)). L(T(x,y * T(y,z)),y,y) = T(x,K(y,z)). L(T(x,K(y,z)),u,u) != w | T(x,u \ (u \ K(y,z))) = w. T(x,y \ (y \ K(y,z))) = T(x,y * T(y,z)). L(T(T(x,y * T(y,z)) \ 1,u),y,y) = T(T(x,K(y,z)) \ 1,u). T(x,y \ (z \ K(z,u))) != w | T(x,y \ (T(z,u) \ 1)) = w. T(x,y \ (T(y,z) \ 1)) = T(x,y * T(y,z)). T(x,y \ (T(z,u) \ 1)) != w | T(x,y \ T(z \ 1,u)) = w. T(x,y \ T(y \ 1,z)) = T(x,y * T(y,z)). T(x,y \ (T(y,z) \ 1)) != u | T(x,(y * (z * y)) \ z) = u. T(x,(y * (z * y)) \ z) = T(x,y * T(y,z)). T(x,y * T(y,z)) * (y \ (T(y,z) \ 1)) = (y \ (T(y,z) \ 1)) * x. L(x,y,(T(z,u * T(u,w)) \ 1) * (u \ T(1 / u,w))) = L(x,y,(u \ T(1 / u,w)) / z). T(x,y \ T(y \ 1,z)) != u | T(x,z \ (y \ (z / y))) = u. T(x,y \ (z \ (y / z))) = T(x,z * T(z,y)). (x * T(x,y)) * T(z,x * T(x,y)) = z / (x \ (T(x,y) \ 1)). x * (y * T(y,z)) = x / (y \ (T(y,z) \ 1)). x / (y \ (T(y,z) \ 1)) = x * (y * T(y,z)). x * (y \ (T(y,z) \ 1)) = x / (y * T(y,z)). x * (T(1 / y,z) \ y) = x / ((1 / y) * T(1 / y,z)). x / ((1 / y) * T(1 / y,z)) = x * (T(1 / y,z) \ y). L(x,y,z / (u * T(u,w))) = L(x,y,(z / u) / T(u,w)). L(x,y,(z / u) / T(u,w)) = L(x,y,z / (u * T(u,w))). x / (y \ T(1 / y,z)) = x * (T(1 / y,z) \ y). (x \ (1 * (T(1 / y,z) \ y))) \ 1 = T(y \ 1,z) * (y \ ((x \ 1) \ 1)). T(((x \ 1) \ 1) * (T(1 / y,z) \ y),x \ 1) = 1 / (x \ (y \ T(1 / y,z))). L(x,y,(z / u) / T(u,w)) != v5 | L(x,y,z * (u \ T(u \ 1,w))) = v5. L(x,y,z * (u \ T(u \ 1,w))) = L(x,y,z / (u * T(u,w))). L(x,y,z \ (u \ T(u \ 1,w))) = L(x,y,(z \ a(v5,v6,v6)) / (u * T(u,w))). L(x,y,(z \ a(u,w,w)) / (v5 * T(v5,v6))) = L(x,y,z \ (v5 \ T(v5 \ 1,v6))). (x * T(x,y)) \ z = (x \ (T(x,y) \ 1)) * z. (x \ (T(x,y) \ 1)) * z = (x * T(x,y)) \ z. (x \ (T(x,y) \ 1)) \ z = (x * T(x,y)) * z. (x \ (T(x,y) \ 1)) * z != u | K(x,y) * ((x * x) \ z) = u. K(x,y) * ((x * x) \ z) = (x * T(x,y)) \ z. (x \ (y \ (x \ y))) \ z = (x * T(x,y)) * z. (1 / x) * (T(x,y) \ z) = (x * T(x,y)) \ z. T(x,y) \ ((x \ 1) * z) = (x * T(x,y)) \ z. L(x,y,(z * T(z,u)) \ w) = L(x,y,z \ (T(z,u) \ w)). T(x,y) \ z = (x * T(x,y)) \ ((x \ 1) \ z). (x * T(x,y)) \ ((x \ 1) \ z) = T(x,y) \ z. (T(1 / x,y) \ x) * ((T(x,y) \ y) * z) = ((y / x) \ ((x \ 1) \ y)) * ((y / x) * z). ((x / y) \ ((y \ 1) \ x)) * ((x / y) * z) = (T(1 / y,x) \ y) * ((T(y,x) \ x) * z). x != a(y,z,K(u,L(T(w,v5),v6,v7))) | a(y,z,K(u,L(w,v6,v7))) = x. a(x,y,K(z,L(u,w,v5))) = a(x,y,K(z,(w * v5) \ ((w * u) * v5))). a(x,y,K(z,(u * w) \ ((u * v5) * w))) = a(x,y,K(z,L(v5,u,w))). a(x,y,K(z,u \ (w * v5))) != v6 | a(x,y,K(z,(v5 / u) * w)) = v6. a(x,y,K(z,(u / (w * u)) * (w * v5))) = a(x,y,K(z,L(v5,w,u))). a(x,y,K(z,u \ (u * w))) = a(x,y,K(z,L(w,u,v5))). a(x,y,K(z,L(u,w,v5))) = a(x,y,K(z,w \ (w * u))). a(x,y,K(z,L(u,w,v5))) = a(x,y,K(z,u)). a(x,y,K(z,L(u,w,v5))) != v6 | a(L(u,w,v5),x,K(y,z)) = v6. a(L(x,y,z),u,K(w,v5)) = a(u,w,K(v5,x)). a(x,y,K(z,L(u,w,v5))) != v6 | a(y,L(z,w,v5),K(u,x)) = v6. a(x,L(y,z,u),K(w,v5)) = a(v5,x,K(y,w)). a(x,y,K(z,(u * w) \ v5)) = a(x,y,K(z,w \ (u \ v5))). a(x,y,K(z,u)) * a(x,y,z) = T(a(x,y,z),L(u,w,v5)). T(a(x,y,z),L(u,w,v5)) = a(x,y,K(z,u)) * a(x,y,z). a(L(x,y,z),u,K(w,v5)) = a(u,w,K(x,v5)). a(x,L((y / z) / u,u,z),K(w,v5)) != v6 | a(v5,x,K(w,(u * z) \ y)) = v6. a(x,y,K(z,(u * w) \ v5)) = a(x,y,K((v5 / w) / u,z)). a(x,y,K((z / u) / w,v5)) = a(x,y,K(v5,(w * u) \ z)). a(x,L(y \ 1,z,u),K(w,v5)) != v6 | a(x,a(y,u,z) \ y,K(w,v5)) = v6. a(x,a(y,z,u) \ y,K(w,v5)) = a(v5,x,K(y \ 1,w)). L(1 / L(x,y,z),K(u,w),v5) \ 1 = a(v5,u,K(x,w)) * L(x,y,z). x != a(y,z,K(u \ 1,w)) | a(y,z,K(w,u)) = x. a(x,y,K(z,u)) = a(y,a(u,w,v5) \ u,K(z,x)). a(x,a(y,z,u) \ y,K(w,v5)) = a(v5,x,K(w,y)). a(x,a(y,z,u) \ y,K(w,v5)) = a(v5,x,K(y,w)). x != a(y,z,K(u,w)) * a(y,z,u) | T(a(y,z,u),w) = x. T(a(x,y,z),u) = T(a(x,y,z),L(u,w,v5)). T(a(x,y,z),L(u,w,v5)) = T(a(x,y,z),u). T(a(x,y,z),L(u * w,v5,v6)) != v7 | T(a(x,y,z),u * (w * K(v6,v5))) = v7. T(a(x,y,z),u * (w * K(v5,v6))) = T(a(x,y,z),u * w). ((L(x,y,z) / T(a(x \ 1,z,y),x)) * u) * a(x \ 1,z,y) = x * (u * a(x \ 1,z,y)). a(x,y,K(z / u,w)) != v5 | a(x,y,K(w,u \ z)) = v5. a(x,y,K(z,u \ (w / v5))) = a(x,y,K(z,(u * v5) \ w)). a(x,y,K(z,(u * w) \ v5)) = a(x,y,K(z,u \ (v5 / w))). T(a(x,y,z),u) = T(a(x,y,z),u * K(w,v5)). T(a(x,y,z),u * K(w,v5)) = T(a(x,y,z),u). T(a(x,y,z),u * (w / T(u,v5))) = T(a(x,y,z),w). a(x,y,K(z,(u * w) \ v5)) != v6 | a(x,y,K(z,w \ (u \ v5))) = v6. a(x,y,K(z,u \ (w \ v5))) = a(x,y,K(z,w \ (v5 / u))). L(1 / L(x,y,z),u,K(w,v5)) \ 1 = a(w,v5,K(x,u)) * L(x,y,z). (1 / L(L(x,y,z),u,K(w,v5))) \ 1 = a(w,v5,K(x,u)) * L(x,y,z). L(L(x,y,z),u,K(w,v5)) = a(w,v5,K(x,u)) * L(x,y,z). a(x,y,K(z,u)) * L(z,w,v5) = L(L(z,w,v5),u,K(x,y)). x * y != a(z,u,K(w,v5)) * L(w,v6,v7) | x \ L(L(w,v6,v7),v5,K(z,u)) = y. x \ L(L(x,y,z),u,K(w,v5)) = L(x,u,K(w,v5)) \ L(x,y,z). L(x,y,K(z,u)) \ L(x,w,v5) = x \ L(L(x,w,v5),y,K(z,u)). L(x,y,K(z,u)) \ L(x,u,z) != w | T(x \ L(x,u,z),y) = w. T(x \ L(x,y,z),u) = x \ L(L(x,y,z),u,K(z,y)). x \ L(L(x,y,z),u,K(z,y)) = T(x \ L(x,y,z),u). x \ L(x,y,T(z,u)) = T(x \ L(x,y,z),u). T(x \ L(x,y,z),u) = x \ L(x,y,T(z,u)). T(a(x,y,z),u) = (1 / x) \ L(1 / x,z,T(y,u)). (1 / x) \ L(1 / x,y,T(z,u)) = T(a(x,z,y),u). a(x,T(y,z),u) = T(a(x,y,u),z). T(a(x,y,z),u) != w | a(x,T(y,u),z) = w. x != T(a(y,z,u),w) | (a(y,z,u) \ w) \ w = x. (a(x,y,z) \ u) \ u = a(x,T(y,u),z). x \ y != T(a(z,u,w),v5) | x * a(z,T(u,v5),w) = y. x * a(y,T(z,x),u) = a(y,z,u) * x. (x \ (T(1 / y,z) \ y)) \ 1 = T(y \ 1,z) * (y \ ((x \ 1) \ 1)). T(x \ 1,y) * (x \ ((z \ 1) \ 1)) = (z \ (T(1 / x,y) \ x)) \ 1. x \ (1 / (x / y)) = (y \ (T(1 / x,y) \ x)) \ 1. (x \ (T(1 / y,x) \ y)) \ 1 = y \ (1 / (y / x)). T(x \ 1,y) * (x \ ((z \ 1) \ 1)) != u | ((z \ (x \ T(1 / x,y))) \ (x \ T(1 / x,y))) * (x \ T(1 / x,y)) = u. ((x \ (y \ T(1 / y,z))) \ (y \ T(1 / y,z))) * (y \ T(1 / y,z)) = (x \ (T(1 / y,z) \ y)) \ 1. L(x,y,(z \ a(u,w,w)) / v5) != v6 | L(x,y,z \ (v5 \ 1)) = v6. L(x,y,z \ ((u * T(u,w)) \ 1)) = L(x,y,z \ (u \ T(u \ 1,w))). L(x,y,z \ (u \ (T(u,w) \ 1))) = L(x,y,z \ (u \ T(u \ 1,w))). L(x,y,z \ (u \ T(u \ 1,w))) = L(x,y,z \ (u \ (T(u,w) \ 1))). T(x,y * ((z \ (y / z)) * u)) = T(x,((z \ (y / z)) * y) * u). T(x,((y \ (z / y)) * z) * u) = T(x,z * ((y \ (z / y)) * u)). T(x,(y * ((z \ y) / z)) * u) = T(x,y * ((z \ (y / z)) * u)). T(x,(y * ((z \ u) / z)) * w) != v5 | T(x,(y * (z \ (u / z))) * w) = v5. T(x,(y * (z \ (y / z))) * u) = T(x,y * ((z \ (y / z)) * u)). T(x,(y * (z \ (y / z))) * u) != w | T(x,(z \ (y * (z \ y))) * u) = w. T(x,(y \ (z * (y \ z))) * u) = T(x,z * ((y \ (z / y)) * u)). T(x,(y \ (z * (y \ z))) * u) != w | T(x,(z * T(z,y)) * (y \ (y \ u))) = w. T(x,(y * T(y,z)) * (z \ (z \ u))) = T(x,y * ((z \ (y / z)) * u)). T(x,(y * T(y,z)) * u) != w | T(x,y * (T(y,z) * u)) = w. T(x,y * (T(y,z) * (z \ (z \ u)))) = T(x,y * ((z \ (y / z)) * u)). T(x,y * (T(y,z) * (z \ u))) != w | T(x,y * (z \ (y * u))) = w. T(x,y * (z \ (y * (z \ u)))) = T(x,y * ((z \ (y / z)) * u)). (T(1 / x,y) \ x) * (1 / (z \ 1)) = 1 / (z \ (x \ T(1 / x,y))). (T(1 / x,y) \ x) * z = 1 / (z \ (x \ T(1 / x,y))). 1 / (x \ (y \ T(1 / y,z))) = (T(1 / y,z) \ y) * x. 1 / (x \ (y \ T(1 / y,z))) != u | y * (T(y \ 1,z) \ x) = u. x * (T(x \ 1,y) \ z) = (T(1 / x,y) \ x) * z. (T(1 / x,y) \ x) * z = x * (T(x \ 1,y) \ z). x != (T(1 / y,z) \ y) * u | y * (T(y \ 1,z) \ u) = x. x * (T(x \ 1,y) \ ((T(x,y) \ y) * z)) = ((y / x) \ ((x \ 1) \ y)) * ((y / x) * z). ((x / y) \ ((y \ 1) \ x)) * ((x / y) * z) = y * (T(y \ 1,x) \ ((T(y,x) \ x) * z)). ((x / y) \ ((y \ 1) \ x)) * ((x / y) * z) = y * ((x * (z * y)) / y). (x * T(x,y)) * ((y / x) * z) = x * ((y * (z * x)) / x). L(x,y,T(z,u * T(u,w)) \ (u \ T(1 / u,w))) = L(x,y,(u \ T(1 / u,w)) / z). L(x,y,z \ (u \ T(1 / w,v5))) != v6 | L(x,y,z \ (u \ T(w \ 1,v5))) = v6. L(x,y,T(z,u * T(u,w)) \ (u \ T(u \ 1,w))) = L(x,y,(u \ T(1 / u,w)) / z). L(x,y,z \ (u \ T(u \ 1,w))) != v5 | L(x,y,z \ (u \ (T(u,w) \ 1))) = v5. L(x,y,T(z,u * T(u,w)) \ (u \ (T(u,w) \ 1))) = L(x,y,(u \ T(1 / u,w)) / z). L(x,y,(z * T(z,u)) \ (w \ 1)) = L(x,y,(z \ T(1 / z,u)) / w). L(x,y,(z \ T(1 / z,u)) / w) = L(x,y,(z * T(z,u)) \ (w \ 1)). x != L(y,z,(u * T(u,w)) \ v5) | L(y,z,u \ (T(u,w) \ v5)) = x. L(x,y,z \ (T(z,u) \ (w \ 1))) = L(x,y,(z \ T(1 / z,u)) / w). L(x,y,(z \ T(1 / z,u)) / w) = L(x,y,z \ (T(z,u) \ (w \ 1))). L(x,y,(z \ T(1 / z,T(u,w) \ 1)) / u) != v5 | L(x,y,((w \ (z \ w)) * (1 / u)) / T(z,w)) = v5. L(x,y,((z \ (u \ z)) * (1 / w)) / T(u,z)) = L(x,y,u \ (T(u,T(w,z) \ 1) \ (w \ 1))). L(x,y,z \ (T(z,T(u,w) \ 1) \ (u \ 1))) = L(x,y,((w \ (z \ w)) * (1 / u)) / T(z,w)). ((L(x,y,z) / a(x \ 1,z,y)) * u) * a(x \ 1,z,y) = x * (u * a(x \ 1,z,y)). (x * y) * a(x \ 1,z,u) = x * (y * a(x \ 1,z,u)). (x * y) * a(x \ 1,z,u) != w | T(L(x,u,z) * y,a(x \ 1,z,u)) = w. T(L(x,y,z) * u,a(x \ 1,z,y)) = x * (u * a(x \ 1,z,y)). L(L(x,y,z) * u,y,K(x \ 1,z)) = x * (u * a(x \ 1,z,y)). L(L(x,y,z) * u,y,K(z,x \ 1)) = x * (u * a(x \ 1,z,y)). L(L(x,y,z) * u,y,K(x,z)) = x * (u * a(x \ 1,z,y)). L(L(x,y,z) * (x \ u),y,K(x,z)) != w | u * (x \ L(x,y,z)) = w. x * (y \ L(y,z,u)) = y * ((y \ x) * a(y \ 1,u,z)). x * ((x \ y) * a(x \ 1,z,u)) = y * (x \ L(x,u,z)). x * ((x \ y) * a(x \ 1,z,u)) != w | (y * L(x,u,z)) / x = w. (x * L(y,z,u)) / y = x * (y \ L(y,z,u)). (x * L(y,z,u)) / y != w | (x / y) * L(y,z,u) = w. (x / y) * L(y,z,u) = x * (y \ L(y,z,u)). ((x * y) * L(x,z,u)) / x != w | x * (y * (x \ L(x,z,u))) = w. x * (y * (x \ L(x,z,u))) = (x * y) * (x \ L(x,z,u)). (x * y) * (x \ L(x,z,u)) = x * (y * (x \ L(x,z,u))). x * L(y,z,u) = (x * y) * (y \ L(y,z,u)). (x * y) * (y \ L(y,z,u)) = x * L(y,z,u). x * y != (z * u) * L(w,u,z) | x \ (z * (u * w)) = y. ((x * y) * z) \ (x * (y * z)) = z \ L(z,y,x). ((x * y) * z) \ (x * (y * z)) != u | a(x,y,z) \ 1 = u. a(x,y,z) \ 1 = z \ L(z,y,x). L(x,y,z) * a(z,y,x) = x. a(x \ 1,y,z) = a(y,z,x) \ 1. a(x,y,z) \ 1 != u | (w * a(x,y,z)) \ w = u. (x * a(y,z,u)) \ x = u \ L(u,z,y). x \ 1 != y \ L(y,z,u) | L(y,z,u) \ y = x. L(x,y,z) \ x = a(z,y,x). a(x,y,z) = L(z,y,x) \ z. (x \ L(x,y,z)) * u = a(z,y,x) \ u. (x \ L(x,y,z)) \ u = a(z,y,x) * u. x * (y \ L(y,z,u)) = x / a(u,z,y). x / a(y,z,x) = L(x,z,y). L(x,y,z) = x / a(z,y,x). L(x,y,z) \ x != u | a(z,y,x) = u. x / L(x,y,z) = a(z,y,x). a(x,y,z) = z / L(z,y,x). x != L(y,z,u) \ y | y * (L(y,z,u) \ 1) = x. x * (L(x,y,z) \ 1) = a(z,y,x). a(x,y,z) = z * (L(z,y,x) \ 1). x != L(T(y,z),u,w) \ T(y,z) | L(y,u,T(w,z)) \ y = x. L(x,y,T(z,u)) \ x = a(z,y,T(x,u)). x != L(y / z,u,w) \ (y / z) | a(z / y,w,u) \ 1 = x. a(x / y,z,u) \ 1 = a(z,u,y / x). x != L(y \ z,u,w) \ (y \ z) | a(z \ y,w,u) \ 1 = x. a(x \ y,z,u) \ 1 = a(z,u,y \ x). a(x,y,z) * L(z,y,x) = z. a(x,y,z) \ z = L(z,y,x). L(x,y,z) = a(z,y,x) \ x. 1 / a(x,y,z) = a(z \ 1,x,y). a(x \ 1,y,z) = 1 / a(y,z,x). a(x \ 1,y,z) \ z = z * a(y,z,x). (x * a(y,z,u)) \ x = a(u \ 1,y,z). x / a(y \ 1,z,u) = x * a(z,u,y). a(x,y,z) * u = z * (L(z,y,x) \ u). x * (L(x,y,z) \ u) = a(z,y,x) * u. x \ (a(y,z,x) * u) = L(x,z,y) \ u. a(x,y,z) \ u = L(z,y,x) * (z \ u). L(x,y,z) * (x \ u) = a(z,y,x) \ u. L(x,y,z) \ (x * u) = a(z,y,x) * u. a(x,y,z) * (L(z,y,x) * u) = z * u. a(x,y,z * u) * w = a(u \ (z \ 1),x,y) \ w. a(x \ (y \ 1),z,u) \ w = a(z,u,y * x) * w. a(x,y,z) \ z != u | L(z,y,x) = u. T(x * L(x,y,z),x) = (T(a(z,y,x),x) / x) \ x. (T(a(x,y,z),z) / z) \ z = T(z * L(z,y,x),z). (x / a(y,z,x)) * ((x \ a(y,z,x)) \ 1) = (a(y,z,x) / x) \ L(x,z,y). (x / a(y,z,x)) / (x \ a(y,z,x)) = (a(y,z,x) / x) \ L(x,z,y). a(a(x \ 1,y,z),u,w) = a(y,z,x) \ L(a(y,z,x),w,u). a(x,y,z) \ L(a(x,y,z),u,w) = a(a(z \ 1,x,y),w,u). a(x \ 1,y,z) * u = a(y,z,x) \ u. a(x \ 1,y,z) \ u = a(y,z,x) * u. x * a(y \ 1,z,u) = x / a(z,u,y). x / a(y \ 1,z,u) != w | x * a(z,u,y) = w. a(x,y,z) * u = a(y,z,x \ 1) \ u. a(x,y,z \ 1) \ u = a(z,x,y) * u. (x \ L(x,y,z)) \ (x \ u) != w | L(x,y,z) \ u = w. 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(z,u,w)) \ (z \ v5) | x \ (L(z,u,w) \ v5) = y. a(x,y,z) \ (L(z,y,x) \ u) = z \ u. a(x,y,z) \ u = a(y,z,x \ 1) * u. a(x,y,z \ 1) * u = a(z,x,y) \ u. (x * y) * (y \ L(y,z,u)) != w | x * L(y,z,u) = w. x * L(y,z,u) = (x * y) / a(u,z,y). (x * y) / a(z,u,y) = x * L(y,u,z). x * a(y \ (z \ 1),u,w) = x / a(u,w,z * y). a(T(x,y),z,u) = a(x,z,T(u,y)). a(x,y,T(z,u)) \ z = L(z,y,T(x,u)). a(T(x,y),z,u) != w | a(x,T(z,y),u) = w. a(x,T(y,z),u) = a(x,y,T(u,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,u) = a(y / x,z,T(u,x)). a(x / y,z,T(u,y)) = a(y \ x,z,u). a(x,y,T(z / u,z)) != w | a(x,y,u \ z) = w. a(x,y,z \ x) = a(x,y,x / z). a(x,y,x / z) = a(x,y,z \ x). a(x,y,T(z * u,z)) != w | a(x,y,u * z) = w. a(x,y,z * x) = a(x,y,x * z). a(x,T(y,z),u) = a(x,y,T(u,y * z)). a(x,y,T(z,y * u)) = a(x,T(y,u),z). a(x,T(y,z),u) != w | (a(x,y,u) \ z) \ z = w. (a(x,y,z) \ u) \ u = a(x,y,T(z,u)). a(x,T(y,z),u) != w | T(a(x,y,u),z) = w. T(a(x,y,z),u) = a(x,y,T(z,u)). a(x,y,T(z,u)) = T(a(x,y,z),u). a(x,T(y,x * z),u) != w | a(x,T(y,z),u) = w. a(x,T(y,z),u) = a(x,y,T(u,x * z)). a(x,y,T(z,x * u)) = a(x,T(y,u),z). a(x,T(y * z,z),u) != w | a(x,z * y,u) = w. a(x,y * z,u) = a(x,z * y,T(u,y)). a(x,y * z,T(u,z)) = a(x,z * y,u). x * a(y,z,T(u,x)) = a(y,z,u) * x. a(x \ 1,y,(x \ 1) / (x / z)) = a(x \ 1,y,x \ (x \ z)). x != T(a(y,z,u),K(w,v5)) | a(y,z,u) = x. a(x,y,z) = a(x,y,T(z,K(u,w))). a(x,y,T(z,K(u,w))) = a(x,y,z). a(x,y,T(z,u * w)) = a(x,y,T(z,w * u)). a(x,y,z) \ 1 != u | a(z \ 1,x,y) = u. a(x \ 1,y / z,u) = a(u,x,z / y). a(x \ 1,y \ z,u) = a(u,x,z \ y). a(x,y,z) \ 1 != u | z \ L(z,y,x) = u. x \ L(x,y,z \ u) = a(y,x,u \ z). x \ y != a(z \ u,w,v5) \ 1 | x * a(w,v5,u \ z) = y. x * a(y,x,z \ u) = L(x,y,u \ z). a(x,y,z) \ 1 = a(y,z,x \ 1). a(x,y,z \ 1) = a(z,x,y) \ 1. x != a(y,z,u) \ 1 | a(u \ 1,y,z) = x. a(x \ 1,y,z) = a(z,x,y \ 1). x != a(y,z,u) \ 1 | u \ L(u,z,y) = x. x \ L(x,y,z) = a(y,x,z \ 1). a(x,y,z \ 1) = y \ L(y,x,z). x \ y != a(z,u,w) \ 1 | x * a(u,w,z \ 1) = y. x * a(y,x,z \ 1) = L(x,y,z). L(x,y,z) = x * a(y,x,z \ 1). x * a(y,z,u \ 1) = x / a(u,y,z). a((x * y) \ 1,z,u) != w | a(y \ (x \ 1),z,u) = w. a(x \ (y \ 1),z,u) = a(u,y * x,z \ 1). a(x \ y,z,u) = a(u,y \ x,z \ 1). a(x,y \ z,u \ 1) = a(z \ y,u,x). a((x \ 1) \ 1,y,z) != u | a(x,y,z) = u. a(x,y,z) = a(z,x \ 1,y \ 1). a(x,y \ 1,z \ 1) = a(y,z,x). x \ y != a(z,u,(w \ 1) \ 1) | x * a(z,u,w) = y. x * a(y,x,z) = L(x,y,z \ 1). L(x,y,z \ 1) = x * a(y,x,z). a(x,y,z \ 1) != u | a(y \ 1,z,x) = u. x \ L(x,y,z) != u | a(y,x,z \ 1) = u. x \ L(x,y,z \ 1) != u | a(y,x,z) = u. x * (y * (L(x,z,u) \ 1)) = a(u,z,x) * T(y,L(x,z,u)). a(x,y,z) * T(u,L(z,y,x)) = z * (u * (L(z,y,x) \ 1)). a(x,y,z) \ (z * u) = L(z,y,x) * u. x \ y != z * (L(z,u,w) \ v5) | x * (a(w,u,z) * v5) = y. (1 / x) * (a(y,z,x) * u) = L(L(x,z,y) \ u,x,x). L(L(x,y,z) \ u,x,x) = (1 / x) * (a(z,y,x) * u). x * T(y,L(x,z,u)) = a(u,z,x) * (y * L(x,z,u)). a(x,y,z) * (u * L(z,y,x)) = z * T(u,L(z,y,x)). a(x,y,z) * (z \ u) != w | L(z,y,x) \ u = w. x * (L(x,y,z) \ (x * T(u,L(x,y,z)))) = u * (a(z,y,x) * x). L(x,y,z) / (x \ (a(z,y,x) * 1)) = (1 / L(x,y,z)) \ L(x,y,z). L(x,y,z) * (x \ u) != w | (L(x,y,z) * u) / T(x,u) = w. (L(x,y,z) * u) / T(x,u) = a(z,y,x) \ u. L(x,y,z) * (x \ T(u,x)) != w | (L(x,y,z) * u) / x = w. (L(x,y,z) * u) / x = a(z,y,x) \ T(u,x). 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) * L(w,y,x) = a(u,z,x * y) \ (x * (y * w)). a(x,y,z * u) \ (z * (u * w)) = L(z * u,y,x) * L(w,u,z). L(x,y,z) * ((x \ u) \ 1) = a(z,y,x) \ ((u / x) \ x). a(x,y,z) \ ((u / z) \ z) = L(z,y,x) * ((z \ u) \ 1). T(a(x,y,z) \ u,z) = (L(z,y,x) * u) / z. (L(x,y,z) * u) / x = T(a(z,y,x) \ u,x). x \ y != L(z,u,w) \ (z * v5) | x * (a(w,u,z) * v5) = y. x * (a(y,z,x) * u) = a(y,z,x) * (x * u). a(x,y,z) * (z * u) = z * (a(x,y,z) * u). (a(x,y,z) \ (L(z,y,x) * u)) \ (z * u) = a(x,y,z) * a(x,y,z). x * a(y,z,u) = (x / L(u,z,y)) * u. (x / L(y,z,u)) * y = x * a(u,z,y). (x * L(y,z,u)) \ (x * y) = a(u,z,y). (x * L(y,z,u)) * a(u,z,y) = x * y. (x * L(y,z,u)) \ (x * y) != w | a(u,z,y) = w. x != L(y,z / u,u) | L(y,u \ z,u) = x. L(x,T(y,z) \ u,T(y,z)) = a(y,u / T(y,z),T(x,z)) \ x. a(x,y / T(x,z),T(u,z)) \ u = L(u,T(x,z) \ y,T(x,z)). a(x / y,z,y \ u) = a(y \ x,z,u / y). x != a(y,T(z,u),w) | a(y,z,T(w,u)) = x. a(x,y,T(z,u)) = a(x,y,T(z,y * u)). a(x,y,T(z,y * u)) = a(x,y,T(z,u)). x / a(y,z,T(u,x)) = a(y,z,u) \ x. a(x,y,T(z,u)) = a(x,y,T(z,x * u)). a(x,y,T(z,x * u)) = a(x,y,T(z,u)). ((x * y) * a(x,z,T(u,x * y))) / T(x * a(x,z,u),y) = L(y,x,a(x,z,u)). a(x,y / z,u) = a(u,x \ 1,z / y). a(x,y \ 1,z / u) = a(y,u / z,x). a(x,y,z \ u) != w | y \ L(y,x,u \ z) = w. x \ L(x,y,z * u) = a(y,x,u \ (z \ 1)). a(x,y,z \ (u \ 1)) = y \ L(y,x,u * z). x \ L(x,y,(z \ u) * w) = a(y,x,w \ (u \ z)). x \ R(x,y \ 1,z) = a(z,x,(z \ y) \ z). a(x,y,(x \ z) \ x) = y \ R(y,z \ 1,x). x * y != z * (a(u,w,z) \ v5) | x \ (L(z,w,u) * v5) = y. a(x,y,z) \ (L(z,u,w) * v5) = L(z,y,x) * (a(w,u,z) \ v5). x * (a(y,z,T(x,u)) \ w) = L(x,z,T(y,u)) * w. x * (a(y,z,T(x,u)) \ w) = L(x,T(z,u),y) * w. x * (x * (y / L(x * x,z,u))) = y * a(u,z,x * x). ((x * y) * L(L(z,y,x),u,w)) \ (x * (y * z)) = a(w,u,L(z,y,x)). L(a(x,y,z),u * L(z,y,x),w) = (w * (u * L(z,y,x))) \ (w * (u * z)). x != (y \ a(y,y,z)) * z | y \ z = x. x \ y = ((x \ a(x,x,y)) * L(y,z,u)) * a(u,z,y). ((x \ a(x,x,y)) * L(y,z,u)) * a(u,z,y) = x \ y. ((x / L(y,z,u)) \ L(y,z,u)) * a(u,z,y) = ((L(y,z,u) \ 1) \ (x \ 1)) * y. (x * y) * a(z,u,y) = a(z,u,y) * (a(z,u,y) * (x * L(y,u,z))). a(x,y,z) * (a(x,y,z) * (u * L(z,y,x))) = (u * z) * a(x,y,z). x / y != a(z * z,u,w) \ x | a(z * z,u,w) = y. a(x * x,y,z) = a(x * x,y,T(z,u)). a(x * x,y,T(z,u)) = a(x * x,y,z). a(x \ y,z,u) != w | a(u,y \ x,z \ 1) = w. x != a(y,z,T(u,z * w)) | a(y,z,T(u,w)) = x. a(x,y,T(z,u)) = a(x,y,T(z,u * y)). a(x,y,T(z,u * y)) = a(x,y,T(z,u)). a(x,K(y,z \ 1) * u,T(w,z * (T(1 / z,y) \ u))) = a(x,K(y,z \ 1) * u,T(w,z * z)). (L(x,y,z) * u) / x != w | a(z,y,x) \ T(u,x) = w. a(x,y,z) \ T(u,z) = T(a(x,y,z) \ u,z). T(a(x,y,z) \ u,z) = a(x,y,z) \ T(u,z). x != y \ L(y,z,u) | a(z,y,u \ 1) = x. a(x,y,(z * u) \ 1) = a(x,y,u \ (z \ 1)). T(L(x,y,z) * u,x) = a(z,y,x) \ T(x * u,x). a(x,y,z) \ T(z * u,z) = T(L(z,y,x) * u,z). a(x,y,y) * (x \ z) != u | L(x,y,y) \ z = u. L(x \ 1,y,y) != z | L(x,y,y) \ 1 = z. (a(x,y,z) / z) \ z = T(z * L(z,y,x),z). T(x * L(x,y,z),x) = (a(z,y,x) / x) \ x. x * y != z * (a(u,w,T(z,v5)) \ y) | L(z,w,T(u,v5)) = x. L(x,y,T(z,u)) = L(x,T(y,u),z). L(x,T(y,z),u) = L(x,y,T(u,z)). L(x,T(y,z) \ 1,u) = L(x,y \ 1,T(u,z)). L(x,y * (z / y),u) = L(x,z,T(u,y)). L(x,T(y,z),u \ (y \ 1)) != w | R(x,(u \ y) \ 1,T(y,z)) = w. R(x,(y \ z) \ 1,T(z,u)) = L(x,z,T(y \ (z \ 1),u)). L(x,y / z,u) = L(x,z \ y,T(u,y)). L(x,y \ z,T(u,z)) = L(x,z / y,u). L(x,y \ z,u) = L(x,z / y,T(u,y)). L(x,y / z,T(u,z)) = L(x,z \ y,u). L(x,y,T(z * z,u)) != w | L(x,y,z * z) = w. L(x,y \ z,u * u) = L(x,z / y,u * u). L(x,y / z,u * u) = L(x,z \ y,u * u). L(x,y,T(z \ 1,u)) != w | L(x,y,T(z,u) \ 1) = w. L(x,y \ z,T(u,z) \ 1) = L(x,z / y,u \ 1). L(x,y \ (z \ 1),T(u,z)) = L(x,z \ (y \ 1),u). L(x,y,T(z * u,u)) != w | L(x,y,u * z) = w. L(x,y / z,z * u) = L(x,z \ y,u * z). L(x,y / z,z \ u) = L(x,z \ y,u / z). L(x,(y * (z * K(u,w))) \ 1,v5) = L(x,((K(u,w) * y) * z) \ 1,T(v5,K(u,w))). L(x,((K(y,z) * u) * w) \ 1,T(v5,K(y,z))) = L(x,(u * (w * K(y,z))) \ 1,v5). L(x,((y * z) \ 1) / y,y * y) != u | R(x,(1 / y) \ y,((1 / y) \ y) \ z) = u. R(x,(1 / y) \ y,((1 / y) \ y) \ z) = L(x,y \ ((y * z) \ 1),y * y). L(x,y / z,u) != w | L(x,y * (z \ 1),u) = w. L(x,y * (z \ 1),z * u) = L(x,z \ y,u * z). L(x,y / z,z \ (y \ z)) != u | R(x,(z \ (z \ y)) \ 1,y / z) = u. R(x,(y \ (y \ z)) \ 1,z / y) = L(x,y \ z,(z \ y) / y). L(x,y,z \ (z / u)) != w | L(x,y,u \ 1) = w. L(x,y / z,u \ 1) = L(x,z \ y,(z / u) / z). L(x,y \ z,(y / u) / y) = L(x,z / y,u \ 1). a(x,y,z) \ ((a(u,w,z) / z) \ z) = T(L(z,y,x) * L(z,w,u),z). L(x,y \ z,z \ (u \ z)) = L(x,z / y,u \ 1). L(x,y * (z \ 1),z * (y \ z)) != u | L(x,(y \ 1) \ z,y \ 1) = u. L(x,(y \ 1) \ z,y \ 1) = L(x,z \ y,(y \ z) * z). L(x,y,(z / u) / z) != w | L(x,y,z \ (u \ z)) = w. L(x,y \ z,y \ (u \ y)) = L(x,z / y,u \ 1). a(x \ (y \ x),x \ z,u) = L(u,z / x,y \ 1) \ u. (x \ L(y,z,u)) * a(u,z,y) = x \ y. x * (y \ L(y,z,u)) != w | x / a(u,z,y) = w. (x * y) / a(z,u,x) = x * (y * (x \ L(x,u,z))). x * (y * (x \ L(x,z,u))) = (x * y) / a(u,z,x). x * (y / a(z,u,x)) = (x * y) / a(z,u,x). (x * y) / a(z,u,x) = x * (y / a(z,u,x)). (x * y) * a(z,x,u) = x * (y / a(u \ 1,z,x)). x * (y / a(z \ 1,u,x)) = (x * y) * a(u,x,z). a(x,y,z) * (((z * u) / a(x,y,z)) * a(x,y,z)) = ((1 / a(x,y,z)) \ z) * u. x * (y * a(z,x,u)) = (x * y) * a(z,x,u). (x * y) * a(z,x,u) = x * (y * a(z,x,u)). L(a(x,y,z),u,y) = a(x,y,z). (x * y) / a(z,x,u) = x * (y / a(z,x,u)). a(x,y,z) \ (y * ((u * a(x,y,z)) / a(x,y,z))) = (y / a(x,y,z)) * L(u,a(x,y,z),a(x,y,z)). x != L(y,z,T(u \ (w \ 1),v5)) | L(y,z,T(w * u,v5) \ 1) = x. L(x,y,T(y * z,u) \ 1) = R(x,(z \ y) \ 1,T(y,u)). R(x,(y \ z) \ 1,T(z,u)) = L(x,z,T(z * y,u) \ 1). x != L(y,z \ u,(u \ z) * z) | R(y,u \ 1,z \ u) = x. R(x,y \ 1,z \ y) = L(x,(y \ 1) \ z,y \ 1). L(x,(y \ 1) \ z,y \ 1) = R(x,y \ 1,z \ y). L(x,y * z,y \ 1) = R(x,y \ 1,z \ y). R(x,y \ 1,z \ y) = L(x,y * z,y \ 1). R(x,(1 / T(y,K(z,u))) \ 1,((1 / w) \ (1 / y)) * K(z,u)) = L(x,(1 / T(y,K(z,u))) * (K(z,u) / w),(1 / T(y,K(z,u))) \ 1). L(x,(1 / T(y,K(z,u))) * (K(z,u) / w),(1 / T(y,K(z,u))) \ 1) = R(x,(1 / T(y,K(z,u))) \ 1,((1 / w) \ (1 / y)) * K(z,u)). x != L(y,z,u) \ y | a(u,z,y) = x. a(x \ 1,y / z,u) = a(z \ (x \ z),z \ y,u). a(x \ (y \ x),x \ z,u) = a(y \ 1,z / x,u). x != a(y \ 1,z / u,w) | a(w,y,u / z) = x. a(x,y,z / u) = a(z \ (y \ z),z \ u,x). a(x \ (y \ x),x \ z,u) = a(u,y,x / z). a(T(x,y) \ 1,x \ z,u) = a(u,T(x,y),x / z). a(x \ 1,y \ z,u) != w | a(u,x,z \ y) = w. a(x,T(y,z),u \ y) = a(x,T(y,z),y / u). a(x,T(y,z),y / u) = a(x,T(y,z),u \ y). a(x,y,T(z \ y,u)) = a(x,T(y,u),y / z). a(x,T(y,z),y / u) = a(x,y,T(u \ y,z)). R(x,(y \ z) \ 1,u) != w | R(x,z \ y,u) = w. R(x,y \ z,T(y,u)) = L(x,y,T(y * z,u) \ 1). L(x,y,T(y * z,u) \ 1) = R(x,y \ z,T(y,u)). a(x \ 1,y,((z / x) \ x) \ 1) = a(x \ 1,y,x \ (x \ z)). R(x,(y \ (y \ z)) \ 1,z / y) = L(x,y \ z,(y * z) \ y). a(x,y,(z \ u) \ 1) != w | a(x,y,u \ z) = w. a(x \ 1,y,x \ (z / x)) = a(x \ 1,y,x \ (x \ z)). x != L(y,z,(u * w) \ u) | L(y,z,w \ 1) = x. L(x,y \ z,z \ 1) = R(x,(y \ (y \ z)) \ 1,z / y). R(x,(y \ (y \ z)) \ 1,z / y) = L(x,y \ z,z \ 1). R(x,(y * y) * (z \ 1),z / y) = L(x,y \ z,z \ 1). R(x,(y * y) / z,z / y) = L(x,y \ z,z \ 1). x * (a(y,z,x) * T(u,L(x,z,y))) = u * (a(y,z,x) * x). x * (x * (y * (L(x,z,u) \ 1))) = y * (a(u,z,x) * x). x * (x * (y * (L(x,z,u) \ 1))) = y * (x * a(u,z,x)). L(x,y,z) / (x \ a(z,y,x)) = (a(z,y,x) / x) \ L(x,y,z). L(x,y,z) / (x \ a(z,y,x)) = (1 / L(x,y,z)) \ L(x,y,z). (1 / L(x,y,z)) \ L(x,y,z) = L(x,y,z) / (x \ a(z,y,x)). x != L(y,z,u) / (y \ a(u,z,y)) | (a(u,z,y) / y) \ L(y,z,u) = x. (a(x,y,z) / z) \ L(z,y,x) = (1 / L(z,y,x)) \ L(z,y,x). (L(x,y,z) * (a(z,y,x) \ u)) \ (x * u) = a(z,y,x) * a(z,y,x). (x * (y * L(z,u,w))) \ (x * (y * z)) = a(w,u,L(z,y,x)). a(x,y,z) * (z * T(u,L(z,y,x))) = (u * z) * a(x,y,z). a(x,y,z) * (z * u) != w | z * (a(x,y,z) * u) = w. x * (a(y,z,x) * T(u,L(x,z,y))) = (u * x) * a(y,z,x). x * (x * (y * (L(x,z,u) \ 1))) = (y * x) * a(u,z,x). x * (x * (y * (L(x,z,u) \ 1))) != w | y * (x * a(u,z,x)) = w. x * (y * a(z,u,y)) = (x * y) * a(z,u,y). (x * y) * a(z,u,y) = x * (y * a(z,u,y)). L(a(x,y,z),z,u) = a(x,y,z). L(x,y,z) * ((x \ a(z,y,x)) \ 1) = (a(z,y,x) / x) \ L(x,y,z). x != (y * (z * L(u,w,v5))) \ (y * (z * u)) | a(v5,w,L(u,z,y)) = x. a(x,y,L(z,u,w)) = L(a(x,y,z),u * L(z,y,x),w). L(a(x,y,z),u * L(z,y,x),w) = a(x,y,L(z,u,w)). L(a(x,y,z),u,y) != w | a(x,y,z) = w. a(x,y,z) = a(x,y,L(z,u,y)). a(x,y,L(z,u,y)) = a(x,y,z). L(a(x,y,z),L(z,y,x) * ((u * L(z,y,x)) \ 1),w) = a(x,y,L(z,u \ (1 / L(z,y,x)),w)). x != L(y,z \ ((u * w) \ 1),v5) | L(y,z \ (w \ (u \ 1)),v5) = x. L(x,y \ (z \ (y \ 1)),y * y) = R(x,(1 / y) \ y,((1 / y) \ y) \ z). R(x,(1 / y) \ y,((1 / y) \ y) \ z) = L(x,y \ (z \ (y \ 1)),y * y). R(x,(1 / y) \ y,(y \ 1) * (y \ z)) = L(x,y \ (z \ (y \ 1)),y * y). R(x,y,(z \ 1) * u) != w | R(x,y,z \ u) = w. R(x,(1 / y) \ y,y \ (y \ z)) = L(x,y \ (z \ (y \ 1)),y * y). ((x * y) * a(x,z,T(u,y))) / T(x * a(x,z,u),y) = L(y,x,a(x,z,u)). (x \ L(y,z,u)) * a(u,z,y) != w | x \ y = w. (x / L(y,z,u)) \ y = ((L(y,z,u) \ 1) \ (x \ 1)) * y. ((L(x,y,z) \ 1) \ (u \ 1)) * x = (u / L(x,y,z)) \ x. x != L(y,(z * u) \ 1,w) | L(y,u \ (z \ 1),w) = x. L(x,(y * K(z,u)) \ (w \ 1),v5) = L(x,((K(z,u) * w) * y) \ 1,T(v5,K(z,u))). L(x,((K(y,z) * u) * w) \ 1,T(v5,K(y,z))) = L(x,(w * K(y,z)) \ (u \ 1),v5). a(x,y,z) * (z * u) = ((1 / a(x,y,z)) \ z) * u. ((1 / a(x,y,z)) \ z) * u = a(x,y,z) * (z * u). x != a(y,z,u) * (u * w) | u * (a(y,z,u) * w) = x. x * (a(y,z,x) * u) = ((1 / a(y,z,x)) \ x) * u. ((1 / a(x,y,z)) \ z) * u = z * (a(x,y,z) * u). (a(x \ 1,y,z) \ x) * u = x * (a(y,z,x) * u). (a(x,y,z) * z) * u = z * (a(x,y,z) * u). (x * a(y,z,x)) * u = x * (a(y,z,x) * u). L(x,a(y,z,u),u) = x. (x * a(y \ 1,z,x)) * u = x * (a(x,y,z \ 1) * u). (x / a(y,x,z)) * u = x * (a(x,z,y \ 1) * u). x * (a(x,y,z \ 1) * u) = (x / a(z,x,y)) * u. x * (a(x,y,z \ 1) * u) = (a(z,x,y) \ x) * u. x * (a(x,y,z) * u) = (a(z \ 1,x,y) \ x) * u. (a(x \ 1,y,z) \ y) * u = y * (a(y,z,x) * u). x * (a(y,x,z) \ u) = (a(y,x,z) \ x) * u. (a(x,y,z) \ y) * u = y * (a(x,y,z) \ u). (a(x,y,z) * x) * u = x * (a(x,y,z) * u). (x * a(x,y,z)) * u = x * (a(x,y,z) * u). x != L(y,(z * K(u,w)) \ v5,v6) | L(y,K(u,w) * (z \ v5),v6) = x. L(x,K(y,z) * (u \ (w \ 1)),v5) = L(x,((K(y,z) * w) * u) \ 1,T(v5,K(y,z))). L(x,((K(y,z) * u) * w) \ 1,T(v5,K(y,z))) = L(x,K(y,z) * (w \ (u \ 1)),v5). x != L(y,z * (u \ (w \ 1)),v5) | L(y,z / (w * u),v5) = x. L(x,K(y,z) / (u * w),v5) = L(x,((K(y,z) * u) * w) \ 1,T(v5,K(y,z))). L(x,((K(y,z) * u) * w) \ 1,T(v5,K(y,z))) = L(x,K(y,z) / (u * w),v5). x != L(y,K(z,u) / w,v5) | L(y,w \ K(z,u),v5) = x. L(x,(y * z) \ K(u,w),v5) = L(x,((K(u,w) * y) * z) \ 1,T(v5,K(u,w))). L(x,((K(y,z) * u) * w) \ 1,T(v5,K(y,z))) = L(x,(u * w) \ K(y,z),v5). L(x,((K(y,z) * u) * w) \ 1,v5) = L(x,(u * w) \ K(y,z),v5). L(x,y \ ((K(z,u) * w) \ 1),v5) = L(x,(w * y) \ K(z,u),v5). L(x,y \ (z \ K(u,w)),v5) = L(x,(z * y) \ K(u,w),v5). L(x,(y * z) \ K(u,w),v5) = L(x,z \ (y \ K(u,w)),v5). L(x,y,z \ (T(u,w \ 1) \ v5)) != v6 | L(x,y,z \ (T(u,w) \ v5)) = v6. L(x,y,z \ (T(z,T(u,w)) \ (u \ 1))) = L(x,y,((w \ (z \ w)) * (1 / u)) / T(z,w)). x != T(y,z * (u \ ((1 / w) / v5))) | T(y,z / ((v5 * w) * u)) = x. T(x,(y * (1 / z)) / ((u * z) * u)) = T(x,(1 / z) * (T(y,z \ 1) * (u \ ((1 / z) / u)))). T(x,(1 / y) * (T(z,y \ 1) * (u \ ((1 / y) / u)))) = T(x,(z * (1 / y)) / ((u * y) * u)). x != T(y,z / ((u * w) * u)) | T(y,z / (u * (w * u))) = x. T(x,(y * (1 / z)) / (u * (z * u))) = T(x,(1 / z) * (T(y,z \ 1) * (u \ ((1 / z) / u)))). T(x,(1 / y) * (T(z,y \ 1) * (u \ ((1 / y) / u)))) = T(x,(z * (1 / y)) / (u * (y * u))). x != T(y,(z * (1 / u)) / w) | T(y,(z / u) / w) = x. T(x,(y / z) / (u * (z * u))) = T(x,(1 / z) * (T(y,z \ 1) * (u \ ((1 / z) / u)))). T(x,(1 / y) * (T(z,y \ 1) * (u \ ((1 / y) / u)))) = T(x,(z / y) / (u * (y * u))). T(x,y * (z * (u \ ((1 / w) / v5)))) != v6 | T(x,y * (z / ((v5 * w) * u))) = v6. T(x,(1 / y) * (T(z,y \ 1) / ((u * y) * u))) = T(x,(z / y) / (u * (y * u))). T(x,y * (z / ((u * w) * u))) != v5 | T(x,y * (z / (u * (w * u)))) = v5. T(x,(1 / y) * (T(z,y \ 1) / (u * (y * u)))) = T(x,(z / y) / (u * (y * u))). T(x,y * (T(z,u \ 1) / w)) != v5 | T(x,y * (T(z,u) / w)) = v5. T(x,(1 / y) * (T(z,y) / (u * (y * u)))) = T(x,(z / y) / (u * (y * u))). T(x,y \ (T(z,y) / (u * (y * u)))) = T(x,(z / y) / (u * (y * u))). T(x,y \ (T(z,y) / u)) != w | T(x,z / (u * y)) = w. T(x,y / ((z * (u * z)) * u)) = T(x,(y / u) / (z * (u * z))). T(x,(y / z) / (u * (z * u))) = T(x,y / ((u * (z * u)) * z)). T(x,(y / z) / (u * (z * u))) = T(x,y / (z * ((u * z) * u))). x != T(y,z / (u * ((w * v5) * w))) | T(y,z / (u * (w * (v5 * w)))) = x. T(x,y / (z * (u * (z * u)))) = T(x,(y / z) / (u * (z * u))). T(x,(y / z) / (u * (z * u))) = T(x,y / (z * (u * (z * u)))). T(x,y * (z \ ((u \ 1) / w))) != v5 | T(x,y / ((w * u) * z)) = v5. T(x,((y * (1 / z)) \ 1) / ((u * y) * u)) = T(x,(y \ 1) * (T(z,y) * (u \ ((y \ 1) / u)))). T(x,(y \ 1) * (T(z,y) * (u \ ((y \ 1) / u)))) = T(x,((y * (1 / z)) \ 1) / ((u * y) * u)). T(x,((y * (1 / z)) \ 1) / (u * (y * u))) = T(x,(y \ 1) * (T(z,y) * (u \ ((y \ 1) / u)))). T(x,(y \ 1) * (T(z,y) * (u \ ((y \ 1) / u)))) = T(x,((y * (1 / z)) \ 1) / (u * (y * u))). x != T(y,(z \ 1) / u) | T(y,z \ (u \ 1)) = x. T(x,(y * (1 / z)) \ ((u * (y * u)) \ 1)) = T(x,(y \ 1) * (T(z,y) * (u \ ((y \ 1) / u)))). T(x,(y \ 1) * (T(z,y) * (u \ ((y \ 1) / u)))) = T(x,(y * (1 / z)) \ ((u * (y * u)) \ 1)). x != T(y,z \ ((u * w) \ 1)) | T(y,z \ (w \ (u \ 1))) = x. T(x,(y * (1 / z)) \ ((y * u) \ (u \ 1))) = T(x,(y \ 1) * (T(z,y) * (u \ ((y \ 1) / u)))). T(x,(y \ 1) * (T(z,y) * (u \ ((y \ 1) / u)))) = T(x,(y * (1 / z)) \ ((y * u) \ (u \ 1))). x != T(y,z \ ((u * w) \ (w \ 1))) | T(y,z \ (w \ (u \ (w \ 1)))) = x. T(x,(y * (1 / z)) \ (u \ (y \ (u \ 1)))) = T(x,(y \ 1) * (T(z,y) * (u \ ((y \ 1) / u)))). T(x,(y \ 1) * (T(z,y) * (u \ ((y \ 1) / u)))) = T(x,(y * (1 / z)) \ (u \ (y \ (u \ 1)))). x != T(y,(z * (1 / u)) \ w) | T(y,(u / z) * w) = x. T(x,(y / z) * (u \ (z \ (u \ 1)))) = T(x,(z \ 1) * (T(y,z) * (u \ ((z \ 1) / u)))). T(x,(y \ 1) * (T(z,y) * (u \ ((y \ 1) / u)))) = T(x,(z / y) * (u \ (y \ (u \ 1)))). x != T(y,z * (u \ (w \ (v5 \ 1)))) | T(y,z / ((v5 * w) * u)) = x. T(x,(y / z) / ((u * z) * u)) = T(x,(z \ 1) * (T(y,z) * (u \ ((z \ 1) / u)))). T(x,(y \ 1) * (T(z,y) * (u \ ((y \ 1) / u)))) = T(x,(z / y) / ((u * y) * u)). T(x,(y / z) / (u * (z * u))) = T(x,(z \ 1) * (T(y,z) * (u \ ((z \ 1) / u)))). T(x,(y \ 1) * (T(z,y) * (u \ ((y \ 1) / u)))) = T(x,(z / y) / (u * (y * u))). a(x,K(y,z \ 1) * u,T(w,z * (T(z / 1,y) * u))) = a(x,K(y,z \ 1) * u,T(w,z * z)). a(x,K(y,z \ 1) * u,T(w,z * (T(z,y) * u))) = a(x,K(y,z \ 1) * u,T(w,z * z)). a(x,y,z) \ (y * u) = (y / a(x,y,z)) * L(u,a(x,y,z),a(x,y,z)). (x / a(y,x,z)) * L(u,a(y,x,z),a(y,x,z)) = a(y,x,z) \ (x * u). (a(x,y,z) \ y) * L(u,a(x,y,z),a(x,y,z)) = a(x,y,z) \ (y * u). (a(x,y,z) \ y) * u = a(x,y,z) \ (y * u). a(x,y,z) \ (y * u) = (a(x,y,z) \ y) * u. x != (a(y,z,u) \ z) * w | z * (a(y,z,u) \ w) = x. x * (a(y,x,z) \ u) = a(y,x,z) \ (x * u). a(x,y,z) \ (y * u) = y * (a(x,y,z) \ u). K(x,T(((y \ 1) / z) \ u,z \ 1)) = K(x,((y \ 1) * (u / (y \ 1))) / ((y \ (y / z)) * (y \ 1))). K(x,T(((y \ 1) / z) \ u,z)) = K(x,((y \ 1) * (u / (y \ 1))) / ((y \ (y / z)) * (y \ 1))). K(x,T((y / (z \ 1)) * u,y)) = K(x,((z \ 1) * (u / (z \ 1))) / ((z \ (z / y)) * (z \ 1))). K(x,T((y * (1 \ z)) * u,y)) = K(x,((z \ 1) * (u / (z \ 1))) / ((z \ (z / y)) * (z \ 1))). K(x,T((y * z) * u,y)) = K(x,((z \ 1) * (u / (z \ 1))) / ((z \ (z / y)) * (z \ 1))). K(x,T((y * z) * u,y)) = K(x,(z * (u * (1 / z))) / ((z \ (z / y)) * (z \ 1))). K(x,T((y * z) * u,y)) = K(x,(z * (u * (1 / z))) / (z \ ((z / y) / z))). K(x,(y * (z * (1 / y))) * (((y / u) / y) \ y)) = K(x,T((u * y) * z,u)). K(x,T((y * z) * u,y)) = K(x,(z * (u * (1 / z))) * (((z / y) / z) \ z)). K(x,T((y * z) * u,y)) = K(x,(z * (u * (1 / z))) * (z / (y \ 1))). x != K(y,z * (u / (w \ 1))) | K(y,z * (u * w)) = x. K(x,(y * (z * (1 / y))) * (y * u)) = K(x,T((u * y) * z,u)). K(x,T((y * z) * u,y)) = K(x,(z * (u * (1 / z))) * (z * y)). x != K(y,(z * (u * (1 / z))) * w) | K(y,T(u,z) * w) = x. K(x,T(y,z) * (z * u)) = K(x,T((u * z) * y,u)). K(x,T((y * z) * u,y)) = K(x,T(u,z) * (z * y)). x != K(y,T(z,u) * (u * w)) | K(y,u * (z * w)) = x. K(x,y * (z * u)) = K(x,T((u * y) * z,u)). K(x,T((y * z) * u,y)) = K(x,z * (u * y)). K(x,T((y * z) * u,y)) != w | K(x,y * (y * (z * (u / y)))) = w. K(x,y * (y * (z * (u / y)))) = K(x,z * (u * y)). L(x,y,K(z,u * (w * v5))) = L(x,y,K(z,(v5 * u) * w)). L(x,y,K(z,(u * w) * v5)) = L(x,y,K(z,w * (v5 * u))). L(x,y,K(z,(u * w) * (v5 \ 1))) = L(x,y,K(z,w * (v5 \ u))). L(x,y,K(z,(u * w) / v5)) = L(x,y,K(z,w * (v5 \ u))). L(x,y,K(z,u / w)) != v5 | L(x,y,K(z,w \ u)) = v5. L(x,y,K(z,u \ (w * v5))) = L(x,y,K(z,v5 * (u \ w))). L(x,y,T(z,u \ (w * v5))) = L(L(x,y,z),y,K(z,v5 * (u \ w))). L(L(x,y,z),y,K(z,u * (w \ v5))) = L(x,y,T(z,w \ (v5 * u))). L(x,y,T(z,u \ (w * v5))) != v6 | L(x,y,T(z,v5 * (u \ w))) = v6. T(x * (a(y,z,K(u,w)) * v5),a(y,z,K(u,w))) = ((1 / a(y,z,K(u,w))) \ x) * v5. x * (a(y,z,K(u,w)) * v5) = ((1 / a(y,z,K(u,w))) \ x) * v5. ((1 / a(x,y,K(z,u))) \ w) * v5 = w * (a(x,y,K(z,u)) * v5). ((a(x,y,K(z,u)) * 1) \ w) * v5 = w * (a(x,y,K(z,u)) * v5). (a(x,y,K(z,u)) \ w) * v5 = w * (a(x,y,K(z,u)) * v5). (a(x,y,K(z,u)) * w) * v5 = w * (a(x,y,K(z,u)) * v5). (x * a(y,z,K(u,w))) * v5 = x * (a(y,z,K(u,w)) * v5). x * (1 / y) != (y \ z) * (u * (1 / y)) | y \ (z * u) = x. x \ (y * a(z,u,K(w,v5))) = (x \ y) * a(z,u,K(w,v5)). x \ (y * a(z,u,K(w,v5))) != v6 | (a(z,u,K(w,v5)) * x) \ y = v6. (a(x,y,K(z,u)) * w) \ v5 = (w \ v5) * a(x,y,K(z,u)). x \ (a(y,z,K(u,w)) * v5) = (x \ v5) * a(y,z,K(u,w)). K(x,(a(y,z,K(u,w)) * v5) \ v6) = K(x,v5 \ v6). K(x,(y * a(z,u,K(w,v5))) \ v6) = K(x,y \ v6). K(x,((y * (z * K(u,w))) * K(w,u)) \ v5) = K(x,(y * z) \ v5). x * ((x \ y) * a(z,u,K(w,v5))) = a(z,u,K(w,v5)) * y. x * (y * a(z,u,K(w,v5))) = a(z,u,K(w,v5)) * (x * y). a(x,y,K(z,u)) * (w * v5) = w * (v5 * a(x,y,K(z,u))). a(x,y,K(z,u)) * (w * x) = w * L(x,u,K(y,z)). T(x,y * L(z,u,K(w,v5))) = T(x,y * z). x != T(y,T(z,u) * u) | T(y,u * z) = x. T(x,y * z) = T(x,T(z,y) * L(y,u,K(w,v5))). T(x,T(y,z) * L(z,u,K(w,v5))) = T(x,z * y). T(x,(y * z) * L(R(u,y,z),w,K(v5,v6))) != v7 | T(x,y * (L(u,w,K(v5,v6)) * T(z,u))) = v7. T(x,y * (L(z,u,K(w,v5)) * T(v6,z))) = T(x,(y * v6) * R(z,y,v6)). T(x,(y * z) * R(u,y,z)) = T(x,y * (L(u,w,K(v5,v6)) * T(z,u))). T(x,y * T(z,L(u,w,v5))) = T(x,y * T(z,u)). 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). T(x,y * T((z * u) * w,L(z,u,w))) != v5 | T(x,y * ((T(z,u * w) * u) * w)) = v5. T(x,y * ((T(z,u * w) * u) * w)) = T(x,y * T((z * u) * w,z)). T(x,y * T((z * u) * w,z)) = T(x,y * ((T(z,u * w) * u) * w)). K(x,K(y,z) * ((u * (w * K(y,z))) \ v5)) = K(x,(u * w) \ v5). K(x,K(y,L(z,u,w)) * ((v5 * (w * (u * K(y,z)))) \ v6)) = K(x,(v5 * (w * u)) \ v6). T(x,(y * z) * R(u,y,z)) != w | T(x,y * (z * u)) = w. T(x,y * (z * u)) = T(x,y * (L(u,w,K(v5,v6)) * T(z,u))). T(x,y * (L(z,u,K(w,v5)) * T(v6,z))) = T(x,y * (v6 * z)). T(x,y * (z * L(u,w,K(v5,v6)))) = T(x,y * (z * u)). T(x,y * T((z * u) * w,z)) = T(x,y * ((u * w) * R(z,u,w))). K(x,K(y,z) * ((u * (w * (v5 * K(y,z)))) \ v6)) = K(x,(u * (w * v5)) \ v6). K(x,K(y,T(z,u)) * ((w * (v5 * (K(y,z) * u))) \ v6)) = K(x,(w * (v5 * u)) \ v6). K(x,K(y,z) * ((u * (w * (K(y,z) * v5))) \ v6)) = K(x,(u * (w * v5)) \ v6). K(x,K(y,z) * ((u * (w * (K(y,z) * v5))) \ ((u * w) * v5))) != v6 | a(x,w,K(K(y,z) * v5,u)) = v6. a(x,y,K(K(z,u) * w,v5)) = K(x,(v5 * (y * w)) \ ((v5 * y) * w)). K(x,(y * (z * u)) \ ((y * z) * u)) = a(x,z,K(K(w,v5) * u,y)). K(x,a(y,z,u)) = a(x,z,K(K(w,v5) * u,y)). a(x,y,K(K(z,u) * w,v5)) = K(x,a(v5,y,w)). a(x,y,K(z,u)) = a(x,y,K(K(w,v5) * z,u)). a(x,y,K(K(z,u) * w,v5)) = a(x,y,K(w,v5)). a(x,y,K(z,K(u,w) * v5)) = a(z,y,K(v5,x)). x != a(y,z,K(u,w)) | a(y,w,K(z,u)) = x. a(x,y,K(z,u)) = a(y,z,K(x,K(w,v5) * u)). a(x,y,K(z,K(u,w) * v5)) = a(z,x,K(y,v5)). a(x,y,K(z,u * K(w,v5))) = a(z,x,K(y,u)). a(x,y,K(z,u * (w * T(v5,v6)))) = a(z,x,K(y,u * (w * v5))). x != T(y,(K(z,u) * w) \ v5) | T(y,K(z,u) * (w \ v5)) = x. T(x,K(y,T(z,u)) * (w \ (u \ (K(y,z) * v5)))) = T(x,K(y,T(z,u)) * ((w * K(y,T(z,u))) \ (u \ v5))). T(x,K(y,T(z,u)) * ((w * K(y,T(z,u))) \ (u \ v5))) = T(x,K(y,T(z,u)) * (w \ (u \ (K(y,z) * v5)))). T(x,y * ((z * (u * (1 / w))) * v5)) != v6 | T(x,y * ((z * (u / w)) * v5)) = v6. T(x,(y \ 1) * ((((1 / y) / z) * ((y / z) / y)) * u)) = T(x,((1 / y) / z) * (((1 / y) / z) * u)). T(x,(y \ 1) * ((z \ (1 / (z * y))) * u)) = T(x,((1 / y) / z) * (((1 / y) / z) * u)). T(x,((1 / y) / z) * (((1 / y) / z) * u)) = T(x,(y \ 1) * ((z \ (1 / (z * y))) * u)). x != T(y,z * ((u \ (1 / w)) * v5)) | T(y,z * ((w * u) \ v5)) = x. T(x,(y \ 1) * (((z * y) * z) \ u)) = T(x,((1 / y) / z) * (((1 / y) / z) * u)). T(x,((1 / y) / z) * (((1 / y) / z) * u)) = T(x,(y \ 1) * (((z * y) * z) \ u)). x != T(y,z * (((u * w) * u) \ v5)) | T(y,z * ((u * (w * u)) \ v5)) = x. T(x,(y \ 1) * ((z * (y * z)) \ u)) = T(x,((1 / y) / z) * (((1 / y) / z) * u)). T(x,((1 / y) / z) * (((1 / y) / z) * u)) = T(x,(y \ 1) * ((z * (y * z)) \ u)). T(x,y \ ((z * (y * z)) \ u)) = T(x,((1 / y) / z) * (((1 / y) / z) * u)). T(x,((1 / y) / z) * (((1 / y) / z) * u)) = T(x,y \ ((z * (y * z)) \ u)). T(x,y * (((1 / z) / u) * ((1 / z) / u))) = T(x,z \ ((u * (z * u)) \ y)). T(x,y * ((z \ (1 / u)) * (z \ (1 / u)))) = T(x,u \ ((z * (u * z)) \ y)). T(x,y * (z \ (u \ (1 / (u * z))))) = T(x,z \ ((u * (z * u)) \ y)). T(x,y / (((z * u) * z) * u)) = T(x,u \ ((z * (u * z)) \ y)). T(x,y / (z * (u * (z * u)))) = T(x,z \ ((u * (z * u)) \ y)). T(x,y / (z * (u * (z * u)))) != w | T(x,(y / z) / (u * (z * u))) = w. T(x,(y / z) / (u * (z * u))) = T(x,z \ ((u * (z * u)) \ y)). T(x,y \ ((z * (y * z)) \ u)) != w | T(x,(y * z) \ ((y * z) \ u)) = w. T(x,(y / z) / (u * (z * u))) != w | T(x,(z \ 1) * (T(y,z) * (u \ ((z \ 1) / u)))) = w. T(x,(y \ 1) * (T(z,y) * (u \ ((y \ 1) / u)))) = T(x,y \ ((u * (y * u)) \ z)). T(x,y * (z * (u \ ((w \ 1) / v5)))) != v6 | T(x,y * (z / ((v5 * w) * u))) = v6. T(x,(y \ 1) * (T(z,y) / ((u * y) * u))) = T(x,y \ ((u * (y * u)) \ z)). T(x,(y \ 1) * (T(z,y) / (u * (y * u)))) = T(x,y \ ((u * (y * u)) \ z)). T(x,y * (T(z,u) / (w * (u * w)))) != v5 | T(x,y * (w \ (u \ (w \ z)))) = v5. T(x,(y \ 1) * (z \ (y \ (z \ u)))) = T(x,y \ ((z * (y * z)) \ u)). T(x,y \ (z \ (y \ (z \ u)))) = T(x,y \ ((z * (y * z)) \ u)). T(x,y \ ((z * (y * z)) \ u)) = T(x,y \ (z \ (y \ (z \ u)))). T(x,(y * z) \ ((y * z) \ u)) = T(x,y \ (z \ (y \ (z \ u)))). T(x,y \ ((z * (y * z)) \ u)) != w | T(x,u / (y * (z * (y * z)))) = w. T(x,y / (z * (u * (z * u)))) = T(x,z \ (u \ (z \ (u \ y)))). (x \ T(1 / x,y)) / (1 / z) = (z \ (T(1 / x,y) \ x)) \ 1. (x \ T(1 / x,y)) / (1 / y) != z | y * (((x * y) \ 1) * ((x / y) \ 1)) = z. x * (((y * x) \ 1) * ((y / x) \ 1)) = (x \ (T(1 / y,x) \ y)) \ 1. x != (y \ (T(1 / z,y) \ z)) \ 1 | z \ (1 / (z / y)) = x. x \ (1 / (x / y)) = y * (((x * y) \ 1) * ((x / y) \ 1)). x * (((y * x) \ 1) * ((y / x) \ 1)) = y \ (1 / (y / x)). x * (x * (y \ (1 / (y * x)))) = y \ (1 / (y / x)). x \ (y \ (1 / (y / (1 / x)))) = (x \ 1) * (x \ ((1 / x) * (y \ (1 / (y * (1 / x)))))). (x \ 1) * (x \ ((1 / x) * (y \ (1 / (y * (1 / x)))))) = x \ (y \ (1 / (y / (1 / x)))). (x * (y \ (1 / (y / x)))) * x = x * ((x * x) * ((y \ (1 / (y * x))) * x)). x * ((x * x) * ((y \ (1 / (y * x))) * x)) = (x * (y \ (1 / (y / x)))) * x. x * ((x * x) * (y \ T(1 / y,x))) = (x * (y \ (1 / (y / x)))) * x. x * (x * (x * (y \ T(1 / y,x)))) = (x * (y \ (1 / (y / x)))) * x. x * (x * (y \ (x / y))) = (x * (y \ (1 / (y / x)))) * x. (x * (y \ (1 / (y / x)))) * x = x * (x * (y \ (x / y))). x * y != x * (x * (z \ (x / z))) | T(x * (z \ (1 / (z / x))),x) = y. T(x * (y \ (1 / (y / x))),x) = x * (y \ (x / y)). x != y * (z \ (y / z)) | ((z \ y) / z) * y = x. ((x \ y) / x) * y = T(y * (x \ (1 / (x / y))),y). T(x * (y \ (1 / (y / x))),x) = ((y \ x) / y) * x. x != y * z | ((z * z) * y) / z = x. ((x * x) * ((y \ x) / y)) / x = T(x * (y \ (1 / (y / x))),x). T(x * (y \ (1 / (y / x))),x) = ((x * x) * ((y \ x) / y)) / x. x * (x * (y \ (1 / (y / x)))) = (x * x) * ((y \ x) / y). ((1 / x) * ((1 / x) * (y \ (1 / (y / (1 / x)))))) * x = x \ ((1 / x) * (((y \ (1 / x)) / y) * x)). (x \ 1) * (x \ ((1 / x) * (y \ (1 / (y * (1 / x)))))) = x \ (y \ ((x \ 1) * (1 / y))). (x \ 1) * (x \ ((1 / x) * (y \ (1 / (y * (1 / x)))))) = x \ ((y \ (x \ 1)) / y). (x \ 1) * (x \ ((1 / x) * (y \ (1 / (y * (1 / x)))))) = x \ ((x * y) \ (1 / y)). (x \ 1) * (x \ ((1 / x) * (y \ ((x \ 1) \ (1 / y))))) = x \ ((x * y) \ (1 / y)). (x \ 1) * (x \ ((1 / x) * ((x \ y) \ (1 / y)))) = x \ ((x * y) \ (1 / y)). (x \ 1) * (x \ (x * ((y \ (1 / x)) / y))) = x \ ((x * y) \ (1 / y)). (x \ 1) * ((y \ (1 / x)) / y) = x \ ((x * y) \ (1 / y)). ((1 / x) * ((1 / x) * (y \ ((x \ 1) * (1 / y))))) * x = x \ ((1 / x) * (((y \ (1 / x)) / y) * x)). ((1 / x) * ((1 / x) * ((y \ (x \ 1)) / y))) * x = x \ ((1 / x) * (((y \ (1 / x)) / y) * x)). ((1 / x) * ((1 / x) * ((x * y) \ (1 / y)))) * x = x \ ((1 / x) * (((y \ (1 / x)) / y) * x)). x != T(y,K(z,T(u,w)) * v5) | T(y,K(z,u) * v5) = x. T(x,K(y,z) * (u \ (w \ (K(y,z) * v5)))) = T(x,K(y,T(z,w)) * ((u * K(y,T(z,w))) \ (w \ v5))). T(x,K(y,T(z,u)) * ((w * K(y,T(z,u))) \ (u \ v5))) = T(x,K(y,z) * (w \ (u \ (K(y,z) * v5)))). T(x,K(y,T(z,u)) * ((K(y,T(z,u)) / w) * (u \ v5))) = T(x,K(y,z) * (w \ (u \ (K(y,z) * v5)))). T(x,K(y,z) * ((K(y,z) / u) * w)) != v5 | T(x,u \ w) = v5. T(x,y \ (z \ u)) = T(x,K(w,v5) * (y \ (z \ (K(w,v5) * u)))). T(x,K(y,z) * (u \ (w \ (K(y,z) * v5)))) = T(x,u \ (w \ v5)). T(x,K(y,z) * (u \ (w \ v5))) = T(x,u \ (w \ (K(y,z) * v5))). T(x,y \ (z \ (K(u,w) * v5))) = T(x,K(u,w) * (y \ (z \ v5))). T(x,K(y,K(z,u)) * (w \ (v5 \ T(z,K(y,u))))) = T(x,w \ (v5 \ z)). T(x,K(y,z) * (u \ (w \ (1 / v5)))) = T(x,u \ (w \ (K(y,z) / v5))). T(x,y \ (z \ T(u,K(w,v5)))) = T(x,y \ (z \ u)). T(x,y \ (z \ (1 / (K(u,w) / v5)))) = T(x,y \ (z \ ((v5 \ K(u,w)) \ 1))). x != T(y,z \ (u \ ((w \ v5) \ v6))) | T(y,z \ (u \ ((v5 \ w) * v6))) = x. T(x,y \ (z \ ((K(u,w) \ v5) * 1))) = T(x,y \ (z \ (1 / (K(u,w) / v5)))). T(x,y \ (z \ (1 / (K(u,w) / v5)))) = T(x,y \ (z \ ((K(u,w) \ v5) * 1))). T(x,y \ (z \ (1 / (K(u,w) / v5)))) = T(x,y \ (z \ ((K(u,w) * v5) * 1))). T(x,y \ (z \ (1 / (K(u,w) / v5)))) = T(x,y \ (z \ (K(u,w) * v5))). x != T(y,z \ (u \ (K(w,v5) * v6))) | T(y,K(w,v5) * (z \ (u \ v6))) = x. T(x,K(y,z) * (u \ (w \ v5))) = T(x,u \ (w \ (1 / (K(y,z) / v5)))). T(x,y \ (z \ (1 / (K(u,w) / v5)))) = T(x,K(u,w) * (y \ (z \ v5))). T(x,y \ (z \ ((u \ 1) \ K(w,v5)))) = T(x,K(w,v5) * (y \ (z \ u))). T(x,y \ (z \ (u \ K(w,v5)))) = T(x,K(w,v5) * (y \ (z \ (1 / u)))). T(x,K(y,z) * (u \ (w \ (1 / v5)))) = T(x,u \ (w \ (v5 \ K(y,z)))). T(x,K(y,z) * (u \ (w \ (1 / v5)))) != v6 | T(x,u \ (w \ (K(y,z) / v5))) = v6. T(x,y \ (z \ (K(u,w) / v5))) = T(x,y \ (z \ (v5 \ K(u,w)))). T(x,(1 / y) \ z) != u | T(x,y * z) = u. T(x,y * (z \ (K(u,w) / v5))) = T(x,(1 / y) \ (z \ (v5 \ K(u,w)))). T(x,(1 / y) \ (z \ (u \ K(w,v5)))) = T(x,y * (z \ (K(w,v5) / u))). T(x,y * (z \ (u \ K(w,v5)))) = T(x,y * (z \ (K(w,v5) / u))). T(x,y * (z \ (K(u,w) / v5))) = T(x,y * (z \ (v5 \ K(u,w)))). T(x,y * ((z * u) \ K(w,v5))) = T(x,y * (u \ (z \ K(w,v5)))). T(x,y * (((z \ 1) * u) \ K(w,v5))) != v6 | T(x,y * (K(w,v5) * ((u \ 1) / (1 / z)))) = v6. T(x,y * (K(z,u) * ((w \ 1) / (1 / v5)))) = T(x,y * (w \ ((v5 \ 1) \ K(z,u)))). x != T(y,z * (u \ ((w \ v5) \ v6))) | T(y,z * (u \ ((v5 \ w) * v6))) = x. T(x,y * (z \ ((1 \ u) * K(w,v5)))) = T(x,y * (K(w,v5) * ((z \ 1) / (1 / u)))). T(x,y * (K(z,u) * ((w \ 1) / (1 / v5)))) = T(x,y * (w \ ((1 \ v5) * K(z,u)))). T(x,y * (K(z,u) * ((w \ 1) / (1 / v5)))) = T(x,y * (w \ (v5 * K(z,u)))). x != T(y,z * (u \ (w * K(v5,v6)))) | T(y,z * ((u \ K(v5,v6)) * w)) = x. T(x,y * ((z \ K(u,w)) * v5)) = T(x,y * (K(u,w) * ((z \ 1) / (1 / v5)))). T(x,y * (K(z,u) * ((w \ 1) / (1 / v5)))) = T(x,y * ((w \ K(z,u)) * v5)). T(x,y * (K(z,u) * (((w \ 1) * v5) \ 1))) = T(x,y * ((v5 \ K(z,u)) * w)). T(x,y * (K(z,u) / ((w \ 1) * v5))) = T(x,y * ((v5 \ K(z,u)) * w)). T(x,y * (K(z,u) * (w \ (1 \ v5)))) = T(x,y * ((w \ K(z,u)) * v5)). T(x,y * (K(z,u) * (w \ v5))) = T(x,y * ((w \ K(z,u)) * v5)). T(x,y * ((z \ K(u,w)) * v5)) = T(x,y * (K(u,w) * (z \ v5))). x * y != T(z,u * ((w \ K(v5,v6)) * v7)) | x \ T(z,u * (K(v5,v6) * (w \ v7))) = y. x \ T(x,y * (K(z,u) * (w \ v5))) = K(x,y * ((w \ K(z,u)) * v5)). K(x,y * (K(z,u) * (w \ v5))) = K(x,y * ((w \ K(z,u)) * v5)). K(x,y * ((z \ K(u,w)) * v5)) = K(x,y * (K(u,w) * (z \ v5))). L(x,(y * (z * u)) \ (u * y),(y * (z * u)) \ (u * y)) = L(x,L(T(z,u),u,y),L(T(z,u),u,y)). x != L(y,L(T(z,u),w,v5),L(T(z,u),w,v5)) | L(y,L(z,w,v5),L(z,w,v5)) = x. L(x,L(y,z,u),L(y,z,u)) = L(x,(u * (y * z)) \ (z * u),(u * (y * z)) \ (z * u)). L(x,(y * (z * u)) \ (u * y),(y * (z * u)) \ (u * y)) = L(x,L(z,u,y),L(z,u,y)). T(x,T((y * z) \ (((z \ (y \ 1)) * u) \ (1 / (z \ (y \ 1)))),w)) = T(x,T((((1 / z) / y) \ 1) / u,w)). x != T(y,T((z \ 1) / u,w)) | T(y,T(u * z,w) \ 1) = x. T(x,T(y * ((1 / z) / u),w) \ 1) = T(x,T((u * z) \ (((z \ (u \ 1)) * y) \ (1 / (z \ (u \ 1)))),w)). T(x,T((y * z) \ (((z \ (y \ 1)) * u) \ (1 / (z \ (y \ 1)))),w)) = T(x,T(u * ((1 / z) / y),w) \ 1). x != T(y,T(z * (u / w),v5) \ v6) | T(y,T((w / u) / z,v5) * v6) = x. T(x,T((y / (1 / z)) / u,w) * 1) = T(x,T((y * z) \ (((z \ (y \ 1)) * u) \ (1 / (z \ (y \ 1)))),w)). T(x,T((y * z) \ (((z \ (y \ 1)) * u) \ (1 / (z \ (y \ 1)))),w)) = T(x,T((y / (1 / z)) / u,w) * 1). T(x,T((y * z) \ (((z \ (y \ 1)) * u) \ (1 / (z \ (y \ 1)))),w)) = T(x,T((y / (1 / z)) / u,w)). x != T(y,T((z / (u / w)) / v5,v6)) | T(y,T((z * (w / u)) / v5,v6)) = x. T(x,T((y * (z / 1)) / u,w)) = T(x,T((y * z) \ (((z \ (y \ 1)) * u) \ (1 / (z \ (y \ 1)))),w)). T(x,T((y * z) \ (((z \ (y \ 1)) * u) \ (1 / (z \ (y \ 1)))),w)) = T(x,T((y * (z / 1)) / u,w)). T(x,T((y * z) \ (((z \ (y \ 1)) * u) \ (1 / (z \ (y \ 1)))),w)) = T(x,T((y * z) / u,w)). T(x,T((y * z) \ (((z \ (y \ 1)) * u) \ (((1 / z) / y) \ 1)),w)) = T(x,T((y * z) / u,w)). T(x,T(y \ (z \ (u \ 1)),w)) != v5 | T(x,T((u * z) * y,w) \ 1) = v5. T(x,T((((1 / y) / z) * ((y \ (z \ 1)) * u)) * (z * y),w) \ 1) = T(x,T((z * y) / u,w)). T(x,T(((y * z) \ ((y * z) \ u)) * (z * y),w) \ 1) = T(x,T((z * y) / u,w)). T(x,T((y \ z) * u,w) \ v5) != v6 | T(x,T(u \ (z \ y),w) * v5) = v6. T(x,T((y * z) \ (((z * y) \ u) \ (z * y)),w) * 1) = T(x,T((y * z) / u,w)). T(x,T((y * z) \ ((u \ (z * y)) * (z * y)),w) * 1) = T(x,T((y * z) / u,w)). T(x,T((y * z) \ ((u \ (z * y)) * (z * y)),w)) = T(x,T((y * z) / u,w)). T(x,T(y \ ((z \ u) * u),w)) != v5 | T(x,T(y \ (u * (u / z)),w)) = v5. T(x,T((y * z) \ ((z * y) * ((z * y) / u)),w)) = T(x,T((y * z) / u,w)). T(x,T(K(y,z) * ((y * z) / u),w)) = T(x,T((z * y) / u,w)). T(x,T(K(y,z) * u,w)) != v5 | T(x,K(y,z) * T(u,w)) = v5. T(x,K(y,z) * T((y * z) / u,w)) = T(x,T((z * y) / u,w)). T(x,K(y,z) * T((y * z) / u,w)) != v5 | T(x,T(T(y * z,z) / u,w)) = v5. T(x,T(T(y * z,z) / u,w)) = T(x,T((z * y) / u,w)). T(x,T(T((y * z) * z,z) / u,w)) != v5 | T(x,T(z * (y * (z / u)),w)) = v5. T(x,T(y * (z * (y / u)),w)) = T(x,T((y * (z * y)) / u,w)). T(x,T((y * (z * y)) / u,w)) = T(x,T(y * (z * (y / u)),w)). T(x,T((y * (z * y)) / u,y * z)) != w | T(x,z * (z * (y * (u \ (y / z))))) = w. T(x,y * (y * (z * (u \ (z / y))))) = T(x,T(z * (y * (z / u)),z * y)). T(x,T(y * (z * (y / u)),y * z)) = T(x,z * (z * (y * (u \ (y / z))))). T(x,T(y * (z * u),y * z)) != w | T(x,(u * y) * z) = w. T(x,((y / z) * y) * u) = T(x,u * (u * (y * (z \ (y / u))))). T(x,y * (y * (z * (u \ (z / y))))) = T(x,((z / u) * z) * y). x != T(y,((z / u) * z) * w) | T(y,z * (u \ (z * w))) = x. T(x,y * (z \ (y * u))) = T(x,u * (u * (y * (z \ (y / u))))). T(x,y * (y * (z * (u \ (z / y))))) = T(x,z * (u \ (z * y))). x != T(y,(K(z,u) * w) \ 1) | T(y,w \ K(z,u)) = x. T((x * K(y,z)) \ u,(x \ 1) \ K(y,z)) = L(u,x,x) * T(K(y,z) * (x \ 1),(K(y,z) * (x \ 1)) \ 1). L(x,y,y) * T(K(z,u) * (y \ 1),(K(z,u) * (y \ 1)) \ 1) = T((y * K(z,u)) \ x,(y \ 1) \ K(z,u)). x != T(y,(z \ 1) \ u) | T(y,z * u) = x. T((x * K(y,z)) \ u,x * K(y,z)) = L(u,x,x) * T(K(y,z) * (x \ 1),(K(y,z) * (x \ 1)) \ 1). L(x,y,y) * T(K(z,u) * (y \ 1),(K(z,u) * (y \ 1)) \ 1) = T((y * K(z,u)) \ x,y * K(z,u)). x / (y * K(z,u)) = L(x,y,y) * T(K(z,u) * (y \ 1),(K(z,u) * (y \ 1)) \ 1). L(x,y,y) * T(K(z,u) * (y \ 1),(K(z,u) * (y \ 1)) \ 1) = x / (y * K(z,u)). L(x,y,y) * T(K(z,u) * (y \ 1),(y \ 1) \ K(z,u)) = x / (y * K(z,u)). L(x,y,y) * T(K(z,u) * (y \ 1),y * K(z,u)) = x / (y * K(z,u)). L(x,y,y) * (K(z,u) / y) = x / (y * K(z,u)). T((x \ y) * K(z,u),x) = y / (x * K(z,u)). T((x \ y) * K(z,u),x) != w | ((x * x) \ y) * (K(z,u) * x) = w. ((x * x) \ y) * (K(z,u) * x) = y / (x * K(z,u)). T((x \ 1) * K(y,z),u) = (T(x,u) \ u) / (u * K(y,z)). (T(x,y) \ y) / (y * K(z,u)) = T((x \ 1) * K(z,u),y). ((x * x) \ y) * (K(z,u) * x) != w | K(z,T(u,x * (y \ x))) * (y / x) = w. K(x,T(y,z * (u \ z))) * (u / z) = u / (z * K(x,y)). K(x,T(y,z)) * (z / u) = z / (u * K(x,y)). K(x,T(y,z \ u)) * ((u * z) \ u) = (z \ u) / (u * K(x,y)). K(x,T(y,z * u)) * ((u * z) \ u) = (z \ u) / (u * K(x,y)). K(x,T(y,z * u)) * ((u * z) \ w) != v5 | (u * z) \ (K(x,y) * w) = v5. (x * y) \ (K(z,u) * x) = (y \ x) / (x * K(z,u)). (x \ y) / (y * K(z,u)) = (y * x) \ (K(z,u) * y). (T(x,y) \ y) / (y * K(z,u)) != w | T((x \ 1) * K(z,u),y) = w. T((x \ 1) * K(y,z),u) = (u * T(x,u)) \ (K(y,z) * u). (x * T(y,x)) \ (K(z,u) * x) = T((y \ 1) * K(z,u),x). (x * y) \ (K(z,u) * y) = T((x \ 1) * K(z,u),y). T((x \ 1) * K(y,z),u) = (x * u) \ (K(y,z) * u). T(x \ K(y,z),u) = (x * u) \ (K(y,z) * u). (x * y) \ (K(z,u) * y) = T(x \ K(z,u),y). T(T((x * K(y,z)) \ K(y,z),u),K(y,z) * u) = L(x,y,K(u,z)) \ 1. T(T(T(x \ 1,K(y,z)),u),K(y,z) * u) = L(x,y,K(u,z)) \ 1. T(T(T(x,K(y,z)) \ 1,u),K(y,z) * u) = L(x,y,K(u,z)) \ 1. T(T(T(x,K(y,z)) \ 1,u),K(y,z) * u) = L(x,y,K(z,u)) \ 1. L(x,(y * (z * u)) \ (u * y),(y * (z * u)) \ (u * y)) = L(x,R(T(z,u * y),u,y),R(T(z,u * y),u,y)). x != L(y,R(T(z,u),w,v5),R(T(z,u),w,v5)) | L(y,R(z,w,v5),R(z,w,v5)) = x. L(x,R(y,z,u),R(y,z,u)) = L(x,(u * (y * z)) \ (z * u),(u * (y * z)) \ (z * u)). L(x,(y * (z * u)) \ (u * y),(y * (z * u)) \ (u * y)) = L(x,R(z,u,y),R(z,u,y)). L(x,(y * (z * u)) \ (u * y),(y * (z * u)) \ (u * y)) != w | L(x,L(z,u,y),L(z,u,y)) = w. L(x,L(y,z,u),L(y,z,u)) = L(x,R(y,z,u),R(y,z,u)). L(x,R(y,z,u),R(y,z,u)) = L(x,L(y,z,u),L(y,z,u)). x != (y * z) * (z \ 1) | L(y,z,z) = x. L(x \ T(y,z),y \ x,y \ x) = (x \ T(y,z)) * ((x \ T(y,z)) * (((y \ x) * (x \ T(y,z))) * (y \ x))). (x \ T(y,z)) * ((x \ T(y,z)) * (((y \ x) * (x \ T(y,z))) * (y \ x))) = L(x \ T(y,z),y \ x,y \ x). (x \ T(y,z)) * ((x \ T(y,z)) * (1 / (x \ T(y,z)))) = L(x \ T(y,z),y \ x,y \ x). (x \ T(y,z)) * K(x \ T(y,z),(x \ T(y,z)) \ 1) = L(x \ T(y,z),y \ x,y \ x). L(x \ T(y,z),y \ x,y \ x) != u | ((x \ T(y,z)) \ 1) \ 1 = u. T(x,(y * ((y \ 1) \ z)) * (u \ T(y \ z,y * ((y \ 1) \ z)))) = T(x,T(u,y * (y * z)) \ (z / (1 / (z * y)))). x != T(y,z \ (u / (w / v5))) | T(y,z \ (u * (v5 / w))) = x. T(x,T(y,z * (z * u)) \ (u * ((u * z) / 1))) = T(x,(z * ((z \ 1) \ u)) * (y \ T(z \ u,z * ((z \ 1) \ u)))). T(x,(y * ((y \ 1) \ z)) * (u \ T(y \ z,y * ((y \ 1) \ z)))) = T(x,T(u,y * (y * z)) \ (z * ((z * y) / 1))). T(x,(y * ((y \ 1) \ z)) * (u \ T(y \ z,y * ((y \ 1) \ z)))) = T(x,T(u,y * (y * z)) \ (z * (z * y))). x != T(y,z \ (u * (u * w))) | T(y,u * (u * (z \ w))) = x. T(x,y * (y * (T(z,u * (u * y)) \ u))) = T(x,(u * ((u \ 1) \ y)) * (z \ T(u \ y,u * ((u \ 1) \ y)))). T(x,(y * ((y \ 1) \ z)) * (u \ T(y \ z,y * ((y \ 1) \ z)))) = T(x,z * (z * (T(u,y * (y * z)) \ y))). T(x,(y * ((y \ 1) \ z)) * (u \ T(y \ z,y * (y * z)))) = T(x,z * (z * (T(u,y * (y * z)) \ y))). T(x,L(y,z * (u * u),T(w,z)) * ((z * (u * u)) * w)) = T(x,L(y,T(w,z),z * (u * u)) * ((z * (u * u)) * w)). T(x,L(y,T(z,u),u * (w * w)) * ((u * (w * w)) * z)) = T(x,L(y,u * (w * w),T(z,u)) * ((u * (w * w)) * z)). x != T(y,L(z,u,T(w,v5)) * v6) | T(y,L(z,u,w) * v6) = x. T(x,L(y,z * (u * u),w) * ((z * (u * u)) * w)) = T(x,L(y,T(w,z),z * (u * u)) * ((z * (u * u)) * w)). T(x,L(y,T(z,u),u * (w * w)) * ((u * (w * w)) * z)) = T(x,L(y,u * (w * w),z) * ((u * (w * w)) * z)). x != T(y,L(z,u,w) * (u * w)) | T(y,(z * u) * w) = x. T(x,(y * (z * (u * u))) * w) = T(x,L(y,T(w,z),z * (u * u)) * ((z * (u * u)) * w)). T(x,L(y,T(z,u),u * (w * w)) * ((u * (w * w)) * z)) = T(x,(y * (u * (w * w))) * z). T(x,L(y,T(z,u),u * (w * w)) * ((u * (w * w)) * z)) != v5 | T(x,(y * T(z,u)) * (u * (w * w))) = v5. T(x,(y * T(z,u)) * (u * (w * w))) = T(x,(y * (u * (w * w))) * z). x != T(y,((z / u) * w) * u) | T(y,z * T(w,u)) = x. T(x,y * T(z * (u * u),w)) = T(x,((y / w) * T(w,z)) * (z * (u * u))). T(x,((y / z) * T(z,u)) * (u * (w * w))) = T(x,y * T(u * (w * w),z)). T(x,(y * K(z,u)) * (u * (w * w))) = T(x,y * T(u * (w * w),z)). T(x,(y * K(z,u)) * w) != v5 | T(x,y * (K(z,u) * w)) = v5. T(x,y * (K(z,u) * (u * (w * w)))) = T(x,y * T(u * (w * w),z)). T(x,y * (T(z,u) * (w * w))) = T(x,y * T(z * (w * w),u)). T(x,y * T(z * (u * u),w)) = T(x,y * (T(z,w) * (u * u))). T(x,y * T(z * (u * u),w)) = T(x,y * (u * (u * T(z,w)))). T(x,T(y,z) * T(z * (u * u),w)) != v5 | T(x,T(z * (u * u),w) * y) = v5. T(x,T(y * (z * z),u) * w) = T(x,T(w,y) * (z * (z * T(y,u)))). T(x,T(y,z) * (u * (u * T(z,w)))) = T(x,T(z * (u * u),w) * y). T(x,T(y,z) * (u * (u * T(z,w)))) != v5 | T(x,u * (u * (T(z,w) * y))) = v5. T(x,y * (y * (T(z,u) * w))) = T(x,T(z * (y * y),u) * w). T(x,T(y * (z * z),u) * w) = T(x,z * (z * (T(y,u) * w))). T(x,T(y * (z * z),u) * w) != v5 | T(x,T(w * T((y * z) * z,u),y)) = v5. T(x,T(y * T((z * u) * u,w),z)) = T(x,u * (u * (T(z,w) * y))). T(x,T(y * ((z \ u) * (z \ u)),w) * v5) = T(x,(u / z) * ((u / z) * (T(y,w) * v5))). x != T(y,z * (z * (T(u,z) * w))) | T(y,z * (u * (z * w))) = x. T(x,(y / z) * (u * ((y / z) * w))) = T(x,T(u * ((z \ y) * (z \ y)),y / z) * w). T(x,T(y * ((z \ u) * (z \ u)),u / z) * w) = T(x,(u / z) * (y * ((u / z) * w))). T(x,T(y,z / u) * w) != v5 | T(x,T(y,u \ z) * w) = v5. T(x,T(y * ((z \ u) * (z \ u)),z \ u) * w) = T(x,(u / z) * (y * ((u / z) * w))). T(x,(((y \ z) \ u) * (1 / (y \ z))) * w) = T(x,(y / z) * (u * ((y / z) * w))). T(x,(((y \ z) \ u) * (1 * (z \ y))) * w) = T(x,(y / z) * (u * ((y / z) * w))). T(x,(((y \ z) \ u) * (z \ y)) * w) = T(x,(y / z) * (u * ((y / z) * w))). T(x,(((y \ z) * u) * (y \ z)) * w) = T(x,(z / y) * (u * ((z / y) * w))). T(x,((y * z) * y) * u) != w | T(x,y * (z * (y * u))) = w. T(x,(y \ z) * (u * ((y \ z) * w))) = T(x,(z / y) * (u * ((z / y) * w))). T(x,(y / z) * (u * ((y / z) * w))) = T(x,(z \ y) * (u * ((z \ y) * w))). T(x,(y / z) * (u * ((y / z) * w))) != v5 | T(x,(y * (((1 / z) * u) * ((z / y) \ 1))) * w) = v5. T(x,(y * (((1 / z) * u) * ((z / y) \ 1))) * w) = T(x,(z \ y) * (u * ((z \ y) * w))). T(x,(y * (((1 / z) * u) / (z / y))) * w) = T(x,(z \ y) * (u * ((z \ y) * w))). T(x,(y * (z / (u / w))) * v5) != v6 | T(x,(y * (z * (w / u))) * v5) = v6. T(x,(y * (((1 / z) * u) * (y / z))) * w) = T(x,(z \ y) * (u * ((z \ y) * w))). T(x,(y * ((z \ (u * y)) / z)) * w) = T(x,(z \ y) * (u * ((z \ y) * w))). L(x,y \ (z * u),y \ (z * u)) = T(x,(y \ u) * (z * ((y \ u) * z))). T(x,(y \ z) * (u * ((y \ z) * u))) = L(x,y \ (u * z),y \ (u * z)). T(x,y * (z * (y * z))) != u | L(x,z * y,z * y) = u. L(x,y * (z \ u),y * (z \ u)) = L(x,z \ (y * u),z \ (y * u)). L(x,y \ (z * u),y \ (z * u)) = L(x,z * (y \ u),z * (y \ u)). L(x,y \ (z * u),y \ (z * u)) != w | L(x,(u * z) \ y,(u * z) \ y) = w. L(x,(y * z) \ u,(y * z) \ u) = L(x,z * (u \ y),z * (u \ y)). L(x,(y * (z * u)) \ (z * y),(y * (z * u)) \ (z * y)) != w | L(x,L(u,z,y),L(u,z,y)) = w. L(x,L(y,z,u),L(y,z,u)) = L(x,z * ((u * (z * y)) \ u),z * ((u * (z * y)) \ u)). L(x,y * ((z * (y * u)) \ z),y * ((z * (y * u)) \ z)) = L(x,L(u,y,z),L(u,y,z)). x \ y != L(z,u \ (w * v5),u \ (w * v5)) | x * L(z,w * (u \ v5),w * (u \ v5)) = y. x * L(x \ 1,y * (z \ u),y * (z \ u)) = a(x,z \ (y * u),z \ (y * u)). (L(x,(y * x) * (z \ y),(y * x) * (z \ y)) \ 1) \ (y * y) = y * (y * L(x,z,z)). x * y != a(x,x \ z,x \ z) | 1 / L(x,z,z) = y. 1 / L(x,y * z,y * z) = L(x \ 1,y * (x \ z),y * (x \ z)). L(x \ 1,y * (x \ z),y * (x \ z)) = 1 / L(x,y * z,y * z). L(x,y * (x \ z),y * (x \ z)) \ 1 = 1 / L(x,y * z,y * z). L(x,y,z * ((u * w) \ u)) != v5 | L(x,y,z / w) = v5. L(x,y * ((z * (y * u)) \ z),y / (y * u)) = L(x,L(u,y,z),L(u,y,z)). L(x,y,z / (z * u)) != w | L(x,y,z \ (u \ z)) = w. L(x,y * ((z * (y * u)) \ z),y \ (u \ y)) = L(x,L(u,y,z),L(u,y,z)). L(x,y * ((z * u) \ z),w) != v5 | L(x,y / u,w) = v5. L(x,y / (y * z),y \ (z \ y)) = L(x,L(z,y,u),L(z,y,u)). L(x,L(y,z,u),L(y,z,u)) = L(x,z / (z * y),z \ (y \ z)). x != L(y,z / (z * u),w) | L(y,z \ (u \ z),w) = x. L(x,y \ (z \ y),y \ (z \ y)) = L(x,L(z,y,u),L(z,y,u)). L(x,L(y,z,u),L(y,z,u)) = L(x,z \ (y \ z),z \ (y \ z)). x != L(y,z \ (u \ w),z \ (u \ w)) | L(y,(w \ u) * z,(w \ u) * z) = x. L(x,(y \ z) * y,(y \ z) * y) = L(x,L(z,y,u),L(z,y,u)). L(x,L(y,z,u),L(y,z,u)) = L(x,(z \ y) * z,(z \ y) * z). L(x,L(y,z,u),L(y,z,u)) = L(x,z * (y / z),(z \ y) * z). x != L(y,z,(u \ w) * u) | L(y,z,T(w,u)) = x. L(x,y * (z / y),T(z,y)) = L(x,L(z,y,u),L(z,y,u)). L(x,L(y,z,u),L(y,z,u)) = L(x,z * (y / z),T(y,z)). x != L(y,z * (u / z),T(u,z)) | L(y,u,u) = x. L(x,y,y) = L(x,L(y,z,u),L(y,z,u)). L(x,L(y,z,u),L(y,z,u)) = L(x,y,y). (L(x,y,z) \ 1) \ (x * u) = L(x * (L(x,y,z) * u),x,x). L(x * (L(x,y,z) * u),x,x) = (L(x,y,z) \ 1) \ (x * u). (L(x,y,z) \ 1) \ u = L(L(x,y,z) * u,x,x). L(L(x,y,z) * u,x,x) = (L(x,y,z) \ 1) \ u. L(x,L(y,z,u),L(y,z,u)) != w | L(x,R(y,z,u),R(y,z,u)) = w. L(x,R(y,z,u),R(y,z,u)) = L(x,y,y). x \ y != L(z,L(u,w,v5),L(u,w,v5)) | x * L(z,u,u) = y. L(x,y,z) * L(u,x,x) = (1 / L(x,y,z)) \ u. x * y != L(z,L(u,w,v5),L(u,w,v5)) | x \ L(z,u,u) = y. (1 / L(x,y,z)) \ L(u,x,x) = L(x,y,z) * u. L(x,y \ (z * u),L((z \ y) \ u,z \ y,z)) = L(x,(z \ y) \ u,(z \ y) \ u). L(x,y,y) * L(y,z,u) = T(L(y,z,u) * x,L(y,z,u)). T(L(x,y,z) * u,L(x,y,z)) = L(u,x,x) * L(x,y,z). x \ y != L(z,R(u,w,v5),R(u,w,v5)) | x * L(z,u,u) = y. (R(x,y,z) \ 1) * L(u,x,x) = R(x,y,z) \ u. L(L(x,y,z) * (x * u),x,x) != w | L(x,y,z) * ((1 / x) \ u) = w. L(x,y,z) * ((1 / x) \ u) = (L(x,y,z) \ 1) \ (x * u). (L(x,y,z) \ 1) \ (x * u) = L(x,y,z) * ((1 / x) \ u). x * y != (1 / x) \ (x \ z) | (1 / x) * z = y. (1 / L(x,y,z)) * u = L(L(x,y,z) \ u,x,x). L(L(x,y,z) \ u,x,x) = (1 / L(x,y,z)) * u. x * ((1 / L(x,y,z)) \ u) = (x \ 1) \ (L(x,y,z) * u). (x \ 1) \ (L(x,y,z) * u) = x * ((1 / L(x,y,z)) \ u). x * (L(x,y,z) * u) = (x * L(x,y,z)) * L(u,x,x). (x * L(x,y,z)) * L(u,x,x) = x * (L(x,y,z) * u). (R(x * x,y,z) \ 1) * u = R(x * x,y,z) \ u. L(L(x,y,z) \ u,x,x) != w | (1 / x) * (a(z,y,x) * u) = w. (1 / x) * (a(y,z,x) * u) = (1 / L(x,z,y)) * u. x * (R(y * y,z,u) \ 1) = x / R(y * y,z,u). (1 / (x \ 1)) * (a(y,z,x \ 1) * u) = (1 / (x \ a(x,y,z))) * u. (1 / x) * (x * (L(x,y,z) * u)) = (L(x,y,z) * (u / x)) * x. x / (L(y,z,u) \ 1) = L(x,y,y) * L(y,z,u). L(x,y,y) * L(y,z,u) = x / (L(y,z,u) \ 1). L(x,y,y) * L(1 / y,z,u) = x / (L(1 / y,z,u) \ 1). (x / (L(y,z,u) \ 1)) / y = (x * L(y,z,u)) * (y \ 1). (x \ 1) \ (L(x,y,z) * u) = (L(x,y,z) \ 1) \ (x * u). (L(x,y,z) \ 1) \ (x * u) = (x \ 1) \ (L(x,y,z) * u). x != (y \ 1) \ (L(y,z,u) * w) | y * ((1 / L(y,z,u)) \ w) = x. x * ((1 / L(x,y,z)) \ u) = (L(x,y,z) \ 1) \ (x * u). (L(x,y,z) \ 1) \ (x * u) = x * ((1 / L(x,y,z)) \ u). (L(x,y,z) \ 1) \ (x * u) != w | L(x,y,z) * ((1 / x) \ u) = w. L(x,y,z) * ((1 / x) \ u) = x * ((1 / L(x,y,z)) \ u). L(x,y,z) * u = x * ((1 / L(x,y,z)) \ ((1 / x) * u)). x * ((1 / L(x,y,z)) \ ((1 / x) * u)) = L(x,y,z) * u. x * ((1 / L(x,y,z)) \ u) != w | (x * L(x,y,z)) * u = w. (x * L(x,y,z)) * ((1 / x) * u) = L(x,y,z) * u. (x * L(x,y,z)) * (x * (u / x)) = L(x,y,z) * (u * ((x \ 1) \ 1)). L(x,y,z) * (u * ((x \ 1) \ 1)) = (x * L(x,y,z)) * (x * (u / x)). (1 / x) \ ((y / (L(1 / x,z,u) \ 1)) / (1 / x)) = ((1 / x) \ L(y,x,x)) * ((1 / x) \ L(1 / x,z,u)). ((1 / x) \ L(y,x,x)) * ((1 / x) \ L(1 / x,z,u)) = (1 / x) \ ((y / (L(1 / x,z,u) \ 1)) / (1 / x)). L(L(x,y,z) * u,x,x) = (L(x,y,z) * (u / x)) * x. (L(x,y,z) * (u / x)) * x = L(L(x,y,z) * u,x,x). x != L(L(y,z,u) * w,y,y) | (L(y,z,u) \ 1) \ w = x. (L(x,y,z) \ 1) \ u = (L(x,y,z) * (u / x)) * x. (L(x,y,z) * (u / x)) * x = (L(x,y,z) \ 1) \ u. ((L(x,y,z) \ 1) \ u) * x = (x * x) * (L(x,y,z) * (u / x)). (x * x) * (L(x,y,z) * (u / x)) = ((L(x,y,z) \ 1) \ u) * x. x * (a(y,z,x \ 1) * u) = (1 / (x \ a(x,y,z))) * u. (1 / (x \ a(x,y,z))) * u = x * (a(y,z,x \ 1) * u). (1 / (x \ a(x,y,z))) * u = x * (a(x,y,z) \ u). (a(x,y,z) \ x) * u = x * (a(x,y,z) \ u). T(1 / x,L(y,z,u)) * (y * (a(y,z,u) \ x)) = a(y,z,u) \ y. a(x * (a(x,y,z) \ u),w,K(v5,a(x,y,z) \ x)) = a(w,T(1 / u,L(x,y,z)),K(x * (a(x,y,z) \ u),v5)). x != (y * L(y,z,u)) * (y * w) | (y * y) * (L(y,z,u) * w) = x. (x * x) * (L(x,y,z) * (u / x)) = L(x,y,z) * (u * ((x \ 1) \ 1)). L(x,y,z) * (u * ((x \ 1) \ 1)) = (x * x) * (L(x,y,z) * (u / x)). x != (y * y) * (L(y,z,u) * (w / y)) | ((L(y,z,u) \ 1) \ w) * y = x. ((L(x,y,z) \ 1) \ u) * x = L(x,y,z) * (u * ((x \ 1) \ 1)). L(x,y,z) * (u * ((x \ 1) \ 1)) = ((L(x,y,z) \ 1) \ u) * x. L(x,y,z) * ((x \ u) \ 1) = ((L(x,y,z) \ 1) \ (u \ 1)) * x. ((L(x,y,z) \ 1) \ (u \ 1)) * x = L(x,y,z) * ((x \ u) \ 1). ((L(x,y,z) \ 1) \ (u \ 1)) * x != w | (u / L(x,y,z)) \ x = w. (x / L(y,z,u)) \ y = L(y,z,u) * ((y \ x) \ 1). L(x,y,z) * ((x \ u) \ 1) = (u / L(x,y,z)) \ x. L(x,y,z) * ((x \ u) \ 1) != w | a(z,y,x) \ ((u / x) \ x) = w. a(x,y,z) \ ((u / z) \ z) = (u / L(z,y,x)) \ z. L(x,y,z) * ((x \ a(z,y,x)) \ 1) != u | (a(z,y,x) / x) \ L(x,y,z) = u. (a(x,y,z) / z) \ L(z,y,x) = (a(x,y,z) / L(z,y,x)) \ z. (a(x,y,z) / L(z,y,x)) \ z = (a(x,y,z) / z) \ L(z,y,x). a(x,y,z) \ ((a(u,w,z) / z) \ z) != v5 | T(L(z,y,x) * L(z,w,u),z) = v5. T(L(x,y,z) * L(x,u,w),x) = (a(w,u,x) / L(x,y,z)) \ x. x != (a(y,z,u) / L(u,z,y)) \ u | (a(y,z,u) / u) \ L(u,z,y) = x. (a(x,y,z) / z) \ L(z,y,x) = T(L(z,y,x) * L(z,y,x),z). T(L(x,y,z) * L(x,y,z),x) = (a(z,y,x) / x) \ L(x,y,z). T((a(x,y,z) / z) \ L(z,y,x),z) = L(z,y,x) * L(z,y,x). L(x,y \ (z * u),y \ (z * u)) = L(x,(z \ y) \ u,(z \ y) \ u). L(x,(y \ z) \ u,(y \ z) \ u) = L(x,z \ (y * u),z \ (y * u)). x != L(y,z \ (u * w),z \ (u * w)) | L(y,u * (z \ w),u * (z \ w)) = x. L(x,y * (z \ u),y * (z \ u)) = L(x,(y \ z) \ u,(y \ z) \ u). L(x,(y \ z) \ u,(y \ z) \ u) = L(x,y * (z \ u),y * (z \ u)). L(x,y \ (z \ u),y \ (z \ u)) = L(x,z * (u \ y),z * (u \ y)). L(x,(y \ z) \ u,(w \ v5) \ v6) != v7 | L(x,(z \ y) * u,(v5 \ w) * v6) = v7. L(x,(y \ z) * u,(y \ z) * u) = L(x,z * (y \ u),z * (y \ u)). L(x,(y \ z) * u,(y \ z) * u) != w | L(x,(z / y) * u,(z / y) * u) = w. L(x,(y / z) * u,(y / z) * u) = L(x,y * (z \ u),y * (z \ u)). L(x,(x \ y) * z,(x \ y) * z) != u | L(x,y * (z * x),y * (z * x)) = u. L(x,y * (z * x),y * (z * x)) = L(x,y * (x \ z),y * (x \ z)). L(x,y * (x \ z),y * (x \ z)) = L(x,y * (z * x),y * (z * x)). L(x,y,(z \ ((z * u) \ 1)) * w) != v5 | L(x,y,(z * (u * z)) \ w) = v5. L(x,(y \ ((y * z) \ 1)) * u,(y * (z * y)) \ u) = L(x,((y * z) \ 1) * (y \ u),((y * z) \ 1) * (y \ u)). L(x,((y * z) \ 1) * (y \ u),((y * z) \ 1) * (y \ u)) = L(x,(y \ ((y * z) \ 1)) * u,(y * (z * y)) \ u). L(x,y,((1 / z) \ u) * w) != v5 | L(x,y,(z * u) * w) = v5. L(x,((1 / y) \ z) * u,(y * z) * u) = L(x,z * ((1 / y) \ u),z * ((1 / y) \ u)). L(x,y * ((1 / z) \ u),y * ((1 / z) \ u)) = L(x,((1 / z) \ y) * u,(z * y) * u). L(x,(y \ (z * z)) * u,(y \ (z * z)) * u) = L(x,((y \ u) * z) * z,(z * z) * (y \ u)). L(x,y * (x \ z),y * (x \ z)) != u | L(x,(x * y) * z,(x * y) * z) = u. L(x,(x * y) * z,(x * y) * z) = L(x,y * (z * x),y * (z * x)). (L(x,(y * x) * (z \ y),y * ((x / z) * y)) \ 1) \ (y * y) = y * (y * L(x,z,z)). x != L(y,((1 / z) \ u) * w,v5) | L(y,(z * u) * w,v5) = x. L(x,(y * z) * u,(y * z) * u) = L(x,z * ((1 / y) \ u),z * ((1 / y) \ u)). L(x,y * ((1 / z) \ u),y * ((1 / z) \ u)) = L(x,(z * y) * u,(z * y) * u). L(x,y,z * ((1 / u) \ w)) != v5 | L(x,y,z * (u * w)) = v5. L(x,y * ((1 / z) \ u),y * (z * u)) = L(x,(z * y) * u,(z * y) * u). L(x,y * ((z / u) \ w),v5) != v6 | L(x,y * ((u / z) * w),v5) = v6. L(x,y * ((z / 1) * u),y * (z * u)) = L(x,(z * y) * u,(z * y) * u). L(x,y * (z * u),y * (z * u)) = L(x,(z * y) * u,(z * y) * u). L(x,(y * z) * u,(y * z) * u) = L(x,z * (y * u),z * (y * u)). L(x,(x * y) * z,(x * y) * z) != u | L(x,y * (z * x),y * (z * x)) = u. L(x,y * (z * x),y * (z * x)) = L(x,y * (x * z),y * (x * z)). x != L(y,z * (y * u),z * (y * u)) | T(y,z * (u * (y \ (z * u)))) = x. T(x,y * (z * (x \ (y * z)))) = L(x,y * (z * x),y * (z * x)). L(x,y * (z * x),y * (z * x)) = T(x,y * (z * (x \ (y * z)))). L(x,y * (z * x),y * (z * x)) != u | L(x,y * (x \ z),y * (x \ z)) = u. L(x,y * (x \ z),y * (x \ z)) = T(x,y * (z * (x \ (y * z)))). T(x,y * (z * (x \ (y * z)))) \ 1 = 1 / L(x,y * z,y * z). (L(x,y * ((x / z) * y),y * ((x / z) * y)) \ 1) \ (y * y) = y * (y * L(x,z,z)). (L(x,y * ((z \ x) * y),y * ((z \ x) * y)) \ 1) \ (y * y) = y * (y * L(x,z,z)). L(x,y,(z \ (u * u)) * w) != v5 | L(x,y,(u * (u / z)) * w) = v5. L(x,(y \ (z * z)) * u,(z * (z / y)) * u) = L(x,((y \ u) * z) * z,(z * z) * (y \ u)). L(x,(y \ (z * z)) * u,w) != v5 | L(x,(z * (z / y)) * u,w) = v5. L(x,(y * (y / z)) * u,(y * (y / z)) * u) = L(x,((z \ u) * y) * y,(y * y) * (z \ u)). L(x,((y \ z) * u) * u,(u * u) * (y \ z)) = L(x,(u * (u / y)) * z,(u * (u / y)) * z). x != L(y,(z * u) * w,(z * u) * w) | L(y,u * (z * w),u * (z * w)) = x. L(x,(y / z) * (y * u),(y / z) * (y * u)) = L(x,((z \ u) * y) * y,(y * y) * (z \ u)). L(x,((y \ z) * u) * u,(u * u) * (y \ z)) = L(x,(u / y) * (u * z),(u / y) * (u * z)). x != L(y,(z / u) * w,(z / u) * w) | L(y,z * (u \ w),z * (u \ w)) = x. L(x,y * (z \ (y * u)),y * (z \ (y * u))) = L(x,((z \ u) * y) * y,(y * y) * (z \ u)). L(x,((y \ z) * u) * u,(u * u) * (y \ z)) = L(x,u * (y \ (u * z)),u * (y \ (u * z))). L(x,y,(z * z) * u) != w | L(x,y,z * (z * u)) = w. L(x,((y \ z) * u) * u,u * (u * (y \ z))) = L(x,u * (y \ (u * z)),u * (y \ (u * z))). L(x,y * (z \ (y * u)),y * (z \ (y * u))) != w | L(x,y * (y * (z \ u)),y * (y * (z \ u))) = w. ((1 / x) \ L(y,x,x)) * ((1 / x) \ L(1 / x,z,u)) = (1 / x) \ ((y * L(1 / x,z,u)) * ((1 / x) \ 1)). ((1 / x) \ L(y,x,x)) * ((1 / x) \ L(1 / x,z,u)) = (1 / x) \ ((y * L(1 / x,z,u)) * x). x != (1 / y) \ (z * y) | y * (z / (1 / y)) = x. x * ((y * L(1 / x,z,u)) / (1 / x)) = ((1 / x) \ L(y,x,x)) * ((1 / x) \ L(1 / x,z,u)). ((1 / x) \ L(y,x,x)) * ((1 / x) \ L(1 / x,z,u)) = x * ((y * L(1 / x,z,u)) / (1 / x)). (x * y) * ((1 / x) \ L(1 / x,z,u)) = x * ((y * L(1 / x,z,u)) / (1 / x)). (x * y) * a(x,z,u) = x * ((y * L(1 / x,u,z)) / (1 / x)). x * ((y * L(1 / x,z,u)) / (1 / x)) = (x * y) * a(x,u,z). x * (y * ((1 / x) \ L(1 / x,z,u))) = (x * y) * a(x,u,z). x * (y * a(x,z,u)) = (x * y) * a(x,z,u). (x * y) * a(x,z,u) = x * (y * a(x,z,u)). L(a(x,y,z),u,x) = a(x,y,z). x * a(y,z,u) = y * ((y \ x) * a(y,z,u)). x * ((x \ y) * a(x,z,u)) = y * a(x,z,u). R(x,y,a(x,z,u)) = x. (x * y) * z = x * ((y * z) * a(x,y,z)). x * ((y * z) * a(x,y,z)) = (x * y) * z. (x * (y * a(x,z,T(u,y)))) / T(x * a(x,z,u),y) = L(y,x,a(x,z,u)). L(x,y,z) * (u * a(x,w,v5)) = (L(x,y,z) * u) * a(x,w,v5). (L(x,y,z) * u) * a(x,w,v5) = L(x,y,z) * (u * a(x,w,v5)). L(a(x,y,z),u * L(z,y,x),w) != v5 | a(x,y,L(z,u,w)) = v5. a(x,y,L(z,u,x)) = a(x,y,z). (x * y) / a(x,z,u) = x * (y / a(x,z,u)). a(x,y,z \ (x * u)) = a(x,y,(x \ z) \ u). a(x,y,(x \ z) \ u) = a(x,y,z \ (x * u)). a(x \ 1,y,(z \ u) / x) = a(x \ 1,y,z \ (u / x)). L(L(x,y,z),u,z) = a(z,u,x) \ L(x,y,z). a(x,y,z) \ L(z,u,x) = L(L(z,u,x),y,x). x * (y * (z * a(x,y,z))) = (x * y) * z. a(x,y,z * a(x,y,z)) = ((x * y) * z) \ ((x * y) * (z * a(x,y,z))). ((x * y) * z) \ ((x * y) * (z * a(x,y,z))) = a(x,y,z * a(x,y,z)). x * ((x \ y) * a(x,z,u)) != w | (y * (x * a(x,z,u))) / x = w. (x * (y * a(y,z,u))) / y = x * a(y,z,u). x * L(L(x,y,z),u,z) = L(x,u,z) * L(x,y,z). L(x,y,z) * L(x,u,z) = x * L(L(x,u,z),y,z). (x * a(y,z,u)) * y = x * (y * a(y,z,u)). (x * a(y,z,u)) * y = x * (a(y,z,u) * y). (x * y) / (a(y,z,u) * y) = x / a(y,z,u). L(x,a(x,y,z),u) = x. L(a(x,y,z),z,x * y) = a(x,y,z * a(x,y,z)). a(x,y,z * a(x,y,z)) = L(a(x,y,z),z,x * y). x != L(a(y,z,u),u,w) | a(y,z,u) = x. a(x,y,z) = a(x,y,z * a(x,y,z)). a(x,y,z * a(x,y,z)) = a(x,y,z). (x * (a(x,y,z) * u)) / T(x * a(x,y,z),u) = L(u,x,a(x,y,z)). a(x,y,z) * (x * u) = x * (a(x,y,z) * u). L(x,a(y,z,u),y) = L(x,y,a(y,z,u)). x \ y != L(z,a(u,w,v5),u) | x * L(z,u,a(u,w,v5)) = y. (x * a(x,y,z)) * L(u,x,a(x,y,z)) = x * (a(x,y,z) * u). a(x,y,z) \ (x * u) = x * (a(x,y,z) \ u). x * y != z * (a(z,u,w) \ v5) | x \ (a(z,u,w) \ (z * v5)) = y. x \ (a(x,y,z) \ (x * u)) = a(x,y,z) \ u. (x * a(x,y,z)) * u != x * (a(x,y,z) * w) | w = u. x = L(x,y,a(y,z,u)). L(x,y,a(y,z,u)) = x. ((x * y) * z) / (y * z) = a(x,y,z) * x. R(x,y,z) = a(x,y,z) * x. a(x,y,z) * x != u | R(x,y,z) = u. x \ R(x,y,z) = a(x,y,z). a(x,y,z) = x \ R(x,y,z). x != a(y,z,u * w) * v5 | a(w \ (u \ 1),y,z) \ v5 = x. a(x \ (y \ 1),z,u) \ z = R(z,u,y * x). x != a(y,z,u \ 1) * w | a(u,y,z) \ w = x. a(x,y,z) \ y = R(y,z,x \ 1). R(x,y,z \ 1) = a(z,x,y) \ x. x != a(y,z,u) * y | y * a(y,z,u) = x. x * a(x,y,z) = R(x,y,z). R(x,y,z) = x * a(x,y,z). R(x,y,z) * u = x * (a(x,y,z) * u). x * (a(x,y,z) * u) = R(x,y,z) * u. (x * y) / R(y,z,u) = x / a(y,z,u). x != y \ R(y,z \ 1,u) | a(u,y,(u \ z) \ u) = x. a(x,y,(x \ z) \ x) = a(y,z \ 1,x). x \ y != z \ R(z,u,w) | x * a(z,u,w) = y. a(x,y,z) * a(z,u,w) = L(z,y,x) \ R(z,u,w). L(x,y,z) \ R(x,u,w) = a(z,y,x) * a(x,u,w). x \ y != a(z * z,u,T(w,v5)) | x * a(z * z,u,w) = y. (x * x) * a(x * x,y,z) = R(x * x,y,T(z,u)). R(x * x,y,T(z,u)) = (x * x) * a(x * x,y,z). x \ y != a(z,T(u,w),v5) | x * a(z,u,T(v5,w)) = y. x * a(x,y,T(z,u)) = R(x,T(y,u),z). x \ y != a(z,u,w * ((v5 \ v6) \ v7)) | x * a(z,u,w * ((v6 \ v5) * v7)) = y. x * a(x,y,z * ((u \ w) * v5)) = R(x,y,z * ((w \ u) \ v5)). x \ y != a(z,u,(w / v5) \ v6) | x * a(z,u,(v5 / w) * v6) = y. x * a(x,y,(z / u) * w) = R(x,y,(u / z) \ w). x \ y != a(z,u,(w \ v5) \ v6) | x * a(z,u,(v5 \ w) * v6) = y. x * a(x,y,(z \ u) * w) = R(x,y,(u \ z) \ w). x \ y != a(z,(u / w) \ v5,v6) | x * a(z,(w / u) * v5,v6) = y. x * a(x,(y / z) * u,w) = R(x,(z / y) \ u,w). x \ y != a(z,(u \ w) \ v5,v6) | x * a(z,(w \ u) * v5,v6) = y. x * a(x,(y \ z) * u,w) = R(x,(z \ y) \ u,w). x * a(x,y,z) != u | R(x,y,z) = u. x != (y \ 1) * a(z,u,w) | y \ a(z,u,w) = x. x \ a(x \ 1,y,z) = R(x \ 1,y,z). R(x,y,z) != x * u | a(x,y,z) = u. x \ R(x,y,z) != u | a(x,y,z) = u. R(x,y,z) \ x = a(x,y,z) \ 1. R(x,y,z) \ x = a(z \ 1,x,y). a(x \ 1,y,z) = R(y,z,x) \ y. (x * R(y,z,u)) / y = x * a(y,z,u). (R(x,y,z \ 1) * u) / (a(z,x,y) \ 1) = a(z,x,y) \ (x * (u / (a(z,x,y) \ 1))). a(x,y,z) \ (y * (u / (a(x,y,z) \ 1))) = (R(y,z,x \ 1) * u) / (a(x,y,z) \ 1). x * (R(y,z,u) \ y) = x / a(y,z,u). a(x \ y,z,u) = R(z,u,y \ x) \ z. R(x,y,z \ u) \ x = a(u \ z,x,y). x / (R(x,y,z) / a(z \ 1,x,y)) = (R(x,y,z) \ x) * (R(x,y,z) \ x). a(x \ (y \ 1),z,u) \ z != w | R(z,u,y * x) = w. R(x,y,z) \ (x * u) = a(x,y,z) \ u. R(x,y,z) \ u = a(x,y,z) \ (x \ u). a(x,y,z) \ (x \ u) = R(x,y,z) \ u. x \ y = a(x,z,u) * (R(x,z,u) \ y). a(x,y,z) * (R(x,y,z) \ u) = x \ u. x * (a(x,y,z) * u) != w | a(x,y,z) * (x * u) = w. a(x,y,z) * (x * u) = R(x,y,z) * u. x \ (R(x,y,z) * u) != w | a(x,y,z) * u = w. a(x,y,(z \ u) \ w) != v5 | a(x,y,(u \ z) * w) = v5. a(x,y,(z \ x) * x) = a(y,z \ 1,x). R(x,y,T(z,u)) = R(x,T(y,u),z). R(x,T(y,z),u) = R(x,y,T(u,z)). R(x,T(y,z),u) != w | R(x,y,T(u,z)) = w. R(x,T(y,z),u) != w | R(x,z * (y / z),u) = w. R(x,y * (z / y),u) = R(x,z,T(u,y)). R(x,y / z,u) = R(x,z \ y,T(u,z)). R(x,y \ z,T(u,y)) = R(x,z / y,u). x \ (x \ ((x * (x * y)) * a((x * x) \ 1,z,u))) = x * (x * (y * R((x * x) \ 1,z,u))). x * (x * (y * R(x \ (x \ 1),z,u))) = y * a(x \ (x \ 1),z,u). x \ (x \ (y * R(x * x,z,u))) = y * a(x * x,z,u). x * y != z * a(u,w,v5) | x \ ((z * R(u,w,v5)) / u) = y. x \ ((x * R(y,z,u)) / y) = a(y,z,u). L(x,y \ z,y) \ x = a((z \ 1) \ y,x,y). a((x \ 1) \ y,z,y) = L(z,y \ x,y) \ z. R(x,y,z) \ (x * u) != w | x * (R(x,y,z) \ u) = w. x * (R(x,y,z) \ u) = a(x,y,z) \ u. R(x,y,z) \ L(x,u,w) = a(x,y,z) \ a(x \ 1,w,u). a(x,y,z) \ a(x \ 1,u,w) = R(x,y,z) \ L(x,w,u). T(a(x,y,z) \ u,R(x,y,z)) = (x * u) / R(x,y,z). R(x,y,z) \ R(x,u,w) = a(x,y,z) \ a(x,u,w). a(x,y,z) \ a(x,u,w) = R(x,y,z) \ R(x,u,w). a(x * x,y,z) \ (x \ (x \ u)) = R(x * x,y,z) \ L(u,x,x). a(x,y,z) * R(x,u,w) = R(x,y,z) * a(x,u,w). a(x,y,z * x) != u | a(x,y,x * z) = u. a(x,y,x * (z \ x)) = a(y,z \ 1,x). R(x,y * z,u) = R(x,z * y,T(u,y)). R(x,y * z,T(u,z)) = R(x,z * y,u). R(x,y * z,u) = R(x,z * y,T(u,z)). R(x,y * z,T(u,y)) = R(x,z * y,u). x != R(y,z / u,w) | R(y,z / ((u \ 1) \ 1),w) = x. R(x,y / ((z \ 1) \ 1),u) = R(x,z \ y,T(u,z)). R(x,y \ z,T(u,y)) = R(x,z / ((y \ 1) \ 1),u). R(x,y \ z,1 / (y \ u)) = R(x,z / y,y / u). R(x,((y \ z) \ 1) \ u,T(w,(y \ z) \ 1)) = R(x,(y \ z) * T(u,z \ y),w). x * y != a(z,u,w) \ (z \ v5) | x \ (R(z,u,w) \ v5) = 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). a(x \ 1,y,((z * x) \ 1) / x) = a(y,z \ 1,x \ 1). R(x,y,T(z * u,z)) != w | R(x,y,u * z) = w. R(x,y * z,u * z) = R(x,z * y,z * u). R(x,(y \ (1 / (y * z))) * z,T(u,y \ (1 / (y * z)))) = R(x,((y * z) \ 1) * ((y / z) \ 1),u). a((x \ 1) \ y,z,u) != w | a(x * y,z,u) = w. a(x * y,z,y) = L(z,y \ x,y) \ z. L(x,y \ z,y) \ x = a(z * y,x,y). a(x,x \ y,z) = a(y * x,z,x). a(x * y,z,y) = a(y,y \ x,z). R(T(x,x \ y),z,u) \ 1 = (x \ y) \ (x \ (R(x,z,u) \ y)). (x \ y) \ (x \ (R(x,z,u) \ y)) = R(T(x,x \ y),z,u) \ 1. R(x * x,y,T(z,u)) != w | R(x * x,y,z) = w. R(x,y,(z / u) * w) = R(x,y,(u / z) \ w). R(x,y,(z / u) \ w) = R(x,y,(u / z) * w). R(x,y,(z / (1 / u)) \ w) != v5 | R(x,y,((u \ 1) * (1 / z)) * w) = v5. R(x,y,((z \ 1) * (1 / u)) * w) = R(x,y,((1 / z) / u) * w). R(x,y * (z / y),(1 / y) \ (z \ 1)) != u | L(x,(1 / y) * (z \ 1),y * (z / y)) = u. L(x,(1 / y) * (z \ 1),y * (z / y)) = R(x,y * (z / y),(y / 1) * (z \ 1)). R(x,y * (z / y),(y / 1) * (z \ 1)) = L(x,(1 / y) * (z \ 1),y * (z / y)). R(x,y,((z / u) \ w) * L(v5,z / u,z / u)) = R(x,y,(u / z) * ((w * (v5 * (z / u))) / (z / u))). R(x,y,(z / u) * ((w * (v5 * (u / z))) / (u / z))) = R(x,y,((u / z) \ w) * L(v5,u / z,u / z)). R(x,y,(z * u) \ w) = R(x,y,(T(z \ 1,u) / u) * w). R(x,y,(T(z \ 1,u) / u) * w) = R(x,y,(z * u) \ w). R(x,y,((1 / z) \ u) \ w) = R(x,y,((T(z,u) \ 1) / u) * w). R(x,y,((T(z,u) \ 1) / u) * w) = R(x,y,((1 / z) \ u) \ w). R(x,y,((1 / z) \ (1 / u)) \ w) = R(x,y,((u * (z \ 1)) / 1) * w). R(x,y,(z \ u) \ w) != v5 | R(x,y,(u \ z) * w) = v5. R(x,(y / z) * u,w) = R(x,(z / y) \ u,w). R(x,(y / z) \ u,w) = R(x,(z / y) * u,w). R(x,(y / z) \ u,w) != v5 | R(x,(z / y) * u,w) = v5. R(x,(1 / y) \ y,y \ (y \ z)) != u | L(x,y \ (z \ (y \ 1)),y * y) = u. L(x,y \ (z \ (y \ 1)),y * y) = R(x,(y / 1) * y,y \ (y \ z)). R(x,(y / 1) * y,y \ (y \ z)) = L(x,y \ (z \ (y \ 1)),y * y). R(x,(y \ z) * u,w) = R(x,(z \ y) \ u,w). R(x,(y \ z) \ u,w) = R(x,(z \ y) * u,w). R(x,(y \ z) \ u,w) != v5 | R(x,(z \ y) * u,w) = v5. R(x,(y \ z) * u,T(w,z \ y)) = R(x,u / (((z \ y) \ 1) \ 1),w). R(x,y / (((z \ u) \ 1) \ 1),w) = R(x,(u \ z) * y,T(w,z \ u)). R(x,y \ z,(y \ u) \ 1) = R(x,z / y,y / u). T(a(x,y,z) \ u,L(x,y,z)) = (x * u) / R(x,y,z). R(x,y \ z,(u \ y) * 1) = R(x,z / y,y / u). R(x,(y / z) \ z,(z \ y) * 1) = R(x,z * (z / y),z \ y). R(x,(y \ 1) \ 1,(y \ z) * 1) = L(x,y \ z,z \ (z \ y)). R(x,y \ z,u \ y) = R(x,z / y,y / u). R(x,y / z,z / u) = R(x,z \ y,u \ z). R(x,(y * y) / z,z / y) != u | L(x,y \ z,z \ 1) = u. L(x,y \ z,z \ 1) = R(x,z \ (y * y),y \ z). R(x,y \ (z * z),z \ y) = L(x,z \ y,y \ 1). R(x,1 / y,z) != u | R(x,y \ 1,z) = u. R(x,y \ 1,y / z) = R(x,y \ 1,z \ y). x != R(y,z \ 1,u \ z) | L(y,z * u,z \ 1) = x. L(x,y * z,y \ 1) = R(x,y \ 1,y / z). R(x,y \ 1,y / z) = L(x,y * z,y \ 1). R(x,(1 / L(y,z,z)) \ 1,(1 / L(y,z,z)) / z) = R(x,(1 / L(y,z,z)) \ 1,(z \ 1) * (1 / y)). R(x,y \ (z * z),u) != w | R(x,z * (z / y),u) = w. R(x,y * (y / z),y \ z) = L(x,y \ z,z \ 1). T(a(x,y,z) \ ((u / x) \ 1),L(x,y,z)) != w | u \ (a(x,y,z) \ x) = w. x \ (a(y,z,u) \ y) = (y * ((x / y) \ 1)) / R(y,z,u). (x * ((y / x) \ 1)) / R(x,z,u) = y \ (a(x,z,u) \ x). a(x,y,z) \ (1 / a(u,w,x)) = R(x,y,z) \ L(x,w,u). a(x \ 1,y,((z / x) \ x) \ 1) = a(y,(z \ 1) \ 1,x \ 1). R(x,y,(T(z,u) / u) * w) != v5 | R(x,y,(u \ z) * w) = v5. R(x,y,(z \ (u \ 1)) * w) = R(x,y,(u * z) \ w). ((x \ y) * y) / R(y,z,u) = x \ (a(y,z,u) \ y). (x * y) / R(y,z,u) != w | x / a(y,z,u) = w. (x \ y) / a(y,z,u) = x \ (a(y,z,u) \ y). R(x,y,z * ((u \ w) * v5)) = R(x,y,z * ((w \ u) \ v5)). R(x,y,z * ((u \ w) \ v5)) = R(x,y,z * ((w \ u) * v5)). R(x,y,z * ((u \ w) \ 1)) = R(x,y,z * (w \ u)). R(x,y,z / (u \ w)) = R(x,y,z * (w \ u)). R(x,y,z * T(1 / u,w)) = R(x,y,z * (w \ (u \ w))). R(x,y,z * T(1 / u,w)) = R(x,y,z * (1 \ T(u \ 1,w))). R(x,y,z * (1 \ T(u \ 1,w))) = R(x,y,z * T(1 / u,w)). R(x,y,z / (u \ (1 / w))) != v5 | R(x,y,z * (w / (u \ 1))) = v5. R(x,y,z * (u / (w \ 1))) = R(x,y,z * ((1 / u) \ w)). x != R(y,z,((1 / u) / w) * v5) | R(y,z,(u \ (w \ 1)) * v5) = x. R(x,y,(z \ (u \ 1)) * w) = R(x,y,((z \ 1) * (1 / u)) * w). R(x,y,((z \ 1) * (1 / u)) * w) = R(x,y,(z \ (u \ 1)) * w). R(x,y,((T(z,u) \ 1) / u) * w) != v5 | R(x,y,(u \ (1 / z)) * w) = v5. R(x,(y / z) \ z,z \ y) = R(x,z * (z / y),z \ y). R(x,(y / z) * y,y \ z) = R(x,y * (y / z),y \ z). R(x,(y / z) * y,u) != w | R(x,y * (z \ y),u) = w. R(x,y * (z \ y),y \ z) = R(x,y * (y / z),y \ z). R(x,y * (y / z),y \ z) = R(x,y * (z \ y),y \ z). R(x,y * (y / z),y \ z) != u | L(x,y \ z,z \ 1) = u. L(x,y \ z,z \ 1) = R(x,y * (z \ y),y \ z). R(x,y * (z \ y),y \ z) = L(x,y \ z,z \ 1). R(x,y * (z \ (1 / (z * y))),(z \ y) \ (y * y)) = L(x,(z \ y) \ (y * y),(y * y) \ 1). R(x,(y \ 1) \ 1,y \ z) = L(x,y \ z,z \ (z \ y)). R(x,y,y \ z) = L(x,y \ z,z \ (z \ y)). L(x,y \ z,z \ (z \ y)) = R(x,y,y \ z). a(x \ 1,y,((z / x) \ x) \ 1) != u | a(x \ 1,y,x \ (x \ z)) = u. a(x \ 1,y,x \ (x \ z)) = a(y,(z \ 1) \ 1,x \ 1). x != a(y,z \ 1,u \ 1) | a(z,u,y) = x. a(x \ 1,y,z) = a(y \ 1,z,y \ (y \ x)). a(x \ 1,y,x \ (x \ z)) = a(z \ 1,x,y). a(x \ 1,y,x \ (x \ z)) != u | a(x \ 1,y,x \ (z / x)) = u. a(x \ 1,y,x \ (z / x)) = a(z \ 1,x,y). R(x,y,z * T(u \ 1,w)) = R(x,y,z * T(1 / u,w)). R(x,y,z * T(1 / u,w)) = R(x,y,z * T(u \ 1,w)). R(x,y,z * T(1 / u,w)) != v5 | R(x,y,z * (w \ (u \ w))) = v5. R(x,y,z * (u \ (w \ u))) = R(x,y,z * T(w \ 1,u)). R(x,y,z * T(u \ 1,w)) = R(x,y,z * (w \ (u \ w))). x != R(y,z,u * (w \ (v5 \ w))) | R(y,z,u / T(v5,w)) = x. R(x,y,z / T(u,w)) = R(x,y,z * T(u \ 1,w)). R(x,y,z * T(u \ 1,w)) = R(x,y,z / T(u,w)). R(x,y,z \ T(u \ 1,w)) = R(x,y,(z \ 1) / T(u,w)). R(x,y,(z \ 1) / T(u,w)) = R(x,y,z \ T(u \ 1,w)). R(x,y,z \ (T(u,w) \ 1)) = R(x,y,z \ T(u \ 1,w)). R(x,y,z \ T(u \ 1,w)) = R(x,y,z \ (T(u,w) \ 1)). x != R(y,z,(u \ (w \ 1)) * v5) | R(y,z,(w * u) \ v5) = x. R(x,y,(z * u) \ w) = R(x,y,((u \ 1) * (1 / z)) * w). R(x,y,((z \ 1) * (1 / u)) * w) = R(x,y,(u * z) \ w). x != R(y * y,z,u) \ L(w,y,y) | w * (R(y * y,z,u) \ 1) = x. x * (R(y * y,z,u) \ 1) = a(y * y,z,u) \ (y \ (y \ x)). a(x * x,y,z) \ (x \ (x \ u)) = u * (R(x * x,y,z) \ 1). x != y * (R(z * z,u,w) \ 1) | y / R(z * z,u,w) = x. x / R(y * y,z,u) = a(y * y,z,u) \ (y \ (y \ x)). a(x * x,y,z) \ (x \ (x \ u)) = u / R(x * x,y,z). x != y * a(z \ (u \ 1),w,v5) | y / a(w,v5,u * z) = x. x / a(y,z,u * u) = u * (u * (x * R(u \ (u \ 1),y,z))). x * (x * (y * R(x \ (x \ 1),z,u))) = y / a(z,u,x * x). x != y / a(z,u,w * w) | a(z,u,w * w) \ y = x. a(x,y,z * z) \ u = z * (z * (u * R(z \ (z \ 1),x,y))). x * (x * (y * R(x \ (x \ 1),z,u))) = a(z,u,x * x) \ y. x * (x * (y * R(x \ (x \ 1),z,u))) != w | a(z,u,x * x) \ y = w. R(x,y,((1 / z) \ (1 / u)) * w) = R(x,y,((z * (u \ 1)) / 1) * w). R(x,y,((z * (u \ 1)) / 1) * w) = R(x,y,((1 / z) \ (1 / u)) * w). R(x,y * y,y \ (y \ z)) = L(x,y \ (z \ (y \ 1)),y * y). L(x,y \ (z \ (y \ 1)),y * y) = R(x,y * y,y \ (y \ z)). x / (R(x,y,z) * a(x,y,z)) = (R(x,y,z) \ x) * (R(x,y,z) \ x). (R(x,y,z) \ x) * (R(x,y,z) \ x) = x / (R(x,y,z) * a(x,y,z)). (R(x,y,z) \ x) * (R(x,y,z) \ x) = x / (a(x,y,z) * R(x,y,z)). x * (R(y,z,u) \ y) != w | x / a(y,z,u) = w. (R(x,y,z) \ x) / a(x,y,z) = x / (a(x,y,z) * R(x,y,z)). (x \ y) / a(y,z,u) != w | x \ (a(y,z,u) \ y) = w. R(x,y,z) \ (a(x,y,z) \ x) = x / (a(x,y,z) * R(x,y,z)). x / (a(x,y,z) * R(x,y,z)) = R(x,y,z) \ (a(x,y,z) \ x). R(x,((y \ z) \ 1) \ u,T(w,z \ y)) = R(x,(y \ z) * T(u,z \ y),w). R(x,(y \ 1) \ z,u) != w | R(x,y * z,u) = w. R(x,(y \ z) * u,T(w,z \ y)) = R(x,(y \ z) * T(u,z \ y),w). R(x,(y \ z) * T(u,z \ y),w) = R(x,(y \ z) * u,T(w,z \ y)). R(x,y / ((z \ u) \ 1),w) = R(x,(z \ u) * y,T(w,u \ z)). R(x,(y \ z) * u,T(w,z \ y)) = R(x,u / ((y \ z) \ 1),w). x != R(y,z / (u \ 1),w) | R(y,z * u,w) = x. R(x,y * (z \ u),w) = R(x,(z \ u) * y,T(w,u \ z)). R(x,(y \ z) * u,T(w,z \ y)) = R(x,u * (y \ z),w). R(x,(y \ z) * u,T(w,z \ y)) != v5 | R(x,u / (((z \ y) \ 1) \ 1),w) = v5. R(x,y / (((z \ u) \ 1) \ 1),w) = R(x,y * (u \ z),w). R(x,y / ((z \ 1) \ 1),u) != w | R(x,y / z,u) = w. R(x,y / (z \ u),w) = R(x,y * (u \ z),w). R(x,y / z,u) != w | R(x,y * (1 / z),u) = w. R(x,y * (1 / (z \ u)),w) = R(x,y * (u \ z),w). R(x,y * T(z \ 1,u),w) = R(x,y * (u \ (z \ u)),w). x != R(y,z * (u \ (w \ u)),v5) | R(y,z / T(w,u),v5) = x. R(x,y / T(z,u),w) = R(x,y * T(z \ 1,u),w). R(x,y * T(z \ 1,u),w) = R(x,y / T(z,u),w). R(x,(y \ 1) * T(z \ 1,u),w) != v5 | R(x,y \ T(1 / z,u),w) = v5. R(x,y \ T(1 / z,u),w) = R(x,(y \ 1) / T(z,u),w). R(x,(y \ 1) / T(z,u),w) = R(x,y \ T(1 / z,u),w). R(x,(y \ 1) / z,u) != w | R(x,y \ (z \ 1),u) = w. R(x,y \ (T(z,u) \ 1),w) = R(x,y \ T(1 / z,u),w). R(x,y \ T(1 / z,u),w) = R(x,y \ (T(z,u) \ 1),w). R(x,y * (z / y),y * (z \ 1)) = L(x,(1 / y) * (z \ 1),y * (z / y)). L(x,(1 / y) * (z \ 1),y * (z / y)) = R(x,y * (z / y),y * (z \ 1)). x != R(y,z,u * (w \ 1)) | R(y,z,u / w) = x. R(x,y * (z / y),y / z) = L(x,(1 / y) * (z \ 1),y * (z / y)). L(x,(1 / y) * (z \ 1),y * (z / y)) = R(x,y * (z / y),y / z). x != R(y,z * (u / z),w) | R(y,u,T(w,z)) = x. R(x,y,T(z / y,z)) = L(x,(1 / z) * (y \ 1),z * (y / z)). L(x,(1 / y) * (z \ 1),y * (z / y)) = R(x,z,T(y / z,y)). x != R(y,z,T(u / z,w)) | R(y,z,T(z \ u,w)) = x. R(x,y,T(y \ z,z)) = L(x,(1 / z) * (y \ 1),z * (y / z)). L(x,(1 / y) * (z \ 1),y * (z / y)) = R(x,z,T(z \ y,y)). x != R(y,z,T(u \ w,w)) | R(y,z,w / u) = x. R(x,y,z / y) = L(x,(1 / z) * (y \ 1),z * (y / z)). L(x,(1 / y) * (z \ 1),y * (z / y)) = R(x,z,y / z). x != R(y,z,u / z) | R(y,z,z \ u) = x. R(x,y,y \ z) = L(x,(1 / z) * (y \ 1),z * (y / z)). L(x,(1 / y) * (z \ 1),y * (z / y)) = R(x,z,z \ y). L(x,y,z * (u / z)) != w | L(x,y,T(u,z)) = w. L(x,(1 / y) * (z \ 1),T(z,y)) = R(x,z,z \ y). L(x,(1 / y) / z,T(z,y)) = R(x,z,z \ y). L(x,y / z,T(z,u)) != w | L(x,z \ y,T(z,u)) = w. L(x,y \ (1 / z),T(y,z)) = R(x,y,y \ z). L(x,y \ (z \ 1),T(y,z)) = R(x,y,y \ z). L(x,y \ (z \ 1),T(u,z)) != w | L(x,z \ (y \ 1),u) = w. L(x,y \ (z \ 1),z) = R(x,z,z \ y). x != y / (a(z,u,w) \ 1) | y * a(z,u,w) = x. (R(x,y,z \ 1) * u) * a(z,x,y) = a(z,x,y) \ (x * (u / (a(z,x,y) \ 1))). a(x,y,z) \ (y * (u / (a(x,y,z) \ 1))) = (R(y,z,x \ 1) * u) * a(x,y,z). a(x,y,z) \ (y * (u * a(x,y,z))) = (R(y,z,x \ 1) * u) * a(x,y,z). a(x,y,z) \ (y * u) != w | y * (a(x,y,z) \ u) = w. x * (a(y,x,z) \ (u * a(y,x,z))) = (R(x,z,y \ 1) * u) * a(y,x,z). (R(x,y,z \ 1) * u) * a(z,x,y) = x * (a(z,x,y) \ (u * a(z,x,y))). (R(x,y,z \ 1) * u) * a(z,x,y) = x * T(u,a(z,x,y)). (R(x,y,z \ 1) * u) * a(z,x,y) = x * L(u,y,K(z,x)). (R(x,y,z \ 1) * u) * a(z,x,y) = x * L(u,y,K(x,z)). x \ (x \ ((x * (x * y)) / a(z,u,x * x))) = x * (x * (y * R((x * x) \ 1,z,u))). x \ (x \ (a(y,z,x * x) \ (x * (x * u)))) = x * (x * (u * R((x * x) \ 1,y,z))). x \ (x \ (L(x * x,y,z) * L(u,x,x))) = x * (x * (u * R((x * x) \ 1,z,y))). x \ (x \ (y * L(x * x,z,u))) = x * (x * (y * R((x * x) \ 1,u,z))). x * (x * (y * R((x * x) \ 1,z,u))) = x \ (x \ (y * L(x * x,u,z))). x * (x * (y * R(x \ (x \ 1),z,u))) = x \ (x \ (y * L(x * x,u,z))). a(x,y,z * z) \ u = z \ (z \ (u * L(z * z,y,x))). x \ (x \ (y * L(x * x,z,u))) = a(u,z,x * x) \ y. R(x,y * (z \ (1 / (z * y))),(y \ z) * (y * y)) = L(x,(z \ y) \ (y * y),(y * y) \ 1). R(x,y * (z \ (1 / (z * y))),y * (y * (y \ z))) = L(x,(z \ y) \ (y * y),(y * y) \ 1). R(x,y * (z \ (1 / (z * y))),y * z) = L(x,(z \ y) \ (y * y),(y * y) \ 1). x != L(y,z,(u * w) \ 1) | L(y,z,w \ (u \ 1)) = x. L(x,(y \ z) \ (z * z),z \ (z \ 1)) = R(x,z * (y \ (1 / (y * z))),z * y). R(x,y * (z \ (1 / (z * y))),y * z) = L(x,(z \ y) \ (y * y),y \ (y \ 1)). x != L(y,z \ (u * u),w) | L(y,u * (u / z),w) = x. L(x,y * (y / (z \ y)),y \ (y \ 1)) = R(x,y * (z \ (1 / (z * y))),y * z). R(x,y * (z \ (1 / (z * y))),y * z) = L(x,y * (y / (z \ y)),y \ (y \ 1)). R(x,y * (z \ (1 / (z * y))),y * z) = L(x,y * z,y \ (y \ 1)). R(x,y \ T(1 / y,z),T(u,y \ (1 / (y * z)))) = R(x,((y * z) \ 1) * ((y / z) \ 1),u). R(x,y \ T(1 / y,z),T(u,y \ ((y * z) \ 1))) = R(x,((y * z) \ 1) * ((y / z) \ 1),u). R(x,y \ T(1 / y,z),T(u,y \ (z \ (y \ 1)))) = R(x,((y * z) \ 1) * ((y / z) \ 1),u). x != R(y,z,u * L(w,v5,v5)) | R(y,z,u * w) = x. R(x,y,((z / u) \ w) * v5) = R(x,y,(u / z) * ((w * (v5 * (z / u))) / (z / u))). R(x,y,(z / u) * ((w * (v5 * (u / z))) / (u / z))) = R(x,y,((u / z) \ w) * v5). R(x,y,(z / u) * ((z / u) \ (((z / u) * w) * v5))) = R(x,y,((u / z) \ w) * v5). R(x,y,((z / u) * w) * v5) = R(x,y,((u / z) \ w) * v5). R(x,y,((z / u) \ w) * v5) = R(x,y,((u / z) * w) * v5). R(x,y,((1 / z) \ (1 / u)) * w) != v5 | R(x,y,((z * (u \ 1)) / 1) * w) = v5. R(x,y,((z * (u \ 1)) / 1) * w) = R(x,y,((z / 1) * (1 / u)) * w). R(x,y,((z * (u \ 1)) / 1) * w) = R(x,y,(z * (1 / u)) * w). R(x,y,(z * (u \ 1)) * w) = R(x,y,(z * (1 / u)) * w). R(x,y,(z * (1 / u)) * w) = R(x,y,(z * (u \ 1)) * w). x != R(y,z,(u * (w \ 1)) * v5) | R(y,z,(u / w) * v5) = x. R(x,y,(z / u) * w) = R(x,y,(z * (1 / u)) * w). R(x,y,(z * (1 / u)) * w) = R(x,y,(z / u) * w). R(x,y,((z \ 1) * (1 / u)) * w) != v5 | R(x,y,(u * z) \ w) = v5. R(x,y,(z * u) \ w) = R(x,y,((u \ 1) / z) * w). R(x,y,((z \ 1) / u) * w) = R(x,y,(u * z) \ w). R(x,y,(z \ (1 / u)) * w) = R(x,y,(z * T(u,z)) \ w). R(x,y,(z * T(u,z)) \ w) = R(x,y,(z \ (1 / u)) * w). R(x,y,(z / u) * w) = R(x,y,(u * (1 / z)) \ w). R(x,y,(z * (1 / u)) \ w) = R(x,y,(u / z) * w). R(x,y,(z * u) \ w) = R(x,y,(u \ (1 / z)) * w). R(x,y,(z \ (1 / u)) * w) = R(x,y,(u * z) \ w). R(x,L(y,z,z),(1 / L(y,z,z)) / z) = R(x,(1 / L(y,z,z)) \ 1,(z \ 1) * (1 / y)). R(x,L(y,z,z),(1 / y) * (1 / z)) = R(x,(1 / L(y,z,z)) \ 1,(z \ 1) * (1 / y)). R(x,(1 / L(y,z,z)) \ 1,(z \ 1) * (1 / y)) = R(x,L(y,z,z),(1 / y) * (1 / z)). x != R(y,z,u * (1 / w)) | R(y,z,u / w) = x. R(x,L(y,z,z),(1 / y) / z) = R(x,(1 / L(y,z,z)) \ 1,(z \ 1) * (1 / y)). R(x,(1 / L(y,z,z)) \ 1,(z \ 1) * (1 / y)) = R(x,L(y,z,z),(1 / y) / z). x != R(y,z,(1 / u) / w) | R(y,z,u \ (w \ 1)) = x. R(x,L(y,z,z),y \ (z \ 1)) = R(x,(1 / L(y,z,z)) \ 1,(z \ 1) * (1 / y)). R(x,(1 / L(y,z,z)) \ 1,(z \ 1) * (1 / y)) = R(x,L(y,z,z),y \ (z \ 1)). x != R(y,L(z,u,u),w) | R(y,z,w) = x. R(x,y,y \ (z \ 1)) = R(x,(1 / L(y,z,z)) \ 1,(z \ 1) * (1 / y)). R(x,(1 / L(y,z,z)) \ 1,(z \ 1) * (1 / y)) = R(x,y,y \ (z \ 1)). L(x,y \ z,y) = R(x,(1 / L(y,z,z)) \ 1,(z \ 1) * (1 / y)). R(x,(1 / L(y,z,z)) \ 1,(z \ 1) * (1 / y)) = L(x,y \ z,y). R(x,L(y,z,z),(z \ 1) * (1 / y)) = L(x,y \ z,y). R(x,L(y,z,z),(z \ 1) / y) = L(x,y \ z,y). R(x,L(y,z,z),z \ (y \ 1)) = L(x,y \ z,y). R(x,L(y,z,z),u) != w | R(x,y,u) = w. R(x,y,z \ (y \ 1)) = L(x,y \ z,y). R(x,y,z \ T(y \ 1,u)) = L(x,y \ (K(u,y \ 1) * z),y). L(x,y \ (K(z,y \ 1) * u),y) = R(x,y,u \ T(y \ 1,z)). R(x,y,(1 / z) \ T(y \ 1,u)) = L(x,y \ (K(y \ 1,u) / z),y). x != R(y,z,u \ T(w \ 1,v5)) | R(y,z,u \ (T(w,v5) \ 1)) = x. R(x,y,z \ (T(y,u) \ 1)) = L(x,y \ (K(u,y \ 1) * z),y). L(x,y \ (K(z,y \ 1) * u),y) = R(x,y,u \ (T(y,z) \ 1)). L(x,T(y,y * z) \ u,y) = R(x,y,u \ (T(y,z) \ 1)). R(x,y,z \ (T(y,u) \ 1)) = L(x,T(y,y * u) \ z,y). R(x,y,z \ T(u \ 1,w)) != v5 | R(x,y,z \ (T(u,w) \ 1)) = v5. R(x,y,(1 / z) \ (T(y,u) \ 1)) = L(x,y \ (K(y \ 1,u) / z),y). a(x * (a(x,y,z) \ u),w,K(v5,L(x,z,y))) = a(w,T(1 / u,L(x,y,z)),K(x * (a(x,y,z) \ u),v5)). a(x,T(1 / y,L(z,u,w)),K(z * (a(z,u,w) \ y),v5)) = a(z * (a(z,u,w) \ y),x,K(v5,L(z,w,u))). x != a(y,z,K(u,L(w,v5,v6))) | a(y,z,K(u,w)) = x. a(x * (a(x,y,z) \ u),w,K(v5,x)) = a(w,T(1 / u,L(x,y,z)),K(x * (a(x,y,z) \ u),v5)). a(x,T(1 / y,L(z,u,w)),K(z * (a(z,u,w) \ y),v5)) = a(z * (a(z,u,w) \ y),x,K(v5,z)). a(x,T(1 / y,L(z,u,w)),K(z * (a(z,u,w) \ y),v5)) = a(z * (a(z,u,w) \ y),x,K(z,v5)). x != a(y * z,u,K(y,w)) | a(u,z,K(y,w)) = x. a(x,a(y,z,u) \ w,K(y,v5)) = a(x,T(1 / w,L(y,z,u)),K(y * (a(y,z,u) \ w),v5)). a(x,T(1 / y,L(z,u,w)),K(z * (a(z,u,w) \ y),v5)) = a(x,a(z,u,w) \ y,K(z,v5)). x != L(y,(z \ ((z * u) \ 1)) * w,v5) | L(y,(z * (u * z)) \ w,v5) = x. L(x,(y * (z * y)) \ u,(y * (z * y)) \ u) = L(x,((y * z) \ 1) * (y \ u),((y * z) \ 1) * (y \ u)). L(x,((y * z) \ 1) * (y \ u),((y * z) \ 1) * (y \ u)) = L(x,(y * (z * y)) \ u,(y * (z * y)) \ u). x != L(y,(z * u) \ w,(z * u) \ w) | L(y,u * (w \ z),u * (w \ z)) = x. L(x,(y * z) * (u \ z),(y * z) * (u \ z)) = L(x,((z * y) \ 1) * (z \ u),((z * y) \ 1) * (z \ u)). L(x,((y * z) \ 1) * (y \ u),((y * z) \ 1) * (y \ u)) = L(x,(z * y) * (u \ y),(z * y) * (u \ y)). L(x,y * (z * (u \ y)),y * (z * (u \ y))) = L(x,((y * z) \ 1) * (y \ u),((y * z) \ 1) * (y \ u)). L(x,((y * z) \ 1) * (y \ u),((y * z) \ 1) * (y \ u)) = L(x,y * (z * (u \ y)),y * (z * (u \ y))). L(x,(y * z) \ (y \ u),(y * z) \ (y \ u)) = L(x,y * (z * (u \ y)),y * (z * (u \ y))). L(x,y \ (z \ u),y \ (z \ u)) != w | L(x,z * (u \ y),z * (u \ y)) = w. L(x,y * (z \ (y * u)),y * (z \ (y * u))) = L(x,y * (u * (z \ y)),y * (u * (z \ y))). L(x,y * (y * (z \ u)),y * (y * (z \ u))) = L(x,y * (u * (z \ y)),y * (u * (z \ y))). L(x,y * (z * (u \ y)),y * (z * (u \ y))) = L(x,y * (y * (u \ z)),y * (y * (u \ z))). x != L(y,z * (z * u),z * (z * u)) | L(y,z * (u * z),z * (u * z)) = x. L(x,y * ((z \ u) * y),y * ((z \ u) * y)) = L(x,y * (u * (z \ y)),y * (u * (z \ y))). (L(x,y * (x * (z \ y)),y * (x * (z \ y))) \ 1) \ (y * y) = y * (y * L(x,z,z)). (T(x,y * ((z \ y) * (x \ (y * (z \ y))))) \ 1) \ (y * y) = y * (y * L(x,z,z)). (1 / L(x,y * (z \ y),y * (z \ y))) \ (y * y) = y * (y * L(x,z,z)). L(x,y * (z \ y),y * (z \ y)) * (y * y) = y * (y * L(x,z,z)). L(x,y,y) = L(x,z * (y \ z),z * (y \ z)). L(x,y * (z \ y),y * (z \ y)) = L(x,z,z). L(x,K(y,z) * u,K(y,z) * u) != w | L(x,u,u) = w. L(x,y \ K(z,u),y \ K(z,u)) = L(x,y,y). L(x,y * ((z * u) \ z),y * ((w * u) \ w)) != v5 | L(x,u \ y,u \ y) = v5. L(x,y \ z,y \ z) = L(x,z * y,z * y). L(T(x,y * (y / z)),y * (z \ y),y * (z \ y)) != u | T(x,1 / ((y * y) / z)) = u. T(x,1 / ((y * y) / z)) = L(T(x,y * (y / z)),z,z). L(T(x,y * (y / z)),z,z) = T(x,1 / ((y * y) / z)). x \ ((y * (y * L(z,x,x))) / x) = (x \ z) / (y \ (y \ x)). L(x,y,y) * (K(z,u) * y) = x / (y \ K(z,u)). ((x \ T(y,z)) \ 1) \ 1 = L(x \ T(y,z),x * y,x * y). L(x \ T(y,z),x * y,x * y) = ((x \ T(y,z)) \ 1) \ 1. T(x,y * (z \ (y / z))) = L(x,y * z,y * z). L(x,y,y) = L(x,z * (z * y),z * (z * y)). L(x,y * (y * z),y * (y * z)) = L(x,z,z). L((x \ T(y,x)) \ 1,y \ x,y \ x) != z | T(y \ x,y / ((x * y) \ 1)) = z. T(x \ y,x / ((y * x) \ 1)) = L((y \ T(x,y)) \ 1,y * x,y * x). L((x \ T(y,x)) \ 1,x * y,x * y) = T(y \ x,y / ((x * y) \ 1)). L(x * (y * x),x * (x * y),x * (x * y)) != z | ((x * y) \ 1) \ x = z. ((x * y) \ 1) \ x = L(x * (y * x),y,y). L(x * (y * x),y,y) = ((x * y) \ 1) \ x. (x \ 1) \ (y * T(y,x)) = ((y * x) \ 1) \ y. (((x * y) \ 1) \ x) * y = y * (x / (1 / (y * x))). L(x,y,y) * (K(z,z \ 1) * y) != u | T((y * K(z,z \ 1)) * x,y * K(z,z \ 1)) = u. T((x * K(y,y \ 1)) * z,x * K(y,y \ 1)) = z / (x \ K(y,y \ 1)). x != (y \ 1) * ((1 / z) / u) | ((z \ (u \ 1)) \ y) \ 1 = x. ((x \ ((1 / ((y \ 1) * (1 / x))) \ 1)) \ y) \ 1 = ((((1 / x) * (y \ 1)) \ 1) \ (1 / x)) * (y \ 1). (x * x) * T(((y * x) \ 1) \ y,x \ 1) = x * (x * (y / (1 / (x * y)))). x != T(y,z / (u / w)) | T(y,z * (w / u)) = x. T(x,1 * (y / (z * z))) = L(T(x,z * (z / y)),y,y). L(T(x,y * (y / z)),z,z) = T(x,1 * (z / (y * y))). L(T(x,y * (y / z)),z,z) = T(x,1 * (y \ (y \ z))). L(T(x,y * (y / z)),z,z) = T(x,y \ (y \ z)). L(T(x,y * (y / (z * K(y,u)))),z * K(y,u),z * K(y,u)) = T(x,y \ ((y \ z) * K(y,u))). L(T(x,(a(y,z,u) / w) * a(y,z,u)),w,w) = T(x,a(y,z,u) \ (a(y,z,u) \ w)). x \ ((y * (z * z)) * (1 / x)) = (x \ y) / (z \ (z \ x)). x \ ((y * (y * z)) * (1 / x)) = (x \ z) / (y \ (y \ x)). (x \ (y * (y * z))) / x = (x \ z) / (y \ (y \ x)). (x \ (y * (y * (x * z)))) / x != u | L(z,x,x) * ((y * y) / x) = u. L(x,y,y) * ((z * z) / y) = (y \ (y * x)) / (z \ (z \ y)). (x \ (x * y)) / (z \ (z \ x)) = L(y,x,x) * ((z * z) / x). x / (y \ (y \ z)) = L(x,z,z) * ((y * y) / z). L(x,y,y) * ((z * z) / y) = x / (z \ (z \ y)). (x / (y \ (y \ z))) * L(z,u,u) = L(z,u,u) \ (y * (y * (z * x))). L(x,y,y) \ (z * (z * (x * u))) = (u / (z \ (z \ x))) * L(x,y,y). L(x,y,y) \ (z * (z * (x * u))) != w | x \ ((L(x,y,y) * u) * (z * z)) = w. x \ ((L(x,y,y) * z) * (u * u)) = (z / (u \ (u \ x))) * L(x,y,y). x \ (y * (y * (L(x,z,z) * u))) = (u / (y \ (y \ x))) * L(x,z,z). (x * ((y * y) / L(z,u,u))) / (1 / L(z,u,u)) = a(z,u,u) * ((x / (y \ (y \ z))) * L(z,u,u)). L(x \ T(y,x),x * y,x * y) \ 1 = T(y \ x,y / ((x * y) \ 1)). (((x \ T(y,x)) \ 1) \ 1) \ 1 = T(y \ x,y / ((x * y) \ 1)). T(x \ y,x / ((y * x) \ 1)) = (((y \ T(x,y)) \ 1) \ 1) \ 1. x != ((y \ z) \ z) \ z | z / y = x. 1 / (x \ T(y,x)) = T(y \ x,y / ((x * y) \ 1)). T(x \ y,x / ((y * x) \ 1)) = 1 / (y \ T(x,y)). T(x \ y,x * (y * x)) = 1 / (y \ T(x,y)). T(x \ y,x * (y * x)) != z | T(x \ y,x * (x * y)) = z. T(x \ y,x * (x * y)) = 1 / (y \ T(x,y)). T(x,(y * ((y \ 1) \ z)) * (u \ (1 / (z \ T(y,z))))) = T(x,z * (z * (T(u,y * (y * z)) \ y))). T((x * K(y,y \ 1)) * z,x * K(y,y \ 1)) = z / (((y * x) \ 1) * y). (x * x) * ((y * x) * y) = x * (x * (y / (1 / (x * y)))). x * (x * (y / (1 / (x * y)))) = (x * x) * ((y * x) * y). x * (x * (y / (1 / (x * y)))) != z | (y * (x * (y * x))) * x = z. (x * (y * (x * y))) * y = (y * y) * ((x * y) * x). x \ y != (z * (u * (z * u))) * u | x * ((u * u) * ((z * u) * z)) = y. (1 / x) * ((x * x) * ((y * x) * y)) = T(y * (x * (y * x)),x \ 1). (1 / x) * ((x * x) * y) != z | ((x \ 1) \ 1) * y = z. ((x \ 1) \ 1) * ((y * x) * y) = T(y * (x * (y * x)),x \ 1). T(x * (y * (x * y)),y \ 1) = ((y \ 1) \ 1) * ((x * y) * x). T(x * (y * (x * y)),y \ 1) != z | y * (x / (1 / (y * x))) = z. x * (y / (1 / (x * y))) = ((x \ 1) \ 1) * ((y * x) * y). ((x \ 1) \ 1) * ((y * x) * y) = x * (y / (1 / (x * y))). ((x \ ((1 / ((y \ 1) * (1 / x))) \ 1)) \ y) \ 1 = (((y \ 1) \ 1) \ 1) * (((1 / x) * (y \ 1)) * (1 / x)). (((x \ 1) \ 1) \ 1) * (((1 / y) * (x \ 1)) * (1 / y)) = ((y \ ((1 / ((x \ 1) * (1 / y))) \ 1)) \ x) \ 1. T(x * (y * K(z,z \ 1)),x * K(z,z \ 1)) = y / (((z * x) \ 1) * z). T(x,y * K(z,z \ 1)) != u | T(x,y) = u. T(x * (y * K(z,z \ 1)),x) = y / (((z * x) \ 1) * z). (x * K(y,y \ 1)) / (z \ 1) = x / (((y * z) \ 1) * y). (x * K(y,y \ 1)) / z != u | K(y,y \ 1) * (x / z) = u. K(x,x \ 1) * (y / (z \ 1)) = y / (((x * z) \ 1) * x). (x / (y \ 1)) * K(z,z \ 1) = x / (((z * y) \ 1) * z). (x / (((y / z) \ 1) \ 1)) * K(z * z,(z * z) \ 1) = x / ((((z * (y \ z)) * z) \ 1) * (z * z)). L(T(x,y * (T(y,z) / u)),u * K(y,z),u * K(y,z)) = T(x,y \ ((y \ u) * K(y,z))). L(x,y * K(z,u),y * K(z,u)) != w | L(x,y,y) = w. L(T(x,y * (T(y,z) / u)),u,u) = T(x,y \ ((y \ u) * K(y,z))). T(x,y \ ((y \ z) * K(y,u))) = L(T(x,y * (T(y,u) / z)),z,z). T(x,y \ ((z \ u) * K(z,w))) != v5 | T(x,y \ (T(z,w) \ u)) = v5. T(x,y \ (T(y,z) \ u)) = L(T(x,y * (T(y,z) / u)),u,u). L(T(x,y * (T(y,z) / u)),u,u) = T(x,y \ (T(y,z) \ u)). ((x \ ((1 / ((y \ 1) * (1 / x))) \ 1)) \ y) \ 1 = ((1 / x) * ((1 / y) * (1 / x))) * (y \ 1). ((x \ ((1 / ((y \ 1) * (1 / x))) \ 1)) \ y) \ 1 = (x \ ((1 / y) / x)) * (y \ 1). ((x \ ((y \ 1) * (1 / x))) \ y) \ 1 = (x \ ((1 / y) / x)) * (y \ 1). ((x \ (((x \ 1) \ y) \ 1)) \ y) \ 1 = (x \ ((1 / y) / x)) * (y \ 1). (((x \ (y \ 1)) / x) \ y) \ 1 = (x \ ((1 / y) / x)) * (y \ 1). (((x * y) \ (1 / y)) \ x) \ 1 = (y \ ((1 / x) / y)) * (x \ 1). ((x \ (y \ 1)) \ z) \ 1 != u | (z \ 1) * ((1 / x) / y) = u. (x \ 1) * ((1 / y) / ((y \ 1) \ x)) = (y \ ((1 / x) / y)) * (x \ 1). (x \ 1) * ((y \ (1 / x)) / y) = (y \ ((1 / x) / y)) * (x \ 1). (x \ ((1 / y) / x)) * (y \ 1) = (y \ 1) * ((x \ (1 / y)) / x). (x \ ((1 / y) / x)) * (y \ 1) != z | (((y * x) \ (1 / x)) \ y) \ 1 = z. (((x * y) \ (1 / y)) \ x) \ 1 = (x \ 1) * ((y \ (1 / x)) / y). x != a(y,z,z) * (u * L(y,w,v5)) | u * L(L(y,w,v5),z,z) = x. (x / (y \ (y \ z))) * L(L(z,u,u),u,u) = (x * ((y * y) / L(z,u,u))) / (1 / L(z,u,u)). (x * ((y * y) / L(z,u,u))) / (1 / L(z,u,u)) = (x / (y \ (y \ z))) * L(L(z,u,u),u,u). (x * ((y * y) / L(z,u,u))) / (1 / L(z,u,u)) = (x / (y \ (y \ z))) * z. (x * (y / L(z,u,u))) / (1 / L(z,u,u)) != w | (x * (y / z)) / (1 / z) = w. (x * ((y * y) / z)) / (1 / z) = (x / (y \ (y \ z))) * z. (x * ((y * y) / z)) / (1 / z) != u | z \ (y * (y * (z * x))) = u. x \ (y * (y * (x * z))) = (z / (y \ (y \ x))) * x. T(x,y * (z \ (1 / (u \ w)))) != v5 | T(x,y * (z \ (w \ u))) = v5. T(x,(y * ((y \ 1) \ z)) * (u \ (T(y,z) \ z))) = T(x,z * (z * (T(u,y * (y * z)) \ y))). T(x,y * (z \ (T(u,w) \ w))) != v5 | T(x,y * (z \ (w / u))) = v5. T(x,(y * ((y \ 1) \ z)) * (u \ (z / y))) = T(x,z * (z * (T(u,y * (y * z)) \ y))). T(x,(y * ((z \ 1) \ u)) * w) != v5 | T(x,(y * (z * u)) * w) = v5. T(x,(y * (y * z)) * (u \ (z / y))) = T(x,z * (z * (T(u,y * (y * z)) \ y))). T(x,y * (y * (T(z,u * (u * y)) \ u))) = T(x,(u * (u * y)) * (z \ (y / u))). T(x,y * (y * (z * (u \ (z / y))))) = T(x,z * (z * (T(u,y * (y * z)) \ y))). T(x,y * (y * (T(z,u * (u * y)) \ u))) = T(x,u * (u * (y * (z \ (y / u))))). x != T(y,z * (z * (u * (w \ (u / z))))) | T(y,u * (w \ (u * z))) = x. T(x,y * (z \ (y * u))) = T(x,y * (y * (T(z,u * (u * y)) \ u))). T(x,y * (y * (T(z,u * (u * y)) \ u))) = T(x,y * (z \ (y * u))). (((x / y) * (1 / z)) \ 1) * K(y * y,(y * y) \ 1) = z / ((((y * (x \ y)) * y) \ 1) * (y * y)). (((x / y) * (1 / z)) \ 1) * a(y,y,y * y) = z / ((((y * (x \ y)) * y) \ 1) * (y * y)). (((x / y) * (1 / z)) \ 1) * 1 = z / ((((y * (x \ y)) * y) \ 1) * (y * y)). x / ((((y * (z \ y)) * y) \ 1) * (y * y)) = (((z / y) * (1 / x)) \ 1) * 1. ((x / y) * (1 / z)) \ 1 = z / ((((y * (x \ y)) * y) \ 1) * (y * y)). x / ((((y * (z \ y)) * y) \ 1) * (y * y)) = ((z / y) * (1 / x)) \ 1. x / ((y \ ((z \ y) \ (y \ 1))) * (y * y)) = ((z / y) * (1 / x)) \ 1. x / (y * (y * (y \ ((z \ y) \ (y \ 1))))) = ((z / y) * (1 / x)) \ 1. x / (y * ((z \ y) \ (y \ 1))) = ((z / y) * (1 / x)) \ 1. x / (y \ ((z \ y) \ y)) = ((z / y) * (1 / x)) \ 1. ((x / y) * (1 / z)) \ 1 = z / (y \ ((x \ y) \ y)). a(x,y,z * (((u / w) * (1 / T(v5,v5 \ (w \ ((u \ w) \ w))))) \ 1)) = a(x,y,z * ((w \ ((u \ w) \ w)) \ v5)). (1 / x) * (((1 / y) * (x \ 1)) * (1 / y)) = ((y \ ((1 / ((x \ 1) * (1 / y))) \ 1)) \ x) \ 1. ((x \ ((1 / ((y \ 1) * (1 / x))) \ 1)) \ y) \ 1 = (1 / y) * (((1 / x) * (y \ 1)) * (1 / x)). ((x \ ((1 / ((y \ 1) * (1 / x))) \ 1)) \ y) \ 1 = (1 / y) * ((x \ (y \ 1)) / x). ((x \ ((1 / ((y \ 1) * (1 / x))) \ 1)) \ y) \ 1 = (1 / y) * ((y * x) \ (1 / x)). ((x \ ((y \ 1) * (1 / x))) \ y) \ 1 = (1 / y) * ((y * x) \ (1 / x)). (((x \ (y \ 1)) / x) \ y) \ 1 = (1 / y) * ((y * x) \ (1 / x)). (((x * y) \ (1 / y)) \ x) \ 1 = (1 / x) * ((x * y) \ (1 / y)). (((x * y) \ (1 / y)) \ x) \ 1 != z | (x \ 1) * ((y \ (1 / x)) / y) = z. (x \ 1) * ((y \ (1 / x)) / y) = (1 / x) * ((x * y) \ (1 / y)). (1 / x) * ((x * y) \ (1 / y)) = (x \ 1) * ((y \ (1 / x)) / y). x != (y \ 1) * ((z \ (1 / y)) / z) | y \ ((y * z) \ (1 / z)) = x. x \ ((x * y) \ (1 / y)) = (1 / x) * ((x * y) \ (1 / y)). (1 / x) * ((x * y) \ (1 / y)) = x \ ((x * y) \ (1 / y)). ((1 / x) * (x \ ((x * y) \ (1 / y)))) * x = x \ ((1 / x) * (((y \ (1 / x)) / y) * x)). x \ ((1 / x) * (((y \ (1 / x)) / y) * x)) = ((1 / x) * (x \ ((x * y) \ (1 / y)))) * x. x \ ((1 / x) * (((y \ (1 / x)) / y) * x)) = ((x * x) \ ((x * y) \ (1 / y))) * x. x \ ((1 / x) * (((y \ (1 / x)) / y) * x)) = (x \ (x \ ((y \ (1 / x)) / y))) * x. x != (y \ z) * y | y * (z / y) = x. x * ((x \ ((y \ (1 / x)) / y)) / x) = x \ ((1 / x) * (((y \ (1 / x)) / y) * x)). x \ ((1 / x) * (((y \ (1 / x)) / y) * x)) = x * ((x \ ((y \ (1 / x)) / y)) / x). x \ ((1 / x) * (((y \ (1 / x)) / y) * x)) = x * (x \ (x \ (y \ ((1 / x) / y)))). x \ (y \ ((1 / x) / y)) = x \ ((1 / x) * (((y \ (1 / x)) / y) * x)). x \ ((1 / x) * (((y \ (1 / x)) / y) * x)) = x \ (y \ ((1 / x) / y)). x \ ((1 / x) * (x * (y \ ((x \ 1) / y)))) = x \ (y \ ((1 / x) / y)). x \ L(y \ ((x \ 1) / y),x,x) = x \ (y \ ((1 / x) / y)). (x \ 1) * (y \ ((x \ 1) / y)) = x \ (y \ ((1 / x) / y)). T(x,(y * (z * z)) * (z \ (u \ ((1 / z) / u)))) = T(x,y * (T(z,z \ 1) * (u \ ((z \ 1) / u)))). T(x,y * (z \ (u \ ((1 / w) / v5)))) != v6 | T(x,y / (((v5 * w) * u) * z)) = v6. T(x,(y * (z * z)) / (((u * z) * u) * z)) = T(x,y * (T(z,z \ 1) * (u \ ((z \ 1) / u)))). T(x,(y * (z * z)) / (z * (u * (z * u)))) = T(x,y * (T(z,z \ 1) * (u \ ((z \ 1) / u)))). T(x,y / (z * (u * (z * u)))) != w | T(x,z \ (u \ (z \ (u \ y)))) = w. T(x,y \ (z \ (y \ (z \ (u * (y * y)))))) = T(x,u * (T(y,y \ 1) * (z \ ((y \ 1) / z)))). x != T(y,z * (u * (w \ ((v5 \ 1) / v6)))) | T(y,z * (u / ((v6 * v5) * w))) = x. T(x,y * (T(z,z \ 1) / ((u * z) * u))) = T(x,z \ (u \ (z \ (u \ (y * (z * z)))))). T(x,y \ (z \ (y \ (z \ (u * (y * y)))))) = T(x,u * (T(y,y \ 1) / ((z * y) * z))). x != T(y,z * (u / ((w * v5) * w))) | T(y,z * (u / (w * (v5 * w)))) = x. T(x,y * (T(z,z \ 1) / (u * (z * u)))) = T(x,z \ (u \ (z \ (u \ (y * (z * z)))))). T(x,y \ (z \ (y \ (z \ (u * (y * y)))))) = T(x,u * (T(y,y \ 1) / (z * (y * z)))). x != T(y,z * (T(u,u \ w) / v5)) | T(y,z * (T(u,w) / v5)) = x. T(x,y * (T(z,1) / (u * (z * u)))) = T(x,z \ (u \ (z \ (u \ (y * (z * z)))))). T(x,y \ (z \ (y \ (z \ (u * (y * y)))))) = T(x,u * (T(y,1) / (z * (y * z)))). T(x,y \ (z \ (y \ (z \ (u * (y * y)))))) = T(x,u * (y / (z * (y * z)))). T(x,y \ (z \ (y \ (z \ (u * (y * y)))))) = T(x,u * (((z * y) * z) \ y)). T(x,y * ((z * (u * z)) \ u)) = T(x,u \ (z \ (u \ (z \ (y * (u * u)))))). T(x,y \ (z \ (y \ (z \ (u * (y * y)))))) = T(x,u * ((z * (y * z)) \ y)). x != T(y,z * ((u * (w * u)) \ w)) | T(y,u \ (T(u,w) \ z)) = x. T(x,y \ (T(y,z) \ u)) = T(x,z \ (y \ (z \ (y \ (u * (z * z)))))). T(x,y \ (z \ (y \ (z \ (u * (y * y)))))) = T(x,z \ (T(z,y) \ u)). T(x,y \ (z \ (y \ (z \ (y * (y * u)))))) = T(x,z \ (T(z,y) \ u)). a(x,y,z * (((u / w) * (1 / T(v5,v5 \ (w \ ((w \ u) * w))))) \ 1)) = a(x,y,z * ((w \ ((u \ w) \ w)) \ v5)). a(x,y,z * (((u / w) * (1 / T(v5,v5 \ (w \ (w * (u / w)))))) \ 1)) = a(x,y,z * ((w \ ((u \ w) \ w)) \ v5)). a(x,y,z * (((u / w) * (1 / T(v5,v5 \ (u / w)))) \ 1)) = a(x,y,z * ((w \ ((u \ w) \ w)) \ v5)). a(x,y,z * ((u \ ((w \ u) \ u)) \ v5)) = a(x,y,z * (((w / u) * (1 / T(v5,v5 \ (w / u)))) \ 1)). a(x,y,z * ((u \ ((w \ u) \ u)) \ v5)) = a(x,y,z * (((w / u) * T(v5 \ 1,w / u)) \ 1)). a(x,y,z * ((u \ ((w \ u) \ u)) \ v5)) = a(x,y,z * (((v5 \ 1) * (w / u)) \ 1)). x != a(y,z,u * (w \ 1)) | a(y,z,u / w) = x. a(x,y,z / ((u \ 1) * (w / v5))) = a(x,y,z * ((v5 \ ((w \ v5) \ v5)) \ u)). a(x,y,z * ((u \ ((w \ u) \ u)) \ v5)) = a(x,y,z / ((v5 \ 1) * (w / u))). x != a(y,z,u / ((w \ v5) * v6)) | a(y,z,u * (v6 \ (v5 \ w))) = x. a(x,y,z * ((u / w) \ (1 \ v5))) = a(x,y,z * ((w \ ((u \ w) \ w)) \ v5)). a(x,y,z * ((u \ ((w \ u) \ u)) \ v5)) = a(x,y,z * ((w / u) \ (1 \ v5))). a(x,y,z * ((u \ ((w \ u) \ u)) \ v5)) = a(x,y,z * ((w / u) \ v5)). a(x,y,z * ((((u \ w) \ w) \ w) * v5)) = a(x,y,z * ((u / w) \ v5)). a(x,y,z * ((u / w) * v5)) = a(x,y,z * ((w / u) \ v5)). a(x,y,z * ((u / w) \ v5)) = a(x,y,z * ((w / u) * v5)). x \ y != a(z,u,w * ((v5 / v6) \ v7)) | x * a(z,u,w * ((v6 / v5) * v7)) = y. x * a(x,y,z * ((u / w) * v5)) = R(x,y,z * ((w / u) \ v5)). R(x,y,z * ((u / w) * v5)) = R(x,y,z * ((w / u) \ v5)). R(x,y,z * ((u / w) \ v5)) = R(x,y,z * ((w / u) * v5)). R(x,y,z * ((1 / u) \ w)) != v5 | R(x,y,z * (u / (w \ 1))) = v5. R(x,y,z * (u / (w \ 1))) = R(x,y,z * ((u / 1) * w)). R(x,y,z * ((1 / u) \ (1 / w))) != v5 | R(x,y,z / L(w / u,w,w)) = v5. R(x,y,z / L(u / w,u,u)) = R(x,y,z * ((w / 1) * (1 / u))). R(x,y,z * (u / (w \ 1))) = R(x,y,z * (u * w)). R(x,y,z * (u / w)) = R(x,y,z * (u * (1 / w))). R(x,y,z * (u * (1 / w))) = R(x,y,z * (u / w)). R(x,y,z / L(u / w,u,u)) = R(x,y,z * (w * (1 / u))). R(x,y,z / L(u,w,w)) != v5 | R(x,y,z / u) = v5. R(x,y,z / (u / w)) = R(x,y,z * (w * (1 / u))). R(x,y,z * (u * (1 / w))) = R(x,y,z / (w / u)). R(x,y,z * (u * (1 / w))) != v5 | R(x,y,z * (u / w)) = v5. R(x,y,z * (u / w)) = R(x,y,z / (w / u)). R(x,y,z / (u / w)) = R(x,y,z * (w / u)). ((x / y) * (y * (1 / z))) / ((y \ 1) * (1 / (z / y))) = L(R(x,y \ 1,1 * (y / z)),y,y). ((x / y) * (y * (1 / z))) / ((y \ 1) * (1 / (z / y))) = L(R(x,y \ 1,y / z),y,y). ((x / y) * (y * (1 / z))) / ((y \ 1) * (1 / (z / y))) = L(L(x,y * z,y \ 1),y,y). ((x / y) * (y * (1 / z))) / (1 / L(z,y,y)) = L(L(x,y * z,y \ 1),y,y). (x * (y * (1 / z))) / (1 / L(z,u,u)) != w | z \ ((L(z,u,u) * x) * y) = w. x \ ((L(x,y,y) * (z / y)) * y) = L(L(z,y * x,y \ 1),y,y). x \ (y \ ((y * x) * z)) = L(L(z,y * x,y \ 1),y,y). L(L(x,y * z,y \ 1),y,y) = z \ (y \ ((y * z) * x)). L(x,y,z \ 1) != u | L(x,y,z \ K(y,z)) = u. L(L(x,(y \ 1) * z,(y \ 1) \ 1),y \ 1,y \ K(y \ 1,y)) = z \ ((y \ 1) \ (((y \ 1) * z) * x)). L(L(x * x,y,z),u,u) != w | L(x * x,y,z) = w. L(x * x,y * z,y \ 1) = z \ (y \ ((y * z) * (x * x))). x \ (y \ ((y * x) * (z * z))) = L(z * z,y * x,y \ 1). L(L(x,y * z,(z * z) \ 1),z * z,z * z) = (y / z) \ ((z * z) \ (((z * z) * (y / z)) * x)). L(L(L(x,y * z,z \ 1),z * (y / z),z \ 1),z,z) = (y / z) \ (z \ ((z \ 1) * ((y * z) * x))). x \ (y \ (z * (z * (y * x)))) = L(z * z,y * x,y \ 1). x \ ((x / (y \ (y \ z))) * z) = L(y * y,z * x,z \ 1). L(L(x,y * z,z \ (z \ 1)),z * z,z * z) = (y / z) \ ((z * z) \ (((z * z) * (y / z)) * x)). L(x,y * z,z \ (z \ 1)) = (y / z) \ ((z * z) \ (((z * z) * (y / z)) * x)). (x / y) \ ((y * y) \ (((y * y) * (x / y)) * z)) = L(z,x * y,y \ (y \ 1)). (x / y) \ ((y * y) \ ((x * y) * z)) = L(z,x * y,y \ (y \ 1)). L(L(L(x,y * z,z \ 1),y,T(z \ 1,z)),z,z) = (y / z) \ (z \ ((z \ 1) * ((y * z) * x))). L(L(L(x,y * z,z \ 1),y,1 / z),z,z) = (y / z) \ (z \ ((z \ 1) * ((y * z) * x))). L(L(L(x,y * z,z \ 1),y,z \ 1),z,z) = (y / z) \ (z \ ((z \ 1) * ((y * z) * x))). L(L(L(x,y * z,z \ 1),y,z \ 1),z,z) = (y / z) \ ((z * z) \ ((y * z) * x)). x != (y / z) \ ((z * z) \ ((y * z) * u)) | L(u,y * z,z \ (z \ 1)) = x. L(x,y * z,z \ (z \ 1)) = L(L(L(x,y * z,z \ 1),y,z \ 1),z,z). L(L(L(x,y * z,z \ 1),y,z \ 1),z,z) = L(x,y * z,z \ (z \ 1)). L(L(x,(y \ 1) * z,y),y \ 1,y \ K(y \ 1,y)) = z \ ((y \ 1) \ (((y \ 1) * z) * x)). L(L(x,y \ z,y),y \ 1,y \ K(y \ 1,y)) = z \ ((y \ 1) \ (((y \ 1) * z) * x)). L(x,y,z \ K(y,z)) != u | L(x,y,z \ 1) = u. L(L(x,y \ z,y),y \ 1,y \ 1) = z \ ((y \ 1) \ (((y \ 1) * z) * x)). L(L(x,y \ z,y),y,y) = z \ ((y \ 1) \ (((y \ 1) * z) * x)). L(L(x,y \ z,y),y,y) = z \ ((z * (x * y)) / y). L(L(x,y,z / y),z / y,z / y) = z \ ((z * (x * (z / y))) / (z / y)). L(L(x,T(y,z * x) \ z,T(y,z * x)),T(y,z * x),T(y,z * x)) = z \ ((L(y,x,z) * (z * x)) / T(y,z * x)). L(L(x,y,y \ z),z / y,z / y) = z \ ((z * (x * (z / y))) / (z / y)). L(L(x,y,y \ z),y \ z,y \ z) = z \ ((z * (x * (z / y))) / (z / y)). L(x,y \ z,y \ z) != u | L(x,z * y,z * y) = u. L(L(x,y,y \ z),z * y,z * y) = z \ ((z * (x * (z / y))) / (z / y)). L(L(x,y,y \ z),z * y,z * y) = z \ ((y / z) \ (((y / z) * z) * x)). L(L(x,y,y \ z),z * y,z * y) = z \ ((y / z) \ (y * x)). L(L(x,T(y,z * x) \ z,T(y,z)),T(y,z * x),T(y,z * x)) = z \ ((L(y,x,z) * (z * x)) / T(y,z * x)). L(L(x,y / T(z,y * x),z),T(z,y * x),T(z,y * x)) = y \ ((L(z,x,y) * (y * x)) / T(z,y * x)). T(T(x,K(y,z * u)),(u * (u * y)) * (u * (z / (u * (u * y))))) = T(x,(u * (u * y)) * (((u * u) \ (y \ u)) * z)). T(T(x,K(y,z * u)),u * (((u * y) * u) * (z / (u * (u * y))))) = T(x,(u * (u * y)) * (((u * u) \ (y \ u)) * z)). T(x,y * ((z * y) * (u / (y * z)))) != w | T(x,T(u * y,z)) = w. T(T(x,K(y,z * u)),T(z * u,u * y)) = T(x,(u * (u * y)) * (((u * u) \ (y \ u)) * z)). T(T(x,K(y,z)),T(z,u)) != w | T(x,T(T(z,u),y)) = w. T(x,T(T(y * z,z * u),u)) = T(x,(z * (z * u)) * (((z * z) \ (u \ z)) * y)). T(x,(y * (y * z)) * (((y * y) \ (z \ y)) * u)) = T(x,T(T(u * y,y * z),z)). T(x,(y * (y * z)) * (((y * y) \ (z \ y)) * u)) = T(x,T(T(u * y,z),y * z)). T(x,y * (((z * z) \ u) * w)) != v5 | T(x,y * ((z \ (z \ u)) * w)) = v5. T(x,(y * (y * z)) * ((y \ (y \ (z \ y))) * u)) = T(x,T(T(u * y,z),y * z)). T(x,(y * (y * z)) * ((z \ (y \ 1)) * u)) = T(x,T(T(u * y,z),y * z)). T(x,(y * (y * z)) * ((y * z) \ u)) = T(x,T(T(u * y,z),y * z)). T(x,(y * z) * (z \ u)) != w | T(x,z * ((z \ y) * u)) = w. T(x,(y * z) * (((y * z) \ y) * u)) = T(x,T(T(u * y,z),y * z)). T(x,y * (((z * u) \ z) * w)) != v5 | T(x,y * (u \ w)) = v5. T(x,(y * z) * (z \ u)) = T(x,T(T(u * y,z),y * z)). T(x,T(T(y * z,u),z * u)) = T(x,(z * u) * (u \ y)). T(x,y * ((y \ z) * u)) = T(x,T(T(u * z,y),z * y)). T(x,T(T(y * z,u),z * u)) = T(x,u * ((u \ z) * y)). T(x,T(T(y * z,u),u * z)) = T(x,u * ((u \ z) * y)). x != T(y,T(z \ u,w) * v5) | T(y,T(u \ z,w) \ v5) = x. T(x,T(y \ z,u) \ ((T(z \ y,u) \ w) * v5)) = T(x,T(T(v5 * w,T(z \ y,u)),T(z \ y,u) * w)). T(x,T(T(y * z,T(u \ w,v5)),T(u \ w,v5) * z)) = T(x,T(w \ u,v5) \ ((T(u \ w,v5) \ z) * y)). T(x,T(y * (T(z,u) / y),u * (z / y))) = T(x,u * ((u \ (z / y)) * y)). T(x,T(T((y \ z) * (u / (y \ z)),w),w * (u * (1 / (z \ y))))) = T(x,w * ((w \ (u * (1 / (z \ y)))) * (z \ y))). T(x,T(T(y * (z * ((u * w) * w)),v5),v5 * (z * (u * (w * w))))) = T(x,v5 * ((v5 \ (z * ((u * w) * w))) * y)). T(x,y * (T(T(z,u),u * (z / y)) / y)) = T(x,u * ((u \ (z / y)) * y)). T(x,T(T(T(y,z),z * (y / u)),u)) = T(x,z * ((z \ (y / u)) * u)). T(x,T(T(T(y,z),u),z * (y / u))) = T(x,z * ((z \ (y / u)) * u)). T(x,T(y,z * (u / w))) != v5 | T(x,T(y,z * (u * w))) = v5. T(x,T(T(T(y,z),u),z * (y * u))) = T(x,z * ((z \ (y / u)) * u)). T(x,L(y,z,u)) = T(x,T(T(T(y,z),u),z * (y * u))). T(x,T(T(T(y,z),u),z * (y * u))) = T(x,L(y,z,u)). T(x,T(y,T(z,u) * w)) != v5 | T(x,T(y,w * z)) = v5. T(x,T(T(y * z,T(u \ w,v5)),z * (u \ w))) = T(x,T(w \ u,v5) \ ((T(u \ w,v5) \ z) * y)). T(x,T(y,z * (u \ w))) != v5 | T(x,T(y,z * (u * w))) = v5. T(x,T(T(y * z,T(u \ w,v5)),z * (u * w))) = T(x,T(w \ u,v5) \ ((T(u \ w,v5) \ z) * y)). T(x,T(T(y * z,u \ w),z * (u * w))) = T(x,T(w \ u,v5) \ ((T(u \ w,v5) \ z) * y)). T(x,T(T(y,z \ u),w)) != v5 | T(x,T(T(y,z * u),w)) = v5. T(x,T(T(y * z,u * w),z * (u * w))) = T(x,T(w \ u,v5) \ ((T(u \ w,v5) \ z) * y)). T(x,T(T(y * z,u),z * u)) != w | T(x,u * ((u \ z) * y)) = w. T(x,(y * z) * (((y * z) \ u) * w)) = T(x,T(z \ y,v5) \ ((T(y \ z,v5) \ u) * w)). T(x,T(y \ z,u) \ ((T(z \ y,u) \ w) * v5)) = T(x,(z * y) * (((z * y) \ w) * v5)). T(x,T(y \ z,u) * ((T(y \ z,u) \ w) * v5)) = T(x,(y * z) * (((y * z) \ w) * v5)). T(x,T(y,z) * ((T(y,z) \ u) * w)) != v5 | T(x,y * ((y \ u) * w)) = v5. T(x,(y \ z) * (((y \ z) \ u) * w)) = T(x,(y * z) * (((y * z) \ u) * w)). T(x,y * ((y \ z) * (z \ u))) != w | T(x,L(u,y,z)) = w. T(x,L(y,z \ u,w)) = T(x,(z * u) * (((z * u) \ w) * (w \ y))). T(x,(y * z) * (((y * z) \ u) * (u \ w))) = T(x,L(w,y \ z,u)). T(x,L(y,z * u,w)) = T(x,L(y,z \ u,w)). T(x,L(y,z \ u,w)) = T(x,L(y,z * u,w)). T(x,L(y,z,u)) = T(x,L(y,w * (w * z),u)). T(x,L(y,z * (z * u),w)) = T(x,L(y,u,w)). T(x * (x * y),z) = T(x * (x * y),L(z,y,u)). T(x * (x * y),L(z,y,u)) = T(x * (x * y),z). T(x,L(y,z,u)) != w | T(x,L(y,u,z)) = w. T(x * (x * y),L(z,u,y)) = T(x * (x * y),z). T(x,T(T(y * (z * ((u * w) * w)),z),u * (w * w))) = T(x,z * ((z \ (z * ((u * w) * w))) * y)). T(x,T(T(y * (z * ((u * w) * w)),z),u)) = T(x,z * ((z \ (z * ((u * w) * w))) * y)). T(x,T((y * z) * T((u * w) * w,y),u)) = T(x,y * ((y \ (y * ((u * w) * w))) * z)). T(x,T(y * T((z * u) * u,w),z)) != v5 | T(x,u * (u * (T(z,w) * y))) = v5. T(x,y * (y * (T(z,u) * (u * w)))) = T(x,u * ((u \ (u * ((z * y) * y))) * w)). T(x,y * ((y \ (y * ((z * u) * u))) * w)) = T(x,u * (u * (T(z,y) * (y * w)))). T(x,y * (((z * u) * u) * w)) = T(x,u * (u * (T(z,y) * (y * w)))). T(x,y * (y * (T(z,u) * (u * w)))) = T(x,u * (((z * y) * y) * w)). T(x,T((y \ z) * (T(u,w) / (y \ z)),w * (u * (1 / (z \ y))))) = T(x,w * ((w \ (u * (1 / (z \ y)))) * (z \ y))). T(x,T((y \ z) * (T(u,w) / (y \ z)),w * (u * (1 * (y \ z))))) = T(x,w * ((w \ (u * (1 / (z \ y)))) * (z \ y))). T(x,T((y \ z) * (T(u,w) / (y \ z)),w * (u * (y \ z)))) = T(x,w * ((w \ (u * (1 / (z \ y)))) * (z \ y))). T(x,(y \ z) * (T(T(u,w),w * (u * (y \ z))) / (y \ z))) = T(x,w * ((w \ (u * (1 / (z \ y)))) * (z \ y))). T(x,T(T(T(y,z),z * (y * (u \ w))),u \ w)) = T(x,z * ((z \ (y * (1 / (w \ u)))) * (w \ u))). T(x,T(T(T(y,z),u \ w),z * (y * (u \ w)))) = T(x,z * ((z \ (y * (1 / (w \ u)))) * (w \ u))). T(x,T(y,z * (u * (w \ v5)))) != v6 | T(x,T(y,z * (u * (w * v5)))) = v6. T(x,T(T(T(y,z),u \ w),z * (y * (u * w)))) = T(x,z * ((z \ (y * (1 / (w \ u)))) * (w \ u))). T(x,T(T(T(y,z),u * w),z * (y * (u * w)))) = T(x,z * ((z \ (y * (1 / (w \ u)))) * (w \ u))). T(x,T(T(T(y,z),u),z * (y * u))) != w | T(x,L(y,z,u)) = w. T(x,L(y,z,u * w)) = T(x,z * ((z \ (y * (1 / (w \ u)))) * (w \ u))). T(x,y * ((y \ (z * (1 / (u \ w)))) * (u \ w))) = T(x,L(z,y,w * u)). T(x,y * ((z \ (u * (1 / w))) * v5)) != v6 | T(x,y * ((z \ (u / w)) * v5)) = v6. T(x,y * ((y \ (z / (u \ w))) * (u \ w))) = T(x,L(z,y,w * u)). T(x,y * ((y \ (z / u)) * u)) != w | T(x,L(z,y,u)) = w. T(x,L(y,z,u \ w)) = T(x,L(y,z,w * u)). x * y != T(z,L(u,w,v5 \ v6)) | x \ T(z,L(u,w,v6 * v5)) = y. x \ T(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 \ w)) = K(x,L(y,z,w * u)). K(x,L(y,z,u \ w)) != v5 | K(x,L(y,z,w * u)) = v5. K(x,L(y,z,(u \ w) \ u)) = K(x,L(y,z,w)). K(x,L(y,z,L(u,w,v5))) = K(x,L(y,z,(v5 * (w * u)) * (v5 * w))). K(x,L(y,z,(u * (w * v5)) * (u * w))) = K(x,L(y,z,L(v5,w,u))). K(x,L(y,z,T(u,w))) = K(x,L(y,z,(u * w) * w)). K(x,L(y,z,(u * w) * w)) = K(x,L(y,z,T(u,w))). K(x,L(y,z,((u * (w / v5)) * v5) \ v5)) = K(x,L(y,z,((1 / v5) \ u) * w)). K(x,L(y,z,u * w)) * K(x,y) = a(x,w \ u,K(y,z)). K(x,L(y,z,(u \ w) * w)) = K(x,L(y,z,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)). x != K(y,L(z,u,T(w,v5))) | K(y,L(z,u,w)) = x. K(x,L(y,z,u)) = K(x,L(y,z,(u * w) * w)). K(x,L(y,z,(u * w) * w)) = K(x,L(y,z,u)). K(x,L(y,z,u * (u * w))) = K(x,L(y,z,w)). a(x,y * z,K(u,w)) = a(x,z \ y,K(u,w)). a(x,y \ z,K(u,w)) = a(x,z * y,K(u,w)). a(x,y \ z,K(u,w)) != v5 | a(x,z * y,K(u,w)) = v5. a(x,a(y,z,u) \ w,K(y,v5)) != v6 | a(x,T(1 / w,L(y,z,u)),K(y * (a(y,z,u) \ w),v5)) = v6. a(x,T(1 / y,L(z,u,w)),K(z * (a(z,u,w) \ y),v5)) = a(x,y * a(z,u,w),K(z,v5)). a(x,y \ z,K(u,w)) != v5 | a(x,z / y,K(u,w)) = v5. a(x,y / z,K(u,w)) = a(x,y * z,K(u,w)). a(x,a(y,z,u) \ y,K(w,v5)) != v6 | a(v5,x,K(y,w)) = v6. a(x,y,K(z,u)) = a(y,z * a(z,w,v5),K(u,x)). a(x,y * a(y,z,u),K(w,v5)) = a(v5,x,K(y,w)). a(x,(y * z) \ z,K(u,w)) != v5 | a(w,x,K(y,u)) = v5. a(x,y,K(z,u)) = a(y,w * (z * w),K(u,x)). a(x,y * (z * y),K(u,w)) = a(w,x,K(z,u)). a(x,y,K(z,u * (w * u))) = a(x,y,K(w,z)). a(x,y,K(z,u * (w * u))) = a(x,y,K(z,w)). a(x,y,K(z,u \ w)) = a(x,y,K(z,w * u)). a(x,y,K(z,u \ (w \ v5))) != v6 | a(x,y,K(z,w \ (v5 / u))) = v6. a(x,y,K(z,u \ (w / v5))) = a(x,y,K(z,(u \ w) * v5)). a(x,y,K(z,(u * w) \ v5)) != v6 | a(x,y,K(z,u \ (v5 / w))) = v6. a(x,y,K(z,u \ (w / v5))) = a(x,y,K(z,w * (u * v5))). x \ y != a(z,u,K(w,v5 \ v6)) | x * a(z,u,K(w,v6 * v5)) = y. x * a(x \ 1,y,K(z,u * w)) = L(x,K(z,w \ u),y). a(x,y,K(z,(u * (w / v5)) \ K(v5,v5 \ w))) = a(x,y,K(z,(v5 \ w) * T(u,w / v5))). a(x,y / z,K(u,w)) != v5 | a(x,y * z,K(u,w)) = v5. a(x,y,K(z,u \ (w / v5))) != v6 | a(x,y,K(z,(u \ w) * v5)) = v6. a(x,y,K(z,(u \ w) * v5)) = a(x,y,K(z,w * (u * v5))). a(x,y,K(z,u \ w)) != v5 | a(x,y,K(z,w * u)) = v5. a(x,y,K(z,(u / w) * v5)) = a(x,y,K(z,u * (v5 * w))). x * a(y,z,K(x,u * w)) = L(x,K(y,w \ u),z). x * a(y,z,K(x,u)) != w | L(x,u,K(y,z)) = w. L(x,y * z,K(u,w)) = L(x,K(u,z \ y),w). L(x,K(y,z \ u),w) = L(x,u * z,K(y,w)). L(x,K(y,z \ u),w) = L(x,u * z,K(w,y)). L(x,y \ z,K(u,w)) = L(x,z * y,K(u,w)). L(x,y,T(z,u \ w)) = L(L(x,y,z),w * u,K(y,z)). L(L(x,y,z),u * w,K(y,z)) = L(x,y,T(z,w \ u)). L(x,y,T(z,u * w)) = L(x,y,T(z,w \ u)). L(x,y,T(z,u \ w)) = L(x,y,T(z,w * u)). L(x,y,T(z,u \ w)) != v5 | L(x,y,T(z,w * u)) = v5. L(x,y,T(z,u * (w \ v5))) = L(x,y,T(z,(v5 * u) * w)). L(x,y,T(z,(u * w) * v5)) = L(x,y,T(z,w * (v5 \ u))). a(x,y,K(z,(u \ w) * v5)) != v6 | a(x,y,K(z,w * (v5 / u))) = v6. a(x,y,K(z,u * (w / v5))) = a(x,y,K(z,u * (v5 * w))). a(x,y,K(z,u * (w * v5))) * a(x,y,z) = T(a(x,y,z),(w \ u) * v5). a(x,y,K(z,u * (w * v5))) * a(x,y,z) = T(a(x,y,z),(u / v5) * w). L(x,y,T(z,(u * w) * v5)) != v6 | L(x,y,T(z,w * (v5 * u))) = v6. L(x,y,T(z,u * (w * v5))) = L(x,y,T(z,u * (w \ v5))). L(x,y,T(z,u * (w \ v5))) = L(x,y,T(z,u * (w * v5))). L(x,y,T(z,L(x,y,z) * (x * u))) \ x = T(L(x,y,z) \ x,u). L(x,y,T(z,x * (L(x,y,z) * u))) \ x = T(L(x,y,z) \ x,u). L(x,y,T(z,L(x,y,z) * u)) \ x = T(L(x,y,z) \ x,u). x != T(L(y,z,u) \ y,w) | L(y,z,T(u,w)) \ y = x. L(x,y,T(z,u)) \ x = L(x,y,T(z,L(x,y,z) * u)) \ x. L(x,y,T(z,L(x,y,z) * u)) \ x = L(x,y,T(z,u)) \ x. L(x,y,T(z,L(x,y,z) * u)) \ x != w | (L(x,y,z) * u) \ (x * u) = w. (L(x,y,z) * u) \ (x * u) = L(x,y,T(z,u)) \ x. a(T(x,y),z,u) = (L(u,z,x) * y) \ (u * y). (L(x,y,z) * u) \ (x * u) = a(T(z,u),y,x). a(x,T(y,z),u) = (L(u,y,x) * z) \ (u * z). (L(x,y,z) * u) \ (x * u) = a(z,T(y,u),x). T(a(x,y,z),u * (w * v5)) = T(a(x,y,z),(w \ u) * v5). T(a(x,y,z),(u \ w) * v5) = T(a(x,y,z),w * (u * v5)). T(a(x,y,z),(u \ w) * v5) != v6 | T(a(x,y,z),w * (v5 / u)) = v6. T(a(x,y,z),u * (w / v5)) = T(a(x,y,z),u * (v5 * w)). T(a(x,y,z),u) = T(a(x,y,z),w * (w * u)). T(a(x,y,z),u * (u * w)) = T(a(x,y,z),w). T(x,y * (y * (z * (y \ u)))) != w | T(x,z * (y * u)) = w. T(a(x,y,z),u * (w * v5)) = T(a(x,y,z),u * (w \ v5)). T(a(x,y,z),u * (w \ v5)) = T(a(x,y,z),u * (w * v5)). T(a(x,y,z),u * (w / T(u,v5))) != v6 | T(a(x,y,z),w) = v6. T(a(x,y,z),u) = T(a(x,y,z),w * (T(w,v5) * u)). T(a(x,y,z),u * (T(u,w) * v5)) = T(a(x,y,z),v5). T(a(x,y,z),u * (w * u)) = T(a(x,y,z),w). a(x,T(y,z * (u * z)),w) = T(a(x,y,w),u). a(x * y,z,x) = T(a(x * y,z,x),y * z). T(a(x * y,z,x),y * z) = a(x * y,z,x). x != T(a(y,z,u),w) | a(y,T(z,w),u) = x. a(x,T(y,z),u) = a(x,T(y,w * (z * w)),u). a(x,T(y,z * (u * z)),w) = a(x,T(y,u),w). a(x * y,T(z,y * z),x) = a(x * y,z,x). a(x,T(y,z),u) != w | a(x,y,T(u,z)) = w. a(x,y,T(z,u * (w * u))) = a(x,T(y,w),z). a(x * y,T(z,y),x) = a(x * y,z,x). a(x * y,T(z,y),u) != w | a(y * x,z,u) = w. a(x * y,z,y) = a(y * x,z,y). a(x * y,z,y) != u | a(y,y \ x,z) = u. a(x,x \ y,z) = a(x * y,z,x). a(x * y,z,x) = a(x,x \ y,z). a(x,y,T(z,u)) = a(x,y,T(z,w * (u * w))). a(x,y,T(z,u * (w * u))) = a(x,y,T(z,w)). T(a(x,y,z),u * (w \ v5)) != v6 | T(a(x,y,z),(u / w) * v5) = v6. T(a(x,y,z),(u / w) * v5) = T(a(x,y,z),u * (w * v5)). a(x,y,K(z,u * (w * v5))) * a(y,z,x) = T(a(y,z,x),(u / T(v5,v6)) * w). T(a(x,y,z),(u / T(w,v5)) * v6) = a(z,x,K(y,u * (v6 * w))) * a(x,y,z). K(x,L(y,z,u \ ((w * (v5 / u)) \ u))) = K(x,L(y,z,((1 / u) \ w) * v5)). K(x,L(y,z,((u * (w / v5)) \ v5) * v5)) = K(x,L(y,z,((1 / v5) \ u) * w)). K(x,L(y,z,u * (u / (w * (v5 / u))))) = K(x,L(y,z,((1 / u) \ w) * v5)). K(x,L(y,z,u * (u * ((u / w) / v5)))) = K(x,L(y,z,((1 / u) \ v5) * w)). K(x,L(y,z,u * (u * w))) != v5 | K(x,L(y,z,w)) = v5. K(x,L(y,z,(u / w) / v5)) = K(x,L(y,z,((1 / u) \ v5) * w)). K(x,L(y,z,((1 / u) \ w) * v5)) = K(x,L(y,z,(u / v5) / w)). x != K(y,L(z,u,w / v5)) | K(y,L(z,u,v5 * w)) = x. K(x,L(y,z,u * (w / v5))) = K(x,L(y,z,((1 / w) \ u) * v5)). K(x,L(y,z,((1 / u) \ w) * v5)) = K(x,L(y,z,w * (u / v5))). K(x,L(y,z,(u * w) * v5)) = K(x,L(y,z,w * (u / v5))). K(x,L(y,z,(u * (w * v5)) * (u * w))) != v6 | K(x,L(y,z,L(v5,w,u))) = v6. K(x,L(y,z,L(u,w,v5))) = K(x,L(y,z,(w * u) * (v5 / (v5 * w)))). K(x,L(y,z,(u * w) * (v5 / (v5 * u)))) = K(x,L(y,z,L(w,u,v5))). K(x,L(y,z,(u * w) / T(u,v5))) = K(x,L(y,z,L(w,u,v5))). K(x,L(y,z,T(u,w) * K(w,v5))) = K(x,L(y,z,L(u,w,v5))). K(x,L(y,z,u * (w / T(u,v5)))) = K(x,L(y,z,L(w,u,v5))). K(x,L(y,z,u * (w / T(u,v5)))) != v6 | K(x,L(y,z,K(u,v5) * w)) = v6. K(x,L(y,z,K(u,w) * v5)) = K(x,L(y,z,L(v5,u,w))). K(x,L(y,z,K(u,w) * v5)) != v6 | K(x,L(y,z,v5)) = v6. K(x,L(y,z,u)) = K(x,L(y,z,L(u,w,v5))). K(x,L(y,z,L(u,w,v5))) = K(x,L(y,z,u)). K(x,L(y,L(z,u,w),v5)) = K(x,L(y,v5,z)). x != a(y,z,K(u,w)) * a(z,u,y) | T(a(z,u,y),w) = x. T(a(x,y,z),u * (w * v5)) = T(a(x,y,z),(u / T(v5,v6)) * w). T(a(x,y,z),(u / T(w,v5)) * v6) = T(a(x,y,z),u * (v6 * w)). T(a(x,y,z),(u / w) * v5) != v6 | T(a(x,y,z),u * (w * v5)) = v6. T(a(x,y,z),u * (T(w,v5) * v6)) = T(a(x,y,z),u * (v6 * w)). a(x,T(y,z * (T(u,w) * v5)),v6) = T(a(x,y,v6),z * (v5 * u)). a(x,T(y,z * (u * w)),v5) = a(x,T(y,z * (T(w,v6) * u)),v5). a(x,T(y,z * (T(u,w) * v5)),v6) = a(x,T(y,z * (v5 * u)),v6). a(x,y,T(z,u * (T(w,v5) * v6))) = a(x,T(y,u * (v6 * w)),z). a(x,y,T(z,u * (w * v5))) = a(x,y,T(z,u * (T(v5,v6) * w))). a(x,y,T(z,u * (T(w,v5) * v6))) = a(x,y,T(z,u * (v6 * w))). a(x,K(y,z \ 1) * u,T(w,z * (T(z,y) * u))) != v5 | a(x,K(y,z \ 1) * u,T(w,z * z)) = v5. a(x,K(y,z \ 1) * u,T(w,z * z)) = a(x,K(y,z \ 1) * u,T(w,z * (u * z))). a(x,K(y,z \ 1) * u,T(w,z * (u * z))) = a(x,K(y,z \ 1) * u,T(w,z * z)). a(x,y,K(z,(u * (w / v5)) \ K(w,v5))) = a(x,y,K(z,(v5 \ w) * T(u,w / v5))). a(x,y,K(z,(u / w) \ (v5 \ K(u,w)))) = a(x,y,K(z,(w \ u) * T(v5,u / w))). a(x,y,K(z,(u / w) * (v5 \ K(w,u)))) = a(x,y,K(z,(u \ w) * T(v5,w / u))). a(x,y,K(z,(u / w) * v5)) != v6 | a(x,y,K(z,u * (v5 * w))) = v6. a(x,y,K(z,u * ((w \ K(v5,u)) * v5))) = a(x,y,K(z,(u \ v5) * T(w,v5 / u))). a(x,y,K(z,(u \ w) * T(v5,w / u))) = a(x,y,K(z,u * ((v5 \ K(w,u)) * w))). a(x,y,K(z,(u \ w) * T(v5,w / u))) = a(x,y,K(z,u * (K(w,u) * (v5 \ w)))). a(x,y,K(z,(u \ w) * T(v5,w / u))) = a(x,y,K(z,T(u,w) * (v5 \ w))). a(x,y,K(z,(u \ w) * T(v5,w / u))) = a(x,y,K(z,w * (u / T(v5,w)))). x != a(y,z,K(u,w * (v5 / v6))) | a(y,z,K(u,w * (v6 * v5))) = x. a(x,y,K(z,u * (T(w,u) * v5))) = a(x,y,K(z,(v5 \ u) * T(w,u / v5))). a(x,y,K(z,(u \ w) * T(v5,w / u))) = a(x,y,K(z,w * (T(v5,w) * u))). a(x,y,K(z,(u \ w) * T(v5,w / u))) = a(x,y,K(z,v5 * (w * u))). a(x,y,K(z,(u \ w) * T(v5,u \ w))) = a(x,y,K(z,v5 * (w * u))). a(x,y,K(z,u * (w \ v5))) = a(x,y,K(z,u * (v5 * w))). a(x,y,T(z,u * (w * u))) != v5 | a(x,y,T(z,w)) = v5. a(x,K(y,z \ 1) * u,T(w,u)) = a(x,K(y,z \ 1) * u,T(w,z * z)). a(x,K(y,z \ 1) * u,T(w,z * z)) = a(x,K(y,z \ 1) * u,T(w,u)). x != a(y,z * u,T(w,u)) | a(y,u * z,w) = x. a(x,y * K(z,u \ 1),w) = a(x,K(z,u \ 1) * y,T(w,u * u)). a(x,K(y,z \ 1) * u,T(w,z * z)) = a(x,u * K(y,z \ 1),w). x != a(y,z * K(u,w \ 1),v5) | a(y,z * K(u,w),v5) = x. a(x,y * K(z,u),w) = a(x,K(z,u \ 1) * y,T(w,u * u)). a(x,K(y,z \ 1) * u,T(w,z * z)) = a(x,u * K(y,z),w). a(x,K(y,z \ 1) * u,L(w,z,z)) = a(x,u * K(y,z),w). a(x,y,L(z,u,u)) != w | a(x,y,z) = w. a(x,K(y,z \ 1) * u,w) = a(x,u * K(y,z),w). a(x,y,z) = a(x,y * K(u,x),z). a(x,y * K(z,x),u) = a(x,y,u). a(x,y * K(x,z),u) = a(x,y,u). a(x,(x \ y) * K(x,z),u) != w | a(x,y / T(x,z),u) = w. a(x,y / T(x,z),u) = a(x,x \ y,u). a(x,x \ y,T(z,u)) \ z = L(z,T(x,u) \ y,T(x,u)). L(x,T(y,z) \ u,T(y,z)) = a(y,y \ u,T(x,z)) \ x. x != a(y,z,T(u,w)) \ u | L(u,z,T(y,w)) = x. L(x,y \ z,T(y,u)) = L(x,T(y,u) \ z,T(y,u)). L(x,T(y,z) \ u,T(y,z)) = L(x,y \ u,T(y,z)). L(x,y \ z,T(T(y,u),u)) = L(x,T(y,u) \ z,T(T(y,u),u)). L(x,T(y,z) \ u,T(T(y,z),z)) = L(x,y \ u,T(T(y,z),z)). L(x,T(1 / y,z) \ u,z / (z * y)) = L(x,(1 / y) \ u,T(1 / y,z)). L(x,T(y,z) \ u,T(T(y,z),z)) = L(x,y \ u,y). L(x,T(y,z) \ u,y) = L(x,y \ u,y). L(x,T(y,y * z) \ u,y) != w | R(x,y,u \ (T(y,z) \ 1)) = w. R(x,y,z \ (T(y,u) \ 1)) = L(x,y \ z,y). L(x,T(y,z) \ u,y) != w | L(x,u / T(y,z),y) = w. L(x,y / T(z,u),z) = L(x,z \ y,z). L(L(x,y \ z,y),T(y,z * x),T(y,z * x)) = z \ ((L(y,x,z) * (z * x)) / T(y,z * x)). R(x,y,(1 / z) \ (T(y,u) \ 1)) != w | L(x,y \ (K(y \ 1,u) / z),y) = w. L(x,y \ (K(y \ 1,z) / u),y) = L(x,y \ (1 / u),y). x != L(y,z \ (1 / u),z) | R(y,z,z \ u) = x. R(x,y,y \ z) = L(x,y \ (K(y \ 1,u) / z),y). L(x,y \ (K(y \ 1,z) / u),y) = R(x,y,y \ u). L(x,y \ (K(z,y \ 1) / u),y) = R(x,y,y \ u). L(x,y \ (K(z,y \ 1) / u),w) != v5 | L(x,y \ (u \ K(y,z)),w) = v5. L(x,y \ (z \ K(y,u)),y) = R(x,y,y \ z). L(x,T(1 / y,z) \ u,z \ (y \ z)) = L(x,(1 / y) \ u,T(1 / y,z)). L(x,T(y / z,u) \ w,v5) != v6 | L(x,T(z / y,u) * w,v5) = v6. L(x,T(y / 1,z) * u,z \ (y \ z)) = L(x,(1 / y) \ u,T(1 / y,z)). L(x,T(y,z) * u,z \ (y \ z)) = L(x,(1 / y) \ u,T(1 / y,z)). L(x,(1 / y) \ z,T(1 / y,u)) = L(x,T(y,u) * z,u \ (y \ u)). L(x,y,T(1 / z,u)) != w | L(x,y,T(z,u) \ 1) = w. L(x,(1 / y) \ z,T(y,u) \ 1) = L(x,T(y,u) * z,u \ (y \ u)). L(x,y * z,T(y,u) \ 1) = L(x,T(y,u) * z,u \ (y \ u)). L(x,T(y,z) * u,z \ (y \ z)) = L(x,y * u,T(y,z) \ 1). a(x,T(1 / y,L(z,u,w)),K(v5,z * (a(z,u,w) \ y))) = a(x,y * a(z,u,w),K(z,v5)). a(x,y,K(z,u * (w \ v5))) != v6 | a(x,y,K(z,u * (v5 * w))) = v6. a(x,T(1 / y,L(z,u,w)),K(v5,z * (y * a(z,u,w)))) = a(x,y * a(z,u,w),K(z,v5)). a(x,1 / y,T(K(z,u * (y * a(u,w,v5))),L(u,w,v5))) = a(x,y * a(u,w,v5),K(u,z)). a(x,1 / y,K(z,T(u * (y * a(u,w,v5)),L(u,w,v5)))) = a(x,y * a(u,w,v5),K(u,z)). a(x,1 / y,K(z,T(u * (y * a(u,w,v5)),u))) = a(x,y * a(u,w,v5),K(u,z)). a(x,1 / y,K(z,(y * a(u,w,v5)) * u)) = a(x,y * a(u,w,v5),K(u,z)). a(x,1 / y,K(z,y * (u * a(u,w,v5)))) = a(x,y * a(u,w,v5),K(u,z)). a(x,1 * y,K(z,y * (u * a(u,w,v5)))) = a(x,y * a(u,w,v5),K(u,z)). a(x,y,K(z,y * (u * a(u,w,v5)))) = a(x,y * a(u,w,v5),K(u,z)). a(x,y,K(z,y * u)) != w | a(z,u,K(x,y)) = w. a(x,y * a(y,z,u),K(w,v5)) = a(w,v5 * a(y,z,u),K(y,x)). a(x,y * a(z,u,w),K(z,v5)) = a(v5,z * a(z,u,w),K(x,y)). a(x,y * a(z,u,w),K(z,v5)) = a(v5,z * a(z,u,w),K(y,x)). x != a(y,z * a(z,u,w),K(v5,v6)) | a(v6,y,K(z,v5)) = x. a(x,y,K(z,u)) = a(x,u * a(z,w,v5),K(z,y)). a(x,y * a(z,u,w),K(z,v5)) = a(x,v5,K(z,y)). L(L(x,y \ z,y),y,y) = z \ ((L(y,x,z) * (z * x)) / T(y,z * x)). L(L(x,y \ z,y),y,y) = z \ (a(z,x,y) \ (z * x)). x != y \ (a(y,z,u) \ (y * w)) | a(y,z,u) \ w = x. a(x,y,z) \ y = L(L(y,z \ x,z),z,z). L(L(x,y \ z,y),y,y) = a(z,x,y) \ x. L(L(x,y \ z,y),y,y) != u | z \ ((z * (x * y)) / y) = u. x \ ((x * (y * z)) / z) = a(x,y,z) \ y. a(x,y,z) \ y = x \ ((x * (y * z)) / z). L(L(x,y,z),z,z) = a(z * y,x,z) \ x. a(x,y,z) \ y != L(u,z,z) | L(y,z \ x,z) = u. L(x,y,y) != a(z,u,y) \ u | L(u,y \ z,y) = x. L(L(x,T(y,z),(1 / y) * z),(1 / y) * z,(1 / y) * z) = a(z,x,(1 / y) * z) \ x. L(L(x,T(y \ 1,z) \ u,(y * z) \ z),(y * z) \ z,(y * z) \ z) = a(u,x,(y * z) \ z) \ x. L(L(x,(y \ (z * z)) \ z,z * z),z * z,z * z) = a((y \ 1) \ z,x,z * z) \ x. L(L(x,y \ z,(z * z) \ y),(z * z) \ y,(z * z) \ y) = a(1 / z,x,(z * z) \ y) \ x. L(R(x,y,z \ 1),y,y) = a(y \ z,x,y) \ x. L(L(x,y,z),z,z) = a(z,z \ y,x) \ x. x != a(y,z,u) \ u | L(u,z,y) = x. L(x,y \ z,y) = L(L(x,z,y),y,y). L(L(x,y,z),z,z) = L(x,z \ y,z). L(L(x,y,z),z,z) != u | L(x,z \ y,z) = u. L(L(a(x,y,z),u,w),v5,v5) != v6 | L(a(x,y,z),u,w) = v6. L(a(x,y,z),u,w) = L(a(x,y,z),w \ u,w). L(a(x,y,z),u \ w,u) = L(a(x,y,z),w,u). L(x * x,y,z) = L(x * x,z \ y,z). L(x * x,y \ z,y) = L(x * x,z,y). L(x,(1 / y) \ z,1 / y) != u | z \ ((z * (x / y)) / (1 / y)) = u. x \ ((x * ((y * y) / z)) / (1 / z)) = L(y * y,x,1 / z). L(R(x,y,z),y,y) = a(y \ (z \ 1),x,y) \ x. x != a(y \ (z \ 1),u,w) \ u | R(u,w,z * y) = x. R(x,y,z * y) = L(R(x,y,z),y,y). L(R(x,y,z),y,y) = R(x,y,z * y). L(R(x,y,z),y,y) != u | R(x,y,z * y) = u. x \ ((x / (y \ (y \ z))) * z) = L(y * y,x,1 / z). L(L(x,T(y,z),y \ z),(1 / y) * z,(1 / y) * z) = a(z,x,(1 / y) * z) \ x. L(L(x,y,y \ z),(1 / y) * z,(1 / y) * z) = a(z,x,(1 / y) * z) \ x. L(x,(1 / y) * z,(1 / u) * w) != v5 | L(x,y \ z,u \ w) = v5. L(L(x,y,y \ z),y \ z,y \ z) = a(z,x,(1 / y) * z) \ x. L(L(x,y,y \ z),z * y,z * y) = a(z,x,(1 / y) * z) \ x. L(L(x,y,y \ z),z * y,z * y) != u | z \ ((y / z) \ (y * x)) = u. x \ ((y / x) \ (y * z)) = a(x,z,(1 / y) * x) \ z. a(x,y,(1 / z) * x) \ y = x \ ((z / x) \ (z * y)). a(x,y,z \ x) \ y = x \ ((z / x) \ (z * y)). L(L(x,((y * y) \ z) * y,y * y),y * y,y * y) = a((z \ 1) \ y,x,y * y) \ x. L(L(x,y / z,z * z),z * z,z * z) = a((y \ 1) \ z,x,z * z) \ x. L(L(x,y \ z,y * y),y * y,y * y) = a((z \ 1) \ y,x,y * y) \ x. L(x,y \ z,y * y) = a((z \ 1) \ y,x,y * y) \ x. a((x \ 1) \ y,z,y * y) \ z = L(z,y \ x,y * y). L(L(x,y \ z,z \ (z \ y)),(z * z) \ y,(z * z) \ y) = a(1 / z,x,(z * z) \ y) \ x. L(R(x,y,y \ z),(z * z) \ y,(z * z) \ y) = a(1 / z,x,(z * z) \ y) \ x. L(x,(y * y) \ z,(u * u) \ w) != v5 | L(x,y \ (y \ z),u \ (u \ w)) = v5. L(R(x,y,y \ z),z \ (z \ y),z \ (z \ y)) = a(1 / z,x,(z * z) \ y) \ x. L(R(x,y,y \ z),(z \ y) * z,(z \ y) * z) = a(1 / z,x,(z * z) \ y) \ x. L(R(x,y,y \ z),z * (y / z),(z \ y) * z) = a(1 / z,x,(z * z) \ y) \ x. L(x,y,(z \ u) * z) != w | L(x,y,T(u,z)) = w. L(R(x,y,y \ z),z * (y / z),T(y,z)) = a(1 / z,x,(z * z) \ y) \ x. L(R(x,y,y \ z),y,y) = a(1 / z,x,(z * z) \ y) \ x. R(x,y,(y \ z) * y) = a(1 / z,x,(z * z) \ y) \ x. R(x,y,y * (z / y)) = a(1 / z,x,(z * z) \ y) \ x. R(x,y,z * (u / z)) != w | R(x,y,T(u,z)) = w. R(x,y,T(z,y)) = a(1 / z,x,(z * z) \ y) \ x. R(x,y,z) = a(1 / z,x,(z * z) \ y) \ x. R(x,y,z) = a(1 / z,x,z \ (z \ y)) \ x. R(x,y,z) = a(z \ 1,x,(z \ y) / z) \ x. R(x,y,z) = a(z \ 1,x,z \ (y / z)) \ x. R(x,y,z) = a(y \ 1,z,x) \ x. L(x,y,z \ 1) = R(x,z,y). R(x,y,z) = L(x,z,y \ 1). x != a(y \ 1,z,u) \ u | u * a(z,u,y) = x. x * a(y,x,z) = R(x,z,y). R(x,y,z) = x * a(z,x,y). x * y != a(z \ 1,u,w) \ w | x \ R(w,z,u) = y. x \ R(x,y,z) = a(z,x,y). a(x,y,z) = y \ R(y,z,x). x != L(y * y,z * u,z \ 1) | u \ ((u / (y \ (y \ z))) * z) = x. x \ ((x / (y \ (y \ z))) * z) = R(y * y,z,z * x). x != L(y,z,u \ 1) | L(y,z,z \ (u \ z)) = x. L(x,y,y \ (z \ y)) = R(x,z,y). R(x,y,z) = L(x,z,z \ (y \ z)). x != L(y,z,u \ 1) | L(y,z,1 / u) = x. L(x,y,1 / z) = R(x,z,y). R(x,y,z) = L(x,z,1 / y). x != L(R(y,z,u),u \ (z \ 1),z \ 1) | L(y,z,z) = x. L(x,y,y) = R(R(x,y,z),y,z \ (y \ 1)). R(R(x,y,z),y,z \ (y \ 1)) = L(x,y,y). L(x,y,z \ (u \ 1)) = R(x,u * z,y). x != L(y,z,(u \ w) \ 1) | L(y,z,w \ u) = x. L(x,y,z \ u) = R(x,u \ z,y). R(x,y \ z,u) = L(x,u,z \ y). (x * R(y,z,u)) \ (x * y) = a(z \ 1,u,y). x \ R(x,y,z) != u | a(z,x,y) = u. L(L(R(x,y,z * y),z,y \ 1),y,y) = L(x,z * y,y \ (y \ 1)). a(x,y,z) = a(z,x,y). a(x,y \ z,u \ 1) = a(x,z \ y,u). a(x \ 1,y,z) = a(y \ 1,z,x). a(x \ 1,y,z) = a(z \ 1,x,y). x != a(y \ z,u,w) | a(w,z \ y,u \ 1) = x. a(x,y \ z,u \ 1) = a(u,x,z \ y). x != a(y,z,y * (u \ y)) | a(z,u \ 1,y) = x. a(x,y \ 1,z) = a(x,z * (y \ z),z). a(x,y * (z \ y),y) = a(x,z \ 1,y). x != a(y,z,u) | y \ R(y,z,u) = x. x \ R(x,y,z) = a(y,z,x). a(x,y,z) = z \ R(z,x,y). x != a(y \ (z \ 1),u,w) | a(w,z * y,u \ 1) = x. a(x,y * z,u \ 1) = a(u,x,z \ (y \ 1)). x != a(y,z,u \ 1) | a(u,y,z) \ 1 = x. a(x,y,z) \ 1 = a(z,x \ 1,y). a(x,y \ 1,z) = a(y,z,x) \ 1. x != a(y \ 1,z,u) | 1 / a(z,u,y) = x. 1 / a(x,y,z) = a(x,y,z \ 1). a(x,y,z \ 1) = 1 / a(x,y,z). x != a(y \ 1,z,u) | a(z,u,y) \ 1 = x. a(x,y,z) \ 1 = a(x,y,z \ 1). a(x,y,z \ 1) = a(x,y,z) \ 1. x != a(y \ 1,z,u) | y \ L(y,u,z) = x. x \ L(x,y,z) = a(z,y,x \ 1). a(x,y,z \ 1) = z \ L(z,y,x). x \ y != a(z,u,w) | x * a(u,w,z) = y. x * a(x,y \ z,u) = L(x,u,z \ y). x * a(y,z,x) = R(x,y,z). R(x,y,z) = x * a(y,z,x). x * y != a(z,u,w) | x \ a(u,w,z) = y. x \ a(y,x,z) = L(x,y,z) \ 1. L(x,y,z) \ 1 = x \ a(y,x,z). a(x \ 1,y,z) != u | a(z,x,y \ 1) = u. a(x,y,z \ 1) = a(x,y \ 1,z). a(x,y \ 1,z) = a(x,y,z \ 1). a(x,y,z) \ u = a(z,x,y) \ u. a(x,y,z) * L(x,z,y) = x. L(x,y,z) = a(x,z,y) \ x. L(x,y,z) = a(y,x,z) \ x. a(x,y,z) \ x != u | L(x,z,y) = u. a(x,y,z) \ y != u | L(y,x,z) = u. (x \ L(x,y,z)) \ u = a(x,z,y) * u. L(x,y,z) * (x \ u) = a(x,z,y) \ u. a(x,y,z \ 1) \ u = a(x,y,z) * u. a(x,y,z) \ (x * u) = L(x,z,y) * u. x * (a(x,y,z) \ u) = L(x,z,y) * u. x * (a(y,x,z) \ u) = L(x,y,z) * u. (x / L(y,z,u)) * y = x * a(y,u,z). x * (x * (y / L(x * x,z,u))) = y * a(z,x * x,u). (L(x,y,z) * (a(x,z,y) \ u)) \ (x * u) = a(z,y,x) * a(z,y,x). a(x,y,z) \ L(x,u,y) = L(L(x,u,y),z,y). a(x,y,z) * z != u | R(z,x,y) = u. L(x,y,z) \ R(x,u,w) = a(x,z,y) * a(x,u,w). x \ (x \ (y * R(x * x,z,u))) = y * a(z,u,x * x). a(x,y,z) \ a(u,w,x \ 1) = R(x,y,z) \ L(x,w,u). a(x,y,z) \ (1 / a(x,u,w)) = R(x,y,z) \ L(x,w,u). a(x,y,z) \ (1 / a(u,x,w)) = R(x,y,z) \ L(x,u,w). a(x,y,z * z) \ (z \ (z \ u)) = u / R(z * z,x,y). x \ (x \ (y * L(x * x,z,u))) = a(z,x * x,u) \ y. a(x,y * y,(z \ 1) \ y) \ x = L(x,y \ z,y * y). a(x,y,z) != u | a(y,z,x) = u. a(x,y,z) != u | a(z,x,y) = u. R(x,y,z) \ x = x \ L(x,z,y). x * (y * R(z,x,y)) = (x * y) * z. a(x,y,R(z,x,y)) = a(x,y,z). a(x,y,z) * u != z * w | L(z,y,x) * w = u. L(x,y,x * z) * z = L(x * z,x,y). x != a(y \ 1,z,u) \ (y \ w) | L(y,u,z) \ w = x. L(x,y,z) \ 1 = L(x \ 1,y,z). L(x \ 1,y,z) = L(x,y,z) \ 1. 1 / L(x,y,z) = L(1 / x,y,z). L(1 / x,y,z) = 1 / L(x,y,z). (((a(x,y,z) \ 1) * x) * (u * a(x,y,z))) / a(x,y,z) = (1 / a(x,y,z)) \ ((a(x,y,z) \ L(x,z,y)) * u). x / (a(x,y,z) * R(x,y,z)) = R(x,y,z) \ L(x,z,y). a(x,y,z) \ u = a(z,u / a(x,y,z),K(x,y)) \ (u / a(x,y,z)). a(x,y / a(z,u,x),K(z,u)) \ (y / a(z,u,x)) = a(z,u,x) \ y. L(x,T(y,z),z) = a(y,x,z) \ x. x != a(y,z,u) \ z | R(z,u,y \ 1) = x. R(x,y,z \ 1) = L(x,z,y). L(x,y,z) = R(x,z,y \ 1). x != a(y,z,u \ y) \ z | y \ ((u / y) \ (u * z)) = x. x \ ((y / x) \ (y * z)) = L(z,x,y \ x). x != a(y,z,u) \ z | y \ ((y * (z * u)) / u) = x. x \ ((x * (y * z)) / z) = L(y,x,z). L(x,y,z) = y \ ((y * (x * z)) / z). R(x,y,z * u) = L(x,u \ (z \ 1),y). L(x,y \ (z \ 1),u) = R(x,u,z * y). L(x,y,1 / z) != u | R(x,z,y) = u. R(x,y,z) = a(z,x,1 / y) \ x. x != R(y,z,u) | L(y,u,z \ 1) = x. L(x,y \ 1,z \ 1) = L(x,y,z). x != R(y,z,(u / w) \ 1) | R(y,z,w / u) = x. R(x,y,z / u) = L(x,u / z,y). x != R(y,z,(u \ 1) \ 1) | R(y,z,u) = x. R(x,y,z) = L(x,z \ 1,y). L(x,1 / y,z) = R(x,z,y). R(x,y,z) = L(x,1 / z,y). a(x,y,z) \ a(x,u,w \ 1) = R(x,y,z) \ L(x,w,u). (L(x,y,z) * u) * a(y,x,z) = x * L(u,z,K(x,y)). x != L(y,z \ 1,u) | L(y,(w * z) \ w,u) = x. L(x,(y * z) \ y,u) = R(x,u,z). L(x,y \ z,u) = R(x,u,z \ y). R(x,y,z \ u) = L(x,u \ z,y). a(x,y \ z,u \ 1) != w | a(u,x,z \ y) = w. (L(x,y,z) * u) \ (x * u) != w | a(x,z,T(y,u)) = w. R(x,y \ z,y) != u | L(R(x,z,y),y,y) = u. L(R(x,y,z),z,z) = L(x,z,y \ z). R(x,L(T(y,z),z,u),w) = L(x,w,(u * (y * z)) \ (u * z)). L(x,y,(z * (u * w)) \ (z * w)) = R(x,L(T(u,w),w,z),y). R(x,(y \ (z * u)) / z,w) = L(x,w,(u / z) \ ((1 / z) * y)). L(x,y,(z / u) \ ((1 / u) * w)) = R(x,(w \ (u * z)) / u,y). a(x,y,z \ 1) != z \ u | L(z,y,x) = u. a(x,y \ 1,z) != u | a(z,x,z * (y \ z)) = u. a(x,y,x * (z \ x)) = a(y,z,x \ 1). R(x,y,z) \ x != u | x / R(x,y,z) = u. x / R(x,y,z) = x \ L(x,z,y). x \ y != L(z \ 1,u,w) | x * (L(z,u,w) \ 1) = y. (x * y) * (L(z,y,x) \ 1) = x * (y * (z \ 1)). L(T(x \ 1,y),z,u) = T(L(x,z,u) \ 1,y). L(a(x \ 1,y,z),u,w) = L(a(y,z,x),u,w) \ 1. L(a(x,y,z \ 1),u,w) = L(a(z,x,y),u,w) \ 1. L(x,y \ (z * y),y) = a(z,x,y) \ x. L(x,y \ (z \ 1),u \ 1) = L(x,z * y,u). L(x,1 / y,z \ 1) = L(x,y,z). x != R(y,z,u) | a(u,y,1 / z) \ y = x. a(x,y,1 / z) \ y = L(y,(u * x) \ u,z). L(x,(y * z) \ y,u) = a(z,x,1 / u) \ x. R(x,y,y \ z) != u | L(x,z \ (y \ 1),y) = u. L(x,y \ (z \ 1),z) = L(x,y \ z,z). L(x,y \ z,z) * y = (x * z) * (z \ y). R(x,y,z \ 1) != u | L(x,z,y) = u. L(R(x,y,z),z,y) = x. (x * y) * z != x * (y * R(u,w,v5)) | R(L(u,y,x),w,v5) = z. R(L(x,y,z),z,y) = x. x \ (y \ ((y * x) * z)) = R(z,y,x). R(x,y,z) = z \ (y \ ((y * z) * x)). x != L(y,z,u) | R(x,u,z) = y. L(x,y,z) != u | R(u,z,y) = x. x * (y * z) = (L(x,z,y) * y) * z. (L(x,y,z) * z) * y = x * (z * y). (x * (y * z)) / z = L(x,z,y) * y. L(L(x,y,z),y,u) = (u * y) \ (u * ((y * (x * z)) / z)). (x * y) \ (x * ((y * (z * u)) / u)) = L(L(z,y,u),y,x). R(x,y,z / u) != w | L(x,u / z,y) = w. L(x,y \ z,y) != u | L(x,z / y,y) = u. R(x,y * (y * (y * y)),z) = z \ (y \ (y \ (y \ (y \ (((y * (y * (y * y))) * z) * x))))). x \ (y \ (y \ (y \ (y \ (((y * (y * (y * y))) * x) * z))))) = R(z,y * (y * (y * y)),x). (L(x,y,z) * z) * y != u * (z * y) | x = u. (x * T(x * y,y)) / x = L(x * y,y,x). ((x * (y * z)) / z) / y != u | L(x,z,y) = u. x != a(y,z \ 1,u) | a(y,z,u \ 1) = x. a(x,y,z \ 1) = a(x,z * (y \ z),z). a(x,y * (z \ y),y) = a(x,z,y \ 1). a(x,y,z) * u != w \ u | x \ L(x,z,y) = w. x \ y != a(z,u,w) * y | z \ L(z,w,u) = x. (x * (a(x,y,z) \ y)) * z = x * (y * z). a(x,y,z) \ (L(x,u,w) * v5) = L(x,z,y) * (a(x,w,u) \ v5). x * y != L(z * y,u,w) | y \ L(y * z,u,w) = x. x \ L(x * y,y,z) = L(y,z,y * x). a(x,y,a(z,u,x) * (L(x,u,z) * (w \ x))) = a(y,w,x \ 1). L(x,y \ z,y) != u | L(L(x,z,y),y,y) = u. L(L(x,y * z,z),z,z) = a(y,x,z) \ x. L(x,y \ (z \ 1),u) != w | R(x,u,z * y) = w. R(x,y,y * z) = L(x,z \ y,y). R(x,y,y * z) != u | R(x,y,z * y) = u. R(x,y,z * y) = L(x,z \ y,y). R(x,y,z \ u) != w | L(x,u \ z,y) = w. L(R(x,y,z),(y \ 1) \ z,y) = L(x,y,y). (x * y) \ (((y / x) / (x * y)) \ ((y / x) * z)) = L(z,x * y,x * ((x \ y) \ y)). x \ (L(x,y \ (z * z),z * z) * y) = ((z * z) * (((z * z) \ y) / x)) * x. T(T(x * y,y),x) = L(x * y,y,x). ((1 / x) / y) \ 1 = L(y * x,x,y). L(x * y,y,x) = ((1 / y) / x) \ 1. x \ L(x * y,y,x) = x * (((1 / y) * x) \ 1). (x * L(y,x,z)) * z = x * (y * z). x * y != (x * L(x,z,u)) * w | (1 / L(x,z,u)) \ w = y. (1 / L(x,x,y)) \ y = x * y. (x * (y * L(z,x * y,u))) * u = (x * y) * (L(z,y,x) * u). L(x,y \ z,y) = L(x,z * y,y). L(L(x,y \ z,z),z,z) = a(1 / y,x,z) \ x. L(x,y / z,z) = L(x,y * z,z). L(x * x,y \ z,y) != u | L(x * x,z,y) = u. L(x * x,y,z) = L(x * x,y * z,z). L(x * x,y * z,z) = L(x * x,y,z). L(R(x,y,z),y * z,y) = L(x,y,y). L(x,y,z) != u | (z * (y * x)) / T(z * y,x) = u. (x * ((x * y) * R(z,x,y))) / T(x * (x * y),R(z,x,y)) = L(z,x,x). x != a(y \ 1,z,u) | a(z \ 1,u,y) = x. a(x \ 1,y,z) = (u * R(y,z,x)) \ (u * y). (x * R(y,z,u)) \ (x * y) = a(u \ 1,y,z). x \ y != L(y,z,u) | a(z,y,u) = x. a(x,L(y,z,u),u) = a(y,u,x). x * y != a(z,u,w) \ L(z,v5,u) | x \ L(L(z,v5,u),w,u) = y. x \ L(L(x,y,z),u,z) = R(x,z,u) \ L(x,y,z). R(x,y,z) \ L(x,u,y) = x \ L(L(x,u,y),z,y). L(x,y,z) * (a(x,z,u) \ w) = L(L(x,y,z),u,z) * w. x != T(L(y / z,u,w) \ 1,z) | (z * L(z \ y,u,w)) \ z = x. (x * L(x \ y,z,u)) \ x = L(T((y / x) \ 1,x),z,u). L(T((x / y) \ 1,y),z,u) = (y * L(y \ x,z,u)) \ y. L(x,y \ z,z) != u | R(x,z,y * z) = u. R(x,y,(y * z) * y) = a(z,x,1 / y) \ x. x \ y != a(z \ 1,u,w) | y * a(u,w,z) = x. (x * y) * a(y,z,u) = x * R(y,z,u). x * a(y,z,u) = (x / y) * R(y,z,u). (x / y) * R(y,z,u) = x * a(y,z,u). x * a(y \ 1,z,u) != w | x / a(z,u,y) = w. (x * (y \ 1)) / a(z,u,y) = x * R(y \ 1,z,u). T(a(x,y,z),u) * ((x * x) * T(a(x,y,z),u)) = a(x,y,z) * (x * R(x,y,z)). a(x,(y * a(z,u,w)) \ 1,v5) = a(x,R(z,u,w) \ ((y / z) \ 1),v5). a(x,R(y,z,u) \ ((w / y) \ 1),v5) = a(x,(w * a(y,z,u)) \ 1,v5). R(x,y,z * y) != u | L(R(x,y,z),y,y) = u. L(R(x,y,y * z),y,y) = a(z,x,1 / y) \ x. ((x * y) / (x * z)) \ (x * z) = x * (z * ((z \ y) \ 1)). x \ L(x * y,y,z) != u | L(y,z,y * x) = u. L(x,y,x * y) = y * (((1 / x) * y) \ 1). R(x,y,L(z,u,z * u) * u) = R(x,y,u * ((((1 / z) * u) \ 1) * u)). L(x,y \ (z \ y),y) = a(1 / z,x,y) \ x. L(x,y \ z,y) != u | L(x,z * y,y) = u. L(x,(y \ z) * z,z) = a(1 / y,x,z) \ x. L(x,y * (z \ y),y) = a(1 / z,x,y) \ x. x != a(y,z,u) \ w | a(z,u,y) \ w = x. a(x,y,1 / z) \ x = L(x,y * (z \ y),y). L(x,y * (z \ y),y) = a(x,y,1 / z) \ x. L(x,y * (z \ y),y) = a(x,y,z \ 1) \ x. x != a(y,z,u) \ y | L(y,u,z) = x. L(x,y \ 1,z) = L(x,z * (y \ z),z). L(x,y * (z \ y),y) = L(x,z \ 1,y). x != L(y,z \ 1,u) | R(y,u,z) = x. R(x,y,z) = L(x,y * (z \ y),y). L(x,y,y) != z | L(x,1 / y,1 / y) = z. L(R(x,y,y * z),1 / y,1 / y) = a(z,x,1 / y) \ x. x != L(y,z,u) \ 1 | y \ a(z,y,u) = x. a(x,y,z) \ a(u,a(x,y,z),w) = L(a(y,z,x \ 1),u,w). R(x,y,z) \ L(x,u,y) = x \ L(L(x,z,y),u,y). (x * (y \ (y \ 1))) / a(z,u,y * y) = x * R((y * y) \ 1,z,u). x != R(y,z,z * u) | L(y,u \ z,z) = x. L(x * x,y \ z,z) = y \ ((y / (x \ (x \ z))) * z). x \ ((x / (y \ (y \ z))) * z) = L(y * y,x \ z,z). (L(x,y,z) * u) * a(x,z,y) = x * L(u,z,K(x,y)). x \ ((x / (y \ (y \ z))) * z) != u | L(y * y,x,1 / z) = u. L(x * x,y,1 / z) = L(x * x,y \ z,z). L(x * x,y \ z,z) = L(x * x,y,1 / z). x != L(y,z,1 / u) | R(y,u,z) = x. R(x * x,y,z) = L(x * x,z \ y,y). L(x * x,y \ z,z) = R(x * x,z,y). (L(x,y,z) * u) * a(x,w,v5) != v6 | L(x,y,z) * (u * a(x,w,v5)) = v6. L(x,y,z) * (u * a(x,z,y)) = x * L(u,z,K(x,y)). a(x,y,z) \ u != w | a(z,x,y) \ u = w. a(x,y,z) \ (1 / a(u,y,w)) = R(y,z,x) \ L(y,u,w). a(x,y * y,z * y) \ x = L(x,y \ z,y * y). L(x,y * z,z * z) = L(x,z \ y,z * z). L(x,y \ z,y * y) = L(x,z * y,y * y). L(x,y \ (z \ (y \ 1)),y * y) != u | R(x,y * y,y \ (y \ z)) = u. R(x,y * y,y \ (y \ z)) = L(x,(z \ (y \ 1)) * y,y * y). L(x,(y \ (z \ 1)) * z,z * z) = R(x,z * z,z \ (z \ y)). L(x \ y,z,u) = (y * L(y \ x,z,u)) \ y. (x * L(x \ y,z,u)) \ x = L(y \ x,z,u). ((x * y) / (x * z)) \ (x * z) = x * ((y / z) \ z). ((x * y) / (x * (y * z))) \ (x * (y * z)) != u | (x * (y * z)) / (L(z,y,x) \ 1) = u. (x * (y * z)) / (L(z,y,x) \ 1) = x * ((y / (y * z)) \ (y * z)). a(x,y,z) \ (1 / a(x,u,w)) != v5 | R(x,y,z) \ L(x,w,u) = v5. R(x,y,z) \ L(x,u,y) = R(y,z,x) \ L(y,x,u). L(R(x,T(y,z),K(y,z) * T(u,y)),1 / T(y,z),1 / T(y,z)) = a(u / y,x,1 / T(y,z)) \ x. a(x,y,a(x,z,u) * (L(x,u,z) * (w \ x))) = a(y,w,x \ 1). x * y != (z * u) * (L(w,u,z) * v5) | T(x,y) = y \ ((z * (u * L(w,z * u,v5))) * v5). T(T(L(x,1 / y,1 / z) * u,z \ (y \ 1)),(1 / z) * (1 / y)) = ((1 / z) * (1 / y)) \ (((1 / z) * ((1 / y) * L(x,(1 / z) * (1 / y),u))) * u). ((1 / x) * (1 / y)) \ (((1 / x) * ((1 / y) * L(z,(1 / x) * (1 / y),u))) * u) = T(T(L(z,1 / y,1 / x) * u,x \ (y \ 1)),(1 / x) * (1 / y)). L(x,(y \ (z \ 1)) * u,w) != v5 | L(x,(z * y) \ u,w) = v5. L(x,(y * z) \ y,y * y) = R(x,y * y,y \ (y \ z)). R(x,y * y,y \ (y \ z)) = L(x,(y * z) \ y,y * y). x != L(y,(z * u) \ z,w) | R(y,w,u) = x. R(x,y * y,z) = R(x,y * y,y \ (y \ z)). R(x,y * y,y \ (y \ z)) = R(x,y * y,z). L(x,(y \ z) \ y,y * y) = R(x,y * y,z). L(x,(y \ z) \ u,w) != v5 | L(x,(z \ y) * u,w) = v5. L(x,(y \ z) * z,z * z) = R(x,z * z,y). L(x,y \ z,z * z) = R(x,z * z,z * y). R(x,y * y,y * z) = L(x,z \ y,y * y). L(x,(y \ z) * z,u) != w | L(x,z * (z / y),u) = w. L(x,y * (y / z),y * y) = R(x,y * y,z). R(x,y * z,y * u) != w | R(x,z * y,u * y) = w. R(x,y * y,z * y) = L(x,z \ y,y * y). (x * (y * z)) / (L(z,y,x) \ 1) = x * (y * ((1 / z) \ z)). (x * y) \ (x * (y * ((1 / z) \ z))) = (1 / L(z,y,x)) \ L(z,y,x). L(L(L(x,y \ z,z),y,z \ 1),z,z) = L(x,y * z,z \ (z \ 1)). (L(x,y,z) * (a(x,z,y) \ u)) \ (x * u) = a(x,z,y) * a(z,y,x). a(x,y * a(z,u,x),K(z,u)) \ (y / a(z,u,x)) = a(z,u,x) \ y. (x \ (x \ y)) / a(z,u,x * x) = y * R((x * x) \ 1,z,u). a(x,y,z * z) \ (z \ (z \ u)) = u * R((z * z) \ 1,x,y). a(x,y,z * z) \ (z \ (z \ u)) = u * R(z \ (z \ 1),x,y). a(x,y,z * z) \ (z \ (z \ u)) != w | u / R(z * z,x,y) = w. x / R(y * y,z,u) = x * R(y \ (y \ 1),z,u). x * R(y \ (y \ 1),z,u) = x / R(y * y,z,u). x * (x * (y / R(x * x,z,u))) = a(z,u,x * x) \ y. L((1 / x) \ x,y,z) = (1 / L(x,y,z)) \ L(x,y,z). (1 / L(x,y,z)) \ L(x,y,z) = L((1 / x) \ x,y,z). (1 / L(x,y,z)) \ L(x,y,z) != u | (a(z,y,x) / x) \ L(x,y,z) = u. (a(x,y,z) / z) \ L(z,y,x) = L((1 / z) \ z,y,x). T(L((1 / x) \ x,y,z),x) = L(x,y,z) * L(x,y,z). L(T((1 / x) \ x,x),y,z) = L(x,y,z) * L(x,y,z). L(x * x,y,z) = L(x,y,z) * L(x,y,z). L(x,y,z) * L(x,y,z) = L(x * x,y,z). L(x,y,z) * L(x,u,z) != w | x * L(L(x,u,z),y,z) = w. x * L(L(x,y,z),y,z) = L(x * x,y,z). x != L(y * y,z \ u,u) | R(y * y,u,z) = x. R(x * x,y,z) = x * L(L(x,z \ y,y),z \ y,y). x * L(L(x,y \ z,z),y \ z,z) = R(x * x,z,y). L(R(L(x,y \ z,z),z,y),z,z) = L(x,y * z,z \ (z \ 1)). L(L(R(x,y,z),z \ y,y),y,y) = L(x,z * y,y \ (y \ 1)). L(R(x,y,z),y \ (z \ y),y) = L(x,z * y,y \ (y \ 1)). L(R(x,y,z),(z \ y) * y,y) = L(x,z * y,y \ (y \ 1)). L(R(x,y,z),y * (z \ y),y) = L(x,z * y,y \ (y \ 1)). L(x,y * (z \ y),y) != u | R(x,y,z) = u. R(R(x,y,z),y,z) = L(x,z * y,y \ (y \ 1)). x != L(y,z,u \ (w \ 1)) | R(y,w * u,z) = x. R(x,y * y,z * y) = R(R(x,y,z),y,z). R(R(x,y,z),y,z) = R(x,y * y,z * y). x != R(y,z * z,u * z) | L(y,u \ z,z * z) = x. L(x,y \ z,z * z) = R(R(x,z,y),z,y). R(R(x,y,z),y,z) = L(x,z \ y,y * y). R(x,y,z) != u | x * a(y,z,x) = u. R(x,y,z) * a(y,z,R(x,y,z)) = L(x,z \ y,y * y). R(R(x,y,y / z),y,y / z) = L(x,z,y * y). x * (y * L(z,y \ x,x * x)) = (x * y) * R(z,x,y). R(L(x,y / z,z),z,z / y) = L(x,y,z * z). R(L(x,y * z,z),z,z / y) = L(x,y,z * z). L(L(x,y * z,z),y / z,z) = L(x,y,z * z). L(x,y / z,z) != u | L(x,y * z,z) = u. L(L(x,y * z,z),y * z,z) = L(x,y,z * z). x * L(x,y,z * z) = L(x * x,y * z,z). L(x * x,y * z,z) = x * L(x,y,z * z). L(x * x,y * z,z) != u | L(x * x,y,z) = u. L(x * x,y,z) = x * L(x,y,z * z). x * L(x,y,z * z) = L(x * x,y,z). x * y != L(x * x,z,u) | L(L(x,z,u),z,u) = y. L(L(x,y,z),y,z) = L(x,y,z * z). L(L(x,y,z),u,z) != w | a(x,z,u) \ L(x,y,z) = w. a(x,y,z) \ L(x,z,y) = L(x,z,y * y). R(x,y,z) \ L(x,z,y) = x \ L(x,z,y * y). x != y \ L(y,z,u) | y / R(y,u,z) = x. x / R(x,y * y,z) = R(x,y,z) \ L(x,z,y). R(x,y,z) \ L(x,z,y) = x / R(x,y * y,z). R(x,y,z) \ L(x,z,u) != w | R(z,x,y) \ L(z,u,x) = w. R(x,y,z) \ L(x,z,y) = y \ L(y,x,z * z). x / y != R(x,z,u) \ L(x,u,z) | a(x,z,u) * R(x,z,u) = y. a(x,y,z) * R(x,y,z) = R(x,y * y,z). R(x,y,z) * a(y,z,x) = L(x,z \ y,y * y). L(x,y \ z,z * z) = R(x,z,y) * a(z,y,x). L(x,y \ z,z * z) = R(x,z,y) * a(x,z,y). x != R(y,z,u) * a(y,w,v5) | a(y,z,u) * R(y,w,v5) = x. a(x,y,z) * R(x,y,z) = L(x,z \ y,y * y). L(x,y \ z,z * z) = a(x,z,y) * R(x,z,y). x != a(y,z,u) * R(y,z,u) | R(y,z * z,u) = x. R(x,y * y,z) = L(x,z \ y,y * y). L(x,y \ z,z * z) = R(x,z * z,y). L(x,y,z * z) != u | L(L(x,y,z),y,z) = u. L(L(x,y \ z,z),y \ z,z) = R(x,z * z,y). x * R(x,y * y,z) = R(x * x,y,z). x * R(x,y * (y * (y * y)),z) = R(x * x,y * y,z). x * (y * R(z,x * x,y)) = (x * y) * R(z,x,y). (L(x,y,z) * (a(x,z,y) \ u)) \ (x * u) = a(x,z,y) * a(x,z,y). a(x,y,K(z,u)) \ (u / a(z,y,x)) = a(z,y,x) \ u. a(x,y,K(z,u)) \ (u / a(x,z,y)) = a(x,z,y) \ u. a(x,y,K(z,u)) \ w != v5 | a(x,y,K(z,u)) * w = v5. a(x,y,K(z,u)) * (u / a(x,z,y)) = a(x,z,y) \ u. a(x,y,K(z,u)) * (u / w) != v5 | L(u,z,K(x,y)) / w = v5. L(x,y,K(z,u)) / a(z,y,u) = a(z,y,u) \ x. (L(L(x,y,z),y,z) * u) \ (x * u) = a(x,z,y) * a(x,z,y). (L(x,y,z * z) * u) \ (x * u) = a(x,z,y) * a(x,z,y). a(x,y * y,T(z,u)) = a(x,y,z) * a(x,y,z). a(x,y,T(z,K(u,w))) != v5 | a(x,y,z) = v5. a(x,y * y,z) = a(x,y,z) * a(x,y,z). a(x,y,z) * a(x,y,z) = a(x,y * y,z). T(x,(a(y,z,u) \ (a(y,z,u) \ 1)) * w) = T(x,a(y,z * z,u) \ w). a(x,y * y,z) * u = a(x,y,z) * (a(x,y,z) * u). a(x,y,z) * (a(x,y,z) * u) = a(x,y * y,z) * u. (x * a(y,z,u)) * a(y,z,u) = x * a(y,z * z,u). (x * ((x * y) * R(z,x,y))) / T(x * (x * y),L(z,x,y)) = L(z,x,x). R(x,y,L(z * u,z,u)) = R(x,y,u * ((((1 / z) * u) \ 1) * u)). R(x,y,L(z * u,z,u)) = R(x,y,u * (u * ((1 / z) \ (1 / u)))). R(x,y,L(z * u,z,u)) = R(x,y,(1 / z) \ ((u \ 1) \ 1)). x != R(y,z,u \ w) | L(y,w \ u,z) = x. L(x,((y \ 1) \ 1) \ (1 / z),u) = R(x,u,L(z * y,z,y)). R(x,y,L(z * u,z,u)) = L(x,((u \ 1) \ 1) \ (1 / z),y). R(x,y,L(z * u,z,u)) = L(x,1 / (z * u),y). x != L(y,1 / z,u) | R(y,u,z) = x. R(x,y,z * u) = R(x,y,L(z * u,z,u)). R(x,y,L(z * u,z,u)) = R(x,y,z * u). T(x,(a(y,z,u) \ a(y,z,u \ 1)) * w) = T(x,a(y,z * z,u) \ w). (x * ((x * y) * R(z,x,y))) / T(x * (x * y),z) = L(z,x,x). T(x,(R(y,z,u) \ L(y,u,z)) * w) = T(x,a(y,z * z,u) \ w). x \ (L(x,y * (y / z),y * y) * z) = ((y * y) * (((y * y) \ z) / x)) * x. x \ (R(x,y * y,z) * z) = ((y * y) * (((y * y) \ z) / x)) * x. a(x,y * y,z) * z = ((y * y) * (((y * y) \ z) / x)) * x. ((x * x) * (((x * x) \ y) / z)) * z != u | R(y,z,x * x) = u. a(x,y,T(z,u)) * ((x * x) * T(a(x,y,z),u)) = a(x,y,z) * (x * R(x,y,z)). a(x,y,T(z,u)) * ((x * x) * a(x,y,T(z,u))) = a(x,y,z) * (x * R(x,y,z)). a(x,y,T(z,u)) * (x * R(x,y,T(z,u))) = a(x,y,z) * (x * R(x,y,z)). a(x,y,z) * (x * u) != w | R(x,y,z) * u = w. R(x,y,T(z,u)) * R(x,y,T(z,u)) = a(x,y,z) * (x * R(x,y,z)). x != a(y,z,u) * (y * w) | R(y,z,u) * w = x. R(x,y,z) * R(x,y,z) = R(x,y,T(z,u)) * R(x,y,T(z,u)). R(x,y,T(z,u)) * R(x,y,T(z,u)) = R(x,y,z) * R(x,y,z). (x * y) \ ((x \ (y \ (x \ y))) \ ((y / x) * z)) = L(z,x * y,x * ((x \ y) \ y)). (x * y) \ ((x * T(x,y)) * ((y / x) * z)) = L(z,x * y,x * ((x \ y) \ y)). (x * y) \ (x * ((y * (z * x)) / x)) = L(z,x * y,x * ((x \ y) \ y)). L(x,y * z,y * ((y \ z) \ z)) = (y * z) \ (y * ((z * (x * y)) / y)). x != (y * z) \ (y * ((z * (u * w)) / w)) | L(L(u,z,w),z,y) = x. L(L(x,y,z),y,z) = L(x,z * y,z * ((z \ y) \ y)). L(x,y * z,y * ((y \ z) \ z)) = L(L(x,z,y),z,y). L(x,y,z * ((u \ w) \ w)) != v5 | L(x,y,z * (w * (u / w))) = v5. L(x,y * z,y * (z * (y / z))) = L(L(x,z,y),z,y). L(x,y,z * (u * (w / u))) != v5 | L(x,y,z * T(w,u)) = v5. L(x,y * z,y * T(y,z)) = L(L(x,z,y),z,y). x \ (y \ (y \ (y \ (y \ ((y * (y * (x * (y * y)))) * z))))) = R(z,y * (y * (y * y)),x). x \ (y \ (y \ (y * (y * ((x * (y * y)) * ((y * y) \ z)))))) = R(z,y * (y * (y * y)),x). x \ ((x * (y * y)) * ((y * y) \ z)) = R(z,y * (y * (y * y)),x). x \ ((x * (y * y)) * z) != u | ((y * y) * (z / x)) * x = u. ((x * x) * (((x * x) \ y) / z)) * z = R(y,x * (x * (x * x)),z). R(x,y,z * z) = R(x,z * (z * (z * z)),y). R(x,y * (y * (y * y)),z) = R(x,z,y * y). x * R(x,y,z * z) = R(x * x,z * z,y). R(x * x,y * y,z) = x * R(x,z,y * y). L(L(x,T(y \ 1,z) \ u,z \ (y \ z)),(y * z) \ z,(y * z) \ z) = a(u,x,(y * z) \ z) \ x. L(R(x,y,T(K(y,z) * T(u,y),z)),1 / T(y,z),1 / T(y,z)) = a(u / y,x,1 / T(y,z)) \ x. L(L(x,T(1 \ y,z) * u,z \ (y \ z)),(y * z) \ z,(y * z) \ z) = a(u,x,(y * z) \ z) \ x. L(R(x,y,K(y,z) * T(T(u,y),z)),1 / T(y,z),1 / T(y,z)) = a(u / y,x,1 / T(y,z)) \ x. L(L(x,T(y,z) * u,z \ (y \ z)),(y * z) \ z,(y * z) \ z) = a(u,x,(y * z) \ z) \ x. L(L(x,y * z,T(y,u) \ 1),(y * u) \ u,(y * u) \ u) = a(z,x,(y * u) \ u) \ x. L(R(x,T(y,z),y * u),(y * z) \ z,(y * z) \ z) = a(u,x,(y * z) \ z) \ x. L(R(x,y,T(y * z,u)),(y * u) \ u,(y * u) \ u) = a(z,x,(y * u) \ u) \ x. L(x,y,(z * u) \ u) != w | L(x,y,u \ (z \ u)) = w. L(R(x,y,T(y * z,u)),(y * u) \ u,u \ (y \ u)) = a(z,x,(y * u) \ u) \ x. L(x,y \ z,z \ (u \ z)) != w | L(x,z / y,u \ 1) = w. L(R(x,y,T(y * z,u)),u / (y * u),y \ 1) = a(z,x,(y * u) \ u) \ x. L(R(x,y,T(y * z,u)),u \ (u / y),y \ 1) = a(z,x,(y * u) \ u) \ x. L(x,y,z \ 1) != u | R(x,z,y) = u. R(R(x,y,T(y * z,u)),y,u \ (u / y)) = a(z,x,(y * u) \ u) \ x. L(R(x,y,T(y * z,u)),(u / y) \ u,y) = a(z,x,(y * u) \ u) \ x. L(R(x,y,T(y * z,u)),y,y) = a(z,x,(y * u) \ u) \ x. R(x,y,T(y * z,u) * y) = a(z,x,(y * u) \ u) \ x. R(x,y,z * y) != u | L(x,z \ y,y) = u. L(x,T(y * z,u) \ y,y) = a(z,x,(y * u) \ u) \ x. ((a(x,y,z \ 1) * x) * (u * a(x,y,z))) / a(x,y,z) = (1 / a(x,y,z)) \ ((a(x,y,z) \ L(x,z,y)) * u). (R(x,y,z \ 1) * (u * a(x,y,z))) / a(x,y,z) = (1 / a(x,y,z)) \ ((a(x,y,z) \ L(x,z,y)) * u). (L(x,y,z) * (u * a(x,z,y))) / a(x,z,y) = (1 / a(x,z,y)) \ ((a(x,z,y) \ L(x,y,z)) * u). (1 / a(x,y,z)) \ ((a(x,y,z) \ L(x,z,y)) * u) = (L(x,z,y) * (u * a(x,y,z))) / a(x,y,z). (1 / a(x,y,z)) \ ((a(x,y,z) \ L(x,z,y)) * u) = (x * L(u,y,K(x,z))) / a(x,y,z). x != (y * z) / a(y,u,w) | y * (z / a(y,u,w)) = x. x * (L(y,z,K(x,u)) / a(x,z,u)) = (1 / a(x,z,u)) \ ((a(x,z,u) \ L(x,u,z)) * y). (1 / a(x,y,z)) \ ((a(x,y,z) \ L(x,z,y)) * u) = x * (L(u,y,K(x,z)) / a(x,y,z)). (1 / a(x,y,z)) \ ((a(x,y,z) \ L(x,z,y)) * u) = x * (a(x,y,z) \ u). x != y * (a(y,z,u) \ w) | L(y,u,z) * w = x. L(x,y,z) * u = (1 / a(x,z,y)) \ ((a(x,z,y) \ L(x,y,z)) * u). (1 / a(x,y,z)) \ ((a(x,y,z) \ L(x,z,y)) * u) = L(x,z,y) * u. a(x,y,z \ 1) \ ((a(x,y,z) \ L(x,z,y)) * u) = L(x,z,y) * u. a(x,y,z \ 1) \ u != w | a(x,y,z) * u = w. a(x,y,z) * ((a(x,y,z) \ L(x,z,y)) * u) = L(x,z,y) * u. ((K(x,T(y,z)) * u) * w) \ ((K(x,T(y,z)) * u) * (w * v5)) = L(L(v5,w,K(x,y) * u),(K(x,y) * u) * w,K(x,K(y,z))). L(L(x,y,K(z,u) * w),(K(z,u) * w) * y,K(z,K(u,v5))) = ((K(z,T(u,v5)) * w) * y) \ ((K(z,T(u,v5)) * w) * (y * x)). L(x,y,K(z,T(u,w)) * v5) = L(L(x,y,K(z,u) * v5),(K(z,u) * v5) * y,K(z,K(u,w))). L(L(x,y,K(z,u) * w),(K(z,u) * w) * y,K(z,K(u,v5))) = L(x,y,K(z,T(u,v5)) * w). L(x,y,K(z,u) * w) = L(x,y,K(z,T(u,v5)) * w). L(x,y,K(z,T(u,w)) * v5) = L(x,y,K(z,u) * v5). L(x,y,(z * T(z,T(u,w))) \ v5) = L(x,y,K(z,u) * ((z * z) \ v5)). L(x,y,(z * T(z,u)) \ w) != v5 | L(x,y,z \ (T(z,u) \ w)) = v5. L(x,y,z \ (T(z,T(u,w)) \ v5)) = L(x,y,K(z,u) * ((z * z) \ v5)). L(x,y,z \ (T(z,T(u,w)) \ v5)) = L(x,y,(z * T(z,u)) \ v5). L(x,y,z \ (T(z,u) \ w)) = L(x,y,z \ (T(z,T(u,v5)) \ w)). L(x,y,z \ (T(z,T(u,w)) \ v5)) = L(x,y,z \ (T(z,u) \ v5)). L(x,y,z \ (T(z,T(u,w)) \ (u \ 1))) != v5 | L(x,y,((w \ (z \ w)) * (1 / u)) / T(z,w)) = v5. L(x,y,((z \ (u \ z)) * (1 / w)) / T(u,z)) = L(x,y,u \ (T(u,w) \ (w \ 1))). L(x,y,z \ (T(z,u) \ (u \ 1))) = L(x,y,((w \ (z \ w)) * (1 / u)) / T(z,w)). L(x,y,z \ (u \ (z \ 1))) = L(x,y,((w \ (z \ w)) * (1 / u)) / T(z,w)). L(x,y,((z \ (u \ z)) * (1 / w)) / T(u,z)) = L(x,y,u \ (w \ (u \ 1))). L(x,y,T(z,u) \ ((1 / w) / T(z,u))) = L(x,y,z \ (w \ (z \ 1))). L(x,y,T(z,u) \ (w \ (T(z,u) \ 1))) = L(x,y,z \ (w \ (z \ 1))). L(x,T(1 / y,z) \ 1,T(y,z) \ (u \ (T(y,z) \ 1))) != w | R(x,u,T(1 / y,z) \ 1) = w. R(x,y,T(1 / z,u) \ 1) = L(x,T(1 / z,u) \ 1,z \ (y \ (z \ 1))). L(x,T(1 / y,z) \ 1,y \ (u \ (y \ 1))) = R(x,u,T(1 / y,z) \ 1). L(x,T(y,z) \ 1,u) != w | L(x,y \ 1,T(u,z)) = w. L(x,(1 / y) \ 1,T(y \ (z \ (y \ 1)),u)) = R(x,z,T(1 / y,u) \ 1). L(x,y,T(y \ (z \ (y \ 1)),u)) = R(x,z,T(1 / y,u) \ 1). L(x,y,T(y \ (z \ (y \ 1)),u * w)) = R(x,z,T(1 / y,w \ u) \ 1). L(x,y,T(z \ (u \ (z \ 1)),w)) != v5 | L(x,y,T(z * (u * z),w) \ 1) = v5. L(x,y,T(y * (z * y),u * w) \ 1) = R(x,z,T(1 / y,w \ u) \ 1). L(x,y,T(y * z,u) \ 1) != w | R(x,y \ z,T(y,u)) = w. R(x,y \ (z * y),T(y,u * w)) = R(x,z,T(1 / y,w \ u) \ 1). R(x,T(y,z),T(z,u * w)) = R(x,y,T(1 / z,w \ u) \ 1). R(x,y,T(T(z,u * w),z)) = R(x,y,T(1 / z,w \ u) \ 1). R(x,y,T(z,u * w)) = R(x,y,T(1 / z,w \ u) \ 1). R(x,y,T(1 / z,u \ w) \ 1) = R(x,y,T(z,w * u)). R(x,y,T(1 / z,u) \ w) != v5 | R(x,y,T(z,u) * w) = v5. R(x,y,T(z,u \ w) * 1) = R(x,y,T(z,w * u)). R(x,y,T(z,u \ w)) = R(x,y,T(z,w * u)). R(x,y \ T(1 / y,z),T(u,y \ (z \ (y \ 1)))) != w | R(x,((y * z) \ 1) * ((y / z) \ 1),u) = w. R(x,((y * z) \ 1) * ((y / z) \ 1),u) = R(x,y \ T(1 / y,z),T(u,(z \ (y \ 1)) * y)). R(x,y \ T(1 / y,z),T(u,(z \ (y \ 1)) * y)) = R(x,((y * z) \ 1) * ((y / z) \ 1),u). R(x,y \ T(1 / y,z),T(u,(y * z) \ y)) = R(x,((y * z) \ 1) * ((y / z) \ 1),u). R(x,y \ T(1 / y,z),T(u,z \ 1)) = R(x,((y * z) \ 1) * ((y / z) \ 1),u). R(x,((y * z) \ 1) * ((y / z) \ 1),u) = R(x,y \ T(1 / y,z),T(u,z \ 1)). x != R(y,z,T(u,w \ 1)) | R(y,z,T(u,w)) = x. R(x,y \ T(1 / y,z),T(u,z)) = R(x,((y * z) \ 1) * ((y / z) \ 1),u). R(x,((y * z) \ 1) * ((y / z) \ 1),u) = R(x,y \ T(1 / y,z),T(u,z)). x != R(y,z \ T(1 / u,w),v5) | R(y,z \ (T(u,w) \ 1),v5) = x. R(x,y \ (T(y,z) \ 1),T(u,z)) = R(x,((y * z) \ 1) * ((y / z) \ 1),u). R(x,((y * z) \ 1) * ((y / z) \ 1),u) = R(x,y \ (T(y,z) \ 1),T(u,z)). R(x,y * (z \ (1 / (z * y))),u) = R(x,z \ (T(z,y) \ 1),T(u,y)). R(x,y * (z \ (1 / (z * y))),y * z) != u | L(x,y * z,y \ (y \ 1)) = u. L(x,y * z,y \ (y \ 1)) = R(x,z \ (T(z,y) \ 1),T(y * z,y)). R(x,y \ (T(y,z) \ 1),T(z * y,z)) = L(x,z * y,z \ (z \ 1)). R(x,y \ (T(y,z) \ 1),y * z) = L(x,z * y,z \ (z \ 1)). R(x,y \ z,u) != w | L(x,u,z \ y) = w. L(x,y * z,(T(y,z) \ 1) \ y) = L(x,z * y,z \ (z \ 1)). L(x,y * z,y * T(y,z)) = L(x,z * y,z \ (z \ 1)). L(x,y * z,y \ (y \ 1)) = L(x,z * y,z * T(z,y)). L(x,y,z \ (u \ 1)) != w | R(x,u * z,y) = w. R(x,y * y,y * z) = L(x,z * y,z * T(z,y)). R(x,y * y,y * z) != u | L(x,z \ y,y * y) = u. L(x,y \ z,z * z) = L(x,y * z,y * T(y,z)). x != L(y,z * u,z * T(z,u)) | L(L(y,u,z),u,z) = x. L(L(x,y,z),y,z) = L(x,z \ y,y * y). L(L(x,y,z),y,z) != u | L(x,y,z * z) = u. L(x,y,z * z) = L(x,z \ y,y * y). L(x,y \ z,z * z) = L(x,z,y * y). L(x,y \ z,z * z) != u | R(x,z * z,y) = u. R(x,y * y,z) = L(x,y,z * z). x * y != R(z,u * u,w) | x \ L(z,u,w * w) = y. x \ L(x,y,z * z) = a(z,x,y * y). a(x,y,z * z) = y \ L(y,z,x * x). x \ L(x,y,z * z) = a(x,y * y,z). a(x,y * y,z) = x \ L(x,y,z * z). x * L(x,y,z * z) = R(x * x,y,z). x != y \ L(y,z,u * u) | R(z,y,u) \ L(z,u,y) = x. R(x,y,z) \ L(x,z,y) = a(y,x * x,z). x * L(x,y,z * z) != u | L(x * x,y,z) = u. L(x * x,y,z) = R(x * x,y,z). R(x * x,y,z) = L(x * x,y,z). L(x * x,y,z) * (y * z) = ((x * x) * y) * z. x \ (x \ (y * L(x * x,z,u))) = y * a(z,u,x * x). x * (x * (y / L(x * x,z,u))) = a(z,u,x * x) \ y. R(x,y,z) \ L(x,z,y) != u | x \ L(x,z,y * y) = u. x \ L(x,y,z * z) = a(z,x * x,y). T(x,a(y,z * z,u) * w) = T(x,a(z,y * y,u) \ w). T(x,a(y,z * z,u) \ w) = T(x,a(z,y * y,u) * w). x \ L(x,y,z * z) != u | a(z,x,y * y) = u. a(x,y,z * z) = a(x,y * y,z). a(x,y * y,z) = a(x,y,z * z). x != a(y,z,(u * u) * w) | a(y,z,u * (u * w)) = x. a(x,y,z * (z * (z * z))) = a(x,y * y,z * z). a(x,y * y,z * z) = a(x,y,z * (z * (z * z))). a(x,(y * y) * (T(y,z) * T(y,z)),u) = a(x,y * T(y,z),u * u). x \ (x \ (y * L(x * x,z,u))) != w | a(z,x * x,u) \ y = w. a(x,y * y,z) \ u = u * a(x,z,y * y). x != a(y,z * z,u) \ 1 | a(y,u,z * z) = x. a(x,y,z * z) = a(x,z * z,y \ 1). a(x,y * y,z \ 1) = a(x,z,y * y). x != a(y,z,u * u) | z \ L(z,u,y * y) = x. x \ L(x,y,z * z) = a(z,y * y,x \ 1). a(x,y * y,z \ 1) = z \ L(z,y,x * x). L(x,y * y,z) = L(x,y,z * z). x != L(y,z,u * u) | R(y,z * z,u) = x. R(x,y * y,z) = L(x,y * y,z). x != L(y,z,u * u) | a(y,u,z) \ L(y,z,u) = x. a(x,y,z) \ L(x,z,y) = L(x,z * z,y). (x * x) * (y * L(z,x * x,y)) = ((x * x) * y) * z. x * (y * L(z,x * x,y)) = (x * y) * R(z,x,y). T(x,a(y,z,u) * (a(y,z,u) * (w * L(y,u * u,z)))) = T(x,w * (a(y,z,u) * L(y,u,z))). a(x,y,z) * (L(x,z * z,y) * u) = L(x,z,y) * u. T((x * x) * (y * L(z,x * x,y)),y * L(z,x * x,y)) = x * ((x * y) * R(z,x,y)). T(x,L(y,z,u) * w) = T(x,L(y,z * z,u) * (a(y,u,z) * w)). T(x,L(y,z * z,u) * (a(y,u,z) * w)) = T(x,L(y,z,u) * w). x * (x * (y / L(x * x,z,u))) != w | y * a(z,x * x,u) = w. x * a(y,z * z,u) = a(y,u,z * z) \ x. a(x,y,z * z) \ u = u * a(x,z * z,y). T(x,y * a(z,u,w * w)) = T(x,a(w,z * z,u) * y). T(x,a(y,z * z,u) * w) = T(x,w * a(z,u,y * y)). a(x,(y * y) * (y * y),z) = a(x,y * T(y,u),z * z). a(x,y * (y * (y * y)),z) = a(x,y * T(y,u),z * z). a(x,y * T(y,z),u * u) = a(x,y * (y * (y * y)),u). x != a(y,z,u) | a(u,y,z) = x. a(x,y,z * (z * (z * z))) = a(y,z * T(z,u),x * x). a(x,y * T(y,z),u * u) = a(u,x,y * (y * (y * y))). a(x,y * T(y,z),u * u) != w | a(x,y * (y * (y * y)),u) = w. T(((x * x) * y) * z,y * L(z,x * x,y)) = x * ((x * y) * R(z,x,y)). T(x,a(y,z * z,u) * (w * L(y,u * u,z))) = T(x,w * (a(y,z,u) * L(y,u,z))). T(x,a(y,z * z,u) * (w * L(y,u * u,z))) = T(x,w * y). L(x,(1 / T(y,K(z,u))) * (K(z,u) / w),(1 / T(y,K(z,u))) \ 1) = R(x,T(y,K(z,u)),((1 / w) \ (1 / y)) * K(z,u)). x != R(y,z,(u \ (1 / w)) * v5) | R(y,z,(w * u) \ v5) = x. R(x,T(y,K(z,u)),(y * (1 / w)) \ K(z,u)) = L(x,(1 / T(y,K(z,u))) * (K(z,u) / w),(1 / T(y,K(z,u))) \ 1). L(x,(1 / T(y,K(z,u))) * (K(z,u) / w),(1 / T(y,K(z,u))) \ 1) = R(x,T(y,K(z,u)),(y * (1 / w)) \ K(z,u)). x != R(y,z,(u * (1 / w)) \ v5) | R(y,z,(w / u) * v5) = x. R(x,T(y,K(z,u)),(w / y) * K(z,u)) = L(x,(1 / T(y,K(z,u))) * (K(z,u) / w),(1 / T(y,K(z,u))) \ 1). L(x,(1 / T(y,K(z,u))) * (K(z,u) / w),(1 / T(y,K(z,u))) \ 1) = R(x,T(y,K(z,u)),(w / y) * K(z,u)). x != R(y,T(z,u),w) | R(y,z,T(w,u)) = x. R(x,y,T((z / y) * K(u,w),K(u,w))) = L(x,(1 / T(y,K(u,w))) * (K(u,w) / z),(1 / T(y,K(u,w))) \ 1). L(x,(1 / T(y,K(z,u))) * (K(z,u) / w),(1 / T(y,K(z,u))) \ 1) = R(x,y,T((w / y) * K(z,u),K(z,u))). L(x,(1 / T(y,K(z,u))) * (K(z,u) / w),(1 / T(y,K(z,u))) \ 1) = R(x,y,K(z,u) * (w / y)). L(x,K(y,z) / (u / (w \ 1)),(1 / T(w,K(y,z))) \ 1) = R(x,w,K(y,z) * (u / w)). L(x,K(y,z) / (u / (w \ 1)),T(w,K(y,z))) = R(x,w,K(y,z) * (u / w)). L(x,K(y,z) / (u / (w \ 1)),w) = R(x,w,K(y,z) * (u / w)). L(x,y / (z / u),w) != v5 | L(x,y * (u / z),w) = v5. L(x,K(y,z) * ((u \ 1) / w),u) = R(x,u,K(y,z) * (w / u)). L(x,y * ((z \ 1) / u),w) != v5 | L(x,y / (u * z),w) = v5. L(x,K(y,z) / (u * w),w) = R(x,w,K(y,z) * (u / w)). R(x,y,K(z,u) * (w / y)) = L(x,K(z,u) / (w * y),y). L(x,(y * z) \ K(u,w),z) = R(x,z,K(u,w) * (y / z)). R(x,y,K(z,u) * (w / y)) = L(x,(w * y) \ K(z,u),y). x != L(y,(z * u) \ K(w,v5),v6) | L(y,u \ (z \ K(w,v5)),v6) = x. L(x,y \ (z \ K(u,w)),y) = R(x,y,K(u,w) * (z / y)). R(x,y,K(z,u) * (w / y)) = L(x,y \ (w \ K(z,u)),y). R(x,y,K(y,z) * (u / y)) != w | R(x,y,T(y,z) \ u) = w. R(x,y,T(y,z) \ u) = L(x,y \ (u \ K(y,z)),y). L(x,y \ (z \ K(y,u)),y) = R(x,y,T(y,u) \ z). L(x,y \ (z \ K(y,u)),y) != w | R(x,y,y \ z) = w. R(x,y,y \ z) = R(x,y,T(y,u) \ z). R(x,y,T(y,z) \ u) = R(x,y,y \ u). R(x,y,K(y,z) * u) = R(x,y,y \ (y * u)). R(x,y,y \ (y * z)) = R(x,y,K(y,u) * z). R(x,y,z) = R(x,y,K(y,u) * z). R(x,y,K(y,z) * u) = R(x,y,u). L(R(x,y,T(T(z,y),u)),1 / T(y,u),1 / T(y,u)) = a(z / y,x,1 / T(y,u)) \ x. L(R(x,y,T(z,u)),1 / T(y,u),1 / T(y,u)) = a(z / y,x,1 / T(y,u)) \ x. L(R(x,y,T(z,u)),T(y,u),T(y,u)) = a(z / y,x,1 / T(y,u)) \ x. L(R(x,y,T(z,u)),y,y) = a(z / y,x,1 / T(y,u)) \ x. R(x,y,T(z,u) * y) = a(z / y,x,1 / T(y,u)) \ x. a(x / y,z,1 / T(y,u)) \ z = R(z,y,T(x,u) * y). x != R(y,z,u * z) | L(y,u \ z,z) = x. L(x,T(y,z) \ u,u) = a(y / u,x,1 / T(u,z)) \ x. a(x / y,z,1 / T(y,u)) \ z = L(z,T(x,u) \ y,y). a(x / y,z,T(y,u) \ 1) \ z = L(z,T(x,u) \ y,y). a(x,y,z) \ u != w | a(y,z,x) \ u = w. a(x,T(y,z) \ 1,u / y) \ x = L(x,T(u,z) \ y,y). a(T(x,y),x / z,u) \ u = L(u,T(z,y) \ x,x). a(x,T(y,z),y / u) \ x = L(x,T(u,z) \ y,y). a(x,y,T(z \ y,u)) \ x = L(x,T(z,u) \ y,y). L(x,T(y \ z,u),z) = L(x,T(y,u) \ z,z). L(x,T(y,z),u) != w | L(x,y,T(u,z)) = w. L(x,y \ z,T(z,u)) = L(x,T(y,u) \ z,z). L(x,T(y,z) \ u,u) = L(x,y \ u,T(u,z)). L(x,T(y * z,u) \ y,y) != w | a(z,x,(y * u) \ u) \ x = w. a(x,y,(z * u) \ u) \ y = L(y,(z * x) \ z,T(z,u)). L(x,(y * z) \ y,T(y,u)) = a(z,x,(y * u) \ u) \ x. L(x,(y * z) \ y,u) != w | R(x,u,z) = w. R(x,T(y,z),u) = a(u,x,(y * z) \ z) \ x. a(x,y,(z * u) \ u) \ y = R(y,T(z,u),x). R(x,y,T(z,u)) = a(z,x,(y * u) \ u) \ x. a(x,y,(z * u) \ u) \ y = R(y,z,T(x,u)). a(x,y,z \ (u \ z)) \ y = R(y,u,T(x,z)). L(x,y,z \ (u \ z)) = R(x,u,T(y,z)). L(x * x,y,z) != u | L(x,y,z) * L(x,y,z) = u. L(x,y,z \ (u \ z)) * L(x,y,z \ (u \ z)) = R(x * x,u,T(y,z)). R(x,y,T(z,u)) * L(x,z,u \ (y \ u)) = R(x * x,y,T(z,u)). R(x,y,T(z,u)) * R(x,y,T(z,u)) = R(x * x,y,T(z,u)). R(x,y,T(z,u)) * R(x,y,T(z,u)) != w | R(x,y,z) * R(x,y,z) = w. R(x,y,z) * R(x,y,z) = R(x * x,y,T(z,u)). R(x * x,y,T(z,u)) = R(x,y,z) * R(x,y,z). R(x * x,y,z) = R(x,y,z) * R(x,y,z). R(x,y,z) * R(x,y,z) = R(x * x,y,z). x != R(y * y,z,u) | L(y * y,z,u) = x. L(x * x,y,z) = R(x,y,z) * R(x,y,z). R(x,y,z) * R(x,y,z) = L(x * x,y,z). R(x,y,z) \ (R(x * x,y,z) / x) = a(x,y,z). a(x,y,z) = R(x,y,z) \ (R(x * x,y,z) / x). T(L(x * x,y,z) * u,u) = u * (R(x,y,z) * R(x,y,z)). a(x,y * y,z) = R(x,y * y,z) \ ((x * R(x,z,y * y)) / x). R(x,y * y,z) \ ((x * R(x,z,y * y)) / x) = a(x,y * y,z). T(((x * x) * y) * z,y * z) = (y * z) * (R(x,y,z) * R(x,y,z)). (x * y) * (R(z,x,y) * R(z,x,y)) = T(((z * z) * x) * y,x * y). R(x,y * y,z) \ T(R(x,z,y * y),x) = a(x,y * y,z). R(x,y * y,z) \ R(x,z,y * y) = a(x,y * y,z). R(x,y,z) \ R(x,u,w) != v5 | a(x,y,z) \ a(x,u,w) = v5. a(x,y * y,z) \ a(x,z,y * y) = a(x,y * y,z). a(x,y * y,z) \ u != w | u * a(x,z,y * y) = w. a(x,y,z * z) * a(x,y,z * z) = a(x,z * z,y). a(x,y,z) * a(x,y,z) != u | a(x,y * y,z) = u. a(x,y * y,z * z) = a(x,z * z,y). a(x,y * y,z * z) != u | a(x,y,z * (z * (z * z))) = u. a(x,y,z * (z * (z * z))) = a(x,z * z,y). a(x,y,z * (z * (z * z))) != u | a(y,z * T(z,w),x * x) = u. a(x,y * T(y,z),u * u) = a(u,y * y,x). a(x,y,z * z) = a(x,z * T(z,u),y * y). a(x,y * T(y,z),u * u) = a(x,u,y * y). a(x,y * (y * (y * y)),z) = a(x,z,y * y). (x * y) * L(z * z,x,y) = T(((z * z) * x) * y,x * y). T(((x * x) * y) * z,y * z) = (y * z) * L(x * x,y,z). T(((x * x) * y) * z,y * z) != u | T(z,y) * (y * (x * x)) = u. T(x,y * (y * (a(z,u,w * w) \ (a(z,u,w * w) \ (a(z,u,w * w) \ (a(z,u,w * w) \ (a(z,u,w * w) \ (y * a(z,w * w,u))))))))) = T(x,(a(z,u,w * w) / y) * a(z,u,w * w)). ((1 / x) * (1 / y)) \ (((1 / x) * ((1 / y) * L(z,(1 / x) * (1 / y),u))) * u) = T(T(L(z,1 / y,x \ 1) * u,x \ (y \ 1)),(1 / x) * (1 / y)). ((1 / x) * (1 / y)) \ (((1 / x) * ((1 / y) * L(z,(1 / x) * (1 / y),u))) * u) = T(T(L(z,y,x) * u,x \ (y \ 1)),(1 / x) * (1 / y)). T(T(L(x,y,z) * u,z \ (y \ 1)),(1 / z) / y) = ((1 / z) * (1 / y)) \ (((1 / z) * ((1 / y) * L(x,(1 / z) * (1 / y),u))) * u). ((1 / x) * (1 / y)) \ (((1 / x) * ((1 / y) * L(z,(1 / x) * (1 / y),u))) * u) = T(T(L(z,y,x) * u,x \ (y \ 1)),(1 / x) / y). T(T(L(x,y,z) * u,z \ (y \ 1)),z \ (y \ 1)) = ((1 / z) * (1 / y)) \ (((1 / z) * ((1 / y) * L(x,(1 / z) * (1 / y),u))) * u). ((1 / x) * (1 / y)) \ (((1 / x) * ((1 / y) * L(z,(1 / x) * (1 / y),u))) * u) = T(T(L(z,y,x) * u,x \ (y \ 1)),x \ (y \ 1)). x != T(T(y,z),z) | y = x. L(x,y,z) * u = ((1 / z) * (1 / y)) \ (((1 / z) * ((1 / y) * L(x,(1 / z) * (1 / y),u))) * u). ((1 / x) * (1 / y)) \ (((1 / x) * ((1 / y) * L(z,(1 / x) * (1 / y),u))) * u) = L(z,y,x) * u. ((L(T(x,y),z,u) * w) * R(K(x,y),L(T(x,y),z,u),w)) * R(K(y,x),L(T(x,y),z,u),w) = (R(K(y,x),L(T(x,y),z,u),w) \ 1) \ (L(x,z,T(u,y)) * w). L(T(x,y),z,u) * w = (R(K(y,x),L(T(x,y),z,u),w) \ 1) \ (L(x,z,T(u,y)) * w). (R(K(x,y),L(T(y,x),z,u),w) \ 1) \ (L(y,z,T(u,x)) * w) = L(T(y,x),z,u) * w. (R(K(x,y),L(T(x,y),z,u),w) \ 1) \ (L(x,z,T(u,y)) * w) = L(T(x,y),z,u) * w. (K(x,L(y,L(T(x,y),z,u),w)) \ 1) \ (L(x,z,T(u,y)) * w) = L(T(x,y),z,u) * w. (K(x,L(y,z,T(x,y))) \ 1) \ (L(x,u,T(w,y)) * z) = L(T(x,y),u,w) * z. (K(x,L(y,z,x)) \ 1) \ (L(x,u,T(w,y)) * z) = L(T(x,y),u,w) * z. (K(x,y) \ 1) \ (L(x,z,T(u,y)) * w) = L(T(x,y),z,u) * w. K(x,y) * (L(x,z,T(u,y)) * w) = L(T(x,y),z,u) * w. T(x,L(T(y,z),u,w) * v5) = T(x,L(T(y,y \ z),u,w) * v5). T(x,L(T(y,y \ z),u,w) * v5) = T(x,L(T(y,z),u,w) * v5). T(x,L(T(y,y \ z),u,w) * (T(v5,y) * z)) != v6 | T(x,v5 * (z / (1 / L(y,u,w)))) = v6. T(x,y * (z / (1 / L(u,w,v5)))) = T(x,L(T(u,z),w,v5) * (T(y,u) * z)). T(x,L(T(y,z),u,w) * (T(v5,y) * z)) = T(x,v5 * (z / (1 / L(y,u,w)))). T(x,L(T(y,z),u,w) * (v5 * z)) != v6 | T(x,z * (L(y,u,w) * T(v5,z))) = v6. T(x,y * (L(z,u,w) * T(T(v5,z),y))) = T(x,v5 * (y / (1 / L(z,u,w)))). T(x,y * (z * L(u,w,v5))) = T(x,z * (L(u,w,v5) * T(T(y,u),z))). T(x,y * (L(z,u,w) * T(T(v5,z),y))) = T(x,v5 * (y * L(z,u,w))). T(x,y * (y * (a(z,u,w * w) \ (a(z,u,w * w) \ (a(z,u,w * w) \ (a(z,u,w * w) \ ((y * a(z,w * w,u)) * a(z,w * w,u)))))))) = T(x,(a(z,u,w * w) / y) * a(z,u,w * w)). T(x,y * (y * (a(z,u,w * w) \ (a(z,u,w * w) \ (a(z,u,w * w) \ (a(z,u,w * w) \ (y * a(z,(w * w) * (w * w),u)))))))) = T(x,(a(z,u,w * w) / y) * a(z,u,w * w)). T(x,y * (y * (a(z,u,w * w) \ (a(z,u,w * w) \ (a(z,u,w * w) \ (a(z,u,w * w) \ (y * a(z,w * (w * (w * w)),u)))))))) = T(x,(a(z,u,w * w) / y) * a(z,u,w * w)). T(x,y * (y * (a(z,u,w * w) \ (a(z,u,w * w) \ (a(z,u,w * w) \ (a(z,u,w * w) \ (y * a(z,u,w * w)))))))) = T(x,(a(z,u,w * w) / y) * a(z,u,w * w)). T(x,y * (y * (a(z,u,w * w) \ (a(z,u,w * w) \ (a(z,u,w * w) \ T(y,a(z,u,w * w))))))) = T(x,(a(z,u,w * w) / y) * a(z,u,w * w)). T(x,y * (y * (a(z,u,w * w) \ (a(z,u,w * w) \ (a(z,u,w * w) \ L(y,w * w,K(z,u))))))) = T(x,(a(z,u,w * w) / y) * a(z,u,w * w)). T(x,y * (y * (a(z,u,w * w) \ (a(z,u,w * w) \ (a(z,u,w * w) \ y))))) = T(x,(a(z,u,w * w) / y) * a(z,u,w * w)). T(x,y * (y * (a(z,u,w * w) \ (a(z,u,w * w) \ (y * a(z,w * w,u)))))) = T(x,(a(z,u,w * w) / y) * a(z,u,w * w)). T(x,y * (y * (a(z,u,w * w) \ ((y * a(z,w * w,u)) * a(z,w * w,u))))) = T(x,(a(z,u,w * w) / y) * a(z,u,w * w)). T(x,y * (y * (a(z,u,w * w) \ (y * a(z,(w * w) * (w * w),u))))) = T(x,(a(z,u,w * w) / y) * a(z,u,w * w)). T(x,y * (y * (a(z,u,w * w) \ (y * a(z,w * (w * (w * w)),u))))) = T(x,(a(z,u,w * w) / y) * a(z,u,w * w)). T(x,y * (y * (a(z,u,w * w) \ (y * a(z,u,w * w))))) = T(x,(a(z,u,w * w) / y) * a(z,u,w * w)). T(x,y * (y * T(y,a(z,u,w * w)))) = T(x,(a(z,u,w * w) / y) * a(z,u,w * w)). T(x,(a(y,z,u * u) / w) * a(y,z,u * u)) = T(x,w * (w * T(w,a(y,z,u * u)))). T(x,(a(y,z,u * u) / w) * a(y,z,u * u)) = T(x,w * (w * L(w,u * u,K(y,z)))). x != T(y,z * (u * L(w,v5,K(v6,v7)))) | T(y,z * (u * w)) = x. T(x,y * (y * y)) = T(x,(a(z,u,w * w) / y) * a(z,u,w * w)). T(x,(a(y,z,u * u) / w) * a(y,z,u * u)) = T(x,w * (w * w)). T(x,y \ 1) = T(x,(a(z,u,w * w) / y) * a(z,u,w * w)). T(x,(a(y,z,u * u) / w) * a(y,z,u * u)) = T(x,w \ 1). L(T(x,y \ 1),y,y) = T(x,a(z,u,w * w) \ (a(z,u,w * w) \ y)). T(x,a(y,z,u * u) \ (a(y,z,u * u) \ w)) = L(T(x,w \ 1),w,w). x != L(T(y,z \ 1),z,z) | T(y,z) = x. T(x,y) = T(x,a(z,u,w * w) \ (a(z,u,w * w) \ y)). T(x,a(y,z,u * u) \ (a(y,z,u * u) \ w)) = T(x,w). T(x,a(y,z,u * u) \ (w * a(y,u * u,z))) = T(x,w). T(x,(y * a(z,u * u,w)) * a(z,u * u,w)) = T(x,y). T(x,y * a(z,(u * u) * (u * u),w)) = T(x,y). T(x,y * a(z,u * (u * (u * u)),w)) = T(x,y). T(x,y * a(z,u,w * w)) = T(x,y). T(x,L(y,z * z,u) * w) = T(x,y * w). T(x,y * a(z,u,w * w)) != v5 | T(x,a(w,z * z,u) * y) = v5. T(x,a(y,z * z,u) * w) = T(x,w). T(x,a(y,z * z,u) * (w * L(y,u * u,z))) != v5 | T(x,w * y) = v5. T(x,y * z) = T(x,y * L(z,u * u,w)). T(x,y * L(z,u * u,w)) = T(x,y * z). T(x,L(y,z * z,u) * (a(y,u,z) * w)) != v5 | T(x,L(y,z,u) * w) = v5. T(x,L(y,z,u) * w) = T(x,y * (a(y,u,z) * w)). T(x,y * (a(y,z,u) * w)) = T(x,L(y,u,z) * w). T(((x * x) * y) * z,y * L(z,x * x,y)) != u | x * ((x * y) * R(z,x,y)) = u. x * ((x * y) * R(z,x,y)) = T(((x * x) * y) * z,y * z). T(((x * x) * y) * z,y * z) = x * ((x * y) * R(z,x,y)). T(x,R(y,z,u) * w) = T(x,L(y,u,z) * w). T(x,R(y,z,u) * (T(w,y) * v5)) != v6 | T(x,w * (R(y,z,u) * v5)) = v6. T(x,y * (R(z,u,w) * v5)) = T(x,L(z,w,u) * (T(y,z) * v5)). T(x,L(y,z,u) * (T(w,y) * v5)) = T(x,w * (R(y,u,z) * v5)). T(x,y) * (y * (z * z)) = z * ((z * y) * R(x,z,y)). x * ((x * y) * R(z,x,y)) = T(z,y) * (y * (x * x)). x * ((x * y) * R(z,x,y)) = T(z,y) * (x * (x * y)). (T(x,y) * (z * (z * y))) / T(z * (z * y),x) = L(x,z,z). T(x,y) * K(x,z * (z * y)) = L(x,z,z). K(x,y) * T(x,z * (z * y)) = L(x,z,z). K(x,y) * T(y,z * (z * x)) = L(y,z,z). K(x,y) * T(y,z * (u * x)) != w | T(T(y,x),(x * z) * u) = w. T(T(x,y),(y * z) * z) = L(x,z,z). T(T(x,y),z * (z * y)) = L(x,z,z). T(x,y * (y * z)) = L(T(x,z),y,y). T(x,y * (y * (z * (u / y)))) != w | T(x,z * (u * y)) = w. T(x,y * (z * u)) = L(T(x,y * (z / u)),u,u). L(T(x,y * (z / u)),u,u) = T(x,y * (z * u)). T(x,y * (y * (L(T(z,y),u,u) \ u))) = T(x,y * (z \ (y * u))). L(T(x,y * (T(y,z) / u)),u,u) != w | T(x,y \ (T(y,z) \ u)) = w. T(x,y \ (T(y,z) \ u)) = T(x,y * (T(y,z) * u)). L(T(x,y * (y / z)),z,z) != u | T(x,y \ (y \ z)) = u. T(x,y \ (y \ z)) = T(x,y * (y * z)). x != T(y,z * (z * u)) | L(T(y,u),z,z) = x. L(T(x,y),z,z) = T(x,z \ (z \ y)). T(x,y \ (y \ z)) = L(T(x,z),y,y). T(x,(y * z) \ ((y * z) \ u)) != w | T(x,y \ (z \ (y \ (z \ u)))) = w. T(x,y \ (z \ (y \ (z \ u)))) = L(T(x,u),y * z,y * z). T(x,y \ z) = L(T(x,y * z),y,y). L(T(x,y * z),y,y) = T(x,y \ z). x != T(y,z \ (u \ (z / u))) | T(y,u * T(u,z)) = x. T(x,y * T(y,z)) = L(T(x,z * (y \ (z / y))),z,z). L(T(x,y * (z \ (y / z))),y,y) = T(x,z * T(z,y)). L(T(x,T(y,z) \ u),z,z) = T(x,z \ (y \ (z \ u))). L(L(x,y * z,y * z),y,y) = T(x,z * T(z,y)). T(x,L(y,z,u) * (T(w,y) * v5)) != v6 | T(x,w * (L(y,z,u) * v5)) = v6. T(x,y * (L(z,u,w) * v5)) = T(x,y * (R(z,w,u) * v5)). T(x,y * (R(z,u,w) * v5)) = T(x,y * (L(z,w,u) * v5)). T(x,y * (R(z,u,w) * T(T(v5,z),y))) != v6 | T(x,v5 * (y * R(z,u,w))) = v6. T(x,y * (z * R(u,w,v5))) = T(x,z * (L(u,v5,w) * T(T(y,u),z))). T(x,y * (L(z,u,w) * T(T(v5,z),y))) = T(x,v5 * (y * R(z,w,u))). T(x,y * (y * z)) != u | L(T(x,z),y,y) = u. L(T(x,L(T(y,z),u,u) \ u),z,z) = T(x,z * (y \ (z * u))). L(T(x,T(y,z) \ u),z,z) = T(x,z * (y \ (z * u))). L(T(x,T(y,z) \ u),z,z) != w | T(x,z \ (y \ (z \ u))) = w. T(x,y \ (z \ (y \ u))) = T(x,y * (z \ (y * u))). T(x,y \ (z \ (y \ (z \ u)))) != w | L(T(x,u),y * z,y * z) = w. L(T(x,y),z * u,z * u) = T(x,z * (u \ (z * (u \ y)))). T(x,y * (z \ (y * (z \ u)))) = L(T(x,u),y * z,y * z). T(x,y \ (z \ (y \ (z \ (y * (y * u)))))) != w | T(x,z \ (T(z,y) \ u)) = w. T(x,y \ (T(y,z) \ u)) = T(x,z * (y \ (z * (y \ (z * (z * u)))))). T(x,y * (z \ (y * (z \ (y * (y * u)))))) = T(x,z \ (T(z,y) \ u)). T(x,y * (z \ (y * (z \ u)))) != w | T(x,y * ((z \ (y / z)) * u)) = w. T(x,y * ((z \ (y / z)) * u)) = L(T(x,u),y * z,y * z). T(x,y * (L(z,u,w) * T(T(v5,z),y))) != v6 | T(x,v5 * (y * L(z,u,w))) = v6. T(x,y * (z * L(u,w,v5))) = T(x,y * (z * R(u,v5,w))). T(x,y * (z * R(u,w,v5))) = T(x,y * (z * L(u,v5,w))). T(x,y * ((z * u) * R(w,z,u))) != v5 | T(x,y * T((w * z) * u,w)) = v5. T(x,y * T((z * u) * w,z)) = T(x,y * ((u * w) * L(z,w,u))). T(x,y * T((z * u) * w,z)) = T(x,y * (u * (w * z))). T(x,y * L(((z * z) * u) * w,z,z)) = T(x,y * (u * (w * (z * z)))). T(x,y * ((z \ (y / z)) * (y * (y * u)))) = T(x,z \ (T(z,y) \ u)). T(x,y * ((z * (z * u)) * L(w,z,z))) = T(x,y * (u * (w * (z * z)))). T(x,y * ((z * (u * u)) * L(w,u,u))) = T(x,y * (z * (w * (u * u)))). T(x,y * (z * L(u,w,w))) != v5 | T(x,y * (z * u)) = v5. T(x,y * ((z * (u * u)) * w)) = T(x,y * (z * (w * (u * u)))). T(x,y * ((z * (u * u)) * w)) != v5 | T(x,y * (((z * u) * u) * w)) = v5. T(x,y * (((z * u) * u) * w)) = T(x,y * (z * (w * (u * u)))). T(x,y * (((z * u) * u) * w)) != v5 | T(x,u * (u * (T(z,y) * (y * w)))) = v5. T(x,y * (y * (T(z,u) * (u * w)))) = T(x,u * (z * (w * (y * y)))). L(T(x,T(y,z) * (z * u)),w,w) = T(x,z * (y * (u * (w * w)))). L(T(x,y * (z * u)),w,w) = T(x,y * (z * (u * (w * w)))). T(x,y * (z * (u * (w * w)))) = L(T(x,y * (z * u)),w,w). T(x,y * (z * (u * (u * w)))) = L(T(x,y * (z * w)),u,u). T(x,y * ((z \ (y / z)) * (y * (y * u)))) != w | T(x,z \ (T(z,y) \ u)) = w. T(x,y \ (T(y,z) \ u)) = L(T(x,z * ((y \ (z / y)) * u)),z,z). L(T(x,y * ((z \ (y / z)) * u)),y,y) = T(x,z \ (T(z,y) \ u)). L(L(T(x,y),z * u,z * u),z,z) = T(x,u \ (T(u,z) \ y)). L(L(x,y * z,y * z),y,y) != u | T(x,z * T(z,y)) = u. T(T(x,y),z * T(z,u)) = T(x,z \ (T(z,u) \ y)). x != T(y,z \ (T(z,u) \ w)) | T(y,z * (T(z,u) * w)) = x. T(x,y * (T(y,z) * u)) = T(T(x,u),y * T(y,z)). T(T(x,y),z * T(z,u)) = T(x,z * (T(z,u) * y)). T(T(x \ 1,y),z * T(z,u)) != w | T(T(x,z * T(z,u)) \ 1,y) = w. T(T(x,y * T(y,z)) \ 1,u) = T(x \ 1,y * (T(y,z) * u)). L(T(x \ 1,y * (T(y,z) * u)),y,y) = T(T(x,K(y,z)) \ 1,u). L(T(x,y * z),y,y) != u | T(x,y \ z) = u. T(x \ 1,y \ (T(y,z) * u)) = T(T(x,K(y,z)) \ 1,u). T(x \ 1,K(y,z) * u) = T(T(x,K(y,z)) \ 1,u). T(T(x,K(y,z)) \ 1,u) = T(x \ 1,K(y,z) * u). T(T(x \ 1,K(y,z) * u),K(y,z) * u) = L(x,y,K(z,u)) \ 1. x \ y != T(T(z \ y,u),u) | z = x. x = L(x,y,K(z,u)). L(x,y,K(z,u)) = x. L(x,y,T(z,u)) = L(x,y,z). a(x,y,K(z,u)) = 1. a(x,y,z) \ u = u / a(x,y,z). x / a(y,z,u) = a(y,z,u) \ x. T(x,a(y,z,u)) = x. K(x,y) * (z * u) = (K(x,y) * z) * u. (K(x,y) * z) * u = K(x,y) * (z * u). L(x,y,K(z,u)) != w | L(x,K(u,y),z) = w. L(x,K(y,z),u) = x. L(x,y,K(z,u)) != w | R(x,y,K(z,u)) = w. R(x,y,K(z,u)) = x. x * a(y,z,u) = a(y,z,u) * x. a(x,y,z) * u = u * a(x,y,z). T(x,L(y,z,u)) = T(x,y). L(x \ (K(y,z) * u),x,K(z,y)) != w | (K(z,y) * x) \ u = w. (K(x,y) * z) \ u = z \ (K(y,x) * u). x * y != L(z * x,u,K(w,v5)) | T(z,x) = y. T(a(x,y,z),u) = a(x,y,z). x * y != L(a(z,u,w) * v5,z,K(u,w)) | x \ (v5 * a(z,u,w)) = y. a(x,y,z) \ (u * a(x,y,z)) = u. x * y != L(z,u,K(w,v5)) | x \ z = y. x \ (a(y,z,u) * x) = a(y,z,u). L(x,y,K(z,u)) != w | x = w. (K(x,y) * z) / u = K(x,y) * (z / u). x * (y * K(z,u)) = (x * y) * K(z,u). (x * y) * K(z,u) = x * (y * K(z,u)). a(x,y,z) \ u = u * (a(x,y,z) \ 1). x * (a(y,z,u) \ 1) = a(y,z,u) \ x. x * (K(y,z) * u) = (x * K(y,z)) * u. (x * K(y,z)) * u = x * (K(y,z) * u). K(a(x,y,z),u) = 1. L(K(x,y),z,u) = K(x,y). a(x,y,z) / u = 1 / (a(x,y,z) \ u). 1 / (a(x,y,z) \ u) = a(x,y,z) / u. x * T(y,z) != T(u * T(y,z),y) | T(u,y \ 1) = x. T(x,a(y,z,u) \ 1) = x. T(x,a(y,z,u)) != w | x = w. x != a(y,z,u) \ w | x * a(y,z,u) = w. a(x,y,z) \ u != w | w * a(x,y,z) = u. a(x,y,z) * u != w | u * a(x,y,z) = w. (a(x,y,z) * u) * w = (u * a(x,y,z)) * w. (a(x,y,z) * u) * w != v5 | (u * a(x,y,z)) * w = v5. x \ (a(y,z,u) \ x) = a(y,z,u) \ 1. a(x,y,z) / (u \ 1) = u * a(x,y,z). a(x,y,z) / u = (1 / u) * a(x,y,z). (1 / x) * a(y,z,u) = a(y,z,u) / x. x \ a(y,z,u) = a(y,z,u) * (x \ 1). a(x,y,z) * (u \ 1) = u \ a(x,y,z). (a(x,y,z) / u) \ 1 = a(x,y,z) \ u. K(x,y) * ((z * K(x,y)) \ u) = z \ u. R(R(x,y,z),y * z,K(z,u)) != w | R(x,y,T(z,u)) = w. R(x,y,T(z,u)) = R(x,y,z). x \ (y * K(z,u)) = (x \ y) * K(z,u). K(a(x,y,z),u) * w = w. x \ y != T(z,u) | x * T(z,L(u,w,v5)) = y. x * T(y,L(x,z,u)) = y * x. T(x,L(y,z,u)) != w | T(x,R(y,z,u)) = w. T(x,R(y,z,u)) = T(x,y). x \ y != T(z,L(u,w,v5)) | x * T(z,u) = y. L(x,y,z) * T(u,x) = u * L(x,y,z). K(L(x,y,z),u) = K(x,u). L(K(x,(y \ z) \ u),u,y) != w | K(x,z \ (y * u)) = w. K(x,y \ (z * u)) = K(x,(z \ y) \ u). K(x,(y \ z) \ u) = K(x,z \ (y * u)). T(x,a(y,z,u) \ 1) != w | x = w. x * y != K(a(z,u,w),v5) * v6 | x \ v6 = y. (a(x,y,z) * u) \ w = (u * a(x,y,z)) \ w. R(x,y,z) / u = T(1 / (R(x,y,z) \ u),x). T(1 / (R(x,y,z) \ u),x) = R(x,y,z) / u. x \ R(y,z,u) = T((x / R(y,z,u)) \ 1,y). T((x / R(y,z,u)) \ 1,y) = x \ R(y,z,u). x / R(y,z,u) = T(R(y,z,u) \ x,y). T(R(x,y,z) \ u,x) = u / R(x,y,z). T(x,y) * (R(y,z,u) \ 1) = R(y,z,u) \ x. T(x,y) * R(y,z,u) = R(y,z,u) * x. x \ y != K(L(z,u,w),v5) | x * K(z,v5) = y. L(x,y,z) * K(x,u) = L(T(x,u),y,z). L(x,y,T(z,u)) != w | L(x,T(y,u),z) = w. L(x,T(y,z),u) = L(x,y,u). L(x,y,z * u) = L(x,y,u * z). L(x,y,T(z \ u,u)) != w | L(x,y,u / z) = w. L(x,y,z / u) = L(x,y,u \ z). L(x,y,z * u) = L(x,y,(1 / u) \ z). L(x,y,(1 / z) \ u) = L(x,y,u * z). ((x * y) * a(z,u,w)) / x = x * (y * (x \ a(z,u,w))). x * T(y * a(z,u,w),y) = (y * a(z,u,w)) * T(x,y). (x * a(y,z,u)) * T(w,x) = w * T(x * a(y,z,u),x). T(x \ L(x,y,z),u) = a(x \ 1,z,y). L(a(x,y,z),u,w) \ v5 = v5 * (L(a(x,y,z),u,w) \ 1). x * (L(a(y,z,u),w,v5) \ 1) = L(a(y,z,u),w,v5) \ x. L(x,y,T(z,u)) != w | L(x,y,z) = w. R(x,y,T(z,u)) != w | R(x,T(y,u),z) = w. R(x,T(y,z),u) = R(x,y,u). R(x,y,(z \ u) \ u) = R(x,y,z). L(x,y * z,u) = L(x,z * y,u). L(x,y * (z \ 1),u) = L(x,z \ y,u). R(x,L(T(y,z),u,w),v5) = R(x,L(y,u,w),v5). x * T(y,L(x,z,u)) != w | a(u,z,x) * (y * L(x,z,u)) = w. a(x,y,z) * (u * L(z,y,x)) = u * z. x * (L(x,y,z) \ u) = (u / L(x,y,z)) * x. (x / L(y,z,u)) * y = y * (L(y,z,u) \ x). x * a(y,z,u) = a(u \ 1,y,z) \ x. a(x \ 1,y,z) \ u = u * a(y,z,x). x / a(y,z,u) != w | x * a(z,u,y \ 1) = w. x * a(y,z,u \ 1) = a(u,y,z) \ x. x / a(y,z,u) != w | x * a(u \ 1,y,z) = w. x * a(y \ 1,z,u) = a(z,u,y) \ x. x / a(y,z,u) != w | x * (u \ L(u,z,y)) = w. x * (y \ L(y,z,u)) = a(u,z,y) \ x. x / a(y,z,u) != w | T(a(y,z,u) \ x,x) = w. T(a(x,y,z) \ u,u) = a(x,y,z) \ u. L(x,y,z) \ u = (x \ u) * a(z,y,x). (x \ y) * a(z,u,x) = L(x,u,z) \ y. x != (y * z) * a(z,u,w) | y * R(z,u,w) = x. x * R(y,z,u) = a(y,z,u) * (x * y). a(x,y,z) * (u * x) = u * R(x,y,z). x \ y != z * a(u,w,v5) | x * (a(u,w,v5) * z) = y. x * (a(y,z,u) * w) = x * (w * a(y,z,u)). x * y != (z \ L(u,w,v5)) * a(v5,w,u) | x \ (z \ u) = y. a(x,y,z) \ (u \ z) = u \ L(z,y,x). a(x,y,z) * u != w | a(y,z,x \ 1) \ u = w. a(x,y,z \ 1) \ u = u * a(z,x,y). a(x,y,z) * u != w | z * (L(z,y,x) \ u) = w. x * (L(x,y,z) \ u) = u * a(z,y,x). a(x,y,z) * u != w | (a(x,y,z) \ 1) \ u = w. (a(x,y,z) \ 1) \ u = u * a(x,y,z). x * y != a(z,u,w) * (w \ v5) | x \ (L(w,u,z) \ v5) = y. (x \ y) \ (L(x,z,u) \ y) = a(u,z,x). (a(x,y,z) * u) \ w != v5 | (u * a(x,y,z)) \ w = v5. x * (y * a(z,u,w)) != v5 | x * (a(z,u,w) * y) = v5. x != L(y,z,(u \ (u / w)) * v5) | L(y,z,w \ v5) = x. L(x,y,z \ u) = L(x,y,u * (w \ (w / z))). L(x,y,z * (u \ (u / w))) = L(x,y,w \ z). L(x,y,z * ((z \ u) * w)) = L(x,y,z \ (u * T(z * w,z))). L(x,y,z \ (u * T(z * w,z))) = L(x,y,z * ((z \ u) * w)). L(x,y \ z,u) = L(x,z * (1 / y),u). L(x,y * (1 / z),u) = L(x,z \ y,u). L(x,y * (z \ 1),u) != w | L(x,z \ y,u) = w. L(x,y,L(T(z,u),w,v5)) != v6 | L(x,y,L(z,w,v5)) = v6. L(x,y,(z \ u) \ u) != w | L(x,y,z) = w. L(x,y,z * (u \ 1)) != w | L(x,y,u \ z) = w. L(x,y,z / u) != w | L(x,y,u \ z) = w. L(x,y,(z / u) \ 1) != w | L(x,y,z \ u) = w. L(x,y,(1 / z) * u) != w | L(x,y,z \ u) = w. L(x,y,z * u) != w | L(x,y,u * z) = w. L(x,T(y,z),u) != w | L(x,y,u) = w. L(x,(y * z) \ z,u) != w | L(x,y \ 1,u) = w. x * y != (K(z,u) * w) * v5 | x \ (K(z,u) * (w * v5)) = y. ((K(x,y) * z) * u) \ (K(x,y) * (z * (u * w))) = L(w,u,K(x,y) * z). (x * (K(y,z) * u)) \ (x * (K(y,z) * (u * w))) != v5 | L(w,K(y,z) * u,x) = v5. (x \ y) * z = K(x,u) * ((T(x,u) \ y) * z). K(x,y) * ((T(x,y) \ z) * u) = (x \ z) * u. (x * y) * z = K(x,u) * ((T(x,u) * y) * z). K(x,y) * ((T(x,y) * z) * u) = (x * z) * u. (T(x,y) / z) * u = K(x,y) * ((x / z) * u). K(x,y) * ((x / z) * u) = (T(x,y) / z) * u. (T(x,y) * z) \ u = (x * z) \ (K(x,y) * u). (x * y) \ (K(x,z) * u) = (T(x,z) * y) \ u. x != y * ((z \ 1) * K(u,w)) | y * (z \ K(u,w)) = x. x * (y \ K(z,u)) = (x * (y \ 1)) * K(z,u). (x * (y \ 1)) * K(z,u) = x * (y \ K(z,u)). x * y != z * (a(u,w,v5) \ 1) | x \ (a(u,w,v5) \ z) = y. (x \ 1) \ (a(y,z,u) \ ((x \ 1) * w)) = (w * ((a(y,z,u) \ 1) * x)) / x. (x * (a(y,z,u) \ (x \ w))) * x = w * T(x * (a(y,z,u) \ 1),x). (a(x,y,z) \ (u * (w \ 1))) / (w \ 1) = w \ ((a(x,y,z) \ w) * u). x * y != (z * K(u,w)) * v5 | x \ (z * (K(u,w) * v5)) = y. ((x * K(y,z)) * u) \ (x * (K(y,z) * (u * w))) = L(w,u,x * K(y,z)). x != a(y,z,u) \ 1 | a(y,z,u \ 1) = x. a(x,y,z \ 1) = u \ (a(x,y,z) \ u). x \ (a(y,z,u) \ x) = a(y,z,u \ 1). x * T(y * a(z,u,w),y) = x * (y * a(z,u,w)). (1 / x) \ ((a(y,z,u) / x) * w) = (a(y,z,u) * (w * x)) / x. x * (y \ a(x \ 1,z,u)) = L(x,u,z) * (y \ 1). K(x,y) * ((z * T(x,y)) \ u) = (z * x) \ u. x \ (y * (z / y)) = (x \ z) * K(y,y \ z). (x \ y) * K(z,z \ y) = x \ (z * (y / z)). x \ (y * (z * K(u,w))) = (x \ (y * z)) * K(u,w). K(x,(y \ z) \ u) != w | K(x,(z \ y) * u) = w. K(x,(y \ z) * u) = K(x,y \ (z * u)). K(x,y \ (z * u)) = K(x,(y \ z) * u). x * K(y \ z,z \ (y * x)) = (y \ z) * (x / (y \ z)). T((x / R(y,z,u)) \ 1,y) = (y * (R(y,z,u) \ x)) \ y. x * y != R(z,u,w) * (u * w) | x \ ((z * u) * w) = y. T(x * y,z) \ ((z * x) * y) = R(z,x,y). R(x,y,z) = T(y * z,x) \ ((x * y) * z). x * y != L(z,u,w) * K(z,v5) | x \ L(T(z,v5),u,w) = y. x \ L(T(x,y),z,u) = a(x,u,z) \ K(x,y). a(x,y,z) \ K(x,u) = x \ L(T(x,u),z,y). x != L(y,z,u) | L(y,z,T(u,w)) = x. L(x,y,T(z * u,w)) = L(x,y,(1 / u) \ z). x * L(a(y \ 1,z,u),w,v5) = L(y \ L(y,u,z),w,v5) * x. L(x \ L(x,y,z),u,w) * v5 = v5 * L(a(x \ 1,z,y),u,w). x * (y * a(z \ 1,u,w)) = L(z \ L(z,w,u),y,x) * (x * y). L(x \ L(x,y,z),u,w) * (w * u) = w * (u * a(x \ 1,z,y)). x \ y != L(z,u * (w \ 1),v5) | x * L(z,w \ u,v5) = y. x * L(x \ 1,y \ z,u) = a(x,u,z * (y \ 1)). x * y != (z / L(u,w,v5)) * u | x \ (z * a(u,v5,w)) = y. a(x,y,z) \ (u * a(z,w,v5)) = (u / L(z,v5,w)) * L(z,y,x). (x \ y) \ (R(x,z,u) \ y) = a(z,u,x \ 1). x * (y \ L(y,z,u)) != w | (x * L(y,z,u)) / y = w. (x * L(y,z,u)) / y = a(u,z,y) \ x. (x \ (y \ x)) * a(z,u,w) != v5 | T(y,x) \ a(z,u,w) = v5. T(x,y) \ a(z,u,y) = L(y,u,z) \ (x \ y). a(x,y,z) * (u * z) = u * R(z,x,y). x * (y \ L(x,z,u)) = L(x,z,u) * (y \ x). L(x,y,z) * (u \ x) = x * (u \ L(x,y,z)). (x * a(y,z,u)) \ 1 = x \ a(z,u,y \ 1). x * y != z * (L(z,u,w) \ v5) | x \ (v5 * a(w,u,z)) = y. a(x,y,z) \ (u * a(w,v5,z)) = L(z,y,x) * (L(z,v5,w) \ u). ((1 / x) * (a(y,z,u) \ 1)) \ (w / x) = ((x * w) * a(y,z,u)) / x. (x \ y) \ (L(x,z,u) \ y) != w | a(x,u,z) = w. ((1 / x) * (1 / y)) \ (((1 / x) * ((1 / y) * L(z,y \ (1 / x),u))) * u) = L(z,y,x) * u. x \ y != a(z,u \ w,v5 \ 1) | x * a(z,w \ u,v5) = y. x * a(y,z \ u,w) = a(y,u \ z,w) \ x. a(x,y \ z,u) \ w = w * a(x,z \ y,u). K(x,y \ z) = K(x,(y \ u) * (u \ z)). K(x,(y \ z) * (z \ u)) = K(x,y \ u). (a(x,y,z) \ u) * z = u * L(z,y,x). a(x,y,z \ u) * u = z * R(z \ u,x,y). (a(x,y,z) \ u) * x = u * L(x,z,y). x * L(y,z,u) != w * y | a(y,u,z) \ x = w. a(x,y,z \ 1) \ u != w | u * a(z,x,y) = w. L(x,y,z \ L(z,u,w)) != v5 | L(x,y,a(z \ 1,w,u)) = v5. L(x,y,z * (1 / u)) != w | L(x,y,u \ z) = w. L(x,y,T(z * u,w)) != v5 | L(x,y,u * z) = v5. x / (x * (R(x,y,z) \ u)) = R(x,y,z) / u. R(x,L(T(y,z),z,u),w) != v5 | L(x,w,(u * (y * z)) \ (u * z)) = v5. L(x,y,(z * (u * w)) \ (z * w)) = R(x,L(u,w,z),y). x * y != z * (a(z,u,u) * w) | x \ (L(z,u,u) * w) = y. x \ (L(x,y,y) * z) = z * a(x,y,y). x \ (y * L(x,z,z)) = T(y,x) * a(x,z,z). (x * y) \ ((x * z) * u) = (T(x,w) * y) \ ((T(x,w) * z) * u). (T(x,y) * z) \ ((T(x,y) * u) * w) = (x * z) \ ((x * u) * w). (x \ a(y,z,u)) * K(w,v5) = a(y,z,u) * (x \ K(w,v5)). x \ y != a(z,u,x) | R(x,z,u) = y. R(x \ 1,y,z) = R(x,y,z) \ 1. R(T(1 / x,y),z,u) = R(T(x,x \ y),z,u) \ 1. R(T(x,x \ y),z,u) \ 1 = R(T(1 / x,y),z,u). a(x,y,a(x,z,u) * (x * (w \ L(x,u,z)))) = a(y,w,x \ 1). x \ y != (z * a(u,w,v5)) \ v6 | x * ((a(u,w,v5) * z) \ v6) = y. x * ((a(y,z,u) * x) \ 1) = a(z,u,y \ 1). a(x,y \ a(z,u,w \ 1),v5) != v6 | a(x,a(w,z,u) \ (y \ 1),v5) = v6. a(x,R(y,z,u) \ ((w / y) \ 1),v5) = a(x,w \ a(z,u,y \ 1),v5). x * a(y,z \ u,w) != v5 \ x | a(y,u \ z,w) = v5. x \ y != y * a(z,u \ w,v5) | a(z,w \ u,v5) = x. x * a(x,y \ z,u) != w | L(x,u,z \ y) = w. x / (a(x,y,z) \ u) = R(x,y,z) / u. x \ y = a(y,z,u) \ (x \ R(y,z,u)). a(x,y,z) \ (u \ R(x,y,z)) = u \ x. (x \ y) * a(y,z,u) = x \ R(y,z,u). a(x,y,z) * (u \ x) = u \ R(x,y,z). x \ y != a(z,u,w) \ z | x * L(z,w,u) = y. a(x,y,z) * L(x,u,w) = a(x,w,u) \ R(x,y,z). a(x,y,z) \ R(x,u,w) = a(x,u,w) * L(x,z,y). a(x,y,(z * u) \ R(z,w,v5)) = a(x,y,u \ a(z,w,v5)). x \ R(L(x,y,y),z,u) = T(a(L(x,y,y),z,u),x) * a(x,y,y). T(a(L(x,y,y),z,u),x) * a(x,y,y) = x \ R(L(x,y,y),z,u). (R(x,y,z) \ u) * ((x \ u) \ 1) = a(y,z,x \ 1). L(x,y,(z \ 1) \ (u \ 1)) != w | L(x,y,u \ z) = w. L(R(x,y,z),z,z) != u | L(x,z,y \ (z \ 1)) = u. L(x,y,z \ u) = R(x,z / u,y). R(x,y / z,u) = L(x,u,y \ z). R(x,(y \ (z * u)) / z,w) != v5 | L(x,w,(u / z) \ ((1 / z) * y)) = v5. L(x,y,(z / u) \ ((1 / u) * w)) = L(x,y,(w \ (u * z)) \ u). R(x,R(y,z,u),w) = L(x,w,((y * z) * u) \ (z * u)). L(x,y,((z * u) * w) \ (u * w)) = R(x,R(z,u,w),y). R(x,L(y \ 1,z,u),w) != v5 | L(x,w,a(y,u,z) \ y) = v5. x * ((x * (L(x,y,z) \ u)) \ 1) = L(x,y,z) * (u \ 1). (x * y) \ (x * ((y * z) * K(u,w))) = L(z,y,x) * K(u,w). a(x,y,z \ u) = a(x,y,u * (z \ 1)). a(x,y,z * (u \ 1)) = a(x,y,u \ z). a(x,y,z * (u \ 1)) != w | a(x,y,u \ z) = w. a(x,y,z * (u \ 1)) != w | a(x,y,z / u) = w. a(x,y,z / u) = a(x,y,u \ z). a(x,y,z * u) = a(x,y,(1 / u) \ z). a(x,y,(1 / z) \ u) = a(x,y,u * z). a(x,y,z * (u \ (w \ v5))) = a(x,y,((v5 \ w) * u) \ z). a(x,y,((z \ u) * w) \ v5) = a(x,y,v5 * (w \ (u \ z))). a(x \ 1,y,(z \ u) / x) != w | a(x \ 1,y,z \ (u / x)) = w. a(x \ 1,y,z \ (u / x)) = a(x \ 1,y,x \ (z \ u)). a(x,y,z / (u \ w)) != v5 | a(x,y,z * (w \ u)) = v5. a(x,y,z * (u \ w)) = a(x,y,(w \ u) \ z). a(x,y,(z \ u) \ w) = a(x,y,w * (u \ z)). a(x,y,z) = a(x,y,(z \ u) \ u). a(x,y,(z \ u) \ u) = a(x,y,z). a(x,y,z * ((z \ u) * w)) = a(x,y,z \ (u * T(z * w,z))). a(x,y,z \ (u * T(z * w,z))) = a(x,y,z * ((z \ u) * w)). a(x,y,L(z,u \ (u \ 1),w \ 1)) = a(x,y,w \ (u * (((u \ z) * (w * u)) / u))). a(x,y,z \ (u * (((u \ w) * (z * u)) / u))) = a(x,y,L(w,u \ (u \ 1),z \ 1)). a(x,y,(x \ z) \ u) != w | a(x,y,z \ (x * u)) = w. a(x,y,z \ (x * u)) = a(x,y,u * (z \ x)). a(x,y,z \ u) = a(x,y,u * ((w * z) \ w)). a(x,y,z * ((u * w) \ u)) = a(x,y,w \ z). a(x,y,(z \ 1) \ u) = a(x,y,u * z). a(x,y,(z \ 1) \ u) != w | a(x,y,z * u) = w. a(x,y,z * u) = a(x,y,u * z). a(x,y,z * u) * 1 = a(x,y,u * z). a(x,y,z * u) != w | w = a(x,y,u * z). a(x,y,z * u) != w | a(x,y,u * z) = w. x \ L(x,y,(y * z) \ u) = a(y,x,z * (u \ y)). a(x,y,x * (z \ x)) != u | a(y,z,x \ 1) = u. a(x,y * z,y \ 1) = a(y,x,z \ y). a(x,y,z * L(u \ w,v5,v6)) = a(x,y,L(w \ u,v5,v6) \ z). a(x,y,L(z \ u,w,v5) \ v6) = a(x,y,v6 * L(u \ z,w,v5)). x != a(y,z,u) | a(z,u,y) = x. a(x,y \ z,z) = a(x,z * y,z \ 1). a(x,y * z,y \ 1) = a(x,z \ y,y). a(x,y * z,u \ 1) != w | a(u,x,z \ (y \ 1)) = w. a(x,y,z \ (x \ 1)) = a(x,y,z \ x). a(x,y,z \ 1) != u | z \ L(z,y,x) = u. x \ L(x,x * y,z) = a(z,y \ x,x). x \ y != a(z,u * w,u \ 1) | x * a(z,w \ u,u) = y. x * a(y,z \ u,u) = a(y,u * z,u) \ x. a(x,y * z,y) \ u = u * a(x,z \ y,y). a(x,y,z \ (u \ 1)) != w | y \ L(y,x,u * z) = w. x \ L(x,y,y * z) = a(y,x,z \ y). R(x,y,z \ x) = L(x,x * z,y). R(x,y,(z \ u) \ u) != w | R(x,y,z) = w. R(x,y,z) = L(x,x * (z \ x),y). L(R(x,y,z),u,w) = L(L(x,u,w),x * (z \ x),y). L(L(x,y,z),x * (u \ x),w) = L(R(x,w,u),y,z). x \ y != a(z,x,u \ w) | L(x,z,w \ u) = y. L(x,y,y \ z) = L(x,y,y * z). L(x,y,y \ (z \ y)) != u | R(x,z,y) = u. R(x,y,z) = L(x,z,z * (y \ z)). L(x,y,y \ (y \ z)) = L(x,y,z). L(x,T(y,z),y \ (y \ u)) = L(x,T(y,z),u). x \ L(x,y,z \ y) = a(x,y * z,y). a(x,y \ z,y) = a(x,y * z,y). x * y != z \ L(T(z,u),w,v5) | T(x,y) = y \ (a(z,v5,w) \ K(z,u)). T(L(T(a(x,y * z,y),u),w,v5),a(x,z \ y,y)) = a(x,z \ y,y) \ (a(a(x,y * z,y),v5,w) \ K(a(x,y * z,y),u)). a(x,y \ z,z) \ (a(a(x,z * y,z),u,w) \ K(a(x,z * y,z),v5)) = T(L(T(a(x,z * y,z),v5),w,u),a(x,y \ z,z)). a(x,1 * a(y,z \ u,u),w) = a(x,a(y,u * z,u),w \ 1). a(x,y,x * z) = a(y,x \ z,x). a(x,y \ z,y) = a(y,x,y * z). a(x,y,x \ z) = a(x,y,x * z). x \ y != a(x,z,u) | R(x,z,u) = y. R(x,y * z,y) = L(x,y,z \ y). a(x,y,(z \ 1) * u) != w | a(x,y,z \ u) = w. a(x \ 1,y \ (z \ 1),u) != w | a(u,x,z * y) = w. R(T(x,x \ y),z,u) \ 1 != w | (x \ y) \ (x \ (R(x,z,u) \ y)) = w. (x \ y) \ (x \ (R(x,z,u) \ y)) = R(T(1 / x,y),z,u). (R(a(x,y * z,y),u,w) \ v5) * ((v5 * a(x,z \ y,y)) \ 1) = a(u,w,a(x,y * z,y) \ 1). a(x,y,x * (z \ x)) \ L(x,u,y) = L(R(x,y,z),u,y). L(x,y,L((z \ 1) \ u,w,v5)) != v6 | L(x,y,L(z * u,w,v5)) = v6. L(R(x,y,z \ 1),z \ 1,z \ 1) != u | L(x,z \ 1,y \ z) = u. (x * a(y,z,u)) * w != v5 * T(x * a(y,z,u),x) | T(v5,x * a(y,z,u)) = w. T(x,y * a(z,u,w)) = T(x,y). T(x,y \ a(z,u,w)) = T(x,y \ 1). T(x,y * a(z,u,w)) != v5 | T(x,a(z,u,w) * y) = v5. T(x,a(y,z,u) * w) = T(x,w). T(x,y) * (y * a(z,u,w)) = (y * a(z,u,w)) * x. T(x,a(y,z,u) \ w) = T(x,w). (a(x,y,z) * u) \ w = T(w / (a(x,y,z) * u),u). T(x / (a(y,z,u) * w),w) = (a(y,z,u) * w) \ x. x \ y != T(z,a(u,w,v5) \ v6) | x * T(z,v6) = y. (1 / (a(x,y,z) \ u)) * T(w,u) = w / (a(x,y,z) \ u). T(x,y) * (a(z,u,w) \ y) = (a(z,u,w) \ y) * x. x * K(x,y \ 1) = T(x,y \ a(z,u,w)). T(x,y \ a(z,u,w)) = x * K(x,y \ 1). T(x \ (y \ z),z \ y) != u | ((y \ z) \ T(x,y \ z)) \ 1 = u. ((a(x,y,z) \ u) \ T(w,a(x,y,z) \ u)) \ 1 = T(w \ (a(x,y,z) \ u),u \ 1). T(x,y \ 1) * (y \ a(z,u,w)) = (y \ a(z,u,w)) * x. K(x,y \ a(z,u,w)) = K(x,y \ 1). K(x,y) = K(x,(a(z,u,w) / y) \ 1). K(x,(a(y,z,u) / w) \ 1) = K(x,w). K(x,a(y,z,u) \ w) = K(x,w). K(x,y) = K(y,a(z,u,w) \ x). K(x,a(y,z,u) \ w) = K(w,x). K(a(x,y,z) \ u,w) = K(u,w). T(x,y) * (a(z,u,w) * y) = (y * a(z,u,w)) * x. x * y != T(x,z) * (z * a(u,w,v5)) | T(z * a(u,w,v5),x) = y. T(x * a(y,z,u),w) = T(x,w) * a(y,z,u). (x / y) * (y * a(z,u,w)) = (y * a(z,u,w)) * (y \ x). a(x,y,z) \ T(u,w) = T(a(x,y,z) \ u,w). T(a(x,y,z) \ u,w) = a(x,y,z) \ T(u,w). (T(x,y) * a(z,u,w)) * y = y * (x * a(z,u,w)). T(x \ a(y,z,u),w) = T(x \ 1,w) * a(y,z,u). T(x \ 1,y) * a(z,u,w) = T(x \ a(z,u,w),y). (a(x,y,z) \ T(u,w)) \ w = w * (u \ a(x,y,z)). a(x,y,z) \ (1 / u) = 1 / (a(x,y,z) * u). 1 / (a(x,y,z) * u) = a(x,y,z) \ (1 / u). (x \ y) * (a(z,u,w) * x) = (x * a(z,u,w)) * (y / x). T(x * y,x) * (a(z,u,w) * x) = x * (x * (y * a(z,u,w))). ((x * y) \ y) * a(z,u,w) = T(x \ a(z,u,w),y). (a(x,y,z) \ u) \ w = w * (T(u,w) \ a(x,y,z)). x * (T(y,x) \ a(z,u,w)) = (a(z,u,w) \ y) \ x. (a(x,y,z) \ a(u,w,v5)) \ v6 = v6 * (a(u,w,v5) \ a(x,y,z)). (x \ y) * a(y,z,u) != w | x \ R(y,z,u) = w. (x * y) \ R(y,z,u) = T(x \ a(y,z,u),y). T(x \ a(y,z,u),y) = (x * y) \ R(y,z,u). T(a(x,y,z) \ u,w) != v5 | a(x,y,z) \ T(u,w) = v5. a(x,y,z) \ T(a(u,w,v5),u) = (a(x,y,z) * u) \ R(u,w,v5). (a(x,y,z) * u) \ R(u,w,v5) = a(x,y,z) \ T(a(u,w,v5),u). T(x,y) * (y \ a(z,u,w)) = (a(z,u,w) \ y) \ x. x / (y \ a(z,u,w)) = T((a(z,u,w) \ y) * x,y). T((a(x,y,z) \ u) * w,u) = w / (u \ a(x,y,z)). (x / (y \ 1)) * (y \ a(z,u,w)) = (a(z,u,w) \ y) \ (y * x). (a(x,y,z) \ a(u,w,v5)) * v6 = v6 / (a(u,w,v5) \ a(x,y,z)). x / (a(y,z,u) \ a(w,v5,v6)) = (a(w,v5,v6) \ a(y,z,u)) * x. T((x / R(y,z,u)) \ 1,y) != w | x \ R(y,z,u) = w. x \ R(y,z,u) = (y * (R(y,z,u) \ x)) \ y. (x * (R(x,y,z) \ u)) \ x = u \ R(x,y,z). (x * y) \ x = (R(x,z,u) * y) \ R(x,z,u). (R(x,y,z) * u) \ R(x,y,z) = (x * u) \ x. (a(x,y,z) \ u) \ x = u \ R(x,y,z). a(x,y,a(z,u,w)) \ z = R(a(z,u,w),x,y) \ R(z,u,w). R(a(x,y,z),u,w) \ R(x,y,z) = a(u,w,a(x,y,z)) \ x. L(L(x,y,z),u,z) \ x = L(x,y,z) \ R(x,z,u). ((x * y) \ x) * R(x,z,u) = y \ R(x,z,u). x != L(y,z,u) \ R(y,w,v5) | a(y,u,z) * a(y,w,v5) = x. a(x,y,z) * a(x,y,u) = L(L(x,z,y),u,y) \ x. L(L(x,y,z),u,z) \ x = a(x,z,y) * a(x,z,u). x != y | 1 * y = x. 1 * (a(x,y,z) * a(x,y,u)) = L(L(x,z,y),u,y) \ x. x * (((y / L(x,z,u)) * x) \ 1) = L(x,z,u) * (y \ 1). a(x,y,(z * u) \ w) = a(x,y,w * (u \ (z \ 1))). a(x,y,z * (u \ (w \ 1))) = a(x,y,(w * u) \ z). a(x,y,((z \ 1) * u) \ w) = a(x,y,w * (u \ z)). a(x,y,z \ 1) \ L(z,u,x) = L(R(z,x,y),u,x). L(x,y,z) * a(x,z,u) = L(R(x,z,u),y,z). x * y != L(z,u,w) * a(z,w,v5) | x \ L(R(z,w,v5),u,w) = y. x \ L(R(x,y,z),u,y) = a(u,x,y) \ a(x,y,z). a(x,y,z) \ a(y,z,u) = y \ L(R(y,z,u),x,z). x \ L(R(x,y,z),u,y) = a(x,y,u) \ a(x,y,z). a(x,y,z) \ a(x,y,u) = x \ L(R(x,y,u),z,y). L(x,y,z) * a(z,u,x) = L(R(x,z,u),y,z). x * y != L(z,u,w) * a(w,v5,z) | x \ L(R(z,w,v5),u,w) = y. x \ L(R(x,y,z),u,y) = a(y,u,x) \ a(y,z,x). a(x,y,z) \ a(x,u,z) = z \ L(R(z,x,u),y,x). (a(x,y,z) / u) * T(w,u) = w / (a(x,y,z) \ u). (a(x,y,z) / u) \ w = T(w * (a(x,y,z) \ u),u). T(x * (a(y,z,u) \ w),w) = (a(y,z,u) / w) \ x. T((a(x,y,z) \ u) * w,u) = (a(x,y,z) / u) \ T(w,u). (x / (y \ 1)) * (y \ a(z,u,w)) = (y \ a(z,u,w)) * ((y \ 1) \ x). (x \ a(y,z,u)) * ((x \ 1) \ w) = (w / (x \ 1)) * (x \ a(y,z,u)). x != (y * a(z,u,w)) * v5 | (a(z,u,w) * y) * v5 = x. (a(x,y,z) * u) * (u \ w) = (w / u) * (u * a(x,y,z)). (x / y) * (y * a(z,u,w)) = (a(z,u,w) * y) * (y \ x). x * ((y * x) \ 1) = L(x,z,u) * ((y * L(x,z,u)) \ 1). L(x,y,z) * ((u * L(x,y,z)) \ 1) = x * ((u * x) \ 1). T((a(x,y,z) \ u) * w,u) != v5 | w / (u \ a(x,y,z)) = v5. x / (y \ a(z,u,w)) = (a(z,u,w) / y) \ T(x,y). (a(x,y,z) / u) \ T(w,u) = w / (u \ a(x,y,z)). (a(x,y,z) / u) * w = T(w * (u \ a(x,y,z)),u). T(x * (y \ a(z,u,w)),y) = (a(z,u,w) / y) * x. ((a(x,y,z) / u) * w) * u = u * (w * (u \ a(x,y,z))). (x / y) * (a(z,u,w) * y) = (a(z,u,w) * y) * (y \ x). L(a(x,y,z),z * ((u * z) \ 1),w) = a(x,y,L(z,u \ (1 / L(z,y,x)),w)). x * y != z | T((1 / y) \ x,y) = z. T((1 / (a(x,y,z) * u)) \ (w / u),a(x,y,z) * u) = (a(x,y,z) * u) * (u \ w). R(x,R(y \ 1,z,u),w) != v5 | L(x,w,a(y,z \ 1,u) \ y) = v5. (x * y) \ (x * (y * (z * K(u,w)))) = L(z,y,x) * K(u,w). L(x * K(y,z),u,w) = L(x,u,w) * K(y,z). x != L(T(y,z),u,w) * z | z * L(y,u,w) = x. K(x,y) * L(z,u,w) = L(T(z,K(x,y)) * K(x,y),u,w). L(T(x,K(y,z)) * K(y,z),u,w) = K(y,z) * L(x,u,w). L(x * T(y,z),u,w) = L(x * y,u,w) * K(y,z). L(x * y,z,u) * K(y,w) = L(x * T(y,w),z,u). L(x \ K(y,z),u,w) = L(x \ 1,u,w) * K(y,z). L(x \ 1,y,z) * K(u,w) = L(x \ K(u,w),y,z). (x \ a(x,y,z)) * K(u,w) = L(x \ K(u,w),z,y). (x \ a(y,z,u)) * K(w,v5) != v6 | a(y,z,u) * (x \ K(w,v5)) = v6. a(x,y,z) * (x \ K(u,w)) = L(x \ K(u,w),z,y). x * y != L(y,z,u) | y \ L(y,z,u) = x. (x \ K(y,z)) \ L(x \ K(y,z),u,w) = a(x,w,u). L(K(x,y) * z,u,w) = K(x,y) * L(z,u,w). L(T(x,y),z,u) = K(y,x) * L(x,z,u). K(x,y) * L(y,z,u) = L(T(y,x),z,u). L(x \ y,z,u) = K(x,w) * L(T(x,w) \ y,z,u). K(x,y) * L(T(x,y) \ z,u,w) = L(x \ z,u,w). L(x \ L(x,y,z),u,w) * v5 = v5 * (L(a(z,y,x),u,w) \ 1). a(x,y,z) \ (u * a(z,w,v5)) = L(z,y,x) * (L(z,v5,w) \ u). ((x \ y) * z) \ ((T(y / x,x) * u) * w) = ((y / x) * z) \ (((y / x) * u) * w). a(x,y,R(x,z,u) * (w \ L(x,u,z))) = a(y,w,x \ 1). L(x,y,((z * u) \ w) * z) = L(x,y,(u / z) \ ((1 / z) * w)). L(x,y,(z / u) \ ((1 / u) * w)) = L(x,y,((u * z) \ w) * u). a(x,a(y,z \ u,u),w) = a(x,a(y,u * z,u),w \ 1). a(x,a(y,z * u,z),w \ 1) = a(x,a(y,u \ z,z),w). T(x,y) * (a(z,u,w) * y) != v5 | (y * a(z,u,w)) * x = v5. (x * a(y,z,u)) * (x * w) = x * (x * (w * a(y,z,u))). x \ ((x * a(y,z,u)) * w) = x * ((x \ w) * a(y,z,u)). (x * ((x \ y) * a(z,u,w))) / y = L(a(z,u,w),x,y \ 1). (x * ((x \ y) * z)) / y != u | L(T(z,y),x \ y,x) = u. L(T(a(x,y,z),u),w \ u,w) = L(a(x,y,z),w,u \ 1). L(a(x,y,z),u \ w,u) = L(a(x,y,z),u,w \ 1). L(a(x,y,z),u \ w,u) != v5 | L(a(x,y,z),w,u) = v5. L(a(x,y,z),u,w) = L(a(x,y,z),w,u \ 1). L(a(x,y,z),u,w \ 1) = L(a(x,y,z),w,u). L(a(x,y,z),u,w) = L(a(x,y,z),w \ 1,u). L(a(x,y,z),u \ 1,w) = L(a(x,y,z),w,u). R(a(x,y,z),u,w) = L(a(x,y,z),u,w). x != L(a(y,z,u),w,y) | a(y,z,u) = x. a(x,y,z) = R(a(x,y,z),u,x). R(a(x,y,z),u,x) = a(x,y,z). x * y != R(a(z,u,w),v5,v6) | x \ L(a(z,u,w),v5,v6) = y. a(x,y,z) \ L(a(x,y,z),u,w) = a(a(x,y,z),u,w). L(R(a(x,y,z),u,w),v5,v5) = L(a(x,y,z),u,w). a(x,y,z) * (u * x) = (a(x,y,z) * u) * x. (a(x,y,z) * u) * x = a(x,y,z) * (u * x). x != a(y,z,u) * (w * y) | w * R(y,z,u) = x. x * R(y,z,u) = (a(y,z,u) * x) * y. (a(x,y,z) * u) * x = u * R(x,y,z). (x \ R(y,z,u)) * y = (x \ y) * R(y,z,u). x * y != ((z * u) \ z) * R(z,w,v5) | (u \ R(z,w,v5)) / y = x. (x \ R(y,z,u)) / y = (y * x) \ R(y,z,u). L(a(x,y,z),u,w \ (u \ 1)) = L(a(x,y,z),w,u). L(a(x,y,z),u \ 1,w) != v5 | L(a(x,y,z),w,w \ u) = v5. a(x,a(y,z,u),w \ 1) = a(a(y,z,u),x,w). a(x,y,z) \ L(a(x,y,z),u,w) != v5 | a(a(z \ 1,x,y),w,u) = v5. a(a(x \ 1,y,z),u,w) = a(a(y,z,x),w,u). a(a(x,y,z),u,w) * v5 = a(w,u,a(x,y,z)) \ v5. a(x,y,a(z,u,w)) \ v5 = a(a(z,u,w),y,x) * v5. a(a(x,y,z),u,w \ 1) != v5 | a(u,a(x,y,z),w) = v5. a(x,a(y,z,u),w \ 1) != v5 | a(x,w,a(y,z,u)) = v5. L(x,y,a(z \ 1,u,w)) = a(a(u,w,z),x,y) \ x. a(x,y,a(z,u,w)) \ v5 = a(x,a(z,u,w),y) * v5. a(x,y,a(z,u,w)) \ z != v5 | R(a(z,u,w),x,y) \ R(z,u,w) = v5. R(a(x,y,z),u,w) \ R(x,y,z) = a(u,a(x,y,z),w) * x. a(x,y,a(z,u * w,u)) = a(x,a(z,w \ u,u),y). a(x,a(y,z \ u,u),w) = a(x,w,a(y,u * z,u)). a(a(x,y,z),u \ 1,w) != v5 | a(w,u,a(x,y,z)) = v5. L(a(x,y,z),u,u \ w) = L(a(x,y,z),u,w). L(x,y,y \ z) != u | L(x,y,y * z) = u. L(a(x,y,z),u,u * w) = L(a(x,y,z),u,w). a(x,y,L(z,u,(u * L(z,y,x)) * w)) = L(a(x,y,z),u * L(z,y,x),w). (a(x,y,z) \ u) \ x != w | u \ R(x,y,z) = w. a(x,y,z) \ R(u,w,v5) = u * (a(x,y,z) \ a(u,w,v5)). x * (a(y,z,u) \ a(x,w,v5)) = a(y,z,u) \ R(x,w,v5). x * y != (a(z,u,w) \ v5) \ z | x \ (v5 \ R(z,u,w)) = y. x \ (a(y,z,u) \ R(x,w,v5)) = a(y,z,u) \ a(x,w,v5). x * (a(y,z,u) \ a(x,w,v5 \ 1)) = a(y,z,u) \ L(x,v5,w). x * (y \ L(R(y,x,z),u,x)) = a(x,u,y) \ R(x,z,y). x * (a(y,z,u) \ a(x,w,v5)) != v6 | a(y,z,u) \ R(x,w,v5) = v6. x != a(y,z,u) \ R(y,w,v5) | a(y,w,v5) * L(y,u,z) = x. a(x,y,z) * L(x,z,u) = x * (z \ L(R(z,x,y),u,x)). x * (y \ L(R(y,x,z),u,x)) = a(x,z,y) * L(x,y,u). (a(x,y,z) * u) \ R(u,w,v5) = a(x,y,z) \ a(u,w,v5). (x * a(y,z,u)) \ R(x,w,v5) = a(y,z,u) \ a(x,w,v5). x != y * (L(a(z,u,w),v5,v6) \ 1) | L(a(z,u,w),v5,v6) \ y = x. L(a(x,y,z),u,w) \ v5 = L(z \ L(z,y,x),u,w) * v5. L(x \ L(x,y,z),u,w) * v5 = L(a(z,y,x),u,w) \ v5. a(x,y,z) \ (u * a(x,w,v5)) = L(x,z,y) * (L(x,v5,w) \ u). x * (R(y,z,u) \ L(y,w,x)) = a(y,z,u) \ L(x,y,w). x * (y \ L(L(y,z,x),u,x)) = a(y,x,z) \ L(x,y,u). (L(x,y,z) * (L(x,u,w) \ v5)) \ 1 = (v5 * a(x,w,u)) \ a(x,z,y). L(x \ L(x,y,z),u,w) * (w * u) = w * (a(z,y,x) \ u). L(x \ L(x,y,z),u,w) * v5 != v6 | L(a(z,y,x),u,w) \ v5 = v6. L(a(x,y,z),u,w) \ (w * u) = w * (a(x,y,z) \ u). T(a(L(x,y,y),z,u),x) * a(x,y,y) = x \ L(R(x,z,u),y,y). T(a(x,y,z),x) * a(x,u,u) = x \ L(R(x,y,z),u,u). T(a(x,y,z),y) * a(y,u,u) = y \ L(R(y,z,x),u,u). T(a(x,y,z),y) * a(y,x,x) = y \ L(y,x,z \ x). x != y \ L(y,z,u \ z) | a(y,z * u,z) = x. a(x,y * z,y) = T(a(y,x,z),x) * a(x,y,y). T(a(x,y,z),y) * a(y,x,x) = a(y,x * z,x). T(a(x,y,z),x) * a(x,z,z) = a(x,z * y,z). a(x,y,z) * a(x,z,z) = a(x,z * y,z). (x * (a(y,z,u) \ (x \ w))) * x = w * T(a(y,z,u) \ x,x). (x * T(a(y,z,u) \ w,w)) / w = w * (a(y,z,u) \ (w \ x)). (x * (a(y,z,u) \ w)) / w = w * (a(y,z,u) \ (w \ x)). (a(x,y,z) \ (1 / u)) \ (w / u) = ((u * w) * a(x,y,z)) / u. L(x,y \ 1,z \ y) = L(R(x,z,y \ 1),y,y). L(R(x,y,z \ 1),z,z) = L(x,z \ 1,y \ z). L(L(x,y,z),y,y) = L(x,y \ 1,z \ y). R(x,y \ z,z) = L(L(x,z,y),z,z). L(L(x,y,z),y,y) = R(x,z \ y,y). x != R(y,z \ u,w) | L(y,w,u \ z) = x. L(x,y,y \ z) = L(L(x,y,z),y,y). L(L(x,y,z),y,y) = L(x,y,y \ z). L(x,a(y,z,u),w) = L(x,a(y,z,u),a(y,z,u) \ w). L(x,a(y,z,u),a(y,z,u) \ w) = L(x,a(y,z,u),w). L(L(x,y,z),u,w) != v5 | L(L(x,u,w),y,z) = v5. L(L(x,y,y),y,z) = L(x,y,y \ z). x * y != L(z,u,u \ w) | x \ L(L(z,u,u),u,w) = y. x \ L(L(x,y,y),y,z) = a(x,z \ y,y). L(x \ y,x,x \ z) != u | z \ ((z / x) * y) = u. x \ ((x / a(y,z,u)) * w) = L(a(y,z,u) \ w,a(y,z,u),x). L(a(x,y,z) \ u,a(x,y,z),w) = w \ ((w / a(x,y,z)) * u). x != (y / (z \ 1)) * (z \ a(u,w,v5)) | (a(u,w,v5) \ z) \ (z * y) = x. (a(x,y,z) \ u) \ (u * w) = (u \ a(x,y,z)) * ((u \ 1) \ w). (x \ a(y,z,u)) * ((x \ 1) \ w) = (a(y,z,u) \ x) \ (x * w). (x \ a(y,z,u)) * w = (a(y,z,u) \ x) \ (x * ((x \ 1) * w)). (a(x,y,z) \ u) \ (u * ((u \ 1) * w)) = (u \ a(x,y,z)) * w. (a(x,y,z) \ u) \ L(w,u,u) = (u \ a(x,y,z)) * w. (a(x,y,z) \ u) \ w = (u \ a(x,y,z)) * L(w,u,u). (x \ a(y,z,u)) * L(w,x,x) = (a(y,z,u) \ x) \ w. x \ y != (z \ a(u,w,v5)) * L(v6,z,z) | x * ((a(u,w,v5) \ z) \ v6) = y. x * ((a(y,z,u) \ x) \ w) = (a(y,z,u) * (w * x)) / x. (a(x,y,z) * (u * w)) / w = w * ((a(x,y,z) \ w) \ u). (a(x,y,z) * (u * w)) / w != v5 | (1 / w) \ ((a(x,y,z) / w) * u) = v5. (1 / x) \ ((a(y,z,u) / x) * w) = x * ((a(y,z,u) \ x) \ w). (a(x,y,z) \ (u * w)) / w = w * ((a(z \ 1,x,y) \ w) \ u). x * ((a(y \ 1,z,u) \ x) \ w) = (a(z,u,y) \ (w * x)) / x. T(x * ((a(y,z,u) \ x) \ w),x) = ((a(y,z,u) / x) * w) * x. x * ((x * a(y,z,u)) \ w) = (a(y,z,u) \ (w * x)) / x. (a(x,y,z) \ (u * w)) / w = w * ((w * a(x,y,z)) \ u). (a(x,y,z) \ (u * (w \ 1))) / (w \ 1) != v5 | w \ ((a(x,y,z) \ w) * u) = v5. x \ ((a(y,z,u) \ x) * w) = (x \ 1) * (((x \ 1) * a(y,z,u)) \ w). (x \ 1) * (((x \ 1) * a(y,z,u)) \ w) = x \ ((a(y,z,u) \ x) * w). x != ((a(y,z,u) / w) * v5) * w | w * (v5 * (w \ a(y,z,u))) = x. x * (y * (x \ a(z,u,w))) = T(x * ((a(z,u,w) \ x) \ y),x). T(x * ((a(y,z,u) \ x) \ w),x) = x * (w * (x \ a(y,z,u))). x != y * (z * (y \ a(u,w,v5))) | ((y * z) * a(u,w,v5)) / y = x. ((x * y) * a(z,u,w)) / x = T(x * ((a(z,u,w) \ x) \ y),x). T(x * ((a(y,z,u) \ x) \ w),x) = ((x * w) * a(y,z,u)) / x. x \ ((x * y) * a(z,u,w)) = x * ((a(z,u,w) \ x) \ y). x \ (a(y,z,u) \ (x * w)) = x * ((a(u \ 1,y,z) \ x) \ w). x * ((a(y \ 1,z,u) \ x) \ w) = x \ (a(z,u,y) \ (x * w)). x * ((x * a(y,z,u)) \ w) = x \ (a(y,z,u) \ (x * w)). x \ (a(y,z,u) \ (x * w)) = x * ((x * a(y,z,u)) \ w). (x \ 1) * ((x \ a(y,z,u)) \ w) = x \ ((a(y,z,u) \ x) * w). (K(x,y) * (z * u)) \ (K(x,y) * (z * (u * w))) = L(w,u,K(x,y) * z). (x * (K(y,z) * u)) \ (x * (K(y,z) * (u * w))) = L(w,u,x * K(y,z)). L(L(x,y,z),z * y,K(u,w)) = L(x,y,K(u,w) * z). L(x,y,z) = L(x,y,K(u,w) * z). L(x,y,K(z,u) * w) = L(x,y,w). L(x,y,K(z,u) * w) != v5 | L(x,y,w) = v5. L(x,y,z * K(u,w)) = L(x,y,z). L(x,y,T(z,u) * w) = L(x,y,z * w). L(x,y,z \ u) = L(x,y,T(z,w) \ u). L(x,y,T(z,u) \ w) = L(x,y,z \ w). L(x,y,z \ u) = L(x,y,z \ T(u,w)). L(x,y,z \ T(u,w)) = L(x,y,z \ u). L(x,y,z * T(u,w)) = L(x,y,z * u). L(x,y,(K(z,u) * w) * v5) = L(x,y,w * v5). L(x,y,z \ (K(u,w) * v5)) = L(x,y,z \ v5). L(x,y,(z \ u) * w) = L(x,y,(T(z,v5) \ u) * w). L(x,y,(T(z,u) \ w) * v5) = L(x,y,(z \ w) * v5). x \ y != L(z,u,w * K(v5,v6)) | x * L(z,u,w) = y. x * L(x \ 1,y,z) = a(x,z * K(u,w),y). a(x,y * K(z,u),w) = x * L(x \ 1,w,y). L(x,y,(K(z,u) * w) \ v5) = L(x,y,w \ v5). L(x,y,R(T(z,u),w,v5) * v6) = L(x,y,R(z,w,v5) * v6). L(x,y,((z \ u) \ u) \ w) = L(x,y,z \ w). L(x,y,z \ (u * (w \ v5))) = L(x,y,z \ (T(w / v5,w) \ u)). L(x,y,z \ (T(u / w,u) \ v5)) = L(x,y,z \ (v5 * (u \ w))). L(x,y,z * (u * (w \ 1))) = L(x,y,z * (w \ u)). L(x,y,z * (u * (w \ v5))) = L(x,y,z * (T(w / v5,w) \ u)). L(x,y,z * (T(u / w,u) \ v5)) = L(x,y,z * (v5 * (u \ w))). L(x,y,T(z,u) \ w) != v5 | L(x,y,z \ w) = v5. L(x,y,(z / u) * w) != v5 | L(x,y,(u \ z) * w) = v5. L(x,y,z * T(u,w)) != v5 | L(x,y,z * u) = v5. L(x,y,z \ T(u,w)) != v5 | L(x,y,z \ u) = v5. L(x,y,z * K(u,w)) != v5 | L(x,y,z) = v5. L(x,y,(K(z,u) * w) * v5) != v6 | L(x,y,w * v5) = v6. L(x,y,z \ (u / w)) != v5 | L(x,y,z \ (w \ u)) = v5. L(x,y,(z \ u) * w) = L(x,y,(z \ T(u,v5)) * w). L(x,y,(z \ T(u,w)) * v5) = L(x,y,(z \ u) * v5). L(x,y,((z * u) \ w) * v5) = L(x,y,((z * T(u,v6)) \ w) * v5). L(x,y,((z * T(u,w)) \ v5) * v6) = L(x,y,((z * u) \ v5) * v6). L(x,y,z \ (u \ w)) = L(x,y,z \ (T(u,v5) \ w)). L(x,y,z \ (T(u,w) \ v5)) = L(x,y,z \ (u \ v5)). L(x,y,z \ ((u / w) \ v5)) = L(x,y,z \ ((w \ u) \ v5)). L(x,y,z \ (u * T(w,v5))) = L(x,y,z \ (u * w)). a(x,y,z) = a(x,y * K(u,w),z). a(x,y * K(z,u),w) = a(x,y,w). a(x,y * K(z,u),w) != v5 | a(x,y,w) = v5. a(x,y \ T(z,u),w) = a(x,y \ z,w). a(x,T(y,z) \ u,w) = a(x,y \ u,w). a(x,y \ (z \ u),w) = a(x,y \ ((z / u) \ 1),w). a(x,y \ ((z / u) \ 1),w) = a(x,y \ (z \ u),w). a(x,L(y,z,u) \ (w \ y),v5) = a(x,w \ a(u,z,y),v5). L(x,y,((T(z,u) / w) * v5) \ v6) = L(x,y,((z / w) * v5) \ v6). L(x,y,(z \ (u \ z)) * w) = L(x,y,u \ w). L(x,y,((z \ u) \ (z \ (R(z,w,v5) \ u))) * v6) = L(x,y,R(z,w,v5) \ v6). L(x,y,((1 / z) \ u) \ w) != v5 | L(x,y,(u * z) \ w) = v5. L(x,y,z * (u * (w \ 1))) != v5 | L(x,y,z * (w \ u)) = v5. L(x,y,z * ((1 / u) \ w)) != v5 | L(x,y,z * (w * u)) = v5. L(x,y,z \ ((1 / u) * w)) != v5 | L(x,y,z \ (u \ w)) = v5. L(x,y,z * (T(u,w) \ v5)) = L(x,y,(u \ v5) * z). L(x,y,(((z \ 1) \ u) \ w) * v5) = L(x,y,((z * u) \ w) * v5). L(x,y,z \ ((u * w) / z)) = L(x,y,(z \ u) * (z \ w)). L(x,y,(z \ T(u \ w,w)) * v5) != v6 | L(x,y,((u / w) * z) \ v5) = v6. L(x,y,((z / u) * w) \ v5) = L(x,y,(w \ (z \ u)) * v5). L(x,y,(z \ (u * (w \ 1))) * v5) = L(x,y,(z \ (w \ u)) * v5). L(x,y,(z \ ((u \ 1) \ w)) * v5) = L(x,y,(z \ (u * w)) * v5). L(x,y,z \ (((u \ 1) \ w) \ v5)) = L(x,y,z \ ((u * w) \ v5)). L(x,y,z \ (u * T(z * w,z))) != v5 | L(x,y,z * ((z \ u) * w)) = v5. L(x,y,z * ((z \ u) * w)) = L(x,y,z \ (u * (z * w))). L(x,y,z \ (u * (z * w))) = L(x,y,z * ((z \ u) * w)). L(x,y,z \ (u * (w * (v5 \ 1)))) = L(x,y,z \ (u * (v5 \ w))). a(x,R(y,z,u) \ ((w / y) \ 1),v5) != v6 | a(x,w \ a(z,u,y \ 1),v5) = v6. a(x,y \ a(z,u,w \ 1),v5) = a(x,R(w,z,u) \ (y \ w),v5). a(x,R(y,z,u) \ (w \ y),v5) = a(x,w \ a(z,u,y \ 1),v5). L(x,y,z * (T(u,w) \ v5)) != v6 | L(x,y,z * (u \ v5)) = v6. L(x,y,(z / u) \ w) != v5 | L(x,y,(z \ u) * w) = v5. L(x,y,(T(z,u) \ w) * v5) != v6 | L(x,y,(z \ w) * v5) = v6. L(x,y,L(T(z,u),w,v5) * v6) != v7 | L(x,y,L(z,w,v5) * v6) = v7. L(x,y,z \ (z \ (u * w))) = L(x,y,(z \ u) * (z \ w)). x * y != L(z,u,w \ (v5 * (w * v6))) | x \ L(z,u,w * ((w \ v5) * v6)) = y. x \ L(x,y,z * ((z \ u) * w)) = a(y,x,(u * (z * w)) \ z). L(x,T(y,z),y \ (y \ u)) != w | L(x,T(y,z),u) = w. L(x,T(y,z),u * w) = L(x,T(y,z),(y \ u) * (y \ w)). L(x,T(y,z),(y \ u) * (y \ w)) = L(x,T(y,z),u * w). L(x,T(y,z),u * (y \ w)) = L(x,T(y,z),(y * u) * w). L(x,T(y,z),(y * u) * w) = L(x,T(y,z),u * (y \ w)). x != L(y,T(z,u),w) | L(y,z,w) = x. L(x,y,z * (y \ u)) = L(x,T(y,w),(y * z) * u). L(x,T(y,z),(y * u) * w) = L(x,y,u * (y \ w)). L(x,y,(y * z) * u) = L(x,y,z * (y \ u)). L(x,y,(z \ (1 / u)) * w) != v5 | L(x,y,(z * u) \ w) = v5. L(x,y,(z / u) \ (u \ w)) = L(x,y,((u * z) \ w) * u). L(x,y,(z \ u) * (u \ w)) = L(x,y,((u * z) \ w) * u). L(x,y,((z * u) \ w) * z) = L(x,y,(u \ z) * (z \ w)). L(x,y,z * ((z * u) \ w)) = L(x,y,(u \ z) * (z \ w)). L(x,y,(z \ u) * (u \ w)) = L(x,y,u * ((u * z) \ w)). L(x,y,(((1 / z) * u) \ w) * (1 / z)) = L(x,y,(u \ (1 / z)) * T(w * z,z)). (x * L(y,z,u * ((u * w) \ v5))) \ (x * y) = a((w \ u) * (u \ v5),z,y). L(x,y,z * ((u / w) \ v5)) != v6 | L(x,y,z * ((w \ u) \ v5)) = v6. L(x,y,z \ (T(u,w) \ v5)) != v6 | L(x,y,z \ (u \ v5)) = v6. L(x,y,z \ ((u / w) \ v5)) = L(x,y,z \ (v5 * (u \ w))). L(x,y,z \ ((u / w) \ v5)) != v6 | L(x,y,z \ ((w \ u) \ v5)) = v6. L(x,y,z \ ((u \ w) \ v5)) = L(x,y,z \ (v5 * (w \ u))). L(x,y,L((z \ u) \ w,v5,v6)) = L(x,y,a(v6,v5,(z \ u) \ w) \ (w * (u \ z))). L(x,y,a(z,u,(w \ v5) \ v6) \ (v6 * (v5 \ w))) = L(x,y,L((w \ v5) \ v6,u,z)). L(x,y,z * ((u / w) \ v5)) = L(x,y,z * (v5 * (u \ w))). L(x,y,((z * u) \ w) * v5) = L(x,y,((u * z) \ w) * v5). L(x,y,((z * (u \ w)) \ v5) * v6) = L(x,y,((z * (w / u)) \ v5) * v6). L(x,y,((z * (u / w)) \ v5) * v6) = L(x,y,((z * (w \ u)) \ v5) * v6). x != L(y,z,((u / w) * v5) \ v6) | L(y,z,(v5 \ (u \ w)) * v6) = x. L(x,y,(z \ (u \ w)) * v5) = L(x,y,((T(u,v6) / w) * z) \ v5). L(x,y,((T(z,u) / w) * v5) \ v6) = L(x,y,(v5 \ (z \ w)) * v6). L(x,y,((z \ u) \ w) * v5) != v6 | L(x,y,((u \ z) * w) * v5) = v6. L(x,y,((z \ (u \ 1)) * w) * v5) = L(x,y,((u * z) \ w) * v5). L(x,y,R(z,u,w \ 1) * v5) = L(x,y,(T(u * (w \ 1),z) \ (w \ (z * u))) * v5). L(x,y,(T(z * (u \ 1),w) \ (u \ (w * z))) * v5) = L(x,y,R(w,z,u \ 1) * v5). L(x,y,z \ ((u \ w) \ v5)) != v6 | L(x,y,z \ (v5 * (w \ u))) = v6. L(x,y,z \ (u * (w \ (v5 \ 1)))) = L(x,y,z \ ((v5 * w) \ u)). L(x,y,z \ (u * (z * w))) != v5 | L(x,y,z * ((z \ u) * w)) = v5. L(x,y,z * ((z \ u) * (w \ 1))) = L(x,y,z \ (u * (w \ z))). x != a(y,z,(u * w) \ v5) | a(y,z,v5 * (w \ (u \ 1))) = x. a(x,y,z * ((z * u) \ (w \ 1))) = y \ L(y,x,z * ((z \ w) * u)). L(x,y,((z / u) * w) \ v5) != v6 | L(x,y,(w \ (z \ u)) * v5) = v6. L(x,y,(z \ (T(u,w) \ v5)) * v6) = L(x,y,(z \ (u \ v5)) * v6). x != L(y,z,((u * w) \ v5) * v6) | L(y,z,((w * u) \ v5) * v6) = x. L(x,y,((z * u) \ w) * v5) = L(x,y,((z \ (u \ 1)) * w) * v5). L(x,y,((z \ (u \ 1)) * w) * v5) = L(x,y,((z * u) \ w) * v5). L(x,y,z \ (u * (w \ v5))) = L(x,y,z \ (((1 / v5) * w) \ u)). L(x,y,z \ (((1 / u) * w) \ v5)) = L(x,y,z \ (v5 * (w \ u))). L(x,y,z * (u \ (z \ w))) = L(x,y,z \ (w * (u \ z))). L(x,y,z \ (u * (w \ z))) = L(x,y,z * (w \ (z \ u))). L(x,y,(z \ (((u \ w) \ w) \ v5)) * v6) = L(x,y,(z \ (u \ v5)) * v6). L(x,y,((z \ u) * w) * v5) = L(x,y,((z * (1 / u)) \ w) * v5). L(x,y,((z * (1 / u)) \ w) * v5) = L(x,y,((z \ u) * w) * v5). x != L(y,z,u * w) | L(y,z,w * u) = x. L(x,y,z * ((u \ w) * v5)) = L(x,y,((u * (1 / w)) \ v5) * z). L(x,y,((z * (1 / u)) \ w) * v5) = L(x,y,v5 * ((z \ u) * w)). L(x,y,((z * (1 / u)) \ w) * v5) != v6 | L(x,y,((z \ u) * w) * v5) = v6. L(x,y,z * (u * (w \ v5))) != v6 | L(x,y,z * ((v5 \ w) \ u)) = v6. L(x,y,(z \ ((u \ 1) \ w)) * v5) != v6 | L(x,y,(z \ (u * w)) * v5) = v6. L(x,y,(z \ ((u \ 1) * w)) * v5) = L(x,y,(z \ (u \ w)) * v5). L(x,y,L(T(z,u),u,w \ 1) * v5) = L(x,y,(((w \ 1) * u) \ (w \ (z * u))) * v5). L(x,y,(((z \ 1) * u) \ (z \ (w * u))) * v5) = L(x,y,L(T(w,u),u,z \ 1) * v5). L(x,y,((z * (u \ 1)) \ w) * v5) != v6 | L(x,y,((z \ u) * w) * v5) = v6. L(x,y,(((z \ 1) * u) \ w) * v5) != v6 | L(x,y,((u \ z) * w) * v5) = v6. (x \ 1) \ (a(y,z,u) \ ((x \ 1) * w)) = (w * (a(y,z,u) \ x)) / x. x \ (a(y,z,u) \ (x * w)) != v5 | x * ((x * a(y,z,u)) \ w) = v5. (x \ 1) * (((x \ 1) * a(y,z,u)) \ w) = (w * (a(y,z,u) \ x)) / x. (x \ 1) * ((x \ a(y,z,u)) \ w) = (w * (a(y,z,u) \ x)) / x. x != (y * (a(z,u,w) \ v5)) / v5 | v5 * (a(z,u,w) \ (v5 \ y)) = x. x * (a(y,z,u) \ (x \ w)) = (x \ 1) * ((x \ a(y,z,u)) \ w). (x \ 1) * ((x \ a(y,z,u)) \ w) = x * (a(y,z,u) \ (x \ w)). (x \ 1) * ((x \ a(y,z,u)) \ w) != v5 | x \ ((a(y,z,u) \ x) * w) = v5. x \ ((a(y,z,u) \ x) * w) = x * (a(y,z,u) \ (x \ w)). x != L(a(y,z,u),w * L(u,z,y),v5) | a(y,z,L(u,w,v5)) = x. a(x,y,L(z,u,w)) = a(x,y,L(z,u,(u * L(z,y,x)) * w)). a(x,y,L(z,u,(u * L(z,y,x)) * w)) = a(x,y,L(z,u,w)). a(x,y,L(z,u,L(z,y,x) * (u \ w))) = a(x,y,L(z,u,w)). L(x,y,R(T(1 / z,u),w,v5) * v6) = L(x,y,R(z,w,v5) \ v6). a(x * ((x * y) \ z),u,w) = a((y \ x) * (x \ z),u,w). a((x \ y) * (y \ z),u,w) = a(y * ((y * x) \ z),u,w). a(x,y,(z \ u) * (u \ w)) = a(u * ((u * z) \ w),x,y). a(x * ((x * y) \ z),u,w) = a(u,w,(y \ x) * (x \ z)). a(x,y,z * ((z * u) \ w)) = a(x,y,(u \ z) * (z \ w)). a(x,y,(z \ u) * (u \ w)) = a(x,y,u * ((u * z) \ w)). a(x,y,(z \ u) * (w \ z)) = a(x,y,z * ((z * w) \ u)). L(a(x,y,z),(u * z) \ z,w) = a(x,y,L(z,u \ (1 / L(z,y,x)),w)). L(a(x,y,z),u \ 1,w) = a(x,y,L(z,u \ (1 / L(z,y,x)),w)). a(x,y,L(z,u \ (1 / L(z,y,x)),w)) = L(a(x,y,z),u \ 1,w). x != L(a(y,z,u),w \ 1,v5) | L(a(y,z,u),v5,w) = x. L(a(x,y,z),u,w) = a(x,y,L(z,w \ (1 / L(z,y,x)),u)). a(x,y,L(z,u \ (1 / L(z,y,x)),w)) = L(a(x,y,z),w,u). a(x,y,L(z,u \ (L(z,y,x) \ 1),w)) = L(a(x,y,z),w,u). a(x,y,R(z,u,L(z,y,x) * w)) = L(a(x,y,z),u,w). L(x,K(y,z) * u,w) = L(x,u,w * K(y,z)). x != L(y,z,u * K(w,v5)) | L(y,z,u) = x. L(x,y,z) = L(x,K(u,w) * y,z). L(x,K(y,z) * u,w) = L(x,u,w). L(x,K(y,z) * u,w) != v5 | L(x,u,w) = v5. L(x,y * z,u) != w | L(x,z * y,u) = w. L(x,y * K(z,u),w) = L(x,y,w). L(x,y * z,u) = L(x,y * (K(w,v5) * z),u). L(x,y * (K(z,u) * w),v5) = L(x,y * w,v5). L(x,y \ (z / u),w) = L(x,y \ (u \ z),w). L(x,(y \ z) \ 1,u) != w | L(x,z \ y,u) = w. x \ y != L(z,u * (K(w,v5) * v6),v7) | x * L(z,u * v6,v7) = y. x * L(x \ 1,y * z,u) = a(x,u,y * (K(w,v5) * z)). a(x,y,z * (K(u,w) * v5)) = x * L(x \ 1,z * v5,y). x \ y != L(z,u \ (w / v5),v6) | x * L(z,u \ (v5 \ w),v6) = y. x * L(x \ 1,y \ (z \ u),w) = a(x,w,y \ (u / z)). a(x,y,z * u) = a(x,y,z * (K(w,v5) * u)). a(x,y,z * (K(u,w) * v5)) = a(x,y,z * v5). a(x,y,z * (K(u,w) * v5)) != v6 | a(x,y,z * v5) = v6. a(x,y,z) = a(x,y,z * K(u,w)). a(x,y,z * K(u,w)) = a(x,y,z). a(x,y,z * (u / w)) = a(x,y,z * (w \ u)). a(x,y,z) = a(x,y,K(u,w) * z). a(x,y,K(z,u) * w) = a(x,y,w). a(x,y,z * a(u,w,w)) = a(x,y,z). a(x,y,z \ (u * w)) = a(x,y,z \ (w * u)). a(x,y,L(T(z,u),w,v5)) = a(x,y,L(z,w,v5)). a(x,y,z \ (u * (w / u))) = a(x,y,z \ w). a(x,y,L(z * T(u,w),v5,v6)) = a(x,y,L(z * u,v5,v6)). a(x,y,K(z,u) * w) = a(x,y * K(v5,v6),w). a(x,y * K(z,u),w) = a(x,y,K(v5,v6) * w). a(x,y,z \ (K(u,w) * v5)) = a(x,y,z \ v5). a(x,y,L(z \ u,w,v5)) = a(x,y,L(T(z,v6) \ u,w,v5)). a(x,y,L(T(z,u) \ w,v5,v6)) = a(x,y,L(z \ w,v5,v6)). a(x,y,a(z,u * w,u)) = a(x,y,a(z,w,u)). a(x,y,z * (u / (w \ v5))) != v6 | a(x,y,z * (u * (v5 \ w))) = v6. a(x,y,z * (u * (w \ v5))) = a(x,y,z * ((v5 \ w) \ u)). a(x,y,z * ((u \ w) \ v5)) = a(x,y,z * (v5 * (w \ u))). a(x,y,z * ((u * w) \ (v5 * u))) = a(x,y,z * ((u \ 1) \ (w \ (u \ v5)))). a(x,y,z * ((u \ 1) \ (w \ (u \ v5)))) = a(x,y,z * ((u * w) \ (v5 * u))). a(x,y,z * ((K(u,w) * v5) / (u * v6))) = a(x,y,z * ((T(u,w) * v6) \ v5)). a(x,y,L(T(z,u \ 1) \ u,w,v5)) = a(x,y,L((z \ 1) * u,w,v5)). a(x,y,K(z,u) * w) != v5 | a(x,y,w) = v5. a(x,y,L(T(z,u),w,v5)) != v6 | a(x,y,L(z,w,v5)) = v6. a(x,y,z \ (u * T(w,v5))) = a(x,y,z \ (u * w)). a(x,y,(z * u) \ w) = a(x,y,(u * z) \ w). a(x,y,z * (u \ (w \ 1))) = a(x,y,(u * w) \ z). a(x,y,z \ (u * w)) != v5 | a(x,y,z \ (w * u)) = v5. a(x,y,z \ (T(u,w) * v5)) = a(x,y,z \ (v5 * u)). a(x,y,z \ (u * T(z * w,z))) != v5 | a(x,y,z * ((z \ u) * w)) = v5. a(x,y,z * ((z \ u) * w)) = a(x,y,z \ (u * (z * w))). a(x,y,z \ (u * (z * w))) = a(x,y,z * ((z \ u) * w)). a(x,y,(z \ u) * (u \ w)) != v5 | a(x,y,u * ((u * z) \ w)) = v5. a(x,y,z * ((z * u) \ (w \ 1))) = a(x,y,(z * w) \ (u \ z)). a(x,y,z \ (u \ w)) = a(x,y,z \ ((u \ 1) * w)). a(x,y,z \ ((u \ 1) * w)) = a(x,y,z \ (u \ w)). a(x,y,L(T(z,u),u,w \ 1)) = a(x,y,((w \ 1) * u) \ (w \ (z * u))). a(x,y,((z \ 1) * u) \ (z \ (w * u))) = a(x,y,L(T(w,u),u,z \ 1)). a(x,y,L(((z \ u) \ 1) * w,v5,v6)) != v7 | a(x,y,L(w * T(z / u,z),v5,v6)) = v7. a(x,y,z \ (u / w)) != v5 | a(x,y,z \ (w \ u)) = v5. a(x \ 1,y,z \ (x \ u)) = a(x \ 1,y,x \ (z \ u)). a(x,y,L(z * (u \ w),v5,v6)) = a(x,y,L(z * (w / u),v5,v6)). a(x,y,L(z * (u / w),v5,v6)) = a(x,y,L(z * (w \ u),v5,v6)). a(x,y,z * ((u \ 1) \ w)) = a(x,y,z * (w * u)). a(x,y \ (z \ u),z \ 1) = a(z \ 1,x,z \ (y \ u)). a(x \ 1,y,x \ (z \ u)) = a(y,z \ (x \ u),x \ 1). x != a(y,z \ u,w \ 1) | a(w,y,u \ z) = x. a(x,y,(x \ z) \ u) = a(x \ 1,y,x \ (u \ z)). a(x \ 1,y,x \ (z \ u)) = a(x,y,(x \ u) \ z). x != a(y,z,(u \ w) \ v5) | a(y,z,v5 * (w \ u)) = x. a(x,y,z * (u \ x)) = a(x \ 1,y,x \ (z \ u)). a(x \ 1,y,x \ (z \ u)) = a(x,y,z * (u \ x)). a(x,y \ (z \ u),y \ 1) = a(y,x,z * (u \ y)). a(x,y,(z \ u) \ x) = a(x,y,z * (u \ x)). a(x,y,z \ x) != u | y \ L(y,x,x * z) = u. x \ L(x,y,y * (z \ u)) = a(y,x,z * (u \ y)). x \ y != a(z,x,u * (w \ z)) | L(x,z,(z * u) \ w) = y. L(x,y,(y * z) \ u) = L(x,y,y * (z \ u)). x != L(y,z,u) | a(z,y,u) \ y = x. a(x,y,x * (z \ u)) \ y = L(y,x,(x * z) \ u). a(x,y,(x * z) \ u) = a(x,y,x * (z \ u)). a(x,y,z * ((z * u) \ (w \ 1))) != v5 | y \ L(y,x,z * ((z \ w) * u)) = v5. x \ L(x,y,z * ((z \ u) * w)) = a(y,x,(z * u) \ (w \ z)). x \ y != a(z,x,u \ (w \ v5)) | L(x,z,(v5 \ w) * u) = y. L(x,y,(z \ u) * (z * w)) = L(x,y,z * ((z \ w) * u)). L(x,y,(z \ (u \ z)) * w) != v5 | L(x,y,u \ w) = v5. L(x,y,z \ (u * w)) = L(x,y,u * ((u \ w) * (z \ u))). L(x,y,z * ((z \ u) * (w \ z))) = L(x,y,w \ (z * u)). L(x,y,z * ((z \ u) \ (z \ w))) = L(x,y,u \ (z * w)). L(x,y,z * (u \ (z \ w))) = L(x,y,(z * u) \ (z * w)). L(x,y,(z * u) \ (z * w)) = L(x,y,z * (u \ (z \ w))). x != L(y,z,u * (w \ (u \ v5))) | L(y,z,u \ (v5 * (w \ u))) = x. L(x,y,z \ (u * (w \ z))) = L(x,y,(z * w) \ (z * u)). L(x,y,(z * u) \ (z * w)) = L(x,y,z \ (w * (u \ z))). L(x,y,(z * (u * w)) \ (z * w)) != v5 | R(x,L(u,w,z),y) = v5. R(x,L(y,z,u),w) = L(x,w,u \ (z * ((y * z) \ u))). L(x,y,z \ (u * ((w * u) \ z))) = R(x,L(w,u,z),y). a(x,y,L(T(z,u) \ w,v5,v6)) != v7 | a(x,y,L(z \ w,v5,v6)) = v7. a(x,y,L(z \ u,w,v5)) = a(x,y,L((z \ 1) * u,w,v5)). a(x,y,L((z \ 1) * u,w,v5)) = a(x,y,L(z \ u,w,v5)). a(x,y,((z \ 1) * u) \ (z \ (w * u))) != v5 | a(x,y,L(w,u,z \ 1)) = v5. a(x,y,z * ((u \ 1) \ w)) != v5 | a(x,y,z * (w * u)) = v5. a(x,y,z * ((u \ (w \ v5)) * w)) = a(x,y,z * ((w * u) \ (v5 * w))). a(x,y,z * ((u * w) \ (v5 * u))) = a(x,y,z * ((w \ (u \ v5)) * u)). a(x,y,z * (K(u,w) * (v5 / (u * v6)))) = a(x,y,z * ((T(u,w) * v6) \ v5)). a(x,y,(z \ (u * w)) * (w \ z)) != v5 | a(x,y,L(u,w,z \ 1)) = v5. a(x,y,z * (u / (w * v5))) = a(x,y,z * ((T(w,v6) * v5) \ u)). a(x,y,z * ((T(u,w) * v5) \ v6)) = a(x,y,z * (v6 / (u * v5))). x != a(y,z,u * (w / v5)) | a(y,z,u * (v5 \ w)) = x. a(x,y,z * ((u * w) \ v5)) = a(x,y,z * ((T(u,v6) * w) \ v5)). a(x,y,z * ((T(u,w) * v5) \ v6)) = a(x,y,z * ((u * v5) \ v6)). a(x,y,z * ((u * w) \ v5)) = a(x,y,z * ((w * u) \ v5)). x != a(y,z,u * ((u * w) \ v5)) | a(y,z,(u \ v5) * (w \ u)) = x. a(x,y,(z \ u) * (w \ z)) = a(x,y,z * ((w * z) \ u)). a(x,y,L(z,u,w \ 1)) = a(x,y,w * ((u * w) \ (z * u))). a(x,y,z * ((u * z) \ (w * u))) = a(x,y,L(w,u,z \ 1)). a(x,y,z * ((u * w) \ (v5 * u))) != v6 | a(x,y,z * ((w \ (u \ v5)) * u)) = v6. a(x,y,z * ((z \ (u \ w)) * u)) = a(x,y,L(w,u,z \ 1)). ((x \ y) * z) \ (((x \ y) * u) * w) = ((y / x) * z) \ (((y / x) * u) * w). ((x / y) * z) \ (((x / y) * u) * w) = ((y \ x) * z) \ (((y \ x) * u) * w). L(x,y,z \ (((1 / z) * u) \ w)) = L(x,y,(u \ (1 / z)) * T(w * z,z)). L(x,y,(z \ (1 / u)) * T(w * u,u)) = L(x,y,u \ (((1 / u) * z) \ w)). x != L(y,z,u \ (((1 / w) * v5) \ v6)) | L(y,z,u \ (v6 * (v5 \ w))) = x. L(x,y,z \ (u * (w \ z))) = L(x,y,(w \ (1 / z)) * T(u * z,z)). L(x,y,(z \ (1 / u)) * T(w * u,u)) = L(x,y,u \ (w * (z \ u))). L(x,y,(z \ (1 / u)) * (w * u)) = L(x,y,u \ (w * (z \ u))). L(x,y,(z * u) \ (w * u)) = L(x,y,u \ (w * (z \ u))). L(x,y,((z * u) * w) \ (u * w)) != v5 | R(x,R(z,u,w),y) = v5. R(x,R(y,z,u),w) = L(x,w,u \ (z * ((y * z) \ u))). L(x,y,z \ (u * ((w * u) \ z))) = R(x,R(w,u,z),y). L(x,y,z \ (u * ((w * u) \ z))) != v5 | R(x,L(w,u,z),y) = v5. R(x,L(y,z,u),w) = R(x,R(y,z,u),w). R(x,R(y,z,u),w) = R(x,L(y,z,u),w). L(x,y,a(z,u \ 1,w) \ z) = R(x,L(z \ 1,u,w),y). x * y != R(z,L(u,w,v5),v6) | x \ R(z,R(u,w,v5),v6) = y. x \ R(x,R(y,z,u),w) = a(w,x,L(y,z,u)). a(x,y,R(z,u,w)) = a(x,y,L(z,u,w)). a(x,R(y,z,u),w) = a(w,x,L(y,z,u)). a(x,y,R(z,u,L(z,y,x) * w)) != v5 | L(a(x,y,z),u,w) = v5. L(a(x,y,z),u,w) = a(x,y,L(z,u,L(z,y,x) * w)). a(x,y,L(z,u,L(z,y,x) * w)) = L(a(x,y,z),u,w). a(x,y,z) = a(x,y,L(L(z,u,w),w,u)). a(x,y,L(L(z,u,w),w,u)) = a(x,y,z). a(x,L(y,z,u),w) = a(x,R(y,z,u),w). a(x,R(y,z,u),w) = a(x,L(y,z,u),w). a(x,y,L(z,u,y)) != w | a(x,y,z) = w. a(x,y,L(z,y,u)) = a(x,y,z). L(L(x,y,z),y,u) = a(u,y,x) \ L(x,y,z). a(x,y,z) \ L(z,y,u) = L(L(z,y,u),y,x). L(x,R(y,z,u),w) = a(w,L(y,z,u),x) \ x. a(x,L(y,z,u),w) \ w = L(w,R(y,z,u),x). x != L(y,z,z * (u \ z)) | R(y,u,z) = x. R(L(x,y,z),u,y) = a(y * (u \ y),y,x) \ L(x,y,z). a(x * (y \ x),x,z) \ L(z,x,u) = R(L(z,x,u),y,x). a(x,y,z) \ L(y,x,u) = L(L(y,x,u),x,z). L(x,L(y,z,u),w) = L(x,R(y,z,u),w). L(x,R(y,z,u),w) = L(x,L(y,z,u),w). a(x,y,z) \ L(y,x,u) != w | y * (x \ L(L(x,z,y),u,y)) = w. x * (y \ L(L(y,z,x),u,x)) = L(L(x,y,u),y,z). x \ L(L(x,y,z),y,u) = y \ L(L(y,z,x),u,x). x \ L(L(x,y,z),u,z) = z \ L(L(z,x,y),x,u). x != y \ L(L(y,z,z),z,u) | a(y,u \ z,z) = x. a(x,y \ z,z) = z \ L(L(z,z,x),y,x). x \ L(L(x,x,y),z,y) = a(y,z \ x,x). a(x,y,z \ x) = x \ L(L(x,x,y),z,y). x \ L(L(x,x,y),z,y) = a(x,y,z \ x). x \ y != a(z,u \ x,x) | L(x,x * u,z) = y. L(x,x * y,z) = L(L(x,x,z),y,z). L(L(x,x,y),z,y) = L(x,x * z,y). L(L(x,x,y),z,L(y,u,w)) = L(x,x * z,L(y,u,w)). x \ L(L(x,x,y),R(z,u,w),y) = a(x,y,T(x,z) * (R(z,u,w) \ 1)). a(x,y,T(x,z) * (R(z,u,w) \ 1)) = x \ L(L(x,x,y),R(z,u,w),y). a(x,y,L(z,u,L(z,y,x) * (u \ w))) != v5 | a(x,y,L(z,u,w)) = v5. a(x,y,L(z,u,w)) = L(a(x,y,z),u,u \ w). L(a(x,y,z),u,u \ w) = a(x,y,L(z,u,w)). L(a(x,y,z),u,u \ w) != v5 | L(a(x,y,z),u,w) = v5. 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). a(x,L(y,z,u),w) = L(a(w,x,y),z,u). x != L(a(y,z,u),w,v5) | R(a(y,z,u),w,v5) = x. R(a(x,y,z),u,w) = a(x,y,L(z,u,w)). a(x,y,L(z,u,w)) = R(a(x,y,z),u,w). x != L(a(y,z,u \ 1),w,v5) | a(u,y,z) \ a(w,a(u,y,z),v5) = x. a(x,y,z) \ a(u,a(x,y,z),w) = a(y,z,L(x \ 1,u,w)). x \ y != L(a(z,u,w),v5,v6) | x * a(z,u,L(w,v5,v6)) = y. (x * y) * a(z,u,L(w,y,x)) = x * (y * a(z,u,w)). a(x,y,L(L(z,u,w),w,u)) != v5 | a(x,y,z) = v5. a(x,y,z) = L(a(x,y,L(z,u,w)),w,u). L(a(x,y,L(z,u,w)),w,u) = a(x,y,z). 1 * (a(a(x,y,z),u,w) * a(a(x,y,z),u,v5)) = L(a(x,y,L(z,w,u)),v5,u) \ a(x,y,z). a(x,y,L(z,u,w)) \ (w * u) = w * (a(x,y,z) \ u). a(x,L(y,z,u),w) = L(a(x,y,w),z,u). L(a(x,y,z),u,w) != v5 | a(x,y,L(z,u,w)) = v5. a(x,y,L(z,u,w)) \ R(x,y,z) = a(u,a(x,y,z),w) * x. x != L(a(y,z,u),w,v5) | a(y,z,L(u,w,v5)) = x. a(x,y,L(z,u,w)) = a(x,L(y,u,w),z). a(x,L(y,z,u),w) = a(x,y,L(w,z,u)). x \ y != a(z,L(u,w,v5),v6) | x * a(z,u,L(v6,w,v5)) = y. x * a(x,y,L(z,u,w)) = R(x,L(y,u,w),z). L(x,a(y,z,L(u,w,v5)),u) = x. L(x,y,L(z,u,w)) = a(x,z,L(y,u,w)) \ x. a(x,y,L(z,u,w)) \ x = L(x,z,L(y,u,w)). a(x,L(y \ z,u,w),v5) \ v6 = v6 * a(x,z \ y,L(v5,u,w)). L(x,a(y,z,u),L(u,w,v5)) = x. L(x,a(y,z,u),L(y,w,v5)) = x. L(a(x,y,z) \ u,a(x,y,z),w) != v5 | w \ ((w / a(x,y,z)) * u) = v5. L(x,y,z) \ ((L(x,y,z) / a(x,u,w)) * v5) = a(x,u,w) \ v5. R(x,y,L(z,u,w)) = R(x,L(y,u,w),z). R(x,L(y,z,u),w) = R(x,y,L(w,z,u)). R(x,L(y,z,u),w) != v5 | R(x,R(y,z,u),w) = v5. R(x,R(y,z,u),w) = R(x,y,L(w,z,u)). R(x,y,L(z * u,z,u)) * ((y * z) * u) = (x * R(y,z,u)) * (z * u). L(x,L(y,z,u),w) = L(x,y,L(w,z,u)). L(x,L(y,z,u),w) != v5 | L(x,R(y,z,u),w) = v5. L(x,R(y,z,u),w) = L(x,y,L(w,z,u)). a(x,L(y,z,u),w) != v5 | a(x,y,L(w,z,u)) = v5. (x * (a(y,z,u) \ w)) \ 1 = (x * w) \ a(y,z,L(u,w,x)). (x * y) \ a(z,u,L(w,y,x)) = (x * (a(z,u,w) \ y)) \ 1. a(x,y,z) \ (u * a(z,w,v5)) = u * (a(x,y,z) \ a(z,w,v5)). K(x,y * (a(z,u,w) \ v5)) = K(x,y * v5). K(x,(y \ z) * (z \ u)) != w | K(x,y \ u) = w. K(x,y \ z) = K(x,(y \ a(u,w,v5)) * z). K(x,(y \ a(z,u,w)) * v5) = K(x,y \ v5). K(x,(y \ z) * u) != w | K(x,y \ (z * u)) = w. K(x,y \ (a(z,u,w) * v5)) = K(x,y \ v5). x != K(a(y,z,u) \ w,v5) | K(w,v5) = x. K(x,y \ z) = K(a(u,w,v5) \ x,y \ (a(v6,v7,v8) * z)). K(a(x,y,z) \ u,w \ (a(v5,v6,v7) * v8)) = K(u,w \ v8). L(x,y,L(z,u,w \ 1)) = R(x,L(z \ 1,w,u),y). R(x,L(y \ 1,z,u),w) = L(x,w,L(y,u,z \ 1)). R(x,L(y \ 1,z,u),w) = L(x,w,R(y,z,u)). L(x,y,a(z,u,w) \ z) = L(x,y,R(z,w,u)). L(x,y,L(z,u,w)) = L(x,y,R(z,u,w)). L(x,y,R(z,u,w)) = L(x,y,L(z,u,w)). L(R(x,y,z),z,u) = a(z * (y \ z),z,x) \ L(x,z,u). a(x * (y \ x),x,z) \ L(z,x,u) = L(R(z,y,x),x,u). x * K(y,y \ x) = (a(z,u,w) \ y) * (x / (a(z,u,w) \ y)). (a(x,y,z) \ u) * (w / (a(x,y,z) \ u)) = w * K(u,u \ w). a(x,y * (z \ y),y) \ L(x,y,u) = L(R(x,z,y),y,u). a(x,y,z \ 1) \ L(x,z,u) = L(R(x,y,z),z,u). a(x,y,z) * L(x,z,u) = L(R(x,y,z),z,u). a(x,y,z) * L(x,z,u) != w | x * (z \ L(R(z,x,y),u,x)) = w. x * (y \ L(R(y,x,z),u,x)) = L(R(x,z,y),y,u). a(x,y,z) \ a(u,a(x,y,z),w) = a(y,z,L(x,u,w) \ 1). a(x,y,z) \ R(x,u,w) != v5 | a(x,u,w) * L(x,z,y) = v5. a(x,y,z) * L(x,L(z,u,w),y) = a(u,a(x,y,z),w) * x. a(x,y,L(z,u,w)) \ a(x,y,z) = a(u,a(x,y,z),w). a(x,y,L(z \ u,w,v5)) \ v6 = v6 * a(y,u \ z,L(x,w,v5)). L(x,y,z) \ ((a(x,u,w) \ L(x,y,z)) * v5) = a(x,u,w) \ v5. a(x,y,z) \ (u * a(z,w,v5)) != v6 | L(z,y,x) * (L(z,v5,w) \ u) = v6. L(x,y,z) * (L(x,u,w) \ v5) = v5 * (a(z,y,x) \ a(x,w,u)). a(x,y,z) \ (u * a(z,w,v5)) != v6 | (u / L(z,v5,w)) * L(z,y,x) = v6. (x / L(y,z,u)) * L(y,w,v5) = x * (a(v5,w,y) \ a(y,u,z)). x * y != z * K(u,u \ z) | x \ (u * (z / u)) = y. (a(x,y,z) \ u) \ (u * (w / u)) = w / (a(x,y,z) \ u). (a(x,y,z) \ u) * (w / (a(x,y,z) \ u)) != v5 | u * (w / u) = v5. a(x,L(y,z,u),w \ v5) \ v6 = v6 * a(y,v5 \ w,L(x,z,u)). x \ ((a(y,z,u) \ x) * w) != v5 | x * (a(y,z,u) \ (x \ w)) = v5. L(x,y,z) * (a(x,u,w) \ (L(x,y,z) \ v5)) = a(x,u,w) \ v5. (x * (a(y,z,u) \ a(u,w,v5))) \ 1 = (x * a(u,w,v5)) \ a(u,y,z). (x / L(y,z,u)) * L(y,w,v5) = x * (a(y,v5,w) \ a(y,u,z)). a(x,L(y,z,u),w \ 1) \ v5 = v5 * a(y,w,L(x,z,u)). a(x,L(y,z,u) \ 1,w) \ v5 = v5 * a(y,w,L(x,z,u)). a(x,y,L(z,u,w) \ 1) \ v5 = v5 * a(z,x,L(y,u,w)). x \ y != z * (a(u,w,v5) \ a(u,v6,v7)) | x * ((z / L(u,v7,v6)) * L(u,v5,w)) = y. ((a(x,y,z) \ a(x,u,w)) \ 1) * ((((a(x,y,z) \ a(x,u,w)) * v5) / L(x,w,u)) * L(x,z,y)) = v5 * (a(x,y,z) \ a(x,u,w)). (x \ a(y,z,u)) * (w * (a(y,z,u) \ x)) != v5 | x * (w / x) = v5. (x * (a(y,z,u) \ a(y,w,v5))) \ 1 = (x * a(y,w,v5)) \ a(y,z,u). (x * y) \ z != (x * (a(u,w,v5) \ y)) \ 1 | a(u,w,L(v5,y,x)) = z. a(x,y,L(z,a(x,u,w),v5)) = a(x,y,z). (x * a(y,z,u)) * a(y,w,v5) = x * (a(y,z,u) * a(y,w,v5)). x = L(x,a(y,z,u),a(y,w,v5)). L(x,a(y,z,u),a(y,w,v5)) = x. x * y != (z * a(u,w,v5)) * a(u,v6,v7) | x \ (z * (a(u,w,v5) * a(u,v6,v7))) = y. a(x,y,z) \ (u * (a(x,w,v5) * a(x,y,z))) = u * a(x,w,v5). (a(x,y,z) * u) * a(x,w,v5) = a(x,y,z) * (u * a(x,w,v5)). a(x,y,z) \ (u * a(x,w,v5)) = (a(x,y,z) \ u) * a(x,w,v5). a(x,y,z) \ (u * a(x,w,v5)) != v6 | L(x,z,y) * (L(x,v5,w) \ u) = v6. L(x,y,z) * (L(x,u,w) \ v5) = (a(x,z,y) \ v5) * a(x,w,u). (a(x,y,z) \ u) * a(x,w,v5) = L(x,z,y) * (L(x,v5,w) \ u). a(x,y,T(x,z) * (R(z,u,w) \ 1)) = x \ L(L(x,x,y),z,L(y,u,w)). R(x,y,z * u) * ((y * z) * u) = (x * R(y,z,u)) * (z * u). a(x,y,T(x,z) * (R(z,u,w) \ 1)) = x \ L(x,x * z,L(y,u,w)). x != y \ L(y,y * z,u) | a(u,z \ y,y) = x. a(L(x,y,z),u \ w,w) = a(w,x,T(w,u) * (R(u,y,z) \ 1)). a(x,y,T(x,z) * (R(z,u,w) \ 1)) = a(L(y,u,w),z \ x,x). a(x,L(y,z,u),w \ x) = a(x,y,T(x,w) * (R(w,z,u) \ 1)). a(x,y,T(x,z) * (R(z,u,w) \ 1)) = a(x,L(y,u,w),z \ x). x != a(y,L(z,u,w),v5) | a(y,z,L(v5,u,w)) = x. a(x,y,L(z \ x,u,w)) = a(x,y,T(x,z) * (R(z,u,w) \ 1)). a(x,y,T(x,z) * (R(z,u,w) \ 1)) = a(x,y,L(z \ x,u,w)). a(x,y,R(z,u,w) \ x) = a(x,y,L(z \ x,u,w)). a(x,y,L(z \ x,u,w)) = a(x,y,R(z,u,w) \ x). L(x,y,a(z,u,w * (v5 \ v6)) \ (w * (v5 \ v6))) = L(x,y,L((v6 \ v5) \ w,u,z)). L(x,y,L(z * (u \ w),v5,v6)) = L(x,y,L((w \ u) \ z,v5,v6)). L(x,y,L((z \ u) \ w,v5,v6)) = L(x,y,L(w * (u \ z),v5,v6)). L(x,y,L(z * u,w,v5)) = L(x,y,L(u * (1 \ z),w,v5)). L(x,y,L(z * (1 \ u),w,v5)) = L(x,y,L(u * z,w,v5)). L(x,y,L(z * u,w,v5)) = L(x,y,L(u * z,w,v5)). a(x,y,z \ (u * (w / u))) != v5 | a(x,y,z \ w) = v5. a(x,y,z \ ((u \ w) * (z * u))) = a(x,y,L(w,u \ (u \ 1),z \ 1)). a(x,y,L(z,u \ (u \ 1),w \ 1)) = a(x,y,w \ ((u \ z) * (w * u))). x != a(y,z,u \ (w * (u * v5))) | a(y,z,u * ((u \ w) * v5)) = x. a(x,y,z * ((z \ (u \ w)) * u)) = a(x,y,L(w,u \ (u \ 1),z \ 1)). a(x,y,L(z,u \ (u \ 1),w \ 1)) = a(x,y,w * ((w \ (u \ z)) * u)). x != a(y,z,u * ((u \ (w \ v5)) * w)) | a(y,z,L(v5,w,u \ 1)) = x. a(x,y,L(z,u,w \ 1)) = a(x,y,L(z,u \ (u \ 1),w \ 1)). a(x,y,L(z,u \ (u \ 1),w \ 1)) = a(x,y,L(z,u,w \ 1)). a(x,y,L(z,u * u,w)) = a(x,y,L(z,u,w \ 1)). a(x,y,L(z,u * u,w)) = a(x,y,R(z,w,u)). x != a(y,z,R(u,w,v5)) | a(y,z,L(u,w,v5)) = x. a(x,y,L(z,u,w)) = a(x,y,L(z,w * w,u)). a(x,y,L(z,u * u,w)) = a(x,y,L(z,w,u)). a(x,y,L(z,u,w * w)) = a(x,y,L(z,w,u)). a(x,y,L(L(z,u,w),u,w)) = a(x,y,L(z,w,u)). L(a(x,y,L(z,u,w)),u * u,w) = a(x,y,z). (x * (y \ a(z,u,w))) \ 1 = T(x \ (a(z,u,w) \ y),y \ 1). T(x \ (a(y,z,u) \ w),w \ 1) = (x * (w \ a(y,z,u))) \ 1. (x * (a(y,z,u) \ a(w,v5,v6))) \ 1 != v7 | x \ (a(w,v5,v6) \ a(y,z,u)) = v7. x \ (a(y,z,u) \ a(y,w,v5)) = (x * a(y,z,u)) \ a(y,w,v5). (x * a(y,z,u)) \ a(y,w,v5) = x \ (a(y,z,u) \ a(y,w,v5)). T((a(x,y,z) \ (1 / u)) \ (w / u),a(x,y,z) * u) = (a(x,y,z) * u) * (u \ w). L(x,y,(T(z * (u \ 1),w) \ (u \ (w * z))) * v5) = L(x,y,L(w,u,z) * v5). L(x,y,((z * (u \ 1)) \ (u \ (w * z))) * v5) = L(x,y,L(w,u,z) * v5). L(x,y,((z \ u) * (u \ (w * z))) * v5) = L(x,y,L(w,u,z) * v5). L(x,y,(((z \ 1) * u) \ (z \ (w * u))) * v5) = L(x,y,R(T(w,u),z,u) * v5). x != L(y,z,R(T(u,w),v5,v6) * v7) | L(y,z,R(u,v5,v6) * v7) = x. L(x,y,R(z,u,w) * v5) = L(x,y,(((u \ 1) * w) \ (u \ (z * w))) * v5). L(x,y,(((z \ 1) * u) \ (z \ (w * u))) * v5) = L(x,y,R(w,z,u) * v5). L(x,y,((z \ u) * (u \ (w * z))) * v5) = L(x,y,R(w,u,z) * v5). L(x,y,((z \ u) * (u \ (w * z))) * v5) != v6 | L(x,y,L(w,u,z) * v5) = v6. L(x,y,L(z,u,w) * v5) = L(x,y,R(z,u,w) * v5). L(x,y,R(z,u,w) * v5) = L(x,y,L(z,u,w) * v5). x != L(y,z,u * (w \ (w / v5))) | L(y,z,v5 \ u) = x. L(x,y,z \ L(u,w,v5)) = L(x,y,R(u,w,v5) * (v6 \ (v6 / z))). L(x,y,R(z,u,w) * (v5 \ (v5 / v6))) = L(x,y,v6 \ L(z,u,w)). L(x,y,R(T(1 / z,u),w,v5) * v6) != v7 | L(x,y,R(z,w,v5) \ v6) = v7. L(x,y,R(z,u,w) \ v5) = L(x,y,L(T(1 / z,v6),u,w) * v5). L(x,y,L(T(1 / z,u),w,v5) * v6) = L(x,y,R(z,w,v5) \ v6). L(x,y,z * (u \ (u / w))) != v5 | L(x,y,w \ z) = v5. L(x,y,z \ R(u,w,v5)) = L(x,y,z \ L(u,w,v5)). L(x,y,a(z,u,w)) = L(x,y,z \ L(z,u,w)). L(x,y,z \ L(z,u,w)) = L(x,y,a(z,u,w)). L(x,y,a(z \ 1,u,w)) = L(x,y,a(z,w,u)). L(x,y,a(z \ 1,u,w)) != v5 | a(a(u,w,z),x,y) \ x = v5. a(a(x,y,z),u,w) \ u = L(u,w,a(z,y,x)). x \ y != L(y,z,u) | a(u,z,y) = x. a(a(x,y,z),u,w) = a(a(z,y,x),w,u). a(x,a(y,z,u),w) = a(a(u,z,y),w \ 1,x). a(a(x,y,z),u \ 1,w) = a(w,a(z,y,x),u). a(x,y,a(z,u,w)) = a(x,a(w,u,z),y). a(x,a(y,z,u),w) = a(x,w,a(u,z,y)). a(x,a(y,z,u),w) = a(x,w,a(y,u,z)). x != a(y,z,a(u,w,v5)) | a(y,z,a(u,v5 * w,v5)) = x. a(x,y,a(z,u * w,u)) = a(x,a(z,u,w),y). a(x,y,a(z,u * w,u)) != v5 | a(x,a(z,w \ u,u),y) = v5. a(x,a(y,z \ u,u),w) = a(x,a(y,u,z),w). L(x,y,L(1 / z,u,w) * v5) = L(x,y,R(z,u,w) \ v5). L(x,y,(1 / L(z,u,w)) * v5) = L(x,y,R(z,u,w) \ v5). L(x,y,L(z,u,w) \ v5) = L(x,y,R(z,u,w) \ v5). L(x,y,R(z,u,w) \ v5) = L(x,y,L(z,u,w) \ v5). x != L(y,z,u \ w) | y * a(z,y,w \ u) = x. x * a(y,x,z \ L(u,w,v5)) = L(x,y,R(u,w,v5) \ z). x * y != L(x,z,u \ w) | a(z,x,w \ u) = y. a(x,y,z \ R(u,w,v5)) = a(x,y,z \ L(u,w,v5)). a(x,y,(1 / z) \ u) != w | a(x,y,u * z) = w. a(x,y,R(z,u,w) * v5) = a(x,y,(1 / v5) \ L(z,u,w)). a(x,y,(1 / z) \ L(u,w,v5)) = a(x,y,R(u,w,v5) * z). a(x,y,(z * u) \ R(z,w,v5)) != v6 | a(x,y,u \ a(z,w,v5)) = v6. a(x,y,z \ a(u,w,v5)) = a(x,y,(u * z) \ L(u,w,v5)). a(x,y,(z * u) \ L(z,w,v5)) = a(x,y,u \ a(z,w,v5)). x \ y != a(z,u,w \ R(v5,v6,v7)) | x * a(z,u,w \ L(v5,v6,v7)) = y. x * a(x,y,z \ L(u,w,v5)) = R(x,y,z \ R(u,w,v5)). a(x,y,z * R(u,w,v5)) = a(x,y,(1 / L(z,z,R(u,w,v5))) \ L(u,w,v5)). a(x,y,(1 / L(z,z,R(u,w,v5))) \ L(u,w,v5)) = a(x,y,z * R(u,w,v5)). a(x,y,L(z,u,w) * v5) = a(x,y,R(z,u,w) * v5). a(x,y,R(z,u,w) * v5) = a(x,y,L(z,u,w) * v5). a(x,y,R(x,z,u) * (w \ L(x,u,z))) != v5 | a(y,w,x \ 1) = v5. a(x,y,z \ 1) = a(z,x,L(z,u,w) * (y \ L(z,w,u))). a(x,y,L(x,z,u) * (w \ L(x,u,z))) = a(y,w,x \ 1). a(x,y,(x * z) \ u) != w | a(x,y,x * (z \ u)) = w. a(x,y,x * (z \ L(x,u,w))) = a(x,y,z \ a(x,u,w)). R(x,y,z \ L(u,w,v5)) = R(x,y,z \ R(u,w,v5)). R(x,y,z \ R(u,w,v5)) = R(x,y,z \ L(u,w,v5)). L(x,L(y,z,u) \ w,v5) = R(x,v5,w \ R(y,z,u)). R(x,y,z \ R(u,w,v5)) = L(x,L(u,w,v5) \ z,y). L(x,R(y,z,u) \ w,v5) = L(x,L(y,z,u) \ w,v5). a(x,R(y,z,u) \ w,v5) = L(v5,L(y,z,u) \ w,x) \ v5. L(x,L(y,z,u) \ w,v5) \ x = a(v5,R(y,z,u) \ w,x). (x \ K(y,z)) \ L(x \ K(y,z),L(u,w,v5) \ v6,v7) = a(x,v7,R(u,w,v5) \ v6). a(x,y,x * (z \ L(x,u,w))) != v5 | a(y,z \ a(x,u,w),x) = v5. a(x,L(y,z,u) \ w,v5) = a(x,R(y,z,u) \ w,v5). a(x,R(y,z,u) \ w,v5) = a(x,L(y,z,u) \ w,v5). a(x,R(y,z,u) \ (w \ y),v5) != v6 | a(x,w \ a(z,u,y \ 1),v5) = v6. a(x,y \ a(z,u,w \ 1),v5) = a(x,L(w,z,u) \ (y \ w),v5). a(x,L(y,z,u) \ (w \ y),v5) = a(x,w \ a(z,u,y \ 1),v5). a(x,L(y,z,u) \ (w \ y),v5) != v6 | a(x,w \ a(u,z,y),v5) = v6. a(x,y \ a(z,u,w),v5) = a(x,y \ a(u,z,w \ 1),v5). a(x,y \ a(z,u,w \ 1),v5) = a(x,y \ a(u,z,w),v5). a(x,a(y,z,u) \ (w \ 1),v5) = a(x,w \ a(u,z,y),v5). a(x,y,z * a(u,w,v5)) = a(y \ 1,z \ a(v5,w,u),x). a(x \ 1,y \ a(z,u,w),v5) = a(v5,x,y * a(w,u,z)). a(x,y,a(z,u,w) \ v5) = a(x,y,v5 * a(w,u,z)). a(x,y,a(z,u,w) \ v5) = a(x,y,v5 * a(z,w,u)). a(x,y,(1 / L(z,z,L(u,w,v5))) \ L(u,w,v5)) = a(x,y,z * R(u,w,v5)). a(x,y,z * L(u,w,v5)) = a(x,y,z * R(u,w,v5)). a(x,y,z * R(u,w,v5)) = a(x,y,z * L(u,w,v5)). (x \ K(y,z)) \ L(x \ K(y,z),u,w) != v5 | a(x,w,u) = v5. a(x,y,L(z,u,w) \ v5) = a(x,y,R(z,u,w) \ v5). a(x,y,R(z,u,w) \ v5) = a(x,y,L(z,u,w) \ v5). a(x,y,R(z,u,w) \ x) != v5 | a(x,y,L(z \ x,u,w)) = v5. a(x,y,L(z \ x,u,w)) = a(x,y,L(z,u,w) \ x). a(x,y,L(z * T(u / w,u),v5,v6)) = a(x,y,L((u \ w) \ z,v5,v6)). a(x,y,L(z * T(u,w),v5,v6)) != v7 | a(x,y,L(z * u,v5,v6)) = v7. a(x,y,L(z * (u / w),v5,v6)) = a(x,y,L((u \ w) \ z,v5,v6)). a(x,y,L((z \ u) \ w,v5,v6)) = a(x,y,L(w * (z / u),v5,v6)). x != a(y,z,L(u * (w / v5),v6,v7)) | a(y,z,L(u * (v5 \ w),v6,v7)) = x. a(x,y,L(z * (u \ w),v5,v6)) = a(x,y,L((w \ u) \ z,v5,v6)). a(x,y,L((z \ u) \ w,v5,v6)) = a(x,y,L(w * (u \ z),v5,v6)). a(x,y,L(z \ x,u,w)) != v5 | a(x,y,L(z,u,w) \ x) = v5. a(x,y,L(z \ u,w,v5) \ x) = a(x,y,L(x * (u \ z),w,v5)). a(x,y,L(x * (z \ u),w,v5)) = a(x,y,L(u \ z,w,v5) \ x). x != a(y,z,L(u \ w,v5,v6) \ v7) | a(y,z,v7 * L(w \ u,v5,v6)) = x. 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,v5)) = a(x,y,x * L(z \ u,w,v5)). L(a(x,y,x * L(z \ u,w,v5)),w * w,v5) = a(x,y,x * (z \ u)). a(x,y,L(x * L(z \ u,w,v5),w * w,v5)) = a(x,y,x * (z \ u)). a(x,y,L(z,u * u,w)) != v5 | a(x,y,L(z,w,u)) = v5. a(x,y,L(x * L(z \ u,w,v5),v5,w)) = a(x,y,x * (z \ u)). T(((x * y) * a(z,u,w)) / x,a(z,u,w) * x) = (a(z,u,w) * x) * (x \ y). T(x,a(y,z,u) * w) != v5 | T(x,w) = v5. T(((x * y) * a(z,u,w)) / x,x) = (a(z,u,w) * x) * (x \ y). x \ ((x * y) * a(z,u,w)) = (a(z,u,w) * x) * (x \ y). x \ ((x * y) * a(z,u,w)) != v5 | x * ((a(z,u,w) \ x) \ y) = v5. x * ((a(y,z,u) \ x) \ w) = (a(y,z,u) * x) * (x \ w). (a(x,y,z) * u) * (u \ w) = u * ((a(x,y,z) \ u) \ w). (x * a(y,z,u)) * (x \ w) = x * ((a(y,z,u) \ x) \ w). (x * a(y,z,u)) * w = x * ((a(y,z,u) \ x) \ (x * w)). x * ((a(y,z,u) \ x) \ (x * w)) = (x * a(y,z,u)) * w. x * (y / (a(z,u,w) \ x)) = (x * a(z,u,w)) * (y / x). (x * a(y,z,u)) * (w / x) = x * (w / (a(y,z,u) \ x)). (x * a(y,z,u)) * (w / x) != v5 | (x \ w) * (a(y,z,u) * x) = v5. (x \ y) * (a(z,u,w) * x) = x * (y / (a(z,u,w) \ x)). a(x,y,z) \ (a(x,y,z) * (u / (a(x,w,v5) \ a(x,y,z)))) = (a(x,y,z) \ u) * a(x,w,v5). ((1 / x) * (1 / y)) \ (((1 / x) * ((1 / y) * L(z,y \ (x \ 1),u))) * u) = L(z,y,x) * u. 1 * (a(a(x,y,z),u,w) * a(a(x,y,z),u,v5)) = a(x,y,L(L(z,w,u),v5,u)) \ a(x,y,z). a(x,y,z) \ (a(x,y,z) * ((a(x,y,z) \ a(x,u,w)) * v5)) = (a(x,y,z) \ v5) * a(x,u,w). ((1 / x) * (1 / y)) \ (((1 / x) * ((1 / y) * R(z,u,x * y))) * u) = L(z,y,x) * u. ((x / y) * z) \ (((x / y) * u) * w) != v5 | ((y \ x) * z) \ (((y \ x) * u) * w) = v5. ((x \ 1) * (1 / y)) \ (((x \ 1) * ((1 / y) * R(z,u,x * y))) * u) = L(z,y,x) * u. ((x \ 1) * y) \ (((x \ 1) * z) * u) != w | (y \ (z * (u * x))) / x = w. ((1 / x) \ (((1 / x) * R(y,z,u * x)) * (z * u))) / u = L(y,x,u) * z. ((R(x,y,z * u) * ((y * z) * u)) / u) / z = L(x,u,z) * y. (((x * R(y,z,u)) * (z * u)) / u) / z = L(x,u,z) * y. L(x * R(y,z,u),u,z) = L(x,u,z) * y. R(L(x,y,z) * u,z,y) = x * R(u,z,y). a(x,L(y,z,u),w * R(v5,u,z)) = a(x,y,L(w,z,u) * v5). x * y != z * R(u,w,v5) | R(L(z,v5,w) * u,w,v5) / y = x. R(L(x,y,z) * (x \ u),z,y) / u = a(z,y,x \ u). R(a(x,y,z) \ u,y,z) / u = a(y,z,x \ u). a(x,y \ z,u) = R(a(y,u,x) \ z,u,x) / z. R(a(x,y,z) \ u,y,z) / u = a(z,x \ u,y). a(x,y,z * R(u,w,v5)) != v6 | a(x,y,z * L(u,w,v5)) = v6. a(x,L(y,z,u),w * L(v5,u,z)) = a(x,y,L(w,z,u) * v5). a(x,y,L(z * L(u,w,v5),v5,w)) = a(x,y,L(z,v5,w) * u). a(x,y,L(x * L(z \ u,w,v5),v5,w)) != v6 | a(x,y,x * (z \ u)) = v6. a(x,y,x * (z \ u)) = a(x,y,L(x,w,v5) * (z \ u)). a(x,y,L(x,z,u) * (w \ v5)) = a(x,y,x * (w \ v5)). a(x,y,L(x,z,u) * (w \ L(x,u,z))) != v5 | a(y,w,x \ 1) = v5. a(x,y,z \ 1) = a(z,x,z * (y \ L(z,u,w))). a(x,y,x * (z \ L(x,u,w))) = a(y,z,x \ 1). a(x,y \ a(z,u,w),z) = a(x,y,z \ 1). a(x,y,z \ 1) != u | (z \ w) \ (R(z,x,y) \ w) = u. (x \ y) \ (R(x,z,u \ a(x \ 1,w,v5)) \ y) = a(z,u,(x \ 1) \ 1). (x \ y) \ (R(x,z,u \ a(w,v5,x \ 1)) \ y) = a(z,u,(x \ 1) \ 1). (x \ y) \ (L(x,a(z,u,x \ 1) \ w,v5) \ y) = a(v5,w,(x \ 1) \ 1). (x \ y) \ (L(x,z * a(x,u,w),v5) \ y) = a(v5,z,(x \ 1) \ 1). a(x,y,z * a(x,u,w)) = a(y,z,(x \ 1) \ 1). x != a(y,z,(u \ w) \ w) | a(y,z,u) = x. a(x,y,z) = a(z,x,y * a(z,u,w)). a(x,y,z * a(x,u,w)) = a(y,z,x). a(x,y,z) = a(x,y,z * a(x,u,w)). a(x,y,z * a(x,u,w)) = a(x,y,z). 1 * (a(a(x,y,z),u,w) * a(a(x,y,z),u,w)) = a(x,y,L(z,u,w)) \ a(x,y,z). x != a(y,z,L(u,w,v5)) \ a(y,z,u) | a(w,a(y,z,u),v5) = x. a(x,a(y,z,u),w) = 1 * (a(a(y,z,u),x,w) * a(a(y,z,u),x,w)). 1 * (a(a(x,y,z),u,w) * a(a(x,y,z),u,w)) = a(u,a(x,y,z),w). a(x,y,a(z,u,w)) = 1 * (a(a(z,u,w),y,x) * a(a(z,u,w),y,x)). 1 * (a(a(x,y,z),u,w) * a(a(x,y,z),u,w)) = a(w,u,a(x,y,z)). 1 * (a(x,a(y,z,u),w) * a(a(y,z,u),w,x)) = a(x,w,a(y,z,u)). 1 * (a(x,a(y,z,u),w) * a(x,a(y,z,u),w)) = a(x,w,a(y,z,u)). a(x,a(y,z,u),w) * a(x,a(y,z,u),w) = a(x,w,a(y,z,u)). a(x,a(y,z,u),w) * a(x,a(y,u \ z,z),w) = a(x,w,a(y,u \ z,z)). a(x,a(y,z,u),w) * a(x,a(y,z,u),w) = a(x,w,a(y,u \ z,z)). a(x,a(y,z,u),w) * a(x,a(y,z,u),w) != v5 | a(x,w,a(y,z,u)) = v5. a(x,y,a(z,u,w)) = a(x,y,a(z,w \ u,u)). a(x,y,a(z,u \ w,w)) = a(x,y,a(z,w,u)). (a(x,y,z) \ a(x,u,w)) * v5 = (a(x,y,z) \ v5) * a(x,u,w). x != (a(y,z,u) \ w) * a(y,v5,v6) | L(y,u,z) * (L(y,v6,v5) \ w) = x. L(x,y,z) * (L(x,u,w) \ v5) = (a(x,z,y) \ a(x,w,u)) * v5. (a(x,y,z) \ a(x,u,w)) * v5 = L(x,z,y) * (L(x,w,u) \ v5). (a(x,y * z,L(y,u,w)) \ v5) * ((v5 * a(x,z \ y,y)) \ 1) = a(u,w,a(x,y * z,y) \ 1). a(x,y \ z,z) \ (a(a(x,z * y,z),u,w) \ K(a(x,z * y,z),v5)) = T(L(a(x,z * y,z),w,u),a(x,y \ z,z)). a(x,y \ z,z) \ (a(a(x,z * y,z),u,w) \ K(a(x,z * y,z),v5)) = T(a(x,z * y,L(z,w,u)),a(x,y \ z,z)). x != T(a(y,z,u),w) | a(y,z,u) = x. a(x,y * z,L(y,u,w)) = a(x,z \ y,y) \ (a(a(x,y * z,y),w,u) \ K(a(x,y * z,y),v5)). a(x,y \ z,z) \ (a(a(x,z * y,z),u,w) \ K(a(x,z * y,z),v5)) = a(x,z * y,L(z,w,u)). a(x,y \ z,z) \ (a(u,a(x,z * y,z),w) \ K(a(x,z * y,z),v5)) = a(x,z * y,L(z,u,w)). a(x,y \ z,z) \ (a(u,a(x,z * y,z),w) \ 1) = a(x,z * y,L(z,u,w)). a(x,y \ z,z) \ a(u,w \ 1,a(x,z * y,z)) = a(x,z * y,L(z,w,u)). a(x,y \ z,z) \ a(u,w,a(x,z * y,z) \ 1) = a(x,z * y,L(z,w,u)). a(x,y \ z,z) \ a(u,w,a(z,x \ 1,z * y)) = a(x,z * y,L(z,w,u)). a(x,y \ z,z) \ a(u,w,a(z,x,(z * y) \ 1)) = a(x,z * y,L(z,w,u)). a(x,y \ z,z) \ a(u,w,a(z,x,y \ (z \ 1))) = a(x,z * y,L(z,w,u)). a(x,y \ z,z) \ a(u,w,a(z,x,y \ z)) = a(x,z * y,L(z,w,u)). a(x,y \ z,z) \ a(u,w,a(x,y \ z,z)) = a(x,z * y,L(z,w,u)). a(x,y \ z,z) \ a(u,a(x,y \ z,z),w) = a(x,z * y,L(z,u,w)). a(x,y,z) \ a(u,a(x,y,z),w) != v5 | a(y,z,L(x,u,w) \ 1) = v5. a(x \ y,y,L(z,u,w) \ 1) = a(z,y * x,L(y,u,w)). a(x,y * z,L(y,u,w)) \ v5 = v5 * a(x,z \ y,L(y,u,w)). a(x,y \ z,L(y,u,w)) = a(x,y * z,L(y,u,w)). (x * a(y,z \ u,L(u,w,v5))) * ((x * a(y,z \ u,u)) \ 1) = a(w,v5,a(y,u * z,u) \ 1). (x * a(y,z \ u,L(u,w,v5))) * (x \ a(z \ u,u,y \ 1)) = a(w,v5,a(y,u * z,u) \ 1). (x * a(y,z \ u,L(u,w,v5))) * (x \ a(u,y \ 1,z \ u)) = a(w,v5,a(y,u * z,u) \ 1). (x * a(y,z \ u,L(u,w,v5))) * (x \ a(u,y,(z \ u) \ 1)) = a(w,v5,a(y,u * z,u) \ 1). (x * a(y,z \ u,L(u,w,v5))) * (x \ a(u,y,u \ z)) = a(w,v5,a(y,u * z,u) \ 1). (x * a(y,z \ u,L(u,w,v5))) * (x \ a(u,y,u * z)) = a(w,v5,a(y,u * z,u) \ 1). (x * a(y,z \ u,L(u,w,v5))) * (x \ a(y,u * z,u)) = a(w,v5,a(y,u * z,u) \ 1). (x * a(y,z,u)) * (x \ w) != v5 | x * ((a(y,z,u) \ x) \ w) = v5. x * ((a(y,z \ u,L(u,w,v5)) \ x) \ a(y,u * z,u)) = a(w,v5,a(y,u * z,u) \ 1). x * ((x * a(y,z \ u,L(z,w,v5))) \ a(y,z * u,z)) = a(w,v5,a(y,z * u,z) \ 1). x * ((x * a(y,z * u,L(z,w,v5))) \ a(y,z * u,z)) = a(w,v5,a(y,z * u,z) \ 1). x * (x \ (a(y,z * u,L(z,w,v5)) \ a(y,z * u,z))) = a(w,v5,a(y,z * u,z) \ 1). x * (x \ (y \ L(R(y,z * u,z),L(z,w,v5),z * u))) = a(w,v5,a(y,z * u,z) \ 1). x * (x \ (y \ L(L(y,z,u \ z),L(z,w,v5),z * u))) = a(w,v5,a(y,z * u,z) \ 1). x * (x \ (y \ L(L(y,z,u \ z),z,L(z * u,w,v5)))) = a(w,v5,a(y,z * u,z) \ 1). x \ L(L(x,y,z \ y),y,L(y * z,u,w)) = a(u,w,a(x,y * z,y) \ 1). x \ L(L(x,y,z \ y),y,L(y * z,u,w)) = a(u,w,a(y,x \ 1,y * z)). x \ L(L(x,y,z \ y),y,L(y * z,u,w)) = a(u,w,a(y,x,(y * z) \ 1)). x \ L(L(x,y,z \ y),y,L(y * z,u,w)) = a(u,w,a(y,x,y * (z \ 1))). x \ L(L(x,y,z \ y),y,L(y * z,u,w)) = a(u,w,a(y,x,z \ y)). x \ L(L(x,y,z \ y),y,L(y * z,u,w)) = a(u,w,a(x,z \ y,y)). x != a(y,z,a(u,w \ v5,v5)) | a(y,z,a(u,v5,w)) = x. a(x,y,a(z,u,w)) = z \ L(L(z,u,w \ u),u,L(u * w,x,y)). x \ L(L(x,y,z \ y),y,L(y * z,u,w)) = a(u,w,a(x,y,z)). (a(x,y,z) \ a(x,u,w)) * ((((a(x,u,w) \ a(x,y,z)) * v5) / L(x,z,y)) * L(x,w,u)) = v5 * (a(x,u,w) \ a(x,y,z)). (a(x,y,z) \ a(x,u,w)) * (((L(x,w,u) * (L(x,z,y) \ v5)) / L(x,z,y)) * L(x,w,u)) = v5 * (a(x,u,w) \ a(x,y,z)). (a(x,y,z) \ a(x,u,w)) * ((L(x,w,u) * (L(x,z,y) \ v5)) * (a(x,u,w) \ a(x,y,z))) = v5 * (a(x,u,w) \ a(x,y,z)). a(x,y,z) * ((L(x,u,w) * (L(x,z,y) \ v5)) / a(x,y,z)) = v5 * (a(x,w,u) \ a(x,y,z)). a(x,y,z) * (a(x,y,z) \ (L(x,u,w) * (L(x,z,y) \ v5))) = v5 * (a(x,w,u) \ a(x,y,z)). a(x,y,z) * (L(x,z,y) * (a(x,u,w) \ (L(x,z,y) \ v5))) = v5 * (a(x,u,w) \ a(x,y,z)). a(x,y,z) * (a(x,u,w) \ v5) = v5 * (a(x,u,w) \ a(x,y,z)). R(a(x,y,z) \ u,x,w) = u * (a(x,y,z) \ a(x,w,a(x,y,z) \ u)). x * (a(y,z,u) \ a(y,w,a(y,z,u) \ x)) = R(a(y,z,u) \ x,y,w). x * (a(y,z,u) \ a(y,w,x * a(y,u,z))) = R(a(y,z,u) \ x,y,w). x * (a(y,z,u) \ a(y,w,x)) = R(a(y,z,u) \ x,y,w). x * (a(y,z,u) \ a(x,y,w)) = R(a(y,z,u) \ x,y,w). a(x,y,z) \ R(u,x,w) = R(a(x,y,z) \ u,x,w). R(a(x,y,z) \ u,x,w) = a(x,y,z) \ R(u,x,w). R(a(x,y,z) \ u,y,w) = a(y,z,x) \ R(u,y,w). x != a(y,z,u) \ w | a(u,y,z) \ w = x. a(x,y,z) \ R(u,y,w) = R(a(x,y,z) \ u,y,w). R(a(x,y,z) \ u,y,w) = a(x,y,z) \ R(u,y,w). (a(x,y,z) \ R(u,y,z)) / u = a(z,x \ u,y). (x \ R(y,z,u)) / y != w | (y * x) \ R(y,z,u) = w. (x * a(y,z,u)) \ R(x,z,u) = a(u,y \ x,z). (x * a(y,z,u)) \ R(x,w,v5) != v6 | a(y,z,u) \ a(x,w,v5) = v6. a(x,y,z) \ a(u,y,z) = a(z,x \ u,y). a(x,y,z) \ a(y,z,u) = a(z,x \ u,y). a(x,y,z) \ a(y,z,u) != w | y \ L(R(y,z,u),x,z) = w. x \ L(R(x,y,z),u,y) = a(y,u \ z,x). x * a(x,y \ z,u) = L(R(x,z,u),u,y). L(R(x,y,z),z,u) = x * a(x,u \ y,z). x != y * a(y,z \ u,w) | L(y,w,u \ z) = x. L(x,y,z \ u) = L(R(x,z,y),y,u). L(R(x,y,z),z,u) = L(x,z,y \ u). L(R(x,y,z),z,u) != w | L(x,z,y \ u) = w. x != L(y,z,(1 / u) \ w) | L(y,z,T(w * u,v5)) = x. L(x,y,T(z * u,w)) = L(R(x,1 / u,y),y,z). L(R(x,1 / y,z),z,u) = L(x,z,T(u * y,w)). L(R(x,T(y * z,z),u),u,((1 / z) \ y) * w) = L(x,u,w). L(L(x,y,1 \ z),y,u) = L(x,y,T(u * z,w)). L(L(x,y,z),y,u) = L(x,y,T(u * z,w)). x != L(y,z,T(u,w)) | L(y,z,u) = x. L(x,y,z * u) = L(L(x,y,u),y,z). L(L(x,y,z),y,u) = L(x,y,u * z). L(L(x,y,z),y,u) != w | L(x,y,u * z) = w. L(L(x,y,z),y,u) != w | L(x,y,z * u) = w. L(x,y,z \ u) != w | L(R(x,z,y),y,u) = w. L(R(L(x,y,z),u,y),y,w) = L(x,y,(u \ w) * z). L(L(R(x,y,z),z,u),z,w) = L(x,z,(y \ w) * u). L(L(x,y,z \ u),y,w) = L(x,y,(z \ w) * u). L(x,y,z * (u \ w)) = L(x,y,(u \ z) * w). L(x,y,(z \ u) * w) = L(x,y,u * (z \ w)). L(R(x,y * z,u),u,((1 / z) \ y) * w) = L(x,u,w). L(x,y,(z \ u) * w) != v5 | L(x,y,u * (z \ w)) = v5. L(R(x,y * z,u),u,y * ((1 / z) \ w)) = L(x,u,w). L(R(x,y * z,u),u,y * (w * z)) = L(x,u,w). L(x,y,(z * u) \ (z * (w * u))) = L(x,y,w). L(x,y,L(T(z,u),u,w)) = L(x,y,z). L(x,y,L(z,u,w)) = L(x,y,z). L(x,y,z * L(u,w,v5)) = L(L(x,y,z),y,u). L(L(x,y,z),y,u) = L(x,y,z * L(u,w,v5)). L(x,y,z * u) = L(x,y,u * L(z,w,v5)). L(x,y,z * L(u,w,v5)) = L(x,y,u * z). x != L(y,z,u) | L(y,z,L(u,w,v5)) = x. L(x,y,L(z * u,w,v5)) = L(x,y,u * L(z,v6,v7)). L(x,y,L(z * u,w,v5)) != v6 | L(x,y,L(u * z,w,v5)) = v6. L(x,y,L(z * u,w,v5)) = L(x,y,z * L(u,v6,v7)). x \ L(L(x,y,z \ y),y,y * L(z,u,w)) = a(v5,v6,a(x,y,z)). a(x,y,a(z,u,w)) = z \ L(L(z,u,w \ u),u,u * L(w,v5,v6)). x != y \ L(L(y,z,u \ z),z,z * L(u,w,v5)) | a(v6,v7,a(y,z,u)) = x. a(x,y,a(z,u,w)) = a(v5,v6,a(z,u,w)). 1 = a(x,y,a(z,u,w)). a(x,y,a(z,u,w)) = 1. end_of_list. ============================== end of input ========================== ============================== PROCESS NON-CLAUSAL FORMULAS ========== % Formulas that are not ordinary clauses: 1 a(a(x,y,z),u,w) = 1 # label("aa1") # 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]. ((1 / x) \ y) * (z * x) = x * ((y * z) * x) # label("Osborn"). [assumption]. K(x,y) = K(y,x) # label("Kcom"). [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 # label("Compat 1"). [assumption]. L(x,y,z) != x | a(z,y,x) = 1 # label("Compat 2"). [assumption]. T(x,y) != x | T(y,x) = y # label("Compat 3"). [assumption]. T(x,y) != x | K(x,y) = 1 # label("Compat 4"). [assumption]. K(x,y) != 1 | T(x,y) = x # label("Compat 5"). [assumption]. 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(a(c1,c2,c3),c4,c5) != 1 # label("aa1"). [deny(1)]. end_of_list. formulas(demodulators). end_of_list. % 22565 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. c5=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, c5, *, \, 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: 2 1 * x = x. [assumption]. kept: 3 x * 1 = x. [assumption]. kept: 4 x \ (x * y) = y. [assumption]. kept: 5 x * (x \ y) = y. [assumption]. kept: 6 (x * y) / y = x. [assumption]. kept: 7 (x / y) * y = x. [assumption]. 8 (x * (y * z)) \ ((x * y) * z) = a(x,y,z) # label("associator"). [assumption]. kept: 9 a(x,y,z) = (x * (y * z)) \ ((x * y) * z). [copy(8),flip(a)]. 10 (x * y) \ (y * x) = K(y,x) # label("commutator"). [assumption]. kept: 11 K(x,y) = (y * x) \ (x * y). [copy(10),flip(a)]. 12 (x * y) \ (x * (y * z)) = L(z,y,x). [assumption]. kept: 13 L(x,y,z) = (z * y) \ (z * (y * x)). [copy(12),flip(a)]. 14 ((x * y) * z) / (y * z) = R(x,y,z). [assumption]. kept: 15 R(x,y,z) = ((x * y) * z) / (y * z). [copy(14),flip(a)]. 16 x \ (y * x) = T(y,x). [assumption]. kept: 17 T(x,y) = y \ (x * y). [copy(16),flip(a)]. kept: 18 T(T(x,y),z) = T(T(x,z),y). [assumption]. 19 T(L(x,y,z),u) = L(T(x,u),y,z). [assumption]. kept: 20 L(T(x,y),z,u) = T(L(x,z,u),y). [copy(19),flip(a)]. 21 T(R(x,y,z),u) = R(T(x,u),y,z). [assumption]. kept: 22 R(T(x,y),z,u) = T(R(x,z,u),y). [copy(21),flip(a)]. 23 L(R(x,y,z),u,w) = R(L(x,u,w),y,z). [assumption]. kept: 24 R(L(x,y,z),u,w) = L(R(x,u,w),y,z). [copy(23),flip(a)]. kept: 25 L(L(x,y,z),u,w) = L(L(x,u,w),y,z). [assumption]. kept: 26 R(R(x,y,z),u,w) = R(R(x,u,w),y,z). [assumption]. kept: 27 ((1 / x) \ y) * (z * x) = x * ((y * z) * x) # label("Osborn"). [assumption]. kept: 28 K(x,y) = K(y,x) # label("Kcom"). [assumption]. kept: 29 x * y != z | x * u != z | y = u # label("*-Cancellation 1"). [assumption]. kept: 30 x * y != z | u * y != z | x = u # label("*-Cancellation 2"). [assumption]. kept: 31 x / y != z | x / u != z | y = u # label("/-Cancellation 1"). [assumption]. kept: 32 x / y != z | u / y != z | x = u # label("/-Cancellation 2"). [assumption]. kept: 33 x \ y != z | x \ u != z | y = u # label("\-Cancellation 1"). [assumption]. kept: 34 x \ y != z | u \ y != z | x = u # label("\-Cancellation 2"). [assumption]. kept: 35 T(x,y) != z | T(u,y) != z | x = u # label("T-Cancellation 1"). [assumption]. kept: 36 L(x,y,z) != u | L(w,y,z) != u | x = w # label("L-Cancellation 1"). [assumption]. kept: 37 R(x,y,z) != u | R(w,y,z) != u | x = w # label("R-Cancellation 1"). [assumption]. kept: 38 x * y != x * z | y = z # label("*-Cancellation 3"). [assumption]. kept: 39 x * y != z * y | x = z # label("*-Cancellation 4"). [assumption]. kept: 40 x / y != x / z | y = z # label("/-Cancellation 3"). [assumption]. kept: 41 x / y != z / y | x = z # label("/-Cancellation 4"). [assumption]. kept: 42 x \ y != x \ z | y = z # label("\-Cancellation 3"). [assumption]. kept: 43 x \ y != z \ y | x = z # label("\-Cancellation 4"). [assumption]. kept: 44 T(x,y) != T(z,y) | x = z # label("T-Cancellation 2"). [assumption]. kept: 45 L(x,y,z) != L(u,y,z) | x = u # label("L-Cancellation 2"). [assumption]. kept: 46 R(x,y,z) != R(u,y,z) | x = u # label("R-Cancellation 2"). [assumption]. kept: 47 a(x,y,z) != 1 | L(z,y,x) = z # label("Compat 1"). [assumption]. kept: 48 L(x,y,z) != x | a(z,y,x) = 1 # label("Compat 2"). [assumption]. kept: 49 T(x,y) != x | T(y,x) = y # label("Compat 3"). [assumption]. kept: 50 T(x,y) != x | K(x,y) = 1 # label("Compat 4"). [assumption]. kept: 51 K(x,y) != 1 | T(x,y) = x # label("Compat 5"). [assumption]. kept: 52 x != y | x * z = y * z # label("Aux 1"). [assumption]. kept: 53 x != y | z * x = z * y # label("Aux 2"). [assumption]. kept: 54 x != y | x / z = y / z # label("Aux 3"). [assumption]. kept: 55 x != y | z / x = z / y # label("Aux 4"). [assumption]. kept: 56 x != y | x \ z = y \ z # label("Aux 5"). [assumption]. kept: 57 x != y | z \ x = z \ y # label("Aux 6"). [assumption]. kept: 58 x != y | y != z | x = z # label("Transitivity ="). [assumption]. kept: 59 a(a(c1,c2,c3),c4,c5) != 1 # label("aa1"). [deny(1)]. ============================== end of process initial clauses ======== ============================== CLAUSES FOR SEARCH ==================== % Clauses after input processing: formulas(usable). 59 a(a(c1,c2,c3),c4,c5) != 1 # label("aa1"). [deny(1)]. end_of_list. formulas(sos). 2 1 * x = x. [assumption]. 3 x * 1 = x. [assumption]. 4 x \ (x * y) = y. [assumption]. 5 x * (x \ y) = y. [assumption]. 6 (x * y) / y = x. [assumption]. 7 (x / y) * y = x. [assumption]. 9 a(x,y,z) = (x * (y * z)) \ ((x * y) * z). [copy(8),flip(a)]. 11 K(x,y) = (y * x) \ (x * y). [copy(10),flip(a)]. 13 L(x,y,z) = (z * y) \ (z * (y * x)). [copy(12),flip(a)]. 15 R(x,y,z) = ((x * y) * z) / (y * z). [copy(14),flip(a)]. 17 T(x,y) = y \ (x * y). [copy(16),flip(a)]. 18 T(T(x,y),z) = T(T(x,z),y). [assumption]. 20 L(T(x,y),z,u) = T(L(x,z,u),y). [copy(19),flip(a)]. 22 R(T(x,y),z,u) = T(R(x,z,u),y). [copy(21),flip(a)]. 24 R(L(x,y,z),u,w) = L(R(x,u,w),y,z). [copy(23),flip(a)]. 25 L(L(x,y,z),u,w) = L(L(x,u,w),y,z). [assumption]. 26 R(R(x,y,z),u,w) = R(R(x,u,w),y,z). [assumption]. 27 ((1 / x) \ y) * (z * x) = x * ((y * z) * x) # label("Osborn"). [assumption]. 28 K(x,y) = K(y,x) # label("Kcom"). [assumption]. 29 x * y != z | x * u != z | y = u # label("*-Cancellation 1"). [assumption]. 30 x * y != z | u * y != z | x = u # label("*-Cancellation 2"). [assumption]. 31 x / y != z | x / u != z | y = u # label("/-Cancellation 1"). [assumption]. 32 x / y != z | u / y != z | x = u # label("/-Cancellation 2"). [assumption]. 33 x \ y != z | x \ u != z | y = u # label("\-Cancellation 1"). [assumption]. 34 x \ y != z | u \ y != z | x = u # label("\-Cancellation 2"). [assumption]. 35 T(x,y) != z | T(u,y) != z | x = u # label("T-Cancellation 1"). [assumption]. 36 L(x,y,z) != u | L(w,y,z) != u | x = w # label("L-Cancellation 1"). [assumption]. 37 R(x,y,z) != u | R(w,y,z) != u | x = w # label("R-Cancellation 1"). [assumption]. 38 x * y != x * z | y = z # label("*-Cancellation 3"). [assumption]. 39 x * y != z * y | x = z # label("*-Cancellation 4"). [assumption]. 40 x / y != x / z | y = z # label("/-Cancellation 3"). [assumption]. 41 x / y != z / y | x = z # label("/-Cancellation 4"). [assumption]. 42 x \ y != x \ z | y = z # label("\-Cancellation 3"). [assumption]. 43 x \ y != z \ y | x = z # label("\-Cancellation 4"). [assumption]. 44 T(x,y) != T(z,y) | x = z # label("T-Cancellation 2"). [assumption]. 45 L(x,y,z) != L(u,y,z) | x = u # label("L-Cancellation 2"). [assumption]. 46 R(x,y,z) != R(u,y,z) | x = u # label("R-Cancellation 2"). [assumption]. 47 a(x,y,z) != 1 | L(z,y,x) = z # label("Compat 1"). [assumption]. 48 L(x,y,z) != x | a(z,y,x) = 1 # label("Compat 2"). [assumption]. 49 T(x,y) != x | T(y,x) = y # label("Compat 3"). [assumption]. 50 T(x,y) != x | K(x,y) = 1 # label("Compat 4"). [assumption]. 51 K(x,y) != 1 | T(x,y) = x # label("Compat 5"). [assumption]. 52 x != y | x * z = y * z # label("Aux 1"). [assumption]. 53 x != y | z * x = z * y # label("Aux 2"). [assumption]. 54 x != y | x / z = y / z # label("Aux 3"). [assumption]. 55 x != y | z / x = z / y # label("Aux 4"). [assumption]. 56 x != y | x \ z = y \ z # label("Aux 5"). [assumption]. 57 x != y | z \ x = z \ y # label("Aux 6"). [assumption]. 58 x != y | y != z | x = z # label("Transitivity ="). [assumption]. end_of_list. formulas(demodulators). end_of_list. % 17079 hints (22565 processed, 5486 redundant). ============================== end of clauses for search ============= ============================== SEARCH ================================ % Starting search at 0.46 seconds. given #1 (I,wt=5): 2 1 * x = x. [assumption]. given #2 (I,wt=5): 3 x * 1 = x. [assumption]. given #3 (I,wt=7): 4 x \ (x * y) = y. [assumption]. given #4 (I,wt=7): 5 x * (x \ y) = y. [assumption]. given #5 (I,wt=7): 6 (x * y) / y = x. [assumption]. given #6 (I,wt=7): 7 (x / y) * y = x. [assumption]. given #7 (I,wt=16): 9 a(x,y,z) = (x * (y * z)) \ ((x * y) * z). [copy(8),flip(a)]. given #8 (I,wt=11): 11 K(x,y) = (y * x) \ (x * y). [copy(10),flip(a)]. given #9 (I,wt=14): 13 L(x,y,z) = (z * y) \ (z * (y * x)). [copy(12),flip(a)]. given #10 (I,wt=14): 15 R(x,y,z) = ((x * y) * z) / (y * z). [copy(14),flip(a)]. given #11 (I,wt=9): 17 T(x,y) = y \ (x * y). [copy(16),flip(a)]. given #12 (I,wt=11): 18 T(T(x,y),z) = T(T(x,z),y). [assumption]. given #13 (I,wt=13): 20 L(T(x,y),z,u) = T(L(x,z,u),y). [copy(19),flip(a)]. given #14 (I,wt=13): 22 R(T(x,y),z,u) = T(R(x,z,u),y). [copy(21),flip(a)]. given #15 (I,wt=15): 24 R(L(x,y,z),u,w) = L(R(x,u,w),y,z). [copy(23),flip(a)]. given #16 (I,wt=15): 25 L(L(x,y,z),u,w) = L(L(x,u,w),y,z). [assumption]. given #17 (I,wt=15): 26 R(R(x,y,z),u,w) = R(R(x,u,w),y,z). [assumption]. given #18 (I,wt=17): 27 ((1 / x) \ y) * (z * x) = x * ((y * z) * x) # label("Osborn"). [assumption]. given #19 (I,wt=7): 28 K(x,y) = K(y,x) # label("Kcom"). [assumption]. given #20 (I,wt=13): 29 x * y != z | x * u != z | y = u # label("*-Cancellation 1"). [assumption]. given #21 (I,wt=13): 30 x * y != z | u * y != z | x = u # label("*-Cancellation 2"). [assumption]. given #22 (I,wt=13): 31 x / y != z | x / u != z | y = u # label("/-Cancellation 1"). [assumption]. given #23 (I,wt=13): 32 x / y != z | u / y != z | x = u # label("/-Cancellation 2"). [assumption]. given #24 (I,wt=13): 33 x \ y != z | x \ u != z | y = u # label("\-Cancellation 1"). [assumption]. given #25 (I,wt=13): 34 x \ y != z | u \ y != z | x = u # label("\-Cancellation 2"). [assumption]. given #26 (I,wt=13): 35 T(x,y) != z | T(u,y) != z | x = u # label("T-Cancellation 1"). [assumption]. given #27 (I,wt=15): 36 L(x,y,z) != u | L(w,y,z) != u | x = w # label("L-Cancellation 1"). [assumption]. given #28 (I,wt=15): 37 R(x,y,z) != u | R(w,y,z) != u | x = w # label("R-Cancellation 1"). [assumption]. given #29 (I,wt=10): 38 x * y != x * z | y = z # label("*-Cancellation 3"). [assumption]. given #30 (I,wt=10): 39 x * y != z * y | x = z # label("*-Cancellation 4"). [assumption]. given #31 (I,wt=10): 40 x / y != x / z | y = z # label("/-Cancellation 3"). [assumption]. given #32 (I,wt=10): 41 x / y != z / y | x = z # label("/-Cancellation 4"). [assumption]. given #33 (I,wt=10): 42 x \ y != x \ z | y = z # label("\-Cancellation 3"). [assumption]. given #34 (I,wt=10): 43 x \ y != z \ y | x = z # label("\-Cancellation 4"). [assumption]. given #35 (I,wt=10): 44 T(x,y) != T(z,y) | x = z # label("T-Cancellation 2"). [assumption]. given #36 (I,wt=12): 45 L(x,y,z) != L(u,y,z) | x = u # label("L-Cancellation 2"). [assumption]. given #37 (I,wt=12): 46 R(x,y,z) != R(u,y,z) | x = u # label("R-Cancellation 2"). [assumption]. given #38 (I,wt=12): 47 a(x,y,z) != 1 | L(z,y,x) = z # label("Compat 1"). [assumption]. given #39 (I,wt=12): 48 L(x,y,z) != x | a(z,y,x) = 1 # label("Compat 2"). [assumption]. given #40 (I,wt=10): 49 T(x,y) != x | T(y,x) = y # label("Compat 3"). [assumption]. given #41 (I,wt=10): 50 T(x,y) != x | K(x,y) = 1 # label("Compat 4"). [assumption]. given #42 (I,wt=10): 51 K(x,y) != 1 | T(x,y) = x # label("Compat 5"). [assumption]. given #43 (I,wt=10): 52 x != y | x * z = y * z # label("Aux 1"). [assumption]. given #44 (I,wt=10): 53 x != y | z * x = z * y # label("Aux 2"). [assumption]. given #45 (I,wt=10): 54 x != y | x / z = y / z # label("Aux 3"). [assumption]. given #46 (I,wt=10): 55 x != y | z / x = z / y # label("Aux 4"). [assumption]. given #47 (I,wt=10): 56 x != y | x \ z = y \ z # label("Aux 5"). [assumption]. given #48 (I,wt=10): 57 x != y | z \ x = z \ y # label("Aux 6"). [assumption]. given #49 (I,wt=9): 58 x != y | y != z | x = z # label("Transitivity ="). [assumption]. given #50 (H,wt=5): 60 1 \ x = x. [para(2(a,1),4(a,1,2))]. given #51 (H,wt=5): 61 x \ x = 1. [para(3(a,1),4(a,1,2))]. given #52 (H,wt=5): 69 x / x = 1. [para(2(a,1),6(a,1,1))]. given #53 (H,wt=5): 70 x / 1 = x. [para(3(a,1),6(a,1,1))]. given #54 (H,wt=5): 97 T(x,x) = x. [para(17(a,2),4(a,1))]. given #55 (H,wt=5): 150 K(x,x) = 1. [hyper(58,a,11,a,b,61,a)]. given #56 (H,wt=7): 72 x / (y \ x) = y. [para(5(a,1),6(a,1,1))]. given #57 (H,wt=7): 74 (x / y) \ x = y. [para(7(a,1),4(a,1,2))]. given #58 (H,wt=7): 96 T(1,x) = x \ x. [para(2(a,1),17(a,2,2))]. given #59 (H,wt=5): 179 T(1,x) = 1. [hyper(58,a,96,a,b,61,a)]. => 180 back subsumes hint matchers not on Sos. Reset weight to 507.000. given #60 (H,wt=5): 182 T(x,1) = x. [hyper(49,a,179,a)]. given #61 (H,wt=7): 151 (x \ x) * y = y. [para(61(a,2),2(a,1,1))]. given #62 (H,wt=7): 152 x * (y \ y) = x. [para(61(a,2),3(a,1,2))]. given #63 (H,wt=7): 157 T(x,T(x,y)) = x. [hyper(35,a,18,a,b,97,a(flip))]. given #64 (H,wt=8): 115 1 * x != y | x = y. [para(2(a,1),38(a,2))]. given #65 (H,wt=8): 119 x * 1 != y | y = x. [para(3(a,1),39(a,1)),flip(a)]. given #66 (H,wt=8): 120 x * 1 != y | x = y. [para(3(a,1),39(a,2))]. given #67 (H,wt=8): 149 1 \ x != y | x = y. [para(60(a,1),42(a,2))]. given #68 (H,wt=8): 155 T(x,R(x,y,z)) = x. [hyper(37,a,22,a,b,97,a(flip))]. given #69 (H,wt=8): 156 T(x,L(x,y,z)) = x. [hyper(36,a,20,a,b,97,a(flip))]. given #70 (H,wt=8): 183 T(x,y) != 1 | 1 = x. [para(179(a,1),44(a,1)),flip(a)]. given #71 (H,wt=8): 193 1 != x | y \ y = x. [para(152(a,1),115(a,1))]. given #72 (H,wt=9): 64 (x * (x \ 1)) * y = y. [para(5(a,2),2(a,1,1))]. given #73 (H,wt=9): 65 x * (y * (y \ 1)) = x. [para(5(a,2),3(a,1,2))]. given #74 (H,wt=9): 73 ((1 / x) * x) * y = y. [para(7(a,2),2(a,1,1))]. given #75 (H,wt=9): 98 x * T(y,x) = y * x. [para(17(a,2),5(a,1,2))]. given #76 (H,wt=9): 100 T(x / y,y) = y \ x. [para(7(a,1),17(a,2,2))]. given #77 (H,wt=9): 144 (x / y) * y = x * 1. [hyper(58,a,7,a,b,3,a(flip))]. given #78 (H,wt=9): 146 x * (x \ y) = y * 1. [hyper(58,a,5,a,b,3,a(flip))]. given #79 (H,wt=9): 147 (x * (x \ 1)) \ y = y. [para(5(a,2),60(a,1,1))]. given #80 (H,wt=9): 148 ((1 / x) * x) \ y = y. [para(7(a,2),60(a,1,1))]. given #81 (H,wt=9): 153 x / (y * (y \ 1)) = x. [para(5(a,2),70(a,1,2))]. given #82 (H,wt=9): 154 x / ((1 / y) * y) = x. [para(7(a,2),70(a,1,2))]. given #83 (H,wt=9): 158 T(T(x,y),x) = T(x,y). [para(97(a,1),18(a,1,1)),flip(a)]. given #84 (H,wt=9): 170 (x * y) / T(x,y) = y. [para(17(a,2),72(a,1,2))]. given #85 (H,wt=9): 185 T(x,y * (y \ 1)) = x. [para(5(a,2),182(a,1,2))]. given #86 (H,wt=9): 205 T((x * y) / x,x) = y. [hyper(29,a,7,a(flip),b,98,a),flip(a)]. given #87 (H,wt=9): 206 (x * T(y,x)) / x = y. [hyper(30,a,7,a,b,98,a(flip))]. given #88 (H,wt=9): 207 x \ (y * T(x,y)) = y. [hyper(29,a,5,a,b,98,a(flip))]. given #89 (H,wt=9): 228 x \ (y * (y \ x)) = 1. [hyper(29,a,5,a,b,146,a(flip))]. given #90 (H,wt=10): 117 x * y != z | x \ z = y. [para(5(a,1),38(a,1)),flip(a)]. given #91 (H,wt=10): 121 x * (y \ z) != z | y = x. [para(5(a,1),39(a,1)),flip(a)]. given #92 (H,wt=10): 122 x * y != z | z / y = x. [para(7(a,1),39(a,1)),flip(a)]. given #93 (H,wt=10): 125 x / y != z | z * y = x. [para(6(a,1),41(a,1)),flip(a)]. given #94 (H,wt=8): 244 x != y | y * 1 = x. [para(70(a,1),125(a,1))]. given #95 (H,wt=10): 127 x \ y != z | x * z = y. [para(4(a,1),42(a,1)),flip(a)]. given #96 (H,wt=8): 245 x != y | 1 * y = x. [para(60(a,1),127(a,1))]. given #97 (H,wt=10): 129 x \ (y * z) != z | y = x. [para(4(a,1),43(a,1)),flip(a)]. given #98 (H,wt=10): 172 x / y != z | z \ x = y. [para(72(a,1),40(a,1)),flip(a)]. given #99 (H,wt=10): 178 x \ y != z | y / z = x. [para(74(a,1),43(a,1)),flip(a)]. given #100 (H,wt=10): 187 (x \ x) * y != z | y = z. [para(151(a,1),38(a,2))]. given #101 (H,wt=8): 246 x \ x != y | 1 = y. [para(3(a,1),187(a,1))]. given #102 (H,wt=10): 190 x * (y \ y) != z | x = z. [para(152(a,1),39(a,2))]. given #103 (H,wt=10): 198 T(x,L(T(x,y),z,u)) = x. [hyper(35,a,18,a,b,156,a(flip))]. given #104 (H,wt=10): 227 (x / y) * y != z | x = z. [para(144(a,2),120(a,1))]. given #105 (H,wt=10): 230 x * (x \ y) != z | y = z. [para(146(a,2),120(a,1))]. given #106 (H,wt=11): 62 x \ (y \ (y * (x * z))) = z. [para(4(a,2),4(a,1,2))]. given #107 (H,wt=11): 63 x \ (x * (y \ (y * z))) = z. [para(4(a,2),4(a,1))]. given #108 (H,wt=11): 66 x \ (y * (y \ (x * z))) = z. [para(5(a,2),4(a,1,2))]. given #109 (H,wt=11): 67 x * (y \ (y * (x \ z))) = z. [para(4(a,2),5(a,1,2))]. given #110 (H,wt=10): 253 x != y | z * (z \ x) = y. [para(67(a,1),230(a,1))]. given #111 (H,wt=11): 68 x * (y * (y \ (x \ z))) = z. [para(5(a,2),5(a,1,2))]. given #112 (H,wt=11): 71 x * (((x \ y) * z) / z) = y. [para(6(a,2),5(a,1,2))]. given #113 (H,wt=11): 75 x \ (((x * y) / z) * z) = y. [para(7(a,2),4(a,1,2))]. given #114 (H,wt=11): 76 (x \ (x * (y / z))) * z = y. [para(4(a,2),7(a,1,1))]. given #115 (H,wt=11): 77 (((x * y) / z) * z) / y = x. [para(7(a,2),6(a,1,1))]. given #116 (H,wt=11): 78 (((x / y) / z) * z) * y = x. [para(7(a,2),7(a,1,1))]. given #117 (H,wt=11): 81 (x * y) * K(y,x) = y * x. [para(11(a,2),5(a,1,2))]. given #118 (H,wt=11): 99 T(x,x \ y) = (x \ y) \ y. [para(5(a,1),17(a,2,2))]. given #119 (H,wt=11): 109 K(x,y) = (x * y) \ (y * x). [para(28(a,1),11(a,1))]. given #120 (H,wt=11): 110 x != y | 1 * z != y | x = z. [para(2(a,1),29(a,1))]. given #121 (H,wt=9): 272 x != y | z != y | x = z. [para(2(a,1),110(b,1))]. given #122 (H,wt=11): 111 1 * x != y | z != y | x = z. [para(2(a,1),29(b,1))]. given #123 (H,wt=11): 135 ((x / y) * y) * z = x * z. [hyper(52,a,7,a)]. given #124 (H,wt=11): 136 (x * (x \ y)) * z = y * z. [hyper(52,a,5,a)]. given #125 (H,wt=11): 137 x * (y * (y \ z)) = x * z. [hyper(53,a,5,a)]. given #126 (H,wt=11): 138 x * (y \ (y * z)) = x * z. [hyper(53,a,4,a)]. given #127 (H,wt=11): 139 ((x / y) * y) / z = x / z. [hyper(54,a,7,a)]. given #128 (H,wt=11): 140 (x * (x \ y)) / z = y / z. [hyper(54,a,5,a)]. given #129 (H,wt=11): 141 (x * (x \ y)) \ z = y \ z. [hyper(56,a,5,a)]. given #130 (H,wt=11): 142 (x * y) / y = (x / z) * z. [hyper(58,a,7,a,b,6,a(flip)),flip(a)]. given #131 (H,wt=10): 279 (x * y) / y != z | x = z. [para(142(a,2),227(a,1))]. given #132 (H,wt=10): 280 x / (y \ x) != z | y = z. [para(5(a,1),279(a,1,1))]. given #133 (H,wt=11): 143 (x / y) * y = z * (z \ x). [hyper(58,a,7,a,b,5,a(flip))]. given #134 (H,wt=11): 145 x \ (x * y) = z * (z \ y). [hyper(58,a,5,a,b,4,a(flip)),flip(a)]. given #135 (H,wt=10): 287 x \ (x * y) != z | y = z. [para(145(a,2),190(a,1))]. given #136 (H,wt=10): 290 (x / y) \ x != z | y = z. [para(7(a,1),287(a,1,2))]. given #137 (H,wt=11): 159 T(L(x,y,z),x) = L(x,y,z). [para(97(a,1),20(a,1,1)),flip(a)]. given #138 (H,wt=11): 160 T(R(x,y,z),x) = R(x,y,z). [para(97(a,1),22(a,1,1)),flip(a)]. given #139 (H,wt=11): 161 x / (y \ x) = z / (y \ z). [hyper(58,a,72,a,b,72,a(flip))]. given #140 (H,wt=11): 162 x / (y \ x) = (y / z) * z. [hyper(58,a,72,a,b,7,a(flip))]. given #141 (H,wt=11): 163 (x * y) / y = z / (x \ z). [hyper(58,a,72,a,b,6,a(flip)),flip(a)]. given #142 (H,wt=11): 164 x / (y \ x) = z * (z \ y). [hyper(58,a,72,a,b,5,a(flip))]. given #143 (H,wt=11): 165 (x / (y \ x)) * z = y * z. [hyper(52,a,72,a)]. given #144 (H,wt=11): 168 (x * y) / K(x,y) = y * x. [para(11(a,2),72(a,1,2))]. given #145 (H,wt=11): 173 (x / y) \ x = z * (z \ y). [hyper(58,a,74,a,b,5,a(flip))]. given #146 (H,wt=11): 174 ((x / y) \ x) * z = y * z. [hyper(52,a,74,a)]. given #147 (H,wt=11): 175 x * ((y / (x \ z)) \ y) = z. [hyper(33,a,4,a,b,74,a(flip))]. given #148 (H,wt=11): 176 ((x / (y / z)) \ x) * z = y. [hyper(32,a,6,a,b,74,a(flip))]. given #149 (H,wt=11): 197 T(x,L(L(x,y,z),u,w)) = x. [hyper(36,a,20,a,b,156,a(flip))]. given #150 (H,wt=11): 203 (x \ y) * T(x,x \ y) = y. [hyper(58,a,98,a,b,5,a)]. given #151 (H,wt=11): 218 T(x,y) * x = x * T(x,y). [para(157(a,1),98(a,1,2))]. given #152 (H,wt=11): 220 T(x / (x / y),x / y) = y. [hyper(58,a,100,a,b,74,a)]. given #153 (H,wt=11): 226 T(x / y,y \ x) = x / y. [para(100(a,1),157(a,1,2))]. given #154 (H,wt=11): 232 K(x \ 1,x) = (x \ 1) * x. [hyper(58,a,11,a,b,147,a)]. given #155 (H,wt=11): 234 K(x,1 / x) = x * (1 / x). [hyper(58,a,11,a,b,148,a)]. given #156 (H,wt=11): 239 x / T(y,y \ x) = y \ x. [para(5(a,1),170(a,1,1))]. given #157 (H,wt=11): 273 x / (y \ ((x / z) * z)) = y. [hyper(58,a,72,a(flip),b,139,a),flip(a)]. given #158 (H,wt=11): 275 x / (y \ ((x * z) / z)) = y. [hyper(121,a,142,a(flip)),flip(a)]. given #159 (H,wt=11): 300 ((x / y) \ x) * (y \ z) = z. [hyper(272,a,5,a(flip),b,174,a),flip(a)]. given #160 (H,wt=10): 313 x != y | (z / x) \ z = y. [para(300(a,1),190(a,1))]. given #161 (H,wt=11): 301 (x / y) * ((z / y) \ z) = x. [para(74(a,1),175(a,1,2,1,2))]. given #162 (H,wt=11): 305 T(x \ y,y / x) = x \ y. [hyper(49,a,226,a)]. given #163 (H,wt=11): 308 (x \ 1) \ K(x \ 1,x) = x. [hyper(117,a,232,a(flip))]. given #164 (H,wt=12): 84 x \ (1 * (x * y)) = L(y,x,1). [para(2(a,1),13(a,2,1)),flip(a)]. given #165 (H,wt=12): 85 (x * 1) \ (x * y) = L(y,1,x). [para(2(a,1),13(a,2,2,2)),flip(a)]. given #166 (H,wt=10): 316 x \ (x * y) = L(y,1,x). [para(3(a,1),85(a,1,1))]. given #167 (H,wt=6): 317 L(x,1,y) = x. [hyper(287,a,316,a),flip(a)]. given #168 (H,wt=9): 318 L(x,1,y) != z | x = z. [para(316(a,1),287(a,1))]. given #169 (H,wt=12): 86 (x * y) \ (x * y) = L(1,y,x). [para(3(a,1),13(a,2,2,2)),flip(a)]. given #170 (H,wt=6): 320 L(1,x,y) = 1. [hyper(246,a,86,a),flip(a)]. given #171 (H,wt=9): 321 L(1,x,y) != z | 1 = z. [para(86(a,1),246(a,1))]. given #172 (H,wt=12): 116 (x * y) * 1 != x * z | z = y. [para(3(a,2),38(a,2)),flip(a)]. given #173 (H,wt=10): 323 x * y != x * z | z = y. [para(3(a,1),116(a,1))]. given #174 (H,wt=12): 128 T(x,y) != y \ z | x * y = z. [para(17(a,2),42(a,1))]. given #175 (H,wt=12): 191 (x * (x \ 1)) * y != z | y = z. [para(5(a,2),115(a,1,1))]. given #176 (H,wt=12): 192 ((1 / x) * x) * y != z | y = z. [para(7(a,2),115(a,1,1))]. given #177 (H,wt=12): 194 x * (y * (y \ 1)) != z | x = z. [para(5(a,2),120(a,1,2))]. given #178 (H,wt=12): 195 (x * (x \ 1)) \ y != z | y = z. [para(5(a,2),149(a,1,1))]. given #179 (H,wt=12): 196 ((1 / x) * x) \ y != z | y = z. [para(7(a,2),149(a,1,1))]. given #180 (H,wt=12): 200 L(x \ 1,x,y) = (y * x) \ y. [para(65(a,1),13(a,2,2))]. given #181 (H,wt=12): 202 R(1 / x,x,y) = y / (x * y). [para(73(a,1),15(a,2,1))]. given #182 (H,wt=12): 216 x * y != z * x | T(z,x) = y. [para(98(a,1),38(a,1)),flip(a)]. given #183 (H,wt=12): 217 x * T(y,x) != z * x | y = z. [para(98(a,2),39(a,1))]. given #184 (H,wt=12): 225 T(x,y) != y \ z | z / y = x. [para(100(a,1),44(a,1)),flip(a)]. given #185 (H,wt=12): 229 x * 1 != y * z | y \ x = z. [para(146(a,1),38(a,1))]. given #186 (H,wt=12): 236 x / (y * (y \ 1)) != z | x = z. [para(153(a,1),41(a,2))]. given #187 (H,wt=12): 238 x / ((1 / y) * y) != z | x = z. [para(154(a,1),41(a,2))]. given #188 (H,wt=12): 240 T(x,y * (y \ 1)) != z | x = z. [para(185(a,1),44(a,2))]. given #189 (H,wt=12): 242 T(x,y) != z | (y * z) / y = x. [para(205(a,1),44(a,1)),flip(a)]. given #190 (H,wt=12): 243 x * y != z | T(x,y) = y \ z. [para(98(a,1),117(a,1)),flip(b)]. given #191 (H,wt=12): 248 x * T(y,x) != z | y * x = z. [para(170(a,1),227(a,1,1))]. given #192 (H,wt=12): 249 x * y != z | y * T(x,y) = z. [para(206(a,1),227(a,1,1))]. given #193 (H,wt=12): 274 x \ (y * (y \ x)) != z | 1 = z. [para(141(a,1),246(a,1))]. given #194 (H,wt=12): 281 (x * T(y,x)) / x != z | y = z. [para(98(a,2),279(a,1,1))]. given #195 (H,wt=12): 289 x \ (1 * (x * y)) != z | y = z. [para(2(a,2),287(a,1,2))]. given #196 (H,wt=6): 345 L(x,y,1) = x. [hyper(289,a,84,a),flip(a)]. given #197 (H,wt=12): 291 x \ (y * x) != z | T(y,x) = z. [para(98(a,1),287(a,1,2))]. given #198 (H,wt=10): 346 x \ x != y | T(1,x) = y. [para(2(a,1),291(a,1,2))]. given #199 (H,wt=12): 292 x \ (y * 1) != z | x \ y = z. [para(146(a,1),287(a,1,2))]. given #200 (H,wt=12): 326 L(x \ 1,x,1 / x) = 1 / x. [hyper(272,a,148,a(flip),b,200,a),flip(a)]. given #201 (H,wt=12): 328 x / L(y \ 1,y,x) = x * y. [hyper(178,a,200,a(flip))]. given #202 (H,wt=12): 333 R(1 / x,x,y) \ y = x * y. [hyper(172,a,202,a(flip))]. given #203 (H,wt=12): 347 x \ y != z | T(y / x,x) = z. [para(7(a,1),291(a,1,2))]. given #204 (H,wt=13): 82 x \ ((y \ x) * y) = K(y \ x,y). [para(5(a,1),11(a,2,1)),flip(a)]. given #205 (H,wt=13): 83 x \ (y * (x / y)) = K(y,x / y). [para(7(a,1),11(a,2,1)),flip(a)]. given #206 (H,wt=13): 101 x \ (T(y,z) * x) = T(T(y,x),z). [para(18(a,1),17(a,1)),flip(a)]. given #207 (H,wt=13): 102 T(x \ (y * x),z) = T(T(y,z),x). [para(17(a,1),18(a,1,1))]. given #208 (H,wt=13): 112 x != y | z * u != y | z \ x = u. [para(5(a,1),29(a,1))]. given #209 (H,wt=13): 113 x != y | z * u != y | x / u = z. [para(7(a,1),30(a,1))]. given #210 (H,wt=13): 114 x != y | z \ u != y | z * x = u. [para(4(a,1),33(a,1))]. given #211 (H,wt=13): 186 x * (((1 / x) * y) * x) = y * x. [hyper(58,a,27,a(flip),b,151,a)]. given #212 (H,wt=11): 365 T(x,y) = ((1 / y) * x) * y. [hyper(216,a,186,a)]. given #213 (H,wt=11): 368 T((1 / x) \ y,x) = y * x. [hyper(272,a,136,a(flip),b,365,a),flip(a)]. given #214 (H,wt=11): 369 T(x,y) / y = (1 / y) * x. [hyper(113,a,365,a,b,xx)]. given #215 (H,wt=13): 204 (x * T(y,x)) * z = (y * x) * z. [hyper(52,a,98,a)]. given #216 (H,wt=13): 208 x * (y * (y \ T(z,x))) = z * x. [para(5(a,2),98(a,1,2))]. given #217 (H,wt=13): 212 x * T(T(y,x),z) = T(y,z) * x. [para(18(a,1),98(a,1,2))]. given #218 (H,wt=13): 219 L(x,y,z) * x = x * L(x,y,z). [para(156(a,1),98(a,1,2))]. given #219 (H,wt=13): 222 T(T(x / y,z),y) = T(y \ x,z). [para(100(a,1),18(a,1,1)),flip(a)]. given #220 (H,wt=13): 241 T(T((x * y) / x,z),x) = T(y,z). [para(205(a,1),18(a,1,1)),flip(a)]. given #221 (H,wt=13): 259 x * K(y \ x,y) = (y \ x) * y. [para(5(a,1),81(a,1,1))]. given #222 (H,wt=13): 260 x * K(y,x / y) = y * (x / y). [para(7(a,1),81(a,1,1))]. given #223 (H,wt=13): 307 x * T(x \ 1,x) = K(x \ 1,x). [hyper(272,a,98,a,b,232,a)]. given #224 (H,wt=13): 366 ((1 / x) \ y) * x = x * (y * x). [para(5(a,1),186(a,1,2,1)),flip(a)]. given #225 (H,wt=13): 373 (1 / x) * T(x,y) = T(x,y) / x. [hyper(113,a,158,a(flip),b,365,a(flip)),flip(a)]. given #226 (H,wt=13): 374 (1 / T(x,y)) * x = x / T(x,y). [hyper(113,a,157,a(flip),b,365,a(flip)),flip(a)]. given #227 (H,wt=13): 376 (1 / x) * (y / x) = (x \ y) / x. [hyper(113,a,100,a(flip),b,365,a(flip)),flip(a)]. given #228 (H,wt=13): 378 (x * y) * (x \ 1) = T(y,x \ 1). [para(72(a,1),365(a,2,1,1)),flip(a)]. given #229 (H,wt=13): 380 (x * (y * x)) / x = (1 / x) \ y. [hyper(242,a,368,a)]. given #230 (H,wt=13): 383 T(x \ y,x \ 1) = y * (x \ 1). [para(72(a,1),368(a,1,1,1))]. given #231 (H,wt=13): 403 T(x,1 / x) / x = x * (1 / x). [hyper(248,a,373,a),flip(a)]. given #232 (H,wt=13): 404 (T(x,y) / x) / T(x,y) = 1 / x. [hyper(122,a,373,a)]. given #233 (H,wt=13): 409 (x * (1 / x)) * (x \ 1) = 1 / x. [hyper(272,a,226,a(flip),b,378,a),flip(a)]. given #234 (H,wt=13): 412 (x * (1 / x)) \ (1 / x) = x \ 1. [hyper(112,a,226,a(flip),b,378,a)]. given #235 (H,wt=13): 419 K(x,1 / x) \ (1 / x) = x \ 1. [para(234(a,2),412(a,1,1))]. given #236 (H,wt=14): 87 (x * y) * L(z,y,x) = x * (y * z). [para(13(a,2),5(a,1,2))]. given #237 (H,wt=12): 423 L(x \ T(y * x,y),x,y) = y. [hyper(29,a,208,a(flip),b,87,a),flip(a)]. given #238 (H,wt=14): 89 L(x \ y,x,z) = (z * x) \ (z * y). [para(5(a,1),13(a,2,2,2))]. given #239 (H,wt=14): 93 R(x,y,z) * (y * z) = (x * y) * z. [para(15(a,2),7(a,1,1))]. given #240 (H,wt=14): 94 R(x / y,y,z) = (x * z) / (y * z). [para(7(a,1),15(a,2,1,1))]. given #241 (H,wt=14): 118 ((x * y) / z) * z != x * u | y = u. [para(7(a,2),38(a,1))]. given #242 (H,wt=14): 123 ((x * y) / z) * z != u * y | x = u. [para(7(a,2),39(a,1))]. given #243 (H,wt=14): 130 T(T(x,y),z) != T(u,y) | T(x,z) = u. [para(18(a,1),44(a,1))]. given #244 (H,wt=14): 166 R(x,y,z) \ ((x * y) * z) = y * z. [hyper(31,a,15,a(flip),b,72,a),flip(a)]. given #245 (H,wt=14): 169 (x * (y * z)) / L(z,y,x) = x * y. [para(13(a,2),72(a,1,2))]. given #246 (H,wt=14): 177 (x / (y * z)) \ x != u * z | y = u. [para(74(a,2),39(a,1))]. given #247 (H,wt=14): 199 R(x,x \ 1,y) = y / ((x \ 1) * y). [para(64(a,1),15(a,2,1))]. given #248 (H,wt=14): 231 x * ((x \ 1) * y) = L(y,x \ 1,x). [hyper(58,a,13,a,b,147,a),flip(a)]. given #249 (H,wt=14): 233 (1 / x) * (x * y) = L(y,x,1 / x). [hyper(58,a,13,a,b,148,a),flip(a)]. given #250 (H,wt=14): 235 (x * y) * (y \ 1) = R(x,y,y \ 1). [hyper(58,a,15,a,b,153,a),flip(a)]. given #251 (H,wt=14): 237 (x * (1 / y)) * y = R(x,1 / y,y). [hyper(58,a,15,a,b,154,a),flip(a)]. given #252 (H,wt=14): 252 x \ ((x * y) * L(z,y,x)) = y * z. [para(13(a,2),66(a,1,2,2))]. given #253 (H,wt=14): 254 L(x \ (y \ z),x,y) = (y * x) \ z. [para(68(a,1),13(a,2,2))]. given #254 (H,wt=14): 257 (R(x,y,z) * (y * z)) / z = x * y. [para(15(a,2),77(a,1,1,1))]. given #255 (H,wt=14): 258 R((x / y) / z,z,y) = x / (z * y). [para(78(a,1),15(a,2,1))]. given #256 (H,wt=14): 261 (x * y) * z != y * x | K(y,x) = z. [para(81(a,1),38(a,1)),flip(a)]. given #257 (H,wt=14): 276 (x * y) / y != z * u | x / u = z. [para(142(a,2),39(a,1))]. given #258 (H,wt=14): 277 x / y != (z / u) * u | z * y = x. [para(142(a,1),41(a,1)),flip(a)]. given #259 (H,wt=14): 278 ((x / y) * y) * z != u | x * z = u. [para(142(a,1),227(a,1,1))]. given #260 (H,wt=10): 487 x != y | (x / z) * z = y. [para(78(a,1),278(a,1))]. given #261 (H,wt=14): 282 (x / y) * y != z * u | z \ x = u. [para(143(a,2),38(a,1))]. given #262 (H,wt=12): 489 1 * x != y * z | y \ x = z. [para(69(a,1),282(a,1,1))]. given #263 (H,wt=14): 283 x * (x \ y) != z * u | y / u = z. [para(143(a,1),39(a,1))]. given #264 (H,wt=14): 284 (x * (x \ y)) / z != u | y / z = u. [para(143(a,1),279(a,1,1))]. given #265 (H,wt=10): 500 x != y | z / (x \ z) = y. [para(6(a,1),284(a,1))]. given #266 (H,wt=14): 285 x \ (x * y) != z * u | z \ y = u. [para(145(a,2),38(a,1))]. given #267 (H,wt=14): 286 x \ y != z * (z \ u) | x * u = y. [para(145(a,1),42(a,1)),flip(a)]. given #268 (H,wt=14): 288 x * (y * (y \ z)) != u | x * z = u. [para(145(a,1),230(a,1,2))]. given #269 (H,wt=14): 293 (x * y) \ (y * x) != z | K(y,x) = z. [para(81(a,1),287(a,1,2))]. given #270 (H,wt=10): 508 K(x,y) != z | K(y,x) = z. [para(109(a,2),293(a,1))]. given #271 (H,wt=14): 294 x / (y \ x) != z / u | y \ z = u. [para(161(a,1),40(a,1))]. given #272 (H,wt=14): 295 x / y != (z / u) * u | z \ x = y. [para(162(a,1),40(a,1)),flip(a)]. given #273 (H,wt=14): 296 (x / (y \ x)) * z != u | y * z = u. [para(163(a,1),227(a,1,1))]. given #274 (H,wt=14): 297 x / (y \ x) != z * u | z \ y = u. [para(164(a,2),38(a,1))]. given #275 (H,wt=14): 298 (x * (x \ y)) \ z != u | y \ z = u. [para(164(a,1),290(a,1,1))]. given #276 (H,wt=14): 299 x \ y != z * (z \ u) | y / u = x. [para(173(a,1),43(a,1)),flip(a)]. given #277 (H,wt=14): 302 (x \ y) \ y != z | T(x,x \ y) = z. [para(203(a,1),287(a,1,2))]. given #278 (H,wt=14): 311 x \ y != y / z | T(x,x \ y) = z. [para(239(a,1),40(a,1))]. given #279 (H,wt=14): 315 x * ((y / z) \ y) != u | u / z = x. [para(301(a,1),39(a,1)),flip(a)]. given #280 (H,wt=14): 324 x * (1 / x) != y | K(x,1 / x) = y. [para(81(a,1),192(a,1))]. given #281 (H,wt=14): 327 L((x \ y) \ 1,x \ y,x) = y \ x. [hyper(272,a,141,a(flip),b,200,a),flip(a)]. given #282 (H,wt=14): 329 L(x \ 1,x,y / x) = y \ (y / x). [para(7(a,1),200(a,2,1))]. given #283 (H,wt=14): 334 R(1 / x,x,x \ y) = (x \ y) / y. [para(5(a,1),202(a,2,2))]. given #284 (H,wt=14): 335 R(1 / (x / y),x / y,y) = y / x. [para(7(a,1),202(a,2,2))]. given #285 (H,wt=14): 341 x * (x \ y) != z * u | z \ y = u. [para(146(a,2),229(a,1))]. given #286 (H,wt=14): 344 T(x,y) * x != z | x * T(x,y) = z. [para(157(a,1),248(a,1,2))]. given #287 (H,wt=14): 348 T(L(x \ 1,x,1 / x),x) = x \ 1. [para(326(a,2),100(a,1,1))]. given #288 (H,wt=14): 349 x / L(y,1 / y,x) = x * (1 / y). [para(74(a,1),328(a,1,2,1))]. given #289 (H,wt=14): 351 R(x,x \ 1,y) \ y = (x \ 1) * y. [para(72(a,1),333(a,1,1,1))]. given #290 (H,wt=14): 354 T(T(x,y),z) != u | T(T(x,z),y) = u. [para(101(a,1),291(a,1))]. given #291 (H,wt=14): 357 (x * y) \ R(x,y,y \ 1) = y \ 1. [hyper(112,a,15,a,b,153,a(flip))]. given #292 (H,wt=14): 358 x \ L(y,x \ 1,x) = (x \ 1) * y. [hyper(112,a,13,a,b,147,a(flip))]. given #293 (H,wt=14): 360 R(x,1 / y,y) / y = x * (1 / y). [hyper(113,a,15,a,b,154,a(flip))]. given #294 (H,wt=12): 523 R(x,1 / x,x) = T(x,1 / x). [hyper(32,a,403,a,b,360,a),flip(a)]. given #295 (H,wt=14): 377 T(x,y) != z * y | (1 / y) * x = z. [para(365(a,2),39(a,1))]. given #296 (H,wt=14): 379 T(x,y) / y != z | (1 / y) * x = z. [para(365(a,2),279(a,1,1))]. given #297 (H,wt=14): 382 T(x,y) != z * y | (1 / y) \ z = x. [para(368(a,1),44(a,1)),flip(a)]. given #298 (H,wt=14): 420 (x * y) / L(z \ y,z,x) = x * z. [hyper(113,a,137,a(flip),b,87,a)]. given #299 (H,wt=14): 424 L(x \ (y \ ((y * x) * z)),x,y) = z. [hyper(29,a,68,a(flip),b,87,a),flip(a)]. given #300 (H,wt=14): 435 L(x \ y,x,1 / x) = (1 / x) * y. [hyper(272,a,148,a(flip),b,89,a),flip(a)]. given #301 (H,wt=14): 436 L((x \ 1) \ y,x \ 1,x) = x * y. [hyper(272,a,147,a(flip),b,89,a),flip(a)]. given #302 (H,wt=14): 446 R(x / y,y,z) \ (x * z) = y * z. [hyper(112,a,135,a(flip),b,93,a)]. given #303 (H,wt=14): 459 R(x / (1 / y),1 / y,y) = x * y. [hyper(272,a,154,a(flip),b,94,a),flip(a)]. given #304 (H,wt=14): 460 R(x / y,y,y \ 1) = x * (y \ 1). [hyper(272,a,153,a(flip),b,94,a),flip(a)]. given #305 (H,wt=14): 464 T(R((x * y) / x,x,y),x * y) = y. [para(94(a,2),205(a,1,1))]. given #306 (H,wt=14): 467 (x / y) * y != z * u | x / u = z. [para(7(a,1),123(a,1,1,1))]. given #307 (H,wt=14): 472 (x / y) \ x != z * u | y / u = z. [para(7(a,1),177(a,1,1,2))]. given #308 (H,wt=14): 474 x / K(x \ 1,x) = R(x,x \ 1,x). [para(232(a,2),199(a,2,2)),flip(a)]. given #309 (H,wt=14): 476 x * K(x \ 1,x) = L(x,x \ 1,x). [para(232(a,2),231(a,1,2))]. given #310 (H,wt=14): 485 (x * (x \ y)) * z != u | y * z = u. [para(72(a,1),278(a,1,1,1))]. given #311 (H,wt=14): 492 (x * y) / y != z * u | z \ x = u. [para(142(a,2),282(a,1))]. given #312 (H,wt=14): 499 x \ (x * y) != z * u | y / u = z. [para(145(a,2),283(a,1))]. given #313 (H,wt=14): 501 ((x / y) * y) / z != u | x / z = u. [para(74(a,1),284(a,1,1,2))]. given #314 (H,wt=14): 505 x \ y != (z / u) * u | x * z = y. [para(74(a,1),286(a,2,2))]. given #315 (H,wt=14): 506 (x / y) \ x != z \ u | z * y = u. [para(173(a,2),286(a,2)),flip(a)]. given #316 (H,wt=14): 507 x * (y \ (y * z)) != u | x * z = u. [para(145(a,2),288(a,1,2))]. given #317 (H,wt=14): 509 (x * y) \ (y * x) != z | K(x,y) = z. [para(11(a,1),508(a,1))]. given #318 (H,wt=14): 520 L(T(x \ 1,x),x,1 / x) = x \ 1. [hyper(58,a,20,a,b,348,a)]. given #319 (H,wt=14): 530 R(T((x * y) / x,x * y),x,y) = y. [hyper(58,a,22,a,b,464,a)]. given #320 (H,wt=14): 533 ((x / y) \ x) * z != u | y * z = u. [para(173(a,2),485(a,1,1))]. given #321 (H,wt=14): 538 x \ y != (z * u) / u | x * z = y. [para(142(a,2),505(a,2))]. given #322 (H,wt=14): 542 x * y != z | ((u / x) \ u) * y = z. [para(300(a,1),507(a,1))]. given #323 (H,wt=15): 104 x \ (R(y,z,u) * x) = R(T(y,x),z,u). [para(22(a,2),17(a,1)),flip(a)]. given #324 (H,wt=15): 213 x * L(T(y,x),z,u) = L(y,z,u) * x. [para(20(a,2),98(a,1,2))]. given #325 (H,wt=15): 214 x * R(T(y,x),z,u) = R(y,z,u) * x. [para(22(a,2),98(a,1,2))]. given #326 (H,wt=15): 215 x * y != z | y * u != z | T(x,y) = u. [para(98(a,1),29(a,1))]. given #327 (H,wt=13): 557 T(x / y,(z / y) \ z) = y \ x. [hyper(215,a,301,a,b,300,a)]. given #328 (H,wt=15): 223 T(L(x / y,z,u),y) = L(y \ x,z,u). [para(100(a,1),20(a,1,1)),flip(a)]. given #329 (H,wt=15): 224 T(R(x / y,z,u),y) = R(y \ x,z,u). [para(100(a,1),22(a,1,1)),flip(a)]. given #330 (H,wt=14): 562 T(x / (y * x),y) = R(y \ 1,y,x). [para(202(a,1),224(a,1,1))]. given #331 (H,wt=15): 262 (x * y) * K(T(x,y),y) = T(x,y) * y. [para(98(a,1),81(a,1,1))]. given #332 (H,wt=15): 263 (x * y) / T(y * x,K(x,y)) = K(x,y). [para(81(a,1),170(a,1,1))]. given #333 (H,wt=15): 265 x \ T(y,y \ z) = x \ ((y \ z) \ z). [hyper(57,a,99,a)]. given #334 (H,wt=15): 266 T(x,x \ y) \ z = ((x \ y) \ y) \ z. [hyper(56,a,99,a)]. given #335 (H,wt=15): 267 x / T(y,y \ z) = x / ((y \ z) \ z). [hyper(55,a,99,a)]. given #336 (H,wt=15): 268 T(x,x \ y) / z = ((x \ y) \ y) / z. [hyper(54,a,99,a)]. given #337 (H,wt=15): 269 x * T(y,y \ z) = x * ((y \ z) \ z). [hyper(53,a,99,a)]. given #338 (H,wt=15): 270 T(x,x \ y) * z = ((x \ y) \ y) * z. [hyper(52,a,99,a)]. given #339 (H,wt=15): 304 T(x / (x / y),(z / (x / y)) \ z) = y. [para(74(a,2),220(a,1,2))]. given #340 (H,wt=15): 306 (x / y) * (y \ x) = (y \ x) * (x / y). [para(226(a,1),98(a,1,2)),flip(a)]. given #341 (H,wt=15): 309 ((x / y) \ x) * (1 / y) = K(y,1 / y). [hyper(272,a,174,a,b,234,a)]. given #342 (H,wt=15): 314 ((x \ y) \ y) * (T(x,x \ y) \ z) = z. [para(239(a,1),300(a,1,1,1))]. given #343 (H,wt=14): 570 T(x,x \ y) != z | (x \ y) \ y = z. [para(314(a,1),190(a,1))]. given #344 (H,wt=15): 350 x \ y != z * y | R(1 / z,z,y) = x. [para(333(a,1),43(a,1)),flip(a)]. given #345 (H,wt=15): 352 K(x,y) = (y * x) \ ((y \ (y * x)) * y). [para(4(a,1),82(a,2,1)),flip(a)]. given #346 (H,wt=11): 574 K(x \ (x * y),x) = K(y,x). [hyper(272,a,82,a(flip),b,352,a)]. given #347 (H,wt=11): 575 K(x \ (x * y),z) = K(y,z). [para(63(a,1),574(a,1,1)),flip(a)]. given #348 (H,wt=11): 576 K((x / y) \ x,z) = K(y,z). [para(7(a,1),575(a,1,1,2))]. given #349 (H,wt=15): 355 x * T(x \ (y * x),z) = T(y,z) * x. [para(102(a,2),98(a,1,2))]. given #350 (H,wt=15): 359 x != y | z * u != y | T(z,u) = u \ x. [para(98(a,1),112(b,1)),flip(c)]. given #351 (H,wt=15): 372 (1 / x) * L(x,y,z) = L(x,y,z) / x. [hyper(113,a,159,a(flip),b,365,a(flip)),flip(a)]. given #352 (H,wt=15): 375 (1 / L(x,y,z)) * x = x / L(x,y,z). [hyper(113,a,156,a(flip),b,365,a(flip)),flip(a)]. given #353 (H,wt=15): 381 T(T((1 / x) \ y,z),x) = T(y * x,z). [para(368(a,1),18(a,1,1)),flip(a)]. given #354 (H,wt=15): 384 (T(x,y) / y) \ z = ((1 / y) * x) \ z. [hyper(56,a,369,a)]. given #355 (H,wt=15): 389 T(x / y,z) * y = y * T(y \ x,z). [para(100(a,1),212(a,1,2,1)),flip(a)]. given #356 (H,wt=15): 390 T((x * y) / x,z) * x = x * T(y,z). [para(205(a,1),212(a,1,2,1)),flip(a)]. given #357 (H,wt=15): 391 (x * T(x \ y,z)) / x = T(y / x,z). [hyper(242,a,222,a)]. given #358 (H,wt=12): 581 T(x / y,y) != z | y \ x = z. [para(391(a,1),281(a,1))]. given #359 (H,wt=12): 583 T(x,y) != z | y \ (x * y) = z. [para(6(a,1),581(a,1,1))]. given #360 (H,wt=15): 395 (x * T(y,z)) / x = T((x * y) / x,z). [hyper(242,a,241,a)]. given #361 (H,wt=15): 407 T(1 / T(x,y),x) = x \ (x / T(x,y)). [hyper(243,a,374,a)]. given #362 (H,wt=15): 413 T(T(x,y),y \ 1) = (x * y) * (y \ 1). [hyper(58,a,204,a(flip),b,378,a),flip(a)]. given #363 (H,wt=15): 434 L(x,y,z) != z | y \ T(z * y,z) = x. [para(423(a,1),45(a,1)),flip(a)]. given #364 (H,wt=15): 442 L(x \ 1,x,y) != z | (y * x) \ y = z. [para(89(a,2),292(a,1))]. given #365 (H,wt=15): 569 T(x,x \ y) * (((x \ y) \ y) \ z) = z. [hyper(127,a,266,a)]. given #366 (H,wt=15): 577 (L(x,y,z) / x) / L(x,y,z) = 1 / x. [hyper(122,a,372,a)]. given #367 (H,wt=16): 79 (x * (y * z)) * a(x,y,z) = (x * y) * z. [para(9(a,2),5(a,1,2))]. given #368 (H,wt=16): 88 x \ (y * ((y \ x) * z)) = L(z,y \ x,y). [para(5(a,1),13(a,2,1)),flip(a)]. given #369 (H,wt=16): 90 x \ ((x / y) * (y * z)) = L(z,y,x / y). [para(7(a,1),13(a,2,1)),flip(a)]. given #370 (H,wt=16): 91 R(x,x \ y,z) = (y * z) / ((x \ y) * z). [para(5(a,1),15(a,2,1,1))]. given #371 (H,wt=16): 92 ((x * y) * (y \ z)) / z = R(x,y,y \ z). [para(5(a,1),15(a,2,2)),flip(a)]. given #372 (H,wt=16): 95 ((x * (y / z)) * z) / y = R(x,y / z,z). [para(7(a,1),15(a,2,2)),flip(a)]. given #373 (H,wt=16): 131 T(x,y) != L(T(z,y),u,w) | L(z,u,w) = x. [para(20(a,2),44(a,1)),flip(a)]. given #374 (H,wt=16): 132 T(L(x,y,z),u) != L(w,y,z) | T(x,u) = w. [para(20(a,1),45(a,1))]. given #375 (H,wt=16): 134 T(R(x,y,z),u) != R(w,y,z) | T(x,u) = w. [para(22(a,1),46(a,1))]. given #376 (H,wt=16): 167 ((x * y) * z) / a(x,y,z) = x * (y * z). [para(9(a,2),72(a,1,2))]. given #377 (H,wt=16): 188 L(x,y,z) != (u \ u) * L(w,y,z) | w = x. [para(151(a,2),45(a,1)),flip(a)]. given #378 (H,wt=16): 189 R(x,y,z) != (u \ u) * R(w,y,z) | w = x. [para(151(a,2),46(a,1)),flip(a)]. given #379 (H,wt=16): 201 ((1 / x) * (x * y)) \ y = a(1 / x,x,y). [para(73(a,1),9(a,2,2)),flip(a)]. given #380 (H,wt=16): 211 (x * y) \ (x * (z * y)) = L(T(z,y),y,x). [para(98(a,1),13(a,2,2,2)),flip(a)]. given #381 (H,wt=12): 596 L(T(x,y),y,x) = T(x,x * y). [hyper(291,a,211,a),flip(a)]. given #382 (H,wt=12): 598 T(L(x,y,x),y) = T(x,x * y). [hyper(58,a,20,a(flip),b,596,a)]. given #383 (H,wt=12): 602 T(L(x,x \ 1,x),x \ 1) = x. [hyper(272,a,185,a(flip),b,598,a),flip(a)]. given #384 (H,wt=14): 599 x * T(y,y * x) = L(y,x,y) * x. [para(596(a,1),213(a,1,2))]. given #385 (H,wt=14): 603 (x * T(y,y * x)) / x = L(y,x,y). [hyper(242,a,598,a)]. given #386 (H,wt=14): 604 T((x * y) / x,y * x) = L(y,x,y). [hyper(35,a,241,a,b,598,a)]. given #387 (H,wt=15): 601 T(x,x * y) != T(z,y) | L(x,y,x) = z. [para(596(a,1),131(a,2)),flip(a)]. given #388 (H,wt=15): 609 T(x,y \ 1) != y | L(y,y \ 1,y) = x. [para(602(a,1),44(a,1)),flip(a)]. given #389 (H,wt=16): 330 T((x * y) \ x,z) = L(T(y \ 1,z),y,x). [para(200(a,1),20(a,2,1)),flip(a)]. given #390 (H,wt=16): 332 R(1 / x,x,y) * z = (y / (x * y)) * z. [hyper(52,a,202,a)]. given #391 (H,wt=16): 337 T(x,y) * z != x * y | T(y,T(x,y)) = z. [para(98(a,1),216(a,2))]. given #392 (H,wt=16): 338 x * (y * (y \ z)) != z * u | T(x,z) = u. [para(137(a,2),216(a,2)),flip(a)]. given #393 (H,wt=16): 340 x * (y * (y \ 1)) != z * u | z \ x = u. [para(5(a,2),229(a,1,2))]. given #394 (H,wt=16): 342 x * T(T(y,x),z) != u | T(y,z) * x = u. [para(18(a,1),248(a,1,2))]. given #395 (H,wt=16): 353 x * K(y,x / y) != z | y * (x / y) = z. [para(83(a,1),230(a,1,2))]. given #396 (H,wt=16): 363 x * L(y,z \ x,z) = z * ((z \ x) * y). [hyper(114,a,13,a,b,141,a(flip))]. given #397 (H,wt=16): 386 L(x \ T(y,z),x,z) = (z * x) \ (y * z). [para(208(a,1),13(a,2,2))]. given #398 (H,wt=12): 615 K(x,y) = L(x \ T(x,y),x,y). [hyper(272,a,11,a,b,386,a)]. given #399 (H,wt=15): 617 L(x \ T(x,y),x,y) != z | K(x,y) = z. [para(386(a,2),293(a,1))]. given #400 (H,wt=16): 387 x * (y * (y \ T(z,x))) != z * u | x = u. [para(208(a,2),38(a,1))]. given #401 (H,wt=16): 392 T(x \ y,z) != T(u,x) | T(y / x,z) = u. [para(222(a,1),44(a,1))]. given #402 (H,wt=16): 396 T(x,y) != T(z,u) | T((y * z) / y,u) = x. [para(241(a,1),44(a,2)),flip(b)]. given #403 (H,wt=16): 398 x \ ((y \ x) * y) != z | K(y \ x,y) = z. [para(259(a,1),287(a,1,2))]. given #404 (H,wt=16): 400 x \ (y * (x / y)) != z | K(y,x / y) = z. [para(260(a,1),287(a,1,2))]. given #405 (H,wt=16): 401 x * (y * x) != z | (1 / x) \ y = z / x. [para(366(a,1),122(a,1)),flip(b)]. given #406 (H,wt=16): 414 T(x,y \ 1) != z * (y \ 1) | y * x = z. [para(378(a,1),39(a,1))]. given #407 (H,wt=16): 417 x / y != y * (1 / y) | T(y,1 / y) = x. [para(403(a,1),41(a,1)),flip(a)]. given #408 (H,wt=16): 422 x * L(y,z,x / z) = (x / z) * (z * y). [hyper(58,a,135,a(flip),b,87,a)]. given #409 (H,wt=14): 620 L(x \ y,x,y / x) = T(y / x,y). [hyper(215,a,137,a(flip),b,422,a),flip(a)]. given #410 (H,wt=16): 426 x \ (y * L(z,x \ y,x)) = (x \ y) * z. [hyper(112,a,136,a(flip),b,87,a(flip))]. given #411 (H,wt=16): 437 L((x \ y) \ z,x \ y,x) = y \ (x * z). [hyper(272,a,141,a(flip),b,89,a),flip(a)]. given #412 (H,wt=16): 438 L(x \ y,x,z / x) = z \ ((z / x) * y). [para(7(a,1),89(a,2,1))]. given #413 (H,wt=16): 445 R(x,x \ y,z) \ (y * z) = (x \ y) * z. [hyper(112,a,136,a(flip),b,93,a)]. given #414 (H,wt=16): 447 R(x,y,y \ z) * z = (x * y) * (y \ z). [hyper(58,a,137,a(flip),b,93,a)]. given #415 (H,wt=16): 448 R(x,y / z,z) * y = (x * (y / z)) * z. [para(7(a,1),93(a,1,2))]. given #416 (H,wt=16): 461 R(x / y,y,x \ z) = z / (y * (x \ z)). [hyper(272,a,140,a(flip),b,94,a),flip(a)]. given #417 (H,wt=16): 462 R(x / y,y,y \ z) = (x * (y \ z)) / z. [para(5(a,1),94(a,2,2))]. given #418 (H,wt=16): 463 R(x / (y / z),y / z,z) = (x * z) / y. [para(7(a,1),94(a,2,2))]. given #419 (H,wt=16): 471 (x * y) / L(z,y / z,x) = x * (y / z). [para(7(a,1),169(a,1,1,2))]. given #420 (H,wt=16): 478 L(T(x,y),y,1 / y) = (1 / y) * (x * y). [para(98(a,1),233(a,1,2)),flip(a)]. given #421 (H,wt=13): 631 (1 / x) * ((x \ 1) * x) = x \ 1. [hyper(58,a,520,a(flip),b,478,a),flip(a)]. given #422 (H,wt=13): 634 (1 / x) * K(x \ 1,x) = x \ 1. [para(232(a,2),631(a,1,2))]. given #423 (H,wt=15): 635 ((x \ 1) * x) * x = x * ((x \ 1) * x). [para(631(a,1),186(a,1,2,1)),flip(a)]. given #424 (H,wt=9): 638 T(x,(x \ 1) * x) = x. [hyper(216,a,635,a)]. given #425 (H,wt=14): 637 ((x \ 1) * x) * x = L(x,x \ 1,x). [hyper(272,a,231,a(flip),b,635,a),flip(a)]. given #426 (H,wt=14): 639 K(x \ 1,x) * x = L(x,x \ 1,x). [para(232(a,2),637(a,1,1))]. given #427 (H,wt=16): 486 (x * T(y,x)) * z != u | (y * x) * z = u. [para(170(a,1),278(a,1,1,1))]. given #428 (H,wt=16): 490 x * T(y,x) != z * u | z \ (y * x) = u. [para(170(a,1),282(a,1,1))]. given #429 (H,wt=16): 497 (x * (x \ 1)) * y != z * u | y / u = z. [para(147(a,1),283(a,1,2))]. given #430 (H,wt=16): 526 (x \ y) / x != z | (1 / x) * (y / x) = z. [para(100(a,1),379(a,1,1))]. given #431 (H,wt=16): 545 R(T(x,y),z,u) != w | T(R(x,z,u),y) = w. [para(104(a,1),291(a,1))]. given #432 (H,wt=16): 563 T((x * y) / (z * y),z) = R(z \ x,z,y). [para(94(a,1),224(a,1,1))]. given #433 (H,wt=16): 564 R(x \ (y / z),x,z) = T(y / (x * z),x). [para(258(a,1),224(a,1,1)),flip(a)]. given #434 (H,wt=16): 567 (x / (y * x)) * y = y * R(y \ 1,y,x). [hyper(114,a,562,a(flip),b,17,a(flip)),flip(a)]. given #435 (H,wt=16): 597 (x * y) \ (x * (z * y)) = T(L(z,y,x),y). [hyper(272,a,20,a(flip),b,211,a),flip(a)]. given #436 (H,wt=16): 632 T(L(x,y,1 / y),y) = (1 / y) * (x * y). [hyper(58,a,20,a(flip),b,478,a)]. given #437 (H,wt=16): 633 (1 / x) \ T(L(y,x,1 / x),x) = y * x. [hyper(112,a,20,a(flip),b,478,a(flip))]. given #438 (H,wt=16): 642 R(x,y,z) = T(((y * x) * z) / (y * z),y). [para(4(a,1),563(a,2,1)),flip(a)]. given #439 (H,wt=12): 651 T(R(x,y,x),y * x) = T(x,y). [para(642(a,2),241(a,1,1))]. given #440 (H,wt=12): 652 R(T(x,y * x),y,x) = T(x,y). [hyper(58,a,22,a,b,651,a)]. given #441 (H,wt=16): 649 ((x * y) * T(y,x)) / (x * y) = R(y,x,y). [hyper(272,a,395,a,b,642,a)]. given #442 (H,wt=13): 656 ((x \ 1) * x) * T(x,x \ 1) = x. [hyper(32,a,199,a(flip),b,649,a),flip(a)]. given #443 (H,wt=13): 657 (x * y) * T(y,x) = (y * x) * y. [hyper(32,a,15,a(flip),b,649,a),flip(a)]. given #444 (H,wt=13): 658 ((x \ 1) * x) * ((x \ 1) \ 1) = x. [hyper(58,a,269,a(flip),b,656,a)]. given #445 (H,wt=13): 659 K(x \ 1,x) * T(x,x \ 1) = x. [para(232(a,2),656(a,1,1))]. given #446 (H,wt=13): 661 K(x \ 1,x) * ((x \ 1) \ 1) = x. [para(232(a,2),658(a,1,1))]. given #447 (H,wt=15): 660 (x * (y / x)) * x = y * T(x,y / x). [hyper(278,a,657,a),flip(a)]. given #448 (H,wt=17): 103 L(T(T(x,y),z),u,w) = T(L(T(x,z),u,w),y). [para(18(a,1),20(a,1,1))]. given #449 (H,wt=17): 105 T(T(R(x,y,z),u),w) = T(R(T(x,w),y,z),u). [para(22(a,2),18(a,1,1)),flip(a)]. given #450 (H,wt=17): 106 x * ((((1 / x) * y) * z) * x) = y * (z * x). [para(4(a,1),27(a,1,1)),flip(a)]. given #451 (H,wt=17): 108 x * ((y * (z / x)) * x) = ((1 / x) \ y) * z. [para(7(a,1),27(a,1,2)),flip(a)]. given #452 (H,wt=17): 124 ((x * y) * z) / u != R(x,y,z) | y * z = u. [para(15(a,2),40(a,1)),flip(a)]. given #453 (H,wt=17): 126 R(x,y,z) != u / (y * z) | (x * y) * z = u. [para(15(a,2),41(a,1))]. given #454 (H,wt=17): 247 R(x,y,z) * (y * z) != u | (x * y) * z = u. [para(15(a,2),227(a,1,1))]. given #455 (H,wt=17): 251 (x * y) * L(z,y,x) != u | x * (y * z) = u. [para(13(a,2),230(a,1,2))]. given #456 (H,wt=17): 271 T(L(x,y,z),x \ u) = L((x \ u) \ u,y,z). [para(99(a,1),20(a,1,1)),flip(a)]. given #457 (H,wt=17): 303 (x / y) * T(x / y,y) = (y \ x) * (x / y). [para(100(a,1),218(a,1,1)),flip(a)]. given #458 (H,wt=17): 325 L(x,y,1 / y) != z | (1 / y) * (y * x) = z. [para(13(a,2),196(a,1))]. given #459 (H,wt=17): 367 x * ((y * (1 / x)) * x) = T(y,1 / x) * x. [para(98(a,1),186(a,1,2,1))]. given #460 (H,wt=15): 672 T(x,1 / y) * y = ((1 / y) \ x) * 1. [hyper(58,a,108,a(flip),b,367,a),flip(a)]. given #461 (H,wt=13): 673 T(x,1 / y) * y = (1 / y) \ x. [hyper(272,a,3,a(flip),b,672,a),flip(a)]. given #462 (H,wt=15): 674 (1 / (x \ 1)) \ y = T(y,x) * (x \ 1). [para(72(a,1),673(a,1,1,2)),flip(a)]. => 677 back subsumes hint matchers not on Sos. Reset weight to 515.000. given #463 (H,wt=11): 676 T(x,y) * (y \ 1) = y \ x. [para(72(a,1),674(a,1,1)),flip(a)]. given #464 (H,wt=11): 678 T(x,y) = (y \ x) / (y \ 1). [hyper(122,a,676,a),flip(a)]. given #465 (H,wt=11): 679 T(x,y) \ (y \ x) = y \ 1. [hyper(117,a,676,a)]. given #466 (H,wt=11): 680 T(x * y,x) = y / (x \ 1). [hyper(113,a,4,a(flip),b,676,a),flip(a)]. given #467 (H,wt=13): 684 (x \ y) * (x \ 1) = x \ (y / x). [para(100(a,1),676(a,1,1))]. given #468 (H,wt=13): 685 T(x,y) * (x \ 1) = x \ T(x,y). [para(158(a,1),676(a,1,1))]. given #469 (H,wt=13): 691 x \ (T(x,y) \ x) = T(x,y) \ 1. [para(157(a,1),679(a,1,1))]. given #470 (H,wt=13): 693 x \ ((x * y) * x) = y / (x \ 1). [hyper(583,a,680,a)]. given #471 (H,wt=13): 696 x * (y / (x \ 1)) = (x * y) * x. [hyper(114,a,680,a(flip),b,17,a(flip))]. given #472 (H,wt=13): 703 (x * (y * (x \ 1))) * x = x * y. [hyper(538,a,693,a),flip(a)]. given #473 (H,wt=14): 682 x \ y != z * (x \ 1) | T(y,x) = z. [para(676(a,1),39(a,1))]. given #474 (H,wt=14): 690 T(x,y) * (y \ 1) != z | y \ x = z. [para(678(a,2),227(a,1,1))]. given #475 (H,wt=14): 697 T(x,y) != z / (y \ 1) | y * z = x. [para(680(a,1),44(a,1)),flip(a)]. given #476 (H,wt=14): 704 x / (y \ 1) != z | T(y * x,y) = z. [para(693(a,1),291(a,1))]. given #477 (H,wt=15): 681 T(T(x,y),z) * (y \ 1) = y \ T(x,z). [para(18(a,1),676(a,1,1))]. given #478 (H,wt=15): 683 x * (L(x,y,z) \ 1) = L(x,y,z) \ x. [para(156(a,1),676(a,1,1))]. given #479 (H,wt=15): 686 L(x,y,z) * (x \ 1) = x \ L(x,y,z). [para(159(a,1),676(a,1,1))]. given #480 (H,wt=15): 687 R(x,y,z) * (x \ 1) = x \ R(x,y,z). [para(160(a,1),676(a,1,1))]. given #481 (H,wt=15): 692 x \ (L(x,y,z) \ x) = L(x,y,z) \ 1. [para(156(a,1),679(a,1,1))]. given #482 (H,wt=15): 694 x * T(y * z,y) = x * (z / (y \ 1)). [hyper(114,a,680,a,b,4,a)]. given #483 (H,wt=15): 700 T(x \ T(x,y),x \ 1) = x \ T(x,y). [hyper(58,a,383,a,b,685,a)]. given #484 (H,wt=13): 714 T(x \ 1,x \ T(x,y)) = x \ 1. [hyper(49,a,700,a)]. given #485 (H,wt=15): 715 T(x \ 1,T(x,y) * (x \ 1)) = x \ 1. [para(685(a,2),714(a,1,2))]. given #486 (H,wt=16): 698 x * (y / (x \ 1)) != z | (x * y) * x = z. [para(680(a,1),248(a,1,2))]. given #487 (H,wt=16): 701 T(x,y) \ 1 != x \ z | T(x,y) \ x = z. [para(691(a,1),42(a,1))]. given #488 (H,wt=16): 706 x * y != z * x | x * (y * (x \ 1)) = z. [para(703(a,1),39(a,1))]. given #489 (H,wt=16): 709 (x \ y) * (x \ 1) != z | x \ (y / x) = z. [para(100(a,1),690(a,1,1))]. given #490 (H,wt=16): 710 T(x,y) * (x \ 1) != z | x \ T(x,y) = z. [para(158(a,1),690(a,1,1))]. given #491 (H,wt=17): 370 (1 / (x / y)) * (y \ x) = (y \ x) / (x / y). [hyper(113,a,305,a(flip),b,365,a(flip)),flip(a)]. given #492 (H,wt=17): 388 x * T(T(T(y,x),z),u) = T(T(y,z),u) * x. [para(18(a,1),212(a,1,2,1))]. given #493 (H,wt=17): 405 T(x \ 1,y) / (x \ 1) = x * T(x \ 1,y). [hyper(58,a,165,a(flip),b,373,a),flip(a)]. given #494 (H,wt=17): 406 T(x,x \ y) / x = (1 / x) * ((x \ y) \ y). [para(99(a,1),373(a,1,2)),flip(a)]. given #495 (H,wt=17): 408 ((x \ 1) \ y) / (x \ 1) = x * (y / (x \ 1)). [hyper(58,a,165,a(flip),b,376,a),flip(a)]. given #496 (H,wt=15): 721 ((x \ 1) \ y) / (x \ 1) = (x * y) * x. [hyper(272,a,696,a(flip),b,408,a),flip(a)]. given #497 (H,wt=15): 722 T(x * ((x \ 1) \ y),x) = (x * y) * x. [hyper(704,a,721,a)]. given #498 (H,wt=15): 723 ((x * y) * x) * (x \ 1) = (x \ 1) \ y. [hyper(125,a,721,a)]. given #499 (H,wt=15): 725 (1 / x) \ (x * y) = x * ((x \ 1) \ y). [hyper(382,a,722,a)]. NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 239 (0.00 of 6.55 sec). given #500 (H,wt=17): 418 (1 / x) * (1 / (1 / x)) = (1 / (1 / x)) / x. [hyper(30,a,301,a,b,409,a),flip(a)]. given #501 (H,wt=17): 429 (x * y) * z != x * (y * u) | L(u,y,x) = z. [para(87(a,1),38(a,1)),flip(a)]. given #502 (H,wt=15): 729 (x * y) * z != x | L(y \ 1,y,x) = z. [para(65(a,1),429(a,2))]. given #503 (H,wt=17): 430 (x * y) \ (x * (y * z)) != u | L(z,y,x) = u. [para(87(a,1),287(a,1,2))]. given #504 (H,wt=17): 431 x * ((x \ 1) * y) != z | L(y,x \ 1,x) = z. [para(87(a,1),191(a,1))]. given #505 (H,wt=17): 432 (1 / x) * (x * y) != z | L(y,x,1 / x) = z. [para(87(a,1),192(a,1))]. given #506 (H,wt=17): 441 L((x \ 1) \ y,x \ 1,x) != z | x * y = z. [para(89(a,2),195(a,1))]. given #507 (H,wt=17): 453 (x * y) * z != u * (y * z) | R(x,y,z) = u. [para(93(a,1),39(a,1))]. given #508 (H,wt=17): 454 R(x,y,z) * (y * z) != u * z | x * y = u. [para(93(a,2),39(a,1))]. given #509 (H,wt=17): 457 ((x * y) * z) / (y * z) != u | R(x,y,z) = u. [para(93(a,1),279(a,1,1))]. given #510 (H,wt=17): 473 R(x,x \ 1,y) != z / ((x \ 1) * y) | y = z. [para(199(a,2),41(a,1))]. given #511 (H,wt=17): 481 L(x,y,z) != (z * y) \ u | y \ (z \ u) = x. [para(254(a,1),45(a,1)),flip(a)]. given #512 (H,wt=17): 521 x / y != x * (1 / z) | L(z,1 / z,x) = y. [para(349(a,1),40(a,1)),flip(a)]. given #513 (H,wt=17): 522 x \ y != (x \ 1) * z | L(z,x \ 1,x) = y. [para(358(a,1),42(a,1)),flip(a)]. given #514 (H,wt=17): 549 x * L(x \ (y * x),z,u) = L(y,z,u) * x. [para(17(a,1),213(a,1,2,1))]. given #515 (H,wt=17): 550 L(x / y,z,u) * y = y * L(y \ x,z,u). [para(100(a,1),213(a,1,2,1)),flip(a)]. given #516 (H,wt=17): 551 L((x * y) / x,z,u) * x = x * L(y,z,u). [para(205(a,1),213(a,1,2,1)),flip(a)]. given #517 (H,wt=17): 554 R(x / y,z,u) * y = y * R(y \ x,z,u). [para(100(a,1),214(a,1,2,1)),flip(a)]. given #518 (H,wt=17): 555 R((x * y) / x,z,u) * x = x * R(y,z,u). [para(205(a,1),214(a,1,2,1)),flip(a)]. given #519 (H,wt=17): 559 (x * L(x \ y,z,u)) / x = L(y / x,z,u). [hyper(242,a,223,a)]. given #520 (H,wt=17): 561 (x * R(x \ y,z,u)) / x = R(y / x,z,u). [hyper(242,a,224,a)]. given #521 (H,wt=17): 585 x * ((y * T(z,x)) / y) = ((y * z) / y) * x. [hyper(114,a,395,a,b,17,a(flip))]. given #522 (H,wt=17): 586 T((x * (y / z)) / x,z) = (x * (z \ y)) / x. [para(100(a,1),395(a,1,1,2)),flip(a)]. given #523 (H,wt=17): 636 K((x \ 1) \ 1,x \ 1) = x \ ((x \ 1) \ 1). [hyper(112,a,634,a(flip),b,165,a(flip)),flip(a)]. given #524 (H,wt=17): 647 T((1 / x) * (x * y),x) = (1 / x) * (y * x). [para(233(a,2),632(a,1,1))]. given #525 (H,wt=17): 648 (1 / x) \ T((1 / x) * y,x) = (x \ y) * x. [para(435(a,1),633(a,1,2,1))]. given #526 (H,wt=17): 655 (T(x,y * x) * y) * x = T(x,y) * (y * x). [para(652(a,1),93(a,1,1)),flip(a)]. given #527 (H,wt=17): 662 R(T(T(x,y),z),u,w) = T(T(R(x,u,w),z),y). [hyper(272,a,22,a,b,105,a)]. given #528 (H,wt=17): 664 (((1 / x) * y) * z) * x = x \ (y * (z * x)). [hyper(117,a,106,a),flip(a)]. given #529 (H,wt=17): 666 x \ (((1 / x) \ y) * z) = (y * (z / x)) * x. [hyper(117,a,108,a)]. given #530 (H,wt=17): 688 (x / y) * ((y \ x) \ 1) = (y \ x) \ (x / y). [para(226(a,1),676(a,1,1))]. given #531 (H,wt=15): 754 (x \ 1) \ (1 / x) = T(x,x \ 1) / x. [hyper(58,a,406,a,b,688,a),flip(a)]. given #532 (H,wt=17): 689 T(x \ y,z) * (x \ 1) = x \ T(y / x,z). [para(222(a,1),676(a,1,1))]. given #533 (H,wt=17): 705 ((1 / x) * y) * (1 / x) = (1 / x) * (y / x). [para(74(a,1),696(a,1,2,2)),flip(a)]. given #534 (H,wt=15): 757 ((1 / x) * y) * (1 / x) = (x \ y) / x. [hyper(272,a,376,a(flip),b,705,a),flip(a)]. given #535 (H,wt=17): 720 T(x * T(x \ 1,y),x) = x * T(x \ 1,y). [hyper(704,a,405,a)]. given #536 (H,wt=11): 758 T(x,x * T(x \ 1,y)) = x. [hyper(49,a,720,a)]. given #537 (H,wt=17): 735 L(x,x \ 1,x) != y | x * K(x \ 1,x) = y. [para(308(a,1),441(a,1,1))]. given #538 (H,wt=17): 738 L((x * y) / x,z,u) = (x * L(y,z,u)) / x. [hyper(122,a,551,a),flip(a)]. given #539 (H,wt=17): 740 R((x * y) / x,z,u) = (x * R(y,z,u)) / x. [hyper(122,a,555,a),flip(a)]. given #540 (H,wt=17): 747 (x \ ((1 / x) \ y)) * x = (1 / x) \ T(y,x). [para(5(a,1),648(a,1,2,1)),flip(a)]. given #541 (H,wt=17): 749 (x \ (y * (z * x))) / x = ((1 / x) * y) * z. [hyper(122,a,664,a)]. given #542 (H,wt=17): 756 (x \ 1) * T(x \ 1,y) = x \ T(1 / x,y). [hyper(344,a,689,a)]. given #543 (H,wt=17): 771 ((1 / x) * y) * (z / x) = (x \ (y * z)) / x. [para(7(a,1),749(a,1,1,2,2)),flip(a)]. given #544 (H,wt=17): 775 ((1 / x) * y) \ ((x \ (y * z)) / x) = z / x. [hyper(117,a,771,a)]. given #545 (H,wt=17): 776 ((1 / x) * y) \ ((x \ z) / x) = (y \ z) / x. [para(5(a,1),775(a,1,2,1,2))]. given #546 (H,wt=17): 777 ((1 / x) * y) \ (z / x) = (y \ (x * z)) / x. [para(66(a,1),775(a,1,2,1))]. given #547 (H,wt=18): 80 (x * y) \ ((x * (y / z)) * z) = a(x,y / z,z). [para(7(a,1),9(a,2,1,2)),flip(a)]. given #548 (H,wt=18): 133 L(L(x,y,z),u,w) != L(v5,y,z) | L(x,u,w) = v5. [para(25(a,1),45(a,1))]. given #549 (H,wt=18): 210 (x * y) \ (y * (T(x,y) * z)) = L(z,T(x,y),y). [para(98(a,1),13(a,2,1)),flip(a)]. given #550 (H,wt=18): 221 (x * y) \ ((z * x) * y) = T(R(z,x,y),x * y). [para(15(a,2),100(a,1,1)),flip(a)]. given #551 (H,wt=18): 255 x * (y * (y \ (x \ (z * u)))) != z * w | u = w. [para(68(a,2),38(a,1))]. given #552 (H,wt=18): 256 x \ (((x * (y * z)) / u) * u) != y * w | z = w. [para(75(a,2),38(a,1))]. given #553 (H,wt=18): 312 x / L(y,z,x / (z * y)) = (x / (z * y)) * z. [para(13(a,2),273(a,1,2))]. given #554 (H,wt=18): 331 R((x * y) \ x,z,u) = L(R(y \ 1,z,u),y,x). [para(200(a,1),24(a,1,1))]. given #555 (H,wt=18): 336 R(R(1 / x,y,z),x,u) = R(u / (x * u),y,z). [para(202(a,1),26(a,1,1)),flip(a)]. given #556 (H,wt=18): 343 x * L(T(y,x),z,u) != w | L(y,z,u) * x = w. [para(20(a,2),248(a,1,2))]. given #557 (H,wt=18): 356 x * T(x \ (y * x),z) != u | T(y,z) * x = u. [para(102(a,2),248(a,1,2))]. given #558 (H,wt=18): 364 (x * y) * T(L(z,y,x),u) = x * (y * T(z,u)). [hyper(114,a,20,a(flip),b,13,a(flip))]. given #559 (H,wt=18): 393 x * T(x \ y,z) != u | T(y / x,z) * x = u. [para(222(a,1),248(a,1,2))]. given #560 (H,wt=18): 394 (x * T(x \ y,z)) / x != u | T(y / x,z) = u. [para(222(a,1),281(a,1,1,2))]. given #561 (H,wt=18): 397 (x * T(y,z)) / x != u | T((x * y) / x,z) = u. [para(241(a,1),281(a,1,1,2))]. given #562 (H,wt=18): 421 (x * y) * L(z,T(x,y),y) = y * (T(x,y) * z). [hyper(58,a,204,a(flip),b,87,a)]. given #563 (H,wt=18): 439 T((x * y) \ (x * z),u) = L(T(y \ z,u),y,x). [para(89(a,1),20(a,2,1)),flip(a)]. given #564 (H,wt=18): 440 L(T(x,y) \ z,T(x,y),y) = (x * y) \ (y * z). [para(98(a,1),89(a,2,1))]. given #565 (H,wt=18): 450 T(R(x,y,z),u) * (y * z) = (T(x,u) * y) * z. [para(22(a,1),93(a,1,1))]. given #566 (H,wt=18): 455 R(x,y,T(z,y)) * (z * y) = (x * y) * T(z,y). [para(98(a,1),93(a,1,2))]. given #567 (H,wt=14): 791 T(R(x,y,T(x,y)),x * y) = T(x,y). [hyper(215,a,455,a,b,xx)]. given #568 (H,wt=17): 793 T(R(x,y,T(x,y)),x * y) != T(z,y) | x = z. [para(791(a,2),44(a,1))]. given #569 (H,wt=18): 479 T(R(x,y,y \ 1),z) / (y \ 1) = T(x,z) * y. [hyper(113,a,22,a(flip),b,235,a)]. given #570 (H,wt=18): 482 (((x * y) / z) * z) / y != u * w | x / w = u. [para(7(a,2),276(a,1,1))]. given #571 (H,wt=18): 483 (x * (x \ y)) / z != u * w | (y / z) / w = u. [para(143(a,1),276(a,1,1))]. given #572 (H,wt=18): 491 ((x / y) * y) * z != u * w | u \ (x * z) = w. [para(142(a,1),282(a,1,1))]. given #573 (H,wt=18): 493 (x / (y \ x)) * z != u * w | u \ (y * z) = w. [para(163(a,1),282(a,1,1))]. given #574 (H,wt=18): 495 x * (y \ (y * (x \ z))) != u * w | z / w = u. [para(4(a,2),283(a,1,2))]. given #575 (H,wt=18): 498 x * (y * (y \ z)) != u * w | (x * z) / w = u. [para(145(a,1),283(a,1,2))]. given #576 (H,wt=18): 502 x \ (((x * y) / z) * z) != u * w | u \ y = w. [para(7(a,2),285(a,1,2))]. given #577 (H,wt=18): 504 x \ y != z * (u \ (u * (z \ w))) | x * w = y. [para(4(a,2),286(a,2,2))]. given #578 (H,wt=18): 513 T(x \ (x / y),z) = L(T(y \ 1,z),y,x / y). [para(329(a,1),20(a,2,1)),flip(a)]. given #579 (H,wt=18): 514 T((x \ y) / y,z) = R(T(1 / x,z),x,x \ y). [para(334(a,1),22(a,2,1)),flip(a)]. given #580 (H,wt=18): 515 R(T(1 / (x / y),z),x / y,y) = T(y / x,z). [para(335(a,1),22(a,2,1))]. given #581 (H,wt=18): 516 x * (y \ (y * (x \ z))) != u * w | u \ z = w. [para(4(a,2),341(a,1,2))]. given #582 (H,wt=18): 517 x * (y * (y \ (x \ z))) != u * w | u \ z = w. [para(5(a,2),341(a,1,2))]. given #583 (H,wt=18): 518 x * (y * (y \ z)) != u * w | u \ (x * z) = w. [para(145(a,1),341(a,1,2))]. given #584 (H,wt=18): 524 R(L(x,y,z),1 / x,x) = L(T(x,1 / x),y,z). [para(523(a,1),24(a,2,1))]. given #585 (H,wt=18): 525 x / L(x,y,z) != u | (1 / L(x,y,z)) * x = u. [para(156(a,1),379(a,1,1))]. given #586 (H,wt=18): 527 L(x,y,z) / x != u | (1 / x) * L(x,y,z) = u. [para(159(a,1),379(a,1,1))]. given #587 (H,wt=18): 528 L(T((x \ 1) \ y,z),x \ 1,x) = T(x * y,z). [para(436(a,1),20(a,2,1))]. given #588 (H,wt=18): 531 ((x / y) * y) * z != u * w | (x * z) / w = u. [para(142(a,1),467(a,1,1))]. given #589 (H,wt=18): 532 ((1 / x) * y) * x != z * u | T(y,x) / u = z. [para(369(a,1),467(a,1,1))]. given #590 (H,wt=18): 534 (x * (x \ y)) / z != u * w | u \ (y / z) = w. [para(143(a,1),492(a,1,1))]. given #591 (H,wt=14): 807 x * y != z | x \ (u / (z \ u)) = y. [para(6(a,1),534(a,1)),flip(a)]. given #592 (H,wt=18): 535 T(x,y) / y != z * u | z \ ((1 / y) * x) = u. [para(365(a,2),492(a,1,1))]. given #593 (H,wt=18): 536 x \ y != (((z / u) / w) * w) * u | x * z = y. [para(7(a,2),505(a,2,1))]. given #594 (H,wt=18): 537 x \ y != ((z / u) * u) * w | x * (z * w) = y. [para(142(a,1),505(a,2,1))]. given #595 (H,wt=18): 539 (x * (x \ y)) \ z != u \ w | u * (y \ z) = w. [para(164(a,1),506(a,1,1))]. given #596 (H,wt=18): 541 x * ((y \ z) \ z) != u | x * T(y,y \ z) = u. [para(203(a,1),507(a,1,2,2))]. given #597 (H,wt=18): 543 ((x \ y) \ y) * z != u | T(x,x \ y) * z = u. [para(239(a,1),533(a,1,1,1))]. given #598 (H,wt=18): 544 x \ y != T(z,u) / u | x * ((1 / u) * z) = y. [para(365(a,2),538(a,2,1))]. given #599 (H,wt=18): 546 (x * y) \ ((z * x) * y) = R(T(z,x * y),x,y). [para(93(a,1),104(a,1,2))]. given #600 (H,wt=18): 547 x * (y * T(z,x * y)) = L(z,y,x) * (x * y). [hyper(58,a,87,a(flip),b,213,a)]. given #601 (H,wt=18): 548 x \ (L(y,z,x) * (x * z)) = z * T(y,x * z). [hyper(112,a,213,a(flip),b,87,a(flip))]. given #602 (H,wt=18): 553 (x * y) * R(T(z,x * y),x,y) = (z * x) * y. [hyper(272,a,93,a(flip),b,214,a),flip(a)]. given #603 (H,wt=18): 558 T((x * y) / x,x * y) = L(y,x,(x * y) / x). [hyper(215,a,87,a(flip),b,135,a(flip))]. given #604 (H,wt=13): 811 R(L(x,y,(y * x) / y),y,x) = x. [para(558(a,1),530(a,1,1))]. given #605 (H,wt=16): 813 R(x,y,z) != z | L(z,y,(y * z) / y) = x. [para(811(a,1),46(a,1)),flip(a)]. given #606 (H,wt=18): 565 R((x / y) \ 1,x / y,y) = T(y / x,x / y). [para(335(a,1),224(a,1,1)),flip(a)]. given #607 (H,wt=18): 566 R((1 / x) \ y,1 / x,x) = T(y * x,1 / x). [para(459(a,1),224(a,1,1)),flip(a)]. given #608 (H,wt=18): 571 ((x \ y) \ y) \ z != u | T(x,x \ y) \ z = u. [para(314(a,1),287(a,1,2))]. given #609 (H,wt=18): 580 T(x / y,z) * y != u | y * T(y \ x,z) = u. [para(391(a,1),227(a,1,1))]. given #610 (H,wt=18): 584 T(x * y,K(y,x)) != z | K(y,x) \ (y * x) = z. [para(168(a,1),581(a,1,1))]. given #611 (H,wt=18): 587 T((x * y) / x,z) * x != u | x * T(y,z) = u. [para(395(a,1),227(a,1,1))]. given #612 (H,wt=18): 592 L(T(x,y),y,z / y) = z \ ((z / y) * (x * y)). [para(98(a,1),90(a,1,2,2)),flip(a)]. given #613 (H,wt=18): 605 T(x / y,(y \ x) * y) = L(y \ x,y,y \ x). [hyper(35,a,222,a,b,598,a)]. given #614 (H,wt=18): 606 T(L(L(x,y,x),z,u),y) = L(T(x,x * y),z,u). [para(598(a,1),20(a,1,1)),flip(a)]. given #615 (H,wt=18): 607 T(R(L(x,y,x),z,u),y) = R(T(x,x * y),z,u). [para(598(a,1),22(a,1,1)),flip(a)]. given #616 (H,wt=18): 621 (x / y) \ (L(z,y,x / y) * x) = y * T(z,x). [hyper(112,a,213,a(flip),b,422,a(flip))]. given #617 (H,wt=18): 622 L(x \ y,x,(z * (z \ y)) / x) = T(y / x,y). [para(140(a,2),620(a,1,3))]. given #618 (H,wt=18): 640 T(T(x,y),y \ 1) != z | (x * y) * (y \ 1) = z. [para(378(a,1),486(a,1))]. given #619 (H,wt=18): 654 R(T(x,(x \ y) * x),x \ y,x) = (x \ y) \ y. [hyper(272,a,99,a(flip),b,652,a),flip(a)]. given #620 (H,wt=12): 822 R(x,x \ 1,x) = (x \ 1) \ 1. [para(638(a,1),654(a,1,1))]. given #621 (H,wt=13): 823 x / K(x \ 1,x) = (x \ 1) \ 1. [hyper(58,a,474,a,b,822,a)]. given #622 (H,wt=13): 824 ((x \ 1) \ 1) \ x = K(x \ 1,x). [hyper(172,a,823,a)]. given #623 (H,wt=18): 699 T(T(x * y,x),x \ 1) != z | (x \ 1) \ y = z. [para(680(a,2),581(a,1,1))]. given #624 (H,wt=18): 702 T(x,y) != T(y,z) \ 1 | (T(y,z) \ y) / y = x. [para(691(a,1),225(a,2))]. given #625 (H,wt=18): 707 T(T(x,y),z) * (y \ 1) != u | y \ T(x,z) = u. [para(18(a,1),690(a,1,1))]. given #626 (H,wt=18): 708 x * (L(x,y,z) \ 1) != u | L(x,y,z) \ x = u. [para(156(a,1),690(a,1,1))]. given #627 (H,wt=18): 712 L(x,y,z) * (x \ 1) != u | x \ L(x,y,z) = u. [para(159(a,1),690(a,1,1))]. given #628 (H,wt=18): 713 R(x,y,z) * (x \ 1) != u | x \ R(x,y,z) = u. [para(160(a,1),690(a,1,1))]. given #629 (H,wt=18): 716 R(x \ 1,T(x,y),x \ 1) = T(x \ 1,T(x,y)). [para(715(a,1),652(a,1,1))]. given #630 (H,wt=18): 724 ((x \ 1) \ y) / (x \ 1) != z * x | x * y = z. [para(721(a,2),39(a,1))]. given #631 (H,wt=18): 727 (x \ 1) \ y != z * (x \ 1) | (x * y) * x = z. [para(723(a,1),39(a,1))]. given #632 (H,wt=18): 728 (1 / x) \ (x * y) != x * z | (x \ 1) \ y = z. [para(725(a,2),38(a,1))]. given #633 (H,wt=18): 742 L((x \ y) / z,z,x) = (z * ((x * z) \ y)) / z. [para(254(a,1),559(a,1,1,2)),flip(a)]. given #634 (H,wt=18): 778 (x * y) \ (y * T(x,y / x)) = a(x,y / x,x). [para(660(a,1),80(a,1,2))]. given #635 (H,wt=18): 795 ((x / y) * y) / z != u * w | (x / z) / w = u. [para(7(a,1),482(a,1,1,1,1))]. given #636 (H,wt=18): 796 (x * (x \ y)) * z != u * w | u \ (y * z) = w. [para(72(a,1),491(a,1,1,1))]. given #637 (H,wt=18): 798 x * (y \ (y * z)) != u * w | (x * z) / w = u. [para(4(a,1),495(a,1,2,2,2))]. given #638 (H,wt=18): 799 x \ y != z * (u \ (u * w)) | x * (z * w) = y. [para(4(a,1),504(a,2,2,2,2))]. given #639 (H,wt=18): 802 x * (y \ (y * z)) != u * w | u \ (x * z) = w. [para(4(a,1),516(a,1,2,2,2))]. given #640 (H,wt=18): 806 (x * (x \ y)) * z != u * w | (y * z) / w = u. [para(72(a,1),531(a,1,1,1))]. given #641 (H,wt=18): 812 L(x,y,(y * x) / y) * y = y * T(x,y * x). [para(558(a,1),390(a,1,1))]. given #642 (H,wt=18): 814 x \ ((L(x,y,(y * x) / y) * y) * x) = y * x. [para(811(a,1),166(a,1,1))]. given #643 (H,wt=16): 830 T(L(x,y,(y * x) / y) * y,x) = y * x. [hyper(291,a,814,a)]. given #644 (H,wt=13): 831 T(x * T(y,x * y),y) = x * y. [para(812(a,1),830(a,1,1))]. given #645 (H,wt=13): 832 x * T(y,x * y) = (1 / y) \ x. [hyper(382,a,831,a),flip(a)]. given #646 (H,wt=13): 834 T(x,y * x) = y \ ((1 / x) \ y). [hyper(117,a,832,a),flip(a)]. given #647 (H,wt=15): 835 x \ ((y * (x * y)) / y) = T(y,x * y). [hyper(112,a,380,a,b,832,a)]. given #648 (H,wt=16): 836 x \ ((1 / y) \ x) != z | T(y,x * y) = z. [para(832(a,1),287(a,1,2))]. given #649 (H,wt=18): 818 T(1 / x,K(x \ 1,x)) = L(x \ 1,x,x \ 1). [para(232(a,2),605(a,1,2))]. given #650 (H,wt=18): 819 T(R(L(x,y,x),z,u),y) = T(R(x,z,u),x * y). [hyper(272,a,22,a(flip),b,607,a),flip(a)]. given #651 (H,wt=11): 837 R(L(x,y,x),y,T(x,y)) = x. [hyper(35,a,791,a(flip),b,819,a),flip(a)]. given #652 (H,wt=11): 838 L(R(x,y,T(x,y)),y,x) = x. [hyper(58,a,24,a(flip),b,837,a)]. given #653 (H,wt=14): 839 x \ T(y * x,y) = R(y,x,T(y,x)). [hyper(434,a,838,a)]. given #654 (H,wt=14): 840 L(x,y,z) != z | R(z,y,T(z,y)) = x. [para(838(a,1),45(a,1)),flip(a)]. given #655 (H,wt=14): 841 x * R(y,x,T(y,x)) = T(y * x,y). [hyper(127,a,839,a)]. given #656 (H,wt=18): 842 x * R(y / x,x,T(y / x,x)) = T(y,y / x). [para(7(a,1),841(a,2,1))]. given #657 (H,wt=16): 843 x * R(y / x,x,x \ y) = T(y,y / x). [para(100(a,1),842(a,1,2,3))]. given #658 (H,wt=15): 844 x * ((y * (x \ y)) / y) = T(y,y / x). [para(462(a,1),843(a,1,2))]. given #659 (H,wt=15): 845 x \ T(y,y / x) = (y * (x \ y)) / y. [hyper(117,a,844,a)]. given #660 (H,wt=13): 849 T(x \ T(y,y / x),y) = x \ y. [para(845(a,2),205(a,1,1))]. given #661 (H,wt=15): 851 T((x \ y) \ T(y,x),y) = (x \ y) \ y. [para(72(a,1),849(a,1,1,2,2))]. given #662 (H,wt=17): 846 (x / y) * ((x * y) / x) = T(x,x / (x / y)). [para(74(a,1),844(a,1,2,1,2))]. given #663 (H,wt=19): 250 (x * (y * z)) * a(x,y,z) != u | (x * y) * z = u. [para(9(a,2),230(a,1,2))]. given #664 (H,wt=19): 371 (1 / L(T(x,y),z,u)) * x = x / L(T(x,y),z,u). [hyper(113,a,198,a(flip),b,365,a(flip)),flip(a)]. given #665 (H,wt=19): 385 (x * R(T(y,x),z,u)) * w = (R(y,z,u) * x) * w. [para(22(a,2),204(a,1,1,2))]. given #666 (H,wt=19): 410 (x * L(x \ 1,y,z)) * (x \ 1) = L(x \ 1,y,z). [hyper(272,a,159,a(flip),b,378,a),flip(a)]. given #667 (H,wt=19): 411 R(x \ 1,y,z) / (x \ 1) = x * R(x \ 1,y,z). [hyper(113,a,160,a(flip),b,378,a)]. given #668 (H,wt=19): 415 ((x * (y * x)) / x) * (z * x) = x * ((y * z) * x). [para(380(a,2),27(a,1,1))]. given #669 (H,wt=19): 425 (x * (y * z)) / T(x * y,L(z,y,x)) = L(z,y,x). [hyper(113,a,87,a(flip),b,98,a)]. given #670 (H,wt=19): 512 L((x \ y) \ z,x \ y,x) != u | y \ (x * z) = u. [para(89(a,2),298(a,1))]. given #671 (H,wt=19): 568 x * R(x \ 1,x,y) != z | (y / (x * y)) * x = z. [para(562(a,1),248(a,1,2))]. given #672 (H,wt=19): 578 (1 / x) * T((1 / x) \ y,z) = T(y * x,z) / x. [hyper(113,a,381,a(flip),b,365,a(flip)),flip(a)]. given #673 (H,wt=17): 854 (1 / x) * T((1 / x) \ 1,y) = T(x,y) / x. [para(2(a,1),578(a,2,1,1))]. given #674 (H,wt=13): 856 T(1 / x,T(x,y) / x) = 1 / x. [para(854(a,1),758(a,1,2))]. given #675 (H,wt=17): 855 T(1 / (1 / x),y) * (1 / x) = T(x,y) / x. [hyper(393,a,854,a)]. given #676 (H,wt=19): 579 ((x / y) * T(y,z)) / (x / y) = T(x / (x / y),z). [para(74(a,1),391(a,1,1,2,1))]. given #677 (H,wt=19): 588 (x * (y * z)) \ ((x * y) * z) != u | a(x,y,z) = u. [para(79(a,1),287(a,1,2))]. given #678 (H,wt=19): 593 R(x,y / z,z) * y != u | (x * (y / z)) * z = u. [para(95(a,1),227(a,1,1))]. given #679 (H,wt=19): 613 x * ((x \ y) * z) != y * u | L(z,x \ y,x) = u. [para(363(a,1),38(a,1))]. given #680 (H,wt=19): 614 x \ (y * ((y \ x) * z)) != u | L(z,y \ x,y) = u. [para(363(a,1),287(a,1,2))]. given #681 (H,wt=19): 623 x \ (y * L(z,x \ y,x)) != (x \ y) * u | z = u. [para(426(a,2),38(a,1))]. given #682 (H,wt=19): 626 x \ (y * z) != (u \ y) * z | R(u,u \ y,z) = x. [para(445(a,1),43(a,1)),flip(a)]. given #683 (H,wt=19): 629 (x * (y / z)) * z != u * y | R(x,y / z,z) = u. [para(448(a,1),39(a,1))]. given #684 (H,wt=19): 663 (1 / x) \ (((1 / x) * y) * z) = (y * (z * x)) / x. [hyper(401,a,106,a)]. given #685 (H,wt=19): 665 (((1 / x) \ y) * z) / x = (1 / x) \ (y * (z / x)). [hyper(401,a,108,a),flip(a)]. given #686 (H,wt=19): 675 (1 / x) \ R(1 / x,y,z) = R(1 / x,y,z) * x. [para(160(a,1),673(a,1,1)),flip(a)]. given #687 (H,wt=18): 863 (1 / x) * ((y / (x * y)) * x) = R(1 / x,x,y). [hyper(114,a,332,a(flip),b,675,a)]. given #688 (H,wt=19): 695 (x * ((x \ 1) * y)) * (x \ 1) = y / ((x \ 1) \ 1). [hyper(58,a,378,a,b,680,a)]. given #689 (H,wt=19): 726 T(x * T(y,x \ 1),x) = (x * (y * (x \ 1))) * x. [para(17(a,2),722(a,1,1,2))]. given #690 (H,wt=13): 865 T(x * T(y,x \ 1),x) = x * y. [hyper(272,a,703,a(flip),b,726,a),flip(a)]. given #691 (H,wt=16): 866 T(x,y) != y * z | y * T(z,y \ 1) = x. [para(865(a,1),44(a,1)),flip(a)]. given #692 (H,wt=19): 745 ((x * (y / z)) / x) * z = z * ((x * (z \ y)) / x). [para(100(a,1),585(a,1,2,1,2)),flip(a)]. given #693 (H,wt=15): 868 T(x,x / y) / y = (x * (x / y)) / x. [hyper(113,a,844,a(flip),b,745,a)]. given #694 (H,wt=13): 869 T(T(x,x / y) / y,x) = x / y. [para(868(a,2),205(a,1,1))]. given #695 (H,wt=15): 870 T(T(x,x / (y \ x)) / (y \ x),x) = y. [hyper(272,a,72,a(flip),b,869,a),flip(a)]. given #696 (H,wt=11): 871 T(T(x,y) / (y \ x),x) = y. [para(72(a,1),870(a,1,1,1,2))]. given #697 (H,wt=13): 873 T(x,y) / (y \ x) = (x * y) / x. [hyper(242,a,871,a),flip(a)]. given #698 (H,wt=13): 875 T(x,y) = ((x * y) / x) * (y \ x). [hyper(125,a,873,a),flip(a)]. given #699 (H,wt=19): 746 (x * ((y * (x \ z)) / y)) / x = (y * (z / x)) / y. [hyper(242,a,586,a)]. given #700 (H,wt=19): 748 T(T(x,y * x) * y,x) = x \ (T(x,y) * (y * x)). [hyper(359,a,xx,b,655,a)]. given #701 (H,wt=19): 769 (1 / x) * ((y * (z * x)) / x) = ((1 / x) * y) * z. [hyper(526,a,749,a)]. given #702 (H,wt=19): 774 ((1 / x) * y) * (z / x) = (1 / x) * ((y * z) / x). [hyper(272,a,376,a,b,771,a),flip(a)]. given #703 (H,wt=19): 804 L(T(x,1 / x),y,z) / x = L(x,y,z) * (1 / x). [hyper(113,a,524,a(flip),b,237,a)]. given #704 (H,wt=19): 805 (x \ 1) * T((x \ 1) \ y,z) = x \ T(x * y,z). [hyper(112,a,528,a(flip),b,231,a),flip(a)]. given #705 (H,wt=17): 882 (x \ 1) * T((x \ 1) \ 1,y) = x \ T(x,y). [para(3(a,1),805(a,2,2,1))]. given #706 (H,wt=19): 816 x \ ((x / y) * ((y \ 1) * y)) = T(x \ (x / y),y). [hyper(58,a,513,a,b,592,a),flip(a)]. given #707 (H,wt=19): 817 (x / y) * ((y \ 1) * y) = x * T(x \ (x / y),y). [hyper(114,a,513,a,b,592,a(flip)),flip(a)]. given #708 (H,wt=19): 821 (x / y) \ ((x \ (x / y)) * x) = y * T(y \ 1,x). [para(329(a,1),621(a,1,2,1))]. given #709 (H,wt=15): 886 K(x \ (x / y),x) = y * T(y \ 1,x). [hyper(398,a,821,a)]. given #710 (H,wt=15): 887 K(x \ (x / (y \ 1)),x) = y \ T(y,x). [hyper(272,a,882,a(flip),b,886,a),flip(a)]. given #711 (H,wt=15): 888 K(x \ (x / (1 / y)),x) = T(y,x) / y. [hyper(272,a,854,a(flip),b,886,a),flip(a)]. given #712 (H,wt=15): 889 K(x \ (x / y),x) / y = T(1 / y,x). [hyper(113,a,886,a,b,389,a)]. given #713 (H,wt=15): 890 T(x,y) = K(y \ (y / (1 / x)),y) * x. [hyper(125,a,888,a(flip)),flip(a)]. given #714 (H,wt=19): 833 T(x * T(T(y,x),x * T(y,x)),T(y,x)) = y * x. [hyper(272,a,98,a(flip),b,831,a),flip(a)]. given #715 (H,wt=17): 893 T(x * T(T(y,x),y * x),T(y,x)) = y * x. [para(98(a,1),833(a,1,1,2,2))]. given #716 (H,wt=15): 894 T(T(x,x * y) * y,T(x,y)) = x * y. [para(212(a,1),893(a,1,1))]. given #717 (H,wt=19): 853 ((x * y) / x) * (z * x) = x * (((y / x) * z) * x). [para(7(a,1),415(a,1,1,1,2))]. given #718 (H,wt=19): 862 (1 / x) \ R(1 / x,y,z) = x * R(x \ 1,y,z). [hyper(272,a,554,a(flip),b,675,a),flip(a)]. given #719 (H,wt=19): 867 T(x * L(x \ 1,y,z),x) = x * L(x \ 1,y,z). [para(159(a,1),865(a,1,1,2))]. given #720 (H,wt=12): 895 T(x,x * L(x \ 1,y,z)) = x. [hyper(49,a,867,a)]. given #721 (H,wt=11): 897 T(x,x * (y \ (y / x))) = x. [para(329(a,1),895(a,1,2,2))]. given #722 (H,wt=15): 896 T(x \ y,(x \ y) * (y \ x)) = x \ y. [para(327(a,1),895(a,1,2,2))]. given #723 (H,wt=19): 883 (x \ 1) * T((x \ 1) \ (x \ y),z) = x \ T(y,z). [para(5(a,1),805(a,2,2,1))]. given #724 (H,wt=19): 885 (x / y) * K(y \ 1,y) = x * T(x \ (x / y),y). [para(232(a,2),817(a,1,2))]. given #725 (H,wt=19): 892 K((x * y) \ x,x * y) / y = T(1 / y,x * y). [para(6(a,1),889(a,1,1,1,2))]. given #726 (H,wt=20): 209 (x * (T(y,x) * z)) \ ((y * x) * z) = a(x,T(y,x),z). [para(98(a,1),9(a,2,2,1)),flip(a)]. given #727 (H,wt=20): 264 L(T(x,L(x,y,z) \ u),y,z) = (L(x,y,z) \ u) \ u. [hyper(58,a,20,a,b,99,a)]. given #728 (H,wt=20): 339 ((x / y) \ x) * z != u | T(u / y,(x / y) \ x) = z. [para(301(a,1),216(a,2))]. given #729 (H,wt=20): 361 (x * y) * L(L(z,y,x),u,w) = x * (y * L(z,u,w)). [hyper(114,a,25,a,b,13,a(flip))]. given #730 (H,wt=20): 362 (x * y) * R(L(z,y,x),u,w) = x * (y * R(z,u,w)). [hyper(114,a,24,a,b,13,a(flip))]. given #731 (H,wt=20): 416 T(x \ y,x \ 1) != (x \ 1) * z | T(y,x \ 1) = z. [para(383(a,2),216(a,2)),flip(a)]. given #732 (H,wt=20): 428 (x * (y * z)) / (y * L(z,y,x)) = R(x,y,L(z,y,x)). [para(87(a,1),15(a,2,1)),flip(a)]. given #733 (H,wt=20): 451 L(R(x,y,z),u,w) * (y * z) = (L(x,u,w) * y) * z. [para(24(a,1),93(a,1,1))]. given #734 (H,wt=20): 452 R(R(x,y,z),u,w) * (y * z) = (R(x,u,w) * y) * z. [para(26(a,1),93(a,1,1))]. given #735 (H,wt=20): 468 R(x * y,K(y,x),z) \ ((y * x) * z) = K(y,x) * z. [para(81(a,1),166(a,1,2,1))]. given #736 (H,wt=20): 475 x \ R(L(y,x \ 1,x),z,u) = (x \ 1) * R(y,z,u). [hyper(112,a,24,a,b,231,a)]. given #737 (H,wt=20): 477 (1 / x) \ L(L(y,x,1 / x),z,u) = x * L(y,z,u). [hyper(112,a,25,a,b,233,a)]. given #738 (H,wt=19): 912 (1 / x) \ L(1 / x,y,z) = x * L(x \ 1,y,z). [para(326(a,1),477(a,1,2,1))]. given #739 (H,wt=20): 480 R(R(x,1 / y,y),z,u) / y = R(x,z,u) * (1 / y). [hyper(113,a,26,a,b,237,a)]. given #740 (H,wt=20): 510 T(x \ 1,y) / (x \ 1) != z | x * T(x \ 1,y) = z. [para(373(a,1),296(a,1))]. given #741 (H,wt=20): 519 (x \ y) * (y / x) != z | (y / x) * T(y / x,x) = z. [para(100(a,1),344(a,1,1))]. given #742 (H,wt=20): 529 L(L((x \ 1) \ y,z,u),x \ 1,x) = L(x * y,z,u). [para(436(a,1),25(a,1,1)),flip(a)]. given #743 (H,wt=20): 573 T(x \ y,T(x,x \ y)) != z | ((x \ y) \ y) \ y = z. [para(99(a,2),570(a,1,2))]. given #744 (H,wt=20): 589 x * T(L(y,z \ x,z),u) = z * ((z \ x) * T(y,u)). [hyper(114,a,20,a(flip),b,88,a)]. given #745 (H,wt=20): 608 x * L(T(y,y * x),z,u) = L(L(y,x,y),z,u) * x. [para(598(a,1),213(a,1,2,1))]. given #746 (H,wt=20): 616 L(T(x \ T(y,z),u),x,z) = T((z * x) \ (y * z),u). [para(386(a,1),20(a,2,1))]. given #747 (H,wt=20): 624 L(T((x \ y) \ z,u),x \ y,x) = T(y \ (x * z),u). [para(437(a,1),20(a,2,1))]. given #748 (H,wt=20): 630 R(T(x / (y / z),u),y / z,z) = T((x * z) / y,u). [para(463(a,1),22(a,2,1))]. given #749 (H,wt=20): 643 T(R(x \ y,x,z),x * z) = T((x * z) \ (y * z),x). [para(563(a,1),222(a,1,1))]. given #750 (H,wt=20): 646 T(L(x,y \ z,y),y \ z) = z \ (y * (x * (y \ z))). [hyper(298,a,597,a),flip(a)]. given #751 (H,wt=20): 650 T((x * y) \ ((x * z) * y),x) = T(R(z,x,y),x * y). [para(642(a,2),222(a,1,1)),flip(a)]. given #752 (H,wt=20): 741 L(x / y,z,u) * y != w | y * L(y \ x,z,u) = w. [para(559(a,1),227(a,1,1))]. given #753 (H,wt=20): 744 R(x / y,z,u) * y != w | y * R(y \ x,z,u) = w. [para(561(a,1),227(a,1,1))]. given #754 (H,wt=20): 750 (x \ (y * (z * x))) / x != u | ((1 / x) * y) * z = u. [para(664(a,1),279(a,1,1))]. given #755 (H,wt=20): 753 x * ((y * (z / x)) * x) != u | ((1 / x) \ y) * z = u. [para(666(a,1),230(a,1,2))]. given #756 (H,wt=20): 760 L((x * y) / x,z,u) * x != w | x * L(y,z,u) = w. [para(738(a,2),227(a,1,1))]. given #757 (H,wt=20): 764 R((x * (1 / y)) / x,y,z) = (x * (z / (y * z))) / x. [para(202(a,1),740(a,2,1,2))]. given #758 (H,wt=20): 768 (1 / x) \ T(y,x) != z * x | x \ ((1 / x) \ y) = z. [para(747(a,1),39(a,1))]. given #759 (H,wt=20): 772 x / y != ((1 / y) * z) * u | y \ (z * (u * y)) = x. [para(749(a,1),41(a,1)),flip(a)]. given #760 (H,wt=20): 773 (((1 / x) * y) * z) * x != u | x \ (y * (z * x)) = u. [para(749(a,1),227(a,1,1))]. given #761 (H,wt=16): 924 T(x,y) * y != z | y \ (x * (y * y)) = z. [para(365(a,2),773(a,1,1))]. given #762 (H,wt=20): 797 ((x / y) * y) * z != u * w | T(u,w) = w \ (x * z). [para(98(a,1),491(a,2)),flip(b)]. given #763 (H,wt=20): 803 x * (y * (y \ z)) != u * w | T(u,w) = w \ (x * z). [para(98(a,1),518(a,2)),flip(b)]. given #764 (H,wt=20): 827 (x * (x \ y)) * z != u * w | T(u,w) = w \ (y * z). [para(98(a,1),796(a,2)),flip(b)]. given #765 (H,wt=20): 828 x * (y \ (y * z)) != u * w | T(u,w) = w \ (x * z). [para(98(a,1),802(a,2)),flip(b)]. given #766 (H,wt=20): 848 (x * y) * L((x \ y) / y,y,x) = T(y,y / (x * y)). [para(742(a,2),844(a,1,2))]. given #767 (H,wt=17): 925 x \ T(y,y / (x * y)) = y * ((x \ y) / y). [hyper(112,a,848,a(flip),b,87,a(flip))]. given #768 (H,wt=18): 926 x \ T(y,R(1 / x,x,y)) = y * ((x \ y) / y). [para(202(a,2),925(a,1,2,2))]. given #769 (H,wt=16): 927 x \ T(x,R(1 / x,x,x)) = x * (1 / x). [para(61(a,1),926(a,2,2,1))]. given #770 (H,wt=20): 906 L(R(x,x,y),z,u) * (x * y) = (x * L(x,z,u)) * y. [para(219(a,1),451(a,2,1))]. given #771 (H,wt=20): 918 T((x * y) \ (y * x),y \ 1) = L(y \ T(y,x),y,x). [para(700(a,1),616(a,1,1)),flip(a)]. given #772 (H,wt=15): 928 K(x,y) = T((y * x) \ (x * y),x \ 1). [hyper(272,a,615,a,b,918,a)]. given #773 (H,wt=11): 929 T(K(x,y),x \ 1) = K(x,y). [para(11(a,2),928(a,2,1)),flip(a)]. given #774 (H,wt=11): 930 T(x \ 1,K(x,y)) = x \ 1. [hyper(49,a,929,a)]. given #775 (H,wt=11): 931 x * T(x \ 1,K(x,y)) = 1. [hyper(114,a,930,a,b,xx)]. given #776 (H,wt=11): 932 T(x \ 1,K(y,x)) = x \ 1. [para(28(a,1),930(a,1,2))]. given #777 (H,wt=11): 935 T(1 / x,K(x,y)) = 1 / x. [hyper(113,a,931,a(flip),b,389,a),flip(a)]. given #778 (H,wt=11): 936 T(K(x,y),y \ 1) = K(x,y). [hyper(49,a,932,a)]. given #779 (H,wt=11): 937 T(1 / x,K(y,x)) = 1 / x. [para(28(a,1),935(a,1,2))]. given #780 (H,wt=12): 940 L(x \ 1,x,x \ 1) = 1 / x. [hyper(58,a,818,a(flip),b,937,a)]. given #781 (H,wt=13): 939 T(K(x,1 / y),y) = K(x,1 / y). [para(74(a,1),936(a,1,2))]. given #782 (H,wt=13): 942 ((x \ 1) * x) * (1 / x) = x \ 1. [hyper(114,a,940,a(flip),b,200,a(flip))]. given #783 (H,wt=13): 943 (x \ 1) / (1 / x) = (x \ 1) * x. [para(940(a,1),328(a,1,2))]. given #784 (H,wt=11): 946 T(1 / (1 / x),x \ 1) = x. [hyper(215,a,370,a,b,943,a(flip))]. given #785 (H,wt=12): 947 L(x,x \ 1,x) = 1 / (1 / x). [hyper(609,a,946,a)]. given #786 (H,wt=13): 945 K(x \ 1,x) * (1 / x) = x \ 1. [para(232(a,2),942(a,1,1))]. given #787 (H,wt=13): 949 T(1 / x,(x \ 1) \ 1) = x \ 1. [para(72(a,1),946(a,1,1,2))]. given #788 (H,wt=13): 950 T(1 / (1 / (1 / x)),x) = 1 / x. [para(74(a,1),946(a,1,2))]. given #789 (H,wt=13): 951 T(x,x \ 1) / x = x * (1 / x). [para(946(a,1),855(a,1,1)),flip(a)]. given #790 (H,wt=11): 963 T(x,1 / x) = (x \ 1) \ 1. [hyper(215,a,951,a(flip),b,406,a(flip))]. given #791 (H,wt=13): 952 x * K(x \ 1,x) = 1 / (1 / x). [hyper(735,a,947,a)]. given #792 (H,wt=13): 953 K(x \ 1,x) * x = 1 / (1 / x). [hyper(58,a,639,a,b,947,a)]. given #793 (H,wt=13): 954 (1 / (1 / x)) / x = K(x \ 1,x). [hyper(113,a,947,a(flip),b,639,a)]. given #794 (H,wt=13): 955 x \ (1 / (1 / x)) = K(x \ 1,x). [hyper(112,a,947,a(flip),b,476,a)]. given #795 (H,wt=13): 962 (x \ 1) \ (1 / x) = x * (1 / x). [hyper(58,a,754,a,b,951,a)]. given #796 (H,wt=12): 972 R(1 / x,x,1 / x) = x \ 1. [hyper(350,a,962,a)]. given #797 (H,wt=13): 964 (x \ 1) * (x * (1 / x)) = 1 / x. [hyper(114,a,951,a(flip),b,754,a)]. given #798 (H,wt=13): 966 T(1 / x,1 / (1 / x)) = x \ 1. [para(74(a,1),963(a,2,1))]. given #799 (H,wt=15): 948 T(T(1 / (1 / x),y),x \ 1) = T(x,y). [para(946(a,1),18(a,1,1)),flip(a)]. given #800 (H,wt=15): 961 (1 / (1 / (1 / x))) * x = x * (1 / x). [hyper(114,a,950,a(flip),b,17,a(flip)),flip(a)]. given #801 (H,wt=15): 971 (1 / x) * (1 / (1 / x)) = K(x \ 1,x). [hyper(58,a,418,a,b,954,a)]. given #802 (H,wt=16): 956 L(x \ 1,(x \ 1) \ 1,x \ 1) = 1 / x. [para(72(a,1),947(a,2,2))]. given #803 (H,wt=16): 967 1 / (1 / x) != x * y | K(x \ 1,x) = y. [para(952(a,1),38(a,1))]. given #804 (H,wt=16): 968 x \ (1 / (1 / x)) != y | K(x \ 1,x) = y. [para(952(a,1),287(a,1,2))]. given #805 (H,wt=17): 944 (1 / x) * K(y,1 / x) = K(y,1 / x) / x. [hyper(113,a,939,a(flip),b,365,a(flip)),flip(a)]. given #806 (H,wt=17): 974 R(x / (y * x),y,1 / y) = R(y \ 1,y,x). [para(972(a,1),336(a,1,1)),flip(a)]. given #807 (H,wt=18): 933 K(x,y) * (x \ 1) != z | (x \ 1) * K(x,y) = z. [para(930(a,1),248(a,1,2))]. given #808 (H,wt=18): 934 x * T(x \ 1,K(x,y)) != z * u | 1 / u = z. [para(930(a,2),283(a,1,2))]. given #809 (H,wt=20): 921 T((x * y) \ ((x * z) * y),x) = R(T(z,x * y),x,y). [hyper(272,a,22,a,b,650,a),flip(a)]. given #810 (H,wt=20): 938 T(x / y,K(y / x,z)) = R(1 / (y / x),y / x,x). [para(935(a,1),515(a,1,1)),flip(a)]. given #811 (H,wt=13): 980 T(x / y,K(y / x,z)) = x / y. [hyper(272,a,335,a(flip),b,938,a),flip(a)]. given #812 (H,wt=15): 981 T(x \ y,K(x / y,z)) = T(y / x,x). [para(980(a,1),222(a,1,1)),flip(a)]. given #813 (H,wt=13): 982 T(x \ y,K(x / y,z)) = x \ y. [hyper(272,a,100,a(flip),b,981,a),flip(a)]. given #814 (H,wt=20): 965 T(x,x \ 1) / x != (1 / x) * y | T(x,1 / x) = y. [para(951(a,2),216(a,2)),flip(a)]. given #815 (H,wt=20): 973 x \ y != (z \ 1) * (z * (1 / z)) | x * (1 / z) = y. [para(962(a,1),286(a,2,2))]. given #816 (H,wt=21): 107 (x \ y) * ((z * x) * (x \ y)) = ((1 / (x \ y)) \ z) * y. [para(5(a,1),27(a,1,2)),flip(a)]. given #817 (H,wt=21): 171 (x \ 1) * ((y * z) * (x \ 1)) = (x \ y) * (z * (x \ 1)). [para(72(a,1),27(a,1,1,1)),flip(a)]. given #818 (H,wt=21): 433 (x * y) * L(z,y,x) != (y * z) * u | T(x,y * z) = u. [para(87(a,2),216(a,2)),flip(a)]. given #819 (H,wt=21): 484 ((x * y) * z) / (y * z) != u * w | R(x,y,z) / w = u. [para(93(a,1),276(a,1,1))]. given #820 (H,wt=21): 488 R(x,y,z) * (y * z) != u * w | u \ ((x * y) * z) = w. [para(15(a,2),282(a,1,1))]. given #821 (H,wt=21): 494 (x * y) * L(z,y,x) != u * w | u \ (x * (y * z)) = w. [para(169(a,1),282(a,1,1))]. given #822 (H,wt=21): 496 (x * y) * L(z,y,x) != u * w | (x * (y * z)) / w = u. [para(13(a,2),283(a,1,2))]. given #823 (H,wt=21): 503 (x * y) \ (x * (y * z)) != u * w | u \ L(z,y,x) = w. [para(87(a,1),285(a,1,2))]. given #824 (H,wt=21): 511 ((x * y) * z) / (y * z) != u * w | u \ R(x,y,z) = w. [para(166(a,1),297(a,1,2))]. given #825 (H,wt=21): 540 (x * y) \ (x * (y * z)) != u \ w | u * L(z,y,x) = w. [para(169(a,1),506(a,1,1))]. given #826 (H,wt=21): 552 (x \ y) * L((x \ y) \ y,z,u) = L(x,z,u) * (x \ y). [para(99(a,1),213(a,1,2,1))]. given #827 (H,wt=19): 985 (x \ 1) * L((x \ 1) \ 1,y,z) = x \ L(x,y,z). [hyper(272,a,686,a(flip),b,552,a),flip(a)]. given #828 (H,wt=21): 556 (x \ y) * R((x \ y) \ y,z,u) = R(x,z,u) * (x \ y). [para(99(a,1),214(a,1,2,1))]. given #829 (H,wt=19): 987 (x \ 1) * R((x \ 1) \ 1,y,z) = x \ R(x,y,z). [hyper(272,a,687,a(flip),b,556,a),flip(a)]. given #830 (H,wt=21): 611 (x * y) * T((x * y) \ x,z) = x * (y * T(y \ 1,z)). [hyper(114,a,330,a,b,13,a(flip))]. given #831 (H,wt=21): 644 T(x / (y * z),y) * (y * z) = ((y \ (x / z)) * y) * z. [para(564(a,1),93(a,1,1))]. given #832 (H,wt=21): 669 (x * y) * T(L(z,y,x),u) != w | x * (y * T(z,u)) = w. [para(20(a,1),251(a,1,2))]. given #833 (H,wt=21): 717 (x \ y) \ ((x \ y) / (y / x)) = T(1 / (y / x),x \ y). [hyper(359,a,xx,b,370,a),flip(a)]. given #834 (H,wt=21): 718 ((x / y) \ x) / (x / (x / y)) = (1 / (x / (x / y))) * y. [para(74(a,1),370(a,1,2)),flip(a)]. given #835 (H,wt=17): 992 (1 / (x / (x / y))) * y = y / (x / (x / y)). [para(74(a,1),718(a,1,1)),flip(a)]. given #836 (H,wt=13): 993 x / (1 / (1 / x)) = x * (1 / x). [hyper(58,a,961,a(flip),b,992,a),flip(a)]. given #837 (H,wt=12): 994 L(x,1 / x,x) = 1 / (1 / x). [hyper(521,a,993,a)]. given #838 (H,wt=13): 995 (x * (1 / x)) * (1 / (1 / x)) = x. [hyper(125,a,993,a)]. given #839 (H,wt=21): 730 (x * y) * z != y * (T(x,y) * u) | L(u,T(x,y),y) = z. [para(98(a,1),429(a,1,1))]. given #840 (H,wt=21): 732 (x * y) \ (y * (T(x,y) * z)) != u | L(z,T(x,y),y) = u. [para(98(a,1),430(a,1,1))]. given #841 (H,wt=21): 736 (x * y) * T(z,y) != u * (z * y) | R(x,y,T(z,y)) = u. [para(98(a,1),453(a,2,2))]. given #842 (H,wt=21): 737 ((x * y) * T(z,y)) / (z * y) != u | R(x,y,T(z,y)) = u. [para(98(a,1),457(a,1,2))]. given #843 (H,wt=21): 752 (x * (y / (z \ 1))) * (z \ 1) = (z \ 1) \ ((z \ x) * y). [para(72(a,1),666(a,1,2,1,1)),flip(a)]. given #844 (H,wt=21): 755 (x \ (x * y)) \ ((x * y) / x) = ((x * y) / x) * (y \ 1). [para(4(a,1),688(a,1,2,1)),flip(a)]. given #845 (H,wt=17): 997 ((x * y) / x) * (y \ 1) = y \ ((x * y) / x). [para(4(a,1),755(a,1,1)),flip(a)]. given #846 (H,wt=21): 782 R(x / (y * x),z,u) != R(w,y,x) | R(1 / y,z,u) = w. [para(336(a,1),46(a,1))]. given #847 (H,wt=21): 786 (x * y) * T(T(x,x * y),z) = x * (y * T(T(x,y),z)). [para(596(a,1),364(a,1,2,1))]. given #848 (H,wt=17): 999 x * (y * T(T(x,y),z)) = T(x,z) * (x * y). [hyper(342,a,786,a),flip(a)]. given #849 (H,wt=15): 1000 T(x,y) * (x * z) = x * (T(x,y) * z). [para(212(a,1),999(a,1,2)),flip(a)]. given #850 (H,wt=15): 1001 x \ (T(x,y) * z) = T(x,y) * (x \ z). [hyper(518,a,1000,a)]. given #851 (H,wt=15): 1003 x * (T(x,y) * (x \ z)) = T(x,y) * z. [hyper(288,a,1000,a),flip(a)]. given #852 (H,wt=15): 1004 T(x,y) * (x * (T(x,y) \ z)) = x * z. [hyper(272,a,137,a(flip),b,1000,a),flip(a)]. given #853 (H,wt=15): 1005 x * (T(x,y) \ (x \ z)) = T(x,y) \ z. [hyper(112,a,68,a(flip),b,1000,a),flip(a)]. given #854 (H,wt=15): 1017 T(x,y) \ (x \ z) = x \ (T(x,y) \ z). [hyper(117,a,1005,a),flip(a)]. given #855 (H,wt=17): 1009 x * (T(x,y) * T(z,x)) = T(x,y) * (z * x). [para(98(a,1),1000(a,1,2)),flip(a)]. given #856 (H,wt=18): 1008 T(x,y) * (x * z) != x * u | T(x,y) * z = u. [para(1000(a,2),38(a,1))]. given #857 (H,wt=18): 1014 T(x,y) * z != x * u | T(x,y) * (x \ z) = u. [para(1003(a,1),38(a,1))]. given #858 (H,wt=18): 1015 x \ (T(x,y) * z) != u | T(x,y) * (x \ z) = u. [para(1003(a,1),287(a,1,2))]. given #859 (H,wt=16): 1023 x \ T(x,y) != z | T(x,y) * (x \ 1) = z. [para(3(a,1),1015(a,1,2))]. given #860 (H,wt=18): 1016 T(x,y) * z != x * u | x * (T(x,y) \ u) = z. [para(1004(a,1),38(a,1)),flip(a)]. given #861 (H,wt=19): 1007 (x / y) * (T(x / y,z) * y) = T(x / y,z) * x. [para(7(a,1),1000(a,1,2)),flip(a)]. given #862 (H,wt=19): 1013 T(x,x \ y) * (x \ (((x \ y) \ y) \ z)) = x \ z. [para(569(a,1),1001(a,1,2)),flip(a)]. given #863 (H,wt=19): 1018 (x / y) \ (T(x / y,z) \ x) = T(x / y,z) \ y. [para(74(a,1),1017(a,1,2)),flip(a)]. given #864 (H,wt=19): 1024 (x / y) * (y * T(y \ x,z)) = T(x / y,z) * x. [para(389(a,1),1007(a,1,2))]. given #865 (H,wt=20): 1006 (T(x,y) * x) \ (x * (T(x,y) * z)) = L(z,x,T(x,y)). [hyper(112,a,1000,a(flip),b,87,a)]. given #866 (H,wt=20): 1020 T(x,y) * (z * x) != x * u | T(x,y) * T(z,x) = u. [para(1009(a,1),38(a,1))]. given #867 (H,wt=20): 1021 x \ (T(x,y) * (z * x)) != u | T(x,y) * T(z,x) = u. [para(1009(a,1),287(a,1,2))]. given #868 (H,wt=20): 1026 (x * T(x,y)) \ (x * (T(x,y) * z)) = L(z,x,T(x,y)). [para(218(a,1),1006(a,1,1))]. given #869 (H,wt=16): 1029 L(x,y,T(y,z)) != u | L(x,T(y,z),y) = u. [para(1026(a,1),430(a,1))]. given #870 (H,wt=20): 1028 T(T(x,y * x) * y,x) != z | T(x,y) * T(y,x) = z. [para(748(a,2),1021(a,1))]. given #871 (H,wt=21): 800 T((x \ y) / y,z) * y = (T(1 / x,z) * x) * (x \ y). [para(514(a,2),447(a,1,1))]. given #872 (H,wt=21): 801 (T(1 / (x / y),z) * (x / y)) * y = T(y / x,z) * x. [para(515(a,1),448(a,1,1)),flip(a)]. given #873 (H,wt=21): 809 x \ (L(y,z,x) * (x * z)) != z * u | T(y,x * z) = u. [para(548(a,2),38(a,1))]. given #874 (H,wt=21): 810 (x * y) \ ((z * x) * y) != u | R(T(z,x * y),x,y) = u. [para(553(a,1),287(a,1,2))]. given #875 (H,wt=21): 820 T(x,y) != R(T(z,z * y),u,w) | R(L(z,y,z),u,w) = x. [para(607(a,1),44(a,1)),flip(a)]. given #876 (H,wt=21): 826 L((x \ y) / z,z,x) != u / z | z * ((x * z) \ y) = u. [para(742(a,2),41(a,1))]. given #877 (H,wt=21): 852 (x * R(x \ 1,y,z)) * x = x * (x * R(x \ 1,y,z)). [hyper(114,a,411,a(flip),b,693,a),flip(a)]. given #878 (H,wt=12): 1032 T(x,x * R(x \ 1,y,z)) = x. [hyper(216,a,852,a)]. given #879 (H,wt=21): 857 T((x * (1 / y)) / x,T(y,z) / y) = (x * (1 / y)) / x. [para(856(a,1),395(a,1,1,2)),flip(a)]. given #880 (H,wt=21): 864 R(1 / x,x,y) != (1 / x) * z | (y / (x * y)) * x = z. [para(863(a,1),38(a,1))]. given #881 (H,wt=21): 911 (x \ 1) * R((x \ 1) \ y,z,u) = x \ R(x * y,z,u). [para(436(a,1),475(a,1,2,1)),flip(a)]. given #882 (H,wt=21): 913 (1 / x) \ L(x \ 1,y,z) = x * L(T(x \ 1,x),y,z). [para(520(a,1),477(a,1,2,1))]. given #883 (H,wt=19): 1033 (1 / x) \ L(x \ 1,y,z) = L(x \ 1,y,z) * x. [hyper(272,a,213,a(flip),b,913,a),flip(a)]. given #884 (H,wt=21): 914 R(x / (1 / y),z,u) * (1 / y) = R(x * y,z,u) / y. [para(459(a,1),480(a,1,1,1)),flip(a)]. given #885 (H,wt=21): 915 (x \ 1) * L((x \ 1) \ y,z,u) = x \ L(x * y,z,u). [hyper(112,a,529,a(flip),b,231,a),flip(a)]. given #886 (H,wt=21): 916 x * ((x \ y) * T((x \ y) \ 1,z)) = y * T(y \ x,z). [para(327(a,1),589(a,1,2,1)),flip(a)]. given #887 (H,wt=19): 1037 (x \ y) * T((x \ y) \ 1,y) = x \ ((y \ x) * y). [hyper(112,a,98,a(flip),b,916,a),flip(a)]. given #888 (H,wt=19): 1039 x * T(x \ y,z) = y * K(z \ (z / (y \ x)),z). [para(886(a,2),916(a,1,2)),flip(a)]. given #889 (H,wt=19): 1040 K(x,y) = ((y * x) \ y) * T(((y * x) \ y) \ 1,y). [hyper(272,a,352,a,b,1037,a)]. given #890 (H,wt=19): 1041 K(x \ (x / (y \ z)),x) = y \ (z * T(z \ y,x)). [hyper(112,a,1039,a,b,xx),flip(a)]. given #891 (H,wt=21): 988 (x * y) * T((x * y) \ z,x) = ((x \ (z / y)) * x) * y. [hyper(580,a,644,a)]. given #892 (H,wt=21): 991 K(T(1 / (1 / x),x \ 1),x \ 1) = T(x,x \ 1) / x. [para(717(a,1),888(a,1,1))]. given #893 (H,wt=13): 1048 T(x,x \ 1) / x = K(x,x \ 1). [para(946(a,1),991(a,1,1)),flip(a)]. given #894 (H,wt=11): 1050 K(x,x \ 1) = x * (1 / x). [hyper(58,a,951,a(flip),b,1048,a),flip(a)]. given #895 (H,wt=11): 1052 K(x,1 / x) = K(x,x \ 1). [hyper(272,a,234,a,b,1050,a)]. given #896 (H,wt=13): 1049 K(x,x \ 1) * x = T(x,x \ 1). [hyper(125,a,1048,a)]. given #897 (H,wt=13): 1051 ((x \ 1) \ 1) / x = K(x,x \ 1). [hyper(58,a,268,a(flip),b,1048,a)]. given #898 (H,wt=13): 1056 K(x,x \ 1) * (x \ 1) = 1 / x. [para(1050(a,2),409(a,1,1))]. given #899 (H,wt=13): 1057 K(x,x \ 1) * (1 / (1 / x)) = x. [para(1050(a,2),995(a,1,1))]. given #900 (H,wt=13): 1060 K(x,x \ 1) * x = (x \ 1) \ 1. [hyper(272,a,99,a(flip),b,1049,a),flip(a)]. given #901 (H,wt=14): 1055 K(x,x \ 1) != x * y | 1 / x = y. [para(1050(a,2),38(a,1))]. given #902 (H,wt=15): 1053 K(1 / x,(1 / x) \ 1) = K(x \ 1,x). [hyper(272,a,971,a(flip),b,1050,a),flip(a)]. given #903 (H,wt=11): 1065 K(1 / x,x) = K(x \ 1,x). [para(74(a,1),1053(a,1,2))]. given #904 (H,wt=13): 1066 ((x \ 1) \ 1) \ x = K(1 / x,x). [hyper(272,a,824,a,b,1065,a)]. given #905 (H,wt=13): 1067 x * K(1 / x,x) = 1 / (1 / x). [hyper(114,a,1065,a,b,955,a)]. given #906 (H,wt=15): 1058 K((x / y) \ x,1 / y) = K(y,y \ 1). [hyper(58,a,576,a,b,1052,a)]. given #907 (H,wt=15): 1059 K(x \ 1,(x \ 1) \ 1) = K(x \ 1,x). [para(72(a,1),1052(a,1,2)),flip(a)]. given #908 (H,wt=15): 1069 K(1 / (1 / x),1 / x) = K(x,x \ 1). [hyper(58,a,1065,a,b,1058,a)]. given #909 (H,wt=16): 1063 (x \ 1) \ 1 != y * x | K(x,x \ 1) = y. [para(1060(a,1),39(a,1))]. given #910 (H,wt=16): 1064 ((x \ 1) \ 1) / x != y | K(x,x \ 1) = y. [para(1060(a,1),279(a,1,1))]. given #911 (H,wt=19): 1054 T(x,y) \ K(x,x \ 1) = x * (T(x,y) \ (1 / x)). [hyper(112,a,1050,a,b,1004,a)]. given #912 (H,wt=19): 1070 K(1 / (1 / x),(y / (1 / x)) \ y) = K(x,x \ 1). [para(74(a,2),1069(a,1,2))]. given #913 (H,wt=21): 996 (x \ 1) \ ((x \ y) * (x \ z)) = (y * T(z,x)) * (x \ 1). [para(678(a,2),752(a,1,1,2)),flip(a)]. given #914 (H,wt=21): 998 (x \ 1) * ((y * T(x,x \ 1)) / y) = x \ ((y * x) / y). [hyper(58,a,585,a,b,997,a)]. given #915 (H,wt=21): 1010 (x / y) * (T(x / y,y) * z) = (y \ x) * ((x / y) * z). [para(100(a,1),1000(a,1,1)),flip(a)]. given #916 (H,wt=19): 1072 (x / y) * ((y \ x) * z) = (y \ x) * ((x / y) * z). [para(100(a,1),1010(a,1,2,1))]. given #917 (H,wt=21): 1030 T((x \ y) / y,z) * y = (x * T(x \ 1,z)) * (x \ y). [para(389(a,1),800(a,2,1))]. given #918 (H,wt=19): 1074 (x \ (y \ x)) * x = (y * T(y \ 1,x)) * (y \ x). [para(100(a,1),1030(a,1,1))]. given #919 (H,wt=21): 1031 (T(1 / (x / y),z) * (x / y)) * y = x * T(x \ y,z). [hyper(272,a,389,a(flip),b,801,a),flip(a)]. given #920 (H,wt=21): 1035 (1 / x) * R((1 / x) \ y,z,u) = R(y * x,z,u) / x. [hyper(744,a,914,a)]. given #921 (H,wt=21): 1036 (x \ y) * T((x \ y) \ 1,z) = x \ (y * T(y \ x,z)). [hyper(117,a,916,a),flip(a)]. given #922 (H,wt=21): 1038 x * T(x \ y,y \ x) = y * K((y \ x) \ 1,y \ x). [para(307(a,1),916(a,1,2)),flip(a)]. given #923 (H,wt=21): 1046 K(x \ (x / (y \ (y / z))),x) = y \ ((y / z) * T(z,x)). [para(74(a,1),1041(a,2,2,2,1))]. given #924 (H,wt=21): 1071 (x \ 1) * ((y * ((x \ 1) \ 1)) / y) = x \ ((y * x) / y). [para(99(a,1),998(a,1,2,1,2))]. given #925 (H,wt=21): 1076 (((x / y) \ 1) * (x / y)) * y = x * T(x \ y,x / y). [para(100(a,1),1031(a,1,1,1))]. given #926 (H,wt=21): 1077 ((x / y) * T((x / y) \ 1,z)) * y = x * T(x \ y,z). [para(389(a,1),1031(a,1,1))]. given #927 (H,wt=19): 1082 K(x \ (x / (y / z)),x) * z = y * T(y \ z,x). [para(886(a,2),1077(a,1,1))]. given #928 (H,wt=19): 1083 K(x \ (x / (y / z)),x) = (y * T(y \ z,x)) / z. [hyper(122,a,1082,a),flip(a)]. given #929 (H,wt=21): 1078 x \ (y * K((y \ x) \ 1,y \ x)) = T(x \ y,y \ x). [hyper(117,a,1038,a)]. given #930 (H,wt=21): 1080 K((x / y) \ 1,x / y) * y = x * T(x \ y,x / y). [para(232(a,2),1076(a,1,1))]. given #931 (H,wt=21): 1081 (x / y) * T((x / y) \ 1,z) = (x * T(x \ y,z)) / y. [hyper(122,a,1077,a),flip(a)]. given #932 (H,wt=22): 399 K(x \ y,x) * z != (x \ y) * x | T(y,K(x \ y,x)) = z. [para(259(a,1),216(a,2))]. given #933 (H,wt=22): 582 T(x / y,z) * y != u * w | (y * T(y \ x,z)) / w = u. [para(391(a,1),467(a,1,1))]. given #934 (H,wt=22): 591 x * L(L(y,z,x / z),u,w) = (x / z) * (z * L(y,u,w)). [hyper(114,a,25,a,b,90,a)]. given #935 (H,wt=22): 600 (x * y) * R(L(T(x,y),y,x),z,u) = R(x,z,u) * (x * y). [para(596(a,2),214(a,1,2,1))]. given #936 (H,wt=19): 1087 x * (y * R(T(x,y),z,u)) = R(x,z,u) * (x * y). [hyper(58,a,362,a(flip),b,600,a)]. given #937 (H,wt=17): 1088 R(x,y,z) * (x * u) = x * (R(x,y,z) * u). [para(214(a,1),1087(a,1,2)),flip(a)]. given #938 (H,wt=17): 1090 x \ (R(x,y,z) * u) = R(x,y,z) * (x \ u). [hyper(518,a,1088,a)]. given #939 (H,wt=17): 1091 (R(x,y,z) * u) / (R(x,y,z) * (x \ u)) = x. [hyper(498,a,1088,a)]. given #940 (H,wt=17): 1092 R(x,y,z) \ (x * u) = x * (R(x,y,z) \ u). [hyper(112,a,137,a(flip),b,1088,a)]. given #941 (H,wt=18): 1093 R(x,y,z) * (x \ (y * z)) = x \ ((x * y) * z). [para(93(a,1),1090(a,1,2)),flip(a)]. given #942 (H,wt=16): 1094 R(x,y,x) * (x \ (y * x)) = T(x * y,x). [hyper(272,a,17,a,b,1093,a),flip(a)]. given #943 (H,wt=14): 1096 R(x,y,x) * T(y,x) = T(x * y,x). [para(17(a,2),1094(a,1,2))]. given #944 (H,wt=17): 1097 x \ T(y * z,y) != T(z,y) | R(y,z,y) = x. [para(1096(a,1),129(a,1,2))]. given #945 (H,wt=18): 1095 R(x,y,z) = (x \ ((x * y) * z)) / (x \ (y * z)). [hyper(122,a,1093,a),flip(a)]. given #946 (H,wt=22): 612 (x / y) * T(y \ x,z) != u | T(y \ x,z) * (x / y) = u. [para(305(a,1),342(a,1,2,1))]. given #947 (H,wt=22): 619 L(x \ 1,y,z) != u * (x \ 1) | x * L(x \ 1,y,z) = u. [para(159(a,1),414(a,1))]. given #948 (H,wt=22): 625 L(R((x \ y) \ z,u,w),x \ y,x) = R(y \ (x * z),u,w). [para(437(a,1),24(a,1,1)),flip(a)]. given #949 (H,wt=22): 627 L(R(x,y,y \ z),u,w) * z = (L(x,u,w) * y) * (y \ z). [para(24(a,1),447(a,1,1))]. given #950 (H,wt=22): 628 R(R(x,y,y \ z),u,w) * z = (R(x,u,w) * y) * (y \ z). [para(26(a,1),447(a,1,1))]. given #951 (H,wt=22): 641 x * L(T(y,x),z,u) != w * v5 | w \ (L(y,z,u) * x) = v5. [para(20(a,2),490(a,1,2))]. given #952 (H,wt=22): 645 (x / y) * R((x / y) \ 1,x / y,y) = (y / x) * (x / y). [para(7(a,1),567(a,1,1,2)),flip(a)]. given #953 (H,wt=15): 1100 T(x / y,(y / x) * (x / y)) = x / y. [para(645(a,1),1032(a,1,2))]. given #954 (H,wt=18): 1101 R(x / y,y / x,x / y) = T(x / y,y / x). [para(1100(a,1),652(a,1,1))]. given #955 (H,wt=21): 1102 R((x / y) \ 1,x / y,y) = R(y / x,x / y,y / x). [hyper(272,a,565,a,b,1101,a)]. given #956 (H,wt=22): 653 L(R(x,y,x),z,u) * (y * x) = (y * x) * L(T(x,y),z,u). [para(651(a,1),213(a,1,2,1)),flip(a)]. given #957 (H,wt=19): 1104 (x * y) * L(T(y,x),z,u) = (L(y,z,u) * x) * y. [hyper(58,a,451,a(flip),b,653,a),flip(a)]. given #958 (H,wt=22): 711 x * (L(T(x,y),z,u) \ 1) != w | L(T(x,y),z,u) \ x = w. [para(198(a,1),690(a,1,1))]. given #959 (H,wt=22): 739 L(((x * y) * z) / (x * y),y,x) = (x * (y * z)) / (x * y). [hyper(113,a,87,a(flip),b,551,a),flip(a)]. given #960 (H,wt=22): 743 ((x \ y) * (y \ x)) / (x \ y) = L(1 / (x \ y),x \ y,x). [para(327(a,1),559(a,1,1,2))]. given #961 (H,wt=22): 759 (x * y) * ((z * L(u,y,x)) / z) = x * (y * ((z * u) / z)). [hyper(114,a,738,a(flip),b,13,a(flip))]. given #962 (H,wt=22): 761 L((x * (y \ 1)) / x,y,z / y) = (x * (z \ (z / y))) / x. [para(329(a,1),738(a,2,1,2))]. given #963 (H,wt=22): 765 ((x * R(y,z,u)) / x) * (z * u) = (((x * y) / x) * z) * u. [para(740(a,1),93(a,1,1))]. given #964 (H,wt=22): 766 R((x * (y / (1 / z))) / x,1 / z,z) = (x * (y * z)) / x. [para(459(a,1),740(a,2,1,2))]. given #965 (H,wt=22): 787 L(T(T(x,y) \ z,u),T(x,y),y) = T((x * y) \ (y * z),u). [para(98(a,1),439(a,1,1,1)),flip(a)]. given #966 (H,wt=22): 789 T(R(x,y,T(z,y)),u) * (z * y) = (T(x,u) * y) * T(z,y). [para(98(a,1),450(a,1,2))]. given #967 (H,wt=22): 794 T(R(x,y,T(x,y)),z) * (x * y) = (x * y) * T(T(x,y),z). [para(791(a,1),212(a,1,2,1)),flip(a)]. given #968 (H,wt=19): 1113 (T(x,y) * z) * T(x,z) = (x * z) * T(T(x,z),y). [hyper(58,a,789,a(flip),b,794,a)]. given #969 (H,wt=21): 1114 T(T(x,x \ 1),y) / T(x,x \ 1) = T(x,y) * (x \ 1). [hyper(113,a,64,a(flip),b,1113,a)]. given #970 (H,wt=19): 1116 T(T(x,x \ 1),y) / T(x,x \ 1) = x \ T(x,y). [hyper(272,a,685,a(flip),b,1114,a),flip(a)]. given #971 (H,wt=22): 815 T(x,y) * (x \ z) != u | (x \ z) * T((x \ z) \ z,y) = u. [para(72(a,1),580(a,1,1,1))]. given #972 (H,wt=22): 825 L((x \ (y * (x * z))) / z,z,x) = (z * T(y,x * z)) / z. [para(17(a,2),742(a,2,1,2))]. given #973 (H,wt=22): 829 T(x,x \ y) * z != u * w | u \ (((x \ y) \ y) * z) = w. [para(314(a,1),802(a,1))]. given #974 (H,wt=22): 847 (x * y) * ((x * L(y \ 1,y,x)) / x) = T(x,x / (x * y)). [para(200(a,2),844(a,1,2,1,2))]. given #975 (H,wt=19): 1118 x \ T(x,x / (x * y)) = y * ((x * (y \ 1)) / x). [hyper(112,a,847,a(flip),b,759,a(flip))]. given #976 (H,wt=22): 850 x * ((y * (x \ y)) / y) != z * u | T(y,y / x) / u = z. [para(845(a,1),283(a,1,2))]. given #977 (H,wt=22): 860 (1 / x) \ y != (z * (u * x)) / x | ((1 / x) * z) * u = y. [para(663(a,1),42(a,1)),flip(a)]. given #978 (H,wt=22): 878 ((x * (y / z)) / x) * z != u | z * ((x * (z \ y)) / x) = u. [para(746(a,1),227(a,1,1))]. given #979 (H,wt=22): 879 (1 / x) * y != ((1 / x) * z) * u | (z * (u * x)) / x = y. [para(769(a,1),38(a,1)),flip(a)]. given #980 (H,wt=22): 880 (1 / x) \ (((1 / x) * y) * z) != u | (y * (z * x)) / x = u. [para(769(a,1),287(a,1,2))]. given #981 (H,wt=22): 881 (1 / x) * y != ((1 / x) * z) * (u / x) | (z * u) / x = y. [para(774(a,2),38(a,1)),flip(a)]. given #982 (H,wt=22): 899 ((x \ (x / y)) * y) / (x \ (x / y)) = L(y,x \ (x / y),y). [para(897(a,1),603(a,1,1,2))]. given #983 (H,wt=22): 900 ((x \ y) * (y \ x)) / (x \ y) = L(y \ x,x \ y,y \ x). [para(896(a,1),603(a,1,1,2))]. given #984 (H,wt=21): 1120 L(x \ y,y \ x,x \ y) = L(1 / (y \ x),y \ x,y). [hyper(58,a,743,a(flip),b,900,a),flip(a)]. given #985 (H,wt=22): 986 (x \ 1) * L((x \ 1) \ 1,y,z) != u | x \ L(x,y,z) = u. [para(552(a,2),712(a,1))]. given #986 (H,wt=22): 1011 (T(x,y) * z) \ (x * (T(x,y) * z)) = L(T(x,z),z,T(x,y)). [para(1000(a,1),211(a,1,2))]. given #987 (H,wt=16): 1122 L(T(x,y),y,T(x,z)) = T(x,T(x,z) * y). [hyper(291,a,1011,a),flip(a)]. given #988 (H,wt=16): 1123 T(L(x,y,T(x,z)),y) = T(x,T(x,z) * y). [hyper(58,a,20,a(flip),b,1122,a)]. given #989 (H,wt=18): 1124 (x * T(y,T(y,z) * x)) / x = L(y,x,T(y,z)). [hyper(242,a,1123,a)]. given #990 (H,wt=22): 1012 x \ (T(x,y) * (x / z)) = T(x,y) * L(z \ 1,z,x / z). [para(329(a,2),1001(a,2,2))]. given #991 (H,wt=22): 1019 T(x,y) * T(T(x,y) \ x,x) = L(x,T(x,y) \ x,T(x,y)). [hyper(29,a,363,a,b,1009,a),flip(a)]. given #992 (H,wt=22): 1025 T(x / y,z) * x != (x / y) * u | y * T(y \ x,z) = u. [para(1024(a,1),38(a,1))]. given #993 (H,wt=22): 1075 (x \ (y \ x)) * x != z * (y \ x) | y * T(y \ 1,x) = z. [para(1074(a,2),39(a,1))]. given #994 (H,wt=22): 1115 (T(x,y) * z) * T(x,z) != u * T(T(x,z),y) | x * z = u. [para(1113(a,2),39(a,1))]. given #995 (H,wt=22): 1117 L((x \ (y * (x * z))) / z,z,x) = T((z * y) / z,x * z). [hyper(272,a,395,a(flip),b,825,a),flip(a)]. given #996 (H,wt=22): 1119 x \ y != z * ((x * (z \ 1)) / x) | T(x,x / (x * z)) = y. [para(1118(a,1),42(a,1)),flip(a)]. given #997 (H,wt=23): 427 (x * (y * z)) \ (x * (y * (z * u))) = L(L(u,z,y),y * z,x). [para(87(a,1),13(a,2,2,2)),flip(a)]. given #998 (H,wt=23): 449 (((x * y) * z) * u) / ((y * z) * u) = R(R(x,y,z),y * z,u). [para(93(a,1),15(a,2,1,1)),flip(a)]. given #999 (H,wt=23): 456 ((x * y) * z) * K(y * z,R(x,y,z)) = (y * z) * R(x,y,z). [para(93(a,1),81(a,1,1))]. given #1000 (H,wt=23): 465 R(R(x,y,z) / u,u,y * z) = ((x * y) * z) / (u * (y * z)). [para(93(a,1),94(a,2,1))]. given #1001 (H,wt=23): 466 R(R(x / y,y,z),y * z,u) = ((x * z) * u) / ((y * z) * u). [para(94(a,2),94(a,1,1))]. given #1002 (H,wt=23): 572 R(T(x,R(x,y,z) \ u),y,z) != w | (R(x,y,z) \ u) \ u = w. [para(22(a,2),570(a,1))]. given #1003 (H,wt=23): 590 x * L(y,z \ x,z) != u * w | (z * ((z \ x) * y)) / w = u. [para(88(a,1),283(a,1,2))]. given #1004 (H,wt=23): 594 L(x,y,z) != (L(u,y,z) \ w) \ w | T(u,L(u,y,z) \ w) = x. [para(99(a,1),132(a,1)),flip(a)]. given #1005 (H,wt=23): 595 (x * (y * z)) \ ((x * y) * z) != u \ w | u * a(x,y,z) = w. [para(167(a,1),506(a,1,1))]. given #1006 (H,wt=23): 618 T((x * y) \ (z * x),u) != L(w,y,x) | T(y \ T(z,x),u) = w. [para(386(a,1),132(a,1,1))]. given #1007 (H,wt=23): 667 L(R(x,y,z),u,w) * (y * z) != v5 | (L(x,u,w) * y) * z = v5. [para(24(a,1),247(a,1,1))]. given #1008 (H,wt=23): 668 R(R(x,y,z),u,w) * (y * z) != v5 | (R(x,u,w) * y) * z = v5. [para(26(a,1),247(a,1,1))]. given #1009 (H,wt=23): 670 (x * y) * R(L(z,y,x),u,w) != v5 | x * (y * R(z,u,w)) = v5. [para(24(a,2),251(a,1,2))]. given #1010 (H,wt=23): 671 (x * y) * L(L(z,y,x),u,w) != v5 | x * (y * L(z,u,w)) = v5. [para(25(a,1),251(a,1,2))]. given #1011 (H,wt=23): 731 K(x \ 1,x) * y != (x \ 1) * (x * z) | L(z,x,x \ 1) = y. [para(232(a,2),429(a,1,1))]. given #1012 (H,wt=23): 770 (x * (y * (z \ 1))) / (z \ 1) = z \ (((1 / (z \ 1)) * x) * y). [hyper(112,a,749,a(flip),b,408,a(flip)),flip(a)]. given #1013 (H,wt=19): 1128 (x * (y * (z \ 1))) / (z \ 1) = z \ ((z * x) * y). [para(72(a,1),770(a,2,2,1,1))]. given #1014 (H,wt=19): 1130 (x \ ((x * y) * z)) * (x \ 1) = y * (z * (x \ 1)). [hyper(125,a,1128,a)]. given #1015 (H,wt=17): 1132 x \ (((x * y) * z) / x) = y * (z * (x \ 1)). [hyper(709,a,1130,a)]. given #1016 (H,wt=15): 1137 (x \ 1) * (y * (x \ 1)) = x \ (y / x). [para(64(a,1),1132(a,1,2,1)),flip(a)]. given #1017 (H,wt=17): 1133 x * (y * (z * (x \ 1))) = ((x * y) * z) / x. [hyper(114,a,1130,a(flip),b,684,a(flip))]. given #1018 (H,wt=17): 1136 (x \ y) * (z * (x \ 1)) = x \ ((y * z) / x). [para(5(a,1),1132(a,1,2,1,1)),flip(a)]. given #1019 (H,wt=17): 1144 ((x * y) * T(z,x)) / x = x * (y * (x \ z)). [para(676(a,1),1133(a,1,2,2)),flip(a)]. given #1020 (H,wt=15): 1153 x * ((x \ 1) * (x \ y)) = T(y,x) / x. [para(64(a,1),1144(a,1,1)),flip(a)]. given #1021 (H,wt=15): 1155 x \ ((1 / x) * y) = (x \ 1) * (x \ y). [hyper(112,a,369,a(flip),b,1153,a)]. given #1022 (H,wt=17): 1148 x \ ((y * T(z,x)) / x) = (x \ y) * (x \ z). [para(676(a,1),1136(a,1,2)),flip(a)]. given #1023 (H,wt=17): 1151 (x * (y * (x \ z))) * x = (x * y) * T(z,x). [hyper(125,a,1144,a)]. given #1024 (H,wt=13): 1159 (x * x) * T(y,x) = (x * y) * x. [para(5(a,1),1151(a,1,1,2)),flip(a)]. given #1025 (H,wt=15): 1161 (x * (y / x)) * x = (x * x) * (x \ y). [para(100(a,1),1159(a,1,2)),flip(a)]. given #1026 (H,wt=16): 1160 (x * y) * x != (x * x) * z | T(y,x) = z. [para(1159(a,1),38(a,1))]. given #1027 (H,wt=17): 1152 x * ((x \ y) * (x \ z)) = (y * T(z,x)) / x. [para(5(a,1),1144(a,1,1,1)),flip(a)]. given #1028 (H,wt=17): 1157 (x * T(y * z,y)) / y = y * ((y \ x) * z). [hyper(799,a,1148,a),flip(a)]. given #1029 (H,wt=17): 1158 (x * y) * T(x * z,x) = (x * (y * z)) * x. [para(4(a,1),1151(a,1,1,2,2)),flip(a)]. given #1030 (H,wt=17): 1163 (x * ((x \ y) * z)) * x = y * T(x * z,x). [hyper(125,a,1157,a)]. given #1031 (H,wt=17): 1164 (x * (y / (z \ 1))) / z = z * ((z \ x) * y). [para(680(a,1),1157(a,1,1,2))]. given #1032 (H,wt=17): 1165 (x * y) \ ((x * (y * z)) * x) = T(x * z,x). [hyper(117,a,1158,a)]. given #1033 (H,wt=17): 1170 T(x * (y \ (x \ z)),x) = (x * y) \ (z * x). [para(68(a,1),1165(a,1,2,1)),flip(a)]. given #1034 (H,wt=17): 1171 (x \ (y \ z)) / (y \ 1) = (y * x) \ (z * y). [hyper(58,a,680,a(flip),b,1170,a)]. given #1035 (H,wt=18): 1140 x \ (y / x) != (x \ 1) * z | y * (x \ 1) = z. [para(1137(a,1),38(a,1))]. given #1036 (H,wt=18): 1141 x \ y != (x \ 1) * (z * (x \ 1)) | z / x = y. [para(1137(a,2),42(a,1)),flip(a)]. given #1037 (H,wt=18): 1156 T(x,y) / y != y * z | (y \ 1) * (y \ x) = z. [para(1153(a,1),38(a,1))]. given #1038 (H,wt=19): 1149 x \ ((y * T(x,z)) / x) = (x \ y) * (x \ T(x,z)). [para(685(a,1),1136(a,1,2)),flip(a)]. given #1039 (H,wt=20): 1135 x * (y * (z \ 1)) != u | z \ (((z * x) * y) / z) = u. [para(1130(a,1),709(a,1))]. given #1040 (H,wt=20): 1138 x * (y * (z * (x \ 1))) != u | ((x * y) * z) / x = u. [para(1132(a,1),230(a,1,2))]. given #1041 (H,wt=20): 1142 ((x * y) * z) / x != x * u | y * (z * (x \ 1)) = u. [para(1133(a,1),38(a,1))]. given #1042 (H,wt=20): 1143 x \ (((x * y) * z) / x) != u | y * (z * (x \ 1)) = u. [para(1133(a,1),287(a,1,2))]. given #1043 (H,wt=20): 1146 x \ y != (x \ z) * (u * (x \ 1)) | (z * u) / x = y. [para(1136(a,2),42(a,1)),flip(a)]. given #1044 (H,wt=20): 1154 (x * (y * (x \ z))) * x != u | (x * y) * T(z,x) = u. [para(1144(a,1),227(a,1,1))]. given #1045 (H,wt=20): 1166 (x * y) * T(x * z,x) != u * x | x * (y * z) = u. [para(1158(a,2),39(a,1))]. given #1046 (H,wt=20): 1168 x / y != y * ((y \ z) * u) | z * (u / (y \ 1)) = x. [para(1164(a,1),41(a,1)),flip(a)]. given #1047 (H,wt=21): 1145 ((x * y) * L(x,z,u)) / x = x * (y * (x \ L(x,z,u))). [para(686(a,1),1133(a,1,2,2)),flip(a)]. given #1048 (H,wt=21): 1150 x \ ((y * L(x,z,u)) / x) = (x \ y) * (x \ L(x,z,u)). [para(686(a,1),1136(a,1,2)),flip(a)]. given #1049 (H,wt=21): 1162 (x * (((1 / y) * z) * y)) / y = y * ((y \ x) * (y \ z)). [para(365(a,1),1152(a,2,1,2)),flip(a)]. given #1050 (H,wt=21): 1167 x * T(y * T(z,y \ x),y) = (y * (z * (y \ x))) * y. [para(98(a,1),1163(a,1,1,2)),flip(a)]. given #1051 (H,wt=19): 1173 x * T(y * T(z,y \ x),y) = (y * z) * T(x,y). [hyper(272,a,1151,a(flip),b,1167,a),flip(a)]. given #1052 (H,wt=21): 1169 (1 / x) * (((1 / x) \ y) * z) = (y * (z / x)) / (1 / x). [para(74(a,1),1164(a,1,1,2,2)),flip(a)]. given #1053 (H,wt=22): 1134 (x * (y * (z \ 1))) / (z \ 1) != u | z \ ((z * x) * y) = u. [para(1130(a,1),279(a,1,1))]. given #1054 (H,wt=22): 1139 x \ (((x * y) * z) / x) = (y * z) * (a(x,y,z) * (x \ 1)). [para(79(a,1),1132(a,1,2,1))]. given #1055 (H,wt=20): 1176 (x * y) * (a(z,x,y) * (z \ 1)) = x * (y * (z \ 1)). [hyper(1143,a,1139,a),flip(a)]. given #1056 (H,wt=15): 1177 a(x,y,z) * (x \ 1) = L(x \ 1,z,y). [hyper(429,a,1176,a),flip(a)]. given #1057 (H,wt=13): 1178 a(x,y,z) = x * L(x \ 1,z,y). [hyper(30,a,410,a,b,1177,a),flip(a)]. given #1058 (H,wt=8): 1186 T(x,a(x,y,z)) = x. [para(1178(a,2),895(a,1,2))]. given #1059 (H,wt=11): 1188 T(a(x,y,z),x) = a(x,y,z). [hyper(49,a,1186,a)]. given #1060 (H,wt=8): 1193 K(a(x,y,z),x) = 1. [hyper(50,a,1188,a)]. given #1061 (H,wt=13): 1181 a(x \ 1,y,z) = x \ L(x,z,y). [hyper(272,a,985,a(flip),b,1178,a),flip(a)]. given #1062 (H,wt=13): 1183 L(x,y,z) = x * a(x \ 1,z,y). [hyper(114,a,1178,a,b,985,a(flip)),flip(a)]. given #1063 (H,wt=13): 1184 L(x \ 1,y,z) = x \ a(x,z,y). [hyper(112,a,1178,a,b,xx),flip(a)]. given #1064 (H,wt=13): 1189 a(x,y,z) * x = x * a(x,y,z). [hyper(114,a,1186,a(flip),b,17,a(flip))]. given #1065 (H,wt=13): 1196 L(x,y,z) / a(x \ 1,z,y) = x. [hyper(178,a,1181,a(flip))]. given #1066 (H,wt=15): 1180 a(x,y,z) = (1 / x) \ L(1 / x,z,y). [hyper(272,a,912,a,b,1178,a),flip(a)]. given #1067 (H,wt=15): 1182 (1 / x) * a(x,y,z) = L(1 / x,z,y). [hyper(114,a,1178,a,b,912,a)]. given #1068 (H,wt=15): 1203 L(x,y,z) = (1 / x) \ a(1 / x,z,y). [para(74(a,1),1184(a,1,1))]. given #1069 (H,wt=15): 1207 L(1 / x,y,z) * x = T(a(x,z,y),x). [para(1180(a,2),368(a,1,1)),flip(a)]. given #1070 (H,wt=16): 1185 a(x,y,z) != x * u | L(x \ 1,z,y) = u. [para(1178(a,2),38(a,1))]. given #1071 (H,wt=16): 1187 a(x \ 1,y,z) != u | x \ L(x,z,y) = u. [para(1178(a,2),986(a,1))]. given #1072 (H,wt=16): 1190 a(x,y,z) * x != u | x * a(x,y,z) = u. [para(1186(a,1),248(a,1,2))]. given #1073 (H,wt=16): 1194 x * a(x,y,z) != u | a(x,y,z) * x = u. [para(1188(a,1),248(a,1,2))]. given #1074 (H,wt=16): 1197 a(x \ 1,y,z) != u \ L(x,z,y) | x = u. [para(1181(a,2),43(a,1))]. given #1075 (H,wt=16): 1198 x * a(x \ 1,y,z) != u | L(x,z,y) = u. [para(1181(a,2),230(a,1,2))]. given #1076 (H,wt=16): 1199 x \ L(x,y,z) != u | a(x \ 1,z,y) = u. [para(1183(a,2),287(a,1,2))]. given #1077 (H,wt=16): 1202 L(x \ 1,y,z) != x \ u | a(x,z,y) = u. [para(1184(a,2),42(a,1))]. given #1078 (H,wt=16): 1204 x * L(x \ 1,y,z) != u | a(x,z,y) = u. [para(1184(a,2),230(a,1,2))]. given #1079 (H,wt=17): 1195 x / a(y \ 1,z,u) = x / (y \ L(y,u,z)). [hyper(55,a,1181,a)]. given #1080 (H,wt=17): 1201 L(x \ 1,y,z) \ u = (x \ a(x,z,y)) \ u. [hyper(56,a,1184,a)]. given #1081 (H,wt=18): 1179 L(x \ 1,y,z) != u * (x \ 1) | a(x,z,y) = u. [para(1177(a,1),39(a,1))]. given #1082 (H,wt=18): 1192 (x * (y * z)) \ ((x * y) * z) = T(a(x,y,z),x). [hyper(272,a,9,a(flip),b,1188,a)]. given #1083 (H,wt=18): 1209 (1 / x) \ L(1 / x,y,z) != u | a(x,z,y) = u. [para(1182(a,1),287(a,1,2))]. given #1084 (H,wt=18): 1210 T(a(x,y,z),x) != u | x * L(x \ 1,z,y) = u. [para(1207(a,1),741(a,1))]. given #1085 (H,wt=16): 1212 a(x,y,z) != u | x * L(x \ 1,z,y) = u. [para(1188(a,1),1210(a,1))]. given #1086 (H,wt=19): 1191 R(x,y,z) * a(x,u,w) = a(x,u,w) * R(x,y,z). [para(1186(a,1),214(a,1,2,1)),flip(a)]. given #1087 (H,wt=20): 1205 x \ y != z * L(z \ 1,u,w) | x * a(z,w,u) = y. [para(1184(a,2),286(a,2,2))]. given #1088 (H,wt=20): 1206 x * L(x \ 1,y,z) != u * w | u \ a(x,z,y) = w. [para(1184(a,2),341(a,1,2))]. given #1089 (H,wt=22): 1172 (x * (y * T(z,x))) * x != u | (x * y) * T(z * x,x) = u. [para(17(a,2),1154(a,1,1,2,2))]. given #1090 (H,wt=22): 1174 x \ ((x * (y / z)) / (1 / z)) = L(y,(1 / z) \ x,1 / z). [hyper(112,a,1169,a(flip),b,363,a)]. given #1091 (H,wt=23): 781 (x * y) * R((x * y) \ x,z,u) = x * (y * R(y \ 1,z,u)). [hyper(114,a,331,a,b,13,a(flip))]. given #1092 (H,wt=23): 783 R(x / (y * x),z,u) * (y * x) = (R(1 / y,z,u) * y) * x. [para(336(a,1),93(a,1,1))]. given #1093 (H,wt=23): 784 (x * y) * T((x * y) \ (x * z),u) = x * (y * T(y \ z,u)). [para(89(a,1),364(a,1,2,1))]. given #1094 (H,wt=21): 1214 ((x \ ((x * y) / z)) * x) * z = x * (z * T(z \ y,x)). [hyper(58,a,988,a(flip),b,784,a)]. given #1095 (H,wt=19): 1216 x * (x * T(x \ T(y,x),x)) = ((x \ y) * x) * x. [para(206(a,1),1214(a,1,1,1,2)),flip(a)]. given #1096 (H,wt=17): 1217 x * ((x \ T(y,x)) * x) = ((x \ y) * x) * x. [para(98(a,1),1216(a,1,2))]. given #1097 (H,wt=15): 1218 T((x \ y) * x,x) = (x \ T(y,x)) * x. [hyper(216,a,1217,a)]. given #1098 (H,wt=15): 1219 T((x \ y) * x,x) / x = x \ T(y,x). [hyper(113,a,1218,a,b,xx)]. given #1099 (H,wt=15): 1220 x * (T((x \ y) * x,x) / x) = T(y,x). [para(1218(a,2),71(a,1,2,1))]. given #1100 (H,wt=15): 1221 T(x * y,y) / y = y \ T(y * x,y). [para(4(a,1),1219(a,1,1,1,1))]. given #1101 (H,wt=15): 1224 x \ T(x * (y / x),x) = T(y,x) / x. [para(76(a,1),1219(a,1,1,1)),flip(a)]. given #1102 (H,wt=18): 1222 (x \ T(y,x)) * x != z | T((x \ y) * x,x) = z. [para(1219(a,1),227(a,1,1))]. given #1103 (H,wt=18): 1223 x * (T((x \ y) * x,x) / x) != z | T(y,x) = z. [para(1219(a,2),230(a,1,2))]. given #1104 (H,wt=19): 1226 x * ((1 / x) * T((1 / x) \ y,x)) = T(x * y,x). [hyper(114,a,578,a,b,1221,a(flip))]. given #1105 (H,wt=19): 1228 T(x * (y * (1 / x)),x) = x * (T(y,x) * (1 / x)). [para(355(a,1),1226(a,1,2)),flip(a)]. given #1106 (H,wt=21): 1215 x * (y * T(y \ (x \ z),x)) = ((x \ (z / y)) * x) * y. [para(5(a,1),1214(a,1,1,1,2,1)),flip(a)]. given #1107 (H,wt=22): 1225 (x \ T(y,x)) * x != z * u | T((x \ y) * x,x) / u = z. [para(1219(a,1),467(a,1,1))]. given #1108 (H,wt=23): 785 (x * y) * T((x * y) \ z,u) = x * (y * T(y \ (x \ z),u)). [para(254(a,1),364(a,1,2,1))]. given #1109 (H,wt=23): 790 T((x * y) / (z * y),u) * (z * y) = (T(x / z,u) * z) * y. [para(94(a,1),450(a,1,1,1))]. given #1110 (H,wt=19): 1232 (T((x * y) / x,z) * x) * y = (x * y) * T(y,z). [hyper(587,a,790,a),flip(a)]. given #1111 (H,wt=15): 1234 (x * T(y,z)) * y = (x * y) * T(y,z). [para(390(a,1),1232(a,1,1))]. given #1112 (H,wt=15): 1236 (x * y) / T(y,z) = (x / T(y,z)) * y. [hyper(531,a,1234,a)]. given #1113 (H,wt=15): 1237 ((x / T(y,z)) * y) \ (x * y) = T(y,z). [hyper(491,a,1234,a)]. given #1114 (H,wt=15): 1238 (x * T(y,z)) \ ((x * y) * T(y,z)) = y. [hyper(117,a,1234,a)]. given #1115 (H,wt=15): 1239 (x * T(y,z)) / y = (x / y) * T(y,z). [hyper(113,a,135,a(flip),b,1234,a)]. given #1116 (H,wt=13): 1249 (x / y) * T(y,x) = (y * x) / y. [para(98(a,1),1239(a,1,1)),flip(a)]. given #1117 (H,wt=13): 1251 T(x,y) = (y / x) \ ((x * y) / x). [hyper(117,a,1249,a),flip(a)]. given #1118 (H,wt=15): 1240 ((x / y) * T(y,z)) \ (x * T(y,z)) = y. [hyper(112,a,135,a(flip),b,1234,a)]. given #1119 (H,wt=16): 1243 (x * y) * T(y,x) != z | (y * x) * y = z. [para(1234(a,1),486(a,1))]. given #1120 (H,wt=16): 1248 R(T(x,y * T(x,z)),y,T(x,z)) = T(x,y). [para(1238(a,1),921(a,1,1)),flip(a)]. given #1121 (H,wt=17): 1250 ((x \ y) * y) / (x \ y) = x * T(x \ y,y). [hyper(296,a,1249,a),flip(a)]. given #1122 (H,wt=17): 1252 ((x * y) / x) / T(y / x,T(x,y)) = T(x,y). [hyper(113,a,1249,a(flip),b,98,a)]. given #1123 (H,wt=18): 1246 x * T(y,z) != u * y | (u / T(y,z)) * y = x. [para(1237(a,1),121(a,1,2))]. given #1124 (H,wt=18): 1247 (x * T(y,z)) * y != u | (x * y) * T(y,z) = u. [para(1238(a,1),230(a,1,2))]. given #1125 (H,wt=19): 1254 K(x \ (x / (x \ (x / y))),x) = x \ ((y * x) / y). [para(1249(a,1),1046(a,2,2))]. given #1126 (H,wt=20): 1242 x \ ((y * x) * T(x,z)) != u | T(y * T(x,z),x) = u. [para(1234(a,1),291(a,1,2))]. given #1127 (H,wt=20): 1245 (x * y) / T(y,z) != y * u | T(x / T(y,z),y) = u. [para(1236(a,2),216(a,2)),flip(a)]. given #1128 (H,wt=20): 1255 (x / y) * T(y,x) != z * u | ((y * x) / y) / u = z. [para(1251(a,2),283(a,1,2))]. given #1129 (H,wt=20): 1257 ((x * y) / x) / z != T(x,y) | T(y / x,T(x,y)) = z. [para(1252(a,1),40(a,1)),flip(a)]. given #1130 (H,wt=21): 1235 (((1 / x) * y) * x) * T(x,z) = x \ (y * (T(x,z) * x)). [hyper(773,a,1234,a),flip(a)]. given #1131 (H,wt=17): 1258 x \ (y * (T(x,z) * x)) = T(y,x) * T(x,z). [para(365(a,2),1235(a,1,1)),flip(a)]. given #1132 (H,wt=21): 1241 (x * (y / z)) * T(y / z,z) = (x * (z \ y)) * (y / z). [para(100(a,1),1234(a,1,1,2)),flip(a)]. given #1133 (H,wt=21): 1244 (x / T(y / z,z)) * (y / z) = (x * (y / z)) / (z \ y). [para(100(a,1),1236(a,1,2)),flip(a)]. given #1134 (H,wt=19): 1260 (x * (y / z)) / (z \ y) = (x / (z \ y)) * (y / z). [para(100(a,1),1244(a,1,1,2)),flip(a)]. given #1135 (H,wt=19): 1261 (x / (y / z)) / (z \ y) = (x / (z \ y)) / (y / z). [hyper(795,a,1260,a),flip(a)]. given #1136 (H,wt=19): 1262 ((x * (y \ z)) / (z / y)) / (y \ z) = x / (z / y). [hyper(482,a,1260,a),flip(a)]. given #1137 (H,wt=22): 1256 (x * ((x * y) * y)) * x != z | ((x * y) * x) * (x * y) = z. [para(1158(a,1),1243(a,1))]. given #1138 (H,wt=22): 1263 ((x / (y \ z)) / (z / y)) * (y \ z) != u | x / (z / y) = u. [para(1261(a,1),227(a,1,1))]. given #1139 (H,wt=22): 1264 x / (y \ z) != u / (z / y) | (u * (y \ z)) / (z / y) = x. [para(1262(a,1),41(a,1)),flip(a)]. given #1140 (H,wt=22): 1265 (x / (y / z)) * (z \ y) != u | (x * (z \ y)) / (y / z) = u. [para(1262(a,1),227(a,1,1))]. given #1141 (H,wt=23): 858 ((x / y) * ((y \ z) \ z)) / (x / y) = T(x / (x / y),y \ z). [para(99(a,1),579(a,1,1,2))]. given #1142 (H,wt=23): 859 (x * (y * z)) \ ((x * z) * T(y,z)) != u | a(x,z,T(y,z)) = u. [para(98(a,1),588(a,1,1,2))]. given #1143 (H,wt=23): 876 ((x * R(1 / y,y,x)) / x) * (y * x) = T(x,R(1 / y,y,x)). [para(333(a,1),875(a,2,2)),flip(a)]. given #1144 (H,wt=20): 1266 (((x * (1 / y)) / x) * y) * x = T(x,R(1 / y,y,x)). [hyper(58,a,765,a(flip),b,876,a)]. given #1145 (H,wt=20): 1267 (x * ((y * (x \ 1)) / y)) * y = T(y,R(1 / x,x,y)). [para(745(a,1),1266(a,1,1))]. given #1146 (H,wt=20): 1268 T(x,R(1 / y,y,x)) = (x \ T(x,x / (x * y))) * x. [para(1118(a,2),1267(a,1,1)),flip(a)]. given #1147 (H,wt=23): 901 (x * y) * L((x * y) \ x,z,u) = x * (y * L(y \ 1,z,u)). [para(200(a,1),361(a,1,2,1))]. given #1148 (H,wt=23): 903 (x * y) * L(T(x,x * y),z,u) = x * (y * L(T(x,y),z,u)). [para(596(a,1),361(a,1,2,1))]. given #1149 (H,wt=19): 1269 x * (y * L(T(x,y),z,u)) = L(x,z,u) * (x * y). [hyper(343,a,903,a),flip(a)]. given #1150 (H,wt=17): 1270 L(x,y,z) * (x * u) = x * (L(x,y,z) * u). [para(213(a,1),1269(a,1,2)),flip(a)]. given #1151 (H,wt=17): 1271 x \ (L(x,y,z) * u) = L(x,y,z) * (x \ u). [hyper(518,a,1270,a)]. given #1152 (H,wt=17): 1272 x * (L(x,y,z) * (x \ u)) = L(x,y,z) * u. [hyper(288,a,1270,a),flip(a)]. given #1153 (H,wt=17): 1273 L(x,y,z) \ (x * (L(x,y,z) * u)) = x * u. [hyper(117,a,1270,a)]. given #1154 (H,wt=17): 1274 L(x,y,z) \ (x * u) = x * (L(x,y,z) \ u). [hyper(112,a,137,a(flip),b,1270,a)]. given #1155 (H,wt=17): 1275 x * (L(x,y,z) \ (x \ u)) = L(x,y,z) \ u. [hyper(112,a,68,a(flip),b,1270,a),flip(a)]. given #1156 (H,wt=17): 1283 L(x,y,z) \ (x \ u) = x \ (L(x,y,z) \ u). [hyper(117,a,1275,a),flip(a)]. given #1157 (H,wt=19): 1278 x \ (L(x,y,z) * (u * x)) = L(x,y,z) * T(u,x). [para(17(a,2),1271(a,2,2))]. given #1158 (H,wt=20): 1277 L(x,y,z) * (x * u) != x * w | L(x,y,z) * u = w. [para(1270(a,2),38(a,1))]. given #1159 (H,wt=20): 1279 x \ (L(x,y,z) * u) != w | L(x,y,z) * (x \ u) = w. [para(1272(a,1),287(a,1,2))]. given #1160 (H,wt=20): 1280 L(x,y,z) * (x * u) != w | x * (L(x,y,z) * u) = w. [para(1273(a,1),230(a,1,2))]. given #1161 (H,wt=20): 1284 x * (L(x,y,z) \ (x \ u)) != w | L(x,y,z) \ u = w. [para(1283(a,2),230(a,1,2))]. given #1162 (H,wt=20): 1285 x * (L(x,y,z) \ u) != w | L(x,y,z) \ (x * u) = w. [para(4(a,1),1284(a,1,2,2))]. given #1163 (H,wt=23): 904 (x * y) * z != x * (y * R(u,w,v5)) | R(L(u,y,x),w,v5) = z. [para(362(a,1),38(a,1)),flip(a)]. given #1164 (H,wt=23): 917 x * ((x \ y) * T((x \ y) \ z,u)) = y * T(y \ (x * z),u). [para(437(a,1),589(a,1,2,1)),flip(a)]. given #1165 (H,wt=21): 1286 (x \ y) * T((x \ y) \ z,y) = x \ ((y \ (x * z)) * y). [hyper(112,a,98,a(flip),b,917,a),flip(a)]. given #1166 (H,wt=23): 919 x \ (y * T(y \ (x * z),u)) = (x \ y) * T((x \ y) \ z,u). [para(624(a,1),426(a,1,2,2))]. given #1167 (H,wt=23): 920 (T(x / (y / z),u) * (y / z)) * z = T((x * z) / y,u) * y. [para(630(a,1),448(a,1,1)),flip(a)]. given #1168 (H,wt=23): 957 T(x,y) != 1 / (1 / T(z,y)) | L(z,T(z,y) \ 1,T(z,y)) = x. [para(947(a,1),131(a,2))]. given #1169 (H,wt=23): 977 L(1 / x,y,z) * (1 / (1 / x)) = L(x \ 1,y,z) / (1 / x). [para(966(a,1),804(a,1,1,1)),flip(a)]. given #1170 (H,wt=23): 978 ((x \ 1) \ 1) * R(x \ 1,y,z) = (x \ 1) \ R(1 / x,y,z). [para(956(a,1),475(a,1,2,1)),flip(a)]. given #1171 (H,wt=23): 1002 T(T(x,y),x * (T(x,y) \ z)) = (x * (T(x,y) \ z)) \ (x * z). [hyper(359,a,137,a(flip),b,1000,a)]. given #1172 (H,wt=23): 1022 T(x,y) * ((T(x,y) \ 1) * x) = x * K(x \ (x / T(x,y)),x). [para(886(a,2),1009(a,1,2)),flip(a)]. given #1173 (H,wt=22): 1289 L(x,T(x,y) \ 1,T(x,y)) = x * K(x \ (x / T(x,y)),x). [hyper(431,a,1022,a)]. given #1174 (H,wt=23): 1042 (x \ y) * K(z \ (z / ((x \ y) \ (x \ 1))),z) = x \ T(y,z). [hyper(58,a,883,a(flip),b,1039,a),flip(a)]. given #1175 (H,wt=23): 1045 K(x \ (x / T(y,z)),x) = z \ ((y * z) * T((y * z) \ z,x)). [para(17(a,2),1041(a,1,1,2,2))]. given #1176 (H,wt=23): 1099 L((x \ y) / y,z,u) * y = (L(1 / x,z,u) * x) * (x \ y). [para(334(a,1),627(a,1,1,1))]. given #1177 (H,wt=23): 1111 ((x * (y / (1 / z))) / x) * (1 / z) = ((x * (y * z)) / x) / z. [hyper(113,a,766,a(flip),b,237,a),flip(a)]. given #1178 (H,wt=21): 1292 ((x * (1 / (1 / y))) / x) * (1 / y) = ((x * y) / x) / y. [para(2(a,1),1111(a,2,1,1,2))]. given #1179 (H,wt=21): 1293 (1 / x) * ((y * ((1 / x) \ 1)) / y) = ((y * x) / y) / x. [hyper(878,a,1292,a)]. given #1180 (H,wt=17): 1294 (1 / x) * ((y * x) / y) = ((y * x) / y) / x. [para(74(a,1),1293(a,1,2,1,2))]. given #1181 (H,wt=21): 1295 ((x * (y \ 1)) / x) / (y \ 1) = y * ((x * (y \ 1)) / x). [hyper(296,a,1294,a),flip(a)]. given #1182 (H,wt=23): 1200 (x * y) \ (x * L(y,z,u)) != w | L(a(y \ 1,u,z),y,x) = w. [para(1183(a,2),430(a,1,2,2))]. given #1183 (H,wt=23): 1208 (1 / x) \ (L(1 / x,y,z) * (u / x)) = (a(x,z,y) * u) / x. [para(1180(a,2),665(a,1,1,1)),flip(a)]. given #1184 (H,wt=23): 1213 (x * y) * R((x * y) \ y,z,u) = (R(1 / x,z,u) * x) * y. [hyper(744,a,783,a)]. given #1185 (H,wt=23): 1227 x \ T(x * T((x * y) / x,z),x) = T(x * T(y,z),x) / x. [para(390(a,1),1221(a,1,1,1)),flip(a)]. given #1186 (H,wt=23): 1233 (x * y) * T((x * y) \ (z * y),u) = (T(z / x,u) * x) * y. [hyper(580,a,790,a)]. given #1187 (H,wt=23): 1259 (x * (y \ (y * z))) * ((y * z) / y) = (x * ((y * z) / y)) * z. [para(205(a,1),1241(a,1,2)),flip(a)]. given #1188 (H,wt=19): 1299 (x * ((y * z) / y)) * z = (x * z) * ((y * z) / y). [para(4(a,1),1259(a,1,1,2)),flip(a)]. given #1189 (H,wt=9): 1300 T(x,(y * x) / y) = x. [hyper(29,a,1159,a,b,1299,a)]. given #1190 (H,wt=11): 1303 T(x,y * T(y \ x,x)) = x. [para(1250(a,1),1300(a,1,2))]. given #1191 (H,wt=13): 1304 T(x,x * (y * T(y \ 1,x))) = x. [para(611(a,1),1303(a,1,2))]. given #1192 (H,wt=15): 1305 T(x,x * (y \ (z * T(z \ y,x)))) = x. [para(1036(a,1),1304(a,1,2,2))]. given #1193 (H,wt=19): 1306 T(x,x * (T(x,y) \ ((y \ x) * ((y \ x) \ x)))) = x. [para(851(a,1),1305(a,1,2,2,2,2))]. given #1194 (H,wt=11): 1307 T(x,x * (T(x,y) \ x)) = x. [para(5(a,1),1306(a,1,2,2,2))]. given #1195 (H,wt=15): 1308 T(T(x,y),x * (T(x,z) \ x)) = T(x,y). [para(1307(a,1),18(a,1,1)),flip(a)]. given #1196 (H,wt=15): 1309 (x * (T(x,y) \ x)) \ (x * x) = T(x,y). [hyper(58,a,1002,a(flip),b,1308,a)]. given #1197 (H,wt=15): 1310 (x * x) / T(x,y) = x * (T(x,y) \ x). [hyper(178,a,1309,a)]. given #1198 (H,wt=13): 1311 T(x / T(x,y),x) = T(x,y) \ x. [hyper(1245,a,1310,a)]. given #1199 (H,wt=21): 1302 ((x / y) * y) * ((x * y) / x) = T(x,x / (x / y)) * y. [para(846(a,1),1299(a,1,1)),flip(a)]. given #1200 (H,wt=17): 1314 T(x,x / (x / y)) * y = x * ((x * y) / x). [hyper(278,a,1302,a),flip(a)]. given #1201 (H,wt=17): 1315 T(x,x / (x / y)) * (x \ y) = (x * y) / x. [hyper(1014,a,1314,a)]. given #1202 (H,wt=17): 1318 ((x * y) / x) / (x \ y) = T(x,x / (x / y)). [hyper(122,a,1315,a)]. given #1203 (H,wt=20): 1317 x * ((x * y) / x) != z * y | T(x,x / (x / y)) = z. [para(1314(a,1),39(a,1))]. given #1204 (H,wt=21): 1313 T(x,y) * T(T(x,y) \ x,x) = (T(x,y) \ x) * T(x,y). [para(1311(a,1),389(a,1,1)),flip(a)]. given #1205 (H,wt=23): 1287 (x \ y) * T((x \ y) \ (x \ z),u) = x \ (y * T(y \ z,u)). [para(5(a,1),919(a,1,2,2,1,2)),flip(a)]. given #1206 (H,wt=23): 1288 (x * T(x \ (y * z),u)) / z = T(y / (x / z),u) * (x / z). [hyper(113,a,389,a(flip),b,920,a)]. given #1207 (H,wt=23): 1291 (L(1 / x,y,z) * x) * (x \ u) = u * L(u \ (x \ u),y,z). [hyper(741,a,1099,a),flip(a)]. given #1208 (H,wt=23): 1296 L(1 / x,y,z) * ((1 / x) \ (u / x)) = (a(x,z,y) * u) / x. [hyper(1279,a,1208,a)]. given #1209 (H,wt=23): 1297 (x * y) * R((x * y) \ y,z,u) = (x * R(x \ 1,z,u)) * y. [para(554(a,1),1213(a,2,1))]. given #1210 (H,wt=23): 1298 (x * y) * T((x * y) \ (z * y),u) = (x * T(x \ z,u)) * y. [para(389(a,1),1233(a,2,1))]. given #1211 (H,wt=21): 1324 (x * y) * T((x * y) \ y,z) = (x * T(x \ 1,z)) * y. [para(2(a,1),1298(a,1,2,1,2))]. given #1212 (H,wt=21): 1325 x * (y * T(y \ (x \ y),z)) = (x * T(x \ 1,z)) * y. [hyper(58,a,785,a(flip),b,1324,a)]. given #1213 (H,wt=19): 1327 (x * T(x \ 1,y)) * y = x * ((y \ (x \ y)) * y). [para(98(a,1),1325(a,1,2)),flip(a)]. given #1214 (H,wt=21): 1326 K(x \ (x / T(y,z)),x) = z \ ((y * T(y \ 1,x)) * z). [para(1324(a,1),1045(a,2,2))]. given #1215 (H,wt=19): 1329 T(x * T(x \ 1,y),z) = K(y \ (y / T(x,z)),y). [hyper(272,a,17,a,b,1326,a)]. given #1216 (H,wt=17): 1332 K(x \ (x / T(x,y)),x) = T(K(x \ 1,x),y). [para(307(a,1),1329(a,1,1)),flip(a)]. given #1217 (H,wt=21): 1328 x * T(y * T(y \ 1,x),x) = y * ((x \ (y \ x)) * x). [hyper(249,a,1327,a)]. given #1218 (H,wt=21): 1330 T(x,y) * T(T(x,y) \ 1,z) = T(x * T(x \ 1,z),y). [hyper(272,a,886,a(flip),b,1329,a)]. given #1219 (H,wt=21): 1331 T(x,y) \ T(x * T(x \ 1,z),y) = T(T(x,y) \ 1,z). [hyper(112,a,1329,a,b,886,a(flip))]. given #1220 (H,wt=21): 1334 T(x * T(x \ 1,T(x,y)),y) = (T(x,y) \ 1) * T(x,y). [hyper(248,a,1330,a),flip(a)]. given #1221 (H,wt=22): 1333 x * ((y \ (x \ y)) * y) != z | (x * T(x \ 1,y)) * y = z. [para(1328(a,1),248(a,1))]. given #1222 (H,wt=23): 1320 (x * T(x \ (y * z),u)) / z = (x / z) * T((x / z) \ y,u). [hyper(272,a,389,a(flip),b,1288,a),flip(a)]. given #1223 (H,wt=19): 1337 (x / y) * T((x / y) \ x,z) = (x * T(y,z)) / y. [para(4(a,1),1320(a,1,1,2,1)),flip(a)]. given #1224 (H,wt=19): 1339 ((x / y) * T((x / y) \ x,z)) * y = x * T(y,z). [hyper(125,a,1337,a(flip))]. given #1225 (H,wt=21): 1338 (x / y) * T((x / y) \ z,x) = ((x \ (z * y)) * x) / y. [para(98(a,1),1320(a,1,1)),flip(a)]. given #1226 (H,wt=22): 1340 (x * T(y,z)) / y != u | (x / y) * T((x / y) \ x,z) = u. [para(1339(a,1),279(a,1,1))]. given #1227 (H,wt=23): 1321 (x * L(x \ 1,y,z)) * (x \ u) = u * L(u \ (x \ u),y,z). [para(550(a,1),1291(a,1,1))]. given #1228 (H,wt=22): 1341 x * L(x \ (y \ x),y,y \ 1) = (y * (1 / y)) * (y \ x). [para(940(a,1),1321(a,1,1,2)),flip(a)]. given #1229 (H,wt=23): 1323 x * (y * T(y \ (x \ (z * y)),u)) = (x * T(x \ z,u)) * y. [hyper(58,a,785,a(flip),b,1298,a)]. given #1230 (H,wt=23): 1336 T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ T(x * (x \ 1),y). [para(714(a,1),1331(a,1,2,1,2)),flip(a)]. given #1231 (H,wt=19): 1343 T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ T(1,y). [para(5(a,1),1336(a,2,2,1))]. given #1232 (H,wt=17): 1345 T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ 1. [para(179(a,1),1343(a,2,2))]. given #1233 (H,wt=23): 1342 (x * T(x \ (y / z),u)) * z = x * (z * T(z \ (x \ y),u)). [para(7(a,1),1323(a,1,2,2,1,2,2)),flip(a)]. given #1234 (H,wt=23): 1349 ((x / y) * K(y \ 1,y)) * y = x * (y * T(y \ (x \ x),y)). [para(885(a,2),1342(a,1,1))]. given #1235 (H,wt=21): 1350 ((x / y) * K(y \ 1,y)) * y = x * (y * T(y \ 1,y)). [para(61(a,1),1349(a,2,2,2,1,2))]. given #1236 (H,wt=19): 1352 ((x / y) * K(y \ 1,y)) * y = x * ((y \ 1) * y). [para(98(a,1),1350(a,2,2))]. given #1237 (H,wt=20): 1353 (R(x,y \ 1,y) / y) * K(y \ 1,y) = x * (y \ 1). [hyper(30,a,93,a(flip),b,1352,a),flip(a)]. given #1238 (H,wt=23): 1354 x * K(y \ 1,y) != z * (y \ 1) | R(z,y \ 1,y) / y = x. [para(1353(a,1),39(a,1)),flip(a)]. given #1239 (H,wt=24): 443 (x * K(y,1 / y)) \ (x * (1 / y)) = L(y \ 1,K(y,1 / y),x). [para(419(a,1),89(a,1,1)),flip(a)]. given #1240 (H,wt=24): 469 R(x,K(y \ x,y),z) \ (((y \ x) * y) * z) = K(y \ x,y) * z. [para(259(a,1),166(a,1,2,1))]. given #1241 (H,wt=24): 470 R(x * y,L(z,y,x),u) \ ((x * (y * z)) * u) = L(z,y,x) * u. [para(87(a,1),166(a,1,2,1))]. given #1242 (H,wt=24): 560 T(L(R(x / y,y,z),u,w),y * z) = L((y * z) \ (x * z),u,w). [para(94(a,2),223(a,1,1,1))]. given #1243 (H,wt=24): 719 (x \ y) / (y / x) != (x \ y) * z | T(1 / (y / x),x \ y) = z. [para(370(a,1),216(a,2)),flip(a)]. given #1244 (H,wt=24): 751 (x \ (y * (z * x))) / x != u * w | u \ (((1 / x) * y) * z) = w. [para(664(a,1),492(a,1,1))]. given #1245 (H,wt=24): 762 L((x * ((y \ z) \ u)) / x,y \ z,y) = (x * (z \ (y * u))) / x. [para(437(a,1),738(a,2,1,2))]. given #1246 (H,wt=24): 779 (x * y) * L(L(z,T(x,y),y),u,w) = y * (T(x,y) * L(z,u,w)). [hyper(114,a,25,a,b,210,a)]. given #1247 (H,wt=24): 979 R(x \ 1,x,y) * (x * (1 / x)) = ((y / (x * y)) * x) * (1 / x). [para(974(a,1),93(a,1,1))]. given #1248 (H,wt=24): 983 (x \ 1) * y != (x \ z) * (u * (x \ 1)) | (z * u) * (x \ 1) = y. [para(171(a,1),38(a,1)),flip(a)]. given #1249 (H,wt=24): 989 ((x \ (y / z)) * x) * z != u | (x * z) * T((x * z) \ y,x) = u. [para(644(a,1),580(a,1))]. given #1250 (H,wt=24): 1034 L((x \ y) \ 1,x \ y,x) * (x \ y) = (1 / (x \ y)) \ (y \ x). [para(327(a,1),1033(a,1,2)),flip(a)]. given #1251 (H,wt=17): 1358 (1 / (x \ y)) \ (y \ x) = (y \ x) * (x \ y). [para(327(a,1),1034(a,1,1)),flip(a)]. given #1252 (H,wt=17): 1359 (1 / (x \ y)) * ((y \ x) * (x \ y)) = y \ x. [hyper(127,a,1358,a)]. given #1253 (H,wt=24): 1121 x * L(x \ y,y \ x,x \ y) = y * ((y \ x) * (1 / (y \ x))). [hyper(114,a,1120,a,b,88,a)]. given #1254 (H,wt=24): 1147 (x / y) \ ((x * z) / (x / y)) != u | y * (z * ((x / y) \ 1)) = u. [para(1136(a,1),533(a,1))]. given #1255 (H,wt=24): 1175 (x * (y / z)) / (1 / z) != (1 / z) * u | ((1 / z) \ x) * y = u. [para(1169(a,1),38(a,1))]. given #1256 (H,wt=24): 1281 L(x,y,z) * (x * u) != w * v5 | w \ (x * (L(x,y,z) * u)) = v5. [para(1273(a,1),341(a,1,2))]. given #1257 (H,wt=24): 1282 T((x * y) / x,L(y,z,u) * x) = L((y * x) / x,x,L(y,z,u)). [para(1273(a,1),1117(a,1,1,1)),flip(a)]. given #1258 (H,wt=20): 1362 T((x * y) / x,L(y,z,u) * x) = L(y,x,L(y,z,u)). [para(6(a,1),1282(a,2,1))]. given #1259 (H,wt=24): 1335 T(x * T(x \ 1,T(x,y)),y) != z * T(x,y) | T(x,y) \ 1 = z. [para(1330(a,1),217(a,1))]. given #1260 (H,wt=24): 1355 T(R(L(x / y,z,u),y,w),y * w) = L((y * w) \ (x * w),z,u). [para(24(a,2),560(a,1,1))]. given #1261 (H,wt=24): 1361 x * L(x \ y,y \ x,x \ y) = y * K(y \ x,(y \ x) \ 1). [para(1050(a,2),1121(a,2,2))]. given #1262 (H,wt=25): 402 T(x,x \ 1) * (y * T(x,x \ 1)) = ((x \ 1) \ y) * T(x,x \ 1). [para(239(a,1),366(a,1,1,1)),flip(a)]. given #1263 (H,wt=25): 763 (x * y) * ((z * L(u,y,x)) / z) != w | x * (y * ((z * u) / z)) = w. [para(738(a,1),251(a,1,2))]. given #1264 (H,wt=25): 767 ((x * R(y,z,u)) / x) * (z * u) != w | (((x * y) / x) * z) * u = w. [para(740(a,1),247(a,1,1))]. given #1265 (H,wt=25): 792 (x * y) * T(z,y) != (z * y) * u | T(R(x,y,T(z,y)),z * y) = u. [para(455(a,1),216(a,2)),flip(a)]. given #1266 (H,wt=25): 874 T(T(R(x,y,y \ 1),x * y) / (y \ 1),R(x,y,y \ 1)) = x * y. [para(357(a,1),871(a,1,1,2))]. given #1267 (H,wt=18): 1367 T(T(x,x * y) * y,R(x,y,y \ 1)) = x * y. [para(479(a,1),874(a,1,1))]. given #1268 (H,wt=22): 1368 T(T(T(x,x * y) * y,z),R(x,y,y \ 1)) = T(x * y,z). [para(1367(a,1),18(a,1,1)),flip(a)]. given #1269 (H,wt=18): 1369 T(x * y,R(x,y,y \ 1)) = T(x * y,T(x,y)). [para(894(a,1),1368(a,1,1))]. given #1270 (H,wt=22): 1370 T((x / y) * y,T(x / y,y)) = T(x,R(x / y,y,y \ 1)). [para(7(a,1),1369(a,1,1)),flip(a)]. given #1271 (H,wt=19): 1371 T((x / y) * y,T(x / y,y)) = T(x,x * (y \ 1)). [para(460(a,1),1370(a,2,2))]. given #1272 (H,wt=15): 1372 T(x,T(x / y,y)) = T(x,x * (y \ 1)). [para(7(a,1),1371(a,1,1))]. given #1273 (H,wt=13): 1373 T(x,x * (y \ 1)) = T(x,y \ x). [para(100(a,1),1372(a,1,2)),flip(a)]. given #1274 (H,wt=13): 1374 T(x,(1 / y) \ x) = T(x,x * y). [para(74(a,1),1373(a,1,2,2)),flip(a)]. given #1275 (H,wt=25): 877 ((x * R(y,y \ 1,x)) / x) * ((y \ 1) * x) = T(x,R(y,y \ 1,x)). [para(351(a,1),875(a,2,2)),flip(a)]. given #1276 (H,wt=20): 1375 (((x * y) / x) * (y \ 1)) * x = T(x,R(y,y \ 1,x)). [hyper(767,a,877,a)]. given #1277 (H,wt=18): 1376 (x \ ((y * x) / y)) * y = T(y,R(x,x \ 1,y)). [para(997(a,1),1375(a,1,1))]. given #1278 (H,wt=20): 1377 T(x,R(T(y,x),T(y,x) \ 1,x)) = (T(y,x) \ y) * x. [para(206(a,1),1376(a,1,1,2)),flip(a)]. given #1279 (H,wt=21): 1378 T(x,R(y,y \ 1,x)) / x != z | y \ ((x * y) / x) = z. [para(1376(a,1),279(a,1,1))]. given #1280 (H,wt=25): 884 x \ ((x / (1 / y)) * K(y,1 / y)) = T(x \ (x / (1 / y)),1 / y). [para(309(a,1),816(a,1,2,2))]. given #1281 (H,wt=25): 898 (L(x \ 1,y,z) * x) / L(x \ 1,y,z) = L(x,L(x \ 1,y,z),x). [para(895(a,1),603(a,1,1,2))]. given #1282 (H,wt=25): 902 (x * y) * L((x * y) \ z,u,w) = x * (y * L(y \ (x \ z),u,w)). [para(254(a,1),361(a,1,2,1))]. given #1283 (H,wt=25): 905 (x * y) * R((x * y) \ z,u,w) = x * (y * R(y \ (x \ z),u,w)). [para(254(a,1),362(a,1,2,1))]. given #1284 (H,wt=25): 907 L((x * y) / (z * y),u,w) * (z * y) = (L(x / z,u,w) * z) * y. [para(94(a,1),451(a,1,1,1))]. given #1285 (H,wt=21): 1379 (L((x * y) / x,z,u) * x) * y = (x * y) * L(y,z,u). [hyper(760,a,907,a),flip(a)]. given #1286 (H,wt=17): 1380 (x * L(y,z,u)) * y = (x * y) * L(y,z,u). [para(551(a,1),1379(a,1,1))]. given #1287 (H,wt=17): 1381 (x * y) / L(y,z,u) = (x / L(y,z,u)) * y. [hyper(531,a,1380,a)]. given #1288 (H,wt=17): 1382 ((x / y) * L(y,z,u)) * y = x * L(y,z,u). [hyper(272,a,135,a(flip),b,1380,a),flip(a)]. given #1289 (H,wt=17): 1383 (x * L(y,z,u)) \ ((x * y) * L(y,z,u)) = y. [hyper(117,a,1380,a)]. given #1290 (H,wt=17): 1384 (x * L(y,z,u)) / y = (x / y) * L(y,z,u). [hyper(113,a,135,a(flip),b,1380,a)]. given #1291 (H,wt=18): 1387 T(R(x,y,L(x,z,u)),y * L(x,z,u)) = T(x,y). [para(1383(a,1),650(a,1,1)),flip(a)]. given #1292 (H,wt=19): 1390 (x * L(y,z,u)) * T(y,x) = (y * x) * L(y,z,u). [hyper(114,a,1387,a(flip),b,221,a)]. given #1293 (H,wt=20): 1386 (x * L(y,z,u)) / y != w | (x / y) * L(y,z,u) = w. [para(1382(a,1),279(a,1,1))]. given #1294 (H,wt=20): 1389 (x / y) * L(y,1 / y,y) = (x * (1 / (1 / y))) / y. [para(994(a,1),1384(a,1,1,2)),flip(a)]. given #1295 (H,wt=19): 1392 (x * (1 / (1 / y))) / y = (x / y) * (1 / (1 / y)). [para(994(a,1),1389(a,1,2)),flip(a)]. given #1296 (H,wt=19): 1393 ((x / y) * (1 / (1 / y))) \ (x * (1 / (1 / y))) = y. [hyper(172,a,1392,a)]. given #1297 (H,wt=21): 1391 T(x,y * L(z,u,w)) != T(z,y) | R(z,y,L(z,u,w)) = x. [para(1387(a,1),44(a,1)),flip(a)]. given #1298 (H,wt=25): 908 (L((x / y) / z,u,w) * z) * y = L(x / (z * y),u,w) * (z * y). [para(258(a,1),451(a,1,1,1)),flip(a)]. given #1299 (H,wt=25): 909 (R(x,(y * z) / u,u) * y) * z = (R(x,y,z) * ((y * z) / u)) * u. [hyper(593,a,452,a),flip(a)]. given #1300 (H,wt=25): 910 R((x * y) / (z * y),u,w) * (z * y) = (R(x / z,u,w) * z) * y. [para(94(a,1),452(a,1,1,1))]. given #1301 (H,wt=25): 922 ((x * (y / (z * y))) / x) * (z * y) = (((x * (1 / z)) / x) * z) * y. [para(764(a,1),93(a,1,1))]. given #1302 (H,wt=25): 960 R(1 / x,y,z) * ((x \ 1) \ 1) = ((x \ 1) \ 1) * R(x \ 1,y,z). [para(949(a,1),214(a,1,2,1)),flip(a)]. given #1303 (H,wt=25): 976 L(1 / x,y,z) * (1 / (1 / x)) = (1 / (1 / x)) * L(x \ 1,y,z). [para(966(a,1),213(a,1,2,1)),flip(a)]. given #1304 (H,wt=23): 1398 (1 / (1 / x)) * L(x \ 1,y,z) = L(x \ 1,y,z) / (1 / x). [hyper(58,a,977,a(flip),b,976,a),flip(a)]. given #1305 (H,wt=25): 1027 L(x,T(x,y) \ x,T(x,y)) != z | T(x,y) * T(T(x,y) \ x,x) = z. [para(88(a,1),1021(a,1))]. given #1306 (H,wt=25): 1086 (x / y) * (y * L(y \ z,u,w)) = x * L(x \ ((x / y) * z),u,w). [para(438(a,1),591(a,1,2,1)),flip(a)]. given #1307 (H,wt=25): 1098 x \ (y * R(y \ (x * z),u,w)) = (x \ y) * R((x \ y) \ z,u,w). [para(625(a,1),426(a,1,2,2))]. given #1308 (H,wt=23): 1401 (x \ y) * R((x \ y) \ 1,z,u) = x \ (y * R(y \ x,z,u)). [para(3(a,1),1098(a,1,2,2,1,2)),flip(a)]. given #1309 (H,wt=25): 1105 L(((x * y) * z) / (x * y),y,x) != u / (x * y) | x * (y * z) = u. [para(739(a,2),41(a,1))]. given #1310 (H,wt=25): 1107 (x * y) * ((z * ((x * y) \ x)) / z) = x * (y * ((z * (y \ 1)) / z)). [para(200(a,1),759(a,1,2,1,2))]. given #1311 (H,wt=25): 1109 (x / y) * (y * ((z * (y \ 1)) / z)) = x * ((z * (x \ (x / y))) / z). [hyper(114,a,761,a(flip),b,90,a),flip(a)]. given #1312 (H,wt=25): 1211 T((x * (y * z)) \ ((x * y) * z),x) = (x * (y * z)) \ ((x * y) * z). [para(9(a,1),1192(a,2,1)),flip(a)]. given #1313 (H,wt=25): 1229 ((x \ (y / (1 / z))) * x) * (1 / z) = x * (T((x \ y) * z,x) / z). [para(578(a,1),1215(a,1,2)),flip(a)]. given #1314 (H,wt=25): 1230 ((x \ (y / (z \ 1))) * x) * (z \ 1) = x * (z \ T(z * (x \ y),x)). [para(805(a,1),1215(a,1,2)),flip(a)]. given #1315 (H,wt=25): 1290 x * (T(y,x) * T(T(y,x) \ 1,z)) = (y * x) * T((y * x) \ x,z). [hyper(114,a,886,a(flip),b,1045,a(flip))]. given #1316 (H,wt=25): 1360 T(1 / (x \ y),(y \ x) * (x \ y)) = ((y \ x) * (x \ y)) \ (y \ x). [hyper(359,a,xx,b,1359,a)]. given #1317 (H,wt=25): 1363 (x * y) * L((x * y) \ (z * y),u,w) = (L(z / x,u,w) * x) * y. [hyper(114,a,1355,a(flip),b,221,a)]. given #1318 (H,wt=25): 1388 (x * T(x \ (x * y),z)) * L(y,u,w) = (x * L(y,u,w)) * T(y,z). [para(1383(a,1),1298(a,1,2,1)),flip(a)]. given #1319 (H,wt=21): 1406 (x * T(y,z)) * L(y,u,w) = (x * L(y,u,w)) * T(y,z). [para(4(a,1),1388(a,1,1,2,1))]. given #1320 (H,wt=25): 1394 (L((x / y) / z,u,w) * z) * y = (z * y) * L((z * y) \ x,u,w). [hyper(272,a,550,a(flip),b,908,a),flip(a)]. given #1321 (H,wt=25): 1395 (x * y) * R((x * y) \ (z * y),u,w) = (R(z / x,u,w) * x) * y. [hyper(744,a,910,a)]. given #1322 (H,wt=25): 1396 (x * y) * ((z * ((x * y) \ y)) / z) = (((z * (1 / x)) / z) * x) * y. [hyper(878,a,922,a)]. given #1323 (H,wt=25): 1397 R(1 / x,y,z) * T(x,x \ 1) = ((x \ 1) \ 1) * R(x \ 1,y,z). [hyper(541,a,960,a)]. given #1324 (H,wt=23): 1410 R(1 / x,y,z) * T(x,x \ 1) = (x \ 1) \ R(1 / x,y,z). [hyper(272,a,978,a(flip),b,1397,a),flip(a)]. given #1325 (H,wt=25): 1400 (x / y) * (y * L(y \ ((x / y) \ z),u,w)) = x * L(x \ z,u,w). [para(5(a,1),1086(a,2,2,1,2))]. given #1326 (H,wt=25): 1403 (x / y) \ (x * ((z * (x \ (x / y))) / z)) = y * ((z * (y \ 1)) / z). [hyper(117,a,1109,a)]. given #1327 (H,wt=21): 1412 (x / y) \ (x * ((x / y) / x)) = y * ((x * (y \ 1)) / x). [para(5(a,1),1403(a,1,2,2,1))]. given #1328 (H,wt=17): 1413 K(x,(x / y) / x) = y * ((x * (y \ 1)) / x). [hyper(400,a,1412,a)]. given #1329 (H,wt=17): 1414 K(x,(x / (y \ 1)) / x) = y \ ((x * y) / x). [hyper(272,a,1071,a(flip),b,1413,a),flip(a)]. given #1330 (H,wt=19): 1415 (x \ y) * ((y * ((x \ y) \ 1)) / y) = K(y,x / y). [para(72(a,1),1413(a,1,2,1)),flip(a)]. given #1331 (H,wt=21): 1416 x * ((T(x,y) * (x \ 1)) / T(x,y)) = K(T(x,y),1 / x). [para(404(a,1),1413(a,1,2)),flip(a)]. given #1332 (H,wt=25): 1405 (x * y) * L((x * y) \ (z * y),u,w) = (x * L(x \ z,u,w)) * y. [para(550(a,1),1363(a,2,1))]. given #1333 (H,wt=23): 1419 x * L(x \ (x \ (y * x)),z,u) = T(x * L(x \ y,z,u),x). [hyper(215,a,1405,a(flip),b,902,a(flip)),flip(a)]. given #1334 (H,wt=21): 1422 T(x * L(x \ y,z,u),x) = x * L(x \ T(y,x),z,u). [para(17(a,2),1419(a,1,2,1,2)),flip(a)]. given #1335 (H,wt=21): 1423 x \ T(x * L(x \ y,z,u),x) = L(x \ T(y,x),z,u). [hyper(112,a,1422,a,b,xx)]. given #1336 (H,wt=23): 1420 (x * y) * L((x * y) \ y,z,u) = (x * L(x \ 1,z,u)) * y. [para(2(a,1),1405(a,1,2,1,2))]. given #1337 (H,wt=23): 1425 x * (y * L(y \ (x \ y),z,u)) = (x * L(x \ 1,z,u)) * y. [hyper(58,a,902,a(flip),b,1420,a)]. given #1338 (H,wt=22): 1426 x * (y * L(y \ (x \ y),x,x \ 1)) = (x * (1 / x)) * y. [para(940(a,1),1425(a,2,1,2))]. given #1339 (H,wt=19): 1427 x * ((x * (1 / x)) * (x \ y)) = (x * (1 / x)) * y. [para(1341(a,1),1426(a,1,2))]. given #1340 (H,wt=19): 1428 x * (K(x,x \ 1) * (x \ y)) = (x * (1 / x)) * y. [para(1050(a,2),1427(a,1,2,1))]. given #1341 (H,wt=19): 1429 x * (K(x,x \ 1) * (x \ y)) = K(x,x \ 1) * y. [para(1050(a,2),1428(a,2,1))]. given #1342 (H,wt=19): 1430 K(x,x \ 1) * (x * y) = x * (K(x,x \ 1) * y). [para(4(a,1),1429(a,1,2,2)),flip(a)]. given #1343 (H,wt=22): 1432 K(x,x \ 1) * y != x * (K(x,x \ 1) * z) | x * z = y. [para(1430(a,1),38(a,1)),flip(a)]. given #1344 (H,wt=25): 1407 (x * L(x \ (y / z),u,w)) * z = (x * z) * L((x * z) \ y,u,w). [para(550(a,1),1394(a,1,1))]. given #1345 (H,wt=25): 1408 (x * y) * R((x * y) \ (z * y),u,w) = (x * R(x \ z,u,w)) * y. [para(554(a,1),1395(a,2,1))]. given #1346 (H,wt=21): 1436 (x * R(x \ (x * y),z,u)) * y = (x * y) * R(y,z,u). [para(4(a,1),1408(a,1,2,1)),flip(a)]. given #1347 (H,wt=17): 1439 (x * R(y,z,u)) * y = (x * y) * R(y,z,u). [para(4(a,1),1436(a,1,1,2,1))]. given #1348 (H,wt=17): 1440 (x * R(y,z,u)) \ ((x * y) * R(y,z,u)) = y. [hyper(117,a,1439,a)]. given #1349 (H,wt=18): 1441 T(R(x,y,R(x,z,u)),y * R(x,z,u)) = T(x,y). [para(1440(a,1),650(a,1,1)),flip(a)]. given #1350 (H,wt=19): 1442 (x * R(y,z,u)) * T(y,x) = (y * x) * R(y,z,u). [hyper(114,a,1441,a(flip),b,221,a)]. given #1351 (H,wt=23): 1435 x * R(x \ (x \ (y * x)),z,u) = T(x * R(x \ y,z,u),x). [hyper(215,a,1408,a(flip),b,905,a(flip)),flip(a)]. given #1352 (H,wt=21): 1443 T(x * R(x \ y,z,u),x) = x * R(x \ T(y,x),z,u). [para(17(a,2),1435(a,1,2,1,2)),flip(a)]. given #1353 (H,wt=21): 1444 T(x * R(x \ y,z,u),x) / x = R(T(y,x) / x,z,u). [hyper(113,a,1443,a,b,554,a)]. given #1354 (H,wt=21): 1445 x \ T(x * R(x \ y,z,u),x) = R(x \ T(y,x),z,u). [hyper(112,a,1443,a,b,xx)]. given #1355 (H,wt=21): 1446 R(T(x * y,x) / x,z,u) = T(x * R(y,z,u),x) / x. [para(4(a,1),1444(a,1,1,1,2,1)),flip(a)]. given #1356 (H,wt=25): 1409 (x * y) * ((z * ((x * y) \ y)) / z) = (x * ((z * (x \ 1)) / z)) * y. [para(745(a,1),1396(a,2,1))]. given #1357 (H,wt=25): 1433 (x * L(x \ (y / z),u,w)) * z = x * (z * L(z \ (x \ y),u,w)). [hyper(272,a,902,a(flip),b,1407,a),flip(a)]. given #1358 (H,wt=25): 1450 (x / y) * L((x / y) \ (z / y),u,w) = (x * L(x \ z,u,w)) / y. [hyper(113,a,1400,a(flip),b,1433,a),flip(a)]. given #1359 (H,wt=23): 1451 (x * L(x \ (y * x),z,u)) / y = (x / y) * L(T(y,x),z,u). [para(1251(a,2),1450(a,1,2,1)),flip(a)]. given #1360 (H,wt=19): 1452 (x / y) * L(T(y,x),z,u) = (L(y,z,u) * x) / y. [para(549(a,1),1451(a,1,1)),flip(a)]. given #1361 (H,wt=21): 1453 (L(x,y,z) * (u * x)) / x = u * L(T(x,u * x),y,z). [para(6(a,1),1452(a,1,1)),flip(a)]. given #1362 (H,wt=23): 1454 T(x * L(T(y,x * y),z,u),y) = y \ (L(y,z,u) * (x * y)). [para(1453(a,1),100(a,1,1))]. given #1363 (H,wt=21): 1455 T(x * L(T(y,x * y),z,u),y) = L(y,z,u) * T(x,y). [hyper(272,a,1278,a(flip),b,1454,a),flip(a)]. given #1364 (H,wt=26): 444 L(L(x,y,z) \ u,L(x,y,z),z * y) = (z * (y * x)) \ ((z * y) * u). [para(87(a,1),89(a,2,1))]. given #1365 (H,wt=19): 1456 a(x,y,z) = L(L(z,y,x) \ z,L(z,y,x),x * y). [hyper(272,a,9,a,b,444,a)]. given #1366 (H,wt=24): 1457 a(x,y,z) = L(L(z,y,x) \ z,(x * y) \ (x * (y * z)),x * y). [para(13(a,1),1456(a,2,2))]. given #1367 (H,wt=26): 458 R(x,R(y,z,u),z * u) * ((y * z) * u) = (x * R(y,z,u)) * (z * u). [para(93(a,1),93(a,1,2))]. given #1368 (H,wt=26): 733 (x * (y * z)) \ (x * (y * (z * u))) != w | L(L(u,z,y),y * z,x) = w. [para(87(a,1),430(a,1,2,2))]. given #1369 (H,wt=26): 788 (x * y) * T((x * y) \ (x * z),u) != w | x * (y * T(y \ z,u)) = w. [para(439(a,2),251(a,1,2))]. given #1370 (H,wt=26): 808 x \ y != T(z * u,w) / u | x * ((1 / u) * T((1 / u) \ z,w)) = y. [para(381(a,1),544(a,2,1))]. given #1371 (H,wt=26): 861 x \ y != (1 / z) * ((u * (w * z)) / z) | x * (((1 / z) * u) * w) = y. [para(663(a,1),286(a,2,2))]. given #1372 (H,wt=26): 891 K(x \ (x / (1 / (y / (x * y)))),x) = R(x \ 1,x,y) / (y / (x * y)). [para(562(a,1),888(a,2,1))]. given #1373 (H,wt=26): 958 (x \ 1) * L(y,1 / x,K(x \ 1,x)) = K(x \ 1,x) * ((1 / x) * y). [para(945(a,1),87(a,1,1))]. given #1374 (H,wt=26): 959 L((1 / x) \ y,1 / x,K(x \ 1,x)) = (x \ 1) \ (K(x \ 1,x) * y). [para(945(a,1),89(a,2,1))]. given #1375 (H,wt=26): 975 R(x,y \ 1,y * (1 / y)) * (1 / y) = (x * (y \ 1)) * (y * (1 / y)). [hyper(114,a,964,a(flip),b,166,a)]. given #1376 (H,wt=26): 990 (x * y) * T((x * y) \ z,u) != w | x * (y * T(y \ (x \ z),u)) = w. [para(254(a,1),669(a,1,2,1))]. given #1377 (H,wt=26): 1047 x * K(y \ (y / (x \ z)),y) != u * w | u \ (z * T(z \ x,y)) = w. [para(1041(a,2),341(a,1,2))]. given #1378 (H,wt=26): 1089 (R(x,y,z) * (x \ u)) \ (R(x,y,z) * u) = T(x,R(x,y,z) * (x \ u)). [hyper(803,a,1088,a),flip(a)]. given #1379 (H,wt=26): 1125 R(x,y,z * u) != ((w * z) * u) / (y * (z * u)) | R(w,z,u) / y = x. [para(465(a,1),46(a,1)),flip(a)]. given #1380 (H,wt=26): 1126 (x * y) * L((x * y) \ x,z,u) != w | x * (y * L(y \ 1,z,u)) = w. [para(200(a,1),671(a,1,2,1))]. given #1381 (H,wt=26): 1131 x \ y != (z \ ((z * u) * w)) * (z \ 1) | x * (u * (w * (z \ 1))) = y. [para(1128(a,1),505(a,2,1))]. given #1382 (H,wt=26): 1276 ((x * y) * L(x,z,u)) \ (x * (L(x,z,u) * y)) = K(L(x,z,u),x * y). [hyper(112,a,1270,a(flip),b,81,a)]. given #1383 (H,wt=27): 969 ((1 / (1 / x)) * y) / (K(x \ 1,x) * y) != z | R(x,K(x \ 1,x),y) = z. [para(952(a,1),457(a,1,1,1))]. given #1384 (H,wt=27): 970 (x * K(y \ 1,y)) \ (x * (1 / (1 / y))) != z | L(y,K(y \ 1,y),x) = z. [para(953(a,1),430(a,1,2,2))]. given #1385 (H,wt=27): 1044 K((x * (y \ z)) \ x,x * (y \ z)) = y \ (z * T(z \ y,x * (y \ z))). [para(6(a,1),1041(a,1,1,2))]. given #1386 (H,wt=27): 1061 T(x,x \ 1) * y != K(x,x \ 1) * (x * z) | L(z,x,K(x,x \ 1)) = y. [para(1049(a,1),429(a,1,1))]. given #1387 (H,wt=27): 1068 (x * y) * K(1 / y,y) != z * (1 / (1 / y)) | R(x,y,K(1 / y,y)) = z. [para(1067(a,1),453(a,2,2))]. given #1388 (H,wt=27): 1073 (1 / x) \ (((x \ 1) * ((1 / x) * y)) * z) = (((x \ 1) * y) * (z * x)) / x. [para(1072(a,1),663(a,1,2,1))]. given #1389 (H,wt=27): 1079 (x * y) * K(((x * y) \ x) \ 1,(x * y) \ x) = x * T(y,(x * y) \ x). [para(4(a,1),1038(a,1,2,1)),flip(a)]. given #1390 (H,wt=27): 1085 K((x / (y * x)) \ 1,x / (y * x)) * (y * x) = T(y,x / (y * x)) * x. [hyper(272,a,355,a(flip),b,1080,a),flip(a)]. given #1391 (H,wt=27): 1103 R(x / (y * x),(y * x) / x,x / (y * x)) = R(y \ 1,(y * x) / x,x). [para(6(a,1),1102(a,1,1,1)),flip(a)]. given #1392 (H,wt=23): 1460 R(x / (y * x),(y * x) / x,x / (y * x)) = R(y \ 1,y,x). [para(6(a,1),1103(a,2,2))]. given #1393 (H,wt=19): 1461 R(x / (y * x),y,x / (y * x)) = R(y \ 1,y,x). [para(6(a,1),1460(a,1,2))]. given #1394 (H,wt=14): 1462 R(1 / x,x,y / (x * y)) = x \ 1. [hyper(782,a,1461,a)]. given #1395 (H,wt=14): 1463 R(1 / x,x,(x \ y) / y) = x \ 1. [para(5(a,1),1462(a,1,3,2))]. given #1396 (H,wt=17): 1465 (x \ 1) \ ((x \ y) / y) = x * ((x \ y) / y). [para(1463(a,1),333(a,1,1))]. given #1397 (H,wt=26): 1466 (x \ 1) \ ((x \ y) / y) != ((x \ y) / y) * z | T(x,(x \ y) / y) = z. [para(1465(a,2),216(a,2)),flip(a)]. given #1398 (H,wt=27): 1108 (x * y) * ((z * ((x * y) \ u)) / z) = x * (y * ((z * (y \ (x \ u))) / z)). [para(254(a,1),759(a,1,2,1,2))]. given #1399 (H,wt=27): 1110 (((x * ((y / z) / u)) / x) * u) * z = ((x * (y / (u * z))) / x) * (u * z). [para(258(a,1),765(a,1,1,1,2)),flip(a)]. given #1400 (H,wt=27): 1112 (x * y) * T((x * y) \ (y * z),u) = y * (T(x,y) * T(T(x,y) \ z,u)). [hyper(114,a,787,a(flip),b,210,a)]. given #1401 (H,wt=23): 1468 x * (T(y,x) * T(T(y,x) \ y,z)) = (y * x) * T(K(x,y),z). [para(11(a,2),1112(a,1,2,1)),flip(a)]. given #1402 (H,wt=22): 1469 x * L(y,T(y,x) \ y,T(y,x)) = (y * x) * T(K(x,y),y). [para(1019(a,1),1468(a,1,2))]. given #1403 (H,wt=27): 1348 (x \ 1) * (y * T(y \ ((x \ 1) \ z),u)) = (x \ T(x * (z / y),u)) * y. [para(805(a,1),1342(a,1,1)),flip(a)]. given #1404 (H,wt=25): 1470 (x \ T(x * (y / z),z)) * z = (x \ 1) * ((z \ ((x \ 1) \ y)) * z). [para(98(a,1),1348(a,1,2)),flip(a)]. given #1405 (H,wt=25): 1471 T((x \ (x * (y / x))) * x,x) = (x \ 1) * ((x \ ((x \ 1) \ y)) * x). [hyper(1222,a,1470,a)]. given #1406 (H,wt=17): 1472 T(x,y) = (y \ 1) * ((y \ ((y \ 1) \ x)) * y). [para(76(a,1),1471(a,1,1))]. given #1407 (H,wt=17): 1473 (x \ 1) * ((x \ y) * x) = T((x \ 1) * y,x). [para(4(a,1),1472(a,2,2,1,2)),flip(a)]. given #1408 (H,wt=23): 1474 T(((1 / x) \ 1) * y,1 / x) = x * (((1 / x) \ y) * (1 / x)). [hyper(533,a,1473,a),flip(a)]. given #1409 (H,wt=19): 1475 x * (((1 / x) \ y) * (1 / x)) = T(x * y,1 / x). [para(74(a,1),1474(a,1,1,1)),flip(a)]. given #1410 (H,wt=27): 1356 x * ((x \ y) * ((z * ((x \ y) \ u)) / z)) = y * ((z * (y \ (x * u))) / z). [hyper(114,a,762,a(flip),b,88,a),flip(a)]. given #1411 (H,wt=23): 1478 x * K(y,(y / (x \ z)) / y) = z * ((y * (z \ (x * 1))) / y). [para(1413(a,2),1356(a,1,2))]. given #1412 (H,wt=21): 1479 x * K(y,(y / (x \ z)) / y) = z * ((y * (z \ x)) / y). [para(3(a,1),1478(a,2,2,1,2,2))]. given #1413 (H,wt=25): 1480 (x * y) * ((z * ((x * y) \ y)) / z) = y * K(z,(z / T(x,y)) / z). [para(17(a,2),1479(a,1,2,2,1,2)),flip(a)]. given #1414 (H,wt=21): 1481 T(x * ((y * (x \ 1)) / y),z) = K(y,(y / T(x,z)) / y). [hyper(215,a,1409,a(flip),b,1480,a(flip))]. given #1415 (H,wt=19): 1483 K(x,(x / T(y \ x,z)) / x) = T(K(x,y / x),z). [para(1415(a,1),1481(a,1,1)),flip(a)]. given #1416 (H,wt=21): 1484 T(K(x,y / x),K(y / x,z)) = K(x,(x / (y \ x)) / x). [para(982(a,1),1483(a,1,2,1,2)),flip(a)]. given #1417 (H,wt=17): 1485 T(K(x,y / x),K(y / x,z)) = K(x,y / x). [para(72(a,1),1484(a,2,2,1))]. given #1418 (H,wt=19): 1487 T(K(x,y),K((y * x) / x,z)) = K(x,(y * x) / x). [para(6(a,1),1485(a,1,1,2))]. given #1419 (H,wt=15): 1488 T(K(x,y),K(y,z)) = K(x,(y * x) / x). [para(6(a,1),1487(a,1,2,1))]. given #1420 (H,wt=11): 1489 T(K(x,y),K(y,z)) = K(x,y). [para(6(a,1),1488(a,2,2))]. given #1421 (H,wt=11): 1490 T(K(x,y),K(z,x)) = K(x,y). [hyper(49,a,1489,a)]. given #1422 (H,wt=11): 1494 T(K(x,y),K(x,z)) = K(x,y). [para(28(a,1),1490(a,1,2))]. given #1423 (H,wt=15): 1491 K(x,y) * K(z,x) = K(z,x) * K(x,y). [hyper(114,a,1489,a(flip),b,17,a(flip))]. given #1424 (H,wt=15): 1493 T((x * y) \ (y * x),K(z,y)) = K(y,x). [para(11(a,1),1490(a,1,1))]. given #1425 (H,wt=15): 1498 K(x,y) * K(x,z) = K(x,z) * K(x,y). [hyper(114,a,1494,a(flip),b,17,a(flip))]. given #1426 (H,wt=18): 1492 K(x,y) * K(z,x) != u | K(z,x) * K(x,y) = u. [para(1489(a,1),248(a,1,2))]. given #1427 (H,wt=18): 1495 K(x,y) * K(y,z) != u | K(y,z) * K(x,y) = u. [para(1490(a,1),248(a,1,2))]. given #1428 (H,wt=18): 1499 K(x,y) * K(x,z) != u | K(x,z) * K(x,y) = u. [para(1494(a,1),248(a,1,2))]. given #1429 (H,wt=20): 1500 T((x * y) \ (y * x),K(z,y)) = L(y \ T(y,x),y,x). [hyper(272,a,615,a(flip),b,1493,a),flip(a)]. given #1430 (H,wt=15): 1501 T(x \ T(x,y),K(z,x)) = x \ T(x,y). [hyper(618,a,1500,a)]. given #1431 (H,wt=13): 1502 T(K(x,y),y \ T(y,z)) = K(x,y). [hyper(49,a,1501,a)]. given #1432 (H,wt=11): 1503 K(K(x,y),y \ T(y,z)) = 1. [hyper(50,a,1502,a)]. given #1433 (H,wt=15): 1504 K(K(x,y),y \ ((T(z,y) \ z) * y)) = 1. [para(1377(a,1),1503(a,1,2,2))]. given #1434 (H,wt=13): 1505 K(K(x,y),T(T(z,y) \ z,y)) = 1. [para(17(a,2),1504(a,1,2))]. given #1435 (H,wt=21): 1496 L(K(x,y),z,u) * K(w,x) = K(w,x) * L(K(x,y),z,u). [para(1490(a,1),213(a,1,2,1)),flip(a)]. given #1436 (H,wt=24): 1497 K(x,y) * L(K(y,z),u,w) != v5 | L(K(y,z),u,w) * K(x,y) = v5. [para(1490(a,1),343(a,1,2,1))]. given #1437 (H,wt=25): 1482 T(x,y) * ((z * (T(x,y) \ 1)) / z) = T(x * ((z * (x \ 1)) / z),y). [hyper(272,a,1413,a(flip),b,1481,a)]. given #1438 (H,wt=25): 1506 T(x * ((T(x,y) * (x \ 1)) / T(x,y)),y) = T(x,y) * (1 / T(x,y)). [para(5(a,1),1482(a,1,2,1)),flip(a)]. given #1439 (H,wt=25): 1507 T(x * ((T(x,y) * (x \ 1)) / T(x,y)),y) = K(T(x,y),T(x,y) \ 1). [hyper(272,a,1050,a,b,1506,a),flip(a)]. given #1440 (H,wt=19): 1508 K(T(x,y),T(x,y) \ 1) = T(K(T(x,y),1 / x),y). [para(1416(a,1),1507(a,1,1)),flip(a)]. given #1441 (H,wt=27): 1418 ((x * y) * L((x * y) \ x,z,u)) * y = (x * y) * (y * L(y \ 1,z,u)). [hyper(58,a,901,a(flip),b,1405,a),flip(a)]. given #1442 (H,wt=25): 1509 (x * (y * L(y \ 1,z,u))) * y = (x * y) * (y * L(y \ 1,z,u)). [para(901(a,1),1418(a,1,1))]. given #1443 (H,wt=24): 1510 (x * y) * (y * L(y \ 1,y,1 / y)) = (x * (y * (1 / y))) * y. [para(326(a,1),1509(a,1,1,2,2)),flip(a)]. given #1444 (H,wt=19): 1511 (x * (y * (1 / y))) * y = (x * y) * (y * (1 / y)). [para(326(a,1),1510(a,1,2,2)),flip(a)]. given #1445 (H,wt=19): 1512 (x * K(y,y \ 1)) * y = (x * y) * (y * (1 / y)). [para(1050(a,2),1511(a,1,1,2))]. given #1446 (H,wt=19): 1513 (x * K(y,y \ 1)) * y = (x * y) * K(y,y \ 1). [para(1050(a,2),1512(a,2,2))]. given #1447 (H,wt=21): 1514 T((x / y) * K(y,y \ 1),y) = y \ (x * K(y,y \ 1)). [hyper(359,a,135,a(flip),b,1513,a)]. given #1448 (H,wt=27): 1431 (x \ 1) * (K(x \ 1,x) * ((x \ 1) \ y)) = K(x \ 1,(x \ 1) \ 1) * y. [para(1059(a,1),1429(a,1,2,1))]. given #1449 (H,wt=23): 1515 (x \ 1) * (K(x \ 1,x) * ((x \ 1) \ y)) = K(x \ 1,x) * y. [para(1059(a,1),1431(a,2,1))]. given #1450 (H,wt=23): 1516 (x \ 1) \ (K(x \ 1,x) * y) = K(x \ 1,x) * ((x \ 1) \ y). [hyper(117,a,1515,a)]. given #1451 (H,wt=26): 1517 L((1 / x) \ y,1 / x,K(x \ 1,x)) = K(x \ 1,x) * ((x \ 1) \ y). [hyper(58,a,959,a,b,1516,a)]. given #1452 (H,wt=27): 1459 K(((x \ y) * (y \ x)) \ (x \ y),(x \ y) * (y \ x)) = y \ (x * (x \ y)). [para(896(a,1),1044(a,2,2,2))]. given #1453 (H,wt=21): 1518 K(((x \ y) * (y \ x)) \ (x \ y),(x \ y) * (y \ x)) = 1. [hyper(272,a,228,a(flip),b,1459,a),flip(a)]. given #1454 (H,wt=19): 1520 T(1 / (x \ y),(y \ x) * (x \ y)) = 1 / (x \ y). [para(1518(a,1),892(a,1,1)),flip(a)]. given #1455 (H,wt=17): 1521 ((x \ y) * (y \ x)) \ (x \ y) = 1 / (y \ x). [hyper(58,a,1360,a(flip),b,1520,a)]. given #1456 (H,wt=17): 1522 (x \ y) / (1 / (y \ x)) = (x \ y) * (y \ x). [hyper(178,a,1521,a)]. given #1457 (H,wt=21): 1523 (((x * y) \ x) * y) \ ((x * y) \ x) = 1 / (x \ (x * y)). [para(4(a,1),1521(a,1,1,2))]. given #1458 (H,wt=17): 1524 (((x * y) \ x) * y) \ ((x * y) \ x) = 1 / y. [para(4(a,1),1523(a,2,2))]. given #1459 (H,wt=17): 1525 ((x * y) \ x) / (1 / y) = ((x * y) \ x) * y. [hyper(178,a,1524,a)]. given #1460 (H,wt=27): 1467 (((x * ((y / z) / u)) / x) * u) * z = (u * z) * ((x * ((u * z) \ y)) / x). [hyper(272,a,745,a(flip),b,1110,a),flip(a)]. given #1461 (H,wt=23): 1527 (x * y) * ((x * ((x * y) \ z)) / x) = (x * ((z / y) / x)) * y. [hyper(278,a,1467,a),flip(a)]. given #1462 (H,wt=23): 1529 x * (y * ((x * (y \ (x \ z))) / x)) = (x * ((z / y) / x)) * y. [hyper(58,a,1108,a(flip),b,1527,a)]. given #1463 (H,wt=26): 1528 (x * y) * ((x * ((x * y) \ z)) / x) != u | (x * ((z / y) / x)) * y = u. [para(1467(a,1),278(a,1))]. given #1464 (H,wt=20): 1532 T(x,x / (x * y)) != z | (x * ((x / y) / x)) * y = z. [para(844(a,1),1528(a,1))]. given #1465 (H,wt=26): 1533 x * (y * ((x * (y \ (x \ z))) / x)) != u | (x * ((z / y) / x)) * y = u. [para(1108(a,1),1528(a,1))]. given #1466 (H,wt=28): 610 T((T(x,y) * (1 / x)) / T(x,y),T(x,y) / x) = L(1 / x,T(x,y),1 / x). [para(373(a,1),604(a,1,2))]. given #1467 (H,wt=22): 1534 (T(x,y) * (1 / x)) / T(x,y) = L(1 / x,T(x,y),1 / x). [hyper(58,a,857,a(flip),b,610,a)]. given #1468 (H,wt=24): 1536 T(L(1 / x,T(x,y),1 / x),x) = (T(x,y) * (x \ 1)) / T(x,y). [para(1534(a,1),586(a,1,1))]. given #1469 (H,wt=22): 1537 (T(x,y) * (x \ 1)) / T(x,y) = L(x \ 1,T(x,y),1 / x). [hyper(58,a,223,a(flip),b,1536,a),flip(a)]. given #1470 (H,wt=20): 1538 x * L(x \ 1,T(x,y),1 / x) = K(T(x,y),1 / x). [para(1537(a,1),1416(a,1,2))]. given #1471 (H,wt=28): 1062 x * L(y,1 / (1 / x),K(x,x \ 1)) = K(x,x \ 1) * ((1 / (1 / x)) * y). [para(1057(a,1),87(a,1,1))]. given #1472 (H,wt=28): 1106 L(1 / (x \ (x / y)),x \ (x / y),x) = ((x \ (x / y)) * y) / (x \ (x / y)). [para(74(a,1),743(a,1,1,2)),flip(a)]. given #1473 (H,wt=23): 1539 L(1 / (x \ (x / y)),x \ (x / y),x) = L(y,x \ (x / y),y). [hyper(272,a,899,a(flip),b,1106,a),flip(a)]. given #1474 (H,wt=28): 1127 (x * y) * L((x * y) \ z,u,w) != v5 | x * (y * L(y \ (x \ z),u,w)) = v5. [para(254(a,1),671(a,1,2,1))]. given #1475 (H,wt=28): 1253 (L(x \ 1,x,y) * y) / L(x \ 1,x,y) = (y * x) * T(L(x \ 1,x,y),y). [para(328(a,1),1249(a,1,1)),flip(a)]. given #1476 (H,wt=25): 1540 (L(x \ 1,x,y) * y) / L(x \ 1,x,y) = y * (x * T(x \ 1,y)). [hyper(272,a,364,a(flip),b,1253,a),flip(a)]. given #1477 (H,wt=28): 1322 (x * y) * R((x * y) \ y,z,u) != y * w | T(x * R(x \ 1,z,u),y) = w. [para(1297(a,2),216(a,2)),flip(a)]. given #1478 (H,wt=28): 1347 x \ (y * (x * T(x \ (y \ z),u))) != w | T(y * T(y \ (z / x),u),x) = w. [para(1342(a,1),291(a,1,2))]. given #1479 (H,wt=28): 1364 T(x,x \ 1) * y != ((x \ 1) \ z) * T(x,x \ 1) | z * T(x,x \ 1) = y. [para(402(a,1),38(a,1)),flip(a)]. given #1480 (H,wt=28): 1399 L((x \ y) \ 1,x \ y,x) / (1 / (x \ y)) = (1 / (1 / (x \ y))) * (y \ x). [para(327(a,1),1398(a,1,2)),flip(a)]. given #1481 (H,wt=21): 1542 (1 / (1 / (x \ y))) * (y \ x) = (y \ x) / (1 / (x \ y)). [para(327(a,1),1399(a,1,1)),flip(a)]. given #1482 (H,wt=15): 1543 T(1 / (1 / (x \ y)),y \ x) = x \ y. [hyper(215,a,1542,a,b,1522,a(flip))]. given #1483 (H,wt=17): 1546 T(1 / (1 / x),(y * x) \ y) = y \ (y * x). [para(4(a,1),1543(a,1,1,2,2))]. given #1484 (H,wt=13): 1547 T(1 / (1 / x),(y * x) \ y) = x. [hyper(272,a,4,a(flip),b,1546,a),flip(a)]. given #1485 (H,wt=13): 1549 T(x,(y * x) \ y) = T(x,x \ 1). [para(1547(a,1),948(a,1,1)),flip(a)]. given #1486 (H,wt=13): 1550 T(x,(y * x) \ y) = (x \ 1) \ 1. [hyper(272,a,99,a(flip),b,1549,a),flip(a)]. given #1487 (H,wt=15): 1551 T(x \ y,y \ x) = ((x \ y) \ 1) \ 1. [para(5(a,1),1550(a,1,2,1))]. given #1488 (H,wt=15): 1555 1 / T(x \ y,y \ x) = (x \ y) \ 1. [hyper(178,a,1551,a(flip))]. given #1489 (H,wt=17): 1556 1 / T(x \ (x / y),y) = (x \ (x / y)) \ 1. [para(74(a,1),1555(a,1,2,2))]. given #1490 (H,wt=19): 1544 ((x \ y) * (y \ x)) / (x \ y) = 1 / (1 / (y \ x)). [hyper(113,a,1522,a(flip),b,1542,a)]. given #1491 (H,wt=18): 1559 L(x \ y,y \ x,x \ y) = 1 / (1 / (x \ y)). [hyper(58,a,900,a(flip),b,1544,a)]. given #1492 (H,wt=18): 1560 L(1 / (x \ y),x \ y,x) = 1 / (1 / (y \ x)). [hyper(58,a,743,a(flip),b,1544,a)]. given #1493 (H,wt=18): 1562 L(x,y \ (y / x),x) = 1 / (1 / ((y / x) \ y)). [hyper(58,a,1539,a(flip),b,1560,a)]. given #1494 (H,wt=14): 1563 L(x,y \ (y / x),x) = 1 / (1 / x). [para(74(a,1),1562(a,2,2,2))]. given #1495 (H,wt=14): 1564 L(x,(y * x) \ y,x) = 1 / (1 / x). [para(6(a,1),1563(a,1,2,2))]. given #1496 (H,wt=19): 1553 x * T(y \ z,z \ y) = x * (((y \ z) \ 1) \ 1). [hyper(114,a,1551,a,b,4,a)]. given #1497 (H,wt=19): 1554 T(x \ y,y \ x) \ z = (((x \ y) \ 1) \ 1) \ z. [hyper(56,a,1551,a)]. given #1498 (H,wt=20): 1558 (x \ (x / y)) \ 1 != 1 / z | T(x \ (x / y),y) = z. [para(1556(a,1),40(a,1))]. given #1499 (H,wt=21): 1561 x * K(x \ y,(x \ y) \ 1) = y * (1 / (1 / (y \ x))). [para(1559(a,1),1361(a,1,2)),flip(a)]. given #1500 (H,wt=22): 1557 ((x \ y) \ 1) \ 1 != z \ u | z * T(x \ y,y \ x) = u. [para(1555(a,1),506(a,1,1))]. given #1501 (H,wt=25): 1552 (x * y) * K(((x * y) \ x) \ 1,(x * y) \ x) = x * ((y \ 1) \ 1). [para(1550(a,1),1079(a,2,2))]. given #1502 (H,wt=28): 1404 T((x * (y * z)) \ (R(x,y,z) * (y * z)),x) = (x * (y * z)) \ ((x * y) * z). [para(93(a,2),1211(a,1,1,2))]. given #1503 (H,wt=28): 1424 x * L(x \ T(y,x),z,u) != w * v5 | w \ T(x * L(x \ y,z,u),x) = v5. [para(1423(a,1),341(a,1,2))]. given #1504 (H,wt=28): 1447 x * R(x \ T(y,x),z,u) != w * v5 | T(x * R(x \ y,z,u),x) / v5 = w. [para(1445(a,1),283(a,1,2))]. given #1505 (H,wt=28): 1448 x * R(x \ T(y,x),z,u) != w * v5 | w \ T(x * R(x \ y,z,u),x) = v5. [para(1445(a,1),341(a,1,2))]. given #1506 (H,wt=28): 1545 (x \ y) / (1 / (y \ x)) != (x \ y) * z | T(1 / (1 / (y \ x)),x \ y) = z. [para(1542(a,1),216(a,2)),flip(a)]. given #1507 (H,wt=29): 310 T(x,x \ 1) * ((y * z) * T(x,x \ 1)) = ((x \ 1) \ y) * (z * T(x,x \ 1)). [para(239(a,1),27(a,1,1,1)),flip(a)]. given #1508 (H,wt=29): 780 (x * y) * R((y * T(x,y)) \ y,z,u) = y * (T(x,y) * R(T(x,y) \ 1,z,u)). [hyper(114,a,331,a,b,210,a)]. given #1509 (H,wt=27): 1568 x * (T(y,x) * R(T(y,x) \ 1,z,u)) = (y * x) * R((y * x) \ x,z,u). [para(98(a,1),780(a,1,2,1,1)),flip(a)]. given #1510 (H,wt=23): 1569 T(x,y) * R(T(x,y) \ 1,z,u) = T(x * R(x \ 1,z,u),y). [hyper(215,a,1297,a(flip),b,1568,a),flip(a)]. given #1511 (H,wt=24): 1570 T(x * R(x \ 1,T(x,y),z),y) = (z / (T(x,y) * z)) * T(x,y). [hyper(568,a,1569,a),flip(a)]. given #1512 (H,wt=28): 1571 T(x * R(x \ 1,T(x,y),x \ 1),y) = ((x \ 1) / (x \ T(x,y))) * T(x,y). [para(685(a,1),1570(a,2,1,2))]. given #1513 (H,wt=25): 1572 ((x \ 1) / (x \ T(x,y))) * T(x,y) = T(x * T(x \ 1,T(x,y)),y). [para(716(a,1),1571(a,1,1,2)),flip(a)]. given #1514 (H,wt=15): 1573 (x \ 1) / (x \ T(x,y)) = T(x,y) \ 1. [hyper(30,a,1334,a(flip),b,1572,a),flip(a)]. given #1515 (H,wt=21): 1574 T(T(x,y) \ 1,x \ T(x,y)) = (x \ T(x,y)) \ (x \ 1). [para(1573(a,1),100(a,1,1))]. given #1516 (H,wt=15): 1575 (x \ T(x,y)) \ (x \ 1) = T(x,y) \ 1. [hyper(58,a,1345,a(flip),b,1574,a),flip(a)]. given #1517 (H,wt=29): 923 ((x * ((y \ z) / (y * (y \ z)))) / x) * z = (((x * (1 / y)) / x) * y) * (y \ z). [para(764(a,1),447(a,1,1))]. given #1518 (H,wt=25): 1577 ((x * ((y \ z) / z)) / x) * z = (((x * (1 / y)) / x) * y) * (y \ z). [para(5(a,1),923(a,1,1,1,2,2))]. given #1519 (H,wt=25): 1578 (((x * (1 / y)) / x) * y) * (y \ z) = z * ((x * (z \ (y \ z))) / x). [hyper(878,a,1577,a),flip(a)]. given #1520 (H,wt=25): 1579 (x * ((y * (x \ 1)) / y)) * (x \ z) = z * ((y * (z \ (x \ z))) / y). [para(745(a,1),1578(a,1,1))]. given #1521 (H,wt=25): 1580 (x * ((y * (x \ (z \ x))) / y)) / (z \ x) = z * ((y * (z \ 1)) / y). [hyper(122,a,1579,a)]. given #1522 (H,wt=29): 1319 T(x,y) * T((y \ (x * y)) \ (y \ z),u) = y \ ((x * y) * T((x * y) \ z,u)). [para(17(a,2),1287(a,1,1))]. given #1523 (H,wt=27): 1582 x \ ((y * x) * T((y * x) \ z,u)) = T(y,x) * T(T(y,x) \ (x \ z),u). [para(17(a,2),1319(a,1,2,1,1)),flip(a)]. given #1524 (H,wt=27): 1583 x \ (y * (x * T(x \ (y \ z),u))) = T(y,x) * T(T(y,x) \ (x \ z),u). [para(785(a,1),1582(a,1,2))]. given #1525 (H,wt=25): 1584 T(x,y) * T(T(x,y) \ (y \ z),u) = T(x * T(x \ (z / y),u),y). [hyper(1347,a,1583,a),flip(a)]. given #1526 (H,wt=25): 1585 T(x * T(x \ ((y * z) / y),u),y) = T(x,y) * T(T(x,y) \ z,u). [para(4(a,1),1584(a,1,2,1,2)),flip(a)]. given #1527 (H,wt=23): 1586 T(x,y) * T(T(x,y) \ T(z,y),u) = T(x * T(x \ z,u),y). [para(206(a,1),1585(a,1,1,2,1,2)),flip(a)]. given #1528 (H,wt=21): 1587 x * T(T(x,x) \ T(y,x),z) = T(x * T(x \ y,z),x). [para(97(a,1),1586(a,1,1))]. given #1529 (H,wt=19): 1588 T(x * T(x \ y,z),x) = x * T(x \ T(y,x),z). [para(97(a,1),1587(a,1,2,1,1)),flip(a)]. given #1530 (H,wt=19): 1589 x \ T(x * T(x \ y,z),x) = T(x \ T(y,x),z). [hyper(112,a,1588,a,b,xx)]. given #1531 (H,wt=19): 1590 T(x \ T(x * y,x),z) = x \ T(x * T(y,z),x). [para(4(a,1),1589(a,1,2,1,2,1)),flip(a)]. given #1532 (H,wt=19): 1592 x \ T(x * T(y / x,z),x) = T(T(y,x) / x,z). [para(1224(a,1),1590(a,1,1)),flip(a)]. given #1533 (H,wt=19): 1593 T(x * T(y,z),x) / x = T(T(x * y,x) / x,z). [hyper(58,a,1227,a(flip),b,1592,a)]. given #1534 (H,wt=26): 1591 x * T(x \ T(y,x),z) != u * w | u \ T(x * T(x \ y,z),x) = w. [para(1589(a,1),341(a,1,2))]. given #1535 (H,wt=29): 1357 (x * y) * L((x * y) \ (y * z),u,w) = y * (T(x,y) * L(T(x,y) \ z,u,w)). [para(440(a,1),779(a,1,2,1))]. given #1536 (H,wt=23): 1595 T(x,y) * L(T(x,y) \ y,z,u) = T(x * L(x \ y,z,u),y). [hyper(215,a,1405,a(flip),b,1357,a(flip)),flip(a)]. given #1537 (H,wt=27): 1594 T(x * L(x \ ((y * z) / y),u,w),y) = T(x,y) * L(T(x,y) \ z,u,w). [hyper(215,a,1407,a,b,1357,a(flip))]. given #1538 (H,wt=25): 1596 T(x,y) * L(T(x,y) \ T(z,y),u,w) = T(x * L(x \ z,u,w),y). [para(206(a,1),1594(a,1,1,2,1,2)),flip(a)]. given #1539 (H,wt=23): 1597 T(x,y) * L(T(x,y) \ 1,z,u) = T(x * L(x \ 1,z,u),y). [para(179(a,1),1596(a,1,2,1,2))]. given #1540 (H,wt=24): 1599 T(x * L(x \ 1,T(x,y),z),y) = T(x,y) * ((z * T(x,y)) \ z). [para(200(a,1),1597(a,1,2)),flip(a)]. given #1541 (H,wt=28): 1598 T(x * L(x \ 1,T(x,y),x / T(x,y)),y) = x \ (T(x,y) * (x / T(x,y))). [hyper(58,a,1012,a,b,1597,a),flip(a)]. given #1542 (H,wt=27): 1601 T((x / T(x,y)) * (T(x,y) * (x \ 1)),y) = x \ (T(x,y) * (x / T(x,y))). [para(422(a,1),1598(a,1,1))]. given #1543 (H,wt=25): 1602 T((x / T(x,y)) * (x \ T(x,y)),y) = x \ (T(x,y) * (x / T(x,y))). [para(685(a,1),1601(a,1,1,2))]. given #1544 (H,wt=23): 1603 T((x / T(x,y)) * (x \ T(x,y)),y) = K(T(x,y),x / T(x,y)). [hyper(272,a,83,a(flip),b,1602,a),flip(a)]. given #1545 (H,wt=28): 1600 T(x * L(x \ 1,T(x,y),1 / x),y) = T(x,y) * ((T(x,y) / x) \ (1 / x)). [para(373(a,1),1599(a,2,2,1))]. given #1546 (H,wt=23): 1604 T(x,y) * ((T(x,y) / x) \ (1 / x)) = T(K(T(x,y),1 / x),y). [para(1538(a,1),1600(a,1,1)),flip(a)]. given #1547 (H,wt=23): 1605 T(x,y) * ((T(x,y) / x) \ (1 / x)) = K(T(x,y),T(x,y) \ 1). [hyper(272,a,1508,a,b,1604,a),flip(a)]. given #1548 (H,wt=15): 1606 (T(x,y) / x) \ (1 / x) = 1 / T(x,y). [hyper(29,a,1050,a(flip),b,1605,a),flip(a)]. given #1549 (H,wt=15): 1607 (T(x,y) / x) * (1 / T(x,y)) = 1 / x. [hyper(127,a,1606,a)]. given #1550 (H,wt=27): 1608 (T(T(x,x \ 1),y) / T(x,x \ 1)) \ (x \ 1) = 1 / T(T(x,x \ 1),y). [para(239(a,1),1606(a,1,2))]. given #1551 (H,wt=19): 1609 (x \ T(x,y)) \ (x \ 1) = 1 / T(T(x,x \ 1),y). [para(1116(a,1),1608(a,1,1))]. given #1552 (H,wt=15): 1610 1 / T(T(x,x \ 1),y) = T(x,y) \ 1. [hyper(58,a,1575,a(flip),b,1609,a),flip(a)]. given #1553 (H,wt=15): 1611 T(T(x,x \ 1),y) = (T(x,y) \ 1) \ 1. [hyper(172,a,1610,a),flip(a)]. given #1554 (H,wt=15): 1612 1 / T((x \ 1) \ 1,y) = T(x,y) \ 1. [para(99(a,1),1610(a,1,2,1))]. given #1555 (H,wt=15): 1613 1 / T(x \ 1,y) = T(1 / x,y) \ 1. [para(557(a,1),1610(a,1,2,1))]. given #1556 (H,wt=15): 1614 T(1 / (1 / x),y) \ 1 = 1 / T(x,y). [para(304(a,1),1610(a,1,2,1)),flip(a)]. given #1557 (H,wt=15): 1615 T((x \ 1) \ 1,y) = (T(x,y) \ 1) \ 1. [para(99(a,1),1611(a,1,1))]. given #1558 (H,wt=15): 1616 (T(1 / x,y) \ 1) \ 1 = T(x \ 1,y). [para(557(a,1),1611(a,1,1)),flip(a)]. given #1559 (H,wt=15): 1617 1 / (1 / T(x,y)) = T(1 / (1 / x),y). [hyper(178,a,1614,a)]. given #1560 (H,wt=16): 1619 L(x,T(x,y) \ 1,T(x,y)) = 1 / (1 / x). [hyper(957,a,1617,a(flip))]. given #1561 (H,wt=17): 1618 x * ((T(y,x) \ 1) \ 1) = ((y \ 1) \ 1) * x. [hyper(114,a,1615,a(flip),b,17,a(flip))]. given #1562 (H,wt=17): 1620 x * K(x \ (x / T(x,y)),x) = 1 / (1 / x). [hyper(58,a,1289,a(flip),b,1619,a)]. given #1563 (H,wt=15): 1623 K(x \ (x / T(x,y)),x) = K(x \ 1,x). [hyper(29,a,952,a,b,1620,a),flip(a)]. given #1564 (H,wt=13): 1624 T(K(x \ 1,x),y) = K(x \ 1,x). [hyper(58,a,1332,a(flip),b,1623,a)]. given #1565 (H,wt=9): 1627 T(x,K(y \ 1,y)) = x. [hyper(49,a,1624,a)]. given #1566 (H,wt=9): 1631 T(x,K(y,y \ 1)) = x. [para(28(a,1),1627(a,1,2))]. given #1567 (H,wt=9): 1639 T(x,y * (1 / y)) = x. [para(1050(a,1),1631(a,1,2))]. given #1568 (H,wt=13): 1634 T(K(x,x \ 1),y) = K(x,x \ 1). [hyper(49,a,1631,a)]. given #1569 (H,wt=15): 1628 K(x \ 1,x) * y = y * K(x \ 1,x). [hyper(114,a,1624,a(flip),b,17,a(flip)),flip(a)]. given #1570 (H,wt=15): 1635 K(x,x \ 1) * y = y * K(x,x \ 1). [hyper(114,a,1631,a(flip),b,17,a(flip))]. given #1571 (H,wt=15): 1636 x \ (K(y,y \ 1) * x) = K(y,y \ 1). [para(1631(a,1),207(a,1,2,2))]. given #1572 (H,wt=15): 1640 (x * (1 / x)) * y = y * (x * (1 / x)). [hyper(114,a,1639,a(flip),b,17,a(flip))]. given #1573 (H,wt=17): 1625 K(x \ 1,x) / T(x,y) = T(1 / T(x,y),x). [para(1623(a,1),889(a,1,1))]. given #1574 (H,wt=17): 1642 K(x,x \ 1) * (y \ 1) = y \ K(x,x \ 1). [para(1634(a,1),676(a,1,1))]. given #1575 (H,wt=17): 1650 (x \ 1) * K(y,y \ 1) = x \ K(y,y \ 1). [hyper(58,a,1635,a(flip),b,1642,a)]. given #1576 (H,wt=18): 1629 x * K(y \ 1,y) != z | K(y \ 1,y) * x = z. [para(1624(a,1),248(a,1,2))]. given #1577 (H,wt=17): 1651 L(x,x \ 1,x) != y | K(x \ 1,x) * x = y. [para(476(a,1),1629(a,1))]. given #1578 (H,wt=18): 1633 K(x \ 1,x) * y != z | y * K(x \ 1,x) = z. [para(1627(a,1),248(a,1,2))]. given #1579 (H,wt=18): 1637 K(x,x \ 1) * y != z * K(x,x \ 1) | y = z. [para(1631(a,1),217(a,1,2))]. given #1580 (H,wt=18): 1638 K(x,x \ 1) * y != z | y * K(x,x \ 1) = z. [para(1631(a,1),248(a,1,2))]. given #1581 (H,wt=18): 1641 x * K(y,y \ 1) != z | K(y,y \ 1) * x = z. [para(1634(a,1),248(a,1,2))]. given #1582 (H,wt=19): 1621 (((x / y) \ 1) \ 1) * y = y * (((y \ x) \ 1) \ 1). [para(100(a,1),1618(a,1,2,1,1)),flip(a)]. given #1583 (H,wt=19): 1644 x * (K(y \ 1,y) * z) = x * (z * K(y \ 1,y)). [hyper(114,a,1628,a,b,4,a)]. given #1584 (H,wt=19): 1646 x * (K(y,y \ 1) * z) = x * (z * K(y,y \ 1)). [hyper(114,a,1635,a,b,4,a)]. given #1585 (H,wt=19): 1652 (x * T(x \ y,y \ x)) / x = ((y / x) \ 1) \ 1. [hyper(113,a,1553,a,b,1621,a)]. given #1586 (H,wt=15): 1655 T(x / y,x \ y) = ((x / y) \ 1) \ 1. [hyper(394,a,1652,a)]. given #1587 (H,wt=18): 1656 ((x / y) \ 1) \ 1 != z | T(x / y,x \ y) = z. [para(1652(a,1),394(a,1))]. given #1588 (H,wt=22): 1643 L(K(x,x \ 1),y,z) * (z * y) = z * (y * K(x,x \ 1)). [para(1634(a,1),547(a,1,2,2)),flip(a)]. given #1589 (H,wt=22): 1648 x \ y != z * K(u,u \ 1) | x * (K(u,u \ 1) * z) = y. [para(1636(a,1),286(a,2,2))]. given #1590 (H,wt=22): 1649 x * (y * K(z,z \ 1)) != u | x * (K(z,z \ 1) * y) = u. [para(1636(a,1),288(a,1,2,2))]. given #1591 (H,wt=22): 1654 x * (y * K(z \ 1,z)) != x * u | K(z \ 1,z) * y = u. [para(1644(a,1),38(a,1))]. given #1592 (H,wt=26): 1645 (x * K(y \ 1,y)) * L(z,x,K(y \ 1,y)) = K(y \ 1,y) * (x * z). [para(1628(a,1),87(a,1,1))]. given #1593 (H,wt=28): 1647 R(x,x \ y,K(z,z \ 1)) \ (K(z,z \ 1) * y) = (x \ y) * K(z,z \ 1). [para(1635(a,2),445(a,1,2))]. given #1594 (H,wt=29): 1385 ((x * y) * L(y,z,u)) \ (y * (x * L(y,z,u))) != w | K(y,x * L(y,z,u)) = w. [para(1380(a,1),293(a,1,1))]. given #1595 (H,wt=29): 1438 (x \ (y * z)) * R((x \ (y * z)) \ z,u,w) = x \ ((y * R(y \ x,u,w)) * z). [para(1408(a,1),1098(a,1,2)),flip(a)]. given #1596 (H,wt=27): 1657 (x \ (y * x)) * R((x \ (y * x)) \ x,z,u) = T(y * R(y \ x,z,u),x). [hyper(272,a,17,a,b,1438,a),flip(a)]. given #1597 (H,wt=25): 1658 T(x,y) * R((y \ (x * y)) \ y,z,u) = T(x * R(x \ y,z,u),y). [para(17(a,2),1657(a,1,1))]. given #1598 (H,wt=23): 1659 T(x,y) * R(T(x,y) \ y,z,u) = T(x * R(x \ y,z,u),y). [para(17(a,2),1658(a,1,2,1,1))]. given #1599 (H,wt=29): 1477 (1 / x) * ((((1 / x) \ y) * (1 / x)) * x) = T((1 / x) * T(x * y,1 / x),x). [para(1475(a,1),647(a,1,1,2)),flip(a)]. given #1600 (H,wt=28): 1661 (1 / x) * R((1 / x) \ y,1 / x,x) = T((1 / x) * T(x * y,1 / x),x). [para(237(a,1),1477(a,1,2))]. given #1601 (H,wt=25): 1662 T((1 / x) * T(x * y,1 / x),x) = (1 / x) * T(y * x,1 / x). [para(566(a,1),1661(a,1,2)),flip(a)]. given #1602 (H,wt=21): 1663 T((1 / x) * T(x * y,1 / x),x) = (y * x) * (1 / x). [hyper(272,a,98,a(flip),b,1662,a),flip(a)]. given #1603 (H,wt=17): 1664 T((x * y) * (1 / x),x) = (y * x) * (1 / x). [para(98(a,1),1663(a,1,1))]. given #1604 (H,wt=20): 1665 T((x * y) * (1 / x),x) != z * (1 / x) | y * x = z. [para(1664(a,2),39(a,1))]. given #1605 (H,wt=29): 1526 K(((x * y) \ x) \ (((x * y) \ x) * y),(x * y) \ x) * y = T(y,(x * y) \ x). [para(1525(a,1),890(a,2,1,1,2)),flip(a)]. given #1606 (H,wt=17): 1666 K(x,(y * x) \ y) * x = T(x,(y * x) \ y). [para(4(a,1),1526(a,1,1,1))]. given #1607 (H,wt=15): 1667 K(x,(y * x) \ y) = ((x \ 1) \ 1) / x. [hyper(113,a,1550,a(flip),b,1666,a),flip(a)]. given #1608 (H,wt=13): 1669 K(x,(y * x) \ y) = K(x,x \ 1). [hyper(272,a,1051,a(flip),b,1667,a),flip(a)]. given #1609 (H,wt=17): 1670 K(x \ y,(x \ y) \ 1) = K(x \ y,y \ x). [para(5(a,1),1669(a,1,2,1)),flip(a)]. given #1610 (H,wt=11): 1674 T(x,K(y \ z,z \ y)) = x. [para(1670(a,1),1631(a,1,2))]. given #1611 (H,wt=17): 1672 (x \ y) \ K(x \ y,y \ x) = 1 / (x \ y). [hyper(112,a,1670,a(flip),b,1050,a(flip))]. given #1612 (H,wt=19): 1671 K(T(x,y),T(x,y) \ 1) = K(T(x,y),(x * y) \ y). [para(98(a,1),1669(a,1,2,1)),flip(a)]. given #1613 (H,wt=19): 1673 x * K(x \ y,y \ x) = y * (1 / (1 / (y \ x))). [para(1670(a,1),1561(a,1,2))]. given #1614 (H,wt=19): 1675 K(x \ y,y \ x) * z = z * K(x \ y,y \ x). [hyper(1665,a,1674,a),flip(a)]. given #1615 (H,wt=23): 1676 (x * y) * K((x * y) \ x,x \ (x * y)) = x * (1 / (1 / y)). [para(4(a,1),1673(a,2,2,2,2))]. given #1616 (H,wt=19): 1677 (x * y) * K((x * y) \ x,y) = x * (1 / (1 / y)). [para(4(a,1),1676(a,1,2,2))]. given #1617 (H,wt=29): 1566 T(R(x \ R(x,y,z),x,y * z),x * (y * z)) = (x * (y * z)) \ ((x * y) * z). [hyper(58,a,643,a,b,1404,a)]. given #1618 (H,wt=22): 1678 a(x,y,z) = T(R(x \ R(x,y,z),x,y * z),x * (y * z)). [hyper(272,a,9,a,b,1566,a)]. given #1619 (H,wt=23): 1679 R(x \ R(x,y,z),x,y * z) = ((x * y) * z) / (x * (y * z)). [hyper(225,a,1566,a),flip(a)]. given #1620 (H,wt=13): 1681 R(x,y,z) / x = x \ R(x,y,z). [hyper(1125,a,1679,a)]. given #1621 (H,wt=13): 1682 (x \ R(x,y,z)) * x = R(x,y,z). [hyper(125,a,1681,a)]. given #1622 (H,wt=13): 1683 x * (R(x,y,z) / x) = R(x,y,z). [hyper(114,a,1681,a,b,xx)]. given #1623 (H,wt=16): 1685 R(x,y,z) != u * x | x \ R(x,y,z) = u. [para(1682(a,1),39(a,1))]. given #1624 (H,wt=16): 1687 x \ R(x,y,z) != u | R(x,y,z) / x = u. [para(1683(a,1),287(a,1,2))]. given #1625 (H,wt=18): 1686 R(1 / x,x,y) / (1 / x) = (y / (x * y)) * x. [hyper(29,a,863,a,b,1683,a),flip(a)]. given #1626 (H,wt=18): 1688 ((x / (y * x)) * y) * (1 / y) = R(1 / y,y,x). [hyper(125,a,1686,a)]. given #1627 (H,wt=17): 1690 ((x / (y * x)) * y) * (1 / y) = x / (y * x). [hyper(272,a,202,a(flip),b,1688,a),flip(a)]. given #1628 (H,wt=14): 1692 L(x \ 1,x,y / (x * y)) = 1 / x. [hyper(729,a,1690,a)]. given #1629 (H,wt=18): 1693 x / (y * x) = R(y \ 1,y,x) * (y * (1 / y)). [hyper(58,a,979,a,b,1690,a),flip(a)]. given #1630 (H,wt=18): 1694 L((x / y) \ 1,x / y,y / x) = 1 / (x / y). [para(7(a,1),1692(a,1,3,2))]. given #1631 (H,wt=17): 1695 ((x / y) * (y / x)) \ (x / y) = 1 / (y / x). [hyper(442,a,1694,a)]. given #1632 (H,wt=19): 1684 (x \ 1) * (x * R(x \ 1,y,z)) = R(x \ 1,y,z). [hyper(114,a,411,a(flip),b,1681,a(flip))]. given #1633 (H,wt=19): 1691 R(x \ 1,x,y) \ R(1 / x,x,y) = x * (1 / x). [hyper(112,a,1688,a(flip),b,979,a)]. given #1634 (H,wt=21): 1696 ((x * y) / y) * (y / (x * y)) = x / (1 / (y / (x * y))). [para(1695(a,1),275(a,1,2)),flip(a)]. given #1635 (H,wt=17): 1698 x / (1 / (y / (x * y))) = x * (y / (x * y)). [para(6(a,1),1696(a,1,1)),flip(a)]. given #1636 (H,wt=22): 1697 R(x \ 1,x,y) \ R(1 / x,x,y) != z | K(x,1 / x) = z. [para(1691(a,2),324(a,1))]. given #1637 (H,wt=24): 1699 K(x \ (x * (y / (x * y))),x) = R(x \ 1,x,y) / (y / (x * y)). [para(1698(a,1),891(a,1,1,2))]. given #1638 (H,wt=20): 1700 R(x \ 1,x,y) / (y / (x * y)) = K(y / (x * y),x). [hyper(58,a,575,a(flip),b,1699,a),flip(a)]. given #1639 (H,wt=20): 1702 K(x / (y * x),y) * (x / (y * x)) = R(y \ 1,y,x). [hyper(125,a,1700,a)]. given #1640 (H,wt=23): 1703 R(x \ 1,x,y) != z * (y / (x * y)) | K(y / (x * y),x) = z. [para(1702(a,1),39(a,1))]. given #1641 (H,wt=25): 1680 T(x,y * (z * u)) != a(y,z,u) | R(y \ R(y,z,u),y,z * u) = x. [para(1678(a,2),44(a,1)),flip(a)]. given #1642 (H,wt=25): 1689 ((x / (y * x)) * y) * (1 / y) != z * u | z \ R(1 / y,y,x) = u. [para(1686(a,1),282(a,1,1))]. given #1643 (H,wt=29): 1581 (x * ((y * (x \ z)) / y)) / ((x / z) \ x) = (x / z) * ((y * ((x / z) \ 1)) / y). [para(74(a,1),1580(a,1,1,2,1,2,2))]. given #1644 (H,wt=25): 1704 (x / y) * ((z * ((x / y) \ 1)) / z) = (x * ((z * (x \ y)) / z)) / y. [para(74(a,1),1581(a,1,2)),flip(a)]. given #1645 (H,wt=29): 1660 T(x,x * y) * R(T(x,x * y) \ (x * y),z,u) = T(x * R(y,z,u),x * y). [para(4(a,1),1659(a,2,1,2,1))]. given #1646 (H,wt=30): 734 (x * (y * (z * u))) \ (x * ((y * z) * u)) != w | L(a(y,z,u),y * (z * u),x) = w. [para(79(a,1),430(a,1,2,2))]. given #1647 (H,wt=30): 984 (x * y) * T((x * y) \ (x * z),u) != w * v5 | (x * (y * T(y \ z,u))) / v5 = w. [para(439(a,2),496(a,1,2))]. given #1648 (H,wt=30): 1312 T(((T(x,y) \ x) * x) / (T(x,y) \ x),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). [para(1310(a,2),604(a,1,2))]. given #1649 (H,wt=28): 1706 T(T(x,y) * T(T(x,y) \ x,x),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). [para(1250(a,1),1312(a,1,1))]. given #1650 (H,wt=27): 1707 T(L(x,T(x,y) \ x,T(x,y)),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). [para(1019(a,1),1706(a,1,1))]. given #1651 (H,wt=27): 1708 T(L(x,T(x,y) \ x,T(x,y)),x * (T(x,y) \ x)) = L(x,T(x,y) \ x,x). [para(1310(a,1),1707(a,1,2))]. given #1652 (H,wt=27): 1709 L(T(x,x * (T(x,y) \ x)),T(x,y) \ x,T(x,y)) = L(x,T(x,y) \ x,x). [hyper(58,a,20,a,b,1708,a)]. given #1653 (H,wt=19): 1710 L(x,T(x,y) \ x,T(x,y)) = L(x,T(x,y) \ x,x). [para(1307(a,1),1709(a,1,1))]. given #1654 (H,wt=20): 1711 T(x,y) * T(T(x,y) \ x,x) = L(x,T(x,y) \ x,x). [hyper(1027,a,1710,a)]. given #1655 (H,wt=18): 1713 L(x,T(x,y) \ x,x) = (T(x,y) \ x) * T(x,y). [hyper(58,a,1313,a(flip),b,1711,a),flip(a)]. given #1656 (H,wt=20): 1712 x * L(y,T(y,x) \ y,y) = (y * x) * T(K(x,y),y). [para(1710(a,1),1469(a,1,2))]. given #1657 (H,wt=30): 1365 (x * y) * ((z * ((x * y) \ (x * u))) / z) != w | x * (y * ((z * (y \ u)) / z)) = w. [para(89(a,1),763(a,1,2,1,2))]. given #1658 (H,wt=30): 1366 (x * y) * ((z * ((x * y) \ u)) / z) != w | x * (y * ((z * (y \ (x \ u))) / z)) = w. [para(254(a,1),763(a,1,2,1,2))]. given #1659 (H,wt=30): 1411 ((x / y) \ 1) \ R(1 / (x / y),x / y,y) = (y / x) * T(x / y,(x / y) \ 1). [para(335(a,1),1410(a,1,1)),flip(a)]. given #1660 (H,wt=28): 1714 ((x / y) \ 1) \ R(1 / (x / y),x / y,y) = (y / x) * (((x / y) \ 1) \ 1). [hyper(272,a,269,a(flip),b,1411,a),flip(a)]. given #1661 (H,wt=21): 1715 (x / y) * (((y / x) \ 1) \ 1) = ((y / x) \ 1) \ (x / y). [para(335(a,1),1714(a,1,2)),flip(a)]. given #1662 (H,wt=25): 1716 ((x / (y \ x)) \ 1) \ ((y \ x) / x) = ((y \ x) / x) * ((y \ 1) \ 1). [para(72(a,1),1715(a,1,2,1,1)),flip(a)]. given #1663 (H,wt=21): 1717 ((x \ y) / y) * ((x \ 1) \ 1) = (x \ 1) \ ((x \ y) / y). [para(72(a,1),1716(a,1,1,1)),flip(a)]. given #1664 (H,wt=13): 1719 T(x,(x \ y) / y) = (x \ 1) \ 1. [hyper(215,a,1465,a(flip),b,1717,a)]. given #1665 (H,wt=13): 1720 T(x,y / (x * y)) = (x \ 1) \ 1. [para(4(a,1),1719(a,1,2,1))]. given #1666 (H,wt=13): 1722 T(x,y / (x * y)) = T(x,x \ 1). [hyper(272,a,99,a,b,1720,a),flip(a)]. given #1667 (H,wt=14): 1723 T(x,R(1 / x,x,y)) = (x \ 1) \ 1. [para(202(a,2),1720(a,1,2))]. given #1668 (H,wt=13): 1725 x \ ((x \ 1) \ 1) = x * (1 / x). [para(1723(a,1),927(a,1,2))]. given #1669 (H,wt=13): 1726 x \ ((x \ 1) \ 1) = K(x,1 / x). [hyper(272,a,234,a,b,1725,a),flip(a)]. given #1670 (H,wt=15): 1721 T(x / y,y / x) = ((x / y) \ 1) \ 1. [para(74(a,1),1719(a,1,2,1))]. given #1671 (H,wt=15): 1728 K((x \ 1) \ 1,x \ 1) = K(x,1 / x). [hyper(58,a,636,a,b,1726,a)]. given #1672 (H,wt=15): 1729 T(x / y,y / x) = T(x / y,x \ y). [hyper(272,a,1655,a,b,1721,a),flip(a)]. given #1673 (H,wt=17): 1731 T(T(x / y,x \ y),y) = T(y \ x,y / x). [para(1729(a,1),222(a,1,1))]. given #1674 (H,wt=15): 1732 T(x \ y,x / y) = T(x \ y,y \ x). [hyper(58,a,222,a(flip),b,1731,a),flip(a)]. given #1675 (H,wt=15): 1733 T(x \ y,x / y) = ((x \ y) \ 1) \ 1. [hyper(272,a,1551,a(flip),b,1732,a),flip(a)]. given #1676 (H,wt=22): 1730 T(x / (y * x),(y * x) / x) = (R(1 / y,y,x) \ 1) \ 1. [para(202(a,2),1721(a,2,1,1))]. given #1677 (H,wt=18): 1734 T(x / (y * x),y) = (R(1 / y,y,x) \ 1) \ 1. [para(6(a,1),1730(a,1,2))]. given #1678 (H,wt=17): 1735 (R(1 / x,x,y) \ 1) \ 1 = R(x \ 1,x,y). [hyper(58,a,562,a(flip),b,1734,a),flip(a)]. given #1679 (H,wt=16): 1736 R(x \ 1,x,y) = ((y / (x * y)) \ 1) \ 1. [para(202(a,1),1735(a,1,1,1)),flip(a)]. given #1680 (H,wt=25): 1724 K((x / (y * x)) \ 1,x / (y * x)) * (y * x) = T(y,y \ 1) * x. [para(1722(a,1),1085(a,2,1))]. given #1681 (H,wt=29): 1737 K(1 / R(1 / x,x,y),R(1 / x,x,y)) = R(x \ 1,x,y) \ R(1 / x,x,y). [para(1735(a,1),1066(a,1,1)),flip(a)]. given #1682 (H,wt=24): 1739 K(1 / R(1 / x,x,y),R(1 / x,x,y)) != z | K(x,1 / x) = z. [para(1737(a,2),1697(a,1))]. given #1683 (H,wt=30): 1417 x \ ((L(x \ 1,y,z) * x) / L(x \ 1,y,z)) = K(L(x \ 1,y,z),1 / (x \ 1)). [para(577(a,1),1414(a,1,2)),flip(a)]. given #1684 (H,wt=26): 1740 x \ ((L(x \ 1,y,z) * x) / L(x \ 1,y,z)) = K(L(x \ 1,y,z),x). [para(72(a,1),1417(a,2,2))]. given #1685 (H,wt=20): 1742 x \ L(x,L(x \ 1,y,z),x) = K(L(x \ 1,y,z),x). [para(898(a,1),1740(a,1,2))]. given #1686 (H,wt=19): 1743 x \ L(x,(y * x) \ y,x) = K(L(x \ 1,x,y),x). [para(200(a,1),1742(a,1,2,2))]. given #1687 (H,wt=16): 1744 K(L(x \ 1,x,y),x) = x \ (1 / (1 / x)). [para(1564(a,1),1743(a,1,2)),flip(a)]. given #1688 (H,wt=14): 1745 K(L(x \ 1,x,y),x) = K(x \ 1,x). [hyper(272,a,955,a(flip),b,1744,a),flip(a)]. given #1689 (H,wt=13): 1747 K((x * y) \ x,y) = K(y \ 1,y). [para(200(a,1),1745(a,1,1))]. given #1690 (H,wt=13): 1749 K((x * y) \ x,y) = K(1 / y,y). [hyper(272,a,1065,a,b,1747,a),flip(a)]. given #1691 (H,wt=17): 1748 K((x \ y) \ 1,x \ y) = K(y \ x,x \ y). [para(327(a,1),1745(a,1,1)),flip(a)]. given #1692 (H,wt=17): 1751 (x * y) * K(y \ 1,y) = x * (1 / (1 / y)). [para(1747(a,1),1677(a,1,2))]. given #1693 (H,wt=17): 1752 (x * y) * K(1 / y,y) = x * (1 / (1 / y)). [para(1749(a,1),1677(a,1,2))]. given #1694 (H,wt=10): 1758 R(x,y,K(1 / y,y)) = x. [hyper(1068,a,1752,a)]. given #1695 (H,wt=12): 1759 R(x,y \ 1,K(y,y \ 1)) = x. [para(72(a,1),1758(a,1,3,1))]. given #1696 (H,wt=12): 1760 R(x,y \ 1,y * (1 / y)) = x. [para(1050(a,1),1759(a,1,3))]. given #1697 (H,wt=17): 1755 (x / y) * (1 / (1 / y)) = x * K(y \ 1,y). [hyper(278,a,1751,a),flip(a)]. given #1698 (H,wt=17): 1761 (x * (y \ 1)) * (y * (1 / y)) = x * (1 / y). [para(1760(a,1),975(a,1,1)),flip(a)]. given #1699 (H,wt=17): 1762 (x * K(y \ 1,y)) \ (x * (1 / (1 / y))) = y. [para(1755(a,1),1393(a,1,1))]. given #1700 (H,wt=10): 1765 L(x,K(x \ 1,x),y) = x. [hyper(970,a,1762,a)]. given #1701 (H,wt=14): 1766 L(x \ 1,K(x,1 / x),y) = x \ 1. [para(1728(a,1),1765(a,1,2))]. given #1702 (H,wt=17): 1763 (x * (1 / x)) * (y * (x \ 1)) = y * (1 / x). [hyper(58,a,1640,a,b,1761,a)]. given #1703 (H,wt=17): 1764 (x * (y \ 1)) * K(y,y \ 1) = x * (1 / y). [para(1050(a,2),1761(a,1,2))]. given #1704 (H,wt=14): 1772 x * (1 / x) != y | K(x,x \ 1) = y. [para(1764(a,1),191(a,1))]. given #1705 (H,wt=14): 1774 K(x,1 / x) != y | K(x,x \ 1) = y. [para(234(a,2),1772(a,1))]. given #1706 (H,wt=17): 1767 (x * K(y,1 / y)) \ (x * (1 / y)) = y \ 1. [hyper(58,a,443,a,b,1766,a)]. given #1707 (H,wt=17): 1768 (x * K(y,1 / y)) * (y \ 1) = x * (1 / y). [hyper(114,a,1766,a(flip),b,443,a)]. given #1708 (H,wt=17): 1770 K(x,x \ 1) * (y * (x \ 1)) = y * (1 / x). [para(1050(a,2),1763(a,1,1))]. given #1709 (H,wt=17): 1776 (x / (1 / y)) * K(y,1 / y) = x / (y \ 1). [para(1767(a,1),273(a,1,2)),flip(a)]. given #1710 (H,wt=17): 1777 (x * K(y,y \ 1)) * (y \ 1) = x * (1 / y). [para(1052(a,1),1768(a,1,1,2))]. given #1711 (H,wt=17): 1780 (K(x,x \ 1) * y) * (x \ 1) = y * (1 / x). [para(1635(a,2),1777(a,1,1))]. given #1712 (H,wt=18): 1756 (1 / x) * (1 / (1 / x)) != y | K(x \ 1,x) = y. [para(1751(a,1),192(a,1))]. given #1713 (H,wt=18): 1778 x * (1 / x) != y * z | y \ K(x,x \ 1) = z. [para(1770(a,1),340(a,1))]. given #1714 (H,wt=19): 1750 K(T(x,y) \ 1,T(x,y)) = K((x * y) \ y,T(x,y)). [para(98(a,1),1747(a,1,1,1)),flip(a)]. given #1715 (H,wt=19): 1754 x \ (y * K(x \ y,y \ x)) = T(x \ y,y \ x). [para(1748(a,1),1078(a,1,2,2))]. given #1716 (H,wt=19): 1779 T(x \ (x / (1 / y)),1 / y) = x \ (x / (y \ 1)). [para(1776(a,1),884(a,1,2)),flip(a)]. given #1717 (H,wt=19): 1781 x * K(y \ x,x \ y) = y * (((y \ x) \ 1) \ 1). [hyper(114,a,1551,a(flip),b,1754,a),flip(a)]. given #1718 (H,wt=19): 1782 1 / (x \ (x / (y \ 1))) = (x \ (x / (1 / y))) \ 1. [para(1779(a,1),1556(a,1,2))]. given #1719 (H,wt=19): 1783 K(x \ y,y \ x) * y = x * (((x \ y) \ 1) \ 1). [hyper(58,a,1675,a,b,1781,a)]. given #1720 (H,wt=19): 1784 1 / (x \ (x / ((y \ 1) \ 1))) = (x \ (x / y)) \ 1. [para(72(a,1),1782(a,2,1,2,2))]. given #1721 (H,wt=17): 1787 T(x \ (x / y),y) = x \ (x / ((y \ 1) \ 1)). [hyper(31,a,1556,a,b,1784,a)]. given #1722 (H,wt=17): 1789 x * T(x \ (x / y),y) = x / ((y \ 1) \ 1). [hyper(114,a,1787,a,b,xx)]. given #1723 (H,wt=17): 1790 (x / y) * K(y \ 1,y) = x / ((y \ 1) \ 1). [hyper(58,a,885,a,b,1789,a)]. given #1724 (H,wt=17): 1791 (x * y) / ((y \ 1) \ 1) = x * K(y \ 1,y). [para(6(a,1),1790(a,1,1)),flip(a)]. given #1725 (H,wt=17): 1793 (x * K(y \ 1,y)) * ((y \ 1) \ 1) = x * y. [hyper(125,a,1791,a)]. given #1726 (H,wt=19): 1786 ((x \ (x / y)) \ 1) \ 1 = x \ (x / ((y \ 1) \ 1)). [hyper(172,a,1784,a)]. given #1727 (H,wt=19): 1788 x * (((x \ (x / y)) \ 1) \ 1) = x / ((y \ 1) \ 1). [para(1784(a,1),175(a,1,2,1))]. given #1728 (H,wt=19): 1797 x / (((y \ x) \ 1) \ 1) = x * (((x \ y) \ 1) \ 1). [para(72(a,1),1788(a,1,2,1,1,2)),flip(a)]. given #1729 (H,wt=20): 1771 x * K(y,y \ 1) != z * (1 / y) | z * (y \ 1) = x. [para(1764(a,1),39(a,1)),flip(a)]. given #1730 (H,wt=20): 1792 (1 / x) * K(x \ 1,x) != y * z | y \ (x \ 1) = z. [para(1790(a,2),297(a,1))]. given #1731 (H,wt=20): 1794 (x * K(y \ 1,y)) * ((y \ 1) \ 1) != z * y | x = z. [para(1791(a,1),123(a,1,1))]. given #1732 (H,wt=20): 1795 x * ((y \ 1) \ 1) != z * y | z * K(y \ 1,y) = x. [para(1793(a,1),39(a,1)),flip(a)]. given #1733 (H,wt=21): 1753 K(((x * y) \ x) \ 1,(x * y) \ x) = K(y,(x * y) \ x). [hyper(272,a,575,a(flip),b,1748,a),flip(a)]. given #1734 (H,wt=19): 1798 (x * y) * K(y,(x * y) \ x) = x * ((y \ 1) \ 1). [para(1753(a,1),1552(a,1,2))]. given #1735 (H,wt=17): 1799 (x * y) * K(y,y \ 1) = x * ((y \ 1) \ 1). [para(1669(a,1),1798(a,1,2))]. given #1736 (H,wt=17): 1800 (x * y) * K(y,y \ 1) = x * T(y,y \ 1). [hyper(272,a,269,a,b,1799,a),flip(a)]. given #1737 (H,wt=17): 1801 (x * K(y,y \ 1)) * y = x * ((y \ 1) \ 1). [hyper(58,a,1513,a,b,1799,a)]. given #1738 (H,wt=15): 1805 (x * K(y \ 1,y)) * K(y,y \ 1) = x. [hyper(30,a,1793,a(flip),b,1801,a),flip(a)]. given #1739 (H,wt=15): 1806 (x * K(y,y \ 1)) * K(y \ 1,y) = x. [hyper(1795,a,1801,a(flip))]. given #1740 (H,wt=15): 1808 K(x,x \ 1) * (y * K(x \ 1,x)) = y. [hyper(1641,a,1805,a)]. given #1741 (H,wt=15): 1809 x / K(y \ 1,y) = x * K(y,y \ 1). [hyper(278,a,1805,a),flip(a)]. given #1742 (H,wt=15): 1810 (K(x,x \ 1) * y) * K(x \ 1,x) = y. [hyper(30,a,1635,a(flip),b,1805,a),flip(a)]. given #1743 (H,wt=15): 1811 (K(x \ 1,x) * y) * K(x,x \ 1) = y. [para(1628(a,2),1805(a,1,1))]. given #1744 (H,wt=15): 1813 K(x \ 1,x) * (y * K(x,x \ 1)) = y. [hyper(1629,a,1806,a)]. given #1745 (H,wt=15): 1815 K(x \ 1,x) * (K(x,x \ 1) * y) = y. [hyper(1654,a,1808,a)]. given #1746 (H,wt=15): 1816 K(x,x \ 1) * (K(x \ 1,x) * y) = y. [hyper(58,a,1644,a,b,1808,a)]. given #1747 (H,wt=15): 1817 K(x,x \ 1) \ y = K(x \ 1,x) * y. [hyper(112,a,1808,a(flip),b,1644,a)]. given #1748 (H,wt=15): 1818 x / K(y \ 1,y) = K(y,y \ 1) * x. [para(7(a,1),1808(a,1,2)),flip(a)]. given #1749 (H,wt=15): 1820 K(x \ 1,x) \ y = K(x,x \ 1) * y. [hyper(112,a,1810,a(flip),b,1628,a)]. given #1750 (H,wt=15): 1826 K(x \ 1,x) * (y * (x * (1 / x))) = y. [para(1050(a,1),1813(a,1,2,2))]. given #1751 (H,wt=15): 1828 K(x \ 1,x) * ((x * (1 / x)) * y) = y. [para(1050(a,1),1815(a,1,2,1))]. given #1752 (H,wt=15): 1829 (x * (1 / x)) \ y = K(x \ 1,x) * y. [para(1050(a,1),1817(a,1,1))]. given #1753 (H,wt=15): 1832 K(x \ 1,x) \ y = (x * (1 / x)) * y. [para(1050(a,1),1820(a,2,1))]. given #1754 (H,wt=17): 1802 (x * y) * (y * (1 / y)) = x * ((y \ 1) \ 1). [para(1050(a,1),1799(a,1,2))]. given #1755 (H,wt=17): 1807 (x * (1 / y)) * K(y \ 1,y) = x * (y \ 1). [hyper(1771,a,1805,a),flip(a)]. given #1756 (H,wt=14): 1835 R(x,y \ 1,y) / y = x * (1 / y). [hyper(1354,a,1807,a)]. given #1757 (H,wt=14): 1837 R(x / (1 / y),y \ 1,y) = x * y. [hyper(277,a,1835,a),flip(a)]. given #1758 (H,wt=16): 1838 x \ R(y,x \ 1,x) = T(y * (1 / x),x). [para(1835(a,1),100(a,1,1)),flip(a)]. given #1759 (H,wt=17): 1812 (x * (1 / (1 / y))) * K(y,y \ 1) = x * y. [para(1751(a,1),1805(a,1,1))]. given #1760 (H,wt=17): 1822 K(x \ 1,x) * (y * (1 / x)) = y * (x \ 1). [hyper(1771,a,1811,a),flip(a)]. given #1761 (H,wt=17): 1823 K(x \ 1,x) * (y * T(x,x \ 1)) = y * x. [hyper(30,a,1800,a,b,1811,a),flip(a)]. given #1762 (H,wt=17): 1836 (x / (1 / y)) * (y \ 1) = x * K(y \ 1,y). [hyper(278,a,1807,a),flip(a)]. given #1763 (H,wt=17): 1839 (x / (1 / (1 / y))) * y = x * K(y,y \ 1). [hyper(278,a,1812,a),flip(a)]. given #1764 (H,wt=17): 1840 (x * (y \ 1)) / (1 / y) = x * K(y \ 1,y). [hyper(1265,a,1836,a)]. given #1765 (H,wt=17): 1841 (x / (y \ 1)) * K(y \ 1,y) = x / (1 / y). [hyper(1263,a,1836,a),flip(a)]. given #1766 (H,wt=17): 1842 (x / (1 / (1 / y))) * y = K(y,y \ 1) * x. [hyper(272,a,1635,a,b,1839,a),flip(a)]. given #1767 (H,wt=18): 1814 x * K(y \ 1,y) != z | z * K(y,y \ 1) = x. [para(1806(a,1),39(a,1)),flip(a)]. given #1768 (H,wt=18): 1819 (x * K(y,y \ 1)) * K(y \ 1,y) != z | x = z. [para(1809(a,1),227(a,1,1))]. given #1769 (H,wt=18): 1821 x * K(y \ 1,y) != z | K(y,y \ 1) * z = x. [para(1810(a,1),39(a,1)),flip(a)]. given #1770 (H,wt=18): 1824 x * K(y,y \ 1) != z | K(y \ 1,y) * z = x. [para(1811(a,1),39(a,1)),flip(a)]. given #1771 (H,wt=18): 1825 K(x \ 1,x) * y != z | z * K(x,x \ 1) = y. [para(1813(a,1),38(a,1)),flip(a)]. given #1772 (H,wt=18): 1827 K(x \ 1,x) * y != z | K(x,x \ 1) * z = y. [para(1815(a,1),38(a,1)),flip(a)]. given #1773 (H,wt=18): 1833 K(x \ 1,x) * (y / (x * y)) = R(x \ 1,x,y). [para(1693(a,2),1826(a,1,2))]. given #1774 (H,wt=13): 1845 K(x / (y * x),y) = K(y \ 1,y). [hyper(30,a,1702,a,b,1833,a)]. given #1775 (H,wt=17): 1846 K((x / y) \ 1,x / y) = K(y / x,x / y). [para(7(a,1),1845(a,1,1,2)),flip(a)]. given #1776 (H,wt=18): 1834 K(x \ 1,x) * y != z | (x * (1 / x)) * z = y. [para(1828(a,1),38(a,1)),flip(a)]. given #1777 (H,wt=19): 1849 K(x / y,y / x) * x = y * T(y \ x,y / x). [para(1846(a,1),1080(a,1,1))]. given #1778 (H,wt=19): 1850 K(x / y,y / x) * x = y * (((y \ x) \ 1) \ 1). [para(1733(a,1),1849(a,2,2))]. given #1779 (H,wt=15): 1851 K(x / y,y / x) = K(y \ x,x \ y). [hyper(30,a,1783,a,b,1850,a),flip(a)]. given #1780 (H,wt=20): 1804 x * T(y,y \ 1) != z * K(y,y \ 1) | x * y = z. [para(1800(a,1),39(a,1))]. given #1781 (H,wt=20): 1843 R(x * K(y \ 1,y),y \ 1,y) = (x * (y \ 1)) * y. [para(1840(a,1),1837(a,1,1))]. given #1782 (H,wt=21): 1844 K(x \ 1,x) * (y / (x * y)) = ((y / (x * y)) \ 1) \ 1. [hyper(272,a,1736,a(flip),b,1833,a),flip(a)]. given #1783 (H,wt=19): 1853 K(x / (y * x),(x / (y * x)) \ 1) = K(y \ 1,y). [hyper(30,a,1060,a,b,1844,a)]. given #1784 (H,wt=21): 1848 K((x / (y * x)) \ 1,x / (y * x)) = K(y,x / (y * x)). [para(6(a,1),1846(a,2,1))]. given #1785 (H,wt=21): 1854 K(1 / (x / (y * x)),x / (y * x)) = K(y,x / (y * x)). [hyper(58,a,1065,a,b,1848,a)]. given #1786 (H,wt=22): 1785 x * (((x \ y) \ 1) \ 1) != z * y | K(x \ y,y \ x) = z. [para(1783(a,1),39(a,1))]. given #1787 (H,wt=22): 1796 x \ (x / ((y \ 1) \ 1)) != z \ 1 | (x \ (x / y)) \ 1 = z. [para(1786(a,1),43(a,1))]. given #1788 (H,wt=22): 1830 (K(x,x \ 1) * y) * K(x \ 1,x) != z * u | z \ y = u. [para(1818(a,1),282(a,1,1))]. given #1789 (H,wt=22): 1831 K(x,x \ 1) * (y * K(x \ 1,x)) != z * u | z \ y = u. [para(1818(a,1),492(a,1))]. given #1790 (H,wt=22): 1855 K(1 / (x / (y * x)),R(1 / y,y,x)) = K(y,x / (y * x)). [para(202(a,2),1854(a,1,2))]. given #1791 (H,wt=23): 1856 K(1 / R(1 / x,x,y),R(1 / x,x,y)) = K(x,y / (x * y)). [para(202(a,2),1855(a,1,1,2))]. given #1792 (H,wt=13): 1857 K(x,y / (x * y)) = K(x,1 / x). [hyper(1739,a,1856,a),flip(a)]. given #1793 (H,wt=13): 1858 K(x,y / (x * y)) = K(x,x \ 1). [hyper(272,a,1052,a(flip),b,1857,a),flip(a)]. given #1794 (H,wt=17): 1860 K(x / y,(x / y) \ 1) = K(x / y,y / x). [para(7(a,1),1858(a,1,2,2)),flip(a)]. given #1795 (H,wt=17): 1861 K(x / y,(x / y) \ 1) = K(y \ x,x \ y). [hyper(272,a,1851,a(flip),b,1860,a),flip(a)]. given #1796 (H,wt=17): 1862 K((x * y) \ y,y \ (x * y)) = K(x \ 1,x). [hyper(58,a,1853,a(flip),b,1861,a),flip(a)]. given #1797 (H,wt=15): 1863 K((x * y) \ y,T(x,y)) = K(x \ 1,x). [para(17(a,2),1862(a,1,2))]. given #1798 (H,wt=15): 1864 K(T(x,y) \ 1,T(x,y)) = K(x \ 1,x). [hyper(58,a,1750,a,b,1863,a)]. given #1799 (H,wt=15): 1866 K(x \ 1,x) / T(x,y) = T(x,y) \ 1. [hyper(113,a,1864,a(flip),b,232,a(flip))]. given #1800 (H,wt=13): 1867 T(1 / T(x,y),x) = T(x,y) \ 1. [hyper(58,a,1625,a(flip),b,1866,a)]. given #1801 (H,wt=13): 1868 (T(x,y) \ x) / x = 1 / T(x,y). [hyper(702,a,1867,a)]. given #1802 (H,wt=13): 1869 x \ (x / T(x,y)) = T(x,y) \ 1. [hyper(58,a,407,a(flip),b,1867,a)]. given #1803 (H,wt=11): 1871 x / T(x,y) = T(x,y) \ x. [hyper(33,a,691,a,b,1869,a),flip(a)]. given #1804 (H,wt=11): 1872 (T(x,y) \ x) \ x = T(x,y). [hyper(172,a,1871,a)]. given #1805 (H,wt=11): 1873 (T(x,y) \ x) * T(x,y) = x. [hyper(125,a,1871,a)]. given #1806 (H,wt=10): 1876 L(x,T(x,y) \ x,x) = x. [hyper(58,a,1713,a,b,1873,a)]. given #1807 (H,wt=13): 1870 x * (T(x,y) \ 1) = x / T(x,y). [hyper(114,a,1867,a(flip),b,407,a(flip))]. given #1808 (H,wt=13): 1874 T(T(x,y),T(x,y) \ x) = T(x,y). [hyper(31,a,239,a,b,1871,a)]. given #1809 (H,wt=11): 1880 K(T(x,y),T(x,y) \ x) = 1. [hyper(50,a,1874,a)]. given #1810 (H,wt=13): 1878 (x * y) * T(K(y,x),x) = y * x. [para(1876(a,1),1712(a,1,2)),flip(a)]. given #1811 (H,wt=9): 1881 T(K(x,y),y) = K(x,y). [hyper(261,a,1878,a),flip(a)]. given #1812 (H,wt=7): 1883 T(x,K(y,x)) = x. [hyper(49,a,1881,a)]. given #1813 (H,wt=7): 1888 T(x,K(x,y)) = x. [para(28(a,1),1883(a,1,2))]. given #1814 (H,wt=9): 1892 T(x,y \ T(y,x)) = x. [para(887(a,1),1883(a,1,2))]. given #1815 (H,wt=9): 1894 T(x,K(T(x,y),z)) = x. [hyper(130,a,1888,a)]. given #1816 (H,wt=9): 1895 T(K(x,y),x) = K(x,y). [hyper(49,a,1888,a)]. given #1817 (H,wt=11): 1882 (x * K(y,x)) / x = K(y,x). [hyper(242,a,1881,a)]. given #1818 (H,wt=11): 1884 K(x,y) * y = y * K(x,y). [hyper(114,a,1881,a(flip),b,17,a(flip)),flip(a)]. given #1819 (H,wt=11): 1887 T(T(x,y),K(z,x)) = T(x,y). [para(1883(a,1),18(a,1,1)),flip(a)]. given #1820 (H,wt=11): 1893 T(x,x \ ((y * x) / y)) = x. [para(1254(a,1),1883(a,1,2))]. given #1821 (H,wt=11): 1896 T(T(x,y),K(x,z)) = T(x,y). [para(1888(a,1),18(a,1,1)),flip(a)]. given #1822 (H,wt=11): 1899 T(x,y \ ((x * y) / x)) = x. [para(1414(a,1),1888(a,1,2))]. given #1823 (H,wt=9): 1908 T(x,T(y,x) \ y) = x. [para(206(a,1),1899(a,1,2,2))]. given #1824 (H,wt=11): 1905 T(K(x,y),T(y,z)) = K(x,y). [hyper(49,a,1887,a)]. given #1825 (H,wt=13): 1897 T(R(x,y,z),K(x,u)) = R(x,y,z). [para(1888(a,1),22(a,1,1)),flip(a)]. given #1826 (H,wt=12): 1912 T(K(x,y),R(x,z,u)) = K(x,y). [hyper(49,a,1897,a)]. given #1827 (H,wt=13): 1901 T(x / y,K(y \ x,z)) = x / y. [para(100(a,1),1894(a,1,2,1))]. given #1828 (H,wt=13): 1902 K(x,y) * (x \ 1) = x \ K(x,y). [para(1895(a,1),676(a,1,1))]. given #1829 (H,wt=13): 1909 T(T(x,y) \ x,y) = T(x,y) \ x. [hyper(49,a,1908,a)]. given #1830 (H,wt=11): 1916 K(K(x,y),T(z,y) \ z) = 1. [para(1909(a,1),1505(a,1,2))]. given #1831 (H,wt=13): 1914 (x \ 1) * K(x,y) = x \ K(x,y). [hyper(933,a,1902,a)]. given #1832 (H,wt=13): 1917 K(x \ T(x,y),T(z,y) \ z) = 1. [para(887(a,1),1916(a,1,1))]. given #1833 (H,wt=14): 1885 x * K(y,x) != z | K(y,x) * x = z. [para(1881(a,1),248(a,1,2))]. given #1834 (H,wt=14): 1886 (x * K(y,x)) / x != z | K(y,x) = z. [para(1881(a,1),281(a,1,1,2))]. given #1835 (H,wt=14): 1889 K(x,y) * y != z | y * K(x,y) = z. [para(1883(a,1),248(a,1,2))]. given #1836 (H,wt=15): 1898 T(x,y) * K(x,z) = K(x,z) * T(x,y). [para(1888(a,1),212(a,1,2,1)),flip(a)]. given #1837 (H,wt=15): 1906 ((x * y) / x) / y = y \ ((x * y) / x). [para(1893(a,1),239(a,1,2))]. given #1838 (H,wt=15): 1910 (T(x,y) \ x) * y = y * (T(x,y) \ x). [hyper(114,a,1908,a(flip),b,17,a(flip))]. given #1839 (H,wt=15): 1919 1 / (x \ T(x,y)) = (x \ T(x,y)) \ 1. [para(1917(a,1),1672(a,1,2)),flip(a)]. given #1840 (H,wt=16): 1879 x / T(x,y) != x * z | T(x,y) \ 1 = z. [para(1870(a,1),38(a,1))]. given #1841 (H,wt=16): 1918 x \ K(x,y) != z * K(x,y) | x \ 1 = z. [para(1914(a,1),39(a,1))]. given #1842 (H,wt=18): 1890 K(x,y) * T(y,z) != u | T(y,z) * K(x,y) = u. [para(1883(a,1),342(a,1,2,1))]. given #1843 (H,wt=18): 1900 (x \ T(x,y)) * y != z | y * (x \ T(x,y)) = z. [para(1892(a,1),248(a,1,2))]. given #1844 (H,wt=18): 1911 K(x,y) != T(y,z) \ u | K(x,y) * T(y,z) = u. [para(1905(a,1),128(a,1))]. given #1845 (H,wt=19): 1859 K((x / (y * x)) \ 1,x / (y * x)) = K(y,y \ 1). [hyper(58,a,1848,a,b,1858,a)]. given #1846 (H,wt=17): 1923 K((x * y) / y,y / (x * y)) = K(x,x \ 1). [hyper(58,a,1846,a(flip),b,1859,a)]. given #1847 (H,wt=17): 1924 K(x,x \ 1) * (x * y) = T(x,x \ 1) * y. [para(1859(a,1),1724(a,1,1))]. given #1848 (H,wt=10): 1926 L(x,y,K(y,y \ 1)) = x. [hyper(1061,a,1924,a(flip))]. given #1849 (H,wt=12): 1929 L(x,1 / y,K(y \ 1,y)) = x. [para(1053(a,1),1926(a,1,3))]. given #1850 (H,wt=14): 1930 L(x,1 / (1 / y),K(y,y \ 1)) = x. [para(1070(a,1),1926(a,1,3))]. given #1851 (H,wt=17): 1925 K(x \ (y * x),(y * x) \ x) = K(y,y \ 1). [hyper(58,a,1851,a(flip),b,1923,a)]. given #1852 (H,wt=15): 1935 K(T(x,y),(x * y) \ y) = K(x,x \ 1). [para(17(a,2),1925(a,1,1))]. given #1853 (H,wt=15): 1936 K(T(x,y),T(x,y) \ 1) = K(x,x \ 1). [hyper(58,a,1671,a,b,1935,a)]. given #1854 (H,wt=15): 1938 T(x,y) \ K(x,x \ 1) = 1 / T(x,y). [hyper(112,a,1936,a(flip),b,1050,a(flip))]. given #1855 (H,wt=15): 1939 T(x,y) \ (1 / x) = x \ (1 / T(x,y)). [hyper(112,a,1938,a(flip),b,1054,a(flip)),flip(a)]. given #1856 (H,wt=17): 1927 (x * (1 / x)) * (x * y) = T(x,x \ 1) * y. [para(1050(a,1),1924(a,1,1))]. given #1857 (H,wt=17): 1931 K(x \ 1,x) * ((x \ 1) \ y) = (1 / x) \ y. [hyper(58,a,1517,a(flip),b,1929,a)]. given #1858 (H,wt=17): 1932 (x \ 1) \ (K(x \ 1,x) * y) = (1 / x) \ y. [hyper(58,a,959,a(flip),b,1929,a)]. given #1859 (H,wt=17): 1933 K(x \ 1,x) * ((1 / x) * y) = (x \ 1) * y. [para(1929(a,1),958(a,1,2)),flip(a)]. given #1860 (H,wt=14): 1949 (1 / x) * (x * y) = L(y,x,x \ 1). [hyper(731,a,1933,a),flip(a)]. given #1861 (H,wt=15): 1950 L(x \ 1,x,x \ 1) != y | 1 / x = y. [para(1949(a,1),194(a,1))]. given #1862 (H,wt=17): 1934 K(x,x \ 1) * ((1 / (1 / x)) * y) = x * y. [para(1930(a,1),1062(a,1,2)),flip(a)]. given #1863 (H,wt=17): 1940 T(x,x \ 1) * (x \ y) = (x * (1 / x)) * y. [hyper(288,a,1927,a),flip(a)]. given #1864 (H,wt=17): 1941 (x * (1 / x)) * ((1 / x) \ y) = (x \ 1) \ y. [hyper(1834,a,1931,a)]. given #1865 (H,wt=17): 1942 ((1 / x) \ y) * K(x,x \ 1) = (x \ 1) \ y. [hyper(1825,a,1931,a)]. given #1866 (H,wt=17): 1946 (x * (1 / x)) * ((x \ 1) * y) = (1 / x) * y. [hyper(1834,a,1933,a)]. given #1867 (H,wt=17): 1947 K(x,x \ 1) * ((x \ 1) * y) = (1 / x) * y. [hyper(1827,a,1933,a)]. given #1868 (H,wt=17): 1948 ((x \ 1) * y) * K(x,x \ 1) = (1 / x) * y. [hyper(1825,a,1933,a)]. given #1869 (H,wt=17): 1951 (1 / (1 / x)) * (K(x,x \ 1) * y) = x * y. [hyper(1432,a,1934,a),flip(a)]. given #1870 (H,wt=17): 1952 (x * (1 / x)) * (((x \ 1) \ 1) \ y) = x \ y. [hyper(58,a,1013,a(flip),b,1940,a),flip(a)]. given #1871 (H,wt=17): 1953 (x \ 1) * ((x * (1 / x)) * y) = (1 / x) * y. [hyper(799,a,1941,a(flip))]. given #1872 (H,wt=17): 1955 (1 / x) * ((x \ 1) \ y) = K(x,x \ 1) * y. [hyper(288,a,1947,a),flip(a)]. given #1873 (H,wt=17): 1956 x * (K(x \ 1,x) * y) = (1 / (1 / x)) * y. [para(1816(a,1),1951(a,1,2)),flip(a)]. given #1874 (H,wt=17): 1957 K(x \ 1,x) * (x \ y) = ((x \ 1) \ 1) \ y. [hyper(114,a,1952,a(flip),b,1832,a)]. given #1875 (H,wt=17): 1958 K(x,x \ 1) * (((x \ 1) \ 1) \ y) = x \ y. [para(1050(a,2),1952(a,1,1))]. given #1876 (H,wt=17): 1959 ((1 / (1 / x)) * y) / (K(x \ 1,x) * y) = x. [hyper(122,a,1956,a)]. given #1877 (H,wt=10): 1960 R(x,K(x \ 1,x),y) = x. [hyper(969,a,1959,a)]. given #1878 (H,wt=10): 1961 R(x,K(x,x \ 1),y) = x. [para(28(a,1),1960(a,1,2))]. given #1879 (H,wt=14): 1962 R(1 / x,K(x \ 1,x),y) = 1 / x. [para(1053(a,1),1961(a,1,2))]. given #1880 (H,wt=19): 1891 T(T(x,y),z) * K(u,x) = K(u,x) * T(T(x,y),z). [para(1883(a,1),388(a,1,2,1,1)),flip(a)]. given #1881 (H,wt=19): 1903 x \ ((y * K(x,z)) / x) = (x \ y) * (x \ K(x,z)). [para(1895(a,1),1148(a,1,2,1,2))]. given #1882 (H,wt=20): 1904 (x * K(y,x)) * L(z,x,K(y,x)) = K(y,x) * (x * z). [para(1884(a,1),87(a,1,1))]. given #1883 (H,wt=20): 1921 T(x,R(T(y,x),T(y,x) \ 1,x)) = x * (T(y,x) \ y). [hyper(58,a,1377,a,b,1910,a)]. given #1884 (H,wt=21): 1920 (x \ 1) * (x * ((y * (x \ 1)) / y)) = (y * (x \ 1)) / y. [hyper(114,a,1295,a(flip),b,1906,a(flip))]. given #1885 (H,wt=21): 1954 (x * (1 / x)) * (y * (x \ 1)) = (1 / x) * T(y,x \ 1). [para(98(a,1),1946(a,1,2))]. given #1886 (H,wt=11): 1967 T(x,1 / y) = T(x,y \ 1). [hyper(215,a,1763,a(flip),b,1954,a(flip))]. given #1887 (H,wt=11): 1970 T(x,(y \ 1) \ 1) = T(x,y). [para(72(a,1),1967(a,1,2)),flip(a)]. given #1888 (H,wt=11): 1974 T(x,T(y,y \ 1)) = T(x,y). [para(99(a,2),1970(a,1,2))]. given #1889 (H,wt=13): 1972 T(x,y \ 1) * y = (1 / y) \ x. [para(1967(a,1),673(a,1,1))]. given #1890 (H,wt=13): 1978 ((1 / x) \ y) / x = T(y,x \ 1). [hyper(122,a,1972,a)]. given #1891 (H,wt=13): 1979 T((1 / x) * y,x \ 1) = y / x. [hyper(113,a,4,a(flip),b,1972,a),flip(a)]. given #1892 (H,wt=15): 1966 (1 / x) * T(y,x \ 1) = y * (1 / x). [hyper(58,a,1763,a(flip),b,1954,a),flip(a)]. given #1893 (H,wt=15): 1968 (1 / x) \ (y * (1 / x)) = T(y,x \ 1). [hyper(112,a,1763,a(flip),b,1954,a(flip))]. given #1894 (H,wt=14): 1986 T(x,y \ 1) != z | T(x,1 / y) = z. [para(1968(a,1),291(a,1))]. given #1895 (H,wt=15): 1980 T(T(x,y),y \ 1) = y \ ((1 / y) \ x). [hyper(30,a,747,a,b,1972,a),flip(a)]. given #1896 (H,wt=15): 1983 (x / y) / (y \ 1) = y * ((1 / y) * x). [hyper(113,a,1979,a(flip),b,378,a)]. given #1897 (H,wt=15): 1985 T(T(x,y \ 1),y) = (x * (1 / y)) * y. [para(1966(a,1),365(a,2,1))]. given #1898 (H,wt=15): 1988 T(T(x,y),y \ 1) = (x * (1 / y)) * y. [hyper(354,a,1985,a)]. given #1899 (H,wt=16): 1976 T(x,R(y \ 1,y,z)) = T(x,z / (y * z)). [para(1736(a,2),1970(a,1,2))]. given #1900 (H,wt=16): 1981 T(x,y \ 1) * y != z | (1 / y) \ x = z. [para(1978(a,1),227(a,1,1))]. given #1901 (H,wt=17): 1975 T(x,R(1 / y,y,z)) = T(x,R(y \ 1,y,z)). [para(1735(a,1),1970(a,1,2)),flip(a)]. given #1902 (H,wt=17): 1977 T(x,x \ 1) * T(y,x) = y * T(x,x \ 1). [hyper(114,a,1974,a(flip),b,17,a(flip))]. given #1903 (H,wt=15): 1991 T((x \ 1) \ y,x) = y * T(x,x \ 1). [hyper(1364,a,1977,a),flip(a)]. given #1904 (H,wt=17): 1987 x * (x * ((1 / x) * y)) = (x * (y / x)) * x. [hyper(114,a,1983,a(flip),b,693,a)]. given #1905 (H,wt=17): 1992 x * (y * T(x,x \ 1)) = ((x \ 1) \ y) * x. [hyper(114,a,1991,a(flip),b,17,a(flip))]. given #1906 (H,wt=17): 1994 x * (x * ((1 / x) * y)) = (x * x) * (x \ y). [hyper(272,a,1161,a(flip),b,1987,a),flip(a)]. given #1907 (H,wt=12): 1996 L((1 / x) * y,x,x) = x \ y. [hyper(429,a,1994,a(flip))]. given #1908 (H,wt=10): 1997 L(1 / x,x,x) = x \ 1. [para(3(a,1),1996(a,1,1))]. given #1909 (H,wt=12): 1998 x \ ((1 / x) \ y) = L(y,x,x). [para(5(a,1),1996(a,1,1)),flip(a)]. given #1910 (H,wt=12): 2000 x * L(y,x,x) = (1 / x) \ y. [hyper(127,a,1998,a)]. given #1911 (H,wt=12): 2001 T(T(x,y),y \ 1) = L(x,y,y). [hyper(58,a,1980,a,b,1998,a)]. given #1912 (H,wt=12): 2002 L(x * y,x,x) = (x \ 1) \ y. [hyper(29,a,725,a(flip),b,2000,a),flip(a)]. given #1913 (H,wt=10): 2012 L(x,x,x) = (x \ 1) \ 1. [para(3(a,1),2002(a,1,1))]. given #1914 (H,wt=10): 2015 1 / L(x,x,x) = x \ 1. [hyper(178,a,2012,a(flip))]. given #1915 (H,wt=12): 2005 (x * y) * (y \ 1) = L(x,y,y). [hyper(640,a,2001,a)]. given #1916 (H,wt=12): 2006 (x * (1 / y)) * y = L(x,y,y). [hyper(58,a,1988,a(flip),b,2001,a)]. given #1917 (H,wt=12): 2007 L(x,y,y) / y = x * (1 / y). [hyper(113,a,2001,a(flip),b,1988,a(flip))]. given #1918 (H,wt=12): 2008 L(x,y,y) / (y \ 1) = x * y. [hyper(113,a,2001,a(flip),b,413,a(flip))]. given #1919 (H,wt=12): 2009 (x * y) \ L(x,y,y) = y \ 1. [hyper(112,a,2001,a(flip),b,413,a(flip))]. given #1920 (H,wt=12): 2013 (x \ 1) \ (x \ y) = L(y,x,x). [para(5(a,1),2002(a,1,1)),flip(a)]. given #1921 (H,wt=12): 2020 L(x / (1 / y),y,y) = x * y. [hyper(278,a,2006,a),flip(a)]. given #1922 (H,wt=12): 2030 (x \ 1) * L(y,x,x) = x \ y. [hyper(127,a,2013,a)]. given #1923 (H,wt=13): 2016 (x \ 1) \ 1 != y | L(x,x,x) = y. [para(2015(a,1),290(a,1,1))]. given #1924 (H,wt=15): 2003 x \ ((1 / x) \ y) != z | L(y,x,x) = z. [para(2000(a,1),287(a,1,2))]. given #1925 (H,wt=15): 2010 L(x * y,x,x) != z | (x \ 1) \ y = z. [para(2001(a,1),699(a,1))]. given #1926 (H,wt=13): 2040 L(x,x,x) != y | (x \ 1) \ 1 = y. [para(3(a,1),2010(a,1,1))]. given #1927 (H,wt=15): 2014 L(x,y,y) != (y \ 1) \ z | y * z = x. [para(2002(a,1),45(a,1)),flip(a)]. given #1928 (H,wt=15): 2026 (x * y) * (y \ 1) != z | L(x,y,y) = z. [para(2008(a,1),227(a,1,1))]. given #1929 (H,wt=15): 2028 (x * y) \ z != y \ 1 | L(x,y,y) = z. [para(2009(a,1),42(a,1)),flip(a)]. given #1930 (H,wt=15): 2029 (x \ 1) \ (x \ y) = (y * (1 / x)) * x. [hyper(272,a,2006,a,b,2013,a),flip(a)]. given #1931 (H,wt=15): 2032 (x * y) / (y \ 1) = (x / (1 / y)) * y. [hyper(113,a,2020,a(flip),b,2005,a)]. given #1932 (H,wt=15): 2033 L(x,y,y) != z * y | z / (1 / y) = x. [para(2020(a,1),45(a,1)),flip(a)]. given #1933 (H,wt=15): 2035 x \ y != (x \ 1) * z | L(y,x,x) = z. [para(2030(a,1),38(a,1))]. given #1934 (H,wt=15): 2039 T(T(x,y),y \ 1) != z | L(x,y,y) = z. [para(1980(a,2),2003(a,1))]. given #1935 (H,wt=15): 2041 L(x,y,y) != z | (y \ 1) \ (y \ x) = z. [para(5(a,1),2010(a,1,1))]. given #1936 (H,wt=15): 2043 (x \ 1) \ y != z | L(x * y,x,x) = z. [para(723(a,1),2026(a,1))]. given #1937 (H,wt=16): 1999 L(x * (1 / y),y,y) = y \ T(x,y \ 1). [para(1966(a,1),1996(a,1,1))]. given #1938 (H,wt=16): 2004 (x * y) * L(y,x,x) = ((1 / x) \ y) * y. [para(2000(a,1),1380(a,1,1)),flip(a)]. given #1939 (H,wt=16): 2017 L(x,x \ y,x \ y) = y * ((x \ y) \ 1). [hyper(485,a,2005,a),flip(a)]. given #1940 (H,wt=17): 2011 (x * x) * ((x \ 1) \ y) = x * (x * (x * y)). [hyper(114,a,2002,a(flip),b,13,a(flip))]. given #1941 (H,wt=17): 2023 L(x,y,y) != y * z | T(x * (1 / y),y) = z. [para(2006(a,1),216(a,2)),flip(a)]. given #1942 (H,wt=17): 2034 L(x / (1 / y),y,y) != y * z | T(x,y) = z. [para(2020(a,2),216(a,2)),flip(a)]. given #1943 (H,wt=18): 1971 T(x,y \ 1) != (1 / y) \ z | z / (1 / y) = x. [para(1967(a,1),225(a,1))]. given #1944 (H,wt=18): 1984 (1 / x) * y != z * (1 / x) | T(z,x \ 1) = y. [para(1966(a,1),38(a,1)),flip(a)]. given #1945 (H,wt=18): 1989 (x * (1 / y)) * y != z | T(T(x,y \ 1),y) = z. [para(1988(a,1),354(a,1))]. given #1946 (H,wt=18): 1990 x \ T(y,R(x \ 1,x,y)) = y * ((x \ y) / y). [para(1976(a,2),925(a,1,2))]. given #1947 (H,wt=18): 1993 T(x,y) != z * T(y,y \ 1) | (y \ 1) \ z = x. [para(1991(a,1),44(a,1)),flip(a)]. given #1948 (H,wt=18): 2019 x \ ((y * (z * x)) / x) = (x \ y) * L(z,x,x). [para(2005(a,1),1136(a,1,2)),flip(a)]. given #1949 (H,wt=18): 2027 x * ((x \ y) * L(z,x,x)) = (y * (z * x)) / x. [para(2008(a,1),1164(a,1,1,2)),flip(a)]. given #1950 (H,wt=18): 2044 (x \ 1) \ (x \ y) != z * x | y * (1 / x) = z. [para(2029(a,2),39(a,1))]. given #1951 (H,wt=19): 2024 L(x / (1 / y),y,y) != z * u | (x * y) / u = z. [para(2006(a,1),531(a,1))]. given #1952 (H,wt=19): 2036 (x \ 1) \ (x \ y) != z * u | z \ L(y,x,x) = u. [para(2030(a,1),285(a,1,2))]. given #1953 (H,wt=19): 2038 x \ T(y,x \ 1) != z | L(y * (1 / x),x,x) = z. [para(1968(a,1),2003(a,1,2))]. given #1954 (H,wt=20): 1982 T(x,y \ 1) * y != z * u | ((1 / y) \ x) / u = z. [para(1978(a,1),467(a,1,1))]. given #1955 (H,wt=20): 1995 x * (x * ((1 / x) * y)) != z * x | x * (y / x) = z. [para(1987(a,2),39(a,1))]. given #1956 (H,wt=20): 2045 (x * y) / (y \ 1) != y * z | T(x / (1 / y),y) = z. [para(2032(a,2),216(a,2)),flip(a)]. given #1957 (H,wt=20): 2046 (x * x) * y != x * (x * (x * z)) | (x \ 1) \ z = y. [para(2011(a,1),38(a,1)),flip(a)]. given #1958 (H,wt=20): 2047 (x * (((y \ x) \ 1) * y)) / y = y * a(y \ x,y,y). [hyper(1205,a,2019,a),flip(a)]. given #1959 (H,wt=21): 2037 T(x \ y,y \ x) != z | L(x \ y,x \ y,x \ y) = z. [para(1551(a,2),2016(a,1))]. given #1960 (H,wt=22): 1964 K(x,y) * T(T(y,z),u) != w * K(x,y) | T(T(y,z),u) = w. [para(1891(a,1),39(a,1))]. given #1961 (H,wt=22): 2022 x * ((y * (z * (1 / x))) * x) = ((1 / x) \ y) * L(z,x,x). [para(2006(a,1),27(a,1,2)),flip(a)]. given #1962 (H,wt=23): 1875 T((T(x,y) \ x) * (x \ T(x,y)),y) = K(T(x,y),x / T(x,y)). [para(1871(a,1),1603(a,1,1,1))]. given #1963 (H,wt=23): 2018 L((x \ 1) \ y,x \ 1,z * x) = L(z,x,x) \ ((z * x) * y). [para(2005(a,1),89(a,2,1))]. given #1964 (H,wt=23): 2021 ((x * (y * (1 / z))) * z) / L(y,z,z) = R(x,y * (1 / z),z). [para(2006(a,1),15(a,2,2)),flip(a)]. given #1965 (H,wt=23): 2050 T((T(x,y) \ x) * (x \ T(x,y)),y) = K(T(x,y),T(x,y) \ x). [para(1871(a,1),1875(a,2,2))]. given #1966 (H,wt=15): 2051 T((T(x,y) \ x) * (x \ T(x,y)),y) = 1. [hyper(272,a,1880,a(flip),b,2050,a),flip(a)]. given #1967 (H,wt=13): 2053 (T(x,y) \ x) * (x \ T(x,y)) = 1. [hyper(183,a,2051,a),flip(a)]. given #1968 (H,wt=13): 2054 1 / (x \ T(x,y)) = T(x,y) \ x. [hyper(122,a,2053,a)]. given #1969 (H,wt=13): 2056 (x \ T(x,y)) \ 1 = T(x,y) \ x. [hyper(58,a,1919,a(flip),b,2054,a)]. given #1970 (H,wt=19): 2057 T(x / y,y) \ (x / y) = ((x / y) \ (y \ x)) \ 1. [para(100(a,1),2056(a,1,1,2)),flip(a)]. given #1971 (H,wt=17): 2058 ((x / y) \ (y \ x)) \ 1 = (y \ x) \ (x / y). [para(100(a,1),2057(a,1,1)),flip(a)]. given #1972 (H,wt=21): 2059 (x \ (x * y)) \ ((x * y) / x) = (((x * y) / x) \ y) \ 1. [para(4(a,1),2058(a,1,1,2)),flip(a)]. given #1973 (H,wt=17): 2060 (((x * y) / x) \ y) \ 1 = y \ ((x * y) / x). [para(4(a,1),2059(a,1,1)),flip(a)]. given #1974 (H,wt=17): 2061 1 / (x \ ((y * x) / y)) = ((y * x) / y) \ x. [hyper(178,a,2060,a)]. given #1975 (H,wt=20): 2062 1 / (x \ ((y * x) / y)) != z | ((y * x) / y) \ x = z. [para(2060(a,1),280(a,1,2))]. given #1976 (H,wt=24): 1769 (1 / x) * y != (x * (1 / x)) * (z * (x \ 1)) | T(z,1 / x) = y. [para(1763(a,2),216(a,2))]. given #1977 (H,wt=24): 1915 (x \ K(x,y)) * L(z,x \ 1,K(x,y)) = K(x,y) * ((x \ 1) * z). [para(1902(a,1),87(a,1,1))]. given #1978 (H,wt=24): 1965 (x * (y \ 1)) / x != (y \ 1) * z | y * ((x * (y \ 1)) / x) = z. [para(1920(a,1),38(a,1))]. given #1979 (H,wt=24): 2048 (x \ ((1 / x) \ y)) * L(z,x,x) = x \ ((x * ((y * z) * x)) / x). [para(27(a,1),2019(a,1,2,1)),flip(a)]. given #1980 (H,wt=25): 1907 (R(T(x,y),z,u) * K(x,w)) * v5 = (K(x,w) * R(T(x,y),z,u)) * v5. [para(1896(a,1),385(a,1,1,2,1)),flip(a)]. given #1981 (H,wt=25): 1945 K(x \ 1,x) * R(1 / x,y,z) = (x \ 1) * (x * R(x \ 1,y,z)). [hyper(114,a,862,a(flip),b,1932,a),flip(a)]. given #1982 (H,wt=19): 2063 K(x \ 1,x) * R(1 / x,y,z) = R(x \ 1,y,z). [hyper(272,a,1684,a(flip),b,1945,a),flip(a)]. given #1983 (H,wt=19): 2064 R(1 / x,y,z) * K(x \ 1,x) = R(x \ 1,y,z). [hyper(1633,a,2063,a)]. given #1984 (H,wt=25): 2025 x * ((y * (z * (1 / x))) * x) != u | ((1 / x) \ y) * L(z,x,x) = u. [para(2007(a,1),753(a,1,2,1,2))]. given #1985 (H,wt=25): 2049 ((1 / x) \ y) * L(z,x,x) != x * u | (y * (z * (1 / x))) * x = u. [para(2022(a,1),38(a,1))]. given #1986 (H,wt=29): 1963 (R(1 / x,y,z) * K(x \ 1,x)) * (K(x \ 1,x) \ u) = R(1 / x,y,z) * u. [para(1962(a,1),628(a,1,1,1)),flip(a)]. given #1987 (H,wt=23): 2065 R(x \ 1,y,z) * (K(x \ 1,x) \ u) = R(1 / x,y,z) * u. [para(2064(a,1),1963(a,1,1))]. given #1988 (H,wt=23): 2066 R(x \ 1,y,z) * (K(x,x \ 1) * u) = R(1 / x,y,z) * u. [para(1820(a,1),2065(a,1,2))]. given #1989 (H,wt=29): 2031 (x \ 1) \ y != L(z,x,x) * (u * ((x \ 1) \ 1)) | ((x \ z) * u) / (x \ 1) = y. [para(2013(a,1),1146(a,2,1))]. given #1990 (H,wt=30): 1421 (x * y) * L((x * y) \ (z * y),u,w) != y * v5 | T(x * L(x \ z,u,w),y) = v5. [para(1405(a,2),216(a,2)),flip(a)]. given #1991 (H,wt=30): 1434 (x * y) * L((x * y) \ z,u,w) != y * v5 | T(x * L(x \ (z / y),u,w),y) = v5. [para(1407(a,1),216(a,2)),flip(a)]. given #1992 (H,wt=30): 1437 (x * y) * R((x * y) \ (z * y),u,w) != y * v5 | T(x * R(x \ z,u,w),y) = v5. [para(1408(a,2),216(a,2)),flip(a)]. given #1993 (H,wt=30): 1449 (x * y) * ((z * ((x * y) \ y)) / z) != y * u | T(x * ((z * (x \ 1)) / z),y) = u. [para(1409(a,2),216(a,2)),flip(a)]. given #1994 (H,wt=30): 1705 (x * y) * T((x * y) \ z,u) != w * v5 | (x * (y * T(y \ (x \ z),u))) / v5 = w. [para(5(a,1),984(a,1,2,1,2))]. given #1995 (H,wt=31): 1231 K(x,x \ 1) * T((x * (1 / x)) \ y,z) = x * ((1 / x) * T((1 / x) \ (x \ y),z)). [para(1050(a,2),785(a,1,1))]. given #1996 (H,wt=31): 1541 ((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) / y = (1 / y) * (y * (x * T(x \ 1,y))). [para(1540(a,1),1294(a,1,2)),flip(a)]. given #1997 (H,wt=30): 2068 ((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) / y = L(x * T(x \ 1,y),y,1 / y). [hyper(272,a,233,a(flip),b,1541,a),flip(a)]. given #1998 (H,wt=24): 2069 L(x * T(x \ 1,y),y,1 / y) = (y * (x * T(x \ 1,y))) / y. [para(1540(a,1),2068(a,1,1)),flip(a)]. given #1999 (H,wt=28): 2070 (x * (((x * y) \ x) * T(((x * y) \ x) \ 1,x))) / x = L(K(y,x),x,1 / x). [para(1040(a,2),2069(a,1,1)),flip(a)]. given #2000 (H,wt=16): 2071 L(K(x,y),y,1 / y) = (y * K(x,y)) / y. [para(1040(a,2),2070(a,1,1,2)),flip(a)]. given #2001 (H,wt=12): 2072 L(K(x,y),y,1 / y) = K(x,y). [hyper(272,a,1882,a(flip),b,2071,a),flip(a)]. given #2002 (H,wt=13): 2073 (1 / x) * (x * K(y,x)) = K(y,x). [hyper(325,a,2072,a)]. given #2003 (H,wt=13): 2074 K(x,y) / (y * K(x,y)) = 1 / y. [hyper(113,a,2072,a(flip),b,233,a)]. given #2004 (H,wt=31): 2042 L(x * (L(x,y,z) * u),L(x,y,z),L(x,y,z)) != w | (L(x,y,z) \ 1) \ (x * u) = w. [para(1270(a,1),2010(a,1,1))]. given #2005 (H,wt=31): 2067 K(x,x \ 1) * T(K(x,x \ 1) \ y,z) = x * ((1 / x) * T((1 / x) \ (x \ y),z)). [para(1050(a,2),1231(a,1,2,1,1))]. given #2006 (H,wt=27): 2075 K(x,x \ 1) * T(K(x,x \ 1) \ y,z) = x * (T((x \ y) * x,z) / x). [para(578(a,1),2067(a,2,2))]. given #2007 (H,wt=19): 2076 K(x,x \ 1) * T(K(x,x \ 1) \ y,x) = T(y,x). [hyper(272,a,1220,a(flip),b,2075,a),flip(a)]. given #2008 (H,wt=19): 2078 T(x * K(y,y \ 1),y) = T(x,y) * K(y,y \ 1). [hyper(356,a,2076,a),flip(a)]. given #2009 (H,wt=21): 2079 T((x / y) * K(y,y \ 1),y) = (y \ x) * K(y,y \ 1). [para(100(a,1),2078(a,2,1))]. given #2010 (H,wt=19): 2080 x * ((x \ y) * K(x,x \ 1)) = y * K(x,x \ 1). [hyper(114,a,2079,a(flip),b,1514,a(flip))]. given #2011 (H,wt=19): 2081 (x * y) * K(x,x \ 1) = x * (y * K(x,x \ 1)). [para(4(a,1),2080(a,1,2,1)),flip(a)]. given #2012 (H,wt=10): 2082 R(x,y,K(x,x \ 1)) = x. [hyper(453,a,2081,a)]. given #2013 (H,wt=14): 2083 R(x \ 1,y,K(x \ 1,x)) = x \ 1. [para(1059(a,1),2082(a,1,3))]. given #2014 (H,wt=27): 2077 K(x,x \ 1) * T(K(x \ 1,x) * y,z) = x * (T((x \ y) * x,z) / x). [para(1817(a,1),2075(a,1,2,1))]. given #2015 (H,wt=30): 2084 (R(x \ 1,y,z) * ((y * z) / K(x \ 1,x))) * K(x \ 1,x) = ((x \ 1) * y) * z. [para(2083(a,1),909(a,1,1,1)),flip(a)]. given #2016 (H,wt=30): 2085 (R(x \ 1,y,z) * (K(x,x \ 1) * (y * z))) * K(x \ 1,x) = ((x \ 1) * y) * z. [para(1818(a,1),2084(a,1,1,2))]. given #2017 (H,wt=24): 2086 (R(1 / x,y,z) * (y * z)) * K(x \ 1,x) = ((x \ 1) * y) * z. [para(2066(a,1),2085(a,1,1))]. given #2018 (H,wt=21): 2087 (((1 / x) * y) * z) * K(x \ 1,x) = ((x \ 1) * y) * z. [para(93(a,1),2086(a,1,1))]. given #2019 (H,wt=21): 2088 K(x,x \ 1) * (((x \ 1) * y) * z) = ((1 / x) * y) * z. [hyper(1821,a,2087,a)]. given #2020 (H,wt=21): 2089 (((x \ 1) * y) * z) * K(x,x \ 1) = ((1 / x) * y) * z. [hyper(1814,a,2087,a)]. given #2021 (H,wt=21): 2090 ((1 / x) * ((x \ 1) \ y)) * z = K(x,x \ 1) * (y * z). [para(5(a,1),2088(a,1,2,1)),flip(a)]. given #2022 (H,wt=19): 2091 (K(x,x \ 1) * y) * z = K(x,x \ 1) * (y * z). [para(1955(a,1),2090(a,1,1))]. given #2023 (H,wt=10): 2092 L(x,y,K(z,z \ 1)) = x. [hyper(429,a,2091,a)]. given #2024 (H,wt=10): 2095 a(x,K(y,y \ 1),z) = 1. [hyper(1202,a,2092,a)]. given #2025 (H,wt=10): 2096 L(x,y,K(z \ 1,z)) = x. [para(28(a,1),2092(a,1,3))]. given #2026 (H,wt=10): 2097 L(x,K(y,y \ 1),z) = x. [hyper(47,a,2095,a)]. given #2027 (H,wt=10): 2105 a(x,y,K(z,z \ 1)) = 1. [hyper(1202,a,2097,a)]. given #2028 (H,wt=10): 2107 L(x,K(y \ 1,y),z) = x. [para(28(a,1),2097(a,1,2))]. given #2029 (H,wt=13): 2102 L(x,y,K(z \ 1,z)) != u | x = u. [para(2096(a,1),45(a,2))]. given #2030 (H,wt=14): 2110 L(K(x,x \ 1),y,z) = K(x,x \ 1). [hyper(47,a,2105,a)]. given #2031 (H,wt=19): 2093 (K(x,x \ 1) * y) * z = (y * z) * K(x,x \ 1). [hyper(272,a,1635,a(flip),b,2091,a),flip(a)]. given #2032 (H,wt=19): 2094 (K(x,x \ 1) * y) \ (K(x,x \ 1) * z) = y \ z. [hyper(112,a,137,a(flip),b,2091,a)]. given #2033 (H,wt=19): 2098 (K(x \ 1,x) * y) * z = K(x \ 1,x) * (y * z). [hyper(1105,a,2096,a),flip(a)]. given #2034 (H,wt=19): 2101 (K(x \ 1,x) * y) \ (K(x \ 1,x) * z) = y \ z. [hyper(58,a,89,a(flip),b,2096,a)]. given #2035 (H,wt=19): 2103 (K(x \ 1,x) * y) / z = K(x \ 1,x) * (y / z). [para(2096(a,1),471(a,1,2))]. given #2036 (H,wt=19): 2104 (x * K(y \ 1,y)) * z = K(y \ 1,y) * (x * z). [para(2096(a,1),1645(a,1,2))]. given #2037 (H,wt=19): 2106 (x * K(y,y \ 1)) * z = x * (K(y,y \ 1) * z). [hyper(1105,a,2097,a),flip(a)]. given #2038 (H,wt=19): 2108 (x / (K(y,y \ 1) * z)) * K(y,y \ 1) = x / z. [para(2097(a,1),312(a,1,2)),flip(a)]. given #2039 (H,wt=19): 2111 (x * K(y \ 1,y)) * z = x * (K(y \ 1,y) * z). [hyper(1105,a,2107,a),flip(a)]. given #2040 (H,wt=19): 2113 (x * (K(y \ 1,y) * z)) / z = x * K(y \ 1,y). [para(2107(a,1),169(a,1,2))]. given #2041 (H,wt=19): 2115 (x * y) * K(z,z \ 1) = x * (y * K(z,z \ 1)). [hyper(114,a,2110,a(flip),b,13,a(flip))]. given #2042 (H,wt=10): 2138 R(x,y,K(z,z \ 1)) = x. [hyper(453,a,2115,a)]. given #2043 (H,wt=10): 2139 R(x,y,K(z \ 1,z)) = x. [para(28(a,1),2138(a,1,3))]. given #2044 (H,wt=13): 2143 R(x,y,L(K(z,z \ 1),u,w)) = x. [para(2110(a,2),2138(a,1,3))]. given #2045 (H,wt=13): 2147 R(x,y,L(K(z \ 1,z),u,w)) = x. [para(28(a,1),2143(a,1,3,1))]. given #2046 (H,wt=19): 2116 K(x,x \ 1) * (y * z) = y * (z * K(x,x \ 1)). [para(2110(a,1),1643(a,1,1))]. given #2047 (H,wt=19): 2117 (x * K(y,y \ 1)) / z = K(y,y \ 1) * (x / z). [hyper(113,a,135,a(flip),b,2093,a)]. given #2048 (H,wt=19): 2119 (K(x,x \ 1) * y) \ z = y \ (z * K(x \ 1,x)). [para(1808(a,1),2094(a,1,2))]. given #2049 (H,wt=19): 2120 (K(x \ 1,x) * y) \ z = y \ (K(x,x \ 1) * z). [para(1816(a,1),2094(a,1,1)),flip(a)]. given #2050 (H,wt=19): 2123 (K(x \ 1,x) * y) \ z = y \ ((x * (1 / x)) * z). [para(1828(a,1),2101(a,1,2))]. given #2051 (H,wt=19): 2129 (x * K(y,y \ 1)) * z = x * (z * K(y,y \ 1)). [hyper(272,a,1646,a(flip),b,2106,a),flip(a)]. given #2052 (H,wt=19): 2130 (K(x,x \ 1) * y) * z = y * (K(x,x \ 1) * z). [para(1635(a,2),2106(a,1,1))]. given #2053 (H,wt=19): 2132 x / (K(y,y \ 1) * z) = K(y \ 1,y) * (x / z). [hyper(1824,a,2108,a),flip(a)]. given #2054 (H,wt=19): 2134 K(x \ 1,x) * (y * z) = y * (K(x \ 1,x) * z). [hyper(58,a,2104,a(flip),b,2111,a)]. given #2055 (H,wt=19): 2136 (x * y) * K(z \ 1,z) = x * (y * K(z \ 1,z)). [hyper(114,a,2113,a(flip),b,1128,a(flip)),flip(a)]. given #2056 (H,wt=19): 2137 (x * y) / (K(z,z \ 1) * y) = x * K(z \ 1,z). [para(1815(a,1),2113(a,1,1,2))]. given #2057 (H,wt=19): 2142 x \ (K(y,y \ 1) * z) = (x \ z) * K(y,y \ 1). [para(2138(a,1),1647(a,1,1))]. given #2058 (H,wt=19): 2144 x \ (y * K(z \ 1,z)) = (x \ y) * K(z \ 1,z). [para(2139(a,1),445(a,1,1))]. given #2059 (H,wt=17): 2163 (x \ (1 / y)) * K(y \ 1,y) = x \ (y \ 1). [para(634(a,1),2144(a,1,2)),flip(a)]. given #2060 (H,wt=17): 2165 K(x,x \ 1) * (y \ (x \ 1)) = y \ (1 / x). [hyper(1821,a,2163,a)]. given #2061 (H,wt=19): 2148 K(x,x \ 1) * (y * z) = y * (K(x,x \ 1) * z). [hyper(272,a,1646,a,b,2116,a),flip(a)]. given #2062 (H,wt=19): 2150 (x * y) * K(z \ 1,z) = x * (K(z \ 1,z) * y). [hyper(1633,a,2134,a)]. given #2063 (H,wt=19): 2151 x \ (K(y \ 1,y) * z) = K(y \ 1,y) * (x \ z). [hyper(518,a,2134,a)]. given #2064 (H,wt=19): 2156 K(x \ 1,x) * (y * (K(x,x \ 1) * z)) = y * z. [para(1815(a,1),2134(a,2,2))]. given #2065 (H,wt=19): 2157 K(x \ 1,x) * (y * (z * (x * (1 / x)))) = y * z. [para(1826(a,1),2134(a,2,2))]. given #2066 (H,wt=19): 2161 (K(x \ 1,x) * y) \ z = (y \ z) * K(x,x \ 1). [hyper(58,a,2120,a,b,2142,a)]. given #2067 (H,wt=19): 2162 x \ (y * K(z \ 1,z)) = K(z \ 1,z) * (x \ y). [hyper(272,a,1628,a,b,2144,a),flip(a)]. given #2068 (H,wt=19): 2170 K(x \ 1,x) * (y \ ((x * (1 / x)) * z)) = y \ z. [para(1828(a,1),2151(a,1,2)),flip(a)]. given #2069 (H,wt=19): 2171 (K(x,x \ 1) * y) \ z = K(x \ 1,x) * (y \ z). [hyper(58,a,2119,a,b,2162,a)]. given #2070 (H,wt=21): 2122 K(x \ 1,x) * ((y * (1 / x)) * z) = (y * (x \ 1)) * z. [para(1822(a,1),2098(a,1,1)),flip(a)]. given #2071 (H,wt=21): 2124 ((x \ 1) * y) \ (K(x \ 1,x) * z) = ((1 / x) * y) \ z. [para(1933(a,1),2101(a,1,1))]. given #2072 (H,wt=21): 2125 T(K(x \ 1,x) * (y / z),z) = z \ (K(x \ 1,x) * y). [para(2103(a,1),100(a,1,1))]. given #2073 (H,wt=21): 2131 (x \ 1) * (K(y,y \ 1) * z) = (x \ K(y,y \ 1)) * z. [para(1650(a,1),2106(a,1,1)),flip(a)]. given #2074 (H,wt=21): 2174 T(K(x \ 1,x) * (y / z),z) = K(x \ 1,x) * (z \ y). [hyper(272,a,2151,a(flip),b,2125,a),flip(a)]. given #2075 (H,wt=21): 2175 K(x \ 1,x) * (y \ (z * y)) = T(K(x \ 1,x) * z,y). [para(6(a,1),2174(a,1,1,2)),flip(a)]. given #2076 (H,wt=19): 2176 T(K(x \ 1,x) * y,z) = K(x \ 1,x) * T(y,z). [para(17(a,2),2175(a,1,2)),flip(a)]. given #2077 (H,wt=19): 2177 K(x,x \ 1) * T(K(x \ 1,x) * y,z) = T(y,z). [hyper(114,a,2176,a,b,1817,a)]. given #2078 (H,wt=15): 2178 x * (T((x \ y) * x,z) / x) = T(y,z). [hyper(58,a,2077,a(flip),b,2177,a)]. given #2079 (H,wt=11): 2182 x * (T(x,y) / x) = T(x,y). [para(151(a,1),2178(a,1,2,1,1))]. given #2080 (H,wt=11): 2185 T(x,y) / x = x \ T(x,y). [hyper(117,a,2182,a),flip(a)]. given #2081 (H,wt=11): 2186 (x \ T(x,y)) * x = T(x,y). [para(2182(a,1),76(a,1,1,2))]. given #2082 (H,wt=14): 2187 x \ T(x,y) != z | T(x,y) / x = z. [para(2182(a,1),287(a,1,2))]. given #2083 (H,wt=15): 2179 T((x \ y) * x,z) / x = x \ T(y,z). [hyper(112,a,2177,a(flip),b,2077,a(flip)),flip(a)]. given #2084 (H,wt=15): 2183 T((x \ y) * x,z) = (x \ T(y,z)) * x. [para(2178(a,1),76(a,1,1,2)),flip(a)]. given #2085 (H,wt=15): 2184 T(x * (y / x),z) = x * (T(y,z) / x). [para(76(a,1),2178(a,1,2,1,1)),flip(a)]. given #2086 (H,wt=15): 2191 (x \ T(x,y)) * (1 / T(x,y)) = 1 / x. [para(2185(a,1),1607(a,1,1))]. given #2087 (H,wt=15): 2194 T(x * y,z) / y = y \ T(y * x,z). [para(4(a,1),2179(a,1,1,1,1))]. given #2088 (H,wt=15): 2200 (x \ T(x * y,z)) * x = T(y * x,z). [para(4(a,1),2183(a,1,1,1)),flip(a)]. given #2089 (H,wt=16): 2192 T(x,R(1 / y,y,x)) = T(x,x / (x * y)). [hyper(58,a,1268,a,b,2186,a)]. given #2090 (H,wt=16): 2209 T(x,R(y \ 1,y,x)) = T(x,x / (x * y)). [hyper(58,a,1975,a(flip),b,2192,a)]. given #2091 (H,wt=17): 2188 (x \ 1) * (x * T(x \ 1,y)) = T(x \ 1,y). [para(405(a,1),2182(a,1,2))]. given #2092 (H,wt=17): 2190 (x \ 1) \ T(x \ 1,y) = x * T(x \ 1,y). [hyper(510,a,2185,a),flip(a)]. given #2093 (H,wt=17): 2202 T((x \ (y / z)) * x,z) = (x \ (z \ y)) * x. [para(100(a,1),2183(a,2,1,2))]. given #2094 (H,wt=17): 2203 x * (y * (T(z,x) / y)) = (y * (z / y)) * x. [hyper(114,a,2184,a(flip),b,17,a(flip))]. given #2095 (H,wt=17): 2206 T(x \ T(x * y,z),x) = x \ T(y * x,z). [para(2194(a,1),100(a,1,1))]. given #2096 (H,wt=18): 2189 x \ T(x,R(y,y \ 1,x)) = y \ ((x * y) / x). [hyper(1378,a,2185,a),flip(a)]. given #2097 (H,wt=18): 2201 T((x \ y) * x,z) != u * x | x \ T(y,z) = u. [para(2183(a,2),39(a,1))]. given #2098 (H,wt=18): 2204 T(x * (y / x),z) != x * u | T(y,z) / x = u. [para(2184(a,2),38(a,1))]. given #2099 (H,wt=19): 2211 (x * T(x \ 1,y)) \ 1 = T(x \ 1,y) \ (x \ 1). [para(2190(a,1),2056(a,1,1))]. given #2100 (H,wt=19): 2212 (x * ((y \ (x \ z)) * y)) / x = (y \ (z / x)) * y. [hyper(242,a,2202,a)]. given #2101 (H,wt=19): 2213 ((x \ (y / z)) * x) * z = z * ((x \ (z \ y)) * x). [hyper(114,a,2202,a(flip),b,17,a(flip)),flip(a)]. given #2102 (H,wt=19): 2214 (x * ((y / z) / x)) * z = z * (x * ((z \ y) / x)). [para(100(a,1),2203(a,1,2,2,1)),flip(a)]. given #2103 (H,wt=19): 2215 (x * (((y * z) / y) / x)) * y = y * (x * (z / x)). [para(205(a,1),2203(a,1,2,2,1)),flip(a)]. given #2104 (H,wt=19): 2219 (x \ ((y * (x * z)) / y)) * x = (y * (z * x)) / y. [para(62(a,1),2212(a,1,1,2,1)),flip(a)]. given #2105 (H,wt=15): 2221 (x * (x * y)) / x = T(x,y * x) * y. [para(835(a,1),2219(a,1,1)),flip(a)]. given #2106 (H,wt=13): 2223 T(T(x,y * x) * y,x) = x * y. [para(2221(a,1),205(a,1,1))]. given #2107 (H,wt=11): 2225 T(x,y) * T(y,x) = x * y. [hyper(1028,a,2223,a)]. given #2108 (H,wt=9): 2229 T(x,T(y,x)) = T(x,y). [hyper(337,a,2225,a)]. given #2109 (H,wt=11): 2227 (x / T(y,x)) * y = T(x,y). [hyper(1246,a,2225,a)]. given #2110 (H,wt=11): 2228 x * (T(x,y) \ y) = T(y,x). [hyper(1016,a,2225,a)]. given #2111 (H,wt=11): 2230 T(x,y) \ (x * y) = T(y,x). [hyper(117,a,2225,a)]. given #2112 (H,wt=11): 2235 T(x,y / x) = T(x,x \ y). [para(100(a,1),2229(a,1,2)),flip(a)]. given #2113 (H,wt=11): 2240 T(x,y) / y = x / T(y,x). [hyper(122,a,2227,a)]. given #2114 (H,wt=11): 2241 x / T(y \ 1,x) = y * x. [hyper(30,a,378,a,b,2227,a),flip(a)]. given #2115 (H,wt=11): 2242 x / T(y,x) = (1 / y) * x. [hyper(30,a,365,a(flip),b,2227,a),flip(a)]. given #2116 (H,wt=11): 2245 T(x,y) \ y = x \ T(y,x). [hyper(117,a,2228,a),flip(a)]. given #2117 (H,wt=11): 2252 T(x,y / x) = (x \ y) \ y. [hyper(272,a,99,a(flip),b,2235,a),flip(a)]. given #2118 (H,wt=11): 2255 (T(x,y) / y) \ x = T(y,x). [hyper(172,a,2240,a(flip))]. given #2119 (H,wt=11): 2256 (x / T(y,x)) / x = 1 / y. [hyper(113,a,2240,a(flip),b,369,a(flip))]. given #2120 (H,wt=11): 2257 T((x / y) \ 1,y) = x \ y. [hyper(295,a,2241,a),flip(a)]. given #2121 (H,wt=11): 2258 T(x \ 1,y) = (x * y) \ y. [hyper(172,a,2241,a),flip(a)]. given #2122 (H,wt=11): 2259 (x * y) * T(x \ 1,y) = y. [hyper(125,a,2241,a)]. given #2123 (H,wt=11): 2261 T(x,y) = ((1 / x) * y) \ y. [hyper(172,a,2242,a),flip(a)]. given #2124 (H,wt=13): 2226 T(x,y) * (y * x) = x * (x * y). [hyper(114,a,2223,a(flip),b,748,a(flip)),flip(a)]. given #2125 (H,wt=13): 2233 T(x \ y,x) = ((x \ y) \ y) \ y. [hyper(573,a,2229,a),flip(a)]. given #2126 (H,wt=13): 2249 T(x,y) = (x \ (y * x)) \ (y * x). [para(17(a,1),2230(a,1,1)),flip(a)]. given #2127 (H,wt=13): 2254 x \ (x / T(y,x)) = T(1 / y,x). [hyper(359,a,2240,a(flip),b,369,a(flip)),flip(a)]. given #2128 (H,wt=13): 2272 ((x / y) \ 1) * y = y * (x \ y). [hyper(114,a,2257,a(flip),b,17,a(flip)),flip(a)]. given #2129 (H,wt=14): 2238 T(x,T(y,y * x)) = T(x,L(y,x,y)). [para(598(a,1),2229(a,1,2))]. given #2130 (H,wt=14): 2243 T(x,y) / y != z | x / T(y,x) = z. [para(2227(a,1),279(a,1,1))]. given #2131 (H,wt=14): 2247 x \ T(y,x) != z | T(x,y) \ y = z. [para(2228(a,1),287(a,1,2))]. given #2132 (H,wt=14): 2260 (x * y) \ y != z | T(x \ 1,y) = z. [para(2241(a,1),290(a,1,1))]. given #2133 (H,wt=14): 2267 T(x,y / x) != z | T(x,x \ y) = z. [para(2252(a,2),302(a,1))]. given #2134 (H,wt=14): 2269 x / T(y,x) != z | T(x,y) / y = z. [para(2255(a,1),280(a,1,2))]. given #2135 (H,wt=14): 2273 T(x,y) != z \ y | (z / y) \ 1 = x. [para(2257(a,1),44(a,1)),flip(a)]. given #2136 (H,wt=14): 2281 T(x,y) != (z * y) \ y | z \ 1 = x. [para(2258(a,1),44(a,1)),flip(a)]. given #2137 (H,wt=14): 2287 (1 / x) * y != z | T(y,x) / x = z. [para(2242(a,1),2269(a,1))]. given #2138 (H,wt=15): 2222 ((x * (x * y)) / x) / y = T(x,y * x). [hyper(113,a,2221,a,b,xx)]. given #2139 (H,wt=15): 2232 T(x,y / x) * (x \ y) = x * (y / x). [para(100(a,1),2225(a,1,2))]. given #2140 (H,wt=15): 2234 T(x,L(T(y,x),z,u)) = T(x,L(y,z,u)). [para(20(a,2),2229(a,1,2))]. given #2141 (H,wt=15): 2266 ((x / y) * ((y \ x) \ x)) / (x / y) = y. [hyper(242,a,2252,a)]. given #2142 (H,wt=11): 2291 T(x / (x / y),y \ x) = y. [hyper(58,a,858,a(flip),b,2266,a)]. given #2143 (H,wt=14): 2294 T(x,y \ z) != y | z / (z / y) = x. [para(2291(a,1),44(a,1)),flip(a)]. given #2144 (H,wt=15): 2268 (x * (y / x)) * x = y * ((x \ y) \ y). [para(2252(a,1),660(a,2,2))]. given #2145 (H,wt=15): 2275 T(((1 / x) * y) \ 1,x) = T(y,x) \ x. [para(369(a,1),2257(a,1,1,1))]. given #2146 (H,wt=15): 2276 x \ ((y / x) \ 1) = (y \ x) * (x \ 1). [para(2257(a,1),676(a,1,1)),flip(a)]. given #2147 (H,wt=15): 2280 T(x \ 1,y) \ z = ((x * y) \ y) \ z. [hyper(56,a,2258,a)]. given #2148 (H,wt=15): 2290 ((x \ y) \ y) * (x \ y) = x * (y / x). [para(2252(a,1),2232(a,1,1))]. given #2149 (H,wt=15): 2292 ((x \ y) * x) / (x \ y) = y / (y / x). [hyper(242,a,2291,a)]. given #2150 (H,wt=15): 2298 (x * (y \ x)) / (x / y) = (y \ x) * y. [hyper(1264,a,2292,a)]. given #2151 (H,wt=15): 2299 ((x \ y) * x) * (y / x) = y * (x \ y). [hyper(125,a,2298,a)]. given #2152 (H,wt=16): 2239 T(x \ y,x) != z | ((x \ y) \ y) \ y = z. [para(2229(a,1),573(a,1))]. given #2153 (H,wt=16): 2262 x / T(y,x) != x * z | T(1 / y,x) = z. [para(2242(a,2),216(a,2)),flip(a)]. given #2154 (H,wt=16): 2283 T(x,y) * (y * x) != x * z | x * y = z. [para(2226(a,2),38(a,1))]. given #2155 (H,wt=16): 2284 T(x \ y,x) != z \ y | (x \ y) \ y = z. [para(2233(a,2),43(a,1))]. given #2156 (H,wt=17): 2236 T(x \ 1,y * (x \ 1)) = T(x \ 1,x \ y). [para(383(a,1),2229(a,1,2))]. given #2157 (H,wt=17): 2246 T(1 / x,y) \ y = (1 / x) \ T(y,x \ 1). [hyper(112,a,1967,a(flip),b,2228,a),flip(a)]. given #2158 (H,wt=17): 2263 ((x / T(y,x)) * z) * y = y \ (x * (z * y)). [para(2242(a,2),664(a,1,1,1))]. given #2159 (H,wt=17): 2271 T((x / (1 / y)) \ 1,y \ 1) = x \ (1 / y). [hyper(58,a,1967,a(flip),b,2257,a)]. given #2160 (H,wt=17): 2277 T(T(x,y) \ 1,y \ 1) = (y \ x) \ (y \ 1). [para(678(a,2),2257(a,1,1,1))]. given #2161 (H,wt=17): 2279 T(T(x,y \ 1) \ 1,y) = ((1 / y) \ x) \ y. [para(1978(a,1),2257(a,1,1,1))]. given #2162 (H,wt=17): 2282 x * (T(y \ 1,x) * (y \ 1)) = y \ (x / y). [para(2259(a,1),1132(a,1,2,1)),flip(a)]. given #2163 (H,wt=15): 2300 x * (y \ T(1 / y,x)) = y \ (x / y). [para(689(a,1),2282(a,1,2))]. given #2164 (H,wt=17): 2297 K((x \ y) \ y,x \ y) = y \ (x * (y / x)). [hyper(112,a,2290,a(flip),b,259,a),flip(a)]. given #2165 (H,wt=15): 2301 K((x \ y) \ y,x \ y) = K(x,y / x). [hyper(272,a,83,a(flip),b,2297,a),flip(a)]. given #2166 (H,wt=15): 2302 K(T(x,x \ y),x \ y) = K(x,y / x). [para(99(a,2),2301(a,1,1))]. given #2167 (H,wt=17): 2303 K(T(x,y),x \ (x * y)) = K(x,(x * y) / x). [para(4(a,1),2302(a,1,1,2))]. given #2168 (H,wt=13): 2304 K(T(x,y),y) = K(x,(x * y) / x). [para(4(a,1),2303(a,1,2))]. given #2169 (H,wt=17): 2305 (x * y) * K(x,(x * y) / x) = T(x,y) * y. [para(2304(a,1),262(a,1,2))]. given #2170 (H,wt=13): 2306 T(x,y) * y = x * ((x * y) / x). [hyper(353,a,2305,a),flip(a)]. given #2171 (H,wt=11): 2308 T(x,x / (x / y)) = T(x,y). [hyper(30,a,1314,a,b,2306,a)]. given #2172 (H,wt=13): 2307 x \ (T(x,y) * y) = (x * y) / x. [hyper(112,a,2305,a(flip),b,260,a(flip))]. given #2173 (H,wt=13): 2310 T(x,y) = ((x * y) / x) / (x \ y). [hyper(58,a,1318,a,b,2308,a),flip(a)]. given #2174 (H,wt=11): 2311 T(x / y,T(y,x)) = y \ x. [hyper(1257,a,2310,a(flip))]. given #2175 (H,wt=13): 2313 T(x,T(y,x * y)) = y \ (x * y). [para(6(a,1),2311(a,1,1))]. given #2176 (H,wt=11): 2314 T(x,T(y,x * y)) = T(x,y). [hyper(272,a,17,a,b,2313,a),flip(a)]. given #2177 (H,wt=15): 2312 ((x * (x * y)) / x) / y = T(x,x * y). [para(4(a,1),2310(a,2,2)),flip(a)]. given #2178 (H,wt=11): 2315 T(x,y * x) = T(x,x * y). [hyper(58,a,2222,a(flip),b,2312,a)]. given #2179 (H,wt=11): 2317 T(x,(x \ y) * x) = T(x,y). [para(5(a,1),2315(a,2,2))]. given #2180 (H,wt=11): 2318 T(x,x * (y / x)) = T(x,y). [para(7(a,1),2315(a,1,2)),flip(a)]. given #2181 (H,wt=11): 2323 T(x,T(y,y * x)) = T(x,y). [para(2315(a,1),2314(a,1,2))]. given #2182 (H,wt=10): 2326 T(x,L(y,x,y)) = T(x,y). [hyper(58,a,2238,a(flip),b,2323,a)]. given #2183 (H,wt=12): 2320 R(T(x,x * y),y,x) = T(x,y). [para(2315(a,1),652(a,1,1))]. given #2184 (H,wt=9): 2327 R(L(x,y,x),y,x) = x. [hyper(820,a,2320,a(flip))]. given #2185 (H,wt=9): 2330 L(R(x,y,x),y,x) = x. [hyper(58,a,24,a(flip),b,2327,a)]. given #2186 (H,wt=11): 2332 R(x,y,T(x,y)) = R(x,y,x). [hyper(840,a,2330,a)]. given #2187 (H,wt=12): 2331 R(x,y,z) != z | L(z,y,z) = x. [para(2327(a,1),46(a,1)),flip(a)]. given #2188 (H,wt=12): 2333 x * R(y,x,y) = T(y * x,y). [hyper(114,a,2332,a(flip),b,839,a)]. given #2189 (H,wt=13): 2316 x * T(y,y * x) = (1 / y) \ x. [hyper(114,a,2315,a(flip),b,834,a(flip))]. given #2190 (H,wt=13): 2321 T(x * T(y,y * x),y) = x * y. [para(2315(a,1),831(a,1,1,2))]. given #2191 (H,wt=12): 2338 T(L(x,y,x) * y,x) = y * x. [para(599(a,1),2321(a,1,1))]. given #2192 (H,wt=13): 2325 T(x,T(x,y) * y) = T(x,x * y). [para(2306(a,2),2318(a,1,2))]. given #2193 (H,wt=13): 2329 L(x,y,(y * x) / y) = L(x,y,x). [hyper(813,a,2327,a)]. given #2194 (H,wt=13): 2339 T(x,T(x,y) * y) = T(x,y * x). [hyper(272,a,2315,a,b,2325,a),flip(a)]. given #2195 (H,wt=14): 2319 (x * T(y,x * y)) / x = L(y,x,y). [para(2315(a,2),603(a,1,1,2))]. given #2196 (H,wt=14): 2324 R(T(x,y),x \ y,x) = (x \ y) \ y. [para(2317(a,1),654(a,1,1))]. given #2197 (H,wt=14): 2328 R(T(x,T(x * y,x)),y,x) = T(x,y). [para(2229(a,2),2320(a,1,1))]. given #2198 (H,wt=14): 2340 L(x \ y,x,x \ y) = T(y / x,y). [hyper(58,a,622,a(flip),b,2329,a),flip(a)]. given #2199 (H,wt=15): 2334 R(x,T(y,x),T(x,y)) = R(x,T(y,x),x). [para(2229(a,1),2332(a,1,3))]. given #2200 (H,wt=15): 2336 x \ T(y * x,y) != z | R(y,x,y) = z. [para(2333(a,1),287(a,1,2))]. given #2201 (H,wt=16): 2309 x \ (T(x,y) * y) != z | (x * y) / x = z. [para(2306(a,2),287(a,1,2))]. given #2202 (H,wt=16): 2341 (x * T(y,x * y)) / x = L(y,x,T(y,x)). [para(2339(a,1),1124(a,1,1,2))]. given #2203 (H,wt=11): 2344 L(x,y,T(x,y)) = L(x,y,x). [hyper(58,a,2319,a(flip),b,2341,a),flip(a)]. given #2204 (H,wt=16): 2342 R(x,x \ y,x) * y = y * ((x \ y) \ y). [hyper(114,a,2324,a(flip),b,104,a),flip(a)]. given #2205 (H,wt=16): 2345 R(x,x \ y,x) * y = (x * (y / x)) * x. [hyper(272,a,2268,a,b,2342,a),flip(a)]. given #2206 (H,wt=13): 2346 R(x,y / x,x) = R(x,x \ y,x). [hyper(30,a,448,a,b,2345,a)]. given #2207 (H,wt=13): 2347 R(x,(x * y) / x,x) = R(x,y,x). [para(4(a,1),2346(a,2,2))]. given #2208 (H,wt=11): 2348 R(x,T(y,x),x) = R(x,y,x). [para(206(a,1),2347(a,1,2)),flip(a)]. given #2209 (H,wt=13): 2349 R(x,T(y,x),T(x,y)) = R(x,y,x). [hyper(58,a,2334,a,b,2348,a)]. given #2210 (H,wt=18): 2224 ((x * (x * y)) / x) / y != z | T(x,y * x) = z. [para(2221(a,2),279(a,1,1))]. given #2211 (H,wt=14): 2351 T(x,x * y) != z | T(x,y * x) = z. [para(2312(a,1),2224(a,1))]. given #2212 (H,wt=18): 2244 T(x,y) / y != z * u | (x / T(y,x)) / u = z. [para(2227(a,1),276(a,1,1))]. given #2213 (H,wt=18): 2248 x \ T(y,x) != z * u | z \ (T(x,y) \ y) = u. [para(2228(a,1),285(a,1,2))]. given #2214 (H,wt=18): 2250 x \ y != T(z,u) * T(u,z) | x * (z * u) = y. [para(2230(a,1),286(a,2,2))]. given #2215 (H,wt=18): 2253 (x * y) \ (y * T(x,x \ y)) = a(x,y / x,x). [para(2235(a,1),778(a,1,2,2))]. given #2216 (H,wt=18): 2337 T(x * y,x) * T(x,y) = (x * y) * R(x,y,x). [para(2333(a,1),1442(a,1,1))]. given #2217 (H,wt=19): 2237 T(x,y) * R(T(y,x),z,u) = R(y,z,u) * T(x,y). [para(2229(a,1),214(a,1,2,1))]. given #2218 (H,wt=19): 2335 (x * y) \ (x * T(z * y,z)) = L(R(z,y,z),y,x). [para(2333(a,1),13(a,2,2,2)),flip(a)]. given #2219 (H,wt=19): 2350 R(R(x,y,z),T(u,x),T(x,u)) = R(R(x,u,x),y,z). [para(2349(a,1),26(a,1,1)),flip(a)]. given #2220 (H,wt=19): 2353 T(x,y) * T(R(y,z,u),x) = R(y,z,u) * T(x,y). [para(22(a,1),2237(a,1,2))]. given #2221 (H,wt=20): 2210 T(x \ 1,y) != (x \ 1) * z | x * T(x \ 1,y) = z. [para(2188(a,1),38(a,1))]. given #2222 (H,wt=20): 2216 T(x,R(y,y \ 1,x)) \ x = 1 / (y \ ((x * y) / x)). [para(2189(a,1),2054(a,1,2)),flip(a)]. given #2223 (H,wt=18): 2354 T(x,R(y,y \ 1,x)) \ x = ((x * y) / x) \ y. [hyper(272,a,2061,a(flip),b,2216,a),flip(a)]. given #2224 (H,wt=20): 2286 ((1 / x) \ y) \ x != z | T(T(y,x \ 1) \ 1,x) = z. [para(1972(a,1),2260(a,1,1))]. given #2225 (H,wt=20): 2322 x * L(T(y,x * y),z,u) = L(L(y,x,y),z,u) * x. [para(2315(a,2),608(a,1,2,1))]. given #2226 (H,wt=20): 2343 R(x,y,x) * T(x * y,x) = T(x * y,x) * T(x,y). [hyper(114,a,2328,a(flip),b,104,a),flip(a)]. given #2227 (H,wt=19): 2357 R(x,y,x) * T(x * y,x) = (x * y) * R(x,y,x). [hyper(272,a,2337,a(flip),b,2343,a),flip(a)]. given #2228 (H,wt=20): 2355 T(x,R(T(y,x),T(y,x) \ 1,x)) \ x = y \ T(y,x). [para(206(a,1),2354(a,2,1))]. given #2229 (H,wt=15): 2359 (x * (T(y,x) \ y)) \ x = y \ T(y,x). [para(1921(a,1),2355(a,1,1))]. given #2230 (H,wt=18): 2360 x * (y \ T(y,z)) != z | z * (T(y,z) \ y) = x. [para(2359(a,1),121(a,1,2))]. given #2231 (H,wt=20): 2356 T(L(L(x,y,x),z,u) * y,x) = L(x,z,u) * T(y,x). [para(2322(a,1),1455(a,1,1))]. given #2232 (H,wt=21): 2220 (x * y) * T((x * y) \ z,x) = y * ((x \ (y \ z)) * x). [hyper(989,a,2213,a)]. given #2233 (H,wt=21): 2278 T(L(x / y,z,u) \ 1,y) = (y * L(y \ x,z,u)) \ y. [para(559(a,1),2257(a,1,1,1))]. given #2234 (H,wt=21): 2352 T(x * y,x) * T(x,y) != (x * y) * z | R(x,y,x) = z. [para(2337(a,2),38(a,1))]. given #2235 (H,wt=22): 2164 x \ (y * K(z \ 1,z)) != u | K(z \ 1,z) * (x \ y) = u. [para(2144(a,2),1629(a,1))]. given #2236 (H,wt=22): 2169 x \ (K(y \ 1,y) * z) != u | (x \ z) * K(y \ 1,y) = u. [para(2151(a,2),1633(a,1))]. given #2237 (H,wt=22): 2218 ((x \ (y / z)) * x) * z != u | z * ((x \ (z \ y)) * x) = u. [para(2212(a,1),227(a,1,1))]. given #2238 (H,wt=22): 2231 R(x,T(y,z),T(z,y)) * (y * z) = (x * T(y,z)) * T(z,y). [hyper(114,a,2225,a(flip),b,166,a)]. given #2239 (H,wt=22): 2285 T(x,y \ 1) \ (y \ 1) != z | T((y * x) \ 1,y \ 1) = z. [para(378(a,1),2260(a,1,1))]. given #2240 (H,wt=22): 2288 T(x,y \ 1) != T(z,y \ 1) \ (y \ 1) | (y * z) \ 1 = x. [para(378(a,1),2281(a,2,1))]. given #2241 (H,wt=22): 2289 T(x,y * x) * y != z * u | ((x * (x * y)) / x) / u = z. [para(2222(a,1),467(a,1,1))]. given #2242 (H,wt=22): 2361 x \ (K(y \ 1,y) * z) != u | K(y \ 1,y) * (x \ z) = u. [para(1628(a,2),2164(a,1,2))]. given #2243 (H,wt=23): 2158 (x * (K(y \ 1,y) * z)) \ u = (x * z) \ ((y * (1 / y)) * u). [para(2134(a,1),2123(a,1,1))]. given #2244 (H,wt=23): 2167 x / (y * (K(z,z \ 1) * u)) = K(z \ 1,z) * (x / (y * u)). [para(2148(a,1),2132(a,1,2))]. given #2245 (H,wt=23): 2168 (x * (K(y \ 1,y) * z)) * u = (x * z) * (K(y \ 1,y) * u). [para(2150(a,1),2111(a,1,1))]. given #2246 (H,wt=23): 2172 (1 / x) \ ((y * (1 / x)) * z) = (x \ 1) \ ((y * (x \ 1)) * z). [para(2122(a,1),1932(a,1,2)),flip(a)]. given #2247 (H,wt=23): 2173 ((x \ 1) * y) \ (K(x \ 1,x) * (y * (1 / x))) = K(y,1 / x). [hyper(272,a,11,a,b,2124,a),flip(a)]. given #2248 (H,wt=17): 2368 ((x \ 1) * y) \ (y * (x \ 1)) = K(y,1 / x). [para(1822(a,1),2173(a,1,2))]. given #2249 (H,wt=11): 2369 K(x,1 / y) = K(x,y \ 1). [hyper(293,a,2368,a),flip(a)]. given #2250 (H,wt=11): 2372 K(x,(y \ 1) \ 1) = K(x,y). [para(72(a,1),2369(a,1,2)),flip(a)]. given #2251 (H,wt=14): 2370 K(x,1 / y) != z | K(x,y \ 1) = z. [para(2368(a,1),293(a,1))]. given #2252 (H,wt=17): 2373 (1 / x) * K(y,1 / x) = K(y,x \ 1) / x. [para(2369(a,1),944(a,2,1))]. given #2253 (H,wt=23): 2264 T(x,y) * L(x \ T(y,x),z,u) = T(x * L(x \ y,z,u),y). [para(2245(a,1),1595(a,1,2,1))]. given #2254 (H,wt=23): 2270 (x / (x * L(x \ 1,y,z))) / x = 1 / (x * L(x \ 1,y,z)). [para(867(a,1),2256(a,1,1,2))]. given #2255 (H,wt=23): 2274 ((x / y) \ 1) * T((x / y) \ 1,y) = (x \ y) * ((x / y) \ 1). [para(2257(a,1),218(a,1,1)),flip(a)]. given #2256 (H,wt=24): 2363 (x * y) * T((x * y) \ z,x) != u | y * ((x \ (y \ z)) * x) = u. [para(988(a,2),2218(a,1))]. given #2257 (H,wt=24): 2364 (R(x,y,z) * T(u,x)) * T(x,u) = R(R(x,u,x),y,z) * (u * x). [para(2350(a,1),2231(a,1,1)),flip(a)]. given #2258 (H,wt=21): 2375 (R(x,y,z) * T(u,x)) * T(x,u) = (R(x,y,z) * u) * x. [hyper(272,a,452,a(flip),b,2364,a),flip(a)]. given #2259 (H,wt=18): 2376 T(x * y,x) * T(x,y) = (R(x,y,x) * y) * x. [para(1096(a,1),2375(a,1,1))]. given #2260 (H,wt=17): 2377 (R(x,y,x) * y) * x = (x * y) * R(x,y,x). [hyper(58,a,2337,a(flip),b,2376,a),flip(a)]. given #2261 (H,wt=20): 2378 (R(x,y,x) * y) \ ((x * y) * R(x,y,x)) != z | x = z. [para(2377(a,1),287(a,1,2))]. given #2262 (H,wt=25): 2193 T(x,y) * z != (x \ T(x,y)) * (x * u) | L(u,x,x \ T(x,y)) = z. [para(2186(a,1),429(a,1,1))]. given #2263 (H,wt=25): 2217 T((x \ y) \ 1,z) \ ((x \ y) \ 1) = (x \ (y * T(y \ x,z))) \ 1. [para(1036(a,1),2211(a,1,1)),flip(a)]. given #2264 (H,wt=26): 2121 ((K(x \ 1,x) * (y * z)) * u) / (z * u) = R(K(x \ 1,x) * y,z,u). [para(2098(a,1),15(a,2,1,1)),flip(a)]. given #2265 (H,wt=26): 2135 x \ y != (z * (K(u \ 1,u) * w)) / w | x * (z * K(u \ 1,u)) = y. [para(2111(a,1),538(a,2,1))]. given #2266 (H,wt=26): 2145 (x * y) \ ((x * (y * z)) * K(u \ 1,u)) = L(z,y,x) * K(u \ 1,u). [para(2139(a,1),470(a,1,1))]. given #2267 (H,wt=26): 2358 (R(x,y,x) * y) \ ((x * y) * R(x,y,x)) = L(R(x,y,x),y,R(x,y,x)). [para(2357(a,1),2335(a,1,2))]. given #2268 (H,wt=12): 2382 L(R(x,y,x),y,R(x,y,x)) = x. [hyper(2378,a,2358,a),flip(a)]. given #2269 (H,wt=26): 2362 x \ (y * (K(z \ 1,z) * u)) != w | K(z \ 1,z) * (x \ (y * u)) = w. [para(2150(a,1),2164(a,1,2))]. given #2270 (H,wt=26): 2374 1 / (x * L(x \ 1,y,z)) != u / x | x / (x * L(x \ 1,y,z)) = u. [para(2270(a,1),41(a,1))]. given #2271 (H,wt=26): 2380 (K(x \ 1,x) * ((y * z) * u)) / (z * u) = R(K(x \ 1,x) * y,z,u). [para(2098(a,1),2121(a,1,1))]. given #2272 (H,wt=26): 2381 (x * y) \ (x * ((y * z) * K(u \ 1,u))) = L(z,y,x) * K(u \ 1,u). [para(2136(a,1),2145(a,1,2))]. given #2273 (H,wt=26): 2383 K(x \ 1,x) * (((y * z) * u) / (z * u)) = R(K(x \ 1,x) * y,z,u). [hyper(58,a,2103,a(flip),b,2380,a)]. given #2274 (H,wt=21): 2385 R(K(x \ 1,x) * y,z,u) = K(x \ 1,x) * R(y,z,u). [para(15(a,2),2383(a,1,2)),flip(a)]. given #2275 (H,wt=21): 2386 (x * (1 / x)) * R(K(x \ 1,x) * y,z,u) = R(y,z,u). [hyper(114,a,2385,a,b,1829,a)]. given #2276 (H,wt=21): 2387 R(x * K(y \ 1,y),z,u) = K(y \ 1,y) * R(x,z,u). [para(1628(a,1),2385(a,1,1))]. given #2277 (H,wt=21): 2388 R((x * (1 / x)) * y,z,u) = (x * (1 / x)) * R(y,z,u). [para(1828(a,1),2386(a,1,2,1)),flip(a)]. given #2278 (H,wt=23): 2390 (x \ 1) * R((x * (1 / x)) * y,z,u) = (1 / x) * R(y,z,u). [para(2388(a,2),1953(a,1,2))]. given #2279 (H,wt=24): 2389 R(x * K(y \ 1,y),z,u) != K(y \ 1,y) * w | R(x,z,u) = w. [para(2387(a,2),38(a,1))]. given #2280 (H,wt=25): 2391 (1 / x) * R((1 / x) \ y,z,u) = (x \ 1) * R((x \ 1) \ y,z,u). [para(1941(a,1),2390(a,1,2,1)),flip(a)]. given #2281 (H,wt=21): 2392 (1 / x) * R((1 / x) \ y,z,u) = x \ R(x * y,z,u). [hyper(272,a,911,a(flip),b,2391,a),flip(a)]. given #2282 (H,wt=17): 2393 R(x * y,z,u) / y = y \ R(y * x,z,u). [hyper(58,a,1035,a(flip),b,2392,a)]. given #2283 (H,wt=17): 2394 x * (R(y * x,z,u) / x) = R(x * y,z,u). [hyper(114,a,1035,a(flip),b,2392,a(flip))]. given #2284 (H,wt=17): 2395 (x \ R(x * y,z,u)) * x = R(y * x,z,u). [hyper(125,a,2393,a)]. given #2285 (H,wt=17): 2396 R(x * (y / x),z,u) = x * (R(y,z,u) / x). [para(7(a,1),2394(a,1,2,1,1)),flip(a)]. given #2286 (H,wt=17): 2397 R((x \ y) * x,z,u) = (x \ R(y,z,u)) * x. [para(5(a,1),2395(a,1,1,2,1)),flip(a)]. given #2287 (H,wt=13): 2398 (R(x,y,z) \ x) * R(x,y,z) = x. [hyper(189,a,2397,a),flip(a)]. given #2288 (H,wt=13): 2401 x / R(x,y,z) = R(x,y,z) \ x. [hyper(122,a,2398,a)]. given #2289 (H,wt=22): 2399 R((x \ (y / z)) * x,z,z \ 1) = (x \ (y * (z \ 1))) * x. [para(460(a,1),2397(a,2,1,2))]. given #2290 (H,wt=22): 2400 R((x \ (y / (1 / z))) * x,z \ 1,z) = (x \ (y * z)) * x. [para(1837(a,1),2397(a,2,1,2))]. given #2291 (H,wt=23): 2402 ((x \ (y * (z \ 1))) * x) / (z \ 1) = ((x \ (y / z)) * x) * z. [hyper(113,a,2399,a(flip),b,235,a)]. given #2292 (H,wt=23): 2403 ((x \ (y / (1 / z))) * x) * (1 / z) = ((x \ (y * z)) * x) / z. [para(2400(a,1),1835(a,1,1)),flip(a)]. given #2293 (H,wt=21): 2404 x * (T((x \ y) * z,x) / z) = ((x \ (y * z)) * x) / z. [hyper(58,a,1229,a(flip),b,2403,a)]. given #2294 (H,wt=21): 2405 x * (y \ T(y * (x \ z),x)) = ((x \ (z * y)) * x) / y. [para(2194(a,1),2404(a,1,2))]. given #2295 (H,wt=23): 2406 ((x \ (y / (z \ 1))) * x) * (z \ 1) = ((x \ (y * z)) * x) / z. [hyper(58,a,1230,a,b,2405,a)]. given #2296 (H,wt=23): 2407 (x \ 1) * ((y \ ((x \ 1) \ z)) * y) = ((y \ (z * x)) * y) / x. [hyper(2218,a,2406,a)]. given #2297 (H,wt=26): 2384 (x * y) \ (x * (y * (z * K(u \ 1,u)))) = L(z,y,x) * K(u \ 1,u). [para(2136(a,1),2381(a,1,2,2))]. given #2298 (H,wt=21): 2408 L(x * K(y \ 1,y),z,u) = L(x,z,u) * K(y \ 1,y). [hyper(430,a,2384,a)]. given #2299 (H,wt=27): 2265 T(x,x * y) * R(x \ T(x * y,x),z,u) = T(x * R(y,z,u),x * y). [para(2245(a,1),1660(a,1,2,1))]. given #2300 (H,wt=28): 2379 T((x \ y) \ 1,z) \ ((x \ y) \ 1) != u \ 1 | x \ (y * T(y \ x,z)) = u. [para(2217(a,2),43(a,1))]. given #2301 (H,wt=29): 2153 ((K(x \ 1,x) * y) * z) \ (K(x \ 1,x) * (z * y)) = K(z,K(x \ 1,x) * y). [hyper(112,a,2134,a,b,81,a)]. given #2302 (H,wt=29): 2155 (K(x \ 1,x) * (y * z)) \ ((K(x \ 1,x) * z) * y) = K(K(x \ 1,x) * z,y). [para(2134(a,2),11(a,2,1)),flip(a)]. given #2303 (H,wt=29): 2365 L((1 / x) \ y,1 / x,K(x \ 1,x)) != z | K(x \ 1,x) * ((x \ 1) \ y) = z. [para(959(a,2),2361(a,1))]. given #2304 (H,wt=29): 2409 (K(x \ 1,x) * (y * z)) \ (K(x \ 1,x) * (z * y)) = K(z,K(x \ 1,x) * y). [para(2098(a,1),2153(a,1,1))]. given #2305 (H,wt=29): 2410 (K(x \ 1,x) * (y * z)) \ (K(x \ 1,x) * (z * y)) = K(K(x \ 1,x) * z,y). [para(2098(a,1),2155(a,1,2))]. given #2306 (H,wt=19): 2412 K(K(x \ 1,x) * y,z) = K(y,K(x \ 1,x) * z). [hyper(58,a,2409,a(flip),b,2410,a),flip(a)]. given #2307 (H,wt=29): 2411 ((K(x \ 1,x) * (y * z)) \ (z * y)) * K(x \ 1,x) = K(K(x \ 1,x) * z,y). [hyper(2169,a,2410,a)]. given #2308 (H,wt=29): 2413 (((x * y) \ (y * x)) * K(z,z \ 1)) * K(z \ 1,z) = K(K(z \ 1,z) * y,x). [para(2161(a,1),2411(a,1,1))]. given #2309 (H,wt=25): 2414 (K(x,y) * K(z,z \ 1)) * K(z \ 1,z) = K(K(z \ 1,z) * x,y). [para(11(a,2),2413(a,1,1,1))]. given #2310 (H,wt=13): 2415 K(K(x \ 1,x) * y,z) = K(y,z). [hyper(1819,a,2414,a),flip(a)]. given #2311 (H,wt=11): 2418 K((x \ 1) \ 1,y) = K(x,y). [para(661(a,1),2415(a,1,1)),flip(a)]. given #2312 (H,wt=11): 2419 K(1 / x,y) = K(x \ 1,y). [para(945(a,1),2415(a,1,1)),flip(a)]. given #2313 (H,wt=13): 2417 K(x,K(y \ 1,y) * z) = K(x,z). [hyper(58,a,2412,a(flip),b,2415,a)]. given #2314 (H,wt=13): 2425 K(x,y * K(z,z \ 1)) = K(x,y). [para(1813(a,1),2417(a,1,2)),flip(a)]. given #2315 (H,wt=15): 2420 K(x * (1 / y),z) = K(x * (y \ 1),z). [para(1822(a,1),2415(a,1,1)),flip(a)]. given #2316 (H,wt=15): 2421 K((1 / x) * y,z) = K((x \ 1) * y,z). [para(1933(a,1),2415(a,1,1)),flip(a)]. given #2317 (H,wt=17): 2422 K((K(x,x \ 1) * y) \ z,u) = K(y \ z,u). [para(2171(a,2),2415(a,1,1))]. given #2318 (H,wt=17): 2426 K(x,y / (K(z,z \ 1) * u)) = K(x,y / u). [para(2132(a,2),2417(a,1,2))]. given #2319 (H,wt=17): 2427 K(x,y * (z * (u * (1 / u)))) = K(x,y * z). [para(2157(a,1),2417(a,1,2)),flip(a)]. given #2320 (H,wt=19): 2428 K(x,((1 / y) * z) * u) = K(x,((y \ 1) * z) * u). [para(2089(a,1),2425(a,1,2))]. given #2321 (H,wt=19): 2429 K((((x \ 1) \ 1) \ y) \ z,u) = K((x \ y) \ z,u). [para(1958(a,1),2422(a,1,1,1)),flip(a)]. given #2322 (H,wt=19): 2430 K(x,y / ((1 / z) * u)) = K(x,y / ((z \ 1) * u)). [para(1947(a,1),2426(a,1,2,2))]. given #2323 (H,wt=19): 2431 K(x,y * (z * (1 / u))) = K(x,y * (z * (u \ 1))). [para(1761(a,1),2427(a,1,2,2))]. given #2324 (H,wt=19): 2432 K(x,y * (z * ((u \ 1) \ 1))) = K(x,y * (z * u)). [para(1802(a,1),2427(a,1,2,2))]. given #2325 (H,wt=32): 1043 (x * (y * z)) * T((x * (y * z)) \ (x * y),u) = (x * y) * K(u \ (u / L(z,y,x)),u). [para(13(a,2),1039(a,2,2,1,2,2))]. given #2326 (H,wt=28): 2433 (x * y) * K(z \ (z / L(u,y,x)),z) = x * ((y * u) * T((y * u) \ y,z)). [hyper(788,a,1043,a),flip(a)]. given #2327 (H,wt=26): 2434 (x * y) * K(z \ (z / L(u,y,x)),z) = x * (y * (u * T(u \ 1,z))). [para(611(a,1),2433(a,2,2))]. given #2328 (H,wt=21): 2435 L(x * T(x \ 1,y),z,u) = K(y \ (y / L(x,z,u)),y). [hyper(429,a,2434,a)]. given #2329 (H,wt=21): 2437 L(x \ T(x,y),z,u) = K(y \ (y / L(x \ 1,z,u)),y). [para(882(a,1),2435(a,1,1))]. given #2330 (H,wt=24): 2436 L(x,y,z) * T(L(x,y,z) \ 1,u) = L(x * T(x \ 1,u),y,z). [hyper(272,a,886,a(flip),b,2435,a)]. given #2331 (H,wt=32): 1084 K(x \ (x / R(y,z,u)),x) = (((y * z) * u) * T(((y * z) * u) \ (z * u),x)) / (z * u). [para(15(a,2),1083(a,1,1,2,2))]. given #2332 (H,wt=28): 2439 K(x \ (x / R(y,z,u)),x) = (((y * z) * T((y * z) \ z,x)) * u) / (z * u). [para(1298(a,1),1084(a,2,1))]. given #2333 (H,wt=26): 2440 K(x \ (x / R(y,z,u)),x) = (((y * T(y \ 1,x)) * z) * u) / (z * u). [para(1324(a,1),2439(a,2,1,1))]. given #2334 (H,wt=24): 2441 K(x \ (x / R(y,z,u)),x) != w | R(y * T(y \ 1,x),z,u) = w. [para(2440(a,2),457(a,1))]. given #2335 (H,wt=27): 2442 R(x,y,z) * T(R(x,y,z) \ 1,u) != w | R(x * T(x \ 1,u),y,z) = w. [para(886(a,1),2441(a,1))]. given #2336 (H,wt=32): 1567 T(x,x \ 1) * y != ((x \ 1) \ z) * (u * T(x,x \ 1)) | (z * u) * T(x,x \ 1) = y. [para(310(a,1),38(a,1)),flip(a)]. given #2337 (H,wt=32): 2127 (K(x \ 1,x) * (y * z)) \ ((y * K(x \ 1,x)) * (z * u)) = L(u,z,y * K(x \ 1,x)). [para(2104(a,1),13(a,2,1)),flip(a)]. given #2338 (H,wt=32): 2159 R(x * K(y \ 1,y),K(y,y \ 1) * z,u) = ((x * z) * u) / ((K(y,y \ 1) * z) * u). [para(2137(a,1),94(a,1,1))]. given #2339 (H,wt=32): 2443 (K(x \ 1,x) * (y * z)) \ (K(x \ 1,x) * (y * (z * u))) = L(u,z,y * K(x \ 1,x)). [para(2104(a,1),2127(a,1,2))]. given #2340 (H,wt=24): 2445 L(L(x,y,z),z * y,K(u \ 1,u)) = L(x,y,z * K(u \ 1,u)). [hyper(733,a,2443,a)]. given #2341 (H,wt=15): 2446 L(x,y,z * K(u \ 1,u)) = L(x,y,z). [hyper(2102,a,2445,a),flip(a)]. given #2342 (H,wt=13): 2449 L(x,y,1 / z) = L(x,y,z \ 1). [para(634(a,1),2446(a,1,3)),flip(a)]. given #2343 (H,wt=13): 2452 L(x,y,(z \ 1) \ 1) = L(x,y,z). [para(72(a,1),2449(a,1,3)),flip(a)]. given #2344 (H,wt=15): 2450 L(x,y,K(z,z \ 1) * u) = L(x,y,u). [para(1810(a,1),2446(a,1,3)),flip(a)]. given #2345 (H,wt=19): 2453 L(x,y,z * (u * K(w,w \ 1))) = L(x,y,z * u). [para(2116(a,1),2450(a,1,3))]. given #2346 (H,wt=21): 2451 L(x,y,((1 / z) * u) * w) = L(x,y,((z \ 1) * u) * w). [para(2087(a,1),2446(a,1,3)),flip(a)]. given #2347 (H,wt=21): 2454 L(x,y,z * (u * (1 / w))) = L(x,y,z * (u * (w \ 1))). [para(1764(a,1),2453(a,1,3,2))]. given #2348 (H,wt=26): 2448 ((x * K(y \ 1,y)) * z) \ ((x * K(y \ 1,y)) * (z * u)) = L(u,z,x). [hyper(58,a,13,a(flip),b,2446,a)]. given #2349 (H,wt=26): 2455 (x * (K(y \ 1,y) * z)) \ ((x * K(y \ 1,y)) * (z * u)) = L(u,z,x). [para(2111(a,1),2448(a,1,1))]. given #2350 (H,wt=26): 2456 (x * (K(y \ 1,y) * z)) \ (x * (K(y \ 1,y) * (z * u))) = L(u,z,x). [para(2111(a,1),2455(a,1,2))]. given #2351 (H,wt=22): 2457 L(L(x,y,K(z \ 1,z)),K(z \ 1,z) * y,u) = L(x,y,u). [hyper(733,a,2456,a)]. given #2352 (H,wt=15): 2458 L(x,K(y \ 1,y) * z,u) = L(x,z,u). [para(2096(a,1),2457(a,1,1))]. given #2353 (H,wt=13): 2459 L(x,T(y,y \ 1),z) = L(x,y,z). [para(659(a,1),2458(a,1,2)),flip(a)]. given #2354 (H,wt=13): 2460 L(x,(y \ 1) \ 1,z) = L(x,y,z). [para(661(a,1),2458(a,1,2)),flip(a)]. given #2355 (H,wt=13): 2461 L(x,1 / y,z) = L(x,y \ 1,z). [para(945(a,1),2458(a,1,2)),flip(a)]. given #2356 (H,wt=15): 2462 L(x,y * K(z \ 1,z),u) = L(x,y,u). [para(1628(a,1),2458(a,1,2))]. given #2357 (H,wt=17): 2463 L(x,(1 / y) \ z,u) = L(x,(y \ 1) \ z,u). [para(1931(a,1),2458(a,1,2))]. given #2358 (H,wt=17): 2466 L(x,y \ (1 / z),u) = L(x,y \ (z \ 1),u). [para(2163(a,1),2462(a,1,2)),flip(a)]. given #2359 (H,wt=19): 2464 L(x,y * (K(z,z \ 1) * u),w) = L(x,y * u,w). [para(2156(a,1),2458(a,1,2)),flip(a)]. given #2360 (H,wt=21): 2468 L(x,y * (z \ (1 / u)),w) = L(x,y * (z \ (u \ 1)),w). [para(2165(a,1),2464(a,1,2,2))]. given #2361 (H,wt=22): 2465 (x * T(y,y \ 1)) * L(z,y,x) = x * (T(y,y \ 1) * z). [hyper(114,a,2459,a(flip),b,13,a(flip))]. given #2362 (H,wt=23): 2467 L(x,y * (z * (u * K(w,w \ 1))),v5) = L(x,y * (z * u),v5). [para(2116(a,1),2464(a,1,2,2))]. given #2363 (H,wt=25): 2469 (x * T(y,y \ 1)) * z != x * (T(y,y \ 1) * u) | L(u,y,x) = z. [para(2465(a,1),38(a,1)),flip(a)]. given #2364 (H,wt=25): 2470 L(x,y * (z * (u * ((w \ 1) \ 1))),v5) = L(x,y * (z * (u * w)),v5). [para(1799(a,1),2467(a,1,2,2,2))]. given #2365 (H,wt=25): 2471 L(x,y * (z * ((1 / u) * w)),v5) = L(x,y * (z * ((u \ 1) * w)),v5). [para(1948(a,1),2467(a,1,2,2,2))]. given #2366 (H,wt=32): 2444 R(x * K(y \ 1,y),K(y,y \ 1) * z,u) = ((x * z) * u) / (z * (K(y,y \ 1) * u)). [para(2130(a,1),2159(a,2,2))]. given #2367 (H,wt=32): 2472 R(x * K(y \ 1,y),K(y,y \ 1) * z,u) = K(y \ 1,y) * (((x * z) * u) / (z * u)). [hyper(272,a,2167,a(flip),b,2444,a),flip(a)]. given #2368 (H,wt=27): 2473 R(x * K(y \ 1,y),K(y,y \ 1) * z,u) = K(y \ 1,y) * R(x,z,u). [para(15(a,2),2472(a,2,2))]. given #2369 (H,wt=15): 2474 R(x,K(y,y \ 1) * z,u) = R(x,z,u). [hyper(2389,a,2473,a)]. given #2370 (H,wt=13): 2476 R(x,1 / y,z) = R(x,y \ 1,z). [para(1056(a,1),2474(a,1,2))]. given #2371 (H,wt=13): 2477 R(x,(y \ 1) \ 1,z) = R(x,y,z). [para(1060(a,1),2474(a,1,2))]. given #2372 (H,wt=15): 2479 R(x,y * K(z \ 1,z),u) = R(x,y,u). [para(1808(a,1),2474(a,1,2)),flip(a)]. given #2373 (H,wt=17): 2478 R(x,y * (1 / z),u) = R(x,y * (z \ 1),u). [para(1770(a,1),2474(a,1,2))]. given #2374 (H,wt=17): 2480 R(x,y / ((z \ 1) \ 1),u) = R(x,y / z,u). [para(1790(a,1),2479(a,1,2))]. given #2375 (H,wt=33): 1531 (x * ((y / (z * (x \ y))) / x)) * (z * (x \ y)) = x * ((z * ((x * (z \ 1)) / x)) * (x \ y)). [para(1409(a,1),1529(a,1,2)),flip(a)]. given #2376 (H,wt=34): 1653 (x * ((y * K(z \ 1,z)) * u)) \ ((x * (K(z \ 1,z) * y)) * u) = a(x,y * K(z \ 1,z),u). [para(1644(a,2),9(a,2,2,1)),flip(a)]. given #2377 (H,wt=34): 1852 R(L(x / (y \ 1),z,u) * K(y \ 1,y),y \ 1,y) = ((y \ 1) * L((y \ 1) \ x,z,u)) * y. [para(550(a,1),1843(a,2,1))]. given #2378 (H,wt=34): 2126 (K(x \ 1,x) * (y * (z * u))) \ (((y * K(x \ 1,x)) * z) * u) = a(y * K(x \ 1,x),z,u). [para(2104(a,1),9(a,2,1)),flip(a)]. given #2379 (H,wt=34): 2154 (x * (K(y \ 1,y) * (z * u))) \ ((x * z) * (K(y \ 1,y) * u)) = a(x,z,K(y \ 1,y) * u). [para(2134(a,2),9(a,2,1,2)),flip(a)]. given #2380 (H,wt=34): 2366 (x * (y * (K(z \ 1,z) * u))) \ ((x * (K(z \ 1,z) * y)) * u) = a(x,y,K(z \ 1,z) * u). [hyper(112,a,2168,a,b,79,a)]. given #2381 (H,wt=34): 2481 (x * (y * (K(z \ 1,z) * u))) \ ((x * (K(z \ 1,z) * y)) * u) = a(x,y * K(z \ 1,z),u). [para(2111(a,1),1653(a,1,1,2))]. given #2382 (H,wt=21): 2485 a(x,y * K(z \ 1,z),u) = a(x,y,K(z \ 1,z) * u). [hyper(58,a,2366,a(flip),b,2481,a),flip(a)]. given #2383 (H,wt=21): 2486 a(x,K(y \ 1,y) * z,u) = a(x,z,K(y \ 1,y) * u). [para(1628(a,2),2485(a,1,2))]. given #2384 (H,wt=34): 2482 R(L((x / (y \ 1)) * K(y \ 1,y),z,u),y \ 1,y) = ((y \ 1) * L((y \ 1) \ x,z,u)) * y. [para(2408(a,2),1852(a,1,1))]. given #2385 (H,wt=28): 2487 ((x \ 1) * L((x \ 1) \ y,z,u)) * x = R(L(y / (1 / x),z,u),x \ 1,x). [para(1841(a,1),2482(a,1,1,1)),flip(a)]. given #2386 (H,wt=28): 2488 ((x \ 1) * L((x \ 1) \ y,z,u)) * x = L(R(y / (1 / x),x \ 1,x),z,u). [hyper(272,a,24,a(flip),b,2487,a),flip(a)]. given #2387 (H,wt=21): 2489 ((x \ 1) * L((x \ 1) \ y,z,u)) * x = L(y * x,z,u). [para(1837(a,1),2488(a,2,1))]. given #2388 (H,wt=17): 2490 (x \ L(x * y,z,u)) * x = L(y * x,z,u). [para(915(a,1),2489(a,1,1))]. given #2389 (H,wt=17): 2491 L((x \ y) * x,z,u) = (x \ L(y,z,u)) * x. [para(5(a,1),2490(a,1,1,2,1)),flip(a)]. given #2390 (H,wt=13): 2493 (L(x,y,z) \ x) * L(x,y,z) = x. [hyper(188,a,2491,a),flip(a)]. given #2391 (H,wt=13): 2495 (x \ L(x,y,z)) * x = L(x,y,z). [para(151(a,1),2491(a,1,1)),flip(a)]. given #2392 (H,wt=13): 2497 x / L(x,y,z) = L(x,y,z) \ x. [hyper(122,a,2493,a)]. given #2393 (H,wt=13): 2498 (L(x,y,z) \ x) \ x = L(x,y,z). [hyper(117,a,2493,a)]. given #2394 (H,wt=10): 2507 T(x,L(x,y,z) \ x) = x. [hyper(594,a,2498,a(flip))]. given #2395 (H,wt=13): 2501 L(x,y,z) / x = x \ L(x,y,z). [hyper(122,a,2495,a)]. given #2396 (H,wt=13): 2502 (x \ L(x,y,z)) \ L(x,y,z) = x. [hyper(117,a,2495,a)]. given #2397 (H,wt=13): 2505 L(x,y,z) = a(x \ 1,z,y) * x. [para(1181(a,2),2495(a,1,1)),flip(a)]. given #2398 (H,wt=13): 2510 a(x \ 1,y,z) = L(x,z,y) / x. [hyper(272,a,1181,a,b,2501,a)]. given #2399 (H,wt=13): 2511 a(x \ 1,y,z) \ L(x,z,y) = x. [para(1181(a,2),2502(a,1,1))]. given #2400 (H,wt=13): 2512 a((x \ 1) \ 1,y,z) = a(x,y,z). [hyper(1179,a,2505,a),flip(a)]. given #2401 (H,wt=13): 2517 a(1 / x,y,z) = a(x \ 1,y,z). [para(74(a,1),2512(a,1,1,1)),flip(a)]. given #2402 (H,wt=13): 2520 L(x,y,z) = x * a(1 / x,z,y). [hyper(114,a,2517,a,b,1181,a(flip)),flip(a)]. given #2403 (H,wt=13): 2522 L(x,y,z) = a(1 / x,z,y) * x. [para(2517(a,2),2505(a,2,1))]. given #2404 (H,wt=10): 2524 T(x,a(1 / x,y,z)) = x. [hyper(215,a,2520,a(flip),b,2522,a(flip))]. given #2405 (H,wt=15): 2503 a(x,y,z) = (x \ 1) \ L(x \ 1,z,y). [hyper(30,a,1177,a,b,2495,a)]. given #2406 (H,wt=15): 2506 (1 / L(x,y,z)) * x = L(x,y,z) \ x. [hyper(525,a,2497,a)]. given #2407 (H,wt=15): 2508 T(L(x,y,z) \ x,x) = L(x,y,z) \ x. [hyper(49,a,2507,a)]. given #2408 (H,wt=15): 2509 (1 / x) * L(x,y,z) = x \ L(x,y,z). [hyper(527,a,2501,a)]. given #2409 (H,wt=15): 2513 T(a(x \ 1,y,z),x) = a(x \ 1,y,z). [hyper(215,a,2505,a(flip),b,1183,a(flip))]. given #2410 (H,wt=15): 2516 (x \ 1) * a(x,y,z) = L(x \ 1,z,y). [hyper(114,a,2512,a(flip),b,1181,a(flip))]. given #2411 (H,wt=15): 2525 T(1 / L(x,y,z),x) = L(x,y,z) \ 1. [hyper(215,a,2506,a,b,683,a)]. given #2412 (H,wt=16): 2499 L(x,y,z) != u \ x | L(x,y,z) \ x = u. [para(2493(a,1),129(a,1,2)),flip(a)]. given #2413 (H,wt=16): 2500 x / L(x,y,z) != u | L(x,y,z) \ x = u. [para(2493(a,1),279(a,1,1))]. given #2414 (H,wt=16): 2504 L(x,y,z) != u * x | x \ L(x,y,z) = u. [para(2495(a,1),39(a,1))]. given #2415 (H,wt=16): 2521 x * a(1 / x,y,z) != u | L(x,z,y) = u. [para(2517(a,2),1198(a,1,2))]. given #2416 (H,wt=17): 2515 T(a(x \ 1,y,z) \ 1,x) = L(x,z,y) \ x. [para(2505(a,2),2258(a,2,1))]. given #2417 (H,wt=15): 2533 L(x,y,z) \ x = a(x \ 1,z,y) \ 1. [hyper(35,a,2508,a,b,2515,a)]. given #2418 (H,wt=15): 2535 1 / (L(x,y,z) \ x) = a(x \ 1,z,y). [hyper(178,a,2533,a(flip))]. given #2419 (H,wt=15): 2538 (x \ L(x,y,z)) \ 1 = L(x,y,z) \ x. [para(1181(a,1),2533(a,2,1)),flip(a)]. given #2420 (H,wt=17): 2519 a(T(1 / x,y),z,u) = a(T(x \ 1,y),z,u). [para(1616(a,1),2512(a,1,1)),flip(a)]. given #2421 (H,wt=17): 2532 T(a(x \ 1,y,z) \ 1,x) = x / L(x,z,y). [hyper(272,a,2497,a,b,2515,a),flip(a)]. given #2422 (H,wt=17): 2536 L(1 / x,y,z) \ (1 / x) = a(x,z,y) \ 1. [para(74(a,1),2533(a,2,1,1))]. given #2423 (H,wt=18): 2514 L(x,y,z) != x * u | T(a(x \ 1,z,y),x) = u. [para(2505(a,2),216(a,2)),flip(a)]. given #2424 (H,wt=18): 2526 L(x,y,z) \ x != u * x | 1 / L(x,y,z) = u. [para(2506(a,1),39(a,1))]. given #2425 (H,wt=18): 2528 T(x,y) != L(y,z,u) \ y | L(y,z,u) \ y = x. [para(2508(a,1),44(a,1)),flip(a)]. given #2426 (H,wt=18): 2531 L(x \ 1,y,z) != (x \ 1) * u | a(x,z,y) = u. [para(2516(a,1),38(a,1))]. given #2427 (H,wt=18): 2537 1 / (L(x,y,z) \ x) != u | a(x \ 1,z,y) = u. [para(2533(a,2),280(a,1,2))]. given #2428 (H,wt=18): 2539 a(x \ 1,y,z) \ 1 != u | L(x,z,y) \ x = u. [para(2535(a,1),290(a,1,1))]. given #2429 (H,wt=18): 2541 (x \ L(x,y,z)) \ 1 != u | L(x,y,z) \ x = u. [para(1181(a,1),2539(a,1,1))]. given #2430 (H,wt=20): 2492 L(x * y,z,u) != w * y | y \ L(y * x,z,u) = w. [para(2490(a,1),39(a,1))]. given #2431 (H,wt=20): 2527 L(x,y,z) \ x != x * u | T(1 / L(x,y,z),x) = u. [para(2506(a,1),216(a,2)),flip(a)]. given #2432 (H,wt=20): 2540 T(x,y) != y / L(y,z,u) | a(y \ 1,u,z) \ 1 = x. [para(2532(a,1),44(a,1)),flip(a)]. given #2433 (H,wt=21): 2518 a(T(1 / x,y) \ 1,z,u) = a(T(x \ 1,y) \ 1,z,u). [para(1616(a,1),2512(a,1,1,1)),flip(a)]. given #2434 (H,wt=21): 2529 x \ (L(x,y,z) * (u * x)) = ((x \ L(x,y,z)) * u) * x. [para(2509(a,1),664(a,1,1,1)),flip(a)]. given #2435 (H,wt=19): 2542 ((x \ L(x,y,z)) * u) * x = L(x,y,z) * T(u,x). [hyper(58,a,1278,a(flip),b,2529,a),flip(a)]. given #2436 (H,wt=19): 2544 (a(x \ 1,y,z) * u) * x = L(x,z,y) * T(u,x). [para(1181(a,2),2542(a,1,1,1))]. given #2437 (H,wt=21): 2534 T(T(a(x \ 1,y,z) \ 1,u),x) = T(L(x,z,y) \ x,u). [para(2515(a,1),18(a,1,1)),flip(a)]. given #2438 (H,wt=22): 2494 (x * y) * ((z \ L(u,y,x)) * z) = x * (y * ((z \ u) * z)). [hyper(114,a,2491,a(flip),b,13,a(flip))]. given #2439 (H,wt=22): 2496 L((x \ ((y \ 1) \ z)) * x,y \ 1,y) = (x \ (y * z)) * x. [para(436(a,1),2491(a,2,1,2))]. given #2440 (H,wt=22): 2543 L(x,y,z) * T(u,x) != w * x | (x \ L(x,y,z)) * u = w. [para(2542(a,1),39(a,1))]. given #2441 (H,wt=22): 2545 L(x,y,z) * T(u,x) != w * x | a(x \ 1,z,y) * u = w. [para(2544(a,1),39(a,1))]. given #2442 (H,wt=23): 2523 a(1 / x,y,z) * u != L(x,z,y) | T(x,a(1 / x,y,z)) = u. [para(2520(a,2),216(a,2))]. given #2443 (H,wt=23): 2547 (x \ 1) * ((y \ ((x \ 1) \ z)) * y) = x \ ((y \ (x * z)) * y). [hyper(112,a,2496,a(flip),b,231,a),flip(a)]. given #2444 (H,wt=19): 2549 ((x \ (y * z)) * x) / z = z \ ((x \ (z * y)) * x). [hyper(58,a,2407,a(flip),b,2547,a)]. given #2445 (H,wt=19): 2550 (x \ ((y \ (x * z)) * y)) * x = (y \ (z * x)) * y. [hyper(125,a,2549,a)]. given #2446 (H,wt=17): 2553 (x \ ((y \ (x * 1)) * y)) * x = (y \ x) * y. [para(2(a,1),2550(a,2,1,2))]. given #2447 (H,wt=15): 2554 (x \ ((y \ x) * y)) * x = (y \ x) * y. [para(3(a,1),2553(a,1,1,2,1,2))]. given #2448 (H,wt=13): 2555 K(x \ y,x) * y = (x \ y) * x. [para(82(a,1),2554(a,1,1))]. given #2449 (H,wt=9): 2556 T(x,K(y \ x,y)) = x. [hyper(399,a,2555,a)]. given #2450 (H,wt=11): 2558 T(x * y,K(y,x)) = x * y. [para(4(a,1),2556(a,1,2,1))]. given #2451 (H,wt=11): 2559 K(x,y) \ (x * y) = y * x. [hyper(584,a,2558,a)]. given #2452 (H,wt=11): 2560 K(x,y) = (x * y) / (y * x). [para(2558(a,1),263(a,1,2)),flip(a)]. given #2453 (H,wt=11): 2561 K(x,y) * (y * x) = x * y. [hyper(127,a,2559,a)]. given #2454 (H,wt=11): 2563 K(x,y) * (x * y) = y * x. [para(28(a,1),2561(a,1,1))]. given #2455 (H,wt=14): 2562 x * (y * z) != z * y | K(z,y) = x. [para(2559(a,1),121(a,1,2))]. given #2456 (H,wt=14): 2565 x * (y * z) != z * y | K(y,z) = x. [para(2563(a,1),39(a,1)),flip(a)]. given #2457 (H,wt=15): 2557 K(x \ (y \ x),x) = y * T(y \ 1,x). [hyper(30,a,1074,a(flip),b,2555,a),flip(a)]. given #2458 (H,wt=22): 2551 (x \ ((y \ (x * z)) * y)) * x != u | (y \ (z * x)) * y = u. [para(2549(a,1),227(a,1,1))]. given #2459 (H,wt=22): 2552 (x \ ((y \ (x * z)) * y)) * x != u * y | y \ (z * x) = u. [para(2549(a,1),123(a,1,1))]. given #2460 (H,wt=23): 2548 x \ ((y \ (x * y)) * y) = ((x \ 1) * T((x \ 1) \ 1,y)) * y. [hyper(1333,a,2547,a),flip(a)]. given #2461 (H,wt=21): 2566 ((x \ 1) * T((x \ 1) \ 1,y)) * y = x \ (T(x,y) * y). [para(17(a,2),2548(a,1,2,1)),flip(a)]. given #2462 (H,wt=19): 2567 ((x \ 1) * T((x \ 1) \ 1,y)) * y = (x * y) / x. [hyper(272,a,2307,a(flip),b,2566,a),flip(a)]. given #2463 (H,wt=13): 2568 (x \ T(x,y)) * y = (x * y) / x. [para(882(a,1),2567(a,1,1))]. given #2464 (H,wt=13): 2569 x * (y \ T(y,x)) = (y * x) / y. [hyper(1900,a,2568,a)]. given #2465 (H,wt=13): 2570 T(x,y) * (y \ T(y,T(x,y))) = x. [hyper(272,a,206,a(flip),b,2569,a),flip(a)]. given #2466 (H,wt=11): 2574 T(x,y) * (y \ T(y,x)) = x. [para(2229(a,1),2570(a,1,2,2))]. given #2467 (H,wt=11): 2575 x * (T(y,x) \ y) = T(x,y). [hyper(2360,a,2574,a)]. given #2468 (H,wt=11): 2576 T(x,y) \ x = y \ T(y,x). [hyper(117,a,2574,a)]. given #2469 (H,wt=13): 2573 (x * (y \ T(y,x))) * y = y * x. [hyper(125,a,2569,a(flip))]. given #2470 (H,wt=13): 2580 (x * y) / x = y * (T(y,x) \ y). [para(2576(a,2),2569(a,1,2)),flip(a)]. given #2471 (H,wt=11): 2581 T(x * (T(x,y) \ x),y) = x. [para(2580(a,1),205(a,1,1))]. given #2472 (H,wt=14): 2577 T(x,y) \ x != z | y \ T(y,x) = z. [para(2574(a,1),287(a,1,2))]. given #2473 (H,wt=15): 2571 (x \ y) * (x \ T(x,x \ y)) = y / x. [hyper(272,a,140,a(flip),b,2569,a),flip(a)]. given #2474 (H,wt=15): 2579 T(x,y \ 1) \ x = y * T(y \ 1,x). [hyper(29,a,2188,a,b,2575,a),flip(a)]. given #2475 (H,wt=15): 2582 K(x \ (y \ x),x) = T(x,y \ 1) \ x. [hyper(272,a,2557,a,b,2579,a)]. given #2476 (H,wt=17): 2572 x * ((y * (x \ 1)) / y) = y \ T(y,x \ 1). [hyper(29,a,1920,a,b,2569,a)]. given #2477 (H,wt=13): 2584 T(x,x / (x * y)) = T(x,y \ 1). [hyper(1119,a,2572,a(flip))]. given #2478 (H,wt=14): 2587 T(x,R(y \ 1,y,x)) = T(x,y \ 1). [hyper(58,a,2209,a,b,2584,a)]. given #2479 (H,wt=15): 2586 (x * ((x / y) / x)) * y = T(x,y \ 1). [hyper(1532,a,2584,a)]. given #2480 (H,wt=15): 2588 x \ T(y,x \ 1) = y * ((x \ y) / y). [para(2587(a,1),1990(a,1,2))]. given #2481 (H,wt=17): 2578 T(L(x,y,x),y) \ L(x,y,x) = y \ T(y,x). [hyper(112,a,2326,a(flip),b,2575,a),flip(a)]. given #2482 (H,wt=16): 2589 T(x,x * y) \ L(x,y,x) = y \ T(y,x). [para(598(a,1),2578(a,1,1))]. given #2483 (H,wt=21): 2583 (x * ((y * (x \ z)) / y)) / z = y \ T(y,(x / z) \ 1). [hyper(58,a,1704,a(flip),b,2572,a)]. given #2484 (H,wt=24): 2530 x * T(a(x \ 1,y,z),u) != w | T(a(x \ 1,y,z),u) * x = w. [para(2513(a,1),342(a,1,2,1))]. given #2485 (H,wt=25): 2564 (x * y) \ (K(x,y) * (y * (x * z))) = L(L(z,x,y),y * x,K(x,y)). [para(2561(a,1),427(a,1,1))]. given #2486 (H,wt=27): 2546 (x * y) * ((z \ ((x * y) \ u)) * z) = x * (y * ((z \ (y \ (x \ u))) * z)). [para(254(a,1),2494(a,1,2,1,2))]. given #2487 (H,wt=31): 2585 (x * ((y / (z * (x \ y))) / x)) * (z * (x \ y)) = x * ((x \ T(x,z \ 1)) * (x \ y)). [para(2572(a,1),1531(a,2,2,1))]. given #2488 (H,wt=34): 2483 (K(x \ 1,x) * (y * (z * u))) \ ((K(x \ 1,x) * (y * z)) * u) = a(y * K(x \ 1,x),z,u). [para(2104(a,1),2126(a,1,2,1))]. given #2489 (H,wt=34): 2484 K(x \ 1,x) * ((y * (K(x \ 1,x) * (z * u))) \ ((y * z) * u)) = a(y,z,K(x \ 1,x) * u). [hyper(2362,a,2154,a)]. given #2490 (H,wt=34): 2590 (K(x \ 1,x) * (y * (z * u))) \ (K(x \ 1,x) * ((y * z) * u)) = a(y * K(x \ 1,x),z,u). [para(2098(a,1),2483(a,1,2))]. given #2491 (H,wt=26): 2592 L(a(x,y,z),x * (y * z),K(u \ 1,u)) = a(x * K(u \ 1,u),y,z). [hyper(734,a,2590,a)]. given #2492 (H,wt=15): 2593 a(x * K(y \ 1,y),z,u) = a(x,z,u). [hyper(2102,a,2592,a),flip(a)]. given #2493 (H,wt=17): 2595 a(x * (1 / y),z,u) = a(x * (y \ 1),z,u). [para(1807(a,1),2593(a,1,1)),flip(a)]. given #2494 (H,wt=34): 2591 K(x \ 1,x) * ((y * (z * u)) \ ((x * (1 / x)) * ((y * z) * u))) = a(y,z,K(x \ 1,x) * u). [para(2158(a,1),2484(a,1,2))]. given #2495 (H,wt=22): 2596 a(x,y,K(z \ 1,z) * u) = (x * (y * u)) \ ((x * y) * u). [hyper(58,a,2170,a(flip),b,2591,a),flip(a)]. given #2496 (H,wt=15): 2598 a(x,y,K(z \ 1,z) * u) = a(x,y,u). [hyper(272,a,9,a,b,2596,a),flip(a)]. given #2497 (H,wt=13): 2600 a(x,y,(z \ 1) \ 1) = a(x,y,z). [para(661(a,1),2598(a,1,3)),flip(a)]. given #2498 (H,wt=13): 2601 a(x,y,1 / z) = a(x,y,z \ 1). [para(945(a,1),2598(a,1,3)),flip(a)]. given #2499 (H,wt=15): 2599 a(x,K(y \ 1,y) * z,u) = a(x,z,u). [hyper(58,a,2486,a,b,2598,a)]. given #2500 (H,wt=13): 2604 a(x,(y \ 1) \ 1,z) = a(x,y,z). [para(661(a,1),2599(a,1,2)),flip(a)]. given #2501 (H,wt=13): 2605 a(x,1 / y,z) = a(x,y \ 1,z). [para(945(a,1),2599(a,1,2)),flip(a)]. given #2502 (H,wt=15): 2602 a(x,y,z * K(u \ 1,u)) = a(x,y,z). [para(1628(a,1),2598(a,1,3))]. given #2503 (H,wt=17): 2606 a(x,y,z \ (1 / u)) = a(x,y,z \ (u \ 1)). [para(2163(a,1),2602(a,1,3)),flip(a)]. given #2504 (H,wt=35): 2438 L(x \ T(x,y * L(x \ 1,z,u)),z,u) = K((y * L(x \ 1,z,u)) \ y,y * L(x \ 1,z,u)). [para(6(a,1),2437(a,2,1,2))]. given #2505 (H,wt=26): 2607 K((x * L(x \ 1,y,z)) \ x,x * L(x \ 1,y,z)) = L(x \ x,y,z). [para(895(a,1),2438(a,1,1,2)),flip(a)]. given #2506 (H,wt=24): 2608 K((x * L(x \ 1,y,z)) \ x,x * L(x \ 1,y,z)) = L(1,y,z). [para(61(a,1),2607(a,2,1))]. given #2507 (H,wt=21): 2609 K((x * L(x \ 1,y,z)) \ x,x * L(x \ 1,y,z)) = 1. [hyper(272,a,320,a(flip),b,2608,a),flip(a)]. given #2508 (H,wt=23): 2612 ((x * L(x \ 1,y,z)) \ x) * (x * L(x \ 1,y,z)) = x * 1. [hyper(114,a,2609,a(flip),b,82,a),flip(a)]. given #2509 (H,wt=21): 2613 ((x * L(x \ 1,y,z)) \ x) * (x * L(x \ 1,y,z)) = x. [hyper(272,a,3,a(flip),b,2612,a),flip(a)]. given #2510 (H,wt=24): 2614 x / (x * L(x \ 1,y,z)) != u | (x * L(x \ 1,y,z)) \ x = u. [para(2613(a,1),279(a,1,1))]. given #2511 (H,wt=37): 1773 ((x * y) * (1 / z)) / ((y * (z \ 1)) * K(z,z \ 1)) = R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)). [para(1764(a,1),449(a,1,1))]. given #2512 (H,wt=31): 2615 R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)) = ((x * y) * (1 / z)) / (y * (1 / z)). [para(1764(a,1),1773(a,1,2)),flip(a)]. given #2513 (H,wt=27): 2616 R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)) != u | R(x,y,1 / z) = u. [para(2615(a,2),457(a,1))]. given #2514 (H,wt=13): 2617 R(x,y,1 / z) = R(x,y,z \ 1). [hyper(2616,a,2138,a)]. given #2515 (H,wt=13): 2619 R(x,y,(z \ 1) \ 1) = R(x,y,z). [para(72(a,1),2617(a,1,3)),flip(a)]. given #2516 (H,wt=20): 2618 R(R(x,y,z \ 1),u,K(w \ 1,w)) = R(x,y,1 / z). [hyper(272,a,2139,a,b,2617,a)]. given #2517 (H,wt=22): 2620 R(x,y,z) * (y * ((z \ 1) \ 1)) = (x * y) * ((z \ 1) \ 1). [para(2619(a,1),93(a,1,1))]. given #2518 (H,wt=25): 2621 (x * y) * ((z \ 1) \ 1) != u * (y * ((z \ 1) \ 1)) | R(x,y,z) = u. [para(2620(a,1),39(a,1))]. given #2519 (H,wt=37): 2367 (x * (y * (K(z \ 1,z) * u))) \ ((x * (K(z \ 1,z) * y)) * u) != w | a(x,y,K(z \ 1,z) * u) = w. [para(2168(a,2),588(a,1,2))]. given #2520 (H,wt=40): 1530 (x * (R(y / z,z,y \ u) / x)) * (z * (y \ u)) = x * ((z * (y \ u)) * ((x * ((z * (y \ u)) \ (x \ u))) / x)). [para(461(a,2),1529(a,2,1,2,1)),flip(a)]. given #2521 (H,wt=36): 2622 (x * (R(y / z,z,y \ u) / x)) * (z * (y \ u)) = (x * ((u / (z * (y \ u))) / x)) * (z * (y \ u)). [hyper(272,a,1529,a(flip),b,1530,a),flip(a)]. given #2522 (H,wt=36): 2623 R(x * ((y / z) / x),z,y \ u) * (z * (y \ u)) = (x * ((u / (z * (y \ u))) / x)) * (z * (y \ u)). [para(2396(a,2),2622(a,1,1))]. given #2523 (H,wt=31): 2624 (x * ((y / (z * (u \ y))) / x)) * (z * (u \ y)) = ((x * ((u / z) / x)) * z) * (u \ y). [hyper(247,a,2623,a),flip(a)]. given #2524 (H,wt=27): 2626 (x * ((y / (z * (x \ y))) / x)) * (z * (x \ y)) = T(x,z \ 1) * (x \ y). [para(2586(a,1),2624(a,2,1))]. given #2525 (H,wt=23): 2627 x * ((x \ T(x,y \ 1)) * (x \ z)) = T(x,y \ 1) * (x \ z). [hyper(58,a,2585,a(flip),b,2626,a)]. given #2526 (H,wt=23): 2628 T(x,(y \ 1) \ 1) * (x \ z) = x * ((x \ T(x,y)) * (x \ z)). [para(1970(a,1),2627(a,1,2,1,2)),flip(a)]. given #2527 (H,wt=19): 2629 x * ((x \ T(x,y)) * (x \ z)) = T(x,y) * (x \ z). [para(1970(a,1),2628(a,1,1)),flip(a)]. given #2528 (H,wt=19): 2630 T(x,y) * (x \ (x * z)) = x * ((x \ T(x,y)) * z). [para(4(a,1),2629(a,1,2,2)),flip(a)]. given #2529 (H,wt=15): 2631 x \ (T(x,y) * z) = (x \ T(x,y)) * z. [hyper(802,a,2630,a)]. given #2530 (H,wt=10): 2635 R(x,x \ T(x,y),z) = x. [hyper(626,a,2631,a)]. given #2531 (H,wt=10): 2636 L(x,y \ T(y,z),y) = x. [hyper(623,a,2631,a),flip(a)]. given #2532 (H,wt=10): 2638 L(x,T(y,z) \ y,z) = x. [para(2576(a,2),2636(a,1,2))]. given #2533 (H,wt=15): 2632 x * ((x \ T(x,y)) * z) = T(x,y) * z. [hyper(507,a,2630,a),flip(a)]. given #2534 (H,wt=15): 2633 (x \ T(x,y)) * z = T(x,y) * (x \ z). [hyper(1015,a,2631,a),flip(a)]. given #2535 (H,wt=15): 2640 (x \ T(x,y)) * (x * z) = T(x,y) * z. [hyper(29,a,1000,a(flip),b,2632,a),flip(a)]. given #2536 (H,wt=10): 2645 L(x,y,y \ T(y,z)) = x. [hyper(2193,a,2640,a(flip))]. given #2537 (H,wt=15): 2643 x * ((T(y,x) \ y) * z) = T(x,y) * z. [para(2576(a,2),2632(a,1,2,1))]. given #2538 (H,wt=13): 2646 (T(x,y) \ x) * (x * y) = y * x. [hyper(29,a,2226,a(flip),b,2643,a),flip(a)]. given #2539 (H,wt=9): 2647 K(x,y) = T(x,y) \ x. [hyper(2565,a,2646,a)]. given #2540 (H,wt=8): 2660 L(x,K(y,z),z) = x. [para(2647(a,2),2638(a,1,2))]. given #2541 (H,wt=8): 2662 a(x,y,K(z,y)) = 1. [hyper(1202,a,2660,a)]. given #2542 (H,wt=8): 2663 L(x,K(y,z),y) = x. [para(28(a,1),2660(a,1,2))]. given #2543 (H,wt=8): 2665 a(x,y,K(y,z)) = 1. [para(28(a,1),2662(a,1,3))]. given #2544 (H,wt=9): 2648 K(x,y) = T(y,x) \ y. [hyper(2562,a,2646,a)]. given #2545 (H,wt=9): 2649 K(x,y) = x / T(x,y). [hyper(272,a,1871,a,b,2647,a),flip(a)]. given #2546 (H,wt=9): 2651 K(x,y) = y \ T(y,x). [hyper(272,a,2576,a(flip),b,2647,a),flip(a)]. given #2547 (H,wt=8): 2693 R(x,K(y,x),z) = x. [para(2651(a,2),2635(a,1,2))]. given #2548 (H,wt=8): 2695 L(x,y,K(z,y)) = x. [para(2651(a,2),2645(a,1,3))]. given #2549 (H,wt=8): 2696 R(x,K(x,y),z) = x. [para(28(a,1),2693(a,1,2))]. given #2550 (H,wt=8): 2698 L(x,y,K(y,z)) = x. [para(28(a,1),2695(a,1,3))]. given #2551 (H,wt=8): 2703 a(x,K(y,z),y) = 1. [hyper(1202,a,2698,a)]. given #2552 (H,wt=8): 2706 L(x,K(x,y),z) = x. [hyper(47,a,2703,a)]. given #2553 (H,wt=8): 2707 L(x,K(y,x),z) = x. [para(28(a,1),2706(a,1,2))]. given #2554 (H,wt=9): 2652 T(x,y) = x * K(y,x). [hyper(114,a,2647,a,b,2576,a(flip)),flip(a)]. given #2555 (H,wt=9): 2654 T(x,y) * K(y,x) = x. [hyper(114,a,28,a,b,2647,a(flip))]. given #2556 (H,wt=9): 2658 K(x,y) * T(x,y) = x. [para(2647(a,2),1873(a,1,1))]. given #2557 (H,wt=9): 2668 K(x,y) * T(y,x) = y. [hyper(1911,a,2648,a)]. given #2558 (H,wt=9): 2670 K(x,y) = y / T(y,x). [hyper(272,a,1871,a,b,2648,a),flip(a)]. given #2559 (H,wt=9): 2672 K(x,y) = x \ T(x,y). [hyper(272,a,2576,a(flip),b,2648,a),flip(a)]. given #2560 (H,wt=9): 2674 T(x,y) = x * K(x,y). [hyper(114,a,2648,a,b,2576,a(flip)),flip(a)]. given #2561 (H,wt=9): 2676 T(x,y) = x / K(y,x). [hyper(178,a,2648,a(flip)),flip(a)]. given #2562 (H,wt=9): 2682 T(x,y) = K(y,x) \ x. [para(2648(a,2),1872(a,1,1)),flip(a)]. given #2563 (H,wt=9): 2685 T(x * K(y,x),y) = x. [para(2648(a,2),2581(a,1,1,2))]. given #2564 (H,wt=7): 2765 T(T(x,y),y) = x. [para(2652(a,2),2685(a,1,1))]. given #2565 (H,wt=9): 2692 T(x,y) = K(y,x) * x. [para(2651(a,2),2186(a,1,1)),flip(a)]. given #2566 (H,wt=9): 2730 K(x,y) = T(x,y) / x. [hyper(272,a,2185,a,b,2672,a),flip(a)]. given #2567 (H,wt=9): 2741 T(x,y) = K(x,y) * x. [para(2672(a,2),2186(a,1,1)),flip(a)]. given #2568 (H,wt=9): 2774 T(x,y) = (y * x) / y. [hyper(242,a,2765,a),flip(a)]. given #2569 (H,wt=9): 2775 T(x \ y,x) = y / x. [hyper(225,a,2765,a),flip(a)]. given #2570 (H,wt=9): 2778 T(x,y) * y = y * x. [hyper(114,a,2765,a(flip),b,101,a),flip(a)]. given #2571 (H,wt=10): 2664 L(K(x,y),y,z) = K(x,y). [hyper(47,a,2662,a)]. given #2572 (H,wt=10): 2667 L(K(x,y),x,z) = K(x,y). [hyper(47,a,2665,a)]. given #2573 (H,wt=10): 2782 T(x,y) != z | T(z,y) = x. [para(2765(a,1),44(a,1)),flip(a)]. given #2574 (H,wt=10): 2810 T(T(x,y),y) != z | x = z. [para(2774(a,2),281(a,1))]. given #2575 (H,wt=11): 2656 T(x,y) \ 1 = x \ K(x,y). [para(2647(a,2),691(a,1,2)),flip(a)]. given #2576 (H,wt=11): 2657 K(x,y) / x = 1 / T(x,y). [para(2647(a,2),1868(a,1,1))]. given #2577 (H,wt=11): 2679 T(x,y) \ 1 = x \ K(y,x). [para(2648(a,2),691(a,1,2)),flip(a)]. given #2578 (H,wt=11): 2681 K(x,y) / y = 1 / T(y,x). [para(2648(a,2),1868(a,1,1))]. given #2579 (H,wt=11): 2684 (x * y) / x = y * K(x,y). [para(2648(a,2),2580(a,2,2))]. given #2580 (H,wt=11): 2699 L(x,y,K(z,y)) != u | x = u. [para(2695(a,1),45(a,2))]. given #2581 (H,wt=11): 2705 L(x,y,K(y,z)) != u | x = u. [para(2698(a,1),45(a,2))]. given #2582 (H,wt=11): 2717 K(x,y) / T(y,x) = 1 / y. [para(2652(a,2),2074(a,1,2))]. given #2583 (H,wt=11): 2718 T(x,y * K(x,y)) = T(x,y). [para(2652(a,1),2229(a,1,2))]. given #2584 (H,wt=11): 2731 K(x,y) = T(x,y) * (x \ 1). [hyper(272,a,685,a,b,2672,a),flip(a)]. given #2585 (H,wt=11): 2740 T(x,y) \ x = K(x,y) \ 1. [para(2672(a,2),2056(a,1,1)),flip(a)]. given #2586 (H,wt=9): 2878 K(x,y) \ 1 = K(y,x). [hyper(58,a,2648,a,b,2740,a),flip(a)]. given #2587 (H,wt=9): 2879 K(x,y) \ 1 = K(x,y). [hyper(58,a,2647,a,b,2740,a),flip(a)]. given #2588 (H,wt=9): 2880 1 / K(x,y) = K(y,x). [hyper(178,a,2878,a)]. given #2589 (H,wt=9): 2884 1 / K(x,y) = K(x,y). [hyper(178,a,2879,a)]. given #2590 (H,wt=11): 2745 T(x,y) * K(y,T(x,y)) = x. [para(2672(a,2),2570(a,1,2))]. given #2591 (H,wt=9): 2887 K(x,T(y,x)) = K(x,y). [hyper(29,a,2654,a,b,2745,a),flip(a)]. given #2592 (H,wt=9): 2888 K(T(x,y),y) = K(y,x). [hyper(508,a,2887,a)]. given #2593 (H,wt=9): 2892 K(T(x,y),y) = K(x,y). [hyper(272,a,28,a,b,2888,a),flip(a)]. given #2594 (H,wt=11): 2746 (x * K(y,x)) * y = y * x. [para(2672(a,2),2573(a,1,1,2))]. given #2595 (H,wt=11): 2766 T(x,x \ y) = y / (y / x). [hyper(2294,a,2765,a),flip(a)]. given #2596 (H,wt=11): 2767 T((x * y) \ y,y) = x \ 1. [hyper(2281,a,2765,a),flip(a)]. given #2597 (H,wt=11): 2768 T(x \ y,y) = (x / y) \ 1. [hyper(2273,a,2765,a),flip(a)]. given #2598 (H,wt=11): 2772 T(x / (y \ 1),y) = y * x. [hyper(697,a,2765,a),flip(a)]. given #2599 (H,wt=11): 2773 T(x * y,y) = (1 / y) \ x. [hyper(382,a,2765,a),flip(a)]. given #2600 (H,wt=11): 2777 T(T(T(x,y),z),y) = T(x,z). [hyper(35,a,18,a,b,2765,a),flip(a)]. given #2601 (H,wt=11): 2780 (1 / x) * T(y,x) = y / x. [hyper(113,a,2765,a(flip),b,365,a(flip)),flip(a)]. given #2602 (H,wt=11): 2789 x \ T(y,x) = y * (x \ 1). [para(2765(a,1),676(a,1,1)),flip(a)]. given #2603 (H,wt=11): 2793 (1 / T(x,y)) * y = y / x. [para(2765(a,1),2242(a,1,2)),flip(a)]. given #2604 (H,wt=11): 2794 (x / y) / x = 1 / T(y,x). [para(2765(a,1),2256(a,1,1,2))]. given #2605 (H,wt=11): 2805 (x * (y / x)) / x = x \ y. [hyper(581,a,2774,a),flip(a)]. given #2606 (H,wt=11): 2806 x * ((x * y) / x) = y * x. [hyper(114,a,2774,a(flip),b,17,a(flip))]. given #2607 (H,wt=11): 2824 K(x,y) = ((y * x) / y) \ x. [para(2774(a,1),2647(a,2,1))]. given #2608 (H,wt=11): 2825 K(x,y) * ((y * x) / y) = x. [para(2774(a,1),2658(a,1,2))]. given #2609 (H,wt=11): 2826 ((x \ y) \ y) \ y = y / x. [hyper(2239,a,2775,a)]. given #2610 (H,wt=10): 2949 L(x,x,x) \ 1 = 1 / x. [para(2012(a,2),2826(a,1,1))]. given #2611 (H,wt=11): 2828 (x \ y) * x = x * (y / x). [hyper(114,a,2775,a(flip),b,17,a(flip)),flip(a)]. given #2612 (H,wt=11): 2831 (x \ y) \ (x * (y / x)) = x. [para(2775(a,1),207(a,1,2,2))]. given #2613 (H,wt=11): 2840 x \ (y * (x * x)) = x * y. [hyper(924,a,2778,a)]. given #2614 (H,wt=10): 2952 T(x,y * y) = L(x,y,y). [hyper(809,a,2840,a)]. given #2615 (H,wt=10): 2962 L(T(x,y * y),y,y) = x. [hyper(2810,a,2952,a),flip(a)]. given #2616 (H,wt=9): 2965 L(L(x,y,y),y,y) = x. [para(2952(a,1),2962(a,1,1))]. given #2617 (H,wt=11): 2842 T(x,y / x) \ y = y / x. [hyper(112,a,7,a(flip),b,2778,a)]. given #2618 (H,wt=11): 2843 T(x,y) = y * (x * (y \ 1)). [hyper(30,a,703,a,b,2778,a),flip(a)]. given #2619 (H,wt=11): 2866 T(x,y) = 1 / (x \ K(y,x)). [hyper(178,a,2679,a),flip(a)]. given #2620 (H,wt=11): 2881 x * (K(y,z) * K(z,y)) = x. [para(2878(a,1),65(a,1,2,2))]. given #2621 (H,wt=11): 2889 K(x,x \ (y * x)) = K(x,y). [para(17(a,1),2887(a,1,2))]. given #2622 (H,wt=11): 2890 K(x,y / x) = K(x,x \ y). [para(100(a,1),2887(a,1,2)),flip(a)]. given #2623 (H,wt=11): 2893 K(x / y,y) = K(y \ x,y). [para(100(a,1),2892(a,1,1)),flip(a)]. given #2624 (H,wt=11): 2898 x / (x / y) = (y \ x) \ x. [hyper(570,a,2766,a),flip(a)]. given #2625 (H,wt=11): 2908 1 / T(x \ y,y) = x / y. [hyper(178,a,2768,a(flip))]. given #2626 (H,wt=11): 2909 T(x,y) = ((y / x) / y) \ 1. [para(74(a,1),2768(a,1,1))]. given #2627 (H,wt=11): 2914 x / (x \ 1) = (1 / x) \ x. [hyper(382,a,2772,a),flip(a)]. given #2628 (H,wt=11): 2920 T(x,y) = (1 / y) \ (x / y). [para(7(a,1),2773(a,1,1))]. given #2629 (H,wt=11): 2934 x \ (T(y,x) \ x) = y \ 1. [hyper(2248,a,2789,a)]. given #2630 (H,wt=11): 2935 T(x,y) \ y = y * (x \ 1). [hyper(2247,a,2789,a)]. given #2631 (H,wt=11): 2944 (K(x,y) / x) * y = y / x. [para(2657(a,2),2793(a,1,1))]. given #2632 (H,wt=11): 2945 (K(x,y) / y) * x = x / y. [para(2681(a,2),2793(a,1,1))]. given #2633 (H,wt=11): 2954 (x * y) / (x * x) = x \ y. [hyper(502,a,2840,a),flip(a)]. given #2634 (H,wt=11): 2955 (x * (x * y)) / (x * x) = y. [hyper(256,a,2840,a),flip(a)]. given #2635 (H,wt=11): 2956 x * (y * y) = y * (y * x). [hyper(127,a,2840,a),flip(a)]. given #2636 (H,wt=9): 3017 (x \ 1) \ x = x * x. [hyper(2046,a,2956,a)]. given #2637 (H,wt=11): 2959 x \ (y * (y * x)) = y * y. [para(2840(a,1),66(a,1,2,2))]. given #2638 (H,wt=11): 2996 T(1 / x,y) \ y = y * x. [hyper(114,a,74,a(flip),b,2934,a),flip(a)]. given #2639 (H,wt=11): 2999 T(x,y) \ 1 = y \ (x \ y). [para(2765(a,1),2934(a,1,2,1)),flip(a)]. given #2640 (H,wt=11): 3002 T(x,y) = y / (y * (x \ 1)). [hyper(178,a,2935,a),flip(a)]. given #2641 (H,wt=11): 3006 x * (T(y,x) \ 1) = y \ x. [para(2765(a,1),2935(a,1,1)),flip(a)]. given #2642 (H,wt=11): 3009 x / (y * y) = y \ (y \ x). [hyper(284,a,2954,a)]. given #2643 (H,wt=11): 3010 (x \ y) \ (x * y) = x * x. [hyper(172,a,2954,a)]. given #2644 (H,wt=11): 3019 (x \ (x \ y)) \ y = x * x. [hyper(112,a,68,a(flip),b,2956,a)]. given #2645 (H,wt=11): 3030 T(1 / (x \ y),x) = x / y. [hyper(299,a,2996,a),flip(a)]. given #2646 (H,wt=11): 3031 T(1 / x,y) = y / (y * x). [hyper(178,a,2996,a),flip(a)]. given #2647 (H,wt=11): 3032 T(1 / x,y) * (y * x) = y. [hyper(127,a,2996,a)]. given #2648 (H,wt=11): 3038 T(x,y) = 1 / (y \ (x \ y)). [hyper(178,a,2999,a),flip(a)]. given #2649 (H,wt=11): 3041 T(x / y,x) \ 1 = x \ y. [para(74(a,1),2999(a,2,2))]. given #2650 (H,wt=11): 3063 T(x / y,x) = 1 / (x \ y). [hyper(2782,a,3030,a)]. given #2651 (H,wt=11): 3080 (x * x) \ 1 = x \ (x \ 1). [para(2772(a,1),3041(a,1,1))]. given #2652 (H,wt=12): 2655 T(x,y) \ x != z | K(y,x) = z. [para(2647(a,1),508(a,1))]. given #2653 (H,wt=12): 2677 x / K(y,x) != z | T(x,y) = z. [para(2648(a,2),280(a,1,2))]. given #2654 (H,wt=12): 2678 T(x,y) \ x != z | K(x,y) = z. [para(2648(a,1),508(a,1))]. given #2655 (H,wt=12): 2686 K(x,y) != z | x \ T(x,y) = z. [para(2648(a,2),2577(a,1))]. given #2656 (H,wt=12): 2688 x / T(x,y) != z | K(y,x) = z. [para(2649(a,1),508(a,1))]. given #2657 (H,wt=12): 2690 x * K(y,x) != z | T(x,y) = z. [para(2651(a,2),230(a,1,2))]. given #2658 (H,wt=12): 2691 x \ T(x,y) != z | K(x,y) = z. [para(2651(a,1),508(a,1))]. given #2659 (H,wt=12): 2701 R(T(x,y),K(x,z),u) = T(x,y). [para(2696(a,1),22(a,2,1))]. given #2660 (H,wt=12): 2716 T(x,y) != z | K(y,x) * x = z. [para(2652(a,2),1885(a,1))]. given #2661 (H,wt=12): 2722 T(x,y) * z != x | K(y,x) = z. [para(2654(a,1),38(a,1)),flip(a)]. given #2662 (H,wt=12): 2725 x * T(y,z) != y | K(z,y) = x. [para(2668(a,1),39(a,1)),flip(a)]. given #2663 (H,wt=12): 2726 K(x,y) \ y != z | T(y,x) = z. [para(2668(a,1),287(a,1,2))]. given #2664 (H,wt=12): 2727 K(x,y) != y / z | T(y,x) = z. [para(2670(a,2),40(a,1))]. given #2665 (H,wt=12): 2736 K(x,y) != x \ z | T(x,y) = z. [para(2672(a,2),42(a,1))]. given #2666 (H,wt=12): 2737 x * K(x,y) != z | T(x,y) = z. [para(2672(a,2),230(a,1,2))]. given #2667 (H,wt=12): 2751 T(x,y) != x * z | K(x,y) = z. [para(2674(a,2),38(a,1))]. given #2668 (H,wt=12): 2761 T(x,y) != z | z * K(y,z) = x. [para(2685(a,1),44(a,1)),flip(a)]. given #2669 (H,wt=12): 2783 x * y != z * x | T(y,x) = z. [para(2765(a,1),217(a,1,2))]. given #2670 (H,wt=12): 2784 x * y != z | T(y,x) * x = z. [para(2765(a,1),248(a,1,2))]. given #2671 (H,wt=12): 2785 (x * y) / x != z | T(y,x) = z. [para(2765(a,1),281(a,1,1,2))]. given #2672 (H,wt=12): 2792 L(T(x,y),y,y) = T(x,y \ 1). [para(2765(a,1),2001(a,1,1)),flip(a)]. given #2673 (H,wt=12): 2796 T(x,y) != z | x * K(y,x) = z. [para(2692(a,2),1889(a,1))]. given #2674 (H,wt=12): 2798 K(x,y) * x != z | T(x,y) = z. [para(2730(a,2),227(a,1,1))]. given #2675 (H,wt=12): 2802 T(x,y) != z * x | K(x,y) = z. [para(2741(a,2),39(a,1))]. given #2676 (H,wt=12): 2807 T(x,y) != z / y | y * x = z. [para(2774(a,2),41(a,1))]. given #2677 (H,wt=12): 2808 T(x,y) * y != z | y * x = z. [para(2774(a,2),227(a,1,1))]. given #2678 (H,wt=12): 2811 T(x \ y,x) != z | y / x = z. [para(2774(a,2),284(a,1))]. given #2679 (H,wt=12): 2820 T(K(x,y),y) != z | K(x,y) = z. [para(2774(a,2),1886(a,1))]. given #2680 (H,wt=12): 2830 T(x,y) != z / y | y \ z = x. [para(2775(a,1),44(a,1)),flip(a)]. given #2681 (H,wt=12): 2857 T(x,y) != z | (y * x) / y = z. [para(205(a,1),2810(a,1,1))]. given #2682 (H,wt=12): 2882 1 / K(x,y) != z | K(y,x) = z. [para(2878(a,1),280(a,1,2))]. given #2683 (H,wt=12): 2885 K(x,y) \ 1 != z | K(y,x) = z. [para(2879(a,2),508(a,1))]. given #2684 (H,wt=12): 2915 x * L(y,x,x) = T(y * x,x). [para(2008(a,1),2772(a,1,1)),flip(a)]. given #2685 (H,wt=12): 2918 x \ T(y * x,x) = L(y,x,x). [hyper(112,a,2773,a,b,2000,a)]. given #2686 (H,wt=12): 2925 L(T(x,y \ 1),y,y) = T(x,y). [hyper(2039,a,2777,a)]. given #2687 (H,wt=12): 2933 L(x / y,y,y) = y \ T(x,y). [para(2780(a,1),1996(a,1,1))]. given #2688 (H,wt=12): 2964 x * K(x,y * y) = L(x,y,y). [hyper(58,a,2674,a(flip),b,2952,a)]. given #2689 (H,wt=12): 2966 L(x * y,y,y) = x / (1 / y). [hyper(2033,a,2965,a),flip(a)]. given #2690 (H,wt=12): 2967 L((x \ 1) \ y,x,x) = x * y. [hyper(2014,a,2965,a),flip(a)]. given #2691 (H,wt=12): 2969 x \ L(y,x,x) = (x \ 1) * y. [hyper(114,a,2965,a(flip),b,2013,a),flip(a)]. given #2692 (H,wt=11): 3113 L(x,y \ 1,y) = L(x,y,y). [hyper(522,a,2969,a)]. given #2693 (H,wt=12): 2970 (1 / x) \ L(y,x,x) = x * y. [hyper(114,a,2965,a(flip),b,1998,a),flip(a)]. given #2694 (H,wt=12): 2972 L(x,y,y) * (1 / y) = x / y. [hyper(113,a,2965,a(flip),b,2006,a),flip(a)]. given #2695 (H,wt=12): 2973 L(x,y,y) != z | L(z,y,y) = x. [para(2965(a,1),45(a,1)),flip(a)]. given #2696 (H,wt=12): 3085 K(x,y) * y != z | T(y,x) = z. [para(1884(a,2),2690(a,1))]. given #2697 (H,wt=12): 3089 x / y != z | T(y \ x,y) = z. [para(5(a,1),2785(a,1,1))]. given #2698 (H,wt=12): 3105 (x / y) / (1 / y) = L(x,y,y). [para(7(a,1),2966(a,1,1)),flip(a)]. given #2699 (H,wt=12): 3109 x * ((x \ 1) * y) = L(y,x,x). [para(4(a,1),2967(a,1,1)),flip(a)]. given #2700 (H,wt=12): 3112 L(x * (y \ 1),y,y) = x / y. [hyper(1141,a,2969,a),flip(a)]. given #2701 (H,wt=11): 3132 (1 / x) / x = x \ (x \ 1). [hyper(58,a,1996,a(flip),b,3112,a),flip(a)]. given #2702 (H,wt=12): 3118 (1 / x) * (x * y) = L(y,x,x). [hyper(127,a,2970,a)]. given #2703 (H,wt=12): 3120 L(x,y,y) * y = T(y * x,y). [para(2970(a,1),368(a,1,1)),flip(a)]. given #2704 (H,wt=12): 3129 L(x \ y,x,x) = T(y,x) / x. [hyper(58,a,1153,a(flip),b,3109,a),flip(a)]. given #2705 (H,wt=12): 3136 T(x * y,x) / x = L(y,x,x). [hyper(2287,a,3118,a)]. given #2706 (H,wt=13): 2650 x * T(x \ 1,y) = K(y,x \ 1). [hyper(272,a,2579,a(flip),b,2647,a)]. given #2707 (H,wt=13): 2653 x \ K(y,x \ 1) = T(x \ 1,y). [hyper(112,a,2647,a,b,2579,a(flip))]. given #2708 (H,wt=13): 2661 x * (K(y,x) * z) = T(x,y) * z. [para(2647(a,2),2643(a,1,2,1))]. given #2709 (H,wt=11): 3155 T(x,y) * T(x,y) = x * x. [para(2668(a,1),2661(a,1,2)),flip(a)]. given #2710 (H,wt=13): 2669 K(x \ (y \ x),x) = K(y \ 1,x). [hyper(272,a,2582,a,b,2648,a)]. given #2711 (H,wt=13): 2671 x * T(x \ 1,y) = K(x \ 1,y). [hyper(272,a,2579,a(flip),b,2648,a)]. given #2712 (H,wt=13): 2675 x \ K(x \ 1,y) = T(x \ 1,y). [hyper(112,a,2648,a,b,2579,a(flip))]. given #2713 (H,wt=13): 2687 x * (K(x,y) * z) = T(x,y) * z. [para(2648(a,2),2643(a,1,2,1))]. given #2714 (H,wt=13): 2694 K(x,y) * (y * z) = T(y,x) * z. [para(2651(a,2),2640(a,1,1))]. given #2715 (H,wt=13): 2715 K(x,y \ 1) / y = T(1 / y,x). [hyper(272,a,2373,a(flip),b,2652,a)]. given #2716 (H,wt=13): 2720 L(x,y,x * K(y,x)) = L(x,y,x). [para(2652(a,1),2344(a,1,3))]. given #2717 (H,wt=13): 2742 K(x,y) * (1 / T(x,y)) = 1 / x. [para(2672(a,2),2191(a,1,1))]. given #2718 (H,wt=13): 2744 x \ T(x,x * y) = K(x,y * x). [para(2315(a,1),2672(a,2,2)),flip(a)]. given #2719 (H,wt=11): 3189 K(x,y * x) = K(x,x * y). [hyper(2691,a,2744,a),flip(a)]. given #2720 (H,wt=13): 2747 (x \ y) * K(x,x \ y) = y / x. [para(2672(a,2),2571(a,1,2))]. given #2721 (H,wt=13): 2748 x \ (T(x,y) * z) = K(x,y) * z. [para(2672(a,2),2631(a,2,1))]. given #2722 (H,wt=13): 2749 T(x,y) * (x \ z) = K(x,y) * z. [para(2672(a,2),2633(a,1,1)),flip(a)]. given #2723 (H,wt=13): 2750 K(x,y) * (x * z) = T(x,y) * z. [para(2672(a,2),2640(a,1,1))]. given #2724 (H,wt=13): 2758 T(T(x * K(y,x),z),y) = T(x,z). [para(2685(a,1),18(a,1,1)),flip(a)]. given #2725 (H,wt=13): 2771 x * T(y,x \ 1) = T(x * y,x). [hyper(866,a,2765,a)]. given #2726 (H,wt=13): 2776 T(T(x \ y,z),x) = T(y / x,z). [hyper(35,a,222,a,b,2765,a),flip(a)]. given #2727 (H,wt=13): 2779 x * T(y,x \ 1) = y / (x \ 1). [hyper(113,a,2765,a(flip),b,378,a),flip(a)]. given #2728 (H,wt=13): 2786 T(T(x,y),z) * y = y * T(x,z). [para(2765(a,1),212(a,1,2,1)),flip(a)]. given #2729 (H,wt=13): 2791 (1 / x) \ T(y,x \ 1) = y * x. [para(2765(a,1),1972(a,1,1)),flip(a)]. given #2730 (H,wt=13): 2795 T(1 / T(x,y),y) = y \ (y / x). [para(2765(a,1),2254(a,1,2,2)),flip(a)]. given #2731 (H,wt=13): 2800 (x \ y) \ y = K(x,x \ y) * x. [hyper(570,a,2741,a)]. given #2732 (H,wt=13): 2814 x \ T(x * y,y) = T(y,x * y). [para(2774(a,2),835(a,1,2))]. given #2733 (H,wt=13): 2822 T(T(x,y) \ 1,y) = (y * x) \ y. [para(2774(a,2),2257(a,1,1,1))]. given #2734 (H,wt=13): 2827 K(x,x \ y) * (x \ y) = y / x. [hyper(58,a,2692,a(flip),b,2775,a)]. given #2735 (H,wt=13): 2829 (1 / x) * (x \ y) = (y / x) / x. [hyper(113,a,2775,a(flip),b,365,a(flip)),flip(a)]. given #2736 (H,wt=13): 2835 (x / y) * (y \ 1) = y \ (y \ x). [para(2775(a,1),676(a,1,1))]. given #2737 (H,wt=13): 2836 (x / y) \ (y \ (y \ x)) = y \ 1. [para(2775(a,1),679(a,1,1))]. given #2738 (H,wt=13): 2838 (x / y) \ (y \ x) = K(y,y \ x). [para(2775(a,1),2648(a,2,1)),flip(a)]. given #2739 (H,wt=13): 2847 x * ((1 / x) \ y) = (y * x) * x. [para(368(a,1),2778(a,1,1)),flip(a)]. given #2740 (H,wt=13): 2852 x * ((y / x) \ 1) = (y \ x) * x. [para(2257(a,1),2778(a,1,1)),flip(a)]. given #2741 (H,wt=13): 2864 T(x,L(x,y,z) \ x) != u | x = u. [para(2507(a,1),2810(a,1,1))]. given #2742 (H,wt=13): 2868 x * (y * K(x,y)) = T(x,y) * y. [hyper(114,a,2684,a(flip),b,2307,a)]. given #2743 (H,wt=13): 2873 K(x,y) = (1 / y) * ((x * y) / x). [para(2684(a,2),2073(a,1,2)),flip(a)]. given #2744 (H,wt=13): 2883 (K(x,y) * z) * T(K(y,x),z) = z. [para(2878(a,1),2259(a,1,2,1))]. given #2745 (H,wt=13): 2905 T((x * y) \ x,x) = T(y,x) \ 1. [para(2778(a,1),2767(a,1,1,1))]. given #2746 (H,wt=13): 2907 x \ ((y \ x) * x) = (y / x) \ 1. [hyper(583,a,2768,a)]. given #2747 (H,wt=13): 2924 (1 / x) \ T(y,x) = T(x * y,x). [para(2778(a,1),2773(a,1,1)),flip(a)]. given #2748 (H,wt=13): 2928 x \ (y / (x \ 1)) = T(y,x \ 1). [hyper(112,a,2780,a(flip),b,165,a(flip))]. given #2749 (H,wt=13): 2936 T(x \ y,x \ 1) = x \ T(y,x). [hyper(272,a,383,a,b,2789,a)]. given #2750 (H,wt=13): 2937 x \ T(x * y,x) = T(y,x \ 1). [hyper(272,a,378,a(flip),b,2789,a),flip(a)]. given #2751 (H,wt=13): 2939 x * (x * (y * (x \ 1))) = y * x. [para(2789(a,1),208(a,1,2,2))]. given #2752 (H,wt=11): 3247 ((x * x) * y) / x = y * x. [hyper(1138,a,2939,a)]. given #2753 (H,wt=11): 3249 (x / y) / y = (y * y) \ x. [hyper(483,a,3247,a)]. given #2754 (H,wt=11): 3250 ((x * x) \ y) * x = y / x. [hyper(284,a,3247,a),flip(a)]. given #2755 (H,wt=11): 3251 (x * x) * (y / x) = y * x. [hyper(277,a,3247,a),flip(a)]. given #2756 (H,wt=11): 3252 (x * y) * y = (y * y) * x. [hyper(125,a,3247,a)]. given #2757 (H,wt=11): 3256 ((x * y) * y) / x = y * y. [para(3247(a,1),77(a,1,1,1))]. given #2758 (H,wt=11): 3263 (x * x) \ (y * x) = y / x. [para(6(a,1),3249(a,1,1)),flip(a)]. given #2759 (H,wt=13): 2961 (x * (y * y)) / y = T(y * x,y). [para(2840(a,1),2775(a,1,1)),flip(a)]. given #2760 (H,wt=13): 2985 x * K(y,y \ x) = y * (x / y). [hyper(114,a,2890,a(flip),b,83,a)]. given #2761 (H,wt=13): 2997 x \ ((x \ y) \ x) = (y / x) \ 1. [para(100(a,1),2934(a,1,2,1))]. given #2762 (H,wt=11): 3295 (x \ y) \ x = (y \ x) * x. [hyper(33,a,2907,a,b,2997,a),flip(a)]. given #2763 (H,wt=11): 3296 (x \ y) * ((y \ x) * x) = x. [hyper(127,a,3295,a)]. given #2764 (H,wt=11): 3297 (x \ (x / y)) * (y * x) = x. [hyper(114,a,174,a(flip),b,3295,a)]. given #2765 (H,wt=11): 3299 ((x * y) \ x) * x = y \ x. [para(4(a,1),3295(a,1,1)),flip(a)]. given #2766 (H,wt=11): 3305 x / (y * x) = x \ (x / y). [hyper(122,a,3297,a)]. given #2767 (H,wt=11): 3308 (x \ y) / y = (y * x) \ y. [hyper(122,a,3299,a)]. given #2768 (H,wt=11): 3309 (x * (x / y)) \ x = y / x. [hyper(113,a,74,a(flip),b,3299,a),flip(a)]. given #2769 (H,wt=11): 3322 x / (y / x) = x * (x / y). [hyper(178,a,3309,a)]. given #2770 (H,wt=11): 3323 (x * (x / y)) * (y / x) = x. [hyper(127,a,3309,a)]. given #2771 (H,wt=13): 3000 x \ ((y / x) \ x) = (x \ y) \ 1. [para(2775(a,1),2934(a,1,2,1))]. given #2772 (H,wt=13): 3007 x * ((x \ y) \ 1) = (y / x) \ x. [para(2775(a,1),2935(a,1,1)),flip(a)]. given #2773 (H,wt=13): 3023 (x * (x * y)) / y = T(x * x,y). [hyper(113,a,2956,a(flip),b,2778,a)]. given #2774 (H,wt=13): 3029 ((1 / x) * y) * y = (y * y) / x. [hyper(113,a,2959,a(flip),b,664,a),flip(a)]. given #2775 (H,wt=13): 3033 (1 / x) * (y * x) = T(y,x \ 1). [hyper(114,a,2996,a(flip),b,2246,a(flip))]. given #2776 (H,wt=13): 3034 (x \ 1) * (1 / x) = x \ (x \ 1). [para(946(a,1),2996(a,1,1)),flip(a)]. given #2777 (H,wt=13): 3035 (T(x,y) \ 1) \ x = x * T(x,y). [para(1867(a,1),2996(a,1,1))]. given #2778 (H,wt=13): 3037 T(x,y * x) = T(1 / x,y) \ 1. [hyper(272,a,834,a,b,2999,a)]. given #2779 (H,wt=13): 3048 T(T(x,y) \ 1,y) = (x \ y) / y. [para(2999(a,2),2775(a,1,1))]. given #2780 (H,wt=13): 3069 x * (1 / (x \ y)) = (x / y) * x. [para(3030(a,1),2778(a,1,1)),flip(a)]. given #2781 (H,wt=13): 3077 1 / T(x,y * x) = T(1 / x,y). [para(834(a,2),3038(a,2,2)),flip(a)]. given #2782 (H,wt=13): 3127 T(x * (1 / y),y) = (y \ 1) * x. [hyper(215,a,2006,a,b,3109,a)]. given #2783 (H,wt=13): 3128 T(x,y) = (y \ 1) * (x / (1 / y)). [hyper(215,a,2020,a(flip),b,3109,a)]. given #2784 (H,wt=13): 3139 a(1 / x,x,y) = L(y,x,x) \ y. [para(3118(a,1),201(a,1,1)),flip(a)]. given #2785 (H,wt=13): 3145 (x * x) \ (x * y) = T(y,x) / x. [hyper(58,a,89,a(flip),b,3129,a)]. given #2786 (H,wt=13): 3149 T(1 / x,y) * x = K(y,x \ 1). [hyper(393,a,2650,a)]. given #2787 (H,wt=13): 3153 K(x,y) * (T(y,x) \ z) = y \ z. [hyper(112,a,5,a(flip),b,2661,a),flip(a)]. given #2788 (H,wt=13): 3167 K(x \ 1,y) / x = T(1 / x,y). [hyper(113,a,2671,a(flip),b,389,a)]. given #2789 (H,wt=13): 3174 K(x,y) * (T(x,y) \ z) = x \ z. [hyper(112,a,5,a(flip),b,2687,a),flip(a)]. given #2790 (H,wt=13): 3191 T(x,y) \ (K(x,y) * z) = x \ z. [hyper(112,a,2748,a(flip),b,1001,a(flip))]. given #2791 (H,wt=13): 3195 K(x,y) \ (T(x,y) * z) = x * z. [hyper(802,a,2749,a)]. given #2792 (H,wt=13): 3196 (T(x,y) * z) / (x * z) = K(x,y). [hyper(798,a,2749,a)]. given #2793 (H,wt=13): 3223 T(T(x \ y,y),x) = 1 / (y \ x). [hyper(272,a,3063,a(flip),b,2776,a),flip(a)]. given #2794 (H,wt=13): 3241 T((x * y) \ x,x) = x \ (y \ x). [hyper(272,a,2999,a(flip),b,2905,a),flip(a)]. given #2795 (H,wt=13): 3243 T(x,y) = (1 / y) * (x / (y \ 1)). [hyper(114,a,680,a(flip),b,2924,a),flip(a)]. given #2796 (H,wt=13): 3254 x \ ((x * x) * y) = T(y * x,x). [para(3247(a,1),100(a,1,1)),flip(a)]. given #2797 (H,wt=13): 3261 (1 / x) * (x \ y) = (x * x) \ y. [hyper(58,a,2829,a,b,3249,a)]. given #2798 (H,wt=13): 3278 x \ ((x * y) * y) = T(y * y,x). [hyper(359,a,3252,a,b,xx),flip(a)]. given #2799 (H,wt=13): 3290 x * (x * (y \ 1)) = y \ (x * x). [hyper(112,a,3256,a(flip),b,1133,a),flip(a)]. given #2800 (H,wt=13): 3294 (x * (y * y)) / y = x / (y \ 1). [hyper(272,a,680,a(flip),b,2961,a),flip(a)]. given #2801 (H,wt=13): 3329 (x * x) * (1 / y) = (x * x) / y. [hyper(58,a,3252,a(flip),b,3029,a)]. given #2802 (H,wt=10): 3373 L(x * x,y,y) = x * x. [hyper(30,a,2972,a,b,3329,a)]. given #2803 (H,wt=8): 3377 a(x,x,y * y) = 1. [hyper(48,a,3373,a)]. given #2804 (H,wt=13): 3330 (x * x) \ ((x * x) / y) = 1 / y. [hyper(112,a,3029,a(flip),b,3252,a(flip))]. given #2805 (H,wt=13): 3331 (x * x) / T(y,x) = (x / y) * x. [para(2793(a,1),3029(a,1,1)),flip(a)]. given #2806 (H,wt=13): 3334 T(x,y * x) \ 1 = T(x \ 1,y). [para(3037(a,2),1616(a,1,1))]. given #2807 (H,wt=13): 3335 K(x,y * x) / x = T(1 / x,y). [hyper(58,a,2657,a,b,3077,a)]. given #2808 (H,wt=11): 3390 K(x \ 1,y) = K(x,y * x). [hyper(32,a,3167,a,b,3335,a)]. given #2809 (H,wt=11): 3391 K(x,y \ 1) = K(y,x * y). [hyper(32,a,2715,a,b,3335,a)]. given #2810 (H,wt=10): 3399 L(x,K(y,z \ 1),z) = x. [para(3391(a,2),2663(a,1,2))]. given #2811 (H,wt=11): 3392 K(x \ 1,y) = K(x,x * y). [hyper(272,a,3189,a(flip),b,3390,a),flip(a)]. given #2812 (H,wt=11): 3394 K(x \ 1,y / x) = K(x,y). [para(7(a,1),3390(a,2,2))]. given #2813 (H,wt=10): 3405 L(x,y \ 1,K(y,z)) = x. [para(3394(a,1),2698(a,1,3))]. given #2814 (H,wt=11): 3397 K(x,y \ 1) = K(y,y * x). [hyper(272,a,3189,a(flip),b,3391,a),flip(a)]. given #2815 (H,wt=11): 3404 K(x \ 1,x \ y) = K(x,y). [para(5(a,1),3392(a,2,2))]. given #2816 (H,wt=10): 3410 L(x,y \ z,K(y,z)) = x. [para(3404(a,1),2695(a,1,3))]. given #2817 (H,wt=13): 3336 1 / T(x,x * y) = T(1 / x,y). [para(2315(a,1),3077(a,1,2))]. given #2818 (H,wt=13): 3337 T(1 / x,x \ y) = 1 / T(x,y). [para(2317(a,1),3077(a,1,2)),flip(a)]. given #2819 (H,wt=13): 3339 T((x \ 1) * y,x) = y * (1 / x). [hyper(2782,a,3127,a)]. given #2820 (H,wt=13): 3348 (x \ 1) \ T(y,x) = y / (1 / x). [hyper(112,a,3128,a,b,xx)]. given #2821 (H,wt=13): 3350 T(x,y) / (1 / y) = (y \ 1) \ x. [hyper(112,a,2765,a(flip),b,3128,a(flip)),flip(a)]. given #2822 (H,wt=13): 3352 (x * x) * ((1 / x) * y) = x * y. [hyper(544,a,3145,a)]. given #2823 (H,wt=13): 3353 (x * x) \ (x * y) = (1 / x) * y. [hyper(272,a,369,a(flip),b,3145,a),flip(a)]. given #2824 (H,wt=13): 3355 (x / (x * y)) * y = K(x,y \ 1). [para(3031(a,1),3149(a,1,1))]. given #2825 (H,wt=13): 3357 K(x,y) * (y \ K(y,x)) = y \ 1. [para(2656(a,1),3153(a,1,2))]. given #2826 (H,wt=13): 3359 (x \ y) / (T(x,z) \ y) = K(x,z). [hyper(122,a,3174,a)]. given #2827 (H,wt=13): 3362 T((x / y) \ 1,x) = 1 / (y \ x). [para(2768(a,1),3223(a,1,1))]. given #2828 (H,wt=13): 3366 (x \ 1) * (y * y) = x \ (y * y). [hyper(58,a,2956,a,b,3290,a)]. given #2829 (H,wt=13): 3367 (1 / x) \ (y * y) = y * (y * x). [para(74(a,1),3290(a,1,2,2)),flip(a)]. given #2830 (H,wt=13): 3368 x * (T(y,x) \ x) = y \ (x * x). [para(2935(a,2),3290(a,1,2))]. given #2831 (H,wt=13): 3369 T(x,y) \ (y * y) = y * (x \ y). [para(3006(a,1),3290(a,1,2)),flip(a)]. given #2832 (H,wt=13): 3370 (x / (y \ 1)) * y = x * (y * y). [hyper(125,a,3294,a)]. given #2833 (H,wt=13): 3372 1 / (x \ (y * y)) = (y * y) \ x. [hyper(112,a,72,a(flip),b,3329,a),flip(a)]. given #2834 (H,wt=13): 3375 (x * x) / (y \ 1) = (x * x) * y. [para(72(a,1),3329(a,1,2)),flip(a)]. given #2835 (H,wt=13): 3378 T((x * x) * y,y) = y * (x * x). [hyper(114,a,3373,a(flip),b,2918,a),flip(a)]. given #2836 (H,wt=13): 3379 (1 / x) \ (y * y) = x * (y * y). [hyper(114,a,3373,a(flip),b,1998,a),flip(a)]. given #2837 (H,wt=13): 3380 ((x * x) * y) \ (x * x) = y \ 1. [hyper(112,a,3373,a(flip),b,2005,a)]. given #2838 (H,wt=13): 3381 ((x * x) \ y) \ 1 = y \ (x * x). [hyper(112,a,3373,a(flip),b,2017,a(flip)),flip(a)]. given #2839 (H,wt=13): 3387 T(x \ 1,y / x) = T(x,y) \ 1. [para(7(a,1),3334(a,1,1,2)),flip(a)]. given #2840 (H,wt=13): 3388 T(x,x * y) \ 1 = T(x \ 1,y). [para(2315(a,1),3334(a,1,1))]. given #2841 (H,wt=13): 3389 T(x \ 1,x \ y) = T(x,y) \ 1. [para(2317(a,1),3334(a,1,1)),flip(a)]. given #2842 (H,wt=13): 3393 x * K(x \ 1,y) = T(x,x * y). [hyper(114,a,3390,a,b,2744,a)]. given #2843 (H,wt=13): 3398 x * K(y,x \ 1) = T(x,x * y). [hyper(114,a,3391,a,b,2744,a)]. given #2844 (H,wt=13): 3403 x * K(y,y * x) = T(x,y \ 1). [hyper(114,a,3392,a(flip),b,2651,a(flip))]. given #2845 (H,wt=13): 3422 (x \ 1) / (x \ K(x,y)) = K(y,x). [hyper(122,a,3357,a)]. given #2846 (H,wt=13): 3424 T(1 / (x \ y),y) = (y / x) \ 1. [hyper(2782,a,3362,a)]. given #2847 (H,wt=13): 3426 1 / ((x \ y) \ y) = T(x \ 1,y). [para(72(a,1),3362(a,1,1,1)),flip(a)]. given #2848 (H,wt=12): 3451 T(x \ 1,L(x,y,z)) = 1 / x. [para(2502(a,1),3426(a,1,2)),flip(a)]. given #2849 (H,wt=13): 3427 ((x * x) / y) \ 1 = y / (x * x). [hyper(113,a,74,a(flip),b,3366,a),flip(a)]. given #2850 (H,wt=13): 3429 T((x * x) * y,y) = x * (x * y). [hyper(58,a,2773,a,b,3367,a)]. given #2851 (H,wt=13): 3434 T(x / (y * y),x) = (y * y) \ x. [hyper(58,a,3063,a,b,3372,a)]. given #2852 (H,wt=13): 3439 T((x * y) * y,x) = x * (y * y). [para(3252(a,2),3378(a,1,1))]. given #2853 (H,wt=13): 3442 (x * y) \ (y * y) = (x / y) \ 1. [para(3251(a,1),3380(a,1,1))]. given #2854 (H,wt=13): 3446 ((x / y) \ 1) \ x = x * (y \ x). [para(3424(a,1),2996(a,1,1))]. given #2855 (H,wt=13): 3447 T(x \ 1,y) \ 1 = (x \ y) \ y. [hyper(172,a,3426,a)]. given #2856 (H,wt=13): 3448 1 / T(x,x \ y) = T(x \ 1,y). [hyper(58,a,267,a,b,3426,a)]. given #2857 (H,wt=13): 3449 x \ ((y \ 1) \ x) = (y \ x) \ x. [hyper(31,a,3038,a(flip),b,3426,a)]. given #2858 (H,wt=13): 3450 T(x \ 1,y * x) = 1 / T(x,y). [para(2249(a,2),3426(a,1,2)),flip(a)]. given #2859 (H,wt=13): 3452 T((x \ y) \ 1,y) = 1 / (y / x). [para(2826(a,1),3426(a,1,2)),flip(a)]. given #2860 (H,wt=13): 3455 ((x * x) / y) \ 1 = x \ (x \ y). [hyper(272,a,3009,a(flip),b,3427,a),flip(a)]. given #2861 (H,wt=13): 3457 T(x \ (x \ y),y) = (x * x) \ y. [para(3009(a,1),3434(a,1,1))]. given #2862 (H,wt=13): 3458 ((x * y) * y) * (x \ 1) = y * y. [hyper(29,a,2843,a(flip),b,3439,a(flip))]. given #2863 (H,wt=13): 3462 x * ((y \ x) \ x) = (y \ 1) \ x. [para(72(a,1),3446(a,1,1,1)),flip(a)]. given #2864 (H,wt=13): 3463 ((1 / x) \ y) \ y = T(x,y) \ 1. [para(74(a,1),3447(a,1,1,1)),flip(a)]. given #2865 (H,wt=13): 3464 ((x / y) \ y) \ y = (x \ y) \ 1. [para(2257(a,1),3447(a,1,1)),flip(a)]. given #2866 (H,wt=13): 3465 T(x \ 1,x * y) = 1 / T(x,y). [para(4(a,1),3448(a,1,2,2)),flip(a)]. given #2867 (H,wt=13): 3466 ((x \ y) \ 1) \ y = y * (y / x). [hyper(114,a,2826,a(flip),b,3449,a),flip(a)]. given #2868 (H,wt=13): 3469 T(1 / (x / y),x) = (y \ x) \ 1. [hyper(2782,a,3452,a)]. given #2869 (H,wt=13): 3470 ((x \ y) * y) \ y = 1 / (y / x). [hyper(58,a,2258,a(flip),b,3452,a)]. given #2870 (H,wt=13): 3471 x / (1 / (x / y)) = (y \ x) * x. [para(3452(a,1),2241(a,1,2))]. given #2871 (H,wt=13): 3480 (x * (y / x)) * x = (x \ 1) \ y. [hyper(58,a,2268,a,b,3462,a)]. given #2872 (H,wt=13): 3481 ((x \ 1) \ y) / x = x * (y / x). [hyper(113,a,3462,a(flip),b,2268,a)]. given #2873 (H,wt=13): 3482 x / (T(y,x) \ 1) = (1 / y) \ x. [hyper(178,a,3463,a)]. given #2874 (H,wt=13): 3483 (T(x,y) \ 1) \ y = y / (1 / x). [para(3463(a,1),2826(a,1,1))]. given #2875 (H,wt=13): 3486 x / ((y \ x) \ 1) = (y / x) \ x. [hyper(178,a,3464,a)]. given #2876 (H,wt=13): 3491 x / (x * (x / y)) = (y \ x) \ 1. [hyper(178,a,3466,a)]. given #2877 (H,wt=13): 3492 ((x \ y) \ y) \ 1 = T(1 / x,y). [para(72(a,1),3469(a,1,1,2)),flip(a)]. given #2878 (H,wt=13): 3495 1 / (x / (x * y)) = (y \ x) \ x. [para(3299(a,1),3470(a,1,1)),flip(a)]. given #2879 (H,wt=13): 3496 ((x \ y) \ y) * y = y / (1 / x). [para(72(a,1),3471(a,1,2,2)),flip(a)]. given #2880 (H,wt=13): 3498 (x * x) * (x \ y) = (x \ 1) \ y. [hyper(58,a,1161,a(flip),b,3480,a)]. given #2881 (H,wt=13): 3499 x * ((x \ y) / x) = y * (1 / x). [hyper(30,a,2029,a(flip),b,3480,a),flip(a)]. given #2882 (H,wt=11): 3533 (x \ 1) / x = x \ (1 / x). [hyper(112,a,2,a(flip),b,3499,a),flip(a)]. given #2883 (H,wt=13): 3502 (x \ 1) \ (y * x) = (x * y) * x. [para(6(a,1),3480(a,1,1,2)),flip(a)]. given #2884 (H,wt=13): 3503 (x \ 1) \ (x * y) = (y * x) * x. [para(2806(a,1),3480(a,1,1)),flip(a)]. given #2885 (H,wt=13): 3509 (1 / T(x,y)) \ y = y / (x \ 1). [para(2765(a,1),3482(a,1,2,1)),flip(a)]. given #2886 (H,wt=13): 3510 (1 / (x / y)) \ x = x / (x \ y). [para(3041(a,1),3482(a,1,2)),flip(a)]. given #2887 (H,wt=13): 3511 x / (1 / T(y,x)) = (y \ 1) \ x. [para(2765(a,1),3483(a,1,1,1)),flip(a)]. given #2888 (H,wt=13): 3515 ((x / y) / x) \ x = x / (y \ 1). [para(74(a,1),3486(a,1,2,1)),flip(a)]. given #2889 (H,wt=13): 3517 T(x,x \ y) \ 1 = T(1 / x,y). [hyper(571,a,3492,a)]. given #2890 (H,wt=13): 3518 (x / (1 / y)) / x = (y \ x) \ x. [hyper(34,a,2909,a(flip),b,3492,a)]. given #2891 (H,wt=13): 3520 T(1 / x,y * x) = T(x,y) \ 1. [para(2249(a,2),3492(a,1,1)),flip(a)]. given #2892 (H,wt=13): 3521 ((x \ 1) \ y) \ y = 1 / T(x,y). [para(3002(a,2),3495(a,1,2)),flip(a)]. given #2893 (H,wt=13): 3522 T(x,x \ y) * y = y / (1 / x). [hyper(543,a,3496,a)]. given #2894 (H,wt=13): 3523 (x \ 1) \ (x * y) = (x * x) * y. [hyper(507,a,3498,a),flip(a)]. given #2895 (H,wt=13): 3525 x \ ((x \ 1) * y) = (x * x) \ y. [hyper(112,a,4,a(flip),b,3498,a),flip(a)]. given #2896 (H,wt=13): 3526 (x \ 1) * ((x * x) * y) = x * y. [hyper(799,a,3498,a(flip))]. given #2897 (H,wt=13): 3527 x * ((x * x) \ y) = (x \ 1) * y. [hyper(504,a,3498,a(flip)),flip(a)]. given #2898 (H,wt=13): 3530 x \ (y * (1 / x)) = (x \ y) / x. [hyper(117,a,3499,a)]. given #2899 (H,wt=13): 3534 (x * (1 / y)) / y = y \ (y \ x). [hyper(113,a,3499,a(flip),b,2828,a)]. given #2900 (H,wt=13): 3535 (x * y) * (1 / x) = x * (y / x). [para(4(a,1),3499(a,1,2,1)),flip(a)]. given #2901 (H,wt=13): 3539 T(x,y * (1 / x)) = T(x,x \ y). [para(3499(a,1),2318(a,1,2))]. given #2902 (H,wt=13): 3541 (x \ 1) * (y * x) = x * (y / x). [hyper(537,a,3503,a)]. given #2903 (H,wt=13): 3542 x * ((y / x) / x) = (x \ 1) * y. [hyper(536,a,3503,a),flip(a)]. given #2904 (H,wt=13): 3549 x \ K(x,x \ y) = T(1 / x,y). [hyper(58,a,2656,a(flip),b,3517,a)]. given #2905 (H,wt=13): 3551 x * T(1 / x,y) = K(x,x \ y). [hyper(114,a,3517,a(flip),b,2656,a(flip))]. given #2906 (H,wt=13): 3569 x \ (y / (1 / x)) = x * (y / x). [hyper(114,a,139,a(flip),b,3534,a(flip)),flip(a)]. given #2907 (H,wt=13): 3574 (x * y) / (1 / y) = y * (y * x). [hyper(113,a,2806,a(flip),b,3535,a)]. given #2908 (H,wt=13): 3582 ((x \ 1) * y) / x = x \ (y / x). [hyper(113,a,3542,a(flip),b,2828,a)]. given #2909 (H,wt=13): 3586 x * (x * (y / x)) = y / (1 / x). [hyper(127,a,3569,a)]. given #2910 (H,wt=13): 3589 (x * y) / (1 / x) = x * (y * x). [hyper(114,a,2806,a(flip),b,3569,a),flip(a)]. given #2911 (H,wt=14): 2728 K(x,y) = T(y,y * x) \ L(y,x,y). [hyper(272,a,2589,a,b,2672,a),flip(a)]. given #2912 (H,wt=14): 2732 T(x,x * y) * K(y,x) = L(x,y,x). [hyper(114,a,2672,a,b,2589,a)]. given #2913 (H,wt=14): 2781 T(T(x \ y,z),z) != u \ y | x = u. [para(2765(a,2),43(a,1))]. given #2914 (H,wt=14): 2809 x * ((x * y) / x) != z | y * x = z. [para(2774(a,1),248(a,1,2))]. given #2915 (H,wt=14): 2832 x * (y / x) != z * x | x \ y = z. [para(2775(a,1),217(a,1,2))]. given #2916 (H,wt=14): 2833 x * (y / x) != z | (x \ y) * x = z. [para(2775(a,1),248(a,1,2))]. given #2917 (H,wt=14): 2856 T(T(T(x,y),z),y) != u | T(x,z) = u. [para(18(a,1),2810(a,1,1))]. given #2918 (H,wt=14): 2858 T(L(x,y,z),x) != u | L(x,y,z) = u. [para(159(a,1),2810(a,1,1))]. given #2919 (H,wt=14): 2859 T(x / y,y \ x) != z | x / y = z. [para(226(a,1),2810(a,1,1))]. given #2920 (H,wt=14): 2863 T(x \ y,y) != z | (x / y) \ 1 = z. [para(2257(a,1),2810(a,1,1))]. given #2921 (H,wt=14): 2867 1 / (x \ K(y,x)) != z | T(x,y) = z. [para(2679(a,1),280(a,1,2))]. given #2922 (H,wt=14): 2901 x / (x / y) != z | (y \ x) \ x = z. [para(2766(a,1),570(a,1))]. given #2923 (H,wt=14): 2904 T(x,y) != z \ 1 | (z * y) \ y = x. [para(2767(a,1),44(a,1)),flip(a)]. given #2924 (H,wt=14): 2906 T(x \ 1,y) != z | (x * y) \ y = z. [para(2767(a,1),2810(a,1,1))]. given #2925 (H,wt=14): 2913 T((x / y) \ 1,y) != z | x \ y = z. [para(2768(a,1),2810(a,1,1))]. given #2926 (H,wt=14): 2916 T(x * y,x) != z | y / (x \ 1) = z. [para(2772(a,1),2810(a,1,1))]. given #2927 (H,wt=14): 2921 T(x,y) != (1 / y) \ z | z * y = x. [para(2773(a,1),44(a,1)),flip(a)]. given #2928 (H,wt=14): 2938 x * (y * (x \ 1)) != z | T(y,x) = z. [para(2789(a,1),230(a,1,2))]. given #2929 (H,wt=14): 2946 x \ y != z / x | x * (y / x) = z. [para(2805(a,1),41(a,1))]. given #2930 (H,wt=14): 2947 (x \ y) * x != z | x * (y / x) = z. [para(2805(a,1),227(a,1,1))]. given #2931 (H,wt=14): 2958 x * (x * y) != z | y * (x * x) = z. [para(2840(a,1),230(a,1,2))]. given #2932 (H,wt=14): 2963 L((x * x) \ y,x,x) = y / (x * x). [hyper(58,a,2775,a(flip),b,2952,a),flip(a)]. given #2933 (H,wt=14): 2971 x * (x * L(y,x,x)) = (x * x) * y. [hyper(114,a,2965,a(flip),b,13,a(flip)),flip(a)]. given #2934 (H,wt=14): 2978 T(x,y) != y * z | x * (y \ 1) = z. [para(2843(a,2),38(a,1))]. given #2935 (H,wt=14): 2979 x \ T(y,x) != z | y * (x \ 1) = z. [para(2843(a,2),287(a,1,2))]. given #2936 (H,wt=14): 2988 ((x \ y) \ y) \ y != z | y / x = z. [para(2898(a,1),290(a,1,1))]. given #2937 (H,wt=14): 2991 (x / y) \ 1 != z | T(x \ y,y) = z. [para(2908(a,1),290(a,1,1))]. given #2938 (H,wt=14): 2992 T(x,y) != z \ 1 | (y / x) / y = z. [para(2909(a,2),43(a,1))]. given #2939 (H,wt=14): 3011 (x \ y) \ (x * y) != z | x * x = z. [para(2954(a,1),290(a,1,1))]. given #2940 (H,wt=14): 3012 x / (y * y) != z | y * (y * z) = x. [para(2955(a,1),41(a,1)),flip(a)]. given #2941 (H,wt=14): 3013 x * (y * y) != z | y * (y * x) = z. [para(2955(a,1),227(a,1,1))]. given #2942 (H,wt=14): 3025 x * (y * y) != y * (y * z) | z = x. [para(2956(a,1),39(a,1)),flip(a)]. given #2943 (H,wt=14): 3049 T(x,y) \ y != z | y * (x \ 1) = z. [para(3002(a,2),290(a,1,1))]. given #2944 (H,wt=14): 3051 x \ y != y * z | T(x,y) \ 1 = z. [para(3006(a,1),38(a,1))]. given #2945 (H,wt=14): 3062 x / (y * y) != z | y \ (y \ x) = z. [para(3019(a,1),280(a,1,2))]. given #2946 (H,wt=14): 3070 T(x / y,x) != z | 1 / (x \ y) = z. [para(3030(a,1),2810(a,1,1))]. given #2947 (H,wt=14): 3072 T(1 / x,y) \ y != z | y * x = z. [para(3031(a,2),290(a,1,1))]. given #2948 (H,wt=14): 3075 T(x,y) != 1 / z | y \ (x \ y) = z. [para(3038(a,2),40(a,1))]. given #2949 (H,wt=14): 3076 T(x,y) \ 1 != z | y \ (x \ y) = z. [para(3038(a,2),290(a,1,1))]. given #2950 (H,wt=14): 3078 x \ 1 != y \ z | T(y / z,y) = x. [para(3041(a,1),43(a,1)),flip(a)]. given #2951 (H,wt=14): 3079 1 / (x \ y) != z | T(x / y,x) = z. [para(3041(a,1),280(a,1,2))]. given #2952 (H,wt=14): 3083 T(1 / (x \ y),x) != z | x / y = z. [para(3063(a,1),2810(a,1,1))]. given #2953 (H,wt=14): 3090 (1 / x) \ y != z | T(y * x,x) = z. [para(380(a,1),2785(a,1))]. given #2954 (H,wt=14): 3117 L(T(x,y),y \ 1,y) = T(x,y \ 1). [hyper(272,a,2792,a(flip),b,3113,a),flip(a)]. given #2955 (H,wt=14): 3177 K(x * y,x) * T(x,y) = R(x,y,x). [hyper(29,a,2337,a(flip),b,2687,a),flip(a)]. given #2956 (H,wt=14): 3190 K(x,y * x) != z | K(x,x * y) = z. [para(2744(a,1),2691(a,1))]. given #2957 (H,wt=14): 3220 K(x,y) * (x * y) != z | y * x = z. [para(2750(a,2),2808(a,1))]. given #2958 (H,wt=14): 3248 x * y != z | ((y * y) * x) / y = z. [para(2939(a,1),1138(a,1))]. given #2959 (H,wt=14): 3255 (x * y) * y != z | (y * y) * x = z. [para(3247(a,1),227(a,1,1))]. given #2960 (H,wt=14): 3258 (x * y) * y != (y * y) * z | x = z. [para(3247(a,1),118(a,1,1))]. given #2961 (H,wt=14): 3269 (x / y) / y != z | (y * y) \ x = z. [para(3250(a,1),279(a,1,1))]. given #2962 (H,wt=14): 3273 (x * x) \ (y * x) != z | y / x = z. [para(3251(a,1),287(a,1,2))]. given #2963 (H,wt=14): 3291 (x * x) * y != z | (y * x) * x = z. [para(3256(a,1),227(a,1,1))]. given #2964 (H,wt=14): 3300 (x \ y) \ x != z * x | y \ x = z. [para(3295(a,2),39(a,1))]. given #2965 (H,wt=14): 3303 (x \ y) \ x != z | (y \ x) * x = z. [para(3296(a,1),287(a,1,2))]. given #2966 (H,wt=14): 3307 x / (y * x) != z | x \ (x / y) = z. [para(3297(a,1),279(a,1,1))]. given #2967 (H,wt=14): 3311 x \ y != z * y | (y * x) \ y = z. [para(3299(a,1),39(a,1))]. given #2968 (H,wt=14): 3312 (x \ y) / y != z | (y * x) \ y = z. [para(3299(a,1),279(a,1,1))]. given #2969 (H,wt=14): 3319 ((x * y) \ x) * x != z | y \ x = z. [para(3308(a,1),227(a,1,1))]. given #2970 (H,wt=14): 3325 x / (y / x) != x * z | x / y = z. [para(3322(a,2),38(a,1))]. given #2971 (H,wt=14): 3326 (x * (x / y)) \ x != z | y / x = z. [para(3322(a,1),290(a,1,1))]. given #2972 (H,wt=14): 3524 (x * x) \ L(y,x,x) = x \ (x \ y). [hyper(112,a,2013,a(flip),b,3498,a)]. given #2973 (H,wt=14): 3559 L((x * x) * y,x,x) = x * (x * y). [para(3523(a,1),2967(a,1,1))]. given #2974 (H,wt=14): 3595 K(x,y) * T(y,y * x) = L(y,x,y). [hyper(1911,a,2728,a)]. given #2975 (H,wt=14): 3607 x \ y != z | T(y,x) * (x \ 1) = z. [para(2765(a,1),2979(a,1,2))]. given #2976 (H,wt=14): 3611 T(x,y) \ x != z | x / T(x,y) = z. [para(1872(a,1),2988(a,1,1))]. given #2977 (H,wt=12): 3637 K(x,y) != z | y / T(y,x) = z. [para(2648(a,2),3611(a,1))]. given #2978 (H,wt=14): 3618 T(1 / x,y) != z | y / (y * x) = z. [para(4(a,1),3083(a,1,1,2))]. given #2979 (H,wt=14): 3619 L(T(x,y),y \ 1,y) = T(x,1 / y). [hyper(272,a,1967,a,b,3117,a),flip(a)]. given #2980 (H,wt=14): 3620 T(x,y) * K(x * y,x) = R(x,y,x). [hyper(1890,a,3177,a)]. given #2981 (H,wt=14): 3621 K(x \ 1,y) != z | K(x,x * y) = z. [para(3390(a,2),3190(a,1))]. given #2982 (H,wt=14): 3622 K(x,y \ 1) != z | K(y,y * x) = z. [para(3391(a,2),3190(a,1))]. given #2983 (H,wt=14): 3625 x \ (x \ 1) != y | (x * x) \ 1 = y. [para(3132(a,1),3269(a,1))]. given #2984 (H,wt=14): 3627 (x * x) \ y != z | (y / x) / x = z. [para(7(a,1),3273(a,1,2))]. given #2985 (H,wt=14): 3632 (x * y) \ x != z | (y \ x) / x = z. [para(72(a,1),3326(a,1,1,2))]. given #2986 (H,wt=14): 3635 L((x * x) * y,x,x) = y * (x * x). [hyper(272,a,2956,a,b,3559,a),flip(a)]. given #2987 (H,wt=14): 3639 T(x,y) * K(x,x * y) = R(x,y,x). [para(28(a,1),3620(a,1,2))]. given #2988 (H,wt=14): 3640 T(x,y) * K(x,y * x) = R(x,y,x). [para(3189(a,2),3639(a,1,2))]. given #2989 (H,wt=15): 2680 K((1 / x) \ y,y) = T(y,y * x) \ y. [para(1374(a,1),2648(a,2,1))]. given #2990 (H,wt=13): 3641 K((1 / x) \ y,y) = K(y * x,y). [hyper(272,a,2648,a,b,2680,a),flip(a)]. given #2991 (H,wt=13): 3642 K(x * (y \ 1),x) = K(y \ x,x). [para(72(a,1),3641(a,1,1,1)),flip(a)]. given #2992 (H,wt=15): 2689 (1 / x) * K(y,x \ 1) = T(1 / x,y). [hyper(114,a,2369,a(flip),b,2651,a(flip))]. given #2993 (H,wt=15): 2700 (x * K(y,x)) * z = K(y,x) * (x * z). [para(2695(a,1),1904(a,1,2))]. given #2994 (H,wt=15): 2733 K(x,y * K(z,z \ 1)) = x \ T(x,y). [hyper(58,a,2425,a,b,2672,a)]. given #2995 (H,wt=13): 3644 T(x,y * K(z,z \ 1)) = T(x,y). [hyper(2736,a,2733,a)]. given #2996 (H,wt=13): 3645 T(x,K(y \ 1,y) * z) = T(x,z). [para(1811(a,1),3644(a,1,2)),flip(a)]. given #2997 (H,wt=15): 2734 T(x,y) \ T(T(x,z),y) = K(T(x,y),z). [para(18(a,1),2672(a,2,2)),flip(a)]. given #2998 (H,wt=15): 2759 T(L(x * K(y,x),z,u),y) = L(x,z,u). [para(2685(a,1),20(a,1,1)),flip(a)]. given #2999 (H,wt=15): 2760 T(R(x * K(y,x),z,u),y) = R(x,z,u). [para(2685(a,1),22(a,1,1)),flip(a)]. given #3000 (H,wt=15): 2769 T(x * T(y,y \ 1),y) = (y \ 1) \ x. [hyper(1993,a,2765,a),flip(a)]. given #3001 (H,wt=15): 2770 T((1 / x) \ y,x \ 1) = y / (1 / x). [hyper(1971,a,2765,a),flip(a)]. given #3002 (H,wt=15): 2787 L(T(x,y),z,u) * y = y * L(x,z,u). [para(2765(a,1),213(a,1,2,1)),flip(a)]. given #3003 (H,wt=15): 2788 R(T(x,y),z,u) * y = y * R(x,z,u). [para(2765(a,1),214(a,1,2,1)),flip(a)]. given #3004 (H,wt=15): 2801 K(T(x,y),z) * T(x,y) = T(T(x,z),y). [hyper(354,a,2741,a),flip(a)]. given #3005 (H,wt=15): 2837 (x \ y) \ T(x,x \ y) = (y / x) \ x. [para(2775(a,1),2245(a,1,1)),flip(a)]. given #3006 (H,wt=15): 2841 x \ T(y,x \ 1) = (x \ 1) * T(y,x). [hyper(707,a,2778,a)]. given #3007 (H,wt=15): 2844 T(x * ((1 / x) * y),x) = x * (y / x). [hyper(30,a,1987,a(flip),b,2778,a),flip(a)]. given #3008 (H,wt=15): 2855 (x * y) * K(z,y) = x * (y * K(z,y)). [hyper(114,a,2664,a(flip),b,13,a(flip))]. given #3009 (H,wt=8): 3658 R(x,y,K(z,y)) = x. [hyper(453,a,2855,a)]. given #3010 (H,wt=13): 3659 (x * y) * K(z,y) = x * T(y,z). [para(2652(a,2),2855(a,2,2))]. given #3011 (H,wt=13): 3663 (x / y) * T(y,z) = x * K(z,y). [hyper(278,a,3659,a),flip(a)]. given #3012 (H,wt=13): 3664 (x * y) * K(y,z) = x * T(y,z). [para(28(a,1),3659(a,1,2))]. given #3013 (H,wt=13): 3668 (x / y) * T(y,z) = x * K(y,z). [para(28(a,1),3663(a,2,2))]. given #3014 (H,wt=13): 3674 (x * y) \ (x * T(y,z)) = K(y,z). [hyper(117,a,3664,a)]. given #3015 (H,wt=13): 3688 (x * T(y,z)) / y = x * K(y,z). [hyper(58,a,1239,a,b,3668,a)]. given #3016 (H,wt=13): 3690 (x * K(y,z)) \ (x * T(y,z)) = y. [para(3668(a,1),1240(a,1,1))]. given #3017 (H,wt=13): 3697 (x / T(y,z)) * K(y,z) = x / y. [hyper(501,a,3688,a),flip(a)]. given #3018 (H,wt=13): 3698 (x / K(y,z)) * T(y,z) = x * y. [hyper(277,a,3688,a),flip(a)]. given #3019 (H,wt=13): 3699 (x * K(y,z)) * y = x * T(y,z). [hyper(125,a,3688,a)]. given #3020 (H,wt=13): 3711 (x * K(y,z)) * z = x * T(z,y). [para(28(a,1),3699(a,1,1,2))]. given #3021 (H,wt=15): 2862 T(K(x,y),R(x,z,u)) != w | K(x,y) = w. [para(1912(a,1),2810(a,1,1))]. given #3022 (H,wt=15): 2874 K(x,x \ y) / (y / x) = 1 / (x \ y). [para(2775(a,1),2717(a,1,2))]. given #3023 (H,wt=15): 2876 T(T(x,x \ 1),y) = (x \ 1) \ K(x,y). [hyper(112,a,2731,a,b,212,a),flip(a)]. given #3024 (H,wt=15): 2886 (K(x,y) * z) * K(y,x) = T(z,K(y,x)). [para(2880(a,1),365(a,2,1,1)),flip(a)]. given #3025 (H,wt=15): 2894 K((x \ y) \ y,x \ y) = K(x,x \ y). [para(99(a,1),2892(a,1,1))]. given #3026 (H,wt=15): 2895 (T(x,y) * y) / T(x,y) = y * K(x,y). [para(2892(a,1),2684(a,2,2))]. given #3027 (H,wt=15): 2902 T(1 / (1 / x),y) = (T(x,y) \ 1) \ 1. [para(2766(a,1),1611(a,1,1))]. given #3028 (H,wt=15): 2917 x * T(y * z,z) = x * ((1 / z) \ y). [hyper(114,a,2773,a,b,4,a)]. given #3029 (H,wt=15): 2919 T(x * y,y) * z = ((1 / y) \ x) * z. [hyper(52,a,2773,a)]. given #3030 (H,wt=15): 2923 x \ T(y * x,x) != z | L(y,x,x) = z. [para(2773(a,2),2003(a,1,2))]. given #3031 (H,wt=15): 2926 T(x,y \ 1) / y = T(x,y) * (1 / y). [hyper(113,a,2777,a(flip),b,1985,a(flip))]. given #3032 (H,wt=15): 2932 (x \ 1) * (x \ T(y,x)) = x \ (y / x). [para(2780(a,1),1155(a,1,2)),flip(a)]. given #3033 (H,wt=15): 2943 x / ((y \ 1) \ 1) = (T(y,x) \ 1) * x. [para(1612(a,1),2793(a,1,1)),flip(a)]. given #3034 (H,wt=15): 2951 (x * (y / x)) * (y / x) = y * (x \ y). [para(2828(a,1),2299(a,1,1))]. given #3035 (H,wt=15): 2953 x * ((y / x) * (y / x)) = (y / x) * y. [hyper(505,a,2840,a),flip(a)]. given #3036 (H,wt=15): 2968 L(L(L(x,y,y),z,u),y,y) = L(x,z,u). [hyper(36,a,25,a,b,2965,a),flip(a)]. given #3037 (H,wt=15): 2975 (x \ y) * ((x \ 1) \ 1) = T(y,x \ 1). [hyper(416,a,2843,a),flip(a)]. given #3038 (H,wt=15): 2976 x * ((y \ 1) * (x \ 1)) = (y * x) \ x. [hyper(58,a,2258,a(flip),b,2843,a),flip(a)]. given #3039 (H,wt=15): 2981 K(x,y) * (z * K(y,x)) = T(z,K(x,y)). [para(2878(a,1),2843(a,2,2,2)),flip(a)]. given #3040 (H,wt=15): 2982 K(x,y) * (z * K(x,y)) = T(z,K(x,y)). [para(2879(a,1),2843(a,2,2,2)),flip(a)]. given #3041 (H,wt=15): 2995 T((x \ 1) \ 1,y) \ y = y * (1 / x). [hyper(114,a,2826,a(flip),b,2934,a),flip(a)]. given #3042 (H,wt=15): 2998 x * (T(y,z) \ z) = x * (z * (y \ 1)). [para(2934(a,1),137(a,1,2,2)),flip(a)]. given #3043 (H,wt=15): 3004 x * (((1 / x) \ y) \ 1) = (y * x) \ x. [para(368(a,1),2935(a,1,1)),flip(a)]. given #3044 (H,wt=15): 3008 ((1 / x) \ y) \ x = x * ((y * x) \ 1). [para(2773(a,1),2935(a,1,1))]. given #3045 (H,wt=15): 3020 x * (x * K(y,x * x)) = T(x * x,y). [hyper(58,a,2692,a,b,2956,a),flip(a)]. given #3046 (H,wt=15): 3036 T(1 / x,y) / y = 1 / T(y * x,y). [para(2996(a,1),2908(a,1,2,1)),flip(a)]. given #3047 (H,wt=15): 3039 (T(x,y) \ 1) \ z = (y \ (x \ y)) \ z. [hyper(56,a,2999,a)]. given #3048 (H,wt=15): 3060 ((x \ (x \ 1)) * y) \ y = T(x * x,y). [para(3009(a,1),2261(a,2,1,1)),flip(a)]. given #3049 (H,wt=15): 3061 x / (y \ (y \ x)) = ((y * y) \ x) \ x. [para(3009(a,1),2898(a,1,2))]. given #3050 (H,wt=15): 3065 (1 / (x \ y)) / x = (1 / x) * (x / y). [hyper(114,a,3030,a(flip),b,2920,a(flip)),flip(a)]. given #3051 (H,wt=15): 3068 (x / (x / y)) / x = 1 / (1 / (x \ y)). [para(3030(a,1),2256(a,1,1,2))]. given #3052 (H,wt=15): 3084 T(x * x,y) \ y = y * (x \ (x \ 1)). [hyper(114,a,3080,a(flip),b,2934,a),flip(a)]. given #3053 (H,wt=15): 3092 (x * x) * T(y,x \ 1) = x * (y * x). [hyper(114,a,2792,a(flip),b,211,a)]. given #3054 (H,wt=15): 3102 T((x * y) * y,y) = y * (x / (1 / y)). [hyper(114,a,2966,a(flip),b,2918,a),flip(a)]. given #3055 (H,wt=15): 3103 (1 / x) \ (y * x) = x * (y / (1 / x)). [hyper(114,a,2966,a(flip),b,1998,a),flip(a)]. given #3056 (H,wt=15): 3107 (1 / x) \ ((x \ 1) \ y) = x * (x * y). [hyper(114,a,2967,a(flip),b,1998,a),flip(a)]. given #3057 (H,wt=15): 3110 L(x,y,y) != y * z | (y \ 1) \ z = x. [para(2967(a,1),45(a,1)),flip(a)]. given #3058 (H,wt=15): 3114 x * ((x \ 1) * y) != z | L(y,x,x) = z. [para(2969(a,1),230(a,1,2))]. given #3059 (H,wt=15): 3116 (x \ 1) * ((1 / x) * y) = x \ (x \ y). [para(1996(a,1),2969(a,1,2)),flip(a)]. given #3060 (H,wt=15): 3119 (1 / x) * (x * y) != z | L(y,x,x) = z. [para(2970(a,1),230(a,1,2))]. given #3061 (H,wt=15): 3122 (1 / x) \ (x \ y) = x * ((1 / x) * y). [para(1996(a,1),2970(a,1,2))]. given #3062 (H,wt=15): 3124 x / y != z * (1 / y) | L(x,y,y) = z. [para(2972(a,1),39(a,1))]. given #3063 (H,wt=15): 3125 ((1 / x) * y) / x = (x \ y) * (1 / x). [para(1996(a,1),2972(a,1,1)),flip(a)]. given #3064 (H,wt=15): 3126 x * ((x \ 1) * (y / x)) = x \ T(y,x). [hyper(272,a,2933,a(flip),b,3109,a),flip(a)]. given #3065 (H,wt=15): 3130 x \ L(y,x,x) != z | (x \ 1) * y = z. [para(3109(a,1),287(a,1,2))]. given #3066 (H,wt=15): 3133 (x * (y \ 1)) * (1 / y) = (x / y) / y. [hyper(113,a,3112,a(flip),b,2006,a),flip(a)]. given #3067 (H,wt=15): 3138 (1 / x) * (x * (y * x)) = y / (1 / x). [hyper(272,a,2966,a(flip),b,3118,a),flip(a)]. given #3068 (H,wt=15): 3143 T(x * y,x) / x != z | L(y,x,x) = z. [para(3120(a,1),279(a,1,1))]. given #3069 (H,wt=15): 3144 T(x * (x * y),x) = ((x \ 1) \ y) * x. [para(2002(a,1),3120(a,1,1)),flip(a)]. given #3070 (H,wt=15): 3146 (x \ 1) * (T(y,x) / x) = x \ (x \ y). [hyper(114,a,3129,a(flip),b,2013,a)]. given #3071 (H,wt=15): 3147 L(x,y,y) != z | (1 / y) * (y * x) = z. [para(3136(a,1),379(a,1))]. given #3072 (H,wt=15): 3156 ((x * y) / x) * z = y * (K(x,y) * z). [para(2774(a,1),2661(a,2,1)),flip(a)]. given #3073 (H,wt=15): 3159 T(x,y) * (T(x,y) * z) = z * (x * x). [hyper(114,a,3155,a(flip),b,2959,a),flip(a)]. given #3074 (H,wt=15): 3175 K(x / y,z) * x = y * T(y \ x,z). [hyper(29,a,1024,a,b,2687,a),flip(a)]. given #3075 (H,wt=15): 3176 K(x,y) * (z * x) = T(x,y) * T(z,x). [hyper(29,a,1009,a,b,2687,a),flip(a)]. given #3076 (H,wt=15): 3182 K(x,y) * (y * z) = y * (K(x,y) * z). [hyper(272,a,2661,a,b,2694,a),flip(a)]. given #3077 (H,wt=15): 3185 K(x,y) * (y * z) = ((x * y) / x) * z. [para(2774(a,1),2694(a,2,1))]. given #3078 (H,wt=15): 3187 T(x,y) * (y * z) = x * (T(y,x) * z). [para(2694(a,1),2687(a,1,2)),flip(a)]. given #3079 (H,wt=15): 3197 x * (K(x,y) * (x \ z)) = K(x,y) * z. [hyper(58,a,2687,a,b,2749,a)]. given #3080 (H,wt=13): 3762 K(x,x \ y) * y = x * (y / x). [para(2827(a,1),3197(a,1,2)),flip(a)]. given #3081 (H,wt=15): 3199 x \ (K(x,y) * z) = K(x,y) * (x \ z). [hyper(112,a,2749,a(flip),b,2687,a)]. given #3082 (H,wt=15): 3204 K(x,y) * T(x,z) = T(x,y) * K(x,z). [para(2672(a,2),2749(a,1,2)),flip(a)]. given #3083 (H,wt=15): 3225 T(x / (1 / y),y) = T(x * y,y \ 1). [hyper(215,a,2032,a(flip),b,2779,a)]. given #3084 (H,wt=15): 3227 x / ((y \ 1) \ 1) = (y \ 1) * T(x,y). [para(1970(a,1),2779(a,1,2)),flip(a)]. given #3085 (H,wt=15): 3234 T(x * y,y) / x = T(T(y,x * y),x). [para(2814(a,1),2775(a,1,1)),flip(a)]. given #3086 (H,wt=15): 3240 (K(x,y) * K(y,z)) * K(y,x) = K(y,z). [para(1494(a,1),2883(a,1,2))]. given #3087 (H,wt=15): 3257 ((x * y) * y) * z = ((y * y) * x) * z. [para(3247(a,1),135(a,1,1,1))]. given #3088 (H,wt=15): 3260 T((x * y) \ 1,y) = ((y * y) * x) \ y. [para(3247(a,1),2257(a,1,1,1))]. given #3089 (H,wt=15): 3264 ((x \ y) * (x \ y)) \ y = x / (x \ y). [para(72(a,1),3249(a,1,1)),flip(a)]. given #3090 (H,wt=15): 3266 T(((x * x) \ y) \ 1,x) = (y / x) \ x. [para(3249(a,1),2257(a,1,1,1))]. given #3091 (H,wt=13): 3769 T(x \ (y * y),y) = (x / y) \ y. [para(3381(a,1),3266(a,1,1))]. given #3092 (H,wt=13): 3770 T((x / y) \ y,y) = x \ (y * y). [hyper(2782,a,3769,a)]. given #3093 (H,wt=15): 3267 ((x * x) \ y) / x = (x * x) \ (y / x). [para(3249(a,1),3249(a,1,1))]. given #3094 (H,wt=15): 3272 x / (y / (y \ x)) = (y \ x) * (y \ x). [hyper(113,a,5,a(flip),b,3251,a)]. given #3095 (H,wt=15): 3275 ((x * x) * y) * x = (x * x) * (y * x). [para(3247(a,1),3251(a,1,2)),flip(a)]. given #3096 (H,wt=15): 3277 (x * (y \ x)) / y = (y \ x) * (y \ x). [hyper(806,a,3252,a)]. given #3097 (H,wt=15): 3279 ((x * x) * y) * y = x * (x * (y * y)). [hyper(272,a,2956,a(flip),b,3252,a),flip(a)]. given #3098 (H,wt=15): 3280 x * ((y * z) * z) = x * ((z * z) * y). [hyper(114,a,3252,a,b,4,a)]. given #3099 (H,wt=15): 3281 ((x * y) * y) \ z = ((y * y) * x) \ z. [hyper(56,a,3252,a)]. given #3100 (H,wt=15): 3288 (x * T(y,z)) * T(y,z) = (y * y) * x. [para(3155(a,1),3252(a,2,1))]. given #3101 (H,wt=13): 3777 (x * y) * T(x,y) = (x * x) * y. [hyper(486,a,3288,a)]. given #3102 (H,wt=15): 3293 (x * x) \ (y * T(x,z)) = y / T(x,z). [para(3155(a,1),3263(a,1,1))]. given #3103 (H,wt=15): 3298 ((x \ y) \ x) \ z = ((y \ x) * x) \ z. [hyper(56,a,3295,a)]. given #3104 (H,wt=15): 3302 (x \ y) \ (z / (x \ z)) = (y \ x) * x. [hyper(807,a,3296,a)]. given #3105 (H,wt=15): 3304 T(x \ (x / y),y * x) = (y * x) \ x. [hyper(359,a,xx,b,3297,a)]. given #3106 (H,wt=15): 3306 (x \ y) \ ((x \ y) / x) = (x \ y) / y. [hyper(113,a,3297,a(flip),b,137,a(flip)),flip(a)]. given #3107 (H,wt=15): 3310 ((x * y) \ x) / x = (x * x) \ (y \ x). [hyper(112,a,3299,a(flip),b,3251,a),flip(a)]. given #3108 (H,wt=15): 3314 T(((x * y) \ x) \ 1,x) = (y \ x) \ x. [para(3299(a,1),2258(a,2,1))]. given #3109 (H,wt=15): 3317 x / (x \ (x / y)) = ((y * x) \ x) \ x. [para(3305(a,1),2898(a,1,2))]. given #3110 (H,wt=15): 3318 x / ((x * x) * y) = x \ (x / (y * x)). [para(3252(a,1),3305(a,1,2))]. given #3111 (H,wt=15): 3338 (x * (y * (1 / x))) / x = (x \ 1) * y. [hyper(2857,a,3127,a)]. given #3112 (H,wt=15): 3342 ((x \ 1) * y) * x = x * (y * (1 / x)). [para(3127(a,1),2778(a,1,1))]. given #3113 (H,wt=15): 3351 ((x \ 1) \ 1) * (y / x) = T(y,x \ 1). [para(72(a,1),3128(a,2,2,2)),flip(a)]. given #3114 (H,wt=15): 3364 x * ((x \ (1 / x)) * y) = T(y,x) / x. [para(3243(a,2),1164(a,1,1)),flip(a)]. given #3115 (H,wt=15): 3371 1 / T(x,y * y) = T(1 / x,y * y). [hyper(215,a,2242,a(flip),b,3329,a),flip(a)]. given #3116 (H,wt=14): 3788 1 / T(x,y * y) = L(1 / x,y,y). [hyper(272,a,2952,a(flip),b,3371,a),flip(a)]. given #3117 (H,wt=13): 3790 L(1 / x,y,y) = 1 / L(x,y,y). [para(2952(a,1),3788(a,1,2)),flip(a)]. given #3118 (H,wt=14): 3789 T(1 / x,y * y) = 1 / L(x,y,y). [para(2952(a,1),3371(a,1,2)),flip(a)]. given #3119 (H,wt=12): 3796 T(x,x * (y * y)) = L(x,y,y). [hyper(31,a,3336,a,b,3789,a(flip))]. given #3120 (H,wt=14): 3797 T(x \ 1,y * y) = L(x,y,y) \ 1. [para(3796(a,1),3388(a,1,1)),flip(a)]. given #3121 (H,wt=13): 3798 L(x \ 1,y,y) = L(x,y,y) \ 1. [hyper(58,a,2952,a(flip),b,3797,a)]. given #3122 (H,wt=13): 3802 x * (L(x,y,y) \ 1) = a(x,y,y). [hyper(114,a,3798,a(flip),b,1184,a(flip))]. given #3123 (H,wt=11): 3805 L(x,y,y) \ x = a(x,y,y). [hyper(708,a,3802,a)]. given #3124 (H,wt=11): 3806 a(1 / x,x,y) = a(y,x,x). [hyper(58,a,3139,a,b,3805,a)]. given #3125 (H,wt=11): 3807 a(x,y,y) * L(x,y,y) = x. [para(3805(a,1),2493(a,1,1))]. given #3126 (H,wt=11): 3808 x * a(y,x,x) = L(x,y,x). [para(3806(a,1),2520(a,2,2)),flip(a)]. given #3127 (H,wt=11): 3809 a(x,y,y) * y = L(y,x,y). [para(3806(a,1),2522(a,2,1)),flip(a)]. given #3128 (H,wt=14): 3810 x * L(y,z,z) != y | a(y,z,z) = x. [para(3807(a,1),39(a,1)),flip(a)]. given #3129 (H,wt=14): 3812 L(x,y,x) != z * x | a(y,x,x) = z. [para(3809(a,1),39(a,1))]. given #3130 (H,wt=15): 3374 1 / T(x * x,y) = T(x * x,y) \ 1. [hyper(29,a,1870,a,b,3329,a),flip(a)]. given #3131 (H,wt=15): 3425 ((x / y) \ 1) * x = x * (1 / (y \ x)). [hyper(114,a,3362,a(flip),b,17,a(flip)),flip(a)]. given #3132 (H,wt=15): 3430 (x * (x * y)) * y = y * ((x * x) * y). [para(3367(a,1),366(a,1,1))]. given #3133 (H,wt=15): 3436 1 / (x * (x * y)) = (x * x) \ (1 / y). [para(3367(a,1),3372(a,1,2))]. given #3134 (H,wt=15): 3437 (x * (y * y)) * x = x * ((y * y) * x). [hyper(114,a,3375,a(flip),b,693,a),flip(a)]. given #3135 (H,wt=15): 3456 T(x \ y,x * y) = (x * x) \ (x * y). [para(2954(a,1),3434(a,1,1))]. given #3136 (H,wt=13): 3815 T(x \ y,x * y) = (1 / x) * y. [hyper(272,a,3353,a(flip),b,3456,a),flip(a)]. given #3137 (H,wt=15): 3461 x \ ((y / x) \ 1) = x * ((y * x) \ 1). [hyper(112,a,3442,a(flip),b,3290,a)]. given #3138 (H,wt=15): 3472 (1 / (x / y)) * x = x * ((y \ x) \ 1). [para(3452(a,1),2778(a,1,1))]. given #3139 (H,wt=15): 3473 ((x * x) \ y) * y = y * (x \ (x \ y)). [hyper(114,a,3455,a(flip),b,2907,a),flip(a)]. given #3140 (H,wt=15): 3475 (x \ (x \ y)) * y = y * ((x * x) \ y). [para(3455(a,1),2272(a,1,1))]. given #3141 (H,wt=15): 3478 ((x * x) * y) \ 1 = x \ (x \ (y \ 1)). [para(3375(a,1),3455(a,1,1))]. given #3142 (H,wt=15): 3488 K(x \ 1,x * y) = x * (1 / T(x,y)). [hyper(114,a,3465,a(flip),b,2675,a),flip(a)]. given #3143 (H,wt=15): 3497 x * (x * ((1 / x) * y)) = (x \ 1) \ y. [hyper(58,a,1987,a,b,3480,a)]. given #3144 (H,wt=15): 3500 ((1 / x) \ x) * y = x * ((x \ 1) \ y). [hyper(114,a,3480,a(flip),b,666,a),flip(a)]. given #3145 (H,wt=15): 3501 x \ ((x \ 1) \ y) = x * ((1 / x) * y). [hyper(112,a,3480,a(flip),b,1987,a)]. given #3146 (H,wt=15): 3513 x \ (x / ((y \ x) \ 1)) = (x \ y) \ 1. [hyper(112,a,3486,a,b,3007,a)]. given #3147 (H,wt=15): 3531 (x \ (y * y)) / x = x \ ((y * y) / x). [hyper(112,a,3329,a(flip),b,3499,a),flip(a)]. given #3148 (H,wt=15): 3532 (x \ (x \ 1)) / x = x \ (x \ (x \ 1)). [hyper(112,a,3034,a(flip),b,3499,a),flip(a)]. given #3149 (H,wt=15): 3537 x * ((1 / x) * (y / x)) = y * (1 / x). [para(376(a,2),3499(a,1,2))]. given #3150 (H,wt=15): 3547 x / T(y \ 1,x * y) = (y \ 1) \ x. [para(3450(a,2),3511(a,1,2))]. given #3151 (H,wt=15): 3548 (x \ (x / y)) \ 1 = x \ (x / (y \ 1)). [hyper(112,a,3515,a(flip),b,3007,a),flip(a)]. given #3152 (H,wt=15): 3550 (x \ y) * T(1 / x,y) = x \ (x \ y). [hyper(114,a,3517,a(flip),b,2999,a(flip))]. given #3153 (H,wt=15): 3552 T(x \ (x / (1 / y)),x) = (y \ x) \ x. [hyper(3089,a,3518,a)]. given #3154 (H,wt=15): 3554 ((x \ 1) \ 1) \ y = y * (1 / T(x,y)). [hyper(114,a,3521,a(flip),b,3449,a),flip(a)]. given #3155 (H,wt=15): 3556 (x \ 1) * (x * y) = x * ((1 / x) * y). [hyper(114,a,3352,a(flip),b,3523,a)]. given #3156 (H,wt=15): 3561 (x * x) \ (x \ 1) = x \ (x \ (1 / x)). [para(684(a,1),3525(a,1,2)),flip(a)]. given #3157 (H,wt=15): 3562 (x * x) \ (1 / x) = x \ (x \ (x \ 1)). [para(3034(a,1),3525(a,1,2)),flip(a)]. given #3158 (H,wt=15): 3563 (x * x) \ (y * y) = x \ (x \ (y * y)). [para(3366(a,1),3525(a,1,2)),flip(a)]. given #3159 (H,wt=15): 3576 (x \ 1) * (x * T(y,x)) = x * (y / x). [para(98(a,2),3541(a,1,2))]. given #3160 (H,wt=15): 3587 x * ((x * y) * (1 / x)) = y / (1 / x). [hyper(114,a,3535,a,b,3569,a)]. given #3161 (H,wt=15): 3588 (x \ y) / (1 / x) = x * (y * (1 / x)). [hyper(114,a,3499,a(flip),b,3569,a),flip(a)]. given #3162 (H,wt=15): 3597 L(T(x,y \ 1),y,y) != z | T(x,y) = z. [para(2001(a,1),2856(a,1))]. given #3163 (H,wt=15): 3646 T(x,(1 / y) * z) = T(x,(y \ 1) * z). [para(1948(a,1),3644(a,1,2))]. given #3164 (H,wt=15): 3648 T(x,((y \ 1) \ 1) \ z) = T(x,y \ z). [para(1957(a,1),3645(a,1,2))]. given #3165 (H,wt=15): 3651 T(x * ((y \ 1) \ 1),y) = (y \ 1) \ x. [para(99(a,1),2769(a,1,1,2))]. given #3166 (H,wt=15): 3653 (x \ y) \ ((x \ y) \ y) = (y / x) \ x. [hyper(58,a,265,a(flip),b,2837,a)]. given #3167 (H,wt=15): 3660 (x * y) * K(z,y) = x * ((z * y) / z). [para(2684(a,2),2855(a,2,2))]. given #3168 (H,wt=15): 3662 x * T(x \ y,z) = y * K(z,x \ y). [hyper(485,a,3659,a),flip(a)]. given #3169 (H,wt=15): 3671 x * T(x \ y,z) = y * K(x \ y,z). [hyper(485,a,3664,a),flip(a)]. given #3170 (H,wt=13): 3845 T(K(x / y,z),x) = K(y \ x,z). [hyper(215,a,3175,a,b,3671,a(flip))]. given #3171 (H,wt=11): 3850 K(x / y,x) = K(y \ x,x). [hyper(2820,a,3845,a)]. given #3172 (H,wt=11): 3852 K((x \ y) \ y,y) = K(x,y). [para(72(a,1),3850(a,1,1)),flip(a)]. given #3173 (H,wt=13): 3851 K((x \ y) \ y,z) = T(K(x,z),y). [para(72(a,1),3845(a,1,1,1)),flip(a)]. given #3174 (H,wt=13): 3853 K(T(x,x \ y),z) = T(K(x,z),y). [para(99(a,2),3851(a,1,1))]. given #3175 (H,wt=13): 3854 T(K(x,y),x * z) = K(T(x,z),y). [para(4(a,1),3853(a,1,1,2)),flip(a)]. given #3176 (H,wt=15): 3675 x \ (y * T(y \ x,z)) = K(y \ x,z). [hyper(112,a,3664,a(flip),b,136,a(flip))]. given #3177 (H,wt=15): 3700 T(x * K(y,z),y) = y \ (x * T(y,z)). [para(3688(a,1),100(a,1,1))]. given #3178 (H,wt=15): 3715 ((x / y) * K(z,y)) * y = x * K(z,y). [hyper(272,a,3663,a(flip),b,3711,a),flip(a)]. given #3179 (H,wt=13): 3855 (x / y) * K(x,y) = T(x,y) / y. [hyper(113,a,2674,a,b,3715,a),flip(a)]. given #3180 (H,wt=15): 3717 (K(x,y) * z) * K(y,x) = T(z,K(x,y)). [para(28(a,1),2886(a,2,2))]. given #3181 (H,wt=11): 3858 T(x,K(y,z)) = T(x,K(z,y)). [hyper(58,a,2886,a(flip),b,3717,a)]. given #3182 (H,wt=13): 3860 K(K(x,y),z) * z = T(z,K(y,x)). [hyper(2716,a,3858,a)]. given #3183 (H,wt=11): 3867 K(K(x,y),z) = K(z,K(y,x)). [hyper(30,a,2741,a(flip),b,3860,a),flip(a)]. given #3184 (H,wt=11): 3869 K(x,K(y,z)) = K(x,K(z,y)). [hyper(508,a,3867,a)]. given #3185 (H,wt=13): 3863 x \ T(x,K(y,z)) = K(K(z,y),x). [hyper(112,a,3858,a,b,2652,a(flip))]. given #3186 (H,wt=14): 3866 T(x,K(y,z)) != u | T(u,K(z,y)) = x. [para(3858(a,1),2782(a,1))]. given #3187 (H,wt=14): 3868 T(x,K(y,z)) != u | T(x,K(z,y)) = u. [para(3860(a,1),3085(a,1))]. given #3188 (H,wt=14): 3870 K(x,K(y,z)) != u | K(x,K(z,y)) = u. [para(3867(a,1),508(a,1))]. given #3189 (H,wt=14): 3872 K(x,K(y,z)) != u | K(K(z,y),x) = u. [para(3869(a,1),508(a,1))]. given #3190 (H,wt=14): 3873 K(K(x,y),z) != u | K(z,K(y,x)) = u. [para(3863(a,1),2691(a,1))]. given #3191 (H,wt=15): 3721 ((T(x,y) \ 1) \ 1) \ y = y * (1 / x). [para(2902(a,1),2996(a,1,1))]. given #3192 (H,wt=15): 3722 T(x * y,y) \ (((1 / y) \ x) * z) = z. [hyper(117,a,2919,a)]. given #3193 (H,wt=15): 3727 (x \ y) * T(x,x \ 1) = T(y,x \ 1). [hyper(541,a,2975,a)]. given #3194 (H,wt=15): 3728 T(K(x,y) * z,K(y,x)) = z * K(x,y). [hyper(215,a,2886,a,b,2981,a)]. given #3195 (H,wt=11): 3880 K(x,y) * (K(y,x) * z) = z. [hyper(35,a,3717,a(flip),b,3728,a),flip(a)]. given #3196 (H,wt=11): 3882 K(x,y) \ z = K(y,x) * z. [hyper(288,a,3880,a),flip(a)]. given #3197 (H,wt=11): 3883 x / (K(y,z) * x) = K(z,y). [hyper(122,a,3880,a)]. given #3198 (H,wt=11): 3893 K(x,y) * (K(x,y) * z) = z. [para(28(a,1),3880(a,1,1))]. given #3199 (H,wt=11): 3899 (x * K(y,z)) \ x = K(z,y). [hyper(3311,a,3882,a)]. given #3200 (H,wt=11): 3901 K(x,y) \ z = K(x,y) * z. [para(28(a,1),3882(a,1,1))]. given #3201 (H,wt=11): 3905 x / K(y,z) = x * K(z,y). [hyper(114,a,3883,a(flip),b,3305,a(flip)),flip(a)]. given #3202 (H,wt=11): 3911 (x * K(y,z)) \ x = K(y,z). [hyper(272,a,28,a,b,3899,a),flip(a)]. given #3203 (H,wt=11): 3912 (x * K(y,z)) * K(z,y) = x. [hyper(129,a,3899,a),flip(a)]. given #3204 (H,wt=11): 3923 x / K(y,z) = x * K(y,z). [para(28(a,1),3905(a,1,2))]. given #3205 (H,wt=13): 3885 K(x,y) * (y \ z) = T(y,x) \ z. [hyper(29,a,3174,a,b,3880,a),flip(a)]. given #3206 (H,wt=13): 3886 K(x,y) * (x \ z) = T(x,y) \ z. [hyper(29,a,3153,a,b,3880,a),flip(a)]. given #3207 (H,wt=13): 3887 K(x,y) * (T(y,x) * z) = y * z. [hyper(29,a,2750,a,b,3880,a),flip(a)]. given #3208 (H,wt=13): 3888 K(x,y) * (T(x,y) * z) = x * z. [hyper(29,a,2694,a,b,3880,a),flip(a)]. given #3209 (H,wt=13): 3890 x \ (K(y,z) \ x) = T(K(z,y),x). [hyper(359,a,3880,a(flip),b,137,a(flip)),flip(a)]. given #3210 (H,wt=13): 3891 T(x,y) * (K(y,x) * z) = x * z. [hyper(114,a,3880,a(flip),b,2748,a),flip(a)]. given #3211 (H,wt=13): 3892 x \ (K(y,x) * z) = T(x,y) \ z. [hyper(112,a,3880,a(flip),b,2749,a),flip(a)]. given #3212 (H,wt=13): 3900 (x * y) / (T(x,z) * y) = K(z,x). [hyper(113,a,3195,a(flip),b,3882,a(flip))]. given #3213 (H,wt=13): 3908 x \ (K(x,y) * z) = T(x,y) \ z. [hyper(112,a,3893,a(flip),b,2749,a),flip(a)]. given #3214 (H,wt=13): 3913 (x * T(y,z)) * K(z,y) = x * y. [hyper(34,a,3674,a,b,3899,a),flip(a)]. given #3215 (H,wt=13): 3922 (x * y) / K(z,y) = x * T(y,z). [hyper(272,a,3664,a(flip),b,3905,a),flip(a)]. given #3216 (H,wt=13): 3927 (x * K(y,z)) * T(z,y) = x * z. [para(3905(a,1),3698(a,1,1))]. given #3217 (H,wt=13): 3931 (x / y) * K(z,y) = x / T(y,z). [hyper(30,a,3697,a,b,3912,a),flip(a)]. given #3218 (H,wt=13): 3933 (x * K(y,z)) / z = x / T(z,y). [hyper(113,a,3912,a(flip),b,3668,a),flip(a)]. given #3219 (H,wt=13): 3934 (x * K(y,z)) / y = x / T(y,z). [hyper(113,a,3912,a(flip),b,3663,a),flip(a)]. given #3220 (H,wt=13): 3938 (x * K(y,z)) * T(y,z) = x * y. [para(3912(a,1),3711(a,1,1)),flip(a)]. given #3221 (H,wt=13): 3939 T(x,y) \ (x * z) = K(y,x) * z. [hyper(507,a,3885,a),flip(a)]. given #3222 (H,wt=13): 3944 T(x,y) \ (x * z) = K(x,y) * z. [hyper(507,a,3886,a),flip(a)]. given #3223 (H,wt=13): 3946 x * (T(x,y) \ z) = K(x,y) * z. [hyper(114,a,3886,a(flip),b,3199,a)]. given #3224 (H,wt=13): 3953 x * (T(x,y) \ z) = K(y,x) * z. [hyper(288,a,3887,a),flip(a)]. given #3225 (H,wt=13): 3972 (x / T(y,z)) * y = x * K(z,y). [hyper(278,a,3913,a),flip(a)]. given #3226 (H,wt=13): 3979 (x * y) / T(y,z) = x * K(z,y). [hyper(122,a,3927,a)]. given #3227 (H,wt=13): 3980 (x * K(y,z)) \ (x * z) = T(z,y). [hyper(117,a,3927,a)]. given #3228 (H,wt=13): 3987 (x / y) * K(y,z) = x / T(y,z). [para(28(a,1),3931(a,1,2))]. given #3229 (H,wt=13): 3990 (x / T(y,z)) * y = x * K(y,z). [hyper(125,a,3934,a)]. given #3230 (H,wt=14): 3894 K(x,y) * z != u | K(y,x) * u = z. [para(3880(a,1),38(a,1)),flip(a)]. given #3231 (H,wt=14): 3895 x / (K(y,z) * x) != u | K(z,y) = u. [para(3880(a,1),279(a,1,1))]. given #3232 (H,wt=14): 3896 K(x,y) \ z != u | K(y,x) * z = u. [para(3880(a,1),287(a,1,2))]. given #3233 (H,wt=14): 3906 K(x,y) != z / u | K(y,x) * z = u. [para(3883(a,1),40(a,1))]. given #3234 (H,wt=14): 3909 K(x,y) * z != u | K(x,y) * u = z. [para(3893(a,1),38(a,1)),flip(a)]. given #3235 (H,wt=14): 3914 x * K(y,z) != u | u * K(z,y) = x. [para(3899(a,1),121(a,1,2))]. given #3236 (H,wt=14): 3916 x / K(y,z) != u | x * K(z,y) = u. [para(3899(a,1),280(a,1,2))]. given #3237 (H,wt=12): 4014 T(x,y) != z | x * K(x,y) = z. [para(2676(a,2),3916(a,1))]. given #3238 (H,wt=14): 3919 K(x,y) * (K(x,y) * z) != u | z = u. [para(3901(a,1),230(a,1,2))]. given #3239 (H,wt=14): 3924 (x * K(y,z)) \ x != u | K(z,y) = u. [para(3905(a,1),290(a,1,1))]. given #3240 (H,wt=14): 3928 K(x,y) != z \ u | u * K(x,y) = z. [para(3911(a,1),43(a,1))]. given #3241 (H,wt=14): 3929 x / K(y,z) != u | x * K(y,z) = u. [para(3911(a,1),280(a,1,2))]. given #3242 (H,wt=14): 3967 T(x,y) \ 1 != z | x \ K(x,y) = z. [para(3908(a,1),292(a,1))]. given #3243 (H,wt=15): 3729 K(x,y) \ K(x,z) = K(x,z) * K(y,x). [hyper(112,a,1494,a(flip),b,2981,a)]. given #3244 (H,wt=15): 3731 (((x \ 1) * y) \ y) \ y = y * (1 / x). [hyper(58,a,2280,a(flip),b,2995,a)]. given #3245 (H,wt=15): 3733 ((1 / x) \ y) \ 1 = (y \ 1) * (x \ 1). [hyper(29,a,2976,a,b,3004,a),flip(a)]. given #3246 (H,wt=15): 3735 1 / T(x * y,x) = (1 / x) * (1 / y). [hyper(379,a,3036,a),flip(a)]. given #3247 (H,wt=15): 3737 ((x \ y) \ y) / y = 1 / (1 / (y \ x)). [para(2898(a,1),3068(a,1,1))]. given #3248 (H,wt=15): 3743 x * ((x \ 1) * (y / x)) = y * (x \ 1). [hyper(272,a,2789,a(flip),b,3126,a),flip(a)]. given #3249 (H,wt=15): 3744 (x * (y \ 1)) * (1 / y) = (y * y) \ x. [hyper(272,a,3249,a(flip),b,3133,a),flip(a)]. given #3250 (H,wt=15): 3749 T(x,y) * (T(x,y) * z) = x * (x * z). [hyper(272,a,2956,a(flip),b,3159,a),flip(a)]. given #3251 (H,wt=15): 3752 (x * T(x \ y,z)) / y = K(y / x,z). [hyper(122,a,3175,a)]. given #3252 (H,wt=15): 3759 x * (K(y,x) * (x \ z)) = K(y,x) * z. [hyper(288,a,3182,a),flip(a)]. given #3253 (H,wt=15): 3763 K(x,y) * T(x,z) = K(x,z) * T(x,y). [hyper(272,a,1898,a(flip),b,3204,a)]. given #3254 (H,wt=15): 3765 x / T(y,y \ 1) = (y \ 1) * T(x,y). [hyper(58,a,267,a,b,3227,a)]. given #3255 (H,wt=15): 3767 T(x * y,y) / x = T(T(y,y * x),x). [para(2315(a,1),3234(a,2,1))]. given #3256 (H,wt=15): 3771 ((x / y) \ y) * y = y * (x \ (y * y)). [para(3769(a,1),2778(a,1,1))]. given #3257 (H,wt=15): 3773 T(x * (y \ x),x) = (T(y,x) / x) \ x. [para(3369(a,1),3769(a,1,1))]. given #3258 (H,wt=15): 3774 ((x * x) * y) * y = x * (y * (y * x)). [para(2956(a,1),3279(a,2,2))]. given #3259 (H,wt=15): 3778 (x * T(y,z)) * T(y,z) = (x * y) * y. [hyper(272,a,3252,a,b,3288,a),flip(a)]. given #3260 (H,wt=15): 3779 (x / y) * T(x,y) = (x * x) * (1 / y). [para(2780(a,1),3288(a,1,1))]. given #3261 (H,wt=13): 4038 (x / y) * T(x,y) = (x * x) / y. [hyper(272,a,3329,a(flip),b,3779,a),flip(a)]. given #3262 (H,wt=15): 3782 (x * x) \ (x / y) = (1 / y) / T(x,y). [para(2780(a,1),3293(a,1,2))]. given #3263 (H,wt=15): 3783 (x \ y) * ((y * x) \ y) = (x \ y) / x. [hyper(114,a,3308,a(flip),b,3306,a)]. given #3264 (H,wt=15): 3784 (x * (x * y)) \ x = (x * x) \ (y \ x). [hyper(3312,a,3310,a)]. given #3265 (H,wt=15): 3785 x / ((x * x) * y) = x \ (x \ (x / y)). [para(3305(a,1),3318(a,2,2))]. given #3266 (H,wt=15): 3786 T(x,x \ 1) * (y / x) = T(y,x \ 1). [hyper(543,a,3351,a)]. given #3267 (H,wt=15): 3787 (x \ (1 / x)) * y = (x \ 1) * (x \ y). [hyper(29,a,1153,a,b,3364,a),flip(a)]. given #3268 (H,wt=15): 3816 (x \ y) * (y \ 1) = y * ((x * y) \ 1). [hyper(58,a,2276,a(flip),b,3461,a)]. given #3269 (H,wt=15): 3818 ((x * y) * y) \ 1 = y \ (y \ (x \ 1)). [hyper(58,a,3281,a,b,3478,a)]. given #3270 (H,wt=15): 3820 (x \ 1) \ ((1 / x) \ y) = x * (x * y). [para(5(a,1),3497(a,1,2,2)),flip(a)]. given #3271 (H,wt=15): 3821 ((1 / x) \ x) \ y = (x \ 1) * (x \ y). [hyper(112,a,67,a(flip),b,3500,a)]. given #3272 (H,wt=15): 3828 ((x / y) / y) / (y \ 1) = x * (1 / y). [hyper(58,a,1983,a,b,3537,a)]. given #3273 (H,wt=15): 3829 (x \ 1) \ (y / x) = x * (y * (1 / x)). [hyper(114,a,3537,a(flip),b,3501,a),flip(a)]. given #3274 (H,wt=15): 3830 (1 / x) * (y * (1 / x)) = x \ (y / x). [hyper(114,a,3537,a(flip),b,3122,a)]. given #3275 (H,wt=15): 3832 ((x * y) \ x) \ 1 = x \ (x / (1 / y)). [hyper(35,a,3314,a,b,3552,a)]. given #3276 (H,wt=15): 3833 (((x \ y) \ 1) \ 1) \ y = y * (x / y). [para(2908(a,1),3554(a,2,2))]. given #3277 (H,wt=15): 3835 (x \ 1) \ (y * (1 / x)) = x * (y / x). [hyper(112,a,3537,a(flip),b,3556,a)]. given #3278 (H,wt=15): 3837 (x * (y * (1 / x))) \ (x \ y) = 1 / x. [hyper(172,a,3588,a)]. given #3279 (H,wt=15): 3861 K(x,y) \ (z * K(x,y)) = T(z,K(y,x)). [hyper(583,a,3858,a)]. given #3280 (H,wt=15): 3862 K(x,y) * T(z,K(y,x)) = z * K(x,y). [hyper(114,a,3858,a,b,17,a(flip))]. given #3281 (H,wt=15): 3864 T(x,K(y,z)) * u = T(x,K(z,y)) * u. [hyper(52,a,3858,a)]. given #3282 (H,wt=15): 3865 T(x,K(y,z)) * K(z,y) = K(z,y) * x. [para(3858(a,1),2778(a,1,1))]. given #3283 (H,wt=15): 3871 K(x,K(y,z)) * K(z,y) = T(K(z,y),x). [para(3867(a,1),2741(a,2,1)),flip(a)]. given #3284 (H,wt=15): 3875 ((x \ y) \ 1) \ x = x * (1 / (x / y)). [para(3041(a,1),3721(a,1,1,1))]. given #3285 (H,wt=15): 3878 T(x * y,x \ 1) = y * T(x,x \ 1). [para(4(a,1),3727(a,1,1)),flip(a)]. given #3286 (H,wt=15): 3879 T(x * K(y,z),K(y,z)) = K(y,z) * x. [hyper(3866,a,3728,a)]. given #3287 (H,wt=15): 3884 K(x,y / z) * (z * T(z \ y,x)) = y. [hyper(29,a,3175,a,b,3880,a),flip(a)]. given #3288 (H,wt=15): 3889 K(x,y) * T(K(y,x),z) = K(K(y,x),z). [hyper(29,a,2674,a(flip),b,3880,a),flip(a)]. given #3289 (H,wt=15): 3918 (x * T(x \ y,z)) \ y = K(z,x \ y). [para(3671(a,2),3899(a,1,1))]. given #3290 (H,wt=15): 3921 x / K(y,z \ x) = z * T(z \ x,y). [hyper(272,a,3671,a,b,3905,a),flip(a)]. given #3291 (H,wt=15): 3932 (K(x,y) * T(x,z)) * K(z,x) = T(x,y). [hyper(30,a,3204,a(flip),b,3912,a),flip(a)]. given #3292 (H,wt=15): 3941 T(x,y) * (y \ z) = x * (T(y,x) \ z). [hyper(114,a,3885,a(flip),b,2748,a),flip(a)]. given #3293 (H,wt=13): 4077 T(x,y) * (y \ x) = y \ (x * x). [hyper(272,a,3368,a(flip),b,3941,a),flip(a)]. given #3294 (H,wt=15): 3947 T(x,y) \ (T(x,y) \ z) = x \ (x \ z). [hyper(112,a,3886,a(flip),b,2749,a)]. given #3295 (H,wt=15): 3948 T(x,y) \ (z * x) = K(x,y) * T(z,x). [para(17(a,2),3886(a,1,2)),flip(a)]. given #3296 (H,wt=15): 3954 T(x,y) * (T(y,x) * z) = x * (y * z). [hyper(114,a,3887,a(flip),b,2748,a),flip(a)]. given #3297 (H,wt=15): 3955 T(x,y) \ (y * z) = x \ (T(y,x) * z). [hyper(112,a,3887,a(flip),b,2749,a)]. given #3298 (H,wt=15): 3970 T(x,y) \ (1 / T(x,y)) = x \ (1 / x). [para(2742(a,1),3908(a,1,2)),flip(a)]. given #3299 (H,wt=15): 3975 (x * T(y,z)) / z = (x * y) / T(z,y). [hyper(113,a,3913,a(flip),b,3668,a),flip(a)]. given #3300 (H,wt=13): 4083 (x * T(x,y)) / y = (x / y) * x. [hyper(272,a,3331,a(flip),b,3975,a),flip(a)]. given #3301 (H,wt=13): 4084 ((x / y) * x) * y = x * T(x,y). [hyper(125,a,4083,a)]. given #3302 (H,wt=15): 3982 (T(x,y) * z) * K(y,T(x,z)) = x * z. [hyper(30,a,1113,a(flip),b,3927,a),flip(a)]. given #3303 (H,wt=15): 3992 T(x / T(y,z),y) = y \ (x * K(y,z)). [para(3934(a,1),100(a,1,1))]. given #3304 (H,wt=15): 3998 (x * y) / T(x,z) = T(y,x) * K(x,z). [hyper(113,a,2778,a(flip),b,3938,a)]. given #3305 (H,wt=15): 4000 T(x,y) * (1 / x) = x * (1 / T(x,y)). [hyper(114,a,2742,a(flip),b,3944,a)]. given #3306 (H,wt=15): 4007 (x * T(y,z)) \ ((x * y) * z) = T(z,y). [para(3664(a,1),3980(a,1,1))]. given #3307 (H,wt=15): 4019 x / (x \ (x / (y \ 1))) = x * (1 / y). [hyper(58,a,3317,a,b,3731,a)]. given #3308 (H,wt=15): 4020 1 / ((x \ 1) * (y \ 1)) = (1 / y) \ x. [hyper(178,a,3733,a)]. given #3309 (H,wt=15): 4021 (x \ 1) * ((y \ 1) \ 1) = (y \ x) \ 1. [para(72(a,1),3733(a,1,1,1)),flip(a)]. given #3310 (H,wt=15): 4026 1 / (x / (y \ 1)) = (1 / y) * (1 / x). [para(680(a,1),3735(a,1,2))]. given #3311 (H,wt=15): 4027 ((x \ y) \ 1) \ 1 = ((y \ x) \ x) / x. [hyper(272,a,2898,a(flip),b,3737,a)]. given #3312 (H,wt=15): 4029 ((x * x) * y) * (x \ 1) = y / (1 / x). [hyper(113,a,4,a(flip),b,3744,a),flip(a)]. given #3313 (H,wt=15): 4036 T(x * y,y) / x = T(T(y,x),y * x). [hyper(272,a,18,a,b,3767,a),flip(a)]. given #3314 (H,wt=15): 4043 T(x * y,y \ 1) = T(y,y \ 1) * x. [para(6(a,1),3786(a,1,2)),flip(a)]. given #3315 (H,wt=15): 4045 (x \ (1 / x)) \ y = x * ((x \ 1) \ y). [hyper(112,a,67,a(flip),b,3787,a)]. given #3316 (H,wt=15): 4048 (x * T(x,y)) \ 1 = x \ (T(x,y) \ 1). [hyper(29,a,2633,a(flip),b,3816,a(flip)),flip(a)]. given #3317 (H,wt=15): 4054 ((x * x) \ y) / (x \ 1) = y * (1 / x). [para(3249(a,1),3828(a,1,1))]. given #3318 (H,wt=15): 4055 x * ((1 / x) * (y * (1 / x))) = y / x. [hyper(114,a,3830,a,b,xx)]. given #3319 (H,wt=15): 4063 K(x,T(y,z)) * y = y * K(x,T(y,z)). [hyper(114,a,1894,a(flip),b,3861,a)]. given #3320 (H,wt=15): 4066 x / (x * (1 / (x / y))) = (x \ y) \ 1. [hyper(178,a,3875,a)]. given #3321 (H,wt=15): 4071 K(x,y) * T(K(y,x),z) = K(z,K(x,y)). [hyper(272,a,3867,a(flip),b,3889,a),flip(a)]. given #3322 (H,wt=15): 4085 x * ((x \ y) * (x \ y)) = (y / x) * y. [hyper(58,a,1152,a,b,4083,a)]. given #3323 (H,wt=15): 4086 x \ ((y / x) * y) = (x \ y) * (x \ y). [hyper(112,a,4083,a(flip),b,1152,a)]. given #3324 (H,wt=15): 4092 K(x \ 1,x * y) = T(x,y) * (1 / x). [hyper(272,a,3488,a,b,4000,a)]. given #3325 (H,wt=15): 4094 (x * (1 / y)) \ x = x \ (x / (y \ 1)). [hyper(172,a,4019,a)]. given #3326 (H,wt=15): 4095 x / ((x \ y) \ 1) = x * (1 / (y \ x)). [para(3513(a,1),4019(a,1,2))]. given #3327 (H,wt=15): 4096 1 / (x * (y \ 1)) = (1 / y) \ (1 / x). [para(74(a,1),4020(a,1,2,1))]. given #3328 (H,wt=15): 4097 (x \ (1 / y)) \ 1 = y * ((x \ 1) \ 1). [hyper(533,a,4021,a),flip(a)]. given #3329 (H,wt=15): 4104 ((x \ 1) \ y) \ 1 = (y \ 1) * (1 / x). [para(2826(a,1),4021(a,1,2)),flip(a)]. given #3330 (H,wt=15): 4105 T((x \ y) \ 1,x) = (x \ 1) \ (y \ 1). [para(4021(a,1),3651(a,1,1))]. given #3331 (H,wt=15): 4106 ((1 / x) * (1 / y)) \ 1 = y / (x \ 1). [hyper(172,a,4026,a)]. given #3332 (H,wt=15): 4107 ((x \ y) \ 1) \ 1 = (x * (y \ x)) \ x. [hyper(272,a,3308,a(flip),b,4027,a),flip(a)]. given #3333 (H,wt=15): 4108 T(x / (1 / y),y) = T(y,y \ 1) * x. [hyper(58,a,3225,a,b,4043,a)]. given #3334 (H,wt=15): 4111 (x / (1 / y)) / y = y * ((1 / y) * x). [para(7(a,1),4055(a,1,2,2)),flip(a)]. given #3335 (H,wt=15): 4112 x / (x * (1 / y)) = (x \ (y \ x)) \ 1. [para(72(a,1),4066(a,1,2,2,2))]. given #3336 (H,wt=15): 4115 (x / y) * (x / y) = (y \ x) * (y \ x). [hyper(29,a,2953,a,b,4085,a)]. given #3337 (H,wt=15): 4121 x \ (x / ((y \ 1) \ 1)) = (x * y) \ x. [para(72(a,1),4094(a,1,1,2)),flip(a)]. given #3338 (H,wt=15): 4123 (x \ (x / (y \ 1))) * x = (1 / y) \ x. [para(4094(a,1),3299(a,1,1))]. given #3339 (H,wt=15): 4125 1 / ((x \ 1) * (1 / y)) = (y \ 1) \ x. [hyper(178,a,4104,a)]. given #3340 (H,wt=15): 4126 (((x \ 1) * y) \ 1) * (1 / x) = y \ 1. [para(4(a,1),4104(a,1,1)),flip(a)]. given #3341 (H,wt=15): 4128 (((x \ 1) \ 1) \ y) \ 1 = (y \ 1) * x. [para(72(a,1),4104(a,2,2))]. given #3342 (H,wt=14): 4153 (L(x,x,x) \ y) \ 1 = (y \ 1) * x. [para(2012(a,2),4128(a,1,1,1))]. given #3343 (H,wt=15): 4131 (x \ 1) \ ((x * y) \ 1) = T(y \ 1,x). [para(4(a,1),4105(a,1,1,1)),flip(a)]. given #3344 (H,wt=15): 4132 x / ((y \ 1) \ 1) = (y * (1 / x)) \ 1. [para(72(a,1),4106(a,1,1,1)),flip(a)]. given #3345 (H,wt=15): 4133 (x \ 1) / (y \ 1) = ((1 / y) * x) \ 1. [para(72(a,1),4106(a,1,1,2)),flip(a)]. given #3346 (H,wt=15): 4136 x / (((x \ y) \ 1) \ 1) = x * (y \ x). [hyper(178,a,4107,a(flip))]. given #3347 (H,wt=15): 4138 T(T(x,x \ 1) * y,x) = y / (1 / x). [hyper(2782,a,4108,a)]. given #3348 (H,wt=15): 4146 (x * (y \ 1)) \ x = x \ (x / (1 / y)). [para(2826(a,1),4121(a,1,2,2)),flip(a)]. given #3349 (H,wt=15): 4147 (1 / (x \ y)) \ y = ((y \ x) \ 1) * y. [para(3513(a,1),4123(a,1,1)),flip(a)]. given #3350 (H,wt=15): 4148 1 / ((x \ 1) * y) = ((y \ 1) \ 1) \ x. [para(72(a,1),4125(a,1,2,2))]. given #3351 (H,wt=15): 4149 1 / (x * (1 / y)) = (y \ 1) \ (1 / x). [para(74(a,1),4125(a,1,2,1))]. given #3352 (H,wt=15): 4150 (x \ 1) / (1 / y) = ((y \ 1) * x) \ 1. [hyper(122,a,4126,a)]. given #3353 (H,wt=15): 4151 ((x \ 1) * (1 / y)) \ 1 = y / (1 / x). [hyper(113,a,74,a(flip),b,4126,a),flip(a)]. given #3354 (H,wt=15): 4154 (x * (1 / y)) \ 1 = (x \ 1) * T(y,x). [para(3721(a,1),4128(a,1,1))]. given #3355 (H,wt=15): 4155 (x * (y / x)) \ 1 = (x \ 1) * (y \ x). [para(3833(a,1),4128(a,1,1))]. given #3356 (H,wt=15): 4156 (x \ 1) * T(y \ 1,x) = (x * y) \ 1. [hyper(127,a,4131,a)]. given #3357 (H,wt=15): 4161 (x \ 1) / ((y \ 1) \ 1) = (y * x) \ 1. [para(72(a,1),4132(a,2,1,2))]. given #3358 (H,wt=15): 4162 x / (1 / (1 / y)) = (y * (1 / x)) \ 1. [para(2898(a,2),4132(a,1,2))]. given #3359 (H,wt=15): 4164 ((x \ y) * (1 / x)) \ 1 = x * (y \ x). [hyper(58,a,4132,a(flip),b,4136,a)]. given #3360 (H,wt=15): 4165 T(((x \ 1) \ 1) * y,x) = y / (1 / x). [para(99(a,1),4138(a,1,1,1))]. given #3361 (H,wt=15): 4166 ((x \ 1) \ y) / y = y \ (y / (1 / x)). [hyper(3632,a,4146,a)]. given #3362 (H,wt=15): 4169 ((x \ 1) \ 1) \ (1 / y) = 1 / (y * x). [para(74(a,1),4148(a,1,2,1)),flip(a)]. given #3363 (H,wt=15): 4172 (((x \ 1) \ 1) * y) \ 1 = (y \ 1) / x. [para(72(a,1),4150(a,1,2)),flip(a)]. given #3364 (H,wt=15): 4173 1 / (x / (1 / y)) = (y \ 1) * (1 / x). [hyper(178,a,4151,a)]. given #3365 (H,wt=15): 4176 (x * (1 / y)) \ 1 = x \ T(y,x \ 1). [hyper(272,a,2841,a,b,4154,a),flip(a)]. given #3366 (H,wt=15): 4177 (x \ 1) * ((x * y) \ x) = (y * x) \ 1. [para(2806(a,1),4155(a,1,1)),flip(a)]. given #3367 (H,wt=15): 4178 ((x * y) \ 1) \ (y \ 1) = (x \ 1) \ 1. [hyper(172,a,4161,a)]. given #3368 (H,wt=15): 4181 1 / (x * (y \ x)) = (x \ y) * (1 / x). [hyper(178,a,4164,a)]. given #3369 (H,wt=15): 4185 ((x \ 1) \ 1) * (1 / y) = 1 / (y / x). [para(72(a,1),4173(a,1,2,2)),flip(a)]. given #3370 (H,wt=15): 4190 T(x / T(y,x \ 1),x) = x * (1 / y). [hyper(3078,a,4176,a)]. given #3371 (H,wt=15): 4191 ((x / y) \ 1) \ 1 = (x \ 1) \ (y \ 1). [para(7(a,1),4178(a,1,1,1)),flip(a)]. given #3372 (H,wt=15): 4193 (x \ (x / y)) * (1 / x) = 1 / (x * y). [para(74(a,1),4181(a,1,2,2)),flip(a)]. given #3373 (H,wt=15): 4195 x / T(y,x \ 1) = T(x * (1 / y),x). [hyper(2782,a,4190,a),flip(a)]. given #3374 (H,wt=15): 4196 x * (1 / T(y,x \ 1)) = T(x / y,x). [para(2765(a,1),4190(a,1,1,2)),flip(a)]. given #3375 (H,wt=15): 4197 ((x / (1 / y)) \ 1) \ 1 = (x \ 1) \ y. [para(74(a,1),4191(a,2,2))]. given #3376 (H,wt=15): 4201 1 / ((x \ 1) \ y) = (x / (1 / y)) \ 1. [hyper(178,a,4197,a)]. given #3377 (H,wt=16): 2723 T(x,y) \ x != z * u | z \ K(y,x) = u. [para(2654(a,1),285(a,1,2))]. given #3378 (H,wt=16): 2738 x * K(x,y) != z * u | T(x,y) / u = z. [para(2672(a,2),283(a,1,2))]. given #3379 (H,wt=16): 2752 x * K(x,x \ y) != z | (x \ y) \ y = z. [para(2674(a,1),570(a,1))]. given #3380 (H,wt=16): 2753 T(x,y) \ x != z \ u | z * K(y,x) = u. [para(2676(a,2),506(a,1,1))]. given #3381 (H,wt=14): 4205 K(x,y) != z \ u | z * K(y,x) = u. [para(2647(a,2),2753(a,1))]. given #3382 (H,wt=16): 2812 T(x,y) * y != z * u | (y * x) / u = z. [para(2774(a,2),467(a,1,1))]. given #3383 (H,wt=16): 2813 T(x \ y,x) != z * u | (y / x) / u = z. [para(2774(a,2),483(a,1))]. given #3384 (H,wt=16): 2834 (x / y) / y != z | (1 / y) * (y \ x) = z. [para(2775(a,1),379(a,1,1))]. given #3385 (H,wt=16): 2910 (x / y) \ 1 != y \ z | (x \ y) * y = z. [para(2768(a,1),128(a,1))]. given #3386 (H,wt=16): 2927 x * T(y,z) != u * x | T(T(y,x),z) = u. [para(2777(a,1),217(a,1,2))]. given #3387 (H,wt=16): 3024 (x * (y * y)) \ ((y * y) * x) = a(y,y,x). [para(2956(a,2),9(a,2,1)),flip(a)]. given #3388 (H,wt=10): 4210 K(x,y * y) = a(y,y,x). [hyper(509,a,3024,a)]. given #3389 (H,wt=10): 4211 K(x * x,y) = a(x,x,y). [hyper(293,a,3024,a)]. given #3390 (H,wt=11): 4213 x * a(y,y,x) = L(x,y,y). [para(4210(a,1),2964(a,1,2))]. given #3391 (H,wt=11): 4215 x \ L(x,y,y) = a(y,y,x). [hyper(117,a,4213,a)]. given #3392 (H,wt=11): 4217 a(x,x,y \ 1) = a(y,x,x). [hyper(29,a,2516,a,b,4213,a),flip(a)]. given #3393 (H,wt=11): 4219 a(x,x,y) * y = L(y,x,x). [para(4215(a,1),2495(a,1,1))]. given #3394 (H,wt=12): 4220 K(x * x,y \ 1) = a(y,x,x). [hyper(58,a,4211,a,b,4217,a)]. given #3395 (H,wt=13): 4212 a(x,x,y) != z | K(x * x,y) = z. [para(3024(a,1),293(a,1))]. given #3396 (H,wt=14): 4214 x * (x * a(x,x,y)) = T(x * x,y). [para(4210(a,1),3020(a,1,2,2))]. given #3397 (H,wt=14): 4218 L(x,y,y) != x * z | a(y,y,x) = z. [para(4213(a,1),38(a,1))]. given #3398 (H,wt=14): 4222 x \ T(x * x,y) = x * a(x,x,y). [hyper(117,a,4214,a)]. given #3399 (H,wt=14): 4224 x \ (x \ T(x * x,y)) = a(x,x,y). [para(4214(a,1),62(a,1,2,2))]. given #3400 (H,wt=14): 4225 T(x * x,y) / x = x * a(x,x,y). [hyper(58,a,2194,a,b,4222,a)]. given #3401 (H,wt=14): 4228 T(x * x,y) / x = a(x,x,y) * x. [hyper(272,a,1189,a,b,4225,a),flip(a)]. given #3402 (H,wt=15): 4221 a(x,y,y) != z | K(y * y,x \ 1) = z. [para(4217(a,1),4212(a,1))]. given #3403 (H,wt=16): 3056 (x * x) * (L(y,x,x) \ 1) = y \ (x * x). [para(2952(a,1),3006(a,1,2,1))]. given #3404 (H,wt=16): 3067 L(1 / (x \ y),x,x) = T(x / y,x \ 1). [para(3030(a,1),2001(a,1,1)),flip(a)]. given #3405 (H,wt=16): 3073 x * (x / (x * y)) != z | (1 / y) * x = z. [para(3031(a,1),248(a,1,2))]. given #3406 (H,wt=16): 3091 (x * (x * y)) / y != z | T(x * x,y) = z. [para(2956(a,1),2785(a,1,1))]. given #3407 (H,wt=16): 3098 ((x * y) \ y) * y != z | y * (x \ 1) = z. [para(2258(a,1),2808(a,1,1))]. given #3408 (H,wt=16): 3100 (x * (y * (x \ 1))) * x != z | x * y = z. [para(2843(a,1),2808(a,1,1))]. given #3409 (H,wt=16): 3106 L(T(x * y,z),y,y) = T(x / (1 / y),z). [para(2966(a,1),20(a,2,1))]. given #3410 (H,wt=16): 3131 L(x,y,y) * (y \ 1) = x / ((y \ 1) \ 1). [para(3109(a,1),695(a,1,1))]. given #3411 (H,wt=16): 3134 L(T(x * (y \ 1),z),y,y) = T(x / y,z). [para(3112(a,1),20(a,2,1))]. given #3412 (H,wt=16): 3137 L(x,y \ 1,y \ 1) = y * ((y \ 1) * x). [hyper(296,a,3118,a),flip(a)]. given #3413 (H,wt=13): 4234 L(x,y \ 1,y \ 1) = L(x,y,y). [hyper(272,a,3109,a(flip),b,3137,a),flip(a)]. given #3414 (H,wt=13): 4236 L(x,1 / y,y \ 1) = L(x,y,y). [hyper(58,a,2461,a,b,4234,a)]. given #3415 (H,wt=13): 4237 L(x,1 / y,1 / y) = L(x,y,y). [hyper(58,a,2449,a,b,4236,a)]. given #3416 (H,wt=16): 3168 x \ K(x \ 1,y) != z | T(x \ 1,y) = z. [para(2671(a,1),287(a,1,2))]. given #3417 (H,wt=16): 3183 T(x,y) * z != K(y,x) * u | x * z = u. [para(2694(a,1),38(a,1))]. given #3418 (H,wt=16): 3188 T(1 / x,y) != z / x | K(y,x \ 1) = z. [para(2715(a,1),41(a,1))]. given #3419 (H,wt=16): 3192 x * (K(x,y) * z) != u | T(x,y) * z = u. [para(2748(a,1),230(a,1,2))]. given #3420 (H,wt=16): 3201 K(x,y) * (x * z) != u | T(x,y) * z = u. [para(2749(a,1),507(a,1))]. given #3421 (H,wt=16): 3212 T(x,y) * z != K(x,y) * u | x * z = u. [para(2750(a,1),38(a,1))]. given #3422 (H,wt=16): 3213 K(x,y) * (x * z) != u * z | T(x,y) = u. [para(2750(a,2),39(a,1))]. given #3423 (H,wt=16): 3222 T(x,y) != T(z,u) | T(z * K(y,z),u) = x. [para(2758(a,1),44(a,2)),flip(b)]. given #3424 (H,wt=16): 3224 T(T(x / y,z),y) != u | T(y \ x,z) = u. [para(2776(a,1),2810(a,1,1))]. given #3425 (H,wt=16): 3229 (1 / x) * (y * x) != z | T(y,x \ 1) = z. [para(2791(a,1),230(a,1,2))]. given #3426 (H,wt=16): 3239 (K(x,y) * z) * u != z | T(K(y,x),z) = u. [para(2883(a,1),38(a,1)),flip(a)]. given #3427 (H,wt=16): 3242 T(x,y) != T(z,y) \ 1 | (y * z) \ y = x. [para(2905(a,1),44(a,1)),flip(a)]. given #3428 (H,wt=16): 3245 x * T(y,x \ 1) != z | y / (x \ 1) = z. [para(2928(a,1),230(a,1,2))]. given #3429 (H,wt=16): 3246 T(x,y \ 1) != y \ z | T(y * x,y) = z. [para(2937(a,1),42(a,1))]. given #3430 (H,wt=16): 3282 (x * (y * y)) \ ((y * y) * x) = a(x,y,y). [hyper(112,a,3252,a(flip),b,79,a)]. given #3431 (H,wt=9): 4244 a(x,y,y) = a(y,y,x). [hyper(58,a,3024,a(flip),b,3282,a),flip(a)]. given #3432 (H,wt=10): 4243 K(x,y * y) = a(x,y,y). [hyper(509,a,3282,a)]. given #3433 (H,wt=11): 4246 a(x \ 1,y,y) = a(x,y,y). [hyper(272,a,4217,a(flip),b,4244,a),flip(a)]. given #3434 (H,wt=11): 4247 x * a(x,y,y) = L(x,y,y). [hyper(114,a,4244,a,b,4215,a)]. given #3435 (H,wt=11): 4248 x * a(x,x,y) = L(x,y,x). [para(4244(a,1),3808(a,1,2))]. given #3436 (H,wt=12): 4245 K(x * x,y \ 1) = a(x,x,y). [hyper(4221,a,4244,a)]. given #3437 (H,wt=12): 4250 T(x * x,y) / x = L(x,y,x). [hyper(58,a,4225,a,b,4248,a)]. given #3438 (H,wt=12): 4251 x * L(x,y,x) = T(x * x,y). [hyper(114,a,4248,a(flip),b,4222,a)]. given #3439 (H,wt=14): 4249 x \ L(x,y,y) != z | a(x,y,y) = z. [para(4247(a,1),287(a,1,2))]. given #3440 (H,wt=12): 4254 a(x,x,y) != z | a(y,x,x) = z. [para(4215(a,1),4249(a,1))]. given #3441 (H,wt=13): 4255 K(x,y * y) != z | a(x,y,y) = z. [para(4210(a,2),4254(a,1))]. given #3442 (H,wt=16): 3287 L((x * y) * y,x,x) = (y * y) / (1 / x). [para(3252(a,2),2966(a,1,1))]. given #3443 (H,wt=16): 3327 x * ((x \ y) \ 1) != z | (y / x) \ x = z. [para(3000(a,1),230(a,1,2))]. given #3444 (H,wt=16): 3343 T((x \ 1) * y,x) != z | y * (1 / x) = z. [para(3127(a,1),2810(a,1,1))]. given #3445 (H,wt=16): 3354 (x * x) \ (x * y) != z | (1 / x) * y = z. [para(3145(a,2),379(a,1))]. given #3446 (H,wt=16): 3356 x \ y != K(z,x) * u | T(x,z) \ y = u. [para(3153(a,1),38(a,1))]. given #3447 (H,wt=16): 3358 T(1 / x,y) != z / x | K(x \ 1,y) = z. [para(3167(a,1),41(a,1))]. given #3448 (H,wt=16): 3360 x \ y != K(x,z) * u | T(x,z) \ y = u. [para(3174(a,1),38(a,1))]. given #3449 (H,wt=16): 3376 L((1 / x) * (1 / x),y,y) = (x \ 1) / x. [hyper(272,a,376,a(flip),b,3373,a),flip(a)]. given #3450 (H,wt=16): 3382 L(L(x * x,y,z),u,u) = L(x * x,y,z). [para(3373(a,1),25(a,1,1)),flip(a)]. given #3451 (H,wt=16): 3384 (x * x) * (1 / y) != z | (x * x) / y = z. [para(3330(a,1),230(a,1,2))]. given #3452 (H,wt=16): 3408 x * K(y,x \ 1) != z | T(x,x * y) = z. [para(3397(a,2),2737(a,1,2))]. given #3453 (H,wt=16): 3412 T(1 / x,y) != 1 / z | T(x,x * y) = z. [para(3336(a,1),40(a,1))]. given #3454 (H,wt=16): 3413 T(x,y) != z * (1 / y) | (y \ 1) * z = x. [para(3339(a,1),44(a,1)),flip(a)]. given #3455 (H,wt=16): 3414 T(x * (1 / y),y) != z | (y \ 1) * x = z. [para(3339(a,1),2810(a,1,1))]. given #3456 (H,wt=16): 3423 (x \ 1) / (x \ K(x,y)) != z | K(y,x) = z. [para(3357(a,1),279(a,1,1))]. given #3457 (H,wt=16): 3428 (1 / x) \ (y * y) != z | x * (y * y) = z. [para(3366(a,1),533(a,1))]. given #3458 (H,wt=16): 3435 ((x * x) \ y) \ 1 != z | y \ (x * x) = z. [para(3372(a,1),290(a,1,1))]. given #3459 (H,wt=16): 3445 T((x / y) \ 1,x) != z | 1 / (y \ x) = z. [para(3424(a,1),2810(a,1,1))]. given #3460 (H,wt=16): 3467 x * ((y \ x) \ x) != z | (y \ 1) \ x = z. [para(3449(a,1),230(a,1,2))]. given #3461 (H,wt=16): 3505 (x * (y / x)) * x != z | (x \ 1) \ y = z. [para(3481(a,1),227(a,1,1))]. given #3462 (H,wt=16): 3528 (x \ 1) \ (x * y) != z | (x * x) * y = z. [para(3498(a,1),507(a,1))]. given #3463 (H,wt=16): 3536 x \ (y * (1 / x)) != z | (x \ y) / x = z. [para(3499(a,1),287(a,1,2))]. given #3464 (H,wt=16): 3553 ((x \ y) \ y) * y != z | y / (1 / x) = z. [para(3518(a,1),227(a,1,1))]. given #3465 (H,wt=16): 3560 (x * x) \ y != x \ z | (x \ 1) * y = z. [para(3525(a,1),42(a,1))]. given #3466 (H,wt=16): 3564 (x \ 1) * y != x * z | (x * x) * z = y. [para(3526(a,1),38(a,1)),flip(a)]. given #3467 (H,wt=16): 3565 x \ ((x \ 1) * y) != z | (x * x) \ y = z. [para(3527(a,1),287(a,1,2))]. given #3468 (H,wt=16): 3572 x \ (x \ y) != z / x | y * (1 / x) = z. [para(3534(a,1),41(a,1))]. given #3469 (H,wt=16): 3584 x * T(1 / x,y) != z | K(x,x \ y) = z. [para(3549(a,1),230(a,1,2))]. given #3470 (H,wt=16): 3591 x * (x * (y / x)) != z | y / (1 / x) = z. [para(3569(a,1),230(a,1,2))]. given #3471 (H,wt=16): 3593 x \ (y / x) != z / x | (x \ 1) * y = z. [para(3582(a,1),41(a,1))]. given #3472 (H,wt=16): 3596 K(x,x * y) * K(y,x) = x \ L(x,y,x). [para(2728(a,2),3174(a,1,2))]. given #3473 (H,wt=16): 3602 x * (y * y) != z | T((x * y) * y,x) = z. [para(3458(a,1),2938(a,1,2))]. given #3474 (H,wt=16): 3604 T((x * x) * y,y) != z | y * (x * x) = z. [para(3429(a,2),2958(a,1))]. given #3475 (H,wt=16): 3608 x \ (y / x) != z | (x \ y) * (x \ 1) = z. [para(2775(a,1),2979(a,1,2))]. given #3476 (H,wt=16): 3610 T(x,y \ 1) != z | (y * x) * (y \ 1) = z. [para(2937(a,1),2979(a,1))]. given #3477 (H,wt=16): 3612 L(x,y,z) \ x != u | x / L(x,y,z) = u. [para(2498(a,1),2988(a,1,1))]. given #3478 (H,wt=16): 3615 (1 / x) \ (y * y) != z | y * (y * x) = z. [para(3379(a,2),3013(a,1))]. given #3479 (H,wt=16): 3616 ((x * x) / y) \ 1 != z | x \ (x \ y) = z. [para(3427(a,2),3062(a,1))]. given #3480 (H,wt=16): 3617 (T(x,y) \ 1) \ x != z | x * T(x,y) = z. [para(1867(a,1),3072(a,1,1))]. given #3481 (H,wt=16): 3628 (x \ 1) \ (x * y) != z | (y * x) * x = z. [para(3523(a,2),3291(a,1))]. given #3482 (H,wt=16): 3629 (1 / x) * (1 / x) != y | x \ (1 / x) = y. [para(148(a,1),3319(a,1,1))]. given #3483 (H,wt=14): 4262 (x \ 1) / x != y | x \ (1 / x) = y. [para(376(a,1),3629(a,1))]. given #3484 (H,wt=16): 3638 K(x,y) * K(x * y,x) = x \ R(x,y,x). [hyper(112,a,3620,a(flip),b,2687,a),flip(a)]. given #3485 (H,wt=16): 3654 L(x * (1 / y),y,y) = (y \ 1) * T(x,y). [hyper(2038,a,2841,a)]. given #3486 (H,wt=16): 3665 (x / y) * T(y,z) != u | x * K(z,y) = u. [para(3659(a,1),278(a,1))]. given #3487 (H,wt=16): 3678 x \ (y * T(z,u)) != K(z,u) | y * z = x. [para(3664(a,1),129(a,1,2))]. given #3488 (H,wt=16): 3692 (x * y) * K(y,z) != u | x * T(y,z) = u. [para(3674(a,1),230(a,1,2))]. given #3489 (H,wt=16): 3701 (x * K(y,z)) * y != u | x * T(y,z) = u. [para(3688(a,1),227(a,1,1))]. given #3490 (H,wt=16): 3705 x / y != z * K(y,u) | x / T(y,u) = z. [para(3697(a,1),39(a,1))]. given #3491 (H,wt=16): 3791 x * (1 / L(y,x,x)) = (1 / x) \ (1 / y). [hyper(114,a,3790,a(flip),b,1998,a)]. given #3492 (H,wt=16): 3792 (1 / L(x,y,y)) / y = (1 / x) * (1 / y). [hyper(113,a,3790,a(flip),b,2006,a)]. given #3493 (H,wt=16): 3793 x \ (1 / L(y,x,x)) = (x \ 1) * (1 / y). [hyper(112,a,3790,a(flip),b,3109,a)]. given #3494 (H,wt=16): 3795 x * (1 / L(x,y,y)) = K(x,x \ (y * y)). [hyper(114,a,3789,a(flip),b,3549,a)]. given #3495 (H,wt=16): 3800 x * (L(y,x,x) \ 1) = T((y \ 1) * x,x). [hyper(114,a,3798,a(flip),b,2918,a)]. given #3496 (H,wt=16): 3801 x * (L(y,x,x) \ 1) = (1 / x) \ (y \ 1). [hyper(114,a,3798,a(flip),b,1998,a)]. given #3497 (H,wt=16): 3949 T(x,y) \ (x * z) != u | K(x,y) * z = u. [para(3886(a,1),507(a,1))]. given #3498 (H,wt=16): 3963 K(x,y) * (T(y,x) * z) != u | y * z = u. [para(3900(a,1),227(a,1,1))]. given #3499 (H,wt=16): 3985 (x * y) / T(y,z) != u | x * K(z,y) = u. [para(3927(a,1),279(a,1,1))]. given #3500 (H,wt=16): 4013 (K(x,y) \ 1) \ z != u | K(x,y) * z = u. [para(2878(a,2),3896(a,1,1))]. given #3501 (H,wt=16): 4015 K(x,y) * (y \ z) != u | T(y,x) \ z = u. [para(3153(a,1),3919(a,1,2))]. given #3502 (H,wt=16): 4016 K(x,y) * (x \ z) != u | T(x,y) \ z = u. [para(3174(a,1),3919(a,1,2))]. given #3503 (H,wt=16): 4018 x * T(y,z) != u | (x * y) * K(z,y) = u. [para(3922(a,1),3929(a,1))]. given #3504 (H,wt=16): 4098 L((x \ 1) \ 1,y,y) = y * ((x \ y) \ 1). [hyper(114,a,4021,a(flip),b,2969,a),flip(a)]. given #3505 (H,wt=16): 4170 (x \ 1) \ (1 / L(y,x,x)) = 1 / (y / x). [para(2972(a,1),4149(a,1,2)),flip(a)]. given #3506 (H,wt=16): 4186 1 / L(x * y,y,y) = (y \ 1) * (1 / x). [para(2966(a,2),4173(a,1,2))]. given #3507 (H,wt=16): 4187 (x \ 1) * (1 / (y / x)) = 1 / L(y,x,x). [para(3105(a,1),4173(a,1,2)),flip(a)]. given #3508 (H,wt=16): 4204 x \ T(x,y) != z \ u | z * K(x,y) = u. [para(2576(a,1),2753(a,1))]. given #3509 (H,wt=16): 4206 T(x,y) \ x != z \ u | z * K(x,y) = u. [para(2648(a,1),4205(a,1))]. given #3510 (H,wt=16): 4216 a(x,x,T(y,x)) = T(y,x) \ T(y,x \ 1). [hyper(112,a,2792,a(flip),b,4213,a),flip(a)]. given #3511 (H,wt=16): 4230 (L(x,y,y) \ 1) * y = (x \ (y * y)) / y. [hyper(113,a,3056,a(flip),b,3252,a),flip(a)]. given #3512 (H,wt=16): 4231 1 / L(x \ y,x,x) = T(x / y,x \ 1). [hyper(58,a,3790,a(flip),b,3067,a)]. given #3513 (H,wt=15): 4276 1 / (T(x,y) / y) = T(y / x,y \ 1). [para(3129(a,1),4231(a,1,2))]. given #3514 (H,wt=16): 4232 L(x,y,y) * (y \ 1) = (y * (1 / x)) \ 1. [hyper(272,a,4132,a(flip),b,3131,a),flip(a)]. given #3515 (H,wt=16): 4233 L(((x \ 1) \ 1) \ y,x,x) = (x \ 1) * y. [hyper(30,a,721,a(flip),b,3131,a),flip(a)]. given #3516 (H,wt=15): 4278 ((x \ 1) \ 1) \ T(y,x) = y * (1 / x). [hyper(36,a,3654,a,b,4233,a),flip(a)]. given #3517 (H,wt=15): 4279 ((x \ 1) \ 1) \ y = T(y,x) * (1 / x). [para(2765(a,1),4278(a,1,2))]. given #3518 (H,wt=15): 4280 T(x,x \ 1) \ y = T(y,x) * (1 / x). [hyper(571,a,4279,a)]. given #3519 (H,wt=15): 4281 T(1 / x,y) * (1 / y) = 1 / (x * y). [hyper(58,a,4169,a(flip),b,4279,a),flip(a)]. given #3520 (H,wt=15): 4283 (T(x,y) * (1 / y)) \ 1 = (x \ 1) * y. [para(4279(a,1),4128(a,1,1))]. given #3521 (H,wt=16): 4235 L(x,y \ 1,y \ 1) != z | L(x,y,y) = z. [para(3137(a,2),3114(a,1))]. given #3522 (H,wt=16): 4252 L(L(x,y,x),x,x) = (x \ 1) \ a(x,x,y). [para(4248(a,1),2002(a,1,1))]. given #3523 (H,wt=16): 4253 (1 / x) \ L(x,y,x) = T((1 / x) \ x,y). [hyper(112,a,4250,a(flip),b,578,a)]. given #3524 (H,wt=16): 4258 L((x \ 1) * (x \ 1),y,y) = (x \ 1) / x. [para(4115(a,1),3376(a,1,1))]. given #3525 (H,wt=14): 4284 L(x \ (1 / x),y,y) = (x \ 1) / x. [para(684(a,1),4258(a,1,1))]. given #3526 (H,wt=14): 4285 L(x \ (1 / x),y,y) = x \ (1 / x). [hyper(272,a,3533,a(flip),b,4284,a),flip(a)]. given #3527 (H,wt=16): 4259 x * (y * x) != z | (x * y) / (1 / x) = z. [para(2806(a,1),3591(a,1,2))]. given #3528 (H,wt=16): 4260 K(x,y) * K(y,y * x) = y \ L(y,x,y). [hyper(1492,a,3596,a)]. given #3529 (H,wt=16): 4263 K(x * y,x) * K(x,y) = x \ R(x,y,x). [hyper(1492,a,3638,a)]. given #3530 (H,wt=16): 4266 (x * y) * K(z,y) != u | x * T(y,z) = u. [para(28(a,1),3692(a,1,2))]. given #3531 (H,wt=16): 4273 T(x,y) \ z != u | K(x,y) * (x \ z) = u. [para(5(a,1),3949(a,1,2))]. given #3532 (H,wt=17): 2641 T(x,y) * T(x * z,x) = (T(x,y) * z) * x. [para(2632(a,1),1163(a,1,1)),flip(a)]. given #3533 (H,wt=17): 2719 T(x,L(y * K(x,y),z,u)) = T(x,L(y,z,u)). [para(2652(a,1),2234(a,1,2,1))]. given #3534 (H,wt=17): 2739 x \ ((y * T(x,z)) / x) = (x \ y) * K(x,z). [para(2672(a,2),1149(a,2,2))]. given #3535 (H,wt=15): 4298 x \ (y * K(x,z)) = (x \ y) * K(x,z). [para(3688(a,1),2739(a,1,2))]. given #3536 (H,wt=15): 4299 x * ((x \ y) * K(x,z)) = y * K(x,z). [hyper(127,a,4298,a)]. given #3537 (H,wt=15): 4300 T(x / T(y,z),y) = (y \ x) * K(y,z). [hyper(58,a,3992,a,b,4298,a)]. given #3538 (H,wt=15): 4303 (x * y) * K(x,z) = x * (y * K(x,z)). [para(4(a,1),4299(a,1,2,1)),flip(a)]. given #3539 (H,wt=8): 4309 R(x,y,K(x,z)) = x. [hyper(453,a,4303,a)]. given #3540 (H,wt=10): 4308 L(K(x,y),z,x) = K(x,y). [hyper(2469,a,4303,a)]. given #3541 (H,wt=8): 4316 a(x,y,K(x,z)) = 1. [hyper(48,a,4308,a)]. given #3542 (H,wt=8): 4317 a(x,y,K(z,x)) = 1. [para(28(a,1),4316(a,1,3))]. given #3543 (H,wt=10): 4318 L(K(x,y),z,y) = K(x,y). [hyper(47,a,4317,a)]. given #3544 (H,wt=15): 4319 (x * y) * K(z,x) = x * (y * K(z,x)). [hyper(114,a,4318,a(flip),b,13,a(flip))]. given #3545 (H,wt=17): 2762 L(x * K(y,x),z,u) * y = y * L(x,z,u). [para(2685(a,1),213(a,1,2,1)),flip(a)]. given #3546 (H,wt=17): 2815 T(x * y,y) * (z * y) = y * ((x * z) * y). [para(2774(a,2),415(a,1,1))]. given #3547 (H,wt=17): 2816 x * (((y / x) * z) * x) = T(y,x) * (z * x). [para(2774(a,2),853(a,1,1)),flip(a)]. given #3548 (H,wt=17): 2823 ((x * y) \ x) * (x \ 1) = x \ (T(y,x) \ 1). [para(2774(a,2),2276(a,1,2,1)),flip(a)]. given #3549 (H,wt=17): 2853 (L(x,y,z) \ 1) * x = x * (1 / L(x,y,z)). [para(2525(a,1),2778(a,1,1))]. given #3550 (H,wt=17): 2872 R(x * K(y,x),z,u) = (y * R(x,z,u)) / y. [para(2684(a,1),740(a,1,1))]. given #3551 (H,wt=17): 2877 x \ (y * T(y \ x,z)) = K((x \ y) \ 1,z). [hyper(2379,a,2740,a)]. given #3552 (H,wt=13): 4328 K((x \ y) \ 1,z) = K(y \ x,z). [hyper(58,a,3675,a(flip),b,2877,a),flip(a)]. given #3553 (H,wt=17): 2911 (x * x) * ((y / x) \ 1) = (x * (y \ x)) * x. [para(2768(a,1),1159(a,1,2))]. given #3554 (H,wt=17): 2922 (x * x) * ((1 / x) \ y) = (x * (y * x)) * x. [para(2773(a,1),1159(a,1,2))]. given #3555 (H,wt=17): 2929 (1 / x) * T(x \ y,z) = T(y / x,z) / x. [para(222(a,1),2780(a,1,2))]. given #3556 (H,wt=17): 2974 (x * x) * y != z | x * (x * L(y,x,x)) = z. [para(2965(a,1),251(a,1,2))]. given #3557 (H,wt=17): 3001 T((x * y) \ 1,x \ 1) = (x \ 1) * (y \ 1). [hyper(2285,a,2935,a)]. given #3558 (H,wt=17): 3003 L(T(x,y),z,u) \ y = y * (L(x,z,u) \ 1). [para(20(a,2),2935(a,1,1))]. given #3559 (H,wt=16): 4340 x * (L(y,x,x) \ 1) = T(y,x \ 1) \ x. [para(2792(a,1),3003(a,1,1)),flip(a)]. given #3560 (H,wt=15): 4341 T((x \ 1) * y,y) = T(x,y \ 1) \ y. [hyper(58,a,3800,a(flip),b,4340,a)]. given #3561 (H,wt=17): 3005 T(x,y \ 1) \ (1 / y) = (1 / y) * (x \ 1). [para(1967(a,1),2935(a,1,1))]. given #3562 (H,wt=17): 3018 (x * (y \ x)) * (y \ 1) = (y \ x) * (y \ x). [hyper(983,a,2956,a)]. given #3563 (H,wt=17): 3026 ((x * x) * y) \ (x * (x * y)) = K(x * x,y). [para(2956(a,1),109(a,2,2)),flip(a)]. given #3564 (H,wt=17): 3027 (x \ 1) * ((x \ 1) * y) = y * (x \ (1 / x)). [para(684(a,1),2956(a,1,2)),flip(a)]. given #3565 (H,wt=17): 3040 R(T(x,y),z,u) \ 1 = y \ (R(x,z,u) \ y). [para(22(a,2),2999(a,1,1))]. given #3566 (H,wt=17): 3042 T(T(x,y) \ 1,y \ 1) = (x \ y) * (y \ 1). [para(2999(a,2),383(a,1,1))]. given #3567 (H,wt=15): 4343 (x \ y) \ (x \ 1) = (y \ x) * (x \ 1). [hyper(58,a,2277,a(flip),b,3042,a)]. given #3568 (H,wt=15): 4344 (x \ y) \ (x \ 1) = x * ((y * x) \ 1). [hyper(272,a,3816,a(flip),b,4343,a),flip(a)]. given #3569 (H,wt=15): 4345 ((x * y) \ x) * (x \ 1) = y \ (x \ 1). [para(4(a,1),4343(a,1,1)),flip(a)]. given #3570 (H,wt=13): 4347 x \ (T(y,x) \ 1) = y \ (x \ 1). [hyper(58,a,2823,a(flip),b,4345,a)]. given #3571 (H,wt=13): 4352 T(x,y) \ (y \ 1) = y \ (x \ 1). [para(2765(a,1),4347(a,1,2,1)),flip(a)]. given #3572 (H,wt=13): 4355 x \ (x \ (y \ x)) = y \ (x \ 1). [para(2999(a,1),4347(a,1,2))]. given #3573 (H,wt=13): 4356 (x / y) \ (x \ 1) = x \ (x \ y). [para(3041(a,1),4347(a,1,2)),flip(a)]. given #3574 (H,wt=13): 4358 x * (y \ (x \ 1)) = x \ (y \ x). [hyper(127,a,4355,a)]. given #3575 (H,wt=15): 4346 x * (((x * y) * x) \ 1) = y \ (x \ 1). [para(4(a,1),4344(a,1,1)),flip(a)]. given #3576 (H,wt=15): 4349 ((x * y) * x) \ 1 = x \ (y \ (x \ 1)). [hyper(112,a,4345,a(flip),b,3816,a(flip)),flip(a)]. given #3577 (H,wt=15): 4351 (x / y) \ (y \ 1) = y \ ((y \ x) \ 1). [para(100(a,1),4347(a,1,2,1)),flip(a)]. given #3578 (H,wt=15): 4353 (T(x,y) \ 1) / y = T(x \ (y \ 1),y). [para(4347(a,1),2775(a,1,1)),flip(a)]. given #3579 (H,wt=15): 4359 ((x \ y) * (1 / y)) / y = x \ (y \ 1). [hyper(58,a,3534,a,b,4355,a)]. given #3580 (H,wt=15): 4362 1 / (x \ (y \ (x \ 1))) = (x * y) * x. [hyper(178,a,4349,a)]. given #3581 (H,wt=15): 4365 (x \ (y \ 1)) * y = (x \ y) * (1 / y). [hyper(125,a,4359,a)]. given #3582 (H,wt=16): 4360 x \ (x \ (y \ x)) != z | y \ (x \ 1) = z. [para(4358(a,1),287(a,1,2))]. given #3583 (H,wt=17): 3046 R(x,(y \ (z \ y)) \ 1,u) = R(x,T(z,y),u). [para(2999(a,1),2477(a,1,2,1))]. given #3584 (H,wt=17): 3050 x * (L(T(y,x),z,u) \ 1) = L(y,z,u) \ x. [para(20(a,2),3006(a,1,2,1))]. given #3585 (H,wt=17): 3054 (1 / x) * (T(y,x \ 1) \ 1) = y \ (1 / x). [para(1967(a,1),3006(a,1,2,1))]. given #3586 (H,wt=17): 3057 x \ (x \ T(y,x * x)) = y / T(x * x,y). [hyper(2243,a,3009,a),flip(a)]. given #3587 (H,wt=16): 4368 x \ (x \ L(y,x,x)) = y / T(x * x,y). [para(2952(a,1),3057(a,1,2,2))]. given #3588 (H,wt=15): 4369 x \ ((x \ 1) * y) = y / T(x * x,y). [para(2969(a,1),4368(a,1,2))]. given #3589 (H,wt=13): 4370 x / T(y * y,x) = (y * y) \ x. [hyper(3565,a,4369,a),flip(a)]. given #3590 (H,wt=13): 4371 ((x * x) \ y) \ y = T(x * x,y). [hyper(172,a,4370,a)]. given #3591 (H,wt=13): 4372 x / (y \ (y \ x)) = T(y * y,x). [hyper(58,a,3061,a,b,4371,a)]. given #3592 (H,wt=13): 4373 (x \ (x \ 1)) * y = (x * x) \ y. [hyper(34,a,3060,a,b,4371,a)]. given #3593 (H,wt=13): 4375 T(x * x,y) \ y = x \ (x \ y). [hyper(172,a,4372,a)]. given #3594 (H,wt=13): 4378 (x \ (x \ 1)) \ y = (x * x) * y. [hyper(112,a,4,a(flip),b,4373,a)]. given #3595 (H,wt=13): 4379 (x * (y * y)) \ x = y \ (y \ 1). [hyper(30,a,4345,a,b,4373,a)]. given #3596 (H,wt=13): 4382 x * (y \ (y \ 1)) = y \ (y \ x). [hyper(58,a,3084,a(flip),b,4375,a)]. given #3597 (H,wt=13): 4383 x \ (y \ (y \ x)) = y \ (y \ 1). [hyper(112,a,4375,a(flip),b,3084,a(flip))]. given #3598 (H,wt=13): 4385 (x \ (x \ 1)) \ y = (y * x) * x. [hyper(272,a,3252,a,b,4378,a),flip(a)]. given #3599 (H,wt=13): 4386 (x * (y * y)) \ x = (y * y) \ 1. [hyper(272,a,3080,a,b,4379,a),flip(a)]. given #3600 (H,wt=10): 4396 L(x,y * y,y * y) = x. [hyper(2028,a,4386,a)]. given #3601 (H,wt=13): 4387 (x * (x * y)) \ y = x \ (x \ 1). [para(2956(a,1),4379(a,1,1))]. given #3602 (H,wt=13): 4394 (1 / (x * x)) \ y = (y * x) * x. [para(3009(a,2),4385(a,1,1))]. given #3603 (H,wt=13): 4397 T(x,(y * y) \ 1) = T(x,y * y). [hyper(3597,a,4396,a),flip(a)]. given #3604 (H,wt=12): 4400 T(x,(y * y) \ 1) = L(x,y,y). [hyper(272,a,2952,a(flip),b,4397,a),flip(a)]. given #3605 (H,wt=12): 4401 T(x,y \ (y \ 1)) = L(x,y,y). [para(3080(a,1),4400(a,1,2))]. given #3606 (H,wt=13): 4398 L(x,y * y,y * y) != z | x = z. [para(4396(a,1),45(a,2))]. given #3607 (H,wt=14): 4402 K(x,y \ (y \ 1)) * L(x,y,y) = x. [para(4401(a,1),2658(a,1,2))]. given #3608 (H,wt=12): 4405 K(x,y \ (y \ 1)) = a(x,y,y). [hyper(3810,a,4402,a),flip(a)]. given #3609 (H,wt=15): 4377 T(x \ (x \ 1),y) = T(x * x,y) \ 1. [hyper(215,a,4373,a,b,3006,a)]. given #3610 (H,wt=15): 4381 T(x * x,y) \ y = ((x * x) / y) \ 1. [hyper(272,a,3455,a,b,4375,a),flip(a)]. given #3611 (H,wt=15): 4384 (x * x) \ (y * y) = y * (x \ (x \ y)). [para(4375(a,1),3368(a,1,2)),flip(a)]. given #3612 (H,wt=15): 4408 T((x * x) \ y,y) = T(x * x,y) \ y. [hyper(272,a,2768,a,b,4381,a)]. given #3613 (H,wt=15): 4409 (x * x) \ (y * y) = ((x * x) \ y) * y. [hyper(272,a,3473,a,b,4384,a),flip(a)]. given #3614 (H,wt=15): 4410 x \ (x \ (y * y)) = y * (x \ (x \ y)). [hyper(58,a,3563,a(flip),b,4384,a)]. given #3615 (H,wt=15): 4411 (x * (y * y)) \ 1 = (y * y) \ (x \ 1). [hyper(2288,a,4408,a)]. given #3616 (H,wt=15): 4412 (x * (x * y)) \ 1 = (x * x) \ (y \ 1). [para(2956(a,1),4411(a,1,1))]. given #3617 (H,wt=15): 4413 (x * x) \ ((x \ y) \ 1) = (x * y) \ 1. [para(5(a,1),4412(a,1,1,2)),flip(a)]. given #3618 (H,wt=15): 4415 (x * x) * ((x * y) \ 1) = (x \ y) \ 1. [hyper(127,a,4413,a)]. given #3619 (H,wt=15): 4416 (x \ (x \ y)) \ 1 = (x * x) * (y \ 1). [hyper(114,a,141,a(flip),b,4413,a),flip(a)]. given #3620 (H,wt=16): 4393 x * (y \ (y \ 1)) != z | y \ (y \ x) = z. [para(4383(a,1),230(a,1,2))]. given #3621 (H,wt=16): 4399 x / (y \ (y \ 1)) != z | y * (y * x) = z. [para(4387(a,1),280(a,1,2))]. given #3622 (H,wt=16): 4406 a(x,y \ 1,y \ 1) = K(x,(1 / y) \ y). [para(3653(a,1),4405(a,1,2)),flip(a)]. given #3623 (H,wt=17): 3058 x \ (x \ K(y,x * x)) = 1 / T(x * x,y). [hyper(58,a,2681,a(flip),b,3009,a),flip(a)]. given #3624 (H,wt=16): 4419 x \ (x \ a(x,x,y)) = 1 / T(x * x,y). [para(4210(a,1),3058(a,1,2,2))]. given #3625 (H,wt=16): 4420 x \ (x \ a(x,x,y)) = T(x * x,y) \ 1. [hyper(272,a,3374,a(flip),b,4419,a),flip(a)]. given #3626 (H,wt=17): 3064 a(x \ 1,y,z) \ 1 = 1 / (x \ L(x,z,y)). [hyper(2540,a,3030,a)]. given #3627 (H,wt=15): 4422 1 / (x \ L(x,y,z)) = L(x,y,z) \ x. [hyper(2539,a,3064,a),flip(a)]. given #3628 (H,wt=15): 4423 (L(x,y,z) \ x) \ 1 = x \ L(x,y,z). [hyper(172,a,4422,a)]. given #3629 (H,wt=15): 4425 (L(x,y,z) \ x) \ 1 = a(x \ 1,z,y). [hyper(272,a,1181,a,b,4423,a),flip(a)]. given #3630 (H,wt=17): 3071 (x \ y) / (x * (y / x)) = T(1 / x,x \ y). [para(2831(a,1),3030(a,1,1,2)),flip(a)]. given #3631 (H,wt=15): 4429 (x \ y) / (x * (y / x)) = 1 / T(x,y). [hyper(272,a,3337,a(flip),b,3071,a),flip(a)]. given #3632 (H,wt=17): 3081 T(T(x / y,x) \ z,x \ y) = z * (x \ y). [para(3063(a,2),368(a,1,1,1))]. given #3633 (H,wt=17): 3087 x \ L(T(x,y),y,x) != z | K(x,x * y) = z. [para(596(a,2),2691(a,1,2))]. given #3634 (H,wt=17): 3104 (x * x) * (y / (1 / x)) = x * (x * (y * x)). [hyper(114,a,2966,a(flip),b,13,a(flip))]. given #3635 (H,wt=17): 3108 x * (x * ((x \ 1) \ y)) = (x * x) * (x * y). [hyper(114,a,2967,a(flip),b,13,a(flip)),flip(a)]. given #3636 (H,wt=17): 3115 (x \ 1) * (x \ (x \ y)) = x \ ((x * x) \ y). [para(254(a,1),2969(a,1,2)),flip(a)]. given #3637 (H,wt=17): 3150 x * T(x \ y,z) = y * K(z,(y \ x) \ 1). [hyper(114,a,2650,a(flip),b,1036,a(flip)),flip(a)]. given #3638 (H,wt=13): 4431 K(x,(y \ z) \ 1) = K(x,z \ y). [hyper(29,a,3662,a(flip),b,3150,a(flip)),flip(a)]. given #3639 (H,wt=12): 4442 L(x,K(y,z \ u),u \ z) = x. [para(4431(a,1),3399(a,1,2))]. given #3640 (H,wt=10): 4444 L(x,K(y,z),z \ y) = x. [para(3404(a,1),4442(a,1,2))]. given #3641 (H,wt=13): 4434 K(x,1 / (y \ z)) = K(x,z \ y). [hyper(58,a,2369,a,b,4431,a)]. given #3642 (H,wt=13): 4437 K(x,(y * z) \ y) = K(x,z \ 1). [para(4(a,1),4431(a,1,2,1)),flip(a)]. given #3643 (H,wt=13): 4439 K(x,y \ (y / z)) = K(x,z \ 1). [para(74(a,1),4431(a,1,2,1)),flip(a)]. given #3644 (H,wt=13): 4446 K(x,(y \ z) \ z) = K(x,T(y,z)). [para(3038(a,2),4434(a,1,2)),flip(a)]. given #3645 (H,wt=11): 4454 K(x,(y \ x) \ x) = K(x,y). [hyper(272,a,2887,a(flip),b,4446,a),flip(a)]. given #3646 (H,wt=11): 4457 K(x,x / y) = K(x,y \ x). [para(74(a,1),4454(a,1,2,1)),flip(a)]. given #3647 (H,wt=13): 4447 K(x,T(y / z,y)) = K(x,z \ y). [para(3063(a,2),4434(a,1,2))]. given #3648 (H,wt=13): 4451 K(x,(y \ z) / z) = K(x,y \ 1). [para(3308(a,2),4437(a,1,2))]. given #3649 (H,wt=13): 4452 K(x,(y / z) \ 1) = K(x,z / y). [para(3309(a,1),4437(a,1,2)),flip(a)]. given #3650 (H,wt=13): 4455 K(x,T(y,y \ z)) = K(x,T(y,z)). [para(99(a,2),4446(a,1,2))]. given #3651 (H,wt=13): 4456 K(x,T(y \ z,z)) = K(x,z / y). [para(2826(a,1),4446(a,1,2)),flip(a)]. given #3652 (H,wt=15): 4432 K(x,(y \ z) \ 1) = x \ T(x,z \ y). [hyper(272,a,2672,a(flip),b,4431,a),flip(a)]. given #3653 (H,wt=13): 4459 T(x,(y \ z) \ 1) = T(x,z \ y). [hyper(2736,a,4432,a)]. given #3654 (H,wt=13): 4464 T(x,(y * z) \ y) = T(x,z \ 1). [para(4(a,1),4459(a,1,2,1)),flip(a)]. given #3655 (H,wt=13): 4467 T(x,y \ (y / z)) = T(x,z \ 1). [para(74(a,1),4459(a,1,2,1)),flip(a)]. given #3656 (H,wt=13): 4478 T(x,(y / z) \ 1) = T(x,z / y). [para(3309(a,1),4464(a,1,2)),flip(a)]. given #3657 (H,wt=13): 4479 T(x,y / (z * y)) = T(x,z \ 1). [para(3305(a,2),4467(a,1,2))]. given #3658 (H,wt=13): 4482 T(x,T(y \ z,z)) = T(x,z / y). [para(2768(a,2),4478(a,1,2))]. given #3659 (H,wt=13): 4483 T(x,y / (y / z)) = T(x,T(z,y)). [para(2909(a,2),4478(a,1,2)),flip(a)]. given #3660 (H,wt=13): 4486 T(x,T(y,y \ z)) = T(x,T(y,z)). [para(2766(a,2),4483(a,1,2))]. given #3661 (H,wt=13): 4487 T(x,T(y / z,y)) = T(x,z \ y). [para(557(a,1),4486(a,1,2)),flip(a)]. given #3662 (H,wt=15): 4435 T(x,(y \ z) \ 1) = x * K(x,z \ y). [hyper(114,a,4431,a(flip),b,2672,a(flip)),flip(a)]. given #3663 (H,wt=15): 4448 K(x,T(y \ 1,z)) = K(x,z \ (y \ z)). [para(3426(a,1),4434(a,1,2))]. given #3664 (H,wt=15): 4449 K(x,T(T(y,z) \ 1,z)) = K(x,y \ 1). [para(2822(a,2),4437(a,1,2))]. given #3665 (H,wt=15): 4466 T(x,T(y,z) \ 1) = T(x,(y * z) \ z). [para(17(a,2),4459(a,1,2,1))]. given #3666 (H,wt=15): 4476 T(x * y,y \ 1) = ((x * y) \ x) \ x. [hyper(570,a,4464,a),flip(a)]. given #3667 (H,wt=15): 4489 K(x,(y * z) \ z) = K(x,z \ (y \ z)). [para(2258(a,1),4448(a,1,2))]. given #3668 (H,wt=15): 4490 K(x,T(y \ 1,z)) = K(x,T(y,z) \ 1). [para(2999(a,2),4448(a,2,2))]. given #3669 (H,wt=15): 4491 T(x,T(y \ 1,z)) = T(x,T(y,z) \ 1). [para(2258(a,2),4466(a,2,2)),flip(a)]. given #3670 (H,wt=16): 4460 K(x,(y \ z) \ 1) != u | K(x,z \ y) = u. [para(4432(a,2),2691(a,1))]. given #3671 (H,wt=16): 4488 T(x,(y \ z) \ 1) != u | T(x,z \ y) = u. [para(4435(a,2),2737(a,1))]. given #3672 (H,wt=17): 3157 (x \ y) * (K(x,x \ y) * z) = (y / x) * z. [para(2775(a,1),2661(a,2,1))]. given #3673 (H,wt=17): 3158 (x / (x / y)) * z = y * (K(y \ x,y) * z). [para(2766(a,1),2661(a,2,1)),flip(a)]. given #3674 (H,wt=17): 3165 (x * T(x \ y,z)) / y = K((x / y) \ 1,z). [hyper(58,a,1081,a(flip),b,2671,a)]. given #3675 (H,wt=17): 3169 K((x / y) \ 1,z) * y = x * T(x \ y,z). [para(2671(a,1),1077(a,1,1))]. given #3676 (H,wt=17): 3173 x \ (((x \ y) \ y) * z) = K(x,x \ y) * z. [hyper(112,a,270,a(flip),b,2687,a)]. given #3677 (H,wt=15): 4503 ((x \ y) \ y) * x = x * ((x \ y) \ y). [hyper(114,a,2800,a,b,3173,a),flip(a)]. given #3678 (H,wt=17): 3179 (K(x,y) * z) / (x \ 1) = T(T(x,y) * z,x). [para(2687(a,1),680(a,1,1)),flip(a)]. given #3679 (H,wt=17): 3181 x * (K(y,x) * K(x,z)) = T(x,z) * K(y,x). [para(1491(a,1),2687(a,1,2))]. given #3680 (H,wt=17): 3186 K(x,x \ y) * ((x \ y) * z) = (y / x) * z. [para(2775(a,1),2694(a,2,1))]. given #3681 (H,wt=15): 4504 (x / y) \ K(y,y \ x) = (y \ x) \ 1. [hyper(340,a,3186,a)]. given #3682 (H,wt=17): 3194 (x \ y) * T((x \ y) \ y,z) = K(x,z) * y. [hyper(815,a,2749,a)]. given #3683 (H,wt=17): 3198 (K(x,y) * z) / T(x,y) = T(x \ z,T(x,y)). [hyper(113,a,2749,a(flip),b,2778,a)]. given #3684 (H,wt=17): 3205 T(x,y) * (z * (x \ 1)) = K(x,y) * T(z,x). [para(2789(a,1),2749(a,1,2))]. given #3685 (H,wt=17): 3206 T(x,y) * (T(z,x) \ 1) = K(x,y) * (z \ x). [para(2999(a,2),2749(a,1,2))]. given #3686 (H,wt=17): 3210 K(x,y) \ (z * T(x,y)) = x * T(z,T(x,y)). [hyper(112,a,98,a(flip),b,2750,a)]. given #3687 (H,wt=17): 3221 T(x,y) * K(z,T(x,y)) = T(x * K(z,x),y). [hyper(2761,a,2758,a)]. given #3688 (H,wt=17): 3226 (x * y) * T(y,x \ 1) = (y / (x \ 1)) * y. [para(2779(a,1),1234(a,1,1)),flip(a)]. given #3689 (H,wt=17): 3228 T(x,y) \ (y * T(x,z)) = K(T(x,y),z) * y. [hyper(112,a,2786,a(flip),b,2687,a)]. given #3690 (H,wt=17): 3262 ((x * x) \ y) / (y / x) = 1 / T(x,y / x). [hyper(113,a,3249,a(flip),b,2793,a)]. given #3691 (H,wt=17): 3274 ((1 / x) \ (x * x)) * y = x * ((y * x) * x). [para(3251(a,1),108(a,1,2,1)),flip(a)]. given #3692 (H,wt=15): 4508 (x * (x * x)) * y = x * ((y * x) * x). [para(3367(a,1),3274(a,1,1))]. given #3693 (H,wt=15): 4509 (x * (x * x)) \ (x * ((y * x) * x)) = y. [hyper(117,a,4508,a)]. given #3694 (H,wt=15): 4510 (x * ((x * x) * y)) / y = x * (x * x). [hyper(113,a,3280,a(flip),b,4508,a)]. given #3695 (H,wt=17): 3276 T((x \ y) * (x \ y),x) = x \ (y * (x \ y)). [hyper(827,a,3252,a)]. given #3696 (H,wt=17): 3286 (x * x) / ((y * x) * x) = T(1 / y,x * x). [para(3252(a,2),3031(a,2,2)),flip(a)]. given #3697 (H,wt=16): 4515 (x * x) / ((y * x) * x) = 1 / L(y,x,x). [hyper(272,a,3789,a(flip),b,3286,a),flip(a)]. given #3698 (H,wt=17): 3340 ((x \ 1) * y) * (x \ 1) = x \ (y * (1 / x)). [para(3127(a,1),676(a,1,1))]. given #3699 (H,wt=15): 4517 ((x \ 1) * y) * (x \ 1) = (x \ y) / x. [hyper(272,a,3530,a(flip),b,3340,a),flip(a)]. given #3700 (H,wt=17): 3341 (1 / (x * (1 / y))) * y = y / ((y \ 1) * x). [para(3127(a,1),2242(a,1,2)),flip(a)]. given #3701 (H,wt=17): 3344 (1 / ((x \ 1) * y)) * x = x / (y * (1 / x)). [para(3127(a,1),2793(a,1,1,2))]. given #3702 (H,wt=17): 3345 x * ((y * (1 / x)) \ 1) = ((x \ 1) * y) \ x. [para(3127(a,1),2935(a,1,1)),flip(a)]. given #3703 (H,wt=17): 3349 (1 / (x \ y)) / (1 / x) = (x \ 1) \ (x / y). [hyper(112,a,3030,a(flip),b,3128,a(flip)),flip(a)]. given #3704 (H,wt=17): 3363 x / (L(x,y,z) \ 1) = (1 / L(x,y,z)) \ x. [hyper(112,a,156,a(flip),b,3243,a(flip)),flip(a)]. given #3705 (H,wt=17): 3407 K(x,y) * ((x \ 1) * z) = (x \ K(x,y)) * z. [para(3405(a,1),1915(a,1,2)),flip(a)]. given #3706 (H,wt=17): 3409 x * (K(y,x \ 1) * z) = T(x,x * y) * z. [para(3397(a,2),2687(a,1,2,1))]. given #3707 (H,wt=17): 3419 (x * x) * ((1 / T(x,y)) * z) = T(x,y) * z. [para(3155(a,1),3352(a,1,1))]. given #3708 (H,wt=17): 3431 x * ((1 / y) * (1 / y)) = (x / y) * (1 / y). [para(74(a,1),3370(a,1,1,2)),flip(a)]. given #3709 (H,wt=17): 3444 T(x \ 1,x \ y) \ z = (T(x,y) \ 1) \ z. [hyper(56,a,3389,a)]. given #3710 (H,wt=17): 3453 L(x,y,z) * (1 / x) = (x \ 1) * L(x,y,z). [hyper(114,a,3451,a(flip),b,17,a(flip))]. given #3711 (H,wt=17): 3460 T(T(x * (y * y),z),x) = T((x * y) * y,z). [para(3439(a,1),2777(a,1,1,1))]. given #3712 (H,wt=17): 3476 x \ (x \ T(x * x,y)) = K(y,x * x) \ 1. [para(2670(a,2),3455(a,1,1)),flip(a)]. given #3713 (H,wt=16): 4526 x \ (x \ T(x * x,y)) = a(x,x,y) \ 1. [para(4210(a,1),3476(a,2,1))]. given #3714 (H,wt=11): 4527 a(x,x,y) \ 1 = a(x,x,y). [hyper(58,a,4224,a(flip),b,4526,a),flip(a)]. given #3715 (H,wt=17): 3484 1 / T(T(x,y) \ 1,y) = ((1 / x) \ y) / y. [para(3463(a,1),2908(a,1,2,1))]. given #3716 (H,wt=15): 4528 ((1 / x) \ y) / y = 1 / ((x \ y) / y). [para(3048(a,1),3484(a,1,2)),flip(a)]. given #3717 (H,wt=15): 4529 1 / ((x \ y) / y) = (y * (1 / x)) \ y. [hyper(3312,a,4528,a),flip(a)]. given #3718 (H,wt=15): 4530 1 / ((x * y) \ x) = (x * (1 / y)) \ x. [para(3308(a,1),4529(a,1,2))]. given #3719 (H,wt=17): 3494 T(1 / (x * (x / y)),x) = ((y / x) \ x) \ 1. [para(3322(a,1),3469(a,1,1,2))]. given #3720 (H,wt=17): 3504 (x * x) * (x * (y / x)) = ((x \ 1) \ y) * x. [para(3480(a,1),3252(a,1,1)),flip(a)]. given #3721 (H,wt=17): 3508 (1 / ((1 / x) \ y)) \ x = x / ((y * x) \ 1). [para(368(a,1),3482(a,1,2,1)),flip(a)]. given #3722 (H,wt=17): 3512 (((1 / x) \ y) \ 1) \ x = x / (1 / (y * x)). [para(2773(a,1),3483(a,1,1,1))]. given #3723 (H,wt=17): 3529 (x * x) * (T(y,x) \ 1) = (x \ 1) \ (y \ x). [para(2999(a,2),3498(a,1,2))]. given #3724 (H,wt=17): 3540 x * ((T(y,x) \ 1) / x) = (y \ x) * (1 / x). [para(2999(a,2),3499(a,1,2,1))]. given #3725 (H,wt=17): 3571 (x * x) \ (y * (1 / x)) = (x \ (x \ y)) / x. [hyper(113,a,3534,a(flip),b,3250,a),flip(a)]. given #3726 (H,wt=17): 3573 x * (x / (y * (1 / x))) = x / (x \ (x \ y)). [para(3534(a,1),3322(a,1,2)),flip(a)]. given #3727 (H,wt=17): 3575 (1 / x) * (y / (1 / x)) = x * (y * (1 / x)). [hyper(533,a,3541,a),flip(a)]. given #3728 (H,wt=17): 3580 (x \ 1) * ((x * y) * y) = x * ((y * y) / x). [para(3252(a,2),3541(a,1,2))]. given #3729 (H,wt=17): 3581 ((x * (y \ 1)) / y) / y = y \ (y \ (x / y)). [hyper(112,a,1137,a(flip),b,3542,a),flip(a)]. given #3730 (H,wt=17): 3590 (x \ 1) * (y / (x \ 1)) = (x \ 1) \ (y / x). [para(72(a,1),3569(a,1,2,2)),flip(a)]. given #3731 (H,wt=17): 3592 (x \ 1) * ((x \ 1) * y) = (y * (x \ 1)) / x. [para(72(a,1),3574(a,1,2)),flip(a)]. given #3732 (H,wt=15): 4536 (x * (y \ 1)) / y = x * (y \ (1 / y)). [hyper(58,a,3027,a(flip),b,3592,a),flip(a)]. given #3733 (H,wt=17): 3636 (1 / x) \ ((x * x) * y) = x * (x * (x * y)). [hyper(114,a,3559,a(flip),b,1998,a),flip(a)]. given #3734 (H,wt=17): 3643 (x * x) * T(1 / x,y) = x * K(y,x \ 1). [hyper(114,a,2689,a(flip),b,3353,a)]. given #3735 (H,wt=15): 4545 (x * x) * T(1 / x,y) = T(x,x * y). [hyper(272,a,3398,a(flip),b,3643,a),flip(a)]. given #3736 (H,wt=17): 3647 T(x,y * (z * K(u,u \ 1))) = T(x,y * z). [para(2115(a,1),3644(a,1,2))]. given #3737 (H,wt=17): 3661 (x * (y \ z)) * K(y,y \ z) = x * (z / y). [para(2747(a,1),2855(a,2,2))]. given #3738 (H,wt=17): 3672 K(x,y) \ (z * T(x,y)) = T(z * x,K(x,y)). [hyper(359,a,xx,b,3664,a),flip(a)]. given #3739 (H,wt=15): 4551 T(x * y,K(y,z)) = y * T(x,T(y,z)). [hyper(58,a,3210,a(flip),b,3672,a),flip(a)]. given #3740 (H,wt=17): 3687 (K(x,y) * z) / T(x,y) = T(z,K(x,y)) / x. [hyper(113,a,2778,a(flip),b,3668,a)]. given #3741 (H,wt=15): 4553 T(x,K(y,z)) / y = T(y \ x,T(y,z)). [hyper(58,a,3198,a(flip),b,3687,a),flip(a)]. given #3742 (H,wt=17): 3696 (x / y) * T((x / y) \ x,z) = x * K(y,z). [hyper(1340,a,3688,a)]. given #3743 (H,wt=17): 3702 (x * ((y \ z) \ z)) / y = x * K(y,y \ z). [para(99(a,1),3688(a,1,1,2))]. given #3744 (H,wt=17): 3703 T(x,T(y,z)) * K(y,z) = (T(y,z) * x) / y. [para(2778(a,1),3688(a,1,1)),flip(a)]. given #3745 (H,wt=17): 3706 (x / (y \ z)) * K(z / y,y) = x / (z / y). [para(100(a,1),3697(a,1,1,2))]. given #3746 (H,wt=17): 3714 (x * (y * K(z,y))) * z = (x * y) * T(z,y). [para(2855(a,1),3699(a,1,1))]. given #3747 (H,wt=17): 3723 ((x \ T(y,x)) / x) / x = x \ (x \ (y / x)). [hyper(112,a,2932,a(flip),b,3542,a),flip(a)]. given #3748 (H,wt=17): 3725 x * ((y / x) * (y / x)) = T(y * (x \ y),x). [para(2951(a,1),3439(a,1,1)),flip(a)]. given #3749 (H,wt=13): 4556 T(x * (y \ x),y) = (x / y) * x. [hyper(58,a,2953,a(flip),b,3725,a),flip(a)]. given #3750 (H,wt=15): 4557 (x * (y \ x)) * y = y * ((x / y) * x). [hyper(114,a,4556,a(flip),b,17,a(flip)),flip(a)]. given #3751 (H,wt=17): 3730 T(x,y) * (z * K(x,y)) = x * T(z,K(x,y)). [hyper(114,a,2982,a(flip),b,2748,a),flip(a)]. given #3752 (H,wt=17): 3734 T(T(x,y \ 1) \ 1,y) = y * ((x * y) \ 1). [hyper(2286,a,3008,a)]. given #3753 (H,wt=17): 3747 T(x * (x * (x * y)),x) = ((x * x) * y) * x. [para(3523(a,1),3144(a,2,1))]. given #3754 (H,wt=17): 3766 ((x \ 1) \ 1) * T(y,x \ 1) = y / (1 / x). [para(2826(a,1),3227(a,1,2)),flip(a)]. given #3755 (H,wt=17): 3772 x * ((y \ (x * x)) \ 1) = ((y / x) \ x) \ x. [para(3769(a,1),2935(a,1,1)),flip(a)]. given #3756 (H,wt=15): 4563 (x \ (y * y)) \ 1 = y \ ((x \ y) \ 1). [hyper(112,a,3464,a(flip),b,3772,a),flip(a)]. given #3757 (H,wt=17): 3781 ((x * x) * y) / (x * y) = T(T(x,y),x * y). [hyper(113,a,3777,a(flip),b,2778,a)]. given #3758 (H,wt=15): 4565 T(T(x,y),x * y) != z | R(x,x,y) = z. [para(3781(a,1),457(a,1))]. given #3759 (H,wt=12): 4566 T(x * y,y) / x = R(y,y,x). [hyper(4565,a,4036,a(flip)),flip(a)]. given #3760 (H,wt=17): 3803 L(T(x \ 1,y),z,z) = T(L(x,z,z) \ 1,y). [para(3798(a,1),20(a,2,1))]. given #3761 (H,wt=17): 3819 K(x \ 1,x * (y * x)) = x * T(1 / x,y). [para(3077(a,1),3488(a,2,2))]. given #3762 (H,wt=17): 3827 (1 / x) * ((y * y) / x) = x \ ((y * y) / x). [hyper(526,a,3531,a)]. given #3763 (H,wt=17): 3839 T(x * (1 / y),y \ 1) = ((y \ 1) \ 1) \ x. [para(2826(a,1),3651(a,1,1,2))]. given #3764 (H,wt=17): 3840 x * K(y,z \ x) = z * ((y * (z \ x)) / y). [hyper(485,a,3660,a)]. given #3765 (H,wt=17): 3844 x \ T(x * y,z) = y * K((x \ 1) \ y,z). [hyper(58,a,805,a(flip),b,3671,a)]. given #3766 (H,wt=17): 3907 K(x,y) * (z \ K(x,y)) = T(z,K(x,y)) \ 1. [hyper(29,a,3006,a,b,3893,a),flip(a)]. given #3767 (H,wt=17): 3945 K(x,y) * (x \ (x \ z)) = x \ (T(x,y) \ z). [hyper(272,a,1017,a(flip),b,3886,a),flip(a)]. given #3768 (H,wt=17): 3950 K(x \ y,x) * ((x \ y) \ z) = (y / x) \ z. [para(2775(a,1),3886(a,2,1))]. given #3769 (H,wt=17): 3951 K(x,y \ 1) * (y \ z) = T(y,x * y) \ z. [para(3391(a,2),3886(a,1,1))]. given #3770 (H,wt=17): 3952 K(x,y \ 1) * (y \ z) = T(y,y * x) \ z. [para(3397(a,2),3886(a,1,1))]. given #3771 (H,wt=17): 3956 x * (((x \ y) \ y) \ z) = K(x,x \ y) * z. [para(569(a,1),3888(a,1,2)),flip(a)]. given #3772 (H,wt=15): 4578 ((x \ y) \ y) \ (x \ y) = x \ (y / x). [hyper(112,a,2827,a(flip),b,3956,a),flip(a)]. given #3773 (H,wt=15): 4580 (x \ (y \ x)) * (y \ x) = y \ (x / y). [hyper(3303,a,4578,a)]. given #3774 (H,wt=15): 4581 (T(x,y) \ 1) * (x \ y) = x \ (y / x). [para(2999(a,2),4580(a,1,1))]. given #3775 (H,wt=17): 3957 K(x \ y,x) * ((y / x) * z) = (x \ y) * z. [para(2775(a,1),3888(a,1,2,1))]. given #3776 (H,wt=17): 3971 x \ (K(y,x \ 1) * z) = T(x,x * y) \ z. [para(3397(a,2),3908(a,1,2,1))]. given #3777 (H,wt=17): 3973 (K(x,y) * T(y,z)) * K(z,y) = y * K(x,y). [hyper(272,a,1884,a(flip),b,3913,a),flip(a)]. given #3778 (H,wt=16): 4585 L(x,y,x) * K(x * y,x) = x * K(y,x). [para(3595(a,1),3973(a,1,1))]. given #3779 (H,wt=16): 4586 (x * K(y,x)) \ L(x,y,x) = K(x,x * y). [para(4585(a,1),3899(a,1,1))]. given #3780 (H,wt=17): 3974 T(x * T(y,z),K(z,y)) = K(y,z) * (x * y). [hyper(215,a,3913,a,b,3880,a)]. given #3781 (H,wt=17): 3991 (1 / x) \ (y / T(x,z)) = T(y * K(x,z),x). [hyper(112,a,3934,a(flip),b,2780,a)]. given #3782 (H,wt=17): 3993 (x \ y) * (x \ K(x,z)) = x \ (y / T(x,z)). [para(3934(a,1),1903(a,1,2)),flip(a)]. given #3783 (H,wt=17): 3996 ((1 / x) * y) * K(x,z) = T(y,x) / T(x,z). [hyper(113,a,365,a,b,3938,a),flip(a)]. given #3784 (H,wt=17): 3997 ((x * y) \ x) * K(x,z) = (y \ x) / T(x,z). [hyper(113,a,3299,a(flip),b,3938,a),flip(a)]. given #3785 (H,wt=17): 4003 (x \ y) * ((y / x) \ z) = K(x,x \ y) * z. [para(2775(a,1),3953(a,1,2,1))]. given #3786 (H,wt=17): 4024 x / ((x \ 1) * (y \ 1)) = ((1 / y) / x) \ x. [para(3733(a,1),3486(a,1,2))]. given #3787 (H,wt=17): 4025 (x \ 1) * (T(y,x) \ 1) = (x / (y \ 1)) \ 1. [para(3509(a,1),3733(a,1,1)),flip(a)]. given #3788 (H,wt=17): 4030 (x \ (y / x)) * (1 / x) = (x * x) \ (x \ y). [para(684(a,1),3744(a,1,1))]. given #3789 (H,wt=17): 4031 (x \ (x \ y)) * (1 / x) = (x * x) \ (y / x). [para(2835(a,1),3744(a,1,1))]. given #3790 (H,wt=17): 4035 T(x / T(y,y \ 1),y) = T(x,y) * (1 / y). [para(3765(a,2),3339(a,1,1))]. given #3791 (H,wt=17): 4039 ((x * y) * (x * y)) / y = x * T(x * y,y). [para(6(a,1),4038(a,1,1)),flip(a)]. given #3792 (H,wt=17): 4041 (x * x) \ ((y \ 1) \ x) = (y \ (x * x)) \ x. [para(3290(a,1),3784(a,1,1)),flip(a)]. given #3793 (H,wt=17): 4046 ((x \ 1) * (x \ 1)) * y = (x \ 1) * (x \ y). [para(684(a,2),3787(a,1,1))]. given #3794 (H,wt=17): 4060 (x \ 1) * (y * (1 / x)) = (x \ y) * (1 / x). [hyper(114,a,3499,a(flip),b,3835,a)]. given #3795 (H,wt=17): 4067 x * (y * T(x,x \ 1)) = (x * y) / (x \ 1). [hyper(114,a,3878,a(flip),b,2928,a)]. given #3796 (H,wt=17): 4068 (x * T(y,y \ 1)) * y = (1 / y) \ (y * x). [para(3878(a,1),1972(a,1,1))]. given #3797 (H,wt=17): 4069 K(x,y / (z \ 1)) * (z \ T(z * y,x)) = y. [para(805(a,1),3884(a,1,2))]. given #3798 (H,wt=17): 4082 (T(x,y) \ 1) * (T(x,y) \ 1) = x \ (1 / x). [hyper(58,a,684,a,b,3970,a)]. given #3799 (H,wt=17): 4087 (x * (((1 / y) * x) * y)) / y = (x / y) * x. [para(365(a,1),4083(a,1,1,2))]. given #3800 (H,wt=17): 4091 T(x,y) * K(y,y * x) = T(y * x,y) / y. [hyper(2269,a,3998,a),flip(a)]. given #3801 (H,wt=14): 4593 T(x,y) * K(y,y * x) = L(x,y,y). [hyper(272,a,3136,a(flip),b,4091,a),flip(a)]. given #3802 (H,wt=17): 4099 (x \ 1) * ((x \ y) \ 1) = T(y \ 1,x \ 1). [hyper(114,a,4021,a(flip),b,2789,a)]. given #3803 (H,wt=15): 4595 T(x \ y,y \ 1) = (y \ T(x,y)) \ 1. [hyper(215,a,3042,a(flip),b,4099,a)]. given #3804 (H,wt=17): 4103 K(x,y) * ((z \ 1) \ 1) = (z \ K(x,y)) \ 1. [para(2879(a,1),4021(a,1,1))]. given #3805 (H,wt=17): 4130 x * ((x \ 1) \ (y \ 1)) = ((x \ y) \ 1) * x. [hyper(114,a,4105,a(flip),b,17,a(flip))]. given #3806 (H,wt=17): 4152 (x \ 1) * (((x \ 1) * y) \ 1) = T(y \ 1,x). [para(4126(a,1),3127(a,1,1)),flip(a)]. given #3807 (H,wt=17): 4163 x \ (((1 / x) * y) \ 1) = T(y \ 1,x \ 1). [hyper(112,a,4133,a(flip),b,2779,a)]. given #3808 (H,wt=17): 4171 ((x \ y) \ 1) \ (1 / x) = 1 / ((x / y) * x). [para(3069(a,1),4149(a,1,2)),flip(a)]. given #3809 (H,wt=17): 4180 ((x * (1 / y)) \ 1) * x = K(x,x \ 1) * y. [para(4162(a,1),1842(a,1,1))]. given #3810 (H,wt=17): 4188 ((x \ 1) * (1 / y)) \ y = y / (y \ (1 / x)). [para(4173(a,1),3510(a,1,1))]. given #3811 (H,wt=17): 4189 (x \ 1) * (1 / (x * y)) = 1 / (x * (y * x)). [para(3589(a,1),4173(a,1,2)),flip(a)]. given #3812 (H,wt=17): 4194 x \ (x \ ((y \ 1) \ 1)) = (1 / (x / y)) / x. [para(4185(a,1),3534(a,1,1)),flip(a)]. given #3813 (H,wt=17): 4199 (x \ (x \ (x / y))) / x = x \ (1 / (x * y)). [hyper(112,a,4193,a(flip),b,3499,a),flip(a)]. given #3814 (H,wt=17): 4200 x \ (x / T(y,x \ 1)) = T(1 / y,x \ 1). [hyper(112,a,4195,a,b,2771,a)]. given #3815 (H,wt=17): 4202 ((x * (y * x)) \ 1) \ 1 = ((x * y) \ 1) \ x. [para(3589(a,1),4197(a,1,1,1))]. given #3816 (H,wt=17): 4203 T((x / (1 / y)) \ 1,y) = (y / (x \ 1)) \ 1. [para(4201(a,1),3424(a,1,1))]. given #3817 (H,wt=17): 4226 x \ (x \ T(x * x,y)) != z | a(x,x,y) = z. [para(4222(a,2),287(a,1,2))]. given #3818 (H,wt=17): 4286 (x \ 1) * (y \ (1 / y)) = x \ (y \ (1 / y)). [hyper(114,a,4285,a(flip),b,2013,a)]. given #3819 (H,wt=17): 4287 (1 / x) \ (y \ (1 / y)) = x * (y \ (1 / y)). [hyper(114,a,4285,a(flip),b,1998,a),flip(a)]. given #3820 (H,wt=17): 4288 ((x \ (1 / x)) \ y) \ 1 = y \ (x \ (1 / x)). [hyper(112,a,4285,a(flip),b,2017,a(flip)),flip(a)]. given #3821 (H,wt=17): 4293 K(x,y) * ((x * z) * x) = (T(x,y) * z) * x. [hyper(58,a,3176,a,b,2641,a)]. given #3822 (H,wt=17): 4294 T(x,y) * (z / (x \ 1)) = (T(x,y) * z) * x. [hyper(58,a,694,a(flip),b,2641,a)]. given #3823 (H,wt=17): 4295 K(x,y) * T(x * z,x) = T(T(x,y) * z,x). [hyper(215,a,2641,a(flip),b,2687,a),flip(a)]. given #3824 (H,wt=17): 4301 x \ ((y * x) * K(x,z)) = T(y,x) * K(x,z). [para(17(a,2),4298(a,2,1))]. given #3825 (H,wt=15): 4609 x \ (y * T(x,z)) = T(y,x) * K(x,z). [para(3664(a,1),4301(a,1,2))]. given #3826 (H,wt=15): 4611 T(x * K(y,z),y) = T(x,y) * K(y,z). [hyper(58,a,3700,a,b,4609,a)]. given #3827 (H,wt=17): 4312 (x * (y * K(x,z))) * x = (x * y) * T(x,z). [para(4303(a,1),3699(a,1,1))]. given #3828 (H,wt=17): 4322 (x * T(x * y,y)) * y = (x * y) * (x * y). [hyper(29,a,3159,a(flip),b,2815,a(flip)),flip(a)]. given #3829 (H,wt=17): 4338 T(x \ 1,y) * (1 / x) = T(1 / x,y) / x. [hyper(612,a,2929,a)]. given #3830 (H,wt=17): 4354 (x / (y \ 1)) \ (y \ 1) = y \ ((y * x) \ 1). [para(2772(a,1),4347(a,1,2,1)),flip(a)]. given #3831 (H,wt=17): 4367 T(T(x,y \ 1) \ 1,y) = (x \ (1 / y)) * y. [para(3054(a,1),365(a,2,1))]. given #3832 (H,wt=13): 4621 T(x \ (1 / y),y) = (x * y) \ 1. [hyper(215,a,4367,a(flip),b,3734,a(flip))]. given #3833 (H,wt=13): 4623 ((x * y) * y) \ y = x \ (1 / y). [hyper(2904,a,4621,a)]. given #3834 (H,wt=13): 4624 T((x * y) \ 1,y) = x \ (1 / y). [hyper(2782,a,4621,a)]. given #3835 (H,wt=13): 4630 ((x * x) * y) \ x = y \ (1 / x). [hyper(58,a,3281,a(flip),b,4623,a)]. given #3836 (H,wt=13): 4631 ((x * x) \ y) \ (1 / x) = y \ x. [hyper(298,a,4630,a),flip(a)]. given #3837 (H,wt=13): 4632 x / (y \ (1 / x)) = (x * x) * y. [hyper(178,a,4630,a)]. given #3838 (H,wt=13): 4635 (x * x) * ((1 / x) / y) = x / y. [para(74(a,1),4632(a,1,2)),flip(a)]. given #3839 (H,wt=13): 4638 (x * x) \ (x / y) = (1 / x) / y. [hyper(117,a,4635,a)]. given #3840 (H,wt=13): 4641 (1 / x) / T(y,x) = (1 / y) / x. [hyper(58,a,3782,a(flip),b,4638,a)]. given #3841 (H,wt=15): 4620 (x \ (1 / y)) * y = y * ((x * y) \ 1). [hyper(58,a,3734,a(flip),b,4367,a),flip(a)]. given #3842 (H,wt=15): 4629 ((x * y) \ 1) * y = y * (x \ (1 / y)). [para(4621(a,1),2778(a,1,1))]. given #3843 (H,wt=15): 4634 x / ((1 / y) \ (1 / x)) = (x * x) / y. [hyper(272,a,3329,a(flip),b,4632,a),flip(a)]. given #3844 (H,wt=15): 4639 (x \ 1) * (x / y) = x * ((1 / x) / y). [hyper(114,a,4635,a(flip),b,3523,a)]. given #3845 (H,wt=15): 4642 (1 / x) \ ((1 / x) / y) = x \ (x / y). [hyper(112,a,4638,a(flip),b,3261,a)]. given #3846 (H,wt=15): 4645 (1 / (x / y)) / y = (1 / y) / (y \ x). [para(100(a,1),4641(a,1,2)),flip(a)]. given #3847 (H,wt=15): 4646 (1 / (x \ y)) / x = (1 / x) / (y / x). [para(2775(a,1),4641(a,1,2)),flip(a)]. given #3848 (H,wt=15): 4648 (x \ (y \ 1)) / y = (y * x) \ (1 / y). [hyper(113,a,4346,a(flip),b,4620,a)]. given #3849 (H,wt=15): 4650 x / (1 / (x * (y \ 1))) = (x * x) / y. [para(4096(a,2),4634(a,1,2))]. given #3850 (H,wt=15): 4652 (1 / x) / (y / x) = (1 / x) * (x / y). [hyper(58,a,3065,a(flip),b,4646,a),flip(a)]. given #3851 (H,wt=15): 4653 (x * x) / (1 / y) = x / (1 / (x * y)). [para(74(a,1),4650(a,1,2,2,2)),flip(a)]. given #3852 (H,wt=16): 4626 T(x,y) != (z * y) \ 1 | z \ (1 / y) = x. [para(4621(a,1),44(a,1)),flip(a)]. given #3853 (H,wt=16): 4636 ((x * x) * y) \ x != z | y \ (1 / x) = z. [para(4632(a,1),290(a,1,1))]. given #3854 (H,wt=16): 4654 L((x * y) * y,x,x) = y / (1 / (y * x)). [hyper(58,a,3287,a,b,4653,a)]. given #3855 (H,wt=17): 4374 T((x \ y) * (x \ y),y) = (x / (x \ y)) \ y. [para(3264(a,1),4371(a,1,1)),flip(a)]. given #3856 (H,wt=17): 4376 T(x * x,x * (x * y)) = (x * (x * y)) / y. [para(62(a,1),4372(a,1,2)),flip(a)]. given #3857 (H,wt=15): 4655 T(x * x,x * (x * y)) = T(x * x,y). [hyper(272,a,3023,a(flip),b,4376,a),flip(a)]. given #3858 (H,wt=15): 4656 T(x * x,x \ y) = T(x * x,x * y). [para(5(a,1),4655(a,1,2,2)),flip(a)]. given #3859 (H,wt=17): 4388 (x / y) \ ((x / y) \ 1) = ((x / y) * x) \ y. [para(2953(a,1),4379(a,1,1)),flip(a)]. given #3860 (H,wt=17): 4389 (x \ y) \ ((x \ y) \ 1) = ((y / x) * y) \ x. [para(4085(a,1),4379(a,1,1)),flip(a)]. given #3861 (H,wt=17): 4390 (1 / x) \ ((1 / x) \ y) = y * ((1 / x) \ x). [para(74(a,1),4382(a,1,2,2)),flip(a)]. given #3862 (H,wt=17): 4391 (x \ 1) \ ((x \ 1) \ y) = y * ((1 / x) \ x). [para(3653(a,1),4382(a,1,2)),flip(a)]. given #3863 (H,wt=17): 4392 (x / y) \ ((x / y) \ 1) = x \ ((x / y) \ y). [para(74(a,1),4383(a,1,2,2)),flip(a)]. given #3864 (H,wt=15): 4660 ((x / y) * x) \ y = x \ ((x / y) \ y). [hyper(58,a,4388,a(flip),b,4392,a)]. given #3865 (H,wt=17): 4414 (x * x) \ ((y / x) \ 1) = (y / (1 / x)) \ 1. [para(3586(a,1),4412(a,1,1)),flip(a)]. given #3866 (H,wt=17): 4433 x * K(y,(z \ u) \ 1) = x * K(y,u \ z). [hyper(114,a,4431,a,b,4,a)]. given #3867 (H,wt=17): 4436 (x \ y) \ K(z,y \ x) = T((x \ y) \ 1,z). [hyper(112,a,4431,a(flip),b,2650,a)]. given #3868 (H,wt=17): 4443 K(x,(K(y,z) * u) \ 1) = K(x,u \ K(z,y)). [para(3882(a,1),4431(a,1,2,1))]. given #3869 (H,wt=17): 4458 (x / y) \ K(z,y / x) = T((x / y) \ 1,z). [hyper(112,a,4452,a(flip),b,2650,a)]. given #3870 (H,wt=17): 4462 T((1 / (x \ y)) * z,y \ x) = z / (x \ y). [hyper(58,a,1979,a(flip),b,4459,a),flip(a)]. given #3871 (H,wt=17): 4463 (x \ y) * T(z,y \ x) = z / ((x \ y) \ 1). [hyper(114,a,4459,a(flip),b,2928,a)]. given #3872 (H,wt=17): 4469 T(x,y \ z) * (z \ y) = (1 / (z \ y)) \ x. [para(4459(a,1),1972(a,1,1))]. given #3873 (H,wt=17): 4471 T(x,(y * (z \ 1)) \ 1) = T(x,y \ T(z,y)). [para(2935(a,1),4459(a,1,2,1))]. given #3874 (H,wt=17): 4474 T(x,(K(y,z) * u) \ 1) = T(x,u \ K(y,z)). [para(3901(a,1),4459(a,1,2,1))]. given #3875 (H,wt=17): 4480 (x / y) * T(z,y / x) = z / ((x / y) \ 1). [hyper(114,a,4478,a(flip),b,2928,a)]. given #3876 (H,wt=17): 4481 T(x,y / z) * (z / y) = (1 / (z / y)) \ x. [para(4478(a,1),1972(a,1,1))]. given #3877 (H,wt=17): 4498 (x * T(x \ y,z)) / y = K(1 / (x / y),z). [hyper(272,a,2419,a,b,3165,a),flip(a)]. given #3878 (H,wt=17): 4507 ((x * x) \ y) / (y / x) = 1 / T(x,x \ y). [para(2235(a,1),3262(a,2,2))]. given #3879 (H,wt=17): 4520 x / ((x \ 1) * (y \ 1)) = ((x \ 1) \ y) * x. [para(4125(a,1),3341(a,1,1)),flip(a)]. given #3880 (H,wt=15): 4669 ((1 / x) / y) \ y = ((y \ 1) \ x) * y. [hyper(58,a,4024,a(flip),b,4520,a)]. given #3881 (H,wt=15): 4670 ((x \ 1) \ (y \ 1)) * x = (y / x) \ x. [para(72(a,1),4669(a,1,1,1)),flip(a)]. given #3882 (H,wt=17): 4521 ((x \ 1) * T(y,x)) \ x = x * ((y \ 1) * x). [para(4283(a,1),3345(a,1,2)),flip(a)]. given #3883 (H,wt=17): 4522 K(x,y) * ((x \ 1) * z) = (T(x,y) \ 1) * z. [para(2656(a,2),3407(a,2,1))]. given #3884 (H,wt=17): 4523 (x * x) * ((x \ 1) * y) = T(x,x \ 1) * y. [para(239(a,1),3419(a,1,2,1))]. given #3885 (H,wt=17): 4535 (x \ 1) * (y / (x \ 1)) = x * (y * (1 / x)). [hyper(272,a,3829,a(flip),b,3590,a),flip(a)]. given #3886 (H,wt=17): 4537 x * (((x \ 1) * y) * (1 / x)) = y * (x \ 1). [hyper(32,a,3338,a,b,3592,a(flip))]. given #3887 (H,wt=17): 4538 (x \ 1) * ((x \ 1) * T(y,x)) = (x \ y) / x. [para(676(a,1),3592(a,2,1))]. given #3888 (H,wt=17): 4541 (x \ y) * (x \ (1 / x)) = (x \ (y / x)) / x. [para(684(a,1),4536(a,1,1)),flip(a)]. given #3889 (H,wt=15): 4678 (x \ (1 / x)) / x = x \ (x \ (1 / x)). [hyper(58,a,4286,a(flip),b,4541,a),flip(a)]. given #3890 (H,wt=17): 4542 (x / y) * (y \ (1 / y)) = (y \ (y \ x)) / y. [para(2835(a,1),4536(a,1,1)),flip(a)]. given #3891 (H,wt=17): 4543 (x * (y \ (1 / y))) / y = y \ (y \ (x / y)). [para(4536(a,1),3581(a,1,1))]. given #3892 (H,wt=15): 4680 (x / y) * (1 / y) = x * (y \ (1 / y)). [hyper(32,a,3534,a,b,4543,a)]. given #3893 (H,wt=17): 4559 x * ((y * T(y,x)) / x) = (y * (x \ y)) * x. [para(4083(a,2),4557(a,2,2)),flip(a)]. given #3894 (H,wt=13): 4684 x \ (y * T(y,x)) = y * (x \ y). [hyper(2832,a,4559,a)]. given #3895 (H,wt=13): 4685 x * (y * (x \ y)) = y * T(y,x). [hyper(127,a,4684,a)]. given #3896 (H,wt=15): 4687 (x * T(x,y)) * y = (y * x) * T(x,y). [para(4685(a,1),1151(a,1,1))]. given #3897 (H,wt=13): 4692 (x * T(x,y)) * y = (x * y) * x. [hyper(272,a,657,a(flip),b,4687,a),flip(a)]. given #3898 (H,wt=13): 4693 ((x * y) * x) / y = x * T(x,y). [hyper(113,a,657,a(flip),b,4687,a)]. given #3899 (H,wt=17): 4560 T(x * (x * (x * y)),x) = (x * x) * (y * x). [hyper(272,a,3275,a(flip),b,3747,a),flip(a)]. given #3900 (H,wt=17): 4562 T(x,y \ 1) / (1 / y) = ((y \ 1) \ 1) * x. [para(2765(a,1),3766(a,1,2)),flip(a)]. given #3901 (H,wt=17): 4568 T(T(x,y) * (1 / y),y \ 1) = x * (1 / y). [hyper(272,a,4278,a(flip),b,3839,a),flip(a)]. given #3902 (H,wt=17): 4587 (x \ y) * (T(x,z) \ 1) = x \ (y / T(x,z)). [para(2656(a,2),3993(a,1,2))]. given #3903 (H,wt=17): 4588 (x \ 1) * T(y * x,x) = K(x,x \ 1) * y. [hyper(58,a,2917,a,b,4003,a)]. given #3904 (H,wt=17): 4590 ((x * y) * (x * y)) / y = x * ((1 / y) \ x). [hyper(272,a,2917,a(flip),b,4039,a),flip(a)]. given #3905 (H,wt=17): 4592 (x * y) * T(y,y \ 1) = (1 / y) \ (y * x). [hyper(1247,a,4068,a)]. given #3906 (H,wt=17): 4597 ((x \ 1) * (y / x)) \ 1 = (x \ 1) \ (y \ x). [hyper(112,a,2257,a(flip),b,4152,a),flip(a)]. given #3907 (H,wt=17): 4600 (((x \ 1) \ y) \ 1) \ x = x / (x \ (1 / y)). [para(4104(a,2),4188(a,1,1))]. given #3908 (H,wt=17): 4603 x * ((1 / (x * y)) / x) = x \ (x \ (x / y)). [hyper(32,a,2805,a,b,4199,a)]. given #3909 (H,wt=17): 4607 (x * ((x \ 1) \ y)) \ 1 = y \ (x \ (1 / x)). [para(4045(a,1),4288(a,1,1))]. given #3910 (H,wt=17): 4608 K(x,y) * T(T(x,y) * z,x) = T(x * z,x). [hyper(3909,a,4295,a)]. given #3911 (H,wt=17): 4610 T(x * y,y) * K(y,z) = T(x * T(y,z),y). [hyper(1242,a,4609,a),flip(a)]. given #3912 (H,wt=17): 4614 x \ T(x * K(y,z),y) = K(x,y) * K(y,z). [hyper(112,a,4611,a,b,2687,a)]. given #3913 (H,wt=17): 4615 (1 / x) \ (y / T(x,z)) = T(y,x) * K(x,z). [hyper(58,a,3991,a,b,4611,a)]. given #3914 (H,wt=17): 4616 (T(x,y) * K(y,z)) * y = y * (x * K(y,z)). [para(4611(a,1),2778(a,1,1))]. given #3915 (H,wt=15): 4716 T(x,y) * T(y,z) = y * (x * K(y,z)). [hyper(3701,a,4616,a)]. given #3916 (H,wt=17): 4619 (x * ((1 / y) \ x)) * y = (x * y) * (x * y). [para(2773(a,1),4322(a,1,1,2))]. given #3917 (H,wt=17): 4625 (1 / x) * (y \ (1 / x)) = ((y * x) \ 1) / x. [hyper(113,a,4621,a(flip),b,365,a(flip)),flip(a)]. given #3918 (H,wt=17): 4627 ((x * y) \ 1) * (y \ 1) = y \ (x \ (1 / y)). [para(4621(a,1),676(a,1,1))]. given #3919 (H,wt=17): 4637 x / (1 / (x * (1 / y))) = (x * x) * (y \ 1). [para(4149(a,2),4632(a,1,2))]. given #3920 (H,wt=17): 4644 ((1 / x) / y) / (x \ 1) = (x / y) * (1 / x). [para(4638(a,1),4054(a,1,1))]. given #3921 (H,wt=17): 4649 x * (T(y,x) \ (1 / x)) = ((x * y) \ 1) * x. [para(2778(a,1),4629(a,1,1,1)),flip(a)]. given #3922 (H,wt=17): 4663 T(x * ((y \ z) \ 1),z \ y) = (y \ z) \ x. [hyper(112,a,6,a(flip),b,4463,a),flip(a)]. given #3923 (H,wt=17): 4667 (x * T(x \ y,z)) / y = K(z,1 / (x / y)). [hyper(272,a,28,a,b,4498,a),flip(a)]. given #3924 (H,wt=17): 4671 ((x \ 1) \ K(y,z)) * x = (K(y,z) / x) \ x. [para(2884(a,1),4669(a,1,1,1)),flip(a)]. given #3925 (H,wt=17): 4672 x * (((y \ 1) \ 1) * x) = ((x * y) \ 1) \ x. [para(4156(a,1),4521(a,1,1)),flip(a)]. given #3926 (H,wt=17): 4674 (x \ 1) * T(x * y,x) = x * (y * (1 / x)). [hyper(58,a,694,a,b,4535,a)]. given #3927 (H,wt=17): 4675 x * ((x \ y) * (1 / x)) = (x \ 1) * T(y,x). [para(678(a,2),4535(a,1,2)),flip(a)]. given #3928 (H,wt=17): 4676 ((x \ 1) * y) * (1 / x) = (x \ 1) * (y / x). [hyper(29,a,3743,a,b,4537,a),flip(a)]. given #3929 (H,wt=17): 4677 (x \ 1) * ((x * y) \ 1) = (x \ (y \ 1)) / x. [para(4156(a,1),4538(a,1,2))]. given #3930 (H,wt=17): 4694 ((x / y) * T(x / y,y)) * y = x * (x / y). [hyper(272,a,135,a(flip),b,4692,a),flip(a)]. given #3931 (H,wt=15): 4729 ((x \ y) * (y / x)) * x = y * (y / x). [para(303(a,1),4694(a,1,1))]. given #3932 (H,wt=15): 4730 (x * (x / y)) / y = (y \ x) * (x / y). [hyper(122,a,4729,a)]. given #3933 (H,wt=17): 4697 T((x * T(x,y)) \ 1,y) = ((x * y) * x) \ y. [para(4692(a,1),2258(a,2,1))]. given #3934 (H,wt=17): 4710 (x * y) * T(y,y \ 1) = y * ((y \ 1) \ x). [hyper(272,a,725,a(flip),b,4592,a),flip(a)]. given #3935 (H,wt=17): 4713 x \ (x \ (x / (x \ y))) = x * ((1 / y) / x). [para(5(a,1),4603(a,1,2,1,2)),flip(a)]. given #3936 (H,wt=17): 4715 ((1 / x) \ y) * K(x,z) = T(y * T(x,z),x). [hyper(58,a,2919,a(flip),b,4610,a)]. given #3937 (H,wt=17): 4717 x \ (y * (T(x,z) * x)) = x * (y * K(x,z)). [hyper(58,a,1258,a,b,4716,a)]. given #3938 (H,wt=17): 4721 x / (1 / (x * (1 / (x * y)))) = (x \ y) \ 1. [hyper(272,a,4415,a(flip),b,4637,a),flip(a)]. given #3939 (H,wt=17): 4724 T(x * (x * K(y,z)),x) = (K(y,z) / x) \ x. [hyper(58,a,3144,a,b,4671,a)]. given #3940 (H,wt=15): 4735 T(x * T(x,y),x) = (K(x,y) / x) \ x. [para(2674(a,2),4724(a,1,1,2))]. given #3941 (H,wt=17): 4725 ((x * (y \ 1)) \ 1) \ x = x * ((1 / y) * x). [para(2826(a,1),4672(a,1,2,1)),flip(a)]. given #3942 (H,wt=17): 4726 (x * (1 / (x * y))) \ 1 = x * (y * (1 / x)). [hyper(58,a,4154,a,b,4674,a)]. given #3943 (H,wt=17): 4727 (x \ (y \ 1)) * (1 / x) = x \ ((x * y) \ 1). [hyper(112,a,4156,a(flip),b,4675,a),flip(a)]. given #3944 (H,wt=17): 4731 T(x \ (T(x,y) \ 1),y) = ((x * y) * x) \ y. [para(4048(a,1),4697(a,1,1))]. given #3945 (H,wt=17): 4732 (x * y) * ((y \ 1) \ 1) = y * ((y \ 1) \ x). [hyper(58,a,269,a(flip),b,4710,a)]. given #3946 (H,wt=17): 4734 x \ (y * (x * T(x,z))) = x * (y * K(x,z)). [para(218(a,1),4717(a,1,2,2))]. given #3947 (H,wt=17): 4737 x * ((x \ 1) \ (y / x)) = y * ((x \ 1) \ 1). [hyper(278,a,4732,a),flip(a)]. given #3948 (H,wt=17): 4739 x * (x * (y * K(x,z))) = y * (x * T(x,z)). [hyper(127,a,4734,a)]. given #3949 (H,wt=17): 4740 (x \ y) * (x * T(x,z)) = x * (y * K(x,z)). [hyper(114,a,4299,a(flip),b,4734,a),flip(a)]. given #3950 (H,wt=17): 4742 (1 / x) * (y * ((x \ 1) \ 1)) = x * (y / x). [hyper(114,a,4737,a(flip),b,725,a)]. given #3951 (H,wt=17): 4743 (1 / x) * ((x \ y) \ 1) = x * ((y \ 1) / x). [para(4021(a,1),4742(a,1,2))]. given #3952 (H,wt=18): 2644 T(x,y) * z != (x \ T(x,y)) * u | x \ u = z. [para(2633(a,2),38(a,1)),flip(a)]. given #3953 (H,wt=18): 2735 L(x,y,z) \ L(T(x,u),y,z) = K(L(x,y,z),u). [para(20(a,2),2672(a,2,2)),flip(a)]. given #3954 (H,wt=18): 2790 (T(x,y * z) * y) * z = (y * z) * R(x,y,z). [para(2765(a,1),553(a,1,2,1)),flip(a)]. given #3955 (H,wt=10): 4744 T(x,y * y) = R(x,y,y). [hyper(3258,a,2790,a)]. given #3956 (H,wt=9): 4746 R(x,y,y) = L(x,y,y). [hyper(58,a,2952,a(flip),b,4744,a),flip(a)]. given #3957 (H,wt=18): 2817 L(T(x,y),z,u) * y != w | y * L(x,z,u) = w. [para(2774(a,2),760(a,1,1,1))]. given #3958 (H,wt=18): 2818 (x * (y * z)) / (x * y) = L(T(z,x * y),y,x). [para(2774(a,2),739(a,1,1)),flip(a)]. given #3959 (H,wt=18): 2845 (x * T(y,z)) \ (x * (z * y)) = L(z,T(y,z),x). [para(2778(a,1),13(a,2,2,2)),flip(a)]. given #3960 (H,wt=18): 2846 ((x * T(y,z)) * z) / (z * y) = R(x,T(y,z),z). [para(2778(a,1),15(a,2,2)),flip(a)]. given #3961 (H,wt=18): 2848 (x * y) * L(z,x,T(y,x)) = T(y,x) * (x * z). [para(2778(a,1),87(a,1,1))]. given #3962 (H,wt=18): 2849 L(x \ y,x,T(z,x)) = (x * z) \ (T(z,x) * y). [para(2778(a,1),89(a,2,1))]. given #3963 (H,wt=18): 2851 (x \ 1) * T(y,x) != z | x \ T(y,x \ 1) = z. [para(2778(a,1),707(a,1))]. given #3964 (H,wt=18): 2865 T(a(x \ 1,y,z),x) != u | a(x \ 1,y,z) = u. [para(2513(a,1),2810(a,1,1))]. given #3965 (H,wt=18): 2870 R(x * K(y,x),y,z) = ((y * x) * z) / (y * z). [para(2684(a,1),94(a,1,1))]. given #3966 (H,wt=18): 2897 x \ y != (z * u) / z | x * (u * K(z,u)) = y. [para(2746(a,1),538(a,2,1))]. given #3967 (H,wt=18): 2977 T(x,y) \ ((y * x) * (y \ 1)) = a(y,x,y \ 1). [para(2843(a,2),9(a,2,1)),flip(a)]. given #3968 (H,wt=16): 4749 T(x,y) \ T(x,y \ 1) = a(y,x,y \ 1). [para(378(a,1),2977(a,1,2))]. given #3969 (H,wt=18): 2980 x * (y \ T(z,y)) != u | x * (z * (y \ 1)) = u. [para(2843(a,2),507(a,1,2,2))]. given #3970 (H,wt=14): 4750 T(x,y) != z | y * (x * (y \ 1)) = z. [para(5(a,1),2980(a,1))]. given #3971 (H,wt=18): 2989 ((x \ y) \ y) \ y != z \ u | z * (y / x) = u. [para(2898(a,1),506(a,1,1))]. given #3972 (H,wt=16): 4751 T(x \ y,x) != z \ u | z * (y / x) = u. [para(2233(a,2),2989(a,1))]. given #3973 (H,wt=16): 4752 T(x,y) != z \ u | z * ((y * x) / y) = u. [para(4(a,1),4751(a,1,1))]. given #3974 (H,wt=18): 2993 (1 / x) * T(y,x) != z * u | z \ (y / x) = u. [para(2920(a,2),341(a,1,2))]. given #3975 (H,wt=18): 3014 x * (y * y) != z * u | (y * (y * x)) / u = z. [para(2955(a,1),467(a,1,1))]. given #3976 (H,wt=18): 3015 x \ (y * (y * x)) != z * u | (y * y) / u = z. [para(2955(a,1),472(a,1,1))]. given #3977 (H,wt=18): 3016 x \ y != z * (u * u) | x * (u * (u * z)) = y. [para(2955(a,1),505(a,2,1))]. given #3978 (H,wt=18): 3043 (x * y) \ (x * (z \ y)) = L(T(z,y) \ 1,y,x). [para(2999(a,2),89(a,1,1)),flip(a)]. given #3979 (H,wt=18): 3074 T(1 / x,y) \ y != z \ u | z * (y * x) = u. [para(3031(a,2),506(a,1,1))]. given #3980 (H,wt=18): 3082 (1 / (x \ y)) / x != z | (1 / x) * (x / y) = z. [para(3063(a,1),379(a,1,1))]. given #3981 (H,wt=18): 3094 x \ T(y,x \ 1) != z | (x \ 1) * T(y,x) = z. [para(681(a,1),2808(a,1))]. given #3982 (H,wt=18): 3095 x * (y * (1 / y)) != z | (y * (1 / y)) * x = z. [para(1639(a,1),2808(a,1,1))]. given #3983 (H,wt=18): 3097 T(x,y) * K(x,z) != u | K(x,z) * T(x,y) = u. [para(1896(a,1),2808(a,1,1))]. given #3984 (H,wt=18): 3101 T(1 / ((x \ 1) \ y),x) = L((x \ 1) / y,x,x). [para(3030(a,1),2925(a,1,1)),flip(a)]. given #3985 (H,wt=18): 3121 (L(x,y,y) * (z / y)) * y = y \ ((y * x) * z). [para(2970(a,1),666(a,1,2,1)),flip(a)]. given #3986 (H,wt=18): 3140 x \ ((x * y) * (z * x)) = (L(y,x,x) * z) * x. [para(3118(a,1),664(a,1,1,1)),flip(a)]. given #3987 (H,wt=18): 3141 (x \ ((x * y) * z)) / x = L(y,x,x) * (z / x). [para(3118(a,1),771(a,1,1)),flip(a)]. given #3988 (H,wt=18): 3148 x * (T(x * y,x) \ x) = (L(y,x,x) \ 1) * x. [para(3136(a,1),2272(a,1,1,1)),flip(a)]. given #3989 (H,wt=17): 4760 x * (T(x * y,x) \ x) = (y \ (x * x)) / x. [hyper(272,a,4230,a(flip),b,3148,a),flip(a)]. given #3990 (H,wt=15): 4761 (x \ (y * y)) / y = (y * x) \ (y * y). [hyper(58,a,3368,a(flip),b,4760,a),flip(a)]. given #3991 (H,wt=18): 3193 T(K(x,y) * z,x) != u | (T(x,y) * z) / x = u. [para(2748(a,1),2811(a,1,1))]. given #3992 (H,wt=18): 3200 T(x,y) * (x \ 1) != z * u | z \ K(x,y) = u. [para(2749(a,2),229(a,1))]. given #3993 (H,wt=18): 3208 K(x,y) * T(z * x,x) = T(x,y) * L(z,x,x). [para(2918(a,1),2749(a,1,2)),flip(a)]. given #3994 (H,wt=18): 3259 (x * y) * y != z * u | z \ ((y * y) * x) = u. [para(3247(a,1),282(a,1,1))]. given #3995 (H,wt=18): 3265 x \ y != ((z * z) \ u) * z | x * (u / z) = y. [para(3249(a,1),505(a,2,1))]. given #3996 (H,wt=18): 3270 (x / y) / y != z * u | ((y * y) \ x) / u = z. [para(3250(a,1),276(a,1,1))]. given #3997 (H,wt=18): 3283 ((x * y) * y) / x != z * u | z \ (y * y) = u. [para(3252(a,2),492(a,1,1))]. given #3998 (H,wt=18): 3292 x \ y != (z * z) * u | x * ((u * z) * z) = y. [para(3256(a,1),505(a,2,1))]. given #3999 (H,wt=18): 3313 x \ y != (z \ u) / u | x * ((u * z) \ u) = y. [para(3299(a,1),538(a,2,1))]. given #4000 (H,wt=18): 3315 T(x,y) != (z \ y) \ y | ((y * z) \ y) \ 1 = x. [para(3299(a,1),2281(a,2,1))]. given #4001 (H,wt=18): 3316 (x \ (x / y)) * (y * x) != z * u | x / u = z. [para(3305(a,1),467(a,1,1))]. given #4002 (H,wt=18): 3320 ((x * y) \ x) * x != z * u | z \ (y \ x) = u. [para(3308(a,1),282(a,1,1))]. given #4003 (H,wt=18): 3321 ((x * y) \ x) * x != z * u | (y \ x) / u = z. [para(3308(a,1),467(a,1,1))]. given #4004 (H,wt=18): 3332 ((x * y) * (x * y)) / x = L(y,x,x) * (x * y). [para(3118(a,1),3029(a,1,1)),flip(a)]. given #4005 (H,wt=18): 3347 x / y != (y \ 1) * z | y * (z * (1 / y)) = x. [para(3127(a,1),2807(a,1)),flip(a)]. given #4006 (H,wt=18): 3438 (x * (y * y)) * x != z | x * ((y * y) * x) = z. [para(3378(a,1),2808(a,1,1))]. given #4007 (H,wt=18): 3490 L((x \ y) * y,x \ y,x \ y) = y * (y / x). [hyper(2043,a,3466,a)]. given #4008 (H,wt=18): 3598 T(T(x * y,y),x) != z | ((1 / y) / x) \ 1 = z. [para(2773(a,2),2863(a,1,1))]. given #4009 (H,wt=18): 3601 K(x,y) * (z * K(x,y)) != u | T(z,K(x,y)) = u. [para(2879(a,1),2938(a,1,2,2))]. given #4010 (H,wt=18): 3605 (x * y) \ y != y * z | (x \ 1) * (y \ 1) = z. [para(2258(a,1),2978(a,1))]. given #4011 (H,wt=18): 3606 L(x,y,z) \ x != u | x * (L(x,y,z) \ 1) = u. [para(156(a,1),2979(a,1,2))]. given #4012 (H,wt=18): 3609 x \ ((y / x) \ 1) != z | (y \ x) * (x \ 1) = z. [para(2768(a,1),2979(a,1,2))]. given #4013 (H,wt=18): 3613 ((x * x) \ y) \ y != z | y / (x \ (x \ y)) = z. [para(3019(a,1),2988(a,1,1,1))]. given #4014 (H,wt=18): 3623 (x * (y / x)) * x != z | (x * x) * (x \ y) = z. [para(2828(a,1),3255(a,1,1))]. given #4015 (H,wt=18): 3624 ((x * x) * y) * x != z | (x * x) * (y * x) = z. [para(3252(a,1),3255(a,1,1))]. given #4016 (H,wt=18): 3652 (x * ((x \ y) * z)) / y = L(T(z,y),x \ y,x). [hyper(113,a,363,a(flip),b,2787,a)]. given #4017 (H,wt=18): 3689 x * K(y \ x,z) != u | y * T(y \ x,z) = u. [para(3668(a,1),296(a,1))]. given #4018 (H,wt=18): 3712 x \ (y * T(x,z)) != u | T(y * K(x,z),x) = u. [para(3699(a,1),291(a,1,2))]. given #4019 (H,wt=18): 3726 (x / y) * x != y * z | (x / y) * (x / y) = z. [para(2953(a,1),38(a,1))]. given #4020 (H,wt=18): 3736 T(x * x,y) != z \ y | (x \ (x \ 1)) * y = z. [para(3060(a,1),43(a,1))]. given #4021 (H,wt=18): 3739 x \ (x \ y) != (x \ 1) * z | (1 / x) * y = z. [para(3116(a,1),38(a,1))]. given #4022 (H,wt=18): 3741 (1 / x) \ (x \ y) != x * z | (1 / x) * y = z. [para(3122(a,2),38(a,1))]. given #4023 (H,wt=18): 3745 (1 / x) \ (y / (1 / x)) != z | x * (y * x) = z. [para(3138(a,1),287(a,1,2))]. given #4024 (H,wt=18): 3748 x / (1 / y) != z | (1 / y) * (y * (x * y)) = z. [para(2966(a,1),3147(a,1))]. given #4025 (H,wt=18): 3750 T(x,y) * (T(x,y) * z) != z * u | x * x = u. [para(3159(a,2),38(a,1))]. given #4026 (H,wt=18): 3751 T(x,y) * (T(x,y) * z) != u | x * (x * z) = u. [para(3159(a,2),3013(a,1))]. given #4027 (H,wt=18): 3755 K(x / y,z) * u != y * T(y \ x,z) | x = u. [para(3175(a,1),38(a,1)),flip(a)]. given #4028 (H,wt=18): 3756 (x * T(x \ y,z)) / y != u | K(y / x,z) = u. [para(3175(a,1),279(a,1,1))]. given #4029 (H,wt=16): 4765 K((x / y) \ 1,z) != u | K(y / x,z) = u. [para(3165(a,1),3756(a,1))]. given #4030 (H,wt=14): 4766 K(x \ 1,y) != z | K(1 / x,y) = z. [para(70(a,1),4765(a,1,1,1))]. given #4031 (H,wt=18): 3764 K(x,y) * T(x,z) != u * K(x,z) | T(x,y) = u. [para(3204(a,2),39(a,1))]. given #4032 (H,wt=18): 3780 (x * T(y,z)) * T(y,z) != u | (x * y) * y = u. [para(3288(a,2),3291(a,1))]. given #4033 (H,wt=18): 3794 (x * x) \ (1 / L(y,x,x)) = x \ (x \ (1 / y)). [para(3790(a,1),3524(a,1,2))]. given #4034 (H,wt=18): 3799 (x \ (y * y)) \ (y * y) = (L(x,y,y) \ 1) \ 1. [para(3797(a,1),3447(a,1,1)),flip(a)]. given #4035 (H,wt=18): 3811 (x * (((y \ x) \ 1) * y)) / y = L(y,y \ x,y). [hyper(58,a,2047,a,b,3808,a)]. given #4036 (H,wt=18): 3823 x * (x * ((1 / x) * y)) != z | (x \ 1) \ y = z. [para(3501(a,1),230(a,1,2))]. given #4037 (H,wt=18): 3831 x \ (x / (y \ 1)) != z \ 1 | x \ (x / y) = z. [para(3548(a,1),43(a,1))]. given #4038 (H,wt=18): 3842 x * T(x \ y,z) != y * u | K(z,x \ y) = u. [para(3662(a,2),38(a,1))]. given #4039 (H,wt=18): 3849 x \ (y * T(y \ x,z)) != u | K(y \ x,z) = u. [para(3671(a,2),287(a,1,2))]. given #4040 (H,wt=16): 4768 K((x \ y) \ 1,z) != u | K(y \ x,z) = u. [para(2877(a,1),3849(a,1))]. given #4041 (H,wt=18): 3859 T(x,K(y,z)) != (K(y,z) * u) * K(z,y) | u = x. [para(3717(a,2),44(a,1)),flip(a)]. given #4042 (H,wt=18): 3874 (K(x,y) * z) * K(y,x) != u | T(z,K(y,x)) = u. [para(3717(a,2),3868(a,1))]. given #4043 (H,wt=18): 3876 T(x * y,y) * z != u | ((1 / y) \ x) * z = u. [para(3722(a,1),230(a,1,2))]. given #4044 (H,wt=18): 3898 x \ y != z / (K(u,w) * z) | x * K(w,u) = y. [para(3880(a,1),538(a,2,1))]. given #4045 (H,wt=18): 3903 K(x,y) * (K(y,x) * z) != u * w | u \ z = w. [para(3882(a,1),285(a,1))]. given #4046 (H,wt=18): 3904 x \ y != K(z,u) * (K(u,z) * w) | x * w = y. [para(3882(a,1),286(a,2,2))]. given #4047 (H,wt=18): 3917 (x * K(y,z)) * K(z,y) != u * w | x / w = u. [para(3899(a,1),283(a,1,2))]. given #4048 (H,wt=18): 3920 K(x,y) * (K(x,y) * z) != u * w | u \ z = w. [para(3901(a,1),285(a,1))]. given #4049 (H,wt=18): 4001 L(T(x,y) \ z,x,x) = (1 / x) * (K(x,y) * z). [hyper(114,a,3946,a(flip),b,2970,a),flip(a)]. given #4050 (H,wt=18): 4009 x \ (y * K(x,z)) != u | T(y / T(x,z),x) = u. [para(3990(a,1),291(a,1,2))]. given #4051 (H,wt=18): 4017 (x * T(x \ y,z)) \ y != u | K(z,x \ y) = u. [para(3671(a,2),3924(a,1,1))]. given #4052 (H,wt=18): 4028 x * (y \ 1) != y * z | (y \ 1) * (x / y) = z. [para(3743(a,1),38(a,1))]. given #4053 (H,wt=18): 4058 x \ (x / (1 / y)) != z \ 1 | (x * y) \ x = z. [para(3832(a,1),43(a,1))]. given #4054 (H,wt=18): 4059 x \ y != y * (z / y) | ((z \ y) \ 1) \ 1 = x. [para(3833(a,1),43(a,1)),flip(a)]. given #4055 (H,wt=18): 4064 K(x,y) * z != u * K(x,y) | T(u,K(y,x)) = z. [para(3862(a,1),38(a,1)),flip(a)]. given #4056 (H,wt=18): 4065 K(x,y) * z != u * K(x,y) | T(z,K(y,x)) = u. [para(3865(a,1),39(a,1))]. given #4057 (H,wt=18): 4100 (x \ (1 / y)) \ 1 != z | y * ((x \ 1) \ 1) = z. [para(4021(a,1),533(a,1))]. given #4058 (H,wt=18): 4113 ((x \ y) \ 1) \ x != z | x * (1 / (x / y)) = z. [para(4066(a,1),290(a,1,1))]. given #4059 (H,wt=18): 4117 x \ ((y / x) * y) != z | (x \ y) * (x \ y) = z. [para(4085(a,1),287(a,1,2))]. given #4060 (H,wt=18): 4118 x * ((x \ y) * (x \ y)) != z | (y / x) * y = z. [para(4086(a,1),230(a,1,2))]. given #4061 (H,wt=18): 4137 x / (((x \ y) \ 1) \ 1) != z | x * (y \ x) = z. [para(4107(a,2),280(a,1,2))]. given #4062 (H,wt=18): 4157 (x \ 1) * T(y \ 1,x) != z | (x * y) \ 1 = z. [para(4131(a,1),230(a,1,2))]. given #4063 (H,wt=18): 4168 x \ y != ((y \ z) \ 1) * y | 1 / (z \ y) = x. [para(4147(a,1),43(a,1)),flip(a)]. given #4064 (H,wt=18): 4174 x \ 1 != y / (1 / z) | (z \ 1) * (1 / y) = x. [para(4151(a,1),43(a,1)),flip(a)]. given #4065 (H,wt=18): 4192 1 / x != (y \ z) * (1 / y) | y * (z \ y) = x. [para(4181(a,1),40(a,1)),flip(a)]. given #4066 (H,wt=18): 4207 K(x,y * x) != z \ u | z * K(y,x \ 1) = u. [para(3390(a,1),4205(a,1))]. given #4067 (H,wt=18): 4208 K(x,y * x) != z \ u | z * K(x \ 1,y) = u. [para(3391(a,1),4205(a,1))]. given #4068 (H,wt=18): 4209 x * ((x * y) / x) != z * u | (y * x) / u = z. [para(2306(a,1),2812(a,1))]. given #4069 (H,wt=18): 4223 (1 / x) * T(x * x,y) = (x \ 1) \ a(x,x,y). [hyper(114,a,4214,a(flip),b,3107,a)]. given #4070 (H,wt=18): 4229 (x * x) \ (T(x * x,y) / x) = a(x,x,y) / x. [hyper(112,a,4228,a,b,3251,a)]. given #4071 (H,wt=15): 4778 (x * x) \ L(x,y,x) = a(x,x,y) / x. [para(4250(a,1),4229(a,1,2))]. given #4072 (H,wt=18): 4239 x * (T(y,x) * z) != u | T(x,y) * (y * z) = u. [para(2694(a,1),3192(a,1,2))]. given #4073 (H,wt=18): 4240 x * (T(y,x) \ z) != u | T(x,y) * (y \ z) = u. [para(3885(a,1),3192(a,1,2))]. given #4074 (H,wt=18): 4242 T(T(x,y),x \ z) != u | T((x \ z) \ z,y) = u. [para(72(a,1),3224(a,1,1,1))]. given #4075 (H,wt=18): 4267 T(x,y) * K(x,z) != u | K(x,y) * T(x,z) = u. [para(2741(a,2),3692(a,1,1))]. given #4076 (H,wt=18): 4274 K(x,y) * T(z,x) != u | T(x,y) \ (z * x) = u. [para(17(a,2),4016(a,1,2))]. given #4077 (H,wt=18): 4289 x \ R(x,x \ y,x) = K(y,x) * K(x,x \ y). [para(5(a,1),4263(a,1,1,1)),flip(a)]. given #4078 (H,wt=18): 4292 (x * K(y,x)) \ z != u | K(x,y) * (x \ z) = u. [para(2652(a,1),4273(a,1,1))]. given #4079 (H,wt=18): 4350 x \ (y \ 1) != z * (y \ 1) | (y * x) \ y = z. [para(4345(a,1),39(a,1))]. given #4080 (H,wt=18): 4366 (x \ (y \ 1)) * y != z | (x \ y) * (1 / y) = z. [para(4359(a,1),227(a,1,1))]. given #4081 (H,wt=18): 4380 (x * x) \ y != y * z | T(x \ (x \ 1),y) = z. [para(4373(a,1),216(a,2)),flip(a)]. given #4082 (H,wt=18): 4403 L(x,y,y) * (x \ z) = K(x,y \ (y \ 1)) * z. [para(4401(a,1),2749(a,1,1))]. given #4083 (H,wt=15): 4779 L(x,y,y) * (x \ z) = a(x,y,y) * z. [para(4405(a,1),4403(a,2,1))]. given #4084 (H,wt=15): 4780 x * (a(x,y,y) * z) = L(x,y,y) * z. [hyper(114,a,4779,a(flip),b,1271,a)]. given #4085 (H,wt=13): 4781 L(x,y,y) * L(x,y,y) = x * x. [para(3807(a,1),4780(a,1,2)),flip(a)]. given #4086 (H,wt=15): 4782 x * (a(y,y,x) * z) = L(x,y,y) * z. [para(4244(a,1),4780(a,1,2,1))]. given #4087 (H,wt=15): 4784 a(x,x,y) * (y * z) = L(y,x,x) * z. [hyper(29,a,1270,a(flip),b,4782,a),flip(a)]. given #4088 (H,wt=18): 4417 (x * x) * ((x * y) \ 1) != z | (x \ y) \ 1 = z. [para(4413(a,1),230(a,1,2))]. given #4089 (H,wt=18): 4426 x \ L(x,y,z) != u \ 1 | L(x,y,z) \ x = u. [para(4423(a,1),43(a,1))]. given #4090 (H,wt=18): 4468 T(x \ y,y \ x) != z | ((x \ y) \ 1) \ 1 = z. [para(4459(a,1),570(a,1))]. given #4091 (H,wt=18): 4513 (x * (x * x)) * y != z | x * ((y * x) * x) = z. [para(4509(a,1),230(a,1,2))]. given #4092 (H,wt=18): 4514 (x * ((x * x) * y)) / y != z | x * (x * x) = z. [para(4510(a,2),2958(a,1))]. given #4093 (H,wt=18): 4516 (x * x) \ (1 / L(y,x,x)) = 1 / ((y * x) * x). [hyper(112,a,4515,a(flip),b,3329,a)]. given #4094 (H,wt=15): 4785 1 / ((x * y) * y) = y \ (y \ (1 / x)). [hyper(58,a,3794,a(flip),b,4516,a),flip(a)]. given #4095 (H,wt=15): 4787 1 / ((x * x) * y) = x \ (x \ (1 / y)). [para(3252(a,1),4785(a,1,2))]. given #4096 (H,wt=18): 4518 ((x \ 1) * y) * (x \ 1) != z | (x \ y) / x = z. [para(3340(a,2),3536(a,1))]. given #4097 (H,wt=18): 4525 x * (L(x,y,z) * (1 / x)) = L(L(x,y,z),x,x). [hyper(114,a,3453,a,b,2969,a)]. given #4098 (H,wt=18): 4546 (x * x) * T(1 / x,y) != z | T(x,x * y) = z. [para(3643(a,2),3408(a,1))]. given #4099 (H,wt=18): 4558 x * ((y / x) * y) != z | (y * (x \ y)) * x = z. [para(4556(a,1),248(a,1,2))]. given #4100 (H,wt=18): 4567 K(x \ 1,x * (y * x)) != z | K(x,x \ y) = z. [para(3819(a,2),3584(a,1))]. given #4101 (H,wt=18): 4594 T(x,y) * T(y * x,y) = L(x,y,y) * (y * x). [para(4593(a,1),3711(a,1,1)),flip(a)]. given #4102 (H,wt=18): 4665 T(T(x,y \ z),z \ y) = L(x,z \ y,z \ y). [hyper(215,a,4469,a,b,2000,a)]. given #4103 (H,wt=18): 4755 (x * (1 / y)) \ 1 != z | (x \ 1) * T(y,x) = z. [para(4176(a,2),3094(a,1))]. given #4104 (H,wt=18): 4756 T((x / (1 / y)) \ 1,x) = L((x \ 1) / y,x,x). [para(4201(a,1),3101(a,1,1))]. given #4105 (H,wt=16): 4789 L((x \ 1) / y,x,x) = 1 / ((1 / y) \ x). [hyper(3445,a,4756,a),flip(a)]. given #4106 (H,wt=18): 4757 (L(x \ y,x,x) * z) * x = x \ (y * (z * x)). [para(5(a,1),3140(a,1,2,1)),flip(a)]. given #4107 (H,wt=18): 4775 (x \ y) \ 1 != z | (y \ 1) * ((x \ 1) \ 1) = z. [para(72(a,1),4100(a,1,1,2))]. given #4108 (H,wt=18): 4776 x * ((y / x) * (y / x)) != z | (y / x) * y = z. [para(4115(a,2),4118(a,1,2))]. given #4109 (H,wt=18): 4777 (x \ 1) * T(y,x) != z | (x * (1 / y)) \ 1 = z. [para(74(a,1),4157(a,1,2,1))]. given #4110 (H,wt=18): 4790 x / ((y \ 1) \ 1) != z | (y * (1 / x)) \ 1 = z. [para(3227(a,2),4777(a,1))]. given #4111 (H,wt=18): 4791 x / (1 / (1 / y)) != z | (y * (1 / x)) \ 1 = z. [para(2898(a,2),4790(a,1,2))]. given #4112 (H,wt=19): 2697 (T(x,y) * K(z,x)) * u = T(x,y) * (K(z,x) * u). [para(2693(a,1),450(a,1,1,1)),flip(a)]. given #4113 (H,wt=18): 4792 T(x,x * y) * (K(y,x) * z) = L(x,y,x) * z. [para(2732(a,1),2697(a,1,1)),flip(a)]. given #4114 (H,wt=19): 2708 (x * K(y,z)) * T(y,u) = x * (K(y,z) * T(y,u)). [para(2706(a,1),364(a,1,2,1))]. given #4115 (H,wt=10): 4793 R(x,K(y,z),T(y,u)) = x. [hyper(453,a,2708,a)]. given #4116 (H,wt=10): 4794 R(x,K(y,z),T(z,u)) = x. [para(28(a,1),4793(a,1,2))]. given #4117 (H,wt=19): 2729 (x * ((y * (x \ z)) / y)) / z = K(y,(x / z) \ 1). [hyper(272,a,2583,a,b,2672,a)]. given #4118 (H,wt=19): 2799 ((1 / x) \ y) * T(x,z) = x * ((y * K(x,z)) * x). [para(2730(a,2),108(a,1,2,1,2)),flip(a)]. given #4119 (H,wt=17): 4796 ((1 / x) \ y) * T(x,z) = x * (y * T(x,z)). [para(3699(a,1),2799(a,2,2))]. given #4120 (H,wt=19): 2819 T(L(x,y,z) * (x \ u),x) = (L(x,y,z) * u) / x. [para(1272(a,1),2774(a,2,1))]. given #4121 (H,wt=19): 2850 ((x * y) * z) / (x * z) != u | R(T(y,x),x,z) = u. [para(2778(a,1),457(a,1,1,1))]. given #4122 (H,wt=19): 2931 T((1 / x) \ y,z) / x = (1 / x) * T(y * x,z). [para(381(a,1),2780(a,1,2)),flip(a)]. given #4123 (H,wt=18): 4798 T((1 / x) \ x,y) / x = (x \ 1) \ a(x,x,y). [hyper(272,a,4223,a(flip),b,2931,a),flip(a)]. given #4124 (H,wt=19): 2942 (x * ((x \ 1) / y)) * x = x * (1 / T(y,x \ 1)). [para(2793(a,1),703(a,1,1,2))]. given #4125 (H,wt=15): 4799 (x * ((x \ 1) / y)) * x = T(x / y,x). [hyper(272,a,4196,a(flip),b,2942,a),flip(a)]. given #4126 (H,wt=15): 4800 (1 / x) * (x / y) = x * ((x \ 1) / y). [hyper(30,a,365,a(flip),b,4799,a)]. given #4127 (H,wt=15): 4801 (1 / x) / (y / x) = x * ((x \ 1) / y). [hyper(58,a,4652,a,b,4800,a)]. given #4128 (H,wt=15): 4802 x * ((x \ 1) / (y * x)) = (1 / x) / y. [para(6(a,1),4801(a,1,2)),flip(a)]. given #4129 (H,wt=19): 2960 (x * ((1 / y) * (1 / y))) * y = T((1 / y) * x,y). [para(2840(a,1),368(a,1,1)),flip(a)]. given #4130 (H,wt=19): 2994 L(1 / x,y,z) * T(u,x) = (a(x,z,y) * u) / x. [para(2920(a,2),1296(a,1,2))]. given #4131 (H,wt=19): 3022 x * (y * (y * (x \ T(x,z)))) = T(x,z) * (y * y). [hyper(114,a,2956,a(flip),b,2631,a)]. given #4132 (H,wt=19): 3028 (x * (y * y)) \ ((y * y) * x) != z | a(y,y,x) = z. [para(2956(a,2),588(a,1,1))]. given #4133 (H,wt=12): 4807 a(x,y,y) != z | a(y,y,x) = z. [para(3282(a,1),3028(a,1))]. given #4134 (H,wt=13): 4805 K(x * x,y) != z | a(x,x,y) = z. [para(11(a,2),3028(a,1))]. given #4135 (H,wt=13): 4806 K(x,y * y) != z | a(y,y,x) = z. [para(109(a,2),3028(a,1))]. given #4136 (H,wt=19): 3052 (x \ 1) * ((y * (x \ 1)) \ 1) = (x \ y) \ (x \ 1). [para(383(a,1),3006(a,1,2,1))]. given #4137 (H,wt=19): 3055 ((1 / x) * y) \ (x \ 1) = (x \ 1) * ((y / x) \ 1). [para(1979(a,1),3006(a,1,2,1)),flip(a)]. given #4138 (H,wt=19): 3066 (1 / x) \ (1 / ((x \ 1) \ y)) = ((x \ 1) / y) * x. [para(3030(a,1),1972(a,1,1)),flip(a)]. given #4139 (H,wt=19): 3154 T(x,x \ 1) * (y * T(x,x \ 1)) = x * (y * x). [para(1823(a,1),2661(a,1,2)),flip(a)]. given #4140 (H,wt=19): 3161 T(x * y,y) * ((1 / y) \ x) = (x * y) * (x * y). [para(2773(a,1),3155(a,1,2))]. given #4141 (H,wt=19): 3163 R(x * T(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). [hyper(2442,a,2671,a)]. given #4142 (H,wt=17): 4814 R(K(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). [para(2671(a,1),3163(a,1,1))]. given #4143 (H,wt=17): 4815 K(R(x \ 1,y,z) \ 1,u) = R(K(x,u),y,z). [para(2418(a,1),4814(a,1,1)),flip(a)]. given #4144 (H,wt=19): 3164 L(x * T(x \ 1,y),z,u) = K(L(x,z,u) \ 1,y). [hyper(58,a,2436,a(flip),b,2671,a)]. given #4145 (H,wt=17): 4817 L(K(x \ 1,y),z,u) = K(L(x,z,u) \ 1,y). [para(2671(a,1),3164(a,1,1))]. given #4146 (H,wt=17): 4818 K(L(x \ 1,y,z) \ 1,u) = L(K(x,u),y,z). [para(2418(a,1),4817(a,1,1)),flip(a)]. given #4147 (H,wt=19): 3244 T(x * y,x) * (z * x) = x * ((T(y,x) * z) * x). [para(2924(a,1),27(a,1,1))]. given #4148 (H,wt=19): 3253 ((x * x) * (x * x)) * y = x * (x * (y * (x * x))). [hyper(32,a,2955,a,b,3247,a),flip(a)]. given #4149 (H,wt=19): 3271 ((x * y) * (x * y)) * (K(x,y) / (x * y)) = y * x. [hyper(272,a,2563,a(flip),b,3251,a),flip(a)]. given #4150 (H,wt=19): 3289 ((x * (y * y)) * (y * y)) / x = y * (y * (y * y)). [hyper(272,a,2956,a(flip),b,3256,a),flip(a)]. given #4151 (H,wt=19): 3301 ((x / y) \ (1 / y)) * (1 / y) = T(x,y) \ (1 / y). [para(2920(a,2),3295(a,1,1)),flip(a)]. given #4152 (H,wt=19): 3328 (T(x * y,y) / x) \ x = x * (T(y,x * y) \ 1). [para(2814(a,1),3007(a,1,2,1)),flip(a)]. given #4153 (H,wt=17): 4823 (T(x * y,y) / x) \ x = x * T(y \ 1,x). [para(3334(a,1),3328(a,2,2))]. given #4154 (H,wt=15): 4824 (T(x * y,y) / x) \ x = (y \ 1) * x. [hyper(272,a,98,a(flip),b,4823,a),flip(a)]. given #4155 (H,wt=12): 4825 R(x,x,y) \ y = (x \ 1) * y. [para(4566(a,1),4824(a,1,1))]. given #4156 (H,wt=19): 3346 T(x * T(y / z,y),y \ z) = ((y \ z) \ 1) * x. [para(3063(a,2),3127(a,1,1,2))]. given #4157 (H,wt=19): 3383 (x * x) * T(y * y,z) = x * (x * T(y * y,z)). [para(3373(a,1),364(a,1,2,1))]. given #4158 (H,wt=19): 3402 K(x,y \ 1) * ((x * y) * z) = T(x * y,y) * z. [para(3391(a,2),2694(a,1,1))]. given #4159 (H,wt=19): 3441 x \ ((x * (y * y)) * z) = ((y * y) * (z / x)) * x. [para(3379(a,1),666(a,1,2,1))]. given #4160 (H,wt=19): 3443 a(T(x,x * y),z,u) = a(T(x \ 1,y) \ 1,z,u). [para(3388(a,1),2512(a,1,1,1)),flip(a)]. given #4161 (H,wt=19): 3459 (x * ((x * y) * y)) * x = (x * x) * (x * (y * y)). [para(3439(a,1),1159(a,1,2)),flip(a)]. given #4162 (H,wt=19): 3474 ((x \ (1 / x)) / y) \ 1 = (x \ 1) \ ((x \ 1) \ y). [para(684(a,1),3455(a,1,1,1))]. given #4163 (H,wt=19): 3479 x \ ((y * ((x * z) * z)) / x) = (x \ y) * (z * z). [para(3458(a,1),1136(a,1,2)),flip(a)]. given #4164 (H,wt=19): 3485 T(x,T(y,x \ 1)) \ 1 = (y * x) \ T(y,x \ 1). [para(2791(a,1),3463(a,1,1)),flip(a)]. given #4165 (H,wt=19): 3538 (x * (y * z)) * (1 / z) = z * (((1 / z) * x) * y). [para(749(a,1),3499(a,1,2)),flip(a)]. given #4166 (H,wt=19): 3544 (x * x) * ((y * x) * x) = x * (x * (x * (x * y))). [para(3503(a,1),2011(a,1,2))]. given #4167 (H,wt=19): 3555 L(x,y,((z \ 1) \ u) \ u) = L(x,y,T(z,u) \ 1). [para(3521(a,2),2449(a,1,3))]. given #4168 (H,wt=19): 3558 T(1 / ((x * x) * y),x \ 1) = (x \ 1) / (x * y). [para(3523(a,1),3030(a,1,1,2))]. given #4169 (H,wt=19): 3579 x * (a(x \ 1,y,z) / x) = (x \ 1) * L(x,z,y). [para(2505(a,2),3541(a,1,2)),flip(a)]. given #4170 (H,wt=19): 3583 (x \ 1) * (y * (1 / x)) = x * ((x \ (x \ y)) / x). [para(3534(a,1),3542(a,1,2,1)),flip(a)]. given #4171 (H,wt=19): 3585 (x \ 1) \ K(x,x \ y) = (x * x) * T(1 / x,y). [para(3549(a,1),3498(a,1,2)),flip(a)]. given #4172 (H,wt=15): 4833 (x \ 1) \ K(x,x \ y) = T(x,x * y). [hyper(272,a,4545,a(flip),b,3585,a),flip(a)]. given #4173 (H,wt=19): 3633 (x * x) \ ((x * x) \ y) = x \ (x \ (x \ (x \ y))). [para(254(a,1),3524(a,1,2))]. given #4174 (H,wt=19): 3634 (x * x) \ (y / (x * x)) = x \ (x \ ((x * x) \ y)). [para(2963(a,1),3524(a,1,2))]. given #4175 (H,wt=19): 3685 T(x,y \ 1) * T(y,z) = ((1 / y) \ x) * K(y,z). [para(1972(a,1),3664(a,1,1)),flip(a)]. given #4176 (H,wt=17): 4834 T(x,y \ 1) * T(y,z) = T(x * T(y,z),y). [hyper(272,a,4715,a(flip),b,3685,a),flip(a)]. given #4177 (H,wt=19): 3686 (x / (y \ 1)) * T(y,z) = (x * (y * y)) * K(y,z). [para(3370(a,1),3664(a,1,1)),flip(a)]. given #4178 (H,wt=19): 3695 x \ (x \ (y * T(x * x,z))) = y * K(x * x,z). [hyper(3062,a,3688,a)]. given #4179 (H,wt=18): 4836 x \ (x \ (y * T(x * x,z))) = y * a(x,x,z). [para(4211(a,1),3695(a,2,2))]. given #4180 (H,wt=19): 3704 (x * T(y,z)) / (x * K(y,z)) = T(y,x * K(y,z)). [para(3690(a,1),2775(a,1,1)),flip(a)]. given #4181 (H,wt=19): 3724 (x / ((y \ 1) \ 1)) * x = (x * x) * (T(y,x) \ 1). [para(2943(a,2),3252(a,1,1))]. given #4182 (H,wt=17): 4838 (x / ((y \ 1) \ 1)) * x = (x \ 1) \ (y \ x). [hyper(272,a,3529,a(flip),b,3724,a),flip(a)]. given #4183 (H,wt=17): 4839 (x \ 1) \ ((1 / y) \ x) = (x / (y \ 1)) * x. [para(74(a,1),4838(a,1,1,2,1)),flip(a)]. given #4184 (H,wt=17): 4840 ((x * (1 / y)) \ 1) * y = (y \ 1) \ (x \ y). [para(4132(a,1),4838(a,1,1))]. given #4185 (H,wt=18): 4841 L((x / (y \ 1)) * x,x,x) = x * ((1 / y) \ x). [para(4839(a,1),2967(a,1,1))]. given #4186 (H,wt=17): 4843 (x / (y \ 1)) / (1 / x) = x * ((1 / y) \ x). [hyper(58,a,2966,a(flip),b,4841,a)]. given #4187 (H,wt=19): 3758 K(x,y) * (R(y,z,u) * x) = R(y,z,u) * T(x,y). [hyper(272,a,2353,a(flip),b,3176,a),flip(a)]. given #4188 (H,wt=19): 3775 x * (y * ((z * u) * u)) = x * (y * ((u * u) * z)). [hyper(114,a,3280,a,b,4,a)]. given #4189 (H,wt=19): 3776 (x * ((y * z) * z)) / u = (x * ((z * z) * y)) / u. [hyper(113,a,3280,a,b,7,a)]. given #4190 (H,wt=19): 3804 L(L(L(x,y,y) \ 1,z,u),y,y) = L(x \ 1,z,u). [para(3798(a,1),2968(a,1,1,1))]. given #4191 (H,wt=19): 3822 x * (y * ((y \ 1) \ (x \ 1))) = T((1 / y) \ y,x). [hyper(114,a,3500,a(flip),b,2789,a)]. given #4192 (H,wt=17): 4845 x * (((y \ x) \ 1) * y) = T((1 / y) \ y,x). [para(4130(a,1),3822(a,1,2))]. given #4193 (H,wt=16): 4846 T((1 / x) \ x,y) / x = L(x,x \ y,x). [para(4845(a,1),3811(a,1,1))]. given #4194 (H,wt=15): 4847 (x \ 1) \ a(x,x,y) = L(x,x \ y,x). [hyper(58,a,4798,a(flip),b,4846,a)]. given #4195 (H,wt=19): 3825 (x * y) \ ((x * y) / (y \ 1)) = ((x * y) \ x) \ 1. [para(4(a,1),3513(a,1,2,2,1))]. given #4196 (H,wt=19): 3834 (1 / x) * ((1 / (1 / x)) * y) = x * ((1 / x) * y). [hyper(533,a,3556,a),flip(a)]. given #4197 (H,wt=19): 3843 x * K((y * z) \ x,y) = z * ((y \ (z \ x)) * y). [hyper(2363,a,3671,a),flip(a)]. given #4198 (H,wt=19): 3846 x \ (((y \ (x * z)) * y) / z) = K((y / z) \ x,y). [hyper(112,a,1338,a(flip),b,3671,a(flip))]. given #4199 (H,wt=19): 3847 x \ (y \ ((z \ (y * x)) * z)) = K((y \ z) \ x,z). [hyper(112,a,1286,a(flip),b,3671,a(flip))]. given #4200 (H,wt=19): 3857 x * (K(y,x) * K(y * x,y)) = T(y * x,y) / y. [hyper(58,a,3156,a(flip),b,3855,a)]. given #4201 (H,wt=16): 4851 x * (y \ R(y,x,y)) = T(y * x,y) / y. [para(3638(a,1),3857(a,1,2))]. given #4202 (H,wt=19): 3943 T(x,y) \ (T(x,z) * u) = K(y,x) * (K(x,z) * u). [para(2748(a,1),3885(a,1,2)),flip(a)]. given #4203 (H,wt=19): 3961 K(x,y) * (K(z,x) * u) = T(x,y) * (T(x,z) \ u). [hyper(114,a,3892,a(flip),b,3191,a),flip(a)]. given #4204 (H,wt=19): 3989 (x / T(y,z)) * T(y,u) = (x * K(z,y)) * K(y,u). [para(3933(a,1),3668(a,1,1))]. given #4205 (H,wt=19): 3999 ((1 / x) \ y) / T(x,z) = T(y,x \ 1) * K(x,z). [hyper(113,a,1972,a(flip),b,3938,a)]. given #4206 (H,wt=19): 4022 (x * ((x \ 1) \ y)) \ 1 = ((x * y) \ 1) * (x \ 1). [para(725(a,1),3733(a,1,1))]. given #4207 (H,wt=17): 4852 ((x * y) \ 1) * (x \ 1) = y \ (x \ (1 / x)). [hyper(58,a,4607,a(flip),b,4022,a),flip(a)]. given #4208 (H,wt=19): 4023 (T(x / y,x) \ z) \ 1 = (z \ 1) * ((x \ y) \ 1). [para(3063(a,2),3733(a,1,1,1))]. given #4209 (H,wt=19): 4032 T(x,y) \ ((x \ 1) \ z) = T(x,y) * ((1 / x) * z). [hyper(112,a,3497,a(flip),b,3749,a)]. given #4210 (H,wt=19): 4033 x * (x * ((1 / T(x,y)) * z)) = (T(x,y) \ 1) \ z. [hyper(58,a,3497,a(flip),b,3749,a),flip(a)]. given #4211 (H,wt=19): 4037 ((x * y) * y) * T(y,z) = (y * y) * (x * T(y,z)). [para(3778(a,1),3288(a,1,1))]. given #4212 (H,wt=19): 4040 ((x \ y) * (x \ y)) / x = ((x \ y) / x) * (y / x). [para(2775(a,1),4038(a,1,2)),flip(a)]. given #4213 (H,wt=19): 4049 T(x,1 / ((y * z) * z)) = T(x,z \ (z \ (y \ 1))). [para(3818(a,1),1967(a,2,2))]. given #4214 (H,wt=19): 4051 T(x \ (x \ (y \ 1)),x) = ((x * x) * (y * x)) \ x. [para(3818(a,1),3260(a,1,1))]. given #4215 (H,wt=17): 4857 ((x * x) * (y * x)) \ x = (x \ (y \ 1)) / x. [hyper(2811,a,4051,a),flip(a)]. given #4216 (H,wt=15): 4858 (x \ (y \ 1)) / x = (y * x) \ (1 / x). [hyper(4636,a,4857,a),flip(a)]. given #4217 (H,wt=17): 4859 (x \ 1) * ((x * y) \ 1) = (y * x) \ (1 / x). [hyper(58,a,4677,a,b,4858,a)]. given #4218 (H,wt=17): 4860 x * ((y * x) \ (1 / x)) = (y \ 1) * (1 / x). [hyper(114,a,4858,a(flip),b,3530,a)]. given #4219 (H,wt=17): 4862 1 / ((x * y) \ (1 / y)) = (1 / (y * x)) \ y. [para(4859(a,1),4020(a,1,2))]. given #4220 (H,wt=17): 4863 ((x / y) \ 1) * (1 / y) = y * (x \ (1 / y)). [para(7(a,1),4860(a,1,2,1)),flip(a)]. given #4221 (H,wt=17): 4864 ((x \ 1) \ (y / x)) \ 1 = x * (y \ (1 / x)). [hyper(58,a,4104,a,b,4863,a)]. given #4222 (H,wt=17): 4866 (x * (y * (1 / x))) \ 1 = x * (y \ (1 / x)). [para(3829(a,1),4864(a,1,1))]. given #4223 (H,wt=17): 4867 x * ((x * y) \ (1 / x)) = (y / (1 / x)) \ 1. [para(3587(a,1),4866(a,1,1)),flip(a)]. given #4224 (H,wt=18): 4865 L(x * (y / x),x,x) \ 1 = x * (y \ (1 / x)). [para(2002(a,2),4864(a,1,1))]. given #4225 (H,wt=18): 4868 L((x * (y / x)) \ 1,x,x) = x * (y \ (1 / x)). [hyper(58,a,3798,a,b,4865,a)]. given #4226 (H,wt=17): 4869 (x \ 1) \ (y \ (1 / x)) = (x * (y / x)) \ 1. [hyper(3110,a,4868,a)]. given #4227 (H,wt=17): 4870 (x \ 1) \ (y \ (1 / x)) = (x \ 1) * (y \ x). [hyper(272,a,4155,a(flip),b,4869,a),flip(a)]. given #4228 (H,wt=17): 4871 (x \ 1) * ((y * x) \ 1) = (x * y) \ (1 / x). [hyper(114,a,4177,a(flip),b,4870,a)]. given #4229 (H,wt=19): 4052 (x * (y * (y * x))) \ 1 = y \ (y \ ((x * x) \ 1)). [para(3774(a,1),3818(a,1,1))]. given #4230 (H,wt=19): 4053 x * (x * a(1 / x,y,z)) = (x \ 1) \ L(x,z,y). [para(1203(a,2),3820(a,1,2)),flip(a)]. given #4231 (H,wt=15): 4874 (x \ 1) \ L(x,y,z) = x * L(x,y,z). [para(2520(a,2),4053(a,1,2)),flip(a)]. given #4232 (H,wt=19): 4070 K(x,(y \ z) / (y \ 1)) * (y \ T(z,x)) = y \ z. [para(883(a,1),3884(a,1,2))]. given #4233 (H,wt=19): 4076 (x * ((y \ (x \ z)) * y)) \ z = K(y,(y * x) \ z). [para(2220(a,1),3918(a,1,1))]. given #4234 (H,wt=19): 4088 (x \ T(1 / x,y)) / y = ((x \ 1) / y) * (x \ 1). [para(756(a,1),4083(a,1,1))]. given #4235 (H,wt=19): 4101 (T(1 / x,y) \ z) \ 1 = (z \ 1) * T(x \ 1,y). [para(1616(a,1),4021(a,1,2)),flip(a)]. given #4236 (H,wt=19): 4114 ((x \ y) \ y) * ((x \ y) \ y) = (x \ y) \ (x * y). [hyper(112,a,165,a(flip),b,4085,a),flip(a)]. given #4237 (H,wt=15): 4875 ((x \ y) \ y) * ((x \ y) \ y) = x * x. [hyper(272,a,3010,a(flip),b,4114,a),flip(a)]. given #4238 (H,wt=19): 4127 ((x * (y \ 1)) \ 1) * (1 / y) = T(x,y \ 1) \ 1. [para(17(a,2),4104(a,1,1)),flip(a)]. given #4239 (H,wt=19): 4139 x / (x * (1 / L(x,y,z))) = (L(x,y,z) \ 1) \ 1. [para(692(a,1),4112(a,2,1))]. given #4240 (H,wt=19): 4143 ((x \ y) * (x \ y)) * z = (z * (y / x)) * (y / x). [para(4115(a,1),3252(a,2,1)),flip(a)]. given #4241 (H,wt=17): 4880 (x * (1 / y)) * (1 / y) = (y \ 1) * (y \ x). [hyper(58,a,4046,a(flip),b,4143,a),flip(a)]. given #4242 (H,wt=17): 4881 (x * (1 / y)) * (1 / y) = (y \ (1 / y)) * x. [para(684(a,1),4143(a,1,1)),flip(a)]. given #4243 (H,wt=19): 4160 ((x \ y) * (1 / y)) \ 1 = y * (((y \ x) \ 1) \ 1). [hyper(58,a,1797,a(flip),b,4132,a),flip(a)]. given #4244 (H,wt=19): 4179 (((x \ 1) \ y) * x) \ 1 = (x \ 1) * (y \ (x \ 1)). [hyper(58,a,4136,a(flip),b,4161,a),flip(a)]. given #4245 (H,wt=19): 4182 (((x \ 1) \ 1) * y) / x = (1 / x) * (y / (1 / x)). [hyper(114,a,4165,a(flip),b,2920,a(flip)),flip(a)]. given #4246 (H,wt=17): 4884 (((x \ 1) \ 1) * y) / x = x * (y * (1 / x)). [hyper(272,a,3575,a(flip),b,4182,a),flip(a)]. given #4247 (H,wt=17): 4885 (((x \ 1) \ 1) \ y) * (1 / x) = x \ (y / x). [hyper(534,a,4884,a),flip(a)]. given #4248 (H,wt=17): 4886 x * ((1 / y) * (1 / x)) = (1 / (y / x)) / x. [para(4185(a,1),4884(a,1,1)),flip(a)]. given #4249 (H,wt=19): 4184 T(((x \ 1) \ 1) * y,z) \ z = z * ((y \ 1) / x). [hyper(114,a,4172,a(flip),b,2934,a),flip(a)]. given #4250 (H,wt=15): 4888 (x / (1 / y)) \ y = y * ((x \ 1) / y). [para(4165(a,1),4184(a,1,1))]. given #4251 (H,wt=15): 4889 ((1 / x) / (1 / y)) \ y = y * (x / y). [para(74(a,1),4888(a,2,2,1))]. given #4252 (H,wt=15): 4891 (1 / x) / (1 / y) = ((x \ y) \ 1) \ 1. [hyper(4059,a,4889,a),flip(a)]. given #4253 (H,wt=15): 4894 ((x \ (y \ 1)) \ 1) \ 1 = (1 / x) / y. [para(72(a,1),4891(a,1,2)),flip(a)]. given #4254 (H,wt=15): 4896 1 / ((1 / x) / y) = (x \ (y \ 1)) \ 1. [hyper(178,a,4894,a)]. given #4255 (H,wt=15): 4898 T(x,(1 / y) / z) = T(x,y \ (z \ 1)). [para(4894(a,1),1970(a,1,2))]. given #4256 (H,wt=15): 4899 K(x,(1 / y) / z) = K(x,y \ (z \ 1)). [para(4894(a,1),2372(a,1,2))]. given #4257 (H,wt=15): 4902 1 / (x \ (y \ 1)) = ((1 / x) / y) \ 1. [para(4894(a,1),2826(a,1,1)),flip(a)]. given #4258 (H,wt=15): 4905 x / ((1 / x) / y) = x * ((y \ 1) \ x). [para(4894(a,1),4136(a,1,2))]. given #4259 (H,wt=17): 4890 x * ((T(y,x) \ 1) / x) = ((x \ 1) \ y) \ x. [para(3350(a,1),4888(a,1,1)),flip(a)]. given #4260 (H,wt=15): 4907 ((x \ 1) \ y) \ x = (y \ x) * (1 / x). [hyper(58,a,3540,a(flip),b,4890,a),flip(a)]. given #4261 (H,wt=17): 4892 (((x \ y) \ x) \ 1) \ 1 = (x \ 1) \ (x / y). [hyper(58,a,3349,a(flip),b,4891,a),flip(a)]. given #4262 (H,wt=17): 4893 x \ (((y \ x) \ 1) \ 1) = x * ((1 / y) / x). [hyper(112,a,4891,a(flip),b,3586,a)]. given #4263 (H,wt=15): 4908 ((x \ y) \ 1) \ 1 = y \ (y / (y \ x)). [hyper(33,a,4713,a,b,4893,a),flip(a)]. given #4264 (H,wt=15): 4909 x * T(y \ x,x \ y) = x / (x \ y). [hyper(1557,a,4908,a)]. given #4265 (H,wt=15): 4910 x * (((y \ x) \ 1) \ 1) = x / (x \ y). [hyper(114,a,4908,a,b,xx)]. given #4266 (H,wt=17): 4900 a((1 / x) / y,z,u) = a(x \ (y \ 1),z,u). [para(4894(a,1),2512(a,1,1))]. given #4267 (H,wt=17): 4901 R(x,y,(1 / z) / u) = R(x,y,z \ (u \ 1)). [para(4894(a,1),2619(a,1,3))]. given #4268 (H,wt=17): 4912 (((x \ y) \ x) \ 1) \ 1 = x / (y * (1 / x)). [hyper(29,a,3573,a,b,4910,a),flip(a)]. given #4269 (H,wt=15): 4913 x / (y * (1 / x)) = (x \ 1) \ (x / y). [hyper(58,a,4892,a(flip),b,4912,a),flip(a)]. given #4270 (H,wt=17): 4914 (1 / ((x \ 1) * y)) * x = (x \ 1) \ (x / y). [hyper(58,a,3344,a,b,4913,a)]. given #4271 (H,wt=17): 4915 (x \ 1) \ (x / (1 / y)) = ((y \ 1) \ x) * x. [para(4125(a,1),4914(a,1,1)),flip(a)]. given #4272 (H,wt=18): 4911 x / (x \ y) != x * z | T(y \ x,x \ y) = z. [para(4909(a,1),38(a,1))]. given #4273 (H,wt=19): 4198 ((x \ 1) \ (y \ 1)) \ (1 / z) = 1 / (z * (x / y)). [para(4191(a,1),4169(a,1,1))]. given #4274 (H,wt=19): 4264 x \ R(x,y,x) != z | K(x * y,x) * K(x,y) = z. [para(3638(a,1),1492(a,1))]. given #4275 (H,wt=19): 4265 L(x,y,y) != (y \ 1) * T(z,y) | z * (1 / y) = x. [para(3654(a,1),45(a,1)),flip(a)]. given #4276 (H,wt=19): 4269 (1 / x) \ (1 / ((x \ 1) \ y)) = x * (1 / (x * y)). [para(2967(a,1),3791(a,1,2,2)),flip(a)]. given #4277 (H,wt=13): 4918 T((x \ 1) / y,x) = 1 / (x * y). [hyper(215,a,3066,a(flip),b,4269,a(flip))]. given #4278 (H,wt=13): 4920 T(1 / (x * y),x) = (x \ 1) / y. [hyper(2782,a,4918,a)]. given #4279 (H,wt=13): 4925 ((x \ 1) / y) \ x = x * (x * y). [para(4920(a,1),2996(a,1,1))]. given #4280 (H,wt=15): 4917 ((x \ 1) / y) * x = x * (1 / (x * y)). [hyper(58,a,3066,a(flip),b,4269,a)]. given #4281 (H,wt=15): 4923 (x \ 1) / (x / y) = ((y / x) \ x) \ 1. [hyper(58,a,3494,a(flip),b,4920,a),flip(a)]. given #4282 (H,wt=17): 4921 (x \ (x / y)) * (1 / x) = T((x \ 1) / y,x). [hyper(272,a,4193,a,b,4918,a)]. given #4283 (H,wt=15): 4927 (x \ 1) * (x \ (x / y)) = (x \ 1) / y. [hyper(3413,a,4921,a(flip))]. given #4284 (H,wt=15): 4928 (x \ 1) \ ((x \ 1) / y) = x \ (x / y). [hyper(117,a,4927,a)]. given #4285 (H,wt=17): 4922 ((x \ 1) / y) * (x \ 1) = x \ (1 / (x * y)). [hyper(112,a,4918,a(flip),b,2843,a(flip)),flip(a)]. given #4286 (H,wt=17): 4926 x / (1 / (((x \ 1) / y) * x)) = (x \ y) \ 1. [para(4917(a,2),4721(a,1,2,2))]. given #4287 (H,wt=17): 4932 x * (((x \ 1) / y) / x) = (x \ (x / y)) / x. [hyper(113,a,4928,a(flip),b,3480,a),flip(a)]. given #4288 (H,wt=17): 4933 (x \ T(1 / x,y)) / y = x \ (1 / (x * y)). [hyper(58,a,4088,a,b,4922,a)]. given #4289 (H,wt=17): 4934 (x \ (y \ (x \ 1))) \ 1 = x / (1 / (y * x)). [para(72(a,1),4926(a,1,2,2,1)),flip(a)]. given #4290 (H,wt=17): 4935 (x \ (1 / (x * y))) * y = x \ T(1 / x,y). [hyper(125,a,4933,a)]. given #4291 (H,wt=17): 4936 ((x * y) \ 1) * (1 / y) = y \ (x \ (y \ 1)). [hyper(4174,a,4934,a)]. given #4292 (H,wt=18): 4930 (x \ 1) \ ((x \ 1) / y) != z | x \ (x / y) = z. [para(4927(a,1),287(a,1,2))]. given #4293 (H,wt=19): 4271 (1 / x) \ (y \ 1) != x * z | L(y,x,x) \ 1 = z. [para(3801(a,1),38(a,1))]. given #4294 (H,wt=19): 4272 x * (L(y,x,x) \ 1) != z | T((y \ 1) * x,x) = z. [para(3801(a,2),3090(a,1))]. given #4295 (H,wt=19): 4282 T(x * (y * (1 / x)),x) = x * (((x \ 1) \ 1) \ y). [para(4279(a,2),1228(a,2,2))]. given #4296 (H,wt=17): 4937 T(x * (y * (1 / x)),x) = K(x,x \ 1) * y. [hyper(272,a,3956,a(flip),b,4282,a),flip(a)]. given #4297 (H,wt=19): 4290 x \ R(x,y,x) != z | K(x,y) * K(x * y,x) = z. [para(4263(a,1),1495(a,1))]. given #4298 (H,wt=19): 4297 (x \ (y * T(x,z))) * (x \ 1) = (x \ y) * K(x,z). [hyper(3608,a,2739,a)]. given #4299 (H,wt=19): 4304 (x * (y * y)) * K(y,z) = y * ((y * x) * K(y,z)). [para(2840(a,1),4299(a,1,2,1)),flip(a)]. given #4300 (H,wt=19): 4305 (T(x,y) \ y) * K(y,z) = y * ((x \ 1) * K(y,z)). [para(2934(a,1),4299(a,1,2,1)),flip(a)]. given #4301 (H,wt=19): 4313 (T(x,y) * z) * K(x,u) = T(x,y) * (z * K(x,u)). [para(4309(a,1),450(a,1,1,1)),flip(a)]. given #4302 (H,wt=12): 4941 L(K(x,y),z,T(x,u)) = K(x,y). [hyper(2469,a,4313,a)]. given #4303 (H,wt=17): 4942 (T(x,y) * z) * K(x,y) = x * T(z,K(x,y)). [hyper(272,a,3730,a(flip),b,4313,a),flip(a)]. given #4304 (H,wt=19): 4324 T(x * y,y) * (y * z) = y * ((x * T(z,y)) * y). [para(2778(a,1),2815(a,1,2))]. given #4305 (H,wt=19): 4339 T((x * y) \ 1,y \ 1) = (y \ 1) * (T(x,y) \ 1). [para(98(a,1),3001(a,1,1,1))]. given #4306 (H,wt=17): 4946 T((x * y) \ 1,y \ 1) = (y / (x \ 1)) \ 1. [hyper(272,a,4025,a(flip),b,4339,a),flip(a)]. given #4307 (H,wt=19): 4348 (x * L(x \ 1,y,z)) \ x = 1 / L(x \ 1,y,z). [hyper(30,a,2506,a,b,4345,a),flip(a)]. given #4308 (H,wt=19): 4421 T(x * x,y) \ 1 != x \ z | x \ a(x,x,y) = z. [para(4420(a,1),42(a,1))]. given #4309 (H,wt=19): 4427 (x \ 1) * ((L(x,y,z) \ 1) \ 1) = a(x \ 1,z,y). [hyper(58,a,4021,a,b,4425,a)]. given #4310 (H,wt=17): 4948 L((x \ 1) \ 1,y,z) = (L(x,y,z) \ 1) \ 1. [hyper(29,a,1178,a(flip),b,4427,a)]. given #4311 (H,wt=16): 4950 (L(x,y,y) \ 1) \ 1 = y * ((x \ y) \ 1). [hyper(58,a,4098,a(flip),b,4948,a),flip(a)]. given #4312 (H,wt=16): 4957 (x * ((y \ x) \ 1)) \ 1 = 1 / L(y,x,x). [para(4950(a,1),2826(a,1,1))]. given #4313 (H,wt=17): 4951 1 / L((x \ 1) \ 1,y,z) = L(x,y,z) \ 1. [hyper(178,a,4948,a(flip))]. given #4314 (H,wt=16): 4959 1 / L(L(x,x,x),y,z) = L(x,y,z) \ 1. [para(2012(a,2),4951(a,1,2,1))]. given #4315 (H,wt=16): 4961 1 / L(L(x,y,z),x,x) = L(x,y,z) \ 1. [para(25(a,1),4959(a,1,2))]. given #4316 (H,wt=16): 4962 L(1 / L(x,y,z),x,x) = L(x,y,z) \ 1. [hyper(58,a,3790,a,b,4961,a)]. given #4317 (H,wt=17): 4953 (L(x \ 1,y,z) \ 1) \ 1 = L(1 / x,y,z). [para(2826(a,1),4948(a,1,1)),flip(a)]. given #4318 (H,wt=17): 4954 (x \ (y * y)) \ (y * y) = y * ((x \ y) \ 1). [hyper(58,a,3799,a,b,4950,a)]. given #4319 (H,wt=17): 4960 1 / L(1 / x,y,z) = L(x \ 1,y,z) \ 1. [para(2826(a,1),4951(a,1,2,1))]. given #4320 (H,wt=18): 4956 a(x,y * ((z \ y) \ 1),u) = a(x,L(z,y,y),u). [para(4950(a,1),2604(a,1,2))]. given #4321 (H,wt=19): 4428 (x \ 1) \ a(x \ 1,y,z) = (L(x,z,y) \ 1) \ 1. [hyper(112,a,4425,a(flip),b,4021,a)]. given #4322 (H,wt=19): 4430 (x * x) * (x * (x * y)) = x * (x * ((y * x) * x)). [para(3574(a,1),3104(a,1,2))]. given #4323 (H,wt=19): 4440 K(x,L(y \ 1,z,u) \ 1) = K(x,a(y,u,z) \ y). [para(1184(a,2),4431(a,1,2,1))]. given #4324 (H,wt=19): 4441 K(x,(T(y,z) * u) \ y) = K(x,(K(y,z) * u) \ 1). [para(2748(a,1),4431(a,1,2,1)),flip(a)]. given #4325 (H,wt=17): 4967 K(x,(T(y,z) * u) \ y) = K(x,u \ K(z,y)). [hyper(272,a,4443,a(flip),b,4441,a),flip(a)]. given #4326 (H,wt=17): 4968 K(x,(T(y,z) \ u) \ K(z,y)) = K(x,u \ y). [para(5(a,1),4967(a,1,2,1)),flip(a)]. given #4327 (H,wt=19): 4445 K(x,y) * (((y \ x) * K(x,y)) \ z) = (y \ x) \ z. [hyper(826,a,4444,a)]. given #4328 (H,wt=19): 4450 (x * y) * (x / (x * y)) = x * K(x * y,y \ 1). [para(4437(a,1),2985(a,1,2)),flip(a)]. given #4329 (H,wt=19): 4477 ((x * y) \ x) * T(z,y \ 1) = z * ((x * y) \ x). [hyper(114,a,4464,a(flip),b,17,a(flip))]. given #4330 (H,wt=19): 4502 K((x / (x * y)) \ 1,z) * (x * y) = x * T(y,z). [para(4(a,1),3169(a,2,2,1))]. given #4331 (H,wt=19): 4524 T(x * ((1 / y) * (1 / y)),y) = (y \ 1) * (x / y). [para(3431(a,2),3127(a,1,1))]. given #4332 (H,wt=19): 4531 x * (x * ((x \ 1) \ (y / x))) = ((x \ 1) \ y) * x. [hyper(58,a,3108,a,b,3504,a)]. given #4333 (H,wt=19): 4539 (x \ 1) * ((x \ 1) * (x \ y)) = (x \ (y / x)) / x. [para(684(a,1),3592(a,2,1))]. given #4334 (H,wt=19): 4547 T(x,y * ((1 / z) \ u)) = T(x,y * ((z \ 1) \ u)). [para(1942(a,1),3647(a,1,2,2)),flip(a)]. given #4335 (H,wt=19): 4554 T(x,K(T(y,z),z)) / T(y,z) = T(T(y,z) \ x,y). [para(2765(a,1),4553(a,2,2))]. given #4336 (H,wt=17): 4972 T(x,K(y,z)) / T(y,z) = T(T(y,z) \ x,y). [para(2892(a,1),4554(a,1,1,2))]. given #4337 (H,wt=19): 4555 (x \ (T(y,x) * (1 / x))) / x = x \ (x \ (y / x)). [para(3530(a,2),3723(a,1,1))]. given #4338 (H,wt=17): 4973 x \ (T(y,x) * (1 / x)) = y * (x \ (1 / x)). [hyper(32,a,4543,a,b,4555,a),flip(a)]. given #4339 (H,wt=17): 4974 x \ (((x \ 1) \ 1) \ y) = y * (x \ (1 / x)). [para(4279(a,2),4973(a,1,2))]. given #4340 (H,wt=17): 4975 (1 / x) * (y \ (1 / y)) = y \ (1 / (x * y)). [para(4281(a,1),4973(a,1,2)),flip(a)]. given #4341 (H,wt=19): 4564 (T(1 / x,y) \ (y * y)) \ 1 = y \ ((y * x) \ 1). [para(2996(a,1),4563(a,2,2,1))]. given #4342 (H,wt=17): 4977 (x * ((1 / y) \ x)) \ 1 = x \ ((x * y) \ 1). [para(3369(a,1),4564(a,1,1))]. given #4343 (H,wt=19): 4569 (((x \ 1) \ 1) \ y) / (x \ 1) = x * (y * (1 / x)). [hyper(113,a,3839,a(flip),b,378,a)]. given #4344 (H,wt=19): 4570 (1 / x) \ (((x \ 1) \ 1) \ y) = (y * (1 / x)) * x. [hyper(112,a,3839,a(flip),b,3033,a)]. given #4345 (H,wt=19): 4571 (x * ((y / z) / x)) * z = y * K(x,(x * z) \ y). [hyper(272,a,1527,a(flip),b,3840,a)]. given #4346 (H,wt=19): 4583 (x / (x / y)) * ((x / y) * z) = y * ((y \ x) * z). [para(3957(a,1),3158(a,2,2))]. given #4347 (H,wt=19): 4598 T((x * y) \ 1,y \ 1) = y \ (T(x,y \ 1) \ 1). [para(3033(a,1),4163(a,1,2,1)),flip(a)]. given #4348 (H,wt=17): 4981 x \ (T(y,x \ 1) \ 1) = (x / (y \ 1)) \ 1. [hyper(58,a,4946,a(flip),b,4598,a),flip(a)]. given #4349 (H,wt=19): 4601 (x * x) \ (1 / (x * y)) = x \ (1 / (x * (y * x))). [hyper(112,a,4189,a(flip),b,3527,a),flip(a)]. given #4350 (H,wt=19): 4602 (x * x) \ ((x / y) * (1 / x)) = x \ (1 / (x * y)). [hyper(58,a,3571,a,b,4199,a)]. given #4351 (H,wt=19): 4617 (x * (y / T(x,z))) * T(x,z) = (x * (y / x)) * x. [para(3697(a,1),4312(a,1,1,2)),flip(a)]. given #4352 (H,wt=17): 4984 (x * (y / T(x,z))) * T(x,z) = (x \ 1) \ y. [hyper(272,a,3480,a(flip),b,4617,a),flip(a)]. given #4353 (H,wt=17): 4985 (x \ 1) \ (y * T(x,z)) = (x * y) * T(x,z). [para(6(a,1),4984(a,1,1,2)),flip(a)]. given #4354 (H,wt=19): 4633 ((x / ((x * x) * y)) \ 1) \ x = x * (y \ (1 / x)). [para(4630(a,1),3446(a,2,2))]. given #4355 (H,wt=19): 4657 (x \ y) \ ((x \ y) \ z) = z * (((y / x) * y) \ x). [hyper(114,a,4389,a(flip),b,4383,a),flip(a)]. given #4356 (H,wt=19): 4658 ((x \ y) * (x \ y)) \ z = (((y / x) * y) \ x) * z. [para(4389(a,1),4373(a,1,1)),flip(a)]. given #4357 (H,wt=19): 4659 T((1 / x) \ y,x \ 1) * x = y * ((1 / x) \ x). [hyper(58,a,1972,a,b,4390,a)]. given #4358 (H,wt=15): 4992 (x / (1 / y)) * y = x * ((1 / y) \ y). [para(2770(a,1),4659(a,1,1))]. given #4359 (H,wt=15): 4993 (x * y) / (y \ 1) = x * ((1 / y) \ y). [hyper(58,a,2032,a,b,4992,a)]. given #4360 (H,wt=17): 4994 x \ (y * ((1 / x) \ x)) = T(y * x,x \ 1). [hyper(112,a,4993,a(flip),b,2779,a)]. given #4361 (H,wt=17): 4995 x \ (y * T(x * x,x)) = T(y * x,x \ 1). [para(2773(a,2),4994(a,1,2,2))]. given #4362 (H,wt=15): 4996 T(x * (y * x),x) = y * T(x * x,x). [hyper(33,a,2937,a,b,4995,a)]. given #4363 (H,wt=17): 4997 x * (y * T(y,y \ 1)) = T(y * (x * y),y). [para(2771(a,2),4996(a,2,2)),flip(a)]. given #4364 (H,wt=19): 4661 (x \ 1) * ((y / x) \ 1) = x * ((y / (1 / x)) \ 1). [hyper(114,a,4414,a(flip),b,3525,a),flip(a)]. given #4365 (H,wt=19): 4673 K(x,y) * (x * (z / x)) = (T(x,y) \ 1) * (z * x). [para(3541(a,1),4522(a,1,2))]. given #4366 (H,wt=17): 4999 (T(x,y) \ 1) * (z * x) = T(x,y) * (z / x). [hyper(3201,a,4673,a),flip(a)]. given #4367 (H,wt=19): 4695 T(x * T(x,y \ 1),y) = y * ((x * (y \ 1)) * x). [hyper(114,a,4692,a(flip),b,2789,a),flip(a)]. given #4368 (H,wt=19): 4696 ((1 / x) \ (y * T(y,x))) * x = x * ((y * x) * y). [para(4692(a,1),366(a,2,2))]. given #4369 (H,wt=19): 4698 x * ((1 / x) \ (y * T(y,x))) = ((y * x) * y) * x. [para(4692(a,1),2847(a,2,1))]. given #4370 (H,wt=19): 4703 (x * (x * (x * y))) * x = x * ((x * x) * (y * x)). [hyper(114,a,4560,a(flip),b,17,a(flip)),flip(a)]. given #4371 (H,wt=19): 4705 x \ (((x \ 1) \ 1) * y) = (x \ 1) * T(y * x,x). [hyper(272,a,3173,a,b,4588,a)]. given #4372 (H,wt=19): 4754 L(x * (1 / y),y,y) != z | (y \ 1) * T(x,y) = z. [para(1999(a,2),3094(a,1))]. given #4373 (H,wt=19): 4786 1 / (((1 / x) * y) * y) = y \ (y \ ((x \ 1) \ 1)). [para(2898(a,1),4785(a,2,2,2))]. given #4374 (H,wt=17): 5001 x \ (x \ ((y \ 1) \ 1)) = 1 / ((x * x) / y). [para(3029(a,1),4786(a,1,2)),flip(a)]. given #4375 (H,wt=15): 5002 (1 / (x / y)) / x = 1 / ((x * x) / y). [hyper(58,a,4194,a(flip),b,5001,a)]. given #4376 (H,wt=19): 4788 x \ (x \ (1 / ((x * y) \ x))) = 1 / ((y \ x) * x). [para(3299(a,1),4785(a,1,2,1)),flip(a)]. given #4377 (H,wt=19): 4803 (x * ((y \ 1) * (y \ 1))) * y = T((1 / y) * x,y). [para(4115(a,1),2960(a,1,1,2))]. given #4378 (H,wt=17): 5004 (x * (y \ (1 / y))) * y = T((1 / y) * x,y). [para(684(a,1),4803(a,1,1,2))]. given #4379 (H,wt=17): 5005 (1 / x) * ((1 / x) * y) = y * (x \ (1 / x)). [hyper(30,a,365,a(flip),b,5004,a)]. given #4380 (H,wt=19): 4804 x * (y * (y * (x \ T(x,z)))) = y * (y * T(x,z)). [hyper(272,a,2956,a(flip),b,3022,a),flip(a)]. given #4381 (H,wt=17): 5009 x * (y * (y * K(x,z))) = y * (y * T(x,z)). [para(2672(a,2),4804(a,1,2,2,2))]. given #4382 (H,wt=15): 5010 x * (y * (y * K(x,y))) = y * (x * y). [para(98(a,1),5009(a,2,2))]. given #4383 (H,wt=13): 5011 x * (y * T(y,x)) = y * (x * y). [para(2652(a,2),5010(a,1,2,2))]. given #4384 (H,wt=13): 5012 x \ (y * (x * y)) = y * T(y,x). [hyper(117,a,5011,a)]. given #4385 (H,wt=16): 5021 x \ y != z * T(z,x) | z * (x * z) = y. [para(5012(a,1),42(a,1)),flip(a)]. given #4386 (H,wt=17): 5013 (x \ y) * T(x \ y,x) = x \ ((x \ y) * y). [hyper(112,a,137,a(flip),b,5011,a),flip(a)]. given #4387 (H,wt=15): 5026 x \ ((x \ y) * y) = (x \ y) * (y / x). [para(2775(a,1),5013(a,1,2)),flip(a)]. given #4388 (H,wt=15): 5028 x * ((x \ y) * (y / x)) = (x \ y) * y. [hyper(127,a,5026,a)]. given #4389 (H,wt=16): 5029 (x \ 1) * (1 / x) != y | x \ (x \ 1) = y. [para(5026(a,1),292(a,1))]. given #4390 (H,wt=17): 5017 T(1 / (x * T(x,y)),y) = y / (x * (y * x)). [para(5011(a,1),3031(a,2,2))]. given #4391 (H,wt=17): 5027 (x / y) * T(x / y,y) = y \ ((y \ x) * x). [hyper(272,a,303,a,b,5026,a)]. given #4392 (H,wt=15): 5033 (x / y) * (y * (x / y)) = (y \ x) * x. [hyper(5021,a,5027,a(flip))]. given #4393 (H,wt=18): 5032 x \ ((x \ y) * y) != z | (x \ y) * (y / x) = z. [para(5028(a,1),287(a,1,2))]. given #4394 (H,wt=19): 4808 (x \ 1) * ((y * (x \ 1)) \ 1) = x * ((y * x) \ 1). [hyper(272,a,4344,a(flip),b,3052,a),flip(a)]. given #4395 (H,wt=17): 5036 (x * x) * ((y * x) \ 1) = (y * (x \ 1)) \ 1. [hyper(3564,a,4808,a)]. given #4396 (H,wt=19): 4813 ((1 / x) \ y) * ((1 / x) \ y) = (y * x) * (y * x). [hyper(3876,a,3161,a)]. given #4397 (H,wt=19): 4819 K(x,L(y \ 1,z,u) \ 1) = L(K(y,x),z,u) \ 1. [para(4818(a,1),2878(a,1,1)),flip(a)]. given #4398 (H,wt=19): 4821 (x * (x * (x * x))) * y = x * (x * (y * (x * x))). [para(2956(a,1),3253(a,1,1))]. given #4399 (H,wt=19): 4822 ((x * (x * y)) * (x * x)) / y = x * (x * (x * x)). [para(2956(a,1),3289(a,1,1,1))]. given #4400 (H,wt=19): 4827 ((x * y) * x) * (x * y) = (x * x) * (x * (y * y)). [hyper(1256,a,3459,a)]. given #4401 (H,wt=19): 4828 (x * ((y * z) * z)) / y = y * (z * (z * (y \ x))). [hyper(3016,a,3479,a),flip(a)]. given #4402 (H,wt=19): 4830 T(x \ (x \ (1 / y)),x \ 1) = (x \ 1) / (x * y). [para(4787(a,1),3558(a,1,1))]. given #4403 (H,wt=17): 5042 x \ T(x \ (1 / y),x) = (x \ 1) / (x * y). [hyper(58,a,2936,a(flip),b,4830,a)]. given #4404 (H,wt=15): 5043 (x \ 1) / (x * y) = x \ ((1 / y) / x). [para(2775(a,1),5042(a,1,2)),flip(a)]. given #4405 (H,wt=19): 4831 (x \ (x \ (x \ y))) * x = (x \ 1) * (y * (1 / x)). [hyper(272,a,2828,a,b,3583,a)]. given #4406 (H,wt=19): 4848 (x * y) \ ((x * y) / (y \ 1)) = x \ (x / (1 / y)). [hyper(272,a,3832,a(flip),b,3825,a),flip(a)]. given #4407 (H,wt=19): 4850 x \ (y \ ((z \ (y * x)) * z)) = K((z / y) \ x,z). [para(2549(a,1),3846(a,1,2))]. given #4408 (H,wt=15): 5045 K((x / y) \ z,x) = K((y \ x) \ z,x). [hyper(58,a,3847,a(flip),b,4850,a),flip(a)]. given #4409 (H,wt=19): 4856 T(x,y \ (y \ (1 / z))) = T(x,y \ (y \ (z \ 1))). [para(4785(a,1),4049(a,1,2))]. given #4410 (H,wt=19): 4872 (x * x) \ ((y * x) \ 1) = x \ ((x * y) \ (1 / x)). [hyper(112,a,4871,a(flip),b,3527,a),flip(a)]. given #4411 (H,wt=19): 4873 (x * (y * (y * x))) \ 1 = y \ (y \ (x \ (x \ 1))). [para(3080(a,1),4052(a,2,2,2))]. given #4412 (H,wt=19): 4878 x / ((L(x,y,z) \ 1) * x) = (L(x,y,z) \ 1) \ 1. [para(2853(a,2),4139(a,1,2))]. given #4413 (H,wt=19): 4882 ((x \ y) * (x \ y)) * (x * x) = (y * x) * (y / x). [para(3251(a,1),4143(a,2,1))]. given #4414 (H,wt=19): 4887 T((1 / (1 / x)) * y,z) \ z = z * ((y \ 1) / x). [para(2898(a,2),4184(a,1,1,1,1))]. given #4415 (H,wt=19): 4904 ((x \ (y \ 1)) \ z) \ 1 = (z \ 1) * ((1 / x) / y). [para(4894(a,1),4021(a,1,2)),flip(a)]. given #4416 (H,wt=19): 4919 (1 / x) \ ((x / (1 / y)) \ 1) = x * (1 / (x * y)). [para(4201(a,1),4269(a,1,2))]. given #4417 (H,wt=19): 4929 ((x * y) \ 1) * ((x * y) \ x) = ((x * y) \ 1) / y. [para(6(a,1),4927(a,1,2,2))]. given #4418 (H,wt=19): 4939 (T(x,y) * K(y,z)) * (y \ 1) = (y \ x) * K(y,z). [para(4609(a,1),4297(a,1,1))]. given #4419 (H,wt=19): 4940 (x * (y * y)) * K(y,z) = y * (y * (x * K(y,z))). [para(4303(a,1),4304(a,2,2))]. given #4420 (H,wt=19): 4958 (x * ((y \ x) \ 1)) \ 1 != z | 1 / L(y,x,x) = z. [para(4950(a,1),2988(a,1,1))]. given #4421 (H,wt=19): 4963 (x \ 1) * (L(x,y,z) \ 1) = x \ (1 / L(x,y,z)). [hyper(114,a,4962,a(flip),b,2013,a)]. given #4422 (H,wt=19): 4964 (1 / x) \ (L(x,y,z) \ 1) = x * (1 / L(x,y,z)). [hyper(112,a,4962,a(flip),b,3118,a)]. given #4423 (H,wt=19): 4969 T((1 / x) * ((1 / x) * y),x) = (x \ 1) * (y / x). [para(2956(a,1),4524(a,1,1))]. given #4424 (H,wt=19): 4970 (x \ 1) * (x \ ((1 / x) * y)) = (x \ (y / x)) / x. [para(1155(a,2),4539(a,1,2))]. given #4425 (H,wt=19): 4971 T(x,y * (((z \ 1) \ 1) \ u)) = T(x,y * (z \ u)). [para(72(a,1),4547(a,1,2,2,1)),flip(a)]. given #4426 (H,wt=19): 4979 (1 / x) \ (((x \ 1) \ 1) \ y) = T(T(y,x \ 1),x). [hyper(272,a,1985,a,b,4570,a),flip(a)]. given #4427 (H,wt=15): 5058 (((x \ 1) \ 1) \ y) * x = T(y,x \ 1). [hyper(2921,a,4979,a(flip))]. given #4428 (H,wt=19): 4980 ((x \ y) \ y) * ((y / x) * z) = x * ((x \ y) * z). [para(2898(a,1),4583(a,1,1))]. given #4429 (H,wt=19): 4982 (x * x) \ (1 / (x * (y / x))) = x \ (1 / (x * y)). [para(7(a,1),4601(a,2,2,2,2))]. given #4430 (H,wt=15): 5061 1 / (x * (y / x)) = (x / y) * (1 / x). [hyper(33,a,4602,a,b,4982,a),flip(a)]. given #4431 (H,wt=15): 5062 ((x / y) * (1 / x)) \ 1 = x * (y / x). [hyper(172,a,5061,a)]. given #4432 (H,wt=19): 4988 ((x \ (x \ (x / y))) \ 1) \ x = x * (y \ (1 / x)). [para(3785(a,1),4633(a,1,1,1))]. given #4433 (H,wt=19): 4990 (x \ y) \ ((x \ y) \ z) = z * (y \ ((y / x) \ x)). [para(4660(a,1),4657(a,2,2))]. given #4434 (H,wt=19): 4991 ((x \ y) * (x \ y)) \ z = (y \ ((y / x) \ x)) * z. [para(4660(a,1),4658(a,2,1))]. given #4435 (H,wt=19): 4998 ((1 / x) * y) \ (x \ 1) = x * ((y / (1 / x)) \ 1). [hyper(58,a,3055,a,b,4661,a)]. given #4436 (H,wt=19): 5003 x \ (x \ ((x * (1 / y)) \ x)) = 1 / ((y \ x) * x). [para(4530(a,1),4788(a,1,2,2))]. given #4437 (H,wt=17): 5065 (x * (1 / y)) \ (x \ 1) = 1 / ((y \ x) * x). [hyper(4360,a,5003,a)]. given #4438 (H,wt=19): 5006 T(x * (y \ (1 / y)),y \ 1) = ((1 / y) * x) / y. [para(5005(a,1),1979(a,1,1))]. given #4439 (H,wt=19): 5014 (x * y) * (x * (x * y)) = x * ((x * (y * y)) * x). [para(1158(a,1),5011(a,1,2)),flip(a)]. given #4440 (H,wt=19): 5015 (1 / x) * (y * T(y,x \ 1)) = y * ((1 / x) * y). [para(1967(a,1),5011(a,1,2,2))]. given #4441 (H,wt=19): 5020 T(x,(y * T(y,z)) \ 1) = T(x,(y * (z * y)) \ z). [para(5011(a,1),4464(a,1,2,1)),flip(a)]. given #4442 (H,wt=19): 5030 ((x * y) \ x) * (x / (x * y)) = (x * y) \ (y \ x). [para(3299(a,1),5026(a,1,2)),flip(a)]. given #4443 (H,wt=19): 5037 (((x \ 1) * y) * x) \ 1 = x \ (y \ ((x \ 1) \ 1)). [hyper(112,a,4346,a(flip),b,4808,a(flip)),flip(a)]. given #4444 (H,wt=19): 5039 (x * (x * (x * (x * y)))) / y = x * (x * (x * x)). [para(2956(a,1),4822(a,1,1))]. given #4445 (H,wt=19): 5041 (x * ((y * y) * z)) / z = z * (y * (y * (z \ x))). [hyper(58,a,3776,a(flip),b,4828,a)]. given #4446 (H,wt=15): 5073 x * (y * (y * (x \ y))) = y * (y * y). [hyper(4514,a,5041,a),flip(a)]. given #4447 (H,wt=19): 5044 (x * y) \ (x * ((1 / y) \ y)) = x \ (x / (1 / y)). [para(4993(a,1),4848(a,1,2))]. given #4448 (H,wt=18): 5076 L(T(1 / x,x) \ 1,x,y) = y \ (y / (1 / x)). [hyper(58,a,3043,a(flip),b,5044,a)]. given #4449 (H,wt=16): 5078 L((x \ 1) \ 1,x,y) = y \ (y / (1 / x)). [para(100(a,1),5076(a,1,1,1))]. given #4450 (H,wt=16): 5079 (L(x,x,y) \ 1) \ 1 = y \ (y / (1 / x)). [hyper(58,a,4948,a(flip),b,5078,a)]. given #4451 (H,wt=12): 5080 L(x,x,y) \ 1 = (y * x) \ y. [hyper(34,a,3832,a,b,5079,a),flip(a)]. given #4452 (H,wt=16): 5081 L(x,x,y) \ 1 = y \ (y / ((x \ 1) \ 1)). [hyper(272,a,4121,a,b,5080,a),flip(a)]. given #4453 (H,wt=12): 5083 L(x,x,y) = y \ (y / (x \ 1)). [hyper(34,a,3548,a,b,5081,a),flip(a)]. given #4454 (H,wt=12): 5084 L(x,x,y) = (y \ (y / x)) \ 1. [hyper(34,a,1786,a,b,5081,a),flip(a)]. given #4455 (H,wt=12): 5087 x \ (x / y) = 1 / L(y,y,x). [hyper(178,a,5084,a(flip)),flip(a)]. given #4456 (H,wt=12): 5088 x * (1 / L(y,y,x)) = x / y. [hyper(127,a,5087,a)]. given #4457 (H,wt=15): 5085 L(x \ 1,x \ 1,y) = L(x,x,y) \ 1. [hyper(272,a,5081,a,b,5083,a),flip(a)]. given #4458 (H,wt=15): 5089 L(x \ 1,1 / x,y) = L(x,x,y) \ 1. [hyper(58,a,2461,a,b,5085,a)]. given #4459 (H,wt=17): 5082 L(T(x \ 1,y),x,z) = T(L(x,x,z) \ 1,y). [para(5080(a,2),330(a,1,1)),flip(a)]. given #4460 (H,wt=18): 5086 x \ a(x,y,x \ 1) = y \ (y / ((x \ 1) \ 1)). [hyper(58,a,1184,a(flip),b,5083,a)]. given #4461 (H,wt=14): 5090 (x * y) \ x = y \ a(y,x,y \ 1). [hyper(272,a,4121,a(flip),b,5086,a)]. given #4462 (H,wt=19): 5046 (x * K((y \ z) \ u,z)) \ x = K(z,(z / y) \ u). [para(5045(a,1),3899(a,1,1,2))]. given #4463 (H,wt=15): 5091 K(x,(x / y) \ z) = K(x,(y \ x) \ z). [hyper(3924,a,5046,a),flip(a)]. given #4464 (H,wt=15): 5092 K(x,((y \ x) \ x) \ z) = K(x,y \ z). [para(72(a,1),5091(a,1,2,1)),flip(a)]. given #4465 (H,wt=19): 5047 (x * x) \ ((y * x) \ 1) = x \ ((y \ (x \ 1)) / x). [para(4648(a,2),4872(a,2,2))]. given #4466 (H,wt=19): 5049 x * (x * ((x \ y) * (x \ y))) = (y * x) * (y / x). [hyper(3013,a,4882,a)]. given #4467 (H,wt=15): 5094 (x * y) * (x / y) = y * ((x / y) * x). [para(4085(a,1),5049(a,1,2)),flip(a)]. given #4468 (H,wt=19): 5051 (1 / x) \ ((x / y) \ 1) = x * (1 / (x * (y \ 1))). [para(72(a,1),4919(a,1,2,1,2))]. given #4469 (H,wt=19): 5052 (x / (y \ 1)) * T(y,z) = y * (y * (x * K(y,z))). [hyper(58,a,3686,a,b,4940,a)]. given #4470 (H,wt=17): 5096 (x / (y \ 1)) * T(y,z) = x * (y * T(y,z)). [hyper(272,a,4739,a(flip),b,5052,a),flip(a)]. given #4471 (H,wt=19): 5056 (x \ (1 / x)) * ((1 / x) * y) = (x \ (y / x)) / x. [hyper(58,a,3787,a,b,4970,a)]. given #4472 (H,wt=19): 5057 T(x,y * ((z \ u) \ u)) = T(x,y * (u * (z / u))). [para(3833(a,1),4971(a,1,2,2)),flip(a)]. given #4473 (H,wt=19): 5063 ((x * x) * ((x / y) \ 1)) \ x = x * (y \ (1 / x)). [para(4416(a,1),4988(a,1,1))]. given #4474 (H,wt=17): 5098 ((x / y) \ 1) \ (1 / x) = x * (y \ (1 / x)). [hyper(4636,a,5063,a)]. given #4475 (H,wt=17): 5099 x * ((y \ x) \ (1 / x)) = (y \ 1) \ (1 / x). [para(72(a,1),5098(a,1,1,1)),flip(a)]. given #4476 (H,wt=17): 5100 x \ ((y \ 1) \ (1 / x)) = (y \ x) \ (1 / x). [hyper(117,a,5099,a)]. given #4477 (H,wt=19): 5066 T(x * (y \ (1 / y)),y \ 1) = (y \ x) * (1 / y). [hyper(272,a,3125,a(flip),b,5006,a),flip(a)]. given #4478 (H,wt=19): 5067 (x * y) * (x * (x * y)) = x * (x * ((y * y) * x)). [para(3437(a,1),5014(a,2,2))]. given #4479 (H,wt=19): 5068 T(x * T(x,y \ 1),y) = (x * ((1 / y) * x)) * y. [para(5015(a,1),365(a,2,1))]. given #4480 (H,wt=19): 5071 T(x,(y * (z * y)) \ z) = T(x,y \ (T(y,z) \ 1)). [para(4048(a,1),5020(a,1,2)),flip(a)]. given #4481 (H,wt=19): 5072 (x * (y * (1 / x))) \ 1 = x \ (y \ ((x \ 1) \ 1)). [para(3342(a,1),5037(a,1,1))]. given #4482 (H,wt=17): 5107 x * (x * (y \ (1 / x))) = y \ ((x \ 1) \ 1). [hyper(114,a,4866,a(flip),b,5072,a(flip))]. given #4483 (H,wt=17): 5108 x * (x * (y \ (1 / x))) = y \ T(x,x \ 1). [hyper(272,a,265,a,b,5107,a),flip(a)]. given #4484 (H,wt=19): 5075 (x * y) * (x \ (x / (1 / y))) = x * ((1 / y) \ y). [hyper(127,a,5044,a)]. given #4485 (H,wt=19): 5093 (((x * y) \ 1) / y) / y = y \ ((x \ (y \ 1)) / y). [hyper(3627,a,5047,a)]. given #4486 (H,wt=17): 5111 (x \ 1) * (y \ (x \ 1)) = ((y * x) \ 1) / x. [hyper(32,a,3582,a,b,5093,a)]. given #4487 (H,wt=17): 5112 (((x \ 1) \ y) * x) \ 1 = ((y * x) \ 1) / x. [hyper(58,a,4179,a,b,5111,a)]. given #4488 (H,wt=17): 5113 (((x \ 1) * y) \ 1) / y = ((x / y) \ y) \ 1. [para(4670(a,1),5112(a,1,1)),flip(a)]. given #4489 (H,wt=19): 5095 (1 / x) \ ((x / y) \ 1) = x * ((1 / y) \ (1 / x)). [para(4096(a,1),5051(a,2,2))]. given #4490 (H,wt=16): 5114 L(x / y,x,x) \ 1 = (1 / y) \ (1 / x). [hyper(4271,a,5095,a)]. given #4491 (H,wt=19): 5097 (x / (y \ 1)) * T(y,y \ 1) = T(y * (x * y),y). [hyper(272,a,4997,a(flip),b,5096,a),flip(a)]. given #4492 (H,wt=15): 5115 (x \ 1) \ (y / (x \ 1)) = x * (y * x). [hyper(1993,a,5097,a(flip))]. given #4493 (H,wt=19): 5105 (x * ((1 / y) * x)) * y = y * ((x * (y \ 1)) * x). [hyper(58,a,4695,a(flip),b,5068,a),flip(a)]. given #4494 (H,wt=19): 5109 (x * y) \ ((x \ 1) \ 1) = x * ((y / (1 / x)) \ 1). [para(4867(a,1),5107(a,1,2)),flip(a)]. given #4495 (H,wt=20): 2861 T(T(x,y) \ 1,x \ T(x,z)) != u | T(x,y) \ 1 = u. [para(1345(a,1),2810(a,1,1))]. given #4496 (H,wt=18): 5117 (x \ T(x,y)) \ (x \ 1) != z | T(x,y) \ 1 = z. [para(1574(a,1),2861(a,1))]. given #4497 (H,wt=20): 2871 R(x / y,y,K(z,x)) \ ((z * x) / z) = y * K(z,x). [para(2684(a,2),446(a,1,2))]. given #4498 (H,wt=20): 2930 L(x \ T(y,z),x,1 / z) = ((1 / z) * x) \ (y / z). [para(2780(a,1),89(a,2,2))]. given #4499 (H,wt=20): 2950 L(x * (y / x),x \ y,x \ y) = ((x \ y) \ 1) \ x. [para(2828(a,1),2002(a,1,1))]. given #4500 (H,wt=20): 3099 (L(x,y,z) \ 1) * x != u | x * (1 / L(x,y,z)) = u. [para(2525(a,1),2808(a,1,1))]. given #4501 (H,wt=20): 3111 (x * x) * (x * y) != z | x * (x * ((x \ 1) \ y)) = z. [para(2967(a,1),251(a,1,2))]. given #4502 (H,wt=20): 3152 x \ y != z * T(z \ 1,u) | x * K(u,z \ 1) = y. [para(2653(a,1),286(a,2,2))]. given #4503 (H,wt=20): 3171 x * T(x \ 1,y) != z * u | K(x \ 1,y) / u = z. [para(2675(a,1),283(a,1,2))]. given #4504 (H,wt=20): 3178 x \ (T(x,y) * z) != u * w | u \ (K(x,y) * z) = w. [para(2687(a,1),285(a,1,2))]. given #4505 (H,wt=20): 3207 (K(x,y) * z) / T(x,y) != u | T(x \ z,T(x,y)) = u. [para(2749(a,1),2785(a,1,1))]. given #4506 (H,wt=20): 3214 K(x,y) \ (T(x,y) * z) != u * w | (x * z) / w = u. [para(2750(a,1),499(a,1,2))]. given #4507 (H,wt=20): 3216 T(x,y) * (x \ z) != u * w | (K(x,y) * z) / w = u. [para(2750(a,1),498(a,1))]. given #4508 (H,wt=20): 3217 T(x,y) * (x \ z) != u * w | u \ (K(x,y) * z) = w. [para(2750(a,1),518(a,1))]. given #4509 (H,wt=20): 3235 ((x * y) \ x) * (x \ 1) != z | x \ (T(y,x) \ 1) = z. [para(2822(a,1),690(a,1,1))]. given #4510 (H,wt=20): 3385 (x * x) * (1 / y) != z * u | z \ ((x * x) / y) = u. [para(3330(a,1),341(a,1,2))]. given #4511 (H,wt=20): 3415 (x \ 1) * (y / (1 / x)) != z * u | z \ T(y,x) = u. [para(3348(a,1),341(a,1,2))]. given #4512 (H,wt=20): 3420 x \ y != (z * z) * ((1 / z) * u) | x * (z * u) = y. [para(3353(a,1),286(a,2,2))]. given #4513 (H,wt=20): 3421 (x * x) * ((1 / x) * y) != z * u | z \ (x * y) = u. [para(3353(a,1),341(a,1,2))]. given #4514 (H,wt=20): 3432 x \ y != (z * (u * u)) / u | x * (z / (u \ 1)) = y. [para(3370(a,1),538(a,2,1))]. given #4515 (H,wt=18): 5122 T(x * y,x) != z \ u | z * (y / (x \ 1)) = u. [para(2961(a,1),3432(a,2)),flip(a)]. given #4516 (H,wt=20): 3454 L(x,y,z) * (1 / x) != u | (x \ 1) * L(x,y,z) = u. [para(3451(a,1),248(a,1,2))]. given #4517 (H,wt=20): 3468 x * ((y \ x) \ x) != z * u | ((y \ 1) \ x) / u = z. [para(3449(a,1),283(a,1,2))]. given #4518 (H,wt=20): 3493 ((x \ y) \ 1) * (y \ 1) != z | y \ (1 / (y / x)) = z. [para(3469(a,1),690(a,1,1))]. given #4519 (H,wt=20): 3506 (x * (y / x)) * x != z * u | z \ ((x \ 1) \ y) = u. [para(3481(a,1),282(a,1,1))]. given #4520 (H,wt=20): 3507 x \ y != (z * (u / z)) * z | x * ((z \ 1) \ u) = y. [para(3481(a,1),505(a,2,1))]. given #4521 (H,wt=20): 3545 ((x \ 1) \ y) \ y != z \ u | z * (1 / T(x,y)) = u. [para(3511(a,1),506(a,1,1))]. given #4522 (H,wt=20): 3557 x \ y != (z \ 1) * ((z * z) * u) | x * (z * u) = y. [para(3523(a,1),286(a,2,2))]. given #4523 (H,wt=20): 3566 x * ((x \ y) / x) != z * u | (y * (1 / x)) / u = z. [para(3530(a,1),283(a,1,2))]. given #4524 (H,wt=20): 3567 x \ y != z * ((z \ u) / z) | x * (u * (1 / z)) = y. [para(3530(a,1),286(a,2,2))]. given #4525 (H,wt=20): 3578 (1 / x) * (y / (1 / x)) != z | x * (y * (1 / x)) = z. [para(3541(a,1),533(a,1))]. given #4526 (H,wt=20): 3599 T(T(x,y) \ 1,y \ 1) != z | (y \ x) \ (y \ 1) = z. [para(678(a,2),2913(a,1,1,1))]. given #4527 (H,wt=20): 3614 x * (y \ (1 / y)) != z | (y \ 1) * ((y \ 1) * x) = z. [para(684(a,1),3013(a,1,2))]. given #4528 (H,wt=20): 3626 (x \ (x \ y)) / x != z | (x * x) \ (y * (1 / x)) = z. [para(3534(a,1),3269(a,1,1))]. given #4529 (H,wt=20): 3631 x / (x \ (x \ y)) != x * z | x / (y * (1 / x)) = z. [para(3534(a,1),3325(a,1,2))]. given #4530 (H,wt=20): 3650 L(x,y,z) * K(u,L(x,y,z)) = L(x * K(u,x),y,z). [hyper(2761,a,2759,a)]. given #4531 (H,wt=20): 3657 (x * (y / x)) * x != z | x * (x * ((1 / x) * y)) = z. [para(2844(a,1),2808(a,1,1))]. given #4532 (H,wt=20): 3694 (x * y) * K(y,z) != u * w | u \ (x * T(y,z)) = w. [para(3674(a,1),341(a,1,2))]. given #4533 (H,wt=20): 3746 x * (((x \ 1) \ y) * x) != z | (x * (x * y)) * x = z. [para(3144(a,1),248(a,1,2))]. given #4534 (H,wt=20): 3757 x * T(x \ y,z) != y * u | T(K(y / x,z),y) = u. [para(3175(a,1),216(a,2)),flip(a)]. given #4535 (H,wt=20): 3897 L(x \ (K(y,z) * u),x,K(z,y)) = (K(z,y) * x) \ u. [para(3880(a,1),89(a,2,2))]. given #4536 (H,wt=20): 3902 L(K(x,y) * (z \ u),K(y,x),z) = (z * K(y,x)) \ u. [para(3882(a,1),254(a,1,1))]. given #4537 (H,wt=20): 3925 R((x * K(y,z)) / u,u,K(z,y)) = x / (u * K(z,y)). [para(3905(a,1),258(a,1,1,1))]. given #4538 (H,wt=20): 3926 R(x * K(y,z),K(z,y),u) \ (x * u) = K(z,y) * u. [para(3905(a,1),446(a,1,1,1))]. given #4539 (H,wt=19): 5126 (x * K(y,z)) \ (x * T(y,u)) = K(z,y) * T(y,u). [para(4794(a,1),3926(a,1,1))]. given #4540 (H,wt=19): 5127 x / (K(y,z) * T(z,u)) = (x / T(z,u)) * K(z,y). [para(5126(a,1),273(a,1,2))]. given #4541 (H,wt=18): 5128 (x / T(y,z)) * K(y,y * z) = x / R(y,z,y). [para(3177(a,1),5127(a,1,2)),flip(a)]. given #4542 (H,wt=18): 5129 (x / T(y,y * z)) * K(y,z) = x / L(y,z,y). [para(3595(a,1),5127(a,1,2)),flip(a)]. given #4543 (H,wt=16): 5131 K(x * y,x) * K(x,y) = x / L(x,y,x). [para(2670(a,2),5129(a,1,1))]. given #4544 (H,wt=13): 5133 x / L(x,y,x) = x \ R(x,y,x). [hyper(58,a,4263,a(flip),b,5131,a),flip(a)]. given #4545 (H,wt=13): 5134 (x \ R(x,y,x)) \ x = L(x,y,x). [hyper(172,a,5133,a)]. given #4546 (H,wt=16): 5135 x \ R(x,y,x) != z | L(x,y,x) \ x = z. [para(5133(a,1),2500(a,1))]. given #4547 (H,wt=20): 3962 x \ y != z * (T(z,u) \ w) | x * (K(u,z) * w) = y. [para(3892(a,1),286(a,2,2))]. given #4548 (H,wt=20): 3964 K(x,y) * (T(y,x) * z) != u * w | u \ (y * z) = w. [para(3900(a,1),282(a,1,1))]. given #4549 (H,wt=20): 3965 x \ y != K(z,u) * (T(u,z) * w) | x * (u * w) = y. [para(3900(a,1),505(a,2,1))]. given #4550 (H,wt=20): 3968 x \ y != z * (T(z,u) \ w) | x * (K(z,u) * w) = y. [para(3908(a,1),286(a,2,2))]. given #4551 (H,wt=20): 3976 K(x,y) * z != u * y | T(u * T(y,x),K(x,y)) = z. [para(3913(a,1),216(a,2))]. given #4552 (H,wt=20): 3978 (x * T(y,z)) * K(z,y) != u * w | (x * y) / w = u. [para(3922(a,1),467(a,1,1))]. given #4553 (H,wt=20): 3994 x / (y / T(x,z)) != x * u | x / (y * K(x,z)) = u. [para(3934(a,1),3325(a,1,2))]. given #4554 (H,wt=20): 4010 (x * K(y,z)) / y != u * w | u \ (x / T(y,z)) = w. [para(3990(a,1),492(a,1,1))]. given #4555 (H,wt=20): 4090 (x * T(x,y)) / y != z * u | z \ ((x / y) * x) = u. [para(4084(a,1),492(a,1,1))]. given #4556 (H,wt=20): 4238 x * T(K(x,y),z) != u | T(x,y) * K(K(x,y),z) = u. [para(2674(a,2),3192(a,1,2))]. given #4557 (H,wt=20): 4261 (x \ y) \ (x / y) != z | (x / y) * T(x / y,x) = z. [para(3041(a,1),3617(a,1,1))]. given #4558 (H,wt=20): 4327 R(x * K(y,x),z,u) \ R(x,z,u) = K(R(x,z,u),y). [para(2872(a,2),2824(a,2,1)),flip(a)]. given #4559 (H,wt=20): 4404 (x \ y) * K(x,z \ (z \ 1)) = T(y / L(x,z,z),x). [para(4401(a,1),4300(a,1,1,2)),flip(a)]. given #4560 (H,wt=20): 4418 x * ((1 / y) \ y) != z | (y \ 1) \ ((y \ 1) \ x) = z. [para(3653(a,1),4393(a,1,2))]. given #4561 (H,wt=20): 4461 K(x,(y \ z) \ 1) != u \ w | u * K(x,z \ y) = w. [para(4432(a,2),4204(a,1))]. given #4562 (H,wt=20): 4465 T(x,(y * (z * u)) \ (y * z)) = T(x,L(u,z,y) \ 1). [para(13(a,2),4459(a,1,2,1)),flip(a)]. given #4563 (H,wt=20): 4475 (x \ y) * T(z,y \ x) != u | z / ((x \ y) \ 1) = u. [para(4459(a,1),3245(a,1,2))]. given #4564 (H,wt=20): 4492 K(x,(K(y,z) * u) \ 1) != w | K(x,u \ K(z,y)) = w. [para(3882(a,1),4460(a,1,2,1))]. given #4565 (H,wt=20): 4493 T(x,(K(y,z) * u) \ 1) != w | T(x,u \ K(y,z)) = w. [para(3901(a,1),4488(a,1,2,1))]. given #4566 (H,wt=20): 4573 x \ T(x * y,z) != y * u | K((x \ 1) \ y,z) = u. [para(3844(a,2),38(a,1))]. given #4567 (H,wt=20): 4628 ((x * y) \ 1) * (y \ 1) != z | y \ (x \ (1 / y)) = z. [para(4621(a,1),690(a,1,1))]. given #4568 (H,wt=20): 4640 (x * x) \ (x / y) != z * u | z \ ((1 / x) / y) = u. [para(4635(a,1),285(a,1,2))]. given #4569 (H,wt=20): 4643 x \ y != (z * z) * ((1 / z) / u) | x * (z / u) = y. [para(4638(a,1),286(a,2,2))]. given #4570 (H,wt=20): 4681 x \ (x \ (y / x)) != z / x | y * (x \ (1 / x)) = z. [para(4543(a,1),41(a,1))]. given #4571 (H,wt=20): 4701 x \ y != (z * T(z,u)) * u | x * ((z * u) * z) = y. [para(4693(a,1),505(a,2,1))]. given #4572 (H,wt=20): 4712 (((x \ 1) \ y) \ 1) \ x != x / z | x \ (1 / y) = z. [para(4600(a,2),40(a,1))]. given #4573 (H,wt=20): 4714 K(x,y) * T(x * z,x) != u | T(T(x,y) * z,x) = u. [para(4608(a,1),3919(a,1,2))]. given #4574 (H,wt=20): 4728 (x \ 1) * T(y,x) != x * z | (x \ y) * (1 / x) = z. [para(4675(a,1),38(a,1))]. given #4575 (H,wt=20): 4733 x \ y != x * ((1 / z) / x) | x \ (x / (x \ z)) = y. [para(4713(a,1),42(a,1)),flip(a)]. given #4576 (H,wt=20): 4741 x * (x * (y * K(x,z))) != u | y * (x * T(x,z)) = u. [para(4734(a,1),230(a,1,2))]. given #4577 (H,wt=20): 4745 (x * (K(y * z,x) * y)) * z = (y * z) * R(x,y,z). [para(2661(a,2),2790(a,1,1))]. given #4578 (H,wt=20): 4748 ((x * K(y,z)) * z) / (z * y) = R(x / y,T(y,z),z). [para(3668(a,1),2846(a,1,1,1))]. given #4579 (H,wt=18): 5138 (x * T(y,z)) / (y * z) = R(x / z,T(z,y),y). [para(3711(a,1),4748(a,1,1))]. given #4580 (H,wt=17): 5139 R((x * y) / y,T(y,z),z) = R(x,y,T(z,y)). [hyper(737,a,5138,a),flip(a)]. given #4581 (H,wt=13): 5140 R(x,T(y,z),z) = R(x,y,T(z,y)). [para(6(a,1),5139(a,1,1))]. given #4582 (H,wt=17): 5141 R(x,y \ z,T(y,y \ z)) = R(x,z / y,y). [para(2775(a,1),5140(a,1,2)),flip(a)]. given #4583 (H,wt=20): 4759 L(K(x,y),z,z) * (x / z) = (z \ (z * T(x,y))) / z. [para(3699(a,1),3141(a,1,1,2)),flip(a)]. given #4584 (H,wt=16): 5144 L(K(x,y),z,z) * (x / z) = T(x,y) / z. [para(4(a,1),4759(a,2,1))]. given #4585 (H,wt=20): 4763 (L(x,y,y) * (y * x)) \ 1 = (y * x) \ ((y * x) \ y). [para(3332(a,1),3455(a,1,1))]. given #4586 (H,wt=20): 4769 K(x,y) * (K(y,x) * z) != u * w | T(u,w) = w \ z. [para(98(a,1),3903(a,2)),flip(b)]. given #4587 (H,wt=20): 4771 K(x,y) * (x \ z) != u * w | u \ (T(x,y) \ z) = w. [para(3153(a,1),3903(a,1,2))]. given #4588 (H,wt=20): 4773 x \ y != K(z,u) * (z \ w) | x * (T(z,u) \ w) = y. [para(3153(a,1),3904(a,2,2))]. given #4589 (H,wt=20): 4774 x \ y != K(z,u) * (u \ w) | x * (T(u,z) \ w) = y. [para(3174(a,1),3904(a,2,2))]. given #4590 (H,wt=20): 4835 T(x * T(y,z),y) != u * T(y,z) | T(x,y \ 1) = u. [para(4834(a,1),39(a,1))]. given #4591 (H,wt=20): 4924 ((x \ 1) / y) * (x \ 1) != z | x \ (1 / (x * y)) = z. [para(4920(a,1),690(a,1,1))]. given #4592 (H,wt=20): 4952 1 / L((x \ 1) \ 1,y,z) != u | L(x,y,z) \ 1 = u. [para(4948(a,2),280(a,1,2))]. given #4593 (H,wt=20): 4976 x \ y != z * (x \ (1 / x)) | ((x \ 1) \ 1) \ z = y. [para(4974(a,1),42(a,1)),flip(a)]. given #4594 (H,wt=20): 4989 (x \ y) \ ((x \ y) \ 1) != z | ((y / x) * y) \ x = z. [para(4657(a,2),115(a,1))]. given #4595 (H,wt=20): 5035 (x / y) * T(x / y,y) != z | (y \ x) * (x / y) = z. [para(5027(a,2),5032(a,1))]. given #4596 (H,wt=20): 5064 (x \ y) \ ((x \ y) \ 1) != z | y \ ((y / x) \ x) = z. [para(4990(a,2),115(a,1))]. given #4597 (H,wt=20): 5101 x \ ((y \ 1) \ (1 / x)) != z | (y \ x) \ (1 / x) = z. [para(5099(a,1),287(a,1,2))]. given #4598 (H,wt=20): 5110 x \ T(y,y \ 1) != y * z | y * (x \ (1 / y)) = z. [para(5108(a,1),38(a,1))]. given #4599 (H,wt=20): 5118 L(x \ T(y,z),x,z \ 1) = ((1 / z) * x) \ (y / z). [hyper(58,a,2449,a(flip),b,2930,a)]. given #4600 (H,wt=20): 5121 ((1 / x) * y) * y != z * u | z \ ((y * y) / x) = u. [para(3252(a,2),3385(a,1))]. given #4601 (H,wt=20): 5123 x \ y != z * (u / z) | x * ((z * u) * (1 / z)) = y. [para(4(a,1),3567(a,2,2,1))]. given #4602 (H,wt=20): 5130 (x / T(y,z)) * T(y,y * z) = (x / R(y,z,y)) * y. [para(5128(a,1),3699(a,1,1)),flip(a)]. given #4603 (H,wt=20): 5132 (x * K(y * z,y)) * K(y,z) = (x * y) / L(y,z,y). [para(3979(a,1),5129(a,1,1))]. given #4604 (H,wt=20): 5142 R(x,y \ z,T(y,y \ z)) = ((x * (z / y)) * y) / z. [hyper(272,a,95,a,b,5141,a),flip(a)]. given #4605 (H,wt=20): 5147 (x * K(y,z)) * K(z,z * y) = (x / R(z,y,z)) * z. [hyper(58,a,3989,a(flip),b,5130,a)]. given #4606 (H,wt=21): 2709 (x * K(y,z)) * L(y,u,w) = x * (K(y,z) * L(y,u,w)). [para(2706(a,1),361(a,1,2,1))]. given #4607 (H,wt=21): 2712 (x * K(y,z)) * L(z,u,w) = x * (K(y,z) * L(z,u,w)). [para(2707(a,1),361(a,1,2,1))]. given #4608 (H,wt=11): 5148 R(x,K(y,z),L(z,u,w)) = x. [hyper(453,a,2712,a)]. given #4609 (H,wt=21): 2764 L(x * K(y,x),y,x * K(y,x)) = L(x * K(y,x),y,x). [para(2685(a,1),2344(a,1,3)),flip(a)]. given #4610 (H,wt=21): 2940 (x * ((y * (x \ 1)) * z)) * x = T(y,x) * T(x * z,x). [para(2789(a,1),1163(a,1,1,2,1))]. given #4611 (H,wt=21): 2941 x * (L(x,y,z) * (u * (x \ 1))) = L(x,y,z) * T(u,x). [para(2789(a,1),1272(a,1,2,2))]. given #4612 (H,wt=19): 5149 ((x * L(x,y,z)) * u) / x = L(x,y,z) * T(u,x). [hyper(1138,a,2941,a)]. given #4613 (H,wt=21): 2957 (x \ 1) * ((x * y) * (x * y)) = (x * y) * T(y,x \ 1). [hyper(114,a,378,a(flip),b,2840,a),flip(a)]. given #4614 (H,wt=21): 3053 (x * y) \ (x * (z \ y)) != u | L(T(z,y) \ 1,y,x) = u. [para(3006(a,1),430(a,1,2,2))]. given #4615 (H,wt=21): 3086 L(x,y,z) \ L(T(x,u),y,z) != w | K(L(x,y,z),u) = w. [para(20(a,2),2691(a,1,2))]. given #4616 (H,wt=21): 3151 (x * y) * T((x * y) \ y,z) = y * K(z,T(x,y) \ 1). [para(2650(a,1),1290(a,1,2)),flip(a)]. given #4617 (H,wt=21): 3285 (x \ y) * (((x \ 1) * z) * z) = x \ ((y * (z * z)) / x). [para(3252(a,2),1136(a,1,2))]. given #4618 (H,wt=21): 3365 x \ ((1 / x) * ((x * x) * y)) = (x \ 1) * T(y * x,x). [para(3254(a,1),1155(a,2,2))]. given #4619 (H,wt=17): 5151 (1 / x) * ((x * x) * y) = ((x \ 1) \ 1) * y. [hyper(33,a,4705,a,b,3365,a),flip(a)]. given #4620 (H,wt=21): 3386 (x \ (1 / x)) / T(y,x \ 1) = ((x \ 1) / y) * (x \ 1). [para(684(a,1),3331(a,1,1))]. given #4621 (H,wt=19): 5152 (x \ (1 / x)) / T(y,x \ 1) = x \ (1 / (x * y)). [hyper(272,a,4922,a(flip),b,3386,a),flip(a)]. given #4622 (H,wt=21): 3416 (1 / x) * ((1 / x) / T(y,x)) = (1 / x) / ((x \ 1) \ y). [para(3350(a,1),3322(a,1,2)),flip(a)]. given #4623 (H,wt=19): 5155 (1 / x) / ((x \ 1) \ y) = (1 / x) * ((1 / y) / x). [para(4641(a,1),3416(a,1,2)),flip(a)]. given #4624 (H,wt=17): 5156 (1 / x) / ((x \ 1) \ y) = (x \ (1 / y)) / x. [hyper(272,a,376,a(flip),b,5155,a),flip(a)]. given #4625 (H,wt=21): 3417 (x * x) * (((1 / x) * y) * z) = x * ((y * (z * x)) / x). [para(769(a,1),3352(a,1,2))]. given #4626 (H,wt=21): 3418 T(x * y,(1 / x) * y) = (1 / ((1 / x) * y)) \ (x * x). [para(3352(a,1),2773(a,1,1))]. given #4627 (H,wt=21): 3477 K((x * x) / y,((x * x) / y) * z) = K(z,x \ (x \ y)). [para(3455(a,1),3397(a,1,2)),flip(a)]. given #4628 (H,wt=19): 5159 T(x,((y * y) / z) \ 1) = x * K(x,y \ (y \ z)). [para(3477(a,1),3403(a,1,2)),flip(a)]. given #4629 (H,wt=21): 3546 x / (1 / (y * T(x,x \ 1))) = (((x \ 1) \ y) \ 1) \ x. [para(1991(a,1),3511(a,1,2,2))]. given #4630 (H,wt=15): 5160 1 / (x * T(y,y \ 1)) = y \ (1 / x). [hyper(31,a,4600,a(flip),b,3546,a),flip(a)]. given #4631 (H,wt=21): 3594 ((x \ (y \ x)) * z) / T(y,x) = T(y,x) \ (z / T(y,x)). [para(2999(a,1),3582(a,1,1,1))]. given #4632 (H,wt=21): 3655 (x \ 1) * T((y / (1 / x)) \ 1,x) = x \ (y \ (1 / x)). [para(2271(a,1),2841(a,1,2)),flip(a)]. given #4633 (H,wt=17): 5161 (x * (y / (1 / x))) \ 1 = x \ (y \ (1 / x)). [hyper(4157,a,3655,a)]. given #4634 (H,wt=19): 5162 (x \ 1) * ((x / (y \ 1)) \ 1) = x \ (y \ (1 / x)). [para(4203(a,1),3655(a,1,2))]. given #4635 (H,wt=16): 5163 L(x \ (1 / y),y,y) = (y / (x \ 1)) \ 1. [hyper(29,a,2030,a,b,5162,a)]. given #4636 (H,wt=19): 5164 ((x / (y \ 1)) \ 1) / x = (y \ (1 / x)) * (1 / x). [hyper(113,a,5163,a(flip),b,2006,a)]. given #4637 (H,wt=21): 3656 (x * (y * ((1 / x) * z))) * x = (x * y) * (x * (z / x)). [hyper(114,a,2844,a(flip),b,1165,a),flip(a)]. given #4638 (H,wt=21): 3719 L(x * K(y,x),z,u) * T(y,x) = T(y,x) * L(x,z,u). [para(2895(a,1),551(a,1,1,1))]. given #4639 (H,wt=21): 3753 (x * (y * T(y \ (x \ z),u))) / z = K(z / (x * y),u). [hyper(113,a,785,a(flip),b,3175,a)]. given #4640 (H,wt=21): 3826 x \ (((y * x) * (y * x)) / x) = ((1 / x) * (y * x)) * y. [hyper(750,a,3531,a),flip(a)]. given #4641 (H,wt=19): 5165 x \ (y * ((1 / x) \ y)) = ((1 / x) * (y * x)) * y. [para(4590(a,1),3826(a,1,2))]. given #4642 (H,wt=19): 5166 x * (((1 / x) * (y * x)) * y) = y * ((1 / x) \ y). [hyper(127,a,5165,a)]. given #4643 (H,wt=17): 5167 x * (T(y,x \ 1) * y) = y * ((1 / x) \ y). [para(3033(a,1),5166(a,1,2,1))]. given #4644 (H,wt=17): 5168 x * (y * T(y,x \ 1)) = y * ((1 / x) \ y). [para(218(a,1),5167(a,1,2))]. given #4645 (H,wt=21): 3838 (x * (y * (1 / x))) / (x \ y) = 1 / T(1 / x,x \ y). [hyper(113,a,3588,a(flip),b,2793,a)]. given #4646 (H,wt=21): 3848 x \ (y * (z * T(z \ (y \ x),u))) = K((y * z) \ x,u). [hyper(112,a,785,a(flip),b,3671,a(flip))]. given #4647 (H,wt=21): 3960 x / (K(y,x * K(z,u)) * K(u,z)) = T(x * K(z,u),y). [hyper(113,a,3912,a(flip),b,3891,a)]. given #4648 (H,wt=19): 5169 x / (K(y,T(x,z)) * K(x,z)) = T(x * K(z,x),y). [para(2652(a,2),3960(a,1,2,1,2))]. given #4649 (H,wt=19): 5170 T(x * K(y,x),z) \ x = K(z,T(x,y)) * K(x,y). [hyper(172,a,5169,a)]. given #4650 (H,wt=19): 5171 T((x * y) / x,z) \ y = K(z,T(y,x)) * K(y,x). [para(2684(a,2),5170(a,1,1,1))]. given #4651 (H,wt=21): 4002 (x * x) * (K(y,1 / x) * z) = x * (T(1 / x,y) \ z). [hyper(114,a,3953,a(flip),b,3353,a)]. given #4652 (H,wt=21): 4034 T(x,y) * (K(z,x) * (x \ u)) = K(x,y) * (K(z,x) * u). [hyper(114,a,3759,a(flip),b,3195,a),flip(a)]. given #4653 (H,wt=20): 5173 K(x,x * y) * (K(y,x) * z) = L(x,y,x) * (x \ z). [hyper(58,a,4792,a(flip),b,4034,a),flip(a)]. given #4654 (H,wt=21): 4044 (x \ 1) * (x \ K(y,x \ (1 / x))) = T(x \ (1 / x),y). [hyper(2690,a,3787,a),flip(a)]. given #4655 (H,wt=21): 4057 (x * y) * (x \ (x / (1 / y))) = (x / (x * y)) \ (x * y). [hyper(114,a,3832,a(flip),b,3000,a)]. given #4656 (H,wt=17): 5174 (x / (x * y)) \ (x * y) = x * ((1 / y) \ y). [hyper(58,a,5075,a(flip),b,4057,a),flip(a)]. given #4657 (H,wt=21): 4073 (x * (y * T(y \ (x \ z),u))) \ z = K(u,(x * y) \ z). [para(785(a,1),3918(a,1,1))]. given #4658 (H,wt=21): 4078 K(x / y,y) * T(z,x / y) = (y \ x) \ (z * (x / y)). [para(100(a,1),3948(a,1,1)),flip(a)]. given #4659 (H,wt=21): 4080 K(x \ y,x) * T(z,x \ y) = (y / x) \ (z * (x \ y)). [para(2775(a,1),3948(a,1,1)),flip(a)]. given #4660 (H,wt=21): 4081 T(x \ y,x) * (((x \ y) \ y) * z) = (x \ y) * (x * z). [para(99(a,1),3954(a,1,2,1))]. given #4661 (H,wt=19): 5176 (x / y) * (((y \ x) \ x) * z) = (y \ x) * (y * z). [para(2775(a,1),4081(a,1,1))]. given #4662 (H,wt=21): 4093 (x * T(y,L(z,y,x))) \ (x * (y * z)) = T(L(z,y,x),y). [para(87(a,1),4007(a,1,2))]. given #4663 (H,wt=21): 4116 ((x \ 1) \ y) * ((x \ 1) \ y) = x * ((y / (x \ 1)) * y). [hyper(114,a,4085,a(flip),b,3366,a(flip)),flip(a)]. given #4664 (H,wt=21): 4120 x * T(1 / x,(y / x) * y) = K(x,(x \ y) * (x \ y)). [para(4086(a,1),3551(a,2,2))]. given #4665 (H,wt=21): 4124 L(x * ((y \ 1) \ 1),z,z) = L(y \ (1 / x),z,z) \ 1. [para(4097(a,1),3798(a,1,1))]. given #4666 (H,wt=19): 5178 L(x \ (1 / x),y,y) \ 1 = L((1 / x) \ x,y,y). [para(3007(a,1),4124(a,1,1)),flip(a)]. given #4667 (H,wt=16): 5179 L((1 / x) \ x,y,y) = (x \ (1 / x)) \ 1. [para(4285(a,1),5178(a,1,1)),flip(a)]. given #4668 (H,wt=16): 5180 L((1 / x) \ x,y,y) = x * ((x \ 1) \ 1). [hyper(272,a,4097,a(flip),b,5179,a),flip(a)]. given #4669 (H,wt=14): 5182 L((1 / x) \ x,y,y) = (1 / x) \ x. [hyper(272,a,3007,a(flip),b,5180,a),flip(a)]. given #4670 (H,wt=17): 5183 (x \ 1) * ((1 / y) \ y) = x \ ((1 / y) \ y). [hyper(114,a,5182,a(flip),b,2013,a)]. given #4671 (H,wt=21): 4144 (x / y) * ((x / y) * (z \ 1)) = z \ ((y \ x) * (y \ x)). [para(4115(a,1),3290(a,2,2))]. given #4672 (H,wt=21): 4175 a((x / (1 / y)) \ 1,z,u) = a((y \ 1) * (1 / x),z,u). [para(4151(a,1),2512(a,1,1,1))]. given #4673 (H,wt=21): 4183 ((x \ 1) \ (y * x)) / (y * x) = (y * x) \ (x * (x * y)). [para(3574(a,1),4166(a,2,2))]. given #4674 (H,wt=19): 5184 ((x * y) * x) / (y * x) = (y * x) \ (x * (x * y)). [para(3502(a,1),4183(a,1,1))]. given #4675 (H,wt=14): 5185 (x * y) \ (y * (y * x)) = R(y,x,y). [hyper(457,a,5184,a),flip(a)]. given #4676 (H,wt=14): 5186 (x * y) \ (x * (y * y)) = R(y,x,y). [para(2956(a,2),5185(a,1,2))]. given #4677 (H,wt=9): 5187 R(x,y,x) = L(x,x,y). [hyper(430,a,5186,a),flip(a)]. given #4678 (H,wt=12): 5188 R(x,y,x) != z | L(x,x,y) = z. [para(5186(a,1),430(a,1))]. given #4679 (H,wt=21): 4227 x \ y != z * (z * a(z,z,u)) | x * T(z * z,u) = y. [para(4222(a,1),286(a,2,2))]. given #4680 (H,wt=21): 4310 x \ ((x * (y * K(x,z))) / x) = y * (K(x,z) * (x \ 1)). [para(4303(a,1),1132(a,1,2,1))]. given #4681 (H,wt=19): 5189 x \ T(y * K(x,z),x) = y * (K(x,z) * (x \ 1)). [para(2774(a,2),4310(a,1,2))]. given #4682 (H,wt=19): 5190 (x * K(y,z)) * (y \ 1) = x * (K(y,z) * (y \ 1)). [hyper(2979,a,5189,a)]. given #4683 (H,wt=17): 5191 (x * K(y,z)) * (y \ 1) = x * (T(y,z) \ 1). [para(3886(a,1),5190(a,2,2))]. given #4684 (H,wt=17): 5192 T(x,y) * (T(y,z) \ 1) = (y \ x) * K(y,z). [hyper(58,a,4939,a(flip),b,5191,a),flip(a)]. given #4685 (H,wt=21): 4326 x * ((y * (y * (z / x))) * x) = T(z,x) * ((y * y) * x). [para(2956(a,1),2816(a,1,2,1))]. given #4686 (H,wt=21): 4330 x \ (((y \ (x / z)) * y) * z) = K((x \ (y * z)) \ 1,y). [para(988(a,1),2877(a,1,2))]. given #4687 (H,wt=21): 4331 x \ (((y \ (x * z)) * y) / z) = K((x \ (y / z)) \ 1,y). [para(1338(a,1),2877(a,1,2))]. given #4688 (H,wt=21): 4361 x * ((x * (1 / y)) \ (x \ 1)) = x \ (x \ (x / (y \ 1))). [para(4094(a,1),4358(a,2,2))]. given #4689 (H,wt=19): 5195 x \ (x \ (x / (y \ 1))) = x * (1 / ((y \ x) * x)). [para(5065(a,1),4361(a,1,2)),flip(a)]. given #4690 (H,wt=21): 4424 1 / (x * L(x \ 1,y,z)) = L(1 / x,y,z) \ (1 / x). [para(912(a,1),4422(a,1,2))]. given #4691 (H,wt=21): 4470 T(T(x,y \ z),z \ y) != u | L(x,y \ z,y \ z) = u. [para(4459(a,1),2039(a,1))]. given #4692 (H,wt=20): 5196 L(x,y \ z,y \ z) != u | L(x,z \ y,z \ y) = u. [para(4665(a,1),4470(a,1))]. given #4693 (H,wt=16): 5197 L(x,y \ x,y \ x) = y * ((x \ y) \ 1). [hyper(5196,a,2017,a)]. given #4694 (H,wt=21): 4472 T(x,y \ z) * (1 / (y \ z)) = T(x,z \ y) / (y \ z). [para(4459(a,1),2926(a,1,1)),flip(a)]. given #4695 (H,wt=21): 4473 T(x,(((y * y) * z) \ u) \ 1) = T(x,u \ ((z * y) * y)). [para(3281(a,1),4459(a,1,2,1))]. given #4696 (H,wt=19): 5198 T(x,y \ ((z * u) * u)) = T(x,y \ ((u * u) * z)). [hyper(4488,a,4473,a),flip(a)]. given #4697 (H,wt=21): 4496 K(x \ y,x) * K(z,y / x) = x \ (y / T(y / x,z)). [hyper(112,a,3931,a(flip),b,3158,a(flip)),flip(a)]. given #4698 (H,wt=21): 4500 K(((x \ 1) / (x \ y)) \ 1,z) * (x \ y) = x \ T(y,z). [hyper(272,a,883,a(flip),b,3169,a),flip(a)]. given #4699 (H,wt=21): 4505 (K(x,y) * T(z,x)) / (x \ 1) = x \ ((x * T(x,y)) * z). [hyper(113,a,3205,a(flip),b,1130,a)]. given #4700 (H,wt=19): 5199 T(T(x,y) * T(z,x),x) = x \ ((x * T(x,y)) * z). [hyper(58,a,3179,a(flip),b,4505,a)]. given #4701 (H,wt=19): 5200 T(K(x,y) * (z * x),x) = x \ ((x * T(x,y)) * z). [para(3176(a,2),5199(a,1,1))]. given #4702 (H,wt=21): 4519 (x \ (T(y,x \ 1) \ 1)) / x = (y \ (x \ 1)) * (x \ 1). [para(3006(a,1),4517(a,1,1)),flip(a)]. given #4703 (H,wt=19): 5201 ((x / (y \ 1)) \ 1) / x = (y \ (x \ 1)) * (x \ 1). [para(4981(a,1),4519(a,1,1))]. given #4704 (H,wt=19): 5202 (x \ (1 / y)) * (1 / y) = (x \ (y \ 1)) * (y \ 1). [hyper(58,a,5164,a(flip),b,5201,a)]. given #4705 (H,wt=19): 5203 ((x / y) \ (y \ 1)) * (y \ 1) = T(x,y) \ (1 / y). [hyper(58,a,3301,a(flip),b,5202,a),flip(a)]. given #4706 (H,wt=19): 5204 (x \ ((x \ y) \ 1)) * (x \ 1) = T(y,x) \ (1 / x). [para(4351(a,1),5203(a,1,1))]. given #4707 (H,wt=17): 5205 x \ (((x \ y) \ 1) / x) = T(y,x) \ (1 / x). [hyper(709,a,5204,a)]. given #4708 (H,wt=21): 4540 x * (y * ((x \ 1) * (x \ 1))) = (x * y) * (x \ (1 / x)). [hyper(58,a,1133,a,b,4536,a)]. given #4709 (H,wt=19): 5206 (x * y) * (x \ (1 / x)) = x * (y * (x \ (1 / x))). [para(684(a,1),4540(a,1,2,2)),flip(a)]. given #4710 (H,wt=19): 5207 x \ ((x * y) * (x \ (1 / x))) = y * (x \ (1 / x)). [hyper(112,a,5206,a,b,xx)]. given #4711 (H,wt=17): 5208 (x * y) * (x \ (1 / x)) = ((x \ 1) \ 1) \ y. [hyper(4976,a,5207,a),flip(a)]. given #4712 (H,wt=17): 5211 ((x \ 1) \ 1) \ (x \ y) = y * (x \ (1 / x)). [hyper(485,a,5208,a),flip(a)]. given #4713 (H,wt=17): 5213 T(x,y * (z \ (1 / z))) = T(x,z \ (z \ y)). [para(5211(a,1),3648(a,1,2))]. given #4714 (H,wt=19): 5212 ((x \ 1) \ 1) \ (x \ (y / x)) = (x \ (x \ y)) / x. [hyper(272,a,4542,a(flip),b,5211,a),flip(a)]. given #4715 (H,wt=19): 5214 (x * (y \ (1 / y))) * (1 / y) = y \ ((y \ x) / y). [para(5211(a,1),4885(a,1,1))]. given #4716 (H,wt=19): 5215 T(x,(y \ (z / y)) / y) = T(x,y \ (y \ (y \ z))). [para(4541(a,1),5213(a,1,2))]. given #4717 (H,wt=21): 4561 (((x \ 1) \ 1) * y) * T(y,x \ 1) = (y / (1 / x)) * y. [para(3766(a,1),1234(a,1,1)),flip(a)]. given #4718 (H,wt=21): 4575 T(x \ 1,y * (x \ 1)) \ z = K(y,x) * ((x \ 1) \ z). [para(2372(a,1),3951(a,1,1)),flip(a)]. given #4719 (H,wt=19): 5216 T(x \ 1,x \ y) \ z = K(y,x) * ((x \ 1) \ z). [para(2236(a,1),4575(a,1,1))]. given #4720 (H,wt=17): 5217 K(x,y) * ((y \ 1) \ z) = (T(y,x) \ 1) \ z. [hyper(58,a,3444,a(flip),b,5216,a),flip(a)]. given #4721 (H,wt=17): 5218 K(x,y) * ((x \ 1) \ z) = (T(x,y) \ 1) \ z. [para(28(a,1),5217(a,1,1))]. given #4722 (H,wt=19): 5219 (T(x,y) \ 1) \ (z * x) = K(x,y) * ((x * z) * x). [para(3502(a,1),5218(a,1,2)),flip(a)]. given #4723 (H,wt=17): 5220 (T(x,y) \ 1) \ (z * x) = (T(x,y) * z) * x. [hyper(272,a,4293,a(flip),b,5219,a),flip(a)]. given #4724 (H,wt=17): 5221 (T(x,y) * (z / x)) * x = (T(x,y) \ 1) \ z. [para(7(a,1),5220(a,1,2)),flip(a)]. given #4725 (H,wt=21): 4577 (x \ 1) * (T(x,x * y) \ z) = T(x \ 1,y) * (x \ z). [para(3952(a,1),2661(a,1,2))]. given #4726 (H,wt=21): 4589 K(x,x \ y) * (z * (y / x)) = (x \ y) * T(z,y / x). [para(17(a,2),4003(a,1,2)),flip(a)]. given #4727 (H,wt=21): 4596 ((x \ y) \ T(z,x \ y)) \ 1 = T(z \ (x \ y),y \ x). [hyper(4488,a,4595,a),flip(a)]. given #4728 (H,wt=21): 4604 x \ (x / (1 / (T(y,x) / x))) = T(1 / (x / y),x \ 1). [para(4276(a,2),4200(a,1,2,2))]. given #4729 (H,wt=21): 4612 K(x,y) * (T(z,x) * K(x,u)) = T(x,y) \ (z * T(x,u)). [para(4609(a,1),3886(a,1,2))]. given #4730 (H,wt=15): 5223 T(x,y) \ (y * T(x,z)) = y * K(x,z). [hyper(3963,a,4612,a),flip(a)]. given #4731 (H,wt=11): 5226 T(K(T(x,y),z),y) = K(x,z). [hyper(215,a,3228,a(flip),b,5223,a(flip))]. given #4732 (H,wt=11): 5227 K(T(x,y),z) = T(K(x,z),y). [hyper(2782,a,5226,a),flip(a)]. given #4733 (H,wt=13): 5225 K(T(x,y),z) * y = y * K(x,z). [hyper(58,a,3228,a(flip),b,5223,a)]. given #4734 (H,wt=13): 5228 x * K(T(y,x),z) = K(y,z) * x. [para(5226(a,1),2778(a,1,1)),flip(a)]. given #4735 (H,wt=13): 5229 x \ (K(y,z) * x) = K(T(y,x),z). [hyper(272,a,17,a(flip),b,5227,a)]. given #4736 (H,wt=13): 5232 (K(x,y) * z) * K(T(y,z),x) = z. [para(5227(a,2),2883(a,1,2))]. given #4737 (H,wt=13): 5233 (K(x,y) * z) * K(y,T(x,z)) = z. [hyper(3914,a,5228,a)]. given #4738 (H,wt=11): 5238 K(x,T(y,z)) = T(K(x,y),z). [hyper(3239,a,5233,a),flip(a)]. given #4739 (H,wt=11): 5239 K(T(x,y),z) = K(x,T(z,y)). [hyper(29,a,5232,a,b,5233,a)]. given #4740 (H,wt=11): 5243 K(T(x,y),T(z,y)) = K(x,z). [hyper(272,a,5226,a(flip),b,5238,a),flip(a)]. given #4741 (H,wt=10): 5286 a(x,T(y,z),K(u,y)) = 1. [para(5243(a,1),2662(a,1,3))]. given #4742 (H,wt=10): 5287 R(x,T(y,z),K(u,y)) = x. [para(5243(a,1),3658(a,1,3))]. given #4743 (H,wt=11): 5248 T(K(x,T(y,z)),z) = K(x,y). [hyper(2782,a,5238,a(flip))]. given #4744 (H,wt=11): 5257 K(x,T(y,z)) = K(y,T(x,z)). [hyper(508,a,5239,a)]. given #4745 (H,wt=11): 5281 K(x,T(T(y,z),z)) = K(x,y). [hyper(58,a,5239,a(flip),b,5243,a)]. given #4746 (H,wt=12): 5266 K(x,T(y,L(x,z,u))) = K(x,y). [para(156(a,1),5239(a,1,1)),flip(a)]. given #4747 (H,wt=12): 5289 L(K(x,y),T(y,z),u) = K(x,y). [hyper(47,a,5286,a)]. given #4748 (H,wt=13): 5234 (K(x,y) * z) \ z = K(y,T(x,z)). [para(5228(a,1),3899(a,1,1))]. given #4749 (H,wt=13): 5236 x * K(y,T(z,x)) = K(y,z) * x. [hyper(3914,a,5232,a)]. given #4750 (H,wt=13): 5241 K(T(x,x \ y),z) = K(x,T(z,y)). [hyper(272,a,3853,a,b,5238,a)]. given #4751 (H,wt=13): 5242 K((x \ y) \ y,z) = K(x,T(z,y)). [hyper(272,a,3851,a,b,5238,a)]. given #4752 (H,wt=13): 5245 K(x,T(y,y \ z)) = T(K(x,y),z). [hyper(58,a,4455,a,b,5238,a)]. given #4753 (H,wt=13): 5247 T(K(x,y / z),y) = K(x,z \ y). [hyper(58,a,4447,a(flip),b,5238,a),flip(a)]. given #4754 (H,wt=13): 5249 x * T(K(x,y),z) = T(x,T(y,z)). [hyper(114,a,5238,a(flip),b,2672,a(flip))]. given #4755 (H,wt=13): 5251 T(K(x,y \ z),y) = K(x,z / y). [para(2775(a,1),5238(a,1,2)),flip(a)]. given #4756 (H,wt=13): 5252 K(x,T(y,z)) * z = z * K(x,y). [para(5238(a,2),2778(a,1,1))]. given #4757 (H,wt=13): 5260 K(T(x,y),y / z) = K(x,z \ y). [hyper(272,a,4447,a(flip),b,5239,a),flip(a)]. given #4758 (H,wt=13): 5261 x * K(T(x,y),z) = T(x,T(z,y)). [hyper(114,a,5239,a,b,2672,a(flip))]. given #4759 (H,wt=13): 5267 K(T(x,y),z / y) = K(x,y \ z). [para(100(a,1),5239(a,2,2))]. given #4760 (H,wt=13): 5271 K(T(x,y),K(y,z)) = K(x,K(y,z)). [para(1895(a,1),5239(a,2,2))]. given #4761 (H,wt=13): 5272 K(x,T(y,T(z,x))) = K(T(x,z),y). [para(2229(a,1),5239(a,1,1)),flip(a)]. given #4762 (H,wt=13): 5273 K(x,T(y,z)) * y = T(y,T(x,z)). [para(5239(a,1),2692(a,2,1)),flip(a)]. given #4763 (H,wt=13): 5274 K((x * y) / x,z) = K(y,T(z,x)). [para(2774(a,1),5239(a,1,1))]. given #4764 (H,wt=13): 5275 K(x \ y,T(z,x)) = K(y / x,z). [para(2775(a,1),5239(a,1,1)),flip(a)]. given #4765 (H,wt=13): 5288 R(x,K(y,z),L(T(z,u),w,v5)) = x. [para(5243(a,1),5148(a,1,2))]. given #4766 (H,wt=13): 5290 R(x,T(y,z),K(u,y)) != w | x = w. [para(5287(a,1),46(a,2))]. given #4767 (H,wt=13): 5292 K(x,T(y,x \ z)) = K(y,T(x,z)). [hyper(272,a,4455,a(flip),b,5257,a),flip(a)]. given #4768 (H,wt=13): 5295 T(x,T(T(y,z),z)) = x * K(x,y). [hyper(114,a,5281,a(flip),b,2672,a(flip)),flip(a)]. given #4769 (H,wt=11): 5330 T(x,T(T(y,z),z)) = T(x,y). [hyper(272,a,2674,a,b,5295,a),flip(a)]. given #4770 (H,wt=13): 5297 K(x,T(y \ z,y)) = K(x,z / y). [para(100(a,1),5281(a,1,2,1))]. given #4771 (H,wt=13): 5303 K(x,y) * (z * K(y,T(x,z))) = z. [hyper(114,a,5236,a,b,3882,a)]. given #4772 (H,wt=13): 5308 K(x,T(y,x \ z)) = K(x,T(y,z)). [hyper(58,a,5239,a(flip),b,5241,a)]. given #4773 (H,wt=13): 5310 T(K(x,y),y * z) = K(x,T(y,z)). [para(4(a,1),5245(a,1,2,2)),flip(a)]. given #4774 (H,wt=13): 5315 K(T(x,y),z) * (y * K(z,x)) = y. [hyper(3894,a,5252,a)]. given #4775 (H,wt=13): 5331 T(x,y * K(z,y)) = T(x,T(y,z)). [para(2685(a,1),5330(a,1,2,1)),flip(a)]. given #4776 (H,wt=13): 5333 K(x,T(y,x * z)) = K(x,T(y,z)). [para(4(a,1),5308(a,1,2,2)),flip(a)]. given #4777 (H,wt=14): 5231 T(K(T(x,y),z),y) != u | K(x,z) = u. [para(5227(a,2),2810(a,1,1))]. given #4778 (H,wt=14): 5268 K(x,T(y,z)) != u | K(y,T(x,z)) = u. [para(5239(a,1),508(a,1))]. given #4779 (H,wt=14): 5291 T(K(x,y),z) != u | K(x,T(y,z)) = u. [para(5248(a,1),2810(a,1,1))]. given #4780 (H,wt=14): 5293 K(x,T(y,z)) != u | K(T(x,z),y) = u. [para(5257(a,1),508(a,1))]. given #4781 (H,wt=14): 5337 K(T(x,y),T(z,y)) != u | K(x,z) = u. [para(5238(a,2),5231(a,1))]. given #4782 (H,wt=12): 5347 K(x,T(y,x)) != z | K(x,y) = z. [para(97(a,1),5337(a,1,1))]. given #4783 (H,wt=14): 5338 K(T(x,y),z) != u | K(x,T(z,y)) = u. [para(5248(a,1),5231(a,1))]. given #4784 (H,wt=14): 5350 K(x,x \ (y * x)) != z | K(x,y) = z. [para(17(a,1),5347(a,1,2))]. given #4785 (H,wt=14): 5354 K(x,x / y) != z | K(x,y \ x) = z. [para(4456(a,1),5347(a,1))]. given #4786 (H,wt=15): 5224 (x * T(y,z)) / (x * K(y,z)) = T(y,x). [hyper(178,a,5223,a)]. given #4787 (H,wt=11): 5357 T(x,y * K(x,z)) = T(x,y). [hyper(58,a,3704,a(flip),b,5224,a)]. given #4788 (H,wt=11): 5361 T(x,T(y,x \ 1)) = T(x,y). [para(3403(a,1),5357(a,1,2))]. given #4789 (H,wt=11): 5367 T(x,K(x,y) * z) = T(x,z). [para(5236(a,1),5357(a,1,2))]. given #4790 (H,wt=13): 5359 K(x,y * K(x,z)) = x \ T(x,y). [hyper(112,a,5357,a(flip),b,2674,a(flip)),flip(a)]. given #4791 (H,wt=11): 5374 K(x,y * K(x,z)) = K(x,y). [hyper(272,a,2672,a,b,5359,a),flip(a)]. given #4792 (H,wt=11): 5375 K(x,y * K(z,x)) = K(x,y). [para(28(a,1),5374(a,1,2,2))]. given #4793 (H,wt=11): 5376 K(x,y / K(z,x)) = K(x,y). [para(3905(a,2),5374(a,1,2))]. given #4794 (H,wt=11): 5379 K(x,K(y,x) * z) = K(x,z). [para(5233(a,1),5374(a,1,2)),flip(a)]. given #4795 (H,wt=11): 5380 K(x,K(x,y) * z) = K(x,z). [para(5236(a,1),5374(a,1,2))]. given #4796 (H,wt=11): 5385 K(x,K(x,y) \ z) = K(x,z). [para(3882(a,2),5379(a,1,2))]. given #4797 (H,wt=13): 5362 T(x,y * T(z,x)) = T(x,y * z). [para(3659(a,1),5357(a,1,2))]. given #4798 (H,wt=12): 5388 T(x,y * T(y,x)) = L(x,y,y). [hyper(272,a,2952,a(flip),b,5362,a),flip(a)]. given #4799 (H,wt=13): 5363 T(x,y * T(x,z)) = T(x,y * x). [para(3664(a,1),5357(a,1,2))]. given #4800 (H,wt=13): 5364 T(x,T(y,x) * z) = T(x,y * z). [para(3982(a,1),5357(a,1,2)),flip(a)]. given #4801 (H,wt=13): 5368 T(1 / x,T(y,x)) = T(1 / x,y). [para(74(a,1),5361(a,1,2,2))]. given #4802 (H,wt=13): 5369 T(x \ 1,T(y,x)) = T(x \ 1,y). [para(1970(a,1),5361(a,1,2))]. given #4803 (H,wt=13): 5371 T(x,T(x,y) * z) = T(x,x * z). [para(2750(a,1),5367(a,1,2))]. given #4804 (H,wt=13): 5372 T(x,T(y,x) \ z) = T(x,y \ z). [para(3153(a,1),5367(a,1,2)),flip(a)]. given #4805 (H,wt=13): 5373 T(x,T(x,y) \ z) = T(x,x \ z). [para(3174(a,1),5367(a,1,2)),flip(a)]. given #4806 (H,wt=13): 5377 K(x,T(y,x) * z) = K(x,y * z). [para(3982(a,1),5374(a,1,2)),flip(a)]. given #4807 (H,wt=13): 5381 K(x,y \ T(z,x)) = K(x,y \ z). [para(1042(a,1),5375(a,1,2))]. given #4808 (H,wt=13): 5382 K(x * K(y,z),z) = 1 / K(z,x). [para(5375(a,1),2880(a,1,2)),flip(a)]. given #4809 (H,wt=11): 5398 K(x * K(y,z),z) = K(x,z). [hyper(272,a,2880,a(flip),b,5382,a),flip(a)]. given #4810 (H,wt=11): 5399 K(x * K(y,z),y) = K(x,y). [para(28(a,1),5398(a,1,1,2))]. given #4811 (H,wt=11): 5401 K(K(x,y) * z,y) = K(z,y). [para(5228(a,1),5398(a,1,1))]. given #4812 (H,wt=13): 5384 K(x,y \ K(z,x)) = K(x,y \ 1). [hyper(58,a,4451,a(flip),b,5376,a),flip(a)]. given #4813 (H,wt=13): 5390 T(x,y * T(x,z)) = T(x,x * y). [hyper(272,a,2315,a(flip),b,5363,a),flip(a)]. given #4814 (H,wt=13): 5396 T(x,T(x,y) \ z) = (x \ z) \ z. [hyper(272,a,99,a(flip),b,5373,a),flip(a)]. given #4815 (H,wt=13): 5400 K(x \ T(y,z),z) = K(x \ y,z). [para(1042(a,1),5398(a,1,1))]. given #4816 (H,wt=14): 5386 K(x,R(K(y,x),z,u) * w) = K(x,w). [para(4815(a,1),5379(a,1,2,1))]. given #4817 (H,wt=14): 5389 T(x,((y / x) * y) * x) = L(x,y,y). [para(4084(a,2),5388(a,1,2))]. given #4818 (H,wt=14): 5394 L(T(x,y),y,T(x,z)) = T(x,x * y). [hyper(58,a,1122,a,b,5371,a)]. given #4819 (H,wt=14): 5404 R(T(x,x * y),y,T(x,z)) = T(x,y). [para(5390(a,1),1248(a,1,1))]. given #4820 (H,wt=15): 5230 T(K(x,y),z) * T(x,z) = T(T(x,z),y). [para(5227(a,1),2741(a,2,1)),flip(a)]. given #4821 (H,wt=15): 5240 K(x,K(y,z)) * K(z,y) = K(z,T(y,x)). [hyper(272,a,3871,a,b,5238,a)]. given #4822 (H,wt=15): 5244 K(x,y) * K(z,K(x,y)) = K(x,T(y,z)). [hyper(272,a,2652,a(flip),b,5238,a)]. given #4823 (H,wt=14): 5412 K(x,T(y,z)) != u | T(K(x,y),z) = u. [para(5244(a,1),2690(a,1))]. given #4824 (H,wt=15): 5246 K(x,T(y,z) \ 1) = T(K(x,y \ 1),z). [hyper(58,a,4490,a(flip),b,5238,a)]. given #4825 (H,wt=15): 5250 K(x,T(T(y,z),u)) = T(K(x,T(y,u)),z). [para(18(a,1),5238(a,1,2))]. given #4826 (H,wt=15): 5255 K(x,y) * K(y,T(x,z)) = K(z,K(x,y)). [para(5238(a,2),4071(a,1,2))]. given #4827 (H,wt=15): 5259 K(T(x,y),z \ 1) = K(x,y \ (z \ y)). [hyper(272,a,4448,a(flip),b,5239,a),flip(a)]. given #4828 (H,wt=15): 5262 T(x,y) \ T(T(x,z),y) = K(x,T(z,y)). [hyper(58,a,2734,a,b,5239,a)]. given #4829 (H,wt=15): 5263 T(x,y) * K(x,T(z,y)) = T(T(x,y),z). [hyper(114,a,5239,a(flip),b,2672,a(flip))]. given #4830 (H,wt=15): 5264 K(T(x,y),T(z,u)) = K(x,T(T(z,y),u)). [para(18(a,1),5239(a,2,2))]. given #4831 (H,wt=15): 5278 K(x,T(y,z)) * T(x,z) = T(T(x,y),z). [para(5239(a,1),2801(a,1,1))]. given #4832 (H,wt=15): 5282 T(T(x,y),T(z,y)) = T(x,y) * K(x,z). [hyper(114,a,5243,a(flip),b,2672,a(flip)),flip(a)]. given #4833 (H,wt=15): 5299 K(x,T((y / z) \ 1,z)) = K(x,y \ z). [para(2768(a,1),5281(a,1,2,1))]. given #4834 (H,wt=15): 5306 K(x,y \ z) * y = y * K(x,z / y). [para(2775(a,1),5236(a,1,2,2)),flip(a)]. given #4835 (H,wt=15): 5312 T(x,y) * K(K(x,y),z) = T(x,T(y,z)). [hyper(4238,a,5249,a)]. given #4836 (H,wt=15): 5316 T(x,T(y,z)) * z = x * (z * K(x,y)). [hyper(114,a,5252,a(flip),b,2748,a),flip(a)]. given #4837 (H,wt=15): 5321 x * T(K(x,y),x * z) = T(x,T(y,z)). [para(3854(a,2),5261(a,1,2))]. given #4838 (H,wt=13): 5421 T(x,T(y,x * z)) = T(x,T(y,z)). [hyper(58,a,5249,a(flip),b,5321,a)]. given #4839 (H,wt=13): 5422 T(x,T(y,x \ z)) = T(x,T(y,z)). [para(5(a,1),5421(a,1,2,2)),flip(a)]. given #4840 (H,wt=15): 5348 K(x,T(y,L(x,z,u))) != w | K(x,y) = w. [para(156(a,1),5337(a,1,1))]. given #4841 (H,wt=15): 5365 T(x,y * (z / x)) = T(x,y * (x \ z)). [para(3661(a,1),5357(a,1,2))]. given #4842 (H,wt=15): 5366 K(x,T(y,z * K(x,u))) = K(T(x,z),y). [para(5357(a,1),5239(a,1,1)),flip(a)]. given #4843 (H,wt=15): 5370 (x * y) \ T(x,y \ 1) = T(y,x) \ 1. [para(5361(a,1),3485(a,1,1)),flip(a)]. given #4844 (H,wt=15): 5378 K(x,y * (z / x)) = K(x,y * (x \ z)). [para(3661(a,1),5374(a,1,2))]. given #4845 (H,wt=15): 5383 K(x,y / (z / x)) = K(x,y / (x \ z)). [para(3706(a,1),5375(a,1,2))]. given #4846 (H,wt=15): 5397 K(x,y \ (x \ (z * x))) = K(x,y \ z). [para(17(a,1),5381(a,1,2,2))]. given #4847 (H,wt=15): 5403 K((x / y) \ z,y) = K((y \ x) \ z,y). [para(3950(a,1),5401(a,1,1))]. given #4848 (H,wt=15): 5405 T(T(x,y),x \ z) = (T(x,y) \ z) \ z. [para(2765(a,1),5396(a,1,2,1))]. given #4849 (H,wt=15): 5406 K(x \ (y \ (z * y)),y) = K(x \ z,y). [para(17(a,1),5400(a,1,1,2))]. given #4850 (H,wt=15): 5417 K(x,y) * T(x,T(z,y)) = T(T(x,y),z). [hyper(4267,a,5263,a)]. given #4851 (H,wt=15): 5418 T(T(x,y),z) * K(z,x) = T(x,T(y,z)). [para(5278(a,1),3932(a,1,1))]. given #4852 (H,wt=15): 5419 T(x,y) * K(z,K(x,y)) = T(x,T(y,z)). [para(28(a,1),5312(a,1,2))]. given #4853 (H,wt=15): 5425 K(x,T(y,z * K(x,u))) = K(x,T(y,z)). [hyper(272,a,5239,a(flip),b,5366,a),flip(a)]. given #4854 (H,wt=15): 5427 T((x \ y) \ y,z) = (T(x,z) \ y) \ y. [hyper(4242,a,5405,a)]. given #4855 (H,wt=15): 5429 K(x,y) * T(T(x,y),z) = T(x,T(z,y)). [hyper(3909,a,5417,a)]. given #4856 (H,wt=15): 5432 T(x,y) * T(z,x) = z * T(x,T(y,z)). [hyper(114,a,5418,a(flip),b,4609,a),flip(a)]. given #4857 (H,wt=15): 5438 (T(x \ y,z) \ y) \ y = T(y / x,z). [para(2826(a,1),5427(a,1,1)),flip(a)]. given #4858 (H,wt=15): 5441 K(x,y) * (z * x) = z * T(x,T(y,z)). [hyper(58,a,3176,a,b,5432,a)]. given #4859 (H,wt=15): 5443 x / T(x / y,z) = T(y \ x,z) \ x. [hyper(178,a,5438,a)]. given #4860 (H,wt=16): 5235 (K(x,y) * z) \ z != u | K(y,T(x,z)) = u. [para(5228(a,1),3924(a,1,1))]. given #4861 (H,wt=16): 5237 (K(x,y) * z) * u != z | K(T(y,z),x) = u. [para(5232(a,1),38(a,1)),flip(a)]. given #4862 (H,wt=16): 5253 x * T(K(x,y),z) != u | T(x,T(y,z)) = u. [para(5238(a,1),2737(a,1,2))]. given #4863 (H,wt=16): 5301 L(K(x,y / z),z \ y,u) = K(x,y / z). [para(100(a,1),5289(a,1,2))]. given #4864 (H,wt=16): 5329 R(x,y,1 / z) != u | R(x,y,z \ 1) = u. [para(2618(a,1),5290(a,1))]. given #4865 (H,wt=16): 5339 K(x,T(y,z)) != u | K(x,T(y,y \ z)) = u. [para(5292(a,1),5268(a,1))]. given #4866 (H,wt=16): 5340 K(x,T(y,x \ z)) != u | K(x,T(y,z)) = u. [para(5292(a,2),5268(a,1))]. given #4867 (H,wt=16): 5341 K((x \ y) \ y,z) != u | K(x,T(z,y)) = u. [para(3851(a,2),5291(a,1))]. given #4868 (H,wt=16): 5342 K(x,T(y,y \ z)) != u | K(x,T(y,z)) = u. [para(5245(a,2),5291(a,1))]. given #4869 (H,wt=16): 5343 K(x,y / z) != u | K(x,T(z \ y,z)) = u. [para(5251(a,1),5291(a,1))]. given #4870 (H,wt=16): 5349 K(T(x,y),y \ z) != u | K(x,z / y) = u. [para(100(a,1),5337(a,1,2))]. given #4871 (H,wt=16): 5356 K(x,T(y,T(z,x))) != u | K(x,T(y,z)) = u. [para(5272(a,2),5338(a,1))]. given #4872 (H,wt=16): 5407 T(1 / x,(y / x) * y) = 1 / L(x,y,y). [para(5389(a,1),3077(a,1,2)),flip(a)]. given #4873 (H,wt=16): 5452 K(x,T(y \ z,y)) != u | K(x,z / y) = u. [para(5239(a,1),5349(a,1))]. given #4874 (H,wt=17): 5265 K(T(x,y),L(z,u,w)) = K(x,L(T(z,y),u,w)). [para(20(a,2),5239(a,2,2))]. given #4875 (H,wt=17): 5279 (x * K(y,T(z,u))) \ (x * z) = T(z,T(y,u)). [para(5239(a,1),3980(a,1,1,2))]. given #4876 (H,wt=17): 5283 K(L(T(x,y),z,u),T(w,y)) = K(L(x,z,u),w). [para(20(a,2),5243(a,1,1))]. given #4877 (H,wt=17): 5284 K(T(x,y),L(T(z,y),u,w)) = K(x,L(z,u,w)). [para(20(a,2),5243(a,1,2))]. given #4878 (H,wt=17): 5285 K(T(x,y),R(T(z,y),u,w)) = K(x,R(z,u,w)). [para(22(a,2),5243(a,1,2))]. given #4879 (H,wt=17): 5296 K(x,T(L(T(y,z),u,w),z)) = K(x,L(y,u,w)). [para(20(a,2),5281(a,1,2,1))]. given #4880 (H,wt=17): 5298 K(x,R(T(T(y,z),z),u,w)) = K(x,R(y,u,w)). [para(662(a,2),5281(a,1,2))]. given #4881 (H,wt=17): 5302 (x \ y) * K(z,T(x,x \ y)) = T(x,z) \ y. [hyper(272,a,3885,a(flip),b,5236,a),flip(a)]. given #4882 (H,wt=17): 5311 K(x,R(x,y,z) / u) = K(x,u \ R(x,y,z)). [hyper(2862,a,5247,a)]. given #4883 (H,wt=17): 5323 T(x,y) * K(x,K(y,z)) = T(T(x,y),K(y,z)). [hyper(114,a,5271,a(flip),b,2672,a(flip))]. given #4884 (H,wt=17): 5326 K(x / L(y,z,u),y) = K(L(y,z,u) \ x,y). [para(156(a,1),5275(a,1,2)),flip(a)]. given #4885 (H,wt=17): 5334 K(x,y) * K(y,T(x,z)) = K(x * z,K(x,y)). [para(5310(a,1),4071(a,1,2))]. given #4886 (H,wt=13): 5457 K(x * y,K(x,z)) = K(y,K(x,z)). [hyper(58,a,5255,a(flip),b,5334,a),flip(a)]. given #4887 (H,wt=13): 5458 K(x * y,K(x,z)) = K(K(z,x),y). [hyper(272,a,3867,a,b,5457,a),flip(a)]. given #4888 (H,wt=16): 5459 K(x * y,K(x,z)) != u | K(y,K(x,z)) = u. [para(5458(a,2),3873(a,1))]. given #4889 (H,wt=17): 5336 K(x,T((x * y) \ z,y)) = K(x,z / (x * y)). [hyper(58,a,5297,a(flip),b,5333,a),flip(a)]. given #4890 (H,wt=17): 5387 x / K(y,x) = K(y,z) * T(K(y,z) \ x,y). [para(5385(a,1),3921(a,1,2))]. given #4891 (H,wt=15): 5462 K(x,y) * T(K(x,y) \ z,x) = T(z,x). [hyper(2677,a,5387,a),flip(a)]. given #4892 (H,wt=15): 5463 T(K(x,y) * z,x) = K(x,y) * T(z,x). [para(4(a,1),5462(a,1,2,1)),flip(a)]. given #4893 (H,wt=15): 5467 (T(x,y) * z) / x = K(x,y) * T(z,x). [hyper(3193,a,5463,a)]. given #4894 (H,wt=15): 5471 T(K(x,y) * z,y) = K(y,x) * T(z,y). [para(28(a,1),5463(a,1,1,1))]. given #4895 (H,wt=15): 5476 T(K(x,y) * z,y) = T(y,x) \ (z * y). [hyper(272,a,3948,a,b,5471,a),flip(a)]. given #4896 (H,wt=15): 5477 T(K(x,y) * z,y) = K(x,y) * T(z,y). [para(28(a,1),5471(a,2,1))]. given #4897 (H,wt=17): 5392 (x \ 1) * K(y,x \ 1) = T(x \ 1,T(y,x)). [hyper(272,a,2652,a(flip),b,5369,a)]. given #4898 (H,wt=17): 5414 K(x,T(y \ z,u) \ 1) = T(K(x,z \ y),u). [para(4431(a,1),5246(a,2,1))]. given #4899 (H,wt=17): 5423 T(x * y,T(z,y \ 1)) = T(x * y,T(z,x)). [para(4464(a,1),5422(a,1,2))]. given #4900 (H,wt=17): 5430 T(x,y) * T(T(x,y),z) = x * T(x,T(z,y)). [hyper(114,a,5417,a(flip),b,3944,a)]. given #4901 (H,wt=17): 5440 (T(x \ 1,y) \ z) \ z = T(1 / T(x,z),y). [para(3521(a,1),5427(a,1,1)),flip(a)]. given #4902 (H,wt=17): 5454 K(x,L(T(T(y,z),z),u,w)) = K(x,L(y,u,w)). [hyper(58,a,5265,a(flip),b,5284,a)]. given #4903 (H,wt=17): 5472 K(x,y) * T(x \ z,x) = T(T(x,y) \ z,x). [para(3886(a,1),5463(a,1,1)),flip(a)]. given #4904 (H,wt=15): 5482 T(T(x,y) \ z,x) = K(x,y) * (z / x). [para(2775(a,1),5472(a,1,2)),flip(a)]. given #4905 (H,wt=17): 5473 T(x,T(y,z)) * K(y,z) = K(y,z) * T(x,y). [hyper(58,a,3703,a,b,5467,a)]. given #4906 (H,wt=13): 5485 T(T(x,y),K(z,y)) = T(x,T(y,z)). [hyper(30,a,3865,a,b,5473,a)]. given #4907 (H,wt=13): 5486 T(T(x,K(y,z)),y) = T(x,T(y,z)). [hyper(30,a,2786,a,b,5473,a)]. given #4908 (H,wt=13): 5487 T(T(x,y),K(y,z)) = T(x,T(y,z)). [hyper(30,a,2778,a,b,5473,a)]. given #4909 (H,wt=13): 5488 T(T(x,T(y,z)),K(z,y)) = T(x,y). [hyper(4064,a,5473,a(flip))]. given #4910 (H,wt=13): 5491 T(T(x,y),T(y,z)) = T(x,K(y,z)). [hyper(2856,a,5486,a),flip(a)]. given #4911 (H,wt=15): 5495 T(x,y) * K(x,K(y,z)) = T(x,T(y,z)). [hyper(58,a,5323,a,b,5487,a)]. given #4912 (H,wt=11): 5501 K(x,K(y,z)) = K(z,K(x,y)). [hyper(29,a,5419,a,b,5495,a),flip(a)]. given #4913 (H,wt=11): 5502 K(K(x,y),z) = K(x,K(y,z)). [hyper(29,a,5312,a,b,5495,a)]. given #4914 (H,wt=11): 5503 K(K(x,y),z) = K(x,K(z,y)). [hyper(3872,a,5501,a)]. given #4915 (H,wt=11): 5504 K(x,K(y,z)) = K(y,K(x,z)). [hyper(3870,a,5501,a)]. given #4916 (H,wt=11): 5505 K(x,K(y,z)) = K(z,K(y,x)). [hyper(272,a,3869,a,b,5501,a)]. given #4917 (H,wt=11): 5506 K(K(x,y),z) = K(y,K(x,z)). [hyper(272,a,3867,a,b,5501,a)]. given #4918 (H,wt=13): 5507 x * K(y,K(z,x)) = T(x,K(y,z)). [hyper(114,a,5501,a,b,2672,a(flip))]. given #4919 (H,wt=13): 5508 K(x,K(y,z)) * z = T(z,K(x,y)). [para(5501(a,2),2741(a,2,1)),flip(a)]. given #4920 (H,wt=13): 5517 K(x * y,K(x,z)) = K(z,K(x,y)). [hyper(58,a,5458,a,b,5502,a)]. given #4921 (H,wt=13): 5519 K(x,K(y,z)) * z = T(z,K(y,x)). [para(5502(a,1),3860(a,1,1))]. given #4922 (H,wt=13): 5521 K(x,K(y,z)) * y = T(y,K(x,z)). [para(5503(a,1),2692(a,2,1)),flip(a)]. given #4923 (H,wt=13): 5527 K(x,K(x * y,z)) = K(y,K(x,z)). [hyper(5459,a,5504,a),flip(a)]. given #4924 (H,wt=13): 5529 K(x,K(y,y * z)) = K(z,K(y,x)). [hyper(5459,a,5505,a),flip(a)]. given #4925 (H,wt=13): 5534 K(x,K(y,y * z)) = K(x,K(y,z)). [hyper(58,a,5505,a,b,5517,a)]. given #4926 (H,wt=13): 5535 K(x,K(y,y \ z)) = K(z,K(y,x)). [para(5(a,1),5517(a,1,1)),flip(a)]. given #4927 (H,wt=13): 5536 K(x,K(x * y,z)) = K(z,K(y,x)). [hyper(272,a,5501,a(flip),b,5527,a),flip(a)]. given #4928 (H,wt=13): 5537 K(x,K(y,z \ 1)) = K(y,K(z,x)). [para(3397(a,2),5529(a,1,2))]. given #4929 (H,wt=13): 5538 K(x,K(y,z \ 1)) = K(x,K(z,y)). [para(3397(a,2),5534(a,1,2))]. given #4930 (H,wt=13): 5539 K(x,K(y,x * z)) = K(y,K(z,x)). [hyper(3870,a,5536,a)]. given #4931 (H,wt=13): 5540 K(x,K(y,z \ 1)) = K(z,K(x,y)). [hyper(272,a,5501,a,b,5537,a),flip(a)]. given #4932 (H,wt=13): 5541 K(x,K(y,z \ 1)) = K(x,K(y,z)). [hyper(272,a,5501,a(flip),b,5537,a),flip(a)]. given #4933 (H,wt=13): 5542 K(x \ 1,K(y,z)) = K(y,K(x,z)). [hyper(58,a,5505,a,b,5537,a)]. given #4934 (H,wt=13): 5544 K(x,K(y,x * z)) = K(x,K(z,y)). [hyper(272,a,5505,a,b,5539,a),flip(a)]. given #4935 (H,wt=14): 5511 K(x,K(y,z)) != u | K(z,K(y,x)) = u. [para(5501(a,2),3870(a,1))]. given #4936 (H,wt=14): 5512 K(x,K(y,z)) != u | K(K(x,z),y) = u. [para(5501(a,1),3872(a,1))]. given #4937 (H,wt=14): 5518 K(x,K(y,z)) != u | K(z,K(x,y)) = u. [para(5502(a,1),508(a,1))]. given #4938 (H,wt=14): 5524 K(K(x,y),z) != u | K(x,K(y,z)) = u. [para(5503(a,2),3870(a,1))]. given #4939 (H,wt=14): 5525 K(x,K(y,z)) != u | K(y,K(z,x)) = u. [para(5503(a,1),3873(a,1))]. given #4940 (H,wt=15): 5498 T(T(x,y),T(y,z)) = T(x,K(y,y \ z)). [hyper(58,a,4486,a(flip),b,5491,a)]. given #4941 (H,wt=13): 5548 T(x,K(y,y \ z)) = T(x,K(y,z)). [hyper(58,a,5491,a(flip),b,5498,a),flip(a)]. given #4942 (H,wt=13): 5549 T(x,K(y,y * z)) = T(x,K(y,z)). [para(4(a,1),5548(a,1,2,2)),flip(a)]. given #4943 (H,wt=13): 5550 T(x,K(y,z * y)) = T(x,K(y,z)). [para(2889(a,1),5548(a,1,2)),flip(a)]. given #4944 (H,wt=13): 5553 T(x,K(y,z \ 1)) = T(x,K(z,y)). [para(3397(a,2),5549(a,1,2))]. given #4945 (H,wt=15): 5509 K(x,K(y,z)) / y = 1 / T(y,K(z,x)). [para(5501(a,1),2657(a,1,1))]. given #4946 (H,wt=15): 5514 K(x,K(y,z)) * K(x,z) = K(x,T(z,y)). [para(5501(a,1),5240(a,1,1))]. given #4947 (H,wt=15): 5515 K(x,y) * K(y,K(z,x)) = K(x,T(y,z)). [para(5501(a,1),5244(a,1,2))]. given #4948 (H,wt=15): 5516 K(x,y) * K(x,K(y,z)) = K(x,T(y,z)). [para(5501(a,2),5244(a,1,2))]. given #4949 (H,wt=15): 5528 K(x,y) * K(x,K(z,y)) = K(x,T(y,z)). [para(5504(a,1),5244(a,1,2))]. given #4950 (H,wt=15): 5531 K(x,K(y,K(y,z) * u)) = K(u,K(y,x)). [para(5380(a,2),5505(a,1,2))]. given #4951 (H,wt=15): 5533 T(x,K(y,z)) * z = x * T(z,K(x,y)). [hyper(114,a,5508,a(flip),b,2748,a),flip(a)]. given #4952 (H,wt=15): 5543 K(x,K(y \ z,u)) = K(x,K(u,z \ y)). [para(4431(a,1),5538(a,1,2)),flip(a)]. given #4953 (H,wt=15): 5545 K(x,K(y,z \ u)) = K(x,K(y,u \ z)). [para(4431(a,1),5541(a,1,2))]. given #4954 (H,wt=13): 5558 K(x,K(y,z \ y)) = K(z,K(y,x)). [hyper(272,a,5535,a(flip),b,5545,a),flip(a)]. given #4955 (H,wt=13): 5559 K(x,K(y,z \ y)) = K(x,K(z,y)). [hyper(272,a,5501,a(flip),b,5558,a),flip(a)]. given #4956 (H,wt=15): 5546 T(1 / x,K(y,z)) = K(y,K(x,z)) / x. [para(5542(a,1),3167(a,1,1)),flip(a)]. given #4957 (H,wt=15): 5555 T(x,K(y / z,u)) = T(x,K(u,z / y)). [para(4452(a,1),5553(a,1,2)),flip(a)]. given #4958 (H,wt=15): 5561 1 / T(x,K(y,z)) = T(1 / x,K(z,y)). [hyper(272,a,5509,a(flip),b,5546,a)]. given #4959 (H,wt=13): 5563 T(x,x * K(y,z)) = T(x,K(z,y)). [hyper(31,a,3336,a,b,5561,a)]. given #4960 (H,wt=13): 5564 T(x,x * K(y,z)) = T(x,K(y,z)). [hyper(272,a,3858,a,b,5563,a),flip(a)]. given #4961 (H,wt=8): 5565 L(x,K(y,z),x) = x. [hyper(601,a,5564,a)]. given #4962 (H,wt=11): 5569 T(x * x,K(y,z)) = x * x. [para(5565(a,1),4251(a,1,2)),flip(a)]. given #4963 (H,wt=9): 5571 K(x * x,K(y,z)) = 1. [hyper(50,a,5569,a)]. given #4964 (H,wt=8): 5574 a(x,x,K(y,z)) = 1. [hyper(4805,a,5571,a)]. given #4965 (H,wt=8): 5575 a(K(x,y),z,z) = 1. [hyper(4254,a,5574,a)]. given #4966 (H,wt=8): 5577 L(x,x,K(y,z)) = x. [hyper(47,a,5575,a)]. given #4967 (H,wt=9): 5572 K(x,K(y,z * z)) = 1. [hyper(5525,a,5571,a)]. given #4968 (H,wt=9): 5573 K(K(x * x,y),z) = 1. [hyper(5512,a,5571,a)]. given #4969 (H,wt=8): 5582 K(a(x,x,y),z) = 1. [para(4211(a,1),5573(a,1,1))]. given #4970 (H,wt=10): 5576 L(K(x,y),z,z) = K(x,y). [hyper(47,a,5574,a)]. given #4971 (H,wt=11): 5583 T(a(x,x,y),z) = a(x,x,y). [hyper(51,a,5582,a)]. given #4972 (H,wt=8): 5592 T(x,a(y,y,z)) = x. [hyper(49,a,5583,a)]. given #4973 (H,wt=8): 5599 T(x,a(y,z,z)) = x. [para(4217(a,1),5592(a,1,2))]. given #4974 (H,wt=11): 5601 T(x,a(y,z,z)) != u | x = u. [para(5599(a,1),44(a,2))]. given #4975 (H,wt=13): 5567 T(x * K(y,z),x) = K(y,z) * x. [para(5565(a,1),2338(a,1,1,1))]. given #4976 (H,wt=13): 5578 K(x,y) / (z \ 1) = K(x,y) * z. [hyper(114,a,5577,a(flip),b,5083,a(flip)),flip(a)]. given #4977 (H,wt=13): 5579 (K(x,y) * z) \ K(x,y) = z \ 1. [para(5577(a,1),5080(a,1,1)),flip(a)]. given #4978 (H,wt=13): 5580 K(x,y) * (1 / z) = K(x,y) / z. [para(5577(a,1),5088(a,1,2,2))]. given #4979 (H,wt=13): 5585 (x \ 1) \ (x \ K(y,z)) = K(y,z). [hyper(2041,a,5576,a)]. given #4980 (H,wt=13): 5586 (x \ 1) * K(y,z) = x \ K(y,z). [hyper(114,a,5576,a(flip),b,2013,a)]. given #4981 (H,wt=13): 5587 (1 / x) \ K(y,z) = x * K(y,z). [hyper(114,a,5576,a(flip),b,1998,a),flip(a)]. given #4982 (H,wt=13): 5591 K(x,y) * (x / z) = T(x,y) / z. [para(5576(a,1),5144(a,1,1))]. given #4983 (H,wt=13): 5594 a(x,x,y) * z = z * a(x,x,y). [hyper(114,a,5583,a(flip),b,2313,a(flip)),flip(a)]. given #4984 (H,wt=13): 5600 a(x,y,y) * z = z * a(x,y,y). [hyper(1665,a,5599,a),flip(a)]. given #4985 (H,wt=13): 5609 (K(x,y) * z) \ 1 = z \ K(y,x). [para(3880(a,1),5579(a,1,1)),flip(a)]. given #4986 (H,wt=13): 5610 (K(x,y) * z) \ 1 = z \ K(x,y). [para(3893(a,1),5579(a,1,1)),flip(a)]. given #4987 (H,wt=13): 5612 K(x,y) * (K(x,y) / z) = 1 / z. [hyper(3909,a,5580,a)]. given #4988 (H,wt=13): 5613 1 / (x / K(y,z)) = K(y,z) / x. [hyper(29,a,3322,a(flip),b,5580,a),flip(a)]. given #4989 (H,wt=13): 5615 (x \ K(y,z)) * K(y,z) = x \ 1. [hyper(34,a,3911,a,b,5585,a)]. given #4990 (H,wt=13): 5620 K(x,y) * (T(x,y) / z) = x / z. [hyper(3909,a,5591,a)]. given #4991 (H,wt=13): 5621 K(x,y) * (T(y,x) / z) = y / z. [hyper(3894,a,5591,a)]. given #4992 (H,wt=13): 5623 T(x,y) / (z \ x) = K(x,y) * z. [para(72(a,1),5591(a,1,2)),flip(a)]. given #4993 (H,wt=13): 5629 a(x,x,y) * z = z * a(y,x,x). [para(4244(a,2),5594(a,2,2))]. given #4994 (H,wt=13): 5630 1 / (x \ K(y,z)) = K(z,y) * x. [hyper(178,a,5609,a)]. given #4995 (H,wt=13): 5631 1 / (x \ K(y,z)) = K(y,z) * x. [hyper(178,a,5610,a)]. given #4996 (H,wt=13): 5637 K(x,y) / (x * y) = 1 / (y * x). [para(168(a,1),5613(a,1,2)),flip(a)]. given #4997 (H,wt=13): 5638 1 / (x * K(y,z)) = K(y,z) / x. [para(3923(a,1),5613(a,1,2))]. given #4998 (H,wt=13): 5640 (1 / (x * K(y,z))) \ K(y,z) = x. [hyper(30,a,74,a(flip),b,5615,a),flip(a)]. given #4999 (H,wt=13): 5644 (K(x,y) * z) \ T(x,y) = z \ x. [hyper(172,a,5623,a)]. given #5000 (H,wt=13): 5649 (x * y) \ T(x,y) = (y * x) \ x. [para(2561(a,1),5644(a,1,1))]. given #5001 (H,wt=13): 5652 (K(x,y) * z) \ y = z \ T(y,x). [para(3880(a,1),5644(a,1,1)),flip(a)]. given #5002 (H,wt=13): 5653 (K(x,y) * z) \ x = z \ T(x,y). [para(3893(a,1),5644(a,1,1)),flip(a)]. given #5003 (H,wt=13): 5656 (x * y) \ T(x,y) = T(y \ 1,x). [hyper(272,a,2258,a,b,5649,a),flip(a)]. given #5004 (H,wt=15): 5562 1 / T(x,K(y,z)) = T(1 / x,K(y,z)). [hyper(272,a,3858,a,b,5561,a),flip(a)]. given #5005 (H,wt=15): 5566 T(x \ 1,K(y,z)) = T(x,K(y,z)) \ 1. [para(5564(a,1),3388(a,1,1)),flip(a)]. given #5006 (H,wt=15): 5570 T((1 / x) \ x,K(y,z)) = (1 / x) \ x. [para(5565(a,1),4253(a,1,2)),flip(a)]. given #5007 (H,wt=15): 5581 T(K(x,y * y),z) = K(x,y * y) * 1. [hyper(114,a,5572,a(flip),b,2651,a(flip)),flip(a)]. given #5008 (H,wt=13): 5659 T(K(x,y * y),z) = K(x,y * y). [hyper(272,a,3,a(flip),b,5581,a),flip(a)]. given #5009 (H,wt=13): 5660 K(x,T(y * y,z)) = K(x,y * y). [hyper(5291,a,5659,a)]. given #5010 (H,wt=12): 5661 K(x,T(y * y,z)) = a(y,y,x). [hyper(272,a,4210,a(flip),b,5660,a),flip(a)]. given #5011 (H,wt=12): 5663 K(x * x,T(y,z)) = a(x,x,y). [hyper(5268,a,5661,a)]. given #5012 (H,wt=11): 5664 a(x,x,T(y,z)) = a(x,x,y). [hyper(4805,a,5663,a)]. given #5013 (H,wt=11): 5665 a(x,x,T(y,z)) = a(y,x,x). [hyper(272,a,4244,a,b,5664,a),flip(a)]. given #5014 (H,wt=14): 5666 T(x,y) \ T(x,y \ 1) = a(x,y,y). [hyper(58,a,4216,a(flip),b,5665,a)]. given #5015 (H,wt=11): 5668 a(x,y,x \ 1) = a(y,x,x). [hyper(58,a,4749,a(flip),b,5666,a)]. given #5016 (H,wt=12): 5669 (x * y) \ x = y \ a(x,y,y). [para(5668(a,1),5090(a,2,2))]. given #5017 (H,wt=12): 5670 (x \ a(y,x,x)) * y = x \ y. [para(5669(a,1),3299(a,1,1))]. given #5018 (H,wt=12): 5671 (x \ a(x,x,y)) * y = x \ y. [para(4244(a,1),5670(a,1,1,2))]. given #5019 (H,wt=15): 5588 (x * x) * K(y,z) = x * (x * K(y,z)). [hyper(114,a,5576,a(flip),b,13,a(flip))]. given #5020 (H,wt=15): 5593 a(x,x,y) / (z \ 1) = z * a(x,x,y). [hyper(114,a,5583,a(flip),b,2928,a),flip(a)]. given #5021 (H,wt=15): 5598 a(x,x,y) * (z * (a(x,x,y) \ 1)) = z. [hyper(4750,a,5592,a)]. given #5022 (H,wt=13): 5676 a(x,x,y) * (z * a(x,x,y)) = z. [para(4527(a,1),5598(a,1,2,2))]. given #5023 (H,wt=13): 5677 (a(x,x,y) * z) * a(x,x,y) = z. [hyper(323,a,5676,a),flip(a)]. given #5024 (H,wt=15): 5603 a(x,y,y) * (z \ 1) = z \ a(x,y,y). [para(5599(a,1),2935(a,1,1)),flip(a)]. given #5025 (H,wt=15): 5605 (K(x,y) * z) * z = z * (z * K(x,y)). [para(5567(a,1),2778(a,1,1))]. given #5026 (H,wt=15): 5607 (T(x,y) \ z) \ 1 = (x \ z) \ K(x,y). [para(3174(a,1),5579(a,1,1)),flip(a)]. given #5027 (H,wt=15): 5611 (T(x,y) \ z) \ K(x,y) = (x \ z) \ 1. [para(3886(a,1),5579(a,1,1))]. given #5028 (H,wt=15): 5614 T(x,y) * (1 / z) = x * (K(x,y) / z). [hyper(114,a,5580,a(flip),b,2748,a),flip(a)]. given #5029 (H,wt=15): 5632 K(x,y \ K(z,u)) = K(x,y \ K(u,z)). [para(5610(a,1),4443(a,1,2))]. given #5030 (H,wt=15): 5634 1 / (K(x,y) * z) = (1 / z) * K(x,y). [hyper(3073,a,5612,a),flip(a)]. given #5031 (H,wt=15): 5635 K(x,y) / (1 / z) = (z \ K(x,y)) \ 1. [para(5612(a,1),3491(a,1,2))]. given #5032 (H,wt=15): 5639 (x * K(y,z)) \ 1 = K(y,z) * (x \ 1). [hyper(3098,a,5615,a),flip(a)]. given #5033 (H,wt=15): 5641 1 / (K(x,y) / z) = (z \ 1) \ K(x,y). [para(5615(a,1),3470(a,1,1)),flip(a)]. given #5034 (H,wt=15): 5646 K(x,K(y,z) \ u) = K(x,K(y,z) * u). [para(5631(a,1),4434(a,1,2)),flip(a)]. given #5035 (H,wt=15): 5650 (T(x,y) * z) \ T(x,y) = (x * z) \ x. [para(2750(a,1),5644(a,1,1))]. given #5036 (H,wt=15): 5654 (T(x,y) * z) \ x = (x * z) \ T(x,y). [para(3888(a,1),5644(a,1,1)),flip(a)]. given #5037 (H,wt=15): 5655 (K(x,y) / z) \ x = (1 / z) \ T(x,y). [para(5612(a,1),5644(a,1,1)),flip(a)]. given #5038 (H,wt=15): 5658 (1 / T(x,y)) \ T(x,y) = (1 / x) \ x. [para(2742(a,1),5653(a,1,1)),flip(a)]. given #5039 (H,wt=15): 5662 K(x,T(y * y,z)) != u | a(x,y,y) = u. [para(5660(a,2),4255(a,1))]. given #5040 (H,wt=15): 5685 K(x,K(y,z) * u) = K(x,K(z,y) * u). [para(3882(a,1),5646(a,1,2))]. given #5041 (H,wt=15): 5686 (x * (T(x,y) / z)) \ x = z / T(x,y). [hyper(3326,a,5650,a),flip(a)]. given #5042 (H,wt=15): 5689 x / (y / T(x,z)) = x * (T(x,z) / y). [hyper(178,a,5686,a)]. given #5043 (H,wt=13): 5690 x / (y * K(x,z)) = T(x,z) / y. [hyper(3994,a,5689,a)]. given #5044 (H,wt=13): 5692 (x \ T(y,z)) * K(y,z) = x \ y. [hyper(31,a,161,a,b,5690,a),flip(a)]. given #5045 (H,wt=13): 5693 (x \ y) * K(z,y) = x \ T(y,z). [hyper(3914,a,5692,a)]. given #5046 (H,wt=13): 5698 (x \ y) \ (x \ T(y,z)) = K(y,z). [para(5692(a,1),3911(a,1,1))]. given #5047 (H,wt=13): 5702 (x \ y) * K(y,z) = x \ T(y,z). [para(28(a,1),5693(a,1,2))]. given #5048 (H,wt=13): 5709 (x / y) * (y * K(x,z)) = T(x,z). [hyper(114,a,174,a(flip),b,5702,a(flip))]. given #5049 (H,wt=15): 5691 x * (T(x,x \ y) / y) = x / (x \ y). [para(239(a,1),5689(a,1,2)),flip(a)]. given #5050 (H,wt=15): 5695 K(x,y \ T(z,z \ 1)) = K(x,y \ z). [para(5692(a,1),2425(a,1,2)),flip(a)]. given #5051 (H,wt=15): 5697 (x \ T(y,z)) * T(y,z) = (x \ y) * y. [para(5692(a,1),3699(a,1,1)),flip(a)]. given #5052 (H,wt=15): 5699 (x \ T(y,z)) * y = (x \ y) * T(y,z). [para(5692(a,1),3938(a,1,1)),flip(a)]. given #5053 (H,wt=15): 5700 (1 / (x \ y)) \ K(y,z) = x \ T(y,z). [para(5692(a,1),5640(a,1,1,2))]. given #5054 (H,wt=15): 5708 (x \ y) / T(y,z) = (y * x) \ T(y,z). [hyper(58,a,3997,a(flip),b,5702,a)]. given #5055 (H,wt=15): 5710 x \ T(x * y,z) = y * K(x * y,z). [para(4(a,1),5702(a,1,1)),flip(a)]. given #5056 (H,wt=13): 5719 K((x \ 1) \ y,z) = K(x * y,z). [hyper(4573,a,5710,a)]. given #5057 (H,wt=13): 5722 K((1 / x) * y,z) = K(x \ y,z). [para(74(a,1),5719(a,1,1,1)),flip(a)]. given #5058 (H,wt=13): 5723 K((x \ 1) * y,z) = K(x \ y,z). [hyper(58,a,2421,a(flip),b,5722,a)]. given #5059 (H,wt=15): 5712 x * (y * K(x * y,z)) = T(x * y,z). [para(6(a,1),5709(a,1,1))]. given #5060 (H,wt=15): 5714 T(x,x \ y) / y = T(y \ x,x \ y). [hyper(29,a,4909,a,b,5691,a),flip(a)]. given #5061 (H,wt=15): 5715 K(x,y \ ((z \ 1) \ 1)) = K(x,y \ z). [para(99(a,1),5695(a,1,2,2))]. given #5062 (H,wt=15): 5716 K(x,y \ (1 / z)) = K(x,y \ (z \ 1)). [para(557(a,1),5695(a,1,2,2)),flip(a)]. given #5063 (H,wt=15): 5726 T(x,x \ y) / y = T(y \ x,y / x). [hyper(272,a,1732,a,b,5714,a),flip(a)]. given #5064 (H,wt=16): 5490 T(T(x,T(y,z)),K(z,y)) != u | T(x,y) = u. [para(5485(a,1),2810(a,1,1))]. given #5065 (H,wt=12): 5731 T(x,T(y,x)) != z | T(x,y) = z. [para(1896(a,1),5490(a,1))]. given #5066 (H,wt=16): 5492 T(T(x,K(y,z)),y) != T(u,T(y,z)) | x = u. [para(5486(a,2),44(a,1))]. given #5067 (H,wt=16): 5494 T(T(x,y),T(y,z)) != u | T(x,K(y,z)) = u. [para(5486(a,1),2856(a,1))]. given #5068 (H,wt=16): 5496 T(x,T(y,z)) != u | T(T(x,y),K(z,y)) = u. [para(5487(a,1),3868(a,1))]. given #5069 (H,wt=16): 5497 T(T(x,y),K(z,y)) != u | T(x,T(y,z)) = u. [para(5488(a,1),2810(a,1,1))]. given #5070 (H,wt=16): 5522 K(x,K(y,z)) * y != u | T(y,K(x,z)) = u. [para(5503(a,1),3085(a,1,1))]. given #5071 (H,wt=16): 5560 K(x,K(y,z \ y)) != u | K(x,K(z,y)) = u. [para(5558(a,2),5518(a,1))]. given #5072 (H,wt=16): 5595 x * a(y,y,z) != u | a(y,y,z) * x = u. [para(5583(a,1),248(a,1,2))]. given #5073 (H,wt=16): 5596 a(x,x,y) * z != u | z * a(x,x,y) = u. [para(5583(a,1),2808(a,1,1))]. given #5074 (H,wt=16): 5602 a(x,y,y) * z != u | z * a(x,y,y) = u. [para(5599(a,1),248(a,1,2))]. given #5075 (H,wt=14): 5735 L(x,y,x) != z | x * a(y,x,x) = z. [para(3809(a,1),5602(a,1))]. given #5076 (H,wt=16): 5604 x * a(y,z,z) != u | a(y,z,z) * x = u. [para(5599(a,1),2808(a,1,1))]. given #5077 (H,wt=16): 5606 K(x,y) / (z \ 1) != u | K(x,y) * z = u. [para(5579(a,1),280(a,1,2))]. given #5078 (H,wt=16): 5608 (x \ 1) * K(y,z) != u | x \ K(y,z) = u. [para(5579(a,1),3319(a,1,1))]. given #5079 (H,wt=16): 5627 a(x,x,y) * (x * (x * y)) = (x * x) * y. [hyper(272,a,79,a(flip),b,5594,a),flip(a)]. given #5080 (H,wt=16): 5636 K(x,y) * (1 / z) != u | K(x,y) / z = u. [para(5612(a,1),3919(a,1,2))]. given #5081 (H,wt=16): 5678 x * a(y,y,z) != u | a(y,y,z) * u = x. [para(5677(a,1),39(a,1)),flip(a)]. given #5082 (H,wt=16): 5694 x \ y != z * K(y,u) | x \ T(y,u) = z. [para(5692(a,1),39(a,1))]. given #5083 (H,wt=16): 5706 (x \ y) * K(y,z) != u | x \ T(y,z) = u. [para(5698(a,1),230(a,1,2))]. given #5084 (H,wt=16): 5733 T(x,K(y,y \ z)) != u | T(x,K(y,z)) = u. [para(5498(a,1),5494(a,1))]. given #5085 (H,wt=16): 5734 x * a(y,z,z) != u | a(z,z,y) * x = u. [para(4244(a,2),5595(a,1,2))]. given #5086 (H,wt=17): 5478 x \ (K(y,x) * (z * x)) = T(K(y,x) * z,x). [hyper(272,a,3892,a,b,5476,a)]. given #5087 (H,wt=15): 5737 (K(x,y) * z) * y = K(x,y) * (z * y). [hyper(33,a,17,a(flip),b,5478,a)]. given #5088 (H,wt=8): 5738 L(x,y,K(z,x)) = x. [hyper(2469,a,5737,a)]. given #5089 (H,wt=8): 5740 L(x,y,K(x,z)) = x. [para(28(a,1),5738(a,1,3))]. given #5090 (H,wt=14): 5743 L(R(x,y,z),u,K(x,w)) = R(x,y,z). [para(5740(a,1),24(a,1,1)),flip(a)]. given #5091 (H,wt=15): 5741 (K(x,y) * z) / y = K(x,y) * (z / y). [para(5738(a,1),471(a,1,2))]. given #5092 (H,wt=15): 5742 (K(x,y) * z) * x = K(x,y) * (z * x). [hyper(114,a,5740,a(flip),b,13,a(flip))]. given #5093 (H,wt=10): 5747 R(K(x,y),z,x) = K(x,y). [hyper(453,a,5742,a)]. given #5094 (H,wt=15): 5744 (K(x,y) * z) / x = K(x,y) * (z / x). [para(5740(a,1),471(a,1,2))]. given #5095 (H,wt=17): 5479 K(x,T(y \ z,u) \ 1) = K(x,T(z \ y,u)). [hyper(272,a,5238,a,b,5414,a),flip(a)]. given #5096 (H,wt=17): 5480 x / T(1 / T(y,x),z) = T(y \ 1,z) \ x. [hyper(178,a,5440,a)]. given #5097 (H,wt=17): 5483 T(x,K(y,z)) / T(y,z) = K(y,z) * (x / y). [hyper(58,a,4972,a,b,5482,a)]. given #5098 (H,wt=17): 5484 x * (K(x,y) * (z / x)) = (T(x,y) \ z) * x. [hyper(114,a,5482,a(flip),b,17,a(flip))]. given #5099 (H,wt=15): 5750 (T(x,y) \ z) * x = T(x,y) * (z / x). [hyper(3192,a,5484,a),flip(a)]. given #5100 (H,wt=17): 5493 (1 / T(x,K(y,z))) * y = y / T(x,T(y,z)). [para(5486(a,1),2242(a,1,2)),flip(a)]. given #5101 (H,wt=17): 5499 T(T(x,y / z),z \ y) = T(x,K(y / z,z)). [para(100(a,1),5491(a,1,2))]. given #5102 (H,wt=17): 5510 K(x,K(y,z)) * (z * u) = T(z,K(x,y)) * u. [para(5501(a,2),2750(a,1,1))]. given #5103 (H,wt=17): 5523 (x * y) * K(z,K(y,u)) = x * T(y,K(z,u)). [para(5503(a,1),3659(a,1,2))]. given #5104 (H,wt=17): 5532 K(K(x,y),T(z,x) * u) = K(y,K(x,z * u)). [para(5377(a,1),5506(a,2,2))]. given #5105 (H,wt=17): 5547 (x * y) * K(x,K(y,z)) = T(x * y,K(x,z)). [para(5544(a,1),5507(a,1,2))]. given #5106 (H,wt=15): 5755 T(x * y,K(x,z)) = x * T(y,K(x,z)). [hyper(58,a,5523,a(flip),b,5547,a),flip(a)]. given #5107 (H,wt=15): 5756 T(x,K(y,z)) / y = T(x / y,K(y,z)). [hyper(2204,a,5755,a)]. given #5108 (H,wt=15): 5757 T(x * y,K(y,z)) / y = T(x,K(y,z)). [para(6(a,1),5756(a,2,1))]. given #5109 (H,wt=15): 5758 T(x * y,K(y,z)) = T(x,K(y,z)) * y. [hyper(125,a,5757,a),flip(a)]. given #5110 (H,wt=15): 5759 T(x * y,K(y,z)) = T(x,K(z,y)) * y. [hyper(272,a,3864,a,b,5758,a),flip(a)]. given #5111 (H,wt=15): 5761 T(x * y,K(y,z)) = x * T(y,K(x,z)). [hyper(272,a,5533,a(flip),b,5759,a),flip(a)]. given #5112 (H,wt=17): 5551 T(T(x,y * z),K(y,z)) = T(x,T(y * z,y)). [hyper(58,a,5485,a(flip),b,5549,a),flip(a)]. given #5113 (H,wt=17): 5554 T(T(x,T(y * z,z)),K(z,y)) = T(x,y * z). [hyper(58,a,5488,a(flip),b,5550,a),flip(a)]. given #5114 (H,wt=17): 5617 x * ((y \ 1) * K(z,u)) = x * (y \ K(z,u)). [para(5585(a,1),137(a,1,2,2))]. given #5115 (H,wt=17): 5622 K(x,y) * (x \ (x / z)) = x \ (T(x,y) / z). [hyper(112,a,5591,a(flip),b,3197,a),flip(a)]. given #5116 (H,wt=17): 5624 K(x,y) * (x \ (x / z)) = T(x,y) / (z * x). [para(3305(a,1),5591(a,1,2))]. given #5117 (H,wt=15): 5763 T(x,y) / (z * x) = x \ (T(x,y) / z). [hyper(58,a,5622,a(flip),b,5624,a),flip(a)]. given #5118 (H,wt=17): 5628 x * (a(y,y,z) * u) = x * (u * a(y,y,z)). [hyper(114,a,5594,a,b,4,a)]. given #5119 (H,wt=17): 5643 K(x,x \ y) * ((y / x) / z) = (x \ y) / z. [para(2775(a,1),5621(a,1,2,1))]. given #5120 (H,wt=15): 5766 K(x,(y / x) / z) = K(x,(x \ y) / z). [para(5643(a,1),5380(a,1,2)),flip(a)]. given #5121 (H,wt=17): 5647 ((x * y) * (x * y)) * (1 / (y * x)) = y * x. [para(5637(a,1),3271(a,1,2))]. given #5122 (H,wt=15): 5767 ((x * y) * (x * y)) / (y * x) = y * x. [hyper(3384,a,5647,a)]. given #5123 (H,wt=17): 5651 T(x,K(y,z)) \ T(y,z) = (x * K(z,y)) \ y. [para(2981(a,1),5644(a,1,1))]. given #5124 (H,wt=17): 5657 (K(x,x \ y) * z) \ (x \ y) = z \ (y / x). [para(2775(a,1),5652(a,2,2))]. given #5125 (H,wt=15): 5769 (x * (y / x)) \ (x \ y) = y \ (y / x). [para(3762(a,1),5657(a,1,1))]. given #5126 (H,wt=17): 5683 (1 / (x / y)) * K(x,z) = 1 / (T(x,z) / y). [para(5591(a,1),5634(a,1,2)),flip(a)]. given #5127 (H,wt=17): 5687 x \ T(x,K(y,z) * u) = K(x,K(z,y) * u). [hyper(2686,a,5685,a)]. given #5128 (H,wt=15): 5772 T(x,K(y,z) * u) = T(x,K(z,y) * u). [hyper(33,a,2672,a(flip),b,5687,a)]. given #5129 (H,wt=17): 5688 K(x,K(y,z) * (z * u)) = K(x,T(z,y) * u). [para(2750(a,1),5685(a,1,2)),flip(a)]. given #5130 (H,wt=13): 5775 K(x,T(y,z) * z) = K(x,z * y). [para(2561(a,1),5688(a,1,2)),flip(a)]. given #5131 (H,wt=15): 5777 T(x,T(y,z) * z) = x * K(x,z * y). [hyper(114,a,5775,a(flip),b,2672,a(flip)),flip(a)]. given #5132 (H,wt=13): 5778 T(x,T(y,z) * z) = T(x,z * y). [hyper(272,a,2674,a,b,5777,a),flip(a)]. given #5133 (H,wt=16): 5779 T(x,T(y,z) * z) != u | T(x,z * y) = u. [para(5777(a,2),2737(a,1))]. given #5134 (H,wt=14): 5780 T(x,y * x) != z | T(x,x * y) = z. [para(5364(a,1),5779(a,1))]. given #5135 (H,wt=17): 5701 K(x,y) * (z \ T(y,x)) = T(z \ y,K(x,y)). [hyper(215,a,5693,a,b,3893,a),flip(a)]. given #5136 (H,wt=17): 5704 (x \ (y \ z)) * K(y,y \ z) = x \ (z / y). [para(2775(a,1),5693(a,2,2))]. given #5137 (H,wt=15): 5782 T(x,y \ (1 / z)) = T(x,y \ (z \ 1)). [para(5704(a,1),3644(a,1,2))]. given #5138 (H,wt=12): 5783 T(x,y \ (1 / y)) = L(x,y,y). [hyper(272,a,4401,a(flip),b,5782,a),flip(a)]. given #5139 (H,wt=15): 5784 T(x,y \ ((z \ 1) \ 1)) = T(x,y \ z). [para(72(a,1),5782(a,1,2,2)),flip(a)]. given #5140 (H,wt=15): 5786 T(x * y,x \ (1 / x)) = (x \ 1) \ y. [hyper(272,a,2002,a(flip),b,5783,a),flip(a)]. given #5141 (H,wt=17): 5705 T(x \ 1,y) * K(y,z) = (x * y) \ T(y,z). [hyper(114,a,5698,a(flip),b,2280,a)]. given #5142 (H,wt=17): 5707 x * ((y \ 1) * K(x,z)) = T(y,x) \ T(x,z). [hyper(58,a,4305,a(flip),b,5702,a)]. given #5143 (H,wt=15): 5789 T(x,y) \ T(y,z) = y * (x \ K(y,z)). [hyper(58,a,5617,a(flip),b,5707,a),flip(a)]. given #5144 (H,wt=17): 5711 K(x,y) * ((y \ T(x,y)) \ z) = (y \ x) \ z. [para(5702(a,1),4445(a,1,2,1))]. given #5145 (H,wt=17): 5721 T(x * K(y * x,z),y) = y \ T(x * y,z). [para(5710(a,1),2206(a,1,1))]. given #5146 (H,wt=17): 5732 T(x,T(y,y * x)) != z | T(x,L(y,x,y)) = z. [para(598(a,1),5731(a,1,2))]. given #5147 (H,wt=17): 5753 T(T(x,y \ z),z / y) = T(x,K(z / y,y)). [hyper(354,a,5499,a)]. given #5148 (H,wt=17): 5774 T(x,K(y,z) * (z * u)) = T(x,T(z,y) * u). [para(2750(a,1),5772(a,1,2)),flip(a)]. given #5149 (H,wt=17): 5776 K(x,((y * z) / y) * u) = K(x,T(z,y) * u). [para(3185(a,1),5688(a,1,2))]. given #5150 (H,wt=15): 5794 K(x,T(T(y,z),z) * u) = K(x,y * u). [para(206(a,1),5776(a,1,2,1)),flip(a)]. given #5151 (H,wt=17): 5790 x * (T(y,x) \ (1 / x)) = y \ K(x,x \ 1). [hyper(5110,a,5789,a)]. given #5152 (H,wt=15): 5795 x \ K(y,y \ 1) = ((y * x) \ 1) * y. [hyper(58,a,4649,a(flip),b,5790,a),flip(a)]. given #5153 (H,wt=17): 5791 K(x,y) * ((T(y,x) \ x) \ z) = (y \ x) \ z. [para(2245(a,2),5711(a,1,2,1))]. given #5154 (H,wt=17): 5792 T(T(x,y \ z),z / y) = T(x,K(y,z / y)). [hyper(272,a,3858,a,b,5753,a),flip(a)]. given #5155 (H,wt=17): 5793 T(x,(y * K(z,y)) * u) = T(x,T(y,z) * u). [para(2700(a,2),5774(a,1,2))]. given #5156 (H,wt=15): 5798 T(x,T(T(y,z),z) * u) = T(x,y * u). [para(2745(a,1),5793(a,1,2,1)),flip(a)]. given #5157 (H,wt=17): 5797 T(T(x,y \ z),z / y) = T(x,K(y,y \ z)). [para(2890(a,1),5792(a,2,2))]. given #5158 (H,wt=15): 5799 T(T(x,y \ z),z / y) = T(x,K(y,z)). [hyper(272,a,5548,a(flip),b,5797,a),flip(a)]. given #5159 (H,wt=15): 5800 T(T(x,y \ z),K(y,z)) = T(x,z / y). [para(2765(a,1),5799(a,1,1)),flip(a)]. given #5160 (H,wt=18): 5280 x / K(y,T(z,u)) != w | x * K(z,T(y,u)) = w. [para(5239(a,1),3916(a,1,2))]. given #5161 (H,wt=18): 5294 K(x,T(y,z)) != u \ w | u * K(T(x,z),y) = w. [para(5257(a,1),4205(a,1))]. given #5162 (H,wt=18): 5351 K(x,L(T(y,x),z,u)) != w | K(x,L(y,z,u)) = w. [para(20(a,2),5347(a,1,2))]. given #5163 (H,wt=18): 5352 K(x,R(T(y,x),z,u)) != w | K(x,R(y,z,u)) = w. [para(22(a,2),5347(a,1,2))]. given #5164 (H,wt=18): 5355 T(x,y) \ T(T(x,z),y) != u | K(x,T(z,y)) = u. [para(2734(a,2),5338(a,1))]. given #5165 (H,wt=18): 5416 K(x,y \ (z \ y)) != u | K(x,T(z \ 1,y)) = u. [para(5259(a,1),5338(a,1))]. given #5166 (H,wt=18): 5420 T(x,T(y,z)) != T(x,y) * u | K(K(x,y),z) = u. [para(5312(a,1),38(a,1))]. given #5167 (H,wt=18): 5431 K(x,y) * T(T(x,y),z) != u | T(x,T(z,y)) = u. [para(5417(a,1),3919(a,1,2))]. given #5168 (H,wt=18): 5433 T(x,T(y,z)) != T(x,y) * u | K(z,K(x,y)) = u. [para(5419(a,1),38(a,1))]. given #5169 (H,wt=18): 5453 K(x,(x \ y) * (x \ y)) = x * (1 / L(x,y,y)). [para(5407(a,1),4120(a,1,2)),flip(a)]. given #5170 (H,wt=17): 5801 a(x,x \ y,x \ y) = x * (1 / L(x,y,y)). [hyper(4255,a,5453,a)]. given #5171 (H,wt=18): 5460 K(x,y) * K(y,T(x,z)) != u | K(z,K(x,y)) = u. [para(5334(a,2),5459(a,1))]. given #5172 (H,wt=18): 5597 x * a(y,y,z) != u | a(y,y,z) / (x \ 1) = u. [para(5583(a,1),3245(a,1,2))]. given #5173 (H,wt=18): 5633 K(x,y \ K(z,u)) != w | K(x,y \ K(u,z)) = w. [para(5610(a,1),4492(a,1,2))]. given #5174 (H,wt=18): 5648 L(x,K(y,z),x) = (1 / (x * K(u,w))) \ K(u,w). [hyper(272,a,5565,a,b,5640,a)]. given #5175 (H,wt=18): 5718 x \ T(y,z) != u \ K(y,z) | 1 / (x \ y) = u. [para(5700(a,1),43(a,1))]. given #5176 (H,wt=18): 5720 x * (y * K(x * y,z)) != u | T(x * y,z) = u. [para(5710(a,1),230(a,1,2))]. given #5177 (H,wt=18): 5727 L(x \ y,x \ y,x \ y) = T(y,y \ x) / x. [hyper(2037,a,5714,a(flip))]. given #5178 (H,wt=18): 5736 (x \ y) / T(y,z) != u | (y * x) \ T(y,z) = u. [para(3997(a,1),5706(a,1))]. given #5179 (H,wt=18): 5745 (K(x,y) * z) * x != u | K(x,y) * (z * x) = u. [para(5740(a,1),251(a,1,2))]. given #5180 (H,wt=18): 5762 T(x * y,K(y,z)) != x * u | T(y,K(x,z)) = u. [para(5761(a,2),38(a,1))]. given #5181 (H,wt=18): 5768 (x * y) * (x * y) != z | (y * x) * (y * x) = z. [para(5767(a,1),227(a,1,1))]. given #5182 (H,wt=18): 5773 K(x,K(y,z) * u) != w | K(x,K(z,y) * u) = w. [para(5687(a,1),2691(a,1))]. given #5183 (H,wt=19): 5254 K(K(x,y),z) * (K(x,y) * u) = K(x,T(y,z)) * u. [para(5238(a,2),2750(a,2,1))]. given #5184 (H,wt=19): 5304 K(x,T(y,z)) * K(y,u) = K(y,u) * K(x,T(y,z)). [para(1896(a,1),5236(a,1,2,2)),flip(a)]. given #5185 (H,wt=19): 5317 K(x,L(T(y,z),u,w)) * z = z * K(x,L(y,u,w)). [para(20(a,2),5252(a,1,1,2))]. given #5186 (H,wt=19): 5324 K(x,T(T(y,z),u)) * T(y,u) = T(T(y,u),T(x,z)). [para(18(a,1),5273(a,1,1,2))]. given #5187 (H,wt=19): 5391 T(x,(y * x) * (z * x)) = T(x,x * ((y * z) * x)). [para(2815(a,1),5364(a,1,2)),flip(a)]. given #5188 (H,wt=19): 5415 K(x,R(x,y,z) \ (u \ R(x,y,z))) = K(x,u \ 1). [para(155(a,1),5259(a,1,1)),flip(a)]. given #5189 (H,wt=19): 5426 (x * (y \ z)) \ T(x,z \ y) = T(y \ z,x) \ 1. [para(4459(a,1),5370(a,1,2))]. given #5190 (H,wt=19): 5434 K(x,T(y,z * (u / x))) = K(x,T(y,z * (x \ u))). [para(3661(a,1),5425(a,1,2,2))]. given #5191 (H,wt=19): 5446 (x * T(y \ 1,z)) \ x = x \ (x / T(1 / y,z)). [para(5438(a,1),4121(a,1,2,2)),flip(a)]. given #5192 (H,wt=19): 5449 K(x,y) * (L(y,z,u) * x) = L(y,z,u) * T(x,y). [para(156(a,1),5441(a,2,2,2))]. given #5193 (H,wt=19): 5456 K(x,R((y * z) / y,u,w)) = K(x,R(T(z,y),u,w)). [para(205(a,1),5298(a,1,2,1,1)),flip(a)]. given #5194 (H,wt=19): 5464 K(x / (y * K(z,u)),z) = (y * T(y \ x,z)) / x. [para(5462(a,1),3753(a,1,1,2)),flip(a)]. given #5195 (H,wt=15): 5809 K(x / (y * K(z,u)),z) = K(x / y,z). [hyper(272,a,3752,a(flip),b,5464,a),flip(a)]. given #5196 (H,wt=15): 5810 K(x / (K(y,z) * u),z) = K(x / u,z). [para(5233(a,1),5809(a,1,1,2)),flip(a)]. given #5197 (H,wt=19): 5465 K((x * K(y,z)) \ u,y) = u \ (x * T(x \ u,y)). [para(5462(a,1),3848(a,1,2,2)),flip(a)]. given #5198 (H,wt=15): 5812 K((x * K(y,z)) \ u,y) = K(x \ u,y). [hyper(272,a,3675,a(flip),b,5465,a),flip(a)]. given #5199 (H,wt=15): 5815 K((K(x,y) * z) \ u,y) = K(z \ u,y). [para(5233(a,1),5812(a,1,1,1)),flip(a)]. given #5200 (H,wt=17): 5814 K((T(x,y) * z) \ u,y) = K((x * z) \ u,y). [para(3982(a,1),5812(a,1,1,1)),flip(a)]. given #5201 (H,wt=19): 5466 K(x,(y * K(x,z)) \ u) = (y * T(y \ u,x)) \ u. [para(5462(a,1),4073(a,1,1,2)),flip(a)]. given #5202 (H,wt=15): 5817 K(x,(y * K(x,z)) \ u) = K(x,y \ u). [hyper(272,a,3918,a(flip),b,5466,a),flip(a)]. given #5203 (H,wt=15): 5818 K(x,(y * x) \ z) = K(x,(x * y) \ z). [para(81(a,1),5817(a,1,2,1)),flip(a)]. given #5204 (H,wt=15): 5820 K(x,(K(y,x) * z) \ u) = K(x,z \ u). [para(5233(a,1),5817(a,1,2,1)),flip(a)]. given #5205 (H,wt=15): 5821 K(x,(K(x,y) * z) \ u) = K(x,z \ u). [para(5236(a,1),5817(a,1,2,1))]. given #5206 (H,wt=19): 5469 x \ ((x * T(x,y)) * z) = K(x,y) * T(z * x,x). [hyper(58,a,5200,a(flip),b,5463,a)]. given #5207 (H,wt=19): 5481 K(x,L(T(y \ z,y),u,w)) = K(x,L(z / y,u,w)). [para(100(a,1),5454(a,1,2,1,1))]. given #5208 (H,wt=19): 5500 T(x,K(y,z)) \ T(y,z) = T(y,z) * (T(x,y) \ 1). [para(5491(a,1),2935(a,1,1))]. given #5209 (H,wt=17): 5822 T(x,K(y,z)) \ T(y,z) = K(y,z) * (x \ y). [hyper(272,a,3206,a(flip),b,5500,a),flip(a)]. given #5210 (H,wt=15): 5823 (x * K(y,z)) \ z = K(z,y) * (x \ z). [hyper(58,a,5651,a(flip),b,5822,a)]. given #5211 (H,wt=17): 5824 K(x,y) * ((z \ 1) \ x) = (z \ K(y,x)) \ x. [para(5586(a,1),5823(a,1,1)),flip(a)]. given #5212 (H,wt=19): 5513 (x * K(y,K(z,u))) / K(y,z) = x / T(K(y,z),u). [para(5501(a,2),3933(a,1,1,2))]. given #5213 (H,wt=19): 5530 K(x,K(y,z)) * (K(y,x) * u) = T(K(y,x),z) * u. [para(5505(a,1),2694(a,1,1))]. given #5214 (H,wt=17): 5825 T(K(x,y),z) * T(y,x) = K(y,K(x,z)) * y. [para(2668(a,1),5530(a,1,2)),flip(a)]. given #5215 (H,wt=15): 5826 T(K(x,y),z) * T(y,x) = T(y,K(x,z)). [hyper(272,a,2741,a,b,5825,a),flip(a)]. given #5216 (H,wt=15): 5827 K(x,T(y,z)) * T(y,x) = T(y,K(x,z)). [para(5238(a,2),5826(a,1,1))]. given #5217 (H,wt=15): 5828 T(K(x,T(y,z)) * y,x) = T(y,K(x,z)). [hyper(58,a,5463,a,b,5827,a)]. given #5218 (H,wt=15): 5829 T(x * K(y,T(x,z)),y) = T(x,K(y,z)). [para(4063(a,1),5828(a,1,1))]. given #5219 (H,wt=19): 5552 T(K(x * y,x) * z,K(x,y)) = z * K(x * y,x). [hyper(58,a,3728,a(flip),b,5549,a),flip(a)]. given #5220 (H,wt=19): 5556 K(x,T(y,z)) * T(K(z,x),y) = K(x,y) * K(z,x). [para(5515(a,1),3927(a,1,1))]. given #5221 (H,wt=19): 5590 (x * (K(y,z) * u)) / u = u * ((u \ x) * K(y,z)). [para(5576(a,1),2027(a,1,2,2)),flip(a)]. given #5222 (H,wt=19): 5682 (x \ 1) * (K(x \ 1,y) / x) = T(1 / x,y) / x. [hyper(58,a,4338,a(flip),b,5614,a),flip(a)]. given #5223 (H,wt=17): 5831 (x \ 1) * T(1 / x,y) = T(1 / x,y) / x. [para(3167(a,1),5682(a,1,2))]. given #5224 (H,wt=19): 5713 (x * y) * (K(y,x) * K(y * x,z)) = T(y * x,z). [para(168(a,1),5709(a,1,1))]. given #5225 (H,wt=19): 5724 (x * y) * K(x * y,z) = x * (y * K(x * y,z)). [hyper(272,a,2674,a(flip),b,5712,a)]. given #5226 (H,wt=19): 5728 (((x \ y) \ 1) \ 1) \ z = (T(y,y \ x) / x) \ z. [para(5714(a,2),1554(a,1,1)),flip(a)]. given #5227 (H,wt=19): 5748 (x * x) * (K(x,y) * (z / x)) = (K(x,y) * z) * x. [hyper(114,a,5744,a(flip),b,3263,a)]. given #5228 (H,wt=19): 5760 T(x / T(y,x),K(x,z)) = T(1 / y,K(x,z)) * x. [para(2242(a,2),5758(a,1,1))]. given #5229 (H,wt=19): 5764 ((1 / x) / y) * (1 / x) = ((x \ 1) / y) * (x \ 1). [para(5643(a,1),1780(a,1,1)),flip(a)]. given #5230 (H,wt=19): 5765 (x / y) * ((x / y) / z) = (y \ x) * ((y \ x) / z). [para(5643(a,1),3157(a,1,2)),flip(a)]. given #5231 (H,wt=19): 5770 (T(x,x \ y) / z) \ (y / x) = (x / z) \ (x \ y). [para(5620(a,1),5657(a,1,1)),flip(a)]. given #5232 (H,wt=19): 5787 T(x,y \ T(1 / z,u)) = T(x,y \ T(z \ 1,u)). [para(1616(a,1),5784(a,1,2,2)),flip(a)]. given #5233 (H,wt=19): 5804 K(x,K(y,z)) * (K(z,y) * u) = K(z,T(y,x)) * u. [para(3867(a,1),5254(a,1,1))]. given #5234 (H,wt=19): 5805 K(x,K(y,z)) * (K(x,y) * u) = K(x,T(y,z)) * u. [para(5502(a,1),5254(a,1,1))]. given #5235 (H,wt=19): 5806 T((x * y) / x,z) \ y = K(y,x) * K(z,T(y,x)). [hyper(58,a,5171,a,b,5304,a)]. given #5236 (H,wt=19): 5807 (x \ (x / T(1 / y,z))) * x = T(y \ 1,z) \ x. [para(5446(a,1),3299(a,1,1))]. given #5237 (H,wt=19): 5811 K(x,y / (K(z,x) * u)) = w / (K(y / u,x) * w). [para(5810(a,1),3883(a,1,2,1)),flip(a)]. given #5238 (H,wt=15): 5841 K(x,y / (K(z,x) * u)) = K(x,y / u). [hyper(272,a,3883,a(flip),b,5811,a),flip(a)]. given #5239 (H,wt=15): 5842 K(x,y / ((x \ z) * x)) = K(x,y / z). [para(2555(a,1),5841(a,1,2,2))]. given #5240 (H,wt=15): 5843 K(x,y / (z * x)) = K(x,y / (x * z)). [para(2561(a,1),5841(a,1,2,2))]. given #5241 (H,wt=15): 5844 K(x,y / (x * (z / x))) = K(x,y / z). [para(76(a,1),5842(a,1,2,2)),flip(a)]. given #5242 (H,wt=19): 5813 K((x * ((y * z) / y)) \ u,y) = K((x * z) \ u,y). [para(3660(a,1),5812(a,1,1,1))]. given #5243 (H,wt=19): 5819 K(x,(y * (z / x)) \ u) = K(x,(y * (x \ z)) \ u). [para(3661(a,1),5817(a,1,2,1))]. given #5244 (H,wt=19): 5830 K(x,T(y,z)) * K(z,T(x,y)) = K(x,y) * K(z,x). [para(5238(a,2),5556(a,1,2))]. given #5245 (H,wt=19): 5834 (x * x) * (K(x,y) * (z / x)) = K(x,y) * (z * x). [hyper(272,a,5742,a(flip),b,5748,a),flip(a)]. given #5246 (H,wt=19): 5835 T(x / T(y,x),K(x,z)) = (1 / T(y,K(x,z))) * x. [para(5562(a,2),5760(a,2,1))]. given #5247 (H,wt=17): 5847 T(x / T(y,x),K(x,z)) = x / T(y,T(x,z)). [hyper(272,a,5493,a(flip),b,5835,a),flip(a)]. given #5248 (H,wt=17): 5848 x / T(T(y,x),T(x,z)) = T(x / y,K(x,z)). [para(2765(a,1),5847(a,1,1,2)),flip(a)]. given #5249 (H,wt=15): 5849 x / T(y,K(x,z)) = T(x / y,K(x,z)). [para(5491(a,1),5848(a,1,2))]. given #5250 (H,wt=19): 5837 T(x \ y,x / y) \ (x / y) = (y / x) \ (y \ x). [para(5726(a,1),5770(a,1,1))]. given #5251 (H,wt=17): 5850 (x / y) * ((x \ y) \ 1) = (y / x) \ (y \ x). [hyper(3049,a,5837,a)]. given #5252 (H,wt=19): 5846 K(x,y) * ((z * x) * x) = (x * x) * (K(x,y) * z). [para(6(a,1),5834(a,1,2,2)),flip(a)]. given #5253 (H,wt=20): 5325 K(L((x \ y) / z,z,x),u) = K((x * z) \ y,T(u,z)). [para(742(a,2),5274(a,1,1))]. given #5254 (H,wt=20): 5332 x \ y != K(z,u) * w | x * (w * K(z,T(u,w))) = y. [para(5303(a,1),3904(a,2,2))]. given #5255 (H,wt=20): 5335 x \ y != K(z,T(u,w)) * w | x * (w * K(z,u)) = y. [para(5315(a,1),3904(a,2,2))]. given #5256 (H,wt=20): 5344 K(L(T(x,y),z,u),T(w,y)) != v5 | K(L(x,z,u),w) = v5. [para(20(a,2),5337(a,1,1))]. given #5257 (H,wt=20): 5345 K(T(x,y),L(T(z,y),u,w)) != v5 | K(x,L(z,u,w)) = v5. [para(20(a,2),5337(a,1,2))]. given #5258 (H,wt=20): 5346 K(T(x,y),R(T(z,y),u,w)) != v5 | K(x,R(z,u,w)) = v5. [para(22(a,2),5337(a,1,2))]. given #5259 (H,wt=20): 5455 K(T(x,y),L(z,u,w)) != v5 | K(x,L(T(z,y),u,w)) = v5. [para(5296(a,1),5337(a,1))]. given #5260 (H,wt=20): 5526 (x * y) * K(z,K(y,u)) != w | x * T(y,K(z,u)) = w. [para(5503(a,1),4266(a,1,2))]. given #5261 (H,wt=20): 5618 x * ((y \ 1) * K(z,u)) != w | x * (y \ K(z,u)) = w. [para(5585(a,1),288(a,1,2,2))]. given #5262 (H,wt=20): 5642 K(x,y) * (x / z) != u * w | u \ (T(x,y) / z) = w. [para(5620(a,1),3920(a,1,2))]. given #5263 (H,wt=20): 5703 x \ T(y,z) != K(z,y) * u | T(x \ y,K(z,y)) = u. [para(5693(a,1),216(a,2)),flip(a)]. given #5264 (H,wt=20): 5729 K(x,y \ L(z,z,u)) = K(x,y \ (u \ (u / (1 / z)))). [para(5079(a,1),5715(a,1,2,2)),flip(a)]. given #5265 (H,wt=20): 5802 a(x,x \ y,x \ y) != x * z | 1 / L(x,y,y) = z. [para(5801(a,2),38(a,1))]. given #5266 (H,wt=20): 5808 K(x,((y * z) * u) / (y * u)) = K(x,R(T(z,y),y,u)). [para(94(a,1),5456(a,1,2))]. given #5267 (H,wt=20): 5816 K(L(x \ y,x,K(z,u)),u) = K(x \ (K(z,u) * y),u). [para(89(a,2),5815(a,1,1))]. given #5268 (H,wt=21): 4651 (x \ 1) / (x * ((1 / x) / y)) = T(1 / (x / y),x \ 1). [para(4639(a,1),3031(a,2,2)),flip(a)]. given #5269 (H,wt=21): 4682 ((x \ 1) * y) * (x \ (1 / x)) = (x \ (y / x)) * (1 / x). [para(3582(a,1),4680(a,1,1)),flip(a)]. given #5270 (H,wt=19): 5853 ((x \ 1) * y) * (x \ (1 / x)) = (x * x) \ (x \ y). [hyper(272,a,4030,a(flip),b,4682,a),flip(a)]. given #5271 (H,wt=21): 4708 (x * x) \ ((y * x) * (y * x)) = (y * ((1 / x) \ y)) / x. [hyper(113,a,4590,a(flip),b,3250,a),flip(a)]. given #5272 (H,wt=21): 4718 (x * (y \ 1)) * (x * (y \ 1)) = (x * (y \ x)) * (y \ 1). [para(72(a,1),4619(a,1,1,2,1)),flip(a)]. given #5273 (H,wt=19): 5856 (x * (y \ 1)) * (x * (y \ 1)) = (y \ x) * (y \ x). [hyper(272,a,3018,a(flip),b,4718,a),flip(a)]. given #5274 (H,wt=19): 5857 ((x \ 1) * y) * ((x \ 1) * y) = (x \ y) * (x \ y). [hyper(5768,a,5856,a)]. given #5275 (H,wt=21): 4753 L((x * x) * y,x,x) != z \ u | z * (x * (x * y)) = u. [para(3635(a,2),3016(a,2)),flip(a)]. given #5276 (H,wt=21): 4797 (x * x) \ (x * (y * T(x,z))) = ((1 / x) \ y) / T(x,z). [para(4796(a,1),3293(a,1,2))]. given #5277 (H,wt=19): 5860 ((1 / x) \ y) / T(x,z) = (1 / x) * (y * T(x,z)). [hyper(3354,a,4797,a),flip(a)]. given #5278 (H,wt=19): 5861 T(x,y \ 1) * K(y,z) = (1 / y) * (x * T(y,z)). [hyper(58,a,3999,a(flip),b,5860,a)]. given #5279 (H,wt=21): 4812 ((x \ 1) \ y) * (z * T(x,x \ 1)) = x * ((y * z) * x). [hyper(58,a,310,a(flip),b,3154,a)]. given #5280 (H,wt=21): 4816 K(x,R(y \ 1,z,u) \ 1) * w = R(K(y,x),z,u) \ w. [para(4815(a,1),3882(a,1,1)),flip(a)]. given #5281 (H,wt=21): 4837 x \ y != z * a(x,x,u) | x \ (z * T(x * x,u)) = y. [para(4836(a,1),42(a,1)),flip(a)]. given #5282 (H,wt=21): 4853 (x \ 1) * (y \ (x \ (1 / x))) = x \ (((x * y) \ 1) / x). [para(4852(a,1),1137(a,1,2))]. given #5283 (H,wt=21): 4854 x * (T(x,y) * ((1 / x) * z)) = K(x,y) * ((x \ 1) \ z). [hyper(114,a,4032,a(flip),b,3908,a)]. given #5284 (H,wt=19): 5862 x * (T(x,y) * ((1 / x) * z)) = (T(x,y) \ 1) \ z. [hyper(272,a,5218,a(flip),b,4854,a),flip(a)]. given #5285 (H,wt=19): 5863 T(x,y) * ((1 / x) * z) = x * ((1 / T(x,y)) * z). [hyper(29,a,4033,a,b,5862,a),flip(a)]. given #5286 (H,wt=21): 4861 T((x * y) / (1 / y),x * y) = 1 / ((y \ (x \ 1)) / y). [para(4858(a,2),3063(a,2,2))]. given #5287 (H,wt=19): 5864 T(x * (x * y),y * x) = 1 / ((x \ (y \ 1)) / x). [para(3574(a,1),4861(a,1,1))]. given #5288 (H,wt=19): 5865 T(x * (y * y),x * y) = 1 / ((y \ (x \ 1)) / y). [para(2956(a,2),5864(a,1,1))]. given #5289 (H,wt=19): 5866 T(x * (y * y),x * y) = 1 / ((x * y) \ (1 / y)). [para(4858(a,1),5865(a,2,2))]. given #5290 (H,wt=17): 5867 T(x * (y * y),x * y) = (1 / (y * x)) \ y. [hyper(272,a,4862,a(flip),b,5866,a),flip(a)]. given #5291 (H,wt=21): 4895 (((x \ y) \ 1) \ 1) / (x \ 1) = (x / (1 / y)) * (1 / x). [para(4891(a,1),4644(a,1,1))]. given #5292 (H,wt=21): 4938 x * T(y * (z * (1 / y)),y) = K(y,y \ 1) * (x * z). [para(4937(a,2),2148(a,2,2)),flip(a)]. given #5293 (H,wt=21): 4944 (x * (x * T(y,z))) * K(y,z) = y * T(x * x,K(y,z)). [para(2956(a,1),4942(a,1,1))]. given #5294 (H,wt=17): 5870 (x * (x * T(y,z))) * K(y,z) = y * (x * x). [para(5569(a,1),4944(a,2,2))]. given #5295 (H,wt=21): 4947 (x \ L(x,y,z)) \ (x \ 1) = 1 / L((x \ 1) \ 1,y,z). [para(985(a,1),4348(a,1,1))]. given #5296 (H,wt=17): 5872 (x \ L(x,y,z)) \ (x \ 1) = L(x,y,z) \ 1. [hyper(272,a,4951,a(flip),b,4947,a),flip(a)]. given #5297 (H,wt=17): 5873 (L(x,y,z) \ x) * (x \ 1) = L(x,y,z) \ 1. [hyper(58,a,4343,a(flip),b,5872,a)]. given #5298 (H,wt=21): 4966 ((L(x,y,z) \ 1) \ 1) / x = x * (a(x \ 1,z,y) / x). [hyper(113,a,4428,a(flip),b,3480,a)]. given #5299 (H,wt=19): 5875 ((L(x,y,z) \ 1) \ 1) / x = (x \ 1) * L(x,y,z). [hyper(272,a,3579,a(flip),b,4966,a),flip(a)]. given #5300 (H,wt=21): 4978 (((x \ 1) \ 1) \ (1 / y)) / (x \ 1) = (1 / (y / x)) / x. [hyper(272,a,4886,a(flip),b,4569,a),flip(a)]. given #5301 (H,wt=17): 5876 (1 / (x * y)) / (y \ 1) = (1 / (x / y)) / y. [para(4169(a,1),4978(a,1,1))]. given #5302 (H,wt=17): 5877 (1 / (x * y)) / (y \ 1) = (1 / y) / (y \ x). [hyper(272,a,4645,a(flip),b,5876,a),flip(a)]. given #5303 (H,wt=21): 5016 L(x * (y * x),y,y) != z | (y \ 1) \ (x * T(x,y)) = z. [para(5011(a,1),2010(a,1,1))]. given #5304 (H,wt=21): 5019 (x * T(x,y)) * T(y,y \ 1) = T(x * (y * x),y \ 1). [para(5011(a,1),3878(a,1,1)),flip(a)]. given #5305 (H,wt=21): 5031 (x * ((x / (1 / y)) / y)) / (1 / y) = ((1 / y) \ x) * x. [hyper(58,a,1169,a(flip),b,5028,a)]. given #5306 (H,wt=21): 5054 T((1 / x) * ((1 / x) * y),x) = x * ((x * x) \ (y / x)). [hyper(272,a,3527,a,b,4969,a),flip(a)]. given #5307 (H,wt=21): 5055 ((x \ 1) * (x \ 1)) * ((1 / x) * y) = (x \ (y / x)) / x. [hyper(58,a,4046,a,b,4970,a)]. given #5308 (H,wt=21): 5059 (((x \ 1) \ 1) \ y) * T(x,z) = T(y,x \ 1) * K(x,z). [para(5058(a,1),3664(a,1,1)),flip(a)]. given #5309 (H,wt=21): 5069 T(x * ((1 / y) * x),y \ 1) = (x * T(x,y \ 1)) / y. [para(5015(a,1),1979(a,1,1))]. given #5310 (H,wt=21): 5103 T(x \ (y \ (1 / y)),y \ 1) = (y \ (x \ 1)) * (1 / y). [para(4286(a,1),5066(a,1,1))]. given #5311 (H,wt=19): 5882 T(x \ (y \ (1 / y)),y \ 1) = y \ ((y * x) \ 1). [hyper(272,a,4727,a(flip),b,5103,a),flip(a)]. given #5312 (H,wt=21): 5106 ((x * ((1 / y) * x)) * y) * y = y * (x * T(x,y \ 1)). [para(5068(a,1),2778(a,1,1))]. given #5313 (H,wt=19): 5883 ((x * ((1 / y) * x)) * y) * y = x * ((1 / y) \ x). [hyper(272,a,5168,a(flip),b,5106,a),flip(a)]. given #5314 (H,wt=19): 5884 (x * ((y * (x \ 1)) * y)) * x = y * ((1 / x) \ y). [para(5105(a,1),5883(a,1,1))]. given #5315 (H,wt=17): 5885 T(x,y) * T(y * x,y) = x * ((1 / y) \ x). [hyper(58,a,2940,a(flip),b,5884,a)]. given #5316 (H,wt=16): 5886 L(x,y,y) * (y * x) = x * ((1 / y) \ x). [hyper(58,a,4594,a(flip),b,5885,a)]. given #5317 (H,wt=18): 5887 (L(x,y,y) * (y * x)) \ 1 = x \ ((x * y) \ 1). [para(5886(a,2),4977(a,1,1))]. given #5318 (H,wt=17): 5888 (x * y) \ ((x * y) \ x) = y \ ((y * x) \ 1). [hyper(58,a,4763,a(flip),b,5887,a)]. given #5319 (H,wt=19): 5889 (x * y) \ ((x * y) \ 1) = x \ (y \ ((y * x) \ 1)). [hyper(112,a,5888,a(flip),b,4382,a),flip(a)]. given #5320 (H,wt=21): 5116 x * ((((x \ 1) * y) * z) * x) = y * (z * ((x \ 1) \ 1)). [hyper(1143,a,5115,a),flip(a)]. given #5321 (H,wt=21): 5143 R(x,y \ z,T(y,y \ z)) = (R(x,z / y,y) * u) / u. [hyper(272,a,6,a,b,5141,a),flip(a)]. given #5322 (H,wt=20): 5893 R(x,y \ z,T(y,y \ z)) != u | R(x,z / y,y) = u. [para(5143(a,2),279(a,1))]. given #5323 (H,wt=21): 5172 (x * x) * (K(y,x \ 1) * z) = x * (T(1 / x,y) \ z). [para(2369(a,1),4002(a,1,2,1))]. given #5324 (H,wt=21): 5193 x * ((y * (y * (z / x))) * x) = T(z,x) * ((x * y) * y). [hyper(272,a,3280,a,b,4326,a),flip(a)]. given #5325 (H,wt=21): 5210 x \ ((x * y) * ((x \ 1) * (x \ 1))) = y * (x \ (1 / x)). [para(684(a,2),5207(a,1,2,2))]. given #5326 (H,wt=21): 5269 K(L((x \ y) \ y,z,u),w) = K(L(x,z,u),T(w,x \ y)). [para(271(a,1),5239(a,1,1))]. given #5327 (H,wt=21): 5300 T(x * K(y,x),L(y,z,u)) = T(x,L(y,z,u)) * K(y,x). [para(5266(a,1),3221(a,1,2)),flip(a)]. given #5328 (H,wt=21): 5322 (x / (y / z)) * K(u,z \ y) = x / T(y / z,T(u,z)). [para(5267(a,1),3931(a,1,2))]. given #5329 (H,wt=21): 5395 (T(x,y) * z) / T(x,x * z) = (1 / x) * (T(x,y) * z). [para(5371(a,1),2242(a,1,2))]. given #5330 (H,wt=21): 5450 K(x,K(y,z)) * (K(y,u) * x) = K(y,u) * T(x,K(y,z)). [para(1494(a,1),5441(a,2,2,2))]. given #5331 (H,wt=21): 5451 (x * (y * (1 / x))) / (x \ y) = T(x \ 1,x \ y) \ 1. [hyper(58,a,3838,a,b,5443,a)]. given #5332 (H,wt=19): 5895 (x * (y * (1 / x))) / (x \ y) = (T(x,y) \ 1) \ 1. [hyper(272,a,3444,a(flip),b,5451,a),flip(a)]. given #5333 (H,wt=21): 5468 T(K(x \ y,x) * z,x \ y) = (y / x) \ (z * (x \ y)). [hyper(272,a,4080,a(flip),b,5463,a),flip(a)]. given #5334 (H,wt=21): 5470 T(K(x,y) * L(z,u,w),x) = K(x,y) * L(T(z,x),u,w). [para(20(a,2),5463(a,2,2))]. given #5335 (H,wt=21): 5474 K(x / y,y) * T(z,x / y) = ((y \ x) * z) / (x / y). [para(100(a,1),5467(a,1,1,1)),flip(a)]. given #5336 (H,wt=19): 5896 ((x \ y) * z) / (y / x) = (x \ y) \ (z * (y / x)). [hyper(58,a,4078,a(flip),b,5474,a),flip(a)]. given #5337 (H,wt=21): 5475 (K(x,y) * T(z,x)) * K(x,u) = (T(x,y) * z) / T(x,u). [para(5467(a,1),3987(a,1,1))]. given #5338 (H,wt=21): 5557 K(x,K(y,z)) * (K(y,u) * x) = T(K(y,u) * x,K(y,z)). [para(5531(a,1),5519(a,1,1))]. given #5339 (H,wt=19): 5898 T(K(x,y) * z,K(x,u)) = K(x,y) * T(z,K(x,u)). [hyper(58,a,5450,a(flip),b,5557,a),flip(a)]. given #5340 (H,wt=19): 5899 T(K(x,y) * z,K(u,x)) = K(x,y) * T(z,K(x,u)). [hyper(3868,a,5898,a)]. given #5341 (H,wt=18): 5901 T(K(x,y) * z,K(y,x)) != u | z * K(x,y) = u. [para(5899(a,2),248(a,1))]. given #5342 (H,wt=19): 5900 T(K(x,y) * z,K(u,x)) = K(x,y) * T(z,K(u,x)). [para(28(a,1),5899(a,2,2,2))]. given #5343 (H,wt=21): 5625 T(x,y) / T(z \ 1,x * z) = K(x,y) * ((z \ 1) \ x). [para(3547(a,1),5591(a,1,2)),flip(a)]. given #5344 (H,wt=19): 5902 T(x,y) / T(z \ 1,x * z) = (z \ K(y,x)) \ x. [hyper(272,a,5824,a(flip),b,5625,a),flip(a)]. given #5345 (H,wt=21): 5684 T(K(x,y) * (z \ 1),z * K(x,y)) = 1 / (z * K(x,y)). [para(5639(a,1),2775(a,1,1))]. given #5346 (H,wt=19): 5903 T(K(x,y) * (z \ 1),z * K(x,y)) = K(x,y) / z. [hyper(272,a,5638,a(flip),b,5684,a),flip(a)]. given #5347 (H,wt=21): 5717 (T(x,y) / z) * T(T(x,y) / z,z) = z \ ((z \ x) * x). [para(5697(a,1),5027(a,2,2))]. given #5348 (H,wt=21): 5730 (x \ 1) * (x \ K(y,x \ (x \ 1))) = T(x \ (1 / x),y). [para(5716(a,1),4044(a,1,2,2))]. given #5349 (H,wt=18): 5905 (x \ 1) * (x \ a(y,x,x)) = T(x \ (1 / x),y). [para(4405(a,1),5730(a,1,2,2))]. given #5350 (H,wt=17): 5906 (x \ 1) * ((y * x) \ y) = T(x \ (1 / x),y). [para(5669(a,2),5905(a,1,2))]. given #5351 (H,wt=21): 5751 (T(x,y) * (z / x)) * K(x,u) = (T(x,y) \ z) * T(x,u). [para(5750(a,1),3664(a,1,1))]. given #5352 (H,wt=21): 5754 K(x,K(y,z)) * (T(z,y) * u) = T(T(z,y),K(x,y)) * u. [para(2887(a,1),5510(a,1,1,2))]. given #5353 (H,wt=19): 5908 K(x,K(y,z)) * (T(z,y) * u) = T(z,T(y,x)) * u. [para(5485(a,1),5754(a,2,1))]. given #5354 (H,wt=21): 5781 L(x,y,z * (u \ (1 / w))) = L(x,y,z * (u \ (w \ 1))). [para(5704(a,1),2453(a,1,3,2))]. given #5355 (H,wt=19): 5909 L(x,y,z * (u \ (1 / z))) = L(x,y,z \ (u \ z)). [para(4358(a,1),5781(a,2,3))]. given #5356 (H,wt=21): 5785 T(x,y \ ((z \ K(u,w)) \ 1)) = T(x,y \ (K(u,w) * z)). [para(5631(a,1),5782(a,1,2,2)),flip(a)]. given #5357 (H,wt=21): 5796 (x \ 1) * (K(y,y \ 1) * z) = (((y * x) \ 1) * y) * z. [para(5795(a,1),2131(a,2,1))]. given #5358 (H,wt=21): 5833 T(x,y \ z) * (1 / (y \ z)) = (T(z,z \ y) / y) \ x. [hyper(58,a,4279,a(flip),b,5728,a)]. given #5359 (H,wt=19): 5910 T(x,y \ z) / (z \ y) = (T(y,y \ z) / z) \ x. [hyper(58,a,4472,a(flip),b,5833,a)]. given #5360 (H,wt=19): 5911 (T(x,x \ y) / y) \ (y / x) = (y / x) / (y \ x). [para(226(a,1),5910(a,1,1)),flip(a)]. given #5361 (H,wt=15): 5912 (x / y) / (x \ y) = (y / x) \ (y \ x). [hyper(58,a,5770,a(flip),b,5911,a),flip(a)]. given #5362 (H,wt=21): 5852 x \ ((1 / ((1 / x) / y)) / x) = T(1 / (x / y),x \ 1). [hyper(58,a,5043,a(flip),b,4651,a)]. given #5363 (H,wt=21): 5854 (x \ 1) * ((x \ 1) * ((x \ 1) * y)) = (x * x) \ (x \ y). [hyper(3614,a,5853,a)]. given #5364 (H,wt=19): 5914 (x \ 1) * (y * (x \ (1 / x))) = (x * x) \ (x \ y). [para(3027(a,1),5854(a,1,2))]. given #5365 (H,wt=21): 5855 ((x * x) \ (y * x)) * (y * x) = (y * ((1 / x) \ y)) / x. [hyper(58,a,4409,a(flip),b,4708,a)]. given #5366 (H,wt=17): 5916 (x * ((1 / y) \ x)) / y = (x / y) * (x * y). [para(3263(a,1),5855(a,1,1)),flip(a)]. given #5367 (H,wt=21): 5868 ((1 / x) * ((x \ y) \ 1)) \ 1 = (x / (1 / y)) * (1 / x). [hyper(58,a,4133,a(flip),b,4895,a)]. given #5368 (H,wt=19): 5917 (x * ((y \ 1) / x)) \ 1 = (x / (1 / y)) * (1 / x). [para(4743(a,1),5868(a,1,1))]. given #5369 (H,wt=21): 5874 (L(1 / x,y,z) \ 1) / x = L(1 / x,y,z) \ (1 / x). [hyper(315,a,5873,a)]. given #5370 (H,wt=21): 5879 T((1 / x) * ((1 / x) * y),x) = x * (((x * x) \ y) / x). [para(3267(a,2),5054(a,2,2))]. given #5371 (H,wt=21): 5880 ((1 / x) * (1 / x)) * ((1 / x) * y) = (x \ (y / x)) / x. [para(4115(a,2),5055(a,1,1))]. given #5372 (H,wt=21): 5881 (((x \ 1) \ 1) \ y) * T(x,z) = (1 / x) * (y * T(x,z)). [hyper(272,a,5861,a(flip),b,5059,a),flip(a)]. given #5373 (H,wt=21): 5890 x * (y \ (z \ ((z * y) \ 1))) = (y * z) \ ((y * z) \ x). [hyper(114,a,5889,a(flip),b,4383,a)]. given #5374 (H,wt=21): 5894 x \ ((x * y) * ((x \ 1) * (x \ 1))) = (y / x) * (1 / x). [hyper(272,a,4680,a,b,5210,a),flip(a)]. given #5375 (H,wt=21): 5904 (T(x,y) / z) * T(T(x,y) / z,z) = (z \ x) * (x / z). [hyper(272,a,5026,a(flip),b,5717,a),flip(a)]. given #5376 (H,wt=19): 5924 (x \ T(y,z)) * (T(y,z) / x) = (x \ y) * (y / x). [hyper(5035,a,5904,a)]. given #5377 (H,wt=21): 5907 T(x,y) * ((z / x) * K(x,u)) = (T(x,y) \ z) * T(x,u). [hyper(58,a,4313,a(flip),b,5751,a)]. given #5378 (H,wt=19): 5925 (T(x,y) \ z) * T(x,u) = T(x,y) * (z / T(x,u)). [para(3987(a,1),5907(a,1,2)),flip(a)]. given #5379 (H,wt=21): 5913 x \ (((x \ (y \ 1)) \ 1) / x) = T(1 / (x / y),x \ 1). [para(4896(a,1),5852(a,1,2,1))]. given #5380 (H,wt=19): 5926 T(1 / (x / y),x \ 1) = T(y \ 1,x) \ (1 / x). [hyper(58,a,5205,a(flip),b,5913,a),flip(a)]. given #5381 (H,wt=21): 5915 (x \ 1) * (y \ (x \ (1 / x))) = (x * x) \ (x \ (y \ 1)). [para(4286(a,1),5914(a,1,2))]. given #5382 (H,wt=19): 5927 (x * x) \ (x \ (y \ 1)) = x \ (((x * y) \ 1) / x). [hyper(58,a,4853,a(flip),b,5915,a),flip(a)]. given #5383 (H,wt=17): 5928 (x \ 1) * (x \ (y \ 1)) = ((x * y) \ 1) / x. [hyper(3560,a,5927,a)]. given #5384 (H,wt=21): 5918 (x * ((T(y,x) \ 1) / x)) \ 1 = ((y \ 1) \ x) * (1 / x). [para(3511(a,1),5917(a,2,1))]. given #5385 (H,wt=19): 5929 ((x \ y) * (1 / y)) \ 1 = ((x \ 1) \ y) * (1 / y). [para(3540(a,1),5918(a,1,1))]. given #5386 (H,wt=19): 5930 ((x \ 1) \ y) * (1 / y) = y * (((y \ x) \ 1) \ 1). [hyper(58,a,4160,a(flip),b,5929,a),flip(a)]. given #5387 (H,wt=21): 5919 (L(1 / x,y,z) \ 1) / x = 1 / (x * L(x \ 1,y,z)). [hyper(272,a,4424,a,b,5874,a),flip(a)]. given #5388 (H,wt=19): 5931 x / (x * L(x \ 1,y,z)) = L(1 / x,y,z) \ 1. [hyper(32,a,2270,a,b,5919,a)]. given #5389 (H,wt=19): 5932 (x * L(x \ 1,y,z)) \ x = L(1 / x,y,z) \ 1. [hyper(2614,a,5931,a)]. given #5390 (H,wt=15): 5933 L(1 / x,y,z) \ 1 = a(x,z,y) \ x. [para(1178(a,2),5932(a,1,1)),flip(a)]. given #5391 (H,wt=21): 5920 T((1 / x) * ((1 / x) * y),x) = (x \ ((x * x) \ y)) * x. [hyper(272,a,2828,a,b,5879,a),flip(a)]. given #5392 (H,wt=21): 5934 a(x,a(y,z,u) \ y,w) = a(x,1 / L(1 / y,u,z),w). [para(5933(a,1),2605(a,2,2)),flip(a)]. given #5393 (H,wt=21): 5935 (1 / x) * ((1 / x) * ((1 / x) * y)) = x \ ((x * x) \ y). [hyper(377,a,5920,a)]. given #5394 (H,wt=21): 5936 a(x,L(y \ 1,z,u) \ 1,w) = a(x,a(y,u,z) \ y,w). [para(4960(a,1),5934(a,2,2)),flip(a)]. given #5395 (H,wt=22): 2756 T(x,y) * K(y * L(x,z,u),T(x,y)) = R(x,y,L(x,z,u)). [hyper(1391,a,2685,a),flip(a)]. given #5396 (H,wt=22): 2763 T(x * K(y,x),(x * K(y,x)) * y) = L(x,y,x * K(y,x)). [para(2685(a,1),596(a,1,1)),flip(a)]. given #5397 (H,wt=22): 2821 (x \ ((1 / x) \ y)) * L(z,x,x) = x \ T((y * z) * x,x). [para(2774(a,2),2048(a,2,2))]. given #5398 (H,wt=19): 5937 (x \ ((1 / x) \ y)) * L(z,x,x) = L(y * z,x,x). [hyper(272,a,2918,a(flip),b,2821,a),flip(a)]. given #5399 (H,wt=16): 5939 L(x,y,y) * L(z,y,y) = L(x * z,y,y). [para(1998(a,1),5937(a,1,1))]. given #5400 (H,wt=16): 5943 L(L(x,y,y) * z,y,y) = x * L(z,y,y). [para(2965(a,1),5939(a,1,1)),flip(a)]. given #5401 (H,wt=17): 5945 L(x * (y * y),z,z) = L(x,z,z) * (y * y). [para(3373(a,1),5939(a,1,2)),flip(a)]. given #5402 (H,wt=17): 5949 L(K(x,y) * z,u,u) = K(x,y) * L(z,u,u). [para(5576(a,1),5939(a,1,1)),flip(a)]. given #5403 (H,wt=17): 5950 L(x * K(y,z),u,u) = L(x,u,u) * K(y,z). [para(5576(a,1),5939(a,1,2)),flip(a)]. given #5404 (H,wt=10): 5963 K(x,L(y,z,z)) = K(x,y). [hyper(29,a,3650,a,b,5950,a(flip))]. given #5405 (H,wt=11): 5969 K(x,T(y,z * z)) = K(x,y). [para(2952(a,2),5963(a,1,2))]. given #5406 (H,wt=12): 5965 T(x,L(y,z,z)) = x * K(x,y). [hyper(114,a,5963,a(flip),b,2672,a(flip)),flip(a)]. given #5407 (H,wt=10): 5976 T(x,L(y,z,z)) = T(x,y). [hyper(272,a,2674,a,b,5965,a),flip(a)]. given #5408 (H,wt=12): 5987 T(x,L(y,z \ 1,z)) = T(x,y). [para(3113(a,2),5976(a,1,2))]. given #5409 (H,wt=13): 5967 K(x,(1 / y) * z) = K(x,y \ z). [para(1996(a,1),5963(a,1,2)),flip(a)]. given #5410 (H,wt=13): 5968 K(x,(y \ 1) \ z) = K(x,y * z). [para(2002(a,1),5963(a,1,2))]. given #5411 (H,wt=13): 5971 K(x,T(y,z \ 1)) = K(x,T(y,z)). [para(2792(a,1),5963(a,1,2))]. given #5412 (H,wt=13): 5972 K(x,y \ T(z,y)) = K(x,z / y). [para(2933(a,1),5963(a,1,2))]. given #5413 (H,wt=13): 5973 K(x,y * (z \ 1)) = K(x,y / z). [para(3112(a,1),5963(a,1,2)),flip(a)]. given #5414 (H,wt=13): 5977 T(x,L(y,z,z)) != u | T(x,y) = u. [para(5965(a,2),2737(a,1))]. given #5415 (H,wt=13): 5982 T(x,(1 / y) * z) = T(x,y \ z). [para(1996(a,1),5976(a,1,2)),flip(a)]. given #5416 (H,wt=13): 5983 T(x,(y \ 1) \ z) = T(x,y * z). [para(2002(a,1),5976(a,1,2))]. given #5417 (H,wt=13): 5984 T(x,y / (1 / z)) = T(x,y * z). [para(2020(a,1),5976(a,1,2)),flip(a)]. given #5418 (H,wt=13): 5985 T(x,T(y,z \ 1)) = T(x,T(y,z)). [para(2792(a,1),5976(a,1,2))]. given #5419 (H,wt=13): 5986 T(x,y \ T(z,y)) = T(x,z / y). [para(2933(a,1),5976(a,1,2))]. given #5420 (H,wt=13): 5988 T(x,y * (z \ 1)) = T(x,y / z). [para(3112(a,1),5976(a,1,2)),flip(a)]. given #5421 (H,wt=13): 5999 T(K(x,y),z \ 1) = K(x,T(y,z)). [hyper(5412,a,5971,a)]. given #5422 (H,wt=13): 6008 T(x,x * (1 / y)) = T(x,y \ x). [hyper(5780,a,5982,a)]. given #5423 (H,wt=12): 6019 T(x,x * (1 / L(x,y,z))) = x. [hyper(272,a,2507,a(flip),b,6008,a),flip(a)]. given #5424 (H,wt=13): 6009 T(x,(y \ 1) * z) = T(x,y \ z). [hyper(58,a,3646,a(flip),b,5982,a)]. given #5425 (H,wt=13): 6022 T(x,(1 / y) \ z) = T(x,y * z). [para(74(a,1),6009(a,1,2,1)),flip(a)]. given #5426 (H,wt=13): 6028 T(x,T(y * z,z)) = T(x,z * y). [para(2773(a,2),6022(a,1,2))]. given #5427 (H,wt=13): 6029 T(x,y * (z / y)) = T(x,T(z,y)). [para(2920(a,2),6022(a,1,2)),flip(a)]. given #5428 (H,wt=13): 6035 T(x,T(y * z,y)) = T(x,z * y). [para(2806(a,1),6029(a,1,2)),flip(a)]. given #5429 (H,wt=13): 6042 T(x,y / (z \ 1)) = T(x,y * z). [para(680(a,1),6035(a,1,2))]. given #5430 (H,wt=13): 6044 T(x,y * (1 / z)) = T(x,y / z). [para(74(a,1),6042(a,1,2,2)),flip(a)]. given #5431 (H,wt=14): 5975 K(x,L(y,z,z) \ 1) = K(x,y \ 1). [para(3798(a,1),5963(a,1,2))]. given #5432 (H,wt=14): 5990 T(x,L(y,z,z) \ 1) = T(x,y \ 1). [para(3798(a,1),5976(a,1,2))]. given #5433 (H,wt=14): 6004 T(x,(y \ 1) \ 1) != z | T(x,y) = z. [para(2012(a,1),5977(a,1,2))]. given #5434 (H,wt=14): 6046 T(x,1 / y) != z | T(x,y \ 1) = z. [para(2826(a,1),6004(a,1,2))]. given #5435 (H,wt=15): 5966 L(x,y,y) * K(z,x) = T(L(x,y,y),z). [hyper(114,a,5963,a(flip),b,2651,a(flip))]. given #5436 (H,wt=15): 5974 K(x,(y * y) * z) = K(x,y * (y * z)). [para(3559(a,1),5963(a,1,2)),flip(a)]. given #5437 (H,wt=15): 5978 T(x / L(y,z,z),y) = L(y,z,z) \ x. [hyper(581,a,5976,a),flip(a)]. given #5438 (H,wt=15): 5980 T(x,(y * y) \ z) = T(x,y \ (y \ z)). [para(254(a,1),5976(a,1,2))]. given #5439 (H,wt=15): 5989 T(x,(y * y) * z) = T(x,y * (y * z)). [para(3559(a,1),5976(a,1,2)),flip(a)]. given #5440 (H,wt=15): 5994 K(x,(y \ z) / y) = K(x,y \ (z / y)). [para(376(a,1),5967(a,1,2))]. given #5441 (H,wt=15): 5997 K(x,(y * z) * y) = K(x,y * (z * y)). [para(3502(a,1),5968(a,1,2))]. given #5442 (H,wt=15): 5998 K(x,(y * z) * z) = K(x,z * (z * y)). [para(3503(a,1),5968(a,1,2))]. given #5443 (H,wt=15): 6001 K(x,T(y,z \ u)) = K(x,T(y,u \ z)). [para(4459(a,1),5971(a,1,2))]. given #5444 (H,wt=13): 6054 K(x,T(y,z \ y)) = K(x,T(y,z)). [hyper(5342,a,6001,a),flip(a)]. given #5445 (H,wt=13): 6055 K(x,T(y,z \ x)) = K(x,T(y,z)). [hyper(5340,a,6001,a),flip(a)]. given #5446 (H,wt=15): 6002 T(x,y * (z \ 1)) = x * K(x,y / z). [hyper(114,a,5973,a(flip),b,2672,a(flip)),flip(a)]. given #5447 (H,wt=15): 6011 T(x,(y \ z) / y) = T(x,y \ (z / y)). [para(376(a,1),5982(a,1,2))]. given #5448 (H,wt=15): 6014 T(x,(y * z) * y) = T(x,y * (z * y)). [para(3502(a,1),5983(a,1,2))]. given #5449 (H,wt=15): 6015 T(x,(y * z) * z) = T(x,z * (z * y)). [para(3503(a,1),5983(a,1,2))]. given #5450 (H,wt=15): 6017 T(x * y,T(z,y)) = T(x * y,T(z,x)). [hyper(58,a,5423,a(flip),b,5985,a),flip(a)]. given #5451 (H,wt=15): 6018 T(x,(y * (z \ 1)) \ 1) = T(x,z / y). [hyper(58,a,4471,a,b,5986,a)]. given #5452 (H,wt=15): 6021 T(x,(y \ 1) / z) = T(x,y \ (z \ 1)). [hyper(58,a,5988,a(flip),b,6009,a)]. given #5453 (H,wt=15): 6034 T(T(x,y * z),K(y,z)) = T(x,z * y). [para(6028(a,1),5554(a,1,1))]. given #5454 (H,wt=15): 6036 T(x,T(y * z,y)) = x * K(x,z * y). [hyper(272,a,2674,a(flip),b,6035,a),flip(a)]. given #5455 (H,wt=13): 6064 K(x,T(y * z,y)) = K(x,z * y). [hyper(2751,a,6036,a)]. given #5456 (H,wt=13): 6066 K(x,(y \ z) * y) = K(x,T(z,y)). [para(5(a,1),6064(a,1,2,1)),flip(a)]. given #5457 (H,wt=13): 6067 K(x,y / (z \ 1)) = K(x,y * z). [para(680(a,1),6064(a,1,2))]. given #5458 (H,wt=13): 6070 K(x,y * (z / y)) = K(x,T(z,y)). [para(2828(a,1),6066(a,1,2))]. given #5459 (H,wt=13): 6072 K(x,y * (1 / z)) = K(x,y / z). [para(74(a,1),6067(a,1,2,2)),flip(a)]. given #5460 (H,wt=13): 6073 K(x,T(y * z,z)) = K(x,z * y). [para(6(a,1),6070(a,1,2,2)),flip(a)]. given #5461 (H,wt=13): 6076 K(x,(1 / y) \ z) = K(x,y * z). [para(2773(a,1),6073(a,1,2))]. given #5462 (H,wt=13): 6081 K(x,(y \ 1) * z) = K(x,y \ z). [para(72(a,1),6076(a,1,2,1)),flip(a)]. given #5463 (H,wt=14): 6079 a(x,y \ 1,y \ 1) = K(x,y * y). [hyper(58,a,4406,a,b,6076,a)]. given #5464 (H,wt=13): 6083 a(x,y \ 1,y \ 1) = a(x,y,y). [hyper(272,a,4243,a(flip),b,6079,a),flip(a)]. given #5465 (H,wt=15): 6038 K(x,T(y * z,y)) = x \ T(x,z * y). [hyper(112,a,6035,a(flip),b,2674,a(flip)),flip(a)]. given #5466 (H,wt=15): 6043 K(T(x * y,x),z) = z / T(z,y * x). [para(6035(a,1),2670(a,2,2))]. given #5467 (H,wt=13): 6085 K(T(x * y,x),z) = K(y * x,z). [hyper(272,a,2670,a,b,6043,a),flip(a)]. given #5468 (H,wt=13): 6086 K(x * y,T(z,x)) = K(y * x,z). [hyper(5338,a,6085,a)]. given #5469 (H,wt=13): 6087 K(x * y,T(z,y)) = K(y * x,z). [hyper(5337,a,6085,a),flip(a)]. given #5470 (H,wt=13): 6089 K(x / (y \ 1),z) = K(x * y,z). [para(680(a,1),6085(a,1,1))]. given #5471 (H,wt=13): 6091 K(x * (1 / y),z) = K(x / y,z). [para(74(a,1),6089(a,1,1,2)),flip(a)]. given #5472 (H,wt=13): 6092 K(x * (y \ 1),z) = K(x / y,z). [hyper(58,a,2420,a(flip),b,6091,a)]. given #5473 (H,wt=13): 6093 K(x / (1 / y),z) = K(x * y,z). [para(74(a,1),6092(a,1,1,2)),flip(a)]. given #5474 (H,wt=15): 6049 L(x,y,y) * K(x,z) = T(L(x,y,y),z). [para(28(a,1),5966(a,1,2))]. given #5475 (H,wt=10): 6094 K(L(x,y,y),z) = K(x,z). [hyper(29,a,2674,a(flip),b,6049,a)]. given #5476 (H,wt=15): 6053 K(x,(y * z) * z) = K(x,y * (z * z)). [para(2956(a,2),5998(a,2,2))]. given #5477 (H,wt=15): 6058 K(x * y,T(z,y)) = K(x * y,T(z,x)). [para(4(a,1),6055(a,1,2,2))]. given #5478 (H,wt=15): 6062 T(x,(1 / y) / z) = T(x,(z * y) \ 1). [para(74(a,1),6018(a,1,2,1,2)),flip(a)]. given #5479 (H,wt=15): 6063 T(T(x,K(y,z)),y * z) = T(x,z * y). [hyper(354,a,6034,a)]. given #5480 (H,wt=15): 6068 K(x,y * z) * y = y * K(x,z * y). [para(6064(a,1),5236(a,1,2)),flip(a)]. given #5481 (H,wt=15): 6080 K(x,y * ((1 / y) / z)) = K(x,z \ 1). [hyper(58,a,4439,a(flip),b,6076,a),flip(a)]. given #5482 (H,wt=15): 6088 K(x * y,z) * x = x * K(y * x,z). [hyper(114,a,6085,a(flip),b,5229,a),flip(a)]. given #5483 (H,wt=15): 6096 T(x,(y * z) \ 1) = T(x,z \ (y \ 1)). [hyper(58,a,4898,a(flip),b,6062,a),flip(a)]. given #5484 (H,wt=16): 6003 T(x,(y \ 1) \ z) != u | T(x,y * z) = u. [para(2002(a,1),5977(a,1,2))]. given #5485 (H,wt=16): 6005 T(x,T(y,z \ 1)) != u | T(x,T(y,z)) = u. [para(2792(a,1),5977(a,1,2))]. given #5486 (H,wt=16): 6006 T(x,y / (1 / z)) != u | T(x,y * z) = u. [para(2966(a,1),5977(a,1,2))]. given #5487 (H,wt=16): 6007 T(x,T(y,z) / z) != u | T(x,z \ y) = u. [para(3129(a,1),5977(a,1,2))]. given #5488 (H,wt=16): 6059 T(x,y * (z \ 1)) != u | T(x,y / z) = u. [para(6002(a,2),2737(a,1))]. given #5489 (H,wt=16): 6065 T(x,T(y * z,y)) != u | T(x,z * y) = u. [para(6036(a,2),2737(a,1))]. given #5490 (H,wt=16): 6084 K(x,T(y * z,y)) != u | K(x,z * y) = u. [para(6038(a,2),2691(a,1))]. given #5491 (H,wt=16): 6105 T(x,(1 / y) * z) != u | T(x,y \ z) = u. [para(369(a,1),6007(a,1,2))]. given #5492 (H,wt=16): 6109 T(x,y / (z \ 1)) != u | T(x,y * z) = u. [para(680(a,1),6065(a,1,2))]. given #5493 (H,wt=16): 6111 K(x,y / (z \ 1)) != u | K(x,y * z) = u. [para(680(a,1),6084(a,1,2))]. given #5494 (H,wt=16): 6112 T(x,(y \ 1) * z) != u | T(x,y \ z) = u. [para(3646(a,1),6105(a,1))]. given #5495 (H,wt=16): 6114 T(x,y / z) != u | T(x,y * (1 / z)) = u. [para(74(a,1),6109(a,1,2,2))]. given #5496 (H,wt=17): 5959 L(x * (y * y),z,z) = y * (y * L(x,z,z)). [hyper(272,a,2956,a(flip),b,5945,a),flip(a)]. given #5497 (H,wt=17): 5970 (K(x,y) / L(y,z,z)) * x = x / L(y,z,z). [para(5963(a,1),2945(a,1,1,1))]. given #5498 (H,wt=17): 5981 T(x,y) \ (L(y,z,z) \ x) = L(y,z,z) \ 1. [para(5976(a,1),679(a,1,1))]. given #5499 (H,wt=17): 5991 T(x,T(y * (z \ 1),u)) = T(x,T(y / z,u)). [para(3134(a,1),5976(a,1,2)),flip(a)]. given #5500 (H,wt=17): 5993 T(x,T((y \ 1) \ z,u)) = T(x,T(y * z,u)). [para(528(a,1),5987(a,1,2)),flip(a)]. given #5501 (H,wt=17): 6000 K(x,T(y,z \ (u \ z))) = K(x,T(y,T(u,z))). [para(2999(a,1),5971(a,1,2,2))]. given #5502 (H,wt=17): 6027 T(x,y * (z * (1 / y))) = T(x,T(z,y \ 1)). [para(1968(a,1),6022(a,1,2)),flip(a)]. given #5503 (H,wt=17): 6033 K(x,y) * T(x,y * z) = T(T(x,y),z * y). [para(6028(a,1),5417(a,1,2))]. given #5504 (H,wt=17): 6037 T(x,y) * K(x,y * z) = T(T(x,y),z * y). [hyper(58,a,5282,a(flip),b,6035,a)]. given #5505 (H,wt=12): 6124 T(T(x,y),x * y) = R(x,y,x). [hyper(58,a,3640,a(flip),b,6037,a),flip(a)]. given #5506 (H,wt=9): 6125 R(x,y,x) = R(x,x,y). [hyper(4565,a,6124,a),flip(a)]. given #5507 (H,wt=9): 6126 R(x,x,y) = L(x,x,y). [hyper(5188,a,6125,a),flip(a)]. given #5508 (H,wt=12): 6128 L(x,x,y) \ y = (x \ 1) * y. [para(6126(a,1),4825(a,1,1))]. given #5509 (H,wt=15): 6129 x \ y != (z \ 1) * y | L(z,z,y) = x. [para(6128(a,1),43(a,1)),flip(a)]. given #5510 (H,wt=17): 6048 L(T(x,y),y \ 1,y) != z | T(x,y \ 1) = z. [para(3619(a,2),6046(a,1))]. given #5511 (H,wt=15): 6130 L(T(x,y),y,y) != z | T(x,y \ 1) = z. [para(3113(a,1),6048(a,1))]. given #5512 (H,wt=17): 6056 K(x,T(y,z \ (u \ 1))) = K(x,T(y,u * z)). [para(5983(a,1),6001(a,1,2)),flip(a)]. given #5513 (H,wt=17): 6057 K(x,T(y,(z \ u) \ y)) = K(x,T(y,u \ z)). [hyper(272,a,6001,a,b,6054,a),flip(a)]. given #5514 (H,wt=17): 6069 K(x,T(T(y * z,u),y)) = K(x,T(z * y,u)). [para(2200(a,1),6066(a,1,2)),flip(a)]. given #5515 (H,wt=17): 6090 K(L(x,y,z) * u,x) = K(u * L(x,y,z),x). [para(156(a,1),6086(a,1,2))]. given #5516 (H,wt=17): 6098 x * K(x,y \ (z \ 1)) = T(x,(z * y) \ 1). [hyper(272,a,2674,a(flip),b,6096,a)]. given #5517 (H,wt=15): 6134 K(x,(y * z) \ 1) = K(x,z \ (y \ 1)). [hyper(29,a,2674,a(flip),b,6098,a)]. given #5518 (H,wt=17): 6119 L(x * (x * y),z,z) = x * (x * L(y,z,z)). [para(2956(a,1),5959(a,1,1))]. given #5519 (H,wt=17): 6123 K(x,y) * T(y,x * z) = T(T(y,x),z * x). [para(28(a,1),6033(a,1,1))]. given #5520 (H,wt=17): 6132 K(x,T(T(y * z,y),u)) = K(x,T(z * y,u)). [para(18(a,1),6069(a,1,2))]. given #5521 (H,wt=17): 6137 K(x,T(y / (z \ 1),u)) = K(x,T(y * z,u)). [para(680(a,1),6132(a,1,2,1))]. given #5522 (H,wt=17): 6138 K(x,T(y * (1 / z),u)) = K(x,T(y / z,u)). [para(74(a,1),6137(a,1,2,1,2)),flip(a)]. given #5523 (H,wt=18): 6047 T(x,(1 / y) / z) != u | T(x,y \ (z \ 1)) = u. [para(4894(a,1),6004(a,1,2))]. given #5524 (H,wt=18): 6050 (x \ y) * K(x,z \ (z \ 1)) = L(x,z,z) \ y. [hyper(58,a,4404,a,b,5978,a)]. given #5525 (H,wt=15): 6139 (x \ y) * a(x,z,z) = L(x,z,z) \ y. [para(4405(a,1),6050(a,1,2))]. given #5526 (H,wt=15): 6140 a(x,x,y) * (y \ z) = L(y,x,x) \ z. [hyper(5734,a,6139,a)]. given #5527 (H,wt=15): 6141 a(x,y,y) * (x \ z) = L(x,y,y) \ z. [hyper(5604,a,6139,a)]. given #5528 (H,wt=15): 6143 L(x,y,y) \ (x * z) = a(x,y,y) * z. [hyper(507,a,6141,a),flip(a)]. given #5529 (H,wt=15): 6145 x \ (a(x,y,y) * z) = L(x,y,y) \ z. [hyper(112,a,6143,a(flip),b,1274,a(flip))]. given #5530 (H,wt=18): 6102 T(x,(y * z) * z) != u | T(x,z * (z * y)) = u. [para(3503(a,1),6003(a,1,2))]. given #5531 (H,wt=18): 6103 T(x,(y * y) * z) != u | T(x,y * (y * z)) = u. [para(3523(a,1),6003(a,1,2))]. given #5532 (H,wt=18): 6104 T(x,(y \ z) * z) != u | T(x,z * (z / y)) = u. [para(3471(a,1),6006(a,1,2))]. given #5533 (H,wt=18): 6110 T(T(x,y * z),K(y,z)) != u | T(x,z * y) = u. [para(5551(a,2),6065(a,1))]. given #5534 (H,wt=18): 6116 T(x,((y \ 1) \ 1) \ z) != u | T(x,y \ z) = u. [para(5983(a,2),6112(a,1))]. given #5535 (H,wt=18): 6117 T(x,(y \ 1) / z) != u | T(x,y \ (z \ 1)) = u. [para(5988(a,1),6112(a,1))]. given #5536 (H,wt=18): 6122 T(x,y * (z * (1 / y))) != u | T(x,T(z,y)) = u. [para(6027(a,2),6005(a,1))]. given #5537 (H,wt=18): 6142 L(x,y,y) \ z != u | a(x,y,y) * (x \ z) = u. [para(6139(a,1),5604(a,1))]. given #5538 (H,wt=18): 6146 T(T(x,K(y,z)),y * z) != u | T(x,z * y) = u. [para(18(a,1),6110(a,1))]. given #5539 (H,wt=19): 5938 L(((1 / x) * y) * z,x,x) = (x \ y) * L(z,x,x). [para(4(a,1),5937(a,1,1,2)),flip(a)]. given #5540 (H,wt=19): 5940 L(x * ((1 / y) * z),y,y) = L(x,y,y) * (y \ z). [para(1996(a,1),5939(a,1,2)),flip(a)]. given #5541 (H,wt=19): 5941 ((x \ 1) \ y) * L(z,x,x) = L((x * y) * z,x,x). [para(2002(a,1),5939(a,1,1))]. given #5542 (H,wt=19): 5942 L(x * (y / (1 / z)),z,z) = L(x,z,z) * (y * z). [para(2020(a,1),5939(a,1,2)),flip(a)]. given #5543 (H,wt=19): 5944 L(((x \ 1) \ y) * z,x,x) = (x * y) * L(z,x,x). [para(2967(a,1),5939(a,1,1)),flip(a)]. given #5544 (H,wt=19): 5952 (1 / x) \ (y * L(z,x,x)) = x * (L(y,x,x) * z). [hyper(112,a,5943,a(flip),b,3118,a)]. given #5545 (H,wt=19): 5953 (x \ 1) * (L(y,x,x) * z) = x \ (y * L(z,x,x)). [hyper(112,a,5943,a(flip),b,3109,a),flip(a)]. given #5546 (H,wt=19): 5956 (x * L(y,z,z)) * (1 / z) = (L(x,z,z) * y) / z. [para(5943(a,1),2972(a,1,1))]. given #5547 (H,wt=19): 5962 K(x,y) * L(1 / z,u,u) = L(K(x,y) / z,u,u). [para(5580(a,1),5949(a,1,1)),flip(a)]. given #5548 (H,wt=19): 5979 (L(x,y,y) \ 1) \ T(z,x) = z / (1 / L(x,y,y)). [hyper(112,a,5976,a(flip),b,3128,a(flip))]. given #5549 (H,wt=19): 5992 (x * L(y,z,z)) \ T(x,y) = T(L(y,z,z) \ 1,x). [para(5976(a,1),5656(a,1,2))]. given #5550 (H,wt=19): 5995 K(x,(y \ K(z,u)) \ w) = K(x,(K(u,z) * y) * w). [para(5630(a,1),5967(a,1,2,1)),flip(a)]. given #5551 (H,wt=19): 5996 K(x,(y * K(z,u)) \ w) = K(x,(K(z,u) / y) * w). [para(5638(a,1),5967(a,1,2,1)),flip(a)]. given #5552 (H,wt=19): 6010 T(x * y,x \ y) = (1 / ((1 / x) * y)) \ (x * x). [hyper(58,a,3418,a(flip),b,5982,a),flip(a)]. given #5553 (H,wt=17): 6155 T(x * y,x \ y) = x * (x * ((1 / x) * y)). [hyper(272,a,3367,a(flip),b,6010,a),flip(a)]. given #5554 (H,wt=13): 6156 T(x * y,x \ y) = (x \ 1) \ y. [hyper(272,a,3497,a(flip),b,6155,a),flip(a)]. given #5555 (H,wt=17): 6157 T(x * (x / y),y \ 1) = (x \ 1) \ (x / y). [hyper(58,a,4467,a(flip),b,6156,a)]. given #5556 (H,wt=17): 6158 T((x * y) * x,y \ 1) = ((x * y) \ 1) \ x. [hyper(58,a,4464,a(flip),b,6156,a)]. given #5557 (H,wt=17): 6162 T(((x * y) \ 1) \ x,y \ 1) = (x * y) * x. [hyper(2782,a,6158,a)]. given #5558 (H,wt=19): 6012 T(x,(y \ 1) \ T(T(z,y),u)) = T(x,T(z,u) * y). [para(212(a,1),5983(a,2,2))]. given #5559 (H,wt=19): 6020 T(x * (1 / L(x,y,z)),x) = x * (1 / L(x,y,z)). [hyper(49,a,6019,a)]. given #5560 (H,wt=19): 6023 T(x,T(y,y * z) \ u) = T(x,T(y \ 1,z) * u). [para(3388(a,1),6009(a,1,2,1)),flip(a)]. given #5561 (H,wt=19): 6026 T(x,(K(y,z) * u) \ w) = T(x,(u \ K(y,z)) * w). [para(5610(a,1),6009(a,1,2,1)),flip(a)]. given #5562 (H,wt=19): 6052 K(x \ 1,y * (z * y)) = K(x,x * ((y * z) * y)). [hyper(3621,a,5997,a),flip(a)]. given #5563 (H,wt=19): 6071 (x \ 1) * (y / (x \ 1)) = y * K(x \ 1,y * x). [hyper(114,a,6067,a(flip),b,83,a),flip(a)]. given #5564 (H,wt=17): 6164 x * K(y \ 1,x * y) = y * (x * (1 / y)). [hyper(58,a,4535,a(flip),b,6071,a),flip(a)]. given #5565 (H,wt=17): 6165 x * K(x * y,y \ 1) = y * (x * (1 / y)). [para(28(a,1),6164(a,1,2))]. given #5566 (H,wt=17): 6166 (x * y) * (x / (x * y)) = y * (x * (1 / y)). [hyper(58,a,4450,a,b,6165,a)]. given #5567 (H,wt=19): 6078 T((x * y) * K(z,y * x),z) = T(x * y,K(z,y)). [para(6073(a,1),5829(a,1,1,2))]. given #5568 (H,wt=19): 6095 K(x * L(y,z,u),T(y,x)) = K(x * L(y,z,u),y). [para(156(a,1),6058(a,1,2)),flip(a)]. given #5569 (H,wt=19): 6100 T(x,y \ (z \ 1)) * (z * y) = (1 / (z * y)) \ x. [para(6096(a,1),1972(a,1,1))]. given #5570 (H,wt=19): 6101 T(x,(y * (y * y)) \ 1) = T(x,y \ (y \ (1 / y))). [para(3561(a,1),6096(a,2,2))]. given #5571 (H,wt=19): 6121 T(x,T((y * y) * z,u)) = T(x,T(y * (y * z),u)). [para(3523(a,1),5993(a,1,2,1))]. given #5572 (H,wt=19): 6131 K(x,T(y,z \ (z \ u))) = K(x,T(y,z * (z / u))). [para(4356(a,1),6056(a,1,2,2))]. given #5573 (H,wt=19): 6133 K(L(x,y,z) * (u \ 1),x) = K(u \ L(x,y,z),x). [hyper(272,a,5723,a(flip),b,6090,a),flip(a)]. given #5574 (H,wt=19): 6153 K(x,y) * (1 / L(z,u,u)) = L(K(x,y) / z,u,u). [para(3790(a,1),5962(a,1,2))]. given #5575 (H,wt=17): 6173 L(K(x,y) / z,u,u) = K(x,y) / L(z,u,u). [hyper(5636,a,6153,a),flip(a)]. given #5576 (H,wt=19): 6154 (x * L(y,z,z)) \ T(x,y) = L(T(y \ 1,x),z,z). [hyper(272,a,3803,a,b,5992,a),flip(a)]. given #5577 (H,wt=19): 6161 T(x * (x / (1 / y)),y) = (x \ 1) \ (x / (1 / y)). [para(74(a,1),6157(a,1,2))]. given #5578 (H,wt=17): 6174 T(x * (x / (1 / y)),y) = ((y \ 1) \ x) * x. [hyper(272,a,4915,a(flip),b,6161,a),flip(a)]. given #5579 (H,wt=19): 6163 K(x * (y * x),z \ 1) = K(z,z * ((x * y) * x)). [hyper(508,a,6052,a)]. given #5580 (H,wt=19): 6168 (x * y) * (y * (x * (1 / y))) = x / (1 / (x * y)). [hyper(114,a,6166,a(flip),b,3569,a)]. given #5581 (H,wt=20): 5947 L(x,y,y) * (L(z,y,y) \ 1) = L(x * (z \ 1),y,y). [para(3798(a,1),5939(a,1,2))]. given #5582 (H,wt=20): 5964 (L(x,y,y) * K(z,u)) * y = T(y * (x * K(z,u)),y). [para(5950(a,1),3120(a,1,1))]. given #5583 (H,wt=20): 6077 K(x,L(x,y,z) * u) != w | K(x,u * L(x,y,z)) = w. [para(6073(a,1),5348(a,1))]. given #5584 (H,wt=20): 6108 T(x,y * (y * (z \ 1))) != u | T(x,(y * y) / z) = u. [para(5989(a,1),6059(a,1))]. given #5585 (H,wt=20): 6115 T(x,y * (y * (z \ 1))) != u | T(x,z \ (y * y)) = u. [para(2956(a,1),6112(a,1,2))]. given #5586 (H,wt=20): 6118 (x * (x * L(y,z,z))) / z = (y * (x * x)) * (1 / z). [hyper(113,a,5959,a(flip),b,2006,a)]. given #5587 (H,wt=20): 6127 L(L(x,x,y),z,u) * (x * y) = (x * L(x,z,u)) * y. [para(6126(a,1),906(a,1,1,1))]. given #5588 (H,wt=20): 6147 T(x,y * (z \ (1 / z))) != u | T(x,z \ (z \ y)) = u. [para(5211(a,1),6116(a,1,2))]. given #5589 (H,wt=20): 6160 ((x \ 1) \ y) * (x \ y) != z | (x \ y) * (x * y) = z. [para(6156(a,1),2808(a,1,1))]. given #5590 (H,wt=20): 6171 T(x,y) * K(y * L(x,z,u),x) = R(x,y,L(x,z,u)). [para(6095(a,1),2756(a,1,2))]. given #5591 (H,wt=21): 5946 L(((x * x) * y) * z,x,x) = (x * (x * y)) * L(z,x,x). [para(3559(a,1),5939(a,1,1)),flip(a)]. given #5592 (H,wt=21): 5957 (x * x) * (L(y,x,x) * z) = x * (x * (y * L(z,x,x))). [para(5943(a,1),2971(a,1,2,2)),flip(a)]. given #5593 (H,wt=21): 6013 T(x,(((1 / y) * z) \ 1) \ u) = T(x,(T(z,y) / y) * u). [para(384(a,1),5983(a,1,2,1))]. given #5594 (H,wt=21): 6016 (x \ (y \ 1)) * T(z,y * x) = z / ((x \ (y \ 1)) \ 1). [para(5983(a,1),4463(a,1,2))]. given #5595 (H,wt=21): 6031 T(x,T((T(y,z) \ z) * u,u)) = T(x,u * (z * (y \ 1))). [para(2998(a,1),6028(a,2,2))]. given #5596 (H,wt=19): 6178 T(x,y * (T(z,u) \ u)) = T(x,y * (u * (z \ 1))). [hyper(58,a,6028,a(flip),b,6031,a)]. given #5597 (H,wt=21): 6060 T(x,y * (((y \ z) * u) * y)) = T(x,z * T(y * u,y)). [para(1163(a,1),6014(a,1,2)),flip(a)]. given #5598 (H,wt=21): 6082 K(x,((y \ 1) * (z \ 1)) * u) = K(x,((1 / z) \ y) \ u). [para(4020(a,1),6076(a,1,2,1)),flip(a)]. given #5599 (H,wt=21): 6099 T(x,y \ (z \ 1)) / (z * y) = (((z * y) \ 1) \ 1) \ x. [hyper(113,a,6096,a(flip),b,5058,a)]. given #5600 (H,wt=21): 6150 L(x * (y * (y * z)),y,y) = L(x,y,y) * ((z * y) * y). [para(3574(a,1),5942(a,1,1,2))]. given #5601 (H,wt=22): 3096 x * K(y \ z,z \ y) != u | K(y \ z,z \ y) * x = u. [para(1674(a,1),2808(a,1,1))]. given #5602 (H,wt=22): 3123 L(x * (y / (z \ 1)),z,z) * (1 / z) = z * ((z \ x) * y). [hyper(272,a,1164,a(flip),b,2972,a),flip(a)]. given #5603 (H,wt=22): 3160 (x * x) \ (T(x,y) * (T(x,y) * z)) = L(z,T(x,y),T(x,y)). [para(3155(a,1),13(a,2,1)),flip(a)]. given #5604 (H,wt=18): 6179 L(x,T(y,z),T(y,z)) = (y * y) \ (y * (y * x)). [para(3749(a,1),3160(a,1,2)),flip(a)]. given #5605 (H,wt=13): 6180 L(x,T(y,z),T(y,z)) = L(x,y,y). [hyper(272,a,13,a,b,6179,a),flip(a)]. given #5606 (H,wt=16): 6181 L(x,T(y,z),T(y,z)) != u | L(x,y,y) = u. [para(6179(a,2),430(a,1))]. given #5607 (H,wt=16): 6185 (T(x,y) \ 1) * L(z,x,x) = T(x,y) \ z. [hyper(114,a,6180,a(flip),b,2013,a)]. given #5608 (H,wt=16): 6186 T(x,y) * L(z,x,x) = (1 / T(x,y)) \ z. [hyper(114,a,6180,a(flip),b,1998,a)]. given #5609 (H,wt=16): 6190 L(T(x,y) \ z,x,x) = (1 / T(x,y)) * z. [hyper(29,a,3116,a,b,6185,a),flip(a)]. given #5610 (H,wt=16): 6191 L(x / T(y,z),y,y) = x * (T(y,z) \ 1). [hyper(29,a,1137,a,b,6185,a),flip(a)]. given #5611 (H,wt=17): 6194 K(x,y) * T(z * x,x) = (1 / T(x,y)) \ z. [hyper(58,a,3208,a,b,6186,a)]. given #5612 (H,wt=17): 6195 (1 / x) * (K(x,y) * z) = (1 / T(x,y)) * z. [hyper(58,a,4001,a(flip),b,6190,a)]. given #5613 (H,wt=17): 6196 x * ((1 / T(x,y)) \ z) = (x * T(x,y)) * z. [hyper(114,a,6194,a(flip),b,5469,a)]. given #5614 (H,wt=19): 6192 T(x,y) \ z != (T(x,y) \ 1) * u | L(z,x,x) = u. [para(6185(a,1),38(a,1))]. given #5615 (H,wt=19): 6193 T(x,y) \ ((x \ 1) \ z) = (T(x,y) \ 1) * (x * z). [para(2967(a,1),6185(a,1,2)),flip(a)]. given #5616 (H,wt=19): 6197 (1 / T(x,y)) * (x * z) = (1 / x) * (T(x,y) * z). [para(2750(a,1),6195(a,1,2)),flip(a)]. given #5617 (H,wt=19): 6198 (T(x,y) \ 1) * (x * z) = T(x,y) * ((1 / x) * z). [hyper(58,a,4032,a(flip),b,6193,a),flip(a)]. given #5618 (H,wt=19): 6199 (T(x,y) \ 1) * (x * z) = x * ((1 / T(x,y)) * z). [hyper(272,a,5863,a(flip),b,6198,a),flip(a)]. given #5619 (H,wt=20): 6182 L(x,T(y,z),T(y,z)) != u \ w | u * L(x,y,y) = w. [para(6179(a,2),540(a,1))]. given #5620 (H,wt=21): 6189 L(x,T(1 / y,z),z / (z * y)) = L(x,1 / y,1 / y). [para(3031(a,1),6180(a,1,3))]. given #5621 (H,wt=21): 6200 x * ((1 / T(x,x * y)) * z) = T(x \ 1,y) * (x * z). [para(3388(a,1),6199(a,1,1)),flip(a)]. given #5622 (H,wt=19): 6201 T(x \ 1,y) * (x * z) = x * (T(1 / x,y) * z). [para(3336(a,1),6200(a,1,2,1)),flip(a)]. given #5623 (H,wt=21): 6202 T(x \ 1,y * x) * (x * z) = x * ((T(x,y) \ 1) * z). [para(3520(a,1),6201(a,2,2,1))]. given #5624 (H,wt=19): 6203 (1 / T(x,y)) * (x * z) = x * ((T(x,y) \ 1) * z). [para(3450(a,1),6202(a,1,1))]. given #5625 (H,wt=19): 6204 (1 / x) * (T(x,y) * z) = x * ((T(x,y) \ 1) * z). [hyper(58,a,6197,a(flip),b,6203,a)]. given #5626 (H,wt=22): 3184 K(x,y * z) * (y * (z * u)) = T(y * z,x) * L(u,z,y). [para(87(a,1),2694(a,1,2))]. given #5627 (H,wt=21): 6205 T(x * x,y) * L(z,x,x) = a(y,x,x) * (x * (x * z)). [para(4243(a,1),3184(a,1,1)),flip(a)]. given #5628 (H,wt=22): 3211 ((T(x,y) * z) * u) / ((x * z) * u) = R(K(x,y),x * z,u). [para(2750(a,1),15(a,2,1,1)),flip(a)]. given #5629 (H,wt=22): 3236 (x * (y / z)) \ (x * (z \ (z \ y))) = L(z \ 1,y / z,x). [para(2835(a,1),13(a,2,2,2)),flip(a)]. given #5630 (H,wt=20): 6206 (x * (1 / y)) \ (y \ (y \ x)) = L(y \ 1,1 / y,x). [para(4382(a,1),3236(a,1,2))]. given #5631 (H,wt=22): 3630 ((x / y) \ (1 / y)) * (1 / y) != z | T(x,y) \ (1 / y) = z. [para(2780(a,1),3319(a,1,1,1))]. given #5632 (H,wt=22): 3676 (x * (y * z)) \ (x * (y * T(z,u))) = L(K(z,u),y * z,x). [para(3664(a,1),13(a,2,2,2)),flip(a)]. given #5633 (H,wt=22): 3679 ((x * y) * z) * K(y * z,u) = R(x,y,z) * T(y * z,u). [para(93(a,1),3664(a,1,1))]. given #5634 (H,wt=22): 3713 (x * T(y,z)) / (x * K(y,z)) != u | T(y,x * K(y,z)) = u. [para(3699(a,1),2785(a,1,1))]. given #5635 (H,wt=22): 3718 T(x,K(y,z)) != K(y,z) * u | T(K(z,y) * x,K(y,z)) = u. [para(2886(a,1),216(a,2)),flip(a)]. given #5636 (H,wt=22): 3824 x * (x * ((1 / x) * y)) != z * u | z \ ((x \ 1) \ y) = u. [para(3501(a,1),341(a,1,2))]. given #5637 (H,wt=22): 4119 x \ y != z * ((z \ u) * (z \ u)) | x * ((u / z) * u) = y. [para(4086(a,1),286(a,2,2))]. given #5638 (H,wt=22): 4158 (x \ 1) * T(y \ 1,x) != z * u | z \ ((x * y) \ 1) = u. [para(4131(a,1),341(a,1,2))]. given #5639 (H,wt=22): 4257 (x * x) \ (K(x,y) * z) != u | (1 / x) * (T(x,y) \ z) = u. [para(3946(a,1),3354(a,1,2))]. given #5640 (H,wt=22): 4268 (x * (y * y)) * K(y,z) != u | (x / (y \ 1)) * T(y,z) = u. [para(3370(a,1),3692(a,1,1))]. given #5641 (H,wt=22): 4275 K(x,y) * ((x * x) \ z) != u | T(x,y) \ ((x \ 1) * z) = u. [para(3525(a,1),4016(a,1,2))]. given #5642 (H,wt=22): 4296 T(x,y) * T(x * z,x) != x * u | T(T(x,y) * z,x) = u. [para(2641(a,2),216(a,2)),flip(a)]. given #5643 (H,wt=22): 4302 x \ y != z * ((z \ u) * K(z,w)) | x * (u * K(z,w)) = y. [para(4298(a,1),286(a,2,2))]. given #5644 (H,wt=22): 4363 x * (((x * y) * x) \ 1) != z * u | (y \ (x \ 1)) / u = z. [para(4349(a,2),283(a,1,2))]. given #5645 (H,wt=22): 4364 x * (((x * y) * x) \ 1) != z * u | z \ (y \ (x \ 1)) = u. [para(4349(a,2),341(a,1,2))]. given #5646 (H,wt=22): 4506 T(x,y) \ (y * T(x,z)) != y * u | T(K(T(x,y),z),y) = u. [para(3228(a,2),216(a,2)),flip(a)]. given #5647 (H,wt=22): 4599 L(1 / ((x / y) * x),x \ y,x \ y) = (x \ y) * (1 / x). [para(4171(a,1),2967(a,1,1))]. given #5648 (H,wt=22): 4622 T(T(x,y \ 1) \ 1,y) != y * z | T(x \ (1 / y),y) = z. [para(4367(a,2),216(a,2)),flip(a)]. given #5649 (H,wt=22): 4758 (x \ (y * (y * (x * z)))) / x = L(z,x,x) * ((y * y) / x). [para(2956(a,1),3141(a,1,1,2))]. given #5650 (H,wt=22): 4767 x \ (y \ ((z \ (y * x)) * z)) != u | K((y \ z) \ x,z) = u. [para(1286(a,1),3849(a,1,2))]. given #5651 (H,wt=18): 6209 K((x / y) \ z,x) != u | K((y \ x) \ z,x) = u. [para(4850(a,1),4767(a,1))]. given #5652 (H,wt=22): 4832 (x \ 1) * (y * (1 / x)) != z * x | x \ (x \ (x \ y)) = z. [para(3583(a,2),2832(a,1))]. given #5653 (H,wt=22): 4855 (T(x,y) \ 1) \ z != x * u | x * ((1 / T(x,y)) * z) = u. [para(4033(a,1),38(a,1))]. given #5654 (H,wt=22): 4931 (x \ 1) \ ((x \ 1) / y) != z * u | (x \ (x / y)) / u = z. [para(4927(a,1),499(a,1,2))]. given #5655 (H,wt=22): 4943 (T(x,y) * z) * K(x,u) != w | T(x,y) * (z * K(x,u)) = w. [para(4941(a,1),251(a,1,2))]. given #5656 (H,wt=22): 4945 T(x * y,y) * (y * z) != y * u | (x * T(z,y)) * y = u. [para(4324(a,2),38(a,1))]. given #5657 (H,wt=22): 4983 (x * x) \ y != x \ (1 / (x * z)) | (x / z) * (1 / x) = y. [para(4602(a,1),42(a,1)),flip(a)]. given #5658 (H,wt=22): 5000 x \ y != (x \ 1) * T(z * x,x) | ((x \ 1) \ 1) * z = y. [para(4705(a,1),42(a,1)),flip(a)]. given #5659 (H,wt=22): 5038 (1 / x) * ((y * x) * (y * x)) != z | (y / (1 / x)) * y = z. [para(4813(a,1),4118(a,1,2))]. given #5660 (H,wt=22): 5077 (x * y) * (x \ (x / (1 / y))) != z | x * ((1 / y) \ y) = z. [para(5044(a,1),230(a,1,2))]. given #5661 (H,wt=22): 5124 x \ y != z * ((1 / z) * (u / z)) | x * (u * (1 / z)) = y. [para(376(a,2),3567(a,2,2))]. given #5662 (H,wt=22): 5136 x \ y != z * (K(u,z) * (z \ w)) | x * (K(u,z) * w) = y. [para(3885(a,2),3962(a,2,2))]. given #5663 (H,wt=22): 5146 L(x \ (y / z),x,z \ 1) = ((1 / z) * x) \ ((z \ y) / z). [para(2775(a,1),5118(a,1,1,2))]. given #5664 (H,wt=16): 6210 L(x \ (y / z),x,z \ 1) = (x \ y) / z. [hyper(272,a,776,a(flip),b,5146,a),flip(a)]. given #5665 (H,wt=22): 5154 (x \ (1 / x)) / T(y,x \ 1) != z | x \ (1 / (x * y)) = z. [para(3386(a,2),4924(a,1))]. given #5666 (H,wt=22): 5256 (x * (y * K(z,u))) / (x * y) = L(K(z,T(u,x * y)),y,x). [para(5238(a,2),2818(a,2,1))]. given #5667 (H,wt=22): 5270 K(R(x,y,R(x,z,u)),T(w,y * R(x,z,u))) = K(T(x,y),w). [para(1441(a,1),5239(a,1,1)),flip(a)]. given #5668 (H,wt=22): 5878 (x * ((x / (1 / y)) / y)) / (1 / y) = (y * x) * L(x,y,y). [hyper(272,a,2004,a,b,5031,a),flip(a)]. given #5669 (H,wt=22): 5921 (x * y) \ ((x * y) \ 1) != z | x \ (y \ ((y * x) \ 1)) = z. [para(5890(a,1),115(a,1))]. given #5670 (H,wt=22): 5958 x \ (y * L(z,x,x)) != u | (x \ 1) * (L(y,x,x) * z) = u. [para(5943(a,1),3130(a,1,2))]. given #5671 (H,wt=22): 6039 T(x,T(y * (z * u),y * z)) = T(x,L(u,z,y) * (y * z)). [para(87(a,1),6035(a,1,2,1))]. given #5672 (H,wt=22): 6051 K(x,y \ (((y * z) * u) / y)) = K(x,L(z,y,y) * (u / y)). [para(3141(a,1),5994(a,1,2)),flip(a)]. given #5673 (H,wt=20): 6214 K(x,L(y,z,z) * (u / z)) = K(x,y * (u * (z \ 1))). [para(1132(a,1),6051(a,1,2)),flip(a)]. given #5674 (H,wt=20): 6215 K(x,L(y,z,z) * (u / z)) = K(x,y * (u * (1 / z))). [hyper(272,a,2431,a,b,6214,a),flip(a)]. given #5675 (H,wt=22): 6107 T(x,y * T(1 / z,u)) != w | T(x,y / ((z \ u) \ u)) = w. [para(3492(a,1),6059(a,1,2,2))]. given #5676 (H,wt=22): 6135 T(x,(y * z) \ 1) != u * w | T(x,z \ (y \ 1)) / w = u. [para(6098(a,1),2738(a,1))]. given #5677 (H,wt=22): 6144 L(x,y,y) \ (x * z) != u * w | u \ (a(x,y,y) * z) = w. [para(6141(a,1),802(a,1))]. given #5678 (H,wt=22): 6151 x \ ((x * y) * L(z,x,x)) = (x \ 1) * (((x \ 1) \ y) * z). [hyper(112,a,5944,a(flip),b,3109,a)]. given #5679 (H,wt=22): 6169 (x * y) * (y * (x * (1 / y))) != z | x / (1 / (x * y)) = z. [para(6166(a,1),3591(a,1,2))]. given #5680 (H,wt=22): 6175 K(x * L(y,z,u),y) * K(y,x) = y \ R(y,x,L(y,z,u)). [hyper(112,a,6171,a(flip),b,3181,a),flip(a)]. given #5681 (H,wt=22): 6176 T(x,(T(y,z) / z) * u) != w | T(x,((1 / z) * y) * u) = w. [para(6013(a,1),6003(a,1))]. given #5682 (H,wt=22): 6184 L(x * (1 / T(y,z)),y,y) = (T(y,z) \ 1) * T(x,T(y,z)). [hyper(4754,a,6180,a),flip(a)]. given #5683 (H,wt=22): 6207 ((x * y) \ x) * (x \ 1) != z * u | z \ (y \ (x \ 1)) = u. [para(3816(a,2),4364(a,1))]. given #5684 (H,wt=22): 6208 1 / L((x / y) * x,x \ y,x \ y) = (x \ y) * (1 / x). [hyper(58,a,3790,a(flip),b,4599,a)]. given #5685 (H,wt=18): 6218 L((x / y) * x,x \ y,x \ y) = x * (y \ x). [hyper(4192,a,6208,a),flip(a)]. given #5686 (H,wt=23): 2912 ((x / y) \ 1) * T((x / y) \ 1,y) = (x \ y) * T(x \ y,y). [para(2768(a,2),2274(a,2,2))]. given #5687 (H,wt=23): 3044 (T(x,y) \ 1) * ((x \ y) / y) = ((x \ y) / y) * (y \ (x \ y)). [para(2999(a,2),306(a,2,1)),flip(a)]. given #5688 (H,wt=23): 3059 ((x * x) \ y) * (y / (x * x)) = (x \ (x \ y)) * ((x * x) \ y). [para(3009(a,1),306(a,1,1)),flip(a)]. given #5689 (H,wt=23): 3162 (1 / (x \ y)) * (1 / (x \ y)) = (x / y) * T(1 / (x \ y),x). [para(3030(a,1),3155(a,1,1)),flip(a)]. given #5690 (H,wt=19): 6221 (1 / (x \ y)) * (1 / (x \ y)) = (x / y) * (x / y). [para(3030(a,1),3162(a,2,2))]. given #5691 (H,wt=19): 6222 (1 / (x \ y)) * (1 / (x \ y)) = (y \ x) * (y \ x). [hyper(272,a,4115,a(flip),b,6221,a),flip(a)]. given #5692 (H,wt=17): 6223 (x \ y) \ (1 / (x \ y)) = (y \ x) * (y \ x). [hyper(3629,a,6222,a)]. given #5693 (H,wt=17): 6225 (x \ y) \ T(x / y,x) = (y \ x) * (y \ x). [para(3063(a,2),6223(a,1,2))]. given #5694 (H,wt=17): 6227 (x \ y) * ((y \ x) * (y \ x)) = T(x / y,x). [hyper(127,a,6225,a)]. given #5695 (H,wt=19): 6228 T(x / y,x) \ (x \ y) = (y \ x) \ ((y \ x) \ 1). [para(6227(a,1),4379(a,1,1))]. given #5696 (H,wt=17): 6229 T(x / y,x) \ (x \ y) = ((x / y) * x) \ y. [hyper(272,a,4389,a(flip),b,6228,a),flip(a)]. given #5697 (H,wt=17): 6230 (1 / (x \ y)) \ (x \ y) = ((x / y) * x) \ y. [para(3063(a,1),6229(a,1,1))]. given #5698 (H,wt=20): 6224 (x \ y) * (x \ y) != z | (y \ x) \ (1 / (y \ x)) = z. [para(6222(a,1),3629(a,1))]. given #5699 (H,wt=21): 6226 ((x \ y) \ 1) * ((x \ y) \ z) = ((y \ x) * (y \ x)) * z. [para(6223(a,1),3787(a,1,1)),flip(a)]. given #5700 (H,wt=21): 6231 x * ((1 / (y \ z)) \ (y \ z)) = (z \ y) \ ((z \ y) \ x). [para(6230(a,2),4657(a,2,2)),flip(a)]. given #5701 (H,wt=23): 3180 (x \ 1) * (x \ (K(1 / x,y) * z)) = x \ (T(1 / x,y) * z). [para(2687(a,1),1155(a,1,2)),flip(a)]. given #5702 (H,wt=23): 3230 (T(x,y) \ 1) * T(T(x,y) \ 1,y) = T(x,y) \ (y \ (y / x)). [para(2795(a,1),756(a,2,2))]. given #5703 (H,wt=21): 6235 (T(x,y) \ 1) * ((x \ y) / y) = T(x,y) \ (y \ (y / x)). [para(3048(a,1),3230(a,1,2))]. given #5704 (H,wt=23): 3268 x * (((x * x) \ y) * ((x * x) \ y)) = ((x * x) \ y) * (y / x). [hyper(114,a,3250,a(flip),b,2840,a),flip(a)]. given #5705 (H,wt=23): 3284 (x * (((y \ 1) * z) * z)) / (y \ 1) = y \ ((y * x) * (z * z)). [para(3252(a,2),1128(a,1,1,2))]. given #5706 (H,wt=23): 3361 (T(R(x,y,z),u) * (y * z)) / ((x * y) * z) = K(R(x,y,z),u). [para(93(a,1),3196(a,1,2))]. given #5707 (H,wt=20): 6237 ((T(x,y) * z) * u) / ((x * z) * u) = K(R(x,z,u),y). [para(450(a,1),3361(a,1,1))]. given #5708 (H,wt=15): 6238 R(K(x,y),x * z,u) = K(R(x,z,u),y). [hyper(58,a,3211,a(flip),b,6237,a)]. given #5709 (H,wt=10): 6239 K(R(x,y,x),z) = K(x,z). [hyper(58,a,5747,a(flip),b,6238,a),flip(a)]. given #5710 (H,wt=12): 6241 K(x,R(y,z,y)) = 1 / K(y,x). [para(6239(a,1),2880(a,1,2)),flip(a)]. given #5711 (H,wt=13): 6242 K(x,R(y,z,y)) != u | K(x,y) = u. [para(6241(a,2),2882(a,1))]. given #5712 (H,wt=14): 6243 K(x,y \ 1) != z | K(x,1 / y) = z. [para(972(a,1),6242(a,1,2))]. given #5713 (H,wt=15): 6240 K(R(x,x \ y,z),u) = R(K(x,u),y,z). [para(5(a,1),6238(a,1,2)),flip(a)]. given #5714 (H,wt=12): 6246 R(K(x,y),T(x,z),u) = K(x,y). [para(2635(a,1),6240(a,1,1)),flip(a)]. given #5715 (H,wt=10): 6248 R(K(x,y),x,z) = K(x,y). [para(97(a,1),6246(a,1,2))]. given #5716 (H,wt=18): 6245 K((x * y) / ((z \ x) * y),u) = R(K(z,u),x,y). [para(91(a,1),6240(a,1,1))]. given #5717 (H,wt=18): 6250 R(K(x / (y / z),u),x,z) = K((x * z) / y,u). [para(176(a,1),6245(a,1,1,2)),flip(a)]. given #5718 (H,wt=19): 6249 (K(x,y) * T(x,z)) * u = K(x,y) * (T(x,z) * u). [para(6246(a,1),93(a,1,1)),flip(a)]. given #5719 (H,wt=19): 6251 (K(x,y) * T(x,z)) * u = K(x,z) * (T(x,y) * u). [para(3763(a,1),6249(a,1,1))]. given #5720 (H,wt=19): 6252 (K(x,y) * T(x,z)) * (T(x,y) \ u) = K(x,z) * u. [hyper(272,a,137,a(flip),b,6251,a),flip(a)]. given #5721 (H,wt=19): 6253 K(x,y) * (T(x,z) * (T(x,y) \ u)) = K(x,z) * u. [hyper(58,a,6249,a(flip),b,6252,a)]. given #5722 (H,wt=19): 6254 T(x,y) * (T(x,z) \ u) = K(z,x) * (K(x,y) * u). [hyper(3894,a,6253,a),flip(a)]. given #5723 (H,wt=19): 6255 K(x,y) * (K(z,x) * u) = K(z,x) * (K(x,y) * u). [hyper(58,a,3961,a,b,6254,a)]. given #5724 (H,wt=20): 6244 K(R(x,x \ y,z),u) * (y * z) = (K(x,u) * y) * z. [para(6240(a,2),93(a,1,1))]. given #5725 (H,wt=19): 6257 (K(x,y) * z) * K(x,u) = K(x,y) * (z * K(x,u)). [para(4309(a,1),6244(a,1,1,1)),flip(a)]. given #5726 (H,wt=19): 6258 K(x,y / ((K(z,x) * u) * w)) = K(x,y / (u * w)). [para(6244(a,1),5841(a,1,2,2))]. given #5727 (H,wt=19): 6260 K(x,y / ((K(x,z) * u) * w)) = K(x,y / (u * w)). [para(28(a,1),6258(a,1,2,2,1,1))]. given #5728 (H,wt=19): 6261 K(x,y / (((x \ z) * x) * u)) = K(x,y / (z * u)). [para(2555(a,1),6258(a,1,2,2,1))]. given #5729 (H,wt=19): 6262 K(x,y / ((z * x) * u)) = K(x,y / ((x * z) * u)). [para(2561(a,1),6258(a,1,2,2,1))]. given #5730 (H,wt=20): 6247 R(K(x,y),z,u) \ 1 != w | K(y,R(x,x \ z,u)) = w. [para(6240(a,1),2885(a,1,1))]. given #5731 (H,wt=21): 6259 K(x,y) * (T(z,x) * K(x,u)) = (T(x,y) * z) / T(x,u). [hyper(58,a,5475,a(flip),b,6257,a),flip(a)]. given #5732 (H,wt=19): 6263 (T(x,y) * z) / T(x,u) = T(x,y) \ (z * T(x,u)). [hyper(58,a,4612,a(flip),b,6259,a),flip(a)]. given #5733 (H,wt=21): 6264 T(x,y) \ (z * T(x,x * z)) = (1 / x) * (T(x,y) * z). [hyper(58,a,5395,a(flip),b,6263,a),flip(a)]. given #5734 (H,wt=19): 6265 T(x,y) \ ((1 / x) \ z) = (1 / x) * (T(x,y) * z). [para(2316(a,1),6264(a,1,2))]. given #5735 (H,wt=19): 6266 T(x,y) \ ((1 / x) \ z) = x * ((T(x,y) \ 1) * z). [hyper(272,a,6204,a(flip),b,6265,a),flip(a)]. given #5736 (H,wt=23): 3440 (x * (((1 / y) * x) * y)) / y = (1 / y) \ ((y \ x) * (y \ x)). [hyper(272,a,1162,a,b,3379,a)]. given #5737 (H,wt=19): 6267 ((1 / x) * y) * ((1 / x) * y) = (x \ y) * (x \ y). [hyper(860,a,3440,a(flip))]. given #5738 (H,wt=19): 6268 (x * (1 / y)) * (x * (1 / y)) = (y \ x) * (y \ x). [hyper(5768,a,6267,a)]. given #5739 (H,wt=19): 6269 (T(x,y) / y) * ((1 / y) * x) = (y \ x) * (y \ x). [para(369(a,2),6267(a,1,1))]. given #5740 (H,wt=23): 3570 (x \ (y * (z * (1 / x)))) / x = ((1 / x) * y) * (x \ (x \ z)). [hyper(114,a,3534,a(flip),b,775,a),flip(a)]. given #5741 (H,wt=23): 3683 ((x / y) * L(y,z,u)) * T(y,w) = (x * L(y,z,u)) * K(y,w). [para(1382(a,1),3664(a,1,1)),flip(a)]. given #5742 (H,wt=23): 3691 ((x / y) * L(y,z,u)) * T(y,w) = (x * K(y,w)) * L(y,z,u). [para(3668(a,1),1406(a,1,1)),flip(a)]. given #5743 (H,wt=21): 6271 (x * L(y,z,u)) * K(y,w) = (x * K(y,w)) * L(y,z,u). [hyper(58,a,3683,a(flip),b,3691,a)]. given #5744 (H,wt=21): 6272 (x * L(y,z,u)) * K(y,w) = x * (K(y,w) * L(y,z,u)). [hyper(272,a,2709,a(flip),b,6271,a),flip(a)]. given #5745 (H,wt=23): 3693 (x * (y * z)) \ ((x * y) * T(L(z,y,x),u)) = K(L(z,y,x),u). [para(87(a,1),3674(a,1,1))]. given #5746 (H,wt=20): 6274 (x * (y * z)) \ (x * (y * T(z,u))) = K(L(z,y,x),u). [para(364(a,1),3693(a,1,2))]. given #5747 (H,wt=15): 6278 L(K(x,y),z * x,u) = K(L(x,z,u),y). [hyper(58,a,3676,a(flip),b,6274,a)]. given #5748 (H,wt=10): 6279 K(L(x,y,z),z) = K(x,z). [hyper(58,a,4318,a(flip),b,6278,a),flip(a)]. given #5749 (H,wt=10): 6280 K(L(x,y,x),z) = K(x,z). [hyper(58,a,4308,a(flip),b,6278,a),flip(a)]. given #5750 (H,wt=12): 6286 T(x,L(y,z,x)) = x / K(y,x). [para(6279(a,1),2676(a,2,2))]. given #5751 (H,wt=10): 6289 T(x,L(y,z,x)) = T(x,y). [hyper(272,a,2676,a,b,6286,a),flip(a)]. given #5752 (H,wt=12): 6287 K(x,L(y,z,x)) = 1 / K(y,x). [para(6279(a,1),2880(a,1,2)),flip(a)]. given #5753 (H,wt=10): 6291 K(x,L(y,z,x)) = K(x,y). [hyper(272,a,2880,a(flip),b,6287,a),flip(a)]. given #5754 (H,wt=12): 6288 T(x,L(y,z,y)) = x / K(y,x). [para(6280(a,1),2676(a,2,2))]. given #5755 (H,wt=10): 6296 T(x,L(y,z,y)) = T(x,y). [hyper(272,a,2676,a,b,6288,a),flip(a)]. given #5756 (H,wt=10): 6301 T(x,R(y,z,y)) = T(x,y). [para(2382(a,1),6296(a,1,2)),flip(a)]. given #5757 (H,wt=10): 6303 T(x,L(y,y,z)) = T(x,y). [para(5187(a,1),6301(a,1,2))]. given #5758 (H,wt=12): 6297 T(x,L(y,z,y)) = x * K(x,y). [hyper(272,a,3905,a(flip),b,6288,a),flip(a)]. given #5759 (H,wt=10): 6305 K(x,L(y,z,y)) = K(x,y). [hyper(2751,a,6297,a)]. given #5760 (H,wt=12): 6299 x * T(y,L(x,z,x)) = y * x. [hyper(114,a,6296,a,b,17,a(flip))]. given #5761 (H,wt=14): 6281 K(L(x,y,z),y * x) = K(x,y * x). [hyper(58,a,2664,a(flip),b,6278,a),flip(a)]. given #5762 (H,wt=14): 6308 K(L(x,y,z),y * x) = K(x,x * y). [hyper(272,a,3189,a(flip),b,6281,a),flip(a)]. given #5763 (H,wt=15): 6283 K(L(x,y / x,z),u) = L(K(x,u),y,z). [para(7(a,1),6278(a,1,2)),flip(a)]. given #5764 (H,wt=15): 6285 K((x * y) \ z,x) = K(y \ (x \ z),x). [para(254(a,1),6279(a,1,1))]. given #5765 (H,wt=15): 6290 T(x,(x * y) \ z) = T(x,y \ (x \ z)). [para(254(a,1),6289(a,1,2))]. given #5766 (H,wt=15): 6293 K(x,(x * y) \ z) = K(x,y \ (x \ z)). [para(254(a,1),6291(a,1,2))]. given #5767 (H,wt=15): 6294 K(x,(x \ y) \ z) = K(x,y \ (x * z)). [para(437(a,1),6291(a,1,2)),flip(a)]. given #5768 (H,wt=15): 6304 L(x,x,y) * T(z,x) = z * L(x,x,y). [hyper(114,a,6303,a(flip),b,17,a(flip))]. given #5769 (H,wt=15): 6306 K(x,y) * T(L(y,z,y),x) = L(y,z,y). [para(6305(a,1),2668(a,1,1))]. given #5770 (H,wt=15): 6313 K((x \ y) \ (x \ z),x) = K(y \ z,x). [para(5(a,1),6285(a,1,1,1)),flip(a)]. given #5771 (H,wt=15): 6316 T(x,(x \ y) \ (x \ z)) = T(x,y \ z). [para(5(a,1),6290(a,1,2,1)),flip(a)]. given #5772 (H,wt=15): 6317 K(x,(y * x) \ z) = K(x,y \ (x \ z)). [hyper(58,a,5818,a,b,6293,a)]. given #5773 (H,wt=15): 6319 K(x,y) * L(T(y,x),z,y) = L(y,z,y). [para(20(a,2),6306(a,1,2))]. given #5774 (H,wt=15): 6320 K((x \ y) \ z,x) = K(y \ (z * x),x). [hyper(58,a,5406,a(flip),b,6313,a)]. given #5775 (H,wt=15): 6324 K((x / y) \ z,y) = K(x \ (z * y),y). [hyper(58,a,5403,a,b,6320,a)]. given #5776 (H,wt=15): 6325 K(x \ ((y \ z) * y),y) = K(x \ z,y). [hyper(58,a,6313,a(flip),b,6320,a),flip(a)]. given #5777 (H,wt=15): 6327 K((x * y) \ (z * y),y) = K(x \ z,y). [para(6(a,1),6324(a,1,1,1)),flip(a)]. given #5778 (H,wt=15): 6328 K((x * y) \ z,y) = K(x \ (y \ z),y). [hyper(58,a,6325,a(flip),b,6327,a)]. given #5779 (H,wt=16): 6284 K(L(L(x,y,z),u,w),z) = K(L(x,u,w),z). [para(25(a,1),6279(a,1,1))]. given #5780 (H,wt=16): 6292 K(x,L(L(y,z,x),u,w)) = K(x,L(y,u,w)). [para(25(a,1),6291(a,1,2))]. given #5781 (H,wt=17): 6282 L(K(x \ y,z),y,u) = K(L(x \ y,x,u),z). [para(5(a,1),6278(a,1,2))]. given #5782 (H,wt=14): 6330 K(L(x \ y,x,z),y) = K(x \ y,y). [hyper(58,a,2664,a(flip),b,6282,a),flip(a)]. given #5783 (H,wt=15): 6334 K((x \ y) \ z,z) = K(y \ (x * z),z). [para(437(a,1),6330(a,1,1)),flip(a)]. given #5784 (H,wt=17): 6307 (x / L(y,z,y)) * y = y * (L(y,z,y) \ x). [para(100(a,1),6299(a,1,2)),flip(a)]. given #5785 (H,wt=17): 6309 K(L(x,y,z),y * x) != u | K(x,x * y) = u. [para(6281(a,2),3190(a,1))]. given #5786 (H,wt=17): 6323 T(x,y) \ L(T(x,y),z,x) = x \ L(x,z,x). [hyper(112,a,6319,a(flip),b,3953,a),flip(a)]. given #5787 (H,wt=17): 6326 K(x \ (y * z),z) \ z = T(z,(z \ x) \ y). [para(6320(a,1),2682(a,2,1)),flip(a)]. given #5788 (H,wt=15): 6337 T(x,(x \ y) \ z) = T(x,y \ (z * x)). [hyper(2726,a,6326,a),flip(a)]. given #5789 (H,wt=15): 6338 T(x,y \ ((x \ z) * x)) = T(x,y \ z). [hyper(58,a,6316,a(flip),b,6337,a),flip(a)]. given #5790 (H,wt=17): 6335 (x * y) / L(y,z,y) = y * (L(y,z,y) \ x). [hyper(58,a,1381,a,b,6307,a)]. given #5791 (H,wt=18): 6295 K(L(x,y,z),L(u,w,x)) = L(K(x,u),y * x,z). [para(6291(a,1),6278(a,1,1)),flip(a)]. given #5792 (H,wt=18): 6332 L(K((x \ y) \ z,u),z,x) = K(y \ (x * z),u). [para(437(a,1),6282(a,2,1))]. given #5793 (H,wt=19): 6315 x * K(y \ (z \ x),z) = y * ((z \ (y \ x)) * z). [para(6285(a,1),3843(a,1,2))]. given #5794 (H,wt=19): 6318 (x * ((y / z) / x)) * z = y * K(x,z \ (x \ y)). [para(6293(a,1),4571(a,2,2))]. given #5795 (H,wt=19): 6336 K(x,y) * (x \ L(x,z,x)) = x \ L(T(x,y),z,x). [para(6323(a,1),3174(a,1,2))]. given #5796 (H,wt=20): 6275 (x * (y * z)) \ (x * (y * T(z,u))) = K(u,L(z,y,x)). [hyper(272,a,28,a,b,6274,a),flip(a)]. given #5797 (H,wt=20): 6276 (x * (y * z)) * K(L(z,y,x),u) = x * (y * T(z,u)). [hyper(127,a,6274,a)]. given #5798 (H,wt=18): 6343 (x * (y * z)) * K(L(z,y,x),y) = x * (z * y). [para(98(a,1),6276(a,2,2))]. given #5799 (H,wt=18): 6344 (x * (y * z)) * K(z,L(y,z,x)) = x * (z * y). [hyper(3914,a,6343,a)]. given #5800 (H,wt=19): 6345 K(x,(y * (z * x)) \ u) = K(x,(y * (x * z)) \ u). [para(6344(a,1),5817(a,1,2,1)),flip(a)]. given #5801 (H,wt=19): 6346 K(x,(y * ((x \ z) * x)) \ u) = K(x,(y * z) \ u). [para(5(a,1),6345(a,2,2,1,2))]. given #5802 (H,wt=20): 6277 (x * (y * z)) * K(u,L(z,y,x)) = x * (y * T(z,u)). [hyper(114,a,28,a,b,6274,a)]. given #5803 (H,wt=17): 6349 T(x,y * (z * T(u,x))) = T(x,y * (z * u)). [para(6277(a,1),5357(a,1,2))]. given #5804 (H,wt=19): 6350 T(x,y * (z * (u / x))) = T(x,y * (z * (x \ u))). [para(100(a,1),6349(a,1,2,2,2)),flip(a)]. given #5805 (H,wt=20): 6311 L(K(x,y),z,u) \ 1 != w | K(y,L(x,z / x,u)) = w. [para(6283(a,1),2885(a,1,1))]. given #5806 (H,wt=20): 6321 K(x,y \ (x \ (y * (z * x)))) = K(x,L(T(z,x),x,y)). [para(211(a,1),6317(a,1,2)),flip(a)]. given #5807 (H,wt=20): 6331 L(K(x \ (y \ z),u),y \ z,y) = K((y * x) \ z,u). [para(254(a,1),6282(a,2,1))]. given #5808 (H,wt=20): 6333 L(K(L(x,y,z) \ x,u),x,z * y) = K(a(z,y,x),u). [para(1456(a,2),6282(a,2,1))]. given #5809 (H,wt=21): 6310 L(K(T(x,y),T(z,y)),u,w) = K(L(x,u / T(x,y),w),z). [hyper(5344,a,6283,a),flip(a)]. given #5810 (H,wt=17): 6353 K(L(x,y / T(x,z),u),w) = L(K(x,w),y,u). [para(5243(a,1),6310(a,1,1)),flip(a)]. given #5811 (H,wt=15): 6354 L(K(x,y),x * z,u) = K(L(x,z,u),y). [para(170(a,1),6353(a,1,1,2)),flip(a)]. given #5812 (H,wt=14): 6357 K(L(x,y,z),x * y) = K(x,x * y). [hyper(58,a,2664,a(flip),b,6354,a),flip(a)]. given #5813 (H,wt=15): 6355 K(L(x,x \ y,z),u) = L(K(x,u),y,z). [para(239(a,1),6353(a,1,1,2))]. given #5814 (H,wt=21): 6341 (x * y) * K(z,x \ (z \ (x * y))) = x * (z * (y / z)). [hyper(58,a,2215,a(flip),b,6318,a),flip(a)]. given #5815 (H,wt=21): 6351 K(x,y \ (x \ (y * (z * x)))) != u | K(x,L(z,x,y)) = u. [para(6321(a,2),5351(a,1))]. given #5816 (H,wt=21): 6358 L(K(x,y),K(z,x) * u,w) = K(L(x,T(x,z) \ u,w),y). [para(3953(a,1),6354(a,1,2))]. given #5817 (H,wt=21): 6359 L(K(x,y),T(x,z) * u,w) = K(L(T(x,z),u,w),T(y,z)). [para(5243(a,1),6354(a,1,1))]. given #5818 (H,wt=17): 6360 L(K(x,y),T(x,z) * u,w) = K(L(x,u,w),y). [hyper(272,a,5283,a(flip),b,6359,a),flip(a)]. given #5819 (H,wt=17): 6362 K(L(x,T(x,y) \ z,u),w) = L(K(x,w),z,u). [para(5(a,1),6360(a,1,2)),flip(a)]. given #5820 (H,wt=14): 6363 K(L(x,T(x,y) \ 1,z),u) = K(x,u). [hyper(272,a,317,a(flip),b,6362,a),flip(a)]. given #5821 (H,wt=14): 6365 K(L(x,x \ K(y,x),z),u) = K(x,u). [para(2679(a,1),6363(a,1,1,2))]. given #5822 (H,wt=12): 6366 L(K(x,y),K(z,x),u) = K(x,y). [hyper(58,a,6355,a(flip),b,6365,a)]. given #5823 (H,wt=17): 6364 L(K(x,y),K(z,x) * u,w) = L(K(x,y),u,w). [hyper(58,a,6358,a,b,6362,a)]. given #5824 (H,wt=17): 6371 L(K(x,y),z * K(u,x),w) = L(K(x,y),z,w). [para(5225(a,1),6364(a,1,2))]. given #5825 (H,wt=19): 6367 (x * K(y,z)) * K(z,u) = x * (K(y,z) * K(z,u)). [hyper(114,a,6366,a(flip),b,13,a(flip))]. given #5826 (H,wt=10): 6372 R(x,K(y,z),K(z,u)) = x. [hyper(453,a,6367,a)]. given #5827 (H,wt=13): 6378 R(x,L(K(y,z),u,w),K(z,v5)) = x. [para(4818(a,1),6372(a,1,2))]. given #5828 (H,wt=19): 6375 (K(x,y) * (K(y,z) * u)) / u = K(x,y) * K(y,z). [hyper(879,a,6367,a(flip))]. given #5829 (H,wt=19): 6376 (x * K(y,z)) * K(z,u) = x * (K(z,u) * K(y,z)). [para(1491(a,2),6367(a,2,2))]. given #5830 (H,wt=19): 6377 (x * K(y,z)) / K(u,z) = x / (K(u,z) * K(z,y)). [hyper(58,a,3925,a(flip),b,6372,a),flip(a)]. given #5831 (H,wt=19): 6381 (K(x,y) * K(y,z)) * u = K(x,y) * (K(y,z) * u). [hyper(125,a,6375,a)]. given #5832 (H,wt=19): 6382 x / (K(y,z) * K(z,u)) = (x * K(u,z)) * K(z,y). [hyper(3916,a,6377,a),flip(a)]. given #5833 (H,wt=19): 6383 x / (K(y,z) * K(z,u)) = x * (K(u,z) * K(z,y)). [hyper(272,a,6367,a(flip),b,6382,a),flip(a)]. given #5834 (H,wt=20): 6373 x * (K(y,z) * K(z,z * y)) = (x / R(z,y,z)) * z. [hyper(58,a,5147,a(flip),b,6367,a),flip(a)]. given #5835 (H,wt=20): 6374 x * (K(y * z,y) * K(y,z)) = (x * y) / L(y,z,y). [hyper(58,a,5132,a(flip),b,6367,a),flip(a)]. given #5836 (H,wt=22): 6340 (x * ((y \ (x \ z)) * y)) \ z != u | K(y,x \ (y \ z)) = u. [para(6315(a,1),3924(a,1,1))]. given #5837 (H,wt=18): 6384 K(x,(x * y) \ z) != u | K(x,y \ (x \ z)) = u. [para(4076(a,1),6340(a,1))]. given #5838 (H,wt=22): 6352 L(K(x * (y \ z),u),y \ z,y) = K((y * (x \ 1)) \ z,u). [para(5719(a,1),6331(a,1,1))]. given #5839 (H,wt=22): 6368 (x * K(y,z)) * K(z,u) != w | x * (K(y,z) * K(z,u)) = w. [para(6366(a,1),251(a,1,2))]. given #5840 (H,wt=23): 3740 (((x \ 1) * y) * (z * x)) / x = (1 / x) \ ((x \ (x \ y)) * z). [para(3116(a,1),1073(a,1,2,1)),flip(a)]. given #5841 (H,wt=23): 3754 (x * (y * T(y \ z,u))) / (x * z) = K((x * z) / (x * y),u). [hyper(113,a,784,a(flip),b,3175,a)]. given #5842 (H,wt=23): 3768 ((x * y) * y) * (z * (((y * y) * x) \ 1)) = T(z,(y * y) * x). [hyper(272,a,2843,a,b,3257,a),flip(a)]. given #5843 (H,wt=23): 3881 T(K(x,y) * z,u) * K(y,x) = K(y,x) * T(z * K(x,y),u). [para(3728(a,1),212(a,1,2,1)),flip(a)]. given #5844 (H,wt=23): 4042 (x \ (x \ (y \ x))) * (y \ x) = (y \ x) * ((x * (x * y)) \ x). [para(3784(a,2),3475(a,2,2))]. given #5845 (H,wt=21): 6388 (x \ y) * ((y * (y * x)) \ y) = (x \ (y \ 1)) * (x \ y). [para(4355(a,1),4042(a,1,1)),flip(a)]. given #5846 (H,wt=23): 4062 T(1 / x,x * (y * (1 / x))) = (x \ y) / (x * (y * (1 / x))). [para(3837(a,1),2775(a,1,1))]. given #5847 (H,wt=19): 6389 (x \ y) / (x * (y * (1 / x))) = T(1 / x,T(y,x)). [hyper(6122,a,4062,a),flip(a)]. given #5848 (H,wt=17): 6390 (x \ y) / (x * (y * (1 / x))) = T(1 / x,y). [hyper(272,a,5368,a(flip),b,6389,a),flip(a)]. given #5849 (H,wt=21): 6391 (x \ y) * ((x \ y) / (x * (y * (1 / x)))) = x \ (x \ y). [para(6390(a,2),3550(a,1,2))]. given #5850 (H,wt=23): 4074 ((x * T(x \ y,z)) * u) \ (y * u) = K(z,(x * u) \ (y * u)). [para(1298(a,1),3918(a,1,1))]. given #5851 (H,wt=23): 4075 T(x * T(x \ y,z),u) \ T(y,u) = K(z,T(x,u) \ T(y,u)). [para(1586(a,1),3918(a,1,1))]. given #5852 (H,wt=23): 4110 (x \ 1) * ((y \ (T(y,z) \ 1)) \ 1) = ((y * T(y,z)) \ x) \ 1. [para(4048(a,1),4021(a,1,2,1))]. given #5853 (H,wt=23): 4141 (x \ T(y,x)) * (x \ T(y,x)) = (T(y,x) / x) * ((1 / x) * y). [para(369(a,1),4115(a,1,2)),flip(a)]. given #5854 (H,wt=19): 6395 (x \ T(y,x)) * (x \ T(y,x)) = (x \ y) * (x \ y). [hyper(272,a,6269,a(flip),b,4141,a),flip(a)]. given #5855 (H,wt=23): 4142 ((x * x) \ y) * ((x * x) \ y) = (x \ (x \ y)) * (y / (x * x)). [para(3009(a,1),4115(a,1,1)),flip(a)]. given #5856 (H,wt=23): 4167 (x \ 1) \ ((x \ 1) / (1 / (y \ 1))) = ((y \ x) \ 1) \ (x \ 1). [para(4021(a,1),4146(a,1,1)),flip(a)]. given #5857 (H,wt=19): 6397 ((x \ y) \ 1) \ (y \ 1) = (y \ 1) \ ((y \ 1) / x). [para(72(a,1),4167(a,1,2,2)),flip(a)]. given #5858 (H,wt=15): 6399 ((x \ y) \ 1) \ (y \ 1) = y \ (y / x). [hyper(272,a,4928,a(flip),b,6397,a),flip(a)]. given #5859 (H,wt=23): 4306 (x \ L(T(x,y),z,u)) * K(x,y) = T(a(T(x,y) \ 1,u,z),x). [para(2510(a,2),4300(a,1,1)),flip(a)]. given #5860 (H,wt=23): 4311 (K(x,y) * (x * z)) / (x * (z * K(x,y))) = K(K(x,y),x * z). [para(4303(a,1),2560(a,2,2)),flip(a)]. given #5861 (H,wt=23): 4323 T(x * y,y) * ((1 / y) \ z) = y * ((x * T(z,y \ 1)) * y). [para(1972(a,1),2815(a,1,2))]. given #5862 (H,wt=19): 6401 x * ((y * T(y,x \ 1)) * x) = (y * x) * (y * x). [hyper(58,a,3161,a(flip),b,4323,a),flip(a)]. given #5863 (H,wt=23): 4325 (K(x,y) * z) * (u * K(x,y)) = K(x,y) * ((z * u) * K(x,y)). [para(3879(a,1),2815(a,1,1))]. given #5864 (H,wt=19): 6402 (K(x,y) * z) * (u * K(x,y)) = T(z * u,K(x,y)). [hyper(272,a,2982,a(flip),b,4325,a),flip(a)]. given #5865 (H,wt=19): 6403 T((K(x,y) * z) * u,K(x,y)) = z * (u * K(x,y)). [para(3893(a,1),6402(a,1,1)),flip(a)]. given #5866 (H,wt=22): 6404 T(x,K(y,z)) != u * (w * K(y,z)) | (K(y,z) * u) * w = x. [para(6403(a,1),44(a,1)),flip(a)]. given #5867 (H,wt=23): 4333 x * K((y \ z) \ 1,x / (z \ y)) = (z \ y) * (x / (z \ y)). [hyper(114,a,4328,a,b,83,a)]. given #5868 (H,wt=23): 4407 T((x * x) \ ((x * x) \ 1),y) = T(x * (x * (x * x)),y) \ 1. [para(2956(a,1),4377(a,2,1,1))]. given #5869 (H,wt=23): 4532 ((x \ 1) \ (y * T(y,x))) * x = (x * x) * (x * ((y / x) * y)). [para(4083(a,1),3504(a,1,2,2)),flip(a)]. given #5870 (H,wt=23): 4576 T(x \ y,z * (x \ y)) \ u = K(z,y \ x) * ((x \ y) \ u). [para(4431(a,1),3951(a,1,1)),flip(a)]. given #5871 (H,wt=23): 4606 (x * (y \ (1 / y))) * (z * x) = x * (((y \ (1 / y)) * z) * x). [para(4287(a,1),27(a,1,1))]. given #5872 (H,wt=23): 4647 (1 / (x \ 1)) / (T(x,x \ 1) * y) = (1 / (y * x)) / (x \ 1). [para(4043(a,1),4641(a,1,2))]. given #5873 (H,wt=19): 6409 (1 / (x * y)) / (y \ 1) = y / (T(y,y \ 1) * x). [para(72(a,1),4647(a,1,1)),flip(a)]. given #5874 (H,wt=17): 6411 x / (T(x,x \ 1) * y) = (1 / x) / (x \ y). [hyper(58,a,5877,a(flip),b,6409,a),flip(a)]. given #5875 (H,wt=23): 4662 (x \ y) \ ((1 / (y \ x)) * z) = (z / (y \ x)) * ((x \ y) \ 1). [para(4462(a,1),676(a,1,1)),flip(a)]. given #5876 (H,wt=23): 4664 ((x \ y) * z) / ((y \ x) \ 1) = (y \ x) * (z / ((x \ y) \ 1)). [hyper(58,a,694,a(flip),b,4463,a),flip(a)]. given #5877 (H,wt=23): 4683 (x * (y \ (1 / y))) * K(z,1 / y) = (x / y) * T(1 / y,z). [para(4680(a,1),3659(a,1,1))]. given #5878 (H,wt=23): 4688 (x * y) * T(x * y,y * y) = (y * y) * ((x * y) * (x / y)). [para(3263(a,1),4685(a,1,2,2)),flip(a)]. given #5879 (H,wt=23): 4707 T((1 / x) * (y * x),y * x) = (y * x) \ (y * ((1 / x) \ y)). [hyper(359,a,4590,a(flip),b,3029,a)]. given #5880 (H,wt=21): 6414 (x * y) \ (x * ((1 / y) \ x)) = T(T(x,y \ 1),x * y). [para(3033(a,1),4707(a,1,1)),flip(a)]. given #5881 (H,wt=23): 4736 a((x * (y * (1 / x))) \ 1,z,u) = a(x * (1 / (x * y)),z,u). [para(4726(a,1),2512(a,1,1,1))]. given #5882 (H,wt=21): 6415 a(x * (1 / (x * y)),z,u) = a(x * (y \ (1 / x)),z,u). [para(4866(a,1),4736(a,1,1)),flip(a)]. given #5883 (H,wt=23): 4762 (((x * y) \ (x * x)) \ x) * x = x * ((y \ (x * x)) \ (x * x)). [para(4761(a,1),3771(a,1,1,1))]. given #5884 (H,wt=21): 6417 (((x * y) \ (x * x)) \ x) * x = x * (x * ((y \ x) \ 1)). [para(4954(a,1),4762(a,2,2))]. given #5885 (H,wt=19): 6418 (((x * y) \ (x * x)) \ x) * x = (y \ x) \ (x * x). [hyper(272,a,3290,a(flip),b,6417,a),flip(a)]. given #5886 (H,wt=23): 4764 (L(x,y,y) * (y * x)) \ 1 != z | (y * x) \ ((y * x) \ y) = z. [para(3332(a,1),3616(a,1,1))]. given #5887 (H,wt=23): 4829 (x \ 1) * (((1 / (x \ 1)) * y) * z) = (y * (z * (x \ 1))) * x. [para(72(a,1),3538(a,1,2)),flip(a)]. given #5888 (H,wt=19): 6419 (x * (y * (z \ 1))) * z = (z \ 1) * ((z * x) * y). [para(72(a,1),4829(a,1,2,1,1)),flip(a)]. given #5889 (H,wt=21): 6421 (x \ 1) * ((x * y) * (x * z)) = (y * T(z,x \ 1)) * x. [para(378(a,1),6419(a,1,1,2)),flip(a)]. given #5890 (H,wt=19): 6422 (x * T(x,y \ 1)) * y = (y * x) * T(x,y \ 1). [hyper(58,a,2957,a(flip),b,6421,a),flip(a)]. given #5891 (H,wt=19): 6423 x * ((x * y) * T(y,x \ 1)) = (y * x) * (y * x). [para(6422(a,1),6401(a,1,2))]. given #5892 (H,wt=17): 6424 x * ((y / (x \ 1)) * y) = (y * x) * (y * x). [para(3226(a,1),6423(a,1,2))]. given #5893 (H,wt=19): 6425 ((x \ 1) \ y) * ((x \ 1) \ y) = (y * x) * (y * x). [hyper(58,a,4116,a,b,6424,a)]. given #5894 (H,wt=21): 6426 (x \ (y \ 1)) \ (1 / (x \ (y \ 1))) = (x * y) * (x * y). [hyper(6224,a,6425,a)]. given #5895 (H,wt=23): 4844 ((x * x) * ((y * x) * x)) / z = (y * ((x * x) * (x * x))) / z. [para(2956(a,2),3776(a,2,1))]. given #5896 (H,wt=23): 4849 T((x * ((1 / x) * y)) \ 1,x) = T((1 / (1 / x)) * y,x) \ x. [para(3834(a,1),2275(a,1,1,1))]. given #5897 (H,wt=23): 4883 (x \ 1) * ((y \ 1) * (y \ x)) = x * (((1 / y) * (1 / y)) / x). [para(4880(a,1),3580(a,1,2))]. given #5898 (H,wt=23): 5025 ((x * T(x,y)) \ (x * (y * x))) \ 1 = T(1 / y,x * (y * x)). [para(5012(a,1),3492(a,1,1,1))]. given #5899 (H,wt=18): 6430 T(1 / x,y * (x * y)) = L(x,T(y,x),y) \ 1. [para(2845(a,1),5025(a,1,1)),flip(a)]. given #5900 (H,wt=23): 5040 (x * x) * (x * ((x \ y) * (x \ y))) = (y * x) * (x * (x \ y)). [para(5(a,1),4827(a,1,1,1)),flip(a)]. given #5901 (H,wt=19): 6431 (x * x) * (x * ((x \ y) * (x \ y))) = (y * x) * y. [hyper(272,a,137,a(flip),b,5040,a),flip(a)]. given #5902 (H,wt=15): 6433 (x * x) * ((y / x) * y) = (y * x) * y. [para(4085(a,1),6431(a,1,2))]. given #5903 (H,wt=17): 6434 (x \ 1) * ((y * x) * y) = x * ((y / x) * y). [hyper(114,a,6433,a(flip),b,3523,a)]. given #5904 (H,wt=21): 6435 x * (x * (x * ((y / x) * y))) = (1 / x) \ ((y * x) * y). [para(6433(a,1),3636(a,1,2)),flip(a)]. given #5905 (H,wt=21): 6436 (1 / x) * ((y / (1 / x)) * y) = x * ((y * (1 / x)) * y). [hyper(533,a,6434,a),flip(a)]. given #5906 (H,wt=21): 6438 (x * ((1 / y) \ x)) * (1 / y) = y * ((x * (1 / y)) * x). [hyper(4558,a,6436,a)]. given #5907 (H,wt=23): 5048 1 / T((L(x,y,z) \ 1) * x,x) = ((L(x,y,z) \ 1) \ 1) / x. [hyper(113,a,4878,a(flip),b,2793,a),flip(a)]. given #5908 (H,wt=21): 6440 1 / T((L(x,y,z) \ 1) * x,x) = (x \ 1) * L(x,y,z). [hyper(272,a,5875,a(flip),b,5048,a),flip(a)]. given #5909 (H,wt=21): 6441 1 / T(x * (1 / L(x,y,z)),x) = (x \ 1) * L(x,y,z). [para(2853(a,1),6440(a,1,2,1))]. given #5910 (H,wt=19): 6442 1 / (x * (1 / L(x,y,z))) = (x \ 1) * L(x,y,z). [para(6020(a,1),6441(a,1,2))]. given #5911 (H,wt=23): 5050 T(x * ((1 / x) * (y \ 1)),x) = T((1 / (1 / x)) * y,x) \ x. [hyper(272,a,2844,a,b,4887,a)]. given #5912 (H,wt=19): 6443 (x * ((1 / x) * y)) \ 1 = x * ((1 / x) * (y \ 1)). [hyper(35,a,4849,a,b,5050,a)]. given #5913 (H,wt=23): 5119 L(x * (y / x),x \ y,x \ y) != z | x * (1 / (x / y)) = z. [para(2950(a,2),4113(a,1))]. given #5914 (H,wt=23): 5125 L(x * K(y,x),z,u) != L(x,z,u) * w | K(y,L(x,z,u)) = w. [para(3650(a,1),38(a,1))]. given #5915 (H,wt=23): 5158 (x * x) * (((x * x) \ y) * z) = x * (((x \ y) * (z * x)) / x). [para(3261(a,1),3417(a,1,2,1))]. given #5916 (H,wt=23): 5194 K((x \ (y / (z \ 1))) \ 1,y) = x \ (((y \ (x / z)) * y) * z). [para(2402(a,1),4331(a,1,2)),flip(a)]. given #5917 (H,wt=21): 6445 K((x \ (y / (z \ 1))) \ 1,y) = K((x \ (y * z)) \ 1,y). [hyper(272,a,4330,a(flip),b,5194,a),flip(a)]. given #5918 (H,wt=19): 6446 K((x \ (y * z)) \ 1,y) = K((y / (z \ 1)) \ x,y). [hyper(4768,a,6445,a),flip(a)]. given #5919 (H,wt=17): 6447 K((x / (y \ 1)) \ z,x) = K((x * y) \ z,x). [hyper(4768,a,6446,a),flip(a)]. given #5920 (H,wt=17): 6448 K(((x \ 1) \ y) \ z,y) = K((y * x) \ z,y). [hyper(6209,a,6447,a)]. given #5921 (H,wt=17): 6449 K(((x \ 1) \ y) \ z,y) = K(x \ (y \ z),y). [hyper(272,a,6285,a(flip),b,6448,a),flip(a)]. given #5922 (H,wt=17): 6450 K((x \ 1) \ (y \ z),y) = K((x \ y) \ z,y). [hyper(58,a,2429,a(flip),b,6449,a),flip(a)]. given #5923 (H,wt=17): 6451 K((x \ y) \ (z * y),y) = K((x \ 1) \ z,y). [hyper(58,a,5406,a(flip),b,6450,a),flip(a)]. given #5924 (H,wt=21): 6452 T(x,(y \ x) \ (z * x)) = 1 / (x \ K((y \ 1) \ z,x)). [para(6451(a,1),2866(a,2,2,2))]. given #5925 (H,wt=17): 6453 T(x,(y \ x) \ (z * x)) = T(x,(y \ 1) \ z). [hyper(272,a,2866,a,b,6452,a),flip(a)]. given #5926 (H,wt=17): 6454 T(x,(y \ 1) \ (x \ z)) = T(x,(y \ x) \ z). [hyper(58,a,6338,a(flip),b,6453,a),flip(a)]. given #5927 (H,wt=19): 6455 K(x,(y \ 1) \ (x \ z)) = x \ T(x,(y \ x) \ z). [hyper(112,a,6454,a(flip),b,2674,a(flip)),flip(a)]. given #5928 (H,wt=17): 6456 K(x,(y \ 1) \ (x \ z)) = K(x,(y \ x) \ z). [hyper(272,a,2672,a,b,6455,a),flip(a)]. given #5929 (H,wt=15): 6457 K(x,(y \ x) \ z) = K(x,y * (x \ z)). [hyper(58,a,5968,a(flip),b,6456,a),flip(a)]. given #5930 (H,wt=15): 6458 K(x,(y \ x) \ (x * z)) = K(x,y * z). [para(4(a,1),6457(a,2,2,2))]. given #5931 (H,wt=23): 5222 (x \ 1) * (x \ (K(y,x \ 1) * z)) = T(x \ 1,y) * (x \ z). [para(3971(a,2),4577(a,1,2))]. given #5932 (H,wt=23): 5305 K(x \ y,z) * K(u,y / x) = K(u,y / x) * K(x \ y,z). [para(1901(a,1),5236(a,1,2,2))]. given #5933 (H,wt=21): 6460 K(x,y / z) * K(z \ y,z) = z \ (y / T(y / z,x)). [hyper(58,a,4496,a(flip),b,5305,a),flip(a)]. given #5934 (H,wt=23): 5319 K(x,L(L(x,y,z),u,w) / v5) = K(x,v5 \ L(L(x,y,z),u,w)). [para(197(a,1),5260(a,1,1))]. given #5935 (H,wt=23): 5489 T(x,y / z) * K(z \ y,z) = K(z \ y,z) * T(x,z \ y). [para(2775(a,1),5473(a,1,1,2))]. given #5936 (H,wt=15): 6462 T(T(x,y),z / x) = T(T(x,y),x \ z). [hyper(30,a,1891,a,b,5489,a),flip(a)]. given #5937 (H,wt=21): 6461 T(x,y / z) * K(z \ y,z) = (y / z) \ (x * (z \ y)). [hyper(272,a,4080,a(flip),b,5489,a),flip(a)]. given #5938 (H,wt=23): 5619 (K(x,y) * (z * K(x,y))) * z = (K(x,y) * z) * (K(x,y) * z). [para(5587(a,1),4619(a,1,1,2))]. given #5939 (H,wt=19): 6464 (K(x,y) * z) * (K(x,y) * z) = T(z,K(x,y)) * z. [para(2982(a,1),5619(a,1,1)),flip(a)]. given #5940 (H,wt=19): 6465 (K(x,y) * z) * (K(x,y) * z) = z * T(z,K(x,y)). [hyper(272,a,218,a(flip),b,6464,a),flip(a)]. given #5941 (H,wt=19): 6466 (x * K(y,z)) * (x * K(y,z)) = x * T(x,K(y,z)). [hyper(5768,a,6465,a)]. given #5942 (H,wt=22): 6467 L(x,y * K(z,u),y * K(z,u)) = T(x,y * T(y,K(z,u))). [para(6466(a,1),2952(a,1,2)),flip(a)]. given #5943 (H,wt=23): 5681 (x \ L(T(x,y),z,u)) \ K(x,y) = L(T(x,y),z,u) \ T(x,y). [hyper(2541,a,5607,a),flip(a)]. given #5944 (H,wt=19): 6468 1 / (L(T(x,y),z,u) \ x) = x \ L(T(x,y),z,u). [hyper(34,a,5700,a,b,5681,a)]. given #5945 (H,wt=23): 5836 x \ (((y \ 1) / x) * (y \ 1)) = (x \ (1 / y)) * (x \ (1 / y)). [hyper(112,a,5764,a(flip),b,4085,a)]. given #5946 (H,wt=23): 5838 K(x,K(y,z)) * (u * K(x,y)) = K(x,T(y,z)) * T(u,K(y,x)). [para(3862(a,1),5805(a,1,2))]. given #5947 (H,wt=23): 5839 K(x,K(y,z)) * T(x,T(u,y)) = K(x,T(y,z)) * T(T(x,y),u). [para(5429(a,1),5805(a,1,2))]. given #5948 (H,wt=23): 5859 (((x \ y) * (x \ y)) \ z) * ((x \ 1) * y) = z / ((x \ 1) * y). [para(5857(a,1),3250(a,1,1,1))]. given #5949 (H,wt=23): 5869 ((x * (1 / (y * z))) \ 1) * x = y * T(x * (z * (1 / x)),x). [hyper(272,a,4180,a,b,4938,a)]. given #5950 (H,wt=21): 6473 (x * (1 / ((x * y) * z))) \ 1 = x * (y * (z * (1 / x))). [hyper(30,a,1158,a(flip),b,5869,a),flip(a)]. given #5951 (H,wt=21): 6474 (x \ 1) * T((x * y) * z,x) = x * (y * (z * (1 / x))). [hyper(4755,a,6473,a)]. given #5952 (H,wt=19): 6477 (x \ ((x * y) * z)) * (1 / x) = y * (z * (1 / x)). [hyper(4728,a,6474,a)]. given #5953 (H,wt=19): 6479 (x * (y * (1 / z))) / (1 / z) = z \ ((z * x) * y). [hyper(122,a,6477,a)]. given #5954 (H,wt=19): 6480 (x \ (y * z)) * (1 / x) = (x \ y) * (z * (1 / x)). [para(5(a,1),6477(a,1,1,2,1))]. given #5955 (H,wt=20): 6484 x \ ((x * y) * L(z,x,x)) = (y * (z / x)) / (1 / x). [para(2972(a,1),6479(a,1,1,2)),flip(a)]. given #5956 (H,wt=21): 6482 (x \ 1) * (x \ ((x * y) * z)) = T(y * (z * (1 / x)),x). [para(6477(a,1),3127(a,1,1)),flip(a)]. given #5957 (H,wt=21): 6485 (x * ((y * y) / z)) / (1 / z) = z \ ((z * x) * (y * y)). [para(3329(a,1),6479(a,1,1,2))]. given #5958 (H,wt=21): 6487 (x \ 1) * (((x \ 1) \ y) * z) = (y * (z / x)) / (1 / x). [hyper(58,a,6151,a(flip),b,6484,a)]. given #5959 (H,wt=21): 6489 (x * ((y * y) / z)) / (1 / z) = z \ (y * (y * (z * x))). [para(2956(a,1),6485(a,2,2))]. given #5960 (H,wt=22): 6486 (x \ y) * (z * (1 / x)) != u * (1 / x) | x \ (y * z) = u. [para(6480(a,1),39(a,1))]. given #5961 (H,wt=23): 5892 (x * (((x \ 1) * y) * z)) / (1 / x) = y * (z * ((x \ 1) \ 1)). [hyper(4259,a,5116,a)]. given #5962 (H,wt=23): 5948 L((((x \ 1) \ 1) \ y) * z,x,x) = ((x \ 1) * y) * L(z,x,x). [para(4233(a,1),5939(a,1,1)),flip(a)]. given #5963 (H,wt=23): 5951 L(L(K(x,L(y,z,z)) / x,z,z) * y,z,z) = L(y,z,z) / x. [hyper(272,a,2944,a(flip),b,5943,a),flip(a)]. given #5964 (H,wt=20): 6494 L(L(K(x,y) / x,z,z) * y,z,z) = L(y,z,z) / x. [para(5963(a,1),5951(a,1,1,1,1,1))]. given #5965 (H,wt=20): 6495 L(L(K(x,y) / y,z,z) * x,z,z) = L(x,z,z) / y. [para(28(a,1),6494(a,1,1,1,1,1))]. given #5966 (H,wt=20): 6497 L((K(x,y) / L(y,z,z)) * x,z,z) = L(x,z,z) / y. [para(6173(a,1),6495(a,1,1,1))]. given #5967 (H,wt=16): 6498 L(x / L(y,z,z),z,z) = L(x,z,z) / y. [para(5970(a,1),6497(a,1,1))]. given #5968 (H,wt=23): 5955 x * L(T(y,L(x,z,z)) \ 1,z,z) = L(y \ L(x,z,z),z,z). [para(3006(a,1),5943(a,1,1)),flip(a)]. given #5969 (H,wt=20): 6499 L(x \ L(y,z,z),z,z) = y * L(T(x,y) \ 1,z,z). [para(5976(a,1),5955(a,1,2,1,1)),flip(a)]. given #5970 (H,wt=20): 6500 L(x \ L(y,z,z),z,z) = y * (L(T(x,y),z,z) \ 1). [para(3798(a,1),6499(a,2,2))]. given #5971 (H,wt=16): 6502 L(x \ L(y,z,z),z,z) = L(x,z,z) \ y. [hyper(272,a,3050,a(flip),b,6500,a),flip(a)]. given #5972 (H,wt=16): 6503 L(L(x,y,y) \ z,y,y) = x \ L(z,y,y). [hyper(2973,a,6502,a)]. given #5973 (H,wt=23): 5961 (K(x,y) * z) \ (K(x,y) * L(z,u,u)) = a(u,u,K(x,y) * z). [hyper(112,a,5949,a(flip),b,4213,a)]. given #5974 (H,wt=20): 6504 L(a(x \ 1,y,y),x,K(z,u)) = a(y,y,K(z,u) * x). [hyper(1200,a,5961,a)]. given #5975 (H,wt=18): 6505 L(a(x,y,y),x,K(z,u)) = a(y,y,K(z,u) * x). [para(4246(a,1),6504(a,1,1))]. given #5976 (H,wt=21): 6506 L(x,y,K(z,u)) != a(w,w,K(z,u) * y) | a(y,w,w) = x. [para(6505(a,1),45(a,1)),flip(a)]. given #5977 (H,wt=23): 6024 T(x,y \ ((z \ 1) * (y * (z \ 1)))) = T(x,z \ T(z \ 1,y)). [para(5012(a,2),6009(a,1,2))]. given #5978 (H,wt=19): 6507 T(x,y \ T(y \ 1,z)) = T(x,z \ (y \ (z / y))). [para(1137(a,1),6024(a,1,2,2)),flip(a)]. given #5979 (H,wt=23): 6025 T(T(x,y \ z),K(u,(y \ 1) * z)) = T(x,T((y \ 1) * z,u)). [para(6009(a,1),5485(a,1,1))]. given #5980 (H,wt=21): 6508 T(T(x,y \ z),K(u,y \ z)) = T(x,T((y \ 1) * z,u)). [para(6081(a,1),6025(a,1,2))]. given #5981 (H,wt=20): 6509 T(x,T((y \ 1) * z,u)) != w | T(x,T(y \ z,u)) = w. [para(6508(a,1),5497(a,1))]. given #5982 (H,wt=19): 6510 T(x,T((y \ 1) / z,u)) = T(x,T(y \ (z \ 1),u)). [hyper(6509,a,5991,a),flip(a)]. given #5983 (H,wt=23): 6030 T(x,T(y * (z * u),L(u,z,y))) = T(x,L(u,z,y) * (y * z)). [para(87(a,1),6028(a,1,2,1))]. given #5984 (H,wt=23): 6032 T(x,T((y * z) * (y * z),z)) = T(x,z * (y * ((1 / z) \ y))). [para(4619(a,1),6028(a,1,2,1))]. given #5985 (H,wt=23): 6040 T(x,T((y * z) * u,R(y,z,u))) = T(x,(z * u) * R(y,z,u)). [para(93(a,1),6035(a,1,2,1))]. given #5986 (H,wt=23): 6041 T(x,T(((1 / y) \ z) * u,y)) = T(x,((z * (u / y)) * y) * y). [para(108(a,1),6035(a,1,2,1))]. given #5987 (H,wt=23): 6075 K(x,T((y * z) * (y * z),z)) = K(x,z * (y * ((1 / z) \ y))). [para(4590(a,1),6070(a,1,2,2)),flip(a)]. given #5988 (H,wt=20): 6512 K(x,y * (z * ((1 / y) \ z))) = a(x,z * y,z * y). [hyper(5662,a,6075,a),flip(a)]. given #5989 (H,wt=23): 6149 L((x * L(x,y,z)) * u,x,x) = (x * L(x,y,z)) * L(u,x,x). [para(4874(a,1),5941(a,1,1)),flip(a)]. given #5990 (H,wt=23): 6159 T(x * (y * x),((1 / x) \ y) \ x) = (((1 / x) \ y) \ 1) \ x. [para(366(a,1),6156(a,1,1))]. given #5991 (H,wt=23): 6170 T((x * y) * K(z,x * y),K(z,y)) = (x * y) * K(z,y * x). [hyper(3222,a,6078,a)]. given #5992 (H,wt=23): 6219 (T(x,y) \ 1) * ((x \ y) / y) = ((y * x) \ y) * (y \ (x \ y)). [para(3308(a,1),3044(a,2,1))]. given #5993 (H,wt=21): 6517 ((x * y) \ x) * (x \ (y \ x)) = T(y,x) \ (x \ (x / y)). [hyper(58,a,6235,a(flip),b,6219,a),flip(a)]. given #5994 (H,wt=23): 6220 ((x * x) \ y) * (x \ (x \ y)) = (x \ (x \ y)) * ((x * x) \ y). [para(3009(a,1),3059(a,1,2))]. given #5995 (H,wt=23): 6233 ((x \ y) \ 1) \ ((y \ x) * z) = (x \ y) \ ((1 / (y \ x)) * z). [hyper(112,a,3352,a(flip),b,6226,a)]. given #5996 (H,wt=23): 6234 ((x \ y) \ 1) \ (((x \ y) \ 1) \ z) = (y \ x) \ ((y \ x) \ z). [hyper(4418,a,6231,a)]. given #5997 (H,wt=23): 6256 T(K(x,y) * z,K(y,u)) * K(y,u) = K(x,y) * (K(y,u) * z). [hyper(2784,a,6255,a)]. given #5998 (H,wt=22): 6520 K(x,y) * (K(y,z) * u) != w | K(y,z) * (K(x,y) * u) = w. [para(6256(a,1),2808(a,1))]. given #5999 (H,wt=22): 6522 T(x,y) \ (T(x,z) * u) != w | K(x,z) * (K(y,x) * u) = w. [para(3943(a,2),6520(a,1))]. given #6000 (H,wt=22): 6523 T(x,y) * (T(x,z) \ u) != w | K(x,y) * (K(z,x) * u) = w. [para(6254(a,2),6520(a,1))]. given #6001 (H,wt=23): 6270 (x * ((1 / y) * z)) * ((1 / y) * z) = ((y \ z) * (y \ z)) * x. [para(6267(a,1),3252(a,2,1))]. given #6002 (H,wt=21): 6524 ((x \ y) * (x \ y)) * (x * x) = (x * y) * ((1 / x) * y). [para(3352(a,1),6270(a,1,1)),flip(a)]. given #6003 (H,wt=21): 6525 ((x * x) * (x \ y)) * (x \ y) = (x * y) * ((1 / x) * y). [hyper(3291,a,6524,a)]. given #6004 (H,wt=19): 6527 ((x \ 1) \ y) * (x \ y) = (x * y) * ((1 / x) * y). [para(3498(a,1),6525(a,1,1))]. given #6005 (H,wt=21): 6526 x * (x * ((x \ y) * (x \ y))) = (x * y) * ((1 / x) * y). [hyper(3013,a,6524,a)]. given #6006 (H,wt=17): 6528 (x * y) * ((1 / x) * y) = x * ((y / x) * y). [para(4085(a,1),6526(a,1,2)),flip(a)]. given #6007 (H,wt=17): 6529 ((x \ 1) \ y) * (x \ y) = x * ((y / x) * y). [hyper(58,a,6527,a,b,6528,a)]. given #6008 (H,wt=15): 6530 (x \ y) * (x * y) = x * ((y / x) * y). [hyper(6160,a,6529,a)]. given #6009 (H,wt=23): 6322 L(K(x,y \ (x \ z)),u * x,w) = K(L(x,u,w),(y * x) \ z). [para(6317(a,1),6278(a,1,1))]. given #6010 (H,wt=23): 6339 (x * K(y \ (z \ x),z)) * u = (y * ((z \ (y \ x)) * z)) * u. [hyper(52,a,6315,a)]. given #6011 (H,wt=23): 6342 (x * (y * z)) \ (x * (y * T(z,u))) != w | K(L(z,y,x),u) = w. [para(6275(a,2),508(a,1))]. given #6012 (H,wt=18): 6535 L(K(x,y),z * x,u) != w | K(L(x,z,u),y) = w. [para(3676(a,1),6342(a,1))]. given #6013 (H,wt=19): 6536 K(L(x,y,z),L(u,w,x)) != v5 | K(L(x,y,z),u) = v5. [para(6295(a,2),6535(a,1))]. given #6014 (H,wt=23): 6385 K((x * y) / (x * (z \ y)),u) = (x * (K(z,u) * y)) / (x * y). [para(3194(a,1),3754(a,1,1,2)),flip(a)]. given #6015 (H,wt=23): 6386 ((x * y) * y) * (z * (((y * y) * x) \ 1)) = T(z,y * (y * x)). [hyper(272,a,5989,a(flip),b,3768,a),flip(a)]. given #6016 (H,wt=23): 6392 K(x,((y / z) * u) \ (y * u)) = ((y * K(z,x)) * u) \ (y * u). [para(3696(a,1),4074(a,1,1,1)),flip(a)]. given #6017 (H,wt=23): 6393 K(x,T(y \ z,u) \ T(z,u)) = T(K(y,x) * z,u) \ T(z,u). [para(3194(a,1),4075(a,1,1,1)),flip(a)]. given #6018 (H,wt=23): 6396 ((x * x) \ y) * ((x * x) \ y) = (x \ (x \ y)) * (x \ (x \ y)). [para(3009(a,1),4142(a,2,2))]. given #6019 (H,wt=23): 6400 (K(x,y) * (x * z)) / (x * (z * K(x,y))) = K(x,K(y,x * z)). [hyper(272,a,5502,a(flip),b,4311,a),flip(a)]. given #6020 (H,wt=21): 6543 (T(x,y) * z) / (x * (z * K(x,y))) = K(x,K(y,x * z)). [para(2750(a,1),6400(a,1,1))]. given #6021 (H,wt=23): 6405 (x * (y * K(z,u))) * K(z,u) = K(z,u) * ((K(z,u) * x) * y). [para(6403(a,1),2778(a,1,1))]. given #6022 (H,wt=23): 6407 T(x \ (x \ (x \ (x \ 1))),y) = T(x * (x * (x * x)),y) \ 1. [para(3633(a,1),4407(a,1,1))]. given #6023 (H,wt=23): 6408 (x * (y \ (1 / y))) * (z * x) = x * (((y \ 1) * (y \ z)) * x). [para(3787(a,1),4606(a,2,2,1))]. given #6024 (H,wt=23): 6412 (x * (y \ (1 / y))) * K(z,y \ 1) = (x / y) * T(1 / y,z). [para(2369(a,1),4683(a,1,2))]. given #6025 (H,wt=23): 6413 (x * y) * T(x * y,y * y) = (y * y) * (y * ((x / y) * x)). [para(5094(a,1),4688(a,2,2))]. given #6026 (H,wt=23): 6427 (x * ((y * y) * (y * y))) / z = (y * (y * (y * (y * x)))) / z. [para(3544(a,1),4844(a,1,1)),flip(a)]. given #6027 (H,wt=19): 6545 (x * ((y * y) * (y * y))) / x = y * (y * (y * y)). [hyper(272,a,5039,a(flip),b,6427,a),flip(a)]. given #6028 (H,wt=19): 6546 (x * (y * (y * (y * y)))) / x = y * (y * (y * y)). [para(2956(a,1),6545(a,1,1,2))]. given #6029 (H,wt=17): 6547 T(x * (x * (x * x)),y) = x * (x * (x * x)). [hyper(2785,a,6546,a)]. given #6030 (H,wt=21): 6548 T(x \ (x \ (x \ (x \ 1))),y) = (x * (x * (x * x))) \ 1. [para(6547(a,1),6407(a,2,1))]. given #6031 (H,wt=21): 6549 T(x \ (x \ (x \ (x \ 1))),y) = x \ (x \ (x \ (x \ 1))). [hyper(272,a,4873,a(flip),b,6548,a),flip(a)]. given #6032 (H,wt=23): 6439 ((x / (y \ 1)) / (1 / x)) * (1 / y) = y * ((x * (1 / y)) * x). [para(4843(a,2),6438(a,1,1))]. given #6033 (H,wt=23): 6459 (x \ 1) * (x \ (K(y,1 / x) * z)) = T(x \ 1,y) * (x \ z). [para(2369(a,2),5222(a,1,2,2,1))]. given #6034 (H,wt=23): 6463 x \ ((y / z) \ (x * (z \ y))) = K(x,y / z) * K(z \ y,z). [hyper(112,a,6461,a(flip),b,2687,a)]. given #6035 (H,wt=21): 6552 x \ ((y / z) \ (x * (z \ y))) = z \ (y / T(y / z,x)). [hyper(272,a,6460,a(flip),b,6463,a),flip(a)]. given #6036 (H,wt=23): 6470 (x \ (1 / y)) * (x \ (1 / y)) = (x \ (y \ 1)) * (x \ (y \ 1)). [hyper(4117,a,5836,a),flip(a)]. given #6037 (H,wt=23): 6472 T(K(x,T(y,z)) * u,K(y,x)) = K(x,K(y,z)) * (u * K(x,y)). [hyper(272,a,5900,a,b,5838,a)]. given #6038 (H,wt=23): 6483 (x * (y * (1 / (1 / z)))) / (1 / (1 / z)) = (x * (y * z)) / z. [hyper(272,a,663,a(flip),b,6479,a),flip(a)]. given #6039 (H,wt=23): 6492 (x * (y * ((z \ 1) \ 1))) * (1 / z) = z * (((z \ 1) * x) * y). [hyper(125,a,5892,a)]. given #6040 (H,wt=23): 6513 L((L(x,y,z) * x) * u,x,x) = (x * L(x,y,z)) * L(u,x,x). [para(219(a,2),6149(a,1,1,1))]. given #6041 (H,wt=23): 6515 T(x * (y * x),x * ((y * x) \ 1)) = (((1 / x) \ y) \ 1) \ x. [para(3008(a,1),6159(a,1,2))]. given #6042 (H,wt=21): 6558 T(x * (y * x),x / (y * x)) = (((1 / x) \ y) \ 1) \ x. [hyper(6059,a,6515,a)]. given #6043 (H,wt=19): 6559 T(x * (y * x),y \ 1) = (((1 / x) \ y) \ 1) \ x. [hyper(58,a,4479,a(flip),b,6558,a)]. given #6044 (H,wt=17): 6560 T(x * (y * x),y \ 1) = x / (1 / (y * x)). [hyper(272,a,3512,a(flip),b,6559,a),flip(a)]. given #6045 (H,wt=19): 6562 (x * T(x,y)) * T(y,y \ 1) = x / (1 / (y * x)). [hyper(58,a,5019,a,b,6560,a)]. given #6046 (H,wt=21): 6563 ((x \ 1) \ (y * T(y,x))) * x = x * (y / (1 / (x * y))). [para(6562(a,1),1992(a,1,2)),flip(a)]. given #6047 (H,wt=21): 6564 (x * x) * (x * ((y / x) * y)) = x * (y / (1 / (x * y))). [hyper(58,a,4532,a(flip),b,6563,a)]. given #6048 (H,wt=23): 6518 ((x \ y) \ 1) \ ((y \ x) * z) = (z / (y \ x)) * ((x \ y) \ 1). [hyper(272,a,4662,a(flip),b,6233,a),flip(a)]. given #6049 (H,wt=19): 6565 ((x \ y) * ((y \ x) * z)) * (x \ y) = z / (y \ x). [hyper(727,a,6518,a)]. given #6050 (H,wt=19): 6566 (x \ y) * ((y \ x) * (z * (y \ x))) = z / (x \ y). [hyper(113,a,6,a(flip),b,6565,a),flip(a)]. given #6051 (H,wt=19): 6568 ((x \ y) \ z) / (x \ y) = ((y \ x) * z) * (y \ x). [para(5(a,1),6565(a,1,1,2)),flip(a)]. given #6052 (H,wt=19): 6569 (x \ y) \ (z / (x \ y)) = (y \ x) * (z * (y \ x)). [hyper(117,a,6566,a)]. given #6053 (H,wt=21): 6567 ((x \ y) * z) / ((y \ x) \ 1) = (y \ x) \ (z / (x \ y)). [hyper(112,a,6565,a(flip),b,696,a),flip(a)]. given #6054 (H,wt=21): 6571 ((x \ y) \ (z / (y \ x))) / (x \ y) = ((y \ x) \ 1) \ z. [hyper(272,a,3480,a(flip),b,6568,a),flip(a)]. given #6055 (H,wt=21): 6574 (x \ y) * (z / ((y \ x) \ 1)) = (x \ y) \ (z / (y \ x)). [hyper(58,a,4664,a(flip),b,6567,a)]. given #6056 (H,wt=22): 6572 x / (y \ z) != ((z \ y) * u) * (z \ y) | (y \ z) \ u = x. [para(6568(a,1),41(a,1)),flip(a)]. given #6057 (H,wt=23): 6519 ((x \ y) \ 1) \ (y \ (y / x)) = (y \ x) \ ((y \ x) \ (y \ 1)). [para(6399(a,1),6234(a,1,2))]. given #6058 (H,wt=23): 6521 (x * K(y * z,y)) * K(y,z) = K(y * z,y) * (K(y,z) * x). [para(5552(a,1),6256(a,1,1))]. given #6059 (H,wt=23): 6538 K(x,(y * z) / (y * (u \ z))) * (y * (K(u,x) * z)) = y * z. [hyper(3906,a,6385,a)]. given #6060 (H,wt=19): 6579 K(x,(y * (K(z,x) * u)) \ w) = K(x,(y * u) \ w). [para(6538(a,1),5821(a,1,2,1)),flip(a)]. given #6061 (H,wt=21): 6578 K(x,y) * (R(y,z,u) * (K(y,x) * w)) = R(y,z,u) * w. [para(1091(a,1),6538(a,1,1,2))]. given #6062 (H,wt=23): 6539 ((x * y) * y) * (z * (((y * y) * x) \ 1)) = T(z,x * (y * y)). [para(2956(a,2),6386(a,2,2))]. given #6063 (H,wt=23): 6540 ((x * K(y,z)) * u) * K(z,((x / y) * u) \ (x * u)) = x * u. [hyper(114,a,6392,a,b,xx)]. given #6064 (H,wt=23): 6541 T(K(x,y) * z,u) * K(y,T(x \ z,u) \ T(z,u)) = T(z,u). [hyper(114,a,6393,a,b,xx)]. given #6065 (H,wt=15): 6584 K(x,T(K(y,x) * z,u)) = K(x,T(z,u)). [para(6541(a,1),5374(a,1,2)),flip(a)]. given #6066 (H,wt=15): 6585 K(T(x,y),K(z,x) * u) = K(x,T(u,y)). [hyper(5293,a,6584,a)]. given #6067 (H,wt=17): 6586 K(T(x,y),T(x,z) \ u) = K(x,T(x \ u,y)). [para(3885(a,1),6585(a,1,2))]. given #6068 (H,wt=23): 6542 x * ((x \ (x \ y)) * (x \ (x \ y))) = ((x * x) \ y) * (y / x). [para(6396(a,1),3268(a,1,2))]. given #6069 (H,wt=19): 6587 ((x \ y) / x) * (x \ y) = ((x * x) \ y) * (y / x). [hyper(4118,a,6542,a)]. given #6070 (H,wt=23): 6544 (T(x,y) * z) / (x * (z * K(x,y))) = K(K(y,x),T(x,y) * z). [hyper(272,a,5532,a,b,6543,a),flip(a)]. given #6071 (H,wt=17): 6588 T(T(x,y) * z,K(y,x)) = x * (z * K(x,y)). [hyper(31,a,2670,a(flip),b,6544,a)]. given #6072 (H,wt=23): 6551 (x \ 1) * (x \ (K(1 / x,y) * z)) = T(x \ 1,y) * (x \ z). [para(28(a,1),6459(a,1,2,2,1))]. given #6073 (H,wt=19): 6589 x \ (T(1 / x,y) * z) = T(x \ 1,y) * (x \ z). [hyper(58,a,3180,a(flip),b,6551,a)]. given #6074 (H,wt=23): 6554 (x * (y * ((z \ 1) \ 1))) / (1 / (1 / z)) = (x * (y * z)) / z. [para(2898(a,1),6483(a,1,1,2,2))]. given #6075 (H,wt=23): 6575 ((x \ y) \ 1) \ (y \ (y / x)) = (y \ x) \ (y * ((x * y) \ 1)). [para(4344(a,1),6519(a,2,2))]. given #6076 (H,wt=23): 6576 K(x * y,x) * (K(x,y) * z) = z * (K(x,y) * K(x * y,x)). [hyper(58,a,6376,a(flip),b,6521,a),flip(a)]. given #6077 (H,wt=23): 6577 K(x,(y * z) / (y * (u \ z))) = (y * z) / (y * (K(u,x) * z)). [hyper(122,a,6538,a),flip(a)]. given #6078 (H,wt=23): 6580 K(x,y / ((z * (K(u,x) * w)) * v5)) = K(x,y / ((z * w) * v5)). [para(6538(a,1),6260(a,1,2,2,1)),flip(a)]. given #6079 (H,wt=23): 6582 ((x * y) * y) * (z * (y \ (y \ (x \ 1)))) = T(z,x * (y * y)). [para(3478(a,1),6539(a,1,2,2))]. given #6080 (H,wt=23): 6583 K(((x / y) * z) \ (x * z),u) = (x * z) \ ((x * K(y,u)) * z). [para(6540(a,1),3899(a,1,1)),flip(a)]. given #6081 (H,wt=23): 6590 T((x \ y) \ 1,x) * ((x \ y) \ z) = (x \ y) \ ((x / y) * z). [para(3030(a,1),6589(a,1,2,1)),flip(a)]. given #6082 (H,wt=23): 6591 (x * (1 / (y * (z * ((x \ 1) \ 1))))) \ 1 = (y * (z * x)) / x. [hyper(4791,a,6554,a)]. given #6083 (H,wt=24): 2710 (x * K(y,z)) * L(y,u,w) != v5 | x * (K(y,z) * L(y,u,w)) = v5. [para(2706(a,1),671(a,1,2,1))]. given #6084 (H,wt=24): 2860 T((x * (1 / y)) / x,T(y,z) / y) != u | (x * (1 / y)) / x = u. [para(857(a,1),2810(a,1,1))]. given #6085 (H,wt=24): 2896 (x * (y * z)) \ ((x * (z * K(y,z))) * y) = a(x,z * K(y,z),y). [para(2746(a,1),9(a,2,1,2)),flip(a)]. given #6086 (H,wt=22): 6592 (x * (y * z)) \ ((x * z) * T(y,z)) = a(x,z * K(y,z),y). [para(3714(a,1),2896(a,1,2))]. given #6087 (H,wt=15): 6593 a(x,y * K(z,y),z) = a(x,y,T(z,y)). [hyper(859,a,6592,a),flip(a)]. given #6088 (H,wt=13): 6594 a(x,T(y,z),z) = a(x,y,T(z,y)). [para(2652(a,2),6593(a,1,2))]. given #6089 (H,wt=24): 3045 T(T(x,y) \ 1,y \ 1) != (y \ 1) * z | T(x \ y,y \ 1) = z. [para(2999(a,2),416(a,1,1))]. given #6090 (H,wt=24): 3577 (x * (y / x)) * L(z,y * x,x \ 1) = (x \ 1) * ((y * x) * z). [para(3541(a,1),87(a,1,1))]. given #6091 (H,wt=24): 3600 T(L(x / y,z,u) \ 1,y) != w | (y * L(y \ x,z,u)) \ y = w. [para(559(a,1),2913(a,1,1,1))]. given #6092 (H,wt=24): 3603 ((((1 / x) * y) * z) * x) * x != u | x * ((y * (z * x)) / x) = u. [para(664(a,2),2947(a,1,1))]. given #6093 (H,wt=24): 3666 L(x,y,z) * K(u,a(1 / x,z,y)) = x * T(a(1 / x,z,y),u). [para(2520(a,2),3659(a,1,1))]. given #6094 (H,wt=24): 3681 R(x * y,K(y,x),K(x,z)) \ (y * T(x,z)) = K(y,x) * K(x,z). [para(3664(a,1),468(a,1,2))]. given #6095 (H,wt=17): 6596 (x * y) \ (y * T(x,z)) = K(y,x) * K(x,z). [para(6372(a,1),3681(a,1,1))]. given #6096 (H,wt=16): 6598 K(x,y) * K(y,y \ x) = a(y,x / y,y). [hyper(58,a,2253,a(flip),b,6596,a),flip(a)]. given #6097 (H,wt=15): 6601 x \ R(x,x \ y,x) = a(x,y / x,x). [hyper(58,a,4289,a,b,6598,a)]. given #6098 (H,wt=15): 6604 a(x,(x * y) / x,x) = x \ R(x,y,x). [para(4(a,1),6601(a,1,2,2)),flip(a)]. given #6099 (H,wt=13): 6605 x \ R(x,T(y,x),x) = a(x,y,x). [para(206(a,1),6604(a,1,2)),flip(a)]. given #6100 (H,wt=11): 6606 x \ R(x,y,x) = a(x,y,x). [para(2348(a,1),6605(a,1,2))]. given #6101 (H,wt=11): 6607 L(x,y,x) \ x = a(x,y,x). [hyper(5135,a,6606,a)]. given #6102 (H,wt=11): 6610 R(x,y,x) / x = a(x,y,x). [hyper(1687,a,6606,a)]. given #6103 (H,wt=11): 6611 a(x,y,x) * x = R(x,y,x). [para(6606(a,1),1682(a,1,1))]. given #6104 (H,wt=11): 6614 a(x,y,x) \ x = L(x,y,x). [para(6606(a,1),5134(a,1,1))]. given #6105 (H,wt=11): 6615 x / a(x,y,x) = L(x,y,x). [hyper(178,a,6607,a)]. given #6106 (H,wt=14): 6608 K(x,y) * K(x * y,x) = a(x,y,x). [hyper(4290,a,6606,a)]. given #6107 (H,wt=14): 6609 K(x * y,x) * K(x,y) = a(x,y,x). [hyper(4264,a,6606,a)]. given #6108 (H,wt=14): 6612 a(x,y,x) != z | R(x,y,x) / x = z. [para(6606(a,1),1687(a,1))]. given #6109 (H,wt=14): 6613 T(x * y,x) / x = y * a(x,y,x). [para(6606(a,1),4851(a,1,2)),flip(a)]. given #6110 (H,wt=14): 6617 a(x,y,x) != z \ x | L(x,y,x) = z. [para(6607(a,1),43(a,1))]. given #6111 (H,wt=14): 6618 x / a(x,y,x) != z | L(x,y,x) = z. [para(6607(a,1),280(a,1,2))]. given #6112 (H,wt=14): 6619 a(x,y,x) * K(x,x * y) = K(x,y). [hyper(3914,a,6608,a)]. given #6113 (H,wt=14): 6620 K(x,y) * a(y,x,y) = K(y * x,y). [hyper(3894,a,6608,a)]. given #6114 (H,wt=14): 6621 K(x,x * y) * a(x,y,x) = K(x,y). [hyper(114,a,6608,a(flip),b,3729,a)]. given #6115 (H,wt=14): 6622 (x * y) * a(y,x,y) = T(y * x,y). [para(6608(a,1),5713(a,1,2))]. given #6116 (H,wt=15): 6626 (x * y) / L(y,z,y) = x * a(y,z,y). [para(6609(a,1),6374(a,1,2)),flip(a)]. given #6117 (H,wt=15): 6632 x * (L(x,y,x) \ z) = z * a(x,y,x). [hyper(58,a,6335,a(flip),b,6626,a)]. given #6118 (H,wt=15): 6633 (x \ y) * a(x,z,x) = L(x,z,x) \ y. [hyper(1284,a,6632,a),flip(a)]. given #6119 (H,wt=15): 6634 (L(x,y,x) * z) * a(x,y,x) = x * z. [hyper(507,a,6632,a),flip(a)]. given #6120 (H,wt=15): 6635 L(x,y,x) * (x \ z) = z / a(x,y,x). [hyper(495,a,6632,a),flip(a)]. given #6121 (H,wt=16): 6602 a(x,y / x,x) * K(x,y) = K(x,x \ y). [para(6598(a,1),3240(a,1,1))]. given #6122 (H,wt=16): 6603 a(x,y / x,x) \ K(y,x) = K(x \ y,x). [para(6598(a,1),3899(a,1,1))]. given #6123 (H,wt=16): 6628 T(x * a(y,x,y),y) = y \ T(y * x,y). [para(6613(a,1),100(a,1,1))]. given #6124 (H,wt=18): 6623 K(x * y,x) * (K(x,y) * z) = z * a(x,y,x). [para(6608(a,1),6576(a,2,2))]. given #6125 (H,wt=18): 6624 K(x * y,x) * (K(x,y) * z) = a(x,y,x) * z. [para(6609(a,1),6381(a,1,1)),flip(a)]. given #6126 (H,wt=8): 6641 T(x,a(y,z,y)) = x. [hyper(215,a,6623,a(flip),b,6624,a(flip))]. given #6127 (H,wt=11): 6642 T(a(x,y,x),z) = a(x,y,x). [hyper(215,a,6624,a(flip),b,6623,a(flip))]. given #6128 (H,wt=13): 6640 a(x,y,x) * z = z * a(x,y,x). [hyper(58,a,6623,a(flip),b,6624,a),flip(a)]. given #6129 (H,wt=13): 6643 a(x,y,x) \ (z * a(x,y,x)) = z. [hyper(112,a,6623,a(flip),b,6624,a(flip))]. given #6130 (H,wt=13): 6646 x / a(y,z,y) = a(y,z,y) \ x. [hyper(2830,a,6641,a),flip(a)]. given #6131 (H,wt=13): 6647 (a(x,y,x) \ z) \ z = a(x,y,x). [hyper(2284,a,6641,a)]. given #6132 (H,wt=13): 6648 (a(x,y,x) \ z) * a(x,y,x) = z. [hyper(128,a,6641,a)]. given #6133 (H,wt=14): 6654 a(x,y,x) * (y * x) = T(x * y,x). [hyper(272,a,6622,a(flip),b,6640,a),flip(a)]. given #6134 (H,wt=14): 6659 a(x,y,x) \ x != z | L(x,y,x) = z. [para(6646(a,1),6618(a,1))]. given #6135 (H,wt=15): 6651 a(x,y,x) * (z \ 1) = z \ a(x,y,x). [para(6641(a,1),2935(a,1,1)),flip(a)]. given #6136 (H,wt=15): 6655 a(x,y,x) \ (x * z) = L(x,y,x) * z. [hyper(112,a,6634,a(flip),b,6640,a)]. given #6137 (H,wt=15): 6656 a(x,y,x) \ (L(x,y,x) \ z) = x \ z. [hyper(112,a,6633,a(flip),b,6640,a)]. given #6138 (H,wt=15): 6658 L(x,y,x) * (x \ z) = a(x,y,x) \ z. [hyper(58,a,6635,a,b,6646,a)]. given #6139 (H,wt=15): 6661 (x \ 1) * a(y,z,y) = x \ a(y,z,y). [hyper(58,a,6640,a(flip),b,6651,a)]. given #6140 (H,wt=16): 6649 a(x,y,x) * z != u | z * a(x,y,x) = u. [para(6641(a,1),248(a,1,2))]. given #6141 (H,wt=16): 6650 x / a(y,z,y) != u | a(y,z,y) \ x = u. [para(6641(a,1),581(a,1))]. given #6142 (H,wt=16): 6652 x * a(y,z,y) != u | a(y,z,y) * x = u. [para(6641(a,1),2808(a,1,1))]. given #6143 (H,wt=18): 6625 x * (K(y,z) * K(z,z * y)) = x / a(z,y,z). [para(6609(a,1),6383(a,1,2)),flip(a)]. given #6144 (H,wt=15): 6665 (x / R(y,z,y)) * y = x / a(y,z,y). [hyper(58,a,6373,a(flip),b,6625,a)]. given #6145 (H,wt=15): 6666 x * (y \ L(y,z,y)) = x / a(y,z,y). [para(4260(a,1),6625(a,1,2))]. given #6146 (H,wt=15): 6667 (x * a(y,z,y)) / R(y,z,y) = x / y. [hyper(113,a,6,a(flip),b,6665,a),flip(a)]. given #6147 (H,wt=15): 6668 x * (y \ L(y,z,y)) = a(y,z,y) \ x. [hyper(272,a,6646,a(flip),b,6666,a),flip(a)]. given #6148 (H,wt=15): 6669 (x / y) * R(y,z,y) = x * a(y,z,y). [hyper(125,a,6667,a)]. given #6149 (H,wt=15): 6670 (x * y) * a(y,z,y) = x * R(y,z,y). [para(6(a,1),6669(a,1,1)),flip(a)]. given #6150 (H,wt=15): 6671 (x * R(y,z,y)) / (x * y) = a(y,z,y). [hyper(113,a,6670,a(flip),b,6640,a)]. given #6151 (H,wt=18): 6637 K(x,x * y) * (z * a(x,y,x)) = K(x,y) * z. [hyper(3894,a,6623,a)]. given #6152 (H,wt=18): 6638 K(x,y) \ (z * a(x,y,x)) = K(x * y,x) * z. [hyper(112,a,6623,a(flip),b,6255,a)]. given #6153 (H,wt=18): 6645 a(x,y,x) * (K(y,x) * z) = K(x * y,x) * z. [para(3880(a,1),6624(a,1,2)),flip(a)]. given #6154 (H,wt=18): 6662 K(x,x * y) * (K(y,x) * z) = a(x,y,x) \ z. [hyper(58,a,5173,a,b,6658,a)]. given #6155 (H,wt=18): 6672 a(x,y,x) * (z * x) != u | z * R(x,y,x) = u. [para(6671(a,1),227(a,1,1))]. given #6156 (H,wt=18): 6677 K(x,y) * (z * a(y,x,y)) = K(y * x,y) * z. [hyper(3896,a,6638,a)]. given #6157 (H,wt=18): 6678 K(x,y) * (K(y,y * x) * z) = a(y,x,y) \ z. [hyper(112,a,3880,a(flip),b,6645,a),flip(a)]. given #6158 (H,wt=18): 6679 K(x,y) * (a(y,x,y) * z) = K(y * x,y) * z. [para(6640(a,2),6677(a,1,2))]. given #6159 (H,wt=20): 6599 (x * y) \ (y * T(x,z)) != u | K(x,z) * K(y,x) = u. [para(6596(a,2),1495(a,1))]. given #6160 (H,wt=20): 6653 (x * (y * a(z,u,z))) / (x * y) = L(a(z,u,z),y,x). [para(6642(a,1),2818(a,2,1))]. given #6161 (H,wt=20): 6663 T(x \ a(y,x \ 1,y),y) = y \ T(y * (x \ 1),y). [para(6661(a,1),6628(a,1,1))]. given #6162 (H,wt=21): 6631 x \ y != K(z,u) * K(z * u,z) | x * a(z,u,z) = y. [para(6620(a,1),3904(a,2,2))]. given #6163 (H,wt=21): 6664 K(x * y,x) * (K(x,y) * z) != u | z * a(x,y,x) = u. [para(6624(a,2),6649(a,1))]. given #6164 (H,wt=17): 6684 K(x * y,x) != z | K(y,x) * a(x,y,x) = z. [para(2881(a,1),6664(a,1))]. given #6165 (H,wt=22): 6636 (L(x,y,x) * z) * a(x,y,x) != u * w | u \ (x * z) = w. [para(6632(a,1),802(a,1))]. given #6166 (H,wt=23): 6627 R(T(x * y,x) / x,z,u) = R(y,z,u) * a(x,R(y,z,u),x). [hyper(58,a,1446,a,b,6613,a)]. given #6167 (H,wt=22): 6685 R(x,y,z) * a(u,R(x,y,z),u) = R(x * a(u,x,u),y,z). [para(6613(a,1),6627(a,1,1)),flip(a)]. given #6168 (H,wt=23): 6644 K(x * y,x) * (K(x,y) * z) != z * u | T(a(x,y,x),z) = u. [para(6624(a,2),216(a,2)),flip(a)]. given #6169 (H,wt=24): 3720 L(x * K(y,x),z,u) * T(y,x) != w | T(y,x) * L(x,z,u) = w. [para(2895(a,1),760(a,1,1,1))]. given #6170 (H,wt=24): 3942 K(x,L(y,z,u) \ y) * L(y,z,u) = T(L(y,z,u) \ y,x) \ y. [para(2498(a,1),3885(a,1,2))]. given #6171 (H,wt=24): 4291 (x \ (x \ y)) * K(z,x \ 1) != u | (y / x) * T(x \ 1,z) = u. [para(2835(a,1),4266(a,1,1))]. given #6172 (H,wt=24): 4605 L(x * (y * x),x * (y * x),x * (y * x)) = ((x * y) \ 1) \ x. [hyper(2016,a,4202,a)]. given #6173 (H,wt=24): 4613 K(x,y) * (T(z,x) * K(x,u)) != w | T(x,y) \ (z * T(x,u)) = w. [para(4609(a,1),4016(a,1,2))]. given #6174 (H,wt=24): 4618 ((x * y) * (x * y)) / y != z * u | (x * T(x * y,y)) / u = z. [para(4322(a,1),276(a,1,1))]. given #6175 (H,wt=24): 4666 (1 / (x \ y)) \ z != (x \ y) * u | T(T(z,y \ x),x \ y) = u. [para(4469(a,1),216(a,2)),flip(a)]. given #6176 (H,wt=24): 4668 T(1 / T(x,x \ y),y / x) != z | (y / x) \ ((x * x) \ y) = z. [para(4507(a,1),581(a,1,1))]. given #6177 (H,wt=24): 4704 T(x * (1 / L(x,y,z)),L(x,y,z) \ 1) = x * (1 / L(x,y,z)). [para(156(a,1),4568(a,1,1,1))]. given #6178 (H,wt=24): 4719 ((x * y) * (x * y)) / y != z * u | (x * ((1 / y) \ x)) / u = z. [para(4619(a,1),276(a,1,1))]. given #6179 (H,wt=24): 4738 x \ y != z * ((z \ 1) \ (u / z)) | x * (u * ((z \ 1) \ 1)) = y. [para(4732(a,1),537(a,2))]. given #6180 (H,wt=24): 4747 L(K(x,y),z,u) * K(w,x) != v5 | K(w,x) * L(K(x,y),z,u) = v5. [para(1490(a,1),2817(a,1,1,1))]. given #6181 (H,wt=24): 4783 L(x,y,y) * (z * L(x,y,y)) = (x * x) * T(z,L(x,y,y) \ 1). [para(4781(a,1),3092(a,1,1)),flip(a)]. given #6182 (H,wt=21): 6688 L(x,y,y) * (z * L(x,y,y)) = (x * x) * T(z,x \ 1). [para(5990(a,1),4783(a,2,2))]. given #6183 (H,wt=17): 6689 L(x,y,y) * (z * L(x,y,y)) = x * (z * x). [hyper(272,a,3092,a(flip),b,6688,a),flip(a)]. given #6184 (H,wt=22): 6691 L(x,y,y) * T(L(x,y,y),z) = x * (K(L(x,y,y),z) * x). [para(2741(a,2),6689(a,1,2))]. given #6185 (H,wt=22): 6692 L(x,y,y) * L(T(x,z),y,y) = x * (K(L(x,y,y),z) * x). [para(20(a,2),6691(a,1,2))]. given #6186 (H,wt=19): 6693 x * (K(L(x,y,y),z) * x) = L(x * T(x,z),y,y). [hyper(58,a,5939,a(flip),b,6692,a),flip(a)]. given #6187 (H,wt=16): 6694 L(x * T(x,y),z,z) = x * (K(x,y) * x). [para(6094(a,1),6693(a,1,2,1)),flip(a)]. given #6188 (H,wt=14): 6695 L(x * T(x,y),z,z) = x * T(x,y). [para(2741(a,2),6694(a,2,2))]. given #6189 (H,wt=17): 6697 (1 / x) * T(1 / x,y) = x \ T(1 / x,y). [hyper(58,a,1996,a(flip),b,6695,a),flip(a)]. given #6190 (H,wt=17): 6698 (1 / x) \ (y * T(y,z)) = x * (y * T(y,z)). [hyper(114,a,6695,a(flip),b,1998,a),flip(a)]. given #6191 (H,wt=17): 6704 (x * (y * T(y,x))) * x = x * ((y * x) * y). [para(6698(a,1),4696(a,1,1))]. given #6192 (H,wt=15): 6707 (x * (y * x)) * y = y * ((x * y) * x). [para(5011(a,1),6704(a,1,1))]. given #6193 (H,wt=17): 6705 x * (x * (y * T(y,x))) = ((y * x) * y) * x. [para(6698(a,1),4698(a,1,2))]. given #6194 (H,wt=15): 6710 ((x * y) * x) * y = y * (x * (y * x)). [para(5011(a,1),6705(a,1,2)),flip(a)]. given #6195 (H,wt=17): 6706 (x * y) * T(y * x,x) = x * ((y * x) * y). [hyper(1172,a,6704,a)]. given #6196 (H,wt=17): 6711 (x * y) * ((1 / x) \ y) = x * ((y * x) * y). [hyper(58,a,2917,a(flip),b,6706,a)]. given #6197 (H,wt=19): 6699 ((x * T(x,y)) \ z) \ 1 = (z \ 1) * (x * T(x,y)). [para(6695(a,1),4153(a,1,1,1))]. given #6198 (H,wt=15): 6712 (x \ (T(x,y) \ 1)) \ 1 = x * T(x,y). [hyper(29,a,4110,a,b,6699,a(flip))]. given #6199 (H,wt=15): 6713 1 / (x * T(x,y)) = x \ (T(x,y) \ 1). [hyper(178,a,6712,a)]. given #6200 (H,wt=17): 6714 T(x \ (T(x,y) \ 1),y) = y / (x * (y * x)). [para(6713(a,1),5017(a,1,1))]. given #6201 (H,wt=15): 6715 x / (y * (x * y)) = ((y * x) * y) \ x. [hyper(58,a,4731,a(flip),b,6714,a),flip(a)]. given #6202 (H,wt=19): 6702 T(x \ T(1 / x,y),x \ 1) = T(1 / x,y) / x. [para(6697(a,1),1979(a,1,1))]. given #6203 (H,wt=17): 6716 x \ T(T(1 / x,y),x) = T(1 / x,y) / x. [hyper(58,a,2936,a(flip),b,6702,a)]. given #6204 (H,wt=15): 6717 T(1 / x,y) / x = x \ T(x \ 1,y). [para(222(a,1),6716(a,1,2)),flip(a)]. given #6205 (H,wt=17): 6718 (x \ 1) * T(1 / x,y) = x \ T(x \ 1,y). [hyper(58,a,5831,a,b,6717,a)]. given #6206 (H,wt=19): 6708 T(x * ((1 / y) * x),y \ 1) = (x * (1 / y)) * x. [hyper(1984,a,6707,a(flip))]. given #6207 (H,wt=17): 6719 (x * T(x,y \ 1)) / y = (x * (1 / y)) * x. [hyper(58,a,5069,a(flip),b,6708,a)]. given #6208 (H,wt=19): 6709 x * (((1 / y) * x) * (1 / y)) = (y \ (x / y)) * x. [para(3830(a,1),6707(a,1,1)),flip(a)]. given #6209 (H,wt=15): 6721 (x \ (y / x)) * y = y * ((x \ y) / x). [para(757(a,1),6709(a,1,2)),flip(a)]. given #6210 (H,wt=13): 6722 T(x \ (y / x),y) = (x \ y) / x. [hyper(215,a,6721,a,b,xx)]. given #6211 (H,wt=15): 6727 ((x \ y) / x) * y = y * (x \ (y / x)). [para(6722(a,1),2778(a,1,1))]. given #6212 (H,wt=20): 6703 x \ (y * T(y,z)) != u * (y * T(y,z)) | 1 / u = x. [para(6698(a,1),43(a,1)),flip(a)]. given #6213 (H,wt=20): 6724 x * ((y \ x) / y) != x * z | T(y \ (x / y),x) = z. [para(6721(a,1),216(a,2)),flip(a)]. given #6214 (H,wt=21): 6700 (x \ 1) \ (1 / (y * T(y,z))) = 1 / ((y * T(y,z)) / x). [para(6695(a,1),4170(a,1,2,2))]. given #6215 (H,wt=21): 6720 T(x * (y * ((1 / x) * y)),x) = x * ((y * (1 / x)) * y). [hyper(114,a,6708,a(flip),b,2937,a),flip(a)]. given #6216 (H,wt=23): 6701 x \ (T(1 / x,y) * (z * x)) = ((x \ T(1 / x,y)) * z) * x. [para(6697(a,1),664(a,1,1,1)),flip(a)]. given #6217 (H,wt=23): 6723 x * ((x \ 1) * ((y \ (x \ 1)) / y)) = T(y \ ((x \ 1) / y),x). [hyper(114,a,6721,a(flip),b,2789,a)]. given #6218 (H,wt=23): 6730 x * ((x \ 1) * ((x * y) \ (1 / y))) = T(y \ ((x \ 1) / y),x). [para(4858(a,1),6723(a,1,2,2))]. given #6219 (H,wt=24): 4811 (1 / x) \ (1 / ((x \ 1) \ y)) != x * z | T((x \ 1) / y,x) = z. [para(3066(a,2),216(a,2)),flip(a)]. given #6220 (H,wt=24): 5023 (1 / x) \ ((x * y) * L(y,x,x)) = (x * y) * T(x * y,1 / x). [para(3118(a,1),5012(a,1,2,2))]. given #6221 (H,wt=22): 6731 (x * y) * T(x * y,1 / x) = x * (L(x * y,x,x) * y). [hyper(58,a,5952,a(flip),b,5023,a),flip(a)]. given #6222 (H,wt=21): 6732 (x * y) * T(x * y,1 / x) = x * (((x \ 1) \ y) * y). [para(2002(a,1),6731(a,2,2,1))]. given #6223 (H,wt=24): 5120 T(x,y) * (z * (x \ 1)) != u * w | (K(x,y) * T(z,x)) / w = u. [para(2789(a,1),3216(a,1,2))]. given #6224 (H,wt=24): 5137 T(x,(y \ a(y,z,u)) \ 1) = T(x,(z * (u * (y \ 1))) \ (z * u)). [para(1184(a,1),4465(a,2,2,1)),flip(a)]. given #6225 (H,wt=24): 5318 R(T(K(x,T(y,z)),z * u),z,u) = (z * u) \ ((z * K(x,y)) * u). [para(5252(a,1),546(a,1,2,1)),flip(a)]. given #6226 (H,wt=24): 5402 K(R(x,y,z),u * K(x,w)) = R(x * K(u,x),y,z) \ R(x,y,z). [para(5399(a,1),4327(a,1,1,1,2)),flip(a)]. given #6227 (H,wt=17): 6734 K(R(x,y,z),u * K(x,w)) = K(R(x,y,z),u). [hyper(272,a,4327,a(flip),b,5402,a),flip(a)]. given #6228 (H,wt=17): 6735 K(R(x,y,z),u * K(w,x)) = K(R(x,y,z),u). [para(28(a,1),6734(a,1,2,2))]. given #6229 (H,wt=24): 5424 L(x,y,z) \ L(T(x,T(u,w)),y,z) = K(L(x,y,z),T(u,x \ w)). [para(5422(a,1),2735(a,1,2,1))]. given #6230 (H,wt=19): 6737 K(L(x,y,z),T(u,x \ w)) = K(L(x,y,z),T(u,w)). [hyper(3086,a,5424,a),flip(a)]. given #6231 (H,wt=19): 6738 K(L((x \ y) \ y,z,u),w) = K(L(x,z,u),T(w,y)). [hyper(58,a,5269,a,b,6737,a)]. given #6232 (H,wt=21): 6739 K(T(x,y \ z),L(y,u,w)) = 1 / K(L(y,u,w),T(x,z)). [para(6737(a,1),2880(a,1,2)),flip(a)]. given #6233 (H,wt=19): 6741 K(T(x,y \ z),L(y,u,w)) = K(T(x,z),L(y,u,w)). [hyper(272,a,2880,a(flip),b,6739,a),flip(a)]. given #6234 (H,wt=19): 6742 K(T(x,y \ z),L(y,u,w)) = K(x,L(T(y,z),u,w)). [hyper(272,a,5265,a(flip),b,6741,a),flip(a)]. given #6235 (H,wt=19): 6743 K(x,L(T(y,y \ z),u,w)) = K(x,L(T(y,z),u,w)). [hyper(5455,a,6742,a)]. given #6236 (H,wt=19): 6744 K(x,L(T(y,y * z),u,w)) = K(x,L(T(y,z),u,w)). [para(4(a,1),6743(a,1,2,1,2)),flip(a)]. given #6237 (H,wt=24): 5672 ((x * (x * K(y,z))) * u) / (K(y,z) * u) = R(x * x,K(y,z),u). [para(5588(a,1),15(a,2,1,1)),flip(a)]. given #6238 (H,wt=24): 5840 K(x,y) * K(L(x,z,u) * y,T(x,y)) = L(x,y,L(x,z,u)) \ x. [para(1362(a,1),5806(a,1,1)),flip(a)]. given #6239 (H,wt=22): 6746 K(x,y) * K(y * L(x,z,u),x) = L(x,y,L(x,z,u)) \ x. [para(6087(a,1),5840(a,1,2))]. given #6240 (H,wt=24): 5891 x * (y \ (z \ ((z * y) \ 1))) != u | (y * z) \ ((y * z) \ x) = u. [para(5889(a,1),4393(a,1,2))]. given #6241 (H,wt=24): 5922 (x * y) \ ((x * y) \ x) != z * u | z \ (y \ ((y * x) \ 1)) = u. [para(5890(a,1),341(a,1))]. given #6242 (H,wt=24): 5960 L(x * (y * y),z,z) != u * w | (y * (y * L(x,z,z))) / w = u. [para(5945(a,2),3014(a,1))]. given #6243 (H,wt=24): 6113 T(x,((y \ 1) \ (1 / z)) * u) != w | T(x,(z * (1 / y)) \ u) = w. [para(4149(a,1),6105(a,1,2,1))]. given #6244 (H,wt=24): 6136 ((x * (x * L(y,z,z))) \ 1) \ 1 = z * (((x * (x * y)) \ z) \ 1). [para(6119(a,1),4950(a,1,1,1))]. given #6245 (H,wt=24): 6211 L(K(x,T(T(y,z),u * z)),z,u) = (u * (K(x,y) * z)) / (u * z). [para(5236(a,1),5256(a,1,1,2)),flip(a)]. given #6246 (H,wt=24): 6213 (x * ((x / (1 / y)) / y)) / (1 / y) = L(((y \ 1) \ x) * x,y,y). [hyper(272,a,5944,a,b,5878,a),flip(a)]. given #6247 (H,wt=24): 6273 (x * (K(y,z) * L(y,u,w))) \ (x * L(y,u,w)) != v5 | K(z,y) = v5. [para(6272(a,1),3924(a,1,1))]. given #6248 (H,wt=24): 6314 K((T(x,y) * z) \ (y \ ((x * y) * z)),y) = K(a(y,T(x,y),z),y). [para(209(a,1),6285(a,1,1)),flip(a)]. given #6249 (H,wt=17): 6750 K((T(x,y) * z) \ (y \ ((x * y) * z)),y) = 1. [hyper(272,a,1193,a(flip),b,6314,a),flip(a)]. given #6250 (H,wt=15): 6752 K((x * y) \ (z \ ((x * z) * y)),z) = 1. [hyper(58,a,5814,a(flip),b,6750,a)]. given #6251 (H,wt=24): 6416 (((x * y) \ (x * x)) \ x) * x != z | x * T(y,y \ (x * x)) = z. [para(4762(a,2),541(a,1))]. given #6252 (H,wt=17): 6753 x * T(y,y \ (x * x)) = (y \ x) \ (x * x). [hyper(6416,a,6418,a)]. given #6253 (H,wt=24): 6437 (1 / x) * ((y / (1 / x)) * y) != z | x * ((y * (1 / x)) * y) = z. [para(6434(a,1),533(a,1))]. given #6254 (H,wt=24): 6537 K(L(x,y,z),(u * x) \ w) != v5 | K(L(x,y,z),u \ (x \ w)) = v5. [para(6322(a,1),6535(a,1))]. given #6255 (H,wt=24): 6555 (L(x,y,y) * (z * ((y \ 1) \ 1))) * (1 / y) = y * ((y \ x) * z). [para(2030(a,1),6492(a,2,2,1))]. given #6256 (H,wt=23): 6754 L(x,y,y) * (z * ((y \ 1) \ 1)) = L(x * (z / (y \ 1)),y,y). [hyper(30,a,3123,a,b,6555,a),flip(a)]. given #6257 (H,wt=24): 6595 (x * x) * (((1 / x) * y) * z) != u | x * ((y * (z * x)) / x) = u. [para(3252(a,1),3603(a,1))]. given #6258 (H,wt=24): 6657 (x * y) \ ((x * a(z,u,z)) * y) = R(T(a(z,u,z),x * y),x,y). [para(6640(a,1),546(a,1,2,1))]. given #6259 (H,wt=20): 6756 (x * y) \ ((x * a(z,u,z)) * y) = R(a(z,u,z),x,y). [para(6642(a,1),6657(a,2,1))]. given #6260 (H,wt=21): 6757 (x * y) \ ((T(z * x,z) / z) * y) = R(a(z,x,z),x,y). [para(6613(a,2),6756(a,1,2,1))]. given #6261 (H,wt=24): 6682 (x * (y * R(z,u,z))) / (x * (y * z)) = L(a(z,u,z),y * z,x). [para(6670(a,1),6653(a,1,1,2))]. given #6262 (H,wt=24): 6687 L(x,y,z) * K(u,x / L(x,y,z)) = T(L(x,y,z) \ x,u) \ x. [hyper(58,a,5306,a(flip),b,3942,a)]. given #6263 (H,wt=24): 6728 x \ (1 / (y * T(y,z))) != 1 / ((y * T(y,z)) / u) | u \ 1 = x. [para(6700(a,1),43(a,1)),flip(a)]. given #6264 (H,wt=24): 6733 R(K(x,T(T(y,z),z * u)),z,u) = (z * u) \ ((z * K(x,y)) * u). [para(5238(a,2),5318(a,1,1))]. given #6265 (H,wt=24): 6747 ((x * x) \ (L(y,z,z) \ 1)) \ 1 = z * (((x * (x * y)) \ z) \ 1). [para(4412(a,1),6136(a,1,1))]. given #6266 (H,wt=24): 6748 L(T(K(x,T(y,z * u)),u),u,z) = (z * (K(x,y) * u)) / (z * u). [para(5250(a,1),6211(a,1,1))]. given #6267 (H,wt=24): 6759 L(x,y,z) * K(u,L(x,y,z) \ x) = T(L(x,y,z) \ x,u) \ x. [para(2497(a,1),6687(a,1,2,2))]. given #6268 (H,wt=25): 2990 (1 / x) \ ((((x \ 1) \ 1) \ y) * z) = (y * (z / (1 / x))) * (1 / x). [para(2898(a,1),666(a,1,2,1,1))]. given #6269 (H,wt=25): 3021 (x * T(y,y \ 1)) * T(y,y \ 1) = T(y,y \ 1) * ((y \ 1) \ x). [hyper(1567,a,2956,a(flip))]. given #6270 (H,wt=20): 6763 T(x,x \ 1) * ((x \ 1) \ y) != z | (y * x) * x = z. [para(3021(a,1),3780(a,1))]. given #6271 (H,wt=25): 3047 x \ (T(a(x \ 1,y,z) \ 1,u) \ x) = T(L(x,z,y) \ x,u) \ 1. [para(2534(a,1),2999(a,1,1)),flip(a)]. given #6272 (H,wt=25): 3088 (R(T(x,y),z,u) * K(x,w)) * v5 = R(T(x,y),z,u) * (K(x,w) * v5). [para(2701(a,1),452(a,1,1,1)),flip(a)]. given #6273 (H,wt=25): 3215 ((T(x,y) * z) * u) / ((x * z) * u) != w | R(K(x,y),x * z,u) = w. [para(2750(a,1),457(a,1,1,1))]. given #6274 (H,wt=25): 3324 (x / (x * (x / y))) * ((x * (x / y)) \ 1) = (x * (x / y)) \ (y / x). [para(3309(a,1),2835(a,2,2))]. given #6275 (H,wt=23): 6765 ((x \ y) \ 1) * ((y * (y / x)) \ 1) = (y * (y / x)) \ (x / y). [para(3491(a,1),3324(a,1,1))]. given #6276 (H,wt=15): 6766 T(x / y,y * (y / x)) = (x \ y) \ 1. [hyper(30,a,676,a,b,6765,a)]. given #6277 (H,wt=25): 3433 x * ((y \ (y \ 1)) * (y \ (y \ 1))) = (x / (y * y)) * (y \ (y \ 1)). [para(3019(a,1),3370(a,1,1,2)),flip(a)]. given #6278 (H,wt=25): 3680 (x * (y * z)) \ (x * (y * T(z,u))) != w | L(K(z,u),y * z,x) = w. [para(3664(a,1),430(a,1,2,2))]. given #6279 (H,wt=25): 3742 x * (1 / y) != y * ((y \ z) * u) | L(z * (u / (y \ 1)),y,y) = x. [para(1164(a,1),3124(a,1)),flip(a)]. given #6280 (H,wt=25): 3760 (x * y) \ (y * (K(x,y) * (x * z))) = L(L(z,x,y),y * x,K(x,y)). [para(3182(a,1),2564(a,1,2))]. given #6281 (H,wt=23): 6768 L(L(x,y,z),z * y,K(y,z)) = (y * z) \ (z * (T(y,z) * x)). [para(2750(a,1),3760(a,1,2,2)),flip(a)]. given #6282 (H,wt=21): 6769 L(L(x,y,z),z * y,K(y,z)) != u | L(x,T(y,z),z) = u. [para(6768(a,2),732(a,1))]. given #6283 (H,wt=25): 3813 ((x * (x * T(y,z))) * K(y,z)) * y = T(y,z) * ((x * x) * T(y,z)). [hyper(58,a,3699,a,b,3430,a)]. given #6284 (H,wt=19): 6770 T(x,y) * ((z * z) * T(x,y)) = (x * (z * z)) * x. [para(5870(a,1),3813(a,1,1)),flip(a)]. given #6285 (H,wt=19): 6771 T(x,y) * ((z * z) * T(x,y)) = x * ((z * z) * x). [hyper(272,a,3437,a(flip),b,6770,a),flip(a)]. given #6286 (H,wt=17): 6773 T(x,y) * ((y * x) * y) = x * ((y * y) * x). [para(1159(a,1),6771(a,1,2))]. given #6287 (H,wt=23): 6774 (x * y) * ((y * y) * (x * y)) = y * ((x * (y * (x * y))) * y). [hyper(58,a,2815,a(flip),b,6773,a),flip(a)]. given #6288 (H,wt=25): 3966 K(x,y) * ((T(x,y) * T(x,y)) * z) = x * T(z * T(x,y),T(x,y)). [hyper(114,a,3254,a(flip),b,3908,a),flip(a)]. given #6289 (H,wt=23): 6775 K(x,y) * ((T(x,y) * T(x,y)) * z) = x * ((1 / T(x,y)) \ z). [hyper(272,a,2917,a(flip),b,3966,a),flip(a)]. given #6290 (H,wt=19): 6776 K(x,y) * ((x * x) * z) = x * ((1 / T(x,y)) \ z). [para(3155(a,1),6775(a,1,2,1))]. given #6291 (H,wt=17): 6777 K(x,y) * ((x * x) * z) = (x * T(x,y)) * z. [hyper(272,a,6196,a(flip),b,6776,a),flip(a)]. given #6292 (H,wt=17): 6779 K(x,y) * ((z * x) * x) = (x * T(x,y)) * z. [hyper(58,a,3280,a,b,6777,a)]. given #6293 (H,wt=17): 6780 (x * x) * (K(x,y) * z) = (x * T(x,y)) * z. [hyper(58,a,5846,a(flip),b,6779,a)]. given #6294 (H,wt=19): 6783 (x * T(x,y)) * (x * z) = (x * x) * (T(x,y) * z). [para(2750(a,1),6780(a,1,2)),flip(a)]. given #6295 (H,wt=25): 4047 ((x * y) \ (1 / (x * y))) * (y * y) = ((x * y) \ 1) * ((x / y) \ 1). [para(3442(a,1),3787(a,2,2))]. given #6296 (H,wt=25): 4102 L(x,y * (z * ((u \ w) \ 1)),v5) = L(x,y * (z * ((w \ 1) * u)),v5). [para(4021(a,1),2470(a,1,2,2,2))]. given #6297 (H,wt=25): 4135 ((1 / x) * (1 / y)) * (z * (y / (x \ 1))) = T(z,(1 / x) * (1 / y)). [para(4106(a,1),2843(a,2,2,2)),flip(a)]. given #6298 (H,wt=23): 6784 ((1 / x) * (1 / y)) * (z * (y / (x \ 1))) = T(z,(1 / x) / y). [hyper(272,a,6044,a(flip),b,4135,a),flip(a)]. given #6299 (H,wt=23): 6785 ((1 / x) * (1 / y)) * (z * (y / (x \ 1))) = T(z,x \ (y \ 1)). [hyper(272,a,4898,a(flip),b,6784,a),flip(a)]. given #6300 (H,wt=25): 4277 R(L(x,y,y),y \ 1,z) = (((y * (1 / x)) \ 1) * z) / ((y \ 1) * z). [para(4232(a,1),15(a,2,1,1))]. given #6301 (H,wt=25): 4320 (x \ y) * ((x \ 1) * K(z,x \ y)) = (x \ (y / x)) * K(z,x \ y). [para(684(a,1),4319(a,1,1)),flip(a)]. given #6302 (H,wt=23): 6787 (x \ (y / x)) * K(z,x \ y) = (x \ y) * (x \ K(z,x \ y)). [hyper(5618,a,4320,a),flip(a)]. given #6303 (H,wt=25): 4342 (x * (y * x)) \ (x * (x * T(y,x \ 1))) = K(x * x,T(y,x \ 1)). [para(3092(a,1),3026(a,1,1))]. given #6304 (H,wt=23): 6789 (x * (y * x)) \ (x * T(x * y,x)) = K(x * x,T(y,x \ 1)). [para(2771(a,1),4342(a,1,2,2))]. given #6305 (H,wt=21): 6790 (x * (y * x)) \ ((x * y) * x) = K(x * x,T(y,x \ 1)). [para(98(a,1),6789(a,1,2))]. given #6306 (H,wt=17): 6791 K(x * x,T(y,x \ 1)) != z | a(x,y,x) = z. [para(6790(a,1),588(a,1))]. given #6307 (H,wt=9): 6792 a(x,y,x) = a(x,x,y). [hyper(6791,a,5663,a)]. given #6308 (H,wt=9): 6793 a(x,y,y) = a(y,x,y). [hyper(272,a,4244,a,b,6792,a)]. given #6309 (H,wt=12): 6794 a(x,y,x) != z | a(y,x,x) = z. [para(6792(a,2),4254(a,1))]. given #6310 (H,wt=12): 6795 (x \ a(x,y,x)) * y = x \ y. [para(6792(a,2),5671(a,1,1,2))]. given #6311 (H,wt=15): 6796 (x \ y) * a(z,x,x) = L(x,z,x) \ y. [para(6793(a,2),6633(a,1,2))]. given #6312 (H,wt=15): 6798 a(x,y,y) * (y \ z) = L(y,x,y) \ z. [hyper(5604,a,6796,a)]. given #6313 (H,wt=25): 4357 T(x,y * T(y,z)) \ (y \ (T(y,z) \ 1)) = (y * T(y,z)) \ (x \ 1). [para(4048(a,1),4352(a,1,2))]. given #6314 (H,wt=25): 4395 (x * (y \ (y \ 1))) * (y \ (y \ 1)) = ((y \ (y \ 1)) \ (y * y)) \ x. [para(3019(a,1),4385(a,1,1,2)),flip(a)]. given #6315 (H,wt=23): 6799 (x * (y \ (y \ 1))) * (y \ (y \ 1)) = (((y * y) * y) * y) \ x. [para(4385(a,1),4395(a,2,1))]. given #6316 (H,wt=23): 6800 (x * (y \ (y \ 1))) * (y \ (y \ 1)) = (y * (y * (y * y))) \ x. [para(3279(a,1),6799(a,2,1))]. given #6317 (H,wt=21): 6801 (x \ (x \ y)) * (x \ (x \ 1)) = (x * (x * (x * x))) \ y. [para(4382(a,1),6800(a,1,1))]. given #6318 (H,wt=19): 6802 (x * (x * (x * x))) \ y = x \ (x \ (x \ (x \ y))). [hyper(4393,a,6801,a),flip(a)]. given #6319 (H,wt=25): 4511 (x * ((y * x) * x)) * ((x * (x * x)) \ 1) = T(y,(x * (x * x)) \ 1). [para(4508(a,1),378(a,1,1))]. given #6320 (H,wt=25): 4533 ((x * (y * (1 / x))) \ (1 / x)) * (1 / x) = (y / (1 / x)) \ (1 / x). [para(3575(a,1),3299(a,1,1,1))]. given #6321 (H,wt=25): 4552 T((1 / L(T(x,y),z,u)) * x,K(x,y)) = x * (L(T(x,y),z,u) \ 1). [para(2525(a,1),4551(a,2,2))]. given #6322 (H,wt=23): 6805 T(x / L(T(x,y),z,u),K(x,y)) = x * (L(T(x,y),z,u) \ 1). [para(371(a,1),4552(a,1,1))]. given #6323 (H,wt=23): 6806 x / T(L(T(x,y),z,u),K(x,y)) = x * (L(T(x,y),z,u) \ 1). [hyper(58,a,5849,a,b,6805,a)]. given #6324 (H,wt=23): 6807 x / L(T(T(x,y),K(x,y)),z,u) = x * (L(T(x,y),z,u) \ 1). [para(20(a,2),6806(a,1,2))]. given #6325 (H,wt=19): 6808 x * (L(T(x,y),z,u) \ 1) = x / L(T(x,y),z,u). [para(1896(a,1),6807(a,1,2,1)),flip(a)]. given #6326 (H,wt=17): 6809 x / L(T(x,y),z,u) = L(T(x,y),z,u) \ x. [hyper(711,a,6808,a),flip(a)]. given #6327 (H,wt=25): 4689 (x * x) * ((x * y) * ((1 / x) * y)) = (x * y) * T(x * y,x * x). [para(3353(a,1),4685(a,1,2,2))]. given #6328 (H,wt=23): 6811 (x * y) * T(x * y,x * x) = (x * x) * (x * ((y / x) * y)). [para(6528(a,1),4689(a,1,2)),flip(a)]. given #6329 (H,wt=21): 6812 (x * y) * T(x * y,x * x) = x * (y / (1 / (x * y))). [hyper(272,a,6564,a(flip),b,6811,a),flip(a)]. given #6330 (H,wt=25): 4699 (((x * y) \ x) * T((x * y) \ x,x)) * x = (y \ x) * ((x * y) \ x). [para(3299(a,1),4692(a,2,1))]. given #6331 (H,wt=23): 6814 (((x * y) \ x) * (x \ (y \ x))) * x = (y \ x) * ((x * y) \ x). [para(3241(a,1),4699(a,1,1,2))]. given #6332 (H,wt=21): 6815 (T(x,y) \ (y \ (y / x))) * y = (x \ y) * ((y * x) \ y). [para(6517(a,1),6814(a,1,1))]. given #6333 (H,wt=17): 6816 (T(x,y) \ (y \ (y / x))) * y = (x \ y) / x. [hyper(272,a,3783,a(flip),b,6815,a),flip(a)]. given #6334 (H,wt=25): 4706 x * (x * (y * ((1 / (x * x)) \ y))) = (y * (x * x)) * (y * (x * x)). [hyper(3012,a,4590,a)]. given #6335 (H,wt=23): 6818 (x * (y * y)) * (x * (y * y)) = y * (y * (x * ((x * y) * y))). [para(4394(a,1),4706(a,1,2,2,2)),flip(a)]. given #6336 (H,wt=23): 6819 ((x * x) * y) * ((x * x) * y) = x * (x * (y * ((y * x) * x))). [hyper(5768,a,6818,a)]. given #6337 (H,wt=23): 6820 ((x * x) * y) * ((y * x) * x) = x * (x * (y * ((y * x) * x))). [hyper(58,a,3280,a,b,6819,a)]. given #6338 (H,wt=25): 4720 ((x * y) * (x * ((x \ 1) \ y))) * x = ((x * y) * x) * ((x * y) * x). [para(725(a,1),4619(a,1,1,2))]. given #6339 (H,wt=25): 4795 (x * (y * ((z * (y \ (x \ u))) / z))) / u = K(z,((x * y) / u) \ 1). [para(1108(a,1),2729(a,1,1))]. given #6340 (H,wt=21): 6821 (x * (y * ((x \ z) / y))) / z = K(y,((x * y) / z) \ 1). [para(5(a,1),4795(a,1,1,2,2,1))]. given #6341 (H,wt=19): 6822 (x * (y * ((x \ z) / y))) / z = K(y,z / (x * y)). [hyper(272,a,4452,a(flip),b,6821,a),flip(a)]. given #6342 (H,wt=25): 4809 (x \ 1) * (((y / (1 / x)) / x) \ 1) = (x * (y * (1 / x))) \ (x \ 1). [para(3575(a,1),3055(a,1,1)),flip(a)]. given #6343 (H,wt=25): 4810 (x \ 1) * (((y * ((x \ 1) \ 1)) / x) \ 1) = (x * (y / x)) \ (x \ 1). [para(4742(a,1),3055(a,1,1)),flip(a)]. given #6344 (H,wt=23): 6825 (x \ 1) * ((y * K(x,x \ 1)) \ 1) = (x * (y / x)) \ (x \ 1). [para(3702(a,1),4810(a,1,2,1))]. given #6345 (H,wt=23): 6826 (x \ 1) * (K(x,x \ 1) * (y \ 1)) = (x * (y / x)) \ (x \ 1). [para(5639(a,1),6825(a,1,2))]. given #6346 (H,wt=17): 6827 (x * (y / x)) \ (x \ 1) = (1 / x) * (y \ 1). [hyper(58,a,3157,a(flip),b,6826,a),flip(a)]. given #6347 (H,wt=25): 5008 (1 / x) * ((y * (1 / x)) * (1 / x)) = ((1 / x) * (x \ (1 / x))) * y. [para(5005(a,1),4508(a,1,1)),flip(a)]. given #6348 (H,wt=23): 6828 (1 / x) * ((y * (1 / x)) * (1 / x)) = ((x \ (x \ 1)) / x) * y. [para(4542(a,1),5008(a,2,1))]. given #6349 (H,wt=23): 6829 T((x * (1 / y)) * (1 / y),y) = (((y \ (y \ 1)) / y) * x) * y. [para(6828(a,1),365(a,2,1))]. given #6350 (H,wt=23): 6830 T((x * (1 / y)) * (1 / y),y) = ((y \ (y \ (y \ 1))) * x) * y. [para(3532(a,1),6829(a,2,1,1))]. given #6351 (H,wt=21): 6831 ((x \ (x \ (x \ 1))) * y) * x = (x \ 1) * (y * (1 / x)). [hyper(3414,a,6830,a),flip(a)]. given #6352 (H,wt=17): 6832 (x \ (x \ (x \ 1))) * y = x \ (x \ (x \ y)). [hyper(30,a,4831,a,b,6831,a),flip(a)]. given #6353 (H,wt=25): 5022 (T(x,y) \ 1) * T(T(x,y) \ 1,y) = y \ ((T(x,y) \ 1) * (x \ y)). [para(3006(a,1),5012(a,1,2,2)),flip(a)]. given #6354 (H,wt=21): 6833 (T(x,y) \ 1) * T(T(x,y) \ 1,y) = y \ (x \ (y / x)). [para(4581(a,1),5022(a,2,2))]. given #6355 (H,wt=17): 6834 T(x,y) \ (y \ (y / x)) = y \ (x \ (y / x)). [hyper(58,a,3230,a(flip),b,6833,a)]. given #6356 (H,wt=15): 6835 (x \ (y \ (x / y))) * x = (y \ x) / y. [para(6834(a,1),6816(a,1,1))]. given #6357 (H,wt=15): 6836 x * ((y \ (x / y)) / x) = (y \ x) / y. [hyper(2947,a,6835,a)]. given #6358 (H,wt=25): 5024 (x / y) * T(x / y,y * (y / x)) = (y * (y / x)) \ ((x / y) * y). [para(3323(a,1),5012(a,1,2,2)),flip(a)]. given #6359 (H,wt=21): 6837 (x / y) * T(x / y,y * (y / x)) = (y * (y / x)) \ x. [para(7(a,1),5024(a,2,2))]. given #6360 (H,wt=17): 6838 (x / y) * ((x \ y) \ 1) = (y * (y / x)) \ x. [para(6766(a,1),6837(a,1,2))]. given #6361 (H,wt=15): 6839 (x * (x / y)) \ y = (x / y) \ (x \ y). [hyper(58,a,5850,a(flip),b,6838,a),flip(a)]. given #6362 (H,wt=19): 6840 (x / (y \ x)) \ (x \ (y \ x)) = (x * y) \ (y \ x). [para(72(a,1),6839(a,1,1,2)),flip(a)]. given #6363 (H,wt=15): 6841 (x * y) \ (y \ x) = y \ (x \ (y \ x)). [para(72(a,1),6840(a,1,1)),flip(a)]. given #6364 (H,wt=25): 5070 (x * T(x,y)) * T(z,(x * (y * x)) \ y) = z / ((x * T(x,y)) \ 1). [hyper(114,a,5020,a(flip),b,2928,a)]. given #6365 (H,wt=25): 5074 x * (((y \ x) * (y \ z)) / (y \ 1)) = z * (((y \ x) * (y \ x)) * y). [hyper(1168,a,5041,a)]. given #6366 (H,wt=25): 5520 T(x * T(K(y,z),u),K(u,K(y,z))) = K(y,K(z,u)) * (x * K(y,z)). [para(5502(a,1),3974(a,2,1))]. given #6367 (H,wt=25): 5679 (x \ (y * (x * (x * K(z,u))))) / x = ((1 / x) * y) * (K(z,u) * x). [para(5605(a,1),749(a,1,1,2,2))]. given #6368 (H,wt=25): 5749 x / T(1 / a(x \ 1,y,z),u) = T(a(x \ 1,y,z) \ 1,u) \ x. [para(2513(a,1),5480(a,1,2,1,2))]. given #6369 (H,wt=25): 5845 (x \ 1) / (x \ K(x,(y * (x \ z)) \ u)) = K((y * (z / x)) \ u,x). [para(5819(a,1),3422(a,1,2,2))]. given #6370 (H,wt=22): 6846 K((x * (y / z)) \ u,z) != w | K((x * (z \ y)) \ u,z) = w. [para(5845(a,1),3423(a,1))]. given #6371 (H,wt=25): 5923 x \ ((x * y) * ((x \ 1) * (x \ 1))) = ((x * x) \ (y / x)) / (x \ 1). [hyper(272,a,4054,a,b,5894,a),flip(a)]. given #6372 (H,wt=21): 6847 x * (((y \ 1) * (y \ 1)) * (y \ 1)) = (y * y) \ (x / y). [hyper(32,a,3284,a,b,5923,a(flip))]. given #6373 (H,wt=19): 6848 x * ((y \ (1 / y)) * (y \ 1)) = (y * y) \ (x / y). [para(684(a,1),6847(a,1,2,1))]. given #6374 (H,wt=17): 6849 x * (y \ ((1 / y) / y)) = (y * y) \ (x / y). [para(684(a,1),6848(a,1,2))]. given #6375 (H,wt=17): 6850 x * (y \ (y \ (y \ 1))) = (y * y) \ (x / y). [para(3132(a,1),6849(a,1,2,2))]. given #6376 (H,wt=25): 5954 x * L(L(L(x,y,y) \ 1,z,u),y,y) = L(a(L(x,y,y),u,z),y,y). [para(1178(a,2),5943(a,1,1)),flip(a)]. given #6377 (H,wt=25): 6061 T(x * L(L(y,z,u),w,v5),T(y,x)) = T(x * L(L(y,z,u),w,v5),y). [para(197(a,1),6017(a,1,2)),flip(a)]. given #6378 (H,wt=25): 6152 x \ ((x * y) * L(z,x,x)) != u | (x \ 1) * (((x \ 1) \ y) * z) = u. [para(5944(a,1),3130(a,1,2))]. given #6379 (H,wt=25): 6172 T(T(x,y * (y * z)),K(u,y * (y * z))) = T(x,T((y * y) * z,u)). [hyper(272,a,5485,a,b,6121,a)]. given #6380 (H,wt=22): 6851 T(x,T((y * y) * z,u)) != w | T(x,T(y * (y * z),u)) = w. [para(6172(a,1),5497(a,1))]. given #6381 (H,wt=25): 6187 L(x,L(T(y,z),u,w),T(L(y,u,w),z)) = L(x,L(y,u,w),L(y,u,w)). [para(20(a,2),6180(a,1,2))]. given #6382 (H,wt=25): 6188 L(x,R(T(y,z),u,w),T(R(y,u,w),z)) = L(x,R(y,u,w),R(y,u,w)). [para(22(a,2),6180(a,1,2))]. given #6383 (H,wt=25): 6212 K(R(x,y,R(x,z,u)),T(w,y * R(x,z,u))) != v5 | K(x,T(w,y)) = v5. [para(5270(a,2),5338(a,1))]. given #6384 (H,wt=25): 6216 x \ R(x,y,L(x,z,u)) != w | K(x,y) * K(y * L(x,z,u),x) = w. [para(6175(a,1),1495(a,1))]. given #6385 (H,wt=25): 6232 ((x \ y) \ 1) * ((x \ y) \ K(z,y \ x)) = (y \ x) * T(y \ x,z). [hyper(272,a,3659,a(flip),b,6226,a),flip(a)]. given #6386 (H,wt=23): 6854 ((x \ y) \ 1) * T((x \ y) \ 1,z) = (y \ x) * T(y \ x,z). [para(4436(a,1),6232(a,1,2))]. given #6387 (H,wt=21): 6855 (x \ y) \ T(1 / (x \ y),z) = (y \ x) * T(y \ x,z). [hyper(58,a,756,a(flip),b,6854,a)]. given #6388 (H,wt=17): 6857 (x \ y) * T(x \ y,y) = (y \ x) \ (y / x). [para(3030(a,1),6855(a,1,2)),flip(a)]. given #6389 (H,wt=19): 6858 (x \ y) * (y * (x \ y)) = y * ((y \ x) \ (y / x)). [hyper(114,a,6857,a(flip),b,5012,a),flip(a)]. given #6390 (H,wt=21): 6856 (x \ y) * T(x \ y,y \ x) = (y \ x) \ ((y \ x) \ 1). [para(100(a,1),6855(a,1,2)),flip(a)]. given #6391 (H,wt=19): 6860 (x \ y) * T(x \ y,y \ x) = x \ ((x / y) \ y). [hyper(111,a,4990,a(flip),b,6856,a),flip(a)]. given #6392 (H,wt=19): 6861 (x \ y) * (T(y,y \ x) / x) = x \ ((x / y) \ y). [para(5714(a,2),6860(a,1,2))]. given #6393 (H,wt=22): 6859 (x \ y) * (y * (x \ y)) != y * z | (y \ x) \ (y / x) = z. [para(6858(a,2),38(a,1))]. given #6394 (H,wt=25): 6369 (x * K(y,z)) * R(K(z,u),w,v5) = x * (K(y,z) * R(K(z,u),w,v5)). [para(6366(a,1),362(a,1,2,1))]. given #6395 (H,wt=25): 6379 (x * L(K(y,z),u,w)) * K(z,v5) = x * (L(K(y,z),u,w) * K(z,v5)). [para(6378(a,1),93(a,1,1)),flip(a)]. given #6396 (H,wt=25): 6444 (x \ (x \ 1)) \ (((x * x) \ y) * z) = x * (((x \ y) * (z * x)) / x). [hyper(58,a,4378,a,b,5158,a)]. given #6397 (H,wt=25): 6481 ((1 / x) \ (x \ ((x * y) * z))) * 1 = x * ((y * (z * (1 / x))) * x). [para(6477(a,1),108(a,1,2,1)),flip(a)]. given #6398 (H,wt=24): 6865 ((1 / x) \ (x \ ((x * y) * z))) * 1 = ((1 / x) \ y) * L(z,x,x). [hyper(272,a,2022,a(flip),b,6481,a),flip(a)]. given #6399 (H,wt=24): 6866 (x * ((1 / x) * ((x * y) * z))) * 1 = ((1 / x) \ y) * L(z,x,x). [para(3122(a,1),6865(a,1,1))]. given #6400 (H,wt=22): 6867 x * ((1 / x) * ((x * y) * z)) = ((1 / x) \ y) * L(z,x,x). [hyper(120,a,6866,a)]. given #6401 (H,wt=19): 6868 (x * (y * (1 / z))) * z = (1 / z) * ((z * x) * y). [hyper(29,a,2022,a,b,6867,a)]. given #6402 (H,wt=20): 6870 (1 / x) * ((x * y) * L(z,x,x)) = (y * (z / x)) * x. [para(2972(a,1),6868(a,1,1,2)),flip(a)]. given #6403 (H,wt=23): 6869 ((1 / x) * ((x * y) * z)) / L(z,x,x) = R(y,z * (1 / x),x). [para(6868(a,1),2021(a,1,1))]. given #6404 (H,wt=25): 6533 x * (x * ((x \ 1) \ ((y / x) * y))) = (x * x) * ((x \ y) * (x * y)). [para(6530(a,2),3108(a,2,2))]. given #6405 (H,wt=25): 6534 (x \ ((y \ (x * z)) * y)) * u = (z * K((x \ 1) \ (y \ z),y)) * u. [para(2547(a,1),6339(a,2,1)),flip(a)]. given #6406 (H,wt=21): 6872 (x * K((y \ 1) \ (z \ x),z)) * y = (z \ (x * y)) * z. [hyper(2551,a,6534,a),flip(a)]. given #6407 (H,wt=19): 6873 (x * K(y * (z \ x),z)) * y = (z \ (x * y)) * z. [para(5719(a,1),6872(a,1,1,2))]. given #6408 (H,wt=19): 6874 (x * K((y \ z) \ x,z)) * y = (z \ (x * y)) * z. [para(6450(a,1),6872(a,1,1,2))]. given #6409 (H,wt=23): 6875 (x \ (y * z)) * K(x * (y \ (x \ (y * z))),y) = x \ (z * y). [hyper(30,a,2550,a(flip),b,6873,a),flip(a)]. given #6410 (H,wt=15): 6876 K(x,y \ (z * x)) = K(x,y \ (x * z)). [para(6875(a,1),5375(a,1,2))]. given #6411 (H,wt=15): 6877 K(x,(x \ y) \ z) = K(x,y \ (z * x)). [hyper(272,a,6294,a,b,6876,a)]. given #6412 (H,wt=15): 6878 K(x,y \ (((x \ y) * z) * x)) = K(x,z). [para(4(a,1),6877(a,1,2)),flip(a)]. given #6413 (H,wt=25): 6556 K(x,(y * (z * ((u \ 1) \ 1))) / u) = K(x,u * (((u \ 1) * y) * z)). [para(6492(a,1),6072(a,1,2)),flip(a)]. given #6414 (H,wt=25): 6570 (x \ y) * ((((y \ x) * z) * u) * (x \ y)) = z * (u * ((y \ x) \ 1)). [hyper(29,a,1133,a,b,6566,a),flip(a)]. given #6415 (H,wt=25): 6660 (x * y) / L(a(z,u,z),a(z,u,z) \ y,x) = x * (a(z,u,z) \ y). [para(6647(a,1),420(a,1,2,1))]. given #6416 (H,wt=25): 6676 K(x * y,x) * (K(x,y) * z) != u * w | u \ (z * a(x,y,x)) = w. [para(6637(a,1),3903(a,1,2))]. given #6417 (H,wt=25): 6686 R(x * a(y,x,y),z,u) != R(x,z,u) * w | a(y,R(x,z,u),y) = w. [para(6685(a,1),38(a,1))]. given #6418 (H,wt=25): 6725 ((1 / x) * ((y \ (1 / x)) / y)) / x = x \ (x \ (y \ ((1 / x) / y))). [para(6721(a,1),3534(a,1,1))]. given #6419 (H,wt=25): 6729 T(x * (y * ((1 / x) * y)),x) = ((y / (x \ 1)) / (1 / y)) * (1 / x). [hyper(272,a,6439,a,b,6720,a),flip(a)]. given #6420 (H,wt=25): 6736 K(R(x \ y,z,u),w \ (y / x)) = K(R(x \ y,z,u),w \ (x \ y)). [para(5704(a,1),6735(a,1,2))]. given #6421 (H,wt=25): 6740 T(x,L((y \ z) \ z,u,w)) = (v5 * K(L(y,u,w),T(x,z))) \ (v5 * x). [para(6738(a,1),3980(a,1,1,2)),flip(a)]. given #6422 (H,wt=19): 6883 T(x,L((y \ z) \ z,u,w)) = T(x,T(L(y,u,w),z)). [hyper(272,a,5279,a(flip),b,6740,a),flip(a)]. given #6423 (H,wt=19): 6884 T(x,L((y \ z) \ z,u,w)) = T(x,L(T(y,z),u,w)). [para(20(a,2),6883(a,2,2))]. given #6424 (H,wt=19): 6885 T(x,L(T(y,y \ z),u,w)) = T(x,L(T(y,z),u,w)). [para(99(a,2),6884(a,1,2,1))]. given #6425 (H,wt=25): 6760 x * (((y * (y * z)) \ x) \ 1) != u | (L(z,x,x) \ 1) \ (y * y) = u. [para(6747(a,1),3435(a,1))]. given #6426 (H,wt=25): 6762 (1 / x) \ ((T(y,x) * (1 / x)) * z) = (y * (z / (1 / x))) * (1 / x). [para(4279(a,1),2990(a,1,2,1))]. given #6427 (H,wt=25): 6764 (K(x,y) * R(T(x,z),u,w)) * v5 = R(T(x,z),u,w) * (K(x,y) * v5). [hyper(58,a,1907,a(flip),b,3088,a)]. given #6428 (H,wt=25): 6767 x * ((y \ (y \ 1)) * (y \ (y \ 1))) = (y \ (y \ x)) * (y \ (y \ 1)). [para(3009(a,1),3433(a,2,1))]. given #6429 (H,wt=23): 6888 x * ((y \ (y \ 1)) * (y \ (y \ 1))) = y \ (y \ (y \ (y \ x))). [hyper(272,a,4382,a(flip),b,6767,a),flip(a)]. given #6430 (H,wt=21): 6889 x * (y \ (y \ (y \ (y \ 1)))) = y \ (y \ (y \ (y \ x))). [para(4382(a,1),6888(a,1,2))]. given #6431 (H,wt=25): 6786 L(R(x,y \ 1,z),y,y) = (((y * (1 / x)) \ 1) * z) / ((y \ 1) * z). [hyper(58,a,24,a(flip),b,4277,a)]. given #6432 (H,wt=25): 6803 (x * ((y * x) * x)) * ((x * (x * x)) \ 1) = T(y,x \ (x \ (1 / x))). [hyper(272,a,6101,a(flip),b,4511,a),flip(a)]. given #6433 (H,wt=25): 6804 ((x * (y * (1 / x))) \ (x \ 1)) * (x \ 1) = (y / (1 / x)) \ (1 / x). [hyper(58,a,5202,a(flip),b,4533,a)]. given #6434 (H,wt=25): 6813 (x * x) * (x * (y / (1 / (x * y)))) = (x * y) * ((x * x) * (x * y)). [hyper(114,a,6812,a(flip),b,5012,a)]. given #6435 (H,wt=25): 6817 x * (x * (y * ((1 / (x * x)) \ y))) = (x * (x * y)) * (y * (x * x)). [para(2956(a,1),4706(a,2,1))]. given #6436 (H,wt=25): 6824 (x \ 1) * ((x * ((1 / x) * y)) \ 1) = (x * (y * (1 / x))) \ (x \ 1). [para(4111(a,1),4809(a,1,2,1))]. given #6437 (H,wt=25): 6843 (x * T(x,y)) * T(z,(x * (y * x)) \ y) = z / (x \ (T(x,y) \ 1)). [para(4048(a,1),5070(a,2,2))]. given #6438 (H,wt=25): 6844 T(x * K(y,T(z,u)),K(u,K(y,z))) = K(y,K(z,u)) * (x * K(y,z)). [para(5238(a,2),5520(a,1,1,2))]. given #6439 (H,wt=25): 6852 L(x,L(T(y,z),u,w),L(T(y,z),u,w)) = L(x,L(y,u,w),L(y,u,w)). [para(20(a,2),6187(a,1,3))]. given #6440 (H,wt=25): 6853 L(x,R(T(y,z),u,w),R(T(y,z),u,w)) = L(x,R(y,u,w),R(y,u,w)). [para(22(a,2),6188(a,1,3))]. given #6441 (H,wt=25): 6863 (x * K(y,z)) * (K(z,y) * R(K(y,u),w,v5)) = x * R(K(y,u),w,v5). [para(3912(a,1),6369(a,1,1)),flip(a)]. given #6442 (H,wt=25): 6871 (x * (((y * x) \ 1) * (1 / x))) * x = (1 / x) * ((y * (x \ 1)) \ 1). [para(5036(a,1),6868(a,2,2))]. given #6443 (H,wt=23): 6894 (1 / x) * ((y * (x \ 1)) \ 1) = (x * (x \ (y \ (x \ 1)))) * x. [para(4936(a,1),6871(a,1,1,2)),flip(a)]. given #6444 (H,wt=19): 6895 (1 / x) * ((y * (x \ 1)) \ 1) = (y \ (x \ 1)) * x. [hyper(272,a,136,a(flip),b,6894,a),flip(a)]. given #6445 (H,wt=19): 6897 (1 / x) * ((y * (x \ 1)) \ 1) = (y \ x) * (1 / x). [hyper(272,a,4365,a(flip),b,6895,a),flip(a)]. given #6446 (H,wt=25): 6879 K(x \ 1,x * (((x \ 1) * y) * z)) = K(x,y * (z * ((x \ 1) \ 1))). [hyper(58,a,3394,a(flip),b,6556,a),flip(a)]. given #6447 (H,wt=21): 6898 K(x \ 1,x * (((x \ 1) * y) * z)) = K(x,y * (z * x)). [hyper(272,a,2432,a(flip),b,6879,a),flip(a)]. given #6448 (H,wt=25): 6886 (x \ 1) \ ((T(y,x) * (x \ 1)) * z) = (y * (z / (1 / x))) * (1 / x). [hyper(58,a,2172,a(flip),b,6762,a)]. given #6449 (H,wt=21): 6899 (x * (y / (1 / z))) * (1 / z) = (z \ 1) \ ((z \ x) * y). [para(676(a,1),6886(a,1,2,1)),flip(a)]. given #6450 (H,wt=25): 6890 (x * ((y * x) * x)) * ((x * (x * x)) \ 1) = T(y,x \ (x \ (x \ 1))). [hyper(272,a,4856,a(flip),b,6803,a),flip(a)]. given #6451 (H,wt=25): 6891 x * (x * (y * ((1 / (x * x)) \ y))) = (x * (x * y)) * (x * (x * y)). [para(2956(a,1),6817(a,2,2))]. given #6452 (H,wt=23): 6902 (x * (x * y)) * (x * (x * y)) = x * (x * (y * ((y * x) * x))). [para(4394(a,1),6891(a,1,2,2,2)),flip(a)]. given #6453 (H,wt=23): 6903 ((x * y) * x) * ((x * y) * x) = x * (x * (y * ((y * x) * x))). [hyper(5768,a,6902,a)]. given #6454 (H,wt=25): 6892 (x \ 1) * (x * ((1 / x) * (y \ 1))) = (x * (y * (1 / x))) \ (x \ 1). [para(6443(a,1),6824(a,1,2))]. given #6455 (H,wt=25): 6901 (x * ((y * x) * x)) * ((x * x) \ (x \ 1)) = T(y,x \ (x \ (x \ 1))). [para(4411(a,1),6890(a,1,2))]. given #6456 (H,wt=25): 6906 x * ((1 / x) * ((1 / x) * (y \ 1))) = (x * (y * (1 / x))) \ (x \ 1). [hyper(58,a,3556,a(flip),b,6892,a)]. given #6457 (H,wt=23): 6907 (x * (y * (1 / x))) \ (x \ 1) = x * (y \ ((x \ 1) * (x \ 1))). [para(4144(a,1),6906(a,1,2)),flip(a)]. given #6458 (H,wt=21): 6908 (x * (y * (1 / x))) \ (x \ 1) = x * (y \ (x \ (1 / x))). [para(684(a,1),6907(a,2,2,2))]. given #6459 (H,wt=23): 6909 (x * (y \ (x \ (1 / x)))) * (x \ 1) = (y / (1 / x)) \ (1 / x). [para(6908(a,1),6804(a,1,1))]. given #6460 (H,wt=21): 6910 T(x \ (y \ (1 / y)),y \ 1) = (x / (1 / y)) \ (1 / y). [hyper(58,a,378,a(flip),b,6909,a)]. given #6461 (H,wt=17): 6911 (x / (1 / y)) \ (1 / y) = y \ ((y * x) \ 1). [hyper(58,a,5882,a(flip),b,6910,a),flip(a)]. given #6462 (H,wt=26): 3489 T(L(x,y,z) \ x,(x \ L(x,y,z)) * u) = 1 / T(x \ L(x,y,z),u). [para(2538(a,1),3465(a,1,1))]. given #6463 (H,wt=26): 3543 ((x * y) * R(z,x,y)) * R(z,x,y) = (R(z,x,y) \ 1) \ ((z * x) * y). [para(93(a,1),3503(a,1,2)),flip(a)]. given #6464 (H,wt=26): 3935 (x * y) \ ((x * (y * K(z,u))) * K(u,z)) = a(x,y * K(z,u),K(u,z)). [para(3912(a,1),9(a,2,1,2)),flip(a)]. given #6465 (H,wt=26): 3936 (x * y) * a(x,y * K(z,u),K(u,z)) = (x * (y * K(z,u))) * K(u,z). [para(3912(a,1),79(a,1,1,2))]. given #6466 (H,wt=26): 4109 T(x,y * T(y,z)) * (y \ (T(y,z) \ 1)) != u | (y * T(y,z)) \ x = u. [para(4048(a,1),690(a,1,2))]. given #6467 (H,wt=26): 4140 R(x,y / z,y / z) * ((z \ y) * (z \ y)) = (x * (y / z)) * (y / z). [hyper(114,a,4115,a(flip),b,166,a)]. given #6468 (H,wt=26): 4321 L(L(x,y,z) * K(u,L(x,y,z)),w,v5) * u = u * L(L(x,w,v5),y,z). [para(25(a,1),2762(a,2,2))]. given #6469 (H,wt=23): 6913 L(L(x * K(y,x),z,u),w,v5) * y = y * L(L(x,w,v5),z,u). [para(3650(a,1),4321(a,1,1,1))]. given #6470 (H,wt=26): 4582 ((x \ y) * (x \ y)) \ (x \ (y / x)) != z | (y \ (x \ y)) / (x \ y) = z. [para(4580(a,1),3273(a,1,2))]. given #6471 (H,wt=26): 4770 K(x,x \ 1) * T(K(x \ 1,x) * y,z) != u * w | u \ T(y,z) = w. [para(2176(a,2),3903(a,1,2))]. given #6472 (H,wt=26): 4772 x \ y != K(z \ 1,z) * T(u,w) | x * T(K(z \ 1,z) * u,w) = y. [para(2177(a,1),3904(a,2,2))]. given #6473 (H,wt=26): 4879 (x \ y) * ((x \ y) * L(z,x \ y,x \ y)) = (z * (y / x)) * (y / x). [hyper(2974,a,4143,a)]. given #6474 (H,wt=26): 4949 (x \ 1) \ a(x \ 1,y,z) != u * w | ((L(x,z,y) \ 1) \ 1) / w = u. [para(4427(a,1),499(a,1,2))]. given #6475 (H,wt=26): 4955 (x / y) * (((y \ x) * (y \ 1)) \ 1) = (L(y,x / y,x / y) \ 1) \ 1. [para(684(a,2),4950(a,2,2,1)),flip(a)]. given #6476 (H,wt=26): 5209 x * (y * (x \ (1 / x))) != z * u | z \ ((x * y) * (x \ (1 / x))) = u. [para(5207(a,1),341(a,1,2))]. given #6477 (H,wt=26): 5645 L(x,y \ K(z,u),y \ K(z,u)) * (K(z,u) * y) = x / (y \ K(z,u)). [para(5631(a,1),2972(a,1,2))]. given #6478 (H,wt=26): 5673 ((x * (y * y)) * K(z,u)) / (y * (y * K(z,u))) = R(x,y * y,K(z,u)). [para(5588(a,1),15(a,2,2)),flip(a)]. given #6479 (H,wt=26): 5674 (x * (x * K(y,z))) * L(u,K(y,z),x * x) = (x * x) * (K(y,z) * u). [para(5588(a,1),87(a,1,1))]. given #6480 (H,wt=26): 5680 x * ((x \ y) * L(K(z,u) * x,x,x)) = (y * (x * (x * K(z,u)))) / x. [para(5605(a,1),2027(a,2,1,2))]. given #6481 (H,wt=25): 6916 x * ((x \ y) * (K(z,u) / (1 / x))) = (y * (x * (x * K(z,u)))) / x. [para(2966(a,1),5680(a,1,2,2))]. given #6482 (H,wt=25): 6917 x * ((x \ y) * ((x \ K(z,u)) \ 1)) = (y * (x * (x * K(z,u)))) / x. [para(5635(a,1),6916(a,1,2,2))]. given #6483 (H,wt=26): 5851 K(T(x,y),L((y \ 1) * z,u,w)) != v5 | K(x,L(z * (1 / y),u,w)) = v5. [para(3127(a,1),5345(a,1,2,1))]. given #6484 (H,wt=26): 6045 T(L(x,y,y) \ 1,T(z,L(x,y,y))) = (L(x,y,y) \ 1) * K(z,x \ 1). [para(5975(a,1),5392(a,1,2)),flip(a)]. given #6485 (H,wt=24): 6918 T(L(x,y,y) \ 1,T(z,L(x,y,y))) = L(x,y,y) \ K(z,x \ 1). [hyper(272,a,5586,a(flip),b,6045,a),flip(a)]. given #6486 (H,wt=21): 6919 T(L(x,y,y) \ 1,T(z,x)) = L(x,y,y) \ K(z,x \ 1). [para(5976(a,1),6918(a,1,2))]. given #6487 (H,wt=21): 6920 L(T(x \ 1,T(y,x)),z,z) = L(x,z,z) \ K(y,x \ 1). [hyper(58,a,3803,a,b,6919,a)]. given #6488 (H,wt=19): 6922 L(x,y,y) \ K(z,x \ 1) = L(T(x \ 1,z),y,y). [para(5369(a,1),6920(a,1,1)),flip(a)]. given #6489 (H,wt=26): 6106 T(x,T(y,T(z,u)) / (u * (z / u))) != w | T(x,(u * (z / u)) \ y) = w. [para(6029(a,1),6007(a,1,2,1))]. given #6490 (H,wt=26): 6236 x \ ((x * y) * (z * z)) != u / (x \ 1) | y * (((x \ 1) * z) * z) = u. [para(3284(a,1),41(a,1))]. given #6491 (H,wt=26): 6380 (x * y) \ ((x * (y * K(z,u))) * K(u,w)) = L(K(z,u),y,x) * K(u,w). [para(6378(a,1),470(a,1,1))]. given #6492 (H,wt=21): 6923 a(x,y * K(z,u),K(u,z)) = L(K(z,u),y,x) * K(u,z). [hyper(58,a,3935,a(flip),b,6380,a)]. given #6493 (H,wt=21): 6924 a(x,y * K(z,u),K(u,z)) = K(u,z) * L(K(z,u),y,x). [hyper(272,a,1496,a(flip),b,6923,a),flip(a)]. given #6494 (H,wt=21): 6925 K(x,y) * L(K(y,x),z * K(x,y),u) = a(u,z,K(x,y)). [para(3912(a,1),6924(a,1,2)),flip(a)]. given #6495 (H,wt=17): 6926 K(x,y) * L(K(y,x),z,u) = a(u,z,K(x,y)). [para(6371(a,1),6925(a,1,2))]. given #6496 (H,wt=17): 6927 K(x,y) * a(z,u,K(y,x)) = L(K(x,y),u,z). [hyper(3894,a,6926,a)]. given #6497 (H,wt=17): 6928 L(K(x,y),z,u) * K(y,x) = a(u,z,K(y,x)). [hyper(1497,a,6926,a)]. given #6498 (H,wt=19): 6929 K(x,y) * K(L(y,z,u),x) = a(u,z * y,K(x,y)). [para(6278(a,1),6926(a,1,2))]. given #6499 (H,wt=21): 6931 (x * L(K(y,z),u,w)) * K(z,y) = x * a(w,u,K(z,y)). [para(6928(a,1),6379(a,2,2))]. given #6500 (H,wt=26): 6394 ((x * T(x,y)) \ z) \ 1 != (z \ 1) * u | (x \ (T(x,y) \ 1)) \ 1 = u. [para(4110(a,1),38(a,1))]. given #6501 (H,wt=26): 6406 (x * (y * K(z,u))) * K(z,u) != w | K(z,u) * ((K(z,u) * x) * y) = w. [para(6403(a,1),2808(a,1,1))]. given #6502 (H,wt=26): 6428 T(x,y) != T((1 / (1 / y)) * z,y) \ y | (y * ((1 / y) * z)) \ 1 = x. [para(4849(a,1),44(a,1)),flip(a)]. given #6503 (H,wt=26): 6471 (x \ (1 / y)) * (x \ (1 / y)) != z | (x \ (y \ 1)) * (x \ (y \ 1)) = z. [para(5836(a,1),4117(a,1))]. given #6504 (H,wt=26): 6493 (((((x \ 1) \ 1) \ y) * z) / x) / (1 / x) = ((x \ 1) * y) * L(z,x,x). [hyper(58,a,3105,a,b,5948,a)]. given #6505 (H,wt=26): 6511 T(x,T(((1 / y) \ z) * u,y)) != w | T(x,y * (y * (z * (u / y)))) = w. [para(6041(a,2),6102(a,1))]. given #6506 (H,wt=26): 6516 T((x * y) * K(z,x * y),K(z,y)) != (x * y) * u | K(z,y * x) = u. [para(6170(a,2),38(a,1))]. given #6507 (H,wt=26): 6616 L(L(x,y,L(x,z,u)),z,u) \ L(x,z,u) = a(L(x,z,u),y,L(x,z,u)). [para(25(a,1),6607(a,1,1))]. given #6508 (H,wt=26): 6639 K(x * y,x) * (K(x,y) * z) != a(x,y,x) * u | T(z,a(x,y,x)) = u. [para(6623(a,2),216(a,2)),flip(a)]. given #6509 (H,wt=26): 6674 K(x,x * y) * ((L(y,z,u) * x) * a(x,y,x)) = L(y,z,u) * T(x,y). [hyper(272,a,5449,a(flip),b,6637,a),flip(a)]. given #6510 (H,wt=24): 6934 K(x,x * y) * (L(y,z,u) * R(x,y,x)) = L(y,z,u) * T(x,y). [para(6670(a,1),6674(a,1,2))]. given #6511 (H,wt=26): 6675 K(x,x * y) * ((R(y,z,u) * x) * a(x,y,x)) = R(y,z,u) * T(x,y). [hyper(272,a,3758,a(flip),b,6637,a),flip(a)]. given #6512 (H,wt=24): 6935 K(x,x * y) * (R(y,z,u) * R(x,y,x)) = R(y,z,u) * T(x,y). [para(6670(a,1),6675(a,1,2))]. given #6513 (H,wt=26): 6745 K(x,L(L(y,z,y * K(z,y)),u,w)) = K(x,L(T(y * K(z,y),z),u,w)). [para(2763(a,1),6744(a,1,2,1))]. given #6514 (H,wt=20): 6936 K(x,L(L(y,z,y * K(z,y)),u,w)) = K(x,L(y,u,w)). [para(2685(a,1),6745(a,2,2,1))]. given #6515 (H,wt=16): 6937 K(x,L(L(y,z,y),u,w)) = K(x,L(y,u,w)). [para(2720(a,1),6936(a,1,2,1))]. given #6516 (H,wt=16): 6938 K(x,L(R(y,z,y),u,w)) = K(x,L(y,u,w)). [para(2382(a,1),6937(a,1,2,1)),flip(a)]. given #6517 (H,wt=26): 6755 (x \ 1) \ (x \ (y * (z / (x \ 1)))) = L(y,x,x) * (z * ((x \ 1) \ 1)). [hyper(272,a,2013,a,b,6754,a)]. given #6518 (H,wt=19): 6939 ((x \ y) * z) / (x \ 1) = x \ (y * (z / (x \ 1))). [hyper(2031,a,6755,a)]. given #6519 (H,wt=25): 6940 x * (y \ (x * ((y \ z) / (y \ 1)))) = z * (((y \ x) * (y \ x)) * y). [para(6939(a,1),5074(a,1,2))]. given #6520 (H,wt=21): 6941 x * (((y \ z) * (y \ z)) * y) = z * (y \ (z * T(x,y))). [para(678(a,2),6940(a,1,2,2,2)),flip(a)]. given #6521 (H,wt=21): 6942 x * ((y * (y \ z)) * (y \ z)) = z * (y \ (z * T(x,y))). [hyper(58,a,3280,a,b,6941,a)]. given #6522 (H,wt=17): 6943 x * (y \ (x * T(z,y))) = z * (x * (y \ x)). [para(5(a,1),6942(a,1,2,1)),flip(a)]. given #6523 (H,wt=17): 6944 x \ (y * T(x \ y,x)) = (y \ x) \ (y / x). [hyper(29,a,6858,a(flip),b,6943,a),flip(a)]. given #6524 (H,wt=15): 6947 (x \ y) \ (x / y) = y \ (x * (x / y)). [para(2775(a,1),6944(a,1,2,2)),flip(a)]. given #6525 (H,wt=15): 6949 (x \ y) * (y \ (x * (x / y))) = x / y. [hyper(127,a,6947,a)]. given #6526 (H,wt=17): 6946 T(x,y) * (z * (y \ z)) = z * (y \ (z * x)). [para(2765(a,1),6943(a,1,2,2,2)),flip(a)]. given #6527 (H,wt=17): 6948 (x / y) * T(x / y,x) = y \ (x * (x / y)). [hyper(4261,a,6947,a)]. given #6528 (H,wt=17): 6950 (x \ y) * T(x \ y,y) = x \ (y * (y / x)). [hyper(58,a,6857,a,b,6947,a)]. given #6529 (H,wt=21): 6953 ((x / y) \ 1) * T((x / y) \ 1,y) = x \ (y * (y / x)). [hyper(58,a,2912,a,b,6950,a)]. given #6530 (H,wt=23): 6951 (T(x,y) \ 1) \ (y / (x \ y)) = (x \ y) \ (y * (y / (x \ y))). [hyper(58,a,3039,a,b,6947,a)]. given #6531 (H,wt=19): 6954 (x \ y) \ (y * (y / (x \ y))) = (T(x,y) \ 1) \ x. [para(72(a,1),6951(a,1,2)),flip(a)]. given #6532 (H,wt=17): 6957 (x \ y) \ (y * (y / (x \ y))) = x * T(x,y). [hyper(272,a,3035,a(flip),b,6954,a),flip(a)]. given #6533 (H,wt=13): 6960 (x \ y) \ (y * x) = x * T(x,y). [para(72(a,1),6957(a,1,2,2))]. given #6534 (H,wt=17): 6962 (x \ y) * T(x \ y,x) = ((x \ y) \ x) \ y. [para(5(a,1),6960(a,1,2)),flip(a)]. given #6535 (H,wt=17): 6965 (x \ y) * T(x \ y,x) = ((y \ x) * x) \ y. [hyper(272,a,3298,a(flip),b,6962,a),flip(a)]. given #6536 (H,wt=15): 6966 ((x \ y) * y) \ x = (y \ x) * (x / y). [para(2775(a,1),6965(a,1,2)),flip(a)]. given #6537 (H,wt=20): 6959 (x \ y) \ (y * (y / (x \ y))) != z | x * T(x,y) = z. [para(6954(a,2),3617(a,1))]. given #6538 (H,wt=23): 6952 T(x,y) * (T(y,K(z,u)) \ 1) = K(z,u) * (y \ (K(z,u) * x)). [para(3907(a,1),6946(a,1,2))]. given #6539 (H,wt=25): 6963 ((x \ y) \ y) * T((x \ y) \ y,y) = (y / x) \ (y * ((x \ y) \ y)). [para(2826(a,1),6960(a,1,1)),flip(a)]. given #6540 (H,wt=23): 6970 ((x \ y) \ y) * T((x \ y) \ y,y) = (y / x) \ ((x \ 1) \ y). [para(3462(a,1),6963(a,2,2))]. given #6541 (H,wt=21): 6971 (x \ y) \ (y * (y / (x \ y))) = (y / x) \ ((x \ 1) \ y). [hyper(58,a,6950,a(flip),b,6970,a)]. given #6542 (H,wt=15): 6972 (x / y) \ ((y \ 1) \ x) = y * T(y,x). [hyper(6959,a,6971,a),flip(a)]. given #6543 (H,wt=25): 6964 ((x \ 1) \ (y / x)) \ (x \ (x \ y)) = (x \ 1) * T(x \ 1,y / x). [para(2835(a,1),6960(a,1,2))]. given #6544 (H,wt=25): 6975 (x * (y * (1 / x))) \ (x \ (x \ y)) = (x \ 1) * T(x \ 1,y / x). [para(3829(a,1),6964(a,1,1))]. given #6545 (H,wt=23): 6976 (x * (y * (1 / x))) \ (x \ (x \ y)) = (x \ 1) * (T(x,y) \ 1). [para(3387(a,1),6975(a,2,2))]. given #6546 (H,wt=21): 6977 (x * (y * (1 / x))) \ (x \ (x \ y)) = x \ (1 / T(x,y)). [hyper(272,a,4587,a(flip),b,6976,a),flip(a)]. given #6547 (H,wt=26): 6761 L(x,y,z) * K(u,L(x,y,z) \ x) = T(a(x \ 1,z,y) \ 1,u) \ x. [para(2533(a,1),6759(a,2,1,1))]. given #6548 (H,wt=23): 6978 T(L(x,y,z) \ x,u) \ x = T(a(x \ 1,z,y) \ 1,u) \ x. [hyper(58,a,6759,a(flip),b,6761,a)]. given #6549 (H,wt=26): 6782 (x * (x * (K(x,y) * z))) \ ((x * T(x,y)) * z) = a(x,x,K(x,y) * z). [hyper(112,a,6780,a(flip),b,79,a)]. given #6550 (H,wt=24): 6979 (x * (T(x,y) * z)) \ ((x * T(x,y)) * z) = a(x,x,K(x,y) * z). [para(2687(a,1),6782(a,1,1,2))]. given #6551 (H,wt=18): 6980 a(x,x,K(x,y) * z) != u | a(x,T(x,y),z) = u. [para(6979(a,1),588(a,1))]. given #6552 (H,wt=26): 6788 (x \ (y / x)) * K(z,x \ y) != u | (x \ y) * (x \ K(z,x \ y)) = u. [para(4320(a,1),5618(a,1))]. given #6553 (H,wt=26): 6904 x * (x * (y * ((y * x) * x))) != z | ((x * y) * x) * ((x * y) * x) = z. [para(6902(a,1),5768(a,1))]. given #6554 (H,wt=26): 6912 L(x,y / z,y / z) * ((z \ y) * (z \ y)) = (x * (y / z)) * (y / z). [para(4746(a,1),4140(a,1,1))]. given #6555 (H,wt=26): 6914 (x \ ((x / y) \ y)) * (y \ (x / y)) != z | (x \ (y \ x)) / (y \ x) = z. [para(4991(a,1),4582(a,1))]. given #6556 (H,wt=26): 6915 L(x,y \ z,y \ z) * ((y \ z) * (y \ z)) = (x * (z / y)) * (z / y). [hyper(2958,a,4879,a)]. given #6557 (H,wt=17): 6982 L(x,y / z,y / z) = L(x,z \ y,z \ y). [hyper(30,a,6912,a,b,6915,a)]. given #6558 (H,wt=16): 6988 L(x,1 / y,1 / y) != z | L(x,y,y) = z. [para(6982(a,2),4235(a,1))]. given #6559 (H,wt=18): 6984 L(x / y,y \ x,y \ x) = ((x / y) \ 1) \ 1. [hyper(2040,a,6982,a),flip(a)]. given #6560 (H,wt=18): 6992 L(x / y,y \ x,y \ x) = (x \ 1) \ (y \ 1). [hyper(272,a,4191,a(flip),b,6984,a),flip(a)]. given #6561 (H,wt=20): 6983 L(T(x,y / z),z \ y,z \ y) = T(x,(y / z) \ 1). [hyper(6130,a,6982,a),flip(a)]. given #6562 (H,wt=18): 6993 L(T(x,y / z),z \ y,z \ y) = T(x,z / y). [hyper(272,a,4478,a(flip),b,6983,a),flip(a)]. given #6563 (H,wt=20): 6985 L(x * (y / z),z \ y,z \ y) = x / (1 / (y / z)). [hyper(58,a,2966,a(flip),b,6982,a),flip(a)]. given #6564 (H,wt=15): 6995 x / (1 / (y / x)) = x * (1 / (x / y)). [hyper(5119,a,6985,a),flip(a)]. given #6565 (H,wt=20): 6991 L(x,T(1 / y,z),z / (z * y)) != u | L(x,y,y) = u. [para(6189(a,2),6988(a,1))]. given #6566 (H,wt=21): 6986 x * L(x \ 1,y \ z,y \ z) = a(x,z / y,z / y). [hyper(114,a,6982,a(flip),b,1184,a(flip))]. given #6567 (H,wt=17): 6997 a(x,y / z,y / z) = a(x,z \ y,z \ y). [hyper(1204,a,6986,a),flip(a)]. given #6568 (H,wt=20): 6998 ((x / y) \ a(z,y \ x,y \ x)) * z = (x / y) \ z. [para(6997(a,1),5670(a,1,1,2))]. given #6569 (H,wt=16): 6999 ((1 / x) \ a(y,x,x)) * y = (1 / x) \ y. [para(6083(a,1),6998(a,1,1,2))]. given #6570 (H,wt=21): 6996 x \ (x * (1 / (x / T(y,x)))) = T(1 / (x / y),x \ 1). [para(6995(a,1),4604(a,1,2))]. given #6571 (H,wt=17): 7000 T(1 / (x / y),x \ 1) = 1 / (x / T(y,x)). [hyper(287,a,6996,a),flip(a)]. given #6572 (H,wt=17): 7002 T(x \ 1,y) \ (1 / y) = 1 / (y / T(x,y)). [hyper(58,a,5926,a(flip),b,7000,a)]. given #6573 (H,wt=19): 7003 T(x \ 1,y * T(y,z)) = T(x,y * T(y,z)) \ 1. [hyper(6728,a,7002,a),flip(a)]. given #6574 (H,wt=23): 7004 T(T(x \ 1,y),z * T(z,u)) = T(T(x,z * T(z,u)) \ 1,y). [para(7003(a,1),18(a,1,1)),flip(a)]. given #6575 (H,wt=25): 6987 L(x,T(1 / y,z),z / (z * y)) = L(x,(z * y) \ z,(z * y) \ z). [para(3031(a,2),6982(a,1,2))]. given #6576 (H,wt=20): 7005 L(x,(y * z) \ y,(y * z) \ y) != u | L(x,z,z) = u. [para(6987(a,1),6991(a,1))]. given #6577 (H,wt=26): 6990 (x / y) * (((y \ x) * (y \ 1)) \ 1) = (L(y,y \ x,y \ x) \ 1) \ 1. [para(6982(a,1),4955(a,2,1,1))]. given #6578 (H,wt=25): 7006 (x / y) * (((y \ x) * (y \ 1)) \ 1) = ((x * ((y \ x) \ 1)) \ 1) \ 1. [para(2017(a,1),6990(a,2,1,1))]. given #6579 (H,wt=22): 7007 (x / y) * (((y \ x) * (y \ 1)) \ 1) = (1 / L(y,x,x)) \ 1. [para(4957(a,1),7006(a,2,1))]. given #6580 (H,wt=18): 7008 (x / y) * (((y \ x) * (y \ 1)) \ 1) = L(y,x,x). [hyper(272,a,74,a(flip),b,7007,a),flip(a)]. given #6581 (H,wt=16): 7010 (x / y) * ((y \ (x / y)) \ 1) = L(y,x,x). [para(684(a,1),7008(a,1,2,1))]. given #6582 (H,wt=27): 2948 K(a(x,y,z),x * (y * z)) * (((x * y) * z) / (x * (y * z))) = a(x,y,z). [para(79(a,1),2825(a,1,2,1))]. given #6583 (H,wt=27): 3135 (x \ 1) * T((1 / (x \ 1)) / (x \ 1),y) = x \ T(x * ((x \ 1) \ 1),y). [para(3132(a,2),805(a,1,2,1))]. given #6584 (H,wt=23): 7012 x \ T(x * ((x \ 1) \ 1),y) = (x \ 1) * T(x / (x \ 1),y). [para(72(a,1),3135(a,1,2,1,1)),flip(a)]. given #6585 (H,wt=21): 7014 (x \ 1) * T(x / (x \ 1),y) = x \ T((1 / x) \ x,y). [para(3007(a,1),7012(a,1,2,1)),flip(a)]. given #6586 (H,wt=21): 7015 (x \ 1) * T((1 / x) \ x,y) = x \ T((1 / x) \ x,y). [para(2914(a,1),7014(a,1,2,1))]. given #6587 (H,wt=27): 3202 K(x,y) * T(x * L(x \ z,u,w),x) = T(x,y) * L(x \ T(z,x),u,w). [para(1423(a,1),2749(a,1,2)),flip(a)]. given #6588 (H,wt=25): 7016 T(T(x,y) * L(x \ z,u,w),x) = T(x,y) * L(x \ T(z,x),u,w). [hyper(4714,a,3202,a)]. given #6589 (H,wt=23): 7017 T(T(x,y) * L(x \ y,z,u),x) = T(x * L(x \ y,z,u),y). [hyper(272,a,2264,a(flip),b,7016,a),flip(a)]. given #6590 (H,wt=27): 3203 K(x,y) * T(x * R(x \ z,u,w),x) = T(x,y) * R(x \ T(z,x),u,w). [para(1445(a,1),2749(a,1,2)),flip(a)]. given #6591 (H,wt=25): 7019 T(T(x,y) * R(x \ z,u,w),x) = T(x,y) * R(x \ T(z,x),u,w). [hyper(4714,a,3203,a)]. given #6592 (H,wt=27): 3218 (T(x,y) * z) \ (K(x,y) * (x * (z * u))) = L(L(u,z,x),x * z,K(x,y)). [para(2750(a,1),427(a,1,1))]. given #6593 (H,wt=25): 7021 L(L(x,y,z),z * y,K(z,u)) = (T(z,u) * y) \ (T(z,u) * (y * x)). [para(2750(a,1),3218(a,1,2)),flip(a)]. given #6594 (H,wt=18): 7022 L(L(x,y,z),z * y,K(z,u)) = L(x,y,T(z,u)). [hyper(272,a,13,a,b,7021,a),flip(a)]. given #6595 (H,wt=14): 7024 L(x,y,T(z,L(x,y,z))) = L(x,y,z). [hyper(58,a,5738,a(flip),b,7022,a),flip(a)]. given #6596 (H,wt=11): 7026 L(x,y,T(z,x)) = L(x,y,z). [para(6289(a,1),7024(a,1,3))]. given #6597 (H,wt=16): 7025 L(x,y,T(z,z * y)) != u | L(x,y,z) = u. [para(7022(a,1),2699(a,1))]. given #6598 (H,wt=17): 7027 a(x,T(y,x \ 1),z) = x * L(x \ 1,z,y). [hyper(114,a,7026,a(flip),b,1184,a(flip)),flip(a)]. given #6599 (H,wt=16): 7029 a(x,T(y,x \ 1),z) != u | a(x,y,z) = u. [para(7027(a,2),1204(a,1))]. given #6600 (H,wt=21): 7023 L(L(x,y,z),z * y,K(z,u)) != w | L(x,y,T(z,u)) = w. [para(7021(a,2),430(a,1))]. given #6601 (H,wt=27): 3516 ((x \ y) \ 1) \ (((x \ y) \ z) * y) = (z * ((x / y) \ y)) * ((x \ y) \ 1). [para(3486(a,1),752(a,1,1,2)),flip(a)]. given #6602 (H,wt=27): 3568 T(1 / T(x,y * (1 / x)),y * (1 / x)) = (y * (1 / x)) \ (x \ (x \ y)). [hyper(359,a,3534,a(flip),b,2793,a)]. given #6603 (H,wt=25): 7030 T(1 / T(x,x \ y),y * (1 / x)) = (y * (1 / x)) \ (x \ (x \ y)). [para(3539(a,1),3568(a,1,1,2))]. given #6604 (H,wt=23): 7031 T(1 / T(x,x \ y),y / x) = (y * (1 / x)) \ (x \ (x \ y)). [hyper(58,a,6044,a(flip),b,7030,a)]. given #6605 (H,wt=20): 7032 T(1 / T(x,x \ y),y / x) = L(x \ 1,1 / x,y). [hyper(272,a,6206,a(flip),b,7031,a),flip(a)]. given #6606 (H,wt=21): 7033 L(x \ 1,1 / x,y) != z | (y / x) \ ((x * x) \ y) = z. [para(7032(a,1),4668(a,1))]. given #6607 (H,wt=16): 7034 (x / y) \ ((y * y) \ x) = L(y,y,x) \ 1. [hyper(7033,a,5089,a)]. given #6608 (H,wt=27): 3682 ((x * y) * T(z,u)) / ((y * z) * K(z,u)) = R(R(x,y,z),y * z,K(z,u)). [para(3664(a,1),449(a,1,1))]. given #6609 (H,wt=25): 7035 R(R(x,y,z),y * z,K(z,u)) = ((x * y) * T(z,u)) / (y * T(z,u)). [para(3664(a,1),3682(a,1,2)),flip(a)]. given #6610 (H,wt=18): 7036 R(R(x,y,z),y * z,K(z,u)) = R(x,y,T(z,u)). [hyper(272,a,15,a,b,7035,a),flip(a)]. given #6611 (H,wt=21): 7037 R(R(x,y,z),y * z,K(z,u)) != w | R(x,y,T(z,u)) = w. [para(7035(a,2),457(a,1))]. given #6612 (H,wt=27): 3732 (((x * (y \ 1)) * z) \ (x * (y \ 1))) * (T(y,x) \ x) = z \ (x * (y \ 1)). [hyper(272,a,3299,a(flip),b,2998,a),flip(a)]. given #6613 (H,wt=27): 3910 x \ (K(y,z) * ((K(y,z) * x) * u)) != w | L(u,K(y,z) * x,K(y,z)) = w. [para(3893(a,1),430(a,1,1))]. given #6614 (H,wt=27): 4056 ((x * (1 / y)) * (x * (1 / y))) \ (y \ (x / y)) = (1 / y) / (x * (1 / y)). [hyper(112,a,3830,a(flip),b,3251,a)]. given #6615 (H,wt=23): 7038 ((x \ y) * (x \ y)) \ (x \ (y / x)) = (1 / x) / (y * (1 / x)). [para(6268(a,1),4056(a,1,1))]. given #6616 (H,wt=23): 7039 (x \ ((x / y) \ y)) * (y \ (x / y)) = (1 / y) / (x * (1 / y)). [hyper(58,a,4991,a(flip),b,7038,a)]. given #6617 (H,wt=23): 7040 (x \ ((x / y) \ y)) * (y \ (x / y)) = (1 / y) \ ((1 / y) / x). [hyper(272,a,3305,a(flip),b,7039,a),flip(a)]. given #6618 (H,wt=19): 7041 (x \ ((x / y) \ y)) * (y \ (x / y)) = y \ (y / x). [hyper(272,a,4642,a(flip),b,7040,a),flip(a)]. given #6619 (H,wt=15): 7042 (x \ (y \ x)) / (y \ x) = y \ (y / x). [hyper(6914,a,7041,a)]. given #6620 (H,wt=15): 7043 ((x \ y) * y) \ (x \ y) = x \ (x / y). [hyper(3312,a,7042,a)]. given #6621 (H,wt=21): 7044 T((x \ y) * y,x \ y) \ 1 = (x \ y) \ (x \ (x / y)). [hyper(112,a,7043,a(flip),b,3006,a),flip(a)]. given #6622 (H,wt=19): 7045 (x \ y) \ (x \ (x / y)) = (y / ((x \ y) \ 1)) \ 1. [para(680(a,1),7044(a,1,1)),flip(a)]. given #6623 (H,wt=17): 7046 (x \ y) \ (x \ (x / y)) = ((x / y) \ y) \ 1. [para(3486(a,1),7045(a,2,1))]. given #6624 (H,wt=27): 4089 (((x \ 1) \ y) * T((x \ 1) \ y,x)) / x = (x * (y / x)) * ((x \ 1) \ y). [para(3481(a,1),4083(a,2,1))]. given #6625 (H,wt=27): 4159 (x * (1 / (y * (z * ((x \ 1) \ 1))))) \ 1 = (x \ 1) \ (((x \ 1) * y) * z). [hyper(1134,a,4132,a),flip(a)]. given #6626 (H,wt=19): 7048 (x \ 1) \ (((x \ 1) * y) * z) = (y * (z * x)) / x. [hyper(58,a,6591,a(flip),b,4159,a),flip(a)]. given #6627 (H,wt=19): 7049 (x \ 1) * ((y * (z * x)) / x) = ((x \ 1) * y) * z. [hyper(114,a,6591,a(flip),b,4159,a(flip))]. given #6628 (H,wt=19): 7052 ((x \ 1) * y) * (z / x) = (x \ 1) * ((y * z) / x). [para(7(a,1),7049(a,1,2,1,2)),flip(a)]. given #6629 (H,wt=19): 7054 (x * (y * z)) * (z \ 1) = z * (((z \ 1) * x) * y). [para(7049(a,1),3743(a,1,2)),flip(a)]. given #6630 (H,wt=22): 7053 (x \ 1) \ (((x \ 1) * y) * z) != u | (y * (z * x)) / x = u. [para(7049(a,1),287(a,1,2))]. given #6631 (H,wt=26): 7055 (x * (1 / (y * (z * ((x \ 1) \ 1))))) \ 1 != u | (y * (z * x)) / x = u. [para(4159(a,2),7053(a,1))]. given #6632 (H,wt=27): 4256 (x * y) * (L(y \ z,y,x) \ 1) != u | ((x * z) / (x * y)) \ (x * y) = u. [para(89(a,2),3327(a,1,2,1))]. given #6633 (H,wt=27): 4336 (1 / x) \ ((((1 / x) * y) * (x * x)) / (1 / x)) = y * ((x * (1 * x)) * x). [para(2922(a,1),1132(a,2,2))]. given #6634 (H,wt=27): 4579 K(x,x \ y) * L((x \ y) \ y,z,u) = x * a(((x \ y) \ y) \ 1,u,z). [para(1181(a,2),3956(a,1,2)),flip(a)]. given #6635 (H,wt=25): 7057 K(x,x \ y) * L((x \ y) \ y,z,u) = x * a(T(1 / x,y),u,z). [para(3492(a,1),4579(a,2,2,1))]. given #6636 (H,wt=25): 7058 K(x,x \ y) * L((x \ y) \ y,z,u) = x * a(T(x \ 1,y),u,z). [para(2519(a,1),7057(a,2,2))]. given #6637 (H,wt=27): 4686 (1 / x) * ((x * y) * (x * ((x \ 1) \ y))) = (x * y) * T(x * y,1 / x). [para(725(a,1),4685(a,1,2,2))]. given #6638 (H,wt=27): 4691 (x \ (x \ y)) * T(x \ (x \ y),y) = y * ((x \ (x \ y)) * (x \ (x \ 1))). [para(4383(a,1),4685(a,1,2,2)),flip(a)]. given #6639 (H,wt=25): 7060 (x \ (x \ y)) * T(x \ (x \ y),y) = y * (x \ (x \ (x \ (x \ y)))). [para(4382(a,1),4691(a,2,2))]. given #6640 (H,wt=23): 7061 (x \ (x \ y)) * ((x * x) \ y) = y * (x \ (x \ (x \ (x \ y)))). [para(3457(a,1),7060(a,1,2))]. given #6641 (H,wt=23): 7062 ((x * x) \ y) * (x \ (x \ y)) = y * (x \ (x \ (x \ (x \ y)))). [hyper(58,a,6220,a,b,7061,a)]. given #6642 (H,wt=27): 4709 ((x * ((1 / y) \ x)) / ((x * y) * (x * y))) \ 1 = T(y,(x * y) * (x * y)). [para(4590(a,1),2909(a,2,1,1)),flip(a)]. given #6643 (H,wt=27): 4903 ((1 / (x \ (y \ 1))) \ (x \ (y \ 1))) * 1 = (x \ (y \ 1)) * ((1 / x) / y). [para(4894(a,1),3500(a,2,2))]. given #6644 (H,wt=27): 5007 (((1 / x) * y) * ((1 / x) * y)) / x = (y * (x \ (1 / x))) * ((1 / x) * y). [para(5005(a,1),3029(a,1,1)),flip(a)]. given #6645 (H,wt=27): 5018 (x * x) * ((y * x) * T(y * x,x * x)) = (y * x) * (((x * x) * y) * x). [para(3275(a,2),5011(a,2,2))]. given #6646 (H,wt=26): 7066 (x * x) * ((y * x) * L(y * x,x,x)) = (y * x) * (((x * x) * y) * x). [para(2952(a,1),5018(a,1,2,2))]. given #6647 (H,wt=25): 7067 (x * x) * ((y * x) * (y / (1 / x))) = (y * x) * (((x * x) * y) * x). [para(2966(a,1),7066(a,1,2,2))]. given #6648 (H,wt=25): 7068 (x * x) * ((y * x) * (y / (1 / x))) = (y * x) * ((x * x) * (y * x)). [para(3275(a,1),7067(a,2,2))]. given #6649 (H,wt=27): 5102 T(x * ((y \ z) \ (1 / (y \ z))),z \ y) = ((y \ z) \ x) * (1 / (y \ z)). [hyper(4488,a,5066,a)]. given #6650 (H,wt=25): 7069 T(x * ((y \ z) * (y \ z)),y \ z) = ((z \ y) \ x) * (1 / (z \ y)). [para(6223(a,1),5102(a,1,1,2))]. given #6651 (H,wt=27): 5175 (x * (y * (z * T(z \ (y \ (x \ u)),w)))) \ u = K(w,(x * (y * z)) \ u). [para(785(a,1),4073(a,1,1,2))]. given #6652 (H,wt=25): 7070 (x * (y * ((z \ (y \ (x \ u))) * z))) \ u = K(z,(x * (y * z)) \ u). [para(98(a,1),5175(a,1,1,2,2))]. given #6653 (H,wt=25): 7071 ((x * y) * ((z \ ((x * y) \ u)) * z)) \ u = K(z,(x * (y * z)) \ u). [para(2546(a,2),7070(a,1,1))]. given #6654 (H,wt=19): 7072 K(x,(y * (z * x)) \ u) = K(x,(y * z) \ (x \ u)). [hyper(6340,a,7071,a),flip(a)]. given #6655 (H,wt=19): 7073 K(x,(y * (x \ z)) \ (x \ u)) = K(x,(y * z) \ u). [hyper(58,a,6346,a(flip),b,7072,a),flip(a)]. given #6656 (H,wt=17): 7077 K(x,(y * (x \ 1)) \ (x \ z)) = K(x,y \ z). [para(3(a,1),7073(a,2,2,1))]. given #6657 (H,wt=17): 7078 K(x,(y * (x \ 1)) \ z) = K(x,y \ (z * x)). [hyper(58,a,5397,a(flip),b,7077,a)]. given #6658 (H,wt=19): 7074 K(x,(y * (x * z)) \ u) = K(x,(y * z) \ (x \ u)). [hyper(58,a,6345,a(flip),b,7072,a)]. given #6659 (H,wt=19): 7075 K(x,(y * (z / x)) \ (x \ u)) = K(x,(y * z) \ u). [para(7(a,1),7072(a,1,2,1,2)),flip(a)]. given #6660 (H,wt=19): 7076 K(x,(y * (x \ z)) \ u) = K(x,(y * z) \ (u * x)). [hyper(58,a,5397,a(flip),b,7073,a)]. given #6661 (H,wt=19): 7080 K(x,(y * (z / x)) \ u) = K(x,(y * z) \ (u * x)). [hyper(58,a,5397,a(flip),b,7075,a)]. given #6662 (H,wt=21): 7081 K(x,(y * z) \ (u * x)) \ 1 = K((y * (z / x)) \ u,x). [para(7080(a,1),2878(a,1,1))]. given #6663 (H,wt=19): 7083 K((x * (y / z)) \ u,z) = K((x * y) \ (u * z),z). [hyper(2885,a,7081,a),flip(a)]. given #6664 (H,wt=19): 7084 K((x * (y \ z)) \ u,y) = K((x * z) \ (u * y),y). [hyper(6846,a,7083,a)]. given #6665 (H,wt=17): 7086 K((x * (y \ 1)) \ z,y) = K(x \ (z * y),y). [para(3(a,1),7084(a,2,1,1))]. given #6666 (H,wt=19): 7085 K((x * (y * z)) \ (u * y),y) = K((x * z) \ u,y). [hyper(58,a,5813,a(flip),b,7083,a),flip(a)]. given #6667 (H,wt=19): 7089 K((x * (y * z)) \ u,y) = K((x * z) \ (y \ u),y). [hyper(58,a,6325,a(flip),b,7085,a)]. given #6668 (H,wt=20): 7088 L(K(x * (y \ z),x),y \ z,y) = K(y \ (z * x),x). [hyper(58,a,6352,a,b,7086,a)]. given #6669 (H,wt=20): 7090 K((x * y) \ (z \ ((x * z) * y)),z) = K(a(x,z,y),z). [para(9(a,2),7089(a,1,1)),flip(a)]. given #6670 (H,wt=8): 7091 K(a(x,y,z),y) = 1. [hyper(58,a,6752,a(flip),b,7090,a),flip(a)]. given #6671 (H,wt=15): 7093 (1 / a(x,y,z)) * y = y / a(x,y,z). [para(7091(a,1),2944(a,1,1,1))]. given #6672 (H,wt=24): 7082 K(x,K(y,(z * u) \ (y * y))) != w | K(x,K(z * (u / y),y)) = w. [para(7080(a,1),5560(a,1,2))]. given #6673 (H,wt=25): 7087 (K((x * y) \ (z * u),u) * w) \ w = K(u,T((x * (u \ y)) \ z,w)). [para(7084(a,1),5234(a,1,1,1))]. given #6674 (H,wt=26): 7094 K(x,T((y * (x \ z)) \ u,w)) != v5 | K(x,T((y * z) \ (u * x),w)) = v5. [para(7087(a,1),5235(a,1))]. given #6675 (H,wt=27): 5177 (x * T(y,L(z * K(y,z),y,x))) \ (x * (y * (z * K(y,z)))) = L(z,y,x). [hyper(272,a,2759,a(flip),b,4093,a),flip(a)]. given #6676 (H,wt=23): 7095 (x * T(y,L(z,y,x))) \ (x * (y * (z * K(y,z)))) = L(z,y,x). [para(2719(a,1),5177(a,1,1,2))]. given #6677 (H,wt=21): 7096 (x * T(y,L(z,y,x))) \ (x * (T(y,z) * z)) = L(z,y,x). [para(2868(a,1),7095(a,1,2,2))]. given #6678 (H,wt=27): 5328 x \ (((y \ x) * y) * L(T(y,z),u,w)) = K(y \ x,y) * L(T(y,z),u,w). [para(5288(a,1),469(a,1,1))]. given #6679 (H,wt=27): 5444 (T(a(x \ 1,y,z),u) \ L(x,z,y)) \ L(x,z,y) = T(L(x,z,y) / x,u). [para(1181(a,2),5438(a,1,1,1,1))]. given #6680 (H,wt=27): 5461 K(x,T((T(x,y) * y) \ z,(x * y) / x)) = K(x,z / (x * ((x * y) / x))). [para(2306(a,2),5336(a,1,2,1,1))]. given #6681 (H,wt=25): 7098 K(x,T((T(x,y) * y) \ z,T(y,x))) = K(x,z / (x * ((x * y) / x))). [para(2774(a,2),5461(a,1,2,2))]. given #6682 (H,wt=23): 7099 K(x,T((T(x,y) * y) \ z,y)) = K(x,z / (x * ((x * y) / x))). [hyper(5356,a,7098,a)]. given #6683 (H,wt=27): 5752 ((T(x,y) * (z / x)) * x) * T(x,u) = (x * x) * ((T(x,y) \ z) * T(x,u)). [para(5750(a,1),4037(a,1,1,1))]. given #6684 (H,wt=25): 7100 (x * x) * ((T(x,y) \ z) * T(x,u)) = ((T(x,y) \ 1) \ z) * T(x,u). [para(5221(a,1),5752(a,1,1)),flip(a)]. given #6685 (H,wt=25): 7101 (x * x) * (T(x,y) * (z / T(x,u))) = ((T(x,y) \ 1) \ z) * T(x,u). [para(5925(a,1),7100(a,1,2))]. given #6686 (H,wt=27): 5771 (1 / (x / L(T(x,y),z,u))) * K(x,y) = 1 / (L(T(x,y),z,u) \ T(x,y)). [para(2497(a,1),5683(a,2,2))]. given #6687 (H,wt=27): 6074 K(x,T(y * (z * (u \ 1)),u \ 1)) = K(x,(u \ 1) * (u \ ((u * y) * z))). [para(1128(a,1),6070(a,1,2,2)),flip(a)]. given #6688 (H,wt=25): 7103 K(x,T(y * (z * (u \ 1)),u \ 1)) = K(x,u \ (u \ ((u * y) * z))). [hyper(272,a,6081,a(flip),b,6074,a),flip(a)]. given #6689 (H,wt=23): 7104 K(x,T(y * (z * (u \ 1)),u)) = K(x,u \ (u \ ((u * y) * z))). [hyper(58,a,5971,a(flip),b,7103,a)]. given #6690 (H,wt=27): 6097 T(T(x,K(y,z * (y \ u))),y * (z * (u / y))) = T(x,(z * (u / y)) * y). [para(5378(a,1),6063(a,1,1,2))]. given #6691 (H,wt=27): 6312 K(L(x,y / x,z),u) * (K(u,w) * v5) = K(u,w) * (L(K(x,u),y,z) * v5). [para(6283(a,1),6255(a,1,2,1)),flip(a)]. given #6692 (H,wt=25): 7105 L(K(x,y),z,u) * (K(y,w) * v5) = K(y,w) * (L(K(x,y),z,u) * v5). [para(6283(a,1),6312(a,1,1))]. given #6693 (H,wt=27): 6347 L(K(x,(y * (x * z)) \ u),w * x,v5) = K(L(x,w,v5),(y * (z * x)) \ u). [para(6345(a,1),6278(a,1,1))]. given #6694 (H,wt=25): 7106 K(L(x,y,z),(u * (w * x)) \ v5) = K(L(x,y,z),(u * (x * w)) \ v5). [hyper(6535,a,6347,a),flip(a)]. given #6695 (H,wt=27): 6429 x * (((1 / (x * y)) * (1 / (x * y))) / x) = (x \ 1) * (((x * y) \ 1) / y). [para(4929(a,1),4883(a,1,2)),flip(a)]. given #6696 (H,wt=27): 6476 K(x,y / (z * (1 / ((z * u) * w)))) = K(x,y * (z * (u * (w * (1 / z))))). [para(6473(a,1),5973(a,1,2,2)),flip(a)]. given #6697 (H,wt=27): 6629 (x * y) \ (y * (T(z * T(x,y),z) / z)) = L(a(z,T(x,y),z),T(x,y),y). [para(6613(a,2),210(a,1,2,2))]. given #6698 (H,wt=27): 6630 L(x * a(y,x,y),z,u) * y != w | y * L(y \ T(y * x,y),z,u) = w. [para(6613(a,1),741(a,1,1,1))]. given #6699 (H,wt=27): 6749 (x * ((x / (1 / y)) / y)) / (1 / y) = (1 / y) * (y * (((y \ 1) \ x) * x)). [hyper(272,a,3118,a,b,6213,a),flip(a)]. given #6700 (H,wt=21): 7109 ((1 / x) \ y) * (y / (1 / x)) = x * (((x \ 1) \ y) * y). [hyper(1175,a,6749,a)]. given #6701 (H,wt=23): 7110 ((1 / x) \ y) * (y / (1 / x)) = (x * y) * T(x * y,1 / x). [hyper(272,a,6732,a,b,7109,a),flip(a)]. given #6702 (H,wt=23): 7111 (x * (x / (1 / y))) / (1 / y) = (y * x) * T(y * x,1 / y). [hyper(58,a,4730,a,b,7110,a)]. given #6703 (H,wt=27): 6864 (x \ (x \ 1)) \ (((x \ (x \ 1)) * y) * z) = x * (((x \ y) * (z * x)) / x). [para(4373(a,2),6444(a,1,2,1))]. given #6704 (H,wt=27): 6881 x * (((y / (x \ 1)) / (1 / y)) * (1 / x)) = (x * (y * ((1 / x) * y))) * x. [hyper(114,a,6729,a(flip),b,17,a(flip))]. given #6705 (H,wt=25): 7113 x * (((y / (x \ 1)) / (1 / y)) * (1 / x)) = (x * y) * (x * (y / x)). [hyper(272,a,3656,a(flip),b,6881,a),flip(a)]. given #6706 (H,wt=23): 7114 x * ((y * ((1 / x) \ y)) * (1 / x)) = (x * y) * (x * (y / x)). [para(4843(a,1),7113(a,1,2,1))]. given #6707 (H,wt=23): 7115 x * ((1 / x) * ((y / (1 / x)) * y)) = (x * y) * (x * (y / x)). [para(4557(a,1),7114(a,1,2))]. given #6708 (H,wt=27): 6932 (x / (x / y)) * K(L(y,z,u),y \ x) = y * a(u,z * y,K(y \ x,y)). [para(6929(a,1),3158(a,2,2))]. given #6709 (H,wt=25): 7116 x / T(x / y,T(L(y,z,u),y)) = y * a(u,z * y,K(y \ x,y)). [hyper(58,a,5322,a(flip),b,6932,a)]. given #6710 (H,wt=23): 7117 x / T(x / y,L(y,z,u)) = y * a(u,z * y,K(y \ x,y)). [para(159(a,1),7116(a,1,2,2))]. given #6711 (H,wt=27): 7018 T(x * L(x \ (x * y),z,u),x * y) = T(T(x,x * y) * L(y,z,u),x). [para(4(a,1),7017(a,1,1,2,1)),flip(a)]. given #6712 (H,wt=23): 7118 T(T(x,x * y) * L(y,z,u),x) = T(x * L(y,z,u),x * y). [para(4(a,1),7018(a,1,1,2,1)),flip(a)]. given #6713 (H,wt=27): 7020 T(T(x,x * y) * R(x \ (x * y),z,u),x) = T(x * R(y,z,u),x * y). [hyper(272,a,2265,a(flip),b,7019,a),flip(a)]. given #6714 (H,wt=23): 7119 T(T(x,x * y) * R(y,z,u),x) = T(x * R(y,z,u),x * y). [para(4(a,1),7020(a,1,1,2,1))]. given #6715 (H,wt=27): 7047 (((x \ 1) \ y) * (y * T(x,x \ 1))) / x = (x * (y / x)) * ((x \ 1) \ y). [para(1991(a,1),4089(a,1,1,2))]. given #6716 (H,wt=21): 7120 (x * (y / x)) * ((x \ 1) \ y) = (x * ((y * y) * x)) / x. [para(4812(a,1),7047(a,1,1)),flip(a)]. given #6717 (H,wt=19): 7121 (x * (y / x)) * ((x \ 1) \ y) = T((y * y) * x,x). [hyper(272,a,2774,a,b,7120,a),flip(a)]. given #6718 (H,wt=17): 7122 (x * (y / x)) * ((x \ 1) \ y) = x * (y * y). [hyper(272,a,3378,a(flip),b,7121,a),flip(a)]. given #6719 (H,wt=27): 7056 (1 / x) \ ((x * (x * ((1 / x) * y))) / (1 / x)) = y * ((x * (1 * x)) * x). [para(2956(a,1),4336(a,1,2,1))]. given #6720 (H,wt=23): 7124 (1 / x) \ (((x \ 1) \ y) / (1 / x)) = y * ((x * (1 * x)) * x). [para(3497(a,1),7056(a,1,2,1))]. given #6721 (H,wt=19): 7125 x * (((x \ 1) \ y) * x) = y * ((x * (1 * x)) * x). [hyper(3745,a,7124,a)]. given #6722 (H,wt=17): 7126 x * ((y * (1 * y)) * y) = (y * (y * x)) * y. [hyper(3746,a,7125,a),flip(a)]. given #6723 (H,wt=15): 7127 (x * (x * y)) * x = y * ((x * x) * x). [para(2(a,1),7126(a,1,2,1,2)),flip(a)]. given #6724 (H,wt=25): 7128 x * (((1 / y) * (1 / y)) * (1 / y)) = (x * (y \ (1 / y))) * (1 / y). [para(5005(a,1),7127(a,1,1)),flip(a)]. given #6725 (H,wt=21): 7129 x * (((1 / y) * (1 / y)) * (1 / y)) = y \ ((y \ x) / y). [hyper(272,a,5214,a(flip),b,7128,a),flip(a)]. given #6726 (H,wt=19): 7130 x * ((y \ (1 / y)) * (1 / y)) = y \ ((y \ x) / y). [para(4881(a,1),7129(a,1,2))]. given #6727 (H,wt=17): 7131 x * ((y * y) \ (y \ 1)) = y \ ((y \ x) / y). [para(4030(a,1),7130(a,1,2))]. given #6728 (H,wt=17): 7133 x * (y \ (y \ (1 / y))) = y \ ((y \ x) / y). [para(3561(a,1),7131(a,1,2))]. given #6729 (H,wt=23): 7132 x \ ((x \ (x * ((y * x) * x))) / x) = T(y,x \ (x \ (x \ 1))). [hyper(58,a,6901,a(flip),b,7131,a),flip(a)]. given #6730 (H,wt=19): 7134 T(x,y \ (y \ (y \ 1))) = y \ (((x * y) * y) / y). [para(4(a,1),7132(a,1,2,1)),flip(a)]. given #6731 (H,wt=15): 7136 T(x,y \ (y \ (y \ 1))) = y \ (x * y). [para(6(a,1),7134(a,2,2))]. given #6732 (H,wt=13): 7137 T(x,y \ (y \ (y \ 1))) = T(x,y). [hyper(272,a,17,a,b,7136,a),flip(a)]. given #6733 (H,wt=27): 7063 ((x * y) \ ((x * y) \ (x * ((1 / y) \ x)))) \ 1 = T(y,(x * y) * (x * y)). [para(3009(a,1),4709(a,1,1))]. given #6734 (H,wt=25): 7139 ((x * y) \ T(T(x,y \ 1),x * y)) \ 1 = T(y,(x * y) * (x * y)). [para(6414(a,1),7063(a,1,1,2))]. given #6735 (H,wt=23): 7140 T(x,(y * x) * (y * x)) = (T(y,x \ 1) * ((y * x) \ 1)) \ 1. [para(2789(a,1),7139(a,1,1)),flip(a)]. given #6736 (H,wt=22): 7141 L(x,y * x,y * x) = (T(y,x \ 1) * ((y * x) \ 1)) \ 1. [hyper(58,a,2952,a(flip),b,7140,a)]. given #6737 (H,wt=27): 7064 ((((1 / x) / y) \ 1) \ (x \ (y \ 1))) * 1 = (x \ (y \ 1)) * ((1 / x) / y). [para(4902(a,1),4903(a,1,1,1))]. given #6738 (H,wt=27): 7065 (((1 / x) * y) * ((1 / x) * y)) / x = y * (((x \ 1) * (x \ (1 / x))) * y). [hyper(272,a,6408,a(flip),b,5007,a),flip(a)]. given #6739 (H,wt=27): 7079 L(K(x,(y * z) \ (x \ u)),w * x,v5) = K(L(x,w,v5),(y * (x * z)) \ u). [para(7074(a,1),6278(a,1,1))]. given #6740 (H,wt=27): 7097 K(x \ y,x) * L(T(x,x \ y),z,u) = y \ ((L(x,z,u) * (x \ y)) * x). [para(1104(a,1),5328(a,1,2)),flip(a)]. given #6741 (H,wt=27): 7102 (1 / (L(T(x,y),z,u) \ x)) * K(x,y) = 1 / (L(T(x,y),z,u) \ T(x,y)). [para(6809(a,1),5771(a,1,1,2))]. given #6742 (H,wt=27): 7107 x * ((((x * y) \ 1) * ((x * y) \ 1)) / x) = (x \ 1) * (((x * y) \ 1) / y). [para(4115(a,1),6429(a,1,2,1))]. given #6743 (H,wt=25): 7145 x * (((x * y) \ (1 / (x * y))) / x) = (x \ 1) * (((x * y) \ 1) / y). [para(684(a,1),7107(a,1,2,1))]. given #6744 (H,wt=27): 7108 (x * y) \ (y * T(T(z * x,z) / z,y)) = L(a(z,T(x,y),z),T(x,y),y). [para(1593(a,1),6629(a,1,2,2))]. given #6745 (H,wt=25): 7146 L(a(x,T(y,z),x),T(y,z),z) = (y * z) \ ((T(x * y,x) / x) * z). [para(98(a,1),7108(a,1,2)),flip(a)]. given #6746 (H,wt=19): 7147 L(a(x,T(y,z),x),T(y,z),z) = R(a(x,y,x),y,z). [hyper(272,a,6757,a(flip),b,7146,a),flip(a)]. given #6747 (H,wt=27): 7112 (1 / x) * (x * ((y * (y / (1 / x))) * x)) = (x * y) * T(x * y,1 / x). [hyper(3748,a,7111,a)]. given #6748 (H,wt=23): 7149 (x * y) * (x * ((x \ 1) \ y)) = x * ((y * (y / (1 / x))) * x). [hyper(29,a,4686,a,b,7112,a)]. given #6749 (H,wt=25): 7150 (x * ((y * (y / (1 / x))) * x)) * x = ((x * y) * x) * ((x * y) * x). [para(7149(a,1),4720(a,1,1))]. given #6750 (H,wt=27): 7144 T(K(x \ y,x) * L(x,z,u),x \ y) = y \ ((L(x,z,u) * (x \ y)) * x). [hyper(58,a,5470,a,b,7097,a)]. given #6751 (H,wt=25): 7152 (x / y) \ (L(y,z,u) * (y \ x)) = x \ ((L(y,z,u) * (y \ x)) * y). [hyper(58,a,5468,a(flip),b,7144,a)]. given #6752 (H,wt=28): 3514 ((x * y) / (x * (y * z))) \ (x * (y * z)) = (x * (y * z)) / (L(z,y,x) \ 1). [para(13(a,2),3486(a,1,2,1)),flip(a)]. given #6753 (H,wt=28): 3814 ((x * x) \ (1 / y)) * ((x * (x * y)) * z) = L(z,x * (x * y),x * (x * y)). [para(3436(a,1),3118(a,1,1))]. given #6754 (H,wt=28): 5053 1 / T(x * (1 / L(x,y,z)),L(x,y,z) \ 1) = (1 / x) / (L(x,y,z) \ 1). [para(4964(a,1),2908(a,1,2,1))]. given #6755 (H,wt=21): 7154 (1 / x) / (L(x,y,z) \ 1) = 1 / (x * (1 / L(x,y,z))). [para(4704(a,1),5053(a,1,2)),flip(a)]. given #6756 (H,wt=19): 7155 (1 / x) / (L(x,y,z) \ 1) = (x \ 1) * L(x,y,z). [hyper(272,a,6442,a(flip),b,7154,a),flip(a)]. given #6757 (H,wt=28): 5675 (x * (y * (y * K(z,u)))) * a(x,y * y,K(z,u)) = (x * (y * y)) * K(z,u). [para(5588(a,1),79(a,1,1,2))]. given #6758 (H,wt=28): 5739 (K(x,L(y,z,u)) * (u * z)) \ (K(x,L(y,z,u)) * (u * (z * y))) = L(y,z,u). [hyper(58,a,427,a,b,5738,a)]. given #6759 (H,wt=28): 5832 (x * (y * K(x * y,z))) \ (x * (y * K(x * y,z))) = a(x,y,K(x * y,z)). [hyper(112,a,5724,a(flip),b,79,a)]. given #6760 (H,wt=10): 7156 a(x,y,K(x * y,z)) = 1. [hyper(246,a,5832,a),flip(a)]. given #6761 (H,wt=10): 7158 a(x,y,K(z,x * y)) = 1. [para(28(a,1),7156(a,1,3))]. given #6762 (H,wt=28): 6217 L(x * (1 / T(y / z,y)),y / z,y / z) = (y \ z) * T(x,T(y / z,y)). [para(3041(a,1),6184(a,2,1))]. given #6763 (H,wt=28): 6680 K(x,y) * T(z \ (y * x),K(y,y * x)) = a(y,x,y) \ (z \ T(y * x,y)). [para(5701(a,1),6678(a,1,2))]. given #6764 (H,wt=26): 7160 a(x,y,x) \ (z \ T(x * y,x)) = K(y,x) * T(z \ (x * y),K(x,y)). [para(5549(a,1),6680(a,1,2)),flip(a)]. given #6765 (H,wt=26): 7161 T(K(x,y) * (z \ (y * x)),K(y,x)) = a(y,x,y) \ (z \ T(y * x,y)). [hyper(272,a,5900,a,b,7160,a)]. given #6766 (H,wt=28): 6880 (x \ y) * z != u * (w * ((y \ x) \ 1)) | (((y \ x) * u) * w) * (x \ y) = z. [para(6570(a,1),38(a,1)),flip(a)]. given #6767 (H,wt=28): 6893 (x * K(y,z)) * u != x * R(K(y,w),v5,v6) | K(z,y) * R(K(y,w),v5,v6) = u. [para(6863(a,1),38(a,1)),flip(a)]. given #6768 (H,wt=28): 6933 (1 * (((((x \ 1) \ 1) \ y) * z) / x)) / (1 / x) = ((x \ 1) * y) * L(z,x,x). [para(2(a,2),6493(a,1,1))]. given #6769 (H,wt=28): 7050 L(x \ ((y * (z * u)) / u),x,u \ 1) = ((u \ 1) * x) \ (((u \ 1) * y) * z). [para(7048(a,1),254(a,1,1,2))]. given #6770 (H,wt=23): 7162 ((x \ 1) * y) \ (((x \ 1) * z) * u) = (y \ (z * (u * x))) / x. [hyper(58,a,6210,a(flip),b,7050,a),flip(a)]. given #6771 (H,wt=21): 7163 ((x \ 1) * y) \ (((x \ 1) * z) * 1) = (y \ (z * x)) / x. [para(2(a,1),7162(a,2,1,2,2))]. given #6772 (H,wt=19): 7164 ((x \ 1) * y) \ ((x \ 1) * z) = (y \ (z * x)) / x. [hyper(292,a,7163,a)]. given #6773 (H,wt=16): 7165 (x \ ((x * y) * z)) / z = L(y,x,z \ 1). [hyper(430,a,7164,a),flip(a)]. given #6774 (H,wt=21): 7166 ((L(x,y,y) * z) * y) / (z * y) = L(x,y,(z * y) \ 1). [para(3140(a,1),7165(a,1,1))]. given #6775 (H,wt=16): 7168 R(L(x,y,y),z,y) = L(x,y,(z * y) \ 1). [hyper(457,a,7166,a)]. given #6776 (H,wt=16): 7169 L(R(x,y,z),z,z) = L(x,z,(y * z) \ 1). [hyper(58,a,24,a(flip),b,7168,a)]. given #6777 (H,wt=24): 7167 (x * (((x \ y) * (z * x)) / x)) / z = L(y,x \ (x \ 1),z \ 1). [para(6864(a,1),7165(a,1,1))]. given #6778 (H,wt=28): 7142 (x \ (y \ 1)) * ((1 / x) / y) != z | (((1 / x) / y) \ 1) \ (x \ (y \ 1)) = z. [para(7064(a,1),119(a,1)),flip(b)]. given #6779 (H,wt=28): 7143 K(L(x,y,z),(u * (x * w)) \ v5) != v6 | K(L(x,y,z),(u * w) \ (x \ v5)) = v6. [para(7079(a,1),6535(a,1))]. given #6780 (H,wt=28): 7151 ((x * y) * x) * ((x * y) * x) != z * x | x * ((y * (y / (1 / x))) * x) = z. [para(7150(a,1),39(a,1))]. given #6781 (H,wt=28): 7153 (x \ (x \ (x \ 1))) * ((x * (x * x)) * y) = L(y,x * (x * x),x * (x * x)). [para(3562(a,1),3814(a,1,1))]. given #6782 (H,wt=28): 7159 L(x * (1 / T(y / z,y)),z \ y,z \ y) = (y \ z) * T(x,T(y / z,y)). [hyper(58,a,6982,a(flip),b,6217,a)]. given #6783 (H,wt=26): 7172 L(x * (1 / T(y / z,y)),z \ y,z \ y) = (y \ z) * T(x,z \ y). [para(4487(a,1),7159(a,2,2))]. given #6784 (H,wt=27): 7173 L(x * (1 / T(y / z,y)),z \ y,z \ y) != u | x / ((y \ z) \ 1) = u. [para(7172(a,2),4475(a,1))]. given #6785 (H,wt=28): 7170 K(L(x,y,z),(u * (w * x)) \ v5) != v6 | K(L(x,y,z),(u * w) \ (x \ v5)) = v6. [para(7106(a,2),7143(a,1))]. given #6786 (H,wt=28): 7171 (x \ (x \ (x \ 1))) * (x * ((y * x) * x)) = L(y,x * (x * x),x * (x * x)). [para(4508(a,1),7153(a,1,2))]. given #6787 (H,wt=26): 7174 x \ (x \ (x \ (x * ((y * x) * x)))) = L(y,x * (x * x),x * (x * x)). [hyper(58,a,6832,a(flip),b,7171,a)]. given #6788 (H,wt=22): 7175 L(x,y * (y * y),y * (y * y)) = y \ (y \ ((x * y) * y)). [para(4(a,1),7174(a,1,2,2)),flip(a)]. given #6789 (H,wt=20): 7177 L(x,y * (y * y),y * (y * y)) = y \ T(x * y,y). [para(17(a,2),7175(a,2,2))]. given #6790 (H,wt=17): 7178 L(x,y * (y * y),y * (y * y)) = L(x,y,y). [hyper(272,a,2918,a(flip),b,7177,a),flip(a)]. given #6791 (H,wt=20): 7179 L(x,y * (y * y),y * (y * y)) != z | L(x,y,y) = z. [para(7177(a,2),2923(a,1))]. given #6792 (H,wt=29): 3738 (1 / ((x \ y) \ y)) \ (T(1 / x,y) \ z) = ((x \ y) \ y) * (((x \ y) \ y) * z). [para(3492(a,1),3107(a,1,2,1))]. given #6793 (H,wt=27): 7180 T(x \ 1,y) \ (T(1 / x,y) \ z) = ((x \ y) \ y) * (((x \ y) \ y) * z). [para(3426(a,1),3738(a,1,1))]. given #6794 (H,wt=27): 7181 T(x \ 1,y) \ (T(1 / x,y) \ z) = z * (((x \ y) \ y) * ((x \ y) \ y)). [hyper(272,a,2956,a,b,7180,a),flip(a)]. given #6795 (H,wt=19): 7182 T(x \ 1,y) \ (T(1 / x,y) \ z) = z * (x * x). [para(4875(a,1),7181(a,2,2))]. given #6796 (H,wt=19): 7183 T(x \ 1,y) \ (T(1 / x,y) \ z) = x * (x * z). [hyper(272,a,2956,a(flip),b,7182,a),flip(a)]. given #6797 (H,wt=29): 3817 (1 / (T(x,y \ 1) / (1 / y))) * T(x,y \ 1) = T(x,y \ 1) * ((x * y) \ 1). [para(2791(a,1),3472(a,2,2,1))]. given #6798 (H,wt=27): 7185 (1 / (((x \ 1) \ 1) * y)) * T(y,x \ 1) = T(y,x \ 1) * ((y * x) \ 1). [para(4562(a,1),3817(a,1,1,2))]. given #6799 (H,wt=27): 7186 (((x \ 1) \ 1) \ (y \ 1)) * T(x,y \ 1) = T(x,y \ 1) * ((x * y) \ 1). [para(4148(a,1),7185(a,1,1))]. given #6800 (H,wt=25): 7187 (1 / x) * ((y \ 1) * T(x,y \ 1)) = T(x,y \ 1) * ((x * y) \ 1). [hyper(58,a,5881,a(flip),b,7186,a)]. given #6801 (H,wt=21): 7188 T(x,y \ 1) * ((x * y) \ 1) = (1 / x) * (x * (y \ 1)). [para(98(a,1),7187(a,1,2)),flip(a)]. given #6802 (H,wt=18): 7189 T(x,y \ 1) * ((x * y) \ 1) = L(y \ 1,x,x). [hyper(272,a,3118,a(flip),b,7188,a),flip(a)]. given #6803 (H,wt=18): 7190 T(x,y \ 1) * ((x * y) \ 1) = L(y,x,x) \ 1. [hyper(272,a,3798,a(flip),b,7189,a),flip(a)]. given #6804 (H,wt=17): 7191 L(x,y * x,y * x) = (L(x,y,y) \ 1) \ 1. [para(7190(a,1),7141(a,2,1))]. given #6805 (H,wt=16): 7192 L(x,y * x,y * x) = y * ((x \ y) \ 1). [hyper(272,a,4950,a(flip),b,7191,a),flip(a)]. given #6806 (H,wt=29): 3836 (x * ((1 / x) * y)) \ ((x \ 1) * (x * (y * z))) = L(L(z,y,x),x * y,x \ 1). [para(3556(a,1),427(a,1,1))]. given #6807 (H,wt=29): 3937 (x * y) \ ((x * (y * K(z,u))) * K(u,z)) != w | a(x,y * K(z,u),K(u,z)) = w. [para(3912(a,1),588(a,1,1,2))]. given #6808 (H,wt=29): 3959 K(x,y) * (z * L(T(K(y,x),z),u,w)) = (K(x,y) * L(K(x,y) \ 1,u,w)) * z. [para(3890(a,1),1425(a,1,2,2,1))]. given #6809 (H,wt=27): 7196 (K(x,y) * L(K(x,y) \ 1,z,u)) * w = K(x,y) * (L(K(y,x),z,u) * w). [para(213(a,1),3959(a,1,2)),flip(a)]. given #6810 (H,wt=25): 7197 (K(x,y) * L(K(y,x),z,u)) * w = K(x,y) * (L(K(y,x),z,u) * w). [para(2878(a,1),7196(a,1,1,2,1))]. given #6811 (H,wt=21): 7198 K(x,y) * (L(K(y,x),z,u) * w) = a(u,z,K(x,y)) * w. [para(6926(a,1),7197(a,1,1)),flip(a)]. given #6812 (H,wt=21): 7199 L(K(x,y),z,u) * (K(y,x) * w) = a(u,z,K(y,x)) * w. [hyper(58,a,7105,a,b,7198,a)]. given #6813 (H,wt=29): 4122 ((x / (x / (y \ 1))) \ 1) * (x / (y \ 1)) = (x / (y \ 1)) * ((x * (1 / y)) \ x). [para(4094(a,2),2272(a,2,2))]. given #6814 (H,wt=29): 4534 (1 / x) * (((1 / x) \ y) * ((1 / x) \ y)) = x * ((y * ((1 / x) \ y)) * (1 / x)). [para(3277(a,1),3575(a,1,2))]. given #6815 (H,wt=25): 7201 x * ((y * ((1 / x) \ y)) * (1 / x)) = (1 / x) * ((y * x) * (y * x)). [para(4813(a,1),4534(a,1,2)),flip(a)]. given #6816 (H,wt=25): 7202 x * ((1 / x) * ((y / (1 / x)) * y)) = (1 / x) * ((y * x) * (y * x)). [para(4557(a,1),7201(a,1,2))]. given #6817 (H,wt=29): 4544 ((x \ 1) \ 1) \ (((1 / x) * (1 / x)) * y) = (1 / x) * ((1 / x) * ((1 / x) * y)). [para(2898(a,1),3636(a,1,1))]. given #6818 (H,wt=29): 4679 ((x \ (1 / x)) \ x) * T(y,(x \ (1 / x)) / x) = y / (((x \ (1 / x)) \ x) \ 1). [para(4678(a,2),4463(a,1,2,2))]. given #6819 (H,wt=29): 4690 x * ((x / (y \ 1)) * ((x * (1 / y)) \ x)) = (x / (y \ 1)) * T(x / (y \ 1),x). [para(4094(a,2),4685(a,1,2,2))]. given #6820 (H,wt=29): 4700 ((x \ 1) * T(x \ 1,(y \ 1) \ 1)) * ((y \ 1) \ 1) = ((y \ x) \ 1) * (x \ 1). [para(4021(a,1),4692(a,2,1))]. given #6821 (H,wt=25): 7205 ((x \ 1) * T(x \ 1,y)) * ((y \ 1) \ 1) = ((y \ x) \ 1) * (x \ 1). [para(1970(a,1),4700(a,1,1,2))]. given #6822 (H,wt=23): 7206 (x \ T(1 / x,y)) * ((y \ 1) \ 1) = ((y \ x) \ 1) * (x \ 1). [para(756(a,1),7205(a,1,1))]. given #6823 (H,wt=24): 7207 (x \ T(1 / x,y)) * ((y \ 1) \ 1) != z | x \ (1 / (x / y)) = z. [para(7206(a,2),3493(a,1))]. given #6824 (H,wt=29): 4722 T(x \ y,z * ((y \ x) \ 1)) \ (z * ((y \ x) \ 1)) = (x \ y) \ ((y \ x) \ z). [hyper(112,a,4663,a(flip),b,2228,a),flip(a)]. given #6825 (H,wt=27): 7208 T(x \ y,z / (y \ x)) \ (z * ((y \ x) \ 1)) = (x \ y) \ ((y \ x) \ z). [para(5988(a,1),4722(a,1,1))]. given #6826 (H,wt=29): 4916 K(x,(y * (z / u)) \ 1) / (y * (z / u)) = T(((z \ 1) \ (u \ 1)) \ (1 / y),x). [para(4198(a,2),2715(a,2,1))]. given #6827 (H,wt=29): 5104 T(x,y) * (T(x,y) * ((y * y) * T(x,y))) = (y * x) * (T(x,y) * (T(x,y) * y)). [para(2778(a,1),5067(a,1,1)),flip(a)]. given #6828 (H,wt=25): 7210 T(x,y) * (T(x,y) * ((y * y) * T(x,y))) = (y * x) * (y * (x * x)). [para(3159(a,1),5104(a,2,2))]. given #6829 (H,wt=21): 7211 x * (x * ((y * y) * T(x,y))) = (y * x) * (y * (x * x)). [hyper(3751,a,7210,a)]. given #6830 (H,wt=19): 7214 (x * y) * (x * (y * y)) = y * (y * ((x * y) * x)). [para(1159(a,1),7211(a,1,2,2)),flip(a)]. given #6831 (H,wt=23): 7215 T(x * (y * y),x * y) * (x * y) = y * (y * ((x * y) * x)). [hyper(2784,a,7214,a)]. given #6832 (H,wt=21): 7216 ((1 / (x * y)) \ x) * (y * x) = x * (x * ((y * x) * y)). [para(5867(a,1),7215(a,1,1))]. given #6833 (H,wt=29): 5858 x \ (((x * ((y \ 1) * (x \ 1))) * (y \ 1)) / x) = (y \ (x \ 1)) * (y \ (x \ 1)). [hyper(1135,a,5857,a)]. given #6834 (H,wt=25): 7217 x \ ((T(y \ 1,x) * (y \ 1)) / x) = (y \ (x \ 1)) * (y \ (x \ 1)). [para(2843(a,2),5858(a,1,2,1,1))]. given #6835 (H,wt=23): 7218 x \ ((y \ T(1 / y,x)) / x) = (y \ (x \ 1)) * (y \ (x \ 1)). [para(689(a,1),7217(a,1,2,1))]. given #6836 (H,wt=21): 7219 (x \ (y \ 1)) * (x \ (y \ 1)) = y \ (x \ (1 / (x * y))). [para(4933(a,1),7218(a,1,2)),flip(a)]. given #6837 (H,wt=21): 7220 (x \ (1 / y)) * (x \ (1 / y)) = y \ (x \ (1 / (x * y))). [hyper(58,a,6470,a,b,7219,a)]. given #6838 (H,wt=29): 6478 (x \ 1) * ((1 / x) * T((x * y) * z,x)) = (1 / x) * (x * (y * (z * (1 / x)))). [para(6474(a,1),1072(a,1,2)),flip(a)]. given #6839 (H,wt=26): 7221 (x \ 1) * ((1 / x) * T((x * y) * z,x)) = L(y * (z * (1 / x)),x,x). [hyper(272,a,3118,a(flip),b,6478,a),flip(a)]. given #6840 (H,wt=22): 7222 (x \ 1) * (((x * y) * z) / x) = L(y * (z * (1 / x)),x,x). [para(2780(a,1),7221(a,1,2))]. given #6841 (H,wt=22): 7223 ((x \ 1) * (x * y)) * (z / x) = L(y * (z * (1 / x)),x,x). [hyper(58,a,7052,a,b,7222,a)]. given #6842 (H,wt=22): 7224 (x * ((1 / x) * y)) * (z / x) = L(y * (z * (1 / x)),x,x). [para(3556(a,1),7223(a,1,1))]. given #6843 (H,wt=29): 6514 (x * L(x,y,z)) * L(L(u,L(x,y,z),x),x,x) = L(x * (L(x,y,z) * u),x,x). [para(87(a,1),6149(a,1,1)),flip(a)]. given #6844 (H,wt=28): 7225 (x * L(x,y,z)) * L(L(u,L(x,y,z),x),x,x) = (x \ 1) \ (L(x,y,z) * u). [hyper(272,a,2002,a(flip),b,6514,a),flip(a)]. given #6845 (H,wt=22): 7226 x * (L(x,y,z) * L(u,x,x)) = (x \ 1) \ (L(x,y,z) * u). [hyper(671,a,7225,a)]. given #6846 (H,wt=29): 6557 (x * L(x,y,z)) * L(L(u,x,L(x,y,z)),x,x) = L(L(x,y,z) * (x * u),x,x). [para(87(a,1),6513(a,1,1)),flip(a)]. given #6847 (H,wt=29): 6581 K(x,y) * (R(T(y,z),u,w) * (K(T(y,z),T(x,z)) * v5)) = R(T(y,z),u,w) * v5. [para(5243(a,1),6578(a,1,1))]. given #6848 (H,wt=25): 7227 K(x,y) * (R(T(y,z),u,w) * (K(y,x) * v5)) = R(T(y,z),u,w) * v5. [para(5243(a,1),6581(a,1,2,2,1))]. given #6849 (H,wt=29): 6597 (x * (y * L(x,z,u))) \ ((y * L(x,z,u)) * T(x,y)) = x \ R(x,y,L(x,z,u)). [hyper(272,a,6175,a(flip),b,6596,a),flip(a)]. given #6850 (H,wt=27): 7229 (x * (y * L(x,z,u))) \ ((x * y) * L(x,z,u)) = x \ R(x,y,L(x,z,u)). [para(1390(a,1),6597(a,1,2))]. given #6851 (H,wt=17): 7230 x \ R(x,y,L(x,z,u)) = a(x,y,L(x,z,u)). [hyper(588,a,7229,a),flip(a)]. given #6852 (H,wt=17): 7232 R(x,y,L(x,z,u)) / x = a(x,y,L(x,z,u)). [hyper(1687,a,7230,a)]. given #6853 (H,wt=20): 7231 K(x,y) * K(y * L(x,z,u),x) = a(x,y,L(x,z,u)). [hyper(6216,a,7230,a)]. given #6854 (H,wt=17): 7235 L(x,y,L(x,z,u)) \ x = a(x,y,L(x,z,u)). [hyper(58,a,6746,a(flip),b,7231,a)]. given #6855 (H,wt=20): 7233 a(x,y,L(x,z,u)) != w / x | R(x,y,L(x,z,u)) = w. [para(7232(a,1),41(a,1))]. given #6856 (H,wt=20): 7234 K(x,y) * a(y,x,L(y,z,u)) = K(x * L(y,z,u),y). [hyper(3894,a,7231,a)]. given #6857 (H,wt=23): 7236 K(x * L(y,z,u),y) != K(x,y) * w | a(y,x,L(y,z,u)) = w. [para(7234(a,1),38(a,1))]. given #6858 (H,wt=29): 6726 (1 / x) * ((y \ ((1 / x) / y)) / (1 / x)) = x * ((1 / x) * ((y \ (1 / x)) / y)). [para(6721(a,1),3575(a,2,2))]. given #6859 (H,wt=21): 7237 x * ((1 / x) * ((y \ (1 / x)) / y)) = (y \ (1 / x)) / y. [hyper(58,a,6836,a(flip),b,6726,a),flip(a)]. given #6860 (H,wt=29): 6781 (x \ (T(1 / x,y) * (z * x))) / x = ((1 / x) * (1 / x)) * (K(1 / x,y) * z). [hyper(272,a,749,a,b,6780,a)]. given #6861 (H,wt=29): 6845 (x \ (T(a(x \ 1,y,z) \ 1,u) \ x)) * x = T(a(x \ 1,y,z) \ 1,u) \ x. [para(5749(a,1),5807(a,1,1,2))]. given #6862 (H,wt=25): 7239 T(a(x \ 1,y,z) \ 1,u) \ x = (T(L(x,z,y) \ x,u) \ 1) * x. [para(3047(a,1),6845(a,1,1)),flip(a)]. given #6863 (H,wt=28): 7240 T(a(x \ 1,y,z) \ 1,u) \ x != w * x | T(L(x,z,y) \ x,u) \ 1 = w. [para(7239(a,2),39(a,1))]. given #6864 (H,wt=29): 6905 L(x * (x * (y * ((y * x) * x))),x,x) = L(x * (x * y),x,x) * ((y * x) * x). [para(6902(a,1),6150(a,1,1))]. given #6865 (H,wt=28): 7241 L(x * (x * y),x,x) * ((y * x) * x) = (x \ 1) \ (x * (y * ((y * x) * x))). [hyper(2010,a,6905,a),flip(a)]. given #6866 (H,wt=26): 7242 L(x * (x * y),x,x) * ((y * x) * x) = (x * x) * (y * ((y * x) * x)). [hyper(272,a,3523,a(flip),b,7241,a),flip(a)]. given #6867 (H,wt=25): 7243 ((x \ 1) \ (x * y)) * ((y * x) * x) = (x * x) * (y * ((y * x) * x)). [para(2002(a,1),7242(a,1,1))]. given #6868 (H,wt=23): 7244 ((x * x) * y) * ((y * x) * x) = (x * x) * (y * ((y * x) * x)). [para(3523(a,1),7243(a,1,1))]. given #6869 (H,wt=23): 7245 (x * x) * (y * ((y * x) * x)) = x * (x * (y * ((y * x) * x))). [hyper(58,a,6820,a(flip),b,7244,a),flip(a)]. given #6870 (H,wt=23): 7246 ((x * y) * x) * ((x * y) * x) = (x * x) * (y * ((y * x) * x)). [hyper(272,a,6903,a,b,7245,a)]. given #6871 (H,wt=23): 7247 ((x * ((x * y) * y)) * y) * y = ((y * x) * y) * ((y * x) * y). [hyper(272,a,3252,a,b,7246,a)]. given #6872 (H,wt=21): 7248 x * ((y * (y / (1 / x))) * x) = (y * ((y * x) * x)) * x. [hyper(30,a,7150,a,b,7247,a)]. given #6873 (H,wt=26): 7249 (x * x) \ ((y * ((y * x) * x)) * x) = L(T(y * (y / (1 / x)),x),x,x). [para(7248(a,1),211(a,1,2))]. given #6874 (H,wt=22): 7250 L(T(x * (x / (1 / y)),y),y,y) = (x * ((x * y) * y)) / y. [hyper(3273,a,7249,a),flip(a)]. given #6875 (H,wt=20): 7251 L(((x \ 1) \ y) * y,x,x) = (y * ((y * x) * x)) / x. [para(6174(a,1),7250(a,1,1))]. given #6876 (H,wt=18): 7252 (x * ((x * y) * y)) / y = (y * x) * L(x,y,y). [hyper(58,a,5944,a(flip),b,7251,a),flip(a)]. given #6877 (H,wt=17): 7253 (x * ((x * y) * y)) / y = ((1 / y) \ x) * x. [hyper(272,a,2004,a(flip),b,7252,a),flip(a)]. given #6878 (H,wt=29): 6981 (x * (y / z)) * (y / z) != u * ((z \ y) * (z \ y)) | L(x,y / z,y / z) = u. [para(6912(a,1),39(a,1))]. given #6879 (H,wt=29): 7051 L(x \ 1,y,y) \ (((x \ 1) * z) * u) = a(x \ 1,y,y) * ((z * (u * x)) / x). [para(7048(a,1),6141(a,1,2)),flip(a)]. given #6880 (H,wt=29): 7148 R(a(x,y * K(z,y),x),y * K(z,y),z) = L(a(x,y,x),T(y * K(z,y),z),z). [para(2685(a,1),7147(a,1,1,2)),flip(a)]. given #6881 (H,wt=23): 7255 R(a(x,y * K(z,y),x),y * K(z,y),z) = L(a(x,y,x),y,z). [para(2685(a,1),7148(a,2,2))]. given #6882 (H,wt=29): 7195 (x * ((1 / x) * y)) \ (x * ((1 / x) * (y * z))) = L(L(z,y,x),x * y,x \ 1). [para(3556(a,1),3836(a,1,2))]. given #6883 (H,wt=25): 7256 L(L(x,y,1 / z),(1 / z) * y,z) = L(L(x,y,z),z * y,z \ 1). [hyper(733,a,7195,a)]. given #6884 (H,wt=29): 7200 ((((x \ 1) \ y) \ y) \ 1) * (y / (x \ 1)) = (y / (x \ 1)) * ((y * (1 / x)) \ y). [para(2898(a,1),4122(a,1,1,1))]. given #6885 (H,wt=27): 7257 ((1 / T(x,y)) \ 1) * (y / (x \ 1)) = (y / (x \ 1)) * ((y * (1 / x)) \ y). [para(3521(a,1),7200(a,1,1,1))]. given #6886 (H,wt=23): 7258 (x / (y \ 1)) * ((x * (1 / y)) \ x) = T(y,x) * (x / (y \ 1)). [hyper(533,a,7257,a),flip(a)]. given #6887 (H,wt=21): 7260 (x / (y \ 1)) * ((x * (1 / y)) \ x) = (T(y,x) * x) * y. [hyper(272,a,4294,a(flip),b,7258,a),flip(a)]. given #6888 (H,wt=19): 7261 (x / (y \ 1)) * ((x * (1 / y)) \ x) = (x * y) * y. [para(2778(a,1),7260(a,2,1))]. given #6889 (H,wt=21): 7262 (x / (y \ 1)) * T(x / (y \ 1),x) = x * ((x * y) * y). [para(7261(a,1),4690(a,1,2)),flip(a)]. given #6890 (H,wt=19): 7263 (x \ 1) \ (y * (y / (x \ 1))) = y * ((y * x) * x). [hyper(58,a,6948,a(flip),b,7262,a)]. given #6891 (H,wt=21): 7264 x * ((y * (y / (x \ 1))) / x) = (y * ((y * x) * x)) / x. [hyper(113,a,7263,a(flip),b,3480,a),flip(a)]. given #6892 (H,wt=19): 7265 x * ((y * (y / (x \ 1))) / x) = ((1 / x) \ y) * y. [hyper(272,a,7253,a(flip),b,7264,a),flip(a)]. given #6893 (H,wt=17): 7266 x * (x * ((x \ y) * y)) = ((1 / x) \ y) * y. [para(1164(a,1),7265(a,1,2))]. given #6894 (H,wt=29): 7204 (x * ((x \ 1) \ x)) * T(y,(x \ (1 / x)) / x) = y / (((x \ (1 / x)) \ x) \ 1). [para(4045(a,1),4679(a,1,1))]. given #6895 (H,wt=27): 7267 (x * (x * x)) * T(y,(x \ (1 / x)) / x) = y / (((x \ (1 / x)) \ x) \ 1). [para(3017(a,1),7204(a,1,1,2))]. given #6896 (H,wt=27): 7268 (x * (x * x)) * T(y,x \ (x \ (x \ 1))) = y / (((x \ (1 / x)) \ x) \ 1). [para(5215(a,1),7267(a,1,2))]. given #6897 (H,wt=27): 7269 x * ((T(y,x \ (x \ (x \ 1))) * x) * x) = y / (((x \ (1 / x)) \ x) \ 1). [hyper(4513,a,7268,a)]. given #6898 (H,wt=27): 7270 x * ((x * x) * T(y,x \ (x \ (x \ 1)))) = y / (((x \ (1 / x)) \ x) \ 1). [hyper(58,a,3280,a(flip),b,7269,a)]. given #6899 (H,wt=25): 7271 x * ((x * x) * T(y,x \ (x \ (x \ 1)))) = y / (x \ (x \ (1 / x))). [para(4288(a,1),7270(a,2,2))]. given #6900 (H,wt=19): 7272 x / (y \ (y \ (1 / y))) = y * ((y * y) * T(x,y)). [para(7137(a,1),7271(a,1,2,2)),flip(a)]. given #6901 (H,wt=17): 7273 x / (y \ (y \ (1 / y))) = y * ((y * x) * y). [para(1159(a,1),7272(a,2,2))]. given #6902 (H,wt=29): 7209 K(x,(y / z) \ (u \ 1)) / (u * (y / z)) = T(((y \ 1) \ (z \ 1)) \ (1 / u),x). [para(6134(a,1),4916(a,1,1))]. given #6903 (H,wt=29): 7238 (x \ (T(1 / x,y) * (z * x))) / x = ((x \ 1) * (x \ 1)) * (K(1 / x,y) * z). [para(4115(a,1),6781(a,2,1))]. given #6904 (H,wt=27): 7274 (x \ (T(1 / x,y) * (z * x))) / x = (x \ (1 / x)) * (K(1 / x,y) * z). [para(684(a,1),7238(a,2,1))]. given #6905 (H,wt=27): 7275 (x \ (T(1 / x,y) * (z * x))) / x = (x \ (1 / x)) * (K(y,1 / x) * z). [para(28(a,1),7274(a,2,2,1))]. given #6906 (H,wt=27): 7276 (x \ (T(1 / x,y) * (z * x))) / x = (x \ (1 / x)) * (K(y,x \ 1) * z). [para(2369(a,1),7275(a,2,2,1))]. given #6907 (H,wt=27): 7277 (x \ (T(1 / x,y) * (z * x))) / x = (x \ 1) * (x \ (K(y,x \ 1) * z)). [hyper(272,a,3787,a(flip),b,7276,a),flip(a)]. given #6908 (H,wt=25): 7278 (x \ (T(1 / x,y) * (z * x))) / x = (x \ 1) * (T(x,x * y) \ z). [para(3971(a,1),7277(a,2,2))]. given #6909 (H,wt=25): 7279 (((x \ T(1 / x,y)) * z) * x) / x = (x \ 1) * (T(x,x * y) \ z). [para(6701(a,1),7278(a,1,1))]. given #6910 (H,wt=21): 7280 (x \ 1) * (T(x,x * y) \ z) = (x \ T(1 / x,y)) * z. [hyper(279,a,7279,a),flip(a)]. given #6911 (H,wt=19): 7282 (x \ T(1 / x,y)) * z = T(x \ 1,y) * (x \ z). [hyper(58,a,4577,a(flip),b,7280,a),flip(a)]. given #6912 (H,wt=19): 7283 (x \ T(1 / x,y)) \ z = x * (T(x \ 1,y) \ z). [hyper(112,a,67,a(flip),b,7282,a)]. given #6913 (H,wt=21): 7287 ((x \ 1) * T(x \ 1,y)) \ z = x * (T(x \ 1,y) \ z). [para(756(a,2),7283(a,1,1))]. given #6914 (H,wt=23): 7289 ((x \ 1) * T(x \ 1,x \ y)) \ z = x * ((T(x,y) \ 1) \ z). [para(3389(a,1),7287(a,2,2,1))]. given #6915 (H,wt=21): 7290 ((x \ 1) * (T(x,y) \ 1)) \ z = x * ((T(x,y) \ 1) \ z). [para(3389(a,1),7289(a,1,1,2))]. given #6916 (H,wt=19): 7291 (x \ (1 / T(x,y))) \ z = x * ((T(x,y) \ 1) \ z). [para(4587(a,1),7290(a,1,1))]. given #6917 (H,wt=24): 7286 T(x \ 1,y) * (x \ ((y \ 1) \ 1)) != z | x \ (1 / (x / y)) = z. [para(7282(a,1),7207(a,1))]. given #6918 (H,wt=25): 7285 T((x \ y) \ 1,z) * ((x \ y) \ u) = ((y \ x) * T(y \ x,z)) * u. [para(6855(a,1),7282(a,1,1)),flip(a)]. given #6919 (H,wt=21): 7292 ((x \ y) * T(x \ y,y)) * z = (y \ x) \ ((y / x) * z). [hyper(58,a,6590,a(flip),b,7285,a),flip(a)]. given #6920 (H,wt=19): 7293 (x \ y) \ ((x / y) * z) = (y \ (x * (x / y))) * z. [para(6950(a,1),7292(a,1,1)),flip(a)]. given #6921 (H,wt=25): 7288 (((x / y) \ 1) * T((x / y) \ 1,y)) \ z = (x / y) * ((x \ y) \ z). [para(2257(a,1),7287(a,2,2,1))]. given #6922 (H,wt=19): 7294 (x \ (y * (y / x))) \ z = (x / y) * ((x \ y) \ z). [para(6953(a,1),7288(a,1,1))]. given #6923 (H,wt=19): 7295 (x \ (y * (y / x))) * z = (x \ y) * ((x / y) \ z). [hyper(504,a,7294,a)]. given #6924 (H,wt=19): 7297 (x \ y) \ ((x / y) * z) = (y \ x) * ((y / x) \ z). [hyper(58,a,7293,a,b,7295,a)]. given #6925 (H,wt=19): 7299 (x \ y) * ((y \ x) * ((y / x) \ z)) = (x / y) * z. [hyper(114,a,7295,a(flip),b,7293,a)]. given #6926 (H,wt=19): 7300 (x / y) * ((y / x) * z) = (x \ y) * ((y \ x) * z). [hyper(799,a,7297,a),flip(a)]. given #6927 (H,wt=21): 7301 (x / y) * ((y / x) * K(x,z)) = (x \ y) * (y \ T(x,z)). [para(5702(a,1),7300(a,2,2))]. given #6928 (H,wt=19): 7302 (x / y) * (y / T(x,z)) = (x \ y) * (y \ T(x,z)). [para(3987(a,1),7301(a,1,2))]. given #6929 (H,wt=27): 7284 (x \ (1 / (y \ T(1 / y,z)))) \ 1 = T(y \ 1,z) * (y \ ((x \ 1) \ 1)). [hyper(58,a,4097,a,b,7282,a)]. given #6930 (H,wt=29): 7254 (L(x,y,y) \ 1) \ (((x \ 1) * z) * u) = a(x \ 1,y,y) * ((z * (u * x)) / x). [para(3798(a,1),7051(a,1,1))]. given #6931 (H,wt=27): 7305 (L(x,y,y) \ 1) \ (((x \ 1) * z) * u) = a(x,y,y) * ((z * (u * x)) / x). [para(4246(a,1),7254(a,2,1))]. given #6932 (H,wt=29): 7298 (((x \ y) * (y \ (x * (x / y)))) * z) * (y \ x) = (y / x) \ (z * ((x \ y) \ 1)). [hyper(6880,a,7295,a(flip))]. given #6933 (H,wt=21): 7306 (x / y) \ (z * ((y \ x) \ 1)) = ((y / x) * z) * (x \ y). [para(6949(a,1),7298(a,1,1,1)),flip(a)]. given #6934 (H,wt=30): 3487 R(x,(y / z) \ z,((y / z) \ z) \ z) = ((x * ((y / z) \ z)) * ((y \ z) \ 1)) / z. [para(3464(a,1),92(a,1,1,2)),flip(a)]. given #6935 (H,wt=30): 4270 ((x * y) * ((y \ 1) * (1 / z))) / (1 / L(z,y,y)) = R(x,y,y \ (1 / L(z,y,y))). [para(3793(a,1),92(a,1,1,2))]. given #6936 (H,wt=30): 4723 (((x * y) * z) * T(((x * y) * z) \ (y * z),u)) / (y * z) = K(u,1 / R(x,y,z)). [para(15(a,2),4667(a,2,2,2))]. given #6937 (H,wt=26): 7307 (((x * y) * T((x * y) \ y,z)) * u) / (y * u) = K(z,1 / R(x,y,u)). [para(1298(a,1),4723(a,1,1))]. given #6938 (H,wt=24): 7308 ((x * K(y,T(z,x) \ 1)) * u) / (x * u) = K(y,1 / R(z,x,u)). [para(3151(a,1),7307(a,1,1,1))]. given #6939 (H,wt=21): 7309 R(T(K(x,T(y,z) \ 1),z),z,u) = K(x,1 / R(y,z,u)). [hyper(2850,a,7308,a)]. given #6940 (H,wt=21): 7310 R(K(x,T(T(y,z) \ 1,z)),z,u) = K(x,1 / R(y,z,u)). [para(5238(a,2),7309(a,1,1))]. given #6941 (H,wt=17): 7311 R(K(x,y \ 1),z,u) = K(x,1 / R(y,z,u)). [para(4449(a,1),7310(a,1,1))]. given #6942 (H,wt=17): 7312 R(K(x,y \ 1),z,u) = K(x,R(y,z,u) \ 1). [hyper(272,a,2369,a(flip),b,7311,a),flip(a)]. given #6943 (H,wt=14): 7314 K(x,R(y,x,z) \ 1) = K(x,y \ 1). [hyper(58,a,6248,a(flip),b,7312,a),flip(a)]. given #6944 (H,wt=17): 7315 K(x,R(y \ 1,z,u) \ 1) = R(K(x,y),z,u). [para(2372(a,1),7312(a,1,1)),flip(a)]. given #6945 (H,wt=17): 7318 R(K(x,y),z,u) \ w = R(K(y,x),z,u) * w. [para(7315(a,1),4816(a,1,1)),flip(a)]. given #6946 (H,wt=15): 7320 R(K(x,y),z,u) \ 1 = R(K(y,x),z,u). [hyper(1918,a,7318,a)]. given #6947 (H,wt=15): 7322 K(x,R(y,y \ z,u)) = R(K(x,y),z,u). [hyper(6247,a,7320,a)]. given #6948 (H,wt=15): 7324 R(K(x,y),y * z,u) = K(x,R(y,z,u)). [para(4(a,1),7322(a,1,2,2)),flip(a)]. given #6949 (H,wt=10): 7326 K(x,R(y,z,x)) = K(x,y). [hyper(58,a,5747,a(flip),b,7324,a),flip(a)]. given #6950 (H,wt=14): 7329 K(x,K(y,R(x,z,u)) * w) = K(x,w). [para(7324(a,1),5386(a,1,2,1))]. given #6951 (H,wt=14): 7333 K(x,y * K(z,R(x,u,w))) = K(x,y). [para(5225(a,1),7329(a,1,2))]. given #6952 (H,wt=15): 7331 K(x,(y / x) / z) = K(x,y / (z * x)). [para(258(a,1),7326(a,1,2)),flip(a)]. given #6953 (H,wt=15): 7332 K(x,(y * x) / z) = K(x,y / (z / x)). [para(463(a,1),7326(a,1,2))]. given #6954 (H,wt=15): 7336 K(x,(x \ y) / z) = K(x,y / (z * x)). [hyper(58,a,5766,a(flip),b,7331,a)]. given #6955 (H,wt=15): 7337 K(x,(y * x) / z) = K(x,y / (x \ z)). [hyper(272,a,5383,a(flip),b,7332,a),flip(a)]. given #6956 (H,wt=15): 7338 K(x,(x \ y) / (x \ z)) = K(x,y / z). [hyper(272,a,5842,a(flip),b,7336,a),flip(a)]. given #6957 (H,wt=15): 7339 K(x,(x * y) / z) = K(x,y / (x \ z)). [para(4(a,1),7338(a,1,2,1)),flip(a)]. given #6958 (H,wt=16): 7335 K(x,T(y,T(z,R(x,u,w)))) = K(x,T(y,z)). [para(5312(a,1),7333(a,1,2))]. given #6959 (H,wt=17): 7319 (x * R(K(y,z),u,w)) \ x = R(K(z,y),u,w). [hyper(4350,a,7318,a)]. given #6960 (H,wt=18): 7321 R(K(x,y),z,u) \ 1 != w | R(K(y,x),z,u) = w. [para(7318(a,2),119(a,1)),flip(b)]. given #6961 (H,wt=18): 7325 K(x,(y * z) / ((u \ y) * z)) = R(K(x,u),y,z). [para(91(a,1),7322(a,1,2))]. given #6962 (H,wt=18): 7342 R(K(x,y / z),y,u) = K(x,(y * u) / (z * u)). [para(74(a,1),7325(a,1,2,2,1)),flip(a)]. given #6963 (H,wt=18): 7343 R(K(x,y / (z / u)),y,u) = K(x,(y * u) / z). [para(176(a,1),7325(a,1,2,2)),flip(a)]. given #6964 (H,wt=15): 7345 K(x,(x * y) / z) = K(x,x / (z / y)). [hyper(58,a,6248,a(flip),b,7343,a),flip(a)]. given #6965 (H,wt=15): 7346 K(x,(x * y) / z) = K(x,(z / y) \ x). [hyper(272,a,4457,a(flip),b,7345,a),flip(a)]. given #6966 (H,wt=15): 7348 K(x,y / (x \ z)) = K(x,(z / y) \ x). [hyper(58,a,7339,a(flip),b,7346,a)]. given #6967 (H,wt=15): 7350 K(x,(y * x) / z) = K(x,(z / y) \ x). [hyper(58,a,7337,a,b,7348,a)]. given #6968 (H,wt=17): 7351 K(x,T(y \ (z * x),y)) = K(x,(y / z) \ x). [hyper(5343,a,7350,a)]. given #6969 (H,wt=18): 7347 K(x,(x * y) / z) != u | K(x,(z / y) \ x) = u. [para(7345(a,2),5354(a,1))]. given #6970 (H,wt=19): 7316 K(x,R(y / z,u,w) \ 1) = R(K(x,z / y),u,w). [para(4452(a,1),7312(a,1,1)),flip(a)]. given #6971 (H,wt=20): 7317 K(x,R(R(y,x,z),u,w) \ 1) = K(x,R(y,u,w) \ 1). [para(26(a,1),7314(a,1,2,1))]. given #6972 (H,wt=20): 7341 (x * R(K(y,z),u,w)) * R(K(z,y),u,w) != v5 | x = v5. [para(7319(a,1),230(a,1,2))]. given #6973 (H,wt=20): 7344 R(K(x,(y / z) / u),y / z,z) = K(x,y / (u * z)). [para(7(a,1),7342(a,2,2,1))]. given #6974 (H,wt=21): 7328 R(K(x,y),T(y,z) * u,w) = K(T(x,z),R(T(y,z),u,w)). [para(5243(a,1),7324(a,1,1))]. given #6975 (H,wt=17): 7354 R(K(x,y),T(y,z) * u,w) = K(x,R(y,u,w)). [hyper(272,a,5285,a(flip),b,7328,a),flip(a)]. given #6976 (H,wt=15): 7358 R(K(x,y),z * y,u) = K(x,R(y,z,u)). [para(2778(a,1),7354(a,1,2))]. given #6977 (H,wt=17): 7357 K(x,R(y,T(y,z) \ u,w)) = R(K(x,y),u,w). [para(5(a,1),7354(a,1,2)),flip(a)]. given #6978 (H,wt=20): 7355 R(K(x,y),T(y,z) * u,w) != v5 | K(x,R(y,u,w)) = v5. [para(7328(a,2),5346(a,1))]. given #6979 (H,wt=18): 7360 R(K(x,y),y * z,u) != w | K(x,R(y,z,u)) = w. [para(97(a,1),7355(a,1,2,1))]. given #6980 (H,wt=21): 7334 K(x,y / (z / R(x,u,w))) = K(x,y / (R(x,u,w) \ z)). [para(3706(a,1),7333(a,1,2))]. given #6981 (H,wt=21): 7340 K(x,T(y,z / R(x,u,w))) = K(x,T(y,R(x,u,w) \ z)). [para(100(a,1),7335(a,1,2,2)),flip(a)]. given #6982 (H,wt=21): 7349 K(x,(L(y,z,u) / y) \ x) = K(x,(x / L(y,z,u)) * y). [para(1381(a,1),7346(a,1,2)),flip(a)]. given #6983 (H,wt=21): 7359 K(R(x,T(x,y) \ z,u),w) = (v5 * R(K(w,x),z,u)) \ v5. [para(7357(a,1),3899(a,1,1,2)),flip(a)]. given #6984 (H,wt=17): 7362 K(R(x,T(x,y) \ z,u),w) = R(K(x,w),z,u). [hyper(272,a,7319,a(flip),b,7359,a),flip(a)]. given #6985 (H,wt=19): 7363 R(K(x,y),K(x,z) * u,w) = K(R(x,x \ u,w),y). [para(3191(a,1),7362(a,1,1,2)),flip(a)]. given #6986 (H,wt=17): 7364 R(K(x,y),K(x,z) * u,w) = R(K(x,y),u,w). [hyper(272,a,6240,a(flip),b,7363,a),flip(a)]. given #6987 (H,wt=15): 7365 R(K(x,y),T(z,x),u) = R(K(x,y),z,u). [para(2668(a,1),7364(a,1,2)),flip(a)]. given #6988 (H,wt=21): 7361 K(x,(y \ L(y,z,u)) \ x) = K(x,(x / L(y,z,u)) * y). [para(2501(a,1),7349(a,1,2,1))]. given #6989 (H,wt=22): 7327 K(x,R(y,z,u)) * ((y * z) * u) = (K(x,y) * (y * z)) * u. [para(7324(a,1),93(a,1,1))]. given #6990 (H,wt=23): 7330 R(K(x,y),T(y,T(z,u)) * u,w) = K(x,R(y,u * K(y,z),w)). [para(5316(a,2),7324(a,1,2))]. given #6991 (H,wt=17): 7366 K(x,R(y,z * K(y,u),w)) = K(x,R(y,z,w)). [hyper(7355,a,7330,a),flip(a)]. given #6992 (H,wt=17): 7368 K(x,R(y,K(y,z) * u,w)) = K(x,R(y,u,w)). [para(5236(a,1),7366(a,1,2,2))]. given #6993 (H,wt=21): 7369 K(R(x,K(x,y) * z,u),w) = (v5 * K(w,R(x,z,u))) \ v5. [para(7368(a,1),3899(a,1,1,2)),flip(a)]. given #6994 (H,wt=17): 7370 K(R(x,K(x,y) * z,u),w) = K(R(x,z,u),w). [hyper(272,a,3899,a(flip),b,7369,a),flip(a)]. given #6995 (H,wt=17): 7371 K(R(x,K(y,x) * z,u),w) = K(R(x,z,u),w). [para(28(a,1),7370(a,1,1,2,1))]. given #6996 (H,wt=24): 7353 R(K(x,(y / (z / u)) \ x),z / u,u) = K(x,z / ((x \ y) * u)). [para(7348(a,1),7344(a,1,1))]. given #6997 (H,wt=26): 7323 R(K(T(T(x,y),y * z),u),y,z) = ((y * z) \ ((y * K(u,x)) * z)) \ 1. [para(6733(a,1),7320(a,1,1)),flip(a)]. given #6998 (H,wt=26): 7372 R(K(T(x,y),T(z,y * u)),y,u) = ((y * u) \ ((y * K(z,x)) * u)) \ 1. [para(5239(a,1),7323(a,1,1))]. given #6999 (H,wt=26): 7373 R(K(x,T(T(y,z),z * u)),z,u) = ((z * u) \ ((z * K(y,x)) * u)) \ 1. [para(5264(a,1),7372(a,1,1))]. given #7000 (H,wt=25): 7374 ((x * y) \ ((x * K(z,u)) * y)) \ 1 = (x * y) \ ((x * K(u,z)) * y). [hyper(58,a,6733,a(flip),b,7373,a),flip(a)]. given #7001 (H,wt=25): 7375 K(((x / y) * z) \ (x * z),u) \ 1 = (x * z) \ ((x * K(u,y)) * z). [para(6583(a,2),7374(a,1,1))]. given #7002 (H,wt=23): 7376 K(x,((y / z) * u) \ (y * u)) = (y * u) \ ((y * K(x,z)) * u). [hyper(2885,a,7375,a)]. given #7003 (H,wt=28): 7352 K(x,R(y / x,x * z,u) \ 1) = K(x,(((y * z) * u) / ((x * z) * u)) \ 1). [para(466(a,1),7317(a,1,2,1)),flip(a)]. given #7004 (H,wt=26): 7377 K(x,R(y / x,x * z,u) \ 1) = K(x,((x * z) * u) / ((y * z) * u)). [hyper(272,a,4452,a(flip),b,7352,a),flip(a)]. given #7005 (H,wt=24): 7378 R(K(x,x / y),x * z,u) = K(x,((x * z) * u) / ((y * z) * u)). [hyper(58,a,7316,a(flip),b,7377,a)]. given #7006 (H,wt=24): 7379 R(K(x,y \ x),x * z,u) = K(x,((x * z) * u) / ((y * z) * u)). [para(4457(a,1),7378(a,1,1))]. given #7007 (H,wt=22): 7380 K(x,((x * y) * z) / ((u * y) * z)) = K(R(x,y,z),u \ x). [hyper(58,a,6238,a(flip),b,7379,a),flip(a)]. given #7008 (H,wt=24): 7381 K(R(x,x \ y,z),u \ x) = K(x,(y * z) / ((u * (x \ y)) * z)). [para(5(a,1),7380(a,1,2,1,1)),flip(a)]. given #7009 (H,wt=22): 7383 K(x,(y * z) / ((u * (x \ y)) * z)) = R(K(x,u \ x),y,z). [hyper(58,a,6240,a(flip),b,7381,a),flip(a)]. given #7010 (H,wt=30): 6348 (x * (y \ (y \ 1))) * K(z,L(1 / y,y \ 1,x)) = x * ((y \ 1) * T(1 / y,z)). [para(3034(a,1),6277(a,1,1,2))]. given #7011 (H,wt=28): 7384 (x \ (x \ y)) * K(z,L(1 / x,x \ 1,y)) = y * ((x \ 1) * T(1 / x,z)). [para(4382(a,1),6348(a,1,1))]. given #7012 (H,wt=30): 6823 R(K(x,(y / z) / (u * x)),y / z,z) = ((u * (x * ((u \ (y / z)) / x))) * z) / y. [para(6822(a,1),463(a,1,1))]. given #7013 (H,wt=25): 7385 ((x * (y * ((x \ (z / u)) / y))) * u) / z = K(y,z / ((x * y) * u)). [hyper(58,a,7344,a(flip),b,6823,a),flip(a)]. given #7014 (H,wt=30): 7059 (1 / x) * y != (x * z) * T(x * z,1 / x) | (x * z) * (x * ((x \ 1) \ z)) = y. [para(4686(a,1),38(a,1)),flip(a)]. given #7015 (H,wt=31): 2625 (x * (y \ z)) * (u * (((x * (y \ z)) \ z) / u)) = ((u * ((y / x) / u)) * x) * (y \ z). [hyper(58,a,2214,a(flip),b,2624,a)]. given #7016 (H,wt=31): 3411 R(K(x,y),x \ y,L(z,x \ y,K(x,y))) = (K(x,y) * ((x \ y) * z)) / ((x \ y) * z). [para(3410(a,1),428(a,1,2,2)),flip(a)]. given #7017 (H,wt=19): 7387 R(K(x,y),x \ y,L(z,x \ y,K(x,y))) = K(x,y). [hyper(272,a,6,a(flip),b,3411,a),flip(a)]. given #7018 (H,wt=12): 7389 R(K(x,y),x \ y,z) = K(x,y). [para(424(a,1),7387(a,1,3))]. given #7019 (H,wt=26): 7391 R(K(x,R(y,x \ 1,x)),T(y * (1 / x),x),z) = K(x,R(y,x \ 1,x)). [para(1838(a,1),7389(a,1,2))]. given #7020 (H,wt=21): 7392 R(K(x,y),T(y * (1 / x),x),z) = K(x,R(y,x \ 1,x)). [para(7326(a,1),7391(a,1,1))]. given #7021 (H,wt=19): 7393 R(K(x,y),y * (1 / x),z) = K(x,R(y,x \ 1,x)). [hyper(58,a,7365,a(flip),b,7392,a)]. given #7022 (H,wt=19): 7395 R(K(x,y),y * (x \ 1),z) = K(x,R(y,x \ 1,x)). [hyper(58,a,2478,a(flip),b,7393,a)]. given #7023 (H,wt=17): 7396 K(x,R(y,x \ 1,z)) = K(x,R(y,x \ 1,x)). [hyper(7360,a,7395,a)]. given #7024 (H,wt=12): 7402 K(x,R(y,x \ 1,z)) = K(x,y). [hyper(272,a,7326,a(flip),b,7396,a),flip(a)]. given #7025 (H,wt=20): 7405 T(x \ 1,R(y,(x \ 1) \ 1,z)) = x \ K(x \ 1,y). [hyper(112,a,7402,a(flip),b,2671,a),flip(a)]. given #7026 (H,wt=18): 7406 T(x \ 1,R(y,(x \ 1) \ 1,z)) = T(x \ 1,y). [hyper(272,a,2675,a(flip),b,7405,a),flip(a)]. given #7027 (H,wt=14): 7407 T(x \ 1,R(y,x,z)) = T(x \ 1,y). [para(2477(a,1),7406(a,1,2))]. given #7028 (H,wt=31): 3519 ((x \ y) \ y) \ T(1 / ((x \ y) \ y),z) = T(1 / x,y) * T(((x \ y) \ y) \ 1,z). [para(3492(a,1),756(a,1,1)),flip(a)]. given #7029 (H,wt=29): 7409 ((x \ y) \ y) \ T(1 / ((x \ y) \ y),z) = T(1 / x,y) * T(T(1 / x,y),z). [para(3492(a,1),3519(a,2,2,1))]. given #7030 (H,wt=27): 7410 ((x \ y) \ y) \ T(1 / ((x \ y) \ y),z) = (1 / x) * T(1 / x,T(z,y)). [hyper(272,a,5430,a(flip),b,7409,a),flip(a)]. given #7031 (H,wt=25): 7411 ((x \ y) \ y) \ T(1 / ((x \ y) \ y),z) = x \ T(1 / x,T(z,y)). [hyper(272,a,6697,a(flip),b,7410,a),flip(a)]. given #7032 (H,wt=23): 7412 (x \ (y \ x)) * T(x \ (y \ x),z) = y \ T(1 / y,T(z,x)). [hyper(58,a,6855,a(flip),b,7411,a)]. given #7033 (H,wt=31): 4079 K(a(1 / x,y,z),u) * T(x,a(1 / x,y,z)) = T(a(1 / x,y,z),u) \ L(x,z,y). [para(2520(a,2),3948(a,1,2)),flip(a)]. given #7034 (H,wt=31): 4145 (1 / T(x * y,x)) * (T(1 / y,x) / x) = (x \ T(1 / y,x)) * (x \ T(1 / y,x)). [para(3036(a,1),4115(a,1,1))]. given #7035 (H,wt=31): 4337 ((1 / x) * (1 / x)) * ((1 / (1 / x)) \ (y * y)) = ((1 / x) * ((y * y) / x)) * (1 / x). [para(3329(a,1),2922(a,2,1,2))]. given #7036 (H,wt=31): 4702 (T(x,y \ 1) * T(y,y \ 1)) / (x / y) = T(y,y \ 1) * T(T(y,y \ 1),x / y). [para(3786(a,1),4693(a,1,1,1))]. given #7037 (H,wt=29): 7415 T(x * T(y,y \ 1),y) / (x / y) = T(y,y \ 1) * T(T(y,y \ 1),x / y). [para(4834(a,1),4702(a,1,1))]. given #7038 (H,wt=25): 7416 ((x \ 1) \ y) / (y / x) = T(x,x \ 1) * T(T(x,x \ 1),y / x). [para(2769(a,1),7415(a,1,1))]. given #7039 (H,wt=25): 7417 ((x \ 1) \ y) / (y / x) = T(x,x \ 1) * T(T(x,x \ 1),x \ y). [para(6462(a,1),7416(a,2,2))]. given #7040 (H,wt=25): 7418 ((x \ 1) \ y) / (y / x) = T(x,x \ 1) * ((x \ 1) \ K(x,x \ y)). [para(2876(a,1),7417(a,2,2))]. given #7041 (H,wt=21): 7419 ((x \ 1) \ y) / (y / x) = T(x,x \ 1) * T(x,x * y). [para(4833(a,1),7418(a,2,2))]. given #7042 (H,wt=21): 7420 ((x \ 1) \ y) / (y / x) = T(x,x \ 1) * T(x,y * x). [para(2315(a,2),7419(a,2,2))]. given #7043 (H,wt=19): 7421 T(x * T(x,y * x),x) = ((x \ 1) \ y) / (y / x). [hyper(272,a,4834,a(flip),b,7420,a)]. given #7044 (H,wt=19): 7422 (K(x,y * x) / x) \ x = ((x \ 1) \ y) / (y / x). [hyper(58,a,4735,a(flip),b,7421,a)]. given #7045 (H,wt=17): 7423 ((x \ 1) \ y) / (y / x) = T(1 / x,y) \ x. [para(3335(a,1),7422(a,1,1)),flip(a)]. given #7046 (H,wt=31): 4711 (((T(x,y) \ 1) \ 1) * (y / (T(x,y) \ 1))) \ 1 = ((T(x,y) \ 1) \ 1) \ (x \ (y \ 1)). [para(4347(a,1),4597(a,2,2))]. given #7047 (H,wt=29): 7424 (((T(x,y) \ 1) \ 1) * ((1 / x) \ y)) \ 1 = ((T(x,y) \ 1) \ 1) \ (x \ (y \ 1)). [para(3482(a,1),4711(a,1,1,2))]. given #7048 (H,wt=31): 4842 ((x * (1 / (T(y,x) \ 1))) \ 1) * (T(y,x) \ 1) = ((T(y,x) \ 1) \ 1) \ (y \ (x \ 1)). [para(4347(a,1),4840(a,2,2))]. given #7049 (H,wt=27): 7425 ((T(x,y) \ 1) \ 1) \ (x \ (y \ 1)) = ((y * T(x,y)) \ 1) * (T(x,y) \ 1). [para(72(a,1),4842(a,1,1,1,2)),flip(a)]. given #7050 (H,wt=25): 7427 ((T(x,y) \ 1) \ 1) \ (x \ (y \ 1)) = ((x * y) \ 1) * (T(x,y) \ 1). [para(98(a,1),7425(a,2,1,1))]. given #7051 (H,wt=31): 4906 (((x \ (y \ 1)) \ (1 / (x \ (y \ 1)))) / 1) \ 1 = ((x \ (y \ 1)) \ 1) \ ((1 / x) / y). [para(4894(a,1),3474(a,2,2))]. given #7052 (H,wt=25): 7428 ((x \ (y \ 1)) \ 1) \ ((1 / x) / y) = (((x * y) * (x * y)) / 1) \ 1. [para(6426(a,1),4906(a,1,1,1)),flip(a)]. given #7053 (H,wt=23): 7429 ((x \ (y \ 1)) \ 1) \ ((1 / x) / y) = (x * y) \ ((x * y) \ 1). [hyper(272,a,3455,a(flip),b,7428,a),flip(a)]. given #7054 (H,wt=26): 7430 ((x \ (y \ 1)) \ 1) \ ((1 / x) / y) != z | x \ (y \ ((y * x) \ 1)) = z. [para(7429(a,2),5921(a,1))]. given #7055 (H,wt=31): 4986 (((x / y) \ 1) \ 1) \ (z * (1 / (y \ x))) = (((x / y) \ 1) * z) * T((x / y) \ 1,x). [para(3362(a,1),4985(a,1,2,2))]. given #7056 (H,wt=31): 4987 ((1 / (x / y)) \ 1) \ (z * ((y \ x) \ 1)) = ((1 / (x / y)) * z) * T(1 / (x / y),x). [para(3469(a,1),4985(a,1,2,2))]. given #7057 (H,wt=27): 7432 ((1 / (x / y)) * z) * T(1 / (x / y),x) = (x / y) \ (z * ((y \ x) \ 1)). [para(74(a,1),4987(a,1,1)),flip(a)]. given #7058 (H,wt=25): 7434 ((1 / (x / y)) * z) * ((y \ x) \ 1) = (x / y) \ (z * ((y \ x) \ 1)). [para(3469(a,1),7432(a,1,2))]. given #7059 (H,wt=23): 7435 ((1 / (x / y)) * z) * ((y \ x) \ 1) = ((y / x) * z) * (x \ y). [hyper(272,a,7306,a(flip),b,7434,a),flip(a)]. given #7060 (H,wt=31): 5034 (T(x,y) * K(y,z)) * (T(y,z) * ((y * x) / T(y,z))) = (T(y,z) \ (y * x)) * (y * x). [para(3998(a,1),5033(a,1,1))]. given #7061 (H,wt=31): 5060 (x / y) \ (y * ((y \ x) * ((y \ x) \ x))) = ((y \ x) \ x) * T((y \ x) \ x,x / y). [hyper(112,a,4980,a(flip),b,5011,a)]. given #7062 (H,wt=23): 7437 ((x \ y) \ y) * T((x \ y) \ y,y / x) = (y / x) \ (x * y). [para(5(a,1),5060(a,1,2,2)),flip(a)]. given #7063 (H,wt=23): 7439 ((x \ y) \ y) * ((T(x,y / x) \ y) \ y) = (y / x) \ (x * y). [para(5427(a,1),7437(a,1,2))]. given #7064 (H,wt=19): 7440 ((x \ y) \ y) * ((y / x) \ y) = (y / x) \ (x * y). [para(2842(a,1),7439(a,1,2,1))]. given #7065 (H,wt=15): 7441 (x / y) \ (y * x) = ((y \ x) \ x) * y. [para(74(a,1),7440(a,1,2)),flip(a)]. given #7066 (H,wt=15): 7442 (x / y) \ (y * x) = y * ((y \ x) \ x). [hyper(272,a,4503,a(flip),b,7441,a),flip(a)]. given #7067 (H,wt=31): 5153 (T(x,y) \ (1 / T(x,y))) / T(y,T(x,y) \ 1) = T(x \ (y \ 1),y) * (T(x,y) \ 1). [para(4353(a,1),3386(a,2,1))]. given #7068 (H,wt=27): 7443 (x \ (1 / x)) / T(y,T(x,y) \ 1) = T(x \ (y \ 1),y) * (T(x,y) \ 1). [para(3970(a,1),5153(a,1,1))]. given #7069 (H,wt=25): 7445 (x \ (1 / x)) / T(y,x \ 1) = T(x \ (y \ 1),y) * (T(x,y) \ 1). [para(5372(a,1),7443(a,1,2))]. given #7070 (H,wt=21): 7446 T(x \ (y \ 1),y) * (T(x,y) \ 1) = x \ (1 / (x * y)). [hyper(5154,a,7445,a),flip(a)]. given #7071 (H,wt=31): 6488 L(x \ 1,y,y) \ T(z * (u * (1 / x)),x) = a(x \ 1,y,y) * (x \ ((x * z) * u)). [para(6482(a,1),6143(a,1,2))]. given #7072 (H,wt=31): 6532 (x \ (T(y,x) \ 1)) * (x * (T(y,x) \ 1)) = x * (T(y \ (x \ 1),x) * (T(y,x) \ 1)). [para(4353(a,1),6530(a,2,2,1))]. given #7073 (H,wt=29): 7448 x * (T(y \ (x \ 1),x) * (T(y,x) \ 1)) = (y \ (x \ 1)) * (x * (T(y,x) \ 1)). [para(4347(a,1),6532(a,1,1)),flip(a)]. given #7074 (H,wt=25): 7449 x * (T(y \ (x \ 1),x) * (T(y,x) \ 1)) = (y \ (x \ 1)) * (y \ x). [para(3006(a,1),7448(a,2,2))]. given #7075 (H,wt=19): 7450 (x \ (y \ 1)) * (x \ y) = y * (x \ (1 / (x * y))). [para(7446(a,1),7449(a,1,2)),flip(a)]. given #7076 (H,wt=21): 7451 (x \ y) * ((y * (y * x)) \ y) = y * (x \ (1 / (x * y))). [hyper(58,a,6388,a,b,7450,a)]. given #7077 (H,wt=21): 7452 (x \ y) * ((y * y) \ (x \ y)) = y * (x \ (1 / (x * y))). [para(3784(a,1),7451(a,1,2))]. given #7078 (H,wt=31): 6553 K(x,y) * T(K(y,K(x,z)) * (u * K(y,x)),w) = T(K(y,T(x,z)) * u,w) * K(x,y). [para(6472(a,1),212(a,1,2,1))]. given #7079 (H,wt=31): 6573 (x \ (x * (x / y))) * (z * (x \ (x * (x / y)))) = (y / x) \ (z / ((x * (x / y)) \ x)). [para(3309(a,1),6569(a,1,1)),flip(a)]. given #7080 (H,wt=27): 7453 (x \ (x * (x / y))) * (z * (x \ (x * (x / y)))) = (y / x) \ (z / (y / x)). [para(3309(a,1),6573(a,2,2,2))]. given #7081 (H,wt=23): 7454 (x / y) * (z * (x \ (x * (x / y)))) = (y / x) \ (z / (y / x)). [para(4(a,1),7453(a,1,1))]. given #7082 (H,wt=19): 7455 (x / y) \ (z / (x / y)) = (y / x) * (z * (y / x)). [para(4(a,1),7454(a,1,2,2)),flip(a)]. given #7083 (H,wt=21): 7457 (x / y) * ((y * z) * (x / y)) = x * (z * ((y / x) \ 1)). [hyper(1147,a,7455,a),flip(a)]. given #7084 (H,wt=28): 7459 (x / y) * L(z * (x * (1 / y)),y,y) = x * (((1 / y) * z) * ((y / x) \ 1)). [para(7224(a,1),7457(a,1,2))]. given #7085 (H,wt=31): 6673 ((x * y) * R(L(z,y,x),u,L(z,y,x))) / (x * (y * z)) = a(L(z,y,x),u,L(z,y,x)). [para(87(a,1),6671(a,1,2))]. given #7086 (H,wt=28): 7460 (x * (y * R(z,u,L(z,y,x)))) / (x * (y * z)) = a(L(z,y,x),u,L(z,y,x)). [para(362(a,1),6673(a,1,1))]. given #7087 (H,wt=31): 6900 (x * ((y \ L(y,z,u)) / (1 / y))) * (1 / y) = (y \ 1) \ (y \ ((x * L(y,z,u)) / y)). [para(1150(a,2),6899(a,2,2))]. given #7088 (H,wt=31): 6967 ((K(x,y) * T(z,x)) * (z * x)) \ T(x,y) = ((z * x) \ T(x,y)) * (T(x,y) / (z * x)). [para(3948(a,1),6966(a,1,1,1))]. given #7089 (H,wt=31): 6968 ((T(x,y) \ (x * z)) * (x * z)) \ T(x,y) = ((T(x,y) * z) \ x) * (T(x,y) / (x * z)). [para(5654(a,2),6966(a,2,1))]. given #7090 (H,wt=31): 7123 ((x \ (x / y)) / x) * ((x \ 1) \ ((x \ 1) / y)) = x * (((x \ 1) / y) * ((x \ 1) / y)). [para(4932(a,1),7122(a,1,1))]. given #7091 (H,wt=27): 7462 ((x \ (x / y)) / x) * (x \ (x / y)) = x * (((x \ 1) / y) * ((x \ 1) / y)). [para(4928(a,1),7123(a,1,2))]. given #7092 (H,wt=27): 7463 ((x * x) \ (x / y)) * ((x / y) / x) = x * (((x \ 1) / y) * ((x \ 1) / y)). [hyper(58,a,6587,a(flip),b,7462,a)]. given #7093 (H,wt=25): 7464 x * (((x \ 1) / y) * ((x \ 1) / y)) = ((1 / x) / y) * ((x / y) / x). [para(4638(a,1),7463(a,1,1)),flip(a)]. given #7094 (H,wt=25): 7465 x * ((y \ (x \ 1)) * (y \ (x \ 1))) = ((1 / x) / y) * ((x / y) / x). [para(4115(a,1),7464(a,1,2))]. given #7095 (H,wt=23): 7466 ((1 / x) / y) * ((x / y) / x) = x * (x \ (y \ (1 / (y * x)))). [para(7219(a,1),7465(a,1,2)),flip(a)]. given #7096 (H,wt=19): 7467 ((1 / x) / y) * ((x / y) / x) = y \ (1 / (y * x)). [hyper(272,a,5,a(flip),b,7466,a),flip(a)]. given #7097 (H,wt=31): 7203 ((x \ 1) \ 1) \ ((x \ ((1 / x) * (y * x))) / x) = (1 / x) * ((1 / x) * ((1 / x) * y)). [para(749(a,2),4544(a,1,2))]. given #7098 (H,wt=29): 7469 ((x \ 1) \ 1) \ ((x \ T(y,x \ 1)) / x) = (1 / x) * ((1 / x) * ((1 / x) * y)). [para(3033(a,1),7203(a,1,2,1,2))]. given #7099 (H,wt=29): 7470 ((x \ 1) \ 1) \ (((x \ 1) * T(y,x)) / x) = (1 / x) * ((1 / x) * ((1 / x) * y)). [para(2841(a,1),7469(a,1,2,1))]. given #7100 (H,wt=27): 7471 ((x \ 1) \ 1) \ (x \ (T(y,x) / x)) = (1 / x) * ((1 / x) * ((1 / x) * y)). [para(3582(a,1),7470(a,1,2))]. given #7101 (H,wt=23): 7472 (x \ (x \ T(y,x))) / x = (1 / x) * ((1 / x) * ((1 / x) * y)). [hyper(58,a,5212,a(flip),b,7471,a)]. given #7102 (H,wt=17): 7473 (x \ (x \ T(y,x))) / x = x \ ((x * x) \ y). [hyper(272,a,5935,a(flip),b,7472,a),flip(a)]. given #7103 (H,wt=31): 7303 1 / ((x \ y) \ ((y \ T(x,z)) \ ((x \ y) \ 1))) = ((x / y) * (y / T(x,z))) * (x \ y). [para(7302(a,2),4362(a,2,1))]. given #7104 (H,wt=31): 7304 (T(x,y) \ z) \ ((x \ z) / (T(x,y) \ z)) = (z \ T(x,y)) * ((x / z) * (z / T(x,y))). [para(7302(a,2),6569(a,2,2))]. given #7105 (H,wt=25): 7474 (x \ T(y,z)) * ((y / x) * (x / T(y,z))) = (T(y,z) \ x) \ K(y,z). [para(3359(a,1),7304(a,1,2)),flip(a)]. given #7106 (H,wt=21): 7475 (x \ T(y,z)) * ((y / x) * (x / T(y,z))) = (y \ x) \ 1. [hyper(272,a,5611,a(flip),b,7474,a),flip(a)]. given #7107 (H,wt=21): 7478 (x \ T(y,z)) * ((y \ x) * (x \ T(y,z))) = (y \ x) \ 1. [para(7302(a,1),7475(a,1,2))]. given #7108 (H,wt=21): 7479 (x \ T(y,z)) \ ((y \ x) \ 1) = (y \ x) * (x \ T(y,z)). [hyper(117,a,7478,a)]. given #7109 (H,wt=29): 7480 1 / ((x \ y) \ ((x \ y) * (y \ T(x,z)))) = ((x / y) * (y / T(x,z))) * (x \ y). [para(7479(a,1),7303(a,1,2,2))]. given #7110 (H,wt=21): 7481 ((x / y) * (y / T(x,z))) * (x \ y) = 1 / (y \ T(x,z)). [para(4(a,1),7480(a,1,2)),flip(a)]. given #7111 (H,wt=21): 7483 ((x \ y) * (y \ T(x,z))) * (x \ y) = 1 / (y \ T(x,z)). [para(7302(a,1),7481(a,1,1))]. given #7112 (H,wt=31): 7386 (x * (y \ z)) * (u * (((x * (y \ z)) \ z) / u)) = (x * (u * ((x \ y) / u))) * (y \ z). [para(2214(a,1),2625(a,2,1))]. given #7113 (H,wt=31): 7413 (1 / T(x * y,x)) * (1 / T(x * y,x)) = (x \ T(1 / y,x)) * (x \ T(1 / y,x)). [para(3036(a,1),4145(a,1,2))]. given #7114 (H,wt=31): 7414 ((x \ 1) * (x \ 1)) * ((1 / (1 / x)) \ (y * y)) = ((1 / x) * ((y * y) / x)) * (1 / x). [para(4115(a,1),4337(a,1,1))]. given #7115 (H,wt=29): 7486 (x \ (1 / x)) * ((1 / (1 / x)) \ (y * y)) = ((1 / x) * ((y * y) / x)) * (1 / x). [para(684(a,1),7414(a,1,1))]. given #7116 (H,wt=27): 7487 ((1 / x) * ((y * y) / x)) * (1 / x) = (x \ (1 / x)) * (y * (y * (1 / x))). [para(3367(a,1),7486(a,1,2)),flip(a)]. given #7117 (H,wt=27): 7488 ((1 / x) * ((y * y) / x)) * (1 / x) = (x \ 1) * (x \ (y * (y * (1 / x)))). [hyper(272,a,3787,a(flip),b,7487,a),flip(a)]. given #7118 (H,wt=25): 7489 (x \ 1) * (x \ (y * (y * (1 / x)))) = (x \ ((y * y) / x)) * (1 / x). [para(3827(a,1),7488(a,1,1)),flip(a)]. given #7119 (H,wt=23): 7490 (x \ 1) * (x \ (y * (y * (1 / x)))) = (x * x) \ (x \ (y * y)). [hyper(272,a,4030,a(flip),b,7489,a),flip(a)]. given #7120 (H,wt=31): 7431 ((x \ 1) \ (y \ 1)) \ (z * (1 / (y \ x))) = (((x / y) \ 1) * z) * T((x / y) \ 1,x). [para(4191(a,1),4986(a,1,1))]. given #7121 (H,wt=29): 7491 ((x \ 1) \ (y \ 1)) \ (z * (1 / (y \ x))) = (((x / y) \ 1) * z) * (1 / (y \ x)). [para(3362(a,1),7431(a,2,2))]. given #7122 (H,wt=31): 7436 (T(x,y) * K(y,z)) * (T(y,z) * (T(x,y) * K(y,z))) = (T(y,z) \ (y * x)) * (y * x). [para(3998(a,1),5034(a,1,2,2))]. given #7123 (H,wt=29): 7492 (T(x,y) * K(y,z)) * (y * T(T(x,y),K(y,z))) = (T(y,z) \ (y * x)) * (y * x). [para(3730(a,1),7436(a,1,2))]. given #7124 (H,wt=27): 7493 (T(x,y) * K(y,z)) * (y * T(x,T(y,z))) = (T(y,z) \ (y * x)) * (y * x). [para(5487(a,1),7492(a,1,2,2))]. given #7125 (H,wt=31): 7447 (L(x,y,y) \ 1) \ T(z * (u * (1 / x)),x) = a(x \ 1,y,y) * (x \ ((x * z) * u)). [para(3798(a,1),6488(a,1,1))]. given #7126 (H,wt=29): 7494 (x * (y * (1 / z))) / (1 / L(z,u,u)) = a(z \ 1,u,u) * (z \ ((z * x) * y)). [hyper(58,a,5979,a(flip),b,7447,a)]. given #7127 (H,wt=27): 7495 (x * (y * (1 / z))) / (1 / L(z,u,u)) = a(z,u,u) * (z \ ((z * x) * y)). [para(4246(a,1),7494(a,2,1))]. given #7128 (H,wt=25): 7496 (x * (y * (1 / z))) / (1 / L(z,u,u)) = L(z,u,u) \ ((z * x) * y). [hyper(272,a,6141,a(flip),b,7495,a),flip(a)]. given #7129 (H,wt=31): 7461 (x * (y * (L(y,z,u) * (1 / y)))) * (1 / y) = (y \ 1) \ (y \ ((x * L(y,z,u)) / y)). [para(3588(a,1),6900(a,1,1,2))]. given #7130 (H,wt=28): 7497 (x \ 1) \ (x \ ((y * L(x,z,u)) / x)) = (y * L(L(x,z,u),x,x)) * (1 / x). [para(4525(a,1),7461(a,1,1,2)),flip(a)]. given #7131 (H,wt=26): 7498 (x \ 1) \ (x \ ((y * L(x,z,u)) / x)) = (L(y,x,x) * L(x,z,u)) / x. [hyper(272,a,5956,a(flip),b,7497,a),flip(a)]. given #7132 (H,wt=26): 7499 (x \ 1) \ ((x \ y) * (x \ L(x,z,u))) = (L(y,x,x) * L(x,z,u)) / x. [para(1150(a,1),7498(a,1,2))]. given #7133 (H,wt=24): 7500 (L(x,y,y) * L(y,z,u)) / y = (x * T(L(y,z,u),y)) * (y \ 1). [hyper(58,a,996,a(flip),b,7499,a),flip(a)]. given #7134 (H,wt=22): 7501 (L(x,y,y) * L(y,z,u)) / y = (x * L(y,z,u)) * (y \ 1). [para(159(a,1),7500(a,2,1,2))]. given #7135 (H,wt=31): 7485 (T(x * y,x) \ 1) * (T(x * y,x) \ 1) = (x \ T(1 / y,x)) * (x \ T(1 / y,x)). [hyper(58,a,4115,a(flip),b,7413,a)]. given #7136 (H,wt=25): 7502 (x \ T(1 / y,x)) * (x \ T(1 / y,x)) = (x * y) \ (1 / (x * y)). [hyper(58,a,4082,a(flip),b,7485,a),flip(a)]. given #7137 (H,wt=21): 7504 (x \ (1 / y)) * (x \ (1 / y)) = (x * y) \ (1 / (x * y)). [hyper(58,a,6395,a(flip),b,7502,a)]. given #7138 (H,wt=19): 7506 (x * y) \ (1 / (x * y)) = y \ (x \ (1 / (x * y))). [hyper(58,a,7220,a(flip),b,7504,a),flip(a)]. given #7139 (H,wt=21): 7505 (x \ (y \ 1)) * (x \ (y \ 1)) = (x * y) \ (1 / (x * y)). [hyper(6471,a,7504,a)]. given #7140 (H,wt=25): 7507 (x \ (y \ (1 / (y * x)))) * (x * x) = ((y * x) \ 1) * ((y / x) \ 1). [para(7506(a,1),4047(a,1,1))]. given #7141 (H,wt=25): 7508 x * (x * (x \ (y \ (1 / (y * x))))) = ((y * x) \ 1) * ((y / x) \ 1). [hyper(3013,a,7507,a)]. given #7142 (H,wt=21): 7509 ((x * y) \ 1) * ((x / y) \ 1) = y * (x \ (1 / (x * y))). [hyper(288,a,7508,a),flip(a)]. given #7143 (H,wt=27): 7512 ((x \ (1 / (x * y))) * y) / (1 / y) = y * (((x * y) \ 1) * ((x / y) \ 1)). [para(7509(a,2),3574(a,2,2))]. given #7144 (H,wt=25): 7513 x * (((y * x) \ 1) * ((y / x) \ 1)) = (y \ T(1 / y,x)) / (1 / x). [para(4935(a,1),7512(a,1,1)),flip(a)]. given #7145 (H,wt=32): 5746 R(K(x,y),z,L(R(x,u,w),z,K(x,y))) = (K(x,y) * (z * R(x,u,w))) / (z * R(x,u,w)). [para(5743(a,1),428(a,1,2,2)),flip(a)]. given #7146 (H,wt=18): 7514 R(K(x,y),z,L(R(x,u,w),z,K(x,y))) = K(x,y). [hyper(272,a,6,a(flip),b,5746,a),flip(a)]. given #7147 (H,wt=13): 7516 R(K(x,y),z,R(x,u,w)) = K(x,y). [para(5743(a,1),7514(a,1,3))]. given #7148 (H,wt=13): 7518 K(R(x,y,R(x,z,u)),w) = K(x,w). [hyper(58,a,6238,a(flip),b,7516,a)]. given #7149 (H,wt=16): 7520 K(x,T(y,z * R(x,u,w))) = K(x,T(y,z)). [hyper(6212,a,7518,a),flip(a)]. given #7150 (H,wt=16): 7521 K(x,T(y,z / R(x,u,w))) = K(x,T(y,z)). [para(7(a,1),7520(a,1,2,2)),flip(a)]. given #7151 (H,wt=16): 7522 K(x,T(y,R(x,z,u) \ w)) = K(x,T(y,w)). [hyper(58,a,7340,a(flip),b,7521,a)]. given #7152 (H,wt=16): 7524 K(x,T(y,R(x,z,u) * w)) = K(x,T(y,w)). [para(4(a,1),7522(a,1,2,2)),flip(a)]. given #7153 (H,wt=21): 7517 K(x,(y * R(x,z,u)) / w) = K(x,y / (w / R(x,z,u))). [hyper(58,a,7343,a(flip),b,7516,a)]. given #7154 (H,wt=21): 7526 K(x,(y * R(x,z,u)) / w) = K(x,y / (R(x,z,u) \ w)). [hyper(272,a,7334,a(flip),b,7517,a),flip(a)]. given #7155 (H,wt=23): 7525 K(x,T(y \ (R(x,z,u) * w),w)) = K(x,(R(x,z,u) * w) / y). [hyper(58,a,4456,a(flip),b,7524,a),flip(a)]. given #7156 (H,wt=32): 5803 L(x,K(y,z),x) * (u * (x * K(w,v5))) = (x * K(w,v5)) * ((K(w,v5) * u) * (x * K(w,v5))). [para(5648(a,2),27(a,1,1))]. given #7157 (H,wt=28): 7527 L(x,K(y,z),x) * (u * (x * K(w,v5))) = (x * K(w,v5)) * T(u * x,K(w,v5)). [para(6402(a,1),5803(a,2,2))]. given #7158 (H,wt=23): 7528 (x * K(y,z)) * T(u * x,K(y,z)) = x * (u * (x * K(y,z))). [para(1765(a,1),7527(a,1,1)),flip(a)]. given #7159 (H,wt=32): 6989 ((x / y) * ((x / y) * z)) * K(u,L(z,y \ x,y \ x)) = (x / y) * ((x / y) * T(z,u)). [para(6982(a,1),6277(a,1,2,2))]. given #7160 (H,wt=32): 7011 (x / (y * (y * z))) * (((y * (y * z)) \ (x / (y * (y * z)))) \ 1) = y * (y * L(z,x,x)). [hyper(272,a,6119,a(flip),b,7010,a),flip(a)]. given #7161 (H,wt=31): 7530 (L(x,y / (z * (z * x)),y / (z * (z * x))) \ 1) \ (z * z) = z * (z * L(x,y,y)). [hyper(6760,a,7011,a)]. given #7162 (H,wt=31): 7531 (L(x,(y * (y * x)) \ z,(y * (y * x)) \ z) \ 1) \ (y * y) = y * (y * L(x,z,z)). [para(6982(a,1),7530(a,1,1,1))]. given #7163 (H,wt=32): 7529 (x * ((y / z) * (y / z))) * K(u,L(x,z \ y,z \ y)) = (y / z) * ((y / z) * T(x,u)). [para(2956(a,2),6989(a,1,1))]. given #7164 (H,wt=32): 7532 (x * ((y \ z) * (y \ z))) * K(u,L(x,y \ z,y \ z)) = (z / y) * ((z / y) * T(x,u)). [para(4115(a,1),7529(a,1,1,2))]. given #7165 (H,wt=25): 7533 (x * ((y \ z) * (y \ z))) * K(u,x) = (z / y) * ((z / y) * T(x,u)). [para(5963(a,1),7532(a,1,2))]. given #7166 (H,wt=25): 7534 (x * ((y \ z) * (y \ z))) * K(x,u) = (z / y) * ((z / y) * T(x,u)). [para(28(a,1),7533(a,1,2))]. given #7167 (H,wt=33): 4061 (L(x,y,z) \ x) \ (u * (1 / (x \ L(x,y,z)))) = (x \ L(x,y,z)) * (u / (x \ L(x,y,z))). [para(2538(a,1),3835(a,1,1))]. given #7168 (H,wt=31): 7536 (L(x,y,z) \ x) \ (u * (L(x,y,z) \ x)) = (x \ L(x,y,z)) * (u / (x \ L(x,y,z))). [para(4422(a,1),4061(a,1,2,2))]. given #7169 (H,wt=24): 7537 (x \ L(x,y,z)) * (u / (x \ L(x,y,z))) = T(u,L(x,y,z) \ x). [hyper(291,a,7536,a),flip(a)]. given #7170 (H,wt=28): 7538 ((x \ L(x,y,z)) \ u) / T(u,L(x,y,z) \ x) = 1 / T(x \ L(x,y,z),u). [para(7537(a,1),4429(a,1,2))]. given #7171 (H,wt=28): 7539 (x * (y \ L(y,z,u))) \ T(x,L(y,z,u) \ y) = 1 / T(y \ L(y,z,u),x). [hyper(5736,a,7538,a)]. given #7172 (H,wt=21): 7540 1 / T(x \ L(x,y,z),u) = T(x \ L(x,y,z),u) \ 1. [hyper(58,a,5426,a(flip),b,7539,a),flip(a)]. given #7173 (H,wt=33): 4134 (((1 / x) * (1 / y)) * (z * (y / (x \ 1)))) * ((1 / x) * (1 / y)) = ((1 / x) * (1 / y)) * z. [para(4106(a,1),703(a,1,1,2,2))]. given #7174 (H,wt=25): 7541 T(x,y \ (z \ 1)) * ((1 / y) * (1 / z)) = ((1 / y) * (1 / z)) * x. [para(6785(a,1),4134(a,1,1))]. given #7175 (H,wt=33): 4591 ((x \ 1) * y) * T((x \ z) * (1 / x),x \ 1) = ((x \ 1) * (y * (z * (1 / x)))) * (x \ 1). [para(4060(a,1),1158(a,1,2,1))]. given #7176 (H,wt=31): 7542 ((x \ 1) * (y * (z * (1 / x)))) * (x \ 1) = ((x \ 1) * y) * (((x \ 1) \ 1) \ (x \ z)). [para(3839(a,1),4591(a,1,2)),flip(a)]. given #7177 (H,wt=29): 7543 ((x \ 1) * (y * (z * (1 / x)))) * (x \ 1) = ((x \ 1) * y) * (z * (x \ (1 / x))). [para(5211(a,1),7542(a,2,2))]. given #7178 (H,wt=25): 7544 ((x \ 1) * y) * (z * (x \ (1 / x))) = (x \ (y * (z * (1 / x)))) / x. [hyper(4518,a,7543,a),flip(a)]. given #7179 (H,wt=25): 7545 ((x \ 1) * y) * (z * (x \ (1 / x))) = ((1 / x) * y) * (x \ (x \ z)). [hyper(272,a,3570,a(flip),b,7544,a),flip(a)]. given #7180 (H,wt=33): 4820 (x * x) * ((T((1 / x) * y,x * x) * z) * (x * x)) = T(x * y,x * x) * (z * (x * x)). [para(3352(a,1),3244(a,1,1,1)),flip(a)]. given #7181 (H,wt=32): 7547 (x * x) * ((T((1 / x) * y,x * x) * z) * (x * x)) = L(x * y,x,x) * (z * (x * x)). [para(2952(a,1),4820(a,2,1))]. given #7182 (H,wt=31): 7548 (x * x) * ((T((1 / x) * y,x * x) * z) * (x * x)) = ((x \ 1) \ y) * (z * (x * x)). [para(2002(a,1),7547(a,2,1))]. given #7183 (H,wt=31): 7549 (x * x) * ((T((1 / x) * y,x * x) * z) * (x * x)) = ((x \ 1) \ y) * (x * (x * z)). [para(2956(a,1),7548(a,2,2))]. given #7184 (H,wt=30): 7550 (x * x) * ((L((1 / x) * y,x,x) * z) * (x * x)) = ((x \ 1) \ y) * (x * (x * z)). [para(2952(a,1),7549(a,1,2,1,1))]. given #7185 (H,wt=25): 7551 (x * x) * (((x \ y) * z) * (x * x)) = ((x \ 1) \ y) * (x * (x * z)). [para(1996(a,1),7550(a,1,2,1,1))]. given #7186 (H,wt=25): 7552 (x * x) * (x * (x * ((x \ y) * z))) = ((x \ 1) \ y) * (x * (x * z)). [para(2956(a,1),7551(a,1,2))]. given #7187 (H,wt=25): 7553 x * (x * ((((x \ y) * z) * x) * x)) = ((x \ 1) \ y) * (x * (x * z)). [hyper(58,a,4430,a(flip),b,7552,a)]. given #7188 (H,wt=25): 7554 x * (x * ((x * x) * ((x \ y) * z))) = ((x \ 1) \ y) * (x * (x * z)). [hyper(58,a,3775,a(flip),b,7553,a)]. given #7189 (H,wt=31): 7555 ((x \ 1) \ y) * (x * (x * (z * (x \ 1)))) = x * (x * ((x * x) * (x \ ((y * z) / x)))). [para(1136(a,1),7554(a,1,2,2,2)),flip(a)]. given #7190 (H,wt=29): 7556 ((x \ 1) \ y) * (x * (x * (z * (x \ 1)))) = x * (x * ((x \ 1) \ ((y * z) / x))). [para(3498(a,1),7555(a,2,2,2))]. given #7191 (H,wt=25): 7557 ((x \ 1) \ y) * (x * (x * (z * (x \ 1)))) = ((x \ 1) \ (y * z)) * x. [hyper(272,a,4531,a(flip),b,7556,a),flip(a)]. given #7192 (H,wt=19): 7558 ((x \ 1) \ (y * z)) * x = ((x \ 1) \ y) * (z * x). [para(2939(a,1),7557(a,1,2)),flip(a)]. given #7193 (H,wt=33): 5157 T(((x * x) * ((1 / x) * y)) * ((1 / x) * y),x * x) = x * ((y * (((1 / x) * y) * x)) / x). [hyper(3602,a,3417,a)]. given #7194 (H,wt=27): 7560 T((x * y) * ((1 / x) * y),x * x) = x * ((y * (((1 / x) * y) * x)) / x). [para(3352(a,1),5157(a,1,1,1))]. given #7195 (H,wt=25): 7561 x * ((y * (((1 / x) * y) * x)) / x) = T(x * ((y / x) * y),x * x). [para(6528(a,1),7560(a,1,1)),flip(a)]. given #7196 (H,wt=24): 7562 x * ((y * (((1 / x) * y) * x)) / x) = L(x * ((y / x) * y),x,x). [hyper(272,a,2952,a(flip),b,7561,a),flip(a)]. given #7197 (H,wt=23): 7563 x * ((y * (((1 / x) * y) * x)) / x) = (x \ 1) \ ((y / x) * y). [hyper(272,a,2002,a(flip),b,7562,a),flip(a)]. given #7198 (H,wt=17): 7564 (x \ 1) \ ((y / x) * y) = x * ((y / x) * y). [para(4087(a,1),7563(a,1,2)),flip(a)]. given #7199 (H,wt=23): 7565 (x * x) * ((x \ y) * (x * y)) = x * (x * (x * ((y / x) * y))). [para(7564(a,1),6533(a,1,2,2)),flip(a)]. given #7200 (H,wt=21): 7566 (x * x) * ((x \ y) * (x * y)) = (1 / x) \ ((y * x) * y). [hyper(272,a,6435,a(flip),b,7565,a),flip(a)]. given #7201 (H,wt=21): 7567 (x * x) * (x * ((y / x) * y)) = (1 / x) \ ((y * x) * y). [para(6530(a,1),7566(a,1,2))]. given #7202 (H,wt=21): 7568 (x * y) * T(x * y,y * y) = (1 / y) \ ((x * y) * x). [hyper(58,a,6413,a,b,7567,a)]. given #7203 (H,wt=20): 7569 (x * y) * L(x * y,y,y) = (1 / y) \ ((x * y) * x). [para(2952(a,1),7568(a,1,2))]. given #7204 (H,wt=19): 7570 (1 / x) \ ((y * x) * y) = (y * x) * (y / (1 / x)). [para(2966(a,1),7569(a,1,2)),flip(a)]. given #7205 (H,wt=21): 7571 (x * x) * (x * ((y / x) * y)) = (y * x) * (y / (1 / x)). [hyper(58,a,7567,a,b,7570,a)]. given #7206 (H,wt=19): 7572 (x * y) * (x / (1 / y)) = y * (x / (1 / (y * x))). [hyper(58,a,6564,a(flip),b,7571,a),flip(a)]. given #7207 (H,wt=25): 7573 (x * x) * (x * (y / (1 / (x * y)))) = (y * x) * ((x * x) * (y * x)). [para(7572(a,1),7068(a,1,2))]. given #7208 (H,wt=23): 7574 (x * y) * ((y * y) * (x * y)) = (y * x) * ((y * y) * (y * x)). [hyper(58,a,6813,a(flip),b,7573,a),flip(a)]. given #7209 (H,wt=23): 7575 (x * y) * ((x * x) * (x * y)) = x * ((y * (x * (y * x))) * x). [hyper(58,a,6774,a(flip),b,7574,a),flip(a)]. given #7210 (H,wt=27): 7576 (x * x) \ (x * ((y * (x * (y * x))) * x)) = (x * y) * T(x * y,x * x). [hyper(112,a,7575,a(flip),b,5011,a)]. given #7211 (H,wt=25): 7578 (1 / x) * ((y * (x * (y * x))) * x) = (x * y) * T(x * y,x * x). [hyper(3354,a,7576,a)]. given #7212 (H,wt=23): 7579 T(x * (y * (x * y)),y \ 1) = (y * x) * T(y * x,y * y). [hyper(3229,a,7578,a)]. given #7213 (H,wt=21): 7580 T(x * (y * (x * y)),y \ 1) = y * (x / (1 / (y * x))). [hyper(272,a,6812,a(flip),b,7579,a),flip(a)]. given #7214 (H,wt=31): 7577 (x * (((y * y) * (y * x)) * (y \ 1))) * y = (y \ 1) * (y * ((x * (y * (x * y))) * y)). [para(7575(a,1),6419(a,2,2))]. given #7215 (H,wt=27): 7581 (x \ 1) * (x * ((y * (x * (y * x))) * x)) = (y * ((x * y) / (1 / x))) * x. [para(4029(a,1),7577(a,1,1,2)),flip(a)]. given #7216 (H,wt=25): 7582 (x \ 1) * (x * ((y * (x * (y * x))) * x)) = (y * (x * (y * x))) * x. [para(3589(a,1),7581(a,2,1,2))]. given #7217 (H,wt=25): 7583 x * ((1 / x) * ((y * (x * (y * x))) * x)) = (y * (x * (y * x))) * x. [hyper(58,a,3556,a(flip),b,7582,a)]. given #7218 (H,wt=23): 7584 x * T(y * (x * (y * x)),x \ 1) = (y * (x * (y * x))) * x. [para(3033(a,1),7583(a,1,2))]. given #7219 (H,wt=21): 7585 x * (x * (y / (1 / (x * y)))) = (y * (x * (y * x))) * x. [para(7580(a,1),7584(a,1,2))]. given #7220 (H,wt=33): 5788 (T(x \ 1,y) * K(y,z)) * (T(y,z) / (x * y)) = (T(y,z) * (T(y,z) / (x * y))) / (x * y). [para(5705(a,2),4730(a,2,1)),flip(a)]. given #7221 (H,wt=33): 6167 x * K(x * T(y \ 1,z),T(y \ 1,z) \ 1) = T(y \ 1,z) * (x * (T(1 / y,z) \ 1)). [para(1613(a,1),6165(a,2,2,2))]. given #7222 (H,wt=31): 7587 T(x \ 1,y) * (z * (T(1 / x,y) \ 1)) = z * K(z * T(x \ 1,y),T(1 \ x,y)). [para(5479(a,1),6167(a,1,2)),flip(a)]. given #7223 (H,wt=29): 7588 T(x \ 1,y) * (z * (T(1 / x,y) \ 1)) = z * K(z * T(x \ 1,y),T(x,y)). [para(60(a,1),7587(a,2,2,2,1))]. given #7224 (H,wt=29): 7589 T(x \ 1,y) * (z * (T(1 / x,y) \ 1)) = z * K(T(x,y),z * T(x \ 1,y)). [para(28(a,1),7588(a,2,2))]. given #7225 (H,wt=33): 7586 (T(x \ 1,y) * K(y,z)) * (T(y,z) / (x * y)) = (T(y,z) * (y \ (T(y,z) / x))) / (x * y). [para(5763(a,1),5788(a,2,1,2))]. given #7226 (H,wt=31): 7590 (T(x \ 1,y) * K(y,z)) * (T(y,z) / (x * y)) = (K(y,z) * (T(y,z) / x)) / (x * y). [para(2749(a,1),7586(a,2,1))]. given #7227 (H,wt=25): 7591 (T(x \ 1,y) * K(y,z)) * (T(y,z) / (x * y)) = (y / x) / (x * y). [para(5620(a,1),7590(a,2,1))]. given #7228 (H,wt=23): 7593 ((x * y) \ T(y,z)) * (T(y,z) / (x * y)) = (y / x) / (x * y). [para(5705(a,1),7591(a,1,1))]. given #7229 (H,wt=34): 6797 ((1 / ((1 / x) \ y)) \ a(1 / ((1 / x) \ y),x,1 / ((1 / x) \ y))) * x = x / ((y * x) \ 1). [hyper(272,a,3508,a(flip),b,6795,a),flip(a)]. given #7230 (H,wt=34): 6994 L(T(x,y / (1 / (y / z))),(1 / (y / z)) \ y,(1 / (y / z)) \ y) = T(x,1 / ((y * y) / z)). [para(5002(a,1),6993(a,2,2))]. given #7231 (H,wt=32): 7594 L(T(x,y * (y / z)),(1 / (y / z)) \ y,(1 / (y / z)) \ y) = T(x,1 / ((y * y) / z)). [para(5984(a,1),6994(a,1,1))]. given #7232 (H,wt=30): 7595 L(T(x,y * (y / z)),y / (y \ z),(1 / (y / z)) \ y) = T(x,1 / ((y * y) / z)). [para(3510(a,1),7594(a,1,2))]. given #7233 (H,wt=28): 7596 L(T(x,y * (y / z)),y / (y \ z),y / (y \ z)) = T(x,1 / ((y * y) / z)). [para(3510(a,1),7595(a,1,3))]. given #7234 (H,wt=35): 3333 ((((1 / x) \ y) \ 1) * (((1 / x) \ y) \ 1)) / x = ((y / (1 / x)) \ (1 / x)) * (((1 / x) \ y) \ 1). [para(3007(a,1),3029(a,1,1)),flip(a)]. given #7235 (H,wt=33): 7597 ((((1 / x) \ y) \ 1) * (((1 / x) \ y) \ 1)) / x = (x \ ((x * y) \ 1)) * (((1 / x) \ y) \ 1). [para(6911(a,1),3333(a,2,1))]. given #7236 (H,wt=33): 7598 ((((1 / x) \ y) \ 1) * (((1 / x) \ y) \ 1)) / x = (x \ ((x * y) \ 1)) * ((y \ 1) * (x \ 1)). [para(3733(a,1),7597(a,2,2))]. given #7237 (H,wt=31): 7599 ((((1 / x) \ y) \ 1) * (((1 / x) \ y) \ 1)) / x = x \ ((((x * y) \ 1) * (y \ 1)) / x). [hyper(272,a,1136,a(flip),b,7598,a),flip(a)]. given #7238 (H,wt=29): 7600 ((((1 / x) \ y) \ 1) * (((1 / x) \ y) \ 1)) / x = x \ ((y \ (x \ (1 / y))) / x). [para(4627(a,1),7599(a,2,2,1))]. given #7239 (H,wt=29): 7601 (((x \ 1) * (y \ 1)) * (((1 / y) \ x) \ 1)) / y = y \ ((x \ (y \ (1 / x))) / y). [para(3733(a,1),7600(a,1,1,1))]. given #7240 (H,wt=29): 7602 (((x \ 1) * (y \ 1)) * ((x \ 1) * (y \ 1))) / y = y \ ((x \ (y \ (1 / x))) / y). [para(3733(a,1),7601(a,1,1,2))]. given #7241 (H,wt=25): 7603 ((x \ (y \ 1)) * (x \ (y \ 1))) / x = x \ ((y \ (x \ (1 / y))) / x). [para(5856(a,1),7602(a,1,1))]. given #7242 (H,wt=23): 7604 ((x * y) \ (1 / (x * y))) / x = x \ ((y \ (x \ (1 / y))) / x). [para(7505(a,1),7603(a,1,1))]. given #7243 (H,wt=25): 7605 x * (x \ ((y \ (x \ (1 / y))) / x)) = (x \ 1) * (((x * y) \ 1) / y). [para(7604(a,1),7145(a,1,2))]. given #7244 (H,wt=21): 7606 (x \ 1) * (((x * y) \ 1) / y) = (y \ (x \ (1 / y))) / x. [hyper(230,a,7605,a),flip(a)]. given #7245 (H,wt=24): 7607 (x \ 1) * (((x * y) \ 1) / y) != z | (y \ (x \ (1 / y))) / x = z. [para(7605(a,1),230(a,1))]. given #7246 (H,wt=35): 4826 (x * x) * T((y \ 1) * (y \ (y \ (1 / y))),z) = x * (x * T((y \ (1 / y)) * (y \ (1 / y)),z)). [para(3787(a,1),3383(a,1,2,1))]. given #7247 (H,wt=33): 7609 x * (x * T((y \ (1 / y)) * (y \ (1 / y)),z)) = (x * x) * T(y \ ((y * y) \ (1 / y)),z). [para(3115(a,1),4826(a,1,2,1)),flip(a)]. given #7248 (H,wt=33): 7610 x * (x * T((y \ (1 / y)) * (y \ (1 / y)),z)) = (x * x) * T(y \ (y \ (y \ (y \ 1))),z). [para(3562(a,1),7609(a,2,2,1,2))]. given #7249 (H,wt=31): 7611 x * (x * T((y \ (1 / y)) * (y \ (1 / y)),z)) = (x * x) * (y \ (y \ (y \ (y \ 1)))). [para(6549(a,1),7610(a,2,2))]. given #7250 (H,wt=29): 7612 x * (x * T((y \ (1 / y)) * (y \ (1 / y)),z)) = y \ (y \ (y \ (y \ (x * x)))). [hyper(272,a,6889,a(flip),b,7611,a),flip(a)]. given #7251 (H,wt=29): 7614 x * (x * T((y \ (1 / y)) * (y \ (1 / y)),z)) = y \ (y \ (x * (y \ (y \ x)))). [para(4410(a,1),7612(a,2,2,2))]. given #7252 (H,wt=35): 4897 (((x \ (y \ 1)) \ 1) \ 1) * (1 / ((x \ (y \ 1)) \ 1)) = (1 / ((x \ (y \ 1)) \ 1)) * ((1 / x) / y). [para(4894(a,1),306(a,1,2)),flip(a)]. given #7253 (H,wt=31): 7615 (((x \ (y \ 1)) \ 1) \ 1) * (1 / ((x \ (y \ 1)) \ 1)) = (x \ (y \ 1)) * ((1 / x) / y). [hyper(272,a,165,a(flip),b,4897,a),flip(a)]. given #7254 (H,wt=29): 7618 ((x \ (y \ 1)) \ 1) \ (((x \ (y \ 1)) \ 1) \ 1) = (x \ (y \ 1)) * ((1 / x) / y). [hyper(5029,a,7615,a)]. given #7255 (H,wt=25): 7620 ((x \ (y \ 1)) \ 1) \ ((1 / x) / y) = (x \ (y \ 1)) * ((1 / x) / y). [para(4894(a,1),7618(a,1,2))]. given #7256 (H,wt=21): 7621 (x \ (y \ 1)) * ((1 / x) / y) = x \ (y \ ((y * x) \ 1)). [hyper(7430,a,7620,a),flip(a)]. given #7257 (H,wt=23): 7622 (((1 / x) / y) \ 1) \ (x \ (y \ 1)) = x \ (y \ ((y * x) \ 1)). [hyper(7142,a,7621,a)]. given #7258 (H,wt=35): 5897 (((x / (x \ y)) \ y) * z) / ((x \ y) * (x \ y)) = ((x / (x \ y)) \ y) \ (z * (y / (x / (x \ y)))). [para(3272(a,1),5896(a,1,2))]. given #7259 (H,wt=35): 6475 ((x * x) * (1 / (((x * x) * L(y,x,x)) * z))) \ 1 = x * (x * (y * L(z * (1 / (x * x)),x,x))). [hyper(272,a,5957,a(flip),b,6473,a),flip(a)]. given #7260 (H,wt=32): 7624 x * (x * (y * L(z * (1 / (x * x)),x,x))) = ((x * x) * (1 / ((x * (x * y)) * z))) \ 1. [para(87(a,1),6475(a,1,1,2,2,1)),flip(a)]. given #7261 (H,wt=30): 7625 x * (x * (y * L(z * (1 / (x * x)),x,x))) = ((x * x) / ((x * (x * y)) * z)) \ 1. [para(3329(a,1),7624(a,2,1))]. given #7262 (H,wt=28): 7626 x * (x * (y * L(z * (1 / (x * x)),x,x))) = x \ (x \ ((x * (x * y)) * z)). [hyper(272,a,3455,a(flip),b,7625,a),flip(a)]. given #7263 (H,wt=28): 7627 x * (x * (y * L(z * (x \ (x \ 1)),x,x))) = x \ (x \ ((x * (x * y)) * z)). [para(3009(a,1),7626(a,1,2,2,2,1,2))]. given #7264 (H,wt=26): 7628 x * (x * (y * L(x \ (x \ z),x,x))) = x \ (x \ ((x * (x * y)) * z)). [para(4382(a,1),7627(a,1,2,2,2,1))]. given #7265 (H,wt=23): 7629 x \ (x \ ((x * (x * y)) * z)) = x * (x * (y * ((x * x) \ z))). [para(254(a,1),7628(a,1,2,2,2)),flip(a)]. given #7266 (H,wt=35): 6490 (1 * (((((x \ 1) \ 1) \ y) * z) / x)) / (1 / x) = (x \ 1) * ((y * (z / (x \ 1))) / (1 / (x \ 1))). [para(6487(a,1),6487(a,1,2)),flip(a)]. given #7267 (H,wt=31): 7630 (1 * (((((x \ 1) \ 1) \ y) * z) / x)) / (1 / x) = (x \ 1) * ((y * (z / (x \ 1))) / x). [para(72(a,1),6490(a,2,2,2))]. given #7268 (H,wt=29): 7632 (1 * (((((x \ 1) \ 1) \ y) * z) / x)) / (1 / x) = (x \ 1) * (x * ((x \ y) * z)). [para(1164(a,1),7630(a,2,2))]. given #7269 (H,wt=29): 7633 (1 * (((((x \ 1) \ 1) \ y) * z) / x)) / (1 / x) = x * ((1 / x) * ((x \ y) * z)). [hyper(272,a,3556,a(flip),b,7632,a),flip(a)]. given #7270 (H,wt=22): 7634 x * ((1 / x) * ((x \ y) * z)) = ((x \ 1) * y) * L(z,x,x). [hyper(58,a,6933,a(flip),b,7633,a),flip(a)]. given #7271 (H,wt=35): 6491 (x * ((y * y) / L(z,u,u))) / (1 / L(z,u,u)) = a(z,u,u) * (z \ (y * (y * (L(z,u,u) * x)))). [hyper(272,a,6141,a,b,6489,a),flip(a)]. given #7272 (H,wt=35): 6531 (1 / x) * ((T(y,x \ 1) / (1 / x)) * T(y,x \ 1)) = ((1 / x) \ T(y,x \ 1)) * (y * (1 / x)). [para(1966(a,1),6530(a,1,2)),flip(a)]. given #7273 (H,wt=29): 7636 (1 / x) * ((T(y,x \ 1) / (1 / x)) * T(y,x \ 1)) = (y * x) * (y * (1 / x)). [para(2791(a,1),6531(a,2,1))]. given #7274 (H,wt=27): 7637 (1 / x) * ((((x \ 1) \ 1) * y) * T(y,x \ 1)) = (y * x) * (y * (1 / x)). [para(4562(a,1),7636(a,1,2,1))]. given #7275 (H,wt=21): 7638 (1 / x) * ((y / (1 / x)) * y) = (y * x) * (y * (1 / x)). [para(4561(a,1),7637(a,1,2))]. given #7276 (H,wt=19): 7639 (x * y) * (x * (1 / y)) = y * ((x * (1 / y)) * x). [hyper(6437,a,7638,a),flip(a)]. given #7277 (H,wt=21): 7641 x * ((y * x) * (y * (1 / x))) = (x * y) * (x * (y / x)). [para(7638(a,1),7115(a,1,2))]. given #7278 (H,wt=22): 7640 (x * y) * (x * (1 / y)) != z | y * ((x * (1 / y)) * x) = z. [para(7638(a,1),6437(a,1))]. given #7279 (H,wt=23): 7642 (1 / x) * ((y * x) * (y * x)) = x * ((y * x) * (y * (1 / x))). [para(7638(a,1),7202(a,1,2)),flip(a)]. given #7280 (H,wt=19): 7643 x * ((y * x) * (y * (1 / x))) = (y / (1 / x)) * y. [hyper(5038,a,7642,a),flip(a)]. given #7281 (H,wt=17): 7644 (x * y) * (x * (y / x)) = (y / (1 / x)) * y. [hyper(58,a,7641,a(flip),b,7643,a)]. given #7282 (H,wt=29): 7645 (x \ y) * (y * ((T(x,y) \ 1) / y)) = ((T(x,y) \ 1) / (1 / y)) * (T(x,y) \ 1). [para(3006(a,1),7644(a,1,1))]. given #7283 (H,wt=27): 7646 ((T(x,y) \ 1) / (1 / y)) * (T(x,y) \ 1) = (x \ y) * ((x \ y) * (1 / y)). [para(3540(a,1),7645(a,1,2)),flip(a)]. given #7284 (H,wt=27): 7647 (((x \ 1) * T(y,x)) \ 1) * (T(y,x) \ 1) = (y \ x) * ((y \ x) * (1 / x)). [para(4150(a,1),7646(a,1,1))]. given #7285 (H,wt=25): 7648 T(x,y) \ ((y \ 1) \ (1 / T(x,y))) = (x \ y) * ((x \ y) * (1 / y)). [hyper(4628,a,7647,a)]. given #7286 (H,wt=26): 7649 (x \ y) * ((x \ y) * (1 / y)) != z | (y \ T(x,y)) \ (1 / T(x,y)) = z. [para(7648(a,1),5101(a,1))]. given #7287 (H,wt=35): 7484 (x * (y * ((x \ (z / u)) / y))) * ((z / u) \ z) = (x * u) * (y * (((x * ((z / u) \ z)) \ z) / y)). [para(74(a,1),7386(a,1,1,2)),flip(a)]. given #7288 (H,wt=31): 7650 (x * (y * ((x \ (z / u)) / y))) * ((z / u) \ z) = (x * u) * (y * (((x * u) \ z) / y)). [para(74(a,1),7484(a,2,2,2,1,1,2))]. given #7289 (H,wt=27): 7651 (x * (y * ((x \ (z / u)) / y))) * u = (x * u) * (y * (((x * u) \ z) / y)). [para(74(a,1),7650(a,1,2))]. given #7290 (H,wt=25): 7652 ((x * y) * (z * (((x * y) \ u) / z))) / u = K(z,u / ((x * z) * y)). [para(7651(a,1),7385(a,1,1))]. given #7291 (H,wt=19): 7653 K(x,y / ((z * u) * x)) = K(x,y / ((z * x) * u)). [hyper(58,a,6822,a(flip),b,7652,a)]. given #7292 (H,wt=19): 7654 K(x,y / (((x \ z) * u) * x)) = K(x,y / (z * u)). [hyper(272,a,6261,a(flip),b,7653,a),flip(a)]. given #7293 (H,wt=19): 7655 K(x,y / ((z * x) * u)) = K(x,y / (x * (z * u))). [hyper(58,a,5843,a(flip),b,7653,a),flip(a)]. given #7294 (H,wt=19): 7656 K(x,y / ((x * z) * u)) = K(x,y / (x * (z * u))). [hyper(58,a,6262,a(flip),b,7655,a)]. given #7295 (H,wt=21): 7657 x * K(x,y / (x * (z * u))) = T(x,y / ((x * z) * u)). [hyper(114,a,7656,a(flip),b,2672,a(flip))]. given #7296 (H,wt=19): 7658 T(x,y / ((x * z) * u)) = T(x,y / (x * (z * u))). [hyper(2737,a,7657,a),flip(a)]. given #7297 (H,wt=35): 7511 ((T(x,y) * (1 / y)) \ 1) * (((y \ 1) \ x) \ 1) = (1 / y) * (T(x,y) \ (1 / (T(x,y) * (1 / y)))). [para(3350(a,1),7509(a,1,2,1))]. given #7298 (H,wt=31): 7659 (1 / x) * (T(y,x) \ (1 / (T(y,x) * (1 / x)))) = ((y \ 1) * x) * (((x \ 1) \ y) \ 1). [para(4283(a,1),7511(a,1,1)),flip(a)]. given #7299 (H,wt=31): 7660 (1 / x) * (T(y,x) \ (1 / (T(y,x) * (1 / x)))) = ((y \ 1) * x) * ((y \ 1) * (1 / x)). [para(4104(a,1),7659(a,2,2))]. given #7300 (H,wt=31): 7661 (1 / x) * (T(y,x) \ (1 / (T(y,x) * (1 / x)))) = x * (((y \ 1) * (1 / x)) * (y \ 1)). [hyper(272,a,7639,a(flip),b,7660,a),flip(a)]. given #7301 (H,wt=27): 7662 (1 / x) * (T(y,x) \ (1 / (T(y,x) * (1 / x)))) = x * ((y \ (1 / x)) / y). [para(4517(a,1),7661(a,2,2))]. given #7302 (H,wt=27): 7663 (1 / x) * (T(y,x) \ ((x \ 1) \ (1 / T(y,x)))) = x * ((y \ (1 / x)) / y). [para(4149(a,1),7662(a,1,2,2))]. given #7303 (H,wt=25): 7664 (1 / x) * ((x \ T(y,x)) \ (1 / T(y,x))) = x * ((y \ (1 / x)) / y). [para(5100(a,1),7663(a,1,2))]. given #7304 (H,wt=35): 7623 ((x / (x \ y)) \ y) \ (z * (y / (x / (x \ y)))) = (x \ y) \ ((x \ y) \ (((x / (x \ y)) \ y) * z)). [hyper(3062,a,5897,a),flip(a)]. given #7305 (H,wt=36): 2875 T(L(L(x * K(y,x),y,x * K(y,x)),z,u) * y,x * K(y,x)) = L(x * K(y,x),z,u) * T(y,x). [para(2718(a,1),2356(a,2,2))]. given #7306 (H,wt=32): 7665 T(L(L(x * K(y,x),y,x),z,u) * y,x * K(y,x)) = L(x * K(y,x),z,u) * T(y,x). [para(2764(a,1),2875(a,1,1,1,1))]. given #7307 (H,wt=28): 7666 T(x * L(L(y,z,u),x,y),y * K(x,y)) = L(y * K(x,y),z,u) * T(x,y). [para(6913(a,1),7665(a,1,1))]. given #7308 (H,wt=24): 7667 T(x * L(L(y,z,u),x,y),y * K(x,y)) = T(x,y) * L(y,z,u). [hyper(272,a,3719,a(flip),b,7666,a),flip(a)]. given #7309 (H,wt=24): 7668 T(x * L(L(y,x,y),z,u),y * K(x,y)) = T(x,y) * L(y,z,u). [para(25(a,1),7667(a,1,1,2))]. given #7310 (H,wt=22): 7669 T(x * L(L(y,x,y),z,u),T(y,x)) = T(x,y) * L(y,z,u). [hyper(58,a,5331,a(flip),b,7668,a)]. given #7311 (H,wt=20): 7670 T(x * L(L(y,x,y),z,u),y) = T(x,y) * L(y,z,u). [hyper(58,a,6061,a(flip),b,7669,a)]. given #7312 (H,wt=32): 7671 K(x,L(L(x,y,x),z,u) / (y \ 1)) * (y \ (T(y,x) * L(x,z,u))) = L(L(x,y,x),z,u). [para(7670(a,1),4069(a,1,2,2))]. given #7313 (H,wt=30): 7672 K(x,L(L(x,y,x),z,u) / (y \ 1)) * (K(y,x) * L(x,z,u)) = L(L(x,y,x),z,u). [para(2748(a,1),7671(a,1,2))]. given #7314 (H,wt=30): 7673 K(x,(y \ 1) \ L(L(x,y,x),z,u)) * (K(y,x) * L(x,z,u)) = L(L(x,y,x),z,u). [para(5319(a,1),7672(a,1,1))]. given #7315 (H,wt=37): 5448 ((x * (T(y \ 1,z) \ 1)) \ 1) / (T(y \ 1,z) \ 1) = T(1 / y,z) * (x \ ((T(y \ 1,z) \ 1) \ 1)). [para(5438(a,1),5111(a,1,1)),flip(a)]. given #7316 (H,wt=33): 7674 ((x * (T(y \ 1,z) \ 1)) \ 1) / (T(y \ 1,z) \ 1) = T(1 / y,z) * (x \ T(1 / y,z)). [para(5438(a,1),5448(a,2,2,2))]. given #7317 (H,wt=33): 7675 ((1 / T(x \ 1,y)) * (z * (T(x \ 1,y) \ 1))) \ 1 = T(1 / x,y) * (z \ T(1 / x,y)). [hyper(58,a,4133,a(flip),b,7674,a)]. given #7318 (H,wt=33): 7676 ((T(1 / x,y) \ 1) * (z * (T(x \ 1,y) \ 1))) \ 1 = T(1 / x,y) * (z \ T(1 / x,y)). [para(1613(a,1),7675(a,1,1,1))]. given #7319 (H,wt=37): 7382 K(x,((y * z) * R(x,y,z)) / ((u * (K(y * z,x) * y)) * z)) = K(R(x,K(y * z,x) * y,z),u \ x). [para(4745(a,1),7380(a,1,2,1))]. given #7320 (H,wt=31): 7677 K(R(x,K(y * z,x) * y,z),u \ x) = K(x,((y * z) * R(x,y,z)) / ((u * y) * z)). [hyper(58,a,6580,a(flip),b,7382,a),flip(a)]. given #7321 (H,wt=37): 7408 T(x \ 1,y) * R(T(x \ 1,R(y,x,z)) \ 1,u,w) = T((x \ 1) * R((x \ 1) \ 1,u,w),R(y,x,z)). [para(7407(a,1),1569(a,1,1))]. given #7322 (H,wt=34): 7679 T((x \ 1) * R((x \ 1) \ 1,y,z),R(u,x,w)) = T(x \ 1,u) * R(T(x \ 1,u) \ 1,y,z). [para(7407(a,1),7408(a,1,2,1,1)),flip(a)]. given #7323 (H,wt=32): 7680 T((x \ 1) * R((x \ 1) \ 1,y,z),R(u,x,w)) = T((x \ 1) * R((x \ 1) \ 1,y,z),u). [hyper(272,a,1569,a(flip),b,7679,a),flip(a)]. given #7324 (H,wt=26): 7682 T((x \ 1) * R((x \ 1) \ 1,y,z),R(u,x,w)) = T(x \ R(x,y,z),u). [para(987(a,1),7680(a,2,1))]. given #7325 (H,wt=20): 7683 T(x \ R(x,y,z),R(u,x,w)) = T(x \ R(x,y,z),u). [para(987(a,1),7682(a,1,1))]. given #7326 (H,wt=27): 7684 K(R(x,y,z),y \ R(y,u,w)) = (y \ R(y,u,w)) / T(y \ R(y,u,w),x). [para(7683(a,1),2670(a,2,2))]. given #7327 (H,wt=23): 7685 K(R(x,y,z),y \ R(y,u,w)) != v5 | K(x,y \ R(y,u,w)) = v5. [para(7684(a,2),2688(a,1))]. given #7328 (H,wt=38): 5150 L(x \ ((y * (z * z)) / x),((x \ 1) * z) * z,((x \ 1) * z) * z) = (x \ y) / (1 / (((x \ 1) * z) * z)). [para(3285(a,1),2966(a,1,1))]. given #7329 (H,wt=38): 6882 K(R(x \ (x * y),z,u),R(y / w,w,K(x,y)) \ (x \ (x * y))) = K(R(x \ (x * y),z,u),w * K(x,y)). [para(2871(a,1),6736(a,1,2)),flip(a)]. given #7330 (H,wt=34): 7686 K(R(x \ (x * y),z,u),R(y / w,w,K(x,y)) \ (x \ (x * y))) = K(R(y,z,u),w * K(x,y)). [para(4(a,1),6882(a,2,1,1))]. given #7331 (H,wt=30): 7687 K(R(x \ (x * y),z,u),R(y / w,w,K(x,y)) \ (x \ (x * y))) = K(R(y,z,u),w). [hyper(272,a,6735,a(flip),b,7686,a),flip(a)]. given #7332 (H,wt=26): 7689 K(R(x,y,z),R(x / u,u,K(w,x)) \ (w \ (w * x))) = K(R(x,y,z),u). [para(4(a,1),7687(a,1,1,1))]. given #7333 (H,wt=22): 7690 K(R(x,y,z),R(x / u,u,K(w,x)) \ x) = K(R(x,y,z),u). [para(4(a,1),7689(a,1,2,2))]. given #7334 (H,wt=25): 7691 K(R(x,y,z),R(x / u,u,L(K(w,x),v5,v6)) \ x) = K(R(x,y,z),u). [para(4818(a,1),7690(a,1,2,1,3))]. given #7335 (H,wt=38): 7193 L(x,(x * y) * T(z,x),(x * (y * (x \ z))) * x) = (x * (y * (x \ z))) * ((x \ (x * (y * (x \ z)))) \ 1). [para(1151(a,1),7192(a,1,2))]. given #7336 (H,wt=36): 7692 (x * (y * (x \ z))) * ((x \ (x * (y * (x \ z)))) \ 1) = L(x,(x * y) * T(z,x),(x * y) * T(z,x)). [para(1151(a,1),7193(a,1,3)),flip(a)]. given #7337 (H,wt=38): 7194 L(x,y * T(x * z,x),(x * ((x \ y) * z)) * x) = (x * ((x \ y) * z)) * ((x \ (x * ((x \ y) * z))) \ 1). [para(1163(a,1),7192(a,1,2))]. given #7338 (H,wt=36): 7693 (x * ((x \ y) * z)) * ((x \ (x * ((x \ y) * z))) \ 1) = L(x,y * T(x * z,x),y * T(x * z,x)). [para(1163(a,1),7194(a,1,3)),flip(a)]. given #7339 (H,wt=38): 7635 (x * ((1 / x) * (x \ y))) \ (((x \ 1) * y) * L(z,x,x)) = L(L(z,x \ y,1 / x),(1 / x) * (x \ y),x). [para(7634(a,1),427(a,1,2))]. given #7340 (H,wt=36): 7694 (x * ((x * x) \ y)) \ (((x \ 1) * y) * L(z,x,x)) = L(L(z,x \ y,1 / x),(1 / x) * (x \ y),x). [para(3261(a,1),7635(a,1,1,2))]. given #7341 (H,wt=34): 7695 L(L(x,y \ z,1 / y),(1 / y) * (y \ z),y) = ((y \ 1) * z) \ (((y \ 1) * z) * L(x,y,y)). [para(3527(a,1),7694(a,1,1)),flip(a)]. given #7342 (H,wt=22): 7696 L(L(x,y \ z,1 / y),(1 / y) * (y \ z),y) = L(x,y,y). [hyper(272,a,4,a(flip),b,7695,a),flip(a)]. given #7343 (H,wt=20): 7698 L(L(x,y \ z,y),y * (y \ z),y \ 1) = L(x,y,y). [hyper(58,a,7256,a(flip),b,7696,a)]. given #7344 (H,wt=16): 7699 L(L(x,y \ z,y),z,y \ 1) = L(x,y,y). [para(5(a,1),7698(a,1,2))]. given #7345 (H,wt=39): 4050 ((x * ((1 / (x \ 1)) \ y)) * ((1 / (x \ 1)) \ y)) \ 1 = ((1 / (x \ 1)) \ y) \ ((x \ 1) * ((y * (x \ 1)) \ 1)). [para(3008(a,1),3818(a,2,2))]. given #7346 (H,wt=35): 7701 ((1 / (x \ 1)) \ y) \ ((x \ 1) * ((y * (x \ 1)) \ 1)) = ((x * (x \ y)) * ((1 / (x \ 1)) \ y)) \ 1. [para(72(a,1),4050(a,1,1,1,2,1)),flip(a)]. given #7347 (H,wt=31): 7705 ((1 / (x \ 1)) \ y) \ ((x \ 1) * ((y * (x \ 1)) \ 1)) = (y * ((1 / (x \ 1)) \ y)) \ 1. [para(5(a,1),7701(a,2,1,1))]. given #7348 (H,wt=27): 7708 ((1 / (x \ 1)) \ y) \ ((x \ 1) * ((y * (x \ 1)) \ 1)) = (y * (x \ y)) \ 1. [para(72(a,1),7705(a,2,1,2,1))]. given #7349 (H,wt=23): 7712 (x \ y) \ ((x \ 1) * ((y * (x \ 1)) \ 1)) = (y * (x \ y)) \ 1. [para(72(a,1),7708(a,1,1,1))]. given #7350 (H,wt=19): 7714 (x \ y) \ (x * ((y * x) \ 1)) = (y * (x \ y)) \ 1. [para(4808(a,1),7712(a,1,2))]. given #7351 (H,wt=19): 7715 ((x \ y) \ 1) \ (y \ (y / x)) = (x * (y \ x)) \ 1. [hyper(58,a,6575,a,b,7714,a)]. given #7352 (H,wt=39): 4512 (T(x,x \ 1) * (T(x,x \ 1) * T(x,x \ 1))) * y = T(x,x \ 1) * T(x * (y * T(x,x \ 1)),x \ 1). [para(3878(a,2),4508(a,2,2))]. given #7353 (H,wt=31): 7716 T(x,x \ 1) * T(x * (y * T(x,x \ 1)),x \ 1) = (x * (x * T(x,x \ 1))) * y. [para(3749(a,1),4512(a,1,1)),flip(a)]. given #7354 (H,wt=29): 7717 T(x,x \ 1) * T(x * (y * T(x,x \ 1)),x \ 1) = (x * T(x * x,x)) * y. [para(2771(a,1),7716(a,2,1,2))]. given #7355 (H,wt=27): 7719 T(x,x \ 1) * T(x * (y * T(x,x \ 1)),x \ 1) = ((x * x) * x) * y. [hyper(272,a,204,a(flip),b,7717,a),flip(a)]. given #7356 (H,wt=25): 7720 T(x,x \ 1) * T((x * y) / (x \ 1),x \ 1) = ((x * x) * x) * y. [para(4067(a,1),7719(a,1,2,1))]. given #7357 (H,wt=21): 7721 T(x,x \ 1) * ((x \ 1) \ (x * y)) = ((x * x) * x) * y. [para(100(a,1),7720(a,1,2))]. given #7358 (H,wt=15): 7722 ((x * y) * x) * x = ((x * x) * x) * y. [hyper(6763,a,7721,a)]. given #7359 (H,wt=15): 7723 ((x * x) * x) * y = (x * x) * (x * y). [hyper(3255,a,7722,a),flip(a)]. given #7360 (H,wt=21): 7724 (((1 / x) * (1 / x)) * (1 / x)) * y = (x \ (y / x)) / x. [hyper(272,a,5880,a(flip),b,7723,a),flip(a)]. given #7361 (H,wt=19): 7726 ((x \ 1) * (x \ (1 / x))) * y = (x \ (y / x)) / x. [para(4880(a,1),7724(a,1,1))]. given #7362 (H,wt=17): 7727 (x \ (x \ (1 / x))) * y = (x \ (y / x)) / x. [para(4286(a,1),7726(a,1,1))]. given #7363 (H,wt=21): 7730 x * (x * (y \ (y \ (1 / y)))) = (y \ ((x * x) / y)) / y. [hyper(3013,a,7727,a)]. given #7364 (H,wt=19): 7732 (x \ ((y * y) / x)) / x = y * (x \ ((x \ y) / x)). [para(7133(a,1),7730(a,1,2)),flip(a)]. given #7365 (H,wt=23): 7725 (x * x) * (x * (y * (x \ (x \ (x \ 1))))) = T(y,x * (x * x)). [hyper(58,a,6582,a(flip),b,7723,a),flip(a)]. given #7366 (H,wt=21): 7734 (x * x) * (x * ((x * x) \ (y / x))) = T(y,x * (x * x)). [para(6850(a,1),7725(a,1,2,2))]. given #7367 (H,wt=19): 7735 (x * x) * ((x \ 1) * (y / x)) = T(y,x * (x * x)). [para(3527(a,1),7734(a,1,2))]. given #7368 (H,wt=17): 7736 T(x,x \ 1) * (y / x) = T(y,x * (x * x)). [hyper(58,a,4523,a(flip),b,7735,a)]. given #7369 (H,wt=13): 7737 T(x,y * (y * y)) = T(x,y \ 1). [hyper(58,a,3786,a(flip),b,7736,a),flip(a)]. given #7370 (H,wt=23): 7728 (((1 / x) * y) * ((1 / x) * y)) / x = y * ((x \ (y / x)) / x). [para(7726(a,1),7065(a,2,2))]. given #7371 (H,wt=19): 7738 ((x \ y) * (x \ y)) / x = y * ((x \ (y / x)) / x). [para(6267(a,1),7728(a,1,1))]. given #7372 (H,wt=19): 7739 ((x \ y) / x) * (y / x) = y * ((x \ (y / x)) / x). [hyper(58,a,4040,a(flip),b,7738,a)]. given #7373 (H,wt=23): 7733 (x \ (1 / x)) * ((1 / x) * (y * y)) = y * (x \ ((x \ y) / x)). [hyper(58,a,5056,a,b,7732,a)]. given #7374 (H,wt=23): 7742 (x \ (1 / x)) * (y * (y * (1 / x))) = y * (x \ ((x \ y) / x)). [para(2956(a,1),7733(a,1,2))]. given #7375 (H,wt=23): 7743 (x \ 1) * (x \ (y * (y * (1 / x)))) = y * (x \ ((x \ y) / x)). [hyper(58,a,3787,a(flip),b,7742,a)]. given #7376 (H,wt=19): 7744 (x * x) \ (x \ (y * y)) = y * (x \ ((x \ y) / x)). [hyper(58,a,7490,a(flip),b,7743,a)]. given #7377 (H,wt=27): 7745 x * (T(y,z) \ ((T(y,z) \ x) / T(y,z))) = (y * y) \ (T(y,z) \ (x * x)). [para(3155(a,1),7744(a,1,1)),flip(a)]. given #7378 (H,wt=29): 7731 ((x * x) \ ((x * x) \ (1 / (x * x)))) * y = x \ (x \ ((x * x) \ (y / (x * x)))). [hyper(272,a,3009,a(flip),b,7727,a),flip(a)]. given #7379 (H,wt=29): 7747 ((x * x) \ ((x * x) \ (x \ (x \ 1)))) * y = x \ (x \ ((x * x) \ (y / (x * x)))). [para(3009(a,1),7731(a,1,1,2,2))]. given #7380 (H,wt=29): 7748 (x \ (x \ (x \ (x \ (x \ (x \ 1)))))) * y = x \ (x \ ((x * x) \ (y / (x * x)))). [para(3633(a,1),7747(a,1,1))]. given #7381 (H,wt=29): 7749 (x \ (x \ (x \ (x \ (x \ (x \ 1)))))) * y = x \ (x \ (x \ (x \ ((x * x) \ y)))). [para(3634(a,1),7748(a,2,2,2))]. given #7382 (H,wt=33): 7750 x * (x * (y \ (y \ (y \ (y \ (y \ (y \ 1))))))) = y \ (y \ (y \ (y \ ((y * y) \ (x * x))))). [hyper(3013,a,7749,a)]. given #7383 (H,wt=35): 7729 (x \ (((x \ (x \ (1 / x))) * (y / (x \ (x \ (1 / x))))) / x)) / x = y / (1 / (x \ (x \ (1 / x)))). [hyper(3591,a,7727,a),flip(a)]. given #7384 (H,wt=33): 7751 (x \ (((x \ (x \ (1 / x))) * (x * ((x * y) * x))) / x)) / x = y / (1 / (x \ (x \ (1 / x)))). [para(7273(a,1),7729(a,1,1,2,1,2))]. given #7385 (H,wt=31): 7752 (x \ (((x \ ((x * ((x * y) * x)) / x)) / x) / x)) / x = y / (1 / (x \ (x \ (1 / x)))). [para(7727(a,1),7751(a,1,1,2,1))]. given #7386 (H,wt=29): 7753 (x \ (((x \ T((x * y) * x,x)) / x) / x)) / x = y / (1 / (x \ (x \ (1 / x)))). [para(2774(a,2),7752(a,1,1,2,1,1,2))]. given #7387 (H,wt=26): 7754 (x \ ((L(x * y,x,x) / x) / x)) / x = y / (1 / (x \ (x \ (1 / x)))). [para(2918(a,1),7753(a,1,1,2,1,1))]. given #7388 (H,wt=25): 7755 (x \ ((((x \ 1) \ y) / x) / x)) / x = y / (1 / (x \ (x \ (1 / x)))). [para(2002(a,1),7754(a,1,1,2,1,1))]. given #7389 (H,wt=23): 7756 (x \ ((x * (y / x)) / x)) / x = y / (1 / (x \ (x \ (1 / x)))). [para(3481(a,1),7755(a,1,1,2,1))]. given #7390 (H,wt=19): 7757 x / (1 / (y \ (y \ (1 / y)))) = (y \ (y \ x)) / y. [para(2805(a,1),7756(a,1,1,2)),flip(a)]. given #7391 (H,wt=17): 7758 x / (y * ((y * 1) * y)) = (y \ (y \ x)) / y. [para(7273(a,1),7757(a,1,2))]. given #7392 (H,wt=15): 7759 (x \ (x \ y)) / x = y / (x * (x * x)). [para(3(a,1),7758(a,1,2,2,1)),flip(a)]. given #7393 (H,wt=27): 7760 x / ((y * y) * ((y * y) * (y * y))) = y \ (y \ ((y * y) \ ((y * y) \ x))). [hyper(3062,a,7759,a),flip(a)]. given #7394 (H,wt=27): 7761 x / ((y * y) * ((y * y) * (y * y))) = y \ (y \ (y \ (y \ (y \ (y \ x))))). [para(3633(a,1),7760(a,2,2,2))]. given #7395 (H,wt=27): 7762 x / ((y * y) * (y * (y * (y * y)))) = y \ (y \ (y \ (y \ (y \ (y \ x))))). [para(2956(a,1),7761(a,1,2,2))]. given #7396 (H,wt=27): 7763 x / (y * (y * (((y * y) * y) * y))) = y \ (y \ (y \ (y \ (y \ (y \ x))))). [para(4430(a,1),7762(a,1,2))]. given #7397 (H,wt=27): 7764 x / (y * (y * (y * (y * (y * y))))) = y \ (y \ (y \ (y \ (y \ (y \ x))))). [para(3279(a,1),7763(a,1,2,2,2))]. given #7398 (H,wt=35): 7740 (x / y) * (((1 / y) \ ((x / y) / (1 / y))) / (1 / y)) = (T(x,y) / (1 / y)) * ((x / y) / (1 / y)). [para(2920(a,2),7739(a,1,1,1)),flip(a)]. given #7399 (H,wt=33): 7766 (x / y) * (((1 / y) \ ((x / y) / (1 / y))) / (1 / y)) = ((y \ 1) \ x) * ((x / y) / (1 / y)). [para(3350(a,1),7740(a,2,1))]. given #7400 (H,wt=30): 7767 (x / y) * (((1 / y) \ ((x / y) / (1 / y))) / (1 / y)) = ((y \ 1) \ x) * L(x,y,y). [para(3105(a,1),7766(a,2,2))]. given #7401 (H,wt=28): 7768 (x / y) * (((1 / y) \ ((x / y) / (1 / y))) / (1 / y)) = L((y * x) * x,y,y). [hyper(272,a,5941,a(flip),b,7767,a),flip(a)]. given #7402 (H,wt=27): 7769 (x / y) * (((1 / y) \ ((x / y) / (1 / y))) / (1 / y)) = x / (1 / (x * y)). [hyper(272,a,4654,a(flip),b,7768,a),flip(a)]. given #7403 (H,wt=24): 7770 (x / y) * (((1 / y) \ L(x,y,y)) / (1 / y)) = x / (1 / (x * y)). [para(3105(a,1),7769(a,1,2,1,2))]. given #7404 (H,wt=19): 7771 (x / y) * ((y * x) / (1 / y)) = x / (1 / (x * y)). [para(2970(a,1),7770(a,1,2,1))]. given #7405 (H,wt=17): 7772 (x / y) * (y * (x * y)) = x / (1 / (x * y)). [para(3589(a,1),7771(a,1,2))]. given #7406 (H,wt=35): 7746 x * (T(y,y \ 1) \ ((T(y,y \ 1) \ x) / T(y,y \ 1))) = (y * y) \ (T(x * x,y) * (1 / y)). [para(4280(a,1),7745(a,2,2))]. given #7407 (H,wt=33): 7773 x * (T(y,y \ 1) \ ((T(y,y \ 1) \ x) / T(y,y \ 1))) = (y \ (y \ T(x * x,y))) / y. [hyper(272,a,3571,a(flip),b,7746,a),flip(a)]. given #7408 (H,wt=31): 7774 x * (T(y,y \ 1) \ ((T(y,y \ 1) \ x) / T(y,y \ 1))) = y \ ((y * y) \ (x * x)). [hyper(272,a,7473,a(flip),b,7773,a),flip(a)]. given #7409 (H,wt=31): 7775 x * (T(y,y \ 1) \ ((T(x,y) * (1 / y)) / T(y,y \ 1))) = y \ ((y * y) \ (x * x)). [para(4280(a,1),7774(a,1,2,2,1))]. given #7410 (H,wt=31): 7776 x * (T((T(x,y) * (1 / y)) / T(y,y \ 1),y) * (1 / y)) = y \ ((y * y) \ (x * x)). [para(4280(a,1),7775(a,1,2))]. given #7411 (H,wt=29): 7777 x * ((T(T(x,y) * (1 / y),y) * (1 / y)) * (1 / y)) = y \ ((y * y) \ (x * x)). [para(4035(a,1),7776(a,1,2,1))]. given #7412 (H,wt=27): 7778 x * ((((y \ 1) * T(x,y)) * (1 / y)) * (1 / y)) = y \ ((y * y) \ (x * x)). [para(3127(a,1),7777(a,1,2,1,1))]. given #7413 (H,wt=25): 7779 x * (((y \ 1) * (T(x,y) / y)) * (1 / y)) = y \ ((y * y) \ (x * x)). [para(4676(a,1),7778(a,1,2,1))]. given #7414 (H,wt=21): 7780 x * ((y \ (y \ x)) * (1 / y)) = y \ ((y * y) \ (x * x)). [para(3146(a,1),7779(a,1,2,1))]. given #7415 (H,wt=19): 7781 x \ ((x * x) \ (y * y)) = y * ((x * x) \ (y / x)). [para(4031(a,1),7780(a,1,2)),flip(a)]. given #7416 (H,wt=19): 7782 x \ (y * (x \ (x \ y))) = y * ((x * x) \ (y / x)). [para(4384(a,1),7781(a,1,2))]. given #7417 (H,wt=29): 7783 x * (x * T((y \ (1 / y)) * (y \ (1 / y)),z)) = y \ (x * ((y * y) \ (x / y))). [para(7782(a,1),7614(a,2,2))]. given #7418 (H,wt=27): 7784 x * (x * T((y \ ((1 / y) / y)) / y,z)) = y \ (x * ((y * y) \ (x / y))). [para(4541(a,1),7783(a,1,2,2,1))]. given #7419 (H,wt=27): 7785 x * (x * T((y \ (y \ (y \ 1))) / y,z)) = y \ (x * ((y * y) \ (x / y))). [para(3132(a,1),7784(a,1,2,2,1,1,2))]. given #7420 (H,wt=25): 7786 x * (x * (y \ (y \ (y \ (y \ 1))))) = y \ (x * ((y * y) \ (x / y))). [para(100(a,1),7785(a,1,2,2))]. given #7421 (H,wt=23): 7787 x \ (y * ((x * x) \ (y / x))) = y * (x \ (x \ (x \ (x \ y)))). [para(6889(a,1),7786(a,1,2)),flip(a)]. given #7422 (H,wt=39): 4877 T((x * (y \ 1)) \ 1,1 / y) * ((1 / y) * ((x * (y \ 1)) \ 1)) = ((x * (y \ 1)) \ 1) * (T(x,y \ 1) \ 1). [para(4127(a,1),2226(a,2,2))]. given #7423 (H,wt=39): 6120 (T(x,y) \ (L(y,z,z) \ x)) * ((L(y,z,z) \ x) / T(x,y)) = ((L(y,z,z) \ x) / T(x,y)) * (L(y,z,z) \ 1). [para(5981(a,1),306(a,1,2)),flip(a)]. given #7424 (H,wt=39): 6148 L(x * ((1 / T(y / z,y)) * 1),T(y / z,y),T(y / z,y)) = L(x,T(y / z,y),T(y / z,y)) * (y \ z). [para(3041(a,1),5940(a,2,2))]. given #7425 (H,wt=37): 7790 L(x * (1 / T(y / z,y)),T(y / z,y),T(y / z,y)) = L(x,T(y / z,y),T(y / z,y)) * (y \ z). [para(3(a,1),6148(a,1,1,2))]. given #7426 (H,wt=39): 6387 T(K(x,y) * z,u) * T(K(y,x),T(w,T(K(x,y) * z,u))) = K(K(y,x),w) * (K(y,x) * T(z * K(x,y),u)). [para(3881(a,1),5441(a,1,2)),flip(a)]. given #7427 (H,wt=35): 7791 T(K(x,y) * z,u) * T(K(y,x),T(w,T(K(x,y) * z,u))) = K(y,T(x,w)) * T(z * K(x,y),u). [hyper(272,a,5254,a(flip),b,6387,a),flip(a)]. given #7428 (H,wt=35): 7792 T(K(x,y) * z,u) * K(y,T(x,T(w,T(K(x,y) * z,u)))) = K(y,T(x,w)) * T(z * K(x,y),u). [para(5238(a,2),7791(a,1,2))]. given #7429 (H,wt=39): 6974 (((x \ 1) \ y) / (y / x)) * (((x * T(x,y)) \ ((x \ 1) \ y)) * z) = ((y / x) \ ((x \ 1) \ y)) * ((y / x) * z). [para(6972(a,1),5176(a,1,2,1,1))]. given #7430 (H,wt=37): 7793 (T(1 / x,y) \ x) * (((x * T(x,y)) \ ((x \ 1) \ y)) * z) = ((y / x) \ ((x \ 1) \ y)) * ((y / x) * z). [para(7423(a,1),6974(a,1,1))]. given #7431 (H,wt=39): 7546 (((x / y) \ 1) * z) * (K(y,y \ x) * (1 / (x / y))) = ((1 / (x / y)) * z) * ((x / y) \ ((x / y) \ (y \ x))). [para(4003(a,1),7545(a,1,2))]. given #7432 (H,wt=37): 7794 ((1 / (x / y)) * z) * ((x / y) \ ((x / y) \ (y \ x))) = (((x / y) \ 1) * z) * (K(y,y \ x) / (x / y)). [para(5580(a,1),7546(a,1,2)),flip(a)]. given #7433 (H,wt=33): 7795 ((1 / (x / y)) * z) * ((x / y) \ ((x / y) \ (y \ x))) = (((x / y) \ 1) * z) * (1 / (y \ x)). [para(2874(a,1),7794(a,2,2))]. given #7434 (H,wt=31): 7796 ((1 / (x / y)) * z) * ((x / y) \ K(y,y \ x)) = (((x / y) \ 1) * z) * (1 / (y \ x)). [para(2838(a,1),7795(a,1,2,2))]. given #7435 (H,wt=27): 7797 ((1 / (x / y)) * z) * ((y \ x) \ 1) = (((x / y) \ 1) * z) * (1 / (y \ x)). [para(4504(a,1),7796(a,1,2))]. given #7436 (H,wt=23): 7798 (((x / y) \ 1) * z) * (1 / (y \ x)) = ((y / x) * z) * (x \ y). [hyper(58,a,7435,a(flip),b,7797,a),flip(a)]. given #7437 (H,wt=25): 7799 ((x \ 1) \ (y \ 1)) \ (z * (1 / (y \ x))) = ((y / x) * z) * (x \ y). [hyper(58,a,7491,a,b,7798,a)]. given #7438 (H,wt=39): 7559 (((T(x \ 1,y) \ 1) \ 1) \ z) * (u * (T(x \ 1,y) \ 1)) = (T(1 / x,y) \ (z * u)) * (T(x \ 1,y) \ 1). [para(5438(a,1),7558(a,1,1,1)),flip(a)]. given #7439 (H,wt=39): 7741 (((1 / x) \ (x \ y)) / (1 / x)) * (x * (y * (1 / x))) = (x \ y) * (((1 / x) \ ((x \ y) / (1 / x))) / (1 / x)). [para(3588(a,1),7739(a,1,2))]. given #7440 (H,wt=39): 7788 T((x * (y \ 1)) \ 1,y \ 1) * ((1 / y) * ((x * (y \ 1)) \ 1)) = ((x * (y \ 1)) \ 1) * (T(x,y \ 1) \ 1). [para(1967(a,1),4877(a,1,1))]. given #7441 (H,wt=35): 7801 (x \ (1 / (y \ 1))) * ((1 / y) * ((x * (y \ 1)) \ 1)) = ((x * (y \ 1)) \ 1) * (T(x,y \ 1) \ 1). [para(4624(a,1),7788(a,1,1))]. given #7442 (H,wt=31): 7802 ((x * (y \ 1)) \ 1) * (T(x,y \ 1) \ 1) = (x \ y) * ((1 / y) * ((x * (y \ 1)) \ 1)). [para(72(a,1),7801(a,1,1,2)),flip(a)]. given #7443 (H,wt=27): 7804 ((x * (y \ 1)) \ 1) * (T(x,y \ 1) \ 1) = (x \ y) * ((x \ y) * (1 / y)). [para(6897(a,1),7802(a,2,2))]. given #7444 (H,wt=39): 7789 (T(x,y) \ (L(y,z,z) \ x)) * ((L(y,z,z) \ x) / T(x,y)) = ((x * L(y,z,z)) \ T(x,y)) * (L(y,z,z) \ 1). [para(5708(a,1),6120(a,2,1))]. given #7445 (H,wt=37): 7805 (T(x,y) \ (L(y,z,z) \ x)) * ((L(y,z,z) \ x) / T(x,y)) = L(T(y \ 1,x),z,z) * (L(y,z,z) \ 1). [para(6154(a,1),7789(a,2,1))]. given #7446 (H,wt=34): 7806 (T(x,y) \ (L(y,z,z) \ x)) * ((L(y,z,z) \ x) / T(x,y)) = L(T(y \ 1,x) * (y \ 1),z,z). [hyper(272,a,5947,a(flip),b,7805,a),flip(a)]. given #7447 (H,wt=32): 7807 (T(x,y) \ (L(y,z,z) \ x)) * ((L(y,z,z) \ x) / T(x,y)) = L(y \ T(1 / y,x),z,z). [para(689(a,1),7806(a,2,1))]. given #7448 (H,wt=28): 7808 (L(x,y,y) \ 1) * ((L(x,y,y) \ z) / T(z,x)) = L(x \ T(1 / x,z),y,y). [para(5981(a,1),7807(a,1,1))]. given #7449 (H,wt=28): 7809 (L(x,y,y) \ 1) * ((z * L(x,y,y)) \ T(z,x)) = L(x \ T(1 / x,z),y,y). [para(5708(a,1),7808(a,1,2))]. given #7450 (H,wt=26): 7811 (L(x,y,y) \ 1) * L(T(x \ 1,z),y,y) = L(x \ T(1 / x,z),y,y). [para(6154(a,1),7809(a,1,2))]. given #7451 (H,wt=39): 7800 ((x * ((1 / x) * y)) / (1 / x)) * (x * (y * (1 / x))) = (x \ y) * (((1 / x) \ ((x \ y) / (1 / x))) / (1 / x)). [para(3122(a,1),7741(a,1,1,1))]. given #7452 (H,wt=37): 7812 (x \ y) * (((1 / x) \ ((x \ y) / (1 / x))) / (1 / x)) = (x * (((1 / x) * y) * x)) * (x * (y * (1 / x))). [para(3589(a,1),7800(a,1,1)),flip(a)]. given #7453 (H,wt=31): 7813 (x \ y) * (((1 / x) \ ((x \ y) / (1 / x))) / (1 / x)) = (y * x) * (x * (y * (1 / x))). [para(186(a,1),7812(a,2,1))]. given #7454 (H,wt=27): 7814 (x \ y) * (((1 / x) \ ((x \ y) / (1 / x))) / (1 / x)) = y / (1 / (y * x)). [hyper(272,a,6168,a(flip),b,7813,a),flip(a)]. given #7455 (H,wt=27): 7815 (x \ y) * (((1 / x) \ (x * (y * (1 / x)))) / (1 / x)) = y / (1 / (y * x)). [para(3588(a,1),7814(a,1,2,1,2))]. given #7456 (H,wt=27): 7816 (x \ y) * ((x * ((x \ 1) \ (y * (1 / x)))) / (1 / x)) = y / (1 / (y * x)). [para(725(a,1),7815(a,1,2,1))]. given #7457 (H,wt=23): 7817 (x \ y) * ((x * (x * (y / x))) / (1 / x)) = y / (1 / (y * x)). [para(3835(a,1),7816(a,1,2,1,2))]. given #7458 (H,wt=21): 7818 (x \ y) * ((y / (1 / x)) / (1 / x)) = y / (1 / (y * x)). [para(3586(a,1),7817(a,1,2,1))]. given #7459 (H,wt=21): 7819 (x \ y) * (((1 / x) * (1 / x)) \ y) = y / (1 / (y * x)). [para(3249(a,1),7818(a,1,2))]. given #7460 (H,wt=21): 7820 (x \ y) * (((x \ 1) * (x \ 1)) \ y) = y / (1 / (y * x)). [para(4115(a,1),7819(a,1,2,1))]. given #7461 (H,wt=19): 7821 (x \ y) * ((x \ (1 / x)) \ y) = y / (1 / (y * x)). [para(684(a,1),7820(a,1,2,1))]. given #7462 (H,wt=19): 7822 (x \ y) * (x * ((x \ 1) \ y)) = y / (1 / (y * x)). [para(4045(a,1),7821(a,1,2))]. given #7463 (H,wt=41): 1458 (x * (y * z)) \ ((x * y) * ((L(z,y,x) \ z) * ((x * y) \ (x * (y * z))))) = T(a(x,y,z),(x * y) \ (x * (y * z))). [para(1457(a,2),646(a,1,1)),flip(a)]. given #7464 (H,wt=36): 7823 (x * (y * z)) \ ((x * y) * ((L(z,y,x) \ z) * L(z,y,x))) = T(a(x,y,z),(x * y) \ (x * (y * z))). [para(13(a,2),1458(a,1,2,2,2))]. given #7465 (H,wt=26): 7824 T(a(x,y,z),(x * y) \ (x * (y * z))) = (x * (y * z)) \ ((x * y) * z). [para(2493(a,1),7823(a,1,2,2)),flip(a)]. given #7466 (H,wt=19): 7825 T(a(x,y,z),(x * y) \ (x * (y * z))) = a(x,y,z). [hyper(272,a,9,a,b,7824,a),flip(a)]. given #7467 (H,wt=14): 7826 T(a(x,y,z),L(z,y,x)) = a(x,y,z). [para(13(a,2),7825(a,1,2))]. given #7468 (H,wt=14): 7827 T(L(x,y,z),a(z,y,x)) = L(x,y,z). [hyper(49,a,7826,a)]. given #7469 (H,wt=8): 7828 T(x,a(y,z,x)) = x. [hyper(132,a,7827,a)]. given #7470 (H,wt=11): 7829 T(a(x,y,z),z) = a(x,y,z). [hyper(49,a,7828,a)]. given #7471 (H,wt=13): 7830 a(x,y,z) * z = z * a(x,y,z). [hyper(114,a,7828,a(flip),b,17,a(flip))]. given #7472 (H,wt=15): 7831 x * (a(y,z,x) \ 1) = a(y,z,x) \ x. [hyper(112,a,7828,a(flip),b,2843,a(flip)),flip(a)]. given #7473 (H,wt=17): 7833 a(x \ 1,y,z) \ z = z * (L(x,z,y) \ x). [para(2533(a,2),7831(a,1,2)),flip(a)]. given #7474 (H,wt=41): 4129 L(((1 / x) \ 1) \ y,(1 / x) \ 1,((x \ 1) \ z) \ 1) = L(z \ 1,1 / x,1 / x) \ (((z \ 1) * (1 / x)) * y). [para(4104(a,2),2018(a,1,3))]. given #7475 (H,wt=37): 7834 L(x \ 1,1 / y,1 / y) \ (((x \ 1) * (1 / y)) * z) = L(y \ z,(1 / y) \ 1,((y \ 1) \ x) \ 1). [para(74(a,1),4129(a,1,1,1)),flip(a)]. given #7476 (H,wt=33): 7835 L(x \ 1,1 / y,1 / y) \ (((x \ 1) * (1 / y)) * z) = L(y \ z,y,((y \ 1) \ x) \ 1). [para(74(a,1),7834(a,2,2))]. given #7477 (H,wt=41): 6887 (K(x,y) \ (R(T(x,z),u,w) * (K(x,y) * v5))) / (K(x,y) \ (R(T(x,z),u,w) * v5)) = R(K(x,y),R(T(x,z),u,w),v5). [para(6764(a,1),1095(a,2,1,2)),flip(a)]. given #7478 (H,wt=41): 7836 (K(x,y) * (R(T(y,z),u,w) * (K(y,x) * v5))) / (K(y,x) \ (R(T(y,z),u,w) * v5)) = R(K(y,x),R(T(y,z),u,w),v5). [para(3882(a,1),6887(a,1,1))]. given #7479 (H,wt=33): 7837 (R(T(x,y),z,u) * w) / (K(x,v5) \ (R(T(x,y),z,u) * w)) = R(K(x,v5),R(T(x,y),z,u),w). [para(7227(a,1),7836(a,1,1))]. given #7480 (H,wt=15): 7838 R(K(x,y),R(T(x,z),u,w),v5) = K(x,y). [hyper(280,a,7837,a),flip(a)]. given #7481 (H,wt=13): 7841 R(K(x,y),R(x,z,u),w) = K(x,y). [para(97(a,1),7838(a,1,2,1))]. given #7482 (H,wt=21): 7842 K(x,(R(x,y,z) * u) / w) = K(x,R(x,y,z) / (w / u)). [hyper(58,a,7343,a(flip),b,7841,a)]. given #7483 (H,wt=42): 1402 (x * (y * z)) * ((u * (((x * y) * L(z,y,x)) \ (x * y))) / u) = (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)). [para(87(a,1),1107(a,1,1))]. given #7484 (H,wt=39): 7843 (x * (y * z)) * ((u * ((x * (y * z)) \ (x * y))) / u) = (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)). [para(87(a,1),1402(a,1,2,1,2,1))]. given #7485 (H,wt=35): 7844 (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)) = x * ((y * z) * ((u * ((y * z) \ y)) / u)). [hyper(1365,a,7843,a),flip(a)]. given #7486 (H,wt=33): 7845 (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)) = x * (y * (z * ((u * (z \ 1)) / u))). [para(1107(a,1),7844(a,2,2))]. given #7487 (H,wt=28): 7846 L(x,y,z) * ((u * (L(x,y,z) \ 1)) / u) = L(x * ((u * (x \ 1)) / u),y,z). [hyper(429,a,7845,a),flip(a)]. given #7488 (H,wt=23): 7847 L(x * ((y * (x \ 1)) / y),z,u) = y \ T(y,L(x,z,u) \ 1). [hyper(58,a,2572,a(flip),b,7846,a),flip(a)]. given #7489 (H,wt=21): 7848 L(x \ T(x,y \ 1),z,u) = x \ T(x,L(y,z,u) \ 1). [para(2572(a,1),7847(a,1,1))]. given #7490 (H,wt=19): 7849 L(x \ T(x,y \ 1),z,u) = K(x,L(y,z,u) \ 1). [hyper(272,a,2672,a,b,7848,a),flip(a)]. given #7491 (H,wt=17): 7850 L(K(x,y \ 1),z,u) = K(x,L(y,z,u) \ 1). [para(2672(a,2),7849(a,1,1))]. given #7492 (H,wt=17): 7851 K(x,L(y \ 1,z,u) \ 1) = L(K(x,y),z,u). [para(2372(a,1),7850(a,1,1)),flip(a)]. given #7493 (H,wt=15): 7856 L(K(x,y),z,u) \ 1 = L(K(y,x),z,u). [hyper(58,a,4819,a(flip),b,7851,a)]. given #7494 (H,wt=15): 7857 K(x,L(y,z / y,u)) = L(K(x,y),z,u). [hyper(6311,a,7856,a)]. given #7495 (H,wt=12): 7862 L(K(x,y),z,K(u,y)) = K(x,y). [para(5738(a,1),7857(a,1,2)),flip(a)]. given #7496 (H,wt=12): 7863 K(L(x,y,K(z,u)),u) = K(x,u). [hyper(6535,a,7862,a)]. given #7497 (H,wt=15): 7860 L(K(x,y),z * y,u) = K(x,L(y,z,u)). [para(6(a,1),7857(a,1,2,2)),flip(a)]. given #7498 (H,wt=15): 7864 K(x \ (K(y,z) * u),z) = K(x \ u,z). [hyper(58,a,5816,a(flip),b,7863,a)]. given #7499 (H,wt=15): 7868 K(x \ (y * K(z,u)),z) = K(x \ y,z). [para(5315(a,1),7864(a,1,1,2)),flip(a)]. given #7500 (H,wt=17): 7861 L(K(x,y \ z),z,u) = K(x,L(y \ z,y,u)). [para(72(a,1),7857(a,1,2,2)),flip(a)]. given #7501 (H,wt=18): 7858 1 / L(K(x,y),z,u) != w | L(K(y,x),z,u) = w. [para(7856(a,1),280(a,1,2))]. given #7502 (H,wt=18): 7870 L(K(x,y \ z),z,u) = K(x,(u * y) \ (u * z)). [para(89(a,1),7861(a,2,2))]. given #7503 (H,wt=15): 7875 K(x,(y * z) \ (y * x)) = K(x,z \ x). [hyper(58,a,2667,a(flip),b,7870,a),flip(a)]. given #7504 (H,wt=15): 7877 K(x,(y \ z) \ x) = K(x,z \ (y * x)). [para(5(a,1),7875(a,1,2,1)),flip(a)]. given #7505 (H,wt=17): 7876 T(x,(y * z) \ (y * x)) = x * K(x,z \ x). [hyper(114,a,7875,a(flip),b,2672,a(flip)),flip(a)]. given #7506 (H,wt=15): 7880 T(x,(y * z) \ (y * x)) = T(x,z \ x). [hyper(272,a,2674,a,b,7876,a),flip(a)]. given #7507 (H,wt=15): 7881 T(x,(y \ z) \ x) = T(x,z \ (y * x)). [para(5(a,1),7880(a,1,2,1)),flip(a)]. given #7508 (H,wt=17): 7879 K(x,K(y,z \ (u * y))) = K(x,K(u \ z,y)). [para(7877(a,1),5559(a,1,2))]. given #7509 (H,wt=17): 7882 K(x,T(y,z \ (u * y))) = K(x,T(y,z \ u)). [para(7881(a,1),6057(a,1,2))]. given #7510 (H,wt=17): 7883 K(x,K(y,z \ (u * y))) = K(x,K(y,z \ u)). [hyper(272,a,5543,a(flip),b,7879,a),flip(a)]. given #7511 (H,wt=17): 7884 K(x,T(y,(y \ z) \ u)) = K(x,T(y,z \ u)). [para(6337(a,2),7882(a,1,2))]. given #7512 (H,wt=17): 7886 K(x \ y,T(x,y \ z)) = K(x \ y,T(x,z)). [hyper(5340,a,7884,a),flip(a)]. given #7513 (H,wt=17): 7887 K(x \ y,T(x,y * z)) = K(x \ y,T(x,z)). [para(4(a,1),7886(a,1,2,2)),flip(a)]. given #7514 (H,wt=18): 7872 L(K(x,(y \ z) \ u),u,y) = K(x,z \ (y * u)). [para(437(a,1),7861(a,2,2))]. given #7515 (H,wt=18): 7874 K(x,L(y \ z,y,u)) = K(x,(u * y) \ (u * z)). [hyper(58,a,7861,a(flip),b,7870,a)]. given #7516 (H,wt=19): 7852 K(x,L(K(y,z),u,w) \ 1) = L(K(x,K(z,y)),u,w). [para(2878(a,1),7850(a,1,1,2)),flip(a)]. given #7517 (H,wt=17): 7891 L(K(x,K(y,z)),u,w) = K(x,L(K(y,z),u,w)). [para(7856(a,1),7852(a,1,2)),flip(a)]. given #7518 (H,wt=19): 7853 K(x,L(y \ z,u,w) \ 1) = L(K(x,z \ y),u,w). [para(4431(a,1),7850(a,1,1)),flip(a)]. given #7519 (H,wt=19): 7854 K(x,L(K(y,z \ 1),u,w)) = K(x,K(y,L(z,u,w))). [para(7850(a,2),5541(a,1,2))]. given #7520 (H,wt=19): 7865 K(x,L(y,z,u)) * K(y,x) = a(u,z * y,K(y,x)). [para(7860(a,1),6928(a,1,1))]. given #7521 (H,wt=19): 7869 K(x \ (y * (z * u)),u) = K(x \ (y * (u * z)),u). [para(6344(a,1),7868(a,1,1,2)),flip(a)]. given #7522 (H,wt=19): 7885 K(x,K(y * (z / u),u)) = K(x,K(u,(y * z) \ u)). [hyper(7082,a,7883,a)]. given #7523 (H,wt=17): 7894 K(x,K(y * (z / u),u)) = K(x,K(y * z,u)). [hyper(272,a,5559,a(flip),b,7885,a),flip(a)]. given #7524 (H,wt=19): 7892 K(x,L(K(y,z \ 1),u,w)) = L(K(z,K(x,y)),u,w). [para(5540(a,1),7891(a,1,1)),flip(a)]. given #7525 (H,wt=17): 7896 L(K(x,K(y,z)),u,w) = K(y,K(z,L(x,u,w))). [hyper(58,a,7854,a(flip),b,7892,a),flip(a)]. given #7526 (H,wt=17): 7897 L(K(x,K(y,z)),u,w) = K(x,K(y,L(z,u,w))). [para(5501(a,2),7896(a,1,1))]. given #7527 (H,wt=17): 7898 L(K(x,K(y,z)),u,w) = K(x,K(z,L(y,u,w))). [para(5504(a,1),7896(a,1,1))]. given #7528 (H,wt=17): 7900 K(x,L(K(y,z),u,w)) = K(x,K(z,L(y,u,w))). [hyper(58,a,7891,a(flip),b,7898,a)]. given #7529 (H,wt=17): 7901 K(L(K(x,y),z,u),w) = K(w,K(y,L(x,z,u))). [hyper(508,a,7900,a)]. given #7530 (H,wt=19): 7903 x * K(L(K(y,z),u,w),x) = T(x,K(z,L(y,u,w))). [hyper(114,a,7901,a,b,2672,a(flip))]. given #7531 (H,wt=17): 7904 T(x,L(K(y,z),u,w)) = T(x,K(z,L(y,u,w))). [hyper(2690,a,7903,a)]. given #7532 (H,wt=17): 7905 T(x,L(K(y,z),u,w)) = T(x,K(y,L(z,u,w))). [para(28(a,1),7904(a,1,2,1))]. given #7533 (H,wt=20): 7871 L(K(x,y \ (z \ u)),z \ u,z) = K(x,(z * y) \ u). [para(254(a,1),7861(a,2,2))]. given #7534 (H,wt=20): 7873 L(K(x,(x \ 1) \ y),y,z) = K(x,z \ ((z * y) * x)). [hyper(272,a,7078,a(flip),b,7870,a),flip(a)]. given #7535 (H,wt=18): 7909 L(K(x,x * y),y,z) = K(x,z \ ((z * y) * x)). [para(5968(a,1),7873(a,1,1))]. given #7536 (H,wt=18): 7912 L(K(x,y * x),y,z) = K(x,z \ ((z * y) * x)). [para(3189(a,2),7909(a,1,1))]. given #7537 (H,wt=20): 7910 T(x,y \ ((y * z) * x)) = x * L(K(x,x * z),z,y). [hyper(114,a,7909,a,b,2672,a(flip)),flip(a)]. given #7538 (H,wt=20): 7911 L(K(x,x * (y \ z)),y \ z,y) = K(x,y \ (z * x)). [para(5(a,1),7909(a,2,2,2,1))]. given #7539 (H,wt=21): 7855 (x * K(L(y \ 1,z,u) \ 1,w)) \ x = L(K(w,y),z,u). [hyper(58,a,3899,a,b,7851,a)]. given #7540 (H,wt=17): 7914 (x * L(K(y,z),u,w)) \ x = L(K(z,y),u,w). [para(4818(a,1),7855(a,1,1,2))]. given #7541 (H,wt=17): 7915 x / L(K(y,z),u,w) = x * L(K(z,y),u,w). [hyper(178,a,7914,a)]. given #7542 (H,wt=17): 7918 L(K(x,y),z,u) \ w = L(K(y,x),z,u) * w. [para(7914(a,1),3299(a,1,1)),flip(a)]. given #7543 (H,wt=17): 7919 L(K(x,y),z,u) * (L(K(y,x),z,u) * w) = w. [hyper(287,a,7918,a),flip(a)]. given #7544 (H,wt=17): 7920 L(K(x,y),z,u) * a(u,z,K(x,y)) = K(x,y). [hyper(114,a,6928,a(flip),b,7918,a)]. given #7545 (H,wt=18): 7917 (x * (y * K(z,u))) \ (x * y) = L(K(u,z),y,x). [para(87(a,1),7914(a,1,1))]. given #7546 (H,wt=20): 7916 x / L(K(y,z),u,w) != v5 | x * L(K(z,y),u,w) = v5. [para(7914(a,1),280(a,1,2))]. given #7547 (H,wt=20): 7921 L(K(x,y),z,u) \ w != v5 | L(K(y,x),z,u) * w = v5. [para(7919(a,1),287(a,1,2))]. given #7548 (H,wt=20): 7924 (x * (K(y,z) * u)) \ (x * u) = L(K(z,T(y,u)),u,x). [para(5228(a,1),7917(a,1,1,2))]. given #7549 (H,wt=18): 7925 L(K(x,T(y,L(y,z,u))),L(y,z,u),w) = K(x,y). [hyper(6273,a,7924,a),flip(a)]. given #7550 (H,wt=13): 7926 L(K(x,y),L(y,z,u),w) = K(x,y). [para(156(a,1),7925(a,1,1,2))]. given #7551 (H,wt=21): 7859 L(K(T(x,y),T(z,y)),u,w) = K(x,L(z,u / T(z,y),w)). [hyper(5345,a,7857,a),flip(a)]. given #7552 (H,wt=17): 7928 K(x,L(y,z / T(y,u),w)) = L(K(x,y),z,w). [para(5243(a,1),7859(a,1,1)),flip(a)]. given #7553 (H,wt=15): 7929 L(K(x,y),y * z,u) = K(x,L(y,z,u)). [para(170(a,1),7928(a,1,2,2)),flip(a)]. given #7554 (H,wt=15): 7930 K(x,L(y,y \ z,u)) = L(K(x,y),z,u). [para(239(a,1),7928(a,1,2,2))]. given #7555 (H,wt=19): 7934 K(x,y) * K(y,L(x,z,u)) = a(u,x * z,K(x,y)). [para(7929(a,1),6926(a,1,2))]. given #7556 (H,wt=21): 7878 K(x,L(y,z,u) \ (y * x)) = K(x,(x / L(y,z,u)) * y). [hyper(58,a,7361,a(flip),b,7877,a),flip(a)]. given #7557 (H,wt=21): 7895 K(x,y) * K(x,K(z * u,y)) = K(x,T(y,z * (u / y))). [para(7894(a,1),5528(a,1,2))]. given #7558 (H,wt=17): 7936 K(x,T(y,z * (u / y))) = K(x,T(y,z * u)). [hyper(58,a,5528,a(flip),b,7895,a),flip(a)]. given #7559 (H,wt=17): 7937 K(x,T(y,z * (y \ u))) = K(x,T(y,z * u)). [para(5365(a,1),7936(a,1,2))]. given #7560 (H,wt=21): 7922 a(x,y,K(z,u)) * (L(K(z,u),y,x) * w) = K(z,u) * w. [para(7919(a,1),7198(a,1,2)),flip(a)]. given #7561 (H,wt=21): 7927 K((x \ y) \ L(z,u,w),z) = K(y \ (x * L(z,u,w)),z). [hyper(58,a,6332,a(flip),b,7926,a),flip(a)]. given #7562 (H,wt=21): 7935 K(x,(x / L(y,z,u)) * y) = K(x,y * (L(y,z,u) \ x)). [para(1274(a,1),7878(a,1,2)),flip(a)]. given #7563 (H,wt=21): 7938 K(T(x,y * (x \ z)),u) = w / (K(u,T(x,y * z)) * w). [para(7937(a,1),3883(a,1,2,1)),flip(a)]. given #7564 (H,wt=17): 7940 K(T(x,y * (x \ z)),u) = K(T(x,y * z),u). [hyper(272,a,3883,a(flip),b,7938,a),flip(a)]. given #7565 (H,wt=17): 7941 K(T(x,y * (x \ z)),u) = K(x,T(u,y * z)). [hyper(272,a,5239,a(flip),b,7940,a),flip(a)]. given #7566 (H,wt=17): 7944 K(x,T(y,z * (x \ u))) = K(x,T(y,z * u)). [hyper(5338,a,7941,a)]. given #7567 (H,wt=17): 7945 K(x,T(y,z * (u / x))) = K(x,T(y,z * u)). [hyper(58,a,5434,a,b,7944,a)]. given #7568 (H,wt=20): 7942 K(T(x,y * (x \ z)),u) != w | K(x,T(u,y * z)) = w. [para(7940(a,2),5338(a,1))]. given #7569 (H,wt=21): 7939 L(K(x,y),z,u) * (K(y,x) * w) = a(u,z,K(x,y)) \ w. [hyper(112,a,3880,a(flip),b,7922,a),flip(a)]. given #7570 (H,wt=17): 7946 a(x,y,K(z,u)) \ w = a(x,y,K(u,z)) * w. [hyper(58,a,7199,a(flip),b,7939,a),flip(a)]. given #7571 (H,wt=15): 7947 1 / a(x,y,K(z,u)) = a(x,y,K(u,z)). [hyper(6703,a,7946,a)]. given #7572 (H,wt=17): 7948 (x * a(y,z,K(u,w))) \ x = a(y,z,K(w,u)). [hyper(4350,a,7946,a)]. given #7573 (H,wt=17): 7949 x / (a(y,z,K(u,w)) * x) = a(y,z,K(w,u)). [hyper(499,a,7946,a)]. given #7574 (H,wt=17): 7950 a(x,y,K(z,u)) \ w = a(x,y,K(z,u)) * w. [para(28(a,1),7946(a,1,1,3))]. given #7575 (H,wt=19): 7955 L(1 / x,K(y,z),u) \ 1 = a(x,u,K(y,z)) * x. [hyper(58,a,5933,a,b,7950,a)]. given #7576 (H,wt=20): 7951 x / (a(y,z,K(u,w)) * x) != v5 | a(y,z,K(w,u)) = v5. [para(7946(a,1),280(a,1,2))]. given #7577 (H,wt=18): 7956 1 / a(x,y,K(z,u)) != w | a(x,y,K(u,z)) = w. [para(3(a,1),7951(a,1,2))]. given #7578 (H,wt=20): 7952 x / a(y,z,K(u,w)) != v5 | x * a(y,z,K(w,u)) = v5. [para(7948(a,1),280(a,1,2))]. given #7579 (H,wt=22): 7889 K(L(x,y,z),(z \ u) \ (x * y)) = K(x,u \ (z * (x * y))). [hyper(58,a,6354,a(flip),b,7872,a)]. given #7580 (H,wt=22): 7899 (x * y) * K(z,K(u,L(w,y,x))) = x * (y * K(z,K(u,w))). [hyper(114,a,7897,a(flip),b,13,a(flip))]. given #7581 (H,wt=22): 7933 (x * (y * z)) * K(u,L(y,z,x)) = x * ((y * z) * K(u,y)). [hyper(114,a,7929,a(flip),b,13,a(flip))]. given #7582 (H,wt=22): 7959 (x * (y * z)) * K(u,L(y,z,x)) = x * (y * (z * K(u,y))). [para(4319(a,1),7933(a,2,2))]. given #7583 (H,wt=23): 7890 K((x \ y) \ z,u \ (x * z)) = K(y \ (x * z),(x \ u) \ z). [hyper(58,a,6332,a(flip),b,7872,a),flip(a)]. given #7584 (H,wt=23): 7913 L(K(L(x,y,z),y * L(x,y,z)),y,z) = K(L(x,y,z),y * x). [para(252(a,1),7912(a,2,2))]. given #7585 (H,wt=20): 7962 L(K(L(x,y,z),y * L(x,y,z)),y,z) = K(x,x * y). [hyper(272,a,6308,a(flip),b,7913,a),flip(a)]. given #7586 (H,wt=23): 7932 a(x,(y / T(z,u)) * z,K(z,w)) = L(K(w,z),y,x) * K(z,w). [para(7928(a,1),7865(a,1,1)),flip(a)]. given #7587 (H,wt=19): 7964 a(x,(y / T(z,u)) * z,K(z,w)) = a(x,y,K(z,w)). [hyper(272,a,6928,a(flip),b,7932,a),flip(a)]. given #7588 (H,wt=17): 7966 a(x,y * K(z,u),K(z,w)) = a(x,y,K(z,w)). [para(3990(a,1),7964(a,1,2))]. given #7589 (H,wt=17): 7968 a(x,T(y,K(z,u)),K(z,w)) = a(x,y,K(z,w)). [para(5507(a,1),7966(a,1,2))]. given #7590 (H,wt=15): 7969 a(x,y,T(K(z,u),y)) = a(x,y,K(z,u)). [hyper(58,a,6594,a(flip),b,7968,a)]. given #7591 (H,wt=15): 7970 a(x,y,K(z,T(u,y))) = a(x,y,K(z,u)). [para(5238(a,2),7969(a,1,3))]. given #7592 (H,wt=17): 7971 a(x,y,K(z,u * y)) = a(x,y,K(z,y * u)). [para(6064(a,1),7970(a,1,3))]. given #7593 (H,wt=23): 7943 K(x,T((y * (x \ z)) \ u,y * z)) = K(x,u / (y * (x \ z))). [hyper(5349,a,7941,a),flip(a)]. given #7594 (H,wt=23): 7972 K(x,T((y * z) \ (u * x),y * z)) = K(x,u / (y * (x \ z))). [hyper(7094,a,7943,a)]. given #7595 (H,wt=19): 7973 K(x,y / (z * (x \ u))) = K(x,((z * u) / y) \ x). [hyper(58,a,7351,a(flip),b,7972,a),flip(a)]. given #7596 (H,wt=24): 7902 K(x,K(y,L(z,u,w))) != v5 \ v6 | v5 * K(L(K(z,y),u,w),x) = v6. [para(7900(a,1),4205(a,1))]. given #7597 (H,wt=24): 7906 T(L(K(x,y),z,u) \ w,K(x,L(y,z,u))) = w / L(K(x,y),z,u). [hyper(2811,a,7905,a),flip(a)]. given #7598 (H,wt=24): 7907 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K(x,(z * (x \ y)) \ u). [para(6877(a,1),7871(a,1,1))]. given #7599 (H,wt=24): 7953 T(x / a(y,z,K(u,w)),a(y,z,K(u,w))) = a(y,z,K(u,w)) * x. [hyper(347,a,7950,a)]. given #7600 (H,wt=24): 7974 T(L(K(x,y),z,u) * w,K(y,L(x,z,u))) = w / L(K(y,x),z,u). [para(7918(a,1),7906(a,1,1))]. given #7601 (H,wt=24): 7975 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K(x,(z * y) \ (u * x)). [hyper(272,a,7076,a(flip),b,7907,a),flip(a)]. given #7602 (H,wt=24): 7976 T(L(K(x,y),z,u) * w,K(y,L(x,z,u))) = w * L(K(x,y),z,u). [hyper(272,a,7915,a(flip),b,7974,a),flip(a)]. given #7603 (H,wt=24): 7977 T(x * L(K(y,z),u,w),K(z,L(y,u,w))) = L(K(y,z),u,w) * x. [hyper(2782,a,7976,a)]. given #7604 (H,wt=25): 7867 K(x \ y,x) * ((x \ (K(z,x) * y)) \ u) = ((K(z,x) * y) / x) \ u. [para(7864(a,1),3950(a,1,1))]. given #7605 (H,wt=23): 7978 K(x \ y,x) * ((T(x,z) \ y) \ u) = ((K(z,x) * y) / x) \ u. [para(3892(a,1),7867(a,1,2,1))]. given #7606 (H,wt=23): 7979 K(x \ y,x) * ((T(x,z) \ y) \ u) = (K(z,x) * (y / x)) \ u. [para(5741(a,1),7978(a,2,1))]. given #7607 (H,wt=25): 7958 (x * y) * z != x * (y * K(u,K(w,v5))) | K(u,K(w,L(v5,y,x))) = z. [para(7899(a,1),38(a,1)),flip(a)]. given #7608 (H,wt=26): 7888 L(T(K(x \ y,T(x,z)),z),z,y) = (y * (K(x \ y,x) * z)) / (y * z). [para(7887(a,1),6748(a,1,1,1))]. given #7609 (H,wt=22): 7980 (x * (K(y \ x,y) * z)) / (x * z) = L(K(y \ x,y),z,x). [para(5248(a,1),7888(a,1,1)),flip(a)]. given #7610 (H,wt=22): 7981 L(K(x \ y,x),z,y) * (y * z) = y * (K(x \ y,x) * z). [hyper(125,a,7980,a)]. given #7611 (H,wt=27): 7893 K((x * (y * z)) \ (x * ((z * u) * y)),y) = K(L(L(u,z,y),y * z,x),y). [para(427(a,1),7869(a,2,1))]. given #7612 (H,wt=24): 7984 K((x * (y * z)) \ (x * ((z * u) * y)),y) = K(L(u,y * z,x),y). [hyper(272,a,6284,a(flip),b,7893,a),flip(a)]. given #7613 (H,wt=24): 7986 K((x * y) \ (z \ (x * ((y * u) * z))),z) = K(L(u,z * y,x),z). [hyper(58,a,7089,a(flip),b,7984,a)]. given #7614 (H,wt=28): 7908 L(K(x,(y * z) \ ((u \ w) * x)),u \ w,u) = K(x,(u * (y * (z / x))) \ w). [para(7080(a,1),7871(a,1,1))]. given #7615 (H,wt=23): 7987 K(x,(y * (z * (u / x))) \ w) = K(x,(y * (z * u)) \ (w * x)). [hyper(58,a,7975,a(flip),b,7908,a),flip(a)]. given #7616 (H,wt=28): 7983 L(K(x,y),z,y * x) * ((y * x) * z) = (y * x) * (K(y \ (y * x),y) * z). [para(4(a,1),7981(a,1,1,1,1))]. given #7617 (H,wt=24): 7988 L(K(x,y),z,y * x) * ((y * x) * z) = (y * x) * (K(x,y) * z). [para(4(a,1),7983(a,2,2,1,1))]. given #7618 (H,wt=29): 7923 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(6333(a,1),7920(a,1,1))]. given #7619 (H,wt=32): 7957 K(L(x,y * z,u),(u \ (u * (x * y))) \ (x * (y * z))) = K(x,L(L(z,y,x),x * y,u)). [para(427(a,1),7889(a,2,2))]. given #7620 (H,wt=28): 7990 K(L(x,y * z,u),(x * y) \ (x * (y * z))) = K(x,L(L(z,y,x),x * y,u)). [para(4(a,1),7957(a,1,2,1))]. given #7621 (H,wt=23): 7992 K(L(x,y * z,u),L(z,y,x)) = K(x,L(L(z,y,x),x * y,u)). [para(13(a,2),7990(a,1,2))]. given #7622 (H,wt=20): 7993 K(L(x,y * z,u),z) = K(x,L(L(z,y,x),x * y,u)). [hyper(6536,a,7992,a)]. given #7623 (H,wt=17): 7994 K(L(x,y * z,u),z) = K(x,L(z,x * y,u)). [hyper(272,a,6292,a(flip),b,7993,a),flip(a)]. given #7624 (H,wt=17): 7996 K(L(x,(x \ y) * z,u),z) = K(x,L(z,y,u)). [para(5(a,1),7994(a,2,2,2))]. given #7625 (H,wt=12): 7999 K(x,L(y,z,K(u,x))) = K(x,y). [para(5738(a,1),7996(a,1,1)),flip(a)]. given #7626 (H,wt=16): 7998 K(x,y \ K(z,L(x,u,w))) = K(x,y \ 1). [para(7996(a,1),5384(a,1,2,2))]. given #7627 (H,wt=18): 8000 K(x,L(L(y,z,K(u,x)),w,v5)) = K(x,L(y,w,v5)). [para(25(a,1),7999(a,1,2))]. given #7628 (H,wt=19): 8001 K(x,(K(y,x) * z) \ u) = K(x,z \ (K(x,y) * u)). [para(3897(a,1),7999(a,1,2))]. given #7629 (H,wt=15): 8004 K(x,y \ (K(x,z) * u)) = K(x,y \ u). [hyper(58,a,5820,a(flip),b,8001,a),flip(a)]. given #7630 (H,wt=15): 8006 K(x,y \ (z * K(x,u))) = K(x,y \ z). [para(5252(a,1),8004(a,1,2,2))]. given #7631 (H,wt=17): 8009 K(x,y \ T(z,T(u,x))) = K(x,y \ T(z,u)). [para(5419(a,1),8006(a,1,2,2))]. given #7632 (H,wt=19): 8003 K(x,y \ K(z,L(L(x,u,w),v5,v6))) = K(x,y \ 1). [para(7996(a,1),7998(a,1,2,2))]. given #7633 (H,wt=19): 8007 K(x,y \ (z * (K(u,x) * w))) = K(x,y \ (z * w)). [para(6538(a,1),8004(a,1,2,2)),flip(a)]. given #7634 (H,wt=19): 8008 K(x,y \ (z * (u / x))) = K(x,y \ (z * (x \ u))). [para(3661(a,1),8006(a,1,2,2))]. given #7635 (H,wt=19): 8010 K(x,y \ T(z,x / u)) = K(x,y \ T(z,u \ x)). [para(4482(a,1),8009(a,1,2,2))]. given #7636 (H,wt=21): 8002 K(x,(T(L(x,y,z),u) \ w) \ 1) = K(x,w \ L(x,y,z)). [hyper(58,a,4968,a(flip),b,7998,a),flip(a)]. given #7637 (H,wt=19): 8014 K(x,y \ T(L(x,z,u),w)) = K(x,y \ L(x,z,u)). [hyper(4460,a,8002,a)]. given #7638 (H,wt=19): 8015 K(x,y \ L(T(x,z),u,w)) = K(x,y \ L(x,u,w)). [para(20(a,2),8014(a,1,2,2))]. given #7639 (H,wt=27): 8011 K(x,(T(L(L(x,y,z),u,w),v5) \ v6) \ 1) = K(x,v6 \ L(L(x,y,z),u,w)). [hyper(58,a,4968,a(flip),b,8003,a),flip(a)]. given #7640 (H,wt=25): 8016 K(x,y \ T(L(L(x,z,u),w,v5),v6)) = K(x,y \ L(L(x,z,u),w,v5)). [hyper(4460,a,8011,a)]. given #7641 (H,wt=24): 8017 K(x,y \ L(T(x,x * z),u,w)) = K(x,y \ L(L(x,z,x),u,w)). [para(606(a,1),8016(a,1,2,2))]. given #7642 (H,wt=20): 8018 K(x,y \ L(L(x,z,x),u,w)) = K(x,y \ L(x,u,w)). [hyper(58,a,8015,a(flip),b,8017,a),flip(a)]. given #7643 (H,wt=27): 8020 K(x,(y \ 1) \ L(x,z,u)) * (K(y,x) * L(x,z,u)) = L(L(x,y,x),z,u). [para(8018(a,1),7673(a,1,1))]. given #7644 (H,wt=25): 8021 K(x,y * L(x,z,u)) * (K(y,x) * L(x,z,u)) = L(L(x,y,x),z,u). [para(5968(a,1),8020(a,1,1))]. given #7645 (H,wt=29): 7997 K(L(x,T(y * (x \ z),y),u),R(y,x \ z,y)) = K(x,L(R(y,x \ z,y),z,u)). [para(2333(a,1),7996(a,1,1,2))]. given #7646 (H,wt=24): 8023 K(L(x,T(y * (x \ z),y),u),y) = K(x,L(R(y,x \ z,y),z,u)). [hyper(6242,a,7997,a)]. given #7647 (H,wt=31): 8012 K(x,L(L(y,z,K(u,x)),K(u,x) * z,w)) = K(x,(w * (K(u,x) * z)) \ (w * (z * y))). [para(427(a,1),8007(a,1,2))]. given #7648 (H,wt=26): 8024 K(x,(y * (K(z,x) * u)) \ (y * (u * w))) = K(x,L(w,K(z,x) * u,y)). [hyper(58,a,8000,a(flip),b,8012,a),flip(a)]. given #7649 (H,wt=22): 8026 K(x,L(y,K(z,x) * u,w)) = K(x,(w * u) \ (w * (u * y))). [hyper(58,a,6579,a(flip),b,8024,a),flip(a)]. given #7650 (H,wt=17): 8028 K(x,L(y,K(z,x) * u,w)) = K(x,L(y,u,w)). [para(13(a,2),8026(a,2,2))]. given #7651 (H,wt=17): 8029 K(x,L(y,K(x,z) * u,w)) = K(x,L(y,u,w)). [para(28(a,1),8028(a,1,2,2,1))]. given #7652 (H,wt=17): 8030 K(x,L(y,K(x,z) \ u,w)) = K(x,L(y,u,w)). [para(3882(a,2),8028(a,1,2,2))]. given #7653 (H,wt=23): 8031 K(L(x,K(y,z) * u,w),y) = (y \ 1) / (y \ K(y,L(x,u,w))). [para(8029(a,1),3422(a,1,2,2)),flip(a)]. given #7654 (H,wt=17): 8032 K(L(x,K(y,z) * u,w),y) = K(L(x,u,w),y). [hyper(272,a,3422,a(flip),b,8031,a),flip(a)]. given #7655 (H,wt=15): 8033 K(L(x,T(y,z),u),z) = K(L(x,y,u),z). [para(2668(a,1),8032(a,1,1,2)),flip(a)]. given #7656 (H,wt=22): 8034 K(x,L(R(y,x \ z,y),z,u)) = K(L(x,y * (x \ z),u),y). [hyper(58,a,8023,a(flip),b,8033,a)]. given #7657 (H,wt=17): 8035 K(L(x,y * (x \ z),u),y) = K(x,L(y,z,u)). [hyper(58,a,6938,a(flip),b,8034,a),flip(a)]. given #7658 (H,wt=31): 8013 K(x,(y * (z * (u / x))) \ (z * (x \ u))) = K(x,(z * (u / x)) \ (y \ (z * (u / x)))). [hyper(58,a,4489,a(flip),b,8008,a),flip(a)]. given #7659 (H,wt=31): 8037 K(x,(y * (z / x)) \ (u \ (y * (z / x)))) = K(x,(u * (y * z)) \ ((y * (x \ z)) * x)). [hyper(58,a,7987,a(flip),b,8013,a),flip(a)]. given #7660 (H,wt=27): 8038 K(x,(y * (z * u)) \ ((z * (x \ u)) * x)) = K(x,T(y \ 1,z * (u / x))). [hyper(5416,a,8037,a),flip(a)]. given #7661 (H,wt=25): 8039 K(x,(y * (z * u)) \ ((z * (x \ u)) * x)) = K(x,T(y \ 1,z * u)). [hyper(272,a,7945,a(flip),b,8038,a),flip(a)]. given #7662 (H,wt=25): 8040 K(x,T((y / (z * u)) \ 1,z * u)) = K(x,y \ ((z * (x \ u)) * x)). [para(7(a,1),8039(a,1,2,1)),flip(a)]. given #7663 (H,wt=19): 8041 K(x,y \ ((z * (x \ u)) * x)) = K(x,y \ (z * u)). [hyper(58,a,5299,a(flip),b,8040,a),flip(a)]. given #7664 (H,wt=15): 8042 K(x,x \ (y * z)) = K(x,y * (x \ z)). [hyper(5350,a,8041,a),flip(a)]. given #7665 (H,wt=15): 8043 K(x,y \ ((x \ y) * z)) = K(x,x \ z). [hyper(58,a,6878,a(flip),b,8041,a),flip(a)]. given #7666 (H,wt=15): 8044 K(x,(y \ x) \ z) = K(x,x \ (y * z)). [hyper(272,a,6457,a,b,8042,a)]. given #7667 (H,wt=15): 8045 K(x,x \ (y * z)) = K(x,y * (z / x)). [hyper(272,a,5378,a,b,8042,a),flip(a)]. given #7668 (H,wt=15): 8048 K(x,x \ ((x \ y) \ z)) = K(x,y \ z). [para(5(a,1),8043(a,1,2,2)),flip(a)]. given #7669 (H,wt=15): 8049 K(x,x \ ((x / y) * z)) = K(x,y \ z). [para(74(a,1),8044(a,1,2,1)),flip(a)]. given #7670 (H,wt=15): 8051 K(x,(x * y) \ z) = K(x,x \ (y \ z)). [para(4(a,1),8048(a,1,2,2,1)),flip(a)]. given #7671 (H,wt=15): 8053 K(x,y \ (x \ z)) = K(x,x \ (y \ z)). [hyper(6384,a,8051,a)]. given #7672 (H,wt=15): 8055 K(x,y \ (x \ (y * z))) = K(x,x \ z). [para(4(a,1),8053(a,2,2,2))]. given #7673 (H,wt=15): 8056 K(x,y \ (x \ (y * (z * x)))) = K(x,z). [hyper(272,a,2889,a(flip),b,8055,a),flip(a)]. given #7674 (H,wt=10): 8058 K(x,L(y,x,z)) = K(x,y). [hyper(6351,a,8056,a)]. given #7675 (H,wt=12): 8059 T(x,L(y,x,z)) = x * K(x,y). [hyper(114,a,8058,a(flip),b,2672,a(flip)),flip(a)]. given #7676 (H,wt=10): 8064 T(x,L(y,x,z)) = T(x,y). [hyper(272,a,2674,a,b,8059,a),flip(a)]. given #7677 (H,wt=13): 8065 T(x,L(y,x,z)) != u | T(x,y) = u. [para(8059(a,2),2737(a,1))]. given #7678 (H,wt=15): 8061 K(x,(x \ y) / z) = K(x,x \ (y / z)). [para(6210(a,1),8058(a,1,2))]. given #7679 (H,wt=15): 8063 (x * (y * z)) * K(z,y) = x * (z * y). [para(8058(a,1),6344(a,1,2))]. given #7680 (H,wt=15): 8067 L(x,y,z) * T(y,x) = y * L(x,y,z). [hyper(114,a,8064,a(flip),b,17,a(flip))]. given #7681 (H,wt=15): 8070 K(x,y / (z * x)) = K(x,x \ (y / z)). [hyper(58,a,7336,a(flip),b,8061,a)]. given #7682 (H,wt=15): 8071 K(x,x \ ((x * y) / z)) = K(x,y / z). [para(4(a,1),8061(a,1,2,1)),flip(a)]. given #7683 (H,wt=15): 8073 (x * (y * z)) * K(y,z) = x * (z * y). [para(28(a,1),8063(a,1,2))]. given #7684 (H,wt=15): 8077 K(x,y / (x * z)) = K(x,x \ (y / z)). [hyper(58,a,5843,a(flip),b,8070,a)]. given #7685 (H,wt=16): 8050 x * (1 / L(x,y,y)) = K(x,y * (y / x)). [hyper(58,a,3795,a,b,8045,a)]. given #7686 (H,wt=17): 8047 T(x,K(y,z * (y \ u))) = T(x,K(y,z * u)). [para(8042(a,1),5548(a,1,2))]. given #7687 (H,wt=17): 8057 (x * y) * K(z,z \ y) = x * (z * (y / z)). [para(8055(a,1),6341(a,1,2))]. given #7688 (H,wt=17): 8081 (x / y) * (z * (y / z)) = x * K(z,z \ y). [hyper(278,a,8057,a),flip(a)]. given #7689 (H,wt=18): 8062 K(L(x,y,z),L(u,x,w)) = L(K(x,u),y * x,z). [para(8058(a,1),6278(a,1,1)),flip(a)]. given #7690 (H,wt=16): 8083 K(L(x,y,z),L(u,x,w)) = K(L(x,y,z),u). [hyper(272,a,6278,a(flip),b,8062,a),flip(a)]. given #7691 (H,wt=18): 8069 L(x,y,z) = (z * T(y,x)) \ (z * (T(y,x) * x)). [para(8064(a,1),7096(a,1,1,2)),flip(a)]. given #7692 (H,wt=11): 8085 L(x,T(y,x),z) = L(x,y,z). [hyper(272,a,13,a,b,8069,a)]. given #7693 (H,wt=15): 8087 L(x,K(y,T(z,x)),u) = L(x,K(y,z),u). [para(5238(a,2),8085(a,1,2))]. given #7694 (H,wt=16): 8088 T(1 / x,y * (x * y)) = L(x,y,y) \ 1. [para(8085(a,1),6430(a,2,1))]. given #7695 (H,wt=18): 8079 ((x * y) * z) * K(y,z) = R(x,y,z) * (z * y). [para(93(a,1),8073(a,1,1))]. given #7696 (H,wt=16): 8090 R(x,y,z) * (z * y) = (x * y) * T(z,y). [hyper(4266,a,8079,a),flip(a)]. given #7697 (H,wt=11): 8091 R(x,y,T(z,y)) = R(x,y,z). [hyper(30,a,455,a,b,8090,a)]. given #7698 (H,wt=11): 8093 R(x,T(y,z),z) = R(x,y,z). [hyper(58,a,5140,a,b,8091,a)]. given #7699 (H,wt=13): 8092 R(x,y / z,z) = R(x,z \ y,z). [hyper(5893,a,8091,a)]. given #7700 (H,wt=13): 8096 R(x,y,z / y) = R(x,y,y \ z). [para(100(a,1),8091(a,1,3)),flip(a)]. given #7701 (H,wt=15): 8095 R(x,y,T(T(z,y),u)) = R(x,y,T(z,u)). [para(18(a,1),8091(a,1,3))]. given #7702 (H,wt=15): 8101 R(x,(y * z) \ z,z) = R(x,y \ 1,z). [para(2258(a,1),8093(a,1,2))]. given #7703 (H,wt=16): 8094 ((x * (y / z)) * z) / y = R(x,z \ y,z). [hyper(58,a,5142,a(flip),b,8091,a)]. given #7704 (H,wt=17): 8097 R(x,y,T(z / y,u)) = R(x,y,T(y \ z,u)). [para(222(a,1),8091(a,1,3)),flip(a)]. given #7705 (H,wt=18): 8089 K(x * (y * x),y \ 1) = (L(y,x,x) \ 1) * y. [para(8088(a,1),3149(a,1,1)),flip(a)]. given #7706 (H,wt=18): 8105 K(x * (y * x),y \ 1) = y * (1 / L(y,x,x)). [hyper(272,a,2853,a(flip),b,8089,a),flip(a)]. given #7707 (H,wt=17): 8106 K(x * (y * x),y \ 1) = K(y,x * (x / y)). [hyper(272,a,8050,a(flip),b,8105,a),flip(a)]. given #7708 (H,wt=17): 8107 K(x,x * ((y * x) * y)) = K(x,y * (y / x)). [hyper(58,a,6163,a(flip),b,8106,a)]. given #7709 (H,wt=19): 8046 (x * K(y,z * (y \ u))) \ x = K(y \ (z * u),y). [para(8042(a,1),3899(a,1,1,2))]. given #7710 (H,wt=15): 8108 K(x \ (y * z),x) = K(y * (x \ z),x). [hyper(3924,a,8046,a),flip(a)]. given #7711 (H,wt=15): 8109 K(x * (y \ (x \ z)),y) = K(y \ z,y). [para(5(a,1),8108(a,1,1,2)),flip(a)]. given #7712 (H,wt=19): 8052 K(x,y \ T(z,x / y)) = K(x,x \ (z * (x / y))). [para(98(a,1),8049(a,1,2,2)),flip(a)]. given #7713 (H,wt=19): 8076 K(x,x \ (y / ((x \ z) * u))) = K(x,y / (z * u)). [hyper(58,a,7654,a(flip),b,8070,a),flip(a)]. given #7714 (H,wt=19): 8099 R(x,y,K(y,z) * (u / y)) = R(x,y,T(y,z) \ u). [para(5482(a,1),8091(a,1,3))]. given #7715 (H,wt=19): 8110 (x \ (y * z)) * K(y \ (y * z),y) = x \ (z * y). [para(8109(a,1),6875(a,1,2))]. given #7716 (H,wt=15): 8113 (x \ (y * z)) * K(z,y) = x \ (z * y). [para(4(a,1),8110(a,1,2,1))]. given #7717 (H,wt=19): 8111 K(x,y \ T(z,y \ x)) = K(x,x \ (z * (x / y))). [hyper(58,a,8010,a(flip),b,8052,a)]. given #7718 (H,wt=19): 8112 K(x,(x * y) / (z * u)) = K(x,y / ((x \ z) * u)). [hyper(58,a,8071,a(flip),b,8076,a),flip(a)]. given #7719 (H,wt=19): 8115 T(x \ (y * z),K(z,y)) = K(y,z) * (x \ (z * y)). [hyper(215,a,8113,a,b,3880,a)]. given #7720 (H,wt=19): 8119 K(x,y / ((x \ z) * u)) = K(x,((z * u) / y) \ x). [hyper(7347,a,8112,a),flip(a)]. given #7721 (H,wt=20): 8103 R(K(x,(y / z) / u),z \ y,z) = K(x,y / (u * z)). [hyper(58,a,7344,a(flip),b,8092,a),flip(a)]. given #7722 (H,wt=20): 8117 R(x,y,z) \ (z * (x * y)) = (y * z) * K(z,x * y). [para(166(a,1),8113(a,1,1)),flip(a)]. given #7723 (H,wt=18): 8123 R(x,y,z) \ (z * (x * y)) = y * T(z,x * y). [hyper(272,a,3664,a(flip),b,8117,a),flip(a)]. given #7724 (H,wt=18): 8124 R(x,y,z) = (z * (x * y)) / (y * T(z,x * y)). [hyper(178,a,8123,a),flip(a)]. given #7725 (H,wt=21): 8084 K(L(x,y,z),(u * x) \ (u * w)) = K(L(x,y,z),x \ w). [hyper(58,a,7874,a(flip),b,8083,a)]. given #7726 (H,wt=21): 8125 K(L(x,y,z),u \ (x \ (u * w))) = K(L(x,y,z),x \ w). [hyper(6537,a,8084,a)]. given #7727 (H,wt=22): 8116 x \ (y * z) != K(y,z) * u | T(x \ (z * y),K(y,z)) = u. [para(8113(a,1),216(a,2)),flip(a)]. given #7728 (H,wt=22): 8120 K(x,y / ((x \ z) * u)) != w | K(x,((z * u) / y) \ x) = w. [para(8112(a,1),7347(a,1))]. given #7729 (H,wt=23): 8054 K(T(x,y),T(x,y) \ (z \ u)) = K(x,T(z \ (T(x,y) \ u),y)). [hyper(5338,a,8053,a),flip(a)]. given #7730 (H,wt=21): 8126 K(x,T(y \ (T(x,z) \ u),z)) = K(x,T(x \ (y \ u),z)). [hyper(58,a,6586,a(flip),b,8054,a),flip(a)]. given #7731 (H,wt=24): 8102 R(K(x,(y / (z / u)) \ x),u \ z,u) = K(x,z / ((x \ y) * u)). [hyper(58,a,7353,a(flip),b,8092,a),flip(a)]. given #7732 (H,wt=25): 8078 ((x * y) * (z * (x * y))) * K(x,y) = ((1 / (x * y)) \ z) * (y * x). [para(366(a,1),8073(a,1,1))]. given #7733 (H,wt=25): 8080 T(T(x,K(y,z * u)),y * (z * (u / y))) = T(x,(z * (u / y)) * y). [para(8047(a,1),6097(a,1,1))]. given #7734 (H,wt=26): 8121 T(T(x \ (y * z),K(z,y)),K(z,y)) = a(z,y,z) \ (x \ T(z * y,z)). [para(8115(a,2),7161(a,1,1))]. given #7735 (H,wt=18): 8128 a(x,y,x) \ (z \ T(x * y,x)) = z \ (y * x). [hyper(2810,a,8121,a),flip(a)]. given #7736 (H,wt=28): 8060 K(L(x,y,z),(z * (y * x)) \ ((z * y) * u)) = K(L(x,y,z),L(x,y,z) \ u). [para(444(a,1),8058(a,1,2))]. given #7737 (H,wt=28): 8122 R(K(x,((y * z) / (u / w)) \ x),w \ u,w) = K(x,u / ((y * (x \ z)) * w)). [para(7973(a,1),8103(a,1,1))]. given #7738 (H,wt=23): 8131 K(x,y / ((x \ (z * u)) * w)) = K(x,y / ((z * (x \ u)) * w)). [hyper(58,a,8102,a(flip),b,8122,a)]. given #7739 (H,wt=23): 8132 K(x,y / ((z * (x \ u)) * w)) = K(x,(((z * u) * w) / y) \ x). [hyper(8120,a,8131,a),flip(a)]. given #7740 (H,wt=22): 8133 K(x,(((y * z) * u) / (z * u)) \ x) = R(K(x,y \ x),z,u). [hyper(58,a,7383,a(flip),b,8132,a),flip(a)]. given #7741 (H,wt=17): 8134 R(K(x,y \ x),z,u) = K(x,R(y,z,u) \ x). [para(15(a,2),8133(a,1,2,1)),flip(a)]. given #7742 (H,wt=17): 8135 K(x,R(y \ x,z,u) \ x) = R(K(x,y),z,u). [para(4454(a,1),8134(a,1,1)),flip(a)]. given #7743 (H,wt=28): 8130 K(L(x,y,z),(z * y) \ (x \ ((z * y) * u))) = K(L(x,y,z),L(x,y,z) \ u). [hyper(7170,a,8060,a)]. given #7744 (H,wt=20): 8136 K(L(x,y,z),L(x,y,z) \ u) = K(L(x,y,z),x \ u). [hyper(58,a,8125,a(flip),b,8130,a),flip(a)]. given #7745 (H,wt=25): 8138 L(x,y,z) \ L(T(x,x \ u),y,z) = K(L(x,y,z),L(x,y,z) \ u). [hyper(272,a,2735,a,b,8136,a)]. given #7746 (H,wt=20): 8139 T(L(x,y,z),L(x,y,z) \ u) = L(T(x,x \ u),y,z). [hyper(33,a,2672,a(flip),b,8138,a)]. given #7747 (H,wt=14): 8140 T(x,L(x,y,z) \ u) = T(x,x \ u). [hyper(132,a,8139,a)]. given #7748 (H,wt=14): 8142 T(x,L(x,y,z) \ u) = (x \ u) \ u. [hyper(272,a,99,a(flip),b,8140,a),flip(a)]. given #7749 (H,wt=14): 8145 T(x,L(x,y,z) \ (u * x)) = T(x,u). [hyper(272,a,2249,a,b,8142,a),flip(a)]. given #7750 (H,wt=17): 8146 L((x \ y) \ y,z,u) = (L(x,z,u) \ y) \ y. [para(8142(a,1),264(a,1,1))]. given #7751 (H,wt=17): 8150 L(x / (x / y),z,u) = (L(y,z,u) \ x) \ x. [para(2898(a,2),8146(a,1,1))]. given #7752 (H,wt=19): 8141 L(T(x,x \ y),z,u) * y = y / (1 / L(x,z,u)). [para(8139(a,1),3522(a,1,1))]. given #7753 (H,wt=21): 8152 a(1 / x,y,z) \ (1 / x) = ((L(x,z,y) \ 1) \ 1) \ 1. [para(8150(a,1),5933(a,1,1)),flip(a)]. given #7754 (H,wt=20): 8153 a(1 / x,y,z) \ (1 / x) != u | 1 / L(x,z,y) = u. [para(8152(a,2),2988(a,1))]. given #7755 (H,wt=30): 8075 ((x * T(y,x)) * L(x,y,z)) \ (x * (y * L(x,y,z))) = K(L(x,y,z),x * T(y,x)). [para(8067(a,1),1276(a,1,2,2))]. given #7756 (H,wt=28): 8154 ((x * y) * L(y,x,z)) \ (y * (x * L(y,x,z))) = K(L(y,x,z),y * T(x,y)). [para(98(a,1),8075(a,1,1,1))]. given #7757 (H,wt=19): 8155 K(L(x,y,z),x * T(y,x)) = K(x,y * L(x,y,z)). [hyper(1385,a,8154,a),flip(a)]. given #7758 (H,wt=17): 8156 K(L(x,y,z),y * x) = K(x,y * L(x,y,z)). [para(98(a,1),8155(a,1,2))]. given #7759 (H,wt=14): 8157 K(x,y * L(x,y,z)) = K(x,x * y). [hyper(6309,a,8156,a),flip(a)]. given #7760 (H,wt=22): 8159 L(K(x,x * y),z * x,u) = K(L(x,z,u),y * L(x,y,w)). [para(8157(a,1),6278(a,1,1))]. given #7761 (H,wt=20): 8160 K(L(x,y,z),u * L(x,u,w)) = K(L(x,y,z),x * u). [hyper(6535,a,8159,a),flip(a)]. given #7762 (H,wt=17): 8161 L(K(L(x,y,z),x * y),y,z) = K(x,x * y). [para(8160(a,1),7962(a,1,1))]. given #7763 (H,wt=14): 8162 L(K(x,x * y),y,z) = K(x,x * y). [para(6357(a,1),8161(a,1,1))]. given #7764 (H,wt=15): 8164 K(x,y \ (z * x)) = K(x,x * (y \ z)). [hyper(58,a,7911,a(flip),b,8162,a)]. given #7765 (H,wt=15): 8169 K(x,y \ (x * z)) = K(x,x * (y \ z)). [hyper(58,a,6876,a(flip),b,8164,a)]. given #7766 (H,wt=15): 8171 K(x,x * ((y \ x) \ z)) = K(x,y * z). [hyper(58,a,6458,a(flip),b,8169,a),flip(a)]. given #7767 (H,wt=15): 8172 K(x,(x / y) * z) = K(x,x * (y \ z)). [para(74(a,1),8171(a,1,2,2,1)),flip(a)]. given #7768 (H,wt=16): 8165 1 / L(K(x,x * y),y,z) = K(x * y,x). [para(8162(a,2),2880(a,1,2))]. given #7769 (H,wt=14): 8174 L(K(x * y,x),y,z) = K(x * y,x). [hyper(7858,a,8165,a)]. given #7770 (H,wt=15): 8175 K(x \ (y * z),z) = K(z * (x \ y),z). [hyper(58,a,7088,a(flip),b,8174,a)]. given #7771 (H,wt=15): 8177 K((x \ y) \ z,z) = K(z * (y \ x),z). [hyper(58,a,6334,a,b,8175,a)]. given #7772 (H,wt=15): 8178 K(x * ((y * x) \ z),x) = K(y \ z,x). [hyper(58,a,6327,a(flip),b,8175,a),flip(a)]. given #7773 (H,wt=15): 8179 K(x * (y \ (x \ z)),x) = K(y \ z,x). [hyper(58,a,6325,a(flip),b,8175,a),flip(a)]. given #7774 (H,wt=17): 8167 T(x,y \ ((y * z) * x)) = x * K(x,x * z). [para(8162(a,1),7910(a,2,2))]. given #7775 (H,wt=15): 8180 T(x,y \ ((y * z) * x)) = T(x,x * z). [hyper(272,a,2674,a,b,8167,a),flip(a)]. given #7776 (H,wt=14): 8182 T(x,L(x,y,z) * u) = T(x,x * u). [hyper(58,a,8145,a(flip),b,8180,a)]. given #7777 (H,wt=14): 8184 T(x,x * (L(x,y,z) \ u)) = T(x,u). [para(5(a,1),8182(a,1,2)),flip(a)]. given #7778 (H,wt=16): 8183 K(x,L(x,y,z) * u) = x \ T(x,x * u). [hyper(112,a,8182,a(flip),b,2674,a(flip)),flip(a)]. given #7779 (H,wt=14): 8186 K(x,L(x,y,z) * u) = K(x,x * u). [hyper(272,a,2672,a,b,8183,a),flip(a)]. given #7780 (H,wt=14): 8187 K(x,y * L(x,z,u)) = K(x,x * y). [hyper(6077,a,8186,a)]. given #7781 (H,wt=16): 8185 K(x * (L(x,y,z) \ u),x) = x / T(x,u). [para(8184(a,1),2670(a,2,2))]. given #7782 (H,wt=14): 8191 K(x * (L(x,y,z) \ u),x) = K(u,x). [hyper(272,a,2670,a,b,8185,a),flip(a)]. given #7783 (H,wt=14): 8192 K(L(x,y,z) \ u,x) = K(x \ u,x). [hyper(58,a,8179,a(flip),b,8191,a)]. given #7784 (H,wt=14): 8193 K(L(x,y,z) * u,x) = K(x * u,x). [para(4(a,1),8191(a,1,1,2)),flip(a)]. given #7785 (H,wt=14): 8194 K(x / L(y,z,u),y) = K(y \ x,y). [hyper(58,a,5326,a,b,8192,a)]. given #7786 (H,wt=14): 8196 K(x * L(y,z,u),y) = K(y * x,y). [hyper(58,a,6090,a(flip),b,8193,a)]. given #7787 (H,wt=16): 8195 K(x \ L(y,z,u),y) = K(y * (x \ 1),y). [hyper(58,a,6133,a(flip),b,8193,a)]. given #7788 (H,wt=14): 8201 K(x \ L(y,z,u),y) = K(x \ y,y). [hyper(272,a,3642,a(flip),b,8195,a),flip(a)]. given #7789 (H,wt=17): 8199 K(x * L(y,z,u),y) = K(x,y) * a(y,x,y). [hyper(272,a,6620,a,b,8196,a),flip(a)]. given #7790 (H,wt=12): 8204 a(x,y,L(x,z,u)) = a(x,y,x). [hyper(7236,a,8199,a)]. given #7791 (H,wt=14): 8205 a(x,y,L(x,z,u)) = R(x,y,x) / x. [hyper(272,a,6610,a,b,8204,a),flip(a)]. given #7792 (H,wt=12): 8208 R(x,y,L(x,z,u)) = R(x,y,x). [hyper(7233,a,8205,a)]. given #7793 (H,wt=14): 8206 L(x,y,L(x,z,u)) \ x = a(x,y,x). [hyper(58,a,7235,a,b,8204,a)]. given #7794 (H,wt=12): 8212 L(x,y,L(x,z,u)) = L(x,y,x). [hyper(34,a,6607,a,b,8206,a),flip(a)]. given #7795 (H,wt=18): 8202 K(x \ (y * L(z,u,w)),z) = K((y \ x) \ z,z). [hyper(58,a,7927,a(flip),b,8201,a)]. given #7796 (H,wt=18): 8213 L(L(x,y,z),u,L(x,w,v5)) = L(L(x,u,x),y,z). [para(8212(a,1),25(a,1,1)),flip(a)]. given #7797 (H,wt=18): 8216 K(x \ (y * L(z,u,w)),z) = K(z * (x \ y),z). [hyper(272,a,8177,a(flip),b,8202,a),flip(a)]. given #7798 (H,wt=19): 8217 K(x \ (y * (z * u)),u) = K(u * (x \ (y * z)),u). [para(87(a,1),8216(a,1,1,2))]. given #7799 (H,wt=21): 8170 K(x,y * (L(y,z,u) \ x)) = K(x,x * (L(y,z,u) \ y)). [para(1274(a,1),8164(a,1,2))]. given #7800 (H,wt=22): 8190 K(x,x * y) * (K(y,x) * L(x,z,u)) = L(L(x,y,x),z,u). [para(8187(a,1),8021(a,1,1))]. given #7801 (H,wt=17): 8219 a(x,y,x) \ L(x,z,u) = L(L(x,y,x),z,u). [hyper(58,a,6662,a(flip),b,8190,a)]. given #7802 (H,wt=17): 8221 L(L(x,y,x),z,u) \ L(x,z,u) = a(x,y,x). [para(8219(a,1),6647(a,1,1))]. given #7803 (H,wt=23): 8214 L(L(x,y,x),z,u) \ L(x,z,u) = a(L(x,z,u),y,L(x,z,u)). [para(8212(a,1),6616(a,1,1,1))]. given #7804 (H,wt=15): 8222 a(L(x,y,z),u,L(x,y,z)) = a(x,u,x). [hyper(58,a,8221,a(flip),b,8214,a),flip(a)]. given #7805 (H,wt=23): 8218 K(x \ (y \ (z * (u * y))),y) = K(y * ((x * y) \ (z * u)),y). [hyper(58,a,6328,a(flip),b,8217,a)]. given #7806 (H,wt=19): 8225 K(x \ (y \ (z * (u * y))),y) = K(x \ (z * u),y). [hyper(272,a,8178,a(flip),b,8218,a),flip(a)]. given #7807 (H,wt=20): 8226 K(L(x,y * z,u),y) = K((u * z) \ (u * (z * x)),y). [hyper(58,a,7986,a(flip),b,8225,a)]. given #7808 (H,wt=15): 8227 K(L(x,y * z,u),y) = K(L(x,z,u),y). [para(13(a,2),8226(a,2,1))]. given #7809 (H,wt=15): 8228 K(L(x,x \ y,z),u) = K(x,L(u,y,z)). [hyper(58,a,8035,a(flip),b,8227,a),flip(a)]. given #7810 (H,wt=13): 8229 L(K(x,y),z,u) = K(x,L(y,z,u)). [hyper(58,a,6355,a(flip),b,8228,a)]. given #7811 (H,wt=15): 8230 K(x,L(y,z * x,u)) = K(L(x,z,u),y). [hyper(6535,a,8229,a),flip(a)]. given #7812 (H,wt=15): 8231 x * L(K(x,y),z,u) = T(x,L(y,z,u)). [hyper(114,a,8229,a,b,2672,a(flip))]. given #7813 (H,wt=15): 8237 1 / L(K(x,y),z,u) = K(L(y,z,u),x). [para(8229(a,2),2880(a,1,2))]. given #7814 (H,wt=13): 8245 L(K(x,y),z,u) = K(L(x,z,u),y). [hyper(7858,a,8237,a)]. given #7815 (H,wt=13): 8246 K(L(x,y,z),u) = K(x,L(u,y,z)). [hyper(58,a,8229,a(flip),b,8245,a),flip(a)]. given #7816 (H,wt=15): 8242 K(x,L(y,z * x,u)) = K(y,L(x,z,u)). [hyper(272,a,28,a,b,8230,a),flip(a)]. given #7817 (H,wt=16): 8234 K(x,L(y / z,z \ y,u)) = K(x,y / z). [hyper(58,a,5301,a(flip),b,8229,a),flip(a)]. given #7818 (H,wt=17): 8233 K(x,y) * a(z,u,K(y,x)) = K(x,L(y,u,z)). [hyper(58,a,6927,a,b,8229,a)]. given #7819 (H,wt=17): 8236 L(K(x,T(y,z)),u,w) = K(x,T(L(y,u,w),z)). [para(20(a,1),8229(a,2,2))]. given #7820 (H,wt=16): 8252 K(x,T(L(y,z,T(x,u)),w)) = K(x,T(y,w)). [hyper(58,a,4941,a(flip),b,8236,a),flip(a)]. given #7821 (H,wt=17): 8240 K(x,y) * K(y,L(x,z,u)) = a(u,z,K(x,y)). [para(8229(a,1),6926(a,1,2))]. given #7822 (H,wt=15): 8254 a(x,y * z,K(y,u)) = a(x,z,K(y,u)). [hyper(58,a,7934,a(flip),b,8240,a)]. given #7823 (H,wt=15): 8255 a(x,y \ z,K(y,u)) = a(x,z,K(y,u)). [para(5(a,1),8254(a,1,2)),flip(a)]. given #7824 (H,wt=17): 8241 K(x,L(y,z,u)) * K(y,x) = a(u,z,K(y,x)). [para(8229(a,1),6928(a,1,1))]. given #7825 (H,wt=17): 8247 K(x,y) * K(L(y,z,u),x) = a(u,z,K(x,y)). [para(8245(a,1),6926(a,1,2))]. given #7826 (H,wt=15): 8257 a(x,y * z,K(u,z)) = a(x,y,K(u,z)). [hyper(58,a,6929,a(flip),b,8247,a)]. given #7827 (H,wt=15): 8258 a(x,y / z,K(u,z)) = a(x,y,K(u,z)). [para(7(a,1),8257(a,1,2)),flip(a)]. given #7828 (H,wt=17): 8248 K(L(x,y,z),u) * K(u,x) = a(z,y,K(u,x)). [para(8245(a,1),6928(a,1,1))]. given #7829 (H,wt=17): 8249 K(x,L(y,z,u)) * (K(y,L(x,z,u)) * w) = w. [para(8246(a,1),3880(a,1,1))]. given #7830 (H,wt=18): 8235 (x * y) * K(z,L(u,y,x)) = x * (y * K(z,u)). [hyper(114,a,8229,a(flip),b,13,a(flip))]. given #7831 (H,wt=18): 8243 x * (y * K(x * y,z)) = T(x * y,L(z,y,x)). [hyper(251,a,8231,a)]. given #7832 (H,wt=14): 8261 T(x * y,L(z,y,x)) = T(x * y,z). [hyper(5720,a,8243,a),flip(a)]. given #7833 (H,wt=16): 8262 L(x,y,z) = (z * (y * x)) / T(z * y,x). [para(8261(a,1),425(a,1,2)),flip(a)]. given #7834 (H,wt=16): 8263 L(x,y,z) * T(z * y,x) = z * (y * x). [hyper(125,a,8262,a(flip))]. given #7835 (H,wt=19): 8232 K(x,L(y \ z,u,w) \ 1) = K(x,L(z \ y,u,w)). [hyper(58,a,7853,a,b,8229,a)]. given #7836 (H,wt=19): 8238 K(x,L(y * (z \ 1),u,w)) = L(K(x,y / z),u,w). [para(5973(a,1),8229(a,1,1)),flip(a)]. given #7837 (H,wt=19): 8239 K(x,L((y \ 1) * z,u,w)) = L(K(x,y \ z),u,w). [para(6081(a,1),8229(a,1,1)),flip(a)]. given #7838 (H,wt=19): 8244 T(x,L(y,z,u)) * K(y,x) = x * a(u,z,K(y,x)). [para(8231(a,1),6931(a,1,1))]. given #7839 (H,wt=19): 8266 (x * (y * z)) / T(x * y,z) != u | L(z,y,x) = u. [para(8263(a,1),279(a,1,1))]. given #7840 (H,wt=19): 8267 K(x,L(y * (z \ 1),u,w)) = K(x,L(y / z,u,w)). [hyper(272,a,8229,a(flip),b,8238,a),flip(a)]. given #7841 (H,wt=19): 8268 K(x,L((y \ 1) * z,u,w)) = K(x,L(y \ z,u,w)). [hyper(272,a,8229,a(flip),b,8239,a),flip(a)]. given #7842 (H,wt=19): 8269 T(x * K(y,x),L(y,z,u)) = x * a(u,z,K(y,x)). [hyper(58,a,5300,a,b,8244,a)]. given #7843 (H,wt=17): 8271 T(x * a(y,z,K(u,x)),u) = T(x,L(u,z,y)). [para(8269(a,1),2758(a,1,1))]. given #7844 (H,wt=20): 8251 K(x,L(y,z,u)) != K(x,y) * w | a(u,z,K(y,x)) = w. [para(8233(a,1),38(a,1))]. given #7845 (H,wt=20): 8256 a(x,y,K(z,u)) != w | K(z,u) * K(u,L(z,y,x)) = w. [para(8241(a,1),1492(a,1))]. given #7846 (H,wt=21): 8259 x / T(x / y,L(y,z,u)) = y * a(u,z,K(y \ x,y)). [para(8257(a,1),7117(a,2,2))]. given #7847 (H,wt=21): 8260 (x * y) * z != x * (y * K(u,w)) | K(u,L(w,y,x)) = z. [para(8235(a,1),38(a,1)),flip(a)]. given #7848 (H,wt=21): 8270 K(T(x,y),L(y \ z,u,w)) = K(x,L(z * (1 / y),u,w)). [hyper(5851,a,8268,a),flip(a)]. given #7849 (H,wt=21): 8273 K(x,L(T(y \ z,y),u,w)) = K(x,L(z * (1 / y),u,w)). [hyper(5455,a,8270,a)]. given #7850 (H,wt=19): 8274 K(x,L(y * (1 / z),u,w)) = K(x,L(y / z,u,w)). [hyper(58,a,5481,a(flip),b,8273,a),flip(a)]. given #7851 (H,wt=19): 8275 K(x,L(y / (z \ 1),u,w)) = K(x,L(y * z,u,w)). [para(72(a,1),8274(a,1,2,1,2)),flip(a)]. given #7852 (H,wt=23): 8250 (x \ (x \ y)) * K(z,1 / x) = y * ((x \ 1) * T(1 / x,z)). [para(8234(a,1),7384(a,1,2))]. given #7853 (H,wt=23): 8253 K(x,T((T(x,y) * z) \ u,w)) = K(x,T(z \ (T(x,y) \ u),w)). [para(254(a,1),8252(a,1,2,1))]. given #7854 (H,wt=21): 8278 K(x,T((T(x,y) * z) \ u,y)) = K(x,T(x \ (z \ u),y)). [hyper(272,a,8126,a(flip),b,8253,a),flip(a)]. given #7855 (H,wt=21): 8279 K(x,T(x \ (y \ z),y)) = K(x,z / (x * ((x * y) / x))). [hyper(58,a,7099,a(flip),b,8278,a),flip(a)]. given #7856 (H,wt=17): 8280 K(x,T(x \ (y \ z),y)) = K(x,z / (x * y)). [hyper(272,a,5844,a(flip),b,8279,a),flip(a)]. given #7857 (H,wt=17): 8281 K(x,T(x \ (y \ z),y)) = K(x,x \ (z / y)). [hyper(272,a,8077,a(flip),b,8280,a),flip(a)]. given #7858 (H,wt=17): 8282 K(x,x \ ((y * z) / y)) = K(x,T(x \ z,y)). [para(4(a,1),8281(a,1,2,1,2)),flip(a)]. given #7859 (H,wt=15): 8283 K(x,T(x \ y,z)) = K(x,x \ T(y,z)). [para(2774(a,2),8282(a,1,2,2)),flip(a)]. given #7860 (H,wt=17): 8284 x * K(x,T(x \ y,z)) = T(x,x \ T(y,z)). [hyper(114,a,8283,a,b,2672,a(flip))]. given #7861 (H,wt=15): 8285 T(x,T(x \ y,z)) = T(x,x \ T(y,z)). [hyper(2737,a,8284,a)]. given #7862 (H,wt=23): 8276 (x \ (x \ y)) * K(z,x \ 1) = y * ((x \ 1) * T(1 / x,z)). [para(2369(a,1),8250(a,1,2))]. given #7863 (H,wt=21): 8287 x * ((y \ 1) * T(1 / y,z)) = (x / y) * T(y \ 1,z). [hyper(4291,a,8276,a),flip(a)]. given #7864 (H,wt=19): 8288 (x / y) * T(y \ 1,z) = x * (y \ T(y \ 1,z)). [para(6718(a,1),8287(a,1,2)),flip(a)]. given #7865 (H,wt=21): 8289 x * (y \ T(y \ 1,z / y)) = (x / y) * (T(y,z) \ 1). [para(3387(a,1),8288(a,1,2)),flip(a)]. given #7866 (H,wt=19): 8291 (x / y) * (T(y,z) \ 1) = x * (y \ (T(y,z) \ 1)). [para(3387(a,1),8289(a,1,2,2)),flip(a)]. given #7867 (H,wt=21): 8290 x * (y \ T(y \ 1,y * z)) = (x / y) * (1 / T(y,z)). [para(3465(a,1),8288(a,1,2)),flip(a)]. given #7868 (H,wt=19): 8293 (x / y) * (1 / T(y,z)) = x * (y \ (1 / T(y,z))). [para(3465(a,1),8290(a,1,2,2)),flip(a)]. given #7869 (H,wt=23): 8286 T(x \ 1,T((x \ 1) \ T(y,x),z)) = T(x \ 1,T(y,z) * x). [hyper(272,a,6012,a(flip),b,8285,a),flip(a)]. given #7870 (H,wt=21): 8295 T(x \ 1,T(x * T(y,x),z)) = T(x \ 1,T(y,z) * x). [hyper(58,a,5993,a(flip),b,8286,a)]. given #7871 (H,wt=19): 8296 T(x \ 1,T(y * x,z)) = T(x \ 1,T(y,z) * x). [para(98(a,1),8295(a,1,2,1))]. given #7872 (H,wt=23): 8294 x * (T(y,z) \ (1 / T(T(y,z),z))) = (x / T(y,z)) * (1 / y). [para(2765(a,1),8293(a,1,2,2)),flip(a)]. given #7873 (H,wt=19): 8297 (x / T(y,z)) * (1 / y) = x * (T(y,z) \ (1 / y)). [para(2765(a,1),8294(a,1,2,2,2)),flip(a)]. given #7874 (H,wt=19): 8298 (x / T(y,z)) * (1 / y) = x * (y \ (1 / T(y,z))). [para(1939(a,1),8297(a,2,2))]. given #7875 (H,wt=20): 8299 L(x / T(y,z),y,y) / y = x * (y \ (1 / T(y,z))). [hyper(58,a,2007,a,b,8298,a)]. given #7876 (H,wt=19): 8300 (x * (T(y,z) \ 1)) / y = x * (y \ (1 / T(y,z))). [para(6191(a,1),8299(a,1,1))]. given #7877 (H,wt=15): 8301 x * (y \ (1 / T(y,x))) = (y \ x) / y. [para(3006(a,1),8300(a,1,1)),flip(a)]. given #7878 (H,wt=25): 8203 (L(x,y,z) * K((u \ x) \ x,x)) * u = (x \ (L(x,y,z) * u)) * x. [para(8201(a,1),6874(a,1,1,2))]. given #7879 (H,wt=21): 8302 (x \ (L(x,y,z) * u)) * x = (L(x,y,z) * K(u,x)) * u. [para(3852(a,1),8203(a,1,1,2)),flip(a)]. given #7880 (H,wt=19): 8303 (x \ (L(x,y,z) * u)) * x = L(x,y,z) * T(u,x). [hyper(272,a,3699,a(flip),b,8302,a),flip(a)]. given #7881 (H,wt=19): 8304 (L(x,y,z) * (x \ u)) * x = L(x,y,z) * T(u,x). [para(1271(a,1),8303(a,1,1))]. given #7882 (H,wt=17): 8306 L(x,y,z) * (x \ u) = a(x \ 1,z,y) * u. [hyper(30,a,2544,a,b,8304,a),flip(a)]. given #7883 (H,wt=17): 8307 (x \ L(x,y,z)) * u = L(x,y,z) * (x \ u). [hyper(30,a,2542,a,b,8304,a)]. given #7884 (H,wt=17): 8309 a(x \ 1,y,z) \ (L(x,z,y) * u) = x * u. [hyper(802,a,8306,a)]. given #7885 (H,wt=17): 8310 a(x \ 1,y,z) \ u = x * (L(x,z,y) \ u). [hyper(516,a,8306,a)]. given #7886 (H,wt=17): 8311 a(x \ 1,y,z) * (x * u) = L(x,z,y) * u. [hyper(507,a,8306,a),flip(a)]. given #7887 (H,wt=17): 8312 x * (a(x \ 1,y,z) * u) = L(x,z,y) * u. [hyper(114,a,8306,a(flip),b,1271,a)]. given #7888 (H,wt=17): 8314 (x \ L(x,y,z)) \ u = x * (L(x,y,z) \ u). [hyper(112,a,67,a(flip),b,8307,a)]. given #7889 (H,wt=17): 8318 a(x \ 1,y,z) \ (x \ u) = L(x,z,y) \ u. [hyper(272,a,1275,a(flip),b,8310,a),flip(a)]. given #7890 (H,wt=17): 8322 (x \ L(x,y,z)) \ (x \ u) = L(x,y,z) \ u. [hyper(272,a,1275,a(flip),b,8314,a),flip(a)]. given #7891 (H,wt=19): 8305 (L(x,y,z) * T(u,x)) / x = L(x,y,z) * (x \ u). [hyper(122,a,8304,a)]. given #7892 (H,wt=19): 8324 (L(x,y,z) * u) / T(x,u) = L(x,y,z) * (x \ u). [hyper(58,a,3975,a(flip),b,8305,a)]. given #7893 (H,wt=19): 8325 L(x,y,z) * (x \ T(u,x)) = (L(x,y,z) * u) / x. [para(2765(a,1),8305(a,1,1,2)),flip(a)]. given #7894 (H,wt=20): 8320 a(x \ 1,y,z) \ (x \ u) != w | L(x,z,y) \ u = w. [para(8310(a,2),1284(a,1))]. given #7895 (H,wt=20): 8323 (x \ L(x,y,z)) \ (x \ u) != w | L(x,y,z) \ u = w. [para(8314(a,2),1284(a,1))]. given #7896 (H,wt=23): 8308 (x / y) \ (L(y,z,u) * (y \ x)) = x \ (L(y,z,u) * T(x,y)). [para(8304(a,1),7152(a,2,2))]. given #7897 (H,wt=23): 8313 a((1 / x) \ 1,y,z) * (u / x) = L(1 / x,z,y) * T(u,x). [para(2920(a,2),8306(a,1,2)),flip(a)]. given #7898 (H,wt=19): 8327 L(1 / x,y,z) * T(u,x) = a(x,z,y) * (u / x). [para(74(a,1),8313(a,1,1,1)),flip(a)]. given #7899 (H,wt=17): 8328 (a(x,y,z) * u) / x = a(x,y,z) * (u / x). [hyper(58,a,2994,a(flip),b,8327,a)]. given #7900 (H,wt=23): 8321 T(x,y) * (a(x \ 1,z,u) * w) = K(x,y) * (L(x,u,z) * w). [hyper(114,a,8312,a(flip),b,3195,a),flip(a)]. given #7901 (H,wt=23): 8326 (x / y) \ (L(y,z,u) * (y \ x)) = T(L(y,z,u) * K(x,y),x). [hyper(272,a,3700,a,b,8308,a),flip(a)]. given #7902 (H,wt=24): 8319 a(x \ 1,y,z) \ (L(x,z,y) * u) != w * v5 | (x * u) / v5 = w. [para(8310(a,2),798(a,1))]. given #7903 (H,wt=25): 8209 (x * (y * R(z,u,z))) / (x * (y * z)) = a(L(z,y,x),u,L(z,y,x)). [para(8208(a,1),7460(a,1,1,2,2))]. given #7904 (H,wt=20): 8329 L(a(x,y,x),z * x,u) = a(L(x,z,u),y,L(x,z,u)). [hyper(58,a,6682,a(flip),b,8209,a)]. given #7905 (H,wt=22): 8331 a(L(x,y / x,z),u,L(x,y / x,z)) = L(a(x,u,x),y,z). [para(7(a,1),8329(a,1,2)),flip(a)]. given #7906 (H,wt=12): 8332 L(a(x,y,x),z,u) = a(x,y,x). [hyper(58,a,8222,a(flip),b,8331,a),flip(a)]. given #7907 (H,wt=9): 8334 a(x,y,a(z,u,z)) = 1. [hyper(48,a,8332,a)]. given #7908 (H,wt=9): 8339 a(x,y,a(z,z,u)) = 1. [para(6792(a,1),8334(a,1,3))]. given #7909 (H,wt=9): 8340 a(x,y,a(z,u,u)) = 1. [para(6793(a,2),8334(a,1,3))]. given #7910 (H,wt=11): 8338 a(x,y,a(z,u,z)) = w \ w. [hyper(272,a,61,a,b,8334,a),flip(a)]. given #7911 (H,wt=9): 8343 L(x,a(y,z,y),u) = x. [hyper(1197,a,8338,a),flip(a)]. given #7912 (H,wt=9): 8346 L(x,a(y,y,z),u) = x. [para(6792(a,1),8343(a,1,2))]. given #7913 (H,wt=9): 8347 L(x,a(y,z,z),u) = x. [para(6793(a,2),8343(a,1,2))]. given #7914 (H,wt=12): 8341 L(a(x,x,y),z,u) = a(x,x,y). [hyper(47,a,8339,a)]. given #7915 (H,wt=12): 8342 L(a(x,y,y),z,u) = a(x,y,y). [hyper(47,a,8340,a)]. given #7916 (H,wt=13): 8350 a(x,x,K(y,z) * u) = a(u,x,x). [hyper(6506,a,8341,a),flip(a)]. given #7917 (H,wt=11): 8355 a(x,T(x,y),z) = a(z,x,x). [hyper(6980,a,8350,a)]. given #7918 (H,wt=15): 8357 a(x,x,y * T(z,u)) = a(y * z,x,x). [para(4502(a,1),8350(a,1,3))]. given #7919 (H,wt=15): 8359 a(x,x,y * T(z,u)) = a(x,x,y * z). [hyper(272,a,4244,a(flip),b,8357,a),flip(a)]. given #7920 (H,wt=13): 8360 a(x,x,y * z) = a(x,x,z * y). [para(98(a,1),8359(a,1,3))]. given #7921 (H,wt=13): 8361 a(x,x,(y \ z) * y) = a(x,x,z). [para(203(a,1),8359(a,1,3)),flip(a)]. given #7922 (H,wt=17): 8335 (x * y) * a(z,u,z) = x * (y * a(z,u,z)). [hyper(114,a,8332,a(flip),b,13,a(flip))]. given #7923 (H,wt=9): 8363 R(x,y,a(z,u,z)) = x. [hyper(453,a,8335,a)]. given #7924 (H,wt=17): 8336 x \ (y * a(z,u,z)) = (x \ y) * a(z,u,z). [para(8332(a,1),426(a,1,2,2))]. given #7925 (H,wt=17): 8337 (x * y) / a(z,u,z) = x * (a(z,u,z) \ y). [para(8332(a,1),6660(a,1,2))]. given #7926 (H,wt=17): 8344 (x * a(y,z,y)) * u = x * (a(y,z,y) * u). [hyper(1105,a,8343,a),flip(a)]. given #7927 (H,wt=17): 8345 (x * a(y,z,y)) \ u = a(y,z,y) \ (x \ u). [hyper(481,a,8343,a),flip(a)]. given #7928 (H,wt=17): 8348 (x * a(y,y,z)) * u = x * (a(y,y,z) * u). [hyper(1105,a,8346,a),flip(a)]. given #7929 (H,wt=17): 8349 (x * a(y,z,z)) * u = x * (a(y,z,z) * u). [hyper(1105,a,8347,a),flip(a)]. given #7930 (H,wt=17): 8351 (x * y) * a(z,z,u) = x * (y * a(z,z,u)). [hyper(114,a,8341,a(flip),b,13,a(flip))]. given #7931 (H,wt=17): 8352 x \ (y * a(z,z,u)) = (x \ y) * a(z,z,u). [para(8341(a,1),426(a,1,2,2))]. given #7932 (H,wt=15): 8373 (x \ y) * a(z,z,y) = x \ L(y,z,z). [para(4213(a,1),8352(a,1,2)),flip(a)]. given #7933 (H,wt=17): 8353 (x * y) * a(z,u,u) = x * (y * a(z,u,u)). [hyper(114,a,8342,a(flip),b,13,a(flip))]. given #7934 (H,wt=17): 8354 x \ (y * a(z,u,u)) = (x \ y) * a(z,u,u). [para(8342(a,1),426(a,1,2,2))]. given #7935 (H,wt=17): 8362 a(x,y,x) * (z * u) = z * (u * a(x,y,x)). [hyper(6652,a,8335,a)]. given #7936 (H,wt=17): 8364 (x * y) * a(z,u,z) = x * (a(z,u,z) * y). [para(6640(a,2),8335(a,2,2))]. given #7937 (H,wt=17): 8366 x \ (y * a(z,u,z)) = a(z,u,z) * (x \ y). [hyper(272,a,6640,a,b,8336,a),flip(a)]. given #7938 (H,wt=17): 8367 a(x,y,x) \ (z * u) = z * (a(x,y,x) \ u). [hyper(6650,a,8337,a)]. given #7939 (H,wt=17): 8369 (a(x,y,x) * z) / u = a(x,y,x) * (z / u). [hyper(881,a,8344,a(flip))]. given #7940 (H,wt=17): 8371 (a(x,y,y) * z) * u = z * (a(x,y,y) * u). [para(5600(a,2),8349(a,1,1))]. given #7941 (H,wt=17): 8372 a(x,x,y) * (z * u) = z * (u * a(x,x,y)). [hyper(5595,a,8351,a)]. given #7942 (H,wt=15): 8385 a(x,x,y) * (z * y) = z * L(y,x,x). [para(4213(a,1),8372(a,2,2))]. given #7943 (H,wt=15): 8386 a(x,x,y) * (z * x) = z * L(x,y,x). [para(4248(a,1),8372(a,2,2))]. given #7944 (H,wt=17): 8376 x \ (a(y,z,z) * u) = (x \ u) * a(y,z,z). [para(5600(a,2),8354(a,1,2))]. given #7945 (H,wt=17): 8378 a(x,y,x) * (z * u) = z * (a(x,y,x) * u). [para(6640(a,2),8362(a,2,2))]. given #7946 (H,wt=17): 8379 x \ (a(y,z,y) * u) = a(y,z,y) * (x \ u). [para(6640(a,2),8366(a,1,2))]. given #7947 (H,wt=17): 8383 a(x,x,y) * (z * u) = z * (a(x,x,y) * u). [hyper(272,a,5628,a,b,8372,a),flip(a)]. given #7948 (H,wt=17): 8388 (x * a(y,z,y)) * u = a(y,z,y) * (x * u). [hyper(272,a,8344,a,b,8378,a)]. given #7949 (H,wt=17): 8389 (x * a(y,y,z)) * u = a(y,y,z) * (x * u). [hyper(272,a,8348,a,b,8383,a)]. given #7950 (H,wt=17): 8391 (a(x,y,x) * z) * u = a(x,y,x) * (z * u). [para(6640(a,2),8388(a,1,1))]. given #7951 (H,wt=9): 8394 L(x,y,a(z,u,z)) = x. [hyper(2469,a,8391,a)]. given #7952 (H,wt=9): 8401 L(x,y,a(z,z,u)) = x. [para(6792(a,1),8394(a,1,3))]. given #7953 (H,wt=9): 8402 L(x,y,a(z,u,u)) = x. [para(6793(a,2),8394(a,1,3))]. given #7954 (H,wt=12): 8393 R(a(x,y,x),z,u) = a(x,y,x). [hyper(2621,a,8391,a)]. given #7955 (H,wt=12): 8403 L(x,y,a(z,z,u)) != w | x = w. [para(8401(a,1),45(a,2))]. given #7956 (H,wt=16): 8404 a(x,y * K(z,y),x) = L(a(x,y,x),y,z). [hyper(58,a,7255,a(flip),b,8393,a),flip(a)]. given #7957 (H,wt=13): 8405 a(x,y * K(z,y),x) = a(x,y,x). [hyper(272,a,8332,a(flip),b,8404,a),flip(a)]. given #7958 (H,wt=11): 8408 a(x,T(y,z),x) = a(x,y,x). [para(2652(a,2),8405(a,1,2))]. given #7959 (H,wt=13): 8409 a(x,y / z,x) = a(x,z \ y,x). [para(2747(a,1),8405(a,1,2))]. given #7960 (H,wt=13): 8411 L(x,T(y,z),x) = x / a(x,y,x). [para(8408(a,1),6615(a,1,2)),flip(a)]. given #7961 (H,wt=11): 8414 L(x,T(y,z),x) = L(x,y,x). [hyper(272,a,6615,a(flip),b,8411,a),flip(a)]. given #7962 (H,wt=13): 8415 L(x,y / z,x) = L(x,z \ y,x). [para(100(a,1),8414(a,1,2)),flip(a)]. given #7963 (H,wt=15): 8413 a(x,T(y / z,u),x) = a(x,z \ y,x). [hyper(58,a,8408,a,b,8409,a)]. given #7964 (H,wt=17): 8392 (a(x,x,y) * z) * u = a(x,x,y) * (z * u). [para(5594(a,2),8389(a,1,1))]. given #7965 (H,wt=17): 8396 (a(x,y,x) * z) \ (a(x,y,x) * u) = z \ u. [hyper(112,a,137,a(flip),b,8391,a)]. given #7966 (H,wt=17): 8400 (a(x,y,x) \ z) \ u = z \ (a(x,y,x) * u). [hyper(512,a,8394,a),flip(a)]. given #7967 (H,wt=17): 8422 (a(x,y,x) \ z) \ u = a(x,y,x) * (z \ u). [hyper(272,a,8379,a(flip),b,8400,a),flip(a)]. given #7968 (H,wt=17): 8423 x / (a(y,z,y) * (u \ x)) = a(y,z,y) \ u. [hyper(178,a,8422,a)]. given #7969 (H,wt=17): 8424 x / (a(y,z,y) * u) = a(y,z,y) \ (x / u). [para(74(a,1),8423(a,1,2,2))]. given #7970 (H,wt=15): 8425 a(x,y,x) \ (z / x) = z / R(x,y,x). [para(6611(a,1),8424(a,1,2)),flip(a)]. given #7971 (H,wt=19): 8358 L(x,y,T(x \ 1,z)) = x * a(y,x \ 1,x \ 1). [hyper(114,a,8355,a(flip),b,1181,a(flip)),flip(a)]. given #7972 (H,wt=15): 8426 L(x,y,T(x \ 1,z)) = x * a(y,x,x). [para(6083(a,1),8358(a,2,2))]. given #7973 (H,wt=19): 8381 K(x,y) * (a(z,u,z) \ T(y,x)) = a(z,u,z) \ y. [para(2668(a,1),8367(a,1,2)),flip(a)]. given #7974 (H,wt=19): 8390 a(x,x,y) * (z * (u * y)) = z * (u * L(y,x,x)). [para(8385(a,1),8383(a,2,2))]. given #7975 (H,wt=19): 8395 x \ (a(y,z,y) * (u * x)) = T(a(y,z,y) * u,x). [hyper(359,a,xx,b,8391,a),flip(a)]. given #7976 (H,wt=19): 8417 L(x,R(y * K(z,y),u,w),x) = L(x,R(y,u,w),x). [para(2760(a,1),8414(a,1,2)),flip(a)]. given #7977 (H,wt=19): 8420 a(x,x,y) * ((y * z) * u) = (L(y,x,x) * z) * u. [para(4784(a,1),8392(a,1,1)),flip(a)]. given #7978 (H,wt=19): 8427 a(x,y,x) * (z \ (u * z)) = T(a(x,y,x) * u,z). [hyper(58,a,8379,a(flip),b,8395,a)]. given #7979 (H,wt=17): 8429 T(a(x,y,x) * z,u) = a(x,y,x) * T(z,u). [para(17(a,2),8427(a,1,2)),flip(a)]. given #7980 (H,wt=17): 8430 T(x * a(y,z,y),u) = a(y,z,y) * T(x,u). [para(6640(a,1),8429(a,1,1))]. given #7981 (H,wt=17): 8431 a(x,y,x) \ T(z * a(x,y,x),u) = T(z,u). [hyper(112,a,8430,a,b,xx)]. given #7982 (H,wt=17): 8433 T(a(x,y,x) \ z,u) = a(x,y,x) \ T(z,u). [para(6648(a,1),8431(a,1,2,1)),flip(a)]. given #7983 (H,wt=19): 8428 a(x,y,y) * ((x * z) * u) = (L(x,y,y) * z) * u. [para(4244(a,2),8420(a,1,1))]. given #7984 (H,wt=19): 8434 K(x,y) * T(a(z,u,z) \ y,x) = a(z,u,z) \ y. [para(8433(a,2),8381(a,1,2))]. given #7985 (H,wt=12): 8437 K(x,a(y,z,y) \ u) = K(x,u). [hyper(2725,a,8434,a)]. given #7986 (H,wt=12): 8439 K(x,a(y,z,y) * u) = K(x,u). [para(4(a,1),8437(a,1,2)),flip(a)]. given #7987 (H,wt=12): 8440 K(x,y * a(z,u,z)) = K(x,y). [para(6643(a,1),8437(a,1,2)),flip(a)]. given #7988 (H,wt=12): 8446 K(x,y * a(z,u,u)) = K(x,y). [para(6793(a,2),8440(a,1,2,2))]. given #7989 (H,wt=14): 8438 T(x,a(y,z,y) \ u) = x * K(x,u). [hyper(114,a,8437,a(flip),b,2672,a(flip)),flip(a)]. given #7990 (H,wt=12): 8448 T(x,a(y,z,y) \ u) = T(x,u). [hyper(272,a,2674,a,b,8438,a),flip(a)]. given #7991 (H,wt=12): 8449 T(x,y * a(z,u,z)) = T(x,y). [para(6643(a,1),8448(a,1,2)),flip(a)]. given #7992 (H,wt=12): 8453 T(x,y * a(z,z,u)) = T(x,y). [para(6792(a,1),8449(a,1,2,2))]. given #7993 (H,wt=12): 8454 T(x,y * a(z,u,u)) = T(x,y). [para(6793(a,2),8449(a,1,2,2))]. given #7994 (H,wt=12): 8456 T(x,a(y,y,z) * u) = T(x,u). [para(5594(a,2),8453(a,1,2))]. given #7995 (H,wt=14): 8447 K(x,L(y,z,z) \ u) = K(x,y \ u). [para(6139(a,1),8446(a,1,2))]. given #7996 (H,wt=14): 8450 T(x,L(y,z,y) * u) = T(x,y * u). [para(6655(a,1),8448(a,1,2))]. given #7997 (H,wt=14): 8451 T(x,L(y,z,y) \ u) = T(x,y \ u). [para(6656(a,1),8448(a,1,2)),flip(a)]. given #7998 (H,wt=14): 8455 T(x,y \ a(z,z,u)) = T(x,y \ 1). [hyper(6112,a,8453,a)]. given #7999 (H,wt=14): 8457 T(x,y \ L(z,u,u)) = T(x,y \ z). [para(8373(a,1),8453(a,1,2))]. given #8000 (H,wt=14): 8458 T(x,L(y,z,z) \ u) = T(x,y \ u). [para(6139(a,1),8454(a,1,2))]. given #8001 (H,wt=14): 8460 T(x,L(y,z,z) * u) = T(x,y * u). [para(4784(a,1),8456(a,1,2))]. given #8002 (H,wt=14): 8461 T(x,y * L(z,u,u)) = T(x,y * z). [para(8385(a,1),8456(a,1,2))]. given #8003 (H,wt=16): 8442 K(x,(y * a(z,u,z)) \ w) = K(x,y \ w). [para(8345(a,2),8437(a,1,2))]. given #8004 (H,wt=16): 8443 K(x,y * (z * a(u,w,u))) = K(x,y * z). [para(8362(a,1),8439(a,1,2))]. given #8005 (H,wt=16): 8444 K(x,y * (a(z,u,z) * w)) = K(x,y * w). [para(8378(a,1),8439(a,1,2))]. given #8006 (H,wt=16): 8445 K(x,y \ (a(z,u,z) * w)) = K(x,y \ w). [para(8379(a,2),8439(a,1,2))]. given #8007 (H,wt=16): 8452 T(x,y / (a(z,u,z) * w)) = T(x,y / w). [para(8424(a,2),8448(a,1,2))]. given #8008 (H,wt=16): 8459 T(x,y \ (z * a(u,w,w))) = T(x,y \ z). [para(8354(a,2),8454(a,1,2))]. given #8009 (H,wt=16): 8462 T(x,y * (a(z,z,u) * w)) = T(x,y * w). [para(8383(a,1),8456(a,1,2))]. given #8010 (H,wt=16): 8488 K(x,y * (a(z,u,u) * w)) = K(x,y * w). [para(6793(a,2),8444(a,1,2,2,1))]. given #8011 (H,wt=14): 8498 K(x,L(y,z,z) * u) = K(x,y * u). [para(4780(a,1),8488(a,1,2))]. given #8012 (H,wt=16): 8492 T(x,y * (a(z,u,u) * w)) = T(x,y * w). [para(4217(a,1),8462(a,1,2,2,1))]. given #8013 (H,wt=17): 8441 K(x,y \ T(z * u,z)) = K(x,y \ (u * z)). [para(8128(a,1),8437(a,1,2)),flip(a)]. given #8014 (H,wt=17): 8465 T(x,T(y,y * z) * u) = T(x,T(y,z) * u). [para(5394(a,1),8450(a,1,2,1))]. given #8015 (H,wt=17): 8466 T(x,T(y,y * z) \ u) = T(x,T(y,z) \ u). [para(5394(a,1),8451(a,1,2,1))]. given #8016 (H,wt=17): 8467 T(x,y \ ((1 / z) * u)) = T(x,y \ (z \ u)). [para(1996(a,1),8457(a,1,2,2)),flip(a)]. given #8017 (H,wt=17): 8468 T(x,y \ (z \ T(u,z))) = T(x,y \ (u / z)). [para(2933(a,1),8457(a,1,2,2))]. given #8018 (H,wt=17): 8469 T(x,y \ (z * (u \ 1))) = T(x,y \ (z / u)). [para(3112(a,1),8457(a,1,2,2)),flip(a)]. given #8019 (H,wt=17): 8472 T(x,((y \ 1) \ z) * u) = T(x,(y * z) * u). [para(2002(a,1),8460(a,1,2,1))]. given #8020 (H,wt=17): 8473 T(x,(y / (1 / z)) * u) = T(x,(y * z) * u). [para(2020(a,1),8460(a,1,2,1)),flip(a)]. given #8021 (H,wt=17): 8474 T(x,T(y,z \ 1) * u) = T(x,T(y,z) * u). [para(2792(a,1),8460(a,1,2,1))]. given #8022 (H,wt=17): 8475 T(x,(y * (z \ 1)) * u) = T(x,(y / z) * u). [para(3112(a,1),8460(a,1,2,1)),flip(a)]. given #8023 (H,wt=17): 8480 T(x,y * ((1 / z) * u)) = T(x,y * (z \ u)). [para(1996(a,1),8461(a,1,2,2)),flip(a)]. given #8024 (H,wt=17): 8481 T(x,y * ((z \ 1) \ u)) = T(x,y * (z * u)). [para(2002(a,1),8461(a,1,2,2))]. given #8025 (H,wt=17): 8482 T(x,y * (z / (1 / u))) = T(x,y * (z * u)). [para(2020(a,1),8461(a,1,2,2)),flip(a)]. given #8026 (H,wt=17): 8483 T(x,y * (z * (u \ 1))) = T(x,y * (z / u)). [para(3112(a,1),8461(a,1,2,2)),flip(a)]. given #8027 (H,wt=15): 8522 T(x,y \ (z * z)) = T(x,z * (z / y)). [hyper(6115,a,8483,a)]. given #8028 (H,wt=15): 8523 T(x,(y * y) / z) = T(x,y * (y / z)). [hyper(6108,a,8483,a)]. given #8029 (H,wt=17): 8484 T(x,y * (T(z,u) / u)) = T(x,y * (u \ z)). [para(3129(a,1),8461(a,1,2,2))]. given #8030 (H,wt=17): 8486 K(x,T(y * z,y) \ u) = K(x,(z * y) \ u). [para(6622(a,1),8442(a,1,2,1))]. given #8031 (H,wt=17): 8489 K(x,y \ K(z,z \ u)) = K(x,y \ K(z,u)). [para(6602(a,1),8445(a,1,2,2))]. given #8032 (H,wt=17): 8490 T(x,y / T(z * u,z)) = T(x,y / (u * z)). [para(6654(a,1),8452(a,1,2,2))]. given #8033 (H,wt=17): 8499 K(x,y * (z * (1 / u))) = K(x,y * (z / u)). [hyper(58,a,6215,a(flip),b,8498,a)]. given #8034 (H,wt=17): 8500 K(x,y * (z * (u \ 1))) = K(x,y * (z / u)). [hyper(58,a,6214,a(flip),b,8498,a)]. given #8035 (H,wt=17): 8501 K(x,((1 / y) * z) * u) = K(x,(y \ z) * u). [para(1996(a,1),8498(a,1,2,1)),flip(a)]. given #8036 (H,wt=17): 8502 K(x,((y \ 1) \ z) * u) = K(x,(y * z) * u). [para(2002(a,1),8498(a,1,2,1))]. given #8037 (H,wt=17): 8504 T(x,T(y,y \ z) * u) = T(x,T(y,z) * u). [para(5(a,1),8465(a,1,2,1,2)),flip(a)]. given #8038 (H,wt=17): 8505 T(x,T(y \ 1,z) * u) = T(x,T(y,z) \ u). [hyper(58,a,6023,a(flip),b,8466,a)]. given #8039 (H,wt=17): 8514 T(x,y * (z / T(u,z))) = T(x,y * (u \ z)). [para(2242(a,2),8480(a,1,2,2))]. given #8040 (H,wt=17): 8515 T(x,y * (T(z,u) \ u)) = T(x,y * (u / z)). [para(2793(a,1),8480(a,1,2,2)),flip(a)]. given #8041 (H,wt=17): 8518 T(x,y * ((1 / z) \ u)) = T(x,y * (z * u)). [hyper(58,a,4547,a,b,8481,a)]. given #8042 (H,wt=17): 8519 T(x,y * ((z \ 1) * u)) = T(x,y * (z \ u)). [hyper(58,a,4971,a(flip),b,8481,a),flip(a)]. given #8043 (H,wt=17): 8528 x * T(y,x * (x / y)) = (y \ x) \ (x * x). [para(8522(a,1),6753(a,1,2))]. given #8044 (H,wt=17): 8529 K(x,((y \ z) * y) \ u) = K(x,T(z,y) \ u). [para(5(a,1),8486(a,1,2,1,1)),flip(a)]. given #8045 (H,wt=17): 8530 K(x,y \ K(z,z \ u)) = K(x,y \ K(u,z)). [hyper(272,a,5632,a,b,8489,a),flip(a)]. given #8046 (H,wt=17): 8532 K(x,y * (z / (u \ 1))) = K(x,y * (z * u)). [para(72(a,1),8499(a,1,2,2,2)),flip(a)]. given #8047 (H,wt=17): 8535 K(x,((y \ 1) * z) * u) = K(x,(y \ z) * u). [hyper(58,a,2428,a(flip),b,8501,a)]. given #8048 (H,wt=17): 8536 K(x,(T(y,z) \ z) * u) = K(x,(z / y) * u). [para(2793(a,1),8501(a,1,2,1)),flip(a)]. given #8049 (H,wt=17): 8539 T(x,y * (z * ((1 / z) * u))) = T(x,y * u). [para(4(a,1),8518(a,1,2,2)),flip(a)]. given #8050 (H,wt=17): 8540 T(x,y * (z * (u / z))) = T(x,y * T(u,z)). [para(2920(a,2),8518(a,1,2,2)),flip(a)]. given #8051 (H,wt=17): 8544 x * T(y,x * (y \ x)) = (y \ x) \ (x * x). [para(5365(a,1),8528(a,1,2))]. given #8052 (H,wt=17): 8545 K(x,(y * (z / y)) \ u) = K(x,T(z,y) \ u). [para(2828(a,1),8529(a,1,2,1))]. given #8053 (H,wt=17): 8548 K(x,((1 / y) \ z) * u) = K(x,(y * z) * u). [para(74(a,1),8535(a,1,2,1,1)),flip(a)]. given #8054 (H,wt=17): 8550 T(x,y * (z * (1 / u))) = T(x,y * (z / u)). [para(3537(a,1),8539(a,1,2,2))]. given #8055 (H,wt=16): 8555 T(x,y * (z / y)) != u | T(x,T(z,y)) = u. [para(8550(a,1),6122(a,1))]. given #8056 (H,wt=17): 8552 T(x,y * T(z * u,z)) = T(x,y * (u * z)). [para(2806(a,1),8540(a,1,2,2)),flip(a)]. given #8057 (H,wt=17): 8553 K(x,T(y * z,z) \ u) = K(x,(z * y) \ u). [para(6(a,1),8545(a,1,2,1,2)),flip(a)]. given #8058 (H,wt=17): 8554 K(x,(y * (z / y)) * u) = K(x,T(z,y) * u). [para(2920(a,2),8548(a,1,2,1)),flip(a)]. given #8059 (H,wt=18): 8463 T(x,y * (z * L(u,w,w))) = T(x,y * (z * u)). [para(8390(a,1),8456(a,1,2))]. given #8060 (H,wt=18): 8464 T(x,(L(y,z,z) * u) * w) = T(x,(y * u) * w). [para(8420(a,1),8456(a,1,2))]. given #8061 (H,wt=17): 8564 T(x,(y * (1 / z)) * u) = T(x,(y / z) * u). [para(2972(a,1),8464(a,1,2,1)),flip(a)]. given #8062 (H,wt=17): 8565 T(x,T(y * z,y) * u) = T(x,(z * y) * u). [para(3120(a,1),8464(a,1,2,1))]. given #8063 (H,wt=18): 8487 K(x,y * (L(z,u,z) \ w)) = K(x,y * (z \ w)). [para(6633(a,1),8443(a,1,2,2))]. given #8064 (H,wt=18): 8491 T(x,y \ (L(z,u,z) \ w)) = T(x,y \ (z \ w)). [para(6796(a,1),8459(a,1,2,2))]. given #8065 (H,wt=18): 8493 T(x,y * (L(z,u,u) * w)) = T(x,y * (z * w)). [para(4784(a,1),8462(a,1,2,2))]. given #8066 (H,wt=18): 8494 T(x,y * (L(z,u,u) \ w)) = T(x,y * (z \ w)). [para(6140(a,1),8462(a,1,2,2))]. given #8067 (H,wt=19): 8470 T(x,y \ ((z * z) * u)) = T(x,y \ (z * (z * u))). [para(3559(a,1),8457(a,1,2,2)),flip(a)]. given #8068 (H,wt=19): 8471 T(x,((y * y) \ z) * u) = T(x,(y \ (y \ z)) * u). [para(254(a,1),8460(a,1,2,1))]. given #8069 (H,wt=19): 8476 T(x,((y \ z) * z) * u) = T(x,(z * (z / y)) * u). [para(3490(a,1),8460(a,1,2,1)),flip(a)]. given #8070 (H,wt=19): 8477 T(x,((y / z) * y) * u) = T(x,(y * (z \ y)) * u). [para(6218(a,1),8460(a,1,2,1)),flip(a)]. given #8071 (H,wt=19): 8478 T(x,((y \ 1) \ (z \ 1)) * u) = T(x,(y / z) * u). [para(6992(a,1),8460(a,1,2,1))]. given #8072 (H,wt=19): 8479 T(x,y * ((z * z) \ u)) = T(x,y * (z \ (z \ u))). [para(254(a,1),8461(a,1,2,2))]. given #8073 (H,wt=19): 8485 T(x,y * ((z \ 1) \ (u \ 1))) = T(x,y * (z / u)). [para(6992(a,1),8461(a,1,2,2))]. given #8074 (H,wt=19): 8503 K(x,((y / z) * y) * u) = K(x,(y * (z \ y)) * u). [para(6218(a,1),8498(a,1,2,1)),flip(a)]. given #8075 (H,wt=19): 8508 T(x,(y * (1 / z)) \ u) = T(x,(z * (1 / y)) * u). [hyper(6113,a,8472,a)]. given #8076 (H,wt=17): 8584 T(x,(y * (1 / z)) \ u) = T(x,(z / y) * u). [hyper(272,a,8564,a(flip),b,8508,a),flip(a)]. given #8077 (H,wt=17): 8585 T(x,((y \ 1) / z) * u) = T(x,(z * y) \ u). [para(72(a,1),8584(a,1,2,1,2)),flip(a)]. given #8078 (H,wt=19): 8509 T(x,((y * z) * y) * u) = T(x,(y * (z * y)) * u). [para(3502(a,1),8472(a,1,2,1))]. given #8079 (H,wt=19): 8510 T(x,((y * z) * z) * u) = T(x,(z * (z * y)) * u). [para(3503(a,1),8472(a,1,2,1))]. given #8080 (H,wt=19): 8513 T(x,y * ((z \ u) / z)) = T(x,y * (z \ (u / z))). [para(376(a,1),8480(a,1,2,2))]. given #8081 (H,wt=19): 8520 T(x,y * ((z * u) * z)) = T(x,y * (z * (u * z))). [para(3502(a,1),8481(a,1,2,2))]. given #8082 (H,wt=19): 8521 T(x,y * ((z * u) * u)) = T(x,y * (u * (u * z))). [para(3503(a,1),8481(a,1,2,2))]. given #8083 (H,wt=19): 8524 T(x,y * ((1 / z) / u)) = T(x,y * (z \ (u \ 1))). [hyper(58,a,8480,a(flip),b,8483,a),flip(a)]. given #8084 (H,wt=19): 8542 T(x,y * ((z * u) * u)) = T(x,y * ((u * u) * z)). [para(4394(a,1),8518(a,1,2,2))]. given #8085 (H,wt=19): 8543 T(x,(y * T(y,z)) * u) = T(x,y * (T(y,z) * u)). [para(6196(a,1),8518(a,1,2))]. given #8086 (H,wt=19): 8546 K(x,((y \ 1) * z) * u) = x \ T(x,(y \ z) * u). [hyper(272,a,2672,a(flip),b,8535,a),flip(a)]. given #8087 (H,wt=17): 8587 T(x,((y \ 1) * z) * u) = T(x,(y \ z) * u). [hyper(2736,a,8546,a)]. given #8088 (H,wt=17): 8589 T(x,((1 / y) \ z) * u) = T(x,(y * z) * u). [para(74(a,1),8587(a,1,2,1,1)),flip(a)]. given #8089 (H,wt=17): 8591 T(x,T(y * z,z) * u) = T(x,(z * y) * u). [para(2773(a,2),8589(a,1,2,1))]. given #8090 (H,wt=19): 8547 K(x,((1 / y) \ z) \ u) = K(x,(z \ (y \ 1)) * u). [hyper(58,a,6082,a(flip),b,8535,a)]. given #8091 (H,wt=19): 8549 T(x,y * ((z * u) / z)) = T(x,y * (u * K(z,u))). [para(2873(a,2),8539(a,1,2,2,2)),flip(a)]. given #8092 (H,wt=17): 8593 T(x,y * ((z * u) / z)) = T(x,y * T(u,z)). [para(2652(a,2),8549(a,2,2,2))]. given #8093 (H,wt=15): 8594 T(x,y * T(T(z,u),u)) = T(x,y * z). [para(206(a,1),8593(a,1,2,2)),flip(a)]. given #8094 (H,wt=19): 8551 T(x,y * (z * (u / z))) = x * K(x,y * T(u,z)). [hyper(272,a,2674,a(flip),b,8540,a),flip(a)]. given #8095 (H,wt=19): 8556 T(x,y * (((y \ z) * u) * y)) = T(x,z * (u * y)). [hyper(58,a,6060,a,b,8552,a)]. given #8096 (H,wt=19): 8560 T(x,(y * (z * u)) / u) = T(x,u * ((u \ y) * z)). [para(2027(a,1),8463(a,1,2))]. given #8097 (H,wt=19): 8566 T(x,y \ ((y * z) * u)) = T(x,(z * (u / y)) * y). [para(3121(a,1),8464(a,1,2))]. given #8098 (H,wt=19): 8567 T(x,y \ (z * (u * y))) = T(x,((y \ z) * u) * y). [para(4757(a,1),8464(a,1,2))]. given #8099 (H,wt=19): 8568 T(x,(y * (1 / z)) / u) = T(x,(y / z) * (u \ 1)). [hyper(6059,a,8564,a)]. given #8100 (H,wt=17): 8597 T(x,(y * (1 / z)) / u) = T(x,(y / z) / u). [hyper(272,a,5988,a(flip),b,8568,a),flip(a)]. given #8101 (H,wt=19): 8581 T(x,y \ ((z * u) * u)) = T(x,y \ (u * (u * z))). [hyper(58,a,5198,a,b,8470,a)]. given #8102 (H,wt=19): 8583 T(x,((1 / y) / z) * u) = T(x,(y \ (z \ 1)) * u). [para(74(a,1),8478(a,1,2,1,1)),flip(a)]. given #8103 (H,wt=19): 8586 T(x,((y * z) * z) * u) = T(x,(y * (z * z)) * u). [para(2956(a,2),8510(a,2,2,1))]. given #8104 (H,wt=19): 8588 T(x,((y \ 1) / z) * u) = T(x,(y \ (z \ 1)) * u). [hyper(58,a,8475,a(flip),b,8587,a)]. given #8105 (H,wt=17): 8599 T(x,(y \ (z \ 1)) * u) = T(x,(z * y) \ u). [hyper(58,a,8585,a(flip),b,8588,a),flip(a)]. given #8106 (H,wt=17): 8600 T(x,((1 / y) / z) * u) = T(x,(z * y) \ u). [hyper(58,a,8583,a,b,8599,a)]. given #8107 (H,wt=19): 8590 T(x,(y * z) * (u * y)) = T(x,y * ((z * u) * y)). [para(27(a,1),8589(a,1,2)),flip(a)]. given #8108 (H,wt=19): 8592 K(x,T(y * z,z) \ u) = K(x,(y \ (z \ 1)) * u). [para(2773(a,2),8547(a,1,2,1))]. given #8109 (H,wt=17): 8602 K(x,(y \ (z \ 1)) * u) = K(x,(z * y) \ u). [hyper(58,a,8553,a(flip),b,8592,a),flip(a)]. given #8110 (H,wt=17): 8603 K(x,((1 / y) * z) \ u) = K(x,(z \ y) * u). [para(74(a,1),8602(a,1,2,1,2)),flip(a)]. given #8111 (H,wt=17): 8605 K(x,(T(y,z) \ z) * u) = K(x,(y / z) \ u). [para(2780(a,1),8603(a,1,2,1)),flip(a)]. given #8112 (H,wt=15): 8606 K(x,(y / z) \ u) = K(x,(z / y) * u). [hyper(58,a,8536,a(flip),b,8605,a),flip(a)]. given #8113 (H,wt=15): 8607 K(x,(y / (z * y)) * u) = K(x,z \ u). [para(6(a,1),8606(a,1,2,1)),flip(a)]. given #8114 (H,wt=15): 8609 K(x,(y \ (y / z)) * u) = K(x,z \ u). [para(3305(a,1),8607(a,1,2,1))]. given #8115 (H,wt=15): 8610 K(x,(y \ z) \ u) = K(x,(z \ y) * u). [para(72(a,1),8609(a,1,2,1,2)),flip(a)]. given #8116 (H,wt=17): 8611 K(x,T(1 / y,z) * u) = K(x,T(y,z) \ u). [para(2254(a,1),8609(a,1,2,1))]. given #8117 (H,wt=17): 8612 x \ T(x,(y \ z) * u) = K(x,(z \ y) \ u). [hyper(272,a,2672,a(flip),b,8610,a)]. given #8118 (H,wt=15): 8614 T(x,(y \ z) \ u) = T(x,(z \ y) * u). [hyper(33,a,2672,a(flip),b,8612,a)]. given #8119 (H,wt=15): 8616 T(x,((y * z) \ y) \ u) = T(x,z * u). [para(4(a,1),8614(a,2,2,1))]. given #8120 (H,wt=15): 8617 T(x,(y \ (y / z)) * u) = T(x,z \ u). [para(74(a,1),8614(a,1,2,1)),flip(a)]. given #8121 (H,wt=15): 8620 T(x,(y / z) \ u) = T(x,(z / y) * u). [para(3309(a,1),8616(a,1,2,1))]. given #8122 (H,wt=17): 8621 T(x,T(1 / y,z) * u) = T(x,T(y,z) \ u). [para(2254(a,1),8617(a,1,2,1))]. given #8123 (H,wt=18): 8615 K(x,(y \ z) \ u) != w | K(x,(z \ y) * u) = w. [para(8612(a,1),2691(a,1))]. given #8124 (H,wt=19): 8613 K(x,(y \ z) * T(u,z \ y)) = K(x,u / (z \ y)). [hyper(58,a,5972,a(flip),b,8610,a),flip(a)]. given #8125 (H,wt=17): 8624 K(x,y / ((z \ u) \ 1)) = K(x,y / (u \ z)). [para(4463(a,1),8613(a,1,2))]. given #8126 (H,wt=15): 8625 K(x,y / (z \ u)) = K(x,y * (u \ z)). [hyper(6111,a,8624,a),flip(a)]. given #8127 (H,wt=15): 8627 K(x,y / (z \ x)) = K(x,x \ (y * z)). [hyper(272,a,8042,a,b,8625,a),flip(a)]. given #8128 (H,wt=15): 8630 K(x,x \ (y * (x / z))) = K(x,y / z). [para(74(a,1),8627(a,1,2,2)),flip(a)]. given #8129 (H,wt=15): 8631 K(x,y \ T(z,y \ x)) = K(x,z / y). [hyper(58,a,8111,a,b,8630,a)]. given #8130 (H,wt=17): 8628 K(x,y * ((z * u) \ u)) = K(x,y / T(z,u)). [para(17(a,2),8625(a,1,2,2)),flip(a)]. given #8131 (H,wt=17): 8633 K(x,y * T(z \ 1,u)) = K(x,y / T(z,u)). [para(2258(a,2),8628(a,1,2,2))]. given #8132 (H,wt=18): 8626 K(x,y / (z \ u)) != w | K(x,y * (u \ z)) = w. [para(8624(a,1),6111(a,1))]. given #8133 (H,wt=20): 8419 a(x,R(y \ z,y,u),x) = a(x,(y * u) \ (z * u),x). [para(563(a,1),8413(a,1,2))]. given #8134 (H,wt=20): 8495 T(x,y * (z * (a(u,u,w) * v5))) = T(x,y * (z * v5)). [para(8383(a,1),8462(a,1,2,2))]. given #8135 (H,wt=20): 8595 T(x,y * (z * (u / z))) != w | T(x,y * T(u,z)) = w. [para(8551(a,2),2737(a,1))]. given #8136 (H,wt=20): 8598 T(x,(y * (1 / z)) / u) != w | T(x,(y / z) / u) = w. [para(8568(a,2),6059(a,1))]. given #8137 (H,wt=21): 8374 x \ (y * (z * a(u,u,w))) = (x \ (y * z)) * a(u,u,w). [para(8351(a,1),8352(a,1,2))]. given #8138 (H,wt=21): 8375 (x * (y * a(z,u,u))) * w = (x * y) * (a(z,u,u) * w). [para(8353(a,1),8349(a,1,1))]. given #8139 (H,wt=21): 8380 x \ (y * (a(z,u,z) * w)) = a(z,u,z) * (x \ (y * w)). [para(8364(a,1),8366(a,1,2))]. given #8140 (H,wt=21): 8421 (a(x,y,x) * z) \ ((a(x,y,x) * u) * w) = z \ (u * w). [para(8391(a,2),8396(a,1,2))]. given #8141 (H,wt=21): 8435 L(x,y,y) \ ((L(x,y,y) * z) * u) = x \ ((x * z) * u). [hyper(112,a,8428,a(flip),b,4779,a)]. given #8142 (H,wt=21): 8436 L(x,y,y) \ ((x * z) * u) = x \ ((L(x,y,y) * z) * u). [para(8428(a,1),6145(a,1,2)),flip(a)]. given #8143 (H,wt=21): 8534 K(x,y * (z * (u \ (w \ u)))) = K(x,y * (z / T(w,u))). [para(2999(a,1),8500(a,1,2,2,2))]. given #8144 (H,wt=21): 8537 K(x,(y * (z * (1 / y))) * u) = K(x,(y * (z / y)) * u). [para(3829(a,1),8502(a,1,2,1))]. given #8145 (H,wt=19): 8646 K(x,(y * (z * (1 / y))) * u) = K(x,T(z,y) * u). [hyper(272,a,8554,a(flip),b,8537,a),flip(a)]. given #8146 (H,wt=21): 8558 T(x,y * (z * ((1 / u) * w))) = T(x,y * (z * (u \ w))). [para(1996(a,1),8463(a,1,2,2,2)),flip(a)]. given #8147 (H,wt=21): 8559 T(x,y * (z * ((u \ 1) \ w))) = T(x,y * (z * (u * w))). [para(2002(a,1),8463(a,1,2,2,2))]. given #8148 (H,wt=21): 8561 T(x,y * (z * (u * (w \ 1)))) = T(x,y * (z * (u / w))). [para(3112(a,1),8463(a,1,2,2,2)),flip(a)]. given #8149 (H,wt=21): 8562 T(x,y * (z * (T(u,w) / w))) = T(x,y * (z * (w \ u))). [para(3129(a,1),8463(a,1,2,2,2))]. given #8150 (H,wt=21): 8569 K(x,y * (T(z / u,z) \ w)) = K(x,y * ((u \ z) \ w)). [para(2340(a,1),8487(a,1,2,2,1))]. given #8151 (H,wt=21): 8570 T(x,y \ (T(z,z * u) \ w)) = T(x,y \ (T(z,u) \ w)). [para(5394(a,1),8491(a,1,2,2,1))]. given #8152 (H,wt=19): 8654 T(x,y \ T(z \ 1,u)) = T(x,y \ (T(z,u) \ 1)). [para(3388(a,1),8570(a,1,2,2))]. given #8153 (H,wt=19): 8655 T(x,y \ T(1 / z,u)) = T(x,y \ (T(z,u) \ 1)). [hyper(58,a,5787,a,b,8654,a)]. given #8154 (H,wt=21): 8572 T(x,y * (((1 / z) * u) * w)) = T(x,y * ((z \ u) * w)). [para(1996(a,1),8493(a,1,2,2,1)),flip(a)]. given #8155 (H,wt=21): 8573 T(x,y * ((z / (1 / u)) * w)) = T(x,y * ((z * u) * w)). [para(2020(a,1),8493(a,1,2,2,1)),flip(a)]. given #8156 (H,wt=21): 8574 T(x,y * (T(z,u \ 1) * w)) = T(x,y * (T(z,u) * w)). [para(2792(a,1),8493(a,1,2,2,1))]. given #8157 (H,wt=21): 8575 T(x,y * ((z \ T(u,z)) * w)) = T(x,y * ((u / z) * w)). [para(2933(a,1),8493(a,1,2,2,1))]. given #8158 (H,wt=21): 8576 T(x,y * ((z * (u \ 1)) * w)) = T(x,y * ((z / u) * w)). [para(3112(a,1),8493(a,1,2,2,1)),flip(a)]. given #8159 (H,wt=21): 8577 T(x,y * ((T(z,u) / u) * w)) = T(x,y * ((u \ z) * w)). [para(3129(a,1),8493(a,1,2,2,1))]. given #8160 (H,wt=21): 8579 T(x,y * (((z \ 1) \ u) \ w)) = T(x,y * ((z * u) \ w)). [para(2002(a,1),8494(a,1,2,2,1))]. given #8161 (H,wt=21): 8580 T(x,y * (T(z,u \ 1) \ w)) = T(x,y * (T(z,u) \ w)). [para(2792(a,1),8494(a,1,2,2,1))]. given #8162 (H,wt=19): 8665 T(x,K(y,z \ 1) * u) = T(x,y * (T(y,z) \ u)). [para(3946(a,1),8580(a,1,2))]. given #8163 (H,wt=17): 8666 T(x,K(y,z \ 1) * u) = T(x,K(y,z) * u). [para(3946(a,1),8665(a,2,2))]. given #8164 (H,wt=21): 8619 T(x,(y \ ((y \ 1) / z)) * u) = T(x,(y * (y * z)) \ u). [para(4925(a,1),8614(a,1,2,1)),flip(a)]. given #8165 (H,wt=21): 8640 (x * x) \ (y * (x * a(z,z,u))) = (y / x) * a(z,z,u). [para(3263(a,1),8374(a,2,1))]. given #8166 (H,wt=21): 8641 (x * (a(y,z,z) * u)) * w = (x * u) * (a(y,z,z) * w). [para(5600(a,2),8375(a,1,1,2))]. given #8167 (H,wt=19): 8668 (x * L(y,z,z)) * (a(y,z,z) * u) = (x * y) * u. [para(3807(a,1),8641(a,1,1,2)),flip(a)]. given #8168 (H,wt=18): 8669 K(x,(y * L(z,u,u)) * w) = K(x,(y * z) * w). [para(8668(a,1),8488(a,1,2)),flip(a)]. given #8169 (H,wt=18): 8670 T(x,(y * L(z,u,u)) * w) = T(x,(y * z) * w). [para(8668(a,1),8492(a,1,2)),flip(a)]. given #8170 (H,wt=21): 8649 T(x,y * (z * (u / T(w,u)))) = T(x,y * (z * (w \ u))). [para(2242(a,2),8558(a,1,2,2,2))]. given #8171 (H,wt=21): 8652 K(x,y * (((z \ u) \ u) \ w)) = K(x,y * (T(z,u) \ w)). [para(72(a,1),8569(a,1,2,2,1,1)),flip(a)]. given #8172 (H,wt=21): 8653 T(x,y \ (T(z,u * z) \ w)) = T(x,y \ (T(z,u) \ w)). [para(2315(a,2),8570(a,1,2,2,1))]. given #8173 (H,wt=21): 8671 K(x,(y * ((z \ 1) \ u)) * w) = K(x,(y * (z * u)) * w). [para(2002(a,1),8669(a,1,2,1,2))]. given #8174 (H,wt=21): 8672 T(x,(y * ((1 / z) * u)) * w) = T(x,(y * (z \ u)) * w). [para(1996(a,1),8670(a,1,2,1,2)),flip(a)]. given #8175 (H,wt=21): 8673 T(x,(y * ((z \ 1) \ u)) * w) = T(x,(y * (z * u)) * w). [para(2002(a,1),8670(a,1,2,1,2))]. given #8176 (H,wt=21): 8674 T(x,(y * (z \ T(u,z))) * w) = T(x,(y * (u / z)) * w). [para(2933(a,1),8670(a,1,2,1,2))]. given #8177 (H,wt=21): 8675 T(x,(y * (z * (u \ 1))) * w) = T(x,(y * (z / u)) * w). [para(3112(a,1),8670(a,1,2,1,2)),flip(a)]. given #8178 (H,wt=19): 8681 T(x,(y \ (z * z)) * u) = T(x,(z * (z / y)) * u). [para(3290(a,1),8675(a,1,2,1))]. given #8179 (H,wt=21): 8677 K(x,y * (T(z,z \ u) \ w)) = K(x,y * (T(z,u) \ w)). [para(99(a,2),8652(a,1,2,2,1))]. given #8180 (H,wt=21): 8679 T(x,(y * (z / T(u,z))) * w) = T(x,(y * (u \ z)) * w). [para(2242(a,2),8672(a,1,2,1,2))]. given #8181 (H,wt=22): 8416 L(x,R(y \ R(y,z,u),y,z * u),x) = L(x,a(y,z,u),x). [para(1678(a,2),8414(a,1,2)),flip(a)]. given #8182 (H,wt=22): 8496 T(x,y * (z * (u * L(w,v5,v5)))) = T(x,y * (z * (u * w))). [para(8390(a,1),8462(a,1,2,2))]. given #8183 (H,wt=21): 8683 T(x,y * (z * ((1 / u) \ w))) = T(x,y * (z * (u * w))). [para(2000(a,1),8496(a,1,2,2,2))]. given #8184 (H,wt=21): 8684 T(x,y * (z * ((u \ 1) * w))) = T(x,y * (z * (u \ w))). [para(2030(a,1),8496(a,1,2,2,2)),flip(a)]. given #8185 (H,wt=22): 8497 T(x,y * ((L(z,u,u) * w) * v5)) = T(x,y * ((z * w) * v5)). [para(8420(a,1),8462(a,1,2,2))]. given #8186 (H,wt=21): 8690 T(x,y * ((z * (1 / u)) * w)) = T(x,y * ((z / u) * w)). [para(2972(a,1),8497(a,1,2,2,1)),flip(a)]. given #8187 (H,wt=22): 8635 T(x,y * (z * (L(u,w,w) * v5))) = T(x,y * (z * (u * v5))). [para(4784(a,1),8495(a,1,2,2,2))]. given #8188 (H,wt=21): 8691 T(x,y * (z * (u * (1 / w)))) = T(x,y * (z * (u / w))). [para(2972(a,1),8635(a,1,2,2,2)),flip(a)]. given #8189 (H,wt=22): 8636 T(x,y * (z * (L(u,w,w) \ v5))) = T(x,y * (z * (u \ v5))). [para(6140(a,1),8495(a,1,2,2,2))]. given #8190 (H,wt=23): 8516 T(x,y * ((z * K(u,w)) \ v5)) = T(x,y * ((K(u,w) / z) * v5)). [para(5638(a,1),8480(a,1,2,2,1)),flip(a)]. given #8191 (H,wt=23): 8563 T(x,y * (z * ((u * u) * w))) = T(x,y * (z * (u * (u * w)))). [para(3559(a,1),8463(a,1,2,2,2)),flip(a)]. given #8192 (H,wt=23): 8571 T(x,y * (((z * z) \ u) * w)) = T(x,y * ((z \ (z \ u)) * w)). [para(254(a,1),8493(a,1,2,2,1))]. given #8193 (H,wt=23): 8578 T(x,y * (((z * z) * u) * w)) = T(x,y * ((z * (z * u)) * w)). [para(3559(a,1),8493(a,1,2,2,1)),flip(a)]. given #8194 (H,wt=23): 8582 T(x,((y \ T(z,y)) * z) * u) = T(x,(z * (z / T(y,z))) * u). [para(2245(a,1),8476(a,1,2,1,1))]. given #8195 (H,wt=23): 8623 T(x,y) \ T(T(x,(z / u) * w),y) = K(x,T((u / z) \ w,y)). [para(8620(a,1),5262(a,1,2,1))]. given #8196 (H,wt=22): 8703 K(x,T((y / z) \ u,w)) != v5 | K(x,T((z / y) * u,w)) = v5. [para(8623(a,1),5355(a,1))]. given #8197 (H,wt=23): 8629 x * K((y \ z) \ 1,x * (y \ z)) = (z \ y) * (x / (z \ y)). [para(8625(a,1),4333(a,1,2))]. given #8198 (H,wt=21): 8704 (x \ y) * (z * (1 / (x \ y))) = (y \ x) * (z / (y \ x)). [hyper(58,a,6164,a(flip),b,8629,a)]. given #8199 (H,wt=21): 8705 ((x \ y) * (z / (x \ y))) / (y \ x) = ((y \ x) \ 1) * z. [hyper(113,a,8704,a(flip),b,3342,a)]. given #8200 (H,wt=21): 8706 (x \ y) * ((z / (1 / (y \ x))) / (x \ y)) = (y \ x) * z. [para(7(a,1),8704(a,1,2)),flip(a)]. given #8201 (H,wt=21): 8707 ((x \ y) \ 1) * ((y \ x) * z) = (z * (y \ x)) / (x \ y). [para(2806(a,1),8705(a,1,1)),flip(a)]. given #8202 (H,wt=23): 8647 T(x,y * (z \ ((1 / u) * w))) = T(x,y * ((z \ 1) * (u \ w))). [hyper(58,a,8519,a(flip),b,8558,a)]. given #8203 (H,wt=21): 8708 T(x,y * (z \ ((1 / u) * w))) = T(x,y * (z \ (u \ w))). [hyper(272,a,8519,a(flip),b,8647,a),flip(a)]. given #8204 (H,wt=21): 8710 T(x,y * (z \ (T(u,w) \ w))) = T(x,y * (z \ (w / u))). [para(2793(a,1),8708(a,1,2,2,2)),flip(a)]. given #8205 (H,wt=21): 8711 T(x,y * (z \ (u * (w \ 1)))) = T(x,y * (z \ (u / w))). [para(2935(a,1),8710(a,1,2,2,2))]. given #8206 (H,wt=23): 8648 T(x,y * (z * ((u \ w) / u))) = T(x,y * (z * (u \ (w / u)))). [para(376(a,1),8558(a,1,2,2,2))]. given #8207 (H,wt=23): 8650 T(x,y * (z * ((u * w) * w))) = T(x,y * (z * (w * (w * u)))). [para(3503(a,1),8559(a,1,2,2,2))]. given #8208 (H,wt=23): 8651 T(x,y * (z * ((1 / u) / w))) = T(x,y * (z * (u \ (w \ 1)))). [hyper(58,a,8558,a(flip),b,8561,a),flip(a)]. given #8209 (H,wt=23): 8656 T(x,y * (((z \ u) / z) * w)) = T(x,y * ((z \ (u / z)) * w)). [para(376(a,1),8572(a,1,2,2,1))]. given #8210 (H,wt=23): 8658 T(x,y * (((z * u) * u) * w)) = T(x,y * ((u * (u * z)) * w)). [para(3574(a,1),8573(a,1,2,2,1)),flip(a)]. given #8211 (H,wt=23): 8659 T(x,y * (T(z,u \ 1) / w)) = T(x,y * (T(z,u) * (w \ 1))). [hyper(58,a,8483,a(flip),b,8574,a)]. given #8212 (H,wt=21): 8716 T(x,y * (T(z,u \ 1) / w)) = T(x,y * (T(z,u) / w)). [hyper(272,a,8483,a(flip),b,8659,a),flip(a)]. given #8213 (H,wt=23): 8660 T(x,y * ((z \ T(u,z)) / w)) = T(x,y * ((u / z) * (w \ 1))). [hyper(58,a,8483,a(flip),b,8575,a)]. given #8214 (H,wt=21): 8717 T(x,y * ((z \ T(u,z)) / w)) = T(x,y * ((u / z) / w)). [hyper(272,a,8483,a(flip),b,8660,a),flip(a)]. given #8215 (H,wt=21): 8718 T(x,y * ((z * (u \ 1)) / w)) = T(x,y * ((z / u) / w)). [para(2789(a,1),8717(a,1,2,2,1))]. given #8216 (H,wt=23): 8664 T(x,y * (((z * u) * z) \ w)) = T(x,y * ((z * (u * z)) \ w)). [para(3502(a,1),8579(a,1,2,2,1))]. given #8217 (H,wt=23): 8678 T(x,(y * ((z \ u) / z)) * w) = T(x,(y * (z \ (u / z))) * w). [para(376(a,1),8672(a,1,2,1,2))]. given #8218 (H,wt=23): 8680 T(x,(y * ((1 / z) / u)) * w) = T(x,(y * (z \ (u \ 1))) * w). [hyper(58,a,8672,a(flip),b,8675,a),flip(a)]. given #8219 (H,wt=23): 8682 K(x,y * (T(z,u) \ (z * w))) = K(x,y * (K(z \ u,z) * w)). [para(3939(a,1),8677(a,1,2,2)),flip(a)]. given #8220 (H,wt=21): 8719 K(x,y * (K(z \ u,z) * w)) = K(x,y * (K(u,z) * w)). [para(3939(a,1),8682(a,1,2,2)),flip(a)]. given #8221 (H,wt=23): 8685 T(x,y * ((z * (u * w)) / w)) = T(x,y * (w * ((w \ z) * u))). [para(2027(a,1),8496(a,1,2,2))]. given #8222 (H,wt=21): 8721 T(x,y * (y * ((y \ z) * u))) = T(x,T(z * (u * y),y)). [hyper(8555,a,8685,a),flip(a)]. given #8223 (H,wt=23): 8688 T(x,y * (z * ((1 / u) \ w))) = T(x,y * (z * ((u \ 1) \ w))). [hyper(272,a,8559,a,b,8683,a),flip(a)]. given #8224 (H,wt=23): 8689 T(x,y * (z * ((u \ 1) / w))) = T(x,y * (z * (u \ (w \ 1)))). [hyper(58,a,8561,a(flip),b,8684,a)]. given #8225 (H,wt=23): 8696 T(x,y * (z * ((1 / u) / w))) = T(x,y * (z * (u \ (1 / w)))). [hyper(58,a,8558,a(flip),b,8691,a),flip(a)]. given #8226 (H,wt=23): 8697 T(x,y * (z \ (u * (1 / w)))) = T(x,y * ((z \ 1) * (u / w))). [hyper(58,a,8519,a(flip),b,8691,a)]. given #8227 (H,wt=21): 8722 T(x,y * (z \ (u * (1 / w)))) = T(x,y * (z \ (u / w))). [hyper(272,a,8519,a(flip),b,8697,a),flip(a)]. given #8228 (H,wt=23): 8698 K(x,y * (z * (u * (1 / w)))) = x \ T(x,y * (z * (u / w))). [hyper(112,a,8691,a(flip),b,2674,a(flip)),flip(a)]. given #8229 (H,wt=21): 8723 K(x,y * (z * (u * (1 / w)))) = K(x,y * (z * (u / w))). [hyper(272,a,2672,a,b,8698,a),flip(a)]. given #8230 (H,wt=23): 8702 T(x,((y \ z) * T(z,y)) * u) = T(x,(z * (z / T(y,z))) * u). [para(5699(a,1),8582(a,1,2,1))]. given #8231 (H,wt=21): 8724 T(x,((y \ z) * T(z,y)) * u) = T(x,(z * (y \ z)) * u). [hyper(272,a,8679,a(flip),b,8702,a),flip(a)]. given #8232 (H,wt=23): 8712 T(x,y * (z \ ((1 / u) / w))) = T(x,y * (z \ (u \ (w \ 1)))). [hyper(58,a,8708,a(flip),b,8711,a),flip(a)]. given #8233 (H,wt=23): 8713 T(x,y * (z * ((u * w) * w))) = T(x,y * (z * (u * (w * w)))). [para(2956(a,2),8650(a,2,2,2,2))]. given #8234 (H,wt=23): 8715 T(x,y * (((z * u) * u) * w)) = T(x,y * ((z * (u * u)) * w)). [para(2956(a,2),8658(a,2,2,2,1))]. given #8235 (H,wt=24): 8365 (((x * y) * z) * a(u,w,u)) / ((y * z) * a(u,w,u)) = R(x,y,z). [hyper(58,a,449,a,b,8363,a)]. given #8236 (H,wt=24): 8377 (x * y) \ (x * (a(z,u,z) * (y * w))) = L(w * a(z,u,z),y,x). [para(8362(a,2),13(a,2,2,2)),flip(a)]. given #8237 (H,wt=24): 8399 ((a(x,y,x) * (z * u)) * w) / (u * w) = R(a(x,y,x) * z,u,w). [para(8391(a,1),15(a,2,1,1)),flip(a)]. given #8238 (H,wt=24): 8418 L(x,R(y * K(z,y),z,u),x) = L(x,(z * u) \ ((z * y) * u),x). [para(2870(a,2),8415(a,1,2))]. given #8239 (H,wt=20): 8728 L(x,(y * z) \ ((y * u) * z),x) = L(x,R(u,y,z),x). [hyper(58,a,8417,a(flip),b,8418,a),flip(a)]. given #8240 (H,wt=24): 8432 a(x,y,x) * T(z,u) != w * v5 | w \ T(z * a(x,y,x),u) = v5. [para(8431(a,1),341(a,1,2))]. given #8241 (H,wt=24): 8639 (x * y) \ (x * ((y * z) * a(u,u,w))) = L(z,y,x) * a(u,u,w). [para(13(a,2),8374(a,2,1))]. given #8242 (H,wt=24): 8695 T(x,y * (z * (u * L(1 / w,v5,v5)))) = T(x,y * (z * (u / w))). [hyper(58,a,8496,a,b,8691,a)]. given #8243 (H,wt=24): 8725 ((x * y) * (z * a(u,w,u))) / ((y * z) * a(u,w,u)) = R(x,y,z). [para(8335(a,1),8365(a,1,1))]. given #8244 (H,wt=24): 8726 a(x,y,x) * ((z * u) \ (z * (u * w))) = L(w * a(x,y,x),u,z). [hyper(58,a,8380,a(flip),b,8377,a)]. given #8245 (H,wt=19): 8733 L(x * a(y,z,y),u,w) = a(y,z,y) * L(x,u,w). [para(13(a,2),8726(a,1,2)),flip(a)]. given #8246 (H,wt=19): 8734 L(x * a(y,z,y),u,w) = L(x,u,w) * a(y,z,y). [hyper(272,a,6640,a(flip),b,8733,a),flip(a)]. given #8247 (H,wt=23): 8735 L(x * a(y,z,y),u,w) * v5 = L(x,u,w) * (a(y,z,y) * v5). [para(8734(a,2),8344(a,1,1))]. given #8248 (H,wt=24): 8727 (a(x,y,x) * ((z * u) * w)) / (u * w) = R(a(x,y,x) * z,u,w). [para(8391(a,1),8399(a,1,1))]. given #8249 (H,wt=24): 8730 (x * y) \ (x * (y * (z * a(u,u,w)))) = L(z,y,x) * a(u,u,w). [para(8351(a,1),8639(a,1,2,2))]. given #8250 (H,wt=19): 8738 L(x * a(y,y,z),u,w) = L(x,u,w) * a(y,y,z). [hyper(430,a,8730,a)]. given #8251 (H,wt=24): 8731 T(x,y * (z * (u * (1 / L(w,v5,v5))))) = T(x,y * (z * (u / w))). [para(3790(a,1),8695(a,1,2,2,2,2))]. given #8252 (H,wt=22): 8739 T(x,y * (z * (u / L(w,v5,v5)))) = T(x,y * (z * (u / w))). [hyper(58,a,8691,a(flip),b,8731,a)]. given #8253 (H,wt=24): 8732 ((x * y) * (z * a(u,w,u))) / (y * (z * a(u,w,u))) = R(x,y,z). [para(8335(a,1),8725(a,1,2))]. given #8254 (H,wt=14): 8743 R(x,y,z * a(u,w,u)) = R(x,y,z). [hyper(457,a,8732,a)]. given #8255 (H,wt=14): 8747 R(x,y,z * a(u,w,w)) = R(x,y,z). [para(6793(a,2),8743(a,1,3,2))]. given #8256 (H,wt=12): 8748 R(x,y,L(z,u,u)) = R(x,y,z). [para(1183(a,2),8747(a,1,3))]. given #8257 (H,wt=14): 8749 R(x,y,a(z,u,u) * w) = R(x,y,w). [para(5600(a,2),8747(a,1,3))]. given #8258 (H,wt=14): 8750 R(x,y,a(z,z,u) * w) = R(x,y,w). [para(5629(a,2),8747(a,1,3))]. given #8259 (H,wt=15): 8745 R(x,y,T(z * u,z)) = R(x,y,u * z). [para(6622(a,1),8743(a,1,3))]. given #8260 (H,wt=13): 8756 R(x,y,z * y) = R(x,y,y * z). [hyper(58,a,8091,a(flip),b,8745,a),flip(a)]. given #8261 (H,wt=15): 8751 R(x,y,(1 / z) * u) = R(x,y,z \ u). [para(1996(a,1),8748(a,1,3)),flip(a)]. given #8262 (H,wt=15): 8752 R(x,y,T(z,u \ 1)) = R(x,y,T(z,u)). [para(2792(a,1),8748(a,1,3))]. given #8263 (H,wt=15): 8753 R(x,y,z * (u \ 1)) = R(x,y,z / u). [para(3112(a,1),8748(a,1,3)),flip(a)]. given #8264 (H,wt=16): 8746 R(x,y,L(z,u,z) \ w) = R(x,y,z \ w). [para(6633(a,1),8743(a,1,3))]. given #8265 (H,wt=16): 8754 R(x,y,L(z,u,u) * w) = R(x,y,z * w). [para(8311(a,1),8749(a,1,3))]. given #8266 (H,wt=15): 8765 R(x,y,z * (1 / u)) = R(x,y,z / u). [para(2972(a,1),8754(a,1,3)),flip(a)]. given #8267 (H,wt=16): 8755 R(x,y,z * L(u,w,w)) = R(x,y,z * u). [para(8385(a,1),8750(a,1,3))]. given #8268 (H,wt=15): 8768 R(x,y,(z \ 1) * u) = R(x,y,z \ u). [para(2030(a,1),8755(a,1,3)),flip(a)]. given #8269 (H,wt=17): 8744 R(x,y,(z * u) * z) = R(x,y,z * (u * z)). [para(79(a,1),8743(a,1,3))]. given #8270 (H,wt=17): 8770 R(x,y,(z \ 1) / u) = R(x,y,z \ (u \ 1)). [hyper(58,a,8753,a(flip),b,8768,a)]. given #8271 (H,wt=19): 8759 R(x,y,z * (u \ (w \ u))) = R(x,y,z / T(w,u)). [para(2999(a,1),8753(a,1,3,2))]. given #8272 (H,wt=19): 8763 R(x,y,T(z,z * u) \ w) = R(x,y,T(z,u) \ w). [para(5394(a,1),8746(a,1,3,1))]. given #8273 (H,wt=19): 8764 R(x,y,((1 / z) * u) * w) = R(x,y,(z \ u) * w). [para(1996(a,1),8754(a,1,3,1)),flip(a)]. given #8274 (H,wt=19): 8766 R(x,y,(z * (u \ 1)) * w) = R(x,y,(z / u) * w). [para(3112(a,1),8754(a,1,3,1)),flip(a)]. given #8275 (H,wt=19): 8767 R(x,y,(T(z,u) / u) * w) = R(x,y,(u \ z) * w). [para(3129(a,1),8754(a,1,3,1))]. given #8276 (H,wt=19): 8769 R(x,y,z * (u * (w \ 1))) = R(x,y,z * (u / w)). [para(3112(a,1),8755(a,1,3,2)),flip(a)]. given #8277 (H,wt=15): 8772 R(x,y,z * (u / z)) = R(x,y,T(u,z)). [para(2843(a,2),8769(a,1,3)),flip(a)]. given #8278 (H,wt=21): 8757 R(x,y,T(z,z * u) \ w) = R(x,y,T(1 / z,u) * w). [para(3336(a,1),8751(a,1,3,1)),flip(a)]. given #8279 (H,wt=19): 8774 R(x,y,T(1 / z,u) * w) = R(x,y,T(z,u) \ w). [hyper(58,a,8763,a(flip),b,8757,a),flip(a)]. given #8280 (H,wt=19): 8775 R(x,y,T(z \ 1,u) \ w) = R(x,y,T(z,u) * w). [para(72(a,1),8774(a,1,3,1,1)),flip(a)]. given #8281 (H,wt=21): 8771 R(x,y,((1 / z) / u) * w) = R(x,y,(z \ (u \ 1)) * w). [hyper(58,a,8764,a(flip),b,8766,a),flip(a)]. given #8282 (H,wt=21): 8773 R(x,y,K(z,u) * T(w,z)) = R(x,y,T(z,u) * (w / z)). [para(3205(a,1),8769(a,1,3))]. given #8283 (H,wt=23): 8758 R(x,y,((z \ 1) * (1 / u)) * w) = R(x,y,(u / (1 / z)) \ w). [para(4173(a,1),8751(a,1,3,1))]. given #8284 (H,wt=23): 8760 R(x,y,z * (u * ((w \ 1) \ 1))) = R(x,y,z / (w \ (1 / u))). [para(4097(a,1),8753(a,1,3,2))]. given #8285 (H,wt=21): 8776 R(x,y,z / (u \ (1 / w))) = R(x,y,z * (w / (u \ 1))). [hyper(58,a,8769,a(flip),b,8760,a),flip(a)]. given #8286 (H,wt=24): 8736 L(x,y,z) * (a(u,x,u) * u) = u * L(u \ T(u * x,u),y,z). [hyper(6630,a,8735,a),flip(a)]. given #8287 (H,wt=22): 8777 L(x,y,z) * R(u,x,u) = u * L(u \ T(u * x,u),y,z). [para(6611(a,1),8736(a,1,2))]. given #8288 (H,wt=22): 8778 L(x,y,z) \ T(u * L(u \ (u * x),y,z),u) = R(u,x,u). [hyper(112,a,1422,a,b,8777,a)]. given #8289 (H,wt=18): 8779 L(x,y,z) \ T(u * L(x,y,z),u) = R(u,x,u). [para(4(a,1),8778(a,1,2,1,2,1))]. given #8290 (H,wt=12): 8780 R(x,L(y,z,u),x) = R(x,y,x). [hyper(2336,a,8779,a)]. given #8291 (H,wt=14): 8782 a(x,L(y,z,u),x) = x \ R(x,y,x). [para(8780(a,1),6606(a,1,2)),flip(a)]. given #8292 (H,wt=12): 8783 a(x,L(y,z,u),x) = a(x,y,x). [hyper(272,a,6606,a(flip),b,8782,a),flip(a)]. given #8293 (H,wt=14): 8784 L(x,L(y,z,u),x) = a(x,y,x) \ x. [para(8783(a,1),6614(a,1,1)),flip(a)]. given #8294 (H,wt=12): 8785 L(x,L(y,z,u),x) = L(x,y,x). [hyper(272,a,6614,a(flip),b,8784,a),flip(a)]. given #8295 (H,wt=17): 8786 L(x,L(y,z,u) \ y,x) = L(x,a(u,z,y),x). [para(1456(a,2),8785(a,1,2)),flip(a)]. given #8296 (H,wt=18): 8781 L(x,y,z) * R(u,x,u) = T(u * L(x,y,z),u). [hyper(127,a,8779,a)]. given #8297 (H,wt=23): 8787 K(x,x * y) * T(x * L(y,z,u),x) = L(y,z,u) * T(x,y). [para(8781(a,1),6934(a,1,2))]. given #8298 (H,wt=21): 8788 T(T(x,x * y) * L(y,z,u),x) = L(y,z,u) * T(x,y). [hyper(4714,a,8787,a)]. given #8299 (H,wt=19): 8789 T(x * L(y,z,u),x * y) = L(y,z,u) * T(x,y). [hyper(58,a,7118,a(flip),b,8788,a)]. given #8300 (H,wt=24): 8737 a(x,y,x) * (((z * u) * w) / (u * w)) = R(a(x,y,x) * z,u,w). [hyper(58,a,8369,a(flip),b,8727,a)]. given #8301 (H,wt=19): 8792 R(a(x,y,x) * z,u,w) = a(x,y,x) * R(z,u,w). [para(15(a,2),8737(a,1,2)),flip(a)]. given #8302 (H,wt=19): 8793 a(x,y,x) \ R(a(x,y,x) * z,u,w) = R(z,u,w). [hyper(112,a,8792,a,b,xx)]. given #8303 (H,wt=19): 8795 R(x * a(y,z,y),u,w) = R(x,u,w) * a(y,z,y). [para(8793(a,1),2395(a,1,1)),flip(a)]. given #8304 (H,wt=12): 8796 a(x,R(y,z,u),x) = a(x,y,x). [hyper(6686,a,8795,a)]. given #8305 (H,wt=17): 8797 a(x,(y * z) \ (u * z),x) = a(x,y \ u,x). [hyper(58,a,8419,a(flip),b,8796,a)]. given #8306 (H,wt=17): 8801 a(x,(y / z) \ u,x) = a(x,y \ (u * z),x). [para(7(a,1),8797(a,1,2,1)),flip(a)]. given #8307 (H,wt=19): 8802 a(x,y \ (z * u),x) \ x = L(x,(y / u) \ z,x). [para(8801(a,1),6614(a,1,1))]. given #8308 (H,wt=17): 8803 L(x,(y / z) \ u,x) = L(x,y \ (u * z),x). [hyper(6659,a,8802,a),flip(a)]. given #8309 (H,wt=17): 8804 L(x,(y * z) \ (u * z),x) = L(x,y \ u,x). [para(6(a,1),8803(a,1,2,1)),flip(a)]. given #8310 (H,wt=16): 8805 L(x,R(y,z,u),x) = L(x,z \ (z * y),x). [hyper(58,a,8728,a(flip),b,8804,a)]. given #8311 (H,wt=12): 8807 L(x,R(y,z,u),x) = L(x,y,x). [para(4(a,1),8805(a,2,2))]. given #8312 (H,wt=17): 8808 L(x,y \ R(y,z,u),x) = L(x,a(y,z,u),x). [hyper(58,a,8416,a(flip),b,8807,a),flip(a)]. given #8313 (H,wt=20): 8798 a(x,y,x) * (R(y,z,u) * x) = T(x * R(y,z,u),x). [para(8796(a,1),6654(a,1,1))]. given #8314 (H,wt=18): 8810 R(x,y,z) * R(u,x,u) = T(u * R(x,y,z),u). [hyper(6672,a,8798,a)]. given #8315 (H,wt=23): 8811 K(x,x * y) * T(x * R(y,z,u),x) = R(y,z,u) * T(x,y). [para(8810(a,1),6935(a,1,2))]. given #8316 (H,wt=21): 8812 T(T(x,x * y) * R(y,z,u),x) = R(y,z,u) * T(x,y). [hyper(4714,a,8811,a)]. given #8317 (H,wt=19): 8813 T(x * R(y,z,u),x * y) = R(y,z,u) * T(x,y). [hyper(58,a,7119,a(flip),b,8812,a)]. given #8318 (H,wt=24): 8761 R(x,y,z / L(u / w,u,u)) = R(x,y,z * ((1 / w) \ (1 / u))). [para(5114(a,1),8753(a,1,3,2)),flip(a)]. given #8319 (H,wt=25): 8264 (a(x,y,z) * (x * u)) / T(x * a(x,y,z),u) = L(u,x,a(x,y,z)). [para(1189(a,1),8262(a,2,2,1)),flip(a)]. given #8320 (H,wt=25): 8292 (x \ ((T(x,y) \ 1) * (z * x))) / x = (1 * (x \ (T(x,y) \ 1))) * z. [para(8291(a,1),749(a,2,1))]. given #8321 (H,wt=23): 8817 (x \ (T(x,y) * (z / x))) / x = (1 * (x \ (T(x,y) \ 1))) * z. [para(4999(a,1),8292(a,1,1,2))]. given #8322 (H,wt=21): 8818 (K(x,y) * (z / x)) / x = (1 * (x \ (T(x,y) \ 1))) * z. [para(2748(a,1),8817(a,1,1))]. given #8323 (H,wt=21): 8819 K(x,y) * ((z / x) / x) = (1 * (x \ (T(x,y) \ 1))) * z. [hyper(58,a,5744,a(flip),b,8818,a)]. given #8324 (H,wt=21): 8820 K(x,y) * ((x * x) \ z) = (1 * (x \ (T(x,y) \ 1))) * z. [para(3249(a,1),8819(a,1,2))]. given #8325 (H,wt=19): 8821 K(x,y) * ((x * x) \ z) = (x \ (T(x,y) \ 1)) * z. [para(2(a,1),8820(a,2,1))]. given #8326 (H,wt=25): 8507 T(x,y \ ((z * T(u,u \ 1)) \ w)) = T(x,y \ ((u \ (1 / z)) * w)). [para(5160(a,1),8467(a,1,2,2,1)),flip(a)]. given #8327 (H,wt=25): 8511 T(x,(y * ((z \ 1) * (u \ 1))) * w) = T(x,(y / ((1 / u) \ z)) * w). [para(4020(a,1),8473(a,1,2,1,2)),flip(a)]. given #8328 (H,wt=23): 8822 T(x,(y / ((1 / z) \ u)) * w) = T(x,(y * ((u \ 1) / z)) * w). [hyper(58,a,8675,a(flip),b,8511,a),flip(a)]. given #8329 (H,wt=23): 8823 T(x,(y * ((z \ 1) / (u \ 1))) * w) = T(x,(y / (u \ z)) * w). [para(72(a,1),8822(a,1,2,1,2,1)),flip(a)]. given #8330 (H,wt=23): 8824 T(x,(y * (((1 / z) * u) \ 1)) * w) = T(x,(y / (z \ u)) * w). [para(4133(a,1),8823(a,1,2,1,2))]. given #8331 (H,wt=25): 8512 T(x,(y / (T(z,u) / u)) * w) = T(x,(y * (((1 / u) * z) \ 1)) * w). [para(384(a,1),8475(a,1,2,1,2)),flip(a)]. given #8332 (H,wt=21): 8825 T(x,(y / (T(z,u) / u)) * w) = T(x,(y / (u \ z)) * w). [hyper(272,a,8824,a(flip),b,8512,a),flip(a)]. given #8333 (H,wt=25): 8526 T(x,y) \ T(T(x,z * (u / w)),y) = K(x,T(z * (u * (w \ 1)),y)). [para(8483(a,1),5262(a,1,2,1))]. given #8334 (H,wt=24): 8826 K(x,T(y * (z * (u \ 1)),w)) != v5 | K(x,T(y * (z / u),w)) = v5. [para(8526(a,1),5355(a,1))]. given #8335 (H,wt=24): 8827 K(x,y \ (y \ ((y * z) * u))) != w | K(x,T(z * (u / y),y)) = w. [para(7104(a,1),8826(a,1))]. given #8336 (H,wt=25): 8541 T(x,y * (((z \ 1) * (1 / u)) * w)) = T(x,y * (((u \ 1) \ z) \ w)). [para(4125(a,1),8518(a,1,2,2,1)),flip(a)]. given #8337 (H,wt=23): 8828 T(x,y * (((z \ 1) * (1 / u)) * w)) = T(x,y * ((u * z) \ w)). [hyper(272,a,8579,a(flip),b,8541,a),flip(a)]. given #8338 (H,wt=25): 8596 T(T(x,y),(((y \ z) * u) * y) * y) = K(y,x) * T(x,z * (u * y)). [para(8556(a,1),6123(a,1,2)),flip(a)]. given #8339 (H,wt=25): 8604 K(x,(y * z) \ u) * ((z \ (y \ 1)) * u) = T((z \ (y \ 1)) * u,x). [para(8602(a,1),2692(a,2,1)),flip(a)]. given #8340 (H,wt=25): 8644 (x * (y * (1 / z))) / (1 / L(z,u,u)) = z \ ((L(z,u,u) * x) * y). [hyper(58,a,7496,a,b,8436,a)]. given #8341 (H,wt=25): 8645 L(x,y,y) \ (z * (z * (x * u))) = x \ ((L(x,y,y) * u) * (z * z)). [para(2956(a,1),8436(a,1,2))]. given #8342 (H,wt=25): 8661 T(x,y * ((T(z,u \ 1) / u) * w)) = T(x,y * (((u \ 1) * z) * w)). [para(2778(a,1),8576(a,1,2,2,1)),flip(a)]. given #8343 (H,wt=25): 8686 T(x,y * (z * (u * (w * (v5 \ 1))))) = T(x,y * (z * (u * (w / v5)))). [para(3112(a,1),8496(a,1,2,2,2,2)),flip(a)]. given #8344 (H,wt=23): 8833 T(x,y * (z * (u \ (w * w)))) = T(x,y * (z * (w * (w / u)))). [para(3290(a,1),8686(a,1,2,2,2))]. given #8345 (H,wt=25): 8692 T(x,y * (z * ((u * (w \ 1)) * v5))) = T(x,y * (z * ((u / w) * v5))). [para(3112(a,1),8635(a,1,2,2,2,1)),flip(a)]. given #8346 (H,wt=25): 8701 T(x,y * ((z * (z * (u / y))) * y)) = T(x,((1 / y) \ (z * z)) * u). [para(108(a,1),8578(a,1,2)),flip(a)]. given #8347 (H,wt=23): 8834 T(x,y * ((z * (z * (u / y))) * y)) = T(x,(y * (z * z)) * u). [hyper(272,a,8589,a(flip),b,8701,a),flip(a)]. given #8348 (H,wt=21): 8835 T(x,T(y,z) * ((z * u) * u)) = T(x,(z * (u * u)) * y). [para(5193(a,1),8834(a,1,2))]. given #8349 (H,wt=21): 8836 T(x,T(y,z) * (u * (u * z))) = T(x,(z * (u * u)) * y). [hyper(58,a,8521,a(flip),b,8835,a)]. given #8350 (H,wt=21): 8837 T(x,T(y,z) * (z * (u * u))) = T(x,(z * (u * u)) * y). [para(2956(a,2),8836(a,1,2,2))]. given #8351 (H,wt=25): 8741 T(x,y * (z * (u / (w / (1 / v5))))) = T(x,y * (z * (u / (w * v5)))). [para(2020(a,1),8739(a,1,2,2,2,2)),flip(a)]. given #8352 (H,wt=23): 8838 T(x,y * (z / (u / (1 / w)))) = T(x,y * (z * (1 / (u * w)))). [hyper(58,a,8550,a(flip),b,8741,a)]. given #8353 (H,wt=21): 8839 T(x,y * (z / (u / (1 / w)))) = T(x,y * (z / (u * w))). [hyper(272,a,8550,a(flip),b,8838,a),flip(a)]. given #8354 (H,wt=23): 8840 T(x,y * (z / ((u * w) * u))) = T(x,y * (z / (u * (w * u)))). [para(3589(a,1),8839(a,1,2,2,2)),flip(a)]. given #8355 (H,wt=25): 8742 T(x,y * (z * (u / (w * (v5 \ 1))))) = T(x,y * (z * (u / (w / v5)))). [para(3112(a,1),8739(a,1,2,2,2,2)),flip(a)]. given #8356 (H,wt=25): 8829 T(T(x,y),y * (y * ((y \ z) * u))) = K(y,x) * T(x,z * (u * y)). [hyper(6102,a,8596,a)]. given #8357 (H,wt=25): 8831 T(x,y * ((T(z,u) * (1 / u)) * w)) = T(x,y * (((u \ 1) * z) * w)). [para(2926(a,1),8661(a,1,2,2,1))]. given #8358 (H,wt=23): 8841 T(x,y * ((T(z,u) / u) * w)) = T(x,y * (((u \ 1) * z) * w)). [hyper(58,a,8690,a(flip),b,8831,a)]. given #8359 (H,wt=21): 8842 T(x,y * (((z \ 1) * u) * w)) = T(x,y * ((z \ u) * w)). [hyper(58,a,8577,a(flip),b,8841,a),flip(a)]. given #8360 (H,wt=21): 8843 T(x,y * ((z \ (1 / u)) * w)) = T(x,y * ((u * z) \ w)). [hyper(58,a,8828,a(flip),b,8842,a),flip(a)]. given #8361 (H,wt=23): 8844 T(x,y * (((z \ 1) * u) / w)) = T(x,y * ((z \ u) * (w \ 1))). [hyper(58,a,8483,a(flip),b,8842,a)]. given #8362 (H,wt=21): 8848 T(x,y * (((z \ 1) * u) / w)) = T(x,y * ((z \ u) / w)). [hyper(272,a,8483,a(flip),b,8844,a),flip(a)]. given #8363 (H,wt=23): 8845 K(x,y * (((z \ 1) * u) * w)) = x \ T(x,y * ((z \ u) * w)). [hyper(112,a,8842,a(flip),b,2674,a(flip)),flip(a)]. given #8364 (H,wt=21): 8854 K(x,y * (((z \ 1) * u) * w)) = K(x,y * ((z \ u) * w)). [hyper(272,a,2672,a,b,8845,a),flip(a)]. given #8365 (H,wt=19): 8855 K(x \ 1,x * ((x \ y) * z)) = K(x,y * (z * x)). [hyper(58,a,6898,a(flip),b,8854,a),flip(a)]. given #8366 (H,wt=15): 8856 K(x,x \ (x \ y)) = K(x,y * (x * x)). [hyper(4567,a,8855,a)]. given #8367 (H,wt=15): 8857 K(x,x \ (x \ y)) = K(x,x * (x * y)). [para(2956(a,1),8856(a,2,2))]. given #8368 (H,wt=19): 8858 T(x,((x * x) / y) \ 1) = x * K(x,x * (x * y)). [para(8857(a,1),5159(a,2,2))]. given #8369 (H,wt=17): 8859 T(x,((x * x) / y) \ 1) = T(x,x * (x * y)). [hyper(272,a,2674,a,b,8858,a),flip(a)]. given #8370 (H,wt=15): 8860 T(x,x \ (x \ y)) = T(x,x * (x * y)). [para(3455(a,1),8859(a,1,2))]. given #8371 (H,wt=23): 8849 T(x,y * (((z \ 1) / u) / w)) = T(x,y * ((z \ (u \ 1)) / w)). [hyper(58,a,8718,a(flip),b,8848,a)]. given #8372 (H,wt=23): 8850 T(x,y * (((z \ 1) * (u * z)) / w)) = T(x,y * (T(u,z) / w)). [para(17(a,2),8848(a,2,2,2,1))]. given #8373 (H,wt=21): 8861 T(x,y * ((z * (u / z)) / w)) = T(x,y * (T(u,z) / w)). [para(3541(a,1),8850(a,1,2,2,1))]. given #8374 (H,wt=25): 8846 T(x,y * (((z \ K(z,u)) * w) * v5)) = T(x,y * ((T(z,u) \ w) * v5)). [para(2656(a,1),8842(a,1,2,2,1,1))]. given #8375 (H,wt=26): 8265 (x * (y * K(z,u))) / T(x * K(z,T(u,y)),y) = L(y,K(z,T(u,y)),x). [para(5252(a,1),8262(a,2,1,2)),flip(a)]. given #8376 (H,wt=24): 8862 (x * (y * K(z,u))) / T(x * K(z,T(u,y)),y) = L(y,K(z,u),x). [hyper(272,a,8087,a(flip),b,8265,a),flip(a)]. given #8377 (H,wt=26): 8315 T(L(x,y,z) \ x,L(x,y,z) * (x \ u)) = 1 / T(x \ L(x,y,z),u). [para(8307(a,1),3489(a,1,2))]. given #8378 (H,wt=26): 8317 T(L(x,y,z) * u,a(x \ 1,z,y)) = (x * u) / (a(x \ 1,z,y) \ 1). [hyper(113,a,8309,a(flip),b,676,a),flip(a)]. given #8379 (H,wt=26): 8387 (L(x,y,y) * (z / y)) * L(y,u,u) = a(u,u,y) * (y \ ((y * x) * z)). [para(3121(a,1),8385(a,1,2)),flip(a)]. given #8380 (H,wt=24): 8863 (L(x,y,y) * (z / y)) * L(y,u,u) = L(y,u,u) \ ((y * x) * z). [hyper(272,a,6140,a(flip),b,8387,a),flip(a)]. given #8381 (H,wt=26): 8506 T(x,y \ (z \ (((1 / z) \ y) * u))) = T(x,L(u,(1 / z) \ y,1 / z)). [para(88(a,1),8467(a,1,2)),flip(a)]. given #8382 (H,wt=26): 8637 T(x,y * (z * (u * (w * L(v5,v6,v6))))) = T(x,y * (z * (u * (w * v5)))). [para(8390(a,1),8495(a,1,2,2,2))]. given #8383 (H,wt=25): 8867 T(x,y * (z * (u * ((1 / w) \ v5)))) = T(x,y * (z * (u * (w * v5)))). [para(2000(a,1),8637(a,1,2,2,2,2))]. given #8384 (H,wt=25): 8868 T(x,y * (z * (u * ((w \ 1) * v5)))) = T(x,y * (z * (u * (w \ v5)))). [para(2030(a,1),8637(a,1,2,2,2,2)),flip(a)]. given #8385 (H,wt=26): 8638 T(x,y * (z * ((L(u,w,w) * v5) * v6))) = T(x,y * (z * ((u * v5) * v6))). [para(8420(a,1),8495(a,1,2,2,2))]. given #8386 (H,wt=25): 8871 T(x,y * (z * ((u * (1 / w)) * v5))) = T(x,y * (z * ((u / w) * v5))). [para(2972(a,1),8638(a,1,2,2,2,1)),flip(a)]. given #8387 (H,wt=26): 8790 (x * L(y,z,u)) \ (L(y,z,u) * T(x,y)) = K(x * L(y,z,u),x * y). [hyper(112,a,8789,a(flip),b,2674,a(flip))]. given #8388 (H,wt=21): 8872 K(x * L(y,z,u),x * y) = K(x,y) * K(L(y,z,u),x). [hyper(6599,a,8790,a),flip(a)]. given #8389 (H,wt=17): 8873 K(x * L(y,z,u),x * y) = a(u,z,K(x,y)). [hyper(272,a,8247,a(flip),b,8872,a),flip(a)]. given #8390 (H,wt=22): 8874 K(x,(x / L(y,z,u)) * y) = a(u,z,K(x / L(y,z,u),y)). [para(7(a,1),8873(a,1,1))]. given #8391 (H,wt=22): 8875 K(x,y * (L(y,z,u) \ x)) = a(u,z,K(x / L(y,z,u),y)). [hyper(58,a,7935,a(flip),b,8874,a)]. given #8392 (H,wt=19): 8876 K(x,y * (L(y,z,u) \ x)) = a(u,z,K(y \ x,y)). [para(8194(a,1),8875(a,2,3))]. given #8393 (H,wt=26): 8794 a(x,y,x) * R(z,u,w) != v5 * v6 | v5 \ R(a(x,y,x) * z,u,w) = v6. [para(8793(a,1),341(a,1,2))]. given #8394 (H,wt=26): 8814 (x * R(y,z,u)) / (R(y,z,u) * T(x,y)) = K(x * y,x * R(y,z,u)). [para(8813(a,1),2670(a,2,2)),flip(a)]. given #8395 (H,wt=26): 8830 x \ ((L(x,y,y) * (z * y)) * (y \ 1)) = R(z,y,y \ (1 / L(x,y,y))). [hyper(58,a,4270,a(flip),b,8644,a),flip(a)]. given #8396 (H,wt=26): 8865 T(x,y \ (z \ (((1 / z) \ y) * u))) = T(x,L(u,(1 / z) \ y,z \ 1)). [para(2449(a,1),8506(a,2,2))]. given #8397 (H,wt=26): 8878 x \ (y * (((y \ 1) * L(x,y,y)) * z)) = R(z,y,y \ (1 / L(x,y,y))). [para(7054(a,1),8830(a,1,2))]. given #8398 (H,wt=21): 8880 R(x,y,y \ (1 / L(z,y,y))) = z \ (y * ((y \ z) * x)). [para(2030(a,1),8878(a,1,2,2,1)),flip(a)]. given #8399 (H,wt=18): 8881 R(x,y,y \ (1 / L(z,y,y))) = L(x,y \ z,y). [hyper(272,a,88,a(flip),b,8880,a),flip(a)]. given #8400 (H,wt=17): 8882 R(x,y,(y \ 1) * (1 / z)) = L(x,y \ z,y). [para(3793(a,1),8881(a,1,3))]. given #8401 (H,wt=15): 8883 R(x,y,(y \ 1) / z) = L(x,y \ z,y). [hyper(58,a,8765,a(flip),b,8882,a)]. given #8402 (H,wt=15): 8884 R(x,y,y \ (z \ 1)) = L(x,y \ z,y). [hyper(58,a,8770,a(flip),b,8883,a)]. given #8403 (H,wt=15): 8885 L(x,y \ (1 / z),y) = R(x,y,y \ z). [para(74(a,1),8884(a,1,3,2)),flip(a)]. given #8404 (H,wt=15): 8888 L(x,y \ (z \ 1),y) = R(x,y,y \ z). [hyper(58,a,2466,a(flip),b,8885,a)]. given #8405 (H,wt=21): 8886 R(x,y,y \ ((z / y) \ 1)) = L(x,(y \ z) * (y \ 1),y). [para(684(a,2),8884(a,2,2))]. given #8406 (H,wt=21): 8890 R(x,y,y * ((z * y) \ 1)) = L(x,(y \ z) * (y \ 1),y). [para(3461(a,1),8886(a,1,3))]. given #8407 (H,wt=19): 8891 L(x,(y \ z) * (y \ 1),y) = R(x,y,y / (z * y)). [hyper(58,a,8753,a(flip),b,8890,a),flip(a)]. given #8408 (H,wt=26): 8879 T(x,y \ (z \ (((1 / z) \ y) * u))) = T(x,L(u,(z \ 1) \ y,z \ 1)). [para(2463(a,1),8865(a,2,2))]. given #8409 (H,wt=27): 8601 (x \ (y \ 1)) * K(z,(x \ (y \ 1)) \ 1) = T(x \ (y \ 1),(y * x) \ z). [hyper(58,a,3398,a,b,8599,a)]. given #8410 (H,wt=25): 8892 (x \ (y \ 1)) * K(z,(y \ 1) \ x) = T(x \ (y \ 1),(y * x) \ z). [hyper(58,a,4433,a(flip),b,8601,a)]. given #8411 (H,wt=23): 8893 T(x \ (y \ 1),(y * x) \ z) = (x \ (y \ 1)) * K(z,y * x). [para(5968(a,1),8892(a,1,2)),flip(a)]. given #8412 (H,wt=27): 8618 T(x,(y \ z) \ (u * K(z \ y,w))) = T(x,((z \ y) * u) * K(z \ y,w)). [para(4303(a,2),8614(a,2,2))]. given #8413 (H,wt=27): 8622 T(x,(y / z) \ (u * K(z / y,w))) = T(x,((z / y) * u) * K(z / y,w)). [para(4303(a,2),8620(a,2,2))]. given #8414 (H,wt=27): 8634 T(x \ 1,y) * (z * (T(1 / x,y) \ 1)) = z * K(T(x,y),z / T(x,y)). [para(8633(a,1),7589(a,2,2))]. given #8415 (H,wt=25): 8896 T(x \ 1,y) * (z * (T(1 / x,y) \ 1)) = T(x,y) * (z / T(x,y)). [hyper(272,a,260,a(flip),b,8634,a),flip(a)]. given #8416 (H,wt=27): 8663 T(x,y * ((T(z,u) / T(u,w)) * v5)) = T(x,y * (((u \ z) * K(u,w)) * v5)). [para(5192(a,1),8576(a,1,2,2,1)),flip(a)]. given #8417 (H,wt=27): 8687 T(x,y * (z * (u * ((w \ 1) \ (v5 \ 1))))) = T(x,y * (z * (u * (w / v5)))). [para(6992(a,1),8496(a,1,2,2,2,2))]. given #8418 (H,wt=27): 8693 T(x,y * (z * (((u * u) * w) * v5))) = T(x,y * (z * ((u * (u * w)) * v5))). [para(3559(a,1),8635(a,1,2,2,2,1)),flip(a)]. given #8419 (H,wt=27): 8720 K(x,y * (K(z \ u,z) * ((T(z,u) \ u) \ w))) = K(x,y * ((z \ u) \ w)). [para(5791(a,1),8719(a,2,2,2))]. given #8420 (H,wt=23): 8898 K(x,y * ((K(z,u) * (z / u)) \ w)) = K(x,y * ((u \ z) \ w)). [para(7979(a,1),8720(a,1,2,2))]. given #8421 (H,wt=21): 8899 K(x,y * ((T(z,u) / u) \ w)) = K(x,y * ((u \ z) \ w)). [para(5591(a,1),8898(a,1,2,2,1))]. given #8422 (H,wt=17): 8900 K(x,y * ((z \ u) \ u)) = K(x,y * T(z,u)). [para(2255(a,1),8899(a,1,2,2)),flip(a)]. given #8423 (H,wt=17): 8901 K(x,y * T(z / u,z)) = K(x,y * (u \ z)). [para(74(a,1),8900(a,1,2,2,1)),flip(a)]. given #8424 (H,wt=27): 8740 T(x,y * (z * (u * ((w \ 1) * (1 / v5))))) = T(x,y * (z * (u / (v5 * w)))). [para(4186(a,1),8731(a,1,2,2,2,2))]. given #8425 (H,wt=25): 8902 T(x,y * (z * (u * (w \ (1 / v5))))) = T(x,y * (z * (u / (v5 * w)))). [hyper(58,a,8868,a(flip),b,8740,a)]. given #8426 (H,wt=25): 8903 T(x,y * (z * (u / ((w \ 1) * v5)))) = T(x,y * (z * (u * (v5 \ w)))). [para(72(a,1),8902(a,1,2,2,2,2,2)),flip(a)]. given #8427 (H,wt=27): 8832 T(x,y * (z * (u * ((w \ v5) / w)))) = T(x,y * (z * (u * (w \ (v5 / w))))). [para(684(a,1),8686(a,1,2,2,2,2)),flip(a)]. given #8428 (H,wt=27): 8847 T(x,y * (((K(z,u) * w) \ v5) * v6)) = T(x,y * (((w \ K(z,u)) * v5) * v6)). [para(5610(a,1),8842(a,1,2,2,1,1)),flip(a)]. given #8429 (H,wt=27): 8853 T(x,y * ((((z * u) \ 1) / u) / w)) = T(x,y * ((u \ (z \ (u \ 1))) / w)). [para(5111(a,1),8848(a,1,2,2,1))]. given #8430 (H,wt=27): 8866 T(x,y * (z * (u * (w * (1 / v5))))) = T(x,y * (z * (u * (w * (v5 \ 1))))). [para(1997(a,1),8637(a,1,2,2,2,2,2)),flip(a)]. given #8431 (H,wt=25): 8904 T(x,y * (z * (u * (w * (1 / v5))))) = T(x,y * (z * (u * (w / v5)))). [hyper(272,a,8686,a(flip),b,8866,a),flip(a)]. given #8432 (H,wt=25): 8906 T(x,y * (z * (u * ((w \ 1) / v5)))) = T(x,y * (z * (u / (v5 * w)))). [hyper(58,a,8740,a(flip),b,8904,a),flip(a)]. given #8433 (H,wt=27): 8869 T(x,y * (z * (u * ((w \ 1) / v5)))) = T(x,y * (z * (u * (w \ (v5 \ 1))))). [hyper(58,a,8686,a(flip),b,8868,a)]. given #8434 (H,wt=25): 8909 T(x,y * (z * (u * (w \ (v5 \ 1))))) = T(x,y * (z * (u / (v5 * w)))). [hyper(58,a,8906,a(flip),b,8869,a),flip(a)]. given #8435 (H,wt=25): 8910 T(x,y * (z * (u / (w * (v5 \ 1))))) = T(x,y * (z * (u * (v5 / w)))). [hyper(58,a,8687,a(flip),b,8909,a),flip(a)]. given #8436 (H,wt=23): 8911 T(x,y * (z * (u / (w / v5)))) = T(x,y * (z * (u * (v5 / w)))). [hyper(58,a,8742,a(flip),b,8910,a)]. given #8437 (H,wt=25): 8912 T(x,y * (z * (u * ((1 / w) / v5)))) = T(x,y * (z * (u / (v5 * w)))). [para(74(a,1),8910(a,1,2,2,2,2,2)),flip(a)]. given #8438 (H,wt=27): 8894 T(x,(y \ z) \ (u * K(w,z \ y))) = T(x,((z \ y) * u) * K(z \ y,w)). [para(28(a,1),8618(a,1,2,2,2))]. given #8439 (H,wt=27): 8895 T(x,(y / z) \ (u * K(w,z / y))) = T(x,((z / y) * u) * K(z / y,w)). [para(28(a,1),8622(a,1,2,2,2))]. given #8440 (H,wt=27): 8907 K(x,y * (z * (u * (w * (1 / v5))))) = x \ T(x,y * (z * (u * (w / v5)))). [hyper(112,a,8904,a(flip),b,2674,a(flip)),flip(a)]. given #8441 (H,wt=25): 8914 K(x,y * (z * (u * (w * (1 / v5))))) = K(x,y * (z * (u * (w / v5)))). [hyper(272,a,2672,a,b,8907,a),flip(a)]. given #8442 (H,wt=25): 8915 K(x,y / (z * (1 / ((z * u) * w)))) = K(x,y * (z * (u * (w / z)))). [hyper(58,a,6476,a,b,8914,a)]. given #8443 (H,wt=27): 8913 T(x,y * (z * ((u \ w) * (u \ w)))) = T(x,y * (z * (w * ((u \ w) / u)))). [para(3272(a,1),8911(a,1,2,2,2))]. given #8444 (H,wt=27): 8916 T(x,y * (z * ((u \ w) * (u \ w)))) = T(x,y * (z * (w * (u \ (w / u))))). [hyper(272,a,8832,a(flip),b,8913,a),flip(a)]. given #8445 (H,wt=28): 8384 a(x,x,y) * (T(z,(u * a(x,x,y)) \ 1) * u) = (1 / (u * a(x,x,y))) \ z. [hyper(272,a,1972,a(flip),b,8372,a),flip(a)]. given #8446 (H,wt=28): 8762 R(x,y,T(L(z,z,T(z \ 1,u)) \ 1,u) \ w) = R(x,y,T(z \ 1,u) \ w). [para(5082(a,1),8746(a,1,3,1))]. given #8447 (H,wt=28): 8816 x / T(y * a(y,z,u),w) != L(w,y,a(y,z,u)) | a(y,z,u) * (y * w) = x. [para(8264(a,1),41(a,1)),flip(a)]. given #8448 (H,wt=28): 8864 (L(x,y,y) * ((z * z) / y)) * L(y,u,u) = L(y,u,u) \ (z * (z * (y * x))). [para(2956(a,1),8863(a,2,2))]. given #8449 (H,wt=29): 8382 (x * (a(y,z,z) * u)) \ ((a(y,z,z) * x) * (u * w)) = L(w,u,a(y,z,z) * x). [para(8371(a,1),13(a,2,1)),flip(a)]. given #8450 (H,wt=29): 8398 (a(x,y,x) * (z * u)) \ ((a(x,y,x) * z) * (u * w)) = L(w,u,a(x,y,x) * z). [para(8391(a,1),13(a,2,1)),flip(a)]. given #8451 (H,wt=19): 8918 L(x,y,a(z,u,z) * w) = (w * y) \ (w * (y * x)). [hyper(58,a,8421,a(flip),b,8398,a),flip(a)]. given #8452 (H,wt=14): 8920 L(x,y,a(z,u,z) * w) = L(x,y,w). [hyper(272,a,13,a,b,8918,a),flip(a)]. given #8453 (H,wt=14): 8921 L(x,y,a(z,u,z) \ w) = L(x,y,w). [para(5(a,1),8920(a,1,3)),flip(a)]. given #8454 (H,wt=12): 8925 L(x,y,L(z,u,z)) = L(x,y,z). [para(6614(a,1),8921(a,1,3))]. given #8455 (H,wt=14): 8923 L(x,y,a(z,z,u) * w) = L(x,y,w). [para(6792(a,1),8920(a,1,3,1))]. given #8456 (H,wt=12): 8929 L(x,y,L(z,u,u)) = L(x,y,z). [para(4219(a,1),8923(a,1,3))]. given #8457 (H,wt=14): 8924 L(x,y,a(z,u,u) * w) = L(x,y,w). [para(6793(a,2),8920(a,1,3,1))]. given #8458 (H,wt=14): 8931 L(x,y,z * a(u,w,w)) = L(x,y,z). [para(5629(a,1),8923(a,1,3))]. given #8459 (H,wt=15): 8922 L(x,y,K(z,z * u)) = L(x,y,K(z,u)). [para(6619(a,1),8920(a,1,3)),flip(a)]. given #8460 (H,wt=15): 8927 L(x,y,T(z / u,z)) = L(x,y,u \ z). [para(2340(a,1),8925(a,1,3))]. given #8461 (H,wt=15): 8928 L(x,y,T(z,z * u)) = L(x,y,T(z,u)). [para(5394(a,1),8925(a,1,3))]. given #8462 (H,wt=11): 8947 L(x,y,T(z,y)) = L(x,y,z). [hyper(7025,a,8928,a),flip(a)]. given #8463 (H,wt=13): 8953 L(x,y,z / y) = L(x,y,y \ z). [para(100(a,1),8947(a,1,3)),flip(a)]. given #8464 (H,wt=14): 8950 L(x,y,T(z,y)) != u | L(x,y,z) = u. [para(8928(a,1),7025(a,1))]. given #8465 (H,wt=15): 8939 L(x,y,(1 / z) * u) = L(x,y,z \ u). [para(1996(a,1),8929(a,1,3)),flip(a)]. given #8466 (H,wt=15): 8940 L(x,y,(z \ 1) \ u) = L(x,y,z * u). [para(2002(a,1),8929(a,1,3))]. given #8467 (H,wt=15): 8941 L(x,y,z * (u \ 1)) = L(x,y,z / u). [para(3112(a,1),8929(a,1,3)),flip(a)]. given #8468 (H,wt=15): 8944 L(x,y,K(z,u \ 1)) = L(x,y,K(u,z)). [para(3397(a,2),8922(a,1,3))]. given #8469 (H,wt=15): 8946 L(x,y,(z \ u) \ u) = L(x,y,T(z,u)). [para(72(a,1),8927(a,1,3,1)),flip(a)]. given #8470 (H,wt=15): 8963 L(x,y,T(z,u) \ u) = L(x,y,u / z). [para(2793(a,1),8939(a,1,3)),flip(a)]. given #8471 (H,wt=15): 8971 L(x,y,K(z,u \ 1)) = L(x,y,K(z,u)). [para(28(a,1),8944(a,2,3))]. given #8472 (H,wt=15): 8973 L(x,y,T(z \ u,u)) = L(x,y,u / z). [para(2826(a,1),8946(a,1,3)),flip(a)]. given #8473 (H,wt=16): 8926 L(x,y,z / R(u,w,u)) = L(x,y,z / u). [para(8425(a,1),8921(a,1,3))]. given #8474 (H,wt=16): 8930 L(x,y,L(z,u,u) * w) = L(x,y,z * w). [para(4784(a,1),8923(a,1,3))]. given #8475 (H,wt=15): 8979 L(x,y,z * (1 / u)) = L(x,y,z / u). [para(2972(a,1),8930(a,1,3)),flip(a)]. given #8476 (H,wt=15): 8980 L(x,y,z / (u \ 1)) = L(x,y,z * u). [para(72(a,1),8979(a,1,3,2)),flip(a)]. given #8477 (H,wt=15): 8982 L(x,y,(z \ u) * z) = L(x,y,T(u,z)). [para(678(a,2),8980(a,1,3)),flip(a)]. given #8478 (H,wt=15): 8984 L(x,y,z * (u / z)) = L(x,y,T(u,z)). [para(2828(a,1),8982(a,1,3))]. given #8479 (H,wt=15): 8987 L(x,y,T(z * u,u)) = L(x,y,u * z). [para(6(a,1),8984(a,1,3,2)),flip(a)]. given #8480 (H,wt=15): 8988 L(x,y,(1 / z) \ u) = L(x,y,z * u). [para(2773(a,1),8987(a,1,3))]. given #8481 (H,wt=15): 8989 L(x,y,(z \ 1) * u) = L(x,y,z \ u). [para(72(a,1),8988(a,1,3,1)),flip(a)]. given #8482 (H,wt=16): 8933 L(x,y,L(z,u,u) \ w) = L(x,y,z \ w). [para(6140(a,1),8923(a,1,3))]. given #8483 (H,wt=16): 8934 L(x,y,z * L(u,w,w)) = L(x,y,z * u). [para(8385(a,1),8923(a,1,3))]. given #8484 (H,wt=16): 8935 L(x,y,z * L(u,w,u)) = L(x,y,z * u). [para(8386(a,1),8923(a,1,3))]. given #8485 (H,wt=15): 9000 L(x,y,T(z * z,u)) = L(x,y,z * z). [para(4251(a,1),8935(a,1,3))]. given #8486 (H,wt=16): 8952 (x * y) \ (T(y,x) * z) = L(x \ z,x,y). [hyper(58,a,2849,a(flip),b,8947,a)]. given #8487 (H,wt=16): 8956 (x * y) * L(z,x,y) = T(y,x) * (x * z). [para(8947(a,1),2848(a,1,2))]. given #8488 (H,wt=16): 8957 L(x \ y,x,x \ z) = z \ ((z / x) * y). [hyper(58,a,438,a(flip),b,8953,a),flip(a)]. given #8489 (H,wt=16): 8958 x * L(y,z,z \ x) = (x / z) * (z * y). [hyper(114,a,8953,a(flip),b,90,a)]. given #8490 (H,wt=16): 8961 L(x,y,z / y) != u | L(x,y,y \ z) = u. [para(2775(a,1),8950(a,1,3))]. given #8491 (H,wt=16): 9002 L(x,y,z) = (y * z) \ (T(z,y) * (y * x)). [para(4(a,1),8952(a,2,1)),flip(a)]. given #8492 (H,wt=16): 9003 (x * y) * L(z,x,y) = y * (T(x,y) * z). [hyper(272,a,3187,a(flip),b,8956,a),flip(a)]. given #8493 (H,wt=11): 9007 L(x,T(y,z),z) = L(x,y,z). [hyper(730,a,9003,a)]. given #8494 (H,wt=13): 9009 L(x,y / z,z) = L(x,z \ y,z). [para(100(a,1),9007(a,1,2)),flip(a)]. given #8495 (H,wt=17): 8932 L(x,y,(z * z) * u) = L(x,y,z * (z * u)). [para(5627(a,1),8923(a,1,3))]. given #8496 (H,wt=17): 8938 L(x,y,(z * z) \ u) = L(x,y,z \ (z \ u)). [para(254(a,1),8929(a,1,3))]. given #8497 (H,wt=17): 8942 L(x,y,(z \ u) * u) = L(x,y,u * (u / z)). [para(3490(a,1),8929(a,1,3)),flip(a)]. given #8498 (H,wt=17): 8943 L(x,y,(z * u) * u) = L(x,y,z * (u * u)). [para(79(a,1),8931(a,1,3))]. given #8499 (H,wt=17): 8960 (x * T(y,x * y)) / x != z | L(y,x,y) = z. [para(2341(a,2),8950(a,1))]. given #8500 (H,wt=17): 8962 L(x,y,(z \ u) / z) = L(x,y,z \ (u / z)). [para(376(a,1),8939(a,1,3))]. given #8501 (H,wt=17): 8964 L(x,y,(z * u) * u) = L(x,y,u * (u * z)). [para(3503(a,1),8940(a,1,3))]. given #8502 (H,wt=17): 8972 L(x,y,T(z \ 1,u)) = L(x,y,T(z,u) \ 1). [hyper(58,a,3555,a(flip),b,8946,a),flip(a)]. given #8503 (H,wt=17): 8974 L(x,y,T(1 / z,u)) = L(x,y,T(z,u) \ 1). [para(3463(a,1),8946(a,1,3)),flip(a)]. given #8504 (H,wt=17): 8975 L(x,y,z / (z * u)) = L(x,y,z \ (u \ z)). [para(3241(a,1),8973(a,1,3)),flip(a)]. given #8505 (H,wt=17): 8985 L(x,y,z * ((u \ z) / z)) = L(x,y,z / u). [hyper(272,a,8973,a(flip),b,8984,a),flip(a)]. given #8506 (H,wt=17): 8992 L(x,y,(T(z,u) \ 1) * u) = L(x,y,u / z). [hyper(272,a,8963,a(flip),b,8989,a),flip(a)]. given #8507 (H,wt=17): 8993 L(x,y,(z \ 1) / u) = L(x,y,z \ (u \ 1)). [hyper(58,a,8941,a(flip),b,8989,a)]. given #8508 (H,wt=17): 9015 L(x,y,z \ T(u,z \ 1)) = L(x,y,u / z). [para(2588(a,2),8985(a,1,3))]. given #8509 (H,wt=18): 8936 L(x,y,z * (a(u,u,w) * v5)) = L(x,y,z * v5). [para(8383(a,1),8923(a,1,3))]. given #8510 (H,wt=18): 8959 L(x,y,(z * y) \ y) != u | L(x,y,z \ 1) = u. [para(2258(a,1),8950(a,1,3))]. given #8511 (H,wt=18): 9018 L(x,y,z * (a(u,w,w) * v5)) = L(x,y,z * v5). [para(4217(a,1),8936(a,1,3,2,1))]. given #8512 (H,wt=19): 8948 a(x,T(y,y * z),u) = x * L(x \ 1,u,T(y,z)). [hyper(114,a,8928,a(flip),b,1184,a(flip)),flip(a)]. given #8513 (H,wt=18): 9022 a(x,T(y,y * z),u) != w | a(x,T(y,z),u) = w. [para(8948(a,2),1204(a,1))]. given #8514 (H,wt=14): 9024 a(x,y,x) != z | a(x,T(y,u),x) = z. [para(8408(a,1),9022(a,1))]. given #8515 (H,wt=18): 9023 a(x,T(y,z * y),u) != w | a(x,T(y,z),u) = w. [para(2315(a,2),9022(a,1,2))]. given #8516 (H,wt=19): 8967 x * L(x \ 1,y,z / u) = a(x,z * (u \ 1),y). [hyper(114,a,8941,a(flip),b,1184,a(flip))]. given #8517 (H,wt=15): 9025 a(x,y * (z \ 1),u) = a(x,y / z,u). [hyper(1204,a,8967,a),flip(a)]. given #8518 (H,wt=16): 9026 a(x,y / (z \ y),u) = a(x,L(z,y,y),u). [hyper(58,a,4956,a(flip),b,9025,a),flip(a)]. given #8519 (H,wt=12): 9027 a(x,L(y,z,z),u) = a(x,y,u). [para(72(a,1),9026(a,1,2)),flip(a)]. given #8520 (H,wt=15): 9029 a(x,T(y,z \ 1),u) = a(x,T(y,z),u). [para(2792(a,1),9027(a,1,2))]. given #8521 (H,wt=11): 9030 a(x,T(y,x),z) = a(x,y,z). [hyper(7029,a,9029,a),flip(a)]. given #8522 (H,wt=19): 8968 L(x,y,z * (u \ (w \ u))) = L(x,y,z / T(w,u)). [para(2999(a,1),8941(a,1,3,2))]. given #8523 (H,wt=19): 8976 L(x,y,z / T(u,u * w)) = L(x,y,z / T(u,w)). [para(5404(a,1),8926(a,1,3,2)),flip(a)]. given #8524 (H,wt=19): 8977 L(x,y,((1 / z) * u) * w) = L(x,y,(z \ u) * w). [para(1996(a,1),8930(a,1,3,1)),flip(a)]. given #8525 (H,wt=19): 8978 L(x,y,((z \ 1) \ u) * w) = L(x,y,(z * u) * w). [para(2002(a,1),8930(a,1,3,1))]. given #8526 (H,wt=19): 8986 a(x,y * (z / y),u) = x * L(x \ 1,u,T(z,y)). [hyper(114,a,8984,a(flip),b,1184,a(flip)),flip(a)]. given #8527 (H,wt=15): 9034 a(x,y * (z / y),u) = a(x,T(z,y),u). [hyper(272,a,1178,a,b,8986,a),flip(a)]. given #8528 (H,wt=15): 9035 a(x,T(y * z,z),u) = a(x,z * y,u). [para(6(a,1),9034(a,1,2,2)),flip(a)]. given #8529 (H,wt=19): 8996 L(x,y,((z \ 1) \ u) \ w) = L(x,y,(z * u) \ w). [para(2002(a,1),8933(a,1,3,1))]. given #8530 (H,wt=19): 8998 L(x,y,z * ((1 / u) * w)) = L(x,y,z * (u \ w)). [para(1996(a,1),8934(a,1,3,2)),flip(a)]. given #8531 (H,wt=19): 8999 L(x,y,z * (u * (w \ 1))) = L(x,y,z * (u / w)). [para(3112(a,1),8934(a,1,3,2)),flip(a)]. given #8532 (H,wt=17): 9040 L(x,y,z \ (u * u)) = L(x,y,u * (u / z)). [para(3290(a,1),8999(a,1,3))]. given #8533 (H,wt=19): 9001 L(x,y,z * T(u,u * w)) = L(x,y,z * T(u,w)). [para(5394(a,1),8935(a,1,3,2))]. given #8534 (H,wt=19): 9006 (x * y) * L(z,x,y) != u | T(y,x) * (x * z) = u. [para(9002(a,2),230(a,1,2))]. given #8535 (H,wt=19): 9011 L(x,K(y,z) * (u / y),y) = L(x,T(y,z) \ u,y). [para(5482(a,1),9007(a,1,2))]. given #8536 (H,wt=19): 9031 a(x,(x \ y) * K(x,z),u) = a(x,y / T(x,z),u). [para(4300(a,1),9030(a,1,2))]. given #8537 (H,wt=19): 9033 L(x,y,((z \ 1) * u) * w) = L(x,y,(z \ u) * w). [hyper(58,a,2451,a(flip),b,8977,a)]. given #8538 (H,wt=19): 9037 L(x,y,z * (T(u,w) \ w)) = L(x,y,z * (w / u)). [para(2793(a,1),8998(a,1,3,2)),flip(a)]. given #8539 (H,wt=19): 9038 L(x,y,z * (u * (1 / w))) = L(x,y,z * (u / w)). [hyper(58,a,2454,a,b,8999,a)]. given #8540 (H,wt=19): 9042 L(x,y,z * T(u,u \ w)) = L(x,y,z * T(u,w)). [para(5(a,1),9001(a,1,3,2,2)),flip(a)]. given #8541 (H,wt=19): 9043 L(x,y,((1 / z) \ u) * w) = L(x,y,(z * u) * w). [para(74(a,1),9033(a,1,3,1,1)),flip(a)]. given #8542 (H,wt=19): 9046 L(x,y,z * (u / (w \ 1))) = L(x,y,z * (u * w)). [para(72(a,1),9038(a,1,3,2,2)),flip(a)]. given #8543 (H,wt=19): 9047 L(x,y,(z * ((1 / z) * u)) * w) = L(x,y,u * w). [para(4(a,1),9043(a,1,3,1)),flip(a)]. given #8544 (H,wt=19): 9049 L(x,y,z * T(u * w,u)) = L(x,y,z * (w * u)). [para(680(a,2),9046(a,1,3,2))]. given #8545 (H,wt=20): 8937 L(x,y,z * (u * L(w,v5,v5))) = L(x,y,z * (u * w)). [para(8390(a,1),8923(a,1,3))]. given #8546 (H,wt=19): 9053 L(x,y,z * ((1 / u) \ w)) = L(x,y,z * (u * w)). [para(2000(a,1),8937(a,1,3,2))]. given #8547 (H,wt=19): 9055 L(x,y,z * ((u \ 1) * w)) = L(x,y,z * (u \ w)). [para(2030(a,1),8937(a,1,3,2)),flip(a)]. given #8548 (H,wt=19): 9057 L(x,y,z * (u * (w / u))) = L(x,y,z * T(w,u)). [para(2920(a,2),9053(a,1,3,2)),flip(a)]. given #8549 (H,wt=20): 9008 (x * y) * K(z,L(u,x,y)) = y * (T(x,y) * K(z,u)). [para(8229(a,1),9003(a,1,2))]. given #8550 (H,wt=20): 9013 L(x,y,y \ (z / y)) != u | L(x,y,y \ (y \ z)) = u. [para(8962(a,1),8961(a,1))]. given #8551 (H,wt=20): 9017 L(x,y,z \ (y \ 1)) != u | L(x,y,y \ (z \ 1)) = u. [para(8993(a,1),8961(a,1))]. given #8552 (H,wt=20): 9019 L(x,y,z * (L(u,w,w) * v5)) = L(x,y,z * (u * v5)). [para(4784(a,1),8936(a,1,3,2))]. given #8553 (H,wt=20): 9020 L(x,y,z * (L(u,w,w) \ v5)) = L(x,y,z * (u \ v5)). [para(6140(a,1),8936(a,1,3,2))]. given #8554 (H,wt=20): 9021 L(x,y,(z * L(u,w,w)) * v5) = L(x,y,(z * u) * v5). [para(8668(a,1),9018(a,1,3)),flip(a)]. given #8555 (H,wt=21): 8966 L(x,y,(z / u) * (1 / z)) = L(x,y,z * (u \ (1 / z))). [para(5098(a,1),8940(a,1,3)),flip(a)]. given #8556 (H,wt=19): 9062 L(x,y,z * (u \ (1 / z))) = L(x,y,(z / u) / z). [hyper(58,a,8979,a(flip),b,8966,a),flip(a)]. given #8557 (H,wt=17): 9063 L(x,y,(z / u) / z) = L(x,y,z \ (u \ z)). [hyper(58,a,5909,a(flip),b,9062,a),flip(a)]. given #8558 (H,wt=21): 8969 L(x,y,z / T(u,u * w)) = L(x,y,z * T(u \ 1,w)). [para(3388(a,1),8941(a,1,3,2)),flip(a)]. given #8559 (H,wt=19): 9064 L(x,y,z * T(u \ 1,w)) = L(x,y,z / T(u,w)). [hyper(58,a,8976,a(flip),b,8969,a),flip(a)]. given #8560 (H,wt=21): 8981 L(x,y,((z * u) \ 1) / u) = L(x,y,u \ (z \ (u \ 1))). [para(4936(a,1),8979(a,1,3)),flip(a)]. given #8561 (H,wt=21): 8983 L(x,y,z / T(u \ 1,w)) = L(x,y,z * T(u,u * w)). [para(3388(a,1),8980(a,1,3,2))]. given #8562 (H,wt=19): 9066 L(x,y,z / T(u \ 1,w)) = L(x,y,z * T(u,w)). [hyper(272,a,9001,a(flip),b,8983,a),flip(a)]. given #8563 (H,wt=19): 9067 L(x,y,z * T(1 / u,w)) = L(x,y,z / T(u,w)). [para(74(a,1),9066(a,1,3,2,1)),flip(a)]. given #8564 (H,wt=19): 9068 L(x,y,z * (u / (u * w))) = L(x,y,z / T(w,u)). [para(3031(a,1),9067(a,1,3,2))]. given #8565 (H,wt=21): 8991 L(x,y,T(z,u) * K(u,w)) = L(x,y,u * (z / T(u,w))). [para(4615(a,1),8988(a,1,3))]. given #8566 (H,wt=21): 9010 L(x,T(y,K(z,u)) / z,T(z,u)) = L(x,z \ y,T(z,u)). [para(4553(a,2),9007(a,1,2))]. given #8567 (H,wt=21): 9036 L(x,y,((z * u) * z) \ w) = L(x,y,(z * (u * z)) \ w). [para(3502(a,1),8996(a,1,3,1))]. given #8568 (H,wt=21): 9039 L(x,y,z * ((1 / u) / w)) = L(x,y,z * (u \ (w \ 1))). [hyper(58,a,8998,a(flip),b,8999,a),flip(a)]. given #8569 (H,wt=21): 9041 L(x,y,K(z,u) * T(w,z)) = L(x,y,T(z,u) * (w / z)). [para(3205(a,1),8999(a,1,3))]. given #8570 (H,wt=21): 9048 L(x,y,(z * u) * (w * z)) = L(x,y,z * ((u * w) * z)). [para(27(a,1),9043(a,1,3)),flip(a)]. given #8571 (H,wt=21): 9058 L(x,y,z * T(u,u \ w)) = L(x,y,z * (w * (u / w))). [hyper(272,a,9042,a,b,9057,a)]. given #8572 (H,wt=21): 9069 L(x,y,z * ((u \ w) \ w)) = L(x,y,z * (w * (u / w))). [para(99(a,1),9058(a,1,3,2))]. given #8573 (H,wt=22): 9004 (x * y) * L(L(z,x,y),u,w) = T(y,x) * (x * L(z,u,w)). [para(25(a,1),8956(a,1,2))]. given #8574 (H,wt=23): 8949 L(x,y,T(z \ (z / u),u * z)) = L(x,y,T(z \ (z / u),z)). [para(3297(a,1),8928(a,1,3,2)),flip(a)]. given #8575 (H,wt=21): 9071 L(x,y,T(z \ (z / u),u * z)) = L(x,y,(z / u) / z). [para(2775(a,1),8949(a,2,3))]. given #8576 (H,wt=21): 9072 L(x,y,T(z \ (z / u),u * z)) = L(x,y,z \ (u \ z)). [hyper(272,a,9063,a(flip),b,9071,a),flip(a)]. given #8577 (H,wt=17): 9073 L(x,y,(z * u) \ u) = L(x,y,u \ (z \ u)). [para(3304(a,1),9072(a,1,3))]. given #8578 (H,wt=15): 9074 L(x,y,y \ (z \ y)) = L(x,y,z \ 1). [hyper(8959,a,9073,a),flip(a)]. given #8579 (H,wt=21): 9076 L(x,y,((z / y) \ y) \ 1) = L(x,y,y \ ((z \ y) \ 1)). [para(3464(a,1),9074(a,1,3,2)),flip(a)]. given #8580 (H,wt=23): 8965 L(x,y,(z \ ((u \ z) \ 1)) \ w) = L(x,y,(u \ (z * z)) * w). [para(4563(a,1),8940(a,1,3,1))]. given #8581 (H,wt=23): 8970 L(x,y,z * (u \ (T(u,w) \ 1))) = L(x,y,(z / u) / T(u,w)). [para(8291(a,1),8941(a,1,3))]. given #8582 (H,wt=23): 8990 L(x,y,((z \ 1) * (u \ 1)) * w) = L(x,y,((1 / u) \ z) \ w). [para(4020(a,1),8988(a,1,3,1)),flip(a)]. given #8583 (H,wt=23): 8994 L(x,y,((z \ (u \ 1)) \ w) \ 1) = L(x,y,w \ ((1 / z) / u)). [para(4904(a,2),8989(a,1,3))]. given #8584 (H,wt=23): 8997 L(x,y,T(z / (1 / u),w) \ v5) = L(x,y,T(z * u,w) \ v5). [para(3106(a,1),8933(a,1,3,1))]. given #8585 (H,wt=23): 9052 L(x,y,z * (u * ((1 / w) * v5))) = L(x,y,z * (u * (w \ v5))). [para(1996(a,1),8937(a,1,3,2,2)),flip(a)]. given #8586 (H,wt=23): 9054 L(x,y,z * (u * ((w \ 1) \ v5))) = L(x,y,z * (u * (w * v5))). [para(2002(a,1),8937(a,1,3,2,2))]. given #8587 (H,wt=23): 9056 L(x,y,z * (u * (w * (v5 \ 1)))) = L(x,y,z * (u * (w / v5))). [para(3112(a,1),8937(a,1,3,2,2)),flip(a)]. given #8588 (H,wt=23): 9060 L(x,y,z * ((u * (w \ 1)) * v5)) = L(x,y,z * ((u / w) * v5)). [para(3112(a,1),9019(a,1,3,2,1)),flip(a)]. given #8589 (H,wt=23): 9061 L(x,y,z * (T(u,w \ 1) \ v5)) = L(x,y,z * (T(u,w) \ v5)). [para(2792(a,1),9020(a,1,3,2,1))]. given #8590 (H,wt=23): 9065 L(x,y,z * (u \ T(u \ 1,w))) = L(x,y,(z / u) / T(u,w)). [para(8288(a,1),9064(a,1,3))]. given #8591 (H,wt=23): 9080 L(x,y,(z * u) * ((w \ 1) * z)) = L(x,y,z * ((u / w) * z)). [hyper(58,a,9048,a,b,9060,a)]. given #8592 (H,wt=21): 9081 L(x,y,(z * u) * (w \ z)) = L(x,y,z * ((u / w) * z)). [hyper(58,a,9055,a(flip),b,9080,a)]. given #8593 (H,wt=24): 9059 K(x,L(T(y,z * u),z,u)) * (z * u) = u * (T(z,u) * K(x,y)). [hyper(58,a,5317,a,b,9008,a)]. given #8594 (H,wt=25): 8951 L(x,y,T(z \ (u \ 1),(u * z) \ w)) = L(x,y,T(z \ (u \ 1),w)). [para(8599(a,1),8928(a,1,3))]. given #8595 (H,wt=25): 8995 L(x,y,(a(z,u,u) * (w \ 1)) * v5) = L(x,y,w \ (a(z,u,u) * v5)). [para(8371(a,2),8989(a,1,3))]. given #8596 (H,wt=23): 9083 L(x,y,z \ (a(u,w,w) * v5)) = L(x,y,(z \ a(u,w,w)) * v5). [para(5603(a,1),8995(a,1,3,1)),flip(a)]. given #8597 (H,wt=23): 9084 L(x,y,(z \ a(u,w,w)) * v5) = L(x,y,(z \ v5) * a(u,w,w)). [para(8376(a,1),9083(a,1,3)),flip(a)]. given #8598 (H,wt=18): 9085 L(x,y,(z \ a(u,w,w)) * v5) = L(x,y,z \ v5). [hyper(272,a,8931,a(flip),b,9084,a),flip(a)]. given #8599 (H,wt=17): 9090 L(x,y,((z * u) \ z) * w) = L(x,y,u \ w). [para(5669(a,2),9085(a,1,3,1))]. given #8600 (H,wt=15): 9092 L(x,y,(z * u) \ z) = L(x,y,u \ 1). [para(3(a,1),9090(a,1,3))]. given #8601 (H,wt=15): 9097 L(x,y,(z \ u) \ 1) = L(x,y,u \ z). [para(5(a,1),9092(a,1,3,1)),flip(a)]. given #8602 (H,wt=15): 9098 L(x,y,z \ (z / u)) = L(x,y,u \ 1). [para(7(a,1),9092(a,1,3,1))]. given #8603 (H,wt=17): 9093 L(x,y,(z \ u) \ w) = L(x,y,(u \ z) * w). [para(5(a,1),9090(a,1,3,1,1)),flip(a)]. given #8604 (H,wt=17): 9094 L(x,y,(z \ (z / u)) * w) = L(x,y,u \ w). [para(7(a,1),9090(a,1,3,1,1))]. given #8605 (H,wt=17): 9095 L(x,y,(z / u) \ w) = L(x,y,(u / z) * w). [para(3309(a,1),9090(a,1,3,1)),flip(a)]. given #8606 (H,wt=17): 9100 L(x,y,(z * u) \ 1) = L(x,y,u \ (z \ 1)). [hyper(58,a,8996,a(flip),b,9097,a)]. given #8607 (H,wt=16): 9107 L(R(x,y,z),z,z) = L(x,z,z \ (y \ 1)). [hyper(58,a,7169,a,b,9100,a)]. given #8608 (H,wt=18): 9109 L(R(x,y,z),z,z) = L(x,z,(z \ 1) * (y \ 1)). [hyper(272,a,8989,a,b,9107,a),flip(a)]. given #8609 (H,wt=19): 9103 L(x,y,(z \ (u \ 1)) * w) = L(x,y,(u * z) \ w). [hyper(58,a,8996,a(flip),b,9093,a),flip(a)]. given #8610 (H,wt=20): 9089 L(x,y,(z \ a(u,w,w)) / v5) = L(x,y,z \ (v5 \ 1)). [hyper(58,a,8941,a(flip),b,9085,a)]. given #8611 (H,wt=21): 9096 L(x,y,z \ T(u,z \ 1)) = L(x,y,u * ((w * z) \ w)). [para(4477(a,1),9090(a,1,3)),flip(a)]. given #8612 (H,wt=17): 9112 L(x,y,z * ((u * w) \ u)) = L(x,y,z / w). [hyper(58,a,9015,a(flip),b,9096,a),flip(a)]. given #8613 (H,wt=17): 9113 L(x,y,z / (u \ w)) = L(x,y,z * (w \ u)). [para(5(a,1),9112(a,1,3,2,1)),flip(a)]. given #8614 (H,wt=21): 9101 L(x,y,z \ ((1 / u) / w)) = L(x,y,z \ (u \ (w \ 1))). [hyper(58,a,8994,a(flip),b,9097,a)]. given #8615 (H,wt=21): 9105 x * L(x \ 1,y,(z \ u) * w) = a(x,(u \ z) \ w,y). [hyper(114,a,9093,a(flip),b,1184,a(flip))]. given #8616 (H,wt=17): 9117 a(x,(y \ z) \ u,w) = a(x,(z \ y) * u,w). [hyper(1204,a,9105,a),flip(a)]. given #8617 (H,wt=21): 9106 x * L(x \ 1,y,(z / u) * w) = a(x,(u / z) \ w,y). [hyper(114,a,9095,a(flip),b,1184,a(flip))]. given #8618 (H,wt=17): 9119 a(x,(y / z) \ u,w) = a(x,(z / y) * u,w). [hyper(1204,a,9106,a),flip(a)]. given #8619 (H,wt=21): 9108 x * L(x \ 1,y,z \ (u \ 1)) = a(x,(u * z) \ 1,y). [hyper(114,a,9100,a(flip),b,1184,a(flip))]. given #8620 (H,wt=17): 9121 a(x,(y * z) \ 1,u) = a(x,z \ (y \ 1),u). [hyper(1204,a,9108,a),flip(a)]. given #8621 (H,wt=20): 9122 a(x,(y * z) \ 1,u) != w | a(x,z \ (y \ 1),u) = w. [para(9108(a,1),1204(a,1))]. given #8622 (H,wt=21): 9114 L(x,y,z * (u \ (u \ (u / w)))) = L(x,y,z / (w * u)). [para(3297(a,1),9112(a,1,3,2,1))]. given #8623 (H,wt=23): 9091 L(x,y,((z * u) \ z) * (T(w,v5) \ v5)) = L(x,y,u \ (v5 / w)). [hyper(58,a,9037,a,b,9090,a)]. given #8624 (H,wt=19): 9124 L(x,y,z \ (u * (w \ 1))) = L(x,y,z \ (u / w)). [para(3732(a,1),9091(a,1,3))]. given #8625 (H,wt=23): 9102 L(x,y,((z \ 1) * (u \ 1)) * w) = L(x,y,(z \ (1 / u)) * w). [hyper(58,a,8990,a,b,9093,a)]. given #8626 (H,wt=21): 9125 L(x,y,(z \ (1 / u)) * w) = L(x,y,(z \ (u \ 1)) * w). [hyper(58,a,9033,a(flip),b,9102,a),flip(a)]. given #8627 (H,wt=19): 9126 L(x,y,(z \ (1 / u)) * w) = L(x,y,(u * z) \ w). [hyper(272,a,9103,a(flip),b,9125,a),flip(a)]. given #8628 (H,wt=23): 9104 L(x,y,(((z \ u) \ 1) \ u) * w) = L(x,y,(z \ (u * u)) * w). [hyper(58,a,8965,a(flip),b,9093,a),flip(a)]. given #8629 (H,wt=21): 9127 L(x,y,(z \ (u * u)) * w) = L(x,y,(u * (u / z)) * w). [para(3466(a,1),9104(a,1,3,1)),flip(a)]. given #8630 (H,wt=23): 9110 L(x,y,(z \ ((z * u) \ 1)) * w) = L(x,y,(z * (u * z)) \ w). [hyper(272,a,9036,a(flip),b,9103,a),flip(a)]. given #8631 (H,wt=23): 9111 L(x,y,(z \ T(u \ w,w)) * v5) = L(x,y,((u / w) * z) \ v5). [para(2768(a,2),9103(a,1,3,1,2))]. given #8632 (H,wt=24): 9118 a(x,(y \ z) \ u,w) != v5 \ v6 | v5 * a(x,(z \ y) * u,w) = v6. [para(9105(a,1),1205(a,2)),flip(a)]. given #8633 (H,wt=24): 9120 a(x,(y / z) \ u,w) != v5 \ v6 | v5 * a(x,(z / y) * u,w) = v6. [para(9106(a,1),1205(a,2)),flip(a)]. given #8634 (H,wt=25): 9014 L(x,y,T(z \ (u \ (z \ 1)),w)) = L(x,y,T((z * u) * z,w) \ 1). [para(4349(a,1),8972(a,1,3,1))]. given #8635 (H,wt=25): 9070 T(L(x,y,z),x) * (x * L(u,x,x)) = L(L(x,y,z) * (x * u),x,x). [hyper(58,a,6557,a(flip),b,9004,a),flip(a)]. given #8636 (H,wt=23): 9128 L(L(x,y,z) * (x * u),x,x) = L(x,y,z) * (x * L(u,x,x)). [para(159(a,1),9070(a,1,1)),flip(a)]. given #8637 (H,wt=22): 9129 L(L(x,y,z) * (x * u),x,x) = L(x,y,z) * ((1 / x) \ u). [para(2000(a,1),9128(a,2,2))]. given #8638 (H,wt=25): 9077 L(x,1 / y,((y * y) \ z) \ 1) = L(x,1 / y,(1 / y) \ (z \ y)). [para(4631(a,1),9074(a,1,3,2)),flip(a)]. given #8639 (H,wt=23): 9130 L(x,1 / y,((y * y) \ z) \ 1) = L(x,1 / y,y * (z \ y)). [hyper(272,a,8988,a(flip),b,9077,a),flip(a)]. given #8640 (H,wt=23): 9131 L(x,1 / y,((y * y) \ z) \ 1) = L(x,y \ 1,y * (z \ y)). [hyper(272,a,2461,a(flip),b,9130,a),flip(a)]. given #8641 (H,wt=21): 9132 L(x,1 / y,z \ (y * y)) = L(x,y \ 1,y * (z \ y)). [hyper(58,a,9097,a(flip),b,9131,a)]. given #8642 (H,wt=21): 9133 L(x,1 / y,y * (y / z)) = L(x,y \ 1,y * (z \ y)). [hyper(58,a,9040,a(flip),b,9132,a)]. given #8643 (H,wt=21): 9134 L(x,y \ 1,y * (y / z)) = L(x,y \ 1,y * (z \ y)). [hyper(58,a,2461,a(flip),b,9133,a)]. given #8644 (H,wt=25): 9079 L(x,y,T((z * u) * z,w) \ v5) = L(x,y,T(z * (u * z),w) \ v5). [para(3589(a,1),8997(a,1,3,1,1)),flip(a)]. given #8645 (H,wt=25): 9082 L(x,y,(z \ (u \ 1)) * K(w,u * z)) = L(x,y,T(z \ (u \ 1),w)). [para(8893(a,1),8951(a,1,3))]. given #8646 (H,wt=23): 9136 L(x,y,(z * u) \ K(w,z * u)) = L(x,y,T(u \ (z \ 1),w)). [hyper(58,a,9103,a(flip),b,9082,a)]. given #8647 (H,wt=21): 9137 L(x,y,T(z \ (u \ 1),w)) = L(x,y,T(u * z,w) \ 1). [para(2679(a,2),9136(a,1,3)),flip(a)]. given #8648 (H,wt=25): 9123 L(x,y,z * (u * (1 / ((w \ u) * u)))) = L(x,y,z / ((w \ 1) * u)). [para(5195(a,1),9114(a,1,3,2))]. given #8649 (H,wt=23): 9138 L(x,y,z * (u / ((w \ u) * u))) = L(x,y,z / ((w \ 1) * u)). [hyper(58,a,9038,a(flip),b,9123,a)]. given #8650 (H,wt=23): 9139 L(x,y,z * (u \ (u / (w \ u)))) = L(x,y,z / ((w \ 1) * u)). [para(3305(a,1),9138(a,1,3,2))]. given #8651 (H,wt=19): 9140 L(x,y,z / ((u \ 1) * w)) = L(x,y,z * (w \ u)). [para(72(a,1),9139(a,1,3,2,2)),flip(a)]. given #8652 (H,wt=19): 9142 L(x,y,z * (u \ (1 / w))) = L(x,y,z / (w * u)). [para(74(a,1),9140(a,1,3,2,1)),flip(a)]. given #8653 (H,wt=19): 9144 L(x,y,z * (u \ (w \ 1))) = L(x,y,z / (w * u)). [hyper(58,a,5781,a(flip),b,9142,a)]. given #8654 (H,wt=19): 9145 L(x,y,z * ((1 / u) / w)) = L(x,y,z / (w * u)). [hyper(58,a,9039,a,b,9144,a)]. given #8655 (H,wt=21): 9143 L(x,y,(z \ 1) / (u * w)) = L(x,y,z \ (w \ (1 / u))). [hyper(58,a,8989,a(flip),b,9142,a),flip(a)]. given #8656 (H,wt=21): 9146 L(x,y,(z \ 1) / (u * w)) = L(x,y,z \ ((1 / w) / u)). [hyper(58,a,8989,a(flip),b,9145,a),flip(a)]. given #8657 (H,wt=21): 9147 L(x,y,z \ ((u * w) \ 1)) = L(x,y,z \ (w \ (1 / u))). [hyper(58,a,8993,a(flip),b,9143,a)]. given #8658 (H,wt=21): 9148 L(x,y,z \ ((1 / u) / w)) = L(x,y,z \ ((w * u) \ 1)). [hyper(58,a,8993,a(flip),b,9146,a),flip(a)]. given #8659 (H,wt=21): 9149 L(x,y,z \ ((u * w) \ 1)) = L(x,y,z \ (w \ (u \ 1))). [hyper(58,a,9101,a(flip),b,9148,a),flip(a)]. given #8660 (H,wt=21): 9150 L(x,y,z \ (u \ (1 / w))) = L(x,y,z \ (u \ (w \ 1))). [hyper(58,a,9147,a(flip),b,9149,a)]. given #8661 (H,wt=21): 9151 L(x,y,z \ (u \ ((w \ 1) \ 1))) = L(x,y,z \ (u \ w)). [para(72(a,1),9150(a,1,3,2,2)),flip(a)]. given #8662 (H,wt=25): 9135 L(x,y,T(z \ (u \ (z \ 1)),w)) = L(x,y,T(z * (u * z),w) \ 1). [hyper(58,a,9014,a,b,9079,a)]. given #8663 (H,wt=25): 9152 L(x,y,z \ (u \ T(1 / w,v5))) = L(x,y,z \ (u \ T(w \ 1,v5))). [para(1616(a,1),9151(a,1,3,2,2)),flip(a)]. given #8664 (H,wt=26): 9050 L(x,y,(((z \ 1) * u) * L(w,z,z)) * v5) = L(x,y,((z \ u) * w) * v5). [para(7634(a,1),9047(a,1,3,1))]. given #8665 (H,wt=23): 9153 L(x,y,(((z \ 1) * u) * w) * v5) = L(x,y,((z \ u) * w) * v5). [hyper(58,a,9021,a(flip),b,9050,a)]. given #8666 (H,wt=27): 9044 L(x,y,(((z * (u \ z)) \ z) * w) * v5) = L(x,y,(((z \ u) \ 1) \ w) * v5). [para(4107(a,1),9033(a,1,3,1,1))]. given #8667 (H,wt=25): 9155 L(x,y,(((z * (u \ z)) \ z) * w) * v5) = L(x,y,((z \ u) * w) * v5). [hyper(272,a,8978,a(flip),b,9044,a),flip(a)]. given #8668 (H,wt=27): 9075 L(x,T(y,z \ 1),T(y,z \ 1) \ (z \ T(y,z \ 1))) = L(x,y,z \ 1). [hyper(272,a,9007,a(flip),b,9074,a),flip(a)]. given #8669 (H,wt=27): 9078 L(x,y \ z,(y \ z) \ (y \ (y / z))) = L(x,y \ z,((y \ z) * z) \ 1). [para(7043(a,1),9074(a,1,3,2))]. given #8670 (H,wt=25): 9157 L(x,y \ z,((y / z) \ z) \ 1) = L(x,y \ z,((y \ z) * z) \ 1). [para(7046(a,1),9078(a,1,3))]. given #8671 (H,wt=23): 9158 L(x,y \ z,((y \ z) * z) \ 1) = L(x,y \ z,z \ (y / z)). [hyper(58,a,9097,a(flip),b,9157,a),flip(a)]. given #8672 (H,wt=23): 9159 L(x,y \ z,z \ ((y \ z) \ 1)) = L(x,y \ z,z \ (y / z)). [hyper(58,a,9100,a(flip),b,9158,a)]. given #8673 (H,wt=27): 9156 L(x,T(y,z \ 1),T(y,z \ 1) \ ((z \ 1) * T(y,z))) = L(x,y,z \ 1). [para(2841(a,1),9075(a,1,3,2))]. given #8674 (H,wt=21): 9160 L(x,T(y,z \ 1),(z \ 1) * K(y,z)) = L(x,y,z \ 1). [para(5223(a,1),9156(a,1,3))]. given #8675 (H,wt=19): 9161 L(x,T(y,z \ 1),z \ K(y,z)) = L(x,y,z \ 1). [hyper(58,a,8989,a(flip),b,9160,a)]. given #8676 (H,wt=28): 9087 L(x,y,(z \ a(u,w,w)) * (T(v5,v6) \ v7)) = L(x,y,z \ (T(v5,v6 \ 1) \ v7)). [hyper(58,a,9061,a(flip),b,9085,a)]. given #8677 (H,wt=23): 9162 L(x,y,z \ (T(u,w \ 1) \ v5)) = L(x,y,z \ (T(u,w) \ v5)). [hyper(58,a,9085,a(flip),b,9087,a),flip(a)]. given #8678 (H,wt=28): 9116 L(T(x,y * (y / z)),y / (y \ z),y * (z \ y)) = T(x,1 / ((y * y) / z)). [hyper(58,a,7596,a(flip),b,9113,a),flip(a)]. given #8679 (H,wt=29): 8525 T(x,y * (z * ((u \ 1) * ((1 / w) / v5)))) = T(x,y * (z / ((w \ (v5 \ 1)) \ u))). [para(4904(a,1),8483(a,1,2,2,2))]. given #8680 (H,wt=27): 9163 T(x,y * (z / ((u \ (w \ 1)) \ v5))) = T(x,y * (z * ((v5 \ 1) / (w * u)))). [hyper(58,a,8912,a(flip),b,8525,a),flip(a)]. given #8681 (H,wt=29): 8527 T(T(x,y * (z / u)),K(w,y * (z * (u \ 1)))) = T(x,T(y * (z * (u \ 1)),w)). [para(8483(a,1),5485(a,1,1))]. given #8682 (H,wt=27): 9164 T(T(x,y * (z / u)),K(w,y * (z / u))) = T(x,T(y * (z * (u \ 1)),w)). [para(8500(a,1),8527(a,1,2))]. given #8683 (H,wt=21): 9165 T(x,T(y * (z * (u \ 1)),w)) = T(x,T(y * (z / u),w)). [hyper(5497,a,9164,a),flip(a)]. given #8684 (H,wt=29): 8608 K(x,(y / z) * (u \ 1)) / (u * (z / y)) = T(((z \ 1) \ (y \ 1)) \ (1 / u),x). [para(8606(a,1),7209(a,1,1))]. given #8685 (H,wt=27): 9167 T(((x \ 1) \ (y \ 1)) \ (1 / z),u) = K(u,(y / x) / z) / (z * (x / y)). [para(5973(a,1),8608(a,1,1)),flip(a)]. given #8686 (H,wt=23): 9168 K(x,(y / z) / u) / (u * (z / y)) = T(1 / (u * (z / y)),x). [para(4198(a,1),9167(a,1,1)),flip(a)]. given #8687 (H,wt=29): 8657 T(x,y * ((z \ 1) * ((z * (1 / u)) * w))) = T(x,y * ((u \ (w * (z \ 1))) * z)). [para(6419(a,1),8572(a,1,2,2))]. given #8688 (H,wt=27): 9169 T(x,y * ((z \ (u * (w \ 1))) * w)) = T(x,y * ((w \ 1) * ((w / z) * u))). [hyper(58,a,8871,a(flip),b,8657,a),flip(a)]. given #8689 (H,wt=25): 9170 T(x,y * ((z \ (u * (w \ 1))) * w)) = T(x,y * (w \ ((w / z) * u))). [hyper(272,a,8519,a(flip),b,9169,a),flip(a)]. given #8690 (H,wt=29): 8667 ((x * y) * (a(z,u,u) * w)) / ((a(z,u,u) * y) * w) = R(x,a(z,u,u) * y,w). [hyper(113,a,8641,a(flip),b,93,a)]. given #8691 (H,wt=29): 8694 T(x,T(y,z * (u * (1 / w))) * (z * (u / w))) = T(x,(z * (u * (1 / w))) * y). [hyper(5779,a,8691,a),flip(a)]. given #8692 (H,wt=27): 9172 T(x,T(y,z * (u / w)) * (z * (u / w))) = T(x,(z * (u * (1 / w))) * y). [para(8550(a,1),8694(a,1,2,1))]. given #8693 (H,wt=21): 9173 T(x,(y * (z * (1 / u))) * w) = T(x,(y * (z / u)) * w). [hyper(5779,a,9172,a),flip(a)]. given #8694 (H,wt=21): 9174 T(x,(y * (z / (u \ 1))) * w) = T(x,(y * (z * u)) * w). [para(72(a,1),9173(a,1,2,1,2,2)),flip(a)]. given #8695 (H,wt=29): 8699 T(x,y * ((1 / T(z,u * (1 / w))) * (u / w))) = T(x,y * ((u * (1 / w)) / z)). [para(2793(a,1),8691(a,1,2,2)),flip(a)]. given #8696 (H,wt=27): 9175 T(x,y * ((1 / T(z,u / w)) * (u / w))) = T(x,y * ((u * (1 / w)) / z)). [para(6044(a,1),8699(a,1,2,2,1,2))]. given #8697 (H,wt=21): 9176 T(x,y * ((z * (1 / u)) / w)) = T(x,y * ((z / u) / w)). [para(2793(a,1),9175(a,1,2,2)),flip(a)]. given #8698 (H,wt=23): 9177 T(x,y * (((z \ 1) / u) / w)) = T(x,y * ((z \ (1 / u)) / w)). [hyper(58,a,8848,a(flip),b,9176,a),flip(a)]. given #8699 (H,wt=29): 8700 T(x,(y \ (y \ z)) * (((y * y) \ z) * (y \ (y \ z)))) = T(x,(y \ (y \ z)) \ 1). [hyper(272,a,7737,a(flip),b,8571,a),flip(a)]. given #8700 (H,wt=29): 8791 (L(x,y,z) * T(u,x)) \ (u * L(x,y,z)) != w | K(u * x,u * L(x,y,z)) = w. [para(8789(a,1),2655(a,1,1))]. given #8701 (H,wt=29): 8815 (x * R(y,z,u)) / (R(y,z,u) * T(x,y)) != w | K(x * y,x * R(y,z,u)) = w. [para(8813(a,1),2688(a,1,2))]. given #8702 (H,wt=29): 8852 T(x,y * ((z \ (u \ 1)) * (z \ (u \ 1)))) = T(x,y * ((u \ (z \ (u \ 1))) / z)). [para(3277(a,1),8848(a,1,2,2))]. given #8703 (H,wt=27): 9179 T(x,y * ((z \ (u \ (z \ 1))) / u)) = T(x,y * ((u * z) \ (1 / (u * z)))). [para(7505(a,1),8852(a,1,2,2)),flip(a)]. given #8704 (H,wt=28): 9180 T(x,y * ((z \ (u \ (z \ 1))) / u)) != w | T(x,(u * z) \ ((u * z) \ y)) = w. [para(9179(a,2),6147(a,1))]. given #8705 (H,wt=29): 8897 T(x,y * (z * ((u * (u * (w / z))) * z))) = T(x,y * (((1 / z) \ (u * u)) * w)). [para(108(a,1),8693(a,1,2,2)),flip(a)]. given #8706 (H,wt=27): 9181 T(x,y * (z * ((u * (u * (w / z))) * z))) = T(x,y * ((z * (u * u)) * w)). [para(3379(a,1),8897(a,2,2,2,1))]. given #8707 (H,wt=25): 9182 T(x,y * (T(z,u) * ((u * w) * w))) = T(x,y * ((u * (w * w)) * z)). [para(5193(a,1),9181(a,1,2,2))]. given #8708 (H,wt=25): 9183 T(x,y * (T(z,u) * (u * (w * w)))) = T(x,y * ((u * (w * w)) * z)). [hyper(58,a,8713,a(flip),b,9182,a)]. given #8709 (H,wt=29): 8917 (x * (a(y,z,z) * u)) \ (x * (a(y,z,z) * (u * w))) = L(w,u,a(y,z,z) * x). [para(8371(a,1),8382(a,1,2))]. given #8710 (H,wt=25): 9185 L(L(x,y,a(z,u,u)),a(z,u,u) * y,w) = L(x,y,a(z,u,u) * w). [hyper(733,a,8917,a)]. given #8711 (H,wt=19): 9186 L(x,a(y,z,z) * u,w) = L(x,u,a(y,z,z) * w). [para(8402(a,1),9185(a,1,1))]. given #8712 (H,wt=14): 9187 L(x,a(y,z,z) * u,w) = L(x,u,w). [hyper(272,a,8924,a(flip),b,9186,a),flip(a)]. given #8713 (H,wt=12): 9189 L(x,L(y,z,z),u) = L(x,y,u). [para(2505(a,2),9187(a,1,2))]. given #8714 (H,wt=12): 9190 L(x,L(y,z,y),u) = L(x,y,u). [para(3809(a,1),9187(a,1,2))]. given #8715 (H,wt=14): 9191 L(x,a(y,y,z) * u,w) = L(x,u,w). [para(4244(a,1),9187(a,1,2,1))]. given #8716 (H,wt=14): 9204 L(x,y * a(z,z,u),w) = L(x,y,w). [para(5594(a,1),9191(a,1,2))]. given #8717 (H,wt=15): 9193 L(x,L(y,z,z),L(u,w,w)) = L(x,y,u). [hyper(272,a,8929,a(flip),b,9189,a),flip(a)]. given #8718 (H,wt=15): 9194 L(x,(1 / y) * z,u) = L(x,y \ z,u). [para(1996(a,1),9189(a,1,2)),flip(a)]. given #8719 (H,wt=15): 9195 L(x,(y \ 1) \ z,u) = L(x,y * z,u). [para(2002(a,1),9189(a,1,2))]. given #8720 (H,wt=15): 9196 L(x,T(y,z \ 1),u) = L(x,T(y,z),u). [para(2792(a,1),9189(a,1,2))]. given #8721 (H,wt=15): 9197 L(x,y * (z \ 1),u) = L(x,y / z,u). [para(3112(a,1),9189(a,1,2)),flip(a)]. given #8722 (H,wt=15): 9202 L(x,T(y / z,y),u) = L(x,z \ y,u). [para(2340(a,1),9190(a,1,2))]. given #8723 (H,wt=13): 9215 L(x,y / z,y) = L(x,z \ y,y). [hyper(58,a,9007,a(flip),b,9202,a)]. given #8724 (H,wt=15): 9209 L(x,T(y,z) \ z,u) = L(x,z / y,u). [para(2793(a,1),9194(a,1,2)),flip(a)]. given #8725 (H,wt=15): 9211 L(x,(1 / y) \ z,u) = L(x,y * z,u). [hyper(58,a,2463,a,b,9195,a)]. given #8726 (H,wt=15): 9214 L(x,T(y,z),z \ 1) = L(x,y,z \ 1). [hyper(58,a,9007,a(flip),b,9196,a),flip(a)]. given #8727 (H,wt=15): 9218 L(x,(y \ 1) * z,u) = L(x,y \ z,u). [para(72(a,1),9211(a,1,2,1)),flip(a)]. given #8728 (H,wt=15): 9219 L(x,y * (z / y),u) = L(x,T(z,y),u). [para(2920(a,2),9211(a,1,2)),flip(a)]. given #8729 (H,wt=15): 9225 L(x,y * (z / y),T(z,y)) = L(x,z,z). [hyper(272,a,6180,a(flip),b,9219,a),flip(a)]. given #8730 (H,wt=15): 9226 L(x,(y \ z) * y,u) = L(x,T(z,y),u). [para(2828(a,2),9219(a,1,2))]. given #8731 (H,wt=16): 9192 L(x,L(y,z,z) * u,w) = L(x,y * u,w). [para(8311(a,1),9187(a,1,2))]. given #8732 (H,wt=16): 9203 L(x,a(y,y,z) * u,w) = L(x,u,w) * 1. [hyper(272,a,3,a,b,9191,a),flip(a)]. given #8733 (H,wt=16): 9205 L(x,y * L(z,u,u),w) = L(x,y * z,w). [para(8385(a,1),9191(a,1,2))]. given #8734 (H,wt=17): 9198 L(x,(y * y) * z,u) = L(x,y * (y * z),u). [para(3559(a,1),9189(a,1,2)),flip(a)]. given #8735 (H,wt=17): 9199 L(x,(y \ z) * z,u) = L(x,z * (z / y),u). [para(3490(a,1),9189(a,1,2)),flip(a)]. given #8736 (H,wt=17): 9208 L(x,(y \ z) / y,u) = L(x,y \ (z / y),u). [para(376(a,1),9194(a,1,2))]. given #8737 (H,wt=17): 9212 L(x,(y * z) * z,u) = L(x,z * (z * y),u). [para(3503(a,1),9195(a,1,2))]. given #8738 (H,wt=17): 9213 L(x,T(y,z),z \ K(y,z)) = L(x,y,z \ 1). [hyper(58,a,9161,a(flip),b,9196,a),flip(a)]. given #8739 (H,wt=17): 9223 L(x,(y \ 1) / z,u) = L(x,y \ (z \ 1),u). [hyper(58,a,9197,a(flip),b,9218,a)]. given #8740 (H,wt=17): 9230 L(x,a(y,y,z) * u,w) != v5 | L(x,u,w) = v5. [para(9203(a,2),119(a,1)),flip(b)]. given #8741 (H,wt=17): 9234 L(x,y \ (z / y),y) = L(x,y \ (y \ z),y). [hyper(58,a,9009,a(flip),b,9208,a),flip(a)]. given #8742 (H,wt=17): 9235 L(x,(y \ 1) / z,u) = L(x,y \ (1 / z),u). [hyper(272,a,2466,a,b,9223,a),flip(a)]. given #8743 (H,wt=18): 9227 L(x,y * (z / y),T(z,y)) != u | L(x,z,z) = u. [para(9219(a,2),6181(a,1))]. given #8744 (H,wt=19): 9217 a(x,y,T(z,u) \ u) = x * L(x \ 1,u / z,y). [hyper(114,a,9209,a(flip),b,1184,a(flip)),flip(a)]. given #8745 (H,wt=15): 9237 a(x,y,T(z,u) \ u) = a(x,y,u / z). [hyper(272,a,1178,a,b,9217,a),flip(a)]. given #8746 (H,wt=15): 9238 a(x,y,z \ T(u,z)) = a(x,y,u / z). [para(2245(a,1),9237(a,1,3))]. given #8747 (H,wt=15): 9239 a(x,y,z / T(u,z)) = a(x,y,u \ z). [para(2765(a,1),9237(a,1,3,1)),flip(a)]. given #8748 (H,wt=15): 9240 a(x,y,z * (u \ 1)) = a(x,y,z / u). [para(2935(a,1),9237(a,1,3))]. given #8749 (H,wt=15): 9242 a(x,y,(z \ 1) \ u) = a(x,y,z * u). [para(2241(a,1),9239(a,1,3)),flip(a)]. given #8750 (H,wt=15): 9243 a(x,y,(1 / z) * u) = a(x,y,z \ u). [para(2242(a,1),9239(a,1,3))]. given #8751 (H,wt=15): 9245 a(x,y,(1 / z) * (z * u)) = a(x,y,u). [para(4(a,1),9243(a,2,3))]. given #8752 (H,wt=12): 9247 a(x,y,L(z,u,u)) = a(x,y,z). [para(3118(a,1),9245(a,1,3))]. given #8753 (H,wt=15): 9248 a(x,y,T(z,u \ 1)) = a(x,y,T(z,u)). [para(2792(a,1),9247(a,1,3))]. given #8754 (H,wt=17): 9241 a(x,y,(z \ u) / z) = a(x,y,z \ (u / z)). [para(2775(a,1),9238(a,1,3,2)),flip(a)]. given #8755 (H,wt=17): 9244 a(x,y,(z * z) * u) = a(x,y,z * (z * u)). [para(3523(a,1),9242(a,1,3))]. given #8756 (H,wt=17): 9246 a(x,y,(z * z) \ u) = a(x,y,z \ (z \ u)). [para(3261(a,1),9243(a,1,3))]. given #8757 (H,wt=19): 9228 L(x,((1 / y) * z) * u,w) = L(x,(y \ z) * u,w). [para(1996(a,1),9192(a,1,2,1)),flip(a)]. given #8758 (H,wt=19): 9229 L(x,(y * (z \ 1)) * u,w) = L(x,(y / z) * u,w). [para(3112(a,1),9192(a,1,2,1)),flip(a)]. given #8759 (H,wt=19): 9232 L(x,y * (z * (u \ 1)),w) = L(x,y * (z / u),w). [para(3112(a,1),9205(a,1,2,2)),flip(a)]. given #8760 (H,wt=17): 9253 L(x,y \ (z * z),u) = L(x,z * (z / y),u). [para(3290(a,1),9232(a,1,2))]. given #8761 (H,wt=19): 9236 L(x,y * L(z,u,u),w) != v5 | L(x,y * z,w) = v5. [para(8385(a,1),9230(a,1,2))]. given #8762 (H,wt=18): 9254 L(x,(1 / y) \ z,u) != w | L(x,y * z,u) = w. [para(2000(a,1),9236(a,1,2))]. given #8763 (H,wt=18): 9256 L(x,T(y * z,z),u) != w | L(x,z * y,u) = w. [para(2915(a,1),9236(a,1,2))]. given #8764 (H,wt=16): 9262 L(x,y * z,z) != u | L(x,z * y,z) = u. [para(9007(a,1),9256(a,1))]. given #8765 (H,wt=18): 9259 L(x,(y \ 1) \ z,u) != w | L(x,y * z,u) = w. [para(2463(a,1),9254(a,1))]. given #8766 (H,wt=18): 9260 L(x,T(y,z),u) != w | L(x,z * (y / z),u) = w. [para(2920(a,2),9254(a,1,2))]. given #8767 (H,wt=19): 9249 a(x,y,1 / (T(z,u) / u)) = a(x,y,T(u / z,u)). [para(4276(a,2),9248(a,1,3))]. given #8768 (H,wt=19): 9265 a(x,y,(T(z,u) / u) \ 1) = a(x,y,T(u / z,u)). [hyper(58,a,2601,a(flip),b,9249,a)]. given #8769 (H,wt=20): 9206 L(x,y * (z * L(u,w,w)),v5) = L(x,y * (z * u),v5). [para(8390(a,1),9191(a,1,2))]. given #8770 (H,wt=19): 9268 L(x,y * ((z \ 1) * u),w) = L(x,y * (z \ u),w). [para(2030(a,1),9206(a,1,2,2)),flip(a)]. given #8771 (H,wt=20): 9231 a(x,y,z * L(u,w,w)) = x * L(x \ 1,z * u,y). [hyper(114,a,9205,a(flip),b,1184,a(flip)),flip(a)]. given #8772 (H,wt=16): 9271 a(x,y,z * L(u,w,w)) = a(x,y,z * u). [hyper(272,a,1178,a,b,9231,a),flip(a)]. given #8773 (H,wt=15): 9272 a(x,y,(z \ 1) * u) = a(x,y,z \ u). [para(2030(a,1),9271(a,1,3)),flip(a)]. given #8774 (H,wt=15): 9274 a(x,y,(z \ 1) * (z * u)) = a(x,y,u). [para(4(a,1),9272(a,2,3))]. given #8775 (H,wt=15): 9275 a(x,y,z * ((1 / z) * u)) = a(x,y,u). [para(74(a,1),9274(a,1,3,1))]. given #8776 (H,wt=15): 9276 a(x,y,z * (u / z)) = a(x,y,T(u,z)). [para(3576(a,1),9274(a,1,3))]. given #8777 (H,wt=15): 9277 a(x,y,z * (1 / u)) = a(x,y,z / u). [para(3537(a,1),9275(a,1,3))]. given #8778 (H,wt=15): 9278 a(x,y,T(z * u,z)) = a(x,y,u * z). [para(2806(a,1),9276(a,1,3)),flip(a)]. given #8779 (H,wt=19): 9279 a(x,y,z / T(u,z \ 1)) = a(x,y,(1 / u) * z). [para(4195(a,2),9278(a,1,3))]. given #8780 (H,wt=20): 9263 L(x,(y * z) * z,u) != w | L(x,z * (z * y),u) = w. [para(3503(a,1),9259(a,1,2))]. given #8781 (H,wt=21): 9207 L(x,(1 / y) * z,(1 / u) * w) = L(x,y \ z,u \ w). [hyper(272,a,8939,a(flip),b,9194,a),flip(a)]. given #8782 (H,wt=21): 9220 L(x,(K(y,z) * u) \ w,v5) = L(x,(u \ K(y,z)) * w,v5). [para(5631(a,1),9211(a,1,2,1))]. given #8783 (H,wt=21): 9222 L(x,(y \ 1) * z,(u \ 1) * w) = L(x,y \ z,u \ w). [hyper(272,a,8989,a(flip),b,9218,a),flip(a)]. given #8784 (H,wt=21): 9251 L(x,((1 / y) / z) * u,w) = L(x,(y \ (z \ 1)) * u,w). [hyper(58,a,9228,a(flip),b,9229,a),flip(a)]. given #8785 (H,wt=21): 9270 L(x,y * ((z \ 1) / u),w) = L(x,y * (z \ (u \ 1)),w). [hyper(58,a,9232,a(flip),b,9268,a)]. given #8786 (H,wt=21): 9273 a(x,y,z * (T(u,u \ w) / w)) = a(x,y,z * (w \ u)). [para(5727(a,1),9271(a,1,3,2))]. given #8787 (H,wt=21): 9282 L(x,(y \ 1) * z,(y \ 1) * z) = L(x,z / y,z / y). [hyper(272,a,6982,a,b,9222,a),flip(a)]. given #8788 (H,wt=22): 9200 L(x,(y \ z) * L(u,y,y),w) = L(x,((1 / y) * z) * u,w). [para(5938(a,1),9189(a,1,2))]. given #8789 (H,wt=22): 9255 L(x,y * ((z \ 1) \ u),w) != v5 | L(x,y * (z * u),w) = v5. [para(2002(a,1),9236(a,1,2,2))]. given #8790 (H,wt=22): 9257 L(x,y * (z / u),w) != v5 | L(x,y * (z * (u \ 1)),w) = v5. [para(3112(a,1),9236(a,1,2,2))]. given #8791 (H,wt=22): 9283 L(x,((1 / y) * z) * u,w) != v5 | L(x,(y \ z) * u,w) = v5. [para(9200(a,1),9236(a,1))]. given #8792 (H,wt=23): 9210 L(x,(((y \ 1) \ 1) \ z) * u,w) = L(x,((z \ 1) * y) \ u,w). [para(4148(a,1),9194(a,1,2,1))]. given #8793 (H,wt=23): 9221 L(x,T(y,z),(K(y,u) * z) \ 1) = L(x,y,(K(y,u) * z) \ 1). [para(5367(a,1),9214(a,1,2))]. given #8794 (H,wt=21): 9285 L(x,T(y,z),z \ K(y,u)) = L(x,y,(K(y,u) * z) \ 1). [para(5610(a,1),9221(a,1,3))]. given #8795 (H,wt=19): 9286 L(x,T(y,z),z \ K(y,u)) = L(x,y,z \ K(y,u)). [para(5610(a,1),9285(a,2,3))]. given #8796 (H,wt=15): 9287 L(x,y,z \ K(y,z)) = L(x,y,z \ 1). [hyper(58,a,9213,a(flip),b,9286,a),flip(a)]. given #8797 (H,wt=23): 9224 L(x,((y \ (z \ 1)) \ u) \ 1,w) = L(x,u \ ((1 / y) / z),w). [para(4904(a,2),9218(a,1,2))]. given #8798 (H,wt=23): 9252 L(x,y * (z * ((u \ 1) * w)),v5) = L(x,y * (z / (w \ u)),v5). [hyper(58,a,4102,a(flip),b,9232,a)]. given #8799 (H,wt=23): 9266 L(x,y * (z * ((1 / u) * w)),v5) = L(x,y * (z * (u \ w)),v5). [para(1996(a,1),9206(a,1,2,2,2)),flip(a)]. given #8800 (H,wt=23): 9267 L(x,y * (z * ((u \ 1) \ w)),v5) = L(x,y * (z * (u * w)),v5). [para(2002(a,1),9206(a,1,2,2,2))]. given #8801 (H,wt=23): 9269 L(x,y * (z * (u * (w \ 1))),v5) = L(x,y * (z * (u / w)),v5). [para(3112(a,1),9206(a,1,2,2,2)),flip(a)]. given #8802 (H,wt=19): 9290 L(x,y * (z * (u / z)),w) = L(x,y * T(u,z),w). [para(2843(a,2),9269(a,1,2,2)),flip(a)]. given #8803 (H,wt=19): 9291 L(x,y * T(z * u,z),w) = L(x,y * (u * z),w). [para(2806(a,1),9290(a,1,2,2)),flip(a)]. given #8804 (H,wt=21): 9293 L(x,(y / z) * (u * (z / u)),w) = L(x,y * K(z,u),w). [para(3668(a,1),9290(a,2,2))]. given #8805 (H,wt=19): 9294 L(x,y * K(z,z \ u),w) = L(x,y * K(u,z),w). [para(8081(a,1),9293(a,1,2))]. given #8806 (H,wt=23): 9280 a(x,y,z / (T(z,z \ 1) * u)) = a(x,y,(1 / (u * z)) * z). [para(4043(a,1),9279(a,1,3,2))]. given #8807 (H,wt=21): 9295 a(x,y,(1 / z) / (z \ u)) = a(x,y,(1 / (u * z)) * z). [para(6411(a,1),9280(a,1,3))]. given #8808 (H,wt=23): 9281 L(x,(y * y) \ z,(1 / u) * w) = L(x,y \ (y \ z),u \ w). [para(3261(a,1),9207(a,1,2))]. given #8809 (H,wt=23): 9288 L(x,y * (z * ((u \ 1) * w)),v5) = L(x,y * (z * (u \ w)),v5). [hyper(58,a,2471,a(flip),b,9266,a)]. given #8810 (H,wt=21): 9297 L(x,y * (z / (u \ w)),v5) = L(x,y * (z * (w \ u)),v5). [hyper(58,a,9252,a(flip),b,9288,a)]. given #8811 (H,wt=23): 9298 L(x,y * (z * (u \ ((u \ 1) \ w))),v5) = L(x,y * (z * w),v5). [para(5(a,1),9288(a,1,2,2,2)),flip(a)]. given #8812 (H,wt=23): 9302 L(x,y * (z * (u * ((1 / u) * w))),v5) = L(x,y * (z * w),v5). [para(3501(a,1),9298(a,1,2,2,2))]. given #8813 (H,wt=24): 9216 L(L(x,y \ (z \ (y \ 1)),y),(y \ 1) / z,y \ 1) = L(x,y,y). [hyper(272,a,7699,a(flip),b,9215,a),flip(a)]. given #8814 (H,wt=24): 9261 L(x,(K(y,z) * u) \ w,v5) != v6 | L(x,(u \ K(y,z)) * w,v5) = v6. [para(5631(a,1),9254(a,1,2,1))]. given #8815 (H,wt=24): 9284 L(x,((1 / y) / z) * u,w) != v5 | L(x,(y \ (z \ 1)) * u,w) = v5. [para(9229(a,1),9283(a,1))]. given #8816 (H,wt=25): 9233 L(x,(y * y) * z,(u * u) * w) = L(x,y * (y * z),u * (u * w)). [hyper(272,a,8932,a(flip),b,9198,a),flip(a)]. given #8817 (H,wt=25): 9258 L(x,(y \ z) * L(u,w,w),v5) != v6 | L(x,((1 / y) * z) * u,v5) = v6. [para(9228(a,1),9236(a,1))]. given #8818 (H,wt=25): 9292 L(x,y * T(K(z,u \ 1),u),w) = L(x,y * (u * T(1 / u,z)),w). [para(2715(a,1),9290(a,1,2,2,2)),flip(a)]. given #8819 (H,wt=23): 9304 L(x,y * T(K(z,u \ 1),u),w) = L(x,y * K(u,u \ z),w). [para(3551(a,1),9292(a,2,2,2))]. given #8820 (H,wt=21): 9305 L(x,y * K(z,z \ u),w) = L(x,y * K(u,1 / z),w). [para(5251(a,1),9304(a,1,2,2)),flip(a)]. given #8821 (H,wt=21): 9306 L(x,y * K(z,u \ 1),w) = L(x,y * K(u,u \ z),w). [para(2369(a,1),9305(a,2,2,2)),flip(a)]. given #8822 (H,wt=19): 9307 L(x,y * K(z,u \ 1),w) = L(x,y * K(z,u),w). [hyper(272,a,9294,a(flip),b,9306,a),flip(a)]. given #8823 (H,wt=19): 9308 L(x,y * K(z,u \ 1),w) = L(x,y * K(u,z),w). [para(28(a,1),9307(a,2,2,2))]. given #8824 (H,wt=25): 9296 L(x,(y * y) \ z,(u * u) \ w) = L(x,y \ (y \ z),u \ (u \ w)). [para(3261(a,1),9281(a,1,3))]. given #8825 (H,wt=25): 9301 x * L(x \ 1,y * (z * (u \ w)),v5) = a(x,v5,y * (z / (w \ u))). [hyper(114,a,9297,a(flip),b,1184,a(flip))]. given #8826 (H,wt=21): 9309 a(x,y,z * (u / (w \ v5))) = a(x,y,z * (u * (v5 \ w))). [hyper(1204,a,9301,a),flip(a)]. given #8827 (H,wt=19): 9311 a(x,y,z * (1 * (u \ w))) = a(x,y,z / (w \ u)). [hyper(58,a,9277,a(flip),b,9309,a),flip(a)]. given #8828 (H,wt=17): 9312 a(x,y,z / (u \ w)) = a(x,y,z * (w \ u)). [para(2(a,1),9311(a,1,3,2)),flip(a)]. given #8829 (H,wt=21): 9313 a(x,y,(1 / (z * u)) * u) = a(x,y,(1 / u) * (z \ u)). [hyper(58,a,9295,a(flip),b,9312,a)]. given #8830 (H,wt=19): 9315 a(x,y,(1 / (z * u)) * u) = a(x,y,u \ (z \ u)). [hyper(272,a,9243,a(flip),b,9313,a),flip(a)]. given #8831 (H,wt=17): 9316 a(x,y,(z * u) \ u) = a(x,y,u \ (z \ u)). [hyper(58,a,9243,a(flip),b,9315,a)]. given #8832 (H,wt=24): 9310 a(x,y,z * (u / (w \ v5))) != v6 | a(x,y,z * (u * (v5 \ w))) = v6. [para(9301(a,1),1204(a,1))]. given #8833 (H,wt=26): 9201 L(x,((y \ 1) * z) * L(u,y,y),w) = L(x,(((y \ 1) \ 1) \ z) * u,w). [para(5948(a,1),9189(a,1,2))]. given #8834 (H,wt=24): 9317 L(x,((y \ 1) * z) * L(u,y,y),w) = L(x,((z \ 1) * y) \ u,w). [hyper(272,a,9210,a(flip),b,9201,a),flip(a)]. given #8835 (H,wt=26): 9264 L(x,(y \ ((z \ y) \ 1)) \ u,w) != v5 | L(x,(z \ (y * y)) * u,w) = v5. [para(4563(a,1),9259(a,1,2,1))]. given #8836 (H,wt=29): 9045 L(x,y,(z \ (K(u,u \ 1) * w)) * v5) = L(x,y,((((u * z) \ 1) * u) * w) * v5). [para(5796(a,1),9033(a,1,3,1)),flip(a)]. given #8837 (H,wt=27): 9318 L(x,y,(z \ (K(u,u \ 1) * w)) * v5) = L(x,y,(((u * z) \ u) * w) * v5). [hyper(272,a,9153,a(flip),b,9045,a),flip(a)]. given #8838 (H,wt=27): 9319 L(x,y,((z \ u) * K(w,w \ 1)) * v5) = L(x,y,(((w * z) \ w) * u) * v5). [para(2142(a,1),9318(a,1,3,1))]. given #8839 (H,wt=27): 9320 L(x,y,(z \ u) * (w * K(v5,v5 \ 1))) = L(x,y,(((v5 * z) \ v5) * u) * w). [para(2129(a,1),9319(a,1,3))]. given #8840 (H,wt=21): 9321 L(x,y,(((z * u) \ z) * w) * v5) = L(x,y,(u \ w) * v5). [hyper(58,a,2453,a(flip),b,9320,a),flip(a)]. given #8841 (H,wt=21): 9323 L(x,y,((z \ u) \ w) * v5) = L(x,y,((u \ z) * w) * v5). [hyper(58,a,9155,a(flip),b,9321,a),flip(a)]. given #8842 (H,wt=27): 9325 L(x,y,((z \ u) * w) * T(v5,(u \ z) \ w)) = L(x,y,v5 * ((u \ z) \ w)). [para(98(a,1),9323(a,1,3)),flip(a)]. given #8843 (H,wt=27): 9327 L(x,y,((z \ u) * w) * T(v5,(z \ u) * w)) = L(x,y,v5 * ((u \ z) \ w)). [para(8614(a,1),9325(a,1,3,2))]. given #8844 (H,wt=21): 9328 L(x,y,z * ((u \ w) \ v5)) = L(x,y,z * ((w \ u) * v5)). [para(98(a,1),9327(a,1,3)),flip(a)]. given #8845 (H,wt=21): 9329 L(x,y,z * (((u * w) \ u) * v5)) = L(x,y,z * (w \ v5)). [para(4(a,1),9328(a,1,3,2,1)),flip(a)]. given #8846 (H,wt=21): 9331 L(x,y,z * ((u / w) \ v5)) = L(x,y,z * ((w / u) * v5)). [para(3309(a,1),9329(a,1,3,2,1)),flip(a)]. given #8847 (H,wt=23): 9333 L(x,y,z * (((u * w) / u) \ w)) = L(x,y,z * K(u,w \ 1)). [para(3355(a,1),9331(a,2,3,2))]. given #8848 (H,wt=19): 9334 L(x,y,z * K(u,w \ 1)) = L(x,y,z * K(w,u)). [para(2824(a,2),9333(a,1,3,2)),flip(a)]. given #8849 (H,wt=19): 9335 L(x,y,z * K(u,w \ 1)) = L(x,y,z * K(u,w)). [para(28(a,1),9334(a,2,3,2))]. given #8850 (H,wt=23): 9336 x * L(x \ 1,y,z * K(u,w)) = a(x,z * K(u,w \ 1),y). [hyper(114,a,9335,a(flip),b,1184,a(flip))]. given #8851 (H,wt=19): 9337 a(x,y * K(z,u \ 1),w) = a(x,y * K(z,u),w). [hyper(1204,a,9336,a),flip(a)]. given #8852 (H,wt=22): 9338 a(x,y * K(z,u \ 1),w) != v5 | a(x,y * K(z,u),w) = v5. [para(9336(a,1),1204(a,1))]. given #8853 (H,wt=25): 9332 L(x,y,((z * u) \ z) * ((w / v5) * v6)) = L(x,y,u \ ((v5 / w) \ v6)). [hyper(58,a,9090,a(flip),b,9331,a),flip(a)]. given #8854 (H,wt=21): 9339 L(x,y,z \ ((u / w) \ v5)) = L(x,y,z \ ((w / u) * v5)). [hyper(58,a,9090,a(flip),b,9332,a),flip(a)]. given #8855 (H,wt=27): 9330 L(x,y,z * (T(u \ w,v5) \ v5)) = L(x,y,z * ((w \ u) * T(v5,u \ w))). [para(2245(a,2),9328(a,1,3,2))]. given #8856 (H,wt=25): 9340 L(x,y,z * ((u \ w) * T(v5,w \ u))) = L(x,y,z * (v5 / (w \ u))). [hyper(58,a,9037,a(flip),b,9330,a),flip(a)]. given #8857 (H,wt=23): 9341 L(x,y,z * (u / ((w \ v5) \ 1))) = L(x,y,z * (u / (v5 \ w))). [para(4463(a,1),9340(a,1,3,2))]. given #8858 (H,wt=21): 9342 L(x,y,z * (u / (w \ v5))) = L(x,y,z * (u * (v5 \ w))). [hyper(58,a,9046,a(flip),b,9341,a),flip(a)]. given #8859 (H,wt=27): 9343 L(x,y,z * (u * (T(w,v5 \ 1) \ (1 / v5)))) = L(x,y,z * (u / (w * v5))). [para(2791(a,1),9342(a,1,3,2,2)),flip(a)]. given #8860 (H,wt=25): 9344 L(x,y,z * (u * ((1 / w) * (v5 \ 1)))) = L(x,y,z * (u / (v5 * w))). [para(3005(a,1),9343(a,1,3,2,2))]. given #8861 (H,wt=23): 9345 L(x,y,z * (u * (w \ (v5 \ 1)))) = L(x,y,z * (u / (v5 * w))). [hyper(58,a,9052,a(flip),b,9344,a)]. given #8862 (H,wt=29): 9166 T(x,T(K(y,z \ 1) * ((y * z) / u),w)) = T(x,T(T(y * z,z) * (u \ 1),w)). [para(3402(a,1),9165(a,1,2,1)),flip(a)]. given #8863 (H,wt=29): 9171 ((x * y) * (a(z,u,u) * w)) / (y * (a(z,u,u) * w)) = R(x,a(z,u,u) * y,w). [para(8371(a,1),8667(a,1,2))]. given #8864 (H,wt=19): 9346 R(x,a(y,z,z) * u,w) = R(x,u,a(y,z,z) * w). [hyper(457,a,9171,a),flip(a)]. given #8865 (H,wt=14): 9347 R(x,a(y,z,z) * u,w) = R(x,u,w). [hyper(272,a,8749,a(flip),b,9346,a),flip(a)]. given #8866 (H,wt=12): 9349 R(x,L(y,z,z),u) = R(x,y,u). [para(2505(a,2),9347(a,1,2))]. given #8867 (H,wt=12): 9350 R(x,L(y,z,y),u) = R(x,y,u). [para(3809(a,1),9347(a,1,2))]. given #8868 (H,wt=15): 9351 R(x,(y \ 1) \ z,u) = R(x,y * z,u). [para(2002(a,1),9349(a,1,2))]. given #8869 (H,wt=15): 9352 R(x,y * (z \ 1),u) = R(x,y / z,u). [para(3112(a,1),9349(a,1,2)),flip(a)]. given #8870 (H,wt=15): 9355 R(x,y * (1 / z),u) = R(x,y / z,u). [hyper(58,a,2478,a,b,9352,a)]. given #8871 (H,wt=15): 9357 R(x,y / (z \ 1),u) = R(x,y * z,u). [para(72(a,1),9355(a,1,2,2)),flip(a)]. given #8872 (H,wt=15): 9358 R(x,(y \ z) * y,u) = R(x,T(z,y),u). [para(678(a,2),9357(a,1,2)),flip(a)]. given #8873 (H,wt=15): 9359 R(x,y * (z / y),u) = R(x,T(z,y),u). [para(2828(a,1),9358(a,1,2))]. given #8874 (H,wt=17): 9353 R(x,(y \ z) * z,u) = R(x,z * (z / y),u). [para(3490(a,1),9349(a,1,2)),flip(a)]. given #8875 (H,wt=17): 9354 R(x,(y / z) * y,u) = R(x,y * (z \ y),u). [para(6218(a,1),9349(a,1,2)),flip(a)]. given #8876 (H,wt=19): 9356 R(x,y * (z \ (u \ z)),w) = R(x,y / T(u,z),w). [para(2999(a,1),9352(a,1,2,2))]. given #8877 (H,wt=29): 9178 T(x,(y \ (y \ z)) * (z * (y \ (y \ (y \ (y \ z)))))) = T(x,(y \ (y \ z)) \ 1). [para(7062(a,1),8700(a,1,2,2))]. given #8878 (H,wt=29): 9289 L(x,y * (T(z,u * (w \ 1)) * (u / w)),v5) = L(x,y * ((u * (w \ 1)) * z),v5). [para(2778(a,1),9269(a,1,2,2)),flip(a)]. given #8879 (H,wt=27): 9360 L(x,y * (T(z,u / w) * (u / w)),v5) = L(x,y * ((u * (w \ 1)) * z),v5). [para(5988(a,1),9289(a,1,2,2,1))]. given #8880 (H,wt=23): 9361 L(x,y * ((z * (u \ 1)) * w),v5) = L(x,y * ((z / u) * w),v5). [para(2778(a,1),9360(a,1,2,2)),flip(a)]. given #8881 (H,wt=23): 9362 L(x,y * ((z / (1 / u)) * w),v5) = L(x,y * ((z * u) * w),v5). [para(74(a,1),9361(a,1,2,2,1,2)),flip(a)]. given #8882 (H,wt=23): 9363 L(x,y * ((T(z,u) \ u) * w),v5) = L(x,y * ((u / z) * w),v5). [para(2935(a,2),9361(a,1,2,2,1))]. given #8883 (H,wt=25): 9364 L(x,y * (((z \ u) * u) * w),v5) = L(x,y * ((u * (u / z)) * w),v5). [para(3471(a,1),9362(a,1,2,2,1))]. given #8884 (H,wt=29): 9326 L(x,y,((z \ u) * w) * (T(v5,(u \ z) \ w) \ 1)) = L(x,y,v5 \ ((u \ z) \ w)). [para(3006(a,1),9323(a,1,3)),flip(a)]. given #8885 (H,wt=29): 9366 L(x,y,((z \ u) * w) * (T(v5,(z \ u) * w) \ 1)) = L(x,y,v5 \ ((u \ z) \ w)). [para(8614(a,1),9326(a,1,3,2,1))]. given #8886 (H,wt=21): 9367 L(x,y,z \ ((u \ w) \ v5)) = L(x,y,z \ ((w \ u) * v5)). [para(3006(a,1),9366(a,1,3)),flip(a)]. given #8887 (H,wt=23): 9368 L(x,y \ z,z \ ((z \ y) * 1)) = L(x,y \ z,z \ (y / z)). [hyper(58,a,9159,a(flip),b,9367,a),flip(a)]. given #8888 (H,wt=21): 9369 L(x,y \ z,z \ (y / z)) = L(x,y \ z,z \ (z \ y)). [para(3(a,1),9368(a,1,3,2)),flip(a)]. given #8889 (H,wt=30): 8272 L(x,y,z) \ ((u / x) \ (L(x,y,z) * (x \ u))) = x \ (x * a(z,y,K(x \ u,x))). [para(8259(a,1),6552(a,2,2))]. given #8890 (H,wt=28): 9370 L(x,y,z) \ T(L(x,y,z) * K(u,x),u) = x \ (x * a(z,y,K(x \ u,x))). [para(8326(a,1),8272(a,1,2))]. given #8891 (H,wt=23): 9371 x \ (x * a(y,z,K(x \ u,x))) = K(L(x,z,y),u) * K(u,x). [hyper(58,a,4614,a(flip),b,9370,a),flip(a)]. given #8892 (H,wt=19): 9372 x \ (x * a(y,z,K(x \ u,x))) = a(y,z,K(u,x)). [hyper(272,a,8248,a(flip),b,9371,a),flip(a)]. given #8893 (H,wt=15): 9373 a(x,y,K(z \ u,z)) = a(x,y,K(u,z)). [hyper(287,a,9372,a)]. given #8894 (H,wt=15): 9376 a(x,y,K(z * u,z)) = a(x,y,K(u,z)). [para(4(a,1),9373(a,1,3,1)),flip(a)]. given #8895 (H,wt=10): 9380 a(x * y,z,K(y,x)) = 1. [hyper(58,a,4316,a(flip),b,9376,a),flip(a)]. given #8896 (H,wt=12): 9381 L(K(x,y),z,y * x) = K(x,y). [hyper(47,a,9380,a)]. given #8897 (H,wt=17): 9374 K(x,y * (L(y,z,u) \ x)) = a(u,z,K(x,y)). [hyper(58,a,8876,a,b,9373,a)]. given #8898 (H,wt=11): 9385 a(x,y,a(z,u,K(y,w))) = 1. [para(9374(a,1),2665(a,1,3))]. given #8899 (H,wt=17): 9377 a(x,y,K(z \ 1,u)) = a(x,y,K(z \ u,u)). [para(2669(a,1),9373(a,1,3))]. given #8900 (H,wt=17): 9378 a(x,y,K(z,u \ z)) = a(x,y,K(u,u \ z)). [para(2894(a,1),9373(a,1,3)),flip(a)]. given #8901 (H,wt=17): 9379 a(x,y,K(z,z \ u)) = 1 / a(x,y,K(u,z)). [para(9373(a,1),7947(a,1,2)),flip(a)]. given #8902 (H,wt=15): 9386 a(x,y,K(z,z \ u)) = a(x,y,K(z,u)). [hyper(272,a,7947,a(flip),b,9379,a),flip(a)]. given #8903 (H,wt=15): 9387 a(x,y,K(z,u \ z)) = a(x,y,K(u,z)). [hyper(58,a,9378,a,b,9386,a)]. given #8904 (H,wt=15): 9388 a(x,y,K(z \ u,u)) = a(x,y,K(u,z)). [para(4454(a,1),9387(a,1,3)),flip(a)]. given #8905 (H,wt=15): 9389 a(x,y,K(z \ 1,u)) = a(x,y,K(u,z)). [hyper(58,a,9377,a,b,9388,a)]. given #8906 (H,wt=15): 9390 a(x,y,K(z,u \ 1)) = a(x,y,K(z,u)). [para(28(a,1),9389(a,1,3))]. given #8907 (H,wt=17): 9384 K(x,x * (L(y,z,u) \ y)) = a(u,z,K(x,y)). [hyper(58,a,8170,a(flip),b,9374,a)]. given #8908 (H,wt=19): 9383 K(x,y) * ((y * x) * z) = (y * x) * (K(x,y) * z). [para(9381(a,1),7988(a,1,1))]. given #8909 (H,wt=20): 9382 L(K(x,y),z,y * x) = K(x,u \ (x \ (u * (y * x)))). [hyper(272,a,8056,a,b,9381,a),flip(a)]. given #8910 (H,wt=21): 9392 K(x * (L(y,z,u) \ y),x) = w / (a(u,z,K(x,y)) * w). [para(9384(a,1),3883(a,1,2,1)),flip(a)]. given #8911 (H,wt=17): 9396 K(x * (L(y,z,u) \ y),x) = a(u,z,K(y,x)). [hyper(272,a,7949,a(flip),b,9392,a),flip(a)]. given #8912 (H,wt=21): 9397 a(x,y,K(L(z,u,w) \ z,v5)) = a(x,y,a(w,u,K(z,v5))). [para(9396(a,1),9376(a,1,3)),flip(a)]. given #8913 (H,wt=13): 9398 a(x,y,K(L(y,z,u) \ y,w)) = 1. [hyper(272,a,9385,a(flip),b,9397,a),flip(a)]. given #8914 (H,wt=17): 9399 K(L(x,y,z) \ x,u) = K(a(z,y,x),u) * 1. [para(9398(a,1),7923(a,1,2)),flip(a)]. given #8915 (H,wt=15): 9400 K(L(x,y,z) \ x,u) = K(a(z,y,x),u). [hyper(272,a,3,a(flip),b,9399,a),flip(a)]. given #8916 (H,wt=19): 9402 K(x,L(y,z,u) \ y) = w / (K(a(u,z,y),x) * w). [para(9400(a,1),3883(a,1,2,1)),flip(a)]. given #8917 (H,wt=15): 9403 K(x,L(y,z,u) \ y) = K(x,a(u,z,y)). [hyper(272,a,3883,a(flip),b,9402,a),flip(a)]. given #8918 (H,wt=17): 9405 T(x,L(y,z,u) \ y) = x * K(x,a(u,z,y)). [hyper(114,a,9403,a(flip),b,2672,a(flip)),flip(a)]. given #8919 (H,wt=15): 9406 T(x,L(y,z,u) \ y) = T(x,a(u,z,y)). [hyper(272,a,2674,a,b,9405,a),flip(a)]. given #8920 (H,wt=22): 9404 K(x,L(y,z,u) \ y) != w \ v5 | w * K(x,a(u,z,y)) = v5. [para(9402(a,2),3898(a,2)),flip(a)]. given #8921 (H,wt=24): 9395 L(K(x,y),z,y * x) = K(x,((u / w) * w) \ (x \ (u * (y * x)))). [para(135(a,1),9382(a,2,2,2,2))]. given #8922 (H,wt=24): 9407 L(K(x,y),z,y * x) = K(x,((u / w) * (w * x)) \ (u * (y * x))). [hyper(272,a,7072,a,b,9395,a),flip(a)]. given #8923 (H,wt=19): 9408 K(x,((y / z) * (z * x)) \ (y * (u * x))) = K(x,u). [hyper(318,a,9407,a),flip(a)]. given #8924 (H,wt=19): 9409 (x * K(y,z)) * (z * y) = (x * (z * y)) * K(y,z). [hyper(114,a,9408,a(flip),b,7376,a(flip)),flip(a)]. given #8925 (H,wt=15): 9410 (x * K(y,z)) * (z * y) = x * (y * z). [hyper(272,a,8063,a(flip),b,9409,a),flip(a)]. given #8926 (H,wt=15): 9411 (x / (y * z)) * K(y,z) = x / (z * y). [hyper(113,a,7,a(flip),b,9410,a),flip(a)]. given #8927 (H,wt=17): 9412 (x * T(y,z)) * (y * z) = (x * y) * (z * y). [para(3659(a,1),9410(a,1,1))]. given #8928 (H,wt=17): 9414 ((1 / x) * y) * (x * y) = (y / x) * (y * x). [para(2780(a,1),9412(a,1,1)),flip(a)]. given #8929 (H,wt=19): 9416 (x * ((1 / y) \ x)) / y = ((1 / y) * x) * (y * x). [hyper(272,a,5916,a,b,9414,a)]. given #8930 (H,wt=17): 9417 x \ (y * ((x * y) * x)) = y * ((1 / x) \ y). [hyper(772,a,9416,a)]. given #8931 (H,wt=17): 9418 x * (y * ((1 / x) \ y)) = y * ((x * y) * x). [hyper(127,a,9417,a)]. given #8932 (H,wt=18): 9421 K(x,y * ((z * y) * z)) = a(x,y * z,y * z). [para(9418(a,1),6512(a,1,2))]. given #8933 (H,wt=16): 9423 a(x,x * y,x * y) = K(x,y * (y / x)). [hyper(58,a,8107,a(flip),b,9421,a),flip(a)]. given #8934 (H,wt=16): 9424 a(x,x * y,x * y) = K(x,y * (x \ y)). [hyper(272,a,5378,a(flip),b,9423,a),flip(a)]. given #8935 (H,wt=19): 9419 (x * y) * ((1 / x) \ y) = y * (x * ((1 / y) \ x)). [hyper(272,a,6711,a,b,9418,a)]. given #8936 (H,wt=21): 9420 x * (((y \ 1) * x) * (y \ 1)) = (y \ 1) * (x * (y \ x)). [para(72(a,1),9418(a,1,2,2,1)),flip(a)]. given #8937 (H,wt=17): 9426 (x \ 1) * (y * (x \ y)) = y * ((x \ y) / x). [para(4517(a,1),9420(a,1,2)),flip(a)]. given #8938 (H,wt=23): 9427 (x \ 1) * (((x * y) \ 1) / y) = (1 / y) * ((x \ (1 / y)) / x). [para(4625(a,1),9426(a,1,2))]. given #8939 (H,wt=21): 9429 (1 / x) * ((y \ (1 / x)) / y) = (x \ (y \ (1 / x))) / y. [hyper(7607,a,9427,a),flip(a)]. given #8940 (H,wt=19): 9431 x * ((x \ (y \ (1 / x))) / y) = (y \ (1 / x)) / y. [para(9429(a,1),7237(a,1,2))]. given #8941 (H,wt=19): 9432 (x \ (y \ (1 / x))) / y = x \ ((y \ (1 / x)) / y). [hyper(117,a,9431,a),flip(a)]. given #8942 (H,wt=22): 9433 x * ((x \ (y \ (1 / x))) / y) != z | (y \ (1 / x)) / y = z. [para(9432(a,2),230(a,1,2))]. given #8943 (H,wt=23): 9428 (x \ 1) * (((x * y) \ 1) / y) = (y \ 1) * ((x \ (y \ 1)) / x). [para(5111(a,1),9426(a,1,2))]. given #8944 (H,wt=23): 9430 ((x \ (y \ (1 / x))) / y) / x = x \ (x \ (y \ ((1 / x) / y))). [para(9429(a,1),6725(a,1,1))]. given #8945 (H,wt=23): 9434 (x \ 1) * ((x * y) \ (1 / y)) = (y \ 1) * (((y * x) \ 1) / x). [para(4858(a,1),9428(a,2,2)),flip(a)]. given #8946 (H,wt=21): 9436 (x \ 1) * ((x * y) \ (1 / y)) = (x \ (y \ (1 / x))) / y. [hyper(272,a,7606,a(flip),b,9434,a),flip(a)]. given #8947 (H,wt=21): 9437 (x \ 1) * ((x * y) \ (1 / y)) = x \ ((y \ (1 / x)) / y). [hyper(272,a,9432,a(flip),b,9436,a),flip(a)]. given #8948 (H,wt=21): 9438 x * ((x \ (y \ (1 / x))) / y) = T(y \ ((x \ 1) / y),x). [para(9436(a,1),6730(a,1,2))]. given #8949 (H,wt=17): 9440 T(x \ ((y \ 1) / x),y) = (x \ (1 / y)) / x. [hyper(9433,a,9438,a),flip(a)]. given #8950 (H,wt=19): 9441 ((x \ (1 / y)) / x) * y = y * (x \ ((y \ 1) / x)). [para(9440(a,1),2778(a,1,1))]. given #8951 (H,wt=23): 9435 (x \ ((y \ (1 / x)) / y)) / x = x \ (x \ (y \ ((1 / x) / y))). [para(9432(a,1),9430(a,1,1))]. given #8952 (H,wt=23): 9439 (x * x) \ ((x * y) \ (1 / y)) = x \ (x \ ((y \ (1 / x)) / y)). [hyper(112,a,9437,a(flip),b,3527,a),flip(a)]. given #8953 (H,wt=25): 9425 T(x,y * (z * (u * ((1 / z) \ u)))) = T(x,y * ((u * z) * (u * z))). [para(9419(a,1),8683(a,1,2,2))]. given #8954 (H,wt=23): 9442 T(x,y * ((z * u) * (z * u))) = T(x,y * (u * (z * (u * z)))). [hyper(58,a,8867,a(flip),b,9425,a),flip(a)]. given #8955 (H,wt=27): 9391 (x * K(L(y,z,u) \ y,x)) \ L(x,L(y,z,u) \ y,x) = a(u,z,K(x,y)). [hyper(58,a,4586,a,b,9384,a)]. given #8956 (H,wt=25): 9444 (x * K(L(y,z,u) \ y,x)) \ L(x,a(u,z,y),x) = a(u,z,K(x,y)). [para(8786(a,1),9391(a,1,2))]. given #8957 (H,wt=25): 9445 K(x,L(y,z,u) \ y) * (x \ L(x,a(u,z,y),x)) = a(u,z,K(x,y)). [hyper(4292,a,9444,a)]. given #8958 (H,wt=23): 9446 x \ L(T(x,L(y,z,u) \ y),a(u,z,y),x) = a(u,z,K(x,y)). [hyper(58,a,6336,a(flip),b,9445,a)]. given #8959 (H,wt=21): 9447 x \ L(T(x,a(y,z,u)),a(y,z,u),x) = a(y,z,K(x,u)). [para(9406(a,1),9446(a,1,2,1))]. given #8960 (H,wt=15): 9448 K(x,x * a(y,z,u)) = a(y,z,K(x,u)). [hyper(3087,a,9447,a)]. given #8961 (H,wt=27): 9443 T(x,y * (z * ((u \ 1) * (z * (u \ 1))))) = T(x,y * ((u \ z) * (u \ z))). [para(5857(a,1),9442(a,1,2,2)),flip(a)]. given #8962 (H,wt=23): 9449 T(x,y * ((z \ u) * (z \ u))) = T(x,y * (u * (z \ (u / z)))). [para(1137(a,1),9443(a,1,2,2,2)),flip(a)]. given #8963 (H,wt=25): 9450 x \ T(x,y * (z * (u \ (z / u)))) = K(x,y * ((u \ z) * (u \ z))). [hyper(112,a,9449,a(flip),b,2674,a(flip))]. given #8964 (H,wt=23): 9452 K(x,y * ((z \ u) * (z \ u))) = K(x,y * (u * (z \ (u / z)))). [hyper(2691,a,9450,a),flip(a)]. given #8965 (H,wt=29): 9415 ((x * y) \ T(y,z)) * (T(y,z) / (x * y)) = ((K(y,z) * x) * (y * x)) \ T(y,z). [para(9412(a,1),6967(a,1,1)),flip(a)]. given #8966 (H,wt=30): 8662 T(x,y * ((z * (u * ((w \ u) \ 1))) * v5)) = T(x,y * ((z / (L(w,u,u) \ 1)) * v5)). [para(4950(a,1),8576(a,1,2,2,1,2))]. given #8967 (H,wt=30): 8714 T(x,y * ((z \ (((z * u) * w) / z)) * v5)) = T(x,y * ((L(u,z,z) * (w / z)) * v5)). [para(3141(a,1),8656(a,1,2,2,1)),flip(a)]. given #8968 (H,wt=28): 9453 T(x,y * ((L(z,u,u) * (w / u)) * v5)) = T(x,y * ((z * (w * (u \ 1))) * v5)). [para(1132(a,1),8714(a,1,2,2,1)),flip(a)]. given #8969 (H,wt=25): 9454 T(x,y * ((z * (u * (w \ 1))) * v5)) = T(x,y * ((z * (u / w)) * v5)). [hyper(58,a,8497,a(flip),b,9453,a),flip(a)]. given #8970 (H,wt=23): 9458 T(x,y * ((z \ (u * u)) * w)) = T(x,y * ((u * (u / z)) * w)). [para(3290(a,1),9454(a,1,2,2,1))]. given #8971 (H,wt=27): 9456 T(x,y * ((z \ (u * (w \ 1))) * v5)) = T(x,y * (((z \ 1) * (u / w)) * v5)). [hyper(58,a,8842,a(flip),b,9454,a)]. given #8972 (H,wt=25): 9459 T(x,y * ((z \ (u * (w \ 1))) * v5)) = T(x,y * ((z \ (u / w)) * v5)). [hyper(272,a,8842,a(flip),b,9456,a),flip(a)]. given #8973 (H,wt=23): 9460 T(x,y * (z \ ((z / u) * w))) = T(x,y * ((u \ (w / z)) * z)). [hyper(58,a,9170,a(flip),b,9459,a)]. given #8974 (H,wt=28): 9457 T(x,y * ((z / (L(u,w,w) \ 1)) * v5)) = T(x,y * ((z * (w / (u \ w))) * v5)). [hyper(58,a,8662,a(flip),b,9454,a)]. given #8975 (H,wt=24): 9461 T(x,y * ((z / (L(u,w,w) \ 1)) * v5)) = T(x,y * ((z * u) * v5)). [para(72(a,1),9457(a,2,2,2,1,2))]. given #8976 (H,wt=30): 9303 L(x,y * (z * (((u \ 1) * w) * L(v5,u,u))),v6) = L(x,y * (z * ((u \ w) * v5)),v6). [para(7634(a,1),9302(a,1,2,2,2))]. given #8977 (H,wt=31): 8370 (x * (a(y,y,z) * (x * a(y,y,z)))) \ (u * (x * a(y,y,z))) = u / (x * a(y,y,z)). [para(8348(a,1),3263(a,1,1))]. given #8978 (H,wt=21): 9463 (x * x) \ (y * (x * a(z,z,u))) = y / (x * a(z,z,u)). [para(5676(a,1),8370(a,1,1,2))]. given #8979 (H,wt=17): 9464 x / (y * a(z,z,u)) = (x / y) * a(z,z,u). [hyper(58,a,8640,a(flip),b,9463,a),flip(a)]. given #8980 (H,wt=19): 9465 (x / y) * a(z,z,T(u,w)) = x / (y * a(u,z,z)). [para(5665(a,1),9464(a,1,2,2)),flip(a)]. given #8981 (H,wt=17): 9466 x / (y * a(z,u,u)) = (x / y) * a(z,u,u). [para(5665(a,1),9465(a,1,2)),flip(a)]. given #8982 (H,wt=15): 9467 (x / y) * a(y,z,z) = x / L(y,z,z). [para(4247(a,1),9466(a,1,2)),flip(a)]. given #8983 (H,wt=14): 9469 K(x,y / L(z,u,u)) = K(x,y / z). [para(9467(a,1),8446(a,1,2))]. given #8984 (H,wt=14): 9470 T(x,y / L(z,u,u)) = T(x,y / z). [para(9467(a,1),8454(a,1,2))]. given #8985 (H,wt=15): 9468 a(x,y,y) * (z / x) = z / L(x,y,y). [hyper(5604,a,9467,a)]. given #8986 (H,wt=16): 9471 R(x,y,z / L(u,w,w)) = R(x,y,z / u). [para(9467(a,1),8747(a,1,3))]. given #8987 (H,wt=16): 9473 T(x,y * (1 / L(z,u,u))) = T(x,y / z). [hyper(6114,a,9470,a)]. given #8988 (H,wt=17): 9474 T(x,y / (z / (1 / u))) = T(x,y / (z * u)). [para(2020(a,1),9470(a,1,2,2)),flip(a)]. given #8989 (H,wt=17): 9475 T(x,y / T(z,u \ 1)) = T(x,y / T(z,u)). [para(2792(a,1),9470(a,1,2,2))]. given #8990 (H,wt=17): 9477 L(x,y,y) \ (z / L(x,y,y)) = x \ (z / x). [hyper(112,a,9468,a(flip),b,4779,a)]. given #8991 (H,wt=19): 9472 K(x,y / ((z * z) * u)) = K(x,y / (u * (z * z))). [para(3635(a,1),9469(a,1,2,2)),flip(a)]. given #8992 (H,wt=19): 9478 T(x,y * ((z \ 1) * (1 / u))) = T(x,y / (u * z)). [para(4186(a,1),9473(a,1,2,2))]. given #8993 (H,wt=17): 9483 T(x,y * ((z \ 1) / u)) = T(x,y / (u * z)). [hyper(58,a,8550,a(flip),b,9478,a)]. given #8994 (H,wt=17): 9484 T(x,y * (z \ (1 / u))) = T(x,y / (u * z)). [hyper(58,a,8519,a(flip),b,9478,a)]. given #8995 (H,wt=19): 9479 T(x,y / ((z * u) * u)) = T(x,y / (u * (u * z))). [para(3574(a,1),9474(a,1,2,2)),flip(a)]. given #8996 (H,wt=19): 9480 T(x,y / ((z * u) * z)) = T(x,y / (z * (u * z))). [para(3589(a,1),9474(a,1,2,2)),flip(a)]. given #8997 (H,wt=19): 9485 K(x,y * ((z \ 1) / u)) = x \ T(x,y / (u * z)). [hyper(112,a,9483,a(flip),b,2674,a(flip)),flip(a)]. given #8998 (H,wt=17): 9489 K(x,y * ((z \ 1) / u)) = K(x,y / (u * z)). [hyper(272,a,2672,a,b,9485,a),flip(a)]. given #8999 (H,wt=17): 9491 K(x,y / (z * (1 / u))) = K(x,y * (u / z)). [para(74(a,1),9489(a,1,2,2,1)),flip(a)]. given #9000 (H,wt=19): 9490 K(x,y * ((z \ 1) * (1 / u))) = K(x,y / (u * z)). [hyper(58,a,8499,a,b,9489,a)]. given #9001 (H,wt=20): 9481 x \ L(y / L(x,z,z),z,z) = L(x \ (y / x),z,z). [para(9477(a,1),6503(a,1,1)),flip(a)]. given #9002 (H,wt=17): 9493 L(x \ (y / x),z,z) = x \ (L(y,z,z) / x). [para(6498(a,1),9481(a,1,2)),flip(a)]. given #9003 (H,wt=23): 9492 K(x,y * (((z * u) * w) / z)) = K(x,y * (z * (u * (w / z)))). [hyper(58,a,8915,a(flip),b,9491,a),flip(a)]. given #9004 (H,wt=21): 9494 K(x,y * (y * (z * (u / y)))) = K(x,T((y * z) * u,y)). [hyper(58,a,6070,a(flip),b,9492,a),flip(a)]. given #9005 (H,wt=25): 9476 (L(x,y,y) \ 1) \ (((x \ 1) * z) * u) = (z * (u * x)) / L(x,y,y). [hyper(58,a,7305,a,b,9468,a)]. given #9006 (H,wt=25): 9487 T(x,y / (z * ((u / w) * (1 / u)))) = T(x,y * ((u * (w / u)) / z)). [para(5062(a,1),9483(a,1,2,2,1)),flip(a)]. given #9007 (H,wt=25): 9488 K(x,y) * T(T(x,y),z / (u * w)) = T(x,T(z * ((w \ 1) / u),y)). [para(9483(a,1),5429(a,1,2))]. given #9008 (H,wt=21): 9495 T(x,T(y * ((z \ 1) / u),w)) = T(x,T(y / (u * z),w)). [hyper(5431,a,9488,a),flip(a)]. given #9009 (H,wt=23): 9496 T(x,T(y / (z * K(u,w)),v5)) = T(x,T(y * (K(u,w) / z),v5)). [para(2879(a,1),9495(a,1,2,1,2,1)),flip(a)]. given #9010 (H,wt=28): 9486 T(x,y * ((z \ 1) / (L(u,z,z) * (w / z)))) = T(x,y / (z \ ((z * u) * w))). [para(3121(a,1),9483(a,2,2,2))]. given #9011 (H,wt=31): 8397 (a(x,y,x) * (z * (u * w))) \ (((a(x,y,x) * z) * u) * w) = a(a(x,y,x) * z,u,w). [para(8391(a,1),9(a,2,1)),flip(a)]. given #9012 (H,wt=31): 8517 T(x,y * (T(z,u) * ((1 / w) * (u \ (1 / w))))) = T(x,y * (w \ (u \ ((1 / w) * z)))). [para(6946(a,2),8480(a,1,2,2))]. given #9013 (H,wt=29): 9498 T(x,y * (T(z,u) * (((u * w) \ 1) / w))) = T(x,y * (w \ (u \ ((1 / w) * z)))). [para(4625(a,1),8517(a,1,2,2,2))]. given #9014 (H,wt=31): 8538 T(x,T(y,z) * (a(T(y,y \ z) \ 1,u,w) * v5)) = T(x,L(T(y,y \ z),w,u) * v5). [para(8312(a,1),8504(a,1,2)),flip(a)]. given #9015 (H,wt=29): 9499 T(x,T(y,z) * (a(T(1 / y,z),u,w) * v5)) = T(x,L(T(y,y \ z),w,u) * v5). [para(3517(a,1),8538(a,1,2,2,1,1))]. given #9016 (H,wt=31): 8557 T(x,y * T(R(z,u,w) * (u * w),R(z,u,w))) = T(x,y * ((T(z,u * w) * u) * w)). [para(2790(a,2),8552(a,2,2,2))]. given #9017 (H,wt=28): 9500 T(x,y * T((z * u) * w,R(z,u,w))) = T(x,y * ((T(z,u * w) * u) * w)). [para(93(a,1),8557(a,1,2,2,1))]. given #9018 (H,wt=31): 8632 K(x,T(y,(z \ 1) \ x) / T(z \ 1,T(y,(z \ 1) \ x) * z)) = K(x,y / (z \ 1)). [para(3547(a,2),8631(a,1,2))]. given #9019 (H,wt=29): 9501 K(x,T(y,z * x) / T(z \ 1,T(y,(z \ 1) \ x) * z)) = K(x,y / (z \ 1)). [para(5983(a,1),8632(a,1,2,1))]. given #9020 (H,wt=27): 9502 K(x,T(y,z * x) / T(z \ 1,T(y,z * x) * z)) = K(x,y / (z \ 1)). [para(5983(a,1),9501(a,1,2,2,2,1))]. given #9021 (H,wt=27): 9503 K(x,T(y,z * x) / T(z \ 1,T(y * z,z * x))) = K(x,y / (z \ 1)). [para(8296(a,2),9502(a,1,2,2))]. given #9022 (H,wt=31): 8851 T(x,y * (((z / (u \ 1)) \ (u \ 1)) / w)) = T(x,y * ((u \ (((u \ 1) \ z) \ 1)) / w)). [para(3007(a,1),8848(a,1,2,2,1))]. given #9023 (H,wt=29): 9504 T(x,y * ((z \ (((z \ 1) \ u) \ 1)) / w)) = T(x,y * ((z \ ((z * u) \ 1)) / w)). [para(4354(a,1),8851(a,1,2,2,1)),flip(a)]. given #9024 (H,wt=31): 8889 L(x,(y \ 1) * (y \ (z \ 1)),(1 / y) \ y) = R(x,(1 / y) \ y,((1 / y) \ y) \ z). [para(3821(a,1),8888(a,1,2))]. given #9025 (H,wt=29): 9505 R(x,(1 / y) \ y,((1 / y) \ y) \ z) = L(x,((y * z) \ 1) / y,(1 / y) \ y). [para(5928(a,1),8889(a,1,2)),flip(a)]. given #9026 (H,wt=27): 9506 R(x,(1 / y) \ y,((1 / y) \ y) \ z) = L(x,((y * z) \ 1) / y,y * y). [hyper(272,a,8988,a(flip),b,9505,a),flip(a)]. given #9027 (H,wt=31): 9099 L(x \ 1,1 / y,1 / y) \ (((x \ 1) * (1 / y)) * z) = L(y \ z,y,x \ (y \ 1)). [hyper(58,a,7835,a,b,9097,a)]. given #9028 (H,wt=27): 9507 L(x \ 1,y,y) \ (((x \ 1) * (1 / y)) * z) = L(y \ z,y,x \ (y \ 1)). [para(4237(a,1),9099(a,1,1))]. given #9029 (H,wt=27): 9508 (L(x,y,y) \ 1) \ (((x \ 1) * (1 / y)) * z) = L(y \ z,y,x \ (y \ 1)). [para(3798(a,1),9507(a,1,1))]. given #9030 (H,wt=23): 9509 ((1 / x) * (y * z)) / L(z,x,x) = L(x \ y,x,z \ (x \ 1)). [hyper(58,a,9476,a(flip),b,9508,a)]. given #9031 (H,wt=21): 9510 L(x \ (x * y),x,z \ (x \ 1)) = R(y,z * (1 / x),x). [hyper(58,a,6869,a(flip),b,9509,a),flip(a)]. given #9032 (H,wt=17): 9511 R(x,y * (1 / z),z) = L(x,z,y \ (z \ 1)). [para(4(a,1),9510(a,1,1)),flip(a)]. given #9033 (H,wt=15): 9512 L(x,y,z \ (y \ 1)) = R(x,z / y,y). [hyper(58,a,9355,a(flip),b,9511,a),flip(a)]. given #9034 (H,wt=15): 9513 L(x,y,z \ (y \ 1)) = R(x,y \ z,y). [hyper(272,a,8092,a(flip),b,9512,a),flip(a)]. given #9035 (H,wt=15): 9514 L(x,y,y \ (z \ 1)) = R(x,y \ z,y). [hyper(9017,a,9513,a)]. given #9036 (H,wt=14): 9515 L(R(x,y,z),z,z) = R(x,z \ y,z). [hyper(58,a,9107,a,b,9514,a)]. given #9037 (H,wt=19): 9516 L(x,y,((z / y) \ y) \ 1) = R(x,y \ (z \ y),y). [hyper(58,a,9076,a,b,9514,a)]. given #9038 (H,wt=31): 9299 L(x,y * (z * (((u * (w \ u)) \ u) * v5)),v6) = L(x,y * (z * (((u \ w) \ 1) \ v5)),v6). [para(4107(a,1),9288(a,1,2,2,2,1))]. given #9039 (H,wt=29): 9517 L(x,y * (z * (((u * (w \ u)) \ u) * v5)),v6) = L(x,y * (z * ((u \ w) * v5)),v6). [hyper(272,a,9267,a(flip),b,9299,a),flip(a)]. given #9040 (H,wt=31): 9393 K(x,((x * y) * z) / ((x * y) * (y \ z))) = ((x * y) * z) / (K(y,x) * ((x * y) * z)). [para(9383(a,2),6577(a,2,2))]. given #9041 (H,wt=19): 9518 K(x,((x * y) * z) / ((x * y) * (y \ z))) = K(x,y). [hyper(272,a,3883,a(flip),b,9393,a),flip(a)]. given #9042 (H,wt=19): 9520 K(x,((x * y) * z) / (x * (y * (y \ z)))) = K(x,y). [hyper(58,a,7656,a(flip),b,9518,a)]. given #9043 (H,wt=15): 9521 K(x,((x * y) * z) / (x * z)) = K(x,y). [para(5(a,1),9520(a,1,2,2,2))]. given #9044 (H,wt=12): 9522 K(x,R(T(y,x),x,z)) = K(x,y). [hyper(58,a,5808,a(flip),b,9521,a)]. given #9045 (H,wt=10): 9524 K(x,R(y,x,z)) = K(x,y). [hyper(5352,a,9522,a)]. given #9046 (H,wt=12): 9525 T(x,R(y,x,z)) = x * K(x,y). [hyper(114,a,9524,a(flip),b,2672,a(flip)),flip(a)]. given #9047 (H,wt=10): 9527 T(x,R(y,x,z)) = T(x,y). [hyper(272,a,2674,a,b,9525,a),flip(a)]. given #9048 (H,wt=15): 9529 T(x,(y * z) / (x * z)) = T(x,y / x). [para(94(a,1),9527(a,1,2))]. given #9049 (H,wt=15): 9530 T(x,(y * z) / (x * z)) = T(x,x \ y). [hyper(272,a,2235,a(flip),b,9529,a),flip(a)]. given #9050 (H,wt=15): 9531 T(x,y / (x * z)) = T(x,x \ (y / z)). [para(7(a,1),9530(a,1,2,1))]. given #9051 (H,wt=19): 9526 (K(x,y) * (y * x)) * z = K(x,y) * ((y * x) * z). [para(9524(a,1),7327(a,1,1)),flip(a)]. given #9052 (H,wt=10): 9534 L(x,y * z,K(z,y)) = x. [hyper(429,a,9526,a)]. given #9053 (H,wt=14): 9536 L(x,y,z) != u | L(x,T(y,z),z) = u. [para(9534(a,1),6769(a,1))]. given #9054 (H,wt=15): 9535 K(x,y) * ((y * x) * z) = (x * y) * z. [para(2561(a,1),9526(a,1,1)),flip(a)]. given #9055 (H,wt=15): 9538 (x * y) \ (K(x,y) * z) = (y * x) \ z. [hyper(518,a,9535,a)]. given #9056 (H,wt=15): 9539 (x * y) * ((y * x) \ z) = K(x,y) * z. [hyper(288,a,9535,a),flip(a)]. given #9057 (H,wt=15): 9540 (x * y) * (K(y,x) * z) = (y * x) * z. [hyper(58,a,9383,a(flip),b,9535,a)]. given #9058 (H,wt=15): 9542 (x * y) \ ((y * x) * z) = K(y,x) * z. [hyper(112,a,9535,a(flip),b,9383,a(flip))]. given #9059 (H,wt=17): 9541 T(x,y) \ ((y * x) * z) = x \ ((x * y) * z). [hyper(112,a,9535,a(flip),b,3946,a),flip(a)]. given #9060 (H,wt=18): 9545 K(x,y) * ((y * x) * z) != u | (x * y) * z = u. [para(9539(a,1),507(a,1))]. given #9061 (H,wt=19): 9533 T(x,y / ((x * z) * u)) = T(x,x \ (y / (z * u))). [hyper(58,a,7658,a,b,9531,a)]. given #9062 (H,wt=21): 9546 K(T(x,y),z) * K(y,T(x,z)) = (z * T(x,y)) \ (x * z). [hyper(112,a,3982,a(flip),b,9540,a),flip(a)]. given #9063 (H,wt=21): 9549 K(x,T(y,z)) * K(z,T(x,y)) = (y * T(x,z)) \ (x * y). [para(5239(a,1),9546(a,1,1))]. given #9064 (H,wt=17): 9550 (x * T(y,z)) \ (y * x) = K(y,x) * K(z,y). [hyper(58,a,5830,a(flip),b,9549,a),flip(a)]. given #9065 (H,wt=21): 9551 K(x * y,x * L(y,z,u)) = K(x,L(y,z,u)) * K(y,x). [hyper(8791,a,9550,a)]. given #9066 (H,wt=17): 9552 K(x * y,x * L(y,z,u)) = a(u,z,K(y,x)). [hyper(272,a,8241,a(flip),b,9551,a),flip(a)]. given #9067 (H,wt=16): 9553 K((x * y) * z,(x * y) * L(z,y,x)) = 1. [hyper(272,a,7158,a(flip),b,9552,a),flip(a)]. given #9068 (H,wt=13): 9554 K((x * y) * z,x * (y * z)) = 1. [para(87(a,1),9553(a,1,2))]. given #9069 (H,wt=22): 9543 K(x,y) * ((y * x) * z) != u * w | u \ ((x * y) * z) = w. [para(9535(a,1),3903(a,1,2))]. given #9070 (H,wt=23): 9544 (x * y) \ (R(y,z,u) * T(x,y)) = (y * x) \ (R(y,z,u) * x). [para(3758(a,1),9538(a,1,2))]. given #9071 (H,wt=25): 9548 T(x \ 1,y) \ ((T(x,y) \ y) * z) = (x \ 1) \ (((x \ 1) * y) * z). [para(2935(a,2),9541(a,1,2,1))]. given #9072 (H,wt=21): 9556 T(x \ 1,y) \ ((T(x,y) \ y) * z) = (y * (z * x)) / x. [hyper(272,a,7048,a(flip),b,9548,a),flip(a)]. given #9073 (H,wt=28): 9532 T(R(x,y,z),(u * (y * z)) / ((x * y) * z)) = T(R(x,y,z),R(x,y,z) \ u). [para(93(a,1),9530(a,1,2,2))]. given #9074 (H,wt=28): 9555 ((x * y) * z) \ (R(z,x,y) * T(x * y,z)) = (z * (x * y)) \ ((z * x) * y). [para(93(a,1),9544(a,2,2))]. given #9075 (H,wt=21): 9558 ((x * y) * z) * a(z,x,y) = R(z,x,y) * T(x * y,z). [hyper(114,a,9,a,b,9555,a)]. given #9076 (H,wt=22): 9559 ((x * y) * z) * K(y * z,x) = ((y * z) * x) * a(x,y,z). [hyper(272,a,3679,a,b,9558,a)]. given #9077 (H,wt=28): 9557 R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = T(R(x,z,u),R(x,z,u) \ y). [hyper(58,a,22,a,b,9532,a)]. given #9078 (H,wt=28): 9560 R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = R(T(x,R(x,z,u) \ y),z,u). [hyper(272,a,22,a,b,9557,a),flip(a)]. given #9079 (H,wt=28): 9561 R(T(x,x \ ((y * (z * u)) / (z * u))),z,u) = R(T(x,R(x,z,u) \ y),z,u). [para(9533(a,1),9560(a,1,1))]. given #9080 (H,wt=20): 9562 R(T(x,R(x,y,z) \ u),y,z) = R(T(x,x \ u),y,z). [para(6(a,1),9561(a,1,1,2,2)),flip(a)]. given #9081 (H,wt=14): 9564 T(x,R(x,y,z) \ u) = T(x,x \ u). [hyper(46,a,9562,a)]. given #9082 (H,wt=16): 9565 K(x,R(x,y,z) \ u) = x \ T(x,x \ u). [hyper(112,a,9564,a(flip),b,2674,a(flip)),flip(a)]. given #9083 (H,wt=14): 9566 K(x,R(x,y,z) \ u) = K(x,x \ u). [hyper(272,a,2672,a,b,9565,a),flip(a)]. given #9084 (H,wt=16): 9567 K(x,x \ (y \ R(x,z,u))) = K(x,y \ 1). [hyper(58,a,5415,a(flip),b,9566,a),flip(a)]. given #9085 (H,wt=16): 9569 K(x,y \ R(x,z,u)) = K(x,(x \ y) \ 1). [hyper(58,a,8048,a(flip),b,9567,a)]. given #9086 (H,wt=17): 9563 R(T(x,x \ y),z,u) = (R(x,z,u) \ y) \ y. [hyper(572,a,9562,a),flip(a)]. given #9087 (H,wt=17): 9570 K(x,y \ R(x,z,u)) != w | K(x,y \ x) = w. [para(9569(a,2),4460(a,1))]. given #9088 (H,wt=17): 9571 (R(x / y,z,u) \ x) \ x = R(y \ x,z,u). [para(557(a,1),9563(a,1,1)),flip(a)]. given #9089 (H,wt=21): 9573 K(x,R(x / y,z,u) \ w) = K(x,R(y \ x,z,u) \ w). [para(9571(a,1),5092(a,1,2,1)),flip(a)]. given #9090 (H,wt=27): 9574 R(K(x,R(y \ x,z,u) \ x),w,v5) = K(x,R(R(x / y,z,u),w,v5) \ x). [para(9573(a,1),8134(a,1,1))]. given #9091 (H,wt=23): 9575 K(x,R(R(x / y,z,u),w,v5) \ x) = R(R(K(x,y),z,u),w,v5). [para(8135(a,1),9574(a,1,1)),flip(a)]. given #9092 (H,wt=31): 9422 T(x,(y \ (z * ((1 / (y \ 1)) \ z))) * u) = T(x,(z * (((y \ 1) * z) * (y \ 1))) * u). [para(9418(a,1),8587(a,1,2,1)),flip(a)]. given #9093 (H,wt=27): 9577 T(x,(y \ (z * ((1 / (y \ 1)) \ z))) * u) = T(x,(z * ((y \ z) / y)) * u). [para(4517(a,1),9422(a,2,2,1,2))]. given #9094 (H,wt=27): 9578 T(x,(y \ (z * ((1 / (y \ 1)) \ z))) * u) = T(x,(z * (y \ (z / y))) * u). [hyper(272,a,8678,a(flip),b,9577,a),flip(a)]. given #9095 (H,wt=23): 9580 T(x,(y \ (z * (y \ z))) * u) = T(x,(z * (y \ (z / y))) * u). [para(72(a,1),9578(a,1,2,1,2,2,1))]. given #9096 (H,wt=31): 9497 (a(x,y,x) * (z * (u * w))) \ ((a(x,y,x) * (z * u)) * w) = a(a(x,y,x) * z,u,w). [para(8391(a,1),8397(a,1,2,1))]. given #9097 (H,wt=21): 9582 a(a(x,y,x) * z,u,w) = (z * (u * w)) \ ((z * u) * w). [hyper(58,a,8421,a(flip),b,9497,a),flip(a)]. given #9098 (H,wt=14): 9584 a(a(x,y,x) * z,u,w) = a(z,u,w). [hyper(272,a,9,a,b,9582,a),flip(a)]. given #9099 (H,wt=14): 9585 a(a(x,y,x) \ z,u,w) = a(z,u,w). [para(5(a,1),9584(a,1,1)),flip(a)]. given #9100 (H,wt=12): 9586 a(L(x,y,x),z,u) = a(x,z,u). [para(6614(a,1),9585(a,1,1))]. given #9101 (H,wt=15): 9587 a(K(x \ y,x),z,u) = a(K(y,x),z,u). [para(6603(a,1),9585(a,1,1))]. given #9102 (H,wt=15): 9588 a(T(x,x * y),z,u) = a(T(x,y),z,u). [para(5394(a,1),9586(a,1,1))]. given #9103 (H,wt=17): 9589 a(T(x \ 1,y) \ 1,z,u) = a(T(x,y),z,u). [hyper(58,a,3443,a(flip),b,9588,a)]. given #9104 (H,wt=15): 9591 a((x \ y) \ y,z,u) = a(T(x,y),z,u). [para(3447(a,1),9589(a,1,1))]. given #9105 (H,wt=17): 9590 a(T(1 / x,y) \ 1,z,u) = a(T(x,y),z,u). [hyper(58,a,2518,a,b,9589,a)]. given #9106 (H,wt=32): 8642 x \ ((x * y) * L(z,L(x,u,u),L(x,u,u))) = (y * (z / L(x,u,u))) / (1 / L(x,u,u)). [hyper(58,a,6484,a(flip),b,8435,a),flip(a)]. given #9107 (H,wt=26): 9592 x \ ((x * y) * L(z,x,x)) = (y * (z / L(x,u,u))) / (1 / L(x,u,u)). [para(9193(a,1),8642(a,1,2,2))]. given #9108 (H,wt=25): 9593 (x * (y / L(z,u,u))) / (1 / L(z,u,u)) = (x * (y / z)) / (1 / z). [hyper(58,a,6484,a(flip),b,9592,a),flip(a)]. given #9109 (H,wt=32): 8709 T(x,y * (z \ ((1 / u) * ((w * (v5 * u)) / u)))) = T(x,y * (z \ ((u \ w) * L(v5,u,u)))). [para(2019(a,1),8708(a,2,2,2,2))]. given #9110 (H,wt=28): 9595 T(x,y * (z \ ((u \ w) * L(v5,u,u)))) = T(x,y * (z \ (((1 / u) * w) * v5))). [para(769(a,1),8709(a,1,2,2,2)),flip(a)]. given #9111 (H,wt=32): 9005 x * L(1 / y,(z \ 1) \ 1,((z \ 1) \ 1) \ x) = (x / ((z \ 1) \ 1)) * (1 / (y / z)). [para(4185(a,1),8958(a,2,2))]. given #9112 (H,wt=30): 9596 x * L(1 / y,(z \ 1) \ 1,(z \ 1) * x) = (x / ((z \ 1) \ 1)) * (1 / (y / z)). [para(8940(a,1),9005(a,1,2))]. given #9113 (H,wt=28): 9597 x * L(1 / y,(z \ 1) \ 1,z \ x) = (x / ((z \ 1) \ 1)) * (1 / (y / z)). [para(8989(a,1),9596(a,1,2))]. given #9114 (H,wt=24): 9598 (x / ((y \ 1) \ 1)) * (1 / (z / y)) = x * L(1 / z,y,y \ x). [para(2460(a,1),9597(a,1,2)),flip(a)]. given #9115 (H,wt=23): 9599 (x / ((y \ 1) \ 1)) * (1 / (z / y)) = (x / y) * (y * (1 / z)). [hyper(272,a,8958,a(flip),b,9598,a),flip(a)]. given #9116 (H,wt=23): 9600 ((x * (1 / y)) \ 1) * (1 / (z / x)) = (y / x) * (x * (1 / z)). [para(4132(a,1),9599(a,1,1))]. given #9117 (H,wt=33): 8676 T(x,(y * (((1 / z) * u) * ((z / y) \ 1))) * w) = T(x,((y / z) * (u * (y * (1 / z)))) * w). [para(7459(a,1),8670(a,1,2,1))]. given #9118 (H,wt=33): 8870 T(x,y * (z * ((((u \ w) * (u \ w)) \ v5) * ((u \ 1) * w)))) = T(x,y * (z * (v5 / (u \ w)))). [para(3250(a,1),8868(a,2,2,2,2))]. given #9119 (H,wt=25): 9602 T(x,y * (z * (u / ((w \ 1) * v5)))) = T(x,y * (z * (u / (w \ v5)))). [para(5859(a,1),8870(a,1,2,2,2))]. given #9120 (H,wt=23): 9603 T(x,y * (z * (u / (w \ v5)))) = T(x,y * (z * (u * (v5 \ w)))). [hyper(58,a,8903,a(flip),b,9602,a),flip(a)]. given #9121 (H,wt=25): 9604 T(x,(1 / y) * (z * (u * (w \ v5)))) = T(x,y \ (z * (u / (v5 \ w)))). [hyper(6105,a,9603,a),flip(a)]. given #9122 (H,wt=23): 9609 T(x,y \ (z * (u / (w \ v5)))) = T(x,y \ (z * (u * (v5 \ w)))). [hyper(6105,a,9604,a),flip(a)]. given #9123 (H,wt=25): 9607 T(x,y * ((z \ 1) * (u * (w \ v5)))) = T(x,y * (z \ (u / (v5 \ w)))). [hyper(58,a,8519,a(flip),b,9603,a),flip(a)]. given #9124 (H,wt=23): 9611 T(x,y * (z \ (u / (w \ v5)))) = T(x,y * (z \ (u * (v5 \ w)))). [hyper(58,a,8519,a(flip),b,9607,a),flip(a)]. given #9125 (H,wt=21): 9612 T(x,y * (z \ (1 / (u \ w)))) = T(x,y * (z \ (w \ u))). [para(2(a,1),9611(a,2,2,2,2))]. given #9126 (H,wt=19): 9613 T(x,y / ((z \ u) * w)) = T(x,y * (w \ (u \ z))). [hyper(58,a,9484,a(flip),b,9612,a)]. given #9127 (H,wt=17): 9614 T(x,y * (z \ (u \ 1))) = T(x,y / (u * z)). [para(60(a,1),9613(a,1,2,2,1)),flip(a)]. given #9128 (H,wt=17): 9616 T(x,y * ((1 / z) / u)) = T(x,y / (u * z)). [hyper(58,a,8524,a,b,9614,a)]. given #9129 (H,wt=19): 9615 T(x,y * (z \ (u \ (u / w)))) = T(x,y / (w * z)). [para(74(a,1),9613(a,1,2,2,1)),flip(a)]. given #9130 (H,wt=21): 9618 T(x,y * (z \ T(1 / u,w))) = T(x,y / (T(u,w) * z)). [para(2254(a,1),9615(a,1,2,2,2))]. given #9131 (H,wt=25): 9610 T(x,y \ ((1 / z) * (u * (w \ v5)))) = T(x,y \ (z \ (u / (v5 \ w)))). [hyper(58,a,8467,a(flip),b,9609,a),flip(a)]. given #9132 (H,wt=23): 9619 T(x,y \ (z \ (u / (w \ v5)))) = T(x,y \ (z \ (u * (v5 \ w)))). [hyper(58,a,8467,a(flip),b,9610,a),flip(a)]. given #9133 (H,wt=21): 9620 T(x,y \ (z \ (u * (w \ 1)))) = T(x,y \ (z \ (u / w))). [para(60(a,1),9619(a,1,2,2,2,2)),flip(a)]. given #9134 (H,wt=17): 9623 T(x,y \ (z \ (z / u))) = T(x,y \ (u \ 1)). [para(4(a,1),9620(a,1,2,2)),flip(a)]. given #9135 (H,wt=19): 9625 K(x,y \ (z \ (z / u))) = x \ T(x,y \ (u \ 1)). [hyper(112,a,9623,a(flip),b,2674,a(flip)),flip(a)]. given #9136 (H,wt=17): 9627 K(x,y \ (z \ (z / u))) = K(x,y \ (u \ 1)). [hyper(272,a,2672,a,b,9625,a),flip(a)]. given #9137 (H,wt=18): 9628 K(x,y \ L(z,z,u)) = K(x,y \ ((1 / z) \ 1)). [hyper(58,a,5729,a,b,9627,a)]. given #9138 (H,wt=14): 9630 K(x,y \ L(z,z,u)) = K(x,y \ z). [para(74(a,1),9628(a,2,2,2))]. given #9139 (H,wt=19): 9626 T(x,y \ (T(z,u) \ 1)) = T(x,y \ (z \ K(z,u))). [para(2649(a,2),9623(a,1,2,2,2)),flip(a)]. given #9140 (H,wt=21): 9621 T(x,y \ (z \ (u / (w \ 1)))) = T(x,y \ (z \ (u * w))). [para(60(a,1),9619(a,2,2,2,2,2))]. given #9141 (H,wt=21): 9624 T(x,y \ (z \ (u / (1 / w)))) = T(x,y \ (z \ (u * w))). [para(74(a,1),9620(a,1,2,2,2,2)),flip(a)]. given #9142 (H,wt=21): 9632 T(x,y \ (z \ (u * (1 / w)))) = T(x,y \ (z \ (u / w))). [para(74(a,1),9621(a,1,2,2,2,2)),flip(a)]. given #9143 (H,wt=25): 9631 K(x,L(L(y,y,z) \ 1,u,w) \ 1) = K(x,a(L(y,y,z),w,u) \ y). [hyper(58,a,4440,a,b,9630,a)]. given #9144 (H,wt=25): 9633 T(x,y \ (z \ (((u \ 1) * w) \ 1))) = T(x,y \ (z \ ((w \ 1) * u))). [para(4150(a,1),9624(a,1,2,2,2))]. given #9145 (H,wt=27): 9606 T(x,y * (z * (T(u,w \ v5) * (v5 \ w)))) = T(x,y * (z * ((w \ v5) \ u))). [hyper(58,a,8562,a(flip),b,9603,a),flip(a)]. given #9146 (H,wt=25): 9634 T(x,y * (z * ((1 / (u \ w)) \ v5))) = T(x,y * (z * ((w \ u) \ v5))). [para(4469(a,1),9606(a,1,2,2,2))]. given #9147 (H,wt=23): 9635 T(x,y * (z * ((u \ w) \ v5))) = T(x,y * (z * ((w \ u) * v5))). [hyper(58,a,8683,a(flip),b,9634,a),flip(a)]. given #9148 (H,wt=19): 9638 T(x,y * ((z \ u) * ((u \ z) * w))) = T(x,y * w). [para(5(a,1),9635(a,1,2,2)),flip(a)]. given #9149 (H,wt=17): 9642 T(x,y * T(z / u,z)) = T(x,y * (u \ z)). [para(6227(a,1),9638(a,1,2,2))]. given #9150 (H,wt=19): 9640 T(x,y * ((z \ u) \ w)) = T(x,y * ((u \ z) * w)). [para(5(a,1),9638(a,1,2,2,2)),flip(a)]. given #9151 (H,wt=19): 9641 T(x,y * ((z \ (z / u)) * w)) = T(x,y * (u \ w)). [para(300(a,1),9638(a,1,2,2,2))]. given #9152 (H,wt=19): 9643 T(x,y * (z / (u \ w))) = T(x,y * (z * (w \ u))). [para(6566(a,1),9638(a,1,2,2))]. given #9153 (H,wt=19): 9644 T(x,y * ((z / u) \ w)) = T(x,y * ((u / z) * w)). [para(7299(a,1),9638(a,1,2,2)),flip(a)]. given #9154 (H,wt=19): 9648 T(x,y * (((z * u) \ z) * w)) = T(x,y * (u \ w)). [para(4(a,1),9640(a,1,2,2,1)),flip(a)]. given #9155 (H,wt=19): 9651 T(x,y * (z * (u \ (u / w)))) = T(x,y * (z / w)). [para(74(a,1),9643(a,1,2,2,2)),flip(a)]. given #9156 (H,wt=19): 9655 T(x,y * (z * (u / (w * u)))) = T(x,y * (z / w)). [para(3305(a,2),9651(a,1,2,2,2))]. given #9157 (H,wt=19): 9656 T(x,y * (z / (u / w))) = T(x,y * (z * (w / u))). [para(7(a,1),9655(a,1,2,2,2,2)),flip(a)]. given #9158 (H,wt=21): 9645 T(x,y * ((z \ u) \ (w \ 1))) = T(x,y * ((u \ z) / w)). [hyper(272,a,8483,a(flip),b,9640,a),flip(a)]. given #9159 (H,wt=21): 9646 T(x,y * ((z \ (u \ 1)) * w)) = T(x,y * ((u * z) \ w)). [hyper(58,a,8579,a(flip),b,9640,a),flip(a)]. given #9160 (H,wt=21): 9647 x \ T(x,y * ((z \ u) * w)) = K(x,y * ((u \ z) \ w)). [hyper(112,a,9640,a(flip),b,2674,a(flip))]. given #9161 (H,wt=19): 9663 K(x,y * ((z \ u) \ w)) = K(x,y * ((u \ z) * w)). [hyper(2691,a,9647,a),flip(a)]. given #9162 (H,wt=17): 9665 K(x,y * ((z \ 1) * u)) = K(x,y * (z \ u)). [para(60(a,1),9663(a,1,2,2,1)),flip(a)]. given #9163 (H,wt=17): 9666 K(x,y * (z \ (1 / u))) = K(x,y / (u * z)). [hyper(58,a,9490,a(flip),b,9665,a),flip(a)]. given #9164 (H,wt=17): 9668 K(x,y / ((z \ 1) * u)) = K(x,y * (u \ z)). [para(72(a,1),9666(a,1,2,2,2)),flip(a)]. given #9165 (H,wt=17): 9669 K(x,y / ((1 / z) * u)) = K(x,y * (u \ z)). [hyper(58,a,2430,a,b,9668,a)]. given #9166 (H,wt=21): 9650 T(x,y * (T(1 / z,u) * w)) = T(x,y * (T(z,u) \ w)). [para(2254(a,1),9641(a,1,2,2,1))]. given #9167 (H,wt=21): 9653 T(x,(1 / y) * ((z / u) * w)) = T(x,y \ ((u / z) \ w)). [hyper(6105,a,9644,a),flip(a)]. given #9168 (H,wt=19): 9670 T(x,y \ ((z / u) \ w)) = T(x,y \ ((u / z) * w)). [hyper(6105,a,9653,a),flip(a)]. given #9169 (H,wt=19): 9672 T(x,y \ ((z / (u * z)) * w)) = T(x,y \ (u \ w)). [para(6(a,1),9670(a,1,2,2,1)),flip(a)]. given #9170 (H,wt=17): 9673 T(x,y \ ((z \ 1) * u)) = T(x,y \ (z \ u)). [para(153(a,1),9672(a,1,2,2,1))]. given #9171 (H,wt=19): 9674 T(x,y \ ((z \ (z / u)) * w)) = T(x,y \ (u \ w)). [para(3305(a,1),9672(a,1,2,2,1))]. given #9172 (H,wt=19): 9675 T(x,y \ ((z \ 1) * T(u,z))) = T(x,y \ (u / z)). [hyper(272,a,8468,a(flip),b,9673,a),flip(a)]. given #9173 (H,wt=19): 9676 T(x,y \ ((z \ 1) / u)) = T(x,y \ (z \ (u \ 1))). [hyper(58,a,8469,a(flip),b,9673,a)]. given #9174 (H,wt=19): 9678 T(x,y \ ((z \ u) \ w)) = T(x,y \ ((u \ z) * w)). [para(72(a,1),9674(a,1,2,2,1,2)),flip(a)]. given #9175 (H,wt=19): 9679 T(x,y \ ((z \ 1) / u)) = T(x,y \ ((u * z) \ 1)). [para(4156(a,1),9675(a,1,2,2)),flip(a)]. given #9176 (H,wt=19): 9681 T(x,y \ ((z * u) \ 1)) = T(x,y \ (u \ (z \ 1))). [hyper(58,a,9676,a(flip),b,9679,a),flip(a)]. given #9177 (H,wt=21): 9654 x \ T(x,y * ((z / u) * w)) = K(x,y * ((u / z) \ w)). [hyper(112,a,9644,a(flip),b,2674,a(flip))]. given #9178 (H,wt=19): 9683 K(x,y * ((z / u) \ w)) = K(x,y * ((u / z) * w)). [hyper(2691,a,9654,a),flip(a)]. given #9179 (H,wt=21): 9657 T(x,(1 / y) * (z * (u / w))) = T(x,y \ (z / (w / u))). [hyper(6105,a,9656,a),flip(a)]. given #9180 (H,wt=19): 9685 T(x,y \ (z / (u / w))) = T(x,y \ (z * (w / u))). [hyper(6105,a,9657,a),flip(a)]. given #9181 (H,wt=21): 9659 T(x,y * ((z \ 1) * (u / w))) = T(x,y / ((w / u) * z)). [hyper(58,a,9483,a(flip),b,9656,a),flip(a)]. given #9182 (H,wt=19): 9687 T(x,y / ((z / u) * w)) = T(x,y * (w \ (u / z))). [hyper(58,a,8519,a(flip),b,9659,a),flip(a)]. given #9183 (H,wt=15): 9688 T(x,y * (z \ (z / u))) = T(x,y / u). [para(7(a,1),9687(a,1,2,2)),flip(a)]. given #9184 (H,wt=15): 9689 T(x,y * ((z * u) \ z)) = T(x,y / u). [para(6(a,1),9688(a,1,2,2,2))]. given #9185 (H,wt=15): 9690 T(x,y / (z \ u)) = T(x,y * (u \ z)). [para(72(a,1),9688(a,1,2,2,2)),flip(a)]. given #9186 (H,wt=15): 9693 T(x,y / (z / u)) = T(x,y * (u / z)). [para(3309(a,1),9689(a,1,2,2)),flip(a)]. given #9187 (H,wt=16): 9695 T(x,y * (L(z,z,u) \ 1)) = T(x,y / z). [para(5080(a,2),9689(a,1,2,2))]. given #9188 (H,wt=14): 9698 T(x,y / L(z,z,u)) = T(x,y / z). [hyper(6059,a,9695,a)]. given #9189 (H,wt=17): 9691 T(x,y * T(1 / z,u)) = T(x,y / T(z,u)). [para(2254(a,1),9688(a,1,2,2))]. given #9190 (H,wt=17): 9699 T(x,y / ((z \ u) \ u)) = T(x,y / T(z,u)). [hyper(6107,a,9691,a)]. given #9191 (H,wt=21): 9660 T(x,y * (z * ((1 / u) / w))) = T(x,y * (z / (w * u))). [hyper(58,a,8839,a(flip),b,9656,a),flip(a)]. given #9192 (H,wt=21): 9671 x \ T(x,y \ ((z / u) * w)) = K(x,y \ ((u / z) \ w)). [hyper(112,a,9670,a(flip),b,2674,a(flip))]. given #9193 (H,wt=19): 9703 K(x,y \ ((z / u) \ w)) = K(x,y \ ((u / z) * w)). [hyper(2691,a,9671,a),flip(a)]. given #9194 (H,wt=21): 9680 x \ T(x,y \ ((z \ u) * w)) = K(x,y \ ((u \ z) \ w)). [hyper(112,a,9678,a(flip),b,2674,a(flip))]. given #9195 (H,wt=19): 9705 K(x,y \ ((z \ u) \ w)) = K(x,y \ ((u \ z) * w)). [hyper(2691,a,9680,a),flip(a)]. given #9196 (H,wt=17): 9706 K(x,y \ ((z \ 1) \ u)) = K(x,y \ (z * u)). [para(60(a,1),9705(a,2,2,2,1))]. given #9197 (H,wt=21): 9694 T(x,y * ((z * (u * z)) \ u)) = T(x,y / (z * T(z,u))). [para(5011(a,1),9689(a,1,2,2,1))]. given #9198 (H,wt=21): 9700 T(x,y / T(z * u,u \ 1)) = T(x,y / T(z * u,z)). [para(4476(a,2),9699(a,1,2,2))]. given #9199 (H,wt=19): 9708 T(x,y / T(z * u,u \ 1)) = T(x,y / (u * z)). [hyper(272,a,8490,a(flip),b,9700,a),flip(a)]. given #9200 (H,wt=19): 9709 T(x,y / T(z,u \ 1)) = T(x,y / (u * (z / u))). [para(7(a,1),9708(a,1,2,2,1))]. given #9201 (H,wt=17): 9710 T(x,y / (z * (u / z))) = T(x,y / T(u,z)). [hyper(58,a,9475,a(flip),b,9709,a),flip(a)]. given #9202 (H,wt=21): 9701 T(x,y * (z * (u \ (1 / w)))) = T(x,y * (z / (w * u))). [hyper(58,a,8696,a(flip),b,9660,a)]. given #9203 (H,wt=21): 9702 T(x,y * (z * (u \ (w \ 1)))) = T(x,y * (z / (w * u))). [hyper(58,a,8651,a(flip),b,9660,a)]. given #9204 (H,wt=21): 9707 K(x,y \ (((z / u) / z) * w)) = K(x,y \ (T(u,z) \ w)). [para(2909(a,2),9706(a,1,2,2,1)),flip(a)]. given #9205 (H,wt=21): 9712 T(x,y * (z * ((u \ 1) / w))) = T(x,y * (z / (w * u))). [hyper(58,a,8689,a,b,9702,a)]. given #9206 (H,wt=22): 9664 K(x,y * ((z \ u) \ w)) != v5 | K(x,y * ((u \ z) * w)) = v5. [para(9647(a,1),2691(a,1))]. given #9207 (H,wt=22): 9686 T(x,y \ (z / (u / w))) != v5 | T(x,y \ (z * (w / u))) = v5. [para(9657(a,1),6105(a,1))]. given #9208 (H,wt=22): 9704 K(x,y \ ((z / u) \ w)) != v5 | K(x,y \ ((u / z) * w)) = v5. [para(9671(a,1),2691(a,1))]. given #9209 (H,wt=23): 9637 T(x,y * (z * (((u * w) \ u) * v5))) = T(x,y * (z * (w \ v5))). [para(4(a,1),9635(a,1,2,2,2,1)),flip(a)]. given #9210 (H,wt=23): 9661 T(x,y * ((z \ (u \ 1)) / w)) = T(x,y * ((u * z) \ (w \ 1))). [hyper(58,a,8579,a(flip),b,9645,a),flip(a)]. given #9211 (H,wt=21): 9720 T(x,y * ((z \ (u \ 1)) / w)) = T(x,y / (w * (u * z))). [hyper(272,a,9614,a(flip),b,9661,a),flip(a)]. given #9212 (H,wt=21): 9722 T(x,y * (((z \ 1) / u) / w)) = T(x,y / (w * (u * z))). [hyper(58,a,8849,a,b,9720,a)]. given #9213 (H,wt=21): 9724 T(x,y * ((z \ (1 / u)) / w)) = T(x,y / (w * (u * z))). [hyper(58,a,9177,a(flip),b,9722,a)]. given #9214 (H,wt=21): 9726 T(x,y / (z * (u * (1 / w)))) = T(x,y * ((w / u) / z)). [para(74(a,1),9722(a,1,2,2,1,1)),flip(a)]. given #9215 (H,wt=23): 9677 T(x,y \ ((z * u) \ (u \ 1))) = T(x,y \ (u \ (z \ (1 / u)))). [para(4627(a,1),9673(a,1,2,2)),flip(a)]. given #9216 (H,wt=23): 9692 T(x,T(y * (z \ (z / u)),w)) = K(x,w) * T(T(x,w),y / u). [para(9688(a,1),5429(a,1,2)),flip(a)]. given #9217 (H,wt=22): 9728 T(x,T(y * (z \ (z / u)),w)) != v5 | T(x,T(y / u,w)) = v5. [para(9692(a,2),5431(a,1))]. given #9218 (H,wt=20): 9729 T(x,T(y * (z \ 1),u)) != w | T(x,T(y / z,u)) = w. [para(69(a,1),9728(a,1,2,1,2,2))]. given #9219 (H,wt=23): 9696 T(x,L(y \ z,u,w) * (z \ y)) = T(x,a((y \ z) \ 1,w,u)). [para(2510(a,2),9690(a,1,2)),flip(a)]. given #9220 (H,wt=23): 9711 T(x,y * ((1 / z) / (u * w))) = T(x,y * (z \ (w \ (1 / u)))). [hyper(58,a,8480,a(flip),b,9701,a),flip(a)]. given #9221 (H,wt=21): 9731 T(x,y * (z \ (u \ (1 / w)))) = T(x,y / ((w * u) * z)). [hyper(58,a,9616,a(flip),b,9711,a),flip(a)]. given #9222 (H,wt=23): 9727 T(x,y * ((z / (z / u)) / w)) = T(x,y * ((z * (u / z)) / w)). [hyper(58,a,9487,a(flip),b,9726,a),flip(a)]. given #9223 (H,wt=23): 9732 T(x,(1 / y) / ((z * u) * w)) = T(x,y \ (w \ (u \ (1 / z)))). [hyper(6105,a,9731,a),flip(a)]. given #9224 (H,wt=23): 9734 T(x,y * (((z \ u) \ u) / w)) = T(x,y * ((u * (z / u)) / w)). [para(2898(a,1),9727(a,1,2,2,1))]. given #9225 (H,wt=21): 9736 T(x,y * (((z \ u) \ u) / w)) = T(x,y * (T(z,u) / w)). [hyper(272,a,8861,a(flip),b,9734,a),flip(a)]. given #9226 (H,wt=21): 9737 T(x,y * (T(z,z \ u) / w)) = T(x,y * (T(z,u) / w)). [para(99(a,2),9736(a,1,2,2,1))]. given #9227 (H,wt=23): 9735 T(x,y \ (((z * u) * w) \ 1)) = T(x,y \ (w \ (u \ (1 / z)))). [hyper(6047,a,9732,a)]. given #9228 (H,wt=23): 9738 T(x,y \ (z \ ((u * w) \ 1))) = T(x,y \ (z \ (w \ (1 / u)))). [hyper(58,a,9681,a(flip),b,9735,a)]. given #9229 (H,wt=23): 9739 T(x,y \ (z \ (((u \ 1) * w) \ 1))) = T(x,y \ (z \ (w \ u))). [para(72(a,1),9738(a,2,2,2,2,2))]. given #9230 (H,wt=21): 9740 T(x,y \ (z \ ((u \ 1) * w))) = T(x,y \ (z \ (u \ w))). [hyper(58,a,9633,a(flip),b,9739,a)]. given #9231 (H,wt=23): 9741 T(x,y \ (z \ ((u \ 1) / w))) = T(x,y \ (z \ (u \ (w \ 1)))). [para(4172(a,1),9739(a,1,2,2,2))]. given #9232 (H,wt=25): 9636 T(x,y * ((z \ 1) * ((u \ w) * v5))) = T(x,y * (z \ ((w \ u) \ v5))). [hyper(58,a,8519,a(flip),b,9635,a),flip(a)]. given #9233 (H,wt=23): 9743 T(x,y * (z \ ((u \ w) \ v5))) = T(x,y * (z \ ((w \ u) * v5))). [hyper(58,a,8519,a(flip),b,9636,a),flip(a)]. given #9234 (H,wt=21): 9745 T(x,y * (z \ ((u \ 1) * w))) = T(x,y * (z \ (u \ w))). [para(60(a,1),9743(a,1,2,2,2,1)),flip(a)]. given #9235 (H,wt=23): 9748 T(x,y * (z \ ((u \ 1) / w))) = T(x,y * (z \ (u \ (1 / w)))). [hyper(58,a,8722,a(flip),b,9745,a)]. given #9236 (H,wt=21): 9749 T(x,y * (z \ ((u \ 1) / w))) = T(x,y / ((w * u) * z)). [hyper(272,a,9731,a(flip),b,9748,a),flip(a)]. given #9237 (H,wt=25): 9658 T(x,T(y,z / (u / w)) * (z * (w / u))) = T(x,(z / (u / w)) * y). [hyper(5779,a,9656,a),flip(a)]. given #9238 (H,wt=25): 9684 L(K(x,y * ((z / u) * w)),v5,v6) = K(x,L(y * ((u / z) \ w),v5,v6)). [para(9683(a,1),8229(a,1,1))]. given #9239 (H,wt=25): 9716 T(x,y * (z / ((u \ (w \ 1)) \ v5))) = T(x,y * (z / ((w * u) * v5))). [hyper(58,a,9163,a,b,9712,a)]. given #9240 (H,wt=25): 9718 T(x,y * (z * (((u * w) \ u) / v5))) = T(x,y * (z * (w \ (1 / v5)))). [hyper(58,a,8691,a(flip),b,9637,a)]. given #9241 (H,wt=23): 9753 T(x,y * (z * (((u * w) \ u) / v5))) = T(x,y * (z / (v5 * w))). [hyper(272,a,9701,a(flip),b,9718,a),flip(a)]. given #9242 (H,wt=23): 9754 T(x,y * (z / (u * (w \ v5)))) = T(x,y * (z * ((v5 \ w) / u))). [para(5(a,1),9753(a,1,2,2,2,1,1)),flip(a)]. given #9243 (H,wt=23): 9755 T(x,y * (z / (u * (w / v5)))) = T(x,y * (z * ((v5 / w) / u))). [para(3309(a,1),9753(a,1,2,2,2,1)),flip(a)]. given #9244 (H,wt=25): 9725 T(x,y * ((z \ (u \ (z \ 1))) / w)) = T(x,y / (w * (z * (u * z)))). [hyper(58,a,8853,a(flip),b,9722,a)]. given #9245 (H,wt=25): 9742 T(x,y \ (z \ ((u \ 1) * (1 / w)))) = T(x,y \ (z \ (u \ (w \ 1)))). [hyper(58,a,9632,a,b,9741,a)]. given #9246 (H,wt=23): 9759 T(x,y \ (z \ (u \ (1 / w)))) = T(x,y \ (z \ (u \ (w \ 1)))). [hyper(58,a,9740,a(flip),b,9742,a)]. given #9247 (H,wt=23): 9760 T(x,y \ ((z * u) \ (u \ 1))) = T(x,y \ (u \ (z \ (u \ 1)))). [hyper(58,a,9677,a,b,9759,a)]. given #9248 (H,wt=25): 9744 T(x,(1 / y) * (z \ ((u \ w) * v5))) = T(x,y \ (z \ ((w \ u) \ v5))). [hyper(6105,a,9743,a),flip(a)]. given #9249 (H,wt=23): 9761 T(x,y \ (z \ ((u \ w) \ v5))) = T(x,y \ (z \ ((w \ u) * v5))). [hyper(6105,a,9744,a),flip(a)]. given #9250 (H,wt=25): 9750 T(x,T(y,z * (u / w)) * (z * (u / w))) = T(x,(z / (w / u)) * y). [para(9693(a,1),9658(a,1,2,1))]. given #9251 (H,wt=19): 9763 T(x,(y / (z / u)) * w) = T(x,(y * (u / z)) * w). [hyper(5779,a,9750,a),flip(a)]. given #9252 (H,wt=21): 9764 T(x,(y * (z / T(u,z))) * w) = T(x,(y / (z \ u)) * w). [hyper(58,a,8825,a(flip),b,9763,a),flip(a)]. given #9253 (H,wt=19): 9765 T(x,(y / (z \ u)) * w) = T(x,(y * (u \ z)) * w). [hyper(58,a,8679,a(flip),b,9764,a),flip(a)]. given #9254 (H,wt=21): 9767 x \ T(x,(y * (z \ u)) * w) = K(x,(y / (u \ z)) * w). [hyper(112,a,9765,a(flip),b,2674,a(flip))]. given #9255 (H,wt=19): 9771 K(x,(y / (z \ u)) * w) = K(x,(y * (u \ z)) * w). [hyper(2691,a,9767,a),flip(a)]. given #9256 (H,wt=23): 9768 T(x,(y * (z \ T(1 / u,z))) * w) = T(x,(y / (z * u)) * w). [para(2996(a,1),9765(a,1,2,1,2)),flip(a)]. given #9257 (H,wt=21): 9772 T(x,(y * ((1 / z) / u)) * w) = T(x,(y / (u * z)) * w). [hyper(58,a,8674,a(flip),b,9768,a)]. given #9258 (H,wt=21): 9773 T(x,(y * (z \ (u \ 1))) * w) = T(x,(y / (u * z)) * w). [hyper(58,a,8680,a(flip),b,9772,a)]. given #9259 (H,wt=25): 9751 K(x,L(y * ((z / u) \ w),v5,v6)) = K(x,L(y * ((u / z) * w),v5,v6)). [hyper(58,a,8229,a(flip),b,9684,a),flip(a)]. given #9260 (H,wt=23): 9774 K(x,L(y * ((z / u) \ 1),w,v5)) = K(x,L(y * (u / z),w,v5)). [para(3(a,1),9751(a,2,2,1,2))]. given #9261 (H,wt=21): 9776 K(x,L(y / (z / u),w,v5)) = K(x,L(y * (u / z),w,v5)). [hyper(58,a,8267,a(flip),b,9774,a)]. given #9262 (H,wt=25): 9752 T(x,y * (z * (u \ (w \ (v5 \ 1))))) = T(x,y * (z / ((v5 * w) * u))). [hyper(58,a,9643,a(flip),b,9716,a)]. given #9263 (H,wt=25): 9766 T(x,(T(y,z \ u) * (u \ z)) * w) = T(x,((1 / (z \ u)) * y) * w). [hyper(6176,a,9765,a),flip(a)]. given #9264 (H,wt=25): 9775 K(x,L(y * ((T(z,u) / 1) \ u),w,v5)) = K(x,L(y * (u / z),w,v5)). [para(2793(a,1),9751(a,2,2,1,2))]. given #9265 (H,wt=23): 9779 K(x,L(y * (T(z,u) \ u),w,v5)) = K(x,L(y * (u / z),w,v5)). [para(70(a,1),9775(a,1,2,1,2,1))]. given #9266 (H,wt=23): 9780 K(x,L(y * (z * (u \ 1)),w,v5)) = K(x,L(y * (z / u),w,v5)). [para(2935(a,1),9779(a,1,2,1,2))]. given #9267 (H,wt=26): 9758 T(x,y / (z * (u * (z * u)))) != w | T(x,(z * u) \ ((z * u) \ y)) = w. [para(9725(a,1),9180(a,1))]. given #9268 (H,wt=26): 9762 T(x,y \ (z \ ((u \ w) \ v5))) != v6 | T(x,y \ (z \ ((w \ u) * v5))) = v6. [para(9744(a,1),6105(a,1))]. given #9269 (H,wt=27): 9617 T(x,T(y,z \ (u \ (u / w))) / (w * z)) = T(x,(z \ (u \ (u / w))) * y). [hyper(5779,a,9615,a),flip(a)]. given #9270 (H,wt=25): 9781 T(x,T(y,z \ (u \ 1)) / (u * z)) = T(x,(z \ (w \ (w / u))) * y). [para(9623(a,1),9617(a,1,2,1))]. given #9271 (H,wt=23): 9782 T(x,(((y * z) \ 1) \ 1) \ u) = T(x,(z \ (w \ (w / y))) * u). [para(6099(a,1),9781(a,1,2))]. given #9272 (H,wt=19): 9784 T(x,(y \ (z \ (z / u))) * w) = T(x,(u * y) \ w). [hyper(6116,a,9782,a),flip(a)]. given #9273 (H,wt=17): 9785 T(x,(y \ (1 / z)) * u) = T(x,(z * y) \ u). [para(60(a,1),9784(a,1,2,1,2))]. given #9274 (H,wt=19): 9786 T(x,((y \ z) * u) \ w) = T(x,(u \ (z \ y)) * w). [para(72(a,1),9784(a,1,2,1,2,2)),flip(a)]. given #9275 (H,wt=27): 9652 T(T(x,K(y,(z / u) \ w)),y * ((u / z) * w)) = T(x,((z / u) \ w) * y). [hyper(6146,a,9644,a),flip(a)]. given #9276 (H,wt=27): 9662 T(x,K(y,(z * u) \ w) * ((z * u) \ w)) = T(x,T((u \ (z \ 1)) * w,y)). [para(8604(a,1),9646(a,1,2)),flip(a)]. given #9277 (H,wt=21): 9789 T(x,T((y \ (z \ 1)) * u,w)) = T(x,T((z * y) \ u,w)). [para(2692(a,2),9662(a,1,2)),flip(a)]. given #9278 (H,wt=19): 9790 T(x,T((y * z) \ 1,u)) = T(x,T(z \ (y \ 1),u)). [para(3(a,1),9789(a,1,2,1)),flip(a)]. given #9279 (H,wt=19): 9793 T(x,T(y \ (z \ 1),u)) = T(x,T(z * y,u) \ 1). [hyper(58,a,4491,a(flip),b,9790,a),flip(a)]. given #9280 (H,wt=19): 9794 T(x,T((y \ 1) / z,u)) = T(x,T(z * y,u) \ 1). [hyper(58,a,6510,a,b,9793,a)]. given #9281 (H,wt=21): 9791 T(x,T(((1 / y) * z) \ u,w)) = T(x,T((z \ y) * u,w)). [para(74(a,1),9789(a,1,2,1,1,2)),flip(a)]. given #9282 (H,wt=27): 9682 K(x,y) * T(T(x,y),z \ (u \ (w \ 1))) = T(x,T(z \ ((w * u) \ 1),y)). [para(9681(a,1),5429(a,1,2))]. given #9283 (H,wt=23): 9795 T(x,T(y \ ((z * u) \ 1),w)) = T(x,T(y \ (u \ (z \ 1)),w)). [hyper(5431,a,9682,a),flip(a)]. given #9284 (H,wt=23): 9796 T(x,T(y \ (z \ (u \ 1)),w)) = T(x,T((u * z) * y,w) \ 1). [hyper(58,a,9793,a(flip),b,9795,a),flip(a)]. given #9285 (H,wt=27): 9697 T(x \ y,z * (x \ y)) \ (z * ((y \ x) \ 1)) = (x \ y) \ ((y \ x) \ z). [para(9690(a,1),7208(a,1,1))]. given #9286 (H,wt=27): 9717 T(x,y * (z \ (u \ ((1 / z) * w)))) = T(x,y * (T(w,u) / (z * (u * z)))). [hyper(58,a,9498,a(flip),b,9712,a)]. given #9287 (H,wt=27): 9721 T(x,y * ((z \ (((z \ 1) \ u) \ 1)) / w)) = T(x,y / (w * ((z * u) * z))). [hyper(58,a,9504,a,b,9720,a)]. given #9288 (H,wt=27): 9723 T(x,y / (T(z,u \ (w \ 1)) * (w * u))) = T(x,y * (z \ (u \ (w \ 1)))). [hyper(58,a,8514,a(flip),b,9720,a),flip(a)]. given #9289 (H,wt=23): 9799 T(x,y / ((1 / (z * u)) \ w)) = T(x,y * (w \ (u \ (z \ 1)))). [para(6100(a,1),9723(a,1,2,2))]. given #9290 (H,wt=23): 9800 T(x,y * (z \ (1 / (u * w)))) = T(x,y * (z \ (w \ (u \ 1)))). [hyper(58,a,9690,a(flip),b,9799,a)]. given #9291 (H,wt=21): 9801 T(x,y * (z \ (u \ (w \ 1)))) = T(x,y / ((w * u) * z)). [hyper(58,a,9484,a(flip),b,9800,a),flip(a)]. given #9292 (H,wt=21): 9802 T(x,y * (z \ ((1 / u) / w))) = T(x,y / ((w * u) * z)). [hyper(58,a,8712,a,b,9801,a)]. given #9293 (H,wt=27): 9747 T(x,y * (z \ ((u \ (u * (u / w))) * v5))) = T(x,y * (z \ ((w / u) \ v5))). [para(3309(a,1),9743(a,1,2,2,2,1)),flip(a)]. given #9294 (H,wt=23): 9804 T(x,y * (z \ ((u / w) \ v5))) = T(x,y * (z \ ((w / u) * v5))). [para(4(a,1),9747(a,1,2,2,2,1)),flip(a)]. given #9295 (H,wt=27): 9756 T(x,y * (z / (T(u,w \ v5) * (v5 \ w)))) = T(x,y * (z * (u \ (w \ v5)))). [hyper(272,a,8649,a(flip),b,9754,a),flip(a)]. given #9296 (H,wt=25): 9809 T(x,y * (z / ((1 / (u \ w)) \ v5))) = T(x,y * (z * (v5 \ (w \ u)))). [para(4469(a,1),9756(a,1,2,2,2))]. given #9297 (H,wt=25): 9810 T(x,y * (z * (u \ (1 / (w \ v5))))) = T(x,y * (z * (u \ (v5 \ w)))). [hyper(58,a,9643,a(flip),b,9809,a)]. given #9298 (H,wt=23): 9811 T(x,y * (z / ((u \ w) * v5))) = T(x,y * (z * (v5 \ (w \ u)))). [hyper(58,a,9701,a(flip),b,9810,a)]. given #9299 (H,wt=27): 9769 T(x,y) \ T(T(x,(z * (u \ w)) * v5),y) = K(x,T((z / (w \ u)) * v5,y)). [para(9765(a,1),5262(a,1,2,1))]. given #9300 (H,wt=26): 9812 K(x,T((y / (z \ u)) * w,v5)) != v6 | K(x,T((y * (u \ z)) * w,v5)) = v6. [para(9769(a,1),5355(a,1))]. given #9301 (H,wt=27): 9777 T(x,y * ((z \ 1) / ((u * w) * v5))) = T(x,y * (z \ (v5 \ (w \ (u \ 1))))). [hyper(58,a,8519,a(flip),b,9752,a),flip(a)]. given #9302 (H,wt=25): 9813 T(x,y * (z \ (u \ (w \ (v5 \ 1))))) = T(x,y / (((v5 * w) * u) * z)). [hyper(58,a,9483,a(flip),b,9777,a),flip(a)]. given #9303 (H,wt=27): 9778 T(x,(T(1 / y,z \ u) * (u \ z)) * w) = T(x,((1 / (z \ u)) / y) * w). [hyper(272,a,8564,a(flip),b,9766,a),flip(a)]. given #9304 (H,wt=25): 9814 T(x,(T(1 / y,z \ u) * (u \ z)) * w) = T(x,(y * (z \ u)) \ w). [hyper(272,a,8600,a(flip),b,9778,a),flip(a)]. given #9305 (H,wt=23): 9815 T(x,((1 / (y \ z)) \ (1 / u)) * w) = T(x,(u * (z \ y)) \ w). [para(4469(a,1),9814(a,1,2,1))]. given #9306 (H,wt=21): 9816 T(x,(y * (1 / (z \ u))) \ w) = T(x,(y * (u \ z)) \ w). [hyper(58,a,9785,a(flip),b,9815,a)]. given #9307 (H,wt=19): 9817 T(x,(y * (z \ u)) \ w) = T(x,((u \ z) / y) * w). [hyper(58,a,8584,a(flip),b,9816,a),flip(a)]. given #9308 (H,wt=27): 9788 T(T(x,K(y,(z / u) * w)),y * ((z / u) * w)) = T(x,((u / z) \ w) * y). [para(8606(a,1),9652(a,1,1,2))]. given #9309 (H,wt=19): 9819 T(x,((y / z) \ u) * w) = T(x,((z / y) * u) * w). [hyper(6146,a,9788,a),flip(a)]. given #9310 (H,wt=19): 9821 T(x,(((y \ z) / z) * u) * w) = T(x,(y \ u) * w). [para(72(a,1),9819(a,1,2,1,1)),flip(a)]. given #9311 (H,wt=19): 9823 T(x,(((y * z) \ y) * u) * w) = T(x,(z \ u) * w). [para(3308(a,1),9821(a,1,2,1,1))]. given #9312 (H,wt=19): 9824 T(x,((y \ z) \ u) * w) = T(x,((z \ y) * u) * w). [para(5(a,1),9823(a,1,2,1,1,1)),flip(a)]. given #9313 (H,wt=21): 9820 x \ T(x,((y / z) * u) * w) = K(x,((z / y) \ u) * w). [hyper(112,a,9819,a(flip),b,2674,a(flip))]. given #9314 (H,wt=19): 9825 K(x,((y / z) \ u) * w) = K(x,((z / y) * u) * w). [hyper(2691,a,9820,a),flip(a)]. given #9315 (H,wt=27): 9797 K(x,y \ z) * ((z \ y) \ (x * ((y \ z) \ 1))) = (z \ y) \ ((y \ z) \ x). [hyper(58,a,4576,a(flip),b,9697,a)]. given #9316 (H,wt=27): 9798 T(x,y * ((z \ ((u \ 1) * (1 / z))) / w)) = T(x,y / (w * ((z * u) * z))). [para(4104(a,1),9721(a,1,2,2,1,2))]. given #9317 (H,wt=25): 9826 T(x,y * (((z \ (u \ 1)) / z) / w)) = T(x,y / (w * ((z * u) * z))). [para(3530(a,1),9798(a,1,2,2,1))]. given #9318 (H,wt=25): 9827 T(x,y * (((z * u) \ (1 / u)) / w)) = T(x,y / (w * ((u * z) * u))). [para(4858(a,1),9826(a,1,2,2,1))]. given #9319 (H,wt=23): 9828 T(x,y / (z * ((u * w) * u))) = T(x,y / (z * (u * (w * u)))). [hyper(58,a,9724,a(flip),b,9827,a),flip(a)]. given #9320 (H,wt=27): 9818 T(x,y) \ T(T(x,((z \ u) / w) * v5),y) = K(x,T((w * (u \ z)) \ v5,y)). [para(9817(a,1),5262(a,1,2,1))]. given #9321 (H,wt=26): 9829 K(x,T((y * (z \ u)) \ w,v5)) != v6 | K(x,T(((u \ z) / y) * w,v5)) = v6. [para(9818(a,1),5355(a,1))]. given #9322 (H,wt=28): 9757 T(x,y * ((z \ 1) * ((z / u) / L(w,z,z)))) = T(x,y / (z \ ((z * w) * u))). [hyper(58,a,9486,a(flip),b,9755,a),flip(a)]. given #9323 (H,wt=25): 9830 T(x,y * ((z \ 1) * ((z / u) / w))) = T(x,y / (z \ ((z * w) * u))). [hyper(58,a,8739,a(flip),b,9757,a)]. given #9324 (H,wt=23): 9832 T(x,y / (z \ ((z * u) * w))) = T(x,y * (z \ ((z / w) / u))). [hyper(58,a,8519,a(flip),b,9830,a),flip(a)]. given #9325 (H,wt=23): 9833 T(x,y * (((z * u) * w) \ z)) = T(x,y * (z \ ((z / w) / u))). [hyper(58,a,9690,a(flip),b,9832,a)]. given #9326 (H,wt=29): 9608 T(x,y * (T(z,u / (w \ v5)) * (u * (v5 \ w)))) = T(x,y * ((u / (w \ v5)) * z)). [para(2778(a,1),9603(a,1,2,2)),flip(a)]. given #9327 (H,wt=29): 9639 T(x,y * (T(z,(u \ w) \ v5) * ((w \ u) * v5))) = T(x,y * (((u \ w) \ v5) * z)). [para(2778(a,1),9635(a,1,2,2)),flip(a)]. given #9328 (H,wt=29): 9713 T(x,y * (z / (((u \ (w \ 1)) \ 1) * v5))) = T(x,y * (z * (v5 \ ((1 / u) / w)))). [para(4894(a,1),9702(a,1,2,2,2,2)),flip(a)]. given #9329 (H,wt=29): 9719 T(x,y * (z * (((u * w) \ u) * (v5 / v6)))) = T(x,y * (z * (w \ (v5 * (v6 \ 1))))). [hyper(58,a,8686,a(flip),b,9637,a)]. given #9330 (H,wt=25): 9837 T(x,y * (z * (u \ (w * (v5 \ 1))))) = T(x,y * (z * (u \ (w / v5)))). [hyper(58,a,9637,a(flip),b,9719,a),flip(a)]. given #9331 (H,wt=29): 9733 T(x,y * (z \ (u \ ((w / (1 / v5)) \ 1)))) = T(x,y / ((((w \ 1) \ v5) * u) * z)). [para(4201(a,1),9731(a,1,2,2,2,2))]. given #9332 (H,wt=27): 9839 T(x,y / (((z / (1 / u)) * w) * v5)) = T(x,y / ((((z \ 1) \ u) * w) * v5)). [hyper(58,a,9801,a(flip),b,9733,a)]. given #9333 (H,wt=29): 9746 T(x,y * (z \ ((u \ w) \ (T(v5,w \ u) \ 1)))) = T(x,y * (z \ (v5 \ (w \ u)))). [para(3006(a,1),9743(a,2,2,2,2))]. given #9334 (H,wt=27): 9840 T(x,y / ((T(z,u \ w) * (w \ u)) * v5)) = T(x,y * (v5 \ (z \ (u \ w)))). [hyper(58,a,9801,a(flip),b,9746,a)]. given #9335 (H,wt=25): 9841 T(x,y / (((1 / (z \ u)) \ w) * v5)) = T(x,y * (v5 \ (w \ (u \ z)))). [para(4469(a,1),9840(a,1,2,2,1))]. given #9336 (H,wt=25): 9842 T(x,y * (z \ (u \ (1 / (w \ v5))))) = T(x,y * (z \ (u \ (v5 \ w)))). [hyper(58,a,9613,a(flip),b,9841,a)]. given #9337 (H,wt=23): 9843 T(x,y / (((z \ u) * w) * v5)) = T(x,y * (v5 \ (w \ (u \ z)))). [hyper(58,a,9731,a(flip),b,9842,a)]. given #9338 (H,wt=29): 9806 T(x,y * (T(z,(u / w) \ v5) \ ((w / u) * v5))) = T(x,y * (((u / w) \ v5) / z)). [hyper(58,a,8515,a(flip),b,9804,a),flip(a)]. given #9339 (H,wt=29): 9808 T(x,y * (z \ ((u / w) \ (T(v5,w / u) \ 1)))) = T(x,y * (z \ (v5 \ (w / u)))). [para(3006(a,1),9804(a,2,2,2,2))]. given #9340 (H,wt=27): 9845 T(x,y / ((T(z,u / w) * (w / u)) * v5)) = T(x,y * (v5 \ (z \ (u / w)))). [hyper(58,a,9801,a(flip),b,9808,a)]. given #9341 (H,wt=25): 9846 T(x,y / (((1 / (z / u)) \ w) * v5)) = T(x,y * (v5 \ (w \ (u / z)))). [para(4481(a,1),9845(a,1,2,2,1))]. given #9342 (H,wt=25): 9847 T(x,y * (z \ (u \ (1 / (w / v5))))) = T(x,y * (z \ (u \ (v5 / w)))). [hyper(58,a,9613,a(flip),b,9846,a)]. given #9343 (H,wt=23): 9848 T(x,y / (((z / u) * w) * v5)) = T(x,y * (v5 \ (w \ (u / z)))). [hyper(58,a,9731,a(flip),b,9847,a)]. given #9344 (H,wt=27): 9849 T(x,y / ((((z \ 1) \ u) * w) * v5)) = T(x,y * (v5 \ (w \ ((1 / u) / z)))). [hyper(58,a,9839,a(flip),b,9848,a)]. given #9345 (H,wt=27): 9850 T(x,y * (z \ (u \ ((1 / w) / v5)))) = T(x,y * (z \ (u \ (w \ (v5 \ 1))))). [hyper(58,a,9843,a(flip),b,9849,a),flip(a)]. given #9346 (H,wt=25): 9851 T(x,y * (z \ (u \ ((1 / w) / v5)))) = T(x,y / (((v5 * w) * u) * z)). [hyper(272,a,9813,a(flip),b,9850,a),flip(a)]. given #9347 (H,wt=29): 9834 T(x,y * (T(z,u * (w \ v5)) * (u * (w \ v5)))) = T(x,y * ((u / (v5 \ w)) * z)). [para(9690(a,1),9608(a,1,2,2,1))]. given #9348 (H,wt=23): 9852 T(x,y * ((z / (u \ w)) * v5)) = T(x,y * ((z * (w \ u)) * v5)). [para(2778(a,1),9834(a,1,2,2)),flip(a)]. given #9349 (H,wt=24): 9853 T(x,y * ((z * (1 \ L(u,w,w))) * v5)) = T(x,y * ((z * u) * v5)). [hyper(58,a,9461,a(flip),b,9852,a),flip(a)]. given #9350 (H,wt=22): 9854 T(x,y * ((z * L(u,w,w)) * v5)) = T(x,y * ((z * u) * v5)). [para(60(a,1),9853(a,1,2,2,1,2))]. given #9351 (H,wt=29): 9835 T(x,y * (T(z,(u \ w) * v5) * ((u \ w) * v5))) = T(x,y * (((w \ u) \ v5) * z)). [para(8614(a,1),9639(a,1,2,2,1))]. given #9352 (H,wt=23): 9856 T(x,y * (((z \ u) \ w) * v5)) = T(x,y * (((u \ z) * w) * v5)). [para(2778(a,1),9835(a,1,2,2)),flip(a)]. given #9353 (H,wt=25): 9858 T(x,y * (((z \ u) * (w \ 1)) * v5)) = T(x,y * ((w * (u \ z)) \ v5)). [hyper(58,a,9646,a(flip),b,9856,a),flip(a)]. given #9354 (H,wt=23): 9859 T(x,y * ((z * (u \ w)) \ v5)) = T(x,y * (((w \ u) / z) * v5)). [hyper(58,a,8576,a(flip),b,9858,a),flip(a)]. given #9355 (H,wt=25): 9860 T(x,(1 / y) * (((z \ u) / w) * v5)) = T(x,y \ ((w * (u \ z)) \ v5)). [hyper(6105,a,9859,a),flip(a)]. given #9356 (H,wt=23): 9861 T(x,y \ ((z * (u \ w)) \ v5)) = T(x,y \ (((w \ u) / z) * v5)). [hyper(6105,a,9860,a),flip(a)]. given #9357 (H,wt=21): 9862 T(x,y \ (((z \ 1) / u) * w)) = T(x,y \ ((u * z) \ w)). [para(60(a,1),9861(a,1,2,2,1,2)),flip(a)]. given #9358 (H,wt=25): 9865 T(x,y \ (((z \ (u \ z)) / w) * v5)) = T(x,y \ ((w * T(u,z)) \ v5)). [para(2999(a,1),9862(a,1,2,2,1,1))]. given #9359 (H,wt=27): 9863 T(x,y \ ((z * T(u,u \ w)) \ v5)) = T(x,y \ (((w \ (u \ w)) / z) * v5)). [para(99(a,2),9861(a,1,2,2,1,2))]. given #9360 (H,wt=25): 9866 T(x,y \ ((z * T(u,u \ w)) \ v5)) = T(x,y \ ((z * T(u,w)) \ v5)). [hyper(272,a,9865,a(flip),b,9863,a),flip(a)]. given #9361 (H,wt=23): 9867 T(x,y \ ((z * T(u,1)) \ w)) = T(x,y \ ((u \ (1 / z)) * w)). [hyper(58,a,8507,a(flip),b,9866,a),flip(a)]. given #9362 (H,wt=21): 9868 T(x,y \ ((z \ (1 / u)) * w)) = T(x,y \ ((u * z) \ w)). [para(182(a,1),9867(a,1,2,2,1,2)),flip(a)]. given #9363 (H,wt=27): 9864 T(x,y \ (((z \ (z * (z / u))) / w) * v5)) = T(x,y \ ((w * (u / z)) \ v5)). [para(3309(a,1),9861(a,1,2,2,1,2)),flip(a)]. given #9364 (H,wt=23): 9869 T(x,y \ ((z * (u / w)) \ v5)) = T(x,y \ (((w / u) / z) * v5)). [para(4(a,1),9864(a,1,2,2,1,1)),flip(a)]. given #9365 (H,wt=25): 9870 x \ T(x,y \ (((z / u) / w) * v5)) = K(x,y \ ((w * (u / z)) \ v5)). [hyper(112,a,9869,a(flip),b,2674,a(flip))]. given #9366 (H,wt=26): 9872 K(x,y \ ((z * (u / w)) \ v5)) != v6 | K(x,y \ (((w / u) / z) * v5)) = v6. [para(9870(a,1),2691(a,1))]. given #9367 (H,wt=29): 9836 T(x,y * (z * (u \ (1 \ (w \ (v5 \ 1)))))) = T(x,y * (z * (u \ ((1 / w) / v5)))). [hyper(58,a,9811,a(flip),b,9713,a)]. given #9368 (H,wt=27): 9873 T(x,y * (z * (u \ ((1 / w) / v5)))) = T(x,y * (z * (u \ (w \ (v5 \ 1))))). [para(60(a,1),9836(a,1,2,2,2,2)),flip(a)]. given #9369 (H,wt=25): 9874 T(x,y * (z * (u \ ((1 / w) / v5)))) = T(x,y * (z / ((v5 * w) * u))). [hyper(272,a,9752,a(flip),b,9873,a),flip(a)]. given #9370 (H,wt=29): 9844 T(x,y * (T(z,(u / w) * v5) \ ((u / w) * v5))) = T(x,y * (((w / u) \ v5) / z)). [para(8620(a,1),9806(a,1,2,2,1))]. given #9371 (H,wt=25): 9875 T(x,y * (((z / u) * w) * (v5 \ 1))) = T(x,y * (((u / z) \ w) / v5)). [hyper(58,a,6178,a(flip),b,9844,a)]. given #9372 (H,wt=27): 9876 T(x,y * (((z / u) * w) * ((1 / v5) \ 1))) = T(x,y * (((u / z) \ w) * v5)). [hyper(272,a,8482,a(flip),b,9875,a),flip(a)]. given #9373 (H,wt=23): 9877 T(x,y * (((z / u) \ w) * v5)) = T(x,y * (((u / z) * w) * v5)). [para(74(a,1),9876(a,1,2,2,2)),flip(a)]. given #9374 (H,wt=27): 9878 T(x,y * (((z / u) \ K(w,u / z)) * v5)) = T(x,y * (T(u / z,w) * v5)). [para(2652(a,2),9877(a,2,2,2,1))]. given #9375 (H,wt=25): 9879 T(x,y * (T((z / u) \ 1,w) * v5)) = T(x,y * (T(u / z,w) * v5)). [para(4458(a,1),9878(a,1,2,2,1))]. given #9376 (H,wt=23): 9880 T(x,y * (T(1 / z,u) * w)) = T(x,y * (T(z \ 1,u) * w)). [para(70(a,1),9879(a,1,2,2,1,1,1)),flip(a)]. given #9377 (H,wt=21): 9881 T(x,y * (T(z \ 1,u) * w)) = T(x,y * (T(z,u) \ w)). [hyper(58,a,9650,a(flip),b,9880,a),flip(a)]. given #9378 (H,wt=23): 9882 T(x,y * (T(z / u,w) \ v5)) = T(x,y * (T(u / z,w) * v5)). [hyper(58,a,9879,a(flip),b,9881,a),flip(a)]. given #9379 (H,wt=30): 9730 T(x,T(K(y,z \ 1) * ((y * z) / u),w)) != v5 | T(x,T(T(y * z,z) / u,w)) = v5. [para(9166(a,2),9729(a,1))]. given #9380 (H,wt=31): 9605 T(x,T(y,z * (u / (w \ v5))) * (z * (u * (v5 \ w)))) = T(x,(z * (u / (w \ v5))) * y). [hyper(5779,a,9603,a),flip(a)]. given #9381 (H,wt=31): 9649 T(T(x,y * ((z \ u) * w)),K(v5,y * ((u \ z) \ w))) = T(x,T(y * ((u \ z) \ w),v5)). [para(9640(a,1),5485(a,1,1))]. given #9382 (H,wt=31): 9770 T(T(x,(y * (z \ u)) * w),K(v5,(y / (u \ z)) * w)) = T(x,T((y / (u \ z)) * w,v5)). [para(9765(a,1),5485(a,1,1))]. given #9383 (H,wt=31): 9805 T(x,T(y,z \ ((u / w) \ v5)) * (z \ ((w / u) * v5))) = T(x,(z \ ((u / w) \ v5)) * y). [hyper(5779,a,9804,a),flip(a)]. given #9384 (H,wt=31): 9822 T(T(x,((y / z) * u) * w),K(v5,((z / y) \ u) * w)) = T(x,T(((z / y) \ u) * w,v5)). [para(9819(a,1),5485(a,1,1))]. given #9385 (H,wt=31): 9855 T(x,y * ((z * u) * (T(w,z * L(u,v5,v5)) \ 1))) = T(x,y * (w \ (z * L(u,v5,v5)))). [para(3006(a,1),9854(a,1,2,2)),flip(a)]. given #9386 (H,wt=28): 9888 T(x,y * (z \ (u * L(w,v5,v5)))) = T(x,y * ((u * w) * (T(z,u * w) \ 1))). [para(8461(a,1),9855(a,1,2,2,2,1)),flip(a)]. given #9387 (H,wt=22): 9889 T(x,y * (z \ (u * L(w,v5,v5)))) = T(x,y * (z \ (u * w))). [para(3006(a,1),9888(a,2,2,2))]. given #9388 (H,wt=25): 9891 T(x,y * (z \ (((1 / u) * w) * v5))) = T(x,y * (z \ ((u \ w) * v5))). [hyper(58,a,9595,a(flip),b,9889,a)]. given #9389 (H,wt=31): 9857 T(x,T(y,((z \ u) \ w) * v5) * (((u \ z) * w) * v5)) = T(x,(((z \ u) \ w) * v5) * y). [hyper(5779,a,9856,a),flip(a)]. given #9390 (H,wt=31): 9883 T(x,T(y,z * (u * (w \ v5))) * (z * (u * (w \ v5)))) = T(x,(z * (u / (v5 \ w))) * y). [para(9643(a,1),9605(a,1,2,1))]. given #9391 (H,wt=26): 9895 T(x,(y * (z / (u \ w))) * v5) != v6 | T(x,(y * (z * (w \ u))) * v5) = v6. [para(9883(a,1),5779(a,1))]. given #9392 (H,wt=31): 9884 T(T(x,y * ((z \ u) * w)),K(v5,y * ((z \ u) * w))) = T(x,T(y * ((u \ z) \ w),v5)). [para(9663(a,1),9649(a,1,2))]. given #9393 (H,wt=23): 9896 T(x,T(y * ((z \ u) \ w),v5)) = T(x,T(y * ((u \ z) * w),v5)). [hyper(5497,a,9884,a),flip(a)]. given #9394 (H,wt=26): 9897 T(x,T(y * ((z \ u) \ w),v5)) != v6 | T(x,T(y * ((u \ z) * w),v5)) = v6. [para(9884(a,1),5497(a,1))]. given #9395 (H,wt=31): 9885 T(T(x,(y * (z \ u)) * w),K(v5,(y * (z \ u)) * w)) = T(x,T((y / (u \ z)) * w,v5)). [para(9771(a,1),9770(a,1,2))]. given #9396 (H,wt=23): 9898 T(x,T((y / (z \ u)) * w,v5)) = T(x,T((y * (u \ z)) * w,v5)). [hyper(5497,a,9885,a),flip(a)]. given #9397 (H,wt=27): 9899 T(x,T((y * (z \ (z * (z / u)))) * w,v5)) = T(x,T((y / (u / z)) * w,v5)). [para(3309(a,1),9898(a,1,2,1,1,2)),flip(a)]. given #9398 (H,wt=23): 9900 T(x,T((y / (z / u)) * w,v5)) = T(x,T((y * (u / z)) * w,v5)). [para(4(a,1),9899(a,1,2,1,1,2)),flip(a)]. given #9399 (H,wt=21): 9903 T(x,T((y / (1 / z)) * u,w)) = T(x,T((y * z) * u,w)). [para(70(a,1),9900(a,2,2,1,1,2))]. given #9400 (H,wt=27): 9901 T(x,T((y * (z / u)) * (w \ (w / v5)),v6)) = T(x,T((y / (u / z)) / v5,v6)). [hyper(9728,a,9900,a),flip(a)]. given #9401 (H,wt=23): 9905 T(x,T((y / (z / u)) / w,v5)) = T(x,T((y * (u / z)) / w,v5)). [hyper(9728,a,9901,a),flip(a)]. given #9402 (H,wt=26): 9906 T(x,T((y / (z / u)) / w,v5)) != v6 | T(x,T((y * (u / z)) / w,v5)) = v6. [para(9901(a,1),9728(a,1))]. given #9403 (H,wt=27): 9907 T(x,T(T((y * z) * z,z) / u,w)) = T(x,T((z / ((1 / z) / y)) / u,w)). [para(3102(a,2),9905(a,2,2,1,1)),flip(a)]. given #9404 (H,wt=27): 9908 T(x,T(T((y * z) * z,z) / u,w)) = T(x,T((z * ((y \ 1) \ z)) / u,w)). [para(4905(a,1),9907(a,2,2,1,1))]. given #9405 (H,wt=31): 9886 T(x,T(y,z \ ((u / w) * v5)) * (z \ ((u / w) * v5))) = T(x,(z \ ((w / u) \ v5)) * y). [para(9670(a,1),9805(a,1,2,1))]. given #9406 (H,wt=23): 9909 T(x,(y \ ((z / u) \ w)) * v5) = T(x,(y \ ((u / z) * w)) * v5). [hyper(5779,a,9886,a),flip(a)]. given #9407 (H,wt=25): 9910 T(x,((1 / y) \ ((z / u) * w)) * v5) = T(x,(y * ((u / z) \ w)) * v5). [hyper(58,a,8589,a(flip),b,9909,a),flip(a)]. given #9408 (H,wt=23): 9911 T(x,(y * ((z / u) \ w)) * v5) = T(x,(y * ((u / z) * w)) * v5). [hyper(58,a,8589,a(flip),b,9910,a),flip(a)]. given #9409 (H,wt=25): 9912 T(x,(y * ((z / u) \ (w \ 1))) * v5) = T(x,(y * ((u / z) / w)) * v5). [hyper(272,a,8675,a(flip),b,9911,a),flip(a)]. given #9410 (H,wt=23): 9914 T(x,(y / (z * (u / w))) * v5) = T(x,(y * ((w / u) / z)) * v5). [hyper(58,a,9773,a(flip),b,9912,a)]. given #9411 (H,wt=27): 9913 T(x,(y * ((z / u) * T(w,u / z))) * v5) = T(x,(y * (w / (u / z))) * v5). [hyper(58,a,8674,a(flip),b,9911,a),flip(a)]. given #9412 (H,wt=25): 9916 T(x,(y * (z / ((u / w) \ 1))) * v5) = T(x,(y * (z / (w / u))) * v5). [para(4480(a,1),9913(a,1,2,1,2))]. given #9413 (H,wt=23): 9917 T(x,(y * (z / (u / w))) * v5) = T(x,(y * (z * (w / u))) * v5). [hyper(58,a,9174,a(flip),b,9916,a),flip(a)]. given #9414 (H,wt=29): 9915 T(x,(K(y,(z / u) / w) / (w * (u / z))) * v5) = T(x,T((z / u) / w,y) * v5). [para(2692(a,2),9914(a,2,2,1))]. given #9415 (H,wt=25): 9918 T(x,T(1 / (y * (z / u)),w) * v5) = T(x,T((u / z) / y,w) * v5). [para(9168(a,1),9915(a,1,2,1))]. given #9416 (H,wt=23): 9919 T(x,T(y * (z / u),w) \ v5) = T(x,T((u / z) / y,w) * v5). [hyper(58,a,8621,a(flip),b,9918,a)]. given #9417 (H,wt=31): 9887 T(T(x,((y / z) * u) * w),K(v5,((y / z) * u) * w)) = T(x,T(((z / y) \ u) * w,v5)). [para(9825(a,1),9822(a,1,2))]. given #9418 (H,wt=23): 9920 T(x,T(((y / z) \ u) * w,v5)) = T(x,T(((z / y) * u) * w,v5)). [hyper(5497,a,9887,a),flip(a)]. given #9419 (H,wt=23): 9921 T(x,T(((y / 1) * z) * u,y)) = T(x,y * (y * (z * (u / y)))). [hyper(6511,a,9920,a),flip(a)]. given #9420 (H,wt=21): 9922 T(x,y * (y * (z * (u / y)))) = T(x,T((y * z) * u,y)). [para(70(a,1),9921(a,1,2,1,1,1)),flip(a)]. given #9421 (H,wt=31): 9894 T(x,T(y,((z \ u) * w) * v5) * (((z \ u) * w) * v5)) = T(x,(((u \ z) \ w) * v5) * y). [para(9824(a,1),9857(a,1,2,1))]. given #9422 (H,wt=26): 9923 T(x,(((y \ z) \ u) * w) * v5) != v6 | T(x,(((z \ y) * u) * w) * v5) = v6. [para(9894(a,1),5779(a,1))]. given #9423 (H,wt=31): 9904 T(x,T((y * (z / u)) * (T(w,y / (u / z)) \ 1),v5)) = T(x,T(w \ (y / (u / z)),v5)). [para(3006(a,1),9900(a,1,2,1)),flip(a)]. given #9424 (H,wt=31): 9924 T(x,T((y * (z / u)) * (T(w,y * (z / u)) \ 1),v5)) = T(x,T(w \ (y / (u / z)),v5)). [para(9693(a,1),9904(a,1,2,1,2,1))]. given #9425 (H,wt=23): 9925 T(x,T(y \ (z / (u / w)),v5)) = T(x,T(y \ (z * (w / u)),v5)). [para(3006(a,1),9924(a,1,2,1)),flip(a)]. given #9426 (H,wt=25): 9926 T(x,T(y \ (z * ((z / u) / 1)),w)) = T(x,T(y \ ((u \ z) * z),w)). [para(3471(a,1),9925(a,1,2,1,2)),flip(a)]. given #9427 (H,wt=23): 9927 T(x,T(y \ ((z \ u) * u),w)) = T(x,T(y \ (u * (u / z)),w)). [para(70(a,1),9926(a,1,2,1,2,2)),flip(a)]. given #9428 (H,wt=33): 8887 R(x,y * (z / y),(y * (z / y)) \ ((y \ 1) \ 1)) = L(x,(1 / y) * (z \ 1),y * (z / y)). [para(6827(a,1),8884(a,2,2))]. given #9429 (H,wt=33): 8908 T(x,y * (T(z,u * (w * (1 / v5))) * (u * (w / v5)))) = T(x,y * ((u * (w * (1 / v5))) * z)). [para(2778(a,1),8904(a,1,2,2)),flip(a)]. given #9430 (H,wt=31): 9929 T(x,y * (T(z,u * (w / v5)) * (u * (w / v5)))) = T(x,y * ((u * (w * (1 / v5))) * z)). [para(8550(a,1),8908(a,1,2,2,1))]. given #9431 (H,wt=25): 9930 T(x,y * ((z * (u * (1 / w))) * v5)) = T(x,y * ((z * (u / w)) * v5)). [para(2778(a,1),9929(a,1,2,2)),flip(a)]. given #9432 (H,wt=27): 9931 T(x,y * ((z \ (u * (1 / w))) * v5)) = T(x,y * (((z \ 1) * (u / w)) * v5)). [hyper(58,a,8842,a(flip),b,9930,a)]. given #9433 (H,wt=25): 9932 T(x,y * ((z \ (u * (1 / w))) * v5)) = T(x,y * ((z \ (u / w)) * v5)). [hyper(272,a,8842,a(flip),b,9931,a),flip(a)]. given #9434 (H,wt=33): 9300 L(x,y * (z * (u \ (K(w,w \ 1) * v5))),v6) = L(x,y * (z * ((((w * u) \ 1) * w) * v5)),v6). [para(5796(a,1),9288(a,1,2,2,2)),flip(a)]. given #9435 (H,wt=33): 9601 ((x / y) * (y * (1 / z))) / ((y \ 1) * (1 / (z / y))) = L(R(x,y \ 1,1 / (z / y)),y,y). [para(9600(a,1),6786(a,2,1)),flip(a)]. given #9436 (H,wt=33): 9893 T(x,y * (z \ ((u \ w) * (T(v5,(1 / u) * w) \ 1)))) = T(x,y * (z \ (v5 \ ((1 / u) * w)))). [para(3006(a,1),9891(a,1,2,2,2)),flip(a)]. given #9437 (H,wt=31): 9934 T(x,y * (z \ ((u \ w) * (T(v5,u \ w) \ 1)))) = T(x,y * (z \ (v5 \ ((1 / u) * w)))). [para(5982(a,1),9893(a,1,2,2,2,2,1))]. given #9438 (H,wt=25): 9935 T(x,y * (z \ (u \ ((1 / w) * v5)))) = T(x,y * (z \ (u \ (w \ v5)))). [para(3006(a,1),9934(a,1,2,2,2)),flip(a)]. given #9439 (H,wt=25): 9936 T(x,y * (T(z,u) / (w * (u * w)))) = T(x,y * (w \ (u \ (w \ z)))). [hyper(58,a,9717,a(flip),b,9935,a)]. given #9440 (H,wt=33): 9928 R(x,y * (z / y),y * (((z / y) / (1 / y)) \ 1)) = L(x,(1 / y) * (z \ 1),y * (z / y)). [para(5109(a,1),8887(a,1,3))]. given #9441 (H,wt=30): 9937 R(x,y * (z / y),y * (L(z,y,y) \ 1)) = L(x,(1 / y) * (z \ 1),y * (z / y)). [para(3105(a,1),9928(a,1,3,2,1))]. given #9442 (H,wt=29): 9938 R(x,y * (z / y),(1 / y) \ (z \ 1)) = L(x,(1 / y) * (z \ 1),y * (z / y)). [para(3801(a,1),9937(a,1,3))]. given #9443 (H,wt=33): 9933 L(x,y * (z * ((u \ w) * K(v5,v5 \ 1))),v6) = L(x,y * (z * ((((v5 * u) \ 1) * v5) * w)),v6). [para(2142(a,1),9300(a,1,2,2,2))]. given #9444 (H,wt=27): 9939 L(x,y * (z * ((((u * w) \ 1) * u) * v5)),v6) = L(x,y * (z * (w \ v5)),v6). [hyper(58,a,2467,a(flip),b,9933,a),flip(a)]. given #9445 (H,wt=34): 8643 (T(x,x \ y) / y) \ ((L(y \ x,y \ x,y \ x) * z) * u) = (y \ x) \ (((y \ x) * z) * u). [para(5727(a,1),8435(a,1,1))]. given #9446 (H,wt=31): 9941 (T(x,x \ y) / y) \ (((T(x,x \ y) / y) * z) * u) = (y \ x) \ (((y \ x) * z) * u). [para(5727(a,1),8643(a,1,2,1,1))]. given #9447 (H,wt=34): 9051 (x * ((x \ y) * z)) * ((x \ (x * ((x \ y) * z))) \ 1) = L(x,y * T(x * z,x),y * (z * x)). [hyper(58,a,7693,a,b,9049,a)]. given #9448 (H,wt=32): 9943 (x * ((x \ y) * z)) * ((x \ (x * ((x \ y) * z))) \ 1) = L(x,y * (z * x),y * (z * x)). [hyper(272,a,9291,a(flip),b,9051,a),flip(a)]. given #9449 (H,wt=28): 9944 (x * ((x \ y) * z)) * (((x \ y) * z) \ 1) = L(x,y * (z * x),y * (z * x)). [para(4(a,1),9943(a,1,2,1))]. given #9450 (H,wt=25): 9945 L(x,(x \ y) * z,(x \ y) * z) = L(x,y * (z * x),y * (z * x)). [hyper(2026,a,9944,a)]. given #9451 (H,wt=34): 9314 ((1 / ((1 / x) \ y)) \ a(1 / ((1 / x) \ y),x,1 * (y \ (1 / x)))) * x = x / ((y * x) \ 1). [para(9312(a,1),6797(a,1,1,2))]. given #9452 (H,wt=32): 9947 ((1 / ((1 / x) \ y)) \ a(1 / ((1 / x) \ y),x,y \ (1 / x))) * x = x / ((y * x) \ 1). [para(2(a,1),9314(a,1,1,2,3))]. given #9453 (H,wt=32): 9948 ((1 / ((1 / x) \ y)) \ a(1 / ((1 / x) \ y),x,y \ (x \ 1))) * x = x / ((y * x) \ 1). [para(2606(a,1),9947(a,1,1,2))]. given #9454 (H,wt=32): 9949 ((1 / ((1 / x) \ y)) \ a(((1 / x) \ y) \ 1,x,y \ (x \ 1))) * x = x / ((y * x) \ 1). [para(2517(a,1),9948(a,1,1,2))]. given #9455 (H,wt=32): 9950 ((1 / ((1 / x) \ y)) \ a((y \ 1) * (x \ 1),x,y \ (x \ 1))) * x = x / ((y * x) \ 1). [para(3733(a,1),9949(a,1,1,2,1))]. given #9456 (H,wt=34): 9365 L(x,y * ((1 * (1 / (L(z,u,u) \ 1))) * w),v5) = L(x,y * (((u * ((z \ u) \ 1)) * 1) * w),v5). [para(4950(a,1),9364(a,1,2,2,1,1)),flip(a)]. given #9457 (H,wt=32): 9951 L(x,y * ((1 * (1 / (L(z,u,u) \ 1))) * w),v5) = L(x,y * ((u * ((z \ u) \ 1)) * w),v5). [para(3(a,1),9365(a,2,2,2,1))]. given #9458 (H,wt=30): 9953 L(x,y * ((1 * (1 / (L(z,u,u) \ 1))) * w),v5) = L(x,y * ((u / (z \ u)) * w),v5). [hyper(272,a,9361,a(flip),b,9951,a),flip(a)]. given #9459 (H,wt=26): 9955 L(x,y * ((1 * (1 / (L(z,u,u) \ 1))) * w),v5) = L(x,y * (z * w),v5). [para(72(a,1),9953(a,2,2,2,1))]. given #9460 (H,wt=22): 9958 L(x,y * ((1 * L(z,u,u)) * w),v5) = L(x,y * (z * w),v5). [para(72(a,1),9955(a,1,2,2,1,2))]. given #9461 (H,wt=20): 9960 L(x,y * (L(z,u,u) * w),v5) = L(x,y * (z * w),v5). [para(2(a,1),9958(a,1,2,2,1))]. given #9462 (H,wt=27): 9961 L(x,y * (L(R(z,u,w),v5,v5) * (u * w)),v6) = L(x,y * ((z * u) * w),v6). [para(93(a,1),9960(a,2,2,2))]. given #9463 (H,wt=24): 9962 L(x,y * ((L(z,u,u) * w) * v5),v6) = L(x,y * ((z * w) * v5),v6). [para(451(a,1),9961(a,1,2,2))]. given #9464 (H,wt=31): 9963 L(x,y * ((z * u) * T(w,L(z,v5,v5) * u)),v6) = L(x,y * (w * (L(z,v5,v5) * u)),v6). [para(98(a,1),9962(a,1,2,2)),flip(a)]. given #9465 (H,wt=28): 9964 L(x,y * ((z * u) * T(w,z * u)),v5) = L(x,y * (w * (L(z,v6,v6) * u)),v5). [para(8460(a,1),9963(a,1,2,2,2))]. given #9466 (H,wt=24): 9965 L(x,y * (z * (L(u,w,w) * v5)),v6) = L(x,y * (z * (u * v5)),v6). [para(98(a,1),9964(a,1,2,2)),flip(a)]. given #9467 (H,wt=26): 9967 L(x,y * (z * (L(T(u,w),v5,v5) * w)),v6) = L(x,y * (z * (w * u)),v6). [para(2778(a,1),9965(a,2,2,2,2))]. given #9468 (H,wt=24): 9968 L(x,y * (z * (u * L(w,v5,v5))),v6) = L(x,y * (z * (u * w)),v6). [para(2787(a,1),9967(a,1,2,2,2))]. given #9469 (H,wt=27): 9969 L(x,y * (z * (((u \ 1) * w) * v5)),v6) = L(x,y * (z * ((u \ w) * v5)),v6). [hyper(58,a,9303,a(flip),b,9968,a),flip(a)]. given #9470 (H,wt=25): 9971 L(x,y * (z * (((u * w) \ u) * v5)),v6) = L(x,y * (z * (w \ v5)),v6). [hyper(58,a,9939,a(flip),b,9969,a),flip(a)]. given #9471 (H,wt=25): 9972 L(x,y * (z * ((u \ w) \ v5)),v6) = L(x,y * (z * ((w \ u) * v5)),v6). [hyper(58,a,9517,a(flip),b,9971,a),flip(a)]. given #9472 (H,wt=21): 9974 L(x,y * ((z \ u) * ((u \ z) * w)),v5) = L(x,y * w,v5). [para(5(a,1),9972(a,1,2,2)),flip(a)]. given #9473 (H,wt=21): 9975 L(x,y * ((z \ u) \ w),v5) = L(x,y * ((u \ z) * w),v5). [para(5(a,1),9974(a,1,2,2,2)),flip(a)]. given #9474 (H,wt=17): 9978 L(x,(y \ z) * ((z \ y) * u),w) = L(x,u,w). [para(5(a,1),9975(a,1,2)),flip(a)]. given #9475 (H,wt=15): 9982 L(x,(y \ z) \ 1,u) = L(x,z \ y,u). [para(65(a,1),9978(a,1,2)),flip(a)]. given #9476 (H,wt=15): 9988 L(x,(y * z) \ y,u) = L(x,z \ 1,u). [para(4(a,1),9982(a,1,2,1)),flip(a)]. given #9477 (H,wt=15): 9989 L(x,(y / z) \ 1,u) = L(x,z / y,u). [para(3309(a,1),9988(a,1,2)),flip(a)]. given #9478 (H,wt=15): 9990 L(x,T(y \ z,z),u) = L(x,z / y,u). [para(2768(a,2),9989(a,1,2))]. given #9479 (H,wt=17): 9981 L(x,(y \ z) \ u,w) = L(x,(z \ y) * u,w). [para(5(a,1),9978(a,1,2,2)),flip(a)]. given #9480 (H,wt=17): 9983 L(x,T(y,y \ z),u) = L(x,(z \ y) * z,u). [para(203(a,1),9978(a,1,2,2)),flip(a)]. given #9481 (H,wt=15): 9995 L(x,T(y,y \ z),u) = L(x,T(y,z),u). [hyper(272,a,9226,a(flip),b,9983,a),flip(a)]. given #9482 (H,wt=15): 9996 L(x,T(y,z),y \ z) = L(x,y,y \ z). [hyper(58,a,9007,a(flip),b,9995,a),flip(a)]. given #9483 (H,wt=17): 9985 L(x,y / (z \ u),w) = L(x,y * (u \ z),w). [para(6566(a,1),9978(a,1,2))]. given #9484 (H,wt=17): 9986 L(x,(y / z) \ u,w) = L(x,(z / y) * u,w). [para(7299(a,1),9978(a,1,2)),flip(a)]. given #9485 (H,wt=17): 9991 L(x,y / (y * z),u) = L(x,y \ (z \ y),u). [para(3241(a,1),9990(a,1,2)),flip(a)]. given #9486 (H,wt=17): 9994 L(x,((y * z) \ y) * u,w) = L(x,z \ u,w). [para(4(a,1),9981(a,1,2,1)),flip(a)]. given #9487 (H,wt=17): 9998 L(x,y * ((z * u) \ z),w) = L(x,y / u,w). [para(4(a,1),9985(a,1,2,2)),flip(a)]. given #9488 (H,wt=17): 9999 L(x,y * (z \ (z / u)),w) = L(x,y / u,w). [para(74(a,1),9985(a,1,2,2)),flip(a)]. given #9489 (H,wt=17): 10007 L(x,y / (z / u),w) = L(x,y * (u / z),w). [para(3309(a,1),9998(a,1,2,2)),flip(a)]. given #9490 (H,wt=19): 10008 L(x,y * (z * ((z \ 1) / u)),w) = L(x,y / u,w). [hyper(9255,a,9999,a)]. given #9491 (H,wt=19): 10009 L(x,y * ((1 / z) / u),w) = L(x,y / (u * z),w). [para(4802(a,1),10008(a,1,2,2))]. given #9492 (H,wt=19): 10010 L(x,y / (z / (1 / u)),w) = L(x,y / (z * u),w). [hyper(58,a,10007,a,b,10009,a)]. given #9493 (H,wt=21): 9976 L(x,y * ((z / u) \ w),v5) = L(x,y * ((u / z) * w),v5). [para(7299(a,1),9974(a,1,2,2)),flip(a)]. given #9494 (H,wt=21): 9987 L(x,y \ ((1 / z) / u),w) = L(x,y \ (z \ (u \ 1)),w). [hyper(58,a,9224,a(flip),b,9982,a)]. given #9495 (H,wt=21): 10001 L(x,(y / (1 / z)) \ u,w) = L(x,(z \ (y \ 1)) * u,w). [hyper(272,a,9251,a(flip),b,9986,a),flip(a)]. given #9496 (H,wt=21): 10003 a(x,y,((z * u) \ z) * w) = x * L(x \ 1,u \ w,y). [hyper(114,a,9994,a(flip),b,1184,a(flip)),flip(a)]. given #9497 (H,wt=17): 10013 a(x,y,((z * u) \ z) * w) = a(x,y,u \ w). [hyper(272,a,1178,a,b,10003,a),flip(a)]. given #9498 (H,wt=17): 10014 a(x,y,(z \ u) \ w) = a(x,y,(u \ z) * w). [para(5(a,1),10013(a,1,3,1,1)),flip(a)]. given #9499 (H,wt=15): 10016 a(x,y,(z \ u) \ 1) = a(x,y,u \ z). [para(3(a,1),10014(a,2,3))]. given #9500 (H,wt=17): 10015 a(x,y,(z / u) \ w) = a(x,y,(u / z) * w). [para(3309(a,1),10013(a,1,3,1)),flip(a)]. given #9501 (H,wt=17): 10017 a(x,y,(z \ u) \ 1) = a(x,y,(u \ 1) * z). [hyper(272,a,9272,a,b,10016,a),flip(a)]. given #9502 (H,wt=19): 10018 a(x,y,(z / T(u,z)) * 1) = a(x,y,T(z / u,z)). [hyper(58,a,9265,a(flip),b,10015,a),flip(a)]. given #9503 (H,wt=17): 10019 a(x,y,z / T(u,z)) = a(x,y,T(z / u,z)). [para(3(a,1),10018(a,1,3))]. given #9504 (H,wt=15): 10020 a(x,y,T(z / u,z)) = a(x,y,u \ z). [hyper(58,a,9239,a(flip),b,10019,a),flip(a)]. given #9505 (H,wt=21): 10004 L(x,(y \ (y \ (y / z))) * u,w) = L(x,(z * y) \ u,w). [para(3297(a,1),9994(a,1,2,1,1))]. given #9506 (H,wt=21): 10006 L(x,y * ((z * u) \ z),y / u) = L(x,u \ y,u \ y). [hyper(272,a,6982,a(flip),b,9998,a),flip(a)]. given #9507 (H,wt=21): 10011 L(x,(y \ 1) / (z * u),w) = L(x,y \ ((1 / u) / z),w). [hyper(58,a,9218,a(flip),b,10009,a),flip(a)]. given #9508 (H,wt=21): 10022 L(x,y \ ((1 / z) / u),w) = L(x,y \ ((u * z) \ 1),w). [hyper(58,a,9223,a(flip),b,10011,a),flip(a)]. given #9509 (H,wt=21): 10023 L(x,y \ ((z * u) \ 1),w) = L(x,y \ (u \ (z \ 1)),w). [hyper(58,a,9987,a(flip),b,10022,a),flip(a)]. given #9510 (H,wt=19): 10024 L(x,y \ (z \ (u \ 1)),y) = R(x,y,y \ (u * z)). [hyper(58,a,8888,a(flip),b,10023,a),flip(a)]. given #9511 (H,wt=22): 10025 L(R(x,y,y \ (y * z)),(y \ 1) / z,y \ 1) = L(x,y,y). [para(10024(a,1),9216(a,1,1))]. given #9512 (H,wt=18): 10026 L(R(x,y,z),(y \ 1) / z,y \ 1) = L(x,y,y). [para(4(a,1),10025(a,1,1,3))]. given #9513 (H,wt=18): 10027 L(R(x,y,z),z \ (y \ 1),y \ 1) = L(x,y,y). [hyper(58,a,9215,a(flip),b,10026,a)]. given #9514 (H,wt=23): 9992 L(x,(((y \ z) \ 1) \ z) * u,w) = L(x,(y \ (z * z)) * u,w). [hyper(9264,a,9981,a),flip(a)]. given #9515 (H,wt=21): 10028 L(x,(y \ (z * z)) * u,w) = L(x,(z * (z / y)) * u,w). [para(3466(a,1),9992(a,1,2,1)),flip(a)]. given #9516 (H,wt=23): 10000 L(x,y * (T(z,u) \ (u \ 1)),w) = L(x,y / (z / (1 / u)),w). [para(3348(a,1),9985(a,1,2,2)),flip(a)]. given #9517 (H,wt=21): 10029 L(x,y / (z / (1 / u)),w) = L(x,y * (u \ (z \ 1)),w). [para(4352(a,1),10000(a,1,2,2)),flip(a)]. given #9518 (H,wt=19): 10030 L(x,y * (z \ (u \ 1)),w) = L(x,y / (u * z),w). [hyper(58,a,10010,a(flip),b,10029,a),flip(a)]. given #9519 (H,wt=19): 10031 L(x,y * ((z \ 1) / u),w) = L(x,y / (u * z),w). [hyper(58,a,9270,a,b,10030,a)]. given #9520 (H,wt=19): 10032 L(x,y * (z \ (1 / u)),w) = L(x,y / (u * z),w). [hyper(58,a,2468,a,b,10030,a)]. given #9521 (H,wt=23): 10012 L(x,(y \ ((y * z) \ 1)) * u,w) = L(x,(y * (z * y)) \ u,w). [para(3589(a,1),10001(a,1,2,1)),flip(a)]. given #9522 (H,wt=23): 10033 L(x,y * (z \ T(u / w,u)),v5) = L(x,y / ((u \ w) * z),v5). [para(3063(a,2),10032(a,1,2,2,2))]. given #9523 (H,wt=24): 10002 L(x,(y / (1 / z)) \ u,w) != v5 | L(x,(z \ (y \ 1)) * u,w) = v5. [para(9986(a,2),9284(a,1))]. given #9524 (H,wt=25): 9977 x * L(x \ 1,y * ((z \ u) * w),v5) = a(x,v5,y * ((u \ z) \ w)). [hyper(114,a,9975,a(flip),b,1184,a(flip))]. given #9525 (H,wt=21): 10034 a(x,y,z * ((u \ w) \ v5)) = a(x,y,z * ((w \ u) * v5)). [hyper(1204,a,9977,a),flip(a)]. given #9526 (H,wt=24): 10035 a(x,y,z * ((u \ w) \ v5)) != v6 | a(x,y,z * ((w \ u) * v5)) = v6. [para(9977(a,1),1204(a,1))]. given #9527 (H,wt=25): 9993 L(x,(y \ z) \ u,(w \ v5) \ v6) = L(x,(z \ y) * u,(v5 \ w) * v6). [hyper(272,a,9093,a(flip),b,9981,a),flip(a)]. given #9528 (H,wt=25): 10005 L(x,((y * L(z,z,u)) \ L(z,z,u)) * w,v5) = L(x,T(y,z) \ w,v5). [para(6304(a,1),9994(a,1,2,1,1))]. given #9529 (H,wt=22): 10038 L(x,T(y \ 1,L(z,z,u)) * w,v5) = L(x,T(y,z) \ w,v5). [para(2258(a,2),10005(a,1,2,1))]. given #9530 (H,wt=19): 10039 L(x,T(y \ 1,z) * u,w) = L(x,T(y,z) \ u,w). [para(345(a,1),10038(a,1,2,1,2))]. given #9531 (H,wt=17): 10040 L(x,T(y \ 1,z),u) = L(x,T(y,z) \ 1,u). [para(3(a,1),10039(a,1,2))]. given #9532 (H,wt=17): 10041 L(x,1 / T(y,z),u) = L(x,T(y \ 1,z),u). [hyper(272,a,2461,a,b,10040,a)]. given #9533 (H,wt=25): 10021 L(x,y * ((z * u) \ z),y * ((w * u) \ w)) = L(x,u \ y,u \ y). [hyper(58,a,9112,a,b,10006,a)]. given #9534 (H,wt=25): 10037 L(x,y \ (z \ u),y \ (z \ u)) = L(x,(u \ z) * y,(u \ z) * y). [hyper(5196,a,9993,a)]. given #9535 (H,wt=28): 9997 L(T(x,y * (y / z)),y * (z \ y),y * (z \ y)) = T(x,1 / ((y * y) / z)). [hyper(58,a,9116,a(flip),b,9985,a),flip(a)]. given #9536 (H,wt=28): 10036 a(x,y,z * ((u \ w) \ v5)) != v6 \ v7 | v6 * a(x,y,z * ((w \ u) * v5)) = v7. [para(9977(a,1),1205(a,2)),flip(a)]. given #9537 (H,wt=29): 9979 L(x,y * ((z \ T(u / w,u)) * 1),v5) = L(x,y * ((z \ 1) * ((u \ w) \ 1)),v5). [para(4023(a,1),9975(a,1,2,2)),flip(a)]. given #9538 (H,wt=27): 10044 L(x,y * ((z \ T(u / w,u)) * 1),v5) = L(x,y * ((z \ 1) / (u \ w)),v5). [hyper(272,a,9232,a(flip),b,9979,a),flip(a)]. given #9539 (H,wt=27): 10045 L(x,y * ((z \ T(u / w,u)) * 1),v5) = L(x,y * ((z \ 1) * (w \ u)),v5). [hyper(272,a,9297,a(flip),b,10044,a),flip(a)]. given #9540 (H,wt=25): 10046 L(x,y * ((z \ T(u / w,u)) * 1),v5) = L(x,y * (z \ (w \ u)),v5). [hyper(272,a,9268,a(flip),b,10045,a),flip(a)]. given #9541 (H,wt=23): 10047 L(x,y * (z \ T(u / w,u)),v5) = L(x,y * (z \ (w \ u)),v5). [para(3(a,1),10046(a,1,2,2))]. given #9542 (H,wt=21): 10048 L(x,y / ((z \ u) * w),v5) = L(x,y * (w \ (u \ z)),v5). [hyper(58,a,10033,a(flip),b,10047,a)]. given #9543 (H,wt=25): 10049 x * L(x \ 1,y * (z \ (u \ w)),v5) = a(x,v5,y / ((w \ u) * z)). [hyper(114,a,10048,a(flip),b,1184,a(flip))]. given #9544 (H,wt=21): 10050 a(x,y,z / ((u \ w) * v5)) = a(x,y,z * (v5 \ (w \ u))). [hyper(1204,a,10049,a),flip(a)]. given #9545 (H,wt=24): 10051 a(x,y,z / ((u \ w) * v5)) != v6 | a(x,y,z * (v5 \ (w \ u))) = v6. [para(10049(a,1),1204(a,1))]. given #9546 (H,wt=29): 10042 x * L(x \ 1,(y \ z) * u,(y \ z) * u) = a(x,u \ (z \ y),u \ (z \ y)). [hyper(114,a,10037,a(flip),b,1184,a(flip))]. given #9547 (H,wt=25): 10052 a(x,y \ (z \ u),y \ (z \ u)) = a(x,(u \ z) * y,(u \ z) * y). [hyper(1204,a,10042,a),flip(a)]. given #9548 (H,wt=30): 9980 L(x,(y \ z) * ((z \ y) * ((u \ w) * v5)),v6) = L(x,((u \ 1) * w) * L(v5,u,u),v6). [hyper(58,a,9303,a(flip),b,9978,a)]. given #9549 (H,wt=22): 10053 L(x,((y \ 1) * z) * L(u,y,y),w) = L(x,(y \ z) * u,w). [hyper(58,a,9978,a(flip),b,9980,a),flip(a)]. given #9550 (H,wt=19): 10054 L(x,((y \ 1) * z) * u,w) = L(x,(y \ z) * u,w). [hyper(9236,a,10053,a)]. given #9551 (H,wt=19): 10055 L(x,((y \ 1) * z) \ u,w) = L(x,(z \ y) * u,w). [hyper(58,a,9317,a(flip),b,10053,a)]. given #9552 (H,wt=19): 10057 L(x,((1 / y) \ z) * u,w) = L(x,(y * z) * u,w). [para(74(a,1),10054(a,1,2,1,1)),flip(a)]. given #9553 (H,wt=19): 10058 L(x,(y \ (1 / z)) * u,w) = L(x,(z * y) \ u,w). [para(74(a,1),10055(a,1,2,1,1)),flip(a)]. given #9554 (H,wt=17): 10062 L(x,(y * z) \ 1,u) = L(x,z \ (1 / y),u). [para(3(a,1),10058(a,1,2)),flip(a)]. given #9555 (H,wt=17): 10063 L(x,(y * z) \ 1,u) = L(x,z \ (y \ 1),u). [hyper(272,a,2466,a(flip),b,10062,a),flip(a)]. given #9556 (H,wt=19): 10060 L(x,(y * (z / y)) * u,w) = L(x,T(z,y) * u,w). [para(2920(a,2),10057(a,1,2,1)),flip(a)]. given #9557 (H,wt=21): 10059 L(x,(y * z) * (u * y),w) = L(x,y * ((z * u) * y),w). [para(27(a,1),10057(a,1,2)),flip(a)]. given #9558 (H,wt=25): 10061 L(x,(y * z) \ K(u,w \ 1),v5) = L(x,(z \ (1 / y)) * K(w,u),v5). [hyper(58,a,9308,a(flip),b,10058,a),flip(a)]. given #9559 (H,wt=23): 10067 L(x,(y * z) \ K(u,w \ 1),v5) = L(x,(y * z) \ K(w,u),v5). [hyper(272,a,10058,a(flip),b,10061,a),flip(a)]. given #9560 (H,wt=25): 10065 L(x,T(1 / (y * z),y) * u,w) = L(x,(y \ (y \ (y / z))) * u,w). [para(4603(a,1),10060(a,1,2,1)),flip(a)]. given #9561 (H,wt=21): 10068 L(x,T(1 / (y * z),y) * u,w) = L(x,(z * y) \ u,w). [hyper(272,a,10004,a(flip),b,10065,a),flip(a)]. given #9562 (H,wt=19): 10069 L(x,((y \ 1) / z) * u,w) = L(x,(z * y) \ u,w). [para(4920(a,1),10068(a,1,2,1))]. given #9563 (H,wt=25): 10066 L(x,(y * z) * ((u \ 1) * y),w) = L(x,y * ((T(u,z) \ z) * y),w). [para(2935(a,2),10059(a,2,2,2,1))]. given #9564 (H,wt=23): 10070 L(x,y * ((T(z,u) \ u) * y),w) = L(x,(y * u) * (z \ y),w). [hyper(58,a,9268,a(flip),b,10066,a),flip(a)]. given #9565 (H,wt=21): 10071 L(x,(y * z) * (u \ y),w) = L(x,y * ((z / u) * y),w). [hyper(58,a,9363,a(flip),b,10070,a),flip(a)]. given #9566 (H,wt=27): 10064 L(x,(y * ((z \ (y \ 1)) / y)) * u,w) = L(x,((T(z,y) \ 1) / y) * u,w). [para(4353(a,2),10060(a,2,2,1))]. given #9567 (H,wt=27): 10072 L(x,(y * ((y * z) \ (1 / y))) * u,w) = L(x,((T(z,y) \ 1) / y) * u,w). [para(4648(a,1),10064(a,1,2,1,2))]. given #9568 (H,wt=25): 10073 L(x,((y / (1 / z)) \ 1) * u,w) = L(x,((T(y,z) \ 1) / z) * u,w). [para(4867(a,1),10072(a,1,2,1))]. given #9569 (H,wt=23): 10074 L(x,((T(y,z) \ 1) / z) * u,w) = L(x,(y / (1 / z)) \ u,w). [hyper(58,a,9218,a(flip),b,10073,a),flip(a)]. given #9570 (H,wt=23): 10075 L(x,((T(y,z) \ 1) / z) * u,w) = L(x,(z \ (y \ 1)) * u,w). [hyper(272,a,10001,a(flip),b,10074,a),flip(a)]. given #9571 (H,wt=21): 10076 L(x,(y * T(z,y)) \ u,w) = L(x,(y \ (z \ 1)) * u,w). [hyper(58,a,10069,a(flip),b,10075,a)]. given #9572 (H,wt=19): 10077 L(x,(y \ (z \ 1)) * u,w) = L(x,(z * y) \ u,w). [para(98(a,1),10076(a,1,2,1)),flip(a)]. given #9573 (H,wt=23): 10078 L(x,y \ ((z \ 1) * K(y,u)),w) = L(x,(z * y) \ K(y,u),w). [para(4298(a,2),10077(a,1,2))]. given #9574 (H,wt=21): 10079 L(x,(y * z) \ K(z,u),w) = L(x,z \ (y \ K(z,u)),w). [para(5586(a,1),10078(a,1,2,2)),flip(a)]. given #9575 (H,wt=23): 10080 L(x,(y * z) \ K(u,z \ 1),w) = L(x,z \ (y \ K(z,u)),w). [hyper(58,a,10067,a,b,10079,a)]. given #9576 (H,wt=35): 8945 L(x * (1 / T(y / z,y)),T(y / z,y),z \ y) = L(x,T(y / z,y),T(y / z,y)) * (y \ z). [hyper(58,a,7790,a(flip),b,8927,a),flip(a)]. given #9577 (H,wt=33): 10081 L(x * (1 / T(y / z,y)),z \ y,z \ y) = L(x,T(y / z,y),T(y / z,y)) * (y \ z). [hyper(58,a,9202,a(flip),b,8945,a)]. given #9578 (H,wt=24): 10082 L(x,T(y / z,y),T(y / z,y)) * (y \ z) = x / ((y \ z) \ 1). [hyper(7173,a,10081,a),flip(a)]. given #9579 (H,wt=22): 10083 L(x,T(y / z,y),z \ y) * (y \ z) = x / ((y \ z) \ 1). [para(8927(a,1),10082(a,1,1))]. given #9580 (H,wt=20): 10084 L(x,y \ z,y \ z) * (z \ y) = x / ((z \ y) \ 1). [para(9202(a,1),10083(a,1,1))]. given #9581 (H,wt=35): 9016 L(x,y,(T(z,u \ (T(w,v5) \ 1)) \ 1) * (u \ T(1 / w,v5))) = L(x,y,(u \ T(1 / w,v5)) / z). [para(8655(a,1),8992(a,1,3,1,1))]. given #9582 (H,wt=35): 9413 ((x * R(y,z,u)) / (T(x,y) * R(y,z,u))) * K(T(x,y),R(y,z,u)) = K(x * y,x * R(y,z,u)). [hyper(272,a,8814,a(flip),b,9411,a),flip(a)]. given #9583 (H,wt=23): 10085 K(x,y) * K(T(y,x),R(x,z,u)) = K(y * x,y * R(x,z,u)). [para(3900(a,1),9413(a,1,1))]. given #9584 (H,wt=23): 10087 K(x,y) * K(y,T(R(x,z,u),x)) = K(y * x,y * R(x,z,u)). [para(5239(a,1),10085(a,1,2))]. given #9585 (H,wt=21): 10088 K(x * y,x * R(y,z,u)) = K(y,x) * K(x,R(y,z,u)). [para(160(a,1),10087(a,1,2,2)),flip(a)]. given #9586 (H,wt=35): 9482 (L(x,y,y) \ z) * (L(x,y,y) \ K(u,L(x,y,y) \ z)) = (x \ (z / x)) * K(u,L(x,y,y) \ z). [para(9477(a,1),6787(a,1,1)),flip(a)]. given #9587 (H,wt=32): 10089 (L(x,y,y) \ 1) * (L(x,y,y) \ K(z,L(x,y,y) \ 1)) = (x \ (1 / x)) * K(z,x \ 1). [para(5975(a,1),9482(a,2,2))]. given #9588 (H,wt=32): 10091 (L(x,y,y) \ 1) * (L(x,y,y) \ K(z,L(x,y,y) \ 1)) = (x \ 1) * (x \ K(z,x \ 1)). [hyper(272,a,6787,a(flip),b,10089,a),flip(a)]. given #9589 (H,wt=30): 10092 (L(x,y,y) \ 1) * (L(x,y,y) \ K(z,L(x,y,y) \ 1)) = (x \ 1) * T(x \ 1,z). [para(2653(a,1),10091(a,2,2))]. given #9590 (H,wt=28): 10093 (L(x,y,y) \ 1) * (L(x,y,y) \ K(z,L(x,y,y) \ 1)) = x \ T(1 / x,z). [hyper(272,a,756,a(flip),b,10092,a),flip(a)]. given #9591 (H,wt=25): 10094 (L(x,y,y) \ 1) * (L(x,y,y) \ K(z,x \ 1)) = x \ T(1 / x,z). [para(5975(a,1),10093(a,1,2,2))]. given #9592 (H,wt=23): 10096 (L(x,y,y) \ 1) * L(T(x \ 1,z),y,y) = x \ T(1 / x,z). [para(6922(a,1),10094(a,1,2))]. given #9593 (H,wt=18): 10097 L(x \ T(1 / x,y),z,z) = x \ T(1 / x,y). [hyper(58,a,7811,a(flip),b,10096,a)]. given #9594 (H,wt=21): 10099 (x \ 1) * (y \ T(1 / y,z)) = x \ (y \ T(1 / y,z)). [hyper(114,a,10097,a(flip),b,2013,a)]. given #9595 (H,wt=21): 10101 (x \ T(1 / x,y)) * (1 / z) = (x \ T(1 / x,y)) / z. [hyper(113,a,10097,a(flip),b,2006,a),flip(a)]. given #9596 (H,wt=21): 10102 1 / (x \ (y \ T(1 / y,z))) = (y \ T(1 / y,z)) \ x. [hyper(4168,a,10099,a(flip))]. given #9597 (H,wt=21): 10104 T(x \ 1,y) * (x \ (1 / z)) = (x \ T(1 / x,y)) / z. [hyper(58,a,7282,a(flip),b,10101,a)]. given #9598 (H,wt=21): 10105 1 / (x \ (y \ T(1 / y,z))) = y * (T(y \ 1,z) \ x). [hyper(272,a,7283,a(flip),b,10102,a),flip(a)]. given #9599 (H,wt=23): 10100 (x * x) * (y \ T(1 / y,z)) = x * (x * (y \ T(1 / y,z))). [hyper(114,a,10097,a(flip),b,6179,a(flip))]. given #9600 (H,wt=29): 10103 T(((x \ 1) \ 1) / (y \ T(1 / y,z)),x \ 1) = 1 / (x \ (y \ T(1 / y,z))). [para(10099(a,1),4918(a,2,2))]. given #9601 (H,wt=35): 9838 T(x,K(y,z * (u \ (w * (v5 \ 1)))) * (z * (u \ (w / v5)))) = T(x,T(z * (u \ (w * (v5 \ 1))),y)). [para(2692(a,2),9837(a,1,2)),flip(a)]. given #9602 (H,wt=36): 8316 ((L(x,y,z) / T(a(x \ 1,z,y),L(x,y,z))) * u) * a(x \ 1,z,y) = x * (u * a(x \ 1,z,y)). [hyper(58,a,2263,a,b,8309,a)]. given #9603 (H,wt=36): 9714 T(x,y * (z * (((1 / u) * ((u * w) * v5)) \ (u \ 1)))) = T(x,y * (z / (((1 / u) \ w) * L(v5,u,u)))). [para(6867(a,1),9702(a,2,2,2,2))]. given #9604 (H,wt=36): 9715 T(x,y * (z * (L(u,w,w) \ (((1 / w) \ v5) \ 1)))) = T(x,y * (z / (w * ((1 / w) * ((w * v5) * u))))). [para(6867(a,2),9702(a,2,2,2,2))]. given #9605 (H,wt=36): 9984 L(x,(y \ z) * ((u * (w * (z \ y))) / (z \ y)),v5) = L(x,((z \ y) \ u) * L(w,z \ y,z \ y),v5). [para(2027(a,1),9978(a,1,2,2))]. given #9606 (H,wt=31): 10109 L(x,(y \ z) * ((u * (w * (z \ y))) / (z \ y)),v5) = L(x,((1 / (z \ y)) * u) * w,v5). [hyper(272,a,9200,a(flip),b,9984,a),flip(a)]. given #9607 (H,wt=36): 10107 T(x,y * (z * (u * ((((u * w) * v5) / (1 / u)) \ 1)))) = T(x,y * (z / (((1 / u) \ w) * L(v5,u,u)))). [para(4998(a,1),9714(a,1,2,2,2))]. given #9608 (H,wt=34): 10110 T(x,y * (z * (u / (((u * w) * v5) / (1 / u))))) = T(x,y * (z / (((1 / u) \ w) * L(v5,u,u)))). [hyper(58,a,8561,a(flip),b,10107,a)]. given #9609 (H,wt=32): 10111 T(x,y * (z / (((1 / u) \ w) * L(v5,u,u)))) = T(x,y * (z * (u / (((u * w) * v5) * u)))). [hyper(58,a,8741,a(flip),b,10110,a),flip(a)]. given #9610 (H,wt=28): 10112 T(x,y * (z / (((1 / u) \ w) * L(v5,u,u)))) = T(x,y * (z / ((u * w) * v5))). [hyper(272,a,9655,a(flip),b,10111,a),flip(a)]. given #9611 (H,wt=36): 10108 T(x,y * (z * (L(u,w,w) \ ((v5 \ 1) * (w \ 1))))) = T(x,y * (z / (w * ((1 / w) * ((w * v5) * u))))). [para(3733(a,1),9715(a,1,2,2,2,2))]. given #9612 (H,wt=34): 10114 T(x,y * (z / (u * ((1 / u) * ((u * w) * v5))))) = T(x,y * (z * (L(v5,u,u) \ ((w \ 1) / u)))). [hyper(58,a,9837,a(flip),b,10108,a),flip(a)]. given #9613 (H,wt=31): 10115 T(x,y * (z / (u * ((1 / u) * ((u * w) * v5))))) = T(x,y * (z * (v5 \ ((w \ 1) / u)))). [hyper(272,a,8636,a(flip),b,10114,a),flip(a)]. given #9614 (H,wt=30): 10117 T(x,y * (z / (((1 / u) \ w) * L(v5,u,u)))) = T(x,y * (z * (v5 \ ((w \ 1) / u)))). [para(6867(a,1),10115(a,1,2,2,2))]. given #9615 (H,wt=25): 10118 T(x,y * (z * (u \ ((w \ 1) / v5)))) = T(x,y * (z / ((v5 * w) * u))). [hyper(58,a,10112,a(flip),b,10117,a),flip(a)]. given #9616 (H,wt=37): 7954 a(x,y,K(z,u)) \ ((w * (v5 / a(x,y,K(z,u)))) * a(x,y,K(z,u))) = ((1 / a(x,y,K(z,u))) \ w) * v5. [hyper(272,a,108,a(flip),b,7950,a),flip(a)]. given #9617 (H,wt=37): 8905 T(T(x,K(y,z * (u * (w * (1 / v5))))),y * (z * (u * (w / v5)))) = T(x,(z * (u * (w * (1 / v5)))) * y). [hyper(6146,a,8904,a),flip(a)]. given #9618 (H,wt=35): 10119 T(T(x,K(y,z * (u * (w / v5)))),y * (z * (u * (w / v5)))) = T(x,(z * (u * (w * (1 / v5)))) * y). [para(8723(a,1),8905(a,1,1,2))]. given #9619 (H,wt=25): 10120 T(x,(y * (z * (u * (1 / w)))) * v5) = T(x,(y * (z * (u / w))) * v5). [hyper(6146,a,10119,a),flip(a)]. given #9620 (H,wt=31): 10121 T(x,(y * (((1 / z) * u) * ((z / y) \ 1))) * w) = T(x,((y / z) * (u * (y / z))) * w). [hyper(58,a,8676,a,b,10120,a)]. given #9621 (H,wt=37): 9032 L(x,y,((z \ (u \ z)) * T(z \ (u \ z),w \ 1)) / w) = L(x,y,((z \ (u \ z)) * (1 / w)) / T(u,z)). [para(6719(a,2),8968(a,1,3))]. given #9622 (H,wt=33): 10122 L(x,y,(z \ T(1 / z,T(u \ 1,w))) / u) = L(x,y,((w \ (z \ w)) * (1 / u)) / T(z,w)). [para(7412(a,1),9032(a,1,3,1))]. given #9623 (H,wt=33): 10123 L(x,y,(z \ T(1 / z,T(u,w) \ 1)) / u) = L(x,y,((w \ (z \ w)) * (1 / u)) / T(z,w)). [para(4491(a,1),10122(a,1,3,1,2))]. given #9624 (H,wt=37): 9451 T(T(x,y * (z * (u \ (z / u)))),K(w,y * ((u \ z) * (u \ z)))) = T(x,T(y * ((u \ z) * (u \ z)),w)). [para(9449(a,1),5485(a,1,1))]. given #9625 (H,wt=37): 9787 T(x,((y \ z) * u) \ (K(w,(u \ (z \ y)) \ 1) * v5)) = T(x,T(u \ (z \ y),(u \ (z \ y)) * w) * v5). [para(3409(a,1),9786(a,2,2))]. given #9626 (H,wt=35): 10125 T(x,((y \ z) * u) \ (K(w,(z \ y) \ u) * v5)) = T(x,T(u \ (z \ y),(u \ (z \ y)) * w) * v5). [para(4431(a,1),9787(a,1,2,2,1))]. given #9627 (H,wt=35): 10126 T(x,((y \ z) * u) \ (K(w,(y \ z) * u) * v5)) = T(x,T(u \ (z \ y),(u \ (z \ y)) * w) * v5). [para(8610(a,1),10125(a,1,2,2,1))]. given #9628 (H,wt=29): 10127 T(x,T(y \ (z \ u),(y \ (z \ u)) * w) * v5) = T(x,T((u \ z) * y,w) \ v5). [para(3892(a,1),10126(a,1,2)),flip(a)]. given #9629 (H,wt=23): 10128 T(x,T((y \ z) * u,w) \ v5) = T(x,T(u \ (z \ y),w) * v5). [hyper(58,a,8465,a(flip),b,10127,a),flip(a)]. given #9630 (H,wt=37): 10124 T(T(x,y * (z * (u \ (z / u)))),K(w,y * (z * (u \ (z / u))))) = T(x,T(y * ((u \ z) * (u \ z)),w)). [para(9452(a,1),9451(a,1,2))]. given #9631 (H,wt=30): 10129 T(x,T(y * ((z \ u) * (z \ u)),w)) != v5 | T(x,T(y * (u * (z \ (u / z))),w)) = v5. [para(10124(a,1),5497(a,1))]. given #9632 (H,wt=38): 9012 L(x \ ((y * (z * z)) / x),((x \ 1) * z) * z,(x \ 1) * (z * z)) = (x \ y) / (1 / (((x \ 1) * z) * z)). [hyper(58,a,5150,a(flip),b,8943,a),flip(a)]. given #9633 (H,wt=36): 10130 L(x \ ((y * (z * z)) / x),((x \ 1) * z) * z,x \ (z * z)) = (x \ y) / (1 / (((x \ 1) * z) * z)). [hyper(58,a,8989,a(flip),b,9012,a)]. given #9634 (H,wt=36): 10131 L(x \ ((y * (z * z)) / x),((x \ 1) * z) * z,z * (z / x)) = (x \ y) / (1 / (((x \ 1) * z) * z)). [hyper(58,a,9040,a(flip),b,10130,a)]. given #9635 (H,wt=36): 10132 L(x \ ((y * (z * z)) / x),((x \ 1) * z) * z,z * (z / x)) = (x \ y) / (z \ (z \ (1 / (x \ 1)))). [para(4785(a,1),10131(a,2,2))]. given #9636 (H,wt=32): 10133 L(x \ ((y * (z * z)) / x),((x \ 1) * z) * z,z * (z / x)) = (x \ y) / (z \ (z \ x)). [para(72(a,1),10132(a,2,2,2,2))]. given #9637 (H,wt=39): 9792 T(x,T((y * z) \ (((z \ (y \ 1)) * u) \ (1 / (z \ (y \ 1)))),w)) = T(x,T((u / (1 / (z \ (y \ 1)))) \ 1,w)). [para(4867(a,1),9789(a,1,2,1)),flip(a)]. given #9638 (H,wt=39): 10043 L(x,y \ (z \ ((u * z) * z)),y \ (z \ ((u * z) * z))) = L(x,(u \ (1 / z)) * y,(((u * z) * z) \ z) * y). [para(4623(a,1),10037(a,2,2,1))]. given #9639 (H,wt=37): 10136 L(x,y \ T(z * u,u),y \ (u \ ((z * u) * u))) = L(x,(z \ (1 / u)) * y,(((z * u) * u) \ u) * y). [para(17(a,2),10043(a,1,2,2))]. given #9640 (H,wt=35): 10137 L(x,(y \ (1 / z)) * u,(((y * z) * z) \ z) * u) = L(x,u \ T(y * z,z),u \ T(y * z,z)). [para(17(a,2),10136(a,1,3,2)),flip(a)]. given #9641 (H,wt=39): 10106 ((x \ (y \ T(1 / y,z))) \ (y \ T(1 / y,z))) * (y \ T(1 / y,z)) = T(y \ 1,z) * (y \ (1 / (1 / x))). [hyper(272,a,3496,a,b,10104,a)]. given #9642 (H,wt=39): 10135 T(x,T((y * z) \ (((z \ (y \ 1)) * u) \ (1 / (z \ (y \ 1)))),w)) = T(x,T((u / (((1 / z) / y) \ 1)) \ 1,w)). [para(4902(a,1),9792(a,2,2,1,1,2))]. given #9643 (H,wt=39): 10138 ((x \ (y \ T(1 / y,z))) \ (y \ T(1 / y,z))) * (y \ T(1 / y,z)) = T(y \ 1,z) * (y \ ((x \ 1) \ 1)). [para(2898(a,1),10106(a,2,2,2))]. given #9644 (H,wt=39): 10139 T(x,T((y * z) \ (((z \ (y \ 1)) * u) \ (1 / (z \ (y \ 1)))),w)) = T(x,T(u / (((1 / z) / y) \ 1),w) \ 1). [hyper(272,a,4491,a(flip),b,10135,a),flip(a)]. given #9645 (H,wt=40): 7960 (x * (y * (K(z,y) \ (y \ u)))) * K(z,L(y,K(z,y) \ (y \ u),x)) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y). [para(2213(a,2),7959(a,2,2))]. given #9646 (H,wt=40): 10140 (x * (y * (K(y,z) * (y \ u)))) * K(z,L(y,K(z,y) \ (y \ u),x)) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y). [para(3882(a,1),7960(a,1,1,2,2))]. given #9647 (H,wt=36): 10141 (x * (K(y,z) * u)) * K(z,L(y,K(z,y) \ (y \ u),x)) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y). [para(3197(a,1),10140(a,1,1,2))]. given #9648 (H,wt=32): 10142 (x * (K(y,z) * u)) * K(z,L(y,y \ u,x)) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y). [para(8030(a,1),10141(a,1,2))]. given #9649 (H,wt=30): 10143 (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y). [para(7930(a,1),10142(a,1,2))]. given #9650 (H,wt=30): 10145 (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * (((K(y,z) * (u / y)) * K(z,y)) * y). [para(3882(a,1),10143(a,2,2,1,1))]. given #9651 (H,wt=26): 10146 (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * (T(u / y,K(y,z)) * y). [para(3717(a,1),10145(a,2,2,1))]. given #9652 (H,wt=26): 10147 (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * T((u / y) * y,K(y,z)). [para(5758(a,2),10146(a,2,2))]. given #9653 (H,wt=22): 10148 (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * T(u,K(y,z)). [para(7(a,1),10147(a,2,2,1))]. given #9654 (H,wt=42): 3142 L(x,y * K(z,z \ 1),y * K(z,z \ 1)) * (K(z,z \ 1) * y) = T((y * K(z,z \ 1)) * x,y * K(z,z \ 1)). [hyper(1649,a,3120,a)]. given #9655 (H,wt=42): 6681 K(a(x,y,z),x * (y * z)) * (a(x * (y * z),a(x,y,z),x * (y * z)) * u) = K((x * y) * z,x * (y * z)) * u. [para(79(a,1),6679(a,2,1,1))]. given #9656 (H,wt=43): 7296 ((x * (y * (1 / x))) \ ((x \ y) * ((x \ y) / (x * (y * (1 / x)))))) \ z = ((x * (y * (1 / x))) / (x \ y)) * ((1 / x) \ z). [para(3837(a,1),7294(a,2,2,1))]. given #9657 (H,wt=33): 10149 ((x * (y * (1 / x))) / (x \ y)) * ((1 / x) \ z) = ((x * (y * (1 / x))) \ (x \ (x \ y))) \ z. [para(6391(a,1),7296(a,1,1,2)),flip(a)]. given #9658 (H,wt=27): 10150 ((x * (y * (1 / x))) / (x \ y)) * ((1 / x) \ z) = (x \ (1 / T(x,y))) \ z. [para(6977(a,1),10149(a,2,1))]. given #9659 (H,wt=27): 10151 ((x * (y * (1 / x))) / (x \ y)) * ((1 / x) \ z) = x * ((T(x,y) \ 1) \ z). [hyper(272,a,7291,a(flip),b,10150,a),flip(a)]. given #9660 (H,wt=23): 10152 ((T(x,y) \ 1) \ 1) * ((1 / x) \ z) = x * ((T(x,y) \ 1) \ z). [para(5895(a,1),10151(a,1,1))]. given #9661 (H,wt=25): 10153 ((T(x,y) \ 1) \ 1) \ (x \ (y \ 1)) = (x * ((T(x,y) \ 1) \ y)) \ 1. [para(10152(a,1),7424(a,1,1)),flip(a)]. given #9662 (H,wt=23): 10154 ((T(x,y) \ 1) \ 1) \ (x \ (y \ 1)) = (x * (y / (1 / x))) \ 1. [para(3483(a,1),10153(a,2,1,2))]. given #9663 (H,wt=21): 10155 ((T(x,y) \ 1) \ 1) \ (x \ (y \ 1)) = x \ (y \ (1 / x)). [hyper(272,a,5161,a(flip),b,10154,a),flip(a)]. given #9664 (H,wt=19): 10156 ((x * y) \ 1) * (T(x,y) \ 1) = x \ (y \ (1 / x)). [hyper(58,a,7427,a(flip),b,10155,a)]. given #9665 (H,wt=21): 10157 (x \ y) * ((x \ y) * (1 / y)) = x \ ((y \ 1) \ (1 / x)). [hyper(58,a,7804,a(flip),b,10156,a)]. given #9666 (H,wt=19): 10158 (x \ y) * ((x \ y) * (1 / y)) = (y \ x) \ (1 / x). [hyper(272,a,5100,a(flip),b,10157,a),flip(a)]. given #9667 (H,wt=19): 10159 (x \ T(y,x)) \ (1 / T(y,x)) = (x \ y) \ (1 / y). [hyper(7649,a,10158,a)]. given #9668 (H,wt=21): 10160 (1 / x) * ((x \ y) \ (1 / y)) = x * ((y \ (1 / x)) / y). [para(10159(a,1),7664(a,1,2))]. given #9669 (H,wt=43): 9184 T(x,((y * (z * z)) \ u) * (T(T(y * (z * z),w),y) * (y * (z * z)))) = T(x,(y * (z * z)) * (u * K(y * (z * z),w))). [para(4740(a,1),9183(a,2,2))]. given #9670 (H,wt=41): 10161 T(x,((y * (z * z)) \ u) * (T((y * z) * z,w) * (y * (z * z)))) = T(x,(y * (z * z)) * (u * K(y * (z * z),w))). [para(3460(a,1),9184(a,1,2,2,1))]. given #9671 (H,wt=44): 6862 L(x,y,z) * (T(z * (y * x),(z * (y * x)) \ (z * y)) / (z * y)) = (z * y) \ (((z * y) / (z * (y * x))) \ (z * (y * x))). [para(13(a,2),6861(a,1,1))]. given #9672 (H,wt=42): 10162 L(x,y,z) * ((((z * (y * x)) \ (z * y)) \ (z * y)) / (z * y)) = (z * y) \ (((z * y) / (z * (y * x))) \ (z * (y * x))). [para(99(a,1),6862(a,1,2,1))]. given #9673 (H,wt=38): 10163 (x * y) \ (((x * y) / (x * (y * z))) \ (x * (y * z))) = L(z,y,x) * ((((x * y) \ (x * (y * z))) \ 1) \ 1). [para(4027(a,2),10162(a,1,2)),flip(a)]. given #9674 (H,wt=33): 10164 (x * y) \ (((x * y) / (x * (y * z))) \ (x * (y * z))) = L(z,y,x) * ((L(z,y,x) \ 1) \ 1). [para(13(a,2),10163(a,2,2,1,1))]. given #9675 (H,wt=31): 10165 (x * y) \ (((x * y) / (x * (y * z))) \ (x * (y * z))) = (1 / L(z,y,x)) \ L(z,y,x). [hyper(272,a,3007,a(flip),b,10164,a),flip(a)]. given #9676 (H,wt=28): 10166 (x * y) \ ((x * (y * z)) / (L(z,y,x) \ 1)) = (1 / L(z,y,x)) \ L(z,y,x). [para(3514(a,1),10165(a,1,2))]. given #9677 (H,wt=44): 7961 K((R(x,y,z) \ (R(x,y,z) * (x \ u))) \ u,w \ (R(x,y,z) * u)) = K(T(x,R(x,y,z) * (x \ u)),(R(x,y,z) \ w) \ u). [para(1089(a,1),7890(a,2,1))]. given #9678 (H,wt=34): 10167 K(T(x,R(x,y,z) * (x \ u)),(R(x,y,z) \ w) \ u) = K((x \ u) \ u,w \ (R(x,y,z) * u)). [para(4(a,1),7961(a,1,1,1)),flip(a)]. given #9679 (H,wt=32): 10168 K(T(x,R(x,y,z) * (x \ u)),(R(x,y,z) \ w) \ u) = K(x,T(w \ (R(x,y,z) * u),u)). [hyper(272,a,5242,a(flip),b,10167,a),flip(a)]. given #9680 (H,wt=30): 10170 K(T(x,R(x,y,z) * (x \ u)),(R(x,y,z) \ w) \ u) = K(x,(R(x,y,z) * u) / w). [hyper(272,a,7525,a(flip),b,10168,a),flip(a)]. given #9681 (H,wt=28): 10171 K(x,T((R(x,y,z) \ u) \ w,R(x,y,z) * w)) = K(x,(R(x,y,z) * w) / u). [hyper(7942,a,10170,a)]. given #9682 (H,wt=23): 10172 K(x,T((R(x,y,z) \ u) \ w,w)) = K(x,(R(x,y,z) * w) / u). [hyper(58,a,7524,a(flip),b,10171,a)]. given #9683 (H,wt=21): 10174 K(x,(R(x,y,z) * u) / w) = K(x,u / (R(x,y,z) \ w)). [hyper(58,a,4456,a(flip),b,10172,a),flip(a)]. given #9684 (H,wt=21): 10175 K(x,R(x,y,z) / (u / w)) = K(x,w / (R(x,y,z) \ u)). [hyper(58,a,7842,a(flip),b,10174,a)]. given #9685 (H,wt=21): 10176 K(x,y / (R(x,z,u) \ w)) = K(x,(w / y) \ R(x,z,u)). [hyper(58,a,5311,a(flip),b,10175,a),flip(a)]. given #9686 (H,wt=21): 10177 K(x,(y * R(x,z,u)) / w) = K(x,(w / y) \ R(x,z,u)). [hyper(58,a,7526,a,b,10176,a)]. given #9687 (H,wt=31): 10178 K(R(x,K(y * z,x) * y,z),u \ x) = K(x,(((u * y) * z) / (y * z)) \ R(x,y,z)). [hyper(58,a,7677,a,b,10177,a)]. given #9688 (H,wt=26): 10179 K(R(x,K(y * z,x) * y,z),u \ x) = K(x,R(u,y,z) \ R(x,y,z)). [para(15(a,2),10178(a,2,2,1))]. given #9689 (H,wt=20): 10180 K(x,R(y,z,u) \ R(x,z,u)) = K(R(x,z,u),y \ x). [hyper(58,a,7371,a(flip),b,10179,a),flip(a)]. given #9690 (H,wt=17): 10181 K(R(x,y,z),u \ x) = K(x,R(u,y,z) \ x). [hyper(9570,a,10180,a),flip(a)]. given #9691 (H,wt=25): 10183 K(x,R(R(x / y,y,L(K(z,x),u,w)),v5,v6) \ x) = K(R(x,v5,v6),y). [hyper(58,a,7691,a(flip),b,10181,a),flip(a)]. given #9692 (H,wt=21): 10184 R(R(K(x,y),y,L(K(z,x),u,w)),v5,v6) = K(R(x,v5,v6),y). [hyper(58,a,9575,a(flip),b,10183,a)]. given #9693 (H,wt=13): 10185 R(K(x,y),z,u) = K(R(x,z,u),y). [para(2147(a,1),10184(a,1,1))]. given #9694 (H,wt=15): 10186 R(K(x,y),z,u) \ 1 = K(y,R(x,z,u)). [para(10185(a,2),2878(a,1,1))]. given #9695 (H,wt=13): 10187 R(K(x,y),z,u) = K(x,R(y,z,u)). [hyper(7321,a,10186,a)]. given #9696 (H,wt=13): 10189 K(R(x,y,z),u) = K(x,R(u,y,z)). [hyper(58,a,10185,a(flip),b,10187,a)]. given #9697 (H,wt=15): 10188 K(x,R(y,z,u)) * 1 = R(K(x,y),z,u). [hyper(272,a,3,a,b,10187,a)]. given #9698 (H,wt=16): 10192 R(K(x,y),z,u) != w | K(x,R(y,z,u)) = w. [para(10188(a,1),119(a,1)),flip(b)]. given #9699 (H,wt=18): 10190 K(x / (y / z),R(u,x,z)) = K((x * z) / y,u). [hyper(58,a,6250,a(flip),b,10187,a),flip(a)]. given #9700 (H,wt=16): 10193 K(x * y,R(z,x,y)) = K((x * y) / 1,z). [hyper(58,a,6093,a(flip),b,10190,a)]. given #9701 (H,wt=14): 10194 K(x * y,R(z,x,y)) = K(x * y,z). [para(70(a,1),10193(a,2,1))]. given #9702 (H,wt=20): 10191 K(x,R(y \ R(y,z,u),y,w)) = K(x,y \ R(y,z,u)). [hyper(7685,a,10189,a),flip(a)]. given #9703 (H,wt=20): 10195 ((x * y) * z) * K(y * z,x) = (y * z) * R(x,y,z). [para(10194(a,1),456(a,1,2))]. given #9704 (H,wt=19): 10196 ((x * y) * z) * a(z,x,y) = (x * y) * R(z,x,y). [hyper(58,a,9559,a(flip),b,10195,a)]. given #9705 (H,wt=17): 10197 K(x,y) * R(K(y,x),z,u) = a(K(y,x),z,u). [hyper(6893,a,10196,a)]. given #9706 (H,wt=17): 10199 K(x,y) * a(K(x,y),z,u) = R(K(x,y),z,u). [hyper(3894,a,10197,a)]. given #9707 (H,wt=17): 10201 K(x,y) * K(y,R(x,z,u)) = a(K(y,x),z,u). [para(10187(a,1),10197(a,1,2))]. given #9708 (H,wt=19): 10200 K(x,y) * K(y,R(x,z,u)) = a(K(y,x),z * x,u). [para(7358(a,1),10197(a,1,2))]. given #9709 (H,wt=15): 10203 a(K(x,y),z * y,u) = a(K(x,y),z,u). [hyper(58,a,10201,a(flip),b,10200,a),flip(a)]. given #9710 (H,wt=19): 10202 K(x * y,x * R(y,z,u)) = a(K(x,y),z * y,u). [hyper(58,a,10088,a,b,10200,a)]. given #9711 (H,wt=21): 10204 K(x,(x / y) * R(y,z,u)) = a(K(x / y,y),z * y,u). [para(7(a,1),10202(a,1,1))]. given #9712 (H,wt=21): 10205 K(x,x * (y \ R(y,z,u))) = a(K(x / y,y),z * y,u). [hyper(58,a,8172,a(flip),b,10204,a)]. given #9713 (H,wt=21): 10206 K(x,x * (y \ R(y,z,u))) = a(K(y \ x,y),z * y,u). [para(2893(a,1),10205(a,2,1))]. given #9714 (H,wt=19): 10207 K(x,x * (y \ R(y,z,u))) = a(K(x,y),z * y,u). [hyper(272,a,9587,a(flip),b,10206,a),flip(a)]. given #9715 (H,wt=22): 10198 ((x * y) * z) * a(z,x,y) != (x * y) * u | R(z,x,y) = u. [para(10196(a,2),38(a,1))]. given #9716 (H,wt=29): 10208 (x * K(y \ R(y,z,u),x)) \ L(x,y \ R(y,z,u),x) = a(K(x,y),z * y,u). [hyper(58,a,4586,a,b,10207,a)]. given #9717 (H,wt=27): 10209 (x * K(y \ R(y,z,u),x)) \ L(x,a(y,z,u),x) = a(K(x,y),z * y,u). [para(8808(a,1),10208(a,1,2))]. given #9718 (H,wt=27): 10210 K(x,y \ R(y,z,u)) * (x \ L(x,a(y,z,u),x)) = a(K(x,y),z * y,u). [hyper(4292,a,10209,a)]. given #9719 (H,wt=45): 7765 (x \ (x \ (x \ (x \ (x \ (x \ y)))))) * T(z,x \ (x \ (x \ (x \ (x \ (x \ y)))))) = z * (y / (x * (x * (x * (x * (x * x)))))). [hyper(114,a,7764,a,b,207,a),flip(a)]. given #9720 (H,wt=47): 6177 (((x \ (y \ 1)) \ 1) \ 1) * ((x \ (y \ 1)) * T(T(z,(x \ (y \ 1)) \ 1),y * x)) = ((x \ (y \ 1)) \ 1) \ (((x \ (y \ 1)) \ 1) \ z). [para(6016(a,2),3146(a,1,2))]. given #9721 (H,wt=43): 10211 ((1 / x) / y) * ((x \ (y \ 1)) * T(T(z,(x \ (y \ 1)) \ 1),y * x)) = ((x \ (y \ 1)) \ 1) \ (((x \ (y \ 1)) \ 1) \ z). [para(4894(a,1),6177(a,1,1))]. given #9722 (H,wt=41): 10212 ((1 / x) / y) * ((x \ (y \ 1)) * T(T(z,(y \ 1) \ x),y * x)) = ((x \ (y \ 1)) \ 1) \ (((x \ (y \ 1)) \ 1) \ z). [para(4459(a,1),10211(a,1,2,2,1))]. given #9723 (H,wt=39): 10213 ((1 / x) / y) * ((x \ (y \ 1)) * T(T(z,y * x),y * x)) = ((x \ (y \ 1)) \ 1) \ (((x \ (y \ 1)) \ 1) \ z). [para(5983(a,1),10212(a,1,2,2,1))]. given #9724 (H,wt=31): 10214 ((x \ (y \ 1)) \ 1) \ (((x \ (y \ 1)) \ 1) \ z) = ((1 / x) / y) * ((x \ (y \ 1)) * z). [para(2765(a,1),10213(a,1,2,2)),flip(a)]. given #9725 (H,wt=31): 10215 x * (1 \ ((1 / (y \ (z \ 1))) \ (y \ (z \ 1)))) = ((1 / y) / z) * ((y \ (z \ 1)) * x). [hyper(58,a,4990,a(flip),b,10214,a)]. given #9726 (H,wt=31): 10216 x * (1 \ ((((1 / y) / z) \ 1) \ (y \ (z \ 1)))) = ((1 / y) / z) * ((y \ (z \ 1)) * x). [para(4902(a,1),10215(a,1,2,2,1))]. given #9727 (H,wt=27): 10217 ((1 / x) / y) * ((x \ (y \ 1)) * z) = z * (1 \ (x \ (y \ ((y * x) \ 1)))). [para(7622(a,1),10216(a,1,2,2)),flip(a)]. given #9728 (H,wt=25): 10218 ((1 / x) / y) * ((x \ (y \ 1)) * z) = z * (x \ (y \ ((y * x) \ 1))). [para(60(a,1),10217(a,2,2))]. given #9729 (H,wt=23): 10219 ((1 / x) / y) * ((x \ (y \ 1)) * z) = (x * y) \ ((x * y) \ z). [hyper(272,a,5890,a(flip),b,10218,a),flip(a)]. given #9730 (H,wt=49): 5447 ((T(x \ 1,y) \ 1) * (T(x \ 1,y) \ 1)) * ((T(x \ 1,y) \ 1) * (z / (T(x \ 1,y) \ 1))) = (T(1 / x,y) \ z) * (T(x \ 1,y) \ 1). [para(5438(a,1),3504(a,2,1,1))]. given #9731 (H,wt=47): 10220 (T(x \ 1,y) \ (1 / T(x \ 1,y))) * ((T(x \ 1,y) \ 1) * (z / (T(x \ 1,y) \ 1))) = (T(1 / x,y) \ z) * (T(x \ 1,y) \ 1). [para(684(a,1),5447(a,1,1))]. given #9732 (H,wt=47): 10221 (T(x \ 1,y) \ (T(1 / x,y) \ 1)) * ((T(x \ 1,y) \ 1) * (z / (T(x \ 1,y) \ 1))) = (T(1 / x,y) \ z) * (T(x \ 1,y) \ 1). [para(1613(a,1),10220(a,1,1,2))]. given #9733 (H,wt=39): 10222 (x * (x * 1)) * ((T(x \ 1,y) \ 1) * (z / (T(x \ 1,y) \ 1))) = (T(1 / x,y) \ z) * (T(x \ 1,y) \ 1). [para(7183(a,1),10221(a,1,1))]. given #9734 (H,wt=37): 10223 (x * x) * ((T(x \ 1,y) \ 1) * (z / (T(x \ 1,y) \ 1))) = (T(1 / x,y) \ z) * (T(x \ 1,y) \ 1). [para(3(a,1),10222(a,1,1,2))]. given #9735 (H,wt=35): 10225 (x * x) * (T(x \ 1,y) * (z * (1 / T(x \ 1,y)))) = (T(1 / x,y) \ z) * (T(x \ 1,y) \ 1). [para(4535(a,1),10223(a,1,2))]. given #9736 (H,wt=35): 10226 (x * x) * (T(x \ 1,y) * (z * (T(1 / x,y) \ 1))) = (T(1 / x,y) \ z) * (T(x \ 1,y) \ 1). [para(1613(a,1),10225(a,1,2,2,2))]. given #9737 (H,wt=29): 10227 (T(1 / x,y) \ z) * (T(x \ 1,y) \ 1) = (x * x) * (T(x,y) * (z / T(x,y))). [para(8896(a,1),10226(a,1,2)),flip(a)]. given #9738 (H,wt=27): 10228 (T(1 / x,y) \ z) * (T(x \ 1,y) \ 1) = ((T(x,y) \ 1) \ z) * T(x,y). [hyper(272,a,7101,a(flip),b,10227,a),flip(a)]. given #9739 (H,wt=35): 10229 (((T(x \ 1,y) \ 1) \ 1) \ z) * (u * (T(x \ 1,y) \ 1)) = ((T(x,y) \ 1) \ (z * u)) * T(x,y). [hyper(58,a,7559,a,b,10228,a)]. given #9740 (H,wt=35): 10230 (((T(x \ 1,y) \ 1) \ 1) \ z) * (u * (T(x \ 1,y) \ 1)) = ((T(x,y) \ 1) \ z) * (u * T(x,y)). [hyper(272,a,7558,a(flip),b,10229,a),flip(a)]. given #9741 (H,wt=31): 10231 (T(1 / x,y) \ z) * (u * (T(x \ 1,y) \ 1)) = ((T(x,y) \ 1) \ z) * (u * T(x,y)). [para(5438(a,1),10230(a,1,1,1))]. given #9742 (H,wt=29): 10232 (((T(x,y) \ 1) \ 1) * (z * T(x,y))) \ 1 = T(1 / x,y) * (z \ T(1 / x,y)). [para(10231(a,1),7676(a,1,1))]. given #9743 (H,wt=25): 10233 T(1 / x,y) * (z \ T(1 / x,y)) = ((z * T(x,y)) \ 1) / T(x,y). [hyper(58,a,4172,a(flip),b,10232,a),flip(a)]. given #9744 (H,wt=50): 6683 T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = (y \ T(y * (x \ 1),y)) * R(T(x \ a(y,x \ 1,y),y) \ 1,z,u). [para(6663(a,1),1569(a,1,1)),flip(a)]. given #9745 (H,wt=49): 10234 T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = (y \ T(y * (x \ 1),y)) * R((y \ T(y * (x \ 1),y)) \ 1,z,u). [para(6663(a,1),6683(a,2,2,1,1))]. given #9746 (H,wt=47): 10235 T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = y \ (T(y * (x \ 1),y) * R(T(y * (x \ 1),y) \ y,z,u)). [hyper(272,a,1401,a(flip),b,10234,a),flip(a)]. given #9747 (H,wt=45): 10236 T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = y \ T((y * (x \ 1)) * R((y * (x \ 1)) \ y,z,u),y). [para(1659(a,1),10235(a,2,2))]. given #9748 (H,wt=43): 10237 T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = y \ T(y * ((x \ 1) * R((x \ 1) \ 1,z,u)),y). [para(781(a,1),10236(a,2,2,1))]. given #9749 (H,wt=37): 10238 T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = y \ T(y * (x \ R(x,z,u)),y). [para(987(a,1),10237(a,2,2,1,2))]. given #9750 (H,wt=35): 10239 T(x \ (a(y,x \ 1,y) * R(a(y,x \ 1,y) \ x,z,u)),y) = y \ T(y * (x \ R(x,z,u)),y). [para(1401(a,1),10238(a,1,1))]. given #9751 (H,wt=35): 10240 T(x \ R(a(y,x \ 1,y) * (a(y,x \ 1,y) \ x),z,u),y) = y \ T(y * (x \ R(x,z,u)),y). [para(8792(a,2),10239(a,1,1,2))]. given #9752 (H,wt=21): 10241 x \ T(x * (y \ R(y,z,u)),x) = T(y \ R(y,z,u),x). [para(5(a,1),10240(a,1,1,2,1)),flip(a)]. given #9753 (H,wt=11): 10242 R(x,y \ R(y,z,u),x) = x. [hyper(1097,a,10241,a)]. given #9754 (H,wt=11): 10243 L(x,y \ R(y,z,u),x) = x. [hyper(2331,a,10242,a)]. given #9755 (H,wt=9): 10244 L(x,a(y,z,u),x) = x. [hyper(58,a,8808,a(flip),b,10243,a)]. given #9756 (H,wt=9): 10247 a(x,a(y,z,u),x) = 1. [hyper(48,a,10244,a)]. given #9757 (H,wt=11): 10248 x * a(y,a(z,u,w),y) = x. [hyper(114,a,10247,a,b,61,a)]. given #9758 (H,wt=11): 10249 a(x,a(y,z,u),x) \ w = w. [para(10247(a,2),60(a,1,1))]. given #9759 (H,wt=12): 10254 a(x,a(y,z,u),x) != w | 1 = w. [para(10249(a,1),246(a,1))]. given #9760 (H,wt=13): 10245 1 / a(x,y,z) = a(x,y,z) \ 1. [hyper(1950,a,10244,a)]. given #9761 (H,wt=13): 10253 x * (y \ L(y,a(z,u,w),y)) = x. [hyper(58,a,6668,a,b,10249,a)]. given #9762 (H,wt=15): 10250 (x \ 1) * a(y,z,u) = x \ a(y,z,u). [para(10247(a,1),6795(a,1,1,2))]. given #9763 (H,wt=9): 10264 L(x,x,a(y,z,u)) = x. [hyper(6129,a,10250,a(flip))]. given #9764 (H,wt=12): 10263 L(a(x,y,z),u,u) = a(x,y,z). [hyper(29,a,6185,a,b,10250,a)]. given #9765 (H,wt=15): 10252 K(x,x * a(y,z,u)) = K(x,a(y,z,u)). [hyper(58,a,6621,a(flip),b,10248,a),flip(a)]. given #9766 (H,wt=13): 10274 a(x,y,K(z,u)) = K(z,a(x,y,u)). [hyper(58,a,9448,a(flip),b,10252,a)]. given #9767 (H,wt=13): 10277 a(x,y,K(z,u)) = K(u,a(x,y,z)). [para(28(a,1),10274(a,1,3))]. given #9768 (H,wt=13): 10282 a(x,y,K(z,u)) = K(a(x,y,z),u). [hyper(272,a,28,a,b,10277,a),flip(a)]. given #9769 (H,wt=15): 10255 (a(x,y,z) \ 1) * y = y / a(x,y,z). [para(10245(a,1),7093(a,1,1))]. given #9770 (H,wt=15): 10258 a(x,x,y) * (z \ a(x,x,y)) = z \ 1. [hyper(5678,a,10250,a)]. given #9771 (H,wt=15): 10259 (1 / x) \ a(y,z,u) = x * a(y,z,u). [hyper(533,a,10250,a),flip(a)]. given #9772 (H,wt=15): 10261 (a(x,y,z) * u) \ a(x,y,z) = u \ 1. [hyper(30,a,3299,a,b,10250,a)]. given #9773 (H,wt=15): 10262 (a(x,y,z) \ u) \ 1 = u \ a(x,y,z). [hyper(30,a,3295,a(flip),b,10250,a),flip(a)]. given #9774 (H,wt=15): 10265 1 / (x \ a(y,z,u)) = a(y,z,u) \ x. [hyper(4168,a,10250,a(flip))]. given #9775 (H,wt=15): 10268 a(x,y,z) / (u \ 1) = a(x,y,z) * u. [hyper(114,a,10264,a(flip),b,5083,a(flip)),flip(a)]. given #9776 (H,wt=15): 10270 a(x,y,z) / (u * a(x,y,z)) = 1 / u. [hyper(113,a,10263,a(flip),b,3118,a)]. given #9777 (H,wt=15): 10276 x * a(y,z,K(x,u)) = T(x,a(y,z,u)). [hyper(114,a,10274,a,b,2672,a(flip))]. given #9778 (H,wt=15): 10283 x * a(y,z,K(u,x)) = T(x,a(y,z,u)). [hyper(114,a,10277,a,b,2672,a(flip))]. given #9779 (H,wt=15): 10289 K(a(x,y,z),u \ 1) = a(x,y,K(z,u)). [hyper(58,a,9390,a(flip),b,10282,a),flip(a)]. given #9780 (H,wt=15): 10296 (x * a(y,y,z)) \ 1 = x \ a(y,y,z). [para(5676(a,1),10261(a,1,1)),flip(a)]. given #9781 (H,wt=15): 10302 T(a(x,y,z) \ u,u) = u / a(x,y,z). [para(10265(a,1),3030(a,1,1))]. given #9782 (H,wt=15): 10303 T(a(x,y,z),u \ 1) = T(a(x,y,z),u). [hyper(215,a,10268,a(flip),b,2779,a),flip(a)]. given #9783 (H,wt=15): 10305 1 / (a(x,x,y) * z) = a(x,x,y) / z. [para(5677(a,1),10270(a,1,2)),flip(a)]. given #9784 (H,wt=15): 10309 1 / (x * a(y,y,z)) = a(y,y,z) / x. [para(5594(a,1),10305(a,1,2))]. given #9785 (H,wt=16): 10257 x * (y \ L(y,a(z,u,w),y)) != v5 | x = v5. [para(10253(a,1),39(a,2))]. given #9786 (H,wt=16): 10284 a(x,y,K(z,u)) != w | K(a(x,y,z),u) = w. [para(10277(a,2),508(a,1))]. given #9787 (H,wt=17): 10256 a(K(x,y),z * y,u) = K(x,y \ R(y,z,u)). [hyper(58,a,10210,a(flip),b,10253,a)]. given #9788 (H,wt=17): 10260 T(x \ 1,a(y,z,u)) = T(x,a(y,z,u)) \ 1. [hyper(215,a,10250,a,b,3006,a)]. given #9789 (H,wt=17): 10288 K(x,y) * K(y,L(x,z,u)) = K(a(u,z,x),y). [hyper(8256,a,10282,a)]. given #9790 (H,wt=17): 10292 (x \ a(y,y,z)) \ 1 = (x \ 1) \ a(y,y,z). [hyper(3467,a,10258,a),flip(a)]. given #9791 (H,wt=17): 10307 T(x,a(y,z / u,u)) = x * a(y,z,K(x,u)). [para(8258(a,1),10276(a,1,2)),flip(a)]. given #9792 (H,wt=18): 10271 L(L(a(x,y,z),u,w),v5,v5) = L(a(x,y,z),u,w). [para(10263(a,1),25(a,1,1)),flip(a)]. given #9793 (H,wt=18): 10278 a(x,y,K(z,u)) * a(x,y,u) = T(a(x,y,u),z). [para(10274(a,2),2692(a,2,1)),flip(a)]. given #9794 (H,wt=18): 10279 x * a(y,z,K(x,u)) != w | T(x,a(y,z,u)) = w. [para(10274(a,2),2737(a,1,2))]. given #9795 (H,wt=18): 10285 a(x,y,K(z,u)) * a(x,y,z) = T(a(x,y,z),u). [para(10277(a,2),2692(a,2,1)),flip(a)]. given #9796 (H,wt=18): 10295 (x \ 1) * a(y,z,u) != w | x \ a(y,z,u) = w. [para(10261(a,1),3319(a,1,1))]. given #9797 (H,wt=16): 10314 L(x \ 1,y,z) != u | x \ a(x,z,y) = u. [para(2516(a,1),10295(a,1))]. given #9798 (H,wt=18): 10313 T(x,a(y,z / u,u)) != w | T(x,a(y,z,u)) = w. [para(10307(a,2),10279(a,1))]. given #9799 (H,wt=19): 10267 (x \ (y \ x)) * a(z,u,w) = T(y,x) \ a(z,u,w). [para(2999(a,1),10250(a,1,1))]. given #9800 (H,wt=19): 10273 L(a(x,y,z) * u,w,w) = a(x,y,z) * L(u,w,w). [para(10263(a,1),5939(a,1,1)),flip(a)]. given #9801 (H,wt=19): 10275 (x * y) * a(z,u,K(y,w)) = x * T(y,a(z,u,w)). [hyper(114,a,10274,a,b,3674,a)]. given #9802 (H,wt=19): 10280 x * (T(x,a(y,z,u)) \ w) = a(y,z,K(x,u)) * w. [para(10274(a,2),3946(a,2,1))]. given #9803 (H,wt=19): 10293 (a(x,y,z) \ 1) * (u \ 1) = (u * a(x,y,z)) \ 1. [para(10259(a,1),3733(a,1,1)),flip(a)]. given #9804 (H,wt=19): 10297 T(a(x,y,z) \ u,w) \ w = w * (u \ a(x,y,z)). [hyper(114,a,10262,a(flip),b,2934,a),flip(a)]. given #9805 (H,wt=19): 10300 (x * (L(x,y,z) \ u)) \ 1 = u \ a(x \ 1,z,y). [para(8310(a,1),10262(a,1,1))]. given #9806 (H,wt=20): 10304 a(x,y,z) / (u \ 1) != u * w | T(a(x,y,z),u) = w. [para(10268(a,2),216(a,2)),flip(a)]. given #9807 (H,wt=20): 10306 T(x,a(y,z,u \ (u \ 1))) = x * a(y,z,a(x,u,u)). [para(4405(a,1),10276(a,1,2,3)),flip(a)]. given #9808 (H,wt=14): 10317 T(x,a(y,z,u \ (u \ 1))) = x * 1. [para(8340(a,1),10306(a,2,2))]. given #9809 (H,wt=12): 10318 T(x,a(y,z,u \ (u \ 1))) = x. [hyper(272,a,3,a(flip),b,10317,a),flip(a)]. given #9810 (H,wt=15): 10319 T(x,a(y,z,u \ (u \ 1))) != w | x = w. [para(10317(a,2),120(a,1))]. given #9811 (H,wt=21): 10272 (x * (a(y,z,u) * w)) / w = w * ((w \ x) * a(y,z,u)). [para(10263(a,1),2027(a,1,2,2)),flip(a)]. given #9812 (H,wt=21): 10286 a(x,y,K(z,u)) * a(x,y,z) != w | T(a(x,y,z),u) = w. [para(10277(a,2),3085(a,1,1))]. given #9813 (H,wt=21): 10311 K(x,y) * (K(y,L(x,z,u)) * w) = K(a(u,z,x),y) * w. [para(10288(a,1),6381(a,1,1)),flip(a)]. given #9814 (H,wt=21): 10316 a(x,y,z) * (u * a(u,w,w)) = L(a(x,y,z) * u,w,w). [para(4247(a,2),10273(a,2,2)),flip(a)]. given #9815 (H,wt=21): 10321 (x * (y * a(y,z,u))) / y = y * ((y \ x) * a(y,z,u)). [para(1189(a,1),10272(a,1,1,2))]. given #9816 (H,wt=21): 10322 x * ((x \ y) * a(x \ 1,z,u)) = (y * L(x,u,z)) / x. [para(2505(a,2),10272(a,1,1,2)),flip(a)]. given #9817 (H,wt=21): 10323 K(a(x,y,z),u) * (K(z,L(u,y,x)) * w) = K(z,u) * w. [para(8249(a,1),10311(a,1,2)),flip(a)]. given #9818 (H,wt=21): 10324 (a(x,y,z) * u) * a(u,w,w) = L(a(x,y,z) * u,w,w). [hyper(58,a,8353,a,b,10316,a)]. given #9819 (H,wt=21): 10325 (a(x,y,z) * u) * a(w,w,u) = L(a(x,y,z) * u,w,w). [para(4244(a,1),10324(a,1,2))]. given #9820 (H,wt=14): 10326 a(x,x,a(y,z,u) * w) = a(x,x,w). [hyper(29,a,4213,a,b,10325,a)]. given #9821 (H,wt=12): 10327 a(x,x,L(y,z,u)) = a(x,x,y). [para(2505(a,2),10326(a,1,3))]. given #9822 (H,wt=12): 10328 a(x,x,L(y,z,u)) = a(y,x,x). [hyper(272,a,4244,a,b,10327,a),flip(a)]. given #9823 (H,wt=18): 10329 (x \ a(x,x,y)) * L(y,z,u) = x \ L(y,z,u). [para(10327(a,1),5671(a,1,1,2))]. given #9824 (H,wt=21): 10330 a(x,y,y) * (z * L(x,u,w)) = z * L(L(x,u,w),y,y). [para(10328(a,1),8385(a,1,1))]. given #9825 (H,wt=22): 10269 x * L(L(L(x,y,y) \ 1,z,u),y,y) = a(L(x,y,y),u,z). [hyper(58,a,5954,a,b,10263,a)]. given #9826 (H,wt=16): 10332 a(L(x,y,y),z,u) = x * L(x \ 1,u,z). [para(3804(a,1),10269(a,1,2)),flip(a)]. given #9827 (H,wt=12): 10333 a(L(x,y,y),z,u) = a(x,z,u). [hyper(272,a,1178,a,b,10332,a),flip(a)]. given #9828 (H,wt=15): 10335 a((x \ 1) \ y,z,u) = a(x * y,z,u). [para(2002(a,1),10333(a,1,1))]. given #9829 (H,wt=15): 10336 a(x * (y \ 1),z,u) = a(x / y,z,u). [para(3112(a,1),10333(a,1,1)),flip(a)]. given #9830 (H,wt=15): 10337 a(x * (1 / y),z,u) = a(x / y,z,u). [hyper(58,a,2595,a,b,10336,a)]. given #9831 (H,wt=15): 10340 a(x / (y \ 1),z,u) = a(x * y,z,u). [para(72(a,1),10337(a,1,1,2)),flip(a)]. given #9832 (H,wt=19): 10338 a(x / ((y \ 1) \ 1),z,u) = a(x * (1 / y),z,u). [para(2826(a,1),10336(a,1,1,2)),flip(a)]. given #9833 (H,wt=19): 10339 a(x * (y \ (1 / x)),z,u) = a(x / (x * y),z,u). [hyper(58,a,6415,a(flip),b,10337,a)]. given #9834 (H,wt=19): 10341 a((x \ 1) * (1 / y),z,u) = a((y * x) \ 1,z,u). [para(4161(a,1),10338(a,1,1)),flip(a)]. given #9835 (H,wt=19): 10342 a((x / (1 / y)) \ 1,z,u) = a((x * y) \ 1,z,u). [hyper(58,a,4175,a,b,10341,a)]. given #9836 (H,wt=22): 10281 (x * y) * a(z,u,K(y,w)) != v5 | x * T(y,a(z,u,w)) = v5. [para(10274(a,2),3692(a,1,2))]. given #9837 (H,wt=22): 10294 (a(x,y,z) \ u) \ 1 != w \ v5 | w * (u \ a(x,y,z)) = v5. [para(10261(a,1),539(a,1))]. given #9838 (H,wt=22): 10315 (x \ (y \ x)) * a(z,u,w) != v5 | T(y,x) \ a(z,u,w) = v5. [para(2999(a,1),10295(a,1,1))]. given #9839 (H,wt=23): 10266 x \ a(y,z,u) != a(y,z,u) * w | T(x \ 1,a(y,z,u)) = w. [para(10250(a,1),216(a,2)),flip(a)]. given #9840 (H,wt=24): 10287 L(x,y,z) * a(1 / x,z,K(y,u)) = x * T(a(1 / x,z,y),u). [para(10277(a,2),3666(a,1,2))]. given #9841 (H,wt=24): 10290 a(x,y,K(z,u)) * T(T(a(x,y,z),u),w) = T(a(x,y,z),T(w,u)). [para(10282(a,2),5429(a,1,1))]. given #9842 (H,wt=24): 10298 (a(x,y,z) \ u) \ T(w,a(x,y,z) \ u) = w * (u \ a(x,y,z)). [para(10262(a,1),2789(a,2,2))]. given #9843 (H,wt=24): 10312 a(x \ 1,y,K(z,u)) * (x \ L(x,u,y)) = T(a(x \ 1,y,u),z). [para(1181(a,1),10278(a,1,2))]. given #9844 (H,wt=26): 10308 a(x,x,y) * (T(z,u \ a(x,x,y)) * u) = (1 / (u * a(x,x,y))) \ z. [para(10296(a,1),8384(a,1,2,1,2))]. given #9845 (H,wt=23): 10343 a(x,x,y) * (T(z,u \ 1) * u) = (1 / (u * a(x,x,y))) \ z. [para(8455(a,1),10308(a,1,2,1))]. given #9846 (H,wt=21): 10344 (1 / (x * a(y,y,z))) \ u = a(y,y,z) * ((1 / x) \ u). [para(1972(a,1),10343(a,1,2)),flip(a)]. given #9847 (H,wt=19): 10346 a(x,x,y) * ((1 / z) \ u) = (a(x,x,y) / z) \ u. [para(10309(a,1),10344(a,1,1)),flip(a)]. given #9848 (H,wt=19): 10347 ((1 / x) \ y) * a(z,z,u) = (a(z,z,u) / x) \ y. [hyper(5596,a,10346,a)]. given #9849 (H,wt=19): 10348 (a(x,x,y) / (z \ 1)) \ u = (z \ u) * a(x,x,y). [para(72(a,1),10347(a,1,1,1)),flip(a)]. given #9850 (H,wt=17): 10349 (a(x,x,y) * z) \ u = (z \ u) * a(x,x,y). [para(10268(a,1),10348(a,1,1))]. given #9851 (H,wt=15): 10350 (a(x,x,y) * z) \ y = z \ L(y,x,x). [hyper(272,a,8373,a(flip),b,10349,a),flip(a)]. given #9852 (H,wt=15): 10351 (a(x,y,y) * z) \ x = z \ L(x,y,y). [para(4244(a,2),10350(a,1,1,1))]. given #9853 (H,wt=14): 10352 (a(x,y,y) * y) \ x = (y \ 1) * x. [hyper(272,a,2969,a(flip),b,10351,a),flip(a)]. given #9854 (H,wt=12): 10353 L(x,y,x) \ y = (x \ 1) * y. [para(3809(a,1),10352(a,1,1))]. given #9855 (H,wt=9): 10354 L(x,y,x) = L(x,x,y). [hyper(6129,a,10353,a),flip(a)]. given #9856 (H,wt=11): 10355 x * a(y,x,x) = L(x,x,y). [hyper(5735,a,10354,a)]. given #9857 (H,wt=11): 10359 x * a(x,x,y) = L(x,x,y). [hyper(58,a,4248,a,b,10354,a)]. given #9858 (H,wt=11): 10360 x \ L(x,x,y) = a(x,x,y). [hyper(112,a,10354,a(flip),b,4248,a)]. given #9859 (H,wt=12): 10357 L(x,y,x) = y \ (y / (x \ 1)). [hyper(272,a,5083,a(flip),b,10354,a),flip(a)]. given #9860 (H,wt=12): 10361 x * L(x,x,y) = T(x * x,y). [para(10354(a,1),4251(a,1,2))]. given #9861 (H,wt=12): 10369 L(x,y,L(z,z,u)) = L(x,y,z). [para(10354(a,1),8925(a,1,3))]. given #9862 (H,wt=12): 10370 a(L(x,x,y),z,u) = a(x,z,u). [para(10354(a,1),9586(a,1,1))]. given #9863 (H,wt=13): 10371 L(x,y,T(x \ 1,z)) = L(x,x,y). [hyper(58,a,8426,a,b,10355,a)]. given #9864 (H,wt=14): 10375 a(x,x,L(y,z,u)) = x \ L(x,x,y). [hyper(272,a,10327,a,b,10360,a)]. given #9865 (H,wt=12): 10384 L(x,x,L(y,z,u)) = L(x,x,y). [hyper(33,a,10360,a,b,10375,a(flip))]. given #9866 (H,wt=14): 10376 a(x,x,y) != x \ z | L(x,x,y) = z. [para(10360(a,1),42(a,1))]. given #9867 (H,wt=14): 10377 x * a(x,x,y) != z | L(x,x,y) = z. [para(10360(a,1),230(a,1,2))]. given #9868 (H,wt=14): 10378 L(x \ y,y,x \ y) = (y \ x) \ 1. [hyper(272,a,3513,a(flip),b,10357,a),flip(a)]. given #9869 (H,wt=15): 10356 L(x \ 1,y,x \ 1) = L(x,x,y) \ 1. [hyper(272,a,5085,a(flip),b,10354,a),flip(a)]. given #9870 (H,wt=15): 10358 (x \ 1) \ a(x,x,y) = L(x,x,x \ y). [hyper(58,a,4847,a,b,10354,a)]. given #9871 (H,wt=15): 10364 (x * x) \ L(x,x,y) = a(x,x,y) / x. [para(10354(a,1),4778(a,1,2))]. given #9872 (H,wt=15): 10365 a(x,y,y) * (y \ z) = L(y,y,x) \ z. [para(10354(a,1),6798(a,2,1))]. given #9873 (H,wt=15): 10367 a(x,x,y) * (z * x) = z * L(x,x,y). [para(10354(a,1),8386(a,2,2))]. given #9874 (H,wt=15): 10372 a(x,x,y) * (x * z) = L(x,x,y) * z. [para(10359(a,1),8389(a,1,1)),flip(a)]. given #9875 (H,wt=15): 10374 (x / y) * a(y,y,z) = x / L(y,y,z). [para(10359(a,1),9464(a,1,2)),flip(a)]. given #9876 (H,wt=15): 10380 T(x * x,y) != x * z | L(x,x,y) = z. [para(10361(a,1),38(a,1))]. given #9877 (H,wt=15): 10385 R(x,(y \ z) \ 1,u) = R(x,z \ y,u). [para(10378(a,1),9350(a,1,2))]. given #9878 (H,wt=15): 10386 a((x \ y) \ 1,z,u) = a(y \ x,z,u). [para(10378(a,1),9586(a,1,1))]. given #9879 (H,wt=15): 10388 (x \ a(x,x,y)) \ 1 = L(x,x,x \ y). [hyper(58,a,10292,a,b,10358,a)]. given #9880 (H,wt=15): 10390 a(x,x,y) * (x \ z) = L(x,x,y) \ z. [para(4244(a,1),10365(a,1,1))]. given #9881 (H,wt=15): 10392 (x / y) * L(y,y,z) = a(y,y,z) * x. [para(7(a,1),10367(a,1,2)),flip(a)]. given #9882 (H,wt=15): 10394 x * (y * a(x,x,z)) = L(x,x,z) * y. [hyper(58,a,8372,a(flip),b,10372,a)]. given #9883 (H,wt=15): 10395 x \ (L(x,x,y) * z) = z * a(x,x,y). [hyper(112,a,10372,a(flip),b,8372,a(flip))]. given #9884 (H,wt=15): 10397 R(x,(y \ z) \ z,u) = R(x,T(y,z),u). [hyper(58,a,3046,a(flip),b,10385,a),flip(a)]. given #9885 (H,wt=15): 10401 a((x * y) \ x,z,u) = a(y \ 1,z,u). [para(4(a,1),10386(a,1,1,1)),flip(a)]. given #9886 (H,wt=15): 10410 R(x,T(y \ z,z),u) = R(x,z / y,u). [para(2826(a,1),10397(a,1,2)),flip(a)]. given #9887 (H,wt=15): 10411 a((x / y) \ 1,z,u) = a(y / x,z,u). [para(3309(a,1),10401(a,1,1)),flip(a)]. given #9888 (H,wt=16): 10362 L(L(x,x,y),x,x) = (x \ 1) \ a(x,x,y). [para(10354(a,1),4252(a,1,1))]. given #9889 (H,wt=14): 10415 L(L(x,x,y),x,x) = L(x,x,x \ y). [hyper(272,a,10358,a(flip),b,10362,a),flip(a)]. given #9890 (H,wt=16): 10363 (1 / x) \ L(x,x,y) = T((1 / x) \ x,y). [para(10354(a,1),4253(a,1,2))]. given #9891 (H,wt=16): 10368 R(x,y,L(z,z,u) \ w) = R(x,y,z \ w). [para(10354(a,1),8746(a,1,3,1))]. given #9892 (H,wt=15): 10416 R(x,y,(z * u) \ z) = R(x,y,u \ 1). [para(5080(a,1),10368(a,1,3))]. given #9893 (H,wt=15): 10417 R(x,y,z \ (z / u)) = R(x,y,u \ 1). [para(7(a,1),10416(a,1,3,1))]. given #9894 (H,wt=15): 10418 R(x,y,(z / u) \ 1) = R(x,y,u / z). [para(3309(a,1),10416(a,1,3)),flip(a)]. given #9895 (H,wt=15): 10419 R(x,y,z / (u * z)) = R(x,y,u \ 1). [para(3305(a,2),10417(a,1,3))]. given #9896 (H,wt=15): 10420 R(x,y,T(z \ u,u)) = R(x,y,u / z). [para(2768(a,2),10418(a,1,3))]. given #9897 (H,wt=16): 10379 x * L(x,x,x * y) = T(x * x,x \ y). [hyper(272,a,4656,a,b,10361,a),flip(a)]. given #9898 (H,wt=13): 10422 L(x,x,x \ y) = L(x,x,x * y). [hyper(29,a,10361,a,b,10379,a)]. given #9899 (H,wt=15): 10423 (x \ a(x,x,y)) \ 1 = L(x,x,x * y). [hyper(58,a,10388,a,b,10422,a)]. given #9900 (H,wt=15): 10424 (x \ a(y,x,x)) \ 1 = L(x,x,x * y). [para(4244(a,2),10423(a,1,1,2))]. given #9901 (H,wt=16): 10391 R(x,L(y,y,z) \ u,w) = R(x,y \ u,w). [para(10365(a,1),9347(a,1,2))]. given #9902 (H,wt=15): 10426 R(x,(y \ 1) * z,u) = R(x,y \ z,u). [para(6128(a,1),10391(a,1,2))]. given #9903 (H,wt=16): 10409 x \ (y * T(x * x,z)) = L(x,x,z) * y. [hyper(4837,a,10395,a)]. given #9904 (H,wt=16): 10428 x * (L(x,x,y) * z) = z * T(x * x,y). [hyper(127,a,10409,a)]. given #9905 (H,wt=16): 10429 L(x,x,y) * (x * z) = z * T(x * x,y). [hyper(58,a,1270,a,b,10428,a)]. given #9906 (H,wt=16): 10431 L(x,y,x) * (x * z) = z * T(x * x,y). [para(10354(a,2),10429(a,1,1))]. given #9907 (H,wt=17): 10373 L(x,y,z) * a(x,x,u) = L(L(x,x,u),y,z). [para(10359(a,1),8738(a,1,1)),flip(a)]. given #9908 (H,wt=17): 10398 R(x,T(y,z) \ 1,u) = R(x,(y * z) \ z,u). [para(17(a,2),10385(a,1,2,1))]. given #9909 (H,wt=17): 10400 (x \ y) \ L(x \ y,z,u) = a(y \ x,u,z). [hyper(1187,a,10386,a)]. given #9910 (H,wt=17): 10408 L(x,x,y) * (z / x) = x * (z / L(x,x,y)). [para(10374(a,1),10394(a,1,2)),flip(a)]. given #9911 (H,wt=17): 10412 R(x,y / (z / y),u) = R(x,z \ (y * y),u). [para(3770(a,1),10410(a,1,2)),flip(a)]. given #9912 (H,wt=17): 10413 a((1 / x) / y,z,u) = a((y * x) \ 1,z,u). [hyper(58,a,10342,a(flip),b,10411,a),flip(a)]. given #9913 (H,wt=17): 10421 L(x,(y \ z) * (y \ 1),y) = R(x,y,z \ 1). [hyper(58,a,8891,a,b,10419,a)]. given #9914 (H,wt=15): 10442 L(x,y \ (z / y),y) = R(x,y,z \ 1). [para(684(a,1),10421(a,1,2))]. given #9915 (H,wt=15): 10443 L(x,y \ (y \ z),y) = R(x,y,z \ 1). [hyper(58,a,9234,a(flip),b,10442,a)]. given #9916 (H,wt=17): 10425 (x \ a(x,y,x \ 1)) \ 1 = L(x,x,x * y). [para(5668(a,2),10424(a,1,1,2))]. given #9917 (H,wt=17): 10427 R(x,(y \ 1) / z,u) = R(x,y \ (z \ 1),u). [hyper(58,a,9352,a(flip),b,10426,a)]. given #9918 (H,wt=17): 10433 T(x,y * T(z * z,u)) = T(x,z * (z * y)). [para(10431(a,1),8450(a,1,2))]. given #9919 (H,wt=17): 10434 a(x,x,y) * L(x,z,u) = L(L(x,x,y),z,u). [hyper(5595,a,10373,a)]. given #9920 (H,wt=17): 10436 R(x,(y * z) \ z,u) = R(x,z \ (y \ z),u). [para(2999(a,1),10398(a,1,2)),flip(a)]. given #9921 (H,wt=15): 10445 R(x,y \ (z \ y),y) = R(x,z \ 1,y). [hyper(58,a,8101,a(flip),b,10436,a),flip(a)]. given #9922 (H,wt=17): 10437 (x \ 1) * L(x,x,y) = x * (1 / L(x,x,y)). [hyper(3454,a,10408,a)]. given #9923 (H,wt=17): 10439 R(x,y \ (z * z),u) = R(x,z * (z / y),u). [para(3322(a,1),10412(a,1,2)),flip(a)]. given #9924 (H,wt=17): 10440 a((x * y) \ 1,z,u) = a(y \ (x \ 1),z,u). [hyper(58,a,4900,a(flip),b,10413,a),flip(a)]. given #9925 (H,wt=17): 10446 L(x,y,((z / y) \ y) \ 1) = R(x,z \ 1,y). [hyper(58,a,9516,a,b,10445,a)]. given #9926 (H,wt=15): 10450 L(x,y,y \ (z / y)) = R(x,z \ 1,y). [hyper(58,a,9097,a(flip),b,10446,a)]. given #9927 (H,wt=15): 10451 L(x,y,y \ (y \ z)) = R(x,z \ 1,y). [hyper(9013,a,10450,a)]. given #9928 (H,wt=18): 10366 L(L(x,y,z),u,L(x,w,v5)) = L(L(x,x,u),y,z). [para(10354(a,1),8213(a,2,1))]. given #9929 (H,wt=18): 10396 T(x,y * (L(z,z,u) * w)) = T(x,y * (z * w)). [para(10372(a,1),8462(a,1,2,2))]. given #9930 (H,wt=18): 10430 a(x,x,y) * (x * (x * z)) = z * T(x * x,y). [hyper(58,a,10372,a,b,10429,a)]. given #9931 (H,wt=18): 10459 a(x,y,y) * (y * (y * z)) = z * T(y * y,x). [para(4244(a,2),10430(a,1,1))]. given #9932 (H,wt=12): 10461 T(x,T(y * y,z)) = L(x,y,y). [hyper(215,a,10459,a(flip),b,6205,a)]. given #9933 (H,wt=18): 10460 T(x * x,y) * L(z,x,x) = z * T(x * x,y). [hyper(58,a,6205,a,b,10459,a)]. given #9934 (H,wt=18): 10464 T(x,y \ (z * (y \ z))) = L(x,y \ z,y \ z). [para(3276(a,1),10461(a,1,2))]. given #9935 (H,wt=19): 10387 ((L(x,x,y) \ 1) \ 1) \ 1 = L(1 / x,y,x \ 1). [para(10356(a,1),4953(a,1,1,1))]. given #9936 (H,wt=15): 10467 L(1 / x,y,x \ 1) = 1 / L(x,x,y). [hyper(2988,a,10387,a),flip(a)]. given #9937 (H,wt=19): 10393 a(x,x,y) * (z * (u * x)) = z * (u * L(x,x,y)). [para(10367(a,1),8383(a,2,2))]. given #9938 (H,wt=19): 10402 L(x \ y,z,u) \ (x \ y) = a(y \ x,u,z) \ 1. [para(10386(a,1),2533(a,2,1))]. given #9939 (H,wt=19): 10403 a(x * ((y \ 1) \ 1),z,u) = a((1 / x) \ y,z,u). [para(4097(a,1),10386(a,1,1))]. given #9940 (H,wt=17): 10470 a(x / (y \ 1),z,u) = a((1 / x) \ y,z,u). [hyper(58,a,10336,a(flip),b,10403,a)]. given #9941 (H,wt=15): 10471 a((1 / x) \ y,z,u) = a(x * y,z,u). [hyper(58,a,10340,a(flip),b,10470,a),flip(a)]. given #9942 (H,wt=15): 10472 a((x \ 1) * y,z,u) = a(x \ y,z,u). [para(72(a,1),10471(a,1,1,1)),flip(a)]. given #9943 (H,wt=19): 10404 a(x,x,y) * (z * (x \ u)) = z * (L(x,x,y) \ u). [para(10390(a,1),8383(a,2,2))]. given #9944 (H,wt=19): 10405 a(x,x,y) * ((x \ z) * u) = (L(x,x,y) \ z) * u. [para(10390(a,1),8392(a,1,1)),flip(a)]. given #9945 (H,wt=19): 10406 L(x,L(y,y,z) \ u,w) != v5 | L(x,y \ u,w) = v5. [para(10390(a,1),9230(a,1,2))]. given #9946 (H,wt=16): 10476 L(x,1 / y,z) != u | L(x,y \ 1,z) = u. [para(2949(a,1),10406(a,1,2))]. given #9947 (H,wt=18): 10477 L(x,(y \ 1) * z,u) != w | L(x,y \ z,u) = w. [para(6128(a,1),10406(a,1,2))]. given #9948 (H,wt=19): 10414 L(x / y,z,u) \ (x / y) = a(y / x,u,z) \ 1. [para(10411(a,1),2533(a,2,1))]. given #9949 (H,wt=19): 10444 (x \ a(x,y,x \ 1)) \ 1 = x * a(x,x,x * y). [hyper(272,a,10359,a,b,10425,a),flip(a)]. given #9950 (H,wt=19): 10447 x * ((x * x) \ L(x,x,y)) = x * (1 / L(x,x,y)). [hyper(58,a,3527,a,b,10437,a)]. given #9951 (H,wt=19): 10448 (x * y) \ L(x * y,z,u) = a(y \ (x \ 1),u,z). [hyper(1187,a,10440,a)]. given #9952 (H,wt=19): 10452 L(x,y \ z,(z \ y) * y) = R(x,z \ 1,y \ z). [para(3302(a,1),10450(a,1,3))]. given #9953 (H,wt=19): 10455 L(x,T(y,z),y \ (y \ u)) = R(x,u \ 1,T(y,z)). [para(3947(a,1),10451(a,1,3))]. given #9954 (H,wt=19): 10465 T(x,T(y * y,z) * u) = T(x,u * T(y * y,z)). [para(10460(a,1),8461(a,1,2)),flip(a)]. given #9955 (H,wt=17): 10484 T(x,T(y * y,z) * u) = T(x,y * (y * u)). [hyper(272,a,10433,a(flip),b,10465,a),flip(a)]. given #9956 (H,wt=17): 10486 T(x,T(y * y,z) * u) = T(x,u * (y * y)). [para(2956(a,2),10484(a,2,2))]. given #9957 (H,wt=19): 10473 a((x \ 1) * y,z,x \ y) = a(z,x \ y,x \ y). [hyper(272,a,6793,a,b,10472,a),flip(a)]. given #9958 (H,wt=20): 10435 L(L(x,x,y),z,u) != w | a(x,x,y) * L(x,z,u) = w. [para(10373(a,1),5595(a,1))]. given #9959 (H,wt=20): 10458 L(L(x,y,z),u,L(x,w,v5)) = a(x,x,u) * L(x,y,z). [hyper(272,a,10434,a,b,10366,a),flip(a)]. given #9960 (H,wt=20): 10463 T(x,y * (z * ((1 / y) \ z))) = L(x,z * y,z * y). [hyper(58,a,6032,a(flip),b,10461,a)]. given #9961 (H,wt=18): 10490 T(x,y * (z * (y * z))) = L(x,z * y,z * y). [hyper(58,a,8683,a(flip),b,10463,a)]. given #9962 (H,wt=20): 10478 L(x,T(y \ 1,z),u) != w | L(x,T(y,z) \ 1,u) = w. [para(10041(a,1),10476(a,1))]. given #9963 (H,wt=20): 10481 L(x,(y \ 1) / z,u) != w | L(x,y \ (z \ 1),u) = w. [para(9197(a,1),10477(a,1))]. given #9964 (H,wt=20): 10488 L(L(x,y,z),u,L(x,w,v5)) = a(u,x,x) * L(x,y,z). [para(4244(a,2),10458(a,2,1))]. given #9965 (H,wt=15): 10492 a(x,L(y,z,u),L(y,z,u)) = a(x,y,y). [hyper(3812,a,10488,a)]. given #9966 (H,wt=20): 10491 L(x,y \ (1 / z),u) != w | L(x,y \ (z \ 1),u) = w. [para(9235(a,1),10481(a,1))]. given #9967 (H,wt=20): 10494 L(x,(y * z) \ 1,u) != w | L(x,z \ (y \ 1),u) = w. [para(10062(a,2),10491(a,1))]. given #9968 (H,wt=21): 10389 T(L(x,x,y),x * x) * ((x * x) \ 1) = a(x,x,y) / x. [hyper(3607,a,10364,a)]. given #9969 (H,wt=20): 10495 L(L(x,x,y),x,x) * ((x * x) \ 1) = a(x,x,y) / x. [para(2952(a,1),10389(a,1,1))]. given #9970 (H,wt=19): 10496 L(x,x,x \ y) * ((x * x) \ 1) = a(x,x,y) / x. [para(10415(a,1),10495(a,1,1))]. given #9971 (H,wt=19): 10497 L(x,x,x \ y) * (x \ (x \ 1)) = a(x,x,y) / x. [para(3080(a,1),10496(a,1,2))]. given #9972 (H,wt=17): 10498 x \ (x \ L(x,x,x \ y)) = a(x,x,y) / x. [hyper(4393,a,10497,a)]. given #9973 (H,wt=15): 10499 x \ a(x,x,x \ y) = a(x,x,y) / x. [para(10360(a,1),10498(a,1,2))]. given #9974 (H,wt=17): 10500 x * ((x * x) \ L(x,x,y)) = a(x,x,x \ y). [hyper(114,a,10364,a,b,10499,a)]. given #9975 (H,wt=15): 10503 x * (1 / L(x,x,y)) = a(x,x,x \ y). [hyper(58,a,10447,a(flip),b,10500,a)]. given #9976 (H,wt=18): 10501 x \ y != a(x,x,z) / x | a(x,x,x \ z) = y. [para(10499(a,1),42(a,1)),flip(a)]. given #9977 (H,wt=18): 10502 T(x * x,x \ y) \ 1 = x \ (a(x,x,y) / x). [para(10499(a,1),4420(a,1,2)),flip(a)]. given #9978 (H,wt=18): 10504 T(x * x,x * y) \ 1 = x \ (a(x,x,y) / x). [para(4656(a,1),10502(a,1,1))]. given #9979 (H,wt=15): 10505 x \ a(x,x,x * y) = a(x,x,y) / x. [hyper(4421,a,10504,a)]. given #9980 (H,wt=13): 10506 a(x,x,x \ y) = a(x,x,x * y). [hyper(10501,a,10505,a)]. given #9981 (H,wt=15): 10507 x * (1 / L(x,x,y)) = a(x,x,x * y). [hyper(58,a,10503,a,b,10506,a)]. given #9982 (H,wt=15): 10508 x \ a(x,x,y * x) = 1 / L(x,x,y). [hyper(112,a,8360,a,b,10507,a)]. given #9983 (H,wt=18): 10509 T(x * x,y * x) \ 1 = x \ (1 / L(x,x,y)). [para(10508(a,1),4420(a,1,2)),flip(a)]. given #9984 (H,wt=20): 10510 (x \ 1) * (L(x,x,y) \ 1) = T(x * x,y * x) \ 1. [hyper(272,a,4963,a,b,10509,a)]. given #9985 (H,wt=19): 10511 T(x * x,y * x) \ 1 = (x \ 1) * ((y * x) \ y). [para(5080(a,1),10510(a,1,2)),flip(a)]. given #9986 (H,wt=17): 10512 T(x * x,y * x) \ 1 = T(x \ (1 / x),y). [hyper(272,a,5906,a(flip),b,10511,a),flip(a)]. given #9987 (H,wt=21): 10449 a((1 / x) \ ((x / y) \ 1),z,u) = a(x * (y / x),z,u). [para(5062(a,1),10440(a,1,1)),flip(a)]. given #9988 (H,wt=21): 10456 L(x,y \ 1,z * ((1 / y) \ y)) = R(x,z \ 1,y \ 1). [para(4391(a,1),10451(a,1,3))]. given #9989 (H,wt=21): 10469 (x * (y * L(z,z,u))) / L(z,z,u) = (x * (y * z)) / z. [hyper(113,a,10393,a(flip),b,10392,a)]. given #9990 (H,wt=21): 10474 (L(x,x,y) \ z) * (x \ u) = (x \ z) * (L(x,x,y) \ u). [hyper(58,a,10404,a(flip),b,10405,a),flip(a)]. given #9991 (H,wt=21): 10482 (x \ a(x,y,x \ 1)) \ 1 = a(x,x,x * y) / (x \ 1). [hyper(272,a,5593,a,b,10444,a),flip(a)]. given #9992 (H,wt=21): 10483 R(x,(y \ z) \ 1,T(z,u)) = L(x,T(z,u),y \ (z \ 1)). [para(4355(a,1),10455(a,1,3)),flip(a)]. given #9993 (H,wt=21): 10514 a(x * ((1 / y) \ (1 / x)),z,u) = a(x * (y / x),z,u). [para(5095(a,1),10449(a,1,1))]. given #9994 (H,wt=19): 10517 a(x / (x * (1 / y)),z,u) = a(x * (y / x),z,u). [hyper(58,a,10339,a(flip),b,10514,a)]. given #9995 (H,wt=19): 10518 a((x \ (y \ x)) \ 1,z,u) = a(x * (y / x),z,u). [para(4112(a,1),10517(a,1,1))]. given #9996 (H,wt=17): 10519 a((x \ y) \ y,z,u) = a(y * (x / y),z,u). [hyper(58,a,10386,a(flip),b,10518,a)]. given #9997 (H,wt=21): 10516 L(x \ 1,x \ 1,y) \ 1 = a(x,x,x * y) / (x \ 1). [hyper(58,a,1201,a,b,10482,a)]. given #9998 (H,wt=22): 10382 K(x,L(L(y,y,z) \ 1,u,w) \ 1) = K(x,a(y,w,u) \ y). [para(10370(a,1),9631(a,2,2,1))]. given #9999 (H,wt=20): 10521 K(x,L(1 \ L(y,y,z),u,w)) = K(x,a(y,w,u) \ y). [hyper(58,a,8232,a(flip),b,10382,a)]. given #10000 (H,wt=18): 10523 K(x,L(L(y,y,z),u,w)) = K(x,a(y,w,u) \ y). [para(60(a,1),10521(a,1,2,1))]. given #10001 (H,wt=15): 10524 K(x,a(y,z,u) \ y) = K(x,L(y,u,z)). [hyper(58,a,8000,a(flip),b,10523,a),flip(a)]. given #10002 (H,wt=22): 10493 ((1 / L(x,y,z)) \ a(u,x,x)) * u = (1 / L(x,y,z)) \ u. [para(10492(a,1),6999(a,1,1,2))]. given #10003 (H,wt=22): 10525 ((1 / L(x,y,z)) \ a(x,x,u)) * u = (1 / L(x,y,z)) \ u. [para(4244(a,1),10493(a,1,1,2))]. given #10004 (H,wt=20): 10526 (L(x,y,z) * a(x,x,u)) * u = (1 / L(x,y,z)) \ u. [para(10259(a,1),10525(a,1,1))]. given #10005 (H,wt=18): 10527 L(L(x,x,y),z,u) * y = (1 / L(x,z,u)) \ y. [para(10373(a,1),10526(a,1,1))]. given #10006 (H,wt=23): 10381 (L(x,x,y) * z) * L(u,z,x) != w | L(x,x,y) * (z * u) = w. [para(10369(a,1),251(a,1,2))]. given #10007 (H,wt=23): 10399 R(x,(y \ 1) * T(z \ 1,u),w) = R(x,y \ T(1 / z,u),w). [para(4101(a,1),10385(a,1,2))]. given #10008 (H,wt=23): 10468 L(1 / (x \ y),z,(y \ x) * 1) = 1 / L(x \ y,x \ y,z). [hyper(58,a,9093,a(flip),b,10467,a)]. given #10009 (H,wt=23): 10515 L(x,y \ 1,z \ ((1 / y) \ y)) = R(x,(z \ 1) \ 1,y \ 1). [hyper(58,a,8989,a(flip),b,10456,a)]. given #10010 (H,wt=23): 10528 L(1 / (x \ y),z,(y \ x) * 1) = 1 / L(x \ y,z,x \ y). [para(10354(a,2),10468(a,2,2))]. given #10011 (H,wt=21): 10530 L(1 / (x \ y),z,y \ x) = 1 / L(x \ y,z,x \ y). [para(3(a,1),10528(a,1,3))]. given #10012 (H,wt=23): 10529 L(x,y \ 1,z \ ((y / 1) * y)) = R(x,(z \ 1) \ 1,y \ 1). [hyper(58,a,9339,a(flip),b,10515,a)]. given #10013 (H,wt=21): 10531 R(x,(y \ 1) \ 1,z \ 1) = L(x,z \ 1,y \ (z * z)). [para(70(a,1),10529(a,1,3,2,1)),flip(a)]. given #10014 (H,wt=21): 10532 R(x,(y \ 1) \ 1,z \ 1) = L(x,z \ 1,z * (z / y)). [hyper(272,a,9040,a(flip),b,10531,a),flip(a)]. given #10015 (H,wt=21): 10533 R(x,(y \ 1) \ 1,z \ 1) = L(x,z \ 1,z * (y \ z)). [hyper(272,a,9134,a(flip),b,10532,a),flip(a)]. given #10016 (H,wt=17): 10534 L(x,y \ 1,y * (z \ y)) = R(x,z,y \ 1). [hyper(58,a,2477,a(flip),b,10533,a),flip(a)]. given #10017 (H,wt=24): 10383 R(x,y,T(L(z,z,z) \ 1,u) \ w) = R(x,y,T(z \ 1,u) \ w). [para(10371(a,1),8762(a,1,3,1,1,1))]. given #10018 (H,wt=21): 10536 R(x,y,T(1 / z,u) \ w) = R(x,y,T(z \ 1,u) \ w). [para(2949(a,1),10383(a,1,3,1,1))]. given #10019 (H,wt=19): 10538 R(x,y,T(1 / z,u) \ w) = R(x,y,T(z,u) * w). [hyper(272,a,8775,a(flip),b,10536,a),flip(a)]. given #10020 (H,wt=24): 10475 L(x,y,z * ((L(u,u,w) \ v5) * v6)) = L(x,y,z * ((u \ v5) * v6)). [para(10405(a,1),8936(a,1,3,2))]. given #10021 (H,wt=23): 10539 L(x,y,z * (((u \ 1) * w) * v5)) = L(x,y,z * ((u \ w) * v5)). [para(6128(a,1),10475(a,1,3,2,1))]. given #10022 (H,wt=24): 10480 L(x,(y \ 1) * z,(u \ 1) * w) != v5 | L(x,y \ z,u \ w) = v5. [para(8989(a,2),10477(a,1))]. given #10023 (H,wt=20): 10541 L(x,y / z,y / z) != u | L(x,z \ y,z \ y) = u. [para(9282(a,1),10480(a,1))]. given #10024 (H,wt=25): 10454 R(x,(y \ (y \ z)) \ 1,z / y) = L(x,z / y,(z / y) \ (y \ 1)). [para(2836(a,1),10451(a,1,3,2)),flip(a)]. given #10025 (H,wt=25): 10542 R(x,(y \ (y \ z)) \ 1,z / y) = L(x,z / y,y \ ((y \ z) \ 1)). [para(4351(a,1),10454(a,2,3))]. given #10026 (H,wt=25): 10543 R(x,(y \ (y \ z)) \ 1,z / y) = L(x,z / y,y \ ((z \ y) * 1)). [hyper(272,a,9367,a(flip),b,10542,a),flip(a)]. given #10027 (H,wt=23): 10544 R(x,(y \ (y \ z)) \ 1,z / y) = L(x,z / y,y \ (z \ y)). [para(3(a,1),10543(a,2,3,2))]. given #10028 (H,wt=26): 10479 L(x,((y \ (z \ 1)) \ u) \ 1,w) != v5 | L(x,u \ ((1 / y) / z),w) = v5. [para(4904(a,2),10477(a,1,2))]. given #10029 (H,wt=27): 10407 (L(x,x,y) * z) * L(u,z * a(x,x,y),x) = x * ((z * a(x,x,y)) * u). [para(10394(a,1),87(a,1,1))]. given #10030 (H,wt=22): 10545 (L(x,x,y) * z) * L(u,z,x) = x * ((z * a(x,x,y)) * u). [para(9204(a,1),10407(a,1,2))]. given #10031 (H,wt=19): 10546 x * ((y * a(x,x,z)) * u) = L(x,x,z) * (y * u). [hyper(10381,a,10545,a),flip(a)]. given #10032 (H,wt=19): 10548 x * (y * (a(x,x,z) * u)) = L(x,x,z) * (y * u). [para(8348(a,1),10546(a,1,2))]. given #10033 (H,wt=23): 10549 L(x,x,y) * (L(x,z,u) * w) = x * (L(L(x,x,y),z,u) * w). [para(10373(a,1),10546(a,1,2,1)),flip(a)]. given #10034 (H,wt=27): 10432 L(x,y,y) * T((y \ 1) * (y \ 1),z) = L(y \ 1,z,y \ 1) * (y \ x). [para(2030(a,1),10431(a,1,2)),flip(a)]. given #10035 (H,wt=25): 10551 L(x \ 1,y,x \ 1) * (x \ z) = L(z,x,x) * T(x \ (1 / x),y). [para(684(a,1),10432(a,1,2,1)),flip(a)]. given #10036 (H,wt=23): 10552 L(x,y,y) * T(y \ (1 / y),z) = (L(y,y,z) \ 1) * (y \ x). [para(10356(a,1),10551(a,1,1)),flip(a)]. given #10037 (H,wt=23): 10553 L(x,y,y) * T(y \ (1 / y),z) = (y \ 1) * (L(y,y,z) \ x). [hyper(272,a,10474,a(flip),b,10552,a),flip(a)]. given #10038 (H,wt=27): 10462 T(x * x,y) * z != a(y,x,x) * (x * (x * u)) | T(u,T(x * x,y)) = z. [para(10459(a,2),216(a,2))]. given #10039 (H,wt=27): 10513 T(x,T(y * y,z * y)) * T(y \ (1 / y),z) = T(y * y,z * y) \ x. [hyper(114,a,10512,a(flip),b,679,a)]. given #10040 (H,wt=22): 10554 L(x,y,y) * T(y \ (1 / y),z) = T(y * y,z * y) \ x. [para(10461(a,1),10513(a,1,1))]. given #10041 (H,wt=20): 10555 (x \ 1) * (L(x,x,y) \ z) = T(x * x,y * x) \ z. [hyper(58,a,10553,a(flip),b,10554,a)]. given #10042 (H,wt=28): 10251 K(a(x,y,z),x * (y * z)) * (1 * u) = K((x * y) * z,x * (y * z)) * u. [para(10247(a,1),6681(a,1,2,1))]. given #10043 (H,wt=26): 10558 K((x * y) * z,x * (y * z)) * u = K(a(x,y,z),x * (y * z)) * u. [para(2(a,1),10251(a,1,2)),flip(a)]. given #10044 (H,wt=16): 10560 K(a(x,y,z),x * (y * z)) * u = 1 * u. [para(9554(a,1),10558(a,1,1)),flip(a)]. given #10045 (H,wt=15): 10561 T(a(x,y,z),x * (y * z)) = a(x,y,z). [hyper(111,a,10560,a(flip),b,2741,a),flip(a)]. given #10046 (H,wt=16): 10562 a(x,y,z) = ((x * y) * z) / (x * (y * z)). [hyper(111,a,10560,a(flip),b,2948,a(flip)),flip(a)]. given #10047 (H,wt=16): 10565 a(x,y,z) = R(x \ R(x,y,z),x,y * z). [hyper(1680,a,10561,a),flip(a)]. given #10048 (H,wt=15): 10569 K(x,y \ R(y,z,u)) = K(x,a(y,z,u)). [para(10565(a,2),10191(a,1,2)),flip(a)]. given #10049 (H,wt=15): 10570 a(K(x,y),z * y,u) = K(x,a(y,z,u)). [hyper(58,a,10256,a,b,10569,a)]. given #10050 (H,wt=16): 10567 a(x,y,z) * (x * (y * z)) = (x * y) * z. [hyper(125,a,10562,a(flip))]. given #10051 (H,wt=17): 10563 K(a(x,y,z),x * (y * z)) * u != w | u = w. [para(10560(a,2),115(a,1))]. given #10052 (H,wt=17): 10571 K(x,x * a(y,z,u)) = a(K(x,y),z * y,u). [hyper(272,a,10252,a,b,10570,a)]. given #10053 (H,wt=15): 10573 K(x,x * a(y,z,u)) = a(K(x,y),z,u). [hyper(272,a,10203,a(flip),b,10571,a),flip(a)]. given #10054 (H,wt=13): 10574 a(K(x,y),z,u) = a(y,z,K(x,u)). [hyper(58,a,9448,a(flip),b,10573,a),flip(a)]. given #10055 (H,wt=13): 10575 a(K(x,y),z,u) = K(a(y,z,x),u). [hyper(272,a,10282,a(flip),b,10574,a),flip(a)]. given #10056 (H,wt=13): 10576 a(K(x,y),z,u) = a(x,z,K(y,u)). [para(28(a,1),10574(a,1,1))]. given #10057 (H,wt=13): 10579 a(x,y,K(z,u)) = a(z,y,K(x,u)). [hyper(58,a,10574,a(flip),b,10576,a)]. given #10058 (H,wt=13): 10580 a(x,y,K(z,u)) = a(u,y,K(x,z)). [para(28(a,1),10579(a,1,3))]. given #10059 (H,wt=13): 10584 a(x,y,K(z,u)) = K(x,a(u,y,z)). [hyper(272,a,10274,a(flip),b,10580,a),flip(a)]. given #10060 (H,wt=13): 10585 a(K(x,y),z,u) = a(u,z,K(y,x)). [hyper(58,a,10574,a,b,10580,a)]. given #10061 (H,wt=15): 10582 x * a(y,z,K(u,x)) = T(x,a(u,z,y)). [para(10579(a,1),10283(a,1,2))]. given #10062 (H,wt=15): 10586 x * a(x,y,K(z,u)) = T(x,a(u,y,z)). [para(10580(a,2),10276(a,1,2))]. given #10063 (H,wt=15): 10589 K(x,L(y,z,u) \ y) = a(x,z,K(y,u)). [hyper(272,a,9403,a,b,10584,a)]. given #10064 (H,wt=15): 10591 T(T(x,a(y,z,u)),y) = T(x,L(y,z,u)). [para(10582(a,1),8271(a,1,1))]. given #10065 (H,wt=15): 10594 T(T(x,y),a(y,z,u)) = T(x,L(y,z,u)). [hyper(354,a,10591,a)]. given #10066 (H,wt=17): 10581 a(x,y,K(z,u \ 1)) = a(u,y,K(x,z * u)). [para(3391(a,2),10579(a,1,3))]. given #10067 (H,wt=17): 10583 a(1 / x,y,K(z,u)) = a(z,y,K(u,x \ 1)). [hyper(272,a,2517,a,b,10580,a)]. given #10068 (H,wt=15): 10596 a(1 / x,y,K(z,u)) = a(z,y,K(u,x)). [hyper(272,a,9390,a(flip),b,10583,a),flip(a)]. given #10069 (H,wt=15): 10597 a(1 / x,y,K(z,u)) = a(z,y,K(x,u)). [para(28(a,1),10596(a,2,3))]. given #10070 (H,wt=15): 10598 a(x \ 1,y,K(z,u)) = a(z,y,K(x,u)). [hyper(58,a,2517,a(flip),b,10597,a)]. given #10071 (H,wt=17): 10590 K(x,y) * a(K(x,y),z,u) = L(K(x,y),z,u). [para(10585(a,2),6927(a,1,2))]. given #10072 (H,wt=13): 10601 R(K(x,y),z,u) = L(K(x,y),z,u). [hyper(58,a,10199,a(flip),b,10590,a)]. given #10073 (H,wt=13): 10602 R(K(x,y),z,u) = K(x,L(y,z,u)). [hyper(272,a,8229,a(flip),b,10601,a),flip(a)]. given #10074 (H,wt=13): 10604 K(x,R(y,z,u)) = K(x,L(y,z,u)). [hyper(10192,a,10602,a)]. given #10075 (H,wt=13): 10606 K(R(x,y,z),u) = K(x,L(u,y,z)). [hyper(58,a,10185,a(flip),b,10602,a)]. given #10076 (H,wt=13): 10611 K(R(x,y,z),u) = K(L(x,y,z),u). [hyper(272,a,8246,a,b,10606,a),flip(a)]. given #10077 (H,wt=15): 10612 x / T(x,L(y,z,u)) = K(R(y,z,u),x). [hyper(272,a,2670,a(flip),b,10611,a)]. given #10078 (H,wt=13): 10615 T(x,R(y,z,u)) = T(x,L(y,z,u)). [hyper(31,a,2670,a(flip),b,10612,a)]. given #10079 (H,wt=15): 10614 K(L(x,y,z),u) \ u = T(u,R(x,y,z)). [para(10611(a,1),2682(a,2,1)),flip(a)]. given #10080 (H,wt=16): 10620 T(x,R(y,z,u)) != w | T(x,L(y,z,u)) = w. [para(10614(a,1),2726(a,1))]. given #10081 (H,wt=17): 10592 T(x,a(y,z \ u,z)) = x * a(x,u,K(z,y)). [para(8255(a,1),10586(a,1,2)),flip(a)]. given #10082 (H,wt=15): 10621 T(x,a(y,z \ u,z)) = T(x,a(y,u,z)). [hyper(272,a,10586,a(flip),b,10592,a),flip(a)]. given #10083 (H,wt=17): 10595 T(T(x,y),a(y,z,u)) = T(x,L(y,z / u,u)). [hyper(10313,a,10594,a)]. given #10084 (H,wt=15): 10622 T(x,L(y,z / u,u)) = T(x,L(y,z,u)). [hyper(58,a,10594,a(flip),b,10595,a),flip(a)]. given #10085 (H,wt=15): 10623 T(x,L(y,z \ u,z)) = T(x,L(y,u,z)). [para(9009(a,1),10622(a,1,2))]. given #10086 (H,wt=15): 10624 T(x,L(y,z * u,z)) = T(x,L(y,u,z)). [para(4(a,1),10623(a,1,2,2)),flip(a)]. given #10087 (H,wt=18): 10566 T(a(x,y,z),x * (y * z)) != u | a(x,y,z) = u. [para(10561(a,1),2810(a,1,1))]. given #10088 (H,wt=18): 10587 x * a(x,y,K(z,u)) != w | T(x,a(u,y,z)) = w. [para(10580(a,2),10279(a,1,2))]. given #10089 (H,wt=18): 10607 K(x,L(y,z,u)) * (z * u) = (K(x,y) * z) * u. [para(10602(a,1),93(a,1,1))]. given #10090 (H,wt=18): 10609 K(x,L((y / z) / u,u,z)) = K(x,y / (u * z)). [para(258(a,1),10604(a,1,2)),flip(a)]. given #10091 (H,wt=18): 10613 K(L(x / y,y,z),u) = K((x * z) / (y * z),u). [para(94(a,1),10611(a,1,1)),flip(a)]. given #10092 (H,wt=18): 10626 T(x,a(y,z \ u,z)) != w | T(x,a(y,u,z)) = w. [para(10592(a,2),10587(a,1))]. given #10093 (H,wt=19): 10578 K(x,y) * L(K(x,y) \ 1,z,u) = a(x,u,K(y,z)). [hyper(1212,a,10576,a)]. given #10094 (H,wt=17): 10633 K(x,y) * L(K(x,y),z,u) = a(x,u,K(y,z)). [para(2879(a,1),10578(a,1,2,1))]. given #10095 (H,wt=17): 10634 K(x,y) * K(x,L(y,z,u)) = a(x,u,K(y,z)). [para(8229(a,1),10633(a,1,2))]. given #10096 (H,wt=17): 10635 K(x,y) * a(x,z,K(y,u)) = K(x,L(y,u,z)). [hyper(3909,a,10634,a)]. given #10097 (H,wt=13): 10639 a(x,y,K(z,u)) = a(u,x,K(z,y)). [hyper(29,a,8233,a,b,10635,a)]. given #10098 (H,wt=13): 10642 a(x,y,K(z,u)) = a(z,x,K(y,u)). [hyper(272,a,10580,a,b,10639,a),flip(a)]. given #10099 (H,wt=13): 10645 a(x,y,K(z,u)) = a(x,u,K(y,z)). [hyper(58,a,10580,a(flip),b,10639,a),flip(a)]. given #10100 (H,wt=13): 10646 a(x,y,K(z,u)) = a(u,x,K(y,z)). [para(28(a,1),10639(a,2,3))]. given #10101 (H,wt=15): 10643 a(x,y,K(z,z \ u)) = a(y,u,K(z,x)). [hyper(272,a,9386,a,b,10639,a)]. given #10102 (H,wt=15): 10650 a(x,1 / y,K(z,u)) = a(x,z,K(u,y)). [hyper(58,a,10596,a(flip),b,10642,a),flip(a)]. given #10103 (H,wt=15): 10653 a(x,y,K(z,y \ u)) = a(x,u,K(y,z)). [hyper(272,a,8255,a(flip),b,10645,a),flip(a)]. given #10104 (H,wt=15): 10654 a(x,y,K(z,u \ 1)) = a(y,z,K(u,x)). [hyper(272,a,9390,a,b,10646,a)]. given #10105 (H,wt=15): 10655 a(x,y * z,K(u,z)) = a(y,u,K(z,x)). [hyper(272,a,8257,a,b,10646,a)]. given #10106 (H,wt=15): 10657 a(x,y,K(z,y \ u)) = a(x,u,K(z,y)). [para(28(a,1),10653(a,2,3))]. given #10107 (H,wt=15): 10658 a(x,y,K(z,u * x)) = a(y,u,K(x,z)). [hyper(58,a,10581,a(flip),b,10654,a)]. given #10108 (H,wt=15): 10659 a(x,y * z,K(z,u)) = a(y,x,K(z,u)). [hyper(58,a,10580,a,b,10655,a)]. given #10109 (H,wt=15): 10660 a(x,y,K(z,u * z)) = a(x,u,K(z,y)). [hyper(58,a,10642,a,b,10658,a)]. given #10110 (H,wt=15): 10661 a(x,y,K(z,u * y)) = a(z,u,K(y,x)). [hyper(58,a,10642,a(flip),b,10658,a)]. given #10111 (H,wt=15): 10664 a(x / y,z,K(y,u)) = a(z,x,K(y,u)). [para(7(a,1),10659(a,1,2)),flip(a)]. given #10112 (H,wt=15): 10665 a(x,y,K(z,z * u)) = a(x,u,K(z,y)). [para(3189(a,1),10660(a,1,3))]. given #10113 (H,wt=15): 10666 a(x,y,K(z,u * y)) = a(z,u,K(x,y)). [para(28(a,1),10661(a,2,3))]. given #10114 (H,wt=15): 10667 a(x * y,z,K(x,u)) = a(z,y,K(x,u)). [hyper(58,a,10639,a(flip),b,10665,a)]. given #10115 (H,wt=15): 10668 a(x,y,K(z,y * u)) = a(z,u,K(x,y)). [hyper(58,a,7971,a(flip),b,10666,a)]. given #10116 (H,wt=17): 10636 K(x,L(y,z,u)) * K(x,y) = a(x,u,K(y,z)). [hyper(1499,a,10634,a)]. given #10117 (H,wt=17): 10640 K(x,y) * a(x,z,K(u,y)) = K(x,L(y,u,z)). [para(28(a,1),10635(a,1,2,3))]. given #10118 (H,wt=17): 10644 L(x \ 1,K(y,z),u) = x \ a(u,z,K(y,x)). [hyper(112,a,10639,a,b,1178,a(flip)),flip(a)]. given #10119 (H,wt=17): 10669 K(x,y) * a(x,z,K(y,u)) = K(x,L(y,z,u)). [para(10645(a,2),10640(a,1,2))]. given #10120 (H,wt=13): 10670 K(x,L(y,z,u)) = K(x,L(y,u,z)). [hyper(58,a,10635,a(flip),b,10669,a)]. given #10121 (H,wt=18): 10651 a(x,y,K(z,u)) * a(y,z,x) = T(a(y,z,x),u). [para(10642(a,1),10285(a,1,1))]. given #10122 (H,wt=18): 10671 K(x,L(y,z,u)) * (u * z) = (K(x,y) * u) * z. [para(10670(a,1),10607(a,1,1))]. given #10123 (H,wt=19): 10588 (x * y) * a(y,z,K(u,w)) = x * T(y,a(w,z,u)). [para(10580(a,2),10275(a,1,2))]. given #10124 (H,wt=13): 10674 R(x,y,K(z,u)) = T(x,a(u,y,z)). [hyper(10198,a,10588,a)]. given #10125 (H,wt=19): 10605 a(x,y,K(z,L(u,w,v5))) = R(K(a(x,y,z),u),w,v5). [hyper(272,a,10282,a,b,10602,a)]. given #10126 (H,wt=19): 10608 R(a(x,y,K(z,u)),w,v5) = K(x,L(a(u,y,z),w,v5)). [para(10584(a,2),10602(a,1,1))]. given #10127 (H,wt=19): 10610 K(x,K(y,L(z,u,w))) * y = T(y,K(x,R(z,u,w))). [para(10604(a,1),5521(a,1,1,2))]. given #10128 (H,wt=19): 10627 T(K(x,T(y,z * u)) * z,u) = T(z,u) * K(x,y). [hyper(215,a,10607,a(flip),b,9059,a(flip))]. given #10129 (H,wt=19): 10647 a(x,y \ (y / z),K(u,w)) = a(w,x,K(u,z \ 1)). [para(4439(a,1),10639(a,2,3))]. given #10130 (H,wt=17): 10677 a(x,y \ (y / z),K(u,w)) = a(w,x,K(u,z)). [hyper(272,a,9390,a(flip),b,10647,a),flip(a)]. given #10131 (H,wt=17): 10678 a(x,y \ (y / z),K(u,w)) = a(w,x,K(z,u)). [para(28(a,1),10677(a,2,3))]. given #10132 (H,wt=19): 10648 a(L(x,y,z),u,K(w,v5)) = a(u,v5,K(w,R(x,y,z))). [para(10604(a,2),10639(a,1,3)),flip(a)]. given #10133 (H,wt=19): 10656 a(x,L(y,z,u),K(w,v5)) = a(v5,x,K(y,L(w,z,u))). [para(8246(a,1),10646(a,2,3))]. given #10134 (H,wt=19): 10662 a(x / y,z,K(u,T(x,y))) = a(z,y,K(x / y,u)). [para(6070(a,1),10658(a,1,3))]. given #10135 (H,wt=19): 10675 a(x,y,K(z,L(u,w,v5))) = R(a(x,y,K(z,u)),w,v5). [para(10282(a,2),10605(a,2,1))]. given #10136 (H,wt=19): 10676 T(x,y) * K(z,T(u,x * y)) = T(K(z,u) * x,y). [para(2765(a,1),10627(a,1,1,1,2)),flip(a)]. given #10137 (H,wt=19): 10679 a(L(x,y,z),u,K(w,v5)) = a(u,v5,K(w,L(x,y,z))). [para(10604(a,1),10648(a,2,3))]. given #10138 (H,wt=19): 10681 a(x,y,K(z,L(u,w,v5))) = K(x,L(a(u,y,z),w,v5)). [hyper(272,a,10608,a(flip),b,10675,a),flip(a)]. given #10139 (H,wt=16): 10683 a(x,y,K(z,L(u,x,w))) = K(x,a(u,y,z)). [hyper(272,a,8058,a(flip),b,10681,a),flip(a)]. given #10140 (H,wt=16): 10684 a(x,y,K(z,L(u,x,w))) = a(x,y,K(z,u)). [hyper(272,a,10584,a,b,10683,a),flip(a)]. given #10141 (H,wt=19): 10682 a(L(x,y,z),u,K(w,v5)) = a(u,w,K(v5,L(x,y,z))). [para(28(a,1),10679(a,1,3))]. given #10142 (H,wt=20): 10617 R(x,y,z) \ T(u,L(x,y,z)) = u * (R(x,y,z) \ 1). [hyper(112,a,10615,a(flip),b,2843,a(flip))]. given #10143 (H,wt=20): 10638 K(x,y) * a(x,z,K(y,u)) != w | K(x,L(y,u,z)) = w. [para(10634(a,1),3919(a,1,2))]. given #10144 (H,wt=16): 10685 K(x,L(y,z,u)) != w | K(x,L(y,u,z)) = w. [para(10669(a,1),10638(a,1))]. given #10145 (H,wt=20): 10641 K(x,y) * K(x,L(y,z,u)) != w | a(x,u,K(y,z)) = w. [para(10635(a,1),3919(a,1,2))]. given #10146 (H,wt=20): 10686 K(x,L(y,z,u)) * K(x,y) != w | a(x,u,K(y,z)) = w. [para(1498(a,1),10641(a,1))]. given #10147 (H,wt=21): 10632 K((x * y) \ z,T(u,y)) = K(((x \ z) * x) / (y * x),u). [hyper(58,a,5325,a(flip),b,10613,a)]. given #10148 (H,wt=21): 10652 a(x,y,K(z,u)) * a(y,z,x) != w | T(a(y,z,x),u) = w. [para(10642(a,1),10286(a,1,1))]. given #10149 (H,wt=21): 10687 K(((x \ y) * x) / (z * x),u) = K(u,T((x * z) \ y,z)). [hyper(5268,a,10632,a),flip(a)]. given #10150 (H,wt=21): 10688 K(x,T((y * z) \ u,z)) = K(x,((y \ u) * y) / (z * y)). [hyper(508,a,10687,a),flip(a)]. given #10151 (H,wt=21): 10689 K(x,T((y * z) \ u,z)) = K(x,(y * (u / y)) / (z * y)). [para(2828(a,1),10688(a,2,2,1))]. given #10152 (H,wt=22): 10572 ((x * y) * z) / L(y * z,x,a(x,y,z)) = a(x,y,z) * x. [hyper(113,a,10567,a(flip),b,87,a)]. given #10153 (H,wt=22): 10577 ((K(x,y) * z) * u) / a(y,z,K(x,u)) = K(x,y) * (z * u). [para(10574(a,1),167(a,1,2))]. given #10154 (H,wt=22): 10593 T(L(x,y,z) \ x,u) \ x = L(x,y,z) * a(u,y,K(x,z)). [para(10589(a,1),6759(a,1,2)),flip(a)]. given #10155 (H,wt=22): 10599 L(x,y,z) * a(y,z,K(x,u)) = x * T(a(1 / x,z,y),u). [para(10597(a,1),10287(a,1,2))]. given #10156 (H,wt=22): 10600 a(x,y,K(z,u)) * (z \ L(z,u,y)) = T(a(z \ 1,y,u),x). [para(10598(a,1),10312(a,1,1))]. given #10157 (H,wt=22): 10637 K(x,y) * T(L(y,z,u),x) = a(x,u,K(y,z)) * L(y,z,u). [para(10634(a,1),3711(a,1,1)),flip(a)]. given #10158 (H,wt=22): 10673 K(x,L(y,z,u)) * (u * (z * y)) = (K(y,x) * u) * (z * y). [para(8242(a,1),10671(a,1,1))]. given #10159 (H,wt=22): 10680 a((x * x) / y,z,a(x,x,u)) = a(z,y,K((x * x) / y,u)). [para(5661(a,1),10662(a,1,3))]. given #10160 (H,wt=12): 10694 a(x,y,K((z * z) / y,u)) = 1. [hyper(58,a,8339,a(flip),b,10680,a),flip(a)]. given #10161 (H,wt=22): 10692 ((K(x,y) * z) * u) * a(y,z,K(u,x)) = K(x,y) * (z * u). [hyper(7952,a,10577,a)]. given #10162 (H,wt=20): 10696 (K(x,y) * z) * T(u,a(y,z,x)) = K(x,y) * (z * u). [hyper(10281,a,10692,a)]. given #10163 (H,wt=13): 10697 L(x,y,K(z,u)) = T(x,a(u,y,z)). [hyper(429,a,10696,a)]. given #10164 (H,wt=13): 10698 R(x,y,K(z,u)) = L(x,y,K(z,u)). [hyper(272,a,10674,a,b,10697,a)]. given #10165 (H,wt=15): 10699 x * a(y,z,K(u,x)) = L(x,z,K(y,u)). [hyper(272,a,10582,a,b,10697,a)]. given #10166 (H,wt=15): 10700 x * a(y,z,K(x,u)) = L(x,z,K(u,y)). [hyper(272,a,10276,a,b,10697,a)]. given #10167 (H,wt=15): 10701 L(x,y \ z,K(y,u)) = T(x,a(u,z,y)). [hyper(272,a,10621,a(flip),b,10697,a),flip(a)]. given #10168 (H,wt=15): 10702 L(T(x,y),z,K(u,y)) = T(x,L(y,z,u)). [hyper(272,a,10594,a(flip),b,10697,a),flip(a)]. given #10169 (H,wt=15): 10707 x * a(x,y,K(z,u)) = L(x,u,K(y,z)). [para(10639(a,1),10699(a,1,2))]. given #10170 (H,wt=15): 10708 x * a(y,z,K(x,u)) = L(x,u,K(y,z)). [para(10645(a,2),10699(a,1,2))]. given #10171 (H,wt=13): 10711 L(x,y,K(z,u)) = T(x,a(z,u,y)). [hyper(10279,a,10708,a),flip(a)]. given #10172 (H,wt=12): 10716 L(x,y \ (y \ 1),K(z,u)) = x. [hyper(272,a,10318,a(flip),b,10711,a),flip(a)]. given #10173 (H,wt=13): 10712 L(x,y,K(z,u)) = L(x,u,K(y,z)). [hyper(58,a,10700,a(flip),b,10708,a),flip(a)]. given #10174 (H,wt=13): 10727 L(x,y,K(z,u)) = L(x,z,K(y,u)). [para(28(a,1),10712(a,1,3))]. given #10175 (H,wt=15): 10709 L(x,y \ z,K(y,u)) = L(x,z,K(y,u)). [hyper(272,a,10697,a,b,10701,a),flip(a)]. given #10176 (H,wt=15): 10710 L(T(x,y),z,K(y,u)) = T(x,L(y,z,u)). [para(28(a,1),10702(a,1,3))]. given #10177 (H,wt=15): 10713 x * a(y,z,K(u,x)) = L(x,y,K(z,u)). [para(10646(a,1),10708(a,1,2))]. given #10178 (H,wt=15): 10715 L(T(x,y),z,K(y,u)) = T(x,L(y,u,z)). [hyper(272,a,10594,a(flip),b,10711,a),flip(a)]. given #10179 (H,wt=13): 10730 T(x,L(y,z,u)) = T(x,L(y,u,z)). [hyper(58,a,10710,a(flip),b,10715,a)]. given #10180 (H,wt=15): 10724 L(x,y \ (y \ 1),K(z,u)) != w | x = w. [para(10711(a,2),10319(a,1))]. given #10181 (H,wt=15): 10726 L(T(x,y),y,K(z,u)) = T(x,L(y,z,u)). [hyper(58,a,10702,a(flip),b,10712,a),flip(a)]. given #10182 (H,wt=15): 10728 L(x,y * z,K(y,u)) = L(x,z,K(y,u)). [para(4(a,1),10709(a,1,2)),flip(a)]. given #10183 (H,wt=16): 10734 L(L(x,y,z),y,K(z,u)) = L(x,y,T(z,u)). [hyper(7023,a,10728,a),flip(a)]. given #10184 (H,wt=11): 10736 L(x,y,T(y,z)) = L(x,y,y). [hyper(2705,a,10734,a),flip(a)]. given #10185 (H,wt=11): 10739 L(x,T(y,z),y) = L(x,y,y). [hyper(1029,a,10736,a)]. given #10186 (H,wt=16): 10738 L(L(x,y,z),u,K(y,z)) = L(x,y,T(z,u)). [hyper(58,a,10712,a(flip),b,10734,a)]. given #10187 (H,wt=16): 10741 L(L(x,y,z),u,K(z,y)) = L(x,y,T(z,u)). [para(28(a,1),10738(a,1,3))]. given #10188 (H,wt=17): 10722 T(x \ 1,a(y,z,u)) = L(x,u,K(y,z)) \ 1. [para(10711(a,2),10260(a,2,1))]. given #10189 (H,wt=17): 10725 x * L(y,z,K(u,w)) = x * L(y,w,K(z,u)). [hyper(114,a,10712,a,b,4,a)]. given #10190 (H,wt=17): 10729 x * a(1 / x,y,K(z,u)) = L(x,z,K(y,u)). [para(10596(a,2),10713(a,1,2))]. given #10191 (H,wt=13): 10744 L(x,K(y,z),u) = L(x,y,K(u,z)). [hyper(2521,a,10729,a)]. given #10192 (H,wt=13): 10745 L(x,K(y,z),u) = L(x,z,K(u,y)). [para(28(a,1),10744(a,1,2))]. given #10193 (H,wt=17): 10732 L(x / y,y,K(z,u)) = T(y \ x,L(y,z,u)). [para(2775(a,1),10726(a,1,1))]. given #10194 (H,wt=17): 10742 L(x \ 1,y,K(z,u)) = L(x,y,K(z,u)) \ 1. [hyper(58,a,10711,a,b,10722,a)]. given #10195 (H,wt=17): 10743 x * L(y,z,K(u,w)) = x * L(y,w,K(u,z)). [para(28(a,1),10725(a,2,2,3))]. given #10196 (H,wt=17): 10746 L(x \ 1,y,K(z,u)) = x \ a(z,y,K(u,x)). [hyper(58,a,10644,a(flip),b,10745,a),flip(a)]. given #10197 (H,wt=17): 10751 L(x \ 1,y,K(z,u)) = x \ a(u,y,K(z,x)). [para(28(a,1),10746(a,1,3))]. given #10198 (H,wt=18): 10703 L(x,y \ z,K(y,u)) != w | T(x,a(u,z,y)) = w. [para(10697(a,2),10626(a,1))]. given #10199 (H,wt=18): 10717 L(a(x,y,z) \ u,z,K(x,y)) = u / a(x,y,z). [hyper(272,a,2775,a(flip),b,10711,a),flip(a)]. given #10200 (H,wt=19): 10721 K(x,a(y,z,u)) * (x / w) = L(x,u,K(y,z)) / w. [para(10711(a,2),5591(a,2,1))]. given #10201 (H,wt=19): 10723 x * (L(x,y,K(z,u)) \ w) = a(z,u,K(x,y)) * w. [para(10711(a,2),10280(a,1,2,1))]. given #10202 (H,wt=19): 10731 L(T(x,y),y,K(z,u \ 1)) = T(x,L(y,z,1 / u)). [para(2369(a,1),10726(a,1,3))]. given #10203 (H,wt=17): 10756 T(x,L(y,z,1 / u)) = L(T(x,y),y,K(z,u)). [hyper(58,a,8971,a(flip),b,10731,a),flip(a)]. given #10204 (H,wt=15): 10757 T(x,L(y,z,1 / u)) = T(x,L(y,z,u)). [hyper(272,a,10726,a(flip),b,10756,a),flip(a)]. given #10205 (H,wt=15): 10758 T(x,L(y,z,u \ 1)) = T(x,L(y,z,u)). [para(72(a,1),10757(a,1,2,3)),flip(a)]. given #10206 (H,wt=19): 10735 L(L(x,y,z),y,K(z,u)) != w | L(x,y,T(z,u)) = w. [para(10728(a,1),7023(a,1))]. given #10207 (H,wt=19): 10754 a(x,y,K(z,u)) * (u / w) = L(u,z,K(x,y)) / w. [para(10277(a,2),10721(a,1,1))]. given #10208 (H,wt=19): 10755 a(x,y,K(z,u)) * (z \ w) = L(z,u,K(x,y)) \ w. [hyper(1284,a,10723,a),flip(a)]. given #10209 (H,wt=19): 10760 L(L(x,y,z),u,K(y,z)) != w | L(x,y,T(z,u)) = w. [para(10712(a,1),10735(a,1))]. given #10210 (H,wt=20): 10706 L(x,y,K(z,u)) * (y * K(z,u)) = (x * y) * K(z,u). [para(10698(a,1),93(a,1,1))]. given #10211 (H,wt=20): 10718 L(a(x,y,z) * u,z,K(x,y)) = u / (a(x,y,z) \ 1). [hyper(272,a,680,a(flip),b,10711,a),flip(a)]. given #10212 (H,wt=20): 10719 a(x,y,z) \ L(u,z,K(x,y)) = u * (a(x,y,z) \ 1). [hyper(112,a,10711,a,b,2843,a(flip))]. given #10213 (H,wt=20): 10733 L(L(x,y,y),y * y,K(z,u)) = T(x,L(y * y,z,u)). [para(2952(a,1),10726(a,1,1))]. given #10214 (H,wt=20): 10752 L(x \ 1,y,K(z,u)) != x \ w | a(u,y,K(z,x)) = w. [para(10751(a,2),42(a,1))]. given #10215 (H,wt=20): 10761 L(x,y,K(z,u)) \ L(x,y,u) = T(a(x \ 1,u,y),z). [hyper(58,a,10600,a(flip),b,10755,a),flip(a)]. given #10216 (H,wt=21): 10720 L(x / a(y,z,u),u,K(y,z)) != w | a(y,z,u) \ x = w. [para(10711(a,2),581(a,1))]. given #10217 (H,wt=21): 10737 L(x,y,z) * a(y,z,K(u,L(x,y,z))) = L(x,y,T(z,u)). [hyper(58,a,10713,a,b,10734,a)]. given #10218 (H,wt=18): 10767 L(x,y,z) * a(y,z,K(u,x)) = L(x,y,T(z,u)). [para(10684(a,1),10737(a,1,2))]. given #10219 (H,wt=18): 10768 L(x,y,z) * a(y,z,K(x,u)) = L(x,y,T(z,u)). [para(28(a,1),10767(a,1,2,3))]. given #10220 (H,wt=18): 10770 L(x,y,z) * a(u,y,K(x,z)) = L(x,y,T(z,u)). [para(10639(a,1),10768(a,1,2))]. given #10221 (H,wt=17): 10771 T(L(x,y,z) \ x,u) \ x = L(x,y,T(z,u)). [hyper(58,a,10593,a,b,10770,a)]. given #10222 (H,wt=17): 10773 T(L(x,y,z) \ x,u) = L(x,y,T(z,u)) \ x. [hyper(34,a,2498,a,b,10771,a),flip(a)]. given #10223 (H,wt=19): 10772 T(a(x \ 1,y,z) \ 1,u) \ x = L(x,z,T(y,u)). [hyper(58,a,6978,a(flip),b,10771,a)]. given #10224 (H,wt=21): 10749 ((L(x,y,K(z,u)) \ 1) \ 1) \ 1 = L(1 / x,y,K(z,u)). [para(10742(a,1),4953(a,1,1,1))]. given #10225 (H,wt=17): 10774 L(1 / x,y,K(z,u)) = 1 / L(x,y,K(z,u)). [hyper(2988,a,10749,a),flip(a)]. given #10226 (H,wt=22): 10693 L(x,y,z) * a(y,z,K(x,u)) = x * T(a(x \ 1,z,y),u). [para(2517(a,1),10599(a,2,2,1))]. given #10227 (H,wt=17): 10775 x * T(a(x \ 1,y,z),u) = L(x,z,T(y,u)). [hyper(58,a,10768,a(flip),b,10693,a),flip(a)]. given #10228 (H,wt=17): 10776 T(a(x \ 1,y,z),u) * x = L(x,z,T(y,u)). [hyper(2530,a,10775,a)]. given #10229 (H,wt=22): 10766 a(x,y,K(z,u)) * L(z,u,y) = z * T(a(z \ 1,y,u),x). [para(10761(a,1),10723(a,1,2)),flip(a)]. given #10230 (H,wt=21): 10778 K(x,y) * T(L(y,z,u),x) = y * T(a(y \ 1,u,z),x). [hyper(58,a,10637,a,b,10766,a)]. given #10231 (H,wt=21): 10779 K(x,y) * L(T(y,x),z,u) = y * T(a(y \ 1,u,z),x). [para(20(a,2),10778(a,1,2))]. given #10232 (H,wt=17): 10780 K(x,y) * L(T(y,x),z,u) = L(y,z,T(u,x)). [hyper(272,a,10775,a(flip),b,10779,a),flip(a)]. given #10233 (H,wt=17): 10782 K(x,y) * L(T(x,y),z,u) = L(x,z,T(u,y)). [para(28(a,1),10780(a,1,1))]. given #10234 (H,wt=19): 10783 L(T(x,y),z,u) \ T(x,y) = L(x,z,T(u,y)) \ x. [para(10780(a,1),5652(a,1,1)),flip(a)]. given #10235 (H,wt=23): 10568 a(x,y,z) * (x * (y * z)) != u * w | ((x * y) * z) / w = u. [para(10562(a,2),467(a,1,1))]. given #10236 (H,wt=23): 10618 T(x,T((y * z) * u,L(y,z,u))) = T(x,(z * u) * R(y,z,u)). [para(10615(a,1),6040(a,1,2))]. given #10237 (H,wt=23): 10628 K(x,L(y,z,u)) * (z * u) != u * w | T(K(x,y) * z,u) = w. [para(10607(a,2),216(a,2)),flip(a)]. given #10238 (H,wt=23): 10663 a((1 / x) / y,z,K(u,y \ 1)) = a(z,x,K((1 / x) / y,u)). [para(6080(a,1),10658(a,1,3))]. given #10239 (H,wt=23): 10714 T(x,L(y \ z,u,w) * (z \ y)) = L(x,u,K((y \ z) \ 1,w)). [hyper(272,a,9696,a,b,10711,a)]. given #10240 (H,wt=23): 10750 (K(x,y) * z) * L(u,y,K(x,z)) != w | K(x,y) * (z * u) = w. [para(10743(a,1),251(a,1))]. given #10241 (H,wt=23): 10753 L(a(x * x,y,z) \ u,z,a(x,x,y)) = u / a(x * x,y,z). [para(4211(a,1),10717(a,1,3))]. given #10242 (H,wt=17): 10789 x / a(y * y,z,u) = a(y * y,z,u) \ x. [hyper(8403,a,10753,a),flip(a)]. given #10243 (H,wt=20): 10791 a(x * x,y,z) \ u != u / w | a(x * x,y,z) = w. [para(10789(a,1),40(a,1))]. given #10244 (H,wt=23): 10762 (x * y) * K(z,u) != w * (y * K(z,u)) | L(x,y,K(z,u)) = w. [para(10706(a,1),39(a,1))]. given #10245 (H,wt=23): 10777 T(a(x \ 1,y,z) \ 1,u) \ x = T(a(x \ 1,y,z),u) * x. [hyper(272,a,10772,a,b,10776,a)]. given #10246 (H,wt=19): 10792 T(L(x,y,z) \ x,u) \ 1 = T(a(x \ 1,z,y),u). [hyper(7240,a,10777,a)]. given #10247 (H,wt=17): 10793 (x * (L(y,z,u) \ y)) \ x = a(y \ 1,u,z). [hyper(3242,a,10792,a(flip))]. given #10248 (H,wt=17): 10794 x / a(y \ 1,z,u) = x * (L(y,u,z) \ y). [hyper(178,a,10793,a)]. given #10249 (H,wt=17): 10795 x / (y \ L(y,z,u)) = x * (L(y,z,u) \ y). [hyper(58,a,1195,a(flip),b,10794,a)]. given #10250 (H,wt=17): 10796 (x \ L(x,y,z)) \ u = (L(x,y,z) \ x) * u. [hyper(6572,a,10795,a)]. given #10251 (H,wt=17): 10797 x / (L(y,z,u) \ y) = x * (y \ L(y,z,u)). [hyper(277,a,10795,a),flip(a)]. given #10252 (H,wt=17): 10799 (L(x,y,z) \ x) \ u = (x \ L(x,y,z)) * u. [hyper(286,a,10796,a),flip(a)]. given #10253 (H,wt=17): 10800 (L(x,y,z) \ x) * u = x * (L(x,y,z) \ u). [hyper(58,a,8314,a(flip),b,10796,a),flip(a)]. given #10254 (H,wt=17): 10802 x \ ((L(x,y,z) \ x) * u) = L(x,y,z) \ u. [hyper(112,a,10796,a(flip),b,8314,a(flip))]. given #10255 (H,wt=17): 10806 (L(x,y,z) \ x) \ u = L(x,y,z) * (x \ u). [hyper(272,a,8307,a(flip),b,10799,a),flip(a)]. given #10256 (H,wt=17): 10808 L(x,y,z) \ (x * u) = (L(x,y,z) \ x) * u. [hyper(272,a,1274,a,b,10800,a)]. given #10257 (H,wt=17): 10809 (L(x,y,z) \ x) * (L(x,y,z) * u) = x * u. [hyper(272,a,138,a(flip),b,10800,a),flip(a)]. given #10258 (H,wt=19): 10801 T(x \ L(x,y,z),u) \ 1 = T(L(x,y,z) \ x,u). [hyper(215,a,10796,a(flip),b,3006,a),flip(a)]. given #10259 (H,wt=19): 10804 (L(1 / x,y,z) \ (1 / x)) * u = a(x,z,y) \ u. [para(1180(a,2),10796(a,1,1)),flip(a)]. given #10260 (H,wt=15): 10812 (a(x,y,z) \ 1) * u = a(x,y,z) \ u. [para(2536(a,1),10804(a,1,1))]. given #10261 (H,wt=12): 10817 L(x,a(y,z,u),a(y,z,u)) = x. [hyper(29,a,2030,a,b,10812,a)]. given #10262 (H,wt=13): 10815 x / a(y,x,z) = a(y,x,z) \ x. [hyper(58,a,10255,a(flip),b,10812,a)]. given #10263 (H,wt=15): 10813 (a(x,y,z) \ 1) \ u = a(x,y,z) * u. [hyper(112,a,4,a(flip),b,10812,a)]. given #10264 (H,wt=15): 10816 (x * a(y,z,u)) \ x = a(y,z,u) \ 1. [hyper(30,a,4345,a,b,10812,a)]. given #10265 (H,wt=15): 10818 x * (a(y,z,u) \ 1) = x / a(y,z,u). [hyper(29,a,1137,a,b,10812,a)]. given #10266 (H,wt=15): 10821 x / (a(y,z,u) \ 1) = x * a(y,z,u). [hyper(113,a,10817,a(flip),b,2005,a)]. given #10267 (H,wt=15): 10822 L(x,a(y,z,u),a(y,z,u)) != w | x = w. [para(10817(a,1),45(a,2))]. given #10268 (H,wt=15): 10826 (a(x,y,z) \ u) \ u = T(a(x,y,z),u). [hyper(215,a,10813,a(flip),b,3462,a),flip(a)]. given #10269 (H,wt=17): 10814 (x * a(y,z,u)) \ 1 = a(y,z,u) \ (x \ 1). [hyper(58,a,10293,a(flip),b,10812,a)]. given #10270 (H,wt=18): 10823 a(x,y,z) * u != w | (a(x,y,z) \ 1) \ u = w. [para(10817(a,1),2010(a,1))]. given #10271 (H,wt=18): 10828 a(x,y,z) \ 1 != u \ w | w * a(x,y,z) = u. [para(10816(a,1),43(a,1))]. given #10272 (H,wt=18): 10829 x / (a(y,z,u) \ 1) != w | x * a(y,z,u) = w. [para(10816(a,1),280(a,1,2))]. given #10273 (H,wt=18): 10830 ((x * y) * z) \ (x * (y * z)) = a(x,y,z) \ 1. [para(79(a,1),10816(a,1,1))]. given #10274 (H,wt=18): 10832 L(a(x,y,z) * u,z,K(x,y)) = u * a(x,y,z). [hyper(58,a,10718,a,b,10821,a)]. given #10275 (H,wt=18): 10835 L(a(x,y,z) * u,x,K(y,z)) = u * a(x,y,z). [hyper(58,a,10712,a,b,10832,a)]. given #10276 (H,wt=19): 10811 1 / T(x \ L(x,y,z),u) = T(L(x,y,z) \ x,u). [hyper(58,a,7540,a,b,10801,a)]. given #10277 (H,wt=20): 10827 (a(x,y,z) \ 1) \ u != u * w | T(a(x,y,z),u) = w. [para(10813(a,2),216(a,2)),flip(a)]. given #10278 (H,wt=22): 10803 (x \ L(x,y,z)) \ u != u * w | T(L(x,y,z) \ x,u) = w. [para(10796(a,2),216(a,2)),flip(a)]. given #10279 (H,wt=22): 10831 (a(x,y,z) \ 1) * u != w * v5 | (a(x,y,z) \ u) / v5 = w. [para(10816(a,1),3321(a,1,1))]. given #10280 (H,wt=23): 10785 K(x,x \ y) * L((x \ y) \ y,z,u) = L(x,z,T(u,x \ y)). [para(99(a,1),10782(a,1,2,1))]. given #10281 (H,wt=23): 10787 a((1 / x) / y,z,K(u,y \ 1)) = a(z,x,K(u,(1 / x) / y)). [para(28(a,1),10663(a,2,3))]. given #10282 (H,wt=23): 10788 T(x,L(y \ z,u,w) * (z \ y)) = L(x,u,K(w,(y \ z) \ 1)). [para(28(a,1),10714(a,2,3))]. given #10283 (H,wt=21): 10839 T(x,L(y \ z,u,w) * (z \ y)) = L(x,u,K(w,z \ y)). [para(4431(a,1),10788(a,2,3))]. given #10284 (H,wt=23): 10805 (L(x * y,z,u) \ (x * y)) * w = a(y \ (x \ 1),u,z) \ w. [para(10448(a,1),10796(a,1,1)),flip(a)]. given #10285 (H,wt=23): 10819 (a(x,y,z) * a(x,y,z)) * u = a(x,y,z) * (a(x,y,z) * u). [hyper(3557,a,10812,a(flip)),flip(a)]. given #10286 (H,wt=23): 10825 (x * a(y,z,u)) * a(y,z,u) = a(y,z,u) * (a(y,z,u) * x). [hyper(3628,a,10813,a)]. given #10287 (H,wt=23): 10834 (x * a(y,z,u)) * a(y,z,u) = x * (a(y,z,u) * a(y,z,u)). [para(10821(a,1),3370(a,1,1))]. given #10288 (H,wt=23): 10838 a((1 / x) / y,z,K(u,y \ 1)) = a(z,x,K(u,x \ (y \ 1))). [para(4899(a,1),10787(a,2,3))]. given #10289 (H,wt=21): 10840 a((1 / x) / y,z,K(u,y)) = a(z,x,K(u,x \ (y \ 1))). [hyper(58,a,9390,a(flip),b,10838,a)]. given #10290 (H,wt=21): 10841 a((1 / x) / y,z,K(y,u)) = a(z,x,K(u,x \ (y \ 1))). [para(28(a,1),10840(a,1,3))]. given #10291 (H,wt=19): 10842 a(x,y,K(z,y \ (u \ 1))) = a(x,1 / y,K(u,z)). [hyper(58,a,10664,a(flip),b,10841,a),flip(a)]. given #10292 (H,wt=17): 10843 a(x,y \ 1,K(z,u)) = a(x,1 / u,K(y,z)). [hyper(58,a,10657,a(flip),b,10842,a)]. given #10293 (H,wt=15): 10844 a(x,y \ 1,K(z,u)) = a(x,y,K(z,u)). [hyper(272,a,10650,a(flip),b,10843,a),flip(a)]. given #10294 (H,wt=23): 10845 a(x,L(y \ 1,z,u),K(w,v5)) = a(x,a(y,u,z) \ y,K(w,v5)). [hyper(58,a,5936,a(flip),b,10844,a),flip(a)]. given #10295 (H,wt=24): 10603 L(K(x,y),z,u) \ (u * (K(x,y) * z)) = z * T(u,K(x,y) * z). [para(10601(a,1),8123(a,1,1))]. given #10296 (H,wt=24): 10625 T(a(x * y,z,x),x * ((y * z) * x)) != u | a(x * y,z,x) = u. [para(8590(a,1),10566(a,1))]. given #10297 (H,wt=24): 10629 K(x,L(y \ (y \ (z / u)),y * y,u)) = K(x,z / ((y * y) * u)). [para(3009(a,1),10609(a,1,2,1))]. given #10298 (H,wt=24): 10649 a(x,L((y / z) / u,u,z),K(w,v5)) = a(v5,x,K(w,y / (u * z))). [para(10609(a,1),10639(a,2,3))]. given #10299 (H,wt=24): 10747 (K(x,y) * z) * L(u,y,K(z,x)) = T(z,K(x,y)) * (K(x,y) * u). [hyper(114,a,10745,a(flip),b,9002,a(flip))]. given #10300 (H,wt=24): 10759 T(x,y \ (z \ (((1 / z) \ y) * u))) = T(x,L(u,(z \ 1) \ y,z)). [hyper(58,a,8879,a,b,10758,a)]. given #10301 (H,wt=22): 10848 T(x,y \ ((y * (z / u)) * u)) = T(x,L(z,(u \ 1) \ y,u)). [para(666(a,1),10759(a,1,2,2))]. given #10302 (H,wt=24): 10764 L(x,y,K(z,T(u,y))) * (K(z,u) * y) = (x * y) * K(z,T(u,y)). [para(5236(a,1),10706(a,1,2))]. given #10303 (H,wt=24): 10765 L(a(x \ 1,y,z) * u,z,K(x \ 1,y)) = u / (L(x,z,y) \ x). [para(2533(a,2),10718(a,2,2))]. given #10304 (H,wt=24): 10807 T(L(x,y,z) \ x,L(x,y,z) * u) = (L(x,y,z) * u) \ (x * u). [hyper(359,a,138,a(flip),b,10800,a)]. given #10305 (H,wt=24): 10810 K(x,y * (L(y,z,u) \ x)) != w | K(x,x * (L(y,z,u) \ y)) = w. [para(10800(a,1),3190(a,1,2))]. given #10306 (H,wt=24): 10833 T(L(x,y,z) * u,a(x \ 1,z,y)) = (x * u) * a(x \ 1,z,y). [hyper(58,a,8317,a,b,10821,a)]. given #10307 (H,wt=24): 10837 T(L(x,y,z) \ x,L(x,y,z) * (x \ u)) = T(L(x,y,z) \ x,u). [hyper(58,a,8315,a,b,10811,a)]. given #10308 (H,wt=24): 10846 L(K(x,y),z,u) * (u * (K(y,x) * z)) = z * T(u,K(y,x) * z). [hyper(7921,a,10603,a)]. given #10309 (H,wt=24): 10847 (K(x,y) * z) * L(u,y,K(x,z)) = T(z,K(x,y)) * (K(x,y) * u). [para(28(a,1),10747(a,1,2,3))]. given #10310 (H,wt=19): 10853 T(x,K(y,z)) * (K(y,z) * u) = K(y,z) * (x * u). [hyper(10750,a,10847,a),flip(a)]. given #10311 (H,wt=19): 10854 (x * T(y,K(z,u))) * K(z,u) = (x * K(z,u)) * y. [hyper(4945,a,10853,a)]. given #10312 (H,wt=19): 10855 K(x,y) * (T(z,K(x,y)) * u) = z * (K(x,y) * u). [para(2765(a,1),10853(a,1,1)),flip(a)]. given #10313 (H,wt=17): 10858 T(K(x,y),z) * (z * u) = z * (K(x,y) * u). [hyper(4239,a,10855,a)]. given #10314 (H,wt=17): 10860 K(x,T(y,z)) * (z * u) = z * (K(x,y) * u). [para(5238(a,2),10858(a,1,1))]. given #10315 (H,wt=17): 10861 x \ (K(y,T(z,x)) * u) = K(y,z) * (x \ u). [hyper(518,a,10860,a)]. given #10316 (H,wt=17): 10867 K(x,T(y,z)) * (z \ u) = z \ (K(x,y) * u). [para(2765(a,1),10861(a,1,2,1,2)),flip(a)]. given #10317 (H,wt=19): 10857 (x * K(y,z)) * T(u,K(y,z)) = (x * u) * K(y,z). [para(2765(a,1),10854(a,1,1,2)),flip(a)]. given #10318 (H,wt=19): 10859 K(x,y) * (T(z,K(x,y)) \ u) = z \ (K(x,y) * u). [hyper(518,a,10855,a),flip(a)]. given #10319 (H,wt=19): 10866 K(x,y * z) * (y * u) = y * (K(x,z * y) * u). [para(6073(a,1),10860(a,1,1))]. given #10320 (H,wt=19): 10868 (x * x) \ (K(y,z) * u) = K(y,z) * ((x * x) \ u). [para(5969(a,1),10861(a,1,2,1))]. given #10321 (H,wt=19): 10870 (x * K(y,z)) \ (u * K(y,z)) = T(x \ u,K(y,z)). [hyper(112,a,136,a(flip),b,10857,a)]. given #10322 (H,wt=19): 10871 (x * (y * x)) * K(z,u) = x * (y * (x * K(z,u))). [hyper(58,a,7528,a(flip),b,10857,a),flip(a)]. given #10323 (H,wt=19): 10873 K(x,y) * (z \ (K(x,y) * u)) = T(z,K(x,y)) \ u. [hyper(3909,a,10859,a)]. given #10324 (H,wt=19): 10878 (x / K(y,z)) \ (u * K(y,z)) = T(x \ u,K(y,z)). [para(3923(a,2),10870(a,1,1))]. given #10325 (H,wt=19): 10880 T(x,y) * (T(y,K(z,u)) \ 1) = T(y,K(z,u)) \ x. [hyper(58,a,6952,a,b,10873,a)]. given #10326 (H,wt=11): 10882 T(x,T(y,K(z,u))) = T(x,y). [hyper(30,a,676,a,b,10880,a)]. given #10327 (H,wt=9): 10884 T(x,K(y,K(z,u))) = x. [hyper(35,a,5486,a(flip),b,10882,a),flip(a)]. given #10328 (H,wt=12): 10897 T(x,K(y,K(z,u))) != w | x = w. [para(10884(a,1),44(a,2))]. given #10329 (H,wt=13): 10885 K(x,T(y,K(z,u))) = x \ T(x,y). [hyper(112,a,10882,a(flip),b,2674,a(flip)),flip(a)]. given #10330 (H,wt=11): 10905 K(x,T(y,K(z,u))) = K(x,y). [hyper(272,a,2672,a,b,10885,a),flip(a)]. given #10331 (H,wt=13): 10892 T(x,T(K(y,z),u)) = T(x,K(y,z)). [hyper(5497,a,10884,a)]. given #10332 (H,wt=13): 10895 T(K(x,K(y,z)),u) = K(x,K(y,z)). [hyper(49,a,10884,a)]. given #10333 (H,wt=13): 10909 K(x,T(y,T(z,u))) = K(x,T(y,z)). [para(5485(a,1),10905(a,1,2))]. given #10334 (H,wt=13): 10916 T(x,K(y,T(z,u))) = T(x,K(y,z)). [para(5238(a,2),10892(a,1,2))]. given #10335 (H,wt=13): 10918 K(x,T(K(y,z),u)) = K(x,K(y,z)). [hyper(5291,a,10895,a)]. given #10336 (H,wt=14): 10904 T(x,T(y,K(z,u))) != w | T(x,y) = w. [para(5487(a,1),10897(a,1))]. given #10337 (H,wt=15): 10883 T(x,K(y,z) * u) = T(x,u * K(y,z)). [hyper(6065,a,10882,a),flip(a)]. given #10338 (H,wt=15): 10890 K(x,K(y,z) * u) = K(x,u * K(y,z)). [hyper(6516,a,10884,a)]. given #10339 (H,wt=15): 10893 K(x,K(y,z)) * u = u * K(x,K(y,z)). [hyper(1665,a,10884,a),flip(a)]. given #10340 (H,wt=15): 10911 K(x,T(y,z * u)) = K(x,T(y,u * z)). [para(6034(a,1),10905(a,1,2))]. given #10341 (H,wt=15): 10917 T(x,K(y,z / u)) = T(x,K(y,u \ z)). [para(5247(a,1),10892(a,1,2)),flip(a)]. given #10342 (H,wt=15): 10923 K(x,T(y,z \ (u \ z))) = K(x,T(y,u)). [hyper(58,a,6000,a,b,10909,a)]. given #10343 (H,wt=15): 10931 T(x,K(y,z) * u) = T(x,u * K(z,y)). [hyper(58,a,5772,a,b,10883,a)]. given #10344 (H,wt=15): 10936 K(x,K(y,z) * u) = K(x,u * K(z,y)). [hyper(5773,a,10890,a)]. given #10345 (H,wt=15): 10942 T(x,K(y / z,u)) = T(x,K(u,y \ z)). [hyper(58,a,5555,a,b,10917,a)]. given #10346 (H,wt=16): 10927 T(x,T(y,T(z,u))) != w | T(x,T(y,z)) = w. [para(5485(a,1),10904(a,1,2))]. given #10347 (H,wt=17): 10903 R(1 / (x / y),x / y,y) != z | y / x = z. [para(938(a,1),10897(a,1))]. given #10348 (H,wt=17): 10920 K(x,K(y,z)) * T(x,u) = T(T(x,u),K(y,z)). [para(10895(a,1),5230(a,1,1))]. given #10349 (H,wt=17): 10925 T(T(x,T(y,z)),K(u,y)) = T(x,T(T(y,z),u)). [hyper(5497,a,10916,a),flip(a)]. given #10350 (H,wt=17): 10932 T(x,K(y,z) * (u * z)) = T(x,u * T(z,y)). [para(3659(a,1),10883(a,2,2))]. given #10351 (H,wt=17): 10933 T(x,(y \ z) * K(y,u)) = T(x,T(y,u) \ z). [para(3886(a,1),10883(a,1,2)),flip(a)]. given #10352 (H,wt=17): 10937 K(x,K(y,z) * (u / y)) = K(x,u / T(y,z)). [para(3987(a,1),10890(a,2,2))]. given #10353 (H,wt=17): 10945 T(T(x,T(y,z)),K(y,u)) = T(x,T(T(y,z),u)). [hyper(3868,a,10925,a)]. given #10354 (H,wt=17): 10946 T(T(x,K(y,z)),T(z,u)) = T(x,T(T(z,u),y)). [hyper(354,a,10925,a)]. given #10355 (H,wt=18): 10888 T(x,K(y,z) * u) != w | T(x,u * K(y,z)) = w. [para(10882(a,1),6065(a,1))]. given #10356 (H,wt=18): 10898 K(x,K(y,z)) * u != w | u * K(x,K(y,z)) = w. [para(10884(a,1),248(a,1,2))]. given #10357 (H,wt=18): 10899 x * K(y,K(z,u)) != w | K(y,K(z,u)) * x = w. [para(10884(a,1),2808(a,1,1))]. given #10358 (H,wt=18): 10912 K(x,K(y,z) * u) != w | K(x,u * K(y,z)) = w. [para(10905(a,1),6084(a,1))]. given #10359 (H,wt=18): 10928 T(x,T(y,z * u)) != w | T(x,T(y,u * z)) = w. [para(6034(a,1),10904(a,1,2))]. given #10360 (H,wt=18): 10938 K(x,y * K(z,u)) != w | K(x,K(u,z) * y) = w. [para(10890(a,1),5773(a,1))]. given #10361 (H,wt=18): 10949 T(x,K(y,z) * u) != w | T(x,u * K(z,y)) = w. [para(28(a,1),10888(a,1,2,1))]. given #10362 (H,wt=18): 10950 T(x,y * K(z,u)) != w | T(x,y * K(u,z)) = w. [para(10931(a,1),10888(a,1))]. given #10363 (H,wt=18): 10952 K(x,K(y,z) * u) != w | K(x,u * K(z,y)) = w. [para(28(a,1),10912(a,1,2,1))]. given #10364 (H,wt=16): 10953 K(x,y) != z | K(x,y * K(u,u \ 1)) = z. [para(2417(a,1),10952(a,1))]. given #10365 (H,wt=19): 10881 T((x * K(y,z)) \ u,K(y,z)) = x \ (u * K(y,z)). [para(6(a,1),10878(a,1,1)),flip(a)]. given #10366 (H,wt=19): 10889 T(x,(K(y,z) * u) * w) = T(x,u * (w * K(y,z))). [para(6403(a,1),10882(a,1,2)),flip(a)]. given #10367 (H,wt=19): 10891 (K(x,K(y,z)) * u) * w = u * (w * K(x,K(y,z))). [hyper(6404,a,10884,a)]. given #10368 (H,wt=19): 10894 K(x,K(y,z)) * (u * K(x,y)) = u * K(x,T(y,z)). [hyper(58,a,6844,a(flip),b,10884,a)]. given #10369 (H,wt=19): 10901 K(x,K(y,z)) * (u * w) = u * (K(x,K(y,z)) * w). [para(10884(a,1),10853(a,1,1)),flip(a)]. given #10370 (H,wt=19): 10902 x \ (K(y,K(z,u)) * w) = K(y,K(z,u)) * (x \ w). [para(10884(a,1),10859(a,1,2,1)),flip(a)]. given #10371 (H,wt=19): 10913 K(x,(K(y,z) * u) * w) = K(x,u * (w * K(y,z))). [para(6403(a,1),10905(a,1,2)),flip(a)]. given #10372 (H,wt=19): 10926 T(K(x,K(y,z)) * u,w) = T(u,w) * K(x,K(y,z)). [para(10918(a,1),10627(a,1,1,1))]. given #10373 (H,wt=19): 10939 (K(x,y) * z) * K(x,K(y,u)) = K(x,T(y,u)) * z. [hyper(58,a,5805,a(flip),b,10893,a),flip(a)]. given #10374 (H,wt=19): 10957 (x * K(y,K(z,u))) * w = x * (w * K(y,K(z,u))). [para(10893(a,1),10891(a,1,1))]. given #10375 (H,wt=19): 10959 K(x,K(y,z)) * (u * w) = u * (w * K(x,K(y,z))). [para(10893(a,1),10901(a,2,2))]. given #10376 (H,wt=19): 10960 x \ (K(y,K(z,u)) * w) = (x \ w) * K(y,K(z,u)). [hyper(272,a,10893,a(flip),b,10902,a),flip(a)]. given #10377 (H,wt=19): 10963 T(x * K(y,K(z,u)),w) = T(x,w) * K(y,K(z,u)). [para(10893(a,1),10926(a,1,1))]. given #10378 (H,wt=19): 10964 (x * y) * K(z,K(u,w)) = x * (y * K(z,K(u,w))). [hyper(10898,a,10959,a)]. given #10379 (H,wt=10): 10968 L(x,y,K(z,K(u,w))) = x. [hyper(10762,a,10964,a)]. given #10380 (H,wt=10): 10970 a(K(x,y),z,K(u,w)) = 1. [hyper(10752,a,10968,a)]. given #10381 (H,wt=10): 10972 T(x,a(K(y,z),u,w)) = x. [hyper(10703,a,10968,a)]. given #10382 (H,wt=10): 10975 T(x,a(y,z,K(u,w))) = x. [hyper(215,a,10835,a(flip),b,10968,a(flip))]. given #10383 (H,wt=10): 10978 a(x,K(y,z),K(u,w)) = 1. [hyper(58,a,10678,a(flip),b,10970,a)]. given #10384 (H,wt=10): 10980 T(x,K(y,a(z,u,w))) = x. [para(10570(a,1),10972(a,1,2))]. given #10385 (H,wt=10): 10981 T(x,K(a(y,z,u),w)) = x. [para(10575(a,1),10972(a,1,2))]. given #10386 (H,wt=12): 10974 T(x,L(y,z,K(u,w))) = T(x,y). [hyper(58,a,10726,a(flip),b,10968,a)]. given #10387 (H,wt=12): 10979 L(K(x,y),z,K(u,w)) = K(x,y). [hyper(47,a,10970,a)]. given #10388 (H,wt=12): 10984 L(K(x,y),K(z,u),w) = K(x,y). [hyper(47,a,10978,a)]. given #10389 (H,wt=12): 10997 K(x,L(y,z,K(u,w))) = K(x,y). [hyper(58,a,8229,a(flip),b,10979,a)]. given #10390 (H,wt=12): 11001 K(x,L(y,K(z,u),w)) = K(x,y). [hyper(58,a,8229,a(flip),b,10984,a)]. given #10391 (H,wt=13): 10971 L(x,y,T(z,K(u,w))) = L(x,y,z). [hyper(10735,a,10968,a)]. given #10392 (H,wt=13): 10976 L(x,y,K(z,K(u,w))) != v5 | x = v5. [para(10968(a,1),45(a,2))]. given #10393 (H,wt=13): 10983 T(x,a(y,z,K(u,w))) != v5 | x = v5. [para(10975(a,1),44(a,2))]. given #10394 (H,wt=13): 10986 T(x,K(y,a(z,u,w))) != v5 | x = v5. [para(10980(a,1),44(a,2))]. given #10395 (H,wt=13): 10989 T(a(x,y,z),K(u,w)) = a(x,y,z). [hyper(5762,a,10981,a)]. given #10396 (H,wt=14): 10969 K(x,K(y,L(z,u,w))) = K(x,K(y,z)). [hyper(7958,a,10964,a)]. given #10397 (H,wt=14): 10995 T(x,T(y,L(z,u,w))) = T(x,T(y,z)). [para(10702(a,1),10974(a,1,2))]. given #10398 (H,wt=14): 11009 K(x,T(y,L(z,u,w))) = K(x,T(y,z)). [para(10702(a,1),10997(a,1,2))]. given #10399 (H,wt=15): 10990 T(x,T(y,a(z,u,w))) != v5 | T(x,y) = v5. [para(10981(a,1),5490(a,1))]. given #10400 (H,wt=15): 11007 K(x,L(y,z,T(u,w))) = K(x,L(y,z,u)). [para(7022(a,1),10997(a,1,2))]. given #10401 (H,wt=15): 11011 L(x,y,T(z,T(u,w))) = L(x,y,T(z,u)). [para(5485(a,1),10971(a,1,3))]. given #10402 (H,wt=15): 11016 T(a(x,y,z),T(u,w)) = T(a(x,y,z),u). [para(10989(a,1),5486(a,1,1)),flip(a)]. given #10403 (H,wt=16): 11013 L(x,y,T(z,K(u,w))) != v5 | L(x,y,z) = v5. [para(7022(a,1),10976(a,1))]. given #10404 (H,wt=16): 11015 T(a(x,y,z),K(u,w)) != v5 | a(x,y,z) = v5. [para(10989(a,1),2810(a,1,1))]. given #10405 (H,wt=16): 11018 T(x,K(y,R(z,u,w))) = K(y,K(x,z)) * x. [para(10969(a,1),10610(a,1,1)),flip(a)]. given #10406 (H,wt=14): 11027 T(x,K(y,R(z,u,w))) = T(x,K(y,z)). [hyper(272,a,5521,a(flip),b,11018,a),flip(a)]. given #10407 (H,wt=14): 11029 T(x,K(y,L(z,u,w))) = T(x,K(y,z)). [para(10604(a,1),11027(a,1,2))]. given #10408 (H,wt=17): 10973 a(x,y,K(z,u)) * w = w * a(x,y,K(z,u)). [hyper(58,a,10835,a(flip),b,10968,a),flip(a)]. given #10409 (H,wt=17): 10982 x / a(y,z,K(u,w)) = a(y,z,K(u,w)) * x. [hyper(58,a,7953,a(flip),b,10975,a),flip(a)]. given #10410 (H,wt=17): 10985 T(x,a(y,z,u) * w) = T(x,w * a(y,z,u)). [hyper(6110,a,10980,a)]. given #10411 (H,wt=17): 11014 T(T(a(x,y,z),u),K(w,v5)) = T(a(x,y,z),u). [para(10989(a,1),18(a,1,1)),flip(a)]. given #10412 (H,wt=18): 10987 T(x,a(y,z,u)) != w | T(x,T(a(y,z,u),v5)) = w. [para(10980(a,1),5497(a,1))]. given #10413 (H,wt=15): 11034 T(x,T(a(y,z,u),w)) = L(x,u,K(y,z)). [hyper(10987,a,10711,a(flip))]. given #10414 (H,wt=18): 11033 T(a(x,y,z),T(u,w)) != v5 | T(a(x,y,z),u) = v5. [para(11014(a,1),5490(a,1))]. given #10415 (H,wt=19): 10965 (K(x,K(y,z)) * u) * w = K(x,K(y,z)) * (u * w). [hyper(272,a,10891,a,b,10959,a)]. given #10416 (H,wt=19): 10966 (x \ K(y,z)) * K(y,K(u,z)) = x \ K(y,T(z,u)). [para(5514(a,1),10960(a,1,2)),flip(a)]. given #10417 (H,wt=19): 10992 L(x,y,K(z,u)) * T(w,x) = w * L(x,y,K(z,u)). [hyper(114,a,10974,a(flip),b,17,a(flip))]. given #10418 (H,wt=19): 10993 T(x,(K(y,z) * u) \ (K(y,z) * w)) = T(x,u \ w). [para(89(a,1),10974(a,1,2))]. given #10419 (H,wt=19): 10994 T(x,y) * L(y,z,K(u,w)) = L(y,z,K(u,w)) * x. [para(10974(a,1),2778(a,1,1))]. given #10420 (H,wt=19): 10999 (K(x,y) * (z * K(u,w))) / K(u,w) = K(x,y) * z. [para(10979(a,1),169(a,1,2))]. given #10421 (H,wt=19): 11010 K(x,(y * K(z,u)) \ w) = K(x,K(u,z) * (y \ w)). [para(3902(a,1),11001(a,1,2))]. given #10422 (H,wt=19): 11012 L(x,y,z * (u * K(z,w))) = L(x,y,T(z,w) * u). [para(6588(a,1),10971(a,1,3))]. given #10423 (H,wt=19): 11025 T(a(T(x,y) \ 1,z,u),x) = a(T(x,y) \ 1,z,u). [hyper(2865,a,11016,a),flip(a)]. given #10424 (H,wt=19): 11036 T(x,(y \ K(z,u)) * (K(z,u) * w)) = T(x,y \ w). [hyper(58,a,6026,a(flip),b,10993,a)]. given #10425 (H,wt=19): 11037 (K(x,y) * (z * K(u,w))) * K(u,w) = K(x,y) * z. [hyper(3929,a,10999,a)]. given #10426 (H,wt=19): 11038 K(x,(y * K(z,u)) \ w) = K(x,(y \ w) * K(z,u)). [hyper(272,a,10936,a(flip),b,11010,a),flip(a)]. given #10427 (H,wt=19): 11042 T(x,y \ (K(z,u) * w)) = T(x,(y \ K(z,u)) * w). [para(3893(a,1),11036(a,1,2,2)),flip(a)]. given #10428 (H,wt=19): 11043 K(x,y) * ((K(x,y) * K(z,u)) * w) = K(z,u) * w. [hyper(6406,a,11037,a)]. given #10429 (H,wt=19): 11046 K(x,y) * (K(x,T(y,z)) * u) = K(x,K(y,z)) * u. [para(5516(a,1),11043(a,1,2,1))]. given #10430 (H,wt=20): 10930 T(x,y * (z * K(y,u))) != w | T(x,T(y,u) * z) = w. [para(6588(a,1),10904(a,1,2))]. given #10431 (H,wt=20): 10940 K(x,K(y,z)) * (u * x) != w | u * T(x,K(y,z)) = w. [para(10893(a,2),3692(a,1))]. given #10432 (H,wt=20): 10951 T(T(x,y),K(z,u)) != w | T(x,y) * K(x,K(z,u)) = w. [para(10920(a,1),10898(a,1))]. given #10433 (H,wt=20): 10988 T(x,y * a(z,u,w)) != v5 | T(x,a(z,u,w) * y) = v5. [para(10980(a,1),6110(a,1))]. given #10434 (H,wt=20): 10991 T(x,a(y,z,u) * w) != v5 | T(x,w * a(y,z,u)) = v5. [para(10981(a,1),6110(a,1))]. given #10435 (H,wt=20): 11017 T(a(x,y,z),u * w) != v5 | T(a(x,y,z),w * u) = v5. [para(10989(a,1),6146(a,1,1))]. given #10436 (H,wt=20): 11021 T(x,T((y * z) * u,y)) = T(x,(z * u) * R(y,z,u)). [hyper(58,a,10618,a(flip),b,10995,a),flip(a)]. given #10437 (H,wt=20): 11022 T(x,T(y * (z * u),u)) = T(x,L(u,z,y) * (y * z)). [hyper(58,a,6030,a(flip),b,10995,a),flip(a)]. given #10438 (H,wt=20): 11026 L(x,y,T(z,u * w)) != v5 | L(x,y,T(z,w * u)) = v5. [para(6034(a,1),11013(a,1,3))]. given #10439 (H,wt=20): 11047 T(x,y * (z * K(u,y))) != w | T(x,T(y,u) * z) = w. [para(28(a,1),10930(a,1,2,2,2))]. given #10440 (H,wt=21): 10934 T(x,(y \ (y \ z)) * K(y,u)) = T(x,y \ (T(y,u) \ z)). [para(3945(a,1),10883(a,1,2)),flip(a)]. given #10441 (H,wt=19): 11052 T(x,T(y,z) \ (y \ u)) = T(x,y \ (T(y,z) \ u)). [hyper(58,a,10933,a(flip),b,10934,a)]. given #10442 (H,wt=21): 10944 K(x,T(y,z)) * T(T(x,y),u) = T(T(x,T(u,y)),K(y,z)). [hyper(58,a,5839,a(flip),b,10920,a)]. given #10443 (H,wt=21): 10962 K(x,(1 / y) * (z * K(u,w))) = K(x,(K(u,w) / y) * z). [para(5580(a,1),10913(a,1,2,1)),flip(a)]. given #10444 (H,wt=19): 11054 K(x,y \ (z * K(u,w))) = K(x,(K(u,w) / y) * z). [hyper(58,a,5967,a(flip),b,10962,a)]. given #10445 (H,wt=21): 11040 L(x,y,T(z,u) * (w / z)) = L(x,y,z * (w / T(z,u))). [para(3987(a,1),11012(a,1,3,2)),flip(a)]. given #10446 (H,wt=21): 11041 (x \ L(T(x,y),z,u)) * K(x,y) = a(T(x,y) \ 1,u,z). [hyper(58,a,4306,a,b,11025,a)]. given #10447 (H,wt=21): 11045 T(x,y \ ((z \ K(u,w)) \ 1)) = T(x,(y \ K(u,w)) * z). [hyper(58,a,5785,a,b,11042,a)]. given #10448 (H,wt=21): 11055 L(x,y,K(z,u) * T(w,z)) = L(x,y,z * (w / T(z,u))). [hyper(58,a,9041,a,b,11040,a)]. given #10449 (H,wt=22): 10876 K(x,y) * ((x * x) \ z) != u | (1 / x) * (T(x,y) \ z) = u. [para(10868(a,1),4257(a,1))]. given #10450 (H,wt=22): 10877 R(T(x,y * K(z,u)),y,K(z,u)) = T(y \ (x * y),K(z,u)). [hyper(810,a,10870,a)]. given #10451 (H,wt=20): 11056 R(T(x,y * K(z,u)),y,K(z,u)) = T(T(x,y),K(z,u)). [para(17(a,2),10877(a,2,1))]. given #10452 (H,wt=20): 11057 L(T(x,y * K(z,u)),y,K(z,u)) = T(T(x,y),K(z,u)). [hyper(58,a,10698,a(flip),b,11056,a)]. given #10453 (H,wt=20): 11060 L(T(x,K(y,z) * u),u,K(y,z)) = T(T(x,u),K(y,z)). [para(10883(a,2),11057(a,1,1))]. given #10454 (H,wt=22): 10900 x * (y * K(z,K(u,w))) != v5 | (K(z,K(u,w)) * x) * y = v5. [para(10884(a,1),6404(a,1)),flip(a)]. given #10455 (H,wt=22): 10929 T(x,y * (z * K(u,w))) != v5 | T(x,(K(u,w) * y) * z) = v5. [para(6403(a,1),10904(a,1,2))]. given #10456 (H,wt=22): 10955 T((x * K(y,z)) \ u,K(y,z)) = x \ (u * L(K(y,z),w,w)). [para(5576(a,2),10881(a,2,2,2))]. given #10457 (H,wt=22): 11039 K(x,(y * K(z,u)) \ w) != v5 | K(x,(y \ w) * K(z,u)) = v5. [para(11010(a,2),10952(a,1))]. given #10458 (H,wt=22): 11044 K(x,(y * K(z,u)) \ w) != v5 | K(x,K(u,z) * (y \ w)) = v5. [para(11038(a,2),10938(a,1))]. given #10459 (H,wt=23): 10872 (x * K(y,z)) * (y * T(u,T(y,z))) = (x * (u * y)) * K(y,z). [para(4551(a,1),10857(a,1,2))]. given #10460 (H,wt=23): 10941 K(x,T(y,z * u)) * ((u * z) \ w) = (u * z) \ (K(x,y) * w). [para(10911(a,1),10867(a,1,1))]. given #10461 (H,wt=23): 10961 x \ (y * (K(z,K(u,w)) * v5)) = K(z,K(u,w)) * (x \ (y * v5)). [para(10901(a,1),10902(a,1,2))]. given #10462 (H,wt=23): 10967 T(x * K(y,K(z,u)),w) / K(y,z) = T(x,w) / T(K(y,z),u). [para(10963(a,2),5513(a,1,1))]. given #10463 (H,wt=23): 11024 K(x,L(y,z,K(u,w) * T(v5,u))) = K(x,L(y,z,K(u,w) * v5)). [para(5463(a,1),11007(a,1,2,3))]. given #10464 (H,wt=23): 11032 T(T(a(x,y,z),T(u,w \ 1)),K(v5,v6)) = T(a(x,y,z),T(u,w)). [hyper(272,a,5985,a(flip),b,11014,a),flip(a)]. given #10465 (H,wt=23): 11035 K(x,K(y,z)) * ((K(x,y) * u) * w) = (K(x,T(y,z)) * u) * w. [para(5805(a,1),10965(a,1,1)),flip(a)]. given #10466 (H,wt=23): 11064 (T(x,y) \ (x * z)) * (x * z) = (T(z,x) * (z * x)) * K(x,y). [hyper(58,a,7493,a(flip),b,10872,a)]. given #10467 (H,wt=23): 11066 K(x,L(y,z,u * (w / T(u,v5)))) = K(x,L(y,z,K(u,v5) * w)). [para(11055(a,1),11024(a,1,2))]. given #10468 (H,wt=23): 11069 (T(x,y) \ (x * z)) * (x * z) = (z * (T(z,x) * x)) * K(x,y). [para(1000(a,1),11064(a,2,1))]. given #10469 (H,wt=21): 11070 (T(x,y) \ (x * z)) * (x * z) = (z * (x * z)) * K(x,y). [para(2778(a,1),11069(a,2,1,2))]. given #10470 (H,wt=21): 11071 (T(x,y) \ (x * z)) * (x * z) = z * (x * (z * K(x,y))). [hyper(272,a,10871,a(flip),b,11070,a),flip(a)]. given #10471 (H,wt=19): 11072 (K(x,y) * z) * (x * z) = z * (x * (z * K(x,y))). [para(3944(a,1),11071(a,1,1))]. given #10472 (H,wt=24): 10849 L(a(x \ 1,y,z) * u,z,K(y,x \ 1)) = u / (L(x,z,y) \ x). [para(28(a,1),10765(a,1,3))]. given #10473 (H,wt=22): 11075 L(a(x \ 1,y,z) * u,z,K(x,y)) = u / (L(x,z,y) \ x). [hyper(58,a,8944,a(flip),b,10849,a)]. given #10474 (H,wt=22): 11076 L((x \ L(x,y,z)) * u,y,K(x,z)) = u / (L(x,y,z) \ x). [para(1181(a,1),11075(a,1,1,1))]. given #10475 (H,wt=22): 11077 L((x \ L(x,y,z)) * u,y,K(x,z)) = u * (x \ L(x,y,z)). [hyper(272,a,10797,a(flip),b,11076,a),flip(a)]. given #10476 (H,wt=22): 11078 L(L(x,y,z) * (x \ u),y,K(x,z)) = u * (x \ L(x,y,z)). [para(8307(a,1),11077(a,1,1))]. given #10477 (H,wt=24): 10850 L(x,y,T(z,L(x,y,z) * u)) \ x = (L(x,y,z) * u) \ (x * u). [hyper(58,a,10773,a(flip),b,10807,a)]. given #10478 (H,wt=24): 10851 L(x,y,T(z,L(x,y,z) * (x \ u))) \ x = T(L(x,y,z) \ x,u). [hyper(58,a,10773,a(flip),b,10837,a)]. given #10479 (H,wt=24): 10863 (x \ K(y,T(z,u))) * L(u,x,x) = x \ ((u * (K(y,z) * x)) / x). [para(10860(a,1),2019(a,1,2,1)),flip(a)]. given #10480 (H,wt=24): 11023 T(x,(y * z) * a(y \ 1,u,w)) != v5 | T(x,L(y,w,u) * z) = v5. [para(10833(a,1),10990(a,1,2))]. given #10481 (H,wt=24): 11051 T(x,T(T(y,z) * (z * u),u)) = T(x,L(u,z,T(y,z)) * (z * y)). [para(2778(a,1),11022(a,2,2,2))]. given #10482 (H,wt=22): 11080 T(x,T(T(y,z) * (z * u),u)) = T(x,L(u,z,y) * (z * y)). [para(8947(a,1),11051(a,2,2,1))]. given #10483 (H,wt=24): 11061 L(T(x,y),K(z,u) * y,K(z,u)) = T(T(x,K(z,u) * y),K(z,u)). [para(3893(a,1),11060(a,1,1,2))]. given #10484 (H,wt=24): 11062 T((x * K(y,z)) \ u,K(y,z)) = (x \ 1) * (L(u,x,x) * K(y,z)). [hyper(272,a,5953,a,b,10955,a),flip(a)]. given #10485 (H,wt=20): 11081 (K(x,y) * (z \ 1)) * L(u,z,z) = (z * K(x,y)) \ u. [hyper(6404,a,11062,a)]. given #10486 (H,wt=24): 11079 (x \ K(y,T(z,u))) * L(u,x,x) = x \ (x * ((x \ u) * K(y,z))). [para(5590(a,1),10863(a,2,2))]. given #10487 (H,wt=23): 11083 (x \ K(y,T(z,u))) * L(u,x,x) != w | (x \ u) * K(y,z) = w. [para(11079(a,2),287(a,1))]. given #10488 (H,wt=25): 10672 ((K(x,y) * z) * u) \ (K(x,L(y,u,z)) * (z * (u * y))) = L(y,u,z). [para(10671(a,1),5739(a,1,1))]. given #10489 (H,wt=22): 11084 ((K(x,y) * z) * u) \ ((K(y,x) * z) * (u * y)) = L(y,u,z). [para(10673(a,1),10672(a,1,2))]. given #10490 (H,wt=22): 11085 ((K(x,y) * z) * u) \ ((K(x,y) * z) * (u * y)) = L(y,u,z). [para(28(a,1),11084(a,1,2,1,1))]. given #10491 (H,wt=13): 11086 L(x,y,K(z,x) * u) = L(x,y,u). [hyper(430,a,11085,a)]. given #10492 (H,wt=19): 11087 a(x,K(y,x \ 1) * z,u) = x * L(x \ 1,u,z). [hyper(114,a,11086,a(flip),b,1184,a(flip)),flip(a)]. given #10493 (H,wt=18): 11090 a(x,K(y,x \ 1) * z,u) != w | a(x,z,u) = w. [para(11087(a,2),1204(a,1))]. given #10494 (H,wt=25): 10786 (1 / (L(T(x,y),z,u) \ x)) * K(x,y) = 1 / (L(x,z,T(u,y)) \ x). [para(10783(a,1),7102(a,2,2))]. given #10495 (H,wt=23): 11091 (1 / (L(T(x,y),z,u) \ x)) * K(x,y) = a(x \ 1,T(u,y),z). [hyper(272,a,2535,a(flip),b,10786,a),flip(a)]. given #10496 (H,wt=21): 11092 (x \ L(T(x,y),z,u)) * K(x,y) = a(x \ 1,T(u,y),z). [para(6468(a,1),11091(a,1,1))]. given #10497 (H,wt=17): 11093 a(T(x,y) \ 1,z,u) = a(x \ 1,T(z,y),u). [hyper(58,a,11041,a(flip),b,11092,a)]. given #10498 (H,wt=17): 11094 a((1 / x) \ 1,T(y,z),u) = a(T(x,z),y,u). [hyper(58,a,9590,a(flip),b,11093,a),flip(a)]. given #10499 (H,wt=13): 11095 a(T(x,y),z,u) = a(x,T(z,y),u). [para(74(a,1),11094(a,1,1)),flip(a)]. given #10500 (H,wt=15): 11096 a((x \ y) \ y,z,u) = a(x,T(z,y),u). [hyper(58,a,9591,a,b,11095,a)]. given #10501 (H,wt=15): 11097 a(x,T(y,x * z),u) = a(T(x,z),y,u). [hyper(58,a,9588,a(flip),b,11095,a),flip(a)]. given #10502 (H,wt=15): 11100 a(x * (y / x),z,u) = a(y,T(z,x),u). [hyper(58,a,10519,a(flip),b,11096,a)]. given #10503 (H,wt=15): 11101 a(x,T(y,x * z),u) = a(x,T(y,z),u). [hyper(272,a,11095,a(flip),b,11097,a),flip(a)]. given #10504 (H,wt=15): 11102 a(x * y,T(z,y),u) = a(y * x,z,u). [para(6(a,1),11100(a,1,1,2)),flip(a)]. given #10505 (H,wt=25): 10862 K(x,T(y,z * u)) * T(u,z \ 1) = (z * u) * (K(x,y) * (z \ 1)). [para(378(a,1),10860(a,1,2))]. given #10506 (H,wt=25): 10864 K(x,T(y,(z * z) \ u)) * (u / z) = ((z * z) \ u) * (K(x,y) * z). [para(3250(a,1),10860(a,1,2))]. given #10507 (H,wt=25): 10879 (x * y) * (z * ((x * y) * K(x,y))) = ((1 / (x * y)) \ z) * (y * x). [hyper(58,a,8078,a(flip),b,10871,a),flip(a)]. given #10508 (H,wt=23): 11104 ((1 / (x * y)) \ z) * (y * x) = (x * y) * (z * (x * T(y,x))). [para(3659(a,1),10879(a,1,2,2)),flip(a)]. given #10509 (H,wt=21): 11105 ((1 / (x * y)) \ z) * (y * x) = (x * y) * (z * (y * x)). [para(98(a,1),11104(a,2,2,2))]. given #10510 (H,wt=19): 11106 (x * y) * (x * (y * x)) = x * (x * ((y * x) * y)). [hyper(58,a,7216,a(flip),b,11105,a),flip(a)]. given #10511 (H,wt=25): 11098 K(x,x \ y) * L((x \ y) \ y,z,u) = x * a(x \ 1,T(u,y),z). [para(11095(a,1),7058(a,2,2))]. given #10512 (H,wt=21): 11108 K(x,x \ y) * L((x \ y) \ y,z,u) = L(x,z,T(u,y)). [hyper(272,a,1183,a,b,11098,a),flip(a)]. given #10513 (H,wt=15): 11109 L(x,y,T(z,x \ u)) = L(x,y,T(z,u)). [hyper(58,a,10785,a(flip),b,11108,a)]. given #10514 (H,wt=15): 11110 L(x,y,T(z,x * u)) = L(x,y,T(z,u)). [para(4(a,1),11109(a,1,3,2)),flip(a)]. given #10515 (H,wt=15): 11111 L(x,y,T(z,u * x)) = L(x,y,T(z,u)). [hyper(11026,a,11110,a)]. given #10516 (H,wt=25): 11103 K(x,T(y,z \ (z \ u))) * (u / z) = ((z * z) \ u) * (K(x,y) * z). [para(5980(a,1),10864(a,1,1,2))]. given #10517 (H,wt=26): 10705 ((x * (y * y)) * K(z,u)) / (y * (y * K(z,u))) = L(x,y * y,K(z,u)). [hyper(58,a,5673,a,b,10698,a)]. given #10518 (H,wt=26): 10748 (x * (x * K(y,z))) * L(u,z,K(x * x,y)) = (x * x) * (K(y,z) * u). [para(10745(a,1),5674(a,1,2))]. given #10519 (H,wt=25): 11112 (x * (x * K(y,z))) * L(u,z,a(x,x,y)) = (x * x) * (K(y,z) * u). [para(4211(a,1),10748(a,1,2,3))]. given #10520 (H,wt=19): 11113 (x * (x * K(y,z))) * u = (x * x) * (K(y,z) * u). [para(8401(a,1),11112(a,1,2))]. given #10521 (H,wt=26): 10836 L(a(x,y,z) * u,x,K(y,z)) != a(x,y,z) * w | T(u,a(x,y,z)) = w. [para(10835(a,2),216(a,2)),flip(a)]. given #10522 (H,wt=26): 11048 T(a(x,y,z),u * K(w,v5)) != v6 | T(a(x,y,z),w * (u / T(w,v5))) = v6. [para(3990(a,1),11017(a,1,2))]. given #10523 (H,wt=26): 11059 L(T(x,y * (y * K(z,u))),y * y,K(z,u)) = T(T(x,y * y),K(z,u)). [para(5588(a,1),11057(a,1,1,2))]. given #10524 (H,wt=26): 11063 K(x,(K(y,z) * u) \ w) != v5 | K(x,(T(u,K(y,z)) \ w) * K(y,z)) = v5. [para(2778(a,1),11039(a,1,2,1))]. given #10525 (H,wt=27): 10820 (a(x,y,z) \ (u * (w \ 1))) / (w \ 1) = w \ ((w * (a(x,y,z) \ 1)) * u). [hyper(113,a,10812,a(flip),b,1130,a)]. given #10526 (H,wt=27): 10856 T(1 / x,K(y,z)) * (K(y,z) * (1 / u)) = K(y,z) * (1 / (u / (x \ 1))). [para(4026(a,2),10853(a,2,2))]. given #10527 (H,wt=27): 10865 K(x,T(y,z \ u)) * T(u,z \ 1) = (z \ u) * (K(x,y) * ((z \ 1) \ 1)). [para(2975(a,1),10860(a,1,2))]. given #10528 (H,wt=25): 11115 K(x,T(y,z \ u)) * T(u,z \ 1) = (z \ u) * ((z \ K(x,y)) \ 1). [para(4103(a,1),10865(a,2,2))]. given #10529 (H,wt=27): 10869 T(x,y * (z \ (K(u,w) * (v5 \ 1)))) = T(x,y * (K(u,T(w,z)) / (v5 * z))). [para(10867(a,1),9702(a,1,2,2))]. given #10530 (H,wt=25): 11116 T(x,y * (K(z,T(u,w)) / (v5 * w))) = T(x,y * (w \ (K(z,u) / v5))). [hyper(58,a,8711,a(flip),b,10869,a),flip(a)]. given #10531 (H,wt=27): 10924 T(K(x,y) * z,u) * K(y,T(x,w)) = K(y,T(x,w)) * T(z * K(x,y),u). [para(10909(a,1),7792(a,1,2))]. given #10532 (H,wt=27): 10935 T(x,K(y,z \ 1) * (u * (z \ (1 / z)))) = T(x,(u / z) * T(1 / z,y)). [para(6412(a,1),10883(a,2,2))]. given #10533 (H,wt=25): 11118 T(x,K(y,z \ 1) * (u / (z * z))) = T(x,(u / z) * T(1 / z,y)). [hyper(58,a,9701,a(flip),b,10935,a)]. given #10534 (H,wt=25): 11119 T(x,K(y,z \ 1) * (z \ (z \ u))) = T(x,(u / z) * T(1 / z,y)). [para(3009(a,1),11118(a,1,2,2))]. given #10535 (H,wt=23): 11120 T(x,T(y,z * y) \ (y \ u)) = T(x,(u / y) * T(1 / y,z)). [para(3951(a,1),11119(a,1,2))]. given #10536 (H,wt=23): 11121 T(x,y \ (T(y,z * y) \ u)) = T(x,(u / y) * T(1 / y,z)). [hyper(58,a,11052,a(flip),b,11120,a)]. given #10537 (H,wt=21): 11122 T(x,(y / z) * T(1 / z,u)) = T(x,z \ (T(z,u) \ y)). [hyper(58,a,8653,a(flip),b,11121,a),flip(a)]. given #10538 (H,wt=27): 11065 T(K(x,T(y,z)) * u,w) / K(x,y) = T(K(x,y) * u,w) / T(K(x,y),z). [para(10939(a,1),10967(a,1,1,1))]. given #10539 (H,wt=27): 11114 (1 / T(x,K(y,z))) * (K(y,z) * (1 / u)) = K(y,z) * (1 / (u / (x \ 1))). [para(5562(a,2),10856(a,1,1))]. given #10540 (H,wt=25): 11124 (1 / T(x,K(y,z))) * (K(y,z) / u) = K(y,z) * (1 / (u / (x \ 1))). [para(5580(a,1),11114(a,1,2))]. given #10541 (H,wt=23): 11125 (1 / T(x,K(y,z))) * (K(y,z) / u) = K(y,z) / (u / (x \ 1)). [hyper(272,a,5580,a(flip),b,11124,a),flip(a)]. given #10542 (H,wt=27): 11123 T(K(x,y) * z,u) / T(K(x,y),w) = T(K(x,T(y,w)) * z,u) * K(y,x). [hyper(3916,a,11065,a),flip(a)]. given #10543 (H,wt=27): 11126 T(K(x,y) * z,u) / K(x,T(y,w)) = T(K(x,T(y,w)) * z,u) * K(y,x). [para(5238(a,2),11123(a,1,2))]. given #10544 (H,wt=27): 11127 T(K(x,T(y,z)) * u,w) * K(y,x) = T(K(x,y) * u,w) * K(y,T(x,z)). [hyper(5280,a,11126,a),flip(a)]. given #10545 (H,wt=28): 10540 L(x,y,z * ((L(u,u,w) \ v5) * v6)) = L(x,y,z * ((((w * u) \ w) * v5) * v6)). [para(5080(a,1),10539(a,1,3,2,1,1)),flip(a)]. given #10546 (H,wt=25): 11129 L(x,y,z * ((((u * w) \ u) * v5) * v6)) = L(x,y,z * ((w \ v5) * v6)). [hyper(58,a,10475,a(flip),b,10540,a),flip(a)]. given #10547 (H,wt=25): 11131 L(x,y,z * (((u \ w) \ v5) * v6)) = L(x,y,z * (((w \ u) * v5) * v6)). [para(5(a,1),11129(a,1,3,2,1,1,1)),flip(a)]. given #10548 (H,wt=28): 10619 T(x,y * T((z * u) * w,L(z,u,w))) = T(x,y * ((T(z,u * w) * u) * w)). [para(10615(a,1),9500(a,1,2,2))]. given #10549 (H,wt=28): 10954 T(L(T(x,K(y,z)),K(y,z),u),K(y,z)) = u \ ((u * (x * K(y,z))) * K(y,z)). [para(211(a,1),10881(a,1,1))]. given #10550 (H,wt=28): 10956 T((x * a(y,z,K(u,w))) \ v5,K(u,a(y,z,w))) = x \ (v5 * K(u,a(y,z,w))). [para(10274(a,2),10881(a,1,1,1,2))]. given #10551 (H,wt=21): 11134 (x * a(y,z,K(u,w))) \ v5 = x \ (v5 * K(u,a(y,z,w))). [hyper(10986,a,10956,a)]. given #10552 (H,wt=21): 11136 (x * a(y,z,K(u,w))) \ v5 = x \ (v5 * a(y,z,K(u,w))). [para(10274(a,2),11134(a,2,2,2))]. given #10553 (H,wt=21): 11137 (a(x,y,K(z,u)) * w) \ v5 = w \ (v5 * a(x,y,K(z,u))). [para(10973(a,2),11136(a,1,1))]. given #10554 (H,wt=28): 11133 T(L(T(x,K(y,z)),z,K(u,y)),K(y,z)) = u \ ((u * (x * K(y,z))) * K(y,z)). [para(10745(a,1),10954(a,1,1))]. given #10555 (H,wt=28): 11138 T(L(T(x,K(y,z)),z,K(y,u)),K(y,z)) = u \ ((u * (x * K(y,z))) * K(y,z)). [para(28(a,1),11133(a,1,1,3))]. given #10556 (H,wt=28): 11139 L(T(T(x,K(y,z)),K(y,z)),z,K(y,u)) = u \ ((u * (x * K(y,z))) * K(y,z)). [hyper(58,a,103,a,b,11138,a)]. given #10557 (H,wt=20): 11140 x \ ((x * (y * K(z,u))) * K(z,u)) = L(y,u,K(z,x)). [para(2765(a,1),11139(a,1,1)),flip(a)]. given #10558 (H,wt=20): 11141 x \ (K(y,z) * ((K(y,z) * x) * u)) = L(u,z,K(y,x)). [para(6405(a,1),11140(a,1,2))]. given #10559 (H,wt=17): 11142 L(x,K(y,z) * u,K(y,z)) = L(x,z,K(y,u)). [hyper(3910,a,11141,a)]. given #10560 (H,wt=20): 11143 T(T(x,K(y,z) * u),K(y,z)) = L(T(x,u),z,K(y,u)). [hyper(58,a,11061,a(flip),b,11142,a)]. given #10561 (H,wt=18): 11144 T(T(x,K(y,z) * u),K(y,z)) = T(x,L(u,z,y)). [hyper(272,a,10702,a(flip),b,11143,a),flip(a)]. given #10562 (H,wt=18): 11145 T(T(x,K(y,z)),K(y,z) * u) = T(x,L(u,z,y)). [hyper(354,a,11144,a)]. given #10563 (H,wt=29): 10438 L(x \ 1,x \ 1,y) * (x / (x \ 1)) = x * ((1 / x) / L(x \ 1,x \ 1,y)). [hyper(272,a,4639,a(flip),b,10408,a),flip(a)]. given #10564 (H,wt=27): 11146 x * ((1 / x) / L(x \ 1,x \ 1,y)) = (L(x,x,y) \ 1) * (x / (x \ 1)). [para(5085(a,1),10438(a,1,1)),flip(a)]. given #10565 (H,wt=27): 11147 x * ((1 / x) / L(x \ 1,x \ 1,y)) = (L(x,x,y) \ 1) * ((1 / x) \ x). [para(2914(a,1),11146(a,2,2))]. given #10566 (H,wt=25): 11148 x * ((1 / x) / L(x \ 1,x \ 1,y)) = L(x,x,y) \ ((1 / x) \ x). [hyper(272,a,5183,a(flip),b,11147,a),flip(a)]. given #10567 (H,wt=23): 11150 x * ((1 / x) / (L(x,x,y) \ 1)) = L(x,x,y) \ ((1 / x) \ x). [para(5085(a,1),11148(a,1,2,2))]. given #10568 (H,wt=21): 11151 L(x,x,y) \ ((1 / x) \ x) = x * ((x \ 1) * L(x,x,y)). [para(7155(a,1),11150(a,1,2)),flip(a)]. given #10569 (H,wt=21): 11152 L(x,x,y) \ ((1 / x) \ x) = x * (x * (1 / L(x,x,y))). [para(10437(a,1),11151(a,2,2))]. given #10570 (H,wt=19): 11153 L(x,x,y) \ ((1 / x) \ x) = x * a(x,x,x * y). [para(10507(a,1),11152(a,2,2))]. given #10571 (H,wt=17): 11154 L(x,x,y) \ ((1 / x) \ x) = L(x,x,x * y). [hyper(272,a,10359,a(flip),b,11153,a),flip(a)]. given #10572 (H,wt=20): 11155 L(x,x,y) \ ((1 / x) \ x) != z | L(x,x,x * y) = z. [para(11153(a,2),10377(a,1))]. given #10573 (H,wt=25): 11149 (x \ 1) * (x / L(x \ 1,x \ 1,y)) = L(x,x,y) \ ((1 / x) \ x). [hyper(58,a,4639,a,b,11148,a)]. given #10574 (H,wt=21): 11156 (x \ 1) * (x / L(x \ 1,x \ 1,y)) = L(x,x,x * y). [hyper(272,a,11154,a(flip),b,11149,a),flip(a)]. given #10575 (H,wt=19): 11157 (x \ 1) * (x / (L(x,x,y) \ 1)) = L(x,x,x * y). [para(5085(a,1),11156(a,1,2,2))]. given #10576 (H,wt=29): 10520 L((x \ y) \ 1,(x \ y) \ 1,x) \ 1 = a(x \ y,x \ y,y) / ((x \ y) \ 1). [para(8361(a,1),10516(a,2,1))]. given #10577 (H,wt=29): 10690 K(x,T((y * ((y * z) \ y)) \ u,(y * z) \ y)) = K(x,(y * (u / y)) / (z \ y)). [para(3299(a,1),10689(a,2,2,2))]. given #10578 (H,wt=27): 11159 K(x,T((y * ((y * z) \ y)) \ u,z \ 1)) = K(x,(y * (u / y)) / (z \ y)). [para(4464(a,1),10690(a,1,2))]. given #10579 (H,wt=25): 11160 K(x,T((y * ((y * z) \ y)) \ u,z)) = K(x,(y * (u / y)) / (z \ y)). [hyper(58,a,5971,a(flip),b,11159,a)]. given #10580 (H,wt=25): 11162 K(x,T((y * ((y * z) \ y)) \ u,z)) = K(x,(y * (u / y)) * (y \ z)). [hyper(272,a,8625,a(flip),b,11160,a),flip(a)]. given #10581 (H,wt=23): 11163 K(x,T((y * ((y * z) \ y)) \ u,z)) = K(x,T(u,y) * (y \ z)). [hyper(272,a,8554,a(flip),b,11162,a),flip(a)]. given #10582 (H,wt=23): 11164 K(x,T(((y \ (y * z)) / y) * u,z)) = K(x,T(u,y) * (y \ z)). [hyper(9829,a,11163,a)]. given #10583 (H,wt=19): 11165 K(x,T((y / z) * u,y)) = K(x,T(u,z) * (z \ y)). [para(4(a,1),11164(a,1,2,1,1,1))]. given #10584 (H,wt=21): 11166 K(x,T((y / z) / u,y)) = K(x,T(1 / u,z) * (z \ y)). [hyper(58,a,6138,a(flip),b,11165,a)]. given #10585 (H,wt=19): 11169 K(x,T((y / z) / u,y)) = K(x,T(u,z) \ (z \ y)). [hyper(272,a,8611,a(flip),b,11166,a),flip(a)]. given #10586 (H,wt=21): 11167 T(x,T((y / z) * u,y)) = x * K(x,T(u,z) * (z \ y)). [hyper(114,a,11165,a(flip),b,2672,a(flip)),flip(a)]. given #10587 (H,wt=19): 11170 T(x,T((y / z) * u,y)) = T(x,T(u,z) * (z \ y)). [hyper(272,a,2674,a,b,11167,a),flip(a)]. given #10588 (H,wt=21): 11175 T(x,T(y,z \ u) * ((z \ u) \ u)) = T(x,T(z * y,u)). [para(72(a,1),11170(a,1,2,1,1)),flip(a)]. given #10589 (H,wt=21): 11179 T(x,T(y,z \ u) * (u * (z / u))) = T(x,T(z * y,u)). [hyper(58,a,5057,a(flip),b,11175,a)]. given #10590 (H,wt=19): 11180 T(x,T(y,z \ u) * T(z,u)) = T(x,T(z * y,u)). [hyper(8595,a,11179,a)]. given #10591 (H,wt=19): 11181 T(x,T(y * (z * z),u)) = T(x,T(y,u) * (z * z)). [hyper(58,a,10486,a(flip),b,11180,a),flip(a)]. given #10592 (H,wt=19): 11182 T(x,T(y * (z * z),u)) = T(x,z * (z * T(y,u))). [hyper(58,a,10484,a(flip),b,11180,a),flip(a)]. given #10593 (H,wt=19): 11183 T(x,T(y * (y * z),u)) = T(x,y * (y * T(z,u))). [para(2956(a,1),11182(a,1,2,1))]. given #10594 (H,wt=22): 11171 T(x,T((y / z) * u,y)) != w | T(x,T(u,z) * (z \ y)) = w. [para(11167(a,2),2737(a,1))]. given #10595 (H,wt=23): 11172 T(a(x,y,z),T(u,w) * (w \ v5)) = T(a(x,y,z),(v5 / w) * u). [hyper(11033,a,11170,a),flip(a)]. given #10596 (H,wt=23): 11174 T(x,T((y * z) * u,y)) = T(x,T(u,1 / z) * ((1 / z) \ y)). [hyper(58,a,9903,a(flip),b,11170,a)]. given #10597 (H,wt=23): 11185 T(a(x,y,z),(u \ w) * T(v5,u)) = T(a(x,y,z),(w / u) * v5). [hyper(11017,a,11172,a)]. given #10598 (H,wt=25): 11184 T(x,y * (y * T((y * y) \ z,u))) = T(x,T(y * ((y \ 1) * z),u)). [para(3527(a,1),11183(a,1,2,1,2)),flip(a)]. given #10599 (H,wt=22): 11187 T(x,y * (y * T((y * y) \ z,u))) = T(x,T(L(z,y,y),u)). [para(3109(a,1),11184(a,2,2,1))]. given #10600 (H,wt=22): 11188 T(x,y * (y * T((y * y) \ z,u))) = T(x,L(T(z,u),y,y)). [para(20(a,2),11187(a,2,2))]. given #10601 (H,wt=22): 11189 T(x,y * (y * T((y * y) \ z,u))) != w | T(x,T(z,u)) = w. [para(11188(a,2),5977(a,1))]. given #10602 (H,wt=27): 11173 T(x,T(((y / z) * (y / z)) * u,y)) = T(x,T((y / z) * u,z) * (z \ y)). [hyper(58,a,6121,a,b,11170,a)]. given #10603 (H,wt=27): 11176 T(x,T(L((y / z) \ 1,u,w),z) * (z \ y)) = T(x,T(a(y / z,w,u),y)). [para(1178(a,2),11170(a,1,2,1)),flip(a)]. given #10604 (H,wt=25): 11191 T(x,T(L((y / z) \ 1,u,w),z) * (z \ y)) = L(x,u,K(y / z,w)). [hyper(272,a,11034,a(flip),b,11176,a),flip(a)]. given #10605 (H,wt=25): 11193 T(x,T(L((y / z) \ 1,u,w),z) * (z \ y)) = L(x,u,K(w,y / z)). [para(28(a,1),11191(a,2,3))]. given #10606 (H,wt=25): 11194 T(x,L(T((y / z) \ 1,z),u,w) * (z \ y)) = L(x,u,K(w,y / z)). [para(20(a,2),11193(a,1,2,1))]. given #10607 (H,wt=21): 11195 T(x,L(y \ z,u,w) * (z \ y)) = L(x,u,K(w,y / z)). [para(2257(a,1),11194(a,1,2,1,1))]. given #10608 (H,wt=17): 11196 L(x,y,K(z,u / w)) = L(x,y,K(z,w \ u)). [hyper(58,a,10839,a(flip),b,11195,a),flip(a)]. given #10609 (H,wt=23): 11198 L(x,y,K(z,(u * w) / (u \ 1))) = L(x,y,K(z,(u * u) * w)). [para(3523(a,1),11196(a,2,3,2))]. given #10610 (H,wt=21): 11199 L(x,y,K(z,(u * w) * u)) = L(x,y,K(z,(u * u) * w)). [para(6067(a,1),11198(a,1,3))]. given #10611 (H,wt=21): 11200 L(x,y,K(z,(u * u) * w)) = L(x,y,K(z,u * (w * u))). [para(5997(a,1),11199(a,1,3)),flip(a)]. given #10612 (H,wt=21): 11201 L(x,y,K(z,u * (w * u))) = L(x,y,K(z,u * (u * w))). [para(5974(a,1),11200(a,1,3)),flip(a)]. given #10613 (H,wt=27): 11177 T(x,T((y * y) * z,(u * y) * y)) = T(x,T(z,u) * (u \ ((u * y) * y))). [para(3256(a,1),11170(a,1,2,1,1))]. given #10614 (H,wt=27): 11190 T(x,T(((y \ z) * (y \ z)) * u,z)) = T(x,T((z / y) * u,y) * (y \ z)). [para(4115(a,1),11173(a,1,2,1,1))]. given #10615 (H,wt=27): 11202 L(x,y,K(z,u * (u * (w * (v5 / u))))) = L(x,y,K(z,((1 / u) \ w) * v5)). [para(108(a,1),11201(a,1,3,2)),flip(a)]. given #10616 (H,wt=25): 11205 L(x,y,K(z,u * (u * (w * (v5 / u))))) = L(x,y,K(z,(u * w) * v5)). [para(8548(a,1),11202(a,2,3))]. given #10617 (H,wt=27): 11203 T(x,T((y * y) * z,y * (y * u))) = T(x,T(z,u) * (u \ ((u * y) * y))). [para(6015(a,1),11177(a,1,2))]. given #10618 (H,wt=27): 11204 T(x,T((y \ z) * ((y \ z) * u),z)) = T(x,T((z / y) * u,y) * (y \ z)). [hyper(6851,a,11190,a)]. given #10619 (H,wt=27): 11206 T(x,T(y * (y * z),y * (y * u))) = T(x,T(z,u) * (u \ ((u * y) * y))). [hyper(6851,a,11203,a)]. given #10620 (H,wt=25): 11208 T(x,T(y * (y * z),y * (y * u))) = T(x,T(z,u) * T(y * y,u)). [para(3278(a,1),11206(a,2,2,2))]. given #10621 (H,wt=23): 11209 T(x,T(y * (y * z),y * (y * u))) = T(x,y * (y * T(z,u))). [hyper(272,a,10433,a(flip),b,11208,a),flip(a)]. given #10622 (H,wt=23): 11211 T(x,y * (y * T(y \ (y \ z),u))) = T(x,T(z,y * (y * u))). [para(68(a,1),11209(a,1,2,1)),flip(a)]. given #10623 (H,wt=23): 11212 T(x,(y * y) * T((y * y) \ z,u)) = T(x,T(z,y * (y * u))). [para(785(a,2),11211(a,1,2))]. given #10624 (H,wt=23): 11213 T(x,y * (y * T((y * y) \ z,u))) = T(x,T(z,y * (y * u))). [hyper(6103,a,11212,a)]. given #10625 (H,wt=15): 11214 T(x,T(y,z * (z * u))) = T(x,T(y,u)). [hyper(11189,a,11213,a),flip(a)]. given #10626 (H,wt=15): 11219 T(x,T(y,z \ u)) = T(x,T(y,z * u)). [para(5(a,1),11214(a,1,2,2,2)),flip(a)]. given #10627 (H,wt=15): 11220 T(x,T(y,z * (u * u))) = T(x,T(y,z)). [para(2956(a,2),11214(a,1,2,2))]. given #10628 (H,wt=17): 11216 T(T(x,y),T(y,z)) = T(x,K(y,u * (u * z))). [hyper(5494,a,11214,a),flip(a)]. given #10629 (H,wt=15): 11223 T(x,K(y,z * (z * u))) = T(x,K(y,u)). [hyper(5494,a,11216,a),flip(a)]. given #10630 (H,wt=15): 11225 T(x,K(y,z \ u)) = T(x,K(y,z * u)). [para(5(a,1),11223(a,1,2,2,2)),flip(a)]. given #10631 (H,wt=17): 11218 K(x,T(y,z * (z * u))) = x \ T(x,T(y,u)). [hyper(112,a,11214,a(flip),b,2674,a(flip)),flip(a)]. given #10632 (H,wt=15): 11226 K(x,T(y,z * (z * u))) = K(x,T(y,u)). [hyper(272,a,2672,a,b,11218,a),flip(a)]. given #10633 (H,wt=15): 11227 K(x,T(y,z \ u)) = K(x,T(y,z * u)). [para(5(a,1),11226(a,1,2,2,2)),flip(a)]. given #10634 (H,wt=15): 11228 K(x,T(y,z * (u \ z))) = K(x,T(y,u)). [hyper(58,a,10923,a(flip),b,11227,a),flip(a)]. given #10635 (H,wt=18): 11215 T(x,T(y,z * (z * u))) != w | T(x,T(y,u)) = w. [para(11213(a,1),11189(a,1))]. given #10636 (H,wt=18): 11230 T(x,T(y,z * (u * u))) != w | T(x,T(y,z)) = w. [para(2956(a,2),11215(a,1,2,2))]. given #10637 (H,wt=19): 11222 T(x,T(y,z * (u * (w * (u * w))))) = T(x,T(y,z)). [para(9442(a,1),11220(a,1,2))]. given #10638 (H,wt=15): 11231 T(x,T(y,z * (u * z))) = T(x,T(y,u)). [hyper(11215,a,11222,a)]. given #10639 (H,wt=15): 11232 T(x,T(y,z / u)) = T(x,T(y,u * z)). [para(7(a,1),11231(a,1,2,2,2)),flip(a)]. given #10640 (H,wt=19): 11224 T(x,K(y * (y * z),u \ w)) = T(x,K(u / w,z)). [hyper(58,a,10942,a(flip),b,11223,a)]. given #10641 (H,wt=19): 11233 T(x,K(y * (y * z),u \ w)) = T(x,K(z,u / w)). [hyper(272,a,3858,a,b,11224,a),flip(a)]. given #10642 (H,wt=19): 11234 T(x,K(y * (y * z),u \ w)) = T(x,K(z,w \ u)). [hyper(272,a,10917,a(flip),b,11233,a),flip(a)]. given #10643 (H,wt=19): 11235 T(x,K(y * (y * z),u * w)) = T(x,K(z,w \ u)). [hyper(58,a,11225,a(flip),b,11234,a)]. given #10644 (H,wt=19): 11236 T(x,K(y * (y * z),u * w)) = T(x,K(z,w * u)). [hyper(272,a,11225,a(flip),b,11235,a),flip(a)]. given #10645 (H,wt=21): 11221 T(T(x,T(y,z * u)),K(y,w)) = T(x,T(T(y,z \ u),w)). [para(11219(a,1),10945(a,1,1))]. given #10646 (H,wt=19): 11237 T(x,T(T(y,z \ u),w)) = T(x,T(T(y,z * u),w)). [hyper(58,a,10945,a(flip),b,11221,a),flip(a)]. given #10647 (H,wt=25): 11229 K(x,T(y,z * u)) * T(u,z \ 1) = (z \ u) * ((z \ K(x,y)) \ 1). [para(11227(a,1),11115(a,1,1))]. given #10648 (H,wt=23): 11238 (x \ y) * ((x \ K(z,u)) \ 1) = (x * y) * (K(z,u) * (x \ 1)). [hyper(58,a,10862,a(flip),b,11229,a),flip(a)]. given #10649 (H,wt=25): 11239 x * ((x * y) * (K(z,u) * (x \ 1))) = (y * (x * (x * K(z,u)))) / x. [para(11238(a,1),6917(a,1,2))]. given #10650 (H,wt=23): 11240 ((x * (x * y)) * K(z,u)) / x = (y * (x * (x * K(z,u)))) / x. [hyper(1138,a,11239,a)]. given #10651 (H,wt=27): 11207 T(x,T(y * ((z \ u) * (z \ u)),u)) = T(x,T((u / z) * y,z) * (z \ u)). [para(2956(a,2),11204(a,1,2,1))]. given #10652 (H,wt=29): 10875 (x * x) \ (x * (K(y,z * (1 / x)) * u)) = K(y,(1 / x) * z) * ((1 / x) * u). [hyper(272,a,3353,a,b,10866,a)]. given #10653 (H,wt=27): 11242 (x * x) \ (x * (K(y,z * (1 / x)) * u)) = K(y,x \ z) * ((1 / x) * u). [para(5967(a,1),10875(a,2,1))]. given #10654 (H,wt=25): 11243 (x * x) \ (x * (K(y,z / x) * u)) = K(y,x \ z) * ((1 / x) * u). [para(6072(a,1),11242(a,1,2,2,1))]. given #10655 (H,wt=23): 11244 K(x,y \ z) * ((1 / y) * u) = (1 / y) * (K(x,z / y) * u). [hyper(3354,a,11243,a),flip(a)]. given #10656 (H,wt=29): 10947 T(x,K(y,(z * u) * u) * (w * ((u * u) * z))) = T(x,w * T((z * u) * u,y)). [para(3280(a,1),10932(a,1,2,2))]. given #10657 (H,wt=29): 10948 T(x,K(y,T(T(z,u),w)) * T(z,T(w,u))) = T(x,K(z,u) * T(T(T(z,u),w),y)). [para(5429(a,1),10932(a,1,2,2))]. given #10658 (H,wt=29): 11058 L(T(x,(y \ (y \ 1)) * K(z,u)),y \ (y \ 1),K(z,u)) = T(L(x,y,y),K(z,u)). [para(4401(a,1),11057(a,2,1))]. given #10659 (H,wt=27): 11247 L(T(x,(y * y) \ K(z,u)),y \ (y \ 1),K(z,u)) = T(L(x,y,y),K(z,u)). [para(4373(a,1),11058(a,1,1,2))]. given #10660 (H,wt=27): 11248 L(T(x,y \ (y \ K(z,u))),y \ (y \ 1),K(z,u)) = T(L(x,y,y),K(z,u)). [para(5980(a,1),11247(a,1,1))]. given #10661 (H,wt=18): 11249 T(x,y \ (y \ K(z,u))) = T(L(x,y,y),K(z,u)). [hyper(10724,a,11248,a)]. given #10662 (H,wt=18): 11250 T(x,y \ (y \ K(z,u))) = L(T(x,K(z,u)),y,y). [hyper(272,a,20,a,b,11249,a),flip(a)]. given #10663 (H,wt=29): 11073 ((T(x,y) * z) \ x) * (T(x,y) / (x * z)) = (z * (x * (z * K(x,y)))) \ T(x,y). [para(11071(a,1),6968(a,1,1)),flip(a)]. given #10664 (H,wt=29): 11074 ((x * y) \ T(y,z)) * (T(y,z) / (x * y)) = (x * (y * (x * K(y,z)))) \ T(y,z). [para(11072(a,1),9415(a,2,1))]. given #10665 (H,wt=21): 11252 (x * (y * (x * K(y,z)))) \ T(y,z) = (y / x) / (x * y). [hyper(58,a,7593,a(flip),b,11074,a),flip(a)]. given #10666 (H,wt=23): 11254 ((T(x,y) * z) \ x) * (T(x,y) / (x * z)) = (x / z) / (z * x). [hyper(58,a,11073,a,b,11252,a)]. given #10667 (H,wt=23): 11256 ((x * y) \ T(x,z)) * (T(x,z) / (x * y)) = (x / y) / (y * x). [para(5654(a,1),11254(a,1,1))]. given #10668 (H,wt=19): 11257 ((x * y) \ x) * (x / (x * y)) = (x / y) / (y * x). [hyper(58,a,5924,a(flip),b,11256,a)]. given #10669 (H,wt=15): 11258 (x / y) / (y * x) = (x * y) \ (y \ x). [hyper(58,a,5030,a(flip),b,11257,a),flip(a)]. given #10670 (H,wt=15): 11259 (x / y) / (y * x) = y \ (x \ (y \ x)). [hyper(272,a,6841,a(flip),b,11258,a),flip(a)]. given #10671 (H,wt=29): 11099 T(x,T(y,z) * (a(1 / y,T(u,z),w) * v5)) = T(x,L(T(y,y \ z),w,u) * v5). [para(11095(a,1),9499(a,1,2,2,1))]. given #10672 (H,wt=29): 11158 L((x \ y) \ 1,(x \ y) \ 1,x) \ 1 = a(y,x \ y,x \ y) / ((x \ y) \ 1). [para(4244(a,2),10520(a,2,1))]. given #10673 (H,wt=29): 11168 K(x,T(y,T(z,u)) * (T(z,u) \ (u * u))) = K(x,T(((u / z) * u) * y,u * u)). [para(3331(a,1),11165(a,1,2,1,1)),flip(a)]. given #10674 (H,wt=25): 11261 K(x,T(y,T(z,u)) * (T(z,u) \ (u * u))) = K(x,((u / z) * u) * y). [hyper(272,a,5969,a(flip),b,11168,a),flip(a)]. given #10675 (H,wt=25): 11263 K(x,T(y,T(z,u)) * (T(z,u) \ (u * u))) = K(x,(u * (z \ u)) * y). [hyper(272,a,8503,a(flip),b,11261,a),flip(a)]. given #10676 (H,wt=23): 11264 K(x,T(y,T(z,u)) * (u * (z \ u))) = K(x,(u * (z \ u)) * y). [para(3369(a,1),11263(a,1,2,2))]. given #10677 (H,wt=29): 11186 T(x,T((y * L(z,z,u)) * w,y)) = T(x,T(w,1 / z) * ((1 / L(z,z,u)) \ y)). [para(9698(a,1),11174(a,2,2,1))]. given #10678 (H,wt=29): 11246 T(x,K(y,z * (u * u)) * (w * ((u * u) * z))) = T(x,w * T((z * u) * u,y)). [para(6053(a,1),10947(a,1,2,1))]. given #10679 (H,wt=29): 11260 T(x,T(y,z) * (a(y \ 1,T(u,z),w) * v5)) = T(x,L(T(y,y \ z),w,u) * v5). [para(2517(a,1),11099(a,1,2,2,1))]. given #10680 (H,wt=27): 11267 T(x,K(y,z) * (L(y,u,T(w,z)) * v5)) = T(x,L(T(y,y \ z),u,w) * v5). [para(8321(a,1),11260(a,1,2))]. given #10681 (H,wt=29): 11265 T(x,T((y * L(z,z,u)) * w,y)) = T(x,T(w,z \ 1) * ((1 / L(z,z,u)) \ y)). [para(1967(a,1),11186(a,2,2,1))]. given #10682 (H,wt=27): 11268 T(x,T((y * L(z,z,u)) * w,y)) = T(x,T(w,z \ 1) * (L(z,z,u) * y)). [hyper(272,a,8518,a(flip),b,11265,a),flip(a)]. given #10683 (H,wt=24): 11269 T(x,T((y * L(z,z,u)) * w,y)) = T(x,T(w,z \ 1) * (z * y)). [hyper(272,a,10396,a(flip),b,11268,a),flip(a)]. given #10684 (H,wt=22): 11271 T(x,T((y * L(z,z,u)) * w,y)) = T(x,T(w,z) * (z * y)). [hyper(272,a,8474,a(flip),b,11269,a),flip(a)]. given #10685 (H,wt=29): 11266 T(x,K(y,z * (u * u)) * (w * (u * (u * z)))) = T(x,w * T((z * u) * u,y)). [hyper(58,a,8563,a(flip),b,11246,a)]. given #10686 (H,wt=29): 11272 T(x,K(y,z * (u * u)) * (w * (z * (u * u)))) = T(x,w * T((z * u) * u,y)). [para(2956(a,2),11266(a,1,2,2,2))]. given #10687 (H,wt=23): 11273 T(x,y * T((z * u) * u,w)) = T(x,y * T(z * (u * u),w)). [hyper(58,a,10932,a(flip),b,11272,a),flip(a)]. given #10688 (H,wt=30): 10487 ((1 / ((1 / x) \ y)) \ a(x,y \ (x \ 1),y \ (x \ 1))) * x = x / ((y * x) \ 1). [para(10473(a,1),9950(a,1,1,2))]. given #10689 (H,wt=30): 10630 K(x,L((y / z) / (u / (w / v5)),u * (v5 / w),z)) = K(x,y / ((u / (w / v5)) * z)). [para(10007(a,1),10609(a,1,2))]. given #10690 (H,wt=28): 11276 K(x,L((y / z) / (1 / (u / w)),w / u,z)) = K(x,y / ((1 / (u / w)) * z)). [para(2(a,1),10630(a,1,2,2))]. given #10691 (H,wt=28): 11277 K(x,L((y / z) * ((u / w) / 1),w / u,z)) = K(x,y / ((1 / (u / w)) * z)). [hyper(58,a,9776,a(flip),b,11276,a)]. given #10692 (H,wt=26): 11278 K(x,L((y / z) * (u / w),w / u,z)) = K(x,y / ((1 / (u / w)) * z)). [para(70(a,1),11277(a,1,2,1,2))]. given #10693 (H,wt=24): 11279 K(x,L((y / z) * (u / w),w / u,z)) = K(x,y * (z \ (u / w))). [hyper(272,a,9669,a(flip),b,11278,a),flip(a)]. given #10694 (H,wt=30): 10631 K(x,L((y / z) / ((u * w) \ 1),w \ (u \ 1),z)) = K(x,y / (((u * w) \ 1) * z)). [para(10063(a,1),10609(a,1,2))]. given #10695 (H,wt=30): 11067 T(T(a(x,y,z),T(u,w \ 1)),K(v5,v6)) = a(x,y,K(z,w)) * T(T(a(x,y,z),w),u). [hyper(272,a,10290,a,b,11032,a),flip(a)]. given #10696 (H,wt=30): 11241 T(x,T((y / z) * u,z) * (z \ y)) != w | T(x,T(u * (y * (z \ (y / z))),y)) = w. [para(11207(a,1),10129(a,1))]. given #10697 (H,wt=30): 11275 ((1 / ((1 / x) \ y)) \ a(x,(1 \ x) * y,(1 \ x) * y)) * x = x / ((y * x) \ 1). [para(10052(a,1),10487(a,1,1,2))]. given #10698 (H,wt=28): 11282 ((1 / ((1 / x) \ y)) \ a(x,x * y,(1 \ x) * y)) * x = x / ((y * x) \ 1). [para(60(a,1),11275(a,1,1,2,2,1))]. given #10699 (H,wt=26): 11283 ((1 / ((1 / x) \ y)) \ a(x,x * y,x * y)) * x = x / ((y * x) \ 1). [para(60(a,1),11282(a,1,1,2,3,1))]. given #10700 (H,wt=25): 11284 ((1 / ((1 / x) \ y)) \ K(x,y * (x \ y))) * x = x / ((y * x) \ 1). [para(9424(a,1),11283(a,1,1,2))]. given #10701 (H,wt=23): 11285 (((1 / x) \ y) * K(x,y * (x \ y))) * x = x / ((y * x) \ 1). [para(5587(a,1),11284(a,1,1))]. given #10702 (H,wt=21): 11286 T(x * T(y,x * (y \ x)),y) * y = y / ((x * y) \ 1). [para(4715(a,1),11285(a,1,1))]. given #10703 (H,wt=19): 11287 T((x \ y) \ (y * y),x) * x = x / ((y * x) \ 1). [para(8544(a,1),11286(a,1,1,1))]. given #10704 (H,wt=17): 11288 x * ((x \ y) \ (y * y)) = x / ((y * x) \ 1). [hyper(2808,a,11287,a)]. given #10705 (H,wt=31): 10291 a(1 / x,y,K(z,u)) * T(x,a(1 / x,y,z)) = T(a(1 / x,y,z),u) \ L(x,z,y). [para(10282(a,2),4079(a,1,1))]. given #10706 (H,wt=24): 11289 T(a(1 / x,y,z),u) \ L(x,z,y) = a(1 / x,y,K(z,u)) * x. [para(2524(a,1),10291(a,1,2)),flip(a)]. given #10707 (H,wt=20): 11290 T(a(1 / x,y,z),u) \ L(x,z,y) = L(x,K(z,u),y). [hyper(272,a,2522,a,b,11289,a),flip(a)]. given #10708 (H,wt=20): 11291 T(a(1 / x,y,z),u) \ L(x,z,y) = L(x,u,K(y,z)). [hyper(272,a,10745,a(flip),b,11290,a),flip(a)]. given #10709 (H,wt=20): 11292 T(a(x \ 1,y,z),u) \ L(x,z,y) = L(x,u,K(y,z)). [para(2517(a,1),11291(a,1,1,1))]. given #10710 (H,wt=20): 11293 L(x,y,K(z,u)) \ L(x,u,z) = T(L(x,u,z) / x,y). [para(11292(a,1),5444(a,1,1))]. given #10711 (H,wt=20): 11294 L(x,y,K(z,u)) \ L(x,u,z) = T(x \ L(x,u,z),y). [para(2501(a,1),11293(a,2,1))]. given #10712 (H,wt=31): 10299 (a(x,y,z) \ u) * (w / (a(x,y,z) \ u)) = (u \ a(x,y,z)) * (w * (a(x,y,z) \ u)). [para(10262(a,1),3541(a,1,1)),flip(a)]. given #10713 (H,wt=31): 10457 L(x,(y \ z) \ 1,((y \ z) \ 1) \ (z \ (z / y))) = R(x,(z \ 1) \ 1,(y \ z) \ 1). [para(6399(a,1),10451(a,1,3,2))]. given #10714 (H,wt=27): 11295 L(x,(y \ z) \ 1,(y * (z \ y)) \ 1) = R(x,(z \ 1) \ 1,(y \ z) \ 1). [para(7715(a,1),10457(a,1,3))]. given #10715 (H,wt=27): 11296 L(x,(y \ z) \ 1,(z \ y) \ (y \ 1)) = R(x,(z \ 1) \ 1,(y \ z) \ 1). [hyper(58,a,9100,a(flip),b,11295,a)]. given #10716 (H,wt=27): 11297 L(x,(y \ z) \ 1,(y \ z) * (y \ 1)) = R(x,(z \ 1) \ 1,(y \ z) \ 1). [hyper(58,a,9093,a(flip),b,11296,a)]. given #10717 (H,wt=25): 11298 R(x,(y \ 1) \ 1,(z \ y) \ 1) = L(x,(z \ y) \ 1,z \ (y / z)). [para(684(a,1),11297(a,1,3)),flip(a)]. given #10718 (H,wt=23): 11299 R(x,(y \ 1) \ 1,(z \ y) \ 1) = L(x,y \ z,z \ (y / z)). [hyper(272,a,9982,a(flip),b,11298,a),flip(a)]. given #10719 (H,wt=23): 11300 R(x,(y \ 1) \ 1,(z \ y) \ 1) = L(x,y \ z,z \ (z \ y)). [hyper(272,a,9369,a(flip),b,11299,a),flip(a)]. given #10720 (H,wt=31): 10535 L(x,T(1 / y,z) \ 1,((u * T(y,z)) \ 1) / T(y,z)) = R(x,u,T(1 / y,z) \ 1). [para(10233(a,1),10534(a,1,3))]. given #10721 (H,wt=31): 10852 T((x * (K(y,z) * u)) * L(K(z,y),u,x),K(y,L(z,u,x))) = u * T(x,K(y,z) * u). [hyper(58,a,7977,a,b,10846,a)]. given #10722 (H,wt=24): 11302 T(x * T(y,K(z,u)),K(z,L(u,y,x))) = y * T(x,K(z,u) * y). [para(10148(a,1),10852(a,1,1))]. given #10723 (H,wt=21): 11303 x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,K(z,u) * x). [hyper(112,a,11029,a(flip),b,11302,a(flip))]. given #10724 (H,wt=21): 11304 x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,K(u,z) * x). [hyper(272,a,5772,a,b,11303,a),flip(a)]. given #10725 (H,wt=21): 11305 x \ T(y * T(x,K(z,u)),K(u,z)) = T(y,K(u,z) * x). [para(28(a,1),11303(a,1,2,1,2,2))]. given #10726 (H,wt=21): 11308 x \ T(y * x,K(z,K(u,w))) = T(y,K(K(u,w),z) * x). [para(10884(a,1),11304(a,1,2,1,2))]. given #10727 (H,wt=15): 11310 T(x,K(K(y,z),u) * w) = w \ (x * w). [para(10884(a,1),11308(a,1,2)),flip(a)]. given #10728 (H,wt=13): 11311 T(x,K(K(y,z),u) * w) = T(x,w). [hyper(272,a,17,a,b,11310,a),flip(a)]. given #10729 (H,wt=13): 11313 T(x,y * K(z,K(u,w))) = T(x,y). [hyper(10949,a,11311,a)]. given #10730 (H,wt=13): 11314 T(x,K(y,K(z,u)) * w) = T(x,w). [hyper(58,a,5772,a,b,11311,a)]. given #10731 (H,wt=15): 11315 T(x,y * T(z,K(u,w))) = T(x,y * z). [hyper(58,a,10932,a(flip),b,11311,a)]. given #10732 (H,wt=15): 11316 T(x,T(y,K(z,u)) * w) = T(x,y * w). [hyper(58,a,5774,a(flip),b,11311,a)]. given #10733 (H,wt=15): 11317 T(x,y \ T(z,K(u,w))) = T(x,y \ z). [para(4070(a,1),11311(a,1,2)),flip(a)]. given #10734 (H,wt=15): 11318 T(x,T(y,K(z,u)) / w) = T(x,y / w). [para(5621(a,1),11311(a,1,2)),flip(a)]. given #10735 (H,wt=15): 11319 K(x,K(y,K(z,u)) * w) = x \ T(x,w). [para(11311(a,1),5687(a,1,2)),flip(a)]. given #10736 (H,wt=13): 11335 K(x,K(y,K(z,u)) * w) = K(x,w). [hyper(272,a,2672,a,b,11319,a),flip(a)]. given #10737 (H,wt=15): 11337 K(x,y / T(z,K(u,w))) = K(x,y / z). [hyper(58,a,10937,a(flip),b,11335,a)]. given #10738 (H,wt=15): 11338 K(x,y * T(z,K(u,w))) = K(x,y * z). [para(4502(a,1),11335(a,1,2))]. given #10739 (H,wt=15): 11339 K(x,y \ T(z,K(u,w))) = K(x,y \ z). [para(4500(a,1),11335(a,1,2))]. given #10740 (H,wt=16): 11336 K(x,K(y,K(z,u)) * w) != v5 | K(x,w) = v5. [para(11319(a,2),2691(a,1))]. given #10741 (H,wt=17): 11320 T(x,K(y,T(z,u)) * w) = T(x,K(y,z) * w). [para(5254(a,1),11311(a,1,2))]. given #10742 (H,wt=17): 11321 T(x,y * (K(z,K(u,w)) * v5)) = T(x,y * v5). [para(6538(a,1),11311(a,1,2)),flip(a)]. given #10743 (H,wt=17): 11324 T(x,y * (z * K(u,K(w,v5)))) = T(x,y * z). [para(7899(a,1),11313(a,1,2))]. given #10744 (H,wt=17): 11328 T(x,y * T(z,T(u,w))) = T(x,y * T(z,u)). [para(5485(a,1),11315(a,1,2,2))]. given #10745 (H,wt=17): 11332 T(x,y \ T(z,T(u,w))) = T(x,y \ T(z,u)). [para(5485(a,1),11317(a,1,2,2))]. given #10746 (H,wt=17): 11334 T(x,T(y,T(z,u)) / w) = T(x,T(y,z) / w). [para(5485(a,1),11318(a,1,2,1))]. given #10747 (H,wt=17): 11340 K(x,T(y,T(z,u)) * w) = K(x,T(y,z) * w). [para(5908(a,1),11335(a,1,2))]. given #10748 (H,wt=17): 11341 K(x,y * (z * K(u,K(w,v5)))) = K(x,y * z). [para(10959(a,1),11335(a,1,2))]. given #10749 (H,wt=17): 11342 K(x,y / T(z,T(u,w))) = K(x,y / T(z,u)). [para(5485(a,1),11337(a,1,2,2))]. given #10750 (H,wt=17): 11349 T(x,y * K(z,T(u,w))) = T(x,K(z,u) * y). [hyper(10888,a,11320,a)]. given #10751 (H,wt=17): 11357 T(x,T(y,z) / T(z,u)) = T(x,T(z,u) \ y). [hyper(6007,a,11334,a),flip(a)]. given #10752 (H,wt=17): 11360 K(x,(y * K(z,K(u,w))) * v5) = K(x,y * v5). [para(10957(a,2),11341(a,1,2))]. given #10753 (H,wt=18): 11326 L(x,y * K(z,u),y * K(z,u)) = T(x,y * y). [hyper(58,a,6467,a,b,11315,a)]. given #10754 (H,wt=17): 11365 L(x,y * K(z,u),y * K(z,u)) = L(x,y,y). [hyper(272,a,2952,a(flip),b,11326,a),flip(a)]. given #10755 (H,wt=19): 11322 T(x,(K(y,z) * u) * w) = T(x,(u * K(y,z)) * w). [para(9535(a,1),11311(a,1,2))]. given #10756 (H,wt=19): 11323 T(x,y * (K(z,u) * w)) = T(x,y * (w * K(z,u))). [para(6343(a,1),11313(a,1,2)),flip(a)]. given #10757 (H,wt=19): 11327 T(x,y * (K(z,u) / w)) = T(x,y * (w \ K(z,u))). [hyper(58,a,9642,a(flip),b,11315,a),flip(a)]. given #10758 (H,wt=19): 11330 T(x,T(y,z / u) * w) = T(x,T(y,u \ z) * w). [para(5800(a,1),11316(a,1,2,1))]. given #10759 (H,wt=19): 11331 T(x,K(y,z) * (u * w)) = T(x,u * (K(y,z) * w)). [para(10853(a,1),11316(a,1,2))]. given #10760 (H,wt=19): 11343 K(x,y * (K(z,u) / w)) = K(x,y * (w \ K(z,u))). [hyper(58,a,8901,a(flip),b,11338,a),flip(a)]. given #10761 (H,wt=19): 11344 K(x,y * T(z,u / w)) = K(x,y * T(z,w \ u)). [para(5800(a,1),11338(a,1,2,2))]. given #10762 (H,wt=19): 11345 K(x,y \ (K(z,u) * w)) = K(x,y \ (w * K(z,u))). [hyper(58,a,8441,a(flip),b,11339,a),flip(a)]. given #10763 (H,wt=19): 11362 T(x,T(K(y,z) * u,w)) = T(x,K(y,z) * T(u,w)). [para(10676(a,1),11349(a,1,2))]. given #10764 (H,wt=19): 11363 K(x,(y / T(z,K(u,w))) * v5) = K(x,(y / z) * v5). [para(3697(a,1),11360(a,1,2,1)),flip(a)]. given #10765 (H,wt=19): 11367 T(x,(K(y,z) * u) * w) = T(x,u * (K(y,z) * w)). [hyper(272,a,10889,a,b,11323,a)]. given #10766 (H,wt=19): 11368 T(x,(y \ K(z,u)) * (w * K(z,u))) = T(x,y \ w). [hyper(58,a,11036,a(flip),b,11323,a),flip(a)]. given #10767 (H,wt=19): 11378 T(x,(y * K(z,u)) * w) = T(x,y * (K(z,u) * w)). [hyper(58,a,11322,a(flip),b,11367,a)]. given #10768 (H,wt=20): 11348 K(x,K(y,T(z,u)) * w) != v5 | K(x,K(y,z) * w) = v5. [para(5804(a,1),11336(a,1,2))]. given #10769 (H,wt=20): 11358 T(x,T(y,z) / T(z,u)) != w | T(x,T(z,u) \ y) = w. [para(11334(a,1),6007(a,1))]. given #10770 (H,wt=21): 11309 T(x * T(y,K(z,u)),K(u,z)) = y * T(x,K(u,z) * y). [hyper(127,a,11305,a),flip(a)]. given #10771 (H,wt=21): 11333 T(x,y \ (z * T(y,K(u,w)))) = T(x,T(z,K(u,w) * y)). [para(11303(a,1),11317(a,1,2)),flip(a)]. given #10772 (H,wt=21): 11350 T(x,y * (K(z,T(u,w)) * v5)) = T(x,y * (K(z,u) * v5)). [para(5804(a,1),11321(a,1,2,2))]. given #10773 (H,wt=21): 11351 T(x,y * (T(z,T(u,w)) * v5)) = T(x,y * (T(z,u) * v5)). [para(5908(a,1),11321(a,1,2,2))]. given #10774 (H,wt=21): 11353 T(x,y * (z \ K(u,T(w,v5)))) = T(x,y * (z \ K(u,w))). [para(10966(a,1),11324(a,1,2,2))]. given #10775 (H,wt=21): 11355 T(x,y \ T(z / T(u,w),u)) = T(x,y \ (T(u,w) \ z)). [para(100(a,1),11332(a,1,2,2)),flip(a)]. given #10776 (H,wt=21): 11356 T(x,T(y,z) / (u * (z / u))) = T(x,(u * (z / u)) \ y). [hyper(6106,a,11334,a),flip(a)]. given #10777 (H,wt=19): 11386 T(x,(y * (z / y)) \ u) = T(x,T(u,z) / T(z,y)). [hyper(58,a,9710,a(flip),b,11356,a),flip(a)]. given #10778 (H,wt=17): 11387 T(x,(y * (z / y)) \ u) = T(x,T(z,y) \ u). [hyper(272,a,11357,a(flip),b,11386,a),flip(a)]. given #10779 (H,wt=17): 11388 T(x,T(y * z,z) \ u) = T(x,(z * y) \ u). [para(6(a,1),11387(a,1,2,1,2)),flip(a)]. given #10780 (H,wt=21): 11359 K(x,T(y,z) * (u * (z \ u))) = K(x,(u * (z \ u)) * y). [hyper(58,a,11264,a(flip),b,11340,a),flip(a)]. given #10781 (H,wt=19): 11390 K(x,(y * (z \ y)) * u) = K(x,y * (z \ (y * u))). [para(6946(a,1),11359(a,1,2)),flip(a)]. given #10782 (H,wt=21): 11369 T(x,(1 / y) * (z \ K(u,w))) = T(x,y \ (K(u,w) / z)). [hyper(6105,a,11327,a),flip(a)]. given #10783 (H,wt=19): 11392 T(x,y \ (K(z,u) / w)) = T(x,y \ (w \ K(z,u))). [hyper(6105,a,11369,a),flip(a)]. given #10784 (H,wt=21): 11373 T(x,K(y,z) * (u * (y * w))) = T(x,u * (T(y,z) * w)). [para(2750(a,1),11331(a,2,2,2))]. given #10785 (H,wt=21): 11380 T(x * T(y,K(z,u) * x),K(u,z)) = y * T(x,K(u,z)). [hyper(3866,a,11309,a)]. given #10786 (H,wt=21): 11381 T(x,T(y,z) * K(z,K(u,w))) = T(x,T(y,K(u,w) * z)). [para(4609(a,1),11333(a,1,2))]. given #10787 (H,wt=15): 11396 T(x,T(y,K(z,u) * w)) = T(x,T(y,w)). [hyper(58,a,11313,a(flip),b,11381,a),flip(a)]. given #10788 (H,wt=15): 11397 T(x,T(y,z * K(u,w))) = T(x,T(y,z)). [hyper(10928,a,11396,a)]. given #10789 (H,wt=17): 11399 T(x,T(y,z * T(u,w))) = T(x,T(y,z * u)). [para(4502(a,1),11396(a,1,2,2))]. given #10790 (H,wt=17): 11401 T(x,T(y,T(z,u) * w)) = T(x,T(y,w * z)). [hyper(10928,a,11399,a)]. given #10791 (H,wt=21): 11382 T(x,y * (z * K(u,T(w,v5)))) = T(x,y * (K(u,w) * z)). [hyper(58,a,11323,a(flip),b,11350,a)]. given #10792 (H,wt=21): 11385 T(x,y \ ((z \ u) * K(z,w))) = T(x,y \ (T(z,w) \ u)). [para(4300(a,1),11355(a,1,2,2))]. given #10793 (H,wt=21): 11391 K(x,y * ((z \ 1) \ (y * u))) = K(x,(y * (z * y)) * u). [hyper(58,a,8671,a(flip),b,11390,a),flip(a)]. given #10794 (H,wt=21): 11395 T(x * T(y,x * K(z,u)),K(z,u)) = y * T(x,K(z,u)). [para(10931(a,1),11380(a,1,1,2))]. given #10795 (H,wt=21): 11400 T(x,T(y,z * (u * T(w,v5)))) = T(x,T(y,z * (u * w))). [para(6276(a,1),11397(a,1,2,2))]. given #10796 (H,wt=21): 11402 K(x,y * ((1 \ z) * (y * u))) = K(x,(y * (z * y)) * u). [hyper(9664,a,11391,a)]. given #10797 (H,wt=19): 11404 K(x,(y * (z * y)) * u) = K(x,y * (z * (y * u))). [para(60(a,1),11402(a,1,2,2,1)),flip(a)]. given #10798 (H,wt=22): 11372 T(T(x,K(y,z)),u * (K(y,z) * w)) = T(x,L(u * w,z,y)). [hyper(58,a,11145,a(flip),b,11331,a),flip(a)]. given #10799 (H,wt=22): 11406 T(T(x,K(y,z)),u * (w * K(y,z))) = T(x,L(u * w,z,y)). [hyper(58,a,11323,a(flip),b,11372,a)]. given #10800 (H,wt=23): 11306 x \ T(y * x,K(z,a(u,w,v5))) = T(y,K(z,a(u,w,v5)) * x). [para(10980(a,1),11303(a,1,2,1,2))]. given #10801 (H,wt=16): 11408 T(x,K(y,a(z,u,w)) * v5) = v5 \ (x * v5). [para(10980(a,1),11306(a,1,2)),flip(a)]. given #10802 (H,wt=14): 11409 T(x,K(y,a(z,u,w)) * v5) = T(x,v5). [hyper(272,a,17,a,b,11408,a),flip(a)]. given #10803 (H,wt=14): 11411 T(x,a(y,z,K(u,w)) * v5) = T(x,v5). [para(10274(a,2),11409(a,1,2,1))]. given #10804 (H,wt=14): 11412 T(x,y * a(z,u,K(w,v5))) = T(x,y). [hyper(10991,a,11411,a)]. given #10805 (H,wt=16): 11413 K(x,y * a(z,u,K(w,v5))) = x \ T(x,y). [hyper(112,a,11412,a(flip),b,2674,a(flip)),flip(a)]. given #10806 (H,wt=14): 11414 K(x,y * a(z,u,K(w,v5))) = K(x,y). [hyper(272,a,2672,a,b,11413,a),flip(a)]. given #10807 (H,wt=14): 11415 K(x,a(y,z,K(u,w)) * v5) = K(x,v5). [para(10973(a,2),11414(a,1,2))]. given #10808 (H,wt=14): 11416 K(x,K(a(y,z,u),w) * v5) = K(x,v5). [para(10282(a,1),11415(a,1,2,1))]. given #10809 (H,wt=18): 11417 K(x,K(y,L(z,u,w)) * v5) = K(x,K(y,z) * v5). [para(10323(a,1),11416(a,1,2)),flip(a)]. given #10810 (H,wt=18): 11418 K(x,y * K(z,L(u,w,v5))) = K(x,K(z,u) * y). [hyper(10912,a,11417,a)]. given #10811 (H,wt=18): 11419 K(x,y * K(z,L(u,w,v5))) = K(x,y * K(u,z)). [hyper(272,a,10936,a(flip),b,11418,a),flip(a)]. given #10812 (H,wt=21): 11420 K(x,y * K(z,L(u,w,v5))) != v6 | K(x,y * K(u,z)) = v6. [para(11418(a,2),10952(a,1))]. given #10813 (H,wt=21): 11421 K(x,y * K(z,L(u,w,v5))) != v6 | K(x,K(z,u) * y) = v6. [para(11419(a,2),10938(a,1))]. given #10814 (H,wt=21): 11422 K(x,K(y,L(z,u,w)) * v5) != v6 | K(x,K(y,z) * v5) = v6. [para(10890(a,2),11421(a,1))]. given #10815 (H,wt=23): 11329 T(x,y * ((z * K(u,w)) \ v5)) = T(x,y * (z \ (v5 * K(u,w)))). [para(10881(a,1),11315(a,1,2,2)),flip(a)]. given #10816 (H,wt=23): 11352 T(x,y * (z * (K(u,w) * v5))) = T(x,y * (z * (v5 * K(u,w)))). [para(6343(a,1),11324(a,1,2,2)),flip(a)]. given #10817 (H,wt=23): 11361 K(x,T(y,z * x) / T(z \ 1,y * z)) = K(x,y / (z \ 1)). [hyper(58,a,9503,a(flip),b,11342,a),flip(a)]. given #10818 (H,wt=19): 11426 K(x,(y \ K(y * x,z)) \ z) = K(x,z / (y \ 1)). [para(5902(a,1),11361(a,1,2))]. given #10819 (H,wt=19): 11427 K(x,(K(y,z * x) * z) * y) = K(x,y / (z \ 1)). [hyper(58,a,5995,a(flip),b,11426,a)]. given #10820 (H,wt=19): 11428 K(x,(y * K(z,x * y)) * z) = K(x,z / (y \ 1)). [para(6068(a,1),11427(a,1,2,1))]. given #10821 (H,wt=17): 11429 K(x,y * T(z,x * y)) = K(x,z / (y \ 1)). [para(3699(a,1),11428(a,1,2))]. given #10822 (H,wt=15): 11430 K(x,y * T(z,x * y)) = K(x,z * y). [hyper(272,a,6067,a(flip),b,11429,a),flip(a)]. given #10823 (H,wt=17): 11431 T(x,y * T(z,x * y)) = x * K(x,z * y). [hyper(114,a,11430,a(flip),b,2672,a(flip)),flip(a)]. given #10824 (H,wt=15): 11432 T(x,y * T(z,x * y)) = T(x,z * y). [hyper(272,a,2674,a,b,11431,a),flip(a)]. given #10825 (H,wt=23): 11376 T(x,K(y,z) * T(T(T(y,z),u),w)) = T(x,T(T(y,T(u,z)),w)). [para(5429(a,1),11362(a,1,2,1)),flip(a)]. given #10826 (H,wt=23): 11377 K(x,(T(y,K(z,u)) * K(w,v5)) \ v6) = K(x,(K(w,v5) / y) * v6). [hyper(58,a,5996,a,b,11363,a)]. given #10827 (H,wt=23): 11383 T(x,y * (z \ (K(u,w) * v5))) = T(x,y * (K(u,w) * (z \ v5))). [para(10867(a,1),11350(a,1,2,2))]. given #10828 (H,wt=23): 11384 T(x,y * (z \ K(u,T(w,v5)))) = x * K(x,y * (z \ K(u,w))). [hyper(272,a,2674,a(flip),b,11353,a),flip(a)]. given #10829 (H,wt=23): 11403 T(x,T(y,z * (u * T(w,v5)))) = x * K(x,T(y,z * (u * w))). [hyper(272,a,2674,a(flip),b,11400,a),flip(a)]. given #10830 (H,wt=21): 11437 K(x,T(y,z * (u * T(w,v5)))) = K(x,T(y,z * (u * w))). [hyper(2751,a,11403,a)]. given #10831 (H,wt=21): 11438 K(x,T(y,z * ((u / T(w,v5)) * w))) = K(x,T(y,z * u)). [para(7(a,1),11437(a,1,2,2,2)),flip(a)]. given #10832 (H,wt=17): 11439 K(x,T(y,z * T(u,w))) = K(x,T(y,z * u)). [para(2227(a,1),11438(a,1,2,2,2))]. given #10833 (H,wt=17): 11441 K(x,T(y,z * T(u,w))) = K(x,T(y,u * z)). [hyper(272,a,10911,a,b,11439,a),flip(a)]. given #10834 (H,wt=19): 11440 K(x,T(y,z * (u * K(w,v5)))) = K(x,T(y,z * u)). [para(3972(a,1),11438(a,1,2,2,2))]. given #10835 (H,wt=15): 11444 K(x,T(y,K(z,u) * w)) = K(x,T(y,w)). [para(5303(a,1),11440(a,1,2,2)),flip(a)]. given #10836 (H,wt=17): 11445 x * K(y,T(z,K(u,w) * x)) = K(y,z) * x. [para(11444(a,2),5236(a,1,2))]. given #10837 (H,wt=17): 11446 x * T(K(y,z),K(u,w) * x) = K(y,z) * x. [para(5238(a,1),11445(a,1,2))]. given #10838 (H,wt=19): 11442 K(x,T(y,z * (u / w))) = K(x,T(y,z * (w \ u))). [para(100(a,1),11439(a,1,2,2,2)),flip(a)]. given #10839 (H,wt=19): 11447 T(K(x,y) * z,K(u,w)) = K(x,y) * T(z,K(u,w)). [para(11446(a,1),11380(a,1,1))]. given #10840 (H,wt=19): 11448 K(x,T(y,z \ (z \ u))) = K(x,T(y,z * (u \ z))). [hyper(58,a,6131,a,b,11442,a)]. given #10841 (H,wt=23): 11423 T(x,y * (z \ (u * K(w,v5)))) = T(x,y * ((K(w,v5) / z) * u)). [hyper(58,a,8516,a(flip),b,11329,a),flip(a)]. given #10842 (H,wt=23): 11434 K(x,(T(y,K(z,u)) \ w) * K(v5,v6)) = K(x,(K(v5,v6) / y) * w). [hyper(11039,a,11377,a)]. given #10843 (H,wt=24): 11407 T(a(x,y,z),u * (w * K(v5,v6))) = T(a(x,y,z),L(u * w,v6,v5)). [para(10989(a,1),11406(a,1,1))]. given #10844 (H,wt=24): 11436 T(x,y * (z \ K(u,T(w,v5)))) != v6 | T(x,y * (z \ K(u,w))) = v6. [para(11384(a,2),2737(a,1))]. given #10845 (H,wt=25): 11325 T(x,K(y,K(z,u)) * (w * (v5 \ (w / v5)))) = T(x,(v5 \ w) * (v5 \ w)). [hyper(58,a,9449,a(flip),b,11314,a)]. given #10846 (H,wt=24): 11451 T(x,K(y,K(z,u)) * (w * (v5 \ (w / v5)))) = L(x,v5 \ w,v5 \ w). [hyper(272,a,2952,a(flip),b,11325,a),flip(a)]. given #10847 (H,wt=18): 11452 T(x,y * (z \ (y / z))) = L(x,z \ y,z \ y). [hyper(58,a,11314,a(flip),b,11451,a)]. given #10848 (H,wt=20): 11453 x \ L(x,y \ z,y \ z) = K(x,z * (y \ (z / y))). [hyper(112,a,11452,a(flip),b,2674,a(flip))]. given #10849 (H,wt=18): 11456 K(x,y * (z \ (y / z))) = a(x,z \ y,z \ y). [hyper(4249,a,11453,a),flip(a)]. given #10850 (H,wt=20): 11454 L(x,y \ x,y \ x) \ 1 = T(x \ 1,y \ (x / y)). [para(11452(a,1),3388(a,1,1))]. given #10851 (H,wt=19): 11458 T(x \ 1,y \ (x / y)) = (y * ((x \ y) \ 1)) \ 1. [para(5197(a,1),11454(a,1,1)),flip(a)]. given #10852 (H,wt=16): 11459 T(x \ 1,y \ (x / y)) = 1 / L(x,y,y). [hyper(272,a,4957,a(flip),b,11458,a),flip(a)]. given #10853 (H,wt=18): 11460 K(x \ (y / x),y \ 1) = y * (1 / L(y,x,x)). [hyper(114,a,11459,a(flip),b,2653,a),flip(a)]. given #10854 (H,wt=17): 11461 K(x \ (y / x),y \ 1) = K(y,x * (x / y)). [hyper(272,a,8050,a(flip),b,11460,a),flip(a)]. given #10855 (H,wt=17): 11462 K(x,x * (y \ (x / y))) = K(x,y * (y / x)). [hyper(3622,a,11461,a)]. given #10856 (H,wt=16): 11463 a(x,y \ x,y \ x) = K(x,y * (y / x)). [hyper(58,a,11456,a(flip),b,11462,a)]. given #10857 (H,wt=16): 11464 a(x,y \ x,y \ x) = K(x,y * (x \ y)). [hyper(272,a,5378,a(flip),b,11463,a),flip(a)]. given #10858 (H,wt=21): 11457 K(x,y * (z \ (y / z))) != u | a(x,z \ y,z \ y) = u. [para(11453(a,1),4249(a,1))]. given #10859 (H,wt=25): 11370 T(x,y * ((z * u) \ K(w,T(v5,u)))) = T(x,y * (u \ (K(w,v5) / z))). [hyper(58,a,11116,a(flip),b,11327,a),flip(a)]. given #10860 (H,wt=25): 11393 T(x,y \ (T(K(z,u),w \ 1) * w)) = T(x,y \ (K(z,u) / (1 / w))). [para(1972(a,2),11392(a,2,2,2)),flip(a)]. given #10861 (H,wt=25): 11405 K(x,y * (z * (y * u))) * (x * w) = T(x,(y * (z * y)) * u) * w. [para(11404(a,1),2750(a,1,1))]. given #10862 (H,wt=19): 11468 T(x,(y * (z * y)) * u) = T(x,y * (z * (y * u))). [hyper(3213,a,11405,a),flip(a)]. given #10863 (H,wt=19): 11470 T(x,((y * z) * y) * u) = T(x,y * (z * (y * u))). [hyper(58,a,8509,a,b,11468,a)]. given #10864 (H,wt=19): 11471 T(x,y * ((y \ z) * (y * u))) = T(x,(z * y) * u). [para(5(a,1),11470(a,1,2,1,1)),flip(a)]. given #10865 (H,wt=19): 11472 T(x,((y / z) * y) * u) = T(x,y * (z \ (y * u))). [hyper(58,a,9641,a(flip),b,11471,a),flip(a)]. given #10866 (H,wt=19): 11473 T(x,(y * z) * (z \ u)) = T(x,z * ((z \ y) * u)). [para(5(a,1),11471(a,1,2,2,2)),flip(a)]. given #10867 (H,wt=19): 11475 T(x,(y * (z \ y)) * u) = T(x,y * (z \ (y * u))). [hyper(58,a,8477,a(flip),b,11472,a)]. given #10868 (H,wt=21): 11474 T(x,y * ((y \ z) * (u * y))) = T(x,(z * y) * T(u,y)). [para(98(a,1),11471(a,1,2,2,2))]. given #10869 (H,wt=21): 11476 T(x,(T(y,z) * z) * (z \ u)) = T(x,z * ((y / z) * u)). [hyper(272,a,8575,a(flip),b,11473,a),flip(a)]. given #10870 (H,wt=19): 11482 T(x,(y * z) * (y \ u)) = T(x,y * ((z / y) * u)). [para(2778(a,1),11476(a,1,2,1))]. given #10871 (H,wt=21): 11480 T(x,((y \ z) * T(z,y)) * u) = T(x,z * (y \ (z * u))). [hyper(58,a,8724,a,b,11475,a)]. given #10872 (H,wt=23): 11478 T(x,((y * z) * z) * (y \ u)) = T(x,y * ((y \ (z * z)) * u)). [para(3252(a,2),11473(a,1,2,1))]. given #10873 (H,wt=25): 11450 K(x,T(y,z * (u \ z))) * (u / z) = ((z * z) \ u) * (K(x,y) * z). [para(11448(a,1),11103(a,1,1))]. given #10874 (H,wt=25): 11467 T(x,y \ (T(K(z,u),w \ 1) * w)) = T(x,y \ ((w \ K(z,u)) \ 1)). [para(5635(a,1),11393(a,2,2,2))]. given #10875 (H,wt=23): 11484 T(x,y \ (T(K(z,u),w \ 1) * w)) = T(x,(y \ K(z,u)) * w). [hyper(272,a,11045,a(flip),b,11467,a),flip(a)]. given #10876 (H,wt=21): 11485 T(x,y \ (K(z,T(u,w)) * w)) = T(x,(y \ K(z,u)) * w). [para(5999(a,1),11484(a,1,2,2,1))]. given #10877 (H,wt=19): 11486 T(x,y \ (z * K(u,w))) = T(x,(y \ K(u,w)) * z). [para(5252(a,1),11485(a,1,2,2))]. given #10878 (H,wt=25): 11477 T(x,y * ((y \ z) * (u \ (1 / w)))) = T(x,(z * y) / ((w * u) * y)). [hyper(58,a,9731,a(flip),b,11473,a),flip(a)]. given #10879 (H,wt=26): 11374 K(x,y \ ((z * u) * K(w,L(v5,z,u)))) = K(x,y \ ((K(w,v5) * z) * u)). [para(10607(a,1),11345(a,1,2,2)),flip(a)]. given #10880 (H,wt=25): 11489 K(x,y \ (z * (T(u,z) * K(w,v5)))) = K(x,y \ ((K(w,v5) * u) * z)). [para(9008(a,1),11374(a,1,2,2))]. given #10881 (H,wt=26): 11466 T(x,y * (z \ (K(u,w) / v5))) != v6 | T(x,y * ((v5 * z) \ K(u,w))) = v6. [para(11370(a,1),11436(a,1))]. given #10882 (H,wt=27): 11307 x \ T(y * T(x,K(z,u)),K(z,R(u,w,v5))) = T(y,K(z,R(u,w,v5)) * x). [para(11027(a,1),11303(a,1,2,1,2))]. given #10883 (H,wt=24): 11490 T(x,K(y,R(z,u,w)) * v5) = v5 \ T(x * T(v5,K(y,z)),K(y,z)). [para(11027(a,1),11307(a,1,2)),flip(a)]. given #10884 (H,wt=18): 11491 T(x,K(y,R(z,u,w)) * v5) = T(x,K(y,z) * v5). [hyper(272,a,11303,a(flip),b,11490,a),flip(a)]. given #10885 (H,wt=18): 11493 T(x,K(y,L(z,u,w)) * v5) = T(x,K(y,z) * v5). [para(10604(a,1),11491(a,1,2,1))]. given #10886 (H,wt=24): 11494 T(x,K(y,L(z,u,w)) * (v5 * (y * v6))) = T(x,v5 * (T(y,z) * v6)). [hyper(272,a,11373,a(flip),b,11493,a),flip(a)]. given #10887 (H,wt=22): 11495 T(x,y * (T(z,L(u,w,v5)) * v6)) = T(x,y * (T(z,u) * v6)). [hyper(58,a,11373,a(flip),b,11494,a)]. given #10888 (H,wt=27): 11354 T(x,K(y,T(T(z,u),w)) * T(z,w)) = T(x,K(z,u) * T(T(T(z,u),w),y)). [hyper(58,a,10948,a(flip),b,11328,a),flip(a)]. given #10889 (H,wt=23): 11497 T(x,K(y,z) * T(T(T(y,z),u),w)) = T(x,T(T(y,u),T(w,z))). [para(5324(a,1),11354(a,1,2)),flip(a)]. given #10890 (H,wt=24): 11498 T(x,K(y,z) * T(T(T(y,z),u),w)) != v5 | T(x,T(T(y,u),w)) = v5. [para(11497(a,2),10927(a,1))]. given #10891 (H,wt=20): 11500 T(x,T(T(y,T(z,u)),w)) != v5 | T(x,T(T(y,z),w)) = v5. [para(11376(a,1),11498(a,1))]. given #10892 (H,wt=27): 11375 T(x,K(y,z \ 1) * T((y * z) / u,w)) = T(x,T(T(y * z,z) / u,w)). [hyper(9730,a,11362,a),flip(a)]. given #10893 (H,wt=25): 11501 T(x,K(y,z) * T((y * z) / u,w)) = T(x,T(T(y * z,z) / u,w)). [hyper(58,a,8666,a(flip),b,11375,a)]. given #10894 (H,wt=27): 11379 T(x,(K(y,z) * u) * (K(y,T(z,w)) * v5)) = T(x,u * (K(y,K(z,w)) * v5)). [para(11046(a,1),11367(a,2,2,2))]. given #10895 (H,wt=21): 11502 T(x,(K(y,z) * u) * (K(y,T(z,w)) * v5)) = T(x,u * v5). [hyper(272,a,11321,a(flip),b,11379,a),flip(a)]. given #10896 (H,wt=20): 11504 T(x,(K(y,z) * u) * (K(y,T(z,w)) * u)) = L(x,u,u). [hyper(272,a,2952,a(flip),b,11502,a),flip(a)]. given #10897 (H,wt=18): 11505 T(x,(K(y,z) * u) * (K(y,z) * u)) = L(x,u,u). [hyper(58,a,11350,a(flip),b,11504,a)]. given #10898 (H,wt=17): 11506 L(x,K(y,z) * u,K(y,z) * u) = L(x,u,u). [hyper(58,a,2952,a(flip),b,11505,a)]. given #10899 (H,wt=20): 11507 ((K(x,y) * z) \ 1) * L(u,z,z) = (K(x,y) * z) \ u. [hyper(114,a,11506,a(flip),b,2013,a)]. given #10900 (H,wt=18): 11510 (x \ K(y,z)) * L(u,x,x) = (K(y,z) * x) \ u. [para(5610(a,1),11507(a,1,1))]. given #10901 (H,wt=17): 11511 (K(x,T(y,z)) * u) \ z = (u \ z) * K(x,y). [hyper(11083,a,11510,a),flip(a)]. given #10902 (H,wt=17): 11512 (x \ y) * K(z,T(u,y)) = (K(z,u) * x) \ y. [para(2765(a,1),11511(a,1,1,1,2)),flip(a)]. given #10903 (H,wt=17): 11514 (x \ y) * T(K(z,u),y) = (K(z,u) * x) \ y. [para(5238(a,1),11512(a,1,2))]. given #10904 (H,wt=19): 11513 (K(x,K(y,z)) * u) \ w = (u \ w) * K(x,K(y,z)). [para(10918(a,1),11511(a,1,1,1))]. given #10905 (H,wt=19): 11516 T(x,(K(y,z) * u) \ w) = T(x,K(y,z) * (u \ w)). [para(11512(a,1),11349(a,1,2))]. given #10906 (H,wt=19): 11518 (K(x,K(y,z)) * u) \ w = K(x,K(y,z)) * (u \ w). [hyper(272,a,10893,a,b,11513,a),flip(a)]. given #10907 (H,wt=19): 11520 T(x,(y \ K(z,u)) * w) = T(x,K(z,u) * (y \ w)). [hyper(58,a,6026,a(flip),b,11516,a)]. given #10908 (H,wt=19): 11522 T(x,K(y,z) * (u \ (w * K(y,z)))) = T(x,u \ w). [hyper(58,a,11368,a(flip),b,11520,a),flip(a)]. given #10909 (H,wt=19): 11523 T(x,K(y,z) * ((K(y,z) / u) * w)) = T(x,u \ w). [hyper(58,a,11423,a(flip),b,11522,a)]. given #10910 (H,wt=21): 11517 ((x \ y) * K(z,u)) * K(y,K(z,u)) = (K(z,u) * x) \ y. [hyper(4018,a,11514,a)]. given #10911 (H,wt=19): 11524 (K(x,y) * z) \ T(u,K(x,y)) = (z \ u) * K(x,y). [hyper(30,a,5692,a,b,11517,a)]. given #10912 (H,wt=19): 11525 ((K(x,y) * z) \ u) * K(x,y) = z \ T(u,K(x,y)). [para(3893(a,1),11524(a,1,1)),flip(a)]. given #10913 (H,wt=19): 11529 K(x,((K(y,z) * u) \ w) * K(y,z)) = K(x,u \ w). [para(11525(a,2),11339(a,1,2))]. given #10914 (H,wt=19): 11530 K(x,(K(y,z) * u) \ w) = K(x,(u \ w) * K(z,y)). [para(3880(a,1),11529(a,1,2,1,1)),flip(a)]. given #10915 (H,wt=19): 11533 K(x,(K(y,z) * u) \ w) = K(x,K(y,z) * (u \ w)). [hyper(272,a,10936,a,b,11530,a),flip(a)]. given #10916 (H,wt=21): 11531 K(x,((1 / (y \ K(z,u))) \ w) * K(z,u)) = K(x,y \ w). [para(5631(a,2),11529(a,1,2,1,1))]. given #10917 (H,wt=23): 11508 L(x,T(y,z) * u,K(y,z) * (y * u)) = L(x,y * u,y * u). [para(2750(a,1),11506(a,1,2))]. given #10918 (H,wt=21): 11536 L(x,T(y,z) * u,T(y,z) * u) = L(x,y * u,y * u). [para(2750(a,1),11508(a,1,3))]. given #10919 (H,wt=23): 11519 ((K(x,y) * z) \ u) * K(x,K(y,w)) = (K(x,T(y,w)) * z) \ u. [para(5805(a,1),11513(a,1,1)),flip(a)]. given #10920 (H,wt=23): 11521 (x * (K(y,K(z,u)) * w)) \ v5 = K(y,K(z,u)) * ((x * w) \ v5). [para(10901(a,1),11518(a,1,1))]. given #10921 (H,wt=23): 11527 T((K(x,y) * z) \ u,K(x,y)) = K(x,y) * (z \ T(u,K(x,y))). [hyper(215,a,11525,a,b,3893,a)]. given #10922 (H,wt=23): 11534 K(x,(T(y,K(z,u)) \ w) * K(z,u)) = K(x,K(z,u) * (y \ w)). [hyper(11063,a,11533,a)]. given #10923 (H,wt=19): 11540 K(x,(K(y,z) / u) * w) = K(x,K(y,z) * (u \ w)). [hyper(58,a,11434,a(flip),b,11534,a)]. given #10924 (H,wt=19): 11542 K(x,y \ (z * K(u,w))) = K(x,K(u,w) * (y \ z)). [hyper(58,a,11054,a,b,11540,a)]. given #10925 (H,wt=19): 11543 K(x,y \ (z * K(u,w))) = K(x,(y \ z) * K(u,w)). [hyper(272,a,10890,a(flip),b,11542,a),flip(a)]. given #10926 (H,wt=21): 11544 K(x,K(y,z) * (u \ (w * y))) = K(x,u \ (w * T(y,z))). [para(3664(a,1),11542(a,1,2,2)),flip(a)]. given #10927 (H,wt=19): 11546 K(x,y \ (z * T(u,K(w,v5)))) = K(x,y \ (z * u)). [hyper(11336,a,11544,a),flip(a)]. given #10928 (H,wt=23): 11535 K(x,(y \ K(z,u)) * ((w * y) * (y \ K(z,u)))) = K(x,y \ w). [para(107(a,2),11531(a,1,2))]. given #10929 (H,wt=23): 11547 K(x,y \ (z * (K(u,w) * v5))) = K(x,y \ (z * (v5 * K(u,w)))). [para(3728(a,1),11546(a,1,2,2,2)),flip(a)]. given #10930 (H,wt=26): 11528 x \ T(y,K(z,u)) != K(z,u) * w | T((K(z,u) * x) \ y,K(z,u)) = w. [para(11525(a,1),216(a,2)),flip(a)]. given #10931 (H,wt=26): 11532 K(x,(((K(y,z) * u) * w) \ v5) * K(y,L(z,u,w))) = K(x,(u * w) \ v5). [para(10607(a,1),11529(a,1,2,1,1))]. given #10932 (H,wt=23): 11548 K(x,(((K(y,z) * u) * w) \ v5) * K(z,y)) = K(x,(u * w) \ v5). [hyper(11420,a,11532,a)]. given #10933 (H,wt=26): 11545 K(x,(y \ (z * u)) * K(w,L(v5,u,z))) = K(x,y \ (z * (u * K(w,v5)))). [para(8235(a,1),11543(a,1,2,2)),flip(a)]. given #10934 (H,wt=23): 11550 K(x,y \ (z * (u * K(w,v5)))) = K(x,K(w,v5) * (y \ (z * u))). [hyper(11421,a,11545,a),flip(a)]. given #10935 (H,wt=23): 11551 K(x,y \ (z * (u * K(w,v5)))) = K(x,(y \ (z * u)) * K(v5,w)). [hyper(11420,a,11545,a),flip(a)]. given #10936 (H,wt=23): 11553 K(x,y \ (z * (K(u,w) * v5))) = K(x,K(u,w) * (y \ (z * v5))). [hyper(58,a,11547,a,b,11550,a)]. given #10937 (H,wt=25): 11554 K(x,(y \ (z * T(u,z))) * K(w,v5)) = K(x,y \ ((K(v5,w) * u) * z)). [hyper(58,a,11489,a(flip),b,11551,a),flip(a)]. given #10938 (H,wt=23): 11556 K(x,y \ ((K(z,u) * w) * v5)) = K(x,(y \ (w * v5)) * K(u,z)). [para(98(a,1),11554(a,1,2,1,2)),flip(a)]. given #10939 (H,wt=27): 11424 T(x,y * (z * (K(u,w) * (u * v5)))) = T(x,y * (z * (u * (v5 * K(u,w))))). [para(4303(a,1),11352(a,2,2,2,2))]. given #10940 (H,wt=25): 11558 T(x,y * (z * (u * (w * K(u,v5))))) = T(x,y * (z * (T(u,v5) * w))). [para(2750(a,1),11424(a,1,2,2,2)),flip(a)]. given #10941 (H,wt=27): 11479 T(x,(((y / z) * y) * z) * (z \ u)) = T(x,z * (((z \ y) * (z \ y)) * u)). [para(4086(a,1),11473(a,2,2,2,1))]. given #10942 (H,wt=25): 11559 T(x,y * (((y \ z) * (y \ z)) * u)) = T(x,(z * T(z,y)) * (y \ u)). [para(4084(a,1),11479(a,1,2,1)),flip(a)]. given #10943 (H,wt=25): 11560 T(x,y * (((y \ z) * (y \ z)) * u)) = T(x,z * (T(z,y) * (y \ u))). [hyper(272,a,8543,a(flip),b,11559,a),flip(a)]. given #10944 (H,wt=27): 11487 T(x,((y / z) \ K(u,z / y)) * w) = T(x,((z / y) * w) * K(z / y,u)). [hyper(58,a,8895,a(flip),b,11486,a),flip(a)]. given #10945 (H,wt=25): 11561 T(x,((y / z) * u) * K(y / z,w)) = T(x,T((z / y) \ 1,w) * u). [para(4458(a,1),11487(a,1,2,1)),flip(a)]. given #10946 (H,wt=23): 11562 T(x,((y / z) * u) * K(y / z,w)) = T(x,T(z / y,w) \ u). [hyper(272,a,8505,a(flip),b,11561,a),flip(a)]. given #10947 (H,wt=23): 11563 T(x,((y / z) * u) * K(w,y / z)) = T(x,T(z / y,w) \ u). [hyper(10950,a,11562,a)]. given #10948 (H,wt=23): 11564 T(x,(y / z) * (u * K(w,y / z))) = T(x,T(z / y,w) \ u). [para(4319(a,1),11563(a,1,2))]. given #10949 (H,wt=19): 11565 T(x,T(y / z,u) \ w) = T(x,T(z / y,u) * w). [hyper(11047,a,11564,a),flip(a)]. given #10950 (H,wt=27): 11488 T(x,((y \ z) \ K(u,z \ y)) * w) = T(x,((z \ y) * w) * K(z \ y,u)). [hyper(58,a,8894,a(flip),b,11486,a),flip(a)]. given #10951 (H,wt=25): 11567 T(x,((y \ z) * u) * K(y \ z,w)) = T(x,T((z \ y) \ 1,w) * u). [para(4436(a,1),11488(a,1,2,1)),flip(a)]. given #10952 (H,wt=23): 11568 T(x,((y \ z) * u) * K(y \ z,w)) = T(x,T(z \ y,w) \ u). [hyper(272,a,8505,a(flip),b,11567,a),flip(a)]. given #10953 (H,wt=23): 11569 T(x,((y \ z) * u) * K(w,y \ z)) = T(x,T(z \ y,w) \ u). [hyper(10950,a,11568,a)]. given #10954 (H,wt=23): 11570 T(x,(y \ z) * (u * K(w,y \ z))) = T(x,T(z \ y,w) \ u). [para(4319(a,1),11569(a,1,2))]. given #10955 (H,wt=19): 11571 T(x,T(y \ z,u) \ w) = T(x,T(z \ y,u) * w). [hyper(11047,a,11570,a),flip(a)]. given #10956 (H,wt=22): 11572 T(x,T(y \ z,u) \ w) != v5 | T(x,T(z \ y,u) * w) = v5. [para(11570(a,1),11047(a,1))]. given #10957 (H,wt=27): 11509 L(x,y * (K(z,u) * w),K(z,T(u,y)) * (y * w)) = L(x,y * w,y * w). [para(10860(a,1),11506(a,1,2))]. given #10958 (H,wt=25): 11573 L(x,y * (K(z,u) * w),y * (K(z,u) * w)) = L(x,y * w,y * w). [para(10860(a,1),11509(a,1,3))]. given #10959 (H,wt=27): 11526 (K(x,y) * (1 / z)) \ T(1 / u,K(x,y)) = (1 / (u * (z \ 1))) * K(x,y). [para(4096(a,2),11524(a,2,1))]. given #10960 (H,wt=25): 11575 (K(x,y) / z) \ T(1 / u,K(x,y)) = (1 / (u * (z \ 1))) * K(x,y). [para(5580(a,1),11526(a,1,1))]. given #10961 (H,wt=25): 11576 (K(x,y) / z) \ (1 / T(u,K(x,y))) = (1 / (u * (z \ 1))) * K(x,y). [para(5562(a,2),11575(a,1,2))]. given #10962 (H,wt=25): 11577 (K(x,y) / z) \ (1 / T(u,K(x,y))) = ((1 / z) \ (1 / u)) * K(x,y). [para(4096(a,1),11576(a,2,1))]. given #10963 (H,wt=27): 11537 L(x,(y \ z) * u,T(z / y,y) * u) = L(x,(z / y) * u,(z / y) * u). [para(100(a,1),11536(a,1,2,1))]. given #10964 (H,wt=25): 11578 L(x,(y / z) * u,(y / z) * u) = L(x,(z \ y) * u,(z \ y) * u). [para(100(a,1),11537(a,1,3,1)),flip(a)]. given #10965 (H,wt=27): 11539 L(x,T(T(y,z),u) * z,T(T(y,z),u) * z) = L(x,z * y,T(y,z) * z). [para(2778(a,1),11536(a,2,2))]. given #10966 (H,wt=25): 11579 L(x,y * T(z,u),T(T(z,y),u) * y) = L(x,y * z,T(z,y) * y). [para(2786(a,1),11539(a,1,2))]. given #10967 (H,wt=23): 11580 L(x,y * T(z,u),y * T(z,u)) = L(x,y * z,T(z,y) * y). [para(2786(a,1),11579(a,1,3))]. given #10968 (H,wt=21): 11581 L(x,y * T(z,u),y * T(z,u)) = L(x,y * z,y * z). [para(2778(a,1),11580(a,2,3))]. given #10969 (H,wt=27): 11583 L(x,y * (z \ u),y * T(u / z,z)) = L(x,y * (u / z),y * (u / z)). [para(100(a,1),11581(a,1,2,2))]. given #10970 (H,wt=25): 11585 L(x,y * (z / u),y * (z / u)) = L(x,y * (u \ z),y * (u \ z)). [para(100(a,1),11583(a,1,3,2)),flip(a)]. given #10971 (H,wt=27): 11586 L(x,y * (z * (u \ 1)),y * (z / u)) = L(x,y * (u \ z),y * (u \ z)). [hyper(9257,a,11585,a)]. given #10972 (H,wt=27): 11587 L(x,((y \ 1) * z) * z,z * (z / y)) = L(x,z * (y \ z),z * (y \ z)). [hyper(58,a,9212,a,b,11586,a)]. given #10973 (H,wt=28): 11465 L((x \ y) \ 1,(x \ y) \ 1,x) \ 1 = K(y,x * (y \ x)) / ((x \ y) \ 1). [para(11464(a,1),11158(a,2,1))]. given #10974 (H,wt=26): 11589 L((x \ y) \ 1,(x \ y) \ 1,x) \ 1 = K(y,x * (y \ x)) * (x \ y). [hyper(272,a,5578,a(flip),b,11465,a),flip(a)]. given #10975 (H,wt=24): 11590 (L(x \ y,x \ y,x) \ 1) \ 1 = K(y,x * (y \ x)) * (x \ y). [para(5085(a,1),11589(a,1,1))]. given #10976 (H,wt=24): 11591 (L(x \ y,x,x \ y) \ 1) \ 1 = K(y,x * (y \ x)) * (x \ y). [para(10354(a,2),11590(a,1,1,1))]. given #10977 (H,wt=21): 11592 K(x,y * (x \ y)) * (y \ x) = (T(x / y,x) \ 1) \ 1. [para(2340(a,1),11591(a,1,1,1)),flip(a)]. given #10978 (H,wt=17): 11593 K(x,y * (x \ y)) * (y \ x) = (x \ y) \ 1. [para(3041(a,1),11592(a,2,1))]. given #10979 (H,wt=29): 11515 T(x,y * (((z \ u) * K(w,T(v5,u))) * v6)) = T(x,y * (((z \ K(w,v5)) * u) * v6)). [para(11512(a,2),8847(a,1,2,2,1))]. given #10980 (H,wt=29): 11584 L(x,y * (z * y),(y * y) * T(z,y \ 1)) = L(x,(y * y) * z,(y * y) * z). [para(3092(a,1),11581(a,1,2))]. given #10981 (H,wt=25): 11594 L(x,(y * y) * z,(y * y) * z) = L(x,y * (z * y),y * (z * y)). [para(3092(a,1),11584(a,1,3)),flip(a)]. given #10982 (H,wt=25): 11595 L(x,y * (z * y),y * (z * y)) = L(x,y * (y * z),y * (y * z)). [hyper(58,a,9233,a(flip),b,11594,a),flip(a)]. given #10983 (H,wt=24): 11596 L(x * (y * x),x * (x * y),x * (x * y)) = ((x * y) \ 1) \ x. [hyper(58,a,4605,a(flip),b,11595,a),flip(a)]. given #10984 (H,wt=30): 11366 T((x * K(y,y \ 1)) * z,x * K(y,y \ 1)) = L(z,x,x) * (K(y,y \ 1) * x). [para(11365(a,1),3142(a,1,1)),flip(a)]. given #10985 (H,wt=30): 11394 T(x,a(y,z,K(u,w)) * (v5 * (a(y,z,u) * v6))) = T(x,v5 * (T(a(y,z,u),w) * v6)). [para(10282(a,2),11373(a,1,2,1))]. given #10986 (H,wt=23): 11598 T(x,y * (T(a(z,u,w),v5) * v6)) = T(x,y * (a(z,u,w) * v6)). [hyper(58,a,11411,a(flip),b,11394,a),flip(a)]. given #10987 (H,wt=30): 11455 T(L(x,y \ z,y \ z),K(u,z * (y \ (z / y)))) = T(x,T(z * (y \ (z / y)),u)). [para(11452(a,1),5485(a,1,1))]. given #10988 (H,wt=29): 11600 T(L(x,y \ z,y \ z),a(u,y \ z,y \ z)) = T(x,T(z * (y \ (z / y)),u)). [para(11456(a,1),11455(a,1,2))]. given #10989 (H,wt=20): 11601 T(x,T(y * (z \ (y / z)),u)) = L(x,z \ y,z \ y). [hyper(5601,a,11600,a),flip(a)]. given #10990 (H,wt=21): 11604 L(x,y \ z,y \ z) != u | T(x,z * (y \ (z / y))) = u. [para(11601(a,1),5731(a,1))]. given #10991 (H,wt=23): 11602 T(x,T(y * (z \ (y / z)),u)) != w | L(x,z \ y,z \ y) = w. [para(11600(a,1),5601(a,1))]. given #10992 (H,wt=30): 11557 K(x,(((K(y,z) * u) * w) \ (u * (w * v5))) * K(z,y)) = K(x,L(v5,w,K(y,z) * u)). [para(13(a,2),11556(a,1,2)),flip(a)]. given #10993 (H,wt=22): 11605 K(x,L(y,z,K(u,w) * v5)) = K(x,(v5 * z) \ (v5 * (z * y))). [hyper(58,a,11548,a(flip),b,11557,a),flip(a)]. given #10994 (H,wt=17): 11607 K(x,L(y,z,K(u,w) * v5)) = K(x,L(y,z,v5)). [para(13(a,2),11605(a,2,2))]. given #10995 (H,wt=30): 11588 L(x \ ((y * (z * z)) / x),z * (x \ z),z * (x \ z)) = (x \ y) / (z \ (z \ x)). [hyper(58,a,10133,a(flip),b,11587,a),flip(a)]. given #10996 (H,wt=30): 11609 x \ (L(y * (z * z),z * (x \ z),z * (x \ z)) / x) = (x \ y) / (z \ (z \ x)). [hyper(58,a,9493,a(flip),b,11588,a)]. given #10997 (H,wt=30): 11610 x \ ((y * (y * L(z,y * (x \ y),y * (x \ y)))) / x) = (x \ z) / (y \ (y \ x)). [para(5959(a,1),11609(a,1,2,1))]. given #10998 (H,wt=31): 11128 K(x,y) * T(K(y,K(x,z)) * (u * K(y,x)),w) = T(K(y,x) * u,w) * K(x,T(y,z)). [hyper(58,a,6553,a,b,11127,a)]. given #10999 (H,wt=27): 11611 T(K(x,y) * z,u) * K(y,T(x,w)) = K(y,x) * T(z * K(x,T(y,w)),u). [para(10894(a,1),11128(a,1,2,1)),flip(a)]. given #11000 (H,wt=27): 11612 K(x,T(y,z)) * T(u * K(y,x),w) = K(x,y) * T(u * K(y,T(x,z)),w). [hyper(58,a,10924,a(flip),b,11611,a)]. given #11001 (H,wt=31): 11132 L(x,y,z * (((u \ w) * v5) * T(v6,(w \ u) \ v5))) = L(x,y,z * (v6 * ((w \ u) \ v5))). [para(98(a,1),11131(a,1,3,2)),flip(a)]. given #11002 (H,wt=31): 11178 T(x,T((((1 / y) * z) \ 1) * u,z \ 1)) = T(x,T(u,y \ 1) * ((y \ 1) \ (z \ 1))). [para(4133(a,1),11170(a,1,2,1,1))]. given #11003 (H,wt=29): 11614 T(x,T((((1 / y) * z) \ 1) * u,z)) = T(x,T(u,y \ 1) * ((y \ 1) \ (z \ 1))). [hyper(6005,a,11178,a)]. given #11004 (H,wt=27): 11615 T(x,T(((1 / y) * z) \ u,z)) = T(x,T(u,y \ 1) * ((y \ 1) \ (z \ 1))). [hyper(6509,a,11614,a)]. given #11005 (H,wt=25): 11616 T(x,T((y \ z) * u,y)) = T(x,T(u,z \ 1) * ((z \ 1) \ (y \ 1))). [hyper(58,a,9791,a(flip),b,11615,a)]. given #11006 (H,wt=21): 11617 T(x,T((y \ z) * u,y)) = T(x,T(u,z \ 1) * (z / y)). [hyper(272,a,8485,a(flip),b,11616,a),flip(a)]. given #11007 (H,wt=19): 11618 T(x,T((y \ z) * u,y)) = T(x,T(u,z) * (z / y)). [hyper(272,a,8474,a(flip),b,11617,a),flip(a)]. given #11008 (H,wt=31): 11245 L(x,(1 / y) * (K(z,u / y) * (w \ 1)),v5) = L(x,K(z,y \ u) * ((1 / y) / w),v5). [para(11244(a,1),9232(a,1,2))]. given #11009 (H,wt=29): 11619 L(x,K(y,z \ u) * ((1 / z) / w),v5) = L(x,(1 / z) * (K(y,u / z) / w),v5). [hyper(58,a,9232,a(flip),b,11245,a),flip(a)]. given #11010 (H,wt=27): 11620 L(x,K(y,z \ u) * ((1 / z) / w),v5) = L(x,z \ (K(y,u / z) / w),v5). [hyper(272,a,9194,a(flip),b,11619,a),flip(a)]. given #11011 (H,wt=25): 11621 L(x,K(y,z \ u) / (w * z),v5) = L(x,z \ (K(y,u / z) / w),v5). [hyper(58,a,10009,a(flip),b,11620,a)]. given #11012 (H,wt=31): 11274 T(x,K(y,z * (u * u)) * ((z * (u * u)) * w)) = T(x,T(w,z) * T((z * u) * u,y)). [hyper(58,a,9183,a(flip),b,11272,a)]. given #11013 (H,wt=25): 11622 T(x,T(y,z) * T((z * u) * u,w)) = T(x,T(z * (u * u),w) * y). [hyper(58,a,5774,a(flip),b,11274,a),flip(a)]. given #11014 (H,wt=25): 11623 T(x,T(y,z) * T(z * (u * u),w)) = T(x,T(z * (u * u),w) * y). [hyper(58,a,11273,a(flip),b,11622,a)]. given #11015 (H,wt=31): 11301 L(x,T(1 / y,z) \ 1,T(y,z) \ (u \ (T(y,z) \ 1))) = R(x,u,T(1 / y,z) \ 1). [hyper(58,a,8981,a(flip),b,10535,a)]. given #11016 (H,wt=31): 11371 T(T(x,y * (z \ K(u,w))),K(v5,y * (K(u,w) / z))) = T(x,T(y * (K(u,w) / z),v5)). [para(11327(a,1),5485(a,1,1))]. given #11017 (H,wt=31): 11435 T(x,y * (((z \ 1) * u) \ (K(w,v5) * 1))) = T(x,y * (K(w,v5) * ((u \ 1) / (1 / z)))). [para(4150(a,2),11383(a,2,2,2,2))]. given #11018 (H,wt=29): 11625 T(x,y * (K(z,u) * ((w \ 1) / (1 / v5)))) = T(x,y * (((v5 \ 1) * w) \ K(z,u))). [para(3(a,1),11435(a,1,2,2,2)),flip(a)]. given #11019 (H,wt=31): 11469 T(x,(y * (((1 / z) * u) * ((z / y) \ 1))) * w) = T(x,(y / z) * (u * ((y / z) * w))). [hyper(58,a,10121,a,b,11468,a)]. given #11020 (H,wt=31): 11481 T(T(x,y * (z \ (y * u))),K(w,(y * (z \ y)) * u)) = T(x,T((y * (z \ y)) * u,w)). [para(11475(a,1),5485(a,1,1))]. given #11021 (H,wt=31): 11574 L(x,y * (T(z,u) * w),y * (K(z,u) * (z * w))) = L(x,y * (z * w),y * (z * w)). [para(2750(a,1),11573(a,1,2,2))]. given #11022 (H,wt=29): 11627 L(x,y * (T(z,u) * w),y * (T(z,u) * w)) = L(x,y * (z * w),y * (z * w)). [para(2750(a,1),11574(a,1,3,2))]. given #11023 (H,wt=31): 11613 L(x,y,z * (((u \ w) * v5) * T(v6,(u \ w) * v5))) = L(x,y,z * (v6 * ((w \ u) \ v5))). [para(8614(a,1),11132(a,1,3,2,2))]. given #11024 (H,wt=25): 11629 L(x,y,z * (u * ((w \ v5) \ v6))) = L(x,y,z * (u * ((v5 \ w) * v6))). [para(98(a,1),11613(a,1,3,2)),flip(a)]. given #11025 (H,wt=23): 11630 L(x,y,z * (u * ((w \ 1) * v5))) = L(x,y,z * (u * (w \ v5))). [para(60(a,1),11629(a,1,3,2,2,1)),flip(a)]. given #11026 (H,wt=25): 11631 L(x,y,z * (u * (((w \ 1) \ 1) \ v5))) = L(x,y,z * (u * (w \ v5))). [hyper(58,a,9054,a,b,11630,a)]. given #11027 (H,wt=29): 11633 L(x,y,z * (u * (((w \ 1) \ (v5 \ 1)) \ v6))) = L(x,y,z * (u * ((w / v5) \ v6))). [para(4191(a,1),11631(a,1,3,2,2,1))]. given #11028 (H,wt=29): 11634 L(x,y,z * (u * (((w \ 1) \ (v5 \ 1)) * v6))) = L(x,y,z * (u * ((v5 / w) \ v6))). [hyper(58,a,11629,a(flip),b,11633,a)]. given #11029 (H,wt=31): 11624 T(T(x,y * (z \ K(u,w))),K(v5,y * (z \ K(u,w)))) = T(x,T(y * (K(u,w) / z),v5)). [para(11343(a,1),11371(a,1,2))]. given #11030 (H,wt=23): 11635 T(x,T(y * (K(z,u) / w),v5)) = T(x,T(y * (w \ K(z,u)),v5)). [hyper(5497,a,11624,a),flip(a)]. given #11031 (H,wt=23): 11636 T(x,T(y / (z * K(u,w)),v5)) = T(x,T(y * (z \ K(u,w)),v5)). [hyper(58,a,9496,a,b,11635,a)]. given #11032 (H,wt=31): 11626 T(T(x,y * (z \ (y * u))),K(w,y * (z \ (y * u)))) = T(x,T((y * (z \ y)) * u,w)). [para(11390(a,1),11481(a,1,2))]. given #11033 (H,wt=23): 11637 T(x,T((y * (z \ y)) * u,w)) = T(x,T(y * (z \ (y * u)),w)). [hyper(5497,a,11626,a),flip(a)]. given #11034 (H,wt=28): 11638 T(x,T(y * (z \ (y * (u \ 1))),w)) != v5 | T(x,T((y * (z \ y)) / u,w)) = v5. [para(11637(a,1),9729(a,1))]. given #11035 (H,wt=31): 11632 L(x,y,z * (u * (((w \ 1) \ (v5 \ 1)) * v6))) = L(x,y,z * (u * (((w / v5) \ 1) \ v6))). [para(4191(a,1),11630(a,1,3,2,2,1))]. given #11036 (H,wt=29): 11639 L(x,y,z * (u * (((w \ 1) \ (v5 \ 1)) * v6))) = L(x,y,z * (u * ((w / v5) * v6))). [hyper(272,a,9054,a(flip),b,11632,a),flip(a)]. given #11037 (H,wt=25): 11640 L(x,y,z * (u * ((w / v5) \ v6))) = L(x,y,z * (u * ((v5 / w) * v6))). [hyper(58,a,11634,a(flip),b,11639,a)]. given #11038 (H,wt=27): 11641 L(x,y,z * (u * ((w / v5) \ (v6 \ 1)))) = L(x,y,z * (u * ((v5 / w) / v6))). [hyper(272,a,9056,a(flip),b,11640,a),flip(a)]. given #11039 (H,wt=25): 11642 L(x,y,z * (u / (w * (v5 / v6)))) = L(x,y,z * (u * ((v6 / v5) / w))). [hyper(58,a,9345,a(flip),b,11641,a)]. given #11040 (H,wt=32): 10466 L(x,y \ (z \ (1 / u)),y \ (z \ (1 / u))) = T(x,y \ ((u * z) \ (y \ (z \ (1 / u))))). [hyper(58,a,9868,a(flip),b,10464,a),flip(a)]. given #11041 (H,wt=32): 10763 L(x,y \ (1 / y),K(z,u)) * ((y \ 1) * (y \ K(z,u))) = (x * (y \ (1 / y))) * K(z,u). [para(3787(a,1),10706(a,1,2))]. given #11042 (H,wt=32): 10977 (x * (K(y,K(z,u)) * w)) \ (x * (K(y,K(z,u)) * (w * v5))) = L(v5,K(y,K(z,u)) * w,x). [para(10968(a,1),427(a,2,1))]. given #11043 (H,wt=32): 11555 K(x,K(y,z) * ((u * (w * (K(y,z) * v5))) \ ((u * w) * v5))) = K(x,a(u,w,K(y,z) * v5)). [para(9(a,2),11553(a,1,2)),flip(a)]. given #11044 (H,wt=32): 11582 (x * (y * (x \ z))) * ((x \ (x * (y * (x \ z)))) \ 1) = L(x,(x * y) * z,(x * y) * z). [hyper(58,a,7692,a,b,11581,a)]. given #11045 (H,wt=28): 11648 (x * (y * (x \ z))) * ((y * (x \ z)) \ 1) = L(x,(x * y) * z,(x * y) * z). [para(4(a,1),11582(a,1,2,1))]. given #11046 (H,wt=25): 11649 L(x,(x * y) * z,(x * y) * z) = L(x,y * (x \ z),y * (x \ z)). [hyper(2026,a,11648,a),flip(a)]. given #11047 (H,wt=32): 11643 L(x,y \ (y \ (1 / y)),y \ (y \ (1 / y))) = T(x,y \ ((y * y) \ ((y * y) \ (y \ 1)))). [para(3561(a,2),10466(a,2,2,2,2))]. given #11048 (H,wt=32): 11644 L(x,y \ (y \ 1),K(z,u)) * ((y \ 1) * (y \ K(z,u))) = (x * (y \ (1 / y))) * K(z,u). [para(2466(a,1),10763(a,1,1))]. given #11049 (H,wt=23): 11652 (x * (y \ (1 / y))) * K(z,u) = x * ((y \ 1) * (y \ K(z,u))). [para(10716(a,1),11644(a,1,1)),flip(a)]. given #11050 (H,wt=23): 11653 x * ((y \ 1) * (y \ K(z,y \ 1))) = (x / y) * T(1 / y,z). [hyper(58,a,6412,a(flip),b,11652,a),flip(a)]. given #11051 (H,wt=21): 11654 x * ((y \ 1) * T(y \ 1,z)) = (x / y) * T(1 / y,z). [para(2653(a,1),11653(a,1,2,2))]. given #11052 (H,wt=19): 11655 (x / y) * T(1 / y,z) = x * (y \ T(1 / y,z)). [para(756(a,1),11654(a,1,2)),flip(a)]. given #11053 (H,wt=20): 11656 (1 / x) * T(1 / x,y) != z | x \ T(1 / x,y) = z. [para(11655(a,2),115(a,1))]. given #11054 (H,wt=21): 11657 T(x,y * (z \ T(1 / z,u))) = T(x,z \ (T(z,u) \ y)). [para(11655(a,1),11122(a,1,2))]. given #11055 (H,wt=19): 11658 T(x,y / (T(z,u) * z)) = T(x,z \ (T(z,u) \ y)). [hyper(58,a,9618,a(flip),b,11657,a)]. given #11056 (H,wt=19): 11659 T(x,y / (z * T(z,u))) = T(x,z \ (T(z,u) \ y)). [para(218(a,1),11658(a,1,2,2))]. given #11057 (H,wt=21): 11660 T(x,y * ((z * (u * z)) \ u)) = T(x,z \ (T(z,u) \ y)). [hyper(58,a,9694,a,b,11659,a)]. given #11058 (H,wt=32): 11645 K(x,K(y,z)) * ((u * (K(x,K(y,z)) * w)) \ (u * (w * v5))) = L(v5,K(x,K(y,z)) * w,u). [hyper(58,a,10961,a(flip),b,10977,a)]. given #11059 (H,wt=32): 11646 K(x,K(y,z) * ((u * (w * (K(y,z) * v5))) \ ((u * w) * v5))) = a(x,w,K(K(y,z) * v5,u)). [hyper(272,a,10584,a,b,11555,a),flip(a)]. given #11060 (H,wt=32): 11651 L(x,y \ (y \ (1 / y)),y \ (y \ (1 / y))) = T(x,y \ (y \ (y \ (y \ (y \ (y \ 1)))))). [para(3633(a,1),11643(a,2,2,2))]. given #11061 (H,wt=32): 11661 K(x,K(y,z)) * (K(x,K(y,z)) * ((u * w) \ (u * (w * v5)))) = L(v5,K(x,K(y,z)) * w,u). [para(11521(a,1),11645(a,1,2))]. given #11062 (H,wt=27): 11663 K(x,K(y,z)) * (K(x,K(y,z)) * L(u,w,v5)) = L(u,K(x,K(y,z)) * w,v5). [para(13(a,2),11661(a,1,2,2))]. given #11063 (H,wt=15): 11664 L(x,K(y,K(z,u)) * w,v5) = L(x,w,v5). [hyper(3919,a,11663,a),flip(a)]. given #11064 (H,wt=13): 11666 L(x,T(y,K(z,u)),w) = L(x,y,w). [para(890(a,2),11664(a,1,2))]. given #11065 (H,wt=15): 11667 L(x,y * K(z,K(u,w)),v5) = L(x,y,v5). [para(5225(a,1),11664(a,1,2))]. given #11066 (H,wt=15): 11668 L(x,K(y,T(z,u)),w) = L(x,K(y,z),w). [para(5240(a,1),11664(a,1,2))]. given #11067 (H,wt=15): 11675 L(x,K(y,T(z,u)),w) = L(x,z,K(w,y)). [hyper(272,a,10745,a(flip),b,11668,a),flip(a)]. given #11068 (H,wt=15): 11676 L(x,T(y,z),K(u,w)) = L(x,y,K(u,w)). [hyper(58,a,10745,a(flip),b,11675,a)]. given #11069 (H,wt=15): 11677 L(x,y,K(T(z,u),w)) = L(x,z,K(y,w)). [hyper(58,a,10727,a,b,11676,a)]. given #11070 (H,wt=15): 11678 L(x,y,K(z,T(u,w))) = L(x,z,K(y,u)). [para(5239(a,1),11677(a,1,3))]. given #11071 (H,wt=17): 11669 L(x,T(y,K(z,u)) / w,v5) = L(x,y / w,v5). [para(5591(a,1),11664(a,1,2))]. given #11072 (H,wt=17): 11672 L(x,K(y,z) / u,w) = L(x,u \ K(y,z),w). [hyper(58,a,9990,a(flip),b,11666,a)]. given #11073 (H,wt=17): 11680 L(x,y / z,T(z,u)) = L(x,z \ y,T(z,u)). [hyper(58,a,9010,a(flip),b,11669,a),flip(a)]. given #11074 (H,wt=19): 11670 L(x,y * (K(z,K(u,w)) * v5),v6) = L(x,y * v5,v6). [para(10901(a,1),11664(a,1,2))]. given #11075 (H,wt=19): 11681 L(x,K(y,z) * (u / y),w) = L(x,u / T(y,z),w). [para(5483(a,1),11669(a,1,2))]. given #11076 (H,wt=17): 11685 L(x,y / T(z,u),z) = L(x,T(z,u) \ y,z). [hyper(58,a,9011,a(flip),b,11681,a),flip(a)]. given #11077 (H,wt=21): 11684 L(x,y * (z \ T(u,K(w,v5))),v6) = L(x,y * (z \ u),v6). [para(4500(a,1),11670(a,1,2,2))]. given #11078 (H,wt=22): 11679 L(x,y,K(z,u)) * (K(y,u) * z) = (x * z) * K(y,T(u,z)). [para(11678(a,1),10764(a,1,1))]. given #11079 (H,wt=23): 11673 L(x,(K(y,T(z,u)) * w) \ v5,v6) = L(x,(K(y,z) * w) \ v5,v6). [para(11519(a,1),11667(a,1,2))]. given #11080 (H,wt=23): 11687 L(x,(K(y,T(z,u)) * w) \ v5,v6) = L(x,(w \ K(y,z)) * v5,v6). [hyper(272,a,9220,a(flip),b,11673,a),flip(a)]. given #11081 (H,wt=21): 11688 L(x,(y * K(z,u)) \ w,v5) = L(x,(y \ K(z,u)) * w,v5). [para(5252(a,1),11687(a,1,2,1))]. given #11082 (H,wt=25): 11671 L(x,T((K(y,z) * u) \ w,K(v5,v6)),v7) = L(x,(u \ K(y,z)) * w,v7). [hyper(272,a,9220,a(flip),b,11666,a),flip(a)]. given #11083 (H,wt=25): 11682 L(x,(y * z) \ K(u,z \ w),v5) = L(x,z \ (K(u,w / z) / y),v5). [hyper(58,a,11621,a(flip),b,11672,a),flip(a)]. given #11084 (H,wt=23): 11690 L(x,y \ (K(z,1 / y) / u),w) = L(x,y \ (u \ K(y,z)),w). [hyper(58,a,10080,a(flip),b,11682,a),flip(a)]. given #11085 (H,wt=23): 11691 L(x,y \ (K(z,y \ 1) / u),w) = L(x,y \ (u \ K(y,z)),w). [para(2369(a,1),11690(a,1,2,2,1))]. given #11086 (H,wt=25): 11689 L(x,K(y,z) * (u \ T(w,K(y,z))),v5) = L(x,(u \ K(y,z)) * w,v5). [para(11527(a,1),11671(a,1,2))]. given #11087 (H,wt=21): 11692 L(x,(y \ K(z,u)) * w,v5) = L(x,K(z,u) * (y \ w),v5). [hyper(58,a,11684,a(flip),b,11689,a),flip(a)]. given #11088 (H,wt=21): 11694 L(x,(y * K(z,u)) \ w,v5) = L(x,K(z,u) * (y \ w),v5). [hyper(58,a,11688,a,b,11692,a)]. given #11089 (H,wt=32): 11662 L(x,((1 / y) \ y) * y,((1 / y) \ y) * y) = T(x,y \ (y \ (y \ (y \ (y \ (y \ 1)))))). [hyper(58,a,10037,a(flip),b,11651,a)]. given #11090 (H,wt=30): 11695 T(x,y \ (y \ (y \ (y \ (y \ (y \ 1)))))) = L(x,y * (y * y),((1 / y) \ y) * y). [para(366(a,1),11662(a,1,2)),flip(a)]. given #11091 (H,wt=28): 11696 T(x,y \ (y \ (y \ (y \ (y \ (y \ 1)))))) = L(x,y * (y * y),y * (y * y)). [para(366(a,1),11695(a,2,3))]. given #11092 (H,wt=20): 11697 T(x,y \ (y \ (y \ (y \ (y \ (y \ 1)))))) = L(x,y,y). [hyper(272,a,7178,a(flip),b,11696,a),flip(a)]. given #11093 (H,wt=33): 11281 T(T(a(x,y,z),T(u,w \ 1)),K(v5,v6)) != v7 * T(T(a(x,y,z),w),u) | a(x,y,K(z,w)) = v7. [para(11067(a,2),39(a,1))]. given #11094 (H,wt=33): 11433 T(x,y * K(z,u)) \ T(y * T(T(x,y * K(z,u)),K(z,u)),K(z,u)) = T(y,x * K(z,u)). [hyper(58,a,11303,a,b,11432,a)]. given #11095 (H,wt=33): 11483 T(x,T(y,z) * ((((1 / y) * u) * K(y,z)) * w)) = T(x,(T(y,z) * T(u,y)) * (T(y,z) \ w)). [para(3996(a,2),11482(a,2,2,2,1)),flip(a)]. given #11096 (H,wt=33): 11538 L(x,T(T(y,z),u) * (z \ 1),T(T(y,z),u) * (z \ 1)) = L(x,z \ y,T(y,z) * (z \ 1)). [para(676(a,1),11536(a,2,2))]. given #11097 (H,wt=29): 11701 L(x,y \ T(z,u),T(T(z,y),u) * (y \ 1)) = L(x,y \ z,T(z,y) * (y \ 1)). [para(681(a,1),11538(a,1,2))]. given #11098 (H,wt=25): 11702 L(x,y \ T(z,u),y \ T(z,u)) = L(x,y \ z,T(z,y) * (y \ 1)). [para(681(a,1),11701(a,1,3))]. given #11099 (H,wt=21): 11703 L(x,y \ T(z,u),y \ T(z,u)) = L(x,y \ z,y \ z). [para(676(a,1),11702(a,2,3))]. given #11100 (H,wt=31): 11704 L(x,(y \ (1 / z)) * u,(((y * z) * z) \ z) * u) = L(x,u \ (y * z),u \ (y * z)). [hyper(58,a,10137,a,b,11703,a)]. given #11101 (H,wt=29): 11706 L(x,(y \ (1 / z)) * u,(y \ (1 / z)) * u) = L(x,u \ (y * z),u \ (y * z)). [para(4623(a,1),11704(a,1,3,1))]. given #11102 (H,wt=27): 11707 L(x,(y \ (1 / z)) * u,(z * y) \ u) = L(x,u \ (y * z),u \ (y * z)). [hyper(58,a,9126,a(flip),b,11706,a)]. given #11103 (H,wt=25): 11708 L(x,(y * z) \ u,(y * z) \ u) = L(x,u \ (z * y),u \ (z * y)). [hyper(58,a,10058,a(flip),b,11707,a)]. given #11104 (H,wt=33): 11699 T(x,y * K(z,u)) \ T(y * T(T(x,K(z,u)),y * K(z,u)),K(z,u)) = T(y,x * K(z,u)). [para(18(a,1),11433(a,1,2,1,2))]. given #11105 (H,wt=27): 11712 T(x,y * K(z,u)) \ (T(x,K(z,u)) * T(y,K(z,u))) = T(y,x * K(z,u)). [para(11395(a,1),11699(a,1,2))]. given #11106 (H,wt=27): 11713 K(x,K(y,z)) * (K(u * K(y,z),x) * T(u,K(y,z))) = T(u,x * K(y,z)). [hyper(6522,a,11712,a)]. given #11107 (H,wt=27): 11714 K(x,K(y,z)) * T(K(u * K(y,z),x) * u,K(y,z)) = T(u,x * K(y,z)). [para(11447(a,2),11713(a,1,2))]. given #11108 (H,wt=27): 11715 K(x,K(y,z)) * T(u * K(K(y,z) * u,x),K(y,z)) = T(u,x * K(y,z)). [para(6088(a,1),11714(a,1,2,1))]. given #11109 (H,wt=25): 11716 K(x,K(y,z)) * (K(y,z) \ T(u * K(y,z),x)) = T(u,x * K(y,z)). [para(5721(a,1),11715(a,1,2))]. given #11110 (H,wt=25): 11717 K(x,K(y,z)) * (K(z,y) * T(u * K(y,z),x)) = T(u,x * K(y,z)). [para(3882(a,1),11716(a,1,2))]. given #11111 (H,wt=21): 11718 K(x,T(y,z)) * T(u * K(y,x),z) = T(u,z * K(y,x)). [hyper(58,a,5804,a(flip),b,11717,a)]. given #11112 (H,wt=21): 11719 K(x,y) * T(z * K(y,T(x,u)),u) = T(z,u * K(y,x)). [hyper(58,a,11612,a(flip),b,11718,a)]. given #11113 (H,wt=21): 11720 T(x * K(y,T(z,u)),u) = K(y,z) * T(x,u * K(y,z)). [hyper(3894,a,11719,a),flip(a)]. given #11114 (H,wt=24): 11721 (x * (y * K(z,u))) / T(x * K(z,T(u,y)),y) = R(y,K(z,u),x). [para(11720(a,2),8124(a,2,2)),flip(a)]. given #11115 (H,wt=13): 11722 R(x,K(y,z),u) = L(x,K(y,z),u). [hyper(58,a,8862,a(flip),b,11721,a),flip(a)]. given #11116 (H,wt=20): 11724 L(x,K(y,z),u) * (K(y,z) * u) = (x * K(y,z)) * u. [para(11722(a,1),93(a,1,1))]. given #11117 (H,wt=20): 11725 L(x,y,K(z,u)) * (K(y,u) * z) = (x * K(y,u)) * z. [para(10744(a,1),11724(a,1,1))]. given #11118 (H,wt=17): 11726 (x * y) * K(z,T(u,y)) = (x * K(z,u)) * y. [hyper(58,a,11679,a(flip),b,11725,a)]. given #11119 (H,wt=23): 11728 T(x,y * ((z * K(u,w)) * v5)) = T(x,y * (K(u,w) * (z * v5))). [para(11726(a,1),11382(a,1,2,2))]. given #11120 (H,wt=24): 11723 ((x * (x * K(y,z))) * u) / (K(y,z) * u) = L(x * x,K(y,z),u). [hyper(58,a,5672,a,b,11722,a)]. given #11121 (H,wt=24): 11731 ((x * x) * (K(y,z) * u)) / (K(y,z) * u) = L(x * x,K(y,z),u). [para(11113(a,1),11723(a,1,1))]. given #11122 (H,wt=12): 11732 L(x * x,K(y,z),u) = x * x. [hyper(279,a,11731,a),flip(a)]. given #11123 (H,wt=12): 11734 L(x * x,y,K(z,u)) = x * x. [hyper(58,a,11675,a(flip),b,11732,a)]. given #11124 (H,wt=19): 11735 ((x * x) * y) * K(z,u) = (x * x) * (y * K(z,u)). [para(11734(a,1),10706(a,1,1)),flip(a)]. given #11125 (H,wt=12): 11736 K(x,L(y,z,u * u)) = K(x,y). [hyper(8260,a,11735,a)]. given #11126 (H,wt=12): 11738 K(x,L(y,z * z,u)) = K(x,y). [hyper(10685,a,11736,a)]. given #11127 (H,wt=19): 11739 K(x,y / ((z * z) * u)) = K(x,z \ (z \ (y / u))). [hyper(58,a,10629,a(flip),b,11738,a)]. given #11128 (H,wt=19): 11741 K(x,y / (z * (u * u))) = K(x,u \ (u \ (y / z))). [hyper(58,a,9472,a(flip),b,11739,a)]. given #11129 (H,wt=19): 11742 K(x,y / (z * (z * u))) = K(x,z \ (z \ (y / u))). [para(2956(a,1),11741(a,1,2,2))]. given #11130 (H,wt=21): 11737 (x * x) * (((1 / x) * y) * K(z,u)) = (x * y) * K(z,u). [para(3352(a,1),11735(a,1,1)),flip(a)]. given #11131 (H,wt=19): 11744 x * ((y * (K(z,u) * x)) / x) = (x * y) * K(z,u). [hyper(6595,a,11737,a)]. given #11132 (H,wt=19): 11745 ((x * y) * K(z,u)) / x = x \ (y * (K(z,u) * x)). [hyper(113,a,11744,a(flip),b,2828,a)]. given #11133 (H,wt=19): 11746 x * (x * ((x \ y) * K(z,u))) = (x * y) * K(z,u). [para(5590(a,1),11744(a,1,2))]. given #11134 (H,wt=19): 11748 x \ ((x * y) * K(z,u)) = x * ((x \ y) * K(z,u)). [hyper(117,a,11746,a)]. given #11135 (H,wt=22): 11750 (x * ((x \ y) * K(z,u))) / x = L(y,x,x) * (K(z,u) / x). [hyper(113,a,11748,a(flip),b,3121,a)]. given #11136 (H,wt=23): 11747 (x * (y * (y * K(z,u)))) / y = y \ ((y * x) * (K(z,u) * y)). [hyper(58,a,11240,a(flip),b,11745,a)]. given #11137 (H,wt=22): 11752 (x * (y * (y * K(z,u)))) / y = (L(x,y,y) * K(z,u)) * y. [hyper(272,a,3140,a(flip),b,11747,a),flip(a)]. given #11138 (H,wt=21): 11753 (x * (y * (y * K(z,u)))) / y = T(y * (x * K(z,u)),y). [hyper(272,a,5964,a(flip),b,11752,a),flip(a)]. given #11139 (H,wt=19): 11754 x \ (y * (x * (x * K(z,u)))) = x * (y * K(z,u)). [hyper(2830,a,11753,a(flip))]. given #11140 (H,wt=21): 11755 ((1 / x) * y) * (K(z,u) * x) = (x * (y * K(z,u))) / x. [para(11754(a,1),5679(a,1,1)),flip(a)]. given #11141 (H,wt=19): 11756 ((1 / x) * y) * (K(z,u) * x) = T(y * K(z,u),x). [hyper(272,a,2774,a,b,11755,a),flip(a)]. given #11142 (H,wt=21): 11757 ((x * x) \ y) * (K(z,u) * x) = T((x \ y) * K(z,u),x). [para(3261(a,1),11756(a,1,1))]. given #11143 (H,wt=23): 11751 L(x,y,y) * (K(z,u) / y) != w | T((y \ x) * K(z,u),y) = w. [para(11750(a,1),2785(a,1))]. given #11144 (H,wt=25): 11743 K(x,y \ (y \ (z / u))) * (x * w) = T(x,z / (y * (y * u))) * w. [para(11742(a,1),2750(a,1,1))]. given #11145 (H,wt=19): 11758 T(x,y / (z * (z * u))) = T(x,z \ (z \ (y / u))). [hyper(3213,a,11743,a),flip(a)]. given #11146 (H,wt=19): 11760 T(x,y / ((z * u) * u)) = T(x,u \ (u \ (y / z))). [hyper(58,a,9479,a,b,11758,a)]. given #11147 (H,wt=25): 11762 T(x,(y \ 1) \ ((y \ 1) \ (z / u))) = T(x,z / (u * (y \ (1 / y)))). [para(3027(a,1),11758(a,1,2,2)),flip(a)]. given #11148 (H,wt=25): 11765 T(x,y * ((y \ z) * (y \ (1 / u)))) = T(x,y \ (y \ ((z * y) / u))). [hyper(58,a,11477,a,b,11760,a)]. given #11149 (H,wt=26): 11749 x \ ((x * y) * K(z,u)) != w * v5 | (x * ((x \ y) * K(z,u))) / v5 = w. [para(11746(a,1),499(a,1,2))]. given #11150 (H,wt=27): 11729 T(x,y * ((T(z,u) / T(u,w)) * v5)) = T(x,y * (K(u,w) * ((u \ z) * v5))). [hyper(58,a,8663,a,b,11728,a)]. given #11151 (H,wt=27): 11761 T(x,T(y,z) \ (T(y,z) \ (u / (z \ 1)))) = T(x,u / (T(y,z) * (z \ y))). [para(676(a,1),11758(a,1,2,2,2)),flip(a)]. given #11152 (H,wt=25): 11767 T(x,T(y,z) \ (T(y,z) \ (u / (z \ 1)))) = T(x,u / (z \ (y * y))). [para(4077(a,1),11761(a,2,2,2))]. given #11153 (H,wt=25): 11768 T(x,T(y,z) \ (T(y,z) \ (u / (z \ 1)))) = T(x,u * ((y * y) \ z)). [hyper(272,a,9690,a(flip),b,11767,a),flip(a)]. given #11154 (H,wt=25): 11769 T(x,T(y,z) \ (T(y,z) \ (u / (z \ 1)))) = T(x,u * (y \ (y \ z))). [hyper(272,a,8479,a(flip),b,11768,a),flip(a)]. given #11155 (H,wt=21): 11770 T(x,y \ (y \ (z / (u \ 1)))) = T(x,z * (y \ (y \ u))). [para(3947(a,1),11769(a,1,2))]. given #11156 (H,wt=19): 11771 T(x,y \ (y \ (z * u))) = T(x,z * (y \ (y \ u))). [hyper(58,a,9621,a(flip),b,11770,a)]. given #11157 (H,wt=21): 11773 x \ T(x,y * (z \ (z \ u))) = K(x,z \ (z \ (y * u))). [hyper(112,a,11771,a(flip),b,2674,a(flip))]. given #11158 (H,wt=19): 11774 K(x,y \ (y \ (z * u))) = K(x,z * (y \ (y \ u))). [hyper(2691,a,11773,a),flip(a)]. given #11159 (H,wt=24): 11775 K(x,(y * z) * (y \ (y \ u))) != w | K(x,T(z * (u / y),y)) = w. [para(11774(a,1),8827(a,1))]. given #11160 (H,wt=27): 11766 T(x,(y \ 1) \ ((y \ 1) \ (z / (1 / u)))) = T(x,z / (y \ (1 / (u * y)))). [para(4975(a,1),11762(a,2,2,2))]. given #11161 (H,wt=27): 11776 T(x,(y \ 1) \ ((y \ 1) \ (z / (1 / u)))) = T(x,z * ((1 / (u * y)) \ y)). [hyper(272,a,9690,a(flip),b,11766,a),flip(a)]. given #11162 (H,wt=25): 11777 T(x,(y \ 1) \ ((y \ 1) \ (z / (1 / u)))) = T(x,z * ((u * y) * y)). [hyper(272,a,8518,a(flip),b,11776,a),flip(a)]. given #11163 (H,wt=25): 11778 T(x,(y \ 1) \ ((y \ 1) \ (z / (1 / u)))) = T(x,z * (y * (y * u))). [hyper(272,a,8521,a(flip),b,11777,a),flip(a)]. given #11164 (H,wt=23): 11779 T(x,(y / (1 / z)) * ((1 / u) \ u)) = T(x,y * (u * (u * z))). [para(4391(a,1),11778(a,1,2))]. given #11165 (H,wt=21): 11780 T(x,(y / (1 / z)) * (u * u)) = T(x,y * (u * (u * z))). [hyper(58,a,8518,a(flip),b,11779,a)]. given #11166 (H,wt=21): 11781 T(x,y * (y * (z / (1 / u)))) = T(x,z * (y * (y * u))). [para(2956(a,1),11780(a,1,2))]. given #11167 (H,wt=21): 11782 T(x,y * (y * (z * (u / 1)))) = T(x,z * (y * (y * u))). [hyper(58,a,8911,a(flip),b,11781,a)]. given #11168 (H,wt=19): 11783 T(x,y * (z * (z * u))) = T(x,z * (z * (y * u))). [para(70(a,1),11782(a,1,2,2,2,2)),flip(a)]. given #11169 (H,wt=19): 11784 T(x,y * (y * (z * (y \ u)))) = T(x,z * (y * u)). [para(5(a,1),11783(a,1,2,2,2)),flip(a)]. given #11170 (H,wt=19): 11785 T(x,y * (z * (z * (y \ u)))) = T(x,z * (z * u)). [para(5(a,1),11783(a,2,2,2,2))]. given #11171 (H,wt=19): 11787 T(x,y * (y * (z / (u \ y)))) = T(x,z * (y * u)). [hyper(58,a,9603,a,b,11784,a)]. given #11172 (H,wt=19): 11788 T(x,T(y,z * (u \ w))) = T(x,T(y,z * (u * w))). [para(11784(a,1),11214(a,1,2)),flip(a)]. given #11173 (H,wt=21): 11790 T(x,T(y,z * ((1 / u) * w))) = T(x,T(y,z * (u * w))). [para(8480(a,2),11788(a,1,2))]. given #11174 (H,wt=23): 11789 T(x \ y,y * (y * ((x \ y) \ z))) = T(x \ y,z * (y * x)). [hyper(58,a,6350,a(flip),b,11787,a)]. given #11175 (H,wt=23): 11791 T(x \ y,y * (y * ((y \ x) * z))) = T(x \ y,z * (y * x)). [hyper(58,a,9635,a(flip),b,11789,a)]. given #11176 (H,wt=21): 11792 T(x \ y,((1 / y) \ x) * x) = T(x \ y,x * (y * x)). [para(7266(a,1),11791(a,1,2))]. given #11177 (H,wt=21): 11793 T(x \ y,x * (x / (1 / y))) = T(x \ y,x * (y * x)). [hyper(6104,a,11792,a)]. given #11178 (H,wt=19): 11794 T(x \ y,x * (y * x)) = T(x \ y,x * (x * y)). [hyper(58,a,8482,a(flip),b,11793,a),flip(a)]. given #11179 (H,wt=27): 11786 T(x,T(y,z) * (u * (u * T(z,w)))) = T(x,u * (u * (z * (y * K(z,w))))). [para(4716(a,1),11783(a,2,2,2,2))]. given #11180 (H,wt=25): 11795 T(x,T(y,z) * (u * (u * T(z,w)))) = T(x,u * (u * (T(z,w) * y))). [hyper(272,a,11558,a(flip),b,11786,a),flip(a)]. given #11181 (H,wt=28): 11727 T(((x * K(y,z)) * u) \ (K(y,z) * u),K(y,z) * u) = L(x,y,K(u,z)) \ 1. [para(11725(a,1),2767(a,1,1,1))]. given #11182 (H,wt=28): 11764 T(x,y \ (y \ (((z * T(y * u,y)) * y) / u))) = T(x,R(z,T(y * u,y),y)). [para(2846(a,1),11758(a,1,2)),flip(a)]. given #11183 (H,wt=28): 11796 T(x,y \ (y \ (((z * T(y * u,y)) * y) / u))) = T(x,L(z,T(y * u,y),y)). [hyper(272,a,10615,a(flip),b,11764,a),flip(a)]. given #11184 (H,wt=26): 11797 T(x,y \ (y \ (((z * T(y * u,y)) * y) / u))) = T(x,L(z,y * u,y)). [para(9007(a,1),11796(a,2,2))]. given #11185 (H,wt=29): 11730 T(x,y * (K(z,T(u,w)) * ((v5 \ w) * v6))) = T(x,y * (((v5 \ K(z,u)) * w) * v6)). [hyper(58,a,11515,a(flip),b,11728,a),flip(a)]. given #11186 (H,wt=27): 11798 T(x,y * (((z \ K(u,w)) * v5) * v6)) = T(x,y * (K(u,w) * ((z \ v5) * v6))). [hyper(58,a,11350,a(flip),b,11730,a),flip(a)]. given #11187 (H,wt=25): 11800 T(x,y * (K(z,u) * ((z \ w) * v5))) = T(x,y * ((T(z,u) \ w) * v5)). [hyper(58,a,8846,a(flip),b,11798,a),flip(a)]. given #11188 (H,wt=25): 11801 T(x,y * ((T(z,u) / T(u,w)) * v5)) = T(x,y * ((T(u,w) \ z) * v5)). [hyper(58,a,11729,a,b,11800,a)]. given #11189 (H,wt=31): 11763 T(x,y / ((z \ 1) * (z * ((1 / z) / u)))) = T(x,(z \ 1) \ ((z \ 1) \ (y / (z / u)))). [para(4639(a,1),11758(a,1,2,2,2))]. given #11190 (H,wt=31): 11802 T(x,y / (z * ((1 / z) * ((1 / z) / u)))) = T(x,(z \ 1) \ ((z \ 1) \ (y / (z / u)))). [para(3556(a,1),11763(a,1,2,2))]. given #11191 (H,wt=31): 11803 T(x,y / (z * ((z \ 1) * ((z \ 1) / u)))) = T(x,(z \ 1) \ ((z \ 1) \ (y / (z / u)))). [para(5765(a,1),11802(a,1,2,2,2))]. given #11192 (H,wt=28): 11804 T(x,(y \ 1) \ ((y \ 1) \ (z / (y / u)))) = T(x,z / L((y \ 1) / u,y,y)). [para(3109(a,1),11803(a,1,2,2)),flip(a)]. given #11193 (H,wt=27): 11805 T(x,(y \ 1) \ ((y \ 1) \ (z / (y / u)))) = T(x,z / (1 / ((1 / u) \ y))). [para(4789(a,1),11804(a,2,2,2))]. given #11194 (H,wt=25): 11806 T(x,(y \ 1) \ ((y \ 1) \ (z / (y / u)))) = T(x,z * ((1 / u) \ y)). [hyper(272,a,5984,a(flip),b,11805,a),flip(a)]. given #11195 (H,wt=23): 11807 T(x,(y \ 1) \ ((y \ 1) \ (z / (y / u)))) = T(x,z * (u * y)). [hyper(272,a,8518,a(flip),b,11806,a),flip(a)]. given #11196 (H,wt=21): 11808 T(x,(y / (z / u)) * ((1 / z) \ z)) = T(x,y * (u * z)). [para(4391(a,1),11807(a,1,2))]. given #11197 (H,wt=19): 11809 T(x,(y / (z / u)) * (z * z)) = T(x,y * (u * z)). [hyper(58,a,8518,a(flip),b,11808,a)]. given #11198 (H,wt=19): 11810 T(x,y * (y * (z / (y / u)))) = T(x,z * (u * y)). [para(2956(a,1),11809(a,1,2))]. given #11199 (H,wt=19): 11811 T(x,y * (y * (z * (u / y)))) = T(x,z * (u * y)). [hyper(58,a,8911,a(flip),b,11810,a)]. given #11200 (H,wt=17): 11812 T(x,T((y * z) * u,y)) = T(x,z * (u * y)). [hyper(58,a,9922,a(flip),b,11811,a)]. given #11201 (H,wt=15): 11814 T(x,(x * y) * z) = T(x,y * (z * x)). [hyper(5731,a,11812,a)]. given #11202 (H,wt=17): 11817 T(x,(y \ z) * (u * y)) = T(x,T(z * u,y)). [para(5(a,1),11812(a,1,2,1,1)),flip(a)]. given #11203 (H,wt=17): 11820 T(x,T((y / z) * u,y)) = T(x,z \ (u * y)). [hyper(58,a,8617,a(flip),b,11817,a),flip(a)]. given #11204 (H,wt=17): 11821 T(x,T(y,z) * (z \ u)) = T(x,z \ (y * u)). [hyper(11171,a,11820,a)]. given #11205 (H,wt=17): 11826 T(x,y \ (T(z,y) * u)) = T(x,z * (y \ u)). [hyper(58,a,5798,a(flip),b,11821,a),flip(a)]. given #11206 (H,wt=17): 11828 T(x,T(y,z) \ (z * u)) = T(x,z * (y \ u)). [para(3955(a,2),11826(a,1,2))]. given #11207 (H,wt=17): 11830 T(x,y * (z \ (y \ u))) = T(x,T(z,y) \ u). [para(5(a,1),11828(a,1,2,2)),flip(a)]. given #11208 (H,wt=18): 11816 T(x,(y * z) * R(u,y,z)) = T(x,y * (z * u)). [hyper(58,a,11021,a(flip),b,11812,a)]. given #11209 (H,wt=19): 11813 T(x,T(y,z * (u / w))) = T(x,T(y,z * (u * w))). [para(11811(a,1),11214(a,1,2)),flip(a)]. given #11210 (H,wt=19): 11825 T(x,y \ ((y * z) * u)) = T(x,(z * y) * (y \ u)). [hyper(58,a,8565,a(flip),b,11821,a),flip(a)]. given #11211 (H,wt=19): 11827 T(x,y \ (z * (u * y))) = T(x,T(z,y) * T(u,y)). [para(17(a,2),11821(a,1,2,2)),flip(a)]. given #11212 (H,wt=19): 11829 T(x,(y * z) \ (y * u)) = T(x,y * ((z * y) \ u)). [hyper(58,a,11388,a(flip),b,11828,a)]. given #11213 (H,wt=19): 11831 T(x,T(y,z) \ (u * z)) = T(x,z * (y \ T(u,z))). [para(98(a,1),11828(a,1,2,2))]. given #11214 (H,wt=19): 11833 T(x,y \ ((y * z) * u)) = T(x,y * ((y \ z) * u)). [hyper(272,a,11473,a(flip),b,11825,a),flip(a)]. given #11215 (H,wt=19): 11839 T(x,(y * (z / u)) * u) = T(x,u * ((u \ y) * z)). [hyper(58,a,8566,a(flip),b,11833,a)]. given #11216 (H,wt=19): 11841 T(x,y * ((y \ z) * (u * y))) = T(x,(z * u) * y). [para(6(a,1),11839(a,1,2,1,2)),flip(a)]. given #11217 (H,wt=17): 11842 T(x,(y * z) * T(u,z)) = T(x,(y * u) * z). [hyper(58,a,11474,a(flip),b,11841,a)]. given #11218 (H,wt=17): 11844 T(x,(y * T(z,u)) * u) = T(x,(y * u) * z). [hyper(58,a,8594,a(flip),b,11842,a),flip(a)]. given #11219 (H,wt=17): 11845 T(x,((y / z) * u) * z) = T(x,y * T(u,z)). [para(7(a,1),11842(a,1,2,1)),flip(a)]. given #11220 (H,wt=17): 11848 T(x,(y \ z) * T(u,z)) = T(x,(y \ u) * z). [hyper(58,a,9821,a(flip),b,11845,a),flip(a)]. given #11221 (H,wt=19): 11846 K(x,T(y,(z * u) * w)) = K(x,T(y,u * (z * w))). [para(11842(a,1),11441(a,1,2))]. given #11222 (H,wt=19): 11849 T(x,(y \ (z * z)) * u) = T(x,z * (z * (y \ u))). [hyper(58,a,10433,a(flip),b,11848,a),flip(a)]. given #11223 (H,wt=19): 11851 T(x,(y * (y / z)) * u) = T(x,y * (y * (z \ u))). [hyper(58,a,8681,a(flip),b,11849,a)]. given #11224 (H,wt=20): 11815 T(x,L(y,y,z) * (u * w)) = T(x,T(u,y) * (y * w)). [hyper(58,a,11271,a(flip),b,11812,a),flip(a)]. given #11225 (H,wt=17): 11854 T(x,T(y,z) * (z * u)) = T(x,z * (y * u)). [hyper(58,a,8460,a(flip),b,11815,a),flip(a)]. given #11226 (H,wt=17): 11860 T(x,y * (T(z,y) * u)) = T(x,z * (y * u)). [hyper(58,a,5798,a(flip),b,11854,a),flip(a)]. given #11227 (H,wt=17): 11861 T(x,y * (z * (y \ u))) = T(x,T(z,y) * u). [para(5(a,1),11854(a,1,2,2)),flip(a)]. given #11228 (H,wt=17): 11868 T(x,T(y,z) * (z / u)) = T(x,z * (y / u)). [hyper(58,a,9651,a(flip),b,11861,a),flip(a)]. given #11229 (H,wt=17): 11873 T(x,T((y \ z) * u,y)) = T(x,z * (u / y)). [hyper(58,a,11618,a,b,11868,a)]. given #11230 (H,wt=17): 11875 T(x,(y * z) * (u / y)) = T(x,T(z * u,y)). [para(4(a,1),11873(a,1,2,1,1)),flip(a)]. given #11231 (H,wt=17): 11877 T(x,T(y * (z * u),u)) = T(x,(u * y) * z). [para(6(a,1),11875(a,1,2,2)),flip(a)]. given #11232 (H,wt=18): 11881 T(x,L(y,z,u) * (u * z)) = T(x,(y * u) * z). [hyper(58,a,11022,a(flip),b,11877,a)]. given #11233 (H,wt=18): 11883 T(x,(x * y) * z) != u | T(x,y * (z * x)) = u. [para(11877(a,1),5731(a,1))]. given #11234 (H,wt=19): 11855 T(x,T(y,z) * T(u,z)) = T(x,z * (y * (u / z))). [hyper(8595,a,11854,a)]. given #11235 (H,wt=19): 11857 T(x,(y * (z * z)) * u) = T(x,y * (u * (z * z))). [hyper(58,a,8837,a(flip),b,11854,a)]. given #11236 (H,wt=19): 11858 T(x,(y * z) * (y * u)) = T(x,y * ((z * y) * u)). [hyper(58,a,8591,a(flip),b,11854,a)]. given #11237 (H,wt=19): 11859 T(x,(y * z) * (z * u)) = T(x,z * ((z * y) * u)). [hyper(58,a,8565,a(flip),b,11854,a)]. given #11238 (H,wt=19): 11862 T(x,T(y,z) * (u * z)) = T(x,z * (y * T(u,z))). [para(98(a,1),11854(a,1,2,2))]. given #11239 (H,wt=17): 11890 T(x,x * (y * T(z,x))) = T(x,y * (z * x)). [hyper(58,a,5364,a(flip),b,11862,a),flip(a)]. given #11240 (H,wt=15): 11893 T(x,y * (z * x)) = T(x,x * (y * z)). [hyper(58,a,6349,a(flip),b,11890,a),flip(a)]. given #11241 (H,wt=17): 11894 x * K(x \ 1,y * z) = T(x,y * (z * x)). [hyper(272,a,3393,a,b,11893,a)]. given #11242 (H,wt=19): 11871 K(x,y * (z * (y \ u))) = x \ T(x,T(z,y) * u). [hyper(112,a,11861,a(flip),b,2674,a(flip)),flip(a)]. given #11243 (H,wt=17): 11897 K(x,y * (z * (y \ u))) = K(x,T(z,y) * u). [hyper(272,a,2672,a,b,11871,a),flip(a)]. given #11244 (H,wt=17): 11899 K(x,T(y,z) * (z * u)) = K(x,z * (y * u)). [para(4(a,1),11897(a,1,2,2,2)),flip(a)]. given #11245 (H,wt=17): 11900 K(x,y * (T(z,y) * u)) = K(x,z * (y * u)). [hyper(58,a,5794,a(flip),b,11899,a),flip(a)]. given #11246 (H,wt=19): 11872 T(x,y * ((y \ z) * (y \ u))) = T(x,(z / y) * u). [para(2775(a,1),11861(a,2,2,1))]. given #11247 (H,wt=19): 11876 T(x,T(y * (z * u),z)) = T(x,(z * y) * T(u,z)). [hyper(58,a,8593,a(flip),b,11875,a),flip(a)]. given #11248 (H,wt=19): 11879 T(x,y * (y * ((y \ z) * u))) = T(x,(y * z) * u). [hyper(58,a,8721,a,b,11877,a)]. given #11249 (H,wt=19): 11885 T(x,T(y * (z * u),y * z)) = T(x,(u * y) * z). [hyper(58,a,6039,a,b,11881,a)]. given #11250 (H,wt=19): 11886 T(x,y \ (z * (u * y))) = T(x,y * (z * (u / y))). [hyper(58,a,11827,a,b,11855,a)]. given #11251 (H,wt=19): 11887 T(x,((y * z) * z) * u) = T(x,y * (u * (z * z))). [hyper(58,a,8586,a,b,11857,a)]. given #11252 (H,wt=19): 11888 T(x,((y * x) * z) * x) = T(x,(x * y) * (x * z)). [hyper(272,a,2315,a,b,11858,a)]. given #11253 (H,wt=19): 11895 T(x,y * (x * (z * x))) = T(x,x * (y * (x * z))). [hyper(58,a,8520,a(flip),b,11893,a)]. given #11254 (H,wt=19): 11896 T(x,x * ((y * z) * x)) = T(x,x * ((y * x) * z)). [hyper(58,a,5391,a(flip),b,11893,a)]. given #11255 (H,wt=19): 11898 K(x,T(y,z) * (u \ z)) = K(x,z * (y / T(u,z))). [hyper(58,a,8534,a(flip),b,11897,a),flip(a)]. given #11256 (H,wt=19): 11904 T(x,(y * (y * z)) * u) = T(x,y * (y * (z * u))). [para(4(a,1),11879(a,1,2,2,2,1)),flip(a)]. given #11257 (H,wt=19): 11906 T(x,((y * z) * z) * u) = T(x,y * (z * (z * u))). [para(2956(a,1),11887(a,2,2,2))]. given #11258 (H,wt=19): 11907 T(x,((y * x) * z) * x) = T(x,y * ((x * z) * x)). [hyper(272,a,11814,a(flip),b,11888,a),flip(a)]. given #11259 (H,wt=19): 11909 T(x,((y * x) * z) * x) = T(x,y * (x * (z * x))). [hyper(272,a,8520,a(flip),b,11907,a),flip(a)]. given #11260 (H,wt=19): 11910 T(x,y * (x * (z * x))) = T(x,x * ((y * x) * z)). [hyper(5780,a,11909,a),flip(a)]. given #11261 (H,wt=20): 11880 T(x,L(y,z,u) * (z * u)) = T(x,(y * T(u,z)) * z). [hyper(58,a,11080,a(flip),b,11877,a)]. given #11262 (H,wt=18): 11911 T(x,L(y,z,u) * (z * u)) = T(x,(y * z) * u). [hyper(272,a,11844,a(flip),b,11880,a),flip(a)]. given #11263 (H,wt=21): 11818 L(x,y,T(z,(u * w) * v5)) = L(x,y,T(z,w * (v5 * u))). [para(11812(a,1),11011(a,1,3)),flip(a)]. given #11264 (H,wt=21): 11822 T(x,T((y / z) / u,y)) = T(x,z \ ((w \ (w / u)) * y)). [hyper(9728,a,11820,a)]. given #11265 (H,wt=17): 11913 T(x,T((y / z) / u,y)) = T(x,z \ (u \ y)). [hyper(272,a,9674,a(flip),b,11822,a),flip(a)]. given #11266 (H,wt=17): 11915 T(x,(y \ z) \ (u \ z)) = T(x,T(y / u,z)). [para(72(a,1),11913(a,1,2,1,1)),flip(a)]. given #11267 (H,wt=17): 11916 T(x,T((y * z) / u,y)) = T(x,z * (u \ y)). [hyper(58,a,8616,a(flip),b,11915,a),flip(a)]. given #11268 (H,wt=17): 11917 T(x,(y \ z) * (u \ y)) = T(x,T(z / u,y)). [hyper(58,a,8614,a(flip),b,11915,a)]. given #11269 (H,wt=19): 11914 K(x,T((y / z) / u,y)) = x \ T(x,z \ (u \ y)). [hyper(112,a,11913,a(flip),b,2674,a(flip)),flip(a)]. given #11270 (H,wt=17): 11919 K(x,T((y / z) / u,y)) = K(x,z \ (u \ y)). [hyper(272,a,2672,a,b,11914,a),flip(a)]. given #11271 (H,wt=17): 11920 K(x,T(y,z) \ (z \ u)) = K(x,z \ (y \ u)). [hyper(58,a,11169,a(flip),b,11919,a)]. given #11272 (H,wt=19): 11921 K(x,(y * z) \ (y \ u)) = K(x,y \ ((z * y) \ u)). [hyper(58,a,8553,a(flip),b,11920,a)]. given #11273 (H,wt=21): 11850 x * K(x,T(y,z * (u * w))) = T(x,T(y,(u * z) * w)). [hyper(114,a,11846,a(flip),b,2672,a(flip))]. given #11274 (H,wt=19): 11923 T(x,T(y,(z * u) * w)) = T(x,T(y,u * (z * w))). [hyper(2737,a,11850,a),flip(a)]. given #11275 (H,wt=21): 11856 T(x,y * (y * (T(z,y) * u))) = T(x,y * (z * (y * u))). [hyper(58,a,11783,a(flip),b,11854,a)]. given #11276 (H,wt=21): 11863 T(x,a(y,z,u) * (w * v5)) = T(x,w * (a(y,z,u) * v5)). [hyper(58,a,11598,a(flip),b,11860,a),flip(a)]. given #11277 (H,wt=21): 11867 T(x,y * (z * (y \ (u * u)))) = T(x,T(z * (u * u),y)). [hyper(272,a,11181,a,b,11861,a),flip(a)]. given #11278 (H,wt=21): 11874 T(a(x,y,z),(u \ w) * v5) = T(a(x,y,z),w * (v5 / u)). [hyper(11033,a,11873,a)]. given #11279 (H,wt=21): 11878 T(x,T((y / z) * (u * y),y)) = T(x,y * (y * (z \ u))). [hyper(272,a,11851,a(flip),b,11877,a),flip(a)]. given #11280 (H,wt=19): 11928 T(x,y \ ((z * u) * u)) = T(x,u * (u * (y \ z))). [hyper(58,a,11820,a(flip),b,11878,a)]. given #11281 (H,wt=19): 11929 T(x,y \ (z * (z * u))) = T(x,z * (z * (y \ u))). [hyper(58,a,8581,a(flip),b,11928,a)]. given #11282 (H,wt=21): 11901 T(x,y \ (y \ ((z * y) / u))) = T(x,(z / y) * (1 / u)). [hyper(58,a,11765,a(flip),b,11872,a)]. given #11283 (H,wt=19): 11930 T(x,y \ (y \ ((z * y) / u))) = T(x,(z / y) / u). [hyper(272,a,6044,a(flip),b,11901,a),flip(a)]. given #11284 (H,wt=21): 11903 K(x,y) * T(y,z * (u * x)) = T(T(y,x),(x * z) * u). [hyper(58,a,8829,a(flip),b,11879,a)]. given #11285 (H,wt=21): 11926 T(x,y * (z * (u * (u / y)))) = T(x,T(z * (u * u),y)). [hyper(58,a,8833,a(flip),b,11867,a)]. given #11286 (H,wt=22): 11838 T(x,y * ((y \ (z / u)) * u)) = T(x,L(z,(u \ 1) \ y,u)). [hyper(58,a,10848,a(flip),b,11833,a),flip(a)]. given #11287 (H,wt=20): 11933 T(x,y * ((y \ (z / u)) * u)) = T(x,L(z,u * y,u)). [para(9195(a,1),11838(a,2,2))]. given #11288 (H,wt=18): 11934 T(x,y * ((y \ (z / u)) * u)) = T(x,L(z,y,u)). [hyper(272,a,10624,a(flip),b,11933,a),flip(a)]. given #11289 (H,wt=22): 11924 T(x,T(y,(z * u) * w)) != v5 | T(x,T(y,u * (z * w))) = v5. [para(11850(a,1),2737(a,1))]. given #11290 (H,wt=22): 11931 T(x,((y * T(z * u,z)) / z) / u) = T(x,L(y,z * u,z)). [hyper(58,a,11797,a(flip),b,11930,a),flip(a)]. given #11291 (H,wt=20): 11935 T(x,(y * ((y \ z) * u)) / u) = T(x,L(z,y * u,y)). [para(1157(a,1),11931(a,1,2,1))]. given #11292 (H,wt=20): 11936 T(x,y * ((y \ z) * (z \ u))) = T(x,L(u,z * y,z)). [hyper(58,a,8560,a(flip),b,11935,a)]. given #11293 (H,wt=18): 11937 T(x,y * ((y \ z) * (z \ u))) = T(x,L(u,y,z)). [hyper(272,a,10624,a(flip),b,11936,a),flip(a)]. given #11294 (H,wt=23): 11864 T(x,L(y,z,u) * (T(w,y) * v5)) = T(x,w * (L(y,z,u) * v5)). [hyper(58,a,11495,a(flip),b,11860,a)]. given #11295 (H,wt=23): 11889 T(x,y * ((y * z) * (y * u))) = T(x,y * (y * ((z * y) * u))). [hyper(58,a,11783,a(flip),b,11859,a),flip(a)]. given #11296 (H,wt=23): 11908 T(x,y * ((y \ (z * z)) * u)) = T(x,y * (z * (z * (y \ u)))). [hyper(58,a,11478,a(flip),b,11906,a)]. given #11297 (H,wt=23): 11927 T(a(x,y,z),u * (T(w,v5) / v5)) = T(a(x,y,z),(u / v5) * w). [hyper(58,a,11185,a(flip),b,11874,a),flip(a)]. given #11298 (H,wt=21): 11940 T(a(x,y,z),(u / w) * v5) = T(a(x,y,z),u * (w \ v5)). [hyper(58,a,8484,a(flip),b,11927,a),flip(a)]. given #11299 (H,wt=23): 11939 T(x,y * ((z * (z / y)) * u)) = T(x,y * (z * (z * (y \ u)))). [hyper(58,a,9458,a(flip),b,11908,a)]. given #11300 (H,wt=19): 11941 T(x,y * ((z * (z / y)) * u)) = T(x,z * (z * u)). [hyper(272,a,11785,a(flip),b,11939,a),flip(a)]. given #11301 (H,wt=24): 11834 T(x,(y \ a(y,z,u)) \ 1) = T(x,z * (((u * (y \ 1)) * z) \ u)). [hyper(58,a,5137,a,b,11829,a)]. given #11302 (H,wt=24): 11944 T(x,(y \ a(y,z,u)) \ 1) = T(x,z * (u \ ((u / z) / (y \ 1)))). [hyper(272,a,9833,a(flip),b,11834,a),flip(a)]. given #11303 (H,wt=24): 11945 T(x,(y \ a(y,z,u)) \ 1) = T(x,z * (u \ ((u / z) * (1 \ y)))). [hyper(272,a,9611,a(flip),b,11944,a),flip(a)]. given #11304 (H,wt=22): 11946 T(x,(y \ a(y,z,u)) \ 1) = T(x,z * (u \ ((u / z) * y))). [para(60(a,1),11945(a,2,2,2,2,2))]. given #11305 (H,wt=23): 11947 T(x,y * (z \ ((z / y) * u))) != w | T(x,a(u,y,z) \ u) = w. [para(11946(a,1),4488(a,1))]. given #11306 (H,wt=20): 11948 T(x,a(y,z,u) \ y) = T(x,z * ((z \ (y / u)) * u)). [hyper(11947,a,9460,a)]. given #11307 (H,wt=15): 11949 T(x,a(y,z,u) \ y) = T(x,L(y,z,u)). [hyper(272,a,11934,a(flip),b,11948,a),flip(a)]. given #11308 (H,wt=22): 11951 T((a(x,y,z) \ x) \ u,L(x,y,z)) = u / (a(x,y,z) \ x). [hyper(2811,a,11949,a),flip(a)]. given #11309 (H,wt=24): 11950 T((x / (a(y,z,u) \ y)) \ 1,L(y,z,u)) = x \ (a(y,z,u) \ y). [hyper(2913,a,11949,a),flip(a)]. given #11310 (H,wt=24): 11952 T(1 / x,L(y,z,u)) * ((a(y,z,u) \ y) * x) = a(y,z,u) \ y. [para(11949(a,1),3032(a,1,1))]. given #11311 (H,wt=25): 11823 T(x,(y / z) * ((y / z) * T(u,y))) = T(x,z \ (((y / z) * u) * y)). [hyper(58,a,11183,a(flip),b,11820,a)]. given #11312 (H,wt=25): 11824 T(x,T(y * (z * (u \ (z / u))),z)) = T(x,u \ (((z / u) * y) * z)). [hyper(11241,a,11821,a)]. given #11313 (H,wt=25): 11840 T(T(x,K(y,z * u)),y * (z * (u / y))) = T(x,y * ((y \ z) * u)). [hyper(58,a,8080,a,b,11839,a)]. given #11314 (H,wt=25): 11852 T(x,(y \ 1) * ((y \ 1) * (z \ u))) = T(x,(y \ ((y \ 1) / z)) * u). [hyper(58,a,8587,a(flip),b,11851,a),flip(a)]. given #11315 (H,wt=23): 11955 T(x,(y \ 1) * ((y \ 1) * (z \ u))) = T(x,(y * (y * z)) \ u). [hyper(272,a,8619,a(flip),b,11852,a),flip(a)]. given #11316 (H,wt=25): 11869 T(x,y * (((y \ z) * (y \ z)) * u)) = T(x,T(u * (y \ z),y) * z). [hyper(58,a,8542,a(flip),b,11861,a)]. given #11317 (H,wt=23): 11957 T(x,T(y * (z \ u),z) * u) = T(x,u * (T(u,z) * (z \ y))). [hyper(58,a,11560,a(flip),b,11869,a),flip(a)]. given #11318 (H,wt=25): 11870 T(x,y * ((y \ z) * ((y \ z) * u))) = T(x,T(u * (y \ z),y) * z). [hyper(58,a,8521,a(flip),b,11861,a)]. given #11319 (H,wt=25): 11891 T(x,L(T(y,z),u,w) * (v5 * z)) = T(x,z * (L(y,u,w) * T(v5,z))). [para(20(a,2),11862(a,1,2,1))]. given #11320 (H,wt=25): 11892 T(x,R(T(y,z),u,w) * (v5 * z)) = T(x,z * (R(y,u,w) * T(v5,z))). [para(22(a,2),11862(a,1,2,1))]. given #11321 (H,wt=25): 11918 T(x,T((y * z) * (u \ K(w,v5)),y)) = T(x,z * ((u * K(w,v5)) \ y)). [hyper(58,a,11636,a(flip),b,11916,a)]. given #11322 (H,wt=23): 11959 T(x,y * ((z * K(u,w)) \ v5)) = T(x,y * ((z \ K(u,w)) * v5)). [hyper(58,a,11812,a(flip),b,11918,a),flip(a)]. given #11323 (H,wt=23): 11960 T(x,y * (z \ (u * K(w,v5)))) = T(x,y * ((z \ K(w,v5)) * u)). [hyper(58,a,11329,a(flip),b,11959,a)]. given #11324 (H,wt=25): 11925 T(x,T(y,z * (u * ((1 / w) * v5)))) = T(x,T(y,(u * z) * (w * v5))). [hyper(58,a,11790,a(flip),b,11923,a),flip(a)]. given #11325 (H,wt=25): 11953 T(x,(y * z) * T(u \ (y / u),y)) = T(x,u \ (((y / u) * z) * y)). [hyper(58,a,11876,a(flip),b,11824,a)]. given #11326 (H,wt=23): 11962 T(x,y \ (((z / y) * u) * z)) = T(x,(z * u) * ((y \ z) / y)). [para(6722(a,1),11953(a,1,2,2)),flip(a)]. given #11327 (H,wt=23): 11963 T(x,y \ (((z / y) * u) * z)) = T(x,(z * u) * (y \ (z / y))). [hyper(272,a,8513,a(flip),b,11962,a),flip(a)]. given #11328 (H,wt=25): 11958 T(x,(y \ z) * ((y \ z) * (y * u))) = T(x,T(u * (y \ z),y) * z). [hyper(58,a,11783,a(flip),b,11870,a)]. given #11329 (H,wt=25): 11961 T(x,T(y,z * (u * ((1 / w) * v5)))) = T(x,T(y,z * (u * (w * v5)))). [hyper(272,a,11923,a(flip),b,11925,a),flip(a)]. given #11330 (H,wt=23): 11965 T(x,T(y,z * (u * (w \ v5)))) = T(x,T(y,z * (u * (w * v5)))). [para(8558(a,1),11961(a,1,2))]. given #11331 (H,wt=25): 11964 T(x,(y / z) * ((y / z) * T(u,y))) = T(x,(y * u) * (z \ (y / z))). [hyper(58,a,11823,a,b,11963,a)]. given #11332 (H,wt=26): 11866 T(x,R(y,z,u) * (T(w,L(y,z,u)) * v5)) = T(x,w * (R(y,z,u) * v5)). [para(10615(a,1),11860(a,1,2,2,1))]. given #11333 (H,wt=23): 11966 T(x,R(y,z,u) * (T(w,y) * v5)) = T(x,w * (R(y,z,u) * v5)). [hyper(58,a,11495,a(flip),b,11866,a)]. given #11334 (H,wt=27): 11835 T(x,(((y * z) \ y) * u) * (y * z)) = T(x,y * ((z * y) \ (u * (y * z)))). [hyper(58,a,8567,a(flip),b,11829,a)]. given #11335 (H,wt=23): 11969 T(x,y * ((z * y) \ (u * (y * z)))) = T(x,(z \ u) * (y * z)). [hyper(58,a,9823,a(flip),b,11835,a),flip(a)]. given #11336 (H,wt=21): 11971 T(x,y * ((z * y) \ (u * (y * z)))) = T(x,T(u * y,z)). [hyper(272,a,11817,a(flip),b,11969,a),flip(a)]. given #11337 (H,wt=27): 11853 T(x,(y \ z) * ((y \ z) * ((y \ 1) \ u))) = T(x,((y \ z) * T(z,y)) * u). [para(678(a,2),11851(a,1,2,1,2)),flip(a)]. given #11338 (H,wt=25): 11972 T(x,(y \ z) * ((y \ z) * ((y \ 1) \ u))) = T(x,z * (y \ (z * u))). [hyper(272,a,11480,a(flip),b,11853,a),flip(a)]. given #11339 (H,wt=23): 11973 T(x,(y \ z) * ((y \ z) * (y * u))) = T(x,z * (y \ (z * u))). [hyper(58,a,8559,a(flip),b,11972,a)]. given #11340 (H,wt=21): 11974 T(x,T(y * (z \ u),z) * u) = T(x,u * (z \ (u * y))). [hyper(58,a,11958,a(flip),b,11973,a)]. given #11341 (H,wt=21): 11975 T(x,y * (T(y,z) * (z \ u))) = T(x,y * (z \ (y * u))). [hyper(58,a,11957,a(flip),b,11974,a)]. given #11342 (H,wt=27): 11882 T(x,T(y * (z * ((u * z) \ 1)),z \ 1)) = T(x,((z \ 1) * y) * (u \ z)). [para(3816(a,1),11877(a,1,2,1,2))]. given #11343 (H,wt=25): 11976 T(x,T(y * (z * ((u * z) \ 1)),z)) = T(x,((z \ 1) * y) * (u \ z)). [hyper(6005,a,11882,a)]. given #11344 (H,wt=25): 11977 T(x,(y * z) * T((u * y) \ 1,y)) = T(x,((y \ 1) * z) * (u \ y)). [hyper(58,a,11876,a(flip),b,11976,a)]. given #11345 (H,wt=23): 11978 T(x,((y \ 1) * z) * (u \ y)) = T(x,(y * z) * (u \ (1 / y))). [para(4624(a,1),11977(a,1,2,2)),flip(a)]. given #11346 (H,wt=21): 11979 T(x,((y \ 1) * z) * (u \ y)) = T(x,(y * z) / (y * u)). [hyper(272,a,9484,a(flip),b,11978,a),flip(a)]. given #11347 (H,wt=19): 11980 T(x,(y * z) / (y * u)) = T(x,(y \ z) * (u \ y)). [hyper(58,a,8587,a(flip),b,11979,a),flip(a)]. given #11348 (H,wt=17): 11981 T(x,(y * z) / (y * u)) = T(x,T(z / u,y)). [hyper(272,a,11917,a(flip),b,11980,a),flip(a)]. given #11349 (H,wt=27): 11902 K(x,y) * T(T(x,y),(z * u) * T(w,z)) = T(x,T(T(u * (z * w),z),y)). [para(11876(a,1),5429(a,1,2))]. given #11350 (H,wt=26): 11983 T(x,T(T(y * (z * u),z),w)) != v5 | T(x,T((z * y) * T(u,z),w)) = v5. [para(11902(a,1),5431(a,1))]. given #11351 (H,wt=27): 11905 T(x,(y * z) * (y * (u / (y * z)))) = T(x,y * ((z * y) \ (u * (y * z)))). [hyper(58,a,11829,a(flip),b,11886,a),flip(a)]. given #11352 (H,wt=27): 11956 T(x,(y \ 1) * ((y \ 1) * ((1 / z) \ u))) = T(x,(y * (y * (z \ 1))) \ u). [hyper(58,a,8688,a,b,11955,a)]. given #11353 (H,wt=25): 11985 T(x,(y \ 1) * ((y \ 1) * ((1 / z) \ u))) = T(x,(z \ (y * y)) \ u). [para(3290(a,1),11956(a,2,2,1))]. given #11354 (H,wt=25): 11986 T(x,(y \ 1) * ((y \ 1) * ((1 / z) \ u))) = T(x,((y * y) \ z) * u). [hyper(272,a,8614,a(flip),b,11985,a),flip(a)]. given #11355 (H,wt=25): 11987 T(x,(y \ 1) * ((y \ 1) * ((1 / z) \ u))) = T(x,(y \ (y \ z)) * u). [hyper(272,a,8471,a(flip),b,11986,a),flip(a)]. given #11356 (H,wt=23): 11988 T(x,(y \ 1) * ((y \ 1) * (z * u))) = T(x,(y \ (y \ z)) * u). [hyper(58,a,8683,a(flip),b,11987,a)]. given #11357 (H,wt=21): 11989 T(x,(y \ 1) * (y \ (z * u))) = T(x,(y \ (y \ z)) * u). [hyper(58,a,8519,a(flip),b,11988,a)]. given #11358 (H,wt=19): 11990 T(x,y \ (y \ (z * u))) = T(x,(y \ (y \ z)) * u). [hyper(6112,a,11989,a)]. given #11359 (H,wt=19): 11991 T(x,(y \ (y \ z)) * u) = T(x,z * (y \ (y \ u))). [hyper(58,a,11771,a(flip),b,11990,a),flip(a)]. given #11360 (H,wt=21): 11993 x \ T(x,y * (z \ (z \ u))) = K(x,(z \ (z \ y)) * u). [hyper(112,a,11991,a(flip),b,2674,a(flip))]. given #11361 (H,wt=19): 11995 K(x,(y \ (y \ z)) * u) = K(x,z * (y \ (y \ u))). [hyper(2691,a,11993,a),flip(a)]. given #11362 (H,wt=19): 11996 K(x,(y * z) * (y \ (y \ u))) = K(x,(y \ z) * u). [para(4(a,1),11995(a,1,2,1,2)),flip(a)]. given #11363 (H,wt=17): 11997 K(x,T(y * (z / u),u)) = K(x,(u \ y) * z). [hyper(11775,a,11996,a)]. given #11364 (H,wt=25): 11994 T(x,(y * T(y,z)) * (z \ (z \ u))) = T(x,(z \ (y * (z \ y))) * u). [para(4684(a,1),11991(a,1,2,1,2)),flip(a)]. given #11365 (H,wt=27): 11968 T(x,R(T(y,z),u,w) * (T(v5,T(y,z)) * z)) = T(x,v5 * (z * R(y,u,w))). [para(2788(a,1),11966(a,2,2,2))]. given #11366 (H,wt=25): 11998 T(x,R(T(y,z),u,w) * (T(v5,y) * z)) = T(x,v5 * (z * R(y,u,w))). [hyper(58,a,11351,a(flip),b,11968,a)]. given #11367 (H,wt=25): 12000 T(x,y * (R(z,u,w) * T(T(v5,z),y))) = T(x,v5 * (y * R(z,u,w))). [hyper(58,a,11892,a(flip),b,11998,a)]. given #11368 (H,wt=27): 11984 T(x,y * ((z * y) \ (u * (y * z)))) = T(x,y * ((z * y) * (u / (y * z)))). [hyper(58,a,11858,a(flip),b,11905,a),flip(a)]. given #11369 (H,wt=21): 12001 T(x,y * ((z * y) * (u / (y * z)))) = T(x,T(u * y,z)). [hyper(58,a,11971,a(flip),b,11984,a),flip(a)]. given #11370 (H,wt=28): 11922 K(x,(1 / y) \ (((y * z) * (1 / y)) \ u)) = K(x,L(z,y,y) \ ((1 / y) \ u)). [para(3118(a,1),11921(a,1,2,1)),flip(a)]. given #11371 (H,wt=28): 12002 K(x,(1 / y) \ (((y * z) * (1 / y)) \ u)) = K(x,L(z,y,y) \ ((y / 1) * u)). [hyper(272,a,9703,a(flip),b,11922,a),flip(a)]. given #11372 (H,wt=26): 12003 K(x,(1 / y) \ (((y * z) * (1 / y)) \ u)) = K(x,L(z,y,y) \ (y * u)). [para(70(a,1),12002(a,2,2,2,1))]. given #11373 (H,wt=23): 12004 K(x,(1 / y) \ (((y * z) * (1 / y)) \ u)) = K(x,z \ (y * u)). [hyper(272,a,8447,a(flip),b,12003,a),flip(a)]. given #11374 (H,wt=21): 12006 K(x,(1 / y) \ ((y * (z / y)) \ u)) = K(x,z \ (y * u)). [para(3535(a,1),12004(a,1,2,2,1))]. given #11375 (H,wt=21): 12007 K(x,(1 / y) \ (((y / z) / y) * u)) = K(x,z \ (y * u)). [hyper(9872,a,12006,a)]. given #11376 (H,wt=19): 12008 K(x,(1 / y) \ (T(z,y) \ u)) = K(x,z \ (y * u)). [hyper(58,a,9707,a(flip),b,12007,a)]. given #11377 (H,wt=17): 12009 K(x,y * (T(z,y) \ u)) = K(x,z \ (y * u)). [hyper(58,a,6076,a(flip),b,12008,a)]. given #11378 (H,wt=17): 12010 K(x,T(y,z) * (z \ u)) = K(x,z \ (y * u)). [para(3941(a,2),12009(a,1,2))]. given #11379 (H,wt=17): 12011 K(x,T((y / z) * u,y)) = K(x,z \ (u * y)). [hyper(58,a,11165,a,b,12010,a)]. given #11380 (H,wt=29): 11847 T(x,(y * T(z,(u \ y) / u)) * ((u \ y) / u)) = T(x,((u \ (y / u)) * y) * z). [para(6721(a,2),11844(a,2,2,1))]. given #11381 (H,wt=29): 11884 T(x,T((y * z) * (u \ ((y * z) / u)),z)) = T(x,(z * ((u \ (y * z)) / u)) * y). [para(6727(a,1),11877(a,1,2,1))]. given #11382 (H,wt=29): 11932 T(x,y * (z * ((y / u) * (1 / T(u,y))))) = T(x,T(z * ((y / u) * (y / u)),y)). [para(2794(a,1),11926(a,1,2,2,2,2))]. given #11383 (H,wt=29): 11982 T(x,T((y * (z * y)) / u,z / y)) = T(x,(z / (1 / (z * y))) / ((z / y) * u)). [para(7772(a,1),11981(a,1,2,1)),flip(a)]. given #11384 (H,wt=29): 11992 T(x,y * (z \ (z \ (y * (z \ (z \ (z \ (z \ y)))))))) = T(x,(z \ (z \ y)) \ 1). [hyper(58,a,9178,a(flip),b,11991,a),flip(a)]. given #11385 (H,wt=29): 12012 T(x,(y * T(z,u \ (y / u))) * ((u \ y) / u)) = T(x,((u \ (y / u)) * y) * z). [para(6011(a,1),11847(a,1,2,1,2))]. given #11386 (H,wt=29): 12013 T(x,(y * ((z \ (u * y)) / z)) * u) != w | L(x,z \ (u * y),z \ (u * y)) = w. [para(11884(a,1),11602(a,1))]. given #11387 (H,wt=29): 12014 T(x,y * (z * (y * (u \ (1 / T(u,y)))))) = T(x,T(z * ((y / u) * (y / u)),y)). [para(8293(a,1),11932(a,1,2,2,2))]. given #11388 (H,wt=25): 12017 T(x,T(y * ((z / u) * (z / u)),z)) = T(x,z * (y * ((u \ z) / u))). [para(8301(a,1),12014(a,1,2,2,2)),flip(a)]. given #11389 (H,wt=25): 12018 T(x,T(y * ((z / u) * (z / u)),z)) = T(x,z * (y * (u \ (z / u)))). [hyper(272,a,8648,a(flip),b,12017,a),flip(a)]. given #11390 (H,wt=25): 12019 T(x,T(y * ((z \ u) * (z \ u)),u)) = T(x,u * (y * (z \ (u / z)))). [para(4115(a,1),12018(a,1,2,1,2))]. given #11391 (H,wt=25): 12020 T(x,(y \ z) * ((y \ z) * T(u,z))) = T(x,z * (u * (y \ (z / y)))). [hyper(58,a,11182,a(flip),b,12019,a)]. given #11392 (H,wt=29): 12015 T(x,T((y * (z * y)) / u,z / y)) = T(x,(z / (1 / (z * y))) * (u \ (y / z))). [hyper(272,a,9687,a(flip),b,11982,a),flip(a)]. given #11393 (H,wt=27): 12021 T(x,T((y * (z * y)) / u,z / y)) = T(x,(z * (z * y)) * (u \ (y / z))). [hyper(272,a,8473,a(flip),b,12015,a),flip(a)]. given #11394 (H,wt=27): 12022 T(x,T((y * (z * y)) / u,z / y)) = T(x,z * (z * (y * (u \ (y / z))))). [hyper(272,a,11904,a(flip),b,12021,a),flip(a)]. given #11395 (H,wt=27): 12023 T(x,T((y * (z * y)) / u,y * z)) = T(x,z * (z * (y * (u \ (y / z))))). [hyper(58,a,11232,a(flip),b,12022,a)]. given #11396 (H,wt=29): 12016 T(x,(y * T(z,u \ (y / u))) * (u \ (y / u))) = T(x,((u \ (y / u)) * y) * z). [hyper(58,a,8513,a(flip),b,12012,a)]. given #11397 (H,wt=30): 11832 T(x,(y * z) * R(L(u,w,K(v5,v6)),y,z)) = T(x,y * (L(u,w,K(v5,v6)) * T(z,u))). [para(10992(a,2),11816(a,2,2,2))]. given #11398 (H,wt=30): 12024 T(x,(y * z) * L(R(u,y,z),w,K(v5,v6))) = T(x,y * (L(u,w,K(v5,v6)) * T(z,u))). [para(24(a,1),11832(a,1,2,2))]. given #11399 (H,wt=33): 11700 T(x,T(y,z) * ((((1 / y) * u) * K(y,z)) * w)) = T(x,(K(y,z) * (u * y)) * (T(y,z) \ w)). [para(3176(a,2),11483(a,2,2,1))]. given #11400 (H,wt=33): 11938 T(x,(y \ 1) * ((y \ 1) * ((z * (y \ 1)) * u))) = T(x,(y \ 1) * (((y \ 1) * z) * (y \ u))). [hyper(58,a,8684,a(flip),b,11889,a),flip(a)]. given #11401 (H,wt=33): 12025 T(x,T(y,z) * ((((1 / y) * u) * K(y,z)) * w)) = T(x,(u * y) * (K(y,z) * (T(y,z) \ w))). [hyper(272,a,11367,a(flip),b,11700,a),flip(a)]. given #11402 (H,wt=27): 12027 T(x,T(y,z) * ((((1 / y) * u) * K(y,z)) * w)) = T(x,(u * y) * (y \ w)). [para(3174(a,1),12025(a,2,2,2))]. given #11403 (H,wt=27): 12028 T(x,T(y,z) * ((((1 / y) * u) * K(y,z)) * w)) = T(x,y * ((y \ u) * w)). [hyper(272,a,11473,a(flip),b,12027,a),flip(a)]. given #11404 (H,wt=25): 12030 T(x,T(y,z) * ((T(u,y) / T(y,z)) * w)) = T(x,y * ((y \ u) * w)). [para(3996(a,1),12028(a,1,2,2,1))]. given #11405 (H,wt=23): 12031 T(x,T(y,z) * ((T(y,z) \ u) * w)) = T(x,y * ((y \ u) * w)). [hyper(58,a,11801,a(flip),b,12030,a)]. given #11406 (H,wt=33): 12026 T(x,(y \ 1) * ((y \ 1) * ((z * (y \ 1)) * (y / u)))) = T(x,(y \ 1) * (((y \ 1) * z) / u)). [hyper(272,a,9651,a(flip),b,11938,a),flip(a)]. given #11407 (H,wt=31): 12032 T(x,(y \ 1) * ((y \ 1) * ((z * (y \ 1)) * (y / u)))) = T(x,(y \ 1) * ((y \ z) / u)). [hyper(272,a,8848,a(flip),b,12026,a),flip(a)]. given #11408 (H,wt=29): 12033 T(x,(y \ 1) * ((y \ 1) * ((z * (y \ 1)) * (y / u)))) = T(x,y \ ((y \ z) / u)). [hyper(272,a,6009,a(flip),b,12032,a),flip(a)]. given #11409 (H,wt=27): 12034 T(x,(y \ 1) * ((y \ 1) * ((z / y) * (y / u)))) = T(x,y \ ((y \ z) / u)). [hyper(58,a,8692,a(flip),b,12033,a)]. given #11410 (H,wt=25): 12035 T(x,(y \ 1) * (y \ ((z / y) * (y / u)))) = T(x,y \ ((y \ z) / u)). [hyper(58,a,8519,a(flip),b,12034,a)]. given #11411 (H,wt=23): 12036 T(x,y \ (y \ ((z / y) * (y / u)))) = T(x,y \ ((y \ z) / u)). [hyper(6112,a,12035,a)]. given #11412 (H,wt=23): 12037 T(x,(y / z) * (z \ (z \ (z / u)))) = T(x,z \ ((z \ y) / u)). [hyper(58,a,11771,a(flip),b,12036,a)]. given #11413 (H,wt=19): 12038 T(x,(y / z) / (u * z)) = T(x,z \ ((z \ y) / u)). [hyper(58,a,9615,a(flip),b,12037,a)]. given #11414 (H,wt=19): 12040 T(x,y \ ((y \ (z * y)) / u)) = T(x,z / (u * y)). [para(6(a,1),12038(a,1,2,1)),flip(a)]. given #11415 (H,wt=17): 12041 T(x,y \ (T(z,y) / u)) = T(x,z / (u * y)). [para(17(a,2),12040(a,1,2,2,1))]. given #11416 (H,wt=34): 10550 x * (L(x,y,z) * (a(L(x,y,z),L(x,y,z),u) * w)) = L(L(x,y,z),L(x,y,z),u) * (x * w). [hyper(1280,a,10548,a)]. given #11417 (H,wt=34): 11280 K(x,L((y / z) / ((u * (w \ 1)) \ 1),w * (u \ 1),z)) = K(x,y / (((u * (w \ 1)) \ 1) * z)). [para(9195(a,1),10631(a,1,2))]. given #11418 (H,wt=32): 12043 K(x,L((y / z) / ((u * (w \ 1)) \ 1),w / u,z)) = K(x,y / (((u * (w \ 1)) \ 1) * z)). [para(9197(a,1),11280(a,1,2))]. given #11419 (H,wt=30): 12044 K(x,L((y / z) * (u * (w \ 1)),w / u,z)) = K(x,y / (((u * (w \ 1)) \ 1) * z)). [hyper(58,a,8275,a(flip),b,12043,a)]. given #11420 (H,wt=28): 12045 K(x,L((y / z) * (u / w),w / u,z)) = K(x,y / (((u * (w \ 1)) \ 1) * z)). [hyper(58,a,9780,a(flip),b,12044,a)]. given #11421 (H,wt=23): 12046 K(x,y / (((z * (u \ 1)) \ 1) * w)) = K(x,y * (w \ (z / u))). [hyper(58,a,11279,a(flip),b,12045,a),flip(a)]. given #11422 (H,wt=21): 12047 K(x,y * (z \ (u * (w \ 1)))) = K(x,y * (z \ (u / w))). [hyper(58,a,9668,a(flip),b,12046,a)]. given #11423 (H,wt=33): 12048 T(x,K(y,z * (u \ (w / v5))) * (z * (u \ (w / v5)))) = T(x,T(z * (u \ (w * (v5 \ 1))),y)). [para(12047(a,1),9838(a,1,2,1))]. given #11424 (H,wt=25): 12049 T(x,T(y * (z \ (u * (w \ 1))),v5)) = T(x,T(y * (z \ (u / w)),v5)). [para(2692(a,2),12048(a,1,2)),flip(a)]. given #11425 (H,wt=23): 12050 T(x,T((y * (z \ y)) / u,w)) = T(x,T(y * (z \ (y / u)),w)). [hyper(11638,a,12049,a)]. given #11426 (H,wt=27): 12051 T(x,T(T((y * z) * z,z) / u,w)) = T(x,T(z * ((y \ 1) \ (z / u)),w)). [hyper(58,a,9908,a,b,12050,a)]. given #11427 (H,wt=27): 12052 T(x,T(T((y * z) * z,z) / u,w)) = T(x,T(z * ((1 \ y) * (z / u)),w)). [hyper(272,a,9896,a(flip),b,12051,a),flip(a)]. given #11428 (H,wt=25): 12053 T(x,T(T((y * z) * z,z) / u,w)) = T(x,T(z * (y * (z / u)),w)). [para(60(a,1),12052(a,2,2,1,2,1))]. given #11429 (H,wt=34): 11698 (x \ (x \ (x \ (x \ (x \ (x \ 1)))))) * L(y,x,x) = y * (1 / (x * (x * (x * (x * (x * x)))))). [para(11697(a,1),7765(a,1,2))]. given #11430 (H,wt=32): 12054 x \ (x \ (x \ (x \ ((x * x) \ L(y,x,x))))) = y * (1 / (x * (x * (x * (x * (x * x)))))). [hyper(58,a,7749,a(flip),b,11698,a)]. given #11431 (H,wt=29): 12055 x * (1 / (y * (y * (y * (y * (y * y)))))) = y \ (y \ (y \ (y \ (y \ (y \ x))))). [para(3524(a,1),12054(a,1,2,2,2,2)),flip(a)]. given #11432 (H,wt=29): 12056 x * (y \ (y \ (y \ (y \ (y \ (y \ 1)))))) = y \ (y \ (y \ (y \ (y \ (y \ x))))). [para(7764(a,1),12055(a,1,2))]. given #11433 (H,wt=31): 12057 x \ (x \ (x \ (x \ ((x * x) \ (y * y))))) = y * (x \ (x \ (x \ (x \ (x \ (x \ y)))))). [para(12056(a,1),7750(a,1,2)),flip(a)]. given #11434 (H,wt=31): 12058 x \ (x \ (x \ (y * ((x * x) \ (y / x))))) = y * (x \ (x \ (x \ (x \ (x \ (x \ y)))))). [para(7781(a,1),12057(a,1,2,2,2))]. given #11435 (H,wt=31): 12059 x \ (x \ (y * (x \ (x \ (x \ (x \ y)))))) = y * (x \ (x \ (x \ (x \ (x \ (x \ y)))))). [para(7787(a,1),12058(a,1,2,2))]. given #11436 (H,wt=29): 12060 T(x,y * (y * (z \ (z \ (z \ (z \ (z \ (z \ y)))))))) = T(x,(z \ (z \ y)) \ 1). [para(12059(a,1),11992(a,1,2,2))]. given #11437 (H,wt=29): 12061 T(x,y * (y * (z \ (z \ (z \ (z \ (z \ (z \ y)))))))) = T(x,(z * z) * (y \ 1)). [para(4416(a,1),12060(a,2,2))]. given #11438 (H,wt=27): 12062 T(x,y * (y * (z \ (z \ (z \ (z \ (z \ (z \ y)))))))) = T(x,(z * z) / y). [hyper(272,a,5988,a(flip),b,12061,a),flip(a)]. given #11439 (H,wt=27): 12063 T(x,y * (y * (z \ (z \ (z \ (z \ (z \ (z \ y)))))))) = T(x,z * (z / y)). [hyper(272,a,8523,a(flip),b,12062,a),flip(a)]. given #11440 (H,wt=34): 11912 T(x,L(y,T(z,u),u * (w * w)) * ((u * (w * w)) * z)) = T(x,(y * T(z,u)) * (u * (w * w))). [hyper(58,a,9183,a(flip),b,11911,a)]. given #11441 (H,wt=34): 12042 x * (L(x,y,z) * (a(u,L(x,y,z),L(x,y,z)) * w)) = L(L(x,y,z),L(x,y,z),u) * (x * w). [para(4244(a,2),10550(a,1,2,2,1))]. given #11442 (H,wt=28): 12066 L(L(x,y,z),L(x,y,z),u) * (x * w) = x * (L(x,y,z) * (a(u,x,x) * w)). [para(10492(a,1),12042(a,1,2,2,1)),flip(a)]. given #11443 (H,wt=28): 12067 L(L(x,y,z),L(x,y,z),u) * (x * w) = x * (L(x,y,z) * (a(x,x,u) * w)). [para(4244(a,1),12066(a,2,2,2,1))]. given #11444 (H,wt=26): 12069 L(L(x,y,z),L(x,y,z),u) * (x * w) = L(x,x,u) * (L(x,y,z) * w). [hyper(272,a,10548,a(flip),b,12067,a),flip(a)]. given #11445 (H,wt=26): 12070 L(L(x,y,z),L(x,y,z),u) * (x * w) = x * (L(L(x,x,u),y,z) * w). [hyper(272,a,10549,a(flip),b,12069,a),flip(a)]. given #11446 (H,wt=26): 12071 L(L(x,y,z),u,L(x,y,z)) * (x * w) = x * (L(L(x,x,u),y,z) * w). [para(10354(a,2),12070(a,1,1))]. given #11447 (H,wt=23): 12072 L(L(x,x,y),z,u) * (x * w) = x * (L(L(x,x,y),z,u) * w). [para(10366(a,1),12071(a,1,1))]. given #11448 (H,wt=20): 12073 x * (L(L(x,x,y),z,u) * y) = (x * L(x,z,u)) * y. [hyper(58,a,6127,a(flip),b,12072,a),flip(a)]. given #11449 (H,wt=19): 12075 x * ((1 / L(x,y,z)) \ u) = (x * L(x,y,z)) * u. [para(10527(a,1),12073(a,1,2))]. given #11450 (H,wt=21): 12076 T((1 / L(x,y,z)) \ u,x) = ((x * L(x,y,z)) * u) / x. [hyper(113,a,12075,a(flip),b,2778,a),flip(a)]. given #11451 (H,wt=19): 12078 T((1 / L(x,y,z)) \ u,x) = L(x,y,z) * T(u,x). [hyper(272,a,5149,a(flip),b,12076,a),flip(a)]. given #11452 (H,wt=21): 12079 T((1 / L(x,y,z)) \ u,x) = ((x \ L(x,y,z)) * u) * x. [hyper(272,a,2542,a,b,12078,a),flip(a)]. given #11453 (H,wt=21): 12080 (1 / x) \ ((x \ L(x,y,z)) * u) = (1 / L(x,y,z)) \ u. [hyper(382,a,12079,a)]. given #11454 (H,wt=17): 12083 (1 / L(x,y,z)) \ x = (1 / x) \ L(x,y,z). [para(2495(a,1),12080(a,1,2)),flip(a)]. given #11455 (H,wt=17): 12084 x / (L(x,y,z) \ 1) = (1 / x) \ L(x,y,z). [hyper(58,a,3363,a,b,12083,a)]. given #11456 (H,wt=19): 12085 (x \ 1) * ((1 / x) \ L(x,x,y)) = L(x,x,x * y). [para(12084(a,1),11157(a,1,2))]. given #11457 (H,wt=18): 12086 (x \ 1) * T((1 / x) \ x,y) = L(x,x,x * y). [para(10363(a,1),12085(a,1,2))]. given #11458 (H,wt=16): 12087 x \ T((1 / x) \ x,y) = L(x,x,x * y). [hyper(58,a,7015,a(flip),b,12086,a)]. given #11459 (H,wt=22): 12077 (x * L(x,y,z)) * u != x * w | (1 / L(x,y,z)) \ u = w. [para(12075(a,1),38(a,1))]. given #11460 (H,wt=23): 12081 (((x \ L(x,y,z)) * u) * x) * x = x * ((1 / L(x,y,z)) \ u). [para(12079(a,1),2778(a,1,1))]. given #11461 (H,wt=21): 12089 (((x \ L(x,y,z)) * u) * x) * x = (x * L(x,y,z)) * u. [hyper(272,a,12075,a(flip),b,12081,a),flip(a)]. given #11462 (H,wt=21): 12090 ((L(x,y,z) * (x \ u)) * x) * x = (x * L(x,y,z)) * u. [para(8307(a,1),12089(a,1,1,1))]. given #11463 (H,wt=21): 12091 (x * x) * (L(x,y,z) * (x \ u)) = (x * L(x,y,z)) * u. [hyper(3255,a,12090,a)]. given #11464 (H,wt=21): 12092 (x * L(x,y,z)) * (x * u) = (x * x) * (L(x,y,z) * u). [para(4(a,1),12091(a,1,2,2)),flip(a)]. given #11465 (H,wt=29): 12082 (1 / (x \ 1)) \ (((x \ 1) \ L(x \ 1,y,z)) * u) = (1 / (x \ a(x,z,y))) \ u. [para(1184(a,1),12080(a,2,1,2))]. given #11466 (H,wt=25): 12093 x \ (((x \ 1) \ L(x \ 1,y,z)) * u) = (1 / (x \ a(x,z,y))) \ u. [para(72(a,1),12082(a,1,1))]. given #11467 (H,wt=19): 12095 (1 / (x \ a(x,y,z))) \ u = x \ (a(x,y,z) * u). [para(2503(a,2),12093(a,1,2,1)),flip(a)]. given #11468 (H,wt=17): 12096 (a(x,y,z) \ x) \ u = x \ (a(x,y,z) * u). [para(10265(a,1),12095(a,1,1))]. given #11469 (H,wt=22): 12097 T(x \ (a(x,y,z) * u),L(x,y,z)) = u / (a(x,y,z) \ x). [para(12096(a,1),11951(a,1,1))]. given #11470 (H,wt=22): 12098 L((a(x,y,z) * u) / x,x,K(y,z)) = u / (a(x,y,z) \ x). [hyper(58,a,10732,a,b,12097,a)]. given #11471 (H,wt=22): 12099 L(a(x,y,z) * (u / x),x,K(y,z)) = u / (a(x,y,z) \ x). [para(8328(a,1),12098(a,1,1))]. given #11472 (H,wt=17): 12100 x / (a(y,z,u) \ y) = (x / y) * a(y,z,u). [hyper(58,a,10835,a(flip),b,12099,a),flip(a)]. given #11473 (H,wt=24): 12101 T(((x / y) * a(y,z,u)) \ 1,L(y,z,u)) = x \ (a(y,z,u) \ y). [para(12100(a,1),11950(a,1,1,1))]. given #11474 (H,wt=24): 12102 T(a(x,y,z) \ ((u / x) \ 1),L(x,y,z)) = u \ (a(x,y,z) \ x). [para(10814(a,1),12101(a,1,1))]. given #11475 (H,wt=32): 12088 T(x,y) \ T((1 / T(x,y)) \ T(x,y),K(y,z)) = L(T(x,y),T(x,y),y \ (x * T(y,z))). [para(4609(a,2),12087(a,2,3))]. given #11476 (H,wt=28): 12103 L(T(x,y),T(x,y),y \ (x * T(y,z))) = T(x,y) \ T((1 / x) \ x,K(y,z)). [para(5658(a,1),12088(a,1,2,1)),flip(a)]. given #11477 (H,wt=24): 12104 L(T(x,y),T(x,y),y \ (x * T(y,z))) = T(x,y) \ ((1 / x) \ x). [para(5570(a,1),12103(a,2,2))]. given #11478 (H,wt=24): 12106 L(T(x,y),T(x,y),y \ (x * T(y,z))) = x * ((T(x,y) \ 1) * x). [hyper(272,a,6266,a(flip),b,12104,a),flip(a)]. given #11479 (H,wt=24): 12108 L(T(x,y),T(x,y),y \ (x * T(y,z))) = x * (T(x,y) * (1 / x)). [para(5750(a,1),12106(a,2,2))]. given #11480 (H,wt=24): 12109 L(T(x,y),T(x,y),y \ (x * T(y,z))) = x * K(x \ 1,x * y). [para(4092(a,2),12108(a,2,2))]. given #11481 (H,wt=22): 12110 L(T(x,y),T(x,y),y \ (x * T(y,z))) = T(x,x * (y * x)). [hyper(272,a,11894,a(flip),b,12109,a),flip(a)]. given #11482 (H,wt=16): 12111 L(T(x,y),T(x,y),x) = T(x,x * (y * x)). [para(207(a,1),12110(a,1,3))]. given #11483 (H,wt=14): 12112 T(x,x * (y * x)) = L(T(x,y),x,x). [hyper(58,a,10739,a(flip),b,12111,a),flip(a)]. given #11484 (H,wt=14): 12115 T(x,x * (x * y)) = L(T(x,y),x,x). [hyper(58,a,11893,a(flip),b,12112,a)]. given #11485 (H,wt=14): 12116 T(x,x \ (x \ y)) = L(T(x,y),x,x). [hyper(58,a,8860,a,b,12115,a)]. given #11486 (H,wt=18): 12114 T(x,x * ((y * x) * z)) = L(T(x,y * z),x,x). [hyper(58,a,11896,a(flip),b,12112,a)]. given #11487 (H,wt=18): 12117 T(x,y * (x \ (x \ z))) = L(T(x,y * z),x,x). [hyper(58,a,11771,a(flip),b,12116,a)]. given #11488 (H,wt=18): 12118 T(x,y * (x * (z * x))) = L(T(x,y * z),x,x). [hyper(58,a,11910,a,b,12114,a)]. given #11489 (H,wt=18): 12119 L(T(x,y * (x * z)),x,x) = T(x,y * (x \ z)). [para(4(a,1),12117(a,1,2,2,2)),flip(a)]. given #11490 (H,wt=18): 12121 T(x,x * (y * (x * z))) = L(T(x,y * z),x,x). [hyper(58,a,11895,a(flip),b,12118,a)]. given #11491 (H,wt=28): 12120 L(T(x,y * (((1 / x) \ z) * u)),x,x) = T(x,y * (x \ ((z * (u / x)) * x))). [para(666(a,1),12117(a,1,2,2,2)),flip(a)]. given #11492 (H,wt=28): 12124 L(T(x,y * (((x / 1) * z) * u)),x,x) = T(x,y * (x \ ((z * (u / x)) * x))). [para(9877(a,1),12120(a,1,1))]. given #11493 (H,wt=26): 12125 T(x,y * (x \ ((z * (u / x)) * x))) = L(T(x,y * ((x * z) * u)),x,x). [para(70(a,1),12124(a,1,1,2,2,1,1)),flip(a)]. given #11494 (H,wt=24): 12126 L(T(x,y * ((x * z) * u)),x,x) = T(x,y * T(z * (u / x),x)). [para(17(a,2),12125(a,1,2,2)),flip(a)]. given #11495 (H,wt=22): 12127 L(T(x,y * ((x * z) * u)),x,x) = T(x,y * (z * (u / x))). [hyper(272,a,5362,a(flip),b,12126,a),flip(a)]. given #11496 (H,wt=22): 12128 L(T(x,y * ((x * z) * u)),x,x) = T(x,y * (z * (x \ u))). [hyper(272,a,6350,a(flip),b,12127,a),flip(a)]. given #11497 (H,wt=32): 12122 L(T(x \ y,x * ((x \ y) * (y * y))),x \ y,x \ y) = T(x \ y,x / ((y * x) \ 1)). [para(11288(a,1),12119(a,2,2))]. given #11498 (H,wt=32): 12123 L(T(x,(y * ((1 / (x * z)) \ y)) * z),x,x) = T(x,x * ((y * (x * z)) * (y * (x * z)))). [para(4619(a,1),12121(a,1,2,2)),flip(a)]. given #11499 (H,wt=29): 12130 L(T(x,(y * ((1 / (x * z)) \ y)) * z),x,x) = L(x,y * (x * z),y * (x * z)). [hyper(272,a,3796,a(flip),b,12123,a),flip(a)]. given #11500 (H,wt=29): 12131 L(T(x,y * ((1 / (x * z)) \ (y * z))),x,x) = L(x,y * (x * z),y * (x * z)). [para(11475(a,1),12130(a,1,1))]. given #11501 (H,wt=27): 12132 L(T(x,y * ((x * z) * (y * z))),x,x) = L(x,y * (x * z),y * (x * z)). [para(8518(a,1),12131(a,1,1))]. given #11502 (H,wt=24): 12133 L(x,y * (x * z),y * (x * z)) = T(x,y * (z * (x \ (y * z)))). [hyper(58,a,12128,a(flip),b,12132,a),flip(a)]. given #11503 (H,wt=32): 12129 L(T(x \ y,x * (y * (y * (x \ y)))),x \ y,x \ y) = T(x \ y,x / ((y * x) \ 1)). [para(2956(a,1),12122(a,1,1,2,2))]. given #11504 (H,wt=28): 12134 L(T(x \ y,y * (y * y)),x \ y,x \ y) = T(x \ y,x / ((y * x) \ 1)). [para(5073(a,1),12129(a,1,1,2))]. given #11505 (H,wt=26): 12136 L(T(x \ y,y \ 1),x \ y,x \ y) = T(x \ y,x / ((y * x) \ 1)). [para(7737(a,1),12134(a,1,1))]. given #11506 (H,wt=26): 12137 L((x \ T(y,x)) \ 1,y \ x,y \ x) = T(y \ x,y / ((x * y) \ 1)). [para(4595(a,1),12136(a,1,1))]. given #11507 (H,wt=35): 11628 L(x,y * ((z \ u) * w),y * (T(u / z,z) * w)) = L(x,y * ((u / z) * w),y * ((u / z) * w)). [para(100(a,1),11627(a,1,2,2,1))]. given #11508 (H,wt=33): 12138 L(x,y * ((z / u) * w),y * ((z / u) * w)) = L(x,y * ((u \ z) * w),y * ((u \ z) * w)). [para(100(a,1),11628(a,1,3,2,1)),flip(a)]. given #11509 (H,wt=35): 11819 T(x,T(y * T((z * u) * u,w),z * (u * u))) = T(x,(z * (u * u)) * (y * K(z * (u * u),w))). [hyper(58,a,10161,a(flip),b,11817,a),flip(a)]. given #11510 (H,wt=31): 12139 T(x,(y * (z * z)) * (u * K(y * (z * z),w))) = T(x,T(u * T((y * z) * z,w),y)). [hyper(11230,a,11819,a),flip(a)]. given #11511 (H,wt=25): 12140 T(x,T(y * T((z * u) * u,w),z)) = T(x,T(z * (u * u),w) * y). [hyper(10930,a,12139,a),flip(a)]. given #11512 (H,wt=35): 11843 T(x,(y * ((z \ u) * (z \ u))) * T(w,(z \ u) * (z \ u))) = T(x,(y * w) * (u * (z \ (u / z)))). [hyper(272,a,9449,a(flip),b,11842,a),flip(a)]. given #11513 (H,wt=34): 12142 T(x,(y * ((z \ u) * (z \ u))) * L(w,z \ u,z \ u)) = T(x,(y * w) * (u * (z \ (u / z)))). [para(2952(a,1),11843(a,1,2,2))]. given #11514 (H,wt=27): 12143 T(x,(y * ((z \ u) * (z \ u))) * w) = T(x,(y * w) * (u * (z \ (u / z)))). [hyper(58,a,8461,a(flip),b,12142,a)]. given #11515 (H,wt=27): 12145 T(x,(y * z) * (u * (w \ (u / w)))) = T(x,y * (z * ((w \ u) * (w \ u)))). [hyper(58,a,11857,a(flip),b,12143,a),flip(a)]. given #11516 (H,wt=27): 12146 T(x,(y * z) * (u * (w \ (u / w)))) = T(x,y * (z * (u * (w \ (u / w))))). [hyper(272,a,8916,a(flip),b,12145,a),flip(a)]. given #11517 (H,wt=36): 10824 a(x,y,z) \ ((y * (u * a(x,y,z))) / a(x,y,z)) = (y / a(x,y,z)) * L(u,a(x,y,z),a(x,y,z)). [para(10815(a,2),2019(a,2,1))]. given #11518 (H,wt=36): 11053 K(a(x,y,z),T(u \ 1,w)) * T(T(a(x,y,z),u),v5) = T(T(a(x,y,z),T(v5,u \ 1)),K(u \ 1,w)). [para(10303(a,1),10944(a,1,2,1))]. given #11519 (H,wt=36): 11709 L(x,(y * (z * u)) \ (z * y),(y * (z * u)) \ (z * y)) = L(x,L(u,z,y),(y * z) \ (y * (z * u))). [para(13(a,2),11708(a,1,2)),flip(a)]. given #11520 (H,wt=31): 12149 L(x,(y * (z * u)) \ (z * y),(y * (z * u)) \ (z * y)) = L(x,L(u,z,y),L(u,z,y)). [para(13(a,2),11709(a,2,3))]. given #11521 (H,wt=36): 11865 T(x,L(T(y,y \ z),u,w) * (T(v5,L(T(y,y \ z),u,w)) * z)) = T(x,v5 * (z / (1 / L(y,u,w)))). [para(8141(a,1),11860(a,2,2,2))]. given #11522 (H,wt=34): 12150 T(x,L(T(y,y \ z),u,w) * (T(v5,L(T(y,z),u,w)) * z)) = T(x,v5 * (z / (1 / L(y,u,w)))). [para(6885(a,1),11865(a,1,2,2,1))]. given #11523 (H,wt=31): 12151 T(x,L(T(y,y \ z),u,w) * (T(v5,T(y,z)) * z)) = T(x,v5 * (z / (1 / L(y,u,w)))). [hyper(58,a,11495,a(flip),b,12150,a)]. given #11524 (H,wt=29): 12153 T(x,L(T(y,y \ z),u,w) * (T(v5,y) * z)) = T(x,v5 * (z / (1 / L(y,u,w)))). [hyper(58,a,11351,a(flip),b,12151,a)]. given #11525 (H,wt=36): 12148 K(a(x,y,z),T(u,w) \ 1) * T(T(a(x,y,z),u),v5) = T(T(a(x,y,z),T(v5,u \ 1)),K(u \ 1,w)). [para(4490(a,1),11053(a,1,1))]. given #11526 (H,wt=34): 12155 a(x,y,K(z,T(u,w))) * T(T(a(x,y,z),u),v5) = T(T(a(x,y,z),T(v5,u \ 1)),K(u \ 1,w)). [para(10289(a,1),12148(a,1,1))]. given #11527 (H,wt=15): 12156 a(x,y,K(z,T(u,w))) = a(x,y,K(z,u)). [hyper(30,a,11067,a(flip),b,12155,a),flip(a)]. given #11528 (H,wt=17): 12158 a(x,y,K(z,u / w)) = a(x,y,K(z,w \ u)). [para(100(a,1),12156(a,1,3,2)),flip(a)]. given #11529 (H,wt=17): 12166 a(x,y,K(z / u,w)) = a(x,y,K(w,u \ z)). [para(28(a,1),12158(a,1,3))]. given #11530 (H,wt=12): 12169 a(x,y,K(z,y \ (u * u))) = 1. [hyper(58,a,10694,a(flip),b,12166,a),flip(a)]. given #11531 (H,wt=10): 12170 a(x,y * y,K(z,u)) = 1. [hyper(58,a,10657,a(flip),b,12169,a)]. given #11532 (H,wt=21): 12157 a(x,y,K(z,L(T(u,w),v5,v6))) = a(x,y,K(z,L(u,v5,v6))). [para(20(a,2),12156(a,1,3,2))]. given #11533 (H,wt=21): 12162 a(x,y,K(z,(u \ w) * v5)) = a(x,y,K(z,w * (v5 / u))). [para(11997(a,1),12156(a,1,3))]. given #11534 (H,wt=21): 12163 a(x,y,K(z,u \ (w * v5))) = a(x,y,K(z,(v5 / u) * w)). [para(12011(a,1),12156(a,1,3))]. given #11535 (H,wt=21): 12168 a(x,y,K(z,(z * u) \ w)) = a(x,y,K(z,z \ (w / u))). [para(8077(a,1),12158(a,1,3)),flip(a)]. given #11536 (H,wt=19): 12172 a(x,y,K(z,(z * u) \ w)) = a(y,w / u,K(z,x)). [hyper(272,a,10643,a(flip),b,12168,a),flip(a)]. given #11537 (H,wt=19): 12173 a(x,y,K(z,(z * u) \ w)) = a(y,w / u,K(x,z)). [para(28(a,1),12172(a,2,3))]. given #11538 (H,wt=19): 12174 a(x,y,K(z,z \ (u \ w))) = a(y,w / u,K(x,z)). [para(8051(a,1),12173(a,1,3))]. given #11539 (H,wt=17): 12175 a(x,y / z,K(u,w)) = a(x,z \ y,K(w,u)). [hyper(58,a,10643,a(flip),b,12174,a),flip(a)]. given #11540 (H,wt=17): 12176 a(x,y / z,K(u,w)) = a(x,z \ y,K(u,w)). [para(28(a,1),12175(a,1,3))]. given #11541 (H,wt=21): 12171 (x * (y * (y * K(z,u)))) * 1 = (x * (y * y)) * K(z,u). [para(12170(a,1),5675(a,1,2))]. given #11542 (H,wt=19): 12178 (x * (y * y)) * K(z,u) = x * (y * (y * K(z,u))). [hyper(120,a,12171,a),flip(a)]. given #11543 (H,wt=21): 12177 a(x,(y * z) \ z,K(u,w)) = a(x,z \ (z / y),K(u,w)). [para(3305(a,1),12176(a,1,2)),flip(a)]. given #11544 (H,wt=17): 12182 a(x,(y * z) \ z,K(u,w)) = a(w,x,K(y,u)). [hyper(272,a,10678,a(flip),b,12177,a),flip(a)]. given #11545 (H,wt=24): 12164 a(x,L((y / z) / u,u,z),K(w,v5)) = a(v5,x,K(w,(u * z) \ y)). [hyper(58,a,10649,a,b,12158,a)]. given #11546 (H,wt=25): 12180 x * ((y \ z) * ((y \ z) * K(x,u))) = (z / y) * ((z / y) * T(x,u)). [hyper(58,a,7534,a(flip),b,12178,a),flip(a)]. given #11547 (H,wt=23): 12184 (x / y) * ((x / y) * T(z,u)) = (y \ x) * ((y \ x) * T(z,u)). [hyper(58,a,5009,a(flip),b,12180,a),flip(a)]. given #11548 (H,wt=25): 12185 T(x,(y \ z) * ((y \ z) * T(u,z))) = T(x,(z * u) * (y \ (z / y))). [para(12184(a,1),11964(a,1,2))]. given #11549 (H,wt=23): 12186 T(x,(y * z) * (u \ (y / u))) = T(x,y * (z * (u \ (y / u)))). [hyper(58,a,12020,a(flip),b,12185,a),flip(a)]. given #11550 (H,wt=26): 12167 a(x,y,K(z,(u * w) \ ((u * v5) * w))) = a(x,y,K(z,R(T(v5,u),u,w))). [para(5808(a,1),12158(a,1,3)),flip(a)]. given #11551 (H,wt=26): 12181 (x * (y * (y * K(z,u)))) / (y * (y * K(z,u))) = L(x,y * y,K(z,u)). [para(12178(a,1),10705(a,1,1))]. given #11552 (H,wt=10): 12191 L(x,y * y,K(z,u)) = x. [hyper(279,a,12181,a),flip(a)]. given #11553 (H,wt=13): 12195 T(x,L(y * y,z,u)) = L(x,y,y). [hyper(58,a,10733,a(flip),b,12191,a)]. given #11554 (H,wt=17): 12192 x / a(y,z,u * u) = a(y,z,u * u) \ x. [hyper(10720,a,12191,a),flip(a)]. given #11555 (H,wt=19): 12194 T(T(x,y * y),K(z,u)) = T(x,y * (y * K(z,u))). [hyper(58,a,11059,a(flip),b,12191,a)]. given #11556 (H,wt=18): 12201 T(x,y * (y * K(z,u))) = T(L(x,y,y),K(z,u)). [para(2952(a,1),12194(a,1,1)),flip(a)]. given #11557 (H,wt=18): 12202 T(x,y * (y * K(z,u))) = L(T(x,K(z,u)),y,y). [hyper(272,a,20,a,b,12201,a),flip(a)]. given #11558 (H,wt=16): 12203 L(T(x,K(y,z)),y,y) = T(x,y * T(y,z)). [para(2674(a,2),12202(a,1,2,2)),flip(a)]. given #11559 (H,wt=16): 12204 L(T(x,y * T(y,z)),y,y) = T(x,K(y,z)). [hyper(2973,a,12203,a)]. given #11560 (H,wt=17): 12205 T(x,y \ (y \ K(y,z))) = T(x,y * T(y,z)). [hyper(58,a,11250,a,b,12203,a)]. given #11561 (H,wt=17): 12207 T(x,y \ (T(y,z) \ 1)) = T(x,y * T(y,z)). [hyper(58,a,9626,a,b,12205,a)]. given #11562 (H,wt=17): 12208 T(x,y \ T(y \ 1,z)) = T(x,y * T(y,z)). [hyper(58,a,8654,a,b,12207,a)]. given #11563 (H,wt=17): 12209 T(x,(y * (z * y)) \ z) = T(x,y * T(y,z)). [hyper(58,a,5071,a,b,12207,a)]. given #11564 (H,wt=17): 12212 T(x,y \ (z \ (y / z))) = T(x,z * T(z,y)). [hyper(58,a,6507,a(flip),b,12208,a)]. given #11565 (H,wt=20): 12196 x / a(y,z,u * u) != w | a(y,z,u * u) \ x = w. [para(12191(a,1),10720(a,1))]. given #11566 (H,wt=20): 12198 L(x * x,y,z) * L(u,x,x) = u * L(x * x,y,z). [hyper(114,a,12195,a(flip),b,17,a(flip))]. given #11567 (H,wt=22): 12199 R(x * x,y,z) \ L(u,x,x) = u * (R(x * x,y,z) \ 1). [para(12195(a,1),10617(a,1,2))]. given #11568 (H,wt=23): 12213 (x * T(x,y)) * T(z,x * T(x,y)) = z / (x \ (T(x,y) \ 1)). [para(12209(a,1),6843(a,1,2))]. given #11569 (H,wt=17): 12214 x / (y \ (T(y,z) \ 1)) = x * (y * T(y,z)). [hyper(248,a,12213,a),flip(a)]. given #11570 (H,wt=17): 12215 x * (y \ (T(y,z) \ 1)) = x / (y * T(y,z)). [hyper(277,a,12214,a)]. given #11571 (H,wt=21): 12216 x / ((1 / y) * T(1 / y,z)) = x * (T(1 / y,z) \ y). [para(1018(a,1),12215(a,1,2)),flip(a)]. given #11572 (H,wt=19): 12218 x / (y \ T(1 / y,z)) = x * (T(1 / y,z) \ y). [para(6697(a,1),12216(a,1,2))]. given #11573 (H,wt=21): 12217 L(x,y,(z / u) / T(u,w)) = L(x,y,z / (u * T(u,w))). [para(12215(a,1),8970(a,1,3)),flip(a)]. given #11574 (H,wt=23): 12221 L(x,y,z * (u \ T(u \ 1,w))) = L(x,y,z / (u * T(u,w))). [hyper(58,a,9065,a,b,12217,a)]. given #11575 (H,wt=24): 12206 L(T(T(x,y * T(y,z)) \ 1,u),y,y) = T(T(x,K(y,z)) \ 1,u). [para(12204(a,1),3803(a,2,1,1))]. given #11576 (H,wt=25): 12210 T(x,y * T(y,z)) * (y \ (T(y,z) \ 1)) = (y \ (T(y,z) \ 1)) * x. [para(12207(a,1),2778(a,1,1))]. given #11577 (H,wt=17): 12223 (x \ (T(x,y) \ 1)) * z = (x * T(x,y)) \ z. [hyper(4109,a,12210,a),flip(a)]. given #11578 (H,wt=17): 12224 (x \ (T(x,y) \ 1)) \ z = (x * T(x,y)) * z. [hyper(112,a,4,a(flip),b,12223,a)]. given #11579 (H,wt=17): 12225 K(x,y) * ((x * x) \ z) = (x * T(x,y)) \ z. [hyper(58,a,8821,a,b,12223,a)]. given #11580 (H,wt=17): 12226 (x \ (y \ (x \ y))) \ z = (x * T(x,y)) * z. [para(2999(a,1),12224(a,1,1,2))]. given #11581 (H,wt=17): 12227 (1 / x) * (T(x,y) \ z) = (x * T(x,y)) \ z. [hyper(10876,a,12225,a)]. given #11582 (H,wt=17): 12228 T(x,y) \ ((x \ 1) * z) = (x * T(x,y)) \ z. [hyper(4275,a,12225,a)]. given #11583 (H,wt=17): 12230 (x * T(x,y)) \ ((x \ 1) \ z) = T(x,y) \ z. [para(5(a,1),12228(a,1,2)),flip(a)]. given #11584 (H,wt=21): 12229 L(x,y,(z * T(z,u)) \ w) = L(x,y,z \ (T(z,u) \ w)). [para(12227(a,1),8939(a,1,3))]. given #11585 (H,wt=26): 12190 a(x,y,K(z,(u * w) \ ((u * v5) * w))) = a(x,y,K(z,L(T(v5,u),u,w))). [para(10604(a,1),12167(a,2,3))]. given #11586 (H,wt=24): 12232 a(x,y,K(z,(u * w) \ ((u * v5) * w))) = a(x,y,K(z,L(v5,u,w))). [hyper(272,a,12157,a(flip),b,12190,a),flip(a)]. given #11587 (H,wt=24): 12234 a(x,y,K(z,(u / (w * u)) * (w * v5))) = a(x,y,K(z,L(v5,w,u))). [hyper(58,a,12163,a(flip),b,12232,a)]. given #11588 (H,wt=20): 12235 a(x,y,K(z,L(u,w,v5))) = a(x,y,K(z,w \ (w * u))). [para(8607(a,1),12234(a,1,3)),flip(a)]. given #11589 (H,wt=16): 12236 a(x,y,K(z,L(u,w,v5))) = a(x,y,K(z,u)). [para(4(a,1),12235(a,2,3,2))]. given #11590 (H,wt=16): 12239 a(L(x,y,z),u,K(w,v5)) = a(u,w,K(v5,x)). [hyper(58,a,10682,a,b,12236,a)]. given #11591 (H,wt=16): 12240 a(x,L(y,z,u),K(w,v5)) = a(v5,x,K(y,w)). [hyper(58,a,10656,a,b,12236,a)]. given #11592 (H,wt=16): 12245 a(L(x,y,z),u,K(w,v5)) = a(u,w,K(x,v5)). [para(28(a,1),12239(a,2,3))]. given #11593 (H,wt=20): 12248 a(x,a(y,z,u) \ y,K(w,v5)) = a(v5,x,K(y \ 1,w)). [hyper(58,a,10845,a(flip),b,12240,a)]. given #11594 (H,wt=18): 12251 a(x,a(y,z,u) \ y,K(w,v5)) = a(v5,x,K(w,y)). [hyper(272,a,9389,a(flip),b,12248,a),flip(a)]. given #11595 (H,wt=18): 12252 a(x,a(y,z,u) \ y,K(w,v5)) = a(v5,x,K(y,w)). [para(28(a,1),12251(a,2,3))]. given #11596 (H,wt=21): 12241 a(x,y,K(z,(u * w) \ v5)) = a(x,y,K(z,w \ (u \ v5))). [para(254(a,1),12236(a,1,3,2))]. given #11597 (H,wt=21): 12242 T(a(x,y,z),L(u,w,v5)) = a(x,y,K(z,u)) * a(x,y,z). [para(12236(a,1),10285(a,1,1)),flip(a)]. given #11598 (H,wt=16): 12253 T(a(x,y,z),L(u,w,v5)) = T(a(x,y,z),u). [hyper(272,a,10285,a(flip),b,12242,a),flip(a)]. given #11599 (H,wt=21): 12247 a(x,y,K((z / u) / w,v5)) = a(x,y,K(v5,(w * u) \ z)). [hyper(58,a,12164,a(flip),b,12240,a),flip(a)]. given #11600 (H,wt=21): 12255 T(a(x,y,z),u * (w * K(v5,v6))) = T(a(x,y,z),u * w). [hyper(58,a,11407,a,b,12253,a)]. given #11601 (H,wt=17): 12260 T(a(x,y,z),u * K(w,v5)) = T(a(x,y,z),u). [para(2881(a,1),12255(a,1,2)),flip(a)]. given #11602 (H,wt=19): 12261 T(a(x,y,z),u * (w / T(u,v5))) = T(a(x,y,z),w). [hyper(11048,a,12260,a)]. given #11603 (H,wt=21): 12258 a(x,y,K(z,(u * w) \ v5)) = a(x,y,K(z,u \ (v5 / w))). [hyper(58,a,12166,a(flip),b,12247,a),flip(a)]. given #11604 (H,wt=21): 12262 a(x,y,K(z,u \ (w \ v5))) = a(x,y,K(z,w \ (v5 / u))). [hyper(58,a,12241,a(flip),b,12258,a)]. given #11605 (H,wt=25): 12249 L(1 / L(x,y,z),K(u,w),v5) \ 1 = a(v5,u,K(x,w)) * L(x,y,z). [para(12245(a,1),7955(a,2,1))]. given #11606 (H,wt=25): 12263 L(1 / L(x,y,z),u,K(w,v5)) \ 1 = a(w,v5,K(x,u)) * L(x,y,z). [para(10745(a,1),12249(a,1,1))]. given #11607 (H,wt=25): 12264 (1 / L(L(x,y,z),u,K(w,v5))) \ 1 = a(w,v5,K(x,u)) * L(x,y,z). [para(10774(a,1),12263(a,1,1))]. given #11608 (H,wt=21): 12265 a(x,y,K(z,u)) * L(z,w,v5) = L(L(z,w,v5),u,K(x,y)). [hyper(290,a,12264,a),flip(a)]. given #11609 (H,wt=23): 12267 L(x,y,K(z,u)) \ L(x,w,v5) = x \ L(L(x,w,v5),y,K(z,u)). [hyper(112,a,12265,a(flip),b,10723,a),flip(a)]. given #11610 (H,wt=20): 12268 x \ L(L(x,y,z),u,K(z,y)) = T(x \ L(x,y,z),u). [hyper(58,a,11294,a(flip),b,12267,a),flip(a)]. given #11611 (H,wt=17): 12269 T(x \ L(x,y,z),u) = x \ L(x,y,T(z,u)). [para(10741(a,1),12268(a,1,2)),flip(a)]. given #11612 (H,wt=19): 12270 (1 / x) \ L(1 / x,y,T(z,u)) = T(a(x,z,y),u). [para(1180(a,2),12269(a,1,1)),flip(a)]. given #11613 (H,wt=13): 12271 a(x,T(y,z),u) = T(a(x,y,u),z). [hyper(1209,a,12270,a)]. given #11614 (H,wt=15): 12273 (a(x,y,z) \ u) \ u = a(x,T(y,u),z). [hyper(272,a,10826,a,b,12271,a)]. given #11615 (H,wt=15): 12275 x * a(y,T(z,x),u) = a(y,z,u) * x. [hyper(114,a,12271,a,b,17,a(flip))]. given #11616 (H,wt=16): 12272 T(a(x,y,z),u) != w | a(x,T(y,u),z) = w. [para(12270(a,1),1209(a,1))]. given #11617 (H,wt=20): 12276 x * T(a(x \ 1,y,z),u) != w | L(x,z,T(y,u)) = w. [para(12271(a,1),1198(a,1,2))]. given #11618 (H,wt=21): 12278 L(x,y,z) * a(y,z,K(x,u)) != w | L(x,y,T(z,u)) = w. [para(10693(a,2),12276(a,1))]. given #11619 (H,wt=27): 12219 (x \ (1 * (T(1 / y,z) \ y))) \ 1 = T(y \ 1,z) * (y \ ((x \ 1) \ 1)). [para(12218(a,1),7284(a,1,1,2))]. given #11620 (H,wt=25): 12279 T(x \ 1,y) * (x \ ((z \ 1) \ 1)) = (z \ (T(1 / x,y) \ x)) \ 1. [para(2(a,1),12219(a,1,1,2)),flip(a)]. given #11621 (H,wt=19): 12280 (x \ (T(1 / y,x) \ y)) \ 1 = y \ (1 / (y / x)). [hyper(7286,a,12279,a),flip(a)]. given #11622 (H,wt=22): 12282 (x \ (T(1 / y,x) \ y)) \ 1 != z | y \ (1 / (y / x)) = z. [para(12279(a,1),7286(a,1))]. given #11623 (H,wt=28): 12222 L(x,y,(z \ a(u,w,w)) / (v5 * T(v5,v6))) = L(x,y,z \ (v5 \ T(v5 \ 1,v6))). [hyper(58,a,9085,a(flip),b,12221,a),flip(a)]. given #11624 (H,wt=25): 12283 L(x,y,z \ ((u * T(u,w)) \ 1)) = L(x,y,z \ (u \ T(u \ 1,w))). [hyper(58,a,9089,a(flip),b,12222,a)]. given #11625 (H,wt=25): 12284 L(x,y,z \ (u \ T(u \ 1,w))) = L(x,y,z \ (u \ (T(u,w) \ 1))). [para(4048(a,1),12283(a,1,3,2)),flip(a)]. given #11626 (H,wt=29): 12187 T(x,y * (T(z,u \ (y / u)) * (u \ (y / u)))) = T(x,((u \ (y / u)) * y) * z). [hyper(58,a,12016,a(flip),b,12186,a),flip(a)]. given #11627 (H,wt=23): 12285 T(x,((y \ (z / y)) * z) * u) = T(x,z * ((y \ (z / y)) * u)). [para(2778(a,1),12187(a,1,2,2)),flip(a)]. given #11628 (H,wt=23): 12286 T(x,(y * ((z \ y) / z)) * u) = T(x,y * ((z \ (y / z)) * u)). [para(6721(a,1),12285(a,1,2,1))]. given #11629 (H,wt=23): 12287 T(x,(y * (z \ (y / z))) * u) = T(x,y * ((z \ (y / z)) * u)). [hyper(58,a,8678,a(flip),b,12286,a)]. given #11630 (H,wt=23): 12288 T(x,(y \ (z * (y \ z))) * u) = T(x,z * ((y \ (z / y)) * u)). [hyper(58,a,9580,a,b,12287,a)]. given #11631 (H,wt=25): 12289 T(x,(y * T(y,z)) * (z \ (z \ u))) = T(x,y * ((z \ (y / z)) * u)). [hyper(58,a,11994,a,b,12288,a)]. given #11632 (H,wt=25): 12290 T(x,y * (T(y,z) * (z \ (z \ u)))) = T(x,y * ((z \ (y / z)) * u)). [hyper(58,a,8543,a(flip),b,12289,a)]. given #11633 (H,wt=23): 12291 T(x,y * (z \ (y * (z \ u)))) = T(x,y * ((z \ (y / z)) * u)). [hyper(58,a,11975,a(flip),b,12290,a)]. given #11634 (H,wt=29): 12220 T(((x \ 1) \ 1) * (T(1 / y,z) \ y),x \ 1) = 1 / (x \ (y \ T(1 / y,z))). [para(12218(a,1),10103(a,1,1))]. given #11635 (H,wt=25): 12292 (T(1 / x,y) \ x) * (1 / (z \ 1)) = 1 / (z \ (x \ T(1 / x,y))). [hyper(3343,a,12220,a)]. given #11636 (H,wt=21): 12293 1 / (x \ (y \ T(1 / y,z))) = (T(1 / y,z) \ y) * x. [para(72(a,1),12292(a,1,2)),flip(a)]. given #11637 (H,wt=19): 12295 (T(1 / x,y) \ x) * z = x * (T(x \ 1,y) \ z). [hyper(58,a,10105,a(flip),b,12293,a),flip(a)]. given #11638 (H,wt=31): 12231 ((x / y) \ ((y \ 1) \ x)) * ((x / y) * z) = (T(1 / y,x) \ y) * ((T(y,x) \ x) * z). [para(12230(a,1),7793(a,1,2,1)),flip(a)]. given #11639 (H,wt=31): 12296 ((x / y) \ ((y \ 1) \ x)) * ((x / y) * z) = y * (T(y \ 1,x) \ ((T(y,x) \ x) * z)). [hyper(272,a,12295,a(flip),b,12231,a),flip(a)]. given #11640 (H,wt=25): 12297 ((x / y) \ ((y \ 1) \ x)) * ((x / y) * z) = y * ((x * (z * y)) / y). [para(9556(a,1),12296(a,2,2))]. given #11641 (H,wt=21): 12298 (x * T(x,y)) * ((y / x) * z) = x * ((y * (z * x)) / x). [para(6972(a,1),12297(a,1,1))]. given #11642 (H,wt=33): 12211 L(x,y,(T(z,u * T(u,w)) \ 1) * (u \ T(1 / u,w))) = L(x,y,(u \ T(1 / u,w)) / z). [para(12207(a,1),9016(a,1,3,1,1))]. given #11643 (H,wt=31): 12299 L(x,y,T(z,u * T(u,w)) \ (u \ T(1 / u,w))) = L(x,y,(u \ T(1 / u,w)) / z). [hyper(58,a,8989,a(flip),b,12211,a)]. given #11644 (H,wt=31): 12300 L(x,y,T(z,u * T(u,w)) \ (u \ T(u \ 1,w))) = L(x,y,(u \ T(1 / u,w)) / z). [hyper(58,a,9152,a(flip),b,12299,a)]. given #11645 (H,wt=31): 12301 L(x,y,T(z,u * T(u,w)) \ (u \ (T(u,w) \ 1))) = L(x,y,(u \ T(1 / u,w)) / z). [hyper(58,a,12284,a(flip),b,12300,a)]. given #11646 (H,wt=25): 12302 L(x,y,(z \ T(1 / z,u)) / w) = L(x,y,(z * T(z,u)) \ (w \ 1)). [para(4357(a,1),12301(a,1,3)),flip(a)]. given #11647 (H,wt=25): 12303 L(x,y,(z \ T(1 / z,u)) / w) = L(x,y,z \ (T(z,u) \ (w \ 1))). [hyper(272,a,12229,a(flip),b,12302,a),flip(a)]. given #11648 (H,wt=33): 12256 ((L(x,y,z) / T(a(x \ 1,z,y),x)) * u) * a(x \ 1,z,y) = x * (u * a(x \ 1,z,y)). [para(12253(a,1),8316(a,1,1,1,2))]. given #11649 (H,wt=31): 12305 ((L(x,y,z) / a(x \ 1,z,y)) * u) * a(x \ 1,z,y) = x * (u * a(x \ 1,z,y)). [para(2513(a,1),12256(a,1,1,1,2))]. given #11650 (H,wt=21): 12307 (x * y) * a(x \ 1,z,u) = x * (y * a(x \ 1,z,u)). [para(1196(a,1),12305(a,1,1,1))]. given #11651 (H,wt=24): 12308 T(L(x,y,z) * u,a(x \ 1,z,y)) = x * (u * a(x \ 1,z,y)). [hyper(58,a,10833,a,b,12307,a)]. given #11652 (H,wt=24): 12309 L(L(x,y,z) * u,y,K(x \ 1,z)) = x * (u * a(x \ 1,z,y)). [hyper(58,a,10711,a,b,12308,a)]. given #11653 (H,wt=24): 12310 L(L(x,y,z) * u,y,K(z,x \ 1)) = x * (u * a(x \ 1,z,y)). [para(28(a,1),12309(a,1,3))]. given #11654 (H,wt=22): 12311 L(L(x,y,z) * u,y,K(x,z)) = x * (u * a(x \ 1,z,y)). [hyper(58,a,8944,a(flip),b,12310,a)]. given #11655 (H,wt=21): 12312 x * ((x \ y) * a(x \ 1,z,u)) = y * (x \ L(x,u,z)). [hyper(58,a,11078,a(flip),b,12311,a),flip(a)]. given #11656 (H,wt=17): 12313 (x * L(y,z,u)) / y = x * (y \ L(y,z,u)). [hyper(58,a,10322,a(flip),b,12312,a)]. given #11657 (H,wt=17): 12314 (x / y) * L(y,z,u) = x * (y \ L(y,z,u)). [hyper(1386,a,12313,a)]. given #11658 (H,wt=17): 12316 (x * y) * (y \ L(y,z,u)) = x * L(y,z,u). [para(6(a,1),12314(a,1,1)),flip(a)]. given #11659 (H,wt=18): 12317 ((x * y) * z) \ (x * (y * z)) = z \ L(z,y,x). [hyper(112,a,87,a(flip),b,12316,a)]. given #11660 (H,wt=13): 12318 a(x,y,z) \ 1 = z \ L(z,y,x). [hyper(58,a,10830,a(flip),b,12317,a)]. given #11661 (H,wt=11): 12319 L(x,y,z) * a(z,y,x) = x. [hyper(10828,a,12318,a)]. given #11662 (H,wt=11): 12322 a(x,y,z) = L(z,y,x) \ z. [hyper(34,a,4423,a,b,12318,a),flip(a)]. given #11663 (H,wt=11): 12327 L(x,y,z) = x / a(z,y,x). [hyper(122,a,12319,a),flip(a)]. given #11664 (H,wt=11): 12331 a(x,y,z) = z / L(z,y,x). [hyper(272,a,2497,a,b,12322,a),flip(a)]. given #11665 (H,wt=11): 12337 a(x,y,z) * L(z,y,x) = z. [para(12322(a,2),2493(a,1,1))]. given #11666 (H,wt=11): 12338 L(x,y,z) = a(z,y,x) \ x. [para(12322(a,2),2498(a,1,1)),flip(a)]. given #11667 (H,wt=13): 12320 a(x \ 1,y,z) = a(y,z,x) \ 1. [hyper(272,a,1181,a,b,12318,a)]. given #11668 (H,wt=13): 12332 a(x,y,z) = z * (L(z,y,x) \ 1). [hyper(272,a,683,a,b,12322,a),flip(a)]. given #11669 (H,wt=13): 12339 a(x \ 1,y,z) = 1 / a(y,z,x). [para(12322(a,2),2535(a,1,2)),flip(a)]. given #11670 (H,wt=14): 12330 L(x,y,z) \ x != u | a(z,y,x) = u. [para(12319(a,1),287(a,1,2))]. given #11671 (H,wt=14): 12351 a(x,y,z) \ z != u | L(z,y,x) = u. [para(12331(a,2),290(a,1,1))]. given #11672 (H,wt=14): 12352 L(x,y,z) != u \ x | a(z,y,x) = u. [para(12337(a,1),129(a,1,2)),flip(a)]. given #11673 (H,wt=15): 12321 (x * a(y,z,u)) \ x = u \ L(u,z,y). [hyper(58,a,10816,a,b,12318,a)]. given #11674 (H,wt=15): 12324 (x \ L(x,y,z)) * u = a(z,y,x) \ u. [para(12318(a,1),10812(a,1,1))]. given #11675 (H,wt=15): 12325 (x \ L(x,y,z)) \ u = a(z,y,x) * u. [para(12318(a,1),10813(a,1,1))]. given #11676 (H,wt=15): 12326 x * (y \ L(y,z,u)) = x / a(u,z,y). [para(12318(a,1),10818(a,1,2))]. given #11677 (H,wt=15): 12333 L(x,y,T(z,u)) \ x = a(z,y,T(x,u)). [hyper(272,a,10783,a(flip),b,12322,a)]. given #11678 (H,wt=13): 12371 a(T(x,y),z,u) = a(x,z,T(u,y)). [hyper(12330,a,12333,a)]. given #11679 (H,wt=11): 12374 a(x,y,T(z,x)) = a(x,y,z). [para(97(a,1),12371(a,1,1)),flip(a)]. given #11680 (H,wt=13): 12373 a(x,T(y,z),u) = a(x,y,T(u,z)). [hyper(58,a,11095,a(flip),b,12371,a)]. given #11681 (H,wt=13): 12377 a(x,y,x / z) = a(x,y,z \ x). [hyper(58,a,10020,a(flip),b,12374,a),flip(a)]. given #11682 (H,wt=13): 12378 a(x,y,z * x) = a(x,y,x * z). [hyper(58,a,9278,a(flip),b,12374,a)]. given #11683 (H,wt=13): 12381 a(x,y,T(z,u)) = T(a(x,y,z),u). [hyper(58,a,12271,a(flip),b,12373,a),flip(a)]. given #11684 (H,wt=13): 12387 a(x,y,T(z,K(u,w))) = a(x,y,z). [hyper(272,a,10989,a(flip),b,12381,a),flip(a)]. given #11685 (H,wt=15): 12334 a(x / y,z,u) \ 1 = a(z,u,y / x). [hyper(272,a,10414,a(flip),b,12322,a)]. given #11686 (H,wt=15): 12335 a(x \ y,z,u) \ 1 = a(z,u,y \ x). [hyper(272,a,10402,a(flip),b,12322,a)]. given #11687 (H,wt=13): 12394 a(x,y,z \ 1) = a(z,x,y) \ 1. [para(60(a,1),12335(a,1,1,1)),flip(a)]. given #11688 (H,wt=13): 12395 a(x \ 1,y,z) = a(z,x,y \ 1). [hyper(272,a,12320,a,b,12394,a)]. given #11689 (H,wt=13): 12396 a(x,y,z \ 1) = y \ L(y,x,z). [hyper(272,a,12318,a(flip),b,12394,a),flip(a)]. given #11690 (H,wt=13): 12397 L(x,y,z) = x * a(y,x,z \ 1). [hyper(114,a,12394,a,b,12318,a(flip)),flip(a)]. given #11691 (H,wt=13): 12401 a(x,y \ 1,z \ 1) = a(y,z,x). [hyper(58,a,2512,a(flip),b,12395,a),flip(a)]. given #11692 (H,wt=13): 12402 L(x,y,z \ 1) = x * a(y,x,z). [hyper(114,a,2600,a(flip),b,12396,a(flip)),flip(a)]. given #11693 (H,wt=15): 12340 a(x \ 1,y,z) \ z = z * a(y,z,x). [para(12322(a,2),7833(a,2,2))]. given #11694 (H,wt=15): 12342 (x * a(y,z,u)) \ x = a(u \ 1,y,z). [para(12322(a,2),10793(a,1,1,2))]. given #11695 (H,wt=15): 12343 x / a(y \ 1,z,u) = x * a(z,u,y). [para(12322(a,2),10794(a,2,2))]. given #11696 (H,wt=15): 12344 x * (L(x,y,z) \ u) = a(z,y,x) * u. [para(12322(a,2),10800(a,1,1)),flip(a)]. given #11697 (H,wt=15): 12345 x \ (a(y,z,x) * u) = L(x,z,y) \ u. [para(12322(a,2),10802(a,1,2,1))]. given #11698 (H,wt=15): 12346 L(x,y,z) * (x \ u) = a(z,y,x) \ u. [para(12322(a,2),10806(a,1,1)),flip(a)]. given #11699 (H,wt=15): 12347 L(x,y,z) \ (x * u) = a(z,y,x) * u. [para(12322(a,2),10808(a,2,1))]. given #11700 (H,wt=15): 12348 a(x,y,z) * (L(z,y,x) * u) = z * u. [para(12322(a,2),10809(a,1,1))]. given #11701 (H,wt=15): 12358 a(x \ 1,y,z) * u = a(y,z,x) \ u. [para(12320(a,2),10812(a,1,1))]. given #11702 (H,wt=15): 12359 a(x \ 1,y,z) \ u = a(y,z,x) * u. [para(12320(a,2),10813(a,1,1))]. given #11703 (H,wt=15): 12360 x * a(y \ 1,z,u) = x / a(z,u,y). [para(12320(a,2),10818(a,1,2))]. given #11704 (H,wt=15): 12364 a(x,y,z \ 1) \ u = a(z,x,y) * u. [para(2503(a,2),12324(a,1,1)),flip(a)]. given #11705 (H,wt=15): 12365 a(x,y,z) * (z \ u) = L(z,y,x) \ u. [hyper(8323,a,12325,a),flip(a)]. given #11706 (H,wt=15): 12366 a(x,y,z) \ (L(z,y,x) \ u) = z \ u. [hyper(112,a,8322,a(flip),b,12325,a(flip))]. given #11707 (H,wt=15): 12367 a(x,y,z \ 1) * u = a(z,x,y) \ u. [para(2503(a,2),12325(a,1,1)),flip(a)]. given #11708 (H,wt=15): 12369 (x * y) / a(z,u,y) = x * L(y,u,z). [hyper(58,a,12316,a(flip),b,12326,a),flip(a)]. given #11709 (H,wt=15): 12372 a(x,y,T(z,u)) \ z = L(z,y,T(x,u)). [para(12333(a,1),2498(a,1,1))]. given #11710 (H,wt=15): 12375 a(x / y,z,T(u,y)) = a(y \ x,z,u). [para(100(a,1),12371(a,1,1)),flip(a)]. given #11711 (H,wt=15): 12379 a(x,y,T(z,y * u)) = a(x,T(y,u),z). [hyper(9022,a,12373,a),flip(a)]. given #11712 (H,wt=15): 12380 (a(x,y,z) \ u) \ u = a(x,y,T(z,u)). [hyper(58,a,12273,a,b,12373,a)]. given #11713 (H,wt=15): 12382 a(x,y,T(z,x * u)) = a(x,T(y,u),z). [hyper(58,a,11101,a(flip),b,12373,a),flip(a)]. given #11714 (H,wt=15): 12383 a(x,y * z,T(u,z)) = a(x,z * y,u). [hyper(58,a,9035,a(flip),b,12373,a),flip(a)]. given #11715 (H,wt=15): 12385 x * a(y,z,T(u,x)) = a(y,z,u) * x. [para(12373(a,1),12275(a,1,2))]. given #11716 (H,wt=15): 12390 a(x \ 1,y / z,u) = a(u,x,z / y). [hyper(58,a,12320,a,b,12334,a)]. given #11717 (H,wt=15): 12391 a(x \ 1,y \ z,u) = a(u,x,z \ y). [hyper(58,a,12320,a,b,12335,a)]. given #11718 (H,wt=15): 12392 x \ L(x,y,z \ u) = a(y,x,u \ z). [hyper(58,a,12318,a(flip),b,12335,a)]. given #11719 (H,wt=15): 12393 x * a(y,x,z \ u) = L(x,y,u \ z). [hyper(114,a,12335,a(flip),b,12318,a(flip))]. given #11720 (H,wt=15): 12398 x * a(y,z,u \ 1) = x / a(u,y,z). [para(12394(a,2),10818(a,1,2))]. given #11721 (H,wt=15): 12400 a(x,y \ z,u \ 1) = a(z \ y,u,x). [hyper(58,a,10386,a(flip),b,12395,a),flip(a)]. given #11722 (H,wt=15): 12408 a(x,y,z) \ (z * u) = L(z,y,x) * u. [hyper(802,a,12344,a)]. given #11723 (H,wt=15): 12416 x * (a(y,z,x) \ u) = L(x,z,y) * u. [hyper(114,a,12346,a(flip),b,1271,a)]. given #11724 (H,wt=15): 12425 (x / L(y,z,u)) * y = x * a(u,z,y). [hyper(277,a,12369,a),flip(a)]. given #11725 (H,wt=15): 12426 (x * L(y,z,u)) \ (x * y) = a(u,z,y). [hyper(172,a,12369,a)]. given #11726 (H,wt=15): 12427 (x * L(y,z,u)) * a(u,z,y) = x * y. [hyper(125,a,12369,a)]. given #11727 (H,wt=15): 12431 a(x,y,T(z,y * u)) = a(x,y,T(z,u)). [hyper(272,a,12373,a(flip),b,12379,a),flip(a)]. given #11728 (H,wt=15): 12432 x / a(y,z,T(u,x)) = a(y,z,u) \ x. [hyper(178,a,12380,a)]. given #11729 (H,wt=15): 12433 a(x,y,T(z,x * u)) = a(x,y,T(z,u)). [hyper(272,a,12373,a(flip),b,12382,a),flip(a)]. given #11730 (H,wt=15): 12435 a(x,y \ 1,z / u) = a(y,u / z,x). [hyper(58,a,2512,a(flip),b,12390,a),flip(a)]. given #11731 (H,wt=15): 12452 a(x * x,y,T(z,u)) = a(x * x,y,z). [hyper(31,a,10789,a,b,12432,a),flip(a)]. given #11732 (H,wt=16): 12323 a(x,y,z) \ 1 != u | a(z \ 1,x,y) = u. [para(12318(a,2),1199(a,1))]. given #11733 (H,wt=16): 12357 a(x,y,z) \ 1 != u | z \ L(z,y,x) = u. [para(12320(a,1),1187(a,1))]. given #11734 (H,wt=16): 12388 a(x,y,T(z,K(u,w))) != v5 | a(x,y,z) = v5. [para(12381(a,2),11015(a,1))]. given #11735 (H,wt=16): 12403 a(x,y,z \ 1) != u | a(y \ 1,z,x) = u. [para(12396(a,2),1199(a,1))]. given #11736 (H,wt=16): 12404 x \ L(x,y,z) != u | a(y,x,z \ 1) = u. [para(12397(a,2),287(a,1,2))]. given #11737 (H,wt=16): 12405 x \ L(x,y,z \ 1) != u | a(y,x,z) = u. [para(12402(a,2),287(a,1,2))]. given #11738 (H,wt=16): 12406 a(x \ 1,y,z) != u | 1 / a(y,z,x) = u. [para(12342(a,1),196(a,1))]. given #11739 (H,wt=16): 12453 a(x \ 1,y,z) != u | a(z,x,y \ 1) = u. [para(1181(a,2),12404(a,1))]. given #11740 (H,wt=17): 12389 a(x,y,T(z,u * w)) = a(x,y,T(z,w * u)). [para(6034(a,1),12387(a,1,3))]. given #11741 (H,wt=15): 12456 a(x,y,T(z,u * y)) = a(x,y,T(z,u)). [hyper(272,a,12431,a(flip),b,12389,a),flip(a)]. given #11742 (H,wt=17): 12399 a(x \ (y \ 1),z,u) = a(u,y * x,z \ 1). [hyper(58,a,10440,a(flip),b,12395,a)]. given #11743 (H,wt=17): 12414 (L(x,y,z) * u) / T(x,u) = a(z,y,x) \ u. [hyper(58,a,8324,a,b,12346,a)]. given #11744 (H,wt=17): 12415 (L(x,y,z) * u) / x = a(z,y,x) \ T(u,x). [hyper(58,a,8325,a(flip),b,12346,a)]. given #11745 (H,wt=17): 12419 (L(x,y,z) * u) / x = T(a(z,y,x) \ u,x). [para(12346(a,1),2819(a,1,1)),flip(a)]. given #11746 (H,wt=17): 12420 a(x,y,z) * (z * u) = z * (a(x,y,z) * u). [hyper(114,a,12347,a(flip),b,12345,a),flip(a)]. given #11747 (H,wt=17): 12430 a(x / y,z,y \ u) = a(y \ x,z,u / y). [para(100(a,1),12375(a,1,3))]. given #11748 (H,wt=17): 12438 a(x,y,z \ (u \ 1)) = y \ L(y,x,u * z). [para(8940(a,1),12392(a,1,2)),flip(a)]. given #11749 (H,wt=17): 12440 a(x,y,(x \ z) \ x) = y \ R(y,z \ 1,x). [para(10451(a,1),12392(a,1,2)),flip(a)]. given #11750 (H,wt=17): 12458 T(a(x,y,z) \ u,z) = a(x,y,z) \ T(u,z). [hyper(58,a,12415,a(flip),b,12419,a),flip(a)]. given #11751 (H,wt=17): 12459 a(x,y,(z * u) \ 1) = a(x,y,u \ (z \ 1)). [hyper(272,a,12396,a,b,12438,a)]. given #11752 (H,wt=18): 12361 a(x \ 1,y,z) != u \ w | w * a(y,z,x) = u. [para(12320(a,2),10828(a,1))]. given #11753 (H,wt=18): 12362 x / a(y \ 1,z,u) != w | x * a(z,u,y) = w. [para(12320(a,2),10829(a,1,2))]. given #11754 (H,wt=18): 12368 a(x,y,z) * (z \ u) != w | L(z,y,x) \ u = w. [para(12325(a,1),8323(a,1))]. given #11755 (H,wt=18): 12376 a(x,y,T(z,u)) \ z != w | L(z,y,T(x,u)) = w. [para(12371(a,1),12351(a,1,1))]. given #11756 (H,wt=18): 12421 a(x,y,z) * u != z * w | L(z,y,x) * w = u. [para(12348(a,1),38(a,1)),flip(a)]. given #11757 (H,wt=18): 12428 (x * L(y,z,u)) \ (x * y) != w | a(u,z,y) = w. [para(12369(a,1),290(a,1,1))]. given #11758 (H,wt=18): 12436 a(x,y,z \ u) != w | y \ L(y,x,u \ z) = w. [para(12391(a,1),1187(a,1))]. given #11759 (H,wt=18): 12437 a(x,y,z \ u) != y \ w | L(y,x,u \ z) = w. [para(12392(a,1),42(a,1))]. given #11760 (H,wt=18): 12441 L(x,y,z \ u) != x * w | a(y,x,u \ z) = w. [para(12393(a,1),38(a,1))]. given #11761 (H,wt=18): 12454 a(x \ y,z,u) != w | a(u,y \ x,z \ 1) = w. [para(10400(a,1),12404(a,1))]. given #11762 (H,wt=18): 12461 x / a(y,z,u) != w | x * a(z,u,y \ 1) = w. [para(2512(a,1),12362(a,1,2))]. given #11763 (H,wt=18): 12462 a(x,y,y) * (x \ z) != u | L(x,y,y) \ z = u. [para(4244(a,2),12368(a,1,1))]. given #11764 (H,wt=16): 12463 L(x \ 1,y,y) != z | L(x,y,y) \ 1 = z. [para(1177(a,1),12462(a,1))]. given #11765 (H,wt=19): 12349 a(x \ (y \ 1),z,u) \ w = a(z,u,y * x) * w. [para(12322(a,2),10805(a,1,1)),flip(a)]. given #11766 (H,wt=19): 12353 (T(a(x,y,z),z) / z) \ z = T(z * L(z,y,x),z). [para(12338(a,2),3773(a,1,1,2)),flip(a)]. given #11767 (H,wt=17): 12464 T(x * L(x,y,z),x) = (a(z,y,x) / x) \ x. [para(7829(a,1),12353(a,1,1,1)),flip(a)]. given #11768 (H,wt=19): 12370 x * a(y \ (z \ 1),u,w) = x / a(u,w,z * y). [para(10448(a,1),12326(a,1,2))]. given #11769 (H,wt=19): 12439 x \ L(x,y,(z \ u) * w) = a(y,x,w \ (u \ z)). [para(9093(a,1),12392(a,1,2))]. given #11770 (H,wt=19): 12443 x * (a(y,z,T(x,u)) \ w) = L(x,z,T(y,u)) * w. [para(12371(a,1),12416(a,1,2,1))]. given #11771 (H,wt=19): 12444 x * (a(y,z,T(x,u)) \ w) = L(x,T(z,u),y) * w. [para(12373(a,1),12416(a,1,2,1))]. given #11772 (H,wt=13): 12467 L(x,T(y,z),u) = L(x,y,T(u,z)). [hyper(30,a,12443,a(flip),b,12444,a(flip)),flip(a)]. given #11773 (H,wt=15): 12469 L(x,y * (z / y),u) = L(x,z,T(u,y)). [hyper(9260,a,12467,a)]. given #11774 (H,wt=15): 12471 L(x,y \ z,T(u,z)) = L(x,z / y,u). [hyper(58,a,9990,a(flip),b,12467,a),flip(a)]. given #11775 (H,wt=15): 12473 L(x,y / z,T(u,z)) = L(x,z \ y,u). [para(100(a,1),12467(a,1,2)),flip(a)]. given #11776 (H,wt=17): 12468 L(x,T(y,z) \ 1,u) = L(x,y \ 1,T(u,z)). [hyper(10478,a,12467,a)]. given #11777 (H,wt=17): 12477 L(x,y / z,u * u) = L(x,z \ y,u * u). [hyper(58,a,9000,a(flip),b,12471,a),flip(a)]. given #11778 (H,wt=17): 12482 L(x,y / z,z * u) = L(x,z \ y,u * z). [hyper(58,a,8987,a(flip),b,12473,a)]. given #11779 (H,wt=17): 12483 L(x,y / z,z \ u) = L(x,z \ y,u / z). [para(100(a,1),12473(a,1,3))]. given #11780 (H,wt=19): 12460 a(x,y,z) \ T(z * u,z) = T(L(z,y,x) * u,z). [para(12408(a,1),12458(a,1,1)),flip(a)]. given #11781 (H,wt=19): 12478 L(x,y \ z,T(u,z) \ 1) = L(x,z / y,u \ 1). [hyper(58,a,8972,a(flip),b,12471,a)]. given #11782 (H,wt=19): 12481 L(x,y \ (z \ 1),T(u,z)) = L(x,z \ (y \ 1),u). [hyper(10481,a,12473,a)]. given #11783 (H,wt=19): 12487 L(x,y * (z \ 1),z * u) = L(x,z \ y,u * z). [hyper(58,a,9197,a,b,12482,a)]. given #11784 (H,wt=19): 12489 L(x,y \ z,(y / u) / y) = L(x,z / y,u \ 1). [hyper(58,a,9098,a(flip),b,12483,a),flip(a)]. given #11785 (H,wt=19): 12491 L(x,y \ z,z \ (u \ z)) = L(x,z / y,u \ 1). [para(2999(a,1),12478(a,1,3))]. given #11786 (H,wt=19): 12492 L(x,y \ z,y \ (u \ y)) = L(x,z / y,u \ 1). [hyper(58,a,9063,a(flip),b,12489,a)]. given #11787 (H,wt=20): 12350 L(K(x,y),z,u) != w | K(x,y) * a(u,z,K(y,x)) = w. [para(12327(a,2),7952(a,1))]. given #11788 (H,wt=20): 12363 L(K(x,y),z,u) * K(y,x) != w | a(u,z,K(y,x)) = w. [para(7918(a,1),12330(a,1))]. given #11789 (H,wt=20): 12409 L(L(x,y,z) \ u,x,x) = (1 / x) * (a(z,y,x) * u). [hyper(114,a,12344,a(flip),b,2970,a),flip(a)]. given #11790 (H,wt=20): 12410 a(x,y,z) * (u * L(z,y,x)) = z * T(u,L(z,y,x)). [para(17(a,2),12344(a,1,2)),flip(a)]. given #11791 (H,wt=20): 12449 ((x \ a(x,x,y)) * L(y,z,u)) * a(u,z,y) = x \ y. [hyper(272,a,5671,a(flip),b,12427,a),flip(a)]. given #11792 (H,wt=15): 12496 (x \ L(y,z,u)) * a(u,z,y) = x \ y. [para(10329(a,1),12449(a,1,1))]. given #11793 (H,wt=20): 12455 a(x \ (y \ 1),z,u) != w | a(u,y * x,z \ 1) = w. [para(10448(a,1),12404(a,1))]. given #11794 (H,wt=20): 12480 L(x,K(y,z) / u,w) != v5 | L(x,u \ K(y,z),w) = v5. [para(12471(a,1),11013(a,1))]. given #11795 (H,wt=20): 12494 K(x,L(y,z,u)) * K(y,x) != w | a(u,z,K(y,x)) = w. [para(8229(a,1),12363(a,1,1))]. given #11796 (H,wt=20): 12495 K(L(x,y,z),u) * K(u,x) != w | a(z,y,K(u,x)) = w. [para(8245(a,1),12363(a,1,1))]. given #11797 (H,wt=20): 12497 K(x,y) * K(L(y,z,u),x) != w | a(u,z,K(x,y)) = w. [para(1491(a,2),12495(a,1))]. given #11798 (H,wt=21): 12315 (x * y) * (x \ L(x,z,u)) = x * (y * (x \ L(x,z,u))). [hyper(58,a,1145,a(flip),b,12313,a),flip(a)]. given #11799 (H,wt=19): 12498 x * (y * (x \ L(x,z,u))) = (x * y) / a(u,z,x). [hyper(58,a,12326,a(flip),b,12315,a),flip(a)]. given #11800 (H,wt=17): 12499 (x * y) / a(z,u,x) = x * (y / a(z,u,x)). [para(12326(a,1),12498(a,1,2)),flip(a)]. given #11801 (H,wt=19): 12500 x * (y / a(z \ 1,u,x)) = (x * y) * a(u,x,z). [hyper(12362,a,12499,a),flip(a)]. given #11802 (H,wt=17): 12502 (x * y) * a(z,x,u) = x * (y * a(z,x,u)). [para(12343(a,1),12500(a,1,2)),flip(a)]. given #11803 (H,wt=12): 12503 L(a(x,y,z),u,y) = a(x,y,z). [hyper(2469,a,12502,a)]. given #11804 (H,wt=17): 12504 (x * y) / a(z,x,u) = x * (y / a(z,x,u)). [para(12503(a,1),471(a,1,2))]. given #11805 (H,wt=21): 12418 a(x,y,z) \ ((u / z) \ z) = L(z,y,x) * ((z \ u) \ 1). [para(3000(a,1),12346(a,1,2)),flip(a)]. given #11806 (H,wt=21): 12445 x * (x * (y / L(x * x,z,u))) = y * a(u,z,x * x). [hyper(3013,a,12425,a)]. given #11807 (H,wt=21): 12470 R(x,(y \ z) \ 1,T(z,u)) = L(x,z,T(y \ (z \ 1),u)). [hyper(58,a,10483,a,b,12467,a)]. given #11808 (H,wt=21): 12493 a(x \ (y \ x),x \ z,u) = L(u,z / x,y \ 1) \ u. [para(12492(a,1),12322(a,2,1))]. given #11809 (H,wt=19): 12507 a(x \ (y \ x),x \ z,u) = a(y \ 1,z / x,u). [hyper(272,a,12322,a,b,12493,a),flip(a)]. given #11810 (H,wt=17): 12508 a(x \ (y \ x),x \ z,u) = a(u,y,x / z). [hyper(272,a,12390,a(flip),b,12507,a),flip(a)]. given #11811 (H,wt=19): 12509 a(T(x,y) \ 1,x \ z,u) = a(u,T(x,y),x / z). [para(691(a,1),12508(a,1,1))]. given #11812 (H,wt=17): 12510 a(x,T(y,z),y / u) = a(x,T(y,z),u \ y). [hyper(58,a,12391,a(flip),b,12509,a),flip(a)]. given #11813 (H,wt=17): 12511 a(x,T(y,z),y / u) = a(x,y,T(u \ y,z)). [hyper(272,a,12373,a(flip),b,12510,a),flip(a)]. given #11814 (H,wt=21): 12506 R(x,(y \ z) \ 1,T(z,u)) = L(x,z,T(z * y,u) \ 1). [hyper(272,a,9137,a(flip),b,12470,a),flip(a)]. given #11815 (H,wt=19): 12512 L(x,y,T(y * z,u) \ 1) = R(x,y \ z,T(y,u)). [hyper(58,a,10385,a(flip),b,12506,a),flip(a)]. given #11816 (H,wt=22): 12356 a(x,y,z) \ L(a(x,y,z),u,w) = a(a(z \ 1,x,y),w,u). [para(12320(a,2),1181(a,1,1)),flip(a)]. given #11817 (H,wt=22): 12407 a(x,y,z) * T(u,L(z,y,x)) = z * (u * (L(z,y,x) \ 1)). [hyper(2980,a,12344,a),flip(a)]. given #11818 (H,wt=22): 12412 x \ y != z * (L(z,u,w) \ v5) | x * (a(w,u,z) * v5) = y. [para(12345(a,1),286(a,2,2))]. given #11819 (H,wt=22): 12423 L(x,y,z) \ (x * u) != w \ v5 | w * (a(z,y,x) * u) = v5. [para(12365(a,1),799(a,2)),flip(a)]. given #11820 (H,wt=22): 12424 a(x,y,z) * (z \ u) != w * v5 | w \ (L(z,y,x) \ u) = v5. [para(12366(a,1),341(a,1,2))]. given #11821 (H,wt=22): 12465 a(x,y,z \ (u \ w)) != y \ v5 | L(y,x,(w \ u) * z) = v5. [para(12439(a,1),42(a,1))]. given #11822 (H,wt=22): 12466 x * (a(y,z,T(x,u)) \ w) != v5 * w | L(x,z,T(y,u)) = v5. [para(12443(a,2),39(a,1))]. given #11823 (H,wt=22): 12513 (x \ y) * a(x,z,x) != u * w | u \ (L(x,z,x) \ y) = w. [para(6640(a,1),12424(a,1))]. given #11824 (H,wt=23): 12386 a(x \ 1,y,(x \ 1) / (x / z)) = a(x \ 1,y,x \ (x \ z)). [para(4356(a,1),12377(a,2,3))]. given #11825 (H,wt=23): 12429 a(x,y / T(x,z),T(u,z)) \ u = L(u,T(x,z) \ y,T(x,z)). [hyper(272,a,9009,a(flip),b,12372,a),flip(a)]. given #11826 (H,wt=23): 12442 a(x,y,z) \ (L(z,u,w) * v5) = L(z,y,x) * (a(w,u,z) \ v5). [hyper(112,a,12416,a(flip),b,12348,a)]. given #11827 (H,wt=23): 12488 R(x,(y \ (y \ z)) \ 1,z / y) = L(x,y \ z,(z \ y) / y). [hyper(58,a,10544,a,b,12483,a)]. given #11828 (H,wt=23): 12515 a(x \ 1,y,((z / x) \ x) \ 1) = a(x \ 1,y,x \ (x \ z)). [para(4923(a,1),12386(a,1,3))]. given #11829 (H,wt=21): 12517 a(x \ 1,y,x \ (z / x)) = a(x \ 1,y,x \ (x \ z)). [hyper(58,a,10016,a(flip),b,12515,a)]. given #11830 (H,wt=23): 12516 R(x,(y \ (y \ z)) \ 1,z / y) = L(x,y \ z,(y * z) \ y). [para(3308(a,1),12488(a,2,3))]. given #11831 (H,wt=21): 12518 R(x,(y \ (y \ z)) \ 1,z / y) = L(x,y \ z,z \ 1). [hyper(272,a,9092,a(flip),b,12516,a),flip(a)]. given #11832 (H,wt=21): 12520 R(x,(y * y) * (z \ 1),z / y) = L(x,y \ z,z \ 1). [para(4416(a,1),12518(a,1,2))]. given #11833 (H,wt=19): 12521 R(x,(y * y) / z,z / y) = L(x,y \ z,z \ 1). [hyper(58,a,9352,a(flip),b,12520,a)]. given #11834 (H,wt=24): 12411 x * (L(x,y,z) \ (x * T(u,L(x,y,z)))) = u * (a(z,y,x) * x). [para(12344(a,1),6943(a,2,2))]. given #11835 (H,wt=22): 12522 x * (a(y,z,x) * T(u,L(x,z,y))) = u * (a(y,z,x) * x). [para(12347(a,1),12411(a,1,2))]. given #11836 (H,wt=21): 12523 x * (x * (y * (L(x,z,u) \ 1))) = y * (a(u,z,x) * x). [para(12407(a,1),12522(a,1,2))]. given #11837 (H,wt=21): 12524 x * (x * (y * (L(x,z,u) \ 1))) = y * (x * a(u,z,x)). [para(7830(a,1),12523(a,2,2))]. given #11838 (H,wt=24): 12417 a(x,y,z * u) \ (z * (u * w)) = L(z * u,y,x) * L(w,u,z). [para(13(a,2),12346(a,1,2)),flip(a)]. given #11839 (H,wt=24): 12514 (x \ L(x,y,z)) \ (x \ u) != w * v5 | w \ (L(x,y,z) \ u) = v5. [para(12325(a,2),12424(a,1))]. given #11840 (H,wt=25): 12355 (x / a(y,z,x)) / (x \ a(y,z,x)) = (a(y,z,x) / x) \ L(x,z,y). [para(12338(a,2),5912(a,2,2))]. given #11841 (H,wt=23): 12525 L(x,y,z) / (x \ a(z,y,x)) = (a(z,y,x) / x) \ L(x,y,z). [para(12327(a,2),12355(a,1,1))]. given #11842 (H,wt=25): 12413 L(x,y,z) / (x \ (a(z,y,x) * 1)) = (1 / L(x,y,z)) \ L(x,y,z). [para(12345(a,2),2914(a,1,2))]. given #11843 (H,wt=23): 12526 (1 / L(x,y,z)) \ L(x,y,z) = L(x,y,z) / (x \ a(z,y,x)). [para(3(a,1),12413(a,1,2,2)),flip(a)]. given #11844 (H,wt=23): 12527 (a(x,y,z) / z) \ L(z,y,x) = (1 / L(z,y,x)) \ L(z,y,x). [hyper(272,a,12525,a(flip),b,12526,a)]. given #11845 (H,wt=25): 12422 (a(x,y,z) \ (L(z,y,x) * u)) \ (z * u) = a(x,y,z) * a(x,y,z). [para(12348(a,1),3010(a,1,2))]. given #11846 (H,wt=25): 12447 ((x * y) * L(L(z,y,x),u,w)) \ (x * (y * z)) = a(w,u,L(z,y,x)). [para(87(a,1),12426(a,1,2))]. given #11847 (H,wt=22): 12529 (x * (y * L(z,u,w))) \ (x * (y * z)) = a(w,u,L(z,y,x)). [para(361(a,1),12447(a,1,1))]. given #11848 (H,wt=25): 12451 a(x,y,z) * (a(x,y,z) * (u * L(z,y,x))) = (u * z) * a(x,y,z). [para(12427(a,1),10825(a,1,1)),flip(a)]. given #11849 (H,wt=22): 12530 a(x,y,z) * (z * T(u,L(z,y,x))) = (u * z) * a(x,y,z). [para(12410(a,1),12451(a,1,2))]. given #11850 (H,wt=22): 12531 x * (a(y,z,x) * T(u,L(x,z,y))) = (u * x) * a(y,z,x). [hyper(58,a,12420,a(flip),b,12530,a)]. given #11851 (H,wt=21): 12532 x * (x * (y * (L(x,z,u) \ 1))) = (y * x) * a(u,z,x). [para(12407(a,1),12531(a,1,2))]. given #11852 (H,wt=17): 12533 (x * y) * a(z,u,y) = x * (y * a(z,u,y)). [hyper(58,a,12524,a(flip),b,12532,a),flip(a)]. given #11853 (H,wt=12): 12534 L(a(x,y,z),z,u) = a(x,y,z). [hyper(429,a,12533,a)]. given #11854 (H,wt=25): 12490 a(x,y,z) \ ((a(u,w,z) / z) \ z) = T(L(z,y,x) * L(z,w,u),z). [para(12464(a,1),12460(a,1,2))]. given #11855 (H,wt=25): 12528 (L(x,y,z) * (a(z,y,x) \ u)) \ (x * u) = a(z,y,x) * a(z,y,x). [para(12442(a,1),12422(a,1,1))]. given #11856 (H,wt=27): 12354 (x / a(y,z,x)) * ((x \ a(y,z,x)) \ 1) = (a(y,z,x) / x) \ L(x,z,y). [para(12338(a,2),5850(a,2,2))]. given #11857 (H,wt=25): 12535 L(x,y,z) * ((x \ a(z,y,x)) \ 1) = (a(z,y,x) / x) \ L(x,y,z). [para(12327(a,2),12354(a,1,1))]. given #11858 (H,wt=27): 12448 L(a(x,y,z),u * L(z,y,x),w) = (w * (u * L(z,y,x))) \ (w * (u * z)). [para(12426(a,1),89(a,1,1))]. given #11859 (H,wt=20): 12536 L(a(x,y,z),u * L(z,y,x),w) = a(x,y,L(z,u,w)). [hyper(272,a,12529,a(flip),b,12448,a),flip(a)]. given #11860 (H,wt=12): 12537 a(x,y,L(z,u,y)) = a(x,y,z). [hyper(58,a,12503,a(flip),b,12536,a),flip(a)]. given #11861 (H,wt=27): 12486 R(x,(1 / y) \ y,((1 / y) \ y) \ z) = L(x,y \ ((y * z) \ 1),y * y). [hyper(58,a,9506,a,b,12477,a)]. given #11862 (H,wt=27): 12539 R(x,(1 / y) \ y,((1 / y) \ y) \ z) = L(x,y \ (z \ (y \ 1)),y * y). [hyper(272,a,10023,a(flip),b,12486,a),flip(a)]. given #11863 (H,wt=27): 12540 R(x,(1 / y) \ y,(y \ 1) * (y \ z)) = L(x,y \ (z \ (y \ 1)),y * y). [para(3821(a,1),12539(a,1,3))]. given #11864 (H,wt=25): 12541 R(x,(1 / y) \ y,y \ (y \ z)) = L(x,y \ (z \ (y \ 1)),y * y). [hyper(58,a,8768,a(flip),b,12540,a)]. given #11865 (H,wt=29): 12434 ((x * y) * a(x,z,T(u,x * y))) / T(x * a(x,z,u),y) = L(y,x,a(x,z,u)). [para(12385(a,2),8264(a,1,1))]. given #11866 (H,wt=27): 12542 ((x * y) * a(x,z,T(u,y))) / T(x * a(x,z,u),y) = L(y,x,a(x,z,u)). [para(12433(a,1),12434(a,1,1,2))]. given #11867 (H,wt=29): 12450 ((x / L(y,z,u)) \ L(y,z,u)) * a(u,z,y) = ((L(y,z,u) \ 1) \ (x \ 1)) * y. [para(4670(a,1),12427(a,1,1))]. given #11868 (H,wt=21): 12543 ((L(x,y,z) \ 1) \ (u \ 1)) * x = (u / L(x,y,z)) \ x. [hyper(58,a,12496,a(flip),b,12450,a),flip(a)]. given #11869 (H,wt=29): 12485 L(x,((K(y,z) * u) * w) \ 1,T(v5,K(y,z))) = L(x,(u * (w * K(y,z))) \ 1,v5). [para(6403(a,1),12468(a,1,2,1)),flip(a)]. given #11870 (H,wt=29): 12501 a(x,y,z) * (((z * u) / a(x,y,z)) * a(x,y,z)) = ((1 / a(x,y,z)) \ z) * u. [para(12499(a,2),108(a,1,2,1))]. given #11871 (H,wt=19): 12546 ((1 / a(x,y,z)) \ z) * u = a(x,y,z) * (z * u). [para(7(a,1),12501(a,1,2)),flip(a)]. given #11872 (H,wt=19): 12547 ((1 / a(x,y,z)) \ z) * u = z * (a(x,y,z) * u). [hyper(272,a,12420,a(flip),b,12546,a),flip(a)]. given #11873 (H,wt=19): 12549 (a(x \ 1,y,z) \ x) * u = x * (a(y,z,x) * u). [para(12339(a,2),12547(a,1,1,1))]. given #11874 (H,wt=17): 12550 (a(x,y,z) * z) * u = z * (a(x,y,z) * u). [para(12359(a,1),12549(a,1,1))]. given #11875 (H,wt=17): 12551 (x * a(y,z,x)) * u = x * (a(y,z,x) * u). [para(7830(a,1),12550(a,1,1))]. given #11876 (H,wt=9): 12552 L(x,a(y,z,u),u) = x. [hyper(429,a,12551,a)]. given #11877 (H,wt=21): 12553 (x * a(y \ 1,z,x)) * u = x * (a(x,y,z \ 1) * u). [para(12395(a,1),12551(a,2,2,1))]. given #11878 (H,wt=19): 12554 x * (a(x,y,z \ 1) * u) = (x / a(z,x,y)) * u. [para(12360(a,1),12553(a,1,1)),flip(a)]. given #11879 (H,wt=19): 12555 x * (a(x,y,z \ 1) * u) = (a(z,x,y) \ x) * u. [para(10815(a,1),12554(a,2,1))]. given #11880 (H,wt=17): 12557 (a(x,y,z) \ y) * u = y * (a(x,y,z) \ u). [para(12367(a,1),12555(a,1,2)),flip(a)]. given #11881 (H,wt=19): 12556 (a(x \ 1,y,z) \ y) * u = y * (a(y,z,x) * u). [para(2600(a,1),12555(a,1,2,1)),flip(a)]. given #11882 (H,wt=17): 12558 (a(x,y,z) * x) * u = x * (a(x,y,z) * u). [para(12359(a,1),12556(a,1,1))]. given #11883 (H,wt=17): 12559 (x * a(x,y,z)) * u = x * (a(x,y,z) * u). [para(1189(a,1),12558(a,1,1))]. given #11884 (H,wt=20): 12560 (x * a(x,y,z)) * u != x * (a(x,y,z) * w) | w = u. [para(12559(a,1),38(a,1)),flip(a)]. given #11885 (H,wt=29): 12545 L(x,((K(y,z) * u) * w) \ 1,T(v5,K(y,z))) = L(x,(w * K(y,z)) \ (u \ 1),v5). [hyper(272,a,10063,a(flip),b,12485,a),flip(a)]. given #11886 (H,wt=29): 12561 L(x,((K(y,z) * u) * w) \ 1,T(v5,K(y,z))) = L(x,K(y,z) * (w \ (u \ 1)),v5). [hyper(272,a,11694,a(flip),b,12545,a),flip(a)]. given #11887 (H,wt=27): 12562 L(x,((K(y,z) * u) * w) \ 1,T(v5,K(y,z))) = L(x,K(y,z) / (u * w),v5). [hyper(272,a,10030,a(flip),b,12561,a),flip(a)]. given #11888 (H,wt=27): 12563 L(x,((K(y,z) * u) * w) \ 1,T(v5,K(y,z))) = L(x,(u * w) \ K(y,z),v5). [hyper(272,a,11672,a(flip),b,12562,a),flip(a)]. given #11889 (H,wt=23): 12564 L(x,((K(y,z) * u) * w) \ 1,v5) = L(x,(u * w) \ K(y,z),v5). [hyper(11013,a,12563,a)]. given #11890 (H,wt=23): 12565 L(x,y \ ((K(z,u) * w) \ 1),v5) = L(x,(w * y) \ K(z,u),v5). [hyper(10494,a,12564,a)]. given #11891 (H,wt=21): 12567 L(x,(y * z) \ K(u,w),v5) = L(x,z \ (y \ K(u,w)),v5). [para(5610(a,1),12565(a,1,2,2)),flip(a)]. given #11892 (H,wt=33): 12304 L(x,y,z \ (T(z,T(u,w) \ 1) \ (u \ 1))) = L(x,y,((w \ (z \ w)) * (1 / u)) / T(z,w)). [hyper(58,a,10123,a(flip),b,12303,a),flip(a)]. given #11893 (H,wt=31): 12570 L(x,y,z \ (T(z,T(u,w)) \ (u \ 1))) = L(x,y,((w \ (z \ w)) * (1 / u)) / T(z,w)). [hyper(58,a,9162,a(flip),b,12304,a)]. given #11894 (H,wt=34): 12538 L(a(x,y,z),L(z,y,x) * ((u * L(z,y,x)) \ 1),w) = a(x,y,L(z,u \ (1 / L(z,y,x)),w)). [para(4620(a,1),12536(a,1,2))]. given #11895 (H,wt=35): 12188 T(x,(1 / y) * (T(z,y \ 1) * (u \ ((1 / y) / u)))) = T(x,(z * (1 / y)) * (u \ ((1 / y) / u))). [para(1966(a,1),12186(a,1,2,1)),flip(a)]. given #11896 (H,wt=33): 12571 T(x,(1 / y) * (T(z,y \ 1) * (u \ ((1 / y) / u)))) = T(x,(z * (1 / y)) / ((u * y) * u)). [hyper(272,a,9802,a(flip),b,12188,a),flip(a)]. given #11897 (H,wt=33): 12572 T(x,(1 / y) * (T(z,y \ 1) * (u \ ((1 / y) / u)))) = T(x,(z * (1 / y)) / (u * (y * u))). [hyper(272,a,9480,a(flip),b,12571,a),flip(a)]. given #11898 (H,wt=31): 12573 T(x,(1 / y) * (T(z,y \ 1) * (u \ ((1 / y) / u)))) = T(x,(z / y) / (u * (y * u))). [hyper(272,a,8597,a(flip),b,12572,a),flip(a)]. given #11899 (H,wt=29): 12574 T(x,(1 / y) * (T(z,y \ 1) / ((u * y) * u))) = T(x,(z / y) / (u * (y * u))). [hyper(58,a,9874,a(flip),b,12573,a)]. given #11900 (H,wt=29): 12575 T(x,(1 / y) * (T(z,y \ 1) / (u * (y * u)))) = T(x,(z / y) / (u * (y * u))). [hyper(58,a,8840,a(flip),b,12574,a)]. given #11901 (H,wt=27): 12576 T(x,(1 / y) * (T(z,y) / (u * (y * u)))) = T(x,(z / y) / (u * (y * u))). [hyper(58,a,8716,a(flip),b,12575,a)]. given #11902 (H,wt=25): 12577 T(x,y \ (T(z,y) / (u * (y * u)))) = T(x,(z / y) / (u * (y * u))). [hyper(6105,a,12576,a)]. given #11903 (H,wt=23): 12578 T(x,(y / z) / (u * (z * u))) = T(x,y / ((u * (z * u)) * z)). [hyper(58,a,12041,a(flip),b,12577,a),flip(a)]. given #11904 (H,wt=23): 12579 T(x,(y / z) / (u * (z * u))) = T(x,y / (z * ((u * z) * u))). [para(6707(a,1),12578(a,2,2,2))]. given #11905 (H,wt=23): 12580 T(x,(y / z) / (u * (z * u))) = T(x,y / (z * (u * (z * u)))). [hyper(272,a,9828,a(flip),b,12579,a),flip(a)]. given #11906 (H,wt=35): 12189 T(x,((y * (1 / z)) \ 1) * (u \ ((y \ 1) / u))) = T(x,(y \ 1) * (T(z,y) * (u \ ((y \ 1) / u)))). [para(4154(a,2),12186(a,1,2,1))]. given #11907 (H,wt=33): 12581 T(x,(y \ 1) * (T(z,y) * (u \ ((y \ 1) / u)))) = T(x,((y * (1 / z)) \ 1) / ((u * y) * u)). [hyper(58,a,9749,a(flip),b,12189,a),flip(a)]. given #11908 (H,wt=33): 12582 T(x,(y \ 1) * (T(z,y) * (u \ ((y \ 1) / u)))) = T(x,((y * (1 / z)) \ 1) / (u * (y * u))). [hyper(272,a,9480,a(flip),b,12581,a),flip(a)]. given #11909 (H,wt=33): 12583 T(x,(y \ 1) * (T(z,y) * (u \ ((y \ 1) / u)))) = T(x,(y * (1 / z)) \ ((u * (y * u)) \ 1)). [hyper(272,a,6021,a(flip),b,12582,a),flip(a)]. given #11910 (H,wt=33): 12584 T(x,(y \ 1) * (T(z,y) * (u \ ((y \ 1) / u)))) = T(x,(y * (1 / z)) \ ((y * u) \ (u \ 1))). [hyper(272,a,9681,a(flip),b,12583,a),flip(a)]. given #11911 (H,wt=33): 12585 T(x,(y \ 1) * (T(z,y) * (u \ ((y \ 1) / u)))) = T(x,(y * (1 / z)) \ (u \ (y \ (u \ 1)))). [hyper(272,a,9760,a(flip),b,12584,a),flip(a)]. given #11912 (H,wt=31): 12586 T(x,(y \ 1) * (T(z,y) * (u \ ((y \ 1) / u)))) = T(x,(z / y) * (u \ (y \ (u \ 1)))). [hyper(272,a,8584,a(flip),b,12585,a),flip(a)]. given #11913 (H,wt=29): 12587 T(x,(y \ 1) * (T(z,y) * (u \ ((y \ 1) / u)))) = T(x,(z / y) / ((u * y) * u)). [hyper(272,a,9801,a(flip),b,12586,a),flip(a)]. given #11914 (H,wt=29): 12588 T(x,(y \ 1) * (T(z,y) * (u \ ((y \ 1) / u)))) = T(x,(z / y) / (u * (y * u))). [hyper(272,a,9480,a(flip),b,12587,a),flip(a)]. given #11915 (H,wt=35): 12457 a(x,K(y,z \ 1) * u,T(w,z * (T(1 / z,y) \ u))) = a(x,K(y,z \ 1) * u,T(w,z * z)). [para(5172(a,1),12456(a,1,3,2))]. given #11916 (H,wt=35): 12589 a(x,K(y,z \ 1) * u,T(w,z * (T(z / 1,y) * u))) = a(x,K(y,z \ 1) * u,T(w,z * z)). [para(9882(a,1),12457(a,1,3))]. given #11917 (H,wt=33): 12590 a(x,K(y,z \ 1) * u,T(w,z * (T(z,y) * u))) = a(x,K(y,z \ 1) * u,T(w,z * z)). [para(70(a,1),12589(a,1,3,2,2,1,1))]. given #11918 (H,wt=36): 12505 a(x,y,z) \ (y * ((u * a(x,y,z)) / a(x,y,z))) = (y / a(x,y,z)) * L(u,a(x,y,z),a(x,y,z)). [para(12504(a,1),10824(a,1,2))]. given #11919 (H,wt=26): 12591 (x / a(y,x,z)) * L(u,a(y,x,z),a(y,x,z)) = a(y,x,z) \ (x * u). [para(6(a,1),12505(a,1,2,2)),flip(a)]. given #11920 (H,wt=26): 12592 (a(x,y,z) \ y) * L(u,a(x,y,z),a(x,y,z)) = a(x,y,z) \ (y * u). [para(10815(a,1),12591(a,1,1))]. given #11921 (H,wt=17): 12593 a(x,y,z) \ (y * u) = (a(x,y,z) \ y) * u. [para(10817(a,1),12592(a,1,2)),flip(a)]. given #11922 (H,wt=17): 12594 a(x,y,z) \ (y * u) = y * (a(x,y,z) \ u). [hyper(272,a,12557,a(flip),b,12593,a),flip(a)]. given #11923 (H,wt=37): 10453 L(x,(y \ 1) \ (z \ 1),((y \ 1) \ (z \ 1)) \ (((y \ 1) \ (z \ 1)) \ y)) = L(x,(y \ 1) \ z,y \ 1). [hyper(272,a,8884,a(flip),b,10451,a),flip(a)]. given #11924 (H,wt=37): 10691 K(x,T(((y \ 1) / z) \ u,y \ (y / z))) = K(x,((y \ 1) * (u / (y \ 1))) / ((y \ (y / z)) * (y \ 1))). [para(4927(a,1),10689(a,1,2,1,1))]. given #11925 (H,wt=35): 12596 K(x,T(((y \ 1) / z) \ u,z \ 1)) = K(x,((y \ 1) * (u / (y \ 1))) / ((y \ (y / z)) * (y \ 1))). [para(4467(a,1),10691(a,1,2))]. given #11926 (H,wt=33): 12597 K(x,T(((y \ 1) / z) \ u,z)) = K(x,((y \ 1) * (u / (y \ 1))) / ((y \ (y / z)) * (y \ 1))). [hyper(58,a,5971,a(flip),b,12596,a)]. given #11927 (H,wt=33): 12599 K(x,T((y / (z \ 1)) * u,y)) = K(x,((z \ 1) * (u / (z \ 1))) / ((z \ (z / y)) * (z \ 1))). [hyper(8703,a,12597,a)]. given #11928 (H,wt=33): 12600 K(x,T((y * (1 \ z)) * u,y)) = K(x,((z \ 1) * (u / (z \ 1))) / ((z \ (z / y)) * (z \ 1))). [hyper(9812,a,12599,a)]. given #11929 (H,wt=31): 12601 K(x,T((y * z) * u,y)) = K(x,((z \ 1) * (u / (z \ 1))) / ((z \ (z / y)) * (z \ 1))). [para(60(a,1),12600(a,1,2,1,1,2))]. given #11930 (H,wt=29): 12602 K(x,T((y * z) * u,y)) = K(x,(z * (u * (1 / z))) / ((z \ (z / y)) * (z \ 1))). [para(4535(a,1),12601(a,2,2,1))]. given #11931 (H,wt=27): 12603 K(x,T((y * z) * u,y)) = K(x,(z * (u * (1 / z))) / (z \ ((z / y) / z))). [para(684(a,1),12602(a,2,2,2))]. given #11932 (H,wt=27): 12604 K(x,T((y * z) * u,y)) = K(x,(z * (u * (1 / z))) * (((z / y) / z) \ z)). [hyper(272,a,8625,a(flip),b,12603,a),flip(a)]. given #11933 (H,wt=25): 12605 K(x,T((y * z) * u,y)) = K(x,(z * (u * (1 / z))) * (z / (y \ 1))). [para(3515(a,1),12604(a,2,2,2))]. given #11934 (H,wt=23): 12606 K(x,T((y * z) * u,y)) = K(x,(z * (u * (1 / z))) * (z * y)). [hyper(272,a,8532,a(flip),b,12605,a),flip(a)]. given #11935 (H,wt=19): 12607 K(x,T((y * z) * u,y)) = K(x,T(u,z) * (z * y)). [hyper(272,a,8646,a(flip),b,12606,a),flip(a)]. given #11936 (H,wt=17): 12608 K(x,T((y * z) * u,y)) = K(x,z * (u * y)). [hyper(272,a,11899,a(flip),b,12607,a),flip(a)]. given #11937 (H,wt=19): 12609 K(x,y * (y * (z * (u / y)))) = K(x,z * (u * y)). [hyper(58,a,9494,a,b,12608,a)]. given #11938 (H,wt=21): 12610 L(x,y,K(z,(u * w) * v5)) = L(x,y,K(z,w * (v5 * u))). [para(12609(a,1),11205(a,1,3)),flip(a)]. given #11939 (H,wt=23): 12611 L(x,y,K(z,(u * w) * (v5 \ 1))) = L(x,y,K(z,w * (v5 \ u))). [para(9665(a,1),12610(a,2,3))]. given #11940 (H,wt=21): 12612 L(x,y,K(z,(u * w) / v5)) = L(x,y,K(z,w * (v5 \ u))). [para(5973(a,1),12611(a,1,3))]. given #11941 (H,wt=21): 12613 L(x,y,K(z,u \ (w * v5))) = L(x,y,K(z,v5 * (u \ w))). [hyper(58,a,11196,a(flip),b,12612,a)]. given #11942 (H,wt=24): 12614 L(L(x,y,z),y,K(z,u * (w \ v5))) = L(x,y,T(z,w \ (v5 * u))). [hyper(10735,a,12613,a),flip(a)]. given #11943 (H,wt=24): 12615 L(x,y,T(z,u \ (w * v5))) != v6 | L(x,y,T(z,v5 * (u \ w))) = v6. [para(12614(a,1),10735(a,1))]. given #11944 (H,wt=37): 11031 a(x,y,K(z,u)) \ ((w * (a(x,y,K(z,u)) * v5)) * a(x,y,K(z,u))) = ((1 / a(x,y,K(z,u))) \ w) * v5. [para(10982(a,1),7954(a,1,2,1,2))]. given #11945 (H,wt=30): 12616 T(x * (a(y,z,K(u,w)) * v5),a(y,z,K(u,w))) = ((1 / a(y,z,K(u,w))) \ x) * v5. [hyper(291,a,11031,a)]. given #11946 (H,wt=23): 12617 ((1 / a(x,y,K(z,u))) \ w) * v5 = w * (a(x,y,K(z,u)) * v5). [hyper(10983,a,12616,a),flip(a)]. given #11947 (H,wt=23): 12619 ((a(x,y,K(z,u)) * 1) \ w) * v5 = w * (a(x,y,K(z,u)) * v5). [para(10982(a,1),12617(a,1,1,1))]. given #11948 (H,wt=21): 12620 (a(x,y,K(z,u)) \ w) * v5 = w * (a(x,y,K(z,u)) * v5). [para(3(a,1),12619(a,1,1,1))]. given #11949 (H,wt=21): 12621 (a(x,y,K(z,u)) * w) * v5 = w * (a(x,y,K(z,u)) * v5). [para(7950(a,1),12620(a,1,1))]. given #11950 (H,wt=21): 12622 (x * a(y,z,K(u,w))) * v5 = x * (a(y,z,K(u,w)) * v5). [para(10973(a,1),12621(a,1,1))]. given #11951 (H,wt=21): 12623 x \ (y * a(z,u,K(w,v5))) = (x \ y) * a(z,u,K(w,v5)). [hyper(30,a,6480,a,b,12622,a)]. given #11952 (H,wt=21): 12624 (a(x,y,K(z,u)) * w) \ v5 = (w \ v5) * a(x,y,K(z,u)). [hyper(58,a,11137,a,b,12623,a)]. given #11953 (H,wt=18): 12626 K(x,(a(y,z,K(u,w)) * v5) \ v6) = K(x,v5 \ v6). [para(12624(a,2),11414(a,1,2))]. given #11954 (H,wt=18): 12627 K(x,(y * a(z,u,K(w,v5))) \ v6) = K(x,y \ v6). [para(10973(a,1),12626(a,1,2,1))]. given #11955 (H,wt=21): 12625 x \ (a(y,z,K(u,w)) * v5) = (x \ v5) * a(y,z,K(u,w)). [para(10973(a,2),12623(a,1,2))]. given #11956 (H,wt=21): 12629 x * ((x \ y) * a(z,u,K(w,v5))) = a(z,u,K(w,v5)) * y. [hyper(127,a,12625,a)]. given #11957 (H,wt=21): 12630 a(x,y,K(z,u)) * (w * v5) = w * (v5 * a(x,y,K(z,u))). [para(4(a,1),12629(a,1,2,1)),flip(a)]. given #11958 (H,wt=19): 12631 a(x,y,K(z,u)) * (w * x) = w * L(x,u,K(y,z)). [para(10707(a,1),12630(a,2,2))]. given #11959 (H,wt=16): 12632 T(x,y * L(z,u,K(w,v5))) = T(x,y * z). [para(12631(a,1),11411(a,1,2))]. given #11960 (H,wt=18): 12633 T(x,T(y,z) * L(z,u,K(w,v5))) = T(x,z * y). [hyper(272,a,5778,a(flip),b,12632,a),flip(a)]. given #11961 (H,wt=16): 12636 T(x,L(y,z,K(u,w)) * v5) = T(x,y * v5). [para(10994(a,1),12633(a,1,2))]. given #11962 (H,wt=18): 12635 T(x,y * T(z,L(u,w,v5))) = T(x,y * T(z,u)). [para(10702(a,1),12632(a,1,2,2))]. given #11963 (H,wt=19): 12637 T(x,L(y,z,T(u,w)) * v5) = T(x,L(y,z,u) * v5). [para(7022(a,1),12636(a,1,2,1))]. given #11964 (H,wt=23): 12628 K(x,((y * (z * K(u,w))) * K(w,u)) \ v5) = K(x,(y * z) \ v5). [para(3936(a,1),12627(a,1,2,1))]. given #11965 (H,wt=23): 12640 K(x,K(y,z) * ((u * (w * K(y,z))) \ v5)) = K(x,(u * w) \ v5). [hyper(11044,a,12628,a)]. given #11966 (H,wt=25): 12634 T(x,(y * z) * R(u,y,z)) = T(x,y * (L(u,w,K(v5,v6)) * T(z,u))). [hyper(58,a,12024,a(flip),b,12632,a),flip(a)]. given #11967 (H,wt=22): 12643 T(x,y * (L(z,u,K(w,v5)) * T(v6,z))) = T(x,y * (v6 * z)). [hyper(58,a,11816,a(flip),b,12634,a),flip(a)]. given #11968 (H,wt=20): 12644 T(x,y * (z * L(u,w,K(v5,v6)))) = T(x,y * (z * u)). [para(10992(a,1),12643(a,1,2,2))]. given #11969 (H,wt=25): 12638 T(x,y * T((z * u) * w,z)) = T(x,y * ((T(z,u * w) * u) * w)). [hyper(58,a,10619,a(flip),b,12635,a),flip(a)]. given #11970 (H,wt=24): 12646 T(x,y * T((z * u) * w,z)) = T(x,y * ((u * w) * R(z,u,w))). [para(2790(a,1),12638(a,2,2,2))]. given #11971 (H,wt=30): 12641 K(x,K(y,L(z,u,w)) * ((v5 * (w * (u * K(y,z)))) \ v6)) = K(x,(v5 * (w * u)) \ v6). [para(8235(a,1),12640(a,1,2,2,1,2))]. given #11972 (H,wt=27): 12647 K(x,K(y,z) * ((u * (w * (v5 * K(y,z)))) \ v6)) = K(x,(u * (w * v5)) \ v6). [hyper(11422,a,12641,a)]. given #11973 (H,wt=29): 12649 K(x,K(y,T(z,u)) * ((w * (v5 * (K(y,z) * u))) \ v6)) = K(x,(w * (v5 * u)) \ v6). [para(5236(a,1),12647(a,1,2,2,1,2,2))]. given #11974 (H,wt=27): 12650 K(x,K(y,z) * ((u * (w * (K(y,z) * v5))) \ v6)) = K(x,(u * (w * v5)) \ v6). [hyper(11348,a,12649,a)]. given #11975 (H,wt=24): 12651 K(x,(y * (z * u)) \ ((y * z) * u)) = a(x,z,K(K(w,v5) * u,y)). [hyper(58,a,11646,a(flip),b,12650,a),flip(a)]. given #11976 (H,wt=17): 12653 a(x,y,K(K(z,u) * w,v5)) = K(x,a(v5,y,w)). [para(9(a,2),12651(a,1,2)),flip(a)]. given #11977 (H,wt=17): 12654 a(x,y,K(K(z,u) * w,v5)) = a(x,y,K(w,v5)). [hyper(272,a,10584,a,b,12653,a),flip(a)]. given #11978 (H,wt=17): 12655 a(x,y,K(z,K(u,w) * v5)) = a(z,y,K(v5,x)). [hyper(58,a,10580,a(flip),b,12654,a)]. given #11979 (H,wt=17): 12656 a(x,y,K(z,K(u,w) * v5)) = a(z,x,K(y,v5)). [hyper(272,a,10645,a(flip),b,12655,a),flip(a)]. given #11980 (H,wt=17): 12657 a(x,y,K(z,u * K(w,v5))) = a(z,x,K(y,u)). [para(5225(a,1),12656(a,1,3,2))]. given #11981 (H,wt=23): 12658 a(x,y,K(z,u * (w * T(v5,v6)))) = a(z,x,K(y,u * (w * v5))). [para(6276(a,1),12657(a,1,3,2))]. given #11982 (H,wt=37): 11836 T(x,K(y,T(z,u)) * ((w * K(y,T(z,u))) \ (u \ v5))) = T(x,(K(y,T(z,u)) * w) \ (u \ (K(y,z) * v5))). [para(10867(a,1),11829(a,1,2,2)),flip(a)]. given #11983 (H,wt=37): 11943 T(x,(y \ 1) * ((((1 / y) / z) * ((y / z) * (1 / y))) * u)) = T(x,((1 / y) / z) * (((1 / y) / z) * u)). [para(4644(a,1),11941(a,1,2,2,1,2))]. given #11984 (H,wt=35): 12660 T(x,(y \ 1) * ((((1 / y) / z) * ((y / z) / y)) * u)) = T(x,((1 / y) / z) * (((1 / y) / z) * u)). [hyper(58,a,9930,a(flip),b,11943,a)]. given #11985 (H,wt=31): 12661 T(x,((1 / y) / z) * (((1 / y) / z) * u)) = T(x,(y \ 1) * ((z \ (1 / (z * y))) * u)). [para(7467(a,1),12660(a,1,2,2,1)),flip(a)]. given #11986 (H,wt=29): 12662 T(x,((1 / y) / z) * (((1 / y) / z) * u)) = T(x,(y \ 1) * (((z * y) * z) \ u)). [hyper(272,a,8843,a(flip),b,12661,a),flip(a)]. given #11987 (H,wt=29): 12663 T(x,((1 / y) / z) * (((1 / y) / z) * u)) = T(x,(y \ 1) * ((z * (y * z)) \ u)). [hyper(272,a,8664,a(flip),b,12662,a),flip(a)]. given #11988 (H,wt=27): 12664 T(x,((1 / y) / z) * (((1 / y) / z) * u)) = T(x,y \ ((z * (y * z)) \ u)). [hyper(272,a,6009,a(flip),b,12663,a),flip(a)]. given #11989 (H,wt=27): 12665 T(x,y * (((1 / z) / u) * ((1 / z) / u))) = T(x,z \ ((u * (z * u)) \ y)). [para(2956(a,2),12664(a,1,2))]. given #11990 (H,wt=27): 12666 T(x,y * ((z \ (1 / u)) * (z \ (1 / u)))) = T(x,u \ ((z * (u * z)) \ y)). [para(4115(a,1),12665(a,1,2,2))]. given #11991 (H,wt=25): 12667 T(x,y * (z \ (u \ (1 / (u * z))))) = T(x,z \ ((u * (z * u)) \ y)). [para(7220(a,1),12666(a,1,2,2))]. given #11992 (H,wt=23): 12668 T(x,y / (((z * u) * z) * u)) = T(x,u \ ((z * (u * z)) \ y)). [hyper(58,a,9731,a(flip),b,12667,a)]. given #11993 (H,wt=23): 12669 T(x,y / (z * (u * (z * u)))) = T(x,z \ ((u * (z * u)) \ y)). [para(6710(a,1),12668(a,1,2,2))]. given #11994 (H,wt=23): 12670 T(x,(y / z) / (u * (z * u))) = T(x,z \ ((u * (z * u)) \ y)). [hyper(58,a,12580,a,b,12669,a)]. given #11995 (H,wt=26): 12671 T(x,y \ ((z * (y * z)) \ u)) != w | T(x,(y * z) \ ((y * z) \ u)) = w. [para(12669(a,1),9758(a,1))]. given #11996 (H,wt=29): 12672 T(x,(y \ 1) * (T(z,y) * (u \ ((y \ 1) / u)))) = T(x,y \ ((u * (y * u)) \ z)). [hyper(58,a,12588,a,b,12670,a)]. given #11997 (H,wt=27): 12673 T(x,(y \ 1) * (T(z,y) / ((u * y) * u))) = T(x,y \ ((u * (y * u)) \ z)). [hyper(58,a,10118,a(flip),b,12672,a)]. given #11998 (H,wt=27): 12674 T(x,(y \ 1) * (T(z,y) / (u * (y * u)))) = T(x,y \ ((u * (y * u)) \ z)). [hyper(58,a,8840,a(flip),b,12673,a)]. given #11999 (H,wt=25): 12675 T(x,(y \ 1) * (z \ (y \ (z \ u)))) = T(x,y \ ((z * (y * z)) \ u)). [hyper(58,a,9936,a(flip),b,12674,a)]. given #12000 (H,wt=23): 12676 T(x,y \ ((z * (y * z)) \ u)) = T(x,y \ (z \ (y \ (z \ u)))). [hyper(6112,a,12675,a),flip(a)]. given #12001 (H,wt=23): 12677 T(x,(y * z) \ ((y * z) \ u)) = T(x,y \ (z \ (y \ (z \ u)))). [hyper(12671,a,12676,a)]. given #12002 (H,wt=23): 12678 T(x,y / (z * (u * (z * u)))) = T(x,z \ (u \ (z \ (u \ y)))). [hyper(58,a,12669,a,b,12676,a)]. given #12003 (H,wt=37): 12147 T(x,(y * (z * z)) * ((z \ 1) * (u \ ((z \ 1) / u)))) = T(x,y * (T(z,z \ 1) * (u \ ((z \ 1) / u)))). [para(4523(a,1),12146(a,2,2,2))]. given #12004 (H,wt=37): 12281 ((x \ (y \ T(1 / y,z))) \ (y \ T(1 / y,z))) * (y \ T(1 / y,z)) = (x \ (T(1 / y,z) \ y)) \ 1. [hyper(58,a,10138,a,b,12279,a)]. given #12005 (H,wt=23): 12679 (x \ T(1 / x,y)) / (1 / z) = (z \ (T(1 / x,y) \ x)) \ 1. [hyper(3553,a,12281,a)]. given #12006 (H,wt=25): 12680 x * (((y * x) \ 1) * ((y / x) \ 1)) = (x \ (T(1 / y,x) \ y)) \ 1. [hyper(58,a,7513,a,b,12679,a)]. given #12007 (H,wt=21): 12681 x * (((y * x) \ 1) * ((y / x) \ 1)) = y \ (1 / (y / x)). [hyper(272,a,12280,a(flip),b,12680,a),flip(a)]. given #12008 (H,wt=19): 12682 x * (x * (y \ (1 / (y * x)))) = y \ (1 / (y / x)). [para(7509(a,1),12681(a,1,2))]. given #12009 (H,wt=27): 12684 x * ((x * x) * ((y \ (1 / (y * x))) * x)) = (x * (y \ (1 / (y / x)))) * x. [para(12682(a,1),4703(a,1,1,2)),flip(a)]. given #12010 (H,wt=25): 12685 x * ((x * x) * (y \ T(1 / y,x))) = (x * (y \ (1 / (y / x)))) * x. [para(4935(a,1),12684(a,1,2,2))]. given #12011 (H,wt=25): 12686 x * (x * (x * (y \ T(1 / y,x)))) = (x * (y \ (1 / (y / x)))) * x. [para(10100(a,1),12685(a,1,2))]. given #12012 (H,wt=21): 12687 (x * (y \ (1 / (y / x)))) * x = x * (x * (y \ (x / y))). [para(2300(a,1),12686(a,1,2,2)),flip(a)]. given #12013 (H,wt=19): 12688 T(x * (y \ (1 / (y / x))),x) = x * (y \ (x / y)). [hyper(215,a,12687,a,b,xx)]. given #12014 (H,wt=19): 12690 T(x * (y \ (1 / (y / x))),x) = ((y \ x) / y) * x. [hyper(272,a,6727,a,b,12688,a),flip(a)]. given #12015 (H,wt=23): 12691 T(x * (y \ (1 / (y / x))),x) = ((x * x) * ((y \ x) / y)) / x. [hyper(272,a,3247,a,b,12690,a),flip(a)]. given #12016 (H,wt=21): 12692 x * (x * (y \ (1 / (y / x)))) = (x * x) * ((y \ x) / y). [hyper(2807,a,12691,a)]. given #12017 (H,wt=26): 12689 x * (x * (y \ (x / y))) != x * z | T(x * (y \ (1 / (y / x))),x) = z. [para(12687(a,1),216(a,2)),flip(a)]. given #12018 (H,wt=31): 12683 (x \ 1) * (x \ ((1 / x) * (y \ (1 / (y * (1 / x)))))) = x \ (y \ (1 / (y / (1 / x)))). [para(12682(a,1),1155(a,1,2)),flip(a)]. given #12019 (H,wt=31): 12694 (x \ 1) * (x \ ((1 / x) * (y \ (1 / (y * (1 / x)))))) = x \ (y \ ((x \ 1) * (1 / y))). [para(4173(a,1),12683(a,2,2,2))]. given #12020 (H,wt=29): 12695 (x \ 1) * (x \ ((1 / x) * (y \ (1 / (y * (1 / x)))))) = x \ ((y \ (x \ 1)) / y). [para(3530(a,1),12694(a,2,2))]. given #12021 (H,wt=29): 12696 (x \ 1) * (x \ ((1 / x) * (y \ (1 / (y * (1 / x)))))) = x \ ((x * y) \ (1 / y)). [para(4858(a,1),12695(a,2,2))]. given #12022 (H,wt=29): 12697 (x \ 1) * (x \ ((1 / x) * (y \ ((x \ 1) \ (1 / y))))) = x \ ((x * y) \ (1 / y)). [para(4149(a,1),12696(a,1,2,2,2,2))]. given #12023 (H,wt=27): 12698 (x \ 1) * (x \ ((1 / x) * ((x \ y) \ (1 / y)))) = x \ ((x * y) \ (1 / y)). [para(5100(a,1),12697(a,1,2,2,2))]. given #12024 (H,wt=25): 12699 (x \ 1) * (x \ (x * ((y \ (1 / x)) / y))) = x \ ((x * y) \ (1 / y)). [para(10160(a,1),12698(a,1,2,2))]. given #12025 (H,wt=21): 12700 (x \ 1) * ((y \ (1 / x)) / y) = x \ ((x * y) \ (1 / y)). [hyper(507,a,12699,a)]. given #12026 (H,wt=35): 12693 ((1 / x) * ((1 / x) * (y \ (1 / (y / (1 / x)))))) * x = x \ ((1 / x) * (((y \ (1 / x)) / y) * x)). [para(12692(a,2),664(a,1,1))]. given #12027 (H,wt=35): 12702 ((1 / x) * ((1 / x) * (y \ ((x \ 1) * (1 / y))))) * x = x \ ((1 / x) * (((y \ (1 / x)) / y) * x)). [para(4173(a,1),12693(a,1,1,2,2,2))]. given #12028 (H,wt=33): 12703 ((1 / x) * ((1 / x) * ((y \ (x \ 1)) / y))) * x = x \ ((1 / x) * (((y \ (1 / x)) / y) * x)). [para(3530(a,1),12702(a,1,1,2,2))]. given #12029 (H,wt=33): 12704 ((1 / x) * ((1 / x) * ((x * y) \ (1 / y)))) * x = x \ ((1 / x) * (((y \ (1 / x)) / y) * x)). [para(4858(a,1),12703(a,1,1,2,2))]. given #12030 (H,wt=37): 12595 L(x,(y \ 1) \ (z \ 1),((y \ 1) \ (z \ 1)) \ (((z \ 1) \ y) * (1 / y))) = L(x,(y \ 1) \ z,y \ 1). [para(4907(a,1),10453(a,1,3,2))]. given #12031 (H,wt=37): 12659 T(x,K(y,T(z,u)) * ((w * K(y,T(z,u))) \ (u \ v5))) = T(x,K(y,T(z,u)) * (w \ (u \ (K(y,z) * v5)))). [hyper(272,a,11516,a(flip),b,11836,a),flip(a)]. given #12032 (H,wt=35): 12706 T(x,K(y,T(z,u)) * ((w * K(y,T(z,u))) \ (u \ v5))) = T(x,K(y,z) * (w \ (u \ (K(y,z) * v5)))). [hyper(272,a,11320,a(flip),b,12659,a),flip(a)]. given #12033 (H,wt=35): 12708 T(x,K(y,T(z,u)) * ((K(y,T(z,u)) / w) * (u \ v5))) = T(x,K(y,z) * (w \ (u \ (K(y,z) * v5)))). [hyper(58,a,8516,a(flip),b,12706,a)]. given #12034 (H,wt=23): 12709 T(x,K(y,z) * (u \ (w \ (K(y,z) * v5)))) = T(x,u \ (w \ v5)). [hyper(58,a,11523,a(flip),b,12708,a),flip(a)]. given #12035 (H,wt=23): 12711 T(x,y \ (z \ (K(u,w) * v5))) = T(x,K(u,w) * (y \ (z \ v5))). [para(3893(a,1),12709(a,1,2,2,2,2)),flip(a)]. given #12036 (H,wt=25): 12712 T(x,K(y,K(z,u)) * (w \ (v5 \ T(z,K(y,u))))) = T(x,w \ (v5 \ z)). [para(5521(a,1),12709(a,1,2,2,2,2))]. given #12037 (H,wt=19): 12714 T(x,y \ (z \ T(u,K(w,v5)))) = T(x,y \ (z \ u)). [hyper(58,a,11314,a(flip),b,12712,a)]. given #12038 (H,wt=25): 12713 T(x,K(y,z) * (u \ (w \ (1 / v5)))) = T(x,u \ (w \ (K(y,z) / v5))). [para(5612(a,1),12709(a,1,2,2,2,2))]. given #12039 (H,wt=27): 12716 T(x,y \ (z \ (1 / (K(u,w) / v5)))) = T(x,y \ (z \ ((v5 \ K(u,w)) \ 1))). [para(3452(a,1),12714(a,1,2,2,2))]. given #12040 (H,wt=27): 12717 T(x,y \ (z \ (1 / (K(u,w) / v5)))) = T(x,y \ (z \ ((K(u,w) \ v5) * 1))). [hyper(272,a,9761,a(flip),b,12716,a),flip(a)]. given #12041 (H,wt=27): 12718 T(x,y \ (z \ (1 / (K(u,w) / v5)))) = T(x,y \ (z \ ((K(u,w) * v5) * 1))). [para(3901(a,1),12717(a,2,2,2,2,1))]. given #12042 (H,wt=25): 12719 T(x,y \ (z \ (1 / (K(u,w) / v5)))) = T(x,y \ (z \ (K(u,w) * v5))). [para(3(a,1),12718(a,2,2,2,2))]. given #12043 (H,wt=25): 12720 T(x,y \ (z \ (1 / (K(u,w) / v5)))) = T(x,K(u,w) * (y \ (z \ v5))). [hyper(272,a,12711,a(flip),b,12719,a),flip(a)]. given #12044 (H,wt=25): 12721 T(x,y \ (z \ ((u \ 1) \ K(w,v5)))) = T(x,K(w,v5) * (y \ (z \ u))). [para(5641(a,1),12720(a,1,2,2,2))]. given #12045 (H,wt=25): 12722 T(x,K(y,z) * (u \ (w \ (1 / v5)))) = T(x,u \ (w \ (v5 \ K(y,z)))). [para(74(a,1),12721(a,1,2,2,2,1)),flip(a)]. given #12046 (H,wt=23): 12723 T(x,y \ (z \ (K(u,w) / v5))) = T(x,y \ (z \ (v5 \ K(u,w)))). [hyper(58,a,12713,a(flip),b,12722,a)]. given #12047 (H,wt=25): 12724 T(x,(1 / y) \ (z \ (u \ K(w,v5)))) = T(x,y * (z \ (K(w,v5) / u))). [hyper(58,a,6022,a(flip),b,12723,a),flip(a)]. given #12048 (H,wt=23): 12725 T(x,y * (z \ (K(u,w) / v5))) = T(x,y * (z \ (v5 \ K(u,w)))). [hyper(58,a,6022,a(flip),b,12724,a),flip(a)]. given #12049 (H,wt=23): 12726 T(x,y * ((z * u) \ K(w,v5))) = T(x,y * (u \ (z \ K(w,v5)))). [hyper(11466,a,12725,a)]. given #12050 (H,wt=29): 12727 T(x,y * (K(z,u) * ((w \ 1) / (1 / v5)))) = T(x,y * (w \ ((v5 \ 1) \ K(z,u)))). [hyper(58,a,11625,a,b,12726,a)]. given #12051 (H,wt=29): 12728 T(x,y * (K(z,u) * ((w \ 1) / (1 / v5)))) = T(x,y * (w \ ((1 \ v5) * K(z,u)))). [hyper(272,a,9743,a(flip),b,12727,a),flip(a)]. given #12052 (H,wt=27): 12729 T(x,y * (K(z,u) * ((w \ 1) / (1 / v5)))) = T(x,y * (w \ (v5 * K(z,u)))). [para(60(a,1),12728(a,2,2,2,2,1))]. given #12053 (H,wt=27): 12730 T(x,y * (K(z,u) * ((w \ 1) / (1 / v5)))) = T(x,y * ((w \ K(z,u)) * v5)). [hyper(272,a,11960,a(flip),b,12729,a),flip(a)]. given #12054 (H,wt=27): 12731 T(x,y * (K(z,u) * (((w \ 1) * v5) \ 1))) = T(x,y * ((v5 \ K(z,u)) * w)). [para(4150(a,1),12730(a,1,2,2,2))]. given #12055 (H,wt=25): 12732 T(x,y * (K(z,u) / ((w \ 1) * v5))) = T(x,y * ((v5 \ K(z,u)) * w)). [hyper(58,a,8483,a(flip),b,12731,a)]. given #12056 (H,wt=25): 12733 T(x,y * (K(z,u) * (w \ (1 \ v5)))) = T(x,y * ((w \ K(z,u)) * v5)). [hyper(58,a,9811,a(flip),b,12732,a)]. given #12057 (H,wt=23): 12734 T(x,y * ((z \ K(u,w)) * v5)) = T(x,y * (K(u,w) * (z \ v5))). [para(60(a,1),12733(a,1,2,2,2,2)),flip(a)]. given #12058 (H,wt=25): 12735 x \ T(x,y * (K(z,u) * (w \ v5))) = K(x,y * ((w \ K(z,u)) * v5)). [hyper(112,a,12734,a(flip),b,2674,a(flip))]. given #12059 (H,wt=23): 12736 K(x,y * ((z \ K(u,w)) * v5)) = K(x,y * (K(u,w) * (z \ v5))). [hyper(2691,a,12735,a),flip(a)]. given #12060 (H,wt=37): 12705 L(x,(y \ 1) \ (z \ 1),((y \ 1) \ (z \ 1)) \ (y * (((y \ z) \ 1) \ 1))) = L(x,(y \ 1) \ z,y \ 1). [para(5930(a,1),12595(a,1,3,2))]. given #12061 (H,wt=35): 12737 L(x,(y \ 1) \ (z \ 1),((y \ 1) \ (z \ 1)) \ (y / ((y \ z) \ 1))) = L(x,(y \ 1) \ z,y \ 1). [hyper(58,a,9124,a(flip),b,12705,a)]. given #12062 (H,wt=35): 12738 L(x,(y \ 1) \ (z \ 1),((y \ 1) \ (z \ 1)) \ (y * (1 / (z \ y)))) = L(x,(y \ 1) \ z,y \ 1). [para(4095(a,1),12737(a,1,3,2))]. given #12063 (H,wt=29): 12739 L(x,(y \ 1) \ (z \ 1),((z / y) * y) * (y \ z)) = L(x,(y \ 1) \ z,y \ 1). [para(7799(a,1),12738(a,1,3))]. given #12064 (H,wt=25): 12740 L(x,(y \ 1) \ (z \ 1),z * (y \ z)) = L(x,(y \ 1) \ z,y \ 1). [para(7(a,1),12739(a,1,3,1))]. given #12065 (H,wt=23): 12741 L(x,y * (z \ 1),z * (y \ z)) = L(x,(y \ 1) \ z,y \ 1). [hyper(9259,a,12740,a)]. given #12066 (H,wt=21): 12743 L(x,(y \ 1) \ z,y \ 1) = L(x,z \ y,(y \ z) * z). [hyper(58,a,12487,a(flip),b,12741,a),flip(a)]. given #12067 (H,wt=19): 12744 L(x,(y \ 1) \ z,y \ 1) = R(x,y \ 1,z \ y). [hyper(272,a,10452,a(flip),b,12743,a),flip(a)]. given #12068 (H,wt=17): 12745 R(x,y \ 1,z \ y) = L(x,y * z,y \ 1). [hyper(9259,a,12744,a),flip(a)]. given #12069 (H,wt=20): 12746 R(x,y \ 1,z \ y) != u | L(x,y * z,y \ 1) = u. [para(12744(a,1),9259(a,1))]. given #12070 (H,wt=38): 11710 L(x,(y * (z * u)) \ (u * y),(y * (z * u)) \ (u * y)) = L(x,L(T(z,u),u,y),(y * u) \ (y * (z * u))). [para(211(a,1),11708(a,1,2)),flip(a)]. given #12071 (H,wt=35): 12748 L(x,(y * (z * u)) \ (u * y),(y * (z * u)) \ (u * y)) = L(x,L(T(z,u),u,y),L(T(z,u),u,y)). [para(211(a,1),11710(a,2,3))]. given #12072 (H,wt=31): 12749 L(x,(y * (z * u)) \ (u * y),(y * (z * u)) \ (u * y)) = L(x,L(z,u,y),L(z,u,y)). [hyper(272,a,6852,a(flip),b,12748,a),flip(a)]. given #12073 (H,wt=39): 11566 T(x,T((y * z) \ (((z \ (y \ 1)) * u) \ (1 / (z \ (y \ 1)))),w)) = T(x,T((((1 / z) / y) \ 1) / u,w) * 1). [hyper(58,a,10139,a,b,11565,a)]. given #12074 (H,wt=37): 12751 T(x,T((y * z) \ (((z \ (y \ 1)) * u) \ (1 / (z \ (y \ 1)))),w)) = T(x,T((((1 / z) / y) \ 1) / u,w)). [para(3(a,1),11566(a,2,2))]. given #12075 (H,wt=37): 12752 T(x,T((y * z) \ (((z \ (y \ 1)) * u) \ (1 / (z \ (y \ 1)))),w)) = T(x,T(u * ((1 / z) / y),w) \ 1). [hyper(272,a,9794,a(flip),b,12751,a),flip(a)]. given #12076 (H,wt=37): 12753 T(x,T((y * z) \ (((z \ (y \ 1)) * u) \ (1 / (z \ (y \ 1)))),w)) = T(x,T((y / (1 / z)) / u,w) * 1). [hyper(272,a,9919,a(flip),b,12752,a),flip(a)]. given #12077 (H,wt=35): 12754 T(x,T((y * z) \ (((z \ (y \ 1)) * u) \ (1 / (z \ (y \ 1)))),w)) = T(x,T((y / (1 / z)) / u,w)). [para(3(a,1),12753(a,2,2))]. given #12078 (H,wt=35): 12755 T(x,T((y * z) \ (((z \ (y \ 1)) * u) \ (1 / (z \ (y \ 1)))),w)) = T(x,T((y * (z / 1)) / u,w)). [hyper(272,a,9905,a(flip),b,12754,a),flip(a)]. given #12079 (H,wt=33): 12756 T(x,T((y * z) \ (((z \ (y \ 1)) * u) \ (1 / (z \ (y \ 1)))),w)) = T(x,T((y * z) / u,w)). [para(70(a,1),12755(a,2,2,1,1,2))]. given #12080 (H,wt=33): 12757 T(x,T((y * z) \ (((z \ (y \ 1)) * u) \ (((1 / z) / y) \ 1)),w)) = T(x,T((y * z) / u,w)). [para(4902(a,1),12756(a,1,2,1,2,2))]. given #12081 (H,wt=33): 12758 T(x,T((((1 / y) / z) * ((y \ (z \ 1)) * u)) * (z * y),w) \ 1) = T(x,T((z * y) / u,w)). [hyper(58,a,9796,a(flip),b,12757,a)]. given #12082 (H,wt=29): 12759 T(x,T(((y * z) \ ((y * z) \ u)) * (z * y),w) \ 1) = T(x,T((z * y) / u,w)). [para(10219(a,1),12758(a,1,2,1,1,1))]. given #12083 (H,wt=29): 12760 T(x,T((y * z) \ (((z * y) \ u) \ (z * y)),w) * 1) = T(x,T((y * z) / u,w)). [hyper(58,a,10128,a(flip),b,12759,a)]. given #12084 (H,wt=29): 12761 T(x,T((y * z) \ ((u \ (z * y)) * (z * y)),w) * 1) = T(x,T((y * z) / u,w)). [para(3295(a,1),12760(a,1,2,1,1,2))]. given #12085 (H,wt=27): 12762 T(x,T((y * z) \ ((u \ (z * y)) * (z * y)),w)) = T(x,T((y * z) / u,w)). [para(3(a,1),12761(a,1,2))]. given #12086 (H,wt=27): 12763 T(x,T((y * z) \ ((z * y) * ((z * y) / u)),w)) = T(x,T((y * z) / u,w)). [hyper(58,a,9927,a(flip),b,12762,a)]. given #12087 (H,wt=23): 12764 T(x,T(K(y,z) * ((y * z) / u),w)) = T(x,T((z * y) / u,w)). [para(9542(a,1),12763(a,1,2,1))]. given #12088 (H,wt=23): 12765 T(x,K(y,z) * T((y * z) / u,w)) = T(x,T((z * y) / u,w)). [hyper(58,a,11362,a(flip),b,12764,a)]. given #12089 (H,wt=21): 12766 T(x,T(T(y * z,z) / u,w)) = T(x,T((z * y) / u,w)). [hyper(58,a,11501,a(flip),b,12765,a)]. given #12090 (H,wt=23): 12767 T(x,T((y * (z * y)) / u,w)) = T(x,T(y * (z * (y / u)),w)). [hyper(58,a,12053,a(flip),b,12766,a),flip(a)]. given #12091 (H,wt=27): 12768 T(x,T(y * (z * (y / u)),y * z)) = T(x,z * (z * (y * (u \ (y / z))))). [hyper(58,a,12023,a(flip),b,12767,a),flip(a)]. given #12092 (H,wt=23): 12769 T(x,y * (y * (z * (u \ (z / y))))) = T(x,((z / u) * z) * y). [hyper(58,a,11885,a(flip),b,12768,a),flip(a)]. given #12093 (H,wt=23): 12770 T(x,y * (y * (z * (u \ (z / y))))) = T(x,z * (u \ (z * y))). [hyper(272,a,11472,a(flip),b,12769,a),flip(a)]. given #12094 (H,wt=40): 11082 L(x,y,y) * T(K(z,u) * (y \ 1),(K(z,u) * (y \ 1)) \ 1) = T((y * K(z,u)) \ x,(K(z,u) * (y \ 1)) \ 1). [para(11081(a,1),3878(a,1,1)),flip(a)]. given #12095 (H,wt=38): 12771 L(x,y,y) * T(K(z,u) * (y \ 1),(K(z,u) * (y \ 1)) \ 1) = T((y * K(z,u)) \ x,(y \ 1) \ K(z,u)). [hyper(272,a,4474,a(flip),b,11082,a),flip(a)]. given #12096 (H,wt=36): 12772 L(x,y,y) * T(K(z,u) * (y \ 1),(K(z,u) * (y \ 1)) \ 1) = T((y * K(z,u)) \ x,y * K(z,u)). [hyper(272,a,5983,a(flip),b,12771,a),flip(a)]. given #12097 (H,wt=30): 12773 L(x,y,y) * T(K(z,u) * (y \ 1),(K(z,u) * (y \ 1)) \ 1) = x / (y * K(z,u)). [hyper(272,a,2775,a(flip),b,12772,a),flip(a)]. given #12098 (H,wt=28): 12774 L(x,y,y) * T(K(z,u) * (y \ 1),(y \ 1) \ K(z,u)) = x / (y * K(z,u)). [para(4474(a,1),12773(a,1,2))]. given #12099 (H,wt=26): 12775 L(x,y,y) * T(K(z,u) * (y \ 1),y * K(z,u)) = x / (y * K(z,u)). [para(5983(a,1),12774(a,1,2))]. given #12100 (H,wt=18): 12776 L(x,y,y) * (K(z,u) / y) = x / (y * K(z,u)). [para(5903(a,1),12775(a,1,2))]. given #12101 (H,wt=17): 12777 T((x \ y) * K(z,u),x) = y / (x * K(z,u)). [hyper(11751,a,12776,a)]. given #12102 (H,wt=19): 12778 ((x * x) \ y) * (K(z,u) * x) = y / (x * K(z,u)). [hyper(58,a,11757,a,b,12777,a)]. given #12103 (H,wt=21): 12779 (T(x,y) \ y) / (y * K(z,u)) = T((x \ 1) * K(z,u),y). [para(2934(a,1),12777(a,1,1,1)),flip(a)]. given #12104 (H,wt=21): 12780 K(x,T(y,z * (u \ z))) * (u / z) = u / (z * K(x,y)). [hyper(58,a,11450,a,b,12778,a)]. given #12105 (H,wt=17): 12781 K(x,T(y,z)) * (z / u) = z / (u * K(x,y)). [para(11228(a,1),12780(a,1,1))]. given #12106 (H,wt=23): 12782 K(x,T(y,z \ u)) * ((u * z) \ u) = (z \ u) / (u * K(x,y)). [para(3308(a,1),12781(a,1,2))]. given #12107 (H,wt=23): 12784 K(x,T(y,z * u)) * ((u * z) \ u) = (z \ u) / (u * K(x,y)). [para(11227(a,1),12782(a,1,1))]. given #12108 (H,wt=19): 12785 (x \ y) / (y * K(z,u)) = (y * x) \ (K(z,u) * y). [hyper(58,a,10941,a(flip),b,12784,a),flip(a)]. given #12109 (H,wt=21): 12786 (x * T(y,x)) \ (K(z,u) * x) = T((y \ 1) * K(z,u),x). [hyper(58,a,12779,a(flip),b,12785,a),flip(a)]. given #12110 (H,wt=19): 12787 T((x \ 1) * K(y,z),u) = (x * u) \ (K(y,z) * u). [para(98(a,1),12786(a,1,1)),flip(a)]. given #12111 (H,wt=17): 12788 (x * y) \ (K(z,u) * y) = T(x \ K(z,u),y). [para(5586(a,1),12787(a,1,1)),flip(a)]. given #12112 (H,wt=26): 12789 T(T((x * K(y,z)) \ K(y,z),u),K(y,z) * u) = L(x,y,K(u,z)) \ 1. [para(12788(a,1),11727(a,1,1))]. given #12113 (H,wt=24): 12790 T(T(T(x \ 1,K(y,z)),u),K(y,z) * u) = L(x,y,K(u,z)) \ 1. [para(2258(a,2),12789(a,1,1,1))]. given #12114 (H,wt=24): 12791 T(T(T(x,K(y,z)) \ 1,u),K(y,z) * u) = L(x,y,K(u,z)) \ 1. [para(5566(a,1),12790(a,1,1,1))]. given #12115 (H,wt=24): 12792 T(T(T(x,K(y,z)) \ 1,u),K(y,z) * u) = L(x,y,K(z,u)) \ 1. [para(28(a,1),12791(a,2,1,3))]. given #12116 (H,wt=40): 11711 L(x,(y * (z * u)) \ (u * y),(y * (z * u)) \ (u * y)) = L(x,R(T(z,u * y),u,y),(u * y) \ ((z * u) * y)). [para(546(a,1),11708(a,2,2))]. given #12117 (H,wt=39): 12793 L(x,(y * (z * u)) \ (u * y),(y * (z * u)) \ (u * y)) = L(x,R(T(z,u * y),u,y),R(T(z,u * y),u,y)). [para(546(a,1),11711(a,2,3))]. given #12118 (H,wt=31): 12794 L(x,(y * (z * u)) \ (u * y),(y * (z * u)) \ (u * y)) = L(x,R(z,u,y),R(z,u,y)). [hyper(272,a,6853,a(flip),b,12793,a),flip(a)]. given #12119 (H,wt=21): 12796 L(x,R(y,z,u),R(y,z,u)) = L(x,L(y,z,u),L(y,z,u)). [hyper(58,a,12749,a(flip),b,12794,a),flip(a)]. given #12120 (H,wt=41): 11107 (x \ T(y,z)) * ((x \ T(y,z)) * (((y \ x) * (x \ T(y,z))) * (y \ x))) = ((x \ T(y,z)) * (y \ x)) * ((y \ x) \ 1). [para(7478(a,1),11106(a,1,2)),flip(a)]. given #12121 (H,wt=38): 12797 (x \ T(y,z)) * ((x \ T(y,z)) * (((y \ x) * (x \ T(y,z))) * (y \ x))) = L(x \ T(y,z),y \ x,y \ x). [hyper(272,a,2005,a(flip),b,11107,a),flip(a)]. given #12122 (H,wt=32): 12798 (x \ T(y,z)) * ((x \ T(y,z)) * (1 / (x \ T(y,z)))) = L(x \ T(y,z),y \ x,y \ x). [para(7483(a,1),12797(a,1,2,2))]. given #12123 (H,wt=32): 12799 (x \ T(y,z)) * K(x \ T(y,z),(x \ T(y,z)) \ 1) = L(x \ T(y,z),y \ x,y \ x). [para(1050(a,2),12798(a,1,2))]. given #12124 (H,wt=25): 12800 L(x \ T(y,z),y \ x,y \ x) != u | ((x \ T(y,z)) \ 1) \ 1 = u. [para(12799(a,1),2752(a,1))]. given #12125 (H,wt=43): 11837 T(x,(y * ((y \ 1) \ z)) * (u \ T(y \ z,y * ((y \ 1) \ z)))) = T(x,T(u,y * ((y \ 1) \ z)) \ (z / (1 / (z * y)))). [para(7822(a,1),11831(a,1,2,2)),flip(a)]. given #12126 (H,wt=41): 12801 T(x,(y * ((y \ 1) \ z)) * (u \ T(y \ z,y * ((y \ 1) \ z)))) = T(x,T(u,y * (y * z)) \ (z / (1 / (z * y)))). [para(8481(a,1),11837(a,2,2,1))]. given #12127 (H,wt=41): 12802 T(x,(y * ((y \ 1) \ z)) * (u \ T(y \ z,y * ((y \ 1) \ z)))) = T(x,T(u,y * (y * z)) \ (z * ((z * y) / 1))). [hyper(272,a,9685,a(flip),b,12801,a),flip(a)]. given #12128 (H,wt=39): 12803 T(x,(y * ((y \ 1) \ z)) * (u \ T(y \ z,y * ((y \ 1) \ z)))) = T(x,T(u,y * (y * z)) \ (z * (z * y))). [para(70(a,1),12802(a,2,2,2,2))]. given #12129 (H,wt=39): 12804 T(x,(y * ((y \ 1) \ z)) * (u \ T(y \ z,y * ((y \ 1) \ z)))) = T(x,z * (z * (T(u,y * (y * z)) \ y))). [hyper(272,a,11929,a(flip),b,12803,a),flip(a)]. given #12130 (H,wt=37): 12805 T(x,(y * ((y \ 1) \ z)) * (u \ T(y \ z,y * (y * z)))) = T(x,z * (z * (T(u,y * (y * z)) \ y))). [para(8481(a,1),12804(a,1,2,2,2))]. given #12131 (H,wt=43): 12065 T(x,L(y,z * (u * u),T(w,z)) * (T(w,z) * (z * (u * u)))) = T(x,L(y,T(w,z),z * (u * u)) * ((z * (u * u)) * w)). [hyper(272,a,11881,a,b,11912,a)]. given #12132 (H,wt=41): 12806 T(x,L(y,T(z,u),u * (w * w)) * ((u * (w * w)) * z)) = T(x,L(y,u * (w * w),T(z,u)) * ((u * (w * w)) * z)). [hyper(58,a,9183,a(flip),b,12065,a),flip(a)]. given #12133 (H,wt=39): 12807 T(x,L(y,T(z,u),u * (w * w)) * ((u * (w * w)) * z)) = T(x,L(y,u * (w * w),z) * ((u * (w * w)) * z)). [hyper(272,a,12637,a(flip),b,12806,a),flip(a)]. given #12134 (H,wt=32): 12809 T(x,L(y,T(z,u),u * (w * w)) * ((u * (w * w)) * z)) = T(x,(y * (u * (w * w))) * z). [hyper(272,a,11911,a(flip),b,12807,a),flip(a)]. given #12135 (H,wt=25): 12810 T(x,(y * T(z,u)) * (u * (w * w))) = T(x,(y * (u * (w * w))) * z). [hyper(58,a,11912,a(flip),b,12809,a)]. given #12136 (H,wt=27): 12811 T(x,((y / z) * T(z,u)) * (u * (w * w))) = T(x,y * T(u * (w * w),z)). [hyper(272,a,11845,a(flip),b,12810,a),flip(a)]. given #12137 (H,wt=25): 12812 T(x,(y * K(z,u)) * (u * (w * w))) = T(x,y * T(u * (w * w),z)). [para(3668(a,1),12811(a,1,2,1))]. given #12138 (H,wt=25): 12813 T(x,y * (K(z,u) * (u * (w * w)))) = T(x,y * T(u * (w * w),z)). [hyper(58,a,11378,a(flip),b,12812,a)]. given #12139 (H,wt=23): 12814 T(x,y * T(z * (u * u),w)) = T(x,y * (T(z,w) * (u * u))). [para(2694(a,1),12813(a,1,2,2)),flip(a)]. given #12140 (H,wt=23): 12815 T(x,y * T(z * (u * u),w)) = T(x,y * (u * (u * T(z,w)))). [para(2956(a,1),12814(a,2,2,2))]. given #12141 (H,wt=25): 12816 T(x,T(y,z) * (u * (u * T(z,w)))) = T(x,T(z * (u * u),w) * y). [hyper(58,a,11623,a(flip),b,12815,a),flip(a)]. given #12142 (H,wt=23): 12817 T(x,T(y * (z * z),u) * w) = T(x,z * (z * (T(y,u) * w))). [hyper(58,a,11795,a(flip),b,12816,a),flip(a)]. given #12143 (H,wt=25): 12818 T(x,T(y * T((z * u) * u,w),z)) = T(x,u * (u * (T(z,w) * y))). [hyper(58,a,12140,a,b,12817,a)]. given #12144 (H,wt=31): 12819 T(x,T(y * ((z \ u) * (z \ u)),w) * v5) = T(x,(u / z) * ((u / z) * (T(y,w) * v5))). [para(4115(a,1),12817(a,1,2,1,1,2))]. given #12145 (H,wt=31): 12820 T(x,T(y * ((z \ u) * (z \ u)),u / z) * w) = T(x,(u / z) * (y * ((u / z) * w))). [hyper(272,a,11856,a(flip),b,12819,a),flip(a)]. given #12146 (H,wt=31): 12821 T(x,T(y * ((z \ u) * (z \ u)),z \ u) * w) = T(x,(u / z) * (y * ((u / z) * w))). [hyper(58,a,11330,a(flip),b,12820,a)]. given #12147 (H,wt=29): 12822 T(x,(((y \ z) \ u) * (1 / (y \ z))) * w) = T(x,(y / z) * (u * ((y / z) * w))). [para(7069(a,1),12821(a,1,2,1))]. given #12148 (H,wt=29): 12823 T(x,(((y \ z) \ u) * (1 * (z \ y))) * w) = T(x,(y / z) * (u * ((y / z) * w))). [hyper(9895,a,12822,a)]. given #12149 (H,wt=27): 12824 T(x,(((y \ z) \ u) * (z \ y)) * w) = T(x,(y / z) * (u * ((y / z) * w))). [para(2(a,1),12823(a,1,2,1,2))]. given #12150 (H,wt=27): 12825 T(x,(((y \ z) * u) * (y \ z)) * w) = T(x,(z / y) * (u * ((z / y) * w))). [hyper(9923,a,12824,a)]. given #12151 (H,wt=27): 12826 T(x,(y / z) * (u * ((y / z) * w))) = T(x,(z \ y) * (u * ((z \ y) * w))). [hyper(58,a,11470,a(flip),b,12825,a),flip(a)]. given #12152 (H,wt=31): 12827 T(x,(y * (((1 / z) * u) * ((z / y) \ 1))) * w) = T(x,(z \ y) * (u * ((z \ y) * w))). [hyper(58,a,11469,a,b,12826,a)]. given #12153 (H,wt=29): 12828 T(x,(y * (((1 / z) * u) / (z / y))) * w) = T(x,(z \ y) * (u * ((z \ y) * w))). [hyper(58,a,8675,a(flip),b,12827,a)]. given #12154 (H,wt=29): 12829 T(x,(y * (((1 / z) * u) * (y / z))) * w) = T(x,(z \ y) * (u * ((z \ y) * w))). [hyper(58,a,9917,a(flip),b,12828,a)]. given #12155 (H,wt=27): 12830 T(x,(y * ((z \ (u * y)) / z)) * w) = T(x,(z \ y) * (u * ((z \ y) * w))). [para(771(a,1),12829(a,1,2,1,2))]. given #12156 (H,wt=26): 12831 T(x,(y \ z) * (u * ((y \ z) * u))) = L(x,y \ (u * z),y \ (u * z)). [hyper(12013,a,12830,a),flip(a)]. given #12157 (H,wt=25): 12832 L(x,y \ (z * u),y \ (z * u)) = L(x,z * (y \ u),z * (y \ u)). [hyper(58,a,10490,a(flip),b,12831,a),flip(a)]. given #12158 (H,wt=25): 12833 L(x,(y * z) \ u,(y * z) \ u) = L(x,z * (u \ y),z * (u \ y)). [hyper(58,a,11708,a,b,12832,a)]. given #12159 (H,wt=29): 12835 x * L(x \ 1,y * (z \ u),y * (z \ u)) = a(x,z \ (y * u),z \ (y * u)). [hyper(114,a,12832,a(flip),b,1184,a(flip))]. given #12160 (H,wt=25): 12837 L(x \ 1,y * (x \ z),y * (x \ z)) = 1 / L(x,y * z,y * z). [hyper(29,a,5801,a(flip),b,12835,a),flip(a)]. given #12161 (H,wt=25): 12838 L(x,y * (x \ z),y * (x \ z)) \ 1 = 1 / L(x,y * z,y * z). [hyper(12463,a,12837,a)]. given #12162 (H,wt=31): 12834 L(x,y * ((z * (y * u)) \ z),y * ((z * (y * u)) \ z)) = L(x,L(u,y,z),L(u,y,z)). [hyper(58,a,12149,a(flip),b,12832,a),flip(a)]. given #12163 (H,wt=27): 12839 L(x,y * ((z * (y * u)) \ z),y / (y * u)) = L(x,L(u,y,z),L(u,y,z)). [hyper(58,a,9112,a(flip),b,12834,a)]. given #12164 (H,wt=27): 12841 L(x,y * ((z * (y * u)) \ z),y \ (u \ y)) = L(x,L(u,y,z),L(u,y,z)). [hyper(58,a,8975,a(flip),b,12839,a)]. given #12165 (H,wt=23): 12842 L(x,L(y,z,u),L(y,z,u)) = L(x,z / (z * y),z \ (y \ z)). [hyper(58,a,9998,a(flip),b,12841,a),flip(a)]. given #12166 (H,wt=23): 12844 L(x,L(y,z,u),L(y,z,u)) = L(x,z \ (y \ z),z \ (y \ z)). [hyper(272,a,9991,a(flip),b,12842,a),flip(a)]. given #12167 (H,wt=23): 12845 L(x,L(y,z,u),L(y,z,u)) = L(x,(z \ y) * z,(z \ y) * z). [hyper(272,a,10037,a(flip),b,12844,a),flip(a)]. given #12168 (H,wt=23): 12846 L(x,L(y,z,u),L(y,z,u)) = L(x,z * (y / z),(z \ y) * z). [para(2828(a,1),12845(a,2,2))]. given #12169 (H,wt=21): 12847 L(x,L(y,z,u),L(y,z,u)) = L(x,z * (y / z),T(y,z)). [hyper(272,a,8982,a(flip),b,12846,a),flip(a)]. given #12170 (H,wt=15): 12848 L(x,L(y,z,u),L(y,z,u)) = L(x,y,y). [hyper(272,a,9225,a(flip),b,12847,a),flip(a)]. given #12171 (H,wt=15): 12852 L(x,R(y,z,u),R(y,z,u)) = L(x,y,y). [hyper(58,a,12796,a,b,12848,a)]. given #12172 (H,wt=18): 12850 L(L(x,y,z) * u,x,x) = (L(x,y,z) \ 1) \ u. [hyper(2010,a,12848,a),flip(a)]. given #12173 (H,wt=18): 12853 L(x,y,z) * L(u,x,x) = (1 / L(x,y,z)) \ u. [hyper(114,a,12848,a(flip),b,1998,a)]. given #12174 (H,wt=18): 12854 (1 / L(x,y,z)) \ L(u,x,x) = L(x,y,z) * u. [hyper(112,a,12848,a(flip),b,3118,a)]. given #12175 (H,wt=18): 12860 (R(x,y,z) \ 1) * L(u,x,x) = R(x,y,z) \ u. [hyper(114,a,12852,a(flip),b,2013,a)]. given #12176 (H,wt=18): 12862 L(L(x,y,z) \ u,x,x) = (1 / L(x,y,z)) * u. [hyper(29,a,3122,a(flip),b,12853,a),flip(a)]. given #12177 (H,wt=19): 12865 (R(x * x,y,z) \ 1) * u = R(x * x,y,z) \ u. [para(4396(a,1),12860(a,1,2))]. given #12178 (H,wt=19): 12866 (1 / x) * (a(y,z,x) * u) = (1 / L(x,z,y)) * u. [hyper(58,a,12409,a(flip),b,12862,a)]. given #12179 (H,wt=19): 12867 x * (R(y * y,z,u) \ 1) = x / R(y * y,z,u). [hyper(29,a,1137,a,b,12865,a)]. given #12180 (H,wt=20): 12864 (x * L(x,y,z)) * L(u,x,x) = x * (L(x,y,z) * u). [para(12854(a,1),12075(a,1,2)),flip(a)]. given #12181 (H,wt=21): 12856 L(L(x,y,z) * u,x,x) != w | (L(x,y,z) \ 1) \ u = w. [para(12848(a,1),2010(a,1))]. given #12182 (H,wt=21): 12857 T(L(x,y,z) * u,L(x,y,z)) = L(u,x,x) * L(x,y,z). [para(12848(a,1),3120(a,1,1)),flip(a)]. given #12183 (H,wt=18): 12870 L(x,y,y) * L(y,z,u) = x / (L(y,z,u) \ 1). [hyper(2916,a,12857,a),flip(a)]. given #12184 (H,wt=21): 12861 (L(x,y,z) \ 1) \ (x * u) = L(x,y,z) * ((1 / x) \ u). [hyper(58,a,9129,a(flip),b,12850,a),flip(a)]. given #12185 (H,wt=21): 12863 (x \ 1) \ (L(x,y,z) * u) = x * ((1 / L(x,y,z)) \ u). [para(12853(a,1),7226(a,1,2)),flip(a)]. given #12186 (H,wt=21): 12872 (x / (L(y,z,u) \ 1)) / y = (x * L(y,z,u)) * (y \ 1). [para(12870(a,1),7501(a,1,1))]. given #12187 (H,wt=22): 12849 L(x * (L(x,y,z) * u),x,x) = (L(x,y,z) \ 1) \ (x * u). [hyper(2042,a,12848,a),flip(a)]. given #12188 (H,wt=21): 12873 (L(x,y,z) \ 1) \ (x * u) = (x \ 1) \ (L(x,y,z) * u). [hyper(2010,a,12849,a),flip(a)]. given #12189 (H,wt=21): 12874 (L(x,y,z) \ 1) \ (x * u) = x * ((1 / L(x,y,z)) \ u). [hyper(272,a,12863,a(flip),b,12873,a),flip(a)]. given #12190 (H,wt=21): 12875 L(x,y,z) * ((1 / x) \ u) = x * ((1 / L(x,y,z)) \ u). [hyper(58,a,12861,a(flip),b,12874,a)]. given #12191 (H,wt=21): 12876 x * ((1 / L(x,y,z)) \ ((1 / x) * u)) = L(x,y,z) * u. [hyper(507,a,12875,a),flip(a)]. given #12192 (H,wt=19): 12877 (x * L(x,y,z)) * ((1 / x) * u) = L(x,y,z) * u. [hyper(58,a,12075,a(flip),b,12876,a)]. given #12193 (H,wt=22): 12871 L(x,y,y) * L(1 / y,z,u) = x / (L(1 / y,z,u) \ 1). [para(4237(a,1),12870(a,1,1))]. given #12194 (H,wt=23): 12869 (1 / x) * (x * (L(x,y,z) * u)) = (L(x,y,z) * (u / x)) * x. [para(12864(a,1),6870(a,1,2))]. given #12195 (H,wt=20): 12880 (L(x,y,z) * (u / x)) * x = L(L(x,y,z) * u,x,x). [hyper(3119,a,12869,a),flip(a)]. given #12196 (H,wt=19): 12881 (L(x,y,z) * (u / x)) * x = (L(x,y,z) \ 1) \ u. [hyper(272,a,12850,a(flip),b,12880,a),flip(a)]. given #12197 (H,wt=23): 12882 (x * x) * (L(x,y,z) * (u / x)) = ((L(x,y,z) \ 1) \ u) * x. [para(12881(a,1),3252(a,1,1)),flip(a)]. given #12198 (H,wt=25): 12868 (1 / (x \ 1)) * (a(y,z,x \ 1) * u) = (1 / (x \ a(x,y,z))) * u. [para(1184(a,1),12866(a,2,1,2))]. given #12199 (H,wt=21): 12883 (1 / (x \ a(x,y,z))) * u = x * (a(y,z,x \ 1) * u). [hyper(296,a,12868,a),flip(a)]. given #12200 (H,wt=19): 12885 (1 / (x \ a(x,y,z))) * u = x * (a(x,y,z) \ u). [para(12367(a,1),12883(a,2,2))]. given #12201 (H,wt=17): 12886 (a(x,y,z) \ x) * u = x * (a(x,y,z) \ u). [para(10265(a,1),12885(a,1,1))]. given #12202 (H,wt=24): 12887 T(1 / x,L(y,z,u)) * (y * (a(y,z,u) \ x)) = a(y,z,u) \ y. [para(12886(a,1),11952(a,1,2))]. given #12203 (H,wt=25): 12878 L(x,y,z) * (u * ((x \ 1) \ 1)) = (x * L(x,y,z)) * (x * (u / x)). [para(4742(a,1),12877(a,1,2)),flip(a)]. given #12204 (H,wt=25): 12889 L(x,y,z) * (u * ((x \ 1) \ 1)) = (x * x) * (L(x,y,z) * (u / x)). [hyper(272,a,12092,a(flip),b,12878,a),flip(a)]. given #12205 (H,wt=23): 12890 L(x,y,z) * (u * ((x \ 1) \ 1)) = ((L(x,y,z) \ 1) \ u) * x. [hyper(272,a,12882,a(flip),b,12889,a),flip(a)]. given #12206 (H,wt=23): 12891 ((L(x,y,z) \ 1) \ (u \ 1)) * x = L(x,y,z) * ((x \ u) \ 1). [para(4021(a,1),12890(a,1,2)),flip(a)]. given #12207 (H,wt=19): 12892 L(x,y,z) * ((x \ u) \ 1) = (u / L(x,y,z)) \ x. [hyper(58,a,12543,a(flip),b,12891,a),flip(a)]. given #12208 (H,wt=19): 12893 a(x,y,z) \ ((u / z) \ z) = (u / L(z,y,x)) \ z. [hyper(58,a,12418,a,b,12892,a)]. given #12209 (H,wt=23): 12894 (a(x,y,z) / L(z,y,x)) \ z = (a(x,y,z) / z) \ L(z,y,x). [hyper(58,a,12535,a(flip),b,12892,a),flip(a)]. given #12210 (H,wt=23): 12895 T(L(x,y,z) * L(x,u,w),x) = (a(w,u,x) / L(x,y,z)) \ x. [hyper(58,a,12490,a(flip),b,12893,a)]. given #12211 (H,wt=23): 12896 T(L(x,y,z) * L(x,y,z),x) = (a(z,y,x) / x) \ L(x,y,z). [hyper(272,a,12894,a(flip),b,12895,a),flip(a)]. given #12212 (H,wt=23): 12897 T((a(x,y,z) / z) \ L(z,y,x),z) = L(z,y,x) * L(z,y,x). [hyper(2782,a,12896,a)]. given #12213 (H,wt=30): 12855 L(x,y \ (z * u),L((z \ y) \ u,z \ y,z)) = L(x,(z \ y) \ u,(z \ y) \ u). [para(437(a,1),12848(a,1,2))]. given #12214 (H,wt=25): 12898 L(x,(y \ z) \ u,(y \ z) \ u) = L(x,z \ (y * u),z \ (y * u)). [para(437(a,1),12855(a,1,3)),flip(a)]. given #12215 (H,wt=25): 12899 L(x,(y \ z) \ u,(y \ z) \ u) = L(x,y * (z \ u),y * (z \ u)). [hyper(272,a,12832,a(flip),b,12898,a),flip(a)]. given #12216 (H,wt=25): 12900 L(x,y \ (z \ u),y \ (z \ u)) = L(x,z * (u \ y),z * (u \ y)). [hyper(5196,a,12899,a)]. given #12217 (H,wt=25): 12901 L(x,(y \ z) * u,(y \ z) * u) = L(x,z * (y \ u),z * (y \ u)). [hyper(58,a,9993,a(flip),b,12899,a)]. given #12218 (H,wt=25): 12902 L(x,(y / z) * u,(y / z) * u) = L(x,y * (z \ u),y * (z \ u)). [hyper(58,a,11578,a,b,12901,a)]. given #12219 (H,wt=25): 12903 L(x,y * (x \ z),y * (x \ z)) = L(x,y * (z * x),y * (z * x)). [hyper(58,a,9945,a(flip),b,12901,a),flip(a)]. given #12220 (H,wt=25): 12907 L(x,(x * y) * z,(x * y) * z) = L(x,y * (z * x),y * (z * x)). [hyper(58,a,11649,a,b,12903,a)]. given #12221 (H,wt=31): 12836 (L(x,(y * x) * (z \ y),(y * x) * (z \ y)) \ 1) \ (y * y) = y * (y * L(x,z,z)). [para(12833(a,1),7531(a,1,1,1))]. given #12222 (H,wt=31): 12905 L(x,y * ((1 / z) \ u),y * ((1 / z) \ u)) = L(x,((1 / z) \ y) * u,(z * y) * u). [hyper(58,a,9043,a(flip),b,12901,a),flip(a)]. given #12223 (H,wt=29): 12909 L(x,y * ((1 / z) \ u),y * ((1 / z) \ u)) = L(x,(z * y) * u,(z * y) * u). [hyper(272,a,10057,a(flip),b,12905,a),flip(a)]. given #12224 (H,wt=27): 12910 L(x,y * ((1 / z) \ u),y * (z * u)) = L(x,(z * y) * u,(z * y) * u). [hyper(58,a,9053,a(flip),b,12909,a)]. given #12225 (H,wt=27): 12911 L(x,y * ((z / 1) * u),y * (z * u)) = L(x,(z * y) * u,(z * y) * u). [hyper(58,a,9976,a(flip),b,12910,a)]. given #12226 (H,wt=25): 12912 L(x,(y * z) * u,(y * z) * u) = L(x,z * (y * u),z * (y * u)). [para(70(a,1),12911(a,1,2,2,1)),flip(a)]. given #12227 (H,wt=25): 12913 L(x,y * (z * x),y * (z * x)) = L(x,y * (x * z),y * (x * z)). [hyper(58,a,12907,a(flip),b,12912,a)]. given #12228 (H,wt=24): 12914 L(x,y * (z * x),y * (z * x)) = T(x,y * (z * (x \ (y * z)))). [hyper(272,a,12133,a(flip),b,12913,a),flip(a)]. given #12229 (H,wt=24): 12915 L(x,y * (x \ z),y * (x \ z)) = T(x,y * (z * (x \ (y * z)))). [hyper(58,a,12903,a,b,12914,a)]. given #12230 (H,wt=24): 12916 T(x,y * (z * (x \ (y * z)))) \ 1 = 1 / L(x,y * z,y * z). [para(12915(a,1),12838(a,1,1))]. given #12231 (H,wt=31): 12908 (L(x,(y * x) * (z \ y),y * ((x / z) * y)) \ 1) \ (y * y) = y * (y * L(x,z,z)). [para(9081(a,1),12836(a,1,1,1))]. given #12232 (H,wt=31): 12917 (L(x,y * ((x / z) * y),y * ((x / z) * y)) \ 1) \ (y * y) = y * (y * L(x,z,z)). [para(10071(a,1),12908(a,1,1,1))]. given #12233 (H,wt=31): 12918 (L(x,y * ((z \ x) * y),y * ((z \ x) * y)) \ 1) \ (y * y) = y * (y * L(x,z,z)). [para(12138(a,1),12917(a,1,1,1))]. given #12234 (H,wt=33): 12906 L(x,(y \ (z * z)) * u,(y \ (z * z)) * u) = L(x,((y \ u) * z) * z,(z * z) * (y \ u)). [para(3252(a,2),12901(a,2,2))]. given #12235 (H,wt=33): 12919 L(x,(y \ (z * z)) * u,(z * (z / y)) * u) = L(x,((y \ u) * z) * z,(z * z) * (y \ u)). [hyper(58,a,9127,a(flip),b,12906,a)]. given #12236 (H,wt=33): 12920 L(x,((y \ z) * u) * u,(u * u) * (y \ z)) = L(x,(u * (u / y)) * z,(u * (u / y)) * z). [hyper(58,a,10028,a(flip),b,12919,a),flip(a)]. given #12237 (H,wt=33): 12921 L(x,((y \ z) * u) * u,(u * u) * (y \ z)) = L(x,(u / y) * (u * z),(u / y) * (u * z)). [hyper(272,a,12912,a(flip),b,12920,a),flip(a)]. given #12238 (H,wt=33): 12922 L(x,((y \ z) * u) * u,(u * u) * (y \ z)) = L(x,u * (y \ (u * z)),u * (y \ (u * z))). [hyper(272,a,12902,a(flip),b,12921,a),flip(a)]. given #12239 (H,wt=33): 12923 L(x,((y \ z) * u) * u,u * (u * (y \ z))) = L(x,u * (y \ (u * z)),u * (y \ (u * z))). [hyper(58,a,8932,a(flip),b,12922,a)]. given #12240 (H,wt=36): 12924 L(x,y * (z \ (y * u)),y * (z \ (y * u))) != w | L(x,y * (y * (z \ u)),y * (y * (z \ u))) = w. [para(12923(a,1),9263(a,1))]. given #12241 (H,wt=38): 12879 ((1 / x) \ L(y,x,x)) * ((1 / x) \ L(1 / x,z,u)) = (1 / x) \ ((y / (L(1 / x,z,u) \ 1)) / (1 / x)). [para(12871(a,1),1150(a,1,2,1)),flip(a)]. given #12242 (H,wt=38): 12925 ((1 / x) \ L(y,x,x)) * ((1 / x) \ L(1 / x,z,u)) = (1 / x) \ ((y * L(1 / x,z,u)) * ((1 / x) \ 1)). [para(12872(a,1),12879(a,2,2))]. given #12243 (H,wt=34): 12926 ((1 / x) \ L(y,x,x)) * ((1 / x) \ L(1 / x,z,u)) = (1 / x) \ ((y * L(1 / x,z,u)) * x). [para(74(a,1),12925(a,2,2,2))]. given #12244 (H,wt=34): 12927 ((1 / x) \ L(y,x,x)) * ((1 / x) \ L(1 / x,z,u)) = x * ((y * L(1 / x,z,u)) / (1 / x)). [hyper(272,a,3103,a(flip),b,12926,a),flip(a)]. given #12245 (H,wt=29): 12928 (x * y) * ((1 / x) \ L(1 / x,z,u)) = x * ((y * L(1 / x,z,u)) / (1 / x)). [para(2970(a,1),12927(a,1,1))]. given #12246 (H,wt=23): 12929 x * ((y * L(1 / x,z,u)) / (1 / x)) = (x * y) * a(x,u,z). [para(1180(a,2),12928(a,1,2)),flip(a)]. given #12247 (H,wt=23): 12930 x * (y * ((1 / x) \ L(1 / x,z,u))) = (x * y) * a(x,u,z). [para(12313(a,1),12929(a,1,2))]. given #12248 (H,wt=17): 12931 (x * y) * a(x,z,u) = x * (y * a(x,z,u)). [para(1180(a,2),12930(a,1,2,2)),flip(a)]. given #12249 (H,wt=9): 12934 R(x,y,a(x,z,u)) = x. [hyper(453,a,12931,a)]. given #12250 (H,wt=12): 12932 L(a(x,y,z),u,x) = a(x,y,z). [hyper(2469,a,12931,a)]. given #12251 (H,wt=12): 12938 a(x,y,L(z,u,x)) = a(x,y,z). [hyper(58,a,12536,a(flip),b,12932,a)]. given #12252 (H,wt=16): 12935 x * ((y * z) * a(x,y,z)) = (x * y) * z. [hyper(250,a,12931,a),flip(a)]. given #12253 (H,wt=16): 12943 x * (y * (z * a(x,y,z))) = (x * y) * z. [para(12502(a,1),12935(a,1,2))]. given #12254 (H,wt=17): 12933 x * ((x \ y) * a(x,z,u)) = y * a(x,z,u). [hyper(485,a,12931,a),flip(a)]. given #12255 (H,wt=17): 12939 (x * y) / a(x,z,u) = x * (y / a(x,z,u)). [para(12932(a,1),471(a,1,2))]. given #12256 (H,wt=17): 12940 a(x,y,(x \ z) \ u) = a(x,y,z \ (x * u)). [para(437(a,1),12938(a,1,3)),flip(a)]. given #12257 (H,wt=17): 12942 a(x,y,z) \ L(z,u,x) = L(L(z,u,x),y,x). [para(12938(a,1),12338(a,2,1)),flip(a)]. given #12258 (H,wt=17): 12945 (x * (y * a(y,z,u))) / y = x * a(y,z,u). [hyper(58,a,10321,a,b,12933,a)]. given #12259 (H,wt=17): 12947 (x * a(y,z,u)) * y = x * (y * a(y,z,u)). [hyper(125,a,12945,a)]. given #12260 (H,wt=17): 12948 (x * a(y,z,u)) * y = x * (a(y,z,u) * y). [para(1189(a,2),12947(a,2,2))]. given #12261 (H,wt=9): 12950 L(x,a(x,y,z),u) = x. [hyper(429,a,12948,a)]. given #12262 (H,wt=17): 12949 (x * y) / (a(y,z,u) * y) = x / a(y,z,u). [hyper(531,a,12948,a)]. given #12263 (H,wt=19): 12946 L(x,y,z) * L(x,u,z) = x * L(L(x,u,z),y,z). [para(12942(a,1),12416(a,1,2)),flip(a)]. given #12264 (H,wt=21): 12941 a(x \ 1,y,(z \ u) / x) = a(x \ 1,y,z \ (u / x)). [para(6210(a,1),12938(a,1,3))]. given #12265 (H,wt=23): 12937 (L(x,y,z) * u) * a(x,w,v5) = L(x,y,z) * (u * a(x,w,v5)). [para(12934(a,1),451(a,1,1,1)),flip(a)]. given #12266 (H,wt=26): 12944 ((x * y) * z) \ ((x * y) * (z * a(x,y,z))) = a(x,y,z * a(x,y,z)). [para(12943(a,1),9(a,2,1)),flip(a)]. given #12267 (H,wt=19): 12951 a(x,y,z * a(x,y,z)) = L(a(x,y,z),z,x * y). [hyper(430,a,12944,a),flip(a)]. given #12268 (H,wt=14): 12952 a(x,y,z * a(x,y,z)) = a(x,y,z). [hyper(272,a,12534,a(flip),b,12951,a),flip(a)]. given #12269 (H,wt=27): 12936 (x * (y * a(x,z,T(u,y)))) / T(x * a(x,z,u),y) = L(y,x,a(x,z,u)). [para(12931(a,1),12542(a,1,1))]. given #12270 (H,wt=25): 12954 (x * (a(x,y,z) * u)) / T(x * a(x,y,z),u) = L(u,x,a(x,y,z)). [para(12385(a,1),12936(a,1,1,2))]. given #12271 (H,wt=15): 12956 L(x,a(y,z,u),y) = L(x,y,a(y,z,u)). [hyper(8266,a,12954,a)]. given #12272 (H,wt=17): 12955 a(x,y,z) * (x * u) = x * (a(x,y,z) * u). [hyper(8816,a,12954,a)]. given #12273 (H,wt=17): 12958 a(x,y,z) \ (x * u) = x * (a(x,y,z) \ u). [hyper(112,a,137,a(flip),b,12955,a)]. given #12274 (H,wt=17): 12959 x \ (a(x,y,z) \ (x * u)) = a(x,y,z) \ u. [hyper(112,a,12958,a,b,xx)]. given #12275 (H,wt=20): 12960 x \ (a(x,y,z) \ (x * u)) != w | a(x,y,z) \ u = w. [para(12958(a,2),287(a,1,2))]. given #12276 (H,wt=23): 12957 (x * a(x,y,z)) * L(u,x,a(x,y,z)) = x * (a(x,y,z) * u). [hyper(114,a,12956,a(flip),b,13,a(flip))]. given #12277 (H,wt=9): 12962 L(x,y,a(y,z,u)) = x. [hyper(12560,a,12957,a),flip(a)]. given #12278 (H,wt=16): 12963 ((x * y) * z) / (y * z) = a(x,y,z) * x. [para(12962(a,1),10572(a,1,2))]. given #12279 (H,wt=11): 12964 R(x,y,z) = a(x,y,z) * x. [hyper(457,a,12963,a)]. given #12280 (H,wt=11): 12967 a(x,y,z) = x \ R(x,y,z). [hyper(1685,a,12964,a),flip(a)]. given #12281 (H,wt=11): 12970 R(x,y,z) = x * a(x,y,z). [hyper(272,a,1189,a(flip),b,12964,a),flip(a)]. given #12282 (H,wt=13): 12969 R(x,y,z \ 1) = a(z,x,y) \ x. [hyper(272,a,12367,a(flip),b,12964,a),flip(a)]. given #12283 (H,wt=13): 12991 R(x,y,z) \ x = a(x,y,z) \ 1. [para(12970(a,2),10816(a,1,1))]. given #12284 (H,wt=13): 12992 a(x \ 1,y,z) = R(y,z,x) \ y. [para(12970(a,2),12342(a,1,1)),flip(a)]. given #12285 (H,wt=14): 12965 a(x,y,z) * x != u | R(x,y,z) = u. [para(12963(a,1),457(a,1))]. given #12286 (H,wt=14): 12984 a(x,y,z) != x \ u | R(x,y,z) = u. [para(12967(a,2),42(a,1))]. given #12287 (H,wt=14): 12985 x * a(x,y,z) != u | R(x,y,z) = u. [para(12967(a,2),230(a,1,2))]. given #12288 (H,wt=14): 12989 R(x,y,z) != x * u | a(x,y,z) = u. [para(12970(a,2),38(a,1))]. given #12289 (H,wt=14): 12990 x \ R(x,y,z) != u | a(x,y,z) = u. [para(12970(a,2),287(a,1,2))]. given #12290 (H,wt=15): 12971 x * (a(x,y,z) * u) = R(x,y,z) * u. [para(12964(a,2),12558(a,1,1)),flip(a)]. given #12291 (H,wt=15): 12972 (x * y) / R(y,z,u) = x / a(y,z,u). [para(12964(a,2),12949(a,1,2))]. given #12292 (H,wt=15): 12976 a(x,y,(x \ z) \ x) = a(y,z \ 1,x). [hyper(272,a,12440,a,b,12967,a)]. given #12293 (H,wt=15): 12981 x * a(x,y,T(z,u)) = R(x,T(y,u),z). [hyper(114,a,12373,a(flip),b,12967,a(flip))]. given #12294 (H,wt=13): 13007 R(x,T(y,z),u) = R(x,y,T(u,z)). [hyper(12985,a,12981,a),flip(a)]. given #12295 (H,wt=15): 12988 x \ a(x \ 1,y,z) = R(x \ 1,y,z). [hyper(272,a,10250,a(flip),b,12970,a)]. given #12296 (H,wt=15): 12993 (x * R(y,z,u)) / y = x * a(y,z,u). [para(12970(a,2),12945(a,1,1,2))]. given #12297 (H,wt=15): 12995 x * (R(y,z,u) \ y) = x / a(y,z,u). [para(12991(a,2),10818(a,1,2))]. given #12298 (H,wt=15): 12996 R(x,y,z \ u) \ x = a(u \ z,x,y). [hyper(58,a,10386,a(flip),b,12992,a),flip(a)]. given #12299 (H,wt=15): 13001 R(x,y,z) \ (x * u) = a(x,y,z) \ u. [hyper(518,a,12971,a)]. given #12300 (H,wt=15): 13002 a(x,y,z) \ (x \ u) = R(x,y,z) \ u. [hyper(517,a,12971,a),flip(a)]. given #12301 (H,wt=15): 13003 a(x,y,z) * (R(x,y,z) \ u) = x \ u. [hyper(112,a,5,a(flip),b,12971,a),flip(a)]. given #12302 (H,wt=15): 13004 a(x,y,z) * (x * u) = R(x,y,z) * u. [hyper(58,a,12955,a,b,12971,a)]. given #12303 (H,wt=15): 13006 a(x,y,(z \ x) * x) = a(y,z \ 1,x). [hyper(58,a,10014,a(flip),b,12976,a)]. given #12304 (H,wt=15): 13010 R(x,y * (z / y),u) = R(x,z,T(u,y)). [hyper(58,a,9359,a,b,13007,a)]. given #12305 (H,wt=15): 13012 R(x,y \ z,T(u,y)) = R(x,z / y,u). [para(2775(a,1),13007(a,1,2)),flip(a)]. given #12306 (H,wt=15): 13016 x \ ((x * R(y,z,u)) / y) = a(y,z,u). [hyper(112,a,12993,a,b,xx)]. given #12307 (H,wt=15): 13018 x * (R(x,y,z) \ u) = a(x,y,z) \ u. [hyper(58,a,1092,a(flip),b,13001,a)]. given #12308 (H,wt=15): 13025 a(x,y,x * (z \ x)) = a(y,z \ 1,x). [hyper(58,a,12378,a(flip),b,13006,a)]. given #12309 (H,wt=15): 13026 R(x,y * z,T(u,z)) = R(x,z * y,u). [para(6(a,1),13010(a,1,2,2)),flip(a)]. given #12310 (H,wt=15): 13027 R(x,y * z,T(u,y)) = R(x,z * y,u). [para(2806(a,1),13010(a,1,2)),flip(a)]. given #12311 (H,wt=16): 12998 a(x,y,z) \ y != u | R(y,z,x \ 1) = u. [para(12367(a,1),12965(a,1))]. given #12312 (H,wt=16): 13000 T(x,a(y,z,u)) != w | R(x,z,K(u,y)) = w. [para(10586(a,1),12985(a,1))]. given #12313 (H,wt=16): 13008 R(x,T(y,z),u) != w | R(x,y,T(u,z)) = w. [para(12981(a,1),12985(a,1))]. given #12314 (H,wt=16): 13036 L(x,y,K(z,u)) != w | R(x,y,K(z,u)) = w. [para(10697(a,2),13000(a,1))]. given #12315 (H,wt=17): 12968 a(x \ (y \ 1),z,u) \ z = R(z,u,y * x). [hyper(272,a,12349,a,b,12964,a)]. given #12316 (H,wt=17): 13017 a((x \ 1) \ y,z,y) = L(z,y \ x,y) \ z. [para(8884(a,1),12996(a,1,1)),flip(a)]. given #12317 (H,wt=15): 13039 L(x,y \ z,y) \ x = a(z * y,x,y). [hyper(58,a,10335,a(flip),b,13017,a),flip(a)]. given #12318 (H,wt=13): 13040 a(x * y,z,y) = a(y,y \ x,z). [hyper(12330,a,13039,a),flip(a)]. given #12319 (H,wt=16): 13041 a(x * y,z,y) != u | a(y,y \ x,z) = u. [para(13039(a,1),12330(a,1))]. given #12320 (H,wt=17): 13032 R(x,y,z) \ (x \ u) = x \ (R(x,y,z) \ u). [hyper(112,a,13002,a(flip),b,13018,a),flip(a)]. given #12321 (H,wt=17): 13034 R(x,y * z,u * z) = R(x,z * y,z * u). [hyper(58,a,8745,a(flip),b,13026,a)]. given #12322 (H,wt=18): 13005 x \ (R(x,y,z) * u) != w | a(x,y,z) * u = w. [para(12971(a,1),287(a,1,2))]. given #12323 (H,wt=18): 13037 R(x,T(y,z),u) != w | R(x,T(y,z),T(u,y)) = w. [para(158(a,1),13008(a,1,2))]. given #12324 (H,wt=18): 13038 R(x,y * (z / y),u) != w | R(x,z,T(u,y)) = w. [para(9359(a,2),13008(a,1))]. given #12325 (H,wt=19): 12974 x * a(x,(y / z) * u,w) = R(x,(z / y) \ u,w). [hyper(9120,a,12967,a)]. given #12326 (H,wt=17): 13044 R(x,(y / z) \ u,w) = R(x,(z / y) * u,w). [hyper(12985,a,12974,a),flip(a)]. given #12327 (H,wt=19): 12975 x * a(x,(y \ z) * u,w) = R(x,(z \ y) \ u,w). [hyper(9118,a,12967,a)]. given #12328 (H,wt=17): 13047 R(x,(y \ z) \ u,w) = R(x,(z \ y) * u,w). [hyper(12985,a,12975,a),flip(a)]. given #12329 (H,wt=19): 12977 L(x,y,z) \ R(x,u,w) = a(z,y,x) * a(x,u,w). [hyper(114,a,12967,a,b,12366,a),flip(a)]. given #12330 (H,wt=19): 12980 R(x * x,y,T(z,u)) = (x * x) * a(x * x,y,z). [hyper(114,a,12452,a(flip),b,12967,a(flip)),flip(a)]. given #12331 (H,wt=18): 13049 R(x * x,y,T(z,u)) != w | R(x * x,y,z) = w. [para(12980(a,2),12985(a,1))]. given #12332 (H,wt=19): 12982 x * a(x,y,(z / u) * w) = R(x,y,(u / z) \ w). [hyper(114,a,10015,a(flip),b,12967,a(flip))]. given #12333 (H,wt=17): 13050 R(x,y,(z / u) \ w) = R(x,y,(u / z) * w). [hyper(12985,a,12982,a),flip(a)]. given #12334 (H,wt=19): 12983 x * a(x,y,(z \ u) * w) = R(x,y,(u \ z) \ w). [hyper(114,a,10014,a(flip),b,12967,a(flip))]. given #12335 (H,wt=19): 13021 a(x,y,z) \ a(x,u,w) = R(x,y,z) \ R(x,u,w). [para(12970(a,2),13001(a,1,2)),flip(a)]. given #12336 (H,wt=19): 13024 a(x,y,z) * R(x,u,w) = R(x,y,z) * a(x,u,w). [para(12970(a,2),13004(a,1,2))]. given #12337 (H,wt=19): 13028 R(x,y \ z,T(u,y)) = R(x,z / ((y \ 1) \ 1),u). [hyper(272,a,2480,a,b,13012,a),flip(a)]. given #12338 (H,wt=19): 13029 R(x,y \ z,1 / (y \ u)) = R(x,z / y,y / u). [para(3063(a,1),13012(a,1,3))]. given #12339 (H,wt=19): 13059 R(x,y \ z,(y \ u) \ 1) = R(x,z / y,y / u). [hyper(5329,a,13029,a)]. given #12340 (H,wt=20): 12999 a(x \ (y \ 1),z,u) \ z != w | R(z,u,y * x) = w. [para(12349(a,2),12965(a,1))]. given #12341 (H,wt=20): 13020 T(a(x,y,z) \ u,R(x,y,z)) = (x * u) / R(x,y,z). [para(13001(a,1),2775(a,1,1))]. given #12342 (H,wt=20): 13045 R(x,(y / z) \ u,w) != v5 | R(x,(z / y) * u,w) = v5. [para(12974(a,1),12985(a,1))]. given #12343 (H,wt=20): 13048 R(x,(y \ z) \ u,w) != v5 | R(x,(z \ y) * u,w) = v5. [para(12975(a,1),12985(a,1))]. given #12344 (H,wt=20): 13057 R(x,y,(z \ u) \ w) != v5 | R(x,y,(u \ z) * w) = v5. [para(12983(a,1),12985(a,1))]. given #12345 (H,wt=19): 13061 R(x,y \ z,(u \ y) * 1) = R(x,z / y,y / u). [hyper(13057,a,13059,a)]. given #12346 (H,wt=17): 13063 R(x,y / z,z / u) = R(x,z \ y,u \ z). [para(3(a,1),13061(a,1,3)),flip(a)]. given #12347 (H,wt=17): 13065 R(x,y \ 1,y / z) = R(x,y \ 1,z \ y). [hyper(58,a,2476,a(flip),b,13063,a)]. given #12348 (H,wt=17): 13066 R(x,y \ 1,y / z) = L(x,y * z,y \ 1). [hyper(272,a,12745,a(flip),b,13065,a),flip(a)]. given #12349 (H,wt=19): 13064 R(x,y \ (z * z),z \ y) = L(x,z \ y,y \ 1). [hyper(58,a,12521,a(flip),b,13063,a),flip(a)]. given #12350 (H,wt=19): 13068 R(x,y * (y / z),y \ z) = L(x,y \ z,z \ 1). [hyper(58,a,10439,a(flip),b,13064,a)]. given #12351 (H,wt=20): 13060 T(a(x,y,z) \ u,L(x,y,z)) = (x * u) / R(x,y,z). [hyper(10620,a,13020,a)]. given #12352 (H,wt=21): 13015 x \ (x \ (y * R(x * x,z,u))) = y * a(x * x,z,u). [hyper(3062,a,12993,a)]. given #12353 (H,wt=21): 13019 a(x,y,z) \ a(x \ 1,u,w) = R(x,y,z) \ L(x,w,u). [para(1183(a,2),13001(a,1,2)),flip(a)]. given #12354 (H,wt=21): 13033 a(x \ 1,y,((z * x) \ 1) / x) = a(y,z \ 1,x \ 1). [para(5111(a,1),13025(a,1,3))]. given #12355 (H,wt=21): 13054 R(x,y,(T(z \ 1,u) / u) * w) = R(x,y,(z * u) \ w). [para(2241(a,1),13050(a,1,3,1)),flip(a)]. given #12356 (H,wt=19): 13072 R(x,y,(z \ (u \ 1)) * w) = R(x,y,(u * z) \ w). [hyper(58,a,8767,a(flip),b,13054,a)]. given #12357 (H,wt=21): 13069 (x * ((y / x) \ 1)) / R(x,z,u) = y \ (a(x,z,u) \ x). [hyper(58,a,12102,a(flip),b,13060,a),flip(a)]. given #12358 (H,wt=19): 13073 ((x \ y) * y) / R(y,z,u) = x \ (a(y,z,u) \ y). [para(2852(a,1),13069(a,1,1))]. given #12359 (H,wt=17): 13074 (x \ y) / a(y,z,u) = x \ (a(y,z,u) \ y). [hyper(58,a,12972,a(flip),b,13073,a)]. given #12360 (H,wt=21): 13070 a(x,y,z) \ (1 / a(u,w,x)) = R(x,y,z) \ L(x,w,u). [para(12339(a,1),13019(a,1,2))]. given #12361 (H,wt=22): 13023 a(x,y,z) \ (x \ u) != w * v5 | w \ (R(x,y,z) \ u) = v5. [para(13003(a,1),285(a,1,2))]. given #12362 (H,wt=22): 13031 x * a(y,z,u) != w * v5 | w \ ((x * R(y,z,u)) / y) = v5. [para(13016(a,1),341(a,1,2))]. given #12363 (H,wt=23): 12973 x * a(x,y,z * ((u \ w) * v5)) = R(x,y,z * ((w \ u) \ v5)). [hyper(10036,a,12967,a)]. given #12364 (H,wt=21): 13075 R(x,y,z * ((u \ w) \ v5)) = R(x,y,z * ((w \ u) * v5)). [hyper(12985,a,12973,a),flip(a)]. given #12365 (H,wt=19): 13076 R(x,y,z * ((u \ w) \ 1)) = R(x,y,z * (w \ u)). [para(3(a,1),13075(a,2,3,2))]. given #12366 (H,wt=17): 13077 R(x,y,z / (u \ w)) = R(x,y,z * (w \ u)). [hyper(58,a,8753,a(flip),b,13076,a)]. given #12367 (H,wt=21): 13078 R(x,y,z * T(1 / u,w)) = R(x,y,z * (w \ (u \ w))). [para(3492(a,1),13076(a,1,3,2))]. given #12368 (H,wt=21): 13080 R(x,y,z * (u / (w \ 1))) = R(x,y,z * ((1 / u) \ w)). [hyper(58,a,8776,a(flip),b,13077,a)]. given #12369 (H,wt=23): 13042 (x \ y) \ (x \ (R(x,z,u) \ y)) = R(T(x,x \ y),z,u) \ 1. [para(13032(a,1),3040(a,2,2)),flip(a)]. given #12370 (H,wt=23): 13051 R(x,y,((z \ 1) * (1 / u)) * w) = R(x,y,((1 / z) / u) * w). [hyper(58,a,8758,a,b,13050,a)]. given #12371 (H,wt=23): 13055 R(x,y,((T(z,u) \ 1) / u) * w) = R(x,y,((1 / z) \ u) \ w). [para(3482(a,1),13050(a,1,3,1)),flip(a)]. given #12372 (H,wt=23): 13062 R(x,(y \ 1) \ 1,(y \ z) * 1) = L(x,y \ z,z \ (z \ y)). [hyper(13057,a,11300,a)]. given #12373 (H,wt=21): 13083 R(x,(y \ 1) \ 1,y \ z) = L(x,y \ z,z \ (z \ y)). [para(3(a,1),13062(a,1,3))]. given #12374 (H,wt=17): 13084 L(x,y \ z,z \ (z \ y)) = R(x,y,y \ z). [hyper(58,a,2477,a(flip),b,13083,a),flip(a)]. given #12375 (H,wt=23): 13071 a(x \ 1,y,((z / x) \ x) \ 1) = a(y,(z \ 1) \ 1,x \ 1). [para(5113(a,1),13033(a,1,3))]. given #12376 (H,wt=21): 13085 a(x \ 1,y,x \ (x \ z)) = a(y,(z \ 1) \ 1,x \ 1). [hyper(58,a,12515,a(flip),b,13071,a)]. given #12377 (H,wt=17): 13086 a(x \ 1,y,x \ (x \ z)) = a(z \ 1,x,y). [hyper(272,a,12401,a(flip),b,13085,a),flip(a)]. given #12378 (H,wt=17): 13087 a(x \ 1,y,x \ (z / x)) = a(z \ 1,x,y). [hyper(58,a,12517,a,b,13086,a)]. given #12379 (H,wt=23): 13079 R(x,y,z * (1 \ T(u \ 1,w))) = R(x,y,z * T(1 / u,w)). [para(5438(a,1),13076(a,1,3,2)),flip(a)]. given #12380 (H,wt=21): 13088 R(x,y,z * T(1 / u,w)) = R(x,y,z * T(u \ 1,w)). [para(60(a,1),13079(a,1,3,2)),flip(a)]. given #12381 (H,wt=21): 13089 R(x,y,z * T(u \ 1,w)) = R(x,y,z * (w \ (u \ w))). [hyper(58,a,13078,a(flip),b,13088,a),flip(a)]. given #12382 (H,wt=19): 13090 R(x,y,z * T(u \ 1,w)) = R(x,y,z / T(u,w)). [hyper(272,a,8759,a(flip),b,13089,a),flip(a)]. given #12383 (H,wt=21): 13091 R(x,y,(z \ 1) / T(u,w)) = R(x,y,z \ T(u \ 1,w)). [hyper(58,a,8768,a(flip),b,13090,a),flip(a)]. given #12384 (H,wt=21): 13092 R(x,y,z \ T(u \ 1,w)) = R(x,y,z \ (T(u,w) \ 1)). [hyper(58,a,8770,a(flip),b,13091,a),flip(a)]. given #12385 (H,wt=23): 13081 R(x,y,((z \ 1) * (1 / u)) * w) = R(x,y,(z \ (u \ 1)) * w). [hyper(272,a,8771,a(flip),b,13051,a),flip(a)]. given #12386 (H,wt=21): 13093 R(x,y,((z \ 1) * (1 / u)) * w) = R(x,y,(u * z) \ w). [hyper(272,a,13072,a(flip),b,13081,a),flip(a)]. given #12387 (H,wt=24): 12961 x * (a(x,y,z) \ u) != w * v5 | w \ (a(x,y,z) \ (x * u)) = v5. [para(12959(a,1),341(a,1,2))]. given #12388 (H,wt=24): 13022 a(x * x,y,z) \ (x \ (x \ u)) = R(x * x,y,z) \ L(u,x,x). [para(3524(a,1),13002(a,1,2))]. given #12389 (H,wt=23): 13094 a(x * x,y,z) \ (x \ (x \ u)) = u * (R(x * x,y,z) \ 1). [hyper(272,a,12199,a(flip),b,13022,a),flip(a)]. given #12390 (H,wt=21): 13095 a(x * x,y,z) \ (x \ (x \ u)) = u / R(x * x,y,z). [hyper(272,a,12867,a(flip),b,13094,a),flip(a)]. given #12391 (H,wt=25): 13014 x * (x * (y * R(x \ (x \ 1),z,u))) = y * a(x \ (x \ 1),z,u). [hyper(4399,a,12993,a)]. given #12392 (H,wt=23): 13096 x * (x * (y * R(x \ (x \ 1),z,u))) = y / a(z,u,x * x). [hyper(272,a,12370,a(flip),b,13014,a),flip(a)]. given #12393 (H,wt=23): 13097 x * (x * (y * R(x \ (x \ 1),z,u))) = a(z,u,x * x) \ y. [hyper(272,a,12192,a(flip),b,13096,a),flip(a)]. given #12394 (H,wt=25): 13046 R(x,(y / 1) * y,y \ (y \ z)) = L(x,y \ (z \ (y \ 1)),y * y). [hyper(58,a,12541,a(flip),b,13044,a),flip(a)]. given #12395 (H,wt=23): 13099 L(x,y \ (z \ (y \ 1)),y * y) = R(x,y * y,y \ (y \ z)). [para(70(a,1),13046(a,1,2,1)),flip(a)]. given #12396 (H,wt=25): 13056 R(x,y,((1 / z) \ (1 / u)) \ w) = R(x,y,((u * (z \ 1)) / 1) * w). [para(4096(a,1),13050(a,1,3,1))]. given #12397 (H,wt=25): 13058 R(x,y / (((z \ u) \ 1) \ 1),w) = R(x,(u \ z) * y,T(w,z \ u)). [hyper(58,a,13047,a(flip),b,13028,a),flip(a)]. given #12398 (H,wt=25): 13100 R(x,y,((z * (u \ 1)) / 1) * w) = R(x,y,((1 / z) \ (1 / u)) * w). [hyper(13057,a,13056,a),flip(a)]. given #12399 (H,wt=26): 13082 R(x,y,((T(z,u) \ 1) / u) * w) != v5 | R(x,y,(u \ (1 / z)) * w) = v5. [para(13055(a,2),13057(a,1))]. given #12400 (H,wt=26): 13098 x * (x * (y * R(x \ (x \ 1),z,u))) != w | a(z,u,x * x) \ y = w. [para(13096(a,2),12196(a,1))]. given #12401 (H,wt=27): 12997 x / (R(x,y,z) / a(z \ 1,x,y)) = (R(x,y,z) \ x) * (R(x,y,z) \ x). [para(12992(a,2),3272(a,1,2,2))]. given #12402 (H,wt=25): 13101 (R(x,y,z) \ x) * (R(x,y,z) \ x) = x / (R(x,y,z) * a(x,y,z)). [para(12343(a,1),12997(a,1,2)),flip(a)]. given #12403 (H,wt=25): 13102 (R(x,y,z) \ x) * (R(x,y,z) \ x) = x / (a(x,y,z) * R(x,y,z)). [para(1191(a,1),13101(a,2,2))]. given #12404 (H,wt=23): 13103 (R(x,y,z) \ x) / a(x,y,z) = x / (a(x,y,z) * R(x,y,z)). [hyper(58,a,12995,a(flip),b,13102,a)]. given #12405 (H,wt=23): 13104 x / (a(x,y,z) * R(x,y,z)) = R(x,y,z) \ (a(x,y,z) \ x). [hyper(58,a,13074,a(flip),b,13103,a),flip(a)]. given #12406 (H,wt=29): 13030 R(x,((y \ z) \ 1) \ u,T(w,(y \ z) \ 1)) = R(x,(y \ z) * T(u,z \ y),w). [para(4463(a,2),13012(a,2,2))]. given #12407 (H,wt=27): 13105 R(x,((y \ z) \ 1) \ u,T(w,z \ y)) = R(x,(y \ z) * T(u,z \ y),w). [para(4459(a,1),13030(a,1,3))]. given #12408 (H,wt=25): 13106 R(x,(y \ z) * T(u,z \ y),w) = R(x,(y \ z) * u,T(w,z \ y)). [hyper(58,a,9351,a(flip),b,13105,a),flip(a)]. given #12409 (H,wt=23): 13107 R(x,(y \ z) * u,T(w,z \ y)) = R(x,u / ((y \ z) \ 1),w). [para(4463(a,1),13106(a,1,2)),flip(a)]. given #12410 (H,wt=21): 13108 R(x,(y \ z) * u,T(w,z \ y)) = R(x,u * (y \ z),w). [hyper(272,a,9357,a(flip),b,13107,a),flip(a)]. given #12411 (H,wt=21): 13109 R(x,y / (((z \ u) \ 1) \ 1),w) = R(x,y * (u \ z),w). [hyper(58,a,13058,a,b,13108,a)]. given #12412 (H,wt=17): 13110 R(x,y / (z \ u),w) = R(x,y * (u \ z),w). [hyper(58,a,2480,a(flip),b,13109,a)]. given #12413 (H,wt=19): 13111 R(x,y * (1 / (z \ u)),w) = R(x,y * (u \ z),w). [hyper(58,a,9355,a,b,13110,a)]. given #12414 (H,wt=21): 13112 R(x,y * T(z \ 1,u),w) = R(x,y * (u \ (z \ u)),w). [para(3426(a,1),13111(a,1,2,2))]. given #12415 (H,wt=19): 13113 R(x,y * T(z \ 1,u),w) = R(x,y / T(z,u),w). [hyper(272,a,9356,a(flip),b,13112,a),flip(a)]. given #12416 (H,wt=21): 13114 R(x,(y \ 1) / T(z,u),w) = R(x,y \ T(1 / z,u),w). [hyper(58,a,10399,a(flip),b,13113,a),flip(a)]. given #12417 (H,wt=21): 13115 R(x,y \ T(1 / z,u),w) = R(x,y \ (T(z,u) \ 1),w). [hyper(58,a,10427,a(flip),b,13114,a),flip(a)]. given #12418 (H,wt=29): 13052 R(x,y * (z / y),(y / 1) * (z \ 1)) = L(x,(1 / y) * (z \ 1),y * (z / y)). [hyper(58,a,9938,a(flip),b,13050,a),flip(a)]. given #12419 (H,wt=27): 13116 L(x,(1 / y) * (z \ 1),y * (z / y)) = R(x,y * (z / y),y * (z \ 1)). [para(70(a,1),13052(a,1,3,1)),flip(a)]. given #12420 (H,wt=25): 13117 L(x,(1 / y) * (z \ 1),y * (z / y)) = R(x,y * (z / y),y / z). [hyper(272,a,8753,a(flip),b,13116,a),flip(a)]. given #12421 (H,wt=23): 13118 L(x,(1 / y) * (z \ 1),y * (z / y)) = R(x,z,T(y / z,y)). [hyper(272,a,13010,a(flip),b,13117,a),flip(a)]. given #12422 (H,wt=23): 13119 L(x,(1 / y) * (z \ 1),y * (z / y)) = R(x,z,T(z \ y,y)). [hyper(272,a,8097,a(flip),b,13118,a),flip(a)]. given #12423 (H,wt=21): 13120 L(x,(1 / y) * (z \ 1),y * (z / y)) = R(x,z,y / z). [hyper(272,a,10420,a(flip),b,13119,a),flip(a)]. given #12424 (H,wt=21): 13121 L(x,(1 / y) * (z \ 1),y * (z / y)) = R(x,z,z \ y). [hyper(272,a,8096,a(flip),b,13120,a),flip(a)]. given #12425 (H,wt=19): 13122 L(x,(1 / y) * (z \ 1),T(z,y)) = R(x,z,z \ y). [hyper(58,a,8984,a(flip),b,13121,a)]. given #12426 (H,wt=17): 13123 L(x,(1 / y) / z,T(z,y)) = R(x,z,z \ y). [hyper(58,a,9197,a(flip),b,13122,a)]. given #12427 (H,wt=17): 13124 L(x,y \ (1 / z),T(y,z)) = R(x,y,y \ z). [hyper(58,a,11680,a(flip),b,13123,a)]. given #12428 (H,wt=17): 13125 L(x,y \ (z \ 1),T(y,z)) = R(x,y,y \ z). [hyper(10491,a,13124,a)]. given #12429 (H,wt=15): 13126 L(x,y \ (z \ 1),z) = R(x,z,z \ y). [hyper(58,a,12481,a(flip),b,13125,a)]. given #12430 (H,wt=31): 12994 a(x,y,z) \ (y * (u / (a(x,y,z) \ 1))) = (R(y,z,x \ 1) * u) / (a(x,y,z) \ 1). [para(12969(a,2),6939(a,1,1,1)),flip(a)]. given #12431 (H,wt=29): 13127 a(x,y,z) \ (y * (u / (a(x,y,z) \ 1))) = (R(y,z,x \ 1) * u) * a(x,y,z). [hyper(272,a,10821,a(flip),b,12994,a),flip(a)]. given #12432 (H,wt=27): 13128 a(x,y,z) \ (y * (u * a(x,y,z))) = (R(y,z,x \ 1) * u) * a(x,y,z). [para(10821(a,1),13127(a,1,2,2))]. given #12433 (H,wt=27): 13129 (R(x,y,z \ 1) * u) * a(z,x,y) = x * (a(z,x,y) \ (u * a(z,x,y))). [hyper(58,a,12594,a(flip),b,13128,a),flip(a)]. given #12434 (H,wt=22): 13130 (R(x,y,z \ 1) * u) * a(z,x,y) = x * T(u,a(z,x,y)). [para(17(a,2),13129(a,2,2))]. given #12435 (H,wt=22): 13131 (R(x,y,z \ 1) * u) * a(z,x,y) = x * L(u,y,K(z,x)). [para(10711(a,2),13130(a,2,2))]. given #12436 (H,wt=22): 13132 (R(x,y,z \ 1) * u) * a(z,x,y) = x * L(u,y,K(x,z)). [para(28(a,1),13131(a,2,2,3))]. given #12437 (H,wt=33): 13013 x \ (x \ ((x * (x * y)) * a((x * x) \ 1,z,u))) = x * (x * (y * R((x * x) \ 1,z,u))). [para(12988(a,1),7629(a,2,2,2,2))]. given #12438 (H,wt=31): 13133 x \ (x \ ((x * (x * y)) / a(z,u,x * x))) = x * (x * (y * R((x * x) \ 1,z,u))). [para(12360(a,1),13013(a,1,2,2))]. given #12439 (H,wt=31): 13134 x \ (x \ (a(y,z,x * x) \ (x * (x * u)))) = x * (x * (u * R((x * x) \ 1,y,z))). [para(12192(a,1),13133(a,1,2,2))]. given #12440 (H,wt=30): 13135 x \ (x \ (L(x * x,y,z) * L(u,x,x))) = x * (x * (u * R((x * x) \ 1,z,y))). [para(12417(a,1),13134(a,1,2,2))]. given #12441 (H,wt=27): 13136 x * (x * (y * R((x * x) \ 1,z,u))) = x \ (x \ (y * L(x * x,u,z))). [para(12198(a,1),13135(a,1,2,2)),flip(a)]. given #12442 (H,wt=27): 13137 x * (x * (y * R(x \ (x \ 1),z,u))) = x \ (x \ (y * L(x * x,u,z))). [para(3080(a,1),13136(a,1,2,2,2,1))]. given #12443 (H,wt=21): 13138 x \ (x \ (y * L(x * x,z,u))) = a(u,z,x * x) \ y. [hyper(13098,a,13137,a),flip(a)]. given #12444 (H,wt=35): 13035 R(x,(y \ (1 / (y * z))) * z,T(u,y \ (1 / (y * z)))) = R(x,((y * z) \ 1) * ((y / z) \ 1),u). [para(7509(a,2),13027(a,2,2))]. given #12445 (H,wt=33): 13139 R(x,y \ T(1 / y,z),T(u,y \ (1 / (y * z)))) = R(x,((y * z) \ 1) * ((y / z) \ 1),u). [para(4935(a,1),13035(a,1,2))]. given #12446 (H,wt=33): 13140 R(x,y \ T(1 / y,z),T(u,y \ ((y * z) \ 1))) = R(x,((y * z) \ 1) * ((y / z) \ 1),u). [para(5782(a,1),13139(a,1,3))]. given #12447 (H,wt=33): 13141 R(x,y \ T(1 / y,z),T(u,y \ (z \ (y \ 1)))) = R(x,((y * z) \ 1) * ((y / z) \ 1),u). [para(9681(a,1),13140(a,1,3))]. given #12448 (H,wt=36): 13053 R(x,y,(z / u) * ((w * (v5 * (u / z))) / (u / z))) = R(x,y,((u / z) \ w) * L(v5,u / z,u / z)). [para(2019(a,1),13050(a,1,3)),flip(a)]. given #12449 (H,wt=29): 13142 R(x,y,(z / u) * ((w * (v5 * (u / z))) / (u / z))) = R(x,y,((u / z) \ w) * v5). [hyper(272,a,8755,a(flip),b,13053,a),flip(a)]. given #12450 (H,wt=36): 13067 R(x,(1 / L(y,z,z)) \ 1,(1 / L(y,z,z)) / z) = R(x,(1 / L(y,z,z)) \ 1,(z \ 1) * (1 / y)). [para(3793(a,1),13065(a,2,3))]. given #12451 (H,wt=32): 13144 R(x,L(y,z,z),(1 / L(y,z,z)) / z) = R(x,(1 / L(y,z,z)) \ 1,(z \ 1) * (1 / y)). [para(74(a,1),13067(a,1,2))]. given #12452 (H,wt=31): 13146 R(x,(1 / L(y,z,z)) \ 1,(z \ 1) * (1 / y)) = R(x,L(y,z,z),(1 / y) * (1 / z)). [para(3792(a,1),13144(a,1,3)),flip(a)]. given #12453 (H,wt=29): 13147 R(x,(1 / L(y,z,z)) \ 1,(z \ 1) * (1 / y)) = R(x,L(y,z,z),(1 / y) / z). [hyper(272,a,8765,a(flip),b,13146,a),flip(a)]. given #12454 (H,wt=29): 13148 R(x,(1 / L(y,z,z)) \ 1,(z \ 1) * (1 / y)) = R(x,L(y,z,z),y \ (z \ 1)). [hyper(272,a,4901,a(flip),b,13147,a),flip(a)]. given #12455 (H,wt=26): 13149 R(x,(1 / L(y,z,z)) \ 1,(z \ 1) * (1 / y)) = R(x,y,y \ (z \ 1)). [hyper(272,a,9349,a(flip),b,13148,a),flip(a)]. given #12456 (H,wt=24): 13151 R(x,(1 / L(y,z,z)) \ 1,(z \ 1) * (1 / y)) = L(x,y \ z,y). [hyper(272,a,8884,a(flip),b,13149,a),flip(a)]. given #12457 (H,wt=20): 13152 R(x,L(y,z,z),(z \ 1) * (1 / y)) = L(x,y \ z,y). [para(74(a,1),13151(a,1,2))]. given #12458 (H,wt=18): 13153 R(x,L(y,z,z),(z \ 1) / y) = L(x,y \ z,y). [hyper(58,a,8765,a(flip),b,13152,a)]. given #12459 (H,wt=18): 13155 R(x,L(y,z,z),z \ (y \ 1)) = L(x,y \ z,y). [hyper(58,a,8770,a(flip),b,13153,a)]. given #12460 (H,wt=15): 13156 R(x,y,z \ (y \ 1)) = L(x,y \ z,y). [hyper(58,a,9349,a(flip),b,13155,a)]. given #12461 (H,wt=23): 13158 L(x,y \ (K(z,y \ 1) * u),y) = R(x,y,u \ T(y \ 1,z)). [para(5652(a,1),13156(a,1,3)),flip(a)]. given #12462 (H,wt=23): 13160 L(x,y \ (K(z,y \ 1) * u),y) = R(x,y,u \ (T(y,z) \ 1)). [hyper(272,a,13092,a(flip),b,13158,a),flip(a)]. given #12463 (H,wt=21): 13161 R(x,y,z \ (T(y,u) \ 1)) = L(x,T(y,y * u) \ z,y). [para(3971(a,1),13160(a,1,2)),flip(a)]. given #12464 (H,wt=25): 13159 R(x,y,(1 / z) \ T(y \ 1,u)) = L(x,y \ (K(y \ 1,u) / z),y). [para(5655(a,1),13156(a,1,3))]. given #12465 (H,wt=25): 13162 R(x,y,(1 / z) \ (T(y,u) \ 1)) = L(x,y \ (K(y \ 1,u) / z),y). [hyper(58,a,13092,a(flip),b,13159,a)]. given #12466 (H,wt=39): 12888 a(x * (a(x,y,z) \ u),w,K(v5,a(x,y,z) \ x)) = a(w,T(1 / u,L(x,y,z)),K(x * (a(x,y,z) \ u),v5)). [para(12887(a,1),10658(a,1,3,2))]. given #12467 (H,wt=37): 13163 a(x,T(1 / y,L(z,u,w)),K(z * (a(z,u,w) \ y),v5)) = a(z * (a(z,u,w) \ y),x,K(v5,L(z,w,u))). [para(10524(a,1),12888(a,1,3)),flip(a)]. given #12468 (H,wt=34): 13164 a(x,T(1 / y,L(z,u,w)),K(z * (a(z,u,w) \ y),v5)) = a(z * (a(z,u,w) \ y),x,K(v5,z)). [hyper(272,a,12236,a(flip),b,13163,a),flip(a)]. given #12469 (H,wt=34): 13166 a(x,T(1 / y,L(z,u,w)),K(z * (a(z,u,w) \ y),v5)) = a(z * (a(z,u,w) \ y),x,K(z,v5)). [para(28(a,1),13164(a,2,3))]. given #12470 (H,wt=32): 13167 a(x,T(1 / y,L(z,u,w)),K(z * (a(z,u,w) \ y),v5)) = a(x,a(z,u,w) \ y,K(z,v5)). [hyper(272,a,10667,a(flip),b,13166,a),flip(a)]. given #12471 (H,wt=39): 12904 L(x,((y * z) \ 1) * (y \ u),((y * z) \ 1) * (y \ u)) = L(x,(y \ ((y * z) \ 1)) * u,(y * (z * y)) \ u). [hyper(58,a,9110,a(flip),b,12901,a),flip(a)]. given #12472 (H,wt=37): 13168 L(x,((y * z) \ 1) * (y \ u),((y * z) \ 1) * (y \ u)) = L(x,(y * (z * y)) \ u,(y * (z * y)) \ u). [hyper(272,a,10012,a(flip),b,12904,a),flip(a)]. given #12473 (H,wt=37): 13169 L(x,((y * z) \ 1) * (y \ u),((y * z) \ 1) * (y \ u)) = L(x,(z * y) * (u \ y),(z * y) * (u \ y)). [hyper(272,a,12833,a(flip),b,13168,a),flip(a)]. given #12474 (H,wt=37): 13170 L(x,((y * z) \ 1) * (y \ u),((y * z) \ 1) * (y \ u)) = L(x,y * (z * (u \ y)),y * (z * (u \ y))). [hyper(272,a,12912,a(flip),b,13169,a),flip(a)]. given #12475 (H,wt=33): 13171 L(x,(y * z) \ (y \ u),(y * z) \ (y \ u)) = L(x,y * (z * (u \ y)),y * (z * (u \ y))). [hyper(10480,a,13170,a)]. given #12476 (H,wt=33): 13172 L(x,y * (z \ (y * u)),y * (z \ (y * u))) = L(x,y * (u * (z \ y)),y * (u * (z \ y))). [hyper(58,a,12900,a(flip),b,13171,a)]. given #12477 (H,wt=33): 13173 L(x,y * (z * (u \ y)),y * (z * (u \ y))) = L(x,y * (y * (u \ z)),y * (y * (u \ z))). [hyper(12924,a,13172,a),flip(a)]. given #12478 (H,wt=33): 13174 L(x,y * ((z \ u) * y),y * ((z \ u) * y)) = L(x,y * (u * (z \ y)),y * (u * (z \ y))). [hyper(272,a,11595,a,b,13173,a)]. given #12479 (H,wt=31): 13175 (L(x,y * (x * (z \ y)),y * (x * (z \ y))) \ 1) \ (y * y) = y * (y * L(x,z,z)). [para(13174(a,1),12918(a,1,1,1))]. given #12480 (H,wt=30): 13176 (T(x,y * ((z \ y) * (x \ (y * (z \ y))))) \ 1) \ (y * y) = y * (y * L(x,z,z)). [para(12133(a,1),13175(a,1,1,1))]. given #12481 (H,wt=27): 13177 (1 / L(x,y * (z \ y),y * (z \ y))) \ (y * y) = y * (y * L(x,z,z)). [para(12916(a,1),13176(a,1,1))]. given #12482 (H,wt=25): 13178 L(x,y * (z \ y),y * (z \ y)) * (y * y) = y * (y * L(x,z,z)). [hyper(3428,a,13177,a)]. given #12483 (H,wt=17): 13179 L(x,y * (z \ y),y * (z \ y)) = L(x,z,z). [hyper(3025,a,13178,a),flip(a)]. given #12484 (H,wt=17): 13180 L(x,y \ K(z,u),y \ K(z,u)) = L(x,y,y). [hyper(58,a,11506,a(flip),b,13179,a)]. given #12485 (H,wt=17): 13181 L(x,y \ z,y \ z) = L(x,z * y,z * y). [hyper(58,a,10021,a(flip),b,13179,a)]. given #12486 (H,wt=17): 13188 L(x,y * (y * z),y * (y * z)) = L(x,z,z). [hyper(7005,a,13181,a),flip(a)]. given #12487 (H,wt=16): 13194 L(x * (y * x),y,y) = ((x * y) \ 1) \ x. [hyper(58,a,11596,a(flip),b,13188,a),flip(a)]. given #12488 (H,wt=17): 13197 (x \ 1) \ (y * T(y,x)) = ((y * x) \ 1) \ y. [hyper(5016,a,13194,a)]. given #12489 (H,wt=18): 13184 L(x,y,y) * (K(z,u) * y) = x / (y \ K(z,u)). [para(13180(a,1),5645(a,1,1))]. given #12490 (H,wt=18): 13187 T(x,y * (z \ (y / z))) = L(x,y * z,y * z). [hyper(11604,a,13181,a)]. given #12491 (H,wt=19): 13199 (((x * y) \ 1) \ x) * y = y * (x / (1 / (y * x))). [para(13197(a,1),6563(a,1,1))]. given #12492 (H,wt=20): 13182 L(T(x,y * (y / z)),z,z) = T(x,1 / ((y * y) / z)). [hyper(58,a,9997,a(flip),b,13179,a),flip(a)]. given #12493 (H,wt=20): 13185 L(x,K(y,z) * u,K(y,z) * u) != w | L(x,u,u) = w. [para(13180(a,1),7005(a,1))]. given #12494 (H,wt=20): 13204 L(T(x,y * (y / z)),z,z) = T(x,1 * (z / (y * y))). [hyper(272,a,9693,a(flip),b,13182,a),flip(a)]. given #12495 (H,wt=20): 13206 L(T(x,y * (y / z)),z,z) = T(x,1 * (y \ (y \ z))). [para(3009(a,1),13204(a,2,2,2))]. given #12496 (H,wt=18): 13207 L(T(x,y * (y / z)),z,z) = T(x,y \ (y \ z)). [para(2(a,1),13206(a,2,2))]. given #12497 (H,wt=22): 13183 x \ ((y * (y * L(z,x,x))) / x) = (x \ z) / (y \ (y \ x)). [para(13179(a,1),11610(a,1,2,1,2,2))]. given #12498 (H,wt=21): 13210 x \ ((y * (z * z)) * (1 / x)) = (x \ y) / (z \ (z \ x)). [para(6118(a,1),13183(a,1,2))]. given #12499 (H,wt=21): 13212 x \ ((y * (y * z)) * (1 / x)) = (x \ z) / (y \ (y \ x)). [para(2956(a,1),13210(a,1,2,1))]. given #12500 (H,wt=19): 13213 (x \ (y * (y * z))) / x = (x \ z) / (y \ (y \ x)). [hyper(3536,a,13212,a)]. given #12501 (H,wt=22): 13186 L(x \ T(y,z),x * y,x * y) = ((x \ T(y,z)) \ 1) \ 1. [hyper(12800,a,13181,a),flip(a)]. given #12502 (H,wt=22): 13214 (x \ (x * y)) / (z \ (z \ x)) = L(y,x,x) * ((z * z) / x). [hyper(58,a,4758,a(flip),b,13213,a),flip(a)]. given #12503 (H,wt=18): 13215 L(x,y,y) * ((z * z) / y) = x / (z \ (z \ y)). [para(4(a,1),13214(a,1,1)),flip(a)]. given #12504 (H,wt=25): 13216 L(x,y,y) \ (z * (z * (x * u))) = (u / (z \ (z \ x))) * L(x,y,y). [para(13215(a,1),8864(a,1,1)),flip(a)]. given #12505 (H,wt=25): 13217 x \ ((L(x,y,y) * z) * (u * u)) = (z / (u \ (u \ x))) * L(x,y,y). [hyper(58,a,8645,a(flip),b,13216,a)]. given #12506 (H,wt=25): 13218 x \ (y * (y * (L(x,z,z) * u))) = (u / (y \ (y \ x))) * L(x,z,z). [para(2956(a,1),13217(a,1,2))]. given #12507 (H,wt=26): 13189 L((x \ T(y,x)) \ 1,x * y,x * y) = T(y \ x,y / ((x * y) \ 1)). [hyper(58,a,12137,a(flip),b,13181,a),flip(a)]. given #12508 (H,wt=26): 13220 L(x \ T(y,x),x * y,x * y) \ 1 = T(y \ x,y / ((x * y) \ 1)). [hyper(12463,a,13189,a)]. given #12509 (H,wt=23): 13221 T(x \ y,x / ((y * x) \ 1)) = (((y \ T(x,y)) \ 1) \ 1) \ 1. [para(13186(a,1),13220(a,1,1)),flip(a)]. given #12510 (H,wt=19): 13222 T(x \ y,x / ((y * x) \ 1)) = 1 / (y \ T(x,y)). [hyper(272,a,2826,a(flip),b,13221,a),flip(a)]. given #12511 (H,wt=17): 13223 T(x \ y,x * (y * x)) = 1 / (y \ T(x,y)). [hyper(6109,a,13222,a)]. given #12512 (H,wt=17): 13224 T(x \ y,x * (x * y)) = 1 / (y \ T(x,y)). [hyper(58,a,11794,a(flip),b,13223,a)]. given #12513 (H,wt=27): 13200 T((x * K(y,y \ 1)) * z,x * K(y,y \ 1)) = z / (x \ K(y,y \ 1)). [hyper(58,a,11366,a,b,13184,a)]. given #12514 (H,wt=27): 13203 (x * x) * T(((y * x) \ 1) \ y,x \ 1) = x * (x * (y / (1 / (x * y)))). [para(13199(a,1),3092(a,2,2))]. given #12515 (H,wt=21): 13227 x * (x * (y / (1 / (x * y)))) = (x * x) * ((y * x) * y). [para(6162(a,1),13203(a,1,2)),flip(a)]. given #12516 (H,wt=19): 13228 (x * (y * (x * y))) * y = (y * y) * ((x * y) * x). [hyper(58,a,7585,a(flip),b,13227,a)]. given #12517 (H,wt=25): 13229 (1 / x) * ((x * x) * ((y * x) * y)) = T(y * (x * (y * x)),x \ 1). [hyper(114,a,13228,a(flip),b,2791,a)]. given #12518 (H,wt=23): 13230 T(x * (y * (x * y)),y \ 1) = ((y \ 1) \ 1) * ((x * y) * x). [hyper(58,a,5151,a(flip),b,13229,a),flip(a)]. given #12519 (H,wt=21): 13231 ((x \ 1) \ 1) * ((y * x) * y) = x * (y / (1 / (x * y))). [hyper(58,a,7580,a(flip),b,13230,a),flip(a)]. given #12520 (H,wt=27): 13226 T((x * K(y,y \ 1)) * z,x * K(y,y \ 1)) = z / (((y * x) \ 1) * y). [para(5795(a,1),13200(a,2,2))]. given #12521 (H,wt=27): 13233 T(x * (y * K(z,z \ 1)),x * K(z,z \ 1)) = y / (((z * x) \ 1) * z). [para(2129(a,1),13226(a,1,1))]. given #12522 (H,wt=21): 13234 T(x * (y * K(z,z \ 1)),x) = y / (((z * x) \ 1) * z). [hyper(58,a,3644,a(flip),b,13233,a)]. given #12523 (H,wt=21): 13235 (x * K(y,y \ 1)) / (z \ 1) = x / (((y * z) \ 1) * y). [hyper(2916,a,13234,a)]. given #12524 (H,wt=21): 13237 K(x,x \ 1) * (y / (z \ 1)) = y / (((x * z) \ 1) * x). [hyper(58,a,2117,a(flip),b,13235,a)]. given #12525 (H,wt=21): 13238 (x / (y \ 1)) * K(z,z \ 1) = x / (((z * y) \ 1) * z). [hyper(1638,a,13237,a)]. given #12526 (H,wt=30): 13209 L(T(x,(a(y,z,u) / w) * a(y,z,u)),w,w) = T(x,a(y,z,u) \ (a(y,z,u) \ w)). [para(10985(a,1),13207(a,1,1))]. given #12527 (H,wt=34): 13208 L(T(x,y * (y / (z * K(y,u)))),z * K(y,u),z * K(y,u)) = T(x,y \ ((y \ z) * K(y,u))). [para(4298(a,1),13207(a,2,2,2))]. given #12528 (H,wt=32): 13240 L(T(x,y * (T(y,z) / u)),u * K(y,z),u * K(y,z)) = T(x,y \ ((y \ u) * K(y,z))). [para(5690(a,1),13208(a,1,1,2,2))]. given #12529 (H,wt=24): 13241 T(x,y \ ((y \ z) * K(y,u))) = L(T(x,y * (T(y,u) / z)),z,z). [hyper(58,a,11365,a(flip),b,13240,a),flip(a)]. given #12530 (H,wt=22): 13243 L(T(x,y * (T(y,z) / u)),u,u) = T(x,y \ (T(y,z) \ u)). [hyper(58,a,11385,a(flip),b,13241,a),flip(a)]. given #12531 (H,wt=35): 13202 ((x \ ((1 / ((y \ 1) * (1 / x))) \ 1)) \ y) \ 1 = ((((1 / x) * (y \ 1)) \ 1) \ (1 / x)) * (y \ 1). [hyper(272,a,4904,a,b,13199,a)]. given #12532 (H,wt=33): 13244 ((x \ ((1 / ((y \ 1) * (1 / x))) \ 1)) \ y) \ 1 = ((1 / x) * ((1 / y) * (1 / x))) * (y \ 1). [para(4725(a,1),13202(a,2,1))]. given #12533 (H,wt=29): 13245 ((x \ ((1 / ((y \ 1) * (1 / x))) \ 1)) \ y) \ 1 = (x \ ((1 / y) / x)) * (y \ 1). [para(3830(a,1),13244(a,2,1))]. given #12534 (H,wt=25): 13246 ((x \ ((y \ 1) * (1 / x))) \ y) \ 1 = (x \ ((1 / y) / x)) * (y \ 1). [para(74(a,1),13245(a,1,1,1,2))]. given #12535 (H,wt=23): 13249 (((x \ (y \ 1)) / x) \ y) \ 1 = (x \ ((1 / y) / x)) * (y \ 1). [para(3530(a,1),13246(a,1,1,1))]. given #12536 (H,wt=23): 13250 (((x * y) \ (1 / y)) \ x) \ 1 = (y \ ((1 / x) / y)) * (x \ 1). [para(4858(a,1),13249(a,1,1,1))]. given #12537 (H,wt=25): 13247 ((x \ (((x \ 1) \ y) \ 1)) \ y) \ 1 = (x \ ((1 / y) / x)) * (y \ 1). [para(4125(a,1),13245(a,1,1,1,2,1))]. given #12538 (H,wt=25): 13251 (x \ 1) * ((1 / y) / ((y \ 1) \ x)) = (y \ ((1 / x) / y)) * (x \ 1). [hyper(58,a,4904,a(flip),b,13247,a)]. given #12539 (H,wt=23): 13252 (x \ ((1 / y) / x)) * (y \ 1) = (y \ 1) * ((x \ (1 / y)) / x). [para(5156(a,1),13251(a,1,2)),flip(a)]. given #12540 (H,wt=23): 13253 (((x * y) \ (1 / y)) \ x) \ 1 = (x \ 1) * ((y \ (1 / x)) / y). [hyper(58,a,13250,a,b,13252,a)]. given #12541 (H,wt=35): 13219 (x * ((y * y) / L(z,u,u))) / (1 / L(z,u,u)) = a(z,u,u) * ((x / (y \ (y \ z))) * L(z,u,u)). [para(13218(a,1),6491(a,2,2))]. given #12542 (H,wt=33): 13254 (x * ((y * y) / L(z,u,u))) / (1 / L(z,u,u)) = (x / (y \ (y \ z))) * L(L(z,u,u),u,u). [hyper(272,a,10330,a(flip),b,13219,a),flip(a)]. given #12543 (H,wt=27): 13255 (x * ((y * y) / L(z,u,u))) / (1 / L(z,u,u)) = (x / (y \ (y \ z))) * z. [para(2965(a,1),13254(a,2,2))]. given #12544 (H,wt=21): 13256 (x * ((y * y) / z)) / (1 / z) = (x / (y \ (y \ z))) * z. [hyper(58,a,9593,a(flip),b,13255,a)]. given #12545 (H,wt=19): 13257 x \ (y * (y * (x * z))) = (z / (y \ (y \ x))) * x. [hyper(58,a,6489,a(flip),b,13256,a)]. given #12546 (H,wt=35): 13225 T(x,(y * ((y \ 1) \ z)) * (u \ (1 / (z \ T(y,z))))) = T(x,z * (z * (T(u,y * (y * z)) \ y))). [para(13224(a,1),12805(a,1,2,2,2))]. given #12547 (H,wt=33): 13258 T(x,(y * ((y \ 1) \ z)) * (u \ (T(y,z) \ z))) = T(x,z * (z * (T(u,y * (y * z)) \ y))). [hyper(58,a,9612,a(flip),b,13225,a)]. given #12548 (H,wt=31): 13259 T(x,(y * ((y \ 1) \ z)) * (u \ (z / y))) = T(x,z * (z * (T(u,y * (y * z)) \ y))). [hyper(58,a,8710,a(flip),b,13258,a)]. given #12549 (H,wt=29): 13260 T(x,y * (y * (T(z,u * (u * y)) \ u))) = T(x,(u * (u * y)) * (z \ (y / u))). [hyper(58,a,8673,a(flip),b,13259,a),flip(a)]. given #12550 (H,wt=29): 13261 T(x,y * (y * (T(z,u * (u * y)) \ u))) = T(x,u * (u * (y * (z \ (y / u))))). [hyper(272,a,11904,a(flip),b,13260,a),flip(a)]. given #12551 (H,wt=25): 13262 T(x,y * (y * (T(z,u * (u * y)) \ u))) = T(x,y * (z \ (y * u))). [hyper(272,a,12770,a(flip),b,13261,a),flip(a)]. given #12552 (H,wt=35): 13239 (x / (((y / z) \ 1) \ 1)) * K(z * z,(z * z) \ 1) = x / ((((z * (y \ z)) * z) \ 1) * (z * z)). [para(2911(a,1),13238(a,2,2,1,1))]. given #12553 (H,wt=35): 13263 (((x / y) * (1 / z)) \ 1) * K(y * y,(y * y) \ 1) = z / ((((y * (x \ y)) * y) \ 1) * (y * y)). [para(4132(a,1),13239(a,1,1))]. given #12554 (H,wt=32): 13264 (((x / y) * (1 / z)) \ 1) * a(y,y,y * y) = z / ((((y * (x \ y)) * y) \ 1) * (y * y)). [para(4245(a,1),13263(a,1,2))]. given #12555 (H,wt=27): 13265 x / ((((y * (z \ y)) * y) \ 1) * (y * y)) = (((z / y) * (1 / x)) \ 1) * 1. [para(3377(a,1),13264(a,1,2)),flip(a)]. given #12556 (H,wt=25): 13266 x / ((((y * (z \ y)) * y) \ 1) * (y * y)) = ((z / y) * (1 / x)) \ 1. [hyper(272,a,3,a(flip),b,13265,a),flip(a)]. given #12557 (H,wt=25): 13268 x / ((y \ ((z \ y) \ (y \ 1))) * (y * y)) = ((z / y) * (1 / x)) \ 1. [para(4349(a,1),13266(a,1,2,1))]. given #12558 (H,wt=25): 13269 x / (y * (y * (y \ ((z \ y) \ (y \ 1))))) = ((z / y) * (1 / x)) \ 1. [para(2956(a,1),13268(a,1,2))]. given #12559 (H,wt=21): 13270 x / (y * ((z \ y) \ (y \ 1))) = ((z / y) * (1 / x)) \ 1. [para(5(a,1),13269(a,1,2,2))]. given #12560 (H,wt=19): 13272 ((x / y) * (1 / z)) \ 1 = z / (y \ ((x \ y) \ y)). [para(4358(a,1),13270(a,1,2)),flip(a)]. given #12561 (H,wt=37): 13232 (((x \ 1) \ 1) \ 1) * (((1 / y) * (x \ 1)) * (1 / y)) = ((y \ ((1 / ((x \ 1) * (1 / y))) \ 1)) \ x) \ 1. [hyper(272,a,4904,a,b,13231,a),flip(a)]. given #12562 (H,wt=33): 13274 ((x \ ((1 / ((y \ 1) * (1 / x))) \ 1)) \ y) \ 1 = (1 / y) * (((1 / x) * (y \ 1)) * (1 / x)). [para(2826(a,1),13232(a,1,1)),flip(a)]. given #12563 (H,wt=29): 13275 ((x \ ((1 / ((y \ 1) * (1 / x))) \ 1)) \ y) \ 1 = (1 / y) * ((x \ (y \ 1)) / x). [para(757(a,1),13274(a,2,2))]. given #12564 (H,wt=29): 13276 ((x \ ((1 / ((y \ 1) * (1 / x))) \ 1)) \ y) \ 1 = (1 / y) * ((y * x) \ (1 / x)). [para(4858(a,1),13275(a,2,2))]. given #12565 (H,wt=25): 13277 ((x \ ((y \ 1) * (1 / x))) \ y) \ 1 = (1 / y) * ((y * x) \ (1 / x)). [para(74(a,1),13276(a,1,1,1,2))]. given #12566 (H,wt=23): 13279 (((x \ (y \ 1)) / x) \ y) \ 1 = (1 / y) * ((y * x) \ (1 / x)). [para(3530(a,1),13277(a,1,1,1))]. given #12567 (H,wt=23): 13280 (((x * y) \ (1 / y)) \ x) \ 1 = (1 / x) * ((x * y) \ (1 / y)). [para(4858(a,1),13279(a,1,1,1))]. given #12568 (H,wt=23): 13281 (1 / x) * ((x * y) \ (1 / y)) = (x \ 1) * ((y \ (1 / x)) / y). [hyper(58,a,13253,a(flip),b,13280,a),flip(a)]. given #12569 (H,wt=21): 13282 (1 / x) * ((x * y) \ (1 / y)) = x \ ((x * y) \ (1 / y)). [hyper(272,a,12700,a(flip),b,13281,a),flip(a)]. given #12570 (H,wt=31): 13283 x \ ((1 / x) * (((y \ (1 / x)) / y) * x)) = ((1 / x) * (x \ ((x * y) \ (1 / y)))) * x. [para(13282(a,1),12704(a,1,1,2)),flip(a)]. given #12571 (H,wt=29): 13284 x \ ((1 / x) * (((y \ (1 / x)) / y) * x)) = ((x * x) \ ((x * y) \ (1 / y))) * x. [para(3261(a,1),13283(a,2,1))]. given #12572 (H,wt=29): 13285 x \ ((1 / x) * (((y \ (1 / x)) / y) * x)) = (x \ (x \ ((y \ (1 / x)) / y))) * x. [para(9439(a,1),13284(a,2,1))]. given #12573 (H,wt=29): 13286 x \ ((1 / x) * (((y \ (1 / x)) / y) * x)) = x * ((x \ ((y \ (1 / x)) / y)) / x). [hyper(272,a,2828,a(flip),b,13285,a),flip(a)]. given #12574 (H,wt=29): 13287 x \ ((1 / x) * (((y \ (1 / x)) / y) * x)) = x * (x \ (x \ (y \ ((1 / x) / y)))). [para(9435(a,1),13286(a,2,2))]. given #12575 (H,wt=25): 13288 x \ ((1 / x) * (((y \ (1 / x)) / y) * x)) = x \ (y \ ((1 / x) / y)). [hyper(272,a,5,a(flip),b,13287,a),flip(a)]. given #12576 (H,wt=25): 13290 x \ ((1 / x) * (x * (y \ ((x \ 1) / y)))) = x \ (y \ ((1 / x) / y)). [para(9441(a,1),13288(a,1,2,2))]. given #12577 (H,wt=22): 13291 x \ L(y \ ((x \ 1) / y),x,x) = x \ (y \ ((1 / x) / y)). [para(3118(a,1),13290(a,1,2))]. given #12578 (H,wt=21): 13292 (x \ 1) * (y \ ((x \ 1) / y)) = x \ (y \ ((1 / x) / y)). [hyper(3130,a,13291,a)]. given #12579 (H,wt=35): 13293 T(x,(y * (z * z)) * (z \ (u \ ((1 / z) / u)))) = T(x,y * (T(z,z \ 1) * (u \ ((z \ 1) / u)))). [para(13292(a,1),12147(a,1,2,2))]. given #12580 (H,wt=33): 13294 T(x,(y * (z * z)) / (((u * z) * u) * z)) = T(x,y * (T(z,z \ 1) * (u \ ((z \ 1) / u)))). [hyper(58,a,9851,a(flip),b,13293,a)]. given #12581 (H,wt=33): 13295 T(x,(y * (z * z)) / (z * (u * (z * u)))) = T(x,y * (T(z,z \ 1) * (u \ ((z \ 1) / u)))). [para(6710(a,1),13294(a,1,2,2))]. given #12582 (H,wt=33): 13296 T(x,y \ (z \ (y \ (z \ (u * (y * y)))))) = T(x,u * (T(y,y \ 1) * (z \ ((y \ 1) / z)))). [hyper(58,a,12678,a(flip),b,13295,a)]. given #12583 (H,wt=31): 13297 T(x,y \ (z \ (y \ (z \ (u * (y * y)))))) = T(x,u * (T(y,y \ 1) / ((z * y) * z))). [hyper(272,a,10118,a(flip),b,13296,a),flip(a)]. given #12584 (H,wt=31): 13298 T(x,y \ (z \ (y \ (z \ (u * (y * y)))))) = T(x,u * (T(y,y \ 1) / (z * (y * z)))). [hyper(272,a,8840,a(flip),b,13297,a),flip(a)]. given #12585 (H,wt=29): 13299 T(x,y \ (z \ (y \ (z \ (u * (y * y)))))) = T(x,u * (T(y,1) / (z * (y * z)))). [hyper(272,a,9737,a(flip),b,13298,a),flip(a)]. given #12586 (H,wt=27): 13300 T(x,y \ (z \ (y \ (z \ (u * (y * y)))))) = T(x,u * (y / (z * (y * z)))). [para(182(a,1),13299(a,2,2,2,1))]. given #12587 (H,wt=27): 13301 T(x,y \ (z \ (y \ (z \ (u * (y * y)))))) = T(x,u * (((z * y) * z) \ y)). [para(6715(a,1),13300(a,2,2,2))]. given #12588 (H,wt=27): 13302 T(x,y \ (z \ (y \ (z \ (u * (y * y)))))) = T(x,u * ((z * (y * z)) \ y)). [hyper(272,a,8664,a(flip),b,13301,a),flip(a)]. given #12589 (H,wt=25): 13303 T(x,y \ (z \ (y \ (z \ (u * (y * y)))))) = T(x,z \ (T(z,y) \ u)). [hyper(272,a,11660,a(flip),b,13302,a),flip(a)]. given #12590 (H,wt=25): 13304 T(x,y \ (z \ (y \ (z \ (y * (y * u)))))) = T(x,z \ (T(z,y) \ u)). [para(2956(a,1),13303(a,1,2,2,2,2,2))]. given #12591 (H,wt=39): 13273 a(x,y,z * (((u / w) * (1 / T(v5,v5 \ (w \ ((u \ w) \ w))))) \ 1)) = a(x,y,z * ((w \ ((u \ w) \ w)) \ v5)). [para(13272(a,2),9273(a,1,3,2))]. given #12592 (H,wt=39): 13305 a(x,y,z * (((u / w) * (1 / T(v5,v5 \ (w \ ((w \ u) * w))))) \ 1)) = a(x,y,z * ((w \ ((u \ w) \ w)) \ v5)). [para(9761(a,1),13273(a,1,3,2,1,2,2))]. given #12593 (H,wt=39): 13306 a(x,y,z * (((u / w) * (1 / T(v5,v5 \ (w \ (w * (u / w)))))) \ 1)) = a(x,y,z * ((w \ ((u \ w) \ w)) \ v5)). [para(2828(a,1),13305(a,1,3,2,1,2,2,2,2,2))]. given #12594 (H,wt=35): 13307 a(x,y,z * ((u \ ((w \ u) \ u)) \ v5)) = a(x,y,z * (((w / u) * (1 / T(v5,v5 \ (w / u)))) \ 1)). [para(4(a,1),13306(a,1,3,2,1,2,2,2,2)),flip(a)]. given #12595 (H,wt=33): 13309 a(x,y,z * ((u \ ((w \ u) \ u)) \ v5)) = a(x,y,z * (((w / u) * T(v5 \ 1,w / u)) \ 1)). [para(3448(a,1),13307(a,2,3,2,1,2))]. given #12596 (H,wt=29): 13310 a(x,y,z * ((u \ ((w \ u) \ u)) \ v5)) = a(x,y,z * (((v5 \ 1) * (w / u)) \ 1)). [para(98(a,1),13309(a,2,3,2,1))]. given #12597 (H,wt=27): 13311 a(x,y,z * ((u \ ((w \ u) \ u)) \ v5)) = a(x,y,z / ((v5 \ 1) * (w / u))). [hyper(272,a,9240,a(flip),b,13310,a),flip(a)]. given #12598 (H,wt=27): 13312 a(x,y,z * ((u \ ((w \ u) \ u)) \ v5)) = a(x,y,z * ((w / u) \ (1 \ v5))). [hyper(272,a,10050,a(flip),b,13311,a),flip(a)]. given #12599 (H,wt=25): 13313 a(x,y,z * ((u \ ((w \ u) \ u)) \ v5)) = a(x,y,z * ((w / u) \ v5)). [para(60(a,1),13312(a,2,3,2,2))]. given #12600 (H,wt=25): 13314 a(x,y,z * ((((u \ w) \ w) \ w) * v5)) = a(x,y,z * ((u / w) \ v5)). [hyper(10035,a,13313,a)]. given #12601 (H,wt=21): 13315 a(x,y,z * ((u / w) \ v5)) = a(x,y,z * ((w / u) * v5)). [para(2826(a,1),13314(a,1,3,2,1)),flip(a)]. given #12602 (H,wt=23): 13316 x * a(x,y,z * ((u / w) * v5)) = R(x,y,z * ((w / u) \ v5)). [hyper(114,a,13315,a(flip),b,12967,a(flip))]. given #12603 (H,wt=21): 13317 R(x,y,z * ((u / w) \ v5)) = R(x,y,z * ((w / u) * v5)). [hyper(12985,a,13316,a),flip(a)]. given #12604 (H,wt=21): 13318 R(x,y,z * (u / (w \ 1))) = R(x,y,z * ((u / 1) * w)). [hyper(58,a,13080,a,b,13317,a)]. given #12605 (H,wt=19): 13320 R(x,y,z * (u / (w \ 1))) = R(x,y,z * (u * w)). [para(70(a,1),13318(a,2,3,2,1))]. given #12606 (H,wt=19): 13321 R(x,y,z * (u * (1 / w))) = R(x,y,z * (u / w)). [para(74(a,1),13320(a,1,3,2,2)),flip(a)]. given #12607 (H,wt=24): 13319 R(x,y,z / L(u / w,u,u)) = R(x,y,z * ((w / 1) * (1 / u))). [hyper(58,a,8761,a,b,13317,a)]. given #12608 (H,wt=22): 13322 R(x,y,z / L(u / w,u,u)) = R(x,y,z * (w * (1 / u))). [para(70(a,1),13319(a,2,3,2,1))]. given #12609 (H,wt=19): 13323 R(x,y,z * (u * (1 / w))) = R(x,y,z / (w / u)). [hyper(58,a,9471,a(flip),b,13322,a),flip(a)]. given #12610 (H,wt=17): 13325 R(x,y,z / (u / w)) = R(x,y,z * (w / u)). [hyper(58,a,13321,a(flip),b,13323,a),flip(a)]. given #12611 (H,wt=33): 13326 ((x / y) * (y * (1 / z))) / ((y \ 1) * (1 / (z / y))) = L(R(x,y \ 1,1 * (y / z)),y,y). [para(13325(a,1),9601(a,2,1))]. given #12612 (H,wt=31): 13327 ((x / y) * (y * (1 / z))) / ((y \ 1) * (1 / (z / y))) = L(R(x,y \ 1,y / z),y,y). [para(2(a,1),13326(a,2,1,3))]. given #12613 (H,wt=31): 13328 ((x / y) * (y * (1 / z))) / ((y \ 1) * (1 / (z / y))) = L(L(x,y * z,y \ 1),y,y). [para(13066(a,1),13327(a,2,1))]. given #12614 (H,wt=28): 13329 ((x / y) * (y * (1 / z))) / (1 / L(z,y,y)) = L(L(x,y * z,y \ 1),y,y). [para(4187(a,1),13328(a,1,2))]. given #12615 (H,wt=24): 13330 x \ ((L(x,y,y) * (z / y)) * y) = L(L(z,y * x,y \ 1),y,y). [hyper(58,a,8644,a(flip),b,13329,a)]. given #12616 (H,wt=21): 13331 L(L(x,y * z,y \ 1),y,y) = z \ (y \ ((y * z) * x)). [para(3121(a,1),13330(a,1,2)),flip(a)]. given #12617 (H,wt=22): 13333 x \ (y \ ((y * x) * (z * z))) = L(z * z,y * x,y \ 1). [hyper(58,a,3382,a(flip),b,13331,a),flip(a)]. given #12618 (H,wt=22): 13336 x \ (y \ (z * (z * (y * x)))) = L(z * z,y * x,y \ 1). [para(2956(a,1),13333(a,1,2,2))]. given #12619 (H,wt=22): 13337 x \ ((x / (y \ (y \ z))) * z) = L(y * y,z * x,z \ 1). [para(13257(a,1),13336(a,1,2))]. given #12620 (H,wt=35): 13334 L(L(x,y * z,(z * z) \ 1),z * z,z * z) = (y / z) \ ((z * z) \ (((z * z) * (y / z)) * x)). [para(3251(a,1),13331(a,1,1,2))]. given #12621 (H,wt=35): 13338 L(L(x,y * z,z \ (z \ 1)),z * z,z * z) = (y / z) \ ((z * z) \ (((z * z) * (y / z)) * x)). [para(3080(a,1),13334(a,1,1,3))]. given #12622 (H,wt=28): 13339 (x / y) \ ((y * y) \ (((y * y) * (x / y)) * z)) = L(z,x * y,y \ (y \ 1)). [hyper(4398,a,13338,a),flip(a)]. given #12623 (H,wt=24): 13341 (x / y) \ ((y * y) \ ((x * y) * z)) = L(z,x * y,y \ (y \ 1)). [para(3251(a,1),13339(a,1,2,2,1))]. given #12624 (H,wt=36): 13335 L(L(L(x,y * z,z \ 1),z * (y / z),z \ 1),z,z) = (y / z) \ (z \ ((z \ 1) * ((y * z) * x))). [para(3577(a,1),13331(a,2,2,2))]. given #12625 (H,wt=34): 13342 L(L(L(x,y * z,z \ 1),y,T(z \ 1,z)),z,z) = (y / z) \ (z \ ((z \ 1) * ((y * z) * x))). [para(12469(a,1),13335(a,1,1))]. given #12626 (H,wt=32): 13343 L(L(L(x,y * z,z \ 1),y,1 / z),z,z) = (y / z) \ (z \ ((z \ 1) * ((y * z) * x))). [para(2775(a,1),13342(a,1,1,3))]. given #12627 (H,wt=32): 13344 L(L(L(x,y * z,z \ 1),y,z \ 1),z,z) = (y / z) \ (z \ ((z \ 1) * ((y * z) * x))). [para(2449(a,1),13343(a,1,1))]. given #12628 (H,wt=30): 13345 L(L(L(x,y * z,z \ 1),y,z \ 1),z,z) = (y / z) \ ((z * z) \ ((y * z) * x)). [para(3525(a,1),13344(a,2,2))]. given #12629 (H,wt=27): 13346 L(L(L(x,y * z,z \ 1),y,z \ 1),z,z) = L(x,y * z,z \ (z \ 1)). [hyper(272,a,13341,a(flip),b,13345,a),flip(a)]. given #12630 (H,wt=37): 13332 L(L(x,(y \ 1) * z,(y \ 1) \ 1),y \ 1,y \ K(y \ 1,y)) = z \ ((y \ 1) \ (((y \ 1) * z) * x)). [hyper(58,a,9287,a,b,13331,a)]. given #12631 (H,wt=33): 13347 L(L(x,(y \ 1) * z,y),y \ 1,y \ K(y \ 1,y)) = z \ ((y \ 1) \ (((y \ 1) * z) * x)). [para(2452(a,1),13332(a,1,1))]. given #12632 (H,wt=31): 13348 L(L(x,y \ z,y),y \ 1,y \ K(y \ 1,y)) = z \ ((y \ 1) \ (((y \ 1) * z) * x)). [para(9218(a,1),13347(a,1,1))]. given #12633 (H,wt=27): 13349 L(L(x,y \ z,y),y \ 1,y \ 1) = z \ ((y \ 1) \ (((y \ 1) * z) * x)). [hyper(58,a,9287,a(flip),b,13348,a)]. given #12634 (H,wt=23): 13350 L(L(x,y \ z,y),y,y) = z \ ((y \ 1) \ (((y \ 1) * z) * x)). [hyper(4235,a,13349,a)]. given #12635 (H,wt=19): 13351 L(L(x,y \ z,y),y,y) = z \ ((z * (x * y)) / y). [para(7048(a,1),13350(a,2,2))]. given #12636 (H,wt=27): 13352 L(L(x,y,z / y),z / y,z / y) = z \ ((z * (x * (z / y))) / (z / y)). [para(74(a,1),13351(a,1,1,2))]. given #12637 (H,wt=27): 13354 L(L(x,y,y \ z),z / y,z / y) = z \ ((z * (x * (z / y))) / (z / y)). [para(8953(a,1),13352(a,1,1))]. given #12638 (H,wt=27): 13355 L(L(x,y,y \ z),y \ z,y \ z) = z \ ((z * (x * (z / y))) / (z / y)). [hyper(10541,a,13354,a)]. given #12639 (H,wt=27): 13356 L(L(x,y,y \ z),z * y,z * y) = z \ ((z * (x * (z / y))) / (z / y)). [hyper(58,a,13181,a(flip),b,13355,a)]. given #12640 (H,wt=42): 13353 L(L(x,T(y,z * x) \ z,T(y,z * x)),T(y,z * x),T(y,z * x)) = z \ ((L(y,x,z) * (z * x)) / T(y,z * x)). [para(547(a,1),13351(a,2,2,1))]. given #12641 (H,wt=40): 13357 L(L(x,T(y,z * x) \ z,T(y,z)),T(y,z * x),T(y,z * x)) = z \ ((L(y,x,z) * (z * x)) / T(y,z * x)). [para(11111(a,1),13353(a,1,1))]. given #12642 (H,wt=38): 13358 L(L(x,y / T(z,y * x),z),T(z,y * x),T(z,y * x)) = y \ ((L(z,x,y) * (y * x)) / T(z,y * x)). [para(12471(a,1),13357(a,1,1))]. given #12643 (H,wt=44): 10557 ((1 / (x \ y)) \ 1) * (L(1 / (x \ y),1 / (x \ y),y) \ z) = T((1 / (x \ y)) * (1 / (x \ y)),((y / x) \ 1) * y) \ z. [para(3425(a,2),10555(a,2,1,2))]. given #12644 (H,wt=40): 13359 T((1 / (x \ y)) * (1 / (x \ y)),((y / x) \ 1) * y) \ z = (x \ y) * (L(1 / (x \ y),1 / (x \ y),y) \ z). [hyper(533,a,10557,a),flip(a)]. given #12645 (H,wt=40): 13361 T((1 / (x \ y)) * (1 / (x \ y)),((y / x) \ 1) * y) \ z = (x \ y) * (L(1 / (x \ y),y,1 / (x \ y)) \ z). [para(10354(a,2),13359(a,2,2,1))]. given #12646 (H,wt=40): 13362 T((1 / (x \ y)) * (1 / (x \ y)),((y / x) \ 1) * y) \ z = (x \ y) * (L(1 / (x \ y),y,1 * (y \ x)) \ z). [para(9113(a,1),13361(a,2,2,1))]. given #12647 (H,wt=38): 13363 T((1 / (x \ y)) * (1 / (x \ y)),((y / x) \ 1) * y) \ z = (x \ y) * (L(1 / (x \ y),y,y \ x) \ z). [para(2(a,1),13362(a,2,2,1,3))]. given #12648 (H,wt=38): 13364 T((1 / (x \ y)) * (1 / (x \ y)),((y / x) \ 1) * y) \ z = (x \ y) * ((1 / L(x \ y,y,x \ y)) \ z). [para(10530(a,1),13363(a,2,2,1))]. given #12649 (H,wt=35): 13365 T((1 / (x \ y)) * (1 / (x \ y)),((y / x) \ 1) * y) \ z = (x \ y) * ((1 / ((y \ x) \ 1)) \ z). [para(10378(a,1),13364(a,2,2,1,2))]. given #12650 (H,wt=31): 13366 T((1 / (x \ y)) * (1 / (x \ y)),((y / x) \ 1) * y) \ z = (x \ y) * ((y \ x) \ z). [para(72(a,1),13365(a,2,2,1))]. given #12651 (H,wt=27): 13368 T((x \ y) * (x \ y),((x / y) \ 1) * x) \ z = (y \ x) * ((x \ y) \ z). [para(6222(a,1),13366(a,1,1,1))]. given #12652 (H,wt=27): 13369 T((x \ y) * (x \ y),x * (1 / (y \ x))) \ z = (y \ x) * ((x \ y) \ z). [para(3425(a,1),13368(a,1,1,2))]. given #12653 (H,wt=27): 13370 T((x \ y) * (x \ y),x * (1 * (x \ y))) \ z = (y \ x) * ((x \ y) \ z). [para(9643(a,1),13369(a,1,1))]. given #12654 (H,wt=25): 13371 T((x \ y) * (x \ y),x * (x \ y)) \ z = (y \ x) * ((x \ y) \ z). [para(2(a,1),13370(a,1,1,2,2))]. given #12655 (H,wt=21): 13372 T((x \ y) * (x \ y),y) \ z = (y \ x) * ((x \ y) \ z). [para(5(a,1),13371(a,1,1,2))]. given #12656 (H,wt=19): 13373 ((x / (x \ y)) \ y) \ z = (y \ x) * ((x \ y) \ z). [para(4374(a,1),13372(a,1,1))]. given #12657 (H,wt=19): 13374 (x \ y) \ (((x / (x \ y)) \ y) * z) = (y \ x) \ z. [hyper(285,a,13373,a),flip(a)]. given #12658 (H,wt=27): 13375 ((x / (x \ y)) \ y) \ (z * (y / (x / (x \ y)))) = (x \ y) \ ((y \ x) \ z). [para(13374(a,1),7623(a,2,2))]. given #12659 (H,wt=27): 13376 ((x / (x \ y)) \ y) \ (z * ((x \ y) * (x \ y))) = (x \ y) \ ((y \ x) \ z). [para(3272(a,1),13375(a,1,2,2))]. given #12660 (H,wt=27): 13377 (x \ y) * ((y \ x) \ (z * ((y \ x) * (y \ x)))) = (y \ x) \ ((x \ y) \ z). [hyper(58,a,13373,a(flip),b,13376,a)]. given #12661 (H,wt=19): 13378 (x \ y) \ ((y \ x) \ z) = (y \ x) * ((x \ y) * z). [para(2840(a,1),13377(a,1,2)),flip(a)]. given #12662 (H,wt=25): 13379 (x \ y) \ ((y \ x) \ T(z,y \ x)) = (y \ x) * (z / ((x \ y) \ 1)). [para(4463(a,1),13378(a,2,2))]. given #12663 (H,wt=23): 13380 (x \ y) \ (z * ((y \ x) \ 1)) = (y \ x) * (z / ((x \ y) \ 1)). [para(2789(a,1),13379(a,1,2))]. given #12664 (H,wt=45): 11954 T(T(x,K(y * (y * z),y * u)),(y * (y * z)) * (y * (u / (y * (y * z))))) = T(x,(y * (y * z)) * (((y * y) \ (z \ y)) * u)). [para(3784(a,1),11840(a,2,2,2,1))]. given #12665 (H,wt=41): 13381 T(T(x,K(y,z * u)),(u * (u * y)) * (u * (z / (u * (u * y))))) = T(x,(u * (u * y)) * (((u * u) \ (y \ u)) * z)). [para(11236(a,1),11954(a,1,1))]. given #12666 (H,wt=41): 13382 T(T(x,K(y,z * u)),u * (((u * y) * u) * (z / (u * (u * y))))) = T(x,(u * (u * y)) * (((u * u) \ (y \ u)) * z)). [hyper(58,a,11858,a(flip),b,13381,a)]. given #12667 (H,wt=33): 13384 T(T(x,K(y,z * u)),T(z * u,u * y)) = T(x,(u * (u * y)) * (((u * u) \ (y \ u)) * z)). [hyper(58,a,12001,a(flip),b,13382,a)]. given #12668 (H,wt=29): 13385 T(x,(y * (y * z)) * (((y * y) \ (z \ y)) * u)) = T(x,T(T(u * y,y * z),z)). [hyper(58,a,10946,a(flip),b,13384,a),flip(a)]. given #12669 (H,wt=29): 13386 T(x,(y * (y * z)) * (((y * y) \ (z \ y)) * u)) = T(x,T(T(u * y,z),y * z)). [para(18(a,1),13385(a,2,2))]. given #12670 (H,wt=29): 13387 T(x,(y * (y * z)) * ((y \ (y \ (z \ y))) * u)) = T(x,T(T(u * y,z),y * z)). [hyper(58,a,8571,a(flip),b,13386,a)]. given #12671 (H,wt=27): 13388 T(x,(y * (y * z)) * ((z \ (y \ 1)) * u)) = T(x,T(T(u * y,z),y * z)). [para(4355(a,1),13387(a,1,2,2,1))]. given #12672 (H,wt=25): 13389 T(x,(y * (y * z)) * ((y * z) \ u)) = T(x,T(T(u * y,z),y * z)). [hyper(58,a,9646,a(flip),b,13388,a)]. given #12673 (H,wt=25): 13390 T(x,(y * z) * (((y * z) \ y) * u)) = T(x,T(T(u * y,z),y * z)). [hyper(58,a,11473,a(flip),b,13389,a)]. given #12674 (H,wt=21): 13391 T(x,T(T(y * z,u),z * u)) = T(x,(z * u) * (u \ y)). [hyper(58,a,9648,a(flip),b,13390,a),flip(a)]. given #12675 (H,wt=21): 13393 T(x,T(T(y * z,u),z * u)) = T(x,u * ((u \ z) * y)). [hyper(272,a,11473,a(flip),b,13391,a),flip(a)]. given #12676 (H,wt=21): 13394 T(x,T(T(y * z,u),u * z)) = T(x,u * ((u \ z) * y)). [hyper(10928,a,13393,a)]. given #12677 (H,wt=27): 13396 T(x,T(y * (T(z,u) / y),u * (z / y))) = T(x,u * ((u \ (z / y)) * y)). [para(2184(a,1),13394(a,1,2,1))]. given #12678 (H,wt=27): 13399 T(x,y * (T(T(z,u),u * (z / y)) / y)) = T(x,u * ((u \ (z / y)) * y)). [para(2184(a,1),13396(a,1,2))]. given #12679 (H,wt=25): 13400 T(x,T(T(T(y,z),z * (y / u)),u)) = T(x,z * ((z \ (y / u)) * u)). [hyper(8555,a,13399,a)]. given #12680 (H,wt=25): 13401 T(x,T(T(T(y,z),u),z * (y / u))) = T(x,z * ((z \ (y / u)) * u)). [para(18(a,1),13400(a,1,2))]. given #12681 (H,wt=25): 13402 T(x,T(T(T(y,z),u),z * (y * u))) = T(x,z * ((z \ (y / u)) * u)). [hyper(58,a,11813,a(flip),b,13401,a)]. given #12682 (H,wt=20): 13403 T(x,T(T(T(y,z),u),z * (y * u))) = T(x,L(y,z,u)). [hyper(272,a,11934,a(flip),b,13402,a),flip(a)]. given #12683 (H,wt=37): 13395 T(x,T(T(y * z,T(u \ w,v5)),T(u \ w,v5) * z)) = T(x,T(w \ u,v5) \ ((T(u \ w,v5) \ z) * y)). [hyper(272,a,11571,a,b,13394,a),flip(a)]. given #12684 (H,wt=35): 13404 T(x,T(T(y * z,T(u \ w,v5)),z * (u \ w))) = T(x,T(w \ u,v5) \ ((T(u \ w,v5) \ z) * y)). [hyper(58,a,11401,a(flip),b,13395,a)]. given #12685 (H,wt=35): 13406 T(x,T(T(y * z,T(u \ w,v5)),z * (u * w))) = T(x,T(w \ u,v5) \ ((T(u \ w,v5) \ z) * y)). [hyper(58,a,11788,a(flip),b,13404,a)]. given #12686 (H,wt=33): 13407 T(x,T(T(y * z,u \ w),z * (u * w))) = T(x,T(w \ u,v5) \ ((T(u \ w,v5) \ z) * y)). [hyper(11500,a,13406,a)]. given #12687 (H,wt=33): 13408 T(x,T(T(y * z,u * w),z * (u * w))) = T(x,T(w \ u,v5) \ ((T(u \ w,v5) \ z) * y)). [hyper(58,a,11237,a(flip),b,13407,a)]. given #12688 (H,wt=31): 13409 T(x,T(y \ z,u) \ ((T(z \ y,u) \ w) * v5)) = T(x,(z * y) * (((z * y) \ w) * v5)). [hyper(58,a,13393,a(flip),b,13408,a),flip(a)]. given #12689 (H,wt=31): 13410 T(x,T(y \ z,u) * ((T(y \ z,u) \ w) * v5)) = T(x,(y * z) * (((y * z) \ w) * v5)). [hyper(11572,a,13409,a)]. given #12690 (H,wt=27): 13411 T(x,(y \ z) * (((y \ z) \ u) * w)) = T(x,(y * z) * (((y * z) \ u) * w)). [hyper(58,a,12031,a(flip),b,13410,a)]. given #12691 (H,wt=24): 13412 T(x,(y * z) * (((y * z) \ u) * (u \ w))) = T(x,L(w,y \ z,u)). [hyper(58,a,11937,a(flip),b,13411,a),flip(a)]. given #12692 (H,wt=17): 13413 T(x,L(y,z \ u,w)) = T(x,L(y,z * u,w)). [hyper(58,a,11937,a(flip),b,13412,a),flip(a)]. given #12693 (H,wt=17): 13414 T(x,L(y,z * (z * u),w)) = T(x,L(y,u,w)). [para(4(a,1),13413(a,1,2,2)),flip(a)]. given #12694 (H,wt=18): 13415 T(x * (x * y),L(z,y,u)) = T(x * (x * y),z). [hyper(8065,a,13414,a),flip(a)]. given #12695 (H,wt=18): 13416 T(x * (x * y),L(z,u,y)) = T(x * (x * y),z). [hyper(58,a,10730,a,b,13415,a)]. given #12696 (H,wt=39): 13398 T(x,T(T(y * (z * ((u * w) * w)),v5),v5 * (z * (u * (w * w))))) = T(x,v5 * ((v5 \ (z * ((u * w) * w))) * y)). [para(8713(a,1),13394(a,1,2))]. given #12697 (H,wt=35): 13417 T(x,T(T(y * (z * ((u * w) * w)),z),u * (w * w))) = T(x,z * ((z \ (z * ((u * w) * w))) * y)). [hyper(11215,a,13398,a)]. given #12698 (H,wt=31): 13418 T(x,T(T(y * (z * ((u * w) * w)),z),u)) = T(x,z * ((z \ (z * ((u * w) * w))) * y)). [hyper(11230,a,13417,a)]. given #12699 (H,wt=31): 13419 T(x,T((y * z) * T((u * w) * w,y),u)) = T(x,y * ((y \ (y * ((u * w) * w))) * z)). [hyper(11983,a,13418,a)]. given #12700 (H,wt=29): 13421 T(x,y * ((y \ (y * ((z * u) * u))) * w)) = T(x,u * (u * (T(z,y) * (y * w)))). [hyper(58,a,12818,a(flip),b,13419,a),flip(a)]. given #12701 (H,wt=25): 13422 T(x,y * (y * (T(z,u) * (u * w)))) = T(x,u * (((z * y) * y) * w)). [para(4(a,1),13421(a,1,2,2,1)),flip(a)]. given #12702 (H,wt=41): 13397 T(x,T(T((y \ z) * (u / (y \ z)),w),w * (u * (1 / (z \ y))))) = T(x,w * ((w \ (u * (1 / (z \ y)))) * (z \ y))). [para(8704(a,1),13394(a,1,2,1,1))]. given #12703 (H,wt=41): 13424 T(x,T((y \ z) * (T(u,w) / (y \ z)),w * (u * (1 / (z \ y))))) = T(x,w * ((w \ (u * (1 / (z \ y)))) * (z \ y))). [para(2184(a,1),13397(a,1,2,1))]. given #12704 (H,wt=41): 13425 T(x,T((y \ z) * (T(u,w) / (y \ z)),w * (u * (1 * (y \ z))))) = T(x,w * ((w \ (u * (1 / (z \ y)))) * (z \ y))). [para(9603(a,1),13424(a,1,2))]. given #12705 (H,wt=39): 13426 T(x,T((y \ z) * (T(u,w) / (y \ z)),w * (u * (y \ z)))) = T(x,w * ((w \ (u * (1 / (z \ y)))) * (z \ y))). [para(2(a,1),13425(a,1,2,2,2,2))]. given #12706 (H,wt=39): 13427 T(x,(y \ z) * (T(T(u,w),w * (u * (y \ z))) / (y \ z))) = T(x,w * ((w \ (u * (1 / (z \ y)))) * (z \ y))). [para(2184(a,1),13426(a,1,2))]. given #12707 (H,wt=35): 13428 T(x,T(T(T(y,z),z * (y * (u \ w))),u \ w)) = T(x,z * ((z \ (y * (1 / (w \ u)))) * (w \ u))). [hyper(8555,a,13427,a)]. given #12708 (H,wt=35): 13429 T(x,T(T(T(y,z),u \ w),z * (y * (u \ w)))) = T(x,z * ((z \ (y * (1 / (w \ u)))) * (w \ u))). [para(18(a,1),13428(a,1,2))]. given #12709 (H,wt=35): 13430 T(x,T(T(T(y,z),u \ w),z * (y * (u * w)))) = T(x,z * ((z \ (y * (1 / (w \ u)))) * (w \ u))). [hyper(58,a,11965,a(flip),b,13429,a)]. given #12710 (H,wt=35): 13431 T(x,T(T(T(y,z),u * w),z * (y * (u * w)))) = T(x,z * ((z \ (y * (1 / (w \ u)))) * (w \ u))). [hyper(58,a,11237,a(flip),b,13430,a)]. given #12711 (H,wt=26): 13432 T(x,y * ((y \ (z * (1 / (u \ w)))) * (u \ w))) = T(x,L(z,y,w * u)). [hyper(58,a,13403,a(flip),b,13431,a),flip(a)]. given #12712 (H,wt=24): 13433 T(x,y * ((y \ (z / (u \ w))) * (u \ w))) = T(x,L(z,y,w * u)). [hyper(58,a,9932,a(flip),b,13432,a)]. given #12713 (H,wt=17): 13434 T(x,L(y,z,u \ w)) = T(x,L(y,z,w * u)). [hyper(58,a,11934,a(flip),b,13433,a)]. given #12714 (H,wt=19): 13435 x \ T(x,L(y,z,u * w)) = K(x,L(y,z,w \ u)). [hyper(112,a,13434,a(flip),b,2674,a(flip))]. given #12715 (H,wt=17): 13436 K(x,L(y,z,u \ w)) = K(x,L(y,z,w * u)). [hyper(2691,a,13435,a),flip(a)]. given #12716 (H,wt=17): 13438 K(x,L(y,z,(u \ w) \ u)) = K(x,L(y,z,w)). [para(5(a,1),13436(a,2,2,3))]. given #12717 (H,wt=17): 13443 K(x,L(y,z,(u \ w) * w)) = K(x,L(y,z,u)). [para(3295(a,1),13438(a,1,2,3))]. given #12718 (H,wt=17): 13444 K(x,L(y,z,u / w)) = K(x,L(y,z,w * u)). [para(74(a,1),13443(a,1,2,3,1)),flip(a)]. given #12719 (H,wt=19): 13440 K(x,L(y,z,(u * w) * w)) = K(x,L(y,z,T(u,w))). [para(17(a,2),13436(a,1,2,3)),flip(a)]. given #12720 (H,wt=17): 13445 K(x,L(y,z,(u * w) * w)) = K(x,L(y,z,u)). [hyper(272,a,11007,a(flip),b,13440,a),flip(a)]. given #12721 (H,wt=17): 13447 K(x,L(y,z,u * (u * w))) = K(x,L(y,z,w)). [para(8964(a,1),13445(a,1,2))]. given #12722 (H,wt=20): 13437 K(x,L(y,z,u \ w)) != v5 | K(x,L(y,z,w * u)) = v5. [para(13435(a,1),2691(a,1))]. given #12723 (H,wt=21): 13442 K(x,L(y,z,u * w)) * K(x,y) = a(x,w \ u,K(y,z)). [para(13436(a,1),10636(a,1,1))]. given #12724 (H,wt=17): 13448 a(x,y \ z,K(u,w)) = a(x,z * y,K(u,w)). [hyper(10686,a,13442,a),flip(a)]. given #12725 (H,wt=17): 13451 a(x,y / z,K(u,w)) = a(x,y * z,K(u,w)). [hyper(58,a,12176,a,b,13448,a)]. given #12726 (H,wt=17): 13453 a(x,y * (z * y),K(u,w)) = a(w,x,K(z,u)). [hyper(58,a,12182,a(flip),b,13448,a),flip(a)]. given #12727 (H,wt=17): 13454 a(x,y,K(z,u * (w * u))) = a(x,y,K(w,z)). [hyper(58,a,10639,a(flip),b,13453,a)]. given #12728 (H,wt=17): 13455 a(x,y,K(z,u * (w * u))) = a(x,y,K(z,w)). [para(28(a,1),13454(a,2,3))]. given #12729 (H,wt=17): 13456 a(x,y,K(z,u \ w)) = a(x,y,K(z,w * u)). [para(11535(a,1),13455(a,1,3))]. given #12730 (H,wt=18): 13452 a(x,y * a(y,z,u),K(w,v5)) = a(v5,x,K(y,w)). [hyper(58,a,12252,a(flip),b,13448,a),flip(a)]. given #12731 (H,wt=20): 13449 a(x,y \ z,K(u,w)) != v5 | a(x,z * y,K(u,w)) = v5. [para(13442(a,1),10686(a,1))]. given #12732 (H,wt=20): 13461 a(x,y / z,K(u,w)) != v5 | a(x,y * z,K(u,w)) = v5. [para(12176(a,2),13449(a,1))]. given #12733 (H,wt=18): 13462 a(x,y,K(z,u)) != w | a(x,y * u,K(z,u)) = w. [para(8258(a,1),13461(a,1))]. given #12734 (H,wt=21): 13457 a(x,y,K(z,u \ (w / v5))) = a(x,y,K(z,(u \ w) * v5)). [hyper(58,a,12262,a(flip),b,13456,a)]. given #12735 (H,wt=21): 13458 a(x,y,K(z,u \ (w / v5))) = a(x,y,K(z,w * (u * v5))). [hyper(58,a,12258,a(flip),b,13456,a)]. given #12736 (H,wt=21): 13459 x * a(x \ 1,y,K(z,u * w)) = L(x,K(z,w \ u),y). [hyper(114,a,13456,a(flip),b,1181,a(flip))]. given #12737 (H,wt=19): 13466 x * a(y,z,K(x,u * w)) = L(x,K(y,w \ u),z). [para(10598(a,1),13459(a,1,2))]. given #12738 (H,wt=17): 13467 L(x,K(y,z \ u),w) = L(x,u * z,K(y,w)). [hyper(58,a,10708,a(flip),b,13466,a),flip(a)]. given #12739 (H,wt=17): 13468 L(x,K(y,z \ u),w) = L(x,u * z,K(w,y)). [para(28(a,1),13467(a,2,3))]. given #12740 (H,wt=17): 13469 L(x,y \ z,K(u,w)) = L(x,z * y,K(u,w)). [hyper(58,a,10745,a(flip),b,13468,a)]. given #12741 (H,wt=20): 13470 L(L(x,y,z),u * w,K(y,z)) = L(x,y,T(z,w \ u)). [hyper(10760,a,13469,a),flip(a)]. given #12742 (H,wt=17): 13471 L(x,y,T(z,u \ w)) = L(x,y,T(z,w * u)). [hyper(10760,a,13470,a),flip(a)]. given #12743 (H,wt=20): 13472 L(x,y,T(z,u \ w)) != v5 | L(x,y,T(z,w * u)) = v5. [para(13470(a,1),10760(a,1))]. given #12744 (H,wt=21): 13464 a(x,y,K(z,(u \ w) * v5)) = a(x,y,K(z,w * (u * v5))). [hyper(58,a,13457,a(flip),b,13458,a)]. given #12745 (H,wt=21): 13465 a(x,y,K(z,(u / w) * v5)) = a(x,y,K(z,u * (v5 * w))). [hyper(58,a,13456,a(flip),b,13458,a)]. given #12746 (H,wt=21): 13473 L(x,y,T(z,(u * w) * v5)) = L(x,y,T(z,w * (v5 \ u))). [hyper(12615,a,13471,a),flip(a)]. given #12747 (H,wt=21): 13474 a(x,y,K(z,u * (w / v5))) = a(x,y,K(z,u * (v5 * w))). [hyper(58,a,12162,a(flip),b,13464,a)]. given #12748 (H,wt=21): 13477 L(x,y,T(z,u * (w \ v5))) = L(x,y,T(z,u * (w * v5))). [hyper(58,a,11818,a(flip),b,13473,a),flip(a)]. given #12749 (H,wt=22): 13463 K(x,y) * K(L(y,z,u),x) != w | a(u,z * y,K(x,y)) = w. [para(8247(a,2),13462(a,1))]. given #12750 (H,wt=24): 13439 K(x,L(y,z,(u * (w * v5)) * (u * w))) = K(x,L(y,z,L(v5,w,u))). [para(13(a,2),13436(a,1,2,3)),flip(a)]. given #12751 (H,wt=24): 13478 L(x,y,T(z,L(x,y,z) * (x * u))) \ x = T(L(x,y,z) \ x,u). [para(13477(a,1),10851(a,1,1))]. given #12752 (H,wt=24): 13479 L(x,y,T(z,x * (L(x,y,z) * u))) \ x = T(L(x,y,z) \ x,u). [para(1270(a,1),13478(a,1,1,3,2))]. given #12753 (H,wt=22): 13480 L(x,y,T(z,L(x,y,z) * u)) \ x = T(L(x,y,z) \ x,u). [para(11110(a,1),13479(a,1,1))]. given #12754 (H,wt=22): 13481 L(x,y,T(z,L(x,y,z) * u)) \ x = L(x,y,T(z,u)) \ x. [hyper(272,a,10773,a(flip),b,13480,a),flip(a)]. given #12755 (H,wt=19): 13482 (L(x,y,z) * u) \ (x * u) = L(x,y,T(z,u)) \ x. [hyper(58,a,10850,a(flip),b,13481,a)]. given #12756 (H,wt=17): 13483 (L(x,y,z) * u) \ (x * u) = a(T(z,u),y,x). [hyper(272,a,12322,a,b,13482,a),flip(a)]. given #12757 (H,wt=17): 13484 (L(x,y,z) * u) \ (x * u) = a(z,T(y,u),x). [hyper(272,a,11095,a(flip),b,13483,a),flip(a)]. given #12758 (H,wt=26): 13475 a(x,y,K(z,u * (w * v5))) * a(x,y,z) = T(a(x,y,z),(w \ u) * v5). [para(13464(a,1),10285(a,1,1))]. given #12759 (H,wt=21): 13485 T(a(x,y,z),(u \ w) * v5) = T(a(x,y,z),w * (u * v5)). [hyper(10286,a,13475,a),flip(a)]. given #12760 (H,wt=17): 13487 T(a(x,y,z),u * (u * w)) = T(a(x,y,z),w). [para(151(a,1),13485(a,1,2)),flip(a)]. given #12761 (H,wt=21): 13486 T(a(x,y,z),u * (w / v5)) = T(a(x,y,z),u * (v5 * w)). [hyper(58,a,11874,a(flip),b,13485,a)]. given #12762 (H,wt=19): 13489 T(a(x,y,z),u * (T(u,w) * v5)) = T(a(x,y,z),v5). [hyper(58,a,12261,a(flip),b,13486,a),flip(a)]. given #12763 (H,wt=17): 13490 T(a(x,y,z),u * (w * u)) = T(a(x,y,z),w). [para(2778(a,1),13489(a,1,2,2))]. given #12764 (H,wt=17): 13491 a(x,T(y,z * (u * z)),w) = T(a(x,y,w),u). [hyper(12272,a,13490,a)]. given #12765 (H,wt=17): 13492 T(a(x * y,z,x),y * z) = a(x * y,z,x). [hyper(10625,a,13490,a),flip(a)]. given #12766 (H,wt=17): 13493 a(x,T(y,z * (u * z)),w) = a(x,T(y,u),w). [hyper(272,a,12271,a,b,13491,a),flip(a)]. given #12767 (H,wt=17): 13494 a(x * y,T(z,y * z),x) = a(x * y,z,x). [hyper(12272,a,13492,a)]. given #12768 (H,wt=15): 13496 a(x * y,T(z,y),x) = a(x * y,z,x). [hyper(9023,a,13494,a)]. given #12769 (H,wt=13): 13497 a(x * y,z,y) = a(y * x,z,y). [hyper(58,a,11102,a(flip),b,13496,a)]. given #12770 (H,wt=13): 13498 a(x * y,z,x) = a(x,x \ y,z). [hyper(13041,a,13497,a),flip(a)]. given #12771 (H,wt=17): 13495 a(x,y,T(z,u * (w * u))) = a(x,T(y,w),z). [hyper(58,a,12373,a(flip),b,13493,a)]. given #12772 (H,wt=17): 13499 a(x,y,T(z,u * (w * u))) = a(x,y,T(z,w)). [hyper(272,a,12373,a(flip),b,13495,a),flip(a)]. given #12773 (H,wt=21): 13488 T(a(x,y,z),u * (w \ v5)) = T(a(x,y,z),u * (w * v5)). [hyper(58,a,11784,a(flip),b,13487,a),flip(a)]. given #12774 (H,wt=21): 13500 T(a(x,y,z),(u / w) * v5) = T(a(x,y,z),u * (w * v5)). [hyper(58,a,11940,a,b,13488,a)]. given #12775 (H,wt=26): 13476 a(x,y,K(z,u * (w * v5))) * a(x,y,z) = T(a(x,y,z),(u / v5) * w). [para(13465(a,1),10285(a,1,1))]. given #12776 (H,wt=27): 13441 K(x,L(y,z,((u * (w / v5)) * v5) \ v5)) = K(x,L(y,z,((1 / v5) \ u) * w)). [para(108(a,1),13436(a,2,2,3))]. given #12777 (H,wt=27): 13502 K(x,L(y,z,u \ ((w * (v5 / u)) \ u))) = K(x,L(y,z,((1 / u) \ w) * v5)). [para(9073(a,1),13441(a,1,2))]. given #12778 (H,wt=27): 13503 K(x,L(y,z,((u * (w / v5)) \ v5) * v5)) = K(x,L(y,z,((1 / v5) \ u) * w)). [hyper(13437,a,13502,a)]. given #12779 (H,wt=27): 13504 K(x,L(y,z,u * (u / (w * (v5 / u))))) = K(x,L(y,z,((1 / u) \ w) * v5)). [para(8942(a,1),13503(a,1,2))]. given #12780 (H,wt=27): 13505 K(x,L(y,z,u * (u * ((u / w) / v5)))) = K(x,L(y,z,((1 / u) \ v5) * w)). [para(11642(a,1),13504(a,1,2))]. given #12781 (H,wt=23): 13506 K(x,L(y,z,((1 / u) \ w) * v5)) = K(x,L(y,z,(u / v5) / w)). [hyper(58,a,13447,a(flip),b,13505,a),flip(a)]. given #12782 (H,wt=23): 13508 K(x,L(y,z,((1 / u) \ w) * v5)) = K(x,L(y,z,w * (u / v5))). [hyper(272,a,13444,a(flip),b,13506,a),flip(a)]. given #12783 (H,wt=21): 13509 K(x,L(y,z,(u * w) * v5)) = K(x,L(y,z,w * (u / v5))). [para(9043(a,1),13508(a,1,2))]. given #12784 (H,wt=24): 13510 K(x,L(y,z,(u * w) * (v5 / (v5 * u)))) = K(x,L(y,z,L(w,u,v5))). [hyper(58,a,13439,a(flip),b,13509,a),flip(a)]. given #12785 (H,wt=22): 13511 K(x,L(y,z,(u * w) / T(u,v5))) = K(x,L(y,z,L(w,u,v5))). [para(9068(a,1),13510(a,1,2))]. given #12786 (H,wt=22): 13512 K(x,L(y,z,T(u,w) * K(w,v5))) = K(x,L(y,z,L(u,w,v5))). [para(3998(a,1),13511(a,1,2,3))]. given #12787 (H,wt=22): 13513 K(x,L(y,z,u * (w / T(u,v5)))) = K(x,L(y,z,L(w,u,v5))). [para(8991(a,1),13512(a,1,2))]. given #12788 (H,wt=20): 13514 K(x,L(y,z,K(u,w) * v5)) = K(x,L(y,z,L(v5,u,w))). [hyper(58,a,11066,a(flip),b,13513,a)]. given #12789 (H,wt=16): 13515 K(x,L(y,z,L(u,w,v5))) = K(x,L(y,z,u)). [hyper(58,a,11607,a(flip),b,13514,a),flip(a)]. given #12790 (H,wt=16): 13516 K(x,L(y,L(z,u,w),v5)) = K(x,L(y,v5,z)). [hyper(10685,a,13515,a)]. given #12791 (H,wt=28): 13501 T(a(x,y,z),(u / T(w,v5)) * v6) = a(z,x,K(y,u * (v6 * w))) * a(x,y,z). [para(12658(a,1),13476(a,1,1)),flip(a)]. given #12792 (H,wt=23): 13518 T(a(x,y,z),(u / T(w,v5)) * v6) = T(a(x,y,z),u * (v6 * w)). [hyper(272,a,10651,a(flip),b,13501,a),flip(a)]. given #12793 (H,wt=23): 13519 T(a(x,y,z),u * (T(w,v5) * v6)) = T(a(x,y,z),u * (v6 * w)). [hyper(58,a,13500,a(flip),b,13518,a)]. given #12794 (H,wt=23): 13520 a(x,T(y,z * (T(u,w) * v5)),v6) = T(a(x,y,v6),z * (v5 * u)). [hyper(12272,a,13519,a)]. given #12795 (H,wt=23): 13521 a(x,T(y,z * (T(u,w) * v5)),v6) = a(x,T(y,z * (v5 * u)),v6). [hyper(272,a,12271,a,b,13520,a),flip(a)]. given #12796 (H,wt=23): 13522 a(x,y,T(z,u * (T(w,v5) * v6))) = a(x,T(y,u * (v6 * w)),z). [hyper(58,a,12373,a(flip),b,13521,a)]. given #12797 (H,wt=23): 13523 a(x,y,T(z,u * (T(w,v5) * v6))) = a(x,y,T(z,u * (v6 * w))). [hyper(272,a,12373,a(flip),b,13522,a),flip(a)]. given #12798 (H,wt=31): 13460 a(x,y,K(z,(u * (w / v5)) \ K(v5,v5 \ w))) = a(x,y,K(z,(v5 \ w) * T(u,w / v5))). [para(4589(a,1),13456(a,2,3,2))]. given #12799 (H,wt=29): 13525 a(x,y,K(z,(u * (w / v5)) \ K(w,v5))) = a(x,y,K(z,(v5 \ w) * T(u,w / v5))). [para(8530(a,1),13460(a,1,3))]. given #12800 (H,wt=29): 13526 a(x,y,K(z,(u / w) \ (v5 \ K(u,w)))) = a(x,y,K(z,(w \ u) * T(v5,u / w))). [hyper(58,a,12241,a(flip),b,13525,a)]. given #12801 (H,wt=29): 13527 a(x,y,K(z,(u / w) * (v5 \ K(w,u)))) = a(x,y,K(z,(u \ w) * T(v5,w / u))). [para(8606(a,1),13526(a,1,3))]. given #12802 (H,wt=29): 13528 a(x,y,K(z,(u \ w) * T(v5,w / u))) = a(x,y,K(z,u * ((v5 \ K(w,u)) * w))). [hyper(58,a,13465,a(flip),b,13527,a),flip(a)]. given #12803 (H,wt=29): 13529 a(x,y,K(z,(u \ w) * T(v5,w / u))) = a(x,y,K(z,u * (K(w,u) * (v5 \ w)))). [para(12736(a,1),13528(a,2,3))]. given #12804 (H,wt=27): 13530 a(x,y,K(z,(u \ w) * T(v5,w / u))) = a(x,y,K(z,T(u,w) * (v5 \ w))). [para(2661(a,1),13529(a,2,3,2))]. given #12805 (H,wt=27): 13531 a(x,y,K(z,(u \ w) * T(v5,w / u))) = a(x,y,K(z,w * (u / T(v5,w)))). [para(11898(a,1),13530(a,2,3))]. given #12806 (H,wt=27): 13532 a(x,y,K(z,(u \ w) * T(v5,w / u))) = a(x,y,K(z,w * (T(v5,w) * u))). [hyper(272,a,13474,a(flip),b,13531,a),flip(a)]. given #12807 (H,wt=25): 13533 a(x,y,K(z,(u \ w) * T(v5,w / u))) = a(x,y,K(z,v5 * (w * u))). [para(11900(a,1),13532(a,2,3))]. given #12808 (H,wt=25): 13534 a(x,y,K(z,(u \ w) * T(v5,u \ w))) = a(x,y,K(z,v5 * (w * u))). [para(11344(a,1),13533(a,1,3))]. given #12809 (H,wt=21): 13535 a(x,y,K(z,u * (w \ v5))) = a(x,y,K(z,u * (v5 * w))). [para(98(a,1),13534(a,1,3,2))]. given #12810 (H,wt=31): 13524 a(x,K(y,z \ 1) * u,T(w,z * (u * z))) = a(x,K(y,z \ 1) * u,T(w,z * z)). [hyper(58,a,12590,a(flip),b,13523,a),flip(a)]. given #12811 (H,wt=27): 13537 a(x,K(y,z \ 1) * u,T(w,z * z)) = a(x,K(y,z \ 1) * u,T(w,u)). [hyper(58,a,13499,a(flip),b,13524,a),flip(a)]. given #12812 (H,wt=25): 13539 a(x,K(y,z \ 1) * u,T(w,z * z)) = a(x,u * K(y,z \ 1),w). [hyper(272,a,12383,a(flip),b,13537,a),flip(a)]. given #12813 (H,wt=23): 13540 a(x,K(y,z \ 1) * u,T(w,z * z)) = a(x,u * K(y,z),w). [hyper(272,a,9337,a(flip),b,13539,a),flip(a)]. given #12814 (H,wt=22): 13541 a(x,K(y,z \ 1) * u,L(w,z,z)) = a(x,u * K(y,z),w). [para(2952(a,1),13540(a,1,3))]. given #12815 (H,wt=19): 13542 a(x,K(y,z \ 1) * u,w) = a(x,u * K(y,z),w). [hyper(58,a,9247,a(flip),b,13541,a)]. given #12816 (H,wt=13): 13543 a(x,y * K(z,x),u) = a(x,y,u). [hyper(11090,a,13542,a),flip(a)]. given #12817 (H,wt=13): 13545 a(x,y * K(x,z),u) = a(x,y,u). [para(28(a,1),13543(a,1,2,2))]. given #12818 (H,wt=15): 13546 a(x,y / T(x,z),u) = a(x,x \ y,u). [hyper(58,a,9031,a(flip),b,13545,a)]. given #12819 (H,wt=21): 13548 L(x,T(y,z) \ u,T(y,z)) = a(y,y \ u,T(x,z)) \ x. [para(13546(a,1),12429(a,1,1)),flip(a)]. given #12820 (H,wt=19): 13549 L(x,T(y,z) \ u,T(y,z)) = L(x,y \ u,T(y,z)). [hyper(272,a,12372,a(flip),b,13548,a),flip(a)]. given #12821 (H,wt=23): 13551 L(x,T(y,z) \ u,T(T(y,z),z)) = L(x,y \ u,T(T(y,z),z)). [para(2765(a,1),13549(a,1,2,1)),flip(a)]. given #12822 (H,wt=19): 13553 L(x,T(y,z) \ u,T(T(y,z),z)) = L(x,y \ u,y). [para(2765(a,1),13551(a,2,3))]. given #12823 (H,wt=15): 13554 L(x,T(y,z) \ u,y) = L(x,y \ u,y). [para(2765(a,1),13553(a,1,3))]. given #12824 (H,wt=15): 13556 L(x,y / T(z,u),z) = L(x,z \ y,z). [hyper(58,a,11685,a,b,13554,a)]. given #12825 (H,wt=17): 13555 R(x,y,z \ (T(y,u) \ 1)) = L(x,y \ z,y). [hyper(58,a,13161,a,b,13554,a)]. given #12826 (H,wt=21): 13560 L(x,y \ (K(y \ 1,z) / u),y) = L(x,y \ (1 / u),y). [hyper(58,a,13162,a(flip),b,13555,a)]. given #12827 (H,wt=19): 13562 L(x,y \ (K(y \ 1,z) / u),y) = R(x,y,y \ u). [hyper(272,a,8885,a(flip),b,13560,a),flip(a)]. given #12828 (H,wt=19): 13563 L(x,y \ (K(z,y \ 1) / u),y) = R(x,y,y \ u). [para(28(a,1),13562(a,1,2,2,1))]. given #12829 (H,wt=17): 13564 L(x,y \ (z \ K(y,u)),y) = R(x,y,y \ z). [hyper(58,a,11691,a(flip),b,13563,a)]. given #12830 (H,wt=27): 13552 L(x,T(1 / y,z) \ u,z / (z * y)) = L(x,(1 / y) \ u,T(1 / y,z)). [para(3031(a,1),13549(a,1,3))]. given #12831 (H,wt=27): 13565 L(x,T(1 / y,z) \ u,z \ (y \ z)) = L(x,(1 / y) \ u,T(1 / y,z)). [hyper(58,a,8975,a(flip),b,13552,a)]. given #12832 (H,wt=32): 13450 a(x,T(1 / y,L(z,u,w)),K(z * (a(z,u,w) \ y),v5)) = a(x,y * a(z,u,w),K(z,v5)). [hyper(58,a,13167,a,b,13448,a)]. given #12833 (H,wt=32): 13566 a(x,T(1 / y,L(z,u,w)),K(v5,z * (a(z,u,w) \ y))) = a(x,y * a(z,u,w),K(z,v5)). [para(28(a,1),13450(a,1,3))]. given #12834 (H,wt=32): 13567 a(x,T(1 / y,L(z,u,w)),K(v5,z * (y * a(z,u,w)))) = a(x,y * a(z,u,w),K(z,v5)). [hyper(58,a,13535,a(flip),b,13566,a)]. given #12835 (H,wt=32): 13568 a(x,1 / y,T(K(z,u * (y * a(u,w,v5))),L(u,w,v5))) = a(x,y * a(u,w,v5),K(u,z)). [hyper(58,a,12373,a(flip),b,13567,a)]. given #12836 (H,wt=32): 13569 a(x,1 / y,K(z,T(u * (y * a(u,w,v5)),L(u,w,v5)))) = a(x,y * a(u,w,v5),K(u,z)). [para(5238(a,2),13568(a,1,3))]. given #12837 (H,wt=29): 13570 a(x,1 / y,K(z,T(u * (y * a(u,w,v5)),u))) = a(x,y * a(u,w,v5),K(u,z)). [para(11009(a,1),13569(a,1,3))]. given #12838 (H,wt=27): 13571 a(x,1 / y,K(z,(y * a(u,w,v5)) * u)) = a(x,y * a(u,w,v5),K(u,z)). [para(6064(a,1),13570(a,1,3))]. given #12839 (H,wt=27): 13573 a(x,1 / y,K(z,y * (u * a(u,w,v5)))) = a(x,y * a(u,w,v5),K(u,z)). [para(12947(a,1),13571(a,1,3,2))]. given #12840 (H,wt=27): 13574 a(x,1 * y,K(z,y * (u * a(u,w,v5)))) = a(x,y * a(u,w,v5),K(u,z)). [hyper(13461,a,13573,a)]. given #12841 (H,wt=25): 13575 a(x,y,K(z,y * (u * a(u,w,v5)))) = a(x,y * a(u,w,v5),K(u,z)). [para(2(a,1),13574(a,1,2))]. given #12842 (H,wt=23): 13576 a(x,y * a(z,u,w),K(z,v5)) = a(v5,z * a(z,u,w),K(x,y)). [hyper(58,a,10668,a(flip),b,13575,a),flip(a)]. given #12843 (H,wt=23): 13577 a(x,y * a(z,u,w),K(z,v5)) = a(v5,z * a(z,u,w),K(y,x)). [para(28(a,1),13576(a,2,3))]. given #12844 (H,wt=18): 13578 a(x,y * a(z,u,w),K(z,v5)) = a(x,v5,K(z,y)). [hyper(272,a,13452,a(flip),b,13577,a),flip(a)]. given #12845 (H,wt=34): 13558 L(L(x,y \ z,y),T(y,z * x),T(y,z * x)) = z \ ((L(y,x,z) * (z * x)) / T(y,z * x)). [para(13556(a,1),13358(a,1,1))]. given #12846 (H,wt=26): 13580 L(L(x,y \ z,y),y,y) = z \ ((L(y,x,z) * (z * x)) / T(y,z * x)). [hyper(6181,a,13558,a)]. given #12847 (H,wt=20): 13583 L(L(x,y \ z,y),y,y) = z \ (a(z,x,y) \ (z * x)). [para(12414(a,1),13580(a,2,2))]. given #12848 (H,wt=16): 13584 L(L(x,y \ z,y),y,y) = a(z,x,y) \ x. [hyper(272,a,12959,a(flip),b,13583,a),flip(a)]. given #12849 (H,wt=16): 13585 a(x,y,z) \ y = x \ ((x * (y * z)) / z). [hyper(58,a,13351,a(flip),b,13584,a),flip(a)]. given #12850 (H,wt=16): 13586 L(L(x,y,z),z,z) = a(z * y,x,z) \ x. [para(4(a,1),13584(a,1,1,2))]. given #12851 (H,wt=16): 13593 L(L(x,y,z),z,z) = a(z,z \ y,x) \ x. [para(13498(a,1),13586(a,2,1))]. given #12852 (H,wt=14): 13594 L(L(x,y,z),z,z) = L(x,z \ y,z). [hyper(272,a,12338,a,b,13593,a),flip(a)]. given #12853 (H,wt=15): 13597 L(x * x,y \ z,y) = L(x * x,z,y). [hyper(58,a,3382,a(flip),b,13594,a),flip(a)]. given #12854 (H,wt=17): 13595 L(L(x,y,z),z,z) != u | L(x,z \ y,z) = u. [para(13593(a,2),12351(a,1))]. given #12855 (H,wt=17): 13596 L(a(x,y,z),u \ w,u) = L(a(x,y,z),w,u). [hyper(58,a,10271,a(flip),b,13594,a),flip(a)]. given #12856 (H,wt=18): 13592 L(R(x,y,z \ 1),y,y) = a(y \ z,x,y) \ x. [para(10443(a,1),13584(a,1,1))]. given #12857 (H,wt=18): 13599 L(R(x,y,z),y,y) = a(y \ (z \ 1),x,y) \ x. [para(2619(a,1),13592(a,1,1))]. given #12858 (H,wt=14): 13600 L(R(x,y,z),y,y) = R(x,y,z * y). [hyper(272,a,12968,a(flip),b,13599,a),flip(a)]. given #12859 (H,wt=17): 13601 L(R(x,y,z),y,y) != u | R(x,y,z * y) = u. [para(13599(a,2),12999(a,1))]. given #12860 (H,wt=19): 13587 L(x,y,y) != a(z,u,y) \ u | L(u,y \ z,y) = x. [para(13584(a,1),45(a,1)),flip(a)]. given #12861 (H,wt=22): 13598 x \ ((x * ((y * y) / z)) / (1 / z)) = L(y * y,x,1 / z). [hyper(58,a,1174,a,b,13597,a)]. given #12862 (H,wt=20): 13602 x \ ((x / (y \ (y \ z))) * z) = L(y * y,x,1 / z). [para(13256(a,1),13598(a,1,2))]. given #12863 (H,wt=32): 13588 L(L(x,T(y,z),(1 / y) * z),(1 / y) * z,(1 / y) * z) = a(z,x,(1 / y) * z) \ x. [para(2261(a,2),13584(a,1,1,2))]. given #12864 (H,wt=30): 13603 L(L(x,T(y,z),y \ z),(1 / y) * z,(1 / y) * z) = a(z,x,(1 / y) * z) \ x. [para(8939(a,1),13588(a,1,1))]. given #12865 (H,wt=28): 13604 L(L(x,y,y \ z),(1 / y) * z,(1 / y) * z) = a(z,x,(1 / y) * z) \ x. [para(9996(a,1),13603(a,1,1))]. given #12866 (H,wt=24): 13605 L(L(x,y,y \ z),y \ z,y \ z) = a(z,x,(1 / y) * z) \ x. [hyper(58,a,9207,a(flip),b,13604,a)]. given #12867 (H,wt=24): 13606 L(L(x,y,y \ z),z * y,z * y) = a(z,x,(1 / y) * z) \ x. [hyper(58,a,13181,a(flip),b,13605,a)]. given #12868 (H,wt=32): 13590 L(L(x,(y \ (z * z)) \ z,z * z),z * z,z * z) = a((y \ 1) \ z,x,z * z) \ x. [para(4041(a,1),13584(a,1,1,2))]. given #12869 (H,wt=32): 13607 L(L(x,((y * y) \ z) * y,y * y),y * y,y * y) = a((z \ 1) \ y,x,y * y) \ x. [para(9981(a,1),13590(a,1,1))]. given #12870 (H,wt=28): 13608 L(L(x,y / z,z * z),z * z,z * z) = a((y \ 1) \ z,x,z * z) \ x. [para(3250(a,1),13607(a,1,1,2))]. given #12871 (H,wt=28): 13609 L(L(x,y \ z,y * y),y * y,y * y) = a((z \ 1) \ y,x,y * y) \ x. [para(12477(a,1),13608(a,1,1))]. given #12872 (H,wt=21): 13610 a((x \ 1) \ y,z,y * y) \ z = L(z,y \ x,y * y). [hyper(4398,a,13609,a),flip(a)]. given #12873 (H,wt=34): 13591 L(L(x,y \ z,(z * z) \ y),(z * z) \ y,(z * z) \ y) = a(1 / z,x,(z * z) \ y) \ x. [para(4631(a,1),13584(a,1,1,2))]. given #12874 (H,wt=34): 13612 L(L(x,y \ z,z \ (z \ y)),(z * z) \ y,(z * z) \ y) = a(1 / z,x,(z * z) \ y) \ x. [para(8938(a,1),13591(a,1,1))]. given #12875 (H,wt=30): 13613 L(R(x,y,y \ z),(z * z) \ y,(z * z) \ y) = a(1 / z,x,(z * z) \ y) \ x. [para(13084(a,1),13612(a,1,1))]. given #12876 (H,wt=30): 13614 L(R(x,y,y \ z),z \ (z \ y),z \ (z \ y)) = a(1 / z,x,(z * z) \ y) \ x. [hyper(58,a,9296,a(flip),b,13613,a)]. given #12877 (H,wt=30): 13615 L(R(x,y,y \ z),(z \ y) * z,(z \ y) * z) = a(1 / z,x,(z * z) \ y) \ x. [hyper(58,a,13181,a(flip),b,13614,a)]. given #12878 (H,wt=30): 13616 L(R(x,y,y \ z),z * (y / z),(z \ y) * z) = a(1 / z,x,(z * z) \ y) \ x. [para(2828(a,1),13615(a,1,2))]. given #12879 (H,wt=28): 13617 L(R(x,y,y \ z),z * (y / z),T(y,z)) = a(1 / z,x,(z * z) \ y) \ x. [hyper(58,a,8982,a(flip),b,13616,a)]. given #12880 (H,wt=22): 13618 L(R(x,y,y \ z),y,y) = a(1 / z,x,(z * z) \ y) \ x. [hyper(9227,a,13617,a)]. given #12881 (H,wt=21): 13619 R(x,y,(y \ z) * y) = a(1 / z,x,(z * z) \ y) \ x. [hyper(13601,a,13618,a)]. given #12882 (H,wt=21): 13621 R(x,y,y * (z / y)) = a(1 / z,x,(z * z) \ y) \ x. [para(2828(a,1),13619(a,1,3))]. given #12883 (H,wt=19): 13622 R(x,y,T(z,y)) = a(1 / z,x,(z * z) \ y) \ x. [hyper(58,a,8772,a(flip),b,13621,a)]. given #12884 (H,wt=17): 13623 R(x,y,z) = a(1 / z,x,(z * z) \ y) \ x. [hyper(58,a,8091,a(flip),b,13622,a)]. given #12885 (H,wt=17): 13624 R(x,y,z) = a(1 / z,x,z \ (z \ y)) \ x. [para(9246(a,1),13623(a,2,1))]. given #12886 (H,wt=17): 13625 R(x,y,z) = a(z \ 1,x,(z \ y) / z) \ x. [para(12430(a,1),13624(a,2,1))]. given #12887 (H,wt=17): 13626 R(x,y,z) = a(z \ 1,x,z \ (y / z)) \ x. [para(9241(a,1),13625(a,2,1))]. given #12888 (H,wt=13): 13627 R(x,y,z) = a(y \ 1,z,x) \ x. [para(13087(a,1),13626(a,2,1))]. given #12889 (H,wt=11): 13628 R(x,y,z) = L(x,z,y \ 1). [hyper(272,a,12338,a,b,13627,a),flip(a)]. given #12890 (H,wt=11): 13629 R(x,y,z) = x * a(z,x,y). [hyper(272,a,12340,a(flip),b,13627,a),flip(a)]. given #12891 (H,wt=9): 13641 a(x,y,z) = a(z,x,y). [hyper(12989,a,13629,a)]. given #12892 (H,wt=11): 13630 a(x,y,z) = y \ R(y,z,x). [hyper(112,a,13627,a,b,12340,a(flip)),flip(a)]. given #12893 (H,wt=11): 13634 R(x,y,z) = L(x,z,1 / y). [hyper(272,a,2449,a,b,13628,a),flip(a)]. given #12894 (H,wt=11): 13648 a(x,y,z) = z \ R(z,x,y). [hyper(272,a,12967,a(flip),b,13641,a),flip(a)]. given #12895 (H,wt=11): 13655 R(x,y,z) = x * a(y,z,x). [hyper(114,a,13641,a,b,12967,a(flip)),flip(a)]. given #12896 (H,wt=11): 13660 a(x,y,z) * L(x,z,y) = x. [para(13641(a,1),12337(a,1,1))]. given #12897 (H,wt=11): 13661 L(x,y,z) = a(x,z,y) \ x. [para(13641(a,1),12338(a,2,1))]. given #12898 (H,wt=11): 13662 L(x,y,z) = a(y,x,z) \ x. [para(13641(a,2),12338(a,2,1))]. given #12899 (H,wt=11): 13709 L(x,y,z) = R(x,z,y \ 1). [hyper(272,a,12969,a,b,13662,a),flip(a)]. given #12900 (H,wt=11): 13717 R(x,y,z) = L(x,z \ 1,y). [hyper(272,a,2619,a(flip),b,13709,a)]. given #12901 (H,wt=11): 13718 R(x,y,z) = L(x,1 / z,y). [para(74(a,1),13709(a,2,3)),flip(a)]. given #12902 (H,wt=12): 13691 a(x,y,z) != u | a(y,z,x) = u. [para(13630(a,2),12990(a,1))]. given #12903 (H,wt=12): 13693 a(x,y,z) != u | a(z,x,y) = u. [para(13648(a,2),12990(a,1))]. given #12904 (H,wt=12): 13696 a(x,y,R(z,x,y)) = a(x,y,z). [para(13655(a,2),12952(a,1,3))]. given #12905 (H,wt=13): 13633 R(x,y,z) = L(x,z,z \ (y \ z)). [hyper(272,a,9074,a,b,13628,a),flip(a)]. given #12906 (H,wt=13): 13637 R(x,y \ z,u) = L(x,u,z \ y). [hyper(272,a,9097,a(flip),b,13628,a),flip(a)]. given #12907 (H,wt=13): 13643 a(x,y \ 1,z) = a(x,y,z \ 1). [hyper(12453,a,13641,a),flip(a)]. given #12908 (H,wt=13): 13644 a(x \ 1,y,z) = a(z \ 1,x,y). [hyper(12403,a,13641,a),flip(a)]. given #12909 (H,wt=13): 13650 a(x,y \ 1,z) = a(y,z,x) \ 1. [hyper(272,a,12394,a(flip),b,13641,a),flip(a)]. given #12910 (H,wt=13): 13651 a(x,y,z \ 1) = 1 / a(x,y,z). [hyper(272,a,12339,a(flip),b,13641,a),flip(a)]. given #12911 (H,wt=13): 13652 a(x,y,z \ 1) = a(x,y,z) \ 1. [hyper(272,a,12320,a(flip),b,13641,a),flip(a)]. given #12912 (H,wt=13): 13653 a(x,y,z \ 1) = z \ L(z,y,x). [hyper(272,a,1181,a(flip),b,13641,a),flip(a)]. given #12913 (H,wt=13): 13656 L(x,y,z) \ 1 = x \ a(y,x,z). [hyper(112,a,13641,a,b,12332,a(flip)),flip(a)]. given #12914 (H,wt=13): 13658 a(x,y,z) \ u = a(z,x,y) \ u. [hyper(56,a,13641,a)]. given #12915 (H,wt=13): 13694 R(x,y,z) \ x = x \ L(x,z,y). [para(13655(a,2),12321(a,1,1))]. given #12916 (H,wt=13): 13699 L(x \ 1,y,z) = L(x,y,z) \ 1. [hyper(272,a,8318,a(flip),b,13661,a),flip(a)]. given #12917 (H,wt=13): 13701 L(1 / x,y,z) = 1 / L(x,y,z). [hyper(8153,a,13661,a(flip)),flip(a)]. given #12918 (H,wt=13): 13708 L(x,T(y,z),z) = a(y,x,z) \ x. [hyper(9536,a,13662,a)]. given #12919 (H,wt=13): 13712 R(x,y,z) = a(z,x,1 / y) \ x. [hyper(58,a,13634,a,b,13662,a)]. given #12920 (H,wt=13): 13715 L(x,y \ 1,z \ 1) = L(x,y,z). [hyper(272,a,13628,a(flip),b,13709,a)]. given #12921 (H,wt=13): 13716 R(x,y,z / u) = L(x,u / z,y). [hyper(272,a,10418,a(flip),b,13709,a)]. given #12922 (H,wt=13): 13721 L(x,(y * z) \ y,u) = R(x,u,z). [hyper(272,a,9988,a,b,13717,a)]. given #12923 (H,wt=13): 13722 R(x,y,z \ u) = L(x,u \ z,y). [hyper(272,a,9982,a(flip),b,13717,a),flip(a)]. given #12924 (H,wt=13): 13737 x / R(x,y,z) = x \ L(x,z,y). [hyper(58,a,2401,a,b,13694,a)]. given #12925 (H,wt=13): 13746 L(x,1 / y,z \ 1) = L(x,y,z). [hyper(58,a,2461,a,b,13715,a)]. given #12926 (H,wt=14): 13631 R(x,y,z) != u | L(x,z,y \ 1) = u. [para(13627(a,2),12351(a,1))]. given #12927 (H,wt=14): 13639 x \ R(x,y,z) != u | a(z,x,y) = u. [para(13628(a,2),12405(a,1,2))]. given #12928 (H,wt=14): 13663 a(x,y,z) \ x != u | L(x,z,y) = u. [para(13641(a,1),12351(a,1,1))]. given #12929 (H,wt=14): 13664 a(x,y,z) \ y != u | L(y,x,z) = u. [para(13641(a,2),12351(a,1,1))]. given #12930 (H,wt=14): 13681 a(x,y,z) * z != u | R(z,x,y) = u. [para(13641(a,2),12965(a,1,1))]. given #12931 (H,wt=14): 13682 a(x,y,z) != z \ u | R(z,x,y) = u. [para(13641(a,2),12984(a,1))]. given #12932 (H,wt=14): 13695 x * (y * R(z,x,y)) = (x * y) * z. [para(13655(a,2),12943(a,1,2,2))]. given #12933 (H,wt=9): 13755 R(L(x,y,z),z,y) = x. [hyper(904,a,13695,a(flip))]. given #12934 (H,wt=9): 13756 L(R(x,y,z),z,y) = x. [hyper(429,a,13695,a(flip))]. given #12935 (H,wt=12): 13760 L(x,y,z) != u | R(u,z,y) = x. [para(13756(a,1),45(a,1)),flip(a)]. given #12936 (H,wt=13): 13761 x != y | R(y,z,K(u \ 1,u)) = x. [para(2107(a,1),13760(a,1))]. given #12937 (H,wt=14): 13710 L(x,y,z) = y \ ((y * (x * z)) / z). [hyper(272,a,13585,a(flip),b,13662,a),flip(a)]. given #12938 (H,wt=14): 13713 L(x,y,z) != u \ x | a(y,x,z) = u. [para(13662(a,2),43(a,1))]. given #12939 (H,wt=14): 13731 L(R(x,y,z),z,z) = L(x,z,y \ z). [hyper(58,a,9515,a,b,13637,a)]. given #12940 (H,wt=14): 13736 a(x,x,y \ 1) != z | a(y,x,x) = z. [para(13653(a,2),4249(a,1))]. given #12941 (H,wt=14): 13753 R(x,y,z \ 1) != u | L(x,z,y) = u. [para(12969(a,2),13664(a,1))]. given #12942 (H,wt=14): 13754 L(x,T(y,z),z) != u | L(x,y,z) = u. [para(13708(a,2),13664(a,1))]. given #12943 (H,wt=14): 13757 R(x,y,z) = z \ (y \ ((y * z) * x)). [para(13695(a,1),62(a,1,2,2)),flip(a)]. given #12944 (H,wt=14): 13758 (L(x,y,z) * z) * y = x * (z * y). [para(13755(a,1),93(a,1,1)),flip(a)]. given #12945 (H,wt=14): 13759 (x * (y * z)) / z = L(x,z,y) * y. [para(13755(a,1),257(a,1,1,1))]. given #12946 (H,wt=15): 13636 L(x,y,z \ (u \ 1)) = R(x,u * z,y). [hyper(272,a,9100,a(flip),b,13628,a)]. given #12947 (H,wt=15): 13642 a(x,y \ z,u \ 1) = a(x,z \ y,u). [hyper(12454,a,13641,a)]. given #12948 (H,wt=15): 13645 a(x,y \ z,u \ 1) = a(u,x,z \ y). [hyper(272,a,12400,a,b,13641,a)]. given #12949 (H,wt=15): 13647 a(x,y * (z \ y),y) = a(x,z \ 1,y). [hyper(272,a,13025,a(flip),b,13641,a),flip(a)]. given #12950 (H,wt=15): 13654 x * a(x,y \ z,u) = L(x,u,z \ y). [hyper(114,a,13641,a,b,12392,a)]. given #12951 (H,wt=15): 13665 (x \ L(x,y,z)) \ u = a(x,z,y) * u. [para(13641(a,1),12325(a,2,1))]. given #12952 (H,wt=15): 13667 L(x,y,z) * (x \ u) = a(x,z,y) \ u. [para(13641(a,1),12346(a,2,1))]. given #12953 (H,wt=15): 13669 a(x,y,z \ 1) \ u = a(x,y,z) * u. [para(13641(a,2),12359(a,1,1))]. given #12954 (H,wt=15): 13672 a(x,y,z) \ (x * u) = L(x,z,y) * u. [para(13641(a,1),12408(a,1,1))]. given #12955 (H,wt=15): 13673 x * (a(x,y,z) \ u) = L(x,z,y) * u. [para(13641(a,1),12416(a,1,2,1))]. given #12956 (H,wt=15): 13674 x * (a(y,x,z) \ u) = L(x,y,z) * u. [para(13641(a,2),12416(a,1,2,1))]. given #12957 (H,wt=15): 13675 (x / L(y,z,u)) * y = x * a(y,u,z). [para(13641(a,1),12425(a,2,2))]. given #12958 (H,wt=15): 13697 L(x,y,x * z) * z = L(x * z,x,y). [hyper(12421,a,13660,a)]. given #12959 (H,wt=15): 13711 L(x,y \ (z \ 1),u) = R(x,u,z * y). [hyper(272,a,12968,a(flip),b,13662,a),flip(a)]. given #12960 (H,wt=15): 13734 a(x,y,x * (z \ x)) = a(y,z,x \ 1). [hyper(58,a,13025,a,b,13643,a)]. given #12961 (H,wt=15): 13744 L(x,y \ (z * y),y) = a(z,x,y) \ x. [para(17(a,1),13708(a,1,2))]. given #12962 (H,wt=15): 13748 L(x,y \ (z \ 1),z) = L(x,y \ z,z). [hyper(58,a,13126,a,b,13722,a)]. given #12963 (H,wt=13): 13783 R(x,y,y * z) = L(x,z \ y,y). [hyper(58,a,13711,a(flip),b,13748,a)]. given #12964 (H,wt=13): 13784 R(x,y,z * y) = L(x,z \ y,y). [hyper(58,a,8756,a,b,13783,a)]. given #12965 (H,wt=15): 13775 a(x,y * (z \ y),y) = a(x,z,y \ 1). [hyper(272,a,13643,a(flip),b,13647,a),flip(a)]. given #12966 (H,wt=15): 13780 x \ L(x * y,y,z) = L(y,z,y * x). [hyper(30,a,2490,a,b,13697,a)]. given #12967 (H,wt=16): 13635 R(R(x,y,z),y,z \ (y \ 1)) = L(x,y,y). [hyper(272,a,10027,a(flip),b,13628,a),flip(a)]. given #12968 (H,wt=16): 13659 a(x,y,z \ 1) != u | z \ L(z,y,x) = u. [para(13641(a,2),1187(a,1))]. given #12969 (H,wt=16): 13676 a(x,y \ 1,z) != u | a(x,y,z \ 1) = u. [para(13641(a,1),12453(a,1))]. given #12970 (H,wt=16): 13703 L(1 / x,y,z) != u | 1 / L(x,y,z) = u. [para(13661(a,2),8153(a,1))]. given #12971 (H,wt=16): 13725 a(x,y,z) \ 1 != u | a(x,y,z \ 1) = u. [para(12320(a,1),13691(a,1))]. given #12972 (H,wt=16): 13728 a(x,y,K(z,u)) != w | a(K(z,x),y,u) = w. [para(10639(a,1),13693(a,1))]. given #12973 (H,wt=16): 13729 a(x \ 1,y,z) != u | a(y \ 1,z,x) = u. [para(12395(a,2),13693(a,1))]. given #12974 (H,wt=16): 13735 a(x,y,z \ 1) != z \ u | L(z,y,x) = u. [para(13653(a,2),42(a,1))]. given #12975 (H,wt=16): 13749 L(x,y \ z,z) * y = (x * z) * (z \ y). [para(13722(a,1),447(a,1,1))]. given #12976 (H,wt=16): 13751 L(x,y,1 / z) != u | L(x,y,z \ 1) = u. [para(13634(a,1),13631(a,1))]. given #12977 (H,wt=16): 13752 L(x,y,z) \ 1 != u | L(x \ 1,y,z) = u. [para(8318(a,1),13663(a,1))]. given #12978 (H,wt=16): 13764 R(x,y,z / u) != w | L(x,u / z,y) = w. [para(10418(a,1),13753(a,1))]. given #12979 (H,wt=16): 13766 L(x,y \ z,y) != u | L(x,z / y,y) = u. [para(100(a,1),13754(a,1,2))]. given #12980 (H,wt=16): 13767 L(x,y / z,z) != u | L(x,z \ y,z) = u. [para(2775(a,1),13754(a,1,2))]. given #12981 (H,wt=16): 13770 L(x,y / z,y) != u | L(x,z \ y,y) = u. [para(9990(a,1),13754(a,1))]. given #12982 (H,wt=16): 13773 (x * T(x * y,y)) / x = L(x * y,y,x). [hyper(4618,a,13759,a)]. given #12983 (H,wt=14): 13791 T(T(x * y,y),x) = L(x * y,y,x). [hyper(2785,a,13773,a)]. given #12984 (H,wt=14): 13792 L(x * y,y,x) = ((1 / y) / x) \ 1. [hyper(3598,a,13791,a),flip(a)]. given #12985 (H,wt=16): 13778 (x * (a(x,y,z) \ y)) * z = x * (y * z). [para(13673(a,2),13758(a,1,1))]. given #12986 (H,wt=14): 13794 (x * L(y,x,z)) * z = x * (y * z). [para(13662(a,2),13778(a,1,1,2))]. given #12987 (H,wt=12): 13795 (1 / L(x,x,y)) \ y = x * y. [hyper(12077,a,13794,a)]. given #12988 (H,wt=16): 13782 L(L(x,y * z,z),z,z) = a(y,x,z) \ x. [hyper(58,a,13594,a,b,13744,a)]. given #12989 (H,wt=13): 13797 L(x,y \ z,y) = L(x,z * y,y). [hyper(13587,a,13782,a)]. given #12990 (H,wt=13): 13799 L(x,y / z,z) = L(x,y * z,z). [hyper(13766,a,13797,a)]. given #12991 (H,wt=15): 13800 L(x * x,y * z,z) = L(x * x,y,z). [hyper(58,a,13597,a(flip),b,13797,a),flip(a)]. given #12992 (H,wt=16): 13785 L(R(x,y,z),(y \ 1) \ z,y) = L(x,y,y). [hyper(58,a,13722,a(flip),b,13635,a)]. given #12993 (H,wt=14): 13801 L(R(x,y,z),y * z,y) = L(x,y,y). [hyper(9259,a,13785,a)]. given #12994 (H,wt=17): 13638 (x * R(y,z,u)) \ (x * y) = a(z \ 1,u,y). [para(13628(a,2),12426(a,1,1,2))]. given #12995 (H,wt=17): 13649 a(x,y * z,u \ 1) = a(u,x,z \ (y \ 1)). [hyper(272,a,12399,a(flip),b,13641,a)]. given #12996 (H,wt=17): 13680 a(x,y,z) \ L(x,u,y) = L(L(x,u,y),z,y). [para(13641(a,1),12942(a,1,1))]. given #12997 (H,wt=12): 13804 a(x,L(y,z,u),u) = a(y,u,x). [hyper(34,a,13662,a(flip),b,13680,a)]. given #12998 (H,wt=17): 13739 L(T(x \ 1,y),z,u) = T(L(x,z,u) \ 1,y). [para(13699(a,1),20(a,2,1))]. given #12999 (H,wt=17): 13745 L(x,y \ (z \ 1),u \ 1) = L(x,z * y,u). [hyper(10494,a,13715,a)]. given #13000 (H,wt=17): 13747 L(x,(y * z) \ y,u) = a(z,x,1 / u) \ x. [hyper(272,a,13712,a(flip),b,13721,a),flip(a)]. given #13001 (H,wt=17): 13772 (L(x,y,z) * z) * y != u * (z * y) | x = u. [para(13758(a,2),39(a,1))]. given #13002 (H,wt=17): 13774 ((x * (y * z)) / z) / y != u | L(x,z,y) = u. [para(13759(a,2),279(a,1,1))]. given #13003 (H,wt=17): 13787 T(1 / x,y * y) != z | 1 / L(x,y,y) = z. [para(2952(a,2),13703(a,1))]. given #13004 (H,wt=17): 13803 (x * R(y,z,u)) \ (x * y) = a(u \ 1,y,z). [hyper(272,a,13644,a,b,13638,a),flip(a)]. given #13005 (H,wt=15): 13810 (x * y) * a(y,z,u) = x * R(y,z,u). [hyper(34,a,12342,a,b,13803,a)]. given #13006 (H,wt=15): 13812 (x / y) * R(y,z,u) = x * a(y,z,u). [hyper(278,a,13810,a),flip(a)]. given #13007 (H,wt=17): 13809 R(x,y,(y * z) * y) = a(z,x,1 / y) \ x. [hyper(58,a,13784,a,b,13747,a)]. given #13008 (H,wt=18): 13714 L(x,y \ (z \ 1),u) != w | R(x,u,z * y) = w. [para(13662(a,2),12999(a,1))]. given #13009 (H,wt=18): 13726 a(x,y \ z,u \ 1) != w | a(u,x,z \ y) = w. [para(12400(a,2),13691(a,1))]. given #13010 (H,wt=18): 13738 (x * y) * (L(z,y,x) \ 1) = x * (y * (z \ 1)). [hyper(114,a,13699,a(flip),b,13,a(flip))]. given #13011 (H,wt=18): 13776 a(x,y \ 1,z) != u | a(z,x,z * (y \ z)) = u. [para(13647(a,1),13693(a,1))]. given #13012 (H,wt=18): 13777 x \ y != a(z,u,w) * y | z \ L(z,w,u) = x. [para(13665(a,1),43(a,1)),flip(a)]. given #13013 (H,wt=18): 13786 a(x,y,x * (z \ x)) != u | a(y,z,x \ 1) = u. [para(13025(a,2),13676(a,1))]. given #13014 (H,wt=18): 13793 x \ L(x * y,y,x) = x * (((1 / y) * x) \ 1). [para(13792(a,2),3461(a,1,2))]. given #13015 (H,wt=16): 13820 L(x,y,x * y) = y * (((1 / x) * y) \ 1). [hyper(58,a,13780,a(flip),b,13793,a)]. given #13016 (H,wt=18): 13798 L(L(x,y \ z,z),z,z) = a(1 / y,x,z) \ x. [para(9194(a,1),13782(a,1,1))]. given #13017 (H,wt=17): 13822 L(x,y \ (z \ y),y) = a(1 / z,x,y) \ x. [hyper(13595,a,13798,a)]. given #13018 (H,wt=17): 13823 L(x,(y \ z) * z,z) = a(1 / y,x,z) \ x. [hyper(58,a,13797,a(flip),b,13822,a)]. given #13019 (H,wt=17): 13824 L(x,y * (z \ y),y) = a(1 / z,x,y) \ x. [hyper(9262,a,13823,a)]. given #13020 (H,wt=17): 13825 L(x,y * (z \ y),y) = a(x,y,1 / z) \ x. [hyper(272,a,13658,a,b,13824,a),flip(a)]. given #13021 (H,wt=17): 13826 L(x,y * (z \ y),y) = a(x,y,z \ 1) \ x. [para(2601(a,1),13825(a,2,1))]. given #13022 (H,wt=15): 13827 L(x,y * (z \ y),y) = L(x,z \ 1,y). [hyper(272,a,13661,a,b,13826,a),flip(a)]. given #13023 (H,wt=13): 13828 R(x,y,z) = L(x,y * (z \ y),y). [hyper(272,a,13717,a,b,13827,a)]. given #13024 (H,wt=18): 13818 L(R(x,y,y * z),y,y) = a(z,x,1 / y) \ x. [hyper(58,a,13600,a,b,13809,a)]. given #13025 (H,wt=19): 13683 L(x,y,z) \ R(x,u,w) = a(x,z,y) * a(x,u,w). [para(13641(a,1),12977(a,2,1))]. given #13026 (H,wt=19): 13742 L(a(x \ 1,y,z),u,w) = L(a(y,z,x),u,w) \ 1. [para(12320(a,2),13699(a,1,1))]. given #13027 (H,wt=19): 13743 L(a(x,y,z \ 1),u,w) = L(a(z,x,y),u,w) \ 1. [para(12394(a,2),13699(a,1,1))]. given #13028 (H,wt=19): 13805 R(x,y,z) \ L(x,u,y) = x \ L(L(x,u,y),z,y). [hyper(112,a,13680,a(flip),b,13018,a),flip(a)]. given #13029 (H,wt=19): 13814 (x * (y \ 1)) / a(z,u,y) = x * R(y \ 1,z,u). [hyper(58,a,12360,a(flip),b,13810,a)]. given #13030 (H,wt=19): 13831 R(x,y,z) \ L(x,u,y) = x \ L(L(x,z,y),u,y). [para(25(a,1),13805(a,2,2))]. given #13031 (H,wt=20): 13632 x \ ((x / (y \ (y \ z))) * z) = R(y * y,z,z * x). [hyper(272,a,13337,a,b,13628,a)]. given #13032 (H,wt=20): 13720 (L(x,y,z) * u) * a(y,x,z) = x * L(u,z,K(x,y)). [para(13709(a,2),13132(a,1,1,1))]. given #13033 (H,wt=20): 13727 a(x,y * z,u \ 1) != w | a(u,x,z \ (y \ 1)) = w. [para(12399(a,1),13691(a,1))]. given #13034 (H,wt=20): 13730 (L(x,y,z) * u) \ (x * u) != w | a(x,z,T(y,u)) = w. [para(13484(a,2),13693(a,1))]. given #13035 (H,wt=20): 13790 L(x,y \ (z / y),y) != u | L(x,y \ (y \ z),y) = u. [para(9208(a,1),13767(a,1))]. given #13036 (H,wt=20): 13833 x \ ((x / (y \ (y \ z))) * z) = L(y * y,x \ z,z). [hyper(272,a,13783,a(flip),b,13632,a),flip(a)]. given #13037 (H,wt=17): 13835 L(x * x,y \ z,z) = L(x * x,y,1 / z). [hyper(58,a,13602,a(flip),b,13833,a),flip(a)]. given #13038 (H,wt=15): 13836 L(x * x,y \ z,z) = R(x * x,z,y). [hyper(272,a,13634,a,b,13835,a),flip(a)]. given #13039 (H,wt=20): 13834 (L(x,y,z) * u) * a(x,z,y) = x * L(u,z,K(x,y)). [para(13641(a,2),13720(a,1,2))]. given #13040 (H,wt=20): 13837 L(x,y,z) * (u * a(x,z,y)) = x * L(u,z,K(x,y)). [hyper(58,a,12937,a(flip),b,13834,a)]. given #13041 (H,wt=21): 13678 x * (x * (y / L(x * x,z,u))) = y * a(z,x * x,u). [para(13641(a,2),12445(a,2,2))]. given #13042 (H,wt=21): 13684 x \ (x \ (y * R(x * x,z,u))) = y * a(z,u,x * x). [para(13641(a,2),13015(a,2,2))]. given #13043 (H,wt=21): 13685 a(x,y,z) \ a(u,w,x \ 1) = R(x,y,z) \ L(x,w,u). [para(13641(a,2),13019(a,1,2))]. given #13044 (H,wt=21): 13686 a(x,y,z) \ (1 / a(x,u,w)) = R(x,y,z) \ L(x,w,u). [para(13641(a,1),13070(a,1,2,2))]. given #13045 (H,wt=21): 13687 a(x,y,z) \ (1 / a(u,x,w)) = R(x,y,z) \ L(x,u,w). [para(13641(a,2),13070(a,1,2,2))]. given #13046 (H,wt=21): 13688 a(x,y,z * z) \ (z \ (z \ u)) = u / R(z * z,x,y). [para(13641(a,2),13095(a,1,1))]. given #13047 (H,wt=21): 13689 x \ (x \ (y * L(x * x,z,u))) = a(z,x * x,u) \ y. [para(13641(a,2),13138(a,2,1))]. given #13048 (H,wt=21): 13690 a(x,y * y,(z \ 1) \ y) \ x = L(x,y \ z,y * y). [para(13641(a,2),13610(a,1,1))]. given #13049 (H,wt=19): 13839 a(x,y * y,z * y) \ x = L(x,y \ z,y * y). [para(9242(a,1),13690(a,1,1))]. given #13050 (H,wt=17): 13840 L(x,y \ z,y * y) = L(x,z * y,y * y). [hyper(13663,a,13839,a),flip(a)]. given #13051 (H,wt=21): 13706 x / (a(x,y,z) * R(x,y,z)) = R(x,y,z) \ L(x,z,y). [para(13661(a,2),13104(a,2,2))]. given #13052 (H,wt=21): 13719 a(x,y,z) \ a(x,u,w \ 1) = R(x,y,z) \ L(x,w,u). [para(13709(a,2),13021(a,2,2))]. given #13053 (H,wt=21): 13763 (x * y) \ (x * ((y * (z * u)) / u)) = L(L(z,y,u),y,x). [para(13710(a,2),89(a,1,1)),flip(a)]. given #13054 (H,wt=21): 13806 L(x,y,z) * (a(x,z,u) \ w) = L(L(x,y,z),u,z) * w. [para(13804(a,1),13674(a,1,2,1))]. given #13055 (H,wt=21): 13807 L(T((x / y) \ 1,y),z,u) = (y * L(y \ x,z,u)) \ y. [hyper(272,a,2278,a(flip),b,13739,a),flip(a)]. given #13056 (H,wt=17): 13843 (x * L(x \ y,z,u)) \ x = L(y \ x,z,u). [para(2257(a,1),13807(a,1,1)),flip(a)]. given #13057 (H,wt=21): 13819 ((x * y) / (x * z)) \ (x * z) = x * (z * ((z \ y) \ 1)). [hyper(4256,a,13738,a)]. given #13058 (H,wt=19): 13844 ((x * y) / (x * z)) \ (x * z) = x * ((y / z) \ z). [para(3007(a,1),13819(a,2,2))]. given #13059 (H,wt=21): 13838 a(x,y,z) \ (1 / a(u,y,w)) = R(y,z,x) \ L(y,u,w). [hyper(58,a,13658,a(flip),b,13687,a)]. given #13060 (H,wt=19): 13846 R(x,y,z) \ L(x,u,y) = R(y,z,x) \ L(y,x,u). [hyper(58,a,13686,a(flip),b,13838,a)]. given #13061 (H,wt=22): 13732 L(x,y,(z * (u * w)) \ (z * w)) = R(x,L(T(u,w),w,z),y). [para(211(a,1),13637(a,1,2)),flip(a)]. given #13062 (H,wt=22): 13769 L(x,K(y,z) * (u / y),y) != w | L(x,T(y,z) \ u,y) = w. [para(5482(a,1),13754(a,1,2))]. given #13063 (H,wt=22): 13789 L(x,y,((z \ 1) \ u) \ u) != w | L(x,y,T(z,u) \ 1) = w. [para(3521(a,2),13751(a,1,3))]. given #13064 (H,wt=20): 13847 L(x,y,T(z \ 1,u)) != w | L(x,y,T(z,u) \ 1) = w. [para(8946(a,1),13789(a,1))]. given #13065 (H,wt=22): 13829 L(R(x,y,y * z),1 / y,1 / y) = a(z,x,1 / y) \ x. [hyper(58,a,4237,a,b,13818,a)]. given #13066 (H,wt=22): 13830 a(x,y,z) \ a(u,a(x,y,z),w) = L(a(y,z,x \ 1),u,w). [hyper(272,a,13656,a(flip),b,13743,a)]. given #13067 (H,wt=23): 13733 L(x,y,(z / u) \ ((1 / u) * w)) = R(x,(w \ (u * z)) / u,y). [para(777(a,1),13637(a,1,2)),flip(a)]. given #13068 (H,wt=23): 13779 a(x,y,z) \ (L(x,u,w) * v5) = L(x,z,y) * (a(x,w,u) \ v5). [para(13673(a,1),13672(a,1,2))]. given #13069 (H,wt=23): 13781 a(x,y,a(z,u,x) * (L(x,u,z) * (w \ x))) = a(y,w,x \ 1). [para(12348(a,2),13734(a,1,3))]. given #13070 (H,wt=23): 13796 (x * (y * L(z,x * y,u))) * u = (x * y) * (L(z,y,x) * u). [para(361(a,1),13794(a,1,1))]. given #13071 (H,wt=23): 13841 L(x,(y \ (z \ 1)) * z,z * z) = R(x,z * z,z \ (z \ y)). [hyper(58,a,13099,a(flip),b,13840,a),flip(a)]. given #13072 (H,wt=21): 13851 R(x,y * y,y \ (y \ z)) = L(x,(y * z) \ y,y * y). [hyper(58,a,10077,a(flip),b,13841,a),flip(a)]. given #13073 (H,wt=17): 13852 R(x,y * y,y \ (y \ z)) = R(x,y * y,z). [hyper(272,a,13721,a(flip),b,13851,a),flip(a)]. given #13074 (H,wt=17): 13854 L(x,(y \ z) \ y,y * y) = R(x,y * y,z). [hyper(58,a,13722,a(flip),b,13852,a)]. given #13075 (H,wt=17): 13855 L(x,(y \ z) * z,z * z) = R(x,z * z,y). [hyper(58,a,9981,a(flip),b,13854,a)]. given #13076 (H,wt=17): 13856 R(x,y * y,y * z) = L(x,z \ y,y * y). [para(4(a,1),13854(a,1,2,1)),flip(a)]. given #13077 (H,wt=17): 13857 L(x,y * (y / z),y * y) = R(x,y * y,z). [hyper(58,a,9199,a(flip),b,13855,a)]. given #13078 (H,wt=17): 13858 R(x,y * y,z * y) = L(x,z \ y,y * y). [hyper(58,a,13034,a,b,13856,a)]. given #13079 (H,wt=23): 13849 a(x,y,a(x,z,u) * (L(x,u,z) * (w \ x))) = a(y,w,x \ 1). [para(13641(a,1),13781(a,1,3,1))]. given #13080 (H,wt=24): 13768 L(x,T(y,K(z,u)) / z,T(z,u)) != w | L(x,z \ y,T(z,u)) = w. [para(4553(a,2),13754(a,1,2))]. given #13081 (H,wt=20): 13859 L(x,y / z,T(z,u)) != w | L(x,z \ y,T(z,u)) = w. [para(11669(a,1),13768(a,1))]. given #13082 (H,wt=24): 13842 R(x,y,z) \ L(x,z,y) != x / u | a(x,y,z) * R(x,y,z) = u. [para(13706(a,1),40(a,1))]. given #13083 (H,wt=24): 13845 (x * (y * z)) / (L(z,y,x) \ 1) = x * ((y / (y * z)) \ (y * z)). [hyper(58,a,3514,a(flip),b,13844,a)]. given #13084 (H,wt=22): 13861 (x * (y * z)) / (L(z,y,x) \ 1) = x * (y * ((1 / z) \ z)). [para(5174(a,1),13845(a,2,2))]. given #13085 (H,wt=25): 13640 L(L(R(x,y,z * y),z,y \ 1),y,y) = L(x,z * y,y \ (y \ 1)). [para(13628(a,2),13346(a,1,1,1))]. given #13086 (H,wt=25): 13679 (L(x,y,z) * (a(x,z,y) \ u)) \ (x * u) = a(z,y,x) * a(z,y,x). [para(13641(a,1),12528(a,1,1,2,1))]. given #13087 (H,wt=25): 13707 a(x,y / a(z,u,x),K(z,u)) \ (y / a(z,u,x)) = a(z,u,x) \ y. [hyper(10720,a,13662,a),flip(a)]. given #13088 (H,wt=25): 13817 a(x,R(y,z,u) \ ((w / y) \ 1),v5) = a(x,(w * a(y,z,u)) \ 1,v5). [para(13812(a,1),9121(a,1,2,1)),flip(a)]. given #13089 (H,wt=25): 13832 (x * (y \ (y \ 1))) / a(z,u,y * y) = x * R((y * y) \ 1,z,u). [para(3080(a,1),13814(a,1,1,2))]. given #13090 (H,wt=23): 13866 (x \ (x \ y)) / a(z,u,x * x) = y * R((x * x) \ 1,z,u). [para(4382(a,1),13832(a,1,1))]. given #13091 (H,wt=23): 13867 a(x,y,z * z) \ (z \ (z \ u)) = u * R((z * z) \ 1,x,y). [hyper(12196,a,13866,a)]. given #13092 (H,wt=23): 13868 a(x,y,z * z) \ (z \ (z \ u)) = u * R(z \ (z \ 1),x,y). [para(3080(a,1),13867(a,2,2,1))]. given #13093 (H,wt=19): 13869 x * R(y \ (y \ 1),z,u) = x / R(y * y,z,u). [hyper(58,a,13688,a(flip),b,13868,a),flip(a)]. given #13094 (H,wt=21): 13870 x * (x * (y / R(x * x,z,u))) = a(z,u,x * x) \ y. [para(13869(a,1),13097(a,1,2,2))]. given #13095 (H,wt=25): 13862 (x * y) \ (x * (y * ((1 / z) \ z))) = (1 / L(z,y,x)) \ L(z,y,x). [para(13861(a,1),10166(a,1,2))]. given #13096 (H,wt=20): 13871 (1 / L(x,y,z)) \ L(x,y,z) = L((1 / x) \ x,y,z). [hyper(430,a,13862,a),flip(a)]. given #13097 (H,wt=20): 13872 (a(x,y,z) / z) \ L(z,y,x) = L((1 / z) \ z,y,x). [hyper(58,a,12527,a,b,13871,a)]. given #13098 (H,wt=20): 13873 T(L((1 / x) \ x,y,z),x) = L(x,y,z) * L(x,y,z). [para(13872(a,1),12897(a,1,1))]. given #13099 (H,wt=20): 13874 L(T((1 / x) \ x,x),y,z) = L(x,y,z) * L(x,y,z). [hyper(58,a,20,a,b,13873,a)]. given #13100 (H,wt=16): 13875 L(x,y,z) * L(x,y,z) = L(x * x,y,z). [para(368(a,1),13874(a,1,1)),flip(a)]. given #13101 (H,wt=16): 13876 x * L(L(x,y,z),y,z) = L(x * x,y,z). [hyper(58,a,12946,a(flip),b,13875,a)]. given #13102 (H,wt=19): 13878 L(x * x,y,z) != x * u | L(L(x,y,z),y,z) = u. [para(13876(a,1),38(a,1))]. given #13103 (H,wt=20): 13877 x * L(L(x,y \ z,z),y \ z,z) = R(x * x,z,y). [hyper(272,a,13836,a(flip),b,13876,a),flip(a)]. given #13104 (H,wt=25): 13863 L(L(L(x,y \ z,z),y,z \ 1),z,z) = L(x,y * z,z \ (z \ 1)). [para(13784(a,1),13640(a,1,1,1))]. given #13105 (H,wt=23): 13879 L(R(L(x,y \ z,z),z,y),z,z) = L(x,y * z,z \ (z \ 1)). [para(13628(a,2),13863(a,1,1))]. given #13106 (H,wt=23): 13880 L(L(R(x,y,z),z \ y,y),y,y) = L(x,z * y,y \ (y \ 1)). [para(24(a,1),13879(a,1,1))]. given #13107 (H,wt=22): 13881 L(R(x,y,z),y \ (z \ y),y) = L(x,z * y,y \ (y \ 1)). [hyper(13595,a,13880,a)]. given #13108 (H,wt=22): 13882 L(R(x,y,z),(z \ y) * y,y) = L(x,z * y,y \ (y \ 1)). [hyper(58,a,13797,a(flip),b,13881,a)]. given #13109 (H,wt=22): 13883 L(R(x,y,z),y * (z \ y),y) = L(x,z * y,y \ (y \ 1)). [hyper(9262,a,13882,a)]. given #13110 (H,wt=18): 13884 R(R(x,y,z),y,z) = L(x,z * y,y \ (y \ 1)). [hyper(58,a,13828,a,b,13883,a)]. given #13111 (H,wt=16): 13885 R(R(x,y,z),y,z) = R(x,y * y,z * y). [hyper(272,a,13636,a(flip),b,13884,a),flip(a)]. given #13112 (H,wt=16): 13886 R(R(x,y,z),y,z) = L(x,z \ y,y * y). [hyper(272,a,13858,a(flip),b,13885,a),flip(a)]. given #13113 (H,wt=18): 13888 R(R(x,y,y / z),y,y / z) = L(x,z,y * y). [para(74(a,1),13886(a,2,2))]. given #13114 (H,wt=18): 13890 R(L(x,y / z,z),z,z / y) = L(x,y,z * z). [para(13716(a,1),13888(a,1,1))]. given #13115 (H,wt=18): 13891 R(L(x,y * z,z),z,z / y) = L(x,y,z * z). [para(13799(a,1),13890(a,1,1))]. given #13116 (H,wt=18): 13892 L(L(x,y * z,z),y / z,z) = L(x,y,z * z). [hyper(13764,a,13891,a)]. given #13117 (H,wt=18): 13893 L(L(x,y * z,z),y * z,z) = L(x,y,z * z). [hyper(58,a,13799,a(flip),b,13892,a)]. given #13118 (H,wt=17): 13894 L(x * x,y * z,z) = x * L(x,y,z * z). [para(13893(a,1),13876(a,1,2)),flip(a)]. given #13119 (H,wt=15): 13895 x * L(x,y,z * z) = L(x * x,y,z). [hyper(58,a,13800,a(flip),b,13894,a),flip(a)]. given #13120 (H,wt=14): 13896 L(L(x,y,z),y,z) = L(x,y,z * z). [hyper(29,a,13876,a,b,13895,a)]. given #13121 (H,wt=16): 13897 a(x,y,z) \ L(x,z,y) = L(x,z,y * y). [hyper(58,a,13680,a,b,13896,a)]. given #13122 (H,wt=18): 13898 R(x,y,z) \ L(x,z,y) = x \ L(x,z,y * y). [para(13896(a,1),13805(a,2,2))]. given #13123 (H,wt=18): 13899 R(x,y,z) \ L(x,z,y) = x / R(x,y * y,z). [hyper(272,a,13737,a,b,13898,a),flip(a)]. given #13124 (H,wt=16): 13901 a(x,y,z) * R(x,y,z) = R(x,y * y,z). [hyper(13842,a,13899,a)]. given #13125 (H,wt=18): 13900 R(x,y,z) \ L(x,z,y) = y \ L(y,x,z * z). [hyper(58,a,13846,a,b,13898,a)]. given #13126 (H,wt=21): 13887 R(x,y,z) * a(y,z,R(x,y,z)) = L(x,z \ y,y * y). [hyper(58,a,13655,a(flip),b,13886,a)]. given #13127 (H,wt=18): 13902 L(x,y \ z,z * z) = R(x,z,y) * a(z,y,x). [para(13696(a,1),13887(a,1,2)),flip(a)]. given #13128 (H,wt=18): 13903 L(x,y \ z,z * z) = R(x,z,y) * a(x,z,y). [para(13641(a,1),13902(a,2,2))]. given #13129 (H,wt=18): 13904 L(x,y \ z,z * z) = a(x,z,y) * R(x,z,y). [hyper(272,a,13024,a,b,13903,a),flip(a)]. given #13130 (H,wt=15): 13905 L(x,y \ z,z * z) = R(x,z * z,y). [hyper(272,a,13901,a(flip),b,13904,a),flip(a)]. given #13131 (H,wt=18): 13906 L(L(x,y \ z,z),y \ z,z) = R(x,z * z,y). [hyper(58,a,13896,a,b,13905,a)]. given #13132 (H,wt=15): 13907 x * R(x,y * y,z) = R(x * x,y,z). [para(13906(a,1),13877(a,1,2))]. given #13133 (H,wt=21): 13889 x * (y * L(z,y \ x,x * x)) = (x * y) * R(z,x,y). [para(13886(a,1),13695(a,1,2,2))]. given #13134 (H,wt=19): 13909 x * (y * R(z,x * x,y)) = (x * y) * R(z,x,y). [para(13905(a,1),13889(a,1,2,2))]. given #13135 (H,wt=21): 13908 x * R(x,y * (y * (y * y)),z) = R(x * x,y * y,z). [para(2956(a,1),13907(a,1,2,2))]. given #13136 (H,wt=25): 13864 (L(x,y,z) * (a(x,z,y) \ u)) \ (x * u) = a(x,z,y) * a(z,y,x). [para(13641(a,1),13679(a,2,1))]. given #13137 (H,wt=25): 13865 a(x,y * a(z,u,x),K(z,u)) \ (y / a(z,u,x)) = a(z,u,x) \ y. [para(13451(a,1),13707(a,1,1))]. given #13138 (H,wt=20): 13911 a(x,y,K(z,u)) \ (u / a(z,y,x)) = a(z,y,x) \ u. [para(13578(a,1),13865(a,1,1))]. given #13139 (H,wt=20): 13912 a(x,y,K(z,u)) \ (u / a(x,z,y)) = a(x,z,y) \ u. [para(10642(a,1),13911(a,1,1))]. given #13140 (H,wt=20): 13914 a(x,y,K(z,u)) * (u / a(x,z,y)) = a(x,z,y) \ u. [hyper(58,a,7950,a(flip),b,13912,a)]. given #13141 (H,wt=18): 13915 L(x,y,K(z,u)) / a(z,y,u) = a(z,y,u) \ x. [hyper(58,a,10754,a(flip),b,13914,a)]. given #13142 (H,wt=25): 13910 (L(x,y,z) * (a(x,z,y) \ u)) \ (x * u) = a(x,z,y) * a(x,z,y). [para(13641(a,1),13864(a,2,2))]. given #13143 (H,wt=23): 13916 (L(L(x,y,z),y,z) * u) \ (x * u) = a(x,z,y) * a(x,z,y). [para(13806(a,1),13910(a,1,1))]. given #13144 (H,wt=22): 13917 (L(x,y,z * z) * u) \ (x * u) = a(x,z,y) * a(x,z,y). [para(13896(a,1),13916(a,1,1,1))]. given #13145 (H,wt=18): 13918 a(x,y * y,T(z,u)) = a(x,y,z) * a(x,y,z). [hyper(13730,a,13917,a)]. given #13146 (H,wt=16): 13919 a(x,y,z) * a(x,y,z) = a(x,y * y,z). [hyper(12388,a,13918,a),flip(a)]. given #13147 (H,wt=19): 13920 a(x,y,z) * a(x,y,z) != u | a(x,y * y,z) = u. [para(13918(a,1),12388(a,1))]. given #13148 (H,wt=20): 13922 a(x,y,z) * (a(x,y,z) * u) = a(x,y * y,z) * u. [para(13919(a,1),10819(a,1,1)),flip(a)]. given #13149 (H,wt=20): 13923 (x * a(y,z,u)) * a(y,z,u) = x * a(y,z * z,u). [para(13919(a,1),10834(a,2,2))]. given #13150 (H,wt=26): 13802 (x * ((x * y) * R(z,x,y))) / T(x * (x * y),R(z,x,y)) = L(z,x,x). [hyper(58,a,8262,a(flip),b,13801,a)]. given #13151 (H,wt=26): 13821 R(x,y,L(z,u,z * u) * u) = R(x,y,u * ((((1 / z) * u) \ 1) * u)). [para(13820(a,2),8744(a,1,3,1))]. given #13152 (H,wt=24): 13925 R(x,y,L(z * u,z,u)) = R(x,y,u * ((((1 / z) * u) \ 1) * u)). [para(13697(a,1),13821(a,1,3))]. given #13153 (H,wt=24): 13926 R(x,y,L(z * u,z,u)) = R(x,y,u * (u * ((1 / z) \ (1 / u)))). [para(4629(a,1),13925(a,2,3,2))]. given #13154 (H,wt=22): 13927 R(x,y,L(z * u,z,u)) = R(x,y,(1 / z) \ ((u \ 1) \ 1)). [para(5107(a,1),13926(a,2,3))]. given #13155 (H,wt=22): 13928 R(x,y,L(z * u,z,u)) = L(x,((u \ 1) \ 1) \ (1 / z),y). [hyper(272,a,13722,a(flip),b,13927,a),flip(a)]. given #13156 (H,wt=18): 13929 R(x,y,L(z * u,z,u)) = L(x,1 / (z * u),y). [para(4169(a,1),13928(a,2,2))]. given #13157 (H,wt=16): 13930 R(x,y,L(z * u,z,u)) = R(x,y,z * u). [hyper(272,a,13718,a,b,13929,a),flip(a)]. given #13158 (H,wt=26): 13921 T(x,(a(y,z,u) \ (a(y,z,u) \ 1)) * w) = T(x,a(y,z * z,u) \ w). [para(13919(a,1),8599(a,2,2,1))]. given #13159 (H,wt=26): 13924 (x * ((x * y) * R(z,x,y))) / T(x * (x * y),L(z,x,y)) = L(z,x,x). [para(10615(a,1),13802(a,1,2))]. given #13160 (H,wt=23): 13932 (x * ((x * y) * R(z,x,y))) / T(x * (x * y),z) = L(z,x,x). [para(13416(a,1),13924(a,1,2))]. given #13161 (H,wt=26): 13931 T(x,(a(y,z,u) \ a(y,z,u \ 1)) * w) = T(x,a(y,z * z,u) \ w). [para(13652(a,2),13921(a,1,2,1,2))]. given #13162 (H,wt=24): 13934 T(x,(R(y,z,u) \ L(y,u,z)) * w) = T(x,a(y,z * z,u) \ w). [para(13719(a,1),13931(a,1,2,1))]. given #13163 (H,wt=28): 13788 x \ (L(x,y \ (z * z),z * z) * y) = ((z * z) * (((z * z) \ y) / x)) * x. [para(13749(a,2),3441(a,1,2))]. given #13164 (H,wt=28): 13935 x \ (L(x,y * (y / z),y * y) * z) = ((y * y) * (((y * y) \ z) / x)) * x. [para(9253(a,1),13788(a,1,2,1))]. given #13165 (H,wt=24): 13936 x \ (R(x,y * y,z) * z) = ((y * y) * (((y * y) \ z) / x)) * x. [para(13857(a,1),13935(a,1,2,1))]. given #13166 (H,wt=22): 13937 a(x,y * y,z) * z = ((y * y) * (((y * y) \ z) / x)) * x. [hyper(13005,a,13936,a)]. given #13167 (H,wt=23): 13938 ((x * x) * (((x * x) \ y) / z)) * z != u | R(y,z,x * x) = u. [para(13937(a,1),13681(a,1))]. given #13168 (H,wt=29): 13816 T(a(x,y,z),u) * ((x * x) * T(a(x,y,z),u)) = a(x,y,z) * (x * R(x,y,z)). [para(13810(a,1),6771(a,2,2))]. given #13169 (H,wt=29): 13939 a(x,y,T(z,u)) * ((x * x) * T(a(x,y,z),u)) = a(x,y,z) * (x * R(x,y,z)). [para(12381(a,2),13816(a,1,1))]. given #13170 (H,wt=29): 13940 a(x,y,T(z,u)) * ((x * x) * a(x,y,T(z,u))) = a(x,y,z) * (x * R(x,y,z)). [para(12381(a,2),13939(a,1,2,2))]. given #13171 (H,wt=27): 13941 a(x,y,T(z,u)) * (x * R(x,y,T(z,u))) = a(x,y,z) * (x * R(x,y,z)). [para(13810(a,1),13940(a,1,2))]. given #13172 (H,wt=25): 13942 R(x,y,T(z,u)) * R(x,y,T(z,u)) = a(x,y,z) * (x * R(x,y,z)). [hyper(58,a,13004,a(flip),b,13941,a)]. given #13173 (H,wt=23): 13943 R(x,y,T(z,u)) * R(x,y,T(z,u)) = R(x,y,z) * R(x,y,z). [hyper(272,a,13004,a(flip),b,13942,a),flip(a)]. given #13174 (H,wt=32): 13771 x \ (y \ (y \ (y \ (y \ (((y * (y * (y * y))) * x) * z))))) = R(z,y * (y * (y * y)),x). [para(6802(a,1),13757(a,2,2)),flip(a)]. given #13175 (H,wt=32): 13944 x \ (y \ (y \ (y \ (y \ ((y * (y * (x * (y * y)))) * z))))) = R(z,y * (y * (y * y)),x). [para(4821(a,1),13771(a,1,2,2,2,2,2,1))]. given #13176 (H,wt=32): 13945 x \ (y \ (y \ (y * (y * ((x * (y * y)) * ((y * y) \ z)))))) = R(z,y * (y * (y * y)),x). [para(7629(a,1),13944(a,1,2,2,2))]. given #13177 (H,wt=24): 13946 x \ ((x * (y * y)) * ((y * y) \ z)) = R(z,y * (y * (y * y)),x). [para(62(a,1),13945(a,1,2))]. given #13178 (H,wt=24): 13947 ((x * x) * (((x * x) \ y) / z)) * z = R(y,x * (x * (x * x)),z). [hyper(58,a,3441,a(flip),b,13946,a)]. given #13179 (H,wt=17): 13949 R(x,y * (y * (y * y)),z) = R(x,z,y * y). [hyper(13938,a,13947,a),flip(a)]. given #13180 (H,wt=17): 13950 R(x * x,y * y,z) = x * R(x,z,y * y). [para(13949(a,1),13908(a,1,2)),flip(a)]. given #13181 (H,wt=36): 13589 L(L(x,T(y \ 1,z) \ u,(y * z) \ z),(y * z) \ z,(y * z) \ z) = a(u,x,(y * z) \ z) \ x. [para(2280(a,2),13584(a,1,1,2))]. given #13182 (H,wt=36): 13848 L(R(x,T(y,z),K(y,z) * T(u,y)),1 / T(y,z),1 / T(y,z)) = a(u / y,x,1 / T(y,z)) \ x. [para(8773(a,2),13829(a,1,1))]. given #13183 (H,wt=36): 13951 L(L(x,T(y \ 1,z) \ u,z \ (y \ z)),(y * z) \ z,(y * z) \ z) = a(u,x,(y * z) \ z) \ x. [para(9073(a,1),13589(a,1,1))]. given #13184 (H,wt=36): 13952 L(R(x,y,T(K(y,z) * T(u,y),z)),1 / T(y,z),1 / T(y,z)) = a(u / y,x,1 / T(y,z)) \ x. [para(13007(a,1),13848(a,1,1))]. given #13185 (H,wt=36): 13953 L(R(x,y,K(y,z) * T(T(u,y),z)),1 / T(y,z),1 / T(y,z)) = a(u / y,x,1 / T(y,z)) \ x. [para(5477(a,1),13952(a,1,1,3))]. given #13186 (H,wt=39): 13702 (((a(x,y,z) \ 1) * x) * (u * a(x,y,z))) / a(x,y,z) = (1 / a(x,y,z)) \ ((a(x,y,z) \ L(x,z,y)) * u). [para(13661(a,2),3740(a,2,2,1,2))]. given #13187 (H,wt=39): 13954 ((a(x,y,z \ 1) * x) * (u * a(x,y,z))) / a(x,y,z) = (1 / a(x,y,z)) \ ((a(x,y,z) \ L(x,z,y)) * u). [para(13652(a,2),13702(a,1,1,1,1))]. given #13188 (H,wt=37): 13955 (R(x,y,z \ 1) * (u * a(x,y,z))) / a(x,y,z) = (1 / a(x,y,z)) \ ((a(x,y,z) \ L(x,z,y)) * u). [para(12964(a,2),13954(a,1,1,1))]. given #13189 (H,wt=35): 13956 (1 / a(x,y,z)) \ ((a(x,y,z) \ L(x,z,y)) * u) = (L(x,z,y) * (u * a(x,y,z))) / a(x,y,z). [para(13709(a,2),13955(a,1,1,1)),flip(a)]. given #13190 (H,wt=32): 13957 (1 / a(x,y,z)) \ ((a(x,y,z) \ L(x,z,y)) * u) = (x * L(u,y,K(x,z))) / a(x,y,z). [para(13837(a,1),13956(a,2,1))]. given #13191 (H,wt=32): 13958 (1 / a(x,y,z)) \ ((a(x,y,z) \ L(x,z,y)) * u) = x * (L(u,y,K(x,z)) / a(x,y,z)). [hyper(272,a,12939,a(flip),b,13957,a),flip(a)]. given #13192 (H,wt=27): 13959 (1 / a(x,y,z)) \ ((a(x,y,z) \ L(x,z,y)) * u) = x * (a(x,y,z) \ u). [para(13915(a,1),13958(a,2,2))]. given #13193 (H,wt=25): 13960 (1 / a(x,y,z)) \ ((a(x,y,z) \ L(x,z,y)) * u) = L(x,z,y) * u. [hyper(272,a,13673,a(flip),b,13959,a),flip(a)]. given #13194 (H,wt=25): 13961 a(x,y,z \ 1) \ ((a(x,y,z) \ L(x,z,y)) * u) = L(x,z,y) * u. [para(13651(a,2),13960(a,1,1))]. given #13195 (H,wt=23): 13962 a(x,y,z) * ((a(x,y,z) \ L(x,z,y)) * u) = L(x,z,y) * u. [hyper(58,a,13669,a(flip),b,13961,a)]. given #13196 (H,wt=47): 11068 ((K(x,T(y,z)) * u) * w) \ (K(x,K(y,z)) * ((K(x,y) * u) * (w * v5))) = L(L(v5,w,K(x,y) * u),(K(x,y) * u) * w,K(x,K(y,z))). [para(11035(a,1),427(a,1,1))]. given #13197 (H,wt=43): 13963 L(L(x,y,K(z,u) * w),(K(z,u) * w) * y,K(z,K(u,v5))) = ((K(z,T(u,v5)) * w) * y) \ ((K(z,T(u,v5)) * w) * (y * x)). [para(11035(a,1),11068(a,1,2)),flip(a)]. given #13198 (H,wt=32): 13964 L(L(x,y,K(z,u) * w),(K(z,u) * w) * y,K(z,K(u,v5))) = L(x,y,K(z,T(u,v5)) * w). [hyper(272,a,13,a,b,13963,a),flip(a)]. given #13199 (H,wt=19): 13965 L(x,y,K(z,T(u,w)) * v5) = L(x,y,K(z,u) * v5). [hyper(10976,a,13964,a),flip(a)]. given #13200 (H,wt=25): 13967 L(x,y,(z * T(z,T(u,w))) \ v5) = L(x,y,K(z,u) * ((z * z) \ v5)). [para(12225(a,1),13965(a,1,3))]. given #13201 (H,wt=25): 13968 L(x,y,z \ (T(z,T(u,w)) \ v5)) = L(x,y,K(z,u) * ((z * z) \ v5)). [hyper(58,a,12229,a(flip),b,13967,a)]. given #13202 (H,wt=23): 13969 L(x,y,z \ (T(z,T(u,w)) \ v5)) = L(x,y,(z * T(z,u)) \ v5). [para(12225(a,1),13968(a,2,3))]. given #13203 (H,wt=23): 13970 L(x,y,z \ (T(z,T(u,w)) \ v5)) = L(x,y,z \ (T(z,u) \ v5)). [hyper(272,a,12229,a(flip),b,13969,a),flip(a)]. given #13204 (H,wt=29): 13971 L(x,y,z \ (T(z,u) \ (u \ 1))) = L(x,y,((w \ (z \ w)) * (1 / u)) / T(z,w)). [hyper(58,a,12570,a(flip),b,13970,a),flip(a)]. given #13205 (H,wt=27): 13973 L(x,y,((z \ (u \ z)) * (1 / w)) / T(u,z)) = L(x,y,u \ (w \ (u \ 1))). [para(4352(a,1),13971(a,1,3,2)),flip(a)]. given #13206 (H,wt=25): 13974 L(x,y,T(z,u) \ ((1 / w) / T(z,u))) = L(x,y,z \ (w \ (z \ 1))). [para(3594(a,1),13973(a,1,3))]. given #13207 (H,wt=25): 13975 L(x,y,T(z,u) \ (w \ (T(z,u) \ 1))) = L(x,y,z \ (w \ (z \ 1))). [hyper(58,a,9101,a(flip),b,13974,a)]. given #13208 (H,wt=27): 13976 L(x,T(1 / y,z) \ 1,y \ (u \ (y \ 1))) = R(x,u,T(1 / y,z) \ 1). [hyper(58,a,11301,a(flip),b,13975,a),flip(a)]. given #13209 (H,wt=27): 13978 L(x,(1 / y) \ 1,T(y \ (z \ (y \ 1)),u)) = R(x,z,T(1 / y,u) \ 1). [hyper(58,a,12468,a(flip),b,13976,a)]. given #13210 (H,wt=23): 13979 L(x,y,T(y \ (z \ (y \ 1)),u)) = R(x,z,T(1 / y,u) \ 1). [para(74(a,1),13978(a,1,2))]. given #13211 (H,wt=27): 13980 L(x,y,T(y \ (z \ (y \ 1)),u * w)) = R(x,z,T(1 / y,w \ u) \ 1). [hyper(13472,a,13979,a)]. given #13212 (H,wt=27): 13981 L(x,y,T(y * (z * y),u * w) \ 1) = R(x,z,T(1 / y,w \ u) \ 1). [hyper(58,a,9135,a(flip),b,13980,a)]. given #13213 (H,wt=25): 13982 R(x,y \ (z * y),T(y,u * w)) = R(x,z,T(1 / y,w \ u) \ 1). [hyper(58,a,12512,a(flip),b,13981,a)]. given #13214 (H,wt=23): 13983 R(x,T(y,z),T(z,u * w)) = R(x,y,T(1 / z,w \ u) \ 1). [para(17(a,2),13982(a,1,2))]. given #13215 (H,wt=23): 13984 R(x,y,T(T(z,u * w),z)) = R(x,y,T(1 / z,w \ u) \ 1). [hyper(13008,a,13983,a)]. given #13216 (H,wt=21): 13985 R(x,y,T(1 / z,u \ w) \ 1) = R(x,y,T(z,w * u)). [para(158(a,1),13984(a,1,3)),flip(a)]. given #13217 (H,wt=19): 13986 R(x,y,T(z,u \ w) * 1) = R(x,y,T(z,w * u)). [hyper(58,a,10538,a(flip),b,13985,a)]. given #13218 (H,wt=17): 13987 R(x,y,T(z,u \ w)) = R(x,y,T(z,w * u)). [para(3(a,1),13986(a,1,3))]. given #13219 (H,wt=33): 13988 R(x,y \ T(1 / y,z),T(u,(z \ (y \ 1)) * y)) = R(x,((y * z) \ 1) * ((y / z) \ 1),u). [hyper(58,a,13141,a(flip),b,13987,a),flip(a)]. given #13220 (H,wt=31): 13989 R(x,y \ T(1 / y,z),T(u,(y * z) \ y)) = R(x,((y * z) \ 1) * ((y / z) \ 1),u). [para(8599(a,1),13988(a,1,3))]. given #13221 (H,wt=29): 13990 R(x,((y * z) \ 1) * ((y / z) \ 1),u) = R(x,y \ T(1 / y,z),T(u,z \ 1)). [para(4464(a,1),13989(a,1,3)),flip(a)]. given #13222 (H,wt=27): 13991 R(x,((y * z) \ 1) * ((y / z) \ 1),u) = R(x,y \ T(1 / y,z),T(u,z)). [hyper(272,a,8752,a(flip),b,13990,a),flip(a)]. given #13223 (H,wt=27): 13993 R(x,((y * z) \ 1) * ((y / z) \ 1),u) = R(x,y \ (T(y,z) \ 1),T(u,z)). [hyper(272,a,13115,a(flip),b,13991,a),flip(a)]. given #13224 (H,wt=25): 13994 R(x,y * (z \ (1 / (z * y))),u) = R(x,z \ (T(z,y) \ 1),T(u,y)). [para(7509(a,1),13993(a,1,2))]. given #13225 (H,wt=47): 12747 L(x,(1 / T(y,K(z,u))) * (K(z,u) / w),(1 / T(y,K(z,u))) \ 1) = R(x,(1 / T(y,K(z,u))) \ 1,((1 / w) \ (1 / y)) * K(z,u)). [para(11577(a,1),12745(a,1,3)),flip(a)]. given #13226 (H,wt=43): 13995 L(x,(1 / T(y,K(z,u))) * (K(z,u) / w),(1 / T(y,K(z,u))) \ 1) = R(x,T(y,K(z,u)),((1 / w) \ (1 / y)) * K(z,u)). [para(74(a,1),12747(a,2,2))]. given #13227 (H,wt=51): 12064 T(x,y * (y * (a(z,u,w) \ (a(z,u,w) \ (a(z,u,w) \ (a(z,u,w) \ (a(z,u,w) \ (a(z,u,w) \ y)))))))) = T(x,(a(z,u,w) / y) * a(z,u,w)). [hyper(272,a,10985,a(flip),b,12063,a),flip(a)]. given #13228 (H,wt=53): 13850 ((1 / x) * (1 / y)) \ (((1 / x) * ((1 / y) * L(z,(1 / x) * (1 / y),u))) * u) = T(T(L(z,1 / y,1 / x) * u,x \ (y \ 1)),(1 / x) * (1 / y)). [hyper(359,a,13796,a,b,7541,a),flip(a)]. given #13229 (H,wt=53): 13997 ((1 / x) * (1 / y)) \ (((1 / x) * ((1 / y) * L(z,(1 / x) * (1 / y),u))) * u) = T(T(L(z,1 / y,x \ 1) * u,x \ (y \ 1)),(1 / x) * (1 / y)). [para(2449(a,1),13850(a,2,1,1,1))]. given #13230 (H,wt=49): 13998 ((1 / x) * (1 / y)) \ (((1 / x) * ((1 / y) * L(z,(1 / x) * (1 / y),u))) * u) = T(T(L(z,y,x) * u,x \ (y \ 1)),(1 / x) * (1 / y)). [para(13746(a,1),13997(a,2,1,1,1))]. given #13231 (H,wt=47): 13999 ((1 / x) * (1 / y)) \ (((1 / x) * ((1 / y) * L(z,(1 / x) * (1 / y),u))) * u) = T(T(L(z,y,x) * u,x \ (y \ 1)),(1 / x) / y). [hyper(272,a,6044,a(flip),b,13998,a),flip(a)]. given #13232 (H,wt=47): 14000 ((1 / x) * (1 / y)) \ (((1 / x) * ((1 / y) * L(z,(1 / x) * (1 / y),u))) * u) = T(T(L(z,y,x) * u,x \ (y \ 1)),x \ (y \ 1)). [hyper(272,a,4898,a(flip),b,13999,a),flip(a)]. given #13233 (H,wt=35): 14001 ((1 / x) * (1 / y)) \ (((1 / x) * ((1 / y) * L(z,(1 / x) * (1 / y),u))) * u) = L(z,y,x) * u. [hyper(272,a,2765,a(flip),b,14000,a),flip(a)]. given #13234 (H,wt=55): 10784 ((L(T(x,y),z,u) * w) * R(K(y,x),L(T(x,y),z,u),w)) * R(K(y,x),L(T(x,y),z,u),w) = (R(K(y,x),L(T(x,y),z,u),w) \ 1) \ (L(x,z,T(u,y)) * w). [para(10780(a,1),3543(a,2,2,1))]. given #13235 (H,wt=55): 14003 ((L(T(x,y),z,u) * w) * R(K(x,y),L(T(x,y),z,u),w)) * R(K(y,x),L(T(x,y),z,u),w) = (R(K(y,x),L(T(x,y),z,u),w) \ 1) \ (L(x,z,T(u,y)) * w). [para(28(a,1),10784(a,1,1,2,1))]. given #13236 (H,wt=31): 14004 (R(K(x,y),L(T(y,x),z,u),w) \ 1) \ (L(y,z,T(u,x)) * w) = L(T(y,x),z,u) * w. [hyper(7341,a,14003,a),flip(a)]. given #13237 (H,wt=31): 14005 (R(K(x,y),L(T(x,y),z,u),w) \ 1) \ (L(x,z,T(u,y)) * w) = L(T(x,y),z,u) * w. [para(28(a,1),14004(a,1,1,1,1))]. given #13238 (H,wt=31): 14006 (K(x,L(y,L(T(x,y),z,u),w)) \ 1) \ (L(x,z,T(u,y)) * w) = L(T(x,y),z,u) * w. [para(10602(a,1),14005(a,1,1,1))]. given #13239 (H,wt=28): 14007 (K(x,L(y,z,T(x,y))) \ 1) \ (L(x,u,T(w,y)) * z) = L(T(x,y),u,w) * z. [para(13516(a,1),14006(a,1,1,1))]. given #13240 (H,wt=26): 14008 (K(x,L(y,z,x)) \ 1) \ (L(x,u,T(w,y)) * z) = L(T(x,y),u,w) * z. [para(7026(a,1),14007(a,1,1,1,2))]. given #13241 (H,wt=23): 14010 (K(x,y) \ 1) \ (L(x,z,T(u,y)) * w) = L(T(x,y),z,u) * w. [para(6291(a,1),14008(a,1,1,1))]. given #13242 (H,wt=21): 14012 K(x,y) * (L(x,z,T(u,y)) * w) = L(T(x,y),z,u) * w. [hyper(4013,a,14010,a)]. given #13243 (H,wt=23): 14014 T(x,L(T(y,y \ z),u,w) * v5) = T(x,L(T(y,z),u,w) * v5). [para(14012(a,1),11267(a,1,2)),flip(a)]. given #13244 (H,wt=27): 14015 T(x,L(T(y,z),u,w) * (T(v5,y) * z)) = T(x,v5 * (z / (1 / L(y,u,w)))). [hyper(58,a,12153,a(flip),b,14014,a),flip(a)]. given #13245 (H,wt=27): 14016 T(x,y * (L(z,u,w) * T(T(v5,z),y))) = T(x,v5 * (y / (1 / L(z,u,w)))). [hyper(58,a,11891,a(flip),b,14015,a)]. given #13246 (H,wt=25): 14017 T(x,y * (L(z,u,w) * T(T(v5,z),y))) = T(x,v5 * (y * L(z,u,w))). [hyper(272,a,8482,a(flip),b,14016,a),flip(a)]. given #13247 (H,wt=59): 9942 (T(x \ y,x) / (x * (y / x))) \ (((T(x \ y,(x \ y) \ (x * (y / x))) / (x * (y / x))) * z) * u) = ((x * (y / x)) \ (x \ y)) \ ((((x * (y / x)) \ (x \ y)) * z) * u). [para(2831(a,1),9941(a,1,1,1,2))]. given #13248 (H,wt=57): 14018 ((x / y) / (y * (x / y))) \ (((T(y \ x,(y \ x) \ (y * (x / y))) / (y * (x / y))) * z) * u) = ((y * (x / y)) \ (y \ x)) \ ((((y * (x / y)) \ (y \ x)) * z) * u). [para(2775(a,1),9942(a,1,1,1))]. given #13249 (H,wt=57): 14019 ((x / y) \ ((x / y) / y)) \ (((T(y \ x,(y \ x) \ (y * (x / y))) / (y * (x / y))) * z) * u) = ((y * (x / y)) \ (y \ x)) \ ((((y * (x / y)) \ (y \ x)) * z) * u). [para(3305(a,1),14018(a,1,1))]. given #13250 (H,wt=57): 14020 ((x / y) \ ((y * y) \ x)) \ (((T(y \ x,(y \ x) \ (y * (x / y))) / (y * (x / y))) * z) * u) = ((y * (x / y)) \ (y \ x)) \ ((((y * (x / y)) \ (y \ x)) * z) * u). [para(3249(a,1),14019(a,1,1,2))]. given #13251 (H,wt=54): 14021 (L(x,x,y) \ 1) \ (((T(x \ y,(x \ y) \ (x * (y / x))) / (x * (y / x))) * z) * u) = ((x * (y / x)) \ (x \ y)) \ ((((x * (y / x)) \ (x \ y)) * z) * u). [para(7034(a,1),14020(a,1,1))]. given #13252 (H,wt=46): 14022 ((x * (y / x)) \ (x \ y)) \ ((((x * (y / x)) \ (x \ y)) * z) * u) = (L(x,x,y) \ 1) \ (((T(x \ y,x) / (x * (y / x))) * z) * u). [para(2831(a,1),14021(a,1,2,1,1,1,2)),flip(a)]. given #13253 (H,wt=44): 14023 ((x * (y / x)) \ (x \ y)) \ ((((x * (y / x)) \ (x \ y)) * z) * u) = (L(x,x,y) \ 1) \ ((((y / x) / (x * (y / x))) * z) * u). [para(2775(a,1),14022(a,2,2,1,1,1))]. given #13254 (H,wt=44): 14024 ((x * (y / x)) \ (x \ y)) \ ((((x * (y / x)) \ (x \ y)) * z) * u) = (L(x,x,y) \ 1) \ ((((y / x) \ ((y / x) / x)) * z) * u). [para(3305(a,1),14023(a,2,2,1,1))]. given #13255 (H,wt=44): 14025 ((x * (y / x)) \ (x \ y)) \ ((((x * (y / x)) \ (x \ y)) * z) * u) = (L(x,x,y) \ 1) \ ((((y / x) \ ((x * x) \ y)) * z) * u). [para(3249(a,1),14024(a,2,2,1,1,2))]. given #13256 (H,wt=41): 14026 ((x * (y / x)) \ (x \ y)) \ ((((x * (y / x)) \ (x \ y)) * z) * u) = (L(x,x,y) \ 1) \ (((L(x,x,y) \ 1) * z) * u). [para(7034(a,1),14025(a,2,2,1,1))]. given #13257 (H,wt=37): 14027 ((x * (y / x)) \ (x \ y)) \ ((((x * (y / x)) \ (x \ y)) * z) * u) = (z * (u * L(x,x,y))) / L(x,x,y). [hyper(272,a,7048,a(flip),b,14026,a),flip(a)]. given #13258 (H,wt=31): 14028 ((x * (y / x)) \ (x \ y)) \ ((((x * (y / x)) \ (x \ y)) * z) * u) = (z * (u * x)) / x. [hyper(272,a,10469,a(flip),b,14027,a),flip(a)]. given #13259 (H,wt=27): 14030 (x \ (x / y)) \ ((((y * (x / y)) \ (y \ x)) * z) * u) = (z * (u * y)) / y. [para(5769(a,1),14028(a,1,1))]. given #13260 (H,wt=23): 14031 (x \ (x / y)) \ (((x \ (x / y)) * z) * u) = (z * (u * y)) / y. [para(5769(a,1),14030(a,1,2,1,1))]. given #13261 (H,wt=27): 14032 (x \ y) \ (((x \ (x / (y \ x))) * z) * u) = (z * (u * (y \ x))) / (y \ x). [para(72(a,1),14031(a,1,1,2))]. given #13262 (H,wt=23): 14034 (x * (y * (z \ u))) / (z \ u) = (u \ z) \ (((u \ z) * x) * y). [para(72(a,1),14032(a,1,2,1,1,2)),flip(a)]. given #13263 (H,wt=21): 14037 (x \ y) * (z / ((y \ x) \ 1)) = ((x \ y) * z) * (y \ x). [hyper(3432,a,14034,a(flip))]. given #13264 (H,wt=19): 14040 (x \ y) \ (z / (y \ x)) = ((x \ y) * z) * (y \ x). [hyper(58,a,6574,a(flip),b,14037,a)]. given #13265 (H,wt=21): 14039 (x \ y) \ (z * ((y \ x) \ 1)) = ((y \ x) * z) * (x \ y). [hyper(58,a,13380,a,b,14037,a)]. given #13266 (H,wt=21): 14041 (((x \ y) * z) * (y \ x)) / (x \ y) = ((y \ x) \ 1) \ z. [para(14040(a,1),6571(a,1,1))]. given #13267 (H,wt=23): 14043 ((x \ y) \ 1) * ((y \ x) * ((x \ y) * z)) = ((y \ x) \ 1) \ z. [hyper(58,a,8707,a,b,14041,a)]. given #13268 (H,wt=25): 14042 K(x,y \ z) * (((y \ z) * x) * (z \ y)) = (z \ y) \ ((y \ z) \ x). [para(14039(a,1),9797(a,1,2))]. given #13269 (H,wt=19): 14044 (x \ y) \ ((y \ x) \ z) = (z * (y \ x)) * (x \ y). [hyper(9545,a,14042,a),flip(a)]. given #13270 (H,wt=19): 14045 (x * (y \ z)) * (z \ y) = (y \ z) * ((z \ y) * x). [hyper(58,a,13378,a(flip),b,14044,a),flip(a)]. given #13271 (H,wt=31): 14033 (x \ (x * (x / y))) \ (((x \ (x / (y / x))) * z) * u) = (z * (u * (y / x))) / (y / x). [para(3322(a,1),14031(a,1,1,2))]. given #13272 (H,wt=27): 14046 (x / y) \ (((x \ (x / (y / x))) * z) * u) = (z * (u * (y / x))) / (y / x). [para(4(a,1),14033(a,1,1))]. given #13273 (H,wt=27): 14048 (x / y) \ (((x \ (x * (x / y))) * z) * u) = (z * (u * (y / x))) / (y / x). [para(3322(a,1),14046(a,1,2,1,1,2))]. given #13274 (H,wt=23): 14049 (x * (y * (z / u))) / (z / u) = (u / z) \ (((u / z) * x) * y). [para(4(a,1),14048(a,1,2,1,1)),flip(a)]. given #13275 (H,wt=27): 14052 L(L(x,y,y \ z),z * y,z * y) = z \ ((y / z) \ (((y / z) * z) * x)). [para(14049(a,1),13356(a,2,2))]. given #13276 (H,wt=23): 14053 L(L(x,y,y \ z),z * y,z * y) = z \ ((y / z) \ (y * x)). [para(7(a,1),14052(a,2,2,2,1))]. given #13277 (H,wt=20): 14054 a(x,y,(1 / z) * x) \ y = x \ ((z / x) \ (z * y)). [hyper(58,a,13606,a(flip),b,14053,a)]. given #13278 (H,wt=18): 14056 a(x,y,z \ x) \ y = x \ ((z / x) \ (z * y)). [para(9243(a,1),14054(a,1,1))]. given #13279 (H,wt=16): 14057 x \ ((y / x) \ (y * z)) = L(z,x,y \ x). [hyper(13664,a,14056,a),flip(a)]. given #13280 (H,wt=29): 14051 R(x,y,(z / u) * ((z / u) \ (((z / u) * w) * v5))) = R(x,y,((u / z) \ w) * v5). [para(14049(a,1),13142(a,1,3,2))]. given #13281 (H,wt=21): 14059 R(x,y,((z / u) \ w) * v5) = R(x,y,((u / z) * w) * v5). [para(5(a,1),14051(a,1,3)),flip(a)]. given #13282 (H,wt=25): 14060 R(x,y,((z * (u \ 1)) / 1) * w) = R(x,y,((z / 1) * (1 / u)) * w). [hyper(58,a,13100,a,b,14059,a)]. given #13283 (H,wt=23): 14062 R(x,y,((z * (u \ 1)) / 1) * w) = R(x,y,(z * (1 / u)) * w). [para(70(a,1),14060(a,2,3,1,1))]. given #13284 (H,wt=21): 14063 R(x,y,(z * (1 / u)) * w) = R(x,y,(z * (u \ 1)) * w). [para(70(a,1),14062(a,1,3,1)),flip(a)]. given #13285 (H,wt=19): 14064 R(x,y,(z * (1 / u)) * w) = R(x,y,(z / u) * w). [hyper(272,a,8766,a(flip),b,14063,a),flip(a)]. given #13286 (H,wt=19): 14065 R(x,y,((z \ 1) / u) * w) = R(x,y,(u * z) \ w). [hyper(58,a,13093,a(flip),b,14064,a),flip(a)]. given #13287 (H,wt=19): 14067 R(x,y,(z * (1 / u)) \ w) = R(x,y,(u / z) * w). [para(74(a,1),14065(a,1,3,1,1)),flip(a)]. given #13288 (H,wt=21): 14066 R(x,y,(z * T(u,z)) \ w) = R(x,y,(z \ (1 / u)) * w). [hyper(13082,a,14065,a),flip(a)]. given #13289 (H,wt=19): 14068 R(x,y,(z \ (1 / u)) * w) = R(x,y,(u * z) \ w). [para(98(a,1),14066(a,1,3,1)),flip(a)]. given #13290 (H,wt=30): 14058 (x * y) \ (((y / x) / (x * y)) \ ((y / x) * z)) = L(z,x * y,x * ((x \ y) \ y)). [para(7442(a,1),14057(a,2,3))]. given #13291 (H,wt=30): 14070 (x * y) \ ((x \ (y \ (x \ y))) \ ((y / x) * z)) = L(z,x * y,x * ((x \ y) \ y)). [para(11259(a,1),14058(a,1,2,1))]. given #13292 (H,wt=28): 14071 (x * y) \ ((x * T(x,y)) * ((y / x) * z)) = L(z,x * y,x * ((x \ y) \ y)). [para(12226(a,1),14070(a,1,2))]. given #13293 (H,wt=26): 14072 L(x,y * z,y * ((y \ z) \ z)) = (y * z) \ (y * ((z * (x * y)) / y)). [para(12298(a,1),14071(a,1,2)),flip(a)]. given #13294 (H,wt=20): 14073 L(x,y * z,y * ((y \ z) \ z)) = L(L(x,z,y),z,y). [hyper(272,a,13763,a(flip),b,14072,a),flip(a)]. given #13295 (H,wt=20): 14074 L(x,y * z,y * (z * (y / z))) = L(L(x,z,y),z,y). [hyper(58,a,9069,a(flip),b,14073,a)]. given #13296 (H,wt=18): 14075 L(x,y * z,y * T(y,z)) = L(L(x,z,y),z,y). [hyper(58,a,9057,a(flip),b,14074,a)]. given #13297 (H,wt=31): 14038 L(x,(y \ z) * ((y \ z) \ (((y \ z) * u) * w)),v5) = L(x,((1 / (z \ y)) * u) * w,v5). [para(14034(a,1),10109(a,1,2,2))]. given #13298 (H,wt=23): 14076 L(x,((1 / (y \ z)) * u) * w,v5) = L(x,((z \ y) * u) * w,v5). [para(5(a,1),14038(a,1,2)),flip(a)]. given #13299 (H,wt=21): 14077 L(x,((y \ z) \ u) * w,v5) = L(x,((z \ y) * u) * w,v5). [hyper(9283,a,14076,a)]. given #13300 (H,wt=21): 14079 L(x,((y \ z) * ((z \ y) * u)) * w,v5) = L(x,u * w,v5). [para(4(a,1),14077(a,1,2,1)),flip(a)]. given #13301 (H,wt=21): 14081 L(x,((y / z) \ u) * w,v5) = L(x,((z / y) * u) * w,v5). [para(7299(a,1),14079(a,1,2,1)),flip(a)]. given #13302 (H,wt=25): 14080 L(x,((y \ z) \ K(u,z \ y)) * w,v5) = L(x,T(z \ y,u) * w,v5). [para(2652(a,2),14077(a,2,2,1))]. given #13303 (H,wt=23): 14083 L(x,T((y \ z) \ 1,u) * w,v5) = L(x,T(z \ y,u) * w,v5). [para(4436(a,1),14080(a,1,2,1))]. given #13304 (H,wt=21): 14084 L(x,T(y \ z,u) \ w,v5) = L(x,T(z \ y,u) * w,v5). [hyper(58,a,10039,a(flip),b,14083,a)]. given #13305 (H,wt=25): 14082 L(x,((y / z) \ K(u,z / y)) * w,v5) = L(x,T(z / y,u) * w,v5). [para(2652(a,2),14081(a,2,2,1))]. given #13306 (H,wt=23): 14086 L(x,T((y / z) \ 1,u) * w,v5) = L(x,T(z / y,u) * w,v5). [para(4458(a,1),14082(a,1,2,1))]. given #13307 (H,wt=21): 14087 L(x,T(y / z,u) \ w,v5) = L(x,T(z / y,u) * w,v5). [hyper(58,a,10039,a(flip),b,14086,a)]. given #13308 (H,wt=27): 14088 L(x,T(y / 1,z) * u,z \ (y \ z)) = L(x,(1 / y) \ u,T(1 / y,z)). [hyper(58,a,13565,a(flip),b,14087,a),flip(a)]. given #13309 (H,wt=25): 14089 L(x,(1 / y) \ z,T(1 / y,u)) = L(x,T(y,u) * z,u \ (y \ u)). [para(70(a,1),14088(a,1,2,1,1)),flip(a)]. given #13310 (H,wt=25): 14090 L(x,(1 / y) \ z,T(y,u) \ 1) = L(x,T(y,u) * z,u \ (y \ u)). [hyper(58,a,8974,a(flip),b,14089,a)]. given #13311 (H,wt=23): 14091 L(x,T(y,z) * u,z \ (y \ z)) = L(x,y * u,T(y,z) \ 1). [hyper(9254,a,14090,a),flip(a)]. given #13312 (H,wt=32): 14036 (x * (L(y,z \ u,z \ u) * (u \ z))) / (u \ z) = (x * (y / (z \ u))) / (1 / (z \ u)). [hyper(272,a,6484,a(flip),b,14034,a),flip(a)]. given #13313 (H,wt=27): 14092 (x * (y / ((z \ u) \ 1))) / (z \ u) = (x * (y / (u \ z))) / (1 / (u \ z)). [para(10084(a,1),14036(a,1,1,2))]. given #13314 (H,wt=25): 14093 (x * (y / (z \ u))) / (1 / (z \ u)) = (u \ z) * (((u \ z) \ x) * y). [hyper(58,a,1164,a(flip),b,14092,a),flip(a)]. given #13315 (H,wt=31): 14094 (x \ y) * (((x \ y) * (((x \ y) \ z) * u)) / (x \ y)) = (y \ x) * (z * (u / (y \ x))). [para(14093(a,1),8706(a,1,2,1))]. given #13316 (H,wt=23): 14095 (((x \ y) \ z) * u) * (x \ y) = (y \ x) * (z * (u / (y \ x))). [hyper(2809,a,14094,a)]. given #13317 (H,wt=31): 14096 ((x \ y) * (z * (u / (x \ y)))) * (x \ y) = (y \ x) * ((x \ y) * (((y \ x) \ z) * u)). [para(14095(a,1),14045(a,1,1))]. given #13318 (H,wt=36): 14085 L(L(x,T(1 \ y,z) * u,z \ (y \ z)),(y * z) \ z,(y * z) \ z) = a(u,x,(y * z) \ z) \ x. [para(14084(a,1),13951(a,1,1))]. given #13319 (H,wt=34): 14098 L(L(x,T(y,z) * u,z \ (y \ z)),(y * z) \ z,(y * z) \ z) = a(u,x,(y * z) \ z) \ x. [para(60(a,1),14085(a,1,1,2,1,1))]. given #13320 (H,wt=32): 14099 L(L(x,y * z,T(y,u) \ 1),(y * u) \ u,(y * u) \ u) = a(z,x,(y * u) \ u) \ x. [para(14091(a,1),14098(a,1,1))]. given #13321 (H,wt=30): 14100 L(R(x,T(y,z),y * u),(y * z) \ z,(y * z) \ z) = a(u,x,(y * z) \ z) \ x. [para(13628(a,2),14099(a,1,1))]. given #13322 (H,wt=30): 14101 L(R(x,y,T(y * z,u)),(y * u) \ u,(y * u) \ u) = a(z,x,(y * u) \ u) \ x. [para(13007(a,1),14100(a,1,1))]. given #13323 (H,wt=30): 14102 L(R(x,y,T(y * z,u)),(y * u) \ u,u \ (y \ u)) = a(z,x,(y * u) \ u) \ x. [hyper(58,a,9073,a(flip),b,14101,a)]. given #13324 (H,wt=28): 14103 L(R(x,y,T(y * z,u)),u / (y * u),y \ 1) = a(z,x,(y * u) \ u) \ x. [hyper(58,a,12491,a(flip),b,14102,a)]. given #13325 (H,wt=28): 14104 L(R(x,y,T(y * z,u)),u \ (u / y),y \ 1) = a(z,x,(y * u) \ u) \ x. [para(3305(a,1),14103(a,1,2))]. given #13326 (H,wt=26): 14105 R(R(x,y,T(y * z,u)),y,u \ (u / y)) = a(z,x,(y * u) \ u) \ x. [hyper(58,a,13628,a,b,14104,a)]. given #13327 (H,wt=26): 14106 L(R(x,y,T(y * z,u)),(u / y) \ u,y) = a(z,x,(y * u) \ u) \ x. [hyper(58,a,13722,a(flip),b,14105,a)]. given #13328 (H,wt=22): 14107 L(R(x,y,T(y * z,u)),y,y) = a(z,x,(y * u) \ u) \ x. [para(74(a,1),14106(a,1,2))]. given #13329 (H,wt=21): 14108 R(x,y,T(y * z,u) * y) = a(z,x,(y * u) \ u) \ x. [hyper(13601,a,14107,a)]. given #13330 (H,wt=21): 14109 L(x,T(y * z,u) \ y,y) = a(z,x,(y * u) \ u) \ x. [hyper(58,a,13784,a(flip),b,14108,a)]. given #13331 (H,wt=41): 14069 L(x,(1 / T(y,K(z,u))) * (K(z,u) / w),(1 / T(y,K(z,u))) \ 1) = R(x,T(y,K(z,u)),(y * (1 / w)) \ K(z,u)). [hyper(58,a,13995,a,b,14068,a)]. given #13332 (H,wt=39): 14110 L(x,(1 / T(y,K(z,u))) * (K(z,u) / w),(1 / T(y,K(z,u))) \ 1) = R(x,T(y,K(z,u)),(w / y) * K(z,u)). [hyper(272,a,14067,a(flip),b,14069,a),flip(a)]. given #13333 (H,wt=39): 14111 L(x,(1 / T(y,K(z,u))) * (K(z,u) / w),(1 / T(y,K(z,u))) \ 1) = R(x,y,T((w / y) * K(z,u),K(z,u))). [hyper(272,a,13007,a(flip),b,14110,a),flip(a)]. given #13334 (H,wt=35): 14112 L(x,(1 / T(y,K(z,u))) * (K(z,u) / w),(1 / T(y,K(z,u))) \ 1) = R(x,y,K(z,u) * (w / y)). [para(3879(a,1),14111(a,2,3))]. given #13335 (H,wt=31): 14113 L(x,K(y,z) / (u / (w \ 1)),(1 / T(w,K(y,z))) \ 1) = R(x,w,K(y,z) * (u / w)). [para(11125(a,1),14112(a,1,2))]. given #13336 (H,wt=27): 14114 L(x,K(y,z) / (u / (w \ 1)),T(w,K(y,z))) = R(x,w,K(y,z) * (u / w)). [para(74(a,1),14113(a,1,3))]. given #13337 (H,wt=23): 14115 L(x,K(y,z) / (u / (w \ 1)),w) = R(x,w,K(y,z) * (u / w)). [hyper(11013,a,14114,a)]. given #13338 (H,wt=23): 14118 L(x,K(y,z) * ((u \ 1) / w),u) = R(x,u,K(y,z) * (w / u)). [hyper(58,a,10007,a(flip),b,14115,a)]. given #13339 (H,wt=21): 14119 R(x,y,K(z,u) * (w / y)) = L(x,K(z,u) / (w * y),y). [hyper(58,a,10031,a(flip),b,14118,a),flip(a)]. given #13340 (H,wt=21): 14120 R(x,y,K(z,u) * (w / y)) = L(x,(w * y) \ K(z,u),y). [hyper(272,a,11672,a(flip),b,14119,a),flip(a)]. given #13341 (H,wt=21): 14121 R(x,y,K(z,u) * (w / y)) = L(x,y \ (w \ K(z,u)),y). [hyper(272,a,12567,a(flip),b,14120,a),flip(a)]. given #13342 (H,wt=19): 14122 L(x,y \ (z \ K(y,u)),y) = R(x,y,T(y,u) \ z). [hyper(58,a,8099,a(flip),b,14121,a),flip(a)]. given #13343 (H,wt=15): 14123 R(x,y,T(y,z) \ u) = R(x,y,y \ u). [hyper(58,a,13564,a(flip),b,14122,a),flip(a)]. given #13344 (H,wt=17): 14125 R(x,y,y \ (y * z)) = R(x,y,K(y,u) * z). [para(3944(a,1),14123(a,1,3)),flip(a)]. given #13345 (H,wt=13): 14126 R(x,y,K(y,z) * u) = R(x,y,u). [para(4(a,1),14125(a,1,3)),flip(a)]. given #13346 (H,wt=32): 14128 L(R(x,y,T(T(z,y),u)),1 / T(y,u),1 / T(y,u)) = a(z / y,x,1 / T(y,u)) \ x. [para(14126(a,1),13953(a,1,1))]. given #13347 (H,wt=30): 14129 L(R(x,y,T(z,u)),1 / T(y,u),1 / T(y,u)) = a(z / y,x,1 / T(y,u)) \ x. [para(8095(a,1),14128(a,1,1))]. given #13348 (H,wt=26): 14131 L(R(x,y,T(z,u)),T(y,u),T(y,u)) = a(z / y,x,1 / T(y,u)) \ x. [hyper(6988,a,14129,a)]. given #13349 (H,wt=22): 14132 L(R(x,y,T(z,u)),y,y) = a(z / y,x,1 / T(y,u)) \ x. [hyper(6181,a,14131,a)]. given #13350 (H,wt=21): 14133 a(x / y,z,1 / T(y,u)) \ z = R(z,y,T(x,u) * y). [hyper(13601,a,14132,a),flip(a)]. given #13351 (H,wt=21): 14135 a(x / y,z,1 / T(y,u)) \ z = L(z,T(x,u) \ y,y). [hyper(272,a,13784,a(flip),b,14133,a),flip(a)]. given #13352 (H,wt=21): 14136 a(x / y,z,T(y,u) \ 1) \ z = L(z,T(x,u) \ y,y). [para(2601(a,1),14135(a,1,1))]. given #13353 (H,wt=21): 14137 a(x,T(y,z) \ 1,u / y) \ x = L(x,T(u,z) \ y,y). [hyper(58,a,13658,a,b,14136,a)]. given #13354 (H,wt=19): 14138 a(T(x,y),x / z,u) \ u = L(u,T(z,y) \ x,x). [para(12435(a,1),14137(a,1,1))]. given #13355 (H,wt=19): 14139 a(x,T(y,z),y / u) \ x = L(x,T(u,z) \ y,y). [hyper(58,a,13658,a(flip),b,14138,a)]. given #13356 (H,wt=19): 14140 a(x,y,T(z \ y,u)) \ x = L(x,T(z,u) \ y,y). [para(12511(a,1),14139(a,1,1))]. given #13357 (H,wt=17): 14141 L(x,T(y \ z,u),z) = L(x,T(y,u) \ z,z). [hyper(13663,a,14140,a)]. given #13358 (H,wt=17): 14142 L(x,T(y,z) \ u,u) = L(x,y \ u,T(u,z)). [hyper(58,a,12467,a(flip),b,14141,a),flip(a)]. given #13359 (H,wt=21): 14143 L(x,(y * z) \ y,T(y,u)) = a(z,x,(y * u) \ u) \ x. [hyper(58,a,14109,a(flip),b,14142,a),flip(a)]. given #13360 (H,wt=17): 14144 a(x,y,(z * u) \ u) \ y = R(y,T(z,u),x). [hyper(58,a,13721,a(flip),b,14143,a),flip(a)]. given #13361 (H,wt=17): 14146 a(x,y,(z * u) \ u) \ y = R(y,z,T(x,u)). [hyper(272,a,13007,a(flip),b,14144,a),flip(a)]. given #13362 (H,wt=17): 14147 a(x,y,z \ (u \ z)) \ y = R(y,u,T(x,z)). [para(9316(a,1),14146(a,1,1))]. given #13363 (H,wt=15): 14148 L(x,y,z \ (u \ z)) = R(x,u,T(y,z)). [hyper(13664,a,14147,a)]. given #13364 (H,wt=26): 14149 L(x,y,z \ (u \ z)) * L(x,y,z \ (u \ z)) = R(x * x,u,T(y,z)). [hyper(58,a,13875,a,b,14148,a)]. given #13365 (H,wt=24): 14150 R(x,y,T(z,u)) * L(x,z,u \ (y \ u)) = R(x * x,y,T(z,u)). [para(14148(a,1),14149(a,1,1))]. given #13366 (H,wt=22): 14151 R(x,y,T(z,u)) * R(x,y,T(z,u)) = R(x * x,y,T(z,u)). [para(14148(a,1),14150(a,1,2))]. given #13367 (H,wt=18): 14152 R(x * x,y,T(z,u)) = R(x,y,z) * R(x,y,z). [hyper(58,a,13943,a(flip),b,14151,a),flip(a)]. given #13368 (H,wt=16): 14153 R(x,y,z) * R(x,y,z) = R(x * x,y,z). [hyper(13049,a,14152,a),flip(a)]. given #13369 (H,wt=18): 14155 a(x,y,z) = R(x,y,z) \ (R(x * x,y,z) / x). [para(14153(a,1),13016(a,1,2,1)),flip(a)]. given #13370 (H,wt=24): 14156 R(x,y * y,z) \ ((x * R(x,z,y * y)) / x) = a(x,y * y,z). [para(13950(a,1),14155(a,2,2,1)),flip(a)]. given #13371 (H,wt=22): 14157 R(x,y * y,z) \ T(R(x,z,y * y),x) = a(x,y * y,z). [para(2774(a,2),14156(a,1,2))]. given #13372 (H,wt=20): 14158 R(x,y * y,z) \ R(x,z,y * y) = a(x,y * y,z). [para(160(a,1),14157(a,1,2))]. given #13373 (H,wt=20): 14159 a(x,y * y,z) \ a(x,z,y * y) = a(x,y * y,z). [hyper(58,a,13021,a,b,14158,a)]. given #13374 (H,wt=41): 14097 ((x \ y) \ 1) * ((y \ x) * ((x \ y) * (((y \ x) \ z) * u))) = (x \ y) * (((x \ y) * (z * (u / (x \ y)))) / (x \ y)). [para(14096(a,1),3541(a,1,2))]. given #13375 (H,wt=33): 14160 (x \ y) * (((x \ y) * (z * (u / (x \ y)))) / (x \ y)) = ((y \ x) \ 1) \ (((y \ x) \ z) * u). [hyper(58,a,14043,a(flip),b,14097,a),flip(a)]. given #13376 (H,wt=25): 14161 ((x \ y) \ 1) \ (((x \ y) \ z) * u) = (z * (u / (y \ x))) * (y \ x). [hyper(2809,a,14160,a),flip(a)]. given #13377 (H,wt=25): 14162 (x * ((y / z) \ z)) * ((y \ z) \ 1) = (x * (z / (z \ y))) * (z \ y). [hyper(58,a,3516,a(flip),b,14161,a)]. given #13378 (H,wt=28): 14163 R(x,(y / z) \ z,((y / z) \ z) \ z) = ((x * (z / (z \ y))) * (z \ y)) / z. [para(14162(a,1),3487(a,2,1))]. given #13379 (H,wt=25): 14164 R(x,(y / z) \ z,((y / z) \ z) \ z) = R(x,(z \ y) \ z,z \ y). [hyper(272,a,8094,a(flip),b,14163,a),flip(a)]. given #13380 (H,wt=25): 14165 R(x,(y / z) \ z,((y / z) \ z) \ z) = R(x,(y \ z) * z,z \ y). [hyper(272,a,13047,a(flip),b,14164,a),flip(a)]. given #13381 (H,wt=25): 14166 R(x,(y / z) \ z,((y / z) \ z) \ z) = R(x,z * (z / y),z \ y). [hyper(272,a,9353,a(flip),b,14165,a),flip(a)]. given #13382 (H,wt=23): 14167 R(x,(y / z) \ z,(y \ z) \ 1) = R(x,z * (z / y),z \ y). [para(3464(a,1),14166(a,1,3))]. given #13383 (H,wt=23): 14168 R(x,(y / z) \ z,(z \ y) * 1) = R(x,z * (z / y),z \ y). [hyper(13057,a,14167,a)]. given #13384 (H,wt=21): 14169 R(x,(y / z) \ z,z \ y) = R(x,z * (z / y),z \ y). [para(3(a,1),14168(a,1,3))]. given #13385 (H,wt=21): 14170 R(x,(y / z) * y,y \ z) = R(x,y * (y / z),y \ z). [hyper(13045,a,14169,a)]. given #13386 (H,wt=21): 14171 R(x,y * (y / z),y \ z) = R(x,y * (z \ y),y \ z). [hyper(58,a,9354,a(flip),b,14170,a),flip(a)]. given #13387 (H,wt=19): 14172 R(x,y * (z \ y),y \ z) = L(x,y \ z,z \ 1). [hyper(58,a,13068,a(flip),b,14171,a),flip(a)]. given #13388 (H,wt=33): 14173 R(x,y * (z \ (1 / (z * y))),(z \ y) \ (y * y)) = L(x,(z \ y) \ (y * y),(y * y) \ 1). [para(7452(a,1),14172(a,1,2))]. given #13389 (H,wt=33): 14174 R(x,y * (z \ (1 / (z * y))),(y \ z) * (y * y)) = L(x,(z \ y) \ (y * y),(y * y) \ 1). [hyper(13057,a,14173,a)]. given #13390 (H,wt=33): 14175 R(x,y * (z \ (1 / (z * y))),y * (y * (y \ z))) = L(x,(z \ y) \ (y * y),(y * y) \ 1). [para(2956(a,1),14174(a,1,3))]. given #13391 (H,wt=29): 14176 R(x,y * (z \ (1 / (z * y))),y * z) = L(x,(z \ y) \ (y * y),(y * y) \ 1). [para(5(a,1),14175(a,1,3,2))]. given #13392 (H,wt=29): 14177 R(x,y * (z \ (1 / (z * y))),y * z) = L(x,(z \ y) \ (y * y),y \ (y \ 1)). [hyper(272,a,9100,a(flip),b,14176,a),flip(a)]. given #13393 (H,wt=29): 14179 R(x,y * (z \ (1 / (z * y))),y * z) = L(x,y * (y / (z \ y)),y \ (y \ 1)). [hyper(272,a,9253,a(flip),b,14177,a),flip(a)]. given #13394 (H,wt=25): 14180 R(x,y * (z \ (1 / (z * y))),y * z) = L(x,y * z,y \ (y \ 1)). [para(72(a,1),14179(a,2,2,2))]. given #13395 (H,wt=25): 14182 R(x,y \ (T(y,z) \ 1),T(z * y,z)) = L(x,z * y,z \ (z \ 1)). [hyper(58,a,13994,a(flip),b,14180,a)]. given #13396 (H,wt=23): 14183 R(x,y \ (T(y,z) \ 1),y * z) = L(x,z * y,z \ (z \ 1)). [hyper(58,a,8745,a(flip),b,14182,a)]. given #13397 (H,wt=23): 14184 L(x,y * z,(T(y,z) \ 1) \ y) = L(x,z * y,z \ (z \ 1)). [hyper(58,a,13637,a(flip),b,14183,a)]. given #13398 (H,wt=21): 14185 L(x,y * z,y \ (y \ 1)) = L(x,z * y,z * T(z,y)). [para(3035(a,1),14184(a,1,3)),flip(a)]. given #13399 (H,wt=19): 14186 R(x,y * y,y * z) = L(x,z * y,z * T(z,y)). [hyper(58,a,13636,a(flip),b,14185,a)]. given #13400 (H,wt=19): 14187 L(x,y \ z,z * z) = L(x,y * z,y * T(y,z)). [hyper(58,a,13856,a(flip),b,14186,a)]. given #13401 (H,wt=16): 14188 L(L(x,y,z),y,z) = L(x,z \ y,y * y). [hyper(272,a,14075,a(flip),b,14187,a)]. given #13402 (H,wt=15): 14189 L(x,y \ z,z * z) = L(x,z,y * y). [hyper(58,a,13896,a(flip),b,14188,a),flip(a)]. given #13403 (H,wt=13): 14190 R(x,y * y,z) = L(x,y,z * z). [hyper(58,a,13905,a(flip),b,14189,a)]. given #13404 (H,wt=15): 14191 a(x,y,z * z) = y \ L(y,z,x * x). [hyper(112,a,14190,a(flip),b,13629,a(flip)),flip(a)]. given #13405 (H,wt=15): 14192 a(x,y * y,z) = x \ L(x,y,z * z). [hyper(112,a,14190,a(flip),b,12970,a(flip)),flip(a)]. given #13406 (H,wt=15): 14194 x * L(x,y,z * z) = R(x * x,y,z). [para(14190(a,1),13907(a,1,2))]. given #13407 (H,wt=13): 14196 R(x * x,y,z) = L(x * x,y,z). [hyper(58,a,13895,a(flip),b,14194,a),flip(a)]. given #13408 (H,wt=16): 14195 R(x,y,z) \ L(x,z,y) = a(y,x * x,z). [hyper(272,a,13900,a,b,14192,a)]. given #13409 (H,wt=15): 14201 x \ L(x,y,z * z) = a(z,x * x,y). [hyper(58,a,13898,a(flip),b,14195,a)]. given #13410 (H,wt=13): 14203 a(x,y * y,z) = a(x,y,z * z). [hyper(58,a,14191,a,b,14201,a),flip(a)]. given #13411 (H,wt=16): 14197 R(x,y,z) * R(x,y,z) = L(x * x,y,z). [hyper(58,a,14153,a,b,14196,a)]. given #13412 (H,wt=18): 14193 x \ L(x,y,z * z) != u | a(z,x,y * y) = u. [para(14190(a,1),13639(a,1,2))]. given #13413 (H,wt=18): 14198 L(x * x,y,z) * (y * z) = ((x * x) * y) * z. [para(14196(a,1),93(a,1,1))]. given #13414 (H,wt=19): 14204 a(x,y * y,z * z) = a(x,y,z * (z * (z * z))). [hyper(272,a,9244,a(flip),b,14203,a),flip(a)]. given #13415 (H,wt=21): 14199 x \ (x \ (y * L(x * x,z,u))) = y * a(z,u,x * x). [para(14196(a,1),13684(a,1,2,2,2))]. given #13416 (H,wt=17): 14207 a(x,y * y,z) \ u = u * a(x,z,y * y). [hyper(58,a,13689,a(flip),b,14199,a)]. given #13417 (H,wt=15): 14209 a(x,y * y,z \ 1) = a(x,z,y * y). [hyper(111,a,14207,a(flip),b,13652,a),flip(a)]. given #13418 (H,wt=17): 14211 a(x,y * y,z \ 1) = z \ L(z,y,x * x). [hyper(272,a,14191,a(flip),b,14209,a),flip(a)]. given #13419 (H,wt=13): 14212 L(x,y * y,z) = L(x,y,z * z). [hyper(13735,a,14211,a)]. given #13420 (H,wt=13): 14213 R(x,y * y,z) = L(x,y * y,z). [hyper(272,a,14190,a,b,14212,a)]. given #13421 (H,wt=16): 14214 a(x,y,z) \ L(x,z,y) = L(x,z * z,y). [hyper(272,a,13897,a,b,14212,a)]. given #13422 (H,wt=18): 14210 a(x,y * y,z) \ 1 != u | a(x,z,y * y) = u. [para(14207(a,2),115(a,1))]. given #13423 (H,wt=19): 14216 x * (y * L(z,x * x,y)) = (x * y) * R(z,x,y). [para(14213(a,1),13909(a,1,2,2))]. given #13424 (H,wt=20): 14208 a(x,y,z * z) * a(x,y,z * z) = a(x,z * z,y). [hyper(58,a,14159,a(flip),b,14207,a),flip(a)]. given #13425 (H,wt=15): 14220 a(x,y * y,z * z) = a(x,z * z,y). [hyper(13920,a,14208,a)]. given #13426 (H,wt=17): 14221 a(x,y,z * (z * (z * z))) = a(x,z * z,y). [hyper(58,a,14204,a(flip),b,14220,a)]. given #13427 (H,wt=20): 14215 (x * x) * (y * L(z,x * x,y)) = ((x * x) * y) * z. [para(14213(a,1),13695(a,1,2,2))]. given #13428 (H,wt=20): 14218 a(x,y,z) * (L(x,z * z,y) * u) = L(x,z,y) * u. [para(14214(a,1),13962(a,1,2,1))]. given #13429 (H,wt=21): 14200 x * (x * (y / L(x * x,z,u))) = a(z,u,x * x) \ y. [para(14196(a,1),13870(a,1,2,2,2))]. given #13430 (H,wt=17): 14223 a(x,y,z * z) \ u = u * a(x,z * z,y). [hyper(58,a,13678,a(flip),b,14200,a),flip(a)]. given #13431 (H,wt=21): 14202 T(x,a(y,z * z,u) \ w) = T(x,a(z,y * y,u) * w). [para(14195(a,1),13934(a,1,2,1)),flip(a)]. given #13432 (H,wt=21): 14225 T(x,a(y,z * z,u) * w) = T(x,w * a(z,u,y * y)). [para(14207(a,1),14202(a,1,2)),flip(a)]. given #13433 (H,wt=22): 14206 T(L(x * x,y,z) * u,u) = u * (R(x,y,z) * R(x,y,z)). [para(14197(a,1),3378(a,1,1,1))]. given #13434 (H,wt=24): 14222 T(x,L(y,z * z,u) * (a(y,u,z) * w)) = T(x,L(y,z,u) * w). [para(14218(a,1),11863(a,1,2)),flip(a)]. given #13435 (H,wt=25): 14205 a(x,(y * y) * (T(y,z) * T(y,z)),u) = a(x,y * T(y,z),u * u). [para(6783(a,1),14203(a,1,2))]. given #13436 (H,wt=21): 14227 a(x,(y * y) * (y * y),z) = a(x,y * T(y,u),z * z). [para(3155(a,1),14205(a,1,2,2))]. given #13437 (H,wt=21): 14228 a(x,y * T(y,z),u * u) = a(x,y * (y * (y * y)),u). [para(2956(a,1),14227(a,1,2)),flip(a)]. given #13438 (H,wt=21): 14230 a(x,y * T(y,z),u * u) = a(u,x,y * (y * (y * y))). [hyper(272,a,13641,a(flip),b,14228,a),flip(a)]. given #13439 (H,wt=17): 14231 a(x,y * T(y,z),u * u) = a(u,y * y,x). [hyper(272,a,14221,a(flip),b,14230,a),flip(a)]. given #13440 (H,wt=17): 14233 a(x,y * T(y,z),u * u) = a(x,u,y * y). [hyper(272,a,13641,a(flip),b,14231,a),flip(a)]. given #13441 (H,wt=17): 14234 a(x,y * (y * (y * y)),z) = a(x,z,y * y). [hyper(58,a,14228,a(flip),b,14233,a)]. given #13442 (H,wt=24): 14232 a(x,y * T(y,z),u * u) != w | a(x,y * (y * (y * y)),u) = w. [para(14230(a,2),13691(a,1))]. given #13443 (H,wt=25): 14226 (x * y) * (R(z,x,y) * R(z,x,y)) = T(((z * z) * x) * y,x * y). [para(14198(a,1),14206(a,1,1)),flip(a)]. given #13444 (H,wt=22): 14235 T(((x * x) * y) * z,y * z) = (y * z) * L(x * x,y,z). [para(14197(a,1),14226(a,1,2)),flip(a)]. given #13445 (H,wt=24): 14236 T(((x * x) * y) * z,y * z) != u | T(z,y) * (y * (x * x)) = u. [para(14235(a,2),9006(a,1))]. given #13446 (H,wt=32): 14219 T((x * x) * (y * L(z,x * x,y)),y * L(z,x * x,y)) = x * ((x * y) * R(z,x,y)). [para(14216(a,1),3429(a,2,2))]. given #13447 (H,wt=27): 14237 T(((x * x) * y) * z,y * L(z,x * x,y)) = x * ((x * y) * R(z,x,y)). [para(14215(a,1),14219(a,1,1))]. given #13448 (H,wt=34): 14217 T(x,a(y,z,u) * (a(y,z,u) * (w * L(y,u * u,z)))) = T(x,w * (a(y,z,u) * L(y,u,z))). [para(14214(a,1),11784(a,1,2,2,2,2))]. given #13449 (H,wt=31): 14238 T(x,a(y,z * z,u) * (w * L(y,u * u,z))) = T(x,w * (a(y,z,u) * L(y,u,z))). [para(13922(a,1),14217(a,1,2))]. given #13450 (H,wt=23): 14239 T(x,a(y,z * z,u) * (w * L(y,u * u,z))) = T(x,w * y). [para(13660(a,1),14238(a,2,2,2))]. given #13451 (H,wt=67): 14224 T(x,y * (y * (a(z,u,w * w) \ (a(z,u,w * w) \ (a(z,u,w * w) \ (a(z,u,w * w) \ (a(z,u,w * w) \ (y * a(z,w * w,u))))))))) = T(x,(a(z,u,w * w) / y) * a(z,u,w * w)). [para(14223(a,1),12064(a,1,2,2,2,2,2,2,2,2))]. given #13452 (H,wt=67): 14240 T(x,y * (y * (a(z,u,w * w) \ (a(z,u,w * w) \ (a(z,u,w * w) \ (a(z,u,w * w) \ ((y * a(z,w * w,u)) * a(z,w * w,u)))))))) = T(x,(a(z,u,w * w) / y) * a(z,u,w * w)). [para(14223(a,1),14224(a,1,2,2,2,2,2,2,2))]. given #13453 (H,wt=64): 14241 T(x,y * (y * (a(z,u,w * w) \ (a(z,u,w * w) \ (a(z,u,w * w) \ (a(z,u,w * w) \ (y * a(z,(w * w) * (w * w),u)))))))) = T(x,(a(z,u,w * w) / y) * a(z,u,w * w)). [para(13923(a,1),14240(a,1,2,2,2,2,2,2,2))]. given #13454 (H,wt=64): 14242 T(x,y * (y * (a(z,u,w * w) \ (a(z,u,w * w) \ (a(z,u,w * w) \ (a(z,u,w * w) \ (y * a(z,w * (w * (w * w)),u)))))))) = T(x,(a(z,u,w * w) / y) * a(z,u,w * w)). [para(2956(a,1),14241(a,1,2,2,2,2,2,2,2,2,2))]. given #13455 (H,wt=60): 14243 T(x,y * (y * (a(z,u,w * w) \ (a(z,u,w * w) \ (a(z,u,w * w) \ (a(z,u,w * w) \ (y * a(z,u,w * w)))))))) = T(x,(a(z,u,w * w) / y) * a(z,u,w * w)). [para(14234(a,1),14242(a,1,2,2,2,2,2,2,2,2))]. given #13456 (H,wt=53): 14244 T(x,y * (y * (a(z,u,w * w) \ (a(z,u,w * w) \ (a(z,u,w * w) \ T(y,a(z,u,w * w))))))) = T(x,(a(z,u,w * w) / y) * a(z,u,w * w)). [para(17(a,2),14243(a,1,2,2,2,2,2,2))]. given #13457 (H,wt=53): 14245 T(x,y * (y * (a(z,u,w * w) \ (a(z,u,w * w) \ (a(z,u,w * w) \ L(y,w * w,K(z,u))))))) = T(x,(a(z,u,w * w) / y) * a(z,u,w * w)). [para(10711(a,2),14244(a,1,2,2,2,2,2,2))]. given #13458 (H,wt=46): 14246 T(x,y * (y * (a(z,u,w * w) \ (a(z,u,w * w) \ (a(z,u,w * w) \ y))))) = T(x,(a(z,u,w * w) / y) * a(z,u,w * w)). [para(12191(a,1),14245(a,1,2,2,2,2,2,2))]. given #13459 (H,wt=46): 14247 T(x,y * (y * (a(z,u,w * w) \ (a(z,u,w * w) \ (y * a(z,w * w,u)))))) = T(x,(a(z,u,w * w) / y) * a(z,u,w * w)). [para(14223(a,1),14246(a,1,2,2,2,2,2))]. given #13460 (H,wt=46): 14248 T(x,y * (y * (a(z,u,w * w) \ ((y * a(z,w * w,u)) * a(z,w * w,u))))) = T(x,(a(z,u,w * w) / y) * a(z,u,w * w)). [para(14223(a,1),14247(a,1,2,2,2,2))]. given #13461 (H,wt=43): 14249 T(x,y * (y * (a(z,u,w * w) \ (y * a(z,(w * w) * (w * w),u))))) = T(x,(a(z,u,w * w) / y) * a(z,u,w * w)). [para(13923(a,1),14248(a,1,2,2,2,2))]. given #13462 (H,wt=43): 14250 T(x,y * (y * (a(z,u,w * w) \ (y * a(z,w * (w * (w * w)),u))))) = T(x,(a(z,u,w * w) / y) * a(z,u,w * w)). [para(2956(a,1),14249(a,1,2,2,2,2,2,2))]. given #13463 (H,wt=39): 14251 T(x,y * (y * (a(z,u,w * w) \ (y * a(z,u,w * w))))) = T(x,(a(z,u,w * w) / y) * a(z,u,w * w)). [para(14234(a,1),14250(a,1,2,2,2,2,2))]. given #13464 (H,wt=32): 14252 T(x,(a(y,z,u * u) / w) * a(y,z,u * u)) = T(x,w * (w * T(w,a(y,z,u * u)))). [para(17(a,2),14251(a,1,2,2,2)),flip(a)]. given #13465 (H,wt=32): 14253 T(x,(a(y,z,u * u) / w) * a(y,z,u * u)) = T(x,w * (w * L(w,u * u,K(y,z)))). [para(10711(a,2),14252(a,2,2,2,2))]. given #13466 (H,wt=25): 14254 T(x,(a(y,z,u * u) / w) * a(y,z,u * u)) = T(x,w * (w * w)). [hyper(272,a,12644,a(flip),b,14253,a),flip(a)]. given #13467 (H,wt=23): 14256 T(x,(a(y,z,u * u) / w) * a(y,z,u * u)) = T(x,w \ 1). [hyper(272,a,7737,a(flip),b,14254,a),flip(a)]. given #13468 (H,wt=26): 14257 T(x,a(y,z,u * u) \ (a(y,z,u * u) \ w)) = L(T(x,w \ 1),w,w). [para(14256(a,1),13209(a,1,1)),flip(a)]. given #13469 (H,wt=21): 14258 T(x,a(y,z,u * u) \ (a(y,z,u * u) \ w)) = T(x,w). [hyper(272,a,2925,a(flip),b,14257,a),flip(a)]. given #13470 (H,wt=21): 14259 T(x,a(y,z,u * u) \ (w * a(y,u * u,z))) = T(x,w). [para(14223(a,1),14258(a,1,2,2))]. given #13471 (H,wt=21): 14260 T(x,(y * a(z,u * u,w)) * a(z,u * u,w)) = T(x,y). [para(14223(a,1),14259(a,1,2))]. given #13472 (H,wt=18): 14261 T(x,y * a(z,(u * u) * (u * u),w)) = T(x,y). [para(13923(a,1),14260(a,1,2))]. given #13473 (H,wt=18): 14262 T(x,y * a(z,u * (u * (u * u)),w)) = T(x,y). [para(2956(a,1),14261(a,1,2,2,2))]. given #13474 (H,wt=14): 14263 T(x,y * a(z,u,w * w)) = T(x,y). [para(14234(a,1),14262(a,1,2,2))]. given #13475 (H,wt=14): 14265 T(x,a(y,z * z,u) * w) = T(x,w). [hyper(58,a,14225,a,b,14263,a)]. given #13476 (H,wt=16): 14264 T(x,L(y,z * z,u) * w) = T(x,y * w). [hyper(11023,a,14263,a)]. given #13477 (H,wt=16): 14268 T(x,y * L(z,u * u,w)) = T(x,y * z). [hyper(58,a,14239,a(flip),b,14265,a),flip(a)]. given #13478 (H,wt=19): 14269 T(x,y * (a(y,z,u) * w)) = T(x,L(y,u,z) * w). [hyper(58,a,14222,a(flip),b,14264,a),flip(a)]. given #13479 (H,wt=17): 14273 T(x,R(y,z,u) * w) = T(x,L(y,u,z) * w). [para(12971(a,1),14269(a,1,2))]. given #13480 (H,wt=22): 14271 T(((x * x) * y) * z,y * z) = x * ((x * y) * R(z,x,y)). [hyper(58,a,14237,a(flip),b,14268,a),flip(a)]. given #13481 (H,wt=20): 14275 x * ((x * y) * R(z,x,y)) = T(z,y) * (y * (x * x)). [hyper(14236,a,14271,a),flip(a)]. given #13482 (H,wt=20): 14277 x * ((x * y) * R(z,x,y)) = T(z,y) * (x * (x * y)). [para(2956(a,1),14275(a,2,2))]. given #13483 (H,wt=22): 14278 (T(x,y) * (z * (z * y))) / T(z * (z * y),x) = L(x,z,z). [para(14277(a,1),13932(a,1,1))]. given #13484 (H,wt=16): 14279 T(x,y) * K(x,z * (z * y)) = L(x,z,z). [hyper(3985,a,14278,a)]. given #13485 (H,wt=16): 14280 K(x,y) * T(x,z * (z * y)) = L(x,z,z). [hyper(4267,a,14279,a)]. given #13486 (H,wt=16): 14281 K(x,y) * T(y,z * (z * x)) = L(y,z,z). [para(28(a,1),14280(a,1,1))]. given #13487 (H,wt=14): 14282 T(T(x,y),(y * z) * z) = L(x,z,z). [hyper(58,a,11903,a(flip),b,14281,a)]. given #13488 (H,wt=14): 14283 T(T(x,y),z * (z * y)) = L(x,z,z). [hyper(6102,a,14282,a)]. given #13489 (H,wt=14): 14284 T(x,y * (y * z)) = L(T(x,z),y,y). [para(2765(a,1),14283(a,1,1))]. given #13490 (H,wt=16): 14287 T(x,y * (y * y)) != z | T(x,y \ 1) = z. [para(14284(a,2),6130(a,1))]. given #13491 (H,wt=18): 14286 L(T(x,y * (z / u)),u,u) = T(x,y * (z * u)). [hyper(58,a,11811,a(flip),b,14284,a),flip(a)]. given #13492 (H,wt=15): 14291 T(x,y \ (y \ z)) = T(x,y * (y * z)). [hyper(58,a,13207,a(flip),b,14286,a)]. given #13493 (H,wt=14): 14292 T(x,y \ (y \ z)) = L(T(x,z),y,y). [hyper(272,a,14284,a(flip),b,14291,a),flip(a)]. given #13494 (H,wt=14): 14298 L(T(x,y * z),y,y) = T(x,y \ z). [para(4(a,1),14292(a,1,2,2)),flip(a)]. given #13495 (H,wt=18): 14289 T(x,x \ 1) * (y / x) != z | T(y,x \ 1) = z. [para(7736(a,2),14287(a,1))]. given #13496 (H,wt=19): 14290 T(x,y \ (T(y,z) \ u)) = T(x,y * (T(y,z) * u)). [hyper(58,a,13243,a(flip),b,14286,a)]. given #13497 (H,wt=20): 14299 L(T(x,y * (z \ (y / z))),y,y) = T(x,z * T(z,y)). [hyper(272,a,12212,a(flip),b,14298,a),flip(a)]. given #13498 (H,wt=19): 14301 L(L(x,y * z,y * z),y,y) = T(x,z * T(z,y)). [para(13187(a,1),14299(a,1,1))]. given #13499 (H,wt=20): 14300 L(T(x,T(y,z) \ u),z,z) = T(x,z \ (y \ (z \ u))). [para(11830(a,1),14298(a,1,1))]. given #13500 (H,wt=22): 14296 T(x,y \ (z \ (y \ (z \ u)))) = L(T(x,u),y * z,y * z). [hyper(58,a,12677,a(flip),b,14292,a)]. given #13501 (H,wt=23): 14274 T(x,L(y,z,u) * (T(w,y) * v5)) = T(x,w * (R(y,u,z) * v5)). [hyper(58,a,11966,a(flip),b,14273,a),flip(a)]. given #13502 (H,wt=21): 14302 T(x,y * (R(z,u,w) * v5)) = T(x,y * (L(z,w,u) * v5)). [hyper(58,a,11864,a(flip),b,14274,a),flip(a)]. given #13503 (H,wt=24): 14288 T(x,y * (y * (L(T(z,y),u,u) \ u))) = T(x,y * (z \ (y * u))). [para(14284(a,1),13262(a,1,2,2,2,1))]. given #13504 (H,wt=23): 14304 L(T(x,L(T(y,z),u,u) \ u),z,z) = T(x,z * (y \ (z * u))). [hyper(58,a,14284,a(flip),b,14288,a)]. given #13505 (H,wt=20): 14305 L(T(x,T(y,z) \ u),z,z) = T(x,z * (y \ (z * u))). [para(8458(a,1),14304(a,1,1))]. given #13506 (H,wt=19): 14306 T(x,y \ (z \ (y \ u))) = T(x,y * (z \ (y * u))). [hyper(58,a,14300,a(flip),b,14305,a)]. given #13507 (H,wt=22): 14308 T(x,y * (z \ (y * (z \ u)))) = L(T(x,u),y * z,y * z). [hyper(58,a,14296,a(flip),b,14306,a),flip(a)]. given #13508 (H,wt=22): 14310 T(x,y * ((z \ (y / z)) * u)) = L(T(x,u),y * z,y * z). [hyper(58,a,12291,a(flip),b,14308,a)]. given #13509 (H,wt=25): 14303 T(x,y * (L(z,u,w) * T(T(v5,z),y))) = T(x,v5 * (y * R(z,w,u))). [hyper(58,a,12000,a(flip),b,14302,a),flip(a)]. given #13510 (H,wt=21): 14311 T(x,y * (z * R(u,w,v5))) = T(x,y * (z * L(u,v5,w))). [hyper(58,a,14017,a(flip),b,14303,a),flip(a)]. given #13511 (H,wt=24): 14312 T(x,y * T((z * u) * w,z)) = T(x,y * ((u * w) * L(z,w,u))). [hyper(58,a,12646,a,b,14311,a)]. given #13512 (H,wt=21): 14313 T(x,y * T((z * u) * w,z)) = T(x,y * (u * (w * z))). [para(87(a,1),14312(a,2,2,2))]. given #13513 (H,wt=25): 14309 T(x,y * (z \ (y * (z \ (y * (y * u)))))) = T(x,z \ (T(z,y) \ u)). [hyper(58,a,13304,a(flip),b,14306,a),flip(a)]. given #13514 (H,wt=25): 14315 T(x,y * ((z \ (y / z)) * (y * (y * u)))) = T(x,z \ (T(z,y) \ u)). [hyper(58,a,12291,a(flip),b,14309,a)]. given #13515 (H,wt=26): 14314 T(x,y * L(((z * z) * u) * w,z,z)) = T(x,y * (u * (w * (z * z)))). [para(2952(a,1),14313(a,1,2,2))]. given #13516 (H,wt=26): 14316 T(x,y * ((z * (z * u)) * L(w,z,z))) = T(x,y * (u * (w * (z * z)))). [para(5946(a,1),14314(a,1,2,2))]. given #13517 (H,wt=26): 14317 T(x,y * ((z * (u * u)) * L(w,u,u))) = T(x,y * (z * (w * (u * u)))). [para(2956(a,2),14316(a,1,2,2,1))]. given #13518 (H,wt=23): 14318 T(x,y * ((z * (u * u)) * w)) = T(x,y * (z * (w * (u * u)))). [hyper(58,a,8463,a(flip),b,14317,a)]. given #13519 (H,wt=23): 14320 T(x,y * (((z * u) * u) * w)) = T(x,y * (z * (w * (u * u)))). [hyper(58,a,8715,a,b,14318,a)]. given #13520 (H,wt=25): 14321 T(x,y * (y * (T(z,u) * (u * w)))) = T(x,u * (z * (w * (y * y)))). [hyper(58,a,13422,a,b,14320,a)]. given #13521 (H,wt=24): 14322 L(T(x,T(y,z) * (z * u)),w,w) = T(x,z * (y * (u * (w * w)))). [hyper(58,a,14284,a(flip),b,14321,a)]. given #13522 (H,wt=22): 14323 T(x,y * (z * (u * (w * w)))) = L(T(x,y * (z * u)),w,w). [para(11854(a,1),14322(a,1,1)),flip(a)]. given #13523 (H,wt=22): 14324 T(x,y * (z * (u * (u * w)))) = L(T(x,y * (z * w)),u,u). [para(2956(a,1),14323(a,1,2,2,2))]. given #13524 (H,wt=24): 14325 L(T(x,y * ((z \ (y / z)) * u)),y,y) = T(x,z \ (T(z,y) \ u)). [hyper(58,a,14315,a(flip),b,14324,a),flip(a)]. given #13525 (H,wt=23): 14326 L(L(T(x,y),z * u,z * u),z,z) = T(x,u \ (T(u,z) \ y)). [para(14310(a,1),14325(a,1,1))]. given #13526 (H,wt=19): 14327 T(T(x,y),z * T(z,u)) = T(x,z \ (T(z,u) \ y)). [hyper(58,a,14301,a(flip),b,14326,a)]. given #13527 (H,wt=19): 14328 T(T(x,y),z * T(z,u)) = T(x,z * (T(z,u) * y)). [hyper(272,a,14290,a(flip),b,14327,a),flip(a)]. given #13528 (H,wt=23): 14329 T(T(x,y * T(y,z)) \ 1,u) = T(x \ 1,y * (T(y,z) * u)). [hyper(58,a,7004,a(flip),b,14328,a)]. given #13529 (H,wt=24): 14330 L(T(x \ 1,y * (T(y,z) * u)),y,y) = T(T(x,K(y,z)) \ 1,u). [para(14329(a,1),12206(a,1,1))]. given #13530 (H,wt=21): 14331 T(x \ 1,y \ (T(y,z) * u)) = T(T(x,K(y,z)) \ 1,u). [hyper(58,a,14298,a(flip),b,14330,a)]. given #13531 (H,wt=19): 14332 T(T(x,K(y,z)) \ 1,u) = T(x \ 1,K(y,z) * u). [para(2748(a,1),14331(a,1,2)),flip(a)]. given #13532 (H,wt=24): 14333 T(T(x \ 1,K(y,z) * u),K(y,z) * u) = L(x,y,K(z,u)) \ 1. [para(14332(a,1),12792(a,1,1))]. given #13533 (H,wt=8): 14334 L(x,y,K(z,u)) = x. [hyper(2781,a,14333,a),flip(a)]. given #13534 (H,wt=8): 14336 R(x,y,K(z,u)) = x. [hyper(13036,a,14334,a)]. given #13535 (H,wt=8): 14337 T(x,a(y,z,u)) = x. [hyper(10836,a,14334,a)]. given #13536 (H,wt=8): 14339 a(x,y,K(z,u)) = 1. [hyper(10752,a,14334,a)]. given #13537 (H,wt=8): 14354 L(x,K(y,z),u) = x. [hyper(58,a,10745,a,b,14334,a)]. given #13538 (H,wt=8): 14427 K(a(x,y,z),u) = 1. [hyper(10284,a,14339,a)]. given #13539 (H,wt=10): 14358 T(x,L(y,z,u)) = T(x,y). [hyper(58,a,10726,a(flip),b,14334,a)]. given #13540 (H,wt=10): 14399 T(x,a(y,z,u) \ 1) = x. [hyper(4835,a,14337,a)]. given #13541 (H,wt=10): 14433 L(K(x,y),z,u) = K(x,y). [hyper(47,a,14339,a)]. given #13542 (H,wt=10): 14455 K(a(x,y,z),u) * w = w. [para(14427(a,2),2(a,1,1))]. given #13543 (H,wt=10): 14468 T(x,R(y,z,u)) = T(x,y). [hyper(58,a,10615,a,b,14358,a)]. given #13544 (H,wt=10): 14489 K(L(x,y,z),u) = K(x,u). [hyper(6535,a,14433,a)]. given #13545 (H,wt=11): 14338 L(x,y,T(z,u)) = L(x,y,z). [hyper(10760,a,14334,a)]. given #13546 (H,wt=11): 14362 T(a(x,y,z),u) = a(x,y,z). [hyper(215,a,14334,a(flip),b,10835,a(flip))]. given #13547 (H,wt=11): 14368 L(x,y,K(z,u)) != w | x = w. [para(14334(a,1),45(a,2))]. given #13548 (H,wt=11): 14387 R(x,y,T(z,u)) = R(x,y,z). [hyper(7037,a,14336,a)]. given #13549 (H,wt=11): 14413 T(x,a(y,z,u)) != w | x = w. [para(14337(a,1),44(a,2))]. given #13550 (H,wt=11): 14565 L(x,T(y,z),u) = L(x,y,u). [hyper(58,a,12467,a,b,14338,a)]. given #13551 (H,wt=11): 14610 R(x,T(y,z),u) = R(x,y,u). [hyper(58,a,13007,a,b,14387,a)]. given #13552 (H,wt=12): 14467 x * T(y,L(x,z,u)) = y * x. [hyper(114,a,14358,a,b,17,a(flip))]. given #13553 (H,wt=13): 14340 x / a(y,z,u) = a(y,z,u) \ x. [hyper(10720,a,14334,a),flip(a)]. given #13554 (H,wt=13): 14356 a(x,y,z) * u = u * a(x,y,z). [hyper(58,a,10835,a(flip),b,14334,a),flip(a)]. given #13555 (H,wt=13): 14366 a(x,y,z) \ (u * a(x,y,z)) = u. [hyper(112,a,10835,a(flip),b,14334,a(flip))]. given #13556 (H,wt=13): 14367 x \ (a(y,z,u) * x) = a(y,z,u). [hyper(112,a,14334,a(flip),b,10835,a(flip))]. given #13557 (H,wt=13): 14487 T(x,a(y,z,u) \ 1) != w | x = w. [para(14399(a,1),44(a,2))]. given #13558 (H,wt=13): 14569 L(x,y,z * u) = L(x,y,u * z). [hyper(58,a,8987,a(flip),b,14338,a)]. given #13559 (H,wt=13): 14570 L(x,y,z / u) = L(x,y,u \ z). [hyper(58,a,8973,a(flip),b,14338,a)]. given #13560 (H,wt=13): 14616 R(x,y,(z \ u) \ u) = R(x,y,z). [para(99(a,1),14387(a,1,3))]. given #13561 (H,wt=13): 14623 L(x,y * z,u) = L(x,z * y,u). [hyper(9256,a,14565,a)]. given #13562 (H,wt=14): 14377 L(x,y,z) != u | L(x,y,T(z,w)) = u. [para(14334(a,1),7023(a,1))]. given #13563 (H,wt=14): 14576 L(x,T(y,z),y) != u | L(x,y,y) = u. [para(14338(a,1),6181(a,1))]. given #13564 (H,wt=14): 14590 T(a(x,y,z),u) != w | a(x,y,z) = w. [para(14362(a,1),2810(a,1,1))]. given #13565 (H,wt=14): 14597 L(x,y,T(z,u)) != w | L(x,y,z) = w. [para(7022(a,1),14368(a,1))]. given #13566 (H,wt=14): 14727 L(x,T(y,z),u) != w | L(x,y,u) = w. [para(12467(a,2),14597(a,1))]. given #13567 (H,wt=15): 14342 (K(x,y) * z) * u = K(x,y) * (z * u). [hyper(1105,a,14334,a),flip(a)]. given #13568 (H,wt=15): 14359 (K(x,y) * z) \ u = z \ (K(y,x) * u). [hyper(58,a,3897,a(flip),b,14334,a)]. given #13569 (H,wt=15): 14371 (K(x,y) * z) / u = K(x,y) * (z / u). [para(14334(a,1),471(a,1,2))]. given #13570 (H,wt=15): 14381 (x * y) * K(z,u) = x * (y * K(z,u)). [para(14334(a,1),10706(a,1,1)),flip(a)]. given #13571 (H,wt=15): 14382 x * (a(y,z,u) \ 1) = a(y,z,u) \ x. [para(14334(a,1),10719(a,1,2)),flip(a)]. given #13572 (H,wt=15): 14384 (x * K(y,z)) * u = x * (K(y,z) * u). [para(14334(a,1),11725(a,1,1)),flip(a)]. given #13573 (H,wt=15): 14392 x \ (y * K(z,u)) = (x \ y) * K(z,u). [para(14336(a,1),445(a,1,1))]. given #13574 (H,wt=15): 14401 1 / (a(x,y,z) \ u) = a(x,y,z) / u. [hyper(3083,a,14337,a),flip(a)]. given #13575 (H,wt=15): 14419 x \ (a(y,z,u) \ x) = a(y,z,u) \ 1. [para(14337(a,1),679(a,1,1))]. given #13576 (H,wt=15): 14421 a(x,y,z) / (u \ 1) = u * a(x,y,z). [para(14337(a,1),2241(a,1,2))]. given #13577 (H,wt=15): 14422 (1 / x) * a(y,z,u) = a(y,z,u) / x. [para(14337(a,1),2242(a,1,2)),flip(a)]. given #13578 (H,wt=15): 14423 a(x,y,z) * (u \ 1) = u \ a(x,y,z). [para(14337(a,1),2935(a,1,1)),flip(a)]. given #13579 (H,wt=15): 14424 (a(x,y,z) / u) \ 1 = a(x,y,z) \ u. [para(14337(a,1),3041(a,1,1))]. given #13580 (H,wt=15): 14438 K(x,y) * ((z * K(x,y)) \ u) = z \ u. [hyper(826,a,14354,a)]. given #13581 (H,wt=15): 14469 L(x,y,z) * T(u,x) = u * L(x,y,z). [hyper(114,a,14358,a(flip),b,17,a(flip))]. given #13582 (H,wt=15): 14501 K(x,(y \ z) \ u) = K(x,z \ (y * u)). [hyper(58,a,7872,a(flip),b,14433,a),flip(a)]. given #13583 (H,wt=15): 14520 T(R(x,y,z) \ u,x) = u / R(x,y,z). [hyper(2811,a,14468,a),flip(a)]. given #13584 (H,wt=15): 14534 T(x,y) * R(y,z,u) = R(y,z,u) * x. [para(14468(a,1),2778(a,1,1))]. given #13585 (H,wt=15): 14547 L(x,y,z) * K(x,u) = L(T(x,u),y,z). [hyper(114,a,14489,a(flip),b,2735,a)]. given #13586 (H,wt=15): 14573 L(x,y,(1 / z) \ u) = L(x,y,u * z). [para(368(a,1),14338(a,1,3)),flip(a)]. given #13587 (H,wt=15): 14588 T(x \ L(x,y,z),u) = a(x \ 1,z,y). [para(1181(a,1),14362(a,1,1))]. given #13588 (H,wt=15): 14634 L(x,y * (z \ 1),u) = L(x,z \ y,u). [para(383(a,1),14565(a,1,2))]. given #13589 (H,wt=15): 14656 a(x,y,z) * (u * L(z,y,x)) = u * z. [hyper(58,a,12410,a,b,14467,a)]. given #13590 (H,wt=15): 14659 x * a(y,z,u \ 1) = a(u,y,z) \ x. [hyper(12461,a,14340,a)]. given #13591 (H,wt=15): 14660 a(x \ 1,y,z) \ u = u * a(y,z,x). [hyper(12362,a,14340,a),flip(a)]. given #13592 (H,wt=15): 14665 x * a(y \ 1,z,u) = a(z,u,y) \ x. [hyper(58,a,12360,a,b,14340,a)]. given #13593 (H,wt=15): 14666 x * (y \ L(y,z,u)) = a(u,z,y) \ x. [hyper(58,a,12326,a,b,14340,a)]. given #13594 (H,wt=15): 14667 T(a(x,y,z) \ u,u) = a(x,y,z) \ u. [hyper(58,a,10302,a,b,14340,a)]. given #13595 (H,wt=15): 14673 (x \ y) \ (L(x,z,u) \ y) = a(u,z,x). [hyper(12424,a,14356,a)]. given #13596 (H,wt=15): 14674 (x \ y) * a(z,u,x) = L(x,u,z) \ y. [hyper(12368,a,14356,a),flip(a)]. given #13597 (H,wt=15): 14675 (a(x,y,z) \ 1) \ u = u * a(x,y,z). [hyper(10823,a,14356,a)]. given #13598 (H,wt=15): 14676 a(x,y,z) * (u * x) = u * R(x,y,z). [hyper(272,a,13810,a(flip),b,14356,a),flip(a)]. given #13599 (H,wt=15): 14679 a(x,y,z) \ (u \ z) = u \ L(z,y,x). [hyper(112,a,12496,a(flip),b,14356,a)]. given #13600 (H,wt=15): 14681 a(x,y,z \ 1) \ u = u * a(z,x,y). [hyper(58,a,12364,a,b,14356,a)]. given #13601 (H,wt=15): 14682 x * (L(x,y,z) \ u) = u * a(z,y,x). [hyper(58,a,12344,a,b,14356,a)]. given #13602 (H,wt=15): 14705 L(x,y * (1 / z),u) = L(x,z \ y,u). [hyper(272,a,9194,a(flip),b,14623,a),flip(a)]. given #13603 (H,wt=15): 14723 L(x,y,L(z,u,u)) != w | L(x,y,z) = w. [para(2952(a,1),14597(a,1,3))]. given #13604 (H,wt=15): 14797 x \ (a(y,z,u) \ x) = a(y,z,u \ 1). [hyper(272,a,13652,a,b,14419,a),flip(a)]. given #13605 (H,wt=15): 14812 K(x,y \ (z * u)) = K(x,(y \ z) * u). [hyper(8615,a,14501,a),flip(a)]. given #13606 (H,wt=15): 14834 (x * L(y,z,u)) / y = a(u,z,y) \ x. [hyper(58,a,12313,a,b,14666,a)]. given #13607 (H,wt=15): 14840 a(x,y,z) * (u * z) = u * R(z,x,y). [para(13641(a,2),14676(a,1,1))]. given #13608 (H,wt=15): 14850 K(x,(y \ z) * (z \ u)) = K(x,y \ u). [para(5(a,1),14812(a,1,2,2)),flip(a)]. given #13609 (H,wt=15): 14851 (a(x,y,z) \ u) * z = u * L(z,y,x). [hyper(125,a,14834,a)]. given #13610 (H,wt=15): 14853 (a(x,y,z) \ u) * x = u * L(x,z,y). [para(13641(a,1),14851(a,1,1,1))]. given #13611 (H,wt=16): 14414 a(x,y,z) \ u != w | w * a(x,y,z) = u. [para(14337(a,1),128(a,1)),flip(a)]. given #13612 (H,wt=16): 14415 a(x,y,z) * u != w | u * a(x,y,z) = w. [para(14337(a,1),248(a,1,2))]. given #13613 (H,wt=16): 14641 L(x,y * z,u) != w | L(x,z * y,u) = w. [para(14565(a,1),9256(a,1))]. given #13614 (H,wt=16): 14685 a(1 / x,y,z) * x != u | L(x,z,y) = u. [para(14356(a,2),2521(a,1))]. given #13615 (H,wt=16): 14711 L(x,T(y,z),u) != w | L(x,y,T(u,v5)) = w. [para(14565(a,2),14377(a,1))]. given #13616 (H,wt=16): 14717 L(x,y,z \ u) != w | L(x,y,u / z) = w. [para(100(a,1),14597(a,1,3))]. given #13617 (H,wt=16): 14718 L(x,y,(z \ u) \ u) != w | L(x,y,z) = w. [para(99(a,1),14597(a,1,3))]. given #13618 (H,wt=16): 14721 L(x,y,z / u) != w | L(x,y,u \ z) = w. [para(2775(a,1),14597(a,1,3))]. given #13619 (H,wt=16): 14726 L(x,y,z * u) != w | L(x,y,u * z) = w. [para(8987(a,1),14597(a,1))]. given #13620 (H,wt=16): 14729 L(x,y \ z,u) != w | L(x,z / y,u) = w. [para(12473(a,1),14597(a,1))]. given #13621 (H,wt=16): 14820 R(x,y,z) = T(y * z,x) \ ((x * y) * z). [hyper(112,a,93,a(flip),b,14534,a),flip(a)]. given #13622 (H,wt=16): 14867 L(x,y,y) != z | L(x,1 / y,1 / y) = z. [para(4236(a,1),14717(a,1))]. given #13623 (H,wt=17): 14369 L(x * y,z,K(u,w)) != y * v5 | T(x,y) = v5. [para(14334(a,2),216(a,2)),flip(a)]. given #13624 (H,wt=17): 14416 (a(x,y,z) * u) * w = (u * a(x,y,z)) * w. [para(14337(a,1),204(a,1,1,2))]. given #13625 (H,wt=17): 14457 K(a(x,y,z),u) * w != v5 * v6 | v5 \ w = v6. [para(14427(a,2),489(a,1,1))]. given #13626 (H,wt=15): 14890 T(x,a(y,z,u)) != w * v5 | w \ x = v5. [para(2692(a,2),14457(a,1))]. given #13627 (H,wt=15): 14892 L(x,y,K(z,u)) != w * v5 | w \ x = v5. [para(10697(a,2),14890(a,1))]. given #13628 (H,wt=17): 14516 (a(x,y,z) * u) \ w = (u * a(x,y,z)) \ w. [hyper(112,a,14455,a(flip),b,9539,a)]. given #13629 (H,wt=17): 14518 T(1 / (R(x,y,z) \ u),x) = R(x,y,z) / u. [hyper(3083,a,14468,a),flip(a)]. given #13630 (H,wt=17): 14519 T((x / R(y,z,u)) \ 1,y) = x \ R(y,z,u). [hyper(2913,a,14468,a),flip(a)]. given #13631 (H,wt=17): 14531 T(x,y) * (R(y,z,u) \ 1) = R(y,z,u) \ x. [para(14468(a,1),676(a,1,1))]. given #13632 (H,wt=17): 14653 R(x,L(T(y,z),u,w),v5) = R(x,L(y,u,w),v5). [para(20(a,2),14610(a,1,2))]. given #13633 (H,wt=17): 14657 (x / L(y,z,u)) * y = y * (L(y,z,u) \ x). [para(100(a,1),14467(a,1,2)),flip(a)]. given #13634 (H,wt=17): 14677 x * (a(y,z,u) * w) = x * (w * a(y,z,u)). [hyper(114,a,14356,a,b,4,a)]. given #13635 (H,wt=15): 14896 x \ (L(x,y,y) * z) = z * a(x,y,y). [hyper(112,a,4780,a(flip),b,14677,a(flip))]. given #13636 (H,wt=17): 14698 L(x,y,z * (u \ (u / w))) = L(x,y,w \ z). [hyper(272,a,9094,a(flip),b,14569,a),flip(a)]. given #13637 (H,wt=17): 14746 K(x,y) * ((T(x,y) \ z) * u) = (x \ z) * u. [para(3174(a,1),14342(a,1,1)),flip(a)]. given #13638 (H,wt=17): 14748 K(x,y) * ((T(x,y) * z) * u) = (x * z) * u. [para(3888(a,1),14342(a,1,1)),flip(a)]. given #13639 (H,wt=17): 14750 K(x,y) * ((x / z) * u) = (T(x,y) / z) * u. [para(5591(a,1),14342(a,1,1)),flip(a)]. given #13640 (H,wt=17): 14752 (x * y) \ (K(x,z) * u) = (T(x,z) * y) \ u. [para(2694(a,1),14359(a,1,1)),flip(a)]. given #13641 (H,wt=17): 14756 (x * (y \ 1)) * K(z,u) = x * (y \ K(z,u)). [hyper(272,a,5617,a(flip),b,14381,a),flip(a)]. given #13642 (H,wt=17): 14792 (x \ y) * K(z,z \ y) = x \ (z * (y / z)). [para(2985(a,1),14392(a,1,2)),flip(a)]. given #13643 (H,wt=17): 14804 K(x,y) * ((z * T(x,y)) \ u) = (z * x) \ u. [para(3664(a,1),14438(a,1,2,1))]. given #13644 (H,wt=17): 14821 a(x,y,z) \ K(x,u) = x \ L(T(x,u),z,y). [hyper(112,a,14547,a(flip),b,13673,a),flip(a)]. given #13645 (H,wt=17): 14822 L(x,y,T(z * u,w)) = L(x,y,(1 / u) \ z). [hyper(272,a,14338,a,b,14573,a)]. given #13646 (H,wt=17): 14833 (x \ y) \ (R(x,z,u) \ y) = a(z,u,x \ 1). [hyper(112,a,13002,a(flip),b,14659,a)]. given #13647 (H,wt=13): 14904 R(x \ 1,y,z) = R(x,y,z) \ 1. [hyper(33,a,13648,a(flip),b,14833,a)]. given #13648 (H,wt=17): 14838 T(x,y) \ a(z,u,y) = L(y,u,z) \ (x \ y). [hyper(10315,a,14674,a)]. given #13649 (H,wt=17): 14844 L(x,y,z) * (u \ x) = x * (u \ L(x,y,z)). [para(14679(a,1),12416(a,1,2)),flip(a)]. given #13650 (H,wt=17): 14845 (x * a(y,z,u)) \ 1 = x \ a(z,u,y \ 1). [para(14681(a,1),10262(a,1,1))]. given #13651 (H,wt=17): 14849 a(x,y \ z,u) \ w = w * a(x,z \ y,u). [hyper(114,a,13642,a(flip),b,14797,a),flip(a)]. given #13652 (H,wt=17): 14852 a(x,y,z \ u) * u = z * R(z \ u,x,y). [hyper(288,a,14840,a)]. given #13653 (H,wt=17): 14878 L(L(x,y,z),y,z) != u | L(x,y,z * z) = u. [para(13896(a,2),14726(a,1))]. given #13654 (H,wt=17): 14891 T(x,L(y,z,u)) != w * v5 | w \ T(x,y) = v5. [para(10594(a,1),14890(a,1))]. given #13655 (H,wt=17): 14893 x / (x * (R(x,y,z) \ u)) = R(x,y,z) / u. [hyper(3618,a,14518,a)]. given #13656 (H,wt=15): 14915 x / (a(x,y,z) \ u) = R(x,y,z) / u. [para(13018(a,1),14893(a,1,2))]. given #13657 (H,wt=15): 14916 a(x,y,z) \ (u \ R(x,y,z)) = u \ x. [hyper(31,a,161,a,b,14915,a),flip(a)]. given #13658 (H,wt=15): 14917 (x \ y) * a(y,z,u) = x \ R(y,z,u). [hyper(14414,a,14916,a)]. given #13659 (H,wt=15): 14918 a(x,y,z) * (u \ x) = u \ R(x,y,z). [hyper(127,a,14916,a)]. given #13660 (H,wt=17): 14897 x \ (y * L(x,z,z)) = T(y,x) * a(x,z,z). [para(14469(a,1),14896(a,1,2))]. given #13661 (H,wt=17): 14907 x * ((a(y,z,u) * x) \ 1) = a(z,u,y \ 1). [hyper(114,a,14516,a,b,14845,a(flip))]. given #13662 (H,wt=18): 14672 a(x \ 1,y,z) \ u != w | u * a(y,z,x) = w. [para(14340(a,1),12362(a,1))]. given #13663 (H,wt=18): 14706 L(K(x,y),x * z,u) != w | K(L(x,z,u),y) = w. [para(14623(a,1),6535(a,1))]. given #13664 (H,wt=18): 14707 L(x,y * (z \ 1),u) != w | L(x,z \ y,u) = w. [para(14623(a,1),10477(a,1))]. given #13665 (H,wt=18): 14708 x * a(y,x,z) != u | L(x,y,T(z \ 1,w)) = u. [para(12402(a,1),14377(a,1))]. given #13666 (H,wt=18): 14719 L(x,y,z * (u \ 1)) != w | L(x,y,u \ z) = w. [para(383(a,1),14597(a,1,3))]. given #13667 (H,wt=18): 14722 L(x,y,(z / u) \ 1) != w | L(x,y,z \ u) = w. [para(2768(a,1),14597(a,1,3))]. given #13668 (H,wt=13): 14928 R(x,y / z,u) = L(x,u,y \ z). [hyper(14722,a,13628,a(flip)),flip(a)]. given #13669 (H,wt=18): 14724 L(x,y,(1 / z) * u) != w | L(x,y,z \ u) = w. [para(3815(a,1),14597(a,1,3))]. given #13670 (H,wt=18): 14732 L(x,(y * z) \ z,u) != w | L(x,y \ 1,u) = w. [para(2258(a,1),14727(a,1,2))]. given #13671 (H,wt=18): 14734 L(x,(1 / y) * z,u) != w | L(x,y \ z,u) = w. [para(3815(a,1),14727(a,1,2))]. given #13672 (H,wt=18): 14736 L(x,K(y,T(z,u)),w) != v5 | L(x,K(y,z),w) = v5. [para(5238(a,2),14727(a,1,2))]. given #13673 (H,wt=16): 14936 L(x,y,K(z,u)) != w | L(x,K(u,y),z) = w. [para(11675(a,1),14736(a,1))]. given #13674 (H,wt=18): 14738 L(x,y,z \ 1) != u | L(x,y,z \ K(y,z)) = u. [para(9161(a,1),14727(a,1))]. given #13675 (H,wt=18): 14739 L(x,K(y,T(z,u)),w) != v5 | L(x,z,K(w,y)) = v5. [para(10745(a,2),14727(a,1))]. given #13676 (H,wt=16): 14937 L(x,K(y,z),u) != w | L(x,z,K(u,y)) = w. [para(97(a,1),14739(a,1,2,2))]. given #13677 (H,wt=18): 14837 (x \ y) \ (L(x,z,u) \ y) != w | a(x,u,z) = w. [para(14673(a,2),13693(a,1))]. given #13678 (H,wt=18): 14855 x * L(y,z,u) != w * y | a(y,u,z) \ x = w. [para(14853(a,1),39(a,1))]. given #13679 (H,wt=18): 14856 a(x,y,z \ 1) \ u != w | u * a(z,x,y) = w. [para(12364(a,2),14415(a,1))]. given #13680 (H,wt=18): 14869 L(x,y,T(z \ u,w)) != v5 | L(x,y,u / z) = v5. [para(14338(a,2),14717(a,1))]. given #13681 (H,wt=18): 14871 L(x,y,z * (1 / u)) != w | L(x,y,u \ z) = w. [para(8979(a,2),14721(a,1))]. given #13682 (H,wt=18): 14879 L(x,y,T(z * u,w)) != v5 | L(x,y,u * z) = v5. [para(14338(a,2),14726(a,1))]. given #13683 (H,wt=18): 14880 L(x,y,(1 / z) \ u) != w | L(x,y,z * u) = w. [para(14573(a,2),14726(a,1))]. given #13684 (H,wt=18): 14886 L(x,T(y \ z,u),w) != v5 | L(x,z / y,w) = v5. [para(14565(a,2),14729(a,1))]. given #13685 (H,wt=18): 14888 L(x,y * (z \ 1),u) != w | L(x,y / z,u) = w. [para(14634(a,2),14729(a,1))]. given #13686 (H,wt=18): 14911 x * a(x,y \ z,u) != w | L(x,u,z \ y) = w. [para(14849(a,1),13663(a,1))]. given #13687 (H,wt=16): 14942 R(x,y \ z,u) != w | L(x,u,z \ y) = w. [para(12970(a,2),14911(a,1))]. given #13688 (H,wt=18): 14912 T(x,1 / y) != z * u | z \ T(x,y \ 1) = u. [para(326(a,1),14891(a,1,2))]. given #13689 (H,wt=18): 14927 L(x,y,(z \ 1) * u) != w | L(x,y,z \ u) = w. [para(14569(a,1),14719(a,1))]. given #13690 (H,wt=18): 14929 L(x,y,z \ 1) != u | L(x,y,w \ (z \ w)) = u. [para(72(a,1),14722(a,1,3,1))]. given #13691 (H,wt=18): 14939 L(x,y,z * (u \ 1)) != w | L(x,y,z / u) = w. [para(383(a,1),14869(a,1,3))]. given #13692 (H,wt=18): 14940 L(x,y,z \ u) != w | L(x,y,(z \ 1) * u) = w. [para(72(a,1),14880(a,1,3,1))]. given #13693 (H,wt=18): 14946 L(x,y,(z \ u) \ 1) != w | L(x,y,u \ z) = w. [para(13628(a,1),14942(a,1))]. given #13694 (H,wt=18): 14953 L(x,y,T(z,u) \ u) != w | L(x,y,u / z) = w. [para(2935(a,2),14939(a,1,3))]. given #13695 (H,wt=19): 14477 T(x \ y,L(x,z,u)) != w \ v5 | w * (y / x) = v5. [para(14358(a,2),4751(a,1))]. given #13696 (H,wt=19): 14796 x \ (y * (z * K(u,w))) = (x \ (y * z)) * K(u,w). [para(14381(a,1),14392(a,1,2))]. given #13697 (H,wt=19): 14799 x * T(y * a(z,u,w),y) = x * (y * a(z,u,w)). [para(14421(a,1),694(a,2,2))]. given #13698 (H,wt=19): 14802 x * (y \ a(x \ 1,z,u)) = L(x,u,z) * (y \ 1). [para(14423(a,1),8312(a,1,2))]. given #13699 (H,wt=19): 14827 x * L(x \ 1,y \ z,u) = a(x,u,z * (y \ 1)). [hyper(114,a,14634,a(flip),b,1184,a(flip))]. given #13700 (H,wt=15): 14959 a(x,y,z * (u \ 1)) = a(x,y,u \ z). [hyper(1204,a,14827,a),flip(a)]. given #13701 (H,wt=13): 14961 a(x,y,z / u) = a(x,y,u \ z). [hyper(58,a,9240,a(flip),b,14959,a)]. given #13702 (H,wt=13): 14969 a(x,y,(z \ u) \ u) = a(x,y,z). [para(72(a,1),14961(a,1,3)),flip(a)]. given #13703 (H,wt=15): 14962 a(x,y,(1 / z) \ u) = a(x,y,u * z). [para(74(a,1),14959(a,1,3,2)),flip(a)]. given #13704 (H,wt=17): 14968 a(x,y,(z \ u) \ w) = a(x,y,w * (u \ z)). [hyper(58,a,9312,a(flip),b,14961,a),flip(a)]. given #13705 (H,wt=15): 14976 a(x,y,(z \ 1) \ u) = a(x,y,u * z). [para(60(a,1),14968(a,2,3,2))]. given #13706 (H,wt=13): 14977 a(x,y,z * u) = a(x,y,u * z). [hyper(58,a,9242,a(flip),b,14976,a)]. given #13707 (H,wt=15): 14978 a(x,y,z * u) * 1 = a(x,y,u * z). [hyper(272,a,3,a,b,14977,a)]. given #13708 (H,wt=16): 14980 a(x,y,z * u) != w | a(x,y,u * z) = w. [para(14978(a,1),119(a,1)),flip(b)]. given #13709 (H,wt=17): 14974 a(x,y,z \ (x * u)) = a(x,y,u * (z \ x)). [hyper(58,a,12940,a(flip),b,14968,a)]. given #13710 (H,wt=17): 14975 a(x,y,z * ((u * w) \ u)) = a(x,y,w \ z). [para(4(a,1),14968(a,1,3,1)),flip(a)]. given #13711 (H,wt=15): 14989 a(x,y * z,y \ 1) = a(y,x,z \ y). [hyper(13786,a,14975,a)]. given #13712 (H,wt=15): 14991 a(x,y,z \ (x \ 1)) = a(x,y,z \ x). [hyper(13727,a,14989,a)]. given #13713 (H,wt=15): 14992 a(x,y * z,y \ 1) = a(x,z \ y,y). [hyper(272,a,13641,a,b,14989,a),flip(a)]. given #13714 (H,wt=15): 14993 x \ L(x,y,y * z) = a(y,x,z \ y). [hyper(58,a,12438,a(flip),b,14991,a)]. given #13715 (H,wt=13): 14997 L(x,y,y \ z) = L(x,y,y * z). [hyper(33,a,12392,a,b,14993,a)]. given #13716 (H,wt=13): 14998 R(x,y,z) = L(x,z,z * (y \ z)). [hyper(58,a,13633,a,b,14997,a)]. given #13717 (H,wt=13): 14999 L(x,y,y \ (y \ z)) = L(x,y,z). [para(5(a,1),14997(a,2,3))]. given #13718 (H,wt=15): 14994 x \ L(x,x * y,z) = a(z,y \ x,x). [hyper(13659,a,14992,a)]. given #13719 (H,wt=13): 15001 R(x,y,z \ x) = L(x,x * z,y). [hyper(33,a,13648,a(flip),b,14994,a)]. given #13720 (H,wt=13): 15002 R(x,y,z) = L(x,x * (z \ x),y). [hyper(58,a,14616,a(flip),b,15001,a)]. given #13721 (H,wt=17): 14995 a(x,y * z,y) \ u = u * a(x,z \ y,y). [hyper(114,a,14992,a(flip),b,14797,a),flip(a)]. given #13722 (H,wt=13): 15005 a(x,y \ z,y) = a(x,y * z,y). [hyper(34,a,14849,a,b,14995,a)]. given #13723 (H,wt=13): 15008 a(x,y \ z,y) = a(y,x,y * z). [hyper(272,a,13641,a(flip),b,15005,a),flip(a)]. given #13724 (H,wt=13): 15009 a(x,y,x \ z) = a(x,y,x * z). [hyper(13693,a,15008,a)]. given #13725 (H,wt=15): 15004 x \ L(x,y,z \ y) = a(x,y * z,y). [hyper(13777,a,14995,a)]. given #13726 (H,wt=13): 15010 R(x,y * z,y) = L(x,y,z \ y). [hyper(33,a,12967,a(flip),b,15004,a)]. given #13727 (H,wt=17): 15000 L(x,T(y,z),y \ (y \ u)) = L(x,T(y,z),u). [para(3947(a,1),14999(a,1,3))]. given #13728 (H,wt=18): 14960 a(x,y,z * (u \ 1)) != w | a(x,y,u \ z) = w. [para(14827(a,1),1204(a,1))]. given #13729 (H,wt=16): 15013 a(x,y,z / u) != w | a(x,y,u \ z) = w. [para(9240(a,1),14960(a,1))]. given #13730 (H,wt=18): 14984 a(x,y,z \ u) != w | a(x,y,(z \ 1) * u) = w. [para(14959(a,1),14980(a,1))]. given #13731 (H,wt=18): 14986 a(x,y,(z \ 1) \ u) != w | a(x,y,z * u) = w. [para(14976(a,2),14980(a,1))]. given #13732 (H,wt=18): 14996 a(x,y \ z,z) != z \ u | L(z,z * y,x) = u. [para(14992(a,1),13735(a,1))]. given #13733 (H,wt=18): 15011 x \ L(x,y,z \ y) != u | a(x,y * z,y) = u. [para(15010(a,1),12990(a,1,2))]. given #13734 (H,wt=18): 15014 a(x,y,(z \ 1) * u) != w | a(x,y,z \ u) = w. [para(14977(a,1),14960(a,1))]. given #13735 (H,wt=18): 15017 a(x,y,(z \ u) \ 1) != w | a(x,y,u \ z) = w. [para(10017(a,2),15014(a,1))]. given #13736 (H,wt=18): 15018 a(x \ 1,y \ z,u) != w | a(u,x,z \ y) = w. [para(12395(a,2),15017(a,1))]. given #13737 (H,wt=19): 14905 R(T(x,x \ y),z,u) \ 1 = R(T(1 / x,y),z,u). [para(3517(a,1),14904(a,1,1)),flip(a)]. given #13738 (H,wt=19): 14919 a(x,y,z) \ R(x,u,w) = a(x,u,w) * L(x,z,y). [hyper(114,a,13661,a,b,14916,a),flip(a)]. given #13739 (H,wt=19): 14923 (R(x,y,z) \ u) * ((x \ u) \ 1) = a(y,z,x \ 1). [para(13003(a,1),14907(a,1,2,1))]. given #13740 (H,wt=19): 14926 L(R(x,y,z),z,z) != u | L(x,z,y \ (z \ 1)) = u. [para(9109(a,2),14719(a,1))]. given #13741 (H,wt=19): 14987 x \ L(x,y,(y * z) \ u) = a(y,x,z * (u \ y)). [hyper(12436,a,14974,a)]. given #13742 (H,wt=19): 15003 L(L(x,y,z),x * (u \ x),w) = L(R(x,w,u),y,z). [para(15002(a,2),25(a,1,1)),flip(a)]. given #13743 (H,wt=20): 14418 (a(x,y,z) * u) * w != v5 | (u * a(x,y,z)) * w = v5. [para(14337(a,1),486(a,1,1,2))]. given #13744 (H,wt=20): 14517 (x * a(y,z,u)) * w != v5 | (a(y,z,u) * x) * w = v5. [para(14455(a,1),9545(a,1))]. given #13745 (H,wt=20): 14535 T((x / R(y,z,u)) \ 1,y) != w | x \ R(y,z,u) = w. [para(14468(a,1),2913(a,1))]. given #13746 (H,wt=20): 14693 (a(x,y,z) * u) \ w != v5 | (u * a(x,y,z)) \ w = v5. [para(14366(a,1),298(a,1,1,2))]. given #13747 (H,wt=20): 14694 x \ y != z * a(u,w,v5) | x * (a(u,w,v5) * z) = y. [para(14367(a,1),286(a,2,2))]. given #13748 (H,wt=20): 14695 x * (y * a(z,u,w)) != v5 | x * (a(z,u,w) * y) = v5. [para(14367(a,1),288(a,1,2,2))]. given #13749 (H,wt=20): 14716 L(x,y,L(T(z,u),w,v5)) != v6 | L(x,y,L(z,w,v5)) = v6. [para(20(a,2),14597(a,1,3))]. given #13750 (H,wt=20): 14725 L(x,y,K(z,u / w)) != v5 | L(x,y,K(z,w \ u)) = v5. [para(5251(a,1),14597(a,1,3))]. given #13751 (H,wt=20): 14823 L(x,y,(1 / z) \ u) != w | L(x,y,T(u * z,v5)) = w. [para(14573(a,2),14377(a,1))]. given #13752 (H,wt=20): 14866 L(x,T(y,z) \ 1,u) != w | L(x,y \ 1,T(u,v5)) = w. [para(3387(a,1),14711(a,1,2))]. given #13753 (H,wt=20): 14874 L(x,y,z * (z / u)) != w | L(x,y,z * (u \ z)) = w. [para(8942(a,1),14726(a,1))]. given #13754 (H,wt=20): 14876 R(x,y * y,y * z) != u | L(x,z \ y,y * y) = u. [para(13856(a,2),14726(a,1))]. given #13755 (H,wt=20): 14877 R(x,y * y,z * y) != u | L(x,z \ y,y * y) = u. [para(13858(a,2),14726(a,1))]. given #13756 (H,wt=20): 14887 L(x,y \ z,u \ w) != v5 | L(x,z / y,w / u) = v5. [para(14570(a,1),14729(a,1))]. given #13757 (H,wt=20): 14894 L(x,y,(z * (u * w)) \ (z * w)) = R(x,L(u,w,z),y). [hyper(58,a,13732,a,b,14653,a)]. given #13758 (H,wt=20): 14899 K(x,y) * ((x * z) * u) != w | (T(x,y) * z) * u = w. [para(14748(a,1),3919(a,1,2))]. given #13759 (H,wt=20): 14910 x \ y != y * a(z,u \ w,v5) | a(z,w \ u,v5) = x. [para(14849(a,1),43(a,1)),flip(a)]. given #13760 (H,wt=20): 14925 L(x,y,(z \ 1) \ (u \ 1)) != w | L(x,y,u \ z) = w. [para(8940(a,2),14719(a,1))]. given #13761 (H,wt=20): 14931 L(x,y,((z * u) * w) \ (u * w)) = R(x,R(z,u,w),y). [para(15(a,2),14928(a,1,2)),flip(a)]. given #13762 (H,wt=20): 14950 L(x,y,(z \ 1) / u) != w | L(x,y,z \ (u \ 1)) = w. [para(8941(a,1),14927(a,1))]. given #13763 (H,wt=20): 14954 L(x,y,(z * u) \ 1) != w | L(x,y,u \ (z \ 1)) = w. [para(8996(a,1),14946(a,1))]. given #13764 (H,wt=20): 14981 a(x,y,z * u) != w * v5 | w \ a(x,y,u * z) = v5. [para(14978(a,1),229(a,1))]. given #13765 (H,wt=20): 14982 a(x,y,(z \ u) \ w) != v5 | a(x,y,w * (u \ z)) = v5. [para(10014(a,2),14980(a,1))]. given #13766 (H,wt=20): 14985 a(x,y,(z \ u) \ w) != v5 | a(x,y,(u \ z) * w) = v5. [para(14968(a,2),14980(a,1))]. given #13767 (H,wt=20): 15012 a(x,y,z \ (z \ u)) != w | a(x,y,z \ (u / z)) = w. [para(2835(a,1),14960(a,1,3))]. given #13768 (H,wt=20): 15015 a(x,y,(z * z) * u) != w | a(x,y,z * (z * u)) = w. [para(3523(a,1),14986(a,1,3))]. given #13769 (H,wt=20): 15016 a(x \ 1,y \ (z \ 1),u) != w | a(u,x,z * y) = w. [para(12391(a,2),14986(a,1))]. given #13770 (H,wt=20): 15029 a(x,y,z / (u \ w)) != v5 | a(x,y,z * (w \ u)) = v5. [para(14961(a,2),14982(a,1))]. given #13771 (H,wt=21): 14586 ((x * y) * a(z,u,w)) / x = x * (y * (x \ a(z,u,w))). [para(14362(a,1),1144(a,1,1,2))]. given #13772 (H,wt=21): 14587 (x * a(y,z,u)) * T(w,x) = w * T(x * a(y,z,u),x). [para(14362(a,1),1173(a,1,2,1,2)),flip(a)]. given #13773 (H,wt=12): 15031 T(x,y * a(z,u,w)) = T(x,y). [hyper(215,a,14799,a(flip),b,14587,a)]. given #13774 (H,wt=12): 15033 T(x,a(y,z,u) * w) = T(x,w). [hyper(10988,a,15031,a)]. given #13775 (H,wt=12): 15042 T(x,a(y,z,u) \ w) = T(x,w). [para(14659(a,1),15031(a,1,2))]. given #13776 (H,wt=14): 15034 T(x,y \ a(z,u,w)) = T(x,y \ 1). [hyper(6112,a,15031,a)]. given #13777 (H,wt=16): 15060 T(x,y \ a(z,u,w)) = x * K(x,y \ 1). [hyper(272,a,2674,a(flip),b,15034,a),flip(a)]. given #13778 (H,wt=14): 15064 K(x,y \ a(z,u,w)) = K(x,y \ 1). [hyper(2751,a,15060,a)]. given #13779 (H,wt=14): 15065 K(x,(a(y,z,u) / w) \ 1) = K(x,w). [para(74(a,1),15064(a,1,2)),flip(a)]. given #13780 (H,wt=12): 15066 K(x,a(y,z,u) \ w) = K(x,w). [para(14424(a,1),15065(a,1,2))]. given #13781 (H,wt=12): 15067 K(x,a(y,z,u) \ w) = K(w,x). [hyper(272,a,28,a,b,15066,a),flip(a)]. given #13782 (H,wt=12): 15075 K(a(x,y,z) \ u,w) = K(u,w). [hyper(508,a,15067,a)]. given #13783 (H,wt=18): 15058 T(a(x,y,z),u) != w | (a(x,y,z) \ u) \ u = w. [para(15042(a,1),570(a,1))]. given #13784 (H,wt=18): 15081 a(x,T(y,z),u) != w | (a(x,y,u) \ z) \ z = w. [para(12271(a,2),15058(a,1))]. given #13785 (H,wt=19): 15039 T(x,y) * (y * a(z,u,w)) = (y * a(z,u,w)) * x. [para(15031(a,1),2778(a,1,1))]. given #13786 (H,wt=17): 15083 T(x * a(y,z,u),w) = T(x,w) * a(y,z,u). [hyper(215,a,15039,a(flip),b,3187,a(flip))]. given #13787 (H,wt=17): 15086 T(a(x,y,z) \ u,w) = a(x,y,z) \ T(u,w). [hyper(2201,a,15083,a),flip(a)]. given #13788 (H,wt=19): 15045 T(x / (a(y,z,u) * w),w) = (a(y,z,u) * w) \ x. [hyper(581,a,15033,a),flip(a)]. given #13789 (H,wt=17): 15093 1 / (a(x,y,z) * u) = a(x,y,z) \ (1 / u). [hyper(4626,a,15045,a),flip(a)]. given #13790 (H,wt=19): 15059 T(x,y) * (a(z,u,w) \ y) = (a(z,u,w) \ y) * x. [para(15042(a,1),2778(a,1,1))]. given #13791 (H,wt=19): 15076 K(x,a(y,z,u) \ w) != v5 \ v6 | v5 * K(x,w) = v6. [para(15067(a,2),4205(a,1))]. given #13792 (H,wt=17): 15094 K(x,L(y,z,u)) != w \ v5 | w * K(x,y) = v5. [para(10524(a,1),15076(a,1))]. given #13793 (H,wt=17): 15095 K(x,R(y,z,u)) != w \ v5 | w * K(x,y) = v5. [para(13623(a,2),15076(a,1,2))]. given #13794 (H,wt=17): 15100 L(K(x,y),z,u) != w \ v5 | w * K(x,y) = v5. [para(7857(a,1),15094(a,1))]. given #13795 (H,wt=17): 15101 K(L(x,y,z),u) != w \ v5 | w * K(x,u) = v5. [para(8230(a,1),15094(a,1))]. given #13796 (H,wt=18): 15097 K(x,1 / y) != z \ u | z * K(x,y \ 1) = u. [para(326(a,1),15094(a,1,2))]. given #13797 (H,wt=18): 15106 K(x \ 1,y) != z \ u | z * K(1 / x,y) = u. [para(1997(a,1),15101(a,1,1))]. given #13798 (H,wt=19): 15082 T(x,y) * (a(z,u,w) * y) = (y * a(z,u,w)) * x. [hyper(14695,a,15039,a)]. given #13799 (H,wt=19): 15089 (T(x,y) * a(z,u,w)) * y = y * (x * a(z,u,w)). [para(15083(a,1),2778(a,1,1))]. given #13800 (H,wt=19): 15090 T(x \ 1,y) * a(z,u,w) = T(x \ a(z,u,w),y). [para(10250(a,1),15083(a,1,1)),flip(a)]. given #13801 (H,wt=19): 15091 (a(x,y,z) \ T(u,w)) \ w = w * (u \ a(x,y,z)). [para(15086(a,1),10297(a,1,1))]. given #13802 (H,wt=19): 15109 ((x * y) \ y) * a(z,u,w) = T(x \ a(z,u,w),y). [para(2258(a,1),15090(a,1,1))]. given #13803 (H,wt=17): 15112 T(x \ a(y,z,u),y) = (x * y) \ R(y,z,u). [hyper(58,a,14917,a(flip),b,15109,a),flip(a)]. given #13804 (H,wt=19): 15110 x * (T(y,x) \ a(z,u,w)) = (a(z,u,w) \ y) \ x. [para(2765(a,1),15091(a,1,1,2)),flip(a)]. given #13805 (H,wt=19): 15114 T(x,y) * (y \ a(z,u,w)) = (a(z,u,w) \ y) \ x. [hyper(4240,a,15110,a)]. given #13806 (H,wt=19): 15115 T((a(x,y,z) \ u) * w,u) = w / (u \ a(x,y,z)). [hyper(113,a,4,a(flip),b,15114,a),flip(a)]. given #13807 (H,wt=20): 15099 K(x,y \ z) != u \ w | u * K(x,(z \ y) \ 1) = w. [para(327(a,1),15094(a,1,2))]. given #13808 (H,wt=20): 15102 K(x,y * (z \ 1)) != u \ w | u * K(x,y / z) = w. [para(460(a,1),15095(a,1,2))]. given #13809 (H,wt=20): 15105 K(x \ y,z) != u \ w | u * K((y \ x) \ 1,z) = w. [para(327(a,1),15101(a,1,1))]. given #13810 (H,wt=21): 14592 x * (L(a(y,z,u),w,v5) \ 1) = L(a(y,z,u),w,v5) \ x. [para(14362(a,1),3003(a,1,1,1)),flip(a)]. given #13811 (H,wt=21): 14817 x * K(y \ z,z \ (y * x)) = (y \ z) * (x / (y \ z)). [para(14501(a,1),2985(a,1,2))]. given #13812 (H,wt=21): 14818 T((x / R(y,z,u)) \ 1,y) = (y * (R(y,z,u) \ x)) \ y. [para(14520(a,1),2822(a,1,1,1))]. given #13813 (H,wt=17): 15118 (x * (R(x,y,z) \ u)) \ x = u \ R(x,y,z). [hyper(14535,a,14818,a),flip(a)]. given #13814 (H,wt=15): 15120 (a(x,y,z) \ u) \ x = u \ R(x,y,z). [para(13018(a,1),15118(a,1,1))]. given #13815 (H,wt=17): 15119 (R(x,y,z) * u) \ R(x,y,z) = (x * u) \ x. [para(4(a,1),15118(a,1,1,2)),flip(a)]. given #13816 (H,wt=17): 15123 ((x * y) \ x) * R(x,z,u) = y \ R(x,z,u). [para(15119(a,1),3299(a,1,1))]. given #13817 (H,wt=19): 15122 L(L(x,y,z),u,z) \ x = L(x,y,z) \ R(x,z,u). [para(13680(a,1),15120(a,1,1))]. given #13818 (H,wt=19): 15125 L(L(x,y,z),u,z) \ x = a(x,z,y) * a(x,z,u). [hyper(272,a,13683,a(flip),b,15122,a),flip(a)]. given #13819 (H,wt=21): 14857 L(a(x,y,z) * u,w,K(v5,v6)) != v7 | u * a(x,y,z) = v7. [para(14334(a,2),14415(a,1))]. given #13820 (H,wt=21): 14902 (x \ a(y,z,u)) * K(w,v5) = a(y,z,u) * (x \ K(w,v5)). [para(14423(a,1),14756(a,1,1))]. given #13821 (H,wt=21): 14913 T(x,K(y,L(z,u,w))) != v5 * v6 | v5 \ T(x,K(y,z)) = v6. [para(7860(a,1),14891(a,1,2))]. given #13822 (H,wt=21): 14920 a(x,y,(z * u) \ R(z,w,v5)) = a(x,y,u \ a(z,w,v5)). [para(14917(a,1),10013(a,1,3))]. given #13823 (H,wt=21): 14958 x * ((x * (L(x,y,z) \ u)) \ 1) = L(x,y,z) * (u \ 1). [para(10300(a,2),14802(a,1,2))]. given #13824 (H,wt=21): 14964 a(x,y,((z \ u) * w) \ v5) = a(x,y,v5 * (w \ (u \ z))). [hyper(10051,a,14961,a),flip(a)]. given #13825 (H,wt=19): 15128 a(x,y,z * (u \ (w \ 1))) = a(x,y,(w * u) \ z). [para(60(a,1),14964(a,1,3,1,1)),flip(a)]. given #13826 (H,wt=19): 15129 a(x,y,((z \ 1) * u) \ w) = a(x,y,w * (u \ z)). [para(60(a,1),14964(a,2,3,2,2))]. given #13827 (H,wt=21): 14967 a(x \ 1,y,z \ (u / x)) = a(x \ 1,y,x \ (z \ u)). [hyper(58,a,12941,a(flip),b,14961,a)]. given #13828 (H,wt=21): 15019 (x \ y) \ (x \ (R(x,z,u) \ y)) = R(T(1 / x,y),z,u). [hyper(58,a,13042,a,b,14905,a)]. given #13829 (H,wt=21): 15021 a(x,y,x * (z \ x)) \ L(x,u,y) = L(R(x,y,z),u,y). [hyper(58,a,13680,a,b,15003,a)]. given #13830 (H,wt=19): 15131 a(x,y,z \ 1) \ L(z,u,x) = L(R(z,x,y),u,x). [para(13734(a,1),15021(a,1,1))]. given #13831 (H,wt=17): 15132 L(x,y,z) * a(x,z,u) = L(R(x,z,u),y,z). [hyper(14856,a,15131,a)]. given #13832 (H,wt=17): 15135 L(x,y,z) * a(z,u,x) = L(R(x,z,u),y,z). [para(13641(a,2),15132(a,1,2))]. given #13833 (H,wt=19): 15133 a(x,y,z) \ a(y,z,u) = y \ L(R(y,z,u),x,z). [hyper(112,a,15132,a(flip),b,13674,a),flip(a)]. given #13834 (H,wt=19): 15134 a(x,y,z) \ a(x,y,u) = x \ L(R(x,y,u),z,y). [hyper(112,a,15132,a(flip),b,13673,a),flip(a)]. given #13835 (H,wt=19): 15136 a(x,y,z) \ a(x,u,z) = z \ L(R(z,x,u),y,x). [hyper(112,a,15135,a(flip),b,12416,a),flip(a)]. given #13836 (H,wt=21): 15057 (1 / (a(x,y,z) \ u)) * T(w,u) = w / (a(x,y,z) \ u). [hyper(114,a,15042,a(flip),b,2920,a(flip))]. given #13837 (H,wt=19): 15137 (a(x,y,z) / u) * T(w,u) = w / (a(x,y,z) \ u). [para(14401(a,1),15057(a,1,1))]. given #13838 (H,wt=19): 15138 T(x * (a(y,z,u) \ w),w) = (a(y,z,u) / w) \ x. [hyper(112,a,6,a(flip),b,15137,a),flip(a)]. given #13839 (H,wt=21): 15062 T(x,y \ 1) * (y \ a(z,u,w)) = (y \ a(z,u,w)) * x. [para(15034(a,1),2778(a,1,1))]. given #13840 (H,wt=21): 15085 (x / y) * (y * a(z,u,w)) = (y * a(z,u,w)) * (y \ x). [para(2775(a,1),15039(a,1,1))]. given #13841 (H,wt=21): 15107 (x \ y) * (a(z,u,w) * x) = (x * a(z,u,w)) * (y / x). [para(100(a,1),15082(a,1,1))]. given #13842 (H,wt=21): 15126 1 * (a(x,y,z) * a(x,y,u)) = L(L(x,z,y),u,y) \ x. [hyper(272,a,2,a,b,15125,a)]. given #13843 (H,wt=21): 15127 x * (((y / L(x,z,u)) * x) \ 1) = L(x,z,u) * (y \ 1). [para(14657(a,2),14958(a,1,2,1))]. given #13844 (H,wt=21): 15140 T((a(x,y,z) \ u) * w,u) = (a(x,y,z) / u) \ T(w,u). [para(15059(a,1),15138(a,1,1))]. given #13845 (H,wt=19): 15144 (a(x,y,z) / u) \ T(w,u) = w / (u \ a(x,y,z)). [hyper(58,a,15115,a(flip),b,15140,a),flip(a)]. given #13846 (H,wt=19): 15145 T(x * (y \ a(z,u,w)),y) = (a(z,u,w) / y) * x. [hyper(538,a,15144,a),flip(a)]. given #13847 (H,wt=21): 15142 (x / y) * (y * a(z,u,w)) = (a(z,u,w) * y) * (y \ x). [hyper(272,a,14416,a,b,15085,a),flip(a)]. given #13848 (H,wt=21): 15143 L(x,y,z) * ((u * L(x,y,z)) \ 1) = x * ((u * x) \ 1). [para(6(a,1),15127(a,1,2,1,1)),flip(a)]. given #13849 (H,wt=21): 15147 ((a(x,y,z) / u) * w) * u = u * (w * (u \ a(x,y,z))). [para(15145(a,1),2778(a,1,1))]. given #13850 (H,wt=21): 15149 (x / y) * (a(z,u,w) * y) = (a(z,u,w) * y) * (y \ x). [hyper(14695,a,15142,a)]. given #13851 (H,wt=22): 14375 (K(x,y) * z) * u != w * v5 | w \ (K(x,y) * (z * u)) = v5. [para(14334(a,1),494(a,1,2))]. given #13852 (H,wt=22): 14448 (x * K(y,z)) * u != w * v5 | w \ (x * (K(y,z) * u)) = v5. [para(14354(a,1),494(a,1,2))]. given #13853 (H,wt=22): 14510 (x * y) * K(z,u) != w * v5 | w \ (x * (y * K(z,u))) = v5. [para(14433(a,1),494(a,1,2))]. given #13854 (H,wt=22): 14798 x * (a(y,z,u) \ 1) != w * v5 | w \ (a(y,z,u) \ x) = v5. [para(14419(a,1),341(a,1,2))]. given #13855 (H,wt=22): 14870 L(x,y,z \ L(z,u,w)) != v5 | L(x,y,a(z \ 1,w,u)) = v5. [para(2511(a,1),14718(a,1,3,1))]. given #13856 (H,wt=22): 14914 T(x,T(y,z * (z * u))) != w * v5 | w \ T(x,T(y,u)) = v5. [para(14284(a,2),14891(a,1,2))]. given #13857 (H,wt=22): 14945 R(x,L(y \ 1,z,u),w) != v5 | L(x,w,a(y,u,z) \ y) = v5. [para(1184(a,2),14942(a,1,2))]. given #13858 (H,wt=22): 14956 (x * y) \ (x * ((y * z) * K(u,w))) = L(z,y,x) * K(u,w). [para(13(a,2),14796(a,2,1))]. given #13859 (H,wt=22): 14988 a(x,y,z * (u \ x)) != y \ w | L(y,x,(x * z) \ u) = w. [para(14974(a,1),12437(a,1))]. given #13860 (H,wt=22): 15030 a(x,y * y,z * z) != u | a(x,y,z * (z * (z * z))) = u. [para(14203(a,2),15015(a,1))]. given #13861 (H,wt=22): 15098 K(x,(y * z) \ (y * u)) != w \ v5 | w * K(x,z \ u) = v5. [para(89(a,1),15094(a,1,2))]. given #13862 (H,wt=22): 15121 R(a(x,y,z),u,w) \ R(x,y,z) = a(u,w,a(x,y,z)) \ x. [para(13648(a,2),15120(a,1,1)),flip(a)]. given #13863 (H,wt=22): 15153 (x * y) \ (x * (y * (z * K(u,w)))) = L(z,y,x) * K(u,w). [para(14381(a,1),14956(a,1,2,2))]. given #13864 (H,wt=17): 15155 L(x * K(y,z),u,w) = L(x,u,w) * K(y,z). [hyper(430,a,15153,a)]. given #13865 (H,wt=19): 15157 L(x * y,z,u) * K(y,w) = L(x * T(y,w),z,u). [para(3664(a,1),15155(a,1,1)),flip(a)]. given #13866 (H,wt=19): 15159 L(x \ 1,y,z) * K(u,w) = L(x \ K(u,w),y,z). [para(5586(a,1),15155(a,1,1)),flip(a)]. given #13867 (H,wt=19): 15160 (x \ a(x,y,z)) * K(u,w) = L(x \ K(u,w),z,y). [para(1184(a,1),15159(a,1,1))]. given #13868 (H,wt=19): 15161 a(x,y,z) * (x \ K(u,w)) = L(x \ K(u,w),z,y). [hyper(58,a,14902,a(flip),b,15160,a)]. given #13869 (H,wt=19): 15162 (x \ K(y,z)) \ L(x \ K(y,z),u,w) = a(x,w,u). [hyper(30,a,2495,a,b,15161,a)]. given #13870 (H,wt=21): 15156 L(T(x,K(y,z)) * K(y,z),u,w) = K(y,z) * L(x,u,w). [hyper(272,a,2787,a(flip),b,15155,a),flip(a)]. given #13871 (H,wt=17): 15163 L(K(x,y) * z,u,w) = K(x,y) * L(z,u,w). [para(2778(a,1),15156(a,1,1))]. given #13872 (H,wt=15): 15164 K(x,y) * L(y,z,u) = L(T(y,x),z,u). [para(2692(a,2),15163(a,1,1)),flip(a)]. given #13873 (H,wt=19): 15165 K(x,y) * L(T(x,y) \ z,u,w) = L(x \ z,u,w). [para(3174(a,1),15163(a,1,1)),flip(a)]. given #13874 (H,wt=22): 15167 K(x,y) * L(T(y,x),z,u) != w * v5 | w \ L(y,z,u) = v5. [para(15164(a,1),3920(a,1,2))]. given #13875 (H,wt=23): 14703 L(x,y,z \ (u * T(z * w,z))) = L(x,y,z * ((z \ u) * w)). [para(1157(a,1),14570(a,1,3)),flip(a)]. given #13876 (H,wt=23): 14800 (1 / x) \ ((a(y,z,u) / x) * w) = (a(y,z,u) * (w * x)) / x. [para(14422(a,1),663(a,1,2,1))]. given #13877 (H,wt=23): 14824 L(x \ L(x,y,z),u,w) * v5 = v5 * L(a(x \ 1,z,y),u,w). [para(14588(a,1),213(a,1,2,1)),flip(a)]. given #13878 (H,wt=23): 14832 a(x,y,z) \ (u * a(z,w,v5)) = (u / L(z,v5,w)) * L(z,y,x). [hyper(112,a,13675,a(flip),b,14656,a)]. given #13879 (H,wt=23): 14846 a(x,y,z) \ (u * a(w,v5,z)) = L(z,y,x) * (L(z,v5,w) \ u). [hyper(112,a,14682,a(flip),b,12348,a)]. given #13880 (H,wt=23): 14900 (T(x,y) * z) \ ((T(x,y) * u) * w) = (x * z) \ ((x * u) * w). [para(14748(a,1),14752(a,1,2)),flip(a)]. given #13881 (H,wt=23): 14906 a(x,y,a(x,z,u) * (x * (w \ L(x,u,z)))) = a(y,w,x \ 1). [para(14844(a,1),13849(a,1,3,2))]. given #13882 (H,wt=21): 15172 a(x,y,R(x,z,u) * (w \ L(x,u,z))) = a(y,w,x \ 1). [para(13004(a,1),14906(a,1,3))]. given #13883 (H,wt=23): 14930 L(x,y,(z / u) \ ((1 / u) * w)) = L(x,y,(w \ (u * z)) \ u). [hyper(58,a,13733,a,b,14928,a)]. given #13884 (H,wt=23): 14970 a(x,y,z \ (u * T(z * w,z))) = a(x,y,z * ((z \ u) * w)). [para(1157(a,1),14961(a,1,3)),flip(a)]. given #13885 (H,wt=23): 14990 a(x,y,L(z \ u,w,v5) \ v6) = a(x,y,v6 * L(u \ z,w,v5)). [para(13843(a,1),14975(a,1,3,2)),flip(a)]. given #13886 (H,wt=23): 15007 a(x,1 * a(y,z \ u,u),w) = a(x,a(y,u * z,u),w \ 1). [para(14995(a,1),13643(a,1,2))]. given #13887 (H,wt=21): 15174 a(x,a(y,z * u,z),w \ 1) = a(x,a(y,u \ z,z),w). [para(2(a,1),15007(a,1,2)),flip(a)]. given #13888 (H,wt=23): 15108 T(x * y,x) * (a(z,u,w) * x) = x * (x * (y * a(z,u,w))). [para(15089(a,1),3244(a,2,2))]. given #13889 (H,wt=21): 15175 (x * a(y,z,u)) * (x * w) = x * (x * (w * a(y,z,u))). [hyper(58,a,15082,a(flip),b,15108,a)]. given #13890 (H,wt=21): 15176 x \ ((x * a(y,z,u)) * w) = x * ((x \ w) * a(y,z,u)). [hyper(518,a,15175,a)]. given #13891 (H,wt=22): 15177 (x * ((x \ y) * a(z,u,w))) / y = L(a(z,u,w),x,y \ 1). [para(15176(a,1),7165(a,1,1))]. given #13892 (H,wt=21): 15178 L(T(a(x,y,z),u),w \ u,w) = L(a(x,y,z),w,u \ 1). [hyper(58,a,3652,a(flip),b,15177,a)]. given #13893 (H,wt=19): 15179 L(a(x,y,z),u \ w,u) = L(a(x,y,z),u,w \ 1). [para(14362(a,1),15178(a,1,1))]. given #13894 (H,wt=17): 15180 L(a(x,y,z),u,w \ 1) = L(a(x,y,z),w,u). [hyper(58,a,13596,a(flip),b,15179,a),flip(a)]. given #13895 (H,wt=15): 15183 R(a(x,y,z),u,w) = L(a(x,y,z),u,w). [hyper(58,a,13628,a,b,15180,a)]. given #13896 (H,wt=12): 15185 R(a(x,y,z),u,x) = a(x,y,z). [hyper(272,a,12932,a(flip),b,15183,a),flip(a)]. given #13897 (H,wt=17): 15182 L(a(x,y,z),u \ 1,w) = L(a(x,y,z),w,u). [hyper(14718,a,15180,a),flip(a)]. given #13898 (H,wt=17): 15188 (a(x,y,z) * u) * x = a(x,y,z) * (u * x). [para(15185(a,1),93(a,1,1)),flip(a)]. given #13899 (H,wt=15): 15189 (a(x,y,z) * u) * x = u * R(x,y,z). [hyper(272,a,14676,a(flip),b,15188,a),flip(a)]. given #13900 (H,wt=17): 15191 (x \ R(y,z,u)) * y = (x \ y) * R(y,z,u). [para(14918(a,1),15189(a,1,1))]. given #13901 (H,wt=17): 15192 (x \ R(y,z,u)) / y = (y * x) \ R(y,z,u). [hyper(113,a,15123,a(flip),b,15191,a)]. given #13902 (H,wt=18): 15187 L(R(a(x,y,z),u,w),v5,v5) = L(a(x,y,z),u,w). [para(15183(a,2),10271(a,1,1))]. given #13903 (H,wt=18): 15194 L(a(x,y,z),u,w) != v5 | R(a(x,y,z),u,w) = v5. [para(15187(a,1),318(a,1))]. given #13904 (H,wt=19): 15193 L(a(x,y,z),u,w \ (u \ 1)) = L(a(x,y,z),w,u). [hyper(14926,a,15187,a)]. given #13905 (H,wt=20): 15184 L(a(x,y,z),u \ 1,w) != v5 | L(a(x,y,z),w,u) = v5. [para(15180(a,1),14718(a,1))]. given #13906 (H,wt=20): 15186 a(x,y,z) \ L(a(x,y,z),u,w) = a(a(x,y,z),u,w). [hyper(112,a,15183,a(flip),b,12970,a(flip))]. given #13907 (H,wt=17): 15196 a(x,a(y,z,u),w \ 1) = a(a(y,z,u),x,w). [hyper(12404,a,15186,a)]. given #13908 (H,wt=17): 15197 a(a(x \ 1,y,z),u,w) = a(a(y,z,x),w,u). [hyper(58,a,12356,a(flip),b,15186,a)]. given #13909 (H,wt=19): 15198 a(x,y,a(z,u,w)) \ v5 = a(a(z,u,w),y,x) * v5. [para(15186(a,1),12324(a,1,1)),flip(a)]. given #13910 (H,wt=19): 15201 L(x,y,a(z \ 1,u,w)) = a(a(u,w,z),x,y) \ x. [para(15197(a,1),12338(a,2,1))]. given #13911 (H,wt=19): 15202 a(x,y,a(z,u,w)) \ v5 = a(x,a(z,u,w),y) * v5. [para(13641(a,1),15198(a,2,1))]. given #13912 (H,wt=20): 15199 a(a(x,y,z),u,w \ 1) != v5 | a(u,a(x,y,z),w) = v5. [para(15186(a,1),12405(a,1))]. given #13913 (H,wt=20): 15200 a(x,a(y,z,u),w \ 1) != v5 | a(x,w,a(y,z,u)) = v5. [para(15196(a,2),13691(a,1))]. given #13914 (H,wt=19): 15204 a(x,a(y,z \ u,u),w) = a(x,w,a(y,u * z,u)). [hyper(15200,a,15174,a),flip(a)]. given #13915 (H,wt=20): 15205 a(a(x,y,z),u \ 1,w) != v5 | a(w,u,a(x,y,z)) = v5. [para(13641(a,2),15200(a,1))]. given #13916 (H,wt=22): 15195 L(a(x,y,z),u \ 1,w) != v5 | L(a(x,y,z),w,w \ u) = v5. [para(15193(a,1),14925(a,1))]. given #13917 (H,wt=17): 15206 L(a(x,y,z),u,u \ w) = L(a(x,y,z),u,w). [hyper(15195,a,15182,a)]. given #13918 (H,wt=17): 15207 L(a(x,y,z),u,u * w) = L(a(x,y,z),u,w). [hyper(58,a,14997,a(flip),b,15206,a)]. given #13919 (H,wt=22): 15203 R(a(x,y,z),u,w) \ R(x,y,z) = a(u,a(x,y,z),w) * x. [hyper(58,a,15121,a,b,15202,a)]. given #13920 (H,wt=23): 15111 (a(x,y,z) \ a(u,w,v5)) \ v6 = v6 * (a(u,w,v5) \ a(x,y,z)). [para(14362(a,1),15091(a,1,1,2))]. given #13921 (H,wt=21): 15209 x * (a(y,z,u) \ a(x,w,v5)) = a(y,z,u) \ R(x,w,v5). [hyper(58,a,15120,a(flip),b,15111,a),flip(a)]. given #13922 (H,wt=21): 15210 x \ (a(y,z,u) \ R(x,w,v5)) = a(y,z,u) \ a(x,w,v5). [hyper(112,a,15120,a(flip),b,15111,a(flip))]. given #13923 (H,wt=21): 15212 x * (y \ L(R(y,x,z),u,x)) = a(x,u,y) \ R(x,z,y). [para(15136(a,1),15209(a,1,2))]. given #13924 (H,wt=21): 15214 x * (y \ L(R(y,x,z),u,x)) = a(x,z,y) * L(x,y,u). [hyper(272,a,14919,a(flip),b,15212,a),flip(a)]. given #13925 (H,wt=23): 15113 (a(x,y,z) * u) \ R(u,w,v5) = a(x,y,z) \ T(a(u,w,v5),u). [hyper(58,a,15086,a(flip),b,15112,a),flip(a)]. given #13926 (H,wt=21): 15215 (a(x,y,z) * u) \ R(u,w,v5) = a(x,y,z) \ a(u,w,v5). [para(1188(a,1),15113(a,2,2))]. given #13927 (H,wt=21): 15216 (x * a(y,z,u)) \ R(x,w,v5) = a(y,z,u) \ a(x,w,v5). [hyper(14693,a,15215,a)]. given #13928 (H,wt=23): 15116 (x / (y \ 1)) * (y \ a(z,u,w)) = (a(z,u,w) \ y) \ (y * x). [para(680(a,1),15114(a,1,1))]. given #13929 (H,wt=23): 15117 x / (a(y,z,u) \ a(w,v5,v6)) = (a(w,v5,v6) \ a(y,z,u)) * x. [hyper(14413,a,15115,a),flip(a)]. given #13930 (H,wt=23): 15169 L(x \ L(x,y,z),u,w) * v5 = v5 * (L(a(z,y,x),u,w) \ 1). [para(13742(a,1),14824(a,2,2))]. given #13931 (H,wt=21): 15218 L(x \ L(x,y,z),u,w) * v5 = L(a(z,y,x),u,w) \ v5. [hyper(272,a,14592,a(flip),b,15169,a),flip(a)]. given #13932 (H,wt=23): 15170 a(x,y,z) \ (u * a(z,w,v5)) = L(z,y,x) * (L(z,v5,w) \ u). [para(13641(a,1),14846(a,1,2,2))]. given #13933 (H,wt=23): 15173 L(x,y,(z / u) \ ((1 / u) * w)) = L(x,y,((u * z) \ w) * u). [hyper(272,a,9093,a(flip),b,14930,a),flip(a)]. given #13934 (H,wt=23): 15211 x * (a(y,z,u) \ a(x,w,v5 \ 1)) = a(y,z,u) \ L(x,v5,w). [para(13709(a,2),15209(a,2,2))]. given #13935 (H,wt=21): 15220 x * (R(y,z,u) \ L(y,w,x)) = a(y,z,u) \ L(x,y,w). [para(13685(a,1),15211(a,1,2))]. given #13936 (H,wt=21): 15221 x * (y \ L(L(y,z,x),u,x)) = a(y,x,z) \ L(x,y,u). [para(13831(a,1),15220(a,1,2))]. given #13937 (H,wt=23): 15219 a(x,y,z) \ (u * a(x,w,v5)) = L(x,z,y) * (L(x,v5,w) \ u). [hyper(58,a,13658,a(flip),b,15170,a)]. given #13938 (H,wt=24): 14696 (x * a(y,z,u)) \ w != v5 \ v6 | v5 * ((a(y,z,u) * x) \ w) = v6. [para(14367(a,1),539(a,1,1,2))]. given #13939 (H,wt=24): 14713 (x \ L(T(x,y),z,u)) * K(x,y) != w | a(T(x,y) \ 1,u,z) = w. [para(4306(a,2),14590(a,1))]. given #13940 (H,wt=24): 14801 x * (y * (x \ a(z,u,w))) != v5 | ((x * y) * a(z,u,w)) / x = v5. [para(14423(a,1),1138(a,1,2,2))]. given #13941 (H,wt=24): 14819 K(x,T(y,z / R(x,u,w))) != v5 | K(x,T(y,R(x,u,w) \ z)) = v5. [para(14520(a,1),5356(a,1,2,2))]. given #13942 (H,wt=24): 14825 L(x \ L(x,y,z),u,w) * (w * u) = w * (u * a(x \ 1,z,y)). [para(14588(a,1),547(a,1,2,2)),flip(a)]. given #13943 (H,wt=22): 15223 L(x \ L(x,y,z),u,w) * (w * u) = w * (a(z,y,x) \ u). [para(14665(a,1),14825(a,2,2))]. given #13944 (H,wt=20): 15224 L(a(x,y,z),u,w) \ (w * u) = w * (a(x,y,z) \ u). [hyper(58,a,15218,a(flip),b,15223,a)]. given #13945 (H,wt=24): 14922 T(a(L(x,y,y),z,u),x) * a(x,y,y) = x \ R(L(x,y,y),z,u). [para(12964(a,2),14897(a,1,2)),flip(a)]. given #13946 (H,wt=24): 14932 L(x,(1 / y) * z,(1 / u) * w) != v5 | L(x,y \ z,u \ w) = v5. [para(9194(a,2),14724(a,1))]. given #13947 (H,wt=24): 14933 L(x,y,(z * T(z,u)) \ w) != v5 | L(x,y,z \ (T(z,u) \ w)) = v5. [para(12227(a,1),14724(a,1,3))]. given #13948 (H,wt=24): 14949 L(x,y,((z * u) \ 1) / u) != w | L(x,y,u \ (z \ (u \ 1))) = w. [para(5111(a,1),14927(a,1,3))]. given #13949 (H,wt=24): 14955 L(x,y,z \ ((1 / u) / w)) != v5 | L(x,y,z \ (u \ (w \ 1))) = v5. [para(8994(a,1),14946(a,1))]. given #13950 (H,wt=24): 14983 a(x,y,z * (z * (z * z))) != u | a(y,z * T(z,w),x * x) = u. [para(14230(a,1),14980(a,1))]. given #13951 (H,wt=24): 15022 L(x,y,L((z \ 1) \ u,w,v5)) != v6 | L(x,y,L(z * u,w,v5)) = v6. [para(5786(a,1),14716(a,1,3,1))]. given #13952 (H,wt=24): 15023 T(x,L(y \ z,u,w) * (z \ y)) != v5 | L(x,u,K(w,z \ y)) = v5. [para(11195(a,2),14725(a,1))]. given #13953 (H,wt=24): 15084 T(x,y) * (y * a(z,u,w)) != x * v5 | T(y * a(z,u,w),x) = v5. [para(15039(a,2),216(a,2)),flip(a)]. given #13954 (H,wt=24): 15104 L(K(x,K(y,z)),u,w) != v5 \ v6 | v5 * K(x,K(y,L(z,v7,v8))) = v6. [para(10969(a,1),15100(a,1,1))]. given #13955 (H,wt=24): 15124 ((x * y) \ x) * R(x,z,u) != w * v5 | (y \ R(x,z,u)) / v5 = w. [para(15119(a,1),3321(a,1,1))]. given #13956 (H,wt=24): 15148 ((a(x,y,z) / u) * w) * u != v5 | u * (w * (u \ a(x,y,z))) = v5. [para(15145(a,1),2808(a,1,1))]. given #13957 (H,wt=24): 15152 R(x,R(y \ 1,z,u),w) != v5 | L(x,w,a(y,z \ 1,u) \ y) = v5. [para(13628(a,2),14945(a,1,2))]. given #13958 (H,wt=24): 15213 x * (a(y,z,u) \ a(x,w,v5)) != v6 | a(y,z,u) \ R(x,w,v5) = v6. [para(15210(a,1),230(a,1,2))]. given #13959 (H,wt=24): 15225 T(a(L(x,y,y),z,u),x) * a(x,y,y) = x \ L(R(x,z,u),y,y). [para(24(a,1),14922(a,2,2))]. given #13960 (H,wt=21): 15226 T(a(x,y,z),x) * a(x,u,u) = x \ L(R(x,y,z),u,u). [para(10333(a,1),15225(a,1,1,1))]. given #13961 (H,wt=21): 15228 T(a(x,y,z),y) * a(y,u,u) = y \ L(R(y,z,x),u,u). [para(13641(a,1),15226(a,1,1,1))]. given #13962 (H,wt=20): 15229 T(a(x,y,z),y) * a(y,x,x) = y \ L(y,x,z \ x). [para(13731(a,1),15228(a,2,2))]. given #13963 (H,wt=18): 15230 T(a(x,y,z),y) * a(y,x,x) = a(y,x * z,x). [hyper(272,a,15004,a(flip),b,15229,a),flip(a)]. given #13964 (H,wt=18): 15231 T(a(x,y,z),x) * a(x,z,z) = a(x,z * y,z). [para(13641(a,2),15230(a,1,1,1))]. given #13965 (H,wt=16): 15232 a(x,y,z) * a(x,z,z) = a(x,z * y,z). [para(1188(a,1),15231(a,1,1))]. given #13966 (H,wt=25): 14776 (x * (a(y,z,u) \ (x \ w))) * x = w * T(x * (a(y,z,u) \ 1),x). [para(14382(a,1),1163(a,1,1,2))]. given #13967 (H,wt=23): 15234 (x * (a(y,z,u) \ (x \ w))) * x = w * T(a(y,z,u) \ x,x). [para(14382(a,1),14776(a,2,2,1))]. given #13968 (H,wt=23): 15235 (x * T(a(y,z,u) \ w,w)) / w = w * (a(y,z,u) \ (w \ x)). [hyper(122,a,15234,a)]. given #13969 (H,wt=21): 15236 (x * (a(y,z,u) \ w)) / w = w * (a(y,z,u) \ (w \ x)). [para(14667(a,1),15235(a,1,1,2))]. given #13970 (H,wt=25): 14777 (a(x,y,z) \ (u * (w \ 1))) / (w \ 1) = w \ ((a(x,y,z) \ w) * u). [para(14382(a,1),10820(a,2,2,1))]. given #13971 (H,wt=25): 14839 ((1 / x) * (a(y,z,u) \ 1)) \ (w / x) = ((x * w) * a(y,z,u)) / x. [para(14675(a,1),777(a,2,1))]. given #13972 (H,wt=23): 15237 (a(x,y,z) \ (1 / u)) \ (w / u) = ((u * w) * a(x,y,z)) / u. [para(14382(a,1),14839(a,1,1))]. given #13973 (H,wt=25): 14909 a(x,R(y,z,u) \ ((w / y) \ 1),v5) = a(x,w \ a(z,u,y \ 1),v5). [para(14845(a,1),13817(a,2,2))]. given #13974 (H,wt=25): 14943 R(x,L(T(y,z),z,u),w) != v5 | L(x,w,(u * (y * z)) \ (u * z)) = v5. [para(211(a,1),14942(a,1,2))]. given #13975 (H,wt=25): 15028 L(R(x,y,z \ 1),z \ 1,z \ 1) != u | L(x,z \ 1,y \ z) = u. [para(9107(a,2),14925(a,1))]. given #13976 (H,wt=18): 15238 L(R(x,y,z \ 1),z,z) = L(x,z \ 1,y \ z). [hyper(15028,a,13715,a),flip(a)]. given #13977 (H,wt=16): 15239 L(L(x,y,z),y,y) = L(x,y \ 1,z \ y). [para(13709(a,2),15238(a,1,1))]. given #13978 (H,wt=14): 15240 L(L(x,y,z),y,y) = R(x,z \ y,y). [hyper(272,a,13717,a,b,15239,a),flip(a)]. given #13979 (H,wt=14): 15241 L(L(x,y,z),y,y) = L(x,y,y \ z). [hyper(272,a,13637,a(flip),b,15240,a),flip(a)]. given #13980 (H,wt=14): 15243 L(L(x,y,y),y,z) = L(x,y,y \ z). [hyper(58,a,25,a,b,15241,a)]. given #13981 (H,wt=16): 15244 x \ L(L(x,y,y),y,z) = a(x,z \ y,y). [hyper(112,a,15243,a,b,13654,a)]. given #13982 (H,wt=20): 15242 L(x,a(y,z,u),a(y,z,u) \ w) = L(x,a(y,z,u),w). [hyper(10822,a,15241,a),flip(a)]. given #13983 (H,wt=23): 15245 L(a(x,y,z) \ u,a(x,y,z),w) = w \ ((w / a(x,y,z)) * u). [hyper(58,a,8957,a(flip),b,15242,a),flip(a)]. given #13984 (H,wt=25): 15141 (x \ a(y,z,u)) * ((x \ 1) \ w) = (w / (x \ 1)) * (x \ a(y,z,u)). [para(2775(a,1),15062(a,1,1)),flip(a)]. given #13985 (H,wt=23): 15246 (x \ a(y,z,u)) * ((x \ 1) \ w) = (a(y,z,u) \ x) \ (x * w). [hyper(272,a,15116,a(flip),b,15141,a),flip(a)]. given #13986 (H,wt=23): 15247 (a(x,y,z) \ u) \ (u * ((u \ 1) * w)) = (u \ a(x,y,z)) * w. [hyper(507,a,15246,a),flip(a)]. given #13987 (H,wt=20): 15248 (a(x,y,z) \ u) \ L(w,u,u) = (u \ a(x,y,z)) * w. [para(3109(a,1),15247(a,1,2))]. given #13988 (H,wt=20): 15249 (x \ a(y,z,u)) * L(w,x,x) = (a(y,z,u) \ x) \ w. [para(2965(a,1),15248(a,1,2)),flip(a)]. given #13989 (H,wt=21): 15250 (a(x,y,z) * (u * w)) / w = w * ((a(x,y,z) \ w) \ u). [hyper(114,a,15249,a(flip),b,2019,a),flip(a)]. given #13990 (H,wt=23): 15251 (1 / x) \ ((a(y,z,u) / x) * w) = x * ((a(y,z,u) \ x) \ w). [hyper(58,a,14800,a,b,15250,a)]. given #13991 (H,wt=23): 15252 x * ((a(y \ 1,z,u) \ x) \ w) = (a(z,u,y) \ (w * x)) / x. [para(12358(a,1),15250(a,1,1)),flip(a)]. given #13992 (H,wt=21): 15254 (a(x,y,z) \ (u * w)) / w = w * ((w * a(x,y,z)) \ u). [para(14660(a,1),15252(a,1,2,1)),flip(a)]. given #13993 (H,wt=23): 15253 T(x * ((a(y,z,u) \ x) \ w),x) = ((a(y,z,u) / x) * w) * x. [para(15251(a,1),368(a,1,1))]. given #13994 (H,wt=23): 15256 T(x * ((a(y,z,u) \ x) \ w),x) = x * (w * (x \ a(y,z,u))). [hyper(272,a,15147,a(flip),b,15253,a),flip(a)]. given #13995 (H,wt=23): 15257 T(x * ((a(y,z,u) \ x) \ w),x) = ((x * w) * a(y,z,u)) / x. [hyper(272,a,14586,a,b,15256,a),flip(a)]. given #13996 (H,wt=21): 15258 x \ ((x * y) * a(z,u,w)) = x * ((a(z,u,w) \ x) \ y). [hyper(2830,a,15257,a)]. given #13997 (H,wt=23): 15259 x * ((a(y \ 1,z,u) \ x) \ w) = x \ (a(z,u,y) \ (x * w)). [para(14665(a,1),15258(a,1,2)),flip(a)]. given #13998 (H,wt=21): 15260 x \ (a(y,z,u) \ (x * w)) = x * ((x * a(y,z,u)) \ w). [para(14660(a,1),15259(a,1,2,1)),flip(a)]. given #13999 (H,wt=25): 15222 (L(x,y,z) * (L(x,u,w) \ v5)) \ 1 = (v5 * a(x,w,u)) \ a(x,z,y). [para(15219(a,1),10262(a,1,1))]. given #14000 (H,wt=25): 15255 (x \ 1) * (((x \ 1) * a(y,z,u)) \ w) = x \ ((a(y,z,u) \ x) * w). [hyper(58,a,14777,a(flip),b,15254,a),flip(a)]. given #14001 (H,wt=23): 15261 (x \ 1) * ((x \ a(y,z,u)) \ w) = x \ ((a(y,z,u) \ x) * w). [para(10250(a,1),15255(a,1,2,1))]. given #14002 (H,wt=26): 14741 ((K(x,y) * z) * u) \ (K(x,y) * (z * (u * w))) = L(w,u,K(x,y) * z). [hyper(112,a,14342,a(flip),b,87,a)]. given #14003 (H,wt=26): 14780 ((x * K(y,z)) * u) \ (x * (K(y,z) * (u * w))) = L(w,u,x * K(y,z)). [hyper(112,a,14384,a(flip),b,87,a)]. given #14004 (H,wt=26): 14908 a(x,y \ a(z,u,w \ 1),v5) != v6 | a(x,a(w,z,u) \ (y \ 1),v5) = v6. [para(14845(a,1),9122(a,1,2))]. given #14005 (H,wt=26): 14934 L(x,(((y \ 1) \ 1) \ z) * u,w) != v5 | L(x,((z \ 1) * y) \ u,w) = v5. [para(4148(a,1),14734(a,1,2,1))]. given #14006 (H,wt=26): 14941 L(x,y,((1 / z) \ u) \ w) != v5 | L(x,y,((u \ 1) * (z \ 1)) * w) = v5. [para(4020(a,1),14880(a,1,3,1))]. given #14007 (H,wt=26): 14944 R(x,(y \ (z * u)) / z,w) != v5 | L(x,w,(u / z) \ ((1 / z) * y)) = v5. [para(777(a,1),14942(a,1,2))]. given #14008 (H,wt=26): 14948 L(x,y,((z \ (u \ 1)) \ w) \ 1) != v5 | L(x,y,w \ ((1 / z) / u)) = v5. [para(4904(a,2),14927(a,1,3))]. given #14009 (H,wt=26): 15103 K(x,((y / z) * (z * x)) \ (y * (u * x))) != w \ v5 | w * K(x,u) = v5. [para(9407(a,1),15100(a,1))]. given #14010 (H,wt=26): 15262 (K(x,y) * (z * u)) \ (K(x,y) * (z * (u * w))) = L(w,u,K(x,y) * z). [para(14342(a,1),14741(a,1,1))]. given #14011 (H,wt=20): 15265 L(L(x,y,z),z * y,K(u,w)) = L(x,y,K(u,w) * z). [hyper(733,a,15262,a)]. given #14012 (H,wt=13): 15267 L(x,y,K(z,u) * w) = L(x,y,w). [hyper(14368,a,15265,a),flip(a)]. given #14013 (H,wt=13): 15270 L(x,y,z * K(u,w)) = L(x,y,z). [hyper(14726,a,15267,a)]. given #14014 (H,wt=15): 15276 L(x,y,T(z,u) * w) = L(x,y,z * w). [para(2694(a,1),15267(a,1,3))]. given #14015 (H,wt=15): 15277 L(x,y,T(z,u) \ w) = L(x,y,z \ w). [para(3153(a,1),15267(a,1,3)),flip(a)]. given #14016 (H,wt=15): 15278 L(x,y,z \ T(u,w)) = L(x,y,z \ u). [para(4070(a,1),15267(a,1,3)),flip(a)]. given #14017 (H,wt=15): 15279 L(x,y,z * T(u,w)) = L(x,y,z * u). [para(4502(a,1),15267(a,1,3))]. given #14018 (H,wt=16): 15269 L(x,y,K(z,u) * w) != v5 | L(x,y,w) = v5. [para(15265(a,1),14368(a,1))]. given #14019 (H,wt=16): 15317 L(x,y,z * K(u,w)) != v5 | L(x,y,z) = v5. [para(5225(a,1),15269(a,1,3))]. given #14020 (H,wt=16): 15319 L(x,y,K(z,u)) != w | L(x,y,K(v5,v6)) = w. [para(15270(a,1),15269(a,1))]. given #14021 (H,wt=16): 15370 T(x,a(y,z,u)) != w | L(x,z,K(v5,v6)) = w. [para(10697(a,1),15319(a,1))]. given #14022 (H,wt=16): 15371 R(x,y,K(z,u)) != w | L(x,y,K(v5,v6)) = w. [para(10698(a,2),15319(a,1))]. given #14023 (H,wt=16): 15374 T(x,a(y,z,u)) != w | L(x,u,K(v5,v6)) = w. [para(10711(a,1),15319(a,1))]. given #14024 (H,wt=16): 15375 L(x,y,K(z,u)) != w | L(x,z,K(v5,v6)) = w. [para(10712(a,1),15319(a,1))]. given #14025 (H,wt=16): 15376 L(x,y,K(z,u)) != w | L(x,u,K(v5,v6)) = w. [para(10712(a,2),15319(a,1))]. given #14026 (H,wt=17): 15280 L(x,y,(K(z,u) * w) * v5) = L(x,y,w * v5). [para(6244(a,1),15267(a,1,3))]. given #14027 (H,wt=17): 15281 L(x,y,z \ (K(u,w) * v5)) = L(x,y,z \ v5). [para(10867(a,1),15267(a,1,3))]. given #14028 (H,wt=17): 15289 a(x,y * K(z,u),w) = x * L(x \ 1,w,y). [hyper(114,a,15270,a(flip),b,1184,a(flip)),flip(a)]. given #14029 (H,wt=13): 15390 a(x,y * K(z,u),w) = a(x,y,w). [hyper(272,a,1178,a,b,15289,a),flip(a)]. given #14030 (H,wt=15): 15399 a(x,y \ T(z,u),w) = a(x,y \ z,w). [para(1042(a,1),15390(a,1,2))]. given #14031 (H,wt=15): 15403 a(x,T(y,z) \ u,w) = a(x,y \ u,w). [para(5302(a,1),15390(a,1,2))]. given #14032 (H,wt=16): 15391 a(x,y * K(z,u),w) != v5 | a(x,y,w) = v5. [para(15289(a,2),1204(a,1))]. given #14033 (H,wt=17): 15295 L(x,y,(K(z,u) * w) \ v5) = L(x,y,w \ v5). [para(11512(a,1),15270(a,1,3))]. given #14034 (H,wt=17): 15300 L(x,y,((z \ u) \ u) \ w) = L(x,y,z \ w). [para(99(a,1),15277(a,1,3,1))]. given #14035 (H,wt=17): 15313 L(x,y,a(z,u,u) * w) != v5 | L(x,y,w) = v5. [para(4220(a,1),15269(a,1,3,1))]. given #14036 (H,wt=17): 15320 L(x,y,z * a(u,w,w)) != v5 | L(x,y,z) = v5. [para(4220(a,1),15317(a,1,3,2))]. given #14037 (H,wt=17): 15410 L(x,y,(z \ (u \ z)) * w) = L(x,y,u \ w). [hyper(58,a,9093,a(flip),b,15300,a)]. given #14038 (H,wt=18): 15306 L(x,y,z \ T(u,w)) != v5 | L(x,y,u / z) = v5. [para(15278(a,2),14717(a,1))]. given #14039 (H,wt=18): 15312 L(x,y,T(z,u) \ w) != v5 | L(x,y,z \ w) = v5. [para(3885(a,1),15269(a,1,3))]. given #14040 (H,wt=18): 15315 L(x,y,z * T(u,w)) != v5 | L(x,y,z * u) = v5. [para(4502(a,1),15269(a,1,3))]. given #14041 (H,wt=18): 15316 L(x,y,z \ T(u,w)) != v5 | L(x,y,z \ u) = v5. [para(4500(a,1),15269(a,1,3))]. given #14042 (H,wt=18): 15322 L(x,y,z \ K(u,w)) != v5 | L(x,y,z \ 1) = v5. [para(5586(a,1),15317(a,1,3))]. given #14043 (H,wt=18): 15372 x * a(y,z,K(x,u)) != w | L(x,z,K(v5,v6)) = w. [para(10700(a,2),15319(a,1))]. given #14044 (H,wt=18): 15373 x * a(y,z,K(x,u)) != w | L(x,u,K(v5,v6)) = w. [para(10708(a,2),15319(a,1))]. given #14045 (H,wt=18): 15381 T(x,T(a(y,z,u),w)) != v5 | L(x,u,K(v6,v7)) = v5. [para(11034(a,2),15319(a,1))]. given #14046 (H,wt=19): 15282 L(x,y,(T(z,u) \ w) * v5) = L(x,y,(z \ w) * v5). [para(14746(a,1),15267(a,1,3)),flip(a)]. given #14047 (H,wt=19): 15308 L(x,y,z * (u * (w \ 1))) = L(x,y,z * (w \ u)). [para(383(a,1),15279(a,1,3,2))]. given #14048 (H,wt=19): 15384 L(x,y,(z \ T(u,w)) * v5) = L(x,y,(z \ u) * v5). [para(4070(a,1),15280(a,1,3,1)),flip(a)]. given #14049 (H,wt=19): 15386 L(x,y,z \ (T(u,w) \ v5)) = L(x,y,z \ (u \ v5)). [para(3153(a,1),15281(a,1,3,2)),flip(a)]. given #14050 (H,wt=19): 15388 L(x,y,z \ (u * T(w,v5))) = L(x,y,z \ (u * w)). [para(4502(a,1),15281(a,1,3,2))]. given #14051 (H,wt=19): 15404 a(x,y \ ((z / u) \ 1),w) = a(x,y \ (z \ u),w). [para(2257(a,1),15399(a,1,2,2)),flip(a)]. given #14052 (H,wt=19): 15425 L(x,y,z * (T(u,w) \ v5)) = L(x,y,(u \ v5) * z). [hyper(14726,a,15282,a)]. given #14053 (H,wt=20): 15314 L(x,y,(z / u) * w) != v5 | L(x,y,(u \ z) * w) = v5. [para(3186(a,1),15269(a,1,3))]. given #14054 (H,wt=20): 15318 L(x,y,(K(z,u) * w) * v5) != v6 | L(x,y,w * v5) = v6. [para(6244(a,1),15269(a,1,3))]. given #14055 (H,wt=20): 15323 L(x,y,z \ (u / w)) != v5 | L(x,y,z \ (w \ u)) = v5. [para(5704(a,1),15317(a,1,3))]. given #14056 (H,wt=20): 15378 T(x \ y,L(x,z,u)) != w | L(y / x,x,K(v5,v6)) = w. [para(10732(a,1),15319(a,1))]. given #14057 (H,wt=20): 15414 L(x,y,z * ((u * w) \ u)) != v5 | L(x,y,z / w) = v5. [para(9096(a,1),15306(a,1))]. given #14058 (H,wt=18): 15447 L(x,y,z * (1 / u)) != w | L(x,y,z / u) = w. [para(148(a,1),15414(a,1,3,2))]. given #14059 (H,wt=20): 15423 L(x,T(y,z),z \ K(y,u)) != w | L(x,y,z \ 1) = w. [para(9286(a,2),15322(a,1))]. given #14060 (H,wt=20): 15424 L(x,T(y,z),u \ K(w,v5)) != v6 | L(x,y,u \ 1) = v6. [para(14565(a,2),15322(a,1))]. given #14061 (H,wt=20): 15440 L(x,y,(z / u) \ w) != v5 | L(x,y,(z \ u) * w) = v5. [para(9095(a,2),15314(a,1))]. given #14062 (H,wt=20): 15446 L(x,y,(z / u) / w) != v5 | L(x,y,w \ (u \ z)) = v5. [para(14570(a,2),15323(a,1))]. given #14063 (H,wt=21): 15296 L(x,y,R(T(z,u),w,v5) * v6) = L(x,y,R(z,w,v5) * v6). [para(22(a,2),15276(a,1,3,1))]. given #14064 (H,wt=21): 15387 L(x,y,z \ ((u / w) \ v5)) = L(x,y,z \ ((w \ u) \ v5)). [para(3950(a,1),15281(a,1,3,2))]. given #14065 (H,wt=21): 15406 a(x,L(y,z,u) \ (w \ y),v5) = a(x,w \ a(u,z,y),v5). [para(14838(a,1),15403(a,1,2))]. given #14066 (H,wt=21): 15412 L(x,y,(z \ a(u,w,w)) * v5) != v6 | L(x,y,z \ v5) = v6. [para(9084(a,2),15320(a,1))]. given #14067 (H,wt=20): 15450 L(x,y,((z * u) \ z) * w) != v5 | L(x,y,u \ w) = v5. [para(5669(a,2),15412(a,1,3,1))]. given #14068 (H,wt=18): 15453 L(x,y,(z * u) \ z) != w | L(x,y,u \ 1) = w. [para(3(a,1),15450(a,1,3))]. given #14069 (H,wt=18): 15456 L(x,y,z \ (z / u)) != w | L(x,y,u \ 1) = w. [para(7(a,1),15453(a,1,3,1))]. given #14070 (H,wt=20): 15454 L(x,y,(z \ (z / u)) * w) != v5 | L(x,y,u \ w) = v5. [para(7(a,1),15450(a,1,3,1,1))]. given #14071 (H,wt=20): 15457 L(x,y,T(1 / z,u)) != w | L(x,y,T(z,u) \ 1) = w. [para(2254(a,1),15456(a,1,3))]. given #14072 (H,wt=20): 15458 L(x,y,z * (u \ (u / w))) != v5 | L(x,y,w \ z) = v5. [para(14569(a,1),15454(a,1))]. given #14073 (H,wt=21): 15427 L(x,y,z \ ((u * w) / z)) = L(x,y,(z \ u) * (z \ w)). [para(1136(a,1),15308(a,1,3))]. given #14074 (H,wt=21): 15428 L(x,y,((z / u) * w) \ v5) = L(x,y,(w \ (z \ u)) * v5). [hyper(58,a,9111,a(flip),b,15384,a)]. given #14075 (H,wt=21): 15434 L(x,y,z \ (u * (z * w))) = L(x,y,z * ((z \ u) * w)). [hyper(58,a,14703,a(flip),b,15388,a),flip(a)]. given #14076 (H,wt=21): 15459 L(x,y,z \ (z \ (u * w))) = L(x,y,(z \ u) * (z \ w)). [hyper(15323,a,15427,a)]. given #14077 (H,wt=21): 15463 L(x,T(y,z),(y \ u) * (y \ w)) = L(x,T(y,z),u * w). [hyper(58,a,15000,a(flip),b,15459,a),flip(a)]. given #14078 (H,wt=21): 15464 L(x,T(y,z),(y * u) * w) = L(x,T(y,z),u * (y \ w)). [para(4(a,1),15463(a,1,3,1)),flip(a)]. given #14079 (H,wt=19): 15465 L(x,T(y,z),(y * u) * w) = L(x,y,u * (y \ w)). [hyper(272,a,14565,a(flip),b,15464,a),flip(a)]. given #14080 (H,wt=17): 15466 L(x,y,(y * z) * u) = L(x,y,z * (y \ u)). [hyper(14727,a,15465,a)]. given #14081 (H,wt=22): 15311 L(x,y,z * (u * K(w,w \ 1))) != v5 | L(x,y,z * u) = v5. [para(2116(a,1),15269(a,1,3))]. given #14082 (H,wt=22): 15415 L(x,y,((1 / z) \ u) \ w) != v5 | L(x,y,(u * z) \ w) = v5. [para(2773(a,1),15312(a,1,3,1))]. given #14083 (H,wt=22): 15416 L(x,y,((z \ 1) \ u) \ w) != v5 | L(x,y,(z * u) \ w) = v5. [para(5786(a,1),15312(a,1,3,1))]. given #14084 (H,wt=22): 15417 L(x,y,z * (u * (w \ 1))) != v5 | L(x,y,z * (w \ u)) = v5. [para(383(a,1),15315(a,1,3,2))]. given #14085 (H,wt=22): 15418 L(x,y,z * ((1 / u) \ w)) != v5 | L(x,y,z * (w * u)) = v5. [para(2773(a,1),15315(a,1,3,2))]. given #14086 (H,wt=22): 15419 L(x,y,z * ((1 / u) * w)) != v5 | L(x,y,z * (u \ w)) = v5. [para(3815(a,1),15315(a,1,3,2))]. given #14087 (H,wt=22): 15420 L(x,y,z \ ((1 / u) * w)) != v5 | L(x,y,z \ (u \ w)) = v5. [para(3815(a,1),15316(a,1,3,2))]. given #14088 (H,wt=21): 15473 L(x,y,(z / u) \ (u \ w)) = L(x,y,((u * z) \ w) * u). [hyper(15420,a,15173,a)]. given #14089 (H,wt=21): 15474 L(x,y,((z * u) \ w) * z) = L(x,y,(u \ z) * (z \ w)). [hyper(15440,a,15473,a),flip(a)]. given #14090 (H,wt=21): 15475 L(x,y,(z \ u) * (u \ w)) = L(x,y,u * ((u * z) \ w)). [hyper(14726,a,15474,a),flip(a)]. given #14091 (H,wt=22): 15421 L(x,y,z \ ((u \ w) \ 1)) != v5 | L(x,y,z \ (u / w)) = v5. [para(6766(a,1),15316(a,1,3,2))]. given #14092 (H,wt=22): 15439 L(x,y,z * (T(u,w) \ v5)) != v6 | L(x,y,z * (u \ v5)) = v6. [para(15425(a,2),14726(a,1))]. given #14093 (H,wt=22): 15441 L(x,y,(T(z,u) \ w) * v5) != v6 | L(x,y,(z \ w) * v5) = v6. [para(3885(a,1),15318(a,1,3,1))]. given #14094 (H,wt=22): 15449 L(x,y,z * (u \ (1 / z))) != w | L(x,y,z \ (u \ z)) = w. [para(9062(a,2),15446(a,1))]. given #14095 (H,wt=20): 15481 L(x,y,z / (z * u)) != w | L(x,y,z \ (u \ z)) = w. [para(9142(a,1),15449(a,1))]. given #14096 (H,wt=22): 15469 L(x,y,(z \ (1 / u)) * w) != v5 | L(x,y,(z * u) \ w) = v5. [para(9093(a,1),15415(a,1))]. given #14097 (H,wt=22): 15471 L(x,y,(z \ (u \ 1)) * w) != v5 | L(x,y,(u * z) \ w) = v5. [para(9093(a,1),15416(a,1))]. given #14098 (H,wt=22): 15472 L(x,y,z * (u / w)) != v5 | L(x,y,z * (T(w,u) \ u)) = v5. [para(2793(a,1),15419(a,1,3,2))]. given #14099 (H,wt=22): 15483 L(x,y,(z \ (1 / u)) * w) != v5 | L(x,y,(u * z) \ w) = v5. [para(9125(a,2),15471(a,1))]. given #14100 (H,wt=23): 15304 L(x,y,z \ (T(u / w,u) \ v5)) = L(x,y,z \ (v5 * (u \ w))). [para(3081(a,1),15278(a,1,3,2)),flip(a)]. given #14101 (H,wt=21): 15484 L(x,y,z \ ((u / w) \ v5)) = L(x,y,z \ (v5 * (u \ w))). [hyper(58,a,15386,a(flip),b,15304,a)]. given #14102 (H,wt=21): 15486 L(x,y,z \ ((u \ w) \ v5)) = L(x,y,z \ (v5 * (w \ u))). [hyper(58,a,15387,a(flip),b,15484,a)]. given #14103 (H,wt=23): 15309 L(x,y,z * (T(u / w,u) \ v5)) = L(x,y,z * (v5 * (u \ w))). [para(3081(a,1),15279(a,1,3,2)),flip(a)]. given #14104 (H,wt=21): 15488 L(x,y,z * ((u / w) \ v5)) = L(x,y,z * (v5 * (u \ w))). [hyper(15439,a,15309,a)]. given #14105 (H,wt=23): 15379 x / (a(y,z,u) \ 1) != w | L(a(y,z,u) * x,u,K(v5,v6)) = w. [para(10718(a,1),15319(a,1))]. given #14106 (H,wt=23): 15385 L(x,y,((z * T(u,w)) \ v5) * v6) = L(x,y,((z * u) \ v5) * v6). [para(14804(a,1),15280(a,1,3,1)),flip(a)]. given #14107 (H,wt=21): 15489 L(x,y,((z * u) \ w) * v5) = L(x,y,((u * z) \ w) * v5). [para(98(a,1),15385(a,1,3,1,1))]. given #14108 (H,wt=23): 15409 L(x,y,((T(z,u) / w) * v5) \ v6) = L(x,y,((z / w) * v5) \ v6). [para(14750(a,1),15295(a,1,3,1))]. given #14109 (H,wt=23): 15426 L(x,y,(((z \ 1) \ u) \ w) * v5) = L(x,y,((z * u) \ w) * v5). [para(5786(a,1),15282(a,1,3,1,1))]. given #14110 (H,wt=23): 15430 L(x,y,(z \ (u * (w \ 1))) * v5) = L(x,y,(z \ (w \ u)) * v5). [para(383(a,1),15384(a,1,3,1,2))]. given #14111 (H,wt=23): 15431 L(x,y,(z \ ((u \ 1) \ w)) * v5) = L(x,y,(z \ (u * w)) * v5). [para(5786(a,1),15384(a,1,3,1,2))]. given #14112 (H,wt=23): 15433 L(x,y,z \ (((u \ 1) \ w) \ v5)) = L(x,y,z \ ((u * w) \ v5)). [para(5786(a,1),15386(a,1,3,2,1))]. given #14113 (H,wt=23): 15435 L(x,y,z \ (u * (w * (v5 \ 1)))) = L(x,y,z \ (u * (v5 \ w))). [para(383(a,1),15388(a,1,3,2,2))]. given #14114 (H,wt=23): 15436 a(x,R(y,z,u) \ (w \ y),v5) = a(x,w \ a(z,u,y \ 1),v5). [hyper(58,a,14909,a(flip),b,15404,a),flip(a)]. given #14115 (H,wt=23): 15451 L(x,y,(z \ a(u,w,w)) / v5) != v6 | L(x,y,z \ (v5 \ 1)) = v6. [para(8941(a,1),15412(a,1))]. given #14116 (H,wt=23): 15462 x \ L(x,y,z * ((z \ u) * w)) = a(y,x,(u * (z * w)) \ z). [hyper(112,a,15434,a(flip),b,12393,a)]. given #14117 (H,wt=23): 15491 L(x,y,((T(z,u) / w) * v5) \ v6) = L(x,y,(v5 \ (z \ w)) * v6). [hyper(272,a,15428,a(flip),b,15409,a),flip(a)]. given #14118 (H,wt=23): 15492 L(x,y,((z \ (u \ 1)) * w) * v5) = L(x,y,((u * z) \ w) * v5). [hyper(58,a,9323,a(flip),b,15426,a)]. given #14119 (H,wt=23): 15494 L(x,y,z \ (u * (w \ (v5 \ 1)))) = L(x,y,z \ ((v5 * w) \ u)). [hyper(58,a,15486,a(flip),b,15433,a)]. given #14120 (H,wt=23): 15495 L(x,y,z * ((z \ u) * (w \ 1))) = L(x,y,z \ (u * (w \ z))). [hyper(58,a,15434,a(flip),b,15435,a)]. given #14121 (H,wt=21): 15500 L(x,y,z \ (u * (w \ z))) = L(x,y,z * (w \ (z \ u))). [hyper(15417,a,15495,a),flip(a)]. given #14122 (H,wt=23): 15497 L(x,y,(z \ (T(u,w) \ v5)) * v6) = L(x,y,(z \ (u \ v5)) * v6). [hyper(58,a,15428,a(flip),b,15491,a)]. given #14123 (H,wt=23): 15498 L(x,y,((z \ (u \ 1)) * w) * v5) = L(x,y,((z * u) \ w) * v5). [hyper(272,a,15489,a,b,15492,a),flip(a)]. given #14124 (H,wt=23): 15499 L(x,y,z \ (((1 / u) * w) \ v5)) = L(x,y,z \ (v5 * (w \ u))). [para(74(a,1),15494(a,1,3,2,2,2)),flip(a)]. given #14125 (H,wt=23): 15502 L(x,y,((z * (1 / u)) \ w) * v5) = L(x,y,((z \ u) * w) * v5). [para(74(a,1),15498(a,1,3,1,1,2)),flip(a)]. given #14126 (H,wt=23): 15503 L(x,y,((z * (1 / u)) \ w) * v5) = L(x,y,v5 * ((z \ u) * w)). [hyper(272,a,14569,a,b,15502,a),flip(a)]. given #14127 (H,wt=24): 15310 L(x,y,((1 / z) * u) * w) != v5 | L(x,y,((z \ 1) * u) * w) = v5. [para(2088(a,1),15269(a,1,3))]. given #14128 (H,wt=24): 15443 L(x,y,L(T(z,u),w,v5) * v6) != v7 | L(x,y,L(z,w,v5) * v6) = v7. [para(15164(a,1),15318(a,1,3,1))]. given #14129 (H,wt=24): 15455 L(x,y,z \ ((u / w) \ v5)) != v6 | L(x,y,z \ ((w / u) * v5)) = v6. [para(9332(a,1),15450(a,1))]. given #14130 (H,wt=24): 15468 L(x,y,z * (u \ (1 / w))) != v5 | L(x,y,z * (u \ (w \ 1))) = v5. [para(5704(a,1),15311(a,1,3,2))]. given #14131 (H,wt=24): 15470 L(x,y,((z * u) * z) \ w) != v5 | L(x,y,(z * (u * z)) \ w) = v5. [para(3502(a,1),15416(a,1,3,1))]. given #14132 (H,wt=24): 15480 L(x,y,z * ((u / w) \ v5)) != v6 | L(x,y,z * ((w \ u) \ v5)) = v6. [para(2775(a,1),15439(a,1,3,2,1))]. given #14133 (H,wt=24): 15506 L(x,y,z * (u * (w \ v5))) != v6 | L(x,y,z * ((v5 \ w) \ u)) = v6. [para(15488(a,1),15480(a,1))]. given #14134 (H,wt=25): 15490 L(x,y,((z * (u / w)) \ v5) * v6) = L(x,y,((z * (w \ u)) \ v5) * v6). [para(100(a,1),15385(a,1,3,1,1,2)),flip(a)]. given #14135 (H,wt=25): 15496 a(x,y,z * ((z * u) \ (w \ 1))) = y \ L(y,x,z * ((z \ w) * u)). [hyper(272,a,15128,a,b,15462,a)]. given #14136 (H,wt=25): 15501 L(x,y,(z \ (((u \ w) \ w) \ v5)) * v6) = L(x,y,(z \ (u \ v5)) * v6). [para(99(a,1),15497(a,1,3,1,2,1))]. given #14137 (H,wt=23): 15507 L(x,y,(z \ ((u \ 1) * w)) * v5) = L(x,y,(z \ (u \ w)) * v5). [hyper(58,a,15431,a(flip),b,15501,a)]. given #14138 (H,wt=26): 15263 (x * (K(y,z) * u)) \ (x * (K(y,z) * (u * w))) = L(w,u,x * K(y,z)). [para(14384(a,1),14780(a,1,1))]. given #14139 (H,wt=26): 15452 L(x,y,z \ (T(u,w \ 1) \ v5)) != v6 | L(x,y,z \ (T(u,w) \ v5)) = v6. [para(9087(a,1),15412(a,1))]. given #14140 (H,wt=26): 15482 L(x,y,(z \ T(u \ w,w)) * v5) != v6 | L(x,y,((u / w) * z) \ v5) = v6. [para(2768(a,2),15471(a,1,3,1,2))]. given #14141 (H,wt=26): 15504 L(x,y,((z * (1 / u)) \ w) * v5) != v6 | L(x,y,((z \ u) * w) * v5) = v6. [para(15503(a,2),14726(a,1))]. given #14142 (H,wt=26): 15505 L(x,y,(z \ ((z * u) \ 1)) * w) != v5 | L(x,y,(z * (u * z)) \ w) = v5. [para(9103(a,2),15470(a,1))]. given #14143 (H,wt=26): 15510 L(x,y,((z * (u \ 1)) \ w) * v5) != v6 | L(x,y,((z \ u) * w) * v5) = v6. [para(15490(a,1),15504(a,1))]. given #14144 (H,wt=26): 15511 L(x,y,(((z \ 1) * u) \ w) * v5) != v6 | L(x,y,((u \ z) * w) * v5) = v6. [para(15489(a,1),15510(a,1))]. given #14145 (H,wt=27): 14775 (x \ 1) \ (a(y,z,u) \ ((x \ 1) * w)) = (w * ((a(y,z,u) \ 1) * x)) / x. [hyper(112,a,14382,a(flip),b,7049,a)]. given #14146 (H,wt=25): 15512 (x \ 1) \ (a(y,z,u) \ ((x \ 1) * w)) = (w * (a(y,z,u) \ x)) / x. [para(10812(a,1),14775(a,2,1,2))]. given #14147 (H,wt=25): 15513 (x \ 1) * (((x \ 1) * a(y,z,u)) \ w) = (w * (a(y,z,u) \ x)) / x. [hyper(58,a,15260,a(flip),b,15512,a)]. given #14148 (H,wt=23): 15514 (x \ 1) * ((x \ a(y,z,u)) \ w) = (w * (a(y,z,u) \ x)) / x. [para(10250(a,1),15513(a,1,2,1))]. given #14149 (H,wt=23): 15515 (x \ 1) * ((x \ a(y,z,u)) \ w) = x * (a(y,z,u) \ (x \ w)). [hyper(272,a,15236,a(flip),b,15514,a),flip(a)]. given #14150 (H,wt=21): 15516 x \ ((a(y,z,u) \ x) * w) = x * (a(y,z,u) \ (x \ w)). [hyper(58,a,15261,a(flip),b,15515,a)]. given #14151 (H,wt=27): 14935 (x * (y * K(z,u))) / T(x * K(z,T(u,y)),y) != w | L(y,K(z,u),x) = w. [para(8265(a,2),14736(a,1))]. given #14152 (H,wt=27): 15208 a(x,y,L(z,u,(u * L(z,y,x)) * w)) = L(a(x,y,z),u * L(z,y,x),w). [hyper(58,a,12536,a(flip),b,15207,a)]. given #14153 (H,wt=22): 15517 a(x,y,L(z,u,(u * L(z,y,x)) * w)) = a(x,y,L(z,u,w)). [hyper(272,a,12536,a(flip),b,15208,a),flip(a)]. given #14154 (H,wt=22): 15518 a(x,y,L(z,u,L(z,y,x) * (u \ w))) = a(x,y,L(z,u,w)). [para(15466(a,1),15517(a,1,3))]. given #14155 (H,wt=27): 15264 L(x,((y \ 1) * z) * L(u,y,y),w) != v5 | L(x,((z \ 1) * y) \ u,w) = v5. [para(9201(a,2),14934(a,1))]. given #14156 (H,wt=27): 15369 (x \ 1) \ (K(x \ 1,x) * y) != z | L((1 / x) \ y,1 / x,K(u,w)) = z. [para(959(a,1),15319(a,1))]. given #14157 (H,wt=27): 15413 L(x,y,((z \ u) \ (z \ (R(z,w,v5) \ u))) * v6) = L(x,y,R(z,w,v5) \ v6). [para(13032(a,1),15410(a,1,3,1,2))]. given #14158 (H,wt=23): 15519 L(x,y,R(T(1 / z,u),w,v5) * v6) = L(x,y,R(z,w,v5) \ v6). [para(15019(a,1),15413(a,1,3,1))]. given #14159 (H,wt=27): 15477 (x * L(y,z,u * ((u * w) \ v5))) \ (x * y) = a((w \ u) * (u \ v5),z,y). [para(15475(a,1),12426(a,1,1,2))]. given #14160 (H,wt=21): 15520 a((x \ y) * (y \ z),u,w) = a(y * ((y * x) \ z),u,w). [hyper(12428,a,15477,a),flip(a)]. given #14161 (H,wt=21): 15521 a(x * ((x * y) \ z),u,w) = a(u,w,(y \ x) * (x \ z)). [hyper(13691,a,15520,a),flip(a)]. given #14162 (H,wt=21): 15522 a(x,y,(z \ u) * (u \ w)) = a(x,y,u * ((u * z) \ w)). [hyper(13691,a,15521,a),flip(a)]. given #14163 (H,wt=21): 15524 a(x,y,(z \ u) * (w \ z)) = a(x,y,z * ((z * w) \ u)). [hyper(14980,a,15522,a)]. given #14164 (H,wt=24): 15523 a(x,y,(z \ u) * (u \ w)) != v5 | a(x,y,u * ((u * z) \ w)) = v5. [para(15521(a,1),13691(a,1))]. given #14165 (H,wt=24): 15525 a(x,y,z * ((z * u) \ w)) != v5 | a(x,y,(z \ w) * (u \ z)) = v5. [para(15522(a,1),14980(a,1))]. given #14166 (H,wt=28): 14875 R(x,(1 / y) \ y,y \ (y \ z)) != u | L(x,y \ (z \ (y \ 1)),y * y) = u. [para(12541(a,2),14726(a,1))]. given #14167 (H,wt=28): 15150 L(a(x,y,z),z * ((u * z) \ 1),w) = a(x,y,L(z,u \ (1 / L(z,y,x)),w)). [para(15143(a,1),12538(a,1,2))]. given #14168 (H,wt=26): 15526 L(a(x,y,z),(u * z) \ z,w) = a(x,y,L(z,u \ (1 / L(z,y,x)),w)). [hyper(14707,a,15150,a)]. given #14169 (H,wt=24): 15528 a(x,y,L(z,u \ (1 / L(z,y,x)),w)) = L(a(x,y,z),u \ 1,w). [hyper(14732,a,15526,a),flip(a)]. given #14170 (H,wt=22): 15529 a(x,y,L(z,u \ (1 / L(z,y,x)),w)) = L(a(x,y,z),w,u). [hyper(272,a,15182,a(flip),b,15528,a),flip(a)]. given #14171 (H,wt=22): 15530 a(x,y,L(z,u \ (L(z,y,x) \ 1),w)) = L(a(x,y,z),w,u). [para(2466(a,1),15529(a,1,3))]. given #14172 (H,wt=20): 15531 a(x,y,R(z,u,L(z,y,x) * w)) = L(a(x,y,z),u,w). [para(13711(a,1),15530(a,1,3))]. given #14173 (H,wt=29): 14744 (x * (K(y,z) * u)) \ (x * (K(y,z) * (u * w))) != v5 | L(w,K(y,z) * u,x) = v5. [para(14342(a,1),430(a,1,2,2))]. given #14174 (H,wt=17): 15532 L(x,K(y,z) * u,w) = L(x,u,w * K(y,z)). [hyper(14744,a,15263,a)]. given #14175 (H,wt=13): 15533 L(x,K(y,z) * u,w) = L(x,u,w). [hyper(272,a,15270,a(flip),b,15532,a),flip(a)]. given #14176 (H,wt=13): 15536 L(x,y * K(z,u),w) = L(x,y,w). [hyper(14641,a,15533,a)]. given #14177 (H,wt=16): 15534 L(x,K(y,z) * u,w) != v5 | L(x,u,w) = v5. [para(15532(a,2),15317(a,1))]. given #14178 (H,wt=17): 15542 L(x,y * (K(z,u) * w),v5) = L(x,y * w,v5). [para(6538(a,1),15533(a,1,2)),flip(a)]. given #14179 (H,wt=17): 15546 L(x,y \ (z / u),w) = L(x,y \ (u \ z),w). [para(5704(a,1),15536(a,1,2))]. given #14180 (H,wt=18): 15548 L(x,(y \ z) \ 1,u) != w | L(x,z \ y,u) = w. [para(11593(a,1),15534(a,1,2))]. given #14181 (H,wt=16): 15557 R(x,y,z \ u) != w | L(x,u \ z,y) = w. [para(13717(a,2),15548(a,1))]. given #14182 (H,wt=18): 15555 L(x,y \ 1,z) != u | L(x,(w * y) \ w,z) = u. [para(4(a,1),15548(a,1,2,1))]. given #14183 (H,wt=20): 15547 L(x,y * K(z,u),w * K(v5,v6)) != v7 | L(x,y,w) = v7. [para(15536(a,2),15317(a,1))]. given #14184 (H,wt=13): 15558 T(x,y * y) != z | L(x,y,y) = z. [para(11326(a,1),15547(a,1))]. given #14185 (H,wt=16): 15559 1 / L(x,y,y) != z | L(1 / x,y,y) = z. [para(3789(a,1),15558(a,1))]. given #14186 (H,wt=21): 15551 a(x,y,z * (K(u,w) * v5)) = x * L(x \ 1,z * v5,y). [hyper(114,a,15542,a(flip),b,1184,a(flip)),flip(a)]. given #14187 (H,wt=17): 15561 a(x,y,z * (K(u,w) * v5)) = a(x,y,z * v5). [hyper(272,a,1178,a,b,15551,a),flip(a)]. given #14188 (H,wt=13): 15564 a(x,y,z * K(u,w)) = a(x,y,z). [para(2881(a,1),15561(a,1,3)),flip(a)]. given #14189 (H,wt=13): 15566 a(x,y,K(z,u) * w) = a(x,y,w). [para(3880(a,1),15561(a,1,3)),flip(a)]. given #14190 (H,wt=14): 15567 a(x,y,z * a(u,w,w)) = a(x,y,z). [para(4220(a,1),15564(a,1,3,2))]. given #14191 (H,wt=17): 15565 a(x,y,z * (u / w)) = a(x,y,z * (w \ u)). [para(2827(a,1),15561(a,1,3,2))]. given #14192 (H,wt=17): 15569 a(x,y,z \ (u * w)) = a(x,y,z \ (w * u)). [para(6875(a,1),15564(a,1,3))]. given #14193 (H,wt=17): 15570 a(x,y,L(T(z,u),w,v5)) = a(x,y,L(z,w,v5)). [para(14547(a,1),15564(a,1,3))]. given #14194 (H,wt=17): 15571 a(x,y,z \ (u * (w / u))) = a(x,y,z \ w). [para(14792(a,1),15564(a,1,3))]. given #14195 (H,wt=17): 15573 a(x,y * K(z,u),w) = a(x,y,K(v5,v6) * w). [hyper(15391,a,15566,a),flip(a)]. given #14196 (H,wt=16): 15588 a(x,y,K(z,u) * w) != v5 | a(x,y,w) = v5. [para(15573(a,1),15391(a,1))]. given #14197 (H,wt=16): 15590 a(x,y,(z \ u) \ u) != w | a(x,y,z) = w. [para(2800(a,2),15588(a,1,3))]. given #14198 (H,wt=16): 15592 a(x,y,K(z,u)) != w | a(x,y,K(v5,v6)) = w. [para(15564(a,1),15588(a,1))]. given #14199 (H,wt=16): 15656 K(a(x,y,z),u) != w | a(x,y,K(v5,v6)) = w. [para(10282(a,1),15592(a,1))]. given #14200 (H,wt=16): 15657 a(K(x,y),z,u) != w | a(y,z,K(v5,v6)) = w. [para(10574(a,2),15592(a,1))]. given #14201 (H,wt=16): 15658 a(x,y,K(z,u)) != w | a(z,y,K(v5,v6)) = w. [para(10579(a,1),15592(a,1))]. given #14202 (H,wt=16): 15659 a(x,y,K(z,u)) != w | a(u,y,K(v5,v6)) = w. [para(10580(a,2),15592(a,1))]. given #14203 (H,wt=16): 15660 K(x,a(y,z,u)) != w | a(x,z,K(v5,v6)) = w. [para(10584(a,1),15592(a,1))]. given #14204 (H,wt=16): 15663 a(x,y,K(z,u)) != w | a(u,x,K(v5,v6)) = w. [para(10639(a,2),15592(a,1))]. given #14205 (H,wt=16): 15664 a(x,y,K(z,u)) != w | a(y,z,K(v5,v6)) = w. [para(10642(a,1),15592(a,1))]. given #14206 (H,wt=16): 15665 a(x,y,K(z,u)) != w | a(z,x,K(v5,v6)) = w. [para(10642(a,2),15592(a,1))]. given #14207 (H,wt=16): 15666 a(x,y,K(z,u)) != w | a(x,z,K(v5,v6)) = w. [para(10645(a,1),15592(a,1))]. given #14208 (H,wt=16): 15667 a(x,y,K(z,u)) != w | a(x,u,K(v5,v6)) = w. [para(10645(a,2),15592(a,1))]. given #14209 (H,wt=17): 15577 a(x,y,z \ (K(u,w) * v5)) = a(x,y,z \ v5). [para(10867(a,1),15566(a,1,3))]. given #14210 (H,wt=17): 15579 a(x,y,a(z,u * w,u)) = a(x,y,a(z,w,u)). [para(15232(a,1),15567(a,1,3))]. given #14211 (H,wt=17): 15684 a(x,y,(z * u) \ w) = a(x,y,(u * z) \ w). [para(9538(a,1),15577(a,1,3))]. given #14212 (H,wt=18): 15650 a(x,y \ z,K(y,u)) != w | a(x,z,K(v5,v6)) = w. [para(8255(a,2),15592(a,1))]. given #14213 (H,wt=18): 15655 K(x,x * a(y,z,u)) != w | a(y,z,K(v5,v6)) = w. [para(9448(a,2),15592(a,1))]. given #14214 (H,wt=18): 15661 a(x,y,K(z,u \ 1)) != w | a(u,y,K(v5,v6)) = w. [para(10581(a,2),15592(a,1))]. given #14215 (H,wt=18): 15668 a(x,y,K(z,z \ u)) != w | a(y,u,K(v5,v6)) = w. [para(10643(a,2),15592(a,1))]. given #14216 (H,wt=18): 15669 a(x,y,K(z,y \ u)) != w | a(x,u,K(v5,v6)) = w. [para(10653(a,2),15592(a,1))]. given #14217 (H,wt=18): 15670 a(x / y,z,K(y,u)) != w | a(z,x,K(v5,v6)) = w. [para(10664(a,2),15592(a,1))]. given #14218 (H,wt=18): 15671 a(x * y,z,K(x,u)) != w | a(z,y,K(v5,v6)) = w. [para(10667(a,2),15592(a,1))]. given #14219 (H,wt=18): 15672 a(x,y,K(z,y * u)) != w | a(z,u,K(v5,v6)) = w. [para(10668(a,2),15592(a,1))]. given #14220 (H,wt=19): 15683 a(x,y,z \ (u * T(w,v5))) = a(x,y,z \ (u * w)). [para(4502(a,1),15577(a,1,3,2))]. given #14221 (H,wt=19): 15685 a(x,y,z * (u \ (w \ 1))) = a(x,y,(u * w) \ z). [hyper(272,a,15128,a,b,15684,a)]. given #14222 (H,wt=19): 15686 a(x,y,z \ (T(u,w) * v5)) = a(x,y,z \ (v5 * u)). [hyper(58,a,15569,a,b,15683,a)]. given #14223 (H,wt=19): 15689 a(x,y,z \ ((u \ 1) * w)) = a(x,y,z \ (u \ w)). [para(676(a,1),15686(a,1,3,2)),flip(a)]. given #14224 (H,wt=20): 15562 a(x,y,z * (K(u,w) * v5)) != v6 | a(x,y,z * v5) = v6. [para(15551(a,2),1204(a,1))]. given #14225 (H,wt=20): 15591 a(x,y,L(T(z,u),w,v5)) != v6 | a(x,y,L(z,w,v5)) = v6. [para(15164(a,1),15588(a,1,3))]. given #14226 (H,wt=20): 15678 a(x,y \ z,K(u,w)) != v5 | a(x,z / y,K(v6,v7)) = v5. [para(12175(a,1),15592(a,1))]. given #14227 (H,wt=20): 15691 a(x,y,z * (u / w)) != v5 | a(x,y,z * (w \ u)) = v5. [para(2827(a,1),15562(a,1,3,2))]. given #14228 (H,wt=21): 15554 x * L(x \ 1,y \ (z \ u),w) = a(x,w,y \ (u / z)). [hyper(114,a,15546,a(flip),b,1184,a(flip))]. given #14229 (H,wt=20): 15693 a(x,y,z \ (u / w)) != v5 | a(x,y,z \ (w \ u)) = v5. [para(15554(a,1),1204(a,1))]. given #14230 (H,wt=21): 15572 a(x,y,L(z * T(u,w),v5,v6)) = a(x,y,L(z * u,v5,v6)). [para(15157(a,1),15564(a,1,3))]. given #14231 (H,wt=21): 15578 a(x,y,L(T(z,u) \ w,v5,v6)) = a(x,y,L(z \ w,v5,v6)). [para(15165(a,1),15566(a,1,3)),flip(a)]. given #14232 (H,wt=21): 15580 a(x,y,z * ((u \ w) \ v5)) = a(x,y,z * (v5 * (w \ u))). [hyper(9310,a,15565,a),flip(a)]. given #14233 (H,wt=19): 15698 a(x,y,z * ((u \ 1) \ w)) = a(x,y,z * (w * u)). [para(60(a,1),15580(a,2,3,2,2))]. given #14234 (H,wt=21): 15687 a(x,y,z \ (u * (z * w))) = a(x,y,z * ((z \ u) * w)). [hyper(58,a,14970,a(flip),b,15683,a),flip(a)]. given #14235 (H,wt=21): 15694 a(x \ 1,y,z \ (x \ u)) = a(x \ 1,y,x \ (z \ u)). [hyper(15693,a,14967,a)]. given #14236 (H,wt=21): 15700 a(x \ 1,y,x \ (z \ u)) = a(y,z \ (x \ u),x \ 1). [hyper(13691,a,15694,a),flip(a)]. given #14237 (H,wt=19): 15701 a(x \ 1,y,x \ (z \ u)) = a(x,y,(x \ u) \ z). [hyper(272,a,13645,a(flip),b,15700,a),flip(a)]. given #14238 (H,wt=19): 15702 a(x \ 1,y,x \ (z \ u)) = a(x,y,z * (u \ x)). [hyper(272,a,14968,a(flip),b,15701,a),flip(a)]. given #14239 (H,wt=19): 15703 a(x,y \ (z \ u),y \ 1) = a(y,x,z * (u \ y)). [hyper(13691,a,15702,a)]. given #14240 (H,wt=17): 15704 a(x,y,(z \ u) \ x) = a(x,y,z * (u \ x)). [hyper(13726,a,15703,a)]. given #14241 (H,wt=19): 15705 x \ L(x,y,y * (z \ u)) = a(y,x,z * (u \ y)). [hyper(58,a,14993,a,b,15704,a)]. given #14242 (H,wt=17): 15706 L(x,y,(y * z) \ u) = L(x,y,y * (z \ u)). [hyper(33,a,14987,a,b,15705,a)]. given #14243 (H,wt=19): 15707 a(x,y,x * (z \ u)) \ y = L(y,x,(x * z) \ u). [hyper(272,a,13662,a(flip),b,15706,a)]. given #14244 (H,wt=17): 15708 a(x,y,(x * z) \ u) = a(x,y,x * (z \ u)). [hyper(34,a,13662,a(flip),b,15707,a)]. given #14245 (H,wt=22): 15589 a(x,y,K(z,u) * w) != v5 | a(x,K(v6 \ 1,v6) * y,w) = v5. [para(2599(a,1),15588(a,1))]. given #14246 (H,wt=22): 15647 K(x,y) * K(y,L(x,z,u)) != w | a(u,x * z,K(v5,v6)) = w. [para(7934(a,2),15592(a,1))]. given #14247 (H,wt=22): 15674 a(x,y,K(z,L(u,w,v5))) != v6 | a(y,L(z,w,v5),K(v7,v8)) = v6. [para(10656(a,1),15592(a,1))]. given #14248 (H,wt=22): 15696 a(x,y,((z / u) \ w) \ 1) != v5 | a(x,y,w \ (u \ z)) = v5. [para(10016(a,2),15693(a,1))]. given #14249 (H,wt=23): 15688 a(x,y,z * ((z * u) \ (w \ 1))) = a(x,y,(z * w) \ (u \ z)). [hyper(15523,a,15685,a)]. given #14250 (H,wt=23): 15697 a(x,y,L(z * (u / w),v5,v6)) = a(x,y,L(z * (w \ u),v5,v6)). [para(100(a,1),15572(a,1,3,1,2)),flip(a)]. given #14251 (H,wt=23): 15709 x \ L(x,y,z * ((z \ u) * w)) = a(y,x,(z * u) \ (w \ z)). [hyper(58,a,15496,a(flip),b,15688,a)]. given #14252 (H,wt=21): 15710 L(x,y,(z \ u) * (z * w)) = L(x,y,z * ((z \ w) * u)). [hyper(33,a,12439,a,b,15709,a)]. given #14253 (H,wt=21): 15711 L(x,y,z * ((z \ u) * (w \ z))) = L(x,y,w \ (z * u)). [hyper(58,a,15410,a(flip),b,15710,a),flip(a)]. given #14254 (H,wt=21): 15712 L(x,y,z * ((z \ u) \ (z \ w))) = L(x,y,u \ (z * w)). [hyper(15506,a,15711,a)]. given #14255 (H,wt=21): 15713 L(x,y,(z * u) \ (z * w)) = L(x,y,z * (u \ (z \ w))). [para(4(a,1),15712(a,1,3,2,1)),flip(a)]. given #14256 (H,wt=21): 15714 L(x,y,(z * u) \ (z * w)) = L(x,y,z \ (w * (u \ z))). [hyper(272,a,15500,a,b,15713,a),flip(a)]. given #14257 (H,wt=20): 15715 L(x,y,z \ (u * ((w * u) \ z))) = R(x,L(w,u,z),y). [hyper(58,a,14894,a(flip),b,15714,a),flip(a)]. given #14258 (H,wt=24): 15556 L(x,y \ ((1 / z) / u),w) != v5 | L(x,y \ (z \ (u \ 1)),w) = v5. [para(9224(a,1),15548(a,1))]. given #14259 (H,wt=24): 15716 L(x,y \ ((z * u) \ 1),w) != v5 | L(x,y \ (u \ (z \ 1)),w) = v5. [para(10022(a,1),15556(a,1))]. given #14260 (H,wt=25): 15560 T(x,y * T(y,K(z,u))) != w | L(x,y * K(z,u),y * K(z,u)) = w. [para(6466(a,1),15558(a,1,2))]. given #14261 (H,wt=25): 15583 a(x,y,L(T(z,u \ 1) \ u,w,v5)) = a(x,y,L((z \ 1) * u,w,v5)). [para(4341(a,1),15570(a,1,3,1))]. given #14262 (H,wt=21): 15717 a(x,y,L((z \ 1) * u,w,v5)) = a(x,y,L(z \ u,w,v5)). [hyper(58,a,15578,a(flip),b,15583,a),flip(a)]. given #14263 (H,wt=26): 15675 a(x,L(y \ 1,z,u),K(w,v5)) != v6 | a(x,a(y,u,z) \ y,K(v7,v8)) = v6. [para(10845(a,2),15592(a,1))]. given #14264 (H,wt=26): 15690 a(x,y,((z \ 1) * u) \ (z \ (w * u))) = a(x,y,L(T(w,u),u,z \ 1)). [para(211(a,1),15689(a,1,3)),flip(a)]. given #14265 (H,wt=27): 15581 a(x,y,z * ((u \ 1) \ (w \ (u \ v5)))) = a(x,y,z * ((u * w) \ (v5 * u))). [para(1171(a,1),15565(a,1,3,2)),flip(a)]. given #14266 (H,wt=25): 15720 a(x,y,z * ((u * w) \ (v5 * u))) = a(x,y,z * ((w \ (u \ v5)) * u)). [hyper(58,a,15698,a(flip),b,15581,a),flip(a)]. given #14267 (H,wt=27): 15582 a(x,y,z * ((K(u,w) * v5) / (u * v6))) = a(x,y,z * ((T(u,w) * v6) \ v5)). [para(14752(a,1),15565(a,2,3,2))]. given #14268 (H,wt=27): 15676 a(x,y,K(z,u / (w * v5))) != v6 | a(y,L((u / v5) / w,w,v5),K(v7,v8)) = v6. [para(10649(a,1),15592(a,1))]. given #14269 (H,wt=27): 15719 a(x,y,((z \ 1) * u) \ (z \ (w * u))) != v5 | a(x,y,L(w,u,z \ 1)) = v5. [para(15690(a,2),15591(a,1))]. given #14270 (H,wt=25): 15722 a(x,y,(z \ (u * w)) * (w \ z)) != v5 | a(x,y,L(u,w,z \ 1)) = v5. [para(15129(a,1),15719(a,1))]. given #14271 (H,wt=27): 15721 a(x,y,z * (K(u,w) * (v5 / (u * v6)))) = a(x,y,z * ((T(u,w) * v6) \ v5)). [para(14371(a,1),15582(a,1,3,2))]. given #14272 (H,wt=23): 15723 a(x,y,z * ((T(u,w) * v5) \ v6)) = a(x,y,z * (v6 / (u * v5))). [hyper(15562,a,15721,a),flip(a)]. given #14273 (H,wt=23): 15725 a(x,y,z * ((T(u,w) * v5) \ v6)) = a(x,y,z * ((u * v5) \ v6)). [hyper(272,a,15565,a(flip),b,15723,a),flip(a)]. given #14274 (H,wt=21): 15726 a(x,y,z * ((u * w) \ v5)) = a(x,y,z * ((w * u) \ v5)). [para(2778(a,1),15725(a,1,3,2,1))]. given #14275 (H,wt=21): 15727 a(x,y,(z \ u) * (w \ z)) = a(x,y,z * ((w * z) \ u)). [hyper(15525,a,15726,a)]. given #14276 (H,wt=22): 15728 a(x,y,z * ((u * z) \ (w * u))) = a(x,y,L(w,u,z \ 1)). [hyper(15722,a,15727,a),flip(a)]. given #14277 (H,wt=22): 15729 a(x,y,z * ((z \ (u \ w)) * u)) = a(x,y,L(w,u,z \ 1)). [hyper(58,a,15720,a(flip),b,15728,a)]. given #14278 (H,wt=28): 15680 a(x,a(y,z,u) \ w,K(y,v5)) != v6 | a(x,T(1 / w,L(y,z,u)),K(v7,v8)) = v6. [para(13167(a,1),15592(a,1))]. given #14279 (H,wt=29): 14957 (x * a(y,z,u)) * w != v5 * T(x * a(y,z,u),x) | T(v5,x * a(y,z,u)) = w. [para(14799(a,2),216(a,2))]. given #14280 (H,wt=29): 15171 ((x \ y) * z) \ ((T(y / x,x) * u) * w) = ((y / x) * z) \ (((y / x) * u) * w). [para(100(a,1),14900(a,1,1,1))]. given #14281 (H,wt=27): 15730 ((x / y) * z) \ (((x / y) * u) * w) = ((y \ x) * z) \ (((y \ x) * u) * w). [para(100(a,1),15171(a,1,2,1,1)),flip(a)]. given #14282 (H,wt=29): 15476 L(x,y,(((1 / z) * u) \ w) * (1 / z)) = L(x,y,(u \ (1 / z)) * T(w * z,z)). [para(2773(a,2),15474(a,2,3,2))]. given #14283 (H,wt=27): 15731 L(x,y,(z \ (1 / u)) * T(w * u,u)) = L(x,y,u \ (((1 / u) * z) \ w)). [hyper(14871,a,15476,a),flip(a)]. given #14284 (H,wt=25): 15732 L(x,y,(z \ (1 / u)) * T(w * u,u)) = L(x,y,u \ (w * (z \ u))). [hyper(272,a,15499,a(flip),b,15731,a),flip(a)]. given #14285 (H,wt=23): 15733 L(x,y,(z \ (1 / u)) * (w * u)) = L(x,y,u \ (w * (z \ u))). [hyper(15315,a,15732,a)]. given #14286 (H,wt=21): 15734 L(x,y,(z * u) \ (w * u)) = L(x,y,u \ (w * (z \ u))). [hyper(15469,a,15733,a)]. given #14287 (H,wt=20): 15736 L(x,y,z \ (u * ((w * u) \ z))) = R(x,R(w,u,z),y). [hyper(58,a,14931,a(flip),b,15734,a),flip(a)]. given #14288 (H,wt=15): 15737 R(x,R(y,z,u),w) = R(x,L(y,z,u),w). [hyper(58,a,15715,a(flip),b,15736,a),flip(a)]. given #14289 (H,wt=17): 15739 x \ R(x,R(y,z,u),w) = a(w,x,L(y,z,u)). [hyper(112,a,15737,a,b,13629,a(flip))]. given #14290 (H,wt=15): 15740 a(x,y,R(z,u,w)) = a(x,y,L(z,u,w)). [hyper(13639,a,15739,a)]. given #14291 (H,wt=15): 15741 a(x,R(y,z,u),w) = a(w,x,L(y,z,u)). [hyper(12990,a,15739,a)]. given #14292 (H,wt=15): 15744 a(x,y,L(L(z,u,w),w,u)) = a(x,y,z). [para(13755(a,1),15740(a,1,3)),flip(a)]. given #14293 (H,wt=12): 15746 a(x,y,L(z,y,u)) = a(x,y,z). [hyper(58,a,12537,a(flip),b,15744,a)]. given #14294 (H,wt=15): 15745 a(x,R(y,z,u),w) = a(x,L(y,z,u),w). [hyper(272,a,13641,a,b,15741,a),flip(a)]. given #14295 (H,wt=17): 15747 a(x,y,z) \ L(z,y,u) = L(L(z,y,u),y,x). [para(15746(a,1),12338(a,2,1)),flip(a)]. given #14296 (H,wt=17): 15748 a(x,L(y,z,u),w) \ w = L(w,R(y,z,u),x). [para(15745(a,1),12338(a,2,1)),flip(a)]. given #14297 (H,wt=15): 15751 L(x,R(y,z,u),w) = L(x,L(y,z,u),w). [hyper(12351,a,15748,a),flip(a)]. given #14298 (H,wt=17): 15750 a(x,y,z) \ L(y,x,u) = L(L(y,x,u),x,z). [hyper(58,a,13658,a,b,15747,a)]. given #14299 (H,wt=19): 15752 x * (y \ L(L(y,z,x),u,x)) = L(L(x,y,u),y,z). [hyper(58,a,15221,a,b,15750,a)]. given #14300 (H,wt=19): 15753 x \ L(L(x,y,z),u,z) = z \ L(L(z,x,y),x,u). [hyper(112,a,25,a,b,15752,a),flip(a)]. given #14301 (H,wt=16): 15754 x \ L(L(x,x,y),z,y) = a(y,z \ x,x). [hyper(272,a,15244,a(flip),b,15753,a),flip(a)]. given #14302 (H,wt=14): 15756 L(L(x,x,y),z,y) = L(x,x * z,y). [hyper(33,a,14994,a,b,15754,a),flip(a)]. given #14303 (H,wt=16): 15755 x \ L(L(x,x,y),z,y) = a(x,y,z \ x). [hyper(272,a,13641,a(flip),b,15754,a),flip(a)]. given #14304 (H,wt=20): 15743 a(x,y,L(z,u,L(z,y,x) * w)) = L(a(x,y,z),u,w). [hyper(58,a,15531,a(flip),b,15740,a),flip(a)]. given #14305 (H,wt=17): 15759 L(a(x,y,z),u,u \ w) = a(x,y,L(z,u,w)). [hyper(58,a,15518,a(flip),b,15743,a),flip(a)]. given #14306 (H,wt=15): 15760 a(x,y,L(z,u,w)) = L(a(x,y,z),u,w). [hyper(58,a,15206,a(flip),b,15759,a),flip(a)]. given #14307 (H,wt=15): 15761 a(x,L(y,z,u),w) = L(a(w,x,y),z,u). [hyper(13691,a,15760,a)]. given #14308 (H,wt=15): 15762 a(x,y,L(z,u,w)) = R(a(x,y,z),u,w). [hyper(272,a,15183,a,b,15760,a),flip(a)]. given #14309 (H,wt=15): 15765 L(a(x,y,L(z,u,w)),w,u) = a(x,y,z). [hyper(58,a,15744,a(flip),b,15760,a),flip(a)]. given #14310 (H,wt=15): 15768 a(x,L(y,z,u),w) = L(a(x,y,w),z,u). [para(13641(a,2),15761(a,2,1))]. given #14311 (H,wt=15): 15771 a(x,L(y,z,u),w) = a(x,y,L(w,z,u)). [hyper(272,a,15760,a,b,15768,a),flip(a)]. given #14312 (H,wt=12): 15773 L(x,a(y,z,L(u,w,v5)),u) = x. [para(15771(a,1),12552(a,1,2))]. given #14313 (H,wt=12): 15776 L(x,a(y,z,u),L(u,w,v5)) = x. [para(15744(a,1),15773(a,1,2))]. given #14314 (H,wt=12): 15777 L(x,a(y,z,u),L(y,w,v5)) = x. [para(13641(a,1),15776(a,1,2))]. given #14315 (H,wt=17): 15772 x * a(x,y,L(z,u,w)) = R(x,L(y,u,w),z). [hyper(114,a,15771,a(flip),b,12967,a(flip))]. given #14316 (H,wt=15): 15779 R(x,L(y,z,u),w) = R(x,y,L(w,z,u)). [hyper(12985,a,15772,a),flip(a)]. given #14317 (H,wt=15): 15780 R(x,R(y,z,u),w) = R(x,y,L(w,z,u)). [hyper(58,a,15737,a,b,15779,a)]. given #14318 (H,wt=17): 15774 a(x,y,L(z,u,w)) \ x = L(x,z,L(y,u,w)). [para(15771(a,1),13661(a,2,1)),flip(a)]. given #14319 (H,wt=15): 15783 L(x,L(y,z,u),w) = L(x,y,L(w,z,u)). [hyper(13663,a,15774,a)]. given #14320 (H,wt=15): 15784 L(x,R(y,z,u),w) = L(x,y,L(w,z,u)). [hyper(58,a,15751,a,b,15783,a)]. given #14321 (H,wt=18): 15769 L(a(x,y,z),u,w) != v5 | a(x,y,L(z,u,w)) = v5. [para(15761(a,1),13693(a,1))]. given #14322 (H,wt=15): 15785 a(x,x,y) != z | a(x,x,L(y,u,w)) = z. [para(8341(a,1),15769(a,1))]. given #14323 (H,wt=18): 15786 a(x,L(y,z,u),w) != v5 | a(x,y,L(w,z,u)) = v5. [para(15768(a,2),15769(a,1))]. given #14324 (H,wt=20): 15757 L(L(x,x,y),z,L(y,u,w)) = L(x,x * z,L(y,u,w)). [para(10384(a,1),15756(a,1,1))]. given #14325 (H,wt=20): 15764 (x * y) * a(z,u,L(w,y,x)) = x * (y * a(z,u,w)). [hyper(114,a,15760,a,b,13,a(flip))]. given #14326 (H,wt=20): 15767 a(x,y,L(z,u,w)) \ (w * u) = w * (a(x,y,z) \ u). [para(15760(a,2),15224(a,1,1))]. given #14327 (H,wt=16): 15789 K(x,y * (a(z,u,w) \ v5)) = K(x,y * v5). [para(15767(a,1),15066(a,1,2))]. given #14328 (H,wt=16): 15790 K(x,(y \ a(z,u,w)) * v5) = K(x,y \ v5). [hyper(58,a,14850,a(flip),b,15789,a),flip(a)]. given #14329 (H,wt=16): 15794 K(x,y \ (a(z,u,w) * v5)) = K(x,y \ v5). [hyper(58,a,14812,a,b,15790,a)]. given #14330 (H,wt=21): 15738 L(x,y,a(z,u \ 1,w) \ z) = R(x,L(z \ 1,u,w),y). [hyper(15152,a,15737,a)]. given #14331 (H,wt=19): 15796 R(x,L(y \ 1,z,u),w) = L(x,w,L(y,u,z \ 1)). [para(13661(a,2),15738(a,1,3)),flip(a)]. given #14332 (H,wt=17): 15797 R(x,L(y \ 1,z,u),w) = L(x,w,R(y,z,u)). [para(13628(a,2),15796(a,2,3))]. given #14333 (H,wt=17): 15798 L(x,y,a(z,u,w) \ z) = L(x,y,R(z,w,u)). [hyper(14945,a,15797,a)]. given #14334 (H,wt=15): 15799 L(x,y,R(z,u,w)) = L(x,y,L(z,u,w)). [para(13661(a,2),15798(a,1,3)),flip(a)]. given #14335 (H,wt=21): 15749 a(x * (y \ x),x,z) \ L(z,x,u) = R(L(z,x,u),y,x). [hyper(272,a,14998,a,b,15747,a),flip(a)]. given #14336 (H,wt=21): 15795 K(a(x,y,z) \ u,w \ (a(v5,v6,v7) * v8)) = K(u,w \ v8). [hyper(272,a,15075,a(flip),b,15794,a),flip(a)]. given #14337 (H,wt=21): 15801 a(x * (y \ x),x,z) \ L(z,x,u) = L(R(z,y,x),x,u). [hyper(272,a,24,a(flip),b,15749,a),flip(a)]. given #14338 (H,wt=21): 15803 a(x,y * (z \ y),y) \ L(x,y,u) = L(R(x,z,y),y,u). [hyper(58,a,13658,a(flip),b,15801,a)]. given #14339 (H,wt=19): 15804 a(x,y,z \ 1) \ L(x,z,u) = L(R(x,y,z),z,u). [para(13775(a,1),15803(a,1,1))]. given #14340 (H,wt=17): 15805 a(x,y,z) * L(x,z,u) = L(R(x,y,z),z,u). [hyper(58,a,13669,a(flip),b,15804,a)]. given #14341 (H,wt=19): 15806 x * (y \ L(R(y,x,z),u,x)) = L(R(x,z,y),y,u). [hyper(58,a,15214,a,b,15805,a)]. given #14342 (H,wt=22): 15763 a(x,y,z) \ a(u,a(x,y,z),w) = a(y,z,L(x \ 1,u,w)). [hyper(272,a,13830,a,b,15760,a)]. given #14343 (H,wt=22): 15770 a(x,y,L(z,u,w)) \ R(x,y,z) = a(u,a(x,y,z),w) * x. [para(15762(a,2),15203(a,1,1))]. given #14344 (H,wt=22): 15787 (x * y) \ a(z,u,L(w,y,x)) = (x * (a(z,u,w) \ y)) \ 1. [para(15767(a,1),10262(a,1,1)),flip(a)]. given #14345 (H,wt=22): 15807 a(x,y,z) \ a(u,a(x,y,z),w) = a(y,z,L(x,u,w) \ 1). [para(13699(a,1),15763(a,2,3))]. given #14346 (H,wt=22): 15808 a(x,y,z) * L(x,L(z,u,w),y) = a(u,a(x,y,z),w) * x. [hyper(58,a,14919,a(flip),b,15770,a)]. given #14347 (H,wt=20): 15810 a(x,y,L(z,u,w)) \ a(x,y,z) = a(u,a(x,y,z),w). [hyper(14855,a,15808,a)]. given #14348 (H,wt=23): 15775 a(x,L(y \ z,u,w),v5) \ v6 = v6 * a(x,z \ y,L(v5,u,w)). [para(15771(a,2),14849(a,1,1))]. given #14349 (H,wt=23): 15778 L(x,y,z) \ ((L(x,y,z) / a(x,u,w)) * v5) = a(x,u,w) \ v5. [hyper(58,a,15245,a(flip),b,15777,a)]. given #14350 (H,wt=23): 15788 a(x,y,z) \ (u * a(z,w,v5)) = u * (a(x,y,z) \ a(z,w,v5)). [para(12950(a,1),15767(a,1,1,3))]. given #14351 (H,wt=23): 15802 (a(x,y,z) \ u) * (w / (a(x,y,z) \ u)) = w * K(u,u \ w). [para(15795(a,1),14817(a,1,2)),flip(a)]. given #14352 (H,wt=21): 15815 (a(x,y,z) \ u) \ (u * (w / u)) = w / (a(x,y,z) \ u). [hyper(112,a,2985,a(flip),b,15802,a)]. given #14353 (H,wt=23): 15811 a(x,y,L(z \ u,w,v5)) \ v6 = v6 * a(y,u \ z,L(x,w,v5)). [hyper(58,a,13658,a(flip),b,15775,a)]. given #14354 (H,wt=23): 15812 L(x,y,z) \ ((a(x,u,w) \ L(x,y,z)) * v5) = a(x,u,w) \ v5. [para(14340(a,1),15778(a,1,2,1))]. given #14355 (H,wt=23): 15813 L(x,y,z) * (L(x,u,w) \ v5) = v5 * (a(z,y,x) \ a(x,w,u)). [hyper(58,a,15170,a(flip),b,15788,a)]. given #14356 (H,wt=23): 15814 (x / L(y,z,u)) * L(y,w,v5) = x * (a(v5,w,y) \ a(y,u,z)). [hyper(58,a,14832,a(flip),b,15788,a)]. given #14357 (H,wt=23): 15817 a(x,L(y,z,u),w \ v5) \ v6 = v6 * a(y,v5 \ w,L(x,z,u)). [para(15771(a,2),15811(a,1,1))]. given #14358 (H,wt=21): 15821 a(x,L(y,z,u),w \ 1) \ v5 = v5 * a(y,w,L(x,z,u)). [para(60(a,1),15817(a,2,2,2))]. given #14359 (H,wt=21): 15822 a(x,L(y,z,u) \ 1,w) \ v5 = v5 * a(y,w,L(x,z,u)). [para(13643(a,2),15821(a,1,1))]. given #14360 (H,wt=21): 15823 a(x,y,L(z,u,w) \ 1) \ v5 = v5 * a(z,x,L(y,u,w)). [hyper(58,a,13658,a(flip),b,15822,a)]. given #14361 (H,wt=23): 15818 L(x,y,z) * (a(x,u,w) \ (L(x,y,z) \ v5)) = a(x,u,w) \ v5. [hyper(58,a,15516,a(flip),b,15812,a)]. given #14362 (H,wt=23): 15820 (x / L(y,z,u)) * L(y,w,v5) = x * (a(y,v5,w) \ a(y,u,z)). [para(13641(a,1),15814(a,2,2,1))]. given #14363 (H,wt=24): 15816 (a(x,y,z) \ u) * (w / (a(x,y,z) \ u)) != v5 | u * (w / u) = v5. [para(15815(a,1),230(a,1,2))]. given #14364 (H,wt=24): 15825 (x \ a(y,z,u)) * (w * (a(y,z,u) \ x)) != v5 | x * (w / x) = v5. [para(10299(a,1),15816(a,1))]. given #14365 (H,wt=25): 15809 (x * (a(y,z,u) \ w)) \ 1 != (x * w) \ v5 | a(y,z,L(u,w,x)) = v5. [para(15787(a,1),42(a,1))]. given #14366 (H,wt=25): 15819 (x * (a(y,z,u) \ a(u,w,v5))) \ 1 = (x * a(u,w,v5)) \ a(u,y,z). [para(15813(a,1),15222(a,1,1))]. given #14367 (H,wt=25): 15826 (x * (a(y,z,u) \ a(y,w,v5))) \ 1 = (x * a(y,w,v5)) \ a(y,z,u). [para(13641(a,1),15819(a,1,1,2,1))]. given #14368 (H,wt=15): 15827 a(x,y,L(z,a(x,u,w),v5)) = a(x,y,z). [hyper(15809,a,15826,a)]. given #14369 (H,wt=23): 15828 (x * a(y,z,u)) * a(y,w,v5) = x * (a(y,z,u) * a(y,w,v5)). [para(15827(a,1),15764(a,1,2))]. given #14370 (H,wt=12): 15829 L(x,a(y,z,u),a(y,w,v5)) = x. [hyper(13772,a,15828,a),flip(a)]. given #14371 (H,wt=23): 15831 a(x,y,z) \ (u * (a(x,w,v5) * a(x,y,z))) = u * a(x,w,v5). [hyper(112,a,15828,a(flip),b,14356,a)]. given #14372 (H,wt=23): 15834 (a(x,y,z) * u) * a(x,w,v5) = a(x,y,z) * (u * a(x,w,v5)). [para(15829(a,1),13794(a,1,1,2))]. given #14373 (H,wt=23): 15835 a(x,y,z) \ (u * a(x,w,v5)) = (a(x,y,z) \ u) * a(x,w,v5). [hyper(796,a,15834,a)]. given #14374 (H,wt=23): 15836 (a(x,y,z) \ u) * a(x,w,v5) = L(x,z,y) * (L(x,v5,w) \ u). [hyper(58,a,15219,a(flip),b,15835,a),flip(a)]. given #14375 (H,wt=26): 15758 a(x,y,T(x,z) * (R(z,u,w) \ 1)) = x \ L(L(x,x,y),R(z,u,w),y). [para(14531(a,2),15755(a,2,3)),flip(a)]. given #14376 (H,wt=26): 15782 R(x,y,L(z * u,z,u)) * ((y * z) * u) = (x * R(y,z,u)) * (z * u). [para(15780(a,1),458(a,1,1))]. given #14377 (H,wt=23): 15838 R(x,y,z * u) * ((y * z) * u) = (x * R(y,z,u)) * (z * u). [para(13930(a,1),15782(a,1,1))]. given #14378 (H,wt=26): 15837 a(x,y,T(x,z) * (R(z,u,w) \ 1)) = x \ L(L(x,x,y),z,L(y,u,w)). [para(15784(a,1),15758(a,2,2))]. given #14379 (H,wt=25): 15839 a(x,y,T(x,z) * (R(z,u,w) \ 1)) = x \ L(x,x * z,L(y,u,w)). [para(15757(a,1),15837(a,2,2))]. given #14380 (H,wt=23): 15840 a(x,y,T(x,z) * (R(z,u,w) \ 1)) = a(L(y,u,w),z \ x,x). [hyper(272,a,14994,a(flip),b,15839,a),flip(a)]. given #14381 (H,wt=23): 15841 a(x,y,T(x,z) * (R(z,u,w) \ 1)) = a(x,L(y,u,w),z \ x). [hyper(272,a,13641,a(flip),b,15840,a),flip(a)]. given #14382 (H,wt=23): 15842 a(x,y,T(x,z) * (R(z,u,w) \ 1)) = a(x,y,L(z \ x,u,w)). [hyper(272,a,15771,a(flip),b,15841,a),flip(a)]. given #14383 (H,wt=19): 15843 a(x,y,L(z \ x,u,w)) = a(x,y,R(z,u,w) \ x). [para(14531(a,1),15842(a,1,3)),flip(a)]. given #14384 (H,wt=29): 15487 L(x,y,a(z,u,(w \ v5) \ v6) \ (v6 * (v5 \ w))) = L(x,y,L((w \ v5) \ v6,u,z)). [para(12338(a,2),15486(a,1,3)),flip(a)]. given #14385 (H,wt=29): 15844 L(x,y,a(z,u,w * (v5 \ v6)) \ (w * (v5 \ v6))) = L(x,y,L((v6 \ v5) \ w,u,z)). [para(14968(a,1),15487(a,1,3,1))]. given #14386 (H,wt=23): 15845 L(x,y,L((z \ u) \ w,v5,v6)) = L(x,y,L(w * (u \ z),v5,v6)). [para(12338(a,2),15844(a,1,3)),flip(a)]. given #14387 (H,wt=21): 15846 L(x,y,L(z * (1 \ u),w,v5)) = L(x,y,L(u * z,w,v5)). [hyper(15022,a,15845,a),flip(a)]. given #14388 (H,wt=19): 15847 L(x,y,L(z * u,w,v5)) = L(x,y,L(u * z,w,v5)). [para(60(a,1),15846(a,1,3,1,2))]. given #14389 (H,wt=30): 14972 a(x,y,z \ (u * (((u \ w) * (z * u)) / u))) = a(x,y,L(w,u \ (u \ 1),z \ 1)). [para(7167(a,1),14961(a,1,3)),flip(a)]. given #14390 (H,wt=26): 15848 a(x,y,L(z,u \ (u \ 1),w \ 1)) = a(x,y,w \ ((u \ z) * (w * u))). [hyper(58,a,15571,a(flip),b,14972,a),flip(a)]. given #14391 (H,wt=26): 15850 a(x,y,L(z,u \ (u \ 1),w \ 1)) = a(x,y,w * ((w \ (u \ z)) * u)). [hyper(272,a,15687,a(flip),b,15848,a),flip(a)]. given #14392 (H,wt=23): 15851 a(x,y,L(z,u \ (u \ 1),w \ 1)) = a(x,y,L(z,u,w \ 1)). [hyper(272,a,15729,a(flip),b,15850,a),flip(a)]. given #14393 (H,wt=19): 15852 a(x,y,L(z,u * u,w)) = a(x,y,L(z,u,w \ 1)). [para(13745(a,1),15851(a,1,3))]. given #14394 (H,wt=17): 15853 a(x,y,L(z,u * u,w)) = a(x,y,R(z,w,u)). [para(13628(a,2),15852(a,2,3))]. given #14395 (H,wt=17): 15854 a(x,y,L(z,u * u,w)) = a(x,y,L(z,w,u)). [hyper(272,a,15740,a(flip),b,15853,a),flip(a)]. given #14396 (H,wt=17): 15855 a(x,y,L(z,u,w * w)) = a(x,y,L(z,w,u)). [para(14212(a,1),15854(a,1,3))]. given #14397 (H,wt=17): 15857 L(a(x,y,L(z,u,w)),u * u,w) = a(x,y,z). [para(15855(a,1),15765(a,1,1))]. given #14398 (H,wt=18): 15856 a(x,y,L(L(z,u,w),u,w)) = a(x,y,L(z,w,u)). [para(13896(a,2),15855(a,1,3))]. given #14399 (H,wt=30): 15061 ((a(x,y,z) \ u) \ T(w,a(x,y,z) \ u)) \ 1 = T(w \ (a(x,y,z) \ u),u \ 1). [hyper(58,a,4596,a,b,15034,a)]. given #14400 (H,wt=23): 15858 T(x \ (a(y,z,u) \ w),w \ 1) = (x * (w \ a(y,z,u))) \ 1. [para(10298(a,1),15061(a,1,1)),flip(a)]. given #14401 (H,wt=28): 15859 (x * (a(y,z,u) \ a(w,v5,v6))) \ 1 != v7 | x \ (a(w,v5,v6) \ a(y,z,u)) = v7. [para(15858(a,1),14487(a,1))]. given #14402 (H,wt=23): 15860 (x * a(y,z,u)) \ a(y,w,v5) = x \ (a(y,z,u) \ a(y,w,v5)). [hyper(15859,a,15826,a),flip(a)]. given #14403 (H,wt=30): 15151 T((1 / (a(x,y,z) * u)) \ (w / u),a(x,y,z) * u) = (a(x,y,z) * u) * (u \ w). [hyper(58,a,368,a,b,15149,a)]. given #14404 (H,wt=30): 15493 L(x,y,(T(z * (u \ 1),w) \ (u \ (w * z))) * v5) = L(x,y,R(w,z,u \ 1) * v5). [para(14820(a,2),15430(a,1,3,1)),flip(a)]. given #14405 (H,wt=28): 15862 L(x,y,(T(z * (u \ 1),w) \ (u \ (w * z))) * v5) = L(x,y,L(w,u,z) * v5). [para(13709(a,2),15493(a,2,3,1))]. given #14406 (H,wt=26): 15863 L(x,y,((z * (u \ 1)) \ (u \ (w * z))) * v5) = L(x,y,L(w,u,z) * v5). [hyper(15441,a,15862,a)]. given #14407 (H,wt=24): 15864 L(x,y,((z \ u) * (u \ (w * z))) * v5) = L(x,y,L(w,u,z) * v5). [hyper(15510,a,15863,a)]. given #14408 (H,wt=30): 15508 L(x,y,(((z \ 1) * u) \ (z \ (w * u))) * v5) = L(x,y,L(T(w,u),u,z \ 1) * v5). [para(211(a,1),15507(a,1,3,1)),flip(a)]. given #14409 (H,wt=28): 15866 L(x,y,(((z \ 1) * u) \ (z \ (w * u))) * v5) = L(x,y,R(T(w,u),z,u) * v5). [para(13628(a,2),15508(a,2,3,1))]. given #14410 (H,wt=26): 15867 L(x,y,(((z \ 1) * u) \ (z \ (w * u))) * v5) = L(x,y,R(w,z,u) * v5). [hyper(272,a,15296,a(flip),b,15866,a),flip(a)]. given #14411 (H,wt=24): 15868 L(x,y,((z \ u) * (u \ (w * z))) * v5) = L(x,y,R(w,u,z) * v5). [hyper(15511,a,15867,a)]. given #14412 (H,wt=19): 15870 L(x,y,R(z,u,w) * v5) = L(x,y,L(z,u,w) * v5). [hyper(58,a,15864,a(flip),b,15868,a),flip(a)]. given #14413 (H,wt=23): 15871 L(x,y,R(z,u,w) * (v5 \ (v5 / v6))) = L(x,y,v6 \ L(z,u,w)). [hyper(272,a,14698,a(flip),b,15870,a),flip(a)]. given #14414 (H,wt=19): 15873 L(x,y,z \ R(u,w,v5)) = L(x,y,z \ L(u,w,v5)). [hyper(15458,a,15871,a)]. given #14415 (H,wt=17): 15874 L(x,y,z \ L(z,u,w)) = L(x,y,a(z,u,w)). [para(12967(a,2),15873(a,1,3)),flip(a)]. given #14416 (H,wt=17): 15875 L(x,y,a(z \ 1,u,w)) = L(x,y,a(z,w,u)). [hyper(14870,a,15874,a)]. given #14417 (H,wt=17): 15876 a(a(x,y,z),u,w) \ u = L(u,w,a(z,y,x)). [hyper(58,a,15201,a(flip),b,15875,a)]. given #14418 (H,wt=15): 15877 a(a(x,y,z),u,w) = a(a(z,y,x),w,u). [hyper(34,a,12338,a(flip),b,15876,a)]. given #14419 (H,wt=17): 15878 a(a(x,y,z),u \ 1,w) = a(w,a(z,y,x),u). [hyper(15199,a,15877,a),flip(a)]. given #14420 (H,wt=15): 15879 a(x,a(y,z,u),w) = a(x,w,a(u,z,y)). [hyper(15205,a,15878,a),flip(a)]. given #14421 (H,wt=15): 15880 a(x,a(y,z,u),w) = a(x,w,a(y,u,z)). [para(13641(a,1),15879(a,1,2))]. given #14422 (H,wt=17): 15881 a(x,y,a(z,u * w,u)) = a(x,a(z,u,w),y). [hyper(272,a,15579,a,b,15880,a)]. given #14423 (H,wt=17): 15882 a(x,a(y,z \ u,u),w) = a(x,a(y,u,z),w). [hyper(58,a,15204,a,b,15881,a)]. given #14424 (H,wt=23): 15872 L(x,y,L(T(1 / z,u),w,v5) * v6) = L(x,y,R(z,w,v5) \ v6). [hyper(58,a,15519,a(flip),b,15870,a),flip(a)]. given #14425 (H,wt=21): 15883 L(x,y,L(1 / z,u,w) * v5) = L(x,y,R(z,u,w) \ v5). [hyper(15443,a,15872,a)]. given #14426 (H,wt=21): 15884 L(x,y,(1 / L(z,u,w)) * v5) = L(x,y,R(z,u,w) \ v5). [para(13701(a,1),15883(a,1,3,1))]. given #14427 (H,wt=19): 15885 L(x,y,R(z,u,w) \ v5) = L(x,y,L(z,u,w) \ v5). [hyper(14724,a,15884,a),flip(a)]. given #14428 (H,wt=21): 15886 x * a(y,x,z \ L(u,w,v5)) = L(x,y,R(u,w,v5) \ z). [hyper(272,a,12393,a,b,15885,a)]. given #14429 (H,wt=19): 15887 a(x,y,z \ R(u,w,v5)) = a(x,y,z \ L(u,w,v5)). [hyper(29,a,12393,a,b,15886,a)]. given #14430 (H,wt=21): 15888 a(x,y,(1 / z) \ L(u,w,v5)) = a(x,y,R(u,w,v5) * z). [hyper(58,a,14962,a(flip),b,15887,a),flip(a)]. given #14431 (H,wt=19): 15892 a(x,y,R(z,u,w) * v5) = a(x,y,L(z,u,w) * v5). [hyper(58,a,14962,a(flip),b,15888,a),flip(a)]. given #14432 (H,wt=21): 15889 a(x,y,(z * u) \ L(z,w,v5)) = a(x,y,u \ a(z,w,v5)). [hyper(58,a,14920,a(flip),b,15887,a),flip(a)]. given #14433 (H,wt=21): 15890 x * a(x,y,z \ L(u,w,v5)) = R(x,y,z \ R(u,w,v5)). [hyper(114,a,15887,a(flip),b,12967,a(flip))]. given #14434 (H,wt=19): 15895 R(x,y,z \ R(u,w,v5)) = R(x,y,z \ L(u,w,v5)). [hyper(12985,a,15890,a),flip(a)]. given #14435 (H,wt=19): 15896 R(x,y,z \ R(u,w,v5)) = L(x,L(u,w,v5) \ z,y). [hyper(272,a,13722,a(flip),b,15895,a),flip(a)]. given #14436 (H,wt=19): 15897 L(x,R(y,z,u) \ w,v5) = L(x,L(y,z,u) \ w,v5). [hyper(15557,a,15896,a)]. given #14437 (H,wt=21): 15893 a(x,y,L(x,z,u) * (w \ L(x,u,z))) = a(y,w,x \ 1). [hyper(58,a,15172,a(flip),b,15892,a),flip(a)]. given #14438 (H,wt=21): 15894 a(x,y,x * (z \ L(x,u,w))) = a(x,y,z \ a(x,u,w)). [hyper(58,a,15708,a(flip),b,15889,a)]. given #14439 (H,wt=21): 15898 L(x,L(y,z,u) \ w,v5) \ x = a(v5,R(y,z,u) \ w,x). [para(15897(a,1),12322(a,2,1)),flip(a)]. given #14440 (H,wt=19): 15901 a(x,R(y,z,u) \ w,v5) = a(x,L(y,z,u) \ w,v5). [hyper(12330,a,15898,a),flip(a)]. given #14441 (H,wt=23): 15902 a(x,L(y,z,u) \ (w \ y),v5) = a(x,w \ a(z,u,y \ 1),v5). [hyper(58,a,15436,a(flip),b,15901,a),flip(a)]. given #14442 (H,wt=21): 15903 a(x,y \ a(z,u,w \ 1),v5) = a(x,y \ a(u,z,w),v5). [hyper(58,a,15406,a(flip),b,15902,a),flip(a)]. given #14443 (H,wt=21): 15904 a(x,a(y,z,u) \ (w \ 1),v5) = a(x,w \ a(u,z,y),v5). [hyper(14908,a,15903,a)]. given #14444 (H,wt=21): 15905 a(x \ 1,y \ a(z,u,w),v5) = a(v5,x,y * a(w,u,z)). [hyper(15016,a,15904,a),flip(a)]. given #14445 (H,wt=19): 15906 a(x,y,a(z,u,w) \ v5) = a(x,y,v5 * a(w,u,z)). [hyper(15018,a,15905,a)]. given #14446 (H,wt=19): 15907 a(x,y,a(z,u,w) \ v5) = a(x,y,v5 * a(z,w,u)). [para(13641(a,1),15906(a,1,3,1))]. given #14447 (H,wt=24): 15900 a(x,y,x * (z \ L(x,u,w))) != v5 | a(y,z \ a(x,u,w),x) = v5. [para(15894(a,2),13691(a,1))]. given #14448 (H,wt=27): 15891 a(x,y,(1 / L(z,z,R(u,w,v5))) \ L(u,w,v5)) = a(x,y,z * R(u,w,v5)). [para(13795(a,1),15887(a,1,3)),flip(a)]. given #14449 (H,wt=27): 15908 a(x,y,(1 / L(z,z,L(u,w,v5))) \ L(u,w,v5)) = a(x,y,z * R(u,w,v5)). [para(15799(a,1),15891(a,1,3,1,2))]. given #14450 (H,wt=19): 15909 a(x,y,z * R(u,w,v5)) = a(x,y,z * L(u,w,v5)). [para(13795(a,1),15908(a,1,3)),flip(a)]. given #14451 (H,wt=29): 15899 (x \ K(y,z)) \ L(x \ K(y,z),L(u,w,v5) \ v6,v7) = a(x,v7,R(u,w,v5) \ v6). [para(15897(a,1),15162(a,1,2))]. given #14452 (H,wt=19): 15910 a(x,y,R(z,u,w) \ v5) = a(x,y,L(z,u,w) \ v5). [hyper(58,a,15162,a(flip),b,15899,a),flip(a)]. given #14453 (H,wt=19): 15911 a(x,y,L(z \ x,u,w)) = a(x,y,L(z,u,w) \ x). [hyper(58,a,15843,a,b,15910,a)]. given #14454 (H,wt=30): 15692 a(x,y,L(((z \ u) \ 1) * w,v5,v6)) != v7 | a(x,y,L(w * T(z / u,z),v5,v6)) = v7. [para(3346(a,1),15591(a,1,3,1))]. given #14455 (H,wt=25): 15912 a(x,y,L(z * T(u / w,u),v5,v6)) = a(x,y,L((u \ w) \ z,v5,v6)). [hyper(15692,a,15717,a)]. given #14456 (H,wt=23): 15913 a(x,y,L((z \ u) \ w,v5,v6)) = a(x,y,L(w * (z / u),v5,v6)). [hyper(58,a,15572,a(flip),b,15912,a),flip(a)]. given #14457 (H,wt=23): 15915 a(x,y,L((z \ u) \ w,v5,v6)) = a(x,y,L(w * (u \ z),v5,v6)). [hyper(272,a,15697,a(flip),b,15913,a),flip(a)]. given #14458 (H,wt=23): 15916 a(x,y,L(x * (z \ u),w,v5)) = a(x,y,L(u \ z,w,v5) \ x). [hyper(58,a,15911,a(flip),b,15915,a),flip(a)]. given #14459 (H,wt=23): 15917 a(x,y,L(x * (z \ u),w,v5)) = a(x,y,x * L(z \ u,w,v5)). [hyper(272,a,14990,a(flip),b,15916,a),flip(a)]. given #14460 (H,wt=25): 15918 L(a(x,y,x * L(z \ u,w,v5)),w * w,v5) = a(x,y,x * (z \ u)). [para(15917(a,1),15857(a,1,1))]. given #14461 (H,wt=25): 15919 a(x,y,L(x * L(z \ u,w,v5),w * w,v5)) = a(x,y,x * (z \ u)). [hyper(15769,a,15918,a)]. given #14462 (H,wt=23): 15920 a(x,y,L(x * L(z \ u,w,v5),v5,w)) = a(x,y,x * (z \ u)). [hyper(58,a,15854,a(flip),b,15919,a)]. given #14463 (H,wt=30): 15861 T((a(x,y,z) \ (1 / u)) \ (w / u),a(x,y,z) * u) = (a(x,y,z) * u) * (u \ w). [para(15093(a,1),15151(a,1,1,1))]. given #14464 (H,wt=28): 15921 T(((x * y) * a(z,u,w)) / x,a(z,u,w) * x) = (a(z,u,w) * x) * (x \ y). [para(15237(a,1),15861(a,1,1))]. given #14465 (H,wt=23): 15922 T(((x * y) * a(z,u,w)) / x,x) = (a(z,u,w) * x) * (x \ y). [hyper(58,a,15033,a(flip),b,15921,a)]. given #14466 (H,wt=21): 15923 x \ ((x * y) * a(z,u,w)) = (a(z,u,w) * x) * (x \ y). [hyper(581,a,15922,a)]. given #14467 (H,wt=21): 15925 (a(x,y,z) * u) * (u \ w) = u * ((a(x,y,z) \ u) \ w). [hyper(58,a,15258,a(flip),b,15923,a),flip(a)]. given #14468 (H,wt=21): 15926 (x * a(y,z,u)) * (x \ w) = x * ((a(y,z,u) \ x) \ w). [hyper(14418,a,15925,a)]. given #14469 (H,wt=21): 15927 x * ((a(y,z,u) \ x) \ (x * w)) = (x * a(y,z,u)) * w. [hyper(507,a,15926,a),flip(a)]. given #14470 (H,wt=21): 15928 (x * a(y,z,u)) * (w / x) = x * (w / (a(y,z,u) \ x)). [para(15815(a,1),15927(a,1,2)),flip(a)]. given #14471 (H,wt=21): 15929 (x \ y) * (a(z,u,w) * x) = x * (y / (a(z,u,w) \ x)). [hyper(58,a,15107,a,b,15928,a)]. given #14472 (H,wt=31): 15677 K(x,K(y,z) * ((u * (w * (K(y,z) * v5))) \ ((u * w) * v5))) != v6 | a(x,w,K(v7,v8)) = v6. [para(11646(a,2),15592(a,1))]. given #14473 (H,wt=33): 14848 ((1 / x) * (1 / y)) \ (((1 / x) * ((1 / y) * L(z,y \ (1 / x),u))) * u) = L(z,y,x) * u. [para(14705(a,1),14001(a,1,2,1,2,2))]. given #14474 (H,wt=33): 15766 1 * (a(a(x,y,z),u,w) * a(a(x,y,z),u,v5)) = L(a(x,y,L(z,w,u)),v5,u) \ a(x,y,z). [para(15760(a,2),15126(a,2,1,1))]. given #14475 (H,wt=33): 15930 a(x,y,z) \ (a(x,y,z) * (u / (a(x,w,v5) \ a(x,y,z)))) = (a(x,y,z) \ u) * a(x,w,v5). [para(15929(a,1),15831(a,1,2))]. given #14476 (H,wt=33): 15931 ((1 / x) * (1 / y)) \ (((1 / x) * ((1 / y) * L(z,y \ (x \ 1),u))) * u) = L(z,y,x) * u. [para(2466(a,1),14848(a,1,2,1,2,2))]. given #14477 (H,wt=31): 15934 ((1 / x) * (1 / y)) \ (((1 / x) * ((1 / y) * R(z,u,x * y))) * u) = L(z,y,x) * u. [para(13711(a,1),15931(a,1,2,1,2,2))]. given #14478 (H,wt=31): 15935 ((x \ 1) * (1 / y)) \ (((x \ 1) * ((1 / y) * R(z,u,x * y))) * u) = L(z,y,x) * u. [hyper(58,a,15730,a(flip),b,15934,a)]. given #14479 (H,wt=27): 15936 ((1 / x) \ (((1 / x) * R(y,z,u * x)) * (z * u))) / u = L(y,x,u) * z. [hyper(58,a,7162,a(flip),b,15935,a)]. given #14480 (H,wt=23): 15937 ((R(x,y,z * u) * ((y * z) * u)) / u) / z = L(x,u,z) * y. [para(663(a,1),15936(a,1,1))]. given #14481 (H,wt=21): 15938 (((x * R(y,z,u)) * (z * u)) / u) / z = L(x,u,z) * y. [para(15838(a,1),15937(a,1,1,1))]. given #14482 (H,wt=16): 15939 L(x * R(y,z,u),u,z) = L(x,u,z) * y. [hyper(13774,a,15938,a)]. given #14483 (H,wt=16): 15940 R(L(x,y,z) * u,z,y) = x * R(u,z,y). [hyper(13760,a,15939,a)]. given #14484 (H,wt=20): 15943 R(L(x,y,z) * (x \ u),z,y) / u = a(z,y,x \ u). [hyper(113,a,15940,a,b,14852,a)]. given #14485 (H,wt=18): 15946 R(a(x,y,z) \ u,y,z) / u = a(y,z,x \ u). [para(13667(a,1),15943(a,1,1,1))]. given #14486 (H,wt=18): 15947 R(a(x,y,z) \ u,y,z) / u = a(z,x \ u,y). [hyper(272,a,13641,a,b,15946,a),flip(a)]. given #14487 (H,wt=22): 15942 a(x,L(y,z,u),w * R(v5,u,z)) = a(x,y,L(w,z,u) * v5). [para(15939(a,1),15771(a,2,3))]. given #14488 (H,wt=22): 15948 a(x,L(y,z,u),w * L(v5,u,z)) = a(x,y,L(w,z,u) * v5). [hyper(58,a,15909,a(flip),b,15942,a)]. given #14489 (H,wt=22): 15949 a(x,y,L(z * L(u,w,v5),v5,w)) = a(x,y,L(z,v5,w) * u). [hyper(15786,a,15948,a)]. given #14490 (H,wt=20): 15950 a(x,y,L(x,z,u) * (w \ v5)) = a(x,y,x * (w \ v5)). [hyper(58,a,15920,a(flip),b,15949,a),flip(a)]. given #14491 (H,wt=18): 15951 a(x,y,x * (z \ L(x,u,w))) = a(y,z,x \ 1). [hyper(58,a,15893,a(flip),b,15950,a),flip(a)]. given #14492 (H,wt=16): 15952 a(x,y \ a(z,u,w),z) = a(x,y,z \ 1). [hyper(15900,a,15951,a)]. given #14493 (H,wt=26): 15954 (x \ y) \ (R(x,z,u \ a(x \ 1,w,v5)) \ y) = a(z,u,(x \ 1) \ 1). [hyper(58,a,14833,a,b,15952,a)]. given #14494 (H,wt=26): 15955 (x \ y) \ (R(x,z,u \ a(w,v5,x \ 1)) \ y) = a(z,u,(x \ 1) \ 1). [para(12401(a,1),15954(a,1,2,1,3,2))]. given #14495 (H,wt=26): 15956 (x \ y) \ (L(x,a(z,u,x \ 1) \ w,v5) \ y) = a(v5,w,(x \ 1) \ 1). [para(13722(a,1),15955(a,1,2,1))]. given #14496 (H,wt=24): 15957 (x \ y) \ (L(x,z * a(x,u,w),v5) \ y) = a(v5,z,(x \ 1) \ 1). [para(14681(a,1),15956(a,1,2,1,2))]. given #14497 (H,wt=18): 15958 a(x,y,z * a(x,u,w)) = a(y,z,(x \ 1) \ 1). [hyper(14837,a,15957,a)]. given #14498 (H,wt=14): 15959 a(x,y,z * a(x,u,w)) = a(y,z,x). [hyper(272,a,14969,a(flip),b,15958,a),flip(a)]. given #14499 (H,wt=14): 15961 a(x,y,z * a(x,u,w)) = a(x,y,z). [hyper(272,a,13641,a(flip),b,15959,a),flip(a)]. given #14500 (H,wt=33): 15932 1 * (a(a(x,y,z),u,w) * a(a(x,y,z),u,v5)) = a(x,y,L(L(z,w,u),v5,u)) \ a(x,y,z). [para(15760(a,2),15766(a,2,1))]. given #14501 (H,wt=30): 15963 1 * (a(a(x,y,z),u,w) * a(a(x,y,z),u,w)) = a(x,y,L(z,u,w)) \ a(x,y,z). [para(15856(a,1),15932(a,2,1))]. given #14502 (H,wt=25): 15964 1 * (a(a(x,y,z),u,w) * a(a(x,y,z),u,w)) = a(u,a(x,y,z),w). [hyper(272,a,15810,a(flip),b,15963,a),flip(a)]. given #14503 (H,wt=25): 15965 1 * (a(a(x,y,z),u,w) * a(a(x,y,z),u,w)) = a(w,u,a(x,y,z)). [hyper(272,a,13641,a(flip),b,15964,a),flip(a)]. given #14504 (H,wt=25): 15966 1 * (a(x,a(y,z,u),w) * a(a(y,z,u),w,x)) = a(x,w,a(y,z,u)). [para(13641(a,1),15965(a,1,2,1))]. given #14505 (H,wt=25): 15967 1 * (a(x,a(y,z,u),w) * a(x,a(y,z,u),w)) = a(x,w,a(y,z,u)). [para(13641(a,1),15966(a,1,2,2))]. given #14506 (H,wt=23): 15968 a(x,a(y,z,u),w) * a(x,a(y,z,u),w) = a(x,w,a(y,z,u)). [hyper(115,a,15967,a)]. given #14507 (H,wt=27): 15969 a(x,a(y,z,u),w) * a(x,a(y,u \ z,z),w) = a(x,w,a(y,u \ z,z)). [para(15882(a,1),15968(a,1,1))]. given #14508 (H,wt=25): 15970 a(x,a(y,z,u),w) * a(x,a(y,z,u),w) = a(x,w,a(y,u \ z,z)). [para(15882(a,1),15969(a,1,2))]. given #14509 (H,wt=17): 15971 a(x,y,a(z,u \ w,w)) = a(x,y,a(z,w,u)). [hyper(58,a,15968,a(flip),b,15970,a),flip(a)]. given #14510 (H,wt=33): 15933 a(x,y,z) \ (a(x,y,z) * ((a(x,y,z) \ a(x,u,w)) * v5)) = (a(x,y,z) \ v5) * a(x,u,w). [para(15117(a,1),15930(a,1,2,2))]. given #14511 (H,wt=23): 15972 (a(x,y,z) \ a(x,u,w)) * v5 = (a(x,y,z) \ v5) * a(x,u,w). [hyper(287,a,15933,a)]. given #14512 (H,wt=23): 15973 (a(x,y,z) \ a(x,u,w)) * v5 = L(x,z,y) * (L(x,w,u) \ v5). [hyper(272,a,15836,a(flip),b,15972,a),flip(a)]. given #14513 (H,wt=34): 15020 (R(a(x,y * z,y),u,w) \ v5) * ((v5 * a(x,z \ y,y)) \ 1) = a(u,w,a(x,y * z,y) \ 1). [para(14995(a,1),14923(a,1,2,1))]. given #14514 (H,wt=34): 15975 (a(x,y * z,L(y,u,w)) \ v5) * ((v5 * a(x,z \ y,y)) \ 1) = a(u,w,a(x,y * z,y) \ 1). [para(15762(a,2),15020(a,1,1,1))]. given #14515 (H,wt=44): 15006 a(x,y \ z,z) \ (a(a(x,z * y,z),u,w) \ K(a(x,z * y,z),v5)) = T(L(T(a(x,z * y,z),v5),w,u),a(x,y \ z,z)). [hyper(359,a,14821,a,b,14995,a(flip)),flip(a)]. given #14516 (H,wt=42): 15976 a(x,y \ z,z) \ (a(a(x,z * y,z),u,w) \ K(a(x,z * y,z),v5)) = T(L(a(x,z * y,z),w,u),a(x,y \ z,z)). [para(14362(a,1),15006(a,2,1,1))]. given #14517 (H,wt=42): 15978 a(x,y \ z,z) \ (a(a(x,z * y,z),u,w) \ K(a(x,z * y,z),v5)) = T(a(x,z * y,L(z,w,u)),a(x,y \ z,z)). [para(15760(a,2),15976(a,2,1))]. given #14518 (H,wt=35): 15979 a(x,y \ z,z) \ (a(a(x,z * y,z),u,w) \ K(a(x,z * y,z),v5)) = a(x,z * y,L(z,w,u)). [hyper(272,a,14362,a(flip),b,15978,a),flip(a)]. given #14519 (H,wt=35): 15981 a(x,y \ z,z) \ (a(u,a(x,z * y,z),w) \ K(a(x,z * y,z),v5)) = a(x,z * y,L(z,u,w)). [para(13641(a,1),15979(a,1,2,1))]. given #14520 (H,wt=28): 15982 a(x,y \ z,z) \ (a(u,a(x,z * y,z),w) \ 1) = a(x,z * y,L(z,u,w)). [para(150(a,1),15981(a,1,2,2))]. given #14521 (H,wt=28): 15983 a(x,y \ z,z) \ a(u,w \ 1,a(x,z * y,z)) = a(x,z * y,L(z,w,u)). [para(13650(a,2),15982(a,1,2))]. given #14522 (H,wt=28): 15985 a(x,y \ z,z) \ a(u,w,a(x,z * y,z) \ 1) = a(x,z * y,L(z,w,u)). [para(13643(a,1),15983(a,1,2))]. given #14523 (H,wt=28): 15986 a(x,y \ z,z) \ a(u,w,a(z,x \ 1,z * y)) = a(x,z * y,L(z,w,u)). [para(13650(a,2),15985(a,1,2,3))]. given #14524 (H,wt=28): 15987 a(x,y \ z,z) \ a(u,w,a(z,x,(z * y) \ 1)) = a(x,z * y,L(z,w,u)). [para(13643(a,1),15986(a,1,2,3))]. given #14525 (H,wt=28): 15988 a(x,y \ z,z) \ a(u,w,a(z,x,y \ (z \ 1))) = a(x,z * y,L(z,w,u)). [para(12459(a,1),15987(a,1,2,3))]. given #14526 (H,wt=26): 15989 a(x,y \ z,z) \ a(u,w,a(z,x,y \ z)) = a(x,z * y,L(z,w,u)). [para(14991(a,1),15988(a,1,2,3))]. given #14527 (H,wt=26): 15990 a(x,y \ z,z) \ a(u,w,a(x,y \ z,z)) = a(x,z * y,L(z,w,u)). [para(13641(a,2),15989(a,1,2,3))]. given #14528 (H,wt=26): 15991 a(x,y \ z,z) \ a(u,a(x,y \ z,z),w) = a(x,z * y,L(z,u,w)). [para(13641(a,2),15990(a,1,2))]. given #14529 (H,wt=21): 15992 a(x \ y,y,L(z,u,w) \ 1) = a(z,y * x,L(y,u,w)). [hyper(58,a,15807,a(flip),b,15991,a)]. given #14530 (H,wt=23): 15993 a(x,y * z,L(y,u,w)) \ v5 = v5 * a(x,z \ y,L(y,u,w)). [para(15992(a,1),15823(a,1,1))]. given #14531 (H,wt=19): 15994 a(x,y \ z,L(y,u,w)) = a(x,y * z,L(y,u,w)). [hyper(14910,a,15993,a)]. given #14532 (H,wt=34): 15995 (x * a(y,z \ u,L(u,w,v5))) * ((x * a(y,z \ u,u)) \ 1) = a(w,v5,a(y,u * z,u) \ 1). [para(15993(a,1),15975(a,1,1))]. given #14533 (H,wt=34): 15996 (x * a(y,z \ u,L(u,w,v5))) * (x \ a(z \ u,u,y \ 1)) = a(w,v5,a(y,u * z,u) \ 1). [para(14845(a,1),15995(a,1,2))]. given #14534 (H,wt=34): 15997 (x * a(y,z \ u,L(u,w,v5))) * (x \ a(u,y \ 1,z \ u)) = a(w,v5,a(y,u * z,u) \ 1). [para(13641(a,2),15996(a,1,2,2))]. given #14535 (H,wt=34): 15998 (x * a(y,z \ u,L(u,w,v5))) * (x \ a(u,y,(z \ u) \ 1)) = a(w,v5,a(y,u * z,u) \ 1). [para(13643(a,1),15997(a,1,2,2))]. given #14536 (H,wt=32): 15999 (x * a(y,z \ u,L(u,w,v5))) * (x \ a(u,y,u \ z)) = a(w,v5,a(y,u * z,u) \ 1). [para(10016(a,1),15998(a,1,2,2))]. given #14537 (H,wt=32): 16000 (x * a(y,z \ u,L(u,w,v5))) * (x \ a(u,y,u * z)) = a(w,v5,a(y,u * z,u) \ 1). [para(15009(a,1),15999(a,1,2,2))]. given #14538 (H,wt=32): 16001 (x * a(y,z \ u,L(u,w,v5))) * (x \ a(y,u * z,u)) = a(w,v5,a(y,u * z,u) \ 1). [para(13641(a,2),16000(a,1,2,2))]. given #14539 (H,wt=32): 16002 x * ((a(y,z \ u,L(u,w,v5)) \ x) \ a(y,u * z,u)) = a(w,v5,a(y,u * z,u) \ 1). [hyper(58,a,15926,a(flip),b,16001,a)]. given #14540 (H,wt=32): 16003 x * ((x * a(y,z \ u,L(z,w,v5))) \ a(y,z * u,z)) = a(w,v5,a(y,z * u,z) \ 1). [para(14849(a,1),16002(a,1,2,1))]. given #14541 (H,wt=32): 16004 x * ((x * a(y,z * u,L(z,w,v5))) \ a(y,z * u,z)) = a(w,v5,a(y,z * u,z) \ 1). [para(15994(a,1),16003(a,1,2,1,2))]. given #14542 (H,wt=32): 16005 x * (x \ (a(y,z * u,L(z,w,v5)) \ a(y,z * u,z))) = a(w,v5,a(y,z * u,z) \ 1). [para(15860(a,1),16004(a,1,2))]. given #14543 (H,wt=32): 16006 x * (x \ (y \ L(R(y,z * u,z),L(z,w,v5),z * u))) = a(w,v5,a(y,z * u,z) \ 1). [para(15134(a,1),16005(a,1,2,2))]. given #14544 (H,wt=32): 16007 x * (x \ (y \ L(L(y,z,u \ z),L(z,w,v5),z * u))) = a(w,v5,a(y,z * u,z) \ 1). [para(15010(a,1),16006(a,1,2,2,2,1))]. given #14545 (H,wt=32): 16008 x * (x \ (y \ L(L(y,z,u \ z),z,L(z * u,w,v5)))) = a(w,v5,a(y,z * u,z) \ 1). [para(15783(a,1),16007(a,1,2,2,2))]. given #14546 (H,wt=28): 16009 x \ L(L(x,y,z \ y),y,L(y * z,u,w)) = a(u,w,a(x,y * z,y) \ 1). [hyper(230,a,16008,a)]. given #14547 (H,wt=28): 16010 x \ L(L(x,y,z \ y),y,L(y * z,u,w)) = a(u,w,a(y,x \ 1,y * z)). [para(13650(a,2),16009(a,2,3))]. given #14548 (H,wt=28): 16011 x \ L(L(x,y,z \ y),y,L(y * z,u,w)) = a(u,w,a(y,x,(y * z) \ 1)). [para(13643(a,1),16010(a,2,3))]. given #14549 (H,wt=28): 16012 x \ L(L(x,y,z \ y),y,L(y * z,u,w)) = a(u,w,a(y,x,y * (z \ 1))). [para(15708(a,1),16011(a,2,3))]. given #14550 (H,wt=26): 16013 x \ L(L(x,y,z \ y),y,L(y * z,u,w)) = a(u,w,a(y,x,z \ y)). [para(14959(a,1),16012(a,2,3))]. given #14551 (H,wt=26): 16014 x \ L(L(x,y,z \ y),y,L(y * z,u,w)) = a(u,w,a(x,z \ y,y)). [para(13641(a,2),16013(a,2,3))]. given #14552 (H,wt=24): 16015 x \ L(L(x,y,z \ y),y,L(y * z,u,w)) = a(u,w,a(x,y,z)). [hyper(272,a,15971,a(flip),b,16014,a),flip(a)]. given #14553 (H,wt=45): 15824 ((a(x,y,z) \ a(x,u,w)) \ 1) * ((((a(x,y,z) \ a(x,u,w)) * v5) / L(x,w,u)) * L(x,z,y)) = v5 * (a(x,y,z) \ a(x,u,w)). [hyper(114,a,15820,a,b,3502,a)]. given #14554 (H,wt=43): 16016 (a(x,y,z) \ a(x,u,w)) * ((((a(x,u,w) \ a(x,y,z)) * v5) / L(x,z,y)) * L(x,w,u)) = v5 * (a(x,u,w) \ a(x,y,z)). [para(10262(a,1),15824(a,1,1))]. given #14555 (H,wt=43): 16017 (a(x,y,z) \ a(x,u,w)) * (((L(x,w,u) * (L(x,z,y) \ v5)) / L(x,z,y)) * L(x,w,u)) = v5 * (a(x,u,w) \ a(x,y,z)). [para(15973(a,1),16016(a,1,2,1,1))]. given #14556 (H,wt=43): 16018 (a(x,y,z) \ a(x,u,w)) * ((L(x,w,u) * (L(x,z,y) \ v5)) * (a(x,u,w) \ a(x,y,z))) = v5 * (a(x,u,w) \ a(x,y,z)). [para(15820(a,1),16017(a,1,2))]. given #14557 (H,wt=33): 16019 a(x,y,z) * ((L(x,u,w) * (L(x,z,y) \ v5)) / a(x,y,z)) = v5 * (a(x,w,u) \ a(x,y,z)). [hyper(15825,a,16018,a)]. given #14558 (H,wt=33): 16020 a(x,y,z) * (a(x,y,z) \ (L(x,u,w) * (L(x,z,y) \ v5))) = v5 * (a(x,w,u) \ a(x,y,z)). [para(14340(a,1),16019(a,1,2))]. given #14559 (H,wt=33): 16021 a(x,y,z) * (L(x,z,y) * (a(x,u,w) \ (L(x,z,y) \ v5))) = v5 * (a(x,u,w) \ a(x,y,z)). [para(13779(a,1),16020(a,1,2))]. given #14560 (H,wt=23): 16022 a(x,y,z) * (a(x,u,w) \ v5) = v5 * (a(x,u,w) \ a(x,y,z)). [para(15818(a,1),16021(a,1,2))]. given #14561 (H,wt=26): 16023 x * (a(y,z,u) \ a(y,w,a(y,z,u) \ x)) = R(a(y,z,u) \ x,y,w). [hyper(13681,a,16022,a),flip(a)]. given #14562 (H,wt=26): 16025 x * (a(y,z,u) \ a(y,w,x * a(y,u,z))) = R(a(y,z,u) \ x,y,w). [para(15907(a,1),16023(a,1,2,2))]. given #14563 (H,wt=21): 16026 x * (a(y,z,u) \ a(y,w,x)) = R(a(y,z,u) \ x,y,w). [para(15961(a,1),16025(a,1,2,2))]. given #14564 (H,wt=21): 16027 x * (a(y,z,u) \ a(x,y,w)) = R(a(y,z,u) \ x,y,w). [para(13641(a,1),16026(a,1,2,2))]. given #14565 (H,wt=19): 16029 R(a(x,y,z) \ u,x,w) = a(x,y,z) \ R(u,x,w). [hyper(15213,a,16027,a),flip(a)]. given #14566 (H,wt=19): 16030 R(a(x,y,z) \ u,y,w) = a(y,z,x) \ R(u,y,w). [para(13641(a,1),16029(a,1,1,1))]. given #14567 (H,wt=19): 16031 R(a(x,y,z) \ u,y,w) = a(x,y,z) \ R(u,y,w). [hyper(272,a,13658,a(flip),b,16030,a),flip(a)]. given #14568 (H,wt=18): 16032 (a(x,y,z) \ R(u,y,z)) / u = a(z,x \ u,y). [para(16031(a,1),15947(a,1,1))]. given #14569 (H,wt=18): 16033 (x * a(y,z,u)) \ R(x,z,u) = a(u,y \ x,z). [hyper(58,a,15192,a(flip),b,16032,a)]. given #14570 (H,wt=16): 16034 a(x,y,z) \ a(u,y,z) = a(z,x \ u,y). [hyper(58,a,15216,a(flip),b,16033,a)]. given #14571 (H,wt=16): 16035 a(x,y,z) \ a(y,z,u) = a(z,x \ u,y). [para(13641(a,2),16034(a,1,2))]. given #14572 (H,wt=16): 16036 x \ L(R(x,y,z),u,y) = a(y,u \ z,x). [hyper(58,a,15133,a(flip),b,16035,a)]. given #14573 (H,wt=16): 16037 L(R(x,y,z),z,u) = x * a(x,u \ y,z). [para(16036(a,1),15806(a,1,2)),flip(a)]. given #14574 (H,wt=14): 16039 L(R(x,y,z),z,u) = L(x,z,y \ u). [hyper(272,a,13654,a(flip),b,16037,a),flip(a)]. given #14575 (H,wt=17): 16040 L(R(x,y,z),z,u) != w | L(x,z,y \ u) = w. [para(16037(a,2),14911(a,1))]. given #14576 (H,wt=18): 16041 L(R(x,1 / y,z),z,u) = L(x,z,T(u * y,w)). [hyper(272,a,14822,a,b,16039,a),flip(a)]. given #14577 (H,wt=18): 16043 L(L(x,y,1 \ z),y,u) = L(x,y,T(u * z,w)). [para(14928(a,1),16041(a,1,1))]. given #14578 (H,wt=16): 16044 L(L(x,y,z),y,u) = L(x,y,T(u * z,w)). [para(60(a,1),16043(a,1,1,3))]. given #14579 (H,wt=14): 16045 L(L(x,y,z),y,u) = L(x,y,u * z). [hyper(272,a,14338,a(flip),b,16044,a),flip(a)]. given #14580 (H,wt=17): 16047 L(L(x,y,z),y,u) != w | L(x,y,u * z) = w. [para(16044(a,2),7025(a,1))]. given #14581 (H,wt=16): 16050 L(x,y,y \ z) != u | L(x,y,y * z) = u. [para(15241(a,1),16047(a,1))]. given #14582 (H,wt=17): 16048 L(L(x,y,z),y,u) != w | L(x,y,z * u) = w. [para(16044(a,2),14879(a,1))]. given #14583 (H,wt=19): 16049 L(R(L(x,y,z),u,y),y,w) = L(x,y,(u \ w) * z). [hyper(58,a,16039,a,b,16045,a)]. given #14584 (H,wt=19): 16052 L(L(R(x,y,z),z,u),z,w) = L(x,z,(y \ w) * u). [para(24(a,1),16049(a,1,1))]. given #14585 (H,wt=18): 16053 L(L(x,y,z \ u),y,w) = L(x,y,(z \ w) * u). [para(16039(a,1),16052(a,1,1))]. given #14586 (H,wt=17): 16055 L(x,y,(z \ u) * w) = L(x,y,u * (z \ w)). [hyper(16047,a,16053,a),flip(a)]. given #14587 (H,wt=20): 16056 L(x,y,(z \ u) * w) != v5 | L(x,y,u * (z \ w)) = v5. [para(16053(a,1),16047(a,1))]. given #14588 (H,wt=22): 16042 L(R(x,T(y * z,z),u),u,((1 / z) \ y) * w) = L(x,u,w). [para(3722(a,1),16039(a,2,3))]. given #14589 (H,wt=20): 16059 L(R(x,y * z,u),u,((1 / z) \ y) * w) = L(x,u,w). [para(14610(a,1),16042(a,1,1))]. given #14590 (H,wt=20): 16060 L(R(x,y * z,u),u,y * ((1 / z) \ w)) = L(x,u,w). [hyper(16056,a,16059,a)]. given #14591 (H,wt=18): 16062 L(R(x,y * z,u),u,y * (w * z)) = L(x,u,w). [hyper(15418,a,16060,a)]. given #14592 (H,wt=17): 16063 L(x,y,(z * u) \ (z * (w * u))) = L(x,y,w). [hyper(16040,a,16062,a)]. given #14593 (H,wt=14): 16064 L(x,y,L(T(z,u),u,w)) = L(x,y,z). [para(211(a,1),16063(a,1,3))]. given #14594 (H,wt=12): 16065 L(x,y,L(z,u,w)) = L(x,y,z). [hyper(14716,a,16064,a)]. given #14595 (H,wt=15): 16066 L(x,y,z) != u | L(x,y,L(z,w,v5)) = u. [para(16064(a,1),14716(a,1))]. given #14596 (H,wt=17): 16067 L(L(x,y,z),y,u) = L(x,y,z * L(u,w,v5)). [hyper(16048,a,16065,a),flip(a)]. given #14597 (H,wt=16): 16078 L(x,y,z * L(u,w,v5)) = L(x,y,u * z). [hyper(16047,a,16067,a),flip(a)]. given #14598 (H,wt=19): 16080 L(x,y,L(z * u,w,v5)) = L(x,y,u * L(z,v6,v7)). [hyper(272,a,16065,a,b,16078,a)]. given #14599 (H,wt=19): 16081 L(x,y,L(z * u,w,v5)) = L(x,y,z * L(u,v6,v7)). [hyper(58,a,15847,a,b,16080,a)]. given #14600 (H,wt=24): 16083 a(x,y,a(z,u,w)) = z \ L(L(z,u,w \ u),u,u * L(w,v5,v6)). [para(16081(a,1),16015(a,1,2)),flip(a)]. given #14601 (H,wt=15): 16084 a(x,y,a(z,u,w)) = a(v5,v6,a(z,u,w)). [hyper(272,a,16083,a,b,16083,a)]. given #14602 (H,wt=9): 16088 a(x,y,a(z,u,w)) = 1. [hyper(10254,a,16084,a),flip(a)]. -------- Proof 1 -------- ============================== PROOF ================================= % Proof 1 at 1965.22 (+ 93.64) seconds.. % Length of proof: 13731 (0 new hints) % Level of proof: 699 % Maximum clause weight: 67.000 % Given clauses in run: 14602 % Given clauses in proof: 13719 (0 new hints) 1 a(a(x,y,z),u,w) = 1 # label("aa1") # label(non_clause) # label(goal). [goal]. 2 1 * x = x. [assumption]. 3 x * 1 = x. [assumption]. 4 x \ (x * y) = y. [assumption]. 5 x * (x \ y) = y. [assumption]. 6 (x * y) / y = x. [assumption]. 7 (x / y) * y = x. [assumption]. 8 (x * (y * z)) \ ((x * y) * z) = a(x,y,z) # label("associator"). [assumption]. 9 a(x,y,z) = (x * (y * z)) \ ((x * y) * z). [copy(8),flip(a)]. 10 (x * y) \ (y * x) = K(y,x) # label("commutator"). [assumption]. 11 K(x,y) = (y * x) \ (x * y). [copy(10),flip(a)]. 12 (x * y) \ (x * (y * z)) = L(z,y,x). [assumption]. 13 L(x,y,z) = (z * y) \ (z * (y * x)). [copy(12),flip(a)]. 14 ((x * y) * z) / (y * z) = R(x,y,z). [assumption]. 15 R(x,y,z) = ((x * y) * z) / (y * z). [copy(14),flip(a)]. 16 x \ (y * x) = T(y,x). [assumption]. 17 T(x,y) = y \ (x * y). [copy(16),flip(a)]. 18 T(T(x,y),z) = T(T(x,z),y). [assumption]. 19 T(L(x,y,z),u) = L(T(x,u),y,z). [assumption]. 20 L(T(x,y),z,u) = T(L(x,z,u),y). [copy(19),flip(a)]. 21 T(R(x,y,z),u) = R(T(x,u),y,z). [assumption]. 22 R(T(x,y),z,u) = T(R(x,z,u),y). [copy(21),flip(a)]. 23 L(R(x,y,z),u,w) = R(L(x,u,w),y,z). [assumption]. 24 R(L(x,y,z),u,w) = L(R(x,u,w),y,z). [copy(23),flip(a)]. 25 L(L(x,y,z),u,w) = L(L(x,u,w),y,z). [assumption]. 26 R(R(x,y,z),u,w) = R(R(x,u,w),y,z). [assumption]. 27 ((1 / x) \ y) * (z * x) = x * ((y * z) * x) # label("Osborn"). [assumption]. 28 K(x,y) = K(y,x) # label("Kcom"). [assumption]. 29 x * y != z | x * u != z | y = u # label("*-Cancellation 1"). [assumption]. 30 x * y != z | u * y != z | x = u # label("*-Cancellation 2"). [assumption]. 31 x / y != z | x / u != z | y = u # label("/-Cancellation 1"). [assumption]. 32 x / y != z | u / y != z | x = u # label("/-Cancellation 2"). [assumption]. 33 x \ y != z | x \ u != z | y = u # label("\-Cancellation 1"). [assumption]. 34 x \ y != z | u \ y != z | x = u # label("\-Cancellation 2"). [assumption]. 35 T(x,y) != z | T(u,y) != z | x = u # label("T-Cancellation 1"). [assumption]. 36 L(x,y,z) != u | L(w,y,z) != u | x = w # label("L-Cancellation 1"). [assumption]. 37 R(x,y,z) != u | R(w,y,z) != u | x = w # label("R-Cancellation 1"). [assumption]. 38 x * y != x * z | y = z # label("*-Cancellation 3"). [assumption]. 39 x * y != z * y | x = z # label("*-Cancellation 4"). [assumption]. 40 x / y != x / z | y = z # label("/-Cancellation 3"). [assumption]. 41 x / y != z / y | x = z # label("/-Cancellation 4"). [assumption]. 42 x \ y != x \ z | y = z # label("\-Cancellation 3"). [assumption]. 43 x \ y != z \ y | x = z # label("\-Cancellation 4"). [assumption]. 44 T(x,y) != T(z,y) | x = z # label("T-Cancellation 2"). [assumption]. 45 L(x,y,z) != L(u,y,z) | x = u # label("L-Cancellation 2"). [assumption]. 46 R(x,y,z) != R(u,y,z) | x = u # label("R-Cancellation 2"). [assumption]. 47 a(x,y,z) != 1 | L(z,y,x) = z # label("Compat 1"). [assumption]. 48 L(x,y,z) != x | a(z,y,x) = 1 # label("Compat 2"). [assumption]. 49 T(x,y) != x | T(y,x) = y # label("Compat 3"). [assumption]. 50 T(x,y) != x | K(x,y) = 1 # label("Compat 4"). [assumption]. 51 K(x,y) != 1 | T(x,y) = x # label("Compat 5"). [assumption]. 52 x != y | x * z = y * z # label("Aux 1"). [assumption]. 53 x != y | z * x = z * y # label("Aux 2"). [assumption]. 54 x != y | x / z = y / z # label("Aux 3"). [assumption]. 55 x != y | z / x = z / y # label("Aux 4"). [assumption]. 56 x != y | x \ z = y \ z # label("Aux 5"). [assumption]. 57 x != y | z \ x = z \ y # label("Aux 6"). [assumption]. 58 x != y | y != z | x = z # label("Transitivity ="). [assumption]. 59 a(a(c1,c2,c3),c4,c5) != 1 # label("aa1"). [deny(1)]. 60 1 \ x = x. [para(2(a,1),4(a,1,2))]. 61 x \ x = 1. [para(3(a,1),4(a,1,2))]. 62 x \ (y \ (y * (x * z))) = z. [para(4(a,2),4(a,1,2))]. 63 x \ (x * (y \ (y * z))) = z. [para(4(a,2),4(a,1))]. 64 (x * (x \ 1)) * y = y. [para(5(a,2),2(a,1,1))]. 65 x * (y * (y \ 1)) = x. [para(5(a,2),3(a,1,2))]. 66 x \ (y * (y \ (x * z))) = z. [para(5(a,2),4(a,1,2))]. 67 x * (y \ (y * (x \ z))) = z. [para(4(a,2),5(a,1,2))]. 68 x * (y * (y \ (x \ z))) = z. [para(5(a,2),5(a,1,2))]. 69 x / x = 1. [para(2(a,1),6(a,1,1))]. 70 x / 1 = x. [para(3(a,1),6(a,1,1))]. 71 x * (((x \ y) * z) / z) = y. [para(6(a,2),5(a,1,2))]. 72 x / (y \ x) = y. [para(5(a,1),6(a,1,1))]. 73 ((1 / x) * x) * y = y. [para(7(a,2),2(a,1,1))]. 74 (x / y) \ x = y. [para(7(a,1),4(a,1,2))]. 75 x \ (((x * y) / z) * z) = y. [para(7(a,2),4(a,1,2))]. 76 (x \ (x * (y / z))) * z = y. [para(4(a,2),7(a,1,1))]. 77 (((x * y) / z) * z) / y = x. [para(7(a,2),6(a,1,1))]. 78 (((x / y) / z) * z) * y = x. [para(7(a,2),7(a,1,1))]. 79 (x * (y * z)) * a(x,y,z) = (x * y) * z. [para(9(a,2),5(a,1,2))]. 80 (x * y) \ ((x * (y / z)) * z) = a(x,y / z,z). [para(7(a,1),9(a,2,1,2)),flip(a)]. 81 (x * y) * K(y,x) = y * x. [para(11(a,2),5(a,1,2))]. 82 x \ ((y \ x) * y) = K(y \ x,y). [para(5(a,1),11(a,2,1)),flip(a)]. 83 x \ (y * (x / y)) = K(y,x / y). [para(7(a,1),11(a,2,1)),flip(a)]. 84 x \ (1 * (x * y)) = L(y,x,1). [para(2(a,1),13(a,2,1)),flip(a)]. 85 (x * 1) \ (x * y) = L(y,1,x). [para(2(a,1),13(a,2,2,2)),flip(a)]. 86 (x * y) \ (x * y) = L(1,y,x). [para(3(a,1),13(a,2,2,2)),flip(a)]. 87 (x * y) * L(z,y,x) = x * (y * z). [para(13(a,2),5(a,1,2))]. 88 x \ (y * ((y \ x) * z)) = L(z,y \ x,y). [para(5(a,1),13(a,2,1)),flip(a)]. 89 L(x \ y,x,z) = (z * x) \ (z * y). [para(5(a,1),13(a,2,2,2))]. 90 x \ ((x / y) * (y * z)) = L(z,y,x / y). [para(7(a,1),13(a,2,1)),flip(a)]. 91 R(x,x \ y,z) = (y * z) / ((x \ y) * z). [para(5(a,1),15(a,2,1,1))]. 92 ((x * y) * (y \ z)) / z = R(x,y,y \ z). [para(5(a,1),15(a,2,2)),flip(a)]. 93 R(x,y,z) * (y * z) = (x * y) * z. [para(15(a,2),7(a,1,1))]. 94 R(x / y,y,z) = (x * z) / (y * z). [para(7(a,1),15(a,2,1,1))]. 95 ((x * (y / z)) * z) / y = R(x,y / z,z). [para(7(a,1),15(a,2,2)),flip(a)]. 96 T(1,x) = x \ x. [para(2(a,1),17(a,2,2))]. 97 T(x,x) = x. [para(17(a,2),4(a,1))]. 98 x * T(y,x) = y * x. [para(17(a,2),5(a,1,2))]. 99 T(x,x \ y) = (x \ y) \ y. [para(5(a,1),17(a,2,2))]. 100 T(x / y,y) = y \ x. [para(7(a,1),17(a,2,2))]. 101 x \ (T(y,z) * x) = T(T(y,x),z). [para(18(a,1),17(a,1)),flip(a)]. 102 T(x \ (y * x),z) = T(T(y,z),x). [para(17(a,1),18(a,1,1))]. 103 L(T(T(x,y),z),u,w) = T(L(T(x,z),u,w),y). [para(18(a,1),20(a,1,1))]. 104 x \ (R(y,z,u) * x) = R(T(y,x),z,u). [para(22(a,2),17(a,1)),flip(a)]. 105 T(T(R(x,y,z),u),w) = T(R(T(x,w),y,z),u). [para(22(a,2),18(a,1,1)),flip(a)]. 106 x * ((((1 / x) * y) * z) * x) = y * (z * x). [para(4(a,1),27(a,1,1)),flip(a)]. 107 (x \ y) * ((z * x) * (x \ y)) = ((1 / (x \ y)) \ z) * y. [para(5(a,1),27(a,1,2)),flip(a)]. 108 x * ((y * (z / x)) * x) = ((1 / x) \ y) * z. [para(7(a,1),27(a,1,2)),flip(a)]. 109 K(x,y) = (x * y) \ (y * x). [para(28(a,1),11(a,1))]. 110 x != y | 1 * z != y | x = z. [para(2(a,1),29(a,1))]. 111 1 * x != y | z != y | x = z. [para(2(a,1),29(b,1))]. 112 x != y | z * u != y | z \ x = u. [para(5(a,1),29(a,1))]. 113 x != y | z * u != y | x / u = z. [para(7(a,1),30(a,1))]. 114 x != y | z \ u != y | z * x = u. [para(4(a,1),33(a,1))]. 115 1 * x != y | x = y. [para(2(a,1),38(a,2))]. 116 (x * y) * 1 != x * z | z = y. [para(3(a,2),38(a,2)),flip(a)]. 117 x * y != z | x \ z = y. [para(5(a,1),38(a,1)),flip(a)]. 118 ((x * y) / z) * z != x * u | y = u. [para(7(a,2),38(a,1))]. 119 x * 1 != y | y = x. [para(3(a,1),39(a,1)),flip(a)]. 120 x * 1 != y | x = y. [para(3(a,1),39(a,2))]. 121 x * (y \ z) != z | y = x. [para(5(a,1),39(a,1)),flip(a)]. 122 x * y != z | z / y = x. [para(7(a,1),39(a,1)),flip(a)]. 123 ((x * y) / z) * z != u * y | x = u. [para(7(a,2),39(a,1))]. 125 x / y != z | z * y = x. [para(6(a,1),41(a,1)),flip(a)]. 127 x \ y != z | x * z = y. [para(4(a,1),42(a,1)),flip(a)]. 128 T(x,y) != y \ z | x * y = z. [para(17(a,2),42(a,1))]. 129 x \ (y * z) != z | y = x. [para(4(a,1),43(a,1)),flip(a)]. 130 T(T(x,y),z) != T(u,y) | T(x,z) = u. [para(18(a,1),44(a,1))]. 131 T(x,y) != L(T(z,y),u,w) | L(z,u,w) = x. [para(20(a,2),44(a,1)),flip(a)]. 132 T(L(x,y,z),u) != L(w,y,z) | T(x,u) = w. [para(20(a,1),45(a,1))]. 135 ((x / y) * y) * z = x * z. [hyper(52,a,7,a)]. 136 (x * (x \ y)) * z = y * z. [hyper(52,a,5,a)]. 137 x * (y * (y \ z)) = x * z. [hyper(53,a,5,a)]. 138 x * (y \ (y * z)) = x * z. [hyper(53,a,4,a)]. 139 ((x / y) * y) / z = x / z. [hyper(54,a,7,a)]. 140 (x * (x \ y)) / z = y / z. [hyper(54,a,5,a)]. 141 (x * (x \ y)) \ z = y \ z. [hyper(56,a,5,a)]. 142 (x * y) / y = (x / z) * z. [hyper(58,a,7,a,b,6,a(flip)),flip(a)]. 143 (x / y) * y = z * (z \ x). [hyper(58,a,7,a,b,5,a(flip))]. 144 (x / y) * y = x * 1. [hyper(58,a,7,a,b,3,a(flip))]. 145 x \ (x * y) = z * (z \ y). [hyper(58,a,5,a,b,4,a(flip)),flip(a)]. 146 x * (x \ y) = y * 1. [hyper(58,a,5,a,b,3,a(flip))]. 147 (x * (x \ 1)) \ y = y. [para(5(a,2),60(a,1,1))]. 148 ((1 / x) * x) \ y = y. [para(7(a,2),60(a,1,1))]. 149 1 \ x != y | x = y. [para(60(a,1),42(a,2))]. 150 K(x,x) = 1. [hyper(58,a,11,a,b,61,a)]. 151 (x \ x) * y = y. [para(61(a,2),2(a,1,1))]. 152 x * (y \ y) = x. [para(61(a,2),3(a,1,2))]. 153 x / (y * (y \ 1)) = x. [para(5(a,2),70(a,1,2))]. 154 x / ((1 / y) * y) = x. [para(7(a,2),70(a,1,2))]. 155 T(x,R(x,y,z)) = x. [hyper(37,a,22,a,b,97,a(flip))]. 156 T(x,L(x,y,z)) = x. [hyper(36,a,20,a,b,97,a(flip))]. 157 T(x,T(x,y)) = x. [hyper(35,a,18,a,b,97,a(flip))]. 158 T(T(x,y),x) = T(x,y). [para(97(a,1),18(a,1,1)),flip(a)]. 159 T(L(x,y,z),x) = L(x,y,z). [para(97(a,1),20(a,1,1)),flip(a)]. 160 T(R(x,y,z),x) = R(x,y,z). [para(97(a,1),22(a,1,1)),flip(a)]. 161 x / (y \ x) = z / (y \ z). [hyper(58,a,72,a,b,72,a(flip))]. 162 x / (y \ x) = (y / z) * z. [hyper(58,a,72,a,b,7,a(flip))]. 163 (x * y) / y = z / (x \ z). [hyper(58,a,72,a,b,6,a(flip)),flip(a)]. 164 x / (y \ x) = z * (z \ y). [hyper(58,a,72,a,b,5,a(flip))]. 165 (x / (y \ x)) * z = y * z. [hyper(52,a,72,a)]. 166 R(x,y,z) \ ((x * y) * z) = y * z. [hyper(31,a,15,a(flip),b,72,a),flip(a)]. 167 ((x * y) * z) / a(x,y,z) = x * (y * z). [para(9(a,2),72(a,1,2))]. 168 (x * y) / K(x,y) = y * x. [para(11(a,2),72(a,1,2))]. 169 (x * (y * z)) / L(z,y,x) = x * y. [para(13(a,2),72(a,1,2))]. 170 (x * y) / T(x,y) = y. [para(17(a,2),72(a,1,2))]. 171 (x \ 1) * ((y * z) * (x \ 1)) = (x \ y) * (z * (x \ 1)). [para(72(a,1),27(a,1,1,1)),flip(a)]. 172 x / y != z | z \ x = y. [para(72(a,1),40(a,1)),flip(a)]. 173 (x / y) \ x = z * (z \ y). [hyper(58,a,74,a,b,5,a(flip))]. 174 ((x / y) \ x) * z = y * z. [hyper(52,a,74,a)]. 175 x * ((y / (x \ z)) \ y) = z. [hyper(33,a,4,a,b,74,a(flip))]. 176 ((x / (y / z)) \ x) * z = y. [hyper(32,a,6,a,b,74,a(flip))]. 178 x \ y != z | y / z = x. [para(74(a,1),43(a,1)),flip(a)]. 179 T(1,x) = 1. [hyper(58,a,96,a,b,61,a)]. 182 T(x,1) = x. [hyper(49,a,179,a)]. 183 T(x,y) != 1 | 1 = x. [para(179(a,1),44(a,1)),flip(a)]. 185 T(x,y * (y \ 1)) = x. [para(5(a,2),182(a,1,2))]. 186 x * (((1 / x) * y) * x) = y * x. [hyper(58,a,27,a(flip),b,151,a)]. 187 (x \ x) * y != z | y = z. [para(151(a,1),38(a,2))]. 188 L(x,y,z) != (u \ u) * L(w,y,z) | w = x. [para(151(a,2),45(a,1)),flip(a)]. 189 R(x,y,z) != (u \ u) * R(w,y,z) | w = x. [para(151(a,2),46(a,1)),flip(a)]. 190 x * (y \ y) != z | x = z. [para(152(a,1),39(a,2))]. 191 (x * (x \ 1)) * y != z | y = z. [para(5(a,2),115(a,1,1))]. 192 ((1 / x) * x) * y != z | y = z. [para(7(a,2),115(a,1,1))]. 194 x * (y * (y \ 1)) != z | x = z. [para(5(a,2),120(a,1,2))]. 195 (x * (x \ 1)) \ y != z | y = z. [para(5(a,2),149(a,1,1))]. 196 ((1 / x) * x) \ y != z | y = z. [para(7(a,2),149(a,1,1))]. 197 T(x,L(L(x,y,z),u,w)) = x. [hyper(36,a,20,a,b,156,a(flip))]. 198 T(x,L(T(x,y),z,u)) = x. [hyper(35,a,18,a,b,156,a(flip))]. 199 R(x,x \ 1,y) = y / ((x \ 1) * y). [para(64(a,1),15(a,2,1))]. 200 L(x \ 1,x,y) = (y * x) \ y. [para(65(a,1),13(a,2,2))]. 201 ((1 / x) * (x * y)) \ y = a(1 / x,x,y). [para(73(a,1),9(a,2,2)),flip(a)]. 202 R(1 / x,x,y) = y / (x * y). [para(73(a,1),15(a,2,1))]. 203 (x \ y) * T(x,x \ y) = y. [hyper(58,a,98,a,b,5,a)]. 204 (x * T(y,x)) * z = (y * x) * z. [hyper(52,a,98,a)]. 205 T((x * y) / x,x) = y. [hyper(29,a,7,a(flip),b,98,a),flip(a)]. 206 (x * T(y,x)) / x = y. [hyper(30,a,7,a,b,98,a(flip))]. 207 x \ (y * T(x,y)) = y. [hyper(29,a,5,a,b,98,a(flip))]. 208 x * (y * (y \ T(z,x))) = z * x. [para(5(a,2),98(a,1,2))]. 209 (x * (T(y,x) * z)) \ ((y * x) * z) = a(x,T(y,x),z). [para(98(a,1),9(a,2,2,1)),flip(a)]. 210 (x * y) \ (y * (T(x,y) * z)) = L(z,T(x,y),y). [para(98(a,1),13(a,2,1)),flip(a)]. 211 (x * y) \ (x * (z * y)) = L(T(z,y),y,x). [para(98(a,1),13(a,2,2,2)),flip(a)]. 212 x * T(T(y,x),z) = T(y,z) * x. [para(18(a,1),98(a,1,2))]. 213 x * L(T(y,x),z,u) = L(y,z,u) * x. [para(20(a,2),98(a,1,2))]. 214 x * R(T(y,x),z,u) = R(y,z,u) * x. [para(22(a,2),98(a,1,2))]. 215 x * y != z | y * u != z | T(x,y) = u. [para(98(a,1),29(a,1))]. 216 x * y != z * x | T(z,x) = y. [para(98(a,1),38(a,1)),flip(a)]. 217 x * T(y,x) != z * x | y = z. [para(98(a,2),39(a,1))]. 218 T(x,y) * x = x * T(x,y). [para(157(a,1),98(a,1,2))]. 219 L(x,y,z) * x = x * L(x,y,z). [para(156(a,1),98(a,1,2))]. 220 T(x / (x / y),x / y) = y. [hyper(58,a,100,a,b,74,a)]. 221 (x * y) \ ((z * x) * y) = T(R(z,x,y),x * y). [para(15(a,2),100(a,1,1)),flip(a)]. 222 T(T(x / y,z),y) = T(y \ x,z). [para(100(a,1),18(a,1,1)),flip(a)]. 223 T(L(x / y,z,u),y) = L(y \ x,z,u). [para(100(a,1),20(a,1,1)),flip(a)]. 224 T(R(x / y,z,u),y) = R(y \ x,z,u). [para(100(a,1),22(a,1,1)),flip(a)]. 225 T(x,y) != y \ z | z / y = x. [para(100(a,1),44(a,1)),flip(a)]. 226 T(x / y,y \ x) = x / y. [para(100(a,1),157(a,1,2))]. 227 (x / y) * y != z | x = z. [para(144(a,2),120(a,1))]. 228 x \ (y * (y \ x)) = 1. [hyper(29,a,5,a,b,146,a(flip))]. 229 x * 1 != y * z | y \ x = z. [para(146(a,1),38(a,1))]. 230 x * (x \ y) != z | y = z. [para(146(a,2),120(a,1))]. 231 x * ((x \ 1) * y) = L(y,x \ 1,x). [hyper(58,a,13,a,b,147,a),flip(a)]. 232 K(x \ 1,x) = (x \ 1) * x. [hyper(58,a,11,a,b,147,a)]. 233 (1 / x) * (x * y) = L(y,x,1 / x). [hyper(58,a,13,a,b,148,a),flip(a)]. 234 K(x,1 / x) = x * (1 / x). [hyper(58,a,11,a,b,148,a)]. 235 (x * y) * (y \ 1) = R(x,y,y \ 1). [hyper(58,a,15,a,b,153,a),flip(a)]. 237 (x * (1 / y)) * y = R(x,1 / y,y). [hyper(58,a,15,a,b,154,a),flip(a)]. 239 x / T(y,y \ x) = y \ x. [para(5(a,1),170(a,1,1))]. 241 T(T((x * y) / x,z),x) = T(y,z). [para(205(a,1),18(a,1,1)),flip(a)]. 242 T(x,y) != z | (y * z) / y = x. [para(205(a,1),44(a,1)),flip(a)]. 243 x * y != z | T(x,y) = y \ z. [para(98(a,1),117(a,1)),flip(b)]. 246 x \ x != y | 1 = y. [para(3(a,1),187(a,1))]. 247 R(x,y,z) * (y * z) != u | (x * y) * z = u. [para(15(a,2),227(a,1,1))]. 248 x * T(y,x) != z | y * x = z. [para(170(a,1),227(a,1,1))]. 249 x * y != z | y * T(x,y) = z. [para(206(a,1),227(a,1,1))]. 250 (x * (y * z)) * a(x,y,z) != u | (x * y) * z = u. [para(9(a,2),230(a,1,2))]. 251 (x * y) * L(z,y,x) != u | x * (y * z) = u. [para(13(a,2),230(a,1,2))]. 252 x \ ((x * y) * L(z,y,x)) = y * z. [para(13(a,2),66(a,1,2,2))]. 254 L(x \ (y \ z),x,y) = (y * x) \ z. [para(68(a,1),13(a,2,2))]. 256 x \ (((x * (y * z)) / u) * u) != y * w | z = w. [para(75(a,2),38(a,1))]. 257 (R(x,y,z) * (y * z)) / z = x * y. [para(15(a,2),77(a,1,1,1))]. 258 R((x / y) / z,z,y) = x / (z * y). [para(78(a,1),15(a,2,1))]. 259 x * K(y \ x,y) = (y \ x) * y. [para(5(a,1),81(a,1,1))]. 260 x * K(y,x / y) = y * (x / y). [para(7(a,1),81(a,1,1))]. 261 (x * y) * z != y * x | K(y,x) = z. [para(81(a,1),38(a,1)),flip(a)]. 262 (x * y) * K(T(x,y),y) = T(x,y) * y. [para(98(a,1),81(a,1,1))]. 263 (x * y) / T(y * x,K(x,y)) = K(x,y). [para(81(a,1),170(a,1,1))]. 264 L(T(x,L(x,y,z) \ u),y,z) = (L(x,y,z) \ u) \ u. [hyper(58,a,20,a,b,99,a)]. 265 x \ T(y,y \ z) = x \ ((y \ z) \ z). [hyper(57,a,99,a)]. 266 T(x,x \ y) \ z = ((x \ y) \ y) \ z. [hyper(56,a,99,a)]. 267 x / T(y,y \ z) = x / ((y \ z) \ z). [hyper(55,a,99,a)]. 268 T(x,x \ y) / z = ((x \ y) \ y) / z. [hyper(54,a,99,a)]. 269 x * T(y,y \ z) = x * ((y \ z) \ z). [hyper(53,a,99,a)]. 270 T(x,x \ y) * z = ((x \ y) \ y) * z. [hyper(52,a,99,a)]. 271 T(L(x,y,z),x \ u) = L((x \ u) \ u,y,z). [para(99(a,1),20(a,1,1)),flip(a)]. 272 x != y | z != y | x = z. [para(2(a,1),110(b,1))]. 273 x / (y \ ((x / z) * z)) = y. [hyper(58,a,72,a(flip),b,139,a),flip(a)]. 275 x / (y \ ((x * z) / z)) = y. [hyper(121,a,142,a(flip)),flip(a)]. 276 (x * y) / y != z * u | x / u = z. [para(142(a,2),39(a,1))]. 277 x / y != (z / u) * u | z * y = x. [para(142(a,1),41(a,1)),flip(a)]. 278 ((x / y) * y) * z != u | x * z = u. [para(142(a,1),227(a,1,1))]. 279 (x * y) / y != z | x = z. [para(142(a,2),227(a,1))]. 280 x / (y \ x) != z | y = z. [para(5(a,1),279(a,1,1))]. 281 (x * T(y,x)) / x != z | y = z. [para(98(a,2),279(a,1,1))]. 282 (x / y) * y != z * u | z \ x = u. [para(143(a,2),38(a,1))]. 283 x * (x \ y) != z * u | y / u = z. [para(143(a,1),39(a,1))]. 284 (x * (x \ y)) / z != u | y / z = u. [para(143(a,1),279(a,1,1))]. 285 x \ (x * y) != z * u | z \ y = u. [para(145(a,2),38(a,1))]. 286 x \ y != z * (z \ u) | x * u = y. [para(145(a,1),42(a,1)),flip(a)]. 287 x \ (x * y) != z | y = z. [para(145(a,2),190(a,1))]. 288 x * (y * (y \ z)) != u | x * z = u. [para(145(a,1),230(a,1,2))]. 289 x \ (1 * (x * y)) != z | y = z. [para(2(a,2),287(a,1,2))]. 290 (x / y) \ x != z | y = z. [para(7(a,1),287(a,1,2))]. 291 x \ (y * x) != z | T(y,x) = z. [para(98(a,1),287(a,1,2))]. 292 x \ (y * 1) != z | x \ y = z. [para(146(a,1),287(a,1,2))]. 293 (x * y) \ (y * x) != z | K(y,x) = z. [para(81(a,1),287(a,1,2))]. 295 x / y != (z / u) * u | z \ x = y. [para(162(a,1),40(a,1)),flip(a)]. 296 (x / (y \ x)) * z != u | y * z = u. [para(163(a,1),227(a,1,1))]. 298 (x * (x \ y)) \ z != u | y \ z = u. [para(164(a,1),290(a,1,1))]. 299 x \ y != z * (z \ u) | y / u = x. [para(173(a,1),43(a,1)),flip(a)]. 300 ((x / y) \ x) * (y \ z) = z. [hyper(272,a,5,a(flip),b,174,a),flip(a)]. 301 (x / y) * ((z / y) \ z) = x. [para(74(a,1),175(a,1,2,1,2))]. 303 (x / y) * T(x / y,y) = (y \ x) * (x / y). [para(100(a,1),218(a,1,1)),flip(a)]. 304 T(x / (x / y),(z / (x / y)) \ z) = y. [para(74(a,2),220(a,1,2))]. 305 T(x \ y,y / x) = x \ y. [hyper(49,a,226,a)]. 306 (x / y) * (y \ x) = (y \ x) * (x / y). [para(226(a,1),98(a,1,2)),flip(a)]. 307 x * T(x \ 1,x) = K(x \ 1,x). [hyper(272,a,98,a,b,232,a)]. 308 (x \ 1) \ K(x \ 1,x) = x. [hyper(117,a,232,a(flip))]. 309 ((x / y) \ x) * (1 / y) = K(y,1 / y). [hyper(272,a,174,a,b,234,a)]. 310 T(x,x \ 1) * ((y * z) * T(x,x \ 1)) = ((x \ 1) \ y) * (z * T(x,x \ 1)). [para(239(a,1),27(a,1,1,1)),flip(a)]. 312 x / L(y,z,x / (z * y)) = (x / (z * y)) * z. [para(13(a,2),273(a,1,2))]. 314 ((x \ y) \ y) * (T(x,x \ y) \ z) = z. [para(239(a,1),300(a,1,1,1))]. 315 x * ((y / z) \ y) != u | u / z = x. [para(301(a,1),39(a,1)),flip(a)]. 316 x \ (x * y) = L(y,1,x). [para(3(a,1),85(a,1,1))]. 317 L(x,1,y) = x. [hyper(287,a,316,a),flip(a)]. 318 L(x,1,y) != z | x = z. [para(316(a,1),287(a,1))]. 320 L(1,x,y) = 1. [hyper(246,a,86,a),flip(a)]. 323 x * y != x * z | z = y. [para(3(a,1),116(a,1))]. 324 x * (1 / x) != y | K(x,1 / x) = y. [para(81(a,1),192(a,1))]. 325 L(x,y,1 / y) != z | (1 / y) * (y * x) = z. [para(13(a,2),196(a,1))]. 326 L(x \ 1,x,1 / x) = 1 / x. [hyper(272,a,148,a(flip),b,200,a),flip(a)]. 327 L((x \ y) \ 1,x \ y,x) = y \ x. [hyper(272,a,141,a(flip),b,200,a),flip(a)]. 328 x / L(y \ 1,y,x) = x * y. [hyper(178,a,200,a(flip))]. 329 L(x \ 1,x,y / x) = y \ (y / x). [para(7(a,1),200(a,2,1))]. 330 T((x * y) \ x,z) = L(T(y \ 1,z),y,x). [para(200(a,1),20(a,2,1)),flip(a)]. 331 R((x * y) \ x,z,u) = L(R(y \ 1,z,u),y,x). [para(200(a,1),24(a,1,1))]. 332 R(1 / x,x,y) * z = (y / (x * y)) * z. [hyper(52,a,202,a)]. 333 R(1 / x,x,y) \ y = x * y. [hyper(172,a,202,a(flip))]. 334 R(1 / x,x,x \ y) = (x \ y) / y. [para(5(a,1),202(a,2,2))]. 335 R(1 / (x / y),x / y,y) = y / x. [para(7(a,1),202(a,2,2))]. 336 R(R(1 / x,y,z),x,u) = R(u / (x * u),y,z). [para(202(a,1),26(a,1,1)),flip(a)]. 337 T(x,y) * z != x * y | T(y,T(x,y)) = z. [para(98(a,1),216(a,2))]. 340 x * (y * (y \ 1)) != z * u | z \ x = u. [para(5(a,2),229(a,1,2))]. 341 x * (x \ y) != z * u | z \ y = u. [para(146(a,2),229(a,1))]. 342 x * T(T(y,x),z) != u | T(y,z) * x = u. [para(18(a,1),248(a,1,2))]. 343 x * L(T(y,x),z,u) != w | L(y,z,u) * x = w. [para(20(a,2),248(a,1,2))]. 344 T(x,y) * x != z | x * T(x,y) = z. [para(157(a,1),248(a,1,2))]. 345 L(x,y,1) = x. [hyper(289,a,84,a),flip(a)]. 347 x \ y != z | T(y / x,x) = z. [para(7(a,1),291(a,1,2))]. 348 T(L(x \ 1,x,1 / x),x) = x \ 1. [para(326(a,2),100(a,1,1))]. 349 x / L(y,1 / y,x) = x * (1 / y). [para(74(a,1),328(a,1,2,1))]. 350 x \ y != z * y | R(1 / z,z,y) = x. [para(333(a,1),43(a,1)),flip(a)]. 351 R(x,x \ 1,y) \ y = (x \ 1) * y. [para(72(a,1),333(a,1,1,1))]. 352 K(x,y) = (y * x) \ ((y \ (y * x)) * y). [para(4(a,1),82(a,2,1)),flip(a)]. 353 x * K(y,x / y) != z | y * (x / y) = z. [para(83(a,1),230(a,1,2))]. 354 T(T(x,y),z) != u | T(T(x,z),y) = u. [para(101(a,1),291(a,1))]. 355 x * T(x \ (y * x),z) = T(y,z) * x. [para(102(a,2),98(a,1,2))]. 356 x * T(x \ (y * x),z) != u | T(y,z) * x = u. [para(102(a,2),248(a,1,2))]. 357 (x * y) \ R(x,y,y \ 1) = y \ 1. [hyper(112,a,15,a,b,153,a(flip))]. 358 x \ L(y,x \ 1,x) = (x \ 1) * y. [hyper(112,a,13,a,b,147,a(flip))]. 359 x != y | z * u != y | T(z,u) = u \ x. [para(98(a,1),112(b,1)),flip(c)]. 360 R(x,1 / y,y) / y = x * (1 / y). [hyper(113,a,15,a,b,154,a(flip))]. 361 (x * y) * L(L(z,y,x),u,w) = x * (y * L(z,u,w)). [hyper(114,a,25,a,b,13,a(flip))]. 362 (x * y) * R(L(z,y,x),u,w) = x * (y * R(z,u,w)). [hyper(114,a,24,a,b,13,a(flip))]. 363 x * L(y,z \ x,z) = z * ((z \ x) * y). [hyper(114,a,13,a,b,141,a(flip))]. 364 (x * y) * T(L(z,y,x),u) = x * (y * T(z,u)). [hyper(114,a,20,a(flip),b,13,a(flip))]. 365 T(x,y) = ((1 / y) * x) * y. [hyper(216,a,186,a)]. 366 ((1 / x) \ y) * x = x * (y * x). [para(5(a,1),186(a,1,2,1)),flip(a)]. 367 x * ((y * (1 / x)) * x) = T(y,1 / x) * x. [para(98(a,1),186(a,1,2,1))]. 368 T((1 / x) \ y,x) = y * x. [hyper(272,a,136,a(flip),b,365,a),flip(a)]. 369 T(x,y) / y = (1 / y) * x. [hyper(113,a,365,a,b,xx)]. 370 (1 / (x / y)) * (y \ x) = (y \ x) / (x / y). [hyper(113,a,305,a(flip),b,365,a(flip)),flip(a)]. 371 (1 / L(T(x,y),z,u)) * x = x / L(T(x,y),z,u). [hyper(113,a,198,a(flip),b,365,a(flip)),flip(a)]. 372 (1 / x) * L(x,y,z) = L(x,y,z) / x. [hyper(113,a,159,a(flip),b,365,a(flip)),flip(a)]. 373 (1 / x) * T(x,y) = T(x,y) / x. [hyper(113,a,158,a(flip),b,365,a(flip)),flip(a)]. 374 (1 / T(x,y)) * x = x / T(x,y). [hyper(113,a,157,a(flip),b,365,a(flip)),flip(a)]. 376 (1 / x) * (y / x) = (x \ y) / x. [hyper(113,a,100,a(flip),b,365,a(flip)),flip(a)]. 377 T(x,y) != z * y | (1 / y) * x = z. [para(365(a,2),39(a,1))]. 378 (x * y) * (x \ 1) = T(y,x \ 1). [para(72(a,1),365(a,2,1,1)),flip(a)]. 379 T(x,y) / y != z | (1 / y) * x = z. [para(365(a,2),279(a,1,1))]. 380 (x * (y * x)) / x = (1 / x) \ y. [hyper(242,a,368,a)]. 381 T(T((1 / x) \ y,z),x) = T(y * x,z). [para(368(a,1),18(a,1,1)),flip(a)]. 382 T(x,y) != z * y | (1 / y) \ z = x. [para(368(a,1),44(a,1)),flip(a)]. 383 T(x \ y,x \ 1) = y * (x \ 1). [para(72(a,1),368(a,1,1,1))]. 384 (T(x,y) / y) \ z = ((1 / y) * x) \ z. [hyper(56,a,369,a)]. 385 (x * R(T(y,x),z,u)) * w = (R(y,z,u) * x) * w. [para(22(a,2),204(a,1,1,2))]. 386 L(x \ T(y,z),x,z) = (z * x) \ (y * z). [para(208(a,1),13(a,2,2))]. 388 x * T(T(T(y,x),z),u) = T(T(y,z),u) * x. [para(18(a,1),212(a,1,2,1))]. 389 T(x / y,z) * y = y * T(y \ x,z). [para(100(a,1),212(a,1,2,1)),flip(a)]. 390 T((x * y) / x,z) * x = x * T(y,z). [para(205(a,1),212(a,1,2,1)),flip(a)]. 391 (x * T(x \ y,z)) / x = T(y / x,z). [hyper(242,a,222,a)]. 393 x * T(x \ y,z) != u | T(y / x,z) * x = u. [para(222(a,1),248(a,1,2))]. 394 (x * T(x \ y,z)) / x != u | T(y / x,z) = u. [para(222(a,1),281(a,1,1,2))]. 395 (x * T(y,z)) / x = T((x * y) / x,z). [hyper(242,a,241,a)]. 398 x \ ((y \ x) * y) != z | K(y \ x,y) = z. [para(259(a,1),287(a,1,2))]. 399 K(x \ y,x) * z != (x \ y) * x | T(y,K(x \ y,x)) = z. [para(259(a,1),216(a,2))]. 400 x \ (y * (x / y)) != z | K(y,x / y) = z. [para(260(a,1),287(a,1,2))]. 401 x * (y * x) != z | (1 / x) \ y = z / x. [para(366(a,1),122(a,1)),flip(b)]. 402 T(x,x \ 1) * (y * T(x,x \ 1)) = ((x \ 1) \ y) * T(x,x \ 1). [para(239(a,1),366(a,1,1,1)),flip(a)]. 403 T(x,1 / x) / x = x * (1 / x). [hyper(248,a,373,a),flip(a)]. 404 (T(x,y) / x) / T(x,y) = 1 / x. [hyper(122,a,373,a)]. 405 T(x \ 1,y) / (x \ 1) = x * T(x \ 1,y). [hyper(58,a,165,a(flip),b,373,a),flip(a)]. 406 T(x,x \ y) / x = (1 / x) * ((x \ y) \ y). [para(99(a,1),373(a,1,2)),flip(a)]. 407 T(1 / T(x,y),x) = x \ (x / T(x,y)). [hyper(243,a,374,a)]. 408 ((x \ 1) \ y) / (x \ 1) = x * (y / (x \ 1)). [hyper(58,a,165,a(flip),b,376,a),flip(a)]. 409 (x * (1 / x)) * (x \ 1) = 1 / x. [hyper(272,a,226,a(flip),b,378,a),flip(a)]. 410 (x * L(x \ 1,y,z)) * (x \ 1) = L(x \ 1,y,z). [hyper(272,a,159,a(flip),b,378,a),flip(a)]. 411 R(x \ 1,y,z) / (x \ 1) = x * R(x \ 1,y,z). [hyper(113,a,160,a(flip),b,378,a)]. 412 (x * (1 / x)) \ (1 / x) = x \ 1. [hyper(112,a,226,a(flip),b,378,a)]. 413 T(T(x,y),y \ 1) = (x * y) * (y \ 1). [hyper(58,a,204,a(flip),b,378,a),flip(a)]. 415 ((x * (y * x)) / x) * (z * x) = x * ((y * z) * x). [para(380(a,2),27(a,1,1))]. 416 T(x \ y,x \ 1) != (x \ 1) * z | T(y,x \ 1) = z. [para(383(a,2),216(a,2)),flip(a)]. 418 (1 / x) * (1 / (1 / x)) = (1 / (1 / x)) / x. [hyper(30,a,301,a,b,409,a),flip(a)]. 419 K(x,1 / x) \ (1 / x) = x \ 1. [para(234(a,2),412(a,1,1))]. 420 (x * y) / L(z \ y,z,x) = x * z. [hyper(113,a,137,a(flip),b,87,a)]. 422 x * L(y,z,x / z) = (x / z) * (z * y). [hyper(58,a,135,a(flip),b,87,a)]. 423 L(x \ T(y * x,y),x,y) = y. [hyper(29,a,208,a(flip),b,87,a),flip(a)]. 424 L(x \ (y \ ((y * x) * z)),x,y) = z. [hyper(29,a,68,a(flip),b,87,a),flip(a)]. 425 (x * (y * z)) / T(x * y,L(z,y,x)) = L(z,y,x). [hyper(113,a,87,a(flip),b,98,a)]. 426 x \ (y * L(z,x \ y,x)) = (x \ y) * z. [hyper(112,a,136,a(flip),b,87,a(flip))]. 427 (x * (y * z)) \ (x * (y * (z * u))) = L(L(u,z,y),y * z,x). [para(87(a,1),13(a,2,2,2)),flip(a)]. 428 (x * (y * z)) / (y * L(z,y,x)) = R(x,y,L(z,y,x)). [para(87(a,1),15(a,2,1)),flip(a)]. 429 (x * y) * z != x * (y * u) | L(u,y,x) = z. [para(87(a,1),38(a,1)),flip(a)]. 430 (x * y) \ (x * (y * z)) != u | L(z,y,x) = u. [para(87(a,1),287(a,1,2))]. 431 x * ((x \ 1) * y) != z | L(y,x \ 1,x) = z. [para(87(a,1),191(a,1))]. 434 L(x,y,z) != z | y \ T(z * y,z) = x. [para(423(a,1),45(a,1)),flip(a)]. 435 L(x \ y,x,1 / x) = (1 / x) * y. [hyper(272,a,148,a(flip),b,89,a),flip(a)]. 436 L((x \ 1) \ y,x \ 1,x) = x * y. [hyper(272,a,147,a(flip),b,89,a),flip(a)]. 437 L((x \ y) \ z,x \ y,x) = y \ (x * z). [hyper(272,a,141,a(flip),b,89,a),flip(a)]. 438 L(x \ y,x,z / x) = z \ ((z / x) * y). [para(7(a,1),89(a,2,1))]. 439 T((x * y) \ (x * z),u) = L(T(y \ z,u),y,x). [para(89(a,1),20(a,2,1)),flip(a)]. 440 L(T(x,y) \ z,T(x,y),y) = (x * y) \ (y * z). [para(98(a,1),89(a,2,1))]. 441 L((x \ 1) \ y,x \ 1,x) != z | x * y = z. [para(89(a,2),195(a,1))]. 442 L(x \ 1,x,y) != z | (y * x) \ y = z. [para(89(a,2),292(a,1))]. 443 (x * K(y,1 / y)) \ (x * (1 / y)) = L(y \ 1,K(y,1 / y),x). [para(419(a,1),89(a,1,1)),flip(a)]. 444 L(L(x,y,z) \ u,L(x,y,z),z * y) = (z * (y * x)) \ ((z * y) * u). [para(87(a,1),89(a,2,1))]. 445 R(x,x \ y,z) \ (y * z) = (x \ y) * z. [hyper(112,a,136,a(flip),b,93,a)]. 446 R(x / y,y,z) \ (x * z) = y * z. [hyper(112,a,135,a(flip),b,93,a)]. 447 R(x,y,y \ z) * z = (x * y) * (y \ z). [hyper(58,a,137,a(flip),b,93,a)]. 448 R(x,y / z,z) * y = (x * (y / z)) * z. [para(7(a,1),93(a,1,2))]. 449 (((x * y) * z) * u) / ((y * z) * u) = R(R(x,y,z),y * z,u). [para(93(a,1),15(a,2,1,1)),flip(a)]. 450 T(R(x,y,z),u) * (y * z) = (T(x,u) * y) * z. [para(22(a,1),93(a,1,1))]. 451 L(R(x,y,z),u,w) * (y * z) = (L(x,u,w) * y) * z. [para(24(a,1),93(a,1,1))]. 452 R(R(x,y,z),u,w) * (y * z) = (R(x,u,w) * y) * z. [para(26(a,1),93(a,1,1))]. 453 (x * y) * z != u * (y * z) | R(x,y,z) = u. [para(93(a,1),39(a,1))]. 455 R(x,y,T(z,y)) * (z * y) = (x * y) * T(z,y). [para(98(a,1),93(a,1,2))]. 456 ((x * y) * z) * K(y * z,R(x,y,z)) = (y * z) * R(x,y,z). [para(93(a,1),81(a,1,1))]. 457 ((x * y) * z) / (y * z) != u | R(x,y,z) = u. [para(93(a,1),279(a,1,1))]. 458 R(x,R(y,z,u),z * u) * ((y * z) * u) = (x * R(y,z,u)) * (z * u). [para(93(a,1),93(a,1,2))]. 459 R(x / (1 / y),1 / y,y) = x * y. [hyper(272,a,154,a(flip),b,94,a),flip(a)]. 460 R(x / y,y,y \ 1) = x * (y \ 1). [hyper(272,a,153,a(flip),b,94,a),flip(a)]. 461 R(x / y,y,x \ z) = z / (y * (x \ z)). [hyper(272,a,140,a(flip),b,94,a),flip(a)]. 462 R(x / y,y,y \ z) = (x * (y \ z)) / z. [para(5(a,1),94(a,2,2))]. 463 R(x / (y / z),y / z,z) = (x * z) / y. [para(7(a,1),94(a,2,2))]. 464 T(R((x * y) / x,x,y),x * y) = y. [para(94(a,2),205(a,1,1))]. 465 R(R(x,y,z) / u,u,y * z) = ((x * y) * z) / (u * (y * z)). [para(93(a,1),94(a,2,1))]. 466 R(R(x / y,y,z),y * z,u) = ((x * z) * u) / ((y * z) * u). [para(94(a,2),94(a,1,1))]. 467 (x / y) * y != z * u | x / u = z. [para(7(a,1),123(a,1,1,1))]. 468 R(x * y,K(y,x),z) \ ((y * x) * z) = K(y,x) * z. [para(81(a,1),166(a,1,2,1))]. 469 R(x,K(y \ x,y),z) \ (((y \ x) * y) * z) = K(y \ x,y) * z. [para(259(a,1),166(a,1,2,1))]. 470 R(x * y,L(z,y,x),u) \ ((x * (y * z)) * u) = L(z,y,x) * u. [para(87(a,1),166(a,1,2,1))]. 471 (x * y) / L(z,y / z,x) = x * (y / z). [para(7(a,1),169(a,1,1,2))]. 474 x / K(x \ 1,x) = R(x,x \ 1,x). [para(232(a,2),199(a,2,2)),flip(a)]. 475 x \ R(L(y,x \ 1,x),z,u) = (x \ 1) * R(y,z,u). [hyper(112,a,24,a,b,231,a)]. 476 x * K(x \ 1,x) = L(x,x \ 1,x). [para(232(a,2),231(a,1,2))]. 477 (1 / x) \ L(L(y,x,1 / x),z,u) = x * L(y,z,u). [hyper(112,a,25,a,b,233,a)]. 478 L(T(x,y),y,1 / y) = (1 / y) * (x * y). [para(98(a,1),233(a,1,2)),flip(a)]. 479 T(R(x,y,y \ 1),z) / (y \ 1) = T(x,z) * y. [hyper(113,a,22,a(flip),b,235,a)]. 480 R(R(x,1 / y,y),z,u) / y = R(x,z,u) * (1 / y). [hyper(113,a,26,a,b,237,a)]. 481 L(x,y,z) != (z * y) \ u | y \ (z \ u) = x. [para(254(a,1),45(a,1)),flip(a)]. 482 (((x * y) / z) * z) / y != u * w | x / w = u. [para(7(a,2),276(a,1,1))]. 483 (x * (x \ y)) / z != u * w | (y / z) / w = u. [para(143(a,1),276(a,1,1))]. 485 (x * (x \ y)) * z != u | y * z = u. [para(72(a,1),278(a,1,1,1))]. 486 (x * T(y,x)) * z != u | (y * x) * z = u. [para(170(a,1),278(a,1,1,1))]. 491 ((x / y) * y) * z != u * w | u \ (x * z) = w. [para(142(a,1),282(a,1,1))]. 492 (x * y) / y != z * u | z \ x = u. [para(142(a,2),282(a,1))]. 495 x * (y \ (y * (x \ z))) != u * w | z / w = u. [para(4(a,2),283(a,1,2))]. 498 x * (y * (y \ z)) != u * w | (x * z) / w = u. [para(145(a,1),283(a,1,2))]. 499 x \ (x * y) != z * u | y / u = z. [para(145(a,2),283(a,1))]. 501 ((x / y) * y) / z != u | x / z = u. [para(74(a,1),284(a,1,1,2))]. 502 x \ (((x * y) / z) * z) != u * w | u \ y = w. [para(7(a,2),285(a,1,2))]. 504 x \ y != z * (u \ (u * (z \ w))) | x * w = y. [para(4(a,2),286(a,2,2))]. 505 x \ y != (z / u) * u | x * z = y. [para(74(a,1),286(a,2,2))]. 506 (x / y) \ x != z \ u | z * y = u. [para(173(a,2),286(a,2)),flip(a)]. 507 x * (y \ (y * z)) != u | x * z = u. [para(145(a,2),288(a,1,2))]. 508 K(x,y) != z | K(y,x) = z. [para(109(a,2),293(a,1))]. 509 (x * y) \ (y * x) != z | K(x,y) = z. [para(11(a,1),508(a,1))]. 510 T(x \ 1,y) / (x \ 1) != z | x * T(x \ 1,y) = z. [para(373(a,1),296(a,1))]. 512 L((x \ y) \ z,x \ y,x) != u | y \ (x * z) = u. [para(89(a,2),298(a,1))]. 513 T(x \ (x / y),z) = L(T(y \ 1,z),y,x / y). [para(329(a,1),20(a,2,1)),flip(a)]. 514 T((x \ y) / y,z) = R(T(1 / x,z),x,x \ y). [para(334(a,1),22(a,2,1)),flip(a)]. 515 R(T(1 / (x / y),z),x / y,y) = T(y / x,z). [para(335(a,1),22(a,2,1))]. 516 x * (y \ (y * (x \ z))) != u * w | u \ z = w. [para(4(a,2),341(a,1,2))]. 517 x * (y * (y \ (x \ z))) != u * w | u \ z = w. [para(5(a,2),341(a,1,2))]. 518 x * (y * (y \ z)) != u * w | u \ (x * z) = w. [para(145(a,1),341(a,1,2))]. 520 L(T(x \ 1,x),x,1 / x) = x \ 1. [hyper(58,a,20,a,b,348,a)]. 521 x / y != x * (1 / z) | L(z,1 / z,x) = y. [para(349(a,1),40(a,1)),flip(a)]. 522 x \ y != (x \ 1) * z | L(z,x \ 1,x) = y. [para(358(a,1),42(a,1)),flip(a)]. 523 R(x,1 / x,x) = T(x,1 / x). [hyper(32,a,403,a,b,360,a),flip(a)]. 524 R(L(x,y,z),1 / x,x) = L(T(x,1 / x),y,z). [para(523(a,1),24(a,2,1))]. 525 x / L(x,y,z) != u | (1 / L(x,y,z)) * x = u. [para(156(a,1),379(a,1,1))]. 526 (x \ y) / x != z | (1 / x) * (y / x) = z. [para(100(a,1),379(a,1,1))]. 527 L(x,y,z) / x != u | (1 / x) * L(x,y,z) = u. [para(159(a,1),379(a,1,1))]. 528 L(T((x \ 1) \ y,z),x \ 1,x) = T(x * y,z). [para(436(a,1),20(a,2,1))]. 529 L(L((x \ 1) \ y,z,u),x \ 1,x) = L(x * y,z,u). [para(436(a,1),25(a,1,1)),flip(a)]. 530 R(T((x * y) / x,x * y),x,y) = y. [hyper(58,a,22,a,b,464,a)]. 531 ((x / y) * y) * z != u * w | (x * z) / w = u. [para(142(a,1),467(a,1,1))]. 533 ((x / y) \ x) * z != u | y * z = u. [para(173(a,2),485(a,1,1))]. 534 (x * (x \ y)) / z != u * w | u \ (y / z) = w. [para(143(a,1),492(a,1,1))]. 536 x \ y != (((z / u) / w) * w) * u | x * z = y. [para(7(a,2),505(a,2,1))]. 537 x \ y != ((z / u) * u) * w | x * (z * w) = y. [para(142(a,1),505(a,2,1))]. 538 x \ y != (z * u) / u | x * z = y. [para(142(a,2),505(a,2))]. 541 x * ((y \ z) \ z) != u | x * T(y,y \ z) = u. [para(203(a,1),507(a,1,2,2))]. 543 ((x \ y) \ y) * z != u | T(x,x \ y) * z = u. [para(239(a,1),533(a,1,1,1))]. 544 x \ y != T(z,u) / u | x * ((1 / u) * z) = y. [para(365(a,2),538(a,2,1))]. 546 (x * y) \ ((z * x) * y) = R(T(z,x * y),x,y). [para(93(a,1),104(a,1,2))]. 547 x * (y * T(z,x * y)) = L(z,y,x) * (x * y). [hyper(58,a,87,a(flip),b,213,a)]. 548 x \ (L(y,z,x) * (x * z)) = z * T(y,x * z). [hyper(112,a,213,a(flip),b,87,a(flip))]. 549 x * L(x \ (y * x),z,u) = L(y,z,u) * x. [para(17(a,1),213(a,1,2,1))]. 550 L(x / y,z,u) * y = y * L(y \ x,z,u). [para(100(a,1),213(a,1,2,1)),flip(a)]. 551 L((x * y) / x,z,u) * x = x * L(y,z,u). [para(205(a,1),213(a,1,2,1)),flip(a)]. 552 (x \ y) * L((x \ y) \ y,z,u) = L(x,z,u) * (x \ y). [para(99(a,1),213(a,1,2,1))]. 553 (x * y) * R(T(z,x * y),x,y) = (z * x) * y. [hyper(272,a,93,a(flip),b,214,a),flip(a)]. 554 R(x / y,z,u) * y = y * R(y \ x,z,u). [para(100(a,1),214(a,1,2,1)),flip(a)]. 555 R((x * y) / x,z,u) * x = x * R(y,z,u). [para(205(a,1),214(a,1,2,1)),flip(a)]. 556 (x \ y) * R((x \ y) \ y,z,u) = R(x,z,u) * (x \ y). [para(99(a,1),214(a,1,2,1))]. 557 T(x / y,(z / y) \ z) = y \ x. [hyper(215,a,301,a,b,300,a)]. 558 T((x * y) / x,x * y) = L(y,x,(x * y) / x). [hyper(215,a,87,a(flip),b,135,a(flip))]. 559 (x * L(x \ y,z,u)) / x = L(y / x,z,u). [hyper(242,a,223,a)]. 560 T(L(R(x / y,y,z),u,w),y * z) = L((y * z) \ (x * z),u,w). [para(94(a,2),223(a,1,1,1))]. 561 (x * R(x \ y,z,u)) / x = R(y / x,z,u). [hyper(242,a,224,a)]. 562 T(x / (y * x),y) = R(y \ 1,y,x). [para(202(a,1),224(a,1,1))]. 563 T((x * y) / (z * y),z) = R(z \ x,z,y). [para(94(a,1),224(a,1,1))]. 564 R(x \ (y / z),x,z) = T(y / (x * z),x). [para(258(a,1),224(a,1,1)),flip(a)]. 565 R((x / y) \ 1,x / y,y) = T(y / x,x / y). [para(335(a,1),224(a,1,1)),flip(a)]. 566 R((1 / x) \ y,1 / x,x) = T(y * x,1 / x). [para(459(a,1),224(a,1,1)),flip(a)]. 567 (x / (y * x)) * y = y * R(y \ 1,y,x). [hyper(114,a,562,a(flip),b,17,a(flip)),flip(a)]. 568 x * R(x \ 1,x,y) != z | (y / (x * y)) * x = z. [para(562(a,1),248(a,1,2))]. 569 T(x,x \ y) * (((x \ y) \ y) \ z) = z. [hyper(127,a,266,a)]. 570 T(x,x \ y) != z | (x \ y) \ y = z. [para(314(a,1),190(a,1))]. 571 ((x \ y) \ y) \ z != u | T(x,x \ y) \ z = u. [para(314(a,1),287(a,1,2))]. 572 R(T(x,R(x,y,z) \ u),y,z) != w | (R(x,y,z) \ u) \ u = w. [para(22(a,2),570(a,1))]. 573 T(x \ y,T(x,x \ y)) != z | ((x \ y) \ y) \ y = z. [para(99(a,2),570(a,1,2))]. 574 K(x \ (x * y),x) = K(y,x). [hyper(272,a,82,a(flip),b,352,a)]. 575 K(x \ (x * y),z) = K(y,z). [para(63(a,1),574(a,1,1)),flip(a)]. 576 K((x / y) \ x,z) = K(y,z). [para(7(a,1),575(a,1,1,2))]. 577 (L(x,y,z) / x) / L(x,y,z) = 1 / x. [hyper(122,a,372,a)]. 578 (1 / x) * T((1 / x) \ y,z) = T(y * x,z) / x. [hyper(113,a,381,a(flip),b,365,a(flip)),flip(a)]. 579 ((x / y) * T(y,z)) / (x / y) = T(x / (x / y),z). [para(74(a,1),391(a,1,1,2,1))]. 580 T(x / y,z) * y != u | y * T(y \ x,z) = u. [para(391(a,1),227(a,1,1))]. 581 T(x / y,y) != z | y \ x = z. [para(391(a,1),281(a,1))]. 583 T(x,y) != z | y \ (x * y) = z. [para(6(a,1),581(a,1,1))]. 584 T(x * y,K(y,x)) != z | K(y,x) \ (y * x) = z. [para(168(a,1),581(a,1,1))]. 585 x * ((y * T(z,x)) / y) = ((y * z) / y) * x. [hyper(114,a,395,a,b,17,a(flip))]. 586 T((x * (y / z)) / x,z) = (x * (z \ y)) / x. [para(100(a,1),395(a,1,1,2)),flip(a)]. 587 T((x * y) / x,z) * x != u | x * T(y,z) = u. [para(395(a,1),227(a,1,1))]. 588 (x * (y * z)) \ ((x * y) * z) != u | a(x,y,z) = u. [para(79(a,1),287(a,1,2))]. 589 x * T(L(y,z \ x,z),u) = z * ((z \ x) * T(y,u)). [hyper(114,a,20,a(flip),b,88,a)]. 591 x * L(L(y,z,x / z),u,w) = (x / z) * (z * L(y,u,w)). [hyper(114,a,25,a,b,90,a)]. 592 L(T(x,y),y,z / y) = z \ ((z / y) * (x * y)). [para(98(a,1),90(a,1,2,2)),flip(a)]. 593 R(x,y / z,z) * y != u | (x * (y / z)) * z = u. [para(95(a,1),227(a,1,1))]. 594 L(x,y,z) != (L(u,y,z) \ w) \ w | T(u,L(u,y,z) \ w) = x. [para(99(a,1),132(a,1)),flip(a)]. 596 L(T(x,y),y,x) = T(x,x * y). [hyper(291,a,211,a),flip(a)]. 597 (x * y) \ (x * (z * y)) = T(L(z,y,x),y). [hyper(272,a,20,a(flip),b,211,a),flip(a)]. 598 T(L(x,y,x),y) = T(x,x * y). [hyper(58,a,20,a(flip),b,596,a)]. 599 x * T(y,y * x) = L(y,x,y) * x. [para(596(a,1),213(a,1,2))]. 600 (x * y) * R(L(T(x,y),y,x),z,u) = R(x,z,u) * (x * y). [para(596(a,2),214(a,1,2,1))]. 601 T(x,x * y) != T(z,y) | L(x,y,x) = z. [para(596(a,1),131(a,2)),flip(a)]. 602 T(L(x,x \ 1,x),x \ 1) = x. [hyper(272,a,185,a(flip),b,598,a),flip(a)]. 603 (x * T(y,y * x)) / x = L(y,x,y). [hyper(242,a,598,a)]. 604 T((x * y) / x,y * x) = L(y,x,y). [hyper(35,a,241,a,b,598,a)]. 605 T(x / y,(y \ x) * y) = L(y \ x,y,y \ x). [hyper(35,a,222,a,b,598,a)]. 606 T(L(L(x,y,x),z,u),y) = L(T(x,x * y),z,u). [para(598(a,1),20(a,1,1)),flip(a)]. 607 T(R(L(x,y,x),z,u),y) = R(T(x,x * y),z,u). [para(598(a,1),22(a,1,1)),flip(a)]. 608 x * L(T(y,y * x),z,u) = L(L(y,x,y),z,u) * x. [para(598(a,1),213(a,1,2,1))]. 609 T(x,y \ 1) != y | L(y,y \ 1,y) = x. [para(602(a,1),44(a,1)),flip(a)]. 610 T((T(x,y) * (1 / x)) / T(x,y),T(x,y) / x) = L(1 / x,T(x,y),1 / x). [para(373(a,1),604(a,1,2))]. 611 (x * y) * T((x * y) \ x,z) = x * (y * T(y \ 1,z)). [hyper(114,a,330,a,b,13,a(flip))]. 612 (x / y) * T(y \ x,z) != u | T(y \ x,z) * (x / y) = u. [para(305(a,1),342(a,1,2,1))]. 615 K(x,y) = L(x \ T(x,y),x,y). [hyper(272,a,11,a,b,386,a)]. 616 L(T(x \ T(y,z),u),x,z) = T((z * x) \ (y * z),u). [para(386(a,1),20(a,2,1))]. 618 T((x * y) \ (z * x),u) != L(w,y,x) | T(y \ T(z,x),u) = w. [para(386(a,1),132(a,1,1))]. 620 L(x \ y,x,y / x) = T(y / x,y). [hyper(215,a,137,a(flip),b,422,a),flip(a)]. 621 (x / y) \ (L(z,y,x / y) * x) = y * T(z,x). [hyper(112,a,213,a(flip),b,422,a(flip))]. 622 L(x \ y,x,(z * (z \ y)) / x) = T(y / x,y). [para(140(a,2),620(a,1,3))]. 623 x \ (y * L(z,x \ y,x)) != (x \ y) * u | z = u. [para(426(a,2),38(a,1))]. 624 L(T((x \ y) \ z,u),x \ y,x) = T(y \ (x * z),u). [para(437(a,1),20(a,2,1))]. 625 L(R((x \ y) \ z,u,w),x \ y,x) = R(y \ (x * z),u,w). [para(437(a,1),24(a,1,1)),flip(a)]. 626 x \ (y * z) != (u \ y) * z | R(u,u \ y,z) = x. [para(445(a,1),43(a,1)),flip(a)]. 627 L(R(x,y,y \ z),u,w) * z = (L(x,u,w) * y) * (y \ z). [para(24(a,1),447(a,1,1))]. 628 R(R(x,y,y \ z),u,w) * z = (R(x,u,w) * y) * (y \ z). [para(26(a,1),447(a,1,1))]. 630 R(T(x / (y / z),u),y / z,z) = T((x * z) / y,u). [para(463(a,1),22(a,2,1))]. 631 (1 / x) * ((x \ 1) * x) = x \ 1. [hyper(58,a,520,a(flip),b,478,a),flip(a)]. 632 T(L(x,y,1 / y),y) = (1 / y) * (x * y). [hyper(58,a,20,a(flip),b,478,a)]. 633 (1 / x) \ T(L(y,x,1 / x),x) = y * x. [hyper(112,a,20,a(flip),b,478,a(flip))]. 634 (1 / x) * K(x \ 1,x) = x \ 1. [para(232(a,2),631(a,1,2))]. 635 ((x \ 1) * x) * x = x * ((x \ 1) * x). [para(631(a,1),186(a,1,2,1)),flip(a)]. 636 K((x \ 1) \ 1,x \ 1) = x \ ((x \ 1) \ 1). [hyper(112,a,634,a(flip),b,165,a(flip)),flip(a)]. 637 ((x \ 1) * x) * x = L(x,x \ 1,x). [hyper(272,a,231,a(flip),b,635,a),flip(a)]. 638 T(x,(x \ 1) * x) = x. [hyper(216,a,635,a)]. 639 K(x \ 1,x) * x = L(x,x \ 1,x). [para(232(a,2),637(a,1,1))]. 640 T(T(x,y),y \ 1) != z | (x * y) * (y \ 1) = z. [para(378(a,1),486(a,1))]. 642 R(x,y,z) = T(((y * x) * z) / (y * z),y). [para(4(a,1),563(a,2,1)),flip(a)]. 643 T(R(x \ y,x,z),x * z) = T((x * z) \ (y * z),x). [para(563(a,1),222(a,1,1))]. 644 T(x / (y * z),y) * (y * z) = ((y \ (x / z)) * y) * z. [para(564(a,1),93(a,1,1))]. 645 (x / y) * R((x / y) \ 1,x / y,y) = (y / x) * (x / y). [para(7(a,1),567(a,1,1,2)),flip(a)]. 646 T(L(x,y \ z,y),y \ z) = z \ (y * (x * (y \ z))). [hyper(298,a,597,a),flip(a)]. 647 T((1 / x) * (x * y),x) = (1 / x) * (y * x). [para(233(a,2),632(a,1,1))]. 648 (1 / x) \ T((1 / x) * y,x) = (x \ y) * x. [para(435(a,1),633(a,1,2,1))]. 649 ((x * y) * T(y,x)) / (x * y) = R(y,x,y). [hyper(272,a,395,a,b,642,a)]. 650 T((x * y) \ ((x * z) * y),x) = T(R(z,x,y),x * y). [para(642(a,2),222(a,1,1)),flip(a)]. 651 T(R(x,y,x),y * x) = T(x,y). [para(642(a,2),241(a,1,1))]. 652 R(T(x,y * x),y,x) = T(x,y). [hyper(58,a,22,a,b,651,a)]. 653 L(R(x,y,x),z,u) * (y * x) = (y * x) * L(T(x,y),z,u). [para(651(a,1),213(a,1,2,1)),flip(a)]. 654 R(T(x,(x \ y) * x),x \ y,x) = (x \ y) \ y. [hyper(272,a,99,a(flip),b,652,a),flip(a)]. 655 (T(x,y * x) * y) * x = T(x,y) * (y * x). [para(652(a,1),93(a,1,1)),flip(a)]. 656 ((x \ 1) * x) * T(x,x \ 1) = x. [hyper(32,a,199,a(flip),b,649,a),flip(a)]. 657 (x * y) * T(y,x) = (y * x) * y. [hyper(32,a,15,a(flip),b,649,a),flip(a)]. 658 ((x \ 1) * x) * ((x \ 1) \ 1) = x. [hyper(58,a,269,a(flip),b,656,a)]. 659 K(x \ 1,x) * T(x,x \ 1) = x. [para(232(a,2),656(a,1,1))]. 660 (x * (y / x)) * x = y * T(x,y / x). [hyper(278,a,657,a),flip(a)]. 661 K(x \ 1,x) * ((x \ 1) \ 1) = x. [para(232(a,2),658(a,1,1))]. 662 R(T(T(x,y),z),u,w) = T(T(R(x,u,w),z),y). [hyper(272,a,22,a,b,105,a)]. 663 (1 / x) \ (((1 / x) * y) * z) = (y * (z * x)) / x. [hyper(401,a,106,a)]. 664 (((1 / x) * y) * z) * x = x \ (y * (z * x)). [hyper(117,a,106,a),flip(a)]. 665 (((1 / x) \ y) * z) / x = (1 / x) \ (y * (z / x)). [hyper(401,a,108,a),flip(a)]. 666 x \ (((1 / x) \ y) * z) = (y * (z / x)) * x. [hyper(117,a,108,a)]. 671 (x * y) * L(L(z,y,x),u,w) != v5 | x * (y * L(z,u,w)) = v5. [para(25(a,1),251(a,1,2))]. 672 T(x,1 / y) * y = ((1 / y) \ x) * 1. [hyper(58,a,108,a(flip),b,367,a),flip(a)]. 673 T(x,1 / y) * y = (1 / y) \ x. [hyper(272,a,3,a(flip),b,672,a),flip(a)]. 674 (1 / (x \ 1)) \ y = T(y,x) * (x \ 1). [para(72(a,1),673(a,1,1,2)),flip(a)]. 675 (1 / x) \ R(1 / x,y,z) = R(1 / x,y,z) * x. [para(160(a,1),673(a,1,1)),flip(a)]. 676 T(x,y) * (y \ 1) = y \ x. [para(72(a,1),674(a,1,1)),flip(a)]. 678 T(x,y) = (y \ x) / (y \ 1). [hyper(122,a,676,a),flip(a)]. 679 T(x,y) \ (y \ x) = y \ 1. [hyper(117,a,676,a)]. 680 T(x * y,x) = y / (x \ 1). [hyper(113,a,4,a(flip),b,676,a),flip(a)]. 681 T(T(x,y),z) * (y \ 1) = y \ T(x,z). [para(18(a,1),676(a,1,1))]. 683 x * (L(x,y,z) \ 1) = L(x,y,z) \ x. [para(156(a,1),676(a,1,1))]. 684 (x \ y) * (x \ 1) = x \ (y / x). [para(100(a,1),676(a,1,1))]. 685 T(x,y) * (x \ 1) = x \ T(x,y). [para(158(a,1),676(a,1,1))]. 686 L(x,y,z) * (x \ 1) = x \ L(x,y,z). [para(159(a,1),676(a,1,1))]. 687 R(x,y,z) * (x \ 1) = x \ R(x,y,z). [para(160(a,1),676(a,1,1))]. 688 (x / y) * ((y \ x) \ 1) = (y \ x) \ (x / y). [para(226(a,1),676(a,1,1))]. 689 T(x \ y,z) * (x \ 1) = x \ T(y / x,z). [para(222(a,1),676(a,1,1))]. 690 T(x,y) * (y \ 1) != z | y \ x = z. [para(678(a,2),227(a,1,1))]. 691 x \ (T(x,y) \ x) = T(x,y) \ 1. [para(157(a,1),679(a,1,1))]. 692 x \ (L(x,y,z) \ x) = L(x,y,z) \ 1. [para(156(a,1),679(a,1,1))]. 693 x \ ((x * y) * x) = y / (x \ 1). [hyper(583,a,680,a)]. 694 x * T(y * z,y) = x * (z / (y \ 1)). [hyper(114,a,680,a,b,4,a)]. 695 (x * ((x \ 1) * y)) * (x \ 1) = y / ((x \ 1) \ 1). [hyper(58,a,378,a,b,680,a)]. 696 x * (y / (x \ 1)) = (x * y) * x. [hyper(114,a,680,a(flip),b,17,a(flip))]. 697 T(x,y) != z / (y \ 1) | y * z = x. [para(680(a,1),44(a,1)),flip(a)]. 699 T(T(x * y,x),x \ 1) != z | (x \ 1) \ y = z. [para(680(a,2),581(a,1,1))]. 700 T(x \ T(x,y),x \ 1) = x \ T(x,y). [hyper(58,a,383,a,b,685,a)]. 702 T(x,y) != T(y,z) \ 1 | (T(y,z) \ y) / y = x. [para(691(a,1),225(a,2))]. 703 (x * (y * (x \ 1))) * x = x * y. [hyper(538,a,693,a),flip(a)]. 704 x / (y \ 1) != z | T(y * x,y) = z. [para(693(a,1),291(a,1))]. 705 ((1 / x) * y) * (1 / x) = (1 / x) * (y / x). [para(74(a,1),696(a,1,2,2)),flip(a)]. 707 T(T(x,y),z) * (y \ 1) != u | y \ T(x,z) = u. [para(18(a,1),690(a,1,1))]. 708 x * (L(x,y,z) \ 1) != u | L(x,y,z) \ x = u. [para(156(a,1),690(a,1,1))]. 709 (x \ y) * (x \ 1) != z | x \ (y / x) = z. [para(100(a,1),690(a,1,1))]. 711 x * (L(T(x,y),z,u) \ 1) != w | L(T(x,y),z,u) \ x = w. [para(198(a,1),690(a,1,1))]. 712 L(x,y,z) * (x \ 1) != u | x \ L(x,y,z) = u. [para(159(a,1),690(a,1,1))]. 714 T(x \ 1,x \ T(x,y)) = x \ 1. [hyper(49,a,700,a)]. 715 T(x \ 1,T(x,y) * (x \ 1)) = x \ 1. [para(685(a,2),714(a,1,2))]. 716 R(x \ 1,T(x,y),x \ 1) = T(x \ 1,T(x,y)). [para(715(a,1),652(a,1,1))]. 717 (x \ y) \ ((x \ y) / (y / x)) = T(1 / (y / x),x \ y). [hyper(359,a,xx,b,370,a),flip(a)]. 718 ((x / y) \ x) / (x / (x / y)) = (1 / (x / (x / y))) * y. [para(74(a,1),370(a,1,2)),flip(a)]. 720 T(x * T(x \ 1,y),x) = x * T(x \ 1,y). [hyper(704,a,405,a)]. 721 ((x \ 1) \ y) / (x \ 1) = (x * y) * x. [hyper(272,a,696,a(flip),b,408,a),flip(a)]. 722 T(x * ((x \ 1) \ y),x) = (x * y) * x. [hyper(704,a,721,a)]. 723 ((x * y) * x) * (x \ 1) = (x \ 1) \ y. [hyper(125,a,721,a)]. 725 (1 / x) \ (x * y) = x * ((x \ 1) \ y). [hyper(382,a,722,a)]. 726 T(x * T(y,x \ 1),x) = (x * (y * (x \ 1))) * x. [para(17(a,2),722(a,1,1,2))]. 727 (x \ 1) \ y != z * (x \ 1) | (x * y) * x = z. [para(723(a,1),39(a,1))]. 729 (x * y) * z != x | L(y \ 1,y,x) = z. [para(65(a,1),429(a,2))]. 730 (x * y) * z != y * (T(x,y) * u) | L(u,T(x,y),y) = z. [para(98(a,1),429(a,1,1))]. 731 K(x \ 1,x) * y != (x \ 1) * (x * z) | L(z,x,x \ 1) = y. [para(232(a,2),429(a,1,1))]. 732 (x * y) \ (y * (T(x,y) * z)) != u | L(z,T(x,y),y) = u. [para(98(a,1),430(a,1,1))]. 733 (x * (y * z)) \ (x * (y * (z * u))) != w | L(L(u,z,y),y * z,x) = w. [para(87(a,1),430(a,1,2,2))]. 734 (x * (y * (z * u))) \ (x * ((y * z) * u)) != w | L(a(y,z,u),y * (z * u),x) = w. [para(79(a,1),430(a,1,2,2))]. 735 L(x,x \ 1,x) != y | x * K(x \ 1,x) = y. [para(308(a,1),441(a,1,1))]. 737 ((x * y) * T(z,y)) / (z * y) != u | R(x,y,T(z,y)) = u. [para(98(a,1),457(a,1,2))]. 738 L((x * y) / x,z,u) = (x * L(y,z,u)) / x. [hyper(122,a,551,a),flip(a)]. 739 L(((x * y) * z) / (x * y),y,x) = (x * (y * z)) / (x * y). [hyper(113,a,87,a(flip),b,551,a),flip(a)]. 740 R((x * y) / x,z,u) = (x * R(y,z,u)) / x. [hyper(122,a,555,a),flip(a)]. 741 L(x / y,z,u) * y != w | y * L(y \ x,z,u) = w. [para(559(a,1),227(a,1,1))]. 742 L((x \ y) / z,z,x) = (z * ((x * z) \ y)) / z. [para(254(a,1),559(a,1,1,2)),flip(a)]. 743 ((x \ y) * (y \ x)) / (x \ y) = L(1 / (x \ y),x \ y,x). [para(327(a,1),559(a,1,1,2))]. 744 R(x / y,z,u) * y != w | y * R(y \ x,z,u) = w. [para(561(a,1),227(a,1,1))]. 745 ((x * (y / z)) / x) * z = z * ((x * (z \ y)) / x). [para(100(a,1),585(a,1,2,1,2)),flip(a)]. 746 (x * ((y * (x \ z)) / y)) / x = (y * (z / x)) / y. [hyper(242,a,586,a)]. 747 (x \ ((1 / x) \ y)) * x = (1 / x) \ T(y,x). [para(5(a,1),648(a,1,2,1)),flip(a)]. 748 T(T(x,y * x) * y,x) = x \ (T(x,y) * (y * x)). [hyper(359,a,xx,b,655,a)]. 749 (x \ (y * (z * x))) / x = ((1 / x) * y) * z. [hyper(122,a,664,a)]. 750 (x \ (y * (z * x))) / x != u | ((1 / x) * y) * z = u. [para(664(a,1),279(a,1,1))]. 752 (x * (y / (z \ 1))) * (z \ 1) = (z \ 1) \ ((z \ x) * y). [para(72(a,1),666(a,1,2,1,1)),flip(a)]. 754 (x \ 1) \ (1 / x) = T(x,x \ 1) / x. [hyper(58,a,406,a,b,688,a),flip(a)]. 755 (x \ (x * y)) \ ((x * y) / x) = ((x * y) / x) * (y \ 1). [para(4(a,1),688(a,1,2,1)),flip(a)]. 756 (x \ 1) * T(x \ 1,y) = x \ T(1 / x,y). [hyper(344,a,689,a)]. 757 ((1 / x) * y) * (1 / x) = (x \ y) / x. [hyper(272,a,376,a(flip),b,705,a),flip(a)]. 758 T(x,x * T(x \ 1,y)) = x. [hyper(49,a,720,a)]. 759 (x * y) * ((z * L(u,y,x)) / z) = x * (y * ((z * u) / z)). [hyper(114,a,738,a(flip),b,13,a(flip))]. 760 L((x * y) / x,z,u) * x != w | x * L(y,z,u) = w. [para(738(a,2),227(a,1,1))]. 761 L((x * (y \ 1)) / x,y,z / y) = (x * (z \ (z / y))) / x. [para(329(a,1),738(a,2,1,2))]. 762 L((x * ((y \ z) \ u)) / x,y \ z,y) = (x * (z \ (y * u))) / x. [para(437(a,1),738(a,2,1,2))]. 763 (x * y) * ((z * L(u,y,x)) / z) != w | x * (y * ((z * u) / z)) = w. [para(738(a,1),251(a,1,2))]. 764 R((x * (1 / y)) / x,y,z) = (x * (z / (y * z))) / x. [para(202(a,1),740(a,2,1,2))]. 765 ((x * R(y,z,u)) / x) * (z * u) = (((x * y) / x) * z) * u. [para(740(a,1),93(a,1,1))]. 766 R((x * (y / (1 / z))) / x,1 / z,z) = (x * (y * z)) / x. [para(459(a,1),740(a,2,1,2))]. 767 ((x * R(y,z,u)) / x) * (z * u) != w | (((x * y) / x) * z) * u = w. [para(740(a,1),247(a,1,1))]. 769 (1 / x) * ((y * (z * x)) / x) = ((1 / x) * y) * z. [hyper(526,a,749,a)]. 770 (x * (y * (z \ 1))) / (z \ 1) = z \ (((1 / (z \ 1)) * x) * y). [hyper(112,a,749,a(flip),b,408,a(flip)),flip(a)]. 771 ((1 / x) * y) * (z / x) = (x \ (y * z)) / x. [para(7(a,1),749(a,1,1,2,2)),flip(a)]. 772 x / y != ((1 / y) * z) * u | y \ (z * (u * y)) = x. [para(749(a,1),41(a,1)),flip(a)]. 773 (((1 / x) * y) * z) * x != u | x \ (y * (z * x)) = u. [para(749(a,1),227(a,1,1))]. 774 ((1 / x) * y) * (z / x) = (1 / x) * ((y * z) / x). [hyper(272,a,376,a,b,771,a),flip(a)]. 775 ((1 / x) * y) \ ((x \ (y * z)) / x) = z / x. [hyper(117,a,771,a)]. 776 ((1 / x) * y) \ ((x \ z) / x) = (y \ z) / x. [para(5(a,1),775(a,1,2,1,2))]. 777 ((1 / x) * y) \ (z / x) = (y \ (x * z)) / x. [para(66(a,1),775(a,1,2,1))]. 778 (x * y) \ (y * T(x,y / x)) = a(x,y / x,x). [para(660(a,1),80(a,1,2))]. 779 (x * y) * L(L(z,T(x,y),y),u,w) = y * (T(x,y) * L(z,u,w)). [hyper(114,a,25,a,b,210,a)]. 780 (x * y) * R((y * T(x,y)) \ y,z,u) = y * (T(x,y) * R(T(x,y) \ 1,z,u)). [hyper(114,a,331,a,b,210,a)]. 781 (x * y) * R((x * y) \ x,z,u) = x * (y * R(y \ 1,z,u)). [hyper(114,a,331,a,b,13,a(flip))]. 782 R(x / (y * x),z,u) != R(w,y,x) | R(1 / y,z,u) = w. [para(336(a,1),46(a,1))]. 783 R(x / (y * x),z,u) * (y * x) = (R(1 / y,z,u) * y) * x. [para(336(a,1),93(a,1,1))]. 784 (x * y) * T((x * y) \ (x * z),u) = x * (y * T(y \ z,u)). [para(89(a,1),364(a,1,2,1))]. 785 (x * y) * T((x * y) \ z,u) = x * (y * T(y \ (x \ z),u)). [para(254(a,1),364(a,1,2,1))]. 786 (x * y) * T(T(x,x * y),z) = x * (y * T(T(x,y),z)). [para(596(a,1),364(a,1,2,1))]. 787 L(T(T(x,y) \ z,u),T(x,y),y) = T((x * y) \ (y * z),u). [para(98(a,1),439(a,1,1,1)),flip(a)]. 788 (x * y) * T((x * y) \ (x * z),u) != w | x * (y * T(y \ z,u)) = w. [para(439(a,2),251(a,1,2))]. 789 T(R(x,y,T(z,y)),u) * (z * y) = (T(x,u) * y) * T(z,y). [para(98(a,1),450(a,1,2))]. 790 T((x * y) / (z * y),u) * (z * y) = (T(x / z,u) * z) * y. [para(94(a,1),450(a,1,1,1))]. 791 T(R(x,y,T(x,y)),x * y) = T(x,y). [hyper(215,a,455,a,b,xx)]. 794 T(R(x,y,T(x,y)),z) * (x * y) = (x * y) * T(T(x,y),z). [para(791(a,1),212(a,1,2,1)),flip(a)]. 795 ((x / y) * y) / z != u * w | (x / z) / w = u. [para(7(a,1),482(a,1,1,1,1))]. 796 (x * (x \ y)) * z != u * w | u \ (y * z) = w. [para(72(a,1),491(a,1,1,1))]. 798 x * (y \ (y * z)) != u * w | (x * z) / w = u. [para(4(a,1),495(a,1,2,2,2))]. 799 x \ y != z * (u \ (u * w)) | x * (z * w) = y. [para(4(a,1),504(a,2,2,2,2))]. 800 T((x \ y) / y,z) * y = (T(1 / x,z) * x) * (x \ y). [para(514(a,2),447(a,1,1))]. 801 (T(1 / (x / y),z) * (x / y)) * y = T(y / x,z) * x. [para(515(a,1),448(a,1,1)),flip(a)]. 802 x * (y \ (y * z)) != u * w | u \ (x * z) = w. [para(4(a,1),516(a,1,2,2,2))]. 803 x * (y * (y \ z)) != u * w | T(u,w) = w \ (x * z). [para(98(a,1),518(a,2)),flip(b)]. 804 L(T(x,1 / x),y,z) / x = L(x,y,z) * (1 / x). [hyper(113,a,524,a(flip),b,237,a)]. 805 (x \ 1) * T((x \ 1) \ y,z) = x \ T(x * y,z). [hyper(112,a,528,a(flip),b,231,a),flip(a)]. 806 (x * (x \ y)) * z != u * w | (y * z) / w = u. [para(72(a,1),531(a,1,1,1))]. 807 x * y != z | x \ (u / (z \ u)) = y. [para(6(a,1),534(a,1)),flip(a)]. 809 x \ (L(y,z,x) * (x * z)) != z * u | T(y,x * z) = u. [para(548(a,2),38(a,1))]. 810 (x * y) \ ((z * x) * y) != u | R(T(z,x * y),x,y) = u. [para(553(a,1),287(a,1,2))]. 811 R(L(x,y,(y * x) / y),y,x) = x. [para(558(a,1),530(a,1,1))]. 812 L(x,y,(y * x) / y) * y = y * T(x,y * x). [para(558(a,1),390(a,1,1))]. 813 R(x,y,z) != z | L(z,y,(y * z) / y) = x. [para(811(a,1),46(a,1)),flip(a)]. 814 x \ ((L(x,y,(y * x) / y) * y) * x) = y * x. [para(811(a,1),166(a,1,1))]. 815 T(x,y) * (x \ z) != u | (x \ z) * T((x \ z) \ z,y) = u. [para(72(a,1),580(a,1,1,1))]. 816 x \ ((x / y) * ((y \ 1) * y)) = T(x \ (x / y),y). [hyper(58,a,513,a,b,592,a),flip(a)]. 817 (x / y) * ((y \ 1) * y) = x * T(x \ (x / y),y). [hyper(114,a,513,a,b,592,a(flip)),flip(a)]. 818 T(1 / x,K(x \ 1,x)) = L(x \ 1,x,x \ 1). [para(232(a,2),605(a,1,2))]. 819 T(R(L(x,y,x),z,u),y) = T(R(x,z,u),x * y). [hyper(272,a,22,a(flip),b,607,a),flip(a)]. 820 T(x,y) != R(T(z,z * y),u,w) | R(L(z,y,z),u,w) = x. [para(607(a,1),44(a,1)),flip(a)]. 821 (x / y) \ ((x \ (x / y)) * x) = y * T(y \ 1,x). [para(329(a,1),621(a,1,2,1))]. 822 R(x,x \ 1,x) = (x \ 1) \ 1. [para(638(a,1),654(a,1,1))]. 823 x / K(x \ 1,x) = (x \ 1) \ 1. [hyper(58,a,474,a,b,822,a)]. 824 ((x \ 1) \ 1) \ x = K(x \ 1,x). [hyper(172,a,823,a)]. 825 L((x \ (y * (x * z))) / z,z,x) = (z * T(y,x * z)) / z. [para(17(a,2),742(a,2,1,2))]. 826 L((x \ y) / z,z,x) != u / z | z * ((x * z) \ y) = u. [para(742(a,2),41(a,1))]. 827 (x * (x \ y)) * z != u * w | T(u,w) = w \ (y * z). [para(98(a,1),796(a,2)),flip(b)]. 830 T(L(x,y,(y * x) / y) * y,x) = y * x. [hyper(291,a,814,a)]. 831 T(x * T(y,x * y),y) = x * y. [para(812(a,1),830(a,1,1))]. 832 x * T(y,x * y) = (1 / y) \ x. [hyper(382,a,831,a),flip(a)]. 833 T(x * T(T(y,x),x * T(y,x)),T(y,x)) = y * x. [hyper(272,a,98,a(flip),b,831,a),flip(a)]. 834 T(x,y * x) = y \ ((1 / x) \ y). [hyper(117,a,832,a),flip(a)]. 835 x \ ((y * (x * y)) / y) = T(y,x * y). [hyper(112,a,380,a,b,832,a)]. 837 R(L(x,y,x),y,T(x,y)) = x. [hyper(35,a,791,a(flip),b,819,a),flip(a)]. 838 L(R(x,y,T(x,y)),y,x) = x. [hyper(58,a,24,a(flip),b,837,a)]. 839 x \ T(y * x,y) = R(y,x,T(y,x)). [hyper(434,a,838,a)]. 840 L(x,y,z) != z | R(z,y,T(z,y)) = x. [para(838(a,1),45(a,1)),flip(a)]. 841 x * R(y,x,T(y,x)) = T(y * x,y). [hyper(127,a,839,a)]. 842 x * R(y / x,x,T(y / x,x)) = T(y,y / x). [para(7(a,1),841(a,2,1))]. 843 x * R(y / x,x,x \ y) = T(y,y / x). [para(100(a,1),842(a,1,2,3))]. 844 x * ((y * (x \ y)) / y) = T(y,y / x). [para(462(a,1),843(a,1,2))]. 845 x \ T(y,y / x) = (y * (x \ y)) / y. [hyper(117,a,844,a)]. 846 (x / y) * ((x * y) / x) = T(x,x / (x / y)). [para(74(a,1),844(a,1,2,1,2))]. 847 (x * y) * ((x * L(y \ 1,y,x)) / x) = T(x,x / (x * y)). [para(200(a,2),844(a,1,2,1,2))]. 848 (x * y) * L((x \ y) / y,y,x) = T(y,y / (x * y)). [para(742(a,2),844(a,1,2))]. 849 T(x \ T(y,y / x),y) = x \ y. [para(845(a,2),205(a,1,1))]. 851 T((x \ y) \ T(y,x),y) = (x \ y) \ y. [para(72(a,1),849(a,1,1,2,2))]. 852 (x * R(x \ 1,y,z)) * x = x * (x * R(x \ 1,y,z)). [hyper(114,a,411,a(flip),b,693,a),flip(a)]. 853 ((x * y) / x) * (z * x) = x * (((y / x) * z) * x). [para(7(a,1),415(a,1,1,1,2))]. 854 (1 / x) * T((1 / x) \ 1,y) = T(x,y) / x. [para(2(a,1),578(a,2,1,1))]. 855 T(1 / (1 / x),y) * (1 / x) = T(x,y) / x. [hyper(393,a,854,a)]. 856 T(1 / x,T(x,y) / x) = 1 / x. [para(854(a,1),758(a,1,2))]. 857 T((x * (1 / y)) / x,T(y,z) / y) = (x * (1 / y)) / x. [para(856(a,1),395(a,1,1,2)),flip(a)]. 858 ((x / y) * ((y \ z) \ z)) / (x / y) = T(x / (x / y),y \ z). [para(99(a,1),579(a,1,1,2))]. 859 (x * (y * z)) \ ((x * z) * T(y,z)) != u | a(x,z,T(y,z)) = u. [para(98(a,1),588(a,1,1,2))]. 860 (1 / x) \ y != (z * (u * x)) / x | ((1 / x) * z) * u = y. [para(663(a,1),42(a,1)),flip(a)]. 862 (1 / x) \ R(1 / x,y,z) = x * R(x \ 1,y,z). [hyper(272,a,554,a(flip),b,675,a),flip(a)]. 863 (1 / x) * ((y / (x * y)) * x) = R(1 / x,x,y). [hyper(114,a,332,a(flip),b,675,a)]. 865 T(x * T(y,x \ 1),x) = x * y. [hyper(272,a,703,a(flip),b,726,a),flip(a)]. 866 T(x,y) != y * z | y * T(z,y \ 1) = x. [para(865(a,1),44(a,1)),flip(a)]. 867 T(x * L(x \ 1,y,z),x) = x * L(x \ 1,y,z). [para(159(a,1),865(a,1,1,2))]. 868 T(x,x / y) / y = (x * (x / y)) / x. [hyper(113,a,844,a(flip),b,745,a)]. 869 T(T(x,x / y) / y,x) = x / y. [para(868(a,2),205(a,1,1))]. 870 T(T(x,x / (y \ x)) / (y \ x),x) = y. [hyper(272,a,72,a(flip),b,869,a),flip(a)]. 871 T(T(x,y) / (y \ x),x) = y. [para(72(a,1),870(a,1,1,1,2))]. 873 T(x,y) / (y \ x) = (x * y) / x. [hyper(242,a,871,a),flip(a)]. 874 T(T(R(x,y,y \ 1),x * y) / (y \ 1),R(x,y,y \ 1)) = x * y. [para(357(a,1),871(a,1,1,2))]. 875 T(x,y) = ((x * y) / x) * (y \ x). [hyper(125,a,873,a),flip(a)]. 876 ((x * R(1 / y,y,x)) / x) * (y * x) = T(x,R(1 / y,y,x)). [para(333(a,1),875(a,2,2)),flip(a)]. 877 ((x * R(y,y \ 1,x)) / x) * ((y \ 1) * x) = T(x,R(y,y \ 1,x)). [para(351(a,1),875(a,2,2)),flip(a)]. 878 ((x * (y / z)) / x) * z != u | z * ((x * (z \ y)) / x) = u. [para(746(a,1),227(a,1,1))]. 879 (1 / x) * y != ((1 / x) * z) * u | (z * (u * x)) / x = y. [para(769(a,1),38(a,1)),flip(a)]. 881 (1 / x) * y != ((1 / x) * z) * (u / x) | (z * u) / x = y. [para(774(a,2),38(a,1)),flip(a)]. 882 (x \ 1) * T((x \ 1) \ 1,y) = x \ T(x,y). [para(3(a,1),805(a,2,2,1))]. 883 (x \ 1) * T((x \ 1) \ (x \ y),z) = x \ T(y,z). [para(5(a,1),805(a,2,2,1))]. 884 x \ ((x / (1 / y)) * K(y,1 / y)) = T(x \ (x / (1 / y)),1 / y). [para(309(a,1),816(a,1,2,2))]. 885 (x / y) * K(y \ 1,y) = x * T(x \ (x / y),y). [para(232(a,2),817(a,1,2))]. 886 K(x \ (x / y),x) = y * T(y \ 1,x). [hyper(398,a,821,a)]. 887 K(x \ (x / (y \ 1)),x) = y \ T(y,x). [hyper(272,a,882,a(flip),b,886,a),flip(a)]. 888 K(x \ (x / (1 / y)),x) = T(y,x) / y. [hyper(272,a,854,a(flip),b,886,a),flip(a)]. 889 K(x \ (x / y),x) / y = T(1 / y,x). [hyper(113,a,886,a,b,389,a)]. 890 T(x,y) = K(y \ (y / (1 / x)),y) * x. [hyper(125,a,888,a(flip)),flip(a)]. 891 K(x \ (x / (1 / (y / (x * y)))),x) = R(x \ 1,x,y) / (y / (x * y)). [para(562(a,1),888(a,2,1))]. 892 K((x * y) \ x,x * y) / y = T(1 / y,x * y). [para(6(a,1),889(a,1,1,1,2))]. 893 T(x * T(T(y,x),y * x),T(y,x)) = y * x. [para(98(a,1),833(a,1,1,2,2))]. 894 T(T(x,x * y) * y,T(x,y)) = x * y. [para(212(a,1),893(a,1,1))]. 895 T(x,x * L(x \ 1,y,z)) = x. [hyper(49,a,867,a)]. 896 T(x \ y,(x \ y) * (y \ x)) = x \ y. [para(327(a,1),895(a,1,2,2))]. 897 T(x,x * (y \ (y / x))) = x. [para(329(a,1),895(a,1,2,2))]. 898 (L(x \ 1,y,z) * x) / L(x \ 1,y,z) = L(x,L(x \ 1,y,z),x). [para(895(a,1),603(a,1,1,2))]. 899 ((x \ (x / y)) * y) / (x \ (x / y)) = L(y,x \ (x / y),y). [para(897(a,1),603(a,1,1,2))]. 900 ((x \ y) * (y \ x)) / (x \ y) = L(y \ x,x \ y,y \ x). [para(896(a,1),603(a,1,1,2))]. 901 (x * y) * L((x * y) \ x,z,u) = x * (y * L(y \ 1,z,u)). [para(200(a,1),361(a,1,2,1))]. 902 (x * y) * L((x * y) \ z,u,w) = x * (y * L(y \ (x \ z),u,w)). [para(254(a,1),361(a,1,2,1))]. 903 (x * y) * L(T(x,x * y),z,u) = x * (y * L(T(x,y),z,u)). [para(596(a,1),361(a,1,2,1))]. 904 (x * y) * z != x * (y * R(u,w,v5)) | R(L(u,y,x),w,v5) = z. [para(362(a,1),38(a,1)),flip(a)]. 905 (x * y) * R((x * y) \ z,u,w) = x * (y * R(y \ (x \ z),u,w)). [para(254(a,1),362(a,1,2,1))]. 906 L(R(x,x,y),z,u) * (x * y) = (x * L(x,z,u)) * y. [para(219(a,1),451(a,2,1))]. 907 L((x * y) / (z * y),u,w) * (z * y) = (L(x / z,u,w) * z) * y. [para(94(a,1),451(a,1,1,1))]. 908 (L((x / y) / z,u,w) * z) * y = L(x / (z * y),u,w) * (z * y). [para(258(a,1),451(a,1,1,1)),flip(a)]. 909 (R(x,(y * z) / u,u) * y) * z = (R(x,y,z) * ((y * z) / u)) * u. [hyper(593,a,452,a),flip(a)]. 910 R((x * y) / (z * y),u,w) * (z * y) = (R(x / z,u,w) * z) * y. [para(94(a,1),452(a,1,1,1))]. 911 (x \ 1) * R((x \ 1) \ y,z,u) = x \ R(x * y,z,u). [para(436(a,1),475(a,1,2,1)),flip(a)]. 912 (1 / x) \ L(1 / x,y,z) = x * L(x \ 1,y,z). [para(326(a,1),477(a,1,2,1))]. 913 (1 / x) \ L(x \ 1,y,z) = x * L(T(x \ 1,x),y,z). [para(520(a,1),477(a,1,2,1))]. 914 R(x / (1 / y),z,u) * (1 / y) = R(x * y,z,u) / y. [para(459(a,1),480(a,1,1,1)),flip(a)]. 915 (x \ 1) * L((x \ 1) \ y,z,u) = x \ L(x * y,z,u). [hyper(112,a,529,a(flip),b,231,a),flip(a)]. 916 x * ((x \ y) * T((x \ y) \ 1,z)) = y * T(y \ x,z). [para(327(a,1),589(a,1,2,1)),flip(a)]. 917 x * ((x \ y) * T((x \ y) \ z,u)) = y * T(y \ (x * z),u). [para(437(a,1),589(a,1,2,1)),flip(a)]. 918 T((x * y) \ (y * x),y \ 1) = L(y \ T(y,x),y,x). [para(700(a,1),616(a,1,1)),flip(a)]. 919 x \ (y * T(y \ (x * z),u)) = (x \ y) * T((x \ y) \ z,u). [para(624(a,1),426(a,1,2,2))]. 920 (T(x / (y / z),u) * (y / z)) * z = T((x * z) / y,u) * y. [para(630(a,1),448(a,1,1)),flip(a)]. 921 T((x * y) \ ((x * z) * y),x) = R(T(z,x * y),x,y). [hyper(272,a,22,a,b,650,a),flip(a)]. 922 ((x * (y / (z * y))) / x) * (z * y) = (((x * (1 / z)) / x) * z) * y. [para(764(a,1),93(a,1,1))]. 923 ((x * ((y \ z) / (y * (y \ z)))) / x) * z = (((x * (1 / y)) / x) * y) * (y \ z). [para(764(a,1),447(a,1,1))]. 924 T(x,y) * y != z | y \ (x * (y * y)) = z. [para(365(a,2),773(a,1,1))]. 925 x \ T(y,y / (x * y)) = y * ((x \ y) / y). [hyper(112,a,848,a(flip),b,87,a(flip))]. 926 x \ T(y,R(1 / x,x,y)) = y * ((x \ y) / y). [para(202(a,2),925(a,1,2,2))]. 927 x \ T(x,R(1 / x,x,x)) = x * (1 / x). [para(61(a,1),926(a,2,2,1))]. 928 K(x,y) = T((y * x) \ (x * y),x \ 1). [hyper(272,a,615,a,b,918,a)]. 929 T(K(x,y),x \ 1) = K(x,y). [para(11(a,2),928(a,2,1)),flip(a)]. 930 T(x \ 1,K(x,y)) = x \ 1. [hyper(49,a,929,a)]. 931 x * T(x \ 1,K(x,y)) = 1. [hyper(114,a,930,a,b,xx)]. 932 T(x \ 1,K(y,x)) = x \ 1. [para(28(a,1),930(a,1,2))]. 933 K(x,y) * (x \ 1) != z | (x \ 1) * K(x,y) = z. [para(930(a,1),248(a,1,2))]. 935 T(1 / x,K(x,y)) = 1 / x. [hyper(113,a,931,a(flip),b,389,a),flip(a)]. 936 T(K(x,y),y \ 1) = K(x,y). [hyper(49,a,932,a)]. 937 T(1 / x,K(y,x)) = 1 / x. [para(28(a,1),935(a,1,2))]. 938 T(x / y,K(y / x,z)) = R(1 / (y / x),y / x,x). [para(935(a,1),515(a,1,1)),flip(a)]. 939 T(K(x,1 / y),y) = K(x,1 / y). [para(74(a,1),936(a,1,2))]. 940 L(x \ 1,x,x \ 1) = 1 / x. [hyper(58,a,818,a(flip),b,937,a)]. 942 ((x \ 1) * x) * (1 / x) = x \ 1. [hyper(114,a,940,a(flip),b,200,a(flip))]. 943 (x \ 1) / (1 / x) = (x \ 1) * x. [para(940(a,1),328(a,1,2))]. 944 (1 / x) * K(y,1 / x) = K(y,1 / x) / x. [hyper(113,a,939,a(flip),b,365,a(flip)),flip(a)]. 945 K(x \ 1,x) * (1 / x) = x \ 1. [para(232(a,2),942(a,1,1))]. 946 T(1 / (1 / x),x \ 1) = x. [hyper(215,a,370,a,b,943,a(flip))]. 947 L(x,x \ 1,x) = 1 / (1 / x). [hyper(609,a,946,a)]. 948 T(T(1 / (1 / x),y),x \ 1) = T(x,y). [para(946(a,1),18(a,1,1)),flip(a)]. 949 T(1 / x,(x \ 1) \ 1) = x \ 1. [para(72(a,1),946(a,1,1,2))]. 950 T(1 / (1 / (1 / x)),x) = 1 / x. [para(74(a,1),946(a,1,2))]. 951 T(x,x \ 1) / x = x * (1 / x). [para(946(a,1),855(a,1,1)),flip(a)]. 952 x * K(x \ 1,x) = 1 / (1 / x). [hyper(735,a,947,a)]. 953 K(x \ 1,x) * x = 1 / (1 / x). [hyper(58,a,639,a,b,947,a)]. 954 (1 / (1 / x)) / x = K(x \ 1,x). [hyper(113,a,947,a(flip),b,639,a)]. 955 x \ (1 / (1 / x)) = K(x \ 1,x). [hyper(112,a,947,a(flip),b,476,a)]. 956 L(x \ 1,(x \ 1) \ 1,x \ 1) = 1 / x. [para(72(a,1),947(a,2,2))]. 957 T(x,y) != 1 / (1 / T(z,y)) | L(z,T(z,y) \ 1,T(z,y)) = x. [para(947(a,1),131(a,2))]. 958 (x \ 1) * L(y,1 / x,K(x \ 1,x)) = K(x \ 1,x) * ((1 / x) * y). [para(945(a,1),87(a,1,1))]. 959 L((1 / x) \ y,1 / x,K(x \ 1,x)) = (x \ 1) \ (K(x \ 1,x) * y). [para(945(a,1),89(a,2,1))]. 960 R(1 / x,y,z) * ((x \ 1) \ 1) = ((x \ 1) \ 1) * R(x \ 1,y,z). [para(949(a,1),214(a,1,2,1)),flip(a)]. 961 (1 / (1 / (1 / x))) * x = x * (1 / x). [hyper(114,a,950,a(flip),b,17,a(flip)),flip(a)]. 962 (x \ 1) \ (1 / x) = x * (1 / x). [hyper(58,a,754,a,b,951,a)]. 963 T(x,1 / x) = (x \ 1) \ 1. [hyper(215,a,951,a(flip),b,406,a(flip))]. 964 (x \ 1) * (x * (1 / x)) = 1 / x. [hyper(114,a,951,a(flip),b,754,a)]. 966 T(1 / x,1 / (1 / x)) = x \ 1. [para(74(a,1),963(a,2,1))]. 969 ((1 / (1 / x)) * y) / (K(x \ 1,x) * y) != z | R(x,K(x \ 1,x),y) = z. [para(952(a,1),457(a,1,1,1))]. 970 (x * K(y \ 1,y)) \ (x * (1 / (1 / y))) != z | L(y,K(y \ 1,y),x) = z. [para(953(a,1),430(a,1,2,2))]. 971 (1 / x) * (1 / (1 / x)) = K(x \ 1,x). [hyper(58,a,418,a,b,954,a)]. 972 R(1 / x,x,1 / x) = x \ 1. [hyper(350,a,962,a)]. 974 R(x / (y * x),y,1 / y) = R(y \ 1,y,x). [para(972(a,1),336(a,1,1)),flip(a)]. 975 R(x,y \ 1,y * (1 / y)) * (1 / y) = (x * (y \ 1)) * (y * (1 / y)). [hyper(114,a,964,a(flip),b,166,a)]. 976 L(1 / x,y,z) * (1 / (1 / x)) = (1 / (1 / x)) * L(x \ 1,y,z). [para(966(a,1),213(a,1,2,1)),flip(a)]. 977 L(1 / x,y,z) * (1 / (1 / x)) = L(x \ 1,y,z) / (1 / x). [para(966(a,1),804(a,1,1,1)),flip(a)]. 978 ((x \ 1) \ 1) * R(x \ 1,y,z) = (x \ 1) \ R(1 / x,y,z). [para(956(a,1),475(a,1,2,1)),flip(a)]. 979 R(x \ 1,x,y) * (x * (1 / x)) = ((y / (x * y)) * x) * (1 / x). [para(974(a,1),93(a,1,1))]. 980 T(x / y,K(y / x,z)) = x / y. [hyper(272,a,335,a(flip),b,938,a),flip(a)]. 981 T(x \ y,K(x / y,z)) = T(y / x,x). [para(980(a,1),222(a,1,1)),flip(a)]. 982 T(x \ y,K(x / y,z)) = x \ y. [hyper(272,a,100,a(flip),b,981,a),flip(a)]. 983 (x \ 1) * y != (x \ z) * (u * (x \ 1)) | (z * u) * (x \ 1) = y. [para(171(a,1),38(a,1)),flip(a)]. 985 (x \ 1) * L((x \ 1) \ 1,y,z) = x \ L(x,y,z). [hyper(272,a,686,a(flip),b,552,a),flip(a)]. 986 (x \ 1) * L((x \ 1) \ 1,y,z) != u | x \ L(x,y,z) = u. [para(552(a,2),712(a,1))]. 987 (x \ 1) * R((x \ 1) \ 1,y,z) = x \ R(x,y,z). [hyper(272,a,687,a(flip),b,556,a),flip(a)]. 988 (x * y) * T((x * y) \ z,x) = ((x \ (z / y)) * x) * y. [hyper(580,a,644,a)]. 989 ((x \ (y / z)) * x) * z != u | (x * z) * T((x * z) \ y,x) = u. [para(644(a,1),580(a,1))]. 991 K(T(1 / (1 / x),x \ 1),x \ 1) = T(x,x \ 1) / x. [para(717(a,1),888(a,1,1))]. 992 (1 / (x / (x / y))) * y = y / (x / (x / y)). [para(74(a,1),718(a,1,1)),flip(a)]. 993 x / (1 / (1 / x)) = x * (1 / x). [hyper(58,a,961,a(flip),b,992,a),flip(a)]. 994 L(x,1 / x,x) = 1 / (1 / x). [hyper(521,a,993,a)]. 995 (x * (1 / x)) * (1 / (1 / x)) = x. [hyper(125,a,993,a)]. 996 (x \ 1) \ ((x \ y) * (x \ z)) = (y * T(z,x)) * (x \ 1). [para(678(a,2),752(a,1,1,2)),flip(a)]. 997 ((x * y) / x) * (y \ 1) = y \ ((x * y) / x). [para(4(a,1),755(a,1,1)),flip(a)]. 998 (x \ 1) * ((y * T(x,x \ 1)) / y) = x \ ((y * x) / y). [hyper(58,a,585,a,b,997,a)]. 999 x * (y * T(T(x,y),z)) = T(x,z) * (x * y). [hyper(342,a,786,a),flip(a)]. 1000 T(x,y) * (x * z) = x * (T(x,y) * z). [para(212(a,1),999(a,1,2)),flip(a)]. 1001 x \ (T(x,y) * z) = T(x,y) * (x \ z). [hyper(518,a,1000,a)]. 1002 T(T(x,y),x * (T(x,y) \ z)) = (x * (T(x,y) \ z)) \ (x * z). [hyper(359,a,137,a(flip),b,1000,a)]. 1003 x * (T(x,y) * (x \ z)) = T(x,y) * z. [hyper(288,a,1000,a),flip(a)]. 1004 T(x,y) * (x * (T(x,y) \ z)) = x * z. [hyper(272,a,137,a(flip),b,1000,a),flip(a)]. 1005 x * (T(x,y) \ (x \ z)) = T(x,y) \ z. [hyper(112,a,68,a(flip),b,1000,a),flip(a)]. 1006 (T(x,y) * x) \ (x * (T(x,y) * z)) = L(z,x,T(x,y)). [hyper(112,a,1000,a(flip),b,87,a)]. 1007 (x / y) * (T(x / y,z) * y) = T(x / y,z) * x. [para(7(a,1),1000(a,1,2)),flip(a)]. 1009 x * (T(x,y) * T(z,x)) = T(x,y) * (z * x). [para(98(a,1),1000(a,1,2)),flip(a)]. 1010 (x / y) * (T(x / y,y) * z) = (y \ x) * ((x / y) * z). [para(100(a,1),1000(a,1,1)),flip(a)]. 1011 (T(x,y) * z) \ (x * (T(x,y) * z)) = L(T(x,z),z,T(x,y)). [para(1000(a,1),211(a,1,2))]. 1012 x \ (T(x,y) * (x / z)) = T(x,y) * L(z \ 1,z,x / z). [para(329(a,2),1001(a,2,2))]. 1013 T(x,x \ y) * (x \ (((x \ y) \ y) \ z)) = x \ z. [para(569(a,1),1001(a,1,2)),flip(a)]. 1014 T(x,y) * z != x * u | T(x,y) * (x \ z) = u. [para(1003(a,1),38(a,1))]. 1015 x \ (T(x,y) * z) != u | T(x,y) * (x \ z) = u. [para(1003(a,1),287(a,1,2))]. 1016 T(x,y) * z != x * u | x * (T(x,y) \ u) = z. [para(1004(a,1),38(a,1)),flip(a)]. 1017 T(x,y) \ (x \ z) = x \ (T(x,y) \ z). [hyper(117,a,1005,a),flip(a)]. 1018 (x / y) \ (T(x / y,z) \ x) = T(x / y,z) \ y. [para(74(a,1),1017(a,1,2)),flip(a)]. 1019 T(x,y) * T(T(x,y) \ x,x) = L(x,T(x,y) \ x,T(x,y)). [hyper(29,a,363,a,b,1009,a),flip(a)]. 1021 x \ (T(x,y) * (z * x)) != u | T(x,y) * T(z,x) = u. [para(1009(a,1),287(a,1,2))]. 1022 T(x,y) * ((T(x,y) \ 1) * x) = x * K(x \ (x / T(x,y)),x). [para(886(a,2),1009(a,1,2)),flip(a)]. 1024 (x / y) * (y * T(y \ x,z)) = T(x / y,z) * x. [para(389(a,1),1007(a,1,2))]. 1026 (x * T(x,y)) \ (x * (T(x,y) * z)) = L(z,x,T(x,y)). [para(218(a,1),1006(a,1,1))]. 1027 L(x,T(x,y) \ x,T(x,y)) != z | T(x,y) * T(T(x,y) \ x,x) = z. [para(88(a,1),1021(a,1))]. 1028 T(T(x,y * x) * y,x) != z | T(x,y) * T(y,x) = z. [para(748(a,2),1021(a,1))]. 1029 L(x,y,T(y,z)) != u | L(x,T(y,z),y) = u. [para(1026(a,1),430(a,1))]. 1030 T((x \ y) / y,z) * y = (x * T(x \ 1,z)) * (x \ y). [para(389(a,1),800(a,2,1))]. 1031 (T(1 / (x / y),z) * (x / y)) * y = x * T(x \ y,z). [hyper(272,a,389,a(flip),b,801,a),flip(a)]. 1032 T(x,x * R(x \ 1,y,z)) = x. [hyper(216,a,852,a)]. 1033 (1 / x) \ L(x \ 1,y,z) = L(x \ 1,y,z) * x. [hyper(272,a,213,a(flip),b,913,a),flip(a)]. 1034 L((x \ y) \ 1,x \ y,x) * (x \ y) = (1 / (x \ y)) \ (y \ x). [para(327(a,1),1033(a,1,2)),flip(a)]. 1035 (1 / x) * R((1 / x) \ y,z,u) = R(y * x,z,u) / x. [hyper(744,a,914,a)]. 1036 (x \ y) * T((x \ y) \ 1,z) = x \ (y * T(y \ x,z)). [hyper(117,a,916,a),flip(a)]. 1037 (x \ y) * T((x \ y) \ 1,y) = x \ ((y \ x) * y). [hyper(112,a,98,a(flip),b,916,a),flip(a)]. 1038 x * T(x \ y,y \ x) = y * K((y \ x) \ 1,y \ x). [para(307(a,1),916(a,1,2)),flip(a)]. 1039 x * T(x \ y,z) = y * K(z \ (z / (y \ x)),z). [para(886(a,2),916(a,1,2)),flip(a)]. 1040 K(x,y) = ((y * x) \ y) * T(((y * x) \ y) \ 1,y). [hyper(272,a,352,a,b,1037,a)]. 1041 K(x \ (x / (y \ z)),x) = y \ (z * T(z \ y,x)). [hyper(112,a,1039,a,b,xx),flip(a)]. 1042 (x \ y) * K(z \ (z / ((x \ y) \ (x \ 1))),z) = x \ T(y,z). [hyper(58,a,883,a(flip),b,1039,a),flip(a)]. 1043 (x * (y * z)) * T((x * (y * z)) \ (x * y),u) = (x * y) * K(u \ (u / L(z,y,x)),u). [para(13(a,2),1039(a,2,2,1,2,2))]. 1044 K((x * (y \ z)) \ x,x * (y \ z)) = y \ (z * T(z \ y,x * (y \ z))). [para(6(a,1),1041(a,1,1,2))]. 1045 K(x \ (x / T(y,z)),x) = z \ ((y * z) * T((y * z) \ z,x)). [para(17(a,2),1041(a,1,1,2,2))]. 1046 K(x \ (x / (y \ (y / z))),x) = y \ ((y / z) * T(z,x)). [para(74(a,1),1041(a,2,2,2,1))]. 1048 T(x,x \ 1) / x = K(x,x \ 1). [para(946(a,1),991(a,1,1)),flip(a)]. 1049 K(x,x \ 1) * x = T(x,x \ 1). [hyper(125,a,1048,a)]. 1050 K(x,x \ 1) = x * (1 / x). [hyper(58,a,951,a(flip),b,1048,a),flip(a)]. 1051 ((x \ 1) \ 1) / x = K(x,x \ 1). [hyper(58,a,268,a(flip),b,1048,a)]. 1052 K(x,1 / x) = K(x,x \ 1). [hyper(272,a,234,a,b,1050,a)]. 1053 K(1 / x,(1 / x) \ 1) = K(x \ 1,x). [hyper(272,a,971,a(flip),b,1050,a),flip(a)]. 1054 T(x,y) \ K(x,x \ 1) = x * (T(x,y) \ (1 / x)). [hyper(112,a,1050,a,b,1004,a)]. 1056 K(x,x \ 1) * (x \ 1) = 1 / x. [para(1050(a,2),409(a,1,1))]. 1057 K(x,x \ 1) * (1 / (1 / x)) = x. [para(1050(a,2),995(a,1,1))]. 1058 K((x / y) \ x,1 / y) = K(y,y \ 1). [hyper(58,a,576,a,b,1052,a)]. 1059 K(x \ 1,(x \ 1) \ 1) = K(x \ 1,x). [para(72(a,1),1052(a,1,2)),flip(a)]. 1060 K(x,x \ 1) * x = (x \ 1) \ 1. [hyper(272,a,99,a(flip),b,1049,a),flip(a)]. 1061 T(x,x \ 1) * y != K(x,x \ 1) * (x * z) | L(z,x,K(x,x \ 1)) = y. [para(1049(a,1),429(a,1,1))]. 1062 x * L(y,1 / (1 / x),K(x,x \ 1)) = K(x,x \ 1) * ((1 / (1 / x)) * y). [para(1057(a,1),87(a,1,1))]. 1065 K(1 / x,x) = K(x \ 1,x). [para(74(a,1),1053(a,1,2))]. 1066 ((x \ 1) \ 1) \ x = K(1 / x,x). [hyper(272,a,824,a,b,1065,a)]. 1067 x * K(1 / x,x) = 1 / (1 / x). [hyper(114,a,1065,a,b,955,a)]. 1068 (x * y) * K(1 / y,y) != z * (1 / (1 / y)) | R(x,y,K(1 / y,y)) = z. [para(1067(a,1),453(a,2,2))]. 1069 K(1 / (1 / x),1 / x) = K(x,x \ 1). [hyper(58,a,1065,a,b,1058,a)]. 1070 K(1 / (1 / x),(y / (1 / x)) \ y) = K(x,x \ 1). [para(74(a,2),1069(a,1,2))]. 1071 (x \ 1) * ((y * ((x \ 1) \ 1)) / y) = x \ ((y * x) / y). [para(99(a,1),998(a,1,2,1,2))]. 1072 (x / y) * ((y \ x) * z) = (y \ x) * ((x / y) * z). [para(100(a,1),1010(a,1,2,1))]. 1073 (1 / x) \ (((x \ 1) * ((1 / x) * y)) * z) = (((x \ 1) * y) * (z * x)) / x. [para(1072(a,1),663(a,1,2,1))]. 1074 (x \ (y \ x)) * x = (y * T(y \ 1,x)) * (y \ x). [para(100(a,1),1030(a,1,1))]. 1076 (((x / y) \ 1) * (x / y)) * y = x * T(x \ y,x / y). [para(100(a,1),1031(a,1,1,1))]. 1077 ((x / y) * T((x / y) \ 1,z)) * y = x * T(x \ y,z). [para(389(a,1),1031(a,1,1))]. 1078 x \ (y * K((y \ x) \ 1,y \ x)) = T(x \ y,y \ x). [hyper(117,a,1038,a)]. 1079 (x * y) * K(((x * y) \ x) \ 1,(x * y) \ x) = x * T(y,(x * y) \ x). [para(4(a,1),1038(a,1,2,1)),flip(a)]. 1080 K((x / y) \ 1,x / y) * y = x * T(x \ y,x / y). [para(232(a,2),1076(a,1,1))]. 1081 (x / y) * T((x / y) \ 1,z) = (x * T(x \ y,z)) / y. [hyper(122,a,1077,a),flip(a)]. 1082 K(x \ (x / (y / z)),x) * z = y * T(y \ z,x). [para(886(a,2),1077(a,1,1))]. 1083 K(x \ (x / (y / z)),x) = (y * T(y \ z,x)) / z. [hyper(122,a,1082,a),flip(a)]. 1084 K(x \ (x / R(y,z,u)),x) = (((y * z) * u) * T(((y * z) * u) \ (z * u),x)) / (z * u). [para(15(a,2),1083(a,1,1,2,2))]. 1085 K((x / (y * x)) \ 1,x / (y * x)) * (y * x) = T(y,x / (y * x)) * x. [hyper(272,a,355,a(flip),b,1080,a),flip(a)]. 1086 (x / y) * (y * L(y \ z,u,w)) = x * L(x \ ((x / y) * z),u,w). [para(438(a,1),591(a,1,2,1)),flip(a)]. 1087 x * (y * R(T(x,y),z,u)) = R(x,z,u) * (x * y). [hyper(58,a,362,a(flip),b,600,a)]. 1088 R(x,y,z) * (x * u) = x * (R(x,y,z) * u). [para(214(a,1),1087(a,1,2)),flip(a)]. 1089 (R(x,y,z) * (x \ u)) \ (R(x,y,z) * u) = T(x,R(x,y,z) * (x \ u)). [hyper(803,a,1088,a),flip(a)]. 1090 x \ (R(x,y,z) * u) = R(x,y,z) * (x \ u). [hyper(518,a,1088,a)]. 1091 (R(x,y,z) * u) / (R(x,y,z) * (x \ u)) = x. [hyper(498,a,1088,a)]. 1092 R(x,y,z) \ (x * u) = x * (R(x,y,z) \ u). [hyper(112,a,137,a(flip),b,1088,a)]. 1093 R(x,y,z) * (x \ (y * z)) = x \ ((x * y) * z). [para(93(a,1),1090(a,1,2)),flip(a)]. 1094 R(x,y,x) * (x \ (y * x)) = T(x * y,x). [hyper(272,a,17,a,b,1093,a),flip(a)]. 1095 R(x,y,z) = (x \ ((x * y) * z)) / (x \ (y * z)). [hyper(122,a,1093,a),flip(a)]. 1096 R(x,y,x) * T(y,x) = T(x * y,x). [para(17(a,2),1094(a,1,2))]. 1097 x \ T(y * z,y) != T(z,y) | R(y,z,y) = x. [para(1096(a,1),129(a,1,2))]. 1098 x \ (y * R(y \ (x * z),u,w)) = (x \ y) * R((x \ y) \ z,u,w). [para(625(a,1),426(a,1,2,2))]. 1099 L((x \ y) / y,z,u) * y = (L(1 / x,z,u) * x) * (x \ y). [para(334(a,1),627(a,1,1,1))]. 1100 T(x / y,(y / x) * (x / y)) = x / y. [para(645(a,1),1032(a,1,2))]. 1101 R(x / y,y / x,x / y) = T(x / y,y / x). [para(1100(a,1),652(a,1,1))]. 1102 R((x / y) \ 1,x / y,y) = R(y / x,x / y,y / x). [hyper(272,a,565,a,b,1101,a)]. 1103 R(x / (y * x),(y * x) / x,x / (y * x)) = R(y \ 1,(y * x) / x,x). [para(6(a,1),1102(a,1,1,1)),flip(a)]. 1104 (x * y) * L(T(y,x),z,u) = (L(y,z,u) * x) * y. [hyper(58,a,451,a(flip),b,653,a),flip(a)]. 1105 L(((x * y) * z) / (x * y),y,x) != u / (x * y) | x * (y * z) = u. [para(739(a,2),41(a,1))]. 1106 L(1 / (x \ (x / y)),x \ (x / y),x) = ((x \ (x / y)) * y) / (x \ (x / y)). [para(74(a,1),743(a,1,1,2)),flip(a)]. 1107 (x * y) * ((z * ((x * y) \ x)) / z) = x * (y * ((z * (y \ 1)) / z)). [para(200(a,1),759(a,1,2,1,2))]. 1108 (x * y) * ((z * ((x * y) \ u)) / z) = x * (y * ((z * (y \ (x \ u))) / z)). [para(254(a,1),759(a,1,2,1,2))]. 1109 (x / y) * (y * ((z * (y \ 1)) / z)) = x * ((z * (x \ (x / y))) / z). [hyper(114,a,761,a(flip),b,90,a),flip(a)]. 1110 (((x * ((y / z) / u)) / x) * u) * z = ((x * (y / (u * z))) / x) * (u * z). [para(258(a,1),765(a,1,1,1,2)),flip(a)]. 1111 ((x * (y / (1 / z))) / x) * (1 / z) = ((x * (y * z)) / x) / z. [hyper(113,a,766,a(flip),b,237,a),flip(a)]. 1112 (x * y) * T((x * y) \ (y * z),u) = y * (T(x,y) * T(T(x,y) \ z,u)). [hyper(114,a,787,a(flip),b,210,a)]. 1113 (T(x,y) * z) * T(x,z) = (x * z) * T(T(x,z),y). [hyper(58,a,789,a(flip),b,794,a)]. 1114 T(T(x,x \ 1),y) / T(x,x \ 1) = T(x,y) * (x \ 1). [hyper(113,a,64,a(flip),b,1113,a)]. 1116 T(T(x,x \ 1),y) / T(x,x \ 1) = x \ T(x,y). [hyper(272,a,685,a(flip),b,1114,a),flip(a)]. 1117 L((x \ (y * (x * z))) / z,z,x) = T((z * y) / z,x * z). [hyper(272,a,395,a(flip),b,825,a),flip(a)]. 1118 x \ T(x,x / (x * y)) = y * ((x * (y \ 1)) / x). [hyper(112,a,847,a(flip),b,759,a(flip))]. 1119 x \ y != z * ((x * (z \ 1)) / x) | T(x,x / (x * z)) = y. [para(1118(a,1),42(a,1)),flip(a)]. 1120 L(x \ y,y \ x,x \ y) = L(1 / (y \ x),y \ x,y). [hyper(58,a,743,a(flip),b,900,a),flip(a)]. 1121 x * L(x \ y,y \ x,x \ y) = y * ((y \ x) * (1 / (y \ x))). [hyper(114,a,1120,a,b,88,a)]. 1122 L(T(x,y),y,T(x,z)) = T(x,T(x,z) * y). [hyper(291,a,1011,a),flip(a)]. 1123 T(L(x,y,T(x,z)),y) = T(x,T(x,z) * y). [hyper(58,a,20,a(flip),b,1122,a)]. 1124 (x * T(y,T(y,z) * x)) / x = L(y,x,T(y,z)). [hyper(242,a,1123,a)]. 1125 R(x,y,z * u) != ((w * z) * u) / (y * (z * u)) | R(w,z,u) / y = x. [para(465(a,1),46(a,1)),flip(a)]. 1128 (x * (y * (z \ 1))) / (z \ 1) = z \ ((z * x) * y). [para(72(a,1),770(a,2,2,1,1))]. 1130 (x \ ((x * y) * z)) * (x \ 1) = y * (z * (x \ 1)). [hyper(125,a,1128,a)]. 1132 x \ (((x * y) * z) / x) = y * (z * (x \ 1)). [hyper(709,a,1130,a)]. 1133 x * (y * (z * (x \ 1))) = ((x * y) * z) / x. [hyper(114,a,1130,a(flip),b,684,a(flip))]. 1134 (x * (y * (z \ 1))) / (z \ 1) != u | z \ ((z * x) * y) = u. [para(1130(a,1),279(a,1,1))]. 1135 x * (y * (z \ 1)) != u | z \ (((z * x) * y) / z) = u. [para(1130(a,1),709(a,1))]. 1136 (x \ y) * (z * (x \ 1)) = x \ ((y * z) / x). [para(5(a,1),1132(a,1,2,1,1)),flip(a)]. 1137 (x \ 1) * (y * (x \ 1)) = x \ (y / x). [para(64(a,1),1132(a,1,2,1)),flip(a)]. 1138 x * (y * (z * (x \ 1))) != u | ((x * y) * z) / x = u. [para(1132(a,1),230(a,1,2))]. 1139 x \ (((x * y) * z) / x) = (y * z) * (a(x,y,z) * (x \ 1)). [para(79(a,1),1132(a,1,2,1))]. 1141 x \ y != (x \ 1) * (z * (x \ 1)) | z / x = y. [para(1137(a,2),42(a,1)),flip(a)]. 1143 x \ (((x * y) * z) / x) != u | y * (z * (x \ 1)) = u. [para(1133(a,1),287(a,1,2))]. 1144 ((x * y) * T(z,x)) / x = x * (y * (x \ z)). [para(676(a,1),1133(a,1,2,2)),flip(a)]. 1145 ((x * y) * L(x,z,u)) / x = x * (y * (x \ L(x,z,u))). [para(686(a,1),1133(a,1,2,2)),flip(a)]. 1146 x \ y != (x \ z) * (u * (x \ 1)) | (z * u) / x = y. [para(1136(a,2),42(a,1)),flip(a)]. 1147 (x / y) \ ((x * z) / (x / y)) != u | y * (z * ((x / y) \ 1)) = u. [para(1136(a,1),533(a,1))]. 1148 x \ ((y * T(z,x)) / x) = (x \ y) * (x \ z). [para(676(a,1),1136(a,1,2)),flip(a)]. 1149 x \ ((y * T(x,z)) / x) = (x \ y) * (x \ T(x,z)). [para(685(a,1),1136(a,1,2)),flip(a)]. 1150 x \ ((y * L(x,z,u)) / x) = (x \ y) * (x \ L(x,z,u)). [para(686(a,1),1136(a,1,2)),flip(a)]. 1151 (x * (y * (x \ z))) * x = (x * y) * T(z,x). [hyper(125,a,1144,a)]. 1152 x * ((x \ y) * (x \ z)) = (y * T(z,x)) / x. [para(5(a,1),1144(a,1,1,1)),flip(a)]. 1153 x * ((x \ 1) * (x \ y)) = T(y,x) / x. [para(64(a,1),1144(a,1,1)),flip(a)]. 1154 (x * (y * (x \ z))) * x != u | (x * y) * T(z,x) = u. [para(1144(a,1),227(a,1,1))]. 1155 x \ ((1 / x) * y) = (x \ 1) * (x \ y). [hyper(112,a,369,a(flip),b,1153,a)]. 1157 (x * T(y * z,y)) / y = y * ((y \ x) * z). [hyper(799,a,1148,a),flip(a)]. 1158 (x * y) * T(x * z,x) = (x * (y * z)) * x. [para(4(a,1),1151(a,1,1,2,2)),flip(a)]. 1159 (x * x) * T(y,x) = (x * y) * x. [para(5(a,1),1151(a,1,1,2)),flip(a)]. 1161 (x * (y / x)) * x = (x * x) * (x \ y). [para(100(a,1),1159(a,1,2)),flip(a)]. 1162 (x * (((1 / y) * z) * y)) / y = y * ((y \ x) * (y \ z)). [para(365(a,1),1152(a,2,1,2)),flip(a)]. 1163 (x * ((x \ y) * z)) * x = y * T(x * z,x). [hyper(125,a,1157,a)]. 1164 (x * (y / (z \ 1))) / z = z * ((z \ x) * y). [para(680(a,1),1157(a,1,1,2))]. 1165 (x * y) \ ((x * (y * z)) * x) = T(x * z,x). [hyper(117,a,1158,a)]. 1167 x * T(y * T(z,y \ x),y) = (y * (z * (y \ x))) * y. [para(98(a,1),1163(a,1,1,2)),flip(a)]. 1168 x / y != y * ((y \ z) * u) | z * (u / (y \ 1)) = x. [para(1164(a,1),41(a,1)),flip(a)]. 1169 (1 / x) * (((1 / x) \ y) * z) = (y * (z / x)) / (1 / x). [para(74(a,1),1164(a,1,1,2,2)),flip(a)]. 1170 T(x * (y \ (x \ z)),x) = (x * y) \ (z * x). [para(68(a,1),1165(a,1,2,1)),flip(a)]. 1171 (x \ (y \ z)) / (y \ 1) = (y * x) \ (z * y). [hyper(58,a,680,a(flip),b,1170,a)]. 1172 (x * (y * T(z,x))) * x != u | (x * y) * T(z * x,x) = u. [para(17(a,2),1154(a,1,1,2,2))]. 1173 x * T(y * T(z,y \ x),y) = (y * z) * T(x,y). [hyper(272,a,1151,a(flip),b,1167,a),flip(a)]. 1174 x \ ((x * (y / z)) / (1 / z)) = L(y,(1 / z) \ x,1 / z). [hyper(112,a,1169,a(flip),b,363,a)]. 1175 (x * (y / z)) / (1 / z) != (1 / z) * u | ((1 / z) \ x) * y = u. [para(1169(a,1),38(a,1))]. 1176 (x * y) * (a(z,x,y) * (z \ 1)) = x * (y * (z \ 1)). [hyper(1143,a,1139,a),flip(a)]. 1177 a(x,y,z) * (x \ 1) = L(x \ 1,z,y). [hyper(429,a,1176,a),flip(a)]. 1178 a(x,y,z) = x * L(x \ 1,z,y). [hyper(30,a,410,a,b,1177,a),flip(a)]. 1179 L(x \ 1,y,z) != u * (x \ 1) | a(x,z,y) = u. [para(1177(a,1),39(a,1))]. 1180 a(x,y,z) = (1 / x) \ L(1 / x,z,y). [hyper(272,a,912,a,b,1178,a),flip(a)]. 1181 a(x \ 1,y,z) = x \ L(x,z,y). [hyper(272,a,985,a(flip),b,1178,a),flip(a)]. 1182 (1 / x) * a(x,y,z) = L(1 / x,z,y). [hyper(114,a,1178,a,b,912,a)]. 1183 L(x,y,z) = x * a(x \ 1,z,y). [hyper(114,a,1178,a,b,985,a(flip)),flip(a)]. 1184 L(x \ 1,y,z) = x \ a(x,z,y). [hyper(112,a,1178,a,b,xx),flip(a)]. 1186 T(x,a(x,y,z)) = x. [para(1178(a,2),895(a,1,2))]. 1187 a(x \ 1,y,z) != u | x \ L(x,z,y) = u. [para(1178(a,2),986(a,1))]. 1188 T(a(x,y,z),x) = a(x,y,z). [hyper(49,a,1186,a)]. 1189 a(x,y,z) * x = x * a(x,y,z). [hyper(114,a,1186,a(flip),b,17,a(flip))]. 1191 R(x,y,z) * a(x,u,w) = a(x,u,w) * R(x,y,z). [para(1186(a,1),214(a,1,2,1)),flip(a)]. 1192 (x * (y * z)) \ ((x * y) * z) = T(a(x,y,z),x). [hyper(272,a,9,a(flip),b,1188,a)]. 1193 K(a(x,y,z),x) = 1. [hyper(50,a,1188,a)]. 1195 x / a(y \ 1,z,u) = x / (y \ L(y,u,z)). [hyper(55,a,1181,a)]. 1196 L(x,y,z) / a(x \ 1,z,y) = x. [hyper(178,a,1181,a(flip))]. 1197 a(x \ 1,y,z) != u \ L(x,z,y) | x = u. [para(1181(a,2),43(a,1))]. 1198 x * a(x \ 1,y,z) != u | L(x,z,y) = u. [para(1181(a,2),230(a,1,2))]. 1199 x \ L(x,y,z) != u | a(x \ 1,z,y) = u. [para(1183(a,2),287(a,1,2))]. 1200 (x * y) \ (x * L(y,z,u)) != w | L(a(y \ 1,u,z),y,x) = w. [para(1183(a,2),430(a,1,2,2))]. 1201 L(x \ 1,y,z) \ u = (x \ a(x,z,y)) \ u. [hyper(56,a,1184,a)]. 1202 L(x \ 1,y,z) != x \ u | a(x,z,y) = u. [para(1184(a,2),42(a,1))]. 1203 L(x,y,z) = (1 / x) \ a(1 / x,z,y). [para(74(a,1),1184(a,1,1))]. 1204 x * L(x \ 1,y,z) != u | a(x,z,y) = u. [para(1184(a,2),230(a,1,2))]. 1205 x \ y != z * L(z \ 1,u,w) | x * a(z,w,u) = y. [para(1184(a,2),286(a,2,2))]. 1207 L(1 / x,y,z) * x = T(a(x,z,y),x). [para(1180(a,2),368(a,1,1)),flip(a)]. 1208 (1 / x) \ (L(1 / x,y,z) * (u / x)) = (a(x,z,y) * u) / x. [para(1180(a,2),665(a,1,1,1)),flip(a)]. 1209 (1 / x) \ L(1 / x,y,z) != u | a(x,z,y) = u. [para(1182(a,1),287(a,1,2))]. 1210 T(a(x,y,z),x) != u | x * L(x \ 1,z,y) = u. [para(1207(a,1),741(a,1))]. 1211 T((x * (y * z)) \ ((x * y) * z),x) = (x * (y * z)) \ ((x * y) * z). [para(9(a,1),1192(a,2,1)),flip(a)]. 1212 a(x,y,z) != u | x * L(x \ 1,z,y) = u. [para(1188(a,1),1210(a,1))]. 1213 (x * y) * R((x * y) \ y,z,u) = (R(1 / x,z,u) * x) * y. [hyper(744,a,783,a)]. 1214 ((x \ ((x * y) / z)) * x) * z = x * (z * T(z \ y,x)). [hyper(58,a,988,a(flip),b,784,a)]. 1215 x * (y * T(y \ (x \ z),x)) = ((x \ (z / y)) * x) * y. [para(5(a,1),1214(a,1,1,1,2,1)),flip(a)]. 1216 x * (x * T(x \ T(y,x),x)) = ((x \ y) * x) * x. [para(206(a,1),1214(a,1,1,1,2)),flip(a)]. 1217 x * ((x \ T(y,x)) * x) = ((x \ y) * x) * x. [para(98(a,1),1216(a,1,2))]. 1218 T((x \ y) * x,x) = (x \ T(y,x)) * x. [hyper(216,a,1217,a)]. 1219 T((x \ y) * x,x) / x = x \ T(y,x). [hyper(113,a,1218,a,b,xx)]. 1220 x * (T((x \ y) * x,x) / x) = T(y,x). [para(1218(a,2),71(a,1,2,1))]. 1221 T(x * y,y) / y = y \ T(y * x,y). [para(4(a,1),1219(a,1,1,1,1))]. 1222 (x \ T(y,x)) * x != z | T((x \ y) * x,x) = z. [para(1219(a,1),227(a,1,1))]. 1224 x \ T(x * (y / x),x) = T(y,x) / x. [para(76(a,1),1219(a,1,1,1)),flip(a)]. 1226 x * ((1 / x) * T((1 / x) \ y,x)) = T(x * y,x). [hyper(114,a,578,a,b,1221,a(flip))]. 1227 x \ T(x * T((x * y) / x,z),x) = T(x * T(y,z),x) / x. [para(390(a,1),1221(a,1,1,1)),flip(a)]. 1228 T(x * (y * (1 / x)),x) = x * (T(y,x) * (1 / x)). [para(355(a,1),1226(a,1,2)),flip(a)]. 1229 ((x \ (y / (1 / z))) * x) * (1 / z) = x * (T((x \ y) * z,x) / z). [para(578(a,1),1215(a,1,2)),flip(a)]. 1230 ((x \ (y / (z \ 1))) * x) * (z \ 1) = x * (z \ T(z * (x \ y),x)). [para(805(a,1),1215(a,1,2)),flip(a)]. 1231 K(x,x \ 1) * T((x * (1 / x)) \ y,z) = x * ((1 / x) * T((1 / x) \ (x \ y),z)). [para(1050(a,2),785(a,1,1))]. 1232 (T((x * y) / x,z) * x) * y = (x * y) * T(y,z). [hyper(587,a,790,a),flip(a)]. 1233 (x * y) * T((x * y) \ (z * y),u) = (T(z / x,u) * x) * y. [hyper(580,a,790,a)]. 1234 (x * T(y,z)) * y = (x * y) * T(y,z). [para(390(a,1),1232(a,1,1))]. 1235 (((1 / x) * y) * x) * T(x,z) = x \ (y * (T(x,z) * x)). [hyper(773,a,1234,a),flip(a)]. 1236 (x * y) / T(y,z) = (x / T(y,z)) * y. [hyper(531,a,1234,a)]. 1237 ((x / T(y,z)) * y) \ (x * y) = T(y,z). [hyper(491,a,1234,a)]. 1238 (x * T(y,z)) \ ((x * y) * T(y,z)) = y. [hyper(117,a,1234,a)]. 1239 (x * T(y,z)) / y = (x / y) * T(y,z). [hyper(113,a,135,a(flip),b,1234,a)]. 1240 ((x / y) * T(y,z)) \ (x * T(y,z)) = y. [hyper(112,a,135,a(flip),b,1234,a)]. 1241 (x * (y / z)) * T(y / z,z) = (x * (z \ y)) * (y / z). [para(100(a,1),1234(a,1,1,2)),flip(a)]. 1242 x \ ((y * x) * T(x,z)) != u | T(y * T(x,z),x) = u. [para(1234(a,1),291(a,1,2))]. 1243 (x * y) * T(y,x) != z | (y * x) * y = z. [para(1234(a,1),486(a,1))]. 1244 (x / T(y / z,z)) * (y / z) = (x * (y / z)) / (z \ y). [para(100(a,1),1236(a,1,2)),flip(a)]. 1245 (x * y) / T(y,z) != y * u | T(x / T(y,z),y) = u. [para(1236(a,2),216(a,2)),flip(a)]. 1246 x * T(y,z) != u * y | (u / T(y,z)) * y = x. [para(1237(a,1),121(a,1,2))]. 1247 (x * T(y,z)) * y != u | (x * y) * T(y,z) = u. [para(1238(a,1),230(a,1,2))]. 1248 R(T(x,y * T(x,z)),y,T(x,z)) = T(x,y). [para(1238(a,1),921(a,1,1)),flip(a)]. 1249 (x / y) * T(y,x) = (y * x) / y. [para(98(a,1),1239(a,1,1)),flip(a)]. 1250 ((x \ y) * y) / (x \ y) = x * T(x \ y,y). [hyper(296,a,1249,a),flip(a)]. 1251 T(x,y) = (y / x) \ ((x * y) / x). [hyper(117,a,1249,a),flip(a)]. 1252 ((x * y) / x) / T(y / x,T(x,y)) = T(x,y). [hyper(113,a,1249,a(flip),b,98,a)]. 1253 (L(x \ 1,x,y) * y) / L(x \ 1,x,y) = (y * x) * T(L(x \ 1,x,y),y). [para(328(a,1),1249(a,1,1)),flip(a)]. 1254 K(x \ (x / (x \ (x / y))),x) = x \ ((y * x) / y). [para(1249(a,1),1046(a,2,2))]. 1256 (x * ((x * y) * y)) * x != z | ((x * y) * x) * (x * y) = z. [para(1158(a,1),1243(a,1))]. 1257 ((x * y) / x) / z != T(x,y) | T(y / x,T(x,y)) = z. [para(1252(a,1),40(a,1)),flip(a)]. 1258 x \ (y * (T(x,z) * x)) = T(y,x) * T(x,z). [para(365(a,2),1235(a,1,1)),flip(a)]. 1259 (x * (y \ (y * z))) * ((y * z) / y) = (x * ((y * z) / y)) * z. [para(205(a,1),1241(a,1,2)),flip(a)]. 1260 (x * (y / z)) / (z \ y) = (x / (z \ y)) * (y / z). [para(100(a,1),1244(a,1,1,2)),flip(a)]. 1261 (x / (y / z)) / (z \ y) = (x / (z \ y)) / (y / z). [hyper(795,a,1260,a),flip(a)]. 1262 ((x * (y \ z)) / (z / y)) / (y \ z) = x / (z / y). [hyper(482,a,1260,a),flip(a)]. 1263 ((x / (y \ z)) / (z / y)) * (y \ z) != u | x / (z / y) = u. [para(1261(a,1),227(a,1,1))]. 1264 x / (y \ z) != u / (z / y) | (u * (y \ z)) / (z / y) = x. [para(1262(a,1),41(a,1)),flip(a)]. 1265 (x / (y / z)) * (z \ y) != u | (x * (z \ y)) / (y / z) = u. [para(1262(a,1),227(a,1,1))]. 1266 (((x * (1 / y)) / x) * y) * x = T(x,R(1 / y,y,x)). [hyper(58,a,765,a(flip),b,876,a)]. 1267 (x * ((y * (x \ 1)) / y)) * y = T(y,R(1 / x,x,y)). [para(745(a,1),1266(a,1,1))]. 1268 T(x,R(1 / y,y,x)) = (x \ T(x,x / (x * y))) * x. [para(1118(a,2),1267(a,1,1)),flip(a)]. 1269 x * (y * L(T(x,y),z,u)) = L(x,z,u) * (x * y). [hyper(343,a,903,a),flip(a)]. 1270 L(x,y,z) * (x * u) = x * (L(x,y,z) * u). [para(213(a,1),1269(a,1,2)),flip(a)]. 1271 x \ (L(x,y,z) * u) = L(x,y,z) * (x \ u). [hyper(518,a,1270,a)]. 1272 x * (L(x,y,z) * (x \ u)) = L(x,y,z) * u. [hyper(288,a,1270,a),flip(a)]. 1273 L(x,y,z) \ (x * (L(x,y,z) * u)) = x * u. [hyper(117,a,1270,a)]. 1274 L(x,y,z) \ (x * u) = x * (L(x,y,z) \ u). [hyper(112,a,137,a(flip),b,1270,a)]. 1275 x * (L(x,y,z) \ (x \ u)) = L(x,y,z) \ u. [hyper(112,a,68,a(flip),b,1270,a),flip(a)]. 1276 ((x * y) * L(x,z,u)) \ (x * (L(x,z,u) * y)) = K(L(x,z,u),x * y). [hyper(112,a,1270,a(flip),b,81,a)]. 1278 x \ (L(x,y,z) * (u * x)) = L(x,y,z) * T(u,x). [para(17(a,2),1271(a,2,2))]. 1279 x \ (L(x,y,z) * u) != w | L(x,y,z) * (x \ u) = w. [para(1272(a,1),287(a,1,2))]. 1280 L(x,y,z) * (x * u) != w | x * (L(x,y,z) * u) = w. [para(1273(a,1),230(a,1,2))]. 1282 T((x * y) / x,L(y,z,u) * x) = L((y * x) / x,x,L(y,z,u)). [para(1273(a,1),1117(a,1,1,1)),flip(a)]. 1283 L(x,y,z) \ (x \ u) = x \ (L(x,y,z) \ u). [hyper(117,a,1275,a),flip(a)]. 1284 x * (L(x,y,z) \ (x \ u)) != w | L(x,y,z) \ u = w. [para(1283(a,2),230(a,1,2))]. 1286 (x \ y) * T((x \ y) \ z,y) = x \ ((y \ (x * z)) * y). [hyper(112,a,98,a(flip),b,917,a),flip(a)]. 1287 (x \ y) * T((x \ y) \ (x \ z),u) = x \ (y * T(y \ z,u)). [para(5(a,1),919(a,1,2,2,1,2)),flip(a)]. 1288 (x * T(x \ (y * z),u)) / z = T(y / (x / z),u) * (x / z). [hyper(113,a,389,a(flip),b,920,a)]. 1289 L(x,T(x,y) \ 1,T(x,y)) = x * K(x \ (x / T(x,y)),x). [hyper(431,a,1022,a)]. 1290 x * (T(y,x) * T(T(y,x) \ 1,z)) = (y * x) * T((y * x) \ x,z). [hyper(114,a,886,a(flip),b,1045,a(flip))]. 1291 (L(1 / x,y,z) * x) * (x \ u) = u * L(u \ (x \ u),y,z). [hyper(741,a,1099,a),flip(a)]. 1292 ((x * (1 / (1 / y))) / x) * (1 / y) = ((x * y) / x) / y. [para(2(a,1),1111(a,2,1,1,2))]. 1293 (1 / x) * ((y * ((1 / x) \ 1)) / y) = ((y * x) / y) / x. [hyper(878,a,1292,a)]. 1294 (1 / x) * ((y * x) / y) = ((y * x) / y) / x. [para(74(a,1),1293(a,1,2,1,2))]. 1295 ((x * (y \ 1)) / x) / (y \ 1) = y * ((x * (y \ 1)) / x). [hyper(296,a,1294,a),flip(a)]. 1296 L(1 / x,y,z) * ((1 / x) \ (u / x)) = (a(x,z,y) * u) / x. [hyper(1279,a,1208,a)]. 1297 (x * y) * R((x * y) \ y,z,u) = (x * R(x \ 1,z,u)) * y. [para(554(a,1),1213(a,2,1))]. 1298 (x * y) * T((x * y) \ (z * y),u) = (x * T(x \ z,u)) * y. [para(389(a,1),1233(a,2,1))]. 1299 (x * ((y * z) / y)) * z = (x * z) * ((y * z) / y). [para(4(a,1),1259(a,1,1,2)),flip(a)]. 1300 T(x,(y * x) / y) = x. [hyper(29,a,1159,a,b,1299,a)]. 1302 ((x / y) * y) * ((x * y) / x) = T(x,x / (x / y)) * y. [para(846(a,1),1299(a,1,1)),flip(a)]. 1303 T(x,y * T(y \ x,x)) = x. [para(1250(a,1),1300(a,1,2))]. 1304 T(x,x * (y * T(y \ 1,x))) = x. [para(611(a,1),1303(a,1,2))]. 1305 T(x,x * (y \ (z * T(z \ y,x)))) = x. [para(1036(a,1),1304(a,1,2,2))]. 1306 T(x,x * (T(x,y) \ ((y \ x) * ((y \ x) \ x)))) = x. [para(851(a,1),1305(a,1,2,2,2,2))]. 1307 T(x,x * (T(x,y) \ x)) = x. [para(5(a,1),1306(a,1,2,2,2))]. 1308 T(T(x,y),x * (T(x,z) \ x)) = T(x,y). [para(1307(a,1),18(a,1,1)),flip(a)]. 1309 (x * (T(x,y) \ x)) \ (x * x) = T(x,y). [hyper(58,a,1002,a(flip),b,1308,a)]. 1310 (x * x) / T(x,y) = x * (T(x,y) \ x). [hyper(178,a,1309,a)]. 1311 T(x / T(x,y),x) = T(x,y) \ x. [hyper(1245,a,1310,a)]. 1312 T(((T(x,y) \ x) * x) / (T(x,y) \ x),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). [para(1310(a,2),604(a,1,2))]. 1313 T(x,y) * T(T(x,y) \ x,x) = (T(x,y) \ x) * T(x,y). [para(1311(a,1),389(a,1,1)),flip(a)]. 1314 T(x,x / (x / y)) * y = x * ((x * y) / x). [hyper(278,a,1302,a),flip(a)]. 1315 T(x,x / (x / y)) * (x \ y) = (x * y) / x. [hyper(1014,a,1314,a)]. 1318 ((x * y) / x) / (x \ y) = T(x,x / (x / y)). [hyper(122,a,1315,a)]. 1319 T(x,y) * T((y \ (x * y)) \ (y \ z),u) = y \ ((x * y) * T((x * y) \ z,u)). [para(17(a,2),1287(a,1,1))]. 1320 (x * T(x \ (y * z),u)) / z = (x / z) * T((x / z) \ y,u). [hyper(272,a,389,a(flip),b,1288,a),flip(a)]. 1321 (x * L(x \ 1,y,z)) * (x \ u) = u * L(u \ (x \ u),y,z). [para(550(a,1),1291(a,1,1))]. 1323 x * (y * T(y \ (x \ (z * y)),u)) = (x * T(x \ z,u)) * y. [hyper(58,a,785,a(flip),b,1298,a)]. 1324 (x * y) * T((x * y) \ y,z) = (x * T(x \ 1,z)) * y. [para(2(a,1),1298(a,1,2,1,2))]. 1325 x * (y * T(y \ (x \ y),z)) = (x * T(x \ 1,z)) * y. [hyper(58,a,785,a(flip),b,1324,a)]. 1326 K(x \ (x / T(y,z)),x) = z \ ((y * T(y \ 1,x)) * z). [para(1324(a,1),1045(a,2,2))]. 1327 (x * T(x \ 1,y)) * y = x * ((y \ (x \ y)) * y). [para(98(a,1),1325(a,1,2)),flip(a)]. 1328 x * T(y * T(y \ 1,x),x) = y * ((x \ (y \ x)) * x). [hyper(249,a,1327,a)]. 1329 T(x * T(x \ 1,y),z) = K(y \ (y / T(x,z)),y). [hyper(272,a,17,a,b,1326,a)]. 1330 T(x,y) * T(T(x,y) \ 1,z) = T(x * T(x \ 1,z),y). [hyper(272,a,886,a(flip),b,1329,a)]. 1331 T(x,y) \ T(x * T(x \ 1,z),y) = T(T(x,y) \ 1,z). [hyper(112,a,1329,a,b,886,a(flip))]. 1332 K(x \ (x / T(x,y)),x) = T(K(x \ 1,x),y). [para(307(a,1),1329(a,1,1)),flip(a)]. 1333 x * ((y \ (x \ y)) * y) != z | (x * T(x \ 1,y)) * y = z. [para(1328(a,1),248(a,1))]. 1334 T(x * T(x \ 1,T(x,y)),y) = (T(x,y) \ 1) * T(x,y). [hyper(248,a,1330,a),flip(a)]. 1336 T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ T(x * (x \ 1),y). [para(714(a,1),1331(a,1,2,1,2)),flip(a)]. 1337 (x / y) * T((x / y) \ x,z) = (x * T(y,z)) / y. [para(4(a,1),1320(a,1,1,2,1)),flip(a)]. 1338 (x / y) * T((x / y) \ z,x) = ((x \ (z * y)) * x) / y. [para(98(a,1),1320(a,1,1)),flip(a)]. 1339 ((x / y) * T((x / y) \ x,z)) * y = x * T(y,z). [hyper(125,a,1337,a(flip))]. 1340 (x * T(y,z)) / y != u | (x / y) * T((x / y) \ x,z) = u. [para(1339(a,1),279(a,1,1))]. 1341 x * L(x \ (y \ x),y,y \ 1) = (y * (1 / y)) * (y \ x). [para(940(a,1),1321(a,1,1,2)),flip(a)]. 1342 (x * T(x \ (y / z),u)) * z = x * (z * T(z \ (x \ y),u)). [para(7(a,1),1323(a,1,2,2,1,2,2)),flip(a)]. 1343 T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ T(1,y). [para(5(a,1),1336(a,2,2,1))]. 1345 T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ 1. [para(179(a,1),1343(a,2,2))]. 1347 x \ (y * (x * T(x \ (y \ z),u))) != w | T(y * T(y \ (z / x),u),x) = w. [para(1342(a,1),291(a,1,2))]. 1348 (x \ 1) * (y * T(y \ ((x \ 1) \ z),u)) = (x \ T(x * (z / y),u)) * y. [para(805(a,1),1342(a,1,1)),flip(a)]. 1349 ((x / y) * K(y \ 1,y)) * y = x * (y * T(y \ (x \ x),y)). [para(885(a,2),1342(a,1,1))]. 1350 ((x / y) * K(y \ 1,y)) * y = x * (y * T(y \ 1,y)). [para(61(a,1),1349(a,2,2,2,1,2))]. 1352 ((x / y) * K(y \ 1,y)) * y = x * ((y \ 1) * y). [para(98(a,1),1350(a,2,2))]. 1353 (R(x,y \ 1,y) / y) * K(y \ 1,y) = x * (y \ 1). [hyper(30,a,93,a(flip),b,1352,a),flip(a)]. 1354 x * K(y \ 1,y) != z * (y \ 1) | R(z,y \ 1,y) / y = x. [para(1353(a,1),39(a,1)),flip(a)]. 1355 T(R(L(x / y,z,u),y,w),y * w) = L((y * w) \ (x * w),z,u). [para(24(a,2),560(a,1,1))]. 1356 x * ((x \ y) * ((z * ((x \ y) \ u)) / z)) = y * ((z * (y \ (x * u))) / z). [hyper(114,a,762,a(flip),b,88,a),flip(a)]. 1357 (x * y) * L((x * y) \ (y * z),u,w) = y * (T(x,y) * L(T(x,y) \ z,u,w)). [para(440(a,1),779(a,1,2,1))]. 1358 (1 / (x \ y)) \ (y \ x) = (y \ x) * (x \ y). [para(327(a,1),1034(a,1,1)),flip(a)]. 1359 (1 / (x \ y)) * ((y \ x) * (x \ y)) = y \ x. [hyper(127,a,1358,a)]. 1360 T(1 / (x \ y),(y \ x) * (x \ y)) = ((y \ x) * (x \ y)) \ (y \ x). [hyper(359,a,xx,b,1359,a)]. 1361 x * L(x \ y,y \ x,x \ y) = y * K(y \ x,(y \ x) \ 1). [para(1050(a,2),1121(a,2,2))]. 1362 T((x * y) / x,L(y,z,u) * x) = L(y,x,L(y,z,u)). [para(6(a,1),1282(a,2,1))]. 1363 (x * y) * L((x * y) \ (z * y),u,w) = (L(z / x,u,w) * x) * y. [hyper(114,a,1355,a(flip),b,221,a)]. 1364 T(x,x \ 1) * y != ((x \ 1) \ z) * T(x,x \ 1) | z * T(x,x \ 1) = y. [para(402(a,1),38(a,1)),flip(a)]. 1365 (x * y) * ((z * ((x * y) \ (x * u))) / z) != w | x * (y * ((z * (y \ u)) / z)) = w. [para(89(a,1),763(a,1,2,1,2))]. 1367 T(T(x,x * y) * y,R(x,y,y \ 1)) = x * y. [para(479(a,1),874(a,1,1))]. 1368 T(T(T(x,x * y) * y,z),R(x,y,y \ 1)) = T(x * y,z). [para(1367(a,1),18(a,1,1)),flip(a)]. 1369 T(x * y,R(x,y,y \ 1)) = T(x * y,T(x,y)). [para(894(a,1),1368(a,1,1))]. 1370 T((x / y) * y,T(x / y,y)) = T(x,R(x / y,y,y \ 1)). [para(7(a,1),1369(a,1,1)),flip(a)]. 1371 T((x / y) * y,T(x / y,y)) = T(x,x * (y \ 1)). [para(460(a,1),1370(a,2,2))]. 1372 T(x,T(x / y,y)) = T(x,x * (y \ 1)). [para(7(a,1),1371(a,1,1))]. 1373 T(x,x * (y \ 1)) = T(x,y \ x). [para(100(a,1),1372(a,1,2)),flip(a)]. 1374 T(x,(1 / y) \ x) = T(x,x * y). [para(74(a,1),1373(a,1,2,2)),flip(a)]. 1375 (((x * y) / x) * (y \ 1)) * x = T(x,R(y,y \ 1,x)). [hyper(767,a,877,a)]. 1376 (x \ ((y * x) / y)) * y = T(y,R(x,x \ 1,y)). [para(997(a,1),1375(a,1,1))]. 1377 T(x,R(T(y,x),T(y,x) \ 1,x)) = (T(y,x) \ y) * x. [para(206(a,1),1376(a,1,1,2)),flip(a)]. 1378 T(x,R(y,y \ 1,x)) / x != z | y \ ((x * y) / x) = z. [para(1376(a,1),279(a,1,1))]. 1379 (L((x * y) / x,z,u) * x) * y = (x * y) * L(y,z,u). [hyper(760,a,907,a),flip(a)]. 1380 (x * L(y,z,u)) * y = (x * y) * L(y,z,u). [para(551(a,1),1379(a,1,1))]. 1381 (x * y) / L(y,z,u) = (x / L(y,z,u)) * y. [hyper(531,a,1380,a)]. 1382 ((x / y) * L(y,z,u)) * y = x * L(y,z,u). [hyper(272,a,135,a(flip),b,1380,a),flip(a)]. 1383 (x * L(y,z,u)) \ ((x * y) * L(y,z,u)) = y. [hyper(117,a,1380,a)]. 1384 (x * L(y,z,u)) / y = (x / y) * L(y,z,u). [hyper(113,a,135,a(flip),b,1380,a)]. 1385 ((x * y) * L(y,z,u)) \ (y * (x * L(y,z,u))) != w | K(y,x * L(y,z,u)) = w. [para(1380(a,1),293(a,1,1))]. 1386 (x * L(y,z,u)) / y != w | (x / y) * L(y,z,u) = w. [para(1382(a,1),279(a,1,1))]. 1387 T(R(x,y,L(x,z,u)),y * L(x,z,u)) = T(x,y). [para(1383(a,1),650(a,1,1)),flip(a)]. 1388 (x * T(x \ (x * y),z)) * L(y,u,w) = (x * L(y,u,w)) * T(y,z). [para(1383(a,1),1298(a,1,2,1)),flip(a)]. 1389 (x / y) * L(y,1 / y,y) = (x * (1 / (1 / y))) / y. [para(994(a,1),1384(a,1,1,2)),flip(a)]. 1390 (x * L(y,z,u)) * T(y,x) = (y * x) * L(y,z,u). [hyper(114,a,1387,a(flip),b,221,a)]. 1391 T(x,y * L(z,u,w)) != T(z,y) | R(z,y,L(z,u,w)) = x. [para(1387(a,1),44(a,1)),flip(a)]. 1392 (x * (1 / (1 / y))) / y = (x / y) * (1 / (1 / y)). [para(994(a,1),1389(a,1,2)),flip(a)]. 1393 ((x / y) * (1 / (1 / y))) \ (x * (1 / (1 / y))) = y. [hyper(172,a,1392,a)]. 1394 (L((x / y) / z,u,w) * z) * y = (z * y) * L((z * y) \ x,u,w). [hyper(272,a,550,a(flip),b,908,a),flip(a)]. 1395 (x * y) * R((x * y) \ (z * y),u,w) = (R(z / x,u,w) * x) * y. [hyper(744,a,910,a)]. 1396 (x * y) * ((z * ((x * y) \ y)) / z) = (((z * (1 / x)) / z) * x) * y. [hyper(878,a,922,a)]. 1397 R(1 / x,y,z) * T(x,x \ 1) = ((x \ 1) \ 1) * R(x \ 1,y,z). [hyper(541,a,960,a)]. 1398 (1 / (1 / x)) * L(x \ 1,y,z) = L(x \ 1,y,z) / (1 / x). [hyper(58,a,977,a(flip),b,976,a),flip(a)]. 1399 L((x \ y) \ 1,x \ y,x) / (1 / (x \ y)) = (1 / (1 / (x \ y))) * (y \ x). [para(327(a,1),1398(a,1,2)),flip(a)]. 1400 (x / y) * (y * L(y \ ((x / y) \ z),u,w)) = x * L(x \ z,u,w). [para(5(a,1),1086(a,2,2,1,2))]. 1401 (x \ y) * R((x \ y) \ 1,z,u) = x \ (y * R(y \ x,z,u)). [para(3(a,1),1098(a,1,2,2,1,2)),flip(a)]. 1402 (x * (y * z)) * ((u * (((x * y) * L(z,y,x)) \ (x * y))) / u) = (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)). [para(87(a,1),1107(a,1,1))]. 1403 (x / y) \ (x * ((z * (x \ (x / y))) / z)) = y * ((z * (y \ 1)) / z). [hyper(117,a,1109,a)]. 1404 T((x * (y * z)) \ (R(x,y,z) * (y * z)),x) = (x * (y * z)) \ ((x * y) * z). [para(93(a,2),1211(a,1,1,2))]. 1405 (x * y) * L((x * y) \ (z * y),u,w) = (x * L(x \ z,u,w)) * y. [para(550(a,1),1363(a,2,1))]. 1406 (x * T(y,z)) * L(y,u,w) = (x * L(y,u,w)) * T(y,z). [para(4(a,1),1388(a,1,1,2,1))]. 1407 (x * L(x \ (y / z),u,w)) * z = (x * z) * L((x * z) \ y,u,w). [para(550(a,1),1394(a,1,1))]. 1408 (x * y) * R((x * y) \ (z * y),u,w) = (x * R(x \ z,u,w)) * y. [para(554(a,1),1395(a,2,1))]. 1409 (x * y) * ((z * ((x * y) \ y)) / z) = (x * ((z * (x \ 1)) / z)) * y. [para(745(a,1),1396(a,2,1))]. 1410 R(1 / x,y,z) * T(x,x \ 1) = (x \ 1) \ R(1 / x,y,z). [hyper(272,a,978,a(flip),b,1397,a),flip(a)]. 1411 ((x / y) \ 1) \ R(1 / (x / y),x / y,y) = (y / x) * T(x / y,(x / y) \ 1). [para(335(a,1),1410(a,1,1)),flip(a)]. 1412 (x / y) \ (x * ((x / y) / x)) = y * ((x * (y \ 1)) / x). [para(5(a,1),1403(a,1,2,2,1))]. 1413 K(x,(x / y) / x) = y * ((x * (y \ 1)) / x). [hyper(400,a,1412,a)]. 1414 K(x,(x / (y \ 1)) / x) = y \ ((x * y) / x). [hyper(272,a,1071,a(flip),b,1413,a),flip(a)]. 1415 (x \ y) * ((y * ((x \ y) \ 1)) / y) = K(y,x / y). [para(72(a,1),1413(a,1,2,1)),flip(a)]. 1416 x * ((T(x,y) * (x \ 1)) / T(x,y)) = K(T(x,y),1 / x). [para(404(a,1),1413(a,1,2)),flip(a)]. 1417 x \ ((L(x \ 1,y,z) * x) / L(x \ 1,y,z)) = K(L(x \ 1,y,z),1 / (x \ 1)). [para(577(a,1),1414(a,1,2)),flip(a)]. 1418 ((x * y) * L((x * y) \ x,z,u)) * y = (x * y) * (y * L(y \ 1,z,u)). [hyper(58,a,901,a(flip),b,1405,a),flip(a)]. 1419 x * L(x \ (x \ (y * x)),z,u) = T(x * L(x \ y,z,u),x). [hyper(215,a,1405,a(flip),b,902,a(flip)),flip(a)]. 1420 (x * y) * L((x * y) \ y,z,u) = (x * L(x \ 1,z,u)) * y. [para(2(a,1),1405(a,1,2,1,2))]. 1422 T(x * L(x \ y,z,u),x) = x * L(x \ T(y,x),z,u). [para(17(a,2),1419(a,1,2,1,2)),flip(a)]. 1423 x \ T(x * L(x \ y,z,u),x) = L(x \ T(y,x),z,u). [hyper(112,a,1422,a,b,xx)]. 1425 x * (y * L(y \ (x \ y),z,u)) = (x * L(x \ 1,z,u)) * y. [hyper(58,a,902,a(flip),b,1420,a)]. 1426 x * (y * L(y \ (x \ y),x,x \ 1)) = (x * (1 / x)) * y. [para(940(a,1),1425(a,2,1,2))]. 1427 x * ((x * (1 / x)) * (x \ y)) = (x * (1 / x)) * y. [para(1341(a,1),1426(a,1,2))]. 1428 x * (K(x,x \ 1) * (x \ y)) = (x * (1 / x)) * y. [para(1050(a,2),1427(a,1,2,1))]. 1429 x * (K(x,x \ 1) * (x \ y)) = K(x,x \ 1) * y. [para(1050(a,2),1428(a,2,1))]. 1430 K(x,x \ 1) * (x * y) = x * (K(x,x \ 1) * y). [para(4(a,1),1429(a,1,2,2)),flip(a)]. 1431 (x \ 1) * (K(x \ 1,x) * ((x \ 1) \ y)) = K(x \ 1,(x \ 1) \ 1) * y. [para(1059(a,1),1429(a,1,2,1))]. 1432 K(x,x \ 1) * y != x * (K(x,x \ 1) * z) | x * z = y. [para(1430(a,1),38(a,1)),flip(a)]. 1433 (x * L(x \ (y / z),u,w)) * z = x * (z * L(z \ (x \ y),u,w)). [hyper(272,a,902,a(flip),b,1407,a),flip(a)]. 1435 x * R(x \ (x \ (y * x)),z,u) = T(x * R(x \ y,z,u),x). [hyper(215,a,1408,a(flip),b,905,a(flip)),flip(a)]. 1436 (x * R(x \ (x * y),z,u)) * y = (x * y) * R(y,z,u). [para(4(a,1),1408(a,1,2,1)),flip(a)]. 1438 (x \ (y * z)) * R((x \ (y * z)) \ z,u,w) = x \ ((y * R(y \ x,u,w)) * z). [para(1408(a,1),1098(a,1,2)),flip(a)]. 1439 (x * R(y,z,u)) * y = (x * y) * R(y,z,u). [para(4(a,1),1436(a,1,1,2,1))]. 1440 (x * R(y,z,u)) \ ((x * y) * R(y,z,u)) = y. [hyper(117,a,1439,a)]. 1441 T(R(x,y,R(x,z,u)),y * R(x,z,u)) = T(x,y). [para(1440(a,1),650(a,1,1)),flip(a)]. 1442 (x * R(y,z,u)) * T(y,x) = (y * x) * R(y,z,u). [hyper(114,a,1441,a(flip),b,221,a)]. 1443 T(x * R(x \ y,z,u),x) = x * R(x \ T(y,x),z,u). [para(17(a,2),1435(a,1,2,1,2)),flip(a)]. 1444 T(x * R(x \ y,z,u),x) / x = R(T(y,x) / x,z,u). [hyper(113,a,1443,a,b,554,a)]. 1445 x \ T(x * R(x \ y,z,u),x) = R(x \ T(y,x),z,u). [hyper(112,a,1443,a,b,xx)]. 1446 R(T(x * y,x) / x,z,u) = T(x * R(y,z,u),x) / x. [para(4(a,1),1444(a,1,1,1,2,1)),flip(a)]. 1450 (x / y) * L((x / y) \ (z / y),u,w) = (x * L(x \ z,u,w)) / y. [hyper(113,a,1400,a(flip),b,1433,a),flip(a)]. 1451 (x * L(x \ (y * x),z,u)) / y = (x / y) * L(T(y,x),z,u). [para(1251(a,2),1450(a,1,2,1)),flip(a)]. 1452 (x / y) * L(T(y,x),z,u) = (L(y,z,u) * x) / y. [para(549(a,1),1451(a,1,1)),flip(a)]. 1453 (L(x,y,z) * (u * x)) / x = u * L(T(x,u * x),y,z). [para(6(a,1),1452(a,1,1)),flip(a)]. 1454 T(x * L(T(y,x * y),z,u),y) = y \ (L(y,z,u) * (x * y)). [para(1453(a,1),100(a,1,1))]. 1455 T(x * L(T(y,x * y),z,u),y) = L(y,z,u) * T(x,y). [hyper(272,a,1278,a(flip),b,1454,a),flip(a)]. 1456 a(x,y,z) = L(L(z,y,x) \ z,L(z,y,x),x * y). [hyper(272,a,9,a,b,444,a)]. 1457 a(x,y,z) = L(L(z,y,x) \ z,(x * y) \ (x * (y * z)),x * y). [para(13(a,1),1456(a,2,2))]. 1458 (x * (y * z)) \ ((x * y) * ((L(z,y,x) \ z) * ((x * y) \ (x * (y * z))))) = T(a(x,y,z),(x * y) \ (x * (y * z))). [para(1457(a,2),646(a,1,1)),flip(a)]. 1459 K(((x \ y) * (y \ x)) \ (x \ y),(x \ y) * (y \ x)) = y \ (x * (x \ y)). [para(896(a,1),1044(a,2,2,2))]. 1460 R(x / (y * x),(y * x) / x,x / (y * x)) = R(y \ 1,y,x). [para(6(a,1),1103(a,2,2))]. 1461 R(x / (y * x),y,x / (y * x)) = R(y \ 1,y,x). [para(6(a,1),1460(a,1,2))]. 1462 R(1 / x,x,y / (x * y)) = x \ 1. [hyper(782,a,1461,a)]. 1463 R(1 / x,x,(x \ y) / y) = x \ 1. [para(5(a,1),1462(a,1,3,2))]. 1465 (x \ 1) \ ((x \ y) / y) = x * ((x \ y) / y). [para(1463(a,1),333(a,1,1))]. 1467 (((x * ((y / z) / u)) / x) * u) * z = (u * z) * ((x * ((u * z) \ y)) / x). [hyper(272,a,745,a(flip),b,1110,a),flip(a)]. 1468 x * (T(y,x) * T(T(y,x) \ y,z)) = (y * x) * T(K(x,y),z). [para(11(a,2),1112(a,1,2,1)),flip(a)]. 1469 x * L(y,T(y,x) \ y,T(y,x)) = (y * x) * T(K(x,y),y). [para(1019(a,1),1468(a,1,2))]. 1470 (x \ T(x * (y / z),z)) * z = (x \ 1) * ((z \ ((x \ 1) \ y)) * z). [para(98(a,1),1348(a,1,2)),flip(a)]. 1471 T((x \ (x * (y / x))) * x,x) = (x \ 1) * ((x \ ((x \ 1) \ y)) * x). [hyper(1222,a,1470,a)]. 1472 T(x,y) = (y \ 1) * ((y \ ((y \ 1) \ x)) * y). [para(76(a,1),1471(a,1,1))]. 1473 (x \ 1) * ((x \ y) * x) = T((x \ 1) * y,x). [para(4(a,1),1472(a,2,2,1,2)),flip(a)]. 1474 T(((1 / x) \ 1) * y,1 / x) = x * (((1 / x) \ y) * (1 / x)). [hyper(533,a,1473,a),flip(a)]. 1475 x * (((1 / x) \ y) * (1 / x)) = T(x * y,1 / x). [para(74(a,1),1474(a,1,1,1)),flip(a)]. 1477 (1 / x) * ((((1 / x) \ y) * (1 / x)) * x) = T((1 / x) * T(x * y,1 / x),x). [para(1475(a,1),647(a,1,1,2)),flip(a)]. 1478 x * K(y,(y / (x \ z)) / y) = z * ((y * (z \ (x * 1))) / y). [para(1413(a,2),1356(a,1,2))]. 1479 x * K(y,(y / (x \ z)) / y) = z * ((y * (z \ x)) / y). [para(3(a,1),1478(a,2,2,1,2,2))]. 1480 (x * y) * ((z * ((x * y) \ y)) / z) = y * K(z,(z / T(x,y)) / z). [para(17(a,2),1479(a,1,2,2,1,2)),flip(a)]. 1481 T(x * ((y * (x \ 1)) / y),z) = K(y,(y / T(x,z)) / y). [hyper(215,a,1409,a(flip),b,1480,a(flip))]. 1482 T(x,y) * ((z * (T(x,y) \ 1)) / z) = T(x * ((z * (x \ 1)) / z),y). [hyper(272,a,1413,a(flip),b,1481,a)]. 1483 K(x,(x / T(y \ x,z)) / x) = T(K(x,y / x),z). [para(1415(a,1),1481(a,1,1)),flip(a)]. 1484 T(K(x,y / x),K(y / x,z)) = K(x,(x / (y \ x)) / x). [para(982(a,1),1483(a,1,2,1,2)),flip(a)]. 1485 T(K(x,y / x),K(y / x,z)) = K(x,y / x). [para(72(a,1),1484(a,2,2,1))]. 1487 T(K(x,y),K((y * x) / x,z)) = K(x,(y * x) / x). [para(6(a,1),1485(a,1,1,2))]. 1488 T(K(x,y),K(y,z)) = K(x,(y * x) / x). [para(6(a,1),1487(a,1,2,1))]. 1489 T(K(x,y),K(y,z)) = K(x,y). [para(6(a,1),1488(a,2,2))]. 1490 T(K(x,y),K(z,x)) = K(x,y). [hyper(49,a,1489,a)]. 1491 K(x,y) * K(z,x) = K(z,x) * K(x,y). [hyper(114,a,1489,a(flip),b,17,a(flip))]. 1492 K(x,y) * K(z,x) != u | K(z,x) * K(x,y) = u. [para(1489(a,1),248(a,1,2))]. 1493 T((x * y) \ (y * x),K(z,y)) = K(y,x). [para(11(a,1),1490(a,1,1))]. 1494 T(K(x,y),K(x,z)) = K(x,y). [para(28(a,1),1490(a,1,2))]. 1495 K(x,y) * K(y,z) != u | K(y,z) * K(x,y) = u. [para(1490(a,1),248(a,1,2))]. 1496 L(K(x,y),z,u) * K(w,x) = K(w,x) * L(K(x,y),z,u). [para(1490(a,1),213(a,1,2,1)),flip(a)]. 1497 K(x,y) * L(K(y,z),u,w) != v5 | L(K(y,z),u,w) * K(x,y) = v5. [para(1490(a,1),343(a,1,2,1))]. 1498 K(x,y) * K(x,z) = K(x,z) * K(x,y). [hyper(114,a,1494,a(flip),b,17,a(flip))]. 1499 K(x,y) * K(x,z) != u | K(x,z) * K(x,y) = u. [para(1494(a,1),248(a,1,2))]. 1500 T((x * y) \ (y * x),K(z,y)) = L(y \ T(y,x),y,x). [hyper(272,a,615,a(flip),b,1493,a),flip(a)]. 1501 T(x \ T(x,y),K(z,x)) = x \ T(x,y). [hyper(618,a,1500,a)]. 1502 T(K(x,y),y \ T(y,z)) = K(x,y). [hyper(49,a,1501,a)]. 1503 K(K(x,y),y \ T(y,z)) = 1. [hyper(50,a,1502,a)]. 1504 K(K(x,y),y \ ((T(z,y) \ z) * y)) = 1. [para(1377(a,1),1503(a,1,2,2))]. 1505 K(K(x,y),T(T(z,y) \ z,y)) = 1. [para(17(a,2),1504(a,1,2))]. 1506 T(x * ((T(x,y) * (x \ 1)) / T(x,y)),y) = T(x,y) * (1 / T(x,y)). [para(5(a,1),1482(a,1,2,1)),flip(a)]. 1507 T(x * ((T(x,y) * (x \ 1)) / T(x,y)),y) = K(T(x,y),T(x,y) \ 1). [hyper(272,a,1050,a,b,1506,a),flip(a)]. 1508 K(T(x,y),T(x,y) \ 1) = T(K(T(x,y),1 / x),y). [para(1416(a,1),1507(a,1,1)),flip(a)]. 1509 (x * (y * L(y \ 1,z,u))) * y = (x * y) * (y * L(y \ 1,z,u)). [para(901(a,1),1418(a,1,1))]. 1510 (x * y) * (y * L(y \ 1,y,1 / y)) = (x * (y * (1 / y))) * y. [para(326(a,1),1509(a,1,1,2,2)),flip(a)]. 1511 (x * (y * (1 / y))) * y = (x * y) * (y * (1 / y)). [para(326(a,1),1510(a,1,2,2)),flip(a)]. 1512 (x * K(y,y \ 1)) * y = (x * y) * (y * (1 / y)). [para(1050(a,2),1511(a,1,1,2))]. 1513 (x * K(y,y \ 1)) * y = (x * y) * K(y,y \ 1). [para(1050(a,2),1512(a,2,2))]. 1514 T((x / y) * K(y,y \ 1),y) = y \ (x * K(y,y \ 1)). [hyper(359,a,135,a(flip),b,1513,a)]. 1515 (x \ 1) * (K(x \ 1,x) * ((x \ 1) \ y)) = K(x \ 1,x) * y. [para(1059(a,1),1431(a,2,1))]. 1516 (x \ 1) \ (K(x \ 1,x) * y) = K(x \ 1,x) * ((x \ 1) \ y). [hyper(117,a,1515,a)]. 1517 L((1 / x) \ y,1 / x,K(x \ 1,x)) = K(x \ 1,x) * ((x \ 1) \ y). [hyper(58,a,959,a,b,1516,a)]. 1518 K(((x \ y) * (y \ x)) \ (x \ y),(x \ y) * (y \ x)) = 1. [hyper(272,a,228,a(flip),b,1459,a),flip(a)]. 1520 T(1 / (x \ y),(y \ x) * (x \ y)) = 1 / (x \ y). [para(1518(a,1),892(a,1,1)),flip(a)]. 1521 ((x \ y) * (y \ x)) \ (x \ y) = 1 / (y \ x). [hyper(58,a,1360,a(flip),b,1520,a)]. 1522 (x \ y) / (1 / (y \ x)) = (x \ y) * (y \ x). [hyper(178,a,1521,a)]. 1523 (((x * y) \ x) * y) \ ((x * y) \ x) = 1 / (x \ (x * y)). [para(4(a,1),1521(a,1,1,2))]. 1524 (((x * y) \ x) * y) \ ((x * y) \ x) = 1 / y. [para(4(a,1),1523(a,2,2))]. 1525 ((x * y) \ x) / (1 / y) = ((x * y) \ x) * y. [hyper(178,a,1524,a)]. 1526 K(((x * y) \ x) \ (((x * y) \ x) * y),(x * y) \ x) * y = T(y,(x * y) \ x). [para(1525(a,1),890(a,2,1,1,2)),flip(a)]. 1527 (x * y) * ((x * ((x * y) \ z)) / x) = (x * ((z / y) / x)) * y. [hyper(278,a,1467,a),flip(a)]. 1528 (x * y) * ((x * ((x * y) \ z)) / x) != u | (x * ((z / y) / x)) * y = u. [para(1467(a,1),278(a,1))]. 1529 x * (y * ((x * (y \ (x \ z))) / x)) = (x * ((z / y) / x)) * y. [hyper(58,a,1108,a(flip),b,1527,a)]. 1530 (x * (R(y / z,z,y \ u) / x)) * (z * (y \ u)) = x * ((z * (y \ u)) * ((x * ((z * (y \ u)) \ (x \ u))) / x)). [para(461(a,2),1529(a,2,1,2,1)),flip(a)]. 1531 (x * ((y / (z * (x \ y))) / x)) * (z * (x \ y)) = x * ((z * ((x * (z \ 1)) / x)) * (x \ y)). [para(1409(a,1),1529(a,1,2)),flip(a)]. 1532 T(x,x / (x * y)) != z | (x * ((x / y) / x)) * y = z. [para(844(a,1),1528(a,1))]. 1534 (T(x,y) * (1 / x)) / T(x,y) = L(1 / x,T(x,y),1 / x). [hyper(58,a,857,a(flip),b,610,a)]. 1536 T(L(1 / x,T(x,y),1 / x),x) = (T(x,y) * (x \ 1)) / T(x,y). [para(1534(a,1),586(a,1,1))]. 1537 (T(x,y) * (x \ 1)) / T(x,y) = L(x \ 1,T(x,y),1 / x). [hyper(58,a,223,a(flip),b,1536,a),flip(a)]. 1538 x * L(x \ 1,T(x,y),1 / x) = K(T(x,y),1 / x). [para(1537(a,1),1416(a,1,2))]. 1539 L(1 / (x \ (x / y)),x \ (x / y),x) = L(y,x \ (x / y),y). [hyper(272,a,899,a(flip),b,1106,a),flip(a)]. 1540 (L(x \ 1,x,y) * y) / L(x \ 1,x,y) = y * (x * T(x \ 1,y)). [hyper(272,a,364,a(flip),b,1253,a),flip(a)]. 1541 ((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) / y = (1 / y) * (y * (x * T(x \ 1,y))). [para(1540(a,1),1294(a,1,2)),flip(a)]. 1542 (1 / (1 / (x \ y))) * (y \ x) = (y \ x) / (1 / (x \ y)). [para(327(a,1),1399(a,1,1)),flip(a)]. 1543 T(1 / (1 / (x \ y)),y \ x) = x \ y. [hyper(215,a,1542,a,b,1522,a(flip))]. 1544 ((x \ y) * (y \ x)) / (x \ y) = 1 / (1 / (y \ x)). [hyper(113,a,1522,a(flip),b,1542,a)]. 1546 T(1 / (1 / x),(y * x) \ y) = y \ (y * x). [para(4(a,1),1543(a,1,1,2,2))]. 1547 T(1 / (1 / x),(y * x) \ y) = x. [hyper(272,a,4,a(flip),b,1546,a),flip(a)]. 1549 T(x,(y * x) \ y) = T(x,x \ 1). [para(1547(a,1),948(a,1,1)),flip(a)]. 1550 T(x,(y * x) \ y) = (x \ 1) \ 1. [hyper(272,a,99,a(flip),b,1549,a),flip(a)]. 1551 T(x \ y,y \ x) = ((x \ y) \ 1) \ 1. [para(5(a,1),1550(a,1,2,1))]. 1552 (x * y) * K(((x * y) \ x) \ 1,(x * y) \ x) = x * ((y \ 1) \ 1). [para(1550(a,1),1079(a,2,2))]. 1553 x * T(y \ z,z \ y) = x * (((y \ z) \ 1) \ 1). [hyper(114,a,1551,a,b,4,a)]. 1554 T(x \ y,y \ x) \ z = (((x \ y) \ 1) \ 1) \ z. [hyper(56,a,1551,a)]. 1555 1 / T(x \ y,y \ x) = (x \ y) \ 1. [hyper(178,a,1551,a(flip))]. 1556 1 / T(x \ (x / y),y) = (x \ (x / y)) \ 1. [para(74(a,1),1555(a,1,2,2))]. 1557 ((x \ y) \ 1) \ 1 != z \ u | z * T(x \ y,y \ x) = u. [para(1555(a,1),506(a,1,1))]. 1559 L(x \ y,y \ x,x \ y) = 1 / (1 / (x \ y)). [hyper(58,a,900,a(flip),b,1544,a)]. 1560 L(1 / (x \ y),x \ y,x) = 1 / (1 / (y \ x)). [hyper(58,a,743,a(flip),b,1544,a)]. 1561 x * K(x \ y,(x \ y) \ 1) = y * (1 / (1 / (y \ x))). [para(1559(a,1),1361(a,1,2)),flip(a)]. 1562 L(x,y \ (y / x),x) = 1 / (1 / ((y / x) \ y)). [hyper(58,a,1539,a(flip),b,1560,a)]. 1563 L(x,y \ (y / x),x) = 1 / (1 / x). [para(74(a,1),1562(a,2,2,2))]. 1564 L(x,(y * x) \ y,x) = 1 / (1 / x). [para(6(a,1),1563(a,1,2,2))]. 1566 T(R(x \ R(x,y,z),x,y * z),x * (y * z)) = (x * (y * z)) \ ((x * y) * z). [hyper(58,a,643,a,b,1404,a)]. 1567 T(x,x \ 1) * y != ((x \ 1) \ z) * (u * T(x,x \ 1)) | (z * u) * T(x,x \ 1) = y. [para(310(a,1),38(a,1)),flip(a)]. 1568 x * (T(y,x) * R(T(y,x) \ 1,z,u)) = (y * x) * R((y * x) \ x,z,u). [para(98(a,1),780(a,1,2,1,1)),flip(a)]. 1569 T(x,y) * R(T(x,y) \ 1,z,u) = T(x * R(x \ 1,z,u),y). [hyper(215,a,1297,a(flip),b,1568,a),flip(a)]. 1570 T(x * R(x \ 1,T(x,y),z),y) = (z / (T(x,y) * z)) * T(x,y). [hyper(568,a,1569,a),flip(a)]. 1571 T(x * R(x \ 1,T(x,y),x \ 1),y) = ((x \ 1) / (x \ T(x,y))) * T(x,y). [para(685(a,1),1570(a,2,1,2))]. 1572 ((x \ 1) / (x \ T(x,y))) * T(x,y) = T(x * T(x \ 1,T(x,y)),y). [para(716(a,1),1571(a,1,1,2)),flip(a)]. 1573 (x \ 1) / (x \ T(x,y)) = T(x,y) \ 1. [hyper(30,a,1334,a(flip),b,1572,a),flip(a)]. 1574 T(T(x,y) \ 1,x \ T(x,y)) = (x \ T(x,y)) \ (x \ 1). [para(1573(a,1),100(a,1,1))]. 1575 (x \ T(x,y)) \ (x \ 1) = T(x,y) \ 1. [hyper(58,a,1345,a(flip),b,1574,a),flip(a)]. 1577 ((x * ((y \ z) / z)) / x) * z = (((x * (1 / y)) / x) * y) * (y \ z). [para(5(a,1),923(a,1,1,1,2,2))]. 1578 (((x * (1 / y)) / x) * y) * (y \ z) = z * ((x * (z \ (y \ z))) / x). [hyper(878,a,1577,a),flip(a)]. 1579 (x * ((y * (x \ 1)) / y)) * (x \ z) = z * ((y * (z \ (x \ z))) / y). [para(745(a,1),1578(a,1,1))]. 1580 (x * ((y * (x \ (z \ x))) / y)) / (z \ x) = z * ((y * (z \ 1)) / y). [hyper(122,a,1579,a)]. 1581 (x * ((y * (x \ z)) / y)) / ((x / z) \ x) = (x / z) * ((y * ((x / z) \ 1)) / y). [para(74(a,1),1580(a,1,1,2,1,2,2))]. 1582 x \ ((y * x) * T((y * x) \ z,u)) = T(y,x) * T(T(y,x) \ (x \ z),u). [para(17(a,2),1319(a,1,2,1,1)),flip(a)]. 1583 x \ (y * (x * T(x \ (y \ z),u))) = T(y,x) * T(T(y,x) \ (x \ z),u). [para(785(a,1),1582(a,1,2))]. 1584 T(x,y) * T(T(x,y) \ (y \ z),u) = T(x * T(x \ (z / y),u),y). [hyper(1347,a,1583,a),flip(a)]. 1585 T(x * T(x \ ((y * z) / y),u),y) = T(x,y) * T(T(x,y) \ z,u). [para(4(a,1),1584(a,1,2,1,2)),flip(a)]. 1586 T(x,y) * T(T(x,y) \ T(z,y),u) = T(x * T(x \ z,u),y). [para(206(a,1),1585(a,1,1,2,1,2)),flip(a)]. 1587 x * T(T(x,x) \ T(y,x),z) = T(x * T(x \ y,z),x). [para(97(a,1),1586(a,1,1))]. 1588 T(x * T(x \ y,z),x) = x * T(x \ T(y,x),z). [para(97(a,1),1587(a,1,2,1,1)),flip(a)]. 1589 x \ T(x * T(x \ y,z),x) = T(x \ T(y,x),z). [hyper(112,a,1588,a,b,xx)]. 1590 T(x \ T(x * y,x),z) = x \ T(x * T(y,z),x). [para(4(a,1),1589(a,1,2,1,2,1)),flip(a)]. 1592 x \ T(x * T(y / x,z),x) = T(T(y,x) / x,z). [para(1224(a,1),1590(a,1,1)),flip(a)]. 1593 T(x * T(y,z),x) / x = T(T(x * y,x) / x,z). [hyper(58,a,1227,a(flip),b,1592,a)]. 1594 T(x * L(x \ ((y * z) / y),u,w),y) = T(x,y) * L(T(x,y) \ z,u,w). [hyper(215,a,1407,a,b,1357,a(flip))]. 1595 T(x,y) * L(T(x,y) \ y,z,u) = T(x * L(x \ y,z,u),y). [hyper(215,a,1405,a(flip),b,1357,a(flip)),flip(a)]. 1596 T(x,y) * L(T(x,y) \ T(z,y),u,w) = T(x * L(x \ z,u,w),y). [para(206(a,1),1594(a,1,1,2,1,2)),flip(a)]. 1597 T(x,y) * L(T(x,y) \ 1,z,u) = T(x * L(x \ 1,z,u),y). [para(179(a,1),1596(a,1,2,1,2))]. 1598 T(x * L(x \ 1,T(x,y),x / T(x,y)),y) = x \ (T(x,y) * (x / T(x,y))). [hyper(58,a,1012,a,b,1597,a),flip(a)]. 1599 T(x * L(x \ 1,T(x,y),z),y) = T(x,y) * ((z * T(x,y)) \ z). [para(200(a,1),1597(a,1,2)),flip(a)]. 1600 T(x * L(x \ 1,T(x,y),1 / x),y) = T(x,y) * ((T(x,y) / x) \ (1 / x)). [para(373(a,1),1599(a,2,2,1))]. 1601 T((x / T(x,y)) * (T(x,y) * (x \ 1)),y) = x \ (T(x,y) * (x / T(x,y))). [para(422(a,1),1598(a,1,1))]. 1602 T((x / T(x,y)) * (x \ T(x,y)),y) = x \ (T(x,y) * (x / T(x,y))). [para(685(a,1),1601(a,1,1,2))]. 1603 T((x / T(x,y)) * (x \ T(x,y)),y) = K(T(x,y),x / T(x,y)). [hyper(272,a,83,a(flip),b,1602,a),flip(a)]. 1604 T(x,y) * ((T(x,y) / x) \ (1 / x)) = T(K(T(x,y),1 / x),y). [para(1538(a,1),1600(a,1,1)),flip(a)]. 1605 T(x,y) * ((T(x,y) / x) \ (1 / x)) = K(T(x,y),T(x,y) \ 1). [hyper(272,a,1508,a,b,1604,a),flip(a)]. 1606 (T(x,y) / x) \ (1 / x) = 1 / T(x,y). [hyper(29,a,1050,a(flip),b,1605,a),flip(a)]. 1607 (T(x,y) / x) * (1 / T(x,y)) = 1 / x. [hyper(127,a,1606,a)]. 1608 (T(T(x,x \ 1),y) / T(x,x \ 1)) \ (x \ 1) = 1 / T(T(x,x \ 1),y). [para(239(a,1),1606(a,1,2))]. 1609 (x \ T(x,y)) \ (x \ 1) = 1 / T(T(x,x \ 1),y). [para(1116(a,1),1608(a,1,1))]. 1610 1 / T(T(x,x \ 1),y) = T(x,y) \ 1. [hyper(58,a,1575,a(flip),b,1609,a),flip(a)]. 1611 T(T(x,x \ 1),y) = (T(x,y) \ 1) \ 1. [hyper(172,a,1610,a),flip(a)]. 1612 1 / T((x \ 1) \ 1,y) = T(x,y) \ 1. [para(99(a,1),1610(a,1,2,1))]. 1613 1 / T(x \ 1,y) = T(1 / x,y) \ 1. [para(557(a,1),1610(a,1,2,1))]. 1614 T(1 / (1 / x),y) \ 1 = 1 / T(x,y). [para(304(a,1),1610(a,1,2,1)),flip(a)]. 1615 T((x \ 1) \ 1,y) = (T(x,y) \ 1) \ 1. [para(99(a,1),1611(a,1,1))]. 1616 (T(1 / x,y) \ 1) \ 1 = T(x \ 1,y). [para(557(a,1),1611(a,1,1)),flip(a)]. 1617 1 / (1 / T(x,y)) = T(1 / (1 / x),y). [hyper(178,a,1614,a)]. 1618 x * ((T(y,x) \ 1) \ 1) = ((y \ 1) \ 1) * x. [hyper(114,a,1615,a(flip),b,17,a(flip))]. 1619 L(x,T(x,y) \ 1,T(x,y)) = 1 / (1 / x). [hyper(957,a,1617,a(flip))]. 1620 x * K(x \ (x / T(x,y)),x) = 1 / (1 / x). [hyper(58,a,1289,a(flip),b,1619,a)]. 1621 (((x / y) \ 1) \ 1) * y = y * (((y \ x) \ 1) \ 1). [para(100(a,1),1618(a,1,2,1,1)),flip(a)]. 1623 K(x \ (x / T(x,y)),x) = K(x \ 1,x). [hyper(29,a,952,a,b,1620,a),flip(a)]. 1624 T(K(x \ 1,x),y) = K(x \ 1,x). [hyper(58,a,1332,a(flip),b,1623,a)]. 1625 K(x \ 1,x) / T(x,y) = T(1 / T(x,y),x). [para(1623(a,1),889(a,1,1))]. 1627 T(x,K(y \ 1,y)) = x. [hyper(49,a,1624,a)]. 1628 K(x \ 1,x) * y = y * K(x \ 1,x). [hyper(114,a,1624,a(flip),b,17,a(flip)),flip(a)]. 1629 x * K(y \ 1,y) != z | K(y \ 1,y) * x = z. [para(1624(a,1),248(a,1,2))]. 1631 T(x,K(y,y \ 1)) = x. [para(28(a,1),1627(a,1,2))]. 1633 K(x \ 1,x) * y != z | y * K(x \ 1,x) = z. [para(1627(a,1),248(a,1,2))]. 1634 T(K(x,x \ 1),y) = K(x,x \ 1). [hyper(49,a,1631,a)]. 1635 K(x,x \ 1) * y = y * K(x,x \ 1). [hyper(114,a,1631,a(flip),b,17,a(flip))]. 1636 x \ (K(y,y \ 1) * x) = K(y,y \ 1). [para(1631(a,1),207(a,1,2,2))]. 1638 K(x,x \ 1) * y != z | y * K(x,x \ 1) = z. [para(1631(a,1),248(a,1,2))]. 1639 T(x,y * (1 / y)) = x. [para(1050(a,1),1631(a,1,2))]. 1640 (x * (1 / x)) * y = y * (x * (1 / x)). [hyper(114,a,1639,a(flip),b,17,a(flip))]. 1641 x * K(y,y \ 1) != z | K(y,y \ 1) * x = z. [para(1634(a,1),248(a,1,2))]. 1642 K(x,x \ 1) * (y \ 1) = y \ K(x,x \ 1). [para(1634(a,1),676(a,1,1))]. 1643 L(K(x,x \ 1),y,z) * (z * y) = z * (y * K(x,x \ 1)). [para(1634(a,1),547(a,1,2,2)),flip(a)]. 1644 x * (K(y \ 1,y) * z) = x * (z * K(y \ 1,y)). [hyper(114,a,1628,a,b,4,a)]. 1645 (x * K(y \ 1,y)) * L(z,x,K(y \ 1,y)) = K(y \ 1,y) * (x * z). [para(1628(a,1),87(a,1,1))]. 1646 x * (K(y,y \ 1) * z) = x * (z * K(y,y \ 1)). [hyper(114,a,1635,a,b,4,a)]. 1647 R(x,x \ y,K(z,z \ 1)) \ (K(z,z \ 1) * y) = (x \ y) * K(z,z \ 1). [para(1635(a,2),445(a,1,2))]. 1649 x * (y * K(z,z \ 1)) != u | x * (K(z,z \ 1) * y) = u. [para(1636(a,1),288(a,1,2,2))]. 1650 (x \ 1) * K(y,y \ 1) = x \ K(y,y \ 1). [hyper(58,a,1635,a(flip),b,1642,a)]. 1652 (x * T(x \ y,y \ x)) / x = ((y / x) \ 1) \ 1. [hyper(113,a,1553,a,b,1621,a)]. 1653 (x * ((y * K(z \ 1,z)) * u)) \ ((x * (K(z \ 1,z) * y)) * u) = a(x,y * K(z \ 1,z),u). [para(1644(a,2),9(a,2,2,1)),flip(a)]. 1654 x * (y * K(z \ 1,z)) != x * u | K(z \ 1,z) * y = u. [para(1644(a,1),38(a,1))]. 1655 T(x / y,x \ y) = ((x / y) \ 1) \ 1. [hyper(394,a,1652,a)]. 1657 (x \ (y * x)) * R((x \ (y * x)) \ x,z,u) = T(y * R(y \ x,z,u),x). [hyper(272,a,17,a,b,1438,a),flip(a)]. 1658 T(x,y) * R((y \ (x * y)) \ y,z,u) = T(x * R(x \ y,z,u),y). [para(17(a,2),1657(a,1,1))]. 1659 T(x,y) * R(T(x,y) \ y,z,u) = T(x * R(x \ y,z,u),y). [para(17(a,2),1658(a,1,2,1,1))]. 1660 T(x,x * y) * R(T(x,x * y) \ (x * y),z,u) = T(x * R(y,z,u),x * y). [para(4(a,1),1659(a,2,1,2,1))]. 1661 (1 / x) * R((1 / x) \ y,1 / x,x) = T((1 / x) * T(x * y,1 / x),x). [para(237(a,1),1477(a,1,2))]. 1662 T((1 / x) * T(x * y,1 / x),x) = (1 / x) * T(y * x,1 / x). [para(566(a,1),1661(a,1,2)),flip(a)]. 1663 T((1 / x) * T(x * y,1 / x),x) = (y * x) * (1 / x). [hyper(272,a,98,a(flip),b,1662,a),flip(a)]. 1664 T((x * y) * (1 / x),x) = (y * x) * (1 / x). [para(98(a,1),1663(a,1,1))]. 1665 T((x * y) * (1 / x),x) != z * (1 / x) | y * x = z. [para(1664(a,2),39(a,1))]. 1666 K(x,(y * x) \ y) * x = T(x,(y * x) \ y). [para(4(a,1),1526(a,1,1,1))]. 1667 K(x,(y * x) \ y) = ((x \ 1) \ 1) / x. [hyper(113,a,1550,a(flip),b,1666,a),flip(a)]. 1669 K(x,(y * x) \ y) = K(x,x \ 1). [hyper(272,a,1051,a(flip),b,1667,a),flip(a)]. 1670 K(x \ y,(x \ y) \ 1) = K(x \ y,y \ x). [para(5(a,1),1669(a,1,2,1)),flip(a)]. 1671 K(T(x,y),T(x,y) \ 1) = K(T(x,y),(x * y) \ y). [para(98(a,1),1669(a,1,2,1)),flip(a)]. 1672 (x \ y) \ K(x \ y,y \ x) = 1 / (x \ y). [hyper(112,a,1670,a(flip),b,1050,a(flip))]. 1673 x * K(x \ y,y \ x) = y * (1 / (1 / (y \ x))). [para(1670(a,1),1561(a,1,2))]. 1674 T(x,K(y \ z,z \ y)) = x. [para(1670(a,1),1631(a,1,2))]. 1675 K(x \ y,y \ x) * z = z * K(x \ y,y \ x). [hyper(1665,a,1674,a),flip(a)]. 1676 (x * y) * K((x * y) \ x,x \ (x * y)) = x * (1 / (1 / y)). [para(4(a,1),1673(a,2,2,2,2))]. 1677 (x * y) * K((x * y) \ x,y) = x * (1 / (1 / y)). [para(4(a,1),1676(a,1,2,2))]. 1678 a(x,y,z) = T(R(x \ R(x,y,z),x,y * z),x * (y * z)). [hyper(272,a,9,a,b,1566,a)]. 1679 R(x \ R(x,y,z),x,y * z) = ((x * y) * z) / (x * (y * z)). [hyper(225,a,1566,a),flip(a)]. 1680 T(x,y * (z * u)) != a(y,z,u) | R(y \ R(y,z,u),y,z * u) = x. [para(1678(a,2),44(a,1)),flip(a)]. 1681 R(x,y,z) / x = x \ R(x,y,z). [hyper(1125,a,1679,a)]. 1682 (x \ R(x,y,z)) * x = R(x,y,z). [hyper(125,a,1681,a)]. 1683 x * (R(x,y,z) / x) = R(x,y,z). [hyper(114,a,1681,a,b,xx)]. 1684 (x \ 1) * (x * R(x \ 1,y,z)) = R(x \ 1,y,z). [hyper(114,a,411,a(flip),b,1681,a(flip))]. 1685 R(x,y,z) != u * x | x \ R(x,y,z) = u. [para(1682(a,1),39(a,1))]. 1686 R(1 / x,x,y) / (1 / x) = (y / (x * y)) * x. [hyper(29,a,863,a,b,1683,a),flip(a)]. 1687 x \ R(x,y,z) != u | R(x,y,z) / x = u. [para(1683(a,1),287(a,1,2))]. 1688 ((x / (y * x)) * y) * (1 / y) = R(1 / y,y,x). [hyper(125,a,1686,a)]. 1690 ((x / (y * x)) * y) * (1 / y) = x / (y * x). [hyper(272,a,202,a(flip),b,1688,a),flip(a)]. 1691 R(x \ 1,x,y) \ R(1 / x,x,y) = x * (1 / x). [hyper(112,a,1688,a(flip),b,979,a)]. 1692 L(x \ 1,x,y / (x * y)) = 1 / x. [hyper(729,a,1690,a)]. 1693 x / (y * x) = R(y \ 1,y,x) * (y * (1 / y)). [hyper(58,a,979,a,b,1690,a),flip(a)]. 1694 L((x / y) \ 1,x / y,y / x) = 1 / (x / y). [para(7(a,1),1692(a,1,3,2))]. 1695 ((x / y) * (y / x)) \ (x / y) = 1 / (y / x). [hyper(442,a,1694,a)]. 1696 ((x * y) / y) * (y / (x * y)) = x / (1 / (y / (x * y))). [para(1695(a,1),275(a,1,2)),flip(a)]. 1697 R(x \ 1,x,y) \ R(1 / x,x,y) != z | K(x,1 / x) = z. [para(1691(a,2),324(a,1))]. 1698 x / (1 / (y / (x * y))) = x * (y / (x * y)). [para(6(a,1),1696(a,1,1)),flip(a)]. 1699 K(x \ (x * (y / (x * y))),x) = R(x \ 1,x,y) / (y / (x * y)). [para(1698(a,1),891(a,1,1,2))]. 1700 R(x \ 1,x,y) / (y / (x * y)) = K(y / (x * y),x). [hyper(58,a,575,a(flip),b,1699,a),flip(a)]. 1702 K(x / (y * x),y) * (x / (y * x)) = R(y \ 1,y,x). [hyper(125,a,1700,a)]. 1704 (x / y) * ((z * ((x / y) \ 1)) / z) = (x * ((z * (x \ y)) / z)) / y. [para(74(a,1),1581(a,1,2)),flip(a)]. 1706 T(T(x,y) * T(T(x,y) \ x,x),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). [para(1250(a,1),1312(a,1,1))]. 1707 T(L(x,T(x,y) \ x,T(x,y)),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). [para(1019(a,1),1706(a,1,1))]. 1708 T(L(x,T(x,y) \ x,T(x,y)),x * (T(x,y) \ x)) = L(x,T(x,y) \ x,x). [para(1310(a,1),1707(a,1,2))]. 1709 L(T(x,x * (T(x,y) \ x)),T(x,y) \ x,T(x,y)) = L(x,T(x,y) \ x,x). [hyper(58,a,20,a,b,1708,a)]. 1710 L(x,T(x,y) \ x,T(x,y)) = L(x,T(x,y) \ x,x). [para(1307(a,1),1709(a,1,1))]. 1711 T(x,y) * T(T(x,y) \ x,x) = L(x,T(x,y) \ x,x). [hyper(1027,a,1710,a)]. 1712 x * L(y,T(y,x) \ y,y) = (y * x) * T(K(x,y),y). [para(1710(a,1),1469(a,1,2))]. 1713 L(x,T(x,y) \ x,x) = (T(x,y) \ x) * T(x,y). [hyper(58,a,1313,a(flip),b,1711,a),flip(a)]. 1714 ((x / y) \ 1) \ R(1 / (x / y),x / y,y) = (y / x) * (((x / y) \ 1) \ 1). [hyper(272,a,269,a(flip),b,1411,a),flip(a)]. 1715 (x / y) * (((y / x) \ 1) \ 1) = ((y / x) \ 1) \ (x / y). [para(335(a,1),1714(a,1,2)),flip(a)]. 1716 ((x / (y \ x)) \ 1) \ ((y \ x) / x) = ((y \ x) / x) * ((y \ 1) \ 1). [para(72(a,1),1715(a,1,2,1,1)),flip(a)]. 1717 ((x \ y) / y) * ((x \ 1) \ 1) = (x \ 1) \ ((x \ y) / y). [para(72(a,1),1716(a,1,1,1)),flip(a)]. 1719 T(x,(x \ y) / y) = (x \ 1) \ 1. [hyper(215,a,1465,a(flip),b,1717,a)]. 1720 T(x,y / (x * y)) = (x \ 1) \ 1. [para(4(a,1),1719(a,1,2,1))]. 1721 T(x / y,y / x) = ((x / y) \ 1) \ 1. [para(74(a,1),1719(a,1,2,1))]. 1722 T(x,y / (x * y)) = T(x,x \ 1). [hyper(272,a,99,a,b,1720,a),flip(a)]. 1723 T(x,R(1 / x,x,y)) = (x \ 1) \ 1. [para(202(a,2),1720(a,1,2))]. 1724 K((x / (y * x)) \ 1,x / (y * x)) * (y * x) = T(y,y \ 1) * x. [para(1722(a,1),1085(a,2,1))]. 1725 x \ ((x \ 1) \ 1) = x * (1 / x). [para(1723(a,1),927(a,1,2))]. 1726 x \ ((x \ 1) \ 1) = K(x,1 / x). [hyper(272,a,234,a,b,1725,a),flip(a)]. 1728 K((x \ 1) \ 1,x \ 1) = K(x,1 / x). [hyper(58,a,636,a,b,1726,a)]. 1729 T(x / y,y / x) = T(x / y,x \ y). [hyper(272,a,1655,a,b,1721,a),flip(a)]. 1730 T(x / (y * x),(y * x) / x) = (R(1 / y,y,x) \ 1) \ 1. [para(202(a,2),1721(a,2,1,1))]. 1731 T(T(x / y,x \ y),y) = T(y \ x,y / x). [para(1729(a,1),222(a,1,1))]. 1732 T(x \ y,x / y) = T(x \ y,y \ x). [hyper(58,a,222,a(flip),b,1731,a),flip(a)]. 1733 T(x \ y,x / y) = ((x \ y) \ 1) \ 1. [hyper(272,a,1551,a(flip),b,1732,a),flip(a)]. 1734 T(x / (y * x),y) = (R(1 / y,y,x) \ 1) \ 1. [para(6(a,1),1730(a,1,2))]. 1735 (R(1 / x,x,y) \ 1) \ 1 = R(x \ 1,x,y). [hyper(58,a,562,a(flip),b,1734,a),flip(a)]. 1736 R(x \ 1,x,y) = ((y / (x * y)) \ 1) \ 1. [para(202(a,1),1735(a,1,1,1)),flip(a)]. 1737 K(1 / R(1 / x,x,y),R(1 / x,x,y)) = R(x \ 1,x,y) \ R(1 / x,x,y). [para(1735(a,1),1066(a,1,1)),flip(a)]. 1739 K(1 / R(1 / x,x,y),R(1 / x,x,y)) != z | K(x,1 / x) = z. [para(1737(a,2),1697(a,1))]. 1740 x \ ((L(x \ 1,y,z) * x) / L(x \ 1,y,z)) = K(L(x \ 1,y,z),x). [para(72(a,1),1417(a,2,2))]. 1742 x \ L(x,L(x \ 1,y,z),x) = K(L(x \ 1,y,z),x). [para(898(a,1),1740(a,1,2))]. 1743 x \ L(x,(y * x) \ y,x) = K(L(x \ 1,x,y),x). [para(200(a,1),1742(a,1,2,2))]. 1744 K(L(x \ 1,x,y),x) = x \ (1 / (1 / x)). [para(1564(a,1),1743(a,1,2)),flip(a)]. 1745 K(L(x \ 1,x,y),x) = K(x \ 1,x). [hyper(272,a,955,a(flip),b,1744,a),flip(a)]. 1747 K((x * y) \ x,y) = K(y \ 1,y). [para(200(a,1),1745(a,1,1))]. 1748 K((x \ y) \ 1,x \ y) = K(y \ x,x \ y). [para(327(a,1),1745(a,1,1)),flip(a)]. 1749 K((x * y) \ x,y) = K(1 / y,y). [hyper(272,a,1065,a,b,1747,a),flip(a)]. 1750 K(T(x,y) \ 1,T(x,y)) = K((x * y) \ y,T(x,y)). [para(98(a,1),1747(a,1,1,1)),flip(a)]. 1751 (x * y) * K(y \ 1,y) = x * (1 / (1 / y)). [para(1747(a,1),1677(a,1,2))]. 1752 (x * y) * K(1 / y,y) = x * (1 / (1 / y)). [para(1749(a,1),1677(a,1,2))]. 1753 K(((x * y) \ x) \ 1,(x * y) \ x) = K(y,(x * y) \ x). [hyper(272,a,575,a(flip),b,1748,a),flip(a)]. 1754 x \ (y * K(x \ y,y \ x)) = T(x \ y,y \ x). [para(1748(a,1),1078(a,1,2,2))]. 1755 (x / y) * (1 / (1 / y)) = x * K(y \ 1,y). [hyper(278,a,1751,a),flip(a)]. 1758 R(x,y,K(1 / y,y)) = x. [hyper(1068,a,1752,a)]. 1759 R(x,y \ 1,K(y,y \ 1)) = x. [para(72(a,1),1758(a,1,3,1))]. 1760 R(x,y \ 1,y * (1 / y)) = x. [para(1050(a,1),1759(a,1,3))]. 1761 (x * (y \ 1)) * (y * (1 / y)) = x * (1 / y). [para(1760(a,1),975(a,1,1)),flip(a)]. 1762 (x * K(y \ 1,y)) \ (x * (1 / (1 / y))) = y. [para(1755(a,1),1393(a,1,1))]. 1763 (x * (1 / x)) * (y * (x \ 1)) = y * (1 / x). [hyper(58,a,1640,a,b,1761,a)]. 1764 (x * (y \ 1)) * K(y,y \ 1) = x * (1 / y). [para(1050(a,2),1761(a,1,2))]. 1765 L(x,K(x \ 1,x),y) = x. [hyper(970,a,1762,a)]. 1766 L(x \ 1,K(x,1 / x),y) = x \ 1. [para(1728(a,1),1765(a,1,2))]. 1767 (x * K(y,1 / y)) \ (x * (1 / y)) = y \ 1. [hyper(58,a,443,a,b,1766,a)]. 1768 (x * K(y,1 / y)) * (y \ 1) = x * (1 / y). [hyper(114,a,1766,a(flip),b,443,a)]. 1770 K(x,x \ 1) * (y * (x \ 1)) = y * (1 / x). [para(1050(a,2),1763(a,1,1))]. 1771 x * K(y,y \ 1) != z * (1 / y) | z * (y \ 1) = x. [para(1764(a,1),39(a,1)),flip(a)]. 1773 ((x * y) * (1 / z)) / ((y * (z \ 1)) * K(z,z \ 1)) = R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)). [para(1764(a,1),449(a,1,1))]. 1776 (x / (1 / y)) * K(y,1 / y) = x / (y \ 1). [para(1767(a,1),273(a,1,2)),flip(a)]. 1777 (x * K(y,y \ 1)) * (y \ 1) = x * (1 / y). [para(1052(a,1),1768(a,1,1,2))]. 1779 T(x \ (x / (1 / y)),1 / y) = x \ (x / (y \ 1)). [para(1776(a,1),884(a,1,2)),flip(a)]. 1780 (K(x,x \ 1) * y) * (x \ 1) = y * (1 / x). [para(1635(a,2),1777(a,1,1))]. 1781 x * K(y \ x,x \ y) = y * (((y \ x) \ 1) \ 1). [hyper(114,a,1551,a(flip),b,1754,a),flip(a)]. 1782 1 / (x \ (x / (y \ 1))) = (x \ (x / (1 / y))) \ 1. [para(1779(a,1),1556(a,1,2))]. 1783 K(x \ y,y \ x) * y = x * (((x \ y) \ 1) \ 1). [hyper(58,a,1675,a,b,1781,a)]. 1784 1 / (x \ (x / ((y \ 1) \ 1))) = (x \ (x / y)) \ 1. [para(72(a,1),1782(a,2,1,2,2))]. 1786 ((x \ (x / y)) \ 1) \ 1 = x \ (x / ((y \ 1) \ 1)). [hyper(172,a,1784,a)]. 1787 T(x \ (x / y),y) = x \ (x / ((y \ 1) \ 1)). [hyper(31,a,1556,a,b,1784,a)]. 1788 x * (((x \ (x / y)) \ 1) \ 1) = x / ((y \ 1) \ 1). [para(1784(a,1),175(a,1,2,1))]. 1789 x * T(x \ (x / y),y) = x / ((y \ 1) \ 1). [hyper(114,a,1787,a,b,xx)]. 1790 (x / y) * K(y \ 1,y) = x / ((y \ 1) \ 1). [hyper(58,a,885,a,b,1789,a)]. 1791 (x * y) / ((y \ 1) \ 1) = x * K(y \ 1,y). [para(6(a,1),1790(a,1,1)),flip(a)]. 1793 (x * K(y \ 1,y)) * ((y \ 1) \ 1) = x * y. [hyper(125,a,1791,a)]. 1795 x * ((y \ 1) \ 1) != z * y | z * K(y \ 1,y) = x. [para(1793(a,1),39(a,1)),flip(a)]. 1797 x / (((y \ x) \ 1) \ 1) = x * (((x \ y) \ 1) \ 1). [para(72(a,1),1788(a,1,2,1,1,2)),flip(a)]. 1798 (x * y) * K(y,(x * y) \ x) = x * ((y \ 1) \ 1). [para(1753(a,1),1552(a,1,2))]. 1799 (x * y) * K(y,y \ 1) = x * ((y \ 1) \ 1). [para(1669(a,1),1798(a,1,2))]. 1800 (x * y) * K(y,y \ 1) = x * T(y,y \ 1). [hyper(272,a,269,a,b,1799,a),flip(a)]. 1801 (x * K(y,y \ 1)) * y = x * ((y \ 1) \ 1). [hyper(58,a,1513,a,b,1799,a)]. 1802 (x * y) * (y * (1 / y)) = x * ((y \ 1) \ 1). [para(1050(a,1),1799(a,1,2))]. 1805 (x * K(y \ 1,y)) * K(y,y \ 1) = x. [hyper(30,a,1793,a(flip),b,1801,a),flip(a)]. 1806 (x * K(y,y \ 1)) * K(y \ 1,y) = x. [hyper(1795,a,1801,a(flip))]. 1807 (x * (1 / y)) * K(y \ 1,y) = x * (y \ 1). [hyper(1771,a,1805,a),flip(a)]. 1808 K(x,x \ 1) * (y * K(x \ 1,x)) = y. [hyper(1641,a,1805,a)]. 1809 x / K(y \ 1,y) = x * K(y,y \ 1). [hyper(278,a,1805,a),flip(a)]. 1810 (K(x,x \ 1) * y) * K(x \ 1,x) = y. [hyper(30,a,1635,a(flip),b,1805,a),flip(a)]. 1811 (K(x \ 1,x) * y) * K(x,x \ 1) = y. [para(1628(a,2),1805(a,1,1))]. 1812 (x * (1 / (1 / y))) * K(y,y \ 1) = x * y. [para(1751(a,1),1805(a,1,1))]. 1813 K(x \ 1,x) * (y * K(x,x \ 1)) = y. [hyper(1629,a,1806,a)]. 1814 x * K(y \ 1,y) != z | z * K(y,y \ 1) = x. [para(1806(a,1),39(a,1)),flip(a)]. 1815 K(x \ 1,x) * (K(x,x \ 1) * y) = y. [hyper(1654,a,1808,a)]. 1816 K(x,x \ 1) * (K(x \ 1,x) * y) = y. [hyper(58,a,1644,a,b,1808,a)]. 1817 K(x,x \ 1) \ y = K(x \ 1,x) * y. [hyper(112,a,1808,a(flip),b,1644,a)]. 1818 x / K(y \ 1,y) = K(y,y \ 1) * x. [para(7(a,1),1808(a,1,2)),flip(a)]. 1819 (x * K(y,y \ 1)) * K(y \ 1,y) != z | x = z. [para(1809(a,1),227(a,1,1))]. 1820 K(x \ 1,x) \ y = K(x,x \ 1) * y. [hyper(112,a,1810,a(flip),b,1628,a)]. 1821 x * K(y \ 1,y) != z | K(y,y \ 1) * z = x. [para(1810(a,1),39(a,1)),flip(a)]. 1822 K(x \ 1,x) * (y * (1 / x)) = y * (x \ 1). [hyper(1771,a,1811,a),flip(a)]. 1823 K(x \ 1,x) * (y * T(x,x \ 1)) = y * x. [hyper(30,a,1800,a,b,1811,a),flip(a)]. 1824 x * K(y,y \ 1) != z | K(y \ 1,y) * z = x. [para(1811(a,1),39(a,1)),flip(a)]. 1825 K(x \ 1,x) * y != z | z * K(x,x \ 1) = y. [para(1813(a,1),38(a,1)),flip(a)]. 1826 K(x \ 1,x) * (y * (x * (1 / x))) = y. [para(1050(a,1),1813(a,1,2,2))]. 1827 K(x \ 1,x) * y != z | K(x,x \ 1) * z = y. [para(1815(a,1),38(a,1)),flip(a)]. 1828 K(x \ 1,x) * ((x * (1 / x)) * y) = y. [para(1050(a,1),1815(a,1,2,1))]. 1829 (x * (1 / x)) \ y = K(x \ 1,x) * y. [para(1050(a,1),1817(a,1,1))]. 1832 K(x \ 1,x) \ y = (x * (1 / x)) * y. [para(1050(a,1),1820(a,2,1))]. 1833 K(x \ 1,x) * (y / (x * y)) = R(x \ 1,x,y). [para(1693(a,2),1826(a,1,2))]. 1834 K(x \ 1,x) * y != z | (x * (1 / x)) * z = y. [para(1828(a,1),38(a,1)),flip(a)]. 1835 R(x,y \ 1,y) / y = x * (1 / y). [hyper(1354,a,1807,a)]. 1836 (x / (1 / y)) * (y \ 1) = x * K(y \ 1,y). [hyper(278,a,1807,a),flip(a)]. 1837 R(x / (1 / y),y \ 1,y) = x * y. [hyper(277,a,1835,a),flip(a)]. 1838 x \ R(y,x \ 1,x) = T(y * (1 / x),x). [para(1835(a,1),100(a,1,1)),flip(a)]. 1839 (x / (1 / (1 / y))) * y = x * K(y,y \ 1). [hyper(278,a,1812,a),flip(a)]. 1840 (x * (y \ 1)) / (1 / y) = x * K(y \ 1,y). [hyper(1265,a,1836,a)]. 1841 (x / (y \ 1)) * K(y \ 1,y) = x / (1 / y). [hyper(1263,a,1836,a),flip(a)]. 1842 (x / (1 / (1 / y))) * y = K(y,y \ 1) * x. [hyper(272,a,1635,a,b,1839,a),flip(a)]. 1843 R(x * K(y \ 1,y),y \ 1,y) = (x * (y \ 1)) * y. [para(1840(a,1),1837(a,1,1))]. 1844 K(x \ 1,x) * (y / (x * y)) = ((y / (x * y)) \ 1) \ 1. [hyper(272,a,1736,a(flip),b,1833,a),flip(a)]. 1845 K(x / (y * x),y) = K(y \ 1,y). [hyper(30,a,1702,a,b,1833,a)]. 1846 K((x / y) \ 1,x / y) = K(y / x,x / y). [para(7(a,1),1845(a,1,1,2)),flip(a)]. 1848 K((x / (y * x)) \ 1,x / (y * x)) = K(y,x / (y * x)). [para(6(a,1),1846(a,2,1))]. 1849 K(x / y,y / x) * x = y * T(y \ x,y / x). [para(1846(a,1),1080(a,1,1))]. 1850 K(x / y,y / x) * x = y * (((y \ x) \ 1) \ 1). [para(1733(a,1),1849(a,2,2))]. 1851 K(x / y,y / x) = K(y \ x,x \ y). [hyper(30,a,1783,a,b,1850,a),flip(a)]. 1852 R(L(x / (y \ 1),z,u) * K(y \ 1,y),y \ 1,y) = ((y \ 1) * L((y \ 1) \ x,z,u)) * y. [para(550(a,1),1843(a,2,1))]. 1853 K(x / (y * x),(x / (y * x)) \ 1) = K(y \ 1,y). [hyper(30,a,1060,a,b,1844,a)]. 1854 K(1 / (x / (y * x)),x / (y * x)) = K(y,x / (y * x)). [hyper(58,a,1065,a,b,1848,a)]. 1855 K(1 / (x / (y * x)),R(1 / y,y,x)) = K(y,x / (y * x)). [para(202(a,2),1854(a,1,2))]. 1856 K(1 / R(1 / x,x,y),R(1 / x,x,y)) = K(x,y / (x * y)). [para(202(a,2),1855(a,1,1,2))]. 1857 K(x,y / (x * y)) = K(x,1 / x). [hyper(1739,a,1856,a),flip(a)]. 1858 K(x,y / (x * y)) = K(x,x \ 1). [hyper(272,a,1052,a(flip),b,1857,a),flip(a)]. 1859 K((x / (y * x)) \ 1,x / (y * x)) = K(y,y \ 1). [hyper(58,a,1848,a,b,1858,a)]. 1860 K(x / y,(x / y) \ 1) = K(x / y,y / x). [para(7(a,1),1858(a,1,2,2)),flip(a)]. 1861 K(x / y,(x / y) \ 1) = K(y \ x,x \ y). [hyper(272,a,1851,a(flip),b,1860,a),flip(a)]. 1862 K((x * y) \ y,y \ (x * y)) = K(x \ 1,x). [hyper(58,a,1853,a(flip),b,1861,a),flip(a)]. 1863 K((x * y) \ y,T(x,y)) = K(x \ 1,x). [para(17(a,2),1862(a,1,2))]. 1864 K(T(x,y) \ 1,T(x,y)) = K(x \ 1,x). [hyper(58,a,1750,a,b,1863,a)]. 1866 K(x \ 1,x) / T(x,y) = T(x,y) \ 1. [hyper(113,a,1864,a(flip),b,232,a(flip))]. 1867 T(1 / T(x,y),x) = T(x,y) \ 1. [hyper(58,a,1625,a(flip),b,1866,a)]. 1868 (T(x,y) \ x) / x = 1 / T(x,y). [hyper(702,a,1867,a)]. 1869 x \ (x / T(x,y)) = T(x,y) \ 1. [hyper(58,a,407,a(flip),b,1867,a)]. 1870 x * (T(x,y) \ 1) = x / T(x,y). [hyper(114,a,1867,a(flip),b,407,a(flip))]. 1871 x / T(x,y) = T(x,y) \ x. [hyper(33,a,691,a,b,1869,a),flip(a)]. 1872 (T(x,y) \ x) \ x = T(x,y). [hyper(172,a,1871,a)]. 1873 (T(x,y) \ x) * T(x,y) = x. [hyper(125,a,1871,a)]. 1874 T(T(x,y),T(x,y) \ x) = T(x,y). [hyper(31,a,239,a,b,1871,a)]. 1875 T((T(x,y) \ x) * (x \ T(x,y)),y) = K(T(x,y),x / T(x,y)). [para(1871(a,1),1603(a,1,1,1))]. 1876 L(x,T(x,y) \ x,x) = x. [hyper(58,a,1713,a,b,1873,a)]. 1878 (x * y) * T(K(y,x),x) = y * x. [para(1876(a,1),1712(a,1,2)),flip(a)]. 1880 K(T(x,y),T(x,y) \ x) = 1. [hyper(50,a,1874,a)]. 1881 T(K(x,y),y) = K(x,y). [hyper(261,a,1878,a),flip(a)]. 1882 (x * K(y,x)) / x = K(y,x). [hyper(242,a,1881,a)]. 1883 T(x,K(y,x)) = x. [hyper(49,a,1881,a)]. 1884 K(x,y) * y = y * K(x,y). [hyper(114,a,1881,a(flip),b,17,a(flip)),flip(a)]. 1885 x * K(y,x) != z | K(y,x) * x = z. [para(1881(a,1),248(a,1,2))]. 1886 (x * K(y,x)) / x != z | K(y,x) = z. [para(1881(a,1),281(a,1,1,2))]. 1887 T(T(x,y),K(z,x)) = T(x,y). [para(1883(a,1),18(a,1,1)),flip(a)]. 1888 T(x,K(x,y)) = x. [para(28(a,1),1883(a,1,2))]. 1890 K(x,y) * T(y,z) != u | T(y,z) * K(x,y) = u. [para(1883(a,1),342(a,1,2,1))]. 1891 T(T(x,y),z) * K(u,x) = K(u,x) * T(T(x,y),z). [para(1883(a,1),388(a,1,2,1,1)),flip(a)]. 1892 T(x,y \ T(y,x)) = x. [para(887(a,1),1883(a,1,2))]. 1893 T(x,x \ ((y * x) / y)) = x. [para(1254(a,1),1883(a,1,2))]. 1894 T(x,K(T(x,y),z)) = x. [hyper(130,a,1888,a)]. 1895 T(K(x,y),x) = K(x,y). [hyper(49,a,1888,a)]. 1896 T(T(x,y),K(x,z)) = T(x,y). [para(1888(a,1),18(a,1,1)),flip(a)]. 1897 T(R(x,y,z),K(x,u)) = R(x,y,z). [para(1888(a,1),22(a,1,1)),flip(a)]. 1898 T(x,y) * K(x,z) = K(x,z) * T(x,y). [para(1888(a,1),212(a,1,2,1)),flip(a)]. 1899 T(x,y \ ((x * y) / x)) = x. [para(1414(a,1),1888(a,1,2))]. 1900 (x \ T(x,y)) * y != z | y * (x \ T(x,y)) = z. [para(1892(a,1),248(a,1,2))]. 1901 T(x / y,K(y \ x,z)) = x / y. [para(100(a,1),1894(a,1,2,1))]. 1902 K(x,y) * (x \ 1) = x \ K(x,y). [para(1895(a,1),676(a,1,1))]. 1903 x \ ((y * K(x,z)) / x) = (x \ y) * (x \ K(x,z)). [para(1895(a,1),1148(a,1,2,1,2))]. 1904 (x * K(y,x)) * L(z,x,K(y,x)) = K(y,x) * (x * z). [para(1884(a,1),87(a,1,1))]. 1905 T(K(x,y),T(y,z)) = K(x,y). [hyper(49,a,1887,a)]. 1906 ((x * y) / x) / y = y \ ((x * y) / x). [para(1893(a,1),239(a,1,2))]. 1907 (R(T(x,y),z,u) * K(x,w)) * v5 = (K(x,w) * R(T(x,y),z,u)) * v5. [para(1896(a,1),385(a,1,1,2,1)),flip(a)]. 1908 T(x,T(y,x) \ y) = x. [para(206(a,1),1899(a,1,2,2))]. 1909 T(T(x,y) \ x,y) = T(x,y) \ x. [hyper(49,a,1908,a)]. 1910 (T(x,y) \ x) * y = y * (T(x,y) \ x). [hyper(114,a,1908,a(flip),b,17,a(flip))]. 1911 K(x,y) != T(y,z) \ u | K(x,y) * T(y,z) = u. [para(1905(a,1),128(a,1))]. 1912 T(K(x,y),R(x,z,u)) = K(x,y). [hyper(49,a,1897,a)]. 1914 (x \ 1) * K(x,y) = x \ K(x,y). [hyper(933,a,1902,a)]. 1915 (x \ K(x,y)) * L(z,x \ 1,K(x,y)) = K(x,y) * ((x \ 1) * z). [para(1902(a,1),87(a,1,1))]. 1916 K(K(x,y),T(z,y) \ z) = 1. [para(1909(a,1),1505(a,1,2))]. 1917 K(x \ T(x,y),T(z,y) \ z) = 1. [para(887(a,1),1916(a,1,1))]. 1918 x \ K(x,y) != z * K(x,y) | x \ 1 = z. [para(1914(a,1),39(a,1))]. 1919 1 / (x \ T(x,y)) = (x \ T(x,y)) \ 1. [para(1917(a,1),1672(a,1,2)),flip(a)]. 1920 (x \ 1) * (x * ((y * (x \ 1)) / y)) = (y * (x \ 1)) / y. [hyper(114,a,1295,a(flip),b,1906,a(flip))]. 1921 T(x,R(T(y,x),T(y,x) \ 1,x)) = x * (T(y,x) \ y). [hyper(58,a,1377,a,b,1910,a)]. 1923 K((x * y) / y,y / (x * y)) = K(x,x \ 1). [hyper(58,a,1846,a(flip),b,1859,a)]. 1924 K(x,x \ 1) * (x * y) = T(x,x \ 1) * y. [para(1859(a,1),1724(a,1,1))]. 1925 K(x \ (y * x),(y * x) \ x) = K(y,y \ 1). [hyper(58,a,1851,a(flip),b,1923,a)]. 1926 L(x,y,K(y,y \ 1)) = x. [hyper(1061,a,1924,a(flip))]. 1927 (x * (1 / x)) * (x * y) = T(x,x \ 1) * y. [para(1050(a,1),1924(a,1,1))]. 1929 L(x,1 / y,K(y \ 1,y)) = x. [para(1053(a,1),1926(a,1,3))]. 1930 L(x,1 / (1 / y),K(y,y \ 1)) = x. [para(1070(a,1),1926(a,1,3))]. 1931 K(x \ 1,x) * ((x \ 1) \ y) = (1 / x) \ y. [hyper(58,a,1517,a(flip),b,1929,a)]. 1932 (x \ 1) \ (K(x \ 1,x) * y) = (1 / x) \ y. [hyper(58,a,959,a(flip),b,1929,a)]. 1933 K(x \ 1,x) * ((1 / x) * y) = (x \ 1) * y. [para(1929(a,1),958(a,1,2)),flip(a)]. 1934 K(x,x \ 1) * ((1 / (1 / x)) * y) = x * y. [para(1930(a,1),1062(a,1,2)),flip(a)]. 1935 K(T(x,y),(x * y) \ y) = K(x,x \ 1). [para(17(a,2),1925(a,1,1))]. 1936 K(T(x,y),T(x,y) \ 1) = K(x,x \ 1). [hyper(58,a,1671,a,b,1935,a)]. 1938 T(x,y) \ K(x,x \ 1) = 1 / T(x,y). [hyper(112,a,1936,a(flip),b,1050,a(flip))]. 1939 T(x,y) \ (1 / x) = x \ (1 / T(x,y)). [hyper(112,a,1938,a(flip),b,1054,a(flip)),flip(a)]. 1940 T(x,x \ 1) * (x \ y) = (x * (1 / x)) * y. [hyper(288,a,1927,a),flip(a)]. 1941 (x * (1 / x)) * ((1 / x) \ y) = (x \ 1) \ y. [hyper(1834,a,1931,a)]. 1942 ((1 / x) \ y) * K(x,x \ 1) = (x \ 1) \ y. [hyper(1825,a,1931,a)]. 1945 K(x \ 1,x) * R(1 / x,y,z) = (x \ 1) * (x * R(x \ 1,y,z)). [hyper(114,a,862,a(flip),b,1932,a),flip(a)]. 1946 (x * (1 / x)) * ((x \ 1) * y) = (1 / x) * y. [hyper(1834,a,1933,a)]. 1947 K(x,x \ 1) * ((x \ 1) * y) = (1 / x) * y. [hyper(1827,a,1933,a)]. 1948 ((x \ 1) * y) * K(x,x \ 1) = (1 / x) * y. [hyper(1825,a,1933,a)]. 1949 (1 / x) * (x * y) = L(y,x,x \ 1). [hyper(731,a,1933,a),flip(a)]. 1950 L(x \ 1,x,x \ 1) != y | 1 / x = y. [para(1949(a,1),194(a,1))]. 1951 (1 / (1 / x)) * (K(x,x \ 1) * y) = x * y. [hyper(1432,a,1934,a),flip(a)]. 1952 (x * (1 / x)) * (((x \ 1) \ 1) \ y) = x \ y. [hyper(58,a,1013,a(flip),b,1940,a),flip(a)]. 1953 (x \ 1) * ((x * (1 / x)) * y) = (1 / x) * y. [hyper(799,a,1941,a(flip))]. 1954 (x * (1 / x)) * (y * (x \ 1)) = (1 / x) * T(y,x \ 1). [para(98(a,1),1946(a,1,2))]. 1955 (1 / x) * ((x \ 1) \ y) = K(x,x \ 1) * y. [hyper(288,a,1947,a),flip(a)]. 1956 x * (K(x \ 1,x) * y) = (1 / (1 / x)) * y. [para(1816(a,1),1951(a,1,2)),flip(a)]. 1957 K(x \ 1,x) * (x \ y) = ((x \ 1) \ 1) \ y. [hyper(114,a,1952,a(flip),b,1832,a)]. 1958 K(x,x \ 1) * (((x \ 1) \ 1) \ y) = x \ y. [para(1050(a,2),1952(a,1,1))]. 1959 ((1 / (1 / x)) * y) / (K(x \ 1,x) * y) = x. [hyper(122,a,1956,a)]. 1960 R(x,K(x \ 1,x),y) = x. [hyper(969,a,1959,a)]. 1961 R(x,K(x,x \ 1),y) = x. [para(28(a,1),1960(a,1,2))]. 1962 R(1 / x,K(x \ 1,x),y) = 1 / x. [para(1053(a,1),1961(a,1,2))]. 1963 (R(1 / x,y,z) * K(x \ 1,x)) * (K(x \ 1,x) \ u) = R(1 / x,y,z) * u. [para(1962(a,1),628(a,1,1,1)),flip(a)]. 1966 (1 / x) * T(y,x \ 1) = y * (1 / x). [hyper(58,a,1763,a(flip),b,1954,a),flip(a)]. 1967 T(x,1 / y) = T(x,y \ 1). [hyper(215,a,1763,a(flip),b,1954,a(flip))]. 1968 (1 / x) \ (y * (1 / x)) = T(y,x \ 1). [hyper(112,a,1763,a(flip),b,1954,a(flip))]. 1970 T(x,(y \ 1) \ 1) = T(x,y). [para(72(a,1),1967(a,1,2)),flip(a)]. 1971 T(x,y \ 1) != (1 / y) \ z | z / (1 / y) = x. [para(1967(a,1),225(a,1))]. 1972 T(x,y \ 1) * y = (1 / y) \ x. [para(1967(a,1),673(a,1,1))]. 1974 T(x,T(y,y \ 1)) = T(x,y). [para(99(a,2),1970(a,1,2))]. 1975 T(x,R(1 / y,y,z)) = T(x,R(y \ 1,y,z)). [para(1735(a,1),1970(a,1,2)),flip(a)]. 1976 T(x,R(y \ 1,y,z)) = T(x,z / (y * z)). [para(1736(a,2),1970(a,1,2))]. 1977 T(x,x \ 1) * T(y,x) = y * T(x,x \ 1). [hyper(114,a,1974,a(flip),b,17,a(flip))]. 1979 T((1 / x) * y,x \ 1) = y / x. [hyper(113,a,4,a(flip),b,1972,a),flip(a)]. 1980 T(T(x,y),y \ 1) = y \ ((1 / y) \ x). [hyper(30,a,747,a,b,1972,a),flip(a)]. 1983 (x / y) / (y \ 1) = y * ((1 / y) * x). [hyper(113,a,1979,a(flip),b,378,a)]. 1984 (1 / x) * y != z * (1 / x) | T(z,x \ 1) = y. [para(1966(a,1),38(a,1)),flip(a)]. 1985 T(T(x,y \ 1),y) = (x * (1 / y)) * y. [para(1966(a,1),365(a,2,1))]. 1987 x * (x * ((1 / x) * y)) = (x * (y / x)) * x. [hyper(114,a,1983,a(flip),b,693,a)]. 1988 T(T(x,y),y \ 1) = (x * (1 / y)) * y. [hyper(354,a,1985,a)]. 1990 x \ T(y,R(x \ 1,x,y)) = y * ((x \ y) / y). [para(1976(a,2),925(a,1,2))]. 1991 T((x \ 1) \ y,x) = y * T(x,x \ 1). [hyper(1364,a,1977,a),flip(a)]. 1992 x * (y * T(x,x \ 1)) = ((x \ 1) \ y) * x. [hyper(114,a,1991,a(flip),b,17,a(flip))]. 1993 T(x,y) != z * T(y,y \ 1) | (y \ 1) \ z = x. [para(1991(a,1),44(a,1)),flip(a)]. 1994 x * (x * ((1 / x) * y)) = (x * x) * (x \ y). [hyper(272,a,1161,a(flip),b,1987,a),flip(a)]. 1996 L((1 / x) * y,x,x) = x \ y. [hyper(429,a,1994,a(flip))]. 1997 L(1 / x,x,x) = x \ 1. [para(3(a,1),1996(a,1,1))]. 1998 x \ ((1 / x) \ y) = L(y,x,x). [para(5(a,1),1996(a,1,1)),flip(a)]. 1999 L(x * (1 / y),y,y) = y \ T(x,y \ 1). [para(1966(a,1),1996(a,1,1))]. 2000 x * L(y,x,x) = (1 / x) \ y. [hyper(127,a,1998,a)]. 2001 T(T(x,y),y \ 1) = L(x,y,y). [hyper(58,a,1980,a,b,1998,a)]. 2002 L(x * y,x,x) = (x \ 1) \ y. [hyper(29,a,725,a(flip),b,2000,a),flip(a)]. 2003 x \ ((1 / x) \ y) != z | L(y,x,x) = z. [para(2000(a,1),287(a,1,2))]. 2004 (x * y) * L(y,x,x) = ((1 / x) \ y) * y. [para(2000(a,1),1380(a,1,1)),flip(a)]. 2005 (x * y) * (y \ 1) = L(x,y,y). [hyper(640,a,2001,a)]. 2006 (x * (1 / y)) * y = L(x,y,y). [hyper(58,a,1988,a(flip),b,2001,a)]. 2007 L(x,y,y) / y = x * (1 / y). [hyper(113,a,2001,a(flip),b,1988,a(flip))]. 2008 L(x,y,y) / (y \ 1) = x * y. [hyper(113,a,2001,a(flip),b,413,a(flip))]. 2009 (x * y) \ L(x,y,y) = y \ 1. [hyper(112,a,2001,a(flip),b,413,a(flip))]. 2010 L(x * y,x,x) != z | (x \ 1) \ y = z. [para(2001(a,1),699(a,1))]. 2011 (x * x) * ((x \ 1) \ y) = x * (x * (x * y)). [hyper(114,a,2002,a(flip),b,13,a(flip))]. 2012 L(x,x,x) = (x \ 1) \ 1. [para(3(a,1),2002(a,1,1))]. 2013 (x \ 1) \ (x \ y) = L(y,x,x). [para(5(a,1),2002(a,1,1)),flip(a)]. 2014 L(x,y,y) != (y \ 1) \ z | y * z = x. [para(2002(a,1),45(a,1)),flip(a)]. 2015 1 / L(x,x,x) = x \ 1. [hyper(178,a,2012,a(flip))]. 2016 (x \ 1) \ 1 != y | L(x,x,x) = y. [para(2015(a,1),290(a,1,1))]. 2017 L(x,x \ y,x \ y) = y * ((x \ y) \ 1). [hyper(485,a,2005,a),flip(a)]. 2018 L((x \ 1) \ y,x \ 1,z * x) = L(z,x,x) \ ((z * x) * y). [para(2005(a,1),89(a,2,1))]. 2019 x \ ((y * (z * x)) / x) = (x \ y) * L(z,x,x). [para(2005(a,1),1136(a,1,2)),flip(a)]. 2020 L(x / (1 / y),y,y) = x * y. [hyper(278,a,2006,a),flip(a)]. 2021 ((x * (y * (1 / z))) * z) / L(y,z,z) = R(x,y * (1 / z),z). [para(2006(a,1),15(a,2,2)),flip(a)]. 2022 x * ((y * (z * (1 / x))) * x) = ((1 / x) \ y) * L(z,x,x). [para(2006(a,1),27(a,1,2)),flip(a)]. 2026 (x * y) * (y \ 1) != z | L(x,y,y) = z. [para(2008(a,1),227(a,1,1))]. 2027 x * ((x \ y) * L(z,x,x)) = (y * (z * x)) / x. [para(2008(a,1),1164(a,1,1,2)),flip(a)]. 2028 (x * y) \ z != y \ 1 | L(x,y,y) = z. [para(2009(a,1),42(a,1)),flip(a)]. 2029 (x \ 1) \ (x \ y) = (y * (1 / x)) * x. [hyper(272,a,2006,a,b,2013,a),flip(a)]. 2030 (x \ 1) * L(y,x,x) = x \ y. [hyper(127,a,2013,a)]. 2031 (x \ 1) \ y != L(z,x,x) * (u * ((x \ 1) \ 1)) | ((x \ z) * u) / (x \ 1) = y. [para(2013(a,1),1146(a,2,1))]. 2032 (x * y) / (y \ 1) = (x / (1 / y)) * y. [hyper(113,a,2020,a(flip),b,2005,a)]. 2033 L(x,y,y) != z * y | z / (1 / y) = x. [para(2020(a,1),45(a,1)),flip(a)]. 2037 T(x \ y,y \ x) != z | L(x \ y,x \ y,x \ y) = z. [para(1551(a,2),2016(a,1))]. 2038 x \ T(y,x \ 1) != z | L(y * (1 / x),x,x) = z. [para(1968(a,1),2003(a,1,2))]. 2039 T(T(x,y),y \ 1) != z | L(x,y,y) = z. [para(1980(a,2),2003(a,1))]. 2040 L(x,x,x) != y | (x \ 1) \ 1 = y. [para(3(a,1),2010(a,1,1))]. 2041 L(x,y,y) != z | (y \ 1) \ (y \ x) = z. [para(5(a,1),2010(a,1,1))]. 2042 L(x * (L(x,y,z) * u),L(x,y,z),L(x,y,z)) != w | (L(x,y,z) \ 1) \ (x * u) = w. [para(1270(a,1),2010(a,1,1))]. 2043 (x \ 1) \ y != z | L(x * y,x,x) = z. [para(723(a,1),2026(a,1))]. 2046 (x * x) * y != x * (x * (x * z)) | (x \ 1) \ z = y. [para(2011(a,1),38(a,1)),flip(a)]. 2047 (x * (((y \ x) \ 1) * y)) / y = y * a(y \ x,y,y). [hyper(1205,a,2019,a),flip(a)]. 2048 (x \ ((1 / x) \ y)) * L(z,x,x) = x \ ((x * ((y * z) * x)) / x). [para(27(a,1),2019(a,1,2,1)),flip(a)]. 2050 T((T(x,y) \ x) * (x \ T(x,y)),y) = K(T(x,y),T(x,y) \ x). [para(1871(a,1),1875(a,2,2))]. 2051 T((T(x,y) \ x) * (x \ T(x,y)),y) = 1. [hyper(272,a,1880,a(flip),b,2050,a),flip(a)]. 2053 (T(x,y) \ x) * (x \ T(x,y)) = 1. [hyper(183,a,2051,a),flip(a)]. 2054 1 / (x \ T(x,y)) = T(x,y) \ x. [hyper(122,a,2053,a)]. 2056 (x \ T(x,y)) \ 1 = T(x,y) \ x. [hyper(58,a,1919,a(flip),b,2054,a)]. 2057 T(x / y,y) \ (x / y) = ((x / y) \ (y \ x)) \ 1. [para(100(a,1),2056(a,1,1,2)),flip(a)]. 2058 ((x / y) \ (y \ x)) \ 1 = (y \ x) \ (x / y). [para(100(a,1),2057(a,1,1)),flip(a)]. 2059 (x \ (x * y)) \ ((x * y) / x) = (((x * y) / x) \ y) \ 1. [para(4(a,1),2058(a,1,1,2)),flip(a)]. 2060 (((x * y) / x) \ y) \ 1 = y \ ((x * y) / x). [para(4(a,1),2059(a,1,1)),flip(a)]. 2061 1 / (x \ ((y * x) / y)) = ((y * x) / y) \ x. [hyper(178,a,2060,a)]. 2063 K(x \ 1,x) * R(1 / x,y,z) = R(x \ 1,y,z). [hyper(272,a,1684,a(flip),b,1945,a),flip(a)]. 2064 R(1 / x,y,z) * K(x \ 1,x) = R(x \ 1,y,z). [hyper(1633,a,2063,a)]. 2065 R(x \ 1,y,z) * (K(x \ 1,x) \ u) = R(1 / x,y,z) * u. [para(2064(a,1),1963(a,1,1))]. 2066 R(x \ 1,y,z) * (K(x,x \ 1) * u) = R(1 / x,y,z) * u. [para(1820(a,1),2065(a,1,2))]. 2067 K(x,x \ 1) * T(K(x,x \ 1) \ y,z) = x * ((1 / x) * T((1 / x) \ (x \ y),z)). [para(1050(a,2),1231(a,1,2,1,1))]. 2068 ((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) / y = L(x * T(x \ 1,y),y,1 / y). [hyper(272,a,233,a(flip),b,1541,a),flip(a)]. 2069 L(x * T(x \ 1,y),y,1 / y) = (y * (x * T(x \ 1,y))) / y. [para(1540(a,1),2068(a,1,1)),flip(a)]. 2070 (x * (((x * y) \ x) * T(((x * y) \ x) \ 1,x))) / x = L(K(y,x),x,1 / x). [para(1040(a,2),2069(a,1,1)),flip(a)]. 2071 L(K(x,y),y,1 / y) = (y * K(x,y)) / y. [para(1040(a,2),2070(a,1,1,2)),flip(a)]. 2072 L(K(x,y),y,1 / y) = K(x,y). [hyper(272,a,1882,a(flip),b,2071,a),flip(a)]. 2073 (1 / x) * (x * K(y,x)) = K(y,x). [hyper(325,a,2072,a)]. 2074 K(x,y) / (y * K(x,y)) = 1 / y. [hyper(113,a,2072,a(flip),b,233,a)]. 2075 K(x,x \ 1) * T(K(x,x \ 1) \ y,z) = x * (T((x \ y) * x,z) / x). [para(578(a,1),2067(a,2,2))]. 2076 K(x,x \ 1) * T(K(x,x \ 1) \ y,x) = T(y,x). [hyper(272,a,1220,a(flip),b,2075,a),flip(a)]. 2077 K(x,x \ 1) * T(K(x \ 1,x) * y,z) = x * (T((x \ y) * x,z) / x). [para(1817(a,1),2075(a,1,2,1))]. 2078 T(x * K(y,y \ 1),y) = T(x,y) * K(y,y \ 1). [hyper(356,a,2076,a),flip(a)]. 2079 T((x / y) * K(y,y \ 1),y) = (y \ x) * K(y,y \ 1). [para(100(a,1),2078(a,2,1))]. 2080 x * ((x \ y) * K(x,x \ 1)) = y * K(x,x \ 1). [hyper(114,a,2079,a(flip),b,1514,a(flip))]. 2081 (x * y) * K(x,x \ 1) = x * (y * K(x,x \ 1)). [para(4(a,1),2080(a,1,2,1)),flip(a)]. 2082 R(x,y,K(x,x \ 1)) = x. [hyper(453,a,2081,a)]. 2083 R(x \ 1,y,K(x \ 1,x)) = x \ 1. [para(1059(a,1),2082(a,1,3))]. 2084 (R(x \ 1,y,z) * ((y * z) / K(x \ 1,x))) * K(x \ 1,x) = ((x \ 1) * y) * z. [para(2083(a,1),909(a,1,1,1)),flip(a)]. 2085 (R(x \ 1,y,z) * (K(x,x \ 1) * (y * z))) * K(x \ 1,x) = ((x \ 1) * y) * z. [para(1818(a,1),2084(a,1,1,2))]. 2086 (R(1 / x,y,z) * (y * z)) * K(x \ 1,x) = ((x \ 1) * y) * z. [para(2066(a,1),2085(a,1,1))]. 2087 (((1 / x) * y) * z) * K(x \ 1,x) = ((x \ 1) * y) * z. [para(93(a,1),2086(a,1,1))]. 2088 K(x,x \ 1) * (((x \ 1) * y) * z) = ((1 / x) * y) * z. [hyper(1821,a,2087,a)]. 2089 (((x \ 1) * y) * z) * K(x,x \ 1) = ((1 / x) * y) * z. [hyper(1814,a,2087,a)]. 2090 ((1 / x) * ((x \ 1) \ y)) * z = K(x,x \ 1) * (y * z). [para(5(a,1),2088(a,1,2,1)),flip(a)]. 2091 (K(x,x \ 1) * y) * z = K(x,x \ 1) * (y * z). [para(1955(a,1),2090(a,1,1))]. 2092 L(x,y,K(z,z \ 1)) = x. [hyper(429,a,2091,a)]. 2093 (K(x,x \ 1) * y) * z = (y * z) * K(x,x \ 1). [hyper(272,a,1635,a(flip),b,2091,a),flip(a)]. 2094 (K(x,x \ 1) * y) \ (K(x,x \ 1) * z) = y \ z. [hyper(112,a,137,a(flip),b,2091,a)]. 2095 a(x,K(y,y \ 1),z) = 1. [hyper(1202,a,2092,a)]. 2096 L(x,y,K(z \ 1,z)) = x. [para(28(a,1),2092(a,1,3))]. 2097 L(x,K(y,y \ 1),z) = x. [hyper(47,a,2095,a)]. 2098 (K(x \ 1,x) * y) * z = K(x \ 1,x) * (y * z). [hyper(1105,a,2096,a),flip(a)]. 2101 (K(x \ 1,x) * y) \ (K(x \ 1,x) * z) = y \ z. [hyper(58,a,89,a(flip),b,2096,a)]. 2102 L(x,y,K(z \ 1,z)) != u | x = u. [para(2096(a,1),45(a,2))]. 2103 (K(x \ 1,x) * y) / z = K(x \ 1,x) * (y / z). [para(2096(a,1),471(a,1,2))]. 2104 (x * K(y \ 1,y)) * z = K(y \ 1,y) * (x * z). [para(2096(a,1),1645(a,1,2))]. 2105 a(x,y,K(z,z \ 1)) = 1. [hyper(1202,a,2097,a)]. 2106 (x * K(y,y \ 1)) * z = x * (K(y,y \ 1) * z). [hyper(1105,a,2097,a),flip(a)]. 2107 L(x,K(y \ 1,y),z) = x. [para(28(a,1),2097(a,1,2))]. 2108 (x / (K(y,y \ 1) * z)) * K(y,y \ 1) = x / z. [para(2097(a,1),312(a,1,2)),flip(a)]. 2110 L(K(x,x \ 1),y,z) = K(x,x \ 1). [hyper(47,a,2105,a)]. 2111 (x * K(y \ 1,y)) * z = x * (K(y \ 1,y) * z). [hyper(1105,a,2107,a),flip(a)]. 2113 (x * (K(y \ 1,y) * z)) / z = x * K(y \ 1,y). [para(2107(a,1),169(a,1,2))]. 2115 (x * y) * K(z,z \ 1) = x * (y * K(z,z \ 1)). [hyper(114,a,2110,a(flip),b,13,a(flip))]. 2116 K(x,x \ 1) * (y * z) = y * (z * K(x,x \ 1)). [para(2110(a,1),1643(a,1,1))]. 2117 (x * K(y,y \ 1)) / z = K(y,y \ 1) * (x / z). [hyper(113,a,135,a(flip),b,2093,a)]. 2119 (K(x,x \ 1) * y) \ z = y \ (z * K(x \ 1,x)). [para(1808(a,1),2094(a,1,2))]. 2120 (K(x \ 1,x) * y) \ z = y \ (K(x,x \ 1) * z). [para(1816(a,1),2094(a,1,1)),flip(a)]. 2121 ((K(x \ 1,x) * (y * z)) * u) / (z * u) = R(K(x \ 1,x) * y,z,u). [para(2098(a,1),15(a,2,1,1)),flip(a)]. 2122 K(x \ 1,x) * ((y * (1 / x)) * z) = (y * (x \ 1)) * z. [para(1822(a,1),2098(a,1,1)),flip(a)]. 2123 (K(x \ 1,x) * y) \ z = y \ ((x * (1 / x)) * z). [para(1828(a,1),2101(a,1,2))]. 2124 ((x \ 1) * y) \ (K(x \ 1,x) * z) = ((1 / x) * y) \ z. [para(1933(a,1),2101(a,1,1))]. 2125 T(K(x \ 1,x) * (y / z),z) = z \ (K(x \ 1,x) * y). [para(2103(a,1),100(a,1,1))]. 2126 (K(x \ 1,x) * (y * (z * u))) \ (((y * K(x \ 1,x)) * z) * u) = a(y * K(x \ 1,x),z,u). [para(2104(a,1),9(a,2,1)),flip(a)]. 2127 (K(x \ 1,x) * (y * z)) \ ((y * K(x \ 1,x)) * (z * u)) = L(u,z,y * K(x \ 1,x)). [para(2104(a,1),13(a,2,1)),flip(a)]. 2129 (x * K(y,y \ 1)) * z = x * (z * K(y,y \ 1)). [hyper(272,a,1646,a(flip),b,2106,a),flip(a)]. 2130 (K(x,x \ 1) * y) * z = y * (K(x,x \ 1) * z). [para(1635(a,2),2106(a,1,1))]. 2131 (x \ 1) * (K(y,y \ 1) * z) = (x \ K(y,y \ 1)) * z. [para(1650(a,1),2106(a,1,1)),flip(a)]. 2132 x / (K(y,y \ 1) * z) = K(y \ 1,y) * (x / z). [hyper(1824,a,2108,a),flip(a)]. 2134 K(x \ 1,x) * (y * z) = y * (K(x \ 1,x) * z). [hyper(58,a,2104,a(flip),b,2111,a)]. 2136 (x * y) * K(z \ 1,z) = x * (y * K(z \ 1,z)). [hyper(114,a,2113,a(flip),b,1128,a(flip)),flip(a)]. 2137 (x * y) / (K(z,z \ 1) * y) = x * K(z \ 1,z). [para(1815(a,1),2113(a,1,1,2))]. 2138 R(x,y,K(z,z \ 1)) = x. [hyper(453,a,2115,a)]. 2139 R(x,y,K(z \ 1,z)) = x. [para(28(a,1),2138(a,1,3))]. 2142 x \ (K(y,y \ 1) * z) = (x \ z) * K(y,y \ 1). [para(2138(a,1),1647(a,1,1))]. 2143 R(x,y,L(K(z,z \ 1),u,w)) = x. [para(2110(a,2),2138(a,1,3))]. 2144 x \ (y * K(z \ 1,z)) = (x \ y) * K(z \ 1,z). [para(2139(a,1),445(a,1,1))]. 2145 (x * y) \ ((x * (y * z)) * K(u \ 1,u)) = L(z,y,x) * K(u \ 1,u). [para(2139(a,1),470(a,1,1))]. 2147 R(x,y,L(K(z \ 1,z),u,w)) = x. [para(28(a,1),2143(a,1,3,1))]. 2148 K(x,x \ 1) * (y * z) = y * (K(x,x \ 1) * z). [hyper(272,a,1646,a,b,2116,a),flip(a)]. 2150 (x * y) * K(z \ 1,z) = x * (K(z \ 1,z) * y). [hyper(1633,a,2134,a)]. 2151 x \ (K(y \ 1,y) * z) = K(y \ 1,y) * (x \ z). [hyper(518,a,2134,a)]. 2153 ((K(x \ 1,x) * y) * z) \ (K(x \ 1,x) * (z * y)) = K(z,K(x \ 1,x) * y). [hyper(112,a,2134,a,b,81,a)]. 2154 (x * (K(y \ 1,y) * (z * u))) \ ((x * z) * (K(y \ 1,y) * u)) = a(x,z,K(y \ 1,y) * u). [para(2134(a,2),9(a,2,1,2)),flip(a)]. 2155 (K(x \ 1,x) * (y * z)) \ ((K(x \ 1,x) * z) * y) = K(K(x \ 1,x) * z,y). [para(2134(a,2),11(a,2,1)),flip(a)]. 2156 K(x \ 1,x) * (y * (K(x,x \ 1) * z)) = y * z. [para(1815(a,1),2134(a,2,2))]. 2157 K(x \ 1,x) * (y * (z * (x * (1 / x)))) = y * z. [para(1826(a,1),2134(a,2,2))]. 2158 (x * (K(y \ 1,y) * z)) \ u = (x * z) \ ((y * (1 / y)) * u). [para(2134(a,1),2123(a,1,1))]. 2159 R(x * K(y \ 1,y),K(y,y \ 1) * z,u) = ((x * z) * u) / ((K(y,y \ 1) * z) * u). [para(2137(a,1),94(a,1,1))]. 2161 (K(x \ 1,x) * y) \ z = (y \ z) * K(x,x \ 1). [hyper(58,a,2120,a,b,2142,a)]. 2162 x \ (y * K(z \ 1,z)) = K(z \ 1,z) * (x \ y). [hyper(272,a,1628,a,b,2144,a),flip(a)]. 2163 (x \ (1 / y)) * K(y \ 1,y) = x \ (y \ 1). [para(634(a,1),2144(a,1,2)),flip(a)]. 2164 x \ (y * K(z \ 1,z)) != u | K(z \ 1,z) * (x \ y) = u. [para(2144(a,2),1629(a,1))]. 2165 K(x,x \ 1) * (y \ (x \ 1)) = y \ (1 / x). [hyper(1821,a,2163,a)]. 2167 x / (y * (K(z,z \ 1) * u)) = K(z \ 1,z) * (x / (y * u)). [para(2148(a,1),2132(a,1,2))]. 2168 (x * (K(y \ 1,y) * z)) * u = (x * z) * (K(y \ 1,y) * u). [para(2150(a,1),2111(a,1,1))]. 2169 x \ (K(y \ 1,y) * z) != u | (x \ z) * K(y \ 1,y) = u. [para(2151(a,2),1633(a,1))]. 2170 K(x \ 1,x) * (y \ ((x * (1 / x)) * z)) = y \ z. [para(1828(a,1),2151(a,1,2)),flip(a)]. 2171 (K(x,x \ 1) * y) \ z = K(x \ 1,x) * (y \ z). [hyper(58,a,2119,a,b,2162,a)]. 2172 (1 / x) \ ((y * (1 / x)) * z) = (x \ 1) \ ((y * (x \ 1)) * z). [para(2122(a,1),1932(a,1,2)),flip(a)]. 2173 ((x \ 1) * y) \ (K(x \ 1,x) * (y * (1 / x))) = K(y,1 / x). [hyper(272,a,11,a,b,2124,a),flip(a)]. 2174 T(K(x \ 1,x) * (y / z),z) = K(x \ 1,x) * (z \ y). [hyper(272,a,2151,a(flip),b,2125,a),flip(a)]. 2175 K(x \ 1,x) * (y \ (z * y)) = T(K(x \ 1,x) * z,y). [para(6(a,1),2174(a,1,1,2)),flip(a)]. 2176 T(K(x \ 1,x) * y,z) = K(x \ 1,x) * T(y,z). [para(17(a,2),2175(a,1,2)),flip(a)]. 2177 K(x,x \ 1) * T(K(x \ 1,x) * y,z) = T(y,z). [hyper(114,a,2176,a,b,1817,a)]. 2178 x * (T((x \ y) * x,z) / x) = T(y,z). [hyper(58,a,2077,a(flip),b,2177,a)]. 2179 T((x \ y) * x,z) / x = x \ T(y,z). [hyper(112,a,2177,a(flip),b,2077,a(flip)),flip(a)]. 2182 x * (T(x,y) / x) = T(x,y). [para(151(a,1),2178(a,1,2,1,1))]. 2183 T((x \ y) * x,z) = (x \ T(y,z)) * x. [para(2178(a,1),76(a,1,1,2)),flip(a)]. 2184 T(x * (y / x),z) = x * (T(y,z) / x). [para(76(a,1),2178(a,1,2,1,1)),flip(a)]. 2185 T(x,y) / x = x \ T(x,y). [hyper(117,a,2182,a),flip(a)]. 2186 (x \ T(x,y)) * x = T(x,y). [para(2182(a,1),76(a,1,1,2))]. 2188 (x \ 1) * (x * T(x \ 1,y)) = T(x \ 1,y). [para(405(a,1),2182(a,1,2))]. 2189 x \ T(x,R(y,y \ 1,x)) = y \ ((x * y) / x). [hyper(1378,a,2185,a),flip(a)]. 2190 (x \ 1) \ T(x \ 1,y) = x * T(x \ 1,y). [hyper(510,a,2185,a),flip(a)]. 2191 (x \ T(x,y)) * (1 / T(x,y)) = 1 / x. [para(2185(a,1),1607(a,1,1))]. 2192 T(x,R(1 / y,y,x)) = T(x,x / (x * y)). [hyper(58,a,1268,a,b,2186,a)]. 2193 T(x,y) * z != (x \ T(x,y)) * (x * u) | L(u,x,x \ T(x,y)) = z. [para(2186(a,1),429(a,1,1))]. 2194 T(x * y,z) / y = y \ T(y * x,z). [para(4(a,1),2179(a,1,1,1,1))]. 2200 (x \ T(x * y,z)) * x = T(y * x,z). [para(4(a,1),2183(a,1,1,1)),flip(a)]. 2201 T((x \ y) * x,z) != u * x | x \ T(y,z) = u. [para(2183(a,2),39(a,1))]. 2202 T((x \ (y / z)) * x,z) = (x \ (z \ y)) * x. [para(100(a,1),2183(a,2,1,2))]. 2203 x * (y * (T(z,x) / y)) = (y * (z / y)) * x. [hyper(114,a,2184,a(flip),b,17,a(flip))]. 2204 T(x * (y / x),z) != x * u | T(y,z) / x = u. [para(2184(a,2),38(a,1))]. 2206 T(x \ T(x * y,z),x) = x \ T(y * x,z). [para(2194(a,1),100(a,1,1))]. 2209 T(x,R(y \ 1,y,x)) = T(x,x / (x * y)). [hyper(58,a,1975,a(flip),b,2192,a)]. 2211 (x * T(x \ 1,y)) \ 1 = T(x \ 1,y) \ (x \ 1). [para(2190(a,1),2056(a,1,1))]. 2212 (x * ((y \ (x \ z)) * y)) / x = (y \ (z / x)) * y. [hyper(242,a,2202,a)]. 2213 ((x \ (y / z)) * x) * z = z * ((x \ (z \ y)) * x). [hyper(114,a,2202,a(flip),b,17,a(flip)),flip(a)]. 2214 (x * ((y / z) / x)) * z = z * (x * ((z \ y) / x)). [para(100(a,1),2203(a,1,2,2,1)),flip(a)]. 2215 (x * (((y * z) / y) / x)) * y = y * (x * (z / x)). [para(205(a,1),2203(a,1,2,2,1)),flip(a)]. 2216 T(x,R(y,y \ 1,x)) \ x = 1 / (y \ ((x * y) / x)). [para(2189(a,1),2054(a,1,2)),flip(a)]. 2217 T((x \ y) \ 1,z) \ ((x \ y) \ 1) = (x \ (y * T(y \ x,z))) \ 1. [para(1036(a,1),2211(a,1,1)),flip(a)]. 2218 ((x \ (y / z)) * x) * z != u | z * ((x \ (z \ y)) * x) = u. [para(2212(a,1),227(a,1,1))]. 2219 (x \ ((y * (x * z)) / y)) * x = (y * (z * x)) / y. [para(62(a,1),2212(a,1,1,2,1)),flip(a)]. 2220 (x * y) * T((x * y) \ z,x) = y * ((x \ (y \ z)) * x). [hyper(989,a,2213,a)]. 2221 (x * (x * y)) / x = T(x,y * x) * y. [para(835(a,1),2219(a,1,1)),flip(a)]. 2222 ((x * (x * y)) / x) / y = T(x,y * x). [hyper(113,a,2221,a,b,xx)]. 2223 T(T(x,y * x) * y,x) = x * y. [para(2221(a,1),205(a,1,1))]. 2225 T(x,y) * T(y,x) = x * y. [hyper(1028,a,2223,a)]. 2226 T(x,y) * (y * x) = x * (x * y). [hyper(114,a,2223,a(flip),b,748,a(flip)),flip(a)]. 2227 (x / T(y,x)) * y = T(x,y). [hyper(1246,a,2225,a)]. 2228 x * (T(x,y) \ y) = T(y,x). [hyper(1016,a,2225,a)]. 2229 T(x,T(y,x)) = T(x,y). [hyper(337,a,2225,a)]. 2230 T(x,y) \ (x * y) = T(y,x). [hyper(117,a,2225,a)]. 2231 R(x,T(y,z),T(z,y)) * (y * z) = (x * T(y,z)) * T(z,y). [hyper(114,a,2225,a(flip),b,166,a)]. 2232 T(x,y / x) * (x \ y) = x * (y / x). [para(100(a,1),2225(a,1,2))]. 2233 T(x \ y,x) = ((x \ y) \ y) \ y. [hyper(573,a,2229,a),flip(a)]. 2234 T(x,L(T(y,x),z,u)) = T(x,L(y,z,u)). [para(20(a,2),2229(a,1,2))]. 2235 T(x,y / x) = T(x,x \ y). [para(100(a,1),2229(a,1,2)),flip(a)]. 2236 T(x \ 1,y * (x \ 1)) = T(x \ 1,x \ y). [para(383(a,1),2229(a,1,2))]. 2237 T(x,y) * R(T(y,x),z,u) = R(y,z,u) * T(x,y). [para(2229(a,1),214(a,1,2,1))]. 2238 T(x,T(y,y * x)) = T(x,L(y,x,y)). [para(598(a,1),2229(a,1,2))]. 2239 T(x \ y,x) != z | ((x \ y) \ y) \ y = z. [para(2229(a,1),573(a,1))]. 2240 T(x,y) / y = x / T(y,x). [hyper(122,a,2227,a)]. 2241 x / T(y \ 1,x) = y * x. [hyper(30,a,378,a,b,2227,a),flip(a)]. 2242 x / T(y,x) = (1 / y) * x. [hyper(30,a,365,a(flip),b,2227,a),flip(a)]. 2243 T(x,y) / y != z | x / T(y,x) = z. [para(2227(a,1),279(a,1,1))]. 2245 T(x,y) \ y = x \ T(y,x). [hyper(117,a,2228,a),flip(a)]. 2246 T(1 / x,y) \ y = (1 / x) \ T(y,x \ 1). [hyper(112,a,1967,a(flip),b,2228,a),flip(a)]. 2247 x \ T(y,x) != z | T(x,y) \ y = z. [para(2228(a,1),287(a,1,2))]. 2248 x \ T(y,x) != z * u | z \ (T(x,y) \ y) = u. [para(2228(a,1),285(a,1,2))]. 2249 T(x,y) = (x \ (y * x)) \ (y * x). [para(17(a,1),2230(a,1,1)),flip(a)]. 2252 T(x,y / x) = (x \ y) \ y. [hyper(272,a,99,a(flip),b,2235,a),flip(a)]. 2253 (x * y) \ (y * T(x,x \ y)) = a(x,y / x,x). [para(2235(a,1),778(a,1,2,2))]. 2254 x \ (x / T(y,x)) = T(1 / y,x). [hyper(359,a,2240,a(flip),b,369,a(flip)),flip(a)]. 2255 (T(x,y) / y) \ x = T(y,x). [hyper(172,a,2240,a(flip))]. 2256 (x / T(y,x)) / x = 1 / y. [hyper(113,a,2240,a(flip),b,369,a(flip))]. 2257 T((x / y) \ 1,y) = x \ y. [hyper(295,a,2241,a),flip(a)]. 2258 T(x \ 1,y) = (x * y) \ y. [hyper(172,a,2241,a),flip(a)]. 2259 (x * y) * T(x \ 1,y) = y. [hyper(125,a,2241,a)]. 2260 (x * y) \ y != z | T(x \ 1,y) = z. [para(2241(a,1),290(a,1,1))]. 2261 T(x,y) = ((1 / x) * y) \ y. [hyper(172,a,2242,a),flip(a)]. 2263 ((x / T(y,x)) * z) * y = y \ (x * (z * y)). [para(2242(a,2),664(a,1,1,1))]. 2264 T(x,y) * L(x \ T(y,x),z,u) = T(x * L(x \ y,z,u),y). [para(2245(a,1),1595(a,1,2,1))]. 2265 T(x,x * y) * R(x \ T(x * y,x),z,u) = T(x * R(y,z,u),x * y). [para(2245(a,1),1660(a,1,2,1))]. 2266 ((x / y) * ((y \ x) \ x)) / (x / y) = y. [hyper(242,a,2252,a)]. 2268 (x * (y / x)) * x = y * ((x \ y) \ y). [para(2252(a,1),660(a,2,2))]. 2269 x / T(y,x) != z | T(x,y) / y = z. [para(2255(a,1),280(a,1,2))]. 2270 (x / (x * L(x \ 1,y,z))) / x = 1 / (x * L(x \ 1,y,z)). [para(867(a,1),2256(a,1,1,2))]. 2271 T((x / (1 / y)) \ 1,y \ 1) = x \ (1 / y). [hyper(58,a,1967,a(flip),b,2257,a)]. 2272 ((x / y) \ 1) * y = y * (x \ y). [hyper(114,a,2257,a(flip),b,17,a(flip)),flip(a)]. 2273 T(x,y) != z \ y | (z / y) \ 1 = x. [para(2257(a,1),44(a,1)),flip(a)]. 2274 ((x / y) \ 1) * T((x / y) \ 1,y) = (x \ y) * ((x / y) \ 1). [para(2257(a,1),218(a,1,1)),flip(a)]. 2275 T(((1 / x) * y) \ 1,x) = T(y,x) \ x. [para(369(a,1),2257(a,1,1,1))]. 2276 x \ ((y / x) \ 1) = (y \ x) * (x \ 1). [para(2257(a,1),676(a,1,1)),flip(a)]. 2277 T(T(x,y) \ 1,y \ 1) = (y \ x) \ (y \ 1). [para(678(a,2),2257(a,1,1,1))]. 2278 T(L(x / y,z,u) \ 1,y) = (y * L(y \ x,z,u)) \ y. [para(559(a,1),2257(a,1,1,1))]. 2280 T(x \ 1,y) \ z = ((x * y) \ y) \ z. [hyper(56,a,2258,a)]. 2281 T(x,y) != (z * y) \ y | z \ 1 = x. [para(2258(a,1),44(a,1)),flip(a)]. 2282 x * (T(y \ 1,x) * (y \ 1)) = y \ (x / y). [para(2259(a,1),1132(a,1,2,1)),flip(a)]. 2284 T(x \ y,x) != z \ y | (x \ y) \ y = z. [para(2233(a,2),43(a,1))]. 2285 T(x,y \ 1) \ (y \ 1) != z | T((y * x) \ 1,y \ 1) = z. [para(378(a,1),2260(a,1,1))]. 2286 ((1 / x) \ y) \ x != z | T(T(y,x \ 1) \ 1,x) = z. [para(1972(a,1),2260(a,1,1))]. 2287 (1 / x) * y != z | T(y,x) / x = z. [para(2242(a,1),2269(a,1))]. 2288 T(x,y \ 1) != T(z,y \ 1) \ (y \ 1) | (y * z) \ 1 = x. [para(378(a,1),2281(a,2,1))]. 2290 ((x \ y) \ y) * (x \ y) = x * (y / x). [para(2252(a,1),2232(a,1,1))]. 2291 T(x / (x / y),y \ x) = y. [hyper(58,a,858,a(flip),b,2266,a)]. 2292 ((x \ y) * x) / (x \ y) = y / (y / x). [hyper(242,a,2291,a)]. 2294 T(x,y \ z) != y | z / (z / y) = x. [para(2291(a,1),44(a,1)),flip(a)]. 2297 K((x \ y) \ y,x \ y) = y \ (x * (y / x)). [hyper(112,a,2290,a(flip),b,259,a),flip(a)]. 2298 (x * (y \ x)) / (x / y) = (y \ x) * y. [hyper(1264,a,2292,a)]. 2299 ((x \ y) * x) * (y / x) = y * (x \ y). [hyper(125,a,2298,a)]. 2300 x * (y \ T(1 / y,x)) = y \ (x / y). [para(689(a,1),2282(a,1,2))]. 2301 K((x \ y) \ y,x \ y) = K(x,y / x). [hyper(272,a,83,a(flip),b,2297,a),flip(a)]. 2302 K(T(x,x \ y),x \ y) = K(x,y / x). [para(99(a,2),2301(a,1,1))]. 2303 K(T(x,y),x \ (x * y)) = K(x,(x * y) / x). [para(4(a,1),2302(a,1,1,2))]. 2304 K(T(x,y),y) = K(x,(x * y) / x). [para(4(a,1),2303(a,1,2))]. 2305 (x * y) * K(x,(x * y) / x) = T(x,y) * y. [para(2304(a,1),262(a,1,2))]. 2306 T(x,y) * y = x * ((x * y) / x). [hyper(353,a,2305,a),flip(a)]. 2307 x \ (T(x,y) * y) = (x * y) / x. [hyper(112,a,2305,a(flip),b,260,a(flip))]. 2308 T(x,x / (x / y)) = T(x,y). [hyper(30,a,1314,a,b,2306,a)]. 2310 T(x,y) = ((x * y) / x) / (x \ y). [hyper(58,a,1318,a,b,2308,a),flip(a)]. 2311 T(x / y,T(y,x)) = y \ x. [hyper(1257,a,2310,a(flip))]. 2312 ((x * (x * y)) / x) / y = T(x,x * y). [para(4(a,1),2310(a,2,2)),flip(a)]. 2313 T(x,T(y,x * y)) = y \ (x * y). [para(6(a,1),2311(a,1,1))]. 2314 T(x,T(y,x * y)) = T(x,y). [hyper(272,a,17,a,b,2313,a),flip(a)]. 2315 T(x,y * x) = T(x,x * y). [hyper(58,a,2222,a(flip),b,2312,a)]. 2316 x * T(y,y * x) = (1 / y) \ x. [hyper(114,a,2315,a(flip),b,834,a(flip))]. 2317 T(x,(x \ y) * x) = T(x,y). [para(5(a,1),2315(a,2,2))]. 2318 T(x,x * (y / x)) = T(x,y). [para(7(a,1),2315(a,1,2)),flip(a)]. 2319 (x * T(y,x * y)) / x = L(y,x,y). [para(2315(a,2),603(a,1,1,2))]. 2320 R(T(x,x * y),y,x) = T(x,y). [para(2315(a,1),652(a,1,1))]. 2321 T(x * T(y,y * x),y) = x * y. [para(2315(a,1),831(a,1,1,2))]. 2322 x * L(T(y,x * y),z,u) = L(L(y,x,y),z,u) * x. [para(2315(a,2),608(a,1,2,1))]. 2323 T(x,T(y,y * x)) = T(x,y). [para(2315(a,1),2314(a,1,2))]. 2324 R(T(x,y),x \ y,x) = (x \ y) \ y. [para(2317(a,1),654(a,1,1))]. 2325 T(x,T(x,y) * y) = T(x,x * y). [para(2306(a,2),2318(a,1,2))]. 2326 T(x,L(y,x,y)) = T(x,y). [hyper(58,a,2238,a(flip),b,2323,a)]. 2327 R(L(x,y,x),y,x) = x. [hyper(820,a,2320,a(flip))]. 2328 R(T(x,T(x * y,x)),y,x) = T(x,y). [para(2229(a,2),2320(a,1,1))]. 2329 L(x,y,(y * x) / y) = L(x,y,x). [hyper(813,a,2327,a)]. 2330 L(R(x,y,x),y,x) = x. [hyper(58,a,24,a(flip),b,2327,a)]. 2331 R(x,y,z) != z | L(z,y,z) = x. [para(2327(a,1),46(a,1)),flip(a)]. 2332 R(x,y,T(x,y)) = R(x,y,x). [hyper(840,a,2330,a)]. 2333 x * R(y,x,y) = T(y * x,y). [hyper(114,a,2332,a(flip),b,839,a)]. 2334 R(x,T(y,x),T(x,y)) = R(x,T(y,x),x). [para(2229(a,1),2332(a,1,3))]. 2335 (x * y) \ (x * T(z * y,z)) = L(R(z,y,z),y,x). [para(2333(a,1),13(a,2,2,2)),flip(a)]. 2336 x \ T(y * x,y) != z | R(y,x,y) = z. [para(2333(a,1),287(a,1,2))]. 2337 T(x * y,x) * T(x,y) = (x * y) * R(x,y,x). [para(2333(a,1),1442(a,1,1))]. 2338 T(L(x,y,x) * y,x) = y * x. [para(599(a,1),2321(a,1,1))]. 2339 T(x,T(x,y) * y) = T(x,y * x). [hyper(272,a,2315,a,b,2325,a),flip(a)]. 2340 L(x \ y,x,x \ y) = T(y / x,y). [hyper(58,a,622,a(flip),b,2329,a),flip(a)]. 2341 (x * T(y,x * y)) / x = L(y,x,T(y,x)). [para(2339(a,1),1124(a,1,1,2))]. 2342 R(x,x \ y,x) * y = y * ((x \ y) \ y). [hyper(114,a,2324,a(flip),b,104,a),flip(a)]. 2343 R(x,y,x) * T(x * y,x) = T(x * y,x) * T(x,y). [hyper(114,a,2328,a(flip),b,104,a),flip(a)]. 2344 L(x,y,T(x,y)) = L(x,y,x). [hyper(58,a,2319,a(flip),b,2341,a),flip(a)]. 2345 R(x,x \ y,x) * y = (x * (y / x)) * x. [hyper(272,a,2268,a,b,2342,a),flip(a)]. 2346 R(x,y / x,x) = R(x,x \ y,x). [hyper(30,a,448,a,b,2345,a)]. 2347 R(x,(x * y) / x,x) = R(x,y,x). [para(4(a,1),2346(a,2,2))]. 2348 R(x,T(y,x),x) = R(x,y,x). [para(206(a,1),2347(a,1,2)),flip(a)]. 2349 R(x,T(y,x),T(x,y)) = R(x,y,x). [hyper(58,a,2334,a,b,2348,a)]. 2350 R(R(x,y,z),T(u,x),T(x,u)) = R(R(x,u,x),y,z). [para(2349(a,1),26(a,1,1)),flip(a)]. 2353 T(x,y) * T(R(y,z,u),x) = R(y,z,u) * T(x,y). [para(22(a,1),2237(a,1,2))]. 2354 T(x,R(y,y \ 1,x)) \ x = ((x * y) / x) \ y. [hyper(272,a,2061,a(flip),b,2216,a),flip(a)]. 2355 T(x,R(T(y,x),T(y,x) \ 1,x)) \ x = y \ T(y,x). [para(206(a,1),2354(a,2,1))]. 2356 T(L(L(x,y,x),z,u) * y,x) = L(x,z,u) * T(y,x). [para(2322(a,1),1455(a,1,1))]. 2357 R(x,y,x) * T(x * y,x) = (x * y) * R(x,y,x). [hyper(272,a,2337,a(flip),b,2343,a),flip(a)]. 2358 (R(x,y,x) * y) \ ((x * y) * R(x,y,x)) = L(R(x,y,x),y,R(x,y,x)). [para(2357(a,1),2335(a,1,2))]. 2359 (x * (T(y,x) \ y)) \ x = y \ T(y,x). [para(1921(a,1),2355(a,1,1))]. 2360 x * (y \ T(y,z)) != z | z * (T(y,z) \ y) = x. [para(2359(a,1),121(a,1,2))]. 2362 x \ (y * (K(z \ 1,z) * u)) != w | K(z \ 1,z) * (x \ (y * u)) = w. [para(2150(a,1),2164(a,1,2))]. 2363 (x * y) * T((x * y) \ z,x) != u | y * ((x \ (y \ z)) * x) = u. [para(988(a,2),2218(a,1))]. 2364 (R(x,y,z) * T(u,x)) * T(x,u) = R(R(x,u,x),y,z) * (u * x). [para(2350(a,1),2231(a,1,1)),flip(a)]. 2366 (x * (y * (K(z \ 1,z) * u))) \ ((x * (K(z \ 1,z) * y)) * u) = a(x,y,K(z \ 1,z) * u). [hyper(112,a,2168,a,b,79,a)]. 2368 ((x \ 1) * y) \ (y * (x \ 1)) = K(y,1 / x). [para(1822(a,1),2173(a,1,2))]. 2369 K(x,1 / y) = K(x,y \ 1). [hyper(293,a,2368,a),flip(a)]. 2372 K(x,(y \ 1) \ 1) = K(x,y). [para(72(a,1),2369(a,1,2)),flip(a)]. 2373 (1 / x) * K(y,1 / x) = K(y,x \ 1) / x. [para(2369(a,1),944(a,2,1))]. 2375 (R(x,y,z) * T(u,x)) * T(x,u) = (R(x,y,z) * u) * x. [hyper(272,a,452,a(flip),b,2364,a),flip(a)]. 2376 T(x * y,x) * T(x,y) = (R(x,y,x) * y) * x. [para(1096(a,1),2375(a,1,1))]. 2377 (R(x,y,x) * y) * x = (x * y) * R(x,y,x). [hyper(58,a,2337,a(flip),b,2376,a),flip(a)]. 2378 (R(x,y,x) * y) \ ((x * y) * R(x,y,x)) != z | x = z. [para(2377(a,1),287(a,1,2))]. 2379 T((x \ y) \ 1,z) \ ((x \ y) \ 1) != u \ 1 | x \ (y * T(y \ x,z)) = u. [para(2217(a,2),43(a,1))]. 2380 (K(x \ 1,x) * ((y * z) * u)) / (z * u) = R(K(x \ 1,x) * y,z,u). [para(2098(a,1),2121(a,1,1))]. 2381 (x * y) \ (x * ((y * z) * K(u \ 1,u))) = L(z,y,x) * K(u \ 1,u). [para(2136(a,1),2145(a,1,2))]. 2382 L(R(x,y,x),y,R(x,y,x)) = x. [hyper(2378,a,2358,a),flip(a)]. 2383 K(x \ 1,x) * (((y * z) * u) / (z * u)) = R(K(x \ 1,x) * y,z,u). [hyper(58,a,2103,a(flip),b,2380,a)]. 2384 (x * y) \ (x * (y * (z * K(u \ 1,u)))) = L(z,y,x) * K(u \ 1,u). [para(2136(a,1),2381(a,1,2,2))]. 2385 R(K(x \ 1,x) * y,z,u) = K(x \ 1,x) * R(y,z,u). [para(15(a,2),2383(a,1,2)),flip(a)]. 2386 (x * (1 / x)) * R(K(x \ 1,x) * y,z,u) = R(y,z,u). [hyper(114,a,2385,a,b,1829,a)]. 2387 R(x * K(y \ 1,y),z,u) = K(y \ 1,y) * R(x,z,u). [para(1628(a,1),2385(a,1,1))]. 2388 R((x * (1 / x)) * y,z,u) = (x * (1 / x)) * R(y,z,u). [para(1828(a,1),2386(a,1,2,1)),flip(a)]. 2389 R(x * K(y \ 1,y),z,u) != K(y \ 1,y) * w | R(x,z,u) = w. [para(2387(a,2),38(a,1))]. 2390 (x \ 1) * R((x * (1 / x)) * y,z,u) = (1 / x) * R(y,z,u). [para(2388(a,2),1953(a,1,2))]. 2391 (1 / x) * R((1 / x) \ y,z,u) = (x \ 1) * R((x \ 1) \ y,z,u). [para(1941(a,1),2390(a,1,2,1)),flip(a)]. 2392 (1 / x) * R((1 / x) \ y,z,u) = x \ R(x * y,z,u). [hyper(272,a,911,a(flip),b,2391,a),flip(a)]. 2393 R(x * y,z,u) / y = y \ R(y * x,z,u). [hyper(58,a,1035,a(flip),b,2392,a)]. 2394 x * (R(y * x,z,u) / x) = R(x * y,z,u). [hyper(114,a,1035,a(flip),b,2392,a(flip))]. 2395 (x \ R(x * y,z,u)) * x = R(y * x,z,u). [hyper(125,a,2393,a)]. 2396 R(x * (y / x),z,u) = x * (R(y,z,u) / x). [para(7(a,1),2394(a,1,2,1,1)),flip(a)]. 2397 R((x \ y) * x,z,u) = (x \ R(y,z,u)) * x. [para(5(a,1),2395(a,1,1,2,1)),flip(a)]. 2398 (R(x,y,z) \ x) * R(x,y,z) = x. [hyper(189,a,2397,a),flip(a)]. 2399 R((x \ (y / z)) * x,z,z \ 1) = (x \ (y * (z \ 1))) * x. [para(460(a,1),2397(a,2,1,2))]. 2400 R((x \ (y / (1 / z))) * x,z \ 1,z) = (x \ (y * z)) * x. [para(1837(a,1),2397(a,2,1,2))]. 2401 x / R(x,y,z) = R(x,y,z) \ x. [hyper(122,a,2398,a)]. 2402 ((x \ (y * (z \ 1))) * x) / (z \ 1) = ((x \ (y / z)) * x) * z. [hyper(113,a,2399,a(flip),b,235,a)]. 2403 ((x \ (y / (1 / z))) * x) * (1 / z) = ((x \ (y * z)) * x) / z. [para(2400(a,1),1835(a,1,1)),flip(a)]. 2404 x * (T((x \ y) * z,x) / z) = ((x \ (y * z)) * x) / z. [hyper(58,a,1229,a(flip),b,2403,a)]. 2405 x * (y \ T(y * (x \ z),x)) = ((x \ (z * y)) * x) / y. [para(2194(a,1),2404(a,1,2))]. 2406 ((x \ (y / (z \ 1))) * x) * (z \ 1) = ((x \ (y * z)) * x) / z. [hyper(58,a,1230,a,b,2405,a)]. 2407 (x \ 1) * ((y \ ((x \ 1) \ z)) * y) = ((y \ (z * x)) * y) / x. [hyper(2218,a,2406,a)]. 2408 L(x * K(y \ 1,y),z,u) = L(x,z,u) * K(y \ 1,y). [hyper(430,a,2384,a)]. 2409 (K(x \ 1,x) * (y * z)) \ (K(x \ 1,x) * (z * y)) = K(z,K(x \ 1,x) * y). [para(2098(a,1),2153(a,1,1))]. 2410 (K(x \ 1,x) * (y * z)) \ (K(x \ 1,x) * (z * y)) = K(K(x \ 1,x) * z,y). [para(2098(a,1),2155(a,1,2))]. 2411 ((K(x \ 1,x) * (y * z)) \ (z * y)) * K(x \ 1,x) = K(K(x \ 1,x) * z,y). [hyper(2169,a,2410,a)]. 2412 K(K(x \ 1,x) * y,z) = K(y,K(x \ 1,x) * z). [hyper(58,a,2409,a(flip),b,2410,a),flip(a)]. 2413 (((x * y) \ (y * x)) * K(z,z \ 1)) * K(z \ 1,z) = K(K(z \ 1,z) * y,x). [para(2161(a,1),2411(a,1,1))]. 2414 (K(x,y) * K(z,z \ 1)) * K(z \ 1,z) = K(K(z \ 1,z) * x,y). [para(11(a,2),2413(a,1,1,1))]. 2415 K(K(x \ 1,x) * y,z) = K(y,z). [hyper(1819,a,2414,a),flip(a)]. 2417 K(x,K(y \ 1,y) * z) = K(x,z). [hyper(58,a,2412,a(flip),b,2415,a)]. 2418 K((x \ 1) \ 1,y) = K(x,y). [para(661(a,1),2415(a,1,1)),flip(a)]. 2419 K(1 / x,y) = K(x \ 1,y). [para(945(a,1),2415(a,1,1)),flip(a)]. 2420 K(x * (1 / y),z) = K(x * (y \ 1),z). [para(1822(a,1),2415(a,1,1)),flip(a)]. 2421 K((1 / x) * y,z) = K((x \ 1) * y,z). [para(1933(a,1),2415(a,1,1)),flip(a)]. 2422 K((K(x,x \ 1) * y) \ z,u) = K(y \ z,u). [para(2171(a,2),2415(a,1,1))]. 2425 K(x,y * K(z,z \ 1)) = K(x,y). [para(1813(a,1),2417(a,1,2)),flip(a)]. 2426 K(x,y / (K(z,z \ 1) * u)) = K(x,y / u). [para(2132(a,2),2417(a,1,2))]. 2427 K(x,y * (z * (u * (1 / u)))) = K(x,y * z). [para(2157(a,1),2417(a,1,2)),flip(a)]. 2428 K(x,((1 / y) * z) * u) = K(x,((y \ 1) * z) * u). [para(2089(a,1),2425(a,1,2))]. 2429 K((((x \ 1) \ 1) \ y) \ z,u) = K((x \ y) \ z,u). [para(1958(a,1),2422(a,1,1,1)),flip(a)]. 2430 K(x,y / ((1 / z) * u)) = K(x,y / ((z \ 1) * u)). [para(1947(a,1),2426(a,1,2,2))]. 2431 K(x,y * (z * (1 / u))) = K(x,y * (z * (u \ 1))). [para(1761(a,1),2427(a,1,2,2))]. 2432 K(x,y * (z * ((u \ 1) \ 1))) = K(x,y * (z * u)). [para(1802(a,1),2427(a,1,2,2))]. 2433 (x * y) * K(z \ (z / L(u,y,x)),z) = x * ((y * u) * T((y * u) \ y,z)). [hyper(788,a,1043,a),flip(a)]. 2434 (x * y) * K(z \ (z / L(u,y,x)),z) = x * (y * (u * T(u \ 1,z))). [para(611(a,1),2433(a,2,2))]. 2435 L(x * T(x \ 1,y),z,u) = K(y \ (y / L(x,z,u)),y). [hyper(429,a,2434,a)]. 2436 L(x,y,z) * T(L(x,y,z) \ 1,u) = L(x * T(x \ 1,u),y,z). [hyper(272,a,886,a(flip),b,2435,a)]. 2437 L(x \ T(x,y),z,u) = K(y \ (y / L(x \ 1,z,u)),y). [para(882(a,1),2435(a,1,1))]. 2438 L(x \ T(x,y * L(x \ 1,z,u)),z,u) = K((y * L(x \ 1,z,u)) \ y,y * L(x \ 1,z,u)). [para(6(a,1),2437(a,2,1,2))]. 2439 K(x \ (x / R(y,z,u)),x) = (((y * z) * T((y * z) \ z,x)) * u) / (z * u). [para(1298(a,1),1084(a,2,1))]. 2440 K(x \ (x / R(y,z,u)),x) = (((y * T(y \ 1,x)) * z) * u) / (z * u). [para(1324(a,1),2439(a,2,1,1))]. 2441 K(x \ (x / R(y,z,u)),x) != w | R(y * T(y \ 1,x),z,u) = w. [para(2440(a,2),457(a,1))]. 2442 R(x,y,z) * T(R(x,y,z) \ 1,u) != w | R(x * T(x \ 1,u),y,z) = w. [para(886(a,1),2441(a,1))]. 2443 (K(x \ 1,x) * (y * z)) \ (K(x \ 1,x) * (y * (z * u))) = L(u,z,y * K(x \ 1,x)). [para(2104(a,1),2127(a,1,2))]. 2444 R(x * K(y \ 1,y),K(y,y \ 1) * z,u) = ((x * z) * u) / (z * (K(y,y \ 1) * u)). [para(2130(a,1),2159(a,2,2))]. 2445 L(L(x,y,z),z * y,K(u \ 1,u)) = L(x,y,z * K(u \ 1,u)). [hyper(733,a,2443,a)]. 2446 L(x,y,z * K(u \ 1,u)) = L(x,y,z). [hyper(2102,a,2445,a),flip(a)]. 2448 ((x * K(y \ 1,y)) * z) \ ((x * K(y \ 1,y)) * (z * u)) = L(u,z,x). [hyper(58,a,13,a(flip),b,2446,a)]. 2449 L(x,y,1 / z) = L(x,y,z \ 1). [para(634(a,1),2446(a,1,3)),flip(a)]. 2450 L(x,y,K(z,z \ 1) * u) = L(x,y,u). [para(1810(a,1),2446(a,1,3)),flip(a)]. 2451 L(x,y,((1 / z) * u) * w) = L(x,y,((z \ 1) * u) * w). [para(2087(a,1),2446(a,1,3)),flip(a)]. 2452 L(x,y,(z \ 1) \ 1) = L(x,y,z). [para(72(a,1),2449(a,1,3)),flip(a)]. 2453 L(x,y,z * (u * K(w,w \ 1))) = L(x,y,z * u). [para(2116(a,1),2450(a,1,3))]. 2454 L(x,y,z * (u * (1 / w))) = L(x,y,z * (u * (w \ 1))). [para(1764(a,1),2453(a,1,3,2))]. 2455 (x * (K(y \ 1,y) * z)) \ ((x * K(y \ 1,y)) * (z * u)) = L(u,z,x). [para(2111(a,1),2448(a,1,1))]. 2456 (x * (K(y \ 1,y) * z)) \ (x * (K(y \ 1,y) * (z * u))) = L(u,z,x). [para(2111(a,1),2455(a,1,2))]. 2457 L(L(x,y,K(z \ 1,z)),K(z \ 1,z) * y,u) = L(x,y,u). [hyper(733,a,2456,a)]. 2458 L(x,K(y \ 1,y) * z,u) = L(x,z,u). [para(2096(a,1),2457(a,1,1))]. 2459 L(x,T(y,y \ 1),z) = L(x,y,z). [para(659(a,1),2458(a,1,2)),flip(a)]. 2460 L(x,(y \ 1) \ 1,z) = L(x,y,z). [para(661(a,1),2458(a,1,2)),flip(a)]. 2461 L(x,1 / y,z) = L(x,y \ 1,z). [para(945(a,1),2458(a,1,2)),flip(a)]. 2462 L(x,y * K(z \ 1,z),u) = L(x,y,u). [para(1628(a,1),2458(a,1,2))]. 2463 L(x,(1 / y) \ z,u) = L(x,(y \ 1) \ z,u). [para(1931(a,1),2458(a,1,2))]. 2464 L(x,y * (K(z,z \ 1) * u),w) = L(x,y * u,w). [para(2156(a,1),2458(a,1,2)),flip(a)]. 2465 (x * T(y,y \ 1)) * L(z,y,x) = x * (T(y,y \ 1) * z). [hyper(114,a,2459,a(flip),b,13,a(flip))]. 2466 L(x,y \ (1 / z),u) = L(x,y \ (z \ 1),u). [para(2163(a,1),2462(a,1,2)),flip(a)]. 2467 L(x,y * (z * (u * K(w,w \ 1))),v5) = L(x,y * (z * u),v5). [para(2116(a,1),2464(a,1,2,2))]. 2468 L(x,y * (z \ (1 / u)),w) = L(x,y * (z \ (u \ 1)),w). [para(2165(a,1),2464(a,1,2,2))]. 2469 (x * T(y,y \ 1)) * z != x * (T(y,y \ 1) * u) | L(u,y,x) = z. [para(2465(a,1),38(a,1)),flip(a)]. 2470 L(x,y * (z * (u * ((w \ 1) \ 1))),v5) = L(x,y * (z * (u * w)),v5). [para(1799(a,1),2467(a,1,2,2,2))]. 2471 L(x,y * (z * ((1 / u) * w)),v5) = L(x,y * (z * ((u \ 1) * w)),v5). [para(1948(a,1),2467(a,1,2,2,2))]. 2472 R(x * K(y \ 1,y),K(y,y \ 1) * z,u) = K(y \ 1,y) * (((x * z) * u) / (z * u)). [hyper(272,a,2167,a(flip),b,2444,a),flip(a)]. 2473 R(x * K(y \ 1,y),K(y,y \ 1) * z,u) = K(y \ 1,y) * R(x,z,u). [para(15(a,2),2472(a,2,2))]. 2474 R(x,K(y,y \ 1) * z,u) = R(x,z,u). [hyper(2389,a,2473,a)]. 2476 R(x,1 / y,z) = R(x,y \ 1,z). [para(1056(a,1),2474(a,1,2))]. 2477 R(x,(y \ 1) \ 1,z) = R(x,y,z). [para(1060(a,1),2474(a,1,2))]. 2478 R(x,y * (1 / z),u) = R(x,y * (z \ 1),u). [para(1770(a,1),2474(a,1,2))]. 2479 R(x,y * K(z \ 1,z),u) = R(x,y,u). [para(1808(a,1),2474(a,1,2)),flip(a)]. 2480 R(x,y / ((z \ 1) \ 1),u) = R(x,y / z,u). [para(1790(a,1),2479(a,1,2))]. 2481 (x * (y * (K(z \ 1,z) * u))) \ ((x * (K(z \ 1,z) * y)) * u) = a(x,y * K(z \ 1,z),u). [para(2111(a,1),1653(a,1,1,2))]. 2482 R(L((x / (y \ 1)) * K(y \ 1,y),z,u),y \ 1,y) = ((y \ 1) * L((y \ 1) \ x,z,u)) * y. [para(2408(a,2),1852(a,1,1))]. 2483 (K(x \ 1,x) * (y * (z * u))) \ ((K(x \ 1,x) * (y * z)) * u) = a(y * K(x \ 1,x),z,u). [para(2104(a,1),2126(a,1,2,1))]. 2484 K(x \ 1,x) * ((y * (K(x \ 1,x) * (z * u))) \ ((y * z) * u)) = a(y,z,K(x \ 1,x) * u). [hyper(2362,a,2154,a)]. 2485 a(x,y * K(z \ 1,z),u) = a(x,y,K(z \ 1,z) * u). [hyper(58,a,2366,a(flip),b,2481,a),flip(a)]. 2486 a(x,K(y \ 1,y) * z,u) = a(x,z,K(y \ 1,y) * u). [para(1628(a,2),2485(a,1,2))]. 2487 ((x \ 1) * L((x \ 1) \ y,z,u)) * x = R(L(y / (1 / x),z,u),x \ 1,x). [para(1841(a,1),2482(a,1,1,1)),flip(a)]. 2488 ((x \ 1) * L((x \ 1) \ y,z,u)) * x = L(R(y / (1 / x),x \ 1,x),z,u). [hyper(272,a,24,a(flip),b,2487,a),flip(a)]. 2489 ((x \ 1) * L((x \ 1) \ y,z,u)) * x = L(y * x,z,u). [para(1837(a,1),2488(a,2,1))]. 2490 (x \ L(x * y,z,u)) * x = L(y * x,z,u). [para(915(a,1),2489(a,1,1))]. 2491 L((x \ y) * x,z,u) = (x \ L(y,z,u)) * x. [para(5(a,1),2490(a,1,1,2,1)),flip(a)]. 2493 (L(x,y,z) \ x) * L(x,y,z) = x. [hyper(188,a,2491,a),flip(a)]. 2494 (x * y) * ((z \ L(u,y,x)) * z) = x * (y * ((z \ u) * z)). [hyper(114,a,2491,a(flip),b,13,a(flip))]. 2495 (x \ L(x,y,z)) * x = L(x,y,z). [para(151(a,1),2491(a,1,1)),flip(a)]. 2496 L((x \ ((y \ 1) \ z)) * x,y \ 1,y) = (x \ (y * z)) * x. [para(436(a,1),2491(a,2,1,2))]. 2497 x / L(x,y,z) = L(x,y,z) \ x. [hyper(122,a,2493,a)]. 2498 (L(x,y,z) \ x) \ x = L(x,y,z). [hyper(117,a,2493,a)]. 2500 x / L(x,y,z) != u | L(x,y,z) \ x = u. [para(2493(a,1),279(a,1,1))]. 2501 L(x,y,z) / x = x \ L(x,y,z). [hyper(122,a,2495,a)]. 2502 (x \ L(x,y,z)) \ L(x,y,z) = x. [hyper(117,a,2495,a)]. 2503 a(x,y,z) = (x \ 1) \ L(x \ 1,z,y). [hyper(30,a,1177,a,b,2495,a)]. 2505 L(x,y,z) = a(x \ 1,z,y) * x. [para(1181(a,2),2495(a,1,1)),flip(a)]. 2506 (1 / L(x,y,z)) * x = L(x,y,z) \ x. [hyper(525,a,2497,a)]. 2507 T(x,L(x,y,z) \ x) = x. [hyper(594,a,2498,a(flip))]. 2508 T(L(x,y,z) \ x,x) = L(x,y,z) \ x. [hyper(49,a,2507,a)]. 2509 (1 / x) * L(x,y,z) = x \ L(x,y,z). [hyper(527,a,2501,a)]. 2510 a(x \ 1,y,z) = L(x,z,y) / x. [hyper(272,a,1181,a,b,2501,a)]. 2511 a(x \ 1,y,z) \ L(x,z,y) = x. [para(1181(a,2),2502(a,1,1))]. 2512 a((x \ 1) \ 1,y,z) = a(x,y,z). [hyper(1179,a,2505,a),flip(a)]. 2513 T(a(x \ 1,y,z),x) = a(x \ 1,y,z). [hyper(215,a,2505,a(flip),b,1183,a(flip))]. 2515 T(a(x \ 1,y,z) \ 1,x) = L(x,z,y) \ x. [para(2505(a,2),2258(a,2,1))]. 2516 (x \ 1) * a(x,y,z) = L(x \ 1,z,y). [hyper(114,a,2512,a(flip),b,1181,a(flip))]. 2517 a(1 / x,y,z) = a(x \ 1,y,z). [para(74(a,1),2512(a,1,1,1)),flip(a)]. 2518 a(T(1 / x,y) \ 1,z,u) = a(T(x \ 1,y) \ 1,z,u). [para(1616(a,1),2512(a,1,1,1)),flip(a)]. 2519 a(T(1 / x,y),z,u) = a(T(x \ 1,y),z,u). [para(1616(a,1),2512(a,1,1)),flip(a)]. 2520 L(x,y,z) = x * a(1 / x,z,y). [hyper(114,a,2517,a,b,1181,a(flip)),flip(a)]. 2521 x * a(1 / x,y,z) != u | L(x,z,y) = u. [para(2517(a,2),1198(a,1,2))]. 2522 L(x,y,z) = a(1 / x,z,y) * x. [para(2517(a,2),2505(a,2,1))]. 2524 T(x,a(1 / x,y,z)) = x. [hyper(215,a,2520,a(flip),b,2522,a(flip))]. 2525 T(1 / L(x,y,z),x) = L(x,y,z) \ 1. [hyper(215,a,2506,a,b,683,a)]. 2529 x \ (L(x,y,z) * (u * x)) = ((x \ L(x,y,z)) * u) * x. [para(2509(a,1),664(a,1,1,1)),flip(a)]. 2530 x * T(a(x \ 1,y,z),u) != w | T(a(x \ 1,y,z),u) * x = w. [para(2513(a,1),342(a,1,2,1))]. 2532 T(a(x \ 1,y,z) \ 1,x) = x / L(x,z,y). [hyper(272,a,2497,a,b,2515,a),flip(a)]. 2533 L(x,y,z) \ x = a(x \ 1,z,y) \ 1. [hyper(35,a,2508,a,b,2515,a)]. 2534 T(T(a(x \ 1,y,z) \ 1,u),x) = T(L(x,z,y) \ x,u). [para(2515(a,1),18(a,1,1)),flip(a)]. 2535 1 / (L(x,y,z) \ x) = a(x \ 1,z,y). [hyper(178,a,2533,a(flip))]. 2536 L(1 / x,y,z) \ (1 / x) = a(x,z,y) \ 1. [para(74(a,1),2533(a,2,1,1))]. 2538 (x \ L(x,y,z)) \ 1 = L(x,y,z) \ x. [para(1181(a,1),2533(a,2,1)),flip(a)]. 2539 a(x \ 1,y,z) \ 1 != u | L(x,z,y) \ x = u. [para(2535(a,1),290(a,1,1))]. 2540 T(x,y) != y / L(y,z,u) | a(y \ 1,u,z) \ 1 = x. [para(2532(a,1),44(a,1)),flip(a)]. 2541 (x \ L(x,y,z)) \ 1 != u | L(x,y,z) \ x = u. [para(1181(a,1),2539(a,1,1))]. 2542 ((x \ L(x,y,z)) * u) * x = L(x,y,z) * T(u,x). [hyper(58,a,1278,a(flip),b,2529,a),flip(a)]. 2544 (a(x \ 1,y,z) * u) * x = L(x,z,y) * T(u,x). [para(1181(a,2),2542(a,1,1,1))]. 2546 (x * y) * ((z \ ((x * y) \ u)) * z) = x * (y * ((z \ (y \ (x \ u))) * z)). [para(254(a,1),2494(a,1,2,1,2))]. 2547 (x \ 1) * ((y \ ((x \ 1) \ z)) * y) = x \ ((y \ (x * z)) * y). [hyper(112,a,2496,a(flip),b,231,a),flip(a)]. 2548 x \ ((y \ (x * y)) * y) = ((x \ 1) * T((x \ 1) \ 1,y)) * y. [hyper(1333,a,2547,a),flip(a)]. 2549 ((x \ (y * z)) * x) / z = z \ ((x \ (z * y)) * x). [hyper(58,a,2407,a(flip),b,2547,a)]. 2550 (x \ ((y \ (x * z)) * y)) * x = (y \ (z * x)) * y. [hyper(125,a,2549,a)]. 2551 (x \ ((y \ (x * z)) * y)) * x != u | (y \ (z * x)) * y = u. [para(2549(a,1),227(a,1,1))]. 2553 (x \ ((y \ (x * 1)) * y)) * x = (y \ x) * y. [para(2(a,1),2550(a,2,1,2))]. 2554 (x \ ((y \ x) * y)) * x = (y \ x) * y. [para(3(a,1),2553(a,1,1,2,1,2))]. 2555 K(x \ y,x) * y = (x \ y) * x. [para(82(a,1),2554(a,1,1))]. 2556 T(x,K(y \ x,y)) = x. [hyper(399,a,2555,a)]. 2557 K(x \ (y \ x),x) = y * T(y \ 1,x). [hyper(30,a,1074,a(flip),b,2555,a),flip(a)]. 2558 T(x * y,K(y,x)) = x * y. [para(4(a,1),2556(a,1,2,1))]. 2559 K(x,y) \ (x * y) = y * x. [hyper(584,a,2558,a)]. 2560 K(x,y) = (x * y) / (y * x). [para(2558(a,1),263(a,1,2)),flip(a)]. 2561 K(x,y) * (y * x) = x * y. [hyper(127,a,2559,a)]. 2562 x * (y * z) != z * y | K(z,y) = x. [para(2559(a,1),121(a,1,2))]. 2563 K(x,y) * (x * y) = y * x. [para(28(a,1),2561(a,1,1))]. 2564 (x * y) \ (K(x,y) * (y * (x * z))) = L(L(z,x,y),y * x,K(x,y)). [para(2561(a,1),427(a,1,1))]. 2565 x * (y * z) != z * y | K(y,z) = x. [para(2563(a,1),39(a,1)),flip(a)]. 2566 ((x \ 1) * T((x \ 1) \ 1,y)) * y = x \ (T(x,y) * y). [para(17(a,2),2548(a,1,2,1)),flip(a)]. 2567 ((x \ 1) * T((x \ 1) \ 1,y)) * y = (x * y) / x. [hyper(272,a,2307,a(flip),b,2566,a),flip(a)]. 2568 (x \ T(x,y)) * y = (x * y) / x. [para(882(a,1),2567(a,1,1))]. 2569 x * (y \ T(y,x)) = (y * x) / y. [hyper(1900,a,2568,a)]. 2570 T(x,y) * (y \ T(y,T(x,y))) = x. [hyper(272,a,206,a(flip),b,2569,a),flip(a)]. 2571 (x \ y) * (x \ T(x,x \ y)) = y / x. [hyper(272,a,140,a(flip),b,2569,a),flip(a)]. 2572 x * ((y * (x \ 1)) / y) = y \ T(y,x \ 1). [hyper(29,a,1920,a,b,2569,a)]. 2573 (x * (y \ T(y,x))) * y = y * x. [hyper(125,a,2569,a(flip))]. 2574 T(x,y) * (y \ T(y,x)) = x. [para(2229(a,1),2570(a,1,2,2))]. 2575 x * (T(y,x) \ y) = T(x,y). [hyper(2360,a,2574,a)]. 2576 T(x,y) \ x = y \ T(y,x). [hyper(117,a,2574,a)]. 2577 T(x,y) \ x != z | y \ T(y,x) = z. [para(2574(a,1),287(a,1,2))]. 2578 T(L(x,y,x),y) \ L(x,y,x) = y \ T(y,x). [hyper(112,a,2326,a(flip),b,2575,a),flip(a)]. 2579 T(x,y \ 1) \ x = y * T(y \ 1,x). [hyper(29,a,2188,a,b,2575,a),flip(a)]. 2580 (x * y) / x = y * (T(y,x) \ y). [para(2576(a,2),2569(a,1,2)),flip(a)]. 2581 T(x * (T(x,y) \ x),y) = x. [para(2580(a,1),205(a,1,1))]. 2582 K(x \ (y \ x),x) = T(x,y \ 1) \ x. [hyper(272,a,2557,a,b,2579,a)]. 2583 (x * ((y * (x \ z)) / y)) / z = y \ T(y,(x / z) \ 1). [hyper(58,a,1704,a(flip),b,2572,a)]. 2584 T(x,x / (x * y)) = T(x,y \ 1). [hyper(1119,a,2572,a(flip))]. 2585 (x * ((y / (z * (x \ y))) / x)) * (z * (x \ y)) = x * ((x \ T(x,z \ 1)) * (x \ y)). [para(2572(a,1),1531(a,2,2,1))]. 2586 (x * ((x / y) / x)) * y = T(x,y \ 1). [hyper(1532,a,2584,a)]. 2587 T(x,R(y \ 1,y,x)) = T(x,y \ 1). [hyper(58,a,2209,a,b,2584,a)]. 2588 x \ T(y,x \ 1) = y * ((x \ y) / y). [para(2587(a,1),1990(a,1,2))]. 2589 T(x,x * y) \ L(x,y,x) = y \ T(y,x). [para(598(a,1),2578(a,1,1))]. 2590 (K(x \ 1,x) * (y * (z * u))) \ (K(x \ 1,x) * ((y * z) * u)) = a(y * K(x \ 1,x),z,u). [para(2098(a,1),2483(a,1,2))]. 2591 K(x \ 1,x) * ((y * (z * u)) \ ((x * (1 / x)) * ((y * z) * u))) = a(y,z,K(x \ 1,x) * u). [para(2158(a,1),2484(a,1,2))]. 2592 L(a(x,y,z),x * (y * z),K(u \ 1,u)) = a(x * K(u \ 1,u),y,z). [hyper(734,a,2590,a)]. 2593 a(x * K(y \ 1,y),z,u) = a(x,z,u). [hyper(2102,a,2592,a),flip(a)]. 2595 a(x * (1 / y),z,u) = a(x * (y \ 1),z,u). [para(1807(a,1),2593(a,1,1)),flip(a)]. 2596 a(x,y,K(z \ 1,z) * u) = (x * (y * u)) \ ((x * y) * u). [hyper(58,a,2170,a(flip),b,2591,a),flip(a)]. 2598 a(x,y,K(z \ 1,z) * u) = a(x,y,u). [hyper(272,a,9,a,b,2596,a),flip(a)]. 2599 a(x,K(y \ 1,y) * z,u) = a(x,z,u). [hyper(58,a,2486,a,b,2598,a)]. 2600 a(x,y,(z \ 1) \ 1) = a(x,y,z). [para(661(a,1),2598(a,1,3)),flip(a)]. 2601 a(x,y,1 / z) = a(x,y,z \ 1). [para(945(a,1),2598(a,1,3)),flip(a)]. 2602 a(x,y,z * K(u \ 1,u)) = a(x,y,z). [para(1628(a,1),2598(a,1,3))]. 2604 a(x,(y \ 1) \ 1,z) = a(x,y,z). [para(661(a,1),2599(a,1,2)),flip(a)]. 2605 a(x,1 / y,z) = a(x,y \ 1,z). [para(945(a,1),2599(a,1,2)),flip(a)]. 2606 a(x,y,z \ (1 / u)) = a(x,y,z \ (u \ 1)). [para(2163(a,1),2602(a,1,3)),flip(a)]. 2607 K((x * L(x \ 1,y,z)) \ x,x * L(x \ 1,y,z)) = L(x \ x,y,z). [para(895(a,1),2438(a,1,1,2)),flip(a)]. 2608 K((x * L(x \ 1,y,z)) \ x,x * L(x \ 1,y,z)) = L(1,y,z). [para(61(a,1),2607(a,2,1))]. 2609 K((x * L(x \ 1,y,z)) \ x,x * L(x \ 1,y,z)) = 1. [hyper(272,a,320,a(flip),b,2608,a),flip(a)]. 2612 ((x * L(x \ 1,y,z)) \ x) * (x * L(x \ 1,y,z)) = x * 1. [hyper(114,a,2609,a(flip),b,82,a),flip(a)]. 2613 ((x * L(x \ 1,y,z)) \ x) * (x * L(x \ 1,y,z)) = x. [hyper(272,a,3,a(flip),b,2612,a),flip(a)]. 2614 x / (x * L(x \ 1,y,z)) != u | (x * L(x \ 1,y,z)) \ x = u. [para(2613(a,1),279(a,1,1))]. 2615 R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)) = ((x * y) * (1 / z)) / (y * (1 / z)). [para(1764(a,1),1773(a,1,2)),flip(a)]. 2616 R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)) != u | R(x,y,1 / z) = u. [para(2615(a,2),457(a,1))]. 2617 R(x,y,1 / z) = R(x,y,z \ 1). [hyper(2616,a,2138,a)]. 2618 R(R(x,y,z \ 1),u,K(w \ 1,w)) = R(x,y,1 / z). [hyper(272,a,2139,a,b,2617,a)]. 2619 R(x,y,(z \ 1) \ 1) = R(x,y,z). [para(72(a,1),2617(a,1,3)),flip(a)]. 2620 R(x,y,z) * (y * ((z \ 1) \ 1)) = (x * y) * ((z \ 1) \ 1). [para(2619(a,1),93(a,1,1))]. 2621 (x * y) * ((z \ 1) \ 1) != u * (y * ((z \ 1) \ 1)) | R(x,y,z) = u. [para(2620(a,1),39(a,1))]. 2622 (x * (R(y / z,z,y \ u) / x)) * (z * (y \ u)) = (x * ((u / (z * (y \ u))) / x)) * (z * (y \ u)). [hyper(272,a,1529,a(flip),b,1530,a),flip(a)]. 2623 R(x * ((y / z) / x),z,y \ u) * (z * (y \ u)) = (x * ((u / (z * (y \ u))) / x)) * (z * (y \ u)). [para(2396(a,2),2622(a,1,1))]. 2624 (x * ((y / (z * (u \ y))) / x)) * (z * (u \ y)) = ((x * ((u / z) / x)) * z) * (u \ y). [hyper(247,a,2623,a),flip(a)]. 2625 (x * (y \ z)) * (u * (((x * (y \ z)) \ z) / u)) = ((u * ((y / x) / u)) * x) * (y \ z). [hyper(58,a,2214,a(flip),b,2624,a)]. 2626 (x * ((y / (z * (x \ y))) / x)) * (z * (x \ y)) = T(x,z \ 1) * (x \ y). [para(2586(a,1),2624(a,2,1))]. 2627 x * ((x \ T(x,y \ 1)) * (x \ z)) = T(x,y \ 1) * (x \ z). [hyper(58,a,2585,a(flip),b,2626,a)]. 2628 T(x,(y \ 1) \ 1) * (x \ z) = x * ((x \ T(x,y)) * (x \ z)). [para(1970(a,1),2627(a,1,2,1,2)),flip(a)]. 2629 x * ((x \ T(x,y)) * (x \ z)) = T(x,y) * (x \ z). [para(1970(a,1),2628(a,1,1)),flip(a)]. 2630 T(x,y) * (x \ (x * z)) = x * ((x \ T(x,y)) * z). [para(4(a,1),2629(a,1,2,2)),flip(a)]. 2631 x \ (T(x,y) * z) = (x \ T(x,y)) * z. [hyper(802,a,2630,a)]. 2632 x * ((x \ T(x,y)) * z) = T(x,y) * z. [hyper(507,a,2630,a),flip(a)]. 2633 (x \ T(x,y)) * z = T(x,y) * (x \ z). [hyper(1015,a,2631,a),flip(a)]. 2635 R(x,x \ T(x,y),z) = x. [hyper(626,a,2631,a)]. 2636 L(x,y \ T(y,z),y) = x. [hyper(623,a,2631,a),flip(a)]. 2638 L(x,T(y,z) \ y,z) = x. [para(2576(a,2),2636(a,1,2))]. 2640 (x \ T(x,y)) * (x * z) = T(x,y) * z. [hyper(29,a,1000,a(flip),b,2632,a),flip(a)]. 2641 T(x,y) * T(x * z,x) = (T(x,y) * z) * x. [para(2632(a,1),1163(a,1,1)),flip(a)]. 2643 x * ((T(y,x) \ y) * z) = T(x,y) * z. [para(2576(a,2),2632(a,1,2,1))]. 2645 L(x,y,y \ T(y,z)) = x. [hyper(2193,a,2640,a(flip))]. 2646 (T(x,y) \ x) * (x * y) = y * x. [hyper(29,a,2226,a(flip),b,2643,a),flip(a)]. 2647 K(x,y) = T(x,y) \ x. [hyper(2565,a,2646,a)]. 2648 K(x,y) = T(y,x) \ y. [hyper(2562,a,2646,a)]. 2649 K(x,y) = x / T(x,y). [hyper(272,a,1871,a,b,2647,a),flip(a)]. 2650 x * T(x \ 1,y) = K(y,x \ 1). [hyper(272,a,2579,a(flip),b,2647,a)]. 2651 K(x,y) = y \ T(y,x). [hyper(272,a,2576,a(flip),b,2647,a),flip(a)]. 2652 T(x,y) = x * K(y,x). [hyper(114,a,2647,a,b,2576,a(flip)),flip(a)]. 2653 x \ K(y,x \ 1) = T(x \ 1,y). [hyper(112,a,2647,a,b,2579,a(flip))]. 2654 T(x,y) * K(y,x) = x. [hyper(114,a,28,a,b,2647,a(flip))]. 2655 T(x,y) \ x != z | K(y,x) = z. [para(2647(a,1),508(a,1))]. 2656 T(x,y) \ 1 = x \ K(x,y). [para(2647(a,2),691(a,1,2)),flip(a)]. 2657 K(x,y) / x = 1 / T(x,y). [para(2647(a,2),1868(a,1,1))]. 2658 K(x,y) * T(x,y) = x. [para(2647(a,2),1873(a,1,1))]. 2660 L(x,K(y,z),z) = x. [para(2647(a,2),2638(a,1,2))]. 2661 x * (K(y,x) * z) = T(x,y) * z. [para(2647(a,2),2643(a,1,2,1))]. 2662 a(x,y,K(z,y)) = 1. [hyper(1202,a,2660,a)]. 2663 L(x,K(y,z),y) = x. [para(28(a,1),2660(a,1,2))]. 2664 L(K(x,y),y,z) = K(x,y). [hyper(47,a,2662,a)]. 2665 a(x,y,K(y,z)) = 1. [para(28(a,1),2662(a,1,3))]. 2667 L(K(x,y),x,z) = K(x,y). [hyper(47,a,2665,a)]. 2668 K(x,y) * T(y,x) = y. [hyper(1911,a,2648,a)]. 2669 K(x \ (y \ x),x) = K(y \ 1,x). [hyper(272,a,2582,a,b,2648,a)]. 2670 K(x,y) = y / T(y,x). [hyper(272,a,1871,a,b,2648,a),flip(a)]. 2671 x * T(x \ 1,y) = K(x \ 1,y). [hyper(272,a,2579,a(flip),b,2648,a)]. 2672 K(x,y) = x \ T(x,y). [hyper(272,a,2576,a(flip),b,2648,a),flip(a)]. 2674 T(x,y) = x * K(x,y). [hyper(114,a,2648,a,b,2576,a(flip)),flip(a)]. 2675 x \ K(x \ 1,y) = T(x \ 1,y). [hyper(112,a,2648,a,b,2579,a(flip))]. 2676 T(x,y) = x / K(y,x). [hyper(178,a,2648,a(flip)),flip(a)]. 2677 x / K(y,x) != z | T(x,y) = z. [para(2648(a,2),280(a,1,2))]. 2679 T(x,y) \ 1 = x \ K(y,x). [para(2648(a,2),691(a,1,2)),flip(a)]. 2680 K((1 / x) \ y,y) = T(y,y * x) \ y. [para(1374(a,1),2648(a,2,1))]. 2681 K(x,y) / y = 1 / T(y,x). [para(2648(a,2),1868(a,1,1))]. 2682 T(x,y) = K(y,x) \ x. [para(2648(a,2),1872(a,1,1)),flip(a)]. 2684 (x * y) / x = y * K(x,y). [para(2648(a,2),2580(a,2,2))]. 2685 T(x * K(y,x),y) = x. [para(2648(a,2),2581(a,1,1,2))]. 2686 K(x,y) != z | x \ T(x,y) = z. [para(2648(a,2),2577(a,1))]. 2687 x * (K(x,y) * z) = T(x,y) * z. [para(2648(a,2),2643(a,1,2,1))]. 2688 x / T(x,y) != z | K(y,x) = z. [para(2649(a,1),508(a,1))]. 2689 (1 / x) * K(y,x \ 1) = T(1 / x,y). [hyper(114,a,2369,a(flip),b,2651,a(flip))]. 2690 x * K(y,x) != z | T(x,y) = z. [para(2651(a,2),230(a,1,2))]. 2691 x \ T(x,y) != z | K(x,y) = z. [para(2651(a,1),508(a,1))]. 2692 T(x,y) = K(y,x) * x. [para(2651(a,2),2186(a,1,1)),flip(a)]. 2693 R(x,K(y,x),z) = x. [para(2651(a,2),2635(a,1,2))]. 2694 K(x,y) * (y * z) = T(y,x) * z. [para(2651(a,2),2640(a,1,1))]. 2695 L(x,y,K(z,y)) = x. [para(2651(a,2),2645(a,1,3))]. 2696 R(x,K(x,y),z) = x. [para(28(a,1),2693(a,1,2))]. 2697 (T(x,y) * K(z,x)) * u = T(x,y) * (K(z,x) * u). [para(2693(a,1),450(a,1,1,1)),flip(a)]. 2698 L(x,y,K(y,z)) = x. [para(28(a,1),2695(a,1,3))]. 2699 L(x,y,K(z,y)) != u | x = u. [para(2695(a,1),45(a,2))]. 2700 (x * K(y,x)) * z = K(y,x) * (x * z). [para(2695(a,1),1904(a,1,2))]. 2701 R(T(x,y),K(x,z),u) = T(x,y). [para(2696(a,1),22(a,2,1))]. 2703 a(x,K(y,z),y) = 1. [hyper(1202,a,2698,a)]. 2705 L(x,y,K(y,z)) != u | x = u. [para(2698(a,1),45(a,2))]. 2706 L(x,K(x,y),z) = x. [hyper(47,a,2703,a)]. 2707 L(x,K(y,x),z) = x. [para(28(a,1),2706(a,1,2))]. 2708 (x * K(y,z)) * T(y,u) = x * (K(y,z) * T(y,u)). [para(2706(a,1),364(a,1,2,1))]. 2709 (x * K(y,z)) * L(y,u,w) = x * (K(y,z) * L(y,u,w)). [para(2706(a,1),361(a,1,2,1))]. 2712 (x * K(y,z)) * L(z,u,w) = x * (K(y,z) * L(z,u,w)). [para(2707(a,1),361(a,1,2,1))]. 2715 K(x,y \ 1) / y = T(1 / y,x). [hyper(272,a,2373,a(flip),b,2652,a)]. 2716 T(x,y) != z | K(y,x) * x = z. [para(2652(a,2),1885(a,1))]. 2717 K(x,y) / T(y,x) = 1 / y. [para(2652(a,2),2074(a,1,2))]. 2718 T(x,y * K(x,y)) = T(x,y). [para(2652(a,1),2229(a,1,2))]. 2719 T(x,L(y * K(x,y),z,u)) = T(x,L(y,z,u)). [para(2652(a,1),2234(a,1,2,1))]. 2720 L(x,y,x * K(y,x)) = L(x,y,x). [para(2652(a,1),2344(a,1,3))]. 2725 x * T(y,z) != y | K(z,y) = x. [para(2668(a,1),39(a,1)),flip(a)]. 2726 K(x,y) \ y != z | T(y,x) = z. [para(2668(a,1),287(a,1,2))]. 2728 K(x,y) = T(y,y * x) \ L(y,x,y). [hyper(272,a,2589,a,b,2672,a),flip(a)]. 2729 (x * ((y * (x \ z)) / y)) / z = K(y,(x / z) \ 1). [hyper(272,a,2583,a,b,2672,a)]. 2730 K(x,y) = T(x,y) / x. [hyper(272,a,2185,a,b,2672,a),flip(a)]. 2731 K(x,y) = T(x,y) * (x \ 1). [hyper(272,a,685,a,b,2672,a),flip(a)]. 2732 T(x,x * y) * K(y,x) = L(x,y,x). [hyper(114,a,2672,a,b,2589,a)]. 2733 K(x,y * K(z,z \ 1)) = x \ T(x,y). [hyper(58,a,2425,a,b,2672,a)]. 2734 T(x,y) \ T(T(x,z),y) = K(T(x,y),z). [para(18(a,1),2672(a,2,2)),flip(a)]. 2735 L(x,y,z) \ L(T(x,u),y,z) = K(L(x,y,z),u). [para(20(a,2),2672(a,2,2)),flip(a)]. 2736 K(x,y) != x \ z | T(x,y) = z. [para(2672(a,2),42(a,1))]. 2737 x * K(x,y) != z | T(x,y) = z. [para(2672(a,2),230(a,1,2))]. 2739 x \ ((y * T(x,z)) / x) = (x \ y) * K(x,z). [para(2672(a,2),1149(a,2,2))]. 2740 T(x,y) \ x = K(x,y) \ 1. [para(2672(a,2),2056(a,1,1)),flip(a)]. 2741 T(x,y) = K(x,y) * x. [para(2672(a,2),2186(a,1,1)),flip(a)]. 2742 K(x,y) * (1 / T(x,y)) = 1 / x. [para(2672(a,2),2191(a,1,1))]. 2744 x \ T(x,x * y) = K(x,y * x). [para(2315(a,1),2672(a,2,2)),flip(a)]. 2745 T(x,y) * K(y,T(x,y)) = x. [para(2672(a,2),2570(a,1,2))]. 2746 (x * K(y,x)) * y = y * x. [para(2672(a,2),2573(a,1,1,2))]. 2747 (x \ y) * K(x,x \ y) = y / x. [para(2672(a,2),2571(a,1,2))]. 2748 x \ (T(x,y) * z) = K(x,y) * z. [para(2672(a,2),2631(a,2,1))]. 2749 T(x,y) * (x \ z) = K(x,y) * z. [para(2672(a,2),2633(a,1,1)),flip(a)]. 2750 K(x,y) * (x * z) = T(x,y) * z. [para(2672(a,2),2640(a,1,1))]. 2751 T(x,y) != x * z | K(x,y) = z. [para(2674(a,2),38(a,1))]. 2752 x * K(x,x \ y) != z | (x \ y) \ y = z. [para(2674(a,1),570(a,1))]. 2756 T(x,y) * K(y * L(x,z,u),T(x,y)) = R(x,y,L(x,z,u)). [hyper(1391,a,2685,a),flip(a)]. 2758 T(T(x * K(y,x),z),y) = T(x,z). [para(2685(a,1),18(a,1,1)),flip(a)]. 2759 T(L(x * K(y,x),z,u),y) = L(x,z,u). [para(2685(a,1),20(a,1,1)),flip(a)]. 2760 T(R(x * K(y,x),z,u),y) = R(x,z,u). [para(2685(a,1),22(a,1,1)),flip(a)]. 2761 T(x,y) != z | z * K(y,z) = x. [para(2685(a,1),44(a,1)),flip(a)]. 2762 L(x * K(y,x),z,u) * y = y * L(x,z,u). [para(2685(a,1),213(a,1,2,1)),flip(a)]. 2763 T(x * K(y,x),(x * K(y,x)) * y) = L(x,y,x * K(y,x)). [para(2685(a,1),596(a,1,1)),flip(a)]. 2764 L(x * K(y,x),y,x * K(y,x)) = L(x * K(y,x),y,x). [para(2685(a,1),2344(a,1,3)),flip(a)]. 2765 T(T(x,y),y) = x. [para(2652(a,2),2685(a,1,1))]. 2766 T(x,x \ y) = y / (y / x). [hyper(2294,a,2765,a),flip(a)]. 2767 T((x * y) \ y,y) = x \ 1. [hyper(2281,a,2765,a),flip(a)]. 2768 T(x \ y,y) = (x / y) \ 1. [hyper(2273,a,2765,a),flip(a)]. 2769 T(x * T(y,y \ 1),y) = (y \ 1) \ x. [hyper(1993,a,2765,a),flip(a)]. 2770 T((1 / x) \ y,x \ 1) = y / (1 / x). [hyper(1971,a,2765,a),flip(a)]. 2771 x * T(y,x \ 1) = T(x * y,x). [hyper(866,a,2765,a)]. 2772 T(x / (y \ 1),y) = y * x. [hyper(697,a,2765,a),flip(a)]. 2773 T(x * y,y) = (1 / y) \ x. [hyper(382,a,2765,a),flip(a)]. 2774 T(x,y) = (y * x) / y. [hyper(242,a,2765,a),flip(a)]. 2775 T(x \ y,x) = y / x. [hyper(225,a,2765,a),flip(a)]. 2776 T(T(x \ y,z),x) = T(y / x,z). [hyper(35,a,222,a,b,2765,a),flip(a)]. 2777 T(T(T(x,y),z),y) = T(x,z). [hyper(35,a,18,a,b,2765,a),flip(a)]. 2778 T(x,y) * y = y * x. [hyper(114,a,2765,a(flip),b,101,a),flip(a)]. 2779 x * T(y,x \ 1) = y / (x \ 1). [hyper(113,a,2765,a(flip),b,378,a),flip(a)]. 2780 (1 / x) * T(y,x) = y / x. [hyper(113,a,2765,a(flip),b,365,a(flip)),flip(a)]. 2781 T(T(x \ y,z),z) != u \ y | x = u. [para(2765(a,2),43(a,1))]. 2782 T(x,y) != z | T(z,y) = x. [para(2765(a,1),44(a,1)),flip(a)]. 2784 x * y != z | T(y,x) * x = z. [para(2765(a,1),248(a,1,2))]. 2785 (x * y) / x != z | T(y,x) = z. [para(2765(a,1),281(a,1,1,2))]. 2786 T(T(x,y),z) * y = y * T(x,z). [para(2765(a,1),212(a,1,2,1)),flip(a)]. 2787 L(T(x,y),z,u) * y = y * L(x,z,u). [para(2765(a,1),213(a,1,2,1)),flip(a)]. 2788 R(T(x,y),z,u) * y = y * R(x,z,u). [para(2765(a,1),214(a,1,2,1)),flip(a)]. 2789 x \ T(y,x) = y * (x \ 1). [para(2765(a,1),676(a,1,1)),flip(a)]. 2790 (T(x,y * z) * y) * z = (y * z) * R(x,y,z). [para(2765(a,1),553(a,1,2,1)),flip(a)]. 2791 (1 / x) \ T(y,x \ 1) = y * x. [para(2765(a,1),1972(a,1,1)),flip(a)]. 2792 L(T(x,y),y,y) = T(x,y \ 1). [para(2765(a,1),2001(a,1,1)),flip(a)]. 2793 (1 / T(x,y)) * y = y / x. [para(2765(a,1),2242(a,1,2)),flip(a)]. 2794 (x / y) / x = 1 / T(y,x). [para(2765(a,1),2256(a,1,1,2))]. 2795 T(1 / T(x,y),y) = y \ (y / x). [para(2765(a,1),2254(a,1,2,2)),flip(a)]. 2799 ((1 / x) \ y) * T(x,z) = x * ((y * K(x,z)) * x). [para(2730(a,2),108(a,1,2,1,2)),flip(a)]. 2800 (x \ y) \ y = K(x,x \ y) * x. [hyper(570,a,2741,a)]. 2801 K(T(x,y),z) * T(x,y) = T(T(x,z),y). [hyper(354,a,2741,a),flip(a)]. 2805 (x * (y / x)) / x = x \ y. [hyper(581,a,2774,a),flip(a)]. 2806 x * ((x * y) / x) = y * x. [hyper(114,a,2774,a(flip),b,17,a(flip))]. 2807 T(x,y) != z / y | y * x = z. [para(2774(a,2),41(a,1))]. 2808 T(x,y) * y != z | y * x = z. [para(2774(a,2),227(a,1,1))]. 2809 x * ((x * y) / x) != z | y * x = z. [para(2774(a,1),248(a,1,2))]. 2810 T(T(x,y),y) != z | x = z. [para(2774(a,2),281(a,1))]. 2811 T(x \ y,x) != z | y / x = z. [para(2774(a,2),284(a,1))]. 2814 x \ T(x * y,y) = T(y,x * y). [para(2774(a,2),835(a,1,2))]. 2815 T(x * y,y) * (z * y) = y * ((x * z) * y). [para(2774(a,2),415(a,1,1))]. 2816 x * (((y / x) * z) * x) = T(y,x) * (z * x). [para(2774(a,2),853(a,1,1)),flip(a)]. 2818 (x * (y * z)) / (x * y) = L(T(z,x * y),y,x). [para(2774(a,2),739(a,1,1)),flip(a)]. 2819 T(L(x,y,z) * (x \ u),x) = (L(x,y,z) * u) / x. [para(1272(a,1),2774(a,2,1))]. 2820 T(K(x,y),y) != z | K(x,y) = z. [para(2774(a,2),1886(a,1))]. 2821 (x \ ((1 / x) \ y)) * L(z,x,x) = x \ T((y * z) * x,x). [para(2774(a,2),2048(a,2,2))]. 2822 T(T(x,y) \ 1,y) = (y * x) \ y. [para(2774(a,2),2257(a,1,1,1))]. 2823 ((x * y) \ x) * (x \ 1) = x \ (T(y,x) \ 1). [para(2774(a,2),2276(a,1,2,1)),flip(a)]. 2824 K(x,y) = ((y * x) / y) \ x. [para(2774(a,1),2647(a,2,1))]. 2825 K(x,y) * ((y * x) / y) = x. [para(2774(a,1),2658(a,1,2))]. 2826 ((x \ y) \ y) \ y = y / x. [hyper(2239,a,2775,a)]. 2827 K(x,x \ y) * (x \ y) = y / x. [hyper(58,a,2692,a(flip),b,2775,a)]. 2828 (x \ y) * x = x * (y / x). [hyper(114,a,2775,a(flip),b,17,a(flip)),flip(a)]. 2829 (1 / x) * (x \ y) = (y / x) / x. [hyper(113,a,2775,a(flip),b,365,a(flip)),flip(a)]. 2830 T(x,y) != z / y | y \ z = x. [para(2775(a,1),44(a,1)),flip(a)]. 2831 (x \ y) \ (x * (y / x)) = x. [para(2775(a,1),207(a,1,2,2))]. 2832 x * (y / x) != z * x | x \ y = z. [para(2775(a,1),217(a,1,2))]. 2835 (x / y) * (y \ 1) = y \ (y \ x). [para(2775(a,1),676(a,1,1))]. 2836 (x / y) \ (y \ (y \ x)) = y \ 1. [para(2775(a,1),679(a,1,1))]. 2837 (x \ y) \ T(x,x \ y) = (y / x) \ x. [para(2775(a,1),2245(a,1,1)),flip(a)]. 2838 (x / y) \ (y \ x) = K(y,y \ x). [para(2775(a,1),2648(a,2,1)),flip(a)]. 2840 x \ (y * (x * x)) = x * y. [hyper(924,a,2778,a)]. 2841 x \ T(y,x \ 1) = (x \ 1) * T(y,x). [hyper(707,a,2778,a)]. 2842 T(x,y / x) \ y = y / x. [hyper(112,a,7,a(flip),b,2778,a)]. 2843 T(x,y) = y * (x * (y \ 1)). [hyper(30,a,703,a,b,2778,a),flip(a)]. 2844 T(x * ((1 / x) * y),x) = x * (y / x). [hyper(30,a,1987,a(flip),b,2778,a),flip(a)]. 2845 (x * T(y,z)) \ (x * (z * y)) = L(z,T(y,z),x). [para(2778(a,1),13(a,2,2,2)),flip(a)]. 2846 ((x * T(y,z)) * z) / (z * y) = R(x,T(y,z),z). [para(2778(a,1),15(a,2,2)),flip(a)]. 2847 x * ((1 / x) \ y) = (y * x) * x. [para(368(a,1),2778(a,1,1)),flip(a)]. 2848 (x * y) * L(z,x,T(y,x)) = T(y,x) * (x * z). [para(2778(a,1),87(a,1,1))]. 2849 L(x \ y,x,T(z,x)) = (x * z) \ (T(z,x) * y). [para(2778(a,1),89(a,2,1))]. 2850 ((x * y) * z) / (x * z) != u | R(T(y,x),x,z) = u. [para(2778(a,1),457(a,1,1,1))]. 2852 x * ((y / x) \ 1) = (y \ x) * x. [para(2257(a,1),2778(a,1,1)),flip(a)]. 2853 (L(x,y,z) \ 1) * x = x * (1 / L(x,y,z)). [para(2525(a,1),2778(a,1,1))]. 2855 (x * y) * K(z,y) = x * (y * K(z,y)). [hyper(114,a,2664,a(flip),b,13,a(flip))]. 2856 T(T(T(x,y),z),y) != u | T(x,z) = u. [para(18(a,1),2810(a,1,1))]. 2857 T(x,y) != z | (y * x) / y = z. [para(205(a,1),2810(a,1,1))]. 2862 T(K(x,y),R(x,z,u)) != w | K(x,y) = w. [para(1912(a,1),2810(a,1,1))]. 2863 T(x \ y,y) != z | (x / y) \ 1 = z. [para(2257(a,1),2810(a,1,1))]. 2865 T(a(x \ 1,y,z),x) != u | a(x \ 1,y,z) = u. [para(2513(a,1),2810(a,1,1))]. 2866 T(x,y) = 1 / (x \ K(y,x)). [hyper(178,a,2679,a),flip(a)]. 2868 x * (y * K(x,y)) = T(x,y) * y. [hyper(114,a,2684,a(flip),b,2307,a)]. 2870 R(x * K(y,x),y,z) = ((y * x) * z) / (y * z). [para(2684(a,1),94(a,1,1))]. 2871 R(x / y,y,K(z,x)) \ ((z * x) / z) = y * K(z,x). [para(2684(a,2),446(a,1,2))]. 2872 R(x * K(y,x),z,u) = (y * R(x,z,u)) / y. [para(2684(a,1),740(a,1,1))]. 2873 K(x,y) = (1 / y) * ((x * y) / x). [para(2684(a,2),2073(a,1,2)),flip(a)]. 2874 K(x,x \ y) / (y / x) = 1 / (x \ y). [para(2775(a,1),2717(a,1,2))]. 2875 T(L(L(x * K(y,x),y,x * K(y,x)),z,u) * y,x * K(y,x)) = L(x * K(y,x),z,u) * T(y,x). [para(2718(a,1),2356(a,2,2))]. 2876 T(T(x,x \ 1),y) = (x \ 1) \ K(x,y). [hyper(112,a,2731,a,b,212,a),flip(a)]. 2877 x \ (y * T(y \ x,z)) = K((x \ y) \ 1,z). [hyper(2379,a,2740,a)]. 2878 K(x,y) \ 1 = K(y,x). [hyper(58,a,2648,a,b,2740,a),flip(a)]. 2879 K(x,y) \ 1 = K(x,y). [hyper(58,a,2647,a,b,2740,a),flip(a)]. 2880 1 / K(x,y) = K(y,x). [hyper(178,a,2878,a)]. 2881 x * (K(y,z) * K(z,y)) = x. [para(2878(a,1),65(a,1,2,2))]. 2882 1 / K(x,y) != z | K(y,x) = z. [para(2878(a,1),280(a,1,2))]. 2883 (K(x,y) * z) * T(K(y,x),z) = z. [para(2878(a,1),2259(a,1,2,1))]. 2884 1 / K(x,y) = K(x,y). [hyper(178,a,2879,a)]. 2885 K(x,y) \ 1 != z | K(y,x) = z. [para(2879(a,2),508(a,1))]. 2886 (K(x,y) * z) * K(y,x) = T(z,K(y,x)). [para(2880(a,1),365(a,2,1,1)),flip(a)]. 2887 K(x,T(y,x)) = K(x,y). [hyper(29,a,2654,a,b,2745,a),flip(a)]. 2888 K(T(x,y),y) = K(y,x). [hyper(508,a,2887,a)]. 2889 K(x,x \ (y * x)) = K(x,y). [para(17(a,1),2887(a,1,2))]. 2890 K(x,y / x) = K(x,x \ y). [para(100(a,1),2887(a,1,2)),flip(a)]. 2892 K(T(x,y),y) = K(x,y). [hyper(272,a,28,a,b,2888,a),flip(a)]. 2893 K(x / y,y) = K(y \ x,y). [para(100(a,1),2892(a,1,1)),flip(a)]. 2894 K((x \ y) \ y,x \ y) = K(x,x \ y). [para(99(a,1),2892(a,1,1))]. 2895 (T(x,y) * y) / T(x,y) = y * K(x,y). [para(2892(a,1),2684(a,2,2))]. 2896 (x * (y * z)) \ ((x * (z * K(y,z))) * y) = a(x,z * K(y,z),y). [para(2746(a,1),9(a,2,1,2)),flip(a)]. 2898 x / (x / y) = (y \ x) \ x. [hyper(570,a,2766,a),flip(a)]. 2902 T(1 / (1 / x),y) = (T(x,y) \ 1) \ 1. [para(2766(a,1),1611(a,1,1))]. 2904 T(x,y) != z \ 1 | (z * y) \ y = x. [para(2767(a,1),44(a,1)),flip(a)]. 2905 T((x * y) \ x,x) = T(y,x) \ 1. [para(2778(a,1),2767(a,1,1,1))]. 2907 x \ ((y \ x) * x) = (y / x) \ 1. [hyper(583,a,2768,a)]. 2908 1 / T(x \ y,y) = x / y. [hyper(178,a,2768,a(flip))]. 2909 T(x,y) = ((y / x) / y) \ 1. [para(74(a,1),2768(a,1,1))]. 2911 (x * x) * ((y / x) \ 1) = (x * (y \ x)) * x. [para(2768(a,1),1159(a,1,2))]. 2912 ((x / y) \ 1) * T((x / y) \ 1,y) = (x \ y) * T(x \ y,y). [para(2768(a,2),2274(a,2,2))]. 2913 T((x / y) \ 1,y) != z | x \ y = z. [para(2768(a,1),2810(a,1,1))]. 2914 x / (x \ 1) = (1 / x) \ x. [hyper(382,a,2772,a),flip(a)]. 2915 x * L(y,x,x) = T(y * x,x). [para(2008(a,1),2772(a,1,1)),flip(a)]. 2916 T(x * y,x) != z | y / (x \ 1) = z. [para(2772(a,1),2810(a,1,1))]. 2917 x * T(y * z,z) = x * ((1 / z) \ y). [hyper(114,a,2773,a,b,4,a)]. 2918 x \ T(y * x,x) = L(y,x,x). [hyper(112,a,2773,a,b,2000,a)]. 2919 T(x * y,y) * z = ((1 / y) \ x) * z. [hyper(52,a,2773,a)]. 2920 T(x,y) = (1 / y) \ (x / y). [para(7(a,1),2773(a,1,1))]. 2921 T(x,y) != (1 / y) \ z | z * y = x. [para(2773(a,1),44(a,1)),flip(a)]. 2922 (x * x) * ((1 / x) \ y) = (x * (y * x)) * x. [para(2773(a,1),1159(a,1,2))]. 2924 (1 / x) \ T(y,x) = T(x * y,x). [para(2778(a,1),2773(a,1,1)),flip(a)]. 2925 L(T(x,y \ 1),y,y) = T(x,y). [hyper(2039,a,2777,a)]. 2926 T(x,y \ 1) / y = T(x,y) * (1 / y). [hyper(113,a,2777,a(flip),b,1985,a(flip))]. 2928 x \ (y / (x \ 1)) = T(y,x \ 1). [hyper(112,a,2780,a(flip),b,165,a(flip))]. 2929 (1 / x) * T(x \ y,z) = T(y / x,z) / x. [para(222(a,1),2780(a,1,2))]. 2930 L(x \ T(y,z),x,1 / z) = ((1 / z) * x) \ (y / z). [para(2780(a,1),89(a,2,2))]. 2931 T((1 / x) \ y,z) / x = (1 / x) * T(y * x,z). [para(381(a,1),2780(a,1,2)),flip(a)]. 2932 (x \ 1) * (x \ T(y,x)) = x \ (y / x). [para(2780(a,1),1155(a,1,2)),flip(a)]. 2933 L(x / y,y,y) = y \ T(x,y). [para(2780(a,1),1996(a,1,1))]. 2934 x \ (T(y,x) \ x) = y \ 1. [hyper(2248,a,2789,a)]. 2935 T(x,y) \ y = y * (x \ 1). [hyper(2247,a,2789,a)]. 2936 T(x \ y,x \ 1) = x \ T(y,x). [hyper(272,a,383,a,b,2789,a)]. 2937 x \ T(x * y,x) = T(y,x \ 1). [hyper(272,a,378,a(flip),b,2789,a),flip(a)]. 2938 x * (y * (x \ 1)) != z | T(y,x) = z. [para(2789(a,1),230(a,1,2))]. 2939 x * (x * (y * (x \ 1))) = y * x. [para(2789(a,1),208(a,1,2,2))]. 2940 (x * ((y * (x \ 1)) * z)) * x = T(y,x) * T(x * z,x). [para(2789(a,1),1163(a,1,1,2,1))]. 2941 x * (L(x,y,z) * (u * (x \ 1))) = L(x,y,z) * T(u,x). [para(2789(a,1),1272(a,1,2,2))]. 2942 (x * ((x \ 1) / y)) * x = x * (1 / T(y,x \ 1)). [para(2793(a,1),703(a,1,1,2))]. 2943 x / ((y \ 1) \ 1) = (T(y,x) \ 1) * x. [para(1612(a,1),2793(a,1,1)),flip(a)]. 2944 (K(x,y) / x) * y = y / x. [para(2657(a,2),2793(a,1,1))]. 2945 (K(x,y) / y) * x = x / y. [para(2681(a,2),2793(a,1,1))]. 2947 (x \ y) * x != z | x * (y / x) = z. [para(2805(a,1),227(a,1,1))]. 2948 K(a(x,y,z),x * (y * z)) * (((x * y) * z) / (x * (y * z))) = a(x,y,z). [para(79(a,1),2825(a,1,2,1))]. 2949 L(x,x,x) \ 1 = 1 / x. [para(2012(a,2),2826(a,1,1))]. 2950 L(x * (y / x),x \ y,x \ y) = ((x \ y) \ 1) \ x. [para(2828(a,1),2002(a,1,1))]. 2951 (x * (y / x)) * (y / x) = y * (x \ y). [para(2828(a,1),2299(a,1,1))]. 2952 T(x,y * y) = L(x,y,y). [hyper(809,a,2840,a)]. 2953 x * ((y / x) * (y / x)) = (y / x) * y. [hyper(505,a,2840,a),flip(a)]. 2954 (x * y) / (x * x) = x \ y. [hyper(502,a,2840,a),flip(a)]. 2955 (x * (x * y)) / (x * x) = y. [hyper(256,a,2840,a),flip(a)]. 2956 x * (y * y) = y * (y * x). [hyper(127,a,2840,a),flip(a)]. 2957 (x \ 1) * ((x * y) * (x * y)) = (x * y) * T(y,x \ 1). [hyper(114,a,378,a(flip),b,2840,a),flip(a)]. 2958 x * (x * y) != z | y * (x * x) = z. [para(2840(a,1),230(a,1,2))]. 2959 x \ (y * (y * x)) = y * y. [para(2840(a,1),66(a,1,2,2))]. 2960 (x * ((1 / y) * (1 / y))) * y = T((1 / y) * x,y). [para(2840(a,1),368(a,1,1)),flip(a)]. 2961 (x * (y * y)) / y = T(y * x,y). [para(2840(a,1),2775(a,1,1)),flip(a)]. 2962 L(T(x,y * y),y,y) = x. [hyper(2810,a,2952,a),flip(a)]. 2963 L((x * x) \ y,x,x) = y / (x * x). [hyper(58,a,2775,a(flip),b,2952,a),flip(a)]. 2964 x * K(x,y * y) = L(x,y,y). [hyper(58,a,2674,a(flip),b,2952,a)]. 2965 L(L(x,y,y),y,y) = x. [para(2952(a,1),2962(a,1,1))]. 2966 L(x * y,y,y) = x / (1 / y). [hyper(2033,a,2965,a),flip(a)]. 2967 L((x \ 1) \ y,x,x) = x * y. [hyper(2014,a,2965,a),flip(a)]. 2968 L(L(L(x,y,y),z,u),y,y) = L(x,z,u). [hyper(36,a,25,a,b,2965,a),flip(a)]. 2969 x \ L(y,x,x) = (x \ 1) * y. [hyper(114,a,2965,a(flip),b,2013,a),flip(a)]. 2970 (1 / x) \ L(y,x,x) = x * y. [hyper(114,a,2965,a(flip),b,1998,a),flip(a)]. 2971 x * (x * L(y,x,x)) = (x * x) * y. [hyper(114,a,2965,a(flip),b,13,a(flip)),flip(a)]. 2972 L(x,y,y) * (1 / y) = x / y. [hyper(113,a,2965,a(flip),b,2006,a),flip(a)]. 2973 L(x,y,y) != z | L(z,y,y) = x. [para(2965(a,1),45(a,1)),flip(a)]. 2974 (x * x) * y != z | x * (x * L(y,x,x)) = z. [para(2965(a,1),251(a,1,2))]. 2975 (x \ y) * ((x \ 1) \ 1) = T(y,x \ 1). [hyper(416,a,2843,a),flip(a)]. 2976 x * ((y \ 1) * (x \ 1)) = (y * x) \ x. [hyper(58,a,2258,a(flip),b,2843,a),flip(a)]. 2977 T(x,y) \ ((y * x) * (y \ 1)) = a(y,x,y \ 1). [para(2843(a,2),9(a,2,1)),flip(a)]. 2979 x \ T(y,x) != z | y * (x \ 1) = z. [para(2843(a,2),287(a,1,2))]. 2980 x * (y \ T(z,y)) != u | x * (z * (y \ 1)) = u. [para(2843(a,2),507(a,1,2,2))]. 2981 K(x,y) * (z * K(y,x)) = T(z,K(x,y)). [para(2878(a,1),2843(a,2,2,2)),flip(a)]. 2982 K(x,y) * (z * K(x,y)) = T(z,K(x,y)). [para(2879(a,1),2843(a,2,2,2)),flip(a)]. 2985 x * K(y,y \ x) = y * (x / y). [hyper(114,a,2890,a(flip),b,83,a)]. 2988 ((x \ y) \ y) \ y != z | y / x = z. [para(2898(a,1),290(a,1,1))]. 2990 (1 / x) \ ((((x \ 1) \ 1) \ y) * z) = (y * (z / (1 / x))) * (1 / x). [para(2898(a,1),666(a,1,2,1,1))]. 2994 L(1 / x,y,z) * T(u,x) = (a(x,z,y) * u) / x. [para(2920(a,2),1296(a,1,2))]. 2995 T((x \ 1) \ 1,y) \ y = y * (1 / x). [hyper(114,a,2826,a(flip),b,2934,a),flip(a)]. 2996 T(1 / x,y) \ y = y * x. [hyper(114,a,74,a(flip),b,2934,a),flip(a)]. 2997 x \ ((x \ y) \ x) = (y / x) \ 1. [para(100(a,1),2934(a,1,2,1))]. 2998 x * (T(y,z) \ z) = x * (z * (y \ 1)). [para(2934(a,1),137(a,1,2,2)),flip(a)]. 2999 T(x,y) \ 1 = y \ (x \ y). [para(2765(a,1),2934(a,1,2,1)),flip(a)]. 3000 x \ ((y / x) \ x) = (x \ y) \ 1. [para(2775(a,1),2934(a,1,2,1))]. 3001 T((x * y) \ 1,x \ 1) = (x \ 1) * (y \ 1). [hyper(2285,a,2935,a)]. 3002 T(x,y) = y / (y * (x \ 1)). [hyper(178,a,2935,a),flip(a)]. 3003 L(T(x,y),z,u) \ y = y * (L(x,z,u) \ 1). [para(20(a,2),2935(a,1,1))]. 3004 x * (((1 / x) \ y) \ 1) = (y * x) \ x. [para(368(a,1),2935(a,1,1)),flip(a)]. 3005 T(x,y \ 1) \ (1 / y) = (1 / y) * (x \ 1). [para(1967(a,1),2935(a,1,1))]. 3006 x * (T(y,x) \ 1) = y \ x. [para(2765(a,1),2935(a,1,1)),flip(a)]. 3007 x * ((x \ y) \ 1) = (y / x) \ x. [para(2775(a,1),2935(a,1,1)),flip(a)]. 3008 ((1 / x) \ y) \ x = x * ((y * x) \ 1). [para(2773(a,1),2935(a,1,1))]. 3009 x / (y * y) = y \ (y \ x). [hyper(284,a,2954,a)]. 3010 (x \ y) \ (x * y) = x * x. [hyper(172,a,2954,a)]. 3012 x / (y * y) != z | y * (y * z) = x. [para(2955(a,1),41(a,1)),flip(a)]. 3013 x * (y * y) != z | y * (y * x) = z. [para(2955(a,1),227(a,1,1))]. 3016 x \ y != z * (u * u) | x * (u * (u * z)) = y. [para(2955(a,1),505(a,2,1))]. 3017 (x \ 1) \ x = x * x. [hyper(2046,a,2956,a)]. 3018 (x * (y \ x)) * (y \ 1) = (y \ x) * (y \ x). [hyper(983,a,2956,a)]. 3019 (x \ (x \ y)) \ y = x * x. [hyper(112,a,68,a(flip),b,2956,a)]. 3020 x * (x * K(y,x * x)) = T(x * x,y). [hyper(58,a,2692,a,b,2956,a),flip(a)]. 3021 (x * T(y,y \ 1)) * T(y,y \ 1) = T(y,y \ 1) * ((y \ 1) \ x). [hyper(1567,a,2956,a(flip))]. 3022 x * (y * (y * (x \ T(x,z)))) = T(x,z) * (y * y). [hyper(114,a,2956,a(flip),b,2631,a)]. 3023 (x * (x * y)) / y = T(x * x,y). [hyper(113,a,2956,a(flip),b,2778,a)]. 3024 (x * (y * y)) \ ((y * y) * x) = a(y,y,x). [para(2956(a,2),9(a,2,1)),flip(a)]. 3025 x * (y * y) != y * (y * z) | z = x. [para(2956(a,1),39(a,1)),flip(a)]. 3026 ((x * x) * y) \ (x * (x * y)) = K(x * x,y). [para(2956(a,1),109(a,2,2)),flip(a)]. 3027 (x \ 1) * ((x \ 1) * y) = y * (x \ (1 / x)). [para(684(a,1),2956(a,1,2)),flip(a)]. 3028 (x * (y * y)) \ ((y * y) * x) != z | a(y,y,x) = z. [para(2956(a,2),588(a,1,1))]. 3029 ((1 / x) * y) * y = (y * y) / x. [hyper(113,a,2959,a(flip),b,664,a),flip(a)]. 3030 T(1 / (x \ y),x) = x / y. [hyper(299,a,2996,a),flip(a)]. 3031 T(1 / x,y) = y / (y * x). [hyper(178,a,2996,a),flip(a)]. 3032 T(1 / x,y) * (y * x) = y. [hyper(127,a,2996,a)]. 3033 (1 / x) * (y * x) = T(y,x \ 1). [hyper(114,a,2996,a(flip),b,2246,a(flip))]. 3034 (x \ 1) * (1 / x) = x \ (x \ 1). [para(946(a,1),2996(a,1,1)),flip(a)]. 3035 (T(x,y) \ 1) \ x = x * T(x,y). [para(1867(a,1),2996(a,1,1))]. 3036 T(1 / x,y) / y = 1 / T(y * x,y). [para(2996(a,1),2908(a,1,2,1)),flip(a)]. 3037 T(x,y * x) = T(1 / x,y) \ 1. [hyper(272,a,834,a,b,2999,a)]. 3038 T(x,y) = 1 / (y \ (x \ y)). [hyper(178,a,2999,a),flip(a)]. 3039 (T(x,y) \ 1) \ z = (y \ (x \ y)) \ z. [hyper(56,a,2999,a)]. 3040 R(T(x,y),z,u) \ 1 = y \ (R(x,z,u) \ y). [para(22(a,2),2999(a,1,1))]. 3041 T(x / y,x) \ 1 = x \ y. [para(74(a,1),2999(a,2,2))]. 3042 T(T(x,y) \ 1,y \ 1) = (x \ y) * (y \ 1). [para(2999(a,2),383(a,1,1))]. 3043 (x * y) \ (x * (z \ y)) = L(T(z,y) \ 1,y,x). [para(2999(a,2),89(a,1,1)),flip(a)]. 3044 (T(x,y) \ 1) * ((x \ y) / y) = ((x \ y) / y) * (y \ (x \ y)). [para(2999(a,2),306(a,2,1)),flip(a)]. 3046 R(x,(y \ (z \ y)) \ 1,u) = R(x,T(z,y),u). [para(2999(a,1),2477(a,1,2,1))]. 3047 x \ (T(a(x \ 1,y,z) \ 1,u) \ x) = T(L(x,z,y) \ x,u) \ 1. [para(2534(a,1),2999(a,1,1)),flip(a)]. 3048 T(T(x,y) \ 1,y) = (x \ y) / y. [para(2999(a,2),2775(a,1,1))]. 3049 T(x,y) \ y != z | y * (x \ 1) = z. [para(3002(a,2),290(a,1,1))]. 3050 x * (L(T(y,x),z,u) \ 1) = L(y,z,u) \ x. [para(20(a,2),3006(a,1,2,1))]. 3052 (x \ 1) * ((y * (x \ 1)) \ 1) = (x \ y) \ (x \ 1). [para(383(a,1),3006(a,1,2,1))]. 3054 (1 / x) * (T(y,x \ 1) \ 1) = y \ (1 / x). [para(1967(a,1),3006(a,1,2,1))]. 3055 ((1 / x) * y) \ (x \ 1) = (x \ 1) * ((y / x) \ 1). [para(1979(a,1),3006(a,1,2,1)),flip(a)]. 3056 (x * x) * (L(y,x,x) \ 1) = y \ (x * x). [para(2952(a,1),3006(a,1,2,1))]. 3057 x \ (x \ T(y,x * x)) = y / T(x * x,y). [hyper(2243,a,3009,a),flip(a)]. 3058 x \ (x \ K(y,x * x)) = 1 / T(x * x,y). [hyper(58,a,2681,a(flip),b,3009,a),flip(a)]. 3059 ((x * x) \ y) * (y / (x * x)) = (x \ (x \ y)) * ((x * x) \ y). [para(3009(a,1),306(a,1,1)),flip(a)]. 3060 ((x \ (x \ 1)) * y) \ y = T(x * x,y). [para(3009(a,1),2261(a,2,1,1)),flip(a)]. 3061 x / (y \ (y \ x)) = ((y * y) \ x) \ x. [para(3009(a,1),2898(a,1,2))]. 3062 x / (y * y) != z | y \ (y \ x) = z. [para(3019(a,1),280(a,1,2))]. 3063 T(x / y,x) = 1 / (x \ y). [hyper(2782,a,3030,a)]. 3064 a(x \ 1,y,z) \ 1 = 1 / (x \ L(x,z,y)). [hyper(2540,a,3030,a)]. 3065 (1 / (x \ y)) / x = (1 / x) * (x / y). [hyper(114,a,3030,a(flip),b,2920,a(flip)),flip(a)]. 3066 (1 / x) \ (1 / ((x \ 1) \ y)) = ((x \ 1) / y) * x. [para(3030(a,1),1972(a,1,1)),flip(a)]. 3067 L(1 / (x \ y),x,x) = T(x / y,x \ 1). [para(3030(a,1),2001(a,1,1)),flip(a)]. 3068 (x / (x / y)) / x = 1 / (1 / (x \ y)). [para(3030(a,1),2256(a,1,1,2))]. 3069 x * (1 / (x \ y)) = (x / y) * x. [para(3030(a,1),2778(a,1,1)),flip(a)]. 3071 (x \ y) / (x * (y / x)) = T(1 / x,x \ y). [para(2831(a,1),3030(a,1,1,2)),flip(a)]. 3072 T(1 / x,y) \ y != z | y * x = z. [para(3031(a,2),290(a,1,1))]. 3073 x * (x / (x * y)) != z | (1 / y) * x = z. [para(3031(a,1),248(a,1,2))]. 3077 1 / T(x,y * x) = T(1 / x,y). [para(834(a,2),3038(a,2,2)),flip(a)]. 3078 x \ 1 != y \ z | T(y / z,y) = x. [para(3041(a,1),43(a,1)),flip(a)]. 3080 (x * x) \ 1 = x \ (x \ 1). [para(2772(a,1),3041(a,1,1))]. 3081 T(T(x / y,x) \ z,x \ y) = z * (x \ y). [para(3063(a,2),368(a,1,1,1))]. 3083 T(1 / (x \ y),x) != z | x / y = z. [para(3063(a,1),2810(a,1,1))]. 3084 T(x * x,y) \ y = y * (x \ (x \ 1)). [hyper(114,a,3080,a(flip),b,2934,a),flip(a)]. 3085 K(x,y) * y != z | T(y,x) = z. [para(1884(a,2),2690(a,1))]. 3086 L(x,y,z) \ L(T(x,u),y,z) != w | K(L(x,y,z),u) = w. [para(20(a,2),2691(a,1,2))]. 3087 x \ L(T(x,y),y,x) != z | K(x,x * y) = z. [para(596(a,2),2691(a,1,2))]. 3088 (R(T(x,y),z,u) * K(x,w)) * v5 = R(T(x,y),z,u) * (K(x,w) * v5). [para(2701(a,1),452(a,1,1,1)),flip(a)]. 3089 x / y != z | T(y \ x,y) = z. [para(5(a,1),2785(a,1,1))]. 3092 (x * x) * T(y,x \ 1) = x * (y * x). [hyper(114,a,2792,a(flip),b,211,a)]. 3094 x \ T(y,x \ 1) != z | (x \ 1) * T(y,x) = z. [para(681(a,1),2808(a,1))]. 3098 ((x * y) \ y) * y != z | y * (x \ 1) = z. [para(2258(a,1),2808(a,1,1))]. 3101 T(1 / ((x \ 1) \ y),x) = L((x \ 1) / y,x,x). [para(3030(a,1),2925(a,1,1)),flip(a)]. 3102 T((x * y) * y,y) = y * (x / (1 / y)). [hyper(114,a,2966,a(flip),b,2918,a),flip(a)]. 3103 (1 / x) \ (y * x) = x * (y / (1 / x)). [hyper(114,a,2966,a(flip),b,1998,a),flip(a)]. 3104 (x * x) * (y / (1 / x)) = x * (x * (y * x)). [hyper(114,a,2966,a(flip),b,13,a(flip))]. 3105 (x / y) / (1 / y) = L(x,y,y). [para(7(a,1),2966(a,1,1)),flip(a)]. 3106 L(T(x * y,z),y,y) = T(x / (1 / y),z). [para(2966(a,1),20(a,2,1))]. 3107 (1 / x) \ ((x \ 1) \ y) = x * (x * y). [hyper(114,a,2967,a(flip),b,1998,a),flip(a)]. 3108 x * (x * ((x \ 1) \ y)) = (x * x) * (x * y). [hyper(114,a,2967,a(flip),b,13,a(flip)),flip(a)]. 3109 x * ((x \ 1) * y) = L(y,x,x). [para(4(a,1),2967(a,1,1)),flip(a)]. 3110 L(x,y,y) != y * z | (y \ 1) \ z = x. [para(2967(a,1),45(a,1)),flip(a)]. 3112 L(x * (y \ 1),y,y) = x / y. [hyper(1141,a,2969,a),flip(a)]. 3113 L(x,y \ 1,y) = L(x,y,y). [hyper(522,a,2969,a)]. 3114 x * ((x \ 1) * y) != z | L(y,x,x) = z. [para(2969(a,1),230(a,1,2))]. 3115 (x \ 1) * (x \ (x \ y)) = x \ ((x * x) \ y). [para(254(a,1),2969(a,1,2)),flip(a)]. 3116 (x \ 1) * ((1 / x) * y) = x \ (x \ y). [para(1996(a,1),2969(a,1,2)),flip(a)]. 3117 L(T(x,y),y \ 1,y) = T(x,y \ 1). [hyper(272,a,2792,a(flip),b,3113,a),flip(a)]. 3118 (1 / x) * (x * y) = L(y,x,x). [hyper(127,a,2970,a)]. 3119 (1 / x) * (x * y) != z | L(y,x,x) = z. [para(2970(a,1),230(a,1,2))]. 3120 L(x,y,y) * y = T(y * x,y). [para(2970(a,1),368(a,1,1)),flip(a)]. 3121 (L(x,y,y) * (z / y)) * y = y \ ((y * x) * z). [para(2970(a,1),666(a,1,2,1)),flip(a)]. 3122 (1 / x) \ (x \ y) = x * ((1 / x) * y). [para(1996(a,1),2970(a,1,2))]. 3123 L(x * (y / (z \ 1)),z,z) * (1 / z) = z * ((z \ x) * y). [hyper(272,a,1164,a(flip),b,2972,a),flip(a)]. 3125 ((1 / x) * y) / x = (x \ y) * (1 / x). [para(1996(a,1),2972(a,1,1)),flip(a)]. 3126 x * ((x \ 1) * (y / x)) = x \ T(y,x). [hyper(272,a,2933,a(flip),b,3109,a),flip(a)]. 3127 T(x * (1 / y),y) = (y \ 1) * x. [hyper(215,a,2006,a,b,3109,a)]. 3128 T(x,y) = (y \ 1) * (x / (1 / y)). [hyper(215,a,2020,a(flip),b,3109,a)]. 3129 L(x \ y,x,x) = T(y,x) / x. [hyper(58,a,1153,a(flip),b,3109,a),flip(a)]. 3130 x \ L(y,x,x) != z | (x \ 1) * y = z. [para(3109(a,1),287(a,1,2))]. 3131 L(x,y,y) * (y \ 1) = x / ((y \ 1) \ 1). [para(3109(a,1),695(a,1,1))]. 3132 (1 / x) / x = x \ (x \ 1). [hyper(58,a,1996,a(flip),b,3112,a),flip(a)]. 3133 (x * (y \ 1)) * (1 / y) = (x / y) / y. [hyper(113,a,3112,a(flip),b,2006,a),flip(a)]. 3134 L(T(x * (y \ 1),z),y,y) = T(x / y,z). [para(3112(a,1),20(a,2,1))]. 3135 (x \ 1) * T((1 / (x \ 1)) / (x \ 1),y) = x \ T(x * ((x \ 1) \ 1),y). [para(3132(a,2),805(a,1,2,1))]. 3136 T(x * y,x) / x = L(y,x,x). [hyper(2287,a,3118,a)]. 3137 L(x,y \ 1,y \ 1) = y * ((y \ 1) * x). [hyper(296,a,3118,a),flip(a)]. 3138 (1 / x) * (x * (y * x)) = y / (1 / x). [hyper(272,a,2966,a(flip),b,3118,a),flip(a)]. 3139 a(1 / x,x,y) = L(y,x,x) \ y. [para(3118(a,1),201(a,1,1)),flip(a)]. 3140 x \ ((x * y) * (z * x)) = (L(y,x,x) * z) * x. [para(3118(a,1),664(a,1,1,1)),flip(a)]. 3141 (x \ ((x * y) * z)) / x = L(y,x,x) * (z / x). [para(3118(a,1),771(a,1,1)),flip(a)]. 3142 L(x,y * K(z,z \ 1),y * K(z,z \ 1)) * (K(z,z \ 1) * y) = T((y * K(z,z \ 1)) * x,y * K(z,z \ 1)). [hyper(1649,a,3120,a)]. 3144 T(x * (x * y),x) = ((x \ 1) \ y) * x. [para(2002(a,1),3120(a,1,1)),flip(a)]. 3145 (x * x) \ (x * y) = T(y,x) / x. [hyper(58,a,89,a(flip),b,3129,a)]. 3146 (x \ 1) * (T(y,x) / x) = x \ (x \ y). [hyper(114,a,3129,a(flip),b,2013,a)]. 3147 L(x,y,y) != z | (1 / y) * (y * x) = z. [para(3136(a,1),379(a,1))]. 3148 x * (T(x * y,x) \ x) = (L(y,x,x) \ 1) * x. [para(3136(a,1),2272(a,1,1,1)),flip(a)]. 3149 T(1 / x,y) * x = K(y,x \ 1). [hyper(393,a,2650,a)]. 3150 x * T(x \ y,z) = y * K(z,(y \ x) \ 1). [hyper(114,a,2650,a(flip),b,1036,a(flip)),flip(a)]. 3151 (x * y) * T((x * y) \ y,z) = y * K(z,T(x,y) \ 1). [para(2650(a,1),1290(a,1,2)),flip(a)]. 3153 K(x,y) * (T(y,x) \ z) = y \ z. [hyper(112,a,5,a(flip),b,2661,a),flip(a)]. 3154 T(x,x \ 1) * (y * T(x,x \ 1)) = x * (y * x). [para(1823(a,1),2661(a,1,2)),flip(a)]. 3155 T(x,y) * T(x,y) = x * x. [para(2668(a,1),2661(a,1,2)),flip(a)]. 3156 ((x * y) / x) * z = y * (K(x,y) * z). [para(2774(a,1),2661(a,2,1)),flip(a)]. 3157 (x \ y) * (K(x,x \ y) * z) = (y / x) * z. [para(2775(a,1),2661(a,2,1))]. 3158 (x / (x / y)) * z = y * (K(y \ x,y) * z). [para(2766(a,1),2661(a,2,1)),flip(a)]. 3159 T(x,y) * (T(x,y) * z) = z * (x * x). [hyper(114,a,3155,a(flip),b,2959,a),flip(a)]. 3160 (x * x) \ (T(x,y) * (T(x,y) * z)) = L(z,T(x,y),T(x,y)). [para(3155(a,1),13(a,2,1)),flip(a)]. 3161 T(x * y,y) * ((1 / y) \ x) = (x * y) * (x * y). [para(2773(a,1),3155(a,1,2))]. 3162 (1 / (x \ y)) * (1 / (x \ y)) = (x / y) * T(1 / (x \ y),x). [para(3030(a,1),3155(a,1,1)),flip(a)]. 3163 R(x * T(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). [hyper(2442,a,2671,a)]. 3164 L(x * T(x \ 1,y),z,u) = K(L(x,z,u) \ 1,y). [hyper(58,a,2436,a(flip),b,2671,a)]. 3165 (x * T(x \ y,z)) / y = K((x / y) \ 1,z). [hyper(58,a,1081,a(flip),b,2671,a)]. 3167 K(x \ 1,y) / x = T(1 / x,y). [hyper(113,a,2671,a(flip),b,389,a)]. 3169 K((x / y) \ 1,z) * y = x * T(x \ y,z). [para(2671(a,1),1077(a,1,1))]. 3173 x \ (((x \ y) \ y) * z) = K(x,x \ y) * z. [hyper(112,a,270,a(flip),b,2687,a)]. 3174 K(x,y) * (T(x,y) \ z) = x \ z. [hyper(112,a,5,a(flip),b,2687,a),flip(a)]. 3175 K(x / y,z) * x = y * T(y \ x,z). [hyper(29,a,1024,a,b,2687,a),flip(a)]. 3176 K(x,y) * (z * x) = T(x,y) * T(z,x). [hyper(29,a,1009,a,b,2687,a),flip(a)]. 3177 K(x * y,x) * T(x,y) = R(x,y,x). [hyper(29,a,2337,a(flip),b,2687,a),flip(a)]. 3179 (K(x,y) * z) / (x \ 1) = T(T(x,y) * z,x). [para(2687(a,1),680(a,1,1)),flip(a)]. 3180 (x \ 1) * (x \ (K(1 / x,y) * z)) = x \ (T(1 / x,y) * z). [para(2687(a,1),1155(a,1,2)),flip(a)]. 3181 x * (K(y,x) * K(x,z)) = T(x,z) * K(y,x). [para(1491(a,1),2687(a,1,2))]. 3182 K(x,y) * (y * z) = y * (K(x,y) * z). [hyper(272,a,2661,a,b,2694,a),flip(a)]. 3184 K(x,y * z) * (y * (z * u)) = T(y * z,x) * L(u,z,y). [para(87(a,1),2694(a,1,2))]. 3185 K(x,y) * (y * z) = ((x * y) / x) * z. [para(2774(a,1),2694(a,2,1))]. 3186 K(x,x \ y) * ((x \ y) * z) = (y / x) * z. [para(2775(a,1),2694(a,2,1))]. 3187 T(x,y) * (y * z) = x * (T(y,x) * z). [para(2694(a,1),2687(a,1,2)),flip(a)]. 3189 K(x,y * x) = K(x,x * y). [hyper(2691,a,2744,a),flip(a)]. 3190 K(x,y * x) != z | K(x,x * y) = z. [para(2744(a,1),2691(a,1))]. 3191 T(x,y) \ (K(x,y) * z) = x \ z. [hyper(112,a,2748,a(flip),b,1001,a(flip))]. 3192 x * (K(x,y) * z) != u | T(x,y) * z = u. [para(2748(a,1),230(a,1,2))]. 3193 T(K(x,y) * z,x) != u | (T(x,y) * z) / x = u. [para(2748(a,1),2811(a,1,1))]. 3194 (x \ y) * T((x \ y) \ y,z) = K(x,z) * y. [hyper(815,a,2749,a)]. 3195 K(x,y) \ (T(x,y) * z) = x * z. [hyper(802,a,2749,a)]. 3196 (T(x,y) * z) / (x * z) = K(x,y). [hyper(798,a,2749,a)]. 3197 x * (K(x,y) * (x \ z)) = K(x,y) * z. [hyper(58,a,2687,a,b,2749,a)]. 3198 (K(x,y) * z) / T(x,y) = T(x \ z,T(x,y)). [hyper(113,a,2749,a(flip),b,2778,a)]. 3199 x \ (K(x,y) * z) = K(x,y) * (x \ z). [hyper(112,a,2749,a(flip),b,2687,a)]. 3201 K(x,y) * (x * z) != u | T(x,y) * z = u. [para(2749(a,1),507(a,1))]. 3202 K(x,y) * T(x * L(x \ z,u,w),x) = T(x,y) * L(x \ T(z,x),u,w). [para(1423(a,1),2749(a,1,2)),flip(a)]. 3203 K(x,y) * T(x * R(x \ z,u,w),x) = T(x,y) * R(x \ T(z,x),u,w). [para(1445(a,1),2749(a,1,2)),flip(a)]. 3204 K(x,y) * T(x,z) = T(x,y) * K(x,z). [para(2672(a,2),2749(a,1,2)),flip(a)]. 3205 T(x,y) * (z * (x \ 1)) = K(x,y) * T(z,x). [para(2789(a,1),2749(a,1,2))]. 3206 T(x,y) * (T(z,x) \ 1) = K(x,y) * (z \ x). [para(2999(a,2),2749(a,1,2))]. 3208 K(x,y) * T(z * x,x) = T(x,y) * L(z,x,x). [para(2918(a,1),2749(a,1,2)),flip(a)]. 3210 K(x,y) \ (z * T(x,y)) = x * T(z,T(x,y)). [hyper(112,a,98,a(flip),b,2750,a)]. 3211 ((T(x,y) * z) * u) / ((x * z) * u) = R(K(x,y),x * z,u). [para(2750(a,1),15(a,2,1,1)),flip(a)]. 3213 K(x,y) * (x * z) != u * z | T(x,y) = u. [para(2750(a,2),39(a,1))]. 3218 (T(x,y) * z) \ (K(x,y) * (x * (z * u))) = L(L(u,z,x),x * z,K(x,y)). [para(2750(a,1),427(a,1,1))]. 3221 T(x,y) * K(z,T(x,y)) = T(x * K(z,x),y). [hyper(2761,a,2758,a)]. 3222 T(x,y) != T(z,u) | T(z * K(y,z),u) = x. [para(2758(a,1),44(a,2)),flip(b)]. 3223 T(T(x \ y,y),x) = 1 / (y \ x). [hyper(272,a,3063,a(flip),b,2776,a),flip(a)]. 3224 T(T(x / y,z),y) != u | T(y \ x,z) = u. [para(2776(a,1),2810(a,1,1))]. 3225 T(x / (1 / y),y) = T(x * y,y \ 1). [hyper(215,a,2032,a(flip),b,2779,a)]. 3226 (x * y) * T(y,x \ 1) = (y / (x \ 1)) * y. [para(2779(a,1),1234(a,1,1)),flip(a)]. 3227 x / ((y \ 1) \ 1) = (y \ 1) * T(x,y). [para(1970(a,1),2779(a,1,2)),flip(a)]. 3228 T(x,y) \ (y * T(x,z)) = K(T(x,y),z) * y. [hyper(112,a,2786,a(flip),b,2687,a)]. 3229 (1 / x) * (y * x) != z | T(y,x \ 1) = z. [para(2791(a,1),230(a,1,2))]. 3230 (T(x,y) \ 1) * T(T(x,y) \ 1,y) = T(x,y) \ (y \ (y / x)). [para(2795(a,1),756(a,2,2))]. 3234 T(x * y,y) / x = T(T(y,x * y),x). [para(2814(a,1),2775(a,1,1)),flip(a)]. 3236 (x * (y / z)) \ (x * (z \ (z \ y))) = L(z \ 1,y / z,x). [para(2835(a,1),13(a,2,2,2)),flip(a)]. 3239 (K(x,y) * z) * u != z | T(K(y,x),z) = u. [para(2883(a,1),38(a,1)),flip(a)]. 3240 (K(x,y) * K(y,z)) * K(y,x) = K(y,z). [para(1494(a,1),2883(a,1,2))]. 3241 T((x * y) \ x,x) = x \ (y \ x). [hyper(272,a,2999,a(flip),b,2905,a),flip(a)]. 3242 T(x,y) != T(z,y) \ 1 | (y * z) \ y = x. [para(2905(a,1),44(a,1)),flip(a)]. 3243 T(x,y) = (1 / y) * (x / (y \ 1)). [hyper(114,a,680,a(flip),b,2924,a),flip(a)]. 3244 T(x * y,x) * (z * x) = x * ((T(y,x) * z) * x). [para(2924(a,1),27(a,1,1))]. 3245 x * T(y,x \ 1) != z | y / (x \ 1) = z. [para(2928(a,1),230(a,1,2))]. 3247 ((x * x) * y) / x = y * x. [hyper(1138,a,2939,a)]. 3249 (x / y) / y = (y * y) \ x. [hyper(483,a,3247,a)]. 3250 ((x * x) \ y) * x = y / x. [hyper(284,a,3247,a),flip(a)]. 3251 (x * x) * (y / x) = y * x. [hyper(277,a,3247,a),flip(a)]. 3252 (x * y) * y = (y * y) * x. [hyper(125,a,3247,a)]. 3253 ((x * x) * (x * x)) * y = x * (x * (y * (x * x))). [hyper(32,a,2955,a,b,3247,a),flip(a)]. 3254 x \ ((x * x) * y) = T(y * x,x). [para(3247(a,1),100(a,1,1)),flip(a)]. 3255 (x * y) * y != z | (y * y) * x = z. [para(3247(a,1),227(a,1,1))]. 3256 ((x * y) * y) / x = y * y. [para(3247(a,1),77(a,1,1,1))]. 3257 ((x * y) * y) * z = ((y * y) * x) * z. [para(3247(a,1),135(a,1,1,1))]. 3258 (x * y) * y != (y * y) * z | x = z. [para(3247(a,1),118(a,1,1))]. 3260 T((x * y) \ 1,y) = ((y * y) * x) \ y. [para(3247(a,1),2257(a,1,1,1))]. 3261 (1 / x) * (x \ y) = (x * x) \ y. [hyper(58,a,2829,a,b,3249,a)]. 3262 ((x * x) \ y) / (y / x) = 1 / T(x,y / x). [hyper(113,a,3249,a(flip),b,2793,a)]. 3263 (x * x) \ (y * x) = y / x. [para(6(a,1),3249(a,1,1)),flip(a)]. 3264 ((x \ y) * (x \ y)) \ y = x / (x \ y). [para(72(a,1),3249(a,1,1)),flip(a)]. 3266 T(((x * x) \ y) \ 1,x) = (y / x) \ x. [para(3249(a,1),2257(a,1,1,1))]. 3267 ((x * x) \ y) / x = (x * x) \ (y / x). [para(3249(a,1),3249(a,1,1))]. 3268 x * (((x * x) \ y) * ((x * x) \ y)) = ((x * x) \ y) * (y / x). [hyper(114,a,3250,a(flip),b,2840,a),flip(a)]. 3271 ((x * y) * (x * y)) * (K(x,y) / (x * y)) = y * x. [hyper(272,a,2563,a(flip),b,3251,a),flip(a)]. 3272 x / (y / (y \ x)) = (y \ x) * (y \ x). [hyper(113,a,5,a(flip),b,3251,a)]. 3273 (x * x) \ (y * x) != z | y / x = z. [para(3251(a,1),287(a,1,2))]. 3274 ((1 / x) \ (x * x)) * y = x * ((y * x) * x). [para(3251(a,1),108(a,1,2,1)),flip(a)]. 3275 ((x * x) * y) * x = (x * x) * (y * x). [para(3247(a,1),3251(a,1,2)),flip(a)]. 3276 T((x \ y) * (x \ y),x) = x \ (y * (x \ y)). [hyper(827,a,3252,a)]. 3277 (x * (y \ x)) / y = (y \ x) * (y \ x). [hyper(806,a,3252,a)]. 3278 x \ ((x * y) * y) = T(y * y,x). [hyper(359,a,3252,a,b,xx),flip(a)]. 3279 ((x * x) * y) * y = x * (x * (y * y)). [hyper(272,a,2956,a(flip),b,3252,a),flip(a)]. 3280 x * ((y * z) * z) = x * ((z * z) * y). [hyper(114,a,3252,a,b,4,a)]. 3281 ((x * y) * y) \ z = ((y * y) * x) \ z. [hyper(56,a,3252,a)]. 3282 (x * (y * y)) \ ((y * y) * x) = a(x,y,y). [hyper(112,a,3252,a(flip),b,79,a)]. 3284 (x * (((y \ 1) * z) * z)) / (y \ 1) = y \ ((y * x) * (z * z)). [para(3252(a,2),1128(a,1,1,2))]. 3285 (x \ y) * (((x \ 1) * z) * z) = x \ ((y * (z * z)) / x). [para(3252(a,2),1136(a,1,2))]. 3286 (x * x) / ((y * x) * x) = T(1 / y,x * x). [para(3252(a,2),3031(a,2,2)),flip(a)]. 3287 L((x * y) * y,x,x) = (y * y) / (1 / x). [para(3252(a,2),2966(a,1,1))]. 3288 (x * T(y,z)) * T(y,z) = (y * y) * x. [para(3155(a,1),3252(a,2,1))]. 3289 ((x * (y * y)) * (y * y)) / x = y * (y * (y * y)). [hyper(272,a,2956,a(flip),b,3256,a),flip(a)]. 3290 x * (x * (y \ 1)) = y \ (x * x). [hyper(112,a,3256,a(flip),b,1133,a),flip(a)]. 3291 (x * x) * y != z | (y * x) * x = z. [para(3256(a,1),227(a,1,1))]. 3293 (x * x) \ (y * T(x,z)) = y / T(x,z). [para(3155(a,1),3263(a,1,1))]. 3294 (x * (y * y)) / y = x / (y \ 1). [hyper(272,a,680,a(flip),b,2961,a),flip(a)]. 3295 (x \ y) \ x = (y \ x) * x. [hyper(33,a,2907,a,b,2997,a),flip(a)]. 3296 (x \ y) * ((y \ x) * x) = x. [hyper(127,a,3295,a)]. 3297 (x \ (x / y)) * (y * x) = x. [hyper(114,a,174,a(flip),b,3295,a)]. 3298 ((x \ y) \ x) \ z = ((y \ x) * x) \ z. [hyper(56,a,3295,a)]. 3299 ((x * y) \ x) * x = y \ x. [para(4(a,1),3295(a,1,1)),flip(a)]. 3301 ((x / y) \ (1 / y)) * (1 / y) = T(x,y) \ (1 / y). [para(2920(a,2),3295(a,1,1)),flip(a)]. 3302 (x \ y) \ (z / (x \ z)) = (y \ x) * x. [hyper(807,a,3296,a)]. 3303 (x \ y) \ x != z | (y \ x) * x = z. [para(3296(a,1),287(a,1,2))]. 3304 T(x \ (x / y),y * x) = (y * x) \ x. [hyper(359,a,xx,b,3297,a)]. 3305 x / (y * x) = x \ (x / y). [hyper(122,a,3297,a)]. 3306 (x \ y) \ ((x \ y) / x) = (x \ y) / y. [hyper(113,a,3297,a(flip),b,137,a(flip)),flip(a)]. 3308 (x \ y) / y = (y * x) \ y. [hyper(122,a,3299,a)]. 3309 (x * (x / y)) \ x = y / x. [hyper(113,a,74,a(flip),b,3299,a),flip(a)]. 3310 ((x * y) \ x) / x = (x * x) \ (y \ x). [hyper(112,a,3299,a(flip),b,3251,a),flip(a)]. 3311 x \ y != z * y | (y * x) \ y = z. [para(3299(a,1),39(a,1))]. 3312 (x \ y) / y != z | (y * x) \ y = z. [para(3299(a,1),279(a,1,1))]. 3314 T(((x * y) \ x) \ 1,x) = (y \ x) \ x. [para(3299(a,1),2258(a,2,1))]. 3317 x / (x \ (x / y)) = ((y * x) \ x) \ x. [para(3305(a,1),2898(a,1,2))]. 3318 x / ((x * x) * y) = x \ (x / (y * x)). [para(3252(a,1),3305(a,1,2))]. 3319 ((x * y) \ x) * x != z | y \ x = z. [para(3308(a,1),227(a,1,1))]. 3322 x / (y / x) = x * (x / y). [hyper(178,a,3309,a)]. 3323 (x * (x / y)) * (y / x) = x. [hyper(127,a,3309,a)]. 3324 (x / (x * (x / y))) * ((x * (x / y)) \ 1) = (x * (x / y)) \ (y / x). [para(3309(a,1),2835(a,2,2))]. 3325 x / (y / x) != x * z | x / y = z. [para(3322(a,2),38(a,1))]. 3326 (x * (x / y)) \ x != z | y / x = z. [para(3322(a,1),290(a,1,1))]. 3327 x * ((x \ y) \ 1) != z | (y / x) \ x = z. [para(3000(a,1),230(a,1,2))]. 3328 (T(x * y,y) / x) \ x = x * (T(y,x * y) \ 1). [para(2814(a,1),3007(a,1,2,1)),flip(a)]. 3329 (x * x) * (1 / y) = (x * x) / y. [hyper(58,a,3252,a(flip),b,3029,a)]. 3330 (x * x) \ ((x * x) / y) = 1 / y. [hyper(112,a,3029,a(flip),b,3252,a(flip))]. 3331 (x * x) / T(y,x) = (x / y) * x. [para(2793(a,1),3029(a,1,1)),flip(a)]. 3332 ((x * y) * (x * y)) / x = L(y,x,x) * (x * y). [para(3118(a,1),3029(a,1,1)),flip(a)]. 3333 ((((1 / x) \ y) \ 1) * (((1 / x) \ y) \ 1)) / x = ((y / (1 / x)) \ (1 / x)) * (((1 / x) \ y) \ 1). [para(3007(a,1),3029(a,1,1)),flip(a)]. 3334 T(x,y * x) \ 1 = T(x \ 1,y). [para(3037(a,2),1616(a,1,1))]. 3335 K(x,y * x) / x = T(1 / x,y). [hyper(58,a,2657,a,b,3077,a)]. 3336 1 / T(x,x * y) = T(1 / x,y). [para(2315(a,1),3077(a,1,2))]. 3337 T(1 / x,x \ y) = 1 / T(x,y). [para(2317(a,1),3077(a,1,2)),flip(a)]. 3338 (x * (y * (1 / x))) / x = (x \ 1) * y. [hyper(2857,a,3127,a)]. 3339 T((x \ 1) * y,x) = y * (1 / x). [hyper(2782,a,3127,a)]. 3340 ((x \ 1) * y) * (x \ 1) = x \ (y * (1 / x)). [para(3127(a,1),676(a,1,1))]. 3341 (1 / (x * (1 / y))) * y = y / ((y \ 1) * x). [para(3127(a,1),2242(a,1,2)),flip(a)]. 3342 ((x \ 1) * y) * x = x * (y * (1 / x)). [para(3127(a,1),2778(a,1,1))]. 3343 T((x \ 1) * y,x) != z | y * (1 / x) = z. [para(3127(a,1),2810(a,1,1))]. 3344 (1 / ((x \ 1) * y)) * x = x / (y * (1 / x)). [para(3127(a,1),2793(a,1,1,2))]. 3345 x * ((y * (1 / x)) \ 1) = ((x \ 1) * y) \ x. [para(3127(a,1),2935(a,1,1)),flip(a)]. 3346 T(x * T(y / z,y),y \ z) = ((y \ z) \ 1) * x. [para(3063(a,2),3127(a,1,1,2))]. 3348 (x \ 1) \ T(y,x) = y / (1 / x). [hyper(112,a,3128,a,b,xx)]. 3349 (1 / (x \ y)) / (1 / x) = (x \ 1) \ (x / y). [hyper(112,a,3030,a(flip),b,3128,a(flip)),flip(a)]. 3350 T(x,y) / (1 / y) = (y \ 1) \ x. [hyper(112,a,2765,a(flip),b,3128,a(flip)),flip(a)]. 3351 ((x \ 1) \ 1) * (y / x) = T(y,x \ 1). [para(72(a,1),3128(a,2,2,2)),flip(a)]. 3352 (x * x) * ((1 / x) * y) = x * y. [hyper(544,a,3145,a)]. 3353 (x * x) \ (x * y) = (1 / x) * y. [hyper(272,a,369,a(flip),b,3145,a),flip(a)]. 3354 (x * x) \ (x * y) != z | (1 / x) * y = z. [para(3145(a,2),379(a,1))]. 3355 (x / (x * y)) * y = K(x,y \ 1). [para(3031(a,1),3149(a,1,1))]. 3357 K(x,y) * (y \ K(y,x)) = y \ 1. [para(2656(a,1),3153(a,1,2))]. 3359 (x \ y) / (T(x,z) \ y) = K(x,z). [hyper(122,a,3174,a)]. 3361 (T(R(x,y,z),u) * (y * z)) / ((x * y) * z) = K(R(x,y,z),u). [para(93(a,1),3196(a,1,2))]. 3362 T((x / y) \ 1,x) = 1 / (y \ x). [para(2768(a,1),3223(a,1,1))]. 3363 x / (L(x,y,z) \ 1) = (1 / L(x,y,z)) \ x. [hyper(112,a,156,a(flip),b,3243,a(flip)),flip(a)]. 3364 x * ((x \ (1 / x)) * y) = T(y,x) / x. [para(3243(a,2),1164(a,1,1)),flip(a)]. 3365 x \ ((1 / x) * ((x * x) * y)) = (x \ 1) * T(y * x,x). [para(3254(a,1),1155(a,2,2))]. 3366 (x \ 1) * (y * y) = x \ (y * y). [hyper(58,a,2956,a,b,3290,a)]. 3367 (1 / x) \ (y * y) = y * (y * x). [para(74(a,1),3290(a,1,2,2)),flip(a)]. 3368 x * (T(y,x) \ x) = y \ (x * x). [para(2935(a,2),3290(a,1,2))]. 3369 T(x,y) \ (y * y) = y * (x \ y). [para(3006(a,1),3290(a,1,2)),flip(a)]. 3370 (x / (y \ 1)) * y = x * (y * y). [hyper(125,a,3294,a)]. 3371 1 / T(x,y * y) = T(1 / x,y * y). [hyper(215,a,2242,a(flip),b,3329,a),flip(a)]. 3372 1 / (x \ (y * y)) = (y * y) \ x. [hyper(112,a,72,a(flip),b,3329,a),flip(a)]. 3373 L(x * x,y,y) = x * x. [hyper(30,a,2972,a,b,3329,a)]. 3374 1 / T(x * x,y) = T(x * x,y) \ 1. [hyper(29,a,1870,a,b,3329,a),flip(a)]. 3375 (x * x) / (y \ 1) = (x * x) * y. [para(72(a,1),3329(a,1,2)),flip(a)]. 3376 L((1 / x) * (1 / x),y,y) = (x \ 1) / x. [hyper(272,a,376,a(flip),b,3373,a),flip(a)]. 3377 a(x,x,y * y) = 1. [hyper(48,a,3373,a)]. 3378 T((x * x) * y,y) = y * (x * x). [hyper(114,a,3373,a(flip),b,2918,a),flip(a)]. 3379 (1 / x) \ (y * y) = x * (y * y). [hyper(114,a,3373,a(flip),b,1998,a),flip(a)]. 3380 ((x * x) * y) \ (x * x) = y \ 1. [hyper(112,a,3373,a(flip),b,2005,a)]. 3381 ((x * x) \ y) \ 1 = y \ (x * x). [hyper(112,a,3373,a(flip),b,2017,a(flip)),flip(a)]. 3382 L(L(x * x,y,z),u,u) = L(x * x,y,z). [para(3373(a,1),25(a,1,1)),flip(a)]. 3383 (x * x) * T(y * y,z) = x * (x * T(y * y,z)). [para(3373(a,1),364(a,1,2,1))]. 3384 (x * x) * (1 / y) != z | (x * x) / y = z. [para(3330(a,1),230(a,1,2))]. 3386 (x \ (1 / x)) / T(y,x \ 1) = ((x \ 1) / y) * (x \ 1). [para(684(a,1),3331(a,1,1))]. 3387 T(x \ 1,y / x) = T(x,y) \ 1. [para(7(a,1),3334(a,1,1,2)),flip(a)]. 3388 T(x,x * y) \ 1 = T(x \ 1,y). [para(2315(a,1),3334(a,1,1))]. 3389 T(x \ 1,x \ y) = T(x,y) \ 1. [para(2317(a,1),3334(a,1,1)),flip(a)]. 3390 K(x \ 1,y) = K(x,y * x). [hyper(32,a,3167,a,b,3335,a)]. 3391 K(x,y \ 1) = K(y,x * y). [hyper(32,a,2715,a,b,3335,a)]. 3392 K(x \ 1,y) = K(x,x * y). [hyper(272,a,3189,a(flip),b,3390,a),flip(a)]. 3393 x * K(x \ 1,y) = T(x,x * y). [hyper(114,a,3390,a,b,2744,a)]. 3394 K(x \ 1,y / x) = K(x,y). [para(7(a,1),3390(a,2,2))]. 3397 K(x,y \ 1) = K(y,y * x). [hyper(272,a,3189,a(flip),b,3391,a),flip(a)]. 3398 x * K(y,x \ 1) = T(x,x * y). [hyper(114,a,3391,a,b,2744,a)]. 3399 L(x,K(y,z \ 1),z) = x. [para(3391(a,2),2663(a,1,2))]. 3402 K(x,y \ 1) * ((x * y) * z) = T(x * y,y) * z. [para(3391(a,2),2694(a,1,1))]. 3403 x * K(y,y * x) = T(x,y \ 1). [hyper(114,a,3392,a(flip),b,2651,a(flip))]. 3404 K(x \ 1,x \ y) = K(x,y). [para(5(a,1),3392(a,2,2))]. 3405 L(x,y \ 1,K(y,z)) = x. [para(3394(a,1),2698(a,1,3))]. 3407 K(x,y) * ((x \ 1) * z) = (x \ K(x,y)) * z. [para(3405(a,1),1915(a,1,2)),flip(a)]. 3409 x * (K(y,x \ 1) * z) = T(x,x * y) * z. [para(3397(a,2),2687(a,1,2,1))]. 3410 L(x,y \ z,K(y,z)) = x. [para(3404(a,1),2695(a,1,3))]. 3411 R(K(x,y),x \ y,L(z,x \ y,K(x,y))) = (K(x,y) * ((x \ y) * z)) / ((x \ y) * z). [para(3410(a,1),428(a,1,2,2)),flip(a)]. 3413 T(x,y) != z * (1 / y) | (y \ 1) * z = x. [para(3339(a,1),44(a,1)),flip(a)]. 3414 T(x * (1 / y),y) != z | (y \ 1) * x = z. [para(3339(a,1),2810(a,1,1))]. 3416 (1 / x) * ((1 / x) / T(y,x)) = (1 / x) / ((x \ 1) \ y). [para(3350(a,1),3322(a,1,2)),flip(a)]. 3417 (x * x) * (((1 / x) * y) * z) = x * ((y * (z * x)) / x). [para(769(a,1),3352(a,1,2))]. 3418 T(x * y,(1 / x) * y) = (1 / ((1 / x) * y)) \ (x * x). [para(3352(a,1),2773(a,1,1))]. 3419 (x * x) * ((1 / T(x,y)) * z) = T(x,y) * z. [para(3155(a,1),3352(a,1,1))]. 3422 (x \ 1) / (x \ K(x,y)) = K(y,x). [hyper(122,a,3357,a)]. 3423 (x \ 1) / (x \ K(x,y)) != z | K(y,x) = z. [para(3357(a,1),279(a,1,1))]. 3424 T(1 / (x \ y),y) = (y / x) \ 1. [hyper(2782,a,3362,a)]. 3425 ((x / y) \ 1) * x = x * (1 / (y \ x)). [hyper(114,a,3362,a(flip),b,17,a(flip)),flip(a)]. 3426 1 / ((x \ y) \ y) = T(x \ 1,y). [para(72(a,1),3362(a,1,1,1)),flip(a)]. 3427 ((x * x) / y) \ 1 = y / (x * x). [hyper(113,a,74,a(flip),b,3366,a),flip(a)]. 3428 (1 / x) \ (y * y) != z | x * (y * y) = z. [para(3366(a,1),533(a,1))]. 3429 T((x * x) * y,y) = x * (x * y). [hyper(58,a,2773,a,b,3367,a)]. 3430 (x * (x * y)) * y = y * ((x * x) * y). [para(3367(a,1),366(a,1,1))]. 3431 x * ((1 / y) * (1 / y)) = (x / y) * (1 / y). [para(74(a,1),3370(a,1,1,2)),flip(a)]. 3432 x \ y != (z * (u * u)) / u | x * (z / (u \ 1)) = y. [para(3370(a,1),538(a,2,1))]. 3433 x * ((y \ (y \ 1)) * (y \ (y \ 1))) = (x / (y * y)) * (y \ (y \ 1)). [para(3019(a,1),3370(a,1,1,2)),flip(a)]. 3434 T(x / (y * y),x) = (y * y) \ x. [hyper(58,a,3063,a,b,3372,a)]. 3435 ((x * x) \ y) \ 1 != z | y \ (x * x) = z. [para(3372(a,1),290(a,1,1))]. 3436 1 / (x * (x * y)) = (x * x) \ (1 / y). [para(3367(a,1),3372(a,1,2))]. 3437 (x * (y * y)) * x = x * ((y * y) * x). [hyper(114,a,3375,a(flip),b,693,a),flip(a)]. 3439 T((x * y) * y,x) = x * (y * y). [para(3252(a,2),3378(a,1,1))]. 3440 (x * (((1 / y) * x) * y)) / y = (1 / y) \ ((y \ x) * (y \ x)). [hyper(272,a,1162,a,b,3379,a)]. 3441 x \ ((x * (y * y)) * z) = ((y * y) * (z / x)) * x. [para(3379(a,1),666(a,1,2,1))]. 3442 (x * y) \ (y * y) = (x / y) \ 1. [para(3251(a,1),3380(a,1,1))]. 3443 a(T(x,x * y),z,u) = a(T(x \ 1,y) \ 1,z,u). [para(3388(a,1),2512(a,1,1,1)),flip(a)]. 3444 T(x \ 1,x \ y) \ z = (T(x,y) \ 1) \ z. [hyper(56,a,3389,a)]. 3445 T((x / y) \ 1,x) != z | 1 / (y \ x) = z. [para(3424(a,1),2810(a,1,1))]. 3446 ((x / y) \ 1) \ x = x * (y \ x). [para(3424(a,1),2996(a,1,1))]. 3447 T(x \ 1,y) \ 1 = (x \ y) \ y. [hyper(172,a,3426,a)]. 3448 1 / T(x,x \ y) = T(x \ 1,y). [hyper(58,a,267,a,b,3426,a)]. 3449 x \ ((y \ 1) \ x) = (y \ x) \ x. [hyper(31,a,3038,a(flip),b,3426,a)]. 3450 T(x \ 1,y * x) = 1 / T(x,y). [para(2249(a,2),3426(a,1,2)),flip(a)]. 3451 T(x \ 1,L(x,y,z)) = 1 / x. [para(2502(a,1),3426(a,1,2)),flip(a)]. 3452 T((x \ y) \ 1,y) = 1 / (y / x). [para(2826(a,1),3426(a,1,2)),flip(a)]. 3453 L(x,y,z) * (1 / x) = (x \ 1) * L(x,y,z). [hyper(114,a,3451,a(flip),b,17,a(flip))]. 3454 L(x,y,z) * (1 / x) != u | (x \ 1) * L(x,y,z) = u. [para(3451(a,1),248(a,1,2))]. 3455 ((x * x) / y) \ 1 = x \ (x \ y). [hyper(272,a,3009,a(flip),b,3427,a),flip(a)]. 3456 T(x \ y,x * y) = (x * x) \ (x * y). [para(2954(a,1),3434(a,1,1))]. 3457 T(x \ (x \ y),y) = (x * x) \ y. [para(3009(a,1),3434(a,1,1))]. 3458 ((x * y) * y) * (x \ 1) = y * y. [hyper(29,a,2843,a(flip),b,3439,a(flip))]. 3459 (x * ((x * y) * y)) * x = (x * x) * (x * (y * y)). [para(3439(a,1),1159(a,1,2)),flip(a)]. 3460 T(T(x * (y * y),z),x) = T((x * y) * y,z). [para(3439(a,1),2777(a,1,1,1))]. 3461 x \ ((y / x) \ 1) = x * ((y * x) \ 1). [hyper(112,a,3442,a(flip),b,3290,a)]. 3462 x * ((y \ x) \ x) = (y \ 1) \ x. [para(72(a,1),3446(a,1,1,1)),flip(a)]. 3463 ((1 / x) \ y) \ y = T(x,y) \ 1. [para(74(a,1),3447(a,1,1,1)),flip(a)]. 3464 ((x / y) \ y) \ y = (x \ y) \ 1. [para(2257(a,1),3447(a,1,1)),flip(a)]. 3465 T(x \ 1,x * y) = 1 / T(x,y). [para(4(a,1),3448(a,1,2,2)),flip(a)]. 3466 ((x \ y) \ 1) \ y = y * (y / x). [hyper(114,a,2826,a(flip),b,3449,a),flip(a)]. 3467 x * ((y \ x) \ x) != z | (y \ 1) \ x = z. [para(3449(a,1),230(a,1,2))]. 3469 T(1 / (x / y),x) = (y \ x) \ 1. [hyper(2782,a,3452,a)]. 3470 ((x \ y) * y) \ y = 1 / (y / x). [hyper(58,a,2258,a(flip),b,3452,a)]. 3471 x / (1 / (x / y)) = (y \ x) * x. [para(3452(a,1),2241(a,1,2))]. 3472 (1 / (x / y)) * x = x * ((y \ x) \ 1). [para(3452(a,1),2778(a,1,1))]. 3473 ((x * x) \ y) * y = y * (x \ (x \ y)). [hyper(114,a,3455,a(flip),b,2907,a),flip(a)]. 3474 ((x \ (1 / x)) / y) \ 1 = (x \ 1) \ ((x \ 1) \ y). [para(684(a,1),3455(a,1,1,1))]. 3475 (x \ (x \ y)) * y = y * ((x * x) \ y). [para(3455(a,1),2272(a,1,1))]. 3476 x \ (x \ T(x * x,y)) = K(y,x * x) \ 1. [para(2670(a,2),3455(a,1,1)),flip(a)]. 3477 K((x * x) / y,((x * x) / y) * z) = K(z,x \ (x \ y)). [para(3455(a,1),3397(a,1,2)),flip(a)]. 3478 ((x * x) * y) \ 1 = x \ (x \ (y \ 1)). [para(3375(a,1),3455(a,1,1))]. 3479 x \ ((y * ((x * z) * z)) / x) = (x \ y) * (z * z). [para(3458(a,1),1136(a,1,2)),flip(a)]. 3480 (x * (y / x)) * x = (x \ 1) \ y. [hyper(58,a,2268,a,b,3462,a)]. 3481 ((x \ 1) \ y) / x = x * (y / x). [hyper(113,a,3462,a(flip),b,2268,a)]. 3482 x / (T(y,x) \ 1) = (1 / y) \ x. [hyper(178,a,3463,a)]. 3483 (T(x,y) \ 1) \ y = y / (1 / x). [para(3463(a,1),2826(a,1,1))]. 3484 1 / T(T(x,y) \ 1,y) = ((1 / x) \ y) / y. [para(3463(a,1),2908(a,1,2,1))]. 3485 T(x,T(y,x \ 1)) \ 1 = (y * x) \ T(y,x \ 1). [para(2791(a,1),3463(a,1,1)),flip(a)]. 3486 x / ((y \ x) \ 1) = (y / x) \ x. [hyper(178,a,3464,a)]. 3487 R(x,(y / z) \ z,((y / z) \ z) \ z) = ((x * ((y / z) \ z)) * ((y \ z) \ 1)) / z. [para(3464(a,1),92(a,1,1,2)),flip(a)]. 3488 K(x \ 1,x * y) = x * (1 / T(x,y)). [hyper(114,a,3465,a(flip),b,2675,a),flip(a)]. 3489 T(L(x,y,z) \ x,(x \ L(x,y,z)) * u) = 1 / T(x \ L(x,y,z),u). [para(2538(a,1),3465(a,1,1))]. 3490 L((x \ y) * y,x \ y,x \ y) = y * (y / x). [hyper(2043,a,3466,a)]. 3491 x / (x * (x / y)) = (y \ x) \ 1. [hyper(178,a,3466,a)]. 3492 ((x \ y) \ y) \ 1 = T(1 / x,y). [para(72(a,1),3469(a,1,1,2)),flip(a)]. 3493 ((x \ y) \ 1) * (y \ 1) != z | y \ (1 / (y / x)) = z. [para(3469(a,1),690(a,1,1))]. 3494 T(1 / (x * (x / y)),x) = ((y / x) \ x) \ 1. [para(3322(a,1),3469(a,1,1,2))]. 3495 1 / (x / (x * y)) = (y \ x) \ x. [para(3299(a,1),3470(a,1,1)),flip(a)]. 3496 ((x \ y) \ y) * y = y / (1 / x). [para(72(a,1),3471(a,1,2,2)),flip(a)]. 3497 x * (x * ((1 / x) * y)) = (x \ 1) \ y. [hyper(58,a,1987,a,b,3480,a)]. 3498 (x * x) * (x \ y) = (x \ 1) \ y. [hyper(58,a,1161,a(flip),b,3480,a)]. 3499 x * ((x \ y) / x) = y * (1 / x). [hyper(30,a,2029,a(flip),b,3480,a),flip(a)]. 3500 ((1 / x) \ x) * y = x * ((x \ 1) \ y). [hyper(114,a,3480,a(flip),b,666,a),flip(a)]. 3501 x \ ((x \ 1) \ y) = x * ((1 / x) * y). [hyper(112,a,3480,a(flip),b,1987,a)]. 3502 (x \ 1) \ (y * x) = (x * y) * x. [para(6(a,1),3480(a,1,1,2)),flip(a)]. 3503 (x \ 1) \ (x * y) = (y * x) * x. [para(2806(a,1),3480(a,1,1)),flip(a)]. 3504 (x * x) * (x * (y / x)) = ((x \ 1) \ y) * x. [para(3480(a,1),3252(a,1,1)),flip(a)]. 3508 (1 / ((1 / x) \ y)) \ x = x / ((y * x) \ 1). [para(368(a,1),3482(a,1,2,1)),flip(a)]. 3509 (1 / T(x,y)) \ y = y / (x \ 1). [para(2765(a,1),3482(a,1,2,1)),flip(a)]. 3510 (1 / (x / y)) \ x = x / (x \ y). [para(3041(a,1),3482(a,1,2)),flip(a)]. 3511 x / (1 / T(y,x)) = (y \ 1) \ x. [para(2765(a,1),3483(a,1,1,1)),flip(a)]. 3512 (((1 / x) \ y) \ 1) \ x = x / (1 / (y * x)). [para(2773(a,1),3483(a,1,1,1))]. 3513 x \ (x / ((y \ x) \ 1)) = (x \ y) \ 1. [hyper(112,a,3486,a,b,3007,a)]. 3514 ((x * y) / (x * (y * z))) \ (x * (y * z)) = (x * (y * z)) / (L(z,y,x) \ 1). [para(13(a,2),3486(a,1,2,1)),flip(a)]. 3515 ((x / y) / x) \ x = x / (y \ 1). [para(74(a,1),3486(a,1,2,1)),flip(a)]. 3516 ((x \ y) \ 1) \ (((x \ y) \ z) * y) = (z * ((x / y) \ y)) * ((x \ y) \ 1). [para(3486(a,1),752(a,1,1,2)),flip(a)]. 3517 T(x,x \ y) \ 1 = T(1 / x,y). [hyper(571,a,3492,a)]. 3518 (x / (1 / y)) / x = (y \ x) \ x. [hyper(34,a,2909,a(flip),b,3492,a)]. 3519 ((x \ y) \ y) \ T(1 / ((x \ y) \ y),z) = T(1 / x,y) * T(((x \ y) \ y) \ 1,z). [para(3492(a,1),756(a,1,1)),flip(a)]. 3520 T(1 / x,y * x) = T(x,y) \ 1. [para(2249(a,2),3492(a,1,1)),flip(a)]. 3521 ((x \ 1) \ y) \ y = 1 / T(x,y). [para(3002(a,2),3495(a,1,2)),flip(a)]. 3522 T(x,x \ y) * y = y / (1 / x). [hyper(543,a,3496,a)]. 3523 (x \ 1) \ (x * y) = (x * x) * y. [hyper(507,a,3498,a),flip(a)]. 3524 (x * x) \ L(y,x,x) = x \ (x \ y). [hyper(112,a,2013,a(flip),b,3498,a)]. 3525 x \ ((x \ 1) * y) = (x * x) \ y. [hyper(112,a,4,a(flip),b,3498,a),flip(a)]. 3526 (x \ 1) * ((x * x) * y) = x * y. [hyper(799,a,3498,a(flip))]. 3527 x * ((x * x) \ y) = (x \ 1) * y. [hyper(504,a,3498,a(flip)),flip(a)]. 3529 (x * x) * (T(y,x) \ 1) = (x \ 1) \ (y \ x). [para(2999(a,2),3498(a,1,2))]. 3530 x \ (y * (1 / x)) = (x \ y) / x. [hyper(117,a,3499,a)]. 3531 (x \ (y * y)) / x = x \ ((y * y) / x). [hyper(112,a,3329,a(flip),b,3499,a),flip(a)]. 3532 (x \ (x \ 1)) / x = x \ (x \ (x \ 1)). [hyper(112,a,3034,a(flip),b,3499,a),flip(a)]. 3533 (x \ 1) / x = x \ (1 / x). [hyper(112,a,2,a(flip),b,3499,a),flip(a)]. 3534 (x * (1 / y)) / y = y \ (y \ x). [hyper(113,a,3499,a(flip),b,2828,a)]. 3535 (x * y) * (1 / x) = x * (y / x). [para(4(a,1),3499(a,1,2,1)),flip(a)]. 3536 x \ (y * (1 / x)) != z | (x \ y) / x = z. [para(3499(a,1),287(a,1,2))]. 3537 x * ((1 / x) * (y / x)) = y * (1 / x). [para(376(a,2),3499(a,1,2))]. 3538 (x * (y * z)) * (1 / z) = z * (((1 / z) * x) * y). [para(749(a,1),3499(a,1,2)),flip(a)]. 3539 T(x,y * (1 / x)) = T(x,x \ y). [para(3499(a,1),2318(a,1,2))]. 3540 x * ((T(y,x) \ 1) / x) = (y \ x) * (1 / x). [para(2999(a,2),3499(a,1,2,1))]. 3541 (x \ 1) * (y * x) = x * (y / x). [hyper(537,a,3503,a)]. 3542 x * ((y / x) / x) = (x \ 1) * y. [hyper(536,a,3503,a),flip(a)]. 3543 ((x * y) * R(z,x,y)) * R(z,x,y) = (R(z,x,y) \ 1) \ ((z * x) * y). [para(93(a,1),3503(a,1,2)),flip(a)]. 3544 (x * x) * ((y * x) * x) = x * (x * (x * (x * y))). [para(3503(a,1),2011(a,1,2))]. 3546 x / (1 / (y * T(x,x \ 1))) = (((x \ 1) \ y) \ 1) \ x. [para(1991(a,1),3511(a,1,2,2))]. 3547 x / T(y \ 1,x * y) = (y \ 1) \ x. [para(3450(a,2),3511(a,1,2))]. 3548 (x \ (x / y)) \ 1 = x \ (x / (y \ 1)). [hyper(112,a,3515,a(flip),b,3007,a),flip(a)]. 3549 x \ K(x,x \ y) = T(1 / x,y). [hyper(58,a,2656,a(flip),b,3517,a)]. 3550 (x \ y) * T(1 / x,y) = x \ (x \ y). [hyper(114,a,3517,a(flip),b,2999,a(flip))]. 3551 x * T(1 / x,y) = K(x,x \ y). [hyper(114,a,3517,a(flip),b,2656,a(flip))]. 3552 T(x \ (x / (1 / y)),x) = (y \ x) \ x. [hyper(3089,a,3518,a)]. 3553 ((x \ y) \ y) * y != z | y / (1 / x) = z. [para(3518(a,1),227(a,1,1))]. 3554 ((x \ 1) \ 1) \ y = y * (1 / T(x,y)). [hyper(114,a,3521,a(flip),b,3449,a),flip(a)]. 3555 L(x,y,((z \ 1) \ u) \ u) = L(x,y,T(z,u) \ 1). [para(3521(a,2),2449(a,1,3))]. 3556 (x \ 1) * (x * y) = x * ((1 / x) * y). [hyper(114,a,3352,a(flip),b,3523,a)]. 3557 x \ y != (z \ 1) * ((z * z) * u) | x * (z * u) = y. [para(3523(a,1),286(a,2,2))]. 3558 T(1 / ((x * x) * y),x \ 1) = (x \ 1) / (x * y). [para(3523(a,1),3030(a,1,1,2))]. 3559 L((x * x) * y,x,x) = x * (x * y). [para(3523(a,1),2967(a,1,1))]. 3560 (x * x) \ y != x \ z | (x \ 1) * y = z. [para(3525(a,1),42(a,1))]. 3561 (x * x) \ (x \ 1) = x \ (x \ (1 / x)). [para(684(a,1),3525(a,1,2)),flip(a)]. 3562 (x * x) \ (1 / x) = x \ (x \ (x \ 1)). [para(3034(a,1),3525(a,1,2)),flip(a)]. 3563 (x * x) \ (y * y) = x \ (x \ (y * y)). [para(3366(a,1),3525(a,1,2)),flip(a)]. 3564 (x \ 1) * y != x * z | (x * x) * z = y. [para(3526(a,1),38(a,1)),flip(a)]. 3565 x \ ((x \ 1) * y) != z | (x * x) \ y = z. [para(3527(a,1),287(a,1,2))]. 3568 T(1 / T(x,y * (1 / x)),y * (1 / x)) = (y * (1 / x)) \ (x \ (x \ y)). [hyper(359,a,3534,a(flip),b,2793,a)]. 3569 x \ (y / (1 / x)) = x * (y / x). [hyper(114,a,139,a(flip),b,3534,a(flip)),flip(a)]. 3570 (x \ (y * (z * (1 / x)))) / x = ((1 / x) * y) * (x \ (x \ z)). [hyper(114,a,3534,a(flip),b,775,a),flip(a)]. 3571 (x * x) \ (y * (1 / x)) = (x \ (x \ y)) / x. [hyper(113,a,3534,a(flip),b,3250,a),flip(a)]. 3573 x * (x / (y * (1 / x))) = x / (x \ (x \ y)). [para(3534(a,1),3322(a,1,2)),flip(a)]. 3574 (x * y) / (1 / y) = y * (y * x). [hyper(113,a,2806,a(flip),b,3535,a)]. 3575 (1 / x) * (y / (1 / x)) = x * (y * (1 / x)). [hyper(533,a,3541,a),flip(a)]. 3576 (x \ 1) * (x * T(y,x)) = x * (y / x). [para(98(a,2),3541(a,1,2))]. 3577 (x * (y / x)) * L(z,y * x,x \ 1) = (x \ 1) * ((y * x) * z). [para(3541(a,1),87(a,1,1))]. 3579 x * (a(x \ 1,y,z) / x) = (x \ 1) * L(x,z,y). [para(2505(a,2),3541(a,1,2)),flip(a)]. 3580 (x \ 1) * ((x * y) * y) = x * ((y * y) / x). [para(3252(a,2),3541(a,1,2))]. 3581 ((x * (y \ 1)) / y) / y = y \ (y \ (x / y)). [hyper(112,a,1137,a(flip),b,3542,a),flip(a)]. 3582 ((x \ 1) * y) / x = x \ (y / x). [hyper(113,a,3542,a(flip),b,2828,a)]. 3583 (x \ 1) * (y * (1 / x)) = x * ((x \ (x \ y)) / x). [para(3534(a,1),3542(a,1,2,1)),flip(a)]. 3584 x * T(1 / x,y) != z | K(x,x \ y) = z. [para(3549(a,1),230(a,1,2))]. 3585 (x \ 1) \ K(x,x \ y) = (x * x) * T(1 / x,y). [para(3549(a,1),3498(a,1,2)),flip(a)]. 3586 x * (x * (y / x)) = y / (1 / x). [hyper(127,a,3569,a)]. 3587 x * ((x * y) * (1 / x)) = y / (1 / x). [hyper(114,a,3535,a,b,3569,a)]. 3588 (x \ y) / (1 / x) = x * (y * (1 / x)). [hyper(114,a,3499,a(flip),b,3569,a),flip(a)]. 3589 (x * y) / (1 / x) = x * (y * x). [hyper(114,a,2806,a(flip),b,3569,a),flip(a)]. 3590 (x \ 1) * (y / (x \ 1)) = (x \ 1) \ (y / x). [para(72(a,1),3569(a,1,2,2)),flip(a)]. 3591 x * (x * (y / x)) != z | y / (1 / x) = z. [para(3569(a,1),230(a,1,2))]. 3592 (x \ 1) * ((x \ 1) * y) = (y * (x \ 1)) / x. [para(72(a,1),3574(a,1,2)),flip(a)]. 3594 ((x \ (y \ x)) * z) / T(y,x) = T(y,x) \ (z / T(y,x)). [para(2999(a,1),3582(a,1,1,1))]. 3595 K(x,y) * T(y,y * x) = L(y,x,y). [hyper(1911,a,2728,a)]. 3596 K(x,x * y) * K(y,x) = x \ L(x,y,x). [para(2728(a,2),3174(a,1,2))]. 3597 L(T(x,y \ 1),y,y) != z | T(x,y) = z. [para(2001(a,1),2856(a,1))]. 3598 T(T(x * y,y),x) != z | ((1 / y) / x) \ 1 = z. [para(2773(a,2),2863(a,1,1))]. 3602 x * (y * y) != z | T((x * y) * y,x) = z. [para(3458(a,1),2938(a,1,2))]. 3603 ((((1 / x) * y) * z) * x) * x != u | x * ((y * (z * x)) / x) = u. [para(664(a,2),2947(a,1,1))]. 3607 x \ y != z | T(y,x) * (x \ 1) = z. [para(2765(a,1),2979(a,1,2))]. 3608 x \ (y / x) != z | (x \ y) * (x \ 1) = z. [para(2775(a,1),2979(a,1,2))]. 3614 x * (y \ (1 / y)) != z | (y \ 1) * ((y \ 1) * x) = z. [para(684(a,1),3013(a,1,2))]. 3617 (T(x,y) \ 1) \ x != z | x * T(x,y) = z. [para(1867(a,1),3072(a,1,1))]. 3618 T(1 / x,y) != z | y / (y * x) = z. [para(4(a,1),3083(a,1,1,2))]. 3619 L(T(x,y),y \ 1,y) = T(x,1 / y). [hyper(272,a,1967,a,b,3117,a),flip(a)]. 3620 T(x,y) * K(x * y,x) = R(x,y,x). [hyper(1890,a,3177,a)]. 3621 K(x \ 1,y) != z | K(x,x * y) = z. [para(3390(a,2),3190(a,1))]. 3622 K(x,y \ 1) != z | K(y,y * x) = z. [para(3391(a,2),3190(a,1))]. 3627 (x * x) \ y != z | (y / x) / x = z. [para(7(a,1),3273(a,1,2))]. 3628 (x \ 1) \ (x * y) != z | (y * x) * x = z. [para(3523(a,2),3291(a,1))]. 3629 (1 / x) * (1 / x) != y | x \ (1 / x) = y. [para(148(a,1),3319(a,1,1))]. 3632 (x * y) \ x != z | (y \ x) / x = z. [para(72(a,1),3326(a,1,1,2))]. 3633 (x * x) \ ((x * x) \ y) = x \ (x \ (x \ (x \ y))). [para(254(a,1),3524(a,1,2))]. 3634 (x * x) \ (y / (x * x)) = x \ (x \ ((x * x) \ y)). [para(2963(a,1),3524(a,1,2))]. 3635 L((x * x) * y,x,x) = y * (x * x). [hyper(272,a,2956,a,b,3559,a),flip(a)]. 3636 (1 / x) \ ((x * x) * y) = x * (x * (x * y)). [hyper(114,a,3559,a(flip),b,1998,a),flip(a)]. 3638 K(x,y) * K(x * y,x) = x \ R(x,y,x). [hyper(112,a,3620,a(flip),b,2687,a),flip(a)]. 3639 T(x,y) * K(x,x * y) = R(x,y,x). [para(28(a,1),3620(a,1,2))]. 3640 T(x,y) * K(x,y * x) = R(x,y,x). [para(3189(a,2),3639(a,1,2))]. 3641 K((1 / x) \ y,y) = K(y * x,y). [hyper(272,a,2648,a,b,2680,a),flip(a)]. 3642 K(x * (y \ 1),x) = K(y \ x,x). [para(72(a,1),3641(a,1,1,1)),flip(a)]. 3643 (x * x) * T(1 / x,y) = x * K(y,x \ 1). [hyper(114,a,2689,a(flip),b,3353,a)]. 3644 T(x,y * K(z,z \ 1)) = T(x,y). [hyper(2736,a,2733,a)]. 3645 T(x,K(y \ 1,y) * z) = T(x,z). [para(1811(a,1),3644(a,1,2)),flip(a)]. 3646 T(x,(1 / y) * z) = T(x,(y \ 1) * z). [para(1948(a,1),3644(a,1,2))]. 3647 T(x,y * (z * K(u,u \ 1))) = T(x,y * z). [para(2115(a,1),3644(a,1,2))]. 3648 T(x,((y \ 1) \ 1) \ z) = T(x,y \ z). [para(1957(a,1),3645(a,1,2))]. 3650 L(x,y,z) * K(u,L(x,y,z)) = L(x * K(u,x),y,z). [hyper(2761,a,2759,a)]. 3651 T(x * ((y \ 1) \ 1),y) = (y \ 1) \ x. [para(99(a,1),2769(a,1,1,2))]. 3652 (x * ((x \ y) * z)) / y = L(T(z,y),x \ y,x). [hyper(113,a,363,a(flip),b,2787,a)]. 3653 (x \ y) \ ((x \ y) \ y) = (y / x) \ x. [hyper(58,a,265,a(flip),b,2837,a)]. 3654 L(x * (1 / y),y,y) = (y \ 1) * T(x,y). [hyper(2038,a,2841,a)]. 3655 (x \ 1) * T((y / (1 / x)) \ 1,x) = x \ (y \ (1 / x)). [para(2271(a,1),2841(a,1,2)),flip(a)]. 3656 (x * (y * ((1 / x) * z))) * x = (x * y) * (x * (z / x)). [hyper(114,a,2844,a(flip),b,1165,a),flip(a)]. 3658 R(x,y,K(z,y)) = x. [hyper(453,a,2855,a)]. 3659 (x * y) * K(z,y) = x * T(y,z). [para(2652(a,2),2855(a,2,2))]. 3660 (x * y) * K(z,y) = x * ((z * y) / z). [para(2684(a,2),2855(a,2,2))]. 3661 (x * (y \ z)) * K(y,y \ z) = x * (z / y). [para(2747(a,1),2855(a,2,2))]. 3662 x * T(x \ y,z) = y * K(z,x \ y). [hyper(485,a,3659,a),flip(a)]. 3663 (x / y) * T(y,z) = x * K(z,y). [hyper(278,a,3659,a),flip(a)]. 3664 (x * y) * K(y,z) = x * T(y,z). [para(28(a,1),3659(a,1,2))]. 3666 L(x,y,z) * K(u,a(1 / x,z,y)) = x * T(a(1 / x,z,y),u). [para(2520(a,2),3659(a,1,1))]. 3668 (x / y) * T(y,z) = x * K(y,z). [para(28(a,1),3663(a,2,2))]. 3671 x * T(x \ y,z) = y * K(x \ y,z). [hyper(485,a,3664,a),flip(a)]. 3672 K(x,y) \ (z * T(x,y)) = T(z * x,K(x,y)). [hyper(359,a,xx,b,3664,a),flip(a)]. 3674 (x * y) \ (x * T(y,z)) = K(y,z). [hyper(117,a,3664,a)]. 3675 x \ (y * T(y \ x,z)) = K(y \ x,z). [hyper(112,a,3664,a(flip),b,136,a(flip))]. 3676 (x * (y * z)) \ (x * (y * T(z,u))) = L(K(z,u),y * z,x). [para(3664(a,1),13(a,2,2,2)),flip(a)]. 3679 ((x * y) * z) * K(y * z,u) = R(x,y,z) * T(y * z,u). [para(93(a,1),3664(a,1,1))]. 3681 R(x * y,K(y,x),K(x,z)) \ (y * T(x,z)) = K(y,x) * K(x,z). [para(3664(a,1),468(a,1,2))]. 3682 ((x * y) * T(z,u)) / ((y * z) * K(z,u)) = R(R(x,y,z),y * z,K(z,u)). [para(3664(a,1),449(a,1,1))]. 3683 ((x / y) * L(y,z,u)) * T(y,w) = (x * L(y,z,u)) * K(y,w). [para(1382(a,1),3664(a,1,1)),flip(a)]. 3685 T(x,y \ 1) * T(y,z) = ((1 / y) \ x) * K(y,z). [para(1972(a,1),3664(a,1,1)),flip(a)]. 3686 (x / (y \ 1)) * T(y,z) = (x * (y * y)) * K(y,z). [para(3370(a,1),3664(a,1,1)),flip(a)]. 3687 (K(x,y) * z) / T(x,y) = T(z,K(x,y)) / x. [hyper(113,a,2778,a(flip),b,3668,a)]. 3688 (x * T(y,z)) / y = x * K(y,z). [hyper(58,a,1239,a,b,3668,a)]. 3690 (x * K(y,z)) \ (x * T(y,z)) = y. [para(3668(a,1),1240(a,1,1))]. 3691 ((x / y) * L(y,z,u)) * T(y,w) = (x * K(y,w)) * L(y,z,u). [para(3668(a,1),1406(a,1,1)),flip(a)]. 3692 (x * y) * K(y,z) != u | x * T(y,z) = u. [para(3674(a,1),230(a,1,2))]. 3693 (x * (y * z)) \ ((x * y) * T(L(z,y,x),u)) = K(L(z,y,x),u). [para(87(a,1),3674(a,1,1))]. 3695 x \ (x \ (y * T(x * x,z))) = y * K(x * x,z). [hyper(3062,a,3688,a)]. 3696 (x / y) * T((x / y) \ x,z) = x * K(y,z). [hyper(1340,a,3688,a)]. 3697 (x / T(y,z)) * K(y,z) = x / y. [hyper(501,a,3688,a),flip(a)]. 3698 (x / K(y,z)) * T(y,z) = x * y. [hyper(277,a,3688,a),flip(a)]. 3699 (x * K(y,z)) * y = x * T(y,z). [hyper(125,a,3688,a)]. 3700 T(x * K(y,z),y) = y \ (x * T(y,z)). [para(3688(a,1),100(a,1,1))]. 3701 (x * K(y,z)) * y != u | x * T(y,z) = u. [para(3688(a,1),227(a,1,1))]. 3702 (x * ((y \ z) \ z)) / y = x * K(y,y \ z). [para(99(a,1),3688(a,1,1,2))]. 3703 T(x,T(y,z)) * K(y,z) = (T(y,z) * x) / y. [para(2778(a,1),3688(a,1,1)),flip(a)]. 3704 (x * T(y,z)) / (x * K(y,z)) = T(y,x * K(y,z)). [para(3690(a,1),2775(a,1,1)),flip(a)]. 3706 (x / (y \ z)) * K(z / y,y) = x / (z / y). [para(100(a,1),3697(a,1,1,2))]. 3711 (x * K(y,z)) * z = x * T(z,y). [para(28(a,1),3699(a,1,1,2))]. 3714 (x * (y * K(z,y))) * z = (x * y) * T(z,y). [para(2855(a,1),3699(a,1,1))]. 3715 ((x / y) * K(z,y)) * y = x * K(z,y). [hyper(272,a,3663,a(flip),b,3711,a),flip(a)]. 3717 (K(x,y) * z) * K(y,x) = T(z,K(x,y)). [para(28(a,1),2886(a,2,2))]. 3719 L(x * K(y,x),z,u) * T(y,x) = T(y,x) * L(x,z,u). [para(2895(a,1),551(a,1,1,1))]. 3721 ((T(x,y) \ 1) \ 1) \ y = y * (1 / x). [para(2902(a,1),2996(a,1,1))]. 3722 T(x * y,y) \ (((1 / y) \ x) * z) = z. [hyper(117,a,2919,a)]. 3723 ((x \ T(y,x)) / x) / x = x \ (x \ (y / x)). [hyper(112,a,2932,a(flip),b,3542,a),flip(a)]. 3724 (x / ((y \ 1) \ 1)) * x = (x * x) * (T(y,x) \ 1). [para(2943(a,2),3252(a,1,1))]. 3725 x * ((y / x) * (y / x)) = T(y * (x \ y),x). [para(2951(a,1),3439(a,1,1)),flip(a)]. 3727 (x \ y) * T(x,x \ 1) = T(y,x \ 1). [hyper(541,a,2975,a)]. 3728 T(K(x,y) * z,K(y,x)) = z * K(x,y). [hyper(215,a,2886,a,b,2981,a)]. 3729 K(x,y) \ K(x,z) = K(x,z) * K(y,x). [hyper(112,a,1494,a(flip),b,2981,a)]. 3730 T(x,y) * (z * K(x,y)) = x * T(z,K(x,y)). [hyper(114,a,2982,a(flip),b,2748,a),flip(a)]. 3731 (((x \ 1) * y) \ y) \ y = y * (1 / x). [hyper(58,a,2280,a(flip),b,2995,a)]. 3732 (((x * (y \ 1)) * z) \ (x * (y \ 1))) * (T(y,x) \ x) = z \ (x * (y \ 1)). [hyper(272,a,3299,a(flip),b,2998,a),flip(a)]. 3733 ((1 / x) \ y) \ 1 = (y \ 1) * (x \ 1). [hyper(29,a,2976,a,b,3004,a),flip(a)]. 3734 T(T(x,y \ 1) \ 1,y) = y * ((x * y) \ 1). [hyper(2286,a,3008,a)]. 3735 1 / T(x * y,x) = (1 / x) * (1 / y). [hyper(379,a,3036,a),flip(a)]. 3737 ((x \ y) \ y) / y = 1 / (1 / (y \ x)). [para(2898(a,1),3068(a,1,1))]. 3738 (1 / ((x \ y) \ y)) \ (T(1 / x,y) \ z) = ((x \ y) \ y) * (((x \ y) \ y) * z). [para(3492(a,1),3107(a,1,2,1))]. 3740 (((x \ 1) * y) * (z * x)) / x = (1 / x) \ ((x \ (x \ y)) * z). [para(3116(a,1),1073(a,1,2,1)),flip(a)]. 3743 x * ((x \ 1) * (y / x)) = y * (x \ 1). [hyper(272,a,2789,a(flip),b,3126,a),flip(a)]. 3744 (x * (y \ 1)) * (1 / y) = (y * y) \ x. [hyper(272,a,3249,a(flip),b,3133,a),flip(a)]. 3745 (1 / x) \ (y / (1 / x)) != z | x * (y * x) = z. [para(3138(a,1),287(a,1,2))]. 3746 x * (((x \ 1) \ y) * x) != z | (x * (x * y)) * x = z. [para(3144(a,1),248(a,1,2))]. 3747 T(x * (x * (x * y)),x) = ((x * x) * y) * x. [para(3523(a,1),3144(a,2,1))]. 3748 x / (1 / y) != z | (1 / y) * (y * (x * y)) = z. [para(2966(a,1),3147(a,1))]. 3749 T(x,y) * (T(x,y) * z) = x * (x * z). [hyper(272,a,2956,a(flip),b,3159,a),flip(a)]. 3751 T(x,y) * (T(x,y) * z) != u | x * (x * z) = u. [para(3159(a,2),3013(a,1))]. 3752 (x * T(x \ y,z)) / y = K(y / x,z). [hyper(122,a,3175,a)]. 3753 (x * (y * T(y \ (x \ z),u))) / z = K(z / (x * y),u). [hyper(113,a,785,a(flip),b,3175,a)]. 3754 (x * (y * T(y \ z,u))) / (x * z) = K((x * z) / (x * y),u). [hyper(113,a,784,a(flip),b,3175,a)]. 3758 K(x,y) * (R(y,z,u) * x) = R(y,z,u) * T(x,y). [hyper(272,a,2353,a(flip),b,3176,a),flip(a)]. 3759 x * (K(y,x) * (x \ z)) = K(y,x) * z. [hyper(288,a,3182,a),flip(a)]. 3760 (x * y) \ (y * (K(x,y) * (x * z))) = L(L(z,x,y),y * x,K(x,y)). [para(3182(a,1),2564(a,1,2))]. 3762 K(x,x \ y) * y = x * (y / x). [para(2827(a,1),3197(a,1,2)),flip(a)]. 3763 K(x,y) * T(x,z) = K(x,z) * T(x,y). [hyper(272,a,1898,a(flip),b,3204,a)]. 3765 x / T(y,y \ 1) = (y \ 1) * T(x,y). [hyper(58,a,267,a,b,3227,a)]. 3766 ((x \ 1) \ 1) * T(y,x \ 1) = y / (1 / x). [para(2826(a,1),3227(a,1,2)),flip(a)]. 3767 T(x * y,y) / x = T(T(y,y * x),x). [para(2315(a,1),3234(a,2,1))]. 3768 ((x * y) * y) * (z * (((y * y) * x) \ 1)) = T(z,(y * y) * x). [hyper(272,a,2843,a,b,3257,a),flip(a)]. 3769 T(x \ (y * y),y) = (x / y) \ y. [para(3381(a,1),3266(a,1,1))]. 3770 T((x / y) \ y,y) = x \ (y * y). [hyper(2782,a,3769,a)]. 3771 ((x / y) \ y) * y = y * (x \ (y * y)). [para(3769(a,1),2778(a,1,1))]. 3772 x * ((y \ (x * x)) \ 1) = ((y / x) \ x) \ x. [para(3769(a,1),2935(a,1,1)),flip(a)]. 3773 T(x * (y \ x),x) = (T(y,x) / x) \ x. [para(3369(a,1),3769(a,1,1))]. 3774 ((x * x) * y) * y = x * (y * (y * x)). [para(2956(a,1),3279(a,2,2))]. 3775 x * (y * ((z * u) * u)) = x * (y * ((u * u) * z)). [hyper(114,a,3280,a,b,4,a)]. 3776 (x * ((y * z) * z)) / u = (x * ((z * z) * y)) / u. [hyper(113,a,3280,a,b,7,a)]. 3777 (x * y) * T(x,y) = (x * x) * y. [hyper(486,a,3288,a)]. 3778 (x * T(y,z)) * T(y,z) = (x * y) * y. [hyper(272,a,3252,a,b,3288,a),flip(a)]. 3779 (x / y) * T(x,y) = (x * x) * (1 / y). [para(2780(a,1),3288(a,1,1))]. 3780 (x * T(y,z)) * T(y,z) != u | (x * y) * y = u. [para(3288(a,2),3291(a,1))]. 3781 ((x * x) * y) / (x * y) = T(T(x,y),x * y). [hyper(113,a,3777,a(flip),b,2778,a)]. 3782 (x * x) \ (x / y) = (1 / y) / T(x,y). [para(2780(a,1),3293(a,1,2))]. 3783 (x \ y) * ((y * x) \ y) = (x \ y) / x. [hyper(114,a,3308,a(flip),b,3306,a)]. 3784 (x * (x * y)) \ x = (x * x) \ (y \ x). [hyper(3312,a,3310,a)]. 3785 x / ((x * x) * y) = x \ (x \ (x / y)). [para(3305(a,1),3318(a,2,2))]. 3786 T(x,x \ 1) * (y / x) = T(y,x \ 1). [hyper(543,a,3351,a)]. 3787 (x \ (1 / x)) * y = (x \ 1) * (x \ y). [hyper(29,a,1153,a,b,3364,a),flip(a)]. 3788 1 / T(x,y * y) = L(1 / x,y,y). [hyper(272,a,2952,a(flip),b,3371,a),flip(a)]. 3789 T(1 / x,y * y) = 1 / L(x,y,y). [para(2952(a,1),3371(a,1,2)),flip(a)]. 3790 L(1 / x,y,y) = 1 / L(x,y,y). [para(2952(a,1),3788(a,1,2)),flip(a)]. 3791 x * (1 / L(y,x,x)) = (1 / x) \ (1 / y). [hyper(114,a,3790,a(flip),b,1998,a)]. 3792 (1 / L(x,y,y)) / y = (1 / x) * (1 / y). [hyper(113,a,3790,a(flip),b,2006,a)]. 3793 x \ (1 / L(y,x,x)) = (x \ 1) * (1 / y). [hyper(112,a,3790,a(flip),b,3109,a)]. 3794 (x * x) \ (1 / L(y,x,x)) = x \ (x \ (1 / y)). [para(3790(a,1),3524(a,1,2))]. 3795 x * (1 / L(x,y,y)) = K(x,x \ (y * y)). [hyper(114,a,3789,a(flip),b,3549,a)]. 3796 T(x,x * (y * y)) = L(x,y,y). [hyper(31,a,3336,a,b,3789,a(flip))]. 3797 T(x \ 1,y * y) = L(x,y,y) \ 1. [para(3796(a,1),3388(a,1,1)),flip(a)]. 3798 L(x \ 1,y,y) = L(x,y,y) \ 1. [hyper(58,a,2952,a(flip),b,3797,a)]. 3799 (x \ (y * y)) \ (y * y) = (L(x,y,y) \ 1) \ 1. [para(3797(a,1),3447(a,1,1)),flip(a)]. 3800 x * (L(y,x,x) \ 1) = T((y \ 1) * x,x). [hyper(114,a,3798,a(flip),b,2918,a)]. 3801 x * (L(y,x,x) \ 1) = (1 / x) \ (y \ 1). [hyper(114,a,3798,a(flip),b,1998,a)]. 3802 x * (L(x,y,y) \ 1) = a(x,y,y). [hyper(114,a,3798,a(flip),b,1184,a(flip))]. 3803 L(T(x \ 1,y),z,z) = T(L(x,z,z) \ 1,y). [para(3798(a,1),20(a,2,1))]. 3804 L(L(L(x,y,y) \ 1,z,u),y,y) = L(x \ 1,z,u). [para(3798(a,1),2968(a,1,1,1))]. 3805 L(x,y,y) \ x = a(x,y,y). [hyper(708,a,3802,a)]. 3806 a(1 / x,x,y) = a(y,x,x). [hyper(58,a,3139,a,b,3805,a)]. 3807 a(x,y,y) * L(x,y,y) = x. [para(3805(a,1),2493(a,1,1))]. 3808 x * a(y,x,x) = L(x,y,x). [para(3806(a,1),2520(a,2,2)),flip(a)]. 3809 a(x,y,y) * y = L(y,x,y). [para(3806(a,1),2522(a,2,1)),flip(a)]. 3810 x * L(y,z,z) != y | a(y,z,z) = x. [para(3807(a,1),39(a,1)),flip(a)]. 3811 (x * (((y \ x) \ 1) * y)) / y = L(y,y \ x,y). [hyper(58,a,2047,a,b,3808,a)]. 3812 L(x,y,x) != z * x | a(y,x,x) = z. [para(3809(a,1),39(a,1))]. 3813 ((x * (x * T(y,z))) * K(y,z)) * y = T(y,z) * ((x * x) * T(y,z)). [hyper(58,a,3699,a,b,3430,a)]. 3814 ((x * x) \ (1 / y)) * ((x * (x * y)) * z) = L(z,x * (x * y),x * (x * y)). [para(3436(a,1),3118(a,1,1))]. 3815 T(x \ y,x * y) = (1 / x) * y. [hyper(272,a,3353,a(flip),b,3456,a),flip(a)]. 3816 (x \ y) * (y \ 1) = y * ((x * y) \ 1). [hyper(58,a,2276,a(flip),b,3461,a)]. 3817 (1 / (T(x,y \ 1) / (1 / y))) * T(x,y \ 1) = T(x,y \ 1) * ((x * y) \ 1). [para(2791(a,1),3472(a,2,2,1))]. 3818 ((x * y) * y) \ 1 = y \ (y \ (x \ 1)). [hyper(58,a,3281,a,b,3478,a)]. 3819 K(x \ 1,x * (y * x)) = x * T(1 / x,y). [para(3077(a,1),3488(a,2,2))]. 3820 (x \ 1) \ ((1 / x) \ y) = x * (x * y). [para(5(a,1),3497(a,1,2,2)),flip(a)]. 3821 ((1 / x) \ x) \ y = (x \ 1) * (x \ y). [hyper(112,a,67,a(flip),b,3500,a)]. 3822 x * (y * ((y \ 1) \ (x \ 1))) = T((1 / y) \ y,x). [hyper(114,a,3500,a(flip),b,2789,a)]. 3825 (x * y) \ ((x * y) / (y \ 1)) = ((x * y) \ x) \ 1. [para(4(a,1),3513(a,1,2,2,1))]. 3826 x \ (((y * x) * (y * x)) / x) = ((1 / x) * (y * x)) * y. [hyper(750,a,3531,a),flip(a)]. 3827 (1 / x) * ((y * y) / x) = x \ ((y * y) / x). [hyper(526,a,3531,a)]. 3828 ((x / y) / y) / (y \ 1) = x * (1 / y). [hyper(58,a,1983,a,b,3537,a)]. 3829 (x \ 1) \ (y / x) = x * (y * (1 / x)). [hyper(114,a,3537,a(flip),b,3501,a),flip(a)]. 3830 (1 / x) * (y * (1 / x)) = x \ (y / x). [hyper(114,a,3537,a(flip),b,3122,a)]. 3832 ((x * y) \ x) \ 1 = x \ (x / (1 / y)). [hyper(35,a,3314,a,b,3552,a)]. 3833 (((x \ y) \ 1) \ 1) \ y = y * (x / y). [para(2908(a,1),3554(a,2,2))]. 3834 (1 / x) * ((1 / (1 / x)) * y) = x * ((1 / x) * y). [hyper(533,a,3556,a),flip(a)]. 3835 (x \ 1) \ (y * (1 / x)) = x * (y / x). [hyper(112,a,3537,a(flip),b,3556,a)]. 3836 (x * ((1 / x) * y)) \ ((x \ 1) * (x * (y * z))) = L(L(z,y,x),x * y,x \ 1). [para(3556(a,1),427(a,1,1))]. 3837 (x * (y * (1 / x))) \ (x \ y) = 1 / x. [hyper(172,a,3588,a)]. 3838 (x * (y * (1 / x))) / (x \ y) = 1 / T(1 / x,x \ y). [hyper(113,a,3588,a(flip),b,2793,a)]. 3839 T(x * (1 / y),y \ 1) = ((y \ 1) \ 1) \ x. [para(2826(a,1),3651(a,1,1,2))]. 3840 x * K(y,z \ x) = z * ((y * (z \ x)) / y). [hyper(485,a,3660,a)]. 3843 x * K((y * z) \ x,y) = z * ((y \ (z \ x)) * y). [hyper(2363,a,3671,a),flip(a)]. 3844 x \ T(x * y,z) = y * K((x \ 1) \ y,z). [hyper(58,a,805,a(flip),b,3671,a)]. 3845 T(K(x / y,z),x) = K(y \ x,z). [hyper(215,a,3175,a,b,3671,a(flip))]. 3846 x \ (((y \ (x * z)) * y) / z) = K((y / z) \ x,y). [hyper(112,a,1338,a(flip),b,3671,a(flip))]. 3847 x \ (y \ ((z \ (y * x)) * z)) = K((y \ z) \ x,z). [hyper(112,a,1286,a(flip),b,3671,a(flip))]. 3848 x \ (y * (z * T(z \ (y \ x),u))) = K((y * z) \ x,u). [hyper(112,a,785,a(flip),b,3671,a(flip))]. 3849 x \ (y * T(y \ x,z)) != u | K(y \ x,z) = u. [para(3671(a,2),287(a,1,2))]. 3850 K(x / y,x) = K(y \ x,x). [hyper(2820,a,3845,a)]. 3851 K((x \ y) \ y,z) = T(K(x,z),y). [para(72(a,1),3845(a,1,1,1)),flip(a)]. 3852 K((x \ y) \ y,y) = K(x,y). [para(72(a,1),3850(a,1,1)),flip(a)]. 3853 K(T(x,x \ y),z) = T(K(x,z),y). [para(99(a,2),3851(a,1,1))]. 3854 T(K(x,y),x * z) = K(T(x,z),y). [para(4(a,1),3853(a,1,1,2)),flip(a)]. 3855 (x / y) * K(x,y) = T(x,y) / y. [hyper(113,a,2674,a,b,3715,a),flip(a)]. 3857 x * (K(y,x) * K(y * x,y)) = T(y * x,y) / y. [hyper(58,a,3156,a(flip),b,3855,a)]. 3858 T(x,K(y,z)) = T(x,K(z,y)). [hyper(58,a,2886,a(flip),b,3717,a)]. 3860 K(K(x,y),z) * z = T(z,K(y,x)). [hyper(2716,a,3858,a)]. 3861 K(x,y) \ (z * K(x,y)) = T(z,K(y,x)). [hyper(583,a,3858,a)]. 3862 K(x,y) * T(z,K(y,x)) = z * K(x,y). [hyper(114,a,3858,a,b,17,a(flip))]. 3863 x \ T(x,K(y,z)) = K(K(z,y),x). [hyper(112,a,3858,a,b,2652,a(flip))]. 3864 T(x,K(y,z)) * u = T(x,K(z,y)) * u. [hyper(52,a,3858,a)]. 3865 T(x,K(y,z)) * K(z,y) = K(z,y) * x. [para(3858(a,1),2778(a,1,1))]. 3866 T(x,K(y,z)) != u | T(u,K(z,y)) = x. [para(3858(a,1),2782(a,1))]. 3867 K(K(x,y),z) = K(z,K(y,x)). [hyper(30,a,2741,a(flip),b,3860,a),flip(a)]. 3868 T(x,K(y,z)) != u | T(x,K(z,y)) = u. [para(3860(a,1),3085(a,1))]. 3869 K(x,K(y,z)) = K(x,K(z,y)). [hyper(508,a,3867,a)]. 3870 K(x,K(y,z)) != u | K(x,K(z,y)) = u. [para(3867(a,1),508(a,1))]. 3871 K(x,K(y,z)) * K(z,y) = T(K(z,y),x). [para(3867(a,1),2741(a,2,1)),flip(a)]. 3872 K(x,K(y,z)) != u | K(K(z,y),x) = u. [para(3869(a,1),508(a,1))]. 3873 K(K(x,y),z) != u | K(z,K(y,x)) = u. [para(3863(a,1),2691(a,1))]. 3875 ((x \ y) \ 1) \ x = x * (1 / (x / y)). [para(3041(a,1),3721(a,1,1,1))]. 3876 T(x * y,y) * z != u | ((1 / y) \ x) * z = u. [para(3722(a,1),230(a,1,2))]. 3878 T(x * y,x \ 1) = y * T(x,x \ 1). [para(4(a,1),3727(a,1,1)),flip(a)]. 3879 T(x * K(y,z),K(y,z)) = K(y,z) * x. [hyper(3866,a,3728,a)]. 3880 K(x,y) * (K(y,x) * z) = z. [hyper(35,a,3717,a(flip),b,3728,a),flip(a)]. 3881 T(K(x,y) * z,u) * K(y,x) = K(y,x) * T(z * K(x,y),u). [para(3728(a,1),212(a,1,2,1)),flip(a)]. 3882 K(x,y) \ z = K(y,x) * z. [hyper(288,a,3880,a),flip(a)]. 3883 x / (K(y,z) * x) = K(z,y). [hyper(122,a,3880,a)]. 3884 K(x,y / z) * (z * T(z \ y,x)) = y. [hyper(29,a,3175,a,b,3880,a),flip(a)]. 3885 K(x,y) * (y \ z) = T(y,x) \ z. [hyper(29,a,3174,a,b,3880,a),flip(a)]. 3886 K(x,y) * (x \ z) = T(x,y) \ z. [hyper(29,a,3153,a,b,3880,a),flip(a)]. 3887 K(x,y) * (T(y,x) * z) = y * z. [hyper(29,a,2750,a,b,3880,a),flip(a)]. 3888 K(x,y) * (T(x,y) * z) = x * z. [hyper(29,a,2694,a,b,3880,a),flip(a)]. 3889 K(x,y) * T(K(y,x),z) = K(K(y,x),z). [hyper(29,a,2674,a(flip),b,3880,a),flip(a)]. 3890 x \ (K(y,z) \ x) = T(K(z,y),x). [hyper(359,a,3880,a(flip),b,137,a(flip)),flip(a)]. 3891 T(x,y) * (K(y,x) * z) = x * z. [hyper(114,a,3880,a(flip),b,2748,a),flip(a)]. 3892 x \ (K(y,x) * z) = T(x,y) \ z. [hyper(112,a,3880,a(flip),b,2749,a),flip(a)]. 3893 K(x,y) * (K(x,y) * z) = z. [para(28(a,1),3880(a,1,1))]. 3894 K(x,y) * z != u | K(y,x) * u = z. [para(3880(a,1),38(a,1)),flip(a)]. 3896 K(x,y) \ z != u | K(y,x) * z = u. [para(3880(a,1),287(a,1,2))]. 3897 L(x \ (K(y,z) * u),x,K(z,y)) = (K(z,y) * x) \ u. [para(3880(a,1),89(a,2,2))]. 3899 (x * K(y,z)) \ x = K(z,y). [hyper(3311,a,3882,a)]. 3900 (x * y) / (T(x,z) * y) = K(z,x). [hyper(113,a,3195,a(flip),b,3882,a(flip))]. 3901 K(x,y) \ z = K(x,y) * z. [para(28(a,1),3882(a,1,1))]. 3902 L(K(x,y) * (z \ u),K(y,x),z) = (z * K(y,x)) \ u. [para(3882(a,1),254(a,1,1))]. 3905 x / K(y,z) = x * K(z,y). [hyper(114,a,3883,a(flip),b,3305,a(flip)),flip(a)]. 3906 K(x,y) != z / u | K(y,x) * z = u. [para(3883(a,1),40(a,1))]. 3907 K(x,y) * (z \ K(x,y)) = T(z,K(x,y)) \ 1. [hyper(29,a,3006,a,b,3893,a),flip(a)]. 3908 x \ (K(x,y) * z) = T(x,y) \ z. [hyper(112,a,3893,a(flip),b,2749,a),flip(a)]. 3909 K(x,y) * z != u | K(x,y) * u = z. [para(3893(a,1),38(a,1)),flip(a)]. 3910 x \ (K(y,z) * ((K(y,z) * x) * u)) != w | L(u,K(y,z) * x,K(y,z)) = w. [para(3893(a,1),430(a,1,1))]. 3911 (x * K(y,z)) \ x = K(y,z). [hyper(272,a,28,a,b,3899,a),flip(a)]. 3912 (x * K(y,z)) * K(z,y) = x. [hyper(129,a,3899,a),flip(a)]. 3913 (x * T(y,z)) * K(z,y) = x * y. [hyper(34,a,3674,a,b,3899,a),flip(a)]. 3914 x * K(y,z) != u | u * K(z,y) = x. [para(3899(a,1),121(a,1,2))]. 3916 x / K(y,z) != u | x * K(z,y) = u. [para(3899(a,1),280(a,1,2))]. 3918 (x * T(x \ y,z)) \ y = K(z,x \ y). [para(3671(a,2),3899(a,1,1))]. 3919 K(x,y) * (K(x,y) * z) != u | z = u. [para(3901(a,1),230(a,1,2))]. 3921 x / K(y,z \ x) = z * T(z \ x,y). [hyper(272,a,3671,a,b,3905,a),flip(a)]. 3922 (x * y) / K(z,y) = x * T(y,z). [hyper(272,a,3664,a(flip),b,3905,a),flip(a)]. 3923 x / K(y,z) = x * K(y,z). [para(28(a,1),3905(a,1,2))]. 3924 (x * K(y,z)) \ x != u | K(z,y) = u. [para(3905(a,1),290(a,1,1))]. 3925 R((x * K(y,z)) / u,u,K(z,y)) = x / (u * K(z,y)). [para(3905(a,1),258(a,1,1,1))]. 3926 R(x * K(y,z),K(z,y),u) \ (x * u) = K(z,y) * u. [para(3905(a,1),446(a,1,1,1))]. 3927 (x * K(y,z)) * T(z,y) = x * z. [para(3905(a,1),3698(a,1,1))]. 3929 x / K(y,z) != u | x * K(y,z) = u. [para(3911(a,1),280(a,1,2))]. 3931 (x / y) * K(z,y) = x / T(y,z). [hyper(30,a,3697,a,b,3912,a),flip(a)]. 3932 (K(x,y) * T(x,z)) * K(z,x) = T(x,y). [hyper(30,a,3204,a(flip),b,3912,a),flip(a)]. 3933 (x * K(y,z)) / z = x / T(z,y). [hyper(113,a,3912,a(flip),b,3668,a),flip(a)]. 3934 (x * K(y,z)) / y = x / T(y,z). [hyper(113,a,3912,a(flip),b,3663,a),flip(a)]. 3935 (x * y) \ ((x * (y * K(z,u))) * K(u,z)) = a(x,y * K(z,u),K(u,z)). [para(3912(a,1),9(a,2,1,2)),flip(a)]. 3936 (x * y) * a(x,y * K(z,u),K(u,z)) = (x * (y * K(z,u))) * K(u,z). [para(3912(a,1),79(a,1,1,2))]. 3938 (x * K(y,z)) * T(y,z) = x * y. [para(3912(a,1),3711(a,1,1)),flip(a)]. 3939 T(x,y) \ (x * z) = K(y,x) * z. [hyper(507,a,3885,a),flip(a)]. 3941 T(x,y) * (y \ z) = x * (T(y,x) \ z). [hyper(114,a,3885,a(flip),b,2748,a),flip(a)]. 3942 K(x,L(y,z,u) \ y) * L(y,z,u) = T(L(y,z,u) \ y,x) \ y. [para(2498(a,1),3885(a,1,2))]. 3943 T(x,y) \ (T(x,z) * u) = K(y,x) * (K(x,z) * u). [para(2748(a,1),3885(a,1,2)),flip(a)]. 3944 T(x,y) \ (x * z) = K(x,y) * z. [hyper(507,a,3886,a),flip(a)]. 3945 K(x,y) * (x \ (x \ z)) = x \ (T(x,y) \ z). [hyper(272,a,1017,a(flip),b,3886,a),flip(a)]. 3946 x * (T(x,y) \ z) = K(x,y) * z. [hyper(114,a,3886,a(flip),b,3199,a)]. 3947 T(x,y) \ (T(x,y) \ z) = x \ (x \ z). [hyper(112,a,3886,a(flip),b,2749,a)]. 3948 T(x,y) \ (z * x) = K(x,y) * T(z,x). [para(17(a,2),3886(a,1,2)),flip(a)]. 3949 T(x,y) \ (x * z) != u | K(x,y) * z = u. [para(3886(a,1),507(a,1))]. 3950 K(x \ y,x) * ((x \ y) \ z) = (y / x) \ z. [para(2775(a,1),3886(a,2,1))]. 3951 K(x,y \ 1) * (y \ z) = T(y,x * y) \ z. [para(3391(a,2),3886(a,1,1))]. 3952 K(x,y \ 1) * (y \ z) = T(y,y * x) \ z. [para(3397(a,2),3886(a,1,1))]. 3953 x * (T(x,y) \ z) = K(y,x) * z. [hyper(288,a,3887,a),flip(a)]. 3954 T(x,y) * (T(y,x) * z) = x * (y * z). [hyper(114,a,3887,a(flip),b,2748,a),flip(a)]. 3955 T(x,y) \ (y * z) = x \ (T(y,x) * z). [hyper(112,a,3887,a(flip),b,2749,a)]. 3956 x * (((x \ y) \ y) \ z) = K(x,x \ y) * z. [para(569(a,1),3888(a,1,2)),flip(a)]. 3957 K(x \ y,x) * ((y / x) * z) = (x \ y) * z. [para(2775(a,1),3888(a,1,2,1))]. 3959 K(x,y) * (z * L(T(K(y,x),z),u,w)) = (K(x,y) * L(K(x,y) \ 1,u,w)) * z. [para(3890(a,1),1425(a,1,2,2,1))]. 3960 x / (K(y,x * K(z,u)) * K(u,z)) = T(x * K(z,u),y). [hyper(113,a,3912,a(flip),b,3891,a)]. 3961 K(x,y) * (K(z,x) * u) = T(x,y) * (T(x,z) \ u). [hyper(114,a,3892,a(flip),b,3191,a),flip(a)]. 3963 K(x,y) * (T(y,x) * z) != u | y * z = u. [para(3900(a,1),227(a,1,1))]. 3966 K(x,y) * ((T(x,y) * T(x,y)) * z) = x * T(z * T(x,y),T(x,y)). [hyper(114,a,3254,a(flip),b,3908,a),flip(a)]. 3970 T(x,y) \ (1 / T(x,y)) = x \ (1 / x). [para(2742(a,1),3908(a,1,2)),flip(a)]. 3971 x \ (K(y,x \ 1) * z) = T(x,x * y) \ z. [para(3397(a,2),3908(a,1,2,1))]. 3972 (x / T(y,z)) * y = x * K(z,y). [hyper(278,a,3913,a),flip(a)]. 3973 (K(x,y) * T(y,z)) * K(z,y) = y * K(x,y). [hyper(272,a,1884,a(flip),b,3913,a),flip(a)]. 3974 T(x * T(y,z),K(z,y)) = K(y,z) * (x * y). [hyper(215,a,3913,a,b,3880,a)]. 3975 (x * T(y,z)) / z = (x * y) / T(z,y). [hyper(113,a,3913,a(flip),b,3668,a),flip(a)]. 3979 (x * y) / T(y,z) = x * K(z,y). [hyper(122,a,3927,a)]. 3980 (x * K(y,z)) \ (x * z) = T(z,y). [hyper(117,a,3927,a)]. 3982 (T(x,y) * z) * K(y,T(x,z)) = x * z. [hyper(30,a,1113,a(flip),b,3927,a),flip(a)]. 3985 (x * y) / T(y,z) != u | x * K(z,y) = u. [para(3927(a,1),279(a,1,1))]. 3987 (x / y) * K(y,z) = x / T(y,z). [para(28(a,1),3931(a,1,2))]. 3989 (x / T(y,z)) * T(y,u) = (x * K(z,y)) * K(y,u). [para(3933(a,1),3668(a,1,1))]. 3990 (x / T(y,z)) * y = x * K(y,z). [hyper(125,a,3934,a)]. 3991 (1 / x) \ (y / T(x,z)) = T(y * K(x,z),x). [hyper(112,a,3934,a(flip),b,2780,a)]. 3992 T(x / T(y,z),y) = y \ (x * K(y,z)). [para(3934(a,1),100(a,1,1))]. 3993 (x \ y) * (x \ K(x,z)) = x \ (y / T(x,z)). [para(3934(a,1),1903(a,1,2)),flip(a)]. 3994 x / (y / T(x,z)) != x * u | x / (y * K(x,z)) = u. [para(3934(a,1),3325(a,1,2))]. 3996 ((1 / x) * y) * K(x,z) = T(y,x) / T(x,z). [hyper(113,a,365,a,b,3938,a),flip(a)]. 3997 ((x * y) \ x) * K(x,z) = (y \ x) / T(x,z). [hyper(113,a,3299,a(flip),b,3938,a),flip(a)]. 3998 (x * y) / T(x,z) = T(y,x) * K(x,z). [hyper(113,a,2778,a(flip),b,3938,a)]. 3999 ((1 / x) \ y) / T(x,z) = T(y,x \ 1) * K(x,z). [hyper(113,a,1972,a(flip),b,3938,a)]. 4000 T(x,y) * (1 / x) = x * (1 / T(x,y)). [hyper(114,a,2742,a(flip),b,3944,a)]. 4001 L(T(x,y) \ z,x,x) = (1 / x) * (K(x,y) * z). [hyper(114,a,3946,a(flip),b,2970,a),flip(a)]. 4002 (x * x) * (K(y,1 / x) * z) = x * (T(1 / x,y) \ z). [hyper(114,a,3953,a(flip),b,3353,a)]. 4003 (x \ y) * ((y / x) \ z) = K(x,x \ y) * z. [para(2775(a,1),3953(a,1,2,1))]. 4007 (x * T(y,z)) \ ((x * y) * z) = T(z,y). [para(3664(a,1),3980(a,1,1))]. 4013 (K(x,y) \ 1) \ z != u | K(x,y) * z = u. [para(2878(a,2),3896(a,1,1))]. 4016 K(x,y) * (x \ z) != u | T(x,y) \ z = u. [para(3174(a,1),3919(a,1,2))]. 4018 x * T(y,z) != u | (x * y) * K(z,y) = u. [para(3922(a,1),3929(a,1))]. 4019 x / (x \ (x / (y \ 1))) = x * (1 / y). [hyper(58,a,3317,a,b,3731,a)]. 4020 1 / ((x \ 1) * (y \ 1)) = (1 / y) \ x. [hyper(178,a,3733,a)]. 4021 (x \ 1) * ((y \ 1) \ 1) = (y \ x) \ 1. [para(72(a,1),3733(a,1,1,1)),flip(a)]. 4022 (x * ((x \ 1) \ y)) \ 1 = ((x * y) \ 1) * (x \ 1). [para(725(a,1),3733(a,1,1))]. 4023 (T(x / y,x) \ z) \ 1 = (z \ 1) * ((x \ y) \ 1). [para(3063(a,2),3733(a,1,1,1))]. 4024 x / ((x \ 1) * (y \ 1)) = ((1 / y) / x) \ x. [para(3733(a,1),3486(a,1,2))]. 4025 (x \ 1) * (T(y,x) \ 1) = (x / (y \ 1)) \ 1. [para(3509(a,1),3733(a,1,1)),flip(a)]. 4026 1 / (x / (y \ 1)) = (1 / y) * (1 / x). [para(680(a,1),3735(a,1,2))]. 4027 ((x \ y) \ 1) \ 1 = ((y \ x) \ x) / x. [hyper(272,a,2898,a(flip),b,3737,a)]. 4029 ((x * x) * y) * (x \ 1) = y / (1 / x). [hyper(113,a,4,a(flip),b,3744,a),flip(a)]. 4030 (x \ (y / x)) * (1 / x) = (x * x) \ (x \ y). [para(684(a,1),3744(a,1,1))]. 4031 (x \ (x \ y)) * (1 / x) = (x * x) \ (y / x). [para(2835(a,1),3744(a,1,1))]. 4032 T(x,y) \ ((x \ 1) \ z) = T(x,y) * ((1 / x) * z). [hyper(112,a,3497,a(flip),b,3749,a)]. 4033 x * (x * ((1 / T(x,y)) * z)) = (T(x,y) \ 1) \ z. [hyper(58,a,3497,a(flip),b,3749,a),flip(a)]. 4034 T(x,y) * (K(z,x) * (x \ u)) = K(x,y) * (K(z,x) * u). [hyper(114,a,3759,a(flip),b,3195,a),flip(a)]. 4035 T(x / T(y,y \ 1),y) = T(x,y) * (1 / y). [para(3765(a,2),3339(a,1,1))]. 4036 T(x * y,y) / x = T(T(y,x),y * x). [hyper(272,a,18,a,b,3767,a),flip(a)]. 4037 ((x * y) * y) * T(y,z) = (y * y) * (x * T(y,z)). [para(3778(a,1),3288(a,1,1))]. 4038 (x / y) * T(x,y) = (x * x) / y. [hyper(272,a,3329,a(flip),b,3779,a),flip(a)]. 4039 ((x * y) * (x * y)) / y = x * T(x * y,y). [para(6(a,1),4038(a,1,1)),flip(a)]. 4040 ((x \ y) * (x \ y)) / x = ((x \ y) / x) * (y / x). [para(2775(a,1),4038(a,1,2)),flip(a)]. 4041 (x * x) \ ((y \ 1) \ x) = (y \ (x * x)) \ x. [para(3290(a,1),3784(a,1,1)),flip(a)]. 4042 (x \ (x \ (y \ x))) * (y \ x) = (y \ x) * ((x * (x * y)) \ x). [para(3784(a,2),3475(a,2,2))]. 4043 T(x * y,y \ 1) = T(y,y \ 1) * x. [para(6(a,1),3786(a,1,2)),flip(a)]. 4044 (x \ 1) * (x \ K(y,x \ (1 / x))) = T(x \ (1 / x),y). [hyper(2690,a,3787,a),flip(a)]. 4045 (x \ (1 / x)) \ y = x * ((x \ 1) \ y). [hyper(112,a,67,a(flip),b,3787,a)]. 4046 ((x \ 1) * (x \ 1)) * y = (x \ 1) * (x \ y). [para(684(a,2),3787(a,1,1))]. 4047 ((x * y) \ (1 / (x * y))) * (y * y) = ((x * y) \ 1) * ((x / y) \ 1). [para(3442(a,1),3787(a,2,2))]. 4048 (x * T(x,y)) \ 1 = x \ (T(x,y) \ 1). [hyper(29,a,2633,a(flip),b,3816,a(flip)),flip(a)]. 4049 T(x,1 / ((y * z) * z)) = T(x,z \ (z \ (y \ 1))). [para(3818(a,1),1967(a,2,2))]. 4050 ((x * ((1 / (x \ 1)) \ y)) * ((1 / (x \ 1)) \ y)) \ 1 = ((1 / (x \ 1)) \ y) \ ((x \ 1) * ((y * (x \ 1)) \ 1)). [para(3008(a,1),3818(a,2,2))]. 4051 T(x \ (x \ (y \ 1)),x) = ((x * x) * (y * x)) \ x. [para(3818(a,1),3260(a,1,1))]. 4052 (x * (y * (y * x))) \ 1 = y \ (y \ ((x * x) \ 1)). [para(3774(a,1),3818(a,1,1))]. 4053 x * (x * a(1 / x,y,z)) = (x \ 1) \ L(x,z,y). [para(1203(a,2),3820(a,1,2)),flip(a)]. 4054 ((x * x) \ y) / (x \ 1) = y * (1 / x). [para(3249(a,1),3828(a,1,1))]. 4055 x * ((1 / x) * (y * (1 / x))) = y / x. [hyper(114,a,3830,a,b,xx)]. 4056 ((x * (1 / y)) * (x * (1 / y))) \ (y \ (x / y)) = (1 / y) / (x * (1 / y)). [hyper(112,a,3830,a(flip),b,3251,a)]. 4057 (x * y) * (x \ (x / (1 / y))) = (x / (x * y)) \ (x * y). [hyper(114,a,3832,a(flip),b,3000,a)]. 4059 x \ y != y * (z / y) | ((z \ y) \ 1) \ 1 = x. [para(3833(a,1),43(a,1)),flip(a)]. 4060 (x \ 1) * (y * (1 / x)) = (x \ y) * (1 / x). [hyper(114,a,3499,a(flip),b,3835,a)]. 4061 (L(x,y,z) \ x) \ (u * (1 / (x \ L(x,y,z)))) = (x \ L(x,y,z)) * (u / (x \ L(x,y,z))). [para(2538(a,1),3835(a,1,1))]. 4062 T(1 / x,x * (y * (1 / x))) = (x \ y) / (x * (y * (1 / x))). [para(3837(a,1),2775(a,1,1))]. 4063 K(x,T(y,z)) * y = y * K(x,T(y,z)). [hyper(114,a,1894,a(flip),b,3861,a)]. 4064 K(x,y) * z != u * K(x,y) | T(u,K(y,x)) = z. [para(3862(a,1),38(a,1)),flip(a)]. 4066 x / (x * (1 / (x / y))) = (x \ y) \ 1. [hyper(178,a,3875,a)]. 4067 x * (y * T(x,x \ 1)) = (x * y) / (x \ 1). [hyper(114,a,3878,a(flip),b,2928,a)]. 4068 (x * T(y,y \ 1)) * y = (1 / y) \ (y * x). [para(3878(a,1),1972(a,1,1))]. 4069 K(x,y / (z \ 1)) * (z \ T(z * y,x)) = y. [para(805(a,1),3884(a,1,2))]. 4070 K(x,(y \ z) / (y \ 1)) * (y \ T(z,x)) = y \ z. [para(883(a,1),3884(a,1,2))]. 4071 K(x,y) * T(K(y,x),z) = K(z,K(x,y)). [hyper(272,a,3867,a(flip),b,3889,a),flip(a)]. 4073 (x * (y * T(y \ (x \ z),u))) \ z = K(u,(x * y) \ z). [para(785(a,1),3918(a,1,1))]. 4074 ((x * T(x \ y,z)) * u) \ (y * u) = K(z,(x * u) \ (y * u)). [para(1298(a,1),3918(a,1,1))]. 4075 T(x * T(x \ y,z),u) \ T(y,u) = K(z,T(x,u) \ T(y,u)). [para(1586(a,1),3918(a,1,1))]. 4076 (x * ((y \ (x \ z)) * y)) \ z = K(y,(y * x) \ z). [para(2220(a,1),3918(a,1,1))]. 4077 T(x,y) * (y \ x) = y \ (x * x). [hyper(272,a,3368,a(flip),b,3941,a),flip(a)]. 4078 K(x / y,y) * T(z,x / y) = (y \ x) \ (z * (x / y)). [para(100(a,1),3948(a,1,1)),flip(a)]. 4079 K(a(1 / x,y,z),u) * T(x,a(1 / x,y,z)) = T(a(1 / x,y,z),u) \ L(x,z,y). [para(2520(a,2),3948(a,1,2)),flip(a)]. 4080 K(x \ y,x) * T(z,x \ y) = (y / x) \ (z * (x \ y)). [para(2775(a,1),3948(a,1,1)),flip(a)]. 4081 T(x \ y,x) * (((x \ y) \ y) * z) = (x \ y) * (x * z). [para(99(a,1),3954(a,1,2,1))]. 4082 (T(x,y) \ 1) * (T(x,y) \ 1) = x \ (1 / x). [hyper(58,a,684,a,b,3970,a)]. 4083 (x * T(x,y)) / y = (x / y) * x. [hyper(272,a,3331,a(flip),b,3975,a),flip(a)]. 4084 ((x / y) * x) * y = x * T(x,y). [hyper(125,a,4083,a)]. 4085 x * ((x \ y) * (x \ y)) = (y / x) * y. [hyper(58,a,1152,a,b,4083,a)]. 4086 x \ ((y / x) * y) = (x \ y) * (x \ y). [hyper(112,a,4083,a(flip),b,1152,a)]. 4087 (x * (((1 / y) * x) * y)) / y = (x / y) * x. [para(365(a,1),4083(a,1,1,2))]. 4088 (x \ T(1 / x,y)) / y = ((x \ 1) / y) * (x \ 1). [para(756(a,1),4083(a,1,1))]. 4089 (((x \ 1) \ y) * T((x \ 1) \ y,x)) / x = (x * (y / x)) * ((x \ 1) \ y). [para(3481(a,1),4083(a,2,1))]. 4091 T(x,y) * K(y,y * x) = T(y * x,y) / y. [hyper(2269,a,3998,a),flip(a)]. 4092 K(x \ 1,x * y) = T(x,y) * (1 / x). [hyper(272,a,3488,a,b,4000,a)]. 4093 (x * T(y,L(z,y,x))) \ (x * (y * z)) = T(L(z,y,x),y). [para(87(a,1),4007(a,1,2))]. 4094 (x * (1 / y)) \ x = x \ (x / (y \ 1)). [hyper(172,a,4019,a)]. 4095 x / ((x \ y) \ 1) = x * (1 / (y \ x)). [para(3513(a,1),4019(a,1,2))]. 4096 1 / (x * (y \ 1)) = (1 / y) \ (1 / x). [para(74(a,1),4020(a,1,2,1))]. 4097 (x \ (1 / y)) \ 1 = y * ((x \ 1) \ 1). [hyper(533,a,4021,a),flip(a)]. 4098 L((x \ 1) \ 1,y,y) = y * ((x \ y) \ 1). [hyper(114,a,4021,a(flip),b,2969,a),flip(a)]. 4099 (x \ 1) * ((x \ y) \ 1) = T(y \ 1,x \ 1). [hyper(114,a,4021,a(flip),b,2789,a)]. 4101 (T(1 / x,y) \ z) \ 1 = (z \ 1) * T(x \ 1,y). [para(1616(a,1),4021(a,1,2)),flip(a)]. 4102 L(x,y * (z * ((u \ w) \ 1)),v5) = L(x,y * (z * ((w \ 1) * u)),v5). [para(4021(a,1),2470(a,1,2,2,2))]. 4103 K(x,y) * ((z \ 1) \ 1) = (z \ K(x,y)) \ 1. [para(2879(a,1),4021(a,1,1))]. 4104 ((x \ 1) \ y) \ 1 = (y \ 1) * (1 / x). [para(2826(a,1),4021(a,1,2)),flip(a)]. 4105 T((x \ y) \ 1,x) = (x \ 1) \ (y \ 1). [para(4021(a,1),3651(a,1,1))]. 4106 ((1 / x) * (1 / y)) \ 1 = y / (x \ 1). [hyper(172,a,4026,a)]. 4107 ((x \ y) \ 1) \ 1 = (x * (y \ x)) \ x. [hyper(272,a,3308,a(flip),b,4027,a),flip(a)]. 4108 T(x / (1 / y),y) = T(y,y \ 1) * x. [hyper(58,a,3225,a,b,4043,a)]. 4109 T(x,y * T(y,z)) * (y \ (T(y,z) \ 1)) != u | (y * T(y,z)) \ x = u. [para(4048(a,1),690(a,1,2))]. 4110 (x \ 1) * ((y \ (T(y,z) \ 1)) \ 1) = ((y * T(y,z)) \ x) \ 1. [para(4048(a,1),4021(a,1,2,1))]. 4111 (x / (1 / y)) / y = y * ((1 / y) * x). [para(7(a,1),4055(a,1,2,2)),flip(a)]. 4112 x / (x * (1 / y)) = (x \ (y \ x)) \ 1. [para(72(a,1),4066(a,1,2,2,2))]. 4113 ((x \ y) \ 1) \ x != z | x * (1 / (x / y)) = z. [para(4066(a,1),290(a,1,1))]. 4114 ((x \ y) \ y) * ((x \ y) \ y) = (x \ y) \ (x * y). [hyper(112,a,165,a(flip),b,4085,a),flip(a)]. 4115 (x / y) * (x / y) = (y \ x) * (y \ x). [hyper(29,a,2953,a,b,4085,a)]. 4116 ((x \ 1) \ y) * ((x \ 1) \ y) = x * ((y / (x \ 1)) * y). [hyper(114,a,4085,a(flip),b,3366,a(flip)),flip(a)]. 4117 x \ ((y / x) * y) != z | (x \ y) * (x \ y) = z. [para(4085(a,1),287(a,1,2))]. 4118 x * ((x \ y) * (x \ y)) != z | (y / x) * y = z. [para(4086(a,1),230(a,1,2))]. 4120 x * T(1 / x,(y / x) * y) = K(x,(x \ y) * (x \ y)). [para(4086(a,1),3551(a,2,2))]. 4121 x \ (x / ((y \ 1) \ 1)) = (x * y) \ x. [para(72(a,1),4094(a,1,1,2)),flip(a)]. 4122 ((x / (x / (y \ 1))) \ 1) * (x / (y \ 1)) = (x / (y \ 1)) * ((x * (1 / y)) \ x). [para(4094(a,2),2272(a,2,2))]. 4123 (x \ (x / (y \ 1))) * x = (1 / y) \ x. [para(4094(a,1),3299(a,1,1))]. 4124 L(x * ((y \ 1) \ 1),z,z) = L(y \ (1 / x),z,z) \ 1. [para(4097(a,1),3798(a,1,1))]. 4125 1 / ((x \ 1) * (1 / y)) = (y \ 1) \ x. [hyper(178,a,4104,a)]. 4126 (((x \ 1) * y) \ 1) * (1 / x) = y \ 1. [para(4(a,1),4104(a,1,1)),flip(a)]. 4127 ((x * (y \ 1)) \ 1) * (1 / y) = T(x,y \ 1) \ 1. [para(17(a,2),4104(a,1,1)),flip(a)]. 4128 (((x \ 1) \ 1) \ y) \ 1 = (y \ 1) * x. [para(72(a,1),4104(a,2,2))]. 4129 L(((1 / x) \ 1) \ y,(1 / x) \ 1,((x \ 1) \ z) \ 1) = L(z \ 1,1 / x,1 / x) \ (((z \ 1) * (1 / x)) * y). [para(4104(a,2),2018(a,1,3))]. 4130 x * ((x \ 1) \ (y \ 1)) = ((x \ y) \ 1) * x. [hyper(114,a,4105,a(flip),b,17,a(flip))]. 4131 (x \ 1) \ ((x * y) \ 1) = T(y \ 1,x). [para(4(a,1),4105(a,1,1,1)),flip(a)]. 4132 x / ((y \ 1) \ 1) = (y * (1 / x)) \ 1. [para(72(a,1),4106(a,1,1,1)),flip(a)]. 4133 (x \ 1) / (y \ 1) = ((1 / y) * x) \ 1. [para(72(a,1),4106(a,1,1,2)),flip(a)]. 4134 (((1 / x) * (1 / y)) * (z * (y / (x \ 1)))) * ((1 / x) * (1 / y)) = ((1 / x) * (1 / y)) * z. [para(4106(a,1),703(a,1,1,2,2))]. 4135 ((1 / x) * (1 / y)) * (z * (y / (x \ 1))) = T(z,(1 / x) * (1 / y)). [para(4106(a,1),2843(a,2,2,2)),flip(a)]. 4136 x / (((x \ y) \ 1) \ 1) = x * (y \ x). [hyper(178,a,4107,a(flip))]. 4138 T(T(x,x \ 1) * y,x) = y / (1 / x). [hyper(2782,a,4108,a)]. 4139 x / (x * (1 / L(x,y,z))) = (L(x,y,z) \ 1) \ 1. [para(692(a,1),4112(a,2,1))]. 4140 R(x,y / z,y / z) * ((z \ y) * (z \ y)) = (x * (y / z)) * (y / z). [hyper(114,a,4115,a(flip),b,166,a)]. 4141 (x \ T(y,x)) * (x \ T(y,x)) = (T(y,x) / x) * ((1 / x) * y). [para(369(a,1),4115(a,1,2)),flip(a)]. 4142 ((x * x) \ y) * ((x * x) \ y) = (x \ (x \ y)) * (y / (x * x)). [para(3009(a,1),4115(a,1,1)),flip(a)]. 4143 ((x \ y) * (x \ y)) * z = (z * (y / x)) * (y / x). [para(4115(a,1),3252(a,2,1)),flip(a)]. 4144 (x / y) * ((x / y) * (z \ 1)) = z \ ((y \ x) * (y \ x)). [para(4115(a,1),3290(a,2,2))]. 4145 (1 / T(x * y,x)) * (T(1 / y,x) / x) = (x \ T(1 / y,x)) * (x \ T(1 / y,x)). [para(3036(a,1),4115(a,1,1))]. 4146 (x * (y \ 1)) \ x = x \ (x / (1 / y)). [para(2826(a,1),4121(a,1,2,2)),flip(a)]. 4147 (1 / (x \ y)) \ y = ((y \ x) \ 1) * y. [para(3513(a,1),4123(a,1,1)),flip(a)]. 4148 1 / ((x \ 1) * y) = ((y \ 1) \ 1) \ x. [para(72(a,1),4125(a,1,2,2))]. 4149 1 / (x * (1 / y)) = (y \ 1) \ (1 / x). [para(74(a,1),4125(a,1,2,1))]. 4150 (x \ 1) / (1 / y) = ((y \ 1) * x) \ 1. [hyper(122,a,4126,a)]. 4151 ((x \ 1) * (1 / y)) \ 1 = y / (1 / x). [hyper(113,a,74,a(flip),b,4126,a),flip(a)]. 4152 (x \ 1) * (((x \ 1) * y) \ 1) = T(y \ 1,x). [para(4126(a,1),3127(a,1,1)),flip(a)]. 4153 (L(x,x,x) \ y) \ 1 = (y \ 1) * x. [para(2012(a,2),4128(a,1,1,1))]. 4154 (x * (1 / y)) \ 1 = (x \ 1) * T(y,x). [para(3721(a,1),4128(a,1,1))]. 4155 (x * (y / x)) \ 1 = (x \ 1) * (y \ x). [para(3833(a,1),4128(a,1,1))]. 4156 (x \ 1) * T(y \ 1,x) = (x * y) \ 1. [hyper(127,a,4131,a)]. 4157 (x \ 1) * T(y \ 1,x) != z | (x * y) \ 1 = z. [para(4131(a,1),230(a,1,2))]. 4159 (x * (1 / (y * (z * ((x \ 1) \ 1))))) \ 1 = (x \ 1) \ (((x \ 1) * y) * z). [hyper(1134,a,4132,a),flip(a)]. 4160 ((x \ y) * (1 / y)) \ 1 = y * (((y \ x) \ 1) \ 1). [hyper(58,a,1797,a(flip),b,4132,a),flip(a)]. 4161 (x \ 1) / ((y \ 1) \ 1) = (y * x) \ 1. [para(72(a,1),4132(a,2,1,2))]. 4162 x / (1 / (1 / y)) = (y * (1 / x)) \ 1. [para(2898(a,2),4132(a,1,2))]. 4163 x \ (((1 / x) * y) \ 1) = T(y \ 1,x \ 1). [hyper(112,a,4133,a(flip),b,2779,a)]. 4164 ((x \ y) * (1 / x)) \ 1 = x * (y \ x). [hyper(58,a,4132,a(flip),b,4136,a)]. 4165 T(((x \ 1) \ 1) * y,x) = y / (1 / x). [para(99(a,1),4138(a,1,1,1))]. 4166 ((x \ 1) \ y) / y = y \ (y / (1 / x)). [hyper(3632,a,4146,a)]. 4167 (x \ 1) \ ((x \ 1) / (1 / (y \ 1))) = ((y \ x) \ 1) \ (x \ 1). [para(4021(a,1),4146(a,1,1)),flip(a)]. 4168 x \ y != ((y \ z) \ 1) * y | 1 / (z \ y) = x. [para(4147(a,1),43(a,1)),flip(a)]. 4169 ((x \ 1) \ 1) \ (1 / y) = 1 / (y * x). [para(74(a,1),4148(a,1,2,1)),flip(a)]. 4170 (x \ 1) \ (1 / L(y,x,x)) = 1 / (y / x). [para(2972(a,1),4149(a,1,2)),flip(a)]. 4171 ((x \ y) \ 1) \ (1 / x) = 1 / ((x / y) * x). [para(3069(a,1),4149(a,1,2)),flip(a)]. 4172 (((x \ 1) \ 1) * y) \ 1 = (y \ 1) / x. [para(72(a,1),4150(a,1,2)),flip(a)]. 4173 1 / (x / (1 / y)) = (y \ 1) * (1 / x). [hyper(178,a,4151,a)]. 4174 x \ 1 != y / (1 / z) | (z \ 1) * (1 / y) = x. [para(4151(a,1),43(a,1)),flip(a)]. 4175 a((x / (1 / y)) \ 1,z,u) = a((y \ 1) * (1 / x),z,u). [para(4151(a,1),2512(a,1,1,1))]. 4176 (x * (1 / y)) \ 1 = x \ T(y,x \ 1). [hyper(272,a,2841,a,b,4154,a),flip(a)]. 4177 (x \ 1) * ((x * y) \ x) = (y * x) \ 1. [para(2806(a,1),4155(a,1,1)),flip(a)]. 4178 ((x * y) \ 1) \ (y \ 1) = (x \ 1) \ 1. [hyper(172,a,4161,a)]. 4179 (((x \ 1) \ y) * x) \ 1 = (x \ 1) * (y \ (x \ 1)). [hyper(58,a,4136,a(flip),b,4161,a),flip(a)]. 4180 ((x * (1 / y)) \ 1) * x = K(x,x \ 1) * y. [para(4162(a,1),1842(a,1,1))]. 4181 1 / (x * (y \ x)) = (x \ y) * (1 / x). [hyper(178,a,4164,a)]. 4182 (((x \ 1) \ 1) * y) / x = (1 / x) * (y / (1 / x)). [hyper(114,a,4165,a(flip),b,2920,a(flip)),flip(a)]. 4183 ((x \ 1) \ (y * x)) / (y * x) = (y * x) \ (x * (x * y)). [para(3574(a,1),4166(a,2,2))]. 4184 T(((x \ 1) \ 1) * y,z) \ z = z * ((y \ 1) / x). [hyper(114,a,4172,a(flip),b,2934,a),flip(a)]. 4185 ((x \ 1) \ 1) * (1 / y) = 1 / (y / x). [para(72(a,1),4173(a,1,2,2)),flip(a)]. 4186 1 / L(x * y,y,y) = (y \ 1) * (1 / x). [para(2966(a,2),4173(a,1,2))]. 4187 (x \ 1) * (1 / (y / x)) = 1 / L(y,x,x). [para(3105(a,1),4173(a,1,2)),flip(a)]. 4188 ((x \ 1) * (1 / y)) \ y = y / (y \ (1 / x)). [para(4173(a,1),3510(a,1,1))]. 4189 (x \ 1) * (1 / (x * y)) = 1 / (x * (y * x)). [para(3589(a,1),4173(a,1,2)),flip(a)]. 4190 T(x / T(y,x \ 1),x) = x * (1 / y). [hyper(3078,a,4176,a)]. 4191 ((x / y) \ 1) \ 1 = (x \ 1) \ (y \ 1). [para(7(a,1),4178(a,1,1,1)),flip(a)]. 4192 1 / x != (y \ z) * (1 / y) | y * (z \ y) = x. [para(4181(a,1),40(a,1)),flip(a)]. 4193 (x \ (x / y)) * (1 / x) = 1 / (x * y). [para(74(a,1),4181(a,1,2,2)),flip(a)]. 4194 x \ (x \ ((y \ 1) \ 1)) = (1 / (x / y)) / x. [para(4185(a,1),3534(a,1,1)),flip(a)]. 4195 x / T(y,x \ 1) = T(x * (1 / y),x). [hyper(2782,a,4190,a),flip(a)]. 4196 x * (1 / T(y,x \ 1)) = T(x / y,x). [para(2765(a,1),4190(a,1,1,2)),flip(a)]. 4197 ((x / (1 / y)) \ 1) \ 1 = (x \ 1) \ y. [para(74(a,1),4191(a,2,2))]. 4198 ((x \ 1) \ (y \ 1)) \ (1 / z) = 1 / (z * (x / y)). [para(4191(a,1),4169(a,1,1))]. 4199 (x \ (x \ (x / y))) / x = x \ (1 / (x * y)). [hyper(112,a,4193,a(flip),b,3499,a),flip(a)]. 4200 x \ (x / T(y,x \ 1)) = T(1 / y,x \ 1). [hyper(112,a,4195,a,b,2771,a)]. 4201 1 / ((x \ 1) \ y) = (x / (1 / y)) \ 1. [hyper(178,a,4197,a)]. 4202 ((x * (y * x)) \ 1) \ 1 = ((x * y) \ 1) \ x. [para(3589(a,1),4197(a,1,1,1))]. 4203 T((x / (1 / y)) \ 1,y) = (y / (x \ 1)) \ 1. [para(4201(a,1),3424(a,1,1))]. 4210 K(x,y * y) = a(y,y,x). [hyper(509,a,3024,a)]. 4211 K(x * x,y) = a(x,x,y). [hyper(293,a,3024,a)]. 4212 a(x,x,y) != z | K(x * x,y) = z. [para(3024(a,1),293(a,1))]. 4213 x * a(y,y,x) = L(x,y,y). [para(4210(a,1),2964(a,1,2))]. 4214 x * (x * a(x,x,y)) = T(x * x,y). [para(4210(a,1),3020(a,1,2,2))]. 4215 x \ L(x,y,y) = a(y,y,x). [hyper(117,a,4213,a)]. 4216 a(x,x,T(y,x)) = T(y,x) \ T(y,x \ 1). [hyper(112,a,2792,a(flip),b,4213,a),flip(a)]. 4217 a(x,x,y \ 1) = a(y,x,x). [hyper(29,a,2516,a,b,4213,a),flip(a)]. 4219 a(x,x,y) * y = L(y,x,x). [para(4215(a,1),2495(a,1,1))]. 4220 K(x * x,y \ 1) = a(y,x,x). [hyper(58,a,4211,a,b,4217,a)]. 4221 a(x,y,y) != z | K(y * y,x \ 1) = z. [para(4217(a,1),4212(a,1))]. 4222 x \ T(x * x,y) = x * a(x,x,y). [hyper(117,a,4214,a)]. 4223 (1 / x) * T(x * x,y) = (x \ 1) \ a(x,x,y). [hyper(114,a,4214,a(flip),b,3107,a)]. 4224 x \ (x \ T(x * x,y)) = a(x,x,y). [para(4214(a,1),62(a,1,2,2))]. 4225 T(x * x,y) / x = x * a(x,x,y). [hyper(58,a,2194,a,b,4222,a)]. 4228 T(x * x,y) / x = a(x,x,y) * x. [hyper(272,a,1189,a,b,4225,a),flip(a)]. 4229 (x * x) \ (T(x * x,y) / x) = a(x,x,y) / x. [hyper(112,a,4228,a,b,3251,a)]. 4230 (L(x,y,y) \ 1) * y = (x \ (y * y)) / y. [hyper(113,a,3056,a(flip),b,3252,a),flip(a)]. 4231 1 / L(x \ y,x,x) = T(x / y,x \ 1). [hyper(58,a,3790,a(flip),b,3067,a)]. 4232 L(x,y,y) * (y \ 1) = (y * (1 / x)) \ 1. [hyper(272,a,4132,a(flip),b,3131,a),flip(a)]. 4233 L(((x \ 1) \ 1) \ y,x,x) = (x \ 1) * y. [hyper(30,a,721,a(flip),b,3131,a),flip(a)]. 4234 L(x,y \ 1,y \ 1) = L(x,y,y). [hyper(272,a,3109,a(flip),b,3137,a),flip(a)]. 4235 L(x,y \ 1,y \ 1) != z | L(x,y,y) = z. [para(3137(a,2),3114(a,1))]. 4236 L(x,1 / y,y \ 1) = L(x,y,y). [hyper(58,a,2461,a,b,4234,a)]. 4237 L(x,1 / y,1 / y) = L(x,y,y). [hyper(58,a,2449,a,b,4236,a)]. 4238 x * T(K(x,y),z) != u | T(x,y) * K(K(x,y),z) = u. [para(2674(a,2),3192(a,1,2))]. 4239 x * (T(y,x) * z) != u | T(x,y) * (y * z) = u. [para(2694(a,1),3192(a,1,2))]. 4240 x * (T(y,x) \ z) != u | T(x,y) * (y \ z) = u. [para(3885(a,1),3192(a,1,2))]. 4242 T(T(x,y),x \ z) != u | T((x \ z) \ z,y) = u. [para(72(a,1),3224(a,1,1,1))]. 4243 K(x,y * y) = a(x,y,y). [hyper(509,a,3282,a)]. 4244 a(x,y,y) = a(y,y,x). [hyper(58,a,3024,a(flip),b,3282,a),flip(a)]. 4245 K(x * x,y \ 1) = a(x,x,y). [hyper(4221,a,4244,a)]. 4246 a(x \ 1,y,y) = a(x,y,y). [hyper(272,a,4217,a(flip),b,4244,a),flip(a)]. 4247 x * a(x,y,y) = L(x,y,y). [hyper(114,a,4244,a,b,4215,a)]. 4248 x * a(x,x,y) = L(x,y,x). [para(4244(a,1),3808(a,1,2))]. 4249 x \ L(x,y,y) != z | a(x,y,y) = z. [para(4247(a,1),287(a,1,2))]. 4250 T(x * x,y) / x = L(x,y,x). [hyper(58,a,4225,a,b,4248,a)]. 4251 x * L(x,y,x) = T(x * x,y). [hyper(114,a,4248,a(flip),b,4222,a)]. 4252 L(L(x,y,x),x,x) = (x \ 1) \ a(x,x,y). [para(4248(a,1),2002(a,1,1))]. 4253 (1 / x) \ L(x,y,x) = T((1 / x) \ x,y). [hyper(112,a,4250,a(flip),b,578,a)]. 4254 a(x,x,y) != z | a(y,x,x) = z. [para(4215(a,1),4249(a,1))]. 4255 K(x,y * y) != z | a(x,y,y) = z. [para(4210(a,2),4254(a,1))]. 4256 (x * y) * (L(y \ z,y,x) \ 1) != u | ((x * z) / (x * y)) \ (x * y) = u. [para(89(a,2),3327(a,1,2,1))]. 4257 (x * x) \ (K(x,y) * z) != u | (1 / x) * (T(x,y) \ z) = u. [para(3946(a,1),3354(a,1,2))]. 4258 L((x \ 1) * (x \ 1),y,y) = (x \ 1) / x. [para(4115(a,1),3376(a,1,1))]. 4259 x * (y * x) != z | (x * y) / (1 / x) = z. [para(2806(a,1),3591(a,1,2))]. 4260 K(x,y) * K(y,y * x) = y \ L(y,x,y). [hyper(1492,a,3596,a)]. 4261 (x \ y) \ (x / y) != z | (x / y) * T(x / y,x) = z. [para(3041(a,1),3617(a,1,1))]. 4263 K(x * y,x) * K(x,y) = x \ R(x,y,x). [hyper(1492,a,3638,a)]. 4264 x \ R(x,y,x) != z | K(x * y,x) * K(x,y) = z. [para(3638(a,1),1492(a,1))]. 4266 (x * y) * K(z,y) != u | x * T(y,z) = u. [para(28(a,1),3692(a,1,2))]. 4267 T(x,y) * K(x,z) != u | K(x,y) * T(x,z) = u. [para(2741(a,2),3692(a,1,1))]. 4269 (1 / x) \ (1 / ((x \ 1) \ y)) = x * (1 / (x * y)). [para(2967(a,1),3791(a,1,2,2)),flip(a)]. 4270 ((x * y) * ((y \ 1) * (1 / z))) / (1 / L(z,y,y)) = R(x,y,y \ (1 / L(z,y,y))). [para(3793(a,1),92(a,1,1,2))]. 4271 (1 / x) \ (y \ 1) != x * z | L(y,x,x) \ 1 = z. [para(3801(a,1),38(a,1))]. 4273 T(x,y) \ z != u | K(x,y) * (x \ z) = u. [para(5(a,1),3949(a,1,2))]. 4275 K(x,y) * ((x * x) \ z) != u | T(x,y) \ ((x \ 1) * z) = u. [para(3525(a,1),4016(a,1,2))]. 4276 1 / (T(x,y) / y) = T(y / x,y \ 1). [para(3129(a,1),4231(a,1,2))]. 4277 R(L(x,y,y),y \ 1,z) = (((y * (1 / x)) \ 1) * z) / ((y \ 1) * z). [para(4232(a,1),15(a,2,1,1))]. 4278 ((x \ 1) \ 1) \ T(y,x) = y * (1 / x). [hyper(36,a,3654,a,b,4233,a),flip(a)]. 4279 ((x \ 1) \ 1) \ y = T(y,x) * (1 / x). [para(2765(a,1),4278(a,1,2))]. 4280 T(x,x \ 1) \ y = T(y,x) * (1 / x). [hyper(571,a,4279,a)]. 4281 T(1 / x,y) * (1 / y) = 1 / (x * y). [hyper(58,a,4169,a(flip),b,4279,a),flip(a)]. 4282 T(x * (y * (1 / x)),x) = x * (((x \ 1) \ 1) \ y). [para(4279(a,2),1228(a,2,2))]. 4283 (T(x,y) * (1 / y)) \ 1 = (x \ 1) * y. [para(4279(a,1),4128(a,1,1))]. 4284 L(x \ (1 / x),y,y) = (x \ 1) / x. [para(684(a,1),4258(a,1,1))]. 4285 L(x \ (1 / x),y,y) = x \ (1 / x). [hyper(272,a,3533,a(flip),b,4284,a),flip(a)]. 4286 (x \ 1) * (y \ (1 / y)) = x \ (y \ (1 / y)). [hyper(114,a,4285,a(flip),b,2013,a)]. 4287 (1 / x) \ (y \ (1 / y)) = x * (y \ (1 / y)). [hyper(114,a,4285,a(flip),b,1998,a),flip(a)]. 4288 ((x \ (1 / x)) \ y) \ 1 = y \ (x \ (1 / x)). [hyper(112,a,4285,a(flip),b,2017,a(flip)),flip(a)]. 4289 x \ R(x,x \ y,x) = K(y,x) * K(x,x \ y). [para(5(a,1),4263(a,1,1,1)),flip(a)]. 4290 x \ R(x,y,x) != z | K(x,y) * K(x * y,x) = z. [para(4263(a,1),1495(a,1))]. 4291 (x \ (x \ y)) * K(z,x \ 1) != u | (y / x) * T(x \ 1,z) = u. [para(2835(a,1),4266(a,1,1))]. 4292 (x * K(y,x)) \ z != u | K(x,y) * (x \ z) = u. [para(2652(a,1),4273(a,1,1))]. 4293 K(x,y) * ((x * z) * x) = (T(x,y) * z) * x. [hyper(58,a,3176,a,b,2641,a)]. 4294 T(x,y) * (z / (x \ 1)) = (T(x,y) * z) * x. [hyper(58,a,694,a(flip),b,2641,a)]. 4295 K(x,y) * T(x * z,x) = T(T(x,y) * z,x). [hyper(215,a,2641,a(flip),b,2687,a),flip(a)]. 4297 (x \ (y * T(x,z))) * (x \ 1) = (x \ y) * K(x,z). [hyper(3608,a,2739,a)]. 4298 x \ (y * K(x,z)) = (x \ y) * K(x,z). [para(3688(a,1),2739(a,1,2))]. 4299 x * ((x \ y) * K(x,z)) = y * K(x,z). [hyper(127,a,4298,a)]. 4300 T(x / T(y,z),y) = (y \ x) * K(y,z). [hyper(58,a,3992,a,b,4298,a)]. 4301 x \ ((y * x) * K(x,z)) = T(y,x) * K(x,z). [para(17(a,2),4298(a,2,1))]. 4303 (x * y) * K(x,z) = x * (y * K(x,z)). [para(4(a,1),4299(a,1,2,1)),flip(a)]. 4304 (x * (y * y)) * K(y,z) = y * ((y * x) * K(y,z)). [para(2840(a,1),4299(a,1,2,1)),flip(a)]. 4305 (T(x,y) \ y) * K(y,z) = y * ((x \ 1) * K(y,z)). [para(2934(a,1),4299(a,1,2,1)),flip(a)]. 4306 (x \ L(T(x,y),z,u)) * K(x,y) = T(a(T(x,y) \ 1,u,z),x). [para(2510(a,2),4300(a,1,1)),flip(a)]. 4308 L(K(x,y),z,x) = K(x,y). [hyper(2469,a,4303,a)]. 4309 R(x,y,K(x,z)) = x. [hyper(453,a,4303,a)]. 4310 x \ ((x * (y * K(x,z))) / x) = y * (K(x,z) * (x \ 1)). [para(4303(a,1),1132(a,1,2,1))]. 4311 (K(x,y) * (x * z)) / (x * (z * K(x,y))) = K(K(x,y),x * z). [para(4303(a,1),2560(a,2,2)),flip(a)]. 4312 (x * (y * K(x,z))) * x = (x * y) * T(x,z). [para(4303(a,1),3699(a,1,1))]. 4313 (T(x,y) * z) * K(x,u) = T(x,y) * (z * K(x,u)). [para(4309(a,1),450(a,1,1,1)),flip(a)]. 4316 a(x,y,K(x,z)) = 1. [hyper(48,a,4308,a)]. 4317 a(x,y,K(z,x)) = 1. [para(28(a,1),4316(a,1,3))]. 4318 L(K(x,y),z,y) = K(x,y). [hyper(47,a,4317,a)]. 4319 (x * y) * K(z,x) = x * (y * K(z,x)). [hyper(114,a,4318,a(flip),b,13,a(flip))]. 4320 (x \ y) * ((x \ 1) * K(z,x \ y)) = (x \ (y / x)) * K(z,x \ y). [para(684(a,1),4319(a,1,1)),flip(a)]. 4321 L(L(x,y,z) * K(u,L(x,y,z)),w,v5) * u = u * L(L(x,w,v5),y,z). [para(25(a,1),2762(a,2,2))]. 4322 (x * T(x * y,y)) * y = (x * y) * (x * y). [hyper(29,a,3159,a(flip),b,2815,a(flip)),flip(a)]. 4323 T(x * y,y) * ((1 / y) \ z) = y * ((x * T(z,y \ 1)) * y). [para(1972(a,1),2815(a,1,2))]. 4324 T(x * y,y) * (y * z) = y * ((x * T(z,y)) * y). [para(2778(a,1),2815(a,1,2))]. 4325 (K(x,y) * z) * (u * K(x,y)) = K(x,y) * ((z * u) * K(x,y)). [para(3879(a,1),2815(a,1,1))]. 4326 x * ((y * (y * (z / x))) * x) = T(z,x) * ((y * y) * x). [para(2956(a,1),2816(a,1,2,1))]. 4327 R(x * K(y,x),z,u) \ R(x,z,u) = K(R(x,z,u),y). [para(2872(a,2),2824(a,2,1)),flip(a)]. 4328 K((x \ y) \ 1,z) = K(y \ x,z). [hyper(58,a,3675,a(flip),b,2877,a),flip(a)]. 4330 x \ (((y \ (x / z)) * y) * z) = K((x \ (y * z)) \ 1,y). [para(988(a,1),2877(a,1,2))]. 4331 x \ (((y \ (x * z)) * y) / z) = K((x \ (y / z)) \ 1,y). [para(1338(a,1),2877(a,1,2))]. 4333 x * K((y \ z) \ 1,x / (z \ y)) = (z \ y) * (x / (z \ y)). [hyper(114,a,4328,a,b,83,a)]. 4336 (1 / x) \ ((((1 / x) * y) * (x * x)) / (1 / x)) = y * ((x * (1 * x)) * x). [para(2922(a,1),1132(a,2,2))]. 4337 ((1 / x) * (1 / x)) * ((1 / (1 / x)) \ (y * y)) = ((1 / x) * ((y * y) / x)) * (1 / x). [para(3329(a,1),2922(a,2,1,2))]. 4338 T(x \ 1,y) * (1 / x) = T(1 / x,y) / x. [hyper(612,a,2929,a)]. 4339 T((x * y) \ 1,y \ 1) = (y \ 1) * (T(x,y) \ 1). [para(98(a,1),3001(a,1,1,1))]. 4340 x * (L(y,x,x) \ 1) = T(y,x \ 1) \ x. [para(2792(a,1),3003(a,1,1)),flip(a)]. 4341 T((x \ 1) * y,y) = T(x,y \ 1) \ y. [hyper(58,a,3800,a(flip),b,4340,a)]. 4342 (x * (y * x)) \ (x * (x * T(y,x \ 1))) = K(x * x,T(y,x \ 1)). [para(3092(a,1),3026(a,1,1))]. 4343 (x \ y) \ (x \ 1) = (y \ x) * (x \ 1). [hyper(58,a,2277,a(flip),b,3042,a)]. 4344 (x \ y) \ (x \ 1) = x * ((y * x) \ 1). [hyper(272,a,3816,a(flip),b,4343,a),flip(a)]. 4345 ((x * y) \ x) * (x \ 1) = y \ (x \ 1). [para(4(a,1),4343(a,1,1)),flip(a)]. 4346 x * (((x * y) * x) \ 1) = y \ (x \ 1). [para(4(a,1),4344(a,1,1)),flip(a)]. 4347 x \ (T(y,x) \ 1) = y \ (x \ 1). [hyper(58,a,2823,a(flip),b,4345,a)]. 4348 (x * L(x \ 1,y,z)) \ x = 1 / L(x \ 1,y,z). [hyper(30,a,2506,a,b,4345,a),flip(a)]. 4349 ((x * y) * x) \ 1 = x \ (y \ (x \ 1)). [hyper(112,a,4345,a(flip),b,3816,a(flip)),flip(a)]. 4350 x \ (y \ 1) != z * (y \ 1) | (y * x) \ y = z. [para(4345(a,1),39(a,1))]. 4351 (x / y) \ (y \ 1) = y \ ((y \ x) \ 1). [para(100(a,1),4347(a,1,2,1)),flip(a)]. 4352 T(x,y) \ (y \ 1) = y \ (x \ 1). [para(2765(a,1),4347(a,1,2,1)),flip(a)]. 4353 (T(x,y) \ 1) / y = T(x \ (y \ 1),y). [para(4347(a,1),2775(a,1,1)),flip(a)]. 4354 (x / (y \ 1)) \ (y \ 1) = y \ ((y * x) \ 1). [para(2772(a,1),4347(a,1,2,1)),flip(a)]. 4355 x \ (x \ (y \ x)) = y \ (x \ 1). [para(2999(a,1),4347(a,1,2))]. 4356 (x / y) \ (x \ 1) = x \ (x \ y). [para(3041(a,1),4347(a,1,2)),flip(a)]. 4357 T(x,y * T(y,z)) \ (y \ (T(y,z) \ 1)) = (y * T(y,z)) \ (x \ 1). [para(4048(a,1),4352(a,1,2))]. 4358 x * (y \ (x \ 1)) = x \ (y \ x). [hyper(127,a,4355,a)]. 4359 ((x \ y) * (1 / y)) / y = x \ (y \ 1). [hyper(58,a,3534,a,b,4355,a)]. 4360 x \ (x \ (y \ x)) != z | y \ (x \ 1) = z. [para(4358(a,1),287(a,1,2))]. 4361 x * ((x * (1 / y)) \ (x \ 1)) = x \ (x \ (x / (y \ 1))). [para(4094(a,1),4358(a,2,2))]. 4362 1 / (x \ (y \ (x \ 1))) = (x * y) * x. [hyper(178,a,4349,a)]. 4365 (x \ (y \ 1)) * y = (x \ y) * (1 / y). [hyper(125,a,4359,a)]. 4367 T(T(x,y \ 1) \ 1,y) = (x \ (1 / y)) * y. [para(3054(a,1),365(a,2,1))]. 4368 x \ (x \ L(y,x,x)) = y / T(x * x,y). [para(2952(a,1),3057(a,1,2,2))]. 4369 x \ ((x \ 1) * y) = y / T(x * x,y). [para(2969(a,1),4368(a,1,2))]. 4370 x / T(y * y,x) = (y * y) \ x. [hyper(3565,a,4369,a),flip(a)]. 4371 ((x * x) \ y) \ y = T(x * x,y). [hyper(172,a,4370,a)]. 4372 x / (y \ (y \ x)) = T(y * y,x). [hyper(58,a,3061,a,b,4371,a)]. 4373 (x \ (x \ 1)) * y = (x * x) \ y. [hyper(34,a,3060,a,b,4371,a)]. 4374 T((x \ y) * (x \ y),y) = (x / (x \ y)) \ y. [para(3264(a,1),4371(a,1,1)),flip(a)]. 4375 T(x * x,y) \ y = x \ (x \ y). [hyper(172,a,4372,a)]. 4376 T(x * x,x * (x * y)) = (x * (x * y)) / y. [para(62(a,1),4372(a,1,2)),flip(a)]. 4377 T(x \ (x \ 1),y) = T(x * x,y) \ 1. [hyper(215,a,4373,a,b,3006,a)]. 4378 (x \ (x \ 1)) \ y = (x * x) * y. [hyper(112,a,4,a(flip),b,4373,a)]. 4379 (x * (y * y)) \ x = y \ (y \ 1). [hyper(30,a,4345,a,b,4373,a)]. 4381 T(x * x,y) \ y = ((x * x) / y) \ 1. [hyper(272,a,3455,a,b,4375,a),flip(a)]. 4382 x * (y \ (y \ 1)) = y \ (y \ x). [hyper(58,a,3084,a(flip),b,4375,a)]. 4383 x \ (y \ (y \ x)) = y \ (y \ 1). [hyper(112,a,4375,a(flip),b,3084,a(flip))]. 4384 (x * x) \ (y * y) = y * (x \ (x \ y)). [para(4375(a,1),3368(a,1,2)),flip(a)]. 4385 (x \ (x \ 1)) \ y = (y * x) * x. [hyper(272,a,3252,a,b,4378,a),flip(a)]. 4386 (x * (y * y)) \ x = (y * y) \ 1. [hyper(272,a,3080,a,b,4379,a),flip(a)]. 4387 (x * (x * y)) \ y = x \ (x \ 1). [para(2956(a,1),4379(a,1,1))]. 4388 (x / y) \ ((x / y) \ 1) = ((x / y) * x) \ y. [para(2953(a,1),4379(a,1,1)),flip(a)]. 4389 (x \ y) \ ((x \ y) \ 1) = ((y / x) * y) \ x. [para(4085(a,1),4379(a,1,1)),flip(a)]. 4390 (1 / x) \ ((1 / x) \ y) = y * ((1 / x) \ x). [para(74(a,1),4382(a,1,2,2)),flip(a)]. 4391 (x \ 1) \ ((x \ 1) \ y) = y * ((1 / x) \ x). [para(3653(a,1),4382(a,1,2)),flip(a)]. 4392 (x / y) \ ((x / y) \ 1) = x \ ((x / y) \ y). [para(74(a,1),4383(a,1,2,2)),flip(a)]. 4393 x * (y \ (y \ 1)) != z | y \ (y \ x) = z. [para(4383(a,1),230(a,1,2))]. 4394 (1 / (x * x)) \ y = (y * x) * x. [para(3009(a,2),4385(a,1,1))]. 4395 (x * (y \ (y \ 1))) * (y \ (y \ 1)) = ((y \ (y \ 1)) \ (y * y)) \ x. [para(3019(a,1),4385(a,1,1,2)),flip(a)]. 4396 L(x,y * y,y * y) = x. [hyper(2028,a,4386,a)]. 4397 T(x,(y * y) \ 1) = T(x,y * y). [hyper(3597,a,4396,a),flip(a)]. 4398 L(x,y * y,y * y) != z | x = z. [para(4396(a,1),45(a,2))]. 4399 x / (y \ (y \ 1)) != z | y * (y * x) = z. [para(4387(a,1),280(a,1,2))]. 4400 T(x,(y * y) \ 1) = L(x,y,y). [hyper(272,a,2952,a(flip),b,4397,a),flip(a)]. 4401 T(x,y \ (y \ 1)) = L(x,y,y). [para(3080(a,1),4400(a,1,2))]. 4402 K(x,y \ (y \ 1)) * L(x,y,y) = x. [para(4401(a,1),2658(a,1,2))]. 4403 L(x,y,y) * (x \ z) = K(x,y \ (y \ 1)) * z. [para(4401(a,1),2749(a,1,1))]. 4404 (x \ y) * K(x,z \ (z \ 1)) = T(y / L(x,z,z),x). [para(4401(a,1),4300(a,1,1,2)),flip(a)]. 4405 K(x,y \ (y \ 1)) = a(x,y,y). [hyper(3810,a,4402,a),flip(a)]. 4406 a(x,y \ 1,y \ 1) = K(x,(1 / y) \ y). [para(3653(a,1),4405(a,1,2)),flip(a)]. 4407 T((x * x) \ ((x * x) \ 1),y) = T(x * (x * (x * x)),y) \ 1. [para(2956(a,1),4377(a,2,1,1))]. 4408 T((x * x) \ y,y) = T(x * x,y) \ y. [hyper(272,a,2768,a,b,4381,a)]. 4409 (x * x) \ (y * y) = ((x * x) \ y) * y. [hyper(272,a,3473,a,b,4384,a),flip(a)]. 4410 x \ (x \ (y * y)) = y * (x \ (x \ y)). [hyper(58,a,3563,a(flip),b,4384,a)]. 4411 (x * (y * y)) \ 1 = (y * y) \ (x \ 1). [hyper(2288,a,4408,a)]. 4412 (x * (x * y)) \ 1 = (x * x) \ (y \ 1). [para(2956(a,1),4411(a,1,1))]. 4413 (x * x) \ ((x \ y) \ 1) = (x * y) \ 1. [para(5(a,1),4412(a,1,1,2)),flip(a)]. 4414 (x * x) \ ((y / x) \ 1) = (y / (1 / x)) \ 1. [para(3586(a,1),4412(a,1,1)),flip(a)]. 4415 (x * x) * ((x * y) \ 1) = (x \ y) \ 1. [hyper(127,a,4413,a)]. 4416 (x \ (x \ y)) \ 1 = (x * x) * (y \ 1). [hyper(114,a,141,a(flip),b,4413,a),flip(a)]. 4418 x * ((1 / y) \ y) != z | (y \ 1) \ ((y \ 1) \ x) = z. [para(3653(a,1),4393(a,1,2))]. 4419 x \ (x \ a(x,x,y)) = 1 / T(x * x,y). [para(4210(a,1),3058(a,1,2,2))]. 4420 x \ (x \ a(x,x,y)) = T(x * x,y) \ 1. [hyper(272,a,3374,a(flip),b,4419,a),flip(a)]. 4421 T(x * x,y) \ 1 != x \ z | x \ a(x,x,y) = z. [para(4420(a,1),42(a,1))]. 4422 1 / (x \ L(x,y,z)) = L(x,y,z) \ x. [hyper(2539,a,3064,a),flip(a)]. 4423 (L(x,y,z) \ x) \ 1 = x \ L(x,y,z). [hyper(172,a,4422,a)]. 4424 1 / (x * L(x \ 1,y,z)) = L(1 / x,y,z) \ (1 / x). [para(912(a,1),4422(a,1,2))]. 4425 (L(x,y,z) \ x) \ 1 = a(x \ 1,z,y). [hyper(272,a,1181,a,b,4423,a),flip(a)]. 4427 (x \ 1) * ((L(x,y,z) \ 1) \ 1) = a(x \ 1,z,y). [hyper(58,a,4021,a,b,4425,a)]. 4428 (x \ 1) \ a(x \ 1,y,z) = (L(x,z,y) \ 1) \ 1. [hyper(112,a,4425,a(flip),b,4021,a)]. 4429 (x \ y) / (x * (y / x)) = 1 / T(x,y). [hyper(272,a,3337,a(flip),b,3071,a),flip(a)]. 4430 (x * x) * (x * (x * y)) = x * (x * ((y * x) * x)). [para(3574(a,1),3104(a,1,2))]. 4431 K(x,(y \ z) \ 1) = K(x,z \ y). [hyper(29,a,3662,a(flip),b,3150,a(flip)),flip(a)]. 4432 K(x,(y \ z) \ 1) = x \ T(x,z \ y). [hyper(272,a,2672,a(flip),b,4431,a),flip(a)]. 4433 x * K(y,(z \ u) \ 1) = x * K(y,u \ z). [hyper(114,a,4431,a,b,4,a)]. 4434 K(x,1 / (y \ z)) = K(x,z \ y). [hyper(58,a,2369,a,b,4431,a)]. 4435 T(x,(y \ z) \ 1) = x * K(x,z \ y). [hyper(114,a,4431,a(flip),b,2672,a(flip)),flip(a)]. 4436 (x \ y) \ K(z,y \ x) = T((x \ y) \ 1,z). [hyper(112,a,4431,a(flip),b,2650,a)]. 4437 K(x,(y * z) \ y) = K(x,z \ 1). [para(4(a,1),4431(a,1,2,1)),flip(a)]. 4439 K(x,y \ (y / z)) = K(x,z \ 1). [para(74(a,1),4431(a,1,2,1)),flip(a)]. 4440 K(x,L(y \ 1,z,u) \ 1) = K(x,a(y,u,z) \ y). [para(1184(a,2),4431(a,1,2,1))]. 4441 K(x,(T(y,z) * u) \ y) = K(x,(K(y,z) * u) \ 1). [para(2748(a,1),4431(a,1,2,1)),flip(a)]. 4442 L(x,K(y,z \ u),u \ z) = x. [para(4431(a,1),3399(a,1,2))]. 4443 K(x,(K(y,z) * u) \ 1) = K(x,u \ K(z,y)). [para(3882(a,1),4431(a,1,2,1))]. 4444 L(x,K(y,z),z \ y) = x. [para(3404(a,1),4442(a,1,2))]. 4445 K(x,y) * (((y \ x) * K(x,y)) \ z) = (y \ x) \ z. [hyper(826,a,4444,a)]. 4446 K(x,(y \ z) \ z) = K(x,T(y,z)). [para(3038(a,2),4434(a,1,2)),flip(a)]. 4447 K(x,T(y / z,y)) = K(x,z \ y). [para(3063(a,2),4434(a,1,2))]. 4448 K(x,T(y \ 1,z)) = K(x,z \ (y \ z)). [para(3426(a,1),4434(a,1,2))]. 4449 K(x,T(T(y,z) \ 1,z)) = K(x,y \ 1). [para(2822(a,2),4437(a,1,2))]. 4450 (x * y) * (x / (x * y)) = x * K(x * y,y \ 1). [para(4437(a,1),2985(a,1,2)),flip(a)]. 4451 K(x,(y \ z) / z) = K(x,y \ 1). [para(3308(a,2),4437(a,1,2))]. 4452 K(x,(y / z) \ 1) = K(x,z / y). [para(3309(a,1),4437(a,1,2)),flip(a)]. 4454 K(x,(y \ x) \ x) = K(x,y). [hyper(272,a,2887,a(flip),b,4446,a),flip(a)]. 4455 K(x,T(y,y \ z)) = K(x,T(y,z)). [para(99(a,2),4446(a,1,2))]. 4456 K(x,T(y \ z,z)) = K(x,z / y). [para(2826(a,1),4446(a,1,2)),flip(a)]. 4457 K(x,x / y) = K(x,y \ x). [para(74(a,1),4454(a,1,2,1)),flip(a)]. 4458 (x / y) \ K(z,y / x) = T((x / y) \ 1,z). [hyper(112,a,4452,a(flip),b,2650,a)]. 4459 T(x,(y \ z) \ 1) = T(x,z \ y). [hyper(2736,a,4432,a)]. 4460 K(x,(y \ z) \ 1) != u | K(x,z \ y) = u. [para(4432(a,2),2691(a,1))]. 4462 T((1 / (x \ y)) * z,y \ x) = z / (x \ y). [hyper(58,a,1979,a(flip),b,4459,a),flip(a)]. 4463 (x \ y) * T(z,y \ x) = z / ((x \ y) \ 1). [hyper(114,a,4459,a(flip),b,2928,a)]. 4464 T(x,(y * z) \ y) = T(x,z \ 1). [para(4(a,1),4459(a,1,2,1)),flip(a)]. 4465 T(x,(y * (z * u)) \ (y * z)) = T(x,L(u,z,y) \ 1). [para(13(a,2),4459(a,1,2,1)),flip(a)]. 4466 T(x,T(y,z) \ 1) = T(x,(y * z) \ z). [para(17(a,2),4459(a,1,2,1))]. 4467 T(x,y \ (y / z)) = T(x,z \ 1). [para(74(a,1),4459(a,1,2,1)),flip(a)]. 4469 T(x,y \ z) * (z \ y) = (1 / (z \ y)) \ x. [para(4459(a,1),1972(a,1,1))]. 4470 T(T(x,y \ z),z \ y) != u | L(x,y \ z,y \ z) = u. [para(4459(a,1),2039(a,1))]. 4471 T(x,(y * (z \ 1)) \ 1) = T(x,y \ T(z,y)). [para(2935(a,1),4459(a,1,2,1))]. 4472 T(x,y \ z) * (1 / (y \ z)) = T(x,z \ y) / (y \ z). [para(4459(a,1),2926(a,1,1)),flip(a)]. 4473 T(x,(((y * y) * z) \ u) \ 1) = T(x,u \ ((z * y) * y)). [para(3281(a,1),4459(a,1,2,1))]. 4474 T(x,(K(y,z) * u) \ 1) = T(x,u \ K(y,z)). [para(3901(a,1),4459(a,1,2,1))]. 4475 (x \ y) * T(z,y \ x) != u | z / ((x \ y) \ 1) = u. [para(4459(a,1),3245(a,1,2))]. 4476 T(x * y,y \ 1) = ((x * y) \ x) \ x. [hyper(570,a,4464,a),flip(a)]. 4477 ((x * y) \ x) * T(z,y \ 1) = z * ((x * y) \ x). [hyper(114,a,4464,a(flip),b,17,a(flip))]. 4478 T(x,(y / z) \ 1) = T(x,z / y). [para(3309(a,1),4464(a,1,2)),flip(a)]. 4479 T(x,y / (z * y)) = T(x,z \ 1). [para(3305(a,2),4467(a,1,2))]. 4480 (x / y) * T(z,y / x) = z / ((x / y) \ 1). [hyper(114,a,4478,a(flip),b,2928,a)]. 4481 T(x,y / z) * (z / y) = (1 / (z / y)) \ x. [para(4478(a,1),1972(a,1,1))]. 4482 T(x,T(y \ z,z)) = T(x,z / y). [para(2768(a,2),4478(a,1,2))]. 4483 T(x,y / (y / z)) = T(x,T(z,y)). [para(2909(a,2),4478(a,1,2)),flip(a)]. 4486 T(x,T(y,y \ z)) = T(x,T(y,z)). [para(2766(a,2),4483(a,1,2))]. 4487 T(x,T(y / z,y)) = T(x,z \ y). [para(557(a,1),4486(a,1,2)),flip(a)]. 4488 T(x,(y \ z) \ 1) != u | T(x,z \ y) = u. [para(4435(a,2),2737(a,1))]. 4489 K(x,(y * z) \ z) = K(x,z \ (y \ z)). [para(2258(a,1),4448(a,1,2))]. 4490 K(x,T(y \ 1,z)) = K(x,T(y,z) \ 1). [para(2999(a,2),4448(a,2,2))]. 4491 T(x,T(y \ 1,z)) = T(x,T(y,z) \ 1). [para(2258(a,2),4466(a,2,2)),flip(a)]. 4496 K(x \ y,x) * K(z,y / x) = x \ (y / T(y / x,z)). [hyper(112,a,3931,a(flip),b,3158,a(flip)),flip(a)]. 4498 (x * T(x \ y,z)) / y = K(1 / (x / y),z). [hyper(272,a,2419,a,b,3165,a),flip(a)]. 4500 K(((x \ 1) / (x \ y)) \ 1,z) * (x \ y) = x \ T(y,z). [hyper(272,a,883,a(flip),b,3169,a),flip(a)]. 4502 K((x / (x * y)) \ 1,z) * (x * y) = x * T(y,z). [para(4(a,1),3169(a,2,2,1))]. 4503 ((x \ y) \ y) * x = x * ((x \ y) \ y). [hyper(114,a,2800,a,b,3173,a),flip(a)]. 4504 (x / y) \ K(y,y \ x) = (y \ x) \ 1. [hyper(340,a,3186,a)]. 4505 (K(x,y) * T(z,x)) / (x \ 1) = x \ ((x * T(x,y)) * z). [hyper(113,a,3205,a(flip),b,1130,a)]. 4507 ((x * x) \ y) / (y / x) = 1 / T(x,x \ y). [para(2235(a,1),3262(a,2,2))]. 4508 (x * (x * x)) * y = x * ((y * x) * x). [para(3367(a,1),3274(a,1,1))]. 4509 (x * (x * x)) \ (x * ((y * x) * x)) = y. [hyper(117,a,4508,a)]. 4510 (x * ((x * x) * y)) / y = x * (x * x). [hyper(113,a,3280,a(flip),b,4508,a)]. 4511 (x * ((y * x) * x)) * ((x * (x * x)) \ 1) = T(y,(x * (x * x)) \ 1). [para(4508(a,1),378(a,1,1))]. 4512 (T(x,x \ 1) * (T(x,x \ 1) * T(x,x \ 1))) * y = T(x,x \ 1) * T(x * (y * T(x,x \ 1)),x \ 1). [para(3878(a,2),4508(a,2,2))]. 4513 (x * (x * x)) * y != z | x * ((y * x) * x) = z. [para(4509(a,1),230(a,1,2))]. 4514 (x * ((x * x) * y)) / y != z | x * (x * x) = z. [para(4510(a,2),2958(a,1))]. 4515 (x * x) / ((y * x) * x) = 1 / L(y,x,x). [hyper(272,a,3789,a(flip),b,3286,a),flip(a)]. 4516 (x * x) \ (1 / L(y,x,x)) = 1 / ((y * x) * x). [hyper(112,a,4515,a(flip),b,3329,a)]. 4517 ((x \ 1) * y) * (x \ 1) = (x \ y) / x. [hyper(272,a,3530,a(flip),b,3340,a),flip(a)]. 4518 ((x \ 1) * y) * (x \ 1) != z | (x \ y) / x = z. [para(3340(a,2),3536(a,1))]. 4519 (x \ (T(y,x \ 1) \ 1)) / x = (y \ (x \ 1)) * (x \ 1). [para(3006(a,1),4517(a,1,1)),flip(a)]. 4520 x / ((x \ 1) * (y \ 1)) = ((x \ 1) \ y) * x. [para(4125(a,1),3341(a,1,1)),flip(a)]. 4521 ((x \ 1) * T(y,x)) \ x = x * ((y \ 1) * x). [para(4283(a,1),3345(a,1,2)),flip(a)]. 4522 K(x,y) * ((x \ 1) * z) = (T(x,y) \ 1) * z. [para(2656(a,2),3407(a,2,1))]. 4523 (x * x) * ((x \ 1) * y) = T(x,x \ 1) * y. [para(239(a,1),3419(a,1,2,1))]. 4524 T(x * ((1 / y) * (1 / y)),y) = (y \ 1) * (x / y). [para(3431(a,2),3127(a,1,1))]. 4525 x * (L(x,y,z) * (1 / x)) = L(L(x,y,z),x,x). [hyper(114,a,3453,a,b,2969,a)]. 4526 x \ (x \ T(x * x,y)) = a(x,x,y) \ 1. [para(4210(a,1),3476(a,2,1))]. 4527 a(x,x,y) \ 1 = a(x,x,y). [hyper(58,a,4224,a(flip),b,4526,a),flip(a)]. 4528 ((1 / x) \ y) / y = 1 / ((x \ y) / y). [para(3048(a,1),3484(a,1,2)),flip(a)]. 4529 1 / ((x \ y) / y) = (y * (1 / x)) \ y. [hyper(3312,a,4528,a),flip(a)]. 4530 1 / ((x * y) \ x) = (x * (1 / y)) \ x. [para(3308(a,1),4529(a,1,2))]. 4531 x * (x * ((x \ 1) \ (y / x))) = ((x \ 1) \ y) * x. [hyper(58,a,3108,a,b,3504,a)]. 4532 ((x \ 1) \ (y * T(y,x))) * x = (x * x) * (x * ((y / x) * y)). [para(4083(a,1),3504(a,1,2,2)),flip(a)]. 4533 ((x * (y * (1 / x))) \ (1 / x)) * (1 / x) = (y / (1 / x)) \ (1 / x). [para(3575(a,1),3299(a,1,1,1))]. 4534 (1 / x) * (((1 / x) \ y) * ((1 / x) \ y)) = x * ((y * ((1 / x) \ y)) * (1 / x)). [para(3277(a,1),3575(a,1,2))]. 4535 (x \ 1) * (y / (x \ 1)) = x * (y * (1 / x)). [hyper(272,a,3829,a(flip),b,3590,a),flip(a)]. 4536 (x * (y \ 1)) / y = x * (y \ (1 / y)). [hyper(58,a,3027,a(flip),b,3592,a),flip(a)]. 4537 x * (((x \ 1) * y) * (1 / x)) = y * (x \ 1). [hyper(32,a,3338,a,b,3592,a(flip))]. 4538 (x \ 1) * ((x \ 1) * T(y,x)) = (x \ y) / x. [para(676(a,1),3592(a,2,1))]. 4539 (x \ 1) * ((x \ 1) * (x \ y)) = (x \ (y / x)) / x. [para(684(a,1),3592(a,2,1))]. 4540 x * (y * ((x \ 1) * (x \ 1))) = (x * y) * (x \ (1 / x)). [hyper(58,a,1133,a,b,4536,a)]. 4541 (x \ y) * (x \ (1 / x)) = (x \ (y / x)) / x. [para(684(a,1),4536(a,1,1)),flip(a)]. 4542 (x / y) * (y \ (1 / y)) = (y \ (y \ x)) / y. [para(2835(a,1),4536(a,1,1)),flip(a)]. 4543 (x * (y \ (1 / y))) / y = y \ (y \ (x / y)). [para(4536(a,1),3581(a,1,1))]. 4544 ((x \ 1) \ 1) \ (((1 / x) * (1 / x)) * y) = (1 / x) * ((1 / x) * ((1 / x) * y)). [para(2898(a,1),3636(a,1,1))]. 4545 (x * x) * T(1 / x,y) = T(x,x * y). [hyper(272,a,3398,a(flip),b,3643,a),flip(a)]. 4547 T(x,y * ((1 / z) \ u)) = T(x,y * ((z \ 1) \ u)). [para(1942(a,1),3647(a,1,2,2)),flip(a)]. 4551 T(x * y,K(y,z)) = y * T(x,T(y,z)). [hyper(58,a,3210,a(flip),b,3672,a),flip(a)]. 4552 T((1 / L(T(x,y),z,u)) * x,K(x,y)) = x * (L(T(x,y),z,u) \ 1). [para(2525(a,1),4551(a,2,2))]. 4553 T(x,K(y,z)) / y = T(y \ x,T(y,z)). [hyper(58,a,3198,a(flip),b,3687,a),flip(a)]. 4554 T(x,K(T(y,z),z)) / T(y,z) = T(T(y,z) \ x,y). [para(2765(a,1),4553(a,2,2))]. 4555 (x \ (T(y,x) * (1 / x))) / x = x \ (x \ (y / x)). [para(3530(a,2),3723(a,1,1))]. 4556 T(x * (y \ x),y) = (x / y) * x. [hyper(58,a,2953,a(flip),b,3725,a),flip(a)]. 4557 (x * (y \ x)) * y = y * ((x / y) * x). [hyper(114,a,4556,a(flip),b,17,a(flip)),flip(a)]. 4558 x * ((y / x) * y) != z | (y * (x \ y)) * x = z. [para(4556(a,1),248(a,1,2))]. 4559 x * ((y * T(y,x)) / x) = (y * (x \ y)) * x. [para(4083(a,2),4557(a,2,2)),flip(a)]. 4560 T(x * (x * (x * y)),x) = (x * x) * (y * x). [hyper(272,a,3275,a(flip),b,3747,a),flip(a)]. 4561 (((x \ 1) \ 1) * y) * T(y,x \ 1) = (y / (1 / x)) * y. [para(3766(a,1),1234(a,1,1)),flip(a)]. 4562 T(x,y \ 1) / (1 / y) = ((y \ 1) \ 1) * x. [para(2765(a,1),3766(a,1,2)),flip(a)]. 4563 (x \ (y * y)) \ 1 = y \ ((x \ y) \ 1). [hyper(112,a,3464,a(flip),b,3772,a),flip(a)]. 4564 (T(1 / x,y) \ (y * y)) \ 1 = y \ ((y * x) \ 1). [para(2996(a,1),4563(a,2,2,1))]. 4565 T(T(x,y),x * y) != z | R(x,x,y) = z. [para(3781(a,1),457(a,1))]. 4566 T(x * y,y) / x = R(y,y,x). [hyper(4565,a,4036,a(flip)),flip(a)]. 4567 K(x \ 1,x * (y * x)) != z | K(x,x \ y) = z. [para(3819(a,2),3584(a,1))]. 4568 T(T(x,y) * (1 / y),y \ 1) = x * (1 / y). [hyper(272,a,4278,a(flip),b,3839,a),flip(a)]. 4569 (((x \ 1) \ 1) \ y) / (x \ 1) = x * (y * (1 / x)). [hyper(113,a,3839,a(flip),b,378,a)]. 4570 (1 / x) \ (((x \ 1) \ 1) \ y) = (y * (1 / x)) * x. [hyper(112,a,3839,a(flip),b,3033,a)]. 4571 (x * ((y / z) / x)) * z = y * K(x,(x * z) \ y). [hyper(272,a,1527,a(flip),b,3840,a)]. 4573 x \ T(x * y,z) != y * u | K((x \ 1) \ y,z) = u. [para(3844(a,2),38(a,1))]. 4575 T(x \ 1,y * (x \ 1)) \ z = K(y,x) * ((x \ 1) \ z). [para(2372(a,1),3951(a,1,1)),flip(a)]. 4576 T(x \ y,z * (x \ y)) \ u = K(z,y \ x) * ((x \ y) \ u). [para(4431(a,1),3951(a,1,1)),flip(a)]. 4577 (x \ 1) * (T(x,x * y) \ z) = T(x \ 1,y) * (x \ z). [para(3952(a,1),2661(a,1,2))]. 4578 ((x \ y) \ y) \ (x \ y) = x \ (y / x). [hyper(112,a,2827,a(flip),b,3956,a),flip(a)]. 4579 K(x,x \ y) * L((x \ y) \ y,z,u) = x * a(((x \ y) \ y) \ 1,u,z). [para(1181(a,2),3956(a,1,2)),flip(a)]. 4580 (x \ (y \ x)) * (y \ x) = y \ (x / y). [hyper(3303,a,4578,a)]. 4581 (T(x,y) \ 1) * (x \ y) = x \ (y / x). [para(2999(a,2),4580(a,1,1))]. 4582 ((x \ y) * (x \ y)) \ (x \ (y / x)) != z | (y \ (x \ y)) / (x \ y) = z. [para(4580(a,1),3273(a,1,2))]. 4583 (x / (x / y)) * ((x / y) * z) = y * ((y \ x) * z). [para(3957(a,1),3158(a,2,2))]. 4585 L(x,y,x) * K(x * y,x) = x * K(y,x). [para(3595(a,1),3973(a,1,1))]. 4586 (x * K(y,x)) \ L(x,y,x) = K(x,x * y). [para(4585(a,1),3899(a,1,1))]. 4587 (x \ y) * (T(x,z) \ 1) = x \ (y / T(x,z)). [para(2656(a,2),3993(a,1,2))]. 4588 (x \ 1) * T(y * x,x) = K(x,x \ 1) * y. [hyper(58,a,2917,a,b,4003,a)]. 4589 K(x,x \ y) * (z * (y / x)) = (x \ y) * T(z,y / x). [para(17(a,2),4003(a,1,2)),flip(a)]. 4590 ((x * y) * (x * y)) / y = x * ((1 / y) \ x). [hyper(272,a,2917,a(flip),b,4039,a),flip(a)]. 4591 ((x \ 1) * y) * T((x \ z) * (1 / x),x \ 1) = ((x \ 1) * (y * (z * (1 / x)))) * (x \ 1). [para(4060(a,1),1158(a,1,2,1))]. 4592 (x * y) * T(y,y \ 1) = (1 / y) \ (y * x). [hyper(1247,a,4068,a)]. 4593 T(x,y) * K(y,y * x) = L(x,y,y). [hyper(272,a,3136,a(flip),b,4091,a),flip(a)]. 4594 T(x,y) * T(y * x,y) = L(x,y,y) * (y * x). [para(4593(a,1),3711(a,1,1)),flip(a)]. 4595 T(x \ y,y \ 1) = (y \ T(x,y)) \ 1. [hyper(215,a,3042,a(flip),b,4099,a)]. 4596 ((x \ y) \ T(z,x \ y)) \ 1 = T(z \ (x \ y),y \ x). [hyper(4488,a,4595,a),flip(a)]. 4597 ((x \ 1) * (y / x)) \ 1 = (x \ 1) \ (y \ x). [hyper(112,a,2257,a(flip),b,4152,a),flip(a)]. 4598 T((x * y) \ 1,y \ 1) = y \ (T(x,y \ 1) \ 1). [para(3033(a,1),4163(a,1,2,1)),flip(a)]. 4599 L(1 / ((x / y) * x),x \ y,x \ y) = (x \ y) * (1 / x). [para(4171(a,1),2967(a,1,1))]. 4600 (((x \ 1) \ y) \ 1) \ x = x / (x \ (1 / y)). [para(4104(a,2),4188(a,1,1))]. 4601 (x * x) \ (1 / (x * y)) = x \ (1 / (x * (y * x))). [hyper(112,a,4189,a(flip),b,3527,a),flip(a)]. 4602 (x * x) \ ((x / y) * (1 / x)) = x \ (1 / (x * y)). [hyper(58,a,3571,a,b,4199,a)]. 4603 x * ((1 / (x * y)) / x) = x \ (x \ (x / y)). [hyper(32,a,2805,a,b,4199,a)]. 4604 x \ (x / (1 / (T(y,x) / x))) = T(1 / (x / y),x \ 1). [para(4276(a,2),4200(a,1,2,2))]. 4605 L(x * (y * x),x * (y * x),x * (y * x)) = ((x * y) \ 1) \ x. [hyper(2016,a,4202,a)]. 4606 (x * (y \ (1 / y))) * (z * x) = x * (((y \ (1 / y)) * z) * x). [para(4287(a,1),27(a,1,1))]. 4607 (x * ((x \ 1) \ y)) \ 1 = y \ (x \ (1 / x)). [para(4045(a,1),4288(a,1,1))]. 4608 K(x,y) * T(T(x,y) * z,x) = T(x * z,x). [hyper(3909,a,4295,a)]. 4609 x \ (y * T(x,z)) = T(y,x) * K(x,z). [para(3664(a,1),4301(a,1,2))]. 4610 T(x * y,y) * K(y,z) = T(x * T(y,z),y). [hyper(1242,a,4609,a),flip(a)]. 4611 T(x * K(y,z),y) = T(x,y) * K(y,z). [hyper(58,a,3700,a,b,4609,a)]. 4612 K(x,y) * (T(z,x) * K(x,u)) = T(x,y) \ (z * T(x,u)). [para(4609(a,1),3886(a,1,2))]. 4614 x \ T(x * K(y,z),y) = K(x,y) * K(y,z). [hyper(112,a,4611,a,b,2687,a)]. 4615 (1 / x) \ (y / T(x,z)) = T(y,x) * K(x,z). [hyper(58,a,3991,a,b,4611,a)]. 4616 (T(x,y) * K(y,z)) * y = y * (x * K(y,z)). [para(4611(a,1),2778(a,1,1))]. 4617 (x * (y / T(x,z))) * T(x,z) = (x * (y / x)) * x. [para(3697(a,1),4312(a,1,1,2)),flip(a)]. 4618 ((x * y) * (x * y)) / y != z * u | (x * T(x * y,y)) / u = z. [para(4322(a,1),276(a,1,1))]. 4619 (x * ((1 / y) \ x)) * y = (x * y) * (x * y). [para(2773(a,1),4322(a,1,1,2))]. 4620 (x \ (1 / y)) * y = y * ((x * y) \ 1). [hyper(58,a,3734,a(flip),b,4367,a),flip(a)]. 4621 T(x \ (1 / y),y) = (x * y) \ 1. [hyper(215,a,4367,a(flip),b,3734,a(flip))]. 4623 ((x * y) * y) \ y = x \ (1 / y). [hyper(2904,a,4621,a)]. 4624 T((x * y) \ 1,y) = x \ (1 / y). [hyper(2782,a,4621,a)]. 4625 (1 / x) * (y \ (1 / x)) = ((y * x) \ 1) / x. [hyper(113,a,4621,a(flip),b,365,a(flip)),flip(a)]. 4626 T(x,y) != (z * y) \ 1 | z \ (1 / y) = x. [para(4621(a,1),44(a,1)),flip(a)]. 4627 ((x * y) \ 1) * (y \ 1) = y \ (x \ (1 / y)). [para(4621(a,1),676(a,1,1))]. 4628 ((x * y) \ 1) * (y \ 1) != z | y \ (x \ (1 / y)) = z. [para(4621(a,1),690(a,1,1))]. 4629 ((x * y) \ 1) * y = y * (x \ (1 / y)). [para(4621(a,1),2778(a,1,1))]. 4630 ((x * x) * y) \ x = y \ (1 / x). [hyper(58,a,3281,a(flip),b,4623,a)]. 4631 ((x * x) \ y) \ (1 / x) = y \ x. [hyper(298,a,4630,a),flip(a)]. 4632 x / (y \ (1 / x)) = (x * x) * y. [hyper(178,a,4630,a)]. 4633 ((x / ((x * x) * y)) \ 1) \ x = x * (y \ (1 / x)). [para(4630(a,1),3446(a,2,2))]. 4634 x / ((1 / y) \ (1 / x)) = (x * x) / y. [hyper(272,a,3329,a(flip),b,4632,a),flip(a)]. 4635 (x * x) * ((1 / x) / y) = x / y. [para(74(a,1),4632(a,1,2)),flip(a)]. 4636 ((x * x) * y) \ x != z | y \ (1 / x) = z. [para(4632(a,1),290(a,1,1))]. 4637 x / (1 / (x * (1 / y))) = (x * x) * (y \ 1). [para(4149(a,2),4632(a,1,2))]. 4638 (x * x) \ (x / y) = (1 / x) / y. [hyper(117,a,4635,a)]. 4639 (x \ 1) * (x / y) = x * ((1 / x) / y). [hyper(114,a,4635,a(flip),b,3523,a)]. 4641 (1 / x) / T(y,x) = (1 / y) / x. [hyper(58,a,3782,a(flip),b,4638,a)]. 4642 (1 / x) \ ((1 / x) / y) = x \ (x / y). [hyper(112,a,4638,a(flip),b,3261,a)]. 4644 ((1 / x) / y) / (x \ 1) = (x / y) * (1 / x). [para(4638(a,1),4054(a,1,1))]. 4645 (1 / (x / y)) / y = (1 / y) / (y \ x). [para(100(a,1),4641(a,1,2)),flip(a)]. 4646 (1 / (x \ y)) / x = (1 / x) / (y / x). [para(2775(a,1),4641(a,1,2)),flip(a)]. 4647 (1 / (x \ 1)) / (T(x,x \ 1) * y) = (1 / (y * x)) / (x \ 1). [para(4043(a,1),4641(a,1,2))]. 4648 (x \ (y \ 1)) / y = (y * x) \ (1 / y). [hyper(113,a,4346,a(flip),b,4620,a)]. 4649 x * (T(y,x) \ (1 / x)) = ((x * y) \ 1) * x. [para(2778(a,1),4629(a,1,1,1)),flip(a)]. 4650 x / (1 / (x * (y \ 1))) = (x * x) / y. [para(4096(a,2),4634(a,1,2))]. 4651 (x \ 1) / (x * ((1 / x) / y)) = T(1 / (x / y),x \ 1). [para(4639(a,1),3031(a,2,2)),flip(a)]. 4652 (1 / x) / (y / x) = (1 / x) * (x / y). [hyper(58,a,3065,a(flip),b,4646,a),flip(a)]. 4653 (x * x) / (1 / y) = x / (1 / (x * y)). [para(74(a,1),4650(a,1,2,2,2)),flip(a)]. 4654 L((x * y) * y,x,x) = y / (1 / (y * x)). [hyper(58,a,3287,a,b,4653,a)]. 4655 T(x * x,x * (x * y)) = T(x * x,y). [hyper(272,a,3023,a(flip),b,4376,a),flip(a)]. 4656 T(x * x,x \ y) = T(x * x,x * y). [para(5(a,1),4655(a,1,2,2)),flip(a)]. 4657 (x \ y) \ ((x \ y) \ z) = z * (((y / x) * y) \ x). [hyper(114,a,4389,a(flip),b,4383,a),flip(a)]. 4658 ((x \ y) * (x \ y)) \ z = (((y / x) * y) \ x) * z. [para(4389(a,1),4373(a,1,1)),flip(a)]. 4659 T((1 / x) \ y,x \ 1) * x = y * ((1 / x) \ x). [hyper(58,a,1972,a,b,4390,a)]. 4660 ((x / y) * x) \ y = x \ ((x / y) \ y). [hyper(58,a,4388,a(flip),b,4392,a)]. 4661 (x \ 1) * ((y / x) \ 1) = x * ((y / (1 / x)) \ 1). [hyper(114,a,4414,a(flip),b,3525,a),flip(a)]. 4662 (x \ y) \ ((1 / (y \ x)) * z) = (z / (y \ x)) * ((x \ y) \ 1). [para(4462(a,1),676(a,1,1)),flip(a)]. 4663 T(x * ((y \ z) \ 1),z \ y) = (y \ z) \ x. [hyper(112,a,6,a(flip),b,4463,a),flip(a)]. 4664 ((x \ y) * z) / ((y \ x) \ 1) = (y \ x) * (z / ((x \ y) \ 1)). [hyper(58,a,694,a(flip),b,4463,a),flip(a)]. 4665 T(T(x,y \ z),z \ y) = L(x,z \ y,z \ y). [hyper(215,a,4469,a,b,2000,a)]. 4667 (x * T(x \ y,z)) / y = K(z,1 / (x / y)). [hyper(272,a,28,a,b,4498,a),flip(a)]. 4668 T(1 / T(x,x \ y),y / x) != z | (y / x) \ ((x * x) \ y) = z. [para(4507(a,1),581(a,1,1))]. 4669 ((1 / x) / y) \ y = ((y \ 1) \ x) * y. [hyper(58,a,4024,a(flip),b,4520,a)]. 4670 ((x \ 1) \ (y \ 1)) * x = (y / x) \ x. [para(72(a,1),4669(a,1,1,1)),flip(a)]. 4671 ((x \ 1) \ K(y,z)) * x = (K(y,z) / x) \ x. [para(2884(a,1),4669(a,1,1,1)),flip(a)]. 4672 x * (((y \ 1) \ 1) * x) = ((x * y) \ 1) \ x. [para(4156(a,1),4521(a,1,1)),flip(a)]. 4673 K(x,y) * (x * (z / x)) = (T(x,y) \ 1) * (z * x). [para(3541(a,1),4522(a,1,2))]. 4674 (x \ 1) * T(x * y,x) = x * (y * (1 / x)). [hyper(58,a,694,a,b,4535,a)]. 4675 x * ((x \ y) * (1 / x)) = (x \ 1) * T(y,x). [para(678(a,2),4535(a,1,2)),flip(a)]. 4676 ((x \ 1) * y) * (1 / x) = (x \ 1) * (y / x). [hyper(29,a,3743,a,b,4537,a),flip(a)]. 4677 (x \ 1) * ((x * y) \ 1) = (x \ (y \ 1)) / x. [para(4156(a,1),4538(a,1,2))]. 4678 (x \ (1 / x)) / x = x \ (x \ (1 / x)). [hyper(58,a,4286,a(flip),b,4541,a),flip(a)]. 4679 ((x \ (1 / x)) \ x) * T(y,(x \ (1 / x)) / x) = y / (((x \ (1 / x)) \ x) \ 1). [para(4678(a,2),4463(a,1,2,2))]. 4680 (x / y) * (1 / y) = x * (y \ (1 / y)). [hyper(32,a,3534,a,b,4543,a)]. 4682 ((x \ 1) * y) * (x \ (1 / x)) = (x \ (y / x)) * (1 / x). [para(3582(a,1),4680(a,1,1)),flip(a)]. 4683 (x * (y \ (1 / y))) * K(z,1 / y) = (x / y) * T(1 / y,z). [para(4680(a,1),3659(a,1,1))]. 4684 x \ (y * T(y,x)) = y * (x \ y). [hyper(2832,a,4559,a)]. 4685 x * (y * (x \ y)) = y * T(y,x). [hyper(127,a,4684,a)]. 4686 (1 / x) * ((x * y) * (x * ((x \ 1) \ y))) = (x * y) * T(x * y,1 / x). [para(725(a,1),4685(a,1,2,2))]. 4687 (x * T(x,y)) * y = (y * x) * T(x,y). [para(4685(a,1),1151(a,1,1))]. 4688 (x * y) * T(x * y,y * y) = (y * y) * ((x * y) * (x / y)). [para(3263(a,1),4685(a,1,2,2)),flip(a)]. 4689 (x * x) * ((x * y) * ((1 / x) * y)) = (x * y) * T(x * y,x * x). [para(3353(a,1),4685(a,1,2,2))]. 4690 x * ((x / (y \ 1)) * ((x * (1 / y)) \ x)) = (x / (y \ 1)) * T(x / (y \ 1),x). [para(4094(a,2),4685(a,1,2,2))]. 4691 (x \ (x \ y)) * T(x \ (x \ y),y) = y * ((x \ (x \ y)) * (x \ (x \ 1))). [para(4383(a,1),4685(a,1,2,2)),flip(a)]. 4692 (x * T(x,y)) * y = (x * y) * x. [hyper(272,a,657,a(flip),b,4687,a),flip(a)]. 4693 ((x * y) * x) / y = x * T(x,y). [hyper(113,a,657,a(flip),b,4687,a)]. 4694 ((x / y) * T(x / y,y)) * y = x * (x / y). [hyper(272,a,135,a(flip),b,4692,a),flip(a)]. 4695 T(x * T(x,y \ 1),y) = y * ((x * (y \ 1)) * x). [hyper(114,a,4692,a(flip),b,2789,a),flip(a)]. 4696 ((1 / x) \ (y * T(y,x))) * x = x * ((y * x) * y). [para(4692(a,1),366(a,2,2))]. 4697 T((x * T(x,y)) \ 1,y) = ((x * y) * x) \ y. [para(4692(a,1),2258(a,2,1))]. 4698 x * ((1 / x) \ (y * T(y,x))) = ((y * x) * y) * x. [para(4692(a,1),2847(a,2,1))]. 4699 (((x * y) \ x) * T((x * y) \ x,x)) * x = (y \ x) * ((x * y) \ x). [para(3299(a,1),4692(a,2,1))]. 4700 ((x \ 1) * T(x \ 1,(y \ 1) \ 1)) * ((y \ 1) \ 1) = ((y \ x) \ 1) * (x \ 1). [para(4021(a,1),4692(a,2,1))]. 4702 (T(x,y \ 1) * T(y,y \ 1)) / (x / y) = T(y,y \ 1) * T(T(y,y \ 1),x / y). [para(3786(a,1),4693(a,1,1,1))]. 4703 (x * (x * (x * y))) * x = x * ((x * x) * (y * x)). [hyper(114,a,4560,a(flip),b,17,a(flip)),flip(a)]. 4704 T(x * (1 / L(x,y,z)),L(x,y,z) \ 1) = x * (1 / L(x,y,z)). [para(156(a,1),4568(a,1,1,1))]. 4705 x \ (((x \ 1) \ 1) * y) = (x \ 1) * T(y * x,x). [hyper(272,a,3173,a,b,4588,a)]. 4706 x * (x * (y * ((1 / (x * x)) \ y))) = (y * (x * x)) * (y * (x * x)). [hyper(3012,a,4590,a)]. 4707 T((1 / x) * (y * x),y * x) = (y * x) \ (y * ((1 / x) \ y)). [hyper(359,a,4590,a(flip),b,3029,a)]. 4708 (x * x) \ ((y * x) * (y * x)) = (y * ((1 / x) \ y)) / x. [hyper(113,a,4590,a(flip),b,3250,a),flip(a)]. 4709 ((x * ((1 / y) \ x)) / ((x * y) * (x * y))) \ 1 = T(y,(x * y) * (x * y)). [para(4590(a,1),2909(a,2,1,1)),flip(a)]. 4710 (x * y) * T(y,y \ 1) = y * ((y \ 1) \ x). [hyper(272,a,725,a(flip),b,4592,a),flip(a)]. 4711 (((T(x,y) \ 1) \ 1) * (y / (T(x,y) \ 1))) \ 1 = ((T(x,y) \ 1) \ 1) \ (x \ (y \ 1)). [para(4347(a,1),4597(a,2,2))]. 4713 x \ (x \ (x / (x \ y))) = x * ((1 / y) / x). [para(5(a,1),4603(a,1,2,1,2)),flip(a)]. 4714 K(x,y) * T(x * z,x) != u | T(T(x,y) * z,x) = u. [para(4608(a,1),3919(a,1,2))]. 4715 ((1 / x) \ y) * K(x,z) = T(y * T(x,z),x). [hyper(58,a,2919,a(flip),b,4610,a)]. 4716 T(x,y) * T(y,z) = y * (x * K(y,z)). [hyper(3701,a,4616,a)]. 4717 x \ (y * (T(x,z) * x)) = x * (y * K(x,z)). [hyper(58,a,1258,a,b,4716,a)]. 4718 (x * (y \ 1)) * (x * (y \ 1)) = (x * (y \ x)) * (y \ 1). [para(72(a,1),4619(a,1,1,2,1)),flip(a)]. 4720 ((x * y) * (x * ((x \ 1) \ y))) * x = ((x * y) * x) * ((x * y) * x). [para(725(a,1),4619(a,1,1,2))]. 4721 x / (1 / (x * (1 / (x * y)))) = (x \ y) \ 1. [hyper(272,a,4415,a(flip),b,4637,a),flip(a)]. 4722 T(x \ y,z * ((y \ x) \ 1)) \ (z * ((y \ x) \ 1)) = (x \ y) \ ((y \ x) \ z). [hyper(112,a,4663,a(flip),b,2228,a),flip(a)]. 4723 (((x * y) * z) * T(((x * y) * z) \ (y * z),u)) / (y * z) = K(u,1 / R(x,y,z)). [para(15(a,2),4667(a,2,2,2))]. 4724 T(x * (x * K(y,z)),x) = (K(y,z) / x) \ x. [hyper(58,a,3144,a,b,4671,a)]. 4725 ((x * (y \ 1)) \ 1) \ x = x * ((1 / y) * x). [para(2826(a,1),4672(a,1,2,1)),flip(a)]. 4726 (x * (1 / (x * y))) \ 1 = x * (y * (1 / x)). [hyper(58,a,4154,a,b,4674,a)]. 4727 (x \ (y \ 1)) * (1 / x) = x \ ((x * y) \ 1). [hyper(112,a,4156,a(flip),b,4675,a),flip(a)]. 4728 (x \ 1) * T(y,x) != x * z | (x \ y) * (1 / x) = z. [para(4675(a,1),38(a,1))]. 4729 ((x \ y) * (y / x)) * x = y * (y / x). [para(303(a,1),4694(a,1,1))]. 4730 (x * (x / y)) / y = (y \ x) * (x / y). [hyper(122,a,4729,a)]. 4731 T(x \ (T(x,y) \ 1),y) = ((x * y) * x) \ y. [para(4048(a,1),4697(a,1,1))]. 4732 (x * y) * ((y \ 1) \ 1) = y * ((y \ 1) \ x). [hyper(58,a,269,a(flip),b,4710,a)]. 4734 x \ (y * (x * T(x,z))) = x * (y * K(x,z)). [para(218(a,1),4717(a,1,2,2))]. 4735 T(x * T(x,y),x) = (K(x,y) / x) \ x. [para(2674(a,2),4724(a,1,1,2))]. 4736 a((x * (y * (1 / x))) \ 1,z,u) = a(x * (1 / (x * y)),z,u). [para(4726(a,1),2512(a,1,1,1))]. 4737 x * ((x \ 1) \ (y / x)) = y * ((x \ 1) \ 1). [hyper(278,a,4732,a),flip(a)]. 4739 x * (x * (y * K(x,z))) = y * (x * T(x,z)). [hyper(127,a,4734,a)]. 4740 (x \ y) * (x * T(x,z)) = x * (y * K(x,z)). [hyper(114,a,4299,a(flip),b,4734,a),flip(a)]. 4742 (1 / x) * (y * ((x \ 1) \ 1)) = x * (y / x). [hyper(114,a,4737,a(flip),b,725,a)]. 4743 (1 / x) * ((x \ y) \ 1) = x * ((y \ 1) / x). [para(4021(a,1),4742(a,1,2))]. 4744 T(x,y * y) = R(x,y,y). [hyper(3258,a,2790,a)]. 4745 (x * (K(y * z,x) * y)) * z = (y * z) * R(x,y,z). [para(2661(a,2),2790(a,1,1))]. 4746 R(x,y,y) = L(x,y,y). [hyper(58,a,2952,a(flip),b,4744,a),flip(a)]. 4748 ((x * K(y,z)) * z) / (z * y) = R(x / y,T(y,z),z). [para(3668(a,1),2846(a,1,1,1))]. 4749 T(x,y) \ T(x,y \ 1) = a(y,x,y \ 1). [para(378(a,1),2977(a,1,2))]. 4750 T(x,y) != z | y * (x * (y \ 1)) = z. [para(5(a,1),2980(a,1))]. 4754 L(x * (1 / y),y,y) != z | (y \ 1) * T(x,y) = z. [para(1999(a,2),3094(a,1))]. 4755 (x * (1 / y)) \ 1 != z | (x \ 1) * T(y,x) = z. [para(4176(a,2),3094(a,1))]. 4756 T((x / (1 / y)) \ 1,x) = L((x \ 1) / y,x,x). [para(4201(a,1),3101(a,1,1))]. 4757 (L(x \ y,x,x) * z) * x = x \ (y * (z * x)). [para(5(a,1),3140(a,1,2,1)),flip(a)]. 4758 (x \ (y * (y * (x * z)))) / x = L(z,x,x) * ((y * y) / x). [para(2956(a,1),3141(a,1,1,2))]. 4759 L(K(x,y),z,z) * (x / z) = (z \ (z * T(x,y))) / z. [para(3699(a,1),3141(a,1,1,2)),flip(a)]. 4760 x * (T(x * y,x) \ x) = (y \ (x * x)) / x. [hyper(272,a,4230,a(flip),b,3148,a),flip(a)]. 4761 (x \ (y * y)) / y = (y * x) \ (y * y). [hyper(58,a,3368,a(flip),b,4760,a),flip(a)]. 4762 (((x * y) \ (x * x)) \ x) * x = x * ((y \ (x * x)) \ (x * x)). [para(4761(a,1),3771(a,1,1,1))]. 4763 (L(x,y,y) * (y * x)) \ 1 = (y * x) \ ((y * x) \ y). [para(3332(a,1),3455(a,1,1))]. 4767 x \ (y \ ((z \ (y * x)) * z)) != u | K((y \ z) \ x,z) = u. [para(1286(a,1),3849(a,1,2))]. 4768 K((x \ y) \ 1,z) != u | K(y \ x,z) = u. [para(2877(a,1),3849(a,1))]. 4777 (x \ 1) * T(y,x) != z | (x * (1 / y)) \ 1 = z. [para(74(a,1),4157(a,1,2,1))]. 4778 (x * x) \ L(x,y,x) = a(x,x,y) / x. [para(4250(a,1),4229(a,1,2))]. 4779 L(x,y,y) * (x \ z) = a(x,y,y) * z. [para(4405(a,1),4403(a,2,1))]. 4780 x * (a(x,y,y) * z) = L(x,y,y) * z. [hyper(114,a,4779,a(flip),b,1271,a)]. 4781 L(x,y,y) * L(x,y,y) = x * x. [para(3807(a,1),4780(a,1,2)),flip(a)]. 4782 x * (a(y,y,x) * z) = L(x,y,y) * z. [para(4244(a,1),4780(a,1,2,1))]. 4783 L(x,y,y) * (z * L(x,y,y)) = (x * x) * T(z,L(x,y,y) \ 1). [para(4781(a,1),3092(a,1,1)),flip(a)]. 4784 a(x,x,y) * (y * z) = L(y,x,x) * z. [hyper(29,a,1270,a(flip),b,4782,a),flip(a)]. 4785 1 / ((x * y) * y) = y \ (y \ (1 / x)). [hyper(58,a,3794,a(flip),b,4516,a),flip(a)]. 4786 1 / (((1 / x) * y) * y) = y \ (y \ ((x \ 1) \ 1)). [para(2898(a,1),4785(a,2,2,2))]. 4787 1 / ((x * x) * y) = x \ (x \ (1 / y)). [para(3252(a,1),4785(a,1,2))]. 4788 x \ (x \ (1 / ((x * y) \ x))) = 1 / ((y \ x) * x). [para(3299(a,1),4785(a,1,2,1)),flip(a)]. 4789 L((x \ 1) / y,x,x) = 1 / ((1 / y) \ x). [hyper(3445,a,4756,a),flip(a)]. 4790 x / ((y \ 1) \ 1) != z | (y * (1 / x)) \ 1 = z. [para(3227(a,2),4777(a,1))]. 4791 x / (1 / (1 / y)) != z | (y * (1 / x)) \ 1 = z. [para(2898(a,2),4790(a,1,2))]. 4792 T(x,x * y) * (K(y,x) * z) = L(x,y,x) * z. [para(2732(a,1),2697(a,1,1)),flip(a)]. 4793 R(x,K(y,z),T(y,u)) = x. [hyper(453,a,2708,a)]. 4794 R(x,K(y,z),T(z,u)) = x. [para(28(a,1),4793(a,1,2))]. 4795 (x * (y * ((z * (y \ (x \ u))) / z))) / u = K(z,((x * y) / u) \ 1). [para(1108(a,1),2729(a,1,1))]. 4796 ((1 / x) \ y) * T(x,z) = x * (y * T(x,z)). [para(3699(a,1),2799(a,2,2))]. 4797 (x * x) \ (x * (y * T(x,z))) = ((1 / x) \ y) / T(x,z). [para(4796(a,1),3293(a,1,2))]. 4798 T((1 / x) \ x,y) / x = (x \ 1) \ a(x,x,y). [hyper(272,a,4223,a(flip),b,2931,a),flip(a)]. 4799 (x * ((x \ 1) / y)) * x = T(x / y,x). [hyper(272,a,4196,a(flip),b,2942,a),flip(a)]. 4800 (1 / x) * (x / y) = x * ((x \ 1) / y). [hyper(30,a,365,a(flip),b,4799,a)]. 4801 (1 / x) / (y / x) = x * ((x \ 1) / y). [hyper(58,a,4652,a,b,4800,a)]. 4802 x * ((x \ 1) / (y * x)) = (1 / x) / y. [para(6(a,1),4801(a,1,2)),flip(a)]. 4803 (x * ((y \ 1) * (y \ 1))) * y = T((1 / y) * x,y). [para(4115(a,1),2960(a,1,1,2))]. 4804 x * (y * (y * (x \ T(x,z)))) = y * (y * T(x,z)). [hyper(272,a,2956,a(flip),b,3022,a),flip(a)]. 4805 K(x * x,y) != z | a(x,x,y) = z. [para(11(a,2),3028(a,1))]. 4808 (x \ 1) * ((y * (x \ 1)) \ 1) = x * ((y * x) \ 1). [hyper(272,a,4344,a(flip),b,3052,a),flip(a)]. 4809 (x \ 1) * (((y / (1 / x)) / x) \ 1) = (x * (y * (1 / x))) \ (x \ 1). [para(3575(a,1),3055(a,1,1)),flip(a)]. 4810 (x \ 1) * (((y * ((x \ 1) \ 1)) / x) \ 1) = (x * (y / x)) \ (x \ 1). [para(4742(a,1),3055(a,1,1)),flip(a)]. 4812 ((x \ 1) \ y) * (z * T(x,x \ 1)) = x * ((y * z) * x). [hyper(58,a,310,a(flip),b,3154,a)]. 4813 ((1 / x) \ y) * ((1 / x) \ y) = (y * x) * (y * x). [hyper(3876,a,3161,a)]. 4814 R(K(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). [para(2671(a,1),3163(a,1,1))]. 4815 K(R(x \ 1,y,z) \ 1,u) = R(K(x,u),y,z). [para(2418(a,1),4814(a,1,1)),flip(a)]. 4816 K(x,R(y \ 1,z,u) \ 1) * w = R(K(y,x),z,u) \ w. [para(4815(a,1),3882(a,1,1)),flip(a)]. 4817 L(K(x \ 1,y),z,u) = K(L(x,z,u) \ 1,y). [para(2671(a,1),3164(a,1,1))]. 4818 K(L(x \ 1,y,z) \ 1,u) = L(K(x,u),y,z). [para(2418(a,1),4817(a,1,1)),flip(a)]. 4819 K(x,L(y \ 1,z,u) \ 1) = L(K(y,x),z,u) \ 1. [para(4818(a,1),2878(a,1,1)),flip(a)]. 4820 (x * x) * ((T((1 / x) * y,x * x) * z) * (x * x)) = T(x * y,x * x) * (z * (x * x)). [para(3352(a,1),3244(a,1,1,1)),flip(a)]. 4821 (x * (x * (x * x))) * y = x * (x * (y * (x * x))). [para(2956(a,1),3253(a,1,1))]. 4822 ((x * (x * y)) * (x * x)) / y = x * (x * (x * x)). [para(2956(a,1),3289(a,1,1,1))]. 4823 (T(x * y,y) / x) \ x = x * T(y \ 1,x). [para(3334(a,1),3328(a,2,2))]. 4824 (T(x * y,y) / x) \ x = (y \ 1) * x. [hyper(272,a,98,a(flip),b,4823,a),flip(a)]. 4825 R(x,x,y) \ y = (x \ 1) * y. [para(4566(a,1),4824(a,1,1))]. 4826 (x * x) * T((y \ 1) * (y \ (y \ (1 / y))),z) = x * (x * T((y \ (1 / y)) * (y \ (1 / y)),z)). [para(3787(a,1),3383(a,1,2,1))]. 4827 ((x * y) * x) * (x * y) = (x * x) * (x * (y * y)). [hyper(1256,a,3459,a)]. 4828 (x * ((y * z) * z)) / y = y * (z * (z * (y \ x))). [hyper(3016,a,3479,a),flip(a)]. 4829 (x \ 1) * (((1 / (x \ 1)) * y) * z) = (y * (z * (x \ 1))) * x. [para(72(a,1),3538(a,1,2)),flip(a)]. 4830 T(x \ (x \ (1 / y)),x \ 1) = (x \ 1) / (x * y). [para(4787(a,1),3558(a,1,1))]. 4831 (x \ (x \ (x \ y))) * x = (x \ 1) * (y * (1 / x)). [hyper(272,a,2828,a,b,3583,a)]. 4833 (x \ 1) \ K(x,x \ y) = T(x,x * y). [hyper(272,a,4545,a(flip),b,3585,a),flip(a)]. 4834 T(x,y \ 1) * T(y,z) = T(x * T(y,z),y). [hyper(272,a,4715,a(flip),b,3685,a),flip(a)]. 4835 T(x * T(y,z),y) != u * T(y,z) | T(x,y \ 1) = u. [para(4834(a,1),39(a,1))]. 4836 x \ (x \ (y * T(x * x,z))) = y * a(x,x,z). [para(4211(a,1),3695(a,2,2))]. 4837 x \ y != z * a(x,x,u) | x \ (z * T(x * x,u)) = y. [para(4836(a,1),42(a,1)),flip(a)]. 4838 (x / ((y \ 1) \ 1)) * x = (x \ 1) \ (y \ x). [hyper(272,a,3529,a(flip),b,3724,a),flip(a)]. 4839 (x \ 1) \ ((1 / y) \ x) = (x / (y \ 1)) * x. [para(74(a,1),4838(a,1,1,2,1)),flip(a)]. 4840 ((x * (1 / y)) \ 1) * y = (y \ 1) \ (x \ y). [para(4132(a,1),4838(a,1,1))]. 4841 L((x / (y \ 1)) * x,x,x) = x * ((1 / y) \ x). [para(4839(a,1),2967(a,1,1))]. 4842 ((x * (1 / (T(y,x) \ 1))) \ 1) * (T(y,x) \ 1) = ((T(y,x) \ 1) \ 1) \ (y \ (x \ 1)). [para(4347(a,1),4840(a,2,2))]. 4843 (x / (y \ 1)) / (1 / x) = x * ((1 / y) \ x). [hyper(58,a,2966,a(flip),b,4841,a)]. 4844 ((x * x) * ((y * x) * x)) / z = (y * ((x * x) * (x * x))) / z. [para(2956(a,2),3776(a,2,1))]. 4845 x * (((y \ x) \ 1) * y) = T((1 / y) \ y,x). [para(4130(a,1),3822(a,1,2))]. 4846 T((1 / x) \ x,y) / x = L(x,x \ y,x). [para(4845(a,1),3811(a,1,1))]. 4847 (x \ 1) \ a(x,x,y) = L(x,x \ y,x). [hyper(58,a,4798,a(flip),b,4846,a)]. 4848 (x * y) \ ((x * y) / (y \ 1)) = x \ (x / (1 / y)). [hyper(272,a,3832,a(flip),b,3825,a),flip(a)]. 4849 T((x * ((1 / x) * y)) \ 1,x) = T((1 / (1 / x)) * y,x) \ x. [para(3834(a,1),2275(a,1,1,1))]. 4850 x \ (y \ ((z \ (y * x)) * z)) = K((z / y) \ x,z). [para(2549(a,1),3846(a,1,2))]. 4851 x * (y \ R(y,x,y)) = T(y * x,y) / y. [para(3638(a,1),3857(a,1,2))]. 4852 ((x * y) \ 1) * (x \ 1) = y \ (x \ (1 / x)). [hyper(58,a,4607,a(flip),b,4022,a),flip(a)]. 4853 (x \ 1) * (y \ (x \ (1 / x))) = x \ (((x * y) \ 1) / x). [para(4852(a,1),1137(a,1,2))]. 4854 x * (T(x,y) * ((1 / x) * z)) = K(x,y) * ((x \ 1) \ z). [hyper(114,a,4032,a(flip),b,3908,a)]. 4856 T(x,y \ (y \ (1 / z))) = T(x,y \ (y \ (z \ 1))). [para(4785(a,1),4049(a,1,2))]. 4857 ((x * x) * (y * x)) \ x = (x \ (y \ 1)) / x. [hyper(2811,a,4051,a),flip(a)]. 4858 (x \ (y \ 1)) / x = (y * x) \ (1 / x). [hyper(4636,a,4857,a),flip(a)]. 4859 (x \ 1) * ((x * y) \ 1) = (y * x) \ (1 / x). [hyper(58,a,4677,a,b,4858,a)]. 4860 x * ((y * x) \ (1 / x)) = (y \ 1) * (1 / x). [hyper(114,a,4858,a(flip),b,3530,a)]. 4861 T((x * y) / (1 / y),x * y) = 1 / ((y \ (x \ 1)) / y). [para(4858(a,2),3063(a,2,2))]. 4862 1 / ((x * y) \ (1 / y)) = (1 / (y * x)) \ y. [para(4859(a,1),4020(a,1,2))]. 4863 ((x / y) \ 1) * (1 / y) = y * (x \ (1 / y)). [para(7(a,1),4860(a,1,2,1)),flip(a)]. 4864 ((x \ 1) \ (y / x)) \ 1 = x * (y \ (1 / x)). [hyper(58,a,4104,a,b,4863,a)]. 4865 L(x * (y / x),x,x) \ 1 = x * (y \ (1 / x)). [para(2002(a,2),4864(a,1,1))]. 4866 (x * (y * (1 / x))) \ 1 = x * (y \ (1 / x)). [para(3829(a,1),4864(a,1,1))]. 4867 x * ((x * y) \ (1 / x)) = (y / (1 / x)) \ 1. [para(3587(a,1),4866(a,1,1)),flip(a)]. 4868 L((x * (y / x)) \ 1,x,x) = x * (y \ (1 / x)). [hyper(58,a,3798,a,b,4865,a)]. 4869 (x \ 1) \ (y \ (1 / x)) = (x * (y / x)) \ 1. [hyper(3110,a,4868,a)]. 4870 (x \ 1) \ (y \ (1 / x)) = (x \ 1) * (y \ x). [hyper(272,a,4155,a(flip),b,4869,a),flip(a)]. 4871 (x \ 1) * ((y * x) \ 1) = (x * y) \ (1 / x). [hyper(114,a,4177,a(flip),b,4870,a)]. 4872 (x * x) \ ((y * x) \ 1) = x \ ((x * y) \ (1 / x)). [hyper(112,a,4871,a(flip),b,3527,a),flip(a)]. 4873 (x * (y * (y * x))) \ 1 = y \ (y \ (x \ (x \ 1))). [para(3080(a,1),4052(a,2,2,2))]. 4874 (x \ 1) \ L(x,y,z) = x * L(x,y,z). [para(2520(a,2),4053(a,1,2)),flip(a)]. 4875 ((x \ y) \ y) * ((x \ y) \ y) = x * x. [hyper(272,a,3010,a(flip),b,4114,a),flip(a)]. 4877 T((x * (y \ 1)) \ 1,1 / y) * ((1 / y) * ((x * (y \ 1)) \ 1)) = ((x * (y \ 1)) \ 1) * (T(x,y \ 1) \ 1). [para(4127(a,1),2226(a,2,2))]. 4878 x / ((L(x,y,z) \ 1) * x) = (L(x,y,z) \ 1) \ 1. [para(2853(a,2),4139(a,1,2))]. 4879 (x \ y) * ((x \ y) * L(z,x \ y,x \ y)) = (z * (y / x)) * (y / x). [hyper(2974,a,4143,a)]. 4880 (x * (1 / y)) * (1 / y) = (y \ 1) * (y \ x). [hyper(58,a,4046,a(flip),b,4143,a),flip(a)]. 4881 (x * (1 / y)) * (1 / y) = (y \ (1 / y)) * x. [para(684(a,1),4143(a,1,1)),flip(a)]. 4882 ((x \ y) * (x \ y)) * (x * x) = (y * x) * (y / x). [para(3251(a,1),4143(a,2,1))]. 4883 (x \ 1) * ((y \ 1) * (y \ x)) = x * (((1 / y) * (1 / y)) / x). [para(4880(a,1),3580(a,1,2))]. 4884 (((x \ 1) \ 1) * y) / x = x * (y * (1 / x)). [hyper(272,a,3575,a(flip),b,4182,a),flip(a)]. 4885 (((x \ 1) \ 1) \ y) * (1 / x) = x \ (y / x). [hyper(534,a,4884,a),flip(a)]. 4886 x * ((1 / y) * (1 / x)) = (1 / (y / x)) / x. [para(4185(a,1),4884(a,1,1)),flip(a)]. 4887 T((1 / (1 / x)) * y,z) \ z = z * ((y \ 1) / x). [para(2898(a,2),4184(a,1,1,1,1))]. 4888 (x / (1 / y)) \ y = y * ((x \ 1) / y). [para(4165(a,1),4184(a,1,1))]. 4889 ((1 / x) / (1 / y)) \ y = y * (x / y). [para(74(a,1),4888(a,2,2,1))]. 4890 x * ((T(y,x) \ 1) / x) = ((x \ 1) \ y) \ x. [para(3350(a,1),4888(a,1,1)),flip(a)]. 4891 (1 / x) / (1 / y) = ((x \ y) \ 1) \ 1. [hyper(4059,a,4889,a),flip(a)]. 4892 (((x \ y) \ x) \ 1) \ 1 = (x \ 1) \ (x / y). [hyper(58,a,3349,a(flip),b,4891,a),flip(a)]. 4893 x \ (((y \ x) \ 1) \ 1) = x * ((1 / y) / x). [hyper(112,a,4891,a(flip),b,3586,a)]. 4894 ((x \ (y \ 1)) \ 1) \ 1 = (1 / x) / y. [para(72(a,1),4891(a,1,2)),flip(a)]. 4895 (((x \ y) \ 1) \ 1) / (x \ 1) = (x / (1 / y)) * (1 / x). [para(4891(a,1),4644(a,1,1))]. 4896 1 / ((1 / x) / y) = (x \ (y \ 1)) \ 1. [hyper(178,a,4894,a)]. 4897 (((x \ (y \ 1)) \ 1) \ 1) * (1 / ((x \ (y \ 1)) \ 1)) = (1 / ((x \ (y \ 1)) \ 1)) * ((1 / x) / y). [para(4894(a,1),306(a,1,2)),flip(a)]. 4898 T(x,(1 / y) / z) = T(x,y \ (z \ 1)). [para(4894(a,1),1970(a,1,2))]. 4899 K(x,(1 / y) / z) = K(x,y \ (z \ 1)). [para(4894(a,1),2372(a,1,2))]. 4900 a((1 / x) / y,z,u) = a(x \ (y \ 1),z,u). [para(4894(a,1),2512(a,1,1))]. 4901 R(x,y,(1 / z) / u) = R(x,y,z \ (u \ 1)). [para(4894(a,1),2619(a,1,3))]. 4902 1 / (x \ (y \ 1)) = ((1 / x) / y) \ 1. [para(4894(a,1),2826(a,1,1)),flip(a)]. 4903 ((1 / (x \ (y \ 1))) \ (x \ (y \ 1))) * 1 = (x \ (y \ 1)) * ((1 / x) / y). [para(4894(a,1),3500(a,2,2))]. 4904 ((x \ (y \ 1)) \ z) \ 1 = (z \ 1) * ((1 / x) / y). [para(4894(a,1),4021(a,1,2)),flip(a)]. 4905 x / ((1 / x) / y) = x * ((y \ 1) \ x). [para(4894(a,1),4136(a,1,2))]. 4906 (((x \ (y \ 1)) \ (1 / (x \ (y \ 1)))) / 1) \ 1 = ((x \ (y \ 1)) \ 1) \ ((1 / x) / y). [para(4894(a,1),3474(a,2,2))]. 4907 ((x \ 1) \ y) \ x = (y \ x) * (1 / x). [hyper(58,a,3540,a(flip),b,4890,a),flip(a)]. 4908 ((x \ y) \ 1) \ 1 = y \ (y / (y \ x)). [hyper(33,a,4713,a,b,4893,a),flip(a)]. 4909 x * T(y \ x,x \ y) = x / (x \ y). [hyper(1557,a,4908,a)]. 4910 x * (((y \ x) \ 1) \ 1) = x / (x \ y). [hyper(114,a,4908,a,b,xx)]. 4912 (((x \ y) \ x) \ 1) \ 1 = x / (y * (1 / x)). [hyper(29,a,3573,a,b,4910,a),flip(a)]. 4913 x / (y * (1 / x)) = (x \ 1) \ (x / y). [hyper(58,a,4892,a(flip),b,4912,a),flip(a)]. 4914 (1 / ((x \ 1) * y)) * x = (x \ 1) \ (x / y). [hyper(58,a,3344,a,b,4913,a)]. 4915 (x \ 1) \ (x / (1 / y)) = ((y \ 1) \ x) * x. [para(4125(a,1),4914(a,1,1)),flip(a)]. 4916 K(x,(y * (z / u)) \ 1) / (y * (z / u)) = T(((z \ 1) \ (u \ 1)) \ (1 / y),x). [para(4198(a,2),2715(a,2,1))]. 4917 ((x \ 1) / y) * x = x * (1 / (x * y)). [hyper(58,a,3066,a(flip),b,4269,a)]. 4918 T((x \ 1) / y,x) = 1 / (x * y). [hyper(215,a,3066,a(flip),b,4269,a(flip))]. 4919 (1 / x) \ ((x / (1 / y)) \ 1) = x * (1 / (x * y)). [para(4201(a,1),4269(a,1,2))]. 4920 T(1 / (x * y),x) = (x \ 1) / y. [hyper(2782,a,4918,a)]. 4921 (x \ (x / y)) * (1 / x) = T((x \ 1) / y,x). [hyper(272,a,4193,a,b,4918,a)]. 4922 ((x \ 1) / y) * (x \ 1) = x \ (1 / (x * y)). [hyper(112,a,4918,a(flip),b,2843,a(flip)),flip(a)]. 4923 (x \ 1) / (x / y) = ((y / x) \ x) \ 1. [hyper(58,a,3494,a(flip),b,4920,a),flip(a)]. 4924 ((x \ 1) / y) * (x \ 1) != z | x \ (1 / (x * y)) = z. [para(4920(a,1),690(a,1,1))]. 4925 ((x \ 1) / y) \ x = x * (x * y). [para(4920(a,1),2996(a,1,1))]. 4926 x / (1 / (((x \ 1) / y) * x)) = (x \ y) \ 1. [para(4917(a,2),4721(a,1,2,2))]. 4927 (x \ 1) * (x \ (x / y)) = (x \ 1) / y. [hyper(3413,a,4921,a(flip))]. 4928 (x \ 1) \ ((x \ 1) / y) = x \ (x / y). [hyper(117,a,4927,a)]. 4929 ((x * y) \ 1) * ((x * y) \ x) = ((x * y) \ 1) / y. [para(6(a,1),4927(a,1,2,2))]. 4932 x * (((x \ 1) / y) / x) = (x \ (x / y)) / x. [hyper(113,a,4928,a(flip),b,3480,a),flip(a)]. 4933 (x \ T(1 / x,y)) / y = x \ (1 / (x * y)). [hyper(58,a,4088,a,b,4922,a)]. 4934 (x \ (y \ (x \ 1))) \ 1 = x / (1 / (y * x)). [para(72(a,1),4926(a,1,2,2,1)),flip(a)]. 4935 (x \ (1 / (x * y))) * y = x \ T(1 / x,y). [hyper(125,a,4933,a)]. 4936 ((x * y) \ 1) * (1 / y) = y \ (x \ (y \ 1)). [hyper(4174,a,4934,a)]. 4937 T(x * (y * (1 / x)),x) = K(x,x \ 1) * y. [hyper(272,a,3956,a(flip),b,4282,a),flip(a)]. 4938 x * T(y * (z * (1 / y)),y) = K(y,y \ 1) * (x * z). [para(4937(a,2),2148(a,2,2)),flip(a)]. 4939 (T(x,y) * K(y,z)) * (y \ 1) = (y \ x) * K(y,z). [para(4609(a,1),4297(a,1,1))]. 4940 (x * (y * y)) * K(y,z) = y * (y * (x * K(y,z))). [para(4303(a,1),4304(a,2,2))]. 4941 L(K(x,y),z,T(x,u)) = K(x,y). [hyper(2469,a,4313,a)]. 4942 (T(x,y) * z) * K(x,y) = x * T(z,K(x,y)). [hyper(272,a,3730,a(flip),b,4313,a),flip(a)]. 4944 (x * (x * T(y,z))) * K(y,z) = y * T(x * x,K(y,z)). [para(2956(a,1),4942(a,1,1))]. 4945 T(x * y,y) * (y * z) != y * u | (x * T(z,y)) * y = u. [para(4324(a,2),38(a,1))]. 4946 T((x * y) \ 1,y \ 1) = (y / (x \ 1)) \ 1. [hyper(272,a,4025,a(flip),b,4339,a),flip(a)]. 4947 (x \ L(x,y,z)) \ (x \ 1) = 1 / L((x \ 1) \ 1,y,z). [para(985(a,1),4348(a,1,1))]. 4948 L((x \ 1) \ 1,y,z) = (L(x,y,z) \ 1) \ 1. [hyper(29,a,1178,a(flip),b,4427,a)]. 4950 (L(x,y,y) \ 1) \ 1 = y * ((x \ y) \ 1). [hyper(58,a,4098,a(flip),b,4948,a),flip(a)]. 4951 1 / L((x \ 1) \ 1,y,z) = L(x,y,z) \ 1. [hyper(178,a,4948,a(flip))]. 4953 (L(x \ 1,y,z) \ 1) \ 1 = L(1 / x,y,z). [para(2826(a,1),4948(a,1,1)),flip(a)]. 4954 (x \ (y * y)) \ (y * y) = y * ((x \ y) \ 1). [hyper(58,a,3799,a,b,4950,a)]. 4955 (x / y) * (((y \ x) * (y \ 1)) \ 1) = (L(y,x / y,x / y) \ 1) \ 1. [para(684(a,2),4950(a,2,2,1)),flip(a)]. 4956 a(x,y * ((z \ y) \ 1),u) = a(x,L(z,y,y),u). [para(4950(a,1),2604(a,1,2))]. 4957 (x * ((y \ x) \ 1)) \ 1 = 1 / L(y,x,x). [para(4950(a,1),2826(a,1,1))]. 4959 1 / L(L(x,x,x),y,z) = L(x,y,z) \ 1. [para(2012(a,2),4951(a,1,2,1))]. 4960 1 / L(1 / x,y,z) = L(x \ 1,y,z) \ 1. [para(2826(a,1),4951(a,1,2,1))]. 4961 1 / L(L(x,y,z),x,x) = L(x,y,z) \ 1. [para(25(a,1),4959(a,1,2))]. 4962 L(1 / L(x,y,z),x,x) = L(x,y,z) \ 1. [hyper(58,a,3790,a,b,4961,a)]. 4963 (x \ 1) * (L(x,y,z) \ 1) = x \ (1 / L(x,y,z)). [hyper(114,a,4962,a(flip),b,2013,a)]. 4964 (1 / x) \ (L(x,y,z) \ 1) = x * (1 / L(x,y,z)). [hyper(112,a,4962,a(flip),b,3118,a)]. 4966 ((L(x,y,z) \ 1) \ 1) / x = x * (a(x \ 1,z,y) / x). [hyper(113,a,4428,a(flip),b,3480,a)]. 4967 K(x,(T(y,z) * u) \ y) = K(x,u \ K(z,y)). [hyper(272,a,4443,a(flip),b,4441,a),flip(a)]. 4968 K(x,(T(y,z) \ u) \ K(z,y)) = K(x,u \ y). [para(5(a,1),4967(a,1,2,1)),flip(a)]. 4969 T((1 / x) * ((1 / x) * y),x) = (x \ 1) * (y / x). [para(2956(a,1),4524(a,1,1))]. 4970 (x \ 1) * (x \ ((1 / x) * y)) = (x \ (y / x)) / x. [para(1155(a,2),4539(a,1,2))]. 4971 T(x,y * (((z \ 1) \ 1) \ u)) = T(x,y * (z \ u)). [para(72(a,1),4547(a,1,2,2,1)),flip(a)]. 4972 T(x,K(y,z)) / T(y,z) = T(T(y,z) \ x,y). [para(2892(a,1),4554(a,1,1,2))]. 4973 x \ (T(y,x) * (1 / x)) = y * (x \ (1 / x)). [hyper(32,a,4543,a,b,4555,a),flip(a)]. 4974 x \ (((x \ 1) \ 1) \ y) = y * (x \ (1 / x)). [para(4279(a,2),4973(a,1,2))]. 4975 (1 / x) * (y \ (1 / y)) = y \ (1 / (x * y)). [para(4281(a,1),4973(a,1,2)),flip(a)]. 4976 x \ y != z * (x \ (1 / x)) | ((x \ 1) \ 1) \ z = y. [para(4974(a,1),42(a,1)),flip(a)]. 4977 (x * ((1 / y) \ x)) \ 1 = x \ ((x * y) \ 1). [para(3369(a,1),4564(a,1,1))]. 4978 (((x \ 1) \ 1) \ (1 / y)) / (x \ 1) = (1 / (y / x)) / x. [hyper(272,a,4886,a(flip),b,4569,a),flip(a)]. 4979 (1 / x) \ (((x \ 1) \ 1) \ y) = T(T(y,x \ 1),x). [hyper(272,a,1985,a,b,4570,a),flip(a)]. 4980 ((x \ y) \ y) * ((y / x) * z) = x * ((x \ y) * z). [para(2898(a,1),4583(a,1,1))]. 4981 x \ (T(y,x \ 1) \ 1) = (x / (y \ 1)) \ 1. [hyper(58,a,4946,a(flip),b,4598,a),flip(a)]. 4982 (x * x) \ (1 / (x * (y / x))) = x \ (1 / (x * y)). [para(7(a,1),4601(a,2,2,2,2))]. 4984 (x * (y / T(x,z))) * T(x,z) = (x \ 1) \ y. [hyper(272,a,3480,a(flip),b,4617,a),flip(a)]. 4985 (x \ 1) \ (y * T(x,z)) = (x * y) * T(x,z). [para(6(a,1),4984(a,1,1,2)),flip(a)]. 4986 (((x / y) \ 1) \ 1) \ (z * (1 / (y \ x))) = (((x / y) \ 1) * z) * T((x / y) \ 1,x). [para(3362(a,1),4985(a,1,2,2))]. 4987 ((1 / (x / y)) \ 1) \ (z * ((y \ x) \ 1)) = ((1 / (x / y)) * z) * T(1 / (x / y),x). [para(3469(a,1),4985(a,1,2,2))]. 4988 ((x \ (x \ (x / y))) \ 1) \ x = x * (y \ (1 / x)). [para(3785(a,1),4633(a,1,1,1))]. 4990 (x \ y) \ ((x \ y) \ z) = z * (y \ ((y / x) \ x)). [para(4660(a,1),4657(a,2,2))]. 4991 ((x \ y) * (x \ y)) \ z = (y \ ((y / x) \ x)) * z. [para(4660(a,1),4658(a,2,1))]. 4992 (x / (1 / y)) * y = x * ((1 / y) \ y). [para(2770(a,1),4659(a,1,1))]. 4993 (x * y) / (y \ 1) = x * ((1 / y) \ y). [hyper(58,a,2032,a,b,4992,a)]. 4994 x \ (y * ((1 / x) \ x)) = T(y * x,x \ 1). [hyper(112,a,4993,a(flip),b,2779,a)]. 4995 x \ (y * T(x * x,x)) = T(y * x,x \ 1). [para(2773(a,2),4994(a,1,2,2))]. 4996 T(x * (y * x),x) = y * T(x * x,x). [hyper(33,a,2937,a,b,4995,a)]. 4997 x * (y * T(y,y \ 1)) = T(y * (x * y),y). [para(2771(a,2),4996(a,2,2)),flip(a)]. 4998 ((1 / x) * y) \ (x \ 1) = x * ((y / (1 / x)) \ 1). [hyper(58,a,3055,a,b,4661,a)]. 4999 (T(x,y) \ 1) * (z * x) = T(x,y) * (z / x). [hyper(3201,a,4673,a),flip(a)]. 5001 x \ (x \ ((y \ 1) \ 1)) = 1 / ((x * x) / y). [para(3029(a,1),4786(a,1,2)),flip(a)]. 5002 (1 / (x / y)) / x = 1 / ((x * x) / y). [hyper(58,a,4194,a(flip),b,5001,a)]. 5003 x \ (x \ ((x * (1 / y)) \ x)) = 1 / ((y \ x) * x). [para(4530(a,1),4788(a,1,2,2))]. 5004 (x * (y \ (1 / y))) * y = T((1 / y) * x,y). [para(684(a,1),4803(a,1,1,2))]. 5005 (1 / x) * ((1 / x) * y) = y * (x \ (1 / x)). [hyper(30,a,365,a(flip),b,5004,a)]. 5006 T(x * (y \ (1 / y)),y \ 1) = ((1 / y) * x) / y. [para(5005(a,1),1979(a,1,1))]. 5007 (((1 / x) * y) * ((1 / x) * y)) / x = (y * (x \ (1 / x))) * ((1 / x) * y). [para(5005(a,1),3029(a,1,1)),flip(a)]. 5008 (1 / x) * ((y * (1 / x)) * (1 / x)) = ((1 / x) * (x \ (1 / x))) * y. [para(5005(a,1),4508(a,1,1)),flip(a)]. 5009 x * (y * (y * K(x,z))) = y * (y * T(x,z)). [para(2672(a,2),4804(a,1,2,2,2))]. 5010 x * (y * (y * K(x,y))) = y * (x * y). [para(98(a,1),5009(a,2,2))]. 5011 x * (y * T(y,x)) = y * (x * y). [para(2652(a,2),5010(a,1,2,2))]. 5012 x \ (y * (x * y)) = y * T(y,x). [hyper(117,a,5011,a)]. 5013 (x \ y) * T(x \ y,x) = x \ ((x \ y) * y). [hyper(112,a,137,a(flip),b,5011,a),flip(a)]. 5014 (x * y) * (x * (x * y)) = x * ((x * (y * y)) * x). [para(1158(a,1),5011(a,1,2)),flip(a)]. 5015 (1 / x) * (y * T(y,x \ 1)) = y * ((1 / x) * y). [para(1967(a,1),5011(a,1,2,2))]. 5016 L(x * (y * x),y,y) != z | (y \ 1) \ (x * T(x,y)) = z. [para(5011(a,1),2010(a,1,1))]. 5017 T(1 / (x * T(x,y)),y) = y / (x * (y * x)). [para(5011(a,1),3031(a,2,2))]. 5018 (x * x) * ((y * x) * T(y * x,x * x)) = (y * x) * (((x * x) * y) * x). [para(3275(a,2),5011(a,2,2))]. 5019 (x * T(x,y)) * T(y,y \ 1) = T(x * (y * x),y \ 1). [para(5011(a,1),3878(a,1,1)),flip(a)]. 5020 T(x,(y * T(y,z)) \ 1) = T(x,(y * (z * y)) \ z). [para(5011(a,1),4464(a,1,2,1)),flip(a)]. 5021 x \ y != z * T(z,x) | z * (x * z) = y. [para(5012(a,1),42(a,1)),flip(a)]. 5022 (T(x,y) \ 1) * T(T(x,y) \ 1,y) = y \ ((T(x,y) \ 1) * (x \ y)). [para(3006(a,1),5012(a,1,2,2)),flip(a)]. 5023 (1 / x) \ ((x * y) * L(y,x,x)) = (x * y) * T(x * y,1 / x). [para(3118(a,1),5012(a,1,2,2))]. 5024 (x / y) * T(x / y,y * (y / x)) = (y * (y / x)) \ ((x / y) * y). [para(3323(a,1),5012(a,1,2,2)),flip(a)]. 5025 ((x * T(x,y)) \ (x * (y * x))) \ 1 = T(1 / y,x * (y * x)). [para(5012(a,1),3492(a,1,1,1))]. 5026 x \ ((x \ y) * y) = (x \ y) * (y / x). [para(2775(a,1),5013(a,1,2)),flip(a)]. 5027 (x / y) * T(x / y,y) = y \ ((y \ x) * x). [hyper(272,a,303,a,b,5026,a)]. 5028 x * ((x \ y) * (y / x)) = (x \ y) * y. [hyper(127,a,5026,a)]. 5029 (x \ 1) * (1 / x) != y | x \ (x \ 1) = y. [para(5026(a,1),292(a,1))]. 5030 ((x * y) \ x) * (x / (x * y)) = (x * y) \ (y \ x). [para(3299(a,1),5026(a,1,2)),flip(a)]. 5031 (x * ((x / (1 / y)) / y)) / (1 / y) = ((1 / y) \ x) * x. [hyper(58,a,1169,a(flip),b,5028,a)]. 5032 x \ ((x \ y) * y) != z | (x \ y) * (y / x) = z. [para(5028(a,1),287(a,1,2))]. 5033 (x / y) * (y * (x / y)) = (y \ x) * x. [hyper(5021,a,5027,a(flip))]. 5034 (T(x,y) * K(y,z)) * (T(y,z) * ((y * x) / T(y,z))) = (T(y,z) \ (y * x)) * (y * x). [para(3998(a,1),5033(a,1,1))]. 5035 (x / y) * T(x / y,y) != z | (y \ x) * (x / y) = z. [para(5027(a,2),5032(a,1))]. 5036 (x * x) * ((y * x) \ 1) = (y * (x \ 1)) \ 1. [hyper(3564,a,4808,a)]. 5037 (((x \ 1) * y) * x) \ 1 = x \ (y \ ((x \ 1) \ 1)). [hyper(112,a,4346,a(flip),b,4808,a(flip)),flip(a)]. 5038 (1 / x) * ((y * x) * (y * x)) != z | (y / (1 / x)) * y = z. [para(4813(a,1),4118(a,1,2))]. 5039 (x * (x * (x * (x * y)))) / y = x * (x * (x * x)). [para(2956(a,1),4822(a,1,1))]. 5040 (x * x) * (x * ((x \ y) * (x \ y))) = (y * x) * (x * (x \ y)). [para(5(a,1),4827(a,1,1,1)),flip(a)]. 5041 (x * ((y * y) * z)) / z = z * (y * (y * (z \ x))). [hyper(58,a,3776,a(flip),b,4828,a)]. 5042 x \ T(x \ (1 / y),x) = (x \ 1) / (x * y). [hyper(58,a,2936,a(flip),b,4830,a)]. 5043 (x \ 1) / (x * y) = x \ ((1 / y) / x). [para(2775(a,1),5042(a,1,2)),flip(a)]. 5044 (x * y) \ (x * ((1 / y) \ y)) = x \ (x / (1 / y)). [para(4993(a,1),4848(a,1,2))]. 5045 K((x / y) \ z,x) = K((y \ x) \ z,x). [hyper(58,a,3847,a(flip),b,4850,a),flip(a)]. 5046 (x * K((y \ z) \ u,z)) \ x = K(z,(z / y) \ u). [para(5045(a,1),3899(a,1,1,2))]. 5047 (x * x) \ ((y * x) \ 1) = x \ ((y \ (x \ 1)) / x). [para(4648(a,2),4872(a,2,2))]. 5048 1 / T((L(x,y,z) \ 1) * x,x) = ((L(x,y,z) \ 1) \ 1) / x. [hyper(113,a,4878,a(flip),b,2793,a),flip(a)]. 5049 x * (x * ((x \ y) * (x \ y))) = (y * x) * (y / x). [hyper(3013,a,4882,a)]. 5050 T(x * ((1 / x) * (y \ 1)),x) = T((1 / (1 / x)) * y,x) \ x. [hyper(272,a,2844,a,b,4887,a)]. 5051 (1 / x) \ ((x / y) \ 1) = x * (1 / (x * (y \ 1))). [para(72(a,1),4919(a,1,2,1,2))]. 5052 (x / (y \ 1)) * T(y,z) = y * (y * (x * K(y,z))). [hyper(58,a,3686,a,b,4940,a)]. 5053 1 / T(x * (1 / L(x,y,z)),L(x,y,z) \ 1) = (1 / x) / (L(x,y,z) \ 1). [para(4964(a,1),2908(a,1,2,1))]. 5054 T((1 / x) * ((1 / x) * y),x) = x * ((x * x) \ (y / x)). [hyper(272,a,3527,a,b,4969,a),flip(a)]. 5055 ((x \ 1) * (x \ 1)) * ((1 / x) * y) = (x \ (y / x)) / x. [hyper(58,a,4046,a,b,4970,a)]. 5056 (x \ (1 / x)) * ((1 / x) * y) = (x \ (y / x)) / x. [hyper(58,a,3787,a,b,4970,a)]. 5057 T(x,y * ((z \ u) \ u)) = T(x,y * (u * (z / u))). [para(3833(a,1),4971(a,1,2,2)),flip(a)]. 5058 (((x \ 1) \ 1) \ y) * x = T(y,x \ 1). [hyper(2921,a,4979,a(flip))]. 5059 (((x \ 1) \ 1) \ y) * T(x,z) = T(y,x \ 1) * K(x,z). [para(5058(a,1),3664(a,1,1)),flip(a)]. 5060 (x / y) \ (y * ((y \ x) * ((y \ x) \ x))) = ((y \ x) \ x) * T((y \ x) \ x,x / y). [hyper(112,a,4980,a(flip),b,5011,a)]. 5061 1 / (x * (y / x)) = (x / y) * (1 / x). [hyper(33,a,4602,a,b,4982,a),flip(a)]. 5062 ((x / y) * (1 / x)) \ 1 = x * (y / x). [hyper(172,a,5061,a)]. 5063 ((x * x) * ((x / y) \ 1)) \ x = x * (y \ (1 / x)). [para(4416(a,1),4988(a,1,1))]. 5065 (x * (1 / y)) \ (x \ 1) = 1 / ((y \ x) * x). [hyper(4360,a,5003,a)]. 5066 T(x * (y \ (1 / y)),y \ 1) = (y \ x) * (1 / y). [hyper(272,a,3125,a(flip),b,5006,a),flip(a)]. 5067 (x * y) * (x * (x * y)) = x * (x * ((y * y) * x)). [para(3437(a,1),5014(a,2,2))]. 5068 T(x * T(x,y \ 1),y) = (x * ((1 / y) * x)) * y. [para(5015(a,1),365(a,2,1))]. 5069 T(x * ((1 / y) * x),y \ 1) = (x * T(x,y \ 1)) / y. [para(5015(a,1),1979(a,1,1))]. 5070 (x * T(x,y)) * T(z,(x * (y * x)) \ y) = z / ((x * T(x,y)) \ 1). [hyper(114,a,5020,a(flip),b,2928,a)]. 5071 T(x,(y * (z * y)) \ z) = T(x,y \ (T(y,z) \ 1)). [para(4048(a,1),5020(a,1,2)),flip(a)]. 5072 (x * (y * (1 / x))) \ 1 = x \ (y \ ((x \ 1) \ 1)). [para(3342(a,1),5037(a,1,1))]. 5073 x * (y * (y * (x \ y))) = y * (y * y). [hyper(4514,a,5041,a),flip(a)]. 5074 x * (((y \ x) * (y \ z)) / (y \ 1)) = z * (((y \ x) * (y \ x)) * y). [hyper(1168,a,5041,a)]. 5075 (x * y) * (x \ (x / (1 / y))) = x * ((1 / y) \ y). [hyper(127,a,5044,a)]. 5076 L(T(1 / x,x) \ 1,x,y) = y \ (y / (1 / x)). [hyper(58,a,3043,a(flip),b,5044,a)]. 5078 L((x \ 1) \ 1,x,y) = y \ (y / (1 / x)). [para(100(a,1),5076(a,1,1,1))]. 5079 (L(x,x,y) \ 1) \ 1 = y \ (y / (1 / x)). [hyper(58,a,4948,a(flip),b,5078,a)]. 5080 L(x,x,y) \ 1 = (y * x) \ y. [hyper(34,a,3832,a,b,5079,a),flip(a)]. 5081 L(x,x,y) \ 1 = y \ (y / ((x \ 1) \ 1)). [hyper(272,a,4121,a,b,5080,a),flip(a)]. 5082 L(T(x \ 1,y),x,z) = T(L(x,x,z) \ 1,y). [para(5080(a,2),330(a,1,1)),flip(a)]. 5083 L(x,x,y) = y \ (y / (x \ 1)). [hyper(34,a,3548,a,b,5081,a),flip(a)]. 5084 L(x,x,y) = (y \ (y / x)) \ 1. [hyper(34,a,1786,a,b,5081,a),flip(a)]. 5085 L(x \ 1,x \ 1,y) = L(x,x,y) \ 1. [hyper(272,a,5081,a,b,5083,a),flip(a)]. 5086 x \ a(x,y,x \ 1) = y \ (y / ((x \ 1) \ 1)). [hyper(58,a,1184,a(flip),b,5083,a)]. 5087 x \ (x / y) = 1 / L(y,y,x). [hyper(178,a,5084,a(flip)),flip(a)]. 5088 x * (1 / L(y,y,x)) = x / y. [hyper(127,a,5087,a)]. 5089 L(x \ 1,1 / x,y) = L(x,x,y) \ 1. [hyper(58,a,2461,a,b,5085,a)]. 5090 (x * y) \ x = y \ a(y,x,y \ 1). [hyper(272,a,4121,a(flip),b,5086,a)]. 5091 K(x,(x / y) \ z) = K(x,(y \ x) \ z). [hyper(3924,a,5046,a),flip(a)]. 5092 K(x,((y \ x) \ x) \ z) = K(x,y \ z). [para(72(a,1),5091(a,1,2,1)),flip(a)]. 5093 (((x * y) \ 1) / y) / y = y \ ((x \ (y \ 1)) / y). [hyper(3627,a,5047,a)]. 5094 (x * y) * (x / y) = y * ((x / y) * x). [para(4085(a,1),5049(a,1,2)),flip(a)]. 5095 (1 / x) \ ((x / y) \ 1) = x * ((1 / y) \ (1 / x)). [para(4096(a,1),5051(a,2,2))]. 5096 (x / (y \ 1)) * T(y,z) = x * (y * T(y,z)). [hyper(272,a,4739,a(flip),b,5052,a),flip(a)]. 5097 (x / (y \ 1)) * T(y,y \ 1) = T(y * (x * y),y). [hyper(272,a,4997,a(flip),b,5096,a),flip(a)]. 5098 ((x / y) \ 1) \ (1 / x) = x * (y \ (1 / x)). [hyper(4636,a,5063,a)]. 5099 x * ((y \ x) \ (1 / x)) = (y \ 1) \ (1 / x). [para(72(a,1),5098(a,1,1,1)),flip(a)]. 5100 x \ ((y \ 1) \ (1 / x)) = (y \ x) \ (1 / x). [hyper(117,a,5099,a)]. 5101 x \ ((y \ 1) \ (1 / x)) != z | (y \ x) \ (1 / x) = z. [para(5099(a,1),287(a,1,2))]. 5102 T(x * ((y \ z) \ (1 / (y \ z))),z \ y) = ((y \ z) \ x) * (1 / (y \ z)). [hyper(4488,a,5066,a)]. 5103 T(x \ (y \ (1 / y)),y \ 1) = (y \ (x \ 1)) * (1 / y). [para(4286(a,1),5066(a,1,1))]. 5104 T(x,y) * (T(x,y) * ((y * y) * T(x,y))) = (y * x) * (T(x,y) * (T(x,y) * y)). [para(2778(a,1),5067(a,1,1)),flip(a)]. 5105 (x * ((1 / y) * x)) * y = y * ((x * (y \ 1)) * x). [hyper(58,a,4695,a(flip),b,5068,a),flip(a)]. 5106 ((x * ((1 / y) * x)) * y) * y = y * (x * T(x,y \ 1)). [para(5068(a,1),2778(a,1,1))]. 5107 x * (x * (y \ (1 / x))) = y \ ((x \ 1) \ 1). [hyper(114,a,4866,a(flip),b,5072,a(flip))]. 5108 x * (x * (y \ (1 / x))) = y \ T(x,x \ 1). [hyper(272,a,265,a,b,5107,a),flip(a)]. 5109 (x * y) \ ((x \ 1) \ 1) = x * ((y / (1 / x)) \ 1). [para(4867(a,1),5107(a,1,2)),flip(a)]. 5110 x \ T(y,y \ 1) != y * z | y * (x \ (1 / y)) = z. [para(5108(a,1),38(a,1))]. 5111 (x \ 1) * (y \ (x \ 1)) = ((y * x) \ 1) / x. [hyper(32,a,3582,a,b,5093,a)]. 5112 (((x \ 1) \ y) * x) \ 1 = ((y * x) \ 1) / x. [hyper(58,a,4179,a,b,5111,a)]. 5113 (((x \ 1) * y) \ 1) / y = ((x / y) \ y) \ 1. [para(4670(a,1),5112(a,1,1)),flip(a)]. 5114 L(x / y,x,x) \ 1 = (1 / y) \ (1 / x). [hyper(4271,a,5095,a)]. 5115 (x \ 1) \ (y / (x \ 1)) = x * (y * x). [hyper(1993,a,5097,a(flip))]. 5116 x * ((((x \ 1) * y) * z) * x) = y * (z * ((x \ 1) \ 1)). [hyper(1143,a,5115,a),flip(a)]. 5118 L(x \ T(y,z),x,z \ 1) = ((1 / z) * x) \ (y / z). [hyper(58,a,2449,a(flip),b,2930,a)]. 5119 L(x * (y / x),x \ y,x \ y) != z | x * (1 / (x / y)) = z. [para(2950(a,2),4113(a,1))]. 5126 (x * K(y,z)) \ (x * T(y,u)) = K(z,y) * T(y,u). [para(4794(a,1),3926(a,1,1))]. 5127 x / (K(y,z) * T(z,u)) = (x / T(z,u)) * K(z,y). [para(5126(a,1),273(a,1,2))]. 5128 (x / T(y,z)) * K(y,y * z) = x / R(y,z,y). [para(3177(a,1),5127(a,1,2)),flip(a)]. 5129 (x / T(y,y * z)) * K(y,z) = x / L(y,z,y). [para(3595(a,1),5127(a,1,2)),flip(a)]. 5130 (x / T(y,z)) * T(y,y * z) = (x / R(y,z,y)) * y. [para(5128(a,1),3699(a,1,1)),flip(a)]. 5131 K(x * y,x) * K(x,y) = x / L(x,y,x). [para(2670(a,2),5129(a,1,1))]. 5132 (x * K(y * z,y)) * K(y,z) = (x * y) / L(y,z,y). [para(3979(a,1),5129(a,1,1))]. 5133 x / L(x,y,x) = x \ R(x,y,x). [hyper(58,a,4263,a(flip),b,5131,a),flip(a)]. 5134 (x \ R(x,y,x)) \ x = L(x,y,x). [hyper(172,a,5133,a)]. 5135 x \ R(x,y,x) != z | L(x,y,x) \ x = z. [para(5133(a,1),2500(a,1))]. 5137 T(x,(y \ a(y,z,u)) \ 1) = T(x,(z * (u * (y \ 1))) \ (z * u)). [para(1184(a,1),4465(a,2,2,1)),flip(a)]. 5138 (x * T(y,z)) / (y * z) = R(x / z,T(z,y),y). [para(3711(a,1),4748(a,1,1))]. 5139 R((x * y) / y,T(y,z),z) = R(x,y,T(z,y)). [hyper(737,a,5138,a),flip(a)]. 5140 R(x,T(y,z),z) = R(x,y,T(z,y)). [para(6(a,1),5139(a,1,1))]. 5141 R(x,y \ z,T(y,y \ z)) = R(x,z / y,y). [para(2775(a,1),5140(a,1,2)),flip(a)]. 5142 R(x,y \ z,T(y,y \ z)) = ((x * (z / y)) * y) / z. [hyper(272,a,95,a,b,5141,a),flip(a)]. 5143 R(x,y \ z,T(y,y \ z)) = (R(x,z / y,y) * u) / u. [hyper(272,a,6,a,b,5141,a),flip(a)]. 5144 L(K(x,y),z,z) * (x / z) = T(x,y) / z. [para(4(a,1),4759(a,2,1))]. 5146 L(x \ (y / z),x,z \ 1) = ((1 / z) * x) \ ((z \ y) / z). [para(2775(a,1),5118(a,1,1,2))]. 5147 (x * K(y,z)) * K(z,z * y) = (x / R(z,y,z)) * z. [hyper(58,a,3989,a(flip),b,5130,a)]. 5148 R(x,K(y,z),L(z,u,w)) = x. [hyper(453,a,2712,a)]. 5149 ((x * L(x,y,z)) * u) / x = L(x,y,z) * T(u,x). [hyper(1138,a,2941,a)]. 5150 L(x \ ((y * (z * z)) / x),((x \ 1) * z) * z,((x \ 1) * z) * z) = (x \ y) / (1 / (((x \ 1) * z) * z)). [para(3285(a,1),2966(a,1,1))]. 5151 (1 / x) * ((x * x) * y) = ((x \ 1) \ 1) * y. [hyper(33,a,4705,a,b,3365,a),flip(a)]. 5153 (T(x,y) \ (1 / T(x,y))) / T(y,T(x,y) \ 1) = T(x \ (y \ 1),y) * (T(x,y) \ 1). [para(4353(a,1),3386(a,2,1))]. 5154 (x \ (1 / x)) / T(y,x \ 1) != z | x \ (1 / (x * y)) = z. [para(3386(a,2),4924(a,1))]. 5155 (1 / x) / ((x \ 1) \ y) = (1 / x) * ((1 / y) / x). [para(4641(a,1),3416(a,1,2)),flip(a)]. 5156 (1 / x) / ((x \ 1) \ y) = (x \ (1 / y)) / x. [hyper(272,a,376,a(flip),b,5155,a),flip(a)]. 5157 T(((x * x) * ((1 / x) * y)) * ((1 / x) * y),x * x) = x * ((y * (((1 / x) * y) * x)) / x). [hyper(3602,a,3417,a)]. 5158 (x * x) * (((x * x) \ y) * z) = x * (((x \ y) * (z * x)) / x). [para(3261(a,1),3417(a,1,2,1))]. 5159 T(x,((y * y) / z) \ 1) = x * K(x,y \ (y \ z)). [para(3477(a,1),3403(a,1,2)),flip(a)]. 5160 1 / (x * T(y,y \ 1)) = y \ (1 / x). [hyper(31,a,4600,a(flip),b,3546,a),flip(a)]. 5161 (x * (y / (1 / x))) \ 1 = x \ (y \ (1 / x)). [hyper(4157,a,3655,a)]. 5162 (x \ 1) * ((x / (y \ 1)) \ 1) = x \ (y \ (1 / x)). [para(4203(a,1),3655(a,1,2))]. 5163 L(x \ (1 / y),y,y) = (y / (x \ 1)) \ 1. [hyper(29,a,2030,a,b,5162,a)]. 5164 ((x / (y \ 1)) \ 1) / x = (y \ (1 / x)) * (1 / x). [hyper(113,a,5163,a(flip),b,2006,a)]. 5165 x \ (y * ((1 / x) \ y)) = ((1 / x) * (y * x)) * y. [para(4590(a,1),3826(a,1,2))]. 5166 x * (((1 / x) * (y * x)) * y) = y * ((1 / x) \ y). [hyper(127,a,5165,a)]. 5167 x * (T(y,x \ 1) * y) = y * ((1 / x) \ y). [para(3033(a,1),5166(a,1,2,1))]. 5168 x * (y * T(y,x \ 1)) = y * ((1 / x) \ y). [para(218(a,1),5167(a,1,2))]. 5169 x / (K(y,T(x,z)) * K(x,z)) = T(x * K(z,x),y). [para(2652(a,2),3960(a,1,2,1,2))]. 5170 T(x * K(y,x),z) \ x = K(z,T(x,y)) * K(x,y). [hyper(172,a,5169,a)]. 5171 T((x * y) / x,z) \ y = K(z,T(y,x)) * K(y,x). [para(2684(a,2),5170(a,1,1,1))]. 5172 (x * x) * (K(y,x \ 1) * z) = x * (T(1 / x,y) \ z). [para(2369(a,1),4002(a,1,2,1))]. 5173 K(x,x * y) * (K(y,x) * z) = L(x,y,x) * (x \ z). [hyper(58,a,4792,a(flip),b,4034,a),flip(a)]. 5174 (x / (x * y)) \ (x * y) = x * ((1 / y) \ y). [hyper(58,a,5075,a(flip),b,4057,a),flip(a)]. 5175 (x * (y * (z * T(z \ (y \ (x \ u)),w)))) \ u = K(w,(x * (y * z)) \ u). [para(785(a,1),4073(a,1,1,2))]. 5176 (x / y) * (((y \ x) \ x) * z) = (y \ x) * (y * z). [para(2775(a,1),4081(a,1,1))]. 5177 (x * T(y,L(z * K(y,z),y,x))) \ (x * (y * (z * K(y,z)))) = L(z,y,x). [hyper(272,a,2759,a(flip),b,4093,a),flip(a)]. 5178 L(x \ (1 / x),y,y) \ 1 = L((1 / x) \ x,y,y). [para(3007(a,1),4124(a,1,1)),flip(a)]. 5179 L((1 / x) \ x,y,y) = (x \ (1 / x)) \ 1. [para(4285(a,1),5178(a,1,1)),flip(a)]. 5180 L((1 / x) \ x,y,y) = x * ((x \ 1) \ 1). [hyper(272,a,4097,a(flip),b,5179,a),flip(a)]. 5182 L((1 / x) \ x,y,y) = (1 / x) \ x. [hyper(272,a,3007,a(flip),b,5180,a),flip(a)]. 5183 (x \ 1) * ((1 / y) \ y) = x \ ((1 / y) \ y). [hyper(114,a,5182,a(flip),b,2013,a)]. 5184 ((x * y) * x) / (y * x) = (y * x) \ (x * (x * y)). [para(3502(a,1),4183(a,1,1))]. 5185 (x * y) \ (y * (y * x)) = R(y,x,y). [hyper(457,a,5184,a),flip(a)]. 5186 (x * y) \ (x * (y * y)) = R(y,x,y). [para(2956(a,2),5185(a,1,2))]. 5187 R(x,y,x) = L(x,x,y). [hyper(430,a,5186,a),flip(a)]. 5188 R(x,y,x) != z | L(x,x,y) = z. [para(5186(a,1),430(a,1))]. 5189 x \ T(y * K(x,z),x) = y * (K(x,z) * (x \ 1)). [para(2774(a,2),4310(a,1,2))]. 5190 (x * K(y,z)) * (y \ 1) = x * (K(y,z) * (y \ 1)). [hyper(2979,a,5189,a)]. 5191 (x * K(y,z)) * (y \ 1) = x * (T(y,z) \ 1). [para(3886(a,1),5190(a,2,2))]. 5192 T(x,y) * (T(y,z) \ 1) = (y \ x) * K(y,z). [hyper(58,a,4939,a(flip),b,5191,a),flip(a)]. 5193 x * ((y * (y * (z / x))) * x) = T(z,x) * ((x * y) * y). [hyper(272,a,3280,a,b,4326,a),flip(a)]. 5194 K((x \ (y / (z \ 1))) \ 1,y) = x \ (((y \ (x / z)) * y) * z). [para(2402(a,1),4331(a,1,2)),flip(a)]. 5195 x \ (x \ (x / (y \ 1))) = x * (1 / ((y \ x) * x)). [para(5065(a,1),4361(a,1,2)),flip(a)]. 5196 L(x,y \ z,y \ z) != u | L(x,z \ y,z \ y) = u. [para(4665(a,1),4470(a,1))]. 5197 L(x,y \ x,y \ x) = y * ((x \ y) \ 1). [hyper(5196,a,2017,a)]. 5198 T(x,y \ ((z * u) * u)) = T(x,y \ ((u * u) * z)). [hyper(4488,a,4473,a),flip(a)]. 5199 T(T(x,y) * T(z,x),x) = x \ ((x * T(x,y)) * z). [hyper(58,a,3179,a(flip),b,4505,a)]. 5200 T(K(x,y) * (z * x),x) = x \ ((x * T(x,y)) * z). [para(3176(a,2),5199(a,1,1))]. 5201 ((x / (y \ 1)) \ 1) / x = (y \ (x \ 1)) * (x \ 1). [para(4981(a,1),4519(a,1,1))]. 5202 (x \ (1 / y)) * (1 / y) = (x \ (y \ 1)) * (y \ 1). [hyper(58,a,5164,a(flip),b,5201,a)]. 5203 ((x / y) \ (y \ 1)) * (y \ 1) = T(x,y) \ (1 / y). [hyper(58,a,3301,a(flip),b,5202,a),flip(a)]. 5204 (x \ ((x \ y) \ 1)) * (x \ 1) = T(y,x) \ (1 / x). [para(4351(a,1),5203(a,1,1))]. 5205 x \ (((x \ y) \ 1) / x) = T(y,x) \ (1 / x). [hyper(709,a,5204,a)]. 5206 (x * y) * (x \ (1 / x)) = x * (y * (x \ (1 / x))). [para(684(a,1),4540(a,1,2,2)),flip(a)]. 5207 x \ ((x * y) * (x \ (1 / x))) = y * (x \ (1 / x)). [hyper(112,a,5206,a,b,xx)]. 5208 (x * y) * (x \ (1 / x)) = ((x \ 1) \ 1) \ y. [hyper(4976,a,5207,a),flip(a)]. 5210 x \ ((x * y) * ((x \ 1) * (x \ 1))) = y * (x \ (1 / x)). [para(684(a,2),5207(a,1,2,2))]. 5211 ((x \ 1) \ 1) \ (x \ y) = y * (x \ (1 / x)). [hyper(485,a,5208,a),flip(a)]. 5212 ((x \ 1) \ 1) \ (x \ (y / x)) = (x \ (x \ y)) / x. [hyper(272,a,4542,a(flip),b,5211,a),flip(a)]. 5213 T(x,y * (z \ (1 / z))) = T(x,z \ (z \ y)). [para(5211(a,1),3648(a,1,2))]. 5214 (x * (y \ (1 / y))) * (1 / y) = y \ ((y \ x) / y). [para(5211(a,1),4885(a,1,1))]. 5215 T(x,(y \ (z / y)) / y) = T(x,y \ (y \ (y \ z))). [para(4541(a,1),5213(a,1,2))]. 5216 T(x \ 1,x \ y) \ z = K(y,x) * ((x \ 1) \ z). [para(2236(a,1),4575(a,1,1))]. 5217 K(x,y) * ((y \ 1) \ z) = (T(y,x) \ 1) \ z. [hyper(58,a,3444,a(flip),b,5216,a),flip(a)]. 5218 K(x,y) * ((x \ 1) \ z) = (T(x,y) \ 1) \ z. [para(28(a,1),5217(a,1,1))]. 5219 (T(x,y) \ 1) \ (z * x) = K(x,y) * ((x * z) * x). [para(3502(a,1),5218(a,1,2)),flip(a)]. 5220 (T(x,y) \ 1) \ (z * x) = (T(x,y) * z) * x. [hyper(272,a,4293,a(flip),b,5219,a),flip(a)]. 5221 (T(x,y) * (z / x)) * x = (T(x,y) \ 1) \ z. [para(7(a,1),5220(a,1,2)),flip(a)]. 5222 (x \ 1) * (x \ (K(y,x \ 1) * z)) = T(x \ 1,y) * (x \ z). [para(3971(a,2),4577(a,1,2))]. 5223 T(x,y) \ (y * T(x,z)) = y * K(x,z). [hyper(3963,a,4612,a),flip(a)]. 5224 (x * T(y,z)) / (x * K(y,z)) = T(y,x). [hyper(178,a,5223,a)]. 5225 K(T(x,y),z) * y = y * K(x,z). [hyper(58,a,3228,a(flip),b,5223,a)]. 5226 T(K(T(x,y),z),y) = K(x,z). [hyper(215,a,3228,a(flip),b,5223,a(flip))]. 5227 K(T(x,y),z) = T(K(x,z),y). [hyper(2782,a,5226,a),flip(a)]. 5228 x * K(T(y,x),z) = K(y,z) * x. [para(5226(a,1),2778(a,1,1)),flip(a)]. 5229 x \ (K(y,z) * x) = K(T(y,x),z). [hyper(272,a,17,a(flip),b,5227,a)]. 5230 T(K(x,y),z) * T(x,z) = T(T(x,z),y). [para(5227(a,1),2741(a,2,1)),flip(a)]. 5231 T(K(T(x,y),z),y) != u | K(x,z) = u. [para(5227(a,2),2810(a,1,1))]. 5232 (K(x,y) * z) * K(T(y,z),x) = z. [para(5227(a,2),2883(a,1,2))]. 5233 (K(x,y) * z) * K(y,T(x,z)) = z. [hyper(3914,a,5228,a)]. 5234 (K(x,y) * z) \ z = K(y,T(x,z)). [para(5228(a,1),3899(a,1,1))]. 5235 (K(x,y) * z) \ z != u | K(y,T(x,z)) = u. [para(5228(a,1),3924(a,1,1))]. 5236 x * K(y,T(z,x)) = K(y,z) * x. [hyper(3914,a,5232,a)]. 5238 K(x,T(y,z)) = T(K(x,y),z). [hyper(3239,a,5233,a),flip(a)]. 5239 K(T(x,y),z) = K(x,T(z,y)). [hyper(29,a,5232,a,b,5233,a)]. 5240 K(x,K(y,z)) * K(z,y) = K(z,T(y,x)). [hyper(272,a,3871,a,b,5238,a)]. 5241 K(T(x,x \ y),z) = K(x,T(z,y)). [hyper(272,a,3853,a,b,5238,a)]. 5242 K((x \ y) \ y,z) = K(x,T(z,y)). [hyper(272,a,3851,a,b,5238,a)]. 5243 K(T(x,y),T(z,y)) = K(x,z). [hyper(272,a,5226,a(flip),b,5238,a),flip(a)]. 5244 K(x,y) * K(z,K(x,y)) = K(x,T(y,z)). [hyper(272,a,2652,a(flip),b,5238,a)]. 5245 K(x,T(y,y \ z)) = T(K(x,y),z). [hyper(58,a,4455,a,b,5238,a)]. 5246 K(x,T(y,z) \ 1) = T(K(x,y \ 1),z). [hyper(58,a,4490,a(flip),b,5238,a)]. 5247 T(K(x,y / z),y) = K(x,z \ y). [hyper(58,a,4447,a(flip),b,5238,a),flip(a)]. 5248 T(K(x,T(y,z)),z) = K(x,y). [hyper(2782,a,5238,a(flip))]. 5249 x * T(K(x,y),z) = T(x,T(y,z)). [hyper(114,a,5238,a(flip),b,2672,a(flip))]. 5250 K(x,T(T(y,z),u)) = T(K(x,T(y,u)),z). [para(18(a,1),5238(a,1,2))]. 5251 T(K(x,y \ z),y) = K(x,z / y). [para(2775(a,1),5238(a,1,2)),flip(a)]. 5252 K(x,T(y,z)) * z = z * K(x,y). [para(5238(a,2),2778(a,1,1))]. 5254 K(K(x,y),z) * (K(x,y) * u) = K(x,T(y,z)) * u. [para(5238(a,2),2750(a,2,1))]. 5255 K(x,y) * K(y,T(x,z)) = K(z,K(x,y)). [para(5238(a,2),4071(a,1,2))]. 5256 (x * (y * K(z,u))) / (x * y) = L(K(z,T(u,x * y)),y,x). [para(5238(a,2),2818(a,2,1))]. 5257 K(x,T(y,z)) = K(y,T(x,z)). [hyper(508,a,5239,a)]. 5259 K(T(x,y),z \ 1) = K(x,y \ (z \ y)). [hyper(272,a,4448,a(flip),b,5239,a),flip(a)]. 5260 K(T(x,y),y / z) = K(x,z \ y). [hyper(272,a,4447,a(flip),b,5239,a),flip(a)]. 5261 x * K(T(x,y),z) = T(x,T(z,y)). [hyper(114,a,5239,a,b,2672,a(flip))]. 5262 T(x,y) \ T(T(x,z),y) = K(x,T(z,y)). [hyper(58,a,2734,a,b,5239,a)]. 5263 T(x,y) * K(x,T(z,y)) = T(T(x,y),z). [hyper(114,a,5239,a(flip),b,2672,a(flip))]. 5264 K(T(x,y),T(z,u)) = K(x,T(T(z,y),u)). [para(18(a,1),5239(a,2,2))]. 5265 K(T(x,y),L(z,u,w)) = K(x,L(T(z,y),u,w)). [para(20(a,2),5239(a,2,2))]. 5266 K(x,T(y,L(x,z,u))) = K(x,y). [para(156(a,1),5239(a,1,1)),flip(a)]. 5267 K(T(x,y),z / y) = K(x,y \ z). [para(100(a,1),5239(a,2,2))]. 5268 K(x,T(y,z)) != u | K(y,T(x,z)) = u. [para(5239(a,1),508(a,1))]. 5269 K(L((x \ y) \ y,z,u),w) = K(L(x,z,u),T(w,x \ y)). [para(271(a,1),5239(a,1,1))]. 5270 K(R(x,y,R(x,z,u)),T(w,y * R(x,z,u))) = K(T(x,y),w). [para(1441(a,1),5239(a,1,1)),flip(a)]. 5271 K(T(x,y),K(y,z)) = K(x,K(y,z)). [para(1895(a,1),5239(a,2,2))]. 5272 K(x,T(y,T(z,x))) = K(T(x,z),y). [para(2229(a,1),5239(a,1,1)),flip(a)]. 5273 K(x,T(y,z)) * y = T(y,T(x,z)). [para(5239(a,1),2692(a,2,1)),flip(a)]. 5274 K((x * y) / x,z) = K(y,T(z,x)). [para(2774(a,1),5239(a,1,1))]. 5275 K(x \ y,T(z,x)) = K(y / x,z). [para(2775(a,1),5239(a,1,1)),flip(a)]. 5278 K(x,T(y,z)) * T(x,z) = T(T(x,y),z). [para(5239(a,1),2801(a,1,1))]. 5279 (x * K(y,T(z,u))) \ (x * z) = T(z,T(y,u)). [para(5239(a,1),3980(a,1,1,2))]. 5280 x / K(y,T(z,u)) != w | x * K(z,T(y,u)) = w. [para(5239(a,1),3916(a,1,2))]. 5281 K(x,T(T(y,z),z)) = K(x,y). [hyper(58,a,5239,a(flip),b,5243,a)]. 5282 T(T(x,y),T(z,y)) = T(x,y) * K(x,z). [hyper(114,a,5243,a(flip),b,2672,a(flip)),flip(a)]. 5283 K(L(T(x,y),z,u),T(w,y)) = K(L(x,z,u),w). [para(20(a,2),5243(a,1,1))]. 5284 K(T(x,y),L(T(z,y),u,w)) = K(x,L(z,u,w)). [para(20(a,2),5243(a,1,2))]. 5285 K(T(x,y),R(T(z,y),u,w)) = K(x,R(z,u,w)). [para(22(a,2),5243(a,1,2))]. 5286 a(x,T(y,z),K(u,y)) = 1. [para(5243(a,1),2662(a,1,3))]. 5287 R(x,T(y,z),K(u,y)) = x. [para(5243(a,1),3658(a,1,3))]. 5288 R(x,K(y,z),L(T(z,u),w,v5)) = x. [para(5243(a,1),5148(a,1,2))]. 5289 L(K(x,y),T(y,z),u) = K(x,y). [hyper(47,a,5286,a)]. 5290 R(x,T(y,z),K(u,y)) != w | x = w. [para(5287(a,1),46(a,2))]. 5291 T(K(x,y),z) != u | K(x,T(y,z)) = u. [para(5248(a,1),2810(a,1,1))]. 5292 K(x,T(y,x \ z)) = K(y,T(x,z)). [hyper(272,a,4455,a(flip),b,5257,a),flip(a)]. 5293 K(x,T(y,z)) != u | K(T(x,z),y) = u. [para(5257(a,1),508(a,1))]. 5295 T(x,T(T(y,z),z)) = x * K(x,y). [hyper(114,a,5281,a(flip),b,2672,a(flip)),flip(a)]. 5296 K(x,T(L(T(y,z),u,w),z)) = K(x,L(y,u,w)). [para(20(a,2),5281(a,1,2,1))]. 5297 K(x,T(y \ z,y)) = K(x,z / y). [para(100(a,1),5281(a,1,2,1))]. 5298 K(x,R(T(T(y,z),z),u,w)) = K(x,R(y,u,w)). [para(662(a,2),5281(a,1,2))]. 5299 K(x,T((y / z) \ 1,z)) = K(x,y \ z). [para(2768(a,1),5281(a,1,2,1))]. 5300 T(x * K(y,x),L(y,z,u)) = T(x,L(y,z,u)) * K(y,x). [para(5266(a,1),3221(a,1,2)),flip(a)]. 5301 L(K(x,y / z),z \ y,u) = K(x,y / z). [para(100(a,1),5289(a,1,2))]. 5302 (x \ y) * K(z,T(x,x \ y)) = T(x,z) \ y. [hyper(272,a,3885,a(flip),b,5236,a),flip(a)]. 5303 K(x,y) * (z * K(y,T(x,z))) = z. [hyper(114,a,5236,a,b,3882,a)]. 5304 K(x,T(y,z)) * K(y,u) = K(y,u) * K(x,T(y,z)). [para(1896(a,1),5236(a,1,2,2)),flip(a)]. 5305 K(x \ y,z) * K(u,y / x) = K(u,y / x) * K(x \ y,z). [para(1901(a,1),5236(a,1,2,2))]. 5306 K(x,y \ z) * y = y * K(x,z / y). [para(2775(a,1),5236(a,1,2,2)),flip(a)]. 5308 K(x,T(y,x \ z)) = K(x,T(y,z)). [hyper(58,a,5239,a(flip),b,5241,a)]. 5310 T(K(x,y),y * z) = K(x,T(y,z)). [para(4(a,1),5245(a,1,2,2)),flip(a)]. 5311 K(x,R(x,y,z) / u) = K(x,u \ R(x,y,z)). [hyper(2862,a,5247,a)]. 5312 T(x,y) * K(K(x,y),z) = T(x,T(y,z)). [hyper(4238,a,5249,a)]. 5315 K(T(x,y),z) * (y * K(z,x)) = y. [hyper(3894,a,5252,a)]. 5316 T(x,T(y,z)) * z = x * (z * K(x,y)). [hyper(114,a,5252,a(flip),b,2748,a),flip(a)]. 5317 K(x,L(T(y,z),u,w)) * z = z * K(x,L(y,u,w)). [para(20(a,2),5252(a,1,1,2))]. 5318 R(T(K(x,T(y,z)),z * u),z,u) = (z * u) \ ((z * K(x,y)) * u). [para(5252(a,1),546(a,1,2,1)),flip(a)]. 5319 K(x,L(L(x,y,z),u,w) / v5) = K(x,v5 \ L(L(x,y,z),u,w)). [para(197(a,1),5260(a,1,1))]. 5321 x * T(K(x,y),x * z) = T(x,T(y,z)). [para(3854(a,2),5261(a,1,2))]. 5322 (x / (y / z)) * K(u,z \ y) = x / T(y / z,T(u,z)). [para(5267(a,1),3931(a,1,2))]. 5323 T(x,y) * K(x,K(y,z)) = T(T(x,y),K(y,z)). [hyper(114,a,5271,a(flip),b,2672,a(flip))]. 5324 K(x,T(T(y,z),u)) * T(y,u) = T(T(y,u),T(x,z)). [para(18(a,1),5273(a,1,1,2))]. 5325 K(L((x \ y) / z,z,x),u) = K((x * z) \ y,T(u,z)). [para(742(a,2),5274(a,1,1))]. 5326 K(x / L(y,z,u),y) = K(L(y,z,u) \ x,y). [para(156(a,1),5275(a,1,2)),flip(a)]. 5328 x \ (((y \ x) * y) * L(T(y,z),u,w)) = K(y \ x,y) * L(T(y,z),u,w). [para(5288(a,1),469(a,1,1))]. 5329 R(x,y,1 / z) != u | R(x,y,z \ 1) = u. [para(2618(a,1),5290(a,1))]. 5330 T(x,T(T(y,z),z)) = T(x,y). [hyper(272,a,2674,a,b,5295,a),flip(a)]. 5331 T(x,y * K(z,y)) = T(x,T(y,z)). [para(2685(a,1),5330(a,1,2,1)),flip(a)]. 5333 K(x,T(y,x * z)) = K(x,T(y,z)). [para(4(a,1),5308(a,1,2,2)),flip(a)]. 5334 K(x,y) * K(y,T(x,z)) = K(x * z,K(x,y)). [para(5310(a,1),4071(a,1,2))]. 5336 K(x,T((x * y) \ z,y)) = K(x,z / (x * y)). [hyper(58,a,5297,a(flip),b,5333,a),flip(a)]. 5337 K(T(x,y),T(z,y)) != u | K(x,z) = u. [para(5238(a,2),5231(a,1))]. 5338 K(T(x,y),z) != u | K(x,T(z,y)) = u. [para(5248(a,1),5231(a,1))]. 5340 K(x,T(y,x \ z)) != u | K(x,T(y,z)) = u. [para(5292(a,2),5268(a,1))]. 5342 K(x,T(y,y \ z)) != u | K(x,T(y,z)) = u. [para(5245(a,2),5291(a,1))]. 5343 K(x,y / z) != u | K(x,T(z \ y,z)) = u. [para(5251(a,1),5291(a,1))]. 5344 K(L(T(x,y),z,u),T(w,y)) != v5 | K(L(x,z,u),w) = v5. [para(20(a,2),5337(a,1,1))]. 5345 K(T(x,y),L(T(z,y),u,w)) != v5 | K(x,L(z,u,w)) = v5. [para(20(a,2),5337(a,1,2))]. 5346 K(T(x,y),R(T(z,y),u,w)) != v5 | K(x,R(z,u,w)) = v5. [para(22(a,2),5337(a,1,2))]. 5347 K(x,T(y,x)) != z | K(x,y) = z. [para(97(a,1),5337(a,1,1))]. 5348 K(x,T(y,L(x,z,u))) != w | K(x,y) = w. [para(156(a,1),5337(a,1,1))]. 5349 K(T(x,y),y \ z) != u | K(x,z / y) = u. [para(100(a,1),5337(a,1,2))]. 5350 K(x,x \ (y * x)) != z | K(x,y) = z. [para(17(a,1),5347(a,1,2))]. 5351 K(x,L(T(y,x),z,u)) != w | K(x,L(y,z,u)) = w. [para(20(a,2),5347(a,1,2))]. 5352 K(x,R(T(y,x),z,u)) != w | K(x,R(y,z,u)) = w. [para(22(a,2),5347(a,1,2))]. 5354 K(x,x / y) != z | K(x,y \ x) = z. [para(4456(a,1),5347(a,1))]. 5355 T(x,y) \ T(T(x,z),y) != u | K(x,T(z,y)) = u. [para(2734(a,2),5338(a,1))]. 5356 K(x,T(y,T(z,x))) != u | K(x,T(y,z)) = u. [para(5272(a,2),5338(a,1))]. 5357 T(x,y * K(x,z)) = T(x,y). [hyper(58,a,3704,a(flip),b,5224,a)]. 5359 K(x,y * K(x,z)) = x \ T(x,y). [hyper(112,a,5357,a(flip),b,2674,a(flip)),flip(a)]. 5361 T(x,T(y,x \ 1)) = T(x,y). [para(3403(a,1),5357(a,1,2))]. 5362 T(x,y * T(z,x)) = T(x,y * z). [para(3659(a,1),5357(a,1,2))]. 5363 T(x,y * T(x,z)) = T(x,y * x). [para(3664(a,1),5357(a,1,2))]. 5364 T(x,T(y,x) * z) = T(x,y * z). [para(3982(a,1),5357(a,1,2)),flip(a)]. 5365 T(x,y * (z / x)) = T(x,y * (x \ z)). [para(3661(a,1),5357(a,1,2))]. 5366 K(x,T(y,z * K(x,u))) = K(T(x,z),y). [para(5357(a,1),5239(a,1,1)),flip(a)]. 5367 T(x,K(x,y) * z) = T(x,z). [para(5236(a,1),5357(a,1,2))]. 5368 T(1 / x,T(y,x)) = T(1 / x,y). [para(74(a,1),5361(a,1,2,2))]. 5369 T(x \ 1,T(y,x)) = T(x \ 1,y). [para(1970(a,1),5361(a,1,2))]. 5370 (x * y) \ T(x,y \ 1) = T(y,x) \ 1. [para(5361(a,1),3485(a,1,1)),flip(a)]. 5371 T(x,T(x,y) * z) = T(x,x * z). [para(2750(a,1),5367(a,1,2))]. 5372 T(x,T(y,x) \ z) = T(x,y \ z). [para(3153(a,1),5367(a,1,2)),flip(a)]. 5373 T(x,T(x,y) \ z) = T(x,x \ z). [para(3174(a,1),5367(a,1,2)),flip(a)]. 5374 K(x,y * K(x,z)) = K(x,y). [hyper(272,a,2672,a,b,5359,a),flip(a)]. 5375 K(x,y * K(z,x)) = K(x,y). [para(28(a,1),5374(a,1,2,2))]. 5376 K(x,y / K(z,x)) = K(x,y). [para(3905(a,2),5374(a,1,2))]. 5377 K(x,T(y,x) * z) = K(x,y * z). [para(3982(a,1),5374(a,1,2)),flip(a)]. 5378 K(x,y * (z / x)) = K(x,y * (x \ z)). [para(3661(a,1),5374(a,1,2))]. 5379 K(x,K(y,x) * z) = K(x,z). [para(5233(a,1),5374(a,1,2)),flip(a)]. 5380 K(x,K(x,y) * z) = K(x,z). [para(5236(a,1),5374(a,1,2))]. 5381 K(x,y \ T(z,x)) = K(x,y \ z). [para(1042(a,1),5375(a,1,2))]. 5382 K(x * K(y,z),z) = 1 / K(z,x). [para(5375(a,1),2880(a,1,2)),flip(a)]. 5383 K(x,y / (z / x)) = K(x,y / (x \ z)). [para(3706(a,1),5375(a,1,2))]. 5384 K(x,y \ K(z,x)) = K(x,y \ 1). [hyper(58,a,4451,a(flip),b,5376,a),flip(a)]. 5385 K(x,K(x,y) \ z) = K(x,z). [para(3882(a,2),5379(a,1,2))]. 5386 K(x,R(K(y,x),z,u) * w) = K(x,w). [para(4815(a,1),5379(a,1,2,1))]. 5387 x / K(y,x) = K(y,z) * T(K(y,z) \ x,y). [para(5385(a,1),3921(a,1,2))]. 5388 T(x,y * T(y,x)) = L(x,y,y). [hyper(272,a,2952,a(flip),b,5362,a),flip(a)]. 5389 T(x,((y / x) * y) * x) = L(x,y,y). [para(4084(a,2),5388(a,1,2))]. 5390 T(x,y * T(x,z)) = T(x,x * y). [hyper(272,a,2315,a(flip),b,5363,a),flip(a)]. 5391 T(x,(y * x) * (z * x)) = T(x,x * ((y * z) * x)). [para(2815(a,1),5364(a,1,2)),flip(a)]. 5392 (x \ 1) * K(y,x \ 1) = T(x \ 1,T(y,x)). [hyper(272,a,2652,a(flip),b,5369,a)]. 5394 L(T(x,y),y,T(x,z)) = T(x,x * y). [hyper(58,a,1122,a,b,5371,a)]. 5395 (T(x,y) * z) / T(x,x * z) = (1 / x) * (T(x,y) * z). [para(5371(a,1),2242(a,1,2))]. 5396 T(x,T(x,y) \ z) = (x \ z) \ z. [hyper(272,a,99,a(flip),b,5373,a),flip(a)]. 5397 K(x,y \ (x \ (z * x))) = K(x,y \ z). [para(17(a,1),5381(a,1,2,2))]. 5398 K(x * K(y,z),z) = K(x,z). [hyper(272,a,2880,a(flip),b,5382,a),flip(a)]. 5399 K(x * K(y,z),y) = K(x,y). [para(28(a,1),5398(a,1,1,2))]. 5400 K(x \ T(y,z),z) = K(x \ y,z). [para(1042(a,1),5398(a,1,1))]. 5401 K(K(x,y) * z,y) = K(z,y). [para(5228(a,1),5398(a,1,1))]. 5402 K(R(x,y,z),u * K(x,w)) = R(x * K(u,x),y,z) \ R(x,y,z). [para(5399(a,1),4327(a,1,1,1,2)),flip(a)]. 5403 K((x / y) \ z,y) = K((y \ x) \ z,y). [para(3950(a,1),5401(a,1,1))]. 5404 R(T(x,x * y),y,T(x,z)) = T(x,y). [para(5390(a,1),1248(a,1,1))]. 5405 T(T(x,y),x \ z) = (T(x,y) \ z) \ z. [para(2765(a,1),5396(a,1,2,1))]. 5406 K(x \ (y \ (z * y)),y) = K(x \ z,y). [para(17(a,1),5400(a,1,1,2))]. 5407 T(1 / x,(y / x) * y) = 1 / L(x,y,y). [para(5389(a,1),3077(a,1,2)),flip(a)]. 5412 K(x,T(y,z)) != u | T(K(x,y),z) = u. [para(5244(a,1),2690(a,1))]. 5414 K(x,T(y \ z,u) \ 1) = T(K(x,z \ y),u). [para(4431(a,1),5246(a,2,1))]. 5415 K(x,R(x,y,z) \ (u \ R(x,y,z))) = K(x,u \ 1). [para(155(a,1),5259(a,1,1)),flip(a)]. 5416 K(x,y \ (z \ y)) != u | K(x,T(z \ 1,y)) = u. [para(5259(a,1),5338(a,1))]. 5417 K(x,y) * T(x,T(z,y)) = T(T(x,y),z). [hyper(4267,a,5263,a)]. 5418 T(T(x,y),z) * K(z,x) = T(x,T(y,z)). [para(5278(a,1),3932(a,1,1))]. 5419 T(x,y) * K(z,K(x,y)) = T(x,T(y,z)). [para(28(a,1),5312(a,1,2))]. 5421 T(x,T(y,x * z)) = T(x,T(y,z)). [hyper(58,a,5249,a(flip),b,5321,a)]. 5422 T(x,T(y,x \ z)) = T(x,T(y,z)). [para(5(a,1),5421(a,1,2,2)),flip(a)]. 5423 T(x * y,T(z,y \ 1)) = T(x * y,T(z,x)). [para(4464(a,1),5422(a,1,2))]. 5424 L(x,y,z) \ L(T(x,T(u,w)),y,z) = K(L(x,y,z),T(u,x \ w)). [para(5422(a,1),2735(a,1,2,1))]. 5425 K(x,T(y,z * K(x,u))) = K(x,T(y,z)). [hyper(272,a,5239,a(flip),b,5366,a),flip(a)]. 5426 (x * (y \ z)) \ T(x,z \ y) = T(y \ z,x) \ 1. [para(4459(a,1),5370(a,1,2))]. 5427 T((x \ y) \ y,z) = (T(x,z) \ y) \ y. [hyper(4242,a,5405,a)]. 5429 K(x,y) * T(T(x,y),z) = T(x,T(z,y)). [hyper(3909,a,5417,a)]. 5430 T(x,y) * T(T(x,y),z) = x * T(x,T(z,y)). [hyper(114,a,5417,a(flip),b,3944,a)]. 5431 K(x,y) * T(T(x,y),z) != u | T(x,T(z,y)) = u. [para(5417(a,1),3919(a,1,2))]. 5432 T(x,y) * T(z,x) = z * T(x,T(y,z)). [hyper(114,a,5418,a(flip),b,4609,a),flip(a)]. 5434 K(x,T(y,z * (u / x))) = K(x,T(y,z * (x \ u))). [para(3661(a,1),5425(a,1,2,2))]. 5438 (T(x \ y,z) \ y) \ y = T(y / x,z). [para(2826(a,1),5427(a,1,1)),flip(a)]. 5440 (T(x \ 1,y) \ z) \ z = T(1 / T(x,z),y). [para(3521(a,1),5427(a,1,1)),flip(a)]. 5441 K(x,y) * (z * x) = z * T(x,T(y,z)). [hyper(58,a,3176,a,b,5432,a)]. 5443 x / T(x / y,z) = T(y \ x,z) \ x. [hyper(178,a,5438,a)]. 5444 (T(a(x \ 1,y,z),u) \ L(x,z,y)) \ L(x,z,y) = T(L(x,z,y) / x,u). [para(1181(a,2),5438(a,1,1,1,1))]. 5446 (x * T(y \ 1,z)) \ x = x \ (x / T(1 / y,z)). [para(5438(a,1),4121(a,1,2,2)),flip(a)]. 5447 ((T(x \ 1,y) \ 1) * (T(x \ 1,y) \ 1)) * ((T(x \ 1,y) \ 1) * (z / (T(x \ 1,y) \ 1))) = (T(1 / x,y) \ z) * (T(x \ 1,y) \ 1). [para(5438(a,1),3504(a,2,1,1))]. 5448 ((x * (T(y \ 1,z) \ 1)) \ 1) / (T(y \ 1,z) \ 1) = T(1 / y,z) * (x \ ((T(y \ 1,z) \ 1) \ 1)). [para(5438(a,1),5111(a,1,1)),flip(a)]. 5449 K(x,y) * (L(y,z,u) * x) = L(y,z,u) * T(x,y). [para(156(a,1),5441(a,2,2,2))]. 5450 K(x,K(y,z)) * (K(y,u) * x) = K(y,u) * T(x,K(y,z)). [para(1494(a,1),5441(a,2,2,2))]. 5451 (x * (y * (1 / x))) / (x \ y) = T(x \ 1,x \ y) \ 1. [hyper(58,a,3838,a,b,5443,a)]. 5453 K(x,(x \ y) * (x \ y)) = x * (1 / L(x,y,y)). [para(5407(a,1),4120(a,1,2)),flip(a)]. 5454 K(x,L(T(T(y,z),z),u,w)) = K(x,L(y,u,w)). [hyper(58,a,5265,a(flip),b,5284,a)]. 5455 K(T(x,y),L(z,u,w)) != v5 | K(x,L(T(z,y),u,w)) = v5. [para(5296(a,1),5337(a,1))]. 5456 K(x,R((y * z) / y,u,w)) = K(x,R(T(z,y),u,w)). [para(205(a,1),5298(a,1,2,1,1)),flip(a)]. 5457 K(x * y,K(x,z)) = K(y,K(x,z)). [hyper(58,a,5255,a(flip),b,5334,a),flip(a)]. 5458 K(x * y,K(x,z)) = K(K(z,x),y). [hyper(272,a,3867,a,b,5457,a),flip(a)]. 5459 K(x * y,K(x,z)) != u | K(y,K(x,z)) = u. [para(5458(a,2),3873(a,1))]. 5461 K(x,T((T(x,y) * y) \ z,(x * y) / x)) = K(x,z / (x * ((x * y) / x))). [para(2306(a,2),5336(a,1,2,1,1))]. 5462 K(x,y) * T(K(x,y) \ z,x) = T(z,x). [hyper(2677,a,5387,a),flip(a)]. 5463 T(K(x,y) * z,x) = K(x,y) * T(z,x). [para(4(a,1),5462(a,1,2,1)),flip(a)]. 5464 K(x / (y * K(z,u)),z) = (y * T(y \ x,z)) / x. [para(5462(a,1),3753(a,1,1,2)),flip(a)]. 5465 K((x * K(y,z)) \ u,y) = u \ (x * T(x \ u,y)). [para(5462(a,1),3848(a,1,2,2)),flip(a)]. 5466 K(x,(y * K(x,z)) \ u) = (y * T(y \ u,x)) \ u. [para(5462(a,1),4073(a,1,1,2)),flip(a)]. 5467 (T(x,y) * z) / x = K(x,y) * T(z,x). [hyper(3193,a,5463,a)]. 5468 T(K(x \ y,x) * z,x \ y) = (y / x) \ (z * (x \ y)). [hyper(272,a,4080,a(flip),b,5463,a),flip(a)]. 5469 x \ ((x * T(x,y)) * z) = K(x,y) * T(z * x,x). [hyper(58,a,5200,a(flip),b,5463,a)]. 5470 T(K(x,y) * L(z,u,w),x) = K(x,y) * L(T(z,x),u,w). [para(20(a,2),5463(a,2,2))]. 5471 T(K(x,y) * z,y) = K(y,x) * T(z,y). [para(28(a,1),5463(a,1,1,1))]. 5472 K(x,y) * T(x \ z,x) = T(T(x,y) \ z,x). [para(3886(a,1),5463(a,1,1)),flip(a)]. 5473 T(x,T(y,z)) * K(y,z) = K(y,z) * T(x,y). [hyper(58,a,3703,a,b,5467,a)]. 5474 K(x / y,y) * T(z,x / y) = ((y \ x) * z) / (x / y). [para(100(a,1),5467(a,1,1,1)),flip(a)]. 5475 (K(x,y) * T(z,x)) * K(x,u) = (T(x,y) * z) / T(x,u). [para(5467(a,1),3987(a,1,1))]. 5476 T(K(x,y) * z,y) = T(y,x) \ (z * y). [hyper(272,a,3948,a,b,5471,a),flip(a)]. 5477 T(K(x,y) * z,y) = K(x,y) * T(z,y). [para(28(a,1),5471(a,2,1))]. 5478 x \ (K(y,x) * (z * x)) = T(K(y,x) * z,x). [hyper(272,a,3892,a,b,5476,a)]. 5479 K(x,T(y \ z,u) \ 1) = K(x,T(z \ y,u)). [hyper(272,a,5238,a,b,5414,a),flip(a)]. 5480 x / T(1 / T(y,x),z) = T(y \ 1,z) \ x. [hyper(178,a,5440,a)]. 5481 K(x,L(T(y \ z,y),u,w)) = K(x,L(z / y,u,w)). [para(100(a,1),5454(a,1,2,1,1))]. 5482 T(T(x,y) \ z,x) = K(x,y) * (z / x). [para(2775(a,1),5472(a,1,2)),flip(a)]. 5483 T(x,K(y,z)) / T(y,z) = K(y,z) * (x / y). [hyper(58,a,4972,a,b,5482,a)]. 5484 x * (K(x,y) * (z / x)) = (T(x,y) \ z) * x. [hyper(114,a,5482,a(flip),b,17,a(flip))]. 5485 T(T(x,y),K(z,y)) = T(x,T(y,z)). [hyper(30,a,3865,a,b,5473,a)]. 5486 T(T(x,K(y,z)),y) = T(x,T(y,z)). [hyper(30,a,2786,a,b,5473,a)]. 5487 T(T(x,y),K(y,z)) = T(x,T(y,z)). [hyper(30,a,2778,a,b,5473,a)]. 5488 T(T(x,T(y,z)),K(z,y)) = T(x,y). [hyper(4064,a,5473,a(flip))]. 5489 T(x,y / z) * K(z \ y,z) = K(z \ y,z) * T(x,z \ y). [para(2775(a,1),5473(a,1,1,2))]. 5490 T(T(x,T(y,z)),K(z,y)) != u | T(x,y) = u. [para(5485(a,1),2810(a,1,1))]. 5491 T(T(x,y),T(y,z)) = T(x,K(y,z)). [hyper(2856,a,5486,a),flip(a)]. 5493 (1 / T(x,K(y,z))) * y = y / T(x,T(y,z)). [para(5486(a,1),2242(a,1,2)),flip(a)]. 5494 T(T(x,y),T(y,z)) != u | T(x,K(y,z)) = u. [para(5486(a,1),2856(a,1))]. 5495 T(x,y) * K(x,K(y,z)) = T(x,T(y,z)). [hyper(58,a,5323,a,b,5487,a)]. 5497 T(T(x,y),K(z,y)) != u | T(x,T(y,z)) = u. [para(5488(a,1),2810(a,1,1))]. 5498 T(T(x,y),T(y,z)) = T(x,K(y,y \ z)). [hyper(58,a,4486,a(flip),b,5491,a)]. 5499 T(T(x,y / z),z \ y) = T(x,K(y / z,z)). [para(100(a,1),5491(a,1,2))]. 5500 T(x,K(y,z)) \ T(y,z) = T(y,z) * (T(x,y) \ 1). [para(5491(a,1),2935(a,1,1))]. 5501 K(x,K(y,z)) = K(z,K(x,y)). [hyper(29,a,5419,a,b,5495,a),flip(a)]. 5502 K(K(x,y),z) = K(x,K(y,z)). [hyper(29,a,5312,a,b,5495,a)]. 5503 K(K(x,y),z) = K(x,K(z,y)). [hyper(3872,a,5501,a)]. 5504 K(x,K(y,z)) = K(y,K(x,z)). [hyper(3870,a,5501,a)]. 5505 K(x,K(y,z)) = K(z,K(y,x)). [hyper(272,a,3869,a,b,5501,a)]. 5506 K(K(x,y),z) = K(y,K(x,z)). [hyper(272,a,3867,a,b,5501,a)]. 5507 x * K(y,K(z,x)) = T(x,K(y,z)). [hyper(114,a,5501,a,b,2672,a(flip))]. 5508 K(x,K(y,z)) * z = T(z,K(x,y)). [para(5501(a,2),2741(a,2,1)),flip(a)]. 5509 K(x,K(y,z)) / y = 1 / T(y,K(z,x)). [para(5501(a,1),2657(a,1,1))]. 5510 K(x,K(y,z)) * (z * u) = T(z,K(x,y)) * u. [para(5501(a,2),2750(a,1,1))]. 5512 K(x,K(y,z)) != u | K(K(x,z),y) = u. [para(5501(a,1),3872(a,1))]. 5513 (x * K(y,K(z,u))) / K(y,z) = x / T(K(y,z),u). [para(5501(a,2),3933(a,1,1,2))]. 5514 K(x,K(y,z)) * K(x,z) = K(x,T(z,y)). [para(5501(a,1),5240(a,1,1))]. 5515 K(x,y) * K(y,K(z,x)) = K(x,T(y,z)). [para(5501(a,1),5244(a,1,2))]. 5516 K(x,y) * K(x,K(y,z)) = K(x,T(y,z)). [para(5501(a,2),5244(a,1,2))]. 5517 K(x * y,K(x,z)) = K(z,K(x,y)). [hyper(58,a,5458,a,b,5502,a)]. 5518 K(x,K(y,z)) != u | K(z,K(x,y)) = u. [para(5502(a,1),508(a,1))]. 5519 K(x,K(y,z)) * z = T(z,K(y,x)). [para(5502(a,1),3860(a,1,1))]. 5520 T(x * T(K(y,z),u),K(u,K(y,z))) = K(y,K(z,u)) * (x * K(y,z)). [para(5502(a,1),3974(a,2,1))]. 5521 K(x,K(y,z)) * y = T(y,K(x,z)). [para(5503(a,1),2692(a,2,1)),flip(a)]. 5523 (x * y) * K(z,K(y,u)) = x * T(y,K(z,u)). [para(5503(a,1),3659(a,1,2))]. 5525 K(x,K(y,z)) != u | K(y,K(z,x)) = u. [para(5503(a,1),3873(a,1))]. 5527 K(x,K(x * y,z)) = K(y,K(x,z)). [hyper(5459,a,5504,a),flip(a)]. 5528 K(x,y) * K(x,K(z,y)) = K(x,T(y,z)). [para(5504(a,1),5244(a,1,2))]. 5529 K(x,K(y,y * z)) = K(z,K(y,x)). [hyper(5459,a,5505,a),flip(a)]. 5530 K(x,K(y,z)) * (K(y,x) * u) = T(K(y,x),z) * u. [para(5505(a,1),2694(a,1,1))]. 5531 K(x,K(y,K(y,z) * u)) = K(u,K(y,x)). [para(5380(a,2),5505(a,1,2))]. 5532 K(K(x,y),T(z,x) * u) = K(y,K(x,z * u)). [para(5377(a,1),5506(a,2,2))]. 5533 T(x,K(y,z)) * z = x * T(z,K(x,y)). [hyper(114,a,5508,a(flip),b,2748,a),flip(a)]. 5534 K(x,K(y,y * z)) = K(x,K(y,z)). [hyper(58,a,5505,a,b,5517,a)]. 5535 K(x,K(y,y \ z)) = K(z,K(y,x)). [para(5(a,1),5517(a,1,1)),flip(a)]. 5536 K(x,K(x * y,z)) = K(z,K(y,x)). [hyper(272,a,5501,a(flip),b,5527,a),flip(a)]. 5537 K(x,K(y,z \ 1)) = K(y,K(z,x)). [para(3397(a,2),5529(a,1,2))]. 5538 K(x,K(y,z \ 1)) = K(x,K(z,y)). [para(3397(a,2),5534(a,1,2))]. 5539 K(x,K(y,x * z)) = K(y,K(z,x)). [hyper(3870,a,5536,a)]. 5540 K(x,K(y,z \ 1)) = K(z,K(x,y)). [hyper(272,a,5501,a,b,5537,a),flip(a)]. 5541 K(x,K(y,z \ 1)) = K(x,K(y,z)). [hyper(272,a,5501,a(flip),b,5537,a),flip(a)]. 5542 K(x \ 1,K(y,z)) = K(y,K(x,z)). [hyper(58,a,5505,a,b,5537,a)]. 5543 K(x,K(y \ z,u)) = K(x,K(u,z \ y)). [para(4431(a,1),5538(a,1,2)),flip(a)]. 5544 K(x,K(y,x * z)) = K(x,K(z,y)). [hyper(272,a,5505,a,b,5539,a),flip(a)]. 5545 K(x,K(y,z \ u)) = K(x,K(y,u \ z)). [para(4431(a,1),5541(a,1,2))]. 5546 T(1 / x,K(y,z)) = K(y,K(x,z)) / x. [para(5542(a,1),3167(a,1,1)),flip(a)]. 5547 (x * y) * K(x,K(y,z)) = T(x * y,K(x,z)). [para(5544(a,1),5507(a,1,2))]. 5548 T(x,K(y,y \ z)) = T(x,K(y,z)). [hyper(58,a,5491,a(flip),b,5498,a),flip(a)]. 5549 T(x,K(y,y * z)) = T(x,K(y,z)). [para(4(a,1),5548(a,1,2,2)),flip(a)]. 5550 T(x,K(y,z * y)) = T(x,K(y,z)). [para(2889(a,1),5548(a,1,2)),flip(a)]. 5551 T(T(x,y * z),K(y,z)) = T(x,T(y * z,y)). [hyper(58,a,5485,a(flip),b,5549,a),flip(a)]. 5552 T(K(x * y,x) * z,K(x,y)) = z * K(x * y,x). [hyper(58,a,3728,a(flip),b,5549,a),flip(a)]. 5553 T(x,K(y,z \ 1)) = T(x,K(z,y)). [para(3397(a,2),5549(a,1,2))]. 5554 T(T(x,T(y * z,z)),K(z,y)) = T(x,y * z). [hyper(58,a,5488,a(flip),b,5550,a),flip(a)]. 5555 T(x,K(y / z,u)) = T(x,K(u,z / y)). [para(4452(a,1),5553(a,1,2)),flip(a)]. 5556 K(x,T(y,z)) * T(K(z,x),y) = K(x,y) * K(z,x). [para(5515(a,1),3927(a,1,1))]. 5557 K(x,K(y,z)) * (K(y,u) * x) = T(K(y,u) * x,K(y,z)). [para(5531(a,1),5519(a,1,1))]. 5558 K(x,K(y,z \ y)) = K(z,K(y,x)). [hyper(272,a,5535,a(flip),b,5545,a),flip(a)]. 5559 K(x,K(y,z \ y)) = K(x,K(z,y)). [hyper(272,a,5501,a(flip),b,5558,a),flip(a)]. 5560 K(x,K(y,z \ y)) != u | K(x,K(z,y)) = u. [para(5558(a,2),5518(a,1))]. 5561 1 / T(x,K(y,z)) = T(1 / x,K(z,y)). [hyper(272,a,5509,a(flip),b,5546,a)]. 5562 1 / T(x,K(y,z)) = T(1 / x,K(y,z)). [hyper(272,a,3858,a,b,5561,a),flip(a)]. 5563 T(x,x * K(y,z)) = T(x,K(z,y)). [hyper(31,a,3336,a,b,5561,a)]. 5564 T(x,x * K(y,z)) = T(x,K(y,z)). [hyper(272,a,3858,a,b,5563,a),flip(a)]. 5565 L(x,K(y,z),x) = x. [hyper(601,a,5564,a)]. 5566 T(x \ 1,K(y,z)) = T(x,K(y,z)) \ 1. [para(5564(a,1),3388(a,1,1)),flip(a)]. 5567 T(x * K(y,z),x) = K(y,z) * x. [para(5565(a,1),2338(a,1,1,1))]. 5569 T(x * x,K(y,z)) = x * x. [para(5565(a,1),4251(a,1,2)),flip(a)]. 5570 T((1 / x) \ x,K(y,z)) = (1 / x) \ x. [para(5565(a,1),4253(a,1,2)),flip(a)]. 5571 K(x * x,K(y,z)) = 1. [hyper(50,a,5569,a)]. 5572 K(x,K(y,z * z)) = 1. [hyper(5525,a,5571,a)]. 5573 K(K(x * x,y),z) = 1. [hyper(5512,a,5571,a)]. 5574 a(x,x,K(y,z)) = 1. [hyper(4805,a,5571,a)]. 5575 a(K(x,y),z,z) = 1. [hyper(4254,a,5574,a)]. 5576 L(K(x,y),z,z) = K(x,y). [hyper(47,a,5574,a)]. 5577 L(x,x,K(y,z)) = x. [hyper(47,a,5575,a)]. 5578 K(x,y) / (z \ 1) = K(x,y) * z. [hyper(114,a,5577,a(flip),b,5083,a(flip)),flip(a)]. 5579 (K(x,y) * z) \ K(x,y) = z \ 1. [para(5577(a,1),5080(a,1,1)),flip(a)]. 5580 K(x,y) * (1 / z) = K(x,y) / z. [para(5577(a,1),5088(a,1,2,2))]. 5581 T(K(x,y * y),z) = K(x,y * y) * 1. [hyper(114,a,5572,a(flip),b,2651,a(flip)),flip(a)]. 5582 K(a(x,x,y),z) = 1. [para(4211(a,1),5573(a,1,1))]. 5583 T(a(x,x,y),z) = a(x,x,y). [hyper(51,a,5582,a)]. 5585 (x \ 1) \ (x \ K(y,z)) = K(y,z). [hyper(2041,a,5576,a)]. 5586 (x \ 1) * K(y,z) = x \ K(y,z). [hyper(114,a,5576,a(flip),b,2013,a)]. 5587 (1 / x) \ K(y,z) = x * K(y,z). [hyper(114,a,5576,a(flip),b,1998,a),flip(a)]. 5588 (x * x) * K(y,z) = x * (x * K(y,z)). [hyper(114,a,5576,a(flip),b,13,a(flip))]. 5590 (x * (K(y,z) * u)) / u = u * ((u \ x) * K(y,z)). [para(5576(a,1),2027(a,1,2,2)),flip(a)]. 5591 K(x,y) * (x / z) = T(x,y) / z. [para(5576(a,1),5144(a,1,1))]. 5592 T(x,a(y,y,z)) = x. [hyper(49,a,5583,a)]. 5593 a(x,x,y) / (z \ 1) = z * a(x,x,y). [hyper(114,a,5583,a(flip),b,2928,a),flip(a)]. 5594 a(x,x,y) * z = z * a(x,x,y). [hyper(114,a,5583,a(flip),b,2313,a(flip)),flip(a)]. 5595 x * a(y,y,z) != u | a(y,y,z) * x = u. [para(5583(a,1),248(a,1,2))]. 5596 a(x,x,y) * z != u | z * a(x,x,y) = u. [para(5583(a,1),2808(a,1,1))]. 5598 a(x,x,y) * (z * (a(x,x,y) \ 1)) = z. [hyper(4750,a,5592,a)]. 5599 T(x,a(y,z,z)) = x. [para(4217(a,1),5592(a,1,2))]. 5600 a(x,y,y) * z = z * a(x,y,y). [hyper(1665,a,5599,a),flip(a)]. 5601 T(x,a(y,z,z)) != u | x = u. [para(5599(a,1),44(a,2))]. 5602 a(x,y,y) * z != u | z * a(x,y,y) = u. [para(5599(a,1),248(a,1,2))]. 5603 a(x,y,y) * (z \ 1) = z \ a(x,y,y). [para(5599(a,1),2935(a,1,1)),flip(a)]. 5604 x * a(y,z,z) != u | a(y,z,z) * x = u. [para(5599(a,1),2808(a,1,1))]. 5605 (K(x,y) * z) * z = z * (z * K(x,y)). [para(5567(a,1),2778(a,1,1))]. 5607 (T(x,y) \ z) \ 1 = (x \ z) \ K(x,y). [para(3174(a,1),5579(a,1,1)),flip(a)]. 5609 (K(x,y) * z) \ 1 = z \ K(y,x). [para(3880(a,1),5579(a,1,1)),flip(a)]. 5610 (K(x,y) * z) \ 1 = z \ K(x,y). [para(3893(a,1),5579(a,1,1)),flip(a)]. 5611 (T(x,y) \ z) \ K(x,y) = (x \ z) \ 1. [para(3886(a,1),5579(a,1,1))]. 5612 K(x,y) * (K(x,y) / z) = 1 / z. [hyper(3909,a,5580,a)]. 5613 1 / (x / K(y,z)) = K(y,z) / x. [hyper(29,a,3322,a(flip),b,5580,a),flip(a)]. 5614 T(x,y) * (1 / z) = x * (K(x,y) / z). [hyper(114,a,5580,a(flip),b,2748,a),flip(a)]. 5615 (x \ K(y,z)) * K(y,z) = x \ 1. [hyper(34,a,3911,a,b,5585,a)]. 5617 x * ((y \ 1) * K(z,u)) = x * (y \ K(z,u)). [para(5585(a,1),137(a,1,2,2))]. 5618 x * ((y \ 1) * K(z,u)) != w | x * (y \ K(z,u)) = w. [para(5585(a,1),288(a,1,2,2))]. 5619 (K(x,y) * (z * K(x,y))) * z = (K(x,y) * z) * (K(x,y) * z). [para(5587(a,1),4619(a,1,1,2))]. 5620 K(x,y) * (T(x,y) / z) = x / z. [hyper(3909,a,5591,a)]. 5621 K(x,y) * (T(y,x) / z) = y / z. [hyper(3894,a,5591,a)]. 5622 K(x,y) * (x \ (x / z)) = x \ (T(x,y) / z). [hyper(112,a,5591,a(flip),b,3197,a),flip(a)]. 5623 T(x,y) / (z \ x) = K(x,y) * z. [para(72(a,1),5591(a,1,2)),flip(a)]. 5624 K(x,y) * (x \ (x / z)) = T(x,y) / (z * x). [para(3305(a,1),5591(a,1,2))]. 5625 T(x,y) / T(z \ 1,x * z) = K(x,y) * ((z \ 1) \ x). [para(3547(a,1),5591(a,1,2)),flip(a)]. 5627 a(x,x,y) * (x * (x * y)) = (x * x) * y. [hyper(272,a,79,a(flip),b,5594,a),flip(a)]. 5628 x * (a(y,y,z) * u) = x * (u * a(y,y,z)). [hyper(114,a,5594,a,b,4,a)]. 5629 a(x,x,y) * z = z * a(y,x,x). [para(4244(a,2),5594(a,2,2))]. 5630 1 / (x \ K(y,z)) = K(z,y) * x. [hyper(178,a,5609,a)]. 5631 1 / (x \ K(y,z)) = K(y,z) * x. [hyper(178,a,5610,a)]. 5632 K(x,y \ K(z,u)) = K(x,y \ K(u,z)). [para(5610(a,1),4443(a,1,2))]. 5634 1 / (K(x,y) * z) = (1 / z) * K(x,y). [hyper(3073,a,5612,a),flip(a)]. 5635 K(x,y) / (1 / z) = (z \ K(x,y)) \ 1. [para(5612(a,1),3491(a,1,2))]. 5636 K(x,y) * (1 / z) != u | K(x,y) / z = u. [para(5612(a,1),3919(a,1,2))]. 5637 K(x,y) / (x * y) = 1 / (y * x). [para(168(a,1),5613(a,1,2)),flip(a)]. 5638 1 / (x * K(y,z)) = K(y,z) / x. [para(3923(a,1),5613(a,1,2))]. 5639 (x * K(y,z)) \ 1 = K(y,z) * (x \ 1). [hyper(3098,a,5615,a),flip(a)]. 5640 (1 / (x * K(y,z))) \ K(y,z) = x. [hyper(30,a,74,a(flip),b,5615,a),flip(a)]. 5641 1 / (K(x,y) / z) = (z \ 1) \ K(x,y). [para(5615(a,1),3470(a,1,1)),flip(a)]. 5643 K(x,x \ y) * ((y / x) / z) = (x \ y) / z. [para(2775(a,1),5621(a,1,2,1))]. 5644 (K(x,y) * z) \ T(x,y) = z \ x. [hyper(172,a,5623,a)]. 5645 L(x,y \ K(z,u),y \ K(z,u)) * (K(z,u) * y) = x / (y \ K(z,u)). [para(5631(a,1),2972(a,1,2))]. 5646 K(x,K(y,z) \ u) = K(x,K(y,z) * u). [para(5631(a,1),4434(a,1,2)),flip(a)]. 5647 ((x * y) * (x * y)) * (1 / (y * x)) = y * x. [para(5637(a,1),3271(a,1,2))]. 5648 L(x,K(y,z),x) = (1 / (x * K(u,w))) \ K(u,w). [hyper(272,a,5565,a,b,5640,a)]. 5649 (x * y) \ T(x,y) = (y * x) \ x. [para(2561(a,1),5644(a,1,1))]. 5650 (T(x,y) * z) \ T(x,y) = (x * z) \ x. [para(2750(a,1),5644(a,1,1))]. 5651 T(x,K(y,z)) \ T(y,z) = (x * K(z,y)) \ y. [para(2981(a,1),5644(a,1,1))]. 5652 (K(x,y) * z) \ y = z \ T(y,x). [para(3880(a,1),5644(a,1,1)),flip(a)]. 5653 (K(x,y) * z) \ x = z \ T(x,y). [para(3893(a,1),5644(a,1,1)),flip(a)]. 5654 (T(x,y) * z) \ x = (x * z) \ T(x,y). [para(3888(a,1),5644(a,1,1)),flip(a)]. 5655 (K(x,y) / z) \ x = (1 / z) \ T(x,y). [para(5612(a,1),5644(a,1,1)),flip(a)]. 5656 (x * y) \ T(x,y) = T(y \ 1,x). [hyper(272,a,2258,a,b,5649,a),flip(a)]. 5657 (K(x,x \ y) * z) \ (x \ y) = z \ (y / x). [para(2775(a,1),5652(a,2,2))]. 5658 (1 / T(x,y)) \ T(x,y) = (1 / x) \ x. [para(2742(a,1),5653(a,1,1)),flip(a)]. 5659 T(K(x,y * y),z) = K(x,y * y). [hyper(272,a,3,a(flip),b,5581,a),flip(a)]. 5660 K(x,T(y * y,z)) = K(x,y * y). [hyper(5291,a,5659,a)]. 5661 K(x,T(y * y,z)) = a(y,y,x). [hyper(272,a,4210,a(flip),b,5660,a),flip(a)]. 5662 K(x,T(y * y,z)) != u | a(x,y,y) = u. [para(5660(a,2),4255(a,1))]. 5663 K(x * x,T(y,z)) = a(x,x,y). [hyper(5268,a,5661,a)]. 5664 a(x,x,T(y,z)) = a(x,x,y). [hyper(4805,a,5663,a)]. 5665 a(x,x,T(y,z)) = a(y,x,x). [hyper(272,a,4244,a,b,5664,a),flip(a)]. 5666 T(x,y) \ T(x,y \ 1) = a(x,y,y). [hyper(58,a,4216,a(flip),b,5665,a)]. 5668 a(x,y,x \ 1) = a(y,x,x). [hyper(58,a,4749,a(flip),b,5666,a)]. 5669 (x * y) \ x = y \ a(x,y,y). [para(5668(a,1),5090(a,2,2))]. 5670 (x \ a(y,x,x)) * y = x \ y. [para(5669(a,1),3299(a,1,1))]. 5671 (x \ a(x,x,y)) * y = x \ y. [para(4244(a,1),5670(a,1,1,2))]. 5672 ((x * (x * K(y,z))) * u) / (K(y,z) * u) = R(x * x,K(y,z),u). [para(5588(a,1),15(a,2,1,1)),flip(a)]. 5673 ((x * (y * y)) * K(z,u)) / (y * (y * K(z,u))) = R(x,y * y,K(z,u)). [para(5588(a,1),15(a,2,2)),flip(a)]. 5674 (x * (x * K(y,z))) * L(u,K(y,z),x * x) = (x * x) * (K(y,z) * u). [para(5588(a,1),87(a,1,1))]. 5675 (x * (y * (y * K(z,u)))) * a(x,y * y,K(z,u)) = (x * (y * y)) * K(z,u). [para(5588(a,1),79(a,1,1,2))]. 5676 a(x,x,y) * (z * a(x,x,y)) = z. [para(4527(a,1),5598(a,1,2,2))]. 5677 (a(x,x,y) * z) * a(x,x,y) = z. [hyper(323,a,5676,a),flip(a)]. 5678 x * a(y,y,z) != u | a(y,y,z) * u = x. [para(5677(a,1),39(a,1)),flip(a)]. 5679 (x \ (y * (x * (x * K(z,u))))) / x = ((1 / x) * y) * (K(z,u) * x). [para(5605(a,1),749(a,1,1,2,2))]. 5680 x * ((x \ y) * L(K(z,u) * x,x,x)) = (y * (x * (x * K(z,u)))) / x. [para(5605(a,1),2027(a,2,1,2))]. 5681 (x \ L(T(x,y),z,u)) \ K(x,y) = L(T(x,y),z,u) \ T(x,y). [hyper(2541,a,5607,a),flip(a)]. 5682 (x \ 1) * (K(x \ 1,y) / x) = T(1 / x,y) / x. [hyper(58,a,4338,a(flip),b,5614,a),flip(a)]. 5683 (1 / (x / y)) * K(x,z) = 1 / (T(x,z) / y). [para(5591(a,1),5634(a,1,2)),flip(a)]. 5684 T(K(x,y) * (z \ 1),z * K(x,y)) = 1 / (z * K(x,y)). [para(5639(a,1),2775(a,1,1))]. 5685 K(x,K(y,z) * u) = K(x,K(z,y) * u). [para(3882(a,1),5646(a,1,2))]. 5686 (x * (T(x,y) / z)) \ x = z / T(x,y). [hyper(3326,a,5650,a),flip(a)]. 5687 x \ T(x,K(y,z) * u) = K(x,K(z,y) * u). [hyper(2686,a,5685,a)]. 5688 K(x,K(y,z) * (z * u)) = K(x,T(z,y) * u). [para(2750(a,1),5685(a,1,2)),flip(a)]. 5689 x / (y / T(x,z)) = x * (T(x,z) / y). [hyper(178,a,5686,a)]. 5690 x / (y * K(x,z)) = T(x,z) / y. [hyper(3994,a,5689,a)]. 5691 x * (T(x,x \ y) / y) = x / (x \ y). [para(239(a,1),5689(a,1,2)),flip(a)]. 5692 (x \ T(y,z)) * K(y,z) = x \ y. [hyper(31,a,161,a,b,5690,a),flip(a)]. 5693 (x \ y) * K(z,y) = x \ T(y,z). [hyper(3914,a,5692,a)]. 5695 K(x,y \ T(z,z \ 1)) = K(x,y \ z). [para(5692(a,1),2425(a,1,2)),flip(a)]. 5697 (x \ T(y,z)) * T(y,z) = (x \ y) * y. [para(5692(a,1),3699(a,1,1)),flip(a)]. 5698 (x \ y) \ (x \ T(y,z)) = K(y,z). [para(5692(a,1),3911(a,1,1))]. 5699 (x \ T(y,z)) * y = (x \ y) * T(y,z). [para(5692(a,1),3938(a,1,1)),flip(a)]. 5700 (1 / (x \ y)) \ K(y,z) = x \ T(y,z). [para(5692(a,1),5640(a,1,1,2))]. 5701 K(x,y) * (z \ T(y,x)) = T(z \ y,K(x,y)). [hyper(215,a,5693,a,b,3893,a),flip(a)]. 5702 (x \ y) * K(y,z) = x \ T(y,z). [para(28(a,1),5693(a,1,2))]. 5704 (x \ (y \ z)) * K(y,y \ z) = x \ (z / y). [para(2775(a,1),5693(a,2,2))]. 5705 T(x \ 1,y) * K(y,z) = (x * y) \ T(y,z). [hyper(114,a,5698,a(flip),b,2280,a)]. 5706 (x \ y) * K(y,z) != u | x \ T(y,z) = u. [para(5698(a,1),230(a,1,2))]. 5707 x * ((y \ 1) * K(x,z)) = T(y,x) \ T(x,z). [hyper(58,a,4305,a(flip),b,5702,a)]. 5708 (x \ y) / T(y,z) = (y * x) \ T(y,z). [hyper(58,a,3997,a(flip),b,5702,a)]. 5709 (x / y) * (y * K(x,z)) = T(x,z). [hyper(114,a,174,a(flip),b,5702,a(flip))]. 5710 x \ T(x * y,z) = y * K(x * y,z). [para(4(a,1),5702(a,1,1)),flip(a)]. 5711 K(x,y) * ((y \ T(x,y)) \ z) = (y \ x) \ z. [para(5702(a,1),4445(a,1,2,1))]. 5712 x * (y * K(x * y,z)) = T(x * y,z). [para(6(a,1),5709(a,1,1))]. 5713 (x * y) * (K(y,x) * K(y * x,z)) = T(y * x,z). [para(168(a,1),5709(a,1,1))]. 5714 T(x,x \ y) / y = T(y \ x,x \ y). [hyper(29,a,4909,a,b,5691,a),flip(a)]. 5715 K(x,y \ ((z \ 1) \ 1)) = K(x,y \ z). [para(99(a,1),5695(a,1,2,2))]. 5716 K(x,y \ (1 / z)) = K(x,y \ (z \ 1)). [para(557(a,1),5695(a,1,2,2)),flip(a)]. 5717 (T(x,y) / z) * T(T(x,y) / z,z) = z \ ((z \ x) * x). [para(5697(a,1),5027(a,2,2))]. 5719 K((x \ 1) \ y,z) = K(x * y,z). [hyper(4573,a,5710,a)]. 5720 x * (y * K(x * y,z)) != u | T(x * y,z) = u. [para(5710(a,1),230(a,1,2))]. 5721 T(x * K(y * x,z),y) = y \ T(x * y,z). [para(5710(a,1),2206(a,1,1))]. 5722 K((1 / x) * y,z) = K(x \ y,z). [para(74(a,1),5719(a,1,1,1)),flip(a)]. 5723 K((x \ 1) * y,z) = K(x \ y,z). [hyper(58,a,2421,a(flip),b,5722,a)]. 5724 (x * y) * K(x * y,z) = x * (y * K(x * y,z)). [hyper(272,a,2674,a(flip),b,5712,a)]. 5726 T(x,x \ y) / y = T(y \ x,y / x). [hyper(272,a,1732,a,b,5714,a),flip(a)]. 5727 L(x \ y,x \ y,x \ y) = T(y,y \ x) / x. [hyper(2037,a,5714,a(flip))]. 5728 (((x \ y) \ 1) \ 1) \ z = (T(y,y \ x) / x) \ z. [para(5714(a,2),1554(a,1,1)),flip(a)]. 5729 K(x,y \ L(z,z,u)) = K(x,y \ (u \ (u / (1 / z)))). [para(5079(a,1),5715(a,1,2,2)),flip(a)]. 5730 (x \ 1) * (x \ K(y,x \ (x \ 1))) = T(x \ (1 / x),y). [para(5716(a,1),4044(a,1,2,2))]. 5731 T(x,T(y,x)) != z | T(x,y) = z. [para(1896(a,1),5490(a,1))]. 5734 x * a(y,z,z) != u | a(z,z,y) * x = u. [para(4244(a,2),5595(a,1,2))]. 5735 L(x,y,x) != z | x * a(y,x,x) = z. [para(3809(a,1),5602(a,1))]. 5736 (x \ y) / T(y,z) != u | (y * x) \ T(y,z) = u. [para(3997(a,1),5706(a,1))]. 5737 (K(x,y) * z) * y = K(x,y) * (z * y). [hyper(33,a,17,a(flip),b,5478,a)]. 5738 L(x,y,K(z,x)) = x. [hyper(2469,a,5737,a)]. 5739 (K(x,L(y,z,u)) * (u * z)) \ (K(x,L(y,z,u)) * (u * (z * y))) = L(y,z,u). [hyper(58,a,427,a,b,5738,a)]. 5740 L(x,y,K(x,z)) = x. [para(28(a,1),5738(a,1,3))]. 5741 (K(x,y) * z) / y = K(x,y) * (z / y). [para(5738(a,1),471(a,1,2))]. 5742 (K(x,y) * z) * x = K(x,y) * (z * x). [hyper(114,a,5740,a(flip),b,13,a(flip))]. 5743 L(R(x,y,z),u,K(x,w)) = R(x,y,z). [para(5740(a,1),24(a,1,1)),flip(a)]. 5744 (K(x,y) * z) / x = K(x,y) * (z / x). [para(5740(a,1),471(a,1,2))]. 5746 R(K(x,y),z,L(R(x,u,w),z,K(x,y))) = (K(x,y) * (z * R(x,u,w))) / (z * R(x,u,w)). [para(5743(a,1),428(a,1,2,2)),flip(a)]. 5747 R(K(x,y),z,x) = K(x,y). [hyper(453,a,5742,a)]. 5748 (x * x) * (K(x,y) * (z / x)) = (K(x,y) * z) * x. [hyper(114,a,5744,a(flip),b,3263,a)]. 5749 x / T(1 / a(x \ 1,y,z),u) = T(a(x \ 1,y,z) \ 1,u) \ x. [para(2513(a,1),5480(a,1,2,1,2))]. 5750 (T(x,y) \ z) * x = T(x,y) * (z / x). [hyper(3192,a,5484,a),flip(a)]. 5751 (T(x,y) * (z / x)) * K(x,u) = (T(x,y) \ z) * T(x,u). [para(5750(a,1),3664(a,1,1))]. 5752 ((T(x,y) * (z / x)) * x) * T(x,u) = (x * x) * ((T(x,y) \ z) * T(x,u)). [para(5750(a,1),4037(a,1,1,1))]. 5753 T(T(x,y \ z),z / y) = T(x,K(z / y,y)). [hyper(354,a,5499,a)]. 5754 K(x,K(y,z)) * (T(z,y) * u) = T(T(z,y),K(x,y)) * u. [para(2887(a,1),5510(a,1,1,2))]. 5755 T(x * y,K(x,z)) = x * T(y,K(x,z)). [hyper(58,a,5523,a(flip),b,5547,a),flip(a)]. 5756 T(x,K(y,z)) / y = T(x / y,K(y,z)). [hyper(2204,a,5755,a)]. 5757 T(x * y,K(y,z)) / y = T(x,K(y,z)). [para(6(a,1),5756(a,2,1))]. 5758 T(x * y,K(y,z)) = T(x,K(y,z)) * y. [hyper(125,a,5757,a),flip(a)]. 5759 T(x * y,K(y,z)) = T(x,K(z,y)) * y. [hyper(272,a,3864,a,b,5758,a),flip(a)]. 5760 T(x / T(y,x),K(x,z)) = T(1 / y,K(x,z)) * x. [para(2242(a,2),5758(a,1,1))]. 5761 T(x * y,K(y,z)) = x * T(y,K(x,z)). [hyper(272,a,5533,a(flip),b,5759,a),flip(a)]. 5762 T(x * y,K(y,z)) != x * u | T(y,K(x,z)) = u. [para(5761(a,2),38(a,1))]. 5763 T(x,y) / (z * x) = x \ (T(x,y) / z). [hyper(58,a,5622,a(flip),b,5624,a),flip(a)]. 5764 ((1 / x) / y) * (1 / x) = ((x \ 1) / y) * (x \ 1). [para(5643(a,1),1780(a,1,1)),flip(a)]. 5765 (x / y) * ((x / y) / z) = (y \ x) * ((y \ x) / z). [para(5643(a,1),3157(a,1,2)),flip(a)]. 5766 K(x,(y / x) / z) = K(x,(x \ y) / z). [para(5643(a,1),5380(a,1,2)),flip(a)]. 5767 ((x * y) * (x * y)) / (y * x) = y * x. [hyper(3384,a,5647,a)]. 5768 (x * y) * (x * y) != z | (y * x) * (y * x) = z. [para(5767(a,1),227(a,1,1))]. 5769 (x * (y / x)) \ (x \ y) = y \ (y / x). [para(3762(a,1),5657(a,1,1))]. 5770 (T(x,x \ y) / z) \ (y / x) = (x / z) \ (x \ y). [para(5620(a,1),5657(a,1,1)),flip(a)]. 5771 (1 / (x / L(T(x,y),z,u))) * K(x,y) = 1 / (L(T(x,y),z,u) \ T(x,y)). [para(2497(a,1),5683(a,2,2))]. 5772 T(x,K(y,z) * u) = T(x,K(z,y) * u). [hyper(33,a,2672,a(flip),b,5687,a)]. 5773 K(x,K(y,z) * u) != w | K(x,K(z,y) * u) = w. [para(5687(a,1),2691(a,1))]. 5774 T(x,K(y,z) * (z * u)) = T(x,T(z,y) * u). [para(2750(a,1),5772(a,1,2)),flip(a)]. 5775 K(x,T(y,z) * z) = K(x,z * y). [para(2561(a,1),5688(a,1,2)),flip(a)]. 5776 K(x,((y * z) / y) * u) = K(x,T(z,y) * u). [para(3185(a,1),5688(a,1,2))]. 5777 T(x,T(y,z) * z) = x * K(x,z * y). [hyper(114,a,5775,a(flip),b,2672,a(flip)),flip(a)]. 5778 T(x,T(y,z) * z) = T(x,z * y). [hyper(272,a,2674,a,b,5777,a),flip(a)]. 5779 T(x,T(y,z) * z) != u | T(x,z * y) = u. [para(5777(a,2),2737(a,1))]. 5780 T(x,y * x) != z | T(x,x * y) = z. [para(5364(a,1),5779(a,1))]. 5781 L(x,y,z * (u \ (1 / w))) = L(x,y,z * (u \ (w \ 1))). [para(5704(a,1),2453(a,1,3,2))]. 5782 T(x,y \ (1 / z)) = T(x,y \ (z \ 1)). [para(5704(a,1),3644(a,1,2))]. 5783 T(x,y \ (1 / y)) = L(x,y,y). [hyper(272,a,4401,a(flip),b,5782,a),flip(a)]. 5784 T(x,y \ ((z \ 1) \ 1)) = T(x,y \ z). [para(72(a,1),5782(a,1,2,2)),flip(a)]. 5785 T(x,y \ ((z \ K(u,w)) \ 1)) = T(x,y \ (K(u,w) * z)). [para(5631(a,1),5782(a,1,2,2)),flip(a)]. 5786 T(x * y,x \ (1 / x)) = (x \ 1) \ y. [hyper(272,a,2002,a(flip),b,5783,a),flip(a)]. 5787 T(x,y \ T(1 / z,u)) = T(x,y \ T(z \ 1,u)). [para(1616(a,1),5784(a,1,2,2)),flip(a)]. 5788 (T(x \ 1,y) * K(y,z)) * (T(y,z) / (x * y)) = (T(y,z) * (T(y,z) / (x * y))) / (x * y). [para(5705(a,2),4730(a,2,1)),flip(a)]. 5789 T(x,y) \ T(y,z) = y * (x \ K(y,z)). [hyper(58,a,5617,a(flip),b,5707,a),flip(a)]. 5790 x * (T(y,x) \ (1 / x)) = y \ K(x,x \ 1). [hyper(5110,a,5789,a)]. 5791 K(x,y) * ((T(y,x) \ x) \ z) = (y \ x) \ z. [para(2245(a,2),5711(a,1,2,1))]. 5792 T(T(x,y \ z),z / y) = T(x,K(y,z / y)). [hyper(272,a,3858,a,b,5753,a),flip(a)]. 5793 T(x,(y * K(z,y)) * u) = T(x,T(y,z) * u). [para(2700(a,2),5774(a,1,2))]. 5794 K(x,T(T(y,z),z) * u) = K(x,y * u). [para(206(a,1),5776(a,1,2,1)),flip(a)]. 5795 x \ K(y,y \ 1) = ((y * x) \ 1) * y. [hyper(58,a,4649,a(flip),b,5790,a),flip(a)]. 5796 (x \ 1) * (K(y,y \ 1) * z) = (((y * x) \ 1) * y) * z. [para(5795(a,1),2131(a,2,1))]. 5797 T(T(x,y \ z),z / y) = T(x,K(y,y \ z)). [para(2890(a,1),5792(a,2,2))]. 5798 T(x,T(T(y,z),z) * u) = T(x,y * u). [para(2745(a,1),5793(a,1,2,1)),flip(a)]. 5799 T(T(x,y \ z),z / y) = T(x,K(y,z)). [hyper(272,a,5548,a(flip),b,5797,a),flip(a)]. 5800 T(T(x,y \ z),K(y,z)) = T(x,z / y). [para(2765(a,1),5799(a,1,1)),flip(a)]. 5801 a(x,x \ y,x \ y) = x * (1 / L(x,y,y)). [hyper(4255,a,5453,a)]. 5803 L(x,K(y,z),x) * (u * (x * K(w,v5))) = (x * K(w,v5)) * ((K(w,v5) * u) * (x * K(w,v5))). [para(5648(a,2),27(a,1,1))]. 5804 K(x,K(y,z)) * (K(z,y) * u) = K(z,T(y,x)) * u. [para(3867(a,1),5254(a,1,1))]. 5805 K(x,K(y,z)) * (K(x,y) * u) = K(x,T(y,z)) * u. [para(5502(a,1),5254(a,1,1))]. 5806 T((x * y) / x,z) \ y = K(y,x) * K(z,T(y,x)). [hyper(58,a,5171,a,b,5304,a)]. 5807 (x \ (x / T(1 / y,z))) * x = T(y \ 1,z) \ x. [para(5446(a,1),3299(a,1,1))]. 5808 K(x,((y * z) * u) / (y * u)) = K(x,R(T(z,y),y,u)). [para(94(a,1),5456(a,1,2))]. 5809 K(x / (y * K(z,u)),z) = K(x / y,z). [hyper(272,a,3752,a(flip),b,5464,a),flip(a)]. 5810 K(x / (K(y,z) * u),z) = K(x / u,z). [para(5233(a,1),5809(a,1,1,2)),flip(a)]. 5811 K(x,y / (K(z,x) * u)) = w / (K(y / u,x) * w). [para(5810(a,1),3883(a,1,2,1)),flip(a)]. 5812 K((x * K(y,z)) \ u,y) = K(x \ u,y). [hyper(272,a,3675,a(flip),b,5465,a),flip(a)]. 5813 K((x * ((y * z) / y)) \ u,y) = K((x * z) \ u,y). [para(3660(a,1),5812(a,1,1,1))]. 5814 K((T(x,y) * z) \ u,y) = K((x * z) \ u,y). [para(3982(a,1),5812(a,1,1,1)),flip(a)]. 5815 K((K(x,y) * z) \ u,y) = K(z \ u,y). [para(5233(a,1),5812(a,1,1,1)),flip(a)]. 5816 K(L(x \ y,x,K(z,u)),u) = K(x \ (K(z,u) * y),u). [para(89(a,2),5815(a,1,1))]. 5817 K(x,(y * K(x,z)) \ u) = K(x,y \ u). [hyper(272,a,3918,a(flip),b,5466,a),flip(a)]. 5818 K(x,(y * x) \ z) = K(x,(x * y) \ z). [para(81(a,1),5817(a,1,2,1)),flip(a)]. 5819 K(x,(y * (z / x)) \ u) = K(x,(y * (x \ z)) \ u). [para(3661(a,1),5817(a,1,2,1))]. 5820 K(x,(K(y,x) * z) \ u) = K(x,z \ u). [para(5233(a,1),5817(a,1,2,1)),flip(a)]. 5821 K(x,(K(x,y) * z) \ u) = K(x,z \ u). [para(5236(a,1),5817(a,1,2,1))]. 5822 T(x,K(y,z)) \ T(y,z) = K(y,z) * (x \ y). [hyper(272,a,3206,a(flip),b,5500,a),flip(a)]. 5823 (x * K(y,z)) \ z = K(z,y) * (x \ z). [hyper(58,a,5651,a(flip),b,5822,a)]. 5824 K(x,y) * ((z \ 1) \ x) = (z \ K(y,x)) \ x. [para(5586(a,1),5823(a,1,1)),flip(a)]. 5825 T(K(x,y),z) * T(y,x) = K(y,K(x,z)) * y. [para(2668(a,1),5530(a,1,2)),flip(a)]. 5826 T(K(x,y),z) * T(y,x) = T(y,K(x,z)). [hyper(272,a,2741,a,b,5825,a),flip(a)]. 5827 K(x,T(y,z)) * T(y,x) = T(y,K(x,z)). [para(5238(a,2),5826(a,1,1))]. 5828 T(K(x,T(y,z)) * y,x) = T(y,K(x,z)). [hyper(58,a,5463,a,b,5827,a)]. 5829 T(x * K(y,T(x,z)),y) = T(x,K(y,z)). [para(4063(a,1),5828(a,1,1))]. 5830 K(x,T(y,z)) * K(z,T(x,y)) = K(x,y) * K(z,x). [para(5238(a,2),5556(a,1,2))]. 5831 (x \ 1) * T(1 / x,y) = T(1 / x,y) / x. [para(3167(a,1),5682(a,1,2))]. 5832 (x * (y * K(x * y,z))) \ (x * (y * K(x * y,z))) = a(x,y,K(x * y,z)). [hyper(112,a,5724,a(flip),b,79,a)]. 5833 T(x,y \ z) * (1 / (y \ z)) = (T(z,z \ y) / y) \ x. [hyper(58,a,4279,a(flip),b,5728,a)]. 5834 (x * x) * (K(x,y) * (z / x)) = K(x,y) * (z * x). [hyper(272,a,5742,a(flip),b,5748,a),flip(a)]. 5835 T(x / T(y,x),K(x,z)) = (1 / T(y,K(x,z))) * x. [para(5562(a,2),5760(a,2,1))]. 5836 x \ (((y \ 1) / x) * (y \ 1)) = (x \ (1 / y)) * (x \ (1 / y)). [hyper(112,a,5764,a(flip),b,4085,a)]. 5837 T(x \ y,x / y) \ (x / y) = (y / x) \ (y \ x). [para(5726(a,1),5770(a,1,1))]. 5838 K(x,K(y,z)) * (u * K(x,y)) = K(x,T(y,z)) * T(u,K(y,x)). [para(3862(a,1),5805(a,1,2))]. 5839 K(x,K(y,z)) * T(x,T(u,y)) = K(x,T(y,z)) * T(T(x,y),u). [para(5429(a,1),5805(a,1,2))]. 5840 K(x,y) * K(L(x,z,u) * y,T(x,y)) = L(x,y,L(x,z,u)) \ x. [para(1362(a,1),5806(a,1,1)),flip(a)]. 5841 K(x,y / (K(z,x) * u)) = K(x,y / u). [hyper(272,a,3883,a(flip),b,5811,a),flip(a)]. 5842 K(x,y / ((x \ z) * x)) = K(x,y / z). [para(2555(a,1),5841(a,1,2,2))]. 5843 K(x,y / (z * x)) = K(x,y / (x * z)). [para(2561(a,1),5841(a,1,2,2))]. 5844 K(x,y / (x * (z / x))) = K(x,y / z). [para(76(a,1),5842(a,1,2,2)),flip(a)]. 5845 (x \ 1) / (x \ K(x,(y * (x \ z)) \ u)) = K((y * (z / x)) \ u,x). [para(5819(a,1),3422(a,1,2,2))]. 5846 K(x,y) * ((z * x) * x) = (x * x) * (K(x,y) * z). [para(6(a,1),5834(a,1,2,2)),flip(a)]. 5847 T(x / T(y,x),K(x,z)) = x / T(y,T(x,z)). [hyper(272,a,5493,a(flip),b,5835,a),flip(a)]. 5848 x / T(T(y,x),T(x,z)) = T(x / y,K(x,z)). [para(2765(a,1),5847(a,1,1,2)),flip(a)]. 5849 x / T(y,K(x,z)) = T(x / y,K(x,z)). [para(5491(a,1),5848(a,1,2))]. 5850 (x / y) * ((x \ y) \ 1) = (y / x) \ (y \ x). [hyper(3049,a,5837,a)]. 5851 K(T(x,y),L((y \ 1) * z,u,w)) != v5 | K(x,L(z * (1 / y),u,w)) = v5. [para(3127(a,1),5345(a,1,2,1))]. 5852 x \ ((1 / ((1 / x) / y)) / x) = T(1 / (x / y),x \ 1). [hyper(58,a,5043,a(flip),b,4651,a)]. 5853 ((x \ 1) * y) * (x \ (1 / x)) = (x * x) \ (x \ y). [hyper(272,a,4030,a(flip),b,4682,a),flip(a)]. 5854 (x \ 1) * ((x \ 1) * ((x \ 1) * y)) = (x * x) \ (x \ y). [hyper(3614,a,5853,a)]. 5855 ((x * x) \ (y * x)) * (y * x) = (y * ((1 / x) \ y)) / x. [hyper(58,a,4409,a(flip),b,4708,a)]. 5856 (x * (y \ 1)) * (x * (y \ 1)) = (y \ x) * (y \ x). [hyper(272,a,3018,a(flip),b,4718,a),flip(a)]. 5857 ((x \ 1) * y) * ((x \ 1) * y) = (x \ y) * (x \ y). [hyper(5768,a,5856,a)]. 5858 x \ (((x * ((y \ 1) * (x \ 1))) * (y \ 1)) / x) = (y \ (x \ 1)) * (y \ (x \ 1)). [hyper(1135,a,5857,a)]. 5859 (((x \ y) * (x \ y)) \ z) * ((x \ 1) * y) = z / ((x \ 1) * y). [para(5857(a,1),3250(a,1,1,1))]. 5860 ((1 / x) \ y) / T(x,z) = (1 / x) * (y * T(x,z)). [hyper(3354,a,4797,a),flip(a)]. 5861 T(x,y \ 1) * K(y,z) = (1 / y) * (x * T(y,z)). [hyper(58,a,3999,a(flip),b,5860,a)]. 5862 x * (T(x,y) * ((1 / x) * z)) = (T(x,y) \ 1) \ z. [hyper(272,a,5218,a(flip),b,4854,a),flip(a)]. 5863 T(x,y) * ((1 / x) * z) = x * ((1 / T(x,y)) * z). [hyper(29,a,4033,a,b,5862,a),flip(a)]. 5864 T(x * (x * y),y * x) = 1 / ((x \ (y \ 1)) / x). [para(3574(a,1),4861(a,1,1))]. 5865 T(x * (y * y),x * y) = 1 / ((y \ (x \ 1)) / y). [para(2956(a,2),5864(a,1,1))]. 5866 T(x * (y * y),x * y) = 1 / ((x * y) \ (1 / y)). [para(4858(a,1),5865(a,2,2))]. 5867 T(x * (y * y),x * y) = (1 / (y * x)) \ y. [hyper(272,a,4862,a(flip),b,5866,a),flip(a)]. 5868 ((1 / x) * ((x \ y) \ 1)) \ 1 = (x / (1 / y)) * (1 / x). [hyper(58,a,4133,a(flip),b,4895,a)]. 5869 ((x * (1 / (y * z))) \ 1) * x = y * T(x * (z * (1 / x)),x). [hyper(272,a,4180,a,b,4938,a)]. 5870 (x * (x * T(y,z))) * K(y,z) = y * (x * x). [para(5569(a,1),4944(a,2,2))]. 5872 (x \ L(x,y,z)) \ (x \ 1) = L(x,y,z) \ 1. [hyper(272,a,4951,a(flip),b,4947,a),flip(a)]. 5873 (L(x,y,z) \ x) * (x \ 1) = L(x,y,z) \ 1. [hyper(58,a,4343,a(flip),b,5872,a)]. 5874 (L(1 / x,y,z) \ 1) / x = L(1 / x,y,z) \ (1 / x). [hyper(315,a,5873,a)]. 5875 ((L(x,y,z) \ 1) \ 1) / x = (x \ 1) * L(x,y,z). [hyper(272,a,3579,a(flip),b,4966,a),flip(a)]. 5876 (1 / (x * y)) / (y \ 1) = (1 / (x / y)) / y. [para(4169(a,1),4978(a,1,1))]. 5877 (1 / (x * y)) / (y \ 1) = (1 / y) / (y \ x). [hyper(272,a,4645,a(flip),b,5876,a),flip(a)]. 5878 (x * ((x / (1 / y)) / y)) / (1 / y) = (y * x) * L(x,y,y). [hyper(272,a,2004,a,b,5031,a),flip(a)]. 5879 T((1 / x) * ((1 / x) * y),x) = x * (((x * x) \ y) / x). [para(3267(a,2),5054(a,2,2))]. 5880 ((1 / x) * (1 / x)) * ((1 / x) * y) = (x \ (y / x)) / x. [para(4115(a,2),5055(a,1,1))]. 5881 (((x \ 1) \ 1) \ y) * T(x,z) = (1 / x) * (y * T(x,z)). [hyper(272,a,5861,a(flip),b,5059,a),flip(a)]. 5882 T(x \ (y \ (1 / y)),y \ 1) = y \ ((y * x) \ 1). [hyper(272,a,4727,a(flip),b,5103,a),flip(a)]. 5883 ((x * ((1 / y) * x)) * y) * y = x * ((1 / y) \ x). [hyper(272,a,5168,a(flip),b,5106,a),flip(a)]. 5884 (x * ((y * (x \ 1)) * y)) * x = y * ((1 / x) \ y). [para(5105(a,1),5883(a,1,1))]. 5885 T(x,y) * T(y * x,y) = x * ((1 / y) \ x). [hyper(58,a,2940,a(flip),b,5884,a)]. 5886 L(x,y,y) * (y * x) = x * ((1 / y) \ x). [hyper(58,a,4594,a(flip),b,5885,a)]. 5887 (L(x,y,y) * (y * x)) \ 1 = x \ ((x * y) \ 1). [para(5886(a,2),4977(a,1,1))]. 5888 (x * y) \ ((x * y) \ x) = y \ ((y * x) \ 1). [hyper(58,a,4763,a(flip),b,5887,a)]. 5889 (x * y) \ ((x * y) \ 1) = x \ (y \ ((y * x) \ 1)). [hyper(112,a,5888,a(flip),b,4382,a),flip(a)]. 5890 x * (y \ (z \ ((z * y) \ 1))) = (y * z) \ ((y * z) \ x). [hyper(114,a,5889,a(flip),b,4383,a)]. 5892 (x * (((x \ 1) * y) * z)) / (1 / x) = y * (z * ((x \ 1) \ 1)). [hyper(4259,a,5116,a)]. 5893 R(x,y \ z,T(y,y \ z)) != u | R(x,z / y,y) = u. [para(5143(a,2),279(a,1))]. 5894 x \ ((x * y) * ((x \ 1) * (x \ 1))) = (y / x) * (1 / x). [hyper(272,a,4680,a,b,5210,a),flip(a)]. 5895 (x * (y * (1 / x))) / (x \ y) = (T(x,y) \ 1) \ 1. [hyper(272,a,3444,a(flip),b,5451,a),flip(a)]. 5896 ((x \ y) * z) / (y / x) = (x \ y) \ (z * (y / x)). [hyper(58,a,4078,a(flip),b,5474,a),flip(a)]. 5897 (((x / (x \ y)) \ y) * z) / ((x \ y) * (x \ y)) = ((x / (x \ y)) \ y) \ (z * (y / (x / (x \ y)))). [para(3272(a,1),5896(a,1,2))]. 5898 T(K(x,y) * z,K(x,u)) = K(x,y) * T(z,K(x,u)). [hyper(58,a,5450,a(flip),b,5557,a),flip(a)]. 5899 T(K(x,y) * z,K(u,x)) = K(x,y) * T(z,K(x,u)). [hyper(3868,a,5898,a)]. 5900 T(K(x,y) * z,K(u,x)) = K(x,y) * T(z,K(u,x)). [para(28(a,1),5899(a,2,2,2))]. 5902 T(x,y) / T(z \ 1,x * z) = (z \ K(y,x)) \ x. [hyper(272,a,5824,a(flip),b,5625,a),flip(a)]. 5903 T(K(x,y) * (z \ 1),z * K(x,y)) = K(x,y) / z. [hyper(272,a,5638,a(flip),b,5684,a),flip(a)]. 5904 (T(x,y) / z) * T(T(x,y) / z,z) = (z \ x) * (x / z). [hyper(272,a,5026,a(flip),b,5717,a),flip(a)]. 5905 (x \ 1) * (x \ a(y,x,x)) = T(x \ (1 / x),y). [para(4405(a,1),5730(a,1,2,2))]. 5906 (x \ 1) * ((y * x) \ y) = T(x \ (1 / x),y). [para(5669(a,2),5905(a,1,2))]. 5907 T(x,y) * ((z / x) * K(x,u)) = (T(x,y) \ z) * T(x,u). [hyper(58,a,4313,a(flip),b,5751,a)]. 5908 K(x,K(y,z)) * (T(z,y) * u) = T(z,T(y,x)) * u. [para(5485(a,1),5754(a,2,1))]. 5909 L(x,y,z * (u \ (1 / z))) = L(x,y,z \ (u \ z)). [para(4358(a,1),5781(a,2,3))]. 5910 T(x,y \ z) / (z \ y) = (T(y,y \ z) / z) \ x. [hyper(58,a,4472,a(flip),b,5833,a)]. 5911 (T(x,x \ y) / y) \ (y / x) = (y / x) / (y \ x). [para(226(a,1),5910(a,1,1)),flip(a)]. 5912 (x / y) / (x \ y) = (y / x) \ (y \ x). [hyper(58,a,5770,a(flip),b,5911,a),flip(a)]. 5913 x \ (((x \ (y \ 1)) \ 1) / x) = T(1 / (x / y),x \ 1). [para(4896(a,1),5852(a,1,2,1))]. 5914 (x \ 1) * (y * (x \ (1 / x))) = (x * x) \ (x \ y). [para(3027(a,1),5854(a,1,2))]. 5915 (x \ 1) * (y \ (x \ (1 / x))) = (x * x) \ (x \ (y \ 1)). [para(4286(a,1),5914(a,1,2))]. 5916 (x * ((1 / y) \ x)) / y = (x / y) * (x * y). [para(3263(a,1),5855(a,1,1)),flip(a)]. 5917 (x * ((y \ 1) / x)) \ 1 = (x / (1 / y)) * (1 / x). [para(4743(a,1),5868(a,1,1))]. 5918 (x * ((T(y,x) \ 1) / x)) \ 1 = ((y \ 1) \ x) * (1 / x). [para(3511(a,1),5917(a,2,1))]. 5919 (L(1 / x,y,z) \ 1) / x = 1 / (x * L(x \ 1,y,z)). [hyper(272,a,4424,a,b,5874,a),flip(a)]. 5920 T((1 / x) * ((1 / x) * y),x) = (x \ ((x * x) \ y)) * x. [hyper(272,a,2828,a,b,5879,a),flip(a)]. 5921 (x * y) \ ((x * y) \ 1) != z | x \ (y \ ((y * x) \ 1)) = z. [para(5890(a,1),115(a,1))]. 5923 x \ ((x * y) * ((x \ 1) * (x \ 1))) = ((x * x) \ (y / x)) / (x \ 1). [hyper(272,a,4054,a,b,5894,a),flip(a)]. 5924 (x \ T(y,z)) * (T(y,z) / x) = (x \ y) * (y / x). [hyper(5035,a,5904,a)]. 5925 (T(x,y) \ z) * T(x,u) = T(x,y) * (z / T(x,u)). [para(3987(a,1),5907(a,1,2)),flip(a)]. 5926 T(1 / (x / y),x \ 1) = T(y \ 1,x) \ (1 / x). [hyper(58,a,5205,a(flip),b,5913,a),flip(a)]. 5927 (x * x) \ (x \ (y \ 1)) = x \ (((x * y) \ 1) / x). [hyper(58,a,4853,a(flip),b,5915,a),flip(a)]. 5928 (x \ 1) * (x \ (y \ 1)) = ((x * y) \ 1) / x. [hyper(3560,a,5927,a)]. 5929 ((x \ y) * (1 / y)) \ 1 = ((x \ 1) \ y) * (1 / y). [para(3540(a,1),5918(a,1,1))]. 5930 ((x \ 1) \ y) * (1 / y) = y * (((y \ x) \ 1) \ 1). [hyper(58,a,4160,a(flip),b,5929,a),flip(a)]. 5931 x / (x * L(x \ 1,y,z)) = L(1 / x,y,z) \ 1. [hyper(32,a,2270,a,b,5919,a)]. 5932 (x * L(x \ 1,y,z)) \ x = L(1 / x,y,z) \ 1. [hyper(2614,a,5931,a)]. 5933 L(1 / x,y,z) \ 1 = a(x,z,y) \ x. [para(1178(a,2),5932(a,1,1)),flip(a)]. 5934 a(x,a(y,z,u) \ y,w) = a(x,1 / L(1 / y,u,z),w). [para(5933(a,1),2605(a,2,2)),flip(a)]. 5935 (1 / x) * ((1 / x) * ((1 / x) * y)) = x \ ((x * x) \ y). [hyper(377,a,5920,a)]. 5936 a(x,L(y \ 1,z,u) \ 1,w) = a(x,a(y,u,z) \ y,w). [para(4960(a,1),5934(a,2,2)),flip(a)]. 5937 (x \ ((1 / x) \ y)) * L(z,x,x) = L(y * z,x,x). [hyper(272,a,2918,a(flip),b,2821,a),flip(a)]. 5938 L(((1 / x) * y) * z,x,x) = (x \ y) * L(z,x,x). [para(4(a,1),5937(a,1,1,2)),flip(a)]. 5939 L(x,y,y) * L(z,y,y) = L(x * z,y,y). [para(1998(a,1),5937(a,1,1))]. 5940 L(x * ((1 / y) * z),y,y) = L(x,y,y) * (y \ z). [para(1996(a,1),5939(a,1,2)),flip(a)]. 5941 ((x \ 1) \ y) * L(z,x,x) = L((x * y) * z,x,x). [para(2002(a,1),5939(a,1,1))]. 5942 L(x * (y / (1 / z)),z,z) = L(x,z,z) * (y * z). [para(2020(a,1),5939(a,1,2)),flip(a)]. 5943 L(L(x,y,y) * z,y,y) = x * L(z,y,y). [para(2965(a,1),5939(a,1,1)),flip(a)]. 5944 L(((x \ 1) \ y) * z,x,x) = (x * y) * L(z,x,x). [para(2967(a,1),5939(a,1,1)),flip(a)]. 5945 L(x * (y * y),z,z) = L(x,z,z) * (y * y). [para(3373(a,1),5939(a,1,2)),flip(a)]. 5946 L(((x * x) * y) * z,x,x) = (x * (x * y)) * L(z,x,x). [para(3559(a,1),5939(a,1,1)),flip(a)]. 5947 L(x,y,y) * (L(z,y,y) \ 1) = L(x * (z \ 1),y,y). [para(3798(a,1),5939(a,1,2))]. 5948 L((((x \ 1) \ 1) \ y) * z,x,x) = ((x \ 1) * y) * L(z,x,x). [para(4233(a,1),5939(a,1,1)),flip(a)]. 5949 L(K(x,y) * z,u,u) = K(x,y) * L(z,u,u). [para(5576(a,1),5939(a,1,1)),flip(a)]. 5950 L(x * K(y,z),u,u) = L(x,u,u) * K(y,z). [para(5576(a,1),5939(a,1,2)),flip(a)]. 5951 L(L(K(x,L(y,z,z)) / x,z,z) * y,z,z) = L(y,z,z) / x. [hyper(272,a,2944,a(flip),b,5943,a),flip(a)]. 5952 (1 / x) \ (y * L(z,x,x)) = x * (L(y,x,x) * z). [hyper(112,a,5943,a(flip),b,3118,a)]. 5953 (x \ 1) * (L(y,x,x) * z) = x \ (y * L(z,x,x)). [hyper(112,a,5943,a(flip),b,3109,a),flip(a)]. 5954 x * L(L(L(x,y,y) \ 1,z,u),y,y) = L(a(L(x,y,y),u,z),y,y). [para(1178(a,2),5943(a,1,1)),flip(a)]. 5955 x * L(T(y,L(x,z,z)) \ 1,z,z) = L(y \ L(x,z,z),z,z). [para(3006(a,1),5943(a,1,1)),flip(a)]. 5956 (x * L(y,z,z)) * (1 / z) = (L(x,z,z) * y) / z. [para(5943(a,1),2972(a,1,1))]. 5957 (x * x) * (L(y,x,x) * z) = x * (x * (y * L(z,x,x))). [para(5943(a,1),2971(a,1,2,2)),flip(a)]. 5959 L(x * (y * y),z,z) = y * (y * L(x,z,z)). [hyper(272,a,2956,a(flip),b,5945,a),flip(a)]. 5961 (K(x,y) * z) \ (K(x,y) * L(z,u,u)) = a(u,u,K(x,y) * z). [hyper(112,a,5949,a(flip),b,4213,a)]. 5962 K(x,y) * L(1 / z,u,u) = L(K(x,y) / z,u,u). [para(5580(a,1),5949(a,1,1)),flip(a)]. 5963 K(x,L(y,z,z)) = K(x,y). [hyper(29,a,3650,a,b,5950,a(flip))]. 5964 (L(x,y,y) * K(z,u)) * y = T(y * (x * K(z,u)),y). [para(5950(a,1),3120(a,1,1))]. 5965 T(x,L(y,z,z)) = x * K(x,y). [hyper(114,a,5963,a(flip),b,2672,a(flip)),flip(a)]. 5966 L(x,y,y) * K(z,x) = T(L(x,y,y),z). [hyper(114,a,5963,a(flip),b,2651,a(flip))]. 5967 K(x,(1 / y) * z) = K(x,y \ z). [para(1996(a,1),5963(a,1,2)),flip(a)]. 5968 K(x,(y \ 1) \ z) = K(x,y * z). [para(2002(a,1),5963(a,1,2))]. 5969 K(x,T(y,z * z)) = K(x,y). [para(2952(a,2),5963(a,1,2))]. 5970 (K(x,y) / L(y,z,z)) * x = x / L(y,z,z). [para(5963(a,1),2945(a,1,1,1))]. 5971 K(x,T(y,z \ 1)) = K(x,T(y,z)). [para(2792(a,1),5963(a,1,2))]. 5972 K(x,y \ T(z,y)) = K(x,z / y). [para(2933(a,1),5963(a,1,2))]. 5973 K(x,y * (z \ 1)) = K(x,y / z). [para(3112(a,1),5963(a,1,2)),flip(a)]. 5974 K(x,(y * y) * z) = K(x,y * (y * z)). [para(3559(a,1),5963(a,1,2)),flip(a)]. 5975 K(x,L(y,z,z) \ 1) = K(x,y \ 1). [para(3798(a,1),5963(a,1,2))]. 5976 T(x,L(y,z,z)) = T(x,y). [hyper(272,a,2674,a,b,5965,a),flip(a)]. 5977 T(x,L(y,z,z)) != u | T(x,y) = u. [para(5965(a,2),2737(a,1))]. 5978 T(x / L(y,z,z),y) = L(y,z,z) \ x. [hyper(581,a,5976,a),flip(a)]. 5979 (L(x,y,y) \ 1) \ T(z,x) = z / (1 / L(x,y,y)). [hyper(112,a,5976,a(flip),b,3128,a(flip))]. 5980 T(x,(y * y) \ z) = T(x,y \ (y \ z)). [para(254(a,1),5976(a,1,2))]. 5981 T(x,y) \ (L(y,z,z) \ x) = L(y,z,z) \ 1. [para(5976(a,1),679(a,1,1))]. 5982 T(x,(1 / y) * z) = T(x,y \ z). [para(1996(a,1),5976(a,1,2)),flip(a)]. 5983 T(x,(y \ 1) \ z) = T(x,y * z). [para(2002(a,1),5976(a,1,2))]. 5984 T(x,y / (1 / z)) = T(x,y * z). [para(2020(a,1),5976(a,1,2)),flip(a)]. 5985 T(x,T(y,z \ 1)) = T(x,T(y,z)). [para(2792(a,1),5976(a,1,2))]. 5986 T(x,y \ T(z,y)) = T(x,z / y). [para(2933(a,1),5976(a,1,2))]. 5987 T(x,L(y,z \ 1,z)) = T(x,y). [para(3113(a,2),5976(a,1,2))]. 5988 T(x,y * (z \ 1)) = T(x,y / z). [para(3112(a,1),5976(a,1,2)),flip(a)]. 5989 T(x,(y * y) * z) = T(x,y * (y * z)). [para(3559(a,1),5976(a,1,2)),flip(a)]. 5990 T(x,L(y,z,z) \ 1) = T(x,y \ 1). [para(3798(a,1),5976(a,1,2))]. 5991 T(x,T(y * (z \ 1),u)) = T(x,T(y / z,u)). [para(3134(a,1),5976(a,1,2)),flip(a)]. 5992 (x * L(y,z,z)) \ T(x,y) = T(L(y,z,z) \ 1,x). [para(5976(a,1),5656(a,1,2))]. 5993 T(x,T((y \ 1) \ z,u)) = T(x,T(y * z,u)). [para(528(a,1),5987(a,1,2)),flip(a)]. 5994 K(x,(y \ z) / y) = K(x,y \ (z / y)). [para(376(a,1),5967(a,1,2))]. 5995 K(x,(y \ K(z,u)) \ w) = K(x,(K(u,z) * y) * w). [para(5630(a,1),5967(a,1,2,1)),flip(a)]. 5996 K(x,(y * K(z,u)) \ w) = K(x,(K(z,u) / y) * w). [para(5638(a,1),5967(a,1,2,1)),flip(a)]. 5997 K(x,(y * z) * y) = K(x,y * (z * y)). [para(3502(a,1),5968(a,1,2))]. 5998 K(x,(y * z) * z) = K(x,z * (z * y)). [para(3503(a,1),5968(a,1,2))]. 5999 T(K(x,y),z \ 1) = K(x,T(y,z)). [hyper(5412,a,5971,a)]. 6000 K(x,T(y,z \ (u \ z))) = K(x,T(y,T(u,z))). [para(2999(a,1),5971(a,1,2,2))]. 6001 K(x,T(y,z \ u)) = K(x,T(y,u \ z)). [para(4459(a,1),5971(a,1,2))]. 6002 T(x,y * (z \ 1)) = x * K(x,y / z). [hyper(114,a,5973,a(flip),b,2672,a(flip)),flip(a)]. 6003 T(x,(y \ 1) \ z) != u | T(x,y * z) = u. [para(2002(a,1),5977(a,1,2))]. 6004 T(x,(y \ 1) \ 1) != z | T(x,y) = z. [para(2012(a,1),5977(a,1,2))]. 6005 T(x,T(y,z \ 1)) != u | T(x,T(y,z)) = u. [para(2792(a,1),5977(a,1,2))]. 6006 T(x,y / (1 / z)) != u | T(x,y * z) = u. [para(2966(a,1),5977(a,1,2))]. 6007 T(x,T(y,z) / z) != u | T(x,z \ y) = u. [para(3129(a,1),5977(a,1,2))]. 6008 T(x,x * (1 / y)) = T(x,y \ x). [hyper(5780,a,5982,a)]. 6009 T(x,(y \ 1) * z) = T(x,y \ z). [hyper(58,a,3646,a(flip),b,5982,a)]. 6010 T(x * y,x \ y) = (1 / ((1 / x) * y)) \ (x * x). [hyper(58,a,3418,a(flip),b,5982,a),flip(a)]. 6011 T(x,(y \ z) / y) = T(x,y \ (z / y)). [para(376(a,1),5982(a,1,2))]. 6012 T(x,(y \ 1) \ T(T(z,y),u)) = T(x,T(z,u) * y). [para(212(a,1),5983(a,2,2))]. 6013 T(x,(((1 / y) * z) \ 1) \ u) = T(x,(T(z,y) / y) * u). [para(384(a,1),5983(a,1,2,1))]. 6014 T(x,(y * z) * y) = T(x,y * (z * y)). [para(3502(a,1),5983(a,1,2))]. 6015 T(x,(y * z) * z) = T(x,z * (z * y)). [para(3503(a,1),5983(a,1,2))]. 6016 (x \ (y \ 1)) * T(z,y * x) = z / ((x \ (y \ 1)) \ 1). [para(5983(a,1),4463(a,1,2))]. 6017 T(x * y,T(z,y)) = T(x * y,T(z,x)). [hyper(58,a,5423,a(flip),b,5985,a),flip(a)]. 6018 T(x,(y * (z \ 1)) \ 1) = T(x,z / y). [hyper(58,a,4471,a,b,5986,a)]. 6019 T(x,x * (1 / L(x,y,z))) = x. [hyper(272,a,2507,a(flip),b,6008,a),flip(a)]. 6020 T(x * (1 / L(x,y,z)),x) = x * (1 / L(x,y,z)). [hyper(49,a,6019,a)]. 6021 T(x,(y \ 1) / z) = T(x,y \ (z \ 1)). [hyper(58,a,5988,a(flip),b,6009,a)]. 6022 T(x,(1 / y) \ z) = T(x,y * z). [para(74(a,1),6009(a,1,2,1)),flip(a)]. 6023 T(x,T(y,y * z) \ u) = T(x,T(y \ 1,z) * u). [para(3388(a,1),6009(a,1,2,1)),flip(a)]. 6024 T(x,y \ ((z \ 1) * (y * (z \ 1)))) = T(x,z \ T(z \ 1,y)). [para(5012(a,2),6009(a,1,2))]. 6025 T(T(x,y \ z),K(u,(y \ 1) * z)) = T(x,T((y \ 1) * z,u)). [para(6009(a,1),5485(a,1,1))]. 6026 T(x,(K(y,z) * u) \ w) = T(x,(u \ K(y,z)) * w). [para(5610(a,1),6009(a,1,2,1)),flip(a)]. 6027 T(x,y * (z * (1 / y))) = T(x,T(z,y \ 1)). [para(1968(a,1),6022(a,1,2)),flip(a)]. 6028 T(x,T(y * z,z)) = T(x,z * y). [para(2773(a,2),6022(a,1,2))]. 6029 T(x,y * (z / y)) = T(x,T(z,y)). [para(2920(a,2),6022(a,1,2)),flip(a)]. 6030 T(x,T(y * (z * u),L(u,z,y))) = T(x,L(u,z,y) * (y * z)). [para(87(a,1),6028(a,1,2,1))]. 6031 T(x,T((T(y,z) \ z) * u,u)) = T(x,u * (z * (y \ 1))). [para(2998(a,1),6028(a,2,2))]. 6032 T(x,T((y * z) * (y * z),z)) = T(x,z * (y * ((1 / z) \ y))). [para(4619(a,1),6028(a,1,2,1))]. 6033 K(x,y) * T(x,y * z) = T(T(x,y),z * y). [para(6028(a,1),5417(a,1,2))]. 6034 T(T(x,y * z),K(y,z)) = T(x,z * y). [para(6028(a,1),5554(a,1,1))]. 6035 T(x,T(y * z,y)) = T(x,z * y). [para(2806(a,1),6029(a,1,2)),flip(a)]. 6036 T(x,T(y * z,y)) = x * K(x,z * y). [hyper(272,a,2674,a(flip),b,6035,a),flip(a)]. 6037 T(x,y) * K(x,y * z) = T(T(x,y),z * y). [hyper(58,a,5282,a(flip),b,6035,a)]. 6038 K(x,T(y * z,y)) = x \ T(x,z * y). [hyper(112,a,6035,a(flip),b,2674,a(flip)),flip(a)]. 6039 T(x,T(y * (z * u),y * z)) = T(x,L(u,z,y) * (y * z)). [para(87(a,1),6035(a,1,2,1))]. 6040 T(x,T((y * z) * u,R(y,z,u))) = T(x,(z * u) * R(y,z,u)). [para(93(a,1),6035(a,1,2,1))]. 6041 T(x,T(((1 / y) \ z) * u,y)) = T(x,((z * (u / y)) * y) * y). [para(108(a,1),6035(a,1,2,1))]. 6042 T(x,y / (z \ 1)) = T(x,y * z). [para(680(a,1),6035(a,1,2))]. 6043 K(T(x * y,x),z) = z / T(z,y * x). [para(6035(a,1),2670(a,2,2))]. 6044 T(x,y * (1 / z)) = T(x,y / z). [para(74(a,1),6042(a,1,2,2)),flip(a)]. 6045 T(L(x,y,y) \ 1,T(z,L(x,y,y))) = (L(x,y,y) \ 1) * K(z,x \ 1). [para(5975(a,1),5392(a,1,2)),flip(a)]. 6046 T(x,1 / y) != z | T(x,y \ 1) = z. [para(2826(a,1),6004(a,1,2))]. 6047 T(x,(1 / y) / z) != u | T(x,y \ (z \ 1)) = u. [para(4894(a,1),6004(a,1,2))]. 6048 L(T(x,y),y \ 1,y) != z | T(x,y \ 1) = z. [para(3619(a,2),6046(a,1))]. 6049 L(x,y,y) * K(x,z) = T(L(x,y,y),z). [para(28(a,1),5966(a,1,2))]. 6050 (x \ y) * K(x,z \ (z \ 1)) = L(x,z,z) \ y. [hyper(58,a,4404,a,b,5978,a)]. 6051 K(x,y \ (((y * z) * u) / y)) = K(x,L(z,y,y) * (u / y)). [para(3141(a,1),5994(a,1,2)),flip(a)]. 6052 K(x \ 1,y * (z * y)) = K(x,x * ((y * z) * y)). [hyper(3621,a,5997,a),flip(a)]. 6053 K(x,(y * z) * z) = K(x,y * (z * z)). [para(2956(a,2),5998(a,2,2))]. 6054 K(x,T(y,z \ y)) = K(x,T(y,z)). [hyper(5342,a,6001,a),flip(a)]. 6055 K(x,T(y,z \ x)) = K(x,T(y,z)). [hyper(5340,a,6001,a),flip(a)]. 6056 K(x,T(y,z \ (u \ 1))) = K(x,T(y,u * z)). [para(5983(a,1),6001(a,1,2)),flip(a)]. 6057 K(x,T(y,(z \ u) \ y)) = K(x,T(y,u \ z)). [hyper(272,a,6001,a,b,6054,a),flip(a)]. 6058 K(x * y,T(z,y)) = K(x * y,T(z,x)). [para(4(a,1),6055(a,1,2,2))]. 6059 T(x,y * (z \ 1)) != u | T(x,y / z) = u. [para(6002(a,2),2737(a,1))]. 6060 T(x,y * (((y \ z) * u) * y)) = T(x,z * T(y * u,y)). [para(1163(a,1),6014(a,1,2)),flip(a)]. 6061 T(x * L(L(y,z,u),w,v5),T(y,x)) = T(x * L(L(y,z,u),w,v5),y). [para(197(a,1),6017(a,1,2)),flip(a)]. 6062 T(x,(1 / y) / z) = T(x,(z * y) \ 1). [para(74(a,1),6018(a,1,2,1,2)),flip(a)]. 6063 T(T(x,K(y,z)),y * z) = T(x,z * y). [hyper(354,a,6034,a)]. 6064 K(x,T(y * z,y)) = K(x,z * y). [hyper(2751,a,6036,a)]. 6065 T(x,T(y * z,y)) != u | T(x,z * y) = u. [para(6036(a,2),2737(a,1))]. 6066 K(x,(y \ z) * y) = K(x,T(z,y)). [para(5(a,1),6064(a,1,2,1)),flip(a)]. 6067 K(x,y / (z \ 1)) = K(x,y * z). [para(680(a,1),6064(a,1,2))]. 6068 K(x,y * z) * y = y * K(x,z * y). [para(6064(a,1),5236(a,1,2)),flip(a)]. 6069 K(x,T(T(y * z,u),y)) = K(x,T(z * y,u)). [para(2200(a,1),6066(a,1,2)),flip(a)]. 6070 K(x,y * (z / y)) = K(x,T(z,y)). [para(2828(a,1),6066(a,1,2))]. 6071 (x \ 1) * (y / (x \ 1)) = y * K(x \ 1,y * x). [hyper(114,a,6067,a(flip),b,83,a),flip(a)]. 6072 K(x,y * (1 / z)) = K(x,y / z). [para(74(a,1),6067(a,1,2,2)),flip(a)]. 6073 K(x,T(y * z,z)) = K(x,z * y). [para(6(a,1),6070(a,1,2,2)),flip(a)]. 6074 K(x,T(y * (z * (u \ 1)),u \ 1)) = K(x,(u \ 1) * (u \ ((u * y) * z))). [para(1128(a,1),6070(a,1,2,2)),flip(a)]. 6075 K(x,T((y * z) * (y * z),z)) = K(x,z * (y * ((1 / z) \ y))). [para(4590(a,1),6070(a,1,2,2)),flip(a)]. 6076 K(x,(1 / y) \ z) = K(x,y * z). [para(2773(a,1),6073(a,1,2))]. 6077 K(x,L(x,y,z) * u) != w | K(x,u * L(x,y,z)) = w. [para(6073(a,1),5348(a,1))]. 6078 T((x * y) * K(z,y * x),z) = T(x * y,K(z,y)). [para(6073(a,1),5829(a,1,1,2))]. 6079 a(x,y \ 1,y \ 1) = K(x,y * y). [hyper(58,a,4406,a,b,6076,a)]. 6080 K(x,y * ((1 / y) / z)) = K(x,z \ 1). [hyper(58,a,4439,a(flip),b,6076,a),flip(a)]. 6081 K(x,(y \ 1) * z) = K(x,y \ z). [para(72(a,1),6076(a,1,2,1)),flip(a)]. 6082 K(x,((y \ 1) * (z \ 1)) * u) = K(x,((1 / z) \ y) \ u). [para(4020(a,1),6076(a,1,2,1)),flip(a)]. 6083 a(x,y \ 1,y \ 1) = a(x,y,y). [hyper(272,a,4243,a(flip),b,6079,a),flip(a)]. 6084 K(x,T(y * z,y)) != u | K(x,z * y) = u. [para(6038(a,2),2691(a,1))]. 6085 K(T(x * y,x),z) = K(y * x,z). [hyper(272,a,2670,a,b,6043,a),flip(a)]. 6086 K(x * y,T(z,x)) = K(y * x,z). [hyper(5338,a,6085,a)]. 6087 K(x * y,T(z,y)) = K(y * x,z). [hyper(5337,a,6085,a),flip(a)]. 6088 K(x * y,z) * x = x * K(y * x,z). [hyper(114,a,6085,a(flip),b,5229,a),flip(a)]. 6089 K(x / (y \ 1),z) = K(x * y,z). [para(680(a,1),6085(a,1,1))]. 6090 K(L(x,y,z) * u,x) = K(u * L(x,y,z),x). [para(156(a,1),6086(a,1,2))]. 6091 K(x * (1 / y),z) = K(x / y,z). [para(74(a,1),6089(a,1,1,2)),flip(a)]. 6092 K(x * (y \ 1),z) = K(x / y,z). [hyper(58,a,2420,a(flip),b,6091,a)]. 6093 K(x / (1 / y),z) = K(x * y,z). [para(74(a,1),6092(a,1,1,2)),flip(a)]. 6094 K(L(x,y,y),z) = K(x,z). [hyper(29,a,2674,a(flip),b,6049,a)]. 6095 K(x * L(y,z,u),T(y,x)) = K(x * L(y,z,u),y). [para(156(a,1),6058(a,1,2)),flip(a)]. 6096 T(x,(y * z) \ 1) = T(x,z \ (y \ 1)). [hyper(58,a,4898,a(flip),b,6062,a),flip(a)]. 6097 T(T(x,K(y,z * (y \ u))),y * (z * (u / y))) = T(x,(z * (u / y)) * y). [para(5378(a,1),6063(a,1,1,2))]. 6098 x * K(x,y \ (z \ 1)) = T(x,(z * y) \ 1). [hyper(272,a,2674,a(flip),b,6096,a)]. 6099 T(x,y \ (z \ 1)) / (z * y) = (((z * y) \ 1) \ 1) \ x. [hyper(113,a,6096,a(flip),b,5058,a)]. 6100 T(x,y \ (z \ 1)) * (z * y) = (1 / (z * y)) \ x. [para(6096(a,1),1972(a,1,1))]. 6101 T(x,(y * (y * y)) \ 1) = T(x,y \ (y \ (1 / y))). [para(3561(a,1),6096(a,2,2))]. 6102 T(x,(y * z) * z) != u | T(x,z * (z * y)) = u. [para(3503(a,1),6003(a,1,2))]. 6103 T(x,(y * y) * z) != u | T(x,y * (y * z)) = u. [para(3523(a,1),6003(a,1,2))]. 6104 T(x,(y \ z) * z) != u | T(x,z * (z / y)) = u. [para(3471(a,1),6006(a,1,2))]. 6105 T(x,(1 / y) * z) != u | T(x,y \ z) = u. [para(369(a,1),6007(a,1,2))]. 6106 T(x,T(y,T(z,u)) / (u * (z / u))) != w | T(x,(u * (z / u)) \ y) = w. [para(6029(a,1),6007(a,1,2,1))]. 6107 T(x,y * T(1 / z,u)) != w | T(x,y / ((z \ u) \ u)) = w. [para(3492(a,1),6059(a,1,2,2))]. 6108 T(x,y * (y * (z \ 1))) != u | T(x,(y * y) / z) = u. [para(5989(a,1),6059(a,1))]. 6109 T(x,y / (z \ 1)) != u | T(x,y * z) = u. [para(680(a,1),6065(a,1,2))]. 6110 T(T(x,y * z),K(y,z)) != u | T(x,z * y) = u. [para(5551(a,2),6065(a,1))]. 6111 K(x,y / (z \ 1)) != u | K(x,y * z) = u. [para(680(a,1),6084(a,1,2))]. 6112 T(x,(y \ 1) * z) != u | T(x,y \ z) = u. [para(3646(a,1),6105(a,1))]. 6113 T(x,((y \ 1) \ (1 / z)) * u) != w | T(x,(z * (1 / y)) \ u) = w. [para(4149(a,1),6105(a,1,2,1))]. 6114 T(x,y / z) != u | T(x,y * (1 / z)) = u. [para(74(a,1),6109(a,1,2,2))]. 6115 T(x,y * (y * (z \ 1))) != u | T(x,z \ (y * y)) = u. [para(2956(a,1),6112(a,1,2))]. 6116 T(x,((y \ 1) \ 1) \ z) != u | T(x,y \ z) = u. [para(5983(a,2),6112(a,1))]. 6118 (x * (x * L(y,z,z))) / z = (y * (x * x)) * (1 / z). [hyper(113,a,5959,a(flip),b,2006,a)]. 6119 L(x * (x * y),z,z) = x * (x * L(y,z,z)). [para(2956(a,1),5959(a,1,1))]. 6120 (T(x,y) \ (L(y,z,z) \ x)) * ((L(y,z,z) \ x) / T(x,y)) = ((L(y,z,z) \ x) / T(x,y)) * (L(y,z,z) \ 1). [para(5981(a,1),306(a,1,2)),flip(a)]. 6121 T(x,T((y * y) * z,u)) = T(x,T(y * (y * z),u)). [para(3523(a,1),5993(a,1,2,1))]. 6122 T(x,y * (z * (1 / y))) != u | T(x,T(z,y)) = u. [para(6027(a,2),6005(a,1))]. 6123 K(x,y) * T(y,x * z) = T(T(y,x),z * x). [para(28(a,1),6033(a,1,1))]. 6124 T(T(x,y),x * y) = R(x,y,x). [hyper(58,a,3640,a(flip),b,6037,a),flip(a)]. 6125 R(x,y,x) = R(x,x,y). [hyper(4565,a,6124,a),flip(a)]. 6126 R(x,x,y) = L(x,x,y). [hyper(5188,a,6125,a),flip(a)]. 6127 L(L(x,x,y),z,u) * (x * y) = (x * L(x,z,u)) * y. [para(6126(a,1),906(a,1,1,1))]. 6128 L(x,x,y) \ y = (x \ 1) * y. [para(6126(a,1),4825(a,1,1))]. 6129 x \ y != (z \ 1) * y | L(z,z,y) = x. [para(6128(a,1),43(a,1)),flip(a)]. 6130 L(T(x,y),y,y) != z | T(x,y \ 1) = z. [para(3113(a,1),6048(a,1))]. 6131 K(x,T(y,z \ (z \ u))) = K(x,T(y,z * (z / u))). [para(4356(a,1),6056(a,1,2,2))]. 6132 K(x,T(T(y * z,y),u)) = K(x,T(z * y,u)). [para(18(a,1),6069(a,1,2))]. 6133 K(L(x,y,z) * (u \ 1),x) = K(u \ L(x,y,z),x). [hyper(272,a,5723,a(flip),b,6090,a),flip(a)]. 6134 K(x,(y * z) \ 1) = K(x,z \ (y \ 1)). [hyper(29,a,2674,a(flip),b,6098,a)]. 6136 ((x * (x * L(y,z,z))) \ 1) \ 1 = z * (((x * (x * y)) \ z) \ 1). [para(6119(a,1),4950(a,1,1,1))]. 6137 K(x,T(y / (z \ 1),u)) = K(x,T(y * z,u)). [para(680(a,1),6132(a,1,2,1))]. 6138 K(x,T(y * (1 / z),u)) = K(x,T(y / z,u)). [para(74(a,1),6137(a,1,2,1,2)),flip(a)]. 6139 (x \ y) * a(x,z,z) = L(x,z,z) \ y. [para(4405(a,1),6050(a,1,2))]. 6140 a(x,x,y) * (y \ z) = L(y,x,x) \ z. [hyper(5734,a,6139,a)]. 6141 a(x,y,y) * (x \ z) = L(x,y,y) \ z. [hyper(5604,a,6139,a)]. 6143 L(x,y,y) \ (x * z) = a(x,y,y) * z. [hyper(507,a,6141,a),flip(a)]. 6145 x \ (a(x,y,y) * z) = L(x,y,y) \ z. [hyper(112,a,6143,a(flip),b,1274,a(flip))]. 6146 T(T(x,K(y,z)),y * z) != u | T(x,z * y) = u. [para(18(a,1),6110(a,1))]. 6147 T(x,y * (z \ (1 / z))) != u | T(x,z \ (z \ y)) = u. [para(5211(a,1),6116(a,1,2))]. 6148 L(x * ((1 / T(y / z,y)) * 1),T(y / z,y),T(y / z,y)) = L(x,T(y / z,y),T(y / z,y)) * (y \ z). [para(3041(a,1),5940(a,2,2))]. 6149 L((x * L(x,y,z)) * u,x,x) = (x * L(x,y,z)) * L(u,x,x). [para(4874(a,1),5941(a,1,1)),flip(a)]. 6150 L(x * (y * (y * z)),y,y) = L(x,y,y) * ((z * y) * y). [para(3574(a,1),5942(a,1,1,2))]. 6151 x \ ((x * y) * L(z,x,x)) = (x \ 1) * (((x \ 1) \ y) * z). [hyper(112,a,5944,a(flip),b,3109,a)]. 6153 K(x,y) * (1 / L(z,u,u)) = L(K(x,y) / z,u,u). [para(3790(a,1),5962(a,1,2))]. 6154 (x * L(y,z,z)) \ T(x,y) = L(T(y \ 1,x),z,z). [hyper(272,a,3803,a,b,5992,a),flip(a)]. 6155 T(x * y,x \ y) = x * (x * ((1 / x) * y)). [hyper(272,a,3367,a(flip),b,6010,a),flip(a)]. 6156 T(x * y,x \ y) = (x \ 1) \ y. [hyper(272,a,3497,a(flip),b,6155,a),flip(a)]. 6157 T(x * (x / y),y \ 1) = (x \ 1) \ (x / y). [hyper(58,a,4467,a(flip),b,6156,a)]. 6158 T((x * y) * x,y \ 1) = ((x * y) \ 1) \ x. [hyper(58,a,4464,a(flip),b,6156,a)]. 6159 T(x * (y * x),((1 / x) \ y) \ x) = (((1 / x) \ y) \ 1) \ x. [para(366(a,1),6156(a,1,1))]. 6160 ((x \ 1) \ y) * (x \ y) != z | (x \ y) * (x * y) = z. [para(6156(a,1),2808(a,1,1))]. 6161 T(x * (x / (1 / y)),y) = (x \ 1) \ (x / (1 / y)). [para(74(a,1),6157(a,1,2))]. 6162 T(((x * y) \ 1) \ x,y \ 1) = (x * y) * x. [hyper(2782,a,6158,a)]. 6163 K(x * (y * x),z \ 1) = K(z,z * ((x * y) * x)). [hyper(508,a,6052,a)]. 6164 x * K(y \ 1,x * y) = y * (x * (1 / y)). [hyper(58,a,4535,a(flip),b,6071,a),flip(a)]. 6165 x * K(x * y,y \ 1) = y * (x * (1 / y)). [para(28(a,1),6164(a,1,2))]. 6166 (x * y) * (x / (x * y)) = y * (x * (1 / y)). [hyper(58,a,4450,a,b,6165,a)]. 6167 x * K(x * T(y \ 1,z),T(y \ 1,z) \ 1) = T(y \ 1,z) * (x * (T(1 / y,z) \ 1)). [para(1613(a,1),6165(a,2,2,2))]. 6168 (x * y) * (y * (x * (1 / y))) = x / (1 / (x * y)). [hyper(114,a,6166,a(flip),b,3569,a)]. 6170 T((x * y) * K(z,x * y),K(z,y)) = (x * y) * K(z,y * x). [hyper(3222,a,6078,a)]. 6171 T(x,y) * K(y * L(x,z,u),x) = R(x,y,L(x,z,u)). [para(6095(a,1),2756(a,1,2))]. 6172 T(T(x,y * (y * z)),K(u,y * (y * z))) = T(x,T((y * y) * z,u)). [hyper(272,a,5485,a,b,6121,a)]. 6173 L(K(x,y) / z,u,u) = K(x,y) / L(z,u,u). [hyper(5636,a,6153,a),flip(a)]. 6174 T(x * (x / (1 / y)),y) = ((y \ 1) \ x) * x. [hyper(272,a,4915,a(flip),b,6161,a),flip(a)]. 6175 K(x * L(y,z,u),y) * K(y,x) = y \ R(y,x,L(y,z,u)). [hyper(112,a,6171,a(flip),b,3181,a),flip(a)]. 6176 T(x,(T(y,z) / z) * u) != w | T(x,((1 / z) * y) * u) = w. [para(6013(a,1),6003(a,1))]. 6177 (((x \ (y \ 1)) \ 1) \ 1) * ((x \ (y \ 1)) * T(T(z,(x \ (y \ 1)) \ 1),y * x)) = ((x \ (y \ 1)) \ 1) \ (((x \ (y \ 1)) \ 1) \ z). [para(6016(a,2),3146(a,1,2))]. 6178 T(x,y * (T(z,u) \ u)) = T(x,y * (u * (z \ 1))). [hyper(58,a,6028,a(flip),b,6031,a)]. 6179 L(x,T(y,z),T(y,z)) = (y * y) \ (y * (y * x)). [para(3749(a,1),3160(a,1,2)),flip(a)]. 6180 L(x,T(y,z),T(y,z)) = L(x,y,y). [hyper(272,a,13,a,b,6179,a),flip(a)]. 6181 L(x,T(y,z),T(y,z)) != u | L(x,y,y) = u. [para(6179(a,2),430(a,1))]. 6184 L(x * (1 / T(y,z)),y,y) = (T(y,z) \ 1) * T(x,T(y,z)). [hyper(4754,a,6180,a),flip(a)]. 6185 (T(x,y) \ 1) * L(z,x,x) = T(x,y) \ z. [hyper(114,a,6180,a(flip),b,2013,a)]. 6186 T(x,y) * L(z,x,x) = (1 / T(x,y)) \ z. [hyper(114,a,6180,a(flip),b,1998,a)]. 6187 L(x,L(T(y,z),u,w),T(L(y,u,w),z)) = L(x,L(y,u,w),L(y,u,w)). [para(20(a,2),6180(a,1,2))]. 6188 L(x,R(T(y,z),u,w),T(R(y,u,w),z)) = L(x,R(y,u,w),R(y,u,w)). [para(22(a,2),6180(a,1,2))]. 6189 L(x,T(1 / y,z),z / (z * y)) = L(x,1 / y,1 / y). [para(3031(a,1),6180(a,1,3))]. 6190 L(T(x,y) \ z,x,x) = (1 / T(x,y)) * z. [hyper(29,a,3116,a,b,6185,a),flip(a)]. 6191 L(x / T(y,z),y,y) = x * (T(y,z) \ 1). [hyper(29,a,1137,a,b,6185,a),flip(a)]. 6193 T(x,y) \ ((x \ 1) \ z) = (T(x,y) \ 1) * (x * z). [para(2967(a,1),6185(a,1,2)),flip(a)]. 6194 K(x,y) * T(z * x,x) = (1 / T(x,y)) \ z. [hyper(58,a,3208,a,b,6186,a)]. 6195 (1 / x) * (K(x,y) * z) = (1 / T(x,y)) * z. [hyper(58,a,4001,a(flip),b,6190,a)]. 6196 x * ((1 / T(x,y)) \ z) = (x * T(x,y)) * z. [hyper(114,a,6194,a(flip),b,5469,a)]. 6197 (1 / T(x,y)) * (x * z) = (1 / x) * (T(x,y) * z). [para(2750(a,1),6195(a,1,2)),flip(a)]. 6198 (T(x,y) \ 1) * (x * z) = T(x,y) * ((1 / x) * z). [hyper(58,a,4032,a(flip),b,6193,a),flip(a)]. 6199 (T(x,y) \ 1) * (x * z) = x * ((1 / T(x,y)) * z). [hyper(272,a,5863,a(flip),b,6198,a),flip(a)]. 6200 x * ((1 / T(x,x * y)) * z) = T(x \ 1,y) * (x * z). [para(3388(a,1),6199(a,1,1)),flip(a)]. 6201 T(x \ 1,y) * (x * z) = x * (T(1 / x,y) * z). [para(3336(a,1),6200(a,1,2,1)),flip(a)]. 6202 T(x \ 1,y * x) * (x * z) = x * ((T(x,y) \ 1) * z). [para(3520(a,1),6201(a,2,2,1))]. 6203 (1 / T(x,y)) * (x * z) = x * ((T(x,y) \ 1) * z). [para(3450(a,1),6202(a,1,1))]. 6204 (1 / x) * (T(x,y) * z) = x * ((T(x,y) \ 1) * z). [hyper(58,a,6197,a(flip),b,6203,a)]. 6205 T(x * x,y) * L(z,x,x) = a(y,x,x) * (x * (x * z)). [para(4243(a,1),3184(a,1,1)),flip(a)]. 6206 (x * (1 / y)) \ (y \ (y \ x)) = L(y \ 1,1 / y,x). [para(4382(a,1),3236(a,1,2))]. 6208 1 / L((x / y) * x,x \ y,x \ y) = (x \ y) * (1 / x). [hyper(58,a,3790,a(flip),b,4599,a)]. 6209 K((x / y) \ z,x) != u | K((y \ x) \ z,x) = u. [para(4850(a,1),4767(a,1))]. 6210 L(x \ (y / z),x,z \ 1) = (x \ y) / z. [hyper(272,a,776,a(flip),b,5146,a),flip(a)]. 6211 L(K(x,T(T(y,z),u * z)),z,u) = (u * (K(x,y) * z)) / (u * z). [para(5236(a,1),5256(a,1,1,2)),flip(a)]. 6212 K(R(x,y,R(x,z,u)),T(w,y * R(x,z,u))) != v5 | K(x,T(w,y)) = v5. [para(5270(a,2),5338(a,1))]. 6213 (x * ((x / (1 / y)) / y)) / (1 / y) = L(((y \ 1) \ x) * x,y,y). [hyper(272,a,5944,a,b,5878,a),flip(a)]. 6214 K(x,L(y,z,z) * (u / z)) = K(x,y * (u * (z \ 1))). [para(1132(a,1),6051(a,1,2)),flip(a)]. 6215 K(x,L(y,z,z) * (u / z)) = K(x,y * (u * (1 / z))). [hyper(272,a,2431,a,b,6214,a),flip(a)]. 6216 x \ R(x,y,L(x,z,u)) != w | K(x,y) * K(y * L(x,z,u),x) = w. [para(6175(a,1),1495(a,1))]. 6217 L(x * (1 / T(y / z,y)),y / z,y / z) = (y \ z) * T(x,T(y / z,y)). [para(3041(a,1),6184(a,2,1))]. 6218 L((x / y) * x,x \ y,x \ y) = x * (y \ x). [hyper(4192,a,6208,a),flip(a)]. 6219 (T(x,y) \ 1) * ((x \ y) / y) = ((y * x) \ y) * (y \ (x \ y)). [para(3308(a,1),3044(a,2,1))]. 6220 ((x * x) \ y) * (x \ (x \ y)) = (x \ (x \ y)) * ((x * x) \ y). [para(3009(a,1),3059(a,1,2))]. 6221 (1 / (x \ y)) * (1 / (x \ y)) = (x / y) * (x / y). [para(3030(a,1),3162(a,2,2))]. 6222 (1 / (x \ y)) * (1 / (x \ y)) = (y \ x) * (y \ x). [hyper(272,a,4115,a(flip),b,6221,a),flip(a)]. 6223 (x \ y) \ (1 / (x \ y)) = (y \ x) * (y \ x). [hyper(3629,a,6222,a)]. 6224 (x \ y) * (x \ y) != z | (y \ x) \ (1 / (y \ x)) = z. [para(6222(a,1),3629(a,1))]. 6225 (x \ y) \ T(x / y,x) = (y \ x) * (y \ x). [para(3063(a,2),6223(a,1,2))]. 6226 ((x \ y) \ 1) * ((x \ y) \ z) = ((y \ x) * (y \ x)) * z. [para(6223(a,1),3787(a,1,1)),flip(a)]. 6227 (x \ y) * ((y \ x) * (y \ x)) = T(x / y,x). [hyper(127,a,6225,a)]. 6228 T(x / y,x) \ (x \ y) = (y \ x) \ ((y \ x) \ 1). [para(6227(a,1),4379(a,1,1))]. 6229 T(x / y,x) \ (x \ y) = ((x / y) * x) \ y. [hyper(272,a,4389,a(flip),b,6228,a),flip(a)]. 6230 (1 / (x \ y)) \ (x \ y) = ((x / y) * x) \ y. [para(3063(a,1),6229(a,1,1))]. 6231 x * ((1 / (y \ z)) \ (y \ z)) = (z \ y) \ ((z \ y) \ x). [para(6230(a,2),4657(a,2,2)),flip(a)]. 6232 ((x \ y) \ 1) * ((x \ y) \ K(z,y \ x)) = (y \ x) * T(y \ x,z). [hyper(272,a,3659,a(flip),b,6226,a),flip(a)]. 6233 ((x \ y) \ 1) \ ((y \ x) * z) = (x \ y) \ ((1 / (y \ x)) * z). [hyper(112,a,3352,a(flip),b,6226,a)]. 6234 ((x \ y) \ 1) \ (((x \ y) \ 1) \ z) = (y \ x) \ ((y \ x) \ z). [hyper(4418,a,6231,a)]. 6235 (T(x,y) \ 1) * ((x \ y) / y) = T(x,y) \ (y \ (y / x)). [para(3048(a,1),3230(a,1,2))]. 6237 ((T(x,y) * z) * u) / ((x * z) * u) = K(R(x,z,u),y). [para(450(a,1),3361(a,1,1))]. 6238 R(K(x,y),x * z,u) = K(R(x,z,u),y). [hyper(58,a,3211,a(flip),b,6237,a)]. 6239 K(R(x,y,x),z) = K(x,z). [hyper(58,a,5747,a(flip),b,6238,a),flip(a)]. 6240 K(R(x,x \ y,z),u) = R(K(x,u),y,z). [para(5(a,1),6238(a,1,2)),flip(a)]. 6241 K(x,R(y,z,y)) = 1 / K(y,x). [para(6239(a,1),2880(a,1,2)),flip(a)]. 6242 K(x,R(y,z,y)) != u | K(x,y) = u. [para(6241(a,2),2882(a,1))]. 6244 K(R(x,x \ y,z),u) * (y * z) = (K(x,u) * y) * z. [para(6240(a,2),93(a,1,1))]. 6245 K((x * y) / ((z \ x) * y),u) = R(K(z,u),x,y). [para(91(a,1),6240(a,1,1))]. 6246 R(K(x,y),T(x,z),u) = K(x,y). [para(2635(a,1),6240(a,1,1)),flip(a)]. 6247 R(K(x,y),z,u) \ 1 != w | K(y,R(x,x \ z,u)) = w. [para(6240(a,1),2885(a,1,1))]. 6248 R(K(x,y),x,z) = K(x,y). [para(97(a,1),6246(a,1,2))]. 6249 (K(x,y) * T(x,z)) * u = K(x,y) * (T(x,z) * u). [para(6246(a,1),93(a,1,1)),flip(a)]. 6250 R(K(x / (y / z),u),x,z) = K((x * z) / y,u). [para(176(a,1),6245(a,1,1,2)),flip(a)]. 6251 (K(x,y) * T(x,z)) * u = K(x,z) * (T(x,y) * u). [para(3763(a,1),6249(a,1,1))]. 6252 (K(x,y) * T(x,z)) * (T(x,y) \ u) = K(x,z) * u. [hyper(272,a,137,a(flip),b,6251,a),flip(a)]. 6253 K(x,y) * (T(x,z) * (T(x,y) \ u)) = K(x,z) * u. [hyper(58,a,6249,a(flip),b,6252,a)]. 6254 T(x,y) * (T(x,z) \ u) = K(z,x) * (K(x,y) * u). [hyper(3894,a,6253,a),flip(a)]. 6255 K(x,y) * (K(z,x) * u) = K(z,x) * (K(x,y) * u). [hyper(58,a,3961,a,b,6254,a)]. 6256 T(K(x,y) * z,K(y,u)) * K(y,u) = K(x,y) * (K(y,u) * z). [hyper(2784,a,6255,a)]. 6257 (K(x,y) * z) * K(x,u) = K(x,y) * (z * K(x,u)). [para(4309(a,1),6244(a,1,1,1)),flip(a)]. 6258 K(x,y / ((K(z,x) * u) * w)) = K(x,y / (u * w)). [para(6244(a,1),5841(a,1,2,2))]. 6259 K(x,y) * (T(z,x) * K(x,u)) = (T(x,y) * z) / T(x,u). [hyper(58,a,5475,a(flip),b,6257,a),flip(a)]. 6260 K(x,y / ((K(x,z) * u) * w)) = K(x,y / (u * w)). [para(28(a,1),6258(a,1,2,2,1,1))]. 6261 K(x,y / (((x \ z) * x) * u)) = K(x,y / (z * u)). [para(2555(a,1),6258(a,1,2,2,1))]. 6262 K(x,y / ((z * x) * u)) = K(x,y / ((x * z) * u)). [para(2561(a,1),6258(a,1,2,2,1))]. 6263 (T(x,y) * z) / T(x,u) = T(x,y) \ (z * T(x,u)). [hyper(58,a,4612,a(flip),b,6259,a),flip(a)]. 6264 T(x,y) \ (z * T(x,x * z)) = (1 / x) * (T(x,y) * z). [hyper(58,a,5395,a(flip),b,6263,a),flip(a)]. 6265 T(x,y) \ ((1 / x) \ z) = (1 / x) * (T(x,y) * z). [para(2316(a,1),6264(a,1,2))]. 6266 T(x,y) \ ((1 / x) \ z) = x * ((T(x,y) \ 1) * z). [hyper(272,a,6204,a(flip),b,6265,a),flip(a)]. 6267 ((1 / x) * y) * ((1 / x) * y) = (x \ y) * (x \ y). [hyper(860,a,3440,a(flip))]. 6268 (x * (1 / y)) * (x * (1 / y)) = (y \ x) * (y \ x). [hyper(5768,a,6267,a)]. 6269 (T(x,y) / y) * ((1 / y) * x) = (y \ x) * (y \ x). [para(369(a,2),6267(a,1,1))]. 6270 (x * ((1 / y) * z)) * ((1 / y) * z) = ((y \ z) * (y \ z)) * x. [para(6267(a,1),3252(a,2,1))]. 6271 (x * L(y,z,u)) * K(y,w) = (x * K(y,w)) * L(y,z,u). [hyper(58,a,3683,a(flip),b,3691,a)]. 6272 (x * L(y,z,u)) * K(y,w) = x * (K(y,w) * L(y,z,u)). [hyper(272,a,2709,a(flip),b,6271,a),flip(a)]. 6273 (x * (K(y,z) * L(y,u,w))) \ (x * L(y,u,w)) != v5 | K(z,y) = v5. [para(6272(a,1),3924(a,1,1))]. 6274 (x * (y * z)) \ (x * (y * T(z,u))) = K(L(z,y,x),u). [para(364(a,1),3693(a,1,2))]. 6275 (x * (y * z)) \ (x * (y * T(z,u))) = K(u,L(z,y,x)). [hyper(272,a,28,a,b,6274,a),flip(a)]. 6276 (x * (y * z)) * K(L(z,y,x),u) = x * (y * T(z,u)). [hyper(127,a,6274,a)]. 6277 (x * (y * z)) * K(u,L(z,y,x)) = x * (y * T(z,u)). [hyper(114,a,28,a,b,6274,a)]. 6278 L(K(x,y),z * x,u) = K(L(x,z,u),y). [hyper(58,a,3676,a(flip),b,6274,a)]. 6279 K(L(x,y,z),z) = K(x,z). [hyper(58,a,4318,a(flip),b,6278,a),flip(a)]. 6280 K(L(x,y,x),z) = K(x,z). [hyper(58,a,4308,a(flip),b,6278,a),flip(a)]. 6281 K(L(x,y,z),y * x) = K(x,y * x). [hyper(58,a,2664,a(flip),b,6278,a),flip(a)]. 6282 L(K(x \ y,z),y,u) = K(L(x \ y,x,u),z). [para(5(a,1),6278(a,1,2))]. 6283 K(L(x,y / x,z),u) = L(K(x,u),y,z). [para(7(a,1),6278(a,1,2)),flip(a)]. 6284 K(L(L(x,y,z),u,w),z) = K(L(x,u,w),z). [para(25(a,1),6279(a,1,1))]. 6285 K((x * y) \ z,x) = K(y \ (x \ z),x). [para(254(a,1),6279(a,1,1))]. 6286 T(x,L(y,z,x)) = x / K(y,x). [para(6279(a,1),2676(a,2,2))]. 6287 K(x,L(y,z,x)) = 1 / K(y,x). [para(6279(a,1),2880(a,1,2)),flip(a)]. 6288 T(x,L(y,z,y)) = x / K(y,x). [para(6280(a,1),2676(a,2,2))]. 6289 T(x,L(y,z,x)) = T(x,y). [hyper(272,a,2676,a,b,6286,a),flip(a)]. 6290 T(x,(x * y) \ z) = T(x,y \ (x \ z)). [para(254(a,1),6289(a,1,2))]. 6291 K(x,L(y,z,x)) = K(x,y). [hyper(272,a,2880,a(flip),b,6287,a),flip(a)]. 6292 K(x,L(L(y,z,x),u,w)) = K(x,L(y,u,w)). [para(25(a,1),6291(a,1,2))]. 6293 K(x,(x * y) \ z) = K(x,y \ (x \ z)). [para(254(a,1),6291(a,1,2))]. 6294 K(x,(x \ y) \ z) = K(x,y \ (x * z)). [para(437(a,1),6291(a,1,2)),flip(a)]. 6295 K(L(x,y,z),L(u,w,x)) = L(K(x,u),y * x,z). [para(6291(a,1),6278(a,1,1)),flip(a)]. 6296 T(x,L(y,z,y)) = T(x,y). [hyper(272,a,2676,a,b,6288,a),flip(a)]. 6297 T(x,L(y,z,y)) = x * K(x,y). [hyper(272,a,3905,a(flip),b,6288,a),flip(a)]. 6299 x * T(y,L(x,z,x)) = y * x. [hyper(114,a,6296,a,b,17,a(flip))]. 6301 T(x,R(y,z,y)) = T(x,y). [para(2382(a,1),6296(a,1,2)),flip(a)]. 6303 T(x,L(y,y,z)) = T(x,y). [para(5187(a,1),6301(a,1,2))]. 6304 L(x,x,y) * T(z,x) = z * L(x,x,y). [hyper(114,a,6303,a(flip),b,17,a(flip))]. 6305 K(x,L(y,z,y)) = K(x,y). [hyper(2751,a,6297,a)]. 6306 K(x,y) * T(L(y,z,y),x) = L(y,z,y). [para(6305(a,1),2668(a,1,1))]. 6307 (x / L(y,z,y)) * y = y * (L(y,z,y) \ x). [para(100(a,1),6299(a,1,2)),flip(a)]. 6308 K(L(x,y,z),y * x) = K(x,x * y). [hyper(272,a,3189,a(flip),b,6281,a),flip(a)]. 6309 K(L(x,y,z),y * x) != u | K(x,x * y) = u. [para(6281(a,2),3190(a,1))]. 6310 L(K(T(x,y),T(z,y)),u,w) = K(L(x,u / T(x,y),w),z). [hyper(5344,a,6283,a),flip(a)]. 6311 L(K(x,y),z,u) \ 1 != w | K(y,L(x,z / x,u)) = w. [para(6283(a,1),2885(a,1,1))]. 6312 K(L(x,y / x,z),u) * (K(u,w) * v5) = K(u,w) * (L(K(x,u),y,z) * v5). [para(6283(a,1),6255(a,1,2,1)),flip(a)]. 6313 K((x \ y) \ (x \ z),x) = K(y \ z,x). [para(5(a,1),6285(a,1,1,1)),flip(a)]. 6314 K((T(x,y) * z) \ (y \ ((x * y) * z)),y) = K(a(y,T(x,y),z),y). [para(209(a,1),6285(a,1,1)),flip(a)]. 6315 x * K(y \ (z \ x),z) = y * ((z \ (y \ x)) * z). [para(6285(a,1),3843(a,1,2))]. 6316 T(x,(x \ y) \ (x \ z)) = T(x,y \ z). [para(5(a,1),6290(a,1,2,1)),flip(a)]. 6317 K(x,(y * x) \ z) = K(x,y \ (x \ z)). [hyper(58,a,5818,a,b,6293,a)]. 6318 (x * ((y / z) / x)) * z = y * K(x,z \ (x \ y)). [para(6293(a,1),4571(a,2,2))]. 6319 K(x,y) * L(T(y,x),z,y) = L(y,z,y). [para(20(a,2),6306(a,1,2))]. 6320 K((x \ y) \ z,x) = K(y \ (z * x),x). [hyper(58,a,5406,a(flip),b,6313,a)]. 6321 K(x,y \ (x \ (y * (z * x)))) = K(x,L(T(z,x),x,y)). [para(211(a,1),6317(a,1,2)),flip(a)]. 6322 L(K(x,y \ (x \ z)),u * x,w) = K(L(x,u,w),(y * x) \ z). [para(6317(a,1),6278(a,1,1))]. 6323 T(x,y) \ L(T(x,y),z,x) = x \ L(x,z,x). [hyper(112,a,6319,a(flip),b,3953,a),flip(a)]. 6324 K((x / y) \ z,y) = K(x \ (z * y),y). [hyper(58,a,5403,a,b,6320,a)]. 6325 K(x \ ((y \ z) * y),y) = K(x \ z,y). [hyper(58,a,6313,a(flip),b,6320,a),flip(a)]. 6326 K(x \ (y * z),z) \ z = T(z,(z \ x) \ y). [para(6320(a,1),2682(a,2,1)),flip(a)]. 6327 K((x * y) \ (z * y),y) = K(x \ z,y). [para(6(a,1),6324(a,1,1,1)),flip(a)]. 6328 K((x * y) \ z,y) = K(x \ (y \ z),y). [hyper(58,a,6325,a(flip),b,6327,a)]. 6330 K(L(x \ y,x,z),y) = K(x \ y,y). [hyper(58,a,2664,a(flip),b,6282,a),flip(a)]. 6331 L(K(x \ (y \ z),u),y \ z,y) = K((y * x) \ z,u). [para(254(a,1),6282(a,2,1))]. 6332 L(K((x \ y) \ z,u),z,x) = K(y \ (x * z),u). [para(437(a,1),6282(a,2,1))]. 6333 L(K(L(x,y,z) \ x,u),x,z * y) = K(a(z,y,x),u). [para(1456(a,2),6282(a,2,1))]. 6334 K((x \ y) \ z,z) = K(y \ (x * z),z). [para(437(a,1),6330(a,1,1)),flip(a)]. 6335 (x * y) / L(y,z,y) = y * (L(y,z,y) \ x). [hyper(58,a,1381,a,b,6307,a)]. 6336 K(x,y) * (x \ L(x,z,x)) = x \ L(T(x,y),z,x). [para(6323(a,1),3174(a,1,2))]. 6337 T(x,(x \ y) \ z) = T(x,y \ (z * x)). [hyper(2726,a,6326,a),flip(a)]. 6338 T(x,y \ ((x \ z) * x)) = T(x,y \ z). [hyper(58,a,6316,a(flip),b,6337,a),flip(a)]. 6339 (x * K(y \ (z \ x),z)) * u = (y * ((z \ (y \ x)) * z)) * u. [hyper(52,a,6315,a)]. 6340 (x * ((y \ (x \ z)) * y)) \ z != u | K(y,x \ (y \ z)) = u. [para(6315(a,1),3924(a,1,1))]. 6341 (x * y) * K(z,x \ (z \ (x * y))) = x * (z * (y / z)). [hyper(58,a,2215,a(flip),b,6318,a),flip(a)]. 6342 (x * (y * z)) \ (x * (y * T(z,u))) != w | K(L(z,y,x),u) = w. [para(6275(a,2),508(a,1))]. 6343 (x * (y * z)) * K(L(z,y,x),y) = x * (z * y). [para(98(a,1),6276(a,2,2))]. 6344 (x * (y * z)) * K(z,L(y,z,x)) = x * (z * y). [hyper(3914,a,6343,a)]. 6345 K(x,(y * (z * x)) \ u) = K(x,(y * (x * z)) \ u). [para(6344(a,1),5817(a,1,2,1)),flip(a)]. 6346 K(x,(y * ((x \ z) * x)) \ u) = K(x,(y * z) \ u). [para(5(a,1),6345(a,2,2,1,2))]. 6347 L(K(x,(y * (x * z)) \ u),w * x,v5) = K(L(x,w,v5),(y * (z * x)) \ u). [para(6345(a,1),6278(a,1,1))]. 6348 (x * (y \ (y \ 1))) * K(z,L(1 / y,y \ 1,x)) = x * ((y \ 1) * T(1 / y,z)). [para(3034(a,1),6277(a,1,1,2))]. 6349 T(x,y * (z * T(u,x))) = T(x,y * (z * u)). [para(6277(a,1),5357(a,1,2))]. 6350 T(x,y * (z * (u / x))) = T(x,y * (z * (x \ u))). [para(100(a,1),6349(a,1,2,2,2)),flip(a)]. 6351 K(x,y \ (x \ (y * (z * x)))) != u | K(x,L(z,x,y)) = u. [para(6321(a,2),5351(a,1))]. 6352 L(K(x * (y \ z),u),y \ z,y) = K((y * (x \ 1)) \ z,u). [para(5719(a,1),6331(a,1,1))]. 6353 K(L(x,y / T(x,z),u),w) = L(K(x,w),y,u). [para(5243(a,1),6310(a,1,1)),flip(a)]. 6354 L(K(x,y),x * z,u) = K(L(x,z,u),y). [para(170(a,1),6353(a,1,1,2)),flip(a)]. 6355 K(L(x,x \ y,z),u) = L(K(x,u),y,z). [para(239(a,1),6353(a,1,1,2))]. 6357 K(L(x,y,z),x * y) = K(x,x * y). [hyper(58,a,2664,a(flip),b,6354,a),flip(a)]. 6358 L(K(x,y),K(z,x) * u,w) = K(L(x,T(x,z) \ u,w),y). [para(3953(a,1),6354(a,1,2))]. 6359 L(K(x,y),T(x,z) * u,w) = K(L(T(x,z),u,w),T(y,z)). [para(5243(a,1),6354(a,1,1))]. 6360 L(K(x,y),T(x,z) * u,w) = K(L(x,u,w),y). [hyper(272,a,5283,a(flip),b,6359,a),flip(a)]. 6362 K(L(x,T(x,y) \ z,u),w) = L(K(x,w),z,u). [para(5(a,1),6360(a,1,2)),flip(a)]. 6363 K(L(x,T(x,y) \ 1,z),u) = K(x,u). [hyper(272,a,317,a(flip),b,6362,a),flip(a)]. 6364 L(K(x,y),K(z,x) * u,w) = L(K(x,y),u,w). [hyper(58,a,6358,a,b,6362,a)]. 6365 K(L(x,x \ K(y,x),z),u) = K(x,u). [para(2679(a,1),6363(a,1,1,2))]. 6366 L(K(x,y),K(z,x),u) = K(x,y). [hyper(58,a,6355,a(flip),b,6365,a)]. 6367 (x * K(y,z)) * K(z,u) = x * (K(y,z) * K(z,u)). [hyper(114,a,6366,a(flip),b,13,a(flip))]. 6369 (x * K(y,z)) * R(K(z,u),w,v5) = x * (K(y,z) * R(K(z,u),w,v5)). [para(6366(a,1),362(a,1,2,1))]. 6371 L(K(x,y),z * K(u,x),w) = L(K(x,y),z,w). [para(5225(a,1),6364(a,1,2))]. 6372 R(x,K(y,z),K(z,u)) = x. [hyper(453,a,6367,a)]. 6373 x * (K(y,z) * K(z,z * y)) = (x / R(z,y,z)) * z. [hyper(58,a,5147,a(flip),b,6367,a),flip(a)]. 6374 x * (K(y * z,y) * K(y,z)) = (x * y) / L(y,z,y). [hyper(58,a,5132,a(flip),b,6367,a),flip(a)]. 6375 (K(x,y) * (K(y,z) * u)) / u = K(x,y) * K(y,z). [hyper(879,a,6367,a(flip))]. 6376 (x * K(y,z)) * K(z,u) = x * (K(z,u) * K(y,z)). [para(1491(a,2),6367(a,2,2))]. 6377 (x * K(y,z)) / K(u,z) = x / (K(u,z) * K(z,y)). [hyper(58,a,3925,a(flip),b,6372,a),flip(a)]. 6378 R(x,L(K(y,z),u,w),K(z,v5)) = x. [para(4818(a,1),6372(a,1,2))]. 6379 (x * L(K(y,z),u,w)) * K(z,v5) = x * (L(K(y,z),u,w) * K(z,v5)). [para(6378(a,1),93(a,1,1)),flip(a)]. 6380 (x * y) \ ((x * (y * K(z,u))) * K(u,w)) = L(K(z,u),y,x) * K(u,w). [para(6378(a,1),470(a,1,1))]. 6381 (K(x,y) * K(y,z)) * u = K(x,y) * (K(y,z) * u). [hyper(125,a,6375,a)]. 6382 x / (K(y,z) * K(z,u)) = (x * K(u,z)) * K(z,y). [hyper(3916,a,6377,a),flip(a)]. 6383 x / (K(y,z) * K(z,u)) = x * (K(u,z) * K(z,y)). [hyper(272,a,6367,a(flip),b,6382,a),flip(a)]. 6384 K(x,(x * y) \ z) != u | K(x,y \ (x \ z)) = u. [para(4076(a,1),6340(a,1))]. 6385 K((x * y) / (x * (z \ y)),u) = (x * (K(z,u) * y)) / (x * y). [para(3194(a,1),3754(a,1,1,2)),flip(a)]. 6386 ((x * y) * y) * (z * (((y * y) * x) \ 1)) = T(z,y * (y * x)). [hyper(272,a,5989,a(flip),b,3768,a),flip(a)]. 6387 T(K(x,y) * z,u) * T(K(y,x),T(w,T(K(x,y) * z,u))) = K(K(y,x),w) * (K(y,x) * T(z * K(x,y),u)). [para(3881(a,1),5441(a,1,2)),flip(a)]. 6388 (x \ y) * ((y * (y * x)) \ y) = (x \ (y \ 1)) * (x \ y). [para(4355(a,1),4042(a,1,1)),flip(a)]. 6389 (x \ y) / (x * (y * (1 / x))) = T(1 / x,T(y,x)). [hyper(6122,a,4062,a),flip(a)]. 6390 (x \ y) / (x * (y * (1 / x))) = T(1 / x,y). [hyper(272,a,5368,a(flip),b,6389,a),flip(a)]. 6391 (x \ y) * ((x \ y) / (x * (y * (1 / x)))) = x \ (x \ y). [para(6390(a,2),3550(a,1,2))]. 6392 K(x,((y / z) * u) \ (y * u)) = ((y * K(z,x)) * u) \ (y * u). [para(3696(a,1),4074(a,1,1,1)),flip(a)]. 6393 K(x,T(y \ z,u) \ T(z,u)) = T(K(y,x) * z,u) \ T(z,u). [para(3194(a,1),4075(a,1,1,1)),flip(a)]. 6395 (x \ T(y,x)) * (x \ T(y,x)) = (x \ y) * (x \ y). [hyper(272,a,6269,a(flip),b,4141,a),flip(a)]. 6396 ((x * x) \ y) * ((x * x) \ y) = (x \ (x \ y)) * (x \ (x \ y)). [para(3009(a,1),4142(a,2,2))]. 6397 ((x \ y) \ 1) \ (y \ 1) = (y \ 1) \ ((y \ 1) / x). [para(72(a,1),4167(a,1,2,2)),flip(a)]. 6399 ((x \ y) \ 1) \ (y \ 1) = y \ (y / x). [hyper(272,a,4928,a(flip),b,6397,a),flip(a)]. 6400 (K(x,y) * (x * z)) / (x * (z * K(x,y))) = K(x,K(y,x * z)). [hyper(272,a,5502,a(flip),b,4311,a),flip(a)]. 6401 x * ((y * T(y,x \ 1)) * x) = (y * x) * (y * x). [hyper(58,a,3161,a(flip),b,4323,a),flip(a)]. 6402 (K(x,y) * z) * (u * K(x,y)) = T(z * u,K(x,y)). [hyper(272,a,2982,a(flip),b,4325,a),flip(a)]. 6403 T((K(x,y) * z) * u,K(x,y)) = z * (u * K(x,y)). [para(3893(a,1),6402(a,1,1)),flip(a)]. 6404 T(x,K(y,z)) != u * (w * K(y,z)) | (K(y,z) * u) * w = x. [para(6403(a,1),44(a,1)),flip(a)]. 6405 (x * (y * K(z,u))) * K(z,u) = K(z,u) * ((K(z,u) * x) * y). [para(6403(a,1),2778(a,1,1))]. 6406 (x * (y * K(z,u))) * K(z,u) != w | K(z,u) * ((K(z,u) * x) * y) = w. [para(6403(a,1),2808(a,1,1))]. 6407 T(x \ (x \ (x \ (x \ 1))),y) = T(x * (x * (x * x)),y) \ 1. [para(3633(a,1),4407(a,1,1))]. 6408 (x * (y \ (1 / y))) * (z * x) = x * (((y \ 1) * (y \ z)) * x). [para(3787(a,1),4606(a,2,2,1))]. 6409 (1 / (x * y)) / (y \ 1) = y / (T(y,y \ 1) * x). [para(72(a,1),4647(a,1,1)),flip(a)]. 6411 x / (T(x,x \ 1) * y) = (1 / x) / (x \ y). [hyper(58,a,5877,a(flip),b,6409,a),flip(a)]. 6412 (x * (y \ (1 / y))) * K(z,y \ 1) = (x / y) * T(1 / y,z). [para(2369(a,1),4683(a,1,2))]. 6413 (x * y) * T(x * y,y * y) = (y * y) * (y * ((x / y) * x)). [para(5094(a,1),4688(a,2,2))]. 6414 (x * y) \ (x * ((1 / y) \ x)) = T(T(x,y \ 1),x * y). [para(3033(a,1),4707(a,1,1)),flip(a)]. 6415 a(x * (1 / (x * y)),z,u) = a(x * (y \ (1 / x)),z,u). [para(4866(a,1),4736(a,1,1)),flip(a)]. 6416 (((x * y) \ (x * x)) \ x) * x != z | x * T(y,y \ (x * x)) = z. [para(4762(a,2),541(a,1))]. 6417 (((x * y) \ (x * x)) \ x) * x = x * (x * ((y \ x) \ 1)). [para(4954(a,1),4762(a,2,2))]. 6418 (((x * y) \ (x * x)) \ x) * x = (y \ x) \ (x * x). [hyper(272,a,3290,a(flip),b,6417,a),flip(a)]. 6419 (x * (y * (z \ 1))) * z = (z \ 1) * ((z * x) * y). [para(72(a,1),4829(a,1,2,1,1)),flip(a)]. 6421 (x \ 1) * ((x * y) * (x * z)) = (y * T(z,x \ 1)) * x. [para(378(a,1),6419(a,1,1,2)),flip(a)]. 6422 (x * T(x,y \ 1)) * y = (y * x) * T(x,y \ 1). [hyper(58,a,2957,a(flip),b,6421,a),flip(a)]. 6423 x * ((x * y) * T(y,x \ 1)) = (y * x) * (y * x). [para(6422(a,1),6401(a,1,2))]. 6424 x * ((y / (x \ 1)) * y) = (y * x) * (y * x). [para(3226(a,1),6423(a,1,2))]. 6425 ((x \ 1) \ y) * ((x \ 1) \ y) = (y * x) * (y * x). [hyper(58,a,4116,a,b,6424,a)]. 6426 (x \ (y \ 1)) \ (1 / (x \ (y \ 1))) = (x * y) * (x * y). [hyper(6224,a,6425,a)]. 6427 (x * ((y * y) * (y * y))) / z = (y * (y * (y * (y * x)))) / z. [para(3544(a,1),4844(a,1,1)),flip(a)]. 6429 x * (((1 / (x * y)) * (1 / (x * y))) / x) = (x \ 1) * (((x * y) \ 1) / y). [para(4929(a,1),4883(a,1,2)),flip(a)]. 6430 T(1 / x,y * (x * y)) = L(x,T(y,x),y) \ 1. [para(2845(a,1),5025(a,1,1)),flip(a)]. 6431 (x * x) * (x * ((x \ y) * (x \ y))) = (y * x) * y. [hyper(272,a,137,a(flip),b,5040,a),flip(a)]. 6433 (x * x) * ((y / x) * y) = (y * x) * y. [para(4085(a,1),6431(a,1,2))]. 6434 (x \ 1) * ((y * x) * y) = x * ((y / x) * y). [hyper(114,a,6433,a(flip),b,3523,a)]. 6435 x * (x * (x * ((y / x) * y))) = (1 / x) \ ((y * x) * y). [para(6433(a,1),3636(a,1,2)),flip(a)]. 6436 (1 / x) * ((y / (1 / x)) * y) = x * ((y * (1 / x)) * y). [hyper(533,a,6434,a),flip(a)]. 6437 (1 / x) * ((y / (1 / x)) * y) != z | x * ((y * (1 / x)) * y) = z. [para(6434(a,1),533(a,1))]. 6438 (x * ((1 / y) \ x)) * (1 / y) = y * ((x * (1 / y)) * x). [hyper(4558,a,6436,a)]. 6439 ((x / (y \ 1)) / (1 / x)) * (1 / y) = y * ((x * (1 / y)) * x). [para(4843(a,2),6438(a,1,1))]. 6440 1 / T((L(x,y,z) \ 1) * x,x) = (x \ 1) * L(x,y,z). [hyper(272,a,5875,a(flip),b,5048,a),flip(a)]. 6441 1 / T(x * (1 / L(x,y,z)),x) = (x \ 1) * L(x,y,z). [para(2853(a,1),6440(a,1,2,1))]. 6442 1 / (x * (1 / L(x,y,z))) = (x \ 1) * L(x,y,z). [para(6020(a,1),6441(a,1,2))]. 6443 (x * ((1 / x) * y)) \ 1 = x * ((1 / x) * (y \ 1)). [hyper(35,a,4849,a,b,5050,a)]. 6444 (x \ (x \ 1)) \ (((x * x) \ y) * z) = x * (((x \ y) * (z * x)) / x). [hyper(58,a,4378,a,b,5158,a)]. 6445 K((x \ (y / (z \ 1))) \ 1,y) = K((x \ (y * z)) \ 1,y). [hyper(272,a,4330,a(flip),b,5194,a),flip(a)]. 6446 K((x \ (y * z)) \ 1,y) = K((y / (z \ 1)) \ x,y). [hyper(4768,a,6445,a),flip(a)]. 6447 K((x / (y \ 1)) \ z,x) = K((x * y) \ z,x). [hyper(4768,a,6446,a),flip(a)]. 6448 K(((x \ 1) \ y) \ z,y) = K((y * x) \ z,y). [hyper(6209,a,6447,a)]. 6449 K(((x \ 1) \ y) \ z,y) = K(x \ (y \ z),y). [hyper(272,a,6285,a(flip),b,6448,a),flip(a)]. 6450 K((x \ 1) \ (y \ z),y) = K((x \ y) \ z,y). [hyper(58,a,2429,a(flip),b,6449,a),flip(a)]. 6451 K((x \ y) \ (z * y),y) = K((x \ 1) \ z,y). [hyper(58,a,5406,a(flip),b,6450,a),flip(a)]. 6452 T(x,(y \ x) \ (z * x)) = 1 / (x \ K((y \ 1) \ z,x)). [para(6451(a,1),2866(a,2,2,2))]. 6453 T(x,(y \ x) \ (z * x)) = T(x,(y \ 1) \ z). [hyper(272,a,2866,a,b,6452,a),flip(a)]. 6454 T(x,(y \ 1) \ (x \ z)) = T(x,(y \ x) \ z). [hyper(58,a,6338,a(flip),b,6453,a),flip(a)]. 6455 K(x,(y \ 1) \ (x \ z)) = x \ T(x,(y \ x) \ z). [hyper(112,a,6454,a(flip),b,2674,a(flip)),flip(a)]. 6456 K(x,(y \ 1) \ (x \ z)) = K(x,(y \ x) \ z). [hyper(272,a,2672,a,b,6455,a),flip(a)]. 6457 K(x,(y \ x) \ z) = K(x,y * (x \ z)). [hyper(58,a,5968,a(flip),b,6456,a),flip(a)]. 6458 K(x,(y \ x) \ (x * z)) = K(x,y * z). [para(4(a,1),6457(a,2,2,2))]. 6459 (x \ 1) * (x \ (K(y,1 / x) * z)) = T(x \ 1,y) * (x \ z). [para(2369(a,2),5222(a,1,2,2,1))]. 6460 K(x,y / z) * K(z \ y,z) = z \ (y / T(y / z,x)). [hyper(58,a,4496,a(flip),b,5305,a),flip(a)]. 6461 T(x,y / z) * K(z \ y,z) = (y / z) \ (x * (z \ y)). [hyper(272,a,4080,a(flip),b,5489,a),flip(a)]. 6462 T(T(x,y),z / x) = T(T(x,y),x \ z). [hyper(30,a,1891,a,b,5489,a),flip(a)]. 6463 x \ ((y / z) \ (x * (z \ y))) = K(x,y / z) * K(z \ y,z). [hyper(112,a,6461,a(flip),b,2687,a)]. 6464 (K(x,y) * z) * (K(x,y) * z) = T(z,K(x,y)) * z. [para(2982(a,1),5619(a,1,1)),flip(a)]. 6465 (K(x,y) * z) * (K(x,y) * z) = z * T(z,K(x,y)). [hyper(272,a,218,a(flip),b,6464,a),flip(a)]. 6466 (x * K(y,z)) * (x * K(y,z)) = x * T(x,K(y,z)). [hyper(5768,a,6465,a)]. 6467 L(x,y * K(z,u),y * K(z,u)) = T(x,y * T(y,K(z,u))). [para(6466(a,1),2952(a,1,2)),flip(a)]. 6468 1 / (L(T(x,y),z,u) \ x) = x \ L(T(x,y),z,u). [hyper(34,a,5700,a,b,5681,a)]. 6470 (x \ (1 / y)) * (x \ (1 / y)) = (x \ (y \ 1)) * (x \ (y \ 1)). [hyper(4117,a,5836,a),flip(a)]. 6471 (x \ (1 / y)) * (x \ (1 / y)) != z | (x \ (y \ 1)) * (x \ (y \ 1)) = z. [para(5836(a,1),4117(a,1))]. 6472 T(K(x,T(y,z)) * u,K(y,x)) = K(x,K(y,z)) * (u * K(x,y)). [hyper(272,a,5900,a,b,5838,a)]. 6473 (x * (1 / ((x * y) * z))) \ 1 = x * (y * (z * (1 / x))). [hyper(30,a,1158,a(flip),b,5869,a),flip(a)]. 6474 (x \ 1) * T((x * y) * z,x) = x * (y * (z * (1 / x))). [hyper(4755,a,6473,a)]. 6475 ((x * x) * (1 / (((x * x) * L(y,x,x)) * z))) \ 1 = x * (x * (y * L(z * (1 / (x * x)),x,x))). [hyper(272,a,5957,a(flip),b,6473,a),flip(a)]. 6476 K(x,y / (z * (1 / ((z * u) * w)))) = K(x,y * (z * (u * (w * (1 / z))))). [para(6473(a,1),5973(a,1,2,2)),flip(a)]. 6477 (x \ ((x * y) * z)) * (1 / x) = y * (z * (1 / x)). [hyper(4728,a,6474,a)]. 6478 (x \ 1) * ((1 / x) * T((x * y) * z,x)) = (1 / x) * (x * (y * (z * (1 / x)))). [para(6474(a,1),1072(a,1,2)),flip(a)]. 6479 (x * (y * (1 / z))) / (1 / z) = z \ ((z * x) * y). [hyper(122,a,6477,a)]. 6480 (x \ (y * z)) * (1 / x) = (x \ y) * (z * (1 / x)). [para(5(a,1),6477(a,1,1,2,1))]. 6481 ((1 / x) \ (x \ ((x * y) * z))) * 1 = x * ((y * (z * (1 / x))) * x). [para(6477(a,1),108(a,1,2,1)),flip(a)]. 6482 (x \ 1) * (x \ ((x * y) * z)) = T(y * (z * (1 / x)),x). [para(6477(a,1),3127(a,1,1)),flip(a)]. 6483 (x * (y * (1 / (1 / z)))) / (1 / (1 / z)) = (x * (y * z)) / z. [hyper(272,a,663,a(flip),b,6479,a),flip(a)]. 6484 x \ ((x * y) * L(z,x,x)) = (y * (z / x)) / (1 / x). [para(2972(a,1),6479(a,1,1,2)),flip(a)]. 6485 (x * ((y * y) / z)) / (1 / z) = z \ ((z * x) * (y * y)). [para(3329(a,1),6479(a,1,1,2))]. 6487 (x \ 1) * (((x \ 1) \ y) * z) = (y * (z / x)) / (1 / x). [hyper(58,a,6151,a(flip),b,6484,a)]. 6488 L(x \ 1,y,y) \ T(z * (u * (1 / x)),x) = a(x \ 1,y,y) * (x \ ((x * z) * u)). [para(6482(a,1),6143(a,1,2))]. 6489 (x * ((y * y) / z)) / (1 / z) = z \ (y * (y * (z * x))). [para(2956(a,1),6485(a,2,2))]. 6490 (1 * (((((x \ 1) \ 1) \ y) * z) / x)) / (1 / x) = (x \ 1) * ((y * (z / (x \ 1))) / (1 / (x \ 1))). [para(6487(a,1),6487(a,1,2)),flip(a)]. 6491 (x * ((y * y) / L(z,u,u))) / (1 / L(z,u,u)) = a(z,u,u) * (z \ (y * (y * (L(z,u,u) * x)))). [hyper(272,a,6141,a,b,6489,a),flip(a)]. 6492 (x * (y * ((z \ 1) \ 1))) * (1 / z) = z * (((z \ 1) * x) * y). [hyper(125,a,5892,a)]. 6493 (((((x \ 1) \ 1) \ y) * z) / x) / (1 / x) = ((x \ 1) * y) * L(z,x,x). [hyper(58,a,3105,a,b,5948,a)]. 6494 L(L(K(x,y) / x,z,z) * y,z,z) = L(y,z,z) / x. [para(5963(a,1),5951(a,1,1,1,1,1))]. 6495 L(L(K(x,y) / y,z,z) * x,z,z) = L(x,z,z) / y. [para(28(a,1),6494(a,1,1,1,1,1))]. 6497 L((K(x,y) / L(y,z,z)) * x,z,z) = L(x,z,z) / y. [para(6173(a,1),6495(a,1,1,1))]. 6498 L(x / L(y,z,z),z,z) = L(x,z,z) / y. [para(5970(a,1),6497(a,1,1))]. 6499 L(x \ L(y,z,z),z,z) = y * L(T(x,y) \ 1,z,z). [para(5976(a,1),5955(a,1,2,1,1)),flip(a)]. 6500 L(x \ L(y,z,z),z,z) = y * (L(T(x,y),z,z) \ 1). [para(3798(a,1),6499(a,2,2))]. 6502 L(x \ L(y,z,z),z,z) = L(x,z,z) \ y. [hyper(272,a,3050,a(flip),b,6500,a),flip(a)]. 6503 L(L(x,y,y) \ z,y,y) = x \ L(z,y,y). [hyper(2973,a,6502,a)]. 6504 L(a(x \ 1,y,y),x,K(z,u)) = a(y,y,K(z,u) * x). [hyper(1200,a,5961,a)]. 6505 L(a(x,y,y),x,K(z,u)) = a(y,y,K(z,u) * x). [para(4246(a,1),6504(a,1,1))]. 6506 L(x,y,K(z,u)) != a(w,w,K(z,u) * y) | a(y,w,w) = x. [para(6505(a,1),45(a,1)),flip(a)]. 6507 T(x,y \ T(y \ 1,z)) = T(x,z \ (y \ (z / y))). [para(1137(a,1),6024(a,1,2,2)),flip(a)]. 6508 T(T(x,y \ z),K(u,y \ z)) = T(x,T((y \ 1) * z,u)). [para(6081(a,1),6025(a,1,2))]. 6509 T(x,T((y \ 1) * z,u)) != w | T(x,T(y \ z,u)) = w. [para(6508(a,1),5497(a,1))]. 6510 T(x,T((y \ 1) / z,u)) = T(x,T(y \ (z \ 1),u)). [hyper(6509,a,5991,a),flip(a)]. 6511 T(x,T(((1 / y) \ z) * u,y)) != w | T(x,y * (y * (z * (u / y)))) = w. [para(6041(a,2),6102(a,1))]. 6512 K(x,y * (z * ((1 / y) \ z))) = a(x,z * y,z * y). [hyper(5662,a,6075,a),flip(a)]. 6513 L((L(x,y,z) * x) * u,x,x) = (x * L(x,y,z)) * L(u,x,x). [para(219(a,2),6149(a,1,1,1))]. 6514 (x * L(x,y,z)) * L(L(u,L(x,y,z),x),x,x) = L(x * (L(x,y,z) * u),x,x). [para(87(a,1),6149(a,1,1)),flip(a)]. 6515 T(x * (y * x),x * ((y * x) \ 1)) = (((1 / x) \ y) \ 1) \ x. [para(3008(a,1),6159(a,1,2))]. 6516 T((x * y) * K(z,x * y),K(z,y)) != (x * y) * u | K(z,y * x) = u. [para(6170(a,2),38(a,1))]. 6517 ((x * y) \ x) * (x \ (y \ x)) = T(y,x) \ (x \ (x / y)). [hyper(58,a,6235,a(flip),b,6219,a),flip(a)]. 6518 ((x \ y) \ 1) \ ((y \ x) * z) = (z / (y \ x)) * ((x \ y) \ 1). [hyper(272,a,4662,a(flip),b,6233,a),flip(a)]. 6519 ((x \ y) \ 1) \ (y \ (y / x)) = (y \ x) \ ((y \ x) \ (y \ 1)). [para(6399(a,1),6234(a,1,2))]. 6520 K(x,y) * (K(y,z) * u) != w | K(y,z) * (K(x,y) * u) = w. [para(6256(a,1),2808(a,1))]. 6521 (x * K(y * z,y)) * K(y,z) = K(y * z,y) * (K(y,z) * x). [para(5552(a,1),6256(a,1,1))]. 6522 T(x,y) \ (T(x,z) * u) != w | K(x,z) * (K(y,x) * u) = w. [para(3943(a,2),6520(a,1))]. 6524 ((x \ y) * (x \ y)) * (x * x) = (x * y) * ((1 / x) * y). [para(3352(a,1),6270(a,1,1)),flip(a)]. 6525 ((x * x) * (x \ y)) * (x \ y) = (x * y) * ((1 / x) * y). [hyper(3291,a,6524,a)]. 6526 x * (x * ((x \ y) * (x \ y))) = (x * y) * ((1 / x) * y). [hyper(3013,a,6524,a)]. 6527 ((x \ 1) \ y) * (x \ y) = (x * y) * ((1 / x) * y). [para(3498(a,1),6525(a,1,1))]. 6528 (x * y) * ((1 / x) * y) = x * ((y / x) * y). [para(4085(a,1),6526(a,1,2)),flip(a)]. 6529 ((x \ 1) \ y) * (x \ y) = x * ((y / x) * y). [hyper(58,a,6527,a,b,6528,a)]. 6530 (x \ y) * (x * y) = x * ((y / x) * y). [hyper(6160,a,6529,a)]. 6531 (1 / x) * ((T(y,x \ 1) / (1 / x)) * T(y,x \ 1)) = ((1 / x) \ T(y,x \ 1)) * (y * (1 / x)). [para(1966(a,1),6530(a,1,2)),flip(a)]. 6532 (x \ (T(y,x) \ 1)) * (x * (T(y,x) \ 1)) = x * (T(y \ (x \ 1),x) * (T(y,x) \ 1)). [para(4353(a,1),6530(a,2,2,1))]. 6533 x * (x * ((x \ 1) \ ((y / x) * y))) = (x * x) * ((x \ y) * (x * y)). [para(6530(a,2),3108(a,2,2))]. 6534 (x \ ((y \ (x * z)) * y)) * u = (z * K((x \ 1) \ (y \ z),y)) * u. [para(2547(a,1),6339(a,2,1)),flip(a)]. 6535 L(K(x,y),z * x,u) != w | K(L(x,z,u),y) = w. [para(3676(a,1),6342(a,1))]. 6536 K(L(x,y,z),L(u,w,x)) != v5 | K(L(x,y,z),u) = v5. [para(6295(a,2),6535(a,1))]. 6537 K(L(x,y,z),(u * x) \ w) != v5 | K(L(x,y,z),u \ (x \ w)) = v5. [para(6322(a,1),6535(a,1))]. 6538 K(x,(y * z) / (y * (u \ z))) * (y * (K(u,x) * z)) = y * z. [hyper(3906,a,6385,a)]. 6539 ((x * y) * y) * (z * (((y * y) * x) \ 1)) = T(z,x * (y * y)). [para(2956(a,2),6386(a,2,2))]. 6540 ((x * K(y,z)) * u) * K(z,((x / y) * u) \ (x * u)) = x * u. [hyper(114,a,6392,a,b,xx)]. 6541 T(K(x,y) * z,u) * K(y,T(x \ z,u) \ T(z,u)) = T(z,u). [hyper(114,a,6393,a,b,xx)]. 6542 x * ((x \ (x \ y)) * (x \ (x \ y))) = ((x * x) \ y) * (y / x). [para(6396(a,1),3268(a,1,2))]. 6543 (T(x,y) * z) / (x * (z * K(x,y))) = K(x,K(y,x * z)). [para(2750(a,1),6400(a,1,1))]. 6544 (T(x,y) * z) / (x * (z * K(x,y))) = K(K(y,x),T(x,y) * z). [hyper(272,a,5532,a,b,6543,a),flip(a)]. 6545 (x * ((y * y) * (y * y))) / x = y * (y * (y * y)). [hyper(272,a,5039,a(flip),b,6427,a),flip(a)]. 6546 (x * (y * (y * (y * y)))) / x = y * (y * (y * y)). [para(2956(a,1),6545(a,1,1,2))]. 6547 T(x * (x * (x * x)),y) = x * (x * (x * x)). [hyper(2785,a,6546,a)]. 6548 T(x \ (x \ (x \ (x \ 1))),y) = (x * (x * (x * x))) \ 1. [para(6547(a,1),6407(a,2,1))]. 6549 T(x \ (x \ (x \ (x \ 1))),y) = x \ (x \ (x \ (x \ 1))). [hyper(272,a,4873,a(flip),b,6548,a),flip(a)]. 6551 (x \ 1) * (x \ (K(1 / x,y) * z)) = T(x \ 1,y) * (x \ z). [para(28(a,1),6459(a,1,2,2,1))]. 6552 x \ ((y / z) \ (x * (z \ y))) = z \ (y / T(y / z,x)). [hyper(272,a,6460,a(flip),b,6463,a),flip(a)]. 6553 K(x,y) * T(K(y,K(x,z)) * (u * K(y,x)),w) = T(K(y,T(x,z)) * u,w) * K(x,y). [para(6472(a,1),212(a,1,2,1))]. 6554 (x * (y * ((z \ 1) \ 1))) / (1 / (1 / z)) = (x * (y * z)) / z. [para(2898(a,1),6483(a,1,1,2,2))]. 6555 (L(x,y,y) * (z * ((y \ 1) \ 1))) * (1 / y) = y * ((y \ x) * z). [para(2030(a,1),6492(a,2,2,1))]. 6556 K(x,(y * (z * ((u \ 1) \ 1))) / u) = K(x,u * (((u \ 1) * y) * z)). [para(6492(a,1),6072(a,1,2)),flip(a)]. 6557 (x * L(x,y,z)) * L(L(u,x,L(x,y,z)),x,x) = L(L(x,y,z) * (x * u),x,x). [para(87(a,1),6513(a,1,1)),flip(a)]. 6558 T(x * (y * x),x / (y * x)) = (((1 / x) \ y) \ 1) \ x. [hyper(6059,a,6515,a)]. 6559 T(x * (y * x),y \ 1) = (((1 / x) \ y) \ 1) \ x. [hyper(58,a,4479,a(flip),b,6558,a)]. 6560 T(x * (y * x),y \ 1) = x / (1 / (y * x)). [hyper(272,a,3512,a(flip),b,6559,a),flip(a)]. 6562 (x * T(x,y)) * T(y,y \ 1) = x / (1 / (y * x)). [hyper(58,a,5019,a,b,6560,a)]. 6563 ((x \ 1) \ (y * T(y,x))) * x = x * (y / (1 / (x * y))). [para(6562(a,1),1992(a,1,2)),flip(a)]. 6564 (x * x) * (x * ((y / x) * y)) = x * (y / (1 / (x * y))). [hyper(58,a,4532,a(flip),b,6563,a)]. 6565 ((x \ y) * ((y \ x) * z)) * (x \ y) = z / (y \ x). [hyper(727,a,6518,a)]. 6566 (x \ y) * ((y \ x) * (z * (y \ x))) = z / (x \ y). [hyper(113,a,6,a(flip),b,6565,a),flip(a)]. 6567 ((x \ y) * z) / ((y \ x) \ 1) = (y \ x) \ (z / (x \ y)). [hyper(112,a,6565,a(flip),b,696,a),flip(a)]. 6568 ((x \ y) \ z) / (x \ y) = ((y \ x) * z) * (y \ x). [para(5(a,1),6565(a,1,1,2)),flip(a)]. 6569 (x \ y) \ (z / (x \ y)) = (y \ x) * (z * (y \ x)). [hyper(117,a,6566,a)]. 6570 (x \ y) * ((((y \ x) * z) * u) * (x \ y)) = z * (u * ((y \ x) \ 1)). [hyper(29,a,1133,a,b,6566,a),flip(a)]. 6571 ((x \ y) \ (z / (y \ x))) / (x \ y) = ((y \ x) \ 1) \ z. [hyper(272,a,3480,a(flip),b,6568,a),flip(a)]. 6572 x / (y \ z) != ((z \ y) * u) * (z \ y) | (y \ z) \ u = x. [para(6568(a,1),41(a,1)),flip(a)]. 6573 (x \ (x * (x / y))) * (z * (x \ (x * (x / y)))) = (y / x) \ (z / ((x * (x / y)) \ x)). [para(3309(a,1),6569(a,1,1)),flip(a)]. 6574 (x \ y) * (z / ((y \ x) \ 1)) = (x \ y) \ (z / (y \ x)). [hyper(58,a,4664,a(flip),b,6567,a)]. 6575 ((x \ y) \ 1) \ (y \ (y / x)) = (y \ x) \ (y * ((x * y) \ 1)). [para(4344(a,1),6519(a,2,2))]. 6576 K(x * y,x) * (K(x,y) * z) = z * (K(x,y) * K(x * y,x)). [hyper(58,a,6376,a(flip),b,6521,a),flip(a)]. 6577 K(x,(y * z) / (y * (u \ z))) = (y * z) / (y * (K(u,x) * z)). [hyper(122,a,6538,a),flip(a)]. 6578 K(x,y) * (R(y,z,u) * (K(y,x) * w)) = R(y,z,u) * w. [para(1091(a,1),6538(a,1,1,2))]. 6579 K(x,(y * (K(z,x) * u)) \ w) = K(x,(y * u) \ w). [para(6538(a,1),5821(a,1,2,1)),flip(a)]. 6580 K(x,y / ((z * (K(u,x) * w)) * v5)) = K(x,y / ((z * w) * v5)). [para(6538(a,1),6260(a,1,2,2,1)),flip(a)]. 6581 K(x,y) * (R(T(y,z),u,w) * (K(T(y,z),T(x,z)) * v5)) = R(T(y,z),u,w) * v5. [para(5243(a,1),6578(a,1,1))]. 6582 ((x * y) * y) * (z * (y \ (y \ (x \ 1)))) = T(z,x * (y * y)). [para(3478(a,1),6539(a,1,2,2))]. 6583 K(((x / y) * z) \ (x * z),u) = (x * z) \ ((x * K(y,u)) * z). [para(6540(a,1),3899(a,1,1)),flip(a)]. 6584 K(x,T(K(y,x) * z,u)) = K(x,T(z,u)). [para(6541(a,1),5374(a,1,2)),flip(a)]. 6585 K(T(x,y),K(z,x) * u) = K(x,T(u,y)). [hyper(5293,a,6584,a)]. 6586 K(T(x,y),T(x,z) \ u) = K(x,T(x \ u,y)). [para(3885(a,1),6585(a,1,2))]. 6587 ((x \ y) / x) * (x \ y) = ((x * x) \ y) * (y / x). [hyper(4118,a,6542,a)]. 6588 T(T(x,y) * z,K(y,x)) = x * (z * K(x,y)). [hyper(31,a,2670,a(flip),b,6544,a)]. 6589 x \ (T(1 / x,y) * z) = T(x \ 1,y) * (x \ z). [hyper(58,a,3180,a(flip),b,6551,a)]. 6590 T((x \ y) \ 1,x) * ((x \ y) \ z) = (x \ y) \ ((x / y) * z). [para(3030(a,1),6589(a,1,2,1)),flip(a)]. 6591 (x * (1 / (y * (z * ((x \ 1) \ 1))))) \ 1 = (y * (z * x)) / x. [hyper(4791,a,6554,a)]. 6592 (x * (y * z)) \ ((x * z) * T(y,z)) = a(x,z * K(y,z),y). [para(3714(a,1),2896(a,1,2))]. 6593 a(x,y * K(z,y),z) = a(x,y,T(z,y)). [hyper(859,a,6592,a),flip(a)]. 6594 a(x,T(y,z),z) = a(x,y,T(z,y)). [para(2652(a,2),6593(a,1,2))]. 6595 (x * x) * (((1 / x) * y) * z) != u | x * ((y * (z * x)) / x) = u. [para(3252(a,1),3603(a,1))]. 6596 (x * y) \ (y * T(x,z)) = K(y,x) * K(x,z). [para(6372(a,1),3681(a,1,1))]. 6597 (x * (y * L(x,z,u))) \ ((y * L(x,z,u)) * T(x,y)) = x \ R(x,y,L(x,z,u)). [hyper(272,a,6175,a(flip),b,6596,a),flip(a)]. 6598 K(x,y) * K(y,y \ x) = a(y,x / y,y). [hyper(58,a,2253,a(flip),b,6596,a),flip(a)]. 6599 (x * y) \ (y * T(x,z)) != u | K(x,z) * K(y,x) = u. [para(6596(a,2),1495(a,1))]. 6601 x \ R(x,x \ y,x) = a(x,y / x,x). [hyper(58,a,4289,a,b,6598,a)]. 6602 a(x,y / x,x) * K(x,y) = K(x,x \ y). [para(6598(a,1),3240(a,1,1))]. 6603 a(x,y / x,x) \ K(y,x) = K(x \ y,x). [para(6598(a,1),3899(a,1,1))]. 6604 a(x,(x * y) / x,x) = x \ R(x,y,x). [para(4(a,1),6601(a,1,2,2)),flip(a)]. 6605 x \ R(x,T(y,x),x) = a(x,y,x). [para(206(a,1),6604(a,1,2)),flip(a)]. 6606 x \ R(x,y,x) = a(x,y,x). [para(2348(a,1),6605(a,1,2))]. 6607 L(x,y,x) \ x = a(x,y,x). [hyper(5135,a,6606,a)]. 6608 K(x,y) * K(x * y,x) = a(x,y,x). [hyper(4290,a,6606,a)]. 6609 K(x * y,x) * K(x,y) = a(x,y,x). [hyper(4264,a,6606,a)]. 6610 R(x,y,x) / x = a(x,y,x). [hyper(1687,a,6606,a)]. 6611 a(x,y,x) * x = R(x,y,x). [para(6606(a,1),1682(a,1,1))]. 6613 T(x * y,x) / x = y * a(x,y,x). [para(6606(a,1),4851(a,1,2)),flip(a)]. 6614 a(x,y,x) \ x = L(x,y,x). [para(6606(a,1),5134(a,1,1))]. 6615 x / a(x,y,x) = L(x,y,x). [hyper(178,a,6607,a)]. 6616 L(L(x,y,L(x,z,u)),z,u) \ L(x,z,u) = a(L(x,z,u),y,L(x,z,u)). [para(25(a,1),6607(a,1,1))]. 6618 x / a(x,y,x) != z | L(x,y,x) = z. [para(6607(a,1),280(a,1,2))]. 6619 a(x,y,x) * K(x,x * y) = K(x,y). [hyper(3914,a,6608,a)]. 6620 K(x,y) * a(y,x,y) = K(y * x,y). [hyper(3894,a,6608,a)]. 6621 K(x,x * y) * a(x,y,x) = K(x,y). [hyper(114,a,6608,a(flip),b,3729,a)]. 6622 (x * y) * a(y,x,y) = T(y * x,y). [para(6608(a,1),5713(a,1,2))]. 6623 K(x * y,x) * (K(x,y) * z) = z * a(x,y,x). [para(6608(a,1),6576(a,2,2))]. 6624 K(x * y,x) * (K(x,y) * z) = a(x,y,x) * z. [para(6609(a,1),6381(a,1,1)),flip(a)]. 6625 x * (K(y,z) * K(z,z * y)) = x / a(z,y,z). [para(6609(a,1),6383(a,1,2)),flip(a)]. 6626 (x * y) / L(y,z,y) = x * a(y,z,y). [para(6609(a,1),6374(a,1,2)),flip(a)]. 6627 R(T(x * y,x) / x,z,u) = R(y,z,u) * a(x,R(y,z,u),x). [hyper(58,a,1446,a,b,6613,a)]. 6628 T(x * a(y,x,y),y) = y \ T(y * x,y). [para(6613(a,1),100(a,1,1))]. 6629 (x * y) \ (y * (T(z * T(x,y),z) / z)) = L(a(z,T(x,y),z),T(x,y),y). [para(6613(a,2),210(a,1,2,2))]. 6630 L(x * a(y,x,y),z,u) * y != w | y * L(y \ T(y * x,y),z,u) = w. [para(6613(a,1),741(a,1,1,1))]. 6632 x * (L(x,y,x) \ z) = z * a(x,y,x). [hyper(58,a,6335,a(flip),b,6626,a)]. 6633 (x \ y) * a(x,z,x) = L(x,z,x) \ y. [hyper(1284,a,6632,a),flip(a)]. 6634 (L(x,y,x) * z) * a(x,y,x) = x * z. [hyper(507,a,6632,a),flip(a)]. 6635 L(x,y,x) * (x \ z) = z / a(x,y,x). [hyper(495,a,6632,a),flip(a)]. 6637 K(x,x * y) * (z * a(x,y,x)) = K(x,y) * z. [hyper(3894,a,6623,a)]. 6638 K(x,y) \ (z * a(x,y,x)) = K(x * y,x) * z. [hyper(112,a,6623,a(flip),b,6255,a)]. 6640 a(x,y,x) * z = z * a(x,y,x). [hyper(58,a,6623,a(flip),b,6624,a),flip(a)]. 6641 T(x,a(y,z,y)) = x. [hyper(215,a,6623,a(flip),b,6624,a(flip))]. 6642 T(a(x,y,x),z) = a(x,y,x). [hyper(215,a,6624,a(flip),b,6623,a(flip))]. 6643 a(x,y,x) \ (z * a(x,y,x)) = z. [hyper(112,a,6623,a(flip),b,6624,a(flip))]. 6645 a(x,y,x) * (K(y,x) * z) = K(x * y,x) * z. [para(3880(a,1),6624(a,1,2)),flip(a)]. 6646 x / a(y,z,y) = a(y,z,y) \ x. [hyper(2830,a,6641,a),flip(a)]. 6647 (a(x,y,x) \ z) \ z = a(x,y,x). [hyper(2284,a,6641,a)]. 6648 (a(x,y,x) \ z) * a(x,y,x) = z. [hyper(128,a,6641,a)]. 6650 x / a(y,z,y) != u | a(y,z,y) \ x = u. [para(6641(a,1),581(a,1))]. 6651 a(x,y,x) * (z \ 1) = z \ a(x,y,x). [para(6641(a,1),2935(a,1,1)),flip(a)]. 6652 x * a(y,z,y) != u | a(y,z,y) * x = u. [para(6641(a,1),2808(a,1,1))]. 6653 (x * (y * a(z,u,z))) / (x * y) = L(a(z,u,z),y,x). [para(6642(a,1),2818(a,2,1))]. 6654 a(x,y,x) * (y * x) = T(x * y,x). [hyper(272,a,6622,a(flip),b,6640,a),flip(a)]. 6655 a(x,y,x) \ (x * z) = L(x,y,x) * z. [hyper(112,a,6634,a(flip),b,6640,a)]. 6656 a(x,y,x) \ (L(x,y,x) \ z) = x \ z. [hyper(112,a,6633,a(flip),b,6640,a)]. 6657 (x * y) \ ((x * a(z,u,z)) * y) = R(T(a(z,u,z),x * y),x,y). [para(6640(a,1),546(a,1,2,1))]. 6658 L(x,y,x) * (x \ z) = a(x,y,x) \ z. [hyper(58,a,6635,a,b,6646,a)]. 6659 a(x,y,x) \ x != z | L(x,y,x) = z. [para(6646(a,1),6618(a,1))]. 6660 (x * y) / L(a(z,u,z),a(z,u,z) \ y,x) = x * (a(z,u,z) \ y). [para(6647(a,1),420(a,1,2,1))]. 6661 (x \ 1) * a(y,z,y) = x \ a(y,z,y). [hyper(58,a,6640,a(flip),b,6651,a)]. 6662 K(x,x * y) * (K(y,x) * z) = a(x,y,x) \ z. [hyper(58,a,5173,a,b,6658,a)]. 6663 T(x \ a(y,x \ 1,y),y) = y \ T(y * (x \ 1),y). [para(6661(a,1),6628(a,1,1))]. 6665 (x / R(y,z,y)) * y = x / a(y,z,y). [hyper(58,a,6373,a(flip),b,6625,a)]. 6666 x * (y \ L(y,z,y)) = x / a(y,z,y). [para(4260(a,1),6625(a,1,2))]. 6667 (x * a(y,z,y)) / R(y,z,y) = x / y. [hyper(113,a,6,a(flip),b,6665,a),flip(a)]. 6668 x * (y \ L(y,z,y)) = a(y,z,y) \ x. [hyper(272,a,6646,a(flip),b,6666,a),flip(a)]. 6669 (x / y) * R(y,z,y) = x * a(y,z,y). [hyper(125,a,6667,a)]. 6670 (x * y) * a(y,z,y) = x * R(y,z,y). [para(6(a,1),6669(a,1,1)),flip(a)]. 6671 (x * R(y,z,y)) / (x * y) = a(y,z,y). [hyper(113,a,6670,a(flip),b,6640,a)]. 6672 a(x,y,x) * (z * x) != u | z * R(x,y,x) = u. [para(6671(a,1),227(a,1,1))]. 6673 ((x * y) * R(L(z,y,x),u,L(z,y,x))) / (x * (y * z)) = a(L(z,y,x),u,L(z,y,x)). [para(87(a,1),6671(a,1,2))]. 6674 K(x,x * y) * ((L(y,z,u) * x) * a(x,y,x)) = L(y,z,u) * T(x,y). [hyper(272,a,5449,a(flip),b,6637,a),flip(a)]. 6675 K(x,x * y) * ((R(y,z,u) * x) * a(x,y,x)) = R(y,z,u) * T(x,y). [hyper(272,a,3758,a(flip),b,6637,a),flip(a)]. 6677 K(x,y) * (z * a(y,x,y)) = K(y * x,y) * z. [hyper(3896,a,6638,a)]. 6678 K(x,y) * (K(y,y * x) * z) = a(y,x,y) \ z. [hyper(112,a,3880,a(flip),b,6645,a),flip(a)]. 6679 K(x,y) * (a(y,x,y) * z) = K(y * x,y) * z. [para(6640(a,2),6677(a,1,2))]. 6680 K(x,y) * T(z \ (y * x),K(y,y * x)) = a(y,x,y) \ (z \ T(y * x,y)). [para(5701(a,1),6678(a,1,2))]. 6681 K(a(x,y,z),x * (y * z)) * (a(x * (y * z),a(x,y,z),x * (y * z)) * u) = K((x * y) * z,x * (y * z)) * u. [para(79(a,1),6679(a,2,1,1))]. 6682 (x * (y * R(z,u,z))) / (x * (y * z)) = L(a(z,u,z),y * z,x). [para(6670(a,1),6653(a,1,1,2))]. 6683 T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = (y \ T(y * (x \ 1),y)) * R(T(x \ a(y,x \ 1,y),y) \ 1,z,u). [para(6663(a,1),1569(a,1,1)),flip(a)]. 6685 R(x,y,z) * a(u,R(x,y,z),u) = R(x * a(u,x,u),y,z). [para(6613(a,1),6627(a,1,1)),flip(a)]. 6686 R(x * a(y,x,y),z,u) != R(x,z,u) * w | a(y,R(x,z,u),y) = w. [para(6685(a,1),38(a,1))]. 6687 L(x,y,z) * K(u,x / L(x,y,z)) = T(L(x,y,z) \ x,u) \ x. [hyper(58,a,5306,a(flip),b,3942,a)]. 6688 L(x,y,y) * (z * L(x,y,y)) = (x * x) * T(z,x \ 1). [para(5990(a,1),4783(a,2,2))]. 6689 L(x,y,y) * (z * L(x,y,y)) = x * (z * x). [hyper(272,a,3092,a(flip),b,6688,a),flip(a)]. 6691 L(x,y,y) * T(L(x,y,y),z) = x * (K(L(x,y,y),z) * x). [para(2741(a,2),6689(a,1,2))]. 6692 L(x,y,y) * L(T(x,z),y,y) = x * (K(L(x,y,y),z) * x). [para(20(a,2),6691(a,1,2))]. 6693 x * (K(L(x,y,y),z) * x) = L(x * T(x,z),y,y). [hyper(58,a,5939,a(flip),b,6692,a),flip(a)]. 6694 L(x * T(x,y),z,z) = x * (K(x,y) * x). [para(6094(a,1),6693(a,1,2,1)),flip(a)]. 6695 L(x * T(x,y),z,z) = x * T(x,y). [para(2741(a,2),6694(a,2,2))]. 6697 (1 / x) * T(1 / x,y) = x \ T(1 / x,y). [hyper(58,a,1996,a(flip),b,6695,a),flip(a)]. 6698 (1 / x) \ (y * T(y,z)) = x * (y * T(y,z)). [hyper(114,a,6695,a(flip),b,1998,a),flip(a)]. 6699 ((x * T(x,y)) \ z) \ 1 = (z \ 1) * (x * T(x,y)). [para(6695(a,1),4153(a,1,1,1))]. 6700 (x \ 1) \ (1 / (y * T(y,z))) = 1 / ((y * T(y,z)) / x). [para(6695(a,1),4170(a,1,2,2))]. 6701 x \ (T(1 / x,y) * (z * x)) = ((x \ T(1 / x,y)) * z) * x. [para(6697(a,1),664(a,1,1,1)),flip(a)]. 6702 T(x \ T(1 / x,y),x \ 1) = T(1 / x,y) / x. [para(6697(a,1),1979(a,1,1))]. 6703 x \ (y * T(y,z)) != u * (y * T(y,z)) | 1 / u = x. [para(6698(a,1),43(a,1)),flip(a)]. 6704 (x * (y * T(y,x))) * x = x * ((y * x) * y). [para(6698(a,1),4696(a,1,1))]. 6705 x * (x * (y * T(y,x))) = ((y * x) * y) * x. [para(6698(a,1),4698(a,1,2))]. 6706 (x * y) * T(y * x,x) = x * ((y * x) * y). [hyper(1172,a,6704,a)]. 6707 (x * (y * x)) * y = y * ((x * y) * x). [para(5011(a,1),6704(a,1,1))]. 6708 T(x * ((1 / y) * x),y \ 1) = (x * (1 / y)) * x. [hyper(1984,a,6707,a(flip))]. 6709 x * (((1 / y) * x) * (1 / y)) = (y \ (x / y)) * x. [para(3830(a,1),6707(a,1,1)),flip(a)]. 6710 ((x * y) * x) * y = y * (x * (y * x)). [para(5011(a,1),6705(a,1,2)),flip(a)]. 6711 (x * y) * ((1 / x) \ y) = x * ((y * x) * y). [hyper(58,a,2917,a(flip),b,6706,a)]. 6712 (x \ (T(x,y) \ 1)) \ 1 = x * T(x,y). [hyper(29,a,4110,a,b,6699,a(flip))]. 6713 1 / (x * T(x,y)) = x \ (T(x,y) \ 1). [hyper(178,a,6712,a)]. 6714 T(x \ (T(x,y) \ 1),y) = y / (x * (y * x)). [para(6713(a,1),5017(a,1,1))]. 6715 x / (y * (x * y)) = ((y * x) * y) \ x. [hyper(58,a,4731,a(flip),b,6714,a),flip(a)]. 6716 x \ T(T(1 / x,y),x) = T(1 / x,y) / x. [hyper(58,a,2936,a(flip),b,6702,a)]. 6717 T(1 / x,y) / x = x \ T(x \ 1,y). [para(222(a,1),6716(a,1,2)),flip(a)]. 6718 (x \ 1) * T(1 / x,y) = x \ T(x \ 1,y). [hyper(58,a,5831,a,b,6717,a)]. 6719 (x * T(x,y \ 1)) / y = (x * (1 / y)) * x. [hyper(58,a,5069,a(flip),b,6708,a)]. 6720 T(x * (y * ((1 / x) * y)),x) = x * ((y * (1 / x)) * y). [hyper(114,a,6708,a(flip),b,2937,a),flip(a)]. 6721 (x \ (y / x)) * y = y * ((x \ y) / x). [para(757(a,1),6709(a,1,2)),flip(a)]. 6722 T(x \ (y / x),y) = (x \ y) / x. [hyper(215,a,6721,a,b,xx)]. 6723 x * ((x \ 1) * ((y \ (x \ 1)) / y)) = T(y \ ((x \ 1) / y),x). [hyper(114,a,6721,a(flip),b,2789,a)]. 6725 ((1 / x) * ((y \ (1 / x)) / y)) / x = x \ (x \ (y \ ((1 / x) / y))). [para(6721(a,1),3534(a,1,1))]. 6726 (1 / x) * ((y \ ((1 / x) / y)) / (1 / x)) = x * ((1 / x) * ((y \ (1 / x)) / y)). [para(6721(a,1),3575(a,2,2))]. 6727 ((x \ y) / x) * y = y * (x \ (y / x)). [para(6722(a,1),2778(a,1,1))]. 6728 x \ (1 / (y * T(y,z))) != 1 / ((y * T(y,z)) / u) | u \ 1 = x. [para(6700(a,1),43(a,1)),flip(a)]. 6729 T(x * (y * ((1 / x) * y)),x) = ((y / (x \ 1)) / (1 / y)) * (1 / x). [hyper(272,a,6439,a,b,6720,a),flip(a)]. 6730 x * ((x \ 1) * ((x * y) \ (1 / y))) = T(y \ ((x \ 1) / y),x). [para(4858(a,1),6723(a,1,2,2))]. 6731 (x * y) * T(x * y,1 / x) = x * (L(x * y,x,x) * y). [hyper(58,a,5952,a(flip),b,5023,a),flip(a)]. 6732 (x * y) * T(x * y,1 / x) = x * (((x \ 1) \ y) * y). [para(2002(a,1),6731(a,2,2,1))]. 6733 R(K(x,T(T(y,z),z * u)),z,u) = (z * u) \ ((z * K(x,y)) * u). [para(5238(a,2),5318(a,1,1))]. 6734 K(R(x,y,z),u * K(x,w)) = K(R(x,y,z),u). [hyper(272,a,4327,a(flip),b,5402,a),flip(a)]. 6735 K(R(x,y,z),u * K(w,x)) = K(R(x,y,z),u). [para(28(a,1),6734(a,1,2,2))]. 6736 K(R(x \ y,z,u),w \ (y / x)) = K(R(x \ y,z,u),w \ (x \ y)). [para(5704(a,1),6735(a,1,2))]. 6737 K(L(x,y,z),T(u,x \ w)) = K(L(x,y,z),T(u,w)). [hyper(3086,a,5424,a),flip(a)]. 6738 K(L((x \ y) \ y,z,u),w) = K(L(x,z,u),T(w,y)). [hyper(58,a,5269,a,b,6737,a)]. 6739 K(T(x,y \ z),L(y,u,w)) = 1 / K(L(y,u,w),T(x,z)). [para(6737(a,1),2880(a,1,2)),flip(a)]. 6740 T(x,L((y \ z) \ z,u,w)) = (v5 * K(L(y,u,w),T(x,z))) \ (v5 * x). [para(6738(a,1),3980(a,1,1,2)),flip(a)]. 6741 K(T(x,y \ z),L(y,u,w)) = K(T(x,z),L(y,u,w)). [hyper(272,a,2880,a(flip),b,6739,a),flip(a)]. 6742 K(T(x,y \ z),L(y,u,w)) = K(x,L(T(y,z),u,w)). [hyper(272,a,5265,a(flip),b,6741,a),flip(a)]. 6743 K(x,L(T(y,y \ z),u,w)) = K(x,L(T(y,z),u,w)). [hyper(5455,a,6742,a)]. 6744 K(x,L(T(y,y * z),u,w)) = K(x,L(T(y,z),u,w)). [para(4(a,1),6743(a,1,2,1,2)),flip(a)]. 6745 K(x,L(L(y,z,y * K(z,y)),u,w)) = K(x,L(T(y * K(z,y),z),u,w)). [para(2763(a,1),6744(a,1,2,1))]. 6746 K(x,y) * K(y * L(x,z,u),x) = L(x,y,L(x,z,u)) \ x. [para(6087(a,1),5840(a,1,2))]. 6747 ((x * x) \ (L(y,z,z) \ 1)) \ 1 = z * (((x * (x * y)) \ z) \ 1). [para(4412(a,1),6136(a,1,1))]. 6748 L(T(K(x,T(y,z * u)),u),u,z) = (z * (K(x,y) * u)) / (z * u). [para(5250(a,1),6211(a,1,1))]. 6749 (x * ((x / (1 / y)) / y)) / (1 / y) = (1 / y) * (y * (((y \ 1) \ x) * x)). [hyper(272,a,3118,a,b,6213,a),flip(a)]. 6750 K((T(x,y) * z) \ (y \ ((x * y) * z)),y) = 1. [hyper(272,a,1193,a(flip),b,6314,a),flip(a)]. 6752 K((x * y) \ (z \ ((x * z) * y)),z) = 1. [hyper(58,a,5814,a(flip),b,6750,a)]. 6753 x * T(y,y \ (x * x)) = (y \ x) \ (x * x). [hyper(6416,a,6418,a)]. 6754 L(x,y,y) * (z * ((y \ 1) \ 1)) = L(x * (z / (y \ 1)),y,y). [hyper(30,a,3123,a,b,6555,a),flip(a)]. 6755 (x \ 1) \ (x \ (y * (z / (x \ 1)))) = L(y,x,x) * (z * ((x \ 1) \ 1)). [hyper(272,a,2013,a,b,6754,a)]. 6756 (x * y) \ ((x * a(z,u,z)) * y) = R(a(z,u,z),x,y). [para(6642(a,1),6657(a,2,1))]. 6757 (x * y) \ ((T(z * x,z) / z) * y) = R(a(z,x,z),x,y). [para(6613(a,2),6756(a,1,2,1))]. 6759 L(x,y,z) * K(u,L(x,y,z) \ x) = T(L(x,y,z) \ x,u) \ x. [para(2497(a,1),6687(a,1,2,2))]. 6760 x * (((y * (y * z)) \ x) \ 1) != u | (L(z,x,x) \ 1) \ (y * y) = u. [para(6747(a,1),3435(a,1))]. 6761 L(x,y,z) * K(u,L(x,y,z) \ x) = T(a(x \ 1,z,y) \ 1,u) \ x. [para(2533(a,1),6759(a,2,1,1))]. 6762 (1 / x) \ ((T(y,x) * (1 / x)) * z) = (y * (z / (1 / x))) * (1 / x). [para(4279(a,1),2990(a,1,2,1))]. 6763 T(x,x \ 1) * ((x \ 1) \ y) != z | (y * x) * x = z. [para(3021(a,1),3780(a,1))]. 6764 (K(x,y) * R(T(x,z),u,w)) * v5 = R(T(x,z),u,w) * (K(x,y) * v5). [hyper(58,a,1907,a(flip),b,3088,a)]. 6765 ((x \ y) \ 1) * ((y * (y / x)) \ 1) = (y * (y / x)) \ (x / y). [para(3491(a,1),3324(a,1,1))]. 6766 T(x / y,y * (y / x)) = (x \ y) \ 1. [hyper(30,a,676,a,b,6765,a)]. 6767 x * ((y \ (y \ 1)) * (y \ (y \ 1))) = (y \ (y \ x)) * (y \ (y \ 1)). [para(3009(a,1),3433(a,2,1))]. 6768 L(L(x,y,z),z * y,K(y,z)) = (y * z) \ (z * (T(y,z) * x)). [para(2750(a,1),3760(a,1,2,2)),flip(a)]. 6769 L(L(x,y,z),z * y,K(y,z)) != u | L(x,T(y,z),z) = u. [para(6768(a,2),732(a,1))]. 6770 T(x,y) * ((z * z) * T(x,y)) = (x * (z * z)) * x. [para(5870(a,1),3813(a,1,1)),flip(a)]. 6771 T(x,y) * ((z * z) * T(x,y)) = x * ((z * z) * x). [hyper(272,a,3437,a(flip),b,6770,a),flip(a)]. 6773 T(x,y) * ((y * x) * y) = x * ((y * y) * x). [para(1159(a,1),6771(a,1,2))]. 6774 (x * y) * ((y * y) * (x * y)) = y * ((x * (y * (x * y))) * y). [hyper(58,a,2815,a(flip),b,6773,a),flip(a)]. 6775 K(x,y) * ((T(x,y) * T(x,y)) * z) = x * ((1 / T(x,y)) \ z). [hyper(272,a,2917,a(flip),b,3966,a),flip(a)]. 6776 K(x,y) * ((x * x) * z) = x * ((1 / T(x,y)) \ z). [para(3155(a,1),6775(a,1,2,1))]. 6777 K(x,y) * ((x * x) * z) = (x * T(x,y)) * z. [hyper(272,a,6196,a(flip),b,6776,a),flip(a)]. 6779 K(x,y) * ((z * x) * x) = (x * T(x,y)) * z. [hyper(58,a,3280,a,b,6777,a)]. 6780 (x * x) * (K(x,y) * z) = (x * T(x,y)) * z. [hyper(58,a,5846,a(flip),b,6779,a)]. 6781 (x \ (T(1 / x,y) * (z * x))) / x = ((1 / x) * (1 / x)) * (K(1 / x,y) * z). [hyper(272,a,749,a,b,6780,a)]. 6782 (x * (x * (K(x,y) * z))) \ ((x * T(x,y)) * z) = a(x,x,K(x,y) * z). [hyper(112,a,6780,a(flip),b,79,a)]. 6783 (x * T(x,y)) * (x * z) = (x * x) * (T(x,y) * z). [para(2750(a,1),6780(a,1,2)),flip(a)]. 6784 ((1 / x) * (1 / y)) * (z * (y / (x \ 1))) = T(z,(1 / x) / y). [hyper(272,a,6044,a(flip),b,4135,a),flip(a)]. 6785 ((1 / x) * (1 / y)) * (z * (y / (x \ 1))) = T(z,x \ (y \ 1)). [hyper(272,a,4898,a(flip),b,6784,a),flip(a)]. 6786 L(R(x,y \ 1,z),y,y) = (((y * (1 / x)) \ 1) * z) / ((y \ 1) * z). [hyper(58,a,24,a(flip),b,4277,a)]. 6787 (x \ (y / x)) * K(z,x \ y) = (x \ y) * (x \ K(z,x \ y)). [hyper(5618,a,4320,a),flip(a)]. 6789 (x * (y * x)) \ (x * T(x * y,x)) = K(x * x,T(y,x \ 1)). [para(2771(a,1),4342(a,1,2,2))]. 6790 (x * (y * x)) \ ((x * y) * x) = K(x * x,T(y,x \ 1)). [para(98(a,1),6789(a,1,2))]. 6791 K(x * x,T(y,x \ 1)) != z | a(x,y,x) = z. [para(6790(a,1),588(a,1))]. 6792 a(x,y,x) = a(x,x,y). [hyper(6791,a,5663,a)]. 6793 a(x,y,y) = a(y,x,y). [hyper(272,a,4244,a,b,6792,a)]. 6795 (x \ a(x,y,x)) * y = x \ y. [para(6792(a,2),5671(a,1,1,2))]. 6796 (x \ y) * a(z,x,x) = L(x,z,x) \ y. [para(6793(a,2),6633(a,1,2))]. 6797 ((1 / ((1 / x) \ y)) \ a(1 / ((1 / x) \ y),x,1 / ((1 / x) \ y))) * x = x / ((y * x) \ 1). [hyper(272,a,3508,a(flip),b,6795,a),flip(a)]. 6798 a(x,y,y) * (y \ z) = L(y,x,y) \ z. [hyper(5604,a,6796,a)]. 6799 (x * (y \ (y \ 1))) * (y \ (y \ 1)) = (((y * y) * y) * y) \ x. [para(4385(a,1),4395(a,2,1))]. 6800 (x * (y \ (y \ 1))) * (y \ (y \ 1)) = (y * (y * (y * y))) \ x. [para(3279(a,1),6799(a,2,1))]. 6801 (x \ (x \ y)) * (x \ (x \ 1)) = (x * (x * (x * x))) \ y. [para(4382(a,1),6800(a,1,1))]. 6802 (x * (x * (x * x))) \ y = x \ (x \ (x \ (x \ y))). [hyper(4393,a,6801,a),flip(a)]. 6803 (x * ((y * x) * x)) * ((x * (x * x)) \ 1) = T(y,x \ (x \ (1 / x))). [hyper(272,a,6101,a(flip),b,4511,a),flip(a)]. 6804 ((x * (y * (1 / x))) \ (x \ 1)) * (x \ 1) = (y / (1 / x)) \ (1 / x). [hyper(58,a,5202,a(flip),b,4533,a)]. 6805 T(x / L(T(x,y),z,u),K(x,y)) = x * (L(T(x,y),z,u) \ 1). [para(371(a,1),4552(a,1,1))]. 6806 x / T(L(T(x,y),z,u),K(x,y)) = x * (L(T(x,y),z,u) \ 1). [hyper(58,a,5849,a,b,6805,a)]. 6807 x / L(T(T(x,y),K(x,y)),z,u) = x * (L(T(x,y),z,u) \ 1). [para(20(a,2),6806(a,1,2))]. 6808 x * (L(T(x,y),z,u) \ 1) = x / L(T(x,y),z,u). [para(1896(a,1),6807(a,1,2,1)),flip(a)]. 6809 x / L(T(x,y),z,u) = L(T(x,y),z,u) \ x. [hyper(711,a,6808,a),flip(a)]. 6811 (x * y) * T(x * y,x * x) = (x * x) * (x * ((y / x) * y)). [para(6528(a,1),4689(a,1,2)),flip(a)]. 6812 (x * y) * T(x * y,x * x) = x * (y / (1 / (x * y))). [hyper(272,a,6564,a(flip),b,6811,a),flip(a)]. 6813 (x * x) * (x * (y / (1 / (x * y)))) = (x * y) * ((x * x) * (x * y)). [hyper(114,a,6812,a(flip),b,5012,a)]. 6814 (((x * y) \ x) * (x \ (y \ x))) * x = (y \ x) * ((x * y) \ x). [para(3241(a,1),4699(a,1,1,2))]. 6815 (T(x,y) \ (y \ (y / x))) * y = (x \ y) * ((y * x) \ y). [para(6517(a,1),6814(a,1,1))]. 6816 (T(x,y) \ (y \ (y / x))) * y = (x \ y) / x. [hyper(272,a,3783,a(flip),b,6815,a),flip(a)]. 6817 x * (x * (y * ((1 / (x * x)) \ y))) = (x * (x * y)) * (y * (x * x)). [para(2956(a,1),4706(a,2,1))]. 6818 (x * (y * y)) * (x * (y * y)) = y * (y * (x * ((x * y) * y))). [para(4394(a,1),4706(a,1,2,2,2)),flip(a)]. 6819 ((x * x) * y) * ((x * x) * y) = x * (x * (y * ((y * x) * x))). [hyper(5768,a,6818,a)]. 6820 ((x * x) * y) * ((y * x) * x) = x * (x * (y * ((y * x) * x))). [hyper(58,a,3280,a,b,6819,a)]. 6821 (x * (y * ((x \ z) / y))) / z = K(y,((x * y) / z) \ 1). [para(5(a,1),4795(a,1,1,2,2,1))]. 6822 (x * (y * ((x \ z) / y))) / z = K(y,z / (x * y)). [hyper(272,a,4452,a(flip),b,6821,a),flip(a)]. 6823 R(K(x,(y / z) / (u * x)),y / z,z) = ((u * (x * ((u \ (y / z)) / x))) * z) / y. [para(6822(a,1),463(a,1,1))]. 6824 (x \ 1) * ((x * ((1 / x) * y)) \ 1) = (x * (y * (1 / x))) \ (x \ 1). [para(4111(a,1),4809(a,1,2,1))]. 6825 (x \ 1) * ((y * K(x,x \ 1)) \ 1) = (x * (y / x)) \ (x \ 1). [para(3702(a,1),4810(a,1,2,1))]. 6826 (x \ 1) * (K(x,x \ 1) * (y \ 1)) = (x * (y / x)) \ (x \ 1). [para(5639(a,1),6825(a,1,2))]. 6827 (x * (y / x)) \ (x \ 1) = (1 / x) * (y \ 1). [hyper(58,a,3157,a(flip),b,6826,a),flip(a)]. 6828 (1 / x) * ((y * (1 / x)) * (1 / x)) = ((x \ (x \ 1)) / x) * y. [para(4542(a,1),5008(a,2,1))]. 6829 T((x * (1 / y)) * (1 / y),y) = (((y \ (y \ 1)) / y) * x) * y. [para(6828(a,1),365(a,2,1))]. 6830 T((x * (1 / y)) * (1 / y),y) = ((y \ (y \ (y \ 1))) * x) * y. [para(3532(a,1),6829(a,2,1,1))]. 6831 ((x \ (x \ (x \ 1))) * y) * x = (x \ 1) * (y * (1 / x)). [hyper(3414,a,6830,a),flip(a)]. 6832 (x \ (x \ (x \ 1))) * y = x \ (x \ (x \ y)). [hyper(30,a,4831,a,b,6831,a),flip(a)]. 6833 (T(x,y) \ 1) * T(T(x,y) \ 1,y) = y \ (x \ (y / x)). [para(4581(a,1),5022(a,2,2))]. 6834 T(x,y) \ (y \ (y / x)) = y \ (x \ (y / x)). [hyper(58,a,3230,a(flip),b,6833,a)]. 6835 (x \ (y \ (x / y))) * x = (y \ x) / y. [para(6834(a,1),6816(a,1,1))]. 6836 x * ((y \ (x / y)) / x) = (y \ x) / y. [hyper(2947,a,6835,a)]. 6837 (x / y) * T(x / y,y * (y / x)) = (y * (y / x)) \ x. [para(7(a,1),5024(a,2,2))]. 6838 (x / y) * ((x \ y) \ 1) = (y * (y / x)) \ x. [para(6766(a,1),6837(a,1,2))]. 6839 (x * (x / y)) \ y = (x / y) \ (x \ y). [hyper(58,a,5850,a(flip),b,6838,a),flip(a)]. 6840 (x / (y \ x)) \ (x \ (y \ x)) = (x * y) \ (y \ x). [para(72(a,1),6839(a,1,1,2)),flip(a)]. 6841 (x * y) \ (y \ x) = y \ (x \ (y \ x)). [para(72(a,1),6840(a,1,1)),flip(a)]. 6843 (x * T(x,y)) * T(z,(x * (y * x)) \ y) = z / (x \ (T(x,y) \ 1)). [para(4048(a,1),5070(a,2,2))]. 6844 T(x * K(y,T(z,u)),K(u,K(y,z))) = K(y,K(z,u)) * (x * K(y,z)). [para(5238(a,2),5520(a,1,1,2))]. 6845 (x \ (T(a(x \ 1,y,z) \ 1,u) \ x)) * x = T(a(x \ 1,y,z) \ 1,u) \ x. [para(5749(a,1),5807(a,1,1,2))]. 6846 K((x * (y / z)) \ u,z) != w | K((x * (z \ y)) \ u,z) = w. [para(5845(a,1),3423(a,1))]. 6847 x * (((y \ 1) * (y \ 1)) * (y \ 1)) = (y * y) \ (x / y). [hyper(32,a,3284,a,b,5923,a(flip))]. 6848 x * ((y \ (1 / y)) * (y \ 1)) = (y * y) \ (x / y). [para(684(a,1),6847(a,1,2,1))]. 6849 x * (y \ ((1 / y) / y)) = (y * y) \ (x / y). [para(684(a,1),6848(a,1,2))]. 6850 x * (y \ (y \ (y \ 1))) = (y * y) \ (x / y). [para(3132(a,1),6849(a,1,2,2))]. 6851 T(x,T((y * y) * z,u)) != w | T(x,T(y * (y * z),u)) = w. [para(6172(a,1),5497(a,1))]. 6852 L(x,L(T(y,z),u,w),L(T(y,z),u,w)) = L(x,L(y,u,w),L(y,u,w)). [para(20(a,2),6187(a,1,3))]. 6853 L(x,R(T(y,z),u,w),R(T(y,z),u,w)) = L(x,R(y,u,w),R(y,u,w)). [para(22(a,2),6188(a,1,3))]. 6854 ((x \ y) \ 1) * T((x \ y) \ 1,z) = (y \ x) * T(y \ x,z). [para(4436(a,1),6232(a,1,2))]. 6855 (x \ y) \ T(1 / (x \ y),z) = (y \ x) * T(y \ x,z). [hyper(58,a,756,a(flip),b,6854,a)]. 6856 (x \ y) * T(x \ y,y \ x) = (y \ x) \ ((y \ x) \ 1). [para(100(a,1),6855(a,1,2)),flip(a)]. 6857 (x \ y) * T(x \ y,y) = (y \ x) \ (y / x). [para(3030(a,1),6855(a,1,2)),flip(a)]. 6858 (x \ y) * (y * (x \ y)) = y * ((y \ x) \ (y / x)). [hyper(114,a,6857,a(flip),b,5012,a),flip(a)]. 6860 (x \ y) * T(x \ y,y \ x) = x \ ((x / y) \ y). [hyper(111,a,4990,a(flip),b,6856,a),flip(a)]. 6861 (x \ y) * (T(y,y \ x) / x) = x \ ((x / y) \ y). [para(5714(a,2),6860(a,1,2))]. 6862 L(x,y,z) * (T(z * (y * x),(z * (y * x)) \ (z * y)) / (z * y)) = (z * y) \ (((z * y) / (z * (y * x))) \ (z * (y * x))). [para(13(a,2),6861(a,1,1))]. 6863 (x * K(y,z)) * (K(z,y) * R(K(y,u),w,v5)) = x * R(K(y,u),w,v5). [para(3912(a,1),6369(a,1,1)),flip(a)]. 6864 (x \ (x \ 1)) \ (((x \ (x \ 1)) * y) * z) = x * (((x \ y) * (z * x)) / x). [para(4373(a,2),6444(a,1,2,1))]. 6865 ((1 / x) \ (x \ ((x * y) * z))) * 1 = ((1 / x) \ y) * L(z,x,x). [hyper(272,a,2022,a(flip),b,6481,a),flip(a)]. 6866 (x * ((1 / x) * ((x * y) * z))) * 1 = ((1 / x) \ y) * L(z,x,x). [para(3122(a,1),6865(a,1,1))]. 6867 x * ((1 / x) * ((x * y) * z)) = ((1 / x) \ y) * L(z,x,x). [hyper(120,a,6866,a)]. 6868 (x * (y * (1 / z))) * z = (1 / z) * ((z * x) * y). [hyper(29,a,2022,a,b,6867,a)]. 6869 ((1 / x) * ((x * y) * z)) / L(z,x,x) = R(y,z * (1 / x),x). [para(6868(a,1),2021(a,1,1))]. 6870 (1 / x) * ((x * y) * L(z,x,x)) = (y * (z / x)) * x. [para(2972(a,1),6868(a,1,1,2)),flip(a)]. 6871 (x * (((y * x) \ 1) * (1 / x))) * x = (1 / x) * ((y * (x \ 1)) \ 1). [para(5036(a,1),6868(a,2,2))]. 6872 (x * K((y \ 1) \ (z \ x),z)) * y = (z \ (x * y)) * z. [hyper(2551,a,6534,a),flip(a)]. 6873 (x * K(y * (z \ x),z)) * y = (z \ (x * y)) * z. [para(5719(a,1),6872(a,1,1,2))]. 6874 (x * K((y \ z) \ x,z)) * y = (z \ (x * y)) * z. [para(6450(a,1),6872(a,1,1,2))]. 6875 (x \ (y * z)) * K(x * (y \ (x \ (y * z))),y) = x \ (z * y). [hyper(30,a,2550,a(flip),b,6873,a),flip(a)]. 6876 K(x,y \ (z * x)) = K(x,y \ (x * z)). [para(6875(a,1),5375(a,1,2))]. 6877 K(x,(x \ y) \ z) = K(x,y \ (z * x)). [hyper(272,a,6294,a,b,6876,a)]. 6878 K(x,y \ (((x \ y) * z) * x)) = K(x,z). [para(4(a,1),6877(a,1,2)),flip(a)]. 6879 K(x \ 1,x * (((x \ 1) * y) * z)) = K(x,y * (z * ((x \ 1) \ 1))). [hyper(58,a,3394,a(flip),b,6556,a),flip(a)]. 6880 (x \ y) * z != u * (w * ((y \ x) \ 1)) | (((y \ x) * u) * w) * (x \ y) = z. [para(6570(a,1),38(a,1)),flip(a)]. 6881 x * (((y / (x \ 1)) / (1 / y)) * (1 / x)) = (x * (y * ((1 / x) * y))) * x. [hyper(114,a,6729,a(flip),b,17,a(flip))]. 6882 K(R(x \ (x * y),z,u),R(y / w,w,K(x,y)) \ (x \ (x * y))) = K(R(x \ (x * y),z,u),w * K(x,y)). [para(2871(a,1),6736(a,1,2)),flip(a)]. 6883 T(x,L((y \ z) \ z,u,w)) = T(x,T(L(y,u,w),z)). [hyper(272,a,5279,a(flip),b,6740,a),flip(a)]. 6884 T(x,L((y \ z) \ z,u,w)) = T(x,L(T(y,z),u,w)). [para(20(a,2),6883(a,2,2))]. 6885 T(x,L(T(y,y \ z),u,w)) = T(x,L(T(y,z),u,w)). [para(99(a,2),6884(a,1,2,1))]. 6886 (x \ 1) \ ((T(y,x) * (x \ 1)) * z) = (y * (z / (1 / x))) * (1 / x). [hyper(58,a,2172,a(flip),b,6762,a)]. 6887 (K(x,y) \ (R(T(x,z),u,w) * (K(x,y) * v5))) / (K(x,y) \ (R(T(x,z),u,w) * v5)) = R(K(x,y),R(T(x,z),u,w),v5). [para(6764(a,1),1095(a,2,1,2)),flip(a)]. 6888 x * ((y \ (y \ 1)) * (y \ (y \ 1))) = y \ (y \ (y \ (y \ x))). [hyper(272,a,4382,a(flip),b,6767,a),flip(a)]. 6889 x * (y \ (y \ (y \ (y \ 1)))) = y \ (y \ (y \ (y \ x))). [para(4382(a,1),6888(a,1,2))]. 6890 (x * ((y * x) * x)) * ((x * (x * x)) \ 1) = T(y,x \ (x \ (x \ 1))). [hyper(272,a,4856,a(flip),b,6803,a),flip(a)]. 6891 x * (x * (y * ((1 / (x * x)) \ y))) = (x * (x * y)) * (x * (x * y)). [para(2956(a,1),6817(a,2,2))]. 6892 (x \ 1) * (x * ((1 / x) * (y \ 1))) = (x * (y * (1 / x))) \ (x \ 1). [para(6443(a,1),6824(a,1,2))]. 6893 (x * K(y,z)) * u != x * R(K(y,w),v5,v6) | K(z,y) * R(K(y,w),v5,v6) = u. [para(6863(a,1),38(a,1)),flip(a)]. 6894 (1 / x) * ((y * (x \ 1)) \ 1) = (x * (x \ (y \ (x \ 1)))) * x. [para(4936(a,1),6871(a,1,1,2)),flip(a)]. 6895 (1 / x) * ((y * (x \ 1)) \ 1) = (y \ (x \ 1)) * x. [hyper(272,a,136,a(flip),b,6894,a),flip(a)]. 6897 (1 / x) * ((y * (x \ 1)) \ 1) = (y \ x) * (1 / x). [hyper(272,a,4365,a(flip),b,6895,a),flip(a)]. 6898 K(x \ 1,x * (((x \ 1) * y) * z)) = K(x,y * (z * x)). [hyper(272,a,2432,a(flip),b,6879,a),flip(a)]. 6899 (x * (y / (1 / z))) * (1 / z) = (z \ 1) \ ((z \ x) * y). [para(676(a,1),6886(a,1,2,1)),flip(a)]. 6900 (x * ((y \ L(y,z,u)) / (1 / y))) * (1 / y) = (y \ 1) \ (y \ ((x * L(y,z,u)) / y)). [para(1150(a,2),6899(a,2,2))]. 6901 (x * ((y * x) * x)) * ((x * x) \ (x \ 1)) = T(y,x \ (x \ (x \ 1))). [para(4411(a,1),6890(a,1,2))]. 6902 (x * (x * y)) * (x * (x * y)) = x * (x * (y * ((y * x) * x))). [para(4394(a,1),6891(a,1,2,2,2)),flip(a)]. 6903 ((x * y) * x) * ((x * y) * x) = x * (x * (y * ((y * x) * x))). [hyper(5768,a,6902,a)]. 6905 L(x * (x * (y * ((y * x) * x))),x,x) = L(x * (x * y),x,x) * ((y * x) * x). [para(6902(a,1),6150(a,1,1))]. 6906 x * ((1 / x) * ((1 / x) * (y \ 1))) = (x * (y * (1 / x))) \ (x \ 1). [hyper(58,a,3556,a(flip),b,6892,a)]. 6907 (x * (y * (1 / x))) \ (x \ 1) = x * (y \ ((x \ 1) * (x \ 1))). [para(4144(a,1),6906(a,1,2)),flip(a)]. 6908 (x * (y * (1 / x))) \ (x \ 1) = x * (y \ (x \ (1 / x))). [para(684(a,1),6907(a,2,2,2))]. 6909 (x * (y \ (x \ (1 / x)))) * (x \ 1) = (y / (1 / x)) \ (1 / x). [para(6908(a,1),6804(a,1,1))]. 6910 T(x \ (y \ (1 / y)),y \ 1) = (x / (1 / y)) \ (1 / y). [hyper(58,a,378,a(flip),b,6909,a)]. 6911 (x / (1 / y)) \ (1 / y) = y \ ((y * x) \ 1). [hyper(58,a,5882,a(flip),b,6910,a),flip(a)]. 6912 L(x,y / z,y / z) * ((z \ y) * (z \ y)) = (x * (y / z)) * (y / z). [para(4746(a,1),4140(a,1,1))]. 6913 L(L(x * K(y,x),z,u),w,v5) * y = y * L(L(x,w,v5),z,u). [para(3650(a,1),4321(a,1,1,1))]. 6914 (x \ ((x / y) \ y)) * (y \ (x / y)) != z | (x \ (y \ x)) / (y \ x) = z. [para(4991(a,1),4582(a,1))]. 6915 L(x,y \ z,y \ z) * ((y \ z) * (y \ z)) = (x * (z / y)) * (z / y). [hyper(2958,a,4879,a)]. 6916 x * ((x \ y) * (K(z,u) / (1 / x))) = (y * (x * (x * K(z,u)))) / x. [para(2966(a,1),5680(a,1,2,2))]. 6917 x * ((x \ y) * ((x \ K(z,u)) \ 1)) = (y * (x * (x * K(z,u)))) / x. [para(5635(a,1),6916(a,1,2,2))]. 6918 T(L(x,y,y) \ 1,T(z,L(x,y,y))) = L(x,y,y) \ K(z,x \ 1). [hyper(272,a,5586,a(flip),b,6045,a),flip(a)]. 6919 T(L(x,y,y) \ 1,T(z,x)) = L(x,y,y) \ K(z,x \ 1). [para(5976(a,1),6918(a,1,2))]. 6920 L(T(x \ 1,T(y,x)),z,z) = L(x,z,z) \ K(y,x \ 1). [hyper(58,a,3803,a,b,6919,a)]. 6922 L(x,y,y) \ K(z,x \ 1) = L(T(x \ 1,z),y,y). [para(5369(a,1),6920(a,1,1)),flip(a)]. 6923 a(x,y * K(z,u),K(u,z)) = L(K(z,u),y,x) * K(u,z). [hyper(58,a,3935,a(flip),b,6380,a)]. 6924 a(x,y * K(z,u),K(u,z)) = K(u,z) * L(K(z,u),y,x). [hyper(272,a,1496,a(flip),b,6923,a),flip(a)]. 6925 K(x,y) * L(K(y,x),z * K(x,y),u) = a(u,z,K(x,y)). [para(3912(a,1),6924(a,1,2)),flip(a)]. 6926 K(x,y) * L(K(y,x),z,u) = a(u,z,K(x,y)). [para(6371(a,1),6925(a,1,2))]. 6927 K(x,y) * a(z,u,K(y,x)) = L(K(x,y),u,z). [hyper(3894,a,6926,a)]. 6928 L(K(x,y),z,u) * K(y,x) = a(u,z,K(y,x)). [hyper(1497,a,6926,a)]. 6929 K(x,y) * K(L(y,z,u),x) = a(u,z * y,K(x,y)). [para(6278(a,1),6926(a,1,2))]. 6931 (x * L(K(y,z),u,w)) * K(z,y) = x * a(w,u,K(z,y)). [para(6928(a,1),6379(a,2,2))]. 6932 (x / (x / y)) * K(L(y,z,u),y \ x) = y * a(u,z * y,K(y \ x,y)). [para(6929(a,1),3158(a,2,2))]. 6933 (1 * (((((x \ 1) \ 1) \ y) * z) / x)) / (1 / x) = ((x \ 1) * y) * L(z,x,x). [para(2(a,2),6493(a,1,1))]. 6934 K(x,x * y) * (L(y,z,u) * R(x,y,x)) = L(y,z,u) * T(x,y). [para(6670(a,1),6674(a,1,2))]. 6935 K(x,x * y) * (R(y,z,u) * R(x,y,x)) = R(y,z,u) * T(x,y). [para(6670(a,1),6675(a,1,2))]. 6936 K(x,L(L(y,z,y * K(z,y)),u,w)) = K(x,L(y,u,w)). [para(2685(a,1),6745(a,2,2,1))]. 6937 K(x,L(L(y,z,y),u,w)) = K(x,L(y,u,w)). [para(2720(a,1),6936(a,1,2,1))]. 6938 K(x,L(R(y,z,y),u,w)) = K(x,L(y,u,w)). [para(2382(a,1),6937(a,1,2,1)),flip(a)]. 6939 ((x \ y) * z) / (x \ 1) = x \ (y * (z / (x \ 1))). [hyper(2031,a,6755,a)]. 6940 x * (y \ (x * ((y \ z) / (y \ 1)))) = z * (((y \ x) * (y \ x)) * y). [para(6939(a,1),5074(a,1,2))]. 6941 x * (((y \ z) * (y \ z)) * y) = z * (y \ (z * T(x,y))). [para(678(a,2),6940(a,1,2,2,2)),flip(a)]. 6942 x * ((y * (y \ z)) * (y \ z)) = z * (y \ (z * T(x,y))). [hyper(58,a,3280,a,b,6941,a)]. 6943 x * (y \ (x * T(z,y))) = z * (x * (y \ x)). [para(5(a,1),6942(a,1,2,1)),flip(a)]. 6944 x \ (y * T(x \ y,x)) = (y \ x) \ (y / x). [hyper(29,a,6858,a(flip),b,6943,a),flip(a)]. 6946 T(x,y) * (z * (y \ z)) = z * (y \ (z * x)). [para(2765(a,1),6943(a,1,2,2,2)),flip(a)]. 6947 (x \ y) \ (x / y) = y \ (x * (x / y)). [para(2775(a,1),6944(a,1,2,2)),flip(a)]. 6948 (x / y) * T(x / y,x) = y \ (x * (x / y)). [hyper(4261,a,6947,a)]. 6949 (x \ y) * (y \ (x * (x / y))) = x / y. [hyper(127,a,6947,a)]. 6950 (x \ y) * T(x \ y,y) = x \ (y * (y / x)). [hyper(58,a,6857,a,b,6947,a)]. 6951 (T(x,y) \ 1) \ (y / (x \ y)) = (x \ y) \ (y * (y / (x \ y))). [hyper(58,a,3039,a,b,6947,a)]. 6952 T(x,y) * (T(y,K(z,u)) \ 1) = K(z,u) * (y \ (K(z,u) * x)). [para(3907(a,1),6946(a,1,2))]. 6953 ((x / y) \ 1) * T((x / y) \ 1,y) = x \ (y * (y / x)). [hyper(58,a,2912,a,b,6950,a)]. 6954 (x \ y) \ (y * (y / (x \ y))) = (T(x,y) \ 1) \ x. [para(72(a,1),6951(a,1,2)),flip(a)]. 6957 (x \ y) \ (y * (y / (x \ y))) = x * T(x,y). [hyper(272,a,3035,a(flip),b,6954,a),flip(a)]. 6959 (x \ y) \ (y * (y / (x \ y))) != z | x * T(x,y) = z. [para(6954(a,2),3617(a,1))]. 6960 (x \ y) \ (y * x) = x * T(x,y). [para(72(a,1),6957(a,1,2,2))]. 6962 (x \ y) * T(x \ y,x) = ((x \ y) \ x) \ y. [para(5(a,1),6960(a,1,2)),flip(a)]. 6963 ((x \ y) \ y) * T((x \ y) \ y,y) = (y / x) \ (y * ((x \ y) \ y)). [para(2826(a,1),6960(a,1,1)),flip(a)]. 6964 ((x \ 1) \ (y / x)) \ (x \ (x \ y)) = (x \ 1) * T(x \ 1,y / x). [para(2835(a,1),6960(a,1,2))]. 6965 (x \ y) * T(x \ y,x) = ((y \ x) * x) \ y. [hyper(272,a,3298,a(flip),b,6962,a),flip(a)]. 6966 ((x \ y) * y) \ x = (y \ x) * (x / y). [para(2775(a,1),6965(a,1,2)),flip(a)]. 6967 ((K(x,y) * T(z,x)) * (z * x)) \ T(x,y) = ((z * x) \ T(x,y)) * (T(x,y) / (z * x)). [para(3948(a,1),6966(a,1,1,1))]. 6968 ((T(x,y) \ (x * z)) * (x * z)) \ T(x,y) = ((T(x,y) * z) \ x) * (T(x,y) / (x * z)). [para(5654(a,2),6966(a,2,1))]. 6970 ((x \ y) \ y) * T((x \ y) \ y,y) = (y / x) \ ((x \ 1) \ y). [para(3462(a,1),6963(a,2,2))]. 6971 (x \ y) \ (y * (y / (x \ y))) = (y / x) \ ((x \ 1) \ y). [hyper(58,a,6950,a(flip),b,6970,a)]. 6972 (x / y) \ ((y \ 1) \ x) = y * T(y,x). [hyper(6959,a,6971,a),flip(a)]. 6974 (((x \ 1) \ y) / (y / x)) * (((x * T(x,y)) \ ((x \ 1) \ y)) * z) = ((y / x) \ ((x \ 1) \ y)) * ((y / x) * z). [para(6972(a,1),5176(a,1,2,1,1))]. 6975 (x * (y * (1 / x))) \ (x \ (x \ y)) = (x \ 1) * T(x \ 1,y / x). [para(3829(a,1),6964(a,1,1))]. 6976 (x * (y * (1 / x))) \ (x \ (x \ y)) = (x \ 1) * (T(x,y) \ 1). [para(3387(a,1),6975(a,2,2))]. 6977 (x * (y * (1 / x))) \ (x \ (x \ y)) = x \ (1 / T(x,y)). [hyper(272,a,4587,a(flip),b,6976,a),flip(a)]. 6978 T(L(x,y,z) \ x,u) \ x = T(a(x \ 1,z,y) \ 1,u) \ x. [hyper(58,a,6759,a(flip),b,6761,a)]. 6979 (x * (T(x,y) * z)) \ ((x * T(x,y)) * z) = a(x,x,K(x,y) * z). [para(2687(a,1),6782(a,1,1,2))]. 6980 a(x,x,K(x,y) * z) != u | a(x,T(x,y),z) = u. [para(6979(a,1),588(a,1))]. 6982 L(x,y / z,y / z) = L(x,z \ y,z \ y). [hyper(30,a,6912,a,b,6915,a)]. 6983 L(T(x,y / z),z \ y,z \ y) = T(x,(y / z) \ 1). [hyper(6130,a,6982,a),flip(a)]. 6984 L(x / y,y \ x,y \ x) = ((x / y) \ 1) \ 1. [hyper(2040,a,6982,a),flip(a)]. 6985 L(x * (y / z),z \ y,z \ y) = x / (1 / (y / z)). [hyper(58,a,2966,a(flip),b,6982,a),flip(a)]. 6986 x * L(x \ 1,y \ z,y \ z) = a(x,z / y,z / y). [hyper(114,a,6982,a(flip),b,1184,a(flip))]. 6987 L(x,T(1 / y,z),z / (z * y)) = L(x,(z * y) \ z,(z * y) \ z). [para(3031(a,2),6982(a,1,2))]. 6988 L(x,1 / y,1 / y) != z | L(x,y,y) = z. [para(6982(a,2),4235(a,1))]. 6989 ((x / y) * ((x / y) * z)) * K(u,L(z,y \ x,y \ x)) = (x / y) * ((x / y) * T(z,u)). [para(6982(a,1),6277(a,1,2,2))]. 6990 (x / y) * (((y \ x) * (y \ 1)) \ 1) = (L(y,y \ x,y \ x) \ 1) \ 1. [para(6982(a,1),4955(a,2,1,1))]. 6991 L(x,T(1 / y,z),z / (z * y)) != u | L(x,y,y) = u. [para(6189(a,2),6988(a,1))]. 6992 L(x / y,y \ x,y \ x) = (x \ 1) \ (y \ 1). [hyper(272,a,4191,a(flip),b,6984,a),flip(a)]. 6993 L(T(x,y / z),z \ y,z \ y) = T(x,z / y). [hyper(272,a,4478,a(flip),b,6983,a),flip(a)]. 6994 L(T(x,y / (1 / (y / z))),(1 / (y / z)) \ y,(1 / (y / z)) \ y) = T(x,1 / ((y * y) / z)). [para(5002(a,1),6993(a,2,2))]. 6995 x / (1 / (y / x)) = x * (1 / (x / y)). [hyper(5119,a,6985,a),flip(a)]. 6996 x \ (x * (1 / (x / T(y,x)))) = T(1 / (x / y),x \ 1). [para(6995(a,1),4604(a,1,2))]. 6997 a(x,y / z,y / z) = a(x,z \ y,z \ y). [hyper(1204,a,6986,a),flip(a)]. 6998 ((x / y) \ a(z,y \ x,y \ x)) * z = (x / y) \ z. [para(6997(a,1),5670(a,1,1,2))]. 6999 ((1 / x) \ a(y,x,x)) * y = (1 / x) \ y. [para(6083(a,1),6998(a,1,1,2))]. 7000 T(1 / (x / y),x \ 1) = 1 / (x / T(y,x)). [hyper(287,a,6996,a),flip(a)]. 7002 T(x \ 1,y) \ (1 / y) = 1 / (y / T(x,y)). [hyper(58,a,5926,a(flip),b,7000,a)]. 7003 T(x \ 1,y * T(y,z)) = T(x,y * T(y,z)) \ 1. [hyper(6728,a,7002,a),flip(a)]. 7004 T(T(x \ 1,y),z * T(z,u)) = T(T(x,z * T(z,u)) \ 1,y). [para(7003(a,1),18(a,1,1)),flip(a)]. 7005 L(x,(y * z) \ y,(y * z) \ y) != u | L(x,z,z) = u. [para(6987(a,1),6991(a,1))]. 7006 (x / y) * (((y \ x) * (y \ 1)) \ 1) = ((x * ((y \ x) \ 1)) \ 1) \ 1. [para(2017(a,1),6990(a,2,1,1))]. 7007 (x / y) * (((y \ x) * (y \ 1)) \ 1) = (1 / L(y,x,x)) \ 1. [para(4957(a,1),7006(a,2,1))]. 7008 (x / y) * (((y \ x) * (y \ 1)) \ 1) = L(y,x,x). [hyper(272,a,74,a(flip),b,7007,a),flip(a)]. 7010 (x / y) * ((y \ (x / y)) \ 1) = L(y,x,x). [para(684(a,1),7008(a,1,2,1))]. 7011 (x / (y * (y * z))) * (((y * (y * z)) \ (x / (y * (y * z)))) \ 1) = y * (y * L(z,x,x)). [hyper(272,a,6119,a(flip),b,7010,a),flip(a)]. 7012 x \ T(x * ((x \ 1) \ 1),y) = (x \ 1) * T(x / (x \ 1),y). [para(72(a,1),3135(a,1,2,1,1)),flip(a)]. 7014 (x \ 1) * T(x / (x \ 1),y) = x \ T((1 / x) \ x,y). [para(3007(a,1),7012(a,1,2,1)),flip(a)]. 7015 (x \ 1) * T((1 / x) \ x,y) = x \ T((1 / x) \ x,y). [para(2914(a,1),7014(a,1,2,1))]. 7016 T(T(x,y) * L(x \ z,u,w),x) = T(x,y) * L(x \ T(z,x),u,w). [hyper(4714,a,3202,a)]. 7017 T(T(x,y) * L(x \ y,z,u),x) = T(x * L(x \ y,z,u),y). [hyper(272,a,2264,a(flip),b,7016,a),flip(a)]. 7018 T(x * L(x \ (x * y),z,u),x * y) = T(T(x,x * y) * L(y,z,u),x). [para(4(a,1),7017(a,1,1,2,1)),flip(a)]. 7019 T(T(x,y) * R(x \ z,u,w),x) = T(x,y) * R(x \ T(z,x),u,w). [hyper(4714,a,3203,a)]. 7020 T(T(x,x * y) * R(x \ (x * y),z,u),x) = T(x * R(y,z,u),x * y). [hyper(272,a,2265,a(flip),b,7019,a),flip(a)]. 7021 L(L(x,y,z),z * y,K(z,u)) = (T(z,u) * y) \ (T(z,u) * (y * x)). [para(2750(a,1),3218(a,1,2)),flip(a)]. 7022 L(L(x,y,z),z * y,K(z,u)) = L(x,y,T(z,u)). [hyper(272,a,13,a,b,7021,a),flip(a)]. 7023 L(L(x,y,z),z * y,K(z,u)) != w | L(x,y,T(z,u)) = w. [para(7021(a,2),430(a,1))]. 7024 L(x,y,T(z,L(x,y,z))) = L(x,y,z). [hyper(58,a,5738,a(flip),b,7022,a),flip(a)]. 7025 L(x,y,T(z,z * y)) != u | L(x,y,z) = u. [para(7022(a,1),2699(a,1))]. 7026 L(x,y,T(z,x)) = L(x,y,z). [para(6289(a,1),7024(a,1,3))]. 7027 a(x,T(y,x \ 1),z) = x * L(x \ 1,z,y). [hyper(114,a,7026,a(flip),b,1184,a(flip)),flip(a)]. 7029 a(x,T(y,x \ 1),z) != u | a(x,y,z) = u. [para(7027(a,2),1204(a,1))]. 7030 T(1 / T(x,x \ y),y * (1 / x)) = (y * (1 / x)) \ (x \ (x \ y)). [para(3539(a,1),3568(a,1,1,2))]. 7031 T(1 / T(x,x \ y),y / x) = (y * (1 / x)) \ (x \ (x \ y)). [hyper(58,a,6044,a(flip),b,7030,a)]. 7032 T(1 / T(x,x \ y),y / x) = L(x \ 1,1 / x,y). [hyper(272,a,6206,a(flip),b,7031,a),flip(a)]. 7033 L(x \ 1,1 / x,y) != z | (y / x) \ ((x * x) \ y) = z. [para(7032(a,1),4668(a,1))]. 7034 (x / y) \ ((y * y) \ x) = L(y,y,x) \ 1. [hyper(7033,a,5089,a)]. 7035 R(R(x,y,z),y * z,K(z,u)) = ((x * y) * T(z,u)) / (y * T(z,u)). [para(3664(a,1),3682(a,1,2)),flip(a)]. 7037 R(R(x,y,z),y * z,K(z,u)) != w | R(x,y,T(z,u)) = w. [para(7035(a,2),457(a,1))]. 7038 ((x \ y) * (x \ y)) \ (x \ (y / x)) = (1 / x) / (y * (1 / x)). [para(6268(a,1),4056(a,1,1))]. 7039 (x \ ((x / y) \ y)) * (y \ (x / y)) = (1 / y) / (x * (1 / y)). [hyper(58,a,4991,a(flip),b,7038,a)]. 7040 (x \ ((x / y) \ y)) * (y \ (x / y)) = (1 / y) \ ((1 / y) / x). [hyper(272,a,3305,a(flip),b,7039,a),flip(a)]. 7041 (x \ ((x / y) \ y)) * (y \ (x / y)) = y \ (y / x). [hyper(272,a,4642,a(flip),b,7040,a),flip(a)]. 7042 (x \ (y \ x)) / (y \ x) = y \ (y / x). [hyper(6914,a,7041,a)]. 7043 ((x \ y) * y) \ (x \ y) = x \ (x / y). [hyper(3312,a,7042,a)]. 7044 T((x \ y) * y,x \ y) \ 1 = (x \ y) \ (x \ (x / y)). [hyper(112,a,7043,a(flip),b,3006,a),flip(a)]. 7045 (x \ y) \ (x \ (x / y)) = (y / ((x \ y) \ 1)) \ 1. [para(680(a,1),7044(a,1,1)),flip(a)]. 7046 (x \ y) \ (x \ (x / y)) = ((x / y) \ y) \ 1. [para(3486(a,1),7045(a,2,1))]. 7047 (((x \ 1) \ y) * (y * T(x,x \ 1))) / x = (x * (y / x)) * ((x \ 1) \ y). [para(1991(a,1),4089(a,1,1,2))]. 7048 (x \ 1) \ (((x \ 1) * y) * z) = (y * (z * x)) / x. [hyper(58,a,6591,a(flip),b,4159,a),flip(a)]. 7049 (x \ 1) * ((y * (z * x)) / x) = ((x \ 1) * y) * z. [hyper(114,a,6591,a(flip),b,4159,a(flip))]. 7050 L(x \ ((y * (z * u)) / u),x,u \ 1) = ((u \ 1) * x) \ (((u \ 1) * y) * z). [para(7048(a,1),254(a,1,1,2))]. 7051 L(x \ 1,y,y) \ (((x \ 1) * z) * u) = a(x \ 1,y,y) * ((z * (u * x)) / x). [para(7048(a,1),6141(a,1,2)),flip(a)]. 7052 ((x \ 1) * y) * (z / x) = (x \ 1) * ((y * z) / x). [para(7(a,1),7049(a,1,2,1,2)),flip(a)]. 7054 (x * (y * z)) * (z \ 1) = z * (((z \ 1) * x) * y). [para(7049(a,1),3743(a,1,2)),flip(a)]. 7056 (1 / x) \ ((x * (x * ((1 / x) * y))) / (1 / x)) = y * ((x * (1 * x)) * x). [para(2956(a,1),4336(a,1,2,1))]. 7057 K(x,x \ y) * L((x \ y) \ y,z,u) = x * a(T(1 / x,y),u,z). [para(3492(a,1),4579(a,2,2,1))]. 7058 K(x,x \ y) * L((x \ y) \ y,z,u) = x * a(T(x \ 1,y),u,z). [para(2519(a,1),7057(a,2,2))]. 7060 (x \ (x \ y)) * T(x \ (x \ y),y) = y * (x \ (x \ (x \ (x \ y)))). [para(4382(a,1),4691(a,2,2))]. 7061 (x \ (x \ y)) * ((x * x) \ y) = y * (x \ (x \ (x \ (x \ y)))). [para(3457(a,1),7060(a,1,2))]. 7062 ((x * x) \ y) * (x \ (x \ y)) = y * (x \ (x \ (x \ (x \ y)))). [hyper(58,a,6220,a,b,7061,a)]. 7063 ((x * y) \ ((x * y) \ (x * ((1 / y) \ x)))) \ 1 = T(y,(x * y) * (x * y)). [para(3009(a,1),4709(a,1,1))]. 7064 ((((1 / x) / y) \ 1) \ (x \ (y \ 1))) * 1 = (x \ (y \ 1)) * ((1 / x) / y). [para(4902(a,1),4903(a,1,1,1))]. 7065 (((1 / x) * y) * ((1 / x) * y)) / x = y * (((x \ 1) * (x \ (1 / x))) * y). [hyper(272,a,6408,a(flip),b,5007,a),flip(a)]. 7066 (x * x) * ((y * x) * L(y * x,x,x)) = (y * x) * (((x * x) * y) * x). [para(2952(a,1),5018(a,1,2,2))]. 7067 (x * x) * ((y * x) * (y / (1 / x))) = (y * x) * (((x * x) * y) * x). [para(2966(a,1),7066(a,1,2,2))]. 7068 (x * x) * ((y * x) * (y / (1 / x))) = (y * x) * ((x * x) * (y * x)). [para(3275(a,1),7067(a,2,2))]. 7069 T(x * ((y \ z) * (y \ z)),y \ z) = ((z \ y) \ x) * (1 / (z \ y)). [para(6223(a,1),5102(a,1,1,2))]. 7070 (x * (y * ((z \ (y \ (x \ u))) * z))) \ u = K(z,(x * (y * z)) \ u). [para(98(a,1),5175(a,1,1,2,2))]. 7071 ((x * y) * ((z \ ((x * y) \ u)) * z)) \ u = K(z,(x * (y * z)) \ u). [para(2546(a,2),7070(a,1,1))]. 7072 K(x,(y * (z * x)) \ u) = K(x,(y * z) \ (x \ u)). [hyper(6340,a,7071,a),flip(a)]. 7073 K(x,(y * (x \ z)) \ (x \ u)) = K(x,(y * z) \ u). [hyper(58,a,6346,a(flip),b,7072,a),flip(a)]. 7074 K(x,(y * (x * z)) \ u) = K(x,(y * z) \ (x \ u)). [hyper(58,a,6345,a(flip),b,7072,a)]. 7075 K(x,(y * (z / x)) \ (x \ u)) = K(x,(y * z) \ u). [para(7(a,1),7072(a,1,2,1,2)),flip(a)]. 7076 K(x,(y * (x \ z)) \ u) = K(x,(y * z) \ (u * x)). [hyper(58,a,5397,a(flip),b,7073,a)]. 7077 K(x,(y * (x \ 1)) \ (x \ z)) = K(x,y \ z). [para(3(a,1),7073(a,2,2,1))]. 7078 K(x,(y * (x \ 1)) \ z) = K(x,y \ (z * x)). [hyper(58,a,5397,a(flip),b,7077,a)]. 7079 L(K(x,(y * z) \ (x \ u)),w * x,v5) = K(L(x,w,v5),(y * (x * z)) \ u). [para(7074(a,1),6278(a,1,1))]. 7080 K(x,(y * (z / x)) \ u) = K(x,(y * z) \ (u * x)). [hyper(58,a,5397,a(flip),b,7075,a)]. 7081 K(x,(y * z) \ (u * x)) \ 1 = K((y * (z / x)) \ u,x). [para(7080(a,1),2878(a,1,1))]. 7082 K(x,K(y,(z * u) \ (y * y))) != w | K(x,K(z * (u / y),y)) = w. [para(7080(a,1),5560(a,1,2))]. 7083 K((x * (y / z)) \ u,z) = K((x * y) \ (u * z),z). [hyper(2885,a,7081,a),flip(a)]. 7084 K((x * (y \ z)) \ u,y) = K((x * z) \ (u * y),y). [hyper(6846,a,7083,a)]. 7085 K((x * (y * z)) \ (u * y),y) = K((x * z) \ u,y). [hyper(58,a,5813,a(flip),b,7083,a),flip(a)]. 7086 K((x * (y \ 1)) \ z,y) = K(x \ (z * y),y). [para(3(a,1),7084(a,2,1,1))]. 7087 (K((x * y) \ (z * u),u) * w) \ w = K(u,T((x * (u \ y)) \ z,w)). [para(7084(a,1),5234(a,1,1,1))]. 7088 L(K(x * (y \ z),x),y \ z,y) = K(y \ (z * x),x). [hyper(58,a,6352,a,b,7086,a)]. 7089 K((x * (y * z)) \ u,y) = K((x * z) \ (y \ u),y). [hyper(58,a,6325,a(flip),b,7085,a)]. 7090 K((x * y) \ (z \ ((x * z) * y)),z) = K(a(x,z,y),z). [para(9(a,2),7089(a,1,1)),flip(a)]. 7091 K(a(x,y,z),y) = 1. [hyper(58,a,6752,a(flip),b,7090,a),flip(a)]. 7093 (1 / a(x,y,z)) * y = y / a(x,y,z). [para(7091(a,1),2944(a,1,1,1))]. 7094 K(x,T((y * (x \ z)) \ u,w)) != v5 | K(x,T((y * z) \ (u * x),w)) = v5. [para(7087(a,1),5235(a,1))]. 7095 (x * T(y,L(z,y,x))) \ (x * (y * (z * K(y,z)))) = L(z,y,x). [para(2719(a,1),5177(a,1,1,2))]. 7096 (x * T(y,L(z,y,x))) \ (x * (T(y,z) * z)) = L(z,y,x). [para(2868(a,1),7095(a,1,2,2))]. 7097 K(x \ y,x) * L(T(x,x \ y),z,u) = y \ ((L(x,z,u) * (x \ y)) * x). [para(1104(a,1),5328(a,1,2)),flip(a)]. 7098 K(x,T((T(x,y) * y) \ z,T(y,x))) = K(x,z / (x * ((x * y) / x))). [para(2774(a,2),5461(a,1,2,2))]. 7099 K(x,T((T(x,y) * y) \ z,y)) = K(x,z / (x * ((x * y) / x))). [hyper(5356,a,7098,a)]. 7100 (x * x) * ((T(x,y) \ z) * T(x,u)) = ((T(x,y) \ 1) \ z) * T(x,u). [para(5221(a,1),5752(a,1,1)),flip(a)]. 7101 (x * x) * (T(x,y) * (z / T(x,u))) = ((T(x,y) \ 1) \ z) * T(x,u). [para(5925(a,1),7100(a,1,2))]. 7102 (1 / (L(T(x,y),z,u) \ x)) * K(x,y) = 1 / (L(T(x,y),z,u) \ T(x,y)). [para(6809(a,1),5771(a,1,1,2))]. 7103 K(x,T(y * (z * (u \ 1)),u \ 1)) = K(x,u \ (u \ ((u * y) * z))). [hyper(272,a,6081,a(flip),b,6074,a),flip(a)]. 7104 K(x,T(y * (z * (u \ 1)),u)) = K(x,u \ (u \ ((u * y) * z))). [hyper(58,a,5971,a(flip),b,7103,a)]. 7105 L(K(x,y),z,u) * (K(y,w) * v5) = K(y,w) * (L(K(x,y),z,u) * v5). [para(6283(a,1),6312(a,1,1))]. 7106 K(L(x,y,z),(u * (w * x)) \ v5) = K(L(x,y,z),(u * (x * w)) \ v5). [hyper(6535,a,6347,a),flip(a)]. 7107 x * ((((x * y) \ 1) * ((x * y) \ 1)) / x) = (x \ 1) * (((x * y) \ 1) / y). [para(4115(a,1),6429(a,1,2,1))]. 7108 (x * y) \ (y * T(T(z * x,z) / z,y)) = L(a(z,T(x,y),z),T(x,y),y). [para(1593(a,1),6629(a,1,2,2))]. 7109 ((1 / x) \ y) * (y / (1 / x)) = x * (((x \ 1) \ y) * y). [hyper(1175,a,6749,a)]. 7110 ((1 / x) \ y) * (y / (1 / x)) = (x * y) * T(x * y,1 / x). [hyper(272,a,6732,a,b,7109,a),flip(a)]. 7111 (x * (x / (1 / y))) / (1 / y) = (y * x) * T(y * x,1 / y). [hyper(58,a,4730,a,b,7110,a)]. 7112 (1 / x) * (x * ((y * (y / (1 / x))) * x)) = (x * y) * T(x * y,1 / x). [hyper(3748,a,7111,a)]. 7113 x * (((y / (x \ 1)) / (1 / y)) * (1 / x)) = (x * y) * (x * (y / x)). [hyper(272,a,3656,a(flip),b,6881,a),flip(a)]. 7114 x * ((y * ((1 / x) \ y)) * (1 / x)) = (x * y) * (x * (y / x)). [para(4843(a,1),7113(a,1,2,1))]. 7115 x * ((1 / x) * ((y / (1 / x)) * y)) = (x * y) * (x * (y / x)). [para(4557(a,1),7114(a,1,2))]. 7116 x / T(x / y,T(L(y,z,u),y)) = y * a(u,z * y,K(y \ x,y)). [hyper(58,a,5322,a(flip),b,6932,a)]. 7117 x / T(x / y,L(y,z,u)) = y * a(u,z * y,K(y \ x,y)). [para(159(a,1),7116(a,1,2,2))]. 7118 T(T(x,x * y) * L(y,z,u),x) = T(x * L(y,z,u),x * y). [para(4(a,1),7018(a,1,1,2,1)),flip(a)]. 7119 T(T(x,x * y) * R(y,z,u),x) = T(x * R(y,z,u),x * y). [para(4(a,1),7020(a,1,1,2,1))]. 7120 (x * (y / x)) * ((x \ 1) \ y) = (x * ((y * y) * x)) / x. [para(4812(a,1),7047(a,1,1)),flip(a)]. 7121 (x * (y / x)) * ((x \ 1) \ y) = T((y * y) * x,x). [hyper(272,a,2774,a,b,7120,a),flip(a)]. 7122 (x * (y / x)) * ((x \ 1) \ y) = x * (y * y). [hyper(272,a,3378,a(flip),b,7121,a),flip(a)]. 7123 ((x \ (x / y)) / x) * ((x \ 1) \ ((x \ 1) / y)) = x * (((x \ 1) / y) * ((x \ 1) / y)). [para(4932(a,1),7122(a,1,1))]. 7124 (1 / x) \ (((x \ 1) \ y) / (1 / x)) = y * ((x * (1 * x)) * x). [para(3497(a,1),7056(a,1,2,1))]. 7125 x * (((x \ 1) \ y) * x) = y * ((x * (1 * x)) * x). [hyper(3745,a,7124,a)]. 7126 x * ((y * (1 * y)) * y) = (y * (y * x)) * y. [hyper(3746,a,7125,a),flip(a)]. 7127 (x * (x * y)) * x = y * ((x * x) * x). [para(2(a,1),7126(a,1,2,1,2)),flip(a)]. 7128 x * (((1 / y) * (1 / y)) * (1 / y)) = (x * (y \ (1 / y))) * (1 / y). [para(5005(a,1),7127(a,1,1)),flip(a)]. 7129 x * (((1 / y) * (1 / y)) * (1 / y)) = y \ ((y \ x) / y). [hyper(272,a,5214,a(flip),b,7128,a),flip(a)]. 7130 x * ((y \ (1 / y)) * (1 / y)) = y \ ((y \ x) / y). [para(4881(a,1),7129(a,1,2))]. 7131 x * ((y * y) \ (y \ 1)) = y \ ((y \ x) / y). [para(4030(a,1),7130(a,1,2))]. 7132 x \ ((x \ (x * ((y * x) * x))) / x) = T(y,x \ (x \ (x \ 1))). [hyper(58,a,6901,a(flip),b,7131,a),flip(a)]. 7133 x * (y \ (y \ (1 / y))) = y \ ((y \ x) / y). [para(3561(a,1),7131(a,1,2))]. 7134 T(x,y \ (y \ (y \ 1))) = y \ (((x * y) * y) / y). [para(4(a,1),7132(a,1,2,1)),flip(a)]. 7136 T(x,y \ (y \ (y \ 1))) = y \ (x * y). [para(6(a,1),7134(a,2,2))]. 7137 T(x,y \ (y \ (y \ 1))) = T(x,y). [hyper(272,a,17,a,b,7136,a),flip(a)]. 7139 ((x * y) \ T(T(x,y \ 1),x * y)) \ 1 = T(y,(x * y) * (x * y)). [para(6414(a,1),7063(a,1,1,2))]. 7140 T(x,(y * x) * (y * x)) = (T(y,x \ 1) * ((y * x) \ 1)) \ 1. [para(2789(a,1),7139(a,1,1)),flip(a)]. 7141 L(x,y * x,y * x) = (T(y,x \ 1) * ((y * x) \ 1)) \ 1. [hyper(58,a,2952,a(flip),b,7140,a)]. 7142 (x \ (y \ 1)) * ((1 / x) / y) != z | (((1 / x) / y) \ 1) \ (x \ (y \ 1)) = z. [para(7064(a,1),119(a,1)),flip(b)]. 7143 K(L(x,y,z),(u * (x * w)) \ v5) != v6 | K(L(x,y,z),(u * w) \ (x \ v5)) = v6. [para(7079(a,1),6535(a,1))]. 7144 T(K(x \ y,x) * L(x,z,u),x \ y) = y \ ((L(x,z,u) * (x \ y)) * x). [hyper(58,a,5470,a,b,7097,a)]. 7145 x * (((x * y) \ (1 / (x * y))) / x) = (x \ 1) * (((x * y) \ 1) / y). [para(684(a,1),7107(a,1,2,1))]. 7146 L(a(x,T(y,z),x),T(y,z),z) = (y * z) \ ((T(x * y,x) / x) * z). [para(98(a,1),7108(a,1,2)),flip(a)]. 7147 L(a(x,T(y,z),x),T(y,z),z) = R(a(x,y,x),y,z). [hyper(272,a,6757,a(flip),b,7146,a),flip(a)]. 7148 R(a(x,y * K(z,y),x),y * K(z,y),z) = L(a(x,y,x),T(y * K(z,y),z),z). [para(2685(a,1),7147(a,1,1,2)),flip(a)]. 7149 (x * y) * (x * ((x \ 1) \ y)) = x * ((y * (y / (1 / x))) * x). [hyper(29,a,4686,a,b,7112,a)]. 7150 (x * ((y * (y / (1 / x))) * x)) * x = ((x * y) * x) * ((x * y) * x). [para(7149(a,1),4720(a,1,1))]. 7152 (x / y) \ (L(y,z,u) * (y \ x)) = x \ ((L(y,z,u) * (y \ x)) * y). [hyper(58,a,5468,a(flip),b,7144,a)]. 7153 (x \ (x \ (x \ 1))) * ((x * (x * x)) * y) = L(y,x * (x * x),x * (x * x)). [para(3562(a,1),3814(a,1,1))]. 7154 (1 / x) / (L(x,y,z) \ 1) = 1 / (x * (1 / L(x,y,z))). [para(4704(a,1),5053(a,1,2)),flip(a)]. 7155 (1 / x) / (L(x,y,z) \ 1) = (x \ 1) * L(x,y,z). [hyper(272,a,6442,a(flip),b,7154,a),flip(a)]. 7156 a(x,y,K(x * y,z)) = 1. [hyper(246,a,5832,a),flip(a)]. 7158 a(x,y,K(z,x * y)) = 1. [para(28(a,1),7156(a,1,3))]. 7159 L(x * (1 / T(y / z,y)),z \ y,z \ y) = (y \ z) * T(x,T(y / z,y)). [hyper(58,a,6982,a(flip),b,6217,a)]. 7160 a(x,y,x) \ (z \ T(x * y,x)) = K(y,x) * T(z \ (x * y),K(x,y)). [para(5549(a,1),6680(a,1,2)),flip(a)]. 7161 T(K(x,y) * (z \ (y * x)),K(y,x)) = a(y,x,y) \ (z \ T(y * x,y)). [hyper(272,a,5900,a,b,7160,a)]. 7162 ((x \ 1) * y) \ (((x \ 1) * z) * u) = (y \ (z * (u * x))) / x. [hyper(58,a,6210,a(flip),b,7050,a),flip(a)]. 7163 ((x \ 1) * y) \ (((x \ 1) * z) * 1) = (y \ (z * x)) / x. [para(2(a,1),7162(a,2,1,2,2))]. 7164 ((x \ 1) * y) \ ((x \ 1) * z) = (y \ (z * x)) / x. [hyper(292,a,7163,a)]. 7165 (x \ ((x * y) * z)) / z = L(y,x,z \ 1). [hyper(430,a,7164,a),flip(a)]. 7166 ((L(x,y,y) * z) * y) / (z * y) = L(x,y,(z * y) \ 1). [para(3140(a,1),7165(a,1,1))]. 7167 (x * (((x \ y) * (z * x)) / x)) / z = L(y,x \ (x \ 1),z \ 1). [para(6864(a,1),7165(a,1,1))]. 7168 R(L(x,y,y),z,y) = L(x,y,(z * y) \ 1). [hyper(457,a,7166,a)]. 7169 L(R(x,y,z),z,z) = L(x,z,(y * z) \ 1). [hyper(58,a,24,a(flip),b,7168,a)]. 7170 K(L(x,y,z),(u * (w * x)) \ v5) != v6 | K(L(x,y,z),(u * w) \ (x \ v5)) = v6. [para(7106(a,2),7143(a,1))]. 7171 (x \ (x \ (x \ 1))) * (x * ((y * x) * x)) = L(y,x * (x * x),x * (x * x)). [para(4508(a,1),7153(a,1,2))]. 7172 L(x * (1 / T(y / z,y)),z \ y,z \ y) = (y \ z) * T(x,z \ y). [para(4487(a,1),7159(a,2,2))]. 7173 L(x * (1 / T(y / z,y)),z \ y,z \ y) != u | x / ((y \ z) \ 1) = u. [para(7172(a,2),4475(a,1))]. 7174 x \ (x \ (x \ (x * ((y * x) * x)))) = L(y,x * (x * x),x * (x * x)). [hyper(58,a,6832,a(flip),b,7171,a)]. 7175 L(x,y * (y * y),y * (y * y)) = y \ (y \ ((x * y) * y)). [para(4(a,1),7174(a,1,2,2)),flip(a)]. 7177 L(x,y * (y * y),y * (y * y)) = y \ T(x * y,y). [para(17(a,2),7175(a,2,2))]. 7178 L(x,y * (y * y),y * (y * y)) = L(x,y,y). [hyper(272,a,2918,a(flip),b,7177,a),flip(a)]. 7180 T(x \ 1,y) \ (T(1 / x,y) \ z) = ((x \ y) \ y) * (((x \ y) \ y) * z). [para(3426(a,1),3738(a,1,1))]. 7181 T(x \ 1,y) \ (T(1 / x,y) \ z) = z * (((x \ y) \ y) * ((x \ y) \ y)). [hyper(272,a,2956,a,b,7180,a),flip(a)]. 7182 T(x \ 1,y) \ (T(1 / x,y) \ z) = z * (x * x). [para(4875(a,1),7181(a,2,2))]. 7183 T(x \ 1,y) \ (T(1 / x,y) \ z) = x * (x * z). [hyper(272,a,2956,a(flip),b,7182,a),flip(a)]. 7185 (1 / (((x \ 1) \ 1) * y)) * T(y,x \ 1) = T(y,x \ 1) * ((y * x) \ 1). [para(4562(a,1),3817(a,1,1,2))]. 7186 (((x \ 1) \ 1) \ (y \ 1)) * T(x,y \ 1) = T(x,y \ 1) * ((x * y) \ 1). [para(4148(a,1),7185(a,1,1))]. 7187 (1 / x) * ((y \ 1) * T(x,y \ 1)) = T(x,y \ 1) * ((x * y) \ 1). [hyper(58,a,5881,a(flip),b,7186,a)]. 7188 T(x,y \ 1) * ((x * y) \ 1) = (1 / x) * (x * (y \ 1)). [para(98(a,1),7187(a,1,2)),flip(a)]. 7189 T(x,y \ 1) * ((x * y) \ 1) = L(y \ 1,x,x). [hyper(272,a,3118,a(flip),b,7188,a),flip(a)]. 7190 T(x,y \ 1) * ((x * y) \ 1) = L(y,x,x) \ 1. [hyper(272,a,3798,a(flip),b,7189,a),flip(a)]. 7191 L(x,y * x,y * x) = (L(x,y,y) \ 1) \ 1. [para(7190(a,1),7141(a,2,1))]. 7192 L(x,y * x,y * x) = y * ((x \ y) \ 1). [hyper(272,a,4950,a(flip),b,7191,a),flip(a)]. 7193 L(x,(x * y) * T(z,x),(x * (y * (x \ z))) * x) = (x * (y * (x \ z))) * ((x \ (x * (y * (x \ z)))) \ 1). [para(1151(a,1),7192(a,1,2))]. 7194 L(x,y * T(x * z,x),(x * ((x \ y) * z)) * x) = (x * ((x \ y) * z)) * ((x \ (x * ((x \ y) * z))) \ 1). [para(1163(a,1),7192(a,1,2))]. 7195 (x * ((1 / x) * y)) \ (x * ((1 / x) * (y * z))) = L(L(z,y,x),x * y,x \ 1). [para(3556(a,1),3836(a,1,2))]. 7196 (K(x,y) * L(K(x,y) \ 1,z,u)) * w = K(x,y) * (L(K(y,x),z,u) * w). [para(213(a,1),3959(a,1,2)),flip(a)]. 7197 (K(x,y) * L(K(y,x),z,u)) * w = K(x,y) * (L(K(y,x),z,u) * w). [para(2878(a,1),7196(a,1,1,2,1))]. 7198 K(x,y) * (L(K(y,x),z,u) * w) = a(u,z,K(x,y)) * w. [para(6926(a,1),7197(a,1,1)),flip(a)]. 7199 L(K(x,y),z,u) * (K(y,x) * w) = a(u,z,K(y,x)) * w. [hyper(58,a,7105,a,b,7198,a)]. 7200 ((((x \ 1) \ y) \ y) \ 1) * (y / (x \ 1)) = (y / (x \ 1)) * ((y * (1 / x)) \ y). [para(2898(a,1),4122(a,1,1,1))]. 7201 x * ((y * ((1 / x) \ y)) * (1 / x)) = (1 / x) * ((y * x) * (y * x)). [para(4813(a,1),4534(a,1,2)),flip(a)]. 7202 x * ((1 / x) * ((y / (1 / x)) * y)) = (1 / x) * ((y * x) * (y * x)). [para(4557(a,1),7201(a,1,2))]. 7203 ((x \ 1) \ 1) \ ((x \ ((1 / x) * (y * x))) / x) = (1 / x) * ((1 / x) * ((1 / x) * y)). [para(749(a,2),4544(a,1,2))]. 7204 (x * ((x \ 1) \ x)) * T(y,(x \ (1 / x)) / x) = y / (((x \ (1 / x)) \ x) \ 1). [para(4045(a,1),4679(a,1,1))]. 7205 ((x \ 1) * T(x \ 1,y)) * ((y \ 1) \ 1) = ((y \ x) \ 1) * (x \ 1). [para(1970(a,1),4700(a,1,1,2))]. 7206 (x \ T(1 / x,y)) * ((y \ 1) \ 1) = ((y \ x) \ 1) * (x \ 1). [para(756(a,1),7205(a,1,1))]. 7207 (x \ T(1 / x,y)) * ((y \ 1) \ 1) != z | x \ (1 / (x / y)) = z. [para(7206(a,2),3493(a,1))]. 7208 T(x \ y,z / (y \ x)) \ (z * ((y \ x) \ 1)) = (x \ y) \ ((y \ x) \ z). [para(5988(a,1),4722(a,1,1))]. 7209 K(x,(y / z) \ (u \ 1)) / (u * (y / z)) = T(((y \ 1) \ (z \ 1)) \ (1 / u),x). [para(6134(a,1),4916(a,1,1))]. 7210 T(x,y) * (T(x,y) * ((y * y) * T(x,y))) = (y * x) * (y * (x * x)). [para(3159(a,1),5104(a,2,2))]. 7211 x * (x * ((y * y) * T(x,y))) = (y * x) * (y * (x * x)). [hyper(3751,a,7210,a)]. 7214 (x * y) * (x * (y * y)) = y * (y * ((x * y) * x)). [para(1159(a,1),7211(a,1,2,2)),flip(a)]. 7215 T(x * (y * y),x * y) * (x * y) = y * (y * ((x * y) * x)). [hyper(2784,a,7214,a)]. 7216 ((1 / (x * y)) \ x) * (y * x) = x * (x * ((y * x) * y)). [para(5867(a,1),7215(a,1,1))]. 7217 x \ ((T(y \ 1,x) * (y \ 1)) / x) = (y \ (x \ 1)) * (y \ (x \ 1)). [para(2843(a,2),5858(a,1,2,1,1))]. 7218 x \ ((y \ T(1 / y,x)) / x) = (y \ (x \ 1)) * (y \ (x \ 1)). [para(689(a,1),7217(a,1,2,1))]. 7219 (x \ (y \ 1)) * (x \ (y \ 1)) = y \ (x \ (1 / (x * y))). [para(4933(a,1),7218(a,1,2)),flip(a)]. 7220 (x \ (1 / y)) * (x \ (1 / y)) = y \ (x \ (1 / (x * y))). [hyper(58,a,6470,a,b,7219,a)]. 7221 (x \ 1) * ((1 / x) * T((x * y) * z,x)) = L(y * (z * (1 / x)),x,x). [hyper(272,a,3118,a(flip),b,6478,a),flip(a)]. 7222 (x \ 1) * (((x * y) * z) / x) = L(y * (z * (1 / x)),x,x). [para(2780(a,1),7221(a,1,2))]. 7223 ((x \ 1) * (x * y)) * (z / x) = L(y * (z * (1 / x)),x,x). [hyper(58,a,7052,a,b,7222,a)]. 7224 (x * ((1 / x) * y)) * (z / x) = L(y * (z * (1 / x)),x,x). [para(3556(a,1),7223(a,1,1))]. 7225 (x * L(x,y,z)) * L(L(u,L(x,y,z),x),x,x) = (x \ 1) \ (L(x,y,z) * u). [hyper(272,a,2002,a(flip),b,6514,a),flip(a)]. 7226 x * (L(x,y,z) * L(u,x,x)) = (x \ 1) \ (L(x,y,z) * u). [hyper(671,a,7225,a)]. 7227 K(x,y) * (R(T(y,z),u,w) * (K(y,x) * v5)) = R(T(y,z),u,w) * v5. [para(5243(a,1),6581(a,1,2,2,1))]. 7229 (x * (y * L(x,z,u))) \ ((x * y) * L(x,z,u)) = x \ R(x,y,L(x,z,u)). [para(1390(a,1),6597(a,1,2))]. 7230 x \ R(x,y,L(x,z,u)) = a(x,y,L(x,z,u)). [hyper(588,a,7229,a),flip(a)]. 7231 K(x,y) * K(y * L(x,z,u),x) = a(x,y,L(x,z,u)). [hyper(6216,a,7230,a)]. 7232 R(x,y,L(x,z,u)) / x = a(x,y,L(x,z,u)). [hyper(1687,a,7230,a)]. 7233 a(x,y,L(x,z,u)) != w / x | R(x,y,L(x,z,u)) = w. [para(7232(a,1),41(a,1))]. 7234 K(x,y) * a(y,x,L(y,z,u)) = K(x * L(y,z,u),y). [hyper(3894,a,7231,a)]. 7235 L(x,y,L(x,z,u)) \ x = a(x,y,L(x,z,u)). [hyper(58,a,6746,a(flip),b,7231,a)]. 7236 K(x * L(y,z,u),y) != K(x,y) * w | a(y,x,L(y,z,u)) = w. [para(7234(a,1),38(a,1))]. 7237 x * ((1 / x) * ((y \ (1 / x)) / y)) = (y \ (1 / x)) / y. [hyper(58,a,6836,a(flip),b,6726,a),flip(a)]. 7238 (x \ (T(1 / x,y) * (z * x))) / x = ((x \ 1) * (x \ 1)) * (K(1 / x,y) * z). [para(4115(a,1),6781(a,2,1))]. 7239 T(a(x \ 1,y,z) \ 1,u) \ x = (T(L(x,z,y) \ x,u) \ 1) * x. [para(3047(a,1),6845(a,1,1)),flip(a)]. 7240 T(a(x \ 1,y,z) \ 1,u) \ x != w * x | T(L(x,z,y) \ x,u) \ 1 = w. [para(7239(a,2),39(a,1))]. 7241 L(x * (x * y),x,x) * ((y * x) * x) = (x \ 1) \ (x * (y * ((y * x) * x))). [hyper(2010,a,6905,a),flip(a)]. 7242 L(x * (x * y),x,x) * ((y * x) * x) = (x * x) * (y * ((y * x) * x)). [hyper(272,a,3523,a(flip),b,7241,a),flip(a)]. 7243 ((x \ 1) \ (x * y)) * ((y * x) * x) = (x * x) * (y * ((y * x) * x)). [para(2002(a,1),7242(a,1,1))]. 7244 ((x * x) * y) * ((y * x) * x) = (x * x) * (y * ((y * x) * x)). [para(3523(a,1),7243(a,1,1))]. 7245 (x * x) * (y * ((y * x) * x)) = x * (x * (y * ((y * x) * x))). [hyper(58,a,6820,a(flip),b,7244,a),flip(a)]. 7246 ((x * y) * x) * ((x * y) * x) = (x * x) * (y * ((y * x) * x)). [hyper(272,a,6903,a,b,7245,a)]. 7247 ((x * ((x * y) * y)) * y) * y = ((y * x) * y) * ((y * x) * y). [hyper(272,a,3252,a,b,7246,a)]. 7248 x * ((y * (y / (1 / x))) * x) = (y * ((y * x) * x)) * x. [hyper(30,a,7150,a,b,7247,a)]. 7249 (x * x) \ ((y * ((y * x) * x)) * x) = L(T(y * (y / (1 / x)),x),x,x). [para(7248(a,1),211(a,1,2))]. 7250 L(T(x * (x / (1 / y)),y),y,y) = (x * ((x * y) * y)) / y. [hyper(3273,a,7249,a),flip(a)]. 7251 L(((x \ 1) \ y) * y,x,x) = (y * ((y * x) * x)) / x. [para(6174(a,1),7250(a,1,1))]. 7252 (x * ((x * y) * y)) / y = (y * x) * L(x,y,y). [hyper(58,a,5944,a(flip),b,7251,a),flip(a)]. 7253 (x * ((x * y) * y)) / y = ((1 / y) \ x) * x. [hyper(272,a,2004,a(flip),b,7252,a),flip(a)]. 7254 (L(x,y,y) \ 1) \ (((x \ 1) * z) * u) = a(x \ 1,y,y) * ((z * (u * x)) / x). [para(3798(a,1),7051(a,1,1))]. 7255 R(a(x,y * K(z,y),x),y * K(z,y),z) = L(a(x,y,x),y,z). [para(2685(a,1),7148(a,2,2))]. 7256 L(L(x,y,1 / z),(1 / z) * y,z) = L(L(x,y,z),z * y,z \ 1). [hyper(733,a,7195,a)]. 7257 ((1 / T(x,y)) \ 1) * (y / (x \ 1)) = (y / (x \ 1)) * ((y * (1 / x)) \ y). [para(3521(a,1),7200(a,1,1,1))]. 7258 (x / (y \ 1)) * ((x * (1 / y)) \ x) = T(y,x) * (x / (y \ 1)). [hyper(533,a,7257,a),flip(a)]. 7260 (x / (y \ 1)) * ((x * (1 / y)) \ x) = (T(y,x) * x) * y. [hyper(272,a,4294,a(flip),b,7258,a),flip(a)]. 7261 (x / (y \ 1)) * ((x * (1 / y)) \ x) = (x * y) * y. [para(2778(a,1),7260(a,2,1))]. 7262 (x / (y \ 1)) * T(x / (y \ 1),x) = x * ((x * y) * y). [para(7261(a,1),4690(a,1,2)),flip(a)]. 7263 (x \ 1) \ (y * (y / (x \ 1))) = y * ((y * x) * x). [hyper(58,a,6948,a(flip),b,7262,a)]. 7264 x * ((y * (y / (x \ 1))) / x) = (y * ((y * x) * x)) / x. [hyper(113,a,7263,a(flip),b,3480,a),flip(a)]. 7265 x * ((y * (y / (x \ 1))) / x) = ((1 / x) \ y) * y. [hyper(272,a,7253,a(flip),b,7264,a),flip(a)]. 7266 x * (x * ((x \ y) * y)) = ((1 / x) \ y) * y. [para(1164(a,1),7265(a,1,2))]. 7267 (x * (x * x)) * T(y,(x \ (1 / x)) / x) = y / (((x \ (1 / x)) \ x) \ 1). [para(3017(a,1),7204(a,1,1,2))]. 7268 (x * (x * x)) * T(y,x \ (x \ (x \ 1))) = y / (((x \ (1 / x)) \ x) \ 1). [para(5215(a,1),7267(a,1,2))]. 7269 x * ((T(y,x \ (x \ (x \ 1))) * x) * x) = y / (((x \ (1 / x)) \ x) \ 1). [hyper(4513,a,7268,a)]. 7270 x * ((x * x) * T(y,x \ (x \ (x \ 1)))) = y / (((x \ (1 / x)) \ x) \ 1). [hyper(58,a,3280,a(flip),b,7269,a)]. 7271 x * ((x * x) * T(y,x \ (x \ (x \ 1)))) = y / (x \ (x \ (1 / x))). [para(4288(a,1),7270(a,2,2))]. 7272 x / (y \ (y \ (1 / y))) = y * ((y * y) * T(x,y)). [para(7137(a,1),7271(a,1,2,2)),flip(a)]. 7273 x / (y \ (y \ (1 / y))) = y * ((y * x) * y). [para(1159(a,1),7272(a,2,2))]. 7274 (x \ (T(1 / x,y) * (z * x))) / x = (x \ (1 / x)) * (K(1 / x,y) * z). [para(684(a,1),7238(a,2,1))]. 7275 (x \ (T(1 / x,y) * (z * x))) / x = (x \ (1 / x)) * (K(y,1 / x) * z). [para(28(a,1),7274(a,2,2,1))]. 7276 (x \ (T(1 / x,y) * (z * x))) / x = (x \ (1 / x)) * (K(y,x \ 1) * z). [para(2369(a,1),7275(a,2,2,1))]. 7277 (x \ (T(1 / x,y) * (z * x))) / x = (x \ 1) * (x \ (K(y,x \ 1) * z)). [hyper(272,a,3787,a(flip),b,7276,a),flip(a)]. 7278 (x \ (T(1 / x,y) * (z * x))) / x = (x \ 1) * (T(x,x * y) \ z). [para(3971(a,1),7277(a,2,2))]. 7279 (((x \ T(1 / x,y)) * z) * x) / x = (x \ 1) * (T(x,x * y) \ z). [para(6701(a,1),7278(a,1,1))]. 7280 (x \ 1) * (T(x,x * y) \ z) = (x \ T(1 / x,y)) * z. [hyper(279,a,7279,a),flip(a)]. 7282 (x \ T(1 / x,y)) * z = T(x \ 1,y) * (x \ z). [hyper(58,a,4577,a(flip),b,7280,a),flip(a)]. 7283 (x \ T(1 / x,y)) \ z = x * (T(x \ 1,y) \ z). [hyper(112,a,67,a(flip),b,7282,a)]. 7284 (x \ (1 / (y \ T(1 / y,z)))) \ 1 = T(y \ 1,z) * (y \ ((x \ 1) \ 1)). [hyper(58,a,4097,a,b,7282,a)]. 7285 T((x \ y) \ 1,z) * ((x \ y) \ u) = ((y \ x) * T(y \ x,z)) * u. [para(6855(a,1),7282(a,1,1)),flip(a)]. 7286 T(x \ 1,y) * (x \ ((y \ 1) \ 1)) != z | x \ (1 / (x / y)) = z. [para(7282(a,1),7207(a,1))]. 7287 ((x \ 1) * T(x \ 1,y)) \ z = x * (T(x \ 1,y) \ z). [para(756(a,2),7283(a,1,1))]. 7288 (((x / y) \ 1) * T((x / y) \ 1,y)) \ z = (x / y) * ((x \ y) \ z). [para(2257(a,1),7287(a,2,2,1))]. 7289 ((x \ 1) * T(x \ 1,x \ y)) \ z = x * ((T(x,y) \ 1) \ z). [para(3389(a,1),7287(a,2,2,1))]. 7290 ((x \ 1) * (T(x,y) \ 1)) \ z = x * ((T(x,y) \ 1) \ z). [para(3389(a,1),7289(a,1,1,2))]. 7291 (x \ (1 / T(x,y))) \ z = x * ((T(x,y) \ 1) \ z). [para(4587(a,1),7290(a,1,1))]. 7292 ((x \ y) * T(x \ y,y)) * z = (y \ x) \ ((y / x) * z). [hyper(58,a,6590,a(flip),b,7285,a),flip(a)]. 7293 (x \ y) \ ((x / y) * z) = (y \ (x * (x / y))) * z. [para(6950(a,1),7292(a,1,1)),flip(a)]. 7294 (x \ (y * (y / x))) \ z = (x / y) * ((x \ y) \ z). [para(6953(a,1),7288(a,1,1))]. 7295 (x \ (y * (y / x))) * z = (x \ y) * ((x / y) \ z). [hyper(504,a,7294,a)]. 7296 ((x * (y * (1 / x))) \ ((x \ y) * ((x \ y) / (x * (y * (1 / x)))))) \ z = ((x * (y * (1 / x))) / (x \ y)) * ((1 / x) \ z). [para(3837(a,1),7294(a,2,2,1))]. 7297 (x \ y) \ ((x / y) * z) = (y \ x) * ((y / x) \ z). [hyper(58,a,7293,a,b,7295,a)]. 7298 (((x \ y) * (y \ (x * (x / y)))) * z) * (y \ x) = (y / x) \ (z * ((x \ y) \ 1)). [hyper(6880,a,7295,a(flip))]. 7299 (x \ y) * ((y \ x) * ((y / x) \ z)) = (x / y) * z. [hyper(114,a,7295,a(flip),b,7293,a)]. 7300 (x / y) * ((y / x) * z) = (x \ y) * ((y \ x) * z). [hyper(799,a,7297,a),flip(a)]. 7301 (x / y) * ((y / x) * K(x,z)) = (x \ y) * (y \ T(x,z)). [para(5702(a,1),7300(a,2,2))]. 7302 (x / y) * (y / T(x,z)) = (x \ y) * (y \ T(x,z)). [para(3987(a,1),7301(a,1,2))]. 7303 1 / ((x \ y) \ ((y \ T(x,z)) \ ((x \ y) \ 1))) = ((x / y) * (y / T(x,z))) * (x \ y). [para(7302(a,2),4362(a,2,1))]. 7304 (T(x,y) \ z) \ ((x \ z) / (T(x,y) \ z)) = (z \ T(x,y)) * ((x / z) * (z / T(x,y))). [para(7302(a,2),6569(a,2,2))]. 7305 (L(x,y,y) \ 1) \ (((x \ 1) * z) * u) = a(x,y,y) * ((z * (u * x)) / x). [para(4246(a,1),7254(a,2,1))]. 7306 (x / y) \ (z * ((y \ x) \ 1)) = ((y / x) * z) * (x \ y). [para(6949(a,1),7298(a,1,1,1)),flip(a)]. 7307 (((x * y) * T((x * y) \ y,z)) * u) / (y * u) = K(z,1 / R(x,y,u)). [para(1298(a,1),4723(a,1,1))]. 7308 ((x * K(y,T(z,x) \ 1)) * u) / (x * u) = K(y,1 / R(z,x,u)). [para(3151(a,1),7307(a,1,1,1))]. 7309 R(T(K(x,T(y,z) \ 1),z),z,u) = K(x,1 / R(y,z,u)). [hyper(2850,a,7308,a)]. 7310 R(K(x,T(T(y,z) \ 1,z)),z,u) = K(x,1 / R(y,z,u)). [para(5238(a,2),7309(a,1,1))]. 7311 R(K(x,y \ 1),z,u) = K(x,1 / R(y,z,u)). [para(4449(a,1),7310(a,1,1))]. 7312 R(K(x,y \ 1),z,u) = K(x,R(y,z,u) \ 1). [hyper(272,a,2369,a(flip),b,7311,a),flip(a)]. 7314 K(x,R(y,x,z) \ 1) = K(x,y \ 1). [hyper(58,a,6248,a(flip),b,7312,a),flip(a)]. 7315 K(x,R(y \ 1,z,u) \ 1) = R(K(x,y),z,u). [para(2372(a,1),7312(a,1,1)),flip(a)]. 7316 K(x,R(y / z,u,w) \ 1) = R(K(x,z / y),u,w). [para(4452(a,1),7312(a,1,1)),flip(a)]. 7317 K(x,R(R(y,x,z),u,w) \ 1) = K(x,R(y,u,w) \ 1). [para(26(a,1),7314(a,1,2,1))]. 7318 R(K(x,y),z,u) \ w = R(K(y,x),z,u) * w. [para(7315(a,1),4816(a,1,1)),flip(a)]. 7319 (x * R(K(y,z),u,w)) \ x = R(K(z,y),u,w). [hyper(4350,a,7318,a)]. 7320 R(K(x,y),z,u) \ 1 = R(K(y,x),z,u). [hyper(1918,a,7318,a)]. 7321 R(K(x,y),z,u) \ 1 != w | R(K(y,x),z,u) = w. [para(7318(a,2),119(a,1)),flip(b)]. 7322 K(x,R(y,y \ z,u)) = R(K(x,y),z,u). [hyper(6247,a,7320,a)]. 7323 R(K(T(T(x,y),y * z),u),y,z) = ((y * z) \ ((y * K(u,x)) * z)) \ 1. [para(6733(a,1),7320(a,1,1)),flip(a)]. 7324 R(K(x,y),y * z,u) = K(x,R(y,z,u)). [para(4(a,1),7322(a,1,2,2)),flip(a)]. 7325 K(x,(y * z) / ((u \ y) * z)) = R(K(x,u),y,z). [para(91(a,1),7322(a,1,2))]. 7326 K(x,R(y,z,x)) = K(x,y). [hyper(58,a,5747,a(flip),b,7324,a),flip(a)]. 7327 K(x,R(y,z,u)) * ((y * z) * u) = (K(x,y) * (y * z)) * u. [para(7324(a,1),93(a,1,1))]. 7328 R(K(x,y),T(y,z) * u,w) = K(T(x,z),R(T(y,z),u,w)). [para(5243(a,1),7324(a,1,1))]. 7329 K(x,K(y,R(x,z,u)) * w) = K(x,w). [para(7324(a,1),5386(a,1,2,1))]. 7330 R(K(x,y),T(y,T(z,u)) * u,w) = K(x,R(y,u * K(y,z),w)). [para(5316(a,2),7324(a,1,2))]. 7331 K(x,(y / x) / z) = K(x,y / (z * x)). [para(258(a,1),7326(a,1,2)),flip(a)]. 7332 K(x,(y * x) / z) = K(x,y / (z / x)). [para(463(a,1),7326(a,1,2))]. 7333 K(x,y * K(z,R(x,u,w))) = K(x,y). [para(5225(a,1),7329(a,1,2))]. 7334 K(x,y / (z / R(x,u,w))) = K(x,y / (R(x,u,w) \ z)). [para(3706(a,1),7333(a,1,2))]. 7335 K(x,T(y,T(z,R(x,u,w)))) = K(x,T(y,z)). [para(5312(a,1),7333(a,1,2))]. 7336 K(x,(x \ y) / z) = K(x,y / (z * x)). [hyper(58,a,5766,a(flip),b,7331,a)]. 7337 K(x,(y * x) / z) = K(x,y / (x \ z)). [hyper(272,a,5383,a(flip),b,7332,a),flip(a)]. 7338 K(x,(x \ y) / (x \ z)) = K(x,y / z). [hyper(272,a,5842,a(flip),b,7336,a),flip(a)]. 7339 K(x,(x * y) / z) = K(x,y / (x \ z)). [para(4(a,1),7338(a,1,2,1)),flip(a)]. 7340 K(x,T(y,z / R(x,u,w))) = K(x,T(y,R(x,u,w) \ z)). [para(100(a,1),7335(a,1,2,2)),flip(a)]. 7341 (x * R(K(y,z),u,w)) * R(K(z,y),u,w) != v5 | x = v5. [para(7319(a,1),230(a,1,2))]. 7342 R(K(x,y / z),y,u) = K(x,(y * u) / (z * u)). [para(74(a,1),7325(a,1,2,2,1)),flip(a)]. 7343 R(K(x,y / (z / u)),y,u) = K(x,(y * u) / z). [para(176(a,1),7325(a,1,2,2)),flip(a)]. 7344 R(K(x,(y / z) / u),y / z,z) = K(x,y / (u * z)). [para(7(a,1),7342(a,2,2,1))]. 7345 K(x,(x * y) / z) = K(x,x / (z / y)). [hyper(58,a,6248,a(flip),b,7343,a),flip(a)]. 7346 K(x,(x * y) / z) = K(x,(z / y) \ x). [hyper(272,a,4457,a(flip),b,7345,a),flip(a)]. 7347 K(x,(x * y) / z) != u | K(x,(z / y) \ x) = u. [para(7345(a,2),5354(a,1))]. 7348 K(x,y / (x \ z)) = K(x,(z / y) \ x). [hyper(58,a,7339,a(flip),b,7346,a)]. 7349 K(x,(L(y,z,u) / y) \ x) = K(x,(x / L(y,z,u)) * y). [para(1381(a,1),7346(a,1,2)),flip(a)]. 7350 K(x,(y * x) / z) = K(x,(z / y) \ x). [hyper(58,a,7337,a,b,7348,a)]. 7351 K(x,T(y \ (z * x),y)) = K(x,(y / z) \ x). [hyper(5343,a,7350,a)]. 7352 K(x,R(y / x,x * z,u) \ 1) = K(x,(((y * z) * u) / ((x * z) * u)) \ 1). [para(466(a,1),7317(a,1,2,1)),flip(a)]. 7353 R(K(x,(y / (z / u)) \ x),z / u,u) = K(x,z / ((x \ y) * u)). [para(7348(a,1),7344(a,1,1))]. 7354 R(K(x,y),T(y,z) * u,w) = K(x,R(y,u,w)). [hyper(272,a,5285,a(flip),b,7328,a),flip(a)]. 7355 R(K(x,y),T(y,z) * u,w) != v5 | K(x,R(y,u,w)) = v5. [para(7328(a,2),5346(a,1))]. 7357 K(x,R(y,T(y,z) \ u,w)) = R(K(x,y),u,w). [para(5(a,1),7354(a,1,2)),flip(a)]. 7358 R(K(x,y),z * y,u) = K(x,R(y,z,u)). [para(2778(a,1),7354(a,1,2))]. 7359 K(R(x,T(x,y) \ z,u),w) = (v5 * R(K(w,x),z,u)) \ v5. [para(7357(a,1),3899(a,1,1,2)),flip(a)]. 7360 R(K(x,y),y * z,u) != w | K(x,R(y,z,u)) = w. [para(97(a,1),7355(a,1,2,1))]. 7361 K(x,(y \ L(y,z,u)) \ x) = K(x,(x / L(y,z,u)) * y). [para(2501(a,1),7349(a,1,2,1))]. 7362 K(R(x,T(x,y) \ z,u),w) = R(K(x,w),z,u). [hyper(272,a,7319,a(flip),b,7359,a),flip(a)]. 7363 R(K(x,y),K(x,z) * u,w) = K(R(x,x \ u,w),y). [para(3191(a,1),7362(a,1,1,2)),flip(a)]. 7364 R(K(x,y),K(x,z) * u,w) = R(K(x,y),u,w). [hyper(272,a,6240,a(flip),b,7363,a),flip(a)]. 7365 R(K(x,y),T(z,x),u) = R(K(x,y),z,u). [para(2668(a,1),7364(a,1,2)),flip(a)]. 7366 K(x,R(y,z * K(y,u),w)) = K(x,R(y,z,w)). [hyper(7355,a,7330,a),flip(a)]. 7368 K(x,R(y,K(y,z) * u,w)) = K(x,R(y,u,w)). [para(5236(a,1),7366(a,1,2,2))]. 7369 K(R(x,K(x,y) * z,u),w) = (v5 * K(w,R(x,z,u))) \ v5. [para(7368(a,1),3899(a,1,1,2)),flip(a)]. 7370 K(R(x,K(x,y) * z,u),w) = K(R(x,z,u),w). [hyper(272,a,3899,a(flip),b,7369,a),flip(a)]. 7371 K(R(x,K(y,x) * z,u),w) = K(R(x,z,u),w). [para(28(a,1),7370(a,1,1,2,1))]. 7372 R(K(T(x,y),T(z,y * u)),y,u) = ((y * u) \ ((y * K(z,x)) * u)) \ 1. [para(5239(a,1),7323(a,1,1))]. 7373 R(K(x,T(T(y,z),z * u)),z,u) = ((z * u) \ ((z * K(y,x)) * u)) \ 1. [para(5264(a,1),7372(a,1,1))]. 7374 ((x * y) \ ((x * K(z,u)) * y)) \ 1 = (x * y) \ ((x * K(u,z)) * y). [hyper(58,a,6733,a(flip),b,7373,a),flip(a)]. 7375 K(((x / y) * z) \ (x * z),u) \ 1 = (x * z) \ ((x * K(u,y)) * z). [para(6583(a,2),7374(a,1,1))]. 7376 K(x,((y / z) * u) \ (y * u)) = (y * u) \ ((y * K(x,z)) * u). [hyper(2885,a,7375,a)]. 7377 K(x,R(y / x,x * z,u) \ 1) = K(x,((x * z) * u) / ((y * z) * u)). [hyper(272,a,4452,a(flip),b,7352,a),flip(a)]. 7378 R(K(x,x / y),x * z,u) = K(x,((x * z) * u) / ((y * z) * u)). [hyper(58,a,7316,a(flip),b,7377,a)]. 7379 R(K(x,y \ x),x * z,u) = K(x,((x * z) * u) / ((y * z) * u)). [para(4457(a,1),7378(a,1,1))]. 7380 K(x,((x * y) * z) / ((u * y) * z)) = K(R(x,y,z),u \ x). [hyper(58,a,6238,a(flip),b,7379,a),flip(a)]. 7381 K(R(x,x \ y,z),u \ x) = K(x,(y * z) / ((u * (x \ y)) * z)). [para(5(a,1),7380(a,1,2,1,1)),flip(a)]. 7382 K(x,((y * z) * R(x,y,z)) / ((u * (K(y * z,x) * y)) * z)) = K(R(x,K(y * z,x) * y,z),u \ x). [para(4745(a,1),7380(a,1,2,1))]. 7383 K(x,(y * z) / ((u * (x \ y)) * z)) = R(K(x,u \ x),y,z). [hyper(58,a,6240,a(flip),b,7381,a),flip(a)]. 7384 (x \ (x \ y)) * K(z,L(1 / x,x \ 1,y)) = y * ((x \ 1) * T(1 / x,z)). [para(4382(a,1),6348(a,1,1))]. 7385 ((x * (y * ((x \ (z / u)) / y))) * u) / z = K(y,z / ((x * y) * u)). [hyper(58,a,7344,a(flip),b,6823,a),flip(a)]. 7386 (x * (y \ z)) * (u * (((x * (y \ z)) \ z) / u)) = (x * (u * ((x \ y) / u))) * (y \ z). [para(2214(a,1),2625(a,2,1))]. 7387 R(K(x,y),x \ y,L(z,x \ y,K(x,y))) = K(x,y). [hyper(272,a,6,a(flip),b,3411,a),flip(a)]. 7389 R(K(x,y),x \ y,z) = K(x,y). [para(424(a,1),7387(a,1,3))]. 7391 R(K(x,R(y,x \ 1,x)),T(y * (1 / x),x),z) = K(x,R(y,x \ 1,x)). [para(1838(a,1),7389(a,1,2))]. 7392 R(K(x,y),T(y * (1 / x),x),z) = K(x,R(y,x \ 1,x)). [para(7326(a,1),7391(a,1,1))]. 7393 R(K(x,y),y * (1 / x),z) = K(x,R(y,x \ 1,x)). [hyper(58,a,7365,a(flip),b,7392,a)]. 7395 R(K(x,y),y * (x \ 1),z) = K(x,R(y,x \ 1,x)). [hyper(58,a,2478,a(flip),b,7393,a)]. 7396 K(x,R(y,x \ 1,z)) = K(x,R(y,x \ 1,x)). [hyper(7360,a,7395,a)]. 7402 K(x,R(y,x \ 1,z)) = K(x,y). [hyper(272,a,7326,a(flip),b,7396,a),flip(a)]. 7405 T(x \ 1,R(y,(x \ 1) \ 1,z)) = x \ K(x \ 1,y). [hyper(112,a,7402,a(flip),b,2671,a),flip(a)]. 7406 T(x \ 1,R(y,(x \ 1) \ 1,z)) = T(x \ 1,y). [hyper(272,a,2675,a(flip),b,7405,a),flip(a)]. 7407 T(x \ 1,R(y,x,z)) = T(x \ 1,y). [para(2477(a,1),7406(a,1,2))]. 7408 T(x \ 1,y) * R(T(x \ 1,R(y,x,z)) \ 1,u,w) = T((x \ 1) * R((x \ 1) \ 1,u,w),R(y,x,z)). [para(7407(a,1),1569(a,1,1))]. 7409 ((x \ y) \ y) \ T(1 / ((x \ y) \ y),z) = T(1 / x,y) * T(T(1 / x,y),z). [para(3492(a,1),3519(a,2,2,1))]. 7410 ((x \ y) \ y) \ T(1 / ((x \ y) \ y),z) = (1 / x) * T(1 / x,T(z,y)). [hyper(272,a,5430,a(flip),b,7409,a),flip(a)]. 7411 ((x \ y) \ y) \ T(1 / ((x \ y) \ y),z) = x \ T(1 / x,T(z,y)). [hyper(272,a,6697,a(flip),b,7410,a),flip(a)]. 7412 (x \ (y \ x)) * T(x \ (y \ x),z) = y \ T(1 / y,T(z,x)). [hyper(58,a,6855,a(flip),b,7411,a)]. 7413 (1 / T(x * y,x)) * (1 / T(x * y,x)) = (x \ T(1 / y,x)) * (x \ T(1 / y,x)). [para(3036(a,1),4145(a,1,2))]. 7414 ((x \ 1) * (x \ 1)) * ((1 / (1 / x)) \ (y * y)) = ((1 / x) * ((y * y) / x)) * (1 / x). [para(4115(a,1),4337(a,1,1))]. 7415 T(x * T(y,y \ 1),y) / (x / y) = T(y,y \ 1) * T(T(y,y \ 1),x / y). [para(4834(a,1),4702(a,1,1))]. 7416 ((x \ 1) \ y) / (y / x) = T(x,x \ 1) * T(T(x,x \ 1),y / x). [para(2769(a,1),7415(a,1,1))]. 7417 ((x \ 1) \ y) / (y / x) = T(x,x \ 1) * T(T(x,x \ 1),x \ y). [para(6462(a,1),7416(a,2,2))]. 7418 ((x \ 1) \ y) / (y / x) = T(x,x \ 1) * ((x \ 1) \ K(x,x \ y)). [para(2876(a,1),7417(a,2,2))]. 7419 ((x \ 1) \ y) / (y / x) = T(x,x \ 1) * T(x,x * y). [para(4833(a,1),7418(a,2,2))]. 7420 ((x \ 1) \ y) / (y / x) = T(x,x \ 1) * T(x,y * x). [para(2315(a,2),7419(a,2,2))]. 7421 T(x * T(x,y * x),x) = ((x \ 1) \ y) / (y / x). [hyper(272,a,4834,a(flip),b,7420,a)]. 7422 (K(x,y * x) / x) \ x = ((x \ 1) \ y) / (y / x). [hyper(58,a,4735,a(flip),b,7421,a)]. 7423 ((x \ 1) \ y) / (y / x) = T(1 / x,y) \ x. [para(3335(a,1),7422(a,1,1)),flip(a)]. 7424 (((T(x,y) \ 1) \ 1) * ((1 / x) \ y)) \ 1 = ((T(x,y) \ 1) \ 1) \ (x \ (y \ 1)). [para(3482(a,1),4711(a,1,1,2))]. 7425 ((T(x,y) \ 1) \ 1) \ (x \ (y \ 1)) = ((y * T(x,y)) \ 1) * (T(x,y) \ 1). [para(72(a,1),4842(a,1,1,1,2)),flip(a)]. 7427 ((T(x,y) \ 1) \ 1) \ (x \ (y \ 1)) = ((x * y) \ 1) * (T(x,y) \ 1). [para(98(a,1),7425(a,2,1,1))]. 7428 ((x \ (y \ 1)) \ 1) \ ((1 / x) / y) = (((x * y) * (x * y)) / 1) \ 1. [para(6426(a,1),4906(a,1,1,1)),flip(a)]. 7429 ((x \ (y \ 1)) \ 1) \ ((1 / x) / y) = (x * y) \ ((x * y) \ 1). [hyper(272,a,3455,a(flip),b,7428,a),flip(a)]. 7430 ((x \ (y \ 1)) \ 1) \ ((1 / x) / y) != z | x \ (y \ ((y * x) \ 1)) = z. [para(7429(a,2),5921(a,1))]. 7431 ((x \ 1) \ (y \ 1)) \ (z * (1 / (y \ x))) = (((x / y) \ 1) * z) * T((x / y) \ 1,x). [para(4191(a,1),4986(a,1,1))]. 7432 ((1 / (x / y)) * z) * T(1 / (x / y),x) = (x / y) \ (z * ((y \ x) \ 1)). [para(74(a,1),4987(a,1,1)),flip(a)]. 7434 ((1 / (x / y)) * z) * ((y \ x) \ 1) = (x / y) \ (z * ((y \ x) \ 1)). [para(3469(a,1),7432(a,1,2))]. 7435 ((1 / (x / y)) * z) * ((y \ x) \ 1) = ((y / x) * z) * (x \ y). [hyper(272,a,7306,a(flip),b,7434,a),flip(a)]. 7436 (T(x,y) * K(y,z)) * (T(y,z) * (T(x,y) * K(y,z))) = (T(y,z) \ (y * x)) * (y * x). [para(3998(a,1),5034(a,1,2,2))]. 7437 ((x \ y) \ y) * T((x \ y) \ y,y / x) = (y / x) \ (x * y). [para(5(a,1),5060(a,1,2,2)),flip(a)]. 7439 ((x \ y) \ y) * ((T(x,y / x) \ y) \ y) = (y / x) \ (x * y). [para(5427(a,1),7437(a,1,2))]. 7440 ((x \ y) \ y) * ((y / x) \ y) = (y / x) \ (x * y). [para(2842(a,1),7439(a,1,2,1))]. 7441 (x / y) \ (y * x) = ((y \ x) \ x) * y. [para(74(a,1),7440(a,1,2)),flip(a)]. 7442 (x / y) \ (y * x) = y * ((y \ x) \ x). [hyper(272,a,4503,a(flip),b,7441,a),flip(a)]. 7443 (x \ (1 / x)) / T(y,T(x,y) \ 1) = T(x \ (y \ 1),y) * (T(x,y) \ 1). [para(3970(a,1),5153(a,1,1))]. 7445 (x \ (1 / x)) / T(y,x \ 1) = T(x \ (y \ 1),y) * (T(x,y) \ 1). [para(5372(a,1),7443(a,1,2))]. 7446 T(x \ (y \ 1),y) * (T(x,y) \ 1) = x \ (1 / (x * y)). [hyper(5154,a,7445,a),flip(a)]. 7447 (L(x,y,y) \ 1) \ T(z * (u * (1 / x)),x) = a(x \ 1,y,y) * (x \ ((x * z) * u)). [para(3798(a,1),6488(a,1,1))]. 7448 x * (T(y \ (x \ 1),x) * (T(y,x) \ 1)) = (y \ (x \ 1)) * (x * (T(y,x) \ 1)). [para(4347(a,1),6532(a,1,1)),flip(a)]. 7449 x * (T(y \ (x \ 1),x) * (T(y,x) \ 1)) = (y \ (x \ 1)) * (y \ x). [para(3006(a,1),7448(a,2,2))]. 7450 (x \ (y \ 1)) * (x \ y) = y * (x \ (1 / (x * y))). [para(7446(a,1),7449(a,1,2)),flip(a)]. 7451 (x \ y) * ((y * (y * x)) \ y) = y * (x \ (1 / (x * y))). [hyper(58,a,6388,a,b,7450,a)]. 7452 (x \ y) * ((y * y) \ (x \ y)) = y * (x \ (1 / (x * y))). [para(3784(a,1),7451(a,1,2))]. 7453 (x \ (x * (x / y))) * (z * (x \ (x * (x / y)))) = (y / x) \ (z / (y / x)). [para(3309(a,1),6573(a,2,2,2))]. 7454 (x / y) * (z * (x \ (x * (x / y)))) = (y / x) \ (z / (y / x)). [para(4(a,1),7453(a,1,1))]. 7455 (x / y) \ (z / (x / y)) = (y / x) * (z * (y / x)). [para(4(a,1),7454(a,1,2,2)),flip(a)]. 7457 (x / y) * ((y * z) * (x / y)) = x * (z * ((y / x) \ 1)). [hyper(1147,a,7455,a),flip(a)]. 7459 (x / y) * L(z * (x * (1 / y)),y,y) = x * (((1 / y) * z) * ((y / x) \ 1)). [para(7224(a,1),7457(a,1,2))]. 7460 (x * (y * R(z,u,L(z,y,x)))) / (x * (y * z)) = a(L(z,y,x),u,L(z,y,x)). [para(362(a,1),6673(a,1,1))]. 7461 (x * (y * (L(y,z,u) * (1 / y)))) * (1 / y) = (y \ 1) \ (y \ ((x * L(y,z,u)) / y)). [para(3588(a,1),6900(a,1,1,2))]. 7462 ((x \ (x / y)) / x) * (x \ (x / y)) = x * (((x \ 1) / y) * ((x \ 1) / y)). [para(4928(a,1),7123(a,1,2))]. 7463 ((x * x) \ (x / y)) * ((x / y) / x) = x * (((x \ 1) / y) * ((x \ 1) / y)). [hyper(58,a,6587,a(flip),b,7462,a)]. 7464 x * (((x \ 1) / y) * ((x \ 1) / y)) = ((1 / x) / y) * ((x / y) / x). [para(4638(a,1),7463(a,1,1)),flip(a)]. 7465 x * ((y \ (x \ 1)) * (y \ (x \ 1))) = ((1 / x) / y) * ((x / y) / x). [para(4115(a,1),7464(a,1,2))]. 7466 ((1 / x) / y) * ((x / y) / x) = x * (x \ (y \ (1 / (y * x)))). [para(7219(a,1),7465(a,1,2)),flip(a)]. 7467 ((1 / x) / y) * ((x / y) / x) = y \ (1 / (y * x)). [hyper(272,a,5,a(flip),b,7466,a),flip(a)]. 7469 ((x \ 1) \ 1) \ ((x \ T(y,x \ 1)) / x) = (1 / x) * ((1 / x) * ((1 / x) * y)). [para(3033(a,1),7203(a,1,2,1,2))]. 7470 ((x \ 1) \ 1) \ (((x \ 1) * T(y,x)) / x) = (1 / x) * ((1 / x) * ((1 / x) * y)). [para(2841(a,1),7469(a,1,2,1))]. 7471 ((x \ 1) \ 1) \ (x \ (T(y,x) / x)) = (1 / x) * ((1 / x) * ((1 / x) * y)). [para(3582(a,1),7470(a,1,2))]. 7472 (x \ (x \ T(y,x))) / x = (1 / x) * ((1 / x) * ((1 / x) * y)). [hyper(58,a,5212,a(flip),b,7471,a)]. 7473 (x \ (x \ T(y,x))) / x = x \ ((x * x) \ y). [hyper(272,a,5935,a(flip),b,7472,a),flip(a)]. 7474 (x \ T(y,z)) * ((y / x) * (x / T(y,z))) = (T(y,z) \ x) \ K(y,z). [para(3359(a,1),7304(a,1,2)),flip(a)]. 7475 (x \ T(y,z)) * ((y / x) * (x / T(y,z))) = (y \ x) \ 1. [hyper(272,a,5611,a(flip),b,7474,a),flip(a)]. 7478 (x \ T(y,z)) * ((y \ x) * (x \ T(y,z))) = (y \ x) \ 1. [para(7302(a,1),7475(a,1,2))]. 7479 (x \ T(y,z)) \ ((y \ x) \ 1) = (y \ x) * (x \ T(y,z)). [hyper(117,a,7478,a)]. 7480 1 / ((x \ y) \ ((x \ y) * (y \ T(x,z)))) = ((x / y) * (y / T(x,z))) * (x \ y). [para(7479(a,1),7303(a,1,2,2))]. 7481 ((x / y) * (y / T(x,z))) * (x \ y) = 1 / (y \ T(x,z)). [para(4(a,1),7480(a,1,2)),flip(a)]. 7483 ((x \ y) * (y \ T(x,z))) * (x \ y) = 1 / (y \ T(x,z)). [para(7302(a,1),7481(a,1,1))]. 7484 (x * (y * ((x \ (z / u)) / y))) * ((z / u) \ z) = (x * u) * (y * (((x * ((z / u) \ z)) \ z) / y)). [para(74(a,1),7386(a,1,1,2)),flip(a)]. 7485 (T(x * y,x) \ 1) * (T(x * y,x) \ 1) = (x \ T(1 / y,x)) * (x \ T(1 / y,x)). [hyper(58,a,4115,a(flip),b,7413,a)]. 7486 (x \ (1 / x)) * ((1 / (1 / x)) \ (y * y)) = ((1 / x) * ((y * y) / x)) * (1 / x). [para(684(a,1),7414(a,1,1))]. 7487 ((1 / x) * ((y * y) / x)) * (1 / x) = (x \ (1 / x)) * (y * (y * (1 / x))). [para(3367(a,1),7486(a,1,2)),flip(a)]. 7488 ((1 / x) * ((y * y) / x)) * (1 / x) = (x \ 1) * (x \ (y * (y * (1 / x)))). [hyper(272,a,3787,a(flip),b,7487,a),flip(a)]. 7489 (x \ 1) * (x \ (y * (y * (1 / x)))) = (x \ ((y * y) / x)) * (1 / x). [para(3827(a,1),7488(a,1,1)),flip(a)]. 7490 (x \ 1) * (x \ (y * (y * (1 / x)))) = (x * x) \ (x \ (y * y)). [hyper(272,a,4030,a(flip),b,7489,a),flip(a)]. 7491 ((x \ 1) \ (y \ 1)) \ (z * (1 / (y \ x))) = (((x / y) \ 1) * z) * (1 / (y \ x)). [para(3362(a,1),7431(a,2,2))]. 7492 (T(x,y) * K(y,z)) * (y * T(T(x,y),K(y,z))) = (T(y,z) \ (y * x)) * (y * x). [para(3730(a,1),7436(a,1,2))]. 7493 (T(x,y) * K(y,z)) * (y * T(x,T(y,z))) = (T(y,z) \ (y * x)) * (y * x). [para(5487(a,1),7492(a,1,2,2))]. 7494 (x * (y * (1 / z))) / (1 / L(z,u,u)) = a(z \ 1,u,u) * (z \ ((z * x) * y)). [hyper(58,a,5979,a(flip),b,7447,a)]. 7495 (x * (y * (1 / z))) / (1 / L(z,u,u)) = a(z,u,u) * (z \ ((z * x) * y)). [para(4246(a,1),7494(a,2,1))]. 7496 (x * (y * (1 / z))) / (1 / L(z,u,u)) = L(z,u,u) \ ((z * x) * y). [hyper(272,a,6141,a(flip),b,7495,a),flip(a)]. 7497 (x \ 1) \ (x \ ((y * L(x,z,u)) / x)) = (y * L(L(x,z,u),x,x)) * (1 / x). [para(4525(a,1),7461(a,1,1,2)),flip(a)]. 7498 (x \ 1) \ (x \ ((y * L(x,z,u)) / x)) = (L(y,x,x) * L(x,z,u)) / x. [hyper(272,a,5956,a(flip),b,7497,a),flip(a)]. 7499 (x \ 1) \ ((x \ y) * (x \ L(x,z,u))) = (L(y,x,x) * L(x,z,u)) / x. [para(1150(a,1),7498(a,1,2))]. 7500 (L(x,y,y) * L(y,z,u)) / y = (x * T(L(y,z,u),y)) * (y \ 1). [hyper(58,a,996,a(flip),b,7499,a),flip(a)]. 7501 (L(x,y,y) * L(y,z,u)) / y = (x * L(y,z,u)) * (y \ 1). [para(159(a,1),7500(a,2,1,2))]. 7502 (x \ T(1 / y,x)) * (x \ T(1 / y,x)) = (x * y) \ (1 / (x * y)). [hyper(58,a,4082,a(flip),b,7485,a),flip(a)]. 7504 (x \ (1 / y)) * (x \ (1 / y)) = (x * y) \ (1 / (x * y)). [hyper(58,a,6395,a(flip),b,7502,a)]. 7505 (x \ (y \ 1)) * (x \ (y \ 1)) = (x * y) \ (1 / (x * y)). [hyper(6471,a,7504,a)]. 7506 (x * y) \ (1 / (x * y)) = y \ (x \ (1 / (x * y))). [hyper(58,a,7220,a(flip),b,7504,a),flip(a)]. 7507 (x \ (y \ (1 / (y * x)))) * (x * x) = ((y * x) \ 1) * ((y / x) \ 1). [para(7506(a,1),4047(a,1,1))]. 7508 x * (x * (x \ (y \ (1 / (y * x))))) = ((y * x) \ 1) * ((y / x) \ 1). [hyper(3013,a,7507,a)]. 7509 ((x * y) \ 1) * ((x / y) \ 1) = y * (x \ (1 / (x * y))). [hyper(288,a,7508,a),flip(a)]. 7511 ((T(x,y) * (1 / y)) \ 1) * (((y \ 1) \ x) \ 1) = (1 / y) * (T(x,y) \ (1 / (T(x,y) * (1 / y)))). [para(3350(a,1),7509(a,1,2,1))]. 7512 ((x \ (1 / (x * y))) * y) / (1 / y) = y * (((x * y) \ 1) * ((x / y) \ 1)). [para(7509(a,2),3574(a,2,2))]. 7513 x * (((y * x) \ 1) * ((y / x) \ 1)) = (y \ T(1 / y,x)) / (1 / x). [para(4935(a,1),7512(a,1,1)),flip(a)]. 7514 R(K(x,y),z,L(R(x,u,w),z,K(x,y))) = K(x,y). [hyper(272,a,6,a(flip),b,5746,a),flip(a)]. 7516 R(K(x,y),z,R(x,u,w)) = K(x,y). [para(5743(a,1),7514(a,1,3))]. 7517 K(x,(y * R(x,z,u)) / w) = K(x,y / (w / R(x,z,u))). [hyper(58,a,7343,a(flip),b,7516,a)]. 7518 K(R(x,y,R(x,z,u)),w) = K(x,w). [hyper(58,a,6238,a(flip),b,7516,a)]. 7520 K(x,T(y,z * R(x,u,w))) = K(x,T(y,z)). [hyper(6212,a,7518,a),flip(a)]. 7521 K(x,T(y,z / R(x,u,w))) = K(x,T(y,z)). [para(7(a,1),7520(a,1,2,2)),flip(a)]. 7522 K(x,T(y,R(x,z,u) \ w)) = K(x,T(y,w)). [hyper(58,a,7340,a(flip),b,7521,a)]. 7524 K(x,T(y,R(x,z,u) * w)) = K(x,T(y,w)). [para(4(a,1),7522(a,1,2,2)),flip(a)]. 7525 K(x,T(y \ (R(x,z,u) * w),w)) = K(x,(R(x,z,u) * w) / y). [hyper(58,a,4456,a(flip),b,7524,a),flip(a)]. 7526 K(x,(y * R(x,z,u)) / w) = K(x,y / (R(x,z,u) \ w)). [hyper(272,a,7334,a(flip),b,7517,a),flip(a)]. 7527 L(x,K(y,z),x) * (u * (x * K(w,v5))) = (x * K(w,v5)) * T(u * x,K(w,v5)). [para(6402(a,1),5803(a,2,2))]. 7528 (x * K(y,z)) * T(u * x,K(y,z)) = x * (u * (x * K(y,z))). [para(1765(a,1),7527(a,1,1)),flip(a)]. 7529 (x * ((y / z) * (y / z))) * K(u,L(x,z \ y,z \ y)) = (y / z) * ((y / z) * T(x,u)). [para(2956(a,2),6989(a,1,1))]. 7530 (L(x,y / (z * (z * x)),y / (z * (z * x))) \ 1) \ (z * z) = z * (z * L(x,y,y)). [hyper(6760,a,7011,a)]. 7531 (L(x,(y * (y * x)) \ z,(y * (y * x)) \ z) \ 1) \ (y * y) = y * (y * L(x,z,z)). [para(6982(a,1),7530(a,1,1,1))]. 7532 (x * ((y \ z) * (y \ z))) * K(u,L(x,y \ z,y \ z)) = (z / y) * ((z / y) * T(x,u)). [para(4115(a,1),7529(a,1,1,2))]. 7533 (x * ((y \ z) * (y \ z))) * K(u,x) = (z / y) * ((z / y) * T(x,u)). [para(5963(a,1),7532(a,1,2))]. 7534 (x * ((y \ z) * (y \ z))) * K(x,u) = (z / y) * ((z / y) * T(x,u)). [para(28(a,1),7533(a,1,2))]. 7536 (L(x,y,z) \ x) \ (u * (L(x,y,z) \ x)) = (x \ L(x,y,z)) * (u / (x \ L(x,y,z))). [para(4422(a,1),4061(a,1,2,2))]. 7537 (x \ L(x,y,z)) * (u / (x \ L(x,y,z))) = T(u,L(x,y,z) \ x). [hyper(291,a,7536,a),flip(a)]. 7538 ((x \ L(x,y,z)) \ u) / T(u,L(x,y,z) \ x) = 1 / T(x \ L(x,y,z),u). [para(7537(a,1),4429(a,1,2))]. 7539 (x * (y \ L(y,z,u))) \ T(x,L(y,z,u) \ y) = 1 / T(y \ L(y,z,u),x). [hyper(5736,a,7538,a)]. 7540 1 / T(x \ L(x,y,z),u) = T(x \ L(x,y,z),u) \ 1. [hyper(58,a,5426,a(flip),b,7539,a),flip(a)]. 7541 T(x,y \ (z \ 1)) * ((1 / y) * (1 / z)) = ((1 / y) * (1 / z)) * x. [para(6785(a,1),4134(a,1,1))]. 7542 ((x \ 1) * (y * (z * (1 / x)))) * (x \ 1) = ((x \ 1) * y) * (((x \ 1) \ 1) \ (x \ z)). [para(3839(a,1),4591(a,1,2)),flip(a)]. 7543 ((x \ 1) * (y * (z * (1 / x)))) * (x \ 1) = ((x \ 1) * y) * (z * (x \ (1 / x))). [para(5211(a,1),7542(a,2,2))]. 7544 ((x \ 1) * y) * (z * (x \ (1 / x))) = (x \ (y * (z * (1 / x)))) / x. [hyper(4518,a,7543,a),flip(a)]. 7545 ((x \ 1) * y) * (z * (x \ (1 / x))) = ((1 / x) * y) * (x \ (x \ z)). [hyper(272,a,3570,a(flip),b,7544,a),flip(a)]. 7546 (((x / y) \ 1) * z) * (K(y,y \ x) * (1 / (x / y))) = ((1 / (x / y)) * z) * ((x / y) \ ((x / y) \ (y \ x))). [para(4003(a,1),7545(a,1,2))]. 7547 (x * x) * ((T((1 / x) * y,x * x) * z) * (x * x)) = L(x * y,x,x) * (z * (x * x)). [para(2952(a,1),4820(a,2,1))]. 7548 (x * x) * ((T((1 / x) * y,x * x) * z) * (x * x)) = ((x \ 1) \ y) * (z * (x * x)). [para(2002(a,1),7547(a,2,1))]. 7549 (x * x) * ((T((1 / x) * y,x * x) * z) * (x * x)) = ((x \ 1) \ y) * (x * (x * z)). [para(2956(a,1),7548(a,2,2))]. 7550 (x * x) * ((L((1 / x) * y,x,x) * z) * (x * x)) = ((x \ 1) \ y) * (x * (x * z)). [para(2952(a,1),7549(a,1,2,1,1))]. 7551 (x * x) * (((x \ y) * z) * (x * x)) = ((x \ 1) \ y) * (x * (x * z)). [para(1996(a,1),7550(a,1,2,1,1))]. 7552 (x * x) * (x * (x * ((x \ y) * z))) = ((x \ 1) \ y) * (x * (x * z)). [para(2956(a,1),7551(a,1,2))]. 7553 x * (x * ((((x \ y) * z) * x) * x)) = ((x \ 1) \ y) * (x * (x * z)). [hyper(58,a,4430,a(flip),b,7552,a)]. 7554 x * (x * ((x * x) * ((x \ y) * z))) = ((x \ 1) \ y) * (x * (x * z)). [hyper(58,a,3775,a(flip),b,7553,a)]. 7555 ((x \ 1) \ y) * (x * (x * (z * (x \ 1)))) = x * (x * ((x * x) * (x \ ((y * z) / x)))). [para(1136(a,1),7554(a,1,2,2,2)),flip(a)]. 7556 ((x \ 1) \ y) * (x * (x * (z * (x \ 1)))) = x * (x * ((x \ 1) \ ((y * z) / x))). [para(3498(a,1),7555(a,2,2,2))]. 7557 ((x \ 1) \ y) * (x * (x * (z * (x \ 1)))) = ((x \ 1) \ (y * z)) * x. [hyper(272,a,4531,a(flip),b,7556,a),flip(a)]. 7558 ((x \ 1) \ (y * z)) * x = ((x \ 1) \ y) * (z * x). [para(2939(a,1),7557(a,1,2)),flip(a)]. 7559 (((T(x \ 1,y) \ 1) \ 1) \ z) * (u * (T(x \ 1,y) \ 1)) = (T(1 / x,y) \ (z * u)) * (T(x \ 1,y) \ 1). [para(5438(a,1),7558(a,1,1,1)),flip(a)]. 7560 T((x * y) * ((1 / x) * y),x * x) = x * ((y * (((1 / x) * y) * x)) / x). [para(3352(a,1),5157(a,1,1,1))]. 7561 x * ((y * (((1 / x) * y) * x)) / x) = T(x * ((y / x) * y),x * x). [para(6528(a,1),7560(a,1,1)),flip(a)]. 7562 x * ((y * (((1 / x) * y) * x)) / x) = L(x * ((y / x) * y),x,x). [hyper(272,a,2952,a(flip),b,7561,a),flip(a)]. 7563 x * ((y * (((1 / x) * y) * x)) / x) = (x \ 1) \ ((y / x) * y). [hyper(272,a,2002,a(flip),b,7562,a),flip(a)]. 7564 (x \ 1) \ ((y / x) * y) = x * ((y / x) * y). [para(4087(a,1),7563(a,1,2)),flip(a)]. 7565 (x * x) * ((x \ y) * (x * y)) = x * (x * (x * ((y / x) * y))). [para(7564(a,1),6533(a,1,2,2)),flip(a)]. 7566 (x * x) * ((x \ y) * (x * y)) = (1 / x) \ ((y * x) * y). [hyper(272,a,6435,a(flip),b,7565,a),flip(a)]. 7567 (x * x) * (x * ((y / x) * y)) = (1 / x) \ ((y * x) * y). [para(6530(a,1),7566(a,1,2))]. 7568 (x * y) * T(x * y,y * y) = (1 / y) \ ((x * y) * x). [hyper(58,a,6413,a,b,7567,a)]. 7569 (x * y) * L(x * y,y,y) = (1 / y) \ ((x * y) * x). [para(2952(a,1),7568(a,1,2))]. 7570 (1 / x) \ ((y * x) * y) = (y * x) * (y / (1 / x)). [para(2966(a,1),7569(a,1,2)),flip(a)]. 7571 (x * x) * (x * ((y / x) * y)) = (y * x) * (y / (1 / x)). [hyper(58,a,7567,a,b,7570,a)]. 7572 (x * y) * (x / (1 / y)) = y * (x / (1 / (y * x))). [hyper(58,a,6564,a(flip),b,7571,a),flip(a)]. 7573 (x * x) * (x * (y / (1 / (x * y)))) = (y * x) * ((x * x) * (y * x)). [para(7572(a,1),7068(a,1,2))]. 7574 (x * y) * ((y * y) * (x * y)) = (y * x) * ((y * y) * (y * x)). [hyper(58,a,6813,a(flip),b,7573,a),flip(a)]. 7575 (x * y) * ((x * x) * (x * y)) = x * ((y * (x * (y * x))) * x). [hyper(58,a,6774,a(flip),b,7574,a),flip(a)]. 7576 (x * x) \ (x * ((y * (x * (y * x))) * x)) = (x * y) * T(x * y,x * x). [hyper(112,a,7575,a(flip),b,5011,a)]. 7577 (x * (((y * y) * (y * x)) * (y \ 1))) * y = (y \ 1) * (y * ((x * (y * (x * y))) * y)). [para(7575(a,1),6419(a,2,2))]. 7578 (1 / x) * ((y * (x * (y * x))) * x) = (x * y) * T(x * y,x * x). [hyper(3354,a,7576,a)]. 7579 T(x * (y * (x * y)),y \ 1) = (y * x) * T(y * x,y * y). [hyper(3229,a,7578,a)]. 7580 T(x * (y * (x * y)),y \ 1) = y * (x / (1 / (y * x))). [hyper(272,a,6812,a(flip),b,7579,a),flip(a)]. 7581 (x \ 1) * (x * ((y * (x * (y * x))) * x)) = (y * ((x * y) / (1 / x))) * x. [para(4029(a,1),7577(a,1,1,2)),flip(a)]. 7582 (x \ 1) * (x * ((y * (x * (y * x))) * x)) = (y * (x * (y * x))) * x. [para(3589(a,1),7581(a,2,1,2))]. 7583 x * ((1 / x) * ((y * (x * (y * x))) * x)) = (y * (x * (y * x))) * x. [hyper(58,a,3556,a(flip),b,7582,a)]. 7584 x * T(y * (x * (y * x)),x \ 1) = (y * (x * (y * x))) * x. [para(3033(a,1),7583(a,1,2))]. 7585 x * (x * (y / (1 / (x * y)))) = (y * (x * (y * x))) * x. [para(7580(a,1),7584(a,1,2))]. 7586 (T(x \ 1,y) * K(y,z)) * (T(y,z) / (x * y)) = (T(y,z) * (y \ (T(y,z) / x))) / (x * y). [para(5763(a,1),5788(a,2,1,2))]. 7587 T(x \ 1,y) * (z * (T(1 / x,y) \ 1)) = z * K(z * T(x \ 1,y),T(1 \ x,y)). [para(5479(a,1),6167(a,1,2)),flip(a)]. 7588 T(x \ 1,y) * (z * (T(1 / x,y) \ 1)) = z * K(z * T(x \ 1,y),T(x,y)). [para(60(a,1),7587(a,2,2,2,1))]. 7589 T(x \ 1,y) * (z * (T(1 / x,y) \ 1)) = z * K(T(x,y),z * T(x \ 1,y)). [para(28(a,1),7588(a,2,2))]. 7590 (T(x \ 1,y) * K(y,z)) * (T(y,z) / (x * y)) = (K(y,z) * (T(y,z) / x)) / (x * y). [para(2749(a,1),7586(a,2,1))]. 7591 (T(x \ 1,y) * K(y,z)) * (T(y,z) / (x * y)) = (y / x) / (x * y). [para(5620(a,1),7590(a,2,1))]. 7593 ((x * y) \ T(y,z)) * (T(y,z) / (x * y)) = (y / x) / (x * y). [para(5705(a,1),7591(a,1,1))]. 7594 L(T(x,y * (y / z)),(1 / (y / z)) \ y,(1 / (y / z)) \ y) = T(x,1 / ((y * y) / z)). [para(5984(a,1),6994(a,1,1))]. 7595 L(T(x,y * (y / z)),y / (y \ z),(1 / (y / z)) \ y) = T(x,1 / ((y * y) / z)). [para(3510(a,1),7594(a,1,2))]. 7596 L(T(x,y * (y / z)),y / (y \ z),y / (y \ z)) = T(x,1 / ((y * y) / z)). [para(3510(a,1),7595(a,1,3))]. 7597 ((((1 / x) \ y) \ 1) * (((1 / x) \ y) \ 1)) / x = (x \ ((x * y) \ 1)) * (((1 / x) \ y) \ 1). [para(6911(a,1),3333(a,2,1))]. 7598 ((((1 / x) \ y) \ 1) * (((1 / x) \ y) \ 1)) / x = (x \ ((x * y) \ 1)) * ((y \ 1) * (x \ 1)). [para(3733(a,1),7597(a,2,2))]. 7599 ((((1 / x) \ y) \ 1) * (((1 / x) \ y) \ 1)) / x = x \ ((((x * y) \ 1) * (y \ 1)) / x). [hyper(272,a,1136,a(flip),b,7598,a),flip(a)]. 7600 ((((1 / x) \ y) \ 1) * (((1 / x) \ y) \ 1)) / x = x \ ((y \ (x \ (1 / y))) / x). [para(4627(a,1),7599(a,2,2,1))]. 7601 (((x \ 1) * (y \ 1)) * (((1 / y) \ x) \ 1)) / y = y \ ((x \ (y \ (1 / x))) / y). [para(3733(a,1),7600(a,1,1,1))]. 7602 (((x \ 1) * (y \ 1)) * ((x \ 1) * (y \ 1))) / y = y \ ((x \ (y \ (1 / x))) / y). [para(3733(a,1),7601(a,1,1,2))]. 7603 ((x \ (y \ 1)) * (x \ (y \ 1))) / x = x \ ((y \ (x \ (1 / y))) / x). [para(5856(a,1),7602(a,1,1))]. 7604 ((x * y) \ (1 / (x * y))) / x = x \ ((y \ (x \ (1 / y))) / x). [para(7505(a,1),7603(a,1,1))]. 7605 x * (x \ ((y \ (x \ (1 / y))) / x)) = (x \ 1) * (((x * y) \ 1) / y). [para(7604(a,1),7145(a,1,2))]. 7606 (x \ 1) * (((x * y) \ 1) / y) = (y \ (x \ (1 / y))) / x. [hyper(230,a,7605,a),flip(a)]. 7607 (x \ 1) * (((x * y) \ 1) / y) != z | (y \ (x \ (1 / y))) / x = z. [para(7605(a,1),230(a,1))]. 7609 x * (x * T((y \ (1 / y)) * (y \ (1 / y)),z)) = (x * x) * T(y \ ((y * y) \ (1 / y)),z). [para(3115(a,1),4826(a,1,2,1)),flip(a)]. 7610 x * (x * T((y \ (1 / y)) * (y \ (1 / y)),z)) = (x * x) * T(y \ (y \ (y \ (y \ 1))),z). [para(3562(a,1),7609(a,2,2,1,2))]. 7611 x * (x * T((y \ (1 / y)) * (y \ (1 / y)),z)) = (x * x) * (y \ (y \ (y \ (y \ 1)))). [para(6549(a,1),7610(a,2,2))]. 7612 x * (x * T((y \ (1 / y)) * (y \ (1 / y)),z)) = y \ (y \ (y \ (y \ (x * x)))). [hyper(272,a,6889,a(flip),b,7611,a),flip(a)]. 7614 x * (x * T((y \ (1 / y)) * (y \ (1 / y)),z)) = y \ (y \ (x * (y \ (y \ x)))). [para(4410(a,1),7612(a,2,2,2))]. 7615 (((x \ (y \ 1)) \ 1) \ 1) * (1 / ((x \ (y \ 1)) \ 1)) = (x \ (y \ 1)) * ((1 / x) / y). [hyper(272,a,165,a(flip),b,4897,a),flip(a)]. 7618 ((x \ (y \ 1)) \ 1) \ (((x \ (y \ 1)) \ 1) \ 1) = (x \ (y \ 1)) * ((1 / x) / y). [hyper(5029,a,7615,a)]. 7620 ((x \ (y \ 1)) \ 1) \ ((1 / x) / y) = (x \ (y \ 1)) * ((1 / x) / y). [para(4894(a,1),7618(a,1,2))]. 7621 (x \ (y \ 1)) * ((1 / x) / y) = x \ (y \ ((y * x) \ 1)). [hyper(7430,a,7620,a),flip(a)]. 7622 (((1 / x) / y) \ 1) \ (x \ (y \ 1)) = x \ (y \ ((y * x) \ 1)). [hyper(7142,a,7621,a)]. 7623 ((x / (x \ y)) \ y) \ (z * (y / (x / (x \ y)))) = (x \ y) \ ((x \ y) \ (((x / (x \ y)) \ y) * z)). [hyper(3062,a,5897,a),flip(a)]. 7624 x * (x * (y * L(z * (1 / (x * x)),x,x))) = ((x * x) * (1 / ((x * (x * y)) * z))) \ 1. [para(87(a,1),6475(a,1,1,2,2,1)),flip(a)]. 7625 x * (x * (y * L(z * (1 / (x * x)),x,x))) = ((x * x) / ((x * (x * y)) * z)) \ 1. [para(3329(a,1),7624(a,2,1))]. 7626 x * (x * (y * L(z * (1 / (x * x)),x,x))) = x \ (x \ ((x * (x * y)) * z)). [hyper(272,a,3455,a(flip),b,7625,a),flip(a)]. 7627 x * (x * (y * L(z * (x \ (x \ 1)),x,x))) = x \ (x \ ((x * (x * y)) * z)). [para(3009(a,1),7626(a,1,2,2,2,1,2))]. 7628 x * (x * (y * L(x \ (x \ z),x,x))) = x \ (x \ ((x * (x * y)) * z)). [para(4382(a,1),7627(a,1,2,2,2,1))]. 7629 x \ (x \ ((x * (x * y)) * z)) = x * (x * (y * ((x * x) \ z))). [para(254(a,1),7628(a,1,2,2,2)),flip(a)]. 7630 (1 * (((((x \ 1) \ 1) \ y) * z) / x)) / (1 / x) = (x \ 1) * ((y * (z / (x \ 1))) / x). [para(72(a,1),6490(a,2,2,2))]. 7632 (1 * (((((x \ 1) \ 1) \ y) * z) / x)) / (1 / x) = (x \ 1) * (x * ((x \ y) * z)). [para(1164(a,1),7630(a,2,2))]. 7633 (1 * (((((x \ 1) \ 1) \ y) * z) / x)) / (1 / x) = x * ((1 / x) * ((x \ y) * z)). [hyper(272,a,3556,a(flip),b,7632,a),flip(a)]. 7634 x * ((1 / x) * ((x \ y) * z)) = ((x \ 1) * y) * L(z,x,x). [hyper(58,a,6933,a(flip),b,7633,a),flip(a)]. 7635 (x * ((1 / x) * (x \ y))) \ (((x \ 1) * y) * L(z,x,x)) = L(L(z,x \ y,1 / x),(1 / x) * (x \ y),x). [para(7634(a,1),427(a,1,2))]. 7636 (1 / x) * ((T(y,x \ 1) / (1 / x)) * T(y,x \ 1)) = (y * x) * (y * (1 / x)). [para(2791(a,1),6531(a,2,1))]. 7637 (1 / x) * ((((x \ 1) \ 1) * y) * T(y,x \ 1)) = (y * x) * (y * (1 / x)). [para(4562(a,1),7636(a,1,2,1))]. 7638 (1 / x) * ((y / (1 / x)) * y) = (y * x) * (y * (1 / x)). [para(4561(a,1),7637(a,1,2))]. 7639 (x * y) * (x * (1 / y)) = y * ((x * (1 / y)) * x). [hyper(6437,a,7638,a),flip(a)]. 7641 x * ((y * x) * (y * (1 / x))) = (x * y) * (x * (y / x)). [para(7638(a,1),7115(a,1,2))]. 7642 (1 / x) * ((y * x) * (y * x)) = x * ((y * x) * (y * (1 / x))). [para(7638(a,1),7202(a,1,2)),flip(a)]. 7643 x * ((y * x) * (y * (1 / x))) = (y / (1 / x)) * y. [hyper(5038,a,7642,a),flip(a)]. 7644 (x * y) * (x * (y / x)) = (y / (1 / x)) * y. [hyper(58,a,7641,a(flip),b,7643,a)]. 7645 (x \ y) * (y * ((T(x,y) \ 1) / y)) = ((T(x,y) \ 1) / (1 / y)) * (T(x,y) \ 1). [para(3006(a,1),7644(a,1,1))]. 7646 ((T(x,y) \ 1) / (1 / y)) * (T(x,y) \ 1) = (x \ y) * ((x \ y) * (1 / y)). [para(3540(a,1),7645(a,1,2)),flip(a)]. 7647 (((x \ 1) * T(y,x)) \ 1) * (T(y,x) \ 1) = (y \ x) * ((y \ x) * (1 / x)). [para(4150(a,1),7646(a,1,1))]. 7648 T(x,y) \ ((y \ 1) \ (1 / T(x,y))) = (x \ y) * ((x \ y) * (1 / y)). [hyper(4628,a,7647,a)]. 7649 (x \ y) * ((x \ y) * (1 / y)) != z | (y \ T(x,y)) \ (1 / T(x,y)) = z. [para(7648(a,1),5101(a,1))]. 7650 (x * (y * ((x \ (z / u)) / y))) * ((z / u) \ z) = (x * u) * (y * (((x * u) \ z) / y)). [para(74(a,1),7484(a,2,2,2,1,1,2))]. 7651 (x * (y * ((x \ (z / u)) / y))) * u = (x * u) * (y * (((x * u) \ z) / y)). [para(74(a,1),7650(a,1,2))]. 7652 ((x * y) * (z * (((x * y) \ u) / z))) / u = K(z,u / ((x * z) * y)). [para(7651(a,1),7385(a,1,1))]. 7653 K(x,y / ((z * u) * x)) = K(x,y / ((z * x) * u)). [hyper(58,a,6822,a(flip),b,7652,a)]. 7654 K(x,y / (((x \ z) * u) * x)) = K(x,y / (z * u)). [hyper(272,a,6261,a(flip),b,7653,a),flip(a)]. 7655 K(x,y / ((z * x) * u)) = K(x,y / (x * (z * u))). [hyper(58,a,5843,a(flip),b,7653,a),flip(a)]. 7656 K(x,y / ((x * z) * u)) = K(x,y / (x * (z * u))). [hyper(58,a,6262,a(flip),b,7655,a)]. 7657 x * K(x,y / (x * (z * u))) = T(x,y / ((x * z) * u)). [hyper(114,a,7656,a(flip),b,2672,a(flip))]. 7658 T(x,y / ((x * z) * u)) = T(x,y / (x * (z * u))). [hyper(2737,a,7657,a),flip(a)]. 7659 (1 / x) * (T(y,x) \ (1 / (T(y,x) * (1 / x)))) = ((y \ 1) * x) * (((x \ 1) \ y) \ 1). [para(4283(a,1),7511(a,1,1)),flip(a)]. 7660 (1 / x) * (T(y,x) \ (1 / (T(y,x) * (1 / x)))) = ((y \ 1) * x) * ((y \ 1) * (1 / x)). [para(4104(a,1),7659(a,2,2))]. 7661 (1 / x) * (T(y,x) \ (1 / (T(y,x) * (1 / x)))) = x * (((y \ 1) * (1 / x)) * (y \ 1)). [hyper(272,a,7639,a(flip),b,7660,a),flip(a)]. 7662 (1 / x) * (T(y,x) \ (1 / (T(y,x) * (1 / x)))) = x * ((y \ (1 / x)) / y). [para(4517(a,1),7661(a,2,2))]. 7663 (1 / x) * (T(y,x) \ ((x \ 1) \ (1 / T(y,x)))) = x * ((y \ (1 / x)) / y). [para(4149(a,1),7662(a,1,2,2))]. 7664 (1 / x) * ((x \ T(y,x)) \ (1 / T(y,x))) = x * ((y \ (1 / x)) / y). [para(5100(a,1),7663(a,1,2))]. 7665 T(L(L(x * K(y,x),y,x),z,u) * y,x * K(y,x)) = L(x * K(y,x),z,u) * T(y,x). [para(2764(a,1),2875(a,1,1,1,1))]. 7666 T(x * L(L(y,z,u),x,y),y * K(x,y)) = L(y * K(x,y),z,u) * T(x,y). [para(6913(a,1),7665(a,1,1))]. 7667 T(x * L(L(y,z,u),x,y),y * K(x,y)) = T(x,y) * L(y,z,u). [hyper(272,a,3719,a(flip),b,7666,a),flip(a)]. 7668 T(x * L(L(y,x,y),z,u),y * K(x,y)) = T(x,y) * L(y,z,u). [para(25(a,1),7667(a,1,1,2))]. 7669 T(x * L(L(y,x,y),z,u),T(y,x)) = T(x,y) * L(y,z,u). [hyper(58,a,5331,a(flip),b,7668,a)]. 7670 T(x * L(L(y,x,y),z,u),y) = T(x,y) * L(y,z,u). [hyper(58,a,6061,a(flip),b,7669,a)]. 7671 K(x,L(L(x,y,x),z,u) / (y \ 1)) * (y \ (T(y,x) * L(x,z,u))) = L(L(x,y,x),z,u). [para(7670(a,1),4069(a,1,2,2))]. 7672 K(x,L(L(x,y,x),z,u) / (y \ 1)) * (K(y,x) * L(x,z,u)) = L(L(x,y,x),z,u). [para(2748(a,1),7671(a,1,2))]. 7673 K(x,(y \ 1) \ L(L(x,y,x),z,u)) * (K(y,x) * L(x,z,u)) = L(L(x,y,x),z,u). [para(5319(a,1),7672(a,1,1))]. 7674 ((x * (T(y \ 1,z) \ 1)) \ 1) / (T(y \ 1,z) \ 1) = T(1 / y,z) * (x \ T(1 / y,z)). [para(5438(a,1),5448(a,2,2,2))]. 7675 ((1 / T(x \ 1,y)) * (z * (T(x \ 1,y) \ 1))) \ 1 = T(1 / x,y) * (z \ T(1 / x,y)). [hyper(58,a,4133,a(flip),b,7674,a)]. 7676 ((T(1 / x,y) \ 1) * (z * (T(x \ 1,y) \ 1))) \ 1 = T(1 / x,y) * (z \ T(1 / x,y)). [para(1613(a,1),7675(a,1,1,1))]. 7677 K(R(x,K(y * z,x) * y,z),u \ x) = K(x,((y * z) * R(x,y,z)) / ((u * y) * z)). [hyper(58,a,6580,a(flip),b,7382,a),flip(a)]. 7679 T((x \ 1) * R((x \ 1) \ 1,y,z),R(u,x,w)) = T(x \ 1,u) * R(T(x \ 1,u) \ 1,y,z). [para(7407(a,1),7408(a,1,2,1,1)),flip(a)]. 7680 T((x \ 1) * R((x \ 1) \ 1,y,z),R(u,x,w)) = T((x \ 1) * R((x \ 1) \ 1,y,z),u). [hyper(272,a,1569,a(flip),b,7679,a),flip(a)]. 7682 T((x \ 1) * R((x \ 1) \ 1,y,z),R(u,x,w)) = T(x \ R(x,y,z),u). [para(987(a,1),7680(a,2,1))]. 7683 T(x \ R(x,y,z),R(u,x,w)) = T(x \ R(x,y,z),u). [para(987(a,1),7682(a,1,1))]. 7684 K(R(x,y,z),y \ R(y,u,w)) = (y \ R(y,u,w)) / T(y \ R(y,u,w),x). [para(7683(a,1),2670(a,2,2))]. 7685 K(R(x,y,z),y \ R(y,u,w)) != v5 | K(x,y \ R(y,u,w)) = v5. [para(7684(a,2),2688(a,1))]. 7686 K(R(x \ (x * y),z,u),R(y / w,w,K(x,y)) \ (x \ (x * y))) = K(R(y,z,u),w * K(x,y)). [para(4(a,1),6882(a,2,1,1))]. 7687 K(R(x \ (x * y),z,u),R(y / w,w,K(x,y)) \ (x \ (x * y))) = K(R(y,z,u),w). [hyper(272,a,6735,a(flip),b,7686,a),flip(a)]. 7689 K(R(x,y,z),R(x / u,u,K(w,x)) \ (w \ (w * x))) = K(R(x,y,z),u). [para(4(a,1),7687(a,1,1,1))]. 7690 K(R(x,y,z),R(x / u,u,K(w,x)) \ x) = K(R(x,y,z),u). [para(4(a,1),7689(a,1,2,2))]. 7691 K(R(x,y,z),R(x / u,u,L(K(w,x),v5,v6)) \ x) = K(R(x,y,z),u). [para(4818(a,1),7690(a,1,2,1,3))]. 7692 (x * (y * (x \ z))) * ((x \ (x * (y * (x \ z)))) \ 1) = L(x,(x * y) * T(z,x),(x * y) * T(z,x)). [para(1151(a,1),7193(a,1,3)),flip(a)]. 7693 (x * ((x \ y) * z)) * ((x \ (x * ((x \ y) * z))) \ 1) = L(x,y * T(x * z,x),y * T(x * z,x)). [para(1163(a,1),7194(a,1,3)),flip(a)]. 7694 (x * ((x * x) \ y)) \ (((x \ 1) * y) * L(z,x,x)) = L(L(z,x \ y,1 / x),(1 / x) * (x \ y),x). [para(3261(a,1),7635(a,1,1,2))]. 7695 L(L(x,y \ z,1 / y),(1 / y) * (y \ z),y) = ((y \ 1) * z) \ (((y \ 1) * z) * L(x,y,y)). [para(3527(a,1),7694(a,1,1)),flip(a)]. 7696 L(L(x,y \ z,1 / y),(1 / y) * (y \ z),y) = L(x,y,y). [hyper(272,a,4,a(flip),b,7695,a),flip(a)]. 7698 L(L(x,y \ z,y),y * (y \ z),y \ 1) = L(x,y,y). [hyper(58,a,7256,a(flip),b,7696,a)]. 7699 L(L(x,y \ z,y),z,y \ 1) = L(x,y,y). [para(5(a,1),7698(a,1,2))]. 7701 ((1 / (x \ 1)) \ y) \ ((x \ 1) * ((y * (x \ 1)) \ 1)) = ((x * (x \ y)) * ((1 / (x \ 1)) \ y)) \ 1. [para(72(a,1),4050(a,1,1,1,2,1)),flip(a)]. 7705 ((1 / (x \ 1)) \ y) \ ((x \ 1) * ((y * (x \ 1)) \ 1)) = (y * ((1 / (x \ 1)) \ y)) \ 1. [para(5(a,1),7701(a,2,1,1))]. 7708 ((1 / (x \ 1)) \ y) \ ((x \ 1) * ((y * (x \ 1)) \ 1)) = (y * (x \ y)) \ 1. [para(72(a,1),7705(a,2,1,2,1))]. 7712 (x \ y) \ ((x \ 1) * ((y * (x \ 1)) \ 1)) = (y * (x \ y)) \ 1. [para(72(a,1),7708(a,1,1,1))]. 7714 (x \ y) \ (x * ((y * x) \ 1)) = (y * (x \ y)) \ 1. [para(4808(a,1),7712(a,1,2))]. 7715 ((x \ y) \ 1) \ (y \ (y / x)) = (x * (y \ x)) \ 1. [hyper(58,a,6575,a,b,7714,a)]. 7716 T(x,x \ 1) * T(x * (y * T(x,x \ 1)),x \ 1) = (x * (x * T(x,x \ 1))) * y. [para(3749(a,1),4512(a,1,1)),flip(a)]. 7717 T(x,x \ 1) * T(x * (y * T(x,x \ 1)),x \ 1) = (x * T(x * x,x)) * y. [para(2771(a,1),7716(a,2,1,2))]. 7719 T(x,x \ 1) * T(x * (y * T(x,x \ 1)),x \ 1) = ((x * x) * x) * y. [hyper(272,a,204,a(flip),b,7717,a),flip(a)]. 7720 T(x,x \ 1) * T((x * y) / (x \ 1),x \ 1) = ((x * x) * x) * y. [para(4067(a,1),7719(a,1,2,1))]. 7721 T(x,x \ 1) * ((x \ 1) \ (x * y)) = ((x * x) * x) * y. [para(100(a,1),7720(a,1,2))]. 7722 ((x * y) * x) * x = ((x * x) * x) * y. [hyper(6763,a,7721,a)]. 7723 ((x * x) * x) * y = (x * x) * (x * y). [hyper(3255,a,7722,a),flip(a)]. 7724 (((1 / x) * (1 / x)) * (1 / x)) * y = (x \ (y / x)) / x. [hyper(272,a,5880,a(flip),b,7723,a),flip(a)]. 7725 (x * x) * (x * (y * (x \ (x \ (x \ 1))))) = T(y,x * (x * x)). [hyper(58,a,6582,a(flip),b,7723,a),flip(a)]. 7726 ((x \ 1) * (x \ (1 / x))) * y = (x \ (y / x)) / x. [para(4880(a,1),7724(a,1,1))]. 7727 (x \ (x \ (1 / x))) * y = (x \ (y / x)) / x. [para(4286(a,1),7726(a,1,1))]. 7728 (((1 / x) * y) * ((1 / x) * y)) / x = y * ((x \ (y / x)) / x). [para(7726(a,1),7065(a,2,2))]. 7729 (x \ (((x \ (x \ (1 / x))) * (y / (x \ (x \ (1 / x))))) / x)) / x = y / (1 / (x \ (x \ (1 / x)))). [hyper(3591,a,7727,a),flip(a)]. 7730 x * (x * (y \ (y \ (1 / y)))) = (y \ ((x * x) / y)) / y. [hyper(3013,a,7727,a)]. 7731 ((x * x) \ ((x * x) \ (1 / (x * x)))) * y = x \ (x \ ((x * x) \ (y / (x * x)))). [hyper(272,a,3009,a(flip),b,7727,a),flip(a)]. 7732 (x \ ((y * y) / x)) / x = y * (x \ ((x \ y) / x)). [para(7133(a,1),7730(a,1,2)),flip(a)]. 7733 (x \ (1 / x)) * ((1 / x) * (y * y)) = y * (x \ ((x \ y) / x)). [hyper(58,a,5056,a,b,7732,a)]. 7734 (x * x) * (x * ((x * x) \ (y / x))) = T(y,x * (x * x)). [para(6850(a,1),7725(a,1,2,2))]. 7735 (x * x) * ((x \ 1) * (y / x)) = T(y,x * (x * x)). [para(3527(a,1),7734(a,1,2))]. 7736 T(x,x \ 1) * (y / x) = T(y,x * (x * x)). [hyper(58,a,4523,a(flip),b,7735,a)]. 7737 T(x,y * (y * y)) = T(x,y \ 1). [hyper(58,a,3786,a(flip),b,7736,a),flip(a)]. 7738 ((x \ y) * (x \ y)) / x = y * ((x \ (y / x)) / x). [para(6267(a,1),7728(a,1,1))]. 7739 ((x \ y) / x) * (y / x) = y * ((x \ (y / x)) / x). [hyper(58,a,4040,a(flip),b,7738,a)]. 7740 (x / y) * (((1 / y) \ ((x / y) / (1 / y))) / (1 / y)) = (T(x,y) / (1 / y)) * ((x / y) / (1 / y)). [para(2920(a,2),7739(a,1,1,1)),flip(a)]. 7741 (((1 / x) \ (x \ y)) / (1 / x)) * (x * (y * (1 / x))) = (x \ y) * (((1 / x) \ ((x \ y) / (1 / x))) / (1 / x)). [para(3588(a,1),7739(a,1,2))]. 7742 (x \ (1 / x)) * (y * (y * (1 / x))) = y * (x \ ((x \ y) / x)). [para(2956(a,1),7733(a,1,2))]. 7743 (x \ 1) * (x \ (y * (y * (1 / x)))) = y * (x \ ((x \ y) / x)). [hyper(58,a,3787,a(flip),b,7742,a)]. 7744 (x * x) \ (x \ (y * y)) = y * (x \ ((x \ y) / x)). [hyper(58,a,7490,a(flip),b,7743,a)]. 7745 x * (T(y,z) \ ((T(y,z) \ x) / T(y,z))) = (y * y) \ (T(y,z) \ (x * x)). [para(3155(a,1),7744(a,1,1)),flip(a)]. 7746 x * (T(y,y \ 1) \ ((T(y,y \ 1) \ x) / T(y,y \ 1))) = (y * y) \ (T(x * x,y) * (1 / y)). [para(4280(a,1),7745(a,2,2))]. 7747 ((x * x) \ ((x * x) \ (x \ (x \ 1)))) * y = x \ (x \ ((x * x) \ (y / (x * x)))). [para(3009(a,1),7731(a,1,1,2,2))]. 7748 (x \ (x \ (x \ (x \ (x \ (x \ 1)))))) * y = x \ (x \ ((x * x) \ (y / (x * x)))). [para(3633(a,1),7747(a,1,1))]. 7749 (x \ (x \ (x \ (x \ (x \ (x \ 1)))))) * y = x \ (x \ (x \ (x \ ((x * x) \ y)))). [para(3634(a,1),7748(a,2,2,2))]. 7750 x * (x * (y \ (y \ (y \ (y \ (y \ (y \ 1))))))) = y \ (y \ (y \ (y \ ((y * y) \ (x * x))))). [hyper(3013,a,7749,a)]. 7751 (x \ (((x \ (x \ (1 / x))) * (x * ((x * y) * x))) / x)) / x = y / (1 / (x \ (x \ (1 / x)))). [para(7273(a,1),7729(a,1,1,2,1,2))]. 7752 (x \ (((x \ ((x * ((x * y) * x)) / x)) / x) / x)) / x = y / (1 / (x \ (x \ (1 / x)))). [para(7727(a,1),7751(a,1,1,2,1))]. 7753 (x \ (((x \ T((x * y) * x,x)) / x) / x)) / x = y / (1 / (x \ (x \ (1 / x)))). [para(2774(a,2),7752(a,1,1,2,1,1,2))]. 7754 (x \ ((L(x * y,x,x) / x) / x)) / x = y / (1 / (x \ (x \ (1 / x)))). [para(2918(a,1),7753(a,1,1,2,1,1))]. 7755 (x \ ((((x \ 1) \ y) / x) / x)) / x = y / (1 / (x \ (x \ (1 / x)))). [para(2002(a,1),7754(a,1,1,2,1,1))]. 7756 (x \ ((x * (y / x)) / x)) / x = y / (1 / (x \ (x \ (1 / x)))). [para(3481(a,1),7755(a,1,1,2,1))]. 7757 x / (1 / (y \ (y \ (1 / y)))) = (y \ (y \ x)) / y. [para(2805(a,1),7756(a,1,1,2)),flip(a)]. 7758 x / (y * ((y * 1) * y)) = (y \ (y \ x)) / y. [para(7273(a,1),7757(a,1,2))]. 7759 (x \ (x \ y)) / x = y / (x * (x * x)). [para(3(a,1),7758(a,1,2,2,1)),flip(a)]. 7760 x / ((y * y) * ((y * y) * (y * y))) = y \ (y \ ((y * y) \ ((y * y) \ x))). [hyper(3062,a,7759,a),flip(a)]. 7761 x / ((y * y) * ((y * y) * (y * y))) = y \ (y \ (y \ (y \ (y \ (y \ x))))). [para(3633(a,1),7760(a,2,2,2))]. 7762 x / ((y * y) * (y * (y * (y * y)))) = y \ (y \ (y \ (y \ (y \ (y \ x))))). [para(2956(a,1),7761(a,1,2,2))]. 7763 x / (y * (y * (((y * y) * y) * y))) = y \ (y \ (y \ (y \ (y \ (y \ x))))). [para(4430(a,1),7762(a,1,2))]. 7764 x / (y * (y * (y * (y * (y * y))))) = y \ (y \ (y \ (y \ (y \ (y \ x))))). [para(3279(a,1),7763(a,1,2,2,2))]. 7765 (x \ (x \ (x \ (x \ (x \ (x \ y)))))) * T(z,x \ (x \ (x \ (x \ (x \ (x \ y)))))) = z * (y / (x * (x * (x * (x * (x * x)))))). [hyper(114,a,7764,a,b,207,a),flip(a)]. 7766 (x / y) * (((1 / y) \ ((x / y) / (1 / y))) / (1 / y)) = ((y \ 1) \ x) * ((x / y) / (1 / y)). [para(3350(a,1),7740(a,2,1))]. 7767 (x / y) * (((1 / y) \ ((x / y) / (1 / y))) / (1 / y)) = ((y \ 1) \ x) * L(x,y,y). [para(3105(a,1),7766(a,2,2))]. 7768 (x / y) * (((1 / y) \ ((x / y) / (1 / y))) / (1 / y)) = L((y * x) * x,y,y). [hyper(272,a,5941,a(flip),b,7767,a),flip(a)]. 7769 (x / y) * (((1 / y) \ ((x / y) / (1 / y))) / (1 / y)) = x / (1 / (x * y)). [hyper(272,a,4654,a(flip),b,7768,a),flip(a)]. 7770 (x / y) * (((1 / y) \ L(x,y,y)) / (1 / y)) = x / (1 / (x * y)). [para(3105(a,1),7769(a,1,2,1,2))]. 7771 (x / y) * ((y * x) / (1 / y)) = x / (1 / (x * y)). [para(2970(a,1),7770(a,1,2,1))]. 7772 (x / y) * (y * (x * y)) = x / (1 / (x * y)). [para(3589(a,1),7771(a,1,2))]. 7773 x * (T(y,y \ 1) \ ((T(y,y \ 1) \ x) / T(y,y \ 1))) = (y \ (y \ T(x * x,y))) / y. [hyper(272,a,3571,a(flip),b,7746,a),flip(a)]. 7774 x * (T(y,y \ 1) \ ((T(y,y \ 1) \ x) / T(y,y \ 1))) = y \ ((y * y) \ (x * x)). [hyper(272,a,7473,a(flip),b,7773,a),flip(a)]. 7775 x * (T(y,y \ 1) \ ((T(x,y) * (1 / y)) / T(y,y \ 1))) = y \ ((y * y) \ (x * x)). [para(4280(a,1),7774(a,1,2,2,1))]. 7776 x * (T((T(x,y) * (1 / y)) / T(y,y \ 1),y) * (1 / y)) = y \ ((y * y) \ (x * x)). [para(4280(a,1),7775(a,1,2))]. 7777 x * ((T(T(x,y) * (1 / y),y) * (1 / y)) * (1 / y)) = y \ ((y * y) \ (x * x)). [para(4035(a,1),7776(a,1,2,1))]. 7778 x * ((((y \ 1) * T(x,y)) * (1 / y)) * (1 / y)) = y \ ((y * y) \ (x * x)). [para(3127(a,1),7777(a,1,2,1,1))]. 7779 x * (((y \ 1) * (T(x,y) / y)) * (1 / y)) = y \ ((y * y) \ (x * x)). [para(4676(a,1),7778(a,1,2,1))]. 7780 x * ((y \ (y \ x)) * (1 / y)) = y \ ((y * y) \ (x * x)). [para(3146(a,1),7779(a,1,2,1))]. 7781 x \ ((x * x) \ (y * y)) = y * ((x * x) \ (y / x)). [para(4031(a,1),7780(a,1,2)),flip(a)]. 7782 x \ (y * (x \ (x \ y))) = y * ((x * x) \ (y / x)). [para(4384(a,1),7781(a,1,2))]. 7783 x * (x * T((y \ (1 / y)) * (y \ (1 / y)),z)) = y \ (x * ((y * y) \ (x / y))). [para(7782(a,1),7614(a,2,2))]. 7784 x * (x * T((y \ ((1 / y) / y)) / y,z)) = y \ (x * ((y * y) \ (x / y))). [para(4541(a,1),7783(a,1,2,2,1))]. 7785 x * (x * T((y \ (y \ (y \ 1))) / y,z)) = y \ (x * ((y * y) \ (x / y))). [para(3132(a,1),7784(a,1,2,2,1,1,2))]. 7786 x * (x * (y \ (y \ (y \ (y \ 1))))) = y \ (x * ((y * y) \ (x / y))). [para(100(a,1),7785(a,1,2,2))]. 7787 x \ (y * ((x * x) \ (y / x))) = y * (x \ (x \ (x \ (x \ y)))). [para(6889(a,1),7786(a,1,2)),flip(a)]. 7788 T((x * (y \ 1)) \ 1,y \ 1) * ((1 / y) * ((x * (y \ 1)) \ 1)) = ((x * (y \ 1)) \ 1) * (T(x,y \ 1) \ 1). [para(1967(a,1),4877(a,1,1))]. 7789 (T(x,y) \ (L(y,z,z) \ x)) * ((L(y,z,z) \ x) / T(x,y)) = ((x * L(y,z,z)) \ T(x,y)) * (L(y,z,z) \ 1). [para(5708(a,1),6120(a,2,1))]. 7790 L(x * (1 / T(y / z,y)),T(y / z,y),T(y / z,y)) = L(x,T(y / z,y),T(y / z,y)) * (y \ z). [para(3(a,1),6148(a,1,1,2))]. 7791 T(K(x,y) * z,u) * T(K(y,x),T(w,T(K(x,y) * z,u))) = K(y,T(x,w)) * T(z * K(x,y),u). [hyper(272,a,5254,a(flip),b,6387,a),flip(a)]. 7792 T(K(x,y) * z,u) * K(y,T(x,T(w,T(K(x,y) * z,u)))) = K(y,T(x,w)) * T(z * K(x,y),u). [para(5238(a,2),7791(a,1,2))]. 7793 (T(1 / x,y) \ x) * (((x * T(x,y)) \ ((x \ 1) \ y)) * z) = ((y / x) \ ((x \ 1) \ y)) * ((y / x) * z). [para(7423(a,1),6974(a,1,1))]. 7794 ((1 / (x / y)) * z) * ((x / y) \ ((x / y) \ (y \ x))) = (((x / y) \ 1) * z) * (K(y,y \ x) / (x / y)). [para(5580(a,1),7546(a,1,2)),flip(a)]. 7795 ((1 / (x / y)) * z) * ((x / y) \ ((x / y) \ (y \ x))) = (((x / y) \ 1) * z) * (1 / (y \ x)). [para(2874(a,1),7794(a,2,2))]. 7796 ((1 / (x / y)) * z) * ((x / y) \ K(y,y \ x)) = (((x / y) \ 1) * z) * (1 / (y \ x)). [para(2838(a,1),7795(a,1,2,2))]. 7797 ((1 / (x / y)) * z) * ((y \ x) \ 1) = (((x / y) \ 1) * z) * (1 / (y \ x)). [para(4504(a,1),7796(a,1,2))]. 7798 (((x / y) \ 1) * z) * (1 / (y \ x)) = ((y / x) * z) * (x \ y). [hyper(58,a,7435,a(flip),b,7797,a),flip(a)]. 7799 ((x \ 1) \ (y \ 1)) \ (z * (1 / (y \ x))) = ((y / x) * z) * (x \ y). [hyper(58,a,7491,a,b,7798,a)]. 7800 ((x * ((1 / x) * y)) / (1 / x)) * (x * (y * (1 / x))) = (x \ y) * (((1 / x) \ ((x \ y) / (1 / x))) / (1 / x)). [para(3122(a,1),7741(a,1,1,1))]. 7801 (x \ (1 / (y \ 1))) * ((1 / y) * ((x * (y \ 1)) \ 1)) = ((x * (y \ 1)) \ 1) * (T(x,y \ 1) \ 1). [para(4624(a,1),7788(a,1,1))]. 7802 ((x * (y \ 1)) \ 1) * (T(x,y \ 1) \ 1) = (x \ y) * ((1 / y) * ((x * (y \ 1)) \ 1)). [para(72(a,1),7801(a,1,1,2)),flip(a)]. 7804 ((x * (y \ 1)) \ 1) * (T(x,y \ 1) \ 1) = (x \ y) * ((x \ y) * (1 / y)). [para(6897(a,1),7802(a,2,2))]. 7805 (T(x,y) \ (L(y,z,z) \ x)) * ((L(y,z,z) \ x) / T(x,y)) = L(T(y \ 1,x),z,z) * (L(y,z,z) \ 1). [para(6154(a,1),7789(a,2,1))]. 7806 (T(x,y) \ (L(y,z,z) \ x)) * ((L(y,z,z) \ x) / T(x,y)) = L(T(y \ 1,x) * (y \ 1),z,z). [hyper(272,a,5947,a(flip),b,7805,a),flip(a)]. 7807 (T(x,y) \ (L(y,z,z) \ x)) * ((L(y,z,z) \ x) / T(x,y)) = L(y \ T(1 / y,x),z,z). [para(689(a,1),7806(a,2,1))]. 7808 (L(x,y,y) \ 1) * ((L(x,y,y) \ z) / T(z,x)) = L(x \ T(1 / x,z),y,y). [para(5981(a,1),7807(a,1,1))]. 7809 (L(x,y,y) \ 1) * ((z * L(x,y,y)) \ T(z,x)) = L(x \ T(1 / x,z),y,y). [para(5708(a,1),7808(a,1,2))]. 7811 (L(x,y,y) \ 1) * L(T(x \ 1,z),y,y) = L(x \ T(1 / x,z),y,y). [para(6154(a,1),7809(a,1,2))]. 7812 (x \ y) * (((1 / x) \ ((x \ y) / (1 / x))) / (1 / x)) = (x * (((1 / x) * y) * x)) * (x * (y * (1 / x))). [para(3589(a,1),7800(a,1,1)),flip(a)]. 7813 (x \ y) * (((1 / x) \ ((x \ y) / (1 / x))) / (1 / x)) = (y * x) * (x * (y * (1 / x))). [para(186(a,1),7812(a,2,1))]. 7814 (x \ y) * (((1 / x) \ ((x \ y) / (1 / x))) / (1 / x)) = y / (1 / (y * x)). [hyper(272,a,6168,a(flip),b,7813,a),flip(a)]. 7815 (x \ y) * (((1 / x) \ (x * (y * (1 / x)))) / (1 / x)) = y / (1 / (y * x)). [para(3588(a,1),7814(a,1,2,1,2))]. 7816 (x \ y) * ((x * ((x \ 1) \ (y * (1 / x)))) / (1 / x)) = y / (1 / (y * x)). [para(725(a,1),7815(a,1,2,1))]. 7817 (x \ y) * ((x * (x * (y / x))) / (1 / x)) = y / (1 / (y * x)). [para(3835(a,1),7816(a,1,2,1,2))]. 7818 (x \ y) * ((y / (1 / x)) / (1 / x)) = y / (1 / (y * x)). [para(3586(a,1),7817(a,1,2,1))]. 7819 (x \ y) * (((1 / x) * (1 / x)) \ y) = y / (1 / (y * x)). [para(3249(a,1),7818(a,1,2))]. 7820 (x \ y) * (((x \ 1) * (x \ 1)) \ y) = y / (1 / (y * x)). [para(4115(a,1),7819(a,1,2,1))]. 7821 (x \ y) * ((x \ (1 / x)) \ y) = y / (1 / (y * x)). [para(684(a,1),7820(a,1,2,1))]. 7822 (x \ y) * (x * ((x \ 1) \ y)) = y / (1 / (y * x)). [para(4045(a,1),7821(a,1,2))]. 7823 (x * (y * z)) \ ((x * y) * ((L(z,y,x) \ z) * L(z,y,x))) = T(a(x,y,z),(x * y) \ (x * (y * z))). [para(13(a,2),1458(a,1,2,2,2))]. 7824 T(a(x,y,z),(x * y) \ (x * (y * z))) = (x * (y * z)) \ ((x * y) * z). [para(2493(a,1),7823(a,1,2,2)),flip(a)]. 7825 T(a(x,y,z),(x * y) \ (x * (y * z))) = a(x,y,z). [hyper(272,a,9,a,b,7824,a),flip(a)]. 7826 T(a(x,y,z),L(z,y,x)) = a(x,y,z). [para(13(a,2),7825(a,1,2))]. 7827 T(L(x,y,z),a(z,y,x)) = L(x,y,z). [hyper(49,a,7826,a)]. 7828 T(x,a(y,z,x)) = x. [hyper(132,a,7827,a)]. 7829 T(a(x,y,z),z) = a(x,y,z). [hyper(49,a,7828,a)]. 7830 a(x,y,z) * z = z * a(x,y,z). [hyper(114,a,7828,a(flip),b,17,a(flip))]. 7831 x * (a(y,z,x) \ 1) = a(y,z,x) \ x. [hyper(112,a,7828,a(flip),b,2843,a(flip)),flip(a)]. 7833 a(x \ 1,y,z) \ z = z * (L(x,z,y) \ x). [para(2533(a,2),7831(a,1,2)),flip(a)]. 7834 L(x \ 1,1 / y,1 / y) \ (((x \ 1) * (1 / y)) * z) = L(y \ z,(1 / y) \ 1,((y \ 1) \ x) \ 1). [para(74(a,1),4129(a,1,1,1)),flip(a)]. 7835 L(x \ 1,1 / y,1 / y) \ (((x \ 1) * (1 / y)) * z) = L(y \ z,y,((y \ 1) \ x) \ 1). [para(74(a,1),7834(a,2,2))]. 7836 (K(x,y) * (R(T(y,z),u,w) * (K(y,x) * v5))) / (K(y,x) \ (R(T(y,z),u,w) * v5)) = R(K(y,x),R(T(y,z),u,w),v5). [para(3882(a,1),6887(a,1,1))]. 7837 (R(T(x,y),z,u) * w) / (K(x,v5) \ (R(T(x,y),z,u) * w)) = R(K(x,v5),R(T(x,y),z,u),w). [para(7227(a,1),7836(a,1,1))]. 7838 R(K(x,y),R(T(x,z),u,w),v5) = K(x,y). [hyper(280,a,7837,a),flip(a)]. 7841 R(K(x,y),R(x,z,u),w) = K(x,y). [para(97(a,1),7838(a,1,2,1))]. 7842 K(x,(R(x,y,z) * u) / w) = K(x,R(x,y,z) / (w / u)). [hyper(58,a,7343,a(flip),b,7841,a)]. 7843 (x * (y * z)) * ((u * ((x * (y * z)) \ (x * y))) / u) = (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)). [para(87(a,1),1402(a,1,2,1,2,1))]. 7844 (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)) = x * ((y * z) * ((u * ((y * z) \ y)) / u)). [hyper(1365,a,7843,a),flip(a)]. 7845 (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)) = x * (y * (z * ((u * (z \ 1)) / u))). [para(1107(a,1),7844(a,2,2))]. 7846 L(x,y,z) * ((u * (L(x,y,z) \ 1)) / u) = L(x * ((u * (x \ 1)) / u),y,z). [hyper(429,a,7845,a),flip(a)]. 7847 L(x * ((y * (x \ 1)) / y),z,u) = y \ T(y,L(x,z,u) \ 1). [hyper(58,a,2572,a(flip),b,7846,a),flip(a)]. 7848 L(x \ T(x,y \ 1),z,u) = x \ T(x,L(y,z,u) \ 1). [para(2572(a,1),7847(a,1,1))]. 7849 L(x \ T(x,y \ 1),z,u) = K(x,L(y,z,u) \ 1). [hyper(272,a,2672,a,b,7848,a),flip(a)]. 7850 L(K(x,y \ 1),z,u) = K(x,L(y,z,u) \ 1). [para(2672(a,2),7849(a,1,1))]. 7851 K(x,L(y \ 1,z,u) \ 1) = L(K(x,y),z,u). [para(2372(a,1),7850(a,1,1)),flip(a)]. 7852 K(x,L(K(y,z),u,w) \ 1) = L(K(x,K(z,y)),u,w). [para(2878(a,1),7850(a,1,1,2)),flip(a)]. 7853 K(x,L(y \ z,u,w) \ 1) = L(K(x,z \ y),u,w). [para(4431(a,1),7850(a,1,1)),flip(a)]. 7854 K(x,L(K(y,z \ 1),u,w)) = K(x,K(y,L(z,u,w))). [para(7850(a,2),5541(a,1,2))]. 7855 (x * K(L(y \ 1,z,u) \ 1,w)) \ x = L(K(w,y),z,u). [hyper(58,a,3899,a,b,7851,a)]. 7856 L(K(x,y),z,u) \ 1 = L(K(y,x),z,u). [hyper(58,a,4819,a(flip),b,7851,a)]. 7857 K(x,L(y,z / y,u)) = L(K(x,y),z,u). [hyper(6311,a,7856,a)]. 7858 1 / L(K(x,y),z,u) != w | L(K(y,x),z,u) = w. [para(7856(a,1),280(a,1,2))]. 7859 L(K(T(x,y),T(z,y)),u,w) = K(x,L(z,u / T(z,y),w)). [hyper(5345,a,7857,a),flip(a)]. 7860 L(K(x,y),z * y,u) = K(x,L(y,z,u)). [para(6(a,1),7857(a,1,2,2)),flip(a)]. 7861 L(K(x,y \ z),z,u) = K(x,L(y \ z,y,u)). [para(72(a,1),7857(a,1,2,2)),flip(a)]. 7862 L(K(x,y),z,K(u,y)) = K(x,y). [para(5738(a,1),7857(a,1,2)),flip(a)]. 7863 K(L(x,y,K(z,u)),u) = K(x,u). [hyper(6535,a,7862,a)]. 7864 K(x \ (K(y,z) * u),z) = K(x \ u,z). [hyper(58,a,5816,a(flip),b,7863,a)]. 7865 K(x,L(y,z,u)) * K(y,x) = a(u,z * y,K(y,x)). [para(7860(a,1),6928(a,1,1))]. 7867 K(x \ y,x) * ((x \ (K(z,x) * y)) \ u) = ((K(z,x) * y) / x) \ u. [para(7864(a,1),3950(a,1,1))]. 7868 K(x \ (y * K(z,u)),z) = K(x \ y,z). [para(5315(a,1),7864(a,1,1,2)),flip(a)]. 7869 K(x \ (y * (z * u)),u) = K(x \ (y * (u * z)),u). [para(6344(a,1),7868(a,1,1,2)),flip(a)]. 7870 L(K(x,y \ z),z,u) = K(x,(u * y) \ (u * z)). [para(89(a,1),7861(a,2,2))]. 7871 L(K(x,y \ (z \ u)),z \ u,z) = K(x,(z * y) \ u). [para(254(a,1),7861(a,2,2))]. 7872 L(K(x,(y \ z) \ u),u,y) = K(x,z \ (y * u)). [para(437(a,1),7861(a,2,2))]. 7873 L(K(x,(x \ 1) \ y),y,z) = K(x,z \ ((z * y) * x)). [hyper(272,a,7078,a(flip),b,7870,a),flip(a)]. 7874 K(x,L(y \ z,y,u)) = K(x,(u * y) \ (u * z)). [hyper(58,a,7861,a(flip),b,7870,a)]. 7875 K(x,(y * z) \ (y * x)) = K(x,z \ x). [hyper(58,a,2667,a(flip),b,7870,a),flip(a)]. 7876 T(x,(y * z) \ (y * x)) = x * K(x,z \ x). [hyper(114,a,7875,a(flip),b,2672,a(flip)),flip(a)]. 7877 K(x,(y \ z) \ x) = K(x,z \ (y * x)). [para(5(a,1),7875(a,1,2,1)),flip(a)]. 7878 K(x,L(y,z,u) \ (y * x)) = K(x,(x / L(y,z,u)) * y). [hyper(58,a,7361,a(flip),b,7877,a),flip(a)]. 7879 K(x,K(y,z \ (u * y))) = K(x,K(u \ z,y)). [para(7877(a,1),5559(a,1,2))]. 7880 T(x,(y * z) \ (y * x)) = T(x,z \ x). [hyper(272,a,2674,a,b,7876,a),flip(a)]. 7881 T(x,(y \ z) \ x) = T(x,z \ (y * x)). [para(5(a,1),7880(a,1,2,1)),flip(a)]. 7882 K(x,T(y,z \ (u * y))) = K(x,T(y,z \ u)). [para(7881(a,1),6057(a,1,2))]. 7883 K(x,K(y,z \ (u * y))) = K(x,K(y,z \ u)). [hyper(272,a,5543,a(flip),b,7879,a),flip(a)]. 7884 K(x,T(y,(y \ z) \ u)) = K(x,T(y,z \ u)). [para(6337(a,2),7882(a,1,2))]. 7885 K(x,K(y * (z / u),u)) = K(x,K(u,(y * z) \ u)). [hyper(7082,a,7883,a)]. 7886 K(x \ y,T(x,y \ z)) = K(x \ y,T(x,z)). [hyper(5340,a,7884,a),flip(a)]. 7887 K(x \ y,T(x,y * z)) = K(x \ y,T(x,z)). [para(4(a,1),7886(a,1,2,2)),flip(a)]. 7888 L(T(K(x \ y,T(x,z)),z),z,y) = (y * (K(x \ y,x) * z)) / (y * z). [para(7887(a,1),6748(a,1,1,1))]. 7889 K(L(x,y,z),(z \ u) \ (x * y)) = K(x,u \ (z * (x * y))). [hyper(58,a,6354,a(flip),b,7872,a)]. 7890 K((x \ y) \ z,u \ (x * z)) = K(y \ (x * z),(x \ u) \ z). [hyper(58,a,6332,a(flip),b,7872,a),flip(a)]. 7891 L(K(x,K(y,z)),u,w) = K(x,L(K(y,z),u,w)). [para(7856(a,1),7852(a,1,2)),flip(a)]. 7892 K(x,L(K(y,z \ 1),u,w)) = L(K(z,K(x,y)),u,w). [para(5540(a,1),7891(a,1,1)),flip(a)]. 7893 K((x * (y * z)) \ (x * ((z * u) * y)),y) = K(L(L(u,z,y),y * z,x),y). [para(427(a,1),7869(a,2,1))]. 7894 K(x,K(y * (z / u),u)) = K(x,K(y * z,u)). [hyper(272,a,5559,a(flip),b,7885,a),flip(a)]. 7895 K(x,y) * K(x,K(z * u,y)) = K(x,T(y,z * (u / y))). [para(7894(a,1),5528(a,1,2))]. 7896 L(K(x,K(y,z)),u,w) = K(y,K(z,L(x,u,w))). [hyper(58,a,7854,a(flip),b,7892,a),flip(a)]. 7897 L(K(x,K(y,z)),u,w) = K(x,K(y,L(z,u,w))). [para(5501(a,2),7896(a,1,1))]. 7898 L(K(x,K(y,z)),u,w) = K(x,K(z,L(y,u,w))). [para(5504(a,1),7896(a,1,1))]. 7899 (x * y) * K(z,K(u,L(w,y,x))) = x * (y * K(z,K(u,w))). [hyper(114,a,7897,a(flip),b,13,a(flip))]. 7900 K(x,L(K(y,z),u,w)) = K(x,K(z,L(y,u,w))). [hyper(58,a,7891,a(flip),b,7898,a)]. 7901 K(L(K(x,y),z,u),w) = K(w,K(y,L(x,z,u))). [hyper(508,a,7900,a)]. 7903 x * K(L(K(y,z),u,w),x) = T(x,K(z,L(y,u,w))). [hyper(114,a,7901,a,b,2672,a(flip))]. 7904 T(x,L(K(y,z),u,w)) = T(x,K(z,L(y,u,w))). [hyper(2690,a,7903,a)]. 7905 T(x,L(K(y,z),u,w)) = T(x,K(y,L(z,u,w))). [para(28(a,1),7904(a,1,2,1))]. 7906 T(L(K(x,y),z,u) \ w,K(x,L(y,z,u))) = w / L(K(x,y),z,u). [hyper(2811,a,7905,a),flip(a)]. 7907 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K(x,(z * (x \ y)) \ u). [para(6877(a,1),7871(a,1,1))]. 7908 L(K(x,(y * z) \ ((u \ w) * x)),u \ w,u) = K(x,(u * (y * (z / x))) \ w). [para(7080(a,1),7871(a,1,1))]. 7909 L(K(x,x * y),y,z) = K(x,z \ ((z * y) * x)). [para(5968(a,1),7873(a,1,1))]. 7910 T(x,y \ ((y * z) * x)) = x * L(K(x,x * z),z,y). [hyper(114,a,7909,a,b,2672,a(flip)),flip(a)]. 7911 L(K(x,x * (y \ z)),y \ z,y) = K(x,y \ (z * x)). [para(5(a,1),7909(a,2,2,2,1))]. 7912 L(K(x,y * x),y,z) = K(x,z \ ((z * y) * x)). [para(3189(a,2),7909(a,1,1))]. 7913 L(K(L(x,y,z),y * L(x,y,z)),y,z) = K(L(x,y,z),y * x). [para(252(a,1),7912(a,2,2))]. 7914 (x * L(K(y,z),u,w)) \ x = L(K(z,y),u,w). [para(4818(a,1),7855(a,1,1,2))]. 7915 x / L(K(y,z),u,w) = x * L(K(z,y),u,w). [hyper(178,a,7914,a)]. 7917 (x * (y * K(z,u))) \ (x * y) = L(K(u,z),y,x). [para(87(a,1),7914(a,1,1))]. 7918 L(K(x,y),z,u) \ w = L(K(y,x),z,u) * w. [para(7914(a,1),3299(a,1,1)),flip(a)]. 7919 L(K(x,y),z,u) * (L(K(y,x),z,u) * w) = w. [hyper(287,a,7918,a),flip(a)]. 7920 L(K(x,y),z,u) * a(u,z,K(x,y)) = K(x,y). [hyper(114,a,6928,a(flip),b,7918,a)]. 7921 L(K(x,y),z,u) \ w != v5 | L(K(y,x),z,u) * w = v5. [para(7919(a,1),287(a,1,2))]. 7922 a(x,y,K(z,u)) * (L(K(z,u),y,x) * w) = K(z,u) * w. [para(7919(a,1),7198(a,1,2)),flip(a)]. 7923 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(6333(a,1),7920(a,1,1))]. 7924 (x * (K(y,z) * u)) \ (x * u) = L(K(z,T(y,u)),u,x). [para(5228(a,1),7917(a,1,1,2))]. 7925 L(K(x,T(y,L(y,z,u))),L(y,z,u),w) = K(x,y). [hyper(6273,a,7924,a),flip(a)]. 7926 L(K(x,y),L(y,z,u),w) = K(x,y). [para(156(a,1),7925(a,1,1,2))]. 7927 K((x \ y) \ L(z,u,w),z) = K(y \ (x * L(z,u,w)),z). [hyper(58,a,6332,a(flip),b,7926,a),flip(a)]. 7928 K(x,L(y,z / T(y,u),w)) = L(K(x,y),z,w). [para(5243(a,1),7859(a,1,1)),flip(a)]. 7929 L(K(x,y),y * z,u) = K(x,L(y,z,u)). [para(170(a,1),7928(a,1,2,2)),flip(a)]. 7930 K(x,L(y,y \ z,u)) = L(K(x,y),z,u). [para(239(a,1),7928(a,1,2,2))]. 7932 a(x,(y / T(z,u)) * z,K(z,w)) = L(K(w,z),y,x) * K(z,w). [para(7928(a,1),7865(a,1,1)),flip(a)]. 7933 (x * (y * z)) * K(u,L(y,z,x)) = x * ((y * z) * K(u,y)). [hyper(114,a,7929,a(flip),b,13,a(flip))]. 7934 K(x,y) * K(y,L(x,z,u)) = a(u,x * z,K(x,y)). [para(7929(a,1),6926(a,1,2))]. 7935 K(x,(x / L(y,z,u)) * y) = K(x,y * (L(y,z,u) \ x)). [para(1274(a,1),7878(a,1,2)),flip(a)]. 7936 K(x,T(y,z * (u / y))) = K(x,T(y,z * u)). [hyper(58,a,5528,a(flip),b,7895,a),flip(a)]. 7937 K(x,T(y,z * (y \ u))) = K(x,T(y,z * u)). [para(5365(a,1),7936(a,1,2))]. 7938 K(T(x,y * (x \ z)),u) = w / (K(u,T(x,y * z)) * w). [para(7937(a,1),3883(a,1,2,1)),flip(a)]. 7939 L(K(x,y),z,u) * (K(y,x) * w) = a(u,z,K(x,y)) \ w. [hyper(112,a,3880,a(flip),b,7922,a),flip(a)]. 7940 K(T(x,y * (x \ z)),u) = K(T(x,y * z),u). [hyper(272,a,3883,a(flip),b,7938,a),flip(a)]. 7941 K(T(x,y * (x \ z)),u) = K(x,T(u,y * z)). [hyper(272,a,5239,a(flip),b,7940,a),flip(a)]. 7942 K(T(x,y * (x \ z)),u) != w | K(x,T(u,y * z)) = w. [para(7940(a,2),5338(a,1))]. 7943 K(x,T((y * (x \ z)) \ u,y * z)) = K(x,u / (y * (x \ z))). [hyper(5349,a,7941,a),flip(a)]. 7944 K(x,T(y,z * (x \ u))) = K(x,T(y,z * u)). [hyper(5338,a,7941,a)]. 7945 K(x,T(y,z * (u / x))) = K(x,T(y,z * u)). [hyper(58,a,5434,a,b,7944,a)]. 7946 a(x,y,K(z,u)) \ w = a(x,y,K(u,z)) * w. [hyper(58,a,7199,a(flip),b,7939,a),flip(a)]. 7947 1 / a(x,y,K(z,u)) = a(x,y,K(u,z)). [hyper(6703,a,7946,a)]. 7948 (x * a(y,z,K(u,w))) \ x = a(y,z,K(w,u)). [hyper(4350,a,7946,a)]. 7949 x / (a(y,z,K(u,w)) * x) = a(y,z,K(w,u)). [hyper(499,a,7946,a)]. 7950 a(x,y,K(z,u)) \ w = a(x,y,K(z,u)) * w. [para(28(a,1),7946(a,1,1,3))]. 7952 x / a(y,z,K(u,w)) != v5 | x * a(y,z,K(w,u)) = v5. [para(7948(a,1),280(a,1,2))]. 7953 T(x / a(y,z,K(u,w)),a(y,z,K(u,w))) = a(y,z,K(u,w)) * x. [hyper(347,a,7950,a)]. 7954 a(x,y,K(z,u)) \ ((w * (v5 / a(x,y,K(z,u)))) * a(x,y,K(z,u))) = ((1 / a(x,y,K(z,u))) \ w) * v5. [hyper(272,a,108,a(flip),b,7950,a),flip(a)]. 7955 L(1 / x,K(y,z),u) \ 1 = a(x,u,K(y,z)) * x. [hyper(58,a,5933,a,b,7950,a)]. 7957 K(L(x,y * z,u),(u \ (u * (x * y))) \ (x * (y * z))) = K(x,L(L(z,y,x),x * y,u)). [para(427(a,1),7889(a,2,2))]. 7958 (x * y) * z != x * (y * K(u,K(w,v5))) | K(u,K(w,L(v5,y,x))) = z. [para(7899(a,1),38(a,1)),flip(a)]. 7959 (x * (y * z)) * K(u,L(y,z,x)) = x * (y * (z * K(u,y))). [para(4319(a,1),7933(a,2,2))]. 7960 (x * (y * (K(z,y) \ (y \ u)))) * K(z,L(y,K(z,y) \ (y \ u),x)) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y). [para(2213(a,2),7959(a,2,2))]. 7961 K((R(x,y,z) \ (R(x,y,z) * (x \ u))) \ u,w \ (R(x,y,z) * u)) = K(T(x,R(x,y,z) * (x \ u)),(R(x,y,z) \ w) \ u). [para(1089(a,1),7890(a,2,1))]. 7962 L(K(L(x,y,z),y * L(x,y,z)),y,z) = K(x,x * y). [hyper(272,a,6308,a(flip),b,7913,a),flip(a)]. 7964 a(x,(y / T(z,u)) * z,K(z,w)) = a(x,y,K(z,w)). [hyper(272,a,6928,a(flip),b,7932,a),flip(a)]. 7966 a(x,y * K(z,u),K(z,w)) = a(x,y,K(z,w)). [para(3990(a,1),7964(a,1,2))]. 7968 a(x,T(y,K(z,u)),K(z,w)) = a(x,y,K(z,w)). [para(5507(a,1),7966(a,1,2))]. 7969 a(x,y,T(K(z,u),y)) = a(x,y,K(z,u)). [hyper(58,a,6594,a(flip),b,7968,a)]. 7970 a(x,y,K(z,T(u,y))) = a(x,y,K(z,u)). [para(5238(a,2),7969(a,1,3))]. 7971 a(x,y,K(z,u * y)) = a(x,y,K(z,y * u)). [para(6064(a,1),7970(a,1,3))]. 7972 K(x,T((y * z) \ (u * x),y * z)) = K(x,u / (y * (x \ z))). [hyper(7094,a,7943,a)]. 7973 K(x,y / (z * (x \ u))) = K(x,((z * u) / y) \ x). [hyper(58,a,7351,a(flip),b,7972,a),flip(a)]. 7974 T(L(K(x,y),z,u) * w,K(y,L(x,z,u))) = w / L(K(y,x),z,u). [para(7918(a,1),7906(a,1,1))]. 7975 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K(x,(z * y) \ (u * x)). [hyper(272,a,7076,a(flip),b,7907,a),flip(a)]. 7976 T(L(K(x,y),z,u) * w,K(y,L(x,z,u))) = w * L(K(x,y),z,u). [hyper(272,a,7915,a(flip),b,7974,a),flip(a)]. 7977 T(x * L(K(y,z),u,w),K(z,L(y,u,w))) = L(K(y,z),u,w) * x. [hyper(2782,a,7976,a)]. 7978 K(x \ y,x) * ((T(x,z) \ y) \ u) = ((K(z,x) * y) / x) \ u. [para(3892(a,1),7867(a,1,2,1))]. 7979 K(x \ y,x) * ((T(x,z) \ y) \ u) = (K(z,x) * (y / x)) \ u. [para(5741(a,1),7978(a,2,1))]. 7980 (x * (K(y \ x,y) * z)) / (x * z) = L(K(y \ x,y),z,x). [para(5248(a,1),7888(a,1,1)),flip(a)]. 7981 L(K(x \ y,x),z,y) * (y * z) = y * (K(x \ y,x) * z). [hyper(125,a,7980,a)]. 7983 L(K(x,y),z,y * x) * ((y * x) * z) = (y * x) * (K(y \ (y * x),y) * z). [para(4(a,1),7981(a,1,1,1,1))]. 7984 K((x * (y * z)) \ (x * ((z * u) * y)),y) = K(L(u,y * z,x),y). [hyper(272,a,6284,a(flip),b,7893,a),flip(a)]. 7986 K((x * y) \ (z \ (x * ((y * u) * z))),z) = K(L(u,z * y,x),z). [hyper(58,a,7089,a(flip),b,7984,a)]. 7987 K(x,(y * (z * (u / x))) \ w) = K(x,(y * (z * u)) \ (w * x)). [hyper(58,a,7975,a(flip),b,7908,a),flip(a)]. 7988 L(K(x,y),z,y * x) * ((y * x) * z) = (y * x) * (K(x,y) * z). [para(4(a,1),7983(a,2,2,1,1))]. 7990 K(L(x,y * z,u),(x * y) \ (x * (y * z))) = K(x,L(L(z,y,x),x * y,u)). [para(4(a,1),7957(a,1,2,1))]. 7992 K(L(x,y * z,u),L(z,y,x)) = K(x,L(L(z,y,x),x * y,u)). [para(13(a,2),7990(a,1,2))]. 7993 K(L(x,y * z,u),z) = K(x,L(L(z,y,x),x * y,u)). [hyper(6536,a,7992,a)]. 7994 K(L(x,y * z,u),z) = K(x,L(z,x * y,u)). [hyper(272,a,6292,a(flip),b,7993,a),flip(a)]. 7996 K(L(x,(x \ y) * z,u),z) = K(x,L(z,y,u)). [para(5(a,1),7994(a,2,2,2))]. 7997 K(L(x,T(y * (x \ z),y),u),R(y,x \ z,y)) = K(x,L(R(y,x \ z,y),z,u)). [para(2333(a,1),7996(a,1,1,2))]. 7998 K(x,y \ K(z,L(x,u,w))) = K(x,y \ 1). [para(7996(a,1),5384(a,1,2,2))]. 7999 K(x,L(y,z,K(u,x))) = K(x,y). [para(5738(a,1),7996(a,1,1)),flip(a)]. 8000 K(x,L(L(y,z,K(u,x)),w,v5)) = K(x,L(y,w,v5)). [para(25(a,1),7999(a,1,2))]. 8001 K(x,(K(y,x) * z) \ u) = K(x,z \ (K(x,y) * u)). [para(3897(a,1),7999(a,1,2))]. 8002 K(x,(T(L(x,y,z),u) \ w) \ 1) = K(x,w \ L(x,y,z)). [hyper(58,a,4968,a(flip),b,7998,a),flip(a)]. 8003 K(x,y \ K(z,L(L(x,u,w),v5,v6))) = K(x,y \ 1). [para(7996(a,1),7998(a,1,2,2))]. 8004 K(x,y \ (K(x,z) * u)) = K(x,y \ u). [hyper(58,a,5820,a(flip),b,8001,a),flip(a)]. 8006 K(x,y \ (z * K(x,u))) = K(x,y \ z). [para(5252(a,1),8004(a,1,2,2))]. 8007 K(x,y \ (z * (K(u,x) * w))) = K(x,y \ (z * w)). [para(6538(a,1),8004(a,1,2,2)),flip(a)]. 8008 K(x,y \ (z * (u / x))) = K(x,y \ (z * (x \ u))). [para(3661(a,1),8006(a,1,2,2))]. 8009 K(x,y \ T(z,T(u,x))) = K(x,y \ T(z,u)). [para(5419(a,1),8006(a,1,2,2))]. 8010 K(x,y \ T(z,x / u)) = K(x,y \ T(z,u \ x)). [para(4482(a,1),8009(a,1,2,2))]. 8011 K(x,(T(L(L(x,y,z),u,w),v5) \ v6) \ 1) = K(x,v6 \ L(L(x,y,z),u,w)). [hyper(58,a,4968,a(flip),b,8003,a),flip(a)]. 8012 K(x,L(L(y,z,K(u,x)),K(u,x) * z,w)) = K(x,(w * (K(u,x) * z)) \ (w * (z * y))). [para(427(a,1),8007(a,1,2))]. 8013 K(x,(y * (z * (u / x))) \ (z * (x \ u))) = K(x,(z * (u / x)) \ (y \ (z * (u / x)))). [hyper(58,a,4489,a(flip),b,8008,a),flip(a)]. 8014 K(x,y \ T(L(x,z,u),w)) = K(x,y \ L(x,z,u)). [hyper(4460,a,8002,a)]. 8015 K(x,y \ L(T(x,z),u,w)) = K(x,y \ L(x,u,w)). [para(20(a,2),8014(a,1,2,2))]. 8016 K(x,y \ T(L(L(x,z,u),w,v5),v6)) = K(x,y \ L(L(x,z,u),w,v5)). [hyper(4460,a,8011,a)]. 8017 K(x,y \ L(T(x,x * z),u,w)) = K(x,y \ L(L(x,z,x),u,w)). [para(606(a,1),8016(a,1,2,2))]. 8018 K(x,y \ L(L(x,z,x),u,w)) = K(x,y \ L(x,u,w)). [hyper(58,a,8015,a(flip),b,8017,a),flip(a)]. 8020 K(x,(y \ 1) \ L(x,z,u)) * (K(y,x) * L(x,z,u)) = L(L(x,y,x),z,u). [para(8018(a,1),7673(a,1,1))]. 8021 K(x,y * L(x,z,u)) * (K(y,x) * L(x,z,u)) = L(L(x,y,x),z,u). [para(5968(a,1),8020(a,1,1))]. 8023 K(L(x,T(y * (x \ z),y),u),y) = K(x,L(R(y,x \ z,y),z,u)). [hyper(6242,a,7997,a)]. 8024 K(x,(y * (K(z,x) * u)) \ (y * (u * w))) = K(x,L(w,K(z,x) * u,y)). [hyper(58,a,8000,a(flip),b,8012,a),flip(a)]. 8026 K(x,L(y,K(z,x) * u,w)) = K(x,(w * u) \ (w * (u * y))). [hyper(58,a,6579,a(flip),b,8024,a),flip(a)]. 8028 K(x,L(y,K(z,x) * u,w)) = K(x,L(y,u,w)). [para(13(a,2),8026(a,2,2))]. 8029 K(x,L(y,K(x,z) * u,w)) = K(x,L(y,u,w)). [para(28(a,1),8028(a,1,2,2,1))]. 8030 K(x,L(y,K(x,z) \ u,w)) = K(x,L(y,u,w)). [para(3882(a,2),8028(a,1,2,2))]. 8031 K(L(x,K(y,z) * u,w),y) = (y \ 1) / (y \ K(y,L(x,u,w))). [para(8029(a,1),3422(a,1,2,2)),flip(a)]. 8032 K(L(x,K(y,z) * u,w),y) = K(L(x,u,w),y). [hyper(272,a,3422,a(flip),b,8031,a),flip(a)]. 8033 K(L(x,T(y,z),u),z) = K(L(x,y,u),z). [para(2668(a,1),8032(a,1,1,2)),flip(a)]. 8034 K(x,L(R(y,x \ z,y),z,u)) = K(L(x,y * (x \ z),u),y). [hyper(58,a,8023,a(flip),b,8033,a)]. 8035 K(L(x,y * (x \ z),u),y) = K(x,L(y,z,u)). [hyper(58,a,6938,a(flip),b,8034,a),flip(a)]. 8037 K(x,(y * (z / x)) \ (u \ (y * (z / x)))) = K(x,(u * (y * z)) \ ((y * (x \ z)) * x)). [hyper(58,a,7987,a(flip),b,8013,a),flip(a)]. 8038 K(x,(y * (z * u)) \ ((z * (x \ u)) * x)) = K(x,T(y \ 1,z * (u / x))). [hyper(5416,a,8037,a),flip(a)]. 8039 K(x,(y * (z * u)) \ ((z * (x \ u)) * x)) = K(x,T(y \ 1,z * u)). [hyper(272,a,7945,a(flip),b,8038,a),flip(a)]. 8040 K(x,T((y / (z * u)) \ 1,z * u)) = K(x,y \ ((z * (x \ u)) * x)). [para(7(a,1),8039(a,1,2,1)),flip(a)]. 8041 K(x,y \ ((z * (x \ u)) * x)) = K(x,y \ (z * u)). [hyper(58,a,5299,a(flip),b,8040,a),flip(a)]. 8042 K(x,x \ (y * z)) = K(x,y * (x \ z)). [hyper(5350,a,8041,a),flip(a)]. 8043 K(x,y \ ((x \ y) * z)) = K(x,x \ z). [hyper(58,a,6878,a(flip),b,8041,a),flip(a)]. 8044 K(x,(y \ x) \ z) = K(x,x \ (y * z)). [hyper(272,a,6457,a,b,8042,a)]. 8045 K(x,x \ (y * z)) = K(x,y * (z / x)). [hyper(272,a,5378,a,b,8042,a),flip(a)]. 8046 (x * K(y,z * (y \ u))) \ x = K(y \ (z * u),y). [para(8042(a,1),3899(a,1,1,2))]. 8047 T(x,K(y,z * (y \ u))) = T(x,K(y,z * u)). [para(8042(a,1),5548(a,1,2))]. 8048 K(x,x \ ((x \ y) \ z)) = K(x,y \ z). [para(5(a,1),8043(a,1,2,2)),flip(a)]. 8049 K(x,x \ ((x / y) * z)) = K(x,y \ z). [para(74(a,1),8044(a,1,2,1)),flip(a)]. 8050 x * (1 / L(x,y,y)) = K(x,y * (y / x)). [hyper(58,a,3795,a,b,8045,a)]. 8051 K(x,(x * y) \ z) = K(x,x \ (y \ z)). [para(4(a,1),8048(a,1,2,2,1)),flip(a)]. 8052 K(x,y \ T(z,x / y)) = K(x,x \ (z * (x / y))). [para(98(a,1),8049(a,1,2,2)),flip(a)]. 8053 K(x,y \ (x \ z)) = K(x,x \ (y \ z)). [hyper(6384,a,8051,a)]. 8054 K(T(x,y),T(x,y) \ (z \ u)) = K(x,T(z \ (T(x,y) \ u),y)). [hyper(5338,a,8053,a),flip(a)]. 8055 K(x,y \ (x \ (y * z))) = K(x,x \ z). [para(4(a,1),8053(a,2,2,2))]. 8056 K(x,y \ (x \ (y * (z * x)))) = K(x,z). [hyper(272,a,2889,a(flip),b,8055,a),flip(a)]. 8057 (x * y) * K(z,z \ y) = x * (z * (y / z)). [para(8055(a,1),6341(a,1,2))]. 8058 K(x,L(y,x,z)) = K(x,y). [hyper(6351,a,8056,a)]. 8059 T(x,L(y,x,z)) = x * K(x,y). [hyper(114,a,8058,a(flip),b,2672,a(flip)),flip(a)]. 8060 K(L(x,y,z),(z * (y * x)) \ ((z * y) * u)) = K(L(x,y,z),L(x,y,z) \ u). [para(444(a,1),8058(a,1,2))]. 8061 K(x,(x \ y) / z) = K(x,x \ (y / z)). [para(6210(a,1),8058(a,1,2))]. 8062 K(L(x,y,z),L(u,x,w)) = L(K(x,u),y * x,z). [para(8058(a,1),6278(a,1,1)),flip(a)]. 8063 (x * (y * z)) * K(z,y) = x * (z * y). [para(8058(a,1),6344(a,1,2))]. 8064 T(x,L(y,x,z)) = T(x,y). [hyper(272,a,2674,a,b,8059,a),flip(a)]. 8065 T(x,L(y,x,z)) != u | T(x,y) = u. [para(8059(a,2),2737(a,1))]. 8067 L(x,y,z) * T(y,x) = y * L(x,y,z). [hyper(114,a,8064,a(flip),b,17,a(flip))]. 8069 L(x,y,z) = (z * T(y,x)) \ (z * (T(y,x) * x)). [para(8064(a,1),7096(a,1,1,2)),flip(a)]. 8070 K(x,y / (z * x)) = K(x,x \ (y / z)). [hyper(58,a,7336,a(flip),b,8061,a)]. 8071 K(x,x \ ((x * y) / z)) = K(x,y / z). [para(4(a,1),8061(a,1,2,1)),flip(a)]. 8073 (x * (y * z)) * K(y,z) = x * (z * y). [para(28(a,1),8063(a,1,2))]. 8075 ((x * T(y,x)) * L(x,y,z)) \ (x * (y * L(x,y,z))) = K(L(x,y,z),x * T(y,x)). [para(8067(a,1),1276(a,1,2,2))]. 8076 K(x,x \ (y / ((x \ z) * u))) = K(x,y / (z * u)). [hyper(58,a,7654,a(flip),b,8070,a),flip(a)]. 8077 K(x,y / (x * z)) = K(x,x \ (y / z)). [hyper(58,a,5843,a(flip),b,8070,a)]. 8078 ((x * y) * (z * (x * y))) * K(x,y) = ((1 / (x * y)) \ z) * (y * x). [para(366(a,1),8073(a,1,1))]. 8079 ((x * y) * z) * K(y,z) = R(x,y,z) * (z * y). [para(93(a,1),8073(a,1,1))]. 8080 T(T(x,K(y,z * u)),y * (z * (u / y))) = T(x,(z * (u / y)) * y). [para(8047(a,1),6097(a,1,1))]. 8081 (x / y) * (z * (y / z)) = x * K(z,z \ y). [hyper(278,a,8057,a),flip(a)]. 8083 K(L(x,y,z),L(u,x,w)) = K(L(x,y,z),u). [hyper(272,a,6278,a(flip),b,8062,a),flip(a)]. 8084 K(L(x,y,z),(u * x) \ (u * w)) = K(L(x,y,z),x \ w). [hyper(58,a,7874,a(flip),b,8083,a)]. 8085 L(x,T(y,x),z) = L(x,y,z). [hyper(272,a,13,a,b,8069,a)]. 8087 L(x,K(y,T(z,x)),u) = L(x,K(y,z),u). [para(5238(a,2),8085(a,1,2))]. 8088 T(1 / x,y * (x * y)) = L(x,y,y) \ 1. [para(8085(a,1),6430(a,2,1))]. 8089 K(x * (y * x),y \ 1) = (L(y,x,x) \ 1) * y. [para(8088(a,1),3149(a,1,1)),flip(a)]. 8090 R(x,y,z) * (z * y) = (x * y) * T(z,y). [hyper(4266,a,8079,a),flip(a)]. 8091 R(x,y,T(z,y)) = R(x,y,z). [hyper(30,a,455,a,b,8090,a)]. 8092 R(x,y / z,z) = R(x,z \ y,z). [hyper(5893,a,8091,a)]. 8093 R(x,T(y,z),z) = R(x,y,z). [hyper(58,a,5140,a,b,8091,a)]. 8094 ((x * (y / z)) * z) / y = R(x,z \ y,z). [hyper(58,a,5142,a(flip),b,8091,a)]. 8095 R(x,y,T(T(z,y),u)) = R(x,y,T(z,u)). [para(18(a,1),8091(a,1,3))]. 8096 R(x,y,z / y) = R(x,y,y \ z). [para(100(a,1),8091(a,1,3)),flip(a)]. 8097 R(x,y,T(z / y,u)) = R(x,y,T(y \ z,u)). [para(222(a,1),8091(a,1,3)),flip(a)]. 8099 R(x,y,K(y,z) * (u / y)) = R(x,y,T(y,z) \ u). [para(5482(a,1),8091(a,1,3))]. 8101 R(x,(y * z) \ z,z) = R(x,y \ 1,z). [para(2258(a,1),8093(a,1,2))]. 8102 R(K(x,(y / (z / u)) \ x),u \ z,u) = K(x,z / ((x \ y) * u)). [hyper(58,a,7353,a(flip),b,8092,a),flip(a)]. 8103 R(K(x,(y / z) / u),z \ y,z) = K(x,y / (u * z)). [hyper(58,a,7344,a(flip),b,8092,a),flip(a)]. 8105 K(x * (y * x),y \ 1) = y * (1 / L(y,x,x)). [hyper(272,a,2853,a(flip),b,8089,a),flip(a)]. 8106 K(x * (y * x),y \ 1) = K(y,x * (x / y)). [hyper(272,a,8050,a(flip),b,8105,a),flip(a)]. 8107 K(x,x * ((y * x) * y)) = K(x,y * (y / x)). [hyper(58,a,6163,a(flip),b,8106,a)]. 8108 K(x \ (y * z),x) = K(y * (x \ z),x). [hyper(3924,a,8046,a),flip(a)]. 8109 K(x * (y \ (x \ z)),y) = K(y \ z,y). [para(5(a,1),8108(a,1,1,2)),flip(a)]. 8110 (x \ (y * z)) * K(y \ (y * z),y) = x \ (z * y). [para(8109(a,1),6875(a,1,2))]. 8111 K(x,y \ T(z,y \ x)) = K(x,x \ (z * (x / y))). [hyper(58,a,8010,a(flip),b,8052,a)]. 8112 K(x,(x * y) / (z * u)) = K(x,y / ((x \ z) * u)). [hyper(58,a,8071,a(flip),b,8076,a),flip(a)]. 8113 (x \ (y * z)) * K(z,y) = x \ (z * y). [para(4(a,1),8110(a,1,2,1))]. 8115 T(x \ (y * z),K(z,y)) = K(y,z) * (x \ (z * y)). [hyper(215,a,8113,a,b,3880,a)]. 8117 R(x,y,z) \ (z * (x * y)) = (y * z) * K(z,x * y). [para(166(a,1),8113(a,1,1)),flip(a)]. 8120 K(x,y / ((x \ z) * u)) != w | K(x,((z * u) / y) \ x) = w. [para(8112(a,1),7347(a,1))]. 8121 T(T(x \ (y * z),K(z,y)),K(z,y)) = a(z,y,z) \ (x \ T(z * y,z)). [para(8115(a,2),7161(a,1,1))]. 8122 R(K(x,((y * z) / (u / w)) \ x),w \ u,w) = K(x,u / ((y * (x \ z)) * w)). [para(7973(a,1),8103(a,1,1))]. 8123 R(x,y,z) \ (z * (x * y)) = y * T(z,x * y). [hyper(272,a,3664,a(flip),b,8117,a),flip(a)]. 8124 R(x,y,z) = (z * (x * y)) / (y * T(z,x * y)). [hyper(178,a,8123,a),flip(a)]. 8125 K(L(x,y,z),u \ (x \ (u * w))) = K(L(x,y,z),x \ w). [hyper(6537,a,8084,a)]. 8126 K(x,T(y \ (T(x,z) \ u),z)) = K(x,T(x \ (y \ u),z)). [hyper(58,a,6586,a(flip),b,8054,a),flip(a)]. 8128 a(x,y,x) \ (z \ T(x * y,x)) = z \ (y * x). [hyper(2810,a,8121,a),flip(a)]. 8130 K(L(x,y,z),(z * y) \ (x \ ((z * y) * u))) = K(L(x,y,z),L(x,y,z) \ u). [hyper(7170,a,8060,a)]. 8131 K(x,y / ((x \ (z * u)) * w)) = K(x,y / ((z * (x \ u)) * w)). [hyper(58,a,8102,a(flip),b,8122,a)]. 8132 K(x,y / ((z * (x \ u)) * w)) = K(x,(((z * u) * w) / y) \ x). [hyper(8120,a,8131,a),flip(a)]. 8133 K(x,(((y * z) * u) / (z * u)) \ x) = R(K(x,y \ x),z,u). [hyper(58,a,7383,a(flip),b,8132,a),flip(a)]. 8134 R(K(x,y \ x),z,u) = K(x,R(y,z,u) \ x). [para(15(a,2),8133(a,1,2,1)),flip(a)]. 8135 K(x,R(y \ x,z,u) \ x) = R(K(x,y),z,u). [para(4454(a,1),8134(a,1,1)),flip(a)]. 8136 K(L(x,y,z),L(x,y,z) \ u) = K(L(x,y,z),x \ u). [hyper(58,a,8125,a(flip),b,8130,a),flip(a)]. 8138 L(x,y,z) \ L(T(x,x \ u),y,z) = K(L(x,y,z),L(x,y,z) \ u). [hyper(272,a,2735,a,b,8136,a)]. 8139 T(L(x,y,z),L(x,y,z) \ u) = L(T(x,x \ u),y,z). [hyper(33,a,2672,a(flip),b,8138,a)]. 8140 T(x,L(x,y,z) \ u) = T(x,x \ u). [hyper(132,a,8139,a)]. 8141 L(T(x,x \ y),z,u) * y = y / (1 / L(x,z,u)). [para(8139(a,1),3522(a,1,1))]. 8142 T(x,L(x,y,z) \ u) = (x \ u) \ u. [hyper(272,a,99,a(flip),b,8140,a),flip(a)]. 8145 T(x,L(x,y,z) \ (u * x)) = T(x,u). [hyper(272,a,2249,a,b,8142,a),flip(a)]. 8146 L((x \ y) \ y,z,u) = (L(x,z,u) \ y) \ y. [para(8142(a,1),264(a,1,1))]. 8150 L(x / (x / y),z,u) = (L(y,z,u) \ x) \ x. [para(2898(a,2),8146(a,1,1))]. 8152 a(1 / x,y,z) \ (1 / x) = ((L(x,z,y) \ 1) \ 1) \ 1. [para(8150(a,1),5933(a,1,1)),flip(a)]. 8153 a(1 / x,y,z) \ (1 / x) != u | 1 / L(x,z,y) = u. [para(8152(a,2),2988(a,1))]. 8154 ((x * y) * L(y,x,z)) \ (y * (x * L(y,x,z))) = K(L(y,x,z),y * T(x,y)). [para(98(a,1),8075(a,1,1,1))]. 8155 K(L(x,y,z),x * T(y,x)) = K(x,y * L(x,y,z)). [hyper(1385,a,8154,a),flip(a)]. 8156 K(L(x,y,z),y * x) = K(x,y * L(x,y,z)). [para(98(a,1),8155(a,1,2))]. 8157 K(x,y * L(x,y,z)) = K(x,x * y). [hyper(6309,a,8156,a),flip(a)]. 8159 L(K(x,x * y),z * x,u) = K(L(x,z,u),y * L(x,y,w)). [para(8157(a,1),6278(a,1,1))]. 8160 K(L(x,y,z),u * L(x,u,w)) = K(L(x,y,z),x * u). [hyper(6535,a,8159,a),flip(a)]. 8161 L(K(L(x,y,z),x * y),y,z) = K(x,x * y). [para(8160(a,1),7962(a,1,1))]. 8162 L(K(x,x * y),y,z) = K(x,x * y). [para(6357(a,1),8161(a,1,1))]. 8164 K(x,y \ (z * x)) = K(x,x * (y \ z)). [hyper(58,a,7911,a(flip),b,8162,a)]. 8165 1 / L(K(x,x * y),y,z) = K(x * y,x). [para(8162(a,2),2880(a,1,2))]. 8167 T(x,y \ ((y * z) * x)) = x * K(x,x * z). [para(8162(a,1),7910(a,2,2))]. 8169 K(x,y \ (x * z)) = K(x,x * (y \ z)). [hyper(58,a,6876,a(flip),b,8164,a)]. 8170 K(x,y * (L(y,z,u) \ x)) = K(x,x * (L(y,z,u) \ y)). [para(1274(a,1),8164(a,1,2))]. 8171 K(x,x * ((y \ x) \ z)) = K(x,y * z). [hyper(58,a,6458,a(flip),b,8169,a),flip(a)]. 8172 K(x,(x / y) * z) = K(x,x * (y \ z)). [para(74(a,1),8171(a,1,2,2,1)),flip(a)]. 8174 L(K(x * y,x),y,z) = K(x * y,x). [hyper(7858,a,8165,a)]. 8175 K(x \ (y * z),z) = K(z * (x \ y),z). [hyper(58,a,7088,a(flip),b,8174,a)]. 8177 K((x \ y) \ z,z) = K(z * (y \ x),z). [hyper(58,a,6334,a,b,8175,a)]. 8178 K(x * ((y * x) \ z),x) = K(y \ z,x). [hyper(58,a,6327,a(flip),b,8175,a),flip(a)]. 8179 K(x * (y \ (x \ z)),x) = K(y \ z,x). [hyper(58,a,6325,a(flip),b,8175,a),flip(a)]. 8180 T(x,y \ ((y * z) * x)) = T(x,x * z). [hyper(272,a,2674,a,b,8167,a),flip(a)]. 8182 T(x,L(x,y,z) * u) = T(x,x * u). [hyper(58,a,8145,a(flip),b,8180,a)]. 8183 K(x,L(x,y,z) * u) = x \ T(x,x * u). [hyper(112,a,8182,a(flip),b,2674,a(flip)),flip(a)]. 8184 T(x,x * (L(x,y,z) \ u)) = T(x,u). [para(5(a,1),8182(a,1,2)),flip(a)]. 8185 K(x * (L(x,y,z) \ u),x) = x / T(x,u). [para(8184(a,1),2670(a,2,2))]. 8186 K(x,L(x,y,z) * u) = K(x,x * u). [hyper(272,a,2672,a,b,8183,a),flip(a)]. 8187 K(x,y * L(x,z,u)) = K(x,x * y). [hyper(6077,a,8186,a)]. 8190 K(x,x * y) * (K(y,x) * L(x,z,u)) = L(L(x,y,x),z,u). [para(8187(a,1),8021(a,1,1))]. 8191 K(x * (L(x,y,z) \ u),x) = K(u,x). [hyper(272,a,2670,a,b,8185,a),flip(a)]. 8192 K(L(x,y,z) \ u,x) = K(x \ u,x). [hyper(58,a,8179,a(flip),b,8191,a)]. 8193 K(L(x,y,z) * u,x) = K(x * u,x). [para(4(a,1),8191(a,1,1,2)),flip(a)]. 8194 K(x / L(y,z,u),y) = K(y \ x,y). [hyper(58,a,5326,a,b,8192,a)]. 8195 K(x \ L(y,z,u),y) = K(y * (x \ 1),y). [hyper(58,a,6133,a(flip),b,8193,a)]. 8196 K(x * L(y,z,u),y) = K(y * x,y). [hyper(58,a,6090,a(flip),b,8193,a)]. 8199 K(x * L(y,z,u),y) = K(x,y) * a(y,x,y). [hyper(272,a,6620,a,b,8196,a),flip(a)]. 8201 K(x \ L(y,z,u),y) = K(x \ y,y). [hyper(272,a,3642,a(flip),b,8195,a),flip(a)]. 8202 K(x \ (y * L(z,u,w)),z) = K((y \ x) \ z,z). [hyper(58,a,7927,a(flip),b,8201,a)]. 8203 (L(x,y,z) * K((u \ x) \ x,x)) * u = (x \ (L(x,y,z) * u)) * x. [para(8201(a,1),6874(a,1,1,2))]. 8204 a(x,y,L(x,z,u)) = a(x,y,x). [hyper(7236,a,8199,a)]. 8205 a(x,y,L(x,z,u)) = R(x,y,x) / x. [hyper(272,a,6610,a,b,8204,a),flip(a)]. 8206 L(x,y,L(x,z,u)) \ x = a(x,y,x). [hyper(58,a,7235,a,b,8204,a)]. 8208 R(x,y,L(x,z,u)) = R(x,y,x). [hyper(7233,a,8205,a)]. 8209 (x * (y * R(z,u,z))) / (x * (y * z)) = a(L(z,y,x),u,L(z,y,x)). [para(8208(a,1),7460(a,1,1,2,2))]. 8212 L(x,y,L(x,z,u)) = L(x,y,x). [hyper(34,a,6607,a,b,8206,a),flip(a)]. 8213 L(L(x,y,z),u,L(x,w,v5)) = L(L(x,u,x),y,z). [para(8212(a,1),25(a,1,1)),flip(a)]. 8214 L(L(x,y,x),z,u) \ L(x,z,u) = a(L(x,z,u),y,L(x,z,u)). [para(8212(a,1),6616(a,1,1,1))]. 8216 K(x \ (y * L(z,u,w)),z) = K(z * (x \ y),z). [hyper(272,a,8177,a(flip),b,8202,a),flip(a)]. 8217 K(x \ (y * (z * u)),u) = K(u * (x \ (y * z)),u). [para(87(a,1),8216(a,1,1,2))]. 8218 K(x \ (y \ (z * (u * y))),y) = K(y * ((x * y) \ (z * u)),y). [hyper(58,a,6328,a(flip),b,8217,a)]. 8219 a(x,y,x) \ L(x,z,u) = L(L(x,y,x),z,u). [hyper(58,a,6662,a(flip),b,8190,a)]. 8221 L(L(x,y,x),z,u) \ L(x,z,u) = a(x,y,x). [para(8219(a,1),6647(a,1,1))]. 8222 a(L(x,y,z),u,L(x,y,z)) = a(x,u,x). [hyper(58,a,8221,a(flip),b,8214,a),flip(a)]. 8225 K(x \ (y \ (z * (u * y))),y) = K(x \ (z * u),y). [hyper(272,a,8178,a(flip),b,8218,a),flip(a)]. 8226 K(L(x,y * z,u),y) = K((u * z) \ (u * (z * x)),y). [hyper(58,a,7986,a(flip),b,8225,a)]. 8227 K(L(x,y * z,u),y) = K(L(x,z,u),y). [para(13(a,2),8226(a,2,1))]. 8228 K(L(x,x \ y,z),u) = K(x,L(u,y,z)). [hyper(58,a,8035,a(flip),b,8227,a),flip(a)]. 8229 L(K(x,y),z,u) = K(x,L(y,z,u)). [hyper(58,a,6355,a(flip),b,8228,a)]. 8230 K(x,L(y,z * x,u)) = K(L(x,z,u),y). [hyper(6535,a,8229,a),flip(a)]. 8231 x * L(K(x,y),z,u) = T(x,L(y,z,u)). [hyper(114,a,8229,a,b,2672,a(flip))]. 8232 K(x,L(y \ z,u,w) \ 1) = K(x,L(z \ y,u,w)). [hyper(58,a,7853,a,b,8229,a)]. 8233 K(x,y) * a(z,u,K(y,x)) = K(x,L(y,u,z)). [hyper(58,a,6927,a,b,8229,a)]. 8234 K(x,L(y / z,z \ y,u)) = K(x,y / z). [hyper(58,a,5301,a(flip),b,8229,a),flip(a)]. 8235 (x * y) * K(z,L(u,y,x)) = x * (y * K(z,u)). [hyper(114,a,8229,a(flip),b,13,a(flip))]. 8236 L(K(x,T(y,z)),u,w) = K(x,T(L(y,u,w),z)). [para(20(a,1),8229(a,2,2))]. 8237 1 / L(K(x,y),z,u) = K(L(y,z,u),x). [para(8229(a,2),2880(a,1,2))]. 8238 K(x,L(y * (z \ 1),u,w)) = L(K(x,y / z),u,w). [para(5973(a,1),8229(a,1,1)),flip(a)]. 8239 K(x,L((y \ 1) * z,u,w)) = L(K(x,y \ z),u,w). [para(6081(a,1),8229(a,1,1)),flip(a)]. 8240 K(x,y) * K(y,L(x,z,u)) = a(u,z,K(x,y)). [para(8229(a,1),6926(a,1,2))]. 8241 K(x,L(y,z,u)) * K(y,x) = a(u,z,K(y,x)). [para(8229(a,1),6928(a,1,1))]. 8242 K(x,L(y,z * x,u)) = K(y,L(x,z,u)). [hyper(272,a,28,a,b,8230,a),flip(a)]. 8243 x * (y * K(x * y,z)) = T(x * y,L(z,y,x)). [hyper(251,a,8231,a)]. 8244 T(x,L(y,z,u)) * K(y,x) = x * a(u,z,K(y,x)). [para(8231(a,1),6931(a,1,1))]. 8245 L(K(x,y),z,u) = K(L(x,z,u),y). [hyper(7858,a,8237,a)]. 8246 K(L(x,y,z),u) = K(x,L(u,y,z)). [hyper(58,a,8229,a(flip),b,8245,a),flip(a)]. 8247 K(x,y) * K(L(y,z,u),x) = a(u,z,K(x,y)). [para(8245(a,1),6926(a,1,2))]. 8248 K(L(x,y,z),u) * K(u,x) = a(z,y,K(u,x)). [para(8245(a,1),6928(a,1,1))]. 8249 K(x,L(y,z,u)) * (K(y,L(x,z,u)) * w) = w. [para(8246(a,1),3880(a,1,1))]. 8250 (x \ (x \ y)) * K(z,1 / x) = y * ((x \ 1) * T(1 / x,z)). [para(8234(a,1),7384(a,1,2))]. 8252 K(x,T(L(y,z,T(x,u)),w)) = K(x,T(y,w)). [hyper(58,a,4941,a(flip),b,8236,a),flip(a)]. 8253 K(x,T((T(x,y) * z) \ u,w)) = K(x,T(z \ (T(x,y) \ u),w)). [para(254(a,1),8252(a,1,2,1))]. 8254 a(x,y * z,K(y,u)) = a(x,z,K(y,u)). [hyper(58,a,7934,a(flip),b,8240,a)]. 8255 a(x,y \ z,K(y,u)) = a(x,z,K(y,u)). [para(5(a,1),8254(a,1,2)),flip(a)]. 8256 a(x,y,K(z,u)) != w | K(z,u) * K(u,L(z,y,x)) = w. [para(8241(a,1),1492(a,1))]. 8257 a(x,y * z,K(u,z)) = a(x,y,K(u,z)). [hyper(58,a,6929,a(flip),b,8247,a)]. 8258 a(x,y / z,K(u,z)) = a(x,y,K(u,z)). [para(7(a,1),8257(a,1,2)),flip(a)]. 8259 x / T(x / y,L(y,z,u)) = y * a(u,z,K(y \ x,y)). [para(8257(a,1),7117(a,2,2))]. 8260 (x * y) * z != x * (y * K(u,w)) | K(u,L(w,y,x)) = z. [para(8235(a,1),38(a,1)),flip(a)]. 8261 T(x * y,L(z,y,x)) = T(x * y,z). [hyper(5720,a,8243,a),flip(a)]. 8262 L(x,y,z) = (z * (y * x)) / T(z * y,x). [para(8261(a,1),425(a,1,2)),flip(a)]. 8263 L(x,y,z) * T(z * y,x) = z * (y * x). [hyper(125,a,8262,a(flip))]. 8264 (a(x,y,z) * (x * u)) / T(x * a(x,y,z),u) = L(u,x,a(x,y,z)). [para(1189(a,1),8262(a,2,2,1)),flip(a)]. 8265 (x * (y * K(z,u))) / T(x * K(z,T(u,y)),y) = L(y,K(z,T(u,y)),x). [para(5252(a,1),8262(a,2,1,2)),flip(a)]. 8266 (x * (y * z)) / T(x * y,z) != u | L(z,y,x) = u. [para(8263(a,1),279(a,1,1))]. 8267 K(x,L(y * (z \ 1),u,w)) = K(x,L(y / z,u,w)). [hyper(272,a,8229,a(flip),b,8238,a),flip(a)]. 8268 K(x,L((y \ 1) * z,u,w)) = K(x,L(y \ z,u,w)). [hyper(272,a,8229,a(flip),b,8239,a),flip(a)]. 8269 T(x * K(y,x),L(y,z,u)) = x * a(u,z,K(y,x)). [hyper(58,a,5300,a,b,8244,a)]. 8270 K(T(x,y),L(y \ z,u,w)) = K(x,L(z * (1 / y),u,w)). [hyper(5851,a,8268,a),flip(a)]. 8271 T(x * a(y,z,K(u,x)),u) = T(x,L(u,z,y)). [para(8269(a,1),2758(a,1,1))]. 8272 L(x,y,z) \ ((u / x) \ (L(x,y,z) * (x \ u))) = x \ (x * a(z,y,K(x \ u,x))). [para(8259(a,1),6552(a,2,2))]. 8273 K(x,L(T(y \ z,y),u,w)) = K(x,L(z * (1 / y),u,w)). [hyper(5455,a,8270,a)]. 8274 K(x,L(y * (1 / z),u,w)) = K(x,L(y / z,u,w)). [hyper(58,a,5481,a(flip),b,8273,a),flip(a)]. 8275 K(x,L(y / (z \ 1),u,w)) = K(x,L(y * z,u,w)). [para(72(a,1),8274(a,1,2,1,2)),flip(a)]. 8276 (x \ (x \ y)) * K(z,x \ 1) = y * ((x \ 1) * T(1 / x,z)). [para(2369(a,1),8250(a,1,2))]. 8278 K(x,T((T(x,y) * z) \ u,y)) = K(x,T(x \ (z \ u),y)). [hyper(272,a,8126,a(flip),b,8253,a),flip(a)]. 8279 K(x,T(x \ (y \ z),y)) = K(x,z / (x * ((x * y) / x))). [hyper(58,a,7099,a(flip),b,8278,a),flip(a)]. 8280 K(x,T(x \ (y \ z),y)) = K(x,z / (x * y)). [hyper(272,a,5844,a(flip),b,8279,a),flip(a)]. 8281 K(x,T(x \ (y \ z),y)) = K(x,x \ (z / y)). [hyper(272,a,8077,a(flip),b,8280,a),flip(a)]. 8282 K(x,x \ ((y * z) / y)) = K(x,T(x \ z,y)). [para(4(a,1),8281(a,1,2,1,2)),flip(a)]. 8283 K(x,T(x \ y,z)) = K(x,x \ T(y,z)). [para(2774(a,2),8282(a,1,2,2)),flip(a)]. 8284 x * K(x,T(x \ y,z)) = T(x,x \ T(y,z)). [hyper(114,a,8283,a,b,2672,a(flip))]. 8285 T(x,T(x \ y,z)) = T(x,x \ T(y,z)). [hyper(2737,a,8284,a)]. 8286 T(x \ 1,T((x \ 1) \ T(y,x),z)) = T(x \ 1,T(y,z) * x). [hyper(272,a,6012,a(flip),b,8285,a),flip(a)]. 8287 x * ((y \ 1) * T(1 / y,z)) = (x / y) * T(y \ 1,z). [hyper(4291,a,8276,a),flip(a)]. 8288 (x / y) * T(y \ 1,z) = x * (y \ T(y \ 1,z)). [para(6718(a,1),8287(a,1,2)),flip(a)]. 8289 x * (y \ T(y \ 1,z / y)) = (x / y) * (T(y,z) \ 1). [para(3387(a,1),8288(a,1,2)),flip(a)]. 8290 x * (y \ T(y \ 1,y * z)) = (x / y) * (1 / T(y,z)). [para(3465(a,1),8288(a,1,2)),flip(a)]. 8291 (x / y) * (T(y,z) \ 1) = x * (y \ (T(y,z) \ 1)). [para(3387(a,1),8289(a,1,2,2)),flip(a)]. 8292 (x \ ((T(x,y) \ 1) * (z * x))) / x = (1 * (x \ (T(x,y) \ 1))) * z. [para(8291(a,1),749(a,2,1))]. 8293 (x / y) * (1 / T(y,z)) = x * (y \ (1 / T(y,z))). [para(3465(a,1),8290(a,1,2,2)),flip(a)]. 8294 x * (T(y,z) \ (1 / T(T(y,z),z))) = (x / T(y,z)) * (1 / y). [para(2765(a,1),8293(a,1,2,2)),flip(a)]. 8295 T(x \ 1,T(x * T(y,x),z)) = T(x \ 1,T(y,z) * x). [hyper(58,a,5993,a(flip),b,8286,a)]. 8296 T(x \ 1,T(y * x,z)) = T(x \ 1,T(y,z) * x). [para(98(a,1),8295(a,1,2,1))]. 8297 (x / T(y,z)) * (1 / y) = x * (T(y,z) \ (1 / y)). [para(2765(a,1),8294(a,1,2,2,2)),flip(a)]. 8298 (x / T(y,z)) * (1 / y) = x * (y \ (1 / T(y,z))). [para(1939(a,1),8297(a,2,2))]. 8299 L(x / T(y,z),y,y) / y = x * (y \ (1 / T(y,z))). [hyper(58,a,2007,a,b,8298,a)]. 8300 (x * (T(y,z) \ 1)) / y = x * (y \ (1 / T(y,z))). [para(6191(a,1),8299(a,1,1))]. 8301 x * (y \ (1 / T(y,x))) = (y \ x) / y. [para(3006(a,1),8300(a,1,1)),flip(a)]. 8302 (x \ (L(x,y,z) * u)) * x = (L(x,y,z) * K(u,x)) * u. [para(3852(a,1),8203(a,1,1,2)),flip(a)]. 8303 (x \ (L(x,y,z) * u)) * x = L(x,y,z) * T(u,x). [hyper(272,a,3699,a(flip),b,8302,a),flip(a)]. 8304 (L(x,y,z) * (x \ u)) * x = L(x,y,z) * T(u,x). [para(1271(a,1),8303(a,1,1))]. 8305 (L(x,y,z) * T(u,x)) / x = L(x,y,z) * (x \ u). [hyper(122,a,8304,a)]. 8306 L(x,y,z) * (x \ u) = a(x \ 1,z,y) * u. [hyper(30,a,2544,a,b,8304,a),flip(a)]. 8307 (x \ L(x,y,z)) * u = L(x,y,z) * (x \ u). [hyper(30,a,2542,a,b,8304,a)]. 8308 (x / y) \ (L(y,z,u) * (y \ x)) = x \ (L(y,z,u) * T(x,y)). [para(8304(a,1),7152(a,2,2))]. 8309 a(x \ 1,y,z) \ (L(x,z,y) * u) = x * u. [hyper(802,a,8306,a)]. 8310 a(x \ 1,y,z) \ u = x * (L(x,z,y) \ u). [hyper(516,a,8306,a)]. 8311 a(x \ 1,y,z) * (x * u) = L(x,z,y) * u. [hyper(507,a,8306,a),flip(a)]. 8312 x * (a(x \ 1,y,z) * u) = L(x,z,y) * u. [hyper(114,a,8306,a(flip),b,1271,a)]. 8313 a((1 / x) \ 1,y,z) * (u / x) = L(1 / x,z,y) * T(u,x). [para(2920(a,2),8306(a,1,2)),flip(a)]. 8314 (x \ L(x,y,z)) \ u = x * (L(x,y,z) \ u). [hyper(112,a,67,a(flip),b,8307,a)]. 8315 T(L(x,y,z) \ x,L(x,y,z) * (x \ u)) = 1 / T(x \ L(x,y,z),u). [para(8307(a,1),3489(a,1,2))]. 8316 ((L(x,y,z) / T(a(x \ 1,z,y),L(x,y,z))) * u) * a(x \ 1,z,y) = x * (u * a(x \ 1,z,y)). [hyper(58,a,2263,a,b,8309,a)]. 8317 T(L(x,y,z) * u,a(x \ 1,z,y)) = (x * u) / (a(x \ 1,z,y) \ 1). [hyper(113,a,8309,a(flip),b,676,a),flip(a)]. 8318 a(x \ 1,y,z) \ (x \ u) = L(x,z,y) \ u. [hyper(272,a,1275,a(flip),b,8310,a),flip(a)]. 8321 T(x,y) * (a(x \ 1,z,u) * w) = K(x,y) * (L(x,u,z) * w). [hyper(114,a,8312,a(flip),b,3195,a),flip(a)]. 8322 (x \ L(x,y,z)) \ (x \ u) = L(x,y,z) \ u. [hyper(272,a,1275,a(flip),b,8314,a),flip(a)]. 8323 (x \ L(x,y,z)) \ (x \ u) != w | L(x,y,z) \ u = w. [para(8314(a,2),1284(a,1))]. 8324 (L(x,y,z) * u) / T(x,u) = L(x,y,z) * (x \ u). [hyper(58,a,3975,a(flip),b,8305,a)]. 8325 L(x,y,z) * (x \ T(u,x)) = (L(x,y,z) * u) / x. [para(2765(a,1),8305(a,1,1,2)),flip(a)]. 8326 (x / y) \ (L(y,z,u) * (y \ x)) = T(L(y,z,u) * K(x,y),x). [hyper(272,a,3700,a,b,8308,a),flip(a)]. 8327 L(1 / x,y,z) * T(u,x) = a(x,z,y) * (u / x). [para(74(a,1),8313(a,1,1,1)),flip(a)]. 8328 (a(x,y,z) * u) / x = a(x,y,z) * (u / x). [hyper(58,a,2994,a(flip),b,8327,a)]. 8329 L(a(x,y,x),z * x,u) = a(L(x,z,u),y,L(x,z,u)). [hyper(58,a,6682,a(flip),b,8209,a)]. 8331 a(L(x,y / x,z),u,L(x,y / x,z)) = L(a(x,u,x),y,z). [para(7(a,1),8329(a,1,2)),flip(a)]. 8332 L(a(x,y,x),z,u) = a(x,y,x). [hyper(58,a,8222,a(flip),b,8331,a),flip(a)]. 8334 a(x,y,a(z,u,z)) = 1. [hyper(48,a,8332,a)]. 8335 (x * y) * a(z,u,z) = x * (y * a(z,u,z)). [hyper(114,a,8332,a(flip),b,13,a(flip))]. 8336 x \ (y * a(z,u,z)) = (x \ y) * a(z,u,z). [para(8332(a,1),426(a,1,2,2))]. 8337 (x * y) / a(z,u,z) = x * (a(z,u,z) \ y). [para(8332(a,1),6660(a,1,2))]. 8338 a(x,y,a(z,u,z)) = w \ w. [hyper(272,a,61,a,b,8334,a),flip(a)]. 8339 a(x,y,a(z,z,u)) = 1. [para(6792(a,1),8334(a,1,3))]. 8340 a(x,y,a(z,u,u)) = 1. [para(6793(a,2),8334(a,1,3))]. 8341 L(a(x,x,y),z,u) = a(x,x,y). [hyper(47,a,8339,a)]. 8342 L(a(x,y,y),z,u) = a(x,y,y). [hyper(47,a,8340,a)]. 8343 L(x,a(y,z,y),u) = x. [hyper(1197,a,8338,a),flip(a)]. 8344 (x * a(y,z,y)) * u = x * (a(y,z,y) * u). [hyper(1105,a,8343,a),flip(a)]. 8345 (x * a(y,z,y)) \ u = a(y,z,y) \ (x \ u). [hyper(481,a,8343,a),flip(a)]. 8346 L(x,a(y,y,z),u) = x. [para(6792(a,1),8343(a,1,2))]. 8347 L(x,a(y,z,z),u) = x. [para(6793(a,2),8343(a,1,2))]. 8348 (x * a(y,y,z)) * u = x * (a(y,y,z) * u). [hyper(1105,a,8346,a),flip(a)]. 8349 (x * a(y,z,z)) * u = x * (a(y,z,z) * u). [hyper(1105,a,8347,a),flip(a)]. 8350 a(x,x,K(y,z) * u) = a(u,x,x). [hyper(6506,a,8341,a),flip(a)]. 8351 (x * y) * a(z,z,u) = x * (y * a(z,z,u)). [hyper(114,a,8341,a(flip),b,13,a(flip))]. 8352 x \ (y * a(z,z,u)) = (x \ y) * a(z,z,u). [para(8341(a,1),426(a,1,2,2))]. 8353 (x * y) * a(z,u,u) = x * (y * a(z,u,u)). [hyper(114,a,8342,a(flip),b,13,a(flip))]. 8354 x \ (y * a(z,u,u)) = (x \ y) * a(z,u,u). [para(8342(a,1),426(a,1,2,2))]. 8355 a(x,T(x,y),z) = a(z,x,x). [hyper(6980,a,8350,a)]. 8357 a(x,x,y * T(z,u)) = a(y * z,x,x). [para(4502(a,1),8350(a,1,3))]. 8358 L(x,y,T(x \ 1,z)) = x * a(y,x \ 1,x \ 1). [hyper(114,a,8355,a(flip),b,1181,a(flip)),flip(a)]. 8359 a(x,x,y * T(z,u)) = a(x,x,y * z). [hyper(272,a,4244,a(flip),b,8357,a),flip(a)]. 8360 a(x,x,y * z) = a(x,x,z * y). [para(98(a,1),8359(a,1,3))]. 8361 a(x,x,(y \ z) * y) = a(x,x,z). [para(203(a,1),8359(a,1,3)),flip(a)]. 8362 a(x,y,x) * (z * u) = z * (u * a(x,y,x)). [hyper(6652,a,8335,a)]. 8363 R(x,y,a(z,u,z)) = x. [hyper(453,a,8335,a)]. 8364 (x * y) * a(z,u,z) = x * (a(z,u,z) * y). [para(6640(a,2),8335(a,2,2))]. 8365 (((x * y) * z) * a(u,w,u)) / ((y * z) * a(u,w,u)) = R(x,y,z). [hyper(58,a,449,a,b,8363,a)]. 8366 x \ (y * a(z,u,z)) = a(z,u,z) * (x \ y). [hyper(272,a,6640,a,b,8336,a),flip(a)]. 8367 a(x,y,x) \ (z * u) = z * (a(x,y,x) \ u). [hyper(6650,a,8337,a)]. 8369 (a(x,y,x) * z) / u = a(x,y,x) * (z / u). [hyper(881,a,8344,a(flip))]. 8370 (x * (a(y,y,z) * (x * a(y,y,z)))) \ (u * (x * a(y,y,z))) = u / (x * a(y,y,z)). [para(8348(a,1),3263(a,1,1))]. 8371 (a(x,y,y) * z) * u = z * (a(x,y,y) * u). [para(5600(a,2),8349(a,1,1))]. 8372 a(x,x,y) * (z * u) = z * (u * a(x,x,y)). [hyper(5595,a,8351,a)]. 8373 (x \ y) * a(z,z,y) = x \ L(y,z,z). [para(4213(a,1),8352(a,1,2)),flip(a)]. 8374 x \ (y * (z * a(u,u,w))) = (x \ (y * z)) * a(u,u,w). [para(8351(a,1),8352(a,1,2))]. 8375 (x * (y * a(z,u,u))) * w = (x * y) * (a(z,u,u) * w). [para(8353(a,1),8349(a,1,1))]. 8376 x \ (a(y,z,z) * u) = (x \ u) * a(y,z,z). [para(5600(a,2),8354(a,1,2))]. 8377 (x * y) \ (x * (a(z,u,z) * (y * w))) = L(w * a(z,u,z),y,x). [para(8362(a,2),13(a,2,2,2)),flip(a)]. 8378 a(x,y,x) * (z * u) = z * (a(x,y,x) * u). [para(6640(a,2),8362(a,2,2))]. 8379 x \ (a(y,z,y) * u) = a(y,z,y) * (x \ u). [para(6640(a,2),8366(a,1,2))]. 8380 x \ (y * (a(z,u,z) * w)) = a(z,u,z) * (x \ (y * w)). [para(8364(a,1),8366(a,1,2))]. 8381 K(x,y) * (a(z,u,z) \ T(y,x)) = a(z,u,z) \ y. [para(2668(a,1),8367(a,1,2)),flip(a)]. 8382 (x * (a(y,z,z) * u)) \ ((a(y,z,z) * x) * (u * w)) = L(w,u,a(y,z,z) * x). [para(8371(a,1),13(a,2,1)),flip(a)]. 8383 a(x,x,y) * (z * u) = z * (a(x,x,y) * u). [hyper(272,a,5628,a,b,8372,a),flip(a)]. 8384 a(x,x,y) * (T(z,(u * a(x,x,y)) \ 1) * u) = (1 / (u * a(x,x,y))) \ z. [hyper(272,a,1972,a(flip),b,8372,a),flip(a)]. 8385 a(x,x,y) * (z * y) = z * L(y,x,x). [para(4213(a,1),8372(a,2,2))]. 8386 a(x,x,y) * (z * x) = z * L(x,y,x). [para(4248(a,1),8372(a,2,2))]. 8387 (L(x,y,y) * (z / y)) * L(y,u,u) = a(u,u,y) * (y \ ((y * x) * z)). [para(3121(a,1),8385(a,1,2)),flip(a)]. 8388 (x * a(y,z,y)) * u = a(y,z,y) * (x * u). [hyper(272,a,8344,a,b,8378,a)]. 8389 (x * a(y,y,z)) * u = a(y,y,z) * (x * u). [hyper(272,a,8348,a,b,8383,a)]. 8390 a(x,x,y) * (z * (u * y)) = z * (u * L(y,x,x)). [para(8385(a,1),8383(a,2,2))]. 8391 (a(x,y,x) * z) * u = a(x,y,x) * (z * u). [para(6640(a,2),8388(a,1,1))]. 8392 (a(x,x,y) * z) * u = a(x,x,y) * (z * u). [para(5594(a,2),8389(a,1,1))]. 8393 R(a(x,y,x),z,u) = a(x,y,x). [hyper(2621,a,8391,a)]. 8394 L(x,y,a(z,u,z)) = x. [hyper(2469,a,8391,a)]. 8395 x \ (a(y,z,y) * (u * x)) = T(a(y,z,y) * u,x). [hyper(359,a,xx,b,8391,a),flip(a)]. 8396 (a(x,y,x) * z) \ (a(x,y,x) * u) = z \ u. [hyper(112,a,137,a(flip),b,8391,a)]. 8397 (a(x,y,x) * (z * (u * w))) \ (((a(x,y,x) * z) * u) * w) = a(a(x,y,x) * z,u,w). [para(8391(a,1),9(a,2,1)),flip(a)]. 8398 (a(x,y,x) * (z * u)) \ ((a(x,y,x) * z) * (u * w)) = L(w,u,a(x,y,x) * z). [para(8391(a,1),13(a,2,1)),flip(a)]. 8399 ((a(x,y,x) * (z * u)) * w) / (u * w) = R(a(x,y,x) * z,u,w). [para(8391(a,1),15(a,2,1,1)),flip(a)]. 8400 (a(x,y,x) \ z) \ u = z \ (a(x,y,x) * u). [hyper(512,a,8394,a),flip(a)]. 8401 L(x,y,a(z,z,u)) = x. [para(6792(a,1),8394(a,1,3))]. 8402 L(x,y,a(z,u,u)) = x. [para(6793(a,2),8394(a,1,3))]. 8403 L(x,y,a(z,z,u)) != w | x = w. [para(8401(a,1),45(a,2))]. 8404 a(x,y * K(z,y),x) = L(a(x,y,x),y,z). [hyper(58,a,7255,a(flip),b,8393,a),flip(a)]. 8405 a(x,y * K(z,y),x) = a(x,y,x). [hyper(272,a,8332,a(flip),b,8404,a),flip(a)]. 8408 a(x,T(y,z),x) = a(x,y,x). [para(2652(a,2),8405(a,1,2))]. 8409 a(x,y / z,x) = a(x,z \ y,x). [para(2747(a,1),8405(a,1,2))]. 8411 L(x,T(y,z),x) = x / a(x,y,x). [para(8408(a,1),6615(a,1,2)),flip(a)]. 8413 a(x,T(y / z,u),x) = a(x,z \ y,x). [hyper(58,a,8408,a,b,8409,a)]. 8414 L(x,T(y,z),x) = L(x,y,x). [hyper(272,a,6615,a(flip),b,8411,a),flip(a)]. 8415 L(x,y / z,x) = L(x,z \ y,x). [para(100(a,1),8414(a,1,2)),flip(a)]. 8416 L(x,R(y \ R(y,z,u),y,z * u),x) = L(x,a(y,z,u),x). [para(1678(a,2),8414(a,1,2)),flip(a)]. 8417 L(x,R(y * K(z,y),u,w),x) = L(x,R(y,u,w),x). [para(2760(a,1),8414(a,1,2)),flip(a)]. 8418 L(x,R(y * K(z,y),z,u),x) = L(x,(z * u) \ ((z * y) * u),x). [para(2870(a,2),8415(a,1,2))]. 8419 a(x,R(y \ z,y,u),x) = a(x,(y * u) \ (z * u),x). [para(563(a,1),8413(a,1,2))]. 8420 a(x,x,y) * ((y * z) * u) = (L(y,x,x) * z) * u. [para(4784(a,1),8392(a,1,1)),flip(a)]. 8421 (a(x,y,x) * z) \ ((a(x,y,x) * u) * w) = z \ (u * w). [para(8391(a,2),8396(a,1,2))]. 8422 (a(x,y,x) \ z) \ u = a(x,y,x) * (z \ u). [hyper(272,a,8379,a(flip),b,8400,a),flip(a)]. 8423 x / (a(y,z,y) * (u \ x)) = a(y,z,y) \ u. [hyper(178,a,8422,a)]. 8424 x / (a(y,z,y) * u) = a(y,z,y) \ (x / u). [para(74(a,1),8423(a,1,2,2))]. 8425 a(x,y,x) \ (z / x) = z / R(x,y,x). [para(6611(a,1),8424(a,1,2)),flip(a)]. 8426 L(x,y,T(x \ 1,z)) = x * a(y,x,x). [para(6083(a,1),8358(a,2,2))]. 8427 a(x,y,x) * (z \ (u * z)) = T(a(x,y,x) * u,z). [hyper(58,a,8379,a(flip),b,8395,a)]. 8428 a(x,y,y) * ((x * z) * u) = (L(x,y,y) * z) * u. [para(4244(a,2),8420(a,1,1))]. 8429 T(a(x,y,x) * z,u) = a(x,y,x) * T(z,u). [para(17(a,2),8427(a,1,2)),flip(a)]. 8430 T(x * a(y,z,y),u) = a(y,z,y) * T(x,u). [para(6640(a,1),8429(a,1,1))]. 8431 a(x,y,x) \ T(z * a(x,y,x),u) = T(z,u). [hyper(112,a,8430,a,b,xx)]. 8433 T(a(x,y,x) \ z,u) = a(x,y,x) \ T(z,u). [para(6648(a,1),8431(a,1,2,1)),flip(a)]. 8434 K(x,y) * T(a(z,u,z) \ y,x) = a(z,u,z) \ y. [para(8433(a,2),8381(a,1,2))]. 8435 L(x,y,y) \ ((L(x,y,y) * z) * u) = x \ ((x * z) * u). [hyper(112,a,8428,a(flip),b,4779,a)]. 8436 L(x,y,y) \ ((x * z) * u) = x \ ((L(x,y,y) * z) * u). [para(8428(a,1),6145(a,1,2)),flip(a)]. 8437 K(x,a(y,z,y) \ u) = K(x,u). [hyper(2725,a,8434,a)]. 8438 T(x,a(y,z,y) \ u) = x * K(x,u). [hyper(114,a,8437,a(flip),b,2672,a(flip)),flip(a)]. 8439 K(x,a(y,z,y) * u) = K(x,u). [para(4(a,1),8437(a,1,2)),flip(a)]. 8440 K(x,y * a(z,u,z)) = K(x,y). [para(6643(a,1),8437(a,1,2)),flip(a)]. 8441 K(x,y \ T(z * u,z)) = K(x,y \ (u * z)). [para(8128(a,1),8437(a,1,2)),flip(a)]. 8442 K(x,(y * a(z,u,z)) \ w) = K(x,y \ w). [para(8345(a,2),8437(a,1,2))]. 8443 K(x,y * (z * a(u,w,u))) = K(x,y * z). [para(8362(a,1),8439(a,1,2))]. 8444 K(x,y * (a(z,u,z) * w)) = K(x,y * w). [para(8378(a,1),8439(a,1,2))]. 8445 K(x,y \ (a(z,u,z) * w)) = K(x,y \ w). [para(8379(a,2),8439(a,1,2))]. 8446 K(x,y * a(z,u,u)) = K(x,y). [para(6793(a,2),8440(a,1,2,2))]. 8447 K(x,L(y,z,z) \ u) = K(x,y \ u). [para(6139(a,1),8446(a,1,2))]. 8448 T(x,a(y,z,y) \ u) = T(x,u). [hyper(272,a,2674,a,b,8438,a),flip(a)]. 8449 T(x,y * a(z,u,z)) = T(x,y). [para(6643(a,1),8448(a,1,2)),flip(a)]. 8450 T(x,L(y,z,y) * u) = T(x,y * u). [para(6655(a,1),8448(a,1,2))]. 8451 T(x,L(y,z,y) \ u) = T(x,y \ u). [para(6656(a,1),8448(a,1,2)),flip(a)]. 8452 T(x,y / (a(z,u,z) * w)) = T(x,y / w). [para(8424(a,2),8448(a,1,2))]. 8453 T(x,y * a(z,z,u)) = T(x,y). [para(6792(a,1),8449(a,1,2,2))]. 8454 T(x,y * a(z,u,u)) = T(x,y). [para(6793(a,2),8449(a,1,2,2))]. 8455 T(x,y \ a(z,z,u)) = T(x,y \ 1). [hyper(6112,a,8453,a)]. 8456 T(x,a(y,y,z) * u) = T(x,u). [para(5594(a,2),8453(a,1,2))]. 8457 T(x,y \ L(z,u,u)) = T(x,y \ z). [para(8373(a,1),8453(a,1,2))]. 8458 T(x,L(y,z,z) \ u) = T(x,y \ u). [para(6139(a,1),8454(a,1,2))]. 8459 T(x,y \ (z * a(u,w,w))) = T(x,y \ z). [para(8354(a,2),8454(a,1,2))]. 8460 T(x,L(y,z,z) * u) = T(x,y * u). [para(4784(a,1),8456(a,1,2))]. 8461 T(x,y * L(z,u,u)) = T(x,y * z). [para(8385(a,1),8456(a,1,2))]. 8462 T(x,y * (a(z,z,u) * w)) = T(x,y * w). [para(8383(a,1),8456(a,1,2))]. 8463 T(x,y * (z * L(u,w,w))) = T(x,y * (z * u)). [para(8390(a,1),8456(a,1,2))]. 8464 T(x,(L(y,z,z) * u) * w) = T(x,(y * u) * w). [para(8420(a,1),8456(a,1,2))]. 8465 T(x,T(y,y * z) * u) = T(x,T(y,z) * u). [para(5394(a,1),8450(a,1,2,1))]. 8466 T(x,T(y,y * z) \ u) = T(x,T(y,z) \ u). [para(5394(a,1),8451(a,1,2,1))]. 8467 T(x,y \ ((1 / z) * u)) = T(x,y \ (z \ u)). [para(1996(a,1),8457(a,1,2,2)),flip(a)]. 8468 T(x,y \ (z \ T(u,z))) = T(x,y \ (u / z)). [para(2933(a,1),8457(a,1,2,2))]. 8469 T(x,y \ (z * (u \ 1))) = T(x,y \ (z / u)). [para(3112(a,1),8457(a,1,2,2)),flip(a)]. 8470 T(x,y \ ((z * z) * u)) = T(x,y \ (z * (z * u))). [para(3559(a,1),8457(a,1,2,2)),flip(a)]. 8471 T(x,((y * y) \ z) * u) = T(x,(y \ (y \ z)) * u). [para(254(a,1),8460(a,1,2,1))]. 8472 T(x,((y \ 1) \ z) * u) = T(x,(y * z) * u). [para(2002(a,1),8460(a,1,2,1))]. 8473 T(x,(y / (1 / z)) * u) = T(x,(y * z) * u). [para(2020(a,1),8460(a,1,2,1)),flip(a)]. 8474 T(x,T(y,z \ 1) * u) = T(x,T(y,z) * u). [para(2792(a,1),8460(a,1,2,1))]. 8475 T(x,(y * (z \ 1)) * u) = T(x,(y / z) * u). [para(3112(a,1),8460(a,1,2,1)),flip(a)]. 8476 T(x,((y \ z) * z) * u) = T(x,(z * (z / y)) * u). [para(3490(a,1),8460(a,1,2,1)),flip(a)]. 8477 T(x,((y / z) * y) * u) = T(x,(y * (z \ y)) * u). [para(6218(a,1),8460(a,1,2,1)),flip(a)]. 8478 T(x,((y \ 1) \ (z \ 1)) * u) = T(x,(y / z) * u). [para(6992(a,1),8460(a,1,2,1))]. 8479 T(x,y * ((z * z) \ u)) = T(x,y * (z \ (z \ u))). [para(254(a,1),8461(a,1,2,2))]. 8480 T(x,y * ((1 / z) * u)) = T(x,y * (z \ u)). [para(1996(a,1),8461(a,1,2,2)),flip(a)]. 8481 T(x,y * ((z \ 1) \ u)) = T(x,y * (z * u)). [para(2002(a,1),8461(a,1,2,2))]. 8482 T(x,y * (z / (1 / u))) = T(x,y * (z * u)). [para(2020(a,1),8461(a,1,2,2)),flip(a)]. 8483 T(x,y * (z * (u \ 1))) = T(x,y * (z / u)). [para(3112(a,1),8461(a,1,2,2)),flip(a)]. 8484 T(x,y * (T(z,u) / u)) = T(x,y * (u \ z)). [para(3129(a,1),8461(a,1,2,2))]. 8485 T(x,y * ((z \ 1) \ (u \ 1))) = T(x,y * (z / u)). [para(6992(a,1),8461(a,1,2,2))]. 8486 K(x,T(y * z,y) \ u) = K(x,(z * y) \ u). [para(6622(a,1),8442(a,1,2,1))]. 8487 K(x,y * (L(z,u,z) \ w)) = K(x,y * (z \ w)). [para(6633(a,1),8443(a,1,2,2))]. 8488 K(x,y * (a(z,u,u) * w)) = K(x,y * w). [para(6793(a,2),8444(a,1,2,2,1))]. 8489 K(x,y \ K(z,z \ u)) = K(x,y \ K(z,u)). [para(6602(a,1),8445(a,1,2,2))]. 8490 T(x,y / T(z * u,z)) = T(x,y / (u * z)). [para(6654(a,1),8452(a,1,2,2))]. 8491 T(x,y \ (L(z,u,z) \ w)) = T(x,y \ (z \ w)). [para(6796(a,1),8459(a,1,2,2))]. 8492 T(x,y * (a(z,u,u) * w)) = T(x,y * w). [para(4217(a,1),8462(a,1,2,2,1))]. 8493 T(x,y * (L(z,u,u) * w)) = T(x,y * (z * w)). [para(4784(a,1),8462(a,1,2,2))]. 8494 T(x,y * (L(z,u,u) \ w)) = T(x,y * (z \ w)). [para(6140(a,1),8462(a,1,2,2))]. 8495 T(x,y * (z * (a(u,u,w) * v5))) = T(x,y * (z * v5)). [para(8383(a,1),8462(a,1,2,2))]. 8496 T(x,y * (z * (u * L(w,v5,v5)))) = T(x,y * (z * (u * w))). [para(8390(a,1),8462(a,1,2,2))]. 8497 T(x,y * ((L(z,u,u) * w) * v5)) = T(x,y * ((z * w) * v5)). [para(8420(a,1),8462(a,1,2,2))]. 8498 K(x,L(y,z,z) * u) = K(x,y * u). [para(4780(a,1),8488(a,1,2))]. 8499 K(x,y * (z * (1 / u))) = K(x,y * (z / u)). [hyper(58,a,6215,a(flip),b,8498,a)]. 8500 K(x,y * (z * (u \ 1))) = K(x,y * (z / u)). [hyper(58,a,6214,a(flip),b,8498,a)]. 8501 K(x,((1 / y) * z) * u) = K(x,(y \ z) * u). [para(1996(a,1),8498(a,1,2,1)),flip(a)]. 8502 K(x,((y \ 1) \ z) * u) = K(x,(y * z) * u). [para(2002(a,1),8498(a,1,2,1))]. 8503 K(x,((y / z) * y) * u) = K(x,(y * (z \ y)) * u). [para(6218(a,1),8498(a,1,2,1)),flip(a)]. 8504 T(x,T(y,y \ z) * u) = T(x,T(y,z) * u). [para(5(a,1),8465(a,1,2,1,2)),flip(a)]. 8505 T(x,T(y \ 1,z) * u) = T(x,T(y,z) \ u). [hyper(58,a,6023,a(flip),b,8466,a)]. 8506 T(x,y \ (z \ (((1 / z) \ y) * u))) = T(x,L(u,(1 / z) \ y,1 / z)). [para(88(a,1),8467(a,1,2)),flip(a)]. 8507 T(x,y \ ((z * T(u,u \ 1)) \ w)) = T(x,y \ ((u \ (1 / z)) * w)). [para(5160(a,1),8467(a,1,2,2,1)),flip(a)]. 8508 T(x,(y * (1 / z)) \ u) = T(x,(z * (1 / y)) * u). [hyper(6113,a,8472,a)]. 8509 T(x,((y * z) * y) * u) = T(x,(y * (z * y)) * u). [para(3502(a,1),8472(a,1,2,1))]. 8510 T(x,((y * z) * z) * u) = T(x,(z * (z * y)) * u). [para(3503(a,1),8472(a,1,2,1))]. 8511 T(x,(y * ((z \ 1) * (u \ 1))) * w) = T(x,(y / ((1 / u) \ z)) * w). [para(4020(a,1),8473(a,1,2,1,2)),flip(a)]. 8512 T(x,(y / (T(z,u) / u)) * w) = T(x,(y * (((1 / u) * z) \ 1)) * w). [para(384(a,1),8475(a,1,2,1,2)),flip(a)]. 8513 T(x,y * ((z \ u) / z)) = T(x,y * (z \ (u / z))). [para(376(a,1),8480(a,1,2,2))]. 8514 T(x,y * (z / T(u,z))) = T(x,y * (u \ z)). [para(2242(a,2),8480(a,1,2,2))]. 8515 T(x,y * (T(z,u) \ u)) = T(x,y * (u / z)). [para(2793(a,1),8480(a,1,2,2)),flip(a)]. 8516 T(x,y * ((z * K(u,w)) \ v5)) = T(x,y * ((K(u,w) / z) * v5)). [para(5638(a,1),8480(a,1,2,2,1)),flip(a)]. 8517 T(x,y * (T(z,u) * ((1 / w) * (u \ (1 / w))))) = T(x,y * (w \ (u \ ((1 / w) * z)))). [para(6946(a,2),8480(a,1,2,2))]. 8518 T(x,y * ((1 / z) \ u)) = T(x,y * (z * u)). [hyper(58,a,4547,a,b,8481,a)]. 8519 T(x,y * ((z \ 1) * u)) = T(x,y * (z \ u)). [hyper(58,a,4971,a(flip),b,8481,a),flip(a)]. 8520 T(x,y * ((z * u) * z)) = T(x,y * (z * (u * z))). [para(3502(a,1),8481(a,1,2,2))]. 8521 T(x,y * ((z * u) * u)) = T(x,y * (u * (u * z))). [para(3503(a,1),8481(a,1,2,2))]. 8522 T(x,y \ (z * z)) = T(x,z * (z / y)). [hyper(6115,a,8483,a)]. 8523 T(x,(y * y) / z) = T(x,y * (y / z)). [hyper(6108,a,8483,a)]. 8524 T(x,y * ((1 / z) / u)) = T(x,y * (z \ (u \ 1))). [hyper(58,a,8480,a(flip),b,8483,a),flip(a)]. 8525 T(x,y * (z * ((u \ 1) * ((1 / w) / v5)))) = T(x,y * (z / ((w \ (v5 \ 1)) \ u))). [para(4904(a,1),8483(a,1,2,2,2))]. 8526 T(x,y) \ T(T(x,z * (u / w)),y) = K(x,T(z * (u * (w \ 1)),y)). [para(8483(a,1),5262(a,1,2,1))]. 8527 T(T(x,y * (z / u)),K(w,y * (z * (u \ 1)))) = T(x,T(y * (z * (u \ 1)),w)). [para(8483(a,1),5485(a,1,1))]. 8528 x * T(y,x * (x / y)) = (y \ x) \ (x * x). [para(8522(a,1),6753(a,1,2))]. 8529 K(x,((y \ z) * y) \ u) = K(x,T(z,y) \ u). [para(5(a,1),8486(a,1,2,1,1)),flip(a)]. 8530 K(x,y \ K(z,z \ u)) = K(x,y \ K(u,z)). [hyper(272,a,5632,a,b,8489,a),flip(a)]. 8532 K(x,y * (z / (u \ 1))) = K(x,y * (z * u)). [para(72(a,1),8499(a,1,2,2,2)),flip(a)]. 8534 K(x,y * (z * (u \ (w \ u)))) = K(x,y * (z / T(w,u))). [para(2999(a,1),8500(a,1,2,2,2))]. 8535 K(x,((y \ 1) * z) * u) = K(x,(y \ z) * u). [hyper(58,a,2428,a(flip),b,8501,a)]. 8536 K(x,(T(y,z) \ z) * u) = K(x,(z / y) * u). [para(2793(a,1),8501(a,1,2,1)),flip(a)]. 8537 K(x,(y * (z * (1 / y))) * u) = K(x,(y * (z / y)) * u). [para(3829(a,1),8502(a,1,2,1))]. 8538 T(x,T(y,z) * (a(T(y,y \ z) \ 1,u,w) * v5)) = T(x,L(T(y,y \ z),w,u) * v5). [para(8312(a,1),8504(a,1,2)),flip(a)]. 8539 T(x,y * (z * ((1 / z) * u))) = T(x,y * u). [para(4(a,1),8518(a,1,2,2)),flip(a)]. 8540 T(x,y * (z * (u / z))) = T(x,y * T(u,z)). [para(2920(a,2),8518(a,1,2,2)),flip(a)]. 8541 T(x,y * (((z \ 1) * (1 / u)) * w)) = T(x,y * (((u \ 1) \ z) \ w)). [para(4125(a,1),8518(a,1,2,2,1)),flip(a)]. 8542 T(x,y * ((z * u) * u)) = T(x,y * ((u * u) * z)). [para(4394(a,1),8518(a,1,2,2))]. 8543 T(x,(y * T(y,z)) * u) = T(x,y * (T(y,z) * u)). [para(6196(a,1),8518(a,1,2))]. 8544 x * T(y,x * (y \ x)) = (y \ x) \ (x * x). [para(5365(a,1),8528(a,1,2))]. 8545 K(x,(y * (z / y)) \ u) = K(x,T(z,y) \ u). [para(2828(a,1),8529(a,1,2,1))]. 8546 K(x,((y \ 1) * z) * u) = x \ T(x,(y \ z) * u). [hyper(272,a,2672,a(flip),b,8535,a),flip(a)]. 8547 K(x,((1 / y) \ z) \ u) = K(x,(z \ (y \ 1)) * u). [hyper(58,a,6082,a(flip),b,8535,a)]. 8548 K(x,((1 / y) \ z) * u) = K(x,(y * z) * u). [para(74(a,1),8535(a,1,2,1,1)),flip(a)]. 8549 T(x,y * ((z * u) / z)) = T(x,y * (u * K(z,u))). [para(2873(a,2),8539(a,1,2,2,2)),flip(a)]. 8550 T(x,y * (z * (1 / u))) = T(x,y * (z / u)). [para(3537(a,1),8539(a,1,2,2))]. 8551 T(x,y * (z * (u / z))) = x * K(x,y * T(u,z)). [hyper(272,a,2674,a(flip),b,8540,a),flip(a)]. 8552 T(x,y * T(z * u,z)) = T(x,y * (u * z)). [para(2806(a,1),8540(a,1,2,2)),flip(a)]. 8553 K(x,T(y * z,z) \ u) = K(x,(z * y) \ u). [para(6(a,1),8545(a,1,2,1,2)),flip(a)]. 8554 K(x,(y * (z / y)) * u) = K(x,T(z,y) * u). [para(2920(a,2),8548(a,1,2,1)),flip(a)]. 8555 T(x,y * (z / y)) != u | T(x,T(z,y)) = u. [para(8550(a,1),6122(a,1))]. 8556 T(x,y * (((y \ z) * u) * y)) = T(x,z * (u * y)). [hyper(58,a,6060,a,b,8552,a)]. 8557 T(x,y * T(R(z,u,w) * (u * w),R(z,u,w))) = T(x,y * ((T(z,u * w) * u) * w)). [para(2790(a,2),8552(a,2,2,2))]. 8558 T(x,y * (z * ((1 / u) * w))) = T(x,y * (z * (u \ w))). [para(1996(a,1),8463(a,1,2,2,2)),flip(a)]. 8559 T(x,y * (z * ((u \ 1) \ w))) = T(x,y * (z * (u * w))). [para(2002(a,1),8463(a,1,2,2,2))]. 8560 T(x,(y * (z * u)) / u) = T(x,u * ((u \ y) * z)). [para(2027(a,1),8463(a,1,2))]. 8561 T(x,y * (z * (u * (w \ 1)))) = T(x,y * (z * (u / w))). [para(3112(a,1),8463(a,1,2,2,2)),flip(a)]. 8562 T(x,y * (z * (T(u,w) / w))) = T(x,y * (z * (w \ u))). [para(3129(a,1),8463(a,1,2,2,2))]. 8563 T(x,y * (z * ((u * u) * w))) = T(x,y * (z * (u * (u * w)))). [para(3559(a,1),8463(a,1,2,2,2)),flip(a)]. 8564 T(x,(y * (1 / z)) * u) = T(x,(y / z) * u). [para(2972(a,1),8464(a,1,2,1)),flip(a)]. 8565 T(x,T(y * z,y) * u) = T(x,(z * y) * u). [para(3120(a,1),8464(a,1,2,1))]. 8566 T(x,y \ ((y * z) * u)) = T(x,(z * (u / y)) * y). [para(3121(a,1),8464(a,1,2))]. 8567 T(x,y \ (z * (u * y))) = T(x,((y \ z) * u) * y). [para(4757(a,1),8464(a,1,2))]. 8568 T(x,(y * (1 / z)) / u) = T(x,(y / z) * (u \ 1)). [hyper(6059,a,8564,a)]. 8569 K(x,y * (T(z / u,z) \ w)) = K(x,y * ((u \ z) \ w)). [para(2340(a,1),8487(a,1,2,2,1))]. 8570 T(x,y \ (T(z,z * u) \ w)) = T(x,y \ (T(z,u) \ w)). [para(5394(a,1),8491(a,1,2,2,1))]. 8571 T(x,y * (((z * z) \ u) * w)) = T(x,y * ((z \ (z \ u)) * w)). [para(254(a,1),8493(a,1,2,2,1))]. 8572 T(x,y * (((1 / z) * u) * w)) = T(x,y * ((z \ u) * w)). [para(1996(a,1),8493(a,1,2,2,1)),flip(a)]. 8573 T(x,y * ((z / (1 / u)) * w)) = T(x,y * ((z * u) * w)). [para(2020(a,1),8493(a,1,2,2,1)),flip(a)]. 8574 T(x,y * (T(z,u \ 1) * w)) = T(x,y * (T(z,u) * w)). [para(2792(a,1),8493(a,1,2,2,1))]. 8575 T(x,y * ((z \ T(u,z)) * w)) = T(x,y * ((u / z) * w)). [para(2933(a,1),8493(a,1,2,2,1))]. 8576 T(x,y * ((z * (u \ 1)) * w)) = T(x,y * ((z / u) * w)). [para(3112(a,1),8493(a,1,2,2,1)),flip(a)]. 8577 T(x,y * ((T(z,u) / u) * w)) = T(x,y * ((u \ z) * w)). [para(3129(a,1),8493(a,1,2,2,1))]. 8578 T(x,y * (((z * z) * u) * w)) = T(x,y * ((z * (z * u)) * w)). [para(3559(a,1),8493(a,1,2,2,1)),flip(a)]. 8579 T(x,y * (((z \ 1) \ u) \ w)) = T(x,y * ((z * u) \ w)). [para(2002(a,1),8494(a,1,2,2,1))]. 8580 T(x,y * (T(z,u \ 1) \ w)) = T(x,y * (T(z,u) \ w)). [para(2792(a,1),8494(a,1,2,2,1))]. 8581 T(x,y \ ((z * u) * u)) = T(x,y \ (u * (u * z))). [hyper(58,a,5198,a,b,8470,a)]. 8582 T(x,((y \ T(z,y)) * z) * u) = T(x,(z * (z / T(y,z))) * u). [para(2245(a,1),8476(a,1,2,1,1))]. 8583 T(x,((1 / y) / z) * u) = T(x,(y \ (z \ 1)) * u). [para(74(a,1),8478(a,1,2,1,1)),flip(a)]. 8584 T(x,(y * (1 / z)) \ u) = T(x,(z / y) * u). [hyper(272,a,8564,a(flip),b,8508,a),flip(a)]. 8585 T(x,((y \ 1) / z) * u) = T(x,(z * y) \ u). [para(72(a,1),8584(a,1,2,1,2)),flip(a)]. 8586 T(x,((y * z) * z) * u) = T(x,(y * (z * z)) * u). [para(2956(a,2),8510(a,2,2,1))]. 8587 T(x,((y \ 1) * z) * u) = T(x,(y \ z) * u). [hyper(2736,a,8546,a)]. 8588 T(x,((y \ 1) / z) * u) = T(x,(y \ (z \ 1)) * u). [hyper(58,a,8475,a(flip),b,8587,a)]. 8589 T(x,((1 / y) \ z) * u) = T(x,(y * z) * u). [para(74(a,1),8587(a,1,2,1,1)),flip(a)]. 8590 T(x,(y * z) * (u * y)) = T(x,y * ((z * u) * y)). [para(27(a,1),8589(a,1,2)),flip(a)]. 8591 T(x,T(y * z,z) * u) = T(x,(z * y) * u). [para(2773(a,2),8589(a,1,2,1))]. 8592 K(x,T(y * z,z) \ u) = K(x,(y \ (z \ 1)) * u). [para(2773(a,2),8547(a,1,2,1))]. 8593 T(x,y * ((z * u) / z)) = T(x,y * T(u,z)). [para(2652(a,2),8549(a,2,2,2))]. 8594 T(x,y * T(T(z,u),u)) = T(x,y * z). [para(206(a,1),8593(a,1,2,2)),flip(a)]. 8595 T(x,y * (z * (u / z))) != w | T(x,y * T(u,z)) = w. [para(8551(a,2),2737(a,1))]. 8596 T(T(x,y),(((y \ z) * u) * y) * y) = K(y,x) * T(x,z * (u * y)). [para(8556(a,1),6123(a,1,2)),flip(a)]. 8597 T(x,(y * (1 / z)) / u) = T(x,(y / z) / u). [hyper(272,a,5988,a(flip),b,8568,a),flip(a)]. 8599 T(x,(y \ (z \ 1)) * u) = T(x,(z * y) \ u). [hyper(58,a,8585,a(flip),b,8588,a),flip(a)]. 8600 T(x,((1 / y) / z) * u) = T(x,(z * y) \ u). [hyper(58,a,8583,a,b,8599,a)]. 8601 (x \ (y \ 1)) * K(z,(x \ (y \ 1)) \ 1) = T(x \ (y \ 1),(y * x) \ z). [hyper(58,a,3398,a,b,8599,a)]. 8602 K(x,(y \ (z \ 1)) * u) = K(x,(z * y) \ u). [hyper(58,a,8553,a(flip),b,8592,a),flip(a)]. 8603 K(x,((1 / y) * z) \ u) = K(x,(z \ y) * u). [para(74(a,1),8602(a,1,2,1,2)),flip(a)]. 8604 K(x,(y * z) \ u) * ((z \ (y \ 1)) * u) = T((z \ (y \ 1)) * u,x). [para(8602(a,1),2692(a,2,1)),flip(a)]. 8605 K(x,(T(y,z) \ z) * u) = K(x,(y / z) \ u). [para(2780(a,1),8603(a,1,2,1)),flip(a)]. 8606 K(x,(y / z) \ u) = K(x,(z / y) * u). [hyper(58,a,8536,a(flip),b,8605,a),flip(a)]. 8607 K(x,(y / (z * y)) * u) = K(x,z \ u). [para(6(a,1),8606(a,1,2,1)),flip(a)]. 8608 K(x,(y / z) * (u \ 1)) / (u * (z / y)) = T(((z \ 1) \ (y \ 1)) \ (1 / u),x). [para(8606(a,1),7209(a,1,1))]. 8609 K(x,(y \ (y / z)) * u) = K(x,z \ u). [para(3305(a,1),8607(a,1,2,1))]. 8610 K(x,(y \ z) \ u) = K(x,(z \ y) * u). [para(72(a,1),8609(a,1,2,1,2)),flip(a)]. 8611 K(x,T(1 / y,z) * u) = K(x,T(y,z) \ u). [para(2254(a,1),8609(a,1,2,1))]. 8612 x \ T(x,(y \ z) * u) = K(x,(z \ y) \ u). [hyper(272,a,2672,a(flip),b,8610,a)]. 8613 K(x,(y \ z) * T(u,z \ y)) = K(x,u / (z \ y)). [hyper(58,a,5972,a(flip),b,8610,a),flip(a)]. 8614 T(x,(y \ z) \ u) = T(x,(z \ y) * u). [hyper(33,a,2672,a(flip),b,8612,a)]. 8615 K(x,(y \ z) \ u) != w | K(x,(z \ y) * u) = w. [para(8612(a,1),2691(a,1))]. 8616 T(x,((y * z) \ y) \ u) = T(x,z * u). [para(4(a,1),8614(a,2,2,1))]. 8617 T(x,(y \ (y / z)) * u) = T(x,z \ u). [para(74(a,1),8614(a,1,2,1)),flip(a)]. 8618 T(x,(y \ z) \ (u * K(z \ y,w))) = T(x,((z \ y) * u) * K(z \ y,w)). [para(4303(a,2),8614(a,2,2))]. 8619 T(x,(y \ ((y \ 1) / z)) * u) = T(x,(y * (y * z)) \ u). [para(4925(a,1),8614(a,1,2,1)),flip(a)]. 8620 T(x,(y / z) \ u) = T(x,(z / y) * u). [para(3309(a,1),8616(a,1,2,1))]. 8621 T(x,T(1 / y,z) * u) = T(x,T(y,z) \ u). [para(2254(a,1),8617(a,1,2,1))]. 8622 T(x,(y / z) \ (u * K(z / y,w))) = T(x,((z / y) * u) * K(z / y,w)). [para(4303(a,2),8620(a,2,2))]. 8623 T(x,y) \ T(T(x,(z / u) * w),y) = K(x,T((u / z) \ w,y)). [para(8620(a,1),5262(a,1,2,1))]. 8624 K(x,y / ((z \ u) \ 1)) = K(x,y / (u \ z)). [para(4463(a,1),8613(a,1,2))]. 8625 K(x,y / (z \ u)) = K(x,y * (u \ z)). [hyper(6111,a,8624,a),flip(a)]. 8627 K(x,y / (z \ x)) = K(x,x \ (y * z)). [hyper(272,a,8042,a,b,8625,a),flip(a)]. 8628 K(x,y * ((z * u) \ u)) = K(x,y / T(z,u)). [para(17(a,2),8625(a,1,2,2)),flip(a)]. 8629 x * K((y \ z) \ 1,x * (y \ z)) = (z \ y) * (x / (z \ y)). [para(8625(a,1),4333(a,1,2))]. 8630 K(x,x \ (y * (x / z))) = K(x,y / z). [para(74(a,1),8627(a,1,2,2)),flip(a)]. 8631 K(x,y \ T(z,y \ x)) = K(x,z / y). [hyper(58,a,8111,a,b,8630,a)]. 8632 K(x,T(y,(z \ 1) \ x) / T(z \ 1,T(y,(z \ 1) \ x) * z)) = K(x,y / (z \ 1)). [para(3547(a,2),8631(a,1,2))]. 8633 K(x,y * T(z \ 1,u)) = K(x,y / T(z,u)). [para(2258(a,2),8628(a,1,2,2))]. 8634 T(x \ 1,y) * (z * (T(1 / x,y) \ 1)) = z * K(T(x,y),z / T(x,y)). [para(8633(a,1),7589(a,2,2))]. 8635 T(x,y * (z * (L(u,w,w) * v5))) = T(x,y * (z * (u * v5))). [para(4784(a,1),8495(a,1,2,2,2))]. 8636 T(x,y * (z * (L(u,w,w) \ v5))) = T(x,y * (z * (u \ v5))). [para(6140(a,1),8495(a,1,2,2,2))]. 8637 T(x,y * (z * (u * (w * L(v5,v6,v6))))) = T(x,y * (z * (u * (w * v5)))). [para(8390(a,1),8495(a,1,2,2,2))]. 8638 T(x,y * (z * ((L(u,w,w) * v5) * v6))) = T(x,y * (z * ((u * v5) * v6))). [para(8420(a,1),8495(a,1,2,2,2))]. 8639 (x * y) \ (x * ((y * z) * a(u,u,w))) = L(z,y,x) * a(u,u,w). [para(13(a,2),8374(a,2,1))]. 8640 (x * x) \ (y * (x * a(z,z,u))) = (y / x) * a(z,z,u). [para(3263(a,1),8374(a,2,1))]. 8641 (x * (a(y,z,z) * u)) * w = (x * u) * (a(y,z,z) * w). [para(5600(a,2),8375(a,1,1,2))]. 8642 x \ ((x * y) * L(z,L(x,u,u),L(x,u,u))) = (y * (z / L(x,u,u))) / (1 / L(x,u,u)). [hyper(58,a,6484,a(flip),b,8435,a),flip(a)]. 8643 (T(x,x \ y) / y) \ ((L(y \ x,y \ x,y \ x) * z) * u) = (y \ x) \ (((y \ x) * z) * u). [para(5727(a,1),8435(a,1,1))]. 8644 (x * (y * (1 / z))) / (1 / L(z,u,u)) = z \ ((L(z,u,u) * x) * y). [hyper(58,a,7496,a,b,8436,a)]. 8645 L(x,y,y) \ (z * (z * (x * u))) = x \ ((L(x,y,y) * u) * (z * z)). [para(2956(a,1),8436(a,1,2))]. 8646 K(x,(y * (z * (1 / y))) * u) = K(x,T(z,y) * u). [hyper(272,a,8554,a(flip),b,8537,a),flip(a)]. 8647 T(x,y * (z \ ((1 / u) * w))) = T(x,y * ((z \ 1) * (u \ w))). [hyper(58,a,8519,a(flip),b,8558,a)]. 8648 T(x,y * (z * ((u \ w) / u))) = T(x,y * (z * (u \ (w / u)))). [para(376(a,1),8558(a,1,2,2,2))]. 8649 T(x,y * (z * (u / T(w,u)))) = T(x,y * (z * (w \ u))). [para(2242(a,2),8558(a,1,2,2,2))]. 8650 T(x,y * (z * ((u * w) * w))) = T(x,y * (z * (w * (w * u)))). [para(3503(a,1),8559(a,1,2,2,2))]. 8651 T(x,y * (z * ((1 / u) / w))) = T(x,y * (z * (u \ (w \ 1)))). [hyper(58,a,8558,a(flip),b,8561,a),flip(a)]. 8652 K(x,y * (((z \ u) \ u) \ w)) = K(x,y * (T(z,u) \ w)). [para(72(a,1),8569(a,1,2,2,1,1)),flip(a)]. 8653 T(x,y \ (T(z,u * z) \ w)) = T(x,y \ (T(z,u) \ w)). [para(2315(a,2),8570(a,1,2,2,1))]. 8654 T(x,y \ T(z \ 1,u)) = T(x,y \ (T(z,u) \ 1)). [para(3388(a,1),8570(a,1,2,2))]. 8655 T(x,y \ T(1 / z,u)) = T(x,y \ (T(z,u) \ 1)). [hyper(58,a,5787,a,b,8654,a)]. 8656 T(x,y * (((z \ u) / z) * w)) = T(x,y * ((z \ (u / z)) * w)). [para(376(a,1),8572(a,1,2,2,1))]. 8657 T(x,y * ((z \ 1) * ((z * (1 / u)) * w))) = T(x,y * ((u \ (w * (z \ 1))) * z)). [para(6419(a,1),8572(a,1,2,2))]. 8658 T(x,y * (((z * u) * u) * w)) = T(x,y * ((u * (u * z)) * w)). [para(3574(a,1),8573(a,1,2,2,1)),flip(a)]. 8659 T(x,y * (T(z,u \ 1) / w)) = T(x,y * (T(z,u) * (w \ 1))). [hyper(58,a,8483,a(flip),b,8574,a)]. 8660 T(x,y * ((z \ T(u,z)) / w)) = T(x,y * ((u / z) * (w \ 1))). [hyper(58,a,8483,a(flip),b,8575,a)]. 8661 T(x,y * ((T(z,u \ 1) / u) * w)) = T(x,y * (((u \ 1) * z) * w)). [para(2778(a,1),8576(a,1,2,2,1)),flip(a)]. 8662 T(x,y * ((z * (u * ((w \ u) \ 1))) * v5)) = T(x,y * ((z / (L(w,u,u) \ 1)) * v5)). [para(4950(a,1),8576(a,1,2,2,1,2))]. 8663 T(x,y * ((T(z,u) / T(u,w)) * v5)) = T(x,y * (((u \ z) * K(u,w)) * v5)). [para(5192(a,1),8576(a,1,2,2,1)),flip(a)]. 8664 T(x,y * (((z * u) * z) \ w)) = T(x,y * ((z * (u * z)) \ w)). [para(3502(a,1),8579(a,1,2,2,1))]. 8665 T(x,K(y,z \ 1) * u) = T(x,y * (T(y,z) \ u)). [para(3946(a,1),8580(a,1,2))]. 8666 T(x,K(y,z \ 1) * u) = T(x,K(y,z) * u). [para(3946(a,1),8665(a,2,2))]. 8667 ((x * y) * (a(z,u,u) * w)) / ((a(z,u,u) * y) * w) = R(x,a(z,u,u) * y,w). [hyper(113,a,8641,a(flip),b,93,a)]. 8668 (x * L(y,z,z)) * (a(y,z,z) * u) = (x * y) * u. [para(3807(a,1),8641(a,1,1,2)),flip(a)]. 8669 K(x,(y * L(z,u,u)) * w) = K(x,(y * z) * w). [para(8668(a,1),8488(a,1,2)),flip(a)]. 8670 T(x,(y * L(z,u,u)) * w) = T(x,(y * z) * w). [para(8668(a,1),8492(a,1,2)),flip(a)]. 8671 K(x,(y * ((z \ 1) \ u)) * w) = K(x,(y * (z * u)) * w). [para(2002(a,1),8669(a,1,2,1,2))]. 8672 T(x,(y * ((1 / z) * u)) * w) = T(x,(y * (z \ u)) * w). [para(1996(a,1),8670(a,1,2,1,2)),flip(a)]. 8673 T(x,(y * ((z \ 1) \ u)) * w) = T(x,(y * (z * u)) * w). [para(2002(a,1),8670(a,1,2,1,2))]. 8674 T(x,(y * (z \ T(u,z))) * w) = T(x,(y * (u / z)) * w). [para(2933(a,1),8670(a,1,2,1,2))]. 8675 T(x,(y * (z * (u \ 1))) * w) = T(x,(y * (z / u)) * w). [para(3112(a,1),8670(a,1,2,1,2)),flip(a)]. 8676 T(x,(y * (((1 / z) * u) * ((z / y) \ 1))) * w) = T(x,((y / z) * (u * (y * (1 / z)))) * w). [para(7459(a,1),8670(a,1,2,1))]. 8677 K(x,y * (T(z,z \ u) \ w)) = K(x,y * (T(z,u) \ w)). [para(99(a,2),8652(a,1,2,2,1))]. 8678 T(x,(y * ((z \ u) / z)) * w) = T(x,(y * (z \ (u / z))) * w). [para(376(a,1),8672(a,1,2,1,2))]. 8679 T(x,(y * (z / T(u,z))) * w) = T(x,(y * (u \ z)) * w). [para(2242(a,2),8672(a,1,2,1,2))]. 8680 T(x,(y * ((1 / z) / u)) * w) = T(x,(y * (z \ (u \ 1))) * w). [hyper(58,a,8672,a(flip),b,8675,a),flip(a)]. 8681 T(x,(y \ (z * z)) * u) = T(x,(z * (z / y)) * u). [para(3290(a,1),8675(a,1,2,1))]. 8682 K(x,y * (T(z,u) \ (z * w))) = K(x,y * (K(z \ u,z) * w)). [para(3939(a,1),8677(a,1,2,2)),flip(a)]. 8683 T(x,y * (z * ((1 / u) \ w))) = T(x,y * (z * (u * w))). [para(2000(a,1),8496(a,1,2,2,2))]. 8684 T(x,y * (z * ((u \ 1) * w))) = T(x,y * (z * (u \ w))). [para(2030(a,1),8496(a,1,2,2,2)),flip(a)]. 8685 T(x,y * ((z * (u * w)) / w)) = T(x,y * (w * ((w \ z) * u))). [para(2027(a,1),8496(a,1,2,2))]. 8686 T(x,y * (z * (u * (w * (v5 \ 1))))) = T(x,y * (z * (u * (w / v5)))). [para(3112(a,1),8496(a,1,2,2,2,2)),flip(a)]. 8687 T(x,y * (z * (u * ((w \ 1) \ (v5 \ 1))))) = T(x,y * (z * (u * (w / v5)))). [para(6992(a,1),8496(a,1,2,2,2,2))]. 8688 T(x,y * (z * ((1 / u) \ w))) = T(x,y * (z * ((u \ 1) \ w))). [hyper(272,a,8559,a,b,8683,a),flip(a)]. 8689 T(x,y * (z * ((u \ 1) / w))) = T(x,y * (z * (u \ (w \ 1)))). [hyper(58,a,8561,a(flip),b,8684,a)]. 8690 T(x,y * ((z * (1 / u)) * w)) = T(x,y * ((z / u) * w)). [para(2972(a,1),8497(a,1,2,2,1)),flip(a)]. 8691 T(x,y * (z * (u * (1 / w)))) = T(x,y * (z * (u / w))). [para(2972(a,1),8635(a,1,2,2,2)),flip(a)]. 8692 T(x,y * (z * ((u * (w \ 1)) * v5))) = T(x,y * (z * ((u / w) * v5))). [para(3112(a,1),8635(a,1,2,2,2,1)),flip(a)]. 8693 T(x,y * (z * (((u * u) * w) * v5))) = T(x,y * (z * ((u * (u * w)) * v5))). [para(3559(a,1),8635(a,1,2,2,2,1)),flip(a)]. 8694 T(x,T(y,z * (u * (1 / w))) * (z * (u / w))) = T(x,(z * (u * (1 / w))) * y). [hyper(5779,a,8691,a),flip(a)]. 8695 T(x,y * (z * (u * L(1 / w,v5,v5)))) = T(x,y * (z * (u / w))). [hyper(58,a,8496,a,b,8691,a)]. 8696 T(x,y * (z * ((1 / u) / w))) = T(x,y * (z * (u \ (1 / w)))). [hyper(58,a,8558,a(flip),b,8691,a),flip(a)]. 8697 T(x,y * (z \ (u * (1 / w)))) = T(x,y * ((z \ 1) * (u / w))). [hyper(58,a,8519,a(flip),b,8691,a)]. 8698 K(x,y * (z * (u * (1 / w)))) = x \ T(x,y * (z * (u / w))). [hyper(112,a,8691,a(flip),b,2674,a(flip)),flip(a)]. 8699 T(x,y * ((1 / T(z,u * (1 / w))) * (u / w))) = T(x,y * ((u * (1 / w)) / z)). [para(2793(a,1),8691(a,1,2,2)),flip(a)]. 8700 T(x,(y \ (y \ z)) * (((y * y) \ z) * (y \ (y \ z)))) = T(x,(y \ (y \ z)) \ 1). [hyper(272,a,7737,a(flip),b,8571,a),flip(a)]. 8701 T(x,y * ((z * (z * (u / y))) * y)) = T(x,((1 / y) \ (z * z)) * u). [para(108(a,1),8578(a,1,2)),flip(a)]. 8702 T(x,((y \ z) * T(z,y)) * u) = T(x,(z * (z / T(y,z))) * u). [para(5699(a,1),8582(a,1,2,1))]. 8703 K(x,T((y / z) \ u,w)) != v5 | K(x,T((z / y) * u,w)) = v5. [para(8623(a,1),5355(a,1))]. 8704 (x \ y) * (z * (1 / (x \ y))) = (y \ x) * (z / (y \ x)). [hyper(58,a,6164,a(flip),b,8629,a)]. 8705 ((x \ y) * (z / (x \ y))) / (y \ x) = ((y \ x) \ 1) * z. [hyper(113,a,8704,a(flip),b,3342,a)]. 8706 (x \ y) * ((z / (1 / (y \ x))) / (x \ y)) = (y \ x) * z. [para(7(a,1),8704(a,1,2)),flip(a)]. 8707 ((x \ y) \ 1) * ((y \ x) * z) = (z * (y \ x)) / (x \ y). [para(2806(a,1),8705(a,1,1)),flip(a)]. 8708 T(x,y * (z \ ((1 / u) * w))) = T(x,y * (z \ (u \ w))). [hyper(272,a,8519,a(flip),b,8647,a),flip(a)]. 8709 T(x,y * (z \ ((1 / u) * ((w * (v5 * u)) / u)))) = T(x,y * (z \ ((u \ w) * L(v5,u,u)))). [para(2019(a,1),8708(a,2,2,2,2))]. 8710 T(x,y * (z \ (T(u,w) \ w))) = T(x,y * (z \ (w / u))). [para(2793(a,1),8708(a,1,2,2,2)),flip(a)]. 8711 T(x,y * (z \ (u * (w \ 1)))) = T(x,y * (z \ (u / w))). [para(2935(a,1),8710(a,1,2,2,2))]. 8712 T(x,y * (z \ ((1 / u) / w))) = T(x,y * (z \ (u \ (w \ 1)))). [hyper(58,a,8708,a(flip),b,8711,a),flip(a)]. 8713 T(x,y * (z * ((u * w) * w))) = T(x,y * (z * (u * (w * w)))). [para(2956(a,2),8650(a,2,2,2,2))]. 8714 T(x,y * ((z \ (((z * u) * w) / z)) * v5)) = T(x,y * ((L(u,z,z) * (w / z)) * v5)). [para(3141(a,1),8656(a,1,2,2,1)),flip(a)]. 8715 T(x,y * (((z * u) * u) * w)) = T(x,y * ((z * (u * u)) * w)). [para(2956(a,2),8658(a,2,2,2,1))]. 8716 T(x,y * (T(z,u \ 1) / w)) = T(x,y * (T(z,u) / w)). [hyper(272,a,8483,a(flip),b,8659,a),flip(a)]. 8717 T(x,y * ((z \ T(u,z)) / w)) = T(x,y * ((u / z) / w)). [hyper(272,a,8483,a(flip),b,8660,a),flip(a)]. 8718 T(x,y * ((z * (u \ 1)) / w)) = T(x,y * ((z / u) / w)). [para(2789(a,1),8717(a,1,2,2,1))]. 8719 K(x,y * (K(z \ u,z) * w)) = K(x,y * (K(u,z) * w)). [para(3939(a,1),8682(a,1,2,2)),flip(a)]. 8720 K(x,y * (K(z \ u,z) * ((T(z,u) \ u) \ w))) = K(x,y * ((z \ u) \ w)). [para(5791(a,1),8719(a,2,2,2))]. 8721 T(x,y * (y * ((y \ z) * u))) = T(x,T(z * (u * y),y)). [hyper(8555,a,8685,a),flip(a)]. 8722 T(x,y * (z \ (u * (1 / w)))) = T(x,y * (z \ (u / w))). [hyper(272,a,8519,a(flip),b,8697,a),flip(a)]. 8723 K(x,y * (z * (u * (1 / w)))) = K(x,y * (z * (u / w))). [hyper(272,a,2672,a,b,8698,a),flip(a)]. 8724 T(x,((y \ z) * T(z,y)) * u) = T(x,(z * (y \ z)) * u). [hyper(272,a,8679,a(flip),b,8702,a),flip(a)]. 8725 ((x * y) * (z * a(u,w,u))) / ((y * z) * a(u,w,u)) = R(x,y,z). [para(8335(a,1),8365(a,1,1))]. 8726 a(x,y,x) * ((z * u) \ (z * (u * w))) = L(w * a(x,y,x),u,z). [hyper(58,a,8380,a(flip),b,8377,a)]. 8727 (a(x,y,x) * ((z * u) * w)) / (u * w) = R(a(x,y,x) * z,u,w). [para(8391(a,1),8399(a,1,1))]. 8728 L(x,(y * z) \ ((y * u) * z),x) = L(x,R(u,y,z),x). [hyper(58,a,8417,a(flip),b,8418,a),flip(a)]. 8730 (x * y) \ (x * (y * (z * a(u,u,w)))) = L(z,y,x) * a(u,u,w). [para(8351(a,1),8639(a,1,2,2))]. 8731 T(x,y * (z * (u * (1 / L(w,v5,v5))))) = T(x,y * (z * (u / w))). [para(3790(a,1),8695(a,1,2,2,2,2))]. 8732 ((x * y) * (z * a(u,w,u))) / (y * (z * a(u,w,u))) = R(x,y,z). [para(8335(a,1),8725(a,1,2))]. 8733 L(x * a(y,z,y),u,w) = a(y,z,y) * L(x,u,w). [para(13(a,2),8726(a,1,2)),flip(a)]. 8734 L(x * a(y,z,y),u,w) = L(x,u,w) * a(y,z,y). [hyper(272,a,6640,a(flip),b,8733,a),flip(a)]. 8735 L(x * a(y,z,y),u,w) * v5 = L(x,u,w) * (a(y,z,y) * v5). [para(8734(a,2),8344(a,1,1))]. 8736 L(x,y,z) * (a(u,x,u) * u) = u * L(u \ T(u * x,u),y,z). [hyper(6630,a,8735,a),flip(a)]. 8737 a(x,y,x) * (((z * u) * w) / (u * w)) = R(a(x,y,x) * z,u,w). [hyper(58,a,8369,a(flip),b,8727,a)]. 8738 L(x * a(y,y,z),u,w) = L(x,u,w) * a(y,y,z). [hyper(430,a,8730,a)]. 8739 T(x,y * (z * (u / L(w,v5,v5)))) = T(x,y * (z * (u / w))). [hyper(58,a,8691,a(flip),b,8731,a)]. 8740 T(x,y * (z * (u * ((w \ 1) * (1 / v5))))) = T(x,y * (z * (u / (v5 * w)))). [para(4186(a,1),8731(a,1,2,2,2,2))]. 8741 T(x,y * (z * (u / (w / (1 / v5))))) = T(x,y * (z * (u / (w * v5)))). [para(2020(a,1),8739(a,1,2,2,2,2)),flip(a)]. 8742 T(x,y * (z * (u / (w * (v5 \ 1))))) = T(x,y * (z * (u / (w / v5)))). [para(3112(a,1),8739(a,1,2,2,2,2)),flip(a)]. 8743 R(x,y,z * a(u,w,u)) = R(x,y,z). [hyper(457,a,8732,a)]. 8744 R(x,y,(z * u) * z) = R(x,y,z * (u * z)). [para(79(a,1),8743(a,1,3))]. 8745 R(x,y,T(z * u,z)) = R(x,y,u * z). [para(6622(a,1),8743(a,1,3))]. 8746 R(x,y,L(z,u,z) \ w) = R(x,y,z \ w). [para(6633(a,1),8743(a,1,3))]. 8747 R(x,y,z * a(u,w,w)) = R(x,y,z). [para(6793(a,2),8743(a,1,3,2))]. 8748 R(x,y,L(z,u,u)) = R(x,y,z). [para(1183(a,2),8747(a,1,3))]. 8749 R(x,y,a(z,u,u) * w) = R(x,y,w). [para(5600(a,2),8747(a,1,3))]. 8750 R(x,y,a(z,z,u) * w) = R(x,y,w). [para(5629(a,2),8747(a,1,3))]. 8751 R(x,y,(1 / z) * u) = R(x,y,z \ u). [para(1996(a,1),8748(a,1,3)),flip(a)]. 8752 R(x,y,T(z,u \ 1)) = R(x,y,T(z,u)). [para(2792(a,1),8748(a,1,3))]. 8753 R(x,y,z * (u \ 1)) = R(x,y,z / u). [para(3112(a,1),8748(a,1,3)),flip(a)]. 8754 R(x,y,L(z,u,u) * w) = R(x,y,z * w). [para(8311(a,1),8749(a,1,3))]. 8755 R(x,y,z * L(u,w,w)) = R(x,y,z * u). [para(8385(a,1),8750(a,1,3))]. 8756 R(x,y,z * y) = R(x,y,y * z). [hyper(58,a,8091,a(flip),b,8745,a),flip(a)]. 8757 R(x,y,T(z,z * u) \ w) = R(x,y,T(1 / z,u) * w). [para(3336(a,1),8751(a,1,3,1)),flip(a)]. 8758 R(x,y,((z \ 1) * (1 / u)) * w) = R(x,y,(u / (1 / z)) \ w). [para(4173(a,1),8751(a,1,3,1))]. 8759 R(x,y,z * (u \ (w \ u))) = R(x,y,z / T(w,u)). [para(2999(a,1),8753(a,1,3,2))]. 8760 R(x,y,z * (u * ((w \ 1) \ 1))) = R(x,y,z / (w \ (1 / u))). [para(4097(a,1),8753(a,1,3,2))]. 8761 R(x,y,z / L(u / w,u,u)) = R(x,y,z * ((1 / w) \ (1 / u))). [para(5114(a,1),8753(a,1,3,2)),flip(a)]. 8762 R(x,y,T(L(z,z,T(z \ 1,u)) \ 1,u) \ w) = R(x,y,T(z \ 1,u) \ w). [para(5082(a,1),8746(a,1,3,1))]. 8763 R(x,y,T(z,z * u) \ w) = R(x,y,T(z,u) \ w). [para(5394(a,1),8746(a,1,3,1))]. 8764 R(x,y,((1 / z) * u) * w) = R(x,y,(z \ u) * w). [para(1996(a,1),8754(a,1,3,1)),flip(a)]. 8765 R(x,y,z * (1 / u)) = R(x,y,z / u). [para(2972(a,1),8754(a,1,3)),flip(a)]. 8766 R(x,y,(z * (u \ 1)) * w) = R(x,y,(z / u) * w). [para(3112(a,1),8754(a,1,3,1)),flip(a)]. 8767 R(x,y,(T(z,u) / u) * w) = R(x,y,(u \ z) * w). [para(3129(a,1),8754(a,1,3,1))]. 8768 R(x,y,(z \ 1) * u) = R(x,y,z \ u). [para(2030(a,1),8755(a,1,3)),flip(a)]. 8769 R(x,y,z * (u * (w \ 1))) = R(x,y,z * (u / w)). [para(3112(a,1),8755(a,1,3,2)),flip(a)]. 8770 R(x,y,(z \ 1) / u) = R(x,y,z \ (u \ 1)). [hyper(58,a,8753,a(flip),b,8768,a)]. 8771 R(x,y,((1 / z) / u) * w) = R(x,y,(z \ (u \ 1)) * w). [hyper(58,a,8764,a(flip),b,8766,a),flip(a)]. 8772 R(x,y,z * (u / z)) = R(x,y,T(u,z)). [para(2843(a,2),8769(a,1,3)),flip(a)]. 8773 R(x,y,K(z,u) * T(w,z)) = R(x,y,T(z,u) * (w / z)). [para(3205(a,1),8769(a,1,3))]. 8774 R(x,y,T(1 / z,u) * w) = R(x,y,T(z,u) \ w). [hyper(58,a,8763,a(flip),b,8757,a),flip(a)]. 8775 R(x,y,T(z \ 1,u) \ w) = R(x,y,T(z,u) * w). [para(72(a,1),8774(a,1,3,1,1)),flip(a)]. 8776 R(x,y,z / (u \ (1 / w))) = R(x,y,z * (w / (u \ 1))). [hyper(58,a,8769,a(flip),b,8760,a),flip(a)]. 8777 L(x,y,z) * R(u,x,u) = u * L(u \ T(u * x,u),y,z). [para(6611(a,1),8736(a,1,2))]. 8778 L(x,y,z) \ T(u * L(u \ (u * x),y,z),u) = R(u,x,u). [hyper(112,a,1422,a,b,8777,a)]. 8779 L(x,y,z) \ T(u * L(x,y,z),u) = R(u,x,u). [para(4(a,1),8778(a,1,2,1,2,1))]. 8780 R(x,L(y,z,u),x) = R(x,y,x). [hyper(2336,a,8779,a)]. 8781 L(x,y,z) * R(u,x,u) = T(u * L(x,y,z),u). [hyper(127,a,8779,a)]. 8782 a(x,L(y,z,u),x) = x \ R(x,y,x). [para(8780(a,1),6606(a,1,2)),flip(a)]. 8783 a(x,L(y,z,u),x) = a(x,y,x). [hyper(272,a,6606,a(flip),b,8782,a),flip(a)]. 8784 L(x,L(y,z,u),x) = a(x,y,x) \ x. [para(8783(a,1),6614(a,1,1)),flip(a)]. 8785 L(x,L(y,z,u),x) = L(x,y,x). [hyper(272,a,6614,a(flip),b,8784,a),flip(a)]. 8786 L(x,L(y,z,u) \ y,x) = L(x,a(u,z,y),x). [para(1456(a,2),8785(a,1,2)),flip(a)]. 8787 K(x,x * y) * T(x * L(y,z,u),x) = L(y,z,u) * T(x,y). [para(8781(a,1),6934(a,1,2))]. 8788 T(T(x,x * y) * L(y,z,u),x) = L(y,z,u) * T(x,y). [hyper(4714,a,8787,a)]. 8789 T(x * L(y,z,u),x * y) = L(y,z,u) * T(x,y). [hyper(58,a,7118,a(flip),b,8788,a)]. 8790 (x * L(y,z,u)) \ (L(y,z,u) * T(x,y)) = K(x * L(y,z,u),x * y). [hyper(112,a,8789,a(flip),b,2674,a(flip))]. 8791 (L(x,y,z) * T(u,x)) \ (u * L(x,y,z)) != w | K(u * x,u * L(x,y,z)) = w. [para(8789(a,1),2655(a,1,1))]. 8792 R(a(x,y,x) * z,u,w) = a(x,y,x) * R(z,u,w). [para(15(a,2),8737(a,1,2)),flip(a)]. 8793 a(x,y,x) \ R(a(x,y,x) * z,u,w) = R(z,u,w). [hyper(112,a,8792,a,b,xx)]. 8795 R(x * a(y,z,y),u,w) = R(x,u,w) * a(y,z,y). [para(8793(a,1),2395(a,1,1)),flip(a)]. 8796 a(x,R(y,z,u),x) = a(x,y,x). [hyper(6686,a,8795,a)]. 8797 a(x,(y * z) \ (u * z),x) = a(x,y \ u,x). [hyper(58,a,8419,a(flip),b,8796,a)]. 8798 a(x,y,x) * (R(y,z,u) * x) = T(x * R(y,z,u),x). [para(8796(a,1),6654(a,1,1))]. 8801 a(x,(y / z) \ u,x) = a(x,y \ (u * z),x). [para(7(a,1),8797(a,1,2,1)),flip(a)]. 8802 a(x,y \ (z * u),x) \ x = L(x,(y / u) \ z,x). [para(8801(a,1),6614(a,1,1))]. 8803 L(x,(y / z) \ u,x) = L(x,y \ (u * z),x). [hyper(6659,a,8802,a),flip(a)]. 8804 L(x,(y * z) \ (u * z),x) = L(x,y \ u,x). [para(6(a,1),8803(a,1,2,1)),flip(a)]. 8805 L(x,R(y,z,u),x) = L(x,z \ (z * y),x). [hyper(58,a,8728,a(flip),b,8804,a)]. 8807 L(x,R(y,z,u),x) = L(x,y,x). [para(4(a,1),8805(a,2,2))]. 8808 L(x,y \ R(y,z,u),x) = L(x,a(y,z,u),x). [hyper(58,a,8416,a(flip),b,8807,a),flip(a)]. 8810 R(x,y,z) * R(u,x,u) = T(u * R(x,y,z),u). [hyper(6672,a,8798,a)]. 8811 K(x,x * y) * T(x * R(y,z,u),x) = R(y,z,u) * T(x,y). [para(8810(a,1),6935(a,1,2))]. 8812 T(T(x,x * y) * R(y,z,u),x) = R(y,z,u) * T(x,y). [hyper(4714,a,8811,a)]. 8813 T(x * R(y,z,u),x * y) = R(y,z,u) * T(x,y). [hyper(58,a,7119,a(flip),b,8812,a)]. 8814 (x * R(y,z,u)) / (R(y,z,u) * T(x,y)) = K(x * y,x * R(y,z,u)). [para(8813(a,1),2670(a,2,2)),flip(a)]. 8816 x / T(y * a(y,z,u),w) != L(w,y,a(y,z,u)) | a(y,z,u) * (y * w) = x. [para(8264(a,1),41(a,1)),flip(a)]. 8817 (x \ (T(x,y) * (z / x))) / x = (1 * (x \ (T(x,y) \ 1))) * z. [para(4999(a,1),8292(a,1,1,2))]. 8818 (K(x,y) * (z / x)) / x = (1 * (x \ (T(x,y) \ 1))) * z. [para(2748(a,1),8817(a,1,1))]. 8819 K(x,y) * ((z / x) / x) = (1 * (x \ (T(x,y) \ 1))) * z. [hyper(58,a,5744,a(flip),b,8818,a)]. 8820 K(x,y) * ((x * x) \ z) = (1 * (x \ (T(x,y) \ 1))) * z. [para(3249(a,1),8819(a,1,2))]. 8821 K(x,y) * ((x * x) \ z) = (x \ (T(x,y) \ 1)) * z. [para(2(a,1),8820(a,2,1))]. 8822 T(x,(y / ((1 / z) \ u)) * w) = T(x,(y * ((u \ 1) / z)) * w). [hyper(58,a,8675,a(flip),b,8511,a),flip(a)]. 8823 T(x,(y * ((z \ 1) / (u \ 1))) * w) = T(x,(y / (u \ z)) * w). [para(72(a,1),8822(a,1,2,1,2,1)),flip(a)]. 8824 T(x,(y * (((1 / z) * u) \ 1)) * w) = T(x,(y / (z \ u)) * w). [para(4133(a,1),8823(a,1,2,1,2))]. 8825 T(x,(y / (T(z,u) / u)) * w) = T(x,(y / (u \ z)) * w). [hyper(272,a,8824,a(flip),b,8512,a),flip(a)]. 8826 K(x,T(y * (z * (u \ 1)),w)) != v5 | K(x,T(y * (z / u),w)) = v5. [para(8526(a,1),5355(a,1))]. 8827 K(x,y \ (y \ ((y * z) * u))) != w | K(x,T(z * (u / y),y)) = w. [para(7104(a,1),8826(a,1))]. 8828 T(x,y * (((z \ 1) * (1 / u)) * w)) = T(x,y * ((u * z) \ w)). [hyper(272,a,8579,a(flip),b,8541,a),flip(a)]. 8829 T(T(x,y),y * (y * ((y \ z) * u))) = K(y,x) * T(x,z * (u * y)). [hyper(6102,a,8596,a)]. 8830 x \ ((L(x,y,y) * (z * y)) * (y \ 1)) = R(z,y,y \ (1 / L(x,y,y))). [hyper(58,a,4270,a(flip),b,8644,a),flip(a)]. 8831 T(x,y * ((T(z,u) * (1 / u)) * w)) = T(x,y * (((u \ 1) * z) * w)). [para(2926(a,1),8661(a,1,2,2,1))]. 8832 T(x,y * (z * (u * ((w \ v5) / w)))) = T(x,y * (z * (u * (w \ (v5 / w))))). [para(684(a,1),8686(a,1,2,2,2,2)),flip(a)]. 8833 T(x,y * (z * (u \ (w * w)))) = T(x,y * (z * (w * (w / u)))). [para(3290(a,1),8686(a,1,2,2,2))]. 8834 T(x,y * ((z * (z * (u / y))) * y)) = T(x,(y * (z * z)) * u). [hyper(272,a,8589,a(flip),b,8701,a),flip(a)]. 8835 T(x,T(y,z) * ((z * u) * u)) = T(x,(z * (u * u)) * y). [para(5193(a,1),8834(a,1,2))]. 8836 T(x,T(y,z) * (u * (u * z))) = T(x,(z * (u * u)) * y). [hyper(58,a,8521,a(flip),b,8835,a)]. 8837 T(x,T(y,z) * (z * (u * u))) = T(x,(z * (u * u)) * y). [para(2956(a,2),8836(a,1,2,2))]. 8838 T(x,y * (z / (u / (1 / w)))) = T(x,y * (z * (1 / (u * w)))). [hyper(58,a,8550,a(flip),b,8741,a)]. 8839 T(x,y * (z / (u / (1 / w)))) = T(x,y * (z / (u * w))). [hyper(272,a,8550,a(flip),b,8838,a),flip(a)]. 8840 T(x,y * (z / ((u * w) * u))) = T(x,y * (z / (u * (w * u)))). [para(3589(a,1),8839(a,1,2,2,2)),flip(a)]. 8841 T(x,y * ((T(z,u) / u) * w)) = T(x,y * (((u \ 1) * z) * w)). [hyper(58,a,8690,a(flip),b,8831,a)]. 8842 T(x,y * (((z \ 1) * u) * w)) = T(x,y * ((z \ u) * w)). [hyper(58,a,8577,a(flip),b,8841,a),flip(a)]. 8843 T(x,y * ((z \ (1 / u)) * w)) = T(x,y * ((u * z) \ w)). [hyper(58,a,8828,a(flip),b,8842,a),flip(a)]. 8844 T(x,y * (((z \ 1) * u) / w)) = T(x,y * ((z \ u) * (w \ 1))). [hyper(58,a,8483,a(flip),b,8842,a)]. 8845 K(x,y * (((z \ 1) * u) * w)) = x \ T(x,y * ((z \ u) * w)). [hyper(112,a,8842,a(flip),b,2674,a(flip)),flip(a)]. 8846 T(x,y * (((z \ K(z,u)) * w) * v5)) = T(x,y * ((T(z,u) \ w) * v5)). [para(2656(a,1),8842(a,1,2,2,1,1))]. 8847 T(x,y * (((K(z,u) * w) \ v5) * v6)) = T(x,y * (((w \ K(z,u)) * v5) * v6)). [para(5610(a,1),8842(a,1,2,2,1,1)),flip(a)]. 8848 T(x,y * (((z \ 1) * u) / w)) = T(x,y * ((z \ u) / w)). [hyper(272,a,8483,a(flip),b,8844,a),flip(a)]. 8849 T(x,y * (((z \ 1) / u) / w)) = T(x,y * ((z \ (u \ 1)) / w)). [hyper(58,a,8718,a(flip),b,8848,a)]. 8850 T(x,y * (((z \ 1) * (u * z)) / w)) = T(x,y * (T(u,z) / w)). [para(17(a,2),8848(a,2,2,2,1))]. 8851 T(x,y * (((z / (u \ 1)) \ (u \ 1)) / w)) = T(x,y * ((u \ (((u \ 1) \ z) \ 1)) / w)). [para(3007(a,1),8848(a,1,2,2,1))]. 8852 T(x,y * ((z \ (u \ 1)) * (z \ (u \ 1)))) = T(x,y * ((u \ (z \ (u \ 1))) / z)). [para(3277(a,1),8848(a,1,2,2))]. 8853 T(x,y * ((((z * u) \ 1) / u) / w)) = T(x,y * ((u \ (z \ (u \ 1))) / w)). [para(5111(a,1),8848(a,1,2,2,1))]. 8854 K(x,y * (((z \ 1) * u) * w)) = K(x,y * ((z \ u) * w)). [hyper(272,a,2672,a,b,8845,a),flip(a)]. 8855 K(x \ 1,x * ((x \ y) * z)) = K(x,y * (z * x)). [hyper(58,a,6898,a(flip),b,8854,a),flip(a)]. 8856 K(x,x \ (x \ y)) = K(x,y * (x * x)). [hyper(4567,a,8855,a)]. 8857 K(x,x \ (x \ y)) = K(x,x * (x * y)). [para(2956(a,1),8856(a,2,2))]. 8858 T(x,((x * x) / y) \ 1) = x * K(x,x * (x * y)). [para(8857(a,1),5159(a,2,2))]. 8859 T(x,((x * x) / y) \ 1) = T(x,x * (x * y)). [hyper(272,a,2674,a,b,8858,a),flip(a)]. 8860 T(x,x \ (x \ y)) = T(x,x * (x * y)). [para(3455(a,1),8859(a,1,2))]. 8861 T(x,y * ((z * (u / z)) / w)) = T(x,y * (T(u,z) / w)). [para(3541(a,1),8850(a,1,2,2,1))]. 8862 (x * (y * K(z,u))) / T(x * K(z,T(u,y)),y) = L(y,K(z,u),x). [hyper(272,a,8087,a(flip),b,8265,a),flip(a)]. 8863 (L(x,y,y) * (z / y)) * L(y,u,u) = L(y,u,u) \ ((y * x) * z). [hyper(272,a,6140,a(flip),b,8387,a),flip(a)]. 8864 (L(x,y,y) * ((z * z) / y)) * L(y,u,u) = L(y,u,u) \ (z * (z * (y * x))). [para(2956(a,1),8863(a,2,2))]. 8865 T(x,y \ (z \ (((1 / z) \ y) * u))) = T(x,L(u,(1 / z) \ y,z \ 1)). [para(2449(a,1),8506(a,2,2))]. 8866 T(x,y * (z * (u * (w * (1 / v5))))) = T(x,y * (z * (u * (w * (v5 \ 1))))). [para(1997(a,1),8637(a,1,2,2,2,2,2)),flip(a)]. 8867 T(x,y * (z * (u * ((1 / w) \ v5)))) = T(x,y * (z * (u * (w * v5)))). [para(2000(a,1),8637(a,1,2,2,2,2))]. 8868 T(x,y * (z * (u * ((w \ 1) * v5)))) = T(x,y * (z * (u * (w \ v5)))). [para(2030(a,1),8637(a,1,2,2,2,2)),flip(a)]. 8869 T(x,y * (z * (u * ((w \ 1) / v5)))) = T(x,y * (z * (u * (w \ (v5 \ 1))))). [hyper(58,a,8686,a(flip),b,8868,a)]. 8870 T(x,y * (z * ((((u \ w) * (u \ w)) \ v5) * ((u \ 1) * w)))) = T(x,y * (z * (v5 / (u \ w)))). [para(3250(a,1),8868(a,2,2,2,2))]. 8871 T(x,y * (z * ((u * (1 / w)) * v5))) = T(x,y * (z * ((u / w) * v5))). [para(2972(a,1),8638(a,1,2,2,2,1)),flip(a)]. 8872 K(x * L(y,z,u),x * y) = K(x,y) * K(L(y,z,u),x). [hyper(6599,a,8790,a),flip(a)]. 8873 K(x * L(y,z,u),x * y) = a(u,z,K(x,y)). [hyper(272,a,8247,a(flip),b,8872,a),flip(a)]. 8874 K(x,(x / L(y,z,u)) * y) = a(u,z,K(x / L(y,z,u),y)). [para(7(a,1),8873(a,1,1))]. 8875 K(x,y * (L(y,z,u) \ x)) = a(u,z,K(x / L(y,z,u),y)). [hyper(58,a,7935,a(flip),b,8874,a)]. 8876 K(x,y * (L(y,z,u) \ x)) = a(u,z,K(y \ x,y)). [para(8194(a,1),8875(a,2,3))]. 8878 x \ (y * (((y \ 1) * L(x,y,y)) * z)) = R(z,y,y \ (1 / L(x,y,y))). [para(7054(a,1),8830(a,1,2))]. 8879 T(x,y \ (z \ (((1 / z) \ y) * u))) = T(x,L(u,(z \ 1) \ y,z \ 1)). [para(2463(a,1),8865(a,2,2))]. 8880 R(x,y,y \ (1 / L(z,y,y))) = z \ (y * ((y \ z) * x)). [para(2030(a,1),8878(a,1,2,2,1)),flip(a)]. 8881 R(x,y,y \ (1 / L(z,y,y))) = L(x,y \ z,y). [hyper(272,a,88,a(flip),b,8880,a),flip(a)]. 8882 R(x,y,(y \ 1) * (1 / z)) = L(x,y \ z,y). [para(3793(a,1),8881(a,1,3))]. 8883 R(x,y,(y \ 1) / z) = L(x,y \ z,y). [hyper(58,a,8765,a(flip),b,8882,a)]. 8884 R(x,y,y \ (z \ 1)) = L(x,y \ z,y). [hyper(58,a,8770,a(flip),b,8883,a)]. 8885 L(x,y \ (1 / z),y) = R(x,y,y \ z). [para(74(a,1),8884(a,1,3,2)),flip(a)]. 8886 R(x,y,y \ ((z / y) \ 1)) = L(x,(y \ z) * (y \ 1),y). [para(684(a,2),8884(a,2,2))]. 8887 R(x,y * (z / y),(y * (z / y)) \ ((y \ 1) \ 1)) = L(x,(1 / y) * (z \ 1),y * (z / y)). [para(6827(a,1),8884(a,2,2))]. 8888 L(x,y \ (z \ 1),y) = R(x,y,y \ z). [hyper(58,a,2466,a(flip),b,8885,a)]. 8889 L(x,(y \ 1) * (y \ (z \ 1)),(1 / y) \ y) = R(x,(1 / y) \ y,((1 / y) \ y) \ z). [para(3821(a,1),8888(a,1,2))]. 8890 R(x,y,y * ((z * y) \ 1)) = L(x,(y \ z) * (y \ 1),y). [para(3461(a,1),8886(a,1,3))]. 8891 L(x,(y \ z) * (y \ 1),y) = R(x,y,y / (z * y)). [hyper(58,a,8753,a(flip),b,8890,a),flip(a)]. 8892 (x \ (y \ 1)) * K(z,(y \ 1) \ x) = T(x \ (y \ 1),(y * x) \ z). [hyper(58,a,4433,a(flip),b,8601,a)]. 8893 T(x \ (y \ 1),(y * x) \ z) = (x \ (y \ 1)) * K(z,y * x). [para(5968(a,1),8892(a,1,2)),flip(a)]. 8894 T(x,(y \ z) \ (u * K(w,z \ y))) = T(x,((z \ y) * u) * K(z \ y,w)). [para(28(a,1),8618(a,1,2,2,2))]. 8895 T(x,(y / z) \ (u * K(w,z / y))) = T(x,((z / y) * u) * K(z / y,w)). [para(28(a,1),8622(a,1,2,2,2))]. 8896 T(x \ 1,y) * (z * (T(1 / x,y) \ 1)) = T(x,y) * (z / T(x,y)). [hyper(272,a,260,a(flip),b,8634,a),flip(a)]. 8897 T(x,y * (z * ((u * (u * (w / z))) * z))) = T(x,y * (((1 / z) \ (u * u)) * w)). [para(108(a,1),8693(a,1,2,2)),flip(a)]. 8898 K(x,y * ((K(z,u) * (z / u)) \ w)) = K(x,y * ((u \ z) \ w)). [para(7979(a,1),8720(a,1,2,2))]. 8899 K(x,y * ((T(z,u) / u) \ w)) = K(x,y * ((u \ z) \ w)). [para(5591(a,1),8898(a,1,2,2,1))]. 8900 K(x,y * ((z \ u) \ u)) = K(x,y * T(z,u)). [para(2255(a,1),8899(a,1,2,2)),flip(a)]. 8901 K(x,y * T(z / u,z)) = K(x,y * (u \ z)). [para(74(a,1),8900(a,1,2,2,1)),flip(a)]. 8902 T(x,y * (z * (u * (w \ (1 / v5))))) = T(x,y * (z * (u / (v5 * w)))). [hyper(58,a,8868,a(flip),b,8740,a)]. 8903 T(x,y * (z * (u / ((w \ 1) * v5)))) = T(x,y * (z * (u * (v5 \ w)))). [para(72(a,1),8902(a,1,2,2,2,2,2)),flip(a)]. 8904 T(x,y * (z * (u * (w * (1 / v5))))) = T(x,y * (z * (u * (w / v5)))). [hyper(272,a,8686,a(flip),b,8866,a),flip(a)]. 8905 T(T(x,K(y,z * (u * (w * (1 / v5))))),y * (z * (u * (w / v5)))) = T(x,(z * (u * (w * (1 / v5)))) * y). [hyper(6146,a,8904,a),flip(a)]. 8906 T(x,y * (z * (u * ((w \ 1) / v5)))) = T(x,y * (z * (u / (v5 * w)))). [hyper(58,a,8740,a(flip),b,8904,a),flip(a)]. 8907 K(x,y * (z * (u * (w * (1 / v5))))) = x \ T(x,y * (z * (u * (w / v5)))). [hyper(112,a,8904,a(flip),b,2674,a(flip)),flip(a)]. 8908 T(x,y * (T(z,u * (w * (1 / v5))) * (u * (w / v5)))) = T(x,y * ((u * (w * (1 / v5))) * z)). [para(2778(a,1),8904(a,1,2,2)),flip(a)]. 8909 T(x,y * (z * (u * (w \ (v5 \ 1))))) = T(x,y * (z * (u / (v5 * w)))). [hyper(58,a,8906,a(flip),b,8869,a),flip(a)]. 8910 T(x,y * (z * (u / (w * (v5 \ 1))))) = T(x,y * (z * (u * (v5 / w)))). [hyper(58,a,8687,a(flip),b,8909,a),flip(a)]. 8911 T(x,y * (z * (u / (w / v5)))) = T(x,y * (z * (u * (v5 / w)))). [hyper(58,a,8742,a(flip),b,8910,a)]. 8912 T(x,y * (z * (u * ((1 / w) / v5)))) = T(x,y * (z * (u / (v5 * w)))). [para(74(a,1),8910(a,1,2,2,2,2,2)),flip(a)]. 8913 T(x,y * (z * ((u \ w) * (u \ w)))) = T(x,y * (z * (w * ((u \ w) / u)))). [para(3272(a,1),8911(a,1,2,2,2))]. 8914 K(x,y * (z * (u * (w * (1 / v5))))) = K(x,y * (z * (u * (w / v5)))). [hyper(272,a,2672,a,b,8907,a),flip(a)]. 8915 K(x,y / (z * (1 / ((z * u) * w)))) = K(x,y * (z * (u * (w / z)))). [hyper(58,a,6476,a,b,8914,a)]. 8916 T(x,y * (z * ((u \ w) * (u \ w)))) = T(x,y * (z * (w * (u \ (w / u))))). [hyper(272,a,8832,a(flip),b,8913,a),flip(a)]. 8917 (x * (a(y,z,z) * u)) \ (x * (a(y,z,z) * (u * w))) = L(w,u,a(y,z,z) * x). [para(8371(a,1),8382(a,1,2))]. 8918 L(x,y,a(z,u,z) * w) = (w * y) \ (w * (y * x)). [hyper(58,a,8421,a(flip),b,8398,a),flip(a)]. 8920 L(x,y,a(z,u,z) * w) = L(x,y,w). [hyper(272,a,13,a,b,8918,a),flip(a)]. 8921 L(x,y,a(z,u,z) \ w) = L(x,y,w). [para(5(a,1),8920(a,1,3)),flip(a)]. 8922 L(x,y,K(z,z * u)) = L(x,y,K(z,u)). [para(6619(a,1),8920(a,1,3)),flip(a)]. 8923 L(x,y,a(z,z,u) * w) = L(x,y,w). [para(6792(a,1),8920(a,1,3,1))]. 8924 L(x,y,a(z,u,u) * w) = L(x,y,w). [para(6793(a,2),8920(a,1,3,1))]. 8925 L(x,y,L(z,u,z)) = L(x,y,z). [para(6614(a,1),8921(a,1,3))]. 8926 L(x,y,z / R(u,w,u)) = L(x,y,z / u). [para(8425(a,1),8921(a,1,3))]. 8927 L(x,y,T(z / u,z)) = L(x,y,u \ z). [para(2340(a,1),8925(a,1,3))]. 8928 L(x,y,T(z,z * u)) = L(x,y,T(z,u)). [para(5394(a,1),8925(a,1,3))]. 8929 L(x,y,L(z,u,u)) = L(x,y,z). [para(4219(a,1),8923(a,1,3))]. 8930 L(x,y,L(z,u,u) * w) = L(x,y,z * w). [para(4784(a,1),8923(a,1,3))]. 8931 L(x,y,z * a(u,w,w)) = L(x,y,z). [para(5629(a,1),8923(a,1,3))]. 8932 L(x,y,(z * z) * u) = L(x,y,z * (z * u)). [para(5627(a,1),8923(a,1,3))]. 8933 L(x,y,L(z,u,u) \ w) = L(x,y,z \ w). [para(6140(a,1),8923(a,1,3))]. 8934 L(x,y,z * L(u,w,w)) = L(x,y,z * u). [para(8385(a,1),8923(a,1,3))]. 8935 L(x,y,z * L(u,w,u)) = L(x,y,z * u). [para(8386(a,1),8923(a,1,3))]. 8936 L(x,y,z * (a(u,u,w) * v5)) = L(x,y,z * v5). [para(8383(a,1),8923(a,1,3))]. 8937 L(x,y,z * (u * L(w,v5,v5))) = L(x,y,z * (u * w)). [para(8390(a,1),8923(a,1,3))]. 8938 L(x,y,(z * z) \ u) = L(x,y,z \ (z \ u)). [para(254(a,1),8929(a,1,3))]. 8939 L(x,y,(1 / z) * u) = L(x,y,z \ u). [para(1996(a,1),8929(a,1,3)),flip(a)]. 8940 L(x,y,(z \ 1) \ u) = L(x,y,z * u). [para(2002(a,1),8929(a,1,3))]. 8941 L(x,y,z * (u \ 1)) = L(x,y,z / u). [para(3112(a,1),8929(a,1,3)),flip(a)]. 8942 L(x,y,(z \ u) * u) = L(x,y,u * (u / z)). [para(3490(a,1),8929(a,1,3)),flip(a)]. 8943 L(x,y,(z * u) * u) = L(x,y,z * (u * u)). [para(79(a,1),8931(a,1,3))]. 8944 L(x,y,K(z,u \ 1)) = L(x,y,K(u,z)). [para(3397(a,2),8922(a,1,3))]. 8945 L(x * (1 / T(y / z,y)),T(y / z,y),z \ y) = L(x,T(y / z,y),T(y / z,y)) * (y \ z). [hyper(58,a,7790,a(flip),b,8927,a),flip(a)]. 8946 L(x,y,(z \ u) \ u) = L(x,y,T(z,u)). [para(72(a,1),8927(a,1,3,1)),flip(a)]. 8947 L(x,y,T(z,y)) = L(x,y,z). [hyper(7025,a,8928,a),flip(a)]. 8948 a(x,T(y,y * z),u) = x * L(x \ 1,u,T(y,z)). [hyper(114,a,8928,a(flip),b,1184,a(flip)),flip(a)]. 8949 L(x,y,T(z \ (z / u),u * z)) = L(x,y,T(z \ (z / u),z)). [para(3297(a,1),8928(a,1,3,2)),flip(a)]. 8950 L(x,y,T(z,y)) != u | L(x,y,z) = u. [para(8928(a,1),7025(a,1))]. 8951 L(x,y,T(z \ (u \ 1),(u * z) \ w)) = L(x,y,T(z \ (u \ 1),w)). [para(8599(a,1),8928(a,1,3))]. 8952 (x * y) \ (T(y,x) * z) = L(x \ z,x,y). [hyper(58,a,2849,a(flip),b,8947,a)]. 8953 L(x,y,z / y) = L(x,y,y \ z). [para(100(a,1),8947(a,1,3)),flip(a)]. 8956 (x * y) * L(z,x,y) = T(y,x) * (x * z). [para(8947(a,1),2848(a,1,2))]. 8957 L(x \ y,x,x \ z) = z \ ((z / x) * y). [hyper(58,a,438,a(flip),b,8953,a),flip(a)]. 8958 x * L(y,z,z \ x) = (x / z) * (z * y). [hyper(114,a,8953,a(flip),b,90,a)]. 8959 L(x,y,(z * y) \ y) != u | L(x,y,z \ 1) = u. [para(2258(a,1),8950(a,1,3))]. 8961 L(x,y,z / y) != u | L(x,y,y \ z) = u. [para(2775(a,1),8950(a,1,3))]. 8962 L(x,y,(z \ u) / z) = L(x,y,z \ (u / z)). [para(376(a,1),8939(a,1,3))]. 8963 L(x,y,T(z,u) \ u) = L(x,y,u / z). [para(2793(a,1),8939(a,1,3)),flip(a)]. 8964 L(x,y,(z * u) * u) = L(x,y,u * (u * z)). [para(3503(a,1),8940(a,1,3))]. 8965 L(x,y,(z \ ((u \ z) \ 1)) \ w) = L(x,y,(u \ (z * z)) * w). [para(4563(a,1),8940(a,1,3,1))]. 8966 L(x,y,(z / u) * (1 / z)) = L(x,y,z * (u \ (1 / z))). [para(5098(a,1),8940(a,1,3)),flip(a)]. 8967 x * L(x \ 1,y,z / u) = a(x,z * (u \ 1),y). [hyper(114,a,8941,a(flip),b,1184,a(flip))]. 8968 L(x,y,z * (u \ (w \ u))) = L(x,y,z / T(w,u)). [para(2999(a,1),8941(a,1,3,2))]. 8969 L(x,y,z / T(u,u * w)) = L(x,y,z * T(u \ 1,w)). [para(3388(a,1),8941(a,1,3,2)),flip(a)]. 8970 L(x,y,z * (u \ (T(u,w) \ 1))) = L(x,y,(z / u) / T(u,w)). [para(8291(a,1),8941(a,1,3))]. 8971 L(x,y,K(z,u \ 1)) = L(x,y,K(z,u)). [para(28(a,1),8944(a,2,3))]. 8972 L(x,y,T(z \ 1,u)) = L(x,y,T(z,u) \ 1). [hyper(58,a,3555,a(flip),b,8946,a),flip(a)]. 8973 L(x,y,T(z \ u,u)) = L(x,y,u / z). [para(2826(a,1),8946(a,1,3)),flip(a)]. 8974 L(x,y,T(1 / z,u)) = L(x,y,T(z,u) \ 1). [para(3463(a,1),8946(a,1,3)),flip(a)]. 8975 L(x,y,z / (z * u)) = L(x,y,z \ (u \ z)). [para(3241(a,1),8973(a,1,3)),flip(a)]. 8976 L(x,y,z / T(u,u * w)) = L(x,y,z / T(u,w)). [para(5404(a,1),8926(a,1,3,2)),flip(a)]. 8977 L(x,y,((1 / z) * u) * w) = L(x,y,(z \ u) * w). [para(1996(a,1),8930(a,1,3,1)),flip(a)]. 8978 L(x,y,((z \ 1) \ u) * w) = L(x,y,(z * u) * w). [para(2002(a,1),8930(a,1,3,1))]. 8979 L(x,y,z * (1 / u)) = L(x,y,z / u). [para(2972(a,1),8930(a,1,3)),flip(a)]. 8980 L(x,y,z / (u \ 1)) = L(x,y,z * u). [para(72(a,1),8979(a,1,3,2)),flip(a)]. 8981 L(x,y,((z * u) \ 1) / u) = L(x,y,u \ (z \ (u \ 1))). [para(4936(a,1),8979(a,1,3)),flip(a)]. 8982 L(x,y,(z \ u) * z) = L(x,y,T(u,z)). [para(678(a,2),8980(a,1,3)),flip(a)]. 8983 L(x,y,z / T(u \ 1,w)) = L(x,y,z * T(u,u * w)). [para(3388(a,1),8980(a,1,3,2))]. 8984 L(x,y,z * (u / z)) = L(x,y,T(u,z)). [para(2828(a,1),8982(a,1,3))]. 8985 L(x,y,z * ((u \ z) / z)) = L(x,y,z / u). [hyper(272,a,8973,a(flip),b,8984,a),flip(a)]. 8986 a(x,y * (z / y),u) = x * L(x \ 1,u,T(z,y)). [hyper(114,a,8984,a(flip),b,1184,a(flip)),flip(a)]. 8987 L(x,y,T(z * u,u)) = L(x,y,u * z). [para(6(a,1),8984(a,1,3,2)),flip(a)]. 8988 L(x,y,(1 / z) \ u) = L(x,y,z * u). [para(2773(a,1),8987(a,1,3))]. 8989 L(x,y,(z \ 1) * u) = L(x,y,z \ u). [para(72(a,1),8988(a,1,3,1)),flip(a)]. 8990 L(x,y,((z \ 1) * (u \ 1)) * w) = L(x,y,((1 / u) \ z) \ w). [para(4020(a,1),8988(a,1,3,1)),flip(a)]. 8991 L(x,y,T(z,u) * K(u,w)) = L(x,y,u * (z / T(u,w))). [para(4615(a,1),8988(a,1,3))]. 8992 L(x,y,(T(z,u) \ 1) * u) = L(x,y,u / z). [hyper(272,a,8963,a(flip),b,8989,a),flip(a)]. 8993 L(x,y,(z \ 1) / u) = L(x,y,z \ (u \ 1)). [hyper(58,a,8941,a(flip),b,8989,a)]. 8994 L(x,y,((z \ (u \ 1)) \ w) \ 1) = L(x,y,w \ ((1 / z) / u)). [para(4904(a,2),8989(a,1,3))]. 8995 L(x,y,(a(z,u,u) * (w \ 1)) * v5) = L(x,y,w \ (a(z,u,u) * v5)). [para(8371(a,2),8989(a,1,3))]. 8996 L(x,y,((z \ 1) \ u) \ w) = L(x,y,(z * u) \ w). [para(2002(a,1),8933(a,1,3,1))]. 8997 L(x,y,T(z / (1 / u),w) \ v5) = L(x,y,T(z * u,w) \ v5). [para(3106(a,1),8933(a,1,3,1))]. 8998 L(x,y,z * ((1 / u) * w)) = L(x,y,z * (u \ w)). [para(1996(a,1),8934(a,1,3,2)),flip(a)]. 8999 L(x,y,z * (u * (w \ 1))) = L(x,y,z * (u / w)). [para(3112(a,1),8934(a,1,3,2)),flip(a)]. 9000 L(x,y,T(z * z,u)) = L(x,y,z * z). [para(4251(a,1),8935(a,1,3))]. 9001 L(x,y,z * T(u,u * w)) = L(x,y,z * T(u,w)). [para(5394(a,1),8935(a,1,3,2))]. 9002 L(x,y,z) = (y * z) \ (T(z,y) * (y * x)). [para(4(a,1),8952(a,2,1)),flip(a)]. 9003 (x * y) * L(z,x,y) = y * (T(x,y) * z). [hyper(272,a,3187,a(flip),b,8956,a),flip(a)]. 9004 (x * y) * L(L(z,x,y),u,w) = T(y,x) * (x * L(z,u,w)). [para(25(a,1),8956(a,1,2))]. 9005 x * L(1 / y,(z \ 1) \ 1,((z \ 1) \ 1) \ x) = (x / ((z \ 1) \ 1)) * (1 / (y / z)). [para(4185(a,1),8958(a,2,2))]. 9006 (x * y) * L(z,x,y) != u | T(y,x) * (x * z) = u. [para(9002(a,2),230(a,1,2))]. 9007 L(x,T(y,z),z) = L(x,y,z). [hyper(730,a,9003,a)]. 9008 (x * y) * K(z,L(u,x,y)) = y * (T(x,y) * K(z,u)). [para(8229(a,1),9003(a,1,2))]. 9009 L(x,y / z,z) = L(x,z \ y,z). [para(100(a,1),9007(a,1,2)),flip(a)]. 9010 L(x,T(y,K(z,u)) / z,T(z,u)) = L(x,z \ y,T(z,u)). [para(4553(a,2),9007(a,1,2))]. 9011 L(x,K(y,z) * (u / y),y) = L(x,T(y,z) \ u,y). [para(5482(a,1),9007(a,1,2))]. 9012 L(x \ ((y * (z * z)) / x),((x \ 1) * z) * z,(x \ 1) * (z * z)) = (x \ y) / (1 / (((x \ 1) * z) * z)). [hyper(58,a,5150,a(flip),b,8943,a),flip(a)]. 9013 L(x,y,y \ (z / y)) != u | L(x,y,y \ (y \ z)) = u. [para(8962(a,1),8961(a,1))]. 9014 L(x,y,T(z \ (u \ (z \ 1)),w)) = L(x,y,T((z * u) * z,w) \ 1). [para(4349(a,1),8972(a,1,3,1))]. 9015 L(x,y,z \ T(u,z \ 1)) = L(x,y,u / z). [para(2588(a,2),8985(a,1,3))]. 9016 L(x,y,(T(z,u \ (T(w,v5) \ 1)) \ 1) * (u \ T(1 / w,v5))) = L(x,y,(u \ T(1 / w,v5)) / z). [para(8655(a,1),8992(a,1,3,1,1))]. 9017 L(x,y,z \ (y \ 1)) != u | L(x,y,y \ (z \ 1)) = u. [para(8993(a,1),8961(a,1))]. 9018 L(x,y,z * (a(u,w,w) * v5)) = L(x,y,z * v5). [para(4217(a,1),8936(a,1,3,2,1))]. 9019 L(x,y,z * (L(u,w,w) * v5)) = L(x,y,z * (u * v5)). [para(4784(a,1),8936(a,1,3,2))]. 9020 L(x,y,z * (L(u,w,w) \ v5)) = L(x,y,z * (u \ v5)). [para(6140(a,1),8936(a,1,3,2))]. 9021 L(x,y,(z * L(u,w,w)) * v5) = L(x,y,(z * u) * v5). [para(8668(a,1),9018(a,1,3)),flip(a)]. 9022 a(x,T(y,y * z),u) != w | a(x,T(y,z),u) = w. [para(8948(a,2),1204(a,1))]. 9023 a(x,T(y,z * y),u) != w | a(x,T(y,z),u) = w. [para(2315(a,2),9022(a,1,2))]. 9025 a(x,y * (z \ 1),u) = a(x,y / z,u). [hyper(1204,a,8967,a),flip(a)]. 9026 a(x,y / (z \ y),u) = a(x,L(z,y,y),u). [hyper(58,a,4956,a(flip),b,9025,a),flip(a)]. 9027 a(x,L(y,z,z),u) = a(x,y,u). [para(72(a,1),9026(a,1,2)),flip(a)]. 9029 a(x,T(y,z \ 1),u) = a(x,T(y,z),u). [para(2792(a,1),9027(a,1,2))]. 9030 a(x,T(y,x),z) = a(x,y,z). [hyper(7029,a,9029,a),flip(a)]. 9031 a(x,(x \ y) * K(x,z),u) = a(x,y / T(x,z),u). [para(4300(a,1),9030(a,1,2))]. 9032 L(x,y,((z \ (u \ z)) * T(z \ (u \ z),w \ 1)) / w) = L(x,y,((z \ (u \ z)) * (1 / w)) / T(u,z)). [para(6719(a,2),8968(a,1,3))]. 9033 L(x,y,((z \ 1) * u) * w) = L(x,y,(z \ u) * w). [hyper(58,a,2451,a(flip),b,8977,a)]. 9034 a(x,y * (z / y),u) = a(x,T(z,y),u). [hyper(272,a,1178,a,b,8986,a),flip(a)]. 9035 a(x,T(y * z,z),u) = a(x,z * y,u). [para(6(a,1),9034(a,1,2,2)),flip(a)]. 9036 L(x,y,((z * u) * z) \ w) = L(x,y,(z * (u * z)) \ w). [para(3502(a,1),8996(a,1,3,1))]. 9037 L(x,y,z * (T(u,w) \ w)) = L(x,y,z * (w / u)). [para(2793(a,1),8998(a,1,3,2)),flip(a)]. 9038 L(x,y,z * (u * (1 / w))) = L(x,y,z * (u / w)). [hyper(58,a,2454,a,b,8999,a)]. 9039 L(x,y,z * ((1 / u) / w)) = L(x,y,z * (u \ (w \ 1))). [hyper(58,a,8998,a(flip),b,8999,a),flip(a)]. 9040 L(x,y,z \ (u * u)) = L(x,y,u * (u / z)). [para(3290(a,1),8999(a,1,3))]. 9041 L(x,y,K(z,u) * T(w,z)) = L(x,y,T(z,u) * (w / z)). [para(3205(a,1),8999(a,1,3))]. 9042 L(x,y,z * T(u,u \ w)) = L(x,y,z * T(u,w)). [para(5(a,1),9001(a,1,3,2,2)),flip(a)]. 9043 L(x,y,((1 / z) \ u) * w) = L(x,y,(z * u) * w). [para(74(a,1),9033(a,1,3,1,1)),flip(a)]. 9044 L(x,y,(((z * (u \ z)) \ z) * w) * v5) = L(x,y,(((z \ u) \ 1) \ w) * v5). [para(4107(a,1),9033(a,1,3,1,1))]. 9045 L(x,y,(z \ (K(u,u \ 1) * w)) * v5) = L(x,y,((((u * z) \ 1) * u) * w) * v5). [para(5796(a,1),9033(a,1,3,1)),flip(a)]. 9046 L(x,y,z * (u / (w \ 1))) = L(x,y,z * (u * w)). [para(72(a,1),9038(a,1,3,2,2)),flip(a)]. 9047 L(x,y,(z * ((1 / z) * u)) * w) = L(x,y,u * w). [para(4(a,1),9043(a,1,3,1)),flip(a)]. 9048 L(x,y,(z * u) * (w * z)) = L(x,y,z * ((u * w) * z)). [para(27(a,1),9043(a,1,3)),flip(a)]. 9049 L(x,y,z * T(u * w,u)) = L(x,y,z * (w * u)). [para(680(a,2),9046(a,1,3,2))]. 9050 L(x,y,(((z \ 1) * u) * L(w,z,z)) * v5) = L(x,y,((z \ u) * w) * v5). [para(7634(a,1),9047(a,1,3,1))]. 9051 (x * ((x \ y) * z)) * ((x \ (x * ((x \ y) * z))) \ 1) = L(x,y * T(x * z,x),y * (z * x)). [hyper(58,a,7693,a,b,9049,a)]. 9052 L(x,y,z * (u * ((1 / w) * v5))) = L(x,y,z * (u * (w \ v5))). [para(1996(a,1),8937(a,1,3,2,2)),flip(a)]. 9053 L(x,y,z * ((1 / u) \ w)) = L(x,y,z * (u * w)). [para(2000(a,1),8937(a,1,3,2))]. 9054 L(x,y,z * (u * ((w \ 1) \ v5))) = L(x,y,z * (u * (w * v5))). [para(2002(a,1),8937(a,1,3,2,2))]. 9055 L(x,y,z * ((u \ 1) * w)) = L(x,y,z * (u \ w)). [para(2030(a,1),8937(a,1,3,2)),flip(a)]. 9056 L(x,y,z * (u * (w * (v5 \ 1)))) = L(x,y,z * (u * (w / v5))). [para(3112(a,1),8937(a,1,3,2,2)),flip(a)]. 9057 L(x,y,z * (u * (w / u))) = L(x,y,z * T(w,u)). [para(2920(a,2),9053(a,1,3,2)),flip(a)]. 9058 L(x,y,z * T(u,u \ w)) = L(x,y,z * (w * (u / w))). [hyper(272,a,9042,a,b,9057,a)]. 9059 K(x,L(T(y,z * u),z,u)) * (z * u) = u * (T(z,u) * K(x,y)). [hyper(58,a,5317,a,b,9008,a)]. 9060 L(x,y,z * ((u * (w \ 1)) * v5)) = L(x,y,z * ((u / w) * v5)). [para(3112(a,1),9019(a,1,3,2,1)),flip(a)]. 9061 L(x,y,z * (T(u,w \ 1) \ v5)) = L(x,y,z * (T(u,w) \ v5)). [para(2792(a,1),9020(a,1,3,2,1))]. 9062 L(x,y,z * (u \ (1 / z))) = L(x,y,(z / u) / z). [hyper(58,a,8979,a(flip),b,8966,a),flip(a)]. 9063 L(x,y,(z / u) / z) = L(x,y,z \ (u \ z)). [hyper(58,a,5909,a(flip),b,9062,a),flip(a)]. 9064 L(x,y,z * T(u \ 1,w)) = L(x,y,z / T(u,w)). [hyper(58,a,8976,a(flip),b,8969,a),flip(a)]. 9065 L(x,y,z * (u \ T(u \ 1,w))) = L(x,y,(z / u) / T(u,w)). [para(8288(a,1),9064(a,1,3))]. 9066 L(x,y,z / T(u \ 1,w)) = L(x,y,z * T(u,w)). [hyper(272,a,9001,a(flip),b,8983,a),flip(a)]. 9067 L(x,y,z * T(1 / u,w)) = L(x,y,z / T(u,w)). [para(74(a,1),9066(a,1,3,2,1)),flip(a)]. 9068 L(x,y,z * (u / (u * w))) = L(x,y,z / T(w,u)). [para(3031(a,1),9067(a,1,3,2))]. 9069 L(x,y,z * ((u \ w) \ w)) = L(x,y,z * (w * (u / w))). [para(99(a,1),9058(a,1,3,2))]. 9070 T(L(x,y,z),x) * (x * L(u,x,x)) = L(L(x,y,z) * (x * u),x,x). [hyper(58,a,6557,a(flip),b,9004,a),flip(a)]. 9071 L(x,y,T(z \ (z / u),u * z)) = L(x,y,(z / u) / z). [para(2775(a,1),8949(a,2,3))]. 9072 L(x,y,T(z \ (z / u),u * z)) = L(x,y,z \ (u \ z)). [hyper(272,a,9063,a(flip),b,9071,a),flip(a)]. 9073 L(x,y,(z * u) \ u) = L(x,y,u \ (z \ u)). [para(3304(a,1),9072(a,1,3))]. 9074 L(x,y,y \ (z \ y)) = L(x,y,z \ 1). [hyper(8959,a,9073,a),flip(a)]. 9075 L(x,T(y,z \ 1),T(y,z \ 1) \ (z \ T(y,z \ 1))) = L(x,y,z \ 1). [hyper(272,a,9007,a(flip),b,9074,a),flip(a)]. 9076 L(x,y,((z / y) \ y) \ 1) = L(x,y,y \ ((z \ y) \ 1)). [para(3464(a,1),9074(a,1,3,2)),flip(a)]. 9077 L(x,1 / y,((y * y) \ z) \ 1) = L(x,1 / y,(1 / y) \ (z \ y)). [para(4631(a,1),9074(a,1,3,2)),flip(a)]. 9078 L(x,y \ z,(y \ z) \ (y \ (y / z))) = L(x,y \ z,((y \ z) * z) \ 1). [para(7043(a,1),9074(a,1,3,2))]. 9079 L(x,y,T((z * u) * z,w) \ v5) = L(x,y,T(z * (u * z),w) \ v5). [para(3589(a,1),8997(a,1,3,1,1)),flip(a)]. 9080 L(x,y,(z * u) * ((w \ 1) * z)) = L(x,y,z * ((u / w) * z)). [hyper(58,a,9048,a,b,9060,a)]. 9081 L(x,y,(z * u) * (w \ z)) = L(x,y,z * ((u / w) * z)). [hyper(58,a,9055,a(flip),b,9080,a)]. 9082 L(x,y,(z \ (u \ 1)) * K(w,u * z)) = L(x,y,T(z \ (u \ 1),w)). [para(8893(a,1),8951(a,1,3))]. 9083 L(x,y,z \ (a(u,w,w) * v5)) = L(x,y,(z \ a(u,w,w)) * v5). [para(5603(a,1),8995(a,1,3,1)),flip(a)]. 9084 L(x,y,(z \ a(u,w,w)) * v5) = L(x,y,(z \ v5) * a(u,w,w)). [para(8376(a,1),9083(a,1,3)),flip(a)]. 9085 L(x,y,(z \ a(u,w,w)) * v5) = L(x,y,z \ v5). [hyper(272,a,8931,a(flip),b,9084,a),flip(a)]. 9087 L(x,y,(z \ a(u,w,w)) * (T(v5,v6) \ v7)) = L(x,y,z \ (T(v5,v6 \ 1) \ v7)). [hyper(58,a,9061,a(flip),b,9085,a)]. 9089 L(x,y,(z \ a(u,w,w)) / v5) = L(x,y,z \ (v5 \ 1)). [hyper(58,a,8941,a(flip),b,9085,a)]. 9090 L(x,y,((z * u) \ z) * w) = L(x,y,u \ w). [para(5669(a,2),9085(a,1,3,1))]. 9091 L(x,y,((z * u) \ z) * (T(w,v5) \ v5)) = L(x,y,u \ (v5 / w)). [hyper(58,a,9037,a,b,9090,a)]. 9092 L(x,y,(z * u) \ z) = L(x,y,u \ 1). [para(3(a,1),9090(a,1,3))]. 9093 L(x,y,(z \ u) \ w) = L(x,y,(u \ z) * w). [para(5(a,1),9090(a,1,3,1,1)),flip(a)]. 9094 L(x,y,(z \ (z / u)) * w) = L(x,y,u \ w). [para(7(a,1),9090(a,1,3,1,1))]. 9095 L(x,y,(z / u) \ w) = L(x,y,(u / z) * w). [para(3309(a,1),9090(a,1,3,1)),flip(a)]. 9096 L(x,y,z \ T(u,z \ 1)) = L(x,y,u * ((w * z) \ w)). [para(4477(a,1),9090(a,1,3)),flip(a)]. 9097 L(x,y,(z \ u) \ 1) = L(x,y,u \ z). [para(5(a,1),9092(a,1,3,1)),flip(a)]. 9098 L(x,y,z \ (z / u)) = L(x,y,u \ 1). [para(7(a,1),9092(a,1,3,1))]. 9099 L(x \ 1,1 / y,1 / y) \ (((x \ 1) * (1 / y)) * z) = L(y \ z,y,x \ (y \ 1)). [hyper(58,a,7835,a,b,9097,a)]. 9100 L(x,y,(z * u) \ 1) = L(x,y,u \ (z \ 1)). [hyper(58,a,8996,a(flip),b,9097,a)]. 9101 L(x,y,z \ ((1 / u) / w)) = L(x,y,z \ (u \ (w \ 1))). [hyper(58,a,8994,a(flip),b,9097,a)]. 9102 L(x,y,((z \ 1) * (u \ 1)) * w) = L(x,y,(z \ (1 / u)) * w). [hyper(58,a,8990,a,b,9093,a)]. 9103 L(x,y,(z \ (u \ 1)) * w) = L(x,y,(u * z) \ w). [hyper(58,a,8996,a(flip),b,9093,a),flip(a)]. 9104 L(x,y,(((z \ u) \ 1) \ u) * w) = L(x,y,(z \ (u * u)) * w). [hyper(58,a,8965,a(flip),b,9093,a),flip(a)]. 9105 x * L(x \ 1,y,(z \ u) * w) = a(x,(u \ z) \ w,y). [hyper(114,a,9093,a(flip),b,1184,a(flip))]. 9106 x * L(x \ 1,y,(z / u) * w) = a(x,(u / z) \ w,y). [hyper(114,a,9095,a(flip),b,1184,a(flip))]. 9107 L(R(x,y,z),z,z) = L(x,z,z \ (y \ 1)). [hyper(58,a,7169,a,b,9100,a)]. 9108 x * L(x \ 1,y,z \ (u \ 1)) = a(x,(u * z) \ 1,y). [hyper(114,a,9100,a(flip),b,1184,a(flip))]. 9109 L(R(x,y,z),z,z) = L(x,z,(z \ 1) * (y \ 1)). [hyper(272,a,8989,a,b,9107,a),flip(a)]. 9110 L(x,y,(z \ ((z * u) \ 1)) * w) = L(x,y,(z * (u * z)) \ w). [hyper(272,a,9036,a(flip),b,9103,a),flip(a)]. 9111 L(x,y,(z \ T(u \ w,w)) * v5) = L(x,y,((u / w) * z) \ v5). [para(2768(a,2),9103(a,1,3,1,2))]. 9112 L(x,y,z * ((u * w) \ u)) = L(x,y,z / w). [hyper(58,a,9015,a(flip),b,9096,a),flip(a)]. 9113 L(x,y,z / (u \ w)) = L(x,y,z * (w \ u)). [para(5(a,1),9112(a,1,3,2,1)),flip(a)]. 9114 L(x,y,z * (u \ (u \ (u / w)))) = L(x,y,z / (w * u)). [para(3297(a,1),9112(a,1,3,2,1))]. 9116 L(T(x,y * (y / z)),y / (y \ z),y * (z \ y)) = T(x,1 / ((y * y) / z)). [hyper(58,a,7596,a(flip),b,9113,a),flip(a)]. 9118 a(x,(y \ z) \ u,w) != v5 \ v6 | v5 * a(x,(z \ y) * u,w) = v6. [para(9105(a,1),1205(a,2)),flip(a)]. 9120 a(x,(y / z) \ u,w) != v5 \ v6 | v5 * a(x,(z / y) * u,w) = v6. [para(9106(a,1),1205(a,2)),flip(a)]. 9121 a(x,(y * z) \ 1,u) = a(x,z \ (y \ 1),u). [hyper(1204,a,9108,a),flip(a)]. 9122 a(x,(y * z) \ 1,u) != w | a(x,z \ (y \ 1),u) = w. [para(9108(a,1),1204(a,1))]. 9123 L(x,y,z * (u * (1 / ((w \ u) * u)))) = L(x,y,z / ((w \ 1) * u)). [para(5195(a,1),9114(a,1,3,2))]. 9124 L(x,y,z \ (u * (w \ 1))) = L(x,y,z \ (u / w)). [para(3732(a,1),9091(a,1,3))]. 9125 L(x,y,(z \ (1 / u)) * w) = L(x,y,(z \ (u \ 1)) * w). [hyper(58,a,9033,a(flip),b,9102,a),flip(a)]. 9126 L(x,y,(z \ (1 / u)) * w) = L(x,y,(u * z) \ w). [hyper(272,a,9103,a(flip),b,9125,a),flip(a)]. 9127 L(x,y,(z \ (u * u)) * w) = L(x,y,(u * (u / z)) * w). [para(3466(a,1),9104(a,1,3,1)),flip(a)]. 9128 L(L(x,y,z) * (x * u),x,x) = L(x,y,z) * (x * L(u,x,x)). [para(159(a,1),9070(a,1,1)),flip(a)]. 9129 L(L(x,y,z) * (x * u),x,x) = L(x,y,z) * ((1 / x) \ u). [para(2000(a,1),9128(a,2,2))]. 9130 L(x,1 / y,((y * y) \ z) \ 1) = L(x,1 / y,y * (z \ y)). [hyper(272,a,8988,a(flip),b,9077,a),flip(a)]. 9131 L(x,1 / y,((y * y) \ z) \ 1) = L(x,y \ 1,y * (z \ y)). [hyper(272,a,2461,a(flip),b,9130,a),flip(a)]. 9132 L(x,1 / y,z \ (y * y)) = L(x,y \ 1,y * (z \ y)). [hyper(58,a,9097,a(flip),b,9131,a)]. 9133 L(x,1 / y,y * (y / z)) = L(x,y \ 1,y * (z \ y)). [hyper(58,a,9040,a(flip),b,9132,a)]. 9134 L(x,y \ 1,y * (y / z)) = L(x,y \ 1,y * (z \ y)). [hyper(58,a,2461,a(flip),b,9133,a)]. 9135 L(x,y,T(z \ (u \ (z \ 1)),w)) = L(x,y,T(z * (u * z),w) \ 1). [hyper(58,a,9014,a,b,9079,a)]. 9136 L(x,y,(z * u) \ K(w,z * u)) = L(x,y,T(u \ (z \ 1),w)). [hyper(58,a,9103,a(flip),b,9082,a)]. 9137 L(x,y,T(z \ (u \ 1),w)) = L(x,y,T(u * z,w) \ 1). [para(2679(a,2),9136(a,1,3)),flip(a)]. 9138 L(x,y,z * (u / ((w \ u) * u))) = L(x,y,z / ((w \ 1) * u)). [hyper(58,a,9038,a(flip),b,9123,a)]. 9139 L(x,y,z * (u \ (u / (w \ u)))) = L(x,y,z / ((w \ 1) * u)). [para(3305(a,1),9138(a,1,3,2))]. 9140 L(x,y,z / ((u \ 1) * w)) = L(x,y,z * (w \ u)). [para(72(a,1),9139(a,1,3,2,2)),flip(a)]. 9142 L(x,y,z * (u \ (1 / w))) = L(x,y,z / (w * u)). [para(74(a,1),9140(a,1,3,2,1)),flip(a)]. 9143 L(x,y,(z \ 1) / (u * w)) = L(x,y,z \ (w \ (1 / u))). [hyper(58,a,8989,a(flip),b,9142,a),flip(a)]. 9144 L(x,y,z * (u \ (w \ 1))) = L(x,y,z / (w * u)). [hyper(58,a,5781,a(flip),b,9142,a)]. 9145 L(x,y,z * ((1 / u) / w)) = L(x,y,z / (w * u)). [hyper(58,a,9039,a,b,9144,a)]. 9146 L(x,y,(z \ 1) / (u * w)) = L(x,y,z \ ((1 / w) / u)). [hyper(58,a,8989,a(flip),b,9145,a),flip(a)]. 9147 L(x,y,z \ ((u * w) \ 1)) = L(x,y,z \ (w \ (1 / u))). [hyper(58,a,8993,a(flip),b,9143,a)]. 9148 L(x,y,z \ ((1 / u) / w)) = L(x,y,z \ ((w * u) \ 1)). [hyper(58,a,8993,a(flip),b,9146,a),flip(a)]. 9149 L(x,y,z \ ((u * w) \ 1)) = L(x,y,z \ (w \ (u \ 1))). [hyper(58,a,9101,a(flip),b,9148,a),flip(a)]. 9150 L(x,y,z \ (u \ (1 / w))) = L(x,y,z \ (u \ (w \ 1))). [hyper(58,a,9147,a(flip),b,9149,a)]. 9151 L(x,y,z \ (u \ ((w \ 1) \ 1))) = L(x,y,z \ (u \ w)). [para(72(a,1),9150(a,1,3,2,2)),flip(a)]. 9152 L(x,y,z \ (u \ T(1 / w,v5))) = L(x,y,z \ (u \ T(w \ 1,v5))). [para(1616(a,1),9151(a,1,3,2,2)),flip(a)]. 9153 L(x,y,(((z \ 1) * u) * w) * v5) = L(x,y,((z \ u) * w) * v5). [hyper(58,a,9021,a(flip),b,9050,a)]. 9155 L(x,y,(((z * (u \ z)) \ z) * w) * v5) = L(x,y,((z \ u) * w) * v5). [hyper(272,a,8978,a(flip),b,9044,a),flip(a)]. 9156 L(x,T(y,z \ 1),T(y,z \ 1) \ ((z \ 1) * T(y,z))) = L(x,y,z \ 1). [para(2841(a,1),9075(a,1,3,2))]. 9157 L(x,y \ z,((y / z) \ z) \ 1) = L(x,y \ z,((y \ z) * z) \ 1). [para(7046(a,1),9078(a,1,3))]. 9158 L(x,y \ z,((y \ z) * z) \ 1) = L(x,y \ z,z \ (y / z)). [hyper(58,a,9097,a(flip),b,9157,a),flip(a)]. 9159 L(x,y \ z,z \ ((y \ z) \ 1)) = L(x,y \ z,z \ (y / z)). [hyper(58,a,9100,a(flip),b,9158,a)]. 9160 L(x,T(y,z \ 1),(z \ 1) * K(y,z)) = L(x,y,z \ 1). [para(5223(a,1),9156(a,1,3))]. 9161 L(x,T(y,z \ 1),z \ K(y,z)) = L(x,y,z \ 1). [hyper(58,a,8989,a(flip),b,9160,a)]. 9162 L(x,y,z \ (T(u,w \ 1) \ v5)) = L(x,y,z \ (T(u,w) \ v5)). [hyper(58,a,9085,a(flip),b,9087,a),flip(a)]. 9163 T(x,y * (z / ((u \ (w \ 1)) \ v5))) = T(x,y * (z * ((v5 \ 1) / (w * u)))). [hyper(58,a,8912,a(flip),b,8525,a),flip(a)]. 9164 T(T(x,y * (z / u)),K(w,y * (z / u))) = T(x,T(y * (z * (u \ 1)),w)). [para(8500(a,1),8527(a,1,2))]. 9165 T(x,T(y * (z * (u \ 1)),w)) = T(x,T(y * (z / u),w)). [hyper(5497,a,9164,a),flip(a)]. 9166 T(x,T(K(y,z \ 1) * ((y * z) / u),w)) = T(x,T(T(y * z,z) * (u \ 1),w)). [para(3402(a,1),9165(a,1,2,1)),flip(a)]. 9167 T(((x \ 1) \ (y \ 1)) \ (1 / z),u) = K(u,(y / x) / z) / (z * (x / y)). [para(5973(a,1),8608(a,1,1)),flip(a)]. 9168 K(x,(y / z) / u) / (u * (z / y)) = T(1 / (u * (z / y)),x). [para(4198(a,1),9167(a,1,1)),flip(a)]. 9169 T(x,y * ((z \ (u * (w \ 1))) * w)) = T(x,y * ((w \ 1) * ((w / z) * u))). [hyper(58,a,8871,a(flip),b,8657,a),flip(a)]. 9170 T(x,y * ((z \ (u * (w \ 1))) * w)) = T(x,y * (w \ ((w / z) * u))). [hyper(272,a,8519,a(flip),b,9169,a),flip(a)]. 9171 ((x * y) * (a(z,u,u) * w)) / (y * (a(z,u,u) * w)) = R(x,a(z,u,u) * y,w). [para(8371(a,1),8667(a,1,2))]. 9172 T(x,T(y,z * (u / w)) * (z * (u / w))) = T(x,(z * (u * (1 / w))) * y). [para(8550(a,1),8694(a,1,2,1))]. 9173 T(x,(y * (z * (1 / u))) * w) = T(x,(y * (z / u)) * w). [hyper(5779,a,9172,a),flip(a)]. 9174 T(x,(y * (z / (u \ 1))) * w) = T(x,(y * (z * u)) * w). [para(72(a,1),9173(a,1,2,1,2,2)),flip(a)]. 9175 T(x,y * ((1 / T(z,u / w)) * (u / w))) = T(x,y * ((u * (1 / w)) / z)). [para(6044(a,1),8699(a,1,2,2,1,2))]. 9176 T(x,y * ((z * (1 / u)) / w)) = T(x,y * ((z / u) / w)). [para(2793(a,1),9175(a,1,2,2)),flip(a)]. 9177 T(x,y * (((z \ 1) / u) / w)) = T(x,y * ((z \ (1 / u)) / w)). [hyper(58,a,8848,a(flip),b,9176,a),flip(a)]. 9178 T(x,(y \ (y \ z)) * (z * (y \ (y \ (y \ (y \ z)))))) = T(x,(y \ (y \ z)) \ 1). [para(7062(a,1),8700(a,1,2,2))]. 9179 T(x,y * ((z \ (u \ (z \ 1))) / u)) = T(x,y * ((u * z) \ (1 / (u * z)))). [para(7505(a,1),8852(a,1,2,2)),flip(a)]. 9180 T(x,y * ((z \ (u \ (z \ 1))) / u)) != w | T(x,(u * z) \ ((u * z) \ y)) = w. [para(9179(a,2),6147(a,1))]. 9181 T(x,y * (z * ((u * (u * (w / z))) * z))) = T(x,y * ((z * (u * u)) * w)). [para(3379(a,1),8897(a,2,2,2,1))]. 9182 T(x,y * (T(z,u) * ((u * w) * w))) = T(x,y * ((u * (w * w)) * z)). [para(5193(a,1),9181(a,1,2,2))]. 9183 T(x,y * (T(z,u) * (u * (w * w)))) = T(x,y * ((u * (w * w)) * z)). [hyper(58,a,8713,a(flip),b,9182,a)]. 9184 T(x,((y * (z * z)) \ u) * (T(T(y * (z * z),w),y) * (y * (z * z)))) = T(x,(y * (z * z)) * (u * K(y * (z * z),w))). [para(4740(a,1),9183(a,2,2))]. 9185 L(L(x,y,a(z,u,u)),a(z,u,u) * y,w) = L(x,y,a(z,u,u) * w). [hyper(733,a,8917,a)]. 9186 L(x,a(y,z,z) * u,w) = L(x,u,a(y,z,z) * w). [para(8402(a,1),9185(a,1,1))]. 9187 L(x,a(y,z,z) * u,w) = L(x,u,w). [hyper(272,a,8924,a(flip),b,9186,a),flip(a)]. 9189 L(x,L(y,z,z),u) = L(x,y,u). [para(2505(a,2),9187(a,1,2))]. 9190 L(x,L(y,z,y),u) = L(x,y,u). [para(3809(a,1),9187(a,1,2))]. 9191 L(x,a(y,y,z) * u,w) = L(x,u,w). [para(4244(a,1),9187(a,1,2,1))]. 9192 L(x,L(y,z,z) * u,w) = L(x,y * u,w). [para(8311(a,1),9187(a,1,2))]. 9193 L(x,L(y,z,z),L(u,w,w)) = L(x,y,u). [hyper(272,a,8929,a(flip),b,9189,a),flip(a)]. 9194 L(x,(1 / y) * z,u) = L(x,y \ z,u). [para(1996(a,1),9189(a,1,2)),flip(a)]. 9195 L(x,(y \ 1) \ z,u) = L(x,y * z,u). [para(2002(a,1),9189(a,1,2))]. 9196 L(x,T(y,z \ 1),u) = L(x,T(y,z),u). [para(2792(a,1),9189(a,1,2))]. 9197 L(x,y * (z \ 1),u) = L(x,y / z,u). [para(3112(a,1),9189(a,1,2)),flip(a)]. 9198 L(x,(y * y) * z,u) = L(x,y * (y * z),u). [para(3559(a,1),9189(a,1,2)),flip(a)]. 9199 L(x,(y \ z) * z,u) = L(x,z * (z / y),u). [para(3490(a,1),9189(a,1,2)),flip(a)]. 9200 L(x,(y \ z) * L(u,y,y),w) = L(x,((1 / y) * z) * u,w). [para(5938(a,1),9189(a,1,2))]. 9201 L(x,((y \ 1) * z) * L(u,y,y),w) = L(x,(((y \ 1) \ 1) \ z) * u,w). [para(5948(a,1),9189(a,1,2))]. 9202 L(x,T(y / z,y),u) = L(x,z \ y,u). [para(2340(a,1),9190(a,1,2))]. 9203 L(x,a(y,y,z) * u,w) = L(x,u,w) * 1. [hyper(272,a,3,a,b,9191,a),flip(a)]. 9204 L(x,y * a(z,z,u),w) = L(x,y,w). [para(5594(a,1),9191(a,1,2))]. 9205 L(x,y * L(z,u,u),w) = L(x,y * z,w). [para(8385(a,1),9191(a,1,2))]. 9206 L(x,y * (z * L(u,w,w)),v5) = L(x,y * (z * u),v5). [para(8390(a,1),9191(a,1,2))]. 9207 L(x,(1 / y) * z,(1 / u) * w) = L(x,y \ z,u \ w). [hyper(272,a,8939,a(flip),b,9194,a),flip(a)]. 9208 L(x,(y \ z) / y,u) = L(x,y \ (z / y),u). [para(376(a,1),9194(a,1,2))]. 9209 L(x,T(y,z) \ z,u) = L(x,z / y,u). [para(2793(a,1),9194(a,1,2)),flip(a)]. 9210 L(x,(((y \ 1) \ 1) \ z) * u,w) = L(x,((z \ 1) * y) \ u,w). [para(4148(a,1),9194(a,1,2,1))]. 9211 L(x,(1 / y) \ z,u) = L(x,y * z,u). [hyper(58,a,2463,a,b,9195,a)]. 9212 L(x,(y * z) * z,u) = L(x,z * (z * y),u). [para(3503(a,1),9195(a,1,2))]. 9213 L(x,T(y,z),z \ K(y,z)) = L(x,y,z \ 1). [hyper(58,a,9161,a(flip),b,9196,a),flip(a)]. 9214 L(x,T(y,z),z \ 1) = L(x,y,z \ 1). [hyper(58,a,9007,a(flip),b,9196,a),flip(a)]. 9215 L(x,y / z,y) = L(x,z \ y,y). [hyper(58,a,9007,a(flip),b,9202,a)]. 9216 L(L(x,y \ (z \ (y \ 1)),y),(y \ 1) / z,y \ 1) = L(x,y,y). [hyper(272,a,7699,a(flip),b,9215,a),flip(a)]. 9217 a(x,y,T(z,u) \ u) = x * L(x \ 1,u / z,y). [hyper(114,a,9209,a(flip),b,1184,a(flip)),flip(a)]. 9218 L(x,(y \ 1) * z,u) = L(x,y \ z,u). [para(72(a,1),9211(a,1,2,1)),flip(a)]. 9219 L(x,y * (z / y),u) = L(x,T(z,y),u). [para(2920(a,2),9211(a,1,2)),flip(a)]. 9220 L(x,(K(y,z) * u) \ w,v5) = L(x,(u \ K(y,z)) * w,v5). [para(5631(a,1),9211(a,1,2,1))]. 9221 L(x,T(y,z),(K(y,u) * z) \ 1) = L(x,y,(K(y,u) * z) \ 1). [para(5367(a,1),9214(a,1,2))]. 9222 L(x,(y \ 1) * z,(u \ 1) * w) = L(x,y \ z,u \ w). [hyper(272,a,8989,a(flip),b,9218,a),flip(a)]. 9223 L(x,(y \ 1) / z,u) = L(x,y \ (z \ 1),u). [hyper(58,a,9197,a(flip),b,9218,a)]. 9224 L(x,((y \ (z \ 1)) \ u) \ 1,w) = L(x,u \ ((1 / y) / z),w). [para(4904(a,2),9218(a,1,2))]. 9225 L(x,y * (z / y),T(z,y)) = L(x,z,z). [hyper(272,a,6180,a(flip),b,9219,a),flip(a)]. 9226 L(x,(y \ z) * y,u) = L(x,T(z,y),u). [para(2828(a,2),9219(a,1,2))]. 9227 L(x,y * (z / y),T(z,y)) != u | L(x,z,z) = u. [para(9219(a,2),6181(a,1))]. 9228 L(x,((1 / y) * z) * u,w) = L(x,(y \ z) * u,w). [para(1996(a,1),9192(a,1,2,1)),flip(a)]. 9229 L(x,(y * (z \ 1)) * u,w) = L(x,(y / z) * u,w). [para(3112(a,1),9192(a,1,2,1)),flip(a)]. 9230 L(x,a(y,y,z) * u,w) != v5 | L(x,u,w) = v5. [para(9203(a,2),119(a,1)),flip(b)]. 9231 a(x,y,z * L(u,w,w)) = x * L(x \ 1,z * u,y). [hyper(114,a,9205,a(flip),b,1184,a(flip)),flip(a)]. 9232 L(x,y * (z * (u \ 1)),w) = L(x,y * (z / u),w). [para(3112(a,1),9205(a,1,2,2)),flip(a)]. 9233 L(x,(y * y) * z,(u * u) * w) = L(x,y * (y * z),u * (u * w)). [hyper(272,a,8932,a(flip),b,9198,a),flip(a)]. 9234 L(x,y \ (z / y),y) = L(x,y \ (y \ z),y). [hyper(58,a,9009,a(flip),b,9208,a),flip(a)]. 9235 L(x,(y \ 1) / z,u) = L(x,y \ (1 / z),u). [hyper(272,a,2466,a,b,9223,a),flip(a)]. 9236 L(x,y * L(z,u,u),w) != v5 | L(x,y * z,w) = v5. [para(8385(a,1),9230(a,1,2))]. 9237 a(x,y,T(z,u) \ u) = a(x,y,u / z). [hyper(272,a,1178,a,b,9217,a),flip(a)]. 9238 a(x,y,z \ T(u,z)) = a(x,y,u / z). [para(2245(a,1),9237(a,1,3))]. 9239 a(x,y,z / T(u,z)) = a(x,y,u \ z). [para(2765(a,1),9237(a,1,3,1)),flip(a)]. 9240 a(x,y,z * (u \ 1)) = a(x,y,z / u). [para(2935(a,1),9237(a,1,3))]. 9241 a(x,y,(z \ u) / z) = a(x,y,z \ (u / z)). [para(2775(a,1),9238(a,1,3,2)),flip(a)]. 9242 a(x,y,(z \ 1) \ u) = a(x,y,z * u). [para(2241(a,1),9239(a,1,3)),flip(a)]. 9243 a(x,y,(1 / z) * u) = a(x,y,z \ u). [para(2242(a,1),9239(a,1,3))]. 9244 a(x,y,(z * z) * u) = a(x,y,z * (z * u)). [para(3523(a,1),9242(a,1,3))]. 9245 a(x,y,(1 / z) * (z * u)) = a(x,y,u). [para(4(a,1),9243(a,2,3))]. 9246 a(x,y,(z * z) \ u) = a(x,y,z \ (z \ u)). [para(3261(a,1),9243(a,1,3))]. 9247 a(x,y,L(z,u,u)) = a(x,y,z). [para(3118(a,1),9245(a,1,3))]. 9248 a(x,y,T(z,u \ 1)) = a(x,y,T(z,u)). [para(2792(a,1),9247(a,1,3))]. 9249 a(x,y,1 / (T(z,u) / u)) = a(x,y,T(u / z,u)). [para(4276(a,2),9248(a,1,3))]. 9251 L(x,((1 / y) / z) * u,w) = L(x,(y \ (z \ 1)) * u,w). [hyper(58,a,9228,a(flip),b,9229,a),flip(a)]. 9252 L(x,y * (z * ((u \ 1) * w)),v5) = L(x,y * (z / (w \ u)),v5). [hyper(58,a,4102,a(flip),b,9232,a)]. 9253 L(x,y \ (z * z),u) = L(x,z * (z / y),u). [para(3290(a,1),9232(a,1,2))]. 9254 L(x,(1 / y) \ z,u) != w | L(x,y * z,u) = w. [para(2000(a,1),9236(a,1,2))]. 9255 L(x,y * ((z \ 1) \ u),w) != v5 | L(x,y * (z * u),w) = v5. [para(2002(a,1),9236(a,1,2,2))]. 9256 L(x,T(y * z,z),u) != w | L(x,z * y,u) = w. [para(2915(a,1),9236(a,1,2))]. 9257 L(x,y * (z / u),w) != v5 | L(x,y * (z * (u \ 1)),w) = v5. [para(3112(a,1),9236(a,1,2,2))]. 9259 L(x,(y \ 1) \ z,u) != w | L(x,y * z,u) = w. [para(2463(a,1),9254(a,1))]. 9260 L(x,T(y,z),u) != w | L(x,z * (y / z),u) = w. [para(2920(a,2),9254(a,1,2))]. 9262 L(x,y * z,z) != u | L(x,z * y,z) = u. [para(9007(a,1),9256(a,1))]. 9263 L(x,(y * z) * z,u) != w | L(x,z * (z * y),u) = w. [para(3503(a,1),9259(a,1,2))]. 9264 L(x,(y \ ((z \ y) \ 1)) \ u,w) != v5 | L(x,(z \ (y * y)) * u,w) = v5. [para(4563(a,1),9259(a,1,2,1))]. 9265 a(x,y,(T(z,u) / u) \ 1) = a(x,y,T(u / z,u)). [hyper(58,a,2601,a(flip),b,9249,a)]. 9266 L(x,y * (z * ((1 / u) * w)),v5) = L(x,y * (z * (u \ w)),v5). [para(1996(a,1),9206(a,1,2,2,2)),flip(a)]. 9267 L(x,y * (z * ((u \ 1) \ w)),v5) = L(x,y * (z * (u * w)),v5). [para(2002(a,1),9206(a,1,2,2,2))]. 9268 L(x,y * ((z \ 1) * u),w) = L(x,y * (z \ u),w). [para(2030(a,1),9206(a,1,2,2)),flip(a)]. 9269 L(x,y * (z * (u * (w \ 1))),v5) = L(x,y * (z * (u / w)),v5). [para(3112(a,1),9206(a,1,2,2,2)),flip(a)]. 9270 L(x,y * ((z \ 1) / u),w) = L(x,y * (z \ (u \ 1)),w). [hyper(58,a,9232,a(flip),b,9268,a)]. 9271 a(x,y,z * L(u,w,w)) = a(x,y,z * u). [hyper(272,a,1178,a,b,9231,a),flip(a)]. 9272 a(x,y,(z \ 1) * u) = a(x,y,z \ u). [para(2030(a,1),9271(a,1,3)),flip(a)]. 9273 a(x,y,z * (T(u,u \ w) / w)) = a(x,y,z * (w \ u)). [para(5727(a,1),9271(a,1,3,2))]. 9274 a(x,y,(z \ 1) * (z * u)) = a(x,y,u). [para(4(a,1),9272(a,2,3))]. 9275 a(x,y,z * ((1 / z) * u)) = a(x,y,u). [para(74(a,1),9274(a,1,3,1))]. 9276 a(x,y,z * (u / z)) = a(x,y,T(u,z)). [para(3576(a,1),9274(a,1,3))]. 9277 a(x,y,z * (1 / u)) = a(x,y,z / u). [para(3537(a,1),9275(a,1,3))]. 9278 a(x,y,T(z * u,z)) = a(x,y,u * z). [para(2806(a,1),9276(a,1,3)),flip(a)]. 9279 a(x,y,z / T(u,z \ 1)) = a(x,y,(1 / u) * z). [para(4195(a,2),9278(a,1,3))]. 9280 a(x,y,z / (T(z,z \ 1) * u)) = a(x,y,(1 / (u * z)) * z). [para(4043(a,1),9279(a,1,3,2))]. 9281 L(x,(y * y) \ z,(1 / u) * w) = L(x,y \ (y \ z),u \ w). [para(3261(a,1),9207(a,1,2))]. 9282 L(x,(y \ 1) * z,(y \ 1) * z) = L(x,z / y,z / y). [hyper(272,a,6982,a,b,9222,a),flip(a)]. 9283 L(x,((1 / y) * z) * u,w) != v5 | L(x,(y \ z) * u,w) = v5. [para(9200(a,1),9236(a,1))]. 9285 L(x,T(y,z),z \ K(y,u)) = L(x,y,(K(y,u) * z) \ 1). [para(5610(a,1),9221(a,1,3))]. 9286 L(x,T(y,z),z \ K(y,u)) = L(x,y,z \ K(y,u)). [para(5610(a,1),9285(a,2,3))]. 9287 L(x,y,z \ K(y,z)) = L(x,y,z \ 1). [hyper(58,a,9213,a(flip),b,9286,a),flip(a)]. 9288 L(x,y * (z * ((u \ 1) * w)),v5) = L(x,y * (z * (u \ w)),v5). [hyper(58,a,2471,a(flip),b,9266,a)]. 9289 L(x,y * (T(z,u * (w \ 1)) * (u / w)),v5) = L(x,y * ((u * (w \ 1)) * z),v5). [para(2778(a,1),9269(a,1,2,2)),flip(a)]. 9290 L(x,y * (z * (u / z)),w) = L(x,y * T(u,z),w). [para(2843(a,2),9269(a,1,2,2)),flip(a)]. 9291 L(x,y * T(z * u,z),w) = L(x,y * (u * z),w). [para(2806(a,1),9290(a,1,2,2)),flip(a)]. 9292 L(x,y * T(K(z,u \ 1),u),w) = L(x,y * (u * T(1 / u,z)),w). [para(2715(a,1),9290(a,1,2,2,2)),flip(a)]. 9293 L(x,(y / z) * (u * (z / u)),w) = L(x,y * K(z,u),w). [para(3668(a,1),9290(a,2,2))]. 9294 L(x,y * K(z,z \ u),w) = L(x,y * K(u,z),w). [para(8081(a,1),9293(a,1,2))]. 9295 a(x,y,(1 / z) / (z \ u)) = a(x,y,(1 / (u * z)) * z). [para(6411(a,1),9280(a,1,3))]. 9296 L(x,(y * y) \ z,(u * u) \ w) = L(x,y \ (y \ z),u \ (u \ w)). [para(3261(a,1),9281(a,1,3))]. 9297 L(x,y * (z / (u \ w)),v5) = L(x,y * (z * (w \ u)),v5). [hyper(58,a,9252,a(flip),b,9288,a)]. 9298 L(x,y * (z * (u \ ((u \ 1) \ w))),v5) = L(x,y * (z * w),v5). [para(5(a,1),9288(a,1,2,2,2)),flip(a)]. 9299 L(x,y * (z * (((u * (w \ u)) \ u) * v5)),v6) = L(x,y * (z * (((u \ w) \ 1) \ v5)),v6). [para(4107(a,1),9288(a,1,2,2,2,1))]. 9300 L(x,y * (z * (u \ (K(w,w \ 1) * v5))),v6) = L(x,y * (z * ((((w * u) \ 1) * w) * v5)),v6). [para(5796(a,1),9288(a,1,2,2,2)),flip(a)]. 9301 x * L(x \ 1,y * (z * (u \ w)),v5) = a(x,v5,y * (z / (w \ u))). [hyper(114,a,9297,a(flip),b,1184,a(flip))]. 9302 L(x,y * (z * (u * ((1 / u) * w))),v5) = L(x,y * (z * w),v5). [para(3501(a,1),9298(a,1,2,2,2))]. 9303 L(x,y * (z * (((u \ 1) * w) * L(v5,u,u))),v6) = L(x,y * (z * ((u \ w) * v5)),v6). [para(7634(a,1),9302(a,1,2,2,2))]. 9304 L(x,y * T(K(z,u \ 1),u),w) = L(x,y * K(u,u \ z),w). [para(3551(a,1),9292(a,2,2,2))]. 9305 L(x,y * K(z,z \ u),w) = L(x,y * K(u,1 / z),w). [para(5251(a,1),9304(a,1,2,2)),flip(a)]. 9306 L(x,y * K(z,u \ 1),w) = L(x,y * K(u,u \ z),w). [para(2369(a,1),9305(a,2,2,2)),flip(a)]. 9307 L(x,y * K(z,u \ 1),w) = L(x,y * K(z,u),w). [hyper(272,a,9294,a(flip),b,9306,a),flip(a)]. 9308 L(x,y * K(z,u \ 1),w) = L(x,y * K(u,z),w). [para(28(a,1),9307(a,2,2,2))]. 9309 a(x,y,z * (u / (w \ v5))) = a(x,y,z * (u * (v5 \ w))). [hyper(1204,a,9301,a),flip(a)]. 9310 a(x,y,z * (u / (w \ v5))) != v6 | a(x,y,z * (u * (v5 \ w))) = v6. [para(9301(a,1),1204(a,1))]. 9311 a(x,y,z * (1 * (u \ w))) = a(x,y,z / (w \ u)). [hyper(58,a,9277,a(flip),b,9309,a),flip(a)]. 9312 a(x,y,z / (u \ w)) = a(x,y,z * (w \ u)). [para(2(a,1),9311(a,1,3,2)),flip(a)]. 9313 a(x,y,(1 / (z * u)) * u) = a(x,y,(1 / u) * (z \ u)). [hyper(58,a,9295,a(flip),b,9312,a)]. 9314 ((1 / ((1 / x) \ y)) \ a(1 / ((1 / x) \ y),x,1 * (y \ (1 / x)))) * x = x / ((y * x) \ 1). [para(9312(a,1),6797(a,1,1,2))]. 9315 a(x,y,(1 / (z * u)) * u) = a(x,y,u \ (z \ u)). [hyper(272,a,9243,a(flip),b,9313,a),flip(a)]. 9316 a(x,y,(z * u) \ u) = a(x,y,u \ (z \ u)). [hyper(58,a,9243,a(flip),b,9315,a)]. 9317 L(x,((y \ 1) * z) * L(u,y,y),w) = L(x,((z \ 1) * y) \ u,w). [hyper(272,a,9210,a(flip),b,9201,a),flip(a)]. 9318 L(x,y,(z \ (K(u,u \ 1) * w)) * v5) = L(x,y,(((u * z) \ u) * w) * v5). [hyper(272,a,9153,a(flip),b,9045,a),flip(a)]. 9319 L(x,y,((z \ u) * K(w,w \ 1)) * v5) = L(x,y,(((w * z) \ w) * u) * v5). [para(2142(a,1),9318(a,1,3,1))]. 9320 L(x,y,(z \ u) * (w * K(v5,v5 \ 1))) = L(x,y,(((v5 * z) \ v5) * u) * w). [para(2129(a,1),9319(a,1,3))]. 9321 L(x,y,(((z * u) \ z) * w) * v5) = L(x,y,(u \ w) * v5). [hyper(58,a,2453,a(flip),b,9320,a),flip(a)]. 9323 L(x,y,((z \ u) \ w) * v5) = L(x,y,((u \ z) * w) * v5). [hyper(58,a,9155,a(flip),b,9321,a),flip(a)]. 9325 L(x,y,((z \ u) * w) * T(v5,(u \ z) \ w)) = L(x,y,v5 * ((u \ z) \ w)). [para(98(a,1),9323(a,1,3)),flip(a)]. 9326 L(x,y,((z \ u) * w) * (T(v5,(u \ z) \ w) \ 1)) = L(x,y,v5 \ ((u \ z) \ w)). [para(3006(a,1),9323(a,1,3)),flip(a)]. 9327 L(x,y,((z \ u) * w) * T(v5,(z \ u) * w)) = L(x,y,v5 * ((u \ z) \ w)). [para(8614(a,1),9325(a,1,3,2))]. 9328 L(x,y,z * ((u \ w) \ v5)) = L(x,y,z * ((w \ u) * v5)). [para(98(a,1),9327(a,1,3)),flip(a)]. 9329 L(x,y,z * (((u * w) \ u) * v5)) = L(x,y,z * (w \ v5)). [para(4(a,1),9328(a,1,3,2,1)),flip(a)]. 9330 L(x,y,z * (T(u \ w,v5) \ v5)) = L(x,y,z * ((w \ u) * T(v5,u \ w))). [para(2245(a,2),9328(a,1,3,2))]. 9331 L(x,y,z * ((u / w) \ v5)) = L(x,y,z * ((w / u) * v5)). [para(3309(a,1),9329(a,1,3,2,1)),flip(a)]. 9332 L(x,y,((z * u) \ z) * ((w / v5) * v6)) = L(x,y,u \ ((v5 / w) \ v6)). [hyper(58,a,9090,a(flip),b,9331,a),flip(a)]. 9333 L(x,y,z * (((u * w) / u) \ w)) = L(x,y,z * K(u,w \ 1)). [para(3355(a,1),9331(a,2,3,2))]. 9334 L(x,y,z * K(u,w \ 1)) = L(x,y,z * K(w,u)). [para(2824(a,2),9333(a,1,3,2)),flip(a)]. 9335 L(x,y,z * K(u,w \ 1)) = L(x,y,z * K(u,w)). [para(28(a,1),9334(a,2,3,2))]. 9336 x * L(x \ 1,y,z * K(u,w)) = a(x,z * K(u,w \ 1),y). [hyper(114,a,9335,a(flip),b,1184,a(flip))]. 9337 a(x,y * K(z,u \ 1),w) = a(x,y * K(z,u),w). [hyper(1204,a,9336,a),flip(a)]. 9339 L(x,y,z \ ((u / w) \ v5)) = L(x,y,z \ ((w / u) * v5)). [hyper(58,a,9090,a(flip),b,9332,a),flip(a)]. 9340 L(x,y,z * ((u \ w) * T(v5,w \ u))) = L(x,y,z * (v5 / (w \ u))). [hyper(58,a,9037,a(flip),b,9330,a),flip(a)]. 9341 L(x,y,z * (u / ((w \ v5) \ 1))) = L(x,y,z * (u / (v5 \ w))). [para(4463(a,1),9340(a,1,3,2))]. 9342 L(x,y,z * (u / (w \ v5))) = L(x,y,z * (u * (v5 \ w))). [hyper(58,a,9046,a(flip),b,9341,a),flip(a)]. 9343 L(x,y,z * (u * (T(w,v5 \ 1) \ (1 / v5)))) = L(x,y,z * (u / (w * v5))). [para(2791(a,1),9342(a,1,3,2,2)),flip(a)]. 9344 L(x,y,z * (u * ((1 / w) * (v5 \ 1)))) = L(x,y,z * (u / (v5 * w))). [para(3005(a,1),9343(a,1,3,2,2))]. 9345 L(x,y,z * (u * (w \ (v5 \ 1)))) = L(x,y,z * (u / (v5 * w))). [hyper(58,a,9052,a(flip),b,9344,a)]. 9346 R(x,a(y,z,z) * u,w) = R(x,u,a(y,z,z) * w). [hyper(457,a,9171,a),flip(a)]. 9347 R(x,a(y,z,z) * u,w) = R(x,u,w). [hyper(272,a,8749,a(flip),b,9346,a),flip(a)]. 9349 R(x,L(y,z,z),u) = R(x,y,u). [para(2505(a,2),9347(a,1,2))]. 9350 R(x,L(y,z,y),u) = R(x,y,u). [para(3809(a,1),9347(a,1,2))]. 9351 R(x,(y \ 1) \ z,u) = R(x,y * z,u). [para(2002(a,1),9349(a,1,2))]. 9352 R(x,y * (z \ 1),u) = R(x,y / z,u). [para(3112(a,1),9349(a,1,2)),flip(a)]. 9353 R(x,(y \ z) * z,u) = R(x,z * (z / y),u). [para(3490(a,1),9349(a,1,2)),flip(a)]. 9354 R(x,(y / z) * y,u) = R(x,y * (z \ y),u). [para(6218(a,1),9349(a,1,2)),flip(a)]. 9355 R(x,y * (1 / z),u) = R(x,y / z,u). [hyper(58,a,2478,a,b,9352,a)]. 9356 R(x,y * (z \ (u \ z)),w) = R(x,y / T(u,z),w). [para(2999(a,1),9352(a,1,2,2))]. 9357 R(x,y / (z \ 1),u) = R(x,y * z,u). [para(72(a,1),9355(a,1,2,2)),flip(a)]. 9358 R(x,(y \ z) * y,u) = R(x,T(z,y),u). [para(678(a,2),9357(a,1,2)),flip(a)]. 9359 R(x,y * (z / y),u) = R(x,T(z,y),u). [para(2828(a,1),9358(a,1,2))]. 9360 L(x,y * (T(z,u / w) * (u / w)),v5) = L(x,y * ((u * (w \ 1)) * z),v5). [para(5988(a,1),9289(a,1,2,2,1))]. 9361 L(x,y * ((z * (u \ 1)) * w),v5) = L(x,y * ((z / u) * w),v5). [para(2778(a,1),9360(a,1,2,2)),flip(a)]. 9362 L(x,y * ((z / (1 / u)) * w),v5) = L(x,y * ((z * u) * w),v5). [para(74(a,1),9361(a,1,2,2,1,2)),flip(a)]. 9363 L(x,y * ((T(z,u) \ u) * w),v5) = L(x,y * ((u / z) * w),v5). [para(2935(a,2),9361(a,1,2,2,1))]. 9364 L(x,y * (((z \ u) * u) * w),v5) = L(x,y * ((u * (u / z)) * w),v5). [para(3471(a,1),9362(a,1,2,2,1))]. 9365 L(x,y * ((1 * (1 / (L(z,u,u) \ 1))) * w),v5) = L(x,y * (((u * ((z \ u) \ 1)) * 1) * w),v5). [para(4950(a,1),9364(a,1,2,2,1,1)),flip(a)]. 9366 L(x,y,((z \ u) * w) * (T(v5,(z \ u) * w) \ 1)) = L(x,y,v5 \ ((u \ z) \ w)). [para(8614(a,1),9326(a,1,3,2,1))]. 9367 L(x,y,z \ ((u \ w) \ v5)) = L(x,y,z \ ((w \ u) * v5)). [para(3006(a,1),9366(a,1,3)),flip(a)]. 9368 L(x,y \ z,z \ ((z \ y) * 1)) = L(x,y \ z,z \ (y / z)). [hyper(58,a,9159,a(flip),b,9367,a),flip(a)]. 9369 L(x,y \ z,z \ (y / z)) = L(x,y \ z,z \ (z \ y)). [para(3(a,1),9368(a,1,3,2)),flip(a)]. 9370 L(x,y,z) \ T(L(x,y,z) * K(u,x),u) = x \ (x * a(z,y,K(x \ u,x))). [para(8326(a,1),8272(a,1,2))]. 9371 x \ (x * a(y,z,K(x \ u,x))) = K(L(x,z,y),u) * K(u,x). [hyper(58,a,4614,a(flip),b,9370,a),flip(a)]. 9372 x \ (x * a(y,z,K(x \ u,x))) = a(y,z,K(u,x)). [hyper(272,a,8248,a(flip),b,9371,a),flip(a)]. 9373 a(x,y,K(z \ u,z)) = a(x,y,K(u,z)). [hyper(287,a,9372,a)]. 9374 K(x,y * (L(y,z,u) \ x)) = a(u,z,K(x,y)). [hyper(58,a,8876,a,b,9373,a)]. 9376 a(x,y,K(z * u,z)) = a(x,y,K(u,z)). [para(4(a,1),9373(a,1,3,1)),flip(a)]. 9377 a(x,y,K(z \ 1,u)) = a(x,y,K(z \ u,u)). [para(2669(a,1),9373(a,1,3))]. 9378 a(x,y,K(z,u \ z)) = a(x,y,K(u,u \ z)). [para(2894(a,1),9373(a,1,3)),flip(a)]. 9379 a(x,y,K(z,z \ u)) = 1 / a(x,y,K(u,z)). [para(9373(a,1),7947(a,1,2)),flip(a)]. 9380 a(x * y,z,K(y,x)) = 1. [hyper(58,a,4316,a(flip),b,9376,a),flip(a)]. 9381 L(K(x,y),z,y * x) = K(x,y). [hyper(47,a,9380,a)]. 9382 L(K(x,y),z,y * x) = K(x,u \ (x \ (u * (y * x)))). [hyper(272,a,8056,a,b,9381,a),flip(a)]. 9383 K(x,y) * ((y * x) * z) = (y * x) * (K(x,y) * z). [para(9381(a,1),7988(a,1,1))]. 9384 K(x,x * (L(y,z,u) \ y)) = a(u,z,K(x,y)). [hyper(58,a,8170,a(flip),b,9374,a)]. 9385 a(x,y,a(z,u,K(y,w))) = 1. [para(9374(a,1),2665(a,1,3))]. 9386 a(x,y,K(z,z \ u)) = a(x,y,K(z,u)). [hyper(272,a,7947,a(flip),b,9379,a),flip(a)]. 9387 a(x,y,K(z,u \ z)) = a(x,y,K(u,z)). [hyper(58,a,9378,a,b,9386,a)]. 9388 a(x,y,K(z \ u,u)) = a(x,y,K(u,z)). [para(4454(a,1),9387(a,1,3)),flip(a)]. 9389 a(x,y,K(z \ 1,u)) = a(x,y,K(u,z)). [hyper(58,a,9377,a,b,9388,a)]. 9390 a(x,y,K(z,u \ 1)) = a(x,y,K(z,u)). [para(28(a,1),9389(a,1,3))]. 9391 (x * K(L(y,z,u) \ y,x)) \ L(x,L(y,z,u) \ y,x) = a(u,z,K(x,y)). [hyper(58,a,4586,a,b,9384,a)]. 9392 K(x * (L(y,z,u) \ y),x) = w / (a(u,z,K(x,y)) * w). [para(9384(a,1),3883(a,1,2,1)),flip(a)]. 9393 K(x,((x * y) * z) / ((x * y) * (y \ z))) = ((x * y) * z) / (K(y,x) * ((x * y) * z)). [para(9383(a,2),6577(a,2,2))]. 9395 L(K(x,y),z,y * x) = K(x,((u / w) * w) \ (x \ (u * (y * x)))). [para(135(a,1),9382(a,2,2,2,2))]. 9396 K(x * (L(y,z,u) \ y),x) = a(u,z,K(y,x)). [hyper(272,a,7949,a(flip),b,9392,a),flip(a)]. 9397 a(x,y,K(L(z,u,w) \ z,v5)) = a(x,y,a(w,u,K(z,v5))). [para(9396(a,1),9376(a,1,3)),flip(a)]. 9398 a(x,y,K(L(y,z,u) \ y,w)) = 1. [hyper(272,a,9385,a(flip),b,9397,a),flip(a)]. 9399 K(L(x,y,z) \ x,u) = K(a(z,y,x),u) * 1. [para(9398(a,1),7923(a,1,2)),flip(a)]. 9400 K(L(x,y,z) \ x,u) = K(a(z,y,x),u). [hyper(272,a,3,a(flip),b,9399,a),flip(a)]. 9402 K(x,L(y,z,u) \ y) = w / (K(a(u,z,y),x) * w). [para(9400(a,1),3883(a,1,2,1)),flip(a)]. 9403 K(x,L(y,z,u) \ y) = K(x,a(u,z,y)). [hyper(272,a,3883,a(flip),b,9402,a),flip(a)]. 9405 T(x,L(y,z,u) \ y) = x * K(x,a(u,z,y)). [hyper(114,a,9403,a(flip),b,2672,a(flip)),flip(a)]. 9406 T(x,L(y,z,u) \ y) = T(x,a(u,z,y)). [hyper(272,a,2674,a,b,9405,a),flip(a)]. 9407 L(K(x,y),z,y * x) = K(x,((u / w) * (w * x)) \ (u * (y * x))). [hyper(272,a,7072,a,b,9395,a),flip(a)]. 9408 K(x,((y / z) * (z * x)) \ (y * (u * x))) = K(x,u). [hyper(318,a,9407,a),flip(a)]. 9409 (x * K(y,z)) * (z * y) = (x * (z * y)) * K(y,z). [hyper(114,a,9408,a(flip),b,7376,a(flip)),flip(a)]. 9410 (x * K(y,z)) * (z * y) = x * (y * z). [hyper(272,a,8063,a(flip),b,9409,a),flip(a)]. 9411 (x / (y * z)) * K(y,z) = x / (z * y). [hyper(113,a,7,a(flip),b,9410,a),flip(a)]. 9412 (x * T(y,z)) * (y * z) = (x * y) * (z * y). [para(3659(a,1),9410(a,1,1))]. 9413 ((x * R(y,z,u)) / (T(x,y) * R(y,z,u))) * K(T(x,y),R(y,z,u)) = K(x * y,x * R(y,z,u)). [hyper(272,a,8814,a(flip),b,9411,a),flip(a)]. 9414 ((1 / x) * y) * (x * y) = (y / x) * (y * x). [para(2780(a,1),9412(a,1,1)),flip(a)]. 9415 ((x * y) \ T(y,z)) * (T(y,z) / (x * y)) = ((K(y,z) * x) * (y * x)) \ T(y,z). [para(9412(a,1),6967(a,1,1)),flip(a)]. 9416 (x * ((1 / y) \ x)) / y = ((1 / y) * x) * (y * x). [hyper(272,a,5916,a,b,9414,a)]. 9417 x \ (y * ((x * y) * x)) = y * ((1 / x) \ y). [hyper(772,a,9416,a)]. 9418 x * (y * ((1 / x) \ y)) = y * ((x * y) * x). [hyper(127,a,9417,a)]. 9419 (x * y) * ((1 / x) \ y) = y * (x * ((1 / y) \ x)). [hyper(272,a,6711,a,b,9418,a)]. 9420 x * (((y \ 1) * x) * (y \ 1)) = (y \ 1) * (x * (y \ x)). [para(72(a,1),9418(a,1,2,2,1)),flip(a)]. 9421 K(x,y * ((z * y) * z)) = a(x,y * z,y * z). [para(9418(a,1),6512(a,1,2))]. 9422 T(x,(y \ (z * ((1 / (y \ 1)) \ z))) * u) = T(x,(z * (((y \ 1) * z) * (y \ 1))) * u). [para(9418(a,1),8587(a,1,2,1)),flip(a)]. 9423 a(x,x * y,x * y) = K(x,y * (y / x)). [hyper(58,a,8107,a(flip),b,9421,a),flip(a)]. 9424 a(x,x * y,x * y) = K(x,y * (x \ y)). [hyper(272,a,5378,a(flip),b,9423,a),flip(a)]. 9425 T(x,y * (z * (u * ((1 / z) \ u)))) = T(x,y * ((u * z) * (u * z))). [para(9419(a,1),8683(a,1,2,2))]. 9426 (x \ 1) * (y * (x \ y)) = y * ((x \ y) / x). [para(4517(a,1),9420(a,1,2)),flip(a)]. 9427 (x \ 1) * (((x * y) \ 1) / y) = (1 / y) * ((x \ (1 / y)) / x). [para(4625(a,1),9426(a,1,2))]. 9428 (x \ 1) * (((x * y) \ 1) / y) = (y \ 1) * ((x \ (y \ 1)) / x). [para(5111(a,1),9426(a,1,2))]. 9429 (1 / x) * ((y \ (1 / x)) / y) = (x \ (y \ (1 / x))) / y. [hyper(7607,a,9427,a),flip(a)]. 9430 ((x \ (y \ (1 / x))) / y) / x = x \ (x \ (y \ ((1 / x) / y))). [para(9429(a,1),6725(a,1,1))]. 9431 x * ((x \ (y \ (1 / x))) / y) = (y \ (1 / x)) / y. [para(9429(a,1),7237(a,1,2))]. 9432 (x \ (y \ (1 / x))) / y = x \ ((y \ (1 / x)) / y). [hyper(117,a,9431,a),flip(a)]. 9433 x * ((x \ (y \ (1 / x))) / y) != z | (y \ (1 / x)) / y = z. [para(9432(a,2),230(a,1,2))]. 9434 (x \ 1) * ((x * y) \ (1 / y)) = (y \ 1) * (((y * x) \ 1) / x). [para(4858(a,1),9428(a,2,2)),flip(a)]. 9435 (x \ ((y \ (1 / x)) / y)) / x = x \ (x \ (y \ ((1 / x) / y))). [para(9432(a,1),9430(a,1,1))]. 9436 (x \ 1) * ((x * y) \ (1 / y)) = (x \ (y \ (1 / x))) / y. [hyper(272,a,7606,a(flip),b,9434,a),flip(a)]. 9437 (x \ 1) * ((x * y) \ (1 / y)) = x \ ((y \ (1 / x)) / y). [hyper(272,a,9432,a(flip),b,9436,a),flip(a)]. 9438 x * ((x \ (y \ (1 / x))) / y) = T(y \ ((x \ 1) / y),x). [para(9436(a,1),6730(a,1,2))]. 9439 (x * x) \ ((x * y) \ (1 / y)) = x \ (x \ ((y \ (1 / x)) / y)). [hyper(112,a,9437,a(flip),b,3527,a),flip(a)]. 9440 T(x \ ((y \ 1) / x),y) = (x \ (1 / y)) / x. [hyper(9433,a,9438,a),flip(a)]. 9441 ((x \ (1 / y)) / x) * y = y * (x \ ((y \ 1) / x)). [para(9440(a,1),2778(a,1,1))]. 9442 T(x,y * ((z * u) * (z * u))) = T(x,y * (u * (z * (u * z)))). [hyper(58,a,8867,a(flip),b,9425,a),flip(a)]. 9443 T(x,y * (z * ((u \ 1) * (z * (u \ 1))))) = T(x,y * ((u \ z) * (u \ z))). [para(5857(a,1),9442(a,1,2,2)),flip(a)]. 9444 (x * K(L(y,z,u) \ y,x)) \ L(x,a(u,z,y),x) = a(u,z,K(x,y)). [para(8786(a,1),9391(a,1,2))]. 9445 K(x,L(y,z,u) \ y) * (x \ L(x,a(u,z,y),x)) = a(u,z,K(x,y)). [hyper(4292,a,9444,a)]. 9446 x \ L(T(x,L(y,z,u) \ y),a(u,z,y),x) = a(u,z,K(x,y)). [hyper(58,a,6336,a(flip),b,9445,a)]. 9447 x \ L(T(x,a(y,z,u)),a(y,z,u),x) = a(y,z,K(x,u)). [para(9406(a,1),9446(a,1,2,1))]. 9448 K(x,x * a(y,z,u)) = a(y,z,K(x,u)). [hyper(3087,a,9447,a)]. 9449 T(x,y * ((z \ u) * (z \ u))) = T(x,y * (u * (z \ (u / z)))). [para(1137(a,1),9443(a,1,2,2,2)),flip(a)]. 9450 x \ T(x,y * (z * (u \ (z / u)))) = K(x,y * ((u \ z) * (u \ z))). [hyper(112,a,9449,a(flip),b,2674,a(flip))]. 9451 T(T(x,y * (z * (u \ (z / u)))),K(w,y * ((u \ z) * (u \ z)))) = T(x,T(y * ((u \ z) * (u \ z)),w)). [para(9449(a,1),5485(a,1,1))]. 9452 K(x,y * ((z \ u) * (z \ u))) = K(x,y * (u * (z \ (u / z)))). [hyper(2691,a,9450,a),flip(a)]. 9453 T(x,y * ((L(z,u,u) * (w / u)) * v5)) = T(x,y * ((z * (w * (u \ 1))) * v5)). [para(1132(a,1),8714(a,1,2,2,1)),flip(a)]. 9454 T(x,y * ((z * (u * (w \ 1))) * v5)) = T(x,y * ((z * (u / w)) * v5)). [hyper(58,a,8497,a(flip),b,9453,a),flip(a)]. 9456 T(x,y * ((z \ (u * (w \ 1))) * v5)) = T(x,y * (((z \ 1) * (u / w)) * v5)). [hyper(58,a,8842,a(flip),b,9454,a)]. 9457 T(x,y * ((z / (L(u,w,w) \ 1)) * v5)) = T(x,y * ((z * (w / (u \ w))) * v5)). [hyper(58,a,8662,a(flip),b,9454,a)]. 9458 T(x,y * ((z \ (u * u)) * w)) = T(x,y * ((u * (u / z)) * w)). [para(3290(a,1),9454(a,1,2,2,1))]. 9459 T(x,y * ((z \ (u * (w \ 1))) * v5)) = T(x,y * ((z \ (u / w)) * v5)). [hyper(272,a,8842,a(flip),b,9456,a),flip(a)]. 9460 T(x,y * (z \ ((z / u) * w))) = T(x,y * ((u \ (w / z)) * z)). [hyper(58,a,9170,a(flip),b,9459,a)]. 9461 T(x,y * ((z / (L(u,w,w) \ 1)) * v5)) = T(x,y * ((z * u) * v5)). [para(72(a,1),9457(a,2,2,2,1,2))]. 9463 (x * x) \ (y * (x * a(z,z,u))) = y / (x * a(z,z,u)). [para(5676(a,1),8370(a,1,1,2))]. 9464 x / (y * a(z,z,u)) = (x / y) * a(z,z,u). [hyper(58,a,8640,a(flip),b,9463,a),flip(a)]. 9465 (x / y) * a(z,z,T(u,w)) = x / (y * a(u,z,z)). [para(5665(a,1),9464(a,1,2,2)),flip(a)]. 9466 x / (y * a(z,u,u)) = (x / y) * a(z,u,u). [para(5665(a,1),9465(a,1,2)),flip(a)]. 9467 (x / y) * a(y,z,z) = x / L(y,z,z). [para(4247(a,1),9466(a,1,2)),flip(a)]. 9468 a(x,y,y) * (z / x) = z / L(x,y,y). [hyper(5604,a,9467,a)]. 9469 K(x,y / L(z,u,u)) = K(x,y / z). [para(9467(a,1),8446(a,1,2))]. 9470 T(x,y / L(z,u,u)) = T(x,y / z). [para(9467(a,1),8454(a,1,2))]. 9471 R(x,y,z / L(u,w,w)) = R(x,y,z / u). [para(9467(a,1),8747(a,1,3))]. 9472 K(x,y / ((z * z) * u)) = K(x,y / (u * (z * z))). [para(3635(a,1),9469(a,1,2,2)),flip(a)]. 9473 T(x,y * (1 / L(z,u,u))) = T(x,y / z). [hyper(6114,a,9470,a)]. 9474 T(x,y / (z / (1 / u))) = T(x,y / (z * u)). [para(2020(a,1),9470(a,1,2,2)),flip(a)]. 9475 T(x,y / T(z,u \ 1)) = T(x,y / T(z,u)). [para(2792(a,1),9470(a,1,2,2))]. 9476 (L(x,y,y) \ 1) \ (((x \ 1) * z) * u) = (z * (u * x)) / L(x,y,y). [hyper(58,a,7305,a,b,9468,a)]. 9477 L(x,y,y) \ (z / L(x,y,y)) = x \ (z / x). [hyper(112,a,9468,a(flip),b,4779,a)]. 9478 T(x,y * ((z \ 1) * (1 / u))) = T(x,y / (u * z)). [para(4186(a,1),9473(a,1,2,2))]. 9479 T(x,y / ((z * u) * u)) = T(x,y / (u * (u * z))). [para(3574(a,1),9474(a,1,2,2)),flip(a)]. 9480 T(x,y / ((z * u) * z)) = T(x,y / (z * (u * z))). [para(3589(a,1),9474(a,1,2,2)),flip(a)]. 9481 x \ L(y / L(x,z,z),z,z) = L(x \ (y / x),z,z). [para(9477(a,1),6503(a,1,1)),flip(a)]. 9482 (L(x,y,y) \ z) * (L(x,y,y) \ K(u,L(x,y,y) \ z)) = (x \ (z / x)) * K(u,L(x,y,y) \ z). [para(9477(a,1),6787(a,1,1)),flip(a)]. 9483 T(x,y * ((z \ 1) / u)) = T(x,y / (u * z)). [hyper(58,a,8550,a(flip),b,9478,a)]. 9484 T(x,y * (z \ (1 / u))) = T(x,y / (u * z)). [hyper(58,a,8519,a(flip),b,9478,a)]. 9485 K(x,y * ((z \ 1) / u)) = x \ T(x,y / (u * z)). [hyper(112,a,9483,a(flip),b,2674,a(flip)),flip(a)]. 9486 T(x,y * ((z \ 1) / (L(u,z,z) * (w / z)))) = T(x,y / (z \ ((z * u) * w))). [para(3121(a,1),9483(a,2,2,2))]. 9487 T(x,y / (z * ((u / w) * (1 / u)))) = T(x,y * ((u * (w / u)) / z)). [para(5062(a,1),9483(a,1,2,2,1)),flip(a)]. 9488 K(x,y) * T(T(x,y),z / (u * w)) = T(x,T(z * ((w \ 1) / u),y)). [para(9483(a,1),5429(a,1,2))]. 9489 K(x,y * ((z \ 1) / u)) = K(x,y / (u * z)). [hyper(272,a,2672,a,b,9485,a),flip(a)]. 9490 K(x,y * ((z \ 1) * (1 / u))) = K(x,y / (u * z)). [hyper(58,a,8499,a,b,9489,a)]. 9491 K(x,y / (z * (1 / u))) = K(x,y * (u / z)). [para(74(a,1),9489(a,1,2,2,1)),flip(a)]. 9492 K(x,y * (((z * u) * w) / z)) = K(x,y * (z * (u * (w / z)))). [hyper(58,a,8915,a(flip),b,9491,a),flip(a)]. 9493 L(x \ (y / x),z,z) = x \ (L(y,z,z) / x). [para(6498(a,1),9481(a,1,2)),flip(a)]. 9494 K(x,y * (y * (z * (u / y)))) = K(x,T((y * z) * u,y)). [hyper(58,a,6070,a(flip),b,9492,a),flip(a)]. 9495 T(x,T(y * ((z \ 1) / u),w)) = T(x,T(y / (u * z),w)). [hyper(5431,a,9488,a),flip(a)]. 9496 T(x,T(y / (z * K(u,w)),v5)) = T(x,T(y * (K(u,w) / z),v5)). [para(2879(a,1),9495(a,1,2,1,2,1)),flip(a)]. 9497 (a(x,y,x) * (z * (u * w))) \ ((a(x,y,x) * (z * u)) * w) = a(a(x,y,x) * z,u,w). [para(8391(a,1),8397(a,1,2,1))]. 9498 T(x,y * (T(z,u) * (((u * w) \ 1) / w))) = T(x,y * (w \ (u \ ((1 / w) * z)))). [para(4625(a,1),8517(a,1,2,2,2))]. 9499 T(x,T(y,z) * (a(T(1 / y,z),u,w) * v5)) = T(x,L(T(y,y \ z),w,u) * v5). [para(3517(a,1),8538(a,1,2,2,1,1))]. 9500 T(x,y * T((z * u) * w,R(z,u,w))) = T(x,y * ((T(z,u * w) * u) * w)). [para(93(a,1),8557(a,1,2,2,1))]. 9501 K(x,T(y,z * x) / T(z \ 1,T(y,(z \ 1) \ x) * z)) = K(x,y / (z \ 1)). [para(5983(a,1),8632(a,1,2,1))]. 9502 K(x,T(y,z * x) / T(z \ 1,T(y,z * x) * z)) = K(x,y / (z \ 1)). [para(5983(a,1),9501(a,1,2,2,2,1))]. 9503 K(x,T(y,z * x) / T(z \ 1,T(y * z,z * x))) = K(x,y / (z \ 1)). [para(8296(a,2),9502(a,1,2,2))]. 9504 T(x,y * ((z \ (((z \ 1) \ u) \ 1)) / w)) = T(x,y * ((z \ ((z * u) \ 1)) / w)). [para(4354(a,1),8851(a,1,2,2,1)),flip(a)]. 9505 R(x,(1 / y) \ y,((1 / y) \ y) \ z) = L(x,((y * z) \ 1) / y,(1 / y) \ y). [para(5928(a,1),8889(a,1,2)),flip(a)]. 9506 R(x,(1 / y) \ y,((1 / y) \ y) \ z) = L(x,((y * z) \ 1) / y,y * y). [hyper(272,a,8988,a(flip),b,9505,a),flip(a)]. 9507 L(x \ 1,y,y) \ (((x \ 1) * (1 / y)) * z) = L(y \ z,y,x \ (y \ 1)). [para(4237(a,1),9099(a,1,1))]. 9508 (L(x,y,y) \ 1) \ (((x \ 1) * (1 / y)) * z) = L(y \ z,y,x \ (y \ 1)). [para(3798(a,1),9507(a,1,1))]. 9509 ((1 / x) * (y * z)) / L(z,x,x) = L(x \ y,x,z \ (x \ 1)). [hyper(58,a,9476,a(flip),b,9508,a)]. 9510 L(x \ (x * y),x,z \ (x \ 1)) = R(y,z * (1 / x),x). [hyper(58,a,6869,a(flip),b,9509,a),flip(a)]. 9511 R(x,y * (1 / z),z) = L(x,z,y \ (z \ 1)). [para(4(a,1),9510(a,1,1)),flip(a)]. 9512 L(x,y,z \ (y \ 1)) = R(x,z / y,y). [hyper(58,a,9355,a(flip),b,9511,a),flip(a)]. 9513 L(x,y,z \ (y \ 1)) = R(x,y \ z,y). [hyper(272,a,8092,a(flip),b,9512,a),flip(a)]. 9514 L(x,y,y \ (z \ 1)) = R(x,y \ z,y). [hyper(9017,a,9513,a)]. 9515 L(R(x,y,z),z,z) = R(x,z \ y,z). [hyper(58,a,9107,a,b,9514,a)]. 9516 L(x,y,((z / y) \ y) \ 1) = R(x,y \ (z \ y),y). [hyper(58,a,9076,a,b,9514,a)]. 9517 L(x,y * (z * (((u * (w \ u)) \ u) * v5)),v6) = L(x,y * (z * ((u \ w) * v5)),v6). [hyper(272,a,9267,a(flip),b,9299,a),flip(a)]. 9518 K(x,((x * y) * z) / ((x * y) * (y \ z))) = K(x,y). [hyper(272,a,3883,a(flip),b,9393,a),flip(a)]. 9520 K(x,((x * y) * z) / (x * (y * (y \ z)))) = K(x,y). [hyper(58,a,7656,a(flip),b,9518,a)]. 9521 K(x,((x * y) * z) / (x * z)) = K(x,y). [para(5(a,1),9520(a,1,2,2,2))]. 9522 K(x,R(T(y,x),x,z)) = K(x,y). [hyper(58,a,5808,a(flip),b,9521,a)]. 9524 K(x,R(y,x,z)) = K(x,y). [hyper(5352,a,9522,a)]. 9525 T(x,R(y,x,z)) = x * K(x,y). [hyper(114,a,9524,a(flip),b,2672,a(flip)),flip(a)]. 9526 (K(x,y) * (y * x)) * z = K(x,y) * ((y * x) * z). [para(9524(a,1),7327(a,1,1)),flip(a)]. 9527 T(x,R(y,x,z)) = T(x,y). [hyper(272,a,2674,a,b,9525,a),flip(a)]. 9529 T(x,(y * z) / (x * z)) = T(x,y / x). [para(94(a,1),9527(a,1,2))]. 9530 T(x,(y * z) / (x * z)) = T(x,x \ y). [hyper(272,a,2235,a(flip),b,9529,a),flip(a)]. 9531 T(x,y / (x * z)) = T(x,x \ (y / z)). [para(7(a,1),9530(a,1,2,1))]. 9532 T(R(x,y,z),(u * (y * z)) / ((x * y) * z)) = T(R(x,y,z),R(x,y,z) \ u). [para(93(a,1),9530(a,1,2,2))]. 9533 T(x,y / ((x * z) * u)) = T(x,x \ (y / (z * u))). [hyper(58,a,7658,a,b,9531,a)]. 9534 L(x,y * z,K(z,y)) = x. [hyper(429,a,9526,a)]. 9535 K(x,y) * ((y * x) * z) = (x * y) * z. [para(2561(a,1),9526(a,1,1)),flip(a)]. 9536 L(x,y,z) != u | L(x,T(y,z),z) = u. [para(9534(a,1),6769(a,1))]. 9538 (x * y) \ (K(x,y) * z) = (y * x) \ z. [hyper(518,a,9535,a)]. 9539 (x * y) * ((y * x) \ z) = K(x,y) * z. [hyper(288,a,9535,a),flip(a)]. 9540 (x * y) * (K(y,x) * z) = (y * x) * z. [hyper(58,a,9383,a(flip),b,9535,a)]. 9541 T(x,y) \ ((y * x) * z) = x \ ((x * y) * z). [hyper(112,a,9535,a(flip),b,3946,a),flip(a)]. 9542 (x * y) \ ((y * x) * z) = K(y,x) * z. [hyper(112,a,9535,a(flip),b,9383,a(flip))]. 9544 (x * y) \ (R(y,z,u) * T(x,y)) = (y * x) \ (R(y,z,u) * x). [para(3758(a,1),9538(a,1,2))]. 9545 K(x,y) * ((y * x) * z) != u | (x * y) * z = u. [para(9539(a,1),507(a,1))]. 9546 K(T(x,y),z) * K(y,T(x,z)) = (z * T(x,y)) \ (x * z). [hyper(112,a,3982,a(flip),b,9540,a),flip(a)]. 9548 T(x \ 1,y) \ ((T(x,y) \ y) * z) = (x \ 1) \ (((x \ 1) * y) * z). [para(2935(a,2),9541(a,1,2,1))]. 9549 K(x,T(y,z)) * K(z,T(x,y)) = (y * T(x,z)) \ (x * y). [para(5239(a,1),9546(a,1,1))]. 9550 (x * T(y,z)) \ (y * x) = K(y,x) * K(z,y). [hyper(58,a,5830,a(flip),b,9549,a),flip(a)]. 9551 K(x * y,x * L(y,z,u)) = K(x,L(y,z,u)) * K(y,x). [hyper(8791,a,9550,a)]. 9552 K(x * y,x * L(y,z,u)) = a(u,z,K(y,x)). [hyper(272,a,8241,a(flip),b,9551,a),flip(a)]. 9553 K((x * y) * z,(x * y) * L(z,y,x)) = 1. [hyper(272,a,7158,a(flip),b,9552,a),flip(a)]. 9554 K((x * y) * z,x * (y * z)) = 1. [para(87(a,1),9553(a,1,2))]. 9555 ((x * y) * z) \ (R(z,x,y) * T(x * y,z)) = (z * (x * y)) \ ((z * x) * y). [para(93(a,1),9544(a,2,2))]. 9556 T(x \ 1,y) \ ((T(x,y) \ y) * z) = (y * (z * x)) / x. [hyper(272,a,7048,a(flip),b,9548,a),flip(a)]. 9557 R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = T(R(x,z,u),R(x,z,u) \ y). [hyper(58,a,22,a,b,9532,a)]. 9558 ((x * y) * z) * a(z,x,y) = R(z,x,y) * T(x * y,z). [hyper(114,a,9,a,b,9555,a)]. 9559 ((x * y) * z) * K(y * z,x) = ((y * z) * x) * a(x,y,z). [hyper(272,a,3679,a,b,9558,a)]. 9560 R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = R(T(x,R(x,z,u) \ y),z,u). [hyper(272,a,22,a,b,9557,a),flip(a)]. 9561 R(T(x,x \ ((y * (z * u)) / (z * u))),z,u) = R(T(x,R(x,z,u) \ y),z,u). [para(9533(a,1),9560(a,1,1))]. 9562 R(T(x,R(x,y,z) \ u),y,z) = R(T(x,x \ u),y,z). [para(6(a,1),9561(a,1,1,2,2)),flip(a)]. 9563 R(T(x,x \ y),z,u) = (R(x,z,u) \ y) \ y. [hyper(572,a,9562,a),flip(a)]. 9564 T(x,R(x,y,z) \ u) = T(x,x \ u). [hyper(46,a,9562,a)]. 9565 K(x,R(x,y,z) \ u) = x \ T(x,x \ u). [hyper(112,a,9564,a(flip),b,2674,a(flip)),flip(a)]. 9566 K(x,R(x,y,z) \ u) = K(x,x \ u). [hyper(272,a,2672,a,b,9565,a),flip(a)]. 9567 K(x,x \ (y \ R(x,z,u))) = K(x,y \ 1). [hyper(58,a,5415,a(flip),b,9566,a),flip(a)]. 9569 K(x,y \ R(x,z,u)) = K(x,(x \ y) \ 1). [hyper(58,a,8048,a(flip),b,9567,a)]. 9570 K(x,y \ R(x,z,u)) != w | K(x,y \ x) = w. [para(9569(a,2),4460(a,1))]. 9571 (R(x / y,z,u) \ x) \ x = R(y \ x,z,u). [para(557(a,1),9563(a,1,1)),flip(a)]. 9573 K(x,R(x / y,z,u) \ w) = K(x,R(y \ x,z,u) \ w). [para(9571(a,1),5092(a,1,2,1)),flip(a)]. 9574 R(K(x,R(y \ x,z,u) \ x),w,v5) = K(x,R(R(x / y,z,u),w,v5) \ x). [para(9573(a,1),8134(a,1,1))]. 9575 K(x,R(R(x / y,z,u),w,v5) \ x) = R(R(K(x,y),z,u),w,v5). [para(8135(a,1),9574(a,1,1)),flip(a)]. 9577 T(x,(y \ (z * ((1 / (y \ 1)) \ z))) * u) = T(x,(z * ((y \ z) / y)) * u). [para(4517(a,1),9422(a,2,2,1,2))]. 9578 T(x,(y \ (z * ((1 / (y \ 1)) \ z))) * u) = T(x,(z * (y \ (z / y))) * u). [hyper(272,a,8678,a(flip),b,9577,a),flip(a)]. 9580 T(x,(y \ (z * (y \ z))) * u) = T(x,(z * (y \ (z / y))) * u). [para(72(a,1),9578(a,1,2,1,2,2,1))]. 9582 a(a(x,y,x) * z,u,w) = (z * (u * w)) \ ((z * u) * w). [hyper(58,a,8421,a(flip),b,9497,a),flip(a)]. 9584 a(a(x,y,x) * z,u,w) = a(z,u,w). [hyper(272,a,9,a,b,9582,a),flip(a)]. 9585 a(a(x,y,x) \ z,u,w) = a(z,u,w). [para(5(a,1),9584(a,1,1)),flip(a)]. 9586 a(L(x,y,x),z,u) = a(x,z,u). [para(6614(a,1),9585(a,1,1))]. 9587 a(K(x \ y,x),z,u) = a(K(y,x),z,u). [para(6603(a,1),9585(a,1,1))]. 9588 a(T(x,x * y),z,u) = a(T(x,y),z,u). [para(5394(a,1),9586(a,1,1))]. 9589 a(T(x \ 1,y) \ 1,z,u) = a(T(x,y),z,u). [hyper(58,a,3443,a(flip),b,9588,a)]. 9590 a(T(1 / x,y) \ 1,z,u) = a(T(x,y),z,u). [hyper(58,a,2518,a,b,9589,a)]. 9591 a((x \ y) \ y,z,u) = a(T(x,y),z,u). [para(3447(a,1),9589(a,1,1))]. 9592 x \ ((x * y) * L(z,x,x)) = (y * (z / L(x,u,u))) / (1 / L(x,u,u)). [para(9193(a,1),8642(a,1,2,2))]. 9593 (x * (y / L(z,u,u))) / (1 / L(z,u,u)) = (x * (y / z)) / (1 / z). [hyper(58,a,6484,a(flip),b,9592,a),flip(a)]. 9595 T(x,y * (z \ ((u \ w) * L(v5,u,u)))) = T(x,y * (z \ (((1 / u) * w) * v5))). [para(769(a,1),8709(a,1,2,2,2)),flip(a)]. 9596 x * L(1 / y,(z \ 1) \ 1,(z \ 1) * x) = (x / ((z \ 1) \ 1)) * (1 / (y / z)). [para(8940(a,1),9005(a,1,2))]. 9597 x * L(1 / y,(z \ 1) \ 1,z \ x) = (x / ((z \ 1) \ 1)) * (1 / (y / z)). [para(8989(a,1),9596(a,1,2))]. 9598 (x / ((y \ 1) \ 1)) * (1 / (z / y)) = x * L(1 / z,y,y \ x). [para(2460(a,1),9597(a,1,2)),flip(a)]. 9599 (x / ((y \ 1) \ 1)) * (1 / (z / y)) = (x / y) * (y * (1 / z)). [hyper(272,a,8958,a(flip),b,9598,a),flip(a)]. 9600 ((x * (1 / y)) \ 1) * (1 / (z / x)) = (y / x) * (x * (1 / z)). [para(4132(a,1),9599(a,1,1))]. 9601 ((x / y) * (y * (1 / z))) / ((y \ 1) * (1 / (z / y))) = L(R(x,y \ 1,1 / (z / y)),y,y). [para(9600(a,1),6786(a,2,1)),flip(a)]. 9602 T(x,y * (z * (u / ((w \ 1) * v5)))) = T(x,y * (z * (u / (w \ v5)))). [para(5859(a,1),8870(a,1,2,2,2))]. 9603 T(x,y * (z * (u / (w \ v5)))) = T(x,y * (z * (u * (v5 \ w)))). [hyper(58,a,8903,a(flip),b,9602,a),flip(a)]. 9604 T(x,(1 / y) * (z * (u * (w \ v5)))) = T(x,y \ (z * (u / (v5 \ w)))). [hyper(6105,a,9603,a),flip(a)]. 9605 T(x,T(y,z * (u / (w \ v5))) * (z * (u * (v5 \ w)))) = T(x,(z * (u / (w \ v5))) * y). [hyper(5779,a,9603,a),flip(a)]. 9606 T(x,y * (z * (T(u,w \ v5) * (v5 \ w)))) = T(x,y * (z * ((w \ v5) \ u))). [hyper(58,a,8562,a(flip),b,9603,a),flip(a)]. 9607 T(x,y * ((z \ 1) * (u * (w \ v5)))) = T(x,y * (z \ (u / (v5 \ w)))). [hyper(58,a,8519,a(flip),b,9603,a),flip(a)]. 9608 T(x,y * (T(z,u / (w \ v5)) * (u * (v5 \ w)))) = T(x,y * ((u / (w \ v5)) * z)). [para(2778(a,1),9603(a,1,2,2)),flip(a)]. 9609 T(x,y \ (z * (u / (w \ v5)))) = T(x,y \ (z * (u * (v5 \ w)))). [hyper(6105,a,9604,a),flip(a)]. 9610 T(x,y \ ((1 / z) * (u * (w \ v5)))) = T(x,y \ (z \ (u / (v5 \ w)))). [hyper(58,a,8467,a(flip),b,9609,a),flip(a)]. 9611 T(x,y * (z \ (u / (w \ v5)))) = T(x,y * (z \ (u * (v5 \ w)))). [hyper(58,a,8519,a(flip),b,9607,a),flip(a)]. 9612 T(x,y * (z \ (1 / (u \ w)))) = T(x,y * (z \ (w \ u))). [para(2(a,1),9611(a,2,2,2,2))]. 9613 T(x,y / ((z \ u) * w)) = T(x,y * (w \ (u \ z))). [hyper(58,a,9484,a(flip),b,9612,a)]. 9614 T(x,y * (z \ (u \ 1))) = T(x,y / (u * z)). [para(60(a,1),9613(a,1,2,2,1)),flip(a)]. 9615 T(x,y * (z \ (u \ (u / w)))) = T(x,y / (w * z)). [para(74(a,1),9613(a,1,2,2,1)),flip(a)]. 9616 T(x,y * ((1 / z) / u)) = T(x,y / (u * z)). [hyper(58,a,8524,a,b,9614,a)]. 9617 T(x,T(y,z \ (u \ (u / w))) / (w * z)) = T(x,(z \ (u \ (u / w))) * y). [hyper(5779,a,9615,a),flip(a)]. 9618 T(x,y * (z \ T(1 / u,w))) = T(x,y / (T(u,w) * z)). [para(2254(a,1),9615(a,1,2,2,2))]. 9619 T(x,y \ (z \ (u / (w \ v5)))) = T(x,y \ (z \ (u * (v5 \ w)))). [hyper(58,a,8467,a(flip),b,9610,a),flip(a)]. 9620 T(x,y \ (z \ (u * (w \ 1)))) = T(x,y \ (z \ (u / w))). [para(60(a,1),9619(a,1,2,2,2,2)),flip(a)]. 9621 T(x,y \ (z \ (u / (w \ 1)))) = T(x,y \ (z \ (u * w))). [para(60(a,1),9619(a,2,2,2,2,2))]. 9623 T(x,y \ (z \ (z / u))) = T(x,y \ (u \ 1)). [para(4(a,1),9620(a,1,2,2)),flip(a)]. 9624 T(x,y \ (z \ (u / (1 / w)))) = T(x,y \ (z \ (u * w))). [para(74(a,1),9620(a,1,2,2,2,2)),flip(a)]. 9625 K(x,y \ (z \ (z / u))) = x \ T(x,y \ (u \ 1)). [hyper(112,a,9623,a(flip),b,2674,a(flip)),flip(a)]. 9626 T(x,y \ (T(z,u) \ 1)) = T(x,y \ (z \ K(z,u))). [para(2649(a,2),9623(a,1,2,2,2)),flip(a)]. 9627 K(x,y \ (z \ (z / u))) = K(x,y \ (u \ 1)). [hyper(272,a,2672,a,b,9625,a),flip(a)]. 9628 K(x,y \ L(z,z,u)) = K(x,y \ ((1 / z) \ 1)). [hyper(58,a,5729,a,b,9627,a)]. 9630 K(x,y \ L(z,z,u)) = K(x,y \ z). [para(74(a,1),9628(a,2,2,2))]. 9631 K(x,L(L(y,y,z) \ 1,u,w) \ 1) = K(x,a(L(y,y,z),w,u) \ y). [hyper(58,a,4440,a,b,9630,a)]. 9632 T(x,y \ (z \ (u * (1 / w)))) = T(x,y \ (z \ (u / w))). [para(74(a,1),9621(a,1,2,2,2,2)),flip(a)]. 9633 T(x,y \ (z \ (((u \ 1) * w) \ 1))) = T(x,y \ (z \ ((w \ 1) * u))). [para(4150(a,1),9624(a,1,2,2,2))]. 9634 T(x,y * (z * ((1 / (u \ w)) \ v5))) = T(x,y * (z * ((w \ u) \ v5))). [para(4469(a,1),9606(a,1,2,2,2))]. 9635 T(x,y * (z * ((u \ w) \ v5))) = T(x,y * (z * ((w \ u) * v5))). [hyper(58,a,8683,a(flip),b,9634,a),flip(a)]. 9636 T(x,y * ((z \ 1) * ((u \ w) * v5))) = T(x,y * (z \ ((w \ u) \ v5))). [hyper(58,a,8519,a(flip),b,9635,a),flip(a)]. 9637 T(x,y * (z * (((u * w) \ u) * v5))) = T(x,y * (z * (w \ v5))). [para(4(a,1),9635(a,1,2,2,2,1)),flip(a)]. 9638 T(x,y * ((z \ u) * ((u \ z) * w))) = T(x,y * w). [para(5(a,1),9635(a,1,2,2)),flip(a)]. 9639 T(x,y * (T(z,(u \ w) \ v5) * ((w \ u) * v5))) = T(x,y * (((u \ w) \ v5) * z)). [para(2778(a,1),9635(a,1,2,2)),flip(a)]. 9640 T(x,y * ((z \ u) \ w)) = T(x,y * ((u \ z) * w)). [para(5(a,1),9638(a,1,2,2,2)),flip(a)]. 9641 T(x,y * ((z \ (z / u)) * w)) = T(x,y * (u \ w)). [para(300(a,1),9638(a,1,2,2,2))]. 9642 T(x,y * T(z / u,z)) = T(x,y * (u \ z)). [para(6227(a,1),9638(a,1,2,2))]. 9643 T(x,y * (z / (u \ w))) = T(x,y * (z * (w \ u))). [para(6566(a,1),9638(a,1,2,2))]. 9644 T(x,y * ((z / u) \ w)) = T(x,y * ((u / z) * w)). [para(7299(a,1),9638(a,1,2,2)),flip(a)]. 9645 T(x,y * ((z \ u) \ (w \ 1))) = T(x,y * ((u \ z) / w)). [hyper(272,a,8483,a(flip),b,9640,a),flip(a)]. 9646 T(x,y * ((z \ (u \ 1)) * w)) = T(x,y * ((u * z) \ w)). [hyper(58,a,8579,a(flip),b,9640,a),flip(a)]. 9647 x \ T(x,y * ((z \ u) * w)) = K(x,y * ((u \ z) \ w)). [hyper(112,a,9640,a(flip),b,2674,a(flip))]. 9648 T(x,y * (((z * u) \ z) * w)) = T(x,y * (u \ w)). [para(4(a,1),9640(a,1,2,2,1)),flip(a)]. 9649 T(T(x,y * ((z \ u) * w)),K(v5,y * ((u \ z) \ w))) = T(x,T(y * ((u \ z) \ w),v5)). [para(9640(a,1),5485(a,1,1))]. 9650 T(x,y * (T(1 / z,u) * w)) = T(x,y * (T(z,u) \ w)). [para(2254(a,1),9641(a,1,2,2,1))]. 9651 T(x,y * (z * (u \ (u / w)))) = T(x,y * (z / w)). [para(74(a,1),9643(a,1,2,2,2)),flip(a)]. 9652 T(T(x,K(y,(z / u) \ w)),y * ((u / z) * w)) = T(x,((z / u) \ w) * y). [hyper(6146,a,9644,a),flip(a)]. 9653 T(x,(1 / y) * ((z / u) * w)) = T(x,y \ ((u / z) \ w)). [hyper(6105,a,9644,a),flip(a)]. 9654 x \ T(x,y * ((z / u) * w)) = K(x,y * ((u / z) \ w)). [hyper(112,a,9644,a(flip),b,2674,a(flip))]. 9655 T(x,y * (z * (u / (w * u)))) = T(x,y * (z / w)). [para(3305(a,2),9651(a,1,2,2,2))]. 9656 T(x,y * (z / (u / w))) = T(x,y * (z * (w / u))). [para(7(a,1),9655(a,1,2,2,2,2)),flip(a)]. 9657 T(x,(1 / y) * (z * (u / w))) = T(x,y \ (z / (w / u))). [hyper(6105,a,9656,a),flip(a)]. 9658 T(x,T(y,z / (u / w)) * (z * (w / u))) = T(x,(z / (u / w)) * y). [hyper(5779,a,9656,a),flip(a)]. 9659 T(x,y * ((z \ 1) * (u / w))) = T(x,y / ((w / u) * z)). [hyper(58,a,9483,a(flip),b,9656,a),flip(a)]. 9660 T(x,y * (z * ((1 / u) / w))) = T(x,y * (z / (w * u))). [hyper(58,a,8839,a(flip),b,9656,a),flip(a)]. 9661 T(x,y * ((z \ (u \ 1)) / w)) = T(x,y * ((u * z) \ (w \ 1))). [hyper(58,a,8579,a(flip),b,9645,a),flip(a)]. 9662 T(x,K(y,(z * u) \ w) * ((z * u) \ w)) = T(x,T((u \ (z \ 1)) * w,y)). [para(8604(a,1),9646(a,1,2)),flip(a)]. 9663 K(x,y * ((z \ u) \ w)) = K(x,y * ((u \ z) * w)). [hyper(2691,a,9647,a),flip(a)]. 9664 K(x,y * ((z \ u) \ w)) != v5 | K(x,y * ((u \ z) * w)) = v5. [para(9647(a,1),2691(a,1))]. 9665 K(x,y * ((z \ 1) * u)) = K(x,y * (z \ u)). [para(60(a,1),9663(a,1,2,2,1)),flip(a)]. 9666 K(x,y * (z \ (1 / u))) = K(x,y / (u * z)). [hyper(58,a,9490,a(flip),b,9665,a),flip(a)]. 9668 K(x,y / ((z \ 1) * u)) = K(x,y * (u \ z)). [para(72(a,1),9666(a,1,2,2,2)),flip(a)]. 9669 K(x,y / ((1 / z) * u)) = K(x,y * (u \ z)). [hyper(58,a,2430,a,b,9668,a)]. 9670 T(x,y \ ((z / u) \ w)) = T(x,y \ ((u / z) * w)). [hyper(6105,a,9653,a),flip(a)]. 9671 x \ T(x,y \ ((z / u) * w)) = K(x,y \ ((u / z) \ w)). [hyper(112,a,9670,a(flip),b,2674,a(flip))]. 9672 T(x,y \ ((z / (u * z)) * w)) = T(x,y \ (u \ w)). [para(6(a,1),9670(a,1,2,2,1)),flip(a)]. 9673 T(x,y \ ((z \ 1) * u)) = T(x,y \ (z \ u)). [para(153(a,1),9672(a,1,2,2,1))]. 9674 T(x,y \ ((z \ (z / u)) * w)) = T(x,y \ (u \ w)). [para(3305(a,1),9672(a,1,2,2,1))]. 9675 T(x,y \ ((z \ 1) * T(u,z))) = T(x,y \ (u / z)). [hyper(272,a,8468,a(flip),b,9673,a),flip(a)]. 9676 T(x,y \ ((z \ 1) / u)) = T(x,y \ (z \ (u \ 1))). [hyper(58,a,8469,a(flip),b,9673,a)]. 9677 T(x,y \ ((z * u) \ (u \ 1))) = T(x,y \ (u \ (z \ (1 / u)))). [para(4627(a,1),9673(a,1,2,2)),flip(a)]. 9678 T(x,y \ ((z \ u) \ w)) = T(x,y \ ((u \ z) * w)). [para(72(a,1),9674(a,1,2,2,1,2)),flip(a)]. 9679 T(x,y \ ((z \ 1) / u)) = T(x,y \ ((u * z) \ 1)). [para(4156(a,1),9675(a,1,2,2)),flip(a)]. 9680 x \ T(x,y \ ((z \ u) * w)) = K(x,y \ ((u \ z) \ w)). [hyper(112,a,9678,a(flip),b,2674,a(flip))]. 9681 T(x,y \ ((z * u) \ 1)) = T(x,y \ (u \ (z \ 1))). [hyper(58,a,9676,a(flip),b,9679,a),flip(a)]. 9682 K(x,y) * T(T(x,y),z \ (u \ (w \ 1))) = T(x,T(z \ ((w * u) \ 1),y)). [para(9681(a,1),5429(a,1,2))]. 9683 K(x,y * ((z / u) \ w)) = K(x,y * ((u / z) * w)). [hyper(2691,a,9654,a),flip(a)]. 9684 L(K(x,y * ((z / u) * w)),v5,v6) = K(x,L(y * ((u / z) \ w),v5,v6)). [para(9683(a,1),8229(a,1,1))]. 9685 T(x,y \ (z / (u / w))) = T(x,y \ (z * (w / u))). [hyper(6105,a,9657,a),flip(a)]. 9687 T(x,y / ((z / u) * w)) = T(x,y * (w \ (u / z))). [hyper(58,a,8519,a(flip),b,9659,a),flip(a)]. 9688 T(x,y * (z \ (z / u))) = T(x,y / u). [para(7(a,1),9687(a,1,2,2)),flip(a)]. 9689 T(x,y * ((z * u) \ z)) = T(x,y / u). [para(6(a,1),9688(a,1,2,2,2))]. 9690 T(x,y / (z \ u)) = T(x,y * (u \ z)). [para(72(a,1),9688(a,1,2,2,2)),flip(a)]. 9691 T(x,y * T(1 / z,u)) = T(x,y / T(z,u)). [para(2254(a,1),9688(a,1,2,2))]. 9692 T(x,T(y * (z \ (z / u)),w)) = K(x,w) * T(T(x,w),y / u). [para(9688(a,1),5429(a,1,2)),flip(a)]. 9693 T(x,y / (z / u)) = T(x,y * (u / z)). [para(3309(a,1),9689(a,1,2,2)),flip(a)]. 9694 T(x,y * ((z * (u * z)) \ u)) = T(x,y / (z * T(z,u))). [para(5011(a,1),9689(a,1,2,2,1))]. 9695 T(x,y * (L(z,z,u) \ 1)) = T(x,y / z). [para(5080(a,2),9689(a,1,2,2))]. 9696 T(x,L(y \ z,u,w) * (z \ y)) = T(x,a((y \ z) \ 1,w,u)). [para(2510(a,2),9690(a,1,2)),flip(a)]. 9697 T(x \ y,z * (x \ y)) \ (z * ((y \ x) \ 1)) = (x \ y) \ ((y \ x) \ z). [para(9690(a,1),7208(a,1,1))]. 9698 T(x,y / L(z,z,u)) = T(x,y / z). [hyper(6059,a,9695,a)]. 9699 T(x,y / ((z \ u) \ u)) = T(x,y / T(z,u)). [hyper(6107,a,9691,a)]. 9700 T(x,y / T(z * u,u \ 1)) = T(x,y / T(z * u,z)). [para(4476(a,2),9699(a,1,2,2))]. 9701 T(x,y * (z * (u \ (1 / w)))) = T(x,y * (z / (w * u))). [hyper(58,a,8696,a(flip),b,9660,a)]. 9702 T(x,y * (z * (u \ (w \ 1)))) = T(x,y * (z / (w * u))). [hyper(58,a,8651,a(flip),b,9660,a)]. 9703 K(x,y \ ((z / u) \ w)) = K(x,y \ ((u / z) * w)). [hyper(2691,a,9671,a),flip(a)]. 9705 K(x,y \ ((z \ u) \ w)) = K(x,y \ ((u \ z) * w)). [hyper(2691,a,9680,a),flip(a)]. 9706 K(x,y \ ((z \ 1) \ u)) = K(x,y \ (z * u)). [para(60(a,1),9705(a,2,2,2,1))]. 9707 K(x,y \ (((z / u) / z) * w)) = K(x,y \ (T(u,z) \ w)). [para(2909(a,2),9706(a,1,2,2,1)),flip(a)]. 9708 T(x,y / T(z * u,u \ 1)) = T(x,y / (u * z)). [hyper(272,a,8490,a(flip),b,9700,a),flip(a)]. 9709 T(x,y / T(z,u \ 1)) = T(x,y / (u * (z / u))). [para(7(a,1),9708(a,1,2,2,1))]. 9710 T(x,y / (z * (u / z))) = T(x,y / T(u,z)). [hyper(58,a,9475,a(flip),b,9709,a),flip(a)]. 9711 T(x,y * ((1 / z) / (u * w))) = T(x,y * (z \ (w \ (1 / u)))). [hyper(58,a,8480,a(flip),b,9701,a),flip(a)]. 9712 T(x,y * (z * ((u \ 1) / w))) = T(x,y * (z / (w * u))). [hyper(58,a,8689,a,b,9702,a)]. 9713 T(x,y * (z / (((u \ (w \ 1)) \ 1) * v5))) = T(x,y * (z * (v5 \ ((1 / u) / w)))). [para(4894(a,1),9702(a,1,2,2,2,2)),flip(a)]. 9714 T(x,y * (z * (((1 / u) * ((u * w) * v5)) \ (u \ 1)))) = T(x,y * (z / (((1 / u) \ w) * L(v5,u,u)))). [para(6867(a,1),9702(a,2,2,2,2))]. 9715 T(x,y * (z * (L(u,w,w) \ (((1 / w) \ v5) \ 1)))) = T(x,y * (z / (w * ((1 / w) * ((w * v5) * u))))). [para(6867(a,2),9702(a,2,2,2,2))]. 9716 T(x,y * (z / ((u \ (w \ 1)) \ v5))) = T(x,y * (z / ((w * u) * v5))). [hyper(58,a,9163,a,b,9712,a)]. 9717 T(x,y * (z \ (u \ ((1 / z) * w)))) = T(x,y * (T(w,u) / (z * (u * z)))). [hyper(58,a,9498,a(flip),b,9712,a)]. 9718 T(x,y * (z * (((u * w) \ u) / v5))) = T(x,y * (z * (w \ (1 / v5)))). [hyper(58,a,8691,a(flip),b,9637,a)]. 9719 T(x,y * (z * (((u * w) \ u) * (v5 / v6)))) = T(x,y * (z * (w \ (v5 * (v6 \ 1))))). [hyper(58,a,8686,a(flip),b,9637,a)]. 9720 T(x,y * ((z \ (u \ 1)) / w)) = T(x,y / (w * (u * z))). [hyper(272,a,9614,a(flip),b,9661,a),flip(a)]. 9721 T(x,y * ((z \ (((z \ 1) \ u) \ 1)) / w)) = T(x,y / (w * ((z * u) * z))). [hyper(58,a,9504,a,b,9720,a)]. 9722 T(x,y * (((z \ 1) / u) / w)) = T(x,y / (w * (u * z))). [hyper(58,a,8849,a,b,9720,a)]. 9723 T(x,y / (T(z,u \ (w \ 1)) * (w * u))) = T(x,y * (z \ (u \ (w \ 1)))). [hyper(58,a,8514,a(flip),b,9720,a),flip(a)]. 9724 T(x,y * ((z \ (1 / u)) / w)) = T(x,y / (w * (u * z))). [hyper(58,a,9177,a(flip),b,9722,a)]. 9725 T(x,y * ((z \ (u \ (z \ 1))) / w)) = T(x,y / (w * (z * (u * z)))). [hyper(58,a,8853,a(flip),b,9722,a)]. 9726 T(x,y / (z * (u * (1 / w)))) = T(x,y * ((w / u) / z)). [para(74(a,1),9722(a,1,2,2,1,1)),flip(a)]. 9727 T(x,y * ((z / (z / u)) / w)) = T(x,y * ((z * (u / z)) / w)). [hyper(58,a,9487,a(flip),b,9726,a),flip(a)]. 9728 T(x,T(y * (z \ (z / u)),w)) != v5 | T(x,T(y / u,w)) = v5. [para(9692(a,2),5431(a,1))]. 9729 T(x,T(y * (z \ 1),u)) != w | T(x,T(y / z,u)) = w. [para(69(a,1),9728(a,1,2,1,2,2))]. 9730 T(x,T(K(y,z \ 1) * ((y * z) / u),w)) != v5 | T(x,T(T(y * z,z) / u,w)) = v5. [para(9166(a,2),9729(a,1))]. 9731 T(x,y * (z \ (u \ (1 / w)))) = T(x,y / ((w * u) * z)). [hyper(58,a,9616,a(flip),b,9711,a),flip(a)]. 9732 T(x,(1 / y) / ((z * u) * w)) = T(x,y \ (w \ (u \ (1 / z)))). [hyper(6105,a,9731,a),flip(a)]. 9733 T(x,y * (z \ (u \ ((w / (1 / v5)) \ 1)))) = T(x,y / ((((w \ 1) \ v5) * u) * z)). [para(4201(a,1),9731(a,1,2,2,2,2))]. 9734 T(x,y * (((z \ u) \ u) / w)) = T(x,y * ((u * (z / u)) / w)). [para(2898(a,1),9727(a,1,2,2,1))]. 9735 T(x,y \ (((z * u) * w) \ 1)) = T(x,y \ (w \ (u \ (1 / z)))). [hyper(6047,a,9732,a)]. 9736 T(x,y * (((z \ u) \ u) / w)) = T(x,y * (T(z,u) / w)). [hyper(272,a,8861,a(flip),b,9734,a),flip(a)]. 9737 T(x,y * (T(z,z \ u) / w)) = T(x,y * (T(z,u) / w)). [para(99(a,2),9736(a,1,2,2,1))]. 9738 T(x,y \ (z \ ((u * w) \ 1))) = T(x,y \ (z \ (w \ (1 / u)))). [hyper(58,a,9681,a(flip),b,9735,a)]. 9739 T(x,y \ (z \ (((u \ 1) * w) \ 1))) = T(x,y \ (z \ (w \ u))). [para(72(a,1),9738(a,2,2,2,2,2))]. 9740 T(x,y \ (z \ ((u \ 1) * w))) = T(x,y \ (z \ (u \ w))). [hyper(58,a,9633,a(flip),b,9739,a)]. 9741 T(x,y \ (z \ ((u \ 1) / w))) = T(x,y \ (z \ (u \ (w \ 1)))). [para(4172(a,1),9739(a,1,2,2,2))]. 9742 T(x,y \ (z \ ((u \ 1) * (1 / w)))) = T(x,y \ (z \ (u \ (w \ 1)))). [hyper(58,a,9632,a,b,9741,a)]. 9743 T(x,y * (z \ ((u \ w) \ v5))) = T(x,y * (z \ ((w \ u) * v5))). [hyper(58,a,8519,a(flip),b,9636,a),flip(a)]. 9744 T(x,(1 / y) * (z \ ((u \ w) * v5))) = T(x,y \ (z \ ((w \ u) \ v5))). [hyper(6105,a,9743,a),flip(a)]. 9745 T(x,y * (z \ ((u \ 1) * w))) = T(x,y * (z \ (u \ w))). [para(60(a,1),9743(a,1,2,2,2,1)),flip(a)]. 9746 T(x,y * (z \ ((u \ w) \ (T(v5,w \ u) \ 1)))) = T(x,y * (z \ (v5 \ (w \ u)))). [para(3006(a,1),9743(a,2,2,2,2))]. 9747 T(x,y * (z \ ((u \ (u * (u / w))) * v5))) = T(x,y * (z \ ((w / u) \ v5))). [para(3309(a,1),9743(a,1,2,2,2,1)),flip(a)]. 9748 T(x,y * (z \ ((u \ 1) / w))) = T(x,y * (z \ (u \ (1 / w)))). [hyper(58,a,8722,a(flip),b,9745,a)]. 9749 T(x,y * (z \ ((u \ 1) / w))) = T(x,y / ((w * u) * z)). [hyper(272,a,9731,a(flip),b,9748,a),flip(a)]. 9750 T(x,T(y,z * (u / w)) * (z * (u / w))) = T(x,(z / (w / u)) * y). [para(9693(a,1),9658(a,1,2,1))]. 9751 K(x,L(y * ((z / u) \ w),v5,v6)) = K(x,L(y * ((u / z) * w),v5,v6)). [hyper(58,a,8229,a(flip),b,9684,a),flip(a)]. 9752 T(x,y * (z * (u \ (w \ (v5 \ 1))))) = T(x,y * (z / ((v5 * w) * u))). [hyper(58,a,9643,a(flip),b,9716,a)]. 9753 T(x,y * (z * (((u * w) \ u) / v5))) = T(x,y * (z / (v5 * w))). [hyper(272,a,9701,a(flip),b,9718,a),flip(a)]. 9754 T(x,y * (z / (u * (w \ v5)))) = T(x,y * (z * ((v5 \ w) / u))). [para(5(a,1),9753(a,1,2,2,2,1,1)),flip(a)]. 9755 T(x,y * (z / (u * (w / v5)))) = T(x,y * (z * ((v5 / w) / u))). [para(3309(a,1),9753(a,1,2,2,2,1)),flip(a)]. 9756 T(x,y * (z / (T(u,w \ v5) * (v5 \ w)))) = T(x,y * (z * (u \ (w \ v5)))). [hyper(272,a,8649,a(flip),b,9754,a),flip(a)]. 9757 T(x,y * ((z \ 1) * ((z / u) / L(w,z,z)))) = T(x,y / (z \ ((z * w) * u))). [hyper(58,a,9486,a(flip),b,9755,a),flip(a)]. 9758 T(x,y / (z * (u * (z * u)))) != w | T(x,(z * u) \ ((z * u) \ y)) = w. [para(9725(a,1),9180(a,1))]. 9759 T(x,y \ (z \ (u \ (1 / w)))) = T(x,y \ (z \ (u \ (w \ 1)))). [hyper(58,a,9740,a(flip),b,9742,a)]. 9760 T(x,y \ ((z * u) \ (u \ 1))) = T(x,y \ (u \ (z \ (u \ 1)))). [hyper(58,a,9677,a,b,9759,a)]. 9761 T(x,y \ (z \ ((u \ w) \ v5))) = T(x,y \ (z \ ((w \ u) * v5))). [hyper(6105,a,9744,a),flip(a)]. 9763 T(x,(y / (z / u)) * w) = T(x,(y * (u / z)) * w). [hyper(5779,a,9750,a),flip(a)]. 9764 T(x,(y * (z / T(u,z))) * w) = T(x,(y / (z \ u)) * w). [hyper(58,a,8825,a(flip),b,9763,a),flip(a)]. 9765 T(x,(y / (z \ u)) * w) = T(x,(y * (u \ z)) * w). [hyper(58,a,8679,a(flip),b,9764,a),flip(a)]. 9766 T(x,(T(y,z \ u) * (u \ z)) * w) = T(x,((1 / (z \ u)) * y) * w). [hyper(6176,a,9765,a),flip(a)]. 9767 x \ T(x,(y * (z \ u)) * w) = K(x,(y / (u \ z)) * w). [hyper(112,a,9765,a(flip),b,2674,a(flip))]. 9768 T(x,(y * (z \ T(1 / u,z))) * w) = T(x,(y / (z * u)) * w). [para(2996(a,1),9765(a,1,2,1,2)),flip(a)]. 9769 T(x,y) \ T(T(x,(z * (u \ w)) * v5),y) = K(x,T((z / (w \ u)) * v5,y)). [para(9765(a,1),5262(a,1,2,1))]. 9770 T(T(x,(y * (z \ u)) * w),K(v5,(y / (u \ z)) * w)) = T(x,T((y / (u \ z)) * w,v5)). [para(9765(a,1),5485(a,1,1))]. 9771 K(x,(y / (z \ u)) * w) = K(x,(y * (u \ z)) * w). [hyper(2691,a,9767,a),flip(a)]. 9772 T(x,(y * ((1 / z) / u)) * w) = T(x,(y / (u * z)) * w). [hyper(58,a,8674,a(flip),b,9768,a)]. 9773 T(x,(y * (z \ (u \ 1))) * w) = T(x,(y / (u * z)) * w). [hyper(58,a,8680,a(flip),b,9772,a)]. 9774 K(x,L(y * ((z / u) \ 1),w,v5)) = K(x,L(y * (u / z),w,v5)). [para(3(a,1),9751(a,2,2,1,2))]. 9775 K(x,L(y * ((T(z,u) / 1) \ u),w,v5)) = K(x,L(y * (u / z),w,v5)). [para(2793(a,1),9751(a,2,2,1,2))]. 9776 K(x,L(y / (z / u),w,v5)) = K(x,L(y * (u / z),w,v5)). [hyper(58,a,8267,a(flip),b,9774,a)]. 9777 T(x,y * ((z \ 1) / ((u * w) * v5))) = T(x,y * (z \ (v5 \ (w \ (u \ 1))))). [hyper(58,a,8519,a(flip),b,9752,a),flip(a)]. 9778 T(x,(T(1 / y,z \ u) * (u \ z)) * w) = T(x,((1 / (z \ u)) / y) * w). [hyper(272,a,8564,a(flip),b,9766,a),flip(a)]. 9779 K(x,L(y * (T(z,u) \ u),w,v5)) = K(x,L(y * (u / z),w,v5)). [para(70(a,1),9775(a,1,2,1,2,1))]. 9780 K(x,L(y * (z * (u \ 1)),w,v5)) = K(x,L(y * (z / u),w,v5)). [para(2935(a,1),9779(a,1,2,1,2))]. 9781 T(x,T(y,z \ (u \ 1)) / (u * z)) = T(x,(z \ (w \ (w / u))) * y). [para(9623(a,1),9617(a,1,2,1))]. 9782 T(x,(((y * z) \ 1) \ 1) \ u) = T(x,(z \ (w \ (w / y))) * u). [para(6099(a,1),9781(a,1,2))]. 9784 T(x,(y \ (z \ (z / u))) * w) = T(x,(u * y) \ w). [hyper(6116,a,9782,a),flip(a)]. 9785 T(x,(y \ (1 / z)) * u) = T(x,(z * y) \ u). [para(60(a,1),9784(a,1,2,1,2))]. 9786 T(x,((y \ z) * u) \ w) = T(x,(u \ (z \ y)) * w). [para(72(a,1),9784(a,1,2,1,2,2)),flip(a)]. 9787 T(x,((y \ z) * u) \ (K(w,(u \ (z \ y)) \ 1) * v5)) = T(x,T(u \ (z \ y),(u \ (z \ y)) * w) * v5). [para(3409(a,1),9786(a,2,2))]. 9788 T(T(x,K(y,(z / u) * w)),y * ((z / u) * w)) = T(x,((u / z) \ w) * y). [para(8606(a,1),9652(a,1,1,2))]. 9789 T(x,T((y \ (z \ 1)) * u,w)) = T(x,T((z * y) \ u,w)). [para(2692(a,2),9662(a,1,2)),flip(a)]. 9790 T(x,T((y * z) \ 1,u)) = T(x,T(z \ (y \ 1),u)). [para(3(a,1),9789(a,1,2,1)),flip(a)]. 9791 T(x,T(((1 / y) * z) \ u,w)) = T(x,T((z \ y) * u,w)). [para(74(a,1),9789(a,1,2,1,1,2)),flip(a)]. 9792 T(x,T((y * z) \ (((z \ (y \ 1)) * u) \ (1 / (z \ (y \ 1)))),w)) = T(x,T((u / (1 / (z \ (y \ 1)))) \ 1,w)). [para(4867(a,1),9789(a,1,2,1)),flip(a)]. 9793 T(x,T(y \ (z \ 1),u)) = T(x,T(z * y,u) \ 1). [hyper(58,a,4491,a(flip),b,9790,a),flip(a)]. 9794 T(x,T((y \ 1) / z,u)) = T(x,T(z * y,u) \ 1). [hyper(58,a,6510,a,b,9793,a)]. 9795 T(x,T(y \ ((z * u) \ 1),w)) = T(x,T(y \ (u \ (z \ 1)),w)). [hyper(5431,a,9682,a),flip(a)]. 9796 T(x,T(y \ (z \ (u \ 1)),w)) = T(x,T((u * z) * y,w) \ 1). [hyper(58,a,9793,a(flip),b,9795,a),flip(a)]. 9797 K(x,y \ z) * ((z \ y) \ (x * ((y \ z) \ 1))) = (z \ y) \ ((y \ z) \ x). [hyper(58,a,4576,a(flip),b,9697,a)]. 9798 T(x,y * ((z \ ((u \ 1) * (1 / z))) / w)) = T(x,y / (w * ((z * u) * z))). [para(4104(a,1),9721(a,1,2,2,1,2))]. 9799 T(x,y / ((1 / (z * u)) \ w)) = T(x,y * (w \ (u \ (z \ 1)))). [para(6100(a,1),9723(a,1,2,2))]. 9800 T(x,y * (z \ (1 / (u * w)))) = T(x,y * (z \ (w \ (u \ 1)))). [hyper(58,a,9690,a(flip),b,9799,a)]. 9801 T(x,y * (z \ (u \ (w \ 1)))) = T(x,y / ((w * u) * z)). [hyper(58,a,9484,a(flip),b,9800,a),flip(a)]. 9802 T(x,y * (z \ ((1 / u) / w))) = T(x,y / ((w * u) * z)). [hyper(58,a,8712,a,b,9801,a)]. 9804 T(x,y * (z \ ((u / w) \ v5))) = T(x,y * (z \ ((w / u) * v5))). [para(4(a,1),9747(a,1,2,2,2,1)),flip(a)]. 9805 T(x,T(y,z \ ((u / w) \ v5)) * (z \ ((w / u) * v5))) = T(x,(z \ ((u / w) \ v5)) * y). [hyper(5779,a,9804,a),flip(a)]. 9806 T(x,y * (T(z,(u / w) \ v5) \ ((w / u) * v5))) = T(x,y * (((u / w) \ v5) / z)). [hyper(58,a,8515,a(flip),b,9804,a),flip(a)]. 9808 T(x,y * (z \ ((u / w) \ (T(v5,w / u) \ 1)))) = T(x,y * (z \ (v5 \ (w / u)))). [para(3006(a,1),9804(a,2,2,2,2))]. 9809 T(x,y * (z / ((1 / (u \ w)) \ v5))) = T(x,y * (z * (v5 \ (w \ u)))). [para(4469(a,1),9756(a,1,2,2,2))]. 9810 T(x,y * (z * (u \ (1 / (w \ v5))))) = T(x,y * (z * (u \ (v5 \ w)))). [hyper(58,a,9643,a(flip),b,9809,a)]. 9811 T(x,y * (z / ((u \ w) * v5))) = T(x,y * (z * (v5 \ (w \ u)))). [hyper(58,a,9701,a(flip),b,9810,a)]. 9812 K(x,T((y / (z \ u)) * w,v5)) != v6 | K(x,T((y * (u \ z)) * w,v5)) = v6. [para(9769(a,1),5355(a,1))]. 9813 T(x,y * (z \ (u \ (w \ (v5 \ 1))))) = T(x,y / (((v5 * w) * u) * z)). [hyper(58,a,9483,a(flip),b,9777,a),flip(a)]. 9814 T(x,(T(1 / y,z \ u) * (u \ z)) * w) = T(x,(y * (z \ u)) \ w). [hyper(272,a,8600,a(flip),b,9778,a),flip(a)]. 9815 T(x,((1 / (y \ z)) \ (1 / u)) * w) = T(x,(u * (z \ y)) \ w). [para(4469(a,1),9814(a,1,2,1))]. 9816 T(x,(y * (1 / (z \ u))) \ w) = T(x,(y * (u \ z)) \ w). [hyper(58,a,9785,a(flip),b,9815,a)]. 9817 T(x,(y * (z \ u)) \ w) = T(x,((u \ z) / y) * w). [hyper(58,a,8584,a(flip),b,9816,a),flip(a)]. 9818 T(x,y) \ T(T(x,((z \ u) / w) * v5),y) = K(x,T((w * (u \ z)) \ v5,y)). [para(9817(a,1),5262(a,1,2,1))]. 9819 T(x,((y / z) \ u) * w) = T(x,((z / y) * u) * w). [hyper(6146,a,9788,a),flip(a)]. 9820 x \ T(x,((y / z) * u) * w) = K(x,((z / y) \ u) * w). [hyper(112,a,9819,a(flip),b,2674,a(flip))]. 9821 T(x,(((y \ z) / z) * u) * w) = T(x,(y \ u) * w). [para(72(a,1),9819(a,1,2,1,1)),flip(a)]. 9822 T(T(x,((y / z) * u) * w),K(v5,((z / y) \ u) * w)) = T(x,T(((z / y) \ u) * w,v5)). [para(9819(a,1),5485(a,1,1))]. 9823 T(x,(((y * z) \ y) * u) * w) = T(x,(z \ u) * w). [para(3308(a,1),9821(a,1,2,1,1))]. 9824 T(x,((y \ z) \ u) * w) = T(x,((z \ y) * u) * w). [para(5(a,1),9823(a,1,2,1,1,1)),flip(a)]. 9825 K(x,((y / z) \ u) * w) = K(x,((z / y) * u) * w). [hyper(2691,a,9820,a),flip(a)]. 9826 T(x,y * (((z \ (u \ 1)) / z) / w)) = T(x,y / (w * ((z * u) * z))). [para(3530(a,1),9798(a,1,2,2,1))]. 9827 T(x,y * (((z * u) \ (1 / u)) / w)) = T(x,y / (w * ((u * z) * u))). [para(4858(a,1),9826(a,1,2,2,1))]. 9828 T(x,y / (z * ((u * w) * u))) = T(x,y / (z * (u * (w * u)))). [hyper(58,a,9724,a(flip),b,9827,a),flip(a)]. 9829 K(x,T((y * (z \ u)) \ w,v5)) != v6 | K(x,T(((u \ z) / y) * w,v5)) = v6. [para(9818(a,1),5355(a,1))]. 9830 T(x,y * ((z \ 1) * ((z / u) / w))) = T(x,y / (z \ ((z * w) * u))). [hyper(58,a,8739,a(flip),b,9757,a)]. 9832 T(x,y / (z \ ((z * u) * w))) = T(x,y * (z \ ((z / w) / u))). [hyper(58,a,8519,a(flip),b,9830,a),flip(a)]. 9833 T(x,y * (((z * u) * w) \ z)) = T(x,y * (z \ ((z / w) / u))). [hyper(58,a,9690,a(flip),b,9832,a)]. 9834 T(x,y * (T(z,u * (w \ v5)) * (u * (w \ v5)))) = T(x,y * ((u / (v5 \ w)) * z)). [para(9690(a,1),9608(a,1,2,2,1))]. 9835 T(x,y * (T(z,(u \ w) * v5) * ((u \ w) * v5))) = T(x,y * (((w \ u) \ v5) * z)). [para(8614(a,1),9639(a,1,2,2,1))]. 9836 T(x,y * (z * (u \ (1 \ (w \ (v5 \ 1)))))) = T(x,y * (z * (u \ ((1 / w) / v5)))). [hyper(58,a,9811,a(flip),b,9713,a)]. 9837 T(x,y * (z * (u \ (w * (v5 \ 1))))) = T(x,y * (z * (u \ (w / v5)))). [hyper(58,a,9637,a(flip),b,9719,a),flip(a)]. 9838 T(x,K(y,z * (u \ (w * (v5 \ 1)))) * (z * (u \ (w / v5)))) = T(x,T(z * (u \ (w * (v5 \ 1))),y)). [para(2692(a,2),9837(a,1,2)),flip(a)]. 9839 T(x,y / (((z / (1 / u)) * w) * v5)) = T(x,y / ((((z \ 1) \ u) * w) * v5)). [hyper(58,a,9801,a(flip),b,9733,a)]. 9840 T(x,y / ((T(z,u \ w) * (w \ u)) * v5)) = T(x,y * (v5 \ (z \ (u \ w)))). [hyper(58,a,9801,a(flip),b,9746,a)]. 9841 T(x,y / (((1 / (z \ u)) \ w) * v5)) = T(x,y * (v5 \ (w \ (u \ z)))). [para(4469(a,1),9840(a,1,2,2,1))]. 9842 T(x,y * (z \ (u \ (1 / (w \ v5))))) = T(x,y * (z \ (u \ (v5 \ w)))). [hyper(58,a,9613,a(flip),b,9841,a)]. 9843 T(x,y / (((z \ u) * w) * v5)) = T(x,y * (v5 \ (w \ (u \ z)))). [hyper(58,a,9731,a(flip),b,9842,a)]. 9844 T(x,y * (T(z,(u / w) * v5) \ ((u / w) * v5))) = T(x,y * (((w / u) \ v5) / z)). [para(8620(a,1),9806(a,1,2,2,1))]. 9845 T(x,y / ((T(z,u / w) * (w / u)) * v5)) = T(x,y * (v5 \ (z \ (u / w)))). [hyper(58,a,9801,a(flip),b,9808,a)]. 9846 T(x,y / (((1 / (z / u)) \ w) * v5)) = T(x,y * (v5 \ (w \ (u / z)))). [para(4481(a,1),9845(a,1,2,2,1))]. 9847 T(x,y * (z \ (u \ (1 / (w / v5))))) = T(x,y * (z \ (u \ (v5 / w)))). [hyper(58,a,9613,a(flip),b,9846,a)]. 9848 T(x,y / (((z / u) * w) * v5)) = T(x,y * (v5 \ (w \ (u / z)))). [hyper(58,a,9731,a(flip),b,9847,a)]. 9849 T(x,y / ((((z \ 1) \ u) * w) * v5)) = T(x,y * (v5 \ (w \ ((1 / u) / z)))). [hyper(58,a,9839,a(flip),b,9848,a)]. 9850 T(x,y * (z \ (u \ ((1 / w) / v5)))) = T(x,y * (z \ (u \ (w \ (v5 \ 1))))). [hyper(58,a,9843,a(flip),b,9849,a),flip(a)]. 9851 T(x,y * (z \ (u \ ((1 / w) / v5)))) = T(x,y / (((v5 * w) * u) * z)). [hyper(272,a,9813,a(flip),b,9850,a),flip(a)]. 9852 T(x,y * ((z / (u \ w)) * v5)) = T(x,y * ((z * (w \ u)) * v5)). [para(2778(a,1),9834(a,1,2,2)),flip(a)]. 9853 T(x,y * ((z * (1 \ L(u,w,w))) * v5)) = T(x,y * ((z * u) * v5)). [hyper(58,a,9461,a(flip),b,9852,a),flip(a)]. 9854 T(x,y * ((z * L(u,w,w)) * v5)) = T(x,y * ((z * u) * v5)). [para(60(a,1),9853(a,1,2,2,1,2))]. 9855 T(x,y * ((z * u) * (T(w,z * L(u,v5,v5)) \ 1))) = T(x,y * (w \ (z * L(u,v5,v5)))). [para(3006(a,1),9854(a,1,2,2)),flip(a)]. 9856 T(x,y * (((z \ u) \ w) * v5)) = T(x,y * (((u \ z) * w) * v5)). [para(2778(a,1),9835(a,1,2,2)),flip(a)]. 9857 T(x,T(y,((z \ u) \ w) * v5) * (((u \ z) * w) * v5)) = T(x,(((z \ u) \ w) * v5) * y). [hyper(5779,a,9856,a),flip(a)]. 9858 T(x,y * (((z \ u) * (w \ 1)) * v5)) = T(x,y * ((w * (u \ z)) \ v5)). [hyper(58,a,9646,a(flip),b,9856,a),flip(a)]. 9859 T(x,y * ((z * (u \ w)) \ v5)) = T(x,y * (((w \ u) / z) * v5)). [hyper(58,a,8576,a(flip),b,9858,a),flip(a)]. 9860 T(x,(1 / y) * (((z \ u) / w) * v5)) = T(x,y \ ((w * (u \ z)) \ v5)). [hyper(6105,a,9859,a),flip(a)]. 9861 T(x,y \ ((z * (u \ w)) \ v5)) = T(x,y \ (((w \ u) / z) * v5)). [hyper(6105,a,9860,a),flip(a)]. 9862 T(x,y \ (((z \ 1) / u) * w)) = T(x,y \ ((u * z) \ w)). [para(60(a,1),9861(a,1,2,2,1,2)),flip(a)]. 9863 T(x,y \ ((z * T(u,u \ w)) \ v5)) = T(x,y \ (((w \ (u \ w)) / z) * v5)). [para(99(a,2),9861(a,1,2,2,1,2))]. 9864 T(x,y \ (((z \ (z * (z / u))) / w) * v5)) = T(x,y \ ((w * (u / z)) \ v5)). [para(3309(a,1),9861(a,1,2,2,1,2)),flip(a)]. 9865 T(x,y \ (((z \ (u \ z)) / w) * v5)) = T(x,y \ ((w * T(u,z)) \ v5)). [para(2999(a,1),9862(a,1,2,2,1,1))]. 9866 T(x,y \ ((z * T(u,u \ w)) \ v5)) = T(x,y \ ((z * T(u,w)) \ v5)). [hyper(272,a,9865,a(flip),b,9863,a),flip(a)]. 9867 T(x,y \ ((z * T(u,1)) \ w)) = T(x,y \ ((u \ (1 / z)) * w)). [hyper(58,a,8507,a(flip),b,9866,a),flip(a)]. 9868 T(x,y \ ((z \ (1 / u)) * w)) = T(x,y \ ((u * z) \ w)). [para(182(a,1),9867(a,1,2,2,1,2)),flip(a)]. 9869 T(x,y \ ((z * (u / w)) \ v5)) = T(x,y \ (((w / u) / z) * v5)). [para(4(a,1),9864(a,1,2,2,1,1)),flip(a)]. 9870 x \ T(x,y \ (((z / u) / w) * v5)) = K(x,y \ ((w * (u / z)) \ v5)). [hyper(112,a,9869,a(flip),b,2674,a(flip))]. 9872 K(x,y \ ((z * (u / w)) \ v5)) != v6 | K(x,y \ (((w / u) / z) * v5)) = v6. [para(9870(a,1),2691(a,1))]. 9873 T(x,y * (z * (u \ ((1 / w) / v5)))) = T(x,y * (z * (u \ (w \ (v5 \ 1))))). [para(60(a,1),9836(a,1,2,2,2,2)),flip(a)]. 9874 T(x,y * (z * (u \ ((1 / w) / v5)))) = T(x,y * (z / ((v5 * w) * u))). [hyper(272,a,9752,a(flip),b,9873,a),flip(a)]. 9875 T(x,y * (((z / u) * w) * (v5 \ 1))) = T(x,y * (((u / z) \ w) / v5)). [hyper(58,a,6178,a(flip),b,9844,a)]. 9876 T(x,y * (((z / u) * w) * ((1 / v5) \ 1))) = T(x,y * (((u / z) \ w) * v5)). [hyper(272,a,8482,a(flip),b,9875,a),flip(a)]. 9877 T(x,y * (((z / u) \ w) * v5)) = T(x,y * (((u / z) * w) * v5)). [para(74(a,1),9876(a,1,2,2,2)),flip(a)]. 9878 T(x,y * (((z / u) \ K(w,u / z)) * v5)) = T(x,y * (T(u / z,w) * v5)). [para(2652(a,2),9877(a,2,2,2,1))]. 9879 T(x,y * (T((z / u) \ 1,w) * v5)) = T(x,y * (T(u / z,w) * v5)). [para(4458(a,1),9878(a,1,2,2,1))]. 9880 T(x,y * (T(1 / z,u) * w)) = T(x,y * (T(z \ 1,u) * w)). [para(70(a,1),9879(a,1,2,2,1,1,1)),flip(a)]. 9881 T(x,y * (T(z \ 1,u) * w)) = T(x,y * (T(z,u) \ w)). [hyper(58,a,9650,a(flip),b,9880,a),flip(a)]. 9882 T(x,y * (T(z / u,w) \ v5)) = T(x,y * (T(u / z,w) * v5)). [hyper(58,a,9879,a(flip),b,9881,a),flip(a)]. 9883 T(x,T(y,z * (u * (w \ v5))) * (z * (u * (w \ v5)))) = T(x,(z * (u / (v5 \ w))) * y). [para(9643(a,1),9605(a,1,2,1))]. 9884 T(T(x,y * ((z \ u) * w)),K(v5,y * ((z \ u) * w))) = T(x,T(y * ((u \ z) \ w),v5)). [para(9663(a,1),9649(a,1,2))]. 9885 T(T(x,(y * (z \ u)) * w),K(v5,(y * (z \ u)) * w)) = T(x,T((y / (u \ z)) * w,v5)). [para(9771(a,1),9770(a,1,2))]. 9886 T(x,T(y,z \ ((u / w) * v5)) * (z \ ((u / w) * v5))) = T(x,(z \ ((w / u) \ v5)) * y). [para(9670(a,1),9805(a,1,2,1))]. 9887 T(T(x,((y / z) * u) * w),K(v5,((y / z) * u) * w)) = T(x,T(((z / y) \ u) * w,v5)). [para(9825(a,1),9822(a,1,2))]. 9888 T(x,y * (z \ (u * L(w,v5,v5)))) = T(x,y * ((u * w) * (T(z,u * w) \ 1))). [para(8461(a,1),9855(a,1,2,2,2,1)),flip(a)]. 9889 T(x,y * (z \ (u * L(w,v5,v5)))) = T(x,y * (z \ (u * w))). [para(3006(a,1),9888(a,2,2,2))]. 9891 T(x,y * (z \ (((1 / u) * w) * v5))) = T(x,y * (z \ ((u \ w) * v5))). [hyper(58,a,9595,a(flip),b,9889,a)]. 9893 T(x,y * (z \ ((u \ w) * (T(v5,(1 / u) * w) \ 1)))) = T(x,y * (z \ (v5 \ ((1 / u) * w)))). [para(3006(a,1),9891(a,1,2,2,2)),flip(a)]. 9894 T(x,T(y,((z \ u) * w) * v5) * (((z \ u) * w) * v5)) = T(x,(((u \ z) \ w) * v5) * y). [para(9824(a,1),9857(a,1,2,1))]. 9895 T(x,(y * (z / (u \ w))) * v5) != v6 | T(x,(y * (z * (w \ u))) * v5) = v6. [para(9883(a,1),5779(a,1))]. 9896 T(x,T(y * ((z \ u) \ w),v5)) = T(x,T(y * ((u \ z) * w),v5)). [hyper(5497,a,9884,a),flip(a)]. 9898 T(x,T((y / (z \ u)) * w,v5)) = T(x,T((y * (u \ z)) * w,v5)). [hyper(5497,a,9885,a),flip(a)]. 9899 T(x,T((y * (z \ (z * (z / u)))) * w,v5)) = T(x,T((y / (u / z)) * w,v5)). [para(3309(a,1),9898(a,1,2,1,1,2)),flip(a)]. 9900 T(x,T((y / (z / u)) * w,v5)) = T(x,T((y * (u / z)) * w,v5)). [para(4(a,1),9899(a,1,2,1,1,2)),flip(a)]. 9901 T(x,T((y * (z / u)) * (w \ (w / v5)),v6)) = T(x,T((y / (u / z)) / v5,v6)). [hyper(9728,a,9900,a),flip(a)]. 9903 T(x,T((y / (1 / z)) * u,w)) = T(x,T((y * z) * u,w)). [para(70(a,1),9900(a,2,2,1,1,2))]. 9904 T(x,T((y * (z / u)) * (T(w,y / (u / z)) \ 1),v5)) = T(x,T(w \ (y / (u / z)),v5)). [para(3006(a,1),9900(a,1,2,1)),flip(a)]. 9905 T(x,T((y / (z / u)) / w,v5)) = T(x,T((y * (u / z)) / w,v5)). [hyper(9728,a,9901,a),flip(a)]. 9907 T(x,T(T((y * z) * z,z) / u,w)) = T(x,T((z / ((1 / z) / y)) / u,w)). [para(3102(a,2),9905(a,2,2,1,1)),flip(a)]. 9908 T(x,T(T((y * z) * z,z) / u,w)) = T(x,T((z * ((y \ 1) \ z)) / u,w)). [para(4905(a,1),9907(a,2,2,1,1))]. 9909 T(x,(y \ ((z / u) \ w)) * v5) = T(x,(y \ ((u / z) * w)) * v5). [hyper(5779,a,9886,a),flip(a)]. 9910 T(x,((1 / y) \ ((z / u) * w)) * v5) = T(x,(y * ((u / z) \ w)) * v5). [hyper(58,a,8589,a(flip),b,9909,a),flip(a)]. 9911 T(x,(y * ((z / u) \ w)) * v5) = T(x,(y * ((u / z) * w)) * v5). [hyper(58,a,8589,a(flip),b,9910,a),flip(a)]. 9912 T(x,(y * ((z / u) \ (w \ 1))) * v5) = T(x,(y * ((u / z) / w)) * v5). [hyper(272,a,8675,a(flip),b,9911,a),flip(a)]. 9913 T(x,(y * ((z / u) * T(w,u / z))) * v5) = T(x,(y * (w / (u / z))) * v5). [hyper(58,a,8674,a(flip),b,9911,a),flip(a)]. 9914 T(x,(y / (z * (u / w))) * v5) = T(x,(y * ((w / u) / z)) * v5). [hyper(58,a,9773,a(flip),b,9912,a)]. 9915 T(x,(K(y,(z / u) / w) / (w * (u / z))) * v5) = T(x,T((z / u) / w,y) * v5). [para(2692(a,2),9914(a,2,2,1))]. 9916 T(x,(y * (z / ((u / w) \ 1))) * v5) = T(x,(y * (z / (w / u))) * v5). [para(4480(a,1),9913(a,1,2,1,2))]. 9917 T(x,(y * (z / (u / w))) * v5) = T(x,(y * (z * (w / u))) * v5). [hyper(58,a,9174,a(flip),b,9916,a),flip(a)]. 9918 T(x,T(1 / (y * (z / u)),w) * v5) = T(x,T((u / z) / y,w) * v5). [para(9168(a,1),9915(a,1,2,1))]. 9919 T(x,T(y * (z / u),w) \ v5) = T(x,T((u / z) / y,w) * v5). [hyper(58,a,8621,a(flip),b,9918,a)]. 9920 T(x,T(((y / z) \ u) * w,v5)) = T(x,T(((z / y) * u) * w,v5)). [hyper(5497,a,9887,a),flip(a)]. 9921 T(x,T(((y / 1) * z) * u,y)) = T(x,y * (y * (z * (u / y)))). [hyper(6511,a,9920,a),flip(a)]. 9922 T(x,y * (y * (z * (u / y)))) = T(x,T((y * z) * u,y)). [para(70(a,1),9921(a,1,2,1,1,1)),flip(a)]. 9923 T(x,(((y \ z) \ u) * w) * v5) != v6 | T(x,(((z \ y) * u) * w) * v5) = v6. [para(9894(a,1),5779(a,1))]. 9924 T(x,T((y * (z / u)) * (T(w,y * (z / u)) \ 1),v5)) = T(x,T(w \ (y / (u / z)),v5)). [para(9693(a,1),9904(a,1,2,1,2,1))]. 9925 T(x,T(y \ (z / (u / w)),v5)) = T(x,T(y \ (z * (w / u)),v5)). [para(3006(a,1),9924(a,1,2,1)),flip(a)]. 9926 T(x,T(y \ (z * ((z / u) / 1)),w)) = T(x,T(y \ ((u \ z) * z),w)). [para(3471(a,1),9925(a,1,2,1,2)),flip(a)]. 9927 T(x,T(y \ ((z \ u) * u),w)) = T(x,T(y \ (u * (u / z)),w)). [para(70(a,1),9926(a,1,2,1,2,2)),flip(a)]. 9928 R(x,y * (z / y),y * (((z / y) / (1 / y)) \ 1)) = L(x,(1 / y) * (z \ 1),y * (z / y)). [para(5109(a,1),8887(a,1,3))]. 9929 T(x,y * (T(z,u * (w / v5)) * (u * (w / v5)))) = T(x,y * ((u * (w * (1 / v5))) * z)). [para(8550(a,1),8908(a,1,2,2,1))]. 9930 T(x,y * ((z * (u * (1 / w))) * v5)) = T(x,y * ((z * (u / w)) * v5)). [para(2778(a,1),9929(a,1,2,2)),flip(a)]. 9931 T(x,y * ((z \ (u * (1 / w))) * v5)) = T(x,y * (((z \ 1) * (u / w)) * v5)). [hyper(58,a,8842,a(flip),b,9930,a)]. 9932 T(x,y * ((z \ (u * (1 / w))) * v5)) = T(x,y * ((z \ (u / w)) * v5)). [hyper(272,a,8842,a(flip),b,9931,a),flip(a)]. 9933 L(x,y * (z * ((u \ w) * K(v5,v5 \ 1))),v6) = L(x,y * (z * ((((v5 * u) \ 1) * v5) * w)),v6). [para(2142(a,1),9300(a,1,2,2,2))]. 9934 T(x,y * (z \ ((u \ w) * (T(v5,u \ w) \ 1)))) = T(x,y * (z \ (v5 \ ((1 / u) * w)))). [para(5982(a,1),9893(a,1,2,2,2,2,1))]. 9935 T(x,y * (z \ (u \ ((1 / w) * v5)))) = T(x,y * (z \ (u \ (w \ v5)))). [para(3006(a,1),9934(a,1,2,2,2)),flip(a)]. 9936 T(x,y * (T(z,u) / (w * (u * w)))) = T(x,y * (w \ (u \ (w \ z)))). [hyper(58,a,9717,a(flip),b,9935,a)]. 9937 R(x,y * (z / y),y * (L(z,y,y) \ 1)) = L(x,(1 / y) * (z \ 1),y * (z / y)). [para(3105(a,1),9928(a,1,3,2,1))]. 9938 R(x,y * (z / y),(1 / y) \ (z \ 1)) = L(x,(1 / y) * (z \ 1),y * (z / y)). [para(3801(a,1),9937(a,1,3))]. 9939 L(x,y * (z * ((((u * w) \ 1) * u) * v5)),v6) = L(x,y * (z * (w \ v5)),v6). [hyper(58,a,2467,a(flip),b,9933,a),flip(a)]. 9941 (T(x,x \ y) / y) \ (((T(x,x \ y) / y) * z) * u) = (y \ x) \ (((y \ x) * z) * u). [para(5727(a,1),8643(a,1,2,1,1))]. 9942 (T(x \ y,x) / (x * (y / x))) \ (((T(x \ y,(x \ y) \ (x * (y / x))) / (x * (y / x))) * z) * u) = ((x * (y / x)) \ (x \ y)) \ ((((x * (y / x)) \ (x \ y)) * z) * u). [para(2831(a,1),9941(a,1,1,1,2))]. 9943 (x * ((x \ y) * z)) * ((x \ (x * ((x \ y) * z))) \ 1) = L(x,y * (z * x),y * (z * x)). [hyper(272,a,9291,a(flip),b,9051,a),flip(a)]. 9944 (x * ((x \ y) * z)) * (((x \ y) * z) \ 1) = L(x,y * (z * x),y * (z * x)). [para(4(a,1),9943(a,1,2,1))]. 9945 L(x,(x \ y) * z,(x \ y) * z) = L(x,y * (z * x),y * (z * x)). [hyper(2026,a,9944,a)]. 9947 ((1 / ((1 / x) \ y)) \ a(1 / ((1 / x) \ y),x,y \ (1 / x))) * x = x / ((y * x) \ 1). [para(2(a,1),9314(a,1,1,2,3))]. 9948 ((1 / ((1 / x) \ y)) \ a(1 / ((1 / x) \ y),x,y \ (x \ 1))) * x = x / ((y * x) \ 1). [para(2606(a,1),9947(a,1,1,2))]. 9949 ((1 / ((1 / x) \ y)) \ a(((1 / x) \ y) \ 1,x,y \ (x \ 1))) * x = x / ((y * x) \ 1). [para(2517(a,1),9948(a,1,1,2))]. 9950 ((1 / ((1 / x) \ y)) \ a((y \ 1) * (x \ 1),x,y \ (x \ 1))) * x = x / ((y * x) \ 1). [para(3733(a,1),9949(a,1,1,2,1))]. 9951 L(x,y * ((1 * (1 / (L(z,u,u) \ 1))) * w),v5) = L(x,y * ((u * ((z \ u) \ 1)) * w),v5). [para(3(a,1),9365(a,2,2,2,1))]. 9953 L(x,y * ((1 * (1 / (L(z,u,u) \ 1))) * w),v5) = L(x,y * ((u / (z \ u)) * w),v5). [hyper(272,a,9361,a(flip),b,9951,a),flip(a)]. 9955 L(x,y * ((1 * (1 / (L(z,u,u) \ 1))) * w),v5) = L(x,y * (z * w),v5). [para(72(a,1),9953(a,2,2,2,1))]. 9958 L(x,y * ((1 * L(z,u,u)) * w),v5) = L(x,y * (z * w),v5). [para(72(a,1),9955(a,1,2,2,1,2))]. 9960 L(x,y * (L(z,u,u) * w),v5) = L(x,y * (z * w),v5). [para(2(a,1),9958(a,1,2,2,1))]. 9961 L(x,y * (L(R(z,u,w),v5,v5) * (u * w)),v6) = L(x,y * ((z * u) * w),v6). [para(93(a,1),9960(a,2,2,2))]. 9962 L(x,y * ((L(z,u,u) * w) * v5),v6) = L(x,y * ((z * w) * v5),v6). [para(451(a,1),9961(a,1,2,2))]. 9963 L(x,y * ((z * u) * T(w,L(z,v5,v5) * u)),v6) = L(x,y * (w * (L(z,v5,v5) * u)),v6). [para(98(a,1),9962(a,1,2,2)),flip(a)]. 9964 L(x,y * ((z * u) * T(w,z * u)),v5) = L(x,y * (w * (L(z,v6,v6) * u)),v5). [para(8460(a,1),9963(a,1,2,2,2))]. 9965 L(x,y * (z * (L(u,w,w) * v5)),v6) = L(x,y * (z * (u * v5)),v6). [para(98(a,1),9964(a,1,2,2)),flip(a)]. 9967 L(x,y * (z * (L(T(u,w),v5,v5) * w)),v6) = L(x,y * (z * (w * u)),v6). [para(2778(a,1),9965(a,2,2,2,2))]. 9968 L(x,y * (z * (u * L(w,v5,v5))),v6) = L(x,y * (z * (u * w)),v6). [para(2787(a,1),9967(a,1,2,2,2))]. 9969 L(x,y * (z * (((u \ 1) * w) * v5)),v6) = L(x,y * (z * ((u \ w) * v5)),v6). [hyper(58,a,9303,a(flip),b,9968,a),flip(a)]. 9971 L(x,y * (z * (((u * w) \ u) * v5)),v6) = L(x,y * (z * (w \ v5)),v6). [hyper(58,a,9939,a(flip),b,9969,a),flip(a)]. 9972 L(x,y * (z * ((u \ w) \ v5)),v6) = L(x,y * (z * ((w \ u) * v5)),v6). [hyper(58,a,9517,a(flip),b,9971,a),flip(a)]. 9974 L(x,y * ((z \ u) * ((u \ z) * w)),v5) = L(x,y * w,v5). [para(5(a,1),9972(a,1,2,2)),flip(a)]. 9975 L(x,y * ((z \ u) \ w),v5) = L(x,y * ((u \ z) * w),v5). [para(5(a,1),9974(a,1,2,2,2)),flip(a)]. 9976 L(x,y * ((z / u) \ w),v5) = L(x,y * ((u / z) * w),v5). [para(7299(a,1),9974(a,1,2,2)),flip(a)]. 9977 x * L(x \ 1,y * ((z \ u) * w),v5) = a(x,v5,y * ((u \ z) \ w)). [hyper(114,a,9975,a(flip),b,1184,a(flip))]. 9978 L(x,(y \ z) * ((z \ y) * u),w) = L(x,u,w). [para(5(a,1),9975(a,1,2)),flip(a)]. 9979 L(x,y * ((z \ T(u / w,u)) * 1),v5) = L(x,y * ((z \ 1) * ((u \ w) \ 1)),v5). [para(4023(a,1),9975(a,1,2,2)),flip(a)]. 9980 L(x,(y \ z) * ((z \ y) * ((u \ w) * v5)),v6) = L(x,((u \ 1) * w) * L(v5,u,u),v6). [hyper(58,a,9303,a(flip),b,9978,a)]. 9981 L(x,(y \ z) \ u,w) = L(x,(z \ y) * u,w). [para(5(a,1),9978(a,1,2,2)),flip(a)]. 9982 L(x,(y \ z) \ 1,u) = L(x,z \ y,u). [para(65(a,1),9978(a,1,2)),flip(a)]. 9983 L(x,T(y,y \ z),u) = L(x,(z \ y) * z,u). [para(203(a,1),9978(a,1,2,2)),flip(a)]. 9984 L(x,(y \ z) * ((u * (w * (z \ y))) / (z \ y)),v5) = L(x,((z \ y) \ u) * L(w,z \ y,z \ y),v5). [para(2027(a,1),9978(a,1,2,2))]. 9985 L(x,y / (z \ u),w) = L(x,y * (u \ z),w). [para(6566(a,1),9978(a,1,2))]. 9986 L(x,(y / z) \ u,w) = L(x,(z / y) * u,w). [para(7299(a,1),9978(a,1,2)),flip(a)]. 9987 L(x,y \ ((1 / z) / u),w) = L(x,y \ (z \ (u \ 1)),w). [hyper(58,a,9224,a(flip),b,9982,a)]. 9988 L(x,(y * z) \ y,u) = L(x,z \ 1,u). [para(4(a,1),9982(a,1,2,1)),flip(a)]. 9989 L(x,(y / z) \ 1,u) = L(x,z / y,u). [para(3309(a,1),9988(a,1,2)),flip(a)]. 9990 L(x,T(y \ z,z),u) = L(x,z / y,u). [para(2768(a,2),9989(a,1,2))]. 9991 L(x,y / (y * z),u) = L(x,y \ (z \ y),u). [para(3241(a,1),9990(a,1,2)),flip(a)]. 9992 L(x,(((y \ z) \ 1) \ z) * u,w) = L(x,(y \ (z * z)) * u,w). [hyper(9264,a,9981,a),flip(a)]. 9993 L(x,(y \ z) \ u,(w \ v5) \ v6) = L(x,(z \ y) * u,(v5 \ w) * v6). [hyper(272,a,9093,a(flip),b,9981,a),flip(a)]. 9994 L(x,((y * z) \ y) * u,w) = L(x,z \ u,w). [para(4(a,1),9981(a,1,2,1)),flip(a)]. 9995 L(x,T(y,y \ z),u) = L(x,T(y,z),u). [hyper(272,a,9226,a(flip),b,9983,a),flip(a)]. 9996 L(x,T(y,z),y \ z) = L(x,y,y \ z). [hyper(58,a,9007,a(flip),b,9995,a),flip(a)]. 9997 L(T(x,y * (y / z)),y * (z \ y),y * (z \ y)) = T(x,1 / ((y * y) / z)). [hyper(58,a,9116,a(flip),b,9985,a),flip(a)]. 9998 L(x,y * ((z * u) \ z),w) = L(x,y / u,w). [para(4(a,1),9985(a,1,2,2)),flip(a)]. 9999 L(x,y * (z \ (z / u)),w) = L(x,y / u,w). [para(74(a,1),9985(a,1,2,2)),flip(a)]. 10000 L(x,y * (T(z,u) \ (u \ 1)),w) = L(x,y / (z / (1 / u)),w). [para(3348(a,1),9985(a,1,2,2)),flip(a)]. 10001 L(x,(y / (1 / z)) \ u,w) = L(x,(z \ (y \ 1)) * u,w). [hyper(272,a,9251,a(flip),b,9986,a),flip(a)]. 10003 a(x,y,((z * u) \ z) * w) = x * L(x \ 1,u \ w,y). [hyper(114,a,9994,a(flip),b,1184,a(flip)),flip(a)]. 10004 L(x,(y \ (y \ (y / z))) * u,w) = L(x,(z * y) \ u,w). [para(3297(a,1),9994(a,1,2,1,1))]. 10005 L(x,((y * L(z,z,u)) \ L(z,z,u)) * w,v5) = L(x,T(y,z) \ w,v5). [para(6304(a,1),9994(a,1,2,1,1))]. 10006 L(x,y * ((z * u) \ z),y / u) = L(x,u \ y,u \ y). [hyper(272,a,6982,a(flip),b,9998,a),flip(a)]. 10007 L(x,y / (z / u),w) = L(x,y * (u / z),w). [para(3309(a,1),9998(a,1,2,2)),flip(a)]. 10008 L(x,y * (z * ((z \ 1) / u)),w) = L(x,y / u,w). [hyper(9255,a,9999,a)]. 10009 L(x,y * ((1 / z) / u),w) = L(x,y / (u * z),w). [para(4802(a,1),10008(a,1,2,2))]. 10010 L(x,y / (z / (1 / u)),w) = L(x,y / (z * u),w). [hyper(58,a,10007,a,b,10009,a)]. 10011 L(x,(y \ 1) / (z * u),w) = L(x,y \ ((1 / u) / z),w). [hyper(58,a,9218,a(flip),b,10009,a),flip(a)]. 10012 L(x,(y \ ((y * z) \ 1)) * u,w) = L(x,(y * (z * y)) \ u,w). [para(3589(a,1),10001(a,1,2,1)),flip(a)]. 10013 a(x,y,((z * u) \ z) * w) = a(x,y,u \ w). [hyper(272,a,1178,a,b,10003,a),flip(a)]. 10014 a(x,y,(z \ u) \ w) = a(x,y,(u \ z) * w). [para(5(a,1),10013(a,1,3,1,1)),flip(a)]. 10015 a(x,y,(z / u) \ w) = a(x,y,(u / z) * w). [para(3309(a,1),10013(a,1,3,1)),flip(a)]. 10016 a(x,y,(z \ u) \ 1) = a(x,y,u \ z). [para(3(a,1),10014(a,2,3))]. 10017 a(x,y,(z \ u) \ 1) = a(x,y,(u \ 1) * z). [hyper(272,a,9272,a,b,10016,a),flip(a)]. 10018 a(x,y,(z / T(u,z)) * 1) = a(x,y,T(z / u,z)). [hyper(58,a,9265,a(flip),b,10015,a),flip(a)]. 10019 a(x,y,z / T(u,z)) = a(x,y,T(z / u,z)). [para(3(a,1),10018(a,1,3))]. 10020 a(x,y,T(z / u,z)) = a(x,y,u \ z). [hyper(58,a,9239,a(flip),b,10019,a),flip(a)]. 10021 L(x,y * ((z * u) \ z),y * ((w * u) \ w)) = L(x,u \ y,u \ y). [hyper(58,a,9112,a,b,10006,a)]. 10022 L(x,y \ ((1 / z) / u),w) = L(x,y \ ((u * z) \ 1),w). [hyper(58,a,9223,a(flip),b,10011,a),flip(a)]. 10023 L(x,y \ ((z * u) \ 1),w) = L(x,y \ (u \ (z \ 1)),w). [hyper(58,a,9987,a(flip),b,10022,a),flip(a)]. 10024 L(x,y \ (z \ (u \ 1)),y) = R(x,y,y \ (u * z)). [hyper(58,a,8888,a(flip),b,10023,a),flip(a)]. 10025 L(R(x,y,y \ (y * z)),(y \ 1) / z,y \ 1) = L(x,y,y). [para(10024(a,1),9216(a,1,1))]. 10026 L(R(x,y,z),(y \ 1) / z,y \ 1) = L(x,y,y). [para(4(a,1),10025(a,1,1,3))]. 10027 L(R(x,y,z),z \ (y \ 1),y \ 1) = L(x,y,y). [hyper(58,a,9215,a(flip),b,10026,a)]. 10028 L(x,(y \ (z * z)) * u,w) = L(x,(z * (z / y)) * u,w). [para(3466(a,1),9992(a,1,2,1)),flip(a)]. 10029 L(x,y / (z / (1 / u)),w) = L(x,y * (u \ (z \ 1)),w). [para(4352(a,1),10000(a,1,2,2)),flip(a)]. 10030 L(x,y * (z \ (u \ 1)),w) = L(x,y / (u * z),w). [hyper(58,a,10010,a(flip),b,10029,a),flip(a)]. 10031 L(x,y * ((z \ 1) / u),w) = L(x,y / (u * z),w). [hyper(58,a,9270,a,b,10030,a)]. 10032 L(x,y * (z \ (1 / u)),w) = L(x,y / (u * z),w). [hyper(58,a,2468,a,b,10030,a)]. 10033 L(x,y * (z \ T(u / w,u)),v5) = L(x,y / ((u \ w) * z),v5). [para(3063(a,2),10032(a,1,2,2,2))]. 10035 a(x,y,z * ((u \ w) \ v5)) != v6 | a(x,y,z * ((w \ u) * v5)) = v6. [para(9977(a,1),1204(a,1))]. 10036 a(x,y,z * ((u \ w) \ v5)) != v6 \ v7 | v6 * a(x,y,z * ((w \ u) * v5)) = v7. [para(9977(a,1),1205(a,2)),flip(a)]. 10037 L(x,y \ (z \ u),y \ (z \ u)) = L(x,(u \ z) * y,(u \ z) * y). [hyper(5196,a,9993,a)]. 10038 L(x,T(y \ 1,L(z,z,u)) * w,v5) = L(x,T(y,z) \ w,v5). [para(2258(a,2),10005(a,1,2,1))]. 10039 L(x,T(y \ 1,z) * u,w) = L(x,T(y,z) \ u,w). [para(345(a,1),10038(a,1,2,1,2))]. 10040 L(x,T(y \ 1,z),u) = L(x,T(y,z) \ 1,u). [para(3(a,1),10039(a,1,2))]. 10041 L(x,1 / T(y,z),u) = L(x,T(y \ 1,z),u). [hyper(272,a,2461,a,b,10040,a)]. 10042 x * L(x \ 1,(y \ z) * u,(y \ z) * u) = a(x,u \ (z \ y),u \ (z \ y)). [hyper(114,a,10037,a(flip),b,1184,a(flip))]. 10043 L(x,y \ (z \ ((u * z) * z)),y \ (z \ ((u * z) * z))) = L(x,(u \ (1 / z)) * y,(((u * z) * z) \ z) * y). [para(4623(a,1),10037(a,2,2,1))]. 10044 L(x,y * ((z \ T(u / w,u)) * 1),v5) = L(x,y * ((z \ 1) / (u \ w)),v5). [hyper(272,a,9232,a(flip),b,9979,a),flip(a)]. 10045 L(x,y * ((z \ T(u / w,u)) * 1),v5) = L(x,y * ((z \ 1) * (w \ u)),v5). [hyper(272,a,9297,a(flip),b,10044,a),flip(a)]. 10046 L(x,y * ((z \ T(u / w,u)) * 1),v5) = L(x,y * (z \ (w \ u)),v5). [hyper(272,a,9268,a(flip),b,10045,a),flip(a)]. 10047 L(x,y * (z \ T(u / w,u)),v5) = L(x,y * (z \ (w \ u)),v5). [para(3(a,1),10046(a,1,2,2))]. 10048 L(x,y / ((z \ u) * w),v5) = L(x,y * (w \ (u \ z)),v5). [hyper(58,a,10033,a(flip),b,10047,a)]. 10049 x * L(x \ 1,y * (z \ (u \ w)),v5) = a(x,v5,y / ((w \ u) * z)). [hyper(114,a,10048,a(flip),b,1184,a(flip))]. 10050 a(x,y,z / ((u \ w) * v5)) = a(x,y,z * (v5 \ (w \ u))). [hyper(1204,a,10049,a),flip(a)]. 10051 a(x,y,z / ((u \ w) * v5)) != v6 | a(x,y,z * (v5 \ (w \ u))) = v6. [para(10049(a,1),1204(a,1))]. 10052 a(x,y \ (z \ u),y \ (z \ u)) = a(x,(u \ z) * y,(u \ z) * y). [hyper(1204,a,10042,a),flip(a)]. 10053 L(x,((y \ 1) * z) * L(u,y,y),w) = L(x,(y \ z) * u,w). [hyper(58,a,9978,a(flip),b,9980,a),flip(a)]. 10054 L(x,((y \ 1) * z) * u,w) = L(x,(y \ z) * u,w). [hyper(9236,a,10053,a)]. 10055 L(x,((y \ 1) * z) \ u,w) = L(x,(z \ y) * u,w). [hyper(58,a,9317,a(flip),b,10053,a)]. 10057 L(x,((1 / y) \ z) * u,w) = L(x,(y * z) * u,w). [para(74(a,1),10054(a,1,2,1,1)),flip(a)]. 10058 L(x,(y \ (1 / z)) * u,w) = L(x,(z * y) \ u,w). [para(74(a,1),10055(a,1,2,1,1)),flip(a)]. 10059 L(x,(y * z) * (u * y),w) = L(x,y * ((z * u) * y),w). [para(27(a,1),10057(a,1,2)),flip(a)]. 10060 L(x,(y * (z / y)) * u,w) = L(x,T(z,y) * u,w). [para(2920(a,2),10057(a,1,2,1)),flip(a)]. 10061 L(x,(y * z) \ K(u,w \ 1),v5) = L(x,(z \ (1 / y)) * K(w,u),v5). [hyper(58,a,9308,a(flip),b,10058,a),flip(a)]. 10062 L(x,(y * z) \ 1,u) = L(x,z \ (1 / y),u). [para(3(a,1),10058(a,1,2)),flip(a)]. 10063 L(x,(y * z) \ 1,u) = L(x,z \ (y \ 1),u). [hyper(272,a,2466,a(flip),b,10062,a),flip(a)]. 10064 L(x,(y * ((z \ (y \ 1)) / y)) * u,w) = L(x,((T(z,y) \ 1) / y) * u,w). [para(4353(a,2),10060(a,2,2,1))]. 10065 L(x,T(1 / (y * z),y) * u,w) = L(x,(y \ (y \ (y / z))) * u,w). [para(4603(a,1),10060(a,1,2,1)),flip(a)]. 10066 L(x,(y * z) * ((u \ 1) * y),w) = L(x,y * ((T(u,z) \ z) * y),w). [para(2935(a,2),10059(a,2,2,2,1))]. 10067 L(x,(y * z) \ K(u,w \ 1),v5) = L(x,(y * z) \ K(w,u),v5). [hyper(272,a,10058,a(flip),b,10061,a),flip(a)]. 10068 L(x,T(1 / (y * z),y) * u,w) = L(x,(z * y) \ u,w). [hyper(272,a,10004,a(flip),b,10065,a),flip(a)]. 10069 L(x,((y \ 1) / z) * u,w) = L(x,(z * y) \ u,w). [para(4920(a,1),10068(a,1,2,1))]. 10070 L(x,y * ((T(z,u) \ u) * y),w) = L(x,(y * u) * (z \ y),w). [hyper(58,a,9268,a(flip),b,10066,a),flip(a)]. 10071 L(x,(y * z) * (u \ y),w) = L(x,y * ((z / u) * y),w). [hyper(58,a,9363,a(flip),b,10070,a),flip(a)]. 10072 L(x,(y * ((y * z) \ (1 / y))) * u,w) = L(x,((T(z,y) \ 1) / y) * u,w). [para(4648(a,1),10064(a,1,2,1,2))]. 10073 L(x,((y / (1 / z)) \ 1) * u,w) = L(x,((T(y,z) \ 1) / z) * u,w). [para(4867(a,1),10072(a,1,2,1))]. 10074 L(x,((T(y,z) \ 1) / z) * u,w) = L(x,(y / (1 / z)) \ u,w). [hyper(58,a,9218,a(flip),b,10073,a),flip(a)]. 10075 L(x,((T(y,z) \ 1) / z) * u,w) = L(x,(z \ (y \ 1)) * u,w). [hyper(272,a,10001,a(flip),b,10074,a),flip(a)]. 10076 L(x,(y * T(z,y)) \ u,w) = L(x,(y \ (z \ 1)) * u,w). [hyper(58,a,10069,a(flip),b,10075,a)]. 10077 L(x,(y \ (z \ 1)) * u,w) = L(x,(z * y) \ u,w). [para(98(a,1),10076(a,1,2,1)),flip(a)]. 10078 L(x,y \ ((z \ 1) * K(y,u)),w) = L(x,(z * y) \ K(y,u),w). [para(4298(a,2),10077(a,1,2))]. 10079 L(x,(y * z) \ K(z,u),w) = L(x,z \ (y \ K(z,u)),w). [para(5586(a,1),10078(a,1,2,2)),flip(a)]. 10080 L(x,(y * z) \ K(u,z \ 1),w) = L(x,z \ (y \ K(z,u)),w). [hyper(58,a,10067,a,b,10079,a)]. 10081 L(x * (1 / T(y / z,y)),z \ y,z \ y) = L(x,T(y / z,y),T(y / z,y)) * (y \ z). [hyper(58,a,9202,a(flip),b,8945,a)]. 10082 L(x,T(y / z,y),T(y / z,y)) * (y \ z) = x / ((y \ z) \ 1). [hyper(7173,a,10081,a),flip(a)]. 10083 L(x,T(y / z,y),z \ y) * (y \ z) = x / ((y \ z) \ 1). [para(8927(a,1),10082(a,1,1))]. 10084 L(x,y \ z,y \ z) * (z \ y) = x / ((z \ y) \ 1). [para(9202(a,1),10083(a,1,1))]. 10085 K(x,y) * K(T(y,x),R(x,z,u)) = K(y * x,y * R(x,z,u)). [para(3900(a,1),9413(a,1,1))]. 10087 K(x,y) * K(y,T(R(x,z,u),x)) = K(y * x,y * R(x,z,u)). [para(5239(a,1),10085(a,1,2))]. 10088 K(x * y,x * R(y,z,u)) = K(y,x) * K(x,R(y,z,u)). [para(160(a,1),10087(a,1,2,2)),flip(a)]. 10089 (L(x,y,y) \ 1) * (L(x,y,y) \ K(z,L(x,y,y) \ 1)) = (x \ (1 / x)) * K(z,x \ 1). [para(5975(a,1),9482(a,2,2))]. 10091 (L(x,y,y) \ 1) * (L(x,y,y) \ K(z,L(x,y,y) \ 1)) = (x \ 1) * (x \ K(z,x \ 1)). [hyper(272,a,6787,a(flip),b,10089,a),flip(a)]. 10092 (L(x,y,y) \ 1) * (L(x,y,y) \ K(z,L(x,y,y) \ 1)) = (x \ 1) * T(x \ 1,z). [para(2653(a,1),10091(a,2,2))]. 10093 (L(x,y,y) \ 1) * (L(x,y,y) \ K(z,L(x,y,y) \ 1)) = x \ T(1 / x,z). [hyper(272,a,756,a(flip),b,10092,a),flip(a)]. 10094 (L(x,y,y) \ 1) * (L(x,y,y) \ K(z,x \ 1)) = x \ T(1 / x,z). [para(5975(a,1),10093(a,1,2,2))]. 10096 (L(x,y,y) \ 1) * L(T(x \ 1,z),y,y) = x \ T(1 / x,z). [para(6922(a,1),10094(a,1,2))]. 10097 L(x \ T(1 / x,y),z,z) = x \ T(1 / x,y). [hyper(58,a,7811,a(flip),b,10096,a)]. 10099 (x \ 1) * (y \ T(1 / y,z)) = x \ (y \ T(1 / y,z)). [hyper(114,a,10097,a(flip),b,2013,a)]. 10100 (x * x) * (y \ T(1 / y,z)) = x * (x * (y \ T(1 / y,z))). [hyper(114,a,10097,a(flip),b,6179,a(flip))]. 10101 (x \ T(1 / x,y)) * (1 / z) = (x \ T(1 / x,y)) / z. [hyper(113,a,10097,a(flip),b,2006,a),flip(a)]. 10102 1 / (x \ (y \ T(1 / y,z))) = (y \ T(1 / y,z)) \ x. [hyper(4168,a,10099,a(flip))]. 10103 T(((x \ 1) \ 1) / (y \ T(1 / y,z)),x \ 1) = 1 / (x \ (y \ T(1 / y,z))). [para(10099(a,1),4918(a,2,2))]. 10104 T(x \ 1,y) * (x \ (1 / z)) = (x \ T(1 / x,y)) / z. [hyper(58,a,7282,a(flip),b,10101,a)]. 10105 1 / (x \ (y \ T(1 / y,z))) = y * (T(y \ 1,z) \ x). [hyper(272,a,7283,a(flip),b,10102,a),flip(a)]. 10106 ((x \ (y \ T(1 / y,z))) \ (y \ T(1 / y,z))) * (y \ T(1 / y,z)) = T(y \ 1,z) * (y \ (1 / (1 / x))). [hyper(272,a,3496,a,b,10104,a)]. 10107 T(x,y * (z * (u * ((((u * w) * v5) / (1 / u)) \ 1)))) = T(x,y * (z / (((1 / u) \ w) * L(v5,u,u)))). [para(4998(a,1),9714(a,1,2,2,2))]. 10108 T(x,y * (z * (L(u,w,w) \ ((v5 \ 1) * (w \ 1))))) = T(x,y * (z / (w * ((1 / w) * ((w * v5) * u))))). [para(3733(a,1),9715(a,1,2,2,2,2))]. 10109 L(x,(y \ z) * ((u * (w * (z \ y))) / (z \ y)),v5) = L(x,((1 / (z \ y)) * u) * w,v5). [hyper(272,a,9200,a(flip),b,9984,a),flip(a)]. 10110 T(x,y * (z * (u / (((u * w) * v5) / (1 / u))))) = T(x,y * (z / (((1 / u) \ w) * L(v5,u,u)))). [hyper(58,a,8561,a(flip),b,10107,a)]. 10111 T(x,y * (z / (((1 / u) \ w) * L(v5,u,u)))) = T(x,y * (z * (u / (((u * w) * v5) * u)))). [hyper(58,a,8741,a(flip),b,10110,a),flip(a)]. 10112 T(x,y * (z / (((1 / u) \ w) * L(v5,u,u)))) = T(x,y * (z / ((u * w) * v5))). [hyper(272,a,9655,a(flip),b,10111,a),flip(a)]. 10114 T(x,y * (z / (u * ((1 / u) * ((u * w) * v5))))) = T(x,y * (z * (L(v5,u,u) \ ((w \ 1) / u)))). [hyper(58,a,9837,a(flip),b,10108,a),flip(a)]. 10115 T(x,y * (z / (u * ((1 / u) * ((u * w) * v5))))) = T(x,y * (z * (v5 \ ((w \ 1) / u)))). [hyper(272,a,8636,a(flip),b,10114,a),flip(a)]. 10117 T(x,y * (z / (((1 / u) \ w) * L(v5,u,u)))) = T(x,y * (z * (v5 \ ((w \ 1) / u)))). [para(6867(a,1),10115(a,1,2,2,2))]. 10118 T(x,y * (z * (u \ ((w \ 1) / v5)))) = T(x,y * (z / ((v5 * w) * u))). [hyper(58,a,10112,a(flip),b,10117,a),flip(a)]. 10119 T(T(x,K(y,z * (u * (w / v5)))),y * (z * (u * (w / v5)))) = T(x,(z * (u * (w * (1 / v5)))) * y). [para(8723(a,1),8905(a,1,1,2))]. 10120 T(x,(y * (z * (u * (1 / w)))) * v5) = T(x,(y * (z * (u / w))) * v5). [hyper(6146,a,10119,a),flip(a)]. 10121 T(x,(y * (((1 / z) * u) * ((z / y) \ 1))) * w) = T(x,((y / z) * (u * (y / z))) * w). [hyper(58,a,8676,a,b,10120,a)]. 10122 L(x,y,(z \ T(1 / z,T(u \ 1,w))) / u) = L(x,y,((w \ (z \ w)) * (1 / u)) / T(z,w)). [para(7412(a,1),9032(a,1,3,1))]. 10123 L(x,y,(z \ T(1 / z,T(u,w) \ 1)) / u) = L(x,y,((w \ (z \ w)) * (1 / u)) / T(z,w)). [para(4491(a,1),10122(a,1,3,1,2))]. 10124 T(T(x,y * (z * (u \ (z / u)))),K(w,y * (z * (u \ (z / u))))) = T(x,T(y * ((u \ z) * (u \ z)),w)). [para(9452(a,1),9451(a,1,2))]. 10125 T(x,((y \ z) * u) \ (K(w,(z \ y) \ u) * v5)) = T(x,T(u \ (z \ y),(u \ (z \ y)) * w) * v5). [para(4431(a,1),9787(a,1,2,2,1))]. 10126 T(x,((y \ z) * u) \ (K(w,(y \ z) * u) * v5)) = T(x,T(u \ (z \ y),(u \ (z \ y)) * w) * v5). [para(8610(a,1),10125(a,1,2,2,1))]. 10127 T(x,T(y \ (z \ u),(y \ (z \ u)) * w) * v5) = T(x,T((u \ z) * y,w) \ v5). [para(3892(a,1),10126(a,1,2)),flip(a)]. 10128 T(x,T((y \ z) * u,w) \ v5) = T(x,T(u \ (z \ y),w) * v5). [hyper(58,a,8465,a(flip),b,10127,a),flip(a)]. 10129 T(x,T(y * ((z \ u) * (z \ u)),w)) != v5 | T(x,T(y * (u * (z \ (u / z))),w)) = v5. [para(10124(a,1),5497(a,1))]. 10130 L(x \ ((y * (z * z)) / x),((x \ 1) * z) * z,x \ (z * z)) = (x \ y) / (1 / (((x \ 1) * z) * z)). [hyper(58,a,8989,a(flip),b,9012,a)]. 10131 L(x \ ((y * (z * z)) / x),((x \ 1) * z) * z,z * (z / x)) = (x \ y) / (1 / (((x \ 1) * z) * z)). [hyper(58,a,9040,a(flip),b,10130,a)]. 10132 L(x \ ((y * (z * z)) / x),((x \ 1) * z) * z,z * (z / x)) = (x \ y) / (z \ (z \ (1 / (x \ 1)))). [para(4785(a,1),10131(a,2,2))]. 10133 L(x \ ((y * (z * z)) / x),((x \ 1) * z) * z,z * (z / x)) = (x \ y) / (z \ (z \ x)). [para(72(a,1),10132(a,2,2,2,2))]. 10135 T(x,T((y * z) \ (((z \ (y \ 1)) * u) \ (1 / (z \ (y \ 1)))),w)) = T(x,T((u / (((1 / z) / y) \ 1)) \ 1,w)). [para(4902(a,1),9792(a,2,2,1,1,2))]. 10136 L(x,y \ T(z * u,u),y \ (u \ ((z * u) * u))) = L(x,(z \ (1 / u)) * y,(((z * u) * u) \ u) * y). [para(17(a,2),10043(a,1,2,2))]. 10137 L(x,(y \ (1 / z)) * u,(((y * z) * z) \ z) * u) = L(x,u \ T(y * z,z),u \ T(y * z,z)). [para(17(a,2),10136(a,1,3,2)),flip(a)]. 10138 ((x \ (y \ T(1 / y,z))) \ (y \ T(1 / y,z))) * (y \ T(1 / y,z)) = T(y \ 1,z) * (y \ ((x \ 1) \ 1)). [para(2898(a,1),10106(a,2,2,2))]. 10139 T(x,T((y * z) \ (((z \ (y \ 1)) * u) \ (1 / (z \ (y \ 1)))),w)) = T(x,T(u / (((1 / z) / y) \ 1),w) \ 1). [hyper(272,a,4491,a(flip),b,10135,a),flip(a)]. 10140 (x * (y * (K(y,z) * (y \ u)))) * K(z,L(y,K(z,y) \ (y \ u),x)) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y). [para(3882(a,1),7960(a,1,1,2,2))]. 10141 (x * (K(y,z) * u)) * K(z,L(y,K(z,y) \ (y \ u),x)) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y). [para(3197(a,1),10140(a,1,1,2))]. 10142 (x * (K(y,z) * u)) * K(z,L(y,y \ u,x)) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y). [para(8030(a,1),10141(a,1,2))]. 10143 (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y). [para(7930(a,1),10142(a,1,2))]. 10145 (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * (((K(y,z) * (u / y)) * K(z,y)) * y). [para(3882(a,1),10143(a,2,2,1,1))]. 10146 (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * (T(u / y,K(y,z)) * y). [para(3717(a,1),10145(a,2,2,1))]. 10147 (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * T((u / y) * y,K(y,z)). [para(5758(a,2),10146(a,2,2))]. 10148 (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * T(u,K(y,z)). [para(7(a,1),10147(a,2,2,1))]. 10149 ((x * (y * (1 / x))) / (x \ y)) * ((1 / x) \ z) = ((x * (y * (1 / x))) \ (x \ (x \ y))) \ z. [para(6391(a,1),7296(a,1,1,2)),flip(a)]. 10150 ((x * (y * (1 / x))) / (x \ y)) * ((1 / x) \ z) = (x \ (1 / T(x,y))) \ z. [para(6977(a,1),10149(a,2,1))]. 10151 ((x * (y * (1 / x))) / (x \ y)) * ((1 / x) \ z) = x * ((T(x,y) \ 1) \ z). [hyper(272,a,7291,a(flip),b,10150,a),flip(a)]. 10152 ((T(x,y) \ 1) \ 1) * ((1 / x) \ z) = x * ((T(x,y) \ 1) \ z). [para(5895(a,1),10151(a,1,1))]. 10153 ((T(x,y) \ 1) \ 1) \ (x \ (y \ 1)) = (x * ((T(x,y) \ 1) \ y)) \ 1. [para(10152(a,1),7424(a,1,1)),flip(a)]. 10154 ((T(x,y) \ 1) \ 1) \ (x \ (y \ 1)) = (x * (y / (1 / x))) \ 1. [para(3483(a,1),10153(a,2,1,2))]. 10155 ((T(x,y) \ 1) \ 1) \ (x \ (y \ 1)) = x \ (y \ (1 / x)). [hyper(272,a,5161,a(flip),b,10154,a),flip(a)]. 10156 ((x * y) \ 1) * (T(x,y) \ 1) = x \ (y \ (1 / x)). [hyper(58,a,7427,a(flip),b,10155,a)]. 10157 (x \ y) * ((x \ y) * (1 / y)) = x \ ((y \ 1) \ (1 / x)). [hyper(58,a,7804,a(flip),b,10156,a)]. 10158 (x \ y) * ((x \ y) * (1 / y)) = (y \ x) \ (1 / x). [hyper(272,a,5100,a(flip),b,10157,a),flip(a)]. 10159 (x \ T(y,x)) \ (1 / T(y,x)) = (x \ y) \ (1 / y). [hyper(7649,a,10158,a)]. 10160 (1 / x) * ((x \ y) \ (1 / y)) = x * ((y \ (1 / x)) / y). [para(10159(a,1),7664(a,1,2))]. 10161 T(x,((y * (z * z)) \ u) * (T((y * z) * z,w) * (y * (z * z)))) = T(x,(y * (z * z)) * (u * K(y * (z * z),w))). [para(3460(a,1),9184(a,1,2,2,1))]. 10162 L(x,y,z) * ((((z * (y * x)) \ (z * y)) \ (z * y)) / (z * y)) = (z * y) \ (((z * y) / (z * (y * x))) \ (z * (y * x))). [para(99(a,1),6862(a,1,2,1))]. 10163 (x * y) \ (((x * y) / (x * (y * z))) \ (x * (y * z))) = L(z,y,x) * ((((x * y) \ (x * (y * z))) \ 1) \ 1). [para(4027(a,2),10162(a,1,2)),flip(a)]. 10164 (x * y) \ (((x * y) / (x * (y * z))) \ (x * (y * z))) = L(z,y,x) * ((L(z,y,x) \ 1) \ 1). [para(13(a,2),10163(a,2,2,1,1))]. 10165 (x * y) \ (((x * y) / (x * (y * z))) \ (x * (y * z))) = (1 / L(z,y,x)) \ L(z,y,x). [hyper(272,a,3007,a(flip),b,10164,a),flip(a)]. 10166 (x * y) \ ((x * (y * z)) / (L(z,y,x) \ 1)) = (1 / L(z,y,x)) \ L(z,y,x). [para(3514(a,1),10165(a,1,2))]. 10167 K(T(x,R(x,y,z) * (x \ u)),(R(x,y,z) \ w) \ u) = K((x \ u) \ u,w \ (R(x,y,z) * u)). [para(4(a,1),7961(a,1,1,1)),flip(a)]. 10168 K(T(x,R(x,y,z) * (x \ u)),(R(x,y,z) \ w) \ u) = K(x,T(w \ (R(x,y,z) * u),u)). [hyper(272,a,5242,a(flip),b,10167,a),flip(a)]. 10170 K(T(x,R(x,y,z) * (x \ u)),(R(x,y,z) \ w) \ u) = K(x,(R(x,y,z) * u) / w). [hyper(272,a,7525,a(flip),b,10168,a),flip(a)]. 10171 K(x,T((R(x,y,z) \ u) \ w,R(x,y,z) * w)) = K(x,(R(x,y,z) * w) / u). [hyper(7942,a,10170,a)]. 10172 K(x,T((R(x,y,z) \ u) \ w,w)) = K(x,(R(x,y,z) * w) / u). [hyper(58,a,7524,a(flip),b,10171,a)]. 10174 K(x,(R(x,y,z) * u) / w) = K(x,u / (R(x,y,z) \ w)). [hyper(58,a,4456,a(flip),b,10172,a),flip(a)]. 10175 K(x,R(x,y,z) / (u / w)) = K(x,w / (R(x,y,z) \ u)). [hyper(58,a,7842,a(flip),b,10174,a)]. 10176 K(x,y / (R(x,z,u) \ w)) = K(x,(w / y) \ R(x,z,u)). [hyper(58,a,5311,a(flip),b,10175,a),flip(a)]. 10177 K(x,(y * R(x,z,u)) / w) = K(x,(w / y) \ R(x,z,u)). [hyper(58,a,7526,a,b,10176,a)]. 10178 K(R(x,K(y * z,x) * y,z),u \ x) = K(x,(((u * y) * z) / (y * z)) \ R(x,y,z)). [hyper(58,a,7677,a,b,10177,a)]. 10179 K(R(x,K(y * z,x) * y,z),u \ x) = K(x,R(u,y,z) \ R(x,y,z)). [para(15(a,2),10178(a,2,2,1))]. 10180 K(x,R(y,z,u) \ R(x,z,u)) = K(R(x,z,u),y \ x). [hyper(58,a,7371,a(flip),b,10179,a),flip(a)]. 10181 K(R(x,y,z),u \ x) = K(x,R(u,y,z) \ x). [hyper(9570,a,10180,a),flip(a)]. 10183 K(x,R(R(x / y,y,L(K(z,x),u,w)),v5,v6) \ x) = K(R(x,v5,v6),y). [hyper(58,a,7691,a(flip),b,10181,a),flip(a)]. 10184 R(R(K(x,y),y,L(K(z,x),u,w)),v5,v6) = K(R(x,v5,v6),y). [hyper(58,a,9575,a(flip),b,10183,a)]. 10185 R(K(x,y),z,u) = K(R(x,z,u),y). [para(2147(a,1),10184(a,1,1))]. 10186 R(K(x,y),z,u) \ 1 = K(y,R(x,z,u)). [para(10185(a,2),2878(a,1,1))]. 10187 R(K(x,y),z,u) = K(x,R(y,z,u)). [hyper(7321,a,10186,a)]. 10188 K(x,R(y,z,u)) * 1 = R(K(x,y),z,u). [hyper(272,a,3,a,b,10187,a)]. 10189 K(R(x,y,z),u) = K(x,R(u,y,z)). [hyper(58,a,10185,a(flip),b,10187,a)]. 10190 K(x / (y / z),R(u,x,z)) = K((x * z) / y,u). [hyper(58,a,6250,a(flip),b,10187,a),flip(a)]. 10191 K(x,R(y \ R(y,z,u),y,w)) = K(x,y \ R(y,z,u)). [hyper(7685,a,10189,a),flip(a)]. 10192 R(K(x,y),z,u) != w | K(x,R(y,z,u)) = w. [para(10188(a,1),119(a,1)),flip(b)]. 10193 K(x * y,R(z,x,y)) = K((x * y) / 1,z). [hyper(58,a,6093,a(flip),b,10190,a)]. 10194 K(x * y,R(z,x,y)) = K(x * y,z). [para(70(a,1),10193(a,2,1))]. 10195 ((x * y) * z) * K(y * z,x) = (y * z) * R(x,y,z). [para(10194(a,1),456(a,1,2))]. 10196 ((x * y) * z) * a(z,x,y) = (x * y) * R(z,x,y). [hyper(58,a,9559,a(flip),b,10195,a)]. 10197 K(x,y) * R(K(y,x),z,u) = a(K(y,x),z,u). [hyper(6893,a,10196,a)]. 10198 ((x * y) * z) * a(z,x,y) != (x * y) * u | R(z,x,y) = u. [para(10196(a,2),38(a,1))]. 10199 K(x,y) * a(K(x,y),z,u) = R(K(x,y),z,u). [hyper(3894,a,10197,a)]. 10200 K(x,y) * K(y,R(x,z,u)) = a(K(y,x),z * x,u). [para(7358(a,1),10197(a,1,2))]. 10201 K(x,y) * K(y,R(x,z,u)) = a(K(y,x),z,u). [para(10187(a,1),10197(a,1,2))]. 10202 K(x * y,x * R(y,z,u)) = a(K(x,y),z * y,u). [hyper(58,a,10088,a,b,10200,a)]. 10203 a(K(x,y),z * y,u) = a(K(x,y),z,u). [hyper(58,a,10201,a(flip),b,10200,a),flip(a)]. 10204 K(x,(x / y) * R(y,z,u)) = a(K(x / y,y),z * y,u). [para(7(a,1),10202(a,1,1))]. 10205 K(x,x * (y \ R(y,z,u))) = a(K(x / y,y),z * y,u). [hyper(58,a,8172,a(flip),b,10204,a)]. 10206 K(x,x * (y \ R(y,z,u))) = a(K(y \ x,y),z * y,u). [para(2893(a,1),10205(a,2,1))]. 10207 K(x,x * (y \ R(y,z,u))) = a(K(x,y),z * y,u). [hyper(272,a,9587,a(flip),b,10206,a),flip(a)]. 10208 (x * K(y \ R(y,z,u),x)) \ L(x,y \ R(y,z,u),x) = a(K(x,y),z * y,u). [hyper(58,a,4586,a,b,10207,a)]. 10209 (x * K(y \ R(y,z,u),x)) \ L(x,a(y,z,u),x) = a(K(x,y),z * y,u). [para(8808(a,1),10208(a,1,2))]. 10210 K(x,y \ R(y,z,u)) * (x \ L(x,a(y,z,u),x)) = a(K(x,y),z * y,u). [hyper(4292,a,10209,a)]. 10211 ((1 / x) / y) * ((x \ (y \ 1)) * T(T(z,(x \ (y \ 1)) \ 1),y * x)) = ((x \ (y \ 1)) \ 1) \ (((x \ (y \ 1)) \ 1) \ z). [para(4894(a,1),6177(a,1,1))]. 10212 ((1 / x) / y) * ((x \ (y \ 1)) * T(T(z,(y \ 1) \ x),y * x)) = ((x \ (y \ 1)) \ 1) \ (((x \ (y \ 1)) \ 1) \ z). [para(4459(a,1),10211(a,1,2,2,1))]. 10213 ((1 / x) / y) * ((x \ (y \ 1)) * T(T(z,y * x),y * x)) = ((x \ (y \ 1)) \ 1) \ (((x \ (y \ 1)) \ 1) \ z). [para(5983(a,1),10212(a,1,2,2,1))]. 10214 ((x \ (y \ 1)) \ 1) \ (((x \ (y \ 1)) \ 1) \ z) = ((1 / x) / y) * ((x \ (y \ 1)) * z). [para(2765(a,1),10213(a,1,2,2)),flip(a)]. 10215 x * (1 \ ((1 / (y \ (z \ 1))) \ (y \ (z \ 1)))) = ((1 / y) / z) * ((y \ (z \ 1)) * x). [hyper(58,a,4990,a(flip),b,10214,a)]. 10216 x * (1 \ ((((1 / y) / z) \ 1) \ (y \ (z \ 1)))) = ((1 / y) / z) * ((y \ (z \ 1)) * x). [para(4902(a,1),10215(a,1,2,2,1))]. 10217 ((1 / x) / y) * ((x \ (y \ 1)) * z) = z * (1 \ (x \ (y \ ((y * x) \ 1)))). [para(7622(a,1),10216(a,1,2,2)),flip(a)]. 10218 ((1 / x) / y) * ((x \ (y \ 1)) * z) = z * (x \ (y \ ((y * x) \ 1))). [para(60(a,1),10217(a,2,2))]. 10219 ((1 / x) / y) * ((x \ (y \ 1)) * z) = (x * y) \ ((x * y) \ z). [hyper(272,a,5890,a(flip),b,10218,a),flip(a)]. 10220 (T(x \ 1,y) \ (1 / T(x \ 1,y))) * ((T(x \ 1,y) \ 1) * (z / (T(x \ 1,y) \ 1))) = (T(1 / x,y) \ z) * (T(x \ 1,y) \ 1). [para(684(a,1),5447(a,1,1))]. 10221 (T(x \ 1,y) \ (T(1 / x,y) \ 1)) * ((T(x \ 1,y) \ 1) * (z / (T(x \ 1,y) \ 1))) = (T(1 / x,y) \ z) * (T(x \ 1,y) \ 1). [para(1613(a,1),10220(a,1,1,2))]. 10222 (x * (x * 1)) * ((T(x \ 1,y) \ 1) * (z / (T(x \ 1,y) \ 1))) = (T(1 / x,y) \ z) * (T(x \ 1,y) \ 1). [para(7183(a,1),10221(a,1,1))]. 10223 (x * x) * ((T(x \ 1,y) \ 1) * (z / (T(x \ 1,y) \ 1))) = (T(1 / x,y) \ z) * (T(x \ 1,y) \ 1). [para(3(a,1),10222(a,1,1,2))]. 10225 (x * x) * (T(x \ 1,y) * (z * (1 / T(x \ 1,y)))) = (T(1 / x,y) \ z) * (T(x \ 1,y) \ 1). [para(4535(a,1),10223(a,1,2))]. 10226 (x * x) * (T(x \ 1,y) * (z * (T(1 / x,y) \ 1))) = (T(1 / x,y) \ z) * (T(x \ 1,y) \ 1). [para(1613(a,1),10225(a,1,2,2,2))]. 10227 (T(1 / x,y) \ z) * (T(x \ 1,y) \ 1) = (x * x) * (T(x,y) * (z / T(x,y))). [para(8896(a,1),10226(a,1,2)),flip(a)]. 10228 (T(1 / x,y) \ z) * (T(x \ 1,y) \ 1) = ((T(x,y) \ 1) \ z) * T(x,y). [hyper(272,a,7101,a(flip),b,10227,a),flip(a)]. 10229 (((T(x \ 1,y) \ 1) \ 1) \ z) * (u * (T(x \ 1,y) \ 1)) = ((T(x,y) \ 1) \ (z * u)) * T(x,y). [hyper(58,a,7559,a,b,10228,a)]. 10230 (((T(x \ 1,y) \ 1) \ 1) \ z) * (u * (T(x \ 1,y) \ 1)) = ((T(x,y) \ 1) \ z) * (u * T(x,y)). [hyper(272,a,7558,a(flip),b,10229,a),flip(a)]. 10231 (T(1 / x,y) \ z) * (u * (T(x \ 1,y) \ 1)) = ((T(x,y) \ 1) \ z) * (u * T(x,y)). [para(5438(a,1),10230(a,1,1,1))]. 10232 (((T(x,y) \ 1) \ 1) * (z * T(x,y))) \ 1 = T(1 / x,y) * (z \ T(1 / x,y)). [para(10231(a,1),7676(a,1,1))]. 10233 T(1 / x,y) * (z \ T(1 / x,y)) = ((z * T(x,y)) \ 1) / T(x,y). [hyper(58,a,4172,a(flip),b,10232,a),flip(a)]. 10234 T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = (y \ T(y * (x \ 1),y)) * R((y \ T(y * (x \ 1),y)) \ 1,z,u). [para(6663(a,1),6683(a,2,2,1,1))]. 10235 T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = y \ (T(y * (x \ 1),y) * R(T(y * (x \ 1),y) \ y,z,u)). [hyper(272,a,1401,a(flip),b,10234,a),flip(a)]. 10236 T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = y \ T((y * (x \ 1)) * R((y * (x \ 1)) \ y,z,u),y). [para(1659(a,1),10235(a,2,2))]. 10237 T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = y \ T(y * ((x \ 1) * R((x \ 1) \ 1,z,u)),y). [para(781(a,1),10236(a,2,2,1))]. 10238 T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = y \ T(y * (x \ R(x,z,u)),y). [para(987(a,1),10237(a,2,2,1,2))]. 10239 T(x \ (a(y,x \ 1,y) * R(a(y,x \ 1,y) \ x,z,u)),y) = y \ T(y * (x \ R(x,z,u)),y). [para(1401(a,1),10238(a,1,1))]. 10240 T(x \ R(a(y,x \ 1,y) * (a(y,x \ 1,y) \ x),z,u),y) = y \ T(y * (x \ R(x,z,u)),y). [para(8792(a,2),10239(a,1,1,2))]. 10241 x \ T(x * (y \ R(y,z,u)),x) = T(y \ R(y,z,u),x). [para(5(a,1),10240(a,1,1,2,1)),flip(a)]. 10242 R(x,y \ R(y,z,u),x) = x. [hyper(1097,a,10241,a)]. 10243 L(x,y \ R(y,z,u),x) = x. [hyper(2331,a,10242,a)]. 10244 L(x,a(y,z,u),x) = x. [hyper(58,a,8808,a(flip),b,10243,a)]. 10245 1 / a(x,y,z) = a(x,y,z) \ 1. [hyper(1950,a,10244,a)]. 10247 a(x,a(y,z,u),x) = 1. [hyper(48,a,10244,a)]. 10248 x * a(y,a(z,u,w),y) = x. [hyper(114,a,10247,a,b,61,a)]. 10249 a(x,a(y,z,u),x) \ w = w. [para(10247(a,2),60(a,1,1))]. 10250 (x \ 1) * a(y,z,u) = x \ a(y,z,u). [para(10247(a,1),6795(a,1,1,2))]. 10251 K(a(x,y,z),x * (y * z)) * (1 * u) = K((x * y) * z,x * (y * z)) * u. [para(10247(a,1),6681(a,1,2,1))]. 10252 K(x,x * a(y,z,u)) = K(x,a(y,z,u)). [hyper(58,a,6621,a(flip),b,10248,a),flip(a)]. 10253 x * (y \ L(y,a(z,u,w),y)) = x. [hyper(58,a,6668,a,b,10249,a)]. 10254 a(x,a(y,z,u),x) != w | 1 = w. [para(10249(a,1),246(a,1))]. 10255 (a(x,y,z) \ 1) * y = y / a(x,y,z). [para(10245(a,1),7093(a,1,1))]. 10256 a(K(x,y),z * y,u) = K(x,y \ R(y,z,u)). [hyper(58,a,10210,a(flip),b,10253,a)]. 10258 a(x,x,y) * (z \ a(x,x,y)) = z \ 1. [hyper(5678,a,10250,a)]. 10259 (1 / x) \ a(y,z,u) = x * a(y,z,u). [hyper(533,a,10250,a),flip(a)]. 10260 T(x \ 1,a(y,z,u)) = T(x,a(y,z,u)) \ 1. [hyper(215,a,10250,a,b,3006,a)]. 10261 (a(x,y,z) * u) \ a(x,y,z) = u \ 1. [hyper(30,a,3299,a,b,10250,a)]. 10262 (a(x,y,z) \ u) \ 1 = u \ a(x,y,z). [hyper(30,a,3295,a(flip),b,10250,a),flip(a)]. 10263 L(a(x,y,z),u,u) = a(x,y,z). [hyper(29,a,6185,a,b,10250,a)]. 10264 L(x,x,a(y,z,u)) = x. [hyper(6129,a,10250,a(flip))]. 10265 1 / (x \ a(y,z,u)) = a(y,z,u) \ x. [hyper(4168,a,10250,a(flip))]. 10268 a(x,y,z) / (u \ 1) = a(x,y,z) * u. [hyper(114,a,10264,a(flip),b,5083,a(flip)),flip(a)]. 10269 x * L(L(L(x,y,y) \ 1,z,u),y,y) = a(L(x,y,y),u,z). [hyper(58,a,5954,a,b,10263,a)]. 10270 a(x,y,z) / (u * a(x,y,z)) = 1 / u. [hyper(113,a,10263,a(flip),b,3118,a)]. 10271 L(L(a(x,y,z),u,w),v5,v5) = L(a(x,y,z),u,w). [para(10263(a,1),25(a,1,1)),flip(a)]. 10272 (x * (a(y,z,u) * w)) / w = w * ((w \ x) * a(y,z,u)). [para(10263(a,1),2027(a,1,2,2)),flip(a)]. 10273 L(a(x,y,z) * u,w,w) = a(x,y,z) * L(u,w,w). [para(10263(a,1),5939(a,1,1)),flip(a)]. 10274 a(x,y,K(z,u)) = K(z,a(x,y,u)). [hyper(58,a,9448,a(flip),b,10252,a)]. 10275 (x * y) * a(z,u,K(y,w)) = x * T(y,a(z,u,w)). [hyper(114,a,10274,a,b,3674,a)]. 10276 x * a(y,z,K(x,u)) = T(x,a(y,z,u)). [hyper(114,a,10274,a,b,2672,a(flip))]. 10277 a(x,y,K(z,u)) = K(u,a(x,y,z)). [para(28(a,1),10274(a,1,3))]. 10278 a(x,y,K(z,u)) * a(x,y,u) = T(a(x,y,u),z). [para(10274(a,2),2692(a,2,1)),flip(a)]. 10279 x * a(y,z,K(x,u)) != w | T(x,a(y,z,u)) = w. [para(10274(a,2),2737(a,1,2))]. 10280 x * (T(x,a(y,z,u)) \ w) = a(y,z,K(x,u)) * w. [para(10274(a,2),3946(a,2,1))]. 10281 (x * y) * a(z,u,K(y,w)) != v5 | x * T(y,a(z,u,w)) = v5. [para(10274(a,2),3692(a,1,2))]. 10282 a(x,y,K(z,u)) = K(a(x,y,z),u). [hyper(272,a,28,a,b,10277,a),flip(a)]. 10283 x * a(y,z,K(u,x)) = T(x,a(y,z,u)). [hyper(114,a,10277,a,b,2672,a(flip))]. 10284 a(x,y,K(z,u)) != w | K(a(x,y,z),u) = w. [para(10277(a,2),508(a,1))]. 10285 a(x,y,K(z,u)) * a(x,y,z) = T(a(x,y,z),u). [para(10277(a,2),2692(a,2,1)),flip(a)]. 10286 a(x,y,K(z,u)) * a(x,y,z) != w | T(a(x,y,z),u) = w. [para(10277(a,2),3085(a,1,1))]. 10287 L(x,y,z) * a(1 / x,z,K(y,u)) = x * T(a(1 / x,z,y),u). [para(10277(a,2),3666(a,1,2))]. 10288 K(x,y) * K(y,L(x,z,u)) = K(a(u,z,x),y). [hyper(8256,a,10282,a)]. 10289 K(a(x,y,z),u \ 1) = a(x,y,K(z,u)). [hyper(58,a,9390,a(flip),b,10282,a),flip(a)]. 10290 a(x,y,K(z,u)) * T(T(a(x,y,z),u),w) = T(a(x,y,z),T(w,u)). [para(10282(a,2),5429(a,1,1))]. 10291 a(1 / x,y,K(z,u)) * T(x,a(1 / x,y,z)) = T(a(1 / x,y,z),u) \ L(x,z,y). [para(10282(a,2),4079(a,1,1))]. 10292 (x \ a(y,y,z)) \ 1 = (x \ 1) \ a(y,y,z). [hyper(3467,a,10258,a),flip(a)]. 10293 (a(x,y,z) \ 1) * (u \ 1) = (u * a(x,y,z)) \ 1. [para(10259(a,1),3733(a,1,1)),flip(a)]. 10295 (x \ 1) * a(y,z,u) != w | x \ a(y,z,u) = w. [para(10261(a,1),3319(a,1,1))]. 10296 (x * a(y,y,z)) \ 1 = x \ a(y,y,z). [para(5676(a,1),10261(a,1,1)),flip(a)]. 10297 T(a(x,y,z) \ u,w) \ w = w * (u \ a(x,y,z)). [hyper(114,a,10262,a(flip),b,2934,a),flip(a)]. 10298 (a(x,y,z) \ u) \ T(w,a(x,y,z) \ u) = w * (u \ a(x,y,z)). [para(10262(a,1),2789(a,2,2))]. 10299 (a(x,y,z) \ u) * (w / (a(x,y,z) \ u)) = (u \ a(x,y,z)) * (w * (a(x,y,z) \ u)). [para(10262(a,1),3541(a,1,1)),flip(a)]. 10300 (x * (L(x,y,z) \ u)) \ 1 = u \ a(x \ 1,z,y). [para(8310(a,1),10262(a,1,1))]. 10302 T(a(x,y,z) \ u,u) = u / a(x,y,z). [para(10265(a,1),3030(a,1,1))]. 10303 T(a(x,y,z),u \ 1) = T(a(x,y,z),u). [hyper(215,a,10268,a(flip),b,2779,a),flip(a)]. 10305 1 / (a(x,x,y) * z) = a(x,x,y) / z. [para(5677(a,1),10270(a,1,2)),flip(a)]. 10306 T(x,a(y,z,u \ (u \ 1))) = x * a(y,z,a(x,u,u)). [para(4405(a,1),10276(a,1,2,3)),flip(a)]. 10307 T(x,a(y,z / u,u)) = x * a(y,z,K(x,u)). [para(8258(a,1),10276(a,1,2)),flip(a)]. 10308 a(x,x,y) * (T(z,u \ a(x,x,y)) * u) = (1 / (u * a(x,x,y))) \ z. [para(10296(a,1),8384(a,1,2,1,2))]. 10309 1 / (x * a(y,y,z)) = a(y,y,z) / x. [para(5594(a,1),10305(a,1,2))]. 10311 K(x,y) * (K(y,L(x,z,u)) * w) = K(a(u,z,x),y) * w. [para(10288(a,1),6381(a,1,1)),flip(a)]. 10312 a(x \ 1,y,K(z,u)) * (x \ L(x,u,y)) = T(a(x \ 1,y,u),z). [para(1181(a,1),10278(a,1,2))]. 10313 T(x,a(y,z / u,u)) != w | T(x,a(y,z,u)) = w. [para(10307(a,2),10279(a,1))]. 10315 (x \ (y \ x)) * a(z,u,w) != v5 | T(y,x) \ a(z,u,w) = v5. [para(2999(a,1),10295(a,1,1))]. 10316 a(x,y,z) * (u * a(u,w,w)) = L(a(x,y,z) * u,w,w). [para(4247(a,2),10273(a,2,2)),flip(a)]. 10317 T(x,a(y,z,u \ (u \ 1))) = x * 1. [para(8340(a,1),10306(a,2,2))]. 10318 T(x,a(y,z,u \ (u \ 1))) = x. [hyper(272,a,3,a(flip),b,10317,a),flip(a)]. 10319 T(x,a(y,z,u \ (u \ 1))) != w | x = w. [para(10317(a,2),120(a,1))]. 10321 (x * (y * a(y,z,u))) / y = y * ((y \ x) * a(y,z,u)). [para(1189(a,1),10272(a,1,1,2))]. 10322 x * ((x \ y) * a(x \ 1,z,u)) = (y * L(x,u,z)) / x. [para(2505(a,2),10272(a,1,1,2)),flip(a)]. 10323 K(a(x,y,z),u) * (K(z,L(u,y,x)) * w) = K(z,u) * w. [para(8249(a,1),10311(a,1,2)),flip(a)]. 10324 (a(x,y,z) * u) * a(u,w,w) = L(a(x,y,z) * u,w,w). [hyper(58,a,8353,a,b,10316,a)]. 10325 (a(x,y,z) * u) * a(w,w,u) = L(a(x,y,z) * u,w,w). [para(4244(a,1),10324(a,1,2))]. 10326 a(x,x,a(y,z,u) * w) = a(x,x,w). [hyper(29,a,4213,a,b,10325,a)]. 10327 a(x,x,L(y,z,u)) = a(x,x,y). [para(2505(a,2),10326(a,1,3))]. 10328 a(x,x,L(y,z,u)) = a(y,x,x). [hyper(272,a,4244,a,b,10327,a),flip(a)]. 10329 (x \ a(x,x,y)) * L(y,z,u) = x \ L(y,z,u). [para(10327(a,1),5671(a,1,1,2))]. 10330 a(x,y,y) * (z * L(x,u,w)) = z * L(L(x,u,w),y,y). [para(10328(a,1),8385(a,1,1))]. 10332 a(L(x,y,y),z,u) = x * L(x \ 1,u,z). [para(3804(a,1),10269(a,1,2)),flip(a)]. 10333 a(L(x,y,y),z,u) = a(x,z,u). [hyper(272,a,1178,a,b,10332,a),flip(a)]. 10335 a((x \ 1) \ y,z,u) = a(x * y,z,u). [para(2002(a,1),10333(a,1,1))]. 10336 a(x * (y \ 1),z,u) = a(x / y,z,u). [para(3112(a,1),10333(a,1,1)),flip(a)]. 10337 a(x * (1 / y),z,u) = a(x / y,z,u). [hyper(58,a,2595,a,b,10336,a)]. 10338 a(x / ((y \ 1) \ 1),z,u) = a(x * (1 / y),z,u). [para(2826(a,1),10336(a,1,1,2)),flip(a)]. 10339 a(x * (y \ (1 / x)),z,u) = a(x / (x * y),z,u). [hyper(58,a,6415,a(flip),b,10337,a)]. 10340 a(x / (y \ 1),z,u) = a(x * y,z,u). [para(72(a,1),10337(a,1,1,2)),flip(a)]. 10341 a((x \ 1) * (1 / y),z,u) = a((y * x) \ 1,z,u). [para(4161(a,1),10338(a,1,1)),flip(a)]. 10342 a((x / (1 / y)) \ 1,z,u) = a((x * y) \ 1,z,u). [hyper(58,a,4175,a,b,10341,a)]. 10343 a(x,x,y) * (T(z,u \ 1) * u) = (1 / (u * a(x,x,y))) \ z. [para(8455(a,1),10308(a,1,2,1))]. 10344 (1 / (x * a(y,y,z))) \ u = a(y,y,z) * ((1 / x) \ u). [para(1972(a,1),10343(a,1,2)),flip(a)]. 10346 a(x,x,y) * ((1 / z) \ u) = (a(x,x,y) / z) \ u. [para(10309(a,1),10344(a,1,1)),flip(a)]. 10347 ((1 / x) \ y) * a(z,z,u) = (a(z,z,u) / x) \ y. [hyper(5596,a,10346,a)]. 10348 (a(x,x,y) / (z \ 1)) \ u = (z \ u) * a(x,x,y). [para(72(a,1),10347(a,1,1,1)),flip(a)]. 10349 (a(x,x,y) * z) \ u = (z \ u) * a(x,x,y). [para(10268(a,1),10348(a,1,1))]. 10350 (a(x,x,y) * z) \ y = z \ L(y,x,x). [hyper(272,a,8373,a(flip),b,10349,a),flip(a)]. 10351 (a(x,y,y) * z) \ x = z \ L(x,y,y). [para(4244(a,2),10350(a,1,1,1))]. 10352 (a(x,y,y) * y) \ x = (y \ 1) * x. [hyper(272,a,2969,a(flip),b,10351,a),flip(a)]. 10353 L(x,y,x) \ y = (x \ 1) * y. [para(3809(a,1),10352(a,1,1))]. 10354 L(x,y,x) = L(x,x,y). [hyper(6129,a,10353,a),flip(a)]. 10355 x * a(y,x,x) = L(x,x,y). [hyper(5735,a,10354,a)]. 10356 L(x \ 1,y,x \ 1) = L(x,x,y) \ 1. [hyper(272,a,5085,a(flip),b,10354,a),flip(a)]. 10357 L(x,y,x) = y \ (y / (x \ 1)). [hyper(272,a,5083,a(flip),b,10354,a),flip(a)]. 10358 (x \ 1) \ a(x,x,y) = L(x,x,x \ y). [hyper(58,a,4847,a,b,10354,a)]. 10359 x * a(x,x,y) = L(x,x,y). [hyper(58,a,4248,a,b,10354,a)]. 10360 x \ L(x,x,y) = a(x,x,y). [hyper(112,a,10354,a(flip),b,4248,a)]. 10361 x * L(x,x,y) = T(x * x,y). [para(10354(a,1),4251(a,1,2))]. 10362 L(L(x,x,y),x,x) = (x \ 1) \ a(x,x,y). [para(10354(a,1),4252(a,1,1))]. 10363 (1 / x) \ L(x,x,y) = T((1 / x) \ x,y). [para(10354(a,1),4253(a,1,2))]. 10364 (x * x) \ L(x,x,y) = a(x,x,y) / x. [para(10354(a,1),4778(a,1,2))]. 10365 a(x,y,y) * (y \ z) = L(y,y,x) \ z. [para(10354(a,1),6798(a,2,1))]. 10366 L(L(x,y,z),u,L(x,w,v5)) = L(L(x,x,u),y,z). [para(10354(a,1),8213(a,2,1))]. 10367 a(x,x,y) * (z * x) = z * L(x,x,y). [para(10354(a,1),8386(a,2,2))]. 10368 R(x,y,L(z,z,u) \ w) = R(x,y,z \ w). [para(10354(a,1),8746(a,1,3,1))]. 10369 L(x,y,L(z,z,u)) = L(x,y,z). [para(10354(a,1),8925(a,1,3))]. 10370 a(L(x,x,y),z,u) = a(x,z,u). [para(10354(a,1),9586(a,1,1))]. 10371 L(x,y,T(x \ 1,z)) = L(x,x,y). [hyper(58,a,8426,a,b,10355,a)]. 10372 a(x,x,y) * (x * z) = L(x,x,y) * z. [para(10359(a,1),8389(a,1,1)),flip(a)]. 10373 L(x,y,z) * a(x,x,u) = L(L(x,x,u),y,z). [para(10359(a,1),8738(a,1,1)),flip(a)]. 10374 (x / y) * a(y,y,z) = x / L(y,y,z). [para(10359(a,1),9464(a,1,2)),flip(a)]. 10375 a(x,x,L(y,z,u)) = x \ L(x,x,y). [hyper(272,a,10327,a,b,10360,a)]. 10378 L(x \ y,y,x \ y) = (y \ x) \ 1. [hyper(272,a,3513,a(flip),b,10357,a),flip(a)]. 10379 x * L(x,x,x * y) = T(x * x,x \ y). [hyper(272,a,4656,a,b,10361,a),flip(a)]. 10381 (L(x,x,y) * z) * L(u,z,x) != w | L(x,x,y) * (z * u) = w. [para(10369(a,1),251(a,1,2))]. 10382 K(x,L(L(y,y,z) \ 1,u,w) \ 1) = K(x,a(y,w,u) \ y). [para(10370(a,1),9631(a,2,2,1))]. 10383 R(x,y,T(L(z,z,z) \ 1,u) \ w) = R(x,y,T(z \ 1,u) \ w). [para(10371(a,1),8762(a,1,3,1,1,1))]. 10384 L(x,x,L(y,z,u)) = L(x,x,y). [hyper(33,a,10360,a,b,10375,a(flip))]. 10385 R(x,(y \ z) \ 1,u) = R(x,z \ y,u). [para(10378(a,1),9350(a,1,2))]. 10386 a((x \ y) \ 1,z,u) = a(y \ x,z,u). [para(10378(a,1),9586(a,1,1))]. 10387 ((L(x,x,y) \ 1) \ 1) \ 1 = L(1 / x,y,x \ 1). [para(10356(a,1),4953(a,1,1,1))]. 10388 (x \ a(x,x,y)) \ 1 = L(x,x,x \ y). [hyper(58,a,10292,a,b,10358,a)]. 10389 T(L(x,x,y),x * x) * ((x * x) \ 1) = a(x,x,y) / x. [hyper(3607,a,10364,a)]. 10390 a(x,x,y) * (x \ z) = L(x,x,y) \ z. [para(4244(a,1),10365(a,1,1))]. 10391 R(x,L(y,y,z) \ u,w) = R(x,y \ u,w). [para(10365(a,1),9347(a,1,2))]. 10392 (x / y) * L(y,y,z) = a(y,y,z) * x. [para(7(a,1),10367(a,1,2)),flip(a)]. 10393 a(x,x,y) * (z * (u * x)) = z * (u * L(x,x,y)). [para(10367(a,1),8383(a,2,2))]. 10394 x * (y * a(x,x,z)) = L(x,x,z) * y. [hyper(58,a,8372,a(flip),b,10372,a)]. 10395 x \ (L(x,x,y) * z) = z * a(x,x,y). [hyper(112,a,10372,a(flip),b,8372,a(flip))]. 10396 T(x,y * (L(z,z,u) * w)) = T(x,y * (z * w)). [para(10372(a,1),8462(a,1,2,2))]. 10397 R(x,(y \ z) \ z,u) = R(x,T(y,z),u). [hyper(58,a,3046,a(flip),b,10385,a),flip(a)]. 10398 R(x,T(y,z) \ 1,u) = R(x,(y * z) \ z,u). [para(17(a,2),10385(a,1,2,1))]. 10399 R(x,(y \ 1) * T(z \ 1,u),w) = R(x,y \ T(1 / z,u),w). [para(4101(a,1),10385(a,1,2))]. 10400 (x \ y) \ L(x \ y,z,u) = a(y \ x,u,z). [hyper(1187,a,10386,a)]. 10401 a((x * y) \ x,z,u) = a(y \ 1,z,u). [para(4(a,1),10386(a,1,1,1)),flip(a)]. 10402 L(x \ y,z,u) \ (x \ y) = a(y \ x,u,z) \ 1. [para(10386(a,1),2533(a,2,1))]. 10403 a(x * ((y \ 1) \ 1),z,u) = a((1 / x) \ y,z,u). [para(4097(a,1),10386(a,1,1))]. 10404 a(x,x,y) * (z * (x \ u)) = z * (L(x,x,y) \ u). [para(10390(a,1),8383(a,2,2))]. 10405 a(x,x,y) * ((x \ z) * u) = (L(x,x,y) \ z) * u. [para(10390(a,1),8392(a,1,1)),flip(a)]. 10406 L(x,L(y,y,z) \ u,w) != v5 | L(x,y \ u,w) = v5. [para(10390(a,1),9230(a,1,2))]. 10407 (L(x,x,y) * z) * L(u,z * a(x,x,y),x) = x * ((z * a(x,x,y)) * u). [para(10394(a,1),87(a,1,1))]. 10408 L(x,x,y) * (z / x) = x * (z / L(x,x,y)). [para(10374(a,1),10394(a,1,2)),flip(a)]. 10409 x \ (y * T(x * x,z)) = L(x,x,z) * y. [hyper(4837,a,10395,a)]. 10410 R(x,T(y \ z,z),u) = R(x,z / y,u). [para(2826(a,1),10397(a,1,2)),flip(a)]. 10411 a((x / y) \ 1,z,u) = a(y / x,z,u). [para(3309(a,1),10401(a,1,1)),flip(a)]. 10412 R(x,y / (z / y),u) = R(x,z \ (y * y),u). [para(3770(a,1),10410(a,1,2)),flip(a)]. 10413 a((1 / x) / y,z,u) = a((y * x) \ 1,z,u). [hyper(58,a,10342,a(flip),b,10411,a),flip(a)]. 10414 L(x / y,z,u) \ (x / y) = a(y / x,u,z) \ 1. [para(10411(a,1),2533(a,2,1))]. 10415 L(L(x,x,y),x,x) = L(x,x,x \ y). [hyper(272,a,10358,a(flip),b,10362,a),flip(a)]. 10416 R(x,y,(z * u) \ z) = R(x,y,u \ 1). [para(5080(a,1),10368(a,1,3))]. 10417 R(x,y,z \ (z / u)) = R(x,y,u \ 1). [para(7(a,1),10416(a,1,3,1))]. 10418 R(x,y,(z / u) \ 1) = R(x,y,u / z). [para(3309(a,1),10416(a,1,3)),flip(a)]. 10419 R(x,y,z / (u * z)) = R(x,y,u \ 1). [para(3305(a,2),10417(a,1,3))]. 10420 R(x,y,T(z \ u,u)) = R(x,y,u / z). [para(2768(a,2),10418(a,1,3))]. 10421 L(x,(y \ z) * (y \ 1),y) = R(x,y,z \ 1). [hyper(58,a,8891,a,b,10419,a)]. 10422 L(x,x,x \ y) = L(x,x,x * y). [hyper(29,a,10361,a,b,10379,a)]. 10423 (x \ a(x,x,y)) \ 1 = L(x,x,x * y). [hyper(58,a,10388,a,b,10422,a)]. 10424 (x \ a(y,x,x)) \ 1 = L(x,x,x * y). [para(4244(a,2),10423(a,1,1,2))]. 10425 (x \ a(x,y,x \ 1)) \ 1 = L(x,x,x * y). [para(5668(a,2),10424(a,1,1,2))]. 10426 R(x,(y \ 1) * z,u) = R(x,y \ z,u). [para(6128(a,1),10391(a,1,2))]. 10427 R(x,(y \ 1) / z,u) = R(x,y \ (z \ 1),u). [hyper(58,a,9352,a(flip),b,10426,a)]. 10428 x * (L(x,x,y) * z) = z * T(x * x,y). [hyper(127,a,10409,a)]. 10429 L(x,x,y) * (x * z) = z * T(x * x,y). [hyper(58,a,1270,a,b,10428,a)]. 10430 a(x,x,y) * (x * (x * z)) = z * T(x * x,y). [hyper(58,a,10372,a,b,10429,a)]. 10431 L(x,y,x) * (x * z) = z * T(x * x,y). [para(10354(a,2),10429(a,1,1))]. 10432 L(x,y,y) * T((y \ 1) * (y \ 1),z) = L(y \ 1,z,y \ 1) * (y \ x). [para(2030(a,1),10431(a,1,2)),flip(a)]. 10433 T(x,y * T(z * z,u)) = T(x,z * (z * y)). [para(10431(a,1),8450(a,1,2))]. 10434 a(x,x,y) * L(x,z,u) = L(L(x,x,y),z,u). [hyper(5595,a,10373,a)]. 10436 R(x,(y * z) \ z,u) = R(x,z \ (y \ z),u). [para(2999(a,1),10398(a,1,2)),flip(a)]. 10437 (x \ 1) * L(x,x,y) = x * (1 / L(x,x,y)). [hyper(3454,a,10408,a)]. 10438 L(x \ 1,x \ 1,y) * (x / (x \ 1)) = x * ((1 / x) / L(x \ 1,x \ 1,y)). [hyper(272,a,4639,a(flip),b,10408,a),flip(a)]. 10439 R(x,y \ (z * z),u) = R(x,z * (z / y),u). [para(3322(a,1),10412(a,1,2)),flip(a)]. 10440 a((x * y) \ 1,z,u) = a(y \ (x \ 1),z,u). [hyper(58,a,4900,a(flip),b,10413,a),flip(a)]. 10442 L(x,y \ (z / y),y) = R(x,y,z \ 1). [para(684(a,1),10421(a,1,2))]. 10443 L(x,y \ (y \ z),y) = R(x,y,z \ 1). [hyper(58,a,9234,a(flip),b,10442,a)]. 10444 (x \ a(x,y,x \ 1)) \ 1 = x * a(x,x,x * y). [hyper(272,a,10359,a,b,10425,a),flip(a)]. 10445 R(x,y \ (z \ y),y) = R(x,z \ 1,y). [hyper(58,a,8101,a(flip),b,10436,a),flip(a)]. 10446 L(x,y,((z / y) \ y) \ 1) = R(x,z \ 1,y). [hyper(58,a,9516,a,b,10445,a)]. 10447 x * ((x * x) \ L(x,x,y)) = x * (1 / L(x,x,y)). [hyper(58,a,3527,a,b,10437,a)]. 10448 (x * y) \ L(x * y,z,u) = a(y \ (x \ 1),u,z). [hyper(1187,a,10440,a)]. 10449 a((1 / x) \ ((x / y) \ 1),z,u) = a(x * (y / x),z,u). [para(5062(a,1),10440(a,1,1)),flip(a)]. 10450 L(x,y,y \ (z / y)) = R(x,z \ 1,y). [hyper(58,a,9097,a(flip),b,10446,a)]. 10451 L(x,y,y \ (y \ z)) = R(x,z \ 1,y). [hyper(9013,a,10450,a)]. 10452 L(x,y \ z,(z \ y) * y) = R(x,z \ 1,y \ z). [para(3302(a,1),10450(a,1,3))]. 10453 L(x,(y \ 1) \ (z \ 1),((y \ 1) \ (z \ 1)) \ (((y \ 1) \ (z \ 1)) \ y)) = L(x,(y \ 1) \ z,y \ 1). [hyper(272,a,8884,a(flip),b,10451,a),flip(a)]. 10454 R(x,(y \ (y \ z)) \ 1,z / y) = L(x,z / y,(z / y) \ (y \ 1)). [para(2836(a,1),10451(a,1,3,2)),flip(a)]. 10455 L(x,T(y,z),y \ (y \ u)) = R(x,u \ 1,T(y,z)). [para(3947(a,1),10451(a,1,3))]. 10456 L(x,y \ 1,z * ((1 / y) \ y)) = R(x,z \ 1,y \ 1). [para(4391(a,1),10451(a,1,3))]. 10457 L(x,(y \ z) \ 1,((y \ z) \ 1) \ (z \ (z / y))) = R(x,(z \ 1) \ 1,(y \ z) \ 1). [para(6399(a,1),10451(a,1,3,2))]. 10458 L(L(x,y,z),u,L(x,w,v5)) = a(x,x,u) * L(x,y,z). [hyper(272,a,10434,a,b,10366,a),flip(a)]. 10459 a(x,y,y) * (y * (y * z)) = z * T(y * y,x). [para(4244(a,2),10430(a,1,1))]. 10460 T(x * x,y) * L(z,x,x) = z * T(x * x,y). [hyper(58,a,6205,a,b,10459,a)]. 10461 T(x,T(y * y,z)) = L(x,y,y). [hyper(215,a,10459,a(flip),b,6205,a)]. 10463 T(x,y * (z * ((1 / y) \ z))) = L(x,z * y,z * y). [hyper(58,a,6032,a(flip),b,10461,a)]. 10464 T(x,y \ (z * (y \ z))) = L(x,y \ z,y \ z). [para(3276(a,1),10461(a,1,2))]. 10465 T(x,T(y * y,z) * u) = T(x,u * T(y * y,z)). [para(10460(a,1),8461(a,1,2)),flip(a)]. 10466 L(x,y \ (z \ (1 / u)),y \ (z \ (1 / u))) = T(x,y \ ((u * z) \ (y \ (z \ (1 / u))))). [hyper(58,a,9868,a(flip),b,10464,a),flip(a)]. 10467 L(1 / x,y,x \ 1) = 1 / L(x,x,y). [hyper(2988,a,10387,a),flip(a)]. 10468 L(1 / (x \ y),z,(y \ x) * 1) = 1 / L(x \ y,x \ y,z). [hyper(58,a,9093,a(flip),b,10467,a)]. 10469 (x * (y * L(z,z,u))) / L(z,z,u) = (x * (y * z)) / z. [hyper(113,a,10393,a(flip),b,10392,a)]. 10470 a(x / (y \ 1),z,u) = a((1 / x) \ y,z,u). [hyper(58,a,10336,a(flip),b,10403,a)]. 10471 a((1 / x) \ y,z,u) = a(x * y,z,u). [hyper(58,a,10340,a(flip),b,10470,a),flip(a)]. 10472 a((x \ 1) * y,z,u) = a(x \ y,z,u). [para(72(a,1),10471(a,1,1,1)),flip(a)]. 10473 a((x \ 1) * y,z,x \ y) = a(z,x \ y,x \ y). [hyper(272,a,6793,a,b,10472,a),flip(a)]. 10474 (L(x,x,y) \ z) * (x \ u) = (x \ z) * (L(x,x,y) \ u). [hyper(58,a,10404,a(flip),b,10405,a),flip(a)]. 10475 L(x,y,z * ((L(u,u,w) \ v5) * v6)) = L(x,y,z * ((u \ v5) * v6)). [para(10405(a,1),8936(a,1,3,2))]. 10476 L(x,1 / y,z) != u | L(x,y \ 1,z) = u. [para(2949(a,1),10406(a,1,2))]. 10477 L(x,(y \ 1) * z,u) != w | L(x,y \ z,u) = w. [para(6128(a,1),10406(a,1,2))]. 10478 L(x,T(y \ 1,z),u) != w | L(x,T(y,z) \ 1,u) = w. [para(10041(a,1),10476(a,1))]. 10480 L(x,(y \ 1) * z,(u \ 1) * w) != v5 | L(x,y \ z,u \ w) = v5. [para(8989(a,2),10477(a,1))]. 10481 L(x,(y \ 1) / z,u) != w | L(x,y \ (z \ 1),u) = w. [para(9197(a,1),10477(a,1))]. 10482 (x \ a(x,y,x \ 1)) \ 1 = a(x,x,x * y) / (x \ 1). [hyper(272,a,5593,a,b,10444,a),flip(a)]. 10483 R(x,(y \ z) \ 1,T(z,u)) = L(x,T(z,u),y \ (z \ 1)). [para(4355(a,1),10455(a,1,3)),flip(a)]. 10484 T(x,T(y * y,z) * u) = T(x,y * (y * u)). [hyper(272,a,10433,a(flip),b,10465,a),flip(a)]. 10486 T(x,T(y * y,z) * u) = T(x,u * (y * y)). [para(2956(a,2),10484(a,2,2))]. 10487 ((1 / ((1 / x) \ y)) \ a(x,y \ (x \ 1),y \ (x \ 1))) * x = x / ((y * x) \ 1). [para(10473(a,1),9950(a,1,1,2))]. 10488 L(L(x,y,z),u,L(x,w,v5)) = a(u,x,x) * L(x,y,z). [para(4244(a,2),10458(a,2,1))]. 10490 T(x,y * (z * (y * z))) = L(x,z * y,z * y). [hyper(58,a,8683,a(flip),b,10463,a)]. 10491 L(x,y \ (1 / z),u) != w | L(x,y \ (z \ 1),u) = w. [para(9235(a,1),10481(a,1))]. 10492 a(x,L(y,z,u),L(y,z,u)) = a(x,y,y). [hyper(3812,a,10488,a)]. 10493 ((1 / L(x,y,z)) \ a(u,x,x)) * u = (1 / L(x,y,z)) \ u. [para(10492(a,1),6999(a,1,1,2))]. 10494 L(x,(y * z) \ 1,u) != w | L(x,z \ (y \ 1),u) = w. [para(10062(a,2),10491(a,1))]. 10495 L(L(x,x,y),x,x) * ((x * x) \ 1) = a(x,x,y) / x. [para(2952(a,1),10389(a,1,1))]. 10496 L(x,x,x \ y) * ((x * x) \ 1) = a(x,x,y) / x. [para(10415(a,1),10495(a,1,1))]. 10497 L(x,x,x \ y) * (x \ (x \ 1)) = a(x,x,y) / x. [para(3080(a,1),10496(a,1,2))]. 10498 x \ (x \ L(x,x,x \ y)) = a(x,x,y) / x. [hyper(4393,a,10497,a)]. 10499 x \ a(x,x,x \ y) = a(x,x,y) / x. [para(10360(a,1),10498(a,1,2))]. 10500 x * ((x * x) \ L(x,x,y)) = a(x,x,x \ y). [hyper(114,a,10364,a,b,10499,a)]. 10501 x \ y != a(x,x,z) / x | a(x,x,x \ z) = y. [para(10499(a,1),42(a,1)),flip(a)]. 10502 T(x * x,x \ y) \ 1 = x \ (a(x,x,y) / x). [para(10499(a,1),4420(a,1,2)),flip(a)]. 10503 x * (1 / L(x,x,y)) = a(x,x,x \ y). [hyper(58,a,10447,a(flip),b,10500,a)]. 10504 T(x * x,x * y) \ 1 = x \ (a(x,x,y) / x). [para(4656(a,1),10502(a,1,1))]. 10505 x \ a(x,x,x * y) = a(x,x,y) / x. [hyper(4421,a,10504,a)]. 10506 a(x,x,x \ y) = a(x,x,x * y). [hyper(10501,a,10505,a)]. 10507 x * (1 / L(x,x,y)) = a(x,x,x * y). [hyper(58,a,10503,a,b,10506,a)]. 10508 x \ a(x,x,y * x) = 1 / L(x,x,y). [hyper(112,a,8360,a,b,10507,a)]. 10509 T(x * x,y * x) \ 1 = x \ (1 / L(x,x,y)). [para(10508(a,1),4420(a,1,2)),flip(a)]. 10510 (x \ 1) * (L(x,x,y) \ 1) = T(x * x,y * x) \ 1. [hyper(272,a,4963,a,b,10509,a)]. 10511 T(x * x,y * x) \ 1 = (x \ 1) * ((y * x) \ y). [para(5080(a,1),10510(a,1,2)),flip(a)]. 10512 T(x * x,y * x) \ 1 = T(x \ (1 / x),y). [hyper(272,a,5906,a(flip),b,10511,a),flip(a)]. 10513 T(x,T(y * y,z * y)) * T(y \ (1 / y),z) = T(y * y,z * y) \ x. [hyper(114,a,10512,a(flip),b,679,a)]. 10514 a(x * ((1 / y) \ (1 / x)),z,u) = a(x * (y / x),z,u). [para(5095(a,1),10449(a,1,1))]. 10515 L(x,y \ 1,z \ ((1 / y) \ y)) = R(x,(z \ 1) \ 1,y \ 1). [hyper(58,a,8989,a(flip),b,10456,a)]. 10516 L(x \ 1,x \ 1,y) \ 1 = a(x,x,x * y) / (x \ 1). [hyper(58,a,1201,a,b,10482,a)]. 10517 a(x / (x * (1 / y)),z,u) = a(x * (y / x),z,u). [hyper(58,a,10339,a(flip),b,10514,a)]. 10518 a((x \ (y \ x)) \ 1,z,u) = a(x * (y / x),z,u). [para(4112(a,1),10517(a,1,1))]. 10519 a((x \ y) \ y,z,u) = a(y * (x / y),z,u). [hyper(58,a,10386,a(flip),b,10518,a)]. 10520 L((x \ y) \ 1,(x \ y) \ 1,x) \ 1 = a(x \ y,x \ y,y) / ((x \ y) \ 1). [para(8361(a,1),10516(a,2,1))]. 10521 K(x,L(1 \ L(y,y,z),u,w)) = K(x,a(y,w,u) \ y). [hyper(58,a,8232,a(flip),b,10382,a)]. 10523 K(x,L(L(y,y,z),u,w)) = K(x,a(y,w,u) \ y). [para(60(a,1),10521(a,1,2,1))]. 10524 K(x,a(y,z,u) \ y) = K(x,L(y,u,z)). [hyper(58,a,8000,a(flip),b,10523,a),flip(a)]. 10525 ((1 / L(x,y,z)) \ a(x,x,u)) * u = (1 / L(x,y,z)) \ u. [para(4244(a,1),10493(a,1,1,2))]. 10526 (L(x,y,z) * a(x,x,u)) * u = (1 / L(x,y,z)) \ u. [para(10259(a,1),10525(a,1,1))]. 10527 L(L(x,x,y),z,u) * y = (1 / L(x,z,u)) \ y. [para(10373(a,1),10526(a,1,1))]. 10528 L(1 / (x \ y),z,(y \ x) * 1) = 1 / L(x \ y,z,x \ y). [para(10354(a,2),10468(a,2,2))]. 10529 L(x,y \ 1,z \ ((y / 1) * y)) = R(x,(z \ 1) \ 1,y \ 1). [hyper(58,a,9339,a(flip),b,10515,a)]. 10530 L(1 / (x \ y),z,y \ x) = 1 / L(x \ y,z,x \ y). [para(3(a,1),10528(a,1,3))]. 10531 R(x,(y \ 1) \ 1,z \ 1) = L(x,z \ 1,y \ (z * z)). [para(70(a,1),10529(a,1,3,2,1)),flip(a)]. 10532 R(x,(y \ 1) \ 1,z \ 1) = L(x,z \ 1,z * (z / y)). [hyper(272,a,9040,a(flip),b,10531,a),flip(a)]. 10533 R(x,(y \ 1) \ 1,z \ 1) = L(x,z \ 1,z * (y \ z)). [hyper(272,a,9134,a(flip),b,10532,a),flip(a)]. 10534 L(x,y \ 1,y * (z \ y)) = R(x,z,y \ 1). [hyper(58,a,2477,a(flip),b,10533,a),flip(a)]. 10535 L(x,T(1 / y,z) \ 1,((u * T(y,z)) \ 1) / T(y,z)) = R(x,u,T(1 / y,z) \ 1). [para(10233(a,1),10534(a,1,3))]. 10536 R(x,y,T(1 / z,u) \ w) = R(x,y,T(z \ 1,u) \ w). [para(2949(a,1),10383(a,1,3,1,1))]. 10538 R(x,y,T(1 / z,u) \ w) = R(x,y,T(z,u) * w). [hyper(272,a,8775,a(flip),b,10536,a),flip(a)]. 10539 L(x,y,z * (((u \ 1) * w) * v5)) = L(x,y,z * ((u \ w) * v5)). [para(6128(a,1),10475(a,1,3,2,1))]. 10540 L(x,y,z * ((L(u,u,w) \ v5) * v6)) = L(x,y,z * ((((w * u) \ w) * v5) * v6)). [para(5080(a,1),10539(a,1,3,2,1,1)),flip(a)]. 10541 L(x,y / z,y / z) != u | L(x,z \ y,z \ y) = u. [para(9282(a,1),10480(a,1))]. 10542 R(x,(y \ (y \ z)) \ 1,z / y) = L(x,z / y,y \ ((y \ z) \ 1)). [para(4351(a,1),10454(a,2,3))]. 10543 R(x,(y \ (y \ z)) \ 1,z / y) = L(x,z / y,y \ ((z \ y) * 1)). [hyper(272,a,9367,a(flip),b,10542,a),flip(a)]. 10544 R(x,(y \ (y \ z)) \ 1,z / y) = L(x,z / y,y \ (z \ y)). [para(3(a,1),10543(a,2,3,2))]. 10545 (L(x,x,y) * z) * L(u,z,x) = x * ((z * a(x,x,y)) * u). [para(9204(a,1),10407(a,1,2))]. 10546 x * ((y * a(x,x,z)) * u) = L(x,x,z) * (y * u). [hyper(10381,a,10545,a),flip(a)]. 10548 x * (y * (a(x,x,z) * u)) = L(x,x,z) * (y * u). [para(8348(a,1),10546(a,1,2))]. 10549 L(x,x,y) * (L(x,z,u) * w) = x * (L(L(x,x,y),z,u) * w). [para(10373(a,1),10546(a,1,2,1)),flip(a)]. 10550 x * (L(x,y,z) * (a(L(x,y,z),L(x,y,z),u) * w)) = L(L(x,y,z),L(x,y,z),u) * (x * w). [hyper(1280,a,10548,a)]. 10551 L(x \ 1,y,x \ 1) * (x \ z) = L(z,x,x) * T(x \ (1 / x),y). [para(684(a,1),10432(a,1,2,1)),flip(a)]. 10552 L(x,y,y) * T(y \ (1 / y),z) = (L(y,y,z) \ 1) * (y \ x). [para(10356(a,1),10551(a,1,1)),flip(a)]. 10553 L(x,y,y) * T(y \ (1 / y),z) = (y \ 1) * (L(y,y,z) \ x). [hyper(272,a,10474,a(flip),b,10552,a),flip(a)]. 10554 L(x,y,y) * T(y \ (1 / y),z) = T(y * y,z * y) \ x. [para(10461(a,1),10513(a,1,1))]. 10555 (x \ 1) * (L(x,x,y) \ z) = T(x * x,y * x) \ z. [hyper(58,a,10553,a(flip),b,10554,a)]. 10557 ((1 / (x \ y)) \ 1) * (L(1 / (x \ y),1 / (x \ y),y) \ z) = T((1 / (x \ y)) * (1 / (x \ y)),((y / x) \ 1) * y) \ z. [para(3425(a,2),10555(a,2,1,2))]. 10558 K((x * y) * z,x * (y * z)) * u = K(a(x,y,z),x * (y * z)) * u. [para(2(a,1),10251(a,1,2)),flip(a)]. 10560 K(a(x,y,z),x * (y * z)) * u = 1 * u. [para(9554(a,1),10558(a,1,1)),flip(a)]. 10561 T(a(x,y,z),x * (y * z)) = a(x,y,z). [hyper(111,a,10560,a(flip),b,2741,a),flip(a)]. 10562 a(x,y,z) = ((x * y) * z) / (x * (y * z)). [hyper(111,a,10560,a(flip),b,2948,a(flip)),flip(a)]. 10565 a(x,y,z) = R(x \ R(x,y,z),x,y * z). [hyper(1680,a,10561,a),flip(a)]. 10566 T(a(x,y,z),x * (y * z)) != u | a(x,y,z) = u. [para(10561(a,1),2810(a,1,1))]. 10567 a(x,y,z) * (x * (y * z)) = (x * y) * z. [hyper(125,a,10562,a(flip))]. 10569 K(x,y \ R(y,z,u)) = K(x,a(y,z,u)). [para(10565(a,2),10191(a,1,2)),flip(a)]. 10570 a(K(x,y),z * y,u) = K(x,a(y,z,u)). [hyper(58,a,10256,a,b,10569,a)]. 10571 K(x,x * a(y,z,u)) = a(K(x,y),z * y,u). [hyper(272,a,10252,a,b,10570,a)]. 10572 ((x * y) * z) / L(y * z,x,a(x,y,z)) = a(x,y,z) * x. [hyper(113,a,10567,a(flip),b,87,a)]. 10573 K(x,x * a(y,z,u)) = a(K(x,y),z,u). [hyper(272,a,10203,a(flip),b,10571,a),flip(a)]. 10574 a(K(x,y),z,u) = a(y,z,K(x,u)). [hyper(58,a,9448,a(flip),b,10573,a),flip(a)]. 10575 a(K(x,y),z,u) = K(a(y,z,x),u). [hyper(272,a,10282,a(flip),b,10574,a),flip(a)]. 10576 a(K(x,y),z,u) = a(x,z,K(y,u)). [para(28(a,1),10574(a,1,1))]. 10577 ((K(x,y) * z) * u) / a(y,z,K(x,u)) = K(x,y) * (z * u). [para(10574(a,1),167(a,1,2))]. 10578 K(x,y) * L(K(x,y) \ 1,z,u) = a(x,u,K(y,z)). [hyper(1212,a,10576,a)]. 10579 a(x,y,K(z,u)) = a(z,y,K(x,u)). [hyper(58,a,10574,a(flip),b,10576,a)]. 10580 a(x,y,K(z,u)) = a(u,y,K(x,z)). [para(28(a,1),10579(a,1,3))]. 10581 a(x,y,K(z,u \ 1)) = a(u,y,K(x,z * u)). [para(3391(a,2),10579(a,1,3))]. 10582 x * a(y,z,K(u,x)) = T(x,a(u,z,y)). [para(10579(a,1),10283(a,1,2))]. 10583 a(1 / x,y,K(z,u)) = a(z,y,K(u,x \ 1)). [hyper(272,a,2517,a,b,10580,a)]. 10584 a(x,y,K(z,u)) = K(x,a(u,y,z)). [hyper(272,a,10274,a(flip),b,10580,a),flip(a)]. 10585 a(K(x,y),z,u) = a(u,z,K(y,x)). [hyper(58,a,10574,a,b,10580,a)]. 10586 x * a(x,y,K(z,u)) = T(x,a(u,y,z)). [para(10580(a,2),10276(a,1,2))]. 10587 x * a(x,y,K(z,u)) != w | T(x,a(u,y,z)) = w. [para(10580(a,2),10279(a,1,2))]. 10588 (x * y) * a(y,z,K(u,w)) = x * T(y,a(w,z,u)). [para(10580(a,2),10275(a,1,2))]. 10589 K(x,L(y,z,u) \ y) = a(x,z,K(y,u)). [hyper(272,a,9403,a,b,10584,a)]. 10590 K(x,y) * a(K(x,y),z,u) = L(K(x,y),z,u). [para(10585(a,2),6927(a,1,2))]. 10591 T(T(x,a(y,z,u)),y) = T(x,L(y,z,u)). [para(10582(a,1),8271(a,1,1))]. 10592 T(x,a(y,z \ u,z)) = x * a(x,u,K(z,y)). [para(8255(a,1),10586(a,1,2)),flip(a)]. 10593 T(L(x,y,z) \ x,u) \ x = L(x,y,z) * a(u,y,K(x,z)). [para(10589(a,1),6759(a,1,2)),flip(a)]. 10594 T(T(x,y),a(y,z,u)) = T(x,L(y,z,u)). [hyper(354,a,10591,a)]. 10595 T(T(x,y),a(y,z,u)) = T(x,L(y,z / u,u)). [hyper(10313,a,10594,a)]. 10596 a(1 / x,y,K(z,u)) = a(z,y,K(u,x)). [hyper(272,a,9390,a(flip),b,10583,a),flip(a)]. 10597 a(1 / x,y,K(z,u)) = a(z,y,K(x,u)). [para(28(a,1),10596(a,2,3))]. 10598 a(x \ 1,y,K(z,u)) = a(z,y,K(x,u)). [hyper(58,a,2517,a(flip),b,10597,a)]. 10599 L(x,y,z) * a(y,z,K(x,u)) = x * T(a(1 / x,z,y),u). [para(10597(a,1),10287(a,1,2))]. 10600 a(x,y,K(z,u)) * (z \ L(z,u,y)) = T(a(z \ 1,y,u),x). [para(10598(a,1),10312(a,1,1))]. 10601 R(K(x,y),z,u) = L(K(x,y),z,u). [hyper(58,a,10199,a(flip),b,10590,a)]. 10602 R(K(x,y),z,u) = K(x,L(y,z,u)). [hyper(272,a,8229,a(flip),b,10601,a),flip(a)]. 10603 L(K(x,y),z,u) \ (u * (K(x,y) * z)) = z * T(u,K(x,y) * z). [para(10601(a,1),8123(a,1,1))]. 10604 K(x,R(y,z,u)) = K(x,L(y,z,u)). [hyper(10192,a,10602,a)]. 10605 a(x,y,K(z,L(u,w,v5))) = R(K(a(x,y,z),u),w,v5). [hyper(272,a,10282,a,b,10602,a)]. 10606 K(R(x,y,z),u) = K(x,L(u,y,z)). [hyper(58,a,10185,a(flip),b,10602,a)]. 10607 K(x,L(y,z,u)) * (z * u) = (K(x,y) * z) * u. [para(10602(a,1),93(a,1,1))]. 10608 R(a(x,y,K(z,u)),w,v5) = K(x,L(a(u,y,z),w,v5)). [para(10584(a,2),10602(a,1,1))]. 10609 K(x,L((y / z) / u,u,z)) = K(x,y / (u * z)). [para(258(a,1),10604(a,1,2)),flip(a)]. 10610 K(x,K(y,L(z,u,w))) * y = T(y,K(x,R(z,u,w))). [para(10604(a,1),5521(a,1,1,2))]. 10611 K(R(x,y,z),u) = K(L(x,y,z),u). [hyper(272,a,8246,a,b,10606,a),flip(a)]. 10612 x / T(x,L(y,z,u)) = K(R(y,z,u),x). [hyper(272,a,2670,a(flip),b,10611,a)]. 10613 K(L(x / y,y,z),u) = K((x * z) / (y * z),u). [para(94(a,1),10611(a,1,1)),flip(a)]. 10614 K(L(x,y,z),u) \ u = T(u,R(x,y,z)). [para(10611(a,1),2682(a,2,1)),flip(a)]. 10615 T(x,R(y,z,u)) = T(x,L(y,z,u)). [hyper(31,a,2670,a(flip),b,10612,a)]. 10617 R(x,y,z) \ T(u,L(x,y,z)) = u * (R(x,y,z) \ 1). [hyper(112,a,10615,a(flip),b,2843,a(flip))]. 10618 T(x,T((y * z) * u,L(y,z,u))) = T(x,(z * u) * R(y,z,u)). [para(10615(a,1),6040(a,1,2))]. 10619 T(x,y * T((z * u) * w,L(z,u,w))) = T(x,y * ((T(z,u * w) * u) * w)). [para(10615(a,1),9500(a,1,2,2))]. 10620 T(x,R(y,z,u)) != w | T(x,L(y,z,u)) = w. [para(10614(a,1),2726(a,1))]. 10621 T(x,a(y,z \ u,z)) = T(x,a(y,u,z)). [hyper(272,a,10586,a(flip),b,10592,a),flip(a)]. 10622 T(x,L(y,z / u,u)) = T(x,L(y,z,u)). [hyper(58,a,10594,a(flip),b,10595,a),flip(a)]. 10623 T(x,L(y,z \ u,z)) = T(x,L(y,u,z)). [para(9009(a,1),10622(a,1,2))]. 10624 T(x,L(y,z * u,z)) = T(x,L(y,u,z)). [para(4(a,1),10623(a,1,2,2)),flip(a)]. 10625 T(a(x * y,z,x),x * ((y * z) * x)) != u | a(x * y,z,x) = u. [para(8590(a,1),10566(a,1))]. 10626 T(x,a(y,z \ u,z)) != w | T(x,a(y,u,z)) = w. [para(10592(a,2),10587(a,1))]. 10627 T(K(x,T(y,z * u)) * z,u) = T(z,u) * K(x,y). [hyper(215,a,10607,a(flip),b,9059,a(flip))]. 10629 K(x,L(y \ (y \ (z / u)),y * y,u)) = K(x,z / ((y * y) * u)). [para(3009(a,1),10609(a,1,2,1))]. 10630 K(x,L((y / z) / (u / (w / v5)),u * (v5 / w),z)) = K(x,y / ((u / (w / v5)) * z)). [para(10007(a,1),10609(a,1,2))]. 10631 K(x,L((y / z) / ((u * w) \ 1),w \ (u \ 1),z)) = K(x,y / (((u * w) \ 1) * z)). [para(10063(a,1),10609(a,1,2))]. 10632 K((x * y) \ z,T(u,y)) = K(((x \ z) * x) / (y * x),u). [hyper(58,a,5325,a(flip),b,10613,a)]. 10633 K(x,y) * L(K(x,y),z,u) = a(x,u,K(y,z)). [para(2879(a,1),10578(a,1,2,1))]. 10634 K(x,y) * K(x,L(y,z,u)) = a(x,u,K(y,z)). [para(8229(a,1),10633(a,1,2))]. 10635 K(x,y) * a(x,z,K(y,u)) = K(x,L(y,u,z)). [hyper(3909,a,10634,a)]. 10636 K(x,L(y,z,u)) * K(x,y) = a(x,u,K(y,z)). [hyper(1499,a,10634,a)]. 10637 K(x,y) * T(L(y,z,u),x) = a(x,u,K(y,z)) * L(y,z,u). [para(10634(a,1),3711(a,1,1)),flip(a)]. 10638 K(x,y) * a(x,z,K(y,u)) != w | K(x,L(y,u,z)) = w. [para(10634(a,1),3919(a,1,2))]. 10639 a(x,y,K(z,u)) = a(u,x,K(z,y)). [hyper(29,a,8233,a,b,10635,a)]. 10640 K(x,y) * a(x,z,K(u,y)) = K(x,L(y,u,z)). [para(28(a,1),10635(a,1,2,3))]. 10641 K(x,y) * K(x,L(y,z,u)) != w | a(x,u,K(y,z)) = w. [para(10635(a,1),3919(a,1,2))]. 10642 a(x,y,K(z,u)) = a(z,x,K(y,u)). [hyper(272,a,10580,a,b,10639,a),flip(a)]. 10643 a(x,y,K(z,z \ u)) = a(y,u,K(z,x)). [hyper(272,a,9386,a,b,10639,a)]. 10644 L(x \ 1,K(y,z),u) = x \ a(u,z,K(y,x)). [hyper(112,a,10639,a,b,1178,a(flip)),flip(a)]. 10645 a(x,y,K(z,u)) = a(x,u,K(y,z)). [hyper(58,a,10580,a(flip),b,10639,a),flip(a)]. 10646 a(x,y,K(z,u)) = a(u,x,K(y,z)). [para(28(a,1),10639(a,2,3))]. 10647 a(x,y \ (y / z),K(u,w)) = a(w,x,K(u,z \ 1)). [para(4439(a,1),10639(a,2,3))]. 10648 a(L(x,y,z),u,K(w,v5)) = a(u,v5,K(w,R(x,y,z))). [para(10604(a,2),10639(a,1,3)),flip(a)]. 10649 a(x,L((y / z) / u,u,z),K(w,v5)) = a(v5,x,K(w,y / (u * z))). [para(10609(a,1),10639(a,2,3))]. 10650 a(x,1 / y,K(z,u)) = a(x,z,K(u,y)). [hyper(58,a,10596,a(flip),b,10642,a),flip(a)]. 10651 a(x,y,K(z,u)) * a(y,z,x) = T(a(y,z,x),u). [para(10642(a,1),10285(a,1,1))]. 10653 a(x,y,K(z,y \ u)) = a(x,u,K(y,z)). [hyper(272,a,8255,a(flip),b,10645,a),flip(a)]. 10654 a(x,y,K(z,u \ 1)) = a(y,z,K(u,x)). [hyper(272,a,9390,a,b,10646,a)]. 10655 a(x,y * z,K(u,z)) = a(y,u,K(z,x)). [hyper(272,a,8257,a,b,10646,a)]. 10656 a(x,L(y,z,u),K(w,v5)) = a(v5,x,K(y,L(w,z,u))). [para(8246(a,1),10646(a,2,3))]. 10657 a(x,y,K(z,y \ u)) = a(x,u,K(z,y)). [para(28(a,1),10653(a,2,3))]. 10658 a(x,y,K(z,u * x)) = a(y,u,K(x,z)). [hyper(58,a,10581,a(flip),b,10654,a)]. 10659 a(x,y * z,K(z,u)) = a(y,x,K(z,u)). [hyper(58,a,10580,a,b,10655,a)]. 10660 a(x,y,K(z,u * z)) = a(x,u,K(z,y)). [hyper(58,a,10642,a,b,10658,a)]. 10661 a(x,y,K(z,u * y)) = a(z,u,K(y,x)). [hyper(58,a,10642,a(flip),b,10658,a)]. 10662 a(x / y,z,K(u,T(x,y))) = a(z,y,K(x / y,u)). [para(6070(a,1),10658(a,1,3))]. 10663 a((1 / x) / y,z,K(u,y \ 1)) = a(z,x,K((1 / x) / y,u)). [para(6080(a,1),10658(a,1,3))]. 10664 a(x / y,z,K(y,u)) = a(z,x,K(y,u)). [para(7(a,1),10659(a,1,2)),flip(a)]. 10665 a(x,y,K(z,z * u)) = a(x,u,K(z,y)). [para(3189(a,1),10660(a,1,3))]. 10666 a(x,y,K(z,u * y)) = a(z,u,K(x,y)). [para(28(a,1),10661(a,2,3))]. 10667 a(x * y,z,K(x,u)) = a(z,y,K(x,u)). [hyper(58,a,10639,a(flip),b,10665,a)]. 10668 a(x,y,K(z,y * u)) = a(z,u,K(x,y)). [hyper(58,a,7971,a(flip),b,10666,a)]. 10669 K(x,y) * a(x,z,K(y,u)) = K(x,L(y,z,u)). [para(10645(a,2),10640(a,1,2))]. 10670 K(x,L(y,z,u)) = K(x,L(y,u,z)). [hyper(58,a,10635,a(flip),b,10669,a)]. 10671 K(x,L(y,z,u)) * (u * z) = (K(x,y) * u) * z. [para(10670(a,1),10607(a,1,1))]. 10672 ((K(x,y) * z) * u) \ (K(x,L(y,u,z)) * (z * (u * y))) = L(y,u,z). [para(10671(a,1),5739(a,1,1))]. 10673 K(x,L(y,z,u)) * (u * (z * y)) = (K(y,x) * u) * (z * y). [para(8242(a,1),10671(a,1,1))]. 10674 R(x,y,K(z,u)) = T(x,a(u,y,z)). [hyper(10198,a,10588,a)]. 10675 a(x,y,K(z,L(u,w,v5))) = R(a(x,y,K(z,u)),w,v5). [para(10282(a,2),10605(a,2,1))]. 10676 T(x,y) * K(z,T(u,x * y)) = T(K(z,u) * x,y). [para(2765(a,1),10627(a,1,1,1,2)),flip(a)]. 10677 a(x,y \ (y / z),K(u,w)) = a(w,x,K(u,z)). [hyper(272,a,9390,a(flip),b,10647,a),flip(a)]. 10678 a(x,y \ (y / z),K(u,w)) = a(w,x,K(z,u)). [para(28(a,1),10677(a,2,3))]. 10679 a(L(x,y,z),u,K(w,v5)) = a(u,v5,K(w,L(x,y,z))). [para(10604(a,1),10648(a,2,3))]. 10680 a((x * x) / y,z,a(x,x,u)) = a(z,y,K((x * x) / y,u)). [para(5661(a,1),10662(a,1,3))]. 10681 a(x,y,K(z,L(u,w,v5))) = K(x,L(a(u,y,z),w,v5)). [hyper(272,a,10608,a(flip),b,10675,a),flip(a)]. 10682 a(L(x,y,z),u,K(w,v5)) = a(u,w,K(v5,L(x,y,z))). [para(28(a,1),10679(a,1,3))]. 10683 a(x,y,K(z,L(u,x,w))) = K(x,a(u,y,z)). [hyper(272,a,8058,a(flip),b,10681,a),flip(a)]. 10684 a(x,y,K(z,L(u,x,w))) = a(x,y,K(z,u)). [hyper(272,a,10584,a,b,10683,a),flip(a)]. 10685 K(x,L(y,z,u)) != w | K(x,L(y,u,z)) = w. [para(10669(a,1),10638(a,1))]. 10686 K(x,L(y,z,u)) * K(x,y) != w | a(x,u,K(y,z)) = w. [para(1498(a,1),10641(a,1))]. 10687 K(((x \ y) * x) / (z * x),u) = K(u,T((x * z) \ y,z)). [hyper(5268,a,10632,a),flip(a)]. 10688 K(x,T((y * z) \ u,z)) = K(x,((y \ u) * y) / (z * y)). [hyper(508,a,10687,a),flip(a)]. 10689 K(x,T((y * z) \ u,z)) = K(x,(y * (u / y)) / (z * y)). [para(2828(a,1),10688(a,2,2,1))]. 10690 K(x,T((y * ((y * z) \ y)) \ u,(y * z) \ y)) = K(x,(y * (u / y)) / (z \ y)). [para(3299(a,1),10689(a,2,2,2))]. 10691 K(x,T(((y \ 1) / z) \ u,y \ (y / z))) = K(x,((y \ 1) * (u / (y \ 1))) / ((y \ (y / z)) * (y \ 1))). [para(4927(a,1),10689(a,1,2,1,1))]. 10692 ((K(x,y) * z) * u) * a(y,z,K(u,x)) = K(x,y) * (z * u). [hyper(7952,a,10577,a)]. 10693 L(x,y,z) * a(y,z,K(x,u)) = x * T(a(x \ 1,z,y),u). [para(2517(a,1),10599(a,2,2,1))]. 10694 a(x,y,K((z * z) / y,u)) = 1. [hyper(58,a,8339,a(flip),b,10680,a),flip(a)]. 10696 (K(x,y) * z) * T(u,a(y,z,x)) = K(x,y) * (z * u). [hyper(10281,a,10692,a)]. 10697 L(x,y,K(z,u)) = T(x,a(u,y,z)). [hyper(429,a,10696,a)]. 10698 R(x,y,K(z,u)) = L(x,y,K(z,u)). [hyper(272,a,10674,a,b,10697,a)]. 10699 x * a(y,z,K(u,x)) = L(x,z,K(y,u)). [hyper(272,a,10582,a,b,10697,a)]. 10700 x * a(y,z,K(x,u)) = L(x,z,K(u,y)). [hyper(272,a,10276,a,b,10697,a)]. 10701 L(x,y \ z,K(y,u)) = T(x,a(u,z,y)). [hyper(272,a,10621,a(flip),b,10697,a),flip(a)]. 10702 L(T(x,y),z,K(u,y)) = T(x,L(y,z,u)). [hyper(272,a,10594,a(flip),b,10697,a),flip(a)]. 10703 L(x,y \ z,K(y,u)) != w | T(x,a(u,z,y)) = w. [para(10697(a,2),10626(a,1))]. 10705 ((x * (y * y)) * K(z,u)) / (y * (y * K(z,u))) = L(x,y * y,K(z,u)). [hyper(58,a,5673,a,b,10698,a)]. 10706 L(x,y,K(z,u)) * (y * K(z,u)) = (x * y) * K(z,u). [para(10698(a,1),93(a,1,1))]. 10707 x * a(x,y,K(z,u)) = L(x,u,K(y,z)). [para(10639(a,1),10699(a,1,2))]. 10708 x * a(y,z,K(x,u)) = L(x,u,K(y,z)). [para(10645(a,2),10699(a,1,2))]. 10709 L(x,y \ z,K(y,u)) = L(x,z,K(y,u)). [hyper(272,a,10697,a,b,10701,a),flip(a)]. 10710 L(T(x,y),z,K(y,u)) = T(x,L(y,z,u)). [para(28(a,1),10702(a,1,3))]. 10711 L(x,y,K(z,u)) = T(x,a(z,u,y)). [hyper(10279,a,10708,a),flip(a)]. 10712 L(x,y,K(z,u)) = L(x,u,K(y,z)). [hyper(58,a,10700,a(flip),b,10708,a),flip(a)]. 10713 x * a(y,z,K(u,x)) = L(x,y,K(z,u)). [para(10646(a,1),10708(a,1,2))]. 10714 T(x,L(y \ z,u,w) * (z \ y)) = L(x,u,K((y \ z) \ 1,w)). [hyper(272,a,9696,a,b,10711,a)]. 10715 L(T(x,y),z,K(y,u)) = T(x,L(y,u,z)). [hyper(272,a,10594,a(flip),b,10711,a),flip(a)]. 10716 L(x,y \ (y \ 1),K(z,u)) = x. [hyper(272,a,10318,a(flip),b,10711,a),flip(a)]. 10717 L(a(x,y,z) \ u,z,K(x,y)) = u / a(x,y,z). [hyper(272,a,2775,a(flip),b,10711,a),flip(a)]. 10718 L(a(x,y,z) * u,z,K(x,y)) = u / (a(x,y,z) \ 1). [hyper(272,a,680,a(flip),b,10711,a),flip(a)]. 10719 a(x,y,z) \ L(u,z,K(x,y)) = u * (a(x,y,z) \ 1). [hyper(112,a,10711,a,b,2843,a(flip))]. 10720 L(x / a(y,z,u),u,K(y,z)) != w | a(y,z,u) \ x = w. [para(10711(a,2),581(a,1))]. 10721 K(x,a(y,z,u)) * (x / w) = L(x,u,K(y,z)) / w. [para(10711(a,2),5591(a,2,1))]. 10722 T(x \ 1,a(y,z,u)) = L(x,u,K(y,z)) \ 1. [para(10711(a,2),10260(a,2,1))]. 10723 x * (L(x,y,K(z,u)) \ w) = a(z,u,K(x,y)) * w. [para(10711(a,2),10280(a,1,2,1))]. 10724 L(x,y \ (y \ 1),K(z,u)) != w | x = w. [para(10711(a,2),10319(a,1))]. 10725 x * L(y,z,K(u,w)) = x * L(y,w,K(z,u)). [hyper(114,a,10712,a,b,4,a)]. 10726 L(T(x,y),y,K(z,u)) = T(x,L(y,z,u)). [hyper(58,a,10702,a(flip),b,10712,a),flip(a)]. 10727 L(x,y,K(z,u)) = L(x,z,K(y,u)). [para(28(a,1),10712(a,1,3))]. 10728 L(x,y * z,K(y,u)) = L(x,z,K(y,u)). [para(4(a,1),10709(a,1,2)),flip(a)]. 10729 x * a(1 / x,y,K(z,u)) = L(x,z,K(y,u)). [para(10596(a,2),10713(a,1,2))]. 10730 T(x,L(y,z,u)) = T(x,L(y,u,z)). [hyper(58,a,10710,a(flip),b,10715,a)]. 10731 L(T(x,y),y,K(z,u \ 1)) = T(x,L(y,z,1 / u)). [para(2369(a,1),10726(a,1,3))]. 10732 L(x / y,y,K(z,u)) = T(y \ x,L(y,z,u)). [para(2775(a,1),10726(a,1,1))]. 10733 L(L(x,y,y),y * y,K(z,u)) = T(x,L(y * y,z,u)). [para(2952(a,1),10726(a,1,1))]. 10734 L(L(x,y,z),y,K(z,u)) = L(x,y,T(z,u)). [hyper(7023,a,10728,a),flip(a)]. 10735 L(L(x,y,z),y,K(z,u)) != w | L(x,y,T(z,u)) = w. [para(10728(a,1),7023(a,1))]. 10736 L(x,y,T(y,z)) = L(x,y,y). [hyper(2705,a,10734,a),flip(a)]. 10737 L(x,y,z) * a(y,z,K(u,L(x,y,z))) = L(x,y,T(z,u)). [hyper(58,a,10713,a,b,10734,a)]. 10738 L(L(x,y,z),u,K(y,z)) = L(x,y,T(z,u)). [hyper(58,a,10712,a(flip),b,10734,a)]. 10739 L(x,T(y,z),y) = L(x,y,y). [hyper(1029,a,10736,a)]. 10741 L(L(x,y,z),u,K(z,y)) = L(x,y,T(z,u)). [para(28(a,1),10738(a,1,3))]. 10742 L(x \ 1,y,K(z,u)) = L(x,y,K(z,u)) \ 1. [hyper(58,a,10711,a,b,10722,a)]. 10743 x * L(y,z,K(u,w)) = x * L(y,w,K(u,z)). [para(28(a,1),10725(a,2,2,3))]. 10744 L(x,K(y,z),u) = L(x,y,K(u,z)). [hyper(2521,a,10729,a)]. 10745 L(x,K(y,z),u) = L(x,z,K(u,y)). [para(28(a,1),10744(a,1,2))]. 10746 L(x \ 1,y,K(z,u)) = x \ a(z,y,K(u,x)). [hyper(58,a,10644,a(flip),b,10745,a),flip(a)]. 10747 (K(x,y) * z) * L(u,y,K(z,x)) = T(z,K(x,y)) * (K(x,y) * u). [hyper(114,a,10745,a(flip),b,9002,a(flip))]. 10748 (x * (x * K(y,z))) * L(u,z,K(x * x,y)) = (x * x) * (K(y,z) * u). [para(10745(a,1),5674(a,1,2))]. 10749 ((L(x,y,K(z,u)) \ 1) \ 1) \ 1 = L(1 / x,y,K(z,u)). [para(10742(a,1),4953(a,1,1,1))]. 10750 (K(x,y) * z) * L(u,y,K(x,z)) != w | K(x,y) * (z * u) = w. [para(10743(a,1),251(a,1))]. 10751 L(x \ 1,y,K(z,u)) = x \ a(u,y,K(z,x)). [para(28(a,1),10746(a,1,3))]. 10752 L(x \ 1,y,K(z,u)) != x \ w | a(u,y,K(z,x)) = w. [para(10751(a,2),42(a,1))]. 10753 L(a(x * x,y,z) \ u,z,a(x,x,y)) = u / a(x * x,y,z). [para(4211(a,1),10717(a,1,3))]. 10754 a(x,y,K(z,u)) * (u / w) = L(u,z,K(x,y)) / w. [para(10277(a,2),10721(a,1,1))]. 10755 a(x,y,K(z,u)) * (z \ w) = L(z,u,K(x,y)) \ w. [hyper(1284,a,10723,a),flip(a)]. 10756 T(x,L(y,z,1 / u)) = L(T(x,y),y,K(z,u)). [hyper(58,a,8971,a(flip),b,10731,a),flip(a)]. 10757 T(x,L(y,z,1 / u)) = T(x,L(y,z,u)). [hyper(272,a,10726,a(flip),b,10756,a),flip(a)]. 10758 T(x,L(y,z,u \ 1)) = T(x,L(y,z,u)). [para(72(a,1),10757(a,1,2,3)),flip(a)]. 10759 T(x,y \ (z \ (((1 / z) \ y) * u))) = T(x,L(u,(z \ 1) \ y,z)). [hyper(58,a,8879,a,b,10758,a)]. 10760 L(L(x,y,z),u,K(y,z)) != w | L(x,y,T(z,u)) = w. [para(10712(a,1),10735(a,1))]. 10761 L(x,y,K(z,u)) \ L(x,y,u) = T(a(x \ 1,u,y),z). [hyper(58,a,10600,a(flip),b,10755,a),flip(a)]. 10762 (x * y) * K(z,u) != w * (y * K(z,u)) | L(x,y,K(z,u)) = w. [para(10706(a,1),39(a,1))]. 10763 L(x,y \ (1 / y),K(z,u)) * ((y \ 1) * (y \ K(z,u))) = (x * (y \ (1 / y))) * K(z,u). [para(3787(a,1),10706(a,1,2))]. 10764 L(x,y,K(z,T(u,y))) * (K(z,u) * y) = (x * y) * K(z,T(u,y)). [para(5236(a,1),10706(a,1,2))]. 10765 L(a(x \ 1,y,z) * u,z,K(x \ 1,y)) = u / (L(x,z,y) \ x). [para(2533(a,2),10718(a,2,2))]. 10766 a(x,y,K(z,u)) * L(z,u,y) = z * T(a(z \ 1,y,u),x). [para(10761(a,1),10723(a,1,2)),flip(a)]. 10767 L(x,y,z) * a(y,z,K(u,x)) = L(x,y,T(z,u)). [para(10684(a,1),10737(a,1,2))]. 10768 L(x,y,z) * a(y,z,K(x,u)) = L(x,y,T(z,u)). [para(28(a,1),10767(a,1,2,3))]. 10770 L(x,y,z) * a(u,y,K(x,z)) = L(x,y,T(z,u)). [para(10639(a,1),10768(a,1,2))]. 10771 T(L(x,y,z) \ x,u) \ x = L(x,y,T(z,u)). [hyper(58,a,10593,a,b,10770,a)]. 10772 T(a(x \ 1,y,z) \ 1,u) \ x = L(x,z,T(y,u)). [hyper(58,a,6978,a(flip),b,10771,a)]. 10773 T(L(x,y,z) \ x,u) = L(x,y,T(z,u)) \ x. [hyper(34,a,2498,a,b,10771,a),flip(a)]. 10774 L(1 / x,y,K(z,u)) = 1 / L(x,y,K(z,u)). [hyper(2988,a,10749,a),flip(a)]. 10775 x * T(a(x \ 1,y,z),u) = L(x,z,T(y,u)). [hyper(58,a,10768,a(flip),b,10693,a),flip(a)]. 10776 T(a(x \ 1,y,z),u) * x = L(x,z,T(y,u)). [hyper(2530,a,10775,a)]. 10777 T(a(x \ 1,y,z) \ 1,u) \ x = T(a(x \ 1,y,z),u) * x. [hyper(272,a,10772,a,b,10776,a)]. 10778 K(x,y) * T(L(y,z,u),x) = y * T(a(y \ 1,u,z),x). [hyper(58,a,10637,a,b,10766,a)]. 10779 K(x,y) * L(T(y,x),z,u) = y * T(a(y \ 1,u,z),x). [para(20(a,2),10778(a,1,2))]. 10780 K(x,y) * L(T(y,x),z,u) = L(y,z,T(u,x)). [hyper(272,a,10775,a(flip),b,10779,a),flip(a)]. 10782 K(x,y) * L(T(x,y),z,u) = L(x,z,T(u,y)). [para(28(a,1),10780(a,1,1))]. 10783 L(T(x,y),z,u) \ T(x,y) = L(x,z,T(u,y)) \ x. [para(10780(a,1),5652(a,1,1)),flip(a)]. 10784 ((L(T(x,y),z,u) * w) * R(K(y,x),L(T(x,y),z,u),w)) * R(K(y,x),L(T(x,y),z,u),w) = (R(K(y,x),L(T(x,y),z,u),w) \ 1) \ (L(x,z,T(u,y)) * w). [para(10780(a,1),3543(a,2,2,1))]. 10785 K(x,x \ y) * L((x \ y) \ y,z,u) = L(x,z,T(u,x \ y)). [para(99(a,1),10782(a,1,2,1))]. 10786 (1 / (L(T(x,y),z,u) \ x)) * K(x,y) = 1 / (L(x,z,T(u,y)) \ x). [para(10783(a,1),7102(a,2,2))]. 10787 a((1 / x) / y,z,K(u,y \ 1)) = a(z,x,K(u,(1 / x) / y)). [para(28(a,1),10663(a,2,3))]. 10788 T(x,L(y \ z,u,w) * (z \ y)) = L(x,u,K(w,(y \ z) \ 1)). [para(28(a,1),10714(a,2,3))]. 10789 x / a(y * y,z,u) = a(y * y,z,u) \ x. [hyper(8403,a,10753,a),flip(a)]. 10792 T(L(x,y,z) \ x,u) \ 1 = T(a(x \ 1,z,y),u). [hyper(7240,a,10777,a)]. 10793 (x * (L(y,z,u) \ y)) \ x = a(y \ 1,u,z). [hyper(3242,a,10792,a(flip))]. 10794 x / a(y \ 1,z,u) = x * (L(y,u,z) \ y). [hyper(178,a,10793,a)]. 10795 x / (y \ L(y,z,u)) = x * (L(y,z,u) \ y). [hyper(58,a,1195,a(flip),b,10794,a)]. 10796 (x \ L(x,y,z)) \ u = (L(x,y,z) \ x) * u. [hyper(6572,a,10795,a)]. 10797 x / (L(y,z,u) \ y) = x * (y \ L(y,z,u)). [hyper(277,a,10795,a),flip(a)]. 10799 (L(x,y,z) \ x) \ u = (x \ L(x,y,z)) * u. [hyper(286,a,10796,a),flip(a)]. 10800 (L(x,y,z) \ x) * u = x * (L(x,y,z) \ u). [hyper(58,a,8314,a(flip),b,10796,a),flip(a)]. 10801 T(x \ L(x,y,z),u) \ 1 = T(L(x,y,z) \ x,u). [hyper(215,a,10796,a(flip),b,3006,a),flip(a)]. 10802 x \ ((L(x,y,z) \ x) * u) = L(x,y,z) \ u. [hyper(112,a,10796,a(flip),b,8314,a(flip))]. 10804 (L(1 / x,y,z) \ (1 / x)) * u = a(x,z,y) \ u. [para(1180(a,2),10796(a,1,1)),flip(a)]. 10805 (L(x * y,z,u) \ (x * y)) * w = a(y \ (x \ 1),u,z) \ w. [para(10448(a,1),10796(a,1,1)),flip(a)]. 10806 (L(x,y,z) \ x) \ u = L(x,y,z) * (x \ u). [hyper(272,a,8307,a(flip),b,10799,a),flip(a)]. 10807 T(L(x,y,z) \ x,L(x,y,z) * u) = (L(x,y,z) * u) \ (x * u). [hyper(359,a,138,a(flip),b,10800,a)]. 10808 L(x,y,z) \ (x * u) = (L(x,y,z) \ x) * u. [hyper(272,a,1274,a,b,10800,a)]. 10809 (L(x,y,z) \ x) * (L(x,y,z) * u) = x * u. [hyper(272,a,138,a(flip),b,10800,a),flip(a)]. 10811 1 / T(x \ L(x,y,z),u) = T(L(x,y,z) \ x,u). [hyper(58,a,7540,a,b,10801,a)]. 10812 (a(x,y,z) \ 1) * u = a(x,y,z) \ u. [para(2536(a,1),10804(a,1,1))]. 10813 (a(x,y,z) \ 1) \ u = a(x,y,z) * u. [hyper(112,a,4,a(flip),b,10812,a)]. 10814 (x * a(y,z,u)) \ 1 = a(y,z,u) \ (x \ 1). [hyper(58,a,10293,a(flip),b,10812,a)]. 10815 x / a(y,x,z) = a(y,x,z) \ x. [hyper(58,a,10255,a(flip),b,10812,a)]. 10816 (x * a(y,z,u)) \ x = a(y,z,u) \ 1. [hyper(30,a,4345,a,b,10812,a)]. 10817 L(x,a(y,z,u),a(y,z,u)) = x. [hyper(29,a,2030,a,b,10812,a)]. 10818 x * (a(y,z,u) \ 1) = x / a(y,z,u). [hyper(29,a,1137,a,b,10812,a)]. 10819 (a(x,y,z) * a(x,y,z)) * u = a(x,y,z) * (a(x,y,z) * u). [hyper(3557,a,10812,a(flip)),flip(a)]. 10820 (a(x,y,z) \ (u * (w \ 1))) / (w \ 1) = w \ ((w * (a(x,y,z) \ 1)) * u). [hyper(113,a,10812,a(flip),b,1130,a)]. 10821 x / (a(y,z,u) \ 1) = x * a(y,z,u). [hyper(113,a,10817,a(flip),b,2005,a)]. 10822 L(x,a(y,z,u),a(y,z,u)) != w | x = w. [para(10817(a,1),45(a,2))]. 10823 a(x,y,z) * u != w | (a(x,y,z) \ 1) \ u = w. [para(10817(a,1),2010(a,1))]. 10824 a(x,y,z) \ ((y * (u * a(x,y,z))) / a(x,y,z)) = (y / a(x,y,z)) * L(u,a(x,y,z),a(x,y,z)). [para(10815(a,2),2019(a,2,1))]. 10825 (x * a(y,z,u)) * a(y,z,u) = a(y,z,u) * (a(y,z,u) * x). [hyper(3628,a,10813,a)]. 10826 (a(x,y,z) \ u) \ u = T(a(x,y,z),u). [hyper(215,a,10813,a(flip),b,3462,a),flip(a)]. 10828 a(x,y,z) \ 1 != u \ w | w * a(x,y,z) = u. [para(10816(a,1),43(a,1))]. 10829 x / (a(y,z,u) \ 1) != w | x * a(y,z,u) = w. [para(10816(a,1),280(a,1,2))]. 10830 ((x * y) * z) \ (x * (y * z)) = a(x,y,z) \ 1. [para(79(a,1),10816(a,1,1))]. 10832 L(a(x,y,z) * u,z,K(x,y)) = u * a(x,y,z). [hyper(58,a,10718,a,b,10821,a)]. 10833 T(L(x,y,z) * u,a(x \ 1,z,y)) = (x * u) * a(x \ 1,z,y). [hyper(58,a,8317,a,b,10821,a)]. 10834 (x * a(y,z,u)) * a(y,z,u) = x * (a(y,z,u) * a(y,z,u)). [para(10821(a,1),3370(a,1,1))]. 10835 L(a(x,y,z) * u,x,K(y,z)) = u * a(x,y,z). [hyper(58,a,10712,a,b,10832,a)]. 10836 L(a(x,y,z) * u,x,K(y,z)) != a(x,y,z) * w | T(u,a(x,y,z)) = w. [para(10835(a,2),216(a,2)),flip(a)]. 10837 T(L(x,y,z) \ x,L(x,y,z) * (x \ u)) = T(L(x,y,z) \ x,u). [hyper(58,a,8315,a,b,10811,a)]. 10838 a((1 / x) / y,z,K(u,y \ 1)) = a(z,x,K(u,x \ (y \ 1))). [para(4899(a,1),10787(a,2,3))]. 10839 T(x,L(y \ z,u,w) * (z \ y)) = L(x,u,K(w,z \ y)). [para(4431(a,1),10788(a,2,3))]. 10840 a((1 / x) / y,z,K(u,y)) = a(z,x,K(u,x \ (y \ 1))). [hyper(58,a,9390,a(flip),b,10838,a)]. 10841 a((1 / x) / y,z,K(y,u)) = a(z,x,K(u,x \ (y \ 1))). [para(28(a,1),10840(a,1,3))]. 10842 a(x,y,K(z,y \ (u \ 1))) = a(x,1 / y,K(u,z)). [hyper(58,a,10664,a(flip),b,10841,a),flip(a)]. 10843 a(x,y \ 1,K(z,u)) = a(x,1 / u,K(y,z)). [hyper(58,a,10657,a(flip),b,10842,a)]. 10844 a(x,y \ 1,K(z,u)) = a(x,y,K(z,u)). [hyper(272,a,10650,a(flip),b,10843,a),flip(a)]. 10845 a(x,L(y \ 1,z,u),K(w,v5)) = a(x,a(y,u,z) \ y,K(w,v5)). [hyper(58,a,5936,a(flip),b,10844,a),flip(a)]. 10846 L(K(x,y),z,u) * (u * (K(y,x) * z)) = z * T(u,K(y,x) * z). [hyper(7921,a,10603,a)]. 10847 (K(x,y) * z) * L(u,y,K(x,z)) = T(z,K(x,y)) * (K(x,y) * u). [para(28(a,1),10747(a,1,2,3))]. 10848 T(x,y \ ((y * (z / u)) * u)) = T(x,L(z,(u \ 1) \ y,u)). [para(666(a,1),10759(a,1,2,2))]. 10849 L(a(x \ 1,y,z) * u,z,K(y,x \ 1)) = u / (L(x,z,y) \ x). [para(28(a,1),10765(a,1,3))]. 10850 L(x,y,T(z,L(x,y,z) * u)) \ x = (L(x,y,z) * u) \ (x * u). [hyper(58,a,10773,a(flip),b,10807,a)]. 10851 L(x,y,T(z,L(x,y,z) * (x \ u))) \ x = T(L(x,y,z) \ x,u). [hyper(58,a,10773,a(flip),b,10837,a)]. 10852 T((x * (K(y,z) * u)) * L(K(z,y),u,x),K(y,L(z,u,x))) = u * T(x,K(y,z) * u). [hyper(58,a,7977,a,b,10846,a)]. 10853 T(x,K(y,z)) * (K(y,z) * u) = K(y,z) * (x * u). [hyper(10750,a,10847,a),flip(a)]. 10854 (x * T(y,K(z,u))) * K(z,u) = (x * K(z,u)) * y. [hyper(4945,a,10853,a)]. 10855 K(x,y) * (T(z,K(x,y)) * u) = z * (K(x,y) * u). [para(2765(a,1),10853(a,1,1)),flip(a)]. 10856 T(1 / x,K(y,z)) * (K(y,z) * (1 / u)) = K(y,z) * (1 / (u / (x \ 1))). [para(4026(a,2),10853(a,2,2))]. 10857 (x * K(y,z)) * T(u,K(y,z)) = (x * u) * K(y,z). [para(2765(a,1),10854(a,1,1,2)),flip(a)]. 10858 T(K(x,y),z) * (z * u) = z * (K(x,y) * u). [hyper(4239,a,10855,a)]. 10859 K(x,y) * (T(z,K(x,y)) \ u) = z \ (K(x,y) * u). [hyper(518,a,10855,a),flip(a)]. 10860 K(x,T(y,z)) * (z * u) = z * (K(x,y) * u). [para(5238(a,2),10858(a,1,1))]. 10861 x \ (K(y,T(z,x)) * u) = K(y,z) * (x \ u). [hyper(518,a,10860,a)]. 10862 K(x,T(y,z * u)) * T(u,z \ 1) = (z * u) * (K(x,y) * (z \ 1)). [para(378(a,1),10860(a,1,2))]. 10863 (x \ K(y,T(z,u))) * L(u,x,x) = x \ ((u * (K(y,z) * x)) / x). [para(10860(a,1),2019(a,1,2,1)),flip(a)]. 10864 K(x,T(y,(z * z) \ u)) * (u / z) = ((z * z) \ u) * (K(x,y) * z). [para(3250(a,1),10860(a,1,2))]. 10865 K(x,T(y,z \ u)) * T(u,z \ 1) = (z \ u) * (K(x,y) * ((z \ 1) \ 1)). [para(2975(a,1),10860(a,1,2))]. 10866 K(x,y * z) * (y * u) = y * (K(x,z * y) * u). [para(6073(a,1),10860(a,1,1))]. 10867 K(x,T(y,z)) * (z \ u) = z \ (K(x,y) * u). [para(2765(a,1),10861(a,1,2,1,2)),flip(a)]. 10868 (x * x) \ (K(y,z) * u) = K(y,z) * ((x * x) \ u). [para(5969(a,1),10861(a,1,2,1))]. 10869 T(x,y * (z \ (K(u,w) * (v5 \ 1)))) = T(x,y * (K(u,T(w,z)) / (v5 * z))). [para(10867(a,1),9702(a,1,2,2))]. 10870 (x * K(y,z)) \ (u * K(y,z)) = T(x \ u,K(y,z)). [hyper(112,a,136,a(flip),b,10857,a)]. 10871 (x * (y * x)) * K(z,u) = x * (y * (x * K(z,u))). [hyper(58,a,7528,a(flip),b,10857,a),flip(a)]. 10872 (x * K(y,z)) * (y * T(u,T(y,z))) = (x * (u * y)) * K(y,z). [para(4551(a,1),10857(a,1,2))]. 10873 K(x,y) * (z \ (K(x,y) * u)) = T(z,K(x,y)) \ u. [hyper(3909,a,10859,a)]. 10875 (x * x) \ (x * (K(y,z * (1 / x)) * u)) = K(y,(1 / x) * z) * ((1 / x) * u). [hyper(272,a,3353,a,b,10866,a)]. 10876 K(x,y) * ((x * x) \ z) != u | (1 / x) * (T(x,y) \ z) = u. [para(10868(a,1),4257(a,1))]. 10877 R(T(x,y * K(z,u)),y,K(z,u)) = T(y \ (x * y),K(z,u)). [hyper(810,a,10870,a)]. 10878 (x / K(y,z)) \ (u * K(y,z)) = T(x \ u,K(y,z)). [para(3923(a,2),10870(a,1,1))]. 10879 (x * y) * (z * ((x * y) * K(x,y))) = ((1 / (x * y)) \ z) * (y * x). [hyper(58,a,8078,a(flip),b,10871,a),flip(a)]. 10880 T(x,y) * (T(y,K(z,u)) \ 1) = T(y,K(z,u)) \ x. [hyper(58,a,6952,a,b,10873,a)]. 10881 T((x * K(y,z)) \ u,K(y,z)) = x \ (u * K(y,z)). [para(6(a,1),10878(a,1,1)),flip(a)]. 10882 T(x,T(y,K(z,u))) = T(x,y). [hyper(30,a,676,a,b,10880,a)]. 10883 T(x,K(y,z) * u) = T(x,u * K(y,z)). [hyper(6065,a,10882,a),flip(a)]. 10884 T(x,K(y,K(z,u))) = x. [hyper(35,a,5486,a(flip),b,10882,a),flip(a)]. 10885 K(x,T(y,K(z,u))) = x \ T(x,y). [hyper(112,a,10882,a(flip),b,2674,a(flip)),flip(a)]. 10888 T(x,K(y,z) * u) != w | T(x,u * K(y,z)) = w. [para(10882(a,1),6065(a,1))]. 10889 T(x,(K(y,z) * u) * w) = T(x,u * (w * K(y,z))). [para(6403(a,1),10882(a,1,2)),flip(a)]. 10890 K(x,K(y,z) * u) = K(x,u * K(y,z)). [hyper(6516,a,10884,a)]. 10891 (K(x,K(y,z)) * u) * w = u * (w * K(x,K(y,z))). [hyper(6404,a,10884,a)]. 10892 T(x,T(K(y,z),u)) = T(x,K(y,z)). [hyper(5497,a,10884,a)]. 10893 K(x,K(y,z)) * u = u * K(x,K(y,z)). [hyper(1665,a,10884,a),flip(a)]. 10894 K(x,K(y,z)) * (u * K(x,y)) = u * K(x,T(y,z)). [hyper(58,a,6844,a(flip),b,10884,a)]. 10895 T(K(x,K(y,z)),u) = K(x,K(y,z)). [hyper(49,a,10884,a)]. 10897 T(x,K(y,K(z,u))) != w | x = w. [para(10884(a,1),44(a,2))]. 10898 K(x,K(y,z)) * u != w | u * K(x,K(y,z)) = w. [para(10884(a,1),248(a,1,2))]. 10901 K(x,K(y,z)) * (u * w) = u * (K(x,K(y,z)) * w). [para(10884(a,1),10853(a,1,1)),flip(a)]. 10902 x \ (K(y,K(z,u)) * w) = K(y,K(z,u)) * (x \ w). [para(10884(a,1),10859(a,1,2,1)),flip(a)]. 10904 T(x,T(y,K(z,u))) != w | T(x,y) = w. [para(5487(a,1),10897(a,1))]. 10905 K(x,T(y,K(z,u))) = K(x,y). [hyper(272,a,2672,a,b,10885,a),flip(a)]. 10909 K(x,T(y,T(z,u))) = K(x,T(y,z)). [para(5485(a,1),10905(a,1,2))]. 10911 K(x,T(y,z * u)) = K(x,T(y,u * z)). [para(6034(a,1),10905(a,1,2))]. 10912 K(x,K(y,z) * u) != w | K(x,u * K(y,z)) = w. [para(10905(a,1),6084(a,1))]. 10913 K(x,(K(y,z) * u) * w) = K(x,u * (w * K(y,z))). [para(6403(a,1),10905(a,1,2)),flip(a)]. 10916 T(x,K(y,T(z,u))) = T(x,K(y,z)). [para(5238(a,2),10892(a,1,2))]. 10917 T(x,K(y,z / u)) = T(x,K(y,u \ z)). [para(5247(a,1),10892(a,1,2)),flip(a)]. 10918 K(x,T(K(y,z),u)) = K(x,K(y,z)). [hyper(5291,a,10895,a)]. 10920 K(x,K(y,z)) * T(x,u) = T(T(x,u),K(y,z)). [para(10895(a,1),5230(a,1,1))]. 10923 K(x,T(y,z \ (u \ z))) = K(x,T(y,u)). [hyper(58,a,6000,a,b,10909,a)]. 10924 T(K(x,y) * z,u) * K(y,T(x,w)) = K(y,T(x,w)) * T(z * K(x,y),u). [para(10909(a,1),7792(a,1,2))]. 10925 T(T(x,T(y,z)),K(u,y)) = T(x,T(T(y,z),u)). [hyper(5497,a,10916,a),flip(a)]. 10926 T(K(x,K(y,z)) * u,w) = T(u,w) * K(x,K(y,z)). [para(10918(a,1),10627(a,1,1,1))]. 10927 T(x,T(y,T(z,u))) != w | T(x,T(y,z)) = w. [para(5485(a,1),10904(a,1,2))]. 10928 T(x,T(y,z * u)) != w | T(x,T(y,u * z)) = w. [para(6034(a,1),10904(a,1,2))]. 10930 T(x,y * (z * K(y,u))) != w | T(x,T(y,u) * z) = w. [para(6588(a,1),10904(a,1,2))]. 10931 T(x,K(y,z) * u) = T(x,u * K(z,y)). [hyper(58,a,5772,a,b,10883,a)]. 10932 T(x,K(y,z) * (u * z)) = T(x,u * T(z,y)). [para(3659(a,1),10883(a,2,2))]. 10933 T(x,(y \ z) * K(y,u)) = T(x,T(y,u) \ z). [para(3886(a,1),10883(a,1,2)),flip(a)]. 10934 T(x,(y \ (y \ z)) * K(y,u)) = T(x,y \ (T(y,u) \ z)). [para(3945(a,1),10883(a,1,2)),flip(a)]. 10935 T(x,K(y,z \ 1) * (u * (z \ (1 / z)))) = T(x,(u / z) * T(1 / z,y)). [para(6412(a,1),10883(a,2,2))]. 10936 K(x,K(y,z) * u) = K(x,u * K(z,y)). [hyper(5773,a,10890,a)]. 10937 K(x,K(y,z) * (u / y)) = K(x,u / T(y,z)). [para(3987(a,1),10890(a,2,2))]. 10938 K(x,y * K(z,u)) != w | K(x,K(u,z) * y) = w. [para(10890(a,1),5773(a,1))]. 10939 (K(x,y) * z) * K(x,K(y,u)) = K(x,T(y,u)) * z. [hyper(58,a,5805,a(flip),b,10893,a),flip(a)]. 10941 K(x,T(y,z * u)) * ((u * z) \ w) = (u * z) \ (K(x,y) * w). [para(10911(a,1),10867(a,1,1))]. 10942 T(x,K(y / z,u)) = T(x,K(u,y \ z)). [hyper(58,a,5555,a,b,10917,a)]. 10944 K(x,T(y,z)) * T(T(x,y),u) = T(T(x,T(u,y)),K(y,z)). [hyper(58,a,5839,a(flip),b,10920,a)]. 10945 T(T(x,T(y,z)),K(y,u)) = T(x,T(T(y,z),u)). [hyper(3868,a,10925,a)]. 10946 T(T(x,K(y,z)),T(z,u)) = T(x,T(T(z,u),y)). [hyper(354,a,10925,a)]. 10947 T(x,K(y,(z * u) * u) * (w * ((u * u) * z))) = T(x,w * T((z * u) * u,y)). [para(3280(a,1),10932(a,1,2,2))]. 10948 T(x,K(y,T(T(z,u),w)) * T(z,T(w,u))) = T(x,K(z,u) * T(T(T(z,u),w),y)). [para(5429(a,1),10932(a,1,2,2))]. 10949 T(x,K(y,z) * u) != w | T(x,u * K(z,y)) = w. [para(28(a,1),10888(a,1,2,1))]. 10950 T(x,y * K(z,u)) != w | T(x,y * K(u,z)) = w. [para(10931(a,1),10888(a,1))]. 10952 K(x,K(y,z) * u) != w | K(x,u * K(z,y)) = w. [para(28(a,1),10912(a,1,2,1))]. 10954 T(L(T(x,K(y,z)),K(y,z),u),K(y,z)) = u \ ((u * (x * K(y,z))) * K(y,z)). [para(211(a,1),10881(a,1,1))]. 10955 T((x * K(y,z)) \ u,K(y,z)) = x \ (u * L(K(y,z),w,w)). [para(5576(a,2),10881(a,2,2,2))]. 10956 T((x * a(y,z,K(u,w))) \ v5,K(u,a(y,z,w))) = x \ (v5 * K(u,a(y,z,w))). [para(10274(a,2),10881(a,1,1,1,2))]. 10957 (x * K(y,K(z,u))) * w = x * (w * K(y,K(z,u))). [para(10893(a,1),10891(a,1,1))]. 10959 K(x,K(y,z)) * (u * w) = u * (w * K(x,K(y,z))). [para(10893(a,1),10901(a,2,2))]. 10960 x \ (K(y,K(z,u)) * w) = (x \ w) * K(y,K(z,u)). [hyper(272,a,10893,a(flip),b,10902,a),flip(a)]. 10961 x \ (y * (K(z,K(u,w)) * v5)) = K(z,K(u,w)) * (x \ (y * v5)). [para(10901(a,1),10902(a,1,2))]. 10962 K(x,(1 / y) * (z * K(u,w))) = K(x,(K(u,w) / y) * z). [para(5580(a,1),10913(a,1,2,1)),flip(a)]. 10963 T(x * K(y,K(z,u)),w) = T(x,w) * K(y,K(z,u)). [para(10893(a,1),10926(a,1,1))]. 10964 (x * y) * K(z,K(u,w)) = x * (y * K(z,K(u,w))). [hyper(10898,a,10959,a)]. 10965 (K(x,K(y,z)) * u) * w = K(x,K(y,z)) * (u * w). [hyper(272,a,10891,a,b,10959,a)]. 10966 (x \ K(y,z)) * K(y,K(u,z)) = x \ K(y,T(z,u)). [para(5514(a,1),10960(a,1,2)),flip(a)]. 10967 T(x * K(y,K(z,u)),w) / K(y,z) = T(x,w) / T(K(y,z),u). [para(10963(a,2),5513(a,1,1))]. 10968 L(x,y,K(z,K(u,w))) = x. [hyper(10762,a,10964,a)]. 10969 K(x,K(y,L(z,u,w))) = K(x,K(y,z)). [hyper(7958,a,10964,a)]. 10970 a(K(x,y),z,K(u,w)) = 1. [hyper(10752,a,10968,a)]. 10971 L(x,y,T(z,K(u,w))) = L(x,y,z). [hyper(10735,a,10968,a)]. 10972 T(x,a(K(y,z),u,w)) = x. [hyper(10703,a,10968,a)]. 10973 a(x,y,K(z,u)) * w = w * a(x,y,K(z,u)). [hyper(58,a,10835,a(flip),b,10968,a),flip(a)]. 10974 T(x,L(y,z,K(u,w))) = T(x,y). [hyper(58,a,10726,a(flip),b,10968,a)]. 10975 T(x,a(y,z,K(u,w))) = x. [hyper(215,a,10835,a(flip),b,10968,a(flip))]. 10976 L(x,y,K(z,K(u,w))) != v5 | x = v5. [para(10968(a,1),45(a,2))]. 10977 (x * (K(y,K(z,u)) * w)) \ (x * (K(y,K(z,u)) * (w * v5))) = L(v5,K(y,K(z,u)) * w,x). [para(10968(a,1),427(a,2,1))]. 10978 a(x,K(y,z),K(u,w)) = 1. [hyper(58,a,10678,a(flip),b,10970,a)]. 10979 L(K(x,y),z,K(u,w)) = K(x,y). [hyper(47,a,10970,a)]. 10980 T(x,K(y,a(z,u,w))) = x. [para(10570(a,1),10972(a,1,2))]. 10981 T(x,K(a(y,z,u),w)) = x. [para(10575(a,1),10972(a,1,2))]. 10982 x / a(y,z,K(u,w)) = a(y,z,K(u,w)) * x. [hyper(58,a,7953,a(flip),b,10975,a),flip(a)]. 10983 T(x,a(y,z,K(u,w))) != v5 | x = v5. [para(10975(a,1),44(a,2))]. 10984 L(K(x,y),K(z,u),w) = K(x,y). [hyper(47,a,10978,a)]. 10985 T(x,a(y,z,u) * w) = T(x,w * a(y,z,u)). [hyper(6110,a,10980,a)]. 10986 T(x,K(y,a(z,u,w))) != v5 | x = v5. [para(10980(a,1),44(a,2))]. 10987 T(x,a(y,z,u)) != w | T(x,T(a(y,z,u),v5)) = w. [para(10980(a,1),5497(a,1))]. 10988 T(x,y * a(z,u,w)) != v5 | T(x,a(z,u,w) * y) = v5. [para(10980(a,1),6110(a,1))]. 10989 T(a(x,y,z),K(u,w)) = a(x,y,z). [hyper(5762,a,10981,a)]. 10990 T(x,T(y,a(z,u,w))) != v5 | T(x,y) = v5. [para(10981(a,1),5490(a,1))]. 10991 T(x,a(y,z,u) * w) != v5 | T(x,w * a(y,z,u)) = v5. [para(10981(a,1),6110(a,1))]. 10992 L(x,y,K(z,u)) * T(w,x) = w * L(x,y,K(z,u)). [hyper(114,a,10974,a(flip),b,17,a(flip))]. 10993 T(x,(K(y,z) * u) \ (K(y,z) * w)) = T(x,u \ w). [para(89(a,1),10974(a,1,2))]. 10994 T(x,y) * L(y,z,K(u,w)) = L(y,z,K(u,w)) * x. [para(10974(a,1),2778(a,1,1))]. 10995 T(x,T(y,L(z,u,w))) = T(x,T(y,z)). [para(10702(a,1),10974(a,1,2))]. 10997 K(x,L(y,z,K(u,w))) = K(x,y). [hyper(58,a,8229,a(flip),b,10979,a)]. 10999 (K(x,y) * (z * K(u,w))) / K(u,w) = K(x,y) * z. [para(10979(a,1),169(a,1,2))]. 11001 K(x,L(y,K(z,u),w)) = K(x,y). [hyper(58,a,8229,a(flip),b,10984,a)]. 11007 K(x,L(y,z,T(u,w))) = K(x,L(y,z,u)). [para(7022(a,1),10997(a,1,2))]. 11009 K(x,T(y,L(z,u,w))) = K(x,T(y,z)). [para(10702(a,1),10997(a,1,2))]. 11010 K(x,(y * K(z,u)) \ w) = K(x,K(u,z) * (y \ w)). [para(3902(a,1),11001(a,1,2))]. 11011 L(x,y,T(z,T(u,w))) = L(x,y,T(z,u)). [para(5485(a,1),10971(a,1,3))]. 11012 L(x,y,z * (u * K(z,w))) = L(x,y,T(z,w) * u). [para(6588(a,1),10971(a,1,3))]. 11013 L(x,y,T(z,K(u,w))) != v5 | L(x,y,z) = v5. [para(7022(a,1),10976(a,1))]. 11014 T(T(a(x,y,z),u),K(w,v5)) = T(a(x,y,z),u). [para(10989(a,1),18(a,1,1)),flip(a)]. 11015 T(a(x,y,z),K(u,w)) != v5 | a(x,y,z) = v5. [para(10989(a,1),2810(a,1,1))]. 11016 T(a(x,y,z),T(u,w)) = T(a(x,y,z),u). [para(10989(a,1),5486(a,1,1)),flip(a)]. 11017 T(a(x,y,z),u * w) != v5 | T(a(x,y,z),w * u) = v5. [para(10989(a,1),6146(a,1,1))]. 11018 T(x,K(y,R(z,u,w))) = K(y,K(x,z)) * x. [para(10969(a,1),10610(a,1,1)),flip(a)]. 11021 T(x,T((y * z) * u,y)) = T(x,(z * u) * R(y,z,u)). [hyper(58,a,10618,a(flip),b,10995,a),flip(a)]. 11022 T(x,T(y * (z * u),u)) = T(x,L(u,z,y) * (y * z)). [hyper(58,a,6030,a(flip),b,10995,a),flip(a)]. 11023 T(x,(y * z) * a(y \ 1,u,w)) != v5 | T(x,L(y,w,u) * z) = v5. [para(10833(a,1),10990(a,1,2))]. 11024 K(x,L(y,z,K(u,w) * T(v5,u))) = K(x,L(y,z,K(u,w) * v5)). [para(5463(a,1),11007(a,1,2,3))]. 11025 T(a(T(x,y) \ 1,z,u),x) = a(T(x,y) \ 1,z,u). [hyper(2865,a,11016,a),flip(a)]. 11026 L(x,y,T(z,u * w)) != v5 | L(x,y,T(z,w * u)) = v5. [para(6034(a,1),11013(a,1,3))]. 11027 T(x,K(y,R(z,u,w))) = T(x,K(y,z)). [hyper(272,a,5521,a(flip),b,11018,a),flip(a)]. 11029 T(x,K(y,L(z,u,w))) = T(x,K(y,z)). [para(10604(a,1),11027(a,1,2))]. 11031 a(x,y,K(z,u)) \ ((w * (a(x,y,K(z,u)) * v5)) * a(x,y,K(z,u))) = ((1 / a(x,y,K(z,u))) \ w) * v5. [para(10982(a,1),7954(a,1,2,1,2))]. 11032 T(T(a(x,y,z),T(u,w \ 1)),K(v5,v6)) = T(a(x,y,z),T(u,w)). [hyper(272,a,5985,a(flip),b,11014,a),flip(a)]. 11033 T(a(x,y,z),T(u,w)) != v5 | T(a(x,y,z),u) = v5. [para(11014(a,1),5490(a,1))]. 11034 T(x,T(a(y,z,u),w)) = L(x,u,K(y,z)). [hyper(10987,a,10711,a(flip))]. 11035 K(x,K(y,z)) * ((K(x,y) * u) * w) = (K(x,T(y,z)) * u) * w. [para(5805(a,1),10965(a,1,1)),flip(a)]. 11036 T(x,(y \ K(z,u)) * (K(z,u) * w)) = T(x,y \ w). [hyper(58,a,6026,a(flip),b,10993,a)]. 11037 (K(x,y) * (z * K(u,w))) * K(u,w) = K(x,y) * z. [hyper(3929,a,10999,a)]. 11038 K(x,(y * K(z,u)) \ w) = K(x,(y \ w) * K(z,u)). [hyper(272,a,10936,a(flip),b,11010,a),flip(a)]. 11039 K(x,(y * K(z,u)) \ w) != v5 | K(x,(y \ w) * K(z,u)) = v5. [para(11010(a,2),10952(a,1))]. 11040 L(x,y,T(z,u) * (w / z)) = L(x,y,z * (w / T(z,u))). [para(3987(a,1),11012(a,1,3,2)),flip(a)]. 11041 (x \ L(T(x,y),z,u)) * K(x,y) = a(T(x,y) \ 1,u,z). [hyper(58,a,4306,a,b,11025,a)]. 11042 T(x,y \ (K(z,u) * w)) = T(x,(y \ K(z,u)) * w). [para(3893(a,1),11036(a,1,2,2)),flip(a)]. 11043 K(x,y) * ((K(x,y) * K(z,u)) * w) = K(z,u) * w. [hyper(6406,a,11037,a)]. 11044 K(x,(y * K(z,u)) \ w) != v5 | K(x,K(u,z) * (y \ w)) = v5. [para(11038(a,2),10938(a,1))]. 11045 T(x,y \ ((z \ K(u,w)) \ 1)) = T(x,(y \ K(u,w)) * z). [hyper(58,a,5785,a,b,11042,a)]. 11046 K(x,y) * (K(x,T(y,z)) * u) = K(x,K(y,z)) * u. [para(5516(a,1),11043(a,1,2,1))]. 11047 T(x,y * (z * K(u,y))) != w | T(x,T(y,u) * z) = w. [para(28(a,1),10930(a,1,2,2,2))]. 11048 T(a(x,y,z),u * K(w,v5)) != v6 | T(a(x,y,z),w * (u / T(w,v5))) = v6. [para(3990(a,1),11017(a,1,2))]. 11051 T(x,T(T(y,z) * (z * u),u)) = T(x,L(u,z,T(y,z)) * (z * y)). [para(2778(a,1),11022(a,2,2,2))]. 11052 T(x,T(y,z) \ (y \ u)) = T(x,y \ (T(y,z) \ u)). [hyper(58,a,10933,a(flip),b,10934,a)]. 11053 K(a(x,y,z),T(u \ 1,w)) * T(T(a(x,y,z),u),v5) = T(T(a(x,y,z),T(v5,u \ 1)),K(u \ 1,w)). [para(10303(a,1),10944(a,1,2,1))]. 11054 K(x,y \ (z * K(u,w))) = K(x,(K(u,w) / y) * z). [hyper(58,a,5967,a(flip),b,10962,a)]. 11055 L(x,y,K(z,u) * T(w,z)) = L(x,y,z * (w / T(z,u))). [hyper(58,a,9041,a,b,11040,a)]. 11056 R(T(x,y * K(z,u)),y,K(z,u)) = T(T(x,y),K(z,u)). [para(17(a,2),10877(a,2,1))]. 11057 L(T(x,y * K(z,u)),y,K(z,u)) = T(T(x,y),K(z,u)). [hyper(58,a,10698,a(flip),b,11056,a)]. 11058 L(T(x,(y \ (y \ 1)) * K(z,u)),y \ (y \ 1),K(z,u)) = T(L(x,y,y),K(z,u)). [para(4401(a,1),11057(a,2,1))]. 11059 L(T(x,y * (y * K(z,u))),y * y,K(z,u)) = T(T(x,y * y),K(z,u)). [para(5588(a,1),11057(a,1,1,2))]. 11060 L(T(x,K(y,z) * u),u,K(y,z)) = T(T(x,u),K(y,z)). [para(10883(a,2),11057(a,1,1))]. 11061 L(T(x,y),K(z,u) * y,K(z,u)) = T(T(x,K(z,u) * y),K(z,u)). [para(3893(a,1),11060(a,1,1,2))]. 11062 T((x * K(y,z)) \ u,K(y,z)) = (x \ 1) * (L(u,x,x) * K(y,z)). [hyper(272,a,5953,a,b,10955,a),flip(a)]. 11063 K(x,(K(y,z) * u) \ w) != v5 | K(x,(T(u,K(y,z)) \ w) * K(y,z)) = v5. [para(2778(a,1),11039(a,1,2,1))]. 11064 (T(x,y) \ (x * z)) * (x * z) = (T(z,x) * (z * x)) * K(x,y). [hyper(58,a,7493,a(flip),b,10872,a)]. 11065 T(K(x,T(y,z)) * u,w) / K(x,y) = T(K(x,y) * u,w) / T(K(x,y),z). [para(10939(a,1),10967(a,1,1,1))]. 11066 K(x,L(y,z,u * (w / T(u,v5)))) = K(x,L(y,z,K(u,v5) * w)). [para(11055(a,1),11024(a,1,2))]. 11067 T(T(a(x,y,z),T(u,w \ 1)),K(v5,v6)) = a(x,y,K(z,w)) * T(T(a(x,y,z),w),u). [hyper(272,a,10290,a,b,11032,a),flip(a)]. 11068 ((K(x,T(y,z)) * u) * w) \ (K(x,K(y,z)) * ((K(x,y) * u) * (w * v5))) = L(L(v5,w,K(x,y) * u),(K(x,y) * u) * w,K(x,K(y,z))). [para(11035(a,1),427(a,1,1))]. 11069 (T(x,y) \ (x * z)) * (x * z) = (z * (T(z,x) * x)) * K(x,y). [para(1000(a,1),11064(a,2,1))]. 11070 (T(x,y) \ (x * z)) * (x * z) = (z * (x * z)) * K(x,y). [para(2778(a,1),11069(a,2,1,2))]. 11071 (T(x,y) \ (x * z)) * (x * z) = z * (x * (z * K(x,y))). [hyper(272,a,10871,a(flip),b,11070,a),flip(a)]. 11072 (K(x,y) * z) * (x * z) = z * (x * (z * K(x,y))). [para(3944(a,1),11071(a,1,1))]. 11073 ((T(x,y) * z) \ x) * (T(x,y) / (x * z)) = (z * (x * (z * K(x,y)))) \ T(x,y). [para(11071(a,1),6968(a,1,1)),flip(a)]. 11074 ((x * y) \ T(y,z)) * (T(y,z) / (x * y)) = (x * (y * (x * K(y,z)))) \ T(y,z). [para(11072(a,1),9415(a,2,1))]. 11075 L(a(x \ 1,y,z) * u,z,K(x,y)) = u / (L(x,z,y) \ x). [hyper(58,a,8944,a(flip),b,10849,a)]. 11076 L((x \ L(x,y,z)) * u,y,K(x,z)) = u / (L(x,y,z) \ x). [para(1181(a,1),11075(a,1,1,1))]. 11077 L((x \ L(x,y,z)) * u,y,K(x,z)) = u * (x \ L(x,y,z)). [hyper(272,a,10797,a(flip),b,11076,a),flip(a)]. 11078 L(L(x,y,z) * (x \ u),y,K(x,z)) = u * (x \ L(x,y,z)). [para(8307(a,1),11077(a,1,1))]. 11079 (x \ K(y,T(z,u))) * L(u,x,x) = x \ (x * ((x \ u) * K(y,z))). [para(5590(a,1),10863(a,2,2))]. 11080 T(x,T(T(y,z) * (z * u),u)) = T(x,L(u,z,y) * (z * y)). [para(8947(a,1),11051(a,2,2,1))]. 11081 (K(x,y) * (z \ 1)) * L(u,z,z) = (z * K(x,y)) \ u. [hyper(6404,a,11062,a)]. 11082 L(x,y,y) * T(K(z,u) * (y \ 1),(K(z,u) * (y \ 1)) \ 1) = T((y * K(z,u)) \ x,(K(z,u) * (y \ 1)) \ 1). [para(11081(a,1),3878(a,1,1)),flip(a)]. 11083 (x \ K(y,T(z,u))) * L(u,x,x) != w | (x \ u) * K(y,z) = w. [para(11079(a,2),287(a,1))]. 11084 ((K(x,y) * z) * u) \ ((K(y,x) * z) * (u * y)) = L(y,u,z). [para(10673(a,1),10672(a,1,2))]. 11085 ((K(x,y) * z) * u) \ ((K(x,y) * z) * (u * y)) = L(y,u,z). [para(28(a,1),11084(a,1,2,1,1))]. 11086 L(x,y,K(z,x) * u) = L(x,y,u). [hyper(430,a,11085,a)]. 11087 a(x,K(y,x \ 1) * z,u) = x * L(x \ 1,u,z). [hyper(114,a,11086,a(flip),b,1184,a(flip)),flip(a)]. 11090 a(x,K(y,x \ 1) * z,u) != w | a(x,z,u) = w. [para(11087(a,2),1204(a,1))]. 11091 (1 / (L(T(x,y),z,u) \ x)) * K(x,y) = a(x \ 1,T(u,y),z). [hyper(272,a,2535,a(flip),b,10786,a),flip(a)]. 11092 (x \ L(T(x,y),z,u)) * K(x,y) = a(x \ 1,T(u,y),z). [para(6468(a,1),11091(a,1,1))]. 11093 a(T(x,y) \ 1,z,u) = a(x \ 1,T(z,y),u). [hyper(58,a,11041,a(flip),b,11092,a)]. 11094 a((1 / x) \ 1,T(y,z),u) = a(T(x,z),y,u). [hyper(58,a,9590,a(flip),b,11093,a),flip(a)]. 11095 a(T(x,y),z,u) = a(x,T(z,y),u). [para(74(a,1),11094(a,1,1)),flip(a)]. 11096 a((x \ y) \ y,z,u) = a(x,T(z,y),u). [hyper(58,a,9591,a,b,11095,a)]. 11097 a(x,T(y,x * z),u) = a(T(x,z),y,u). [hyper(58,a,9588,a(flip),b,11095,a),flip(a)]. 11098 K(x,x \ y) * L((x \ y) \ y,z,u) = x * a(x \ 1,T(u,y),z). [para(11095(a,1),7058(a,2,2))]. 11099 T(x,T(y,z) * (a(1 / y,T(u,z),w) * v5)) = T(x,L(T(y,y \ z),w,u) * v5). [para(11095(a,1),9499(a,1,2,2,1))]. 11100 a(x * (y / x),z,u) = a(y,T(z,x),u). [hyper(58,a,10519,a(flip),b,11096,a)]. 11101 a(x,T(y,x * z),u) = a(x,T(y,z),u). [hyper(272,a,11095,a(flip),b,11097,a),flip(a)]. 11102 a(x * y,T(z,y),u) = a(y * x,z,u). [para(6(a,1),11100(a,1,1,2)),flip(a)]. 11103 K(x,T(y,z \ (z \ u))) * (u / z) = ((z * z) \ u) * (K(x,y) * z). [para(5980(a,1),10864(a,1,1,2))]. 11104 ((1 / (x * y)) \ z) * (y * x) = (x * y) * (z * (x * T(y,x))). [para(3659(a,1),10879(a,1,2,2)),flip(a)]. 11105 ((1 / (x * y)) \ z) * (y * x) = (x * y) * (z * (y * x)). [para(98(a,1),11104(a,2,2,2))]. 11106 (x * y) * (x * (y * x)) = x * (x * ((y * x) * y)). [hyper(58,a,7216,a(flip),b,11105,a),flip(a)]. 11107 (x \ T(y,z)) * ((x \ T(y,z)) * (((y \ x) * (x \ T(y,z))) * (y \ x))) = ((x \ T(y,z)) * (y \ x)) * ((y \ x) \ 1). [para(7478(a,1),11106(a,1,2)),flip(a)]. 11108 K(x,x \ y) * L((x \ y) \ y,z,u) = L(x,z,T(u,y)). [hyper(272,a,1183,a,b,11098,a),flip(a)]. 11109 L(x,y,T(z,x \ u)) = L(x,y,T(z,u)). [hyper(58,a,10785,a(flip),b,11108,a)]. 11110 L(x,y,T(z,x * u)) = L(x,y,T(z,u)). [para(4(a,1),11109(a,1,3,2)),flip(a)]. 11111 L(x,y,T(z,u * x)) = L(x,y,T(z,u)). [hyper(11026,a,11110,a)]. 11112 (x * (x * K(y,z))) * L(u,z,a(x,x,y)) = (x * x) * (K(y,z) * u). [para(4211(a,1),10748(a,1,2,3))]. 11113 (x * (x * K(y,z))) * u = (x * x) * (K(y,z) * u). [para(8401(a,1),11112(a,1,2))]. 11114 (1 / T(x,K(y,z))) * (K(y,z) * (1 / u)) = K(y,z) * (1 / (u / (x \ 1))). [para(5562(a,2),10856(a,1,1))]. 11115 K(x,T(y,z \ u)) * T(u,z \ 1) = (z \ u) * ((z \ K(x,y)) \ 1). [para(4103(a,1),10865(a,2,2))]. 11116 T(x,y * (K(z,T(u,w)) / (v5 * w))) = T(x,y * (w \ (K(z,u) / v5))). [hyper(58,a,8711,a(flip),b,10869,a),flip(a)]. 11118 T(x,K(y,z \ 1) * (u / (z * z))) = T(x,(u / z) * T(1 / z,y)). [hyper(58,a,9701,a(flip),b,10935,a)]. 11119 T(x,K(y,z \ 1) * (z \ (z \ u))) = T(x,(u / z) * T(1 / z,y)). [para(3009(a,1),11118(a,1,2,2))]. 11120 T(x,T(y,z * y) \ (y \ u)) = T(x,(u / y) * T(1 / y,z)). [para(3951(a,1),11119(a,1,2))]. 11121 T(x,y \ (T(y,z * y) \ u)) = T(x,(u / y) * T(1 / y,z)). [hyper(58,a,11052,a(flip),b,11120,a)]. 11122 T(x,(y / z) * T(1 / z,u)) = T(x,z \ (T(z,u) \ y)). [hyper(58,a,8653,a(flip),b,11121,a),flip(a)]. 11123 T(K(x,y) * z,u) / T(K(x,y),w) = T(K(x,T(y,w)) * z,u) * K(y,x). [hyper(3916,a,11065,a),flip(a)]. 11124 (1 / T(x,K(y,z))) * (K(y,z) / u) = K(y,z) * (1 / (u / (x \ 1))). [para(5580(a,1),11114(a,1,2))]. 11125 (1 / T(x,K(y,z))) * (K(y,z) / u) = K(y,z) / (u / (x \ 1)). [hyper(272,a,5580,a(flip),b,11124,a),flip(a)]. 11126 T(K(x,y) * z,u) / K(x,T(y,w)) = T(K(x,T(y,w)) * z,u) * K(y,x). [para(5238(a,2),11123(a,1,2))]. 11127 T(K(x,T(y,z)) * u,w) * K(y,x) = T(K(x,y) * u,w) * K(y,T(x,z)). [hyper(5280,a,11126,a),flip(a)]. 11128 K(x,y) * T(K(y,K(x,z)) * (u * K(y,x)),w) = T(K(y,x) * u,w) * K(x,T(y,z)). [hyper(58,a,6553,a,b,11127,a)]. 11129 L(x,y,z * ((((u * w) \ u) * v5) * v6)) = L(x,y,z * ((w \ v5) * v6)). [hyper(58,a,10475,a(flip),b,10540,a),flip(a)]. 11131 L(x,y,z * (((u \ w) \ v5) * v6)) = L(x,y,z * (((w \ u) * v5) * v6)). [para(5(a,1),11129(a,1,3,2,1,1,1)),flip(a)]. 11132 L(x,y,z * (((u \ w) * v5) * T(v6,(w \ u) \ v5))) = L(x,y,z * (v6 * ((w \ u) \ v5))). [para(98(a,1),11131(a,1,3,2)),flip(a)]. 11133 T(L(T(x,K(y,z)),z,K(u,y)),K(y,z)) = u \ ((u * (x * K(y,z))) * K(y,z)). [para(10745(a,1),10954(a,1,1))]. 11134 (x * a(y,z,K(u,w))) \ v5 = x \ (v5 * K(u,a(y,z,w))). [hyper(10986,a,10956,a)]. 11136 (x * a(y,z,K(u,w))) \ v5 = x \ (v5 * a(y,z,K(u,w))). [para(10274(a,2),11134(a,2,2,2))]. 11137 (a(x,y,K(z,u)) * w) \ v5 = w \ (v5 * a(x,y,K(z,u))). [para(10973(a,2),11136(a,1,1))]. 11138 T(L(T(x,K(y,z)),z,K(y,u)),K(y,z)) = u \ ((u * (x * K(y,z))) * K(y,z)). [para(28(a,1),11133(a,1,1,3))]. 11139 L(T(T(x,K(y,z)),K(y,z)),z,K(y,u)) = u \ ((u * (x * K(y,z))) * K(y,z)). [hyper(58,a,103,a,b,11138,a)]. 11140 x \ ((x * (y * K(z,u))) * K(z,u)) = L(y,u,K(z,x)). [para(2765(a,1),11139(a,1,1)),flip(a)]. 11141 x \ (K(y,z) * ((K(y,z) * x) * u)) = L(u,z,K(y,x)). [para(6405(a,1),11140(a,1,2))]. 11142 L(x,K(y,z) * u,K(y,z)) = L(x,z,K(y,u)). [hyper(3910,a,11141,a)]. 11143 T(T(x,K(y,z) * u),K(y,z)) = L(T(x,u),z,K(y,u)). [hyper(58,a,11061,a(flip),b,11142,a)]. 11144 T(T(x,K(y,z) * u),K(y,z)) = T(x,L(u,z,y)). [hyper(272,a,10702,a(flip),b,11143,a),flip(a)]. 11145 T(T(x,K(y,z)),K(y,z) * u) = T(x,L(u,z,y)). [hyper(354,a,11144,a)]. 11146 x * ((1 / x) / L(x \ 1,x \ 1,y)) = (L(x,x,y) \ 1) * (x / (x \ 1)). [para(5085(a,1),10438(a,1,1)),flip(a)]. 11147 x * ((1 / x) / L(x \ 1,x \ 1,y)) = (L(x,x,y) \ 1) * ((1 / x) \ x). [para(2914(a,1),11146(a,2,2))]. 11148 x * ((1 / x) / L(x \ 1,x \ 1,y)) = L(x,x,y) \ ((1 / x) \ x). [hyper(272,a,5183,a(flip),b,11147,a),flip(a)]. 11149 (x \ 1) * (x / L(x \ 1,x \ 1,y)) = L(x,x,y) \ ((1 / x) \ x). [hyper(58,a,4639,a,b,11148,a)]. 11150 x * ((1 / x) / (L(x,x,y) \ 1)) = L(x,x,y) \ ((1 / x) \ x). [para(5085(a,1),11148(a,1,2,2))]. 11151 L(x,x,y) \ ((1 / x) \ x) = x * ((x \ 1) * L(x,x,y)). [para(7155(a,1),11150(a,1,2)),flip(a)]. 11152 L(x,x,y) \ ((1 / x) \ x) = x * (x * (1 / L(x,x,y))). [para(10437(a,1),11151(a,2,2))]. 11153 L(x,x,y) \ ((1 / x) \ x) = x * a(x,x,x * y). [para(10507(a,1),11152(a,2,2))]. 11154 L(x,x,y) \ ((1 / x) \ x) = L(x,x,x * y). [hyper(272,a,10359,a(flip),b,11153,a),flip(a)]. 11156 (x \ 1) * (x / L(x \ 1,x \ 1,y)) = L(x,x,x * y). [hyper(272,a,11154,a(flip),b,11149,a),flip(a)]. 11157 (x \ 1) * (x / (L(x,x,y) \ 1)) = L(x,x,x * y). [para(5085(a,1),11156(a,1,2,2))]. 11158 L((x \ y) \ 1,(x \ y) \ 1,x) \ 1 = a(y,x \ y,x \ y) / ((x \ y) \ 1). [para(4244(a,2),10520(a,2,1))]. 11159 K(x,T((y * ((y * z) \ y)) \ u,z \ 1)) = K(x,(y * (u / y)) / (z \ y)). [para(4464(a,1),10690(a,1,2))]. 11160 K(x,T((y * ((y * z) \ y)) \ u,z)) = K(x,(y * (u / y)) / (z \ y)). [hyper(58,a,5971,a(flip),b,11159,a)]. 11162 K(x,T((y * ((y * z) \ y)) \ u,z)) = K(x,(y * (u / y)) * (y \ z)). [hyper(272,a,8625,a(flip),b,11160,a),flip(a)]. 11163 K(x,T((y * ((y * z) \ y)) \ u,z)) = K(x,T(u,y) * (y \ z)). [hyper(272,a,8554,a(flip),b,11162,a),flip(a)]. 11164 K(x,T(((y \ (y * z)) / y) * u,z)) = K(x,T(u,y) * (y \ z)). [hyper(9829,a,11163,a)]. 11165 K(x,T((y / z) * u,y)) = K(x,T(u,z) * (z \ y)). [para(4(a,1),11164(a,1,2,1,1,1))]. 11166 K(x,T((y / z) / u,y)) = K(x,T(1 / u,z) * (z \ y)). [hyper(58,a,6138,a(flip),b,11165,a)]. 11167 T(x,T((y / z) * u,y)) = x * K(x,T(u,z) * (z \ y)). [hyper(114,a,11165,a(flip),b,2672,a(flip)),flip(a)]. 11168 K(x,T(y,T(z,u)) * (T(z,u) \ (u * u))) = K(x,T(((u / z) * u) * y,u * u)). [para(3331(a,1),11165(a,1,2,1,1)),flip(a)]. 11169 K(x,T((y / z) / u,y)) = K(x,T(u,z) \ (z \ y)). [hyper(272,a,8611,a(flip),b,11166,a),flip(a)]. 11170 T(x,T((y / z) * u,y)) = T(x,T(u,z) * (z \ y)). [hyper(272,a,2674,a,b,11167,a),flip(a)]. 11171 T(x,T((y / z) * u,y)) != w | T(x,T(u,z) * (z \ y)) = w. [para(11167(a,2),2737(a,1))]. 11172 T(a(x,y,z),T(u,w) * (w \ v5)) = T(a(x,y,z),(v5 / w) * u). [hyper(11033,a,11170,a),flip(a)]. 11173 T(x,T(((y / z) * (y / z)) * u,y)) = T(x,T((y / z) * u,z) * (z \ y)). [hyper(58,a,6121,a,b,11170,a)]. 11174 T(x,T((y * z) * u,y)) = T(x,T(u,1 / z) * ((1 / z) \ y)). [hyper(58,a,9903,a(flip),b,11170,a)]. 11175 T(x,T(y,z \ u) * ((z \ u) \ u)) = T(x,T(z * y,u)). [para(72(a,1),11170(a,1,2,1,1)),flip(a)]. 11176 T(x,T(L((y / z) \ 1,u,w),z) * (z \ y)) = T(x,T(a(y / z,w,u),y)). [para(1178(a,2),11170(a,1,2,1)),flip(a)]. 11177 T(x,T((y * y) * z,(u * y) * y)) = T(x,T(z,u) * (u \ ((u * y) * y))). [para(3256(a,1),11170(a,1,2,1,1))]. 11178 T(x,T((((1 / y) * z) \ 1) * u,z \ 1)) = T(x,T(u,y \ 1) * ((y \ 1) \ (z \ 1))). [para(4133(a,1),11170(a,1,2,1,1))]. 11179 T(x,T(y,z \ u) * (u * (z / u))) = T(x,T(z * y,u)). [hyper(58,a,5057,a(flip),b,11175,a)]. 11180 T(x,T(y,z \ u) * T(z,u)) = T(x,T(z * y,u)). [hyper(8595,a,11179,a)]. 11181 T(x,T(y * (z * z),u)) = T(x,T(y,u) * (z * z)). [hyper(58,a,10486,a(flip),b,11180,a),flip(a)]. 11182 T(x,T(y * (z * z),u)) = T(x,z * (z * T(y,u))). [hyper(58,a,10484,a(flip),b,11180,a),flip(a)]. 11183 T(x,T(y * (y * z),u)) = T(x,y * (y * T(z,u))). [para(2956(a,1),11182(a,1,2,1))]. 11184 T(x,y * (y * T((y * y) \ z,u))) = T(x,T(y * ((y \ 1) * z),u)). [para(3527(a,1),11183(a,1,2,1,2)),flip(a)]. 11185 T(a(x,y,z),(u \ w) * T(v5,u)) = T(a(x,y,z),(w / u) * v5). [hyper(11017,a,11172,a)]. 11186 T(x,T((y * L(z,z,u)) * w,y)) = T(x,T(w,1 / z) * ((1 / L(z,z,u)) \ y)). [para(9698(a,1),11174(a,2,2,1))]. 11187 T(x,y * (y * T((y * y) \ z,u))) = T(x,T(L(z,y,y),u)). [para(3109(a,1),11184(a,2,2,1))]. 11188 T(x,y * (y * T((y * y) \ z,u))) = T(x,L(T(z,u),y,y)). [para(20(a,2),11187(a,2,2))]. 11189 T(x,y * (y * T((y * y) \ z,u))) != w | T(x,T(z,u)) = w. [para(11188(a,2),5977(a,1))]. 11190 T(x,T(((y \ z) * (y \ z)) * u,z)) = T(x,T((z / y) * u,y) * (y \ z)). [para(4115(a,1),11173(a,1,2,1,1))]. 11191 T(x,T(L((y / z) \ 1,u,w),z) * (z \ y)) = L(x,u,K(y / z,w)). [hyper(272,a,11034,a(flip),b,11176,a),flip(a)]. 11193 T(x,T(L((y / z) \ 1,u,w),z) * (z \ y)) = L(x,u,K(w,y / z)). [para(28(a,1),11191(a,2,3))]. 11194 T(x,L(T((y / z) \ 1,z),u,w) * (z \ y)) = L(x,u,K(w,y / z)). [para(20(a,2),11193(a,1,2,1))]. 11195 T(x,L(y \ z,u,w) * (z \ y)) = L(x,u,K(w,y / z)). [para(2257(a,1),11194(a,1,2,1,1))]. 11196 L(x,y,K(z,u / w)) = L(x,y,K(z,w \ u)). [hyper(58,a,10839,a(flip),b,11195,a),flip(a)]. 11198 L(x,y,K(z,(u * w) / (u \ 1))) = L(x,y,K(z,(u * u) * w)). [para(3523(a,1),11196(a,2,3,2))]. 11199 L(x,y,K(z,(u * w) * u)) = L(x,y,K(z,(u * u) * w)). [para(6067(a,1),11198(a,1,3))]. 11200 L(x,y,K(z,(u * u) * w)) = L(x,y,K(z,u * (w * u))). [para(5997(a,1),11199(a,1,3)),flip(a)]. 11201 L(x,y,K(z,u * (w * u))) = L(x,y,K(z,u * (u * w))). [para(5974(a,1),11200(a,1,3)),flip(a)]. 11202 L(x,y,K(z,u * (u * (w * (v5 / u))))) = L(x,y,K(z,((1 / u) \ w) * v5)). [para(108(a,1),11201(a,1,3,2)),flip(a)]. 11203 T(x,T((y * y) * z,y * (y * u))) = T(x,T(z,u) * (u \ ((u * y) * y))). [para(6015(a,1),11177(a,1,2))]. 11204 T(x,T((y \ z) * ((y \ z) * u),z)) = T(x,T((z / y) * u,y) * (y \ z)). [hyper(6851,a,11190,a)]. 11205 L(x,y,K(z,u * (u * (w * (v5 / u))))) = L(x,y,K(z,(u * w) * v5)). [para(8548(a,1),11202(a,2,3))]. 11206 T(x,T(y * (y * z),y * (y * u))) = T(x,T(z,u) * (u \ ((u * y) * y))). [hyper(6851,a,11203,a)]. 11207 T(x,T(y * ((z \ u) * (z \ u)),u)) = T(x,T((u / z) * y,z) * (z \ u)). [para(2956(a,2),11204(a,1,2,1))]. 11208 T(x,T(y * (y * z),y * (y * u))) = T(x,T(z,u) * T(y * y,u)). [para(3278(a,1),11206(a,2,2,2))]. 11209 T(x,T(y * (y * z),y * (y * u))) = T(x,y * (y * T(z,u))). [hyper(272,a,10433,a(flip),b,11208,a),flip(a)]. 11211 T(x,y * (y * T(y \ (y \ z),u))) = T(x,T(z,y * (y * u))). [para(68(a,1),11209(a,1,2,1)),flip(a)]. 11212 T(x,(y * y) * T((y * y) \ z,u)) = T(x,T(z,y * (y * u))). [para(785(a,2),11211(a,1,2))]. 11213 T(x,y * (y * T((y * y) \ z,u))) = T(x,T(z,y * (y * u))). [hyper(6103,a,11212,a)]. 11214 T(x,T(y,z * (z * u))) = T(x,T(y,u)). [hyper(11189,a,11213,a),flip(a)]. 11215 T(x,T(y,z * (z * u))) != w | T(x,T(y,u)) = w. [para(11213(a,1),11189(a,1))]. 11216 T(T(x,y),T(y,z)) = T(x,K(y,u * (u * z))). [hyper(5494,a,11214,a),flip(a)]. 11218 K(x,T(y,z * (z * u))) = x \ T(x,T(y,u)). [hyper(112,a,11214,a(flip),b,2674,a(flip)),flip(a)]. 11219 T(x,T(y,z \ u)) = T(x,T(y,z * u)). [para(5(a,1),11214(a,1,2,2,2)),flip(a)]. 11220 T(x,T(y,z * (u * u))) = T(x,T(y,z)). [para(2956(a,2),11214(a,1,2,2))]. 11221 T(T(x,T(y,z * u)),K(y,w)) = T(x,T(T(y,z \ u),w)). [para(11219(a,1),10945(a,1,1))]. 11222 T(x,T(y,z * (u * (w * (u * w))))) = T(x,T(y,z)). [para(9442(a,1),11220(a,1,2))]. 11223 T(x,K(y,z * (z * u))) = T(x,K(y,u)). [hyper(5494,a,11216,a),flip(a)]. 11224 T(x,K(y * (y * z),u \ w)) = T(x,K(u / w,z)). [hyper(58,a,10942,a(flip),b,11223,a)]. 11225 T(x,K(y,z \ u)) = T(x,K(y,z * u)). [para(5(a,1),11223(a,1,2,2,2)),flip(a)]. 11226 K(x,T(y,z * (z * u))) = K(x,T(y,u)). [hyper(272,a,2672,a,b,11218,a),flip(a)]. 11227 K(x,T(y,z \ u)) = K(x,T(y,z * u)). [para(5(a,1),11226(a,1,2,2,2)),flip(a)]. 11228 K(x,T(y,z * (u \ z))) = K(x,T(y,u)). [hyper(58,a,10923,a(flip),b,11227,a),flip(a)]. 11229 K(x,T(y,z * u)) * T(u,z \ 1) = (z \ u) * ((z \ K(x,y)) \ 1). [para(11227(a,1),11115(a,1,1))]. 11230 T(x,T(y,z * (u * u))) != w | T(x,T(y,z)) = w. [para(2956(a,2),11215(a,1,2,2))]. 11231 T(x,T(y,z * (u * z))) = T(x,T(y,u)). [hyper(11215,a,11222,a)]. 11232 T(x,T(y,z / u)) = T(x,T(y,u * z)). [para(7(a,1),11231(a,1,2,2,2)),flip(a)]. 11233 T(x,K(y * (y * z),u \ w)) = T(x,K(z,u / w)). [hyper(272,a,3858,a,b,11224,a),flip(a)]. 11234 T(x,K(y * (y * z),u \ w)) = T(x,K(z,w \ u)). [hyper(272,a,10917,a(flip),b,11233,a),flip(a)]. 11235 T(x,K(y * (y * z),u * w)) = T(x,K(z,w \ u)). [hyper(58,a,11225,a(flip),b,11234,a)]. 11236 T(x,K(y * (y * z),u * w)) = T(x,K(z,w * u)). [hyper(272,a,11225,a(flip),b,11235,a),flip(a)]. 11237 T(x,T(T(y,z \ u),w)) = T(x,T(T(y,z * u),w)). [hyper(58,a,10945,a(flip),b,11221,a),flip(a)]. 11238 (x \ y) * ((x \ K(z,u)) \ 1) = (x * y) * (K(z,u) * (x \ 1)). [hyper(58,a,10862,a(flip),b,11229,a),flip(a)]. 11239 x * ((x * y) * (K(z,u) * (x \ 1))) = (y * (x * (x * K(z,u)))) / x. [para(11238(a,1),6917(a,1,2))]. 11240 ((x * (x * y)) * K(z,u)) / x = (y * (x * (x * K(z,u)))) / x. [hyper(1138,a,11239,a)]. 11241 T(x,T((y / z) * u,z) * (z \ y)) != w | T(x,T(u * (y * (z \ (y / z))),y)) = w. [para(11207(a,1),10129(a,1))]. 11242 (x * x) \ (x * (K(y,z * (1 / x)) * u)) = K(y,x \ z) * ((1 / x) * u). [para(5967(a,1),10875(a,2,1))]. 11243 (x * x) \ (x * (K(y,z / x) * u)) = K(y,x \ z) * ((1 / x) * u). [para(6072(a,1),11242(a,1,2,2,1))]. 11244 K(x,y \ z) * ((1 / y) * u) = (1 / y) * (K(x,z / y) * u). [hyper(3354,a,11243,a),flip(a)]. 11245 L(x,(1 / y) * (K(z,u / y) * (w \ 1)),v5) = L(x,K(z,y \ u) * ((1 / y) / w),v5). [para(11244(a,1),9232(a,1,2))]. 11246 T(x,K(y,z * (u * u)) * (w * ((u * u) * z))) = T(x,w * T((z * u) * u,y)). [para(6053(a,1),10947(a,1,2,1))]. 11247 L(T(x,(y * y) \ K(z,u)),y \ (y \ 1),K(z,u)) = T(L(x,y,y),K(z,u)). [para(4373(a,1),11058(a,1,1,2))]. 11248 L(T(x,y \ (y \ K(z,u))),y \ (y \ 1),K(z,u)) = T(L(x,y,y),K(z,u)). [para(5980(a,1),11247(a,1,1))]. 11249 T(x,y \ (y \ K(z,u))) = T(L(x,y,y),K(z,u)). [hyper(10724,a,11248,a)]. 11250 T(x,y \ (y \ K(z,u))) = L(T(x,K(z,u)),y,y). [hyper(272,a,20,a,b,11249,a),flip(a)]. 11252 (x * (y * (x * K(y,z)))) \ T(y,z) = (y / x) / (x * y). [hyper(58,a,7593,a(flip),b,11074,a),flip(a)]. 11254 ((T(x,y) * z) \ x) * (T(x,y) / (x * z)) = (x / z) / (z * x). [hyper(58,a,11073,a,b,11252,a)]. 11256 ((x * y) \ T(x,z)) * (T(x,z) / (x * y)) = (x / y) / (y * x). [para(5654(a,1),11254(a,1,1))]. 11257 ((x * y) \ x) * (x / (x * y)) = (x / y) / (y * x). [hyper(58,a,5924,a(flip),b,11256,a)]. 11258 (x / y) / (y * x) = (x * y) \ (y \ x). [hyper(58,a,5030,a(flip),b,11257,a),flip(a)]. 11259 (x / y) / (y * x) = y \ (x \ (y \ x)). [hyper(272,a,6841,a(flip),b,11258,a),flip(a)]. 11260 T(x,T(y,z) * (a(y \ 1,T(u,z),w) * v5)) = T(x,L(T(y,y \ z),w,u) * v5). [para(2517(a,1),11099(a,1,2,2,1))]. 11261 K(x,T(y,T(z,u)) * (T(z,u) \ (u * u))) = K(x,((u / z) * u) * y). [hyper(272,a,5969,a(flip),b,11168,a),flip(a)]. 11263 K(x,T(y,T(z,u)) * (T(z,u) \ (u * u))) = K(x,(u * (z \ u)) * y). [hyper(272,a,8503,a(flip),b,11261,a),flip(a)]. 11264 K(x,T(y,T(z,u)) * (u * (z \ u))) = K(x,(u * (z \ u)) * y). [para(3369(a,1),11263(a,1,2,2))]. 11265 T(x,T((y * L(z,z,u)) * w,y)) = T(x,T(w,z \ 1) * ((1 / L(z,z,u)) \ y)). [para(1967(a,1),11186(a,2,2,1))]. 11266 T(x,K(y,z * (u * u)) * (w * (u * (u * z)))) = T(x,w * T((z * u) * u,y)). [hyper(58,a,8563,a(flip),b,11246,a)]. 11267 T(x,K(y,z) * (L(y,u,T(w,z)) * v5)) = T(x,L(T(y,y \ z),u,w) * v5). [para(8321(a,1),11260(a,1,2))]. 11268 T(x,T((y * L(z,z,u)) * w,y)) = T(x,T(w,z \ 1) * (L(z,z,u) * y)). [hyper(272,a,8518,a(flip),b,11265,a),flip(a)]. 11269 T(x,T((y * L(z,z,u)) * w,y)) = T(x,T(w,z \ 1) * (z * y)). [hyper(272,a,10396,a(flip),b,11268,a),flip(a)]. 11271 T(x,T((y * L(z,z,u)) * w,y)) = T(x,T(w,z) * (z * y)). [hyper(272,a,8474,a(flip),b,11269,a),flip(a)]. 11272 T(x,K(y,z * (u * u)) * (w * (z * (u * u)))) = T(x,w * T((z * u) * u,y)). [para(2956(a,2),11266(a,1,2,2,2))]. 11273 T(x,y * T((z * u) * u,w)) = T(x,y * T(z * (u * u),w)). [hyper(58,a,10932,a(flip),b,11272,a),flip(a)]. 11274 T(x,K(y,z * (u * u)) * ((z * (u * u)) * w)) = T(x,T(w,z) * T((z * u) * u,y)). [hyper(58,a,9183,a(flip),b,11272,a)]. 11275 ((1 / ((1 / x) \ y)) \ a(x,(1 \ x) * y,(1 \ x) * y)) * x = x / ((y * x) \ 1). [para(10052(a,1),10487(a,1,1,2))]. 11276 K(x,L((y / z) / (1 / (u / w)),w / u,z)) = K(x,y / ((1 / (u / w)) * z)). [para(2(a,1),10630(a,1,2,2))]. 11277 K(x,L((y / z) * ((u / w) / 1),w / u,z)) = K(x,y / ((1 / (u / w)) * z)). [hyper(58,a,9776,a(flip),b,11276,a)]. 11278 K(x,L((y / z) * (u / w),w / u,z)) = K(x,y / ((1 / (u / w)) * z)). [para(70(a,1),11277(a,1,2,1,2))]. 11279 K(x,L((y / z) * (u / w),w / u,z)) = K(x,y * (z \ (u / w))). [hyper(272,a,9669,a(flip),b,11278,a),flip(a)]. 11280 K(x,L((y / z) / ((u * (w \ 1)) \ 1),w * (u \ 1),z)) = K(x,y / (((u * (w \ 1)) \ 1) * z)). [para(9195(a,1),10631(a,1,2))]. 11282 ((1 / ((1 / x) \ y)) \ a(x,x * y,(1 \ x) * y)) * x = x / ((y * x) \ 1). [para(60(a,1),11275(a,1,1,2,2,1))]. 11283 ((1 / ((1 / x) \ y)) \ a(x,x * y,x * y)) * x = x / ((y * x) \ 1). [para(60(a,1),11282(a,1,1,2,3,1))]. 11284 ((1 / ((1 / x) \ y)) \ K(x,y * (x \ y))) * x = x / ((y * x) \ 1). [para(9424(a,1),11283(a,1,1,2))]. 11285 (((1 / x) \ y) * K(x,y * (x \ y))) * x = x / ((y * x) \ 1). [para(5587(a,1),11284(a,1,1))]. 11286 T(x * T(y,x * (y \ x)),y) * y = y / ((x * y) \ 1). [para(4715(a,1),11285(a,1,1))]. 11287 T((x \ y) \ (y * y),x) * x = x / ((y * x) \ 1). [para(8544(a,1),11286(a,1,1,1))]. 11288 x * ((x \ y) \ (y * y)) = x / ((y * x) \ 1). [hyper(2808,a,11287,a)]. 11289 T(a(1 / x,y,z),u) \ L(x,z,y) = a(1 / x,y,K(z,u)) * x. [para(2524(a,1),10291(a,1,2)),flip(a)]. 11290 T(a(1 / x,y,z),u) \ L(x,z,y) = L(x,K(z,u),y). [hyper(272,a,2522,a,b,11289,a),flip(a)]. 11291 T(a(1 / x,y,z),u) \ L(x,z,y) = L(x,u,K(y,z)). [hyper(272,a,10745,a(flip),b,11290,a),flip(a)]. 11292 T(a(x \ 1,y,z),u) \ L(x,z,y) = L(x,u,K(y,z)). [para(2517(a,1),11291(a,1,1,1))]. 11293 L(x,y,K(z,u)) \ L(x,u,z) = T(L(x,u,z) / x,y). [para(11292(a,1),5444(a,1,1))]. 11294 L(x,y,K(z,u)) \ L(x,u,z) = T(x \ L(x,u,z),y). [para(2501(a,1),11293(a,2,1))]. 11295 L(x,(y \ z) \ 1,(y * (z \ y)) \ 1) = R(x,(z \ 1) \ 1,(y \ z) \ 1). [para(7715(a,1),10457(a,1,3))]. 11296 L(x,(y \ z) \ 1,(z \ y) \ (y \ 1)) = R(x,(z \ 1) \ 1,(y \ z) \ 1). [hyper(58,a,9100,a(flip),b,11295,a)]. 11297 L(x,(y \ z) \ 1,(y \ z) * (y \ 1)) = R(x,(z \ 1) \ 1,(y \ z) \ 1). [hyper(58,a,9093,a(flip),b,11296,a)]. 11298 R(x,(y \ 1) \ 1,(z \ y) \ 1) = L(x,(z \ y) \ 1,z \ (y / z)). [para(684(a,1),11297(a,1,3)),flip(a)]. 11299 R(x,(y \ 1) \ 1,(z \ y) \ 1) = L(x,y \ z,z \ (y / z)). [hyper(272,a,9982,a(flip),b,11298,a),flip(a)]. 11300 R(x,(y \ 1) \ 1,(z \ y) \ 1) = L(x,y \ z,z \ (z \ y)). [hyper(272,a,9369,a(flip),b,11299,a),flip(a)]. 11301 L(x,T(1 / y,z) \ 1,T(y,z) \ (u \ (T(y,z) \ 1))) = R(x,u,T(1 / y,z) \ 1). [hyper(58,a,8981,a(flip),b,10535,a)]. 11302 T(x * T(y,K(z,u)),K(z,L(u,y,x))) = y * T(x,K(z,u) * y). [para(10148(a,1),10852(a,1,1))]. 11303 x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,K(z,u) * x). [hyper(112,a,11029,a(flip),b,11302,a(flip))]. 11304 x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,K(u,z) * x). [hyper(272,a,5772,a,b,11303,a),flip(a)]. 11305 x \ T(y * T(x,K(z,u)),K(u,z)) = T(y,K(u,z) * x). [para(28(a,1),11303(a,1,2,1,2,2))]. 11306 x \ T(y * x,K(z,a(u,w,v5))) = T(y,K(z,a(u,w,v5)) * x). [para(10980(a,1),11303(a,1,2,1,2))]. 11307 x \ T(y * T(x,K(z,u)),K(z,R(u,w,v5))) = T(y,K(z,R(u,w,v5)) * x). [para(11027(a,1),11303(a,1,2,1,2))]. 11308 x \ T(y * x,K(z,K(u,w))) = T(y,K(K(u,w),z) * x). [para(10884(a,1),11304(a,1,2,1,2))]. 11309 T(x * T(y,K(z,u)),K(u,z)) = y * T(x,K(u,z) * y). [hyper(127,a,11305,a),flip(a)]. 11310 T(x,K(K(y,z),u) * w) = w \ (x * w). [para(10884(a,1),11308(a,1,2)),flip(a)]. 11311 T(x,K(K(y,z),u) * w) = T(x,w). [hyper(272,a,17,a,b,11310,a),flip(a)]. 11313 T(x,y * K(z,K(u,w))) = T(x,y). [hyper(10949,a,11311,a)]. 11314 T(x,K(y,K(z,u)) * w) = T(x,w). [hyper(58,a,5772,a,b,11311,a)]. 11315 T(x,y * T(z,K(u,w))) = T(x,y * z). [hyper(58,a,10932,a(flip),b,11311,a)]. 11316 T(x,T(y,K(z,u)) * w) = T(x,y * w). [hyper(58,a,5774,a(flip),b,11311,a)]. 11317 T(x,y \ T(z,K(u,w))) = T(x,y \ z). [para(4070(a,1),11311(a,1,2)),flip(a)]. 11318 T(x,T(y,K(z,u)) / w) = T(x,y / w). [para(5621(a,1),11311(a,1,2)),flip(a)]. 11319 K(x,K(y,K(z,u)) * w) = x \ T(x,w). [para(11311(a,1),5687(a,1,2)),flip(a)]. 11320 T(x,K(y,T(z,u)) * w) = T(x,K(y,z) * w). [para(5254(a,1),11311(a,1,2))]. 11321 T(x,y * (K(z,K(u,w)) * v5)) = T(x,y * v5). [para(6538(a,1),11311(a,1,2)),flip(a)]. 11322 T(x,(K(y,z) * u) * w) = T(x,(u * K(y,z)) * w). [para(9535(a,1),11311(a,1,2))]. 11323 T(x,y * (K(z,u) * w)) = T(x,y * (w * K(z,u))). [para(6343(a,1),11313(a,1,2)),flip(a)]. 11324 T(x,y * (z * K(u,K(w,v5)))) = T(x,y * z). [para(7899(a,1),11313(a,1,2))]. 11325 T(x,K(y,K(z,u)) * (w * (v5 \ (w / v5)))) = T(x,(v5 \ w) * (v5 \ w)). [hyper(58,a,9449,a(flip),b,11314,a)]. 11326 L(x,y * K(z,u),y * K(z,u)) = T(x,y * y). [hyper(58,a,6467,a,b,11315,a)]. 11327 T(x,y * (K(z,u) / w)) = T(x,y * (w \ K(z,u))). [hyper(58,a,9642,a(flip),b,11315,a),flip(a)]. 11328 T(x,y * T(z,T(u,w))) = T(x,y * T(z,u)). [para(5485(a,1),11315(a,1,2,2))]. 11329 T(x,y * ((z * K(u,w)) \ v5)) = T(x,y * (z \ (v5 * K(u,w)))). [para(10881(a,1),11315(a,1,2,2)),flip(a)]. 11330 T(x,T(y,z / u) * w) = T(x,T(y,u \ z) * w). [para(5800(a,1),11316(a,1,2,1))]. 11331 T(x,K(y,z) * (u * w)) = T(x,u * (K(y,z) * w)). [para(10853(a,1),11316(a,1,2))]. 11332 T(x,y \ T(z,T(u,w))) = T(x,y \ T(z,u)). [para(5485(a,1),11317(a,1,2,2))]. 11333 T(x,y \ (z * T(y,K(u,w)))) = T(x,T(z,K(u,w) * y)). [para(11303(a,1),11317(a,1,2)),flip(a)]. 11334 T(x,T(y,T(z,u)) / w) = T(x,T(y,z) / w). [para(5485(a,1),11318(a,1,2,1))]. 11335 K(x,K(y,K(z,u)) * w) = K(x,w). [hyper(272,a,2672,a,b,11319,a),flip(a)]. 11336 K(x,K(y,K(z,u)) * w) != v5 | K(x,w) = v5. [para(11319(a,2),2691(a,1))]. 11337 K(x,y / T(z,K(u,w))) = K(x,y / z). [hyper(58,a,10937,a(flip),b,11335,a)]. 11338 K(x,y * T(z,K(u,w))) = K(x,y * z). [para(4502(a,1),11335(a,1,2))]. 11339 K(x,y \ T(z,K(u,w))) = K(x,y \ z). [para(4500(a,1),11335(a,1,2))]. 11340 K(x,T(y,T(z,u)) * w) = K(x,T(y,z) * w). [para(5908(a,1),11335(a,1,2))]. 11341 K(x,y * (z * K(u,K(w,v5)))) = K(x,y * z). [para(10959(a,1),11335(a,1,2))]. 11342 K(x,y / T(z,T(u,w))) = K(x,y / T(z,u)). [para(5485(a,1),11337(a,1,2,2))]. 11343 K(x,y * (K(z,u) / w)) = K(x,y * (w \ K(z,u))). [hyper(58,a,8901,a(flip),b,11338,a),flip(a)]. 11344 K(x,y * T(z,u / w)) = K(x,y * T(z,w \ u)). [para(5800(a,1),11338(a,1,2,2))]. 11345 K(x,y \ (K(z,u) * w)) = K(x,y \ (w * K(z,u))). [hyper(58,a,8441,a(flip),b,11339,a),flip(a)]. 11348 K(x,K(y,T(z,u)) * w) != v5 | K(x,K(y,z) * w) = v5. [para(5804(a,1),11336(a,1,2))]. 11349 T(x,y * K(z,T(u,w))) = T(x,K(z,u) * y). [hyper(10888,a,11320,a)]. 11350 T(x,y * (K(z,T(u,w)) * v5)) = T(x,y * (K(z,u) * v5)). [para(5804(a,1),11321(a,1,2,2))]. 11351 T(x,y * (T(z,T(u,w)) * v5)) = T(x,y * (T(z,u) * v5)). [para(5908(a,1),11321(a,1,2,2))]. 11352 T(x,y * (z * (K(u,w) * v5))) = T(x,y * (z * (v5 * K(u,w)))). [para(6343(a,1),11324(a,1,2,2)),flip(a)]. 11353 T(x,y * (z \ K(u,T(w,v5)))) = T(x,y * (z \ K(u,w))). [para(10966(a,1),11324(a,1,2,2))]. 11354 T(x,K(y,T(T(z,u),w)) * T(z,w)) = T(x,K(z,u) * T(T(T(z,u),w),y)). [hyper(58,a,10948,a(flip),b,11328,a),flip(a)]. 11355 T(x,y \ T(z / T(u,w),u)) = T(x,y \ (T(u,w) \ z)). [para(100(a,1),11332(a,1,2,2)),flip(a)]. 11356 T(x,T(y,z) / (u * (z / u))) = T(x,(u * (z / u)) \ y). [hyper(6106,a,11334,a),flip(a)]. 11357 T(x,T(y,z) / T(z,u)) = T(x,T(z,u) \ y). [hyper(6007,a,11334,a),flip(a)]. 11359 K(x,T(y,z) * (u * (z \ u))) = K(x,(u * (z \ u)) * y). [hyper(58,a,11264,a(flip),b,11340,a),flip(a)]. 11360 K(x,(y * K(z,K(u,w))) * v5) = K(x,y * v5). [para(10957(a,2),11341(a,1,2))]. 11361 K(x,T(y,z * x) / T(z \ 1,y * z)) = K(x,y / (z \ 1)). [hyper(58,a,9503,a(flip),b,11342,a),flip(a)]. 11362 T(x,T(K(y,z) * u,w)) = T(x,K(y,z) * T(u,w)). [para(10676(a,1),11349(a,1,2))]. 11363 K(x,(y / T(z,K(u,w))) * v5) = K(x,(y / z) * v5). [para(3697(a,1),11360(a,1,2,1)),flip(a)]. 11365 L(x,y * K(z,u),y * K(z,u)) = L(x,y,y). [hyper(272,a,2952,a(flip),b,11326,a),flip(a)]. 11366 T((x * K(y,y \ 1)) * z,x * K(y,y \ 1)) = L(z,x,x) * (K(y,y \ 1) * x). [para(11365(a,1),3142(a,1,1)),flip(a)]. 11367 T(x,(K(y,z) * u) * w) = T(x,u * (K(y,z) * w)). [hyper(272,a,10889,a,b,11323,a)]. 11368 T(x,(y \ K(z,u)) * (w * K(z,u))) = T(x,y \ w). [hyper(58,a,11036,a(flip),b,11323,a),flip(a)]. 11369 T(x,(1 / y) * (z \ K(u,w))) = T(x,y \ (K(u,w) / z)). [hyper(6105,a,11327,a),flip(a)]. 11370 T(x,y * ((z * u) \ K(w,T(v5,u)))) = T(x,y * (u \ (K(w,v5) / z))). [hyper(58,a,11116,a(flip),b,11327,a),flip(a)]. 11371 T(T(x,y * (z \ K(u,w))),K(v5,y * (K(u,w) / z))) = T(x,T(y * (K(u,w) / z),v5)). [para(11327(a,1),5485(a,1,1))]. 11372 T(T(x,K(y,z)),u * (K(y,z) * w)) = T(x,L(u * w,z,y)). [hyper(58,a,11145,a(flip),b,11331,a),flip(a)]. 11373 T(x,K(y,z) * (u * (y * w))) = T(x,u * (T(y,z) * w)). [para(2750(a,1),11331(a,2,2,2))]. 11374 K(x,y \ ((z * u) * K(w,L(v5,z,u)))) = K(x,y \ ((K(w,v5) * z) * u)). [para(10607(a,1),11345(a,1,2,2)),flip(a)]. 11375 T(x,K(y,z \ 1) * T((y * z) / u,w)) = T(x,T(T(y * z,z) / u,w)). [hyper(9730,a,11362,a),flip(a)]. 11376 T(x,K(y,z) * T(T(T(y,z),u),w)) = T(x,T(T(y,T(u,z)),w)). [para(5429(a,1),11362(a,1,2,1)),flip(a)]. 11377 K(x,(T(y,K(z,u)) * K(w,v5)) \ v6) = K(x,(K(w,v5) / y) * v6). [hyper(58,a,5996,a,b,11363,a)]. 11378 T(x,(y * K(z,u)) * w) = T(x,y * (K(z,u) * w)). [hyper(58,a,11322,a(flip),b,11367,a)]. 11379 T(x,(K(y,z) * u) * (K(y,T(z,w)) * v5)) = T(x,u * (K(y,K(z,w)) * v5)). [para(11046(a,1),11367(a,2,2,2))]. 11380 T(x * T(y,K(z,u) * x),K(u,z)) = y * T(x,K(u,z)). [hyper(3866,a,11309,a)]. 11381 T(x,T(y,z) * K(z,K(u,w))) = T(x,T(y,K(u,w) * z)). [para(4609(a,1),11333(a,1,2))]. 11382 T(x,y * (z * K(u,T(w,v5)))) = T(x,y * (K(u,w) * z)). [hyper(58,a,11323,a(flip),b,11350,a)]. 11383 T(x,y * (z \ (K(u,w) * v5))) = T(x,y * (K(u,w) * (z \ v5))). [para(10867(a,1),11350(a,1,2,2))]. 11384 T(x,y * (z \ K(u,T(w,v5)))) = x * K(x,y * (z \ K(u,w))). [hyper(272,a,2674,a(flip),b,11353,a),flip(a)]. 11385 T(x,y \ ((z \ u) * K(z,w))) = T(x,y \ (T(z,w) \ u)). [para(4300(a,1),11355(a,1,2,2))]. 11386 T(x,(y * (z / y)) \ u) = T(x,T(u,z) / T(z,y)). [hyper(58,a,9710,a(flip),b,11356,a),flip(a)]. 11387 T(x,(y * (z / y)) \ u) = T(x,T(z,y) \ u). [hyper(272,a,11357,a(flip),b,11386,a),flip(a)]. 11388 T(x,T(y * z,z) \ u) = T(x,(z * y) \ u). [para(6(a,1),11387(a,1,2,1,2)),flip(a)]. 11390 K(x,(y * (z \ y)) * u) = K(x,y * (z \ (y * u))). [para(6946(a,1),11359(a,1,2)),flip(a)]. 11391 K(x,y * ((z \ 1) \ (y * u))) = K(x,(y * (z * y)) * u). [hyper(58,a,8671,a(flip),b,11390,a),flip(a)]. 11392 T(x,y \ (K(z,u) / w)) = T(x,y \ (w \ K(z,u))). [hyper(6105,a,11369,a),flip(a)]. 11393 T(x,y \ (T(K(z,u),w \ 1) * w)) = T(x,y \ (K(z,u) / (1 / w))). [para(1972(a,2),11392(a,2,2,2)),flip(a)]. 11394 T(x,a(y,z,K(u,w)) * (v5 * (a(y,z,u) * v6))) = T(x,v5 * (T(a(y,z,u),w) * v6)). [para(10282(a,2),11373(a,1,2,1))]. 11395 T(x * T(y,x * K(z,u)),K(z,u)) = y * T(x,K(z,u)). [para(10931(a,1),11380(a,1,1,2))]. 11396 T(x,T(y,K(z,u) * w)) = T(x,T(y,w)). [hyper(58,a,11313,a(flip),b,11381,a),flip(a)]. 11397 T(x,T(y,z * K(u,w))) = T(x,T(y,z)). [hyper(10928,a,11396,a)]. 11399 T(x,T(y,z * T(u,w))) = T(x,T(y,z * u)). [para(4502(a,1),11396(a,1,2,2))]. 11400 T(x,T(y,z * (u * T(w,v5)))) = T(x,T(y,z * (u * w))). [para(6276(a,1),11397(a,1,2,2))]. 11401 T(x,T(y,T(z,u) * w)) = T(x,T(y,w * z)). [hyper(10928,a,11399,a)]. 11402 K(x,y * ((1 \ z) * (y * u))) = K(x,(y * (z * y)) * u). [hyper(9664,a,11391,a)]. 11403 T(x,T(y,z * (u * T(w,v5)))) = x * K(x,T(y,z * (u * w))). [hyper(272,a,2674,a(flip),b,11400,a),flip(a)]. 11404 K(x,(y * (z * y)) * u) = K(x,y * (z * (y * u))). [para(60(a,1),11402(a,1,2,2,1)),flip(a)]. 11405 K(x,y * (z * (y * u))) * (x * w) = T(x,(y * (z * y)) * u) * w. [para(11404(a,1),2750(a,1,1))]. 11406 T(T(x,K(y,z)),u * (w * K(y,z))) = T(x,L(u * w,z,y)). [hyper(58,a,11323,a(flip),b,11372,a)]. 11407 T(a(x,y,z),u * (w * K(v5,v6))) = T(a(x,y,z),L(u * w,v6,v5)). [para(10989(a,1),11406(a,1,1))]. 11408 T(x,K(y,a(z,u,w)) * v5) = v5 \ (x * v5). [para(10980(a,1),11306(a,1,2)),flip(a)]. 11409 T(x,K(y,a(z,u,w)) * v5) = T(x,v5). [hyper(272,a,17,a,b,11408,a),flip(a)]. 11411 T(x,a(y,z,K(u,w)) * v5) = T(x,v5). [para(10274(a,2),11409(a,1,2,1))]. 11412 T(x,y * a(z,u,K(w,v5))) = T(x,y). [hyper(10991,a,11411,a)]. 11413 K(x,y * a(z,u,K(w,v5))) = x \ T(x,y). [hyper(112,a,11412,a(flip),b,2674,a(flip)),flip(a)]. 11414 K(x,y * a(z,u,K(w,v5))) = K(x,y). [hyper(272,a,2672,a,b,11413,a),flip(a)]. 11415 K(x,a(y,z,K(u,w)) * v5) = K(x,v5). [para(10973(a,2),11414(a,1,2))]. 11416 K(x,K(a(y,z,u),w) * v5) = K(x,v5). [para(10282(a,1),11415(a,1,2,1))]. 11417 K(x,K(y,L(z,u,w)) * v5) = K(x,K(y,z) * v5). [para(10323(a,1),11416(a,1,2)),flip(a)]. 11418 K(x,y * K(z,L(u,w,v5))) = K(x,K(z,u) * y). [hyper(10912,a,11417,a)]. 11419 K(x,y * K(z,L(u,w,v5))) = K(x,y * K(u,z)). [hyper(272,a,10936,a(flip),b,11418,a),flip(a)]. 11420 K(x,y * K(z,L(u,w,v5))) != v6 | K(x,y * K(u,z)) = v6. [para(11418(a,2),10952(a,1))]. 11421 K(x,y * K(z,L(u,w,v5))) != v6 | K(x,K(z,u) * y) = v6. [para(11419(a,2),10938(a,1))]. 11422 K(x,K(y,L(z,u,w)) * v5) != v6 | K(x,K(y,z) * v5) = v6. [para(10890(a,2),11421(a,1))]. 11423 T(x,y * (z \ (u * K(w,v5)))) = T(x,y * ((K(w,v5) / z) * u)). [hyper(58,a,8516,a(flip),b,11329,a),flip(a)]. 11424 T(x,y * (z * (K(u,w) * (u * v5)))) = T(x,y * (z * (u * (v5 * K(u,w))))). [para(4303(a,1),11352(a,2,2,2,2))]. 11426 K(x,(y \ K(y * x,z)) \ z) = K(x,z / (y \ 1)). [para(5902(a,1),11361(a,1,2))]. 11427 K(x,(K(y,z * x) * z) * y) = K(x,y / (z \ 1)). [hyper(58,a,5995,a(flip),b,11426,a)]. 11428 K(x,(y * K(z,x * y)) * z) = K(x,z / (y \ 1)). [para(6068(a,1),11427(a,1,2,1))]. 11429 K(x,y * T(z,x * y)) = K(x,z / (y \ 1)). [para(3699(a,1),11428(a,1,2))]. 11430 K(x,y * T(z,x * y)) = K(x,z * y). [hyper(272,a,6067,a(flip),b,11429,a),flip(a)]. 11431 T(x,y * T(z,x * y)) = x * K(x,z * y). [hyper(114,a,11430,a(flip),b,2672,a(flip)),flip(a)]. 11432 T(x,y * T(z,x * y)) = T(x,z * y). [hyper(272,a,2674,a,b,11431,a),flip(a)]. 11433 T(x,y * K(z,u)) \ T(y * T(T(x,y * K(z,u)),K(z,u)),K(z,u)) = T(y,x * K(z,u)). [hyper(58,a,11303,a,b,11432,a)]. 11434 K(x,(T(y,K(z,u)) \ w) * K(v5,v6)) = K(x,(K(v5,v6) / y) * w). [hyper(11039,a,11377,a)]. 11435 T(x,y * (((z \ 1) * u) \ (K(w,v5) * 1))) = T(x,y * (K(w,v5) * ((u \ 1) / (1 / z)))). [para(4150(a,2),11383(a,2,2,2,2))]. 11436 T(x,y * (z \ K(u,T(w,v5)))) != v6 | T(x,y * (z \ K(u,w))) = v6. [para(11384(a,2),2737(a,1))]. 11437 K(x,T(y,z * (u * T(w,v5)))) = K(x,T(y,z * (u * w))). [hyper(2751,a,11403,a)]. 11438 K(x,T(y,z * ((u / T(w,v5)) * w))) = K(x,T(y,z * u)). [para(7(a,1),11437(a,1,2,2,2)),flip(a)]. 11439 K(x,T(y,z * T(u,w))) = K(x,T(y,z * u)). [para(2227(a,1),11438(a,1,2,2,2))]. 11440 K(x,T(y,z * (u * K(w,v5)))) = K(x,T(y,z * u)). [para(3972(a,1),11438(a,1,2,2,2))]. 11441 K(x,T(y,z * T(u,w))) = K(x,T(y,u * z)). [hyper(272,a,10911,a,b,11439,a),flip(a)]. 11442 K(x,T(y,z * (u / w))) = K(x,T(y,z * (w \ u))). [para(100(a,1),11439(a,1,2,2,2)),flip(a)]. 11444 K(x,T(y,K(z,u) * w)) = K(x,T(y,w)). [para(5303(a,1),11440(a,1,2,2)),flip(a)]. 11445 x * K(y,T(z,K(u,w) * x)) = K(y,z) * x. [para(11444(a,2),5236(a,1,2))]. 11446 x * T(K(y,z),K(u,w) * x) = K(y,z) * x. [para(5238(a,1),11445(a,1,2))]. 11447 T(K(x,y) * z,K(u,w)) = K(x,y) * T(z,K(u,w)). [para(11446(a,1),11380(a,1,1))]. 11448 K(x,T(y,z \ (z \ u))) = K(x,T(y,z * (u \ z))). [hyper(58,a,6131,a,b,11442,a)]. 11450 K(x,T(y,z * (u \ z))) * (u / z) = ((z * z) \ u) * (K(x,y) * z). [para(11448(a,1),11103(a,1,1))]. 11451 T(x,K(y,K(z,u)) * (w * (v5 \ (w / v5)))) = L(x,v5 \ w,v5 \ w). [hyper(272,a,2952,a(flip),b,11325,a),flip(a)]. 11452 T(x,y * (z \ (y / z))) = L(x,z \ y,z \ y). [hyper(58,a,11314,a(flip),b,11451,a)]. 11453 x \ L(x,y \ z,y \ z) = K(x,z * (y \ (z / y))). [hyper(112,a,11452,a(flip),b,2674,a(flip))]. 11454 L(x,y \ x,y \ x) \ 1 = T(x \ 1,y \ (x / y)). [para(11452(a,1),3388(a,1,1))]. 11455 T(L(x,y \ z,y \ z),K(u,z * (y \ (z / y)))) = T(x,T(z * (y \ (z / y)),u)). [para(11452(a,1),5485(a,1,1))]. 11456 K(x,y * (z \ (y / z))) = a(x,z \ y,z \ y). [hyper(4249,a,11453,a),flip(a)]. 11458 T(x \ 1,y \ (x / y)) = (y * ((x \ y) \ 1)) \ 1. [para(5197(a,1),11454(a,1,1)),flip(a)]. 11459 T(x \ 1,y \ (x / y)) = 1 / L(x,y,y). [hyper(272,a,4957,a(flip),b,11458,a),flip(a)]. 11460 K(x \ (y / x),y \ 1) = y * (1 / L(y,x,x)). [hyper(114,a,11459,a(flip),b,2653,a),flip(a)]. 11461 K(x \ (y / x),y \ 1) = K(y,x * (x / y)). [hyper(272,a,8050,a(flip),b,11460,a),flip(a)]. 11462 K(x,x * (y \ (x / y))) = K(x,y * (y / x)). [hyper(3622,a,11461,a)]. 11463 a(x,y \ x,y \ x) = K(x,y * (y / x)). [hyper(58,a,11456,a(flip),b,11462,a)]. 11464 a(x,y \ x,y \ x) = K(x,y * (x \ y)). [hyper(272,a,5378,a(flip),b,11463,a),flip(a)]. 11465 L((x \ y) \ 1,(x \ y) \ 1,x) \ 1 = K(y,x * (y \ x)) / ((x \ y) \ 1). [para(11464(a,1),11158(a,2,1))]. 11466 T(x,y * (z \ (K(u,w) / v5))) != v6 | T(x,y * ((v5 * z) \ K(u,w))) = v6. [para(11370(a,1),11436(a,1))]. 11467 T(x,y \ (T(K(z,u),w \ 1) * w)) = T(x,y \ ((w \ K(z,u)) \ 1)). [para(5635(a,1),11393(a,2,2,2))]. 11468 T(x,(y * (z * y)) * u) = T(x,y * (z * (y * u))). [hyper(3213,a,11405,a),flip(a)]. 11469 T(x,(y * (((1 / z) * u) * ((z / y) \ 1))) * w) = T(x,(y / z) * (u * ((y / z) * w))). [hyper(58,a,10121,a,b,11468,a)]. 11470 T(x,((y * z) * y) * u) = T(x,y * (z * (y * u))). [hyper(58,a,8509,a,b,11468,a)]. 11471 T(x,y * ((y \ z) * (y * u))) = T(x,(z * y) * u). [para(5(a,1),11470(a,1,2,1,1)),flip(a)]. 11472 T(x,((y / z) * y) * u) = T(x,y * (z \ (y * u))). [hyper(58,a,9641,a(flip),b,11471,a),flip(a)]. 11473 T(x,(y * z) * (z \ u)) = T(x,z * ((z \ y) * u)). [para(5(a,1),11471(a,1,2,2,2)),flip(a)]. 11474 T(x,y * ((y \ z) * (u * y))) = T(x,(z * y) * T(u,y)). [para(98(a,1),11471(a,1,2,2,2))]. 11475 T(x,(y * (z \ y)) * u) = T(x,y * (z \ (y * u))). [hyper(58,a,8477,a(flip),b,11472,a)]. 11476 T(x,(T(y,z) * z) * (z \ u)) = T(x,z * ((y / z) * u)). [hyper(272,a,8575,a(flip),b,11473,a),flip(a)]. 11477 T(x,y * ((y \ z) * (u \ (1 / w)))) = T(x,(z * y) / ((w * u) * y)). [hyper(58,a,9731,a(flip),b,11473,a),flip(a)]. 11478 T(x,((y * z) * z) * (y \ u)) = T(x,y * ((y \ (z * z)) * u)). [para(3252(a,2),11473(a,1,2,1))]. 11479 T(x,(((y / z) * y) * z) * (z \ u)) = T(x,z * (((z \ y) * (z \ y)) * u)). [para(4086(a,1),11473(a,2,2,2,1))]. 11480 T(x,((y \ z) * T(z,y)) * u) = T(x,z * (y \ (z * u))). [hyper(58,a,8724,a,b,11475,a)]. 11481 T(T(x,y * (z \ (y * u))),K(w,(y * (z \ y)) * u)) = T(x,T((y * (z \ y)) * u,w)). [para(11475(a,1),5485(a,1,1))]. 11482 T(x,(y * z) * (y \ u)) = T(x,y * ((z / y) * u)). [para(2778(a,1),11476(a,1,2,1))]. 11483 T(x,T(y,z) * ((((1 / y) * u) * K(y,z)) * w)) = T(x,(T(y,z) * T(u,y)) * (T(y,z) \ w)). [para(3996(a,2),11482(a,2,2,2,1)),flip(a)]. 11484 T(x,y \ (T(K(z,u),w \ 1) * w)) = T(x,(y \ K(z,u)) * w). [hyper(272,a,11045,a(flip),b,11467,a),flip(a)]. 11485 T(x,y \ (K(z,T(u,w)) * w)) = T(x,(y \ K(z,u)) * w). [para(5999(a,1),11484(a,1,2,2,1))]. 11486 T(x,y \ (z * K(u,w))) = T(x,(y \ K(u,w)) * z). [para(5252(a,1),11485(a,1,2,2))]. 11487 T(x,((y / z) \ K(u,z / y)) * w) = T(x,((z / y) * w) * K(z / y,u)). [hyper(58,a,8895,a(flip),b,11486,a),flip(a)]. 11488 T(x,((y \ z) \ K(u,z \ y)) * w) = T(x,((z \ y) * w) * K(z \ y,u)). [hyper(58,a,8894,a(flip),b,11486,a),flip(a)]. 11489 K(x,y \ (z * (T(u,z) * K(w,v5)))) = K(x,y \ ((K(w,v5) * u) * z)). [para(9008(a,1),11374(a,1,2,2))]. 11490 T(x,K(y,R(z,u,w)) * v5) = v5 \ T(x * T(v5,K(y,z)),K(y,z)). [para(11027(a,1),11307(a,1,2)),flip(a)]. 11491 T(x,K(y,R(z,u,w)) * v5) = T(x,K(y,z) * v5). [hyper(272,a,11303,a(flip),b,11490,a),flip(a)]. 11493 T(x,K(y,L(z,u,w)) * v5) = T(x,K(y,z) * v5). [para(10604(a,1),11491(a,1,2,1))]. 11494 T(x,K(y,L(z,u,w)) * (v5 * (y * v6))) = T(x,v5 * (T(y,z) * v6)). [hyper(272,a,11373,a(flip),b,11493,a),flip(a)]. 11495 T(x,y * (T(z,L(u,w,v5)) * v6)) = T(x,y * (T(z,u) * v6)). [hyper(58,a,11373,a(flip),b,11494,a)]. 11497 T(x,K(y,z) * T(T(T(y,z),u),w)) = T(x,T(T(y,u),T(w,z))). [para(5324(a,1),11354(a,1,2)),flip(a)]. 11498 T(x,K(y,z) * T(T(T(y,z),u),w)) != v5 | T(x,T(T(y,u),w)) = v5. [para(11497(a,2),10927(a,1))]. 11500 T(x,T(T(y,T(z,u)),w)) != v5 | T(x,T(T(y,z),w)) = v5. [para(11376(a,1),11498(a,1))]. 11501 T(x,K(y,z) * T((y * z) / u,w)) = T(x,T(T(y * z,z) / u,w)). [hyper(58,a,8666,a(flip),b,11375,a)]. 11502 T(x,(K(y,z) * u) * (K(y,T(z,w)) * v5)) = T(x,u * v5). [hyper(272,a,11321,a(flip),b,11379,a),flip(a)]. 11504 T(x,(K(y,z) * u) * (K(y,T(z,w)) * u)) = L(x,u,u). [hyper(272,a,2952,a(flip),b,11502,a),flip(a)]. 11505 T(x,(K(y,z) * u) * (K(y,z) * u)) = L(x,u,u). [hyper(58,a,11350,a(flip),b,11504,a)]. 11506 L(x,K(y,z) * u,K(y,z) * u) = L(x,u,u). [hyper(58,a,2952,a(flip),b,11505,a)]. 11507 ((K(x,y) * z) \ 1) * L(u,z,z) = (K(x,y) * z) \ u. [hyper(114,a,11506,a(flip),b,2013,a)]. 11508 L(x,T(y,z) * u,K(y,z) * (y * u)) = L(x,y * u,y * u). [para(2750(a,1),11506(a,1,2))]. 11509 L(x,y * (K(z,u) * w),K(z,T(u,y)) * (y * w)) = L(x,y * w,y * w). [para(10860(a,1),11506(a,1,2))]. 11510 (x \ K(y,z)) * L(u,x,x) = (K(y,z) * x) \ u. [para(5610(a,1),11507(a,1,1))]. 11511 (K(x,T(y,z)) * u) \ z = (u \ z) * K(x,y). [hyper(11083,a,11510,a),flip(a)]. 11512 (x \ y) * K(z,T(u,y)) = (K(z,u) * x) \ y. [para(2765(a,1),11511(a,1,1,1,2)),flip(a)]. 11513 (K(x,K(y,z)) * u) \ w = (u \ w) * K(x,K(y,z)). [para(10918(a,1),11511(a,1,1,1))]. 11514 (x \ y) * T(K(z,u),y) = (K(z,u) * x) \ y. [para(5238(a,1),11512(a,1,2))]. 11515 T(x,y * (((z \ u) * K(w,T(v5,u))) * v6)) = T(x,y * (((z \ K(w,v5)) * u) * v6)). [para(11512(a,2),8847(a,1,2,2,1))]. 11516 T(x,(K(y,z) * u) \ w) = T(x,K(y,z) * (u \ w)). [para(11512(a,1),11349(a,1,2))]. 11517 ((x \ y) * K(z,u)) * K(y,K(z,u)) = (K(z,u) * x) \ y. [hyper(4018,a,11514,a)]. 11518 (K(x,K(y,z)) * u) \ w = K(x,K(y,z)) * (u \ w). [hyper(272,a,10893,a,b,11513,a),flip(a)]. 11519 ((K(x,y) * z) \ u) * K(x,K(y,w)) = (K(x,T(y,w)) * z) \ u. [para(5805(a,1),11513(a,1,1)),flip(a)]. 11520 T(x,(y \ K(z,u)) * w) = T(x,K(z,u) * (y \ w)). [hyper(58,a,6026,a(flip),b,11516,a)]. 11521 (x * (K(y,K(z,u)) * w)) \ v5 = K(y,K(z,u)) * ((x * w) \ v5). [para(10901(a,1),11518(a,1,1))]. 11522 T(x,K(y,z) * (u \ (w * K(y,z)))) = T(x,u \ w). [hyper(58,a,11368,a(flip),b,11520,a),flip(a)]. 11523 T(x,K(y,z) * ((K(y,z) / u) * w)) = T(x,u \ w). [hyper(58,a,11423,a(flip),b,11522,a)]. 11524 (K(x,y) * z) \ T(u,K(x,y)) = (z \ u) * K(x,y). [hyper(30,a,5692,a,b,11517,a)]. 11525 ((K(x,y) * z) \ u) * K(x,y) = z \ T(u,K(x,y)). [para(3893(a,1),11524(a,1,1)),flip(a)]. 11526 (K(x,y) * (1 / z)) \ T(1 / u,K(x,y)) = (1 / (u * (z \ 1))) * K(x,y). [para(4096(a,2),11524(a,2,1))]. 11527 T((K(x,y) * z) \ u,K(x,y)) = K(x,y) * (z \ T(u,K(x,y))). [hyper(215,a,11525,a,b,3893,a)]. 11529 K(x,((K(y,z) * u) \ w) * K(y,z)) = K(x,u \ w). [para(11525(a,2),11339(a,1,2))]. 11530 K(x,(K(y,z) * u) \ w) = K(x,(u \ w) * K(z,y)). [para(3880(a,1),11529(a,1,2,1,1)),flip(a)]. 11531 K(x,((1 / (y \ K(z,u))) \ w) * K(z,u)) = K(x,y \ w). [para(5631(a,2),11529(a,1,2,1,1))]. 11532 K(x,(((K(y,z) * u) * w) \ v5) * K(y,L(z,u,w))) = K(x,(u * w) \ v5). [para(10607(a,1),11529(a,1,2,1,1))]. 11533 K(x,(K(y,z) * u) \ w) = K(x,K(y,z) * (u \ w)). [hyper(272,a,10936,a,b,11530,a),flip(a)]. 11534 K(x,(T(y,K(z,u)) \ w) * K(z,u)) = K(x,K(z,u) * (y \ w)). [hyper(11063,a,11533,a)]. 11535 K(x,(y \ K(z,u)) * ((w * y) * (y \ K(z,u)))) = K(x,y \ w). [para(107(a,2),11531(a,1,2))]. 11536 L(x,T(y,z) * u,T(y,z) * u) = L(x,y * u,y * u). [para(2750(a,1),11508(a,1,3))]. 11537 L(x,(y \ z) * u,T(z / y,y) * u) = L(x,(z / y) * u,(z / y) * u). [para(100(a,1),11536(a,1,2,1))]. 11538 L(x,T(T(y,z),u) * (z \ 1),T(T(y,z),u) * (z \ 1)) = L(x,z \ y,T(y,z) * (z \ 1)). [para(676(a,1),11536(a,2,2))]. 11539 L(x,T(T(y,z),u) * z,T(T(y,z),u) * z) = L(x,z * y,T(y,z) * z). [para(2778(a,1),11536(a,2,2))]. 11540 K(x,(K(y,z) / u) * w) = K(x,K(y,z) * (u \ w)). [hyper(58,a,11434,a(flip),b,11534,a)]. 11542 K(x,y \ (z * K(u,w))) = K(x,K(u,w) * (y \ z)). [hyper(58,a,11054,a,b,11540,a)]. 11543 K(x,y \ (z * K(u,w))) = K(x,(y \ z) * K(u,w)). [hyper(272,a,10890,a(flip),b,11542,a),flip(a)]. 11544 K(x,K(y,z) * (u \ (w * y))) = K(x,u \ (w * T(y,z))). [para(3664(a,1),11542(a,1,2,2)),flip(a)]. 11545 K(x,(y \ (z * u)) * K(w,L(v5,u,z))) = K(x,y \ (z * (u * K(w,v5)))). [para(8235(a,1),11543(a,1,2,2)),flip(a)]. 11546 K(x,y \ (z * T(u,K(w,v5)))) = K(x,y \ (z * u)). [hyper(11336,a,11544,a),flip(a)]. 11547 K(x,y \ (z * (K(u,w) * v5))) = K(x,y \ (z * (v5 * K(u,w)))). [para(3728(a,1),11546(a,1,2,2,2)),flip(a)]. 11548 K(x,(((K(y,z) * u) * w) \ v5) * K(z,y)) = K(x,(u * w) \ v5). [hyper(11420,a,11532,a)]. 11550 K(x,y \ (z * (u * K(w,v5)))) = K(x,K(w,v5) * (y \ (z * u))). [hyper(11421,a,11545,a),flip(a)]. 11551 K(x,y \ (z * (u * K(w,v5)))) = K(x,(y \ (z * u)) * K(v5,w)). [hyper(11420,a,11545,a),flip(a)]. 11553 K(x,y \ (z * (K(u,w) * v5))) = K(x,K(u,w) * (y \ (z * v5))). [hyper(58,a,11547,a,b,11550,a)]. 11554 K(x,(y \ (z * T(u,z))) * K(w,v5)) = K(x,y \ ((K(v5,w) * u) * z)). [hyper(58,a,11489,a(flip),b,11551,a),flip(a)]. 11555 K(x,K(y,z) * ((u * (w * (K(y,z) * v5))) \ ((u * w) * v5))) = K(x,a(u,w,K(y,z) * v5)). [para(9(a,2),11553(a,1,2)),flip(a)]. 11556 K(x,y \ ((K(z,u) * w) * v5)) = K(x,(y \ (w * v5)) * K(u,z)). [para(98(a,1),11554(a,1,2,1,2)),flip(a)]. 11557 K(x,(((K(y,z) * u) * w) \ (u * (w * v5))) * K(z,y)) = K(x,L(v5,w,K(y,z) * u)). [para(13(a,2),11556(a,1,2)),flip(a)]. 11558 T(x,y * (z * (u * (w * K(u,v5))))) = T(x,y * (z * (T(u,v5) * w))). [para(2750(a,1),11424(a,1,2,2,2)),flip(a)]. 11559 T(x,y * (((y \ z) * (y \ z)) * u)) = T(x,(z * T(z,y)) * (y \ u)). [para(4084(a,1),11479(a,1,2,1)),flip(a)]. 11560 T(x,y * (((y \ z) * (y \ z)) * u)) = T(x,z * (T(z,y) * (y \ u))). [hyper(272,a,8543,a(flip),b,11559,a),flip(a)]. 11561 T(x,((y / z) * u) * K(y / z,w)) = T(x,T((z / y) \ 1,w) * u). [para(4458(a,1),11487(a,1,2,1)),flip(a)]. 11562 T(x,((y / z) * u) * K(y / z,w)) = T(x,T(z / y,w) \ u). [hyper(272,a,8505,a(flip),b,11561,a),flip(a)]. 11563 T(x,((y / z) * u) * K(w,y / z)) = T(x,T(z / y,w) \ u). [hyper(10950,a,11562,a)]. 11564 T(x,(y / z) * (u * K(w,y / z))) = T(x,T(z / y,w) \ u). [para(4319(a,1),11563(a,1,2))]. 11565 T(x,T(y / z,u) \ w) = T(x,T(z / y,u) * w). [hyper(11047,a,11564,a),flip(a)]. 11566 T(x,T((y * z) \ (((z \ (y \ 1)) * u) \ (1 / (z \ (y \ 1)))),w)) = T(x,T((((1 / z) / y) \ 1) / u,w) * 1). [hyper(58,a,10139,a,b,11565,a)]. 11567 T(x,((y \ z) * u) * K(y \ z,w)) = T(x,T((z \ y) \ 1,w) * u). [para(4436(a,1),11488(a,1,2,1)),flip(a)]. 11568 T(x,((y \ z) * u) * K(y \ z,w)) = T(x,T(z \ y,w) \ u). [hyper(272,a,8505,a(flip),b,11567,a),flip(a)]. 11569 T(x,((y \ z) * u) * K(w,y \ z)) = T(x,T(z \ y,w) \ u). [hyper(10950,a,11568,a)]. 11570 T(x,(y \ z) * (u * K(w,y \ z))) = T(x,T(z \ y,w) \ u). [para(4319(a,1),11569(a,1,2))]. 11571 T(x,T(y \ z,u) \ w) = T(x,T(z \ y,u) * w). [hyper(11047,a,11570,a),flip(a)]. 11572 T(x,T(y \ z,u) \ w) != v5 | T(x,T(z \ y,u) * w) = v5. [para(11570(a,1),11047(a,1))]. 11573 L(x,y * (K(z,u) * w),y * (K(z,u) * w)) = L(x,y * w,y * w). [para(10860(a,1),11509(a,1,3))]. 11574 L(x,y * (T(z,u) * w),y * (K(z,u) * (z * w))) = L(x,y * (z * w),y * (z * w)). [para(2750(a,1),11573(a,1,2,2))]. 11575 (K(x,y) / z) \ T(1 / u,K(x,y)) = (1 / (u * (z \ 1))) * K(x,y). [para(5580(a,1),11526(a,1,1))]. 11576 (K(x,y) / z) \ (1 / T(u,K(x,y))) = (1 / (u * (z \ 1))) * K(x,y). [para(5562(a,2),11575(a,1,2))]. 11577 (K(x,y) / z) \ (1 / T(u,K(x,y))) = ((1 / z) \ (1 / u)) * K(x,y). [para(4096(a,1),11576(a,2,1))]. 11578 L(x,(y / z) * u,(y / z) * u) = L(x,(z \ y) * u,(z \ y) * u). [para(100(a,1),11537(a,1,3,1)),flip(a)]. 11579 L(x,y * T(z,u),T(T(z,y),u) * y) = L(x,y * z,T(z,y) * y). [para(2786(a,1),11539(a,1,2))]. 11580 L(x,y * T(z,u),y * T(z,u)) = L(x,y * z,T(z,y) * y). [para(2786(a,1),11579(a,1,3))]. 11581 L(x,y * T(z,u),y * T(z,u)) = L(x,y * z,y * z). [para(2778(a,1),11580(a,2,3))]. 11582 (x * (y * (x \ z))) * ((x \ (x * (y * (x \ z)))) \ 1) = L(x,(x * y) * z,(x * y) * z). [hyper(58,a,7692,a,b,11581,a)]. 11583 L(x,y * (z \ u),y * T(u / z,z)) = L(x,y * (u / z),y * (u / z)). [para(100(a,1),11581(a,1,2,2))]. 11584 L(x,y * (z * y),(y * y) * T(z,y \ 1)) = L(x,(y * y) * z,(y * y) * z). [para(3092(a,1),11581(a,1,2))]. 11585 L(x,y * (z / u),y * (z / u)) = L(x,y * (u \ z),y * (u \ z)). [para(100(a,1),11583(a,1,3,2)),flip(a)]. 11586 L(x,y * (z * (u \ 1)),y * (z / u)) = L(x,y * (u \ z),y * (u \ z)). [hyper(9257,a,11585,a)]. 11587 L(x,((y \ 1) * z) * z,z * (z / y)) = L(x,z * (y \ z),z * (y \ z)). [hyper(58,a,9212,a,b,11586,a)]. 11588 L(x \ ((y * (z * z)) / x),z * (x \ z),z * (x \ z)) = (x \ y) / (z \ (z \ x)). [hyper(58,a,10133,a(flip),b,11587,a),flip(a)]. 11589 L((x \ y) \ 1,(x \ y) \ 1,x) \ 1 = K(y,x * (y \ x)) * (x \ y). [hyper(272,a,5578,a(flip),b,11465,a),flip(a)]. 11590 (L(x \ y,x \ y,x) \ 1) \ 1 = K(y,x * (y \ x)) * (x \ y). [para(5085(a,1),11589(a,1,1))]. 11591 (L(x \ y,x,x \ y) \ 1) \ 1 = K(y,x * (y \ x)) * (x \ y). [para(10354(a,2),11590(a,1,1,1))]. 11592 K(x,y * (x \ y)) * (y \ x) = (T(x / y,x) \ 1) \ 1. [para(2340(a,1),11591(a,1,1,1)),flip(a)]. 11593 K(x,y * (x \ y)) * (y \ x) = (x \ y) \ 1. [para(3041(a,1),11592(a,2,1))]. 11594 L(x,(y * y) * z,(y * y) * z) = L(x,y * (z * y),y * (z * y)). [para(3092(a,1),11584(a,1,3)),flip(a)]. 11595 L(x,y * (z * y),y * (z * y)) = L(x,y * (y * z),y * (y * z)). [hyper(58,a,9233,a(flip),b,11594,a),flip(a)]. 11596 L(x * (y * x),x * (x * y),x * (x * y)) = ((x * y) \ 1) \ x. [hyper(58,a,4605,a(flip),b,11595,a),flip(a)]. 11598 T(x,y * (T(a(z,u,w),v5) * v6)) = T(x,y * (a(z,u,w) * v6)). [hyper(58,a,11411,a(flip),b,11394,a),flip(a)]. 11600 T(L(x,y \ z,y \ z),a(u,y \ z,y \ z)) = T(x,T(z * (y \ (z / y)),u)). [para(11456(a,1),11455(a,1,2))]. 11601 T(x,T(y * (z \ (y / z)),u)) = L(x,z \ y,z \ y). [hyper(5601,a,11600,a),flip(a)]. 11602 T(x,T(y * (z \ (y / z)),u)) != w | L(x,z \ y,z \ y) = w. [para(11600(a,1),5601(a,1))]. 11604 L(x,y \ z,y \ z) != u | T(x,z * (y \ (z / y))) = u. [para(11601(a,1),5731(a,1))]. 11605 K(x,L(y,z,K(u,w) * v5)) = K(x,(v5 * z) \ (v5 * (z * y))). [hyper(58,a,11548,a(flip),b,11557,a),flip(a)]. 11607 K(x,L(y,z,K(u,w) * v5)) = K(x,L(y,z,v5)). [para(13(a,2),11605(a,2,2))]. 11609 x \ (L(y * (z * z),z * (x \ z),z * (x \ z)) / x) = (x \ y) / (z \ (z \ x)). [hyper(58,a,9493,a(flip),b,11588,a)]. 11610 x \ ((y * (y * L(z,y * (x \ y),y * (x \ y)))) / x) = (x \ z) / (y \ (y \ x)). [para(5959(a,1),11609(a,1,2,1))]. 11611 T(K(x,y) * z,u) * K(y,T(x,w)) = K(y,x) * T(z * K(x,T(y,w)),u). [para(10894(a,1),11128(a,1,2,1)),flip(a)]. 11612 K(x,T(y,z)) * T(u * K(y,x),w) = K(x,y) * T(u * K(y,T(x,z)),w). [hyper(58,a,10924,a(flip),b,11611,a)]. 11613 L(x,y,z * (((u \ w) * v5) * T(v6,(u \ w) * v5))) = L(x,y,z * (v6 * ((w \ u) \ v5))). [para(8614(a,1),11132(a,1,3,2,2))]. 11614 T(x,T((((1 / y) * z) \ 1) * u,z)) = T(x,T(u,y \ 1) * ((y \ 1) \ (z \ 1))). [hyper(6005,a,11178,a)]. 11615 T(x,T(((1 / y) * z) \ u,z)) = T(x,T(u,y \ 1) * ((y \ 1) \ (z \ 1))). [hyper(6509,a,11614,a)]. 11616 T(x,T((y \ z) * u,y)) = T(x,T(u,z \ 1) * ((z \ 1) \ (y \ 1))). [hyper(58,a,9791,a(flip),b,11615,a)]. 11617 T(x,T((y \ z) * u,y)) = T(x,T(u,z \ 1) * (z / y)). [hyper(272,a,8485,a(flip),b,11616,a),flip(a)]. 11618 T(x,T((y \ z) * u,y)) = T(x,T(u,z) * (z / y)). [hyper(272,a,8474,a(flip),b,11617,a),flip(a)]. 11619 L(x,K(y,z \ u) * ((1 / z) / w),v5) = L(x,(1 / z) * (K(y,u / z) / w),v5). [hyper(58,a,9232,a(flip),b,11245,a),flip(a)]. 11620 L(x,K(y,z \ u) * ((1 / z) / w),v5) = L(x,z \ (K(y,u / z) / w),v5). [hyper(272,a,9194,a(flip),b,11619,a),flip(a)]. 11621 L(x,K(y,z \ u) / (w * z),v5) = L(x,z \ (K(y,u / z) / w),v5). [hyper(58,a,10009,a(flip),b,11620,a)]. 11622 T(x,T(y,z) * T((z * u) * u,w)) = T(x,T(z * (u * u),w) * y). [hyper(58,a,5774,a(flip),b,11274,a),flip(a)]. 11623 T(x,T(y,z) * T(z * (u * u),w)) = T(x,T(z * (u * u),w) * y). [hyper(58,a,11273,a(flip),b,11622,a)]. 11624 T(T(x,y * (z \ K(u,w))),K(v5,y * (z \ K(u,w)))) = T(x,T(y * (K(u,w) / z),v5)). [para(11343(a,1),11371(a,1,2))]. 11625 T(x,y * (K(z,u) * ((w \ 1) / (1 / v5)))) = T(x,y * (((v5 \ 1) * w) \ K(z,u))). [para(3(a,1),11435(a,1,2,2,2)),flip(a)]. 11626 T(T(x,y * (z \ (y * u))),K(w,y * (z \ (y * u)))) = T(x,T((y * (z \ y)) * u,w)). [para(11390(a,1),11481(a,1,2))]. 11627 L(x,y * (T(z,u) * w),y * (T(z,u) * w)) = L(x,y * (z * w),y * (z * w)). [para(2750(a,1),11574(a,1,3,2))]. 11628 L(x,y * ((z \ u) * w),y * (T(u / z,z) * w)) = L(x,y * ((u / z) * w),y * ((u / z) * w)). [para(100(a,1),11627(a,1,2,2,1))]. 11629 L(x,y,z * (u * ((w \ v5) \ v6))) = L(x,y,z * (u * ((v5 \ w) * v6))). [para(98(a,1),11613(a,1,3,2)),flip(a)]. 11630 L(x,y,z * (u * ((w \ 1) * v5))) = L(x,y,z * (u * (w \ v5))). [para(60(a,1),11629(a,1,3,2,2,1)),flip(a)]. 11631 L(x,y,z * (u * (((w \ 1) \ 1) \ v5))) = L(x,y,z * (u * (w \ v5))). [hyper(58,a,9054,a,b,11630,a)]. 11632 L(x,y,z * (u * (((w \ 1) \ (v5 \ 1)) * v6))) = L(x,y,z * (u * (((w / v5) \ 1) \ v6))). [para(4191(a,1),11630(a,1,3,2,2,1))]. 11633 L(x,y,z * (u * (((w \ 1) \ (v5 \ 1)) \ v6))) = L(x,y,z * (u * ((w / v5) \ v6))). [para(4191(a,1),11631(a,1,3,2,2,1))]. 11634 L(x,y,z * (u * (((w \ 1) \ (v5 \ 1)) * v6))) = L(x,y,z * (u * ((v5 / w) \ v6))). [hyper(58,a,11629,a(flip),b,11633,a)]. 11635 T(x,T(y * (K(z,u) / w),v5)) = T(x,T(y * (w \ K(z,u)),v5)). [hyper(5497,a,11624,a),flip(a)]. 11636 T(x,T(y / (z * K(u,w)),v5)) = T(x,T(y * (z \ K(u,w)),v5)). [hyper(58,a,9496,a,b,11635,a)]. 11637 T(x,T((y * (z \ y)) * u,w)) = T(x,T(y * (z \ (y * u)),w)). [hyper(5497,a,11626,a),flip(a)]. 11638 T(x,T(y * (z \ (y * (u \ 1))),w)) != v5 | T(x,T((y * (z \ y)) / u,w)) = v5. [para(11637(a,1),9729(a,1))]. 11639 L(x,y,z * (u * (((w \ 1) \ (v5 \ 1)) * v6))) = L(x,y,z * (u * ((w / v5) * v6))). [hyper(272,a,9054,a(flip),b,11632,a),flip(a)]. 11640 L(x,y,z * (u * ((w / v5) \ v6))) = L(x,y,z * (u * ((v5 / w) * v6))). [hyper(58,a,11634,a(flip),b,11639,a)]. 11641 L(x,y,z * (u * ((w / v5) \ (v6 \ 1)))) = L(x,y,z * (u * ((v5 / w) / v6))). [hyper(272,a,9056,a(flip),b,11640,a),flip(a)]. 11642 L(x,y,z * (u / (w * (v5 / v6)))) = L(x,y,z * (u * ((v6 / v5) / w))). [hyper(58,a,9345,a(flip),b,11641,a)]. 11643 L(x,y \ (y \ (1 / y)),y \ (y \ (1 / y))) = T(x,y \ ((y * y) \ ((y * y) \ (y \ 1)))). [para(3561(a,2),10466(a,2,2,2,2))]. 11644 L(x,y \ (y \ 1),K(z,u)) * ((y \ 1) * (y \ K(z,u))) = (x * (y \ (1 / y))) * K(z,u). [para(2466(a,1),10763(a,1,1))]. 11645 K(x,K(y,z)) * ((u * (K(x,K(y,z)) * w)) \ (u * (w * v5))) = L(v5,K(x,K(y,z)) * w,u). [hyper(58,a,10961,a(flip),b,10977,a)]. 11646 K(x,K(y,z) * ((u * (w * (K(y,z) * v5))) \ ((u * w) * v5))) = a(x,w,K(K(y,z) * v5,u)). [hyper(272,a,10584,a,b,11555,a),flip(a)]. 11648 (x * (y * (x \ z))) * ((y * (x \ z)) \ 1) = L(x,(x * y) * z,(x * y) * z). [para(4(a,1),11582(a,1,2,1))]. 11649 L(x,(x * y) * z,(x * y) * z) = L(x,y * (x \ z),y * (x \ z)). [hyper(2026,a,11648,a),flip(a)]. 11651 L(x,y \ (y \ (1 / y)),y \ (y \ (1 / y))) = T(x,y \ (y \ (y \ (y \ (y \ (y \ 1)))))). [para(3633(a,1),11643(a,2,2,2))]. 11652 (x * (y \ (1 / y))) * K(z,u) = x * ((y \ 1) * (y \ K(z,u))). [para(10716(a,1),11644(a,1,1)),flip(a)]. 11653 x * ((y \ 1) * (y \ K(z,y \ 1))) = (x / y) * T(1 / y,z). [hyper(58,a,6412,a(flip),b,11652,a),flip(a)]. 11654 x * ((y \ 1) * T(y \ 1,z)) = (x / y) * T(1 / y,z). [para(2653(a,1),11653(a,1,2,2))]. 11655 (x / y) * T(1 / y,z) = x * (y \ T(1 / y,z)). [para(756(a,1),11654(a,1,2)),flip(a)]. 11657 T(x,y * (z \ T(1 / z,u))) = T(x,z \ (T(z,u) \ y)). [para(11655(a,1),11122(a,1,2))]. 11658 T(x,y / (T(z,u) * z)) = T(x,z \ (T(z,u) \ y)). [hyper(58,a,9618,a(flip),b,11657,a)]. 11659 T(x,y / (z * T(z,u))) = T(x,z \ (T(z,u) \ y)). [para(218(a,1),11658(a,1,2,2))]. 11660 T(x,y * ((z * (u * z)) \ u)) = T(x,z \ (T(z,u) \ y)). [hyper(58,a,9694,a,b,11659,a)]. 11661 K(x,K(y,z)) * (K(x,K(y,z)) * ((u * w) \ (u * (w * v5)))) = L(v5,K(x,K(y,z)) * w,u). [para(11521(a,1),11645(a,1,2))]. 11662 L(x,((1 / y) \ y) * y,((1 / y) \ y) * y) = T(x,y \ (y \ (y \ (y \ (y \ (y \ 1)))))). [hyper(58,a,10037,a(flip),b,11651,a)]. 11663 K(x,K(y,z)) * (K(x,K(y,z)) * L(u,w,v5)) = L(u,K(x,K(y,z)) * w,v5). [para(13(a,2),11661(a,1,2,2))]. 11664 L(x,K(y,K(z,u)) * w,v5) = L(x,w,v5). [hyper(3919,a,11663,a),flip(a)]. 11666 L(x,T(y,K(z,u)),w) = L(x,y,w). [para(890(a,2),11664(a,1,2))]. 11667 L(x,y * K(z,K(u,w)),v5) = L(x,y,v5). [para(5225(a,1),11664(a,1,2))]. 11668 L(x,K(y,T(z,u)),w) = L(x,K(y,z),w). [para(5240(a,1),11664(a,1,2))]. 11669 L(x,T(y,K(z,u)) / w,v5) = L(x,y / w,v5). [para(5591(a,1),11664(a,1,2))]. 11670 L(x,y * (K(z,K(u,w)) * v5),v6) = L(x,y * v5,v6). [para(10901(a,1),11664(a,1,2))]. 11671 L(x,T((K(y,z) * u) \ w,K(v5,v6)),v7) = L(x,(u \ K(y,z)) * w,v7). [hyper(272,a,9220,a(flip),b,11666,a),flip(a)]. 11672 L(x,K(y,z) / u,w) = L(x,u \ K(y,z),w). [hyper(58,a,9990,a(flip),b,11666,a)]. 11673 L(x,(K(y,T(z,u)) * w) \ v5,v6) = L(x,(K(y,z) * w) \ v5,v6). [para(11519(a,1),11667(a,1,2))]. 11675 L(x,K(y,T(z,u)),w) = L(x,z,K(w,y)). [hyper(272,a,10745,a(flip),b,11668,a),flip(a)]. 11676 L(x,T(y,z),K(u,w)) = L(x,y,K(u,w)). [hyper(58,a,10745,a(flip),b,11675,a)]. 11677 L(x,y,K(T(z,u),w)) = L(x,z,K(y,w)). [hyper(58,a,10727,a,b,11676,a)]. 11678 L(x,y,K(z,T(u,w))) = L(x,z,K(y,u)). [para(5239(a,1),11677(a,1,3))]. 11679 L(x,y,K(z,u)) * (K(y,u) * z) = (x * z) * K(y,T(u,z)). [para(11678(a,1),10764(a,1,1))]. 11680 L(x,y / z,T(z,u)) = L(x,z \ y,T(z,u)). [hyper(58,a,9010,a(flip),b,11669,a),flip(a)]. 11681 L(x,K(y,z) * (u / y),w) = L(x,u / T(y,z),w). [para(5483(a,1),11669(a,1,2))]. 11682 L(x,(y * z) \ K(u,z \ w),v5) = L(x,z \ (K(u,w / z) / y),v5). [hyper(58,a,11621,a(flip),b,11672,a),flip(a)]. 11684 L(x,y * (z \ T(u,K(w,v5))),v6) = L(x,y * (z \ u),v6). [para(4500(a,1),11670(a,1,2,2))]. 11685 L(x,y / T(z,u),z) = L(x,T(z,u) \ y,z). [hyper(58,a,9011,a(flip),b,11681,a),flip(a)]. 11687 L(x,(K(y,T(z,u)) * w) \ v5,v6) = L(x,(w \ K(y,z)) * v5,v6). [hyper(272,a,9220,a(flip),b,11673,a),flip(a)]. 11688 L(x,(y * K(z,u)) \ w,v5) = L(x,(y \ K(z,u)) * w,v5). [para(5252(a,1),11687(a,1,2,1))]. 11689 L(x,K(y,z) * (u \ T(w,K(y,z))),v5) = L(x,(u \ K(y,z)) * w,v5). [para(11527(a,1),11671(a,1,2))]. 11690 L(x,y \ (K(z,1 / y) / u),w) = L(x,y \ (u \ K(y,z)),w). [hyper(58,a,10080,a(flip),b,11682,a),flip(a)]. 11691 L(x,y \ (K(z,y \ 1) / u),w) = L(x,y \ (u \ K(y,z)),w). [para(2369(a,1),11690(a,1,2,2,1))]. 11692 L(x,(y \ K(z,u)) * w,v5) = L(x,K(z,u) * (y \ w),v5). [hyper(58,a,11684,a(flip),b,11689,a),flip(a)]. 11694 L(x,(y * K(z,u)) \ w,v5) = L(x,K(z,u) * (y \ w),v5). [hyper(58,a,11688,a,b,11692,a)]. 11695 T(x,y \ (y \ (y \ (y \ (y \ (y \ 1)))))) = L(x,y * (y * y),((1 / y) \ y) * y). [para(366(a,1),11662(a,1,2)),flip(a)]. 11696 T(x,y \ (y \ (y \ (y \ (y \ (y \ 1)))))) = L(x,y * (y * y),y * (y * y)). [para(366(a,1),11695(a,2,3))]. 11697 T(x,y \ (y \ (y \ (y \ (y \ (y \ 1)))))) = L(x,y,y). [hyper(272,a,7178,a(flip),b,11696,a),flip(a)]. 11698 (x \ (x \ (x \ (x \ (x \ (x \ 1)))))) * L(y,x,x) = y * (1 / (x * (x * (x * (x * (x * x)))))). [para(11697(a,1),7765(a,1,2))]. 11699 T(x,y * K(z,u)) \ T(y * T(T(x,K(z,u)),y * K(z,u)),K(z,u)) = T(y,x * K(z,u)). [para(18(a,1),11433(a,1,2,1,2))]. 11700 T(x,T(y,z) * ((((1 / y) * u) * K(y,z)) * w)) = T(x,(K(y,z) * (u * y)) * (T(y,z) \ w)). [para(3176(a,2),11483(a,2,2,1))]. 11701 L(x,y \ T(z,u),T(T(z,y),u) * (y \ 1)) = L(x,y \ z,T(z,y) * (y \ 1)). [para(681(a,1),11538(a,1,2))]. 11702 L(x,y \ T(z,u),y \ T(z,u)) = L(x,y \ z,T(z,y) * (y \ 1)). [para(681(a,1),11701(a,1,3))]. 11703 L(x,y \ T(z,u),y \ T(z,u)) = L(x,y \ z,y \ z). [para(676(a,1),11702(a,2,3))]. 11704 L(x,(y \ (1 / z)) * u,(((y * z) * z) \ z) * u) = L(x,u \ (y * z),u \ (y * z)). [hyper(58,a,10137,a,b,11703,a)]. 11706 L(x,(y \ (1 / z)) * u,(y \ (1 / z)) * u) = L(x,u \ (y * z),u \ (y * z)). [para(4623(a,1),11704(a,1,3,1))]. 11707 L(x,(y \ (1 / z)) * u,(z * y) \ u) = L(x,u \ (y * z),u \ (y * z)). [hyper(58,a,9126,a(flip),b,11706,a)]. 11708 L(x,(y * z) \ u,(y * z) \ u) = L(x,u \ (z * y),u \ (z * y)). [hyper(58,a,10058,a(flip),b,11707,a)]. 11709 L(x,(y * (z * u)) \ (z * y),(y * (z * u)) \ (z * y)) = L(x,L(u,z,y),(y * z) \ (y * (z * u))). [para(13(a,2),11708(a,1,2)),flip(a)]. 11710 L(x,(y * (z * u)) \ (u * y),(y * (z * u)) \ (u * y)) = L(x,L(T(z,u),u,y),(y * u) \ (y * (z * u))). [para(211(a,1),11708(a,1,2)),flip(a)]. 11711 L(x,(y * (z * u)) \ (u * y),(y * (z * u)) \ (u * y)) = L(x,R(T(z,u * y),u,y),(u * y) \ ((z * u) * y)). [para(546(a,1),11708(a,2,2))]. 11712 T(x,y * K(z,u)) \ (T(x,K(z,u)) * T(y,K(z,u))) = T(y,x * K(z,u)). [para(11395(a,1),11699(a,1,2))]. 11713 K(x,K(y,z)) * (K(u * K(y,z),x) * T(u,K(y,z))) = T(u,x * K(y,z)). [hyper(6522,a,11712,a)]. 11714 K(x,K(y,z)) * T(K(u * K(y,z),x) * u,K(y,z)) = T(u,x * K(y,z)). [para(11447(a,2),11713(a,1,2))]. 11715 K(x,K(y,z)) * T(u * K(K(y,z) * u,x),K(y,z)) = T(u,x * K(y,z)). [para(6088(a,1),11714(a,1,2,1))]. 11716 K(x,K(y,z)) * (K(y,z) \ T(u * K(y,z),x)) = T(u,x * K(y,z)). [para(5721(a,1),11715(a,1,2))]. 11717 K(x,K(y,z)) * (K(z,y) * T(u * K(y,z),x)) = T(u,x * K(y,z)). [para(3882(a,1),11716(a,1,2))]. 11718 K(x,T(y,z)) * T(u * K(y,x),z) = T(u,z * K(y,x)). [hyper(58,a,5804,a(flip),b,11717,a)]. 11719 K(x,y) * T(z * K(y,T(x,u)),u) = T(z,u * K(y,x)). [hyper(58,a,11612,a(flip),b,11718,a)]. 11720 T(x * K(y,T(z,u)),u) = K(y,z) * T(x,u * K(y,z)). [hyper(3894,a,11719,a),flip(a)]. 11721 (x * (y * K(z,u))) / T(x * K(z,T(u,y)),y) = R(y,K(z,u),x). [para(11720(a,2),8124(a,2,2)),flip(a)]. 11722 R(x,K(y,z),u) = L(x,K(y,z),u). [hyper(58,a,8862,a(flip),b,11721,a),flip(a)]. 11723 ((x * (x * K(y,z))) * u) / (K(y,z) * u) = L(x * x,K(y,z),u). [hyper(58,a,5672,a,b,11722,a)]. 11724 L(x,K(y,z),u) * (K(y,z) * u) = (x * K(y,z)) * u. [para(11722(a,1),93(a,1,1))]. 11725 L(x,y,K(z,u)) * (K(y,u) * z) = (x * K(y,u)) * z. [para(10744(a,1),11724(a,1,1))]. 11726 (x * y) * K(z,T(u,y)) = (x * K(z,u)) * y. [hyper(58,a,11679,a(flip),b,11725,a)]. 11727 T(((x * K(y,z)) * u) \ (K(y,z) * u),K(y,z) * u) = L(x,y,K(u,z)) \ 1. [para(11725(a,1),2767(a,1,1,1))]. 11728 T(x,y * ((z * K(u,w)) * v5)) = T(x,y * (K(u,w) * (z * v5))). [para(11726(a,1),11382(a,1,2,2))]. 11729 T(x,y * ((T(z,u) / T(u,w)) * v5)) = T(x,y * (K(u,w) * ((u \ z) * v5))). [hyper(58,a,8663,a,b,11728,a)]. 11730 T(x,y * (K(z,T(u,w)) * ((v5 \ w) * v6))) = T(x,y * (((v5 \ K(z,u)) * w) * v6)). [hyper(58,a,11515,a(flip),b,11728,a),flip(a)]. 11731 ((x * x) * (K(y,z) * u)) / (K(y,z) * u) = L(x * x,K(y,z),u). [para(11113(a,1),11723(a,1,1))]. 11732 L(x * x,K(y,z),u) = x * x. [hyper(279,a,11731,a),flip(a)]. 11734 L(x * x,y,K(z,u)) = x * x. [hyper(58,a,11675,a(flip),b,11732,a)]. 11735 ((x * x) * y) * K(z,u) = (x * x) * (y * K(z,u)). [para(11734(a,1),10706(a,1,1)),flip(a)]. 11736 K(x,L(y,z,u * u)) = K(x,y). [hyper(8260,a,11735,a)]. 11737 (x * x) * (((1 / x) * y) * K(z,u)) = (x * y) * K(z,u). [para(3352(a,1),11735(a,1,1)),flip(a)]. 11738 K(x,L(y,z * z,u)) = K(x,y). [hyper(10685,a,11736,a)]. 11739 K(x,y / ((z * z) * u)) = K(x,z \ (z \ (y / u))). [hyper(58,a,10629,a(flip),b,11738,a)]. 11741 K(x,y / (z * (u * u))) = K(x,u \ (u \ (y / z))). [hyper(58,a,9472,a(flip),b,11739,a)]. 11742 K(x,y / (z * (z * u))) = K(x,z \ (z \ (y / u))). [para(2956(a,1),11741(a,1,2,2))]. 11743 K(x,y \ (y \ (z / u))) * (x * w) = T(x,z / (y * (y * u))) * w. [para(11742(a,1),2750(a,1,1))]. 11744 x * ((y * (K(z,u) * x)) / x) = (x * y) * K(z,u). [hyper(6595,a,11737,a)]. 11745 ((x * y) * K(z,u)) / x = x \ (y * (K(z,u) * x)). [hyper(113,a,11744,a(flip),b,2828,a)]. 11746 x * (x * ((x \ y) * K(z,u))) = (x * y) * K(z,u). [para(5590(a,1),11744(a,1,2))]. 11747 (x * (y * (y * K(z,u)))) / y = y \ ((y * x) * (K(z,u) * y)). [hyper(58,a,11240,a(flip),b,11745,a)]. 11748 x \ ((x * y) * K(z,u)) = x * ((x \ y) * K(z,u)). [hyper(117,a,11746,a)]. 11750 (x * ((x \ y) * K(z,u))) / x = L(y,x,x) * (K(z,u) / x). [hyper(113,a,11748,a(flip),b,3121,a)]. 11751 L(x,y,y) * (K(z,u) / y) != w | T((y \ x) * K(z,u),y) = w. [para(11750(a,1),2785(a,1))]. 11752 (x * (y * (y * K(z,u)))) / y = (L(x,y,y) * K(z,u)) * y. [hyper(272,a,3140,a(flip),b,11747,a),flip(a)]. 11753 (x * (y * (y * K(z,u)))) / y = T(y * (x * K(z,u)),y). [hyper(272,a,5964,a(flip),b,11752,a),flip(a)]. 11754 x \ (y * (x * (x * K(z,u)))) = x * (y * K(z,u)). [hyper(2830,a,11753,a(flip))]. 11755 ((1 / x) * y) * (K(z,u) * x) = (x * (y * K(z,u))) / x. [para(11754(a,1),5679(a,1,1)),flip(a)]. 11756 ((1 / x) * y) * (K(z,u) * x) = T(y * K(z,u),x). [hyper(272,a,2774,a,b,11755,a),flip(a)]. 11757 ((x * x) \ y) * (K(z,u) * x) = T((x \ y) * K(z,u),x). [para(3261(a,1),11756(a,1,1))]. 11758 T(x,y / (z * (z * u))) = T(x,z \ (z \ (y / u))). [hyper(3213,a,11743,a),flip(a)]. 11760 T(x,y / ((z * u) * u)) = T(x,u \ (u \ (y / z))). [hyper(58,a,9479,a,b,11758,a)]. 11761 T(x,T(y,z) \ (T(y,z) \ (u / (z \ 1)))) = T(x,u / (T(y,z) * (z \ y))). [para(676(a,1),11758(a,1,2,2,2)),flip(a)]. 11762 T(x,(y \ 1) \ ((y \ 1) \ (z / u))) = T(x,z / (u * (y \ (1 / y)))). [para(3027(a,1),11758(a,1,2,2)),flip(a)]. 11763 T(x,y / ((z \ 1) * (z * ((1 / z) / u)))) = T(x,(z \ 1) \ ((z \ 1) \ (y / (z / u)))). [para(4639(a,1),11758(a,1,2,2,2))]. 11764 T(x,y \ (y \ (((z * T(y * u,y)) * y) / u))) = T(x,R(z,T(y * u,y),y)). [para(2846(a,1),11758(a,1,2)),flip(a)]. 11765 T(x,y * ((y \ z) * (y \ (1 / u)))) = T(x,y \ (y \ ((z * y) / u))). [hyper(58,a,11477,a,b,11760,a)]. 11766 T(x,(y \ 1) \ ((y \ 1) \ (z / (1 / u)))) = T(x,z / (y \ (1 / (u * y)))). [para(4975(a,1),11762(a,2,2,2))]. 11767 T(x,T(y,z) \ (T(y,z) \ (u / (z \ 1)))) = T(x,u / (z \ (y * y))). [para(4077(a,1),11761(a,2,2,2))]. 11768 T(x,T(y,z) \ (T(y,z) \ (u / (z \ 1)))) = T(x,u * ((y * y) \ z)). [hyper(272,a,9690,a(flip),b,11767,a),flip(a)]. 11769 T(x,T(y,z) \ (T(y,z) \ (u / (z \ 1)))) = T(x,u * (y \ (y \ z))). [hyper(272,a,8479,a(flip),b,11768,a),flip(a)]. 11770 T(x,y \ (y \ (z / (u \ 1)))) = T(x,z * (y \ (y \ u))). [para(3947(a,1),11769(a,1,2))]. 11771 T(x,y \ (y \ (z * u))) = T(x,z * (y \ (y \ u))). [hyper(58,a,9621,a(flip),b,11770,a)]. 11773 x \ T(x,y * (z \ (z \ u))) = K(x,z \ (z \ (y * u))). [hyper(112,a,11771,a(flip),b,2674,a(flip))]. 11774 K(x,y \ (y \ (z * u))) = K(x,z * (y \ (y \ u))). [hyper(2691,a,11773,a),flip(a)]. 11775 K(x,(y * z) * (y \ (y \ u))) != w | K(x,T(z * (u / y),y)) = w. [para(11774(a,1),8827(a,1))]. 11776 T(x,(y \ 1) \ ((y \ 1) \ (z / (1 / u)))) = T(x,z * ((1 / (u * y)) \ y)). [hyper(272,a,9690,a(flip),b,11766,a),flip(a)]. 11777 T(x,(y \ 1) \ ((y \ 1) \ (z / (1 / u)))) = T(x,z * ((u * y) * y)). [hyper(272,a,8518,a(flip),b,11776,a),flip(a)]. 11778 T(x,(y \ 1) \ ((y \ 1) \ (z / (1 / u)))) = T(x,z * (y * (y * u))). [hyper(272,a,8521,a(flip),b,11777,a),flip(a)]. 11779 T(x,(y / (1 / z)) * ((1 / u) \ u)) = T(x,y * (u * (u * z))). [para(4391(a,1),11778(a,1,2))]. 11780 T(x,(y / (1 / z)) * (u * u)) = T(x,y * (u * (u * z))). [hyper(58,a,8518,a(flip),b,11779,a)]. 11781 T(x,y * (y * (z / (1 / u)))) = T(x,z * (y * (y * u))). [para(2956(a,1),11780(a,1,2))]. 11782 T(x,y * (y * (z * (u / 1)))) = T(x,z * (y * (y * u))). [hyper(58,a,8911,a(flip),b,11781,a)]. 11783 T(x,y * (z * (z * u))) = T(x,z * (z * (y * u))). [para(70(a,1),11782(a,1,2,2,2,2)),flip(a)]. 11784 T(x,y * (y * (z * (y \ u)))) = T(x,z * (y * u)). [para(5(a,1),11783(a,1,2,2,2)),flip(a)]. 11785 T(x,y * (z * (z * (y \ u)))) = T(x,z * (z * u)). [para(5(a,1),11783(a,2,2,2,2))]. 11786 T(x,T(y,z) * (u * (u * T(z,w)))) = T(x,u * (u * (z * (y * K(z,w))))). [para(4716(a,1),11783(a,2,2,2,2))]. 11787 T(x,y * (y * (z / (u \ y)))) = T(x,z * (y * u)). [hyper(58,a,9603,a,b,11784,a)]. 11788 T(x,T(y,z * (u \ w))) = T(x,T(y,z * (u * w))). [para(11784(a,1),11214(a,1,2)),flip(a)]. 11789 T(x \ y,y * (y * ((x \ y) \ z))) = T(x \ y,z * (y * x)). [hyper(58,a,6350,a(flip),b,11787,a)]. 11790 T(x,T(y,z * ((1 / u) * w))) = T(x,T(y,z * (u * w))). [para(8480(a,2),11788(a,1,2))]. 11791 T(x \ y,y * (y * ((y \ x) * z))) = T(x \ y,z * (y * x)). [hyper(58,a,9635,a(flip),b,11789,a)]. 11792 T(x \ y,((1 / y) \ x) * x) = T(x \ y,x * (y * x)). [para(7266(a,1),11791(a,1,2))]. 11793 T(x \ y,x * (x / (1 / y))) = T(x \ y,x * (y * x)). [hyper(6104,a,11792,a)]. 11794 T(x \ y,x * (y * x)) = T(x \ y,x * (x * y)). [hyper(58,a,8482,a(flip),b,11793,a),flip(a)]. 11795 T(x,T(y,z) * (u * (u * T(z,w)))) = T(x,u * (u * (T(z,w) * y))). [hyper(272,a,11558,a(flip),b,11786,a),flip(a)]. 11796 T(x,y \ (y \ (((z * T(y * u,y)) * y) / u))) = T(x,L(z,T(y * u,y),y)). [hyper(272,a,10615,a(flip),b,11764,a),flip(a)]. 11797 T(x,y \ (y \ (((z * T(y * u,y)) * y) / u))) = T(x,L(z,y * u,y)). [para(9007(a,1),11796(a,2,2))]. 11798 T(x,y * (((z \ K(u,w)) * v5) * v6)) = T(x,y * (K(u,w) * ((z \ v5) * v6))). [hyper(58,a,11350,a(flip),b,11730,a),flip(a)]. 11800 T(x,y * (K(z,u) * ((z \ w) * v5))) = T(x,y * ((T(z,u) \ w) * v5)). [hyper(58,a,8846,a(flip),b,11798,a),flip(a)]. 11801 T(x,y * ((T(z,u) / T(u,w)) * v5)) = T(x,y * ((T(u,w) \ z) * v5)). [hyper(58,a,11729,a,b,11800,a)]. 11802 T(x,y / (z * ((1 / z) * ((1 / z) / u)))) = T(x,(z \ 1) \ ((z \ 1) \ (y / (z / u)))). [para(3556(a,1),11763(a,1,2,2))]. 11803 T(x,y / (z * ((z \ 1) * ((z \ 1) / u)))) = T(x,(z \ 1) \ ((z \ 1) \ (y / (z / u)))). [para(5765(a,1),11802(a,1,2,2,2))]. 11804 T(x,(y \ 1) \ ((y \ 1) \ (z / (y / u)))) = T(x,z / L((y \ 1) / u,y,y)). [para(3109(a,1),11803(a,1,2,2)),flip(a)]. 11805 T(x,(y \ 1) \ ((y \ 1) \ (z / (y / u)))) = T(x,z / (1 / ((1 / u) \ y))). [para(4789(a,1),11804(a,2,2,2))]. 11806 T(x,(y \ 1) \ ((y \ 1) \ (z / (y / u)))) = T(x,z * ((1 / u) \ y)). [hyper(272,a,5984,a(flip),b,11805,a),flip(a)]. 11807 T(x,(y \ 1) \ ((y \ 1) \ (z / (y / u)))) = T(x,z * (u * y)). [hyper(272,a,8518,a(flip),b,11806,a),flip(a)]. 11808 T(x,(y / (z / u)) * ((1 / z) \ z)) = T(x,y * (u * z)). [para(4391(a,1),11807(a,1,2))]. 11809 T(x,(y / (z / u)) * (z * z)) = T(x,y * (u * z)). [hyper(58,a,8518,a(flip),b,11808,a)]. 11810 T(x,y * (y * (z / (y / u)))) = T(x,z * (u * y)). [para(2956(a,1),11809(a,1,2))]. 11811 T(x,y * (y * (z * (u / y)))) = T(x,z * (u * y)). [hyper(58,a,8911,a(flip),b,11810,a)]. 11812 T(x,T((y * z) * u,y)) = T(x,z * (u * y)). [hyper(58,a,9922,a(flip),b,11811,a)]. 11813 T(x,T(y,z * (u / w))) = T(x,T(y,z * (u * w))). [para(11811(a,1),11214(a,1,2)),flip(a)]. 11814 T(x,(x * y) * z) = T(x,y * (z * x)). [hyper(5731,a,11812,a)]. 11815 T(x,L(y,y,z) * (u * w)) = T(x,T(u,y) * (y * w)). [hyper(58,a,11271,a(flip),b,11812,a),flip(a)]. 11816 T(x,(y * z) * R(u,y,z)) = T(x,y * (z * u)). [hyper(58,a,11021,a(flip),b,11812,a)]. 11817 T(x,(y \ z) * (u * y)) = T(x,T(z * u,y)). [para(5(a,1),11812(a,1,2,1,1)),flip(a)]. 11818 L(x,y,T(z,(u * w) * v5)) = L(x,y,T(z,w * (v5 * u))). [para(11812(a,1),11011(a,1,3)),flip(a)]. 11819 T(x,T(y * T((z * u) * u,w),z * (u * u))) = T(x,(z * (u * u)) * (y * K(z * (u * u),w))). [hyper(58,a,10161,a(flip),b,11817,a),flip(a)]. 11820 T(x,T((y / z) * u,y)) = T(x,z \ (u * y)). [hyper(58,a,8617,a(flip),b,11817,a),flip(a)]. 11821 T(x,T(y,z) * (z \ u)) = T(x,z \ (y * u)). [hyper(11171,a,11820,a)]. 11822 T(x,T((y / z) / u,y)) = T(x,z \ ((w \ (w / u)) * y)). [hyper(9728,a,11820,a)]. 11823 T(x,(y / z) * ((y / z) * T(u,y))) = T(x,z \ (((y / z) * u) * y)). [hyper(58,a,11183,a(flip),b,11820,a)]. 11824 T(x,T(y * (z * (u \ (z / u))),z)) = T(x,u \ (((z / u) * y) * z)). [hyper(11241,a,11821,a)]. 11825 T(x,y \ ((y * z) * u)) = T(x,(z * y) * (y \ u)). [hyper(58,a,8565,a(flip),b,11821,a),flip(a)]. 11826 T(x,y \ (T(z,y) * u)) = T(x,z * (y \ u)). [hyper(58,a,5798,a(flip),b,11821,a),flip(a)]. 11827 T(x,y \ (z * (u * y))) = T(x,T(z,y) * T(u,y)). [para(17(a,2),11821(a,1,2,2)),flip(a)]. 11828 T(x,T(y,z) \ (z * u)) = T(x,z * (y \ u)). [para(3955(a,2),11826(a,1,2))]. 11829 T(x,(y * z) \ (y * u)) = T(x,y * ((z * y) \ u)). [hyper(58,a,11388,a(flip),b,11828,a)]. 11830 T(x,y * (z \ (y \ u))) = T(x,T(z,y) \ u). [para(5(a,1),11828(a,1,2,2)),flip(a)]. 11831 T(x,T(y,z) \ (u * z)) = T(x,z * (y \ T(u,z))). [para(98(a,1),11828(a,1,2,2))]. 11832 T(x,(y * z) * R(L(u,w,K(v5,v6)),y,z)) = T(x,y * (L(u,w,K(v5,v6)) * T(z,u))). [para(10992(a,2),11816(a,2,2,2))]. 11833 T(x,y \ ((y * z) * u)) = T(x,y * ((y \ z) * u)). [hyper(272,a,11473,a(flip),b,11825,a),flip(a)]. 11834 T(x,(y \ a(y,z,u)) \ 1) = T(x,z * (((u * (y \ 1)) * z) \ u)). [hyper(58,a,5137,a,b,11829,a)]. 11835 T(x,(((y * z) \ y) * u) * (y * z)) = T(x,y * ((z * y) \ (u * (y * z)))). [hyper(58,a,8567,a(flip),b,11829,a)]. 11836 T(x,K(y,T(z,u)) * ((w * K(y,T(z,u))) \ (u \ v5))) = T(x,(K(y,T(z,u)) * w) \ (u \ (K(y,z) * v5))). [para(10867(a,1),11829(a,1,2,2)),flip(a)]. 11837 T(x,(y * ((y \ 1) \ z)) * (u \ T(y \ z,y * ((y \ 1) \ z)))) = T(x,T(u,y * ((y \ 1) \ z)) \ (z / (1 / (z * y)))). [para(7822(a,1),11831(a,1,2,2)),flip(a)]. 11838 T(x,y * ((y \ (z / u)) * u)) = T(x,L(z,(u \ 1) \ y,u)). [hyper(58,a,10848,a(flip),b,11833,a),flip(a)]. 11839 T(x,(y * (z / u)) * u) = T(x,u * ((u \ y) * z)). [hyper(58,a,8566,a(flip),b,11833,a)]. 11840 T(T(x,K(y,z * u)),y * (z * (u / y))) = T(x,y * ((y \ z) * u)). [hyper(58,a,8080,a,b,11839,a)]. 11841 T(x,y * ((y \ z) * (u * y))) = T(x,(z * u) * y). [para(6(a,1),11839(a,1,2,1,2)),flip(a)]. 11842 T(x,(y * z) * T(u,z)) = T(x,(y * u) * z). [hyper(58,a,11474,a(flip),b,11841,a)]. 11843 T(x,(y * ((z \ u) * (z \ u))) * T(w,(z \ u) * (z \ u))) = T(x,(y * w) * (u * (z \ (u / z)))). [hyper(272,a,9449,a(flip),b,11842,a),flip(a)]. 11844 T(x,(y * T(z,u)) * u) = T(x,(y * u) * z). [hyper(58,a,8594,a(flip),b,11842,a),flip(a)]. 11845 T(x,((y / z) * u) * z) = T(x,y * T(u,z)). [para(7(a,1),11842(a,1,2,1)),flip(a)]. 11846 K(x,T(y,(z * u) * w)) = K(x,T(y,u * (z * w))). [para(11842(a,1),11441(a,1,2))]. 11847 T(x,(y * T(z,(u \ y) / u)) * ((u \ y) / u)) = T(x,((u \ (y / u)) * y) * z). [para(6721(a,2),11844(a,2,2,1))]. 11848 T(x,(y \ z) * T(u,z)) = T(x,(y \ u) * z). [hyper(58,a,9821,a(flip),b,11845,a),flip(a)]. 11849 T(x,(y \ (z * z)) * u) = T(x,z * (z * (y \ u))). [hyper(58,a,10433,a(flip),b,11848,a),flip(a)]. 11850 x * K(x,T(y,z * (u * w))) = T(x,T(y,(u * z) * w)). [hyper(114,a,11846,a(flip),b,2672,a(flip))]. 11851 T(x,(y * (y / z)) * u) = T(x,y * (y * (z \ u))). [hyper(58,a,8681,a(flip),b,11849,a)]. 11852 T(x,(y \ 1) * ((y \ 1) * (z \ u))) = T(x,(y \ ((y \ 1) / z)) * u). [hyper(58,a,8587,a(flip),b,11851,a),flip(a)]. 11853 T(x,(y \ z) * ((y \ z) * ((y \ 1) \ u))) = T(x,((y \ z) * T(z,y)) * u). [para(678(a,2),11851(a,1,2,1,2)),flip(a)]. 11854 T(x,T(y,z) * (z * u)) = T(x,z * (y * u)). [hyper(58,a,8460,a(flip),b,11815,a),flip(a)]. 11855 T(x,T(y,z) * T(u,z)) = T(x,z * (y * (u / z))). [hyper(8595,a,11854,a)]. 11856 T(x,y * (y * (T(z,y) * u))) = T(x,y * (z * (y * u))). [hyper(58,a,11783,a(flip),b,11854,a)]. 11857 T(x,(y * (z * z)) * u) = T(x,y * (u * (z * z))). [hyper(58,a,8837,a(flip),b,11854,a)]. 11858 T(x,(y * z) * (y * u)) = T(x,y * ((z * y) * u)). [hyper(58,a,8591,a(flip),b,11854,a)]. 11859 T(x,(y * z) * (z * u)) = T(x,z * ((z * y) * u)). [hyper(58,a,8565,a(flip),b,11854,a)]. 11860 T(x,y * (T(z,y) * u)) = T(x,z * (y * u)). [hyper(58,a,5798,a(flip),b,11854,a),flip(a)]. 11861 T(x,y * (z * (y \ u))) = T(x,T(z,y) * u). [para(5(a,1),11854(a,1,2,2)),flip(a)]. 11862 T(x,T(y,z) * (u * z)) = T(x,z * (y * T(u,z))). [para(98(a,1),11854(a,1,2,2))]. 11863 T(x,a(y,z,u) * (w * v5)) = T(x,w * (a(y,z,u) * v5)). [hyper(58,a,11598,a(flip),b,11860,a),flip(a)]. 11864 T(x,L(y,z,u) * (T(w,y) * v5)) = T(x,w * (L(y,z,u) * v5)). [hyper(58,a,11495,a(flip),b,11860,a)]. 11865 T(x,L(T(y,y \ z),u,w) * (T(v5,L(T(y,y \ z),u,w)) * z)) = T(x,v5 * (z / (1 / L(y,u,w)))). [para(8141(a,1),11860(a,2,2,2))]. 11866 T(x,R(y,z,u) * (T(w,L(y,z,u)) * v5)) = T(x,w * (R(y,z,u) * v5)). [para(10615(a,1),11860(a,1,2,2,1))]. 11867 T(x,y * (z * (y \ (u * u)))) = T(x,T(z * (u * u),y)). [hyper(272,a,11181,a,b,11861,a),flip(a)]. 11868 T(x,T(y,z) * (z / u)) = T(x,z * (y / u)). [hyper(58,a,9651,a(flip),b,11861,a),flip(a)]. 11869 T(x,y * (((y \ z) * (y \ z)) * u)) = T(x,T(u * (y \ z),y) * z). [hyper(58,a,8542,a(flip),b,11861,a)]. 11870 T(x,y * ((y \ z) * ((y \ z) * u))) = T(x,T(u * (y \ z),y) * z). [hyper(58,a,8521,a(flip),b,11861,a)]. 11871 K(x,y * (z * (y \ u))) = x \ T(x,T(z,y) * u). [hyper(112,a,11861,a(flip),b,2674,a(flip)),flip(a)]. 11872 T(x,y * ((y \ z) * (y \ u))) = T(x,(z / y) * u). [para(2775(a,1),11861(a,2,2,1))]. 11873 T(x,T((y \ z) * u,y)) = T(x,z * (u / y)). [hyper(58,a,11618,a,b,11868,a)]. 11874 T(a(x,y,z),(u \ w) * v5) = T(a(x,y,z),w * (v5 / u)). [hyper(11033,a,11873,a)]. 11875 T(x,(y * z) * (u / y)) = T(x,T(z * u,y)). [para(4(a,1),11873(a,1,2,1,1)),flip(a)]. 11876 T(x,T(y * (z * u),z)) = T(x,(z * y) * T(u,z)). [hyper(58,a,8593,a(flip),b,11875,a),flip(a)]. 11877 T(x,T(y * (z * u),u)) = T(x,(u * y) * z). [para(6(a,1),11875(a,1,2,2)),flip(a)]. 11878 T(x,T((y / z) * (u * y),y)) = T(x,y * (y * (z \ u))). [hyper(272,a,11851,a(flip),b,11877,a),flip(a)]. 11879 T(x,y * (y * ((y \ z) * u))) = T(x,(y * z) * u). [hyper(58,a,8721,a,b,11877,a)]. 11880 T(x,L(y,z,u) * (z * u)) = T(x,(y * T(u,z)) * z). [hyper(58,a,11080,a(flip),b,11877,a)]. 11881 T(x,L(y,z,u) * (u * z)) = T(x,(y * u) * z). [hyper(58,a,11022,a(flip),b,11877,a)]. 11882 T(x,T(y * (z * ((u * z) \ 1)),z \ 1)) = T(x,((z \ 1) * y) * (u \ z)). [para(3816(a,1),11877(a,1,2,1,2))]. 11884 T(x,T((y * z) * (u \ ((y * z) / u)),z)) = T(x,(z * ((u \ (y * z)) / u)) * y). [para(6727(a,1),11877(a,1,2,1))]. 11885 T(x,T(y * (z * u),y * z)) = T(x,(u * y) * z). [hyper(58,a,6039,a,b,11881,a)]. 11886 T(x,y \ (z * (u * y))) = T(x,y * (z * (u / y))). [hyper(58,a,11827,a,b,11855,a)]. 11887 T(x,((y * z) * z) * u) = T(x,y * (u * (z * z))). [hyper(58,a,8586,a,b,11857,a)]. 11888 T(x,((y * x) * z) * x) = T(x,(x * y) * (x * z)). [hyper(272,a,2315,a,b,11858,a)]. 11889 T(x,y * ((y * z) * (y * u))) = T(x,y * (y * ((z * y) * u))). [hyper(58,a,11783,a(flip),b,11859,a),flip(a)]. 11890 T(x,x * (y * T(z,x))) = T(x,y * (z * x)). [hyper(58,a,5364,a(flip),b,11862,a),flip(a)]. 11891 T(x,L(T(y,z),u,w) * (v5 * z)) = T(x,z * (L(y,u,w) * T(v5,z))). [para(20(a,2),11862(a,1,2,1))]. 11892 T(x,R(T(y,z),u,w) * (v5 * z)) = T(x,z * (R(y,u,w) * T(v5,z))). [para(22(a,2),11862(a,1,2,1))]. 11893 T(x,y * (z * x)) = T(x,x * (y * z)). [hyper(58,a,6349,a(flip),b,11890,a),flip(a)]. 11894 x * K(x \ 1,y * z) = T(x,y * (z * x)). [hyper(272,a,3393,a,b,11893,a)]. 11895 T(x,y * (x * (z * x))) = T(x,x * (y * (x * z))). [hyper(58,a,8520,a(flip),b,11893,a)]. 11896 T(x,x * ((y * z) * x)) = T(x,x * ((y * x) * z)). [hyper(58,a,5391,a(flip),b,11893,a)]. 11897 K(x,y * (z * (y \ u))) = K(x,T(z,y) * u). [hyper(272,a,2672,a,b,11871,a),flip(a)]. 11898 K(x,T(y,z) * (u \ z)) = K(x,z * (y / T(u,z))). [hyper(58,a,8534,a(flip),b,11897,a),flip(a)]. 11899 K(x,T(y,z) * (z * u)) = K(x,z * (y * u)). [para(4(a,1),11897(a,1,2,2,2)),flip(a)]. 11900 K(x,y * (T(z,y) * u)) = K(x,z * (y * u)). [hyper(58,a,5794,a(flip),b,11899,a),flip(a)]. 11901 T(x,y \ (y \ ((z * y) / u))) = T(x,(z / y) * (1 / u)). [hyper(58,a,11765,a(flip),b,11872,a)]. 11902 K(x,y) * T(T(x,y),(z * u) * T(w,z)) = T(x,T(T(u * (z * w),z),y)). [para(11876(a,1),5429(a,1,2))]. 11903 K(x,y) * T(y,z * (u * x)) = T(T(y,x),(x * z) * u). [hyper(58,a,8829,a(flip),b,11879,a)]. 11904 T(x,(y * (y * z)) * u) = T(x,y * (y * (z * u))). [para(4(a,1),11879(a,1,2,2,2,1)),flip(a)]. 11905 T(x,(y * z) * (y * (u / (y * z)))) = T(x,y * ((z * y) \ (u * (y * z)))). [hyper(58,a,11829,a(flip),b,11886,a),flip(a)]. 11906 T(x,((y * z) * z) * u) = T(x,y * (z * (z * u))). [para(2956(a,1),11887(a,2,2,2))]. 11907 T(x,((y * x) * z) * x) = T(x,y * ((x * z) * x)). [hyper(272,a,11814,a(flip),b,11888,a),flip(a)]. 11908 T(x,y * ((y \ (z * z)) * u)) = T(x,y * (z * (z * (y \ u)))). [hyper(58,a,11478,a(flip),b,11906,a)]. 11909 T(x,((y * x) * z) * x) = T(x,y * (x * (z * x))). [hyper(272,a,8520,a(flip),b,11907,a),flip(a)]. 11910 T(x,y * (x * (z * x))) = T(x,x * ((y * x) * z)). [hyper(5780,a,11909,a),flip(a)]. 11911 T(x,L(y,z,u) * (z * u)) = T(x,(y * z) * u). [hyper(272,a,11844,a(flip),b,11880,a),flip(a)]. 11912 T(x,L(y,T(z,u),u * (w * w)) * ((u * (w * w)) * z)) = T(x,(y * T(z,u)) * (u * (w * w))). [hyper(58,a,9183,a(flip),b,11911,a)]. 11913 T(x,T((y / z) / u,y)) = T(x,z \ (u \ y)). [hyper(272,a,9674,a(flip),b,11822,a),flip(a)]. 11914 K(x,T((y / z) / u,y)) = x \ T(x,z \ (u \ y)). [hyper(112,a,11913,a(flip),b,2674,a(flip)),flip(a)]. 11915 T(x,(y \ z) \ (u \ z)) = T(x,T(y / u,z)). [para(72(a,1),11913(a,1,2,1,1)),flip(a)]. 11916 T(x,T((y * z) / u,y)) = T(x,z * (u \ y)). [hyper(58,a,8616,a(flip),b,11915,a),flip(a)]. 11917 T(x,(y \ z) * (u \ y)) = T(x,T(z / u,y)). [hyper(58,a,8614,a(flip),b,11915,a)]. 11918 T(x,T((y * z) * (u \ K(w,v5)),y)) = T(x,z * ((u * K(w,v5)) \ y)). [hyper(58,a,11636,a(flip),b,11916,a)]. 11919 K(x,T((y / z) / u,y)) = K(x,z \ (u \ y)). [hyper(272,a,2672,a,b,11914,a),flip(a)]. 11920 K(x,T(y,z) \ (z \ u)) = K(x,z \ (y \ u)). [hyper(58,a,11169,a(flip),b,11919,a)]. 11921 K(x,(y * z) \ (y \ u)) = K(x,y \ ((z * y) \ u)). [hyper(58,a,8553,a(flip),b,11920,a)]. 11922 K(x,(1 / y) \ (((y * z) * (1 / y)) \ u)) = K(x,L(z,y,y) \ ((1 / y) \ u)). [para(3118(a,1),11921(a,1,2,1)),flip(a)]. 11923 T(x,T(y,(z * u) * w)) = T(x,T(y,u * (z * w))). [hyper(2737,a,11850,a),flip(a)]. 11925 T(x,T(y,z * (u * ((1 / w) * v5)))) = T(x,T(y,(u * z) * (w * v5))). [hyper(58,a,11790,a(flip),b,11923,a),flip(a)]. 11926 T(x,y * (z * (u * (u / y)))) = T(x,T(z * (u * u),y)). [hyper(58,a,8833,a(flip),b,11867,a)]. 11927 T(a(x,y,z),u * (T(w,v5) / v5)) = T(a(x,y,z),(u / v5) * w). [hyper(58,a,11185,a(flip),b,11874,a),flip(a)]. 11928 T(x,y \ ((z * u) * u)) = T(x,u * (u * (y \ z))). [hyper(58,a,11820,a(flip),b,11878,a)]. 11929 T(x,y \ (z * (z * u))) = T(x,z * (z * (y \ u))). [hyper(58,a,8581,a(flip),b,11928,a)]. 11930 T(x,y \ (y \ ((z * y) / u))) = T(x,(z / y) / u). [hyper(272,a,6044,a(flip),b,11901,a),flip(a)]. 11931 T(x,((y * T(z * u,z)) / z) / u) = T(x,L(y,z * u,z)). [hyper(58,a,11797,a(flip),b,11930,a),flip(a)]. 11932 T(x,y * (z * ((y / u) * (1 / T(u,y))))) = T(x,T(z * ((y / u) * (y / u)),y)). [para(2794(a,1),11926(a,1,2,2,2,2))]. 11933 T(x,y * ((y \ (z / u)) * u)) = T(x,L(z,u * y,u)). [para(9195(a,1),11838(a,2,2))]. 11934 T(x,y * ((y \ (z / u)) * u)) = T(x,L(z,y,u)). [hyper(272,a,10624,a(flip),b,11933,a),flip(a)]. 11935 T(x,(y * ((y \ z) * u)) / u) = T(x,L(z,y * u,y)). [para(1157(a,1),11931(a,1,2,1))]. 11936 T(x,y * ((y \ z) * (z \ u))) = T(x,L(u,z * y,z)). [hyper(58,a,8560,a(flip),b,11935,a)]. 11937 T(x,y * ((y \ z) * (z \ u))) = T(x,L(u,y,z)). [hyper(272,a,10624,a(flip),b,11936,a),flip(a)]. 11938 T(x,(y \ 1) * ((y \ 1) * ((z * (y \ 1)) * u))) = T(x,(y \ 1) * (((y \ 1) * z) * (y \ u))). [hyper(58,a,8684,a(flip),b,11889,a),flip(a)]. 11939 T(x,y * ((z * (z / y)) * u)) = T(x,y * (z * (z * (y \ u)))). [hyper(58,a,9458,a(flip),b,11908,a)]. 11940 T(a(x,y,z),(u / w) * v5) = T(a(x,y,z),u * (w \ v5)). [hyper(58,a,8484,a(flip),b,11927,a),flip(a)]. 11941 T(x,y * ((z * (z / y)) * u)) = T(x,z * (z * u)). [hyper(272,a,11785,a(flip),b,11939,a),flip(a)]. 11943 T(x,(y \ 1) * ((((1 / y) / z) * ((y / z) * (1 / y))) * u)) = T(x,((1 / y) / z) * (((1 / y) / z) * u)). [para(4644(a,1),11941(a,1,2,2,1,2))]. 11944 T(x,(y \ a(y,z,u)) \ 1) = T(x,z * (u \ ((u / z) / (y \ 1)))). [hyper(272,a,9833,a(flip),b,11834,a),flip(a)]. 11945 T(x,(y \ a(y,z,u)) \ 1) = T(x,z * (u \ ((u / z) * (1 \ y)))). [hyper(272,a,9611,a(flip),b,11944,a),flip(a)]. 11946 T(x,(y \ a(y,z,u)) \ 1) = T(x,z * (u \ ((u / z) * y))). [para(60(a,1),11945(a,2,2,2,2,2))]. 11947 T(x,y * (z \ ((z / y) * u))) != w | T(x,a(u,y,z) \ u) = w. [para(11946(a,1),4488(a,1))]. 11948 T(x,a(y,z,u) \ y) = T(x,z * ((z \ (y / u)) * u)). [hyper(11947,a,9460,a)]. 11949 T(x,a(y,z,u) \ y) = T(x,L(y,z,u)). [hyper(272,a,11934,a(flip),b,11948,a),flip(a)]. 11950 T((x / (a(y,z,u) \ y)) \ 1,L(y,z,u)) = x \ (a(y,z,u) \ y). [hyper(2913,a,11949,a),flip(a)]. 11951 T((a(x,y,z) \ x) \ u,L(x,y,z)) = u / (a(x,y,z) \ x). [hyper(2811,a,11949,a),flip(a)]. 11952 T(1 / x,L(y,z,u)) * ((a(y,z,u) \ y) * x) = a(y,z,u) \ y. [para(11949(a,1),3032(a,1,1))]. 11953 T(x,(y * z) * T(u \ (y / u),y)) = T(x,u \ (((y / u) * z) * y)). [hyper(58,a,11876,a(flip),b,11824,a)]. 11954 T(T(x,K(y * (y * z),y * u)),(y * (y * z)) * (y * (u / (y * (y * z))))) = T(x,(y * (y * z)) * (((y * y) \ (z \ y)) * u)). [para(3784(a,1),11840(a,2,2,2,1))]. 11955 T(x,(y \ 1) * ((y \ 1) * (z \ u))) = T(x,(y * (y * z)) \ u). [hyper(272,a,8619,a(flip),b,11852,a),flip(a)]. 11956 T(x,(y \ 1) * ((y \ 1) * ((1 / z) \ u))) = T(x,(y * (y * (z \ 1))) \ u). [hyper(58,a,8688,a,b,11955,a)]. 11957 T(x,T(y * (z \ u),z) * u) = T(x,u * (T(u,z) * (z \ y))). [hyper(58,a,11560,a(flip),b,11869,a),flip(a)]. 11958 T(x,(y \ z) * ((y \ z) * (y * u))) = T(x,T(u * (y \ z),y) * z). [hyper(58,a,11783,a(flip),b,11870,a)]. 11959 T(x,y * ((z * K(u,w)) \ v5)) = T(x,y * ((z \ K(u,w)) * v5)). [hyper(58,a,11812,a(flip),b,11918,a),flip(a)]. 11960 T(x,y * (z \ (u * K(w,v5)))) = T(x,y * ((z \ K(w,v5)) * u)). [hyper(58,a,11329,a(flip),b,11959,a)]. 11961 T(x,T(y,z * (u * ((1 / w) * v5)))) = T(x,T(y,z * (u * (w * v5)))). [hyper(272,a,11923,a(flip),b,11925,a),flip(a)]. 11962 T(x,y \ (((z / y) * u) * z)) = T(x,(z * u) * ((y \ z) / y)). [para(6722(a,1),11953(a,1,2,2)),flip(a)]. 11963 T(x,y \ (((z / y) * u) * z)) = T(x,(z * u) * (y \ (z / y))). [hyper(272,a,8513,a(flip),b,11962,a),flip(a)]. 11964 T(x,(y / z) * ((y / z) * T(u,y))) = T(x,(y * u) * (z \ (y / z))). [hyper(58,a,11823,a,b,11963,a)]. 11965 T(x,T(y,z * (u * (w \ v5)))) = T(x,T(y,z * (u * (w * v5)))). [para(8558(a,1),11961(a,1,2))]. 11966 T(x,R(y,z,u) * (T(w,y) * v5)) = T(x,w * (R(y,z,u) * v5)). [hyper(58,a,11495,a(flip),b,11866,a)]. 11968 T(x,R(T(y,z),u,w) * (T(v5,T(y,z)) * z)) = T(x,v5 * (z * R(y,u,w))). [para(2788(a,1),11966(a,2,2,2))]. 11969 T(x,y * ((z * y) \ (u * (y * z)))) = T(x,(z \ u) * (y * z)). [hyper(58,a,9823,a(flip),b,11835,a),flip(a)]. 11971 T(x,y * ((z * y) \ (u * (y * z)))) = T(x,T(u * y,z)). [hyper(272,a,11817,a(flip),b,11969,a),flip(a)]. 11972 T(x,(y \ z) * ((y \ z) * ((y \ 1) \ u))) = T(x,z * (y \ (z * u))). [hyper(272,a,11480,a(flip),b,11853,a),flip(a)]. 11973 T(x,(y \ z) * ((y \ z) * (y * u))) = T(x,z * (y \ (z * u))). [hyper(58,a,8559,a(flip),b,11972,a)]. 11974 T(x,T(y * (z \ u),z) * u) = T(x,u * (z \ (u * y))). [hyper(58,a,11958,a(flip),b,11973,a)]. 11975 T(x,y * (T(y,z) * (z \ u))) = T(x,y * (z \ (y * u))). [hyper(58,a,11957,a(flip),b,11974,a)]. 11976 T(x,T(y * (z * ((u * z) \ 1)),z)) = T(x,((z \ 1) * y) * (u \ z)). [hyper(6005,a,11882,a)]. 11977 T(x,(y * z) * T((u * y) \ 1,y)) = T(x,((y \ 1) * z) * (u \ y)). [hyper(58,a,11876,a(flip),b,11976,a)]. 11978 T(x,((y \ 1) * z) * (u \ y)) = T(x,(y * z) * (u \ (1 / y))). [para(4624(a,1),11977(a,1,2,2)),flip(a)]. 11979 T(x,((y \ 1) * z) * (u \ y)) = T(x,(y * z) / (y * u)). [hyper(272,a,9484,a(flip),b,11978,a),flip(a)]. 11980 T(x,(y * z) / (y * u)) = T(x,(y \ z) * (u \ y)). [hyper(58,a,8587,a(flip),b,11979,a),flip(a)]. 11981 T(x,(y * z) / (y * u)) = T(x,T(z / u,y)). [hyper(272,a,11917,a(flip),b,11980,a),flip(a)]. 11982 T(x,T((y * (z * y)) / u,z / y)) = T(x,(z / (1 / (z * y))) / ((z / y) * u)). [para(7772(a,1),11981(a,1,2,1)),flip(a)]. 11983 T(x,T(T(y * (z * u),z),w)) != v5 | T(x,T((z * y) * T(u,z),w)) = v5. [para(11902(a,1),5431(a,1))]. 11984 T(x,y * ((z * y) \ (u * (y * z)))) = T(x,y * ((z * y) * (u / (y * z)))). [hyper(58,a,11858,a(flip),b,11905,a),flip(a)]. 11985 T(x,(y \ 1) * ((y \ 1) * ((1 / z) \ u))) = T(x,(z \ (y * y)) \ u). [para(3290(a,1),11956(a,2,2,1))]. 11986 T(x,(y \ 1) * ((y \ 1) * ((1 / z) \ u))) = T(x,((y * y) \ z) * u). [hyper(272,a,8614,a(flip),b,11985,a),flip(a)]. 11987 T(x,(y \ 1) * ((y \ 1) * ((1 / z) \ u))) = T(x,(y \ (y \ z)) * u). [hyper(272,a,8471,a(flip),b,11986,a),flip(a)]. 11988 T(x,(y \ 1) * ((y \ 1) * (z * u))) = T(x,(y \ (y \ z)) * u). [hyper(58,a,8683,a(flip),b,11987,a)]. 11989 T(x,(y \ 1) * (y \ (z * u))) = T(x,(y \ (y \ z)) * u). [hyper(58,a,8519,a(flip),b,11988,a)]. 11990 T(x,y \ (y \ (z * u))) = T(x,(y \ (y \ z)) * u). [hyper(6112,a,11989,a)]. 11991 T(x,(y \ (y \ z)) * u) = T(x,z * (y \ (y \ u))). [hyper(58,a,11771,a(flip),b,11990,a),flip(a)]. 11992 T(x,y * (z \ (z \ (y * (z \ (z \ (z \ (z \ y)))))))) = T(x,(z \ (z \ y)) \ 1). [hyper(58,a,9178,a(flip),b,11991,a),flip(a)]. 11993 x \ T(x,y * (z \ (z \ u))) = K(x,(z \ (z \ y)) * u). [hyper(112,a,11991,a(flip),b,2674,a(flip))]. 11994 T(x,(y * T(y,z)) * (z \ (z \ u))) = T(x,(z \ (y * (z \ y))) * u). [para(4684(a,1),11991(a,1,2,1,2)),flip(a)]. 11995 K(x,(y \ (y \ z)) * u) = K(x,z * (y \ (y \ u))). [hyper(2691,a,11993,a),flip(a)]. 11996 K(x,(y * z) * (y \ (y \ u))) = K(x,(y \ z) * u). [para(4(a,1),11995(a,1,2,1,2)),flip(a)]. 11997 K(x,T(y * (z / u),u)) = K(x,(u \ y) * z). [hyper(11775,a,11996,a)]. 11998 T(x,R(T(y,z),u,w) * (T(v5,y) * z)) = T(x,v5 * (z * R(y,u,w))). [hyper(58,a,11351,a(flip),b,11968,a)]. 12000 T(x,y * (R(z,u,w) * T(T(v5,z),y))) = T(x,v5 * (y * R(z,u,w))). [hyper(58,a,11892,a(flip),b,11998,a)]. 12001 T(x,y * ((z * y) * (u / (y * z)))) = T(x,T(u * y,z)). [hyper(58,a,11971,a(flip),b,11984,a),flip(a)]. 12002 K(x,(1 / y) \ (((y * z) * (1 / y)) \ u)) = K(x,L(z,y,y) \ ((y / 1) * u)). [hyper(272,a,9703,a(flip),b,11922,a),flip(a)]. 12003 K(x,(1 / y) \ (((y * z) * (1 / y)) \ u)) = K(x,L(z,y,y) \ (y * u)). [para(70(a,1),12002(a,2,2,2,1))]. 12004 K(x,(1 / y) \ (((y * z) * (1 / y)) \ u)) = K(x,z \ (y * u)). [hyper(272,a,8447,a(flip),b,12003,a),flip(a)]. 12006 K(x,(1 / y) \ ((y * (z / y)) \ u)) = K(x,z \ (y * u)). [para(3535(a,1),12004(a,1,2,2,1))]. 12007 K(x,(1 / y) \ (((y / z) / y) * u)) = K(x,z \ (y * u)). [hyper(9872,a,12006,a)]. 12008 K(x,(1 / y) \ (T(z,y) \ u)) = K(x,z \ (y * u)). [hyper(58,a,9707,a(flip),b,12007,a)]. 12009 K(x,y * (T(z,y) \ u)) = K(x,z \ (y * u)). [hyper(58,a,6076,a(flip),b,12008,a)]. 12010 K(x,T(y,z) * (z \ u)) = K(x,z \ (y * u)). [para(3941(a,2),12009(a,1,2))]. 12011 K(x,T((y / z) * u,y)) = K(x,z \ (u * y)). [hyper(58,a,11165,a,b,12010,a)]. 12012 T(x,(y * T(z,u \ (y / u))) * ((u \ y) / u)) = T(x,((u \ (y / u)) * y) * z). [para(6011(a,1),11847(a,1,2,1,2))]. 12013 T(x,(y * ((z \ (u * y)) / z)) * u) != w | L(x,z \ (u * y),z \ (u * y)) = w. [para(11884(a,1),11602(a,1))]. 12014 T(x,y * (z * (y * (u \ (1 / T(u,y)))))) = T(x,T(z * ((y / u) * (y / u)),y)). [para(8293(a,1),11932(a,1,2,2,2))]. 12015 T(x,T((y * (z * y)) / u,z / y)) = T(x,(z / (1 / (z * y))) * (u \ (y / z))). [hyper(272,a,9687,a(flip),b,11982,a),flip(a)]. 12016 T(x,(y * T(z,u \ (y / u))) * (u \ (y / u))) = T(x,((u \ (y / u)) * y) * z). [hyper(58,a,8513,a(flip),b,12012,a)]. 12017 T(x,T(y * ((z / u) * (z / u)),z)) = T(x,z * (y * ((u \ z) / u))). [para(8301(a,1),12014(a,1,2,2,2)),flip(a)]. 12018 T(x,T(y * ((z / u) * (z / u)),z)) = T(x,z * (y * (u \ (z / u)))). [hyper(272,a,8648,a(flip),b,12017,a),flip(a)]. 12019 T(x,T(y * ((z \ u) * (z \ u)),u)) = T(x,u * (y * (z \ (u / z)))). [para(4115(a,1),12018(a,1,2,1,2))]. 12020 T(x,(y \ z) * ((y \ z) * T(u,z))) = T(x,z * (u * (y \ (z / y)))). [hyper(58,a,11182,a(flip),b,12019,a)]. 12021 T(x,T((y * (z * y)) / u,z / y)) = T(x,(z * (z * y)) * (u \ (y / z))). [hyper(272,a,8473,a(flip),b,12015,a),flip(a)]. 12022 T(x,T((y * (z * y)) / u,z / y)) = T(x,z * (z * (y * (u \ (y / z))))). [hyper(272,a,11904,a(flip),b,12021,a),flip(a)]. 12023 T(x,T((y * (z * y)) / u,y * z)) = T(x,z * (z * (y * (u \ (y / z))))). [hyper(58,a,11232,a(flip),b,12022,a)]. 12024 T(x,(y * z) * L(R(u,y,z),w,K(v5,v6))) = T(x,y * (L(u,w,K(v5,v6)) * T(z,u))). [para(24(a,1),11832(a,1,2,2))]. 12025 T(x,T(y,z) * ((((1 / y) * u) * K(y,z)) * w)) = T(x,(u * y) * (K(y,z) * (T(y,z) \ w))). [hyper(272,a,11367,a(flip),b,11700,a),flip(a)]. 12026 T(x,(y \ 1) * ((y \ 1) * ((z * (y \ 1)) * (y / u)))) = T(x,(y \ 1) * (((y \ 1) * z) / u)). [hyper(272,a,9651,a(flip),b,11938,a),flip(a)]. 12027 T(x,T(y,z) * ((((1 / y) * u) * K(y,z)) * w)) = T(x,(u * y) * (y \ w)). [para(3174(a,1),12025(a,2,2,2))]. 12028 T(x,T(y,z) * ((((1 / y) * u) * K(y,z)) * w)) = T(x,y * ((y \ u) * w)). [hyper(272,a,11473,a(flip),b,12027,a),flip(a)]. 12030 T(x,T(y,z) * ((T(u,y) / T(y,z)) * w)) = T(x,y * ((y \ u) * w)). [para(3996(a,1),12028(a,1,2,2,1))]. 12031 T(x,T(y,z) * ((T(y,z) \ u) * w)) = T(x,y * ((y \ u) * w)). [hyper(58,a,11801,a(flip),b,12030,a)]. 12032 T(x,(y \ 1) * ((y \ 1) * ((z * (y \ 1)) * (y / u)))) = T(x,(y \ 1) * ((y \ z) / u)). [hyper(272,a,8848,a(flip),b,12026,a),flip(a)]. 12033 T(x,(y \ 1) * ((y \ 1) * ((z * (y \ 1)) * (y / u)))) = T(x,y \ ((y \ z) / u)). [hyper(272,a,6009,a(flip),b,12032,a),flip(a)]. 12034 T(x,(y \ 1) * ((y \ 1) * ((z / y) * (y / u)))) = T(x,y \ ((y \ z) / u)). [hyper(58,a,8692,a(flip),b,12033,a)]. 12035 T(x,(y \ 1) * (y \ ((z / y) * (y / u)))) = T(x,y \ ((y \ z) / u)). [hyper(58,a,8519,a(flip),b,12034,a)]. 12036 T(x,y \ (y \ ((z / y) * (y / u)))) = T(x,y \ ((y \ z) / u)). [hyper(6112,a,12035,a)]. 12037 T(x,(y / z) * (z \ (z \ (z / u)))) = T(x,z \ ((z \ y) / u)). [hyper(58,a,11771,a(flip),b,12036,a)]. 12038 T(x,(y / z) / (u * z)) = T(x,z \ ((z \ y) / u)). [hyper(58,a,9615,a(flip),b,12037,a)]. 12040 T(x,y \ ((y \ (z * y)) / u)) = T(x,z / (u * y)). [para(6(a,1),12038(a,1,2,1)),flip(a)]. 12041 T(x,y \ (T(z,y) / u)) = T(x,z / (u * y)). [para(17(a,2),12040(a,1,2,2,1))]. 12042 x * (L(x,y,z) * (a(u,L(x,y,z),L(x,y,z)) * w)) = L(L(x,y,z),L(x,y,z),u) * (x * w). [para(4244(a,2),10550(a,1,2,2,1))]. 12043 K(x,L((y / z) / ((u * (w \ 1)) \ 1),w / u,z)) = K(x,y / (((u * (w \ 1)) \ 1) * z)). [para(9197(a,1),11280(a,1,2))]. 12044 K(x,L((y / z) * (u * (w \ 1)),w / u,z)) = K(x,y / (((u * (w \ 1)) \ 1) * z)). [hyper(58,a,8275,a(flip),b,12043,a)]. 12045 K(x,L((y / z) * (u / w),w / u,z)) = K(x,y / (((u * (w \ 1)) \ 1) * z)). [hyper(58,a,9780,a(flip),b,12044,a)]. 12046 K(x,y / (((z * (u \ 1)) \ 1) * w)) = K(x,y * (w \ (z / u))). [hyper(58,a,11279,a(flip),b,12045,a),flip(a)]. 12047 K(x,y * (z \ (u * (w \ 1)))) = K(x,y * (z \ (u / w))). [hyper(58,a,9668,a(flip),b,12046,a)]. 12048 T(x,K(y,z * (u \ (w / v5))) * (z * (u \ (w / v5)))) = T(x,T(z * (u \ (w * (v5 \ 1))),y)). [para(12047(a,1),9838(a,1,2,1))]. 12049 T(x,T(y * (z \ (u * (w \ 1))),v5)) = T(x,T(y * (z \ (u / w)),v5)). [para(2692(a,2),12048(a,1,2)),flip(a)]. 12050 T(x,T((y * (z \ y)) / u,w)) = T(x,T(y * (z \ (y / u)),w)). [hyper(11638,a,12049,a)]. 12051 T(x,T(T((y * z) * z,z) / u,w)) = T(x,T(z * ((y \ 1) \ (z / u)),w)). [hyper(58,a,9908,a,b,12050,a)]. 12052 T(x,T(T((y * z) * z,z) / u,w)) = T(x,T(z * ((1 \ y) * (z / u)),w)). [hyper(272,a,9896,a(flip),b,12051,a),flip(a)]. 12053 T(x,T(T((y * z) * z,z) / u,w)) = T(x,T(z * (y * (z / u)),w)). [para(60(a,1),12052(a,2,2,1,2,1))]. 12054 x \ (x \ (x \ (x \ ((x * x) \ L(y,x,x))))) = y * (1 / (x * (x * (x * (x * (x * x)))))). [hyper(58,a,7749,a(flip),b,11698,a)]. 12055 x * (1 / (y * (y * (y * (y * (y * y)))))) = y \ (y \ (y \ (y \ (y \ (y \ x))))). [para(3524(a,1),12054(a,1,2,2,2,2)),flip(a)]. 12056 x * (y \ (y \ (y \ (y \ (y \ (y \ 1)))))) = y \ (y \ (y \ (y \ (y \ (y \ x))))). [para(7764(a,1),12055(a,1,2))]. 12057 x \ (x \ (x \ (x \ ((x * x) \ (y * y))))) = y * (x \ (x \ (x \ (x \ (x \ (x \ y)))))). [para(12056(a,1),7750(a,1,2)),flip(a)]. 12058 x \ (x \ (x \ (y * ((x * x) \ (y / x))))) = y * (x \ (x \ (x \ (x \ (x \ (x \ y)))))). [para(7781(a,1),12057(a,1,2,2,2))]. 12059 x \ (x \ (y * (x \ (x \ (x \ (x \ y)))))) = y * (x \ (x \ (x \ (x \ (x \ (x \ y)))))). [para(7787(a,1),12058(a,1,2,2))]. 12060 T(x,y * (y * (z \ (z \ (z \ (z \ (z \ (z \ y)))))))) = T(x,(z \ (z \ y)) \ 1). [para(12059(a,1),11992(a,1,2,2))]. 12061 T(x,y * (y * (z \ (z \ (z \ (z \ (z \ (z \ y)))))))) = T(x,(z * z) * (y \ 1)). [para(4416(a,1),12060(a,2,2))]. 12062 T(x,y * (y * (z \ (z \ (z \ (z \ (z \ (z \ y)))))))) = T(x,(z * z) / y). [hyper(272,a,5988,a(flip),b,12061,a),flip(a)]. 12063 T(x,y * (y * (z \ (z \ (z \ (z \ (z \ (z \ y)))))))) = T(x,z * (z / y)). [hyper(272,a,8523,a(flip),b,12062,a),flip(a)]. 12064 T(x,y * (y * (a(z,u,w) \ (a(z,u,w) \ (a(z,u,w) \ (a(z,u,w) \ (a(z,u,w) \ (a(z,u,w) \ y)))))))) = T(x,(a(z,u,w) / y) * a(z,u,w)). [hyper(272,a,10985,a(flip),b,12063,a),flip(a)]. 12065 T(x,L(y,z * (u * u),T(w,z)) * (T(w,z) * (z * (u * u)))) = T(x,L(y,T(w,z),z * (u * u)) * ((z * (u * u)) * w)). [hyper(272,a,11881,a,b,11912,a)]. 12066 L(L(x,y,z),L(x,y,z),u) * (x * w) = x * (L(x,y,z) * (a(u,x,x) * w)). [para(10492(a,1),12042(a,1,2,2,1)),flip(a)]. 12067 L(L(x,y,z),L(x,y,z),u) * (x * w) = x * (L(x,y,z) * (a(x,x,u) * w)). [para(4244(a,1),12066(a,2,2,2,1))]. 12069 L(L(x,y,z),L(x,y,z),u) * (x * w) = L(x,x,u) * (L(x,y,z) * w). [hyper(272,a,10548,a(flip),b,12067,a),flip(a)]. 12070 L(L(x,y,z),L(x,y,z),u) * (x * w) = x * (L(L(x,x,u),y,z) * w). [hyper(272,a,10549,a(flip),b,12069,a),flip(a)]. 12071 L(L(x,y,z),u,L(x,y,z)) * (x * w) = x * (L(L(x,x,u),y,z) * w). [para(10354(a,2),12070(a,1,1))]. 12072 L(L(x,x,y),z,u) * (x * w) = x * (L(L(x,x,y),z,u) * w). [para(10366(a,1),12071(a,1,1))]. 12073 x * (L(L(x,x,y),z,u) * y) = (x * L(x,z,u)) * y. [hyper(58,a,6127,a(flip),b,12072,a),flip(a)]. 12075 x * ((1 / L(x,y,z)) \ u) = (x * L(x,y,z)) * u. [para(10527(a,1),12073(a,1,2))]. 12076 T((1 / L(x,y,z)) \ u,x) = ((x * L(x,y,z)) * u) / x. [hyper(113,a,12075,a(flip),b,2778,a),flip(a)]. 12077 (x * L(x,y,z)) * u != x * w | (1 / L(x,y,z)) \ u = w. [para(12075(a,1),38(a,1))]. 12078 T((1 / L(x,y,z)) \ u,x) = L(x,y,z) * T(u,x). [hyper(272,a,5149,a(flip),b,12076,a),flip(a)]. 12079 T((1 / L(x,y,z)) \ u,x) = ((x \ L(x,y,z)) * u) * x. [hyper(272,a,2542,a,b,12078,a),flip(a)]. 12080 (1 / x) \ ((x \ L(x,y,z)) * u) = (1 / L(x,y,z)) \ u. [hyper(382,a,12079,a)]. 12081 (((x \ L(x,y,z)) * u) * x) * x = x * ((1 / L(x,y,z)) \ u). [para(12079(a,1),2778(a,1,1))]. 12082 (1 / (x \ 1)) \ (((x \ 1) \ L(x \ 1,y,z)) * u) = (1 / (x \ a(x,z,y))) \ u. [para(1184(a,1),12080(a,2,1,2))]. 12083 (1 / L(x,y,z)) \ x = (1 / x) \ L(x,y,z). [para(2495(a,1),12080(a,1,2)),flip(a)]. 12084 x / (L(x,y,z) \ 1) = (1 / x) \ L(x,y,z). [hyper(58,a,3363,a,b,12083,a)]. 12085 (x \ 1) * ((1 / x) \ L(x,x,y)) = L(x,x,x * y). [para(12084(a,1),11157(a,1,2))]. 12086 (x \ 1) * T((1 / x) \ x,y) = L(x,x,x * y). [para(10363(a,1),12085(a,1,2))]. 12087 x \ T((1 / x) \ x,y) = L(x,x,x * y). [hyper(58,a,7015,a(flip),b,12086,a)]. 12088 T(x,y) \ T((1 / T(x,y)) \ T(x,y),K(y,z)) = L(T(x,y),T(x,y),y \ (x * T(y,z))). [para(4609(a,2),12087(a,2,3))]. 12089 (((x \ L(x,y,z)) * u) * x) * x = (x * L(x,y,z)) * u. [hyper(272,a,12075,a(flip),b,12081,a),flip(a)]. 12090 ((L(x,y,z) * (x \ u)) * x) * x = (x * L(x,y,z)) * u. [para(8307(a,1),12089(a,1,1,1))]. 12091 (x * x) * (L(x,y,z) * (x \ u)) = (x * L(x,y,z)) * u. [hyper(3255,a,12090,a)]. 12092 (x * L(x,y,z)) * (x * u) = (x * x) * (L(x,y,z) * u). [para(4(a,1),12091(a,1,2,2)),flip(a)]. 12093 x \ (((x \ 1) \ L(x \ 1,y,z)) * u) = (1 / (x \ a(x,z,y))) \ u. [para(72(a,1),12082(a,1,1))]. 12095 (1 / (x \ a(x,y,z))) \ u = x \ (a(x,y,z) * u). [para(2503(a,2),12093(a,1,2,1)),flip(a)]. 12096 (a(x,y,z) \ x) \ u = x \ (a(x,y,z) * u). [para(10265(a,1),12095(a,1,1))]. 12097 T(x \ (a(x,y,z) * u),L(x,y,z)) = u / (a(x,y,z) \ x). [para(12096(a,1),11951(a,1,1))]. 12098 L((a(x,y,z) * u) / x,x,K(y,z)) = u / (a(x,y,z) \ x). [hyper(58,a,10732,a,b,12097,a)]. 12099 L(a(x,y,z) * (u / x),x,K(y,z)) = u / (a(x,y,z) \ x). [para(8328(a,1),12098(a,1,1))]. 12100 x / (a(y,z,u) \ y) = (x / y) * a(y,z,u). [hyper(58,a,10835,a(flip),b,12099,a),flip(a)]. 12101 T(((x / y) * a(y,z,u)) \ 1,L(y,z,u)) = x \ (a(y,z,u) \ y). [para(12100(a,1),11950(a,1,1,1))]. 12102 T(a(x,y,z) \ ((u / x) \ 1),L(x,y,z)) = u \ (a(x,y,z) \ x). [para(10814(a,1),12101(a,1,1))]. 12103 L(T(x,y),T(x,y),y \ (x * T(y,z))) = T(x,y) \ T((1 / x) \ x,K(y,z)). [para(5658(a,1),12088(a,1,2,1)),flip(a)]. 12104 L(T(x,y),T(x,y),y \ (x * T(y,z))) = T(x,y) \ ((1 / x) \ x). [para(5570(a,1),12103(a,2,2))]. 12106 L(T(x,y),T(x,y),y \ (x * T(y,z))) = x * ((T(x,y) \ 1) * x). [hyper(272,a,6266,a(flip),b,12104,a),flip(a)]. 12108 L(T(x,y),T(x,y),y \ (x * T(y,z))) = x * (T(x,y) * (1 / x)). [para(5750(a,1),12106(a,2,2))]. 12109 L(T(x,y),T(x,y),y \ (x * T(y,z))) = x * K(x \ 1,x * y). [para(4092(a,2),12108(a,2,2))]. 12110 L(T(x,y),T(x,y),y \ (x * T(y,z))) = T(x,x * (y * x)). [hyper(272,a,11894,a(flip),b,12109,a),flip(a)]. 12111 L(T(x,y),T(x,y),x) = T(x,x * (y * x)). [para(207(a,1),12110(a,1,3))]. 12112 T(x,x * (y * x)) = L(T(x,y),x,x). [hyper(58,a,10739,a(flip),b,12111,a),flip(a)]. 12114 T(x,x * ((y * x) * z)) = L(T(x,y * z),x,x). [hyper(58,a,11896,a(flip),b,12112,a)]. 12115 T(x,x * (x * y)) = L(T(x,y),x,x). [hyper(58,a,11893,a(flip),b,12112,a)]. 12116 T(x,x \ (x \ y)) = L(T(x,y),x,x). [hyper(58,a,8860,a,b,12115,a)]. 12117 T(x,y * (x \ (x \ z))) = L(T(x,y * z),x,x). [hyper(58,a,11771,a(flip),b,12116,a)]. 12118 T(x,y * (x * (z * x))) = L(T(x,y * z),x,x). [hyper(58,a,11910,a,b,12114,a)]. 12119 L(T(x,y * (x * z)),x,x) = T(x,y * (x \ z)). [para(4(a,1),12117(a,1,2,2,2)),flip(a)]. 12120 L(T(x,y * (((1 / x) \ z) * u)),x,x) = T(x,y * (x \ ((z * (u / x)) * x))). [para(666(a,1),12117(a,1,2,2,2)),flip(a)]. 12121 T(x,x * (y * (x * z))) = L(T(x,y * z),x,x). [hyper(58,a,11895,a(flip),b,12118,a)]. 12122 L(T(x \ y,x * ((x \ y) * (y * y))),x \ y,x \ y) = T(x \ y,x / ((y * x) \ 1)). [para(11288(a,1),12119(a,2,2))]. 12123 L(T(x,(y * ((1 / (x * z)) \ y)) * z),x,x) = T(x,x * ((y * (x * z)) * (y * (x * z)))). [para(4619(a,1),12121(a,1,2,2)),flip(a)]. 12124 L(T(x,y * (((x / 1) * z) * u)),x,x) = T(x,y * (x \ ((z * (u / x)) * x))). [para(9877(a,1),12120(a,1,1))]. 12125 T(x,y * (x \ ((z * (u / x)) * x))) = L(T(x,y * ((x * z) * u)),x,x). [para(70(a,1),12124(a,1,1,2,2,1,1)),flip(a)]. 12126 L(T(x,y * ((x * z) * u)),x,x) = T(x,y * T(z * (u / x),x)). [para(17(a,2),12125(a,1,2,2)),flip(a)]. 12127 L(T(x,y * ((x * z) * u)),x,x) = T(x,y * (z * (u / x))). [hyper(272,a,5362,a(flip),b,12126,a),flip(a)]. 12128 L(T(x,y * ((x * z) * u)),x,x) = T(x,y * (z * (x \ u))). [hyper(272,a,6350,a(flip),b,12127,a),flip(a)]. 12129 L(T(x \ y,x * (y * (y * (x \ y)))),x \ y,x \ y) = T(x \ y,x / ((y * x) \ 1)). [para(2956(a,1),12122(a,1,1,2,2))]. 12130 L(T(x,(y * ((1 / (x * z)) \ y)) * z),x,x) = L(x,y * (x * z),y * (x * z)). [hyper(272,a,3796,a(flip),b,12123,a),flip(a)]. 12131 L(T(x,y * ((1 / (x * z)) \ (y * z))),x,x) = L(x,y * (x * z),y * (x * z)). [para(11475(a,1),12130(a,1,1))]. 12132 L(T(x,y * ((x * z) * (y * z))),x,x) = L(x,y * (x * z),y * (x * z)). [para(8518(a,1),12131(a,1,1))]. 12133 L(x,y * (x * z),y * (x * z)) = T(x,y * (z * (x \ (y * z)))). [hyper(58,a,12128,a(flip),b,12132,a),flip(a)]. 12134 L(T(x \ y,y * (y * y)),x \ y,x \ y) = T(x \ y,x / ((y * x) \ 1)). [para(5073(a,1),12129(a,1,1,2))]. 12136 L(T(x \ y,y \ 1),x \ y,x \ y) = T(x \ y,x / ((y * x) \ 1)). [para(7737(a,1),12134(a,1,1))]. 12137 L((x \ T(y,x)) \ 1,y \ x,y \ x) = T(y \ x,y / ((x * y) \ 1)). [para(4595(a,1),12136(a,1,1))]. 12138 L(x,y * ((z / u) * w),y * ((z / u) * w)) = L(x,y * ((u \ z) * w),y * ((u \ z) * w)). [para(100(a,1),11628(a,1,3,2,1)),flip(a)]. 12139 T(x,(y * (z * z)) * (u * K(y * (z * z),w))) = T(x,T(u * T((y * z) * z,w),y)). [hyper(11230,a,11819,a),flip(a)]. 12140 T(x,T(y * T((z * u) * u,w),z)) = T(x,T(z * (u * u),w) * y). [hyper(10930,a,12139,a),flip(a)]. 12142 T(x,(y * ((z \ u) * (z \ u))) * L(w,z \ u,z \ u)) = T(x,(y * w) * (u * (z \ (u / z)))). [para(2952(a,1),11843(a,1,2,2))]. 12143 T(x,(y * ((z \ u) * (z \ u))) * w) = T(x,(y * w) * (u * (z \ (u / z)))). [hyper(58,a,8461,a(flip),b,12142,a)]. 12145 T(x,(y * z) * (u * (w \ (u / w)))) = T(x,y * (z * ((w \ u) * (w \ u)))). [hyper(58,a,11857,a(flip),b,12143,a),flip(a)]. 12146 T(x,(y * z) * (u * (w \ (u / w)))) = T(x,y * (z * (u * (w \ (u / w))))). [hyper(272,a,8916,a(flip),b,12145,a),flip(a)]. 12147 T(x,(y * (z * z)) * ((z \ 1) * (u \ ((z \ 1) / u)))) = T(x,y * (T(z,z \ 1) * (u \ ((z \ 1) / u)))). [para(4523(a,1),12146(a,2,2,2))]. 12148 K(a(x,y,z),T(u,w) \ 1) * T(T(a(x,y,z),u),v5) = T(T(a(x,y,z),T(v5,u \ 1)),K(u \ 1,w)). [para(4490(a,1),11053(a,1,1))]. 12149 L(x,(y * (z * u)) \ (z * y),(y * (z * u)) \ (z * y)) = L(x,L(u,z,y),L(u,z,y)). [para(13(a,2),11709(a,2,3))]. 12150 T(x,L(T(y,y \ z),u,w) * (T(v5,L(T(y,z),u,w)) * z)) = T(x,v5 * (z / (1 / L(y,u,w)))). [para(6885(a,1),11865(a,1,2,2,1))]. 12151 T(x,L(T(y,y \ z),u,w) * (T(v5,T(y,z)) * z)) = T(x,v5 * (z / (1 / L(y,u,w)))). [hyper(58,a,11495,a(flip),b,12150,a)]. 12153 T(x,L(T(y,y \ z),u,w) * (T(v5,y) * z)) = T(x,v5 * (z / (1 / L(y,u,w)))). [hyper(58,a,11351,a(flip),b,12151,a)]. 12155 a(x,y,K(z,T(u,w))) * T(T(a(x,y,z),u),v5) = T(T(a(x,y,z),T(v5,u \ 1)),K(u \ 1,w)). [para(10289(a,1),12148(a,1,1))]. 12156 a(x,y,K(z,T(u,w))) = a(x,y,K(z,u)). [hyper(30,a,11067,a(flip),b,12155,a),flip(a)]. 12157 a(x,y,K(z,L(T(u,w),v5,v6))) = a(x,y,K(z,L(u,v5,v6))). [para(20(a,2),12156(a,1,3,2))]. 12158 a(x,y,K(z,u / w)) = a(x,y,K(z,w \ u)). [para(100(a,1),12156(a,1,3,2)),flip(a)]. 12162 a(x,y,K(z,(u \ w) * v5)) = a(x,y,K(z,w * (v5 / u))). [para(11997(a,1),12156(a,1,3))]. 12163 a(x,y,K(z,u \ (w * v5))) = a(x,y,K(z,(v5 / u) * w)). [para(12011(a,1),12156(a,1,3))]. 12164 a(x,L((y / z) / u,u,z),K(w,v5)) = a(v5,x,K(w,(u * z) \ y)). [hyper(58,a,10649,a,b,12158,a)]. 12166 a(x,y,K(z / u,w)) = a(x,y,K(w,u \ z)). [para(28(a,1),12158(a,1,3))]. 12167 a(x,y,K(z,(u * w) \ ((u * v5) * w))) = a(x,y,K(z,R(T(v5,u),u,w))). [para(5808(a,1),12158(a,1,3)),flip(a)]. 12168 a(x,y,K(z,(z * u) \ w)) = a(x,y,K(z,z \ (w / u))). [para(8077(a,1),12158(a,1,3)),flip(a)]. 12169 a(x,y,K(z,y \ (u * u))) = 1. [hyper(58,a,10694,a(flip),b,12166,a),flip(a)]. 12170 a(x,y * y,K(z,u)) = 1. [hyper(58,a,10657,a(flip),b,12169,a)]. 12171 (x * (y * (y * K(z,u)))) * 1 = (x * (y * y)) * K(z,u). [para(12170(a,1),5675(a,1,2))]. 12172 a(x,y,K(z,(z * u) \ w)) = a(y,w / u,K(z,x)). [hyper(272,a,10643,a(flip),b,12168,a),flip(a)]. 12173 a(x,y,K(z,(z * u) \ w)) = a(y,w / u,K(x,z)). [para(28(a,1),12172(a,2,3))]. 12174 a(x,y,K(z,z \ (u \ w))) = a(y,w / u,K(x,z)). [para(8051(a,1),12173(a,1,3))]. 12175 a(x,y / z,K(u,w)) = a(x,z \ y,K(w,u)). [hyper(58,a,10643,a(flip),b,12174,a),flip(a)]. 12176 a(x,y / z,K(u,w)) = a(x,z \ y,K(u,w)). [para(28(a,1),12175(a,1,3))]. 12177 a(x,(y * z) \ z,K(u,w)) = a(x,z \ (z / y),K(u,w)). [para(3305(a,1),12176(a,1,2)),flip(a)]. 12178 (x * (y * y)) * K(z,u) = x * (y * (y * K(z,u))). [hyper(120,a,12171,a),flip(a)]. 12180 x * ((y \ z) * ((y \ z) * K(x,u))) = (z / y) * ((z / y) * T(x,u)). [hyper(58,a,7534,a(flip),b,12178,a),flip(a)]. 12181 (x * (y * (y * K(z,u)))) / (y * (y * K(z,u))) = L(x,y * y,K(z,u)). [para(12178(a,1),10705(a,1,1))]. 12182 a(x,(y * z) \ z,K(u,w)) = a(w,x,K(y,u)). [hyper(272,a,10678,a(flip),b,12177,a),flip(a)]. 12184 (x / y) * ((x / y) * T(z,u)) = (y \ x) * ((y \ x) * T(z,u)). [hyper(58,a,5009,a(flip),b,12180,a),flip(a)]. 12185 T(x,(y \ z) * ((y \ z) * T(u,z))) = T(x,(z * u) * (y \ (z / y))). [para(12184(a,1),11964(a,1,2))]. 12186 T(x,(y * z) * (u \ (y / u))) = T(x,y * (z * (u \ (y / u)))). [hyper(58,a,12020,a(flip),b,12185,a),flip(a)]. 12187 T(x,y * (T(z,u \ (y / u)) * (u \ (y / u)))) = T(x,((u \ (y / u)) * y) * z). [hyper(58,a,12016,a(flip),b,12186,a),flip(a)]. 12188 T(x,(1 / y) * (T(z,y \ 1) * (u \ ((1 / y) / u)))) = T(x,(z * (1 / y)) * (u \ ((1 / y) / u))). [para(1966(a,1),12186(a,1,2,1)),flip(a)]. 12189 T(x,((y * (1 / z)) \ 1) * (u \ ((y \ 1) / u))) = T(x,(y \ 1) * (T(z,y) * (u \ ((y \ 1) / u)))). [para(4154(a,2),12186(a,1,2,1))]. 12190 a(x,y,K(z,(u * w) \ ((u * v5) * w))) = a(x,y,K(z,L(T(v5,u),u,w))). [para(10604(a,1),12167(a,2,3))]. 12191 L(x,y * y,K(z,u)) = x. [hyper(279,a,12181,a),flip(a)]. 12192 x / a(y,z,u * u) = a(y,z,u * u) \ x. [hyper(10720,a,12191,a),flip(a)]. 12194 T(T(x,y * y),K(z,u)) = T(x,y * (y * K(z,u))). [hyper(58,a,11059,a(flip),b,12191,a)]. 12195 T(x,L(y * y,z,u)) = L(x,y,y). [hyper(58,a,10733,a(flip),b,12191,a)]. 12196 x / a(y,z,u * u) != w | a(y,z,u * u) \ x = w. [para(12191(a,1),10720(a,1))]. 12198 L(x * x,y,z) * L(u,x,x) = u * L(x * x,y,z). [hyper(114,a,12195,a(flip),b,17,a(flip))]. 12199 R(x * x,y,z) \ L(u,x,x) = u * (R(x * x,y,z) \ 1). [para(12195(a,1),10617(a,1,2))]. 12201 T(x,y * (y * K(z,u))) = T(L(x,y,y),K(z,u)). [para(2952(a,1),12194(a,1,1)),flip(a)]. 12202 T(x,y * (y * K(z,u))) = L(T(x,K(z,u)),y,y). [hyper(272,a,20,a,b,12201,a),flip(a)]. 12203 L(T(x,K(y,z)),y,y) = T(x,y * T(y,z)). [para(2674(a,2),12202(a,1,2,2)),flip(a)]. 12204 L(T(x,y * T(y,z)),y,y) = T(x,K(y,z)). [hyper(2973,a,12203,a)]. 12205 T(x,y \ (y \ K(y,z))) = T(x,y * T(y,z)). [hyper(58,a,11250,a,b,12203,a)]. 12206 L(T(T(x,y * T(y,z)) \ 1,u),y,y) = T(T(x,K(y,z)) \ 1,u). [para(12204(a,1),3803(a,2,1,1))]. 12207 T(x,y \ (T(y,z) \ 1)) = T(x,y * T(y,z)). [hyper(58,a,9626,a,b,12205,a)]. 12208 T(x,y \ T(y \ 1,z)) = T(x,y * T(y,z)). [hyper(58,a,8654,a,b,12207,a)]. 12209 T(x,(y * (z * y)) \ z) = T(x,y * T(y,z)). [hyper(58,a,5071,a,b,12207,a)]. 12210 T(x,y * T(y,z)) * (y \ (T(y,z) \ 1)) = (y \ (T(y,z) \ 1)) * x. [para(12207(a,1),2778(a,1,1))]. 12211 L(x,y,(T(z,u * T(u,w)) \ 1) * (u \ T(1 / u,w))) = L(x,y,(u \ T(1 / u,w)) / z). [para(12207(a,1),9016(a,1,3,1,1))]. 12212 T(x,y \ (z \ (y / z))) = T(x,z * T(z,y)). [hyper(58,a,6507,a(flip),b,12208,a)]. 12213 (x * T(x,y)) * T(z,x * T(x,y)) = z / (x \ (T(x,y) \ 1)). [para(12209(a,1),6843(a,1,2))]. 12214 x / (y \ (T(y,z) \ 1)) = x * (y * T(y,z)). [hyper(248,a,12213,a),flip(a)]. 12215 x * (y \ (T(y,z) \ 1)) = x / (y * T(y,z)). [hyper(277,a,12214,a)]. 12216 x / ((1 / y) * T(1 / y,z)) = x * (T(1 / y,z) \ y). [para(1018(a,1),12215(a,1,2)),flip(a)]. 12217 L(x,y,(z / u) / T(u,w)) = L(x,y,z / (u * T(u,w))). [para(12215(a,1),8970(a,1,3)),flip(a)]. 12218 x / (y \ T(1 / y,z)) = x * (T(1 / y,z) \ y). [para(6697(a,1),12216(a,1,2))]. 12219 (x \ (1 * (T(1 / y,z) \ y))) \ 1 = T(y \ 1,z) * (y \ ((x \ 1) \ 1)). [para(12218(a,1),7284(a,1,1,2))]. 12220 T(((x \ 1) \ 1) * (T(1 / y,z) \ y),x \ 1) = 1 / (x \ (y \ T(1 / y,z))). [para(12218(a,1),10103(a,1,1))]. 12221 L(x,y,z * (u \ T(u \ 1,w))) = L(x,y,z / (u * T(u,w))). [hyper(58,a,9065,a,b,12217,a)]. 12222 L(x,y,(z \ a(u,w,w)) / (v5 * T(v5,v6))) = L(x,y,z \ (v5 \ T(v5 \ 1,v6))). [hyper(58,a,9085,a(flip),b,12221,a),flip(a)]. 12223 (x \ (T(x,y) \ 1)) * z = (x * T(x,y)) \ z. [hyper(4109,a,12210,a),flip(a)]. 12224 (x \ (T(x,y) \ 1)) \ z = (x * T(x,y)) * z. [hyper(112,a,4,a(flip),b,12223,a)]. 12225 K(x,y) * ((x * x) \ z) = (x * T(x,y)) \ z. [hyper(58,a,8821,a,b,12223,a)]. 12226 (x \ (y \ (x \ y))) \ z = (x * T(x,y)) * z. [para(2999(a,1),12224(a,1,1,2))]. 12227 (1 / x) * (T(x,y) \ z) = (x * T(x,y)) \ z. [hyper(10876,a,12225,a)]. 12228 T(x,y) \ ((x \ 1) * z) = (x * T(x,y)) \ z. [hyper(4275,a,12225,a)]. 12229 L(x,y,(z * T(z,u)) \ w) = L(x,y,z \ (T(z,u) \ w)). [para(12227(a,1),8939(a,1,3))]. 12230 (x * T(x,y)) \ ((x \ 1) \ z) = T(x,y) \ z. [para(5(a,1),12228(a,1,2)),flip(a)]. 12231 ((x / y) \ ((y \ 1) \ x)) * ((x / y) * z) = (T(1 / y,x) \ y) * ((T(y,x) \ x) * z). [para(12230(a,1),7793(a,1,2,1)),flip(a)]. 12232 a(x,y,K(z,(u * w) \ ((u * v5) * w))) = a(x,y,K(z,L(v5,u,w))). [hyper(272,a,12157,a(flip),b,12190,a),flip(a)]. 12234 a(x,y,K(z,(u / (w * u)) * (w * v5))) = a(x,y,K(z,L(v5,w,u))). [hyper(58,a,12163,a(flip),b,12232,a)]. 12235 a(x,y,K(z,L(u,w,v5))) = a(x,y,K(z,w \ (w * u))). [para(8607(a,1),12234(a,1,3)),flip(a)]. 12236 a(x,y,K(z,L(u,w,v5))) = a(x,y,K(z,u)). [para(4(a,1),12235(a,2,3,2))]. 12239 a(L(x,y,z),u,K(w,v5)) = a(u,w,K(v5,x)). [hyper(58,a,10682,a,b,12236,a)]. 12240 a(x,L(y,z,u),K(w,v5)) = a(v5,x,K(y,w)). [hyper(58,a,10656,a,b,12236,a)]. 12241 a(x,y,K(z,(u * w) \ v5)) = a(x,y,K(z,w \ (u \ v5))). [para(254(a,1),12236(a,1,3,2))]. 12242 T(a(x,y,z),L(u,w,v5)) = a(x,y,K(z,u)) * a(x,y,z). [para(12236(a,1),10285(a,1,1)),flip(a)]. 12245 a(L(x,y,z),u,K(w,v5)) = a(u,w,K(x,v5)). [para(28(a,1),12239(a,2,3))]. 12247 a(x,y,K((z / u) / w,v5)) = a(x,y,K(v5,(w * u) \ z)). [hyper(58,a,12164,a(flip),b,12240,a),flip(a)]. 12248 a(x,a(y,z,u) \ y,K(w,v5)) = a(v5,x,K(y \ 1,w)). [hyper(58,a,10845,a(flip),b,12240,a)]. 12249 L(1 / L(x,y,z),K(u,w),v5) \ 1 = a(v5,u,K(x,w)) * L(x,y,z). [para(12245(a,1),7955(a,2,1))]. 12251 a(x,a(y,z,u) \ y,K(w,v5)) = a(v5,x,K(w,y)). [hyper(272,a,9389,a(flip),b,12248,a),flip(a)]. 12252 a(x,a(y,z,u) \ y,K(w,v5)) = a(v5,x,K(y,w)). [para(28(a,1),12251(a,2,3))]. 12253 T(a(x,y,z),L(u,w,v5)) = T(a(x,y,z),u). [hyper(272,a,10285,a(flip),b,12242,a),flip(a)]. 12255 T(a(x,y,z),u * (w * K(v5,v6))) = T(a(x,y,z),u * w). [hyper(58,a,11407,a,b,12253,a)]. 12256 ((L(x,y,z) / T(a(x \ 1,z,y),x)) * u) * a(x \ 1,z,y) = x * (u * a(x \ 1,z,y)). [para(12253(a,1),8316(a,1,1,1,2))]. 12258 a(x,y,K(z,(u * w) \ v5)) = a(x,y,K(z,u \ (v5 / w))). [hyper(58,a,12166,a(flip),b,12247,a),flip(a)]. 12260 T(a(x,y,z),u * K(w,v5)) = T(a(x,y,z),u). [para(2881(a,1),12255(a,1,2)),flip(a)]. 12261 T(a(x,y,z),u * (w / T(u,v5))) = T(a(x,y,z),w). [hyper(11048,a,12260,a)]. 12262 a(x,y,K(z,u \ (w \ v5))) = a(x,y,K(z,w \ (v5 / u))). [hyper(58,a,12241,a(flip),b,12258,a)]. 12263 L(1 / L(x,y,z),u,K(w,v5)) \ 1 = a(w,v5,K(x,u)) * L(x,y,z). [para(10745(a,1),12249(a,1,1))]. 12264 (1 / L(L(x,y,z),u,K(w,v5))) \ 1 = a(w,v5,K(x,u)) * L(x,y,z). [para(10774(a,1),12263(a,1,1))]. 12265 a(x,y,K(z,u)) * L(z,w,v5) = L(L(z,w,v5),u,K(x,y)). [hyper(290,a,12264,a),flip(a)]. 12267 L(x,y,K(z,u)) \ L(x,w,v5) = x \ L(L(x,w,v5),y,K(z,u)). [hyper(112,a,12265,a(flip),b,10723,a),flip(a)]. 12268 x \ L(L(x,y,z),u,K(z,y)) = T(x \ L(x,y,z),u). [hyper(58,a,11294,a(flip),b,12267,a),flip(a)]. 12269 T(x \ L(x,y,z),u) = x \ L(x,y,T(z,u)). [para(10741(a,1),12268(a,1,2)),flip(a)]. 12270 (1 / x) \ L(1 / x,y,T(z,u)) = T(a(x,z,y),u). [para(1180(a,2),12269(a,1,1)),flip(a)]. 12271 a(x,T(y,z),u) = T(a(x,y,u),z). [hyper(1209,a,12270,a)]. 12272 T(a(x,y,z),u) != w | a(x,T(y,u),z) = w. [para(12270(a,1),1209(a,1))]. 12273 (a(x,y,z) \ u) \ u = a(x,T(y,u),z). [hyper(272,a,10826,a,b,12271,a)]. 12275 x * a(y,T(z,x),u) = a(y,z,u) * x. [hyper(114,a,12271,a,b,17,a(flip))]. 12279 T(x \ 1,y) * (x \ ((z \ 1) \ 1)) = (z \ (T(1 / x,y) \ x)) \ 1. [para(2(a,1),12219(a,1,1,2)),flip(a)]. 12280 (x \ (T(1 / y,x) \ y)) \ 1 = y \ (1 / (y / x)). [hyper(7286,a,12279,a),flip(a)]. 12281 ((x \ (y \ T(1 / y,z))) \ (y \ T(1 / y,z))) * (y \ T(1 / y,z)) = (x \ (T(1 / y,z) \ y)) \ 1. [hyper(58,a,10138,a,b,12279,a)]. 12283 L(x,y,z \ ((u * T(u,w)) \ 1)) = L(x,y,z \ (u \ T(u \ 1,w))). [hyper(58,a,9089,a(flip),b,12222,a)]. 12284 L(x,y,z \ (u \ T(u \ 1,w))) = L(x,y,z \ (u \ (T(u,w) \ 1))). [para(4048(a,1),12283(a,1,3,2)),flip(a)]. 12285 T(x,((y \ (z / y)) * z) * u) = T(x,z * ((y \ (z / y)) * u)). [para(2778(a,1),12187(a,1,2,2)),flip(a)]. 12286 T(x,(y * ((z \ y) / z)) * u) = T(x,y * ((z \ (y / z)) * u)). [para(6721(a,1),12285(a,1,2,1))]. 12287 T(x,(y * (z \ (y / z))) * u) = T(x,y * ((z \ (y / z)) * u)). [hyper(58,a,8678,a(flip),b,12286,a)]. 12288 T(x,(y \ (z * (y \ z))) * u) = T(x,z * ((y \ (z / y)) * u)). [hyper(58,a,9580,a,b,12287,a)]. 12289 T(x,(y * T(y,z)) * (z \ (z \ u))) = T(x,y * ((z \ (y / z)) * u)). [hyper(58,a,11994,a,b,12288,a)]. 12290 T(x,y * (T(y,z) * (z \ (z \ u)))) = T(x,y * ((z \ (y / z)) * u)). [hyper(58,a,8543,a(flip),b,12289,a)]. 12291 T(x,y * (z \ (y * (z \ u)))) = T(x,y * ((z \ (y / z)) * u)). [hyper(58,a,11975,a(flip),b,12290,a)]. 12292 (T(1 / x,y) \ x) * (1 / (z \ 1)) = 1 / (z \ (x \ T(1 / x,y))). [hyper(3343,a,12220,a)]. 12293 1 / (x \ (y \ T(1 / y,z))) = (T(1 / y,z) \ y) * x. [para(72(a,1),12292(a,1,2)),flip(a)]. 12295 (T(1 / x,y) \ x) * z = x * (T(x \ 1,y) \ z). [hyper(58,a,10105,a(flip),b,12293,a),flip(a)]. 12296 ((x / y) \ ((y \ 1) \ x)) * ((x / y) * z) = y * (T(y \ 1,x) \ ((T(y,x) \ x) * z)). [hyper(272,a,12295,a(flip),b,12231,a),flip(a)]. 12297 ((x / y) \ ((y \ 1) \ x)) * ((x / y) * z) = y * ((x * (z * y)) / y). [para(9556(a,1),12296(a,2,2))]. 12298 (x * T(x,y)) * ((y / x) * z) = x * ((y * (z * x)) / x). [para(6972(a,1),12297(a,1,1))]. 12299 L(x,y,T(z,u * T(u,w)) \ (u \ T(1 / u,w))) = L(x,y,(u \ T(1 / u,w)) / z). [hyper(58,a,8989,a(flip),b,12211,a)]. 12300 L(x,y,T(z,u * T(u,w)) \ (u \ T(u \ 1,w))) = L(x,y,(u \ T(1 / u,w)) / z). [hyper(58,a,9152,a(flip),b,12299,a)]. 12301 L(x,y,T(z,u * T(u,w)) \ (u \ (T(u,w) \ 1))) = L(x,y,(u \ T(1 / u,w)) / z). [hyper(58,a,12284,a(flip),b,12300,a)]. 12302 L(x,y,(z \ T(1 / z,u)) / w) = L(x,y,(z * T(z,u)) \ (w \ 1)). [para(4357(a,1),12301(a,1,3)),flip(a)]. 12303 L(x,y,(z \ T(1 / z,u)) / w) = L(x,y,z \ (T(z,u) \ (w \ 1))). [hyper(272,a,12229,a(flip),b,12302,a),flip(a)]. 12304 L(x,y,z \ (T(z,T(u,w) \ 1) \ (u \ 1))) = L(x,y,((w \ (z \ w)) * (1 / u)) / T(z,w)). [hyper(58,a,10123,a(flip),b,12303,a),flip(a)]. 12305 ((L(x,y,z) / a(x \ 1,z,y)) * u) * a(x \ 1,z,y) = x * (u * a(x \ 1,z,y)). [para(2513(a,1),12256(a,1,1,1,2))]. 12307 (x * y) * a(x \ 1,z,u) = x * (y * a(x \ 1,z,u)). [para(1196(a,1),12305(a,1,1,1))]. 12308 T(L(x,y,z) * u,a(x \ 1,z,y)) = x * (u * a(x \ 1,z,y)). [hyper(58,a,10833,a,b,12307,a)]. 12309 L(L(x,y,z) * u,y,K(x \ 1,z)) = x * (u * a(x \ 1,z,y)). [hyper(58,a,10711,a,b,12308,a)]. 12310 L(L(x,y,z) * u,y,K(z,x \ 1)) = x * (u * a(x \ 1,z,y)). [para(28(a,1),12309(a,1,3))]. 12311 L(L(x,y,z) * u,y,K(x,z)) = x * (u * a(x \ 1,z,y)). [hyper(58,a,8944,a(flip),b,12310,a)]. 12312 x * ((x \ y) * a(x \ 1,z,u)) = y * (x \ L(x,u,z)). [hyper(58,a,11078,a(flip),b,12311,a),flip(a)]. 12313 (x * L(y,z,u)) / y = x * (y \ L(y,z,u)). [hyper(58,a,10322,a(flip),b,12312,a)]. 12314 (x / y) * L(y,z,u) = x * (y \ L(y,z,u)). [hyper(1386,a,12313,a)]. 12315 (x * y) * (x \ L(x,z,u)) = x * (y * (x \ L(x,z,u))). [hyper(58,a,1145,a(flip),b,12313,a),flip(a)]. 12316 (x * y) * (y \ L(y,z,u)) = x * L(y,z,u). [para(6(a,1),12314(a,1,1)),flip(a)]. 12317 ((x * y) * z) \ (x * (y * z)) = z \ L(z,y,x). [hyper(112,a,87,a(flip),b,12316,a)]. 12318 a(x,y,z) \ 1 = z \ L(z,y,x). [hyper(58,a,10830,a(flip),b,12317,a)]. 12319 L(x,y,z) * a(z,y,x) = x. [hyper(10828,a,12318,a)]. 12320 a(x \ 1,y,z) = a(y,z,x) \ 1. [hyper(272,a,1181,a,b,12318,a)]. 12321 (x * a(y,z,u)) \ x = u \ L(u,z,y). [hyper(58,a,10816,a,b,12318,a)]. 12322 a(x,y,z) = L(z,y,x) \ z. [hyper(34,a,4423,a,b,12318,a),flip(a)]. 12324 (x \ L(x,y,z)) * u = a(z,y,x) \ u. [para(12318(a,1),10812(a,1,1))]. 12325 (x \ L(x,y,z)) \ u = a(z,y,x) * u. [para(12318(a,1),10813(a,1,1))]. 12326 x * (y \ L(y,z,u)) = x / a(u,z,y). [para(12318(a,1),10818(a,1,2))]. 12327 L(x,y,z) = x / a(z,y,x). [hyper(122,a,12319,a),flip(a)]. 12330 L(x,y,z) \ x != u | a(z,y,x) = u. [para(12319(a,1),287(a,1,2))]. 12331 a(x,y,z) = z / L(z,y,x). [hyper(272,a,2497,a,b,12322,a),flip(a)]. 12332 a(x,y,z) = z * (L(z,y,x) \ 1). [hyper(272,a,683,a,b,12322,a),flip(a)]. 12333 L(x,y,T(z,u)) \ x = a(z,y,T(x,u)). [hyper(272,a,10783,a(flip),b,12322,a)]. 12334 a(x / y,z,u) \ 1 = a(z,u,y / x). [hyper(272,a,10414,a(flip),b,12322,a)]. 12335 a(x \ y,z,u) \ 1 = a(z,u,y \ x). [hyper(272,a,10402,a(flip),b,12322,a)]. 12337 a(x,y,z) * L(z,y,x) = z. [para(12322(a,2),2493(a,1,1))]. 12338 L(x,y,z) = a(z,y,x) \ x. [para(12322(a,2),2498(a,1,1)),flip(a)]. 12339 a(x \ 1,y,z) = 1 / a(y,z,x). [para(12322(a,2),2535(a,1,2)),flip(a)]. 12340 a(x \ 1,y,z) \ z = z * a(y,z,x). [para(12322(a,2),7833(a,2,2))]. 12342 (x * a(y,z,u)) \ x = a(u \ 1,y,z). [para(12322(a,2),10793(a,1,1,2))]. 12343 x / a(y \ 1,z,u) = x * a(z,u,y). [para(12322(a,2),10794(a,2,2))]. 12344 x * (L(x,y,z) \ u) = a(z,y,x) * u. [para(12322(a,2),10800(a,1,1)),flip(a)]. 12345 x \ (a(y,z,x) * u) = L(x,z,y) \ u. [para(12322(a,2),10802(a,1,2,1))]. 12346 L(x,y,z) * (x \ u) = a(z,y,x) \ u. [para(12322(a,2),10806(a,1,1)),flip(a)]. 12347 L(x,y,z) \ (x * u) = a(z,y,x) * u. [para(12322(a,2),10808(a,2,1))]. 12348 a(x,y,z) * (L(z,y,x) * u) = z * u. [para(12322(a,2),10809(a,1,1))]. 12349 a(x \ (y \ 1),z,u) \ w = a(z,u,y * x) * w. [para(12322(a,2),10805(a,1,1)),flip(a)]. 12351 a(x,y,z) \ z != u | L(z,y,x) = u. [para(12331(a,2),290(a,1,1))]. 12353 (T(a(x,y,z),z) / z) \ z = T(z * L(z,y,x),z). [para(12338(a,2),3773(a,1,1,2)),flip(a)]. 12354 (x / a(y,z,x)) * ((x \ a(y,z,x)) \ 1) = (a(y,z,x) / x) \ L(x,z,y). [para(12338(a,2),5850(a,2,2))]. 12355 (x / a(y,z,x)) / (x \ a(y,z,x)) = (a(y,z,x) / x) \ L(x,z,y). [para(12338(a,2),5912(a,2,2))]. 12356 a(x,y,z) \ L(a(x,y,z),u,w) = a(a(z \ 1,x,y),w,u). [para(12320(a,2),1181(a,1,1)),flip(a)]. 12358 a(x \ 1,y,z) * u = a(y,z,x) \ u. [para(12320(a,2),10812(a,1,1))]. 12359 a(x \ 1,y,z) \ u = a(y,z,x) * u. [para(12320(a,2),10813(a,1,1))]. 12360 x * a(y \ 1,z,u) = x / a(z,u,y). [para(12320(a,2),10818(a,1,2))]. 12362 x / a(y \ 1,z,u) != w | x * a(z,u,y) = w. [para(12320(a,2),10829(a,1,2))]. 12364 a(x,y,z \ 1) \ u = a(z,x,y) * u. [para(2503(a,2),12324(a,1,1)),flip(a)]. 12366 a(x,y,z) \ (L(z,y,x) \ u) = z \ u. [hyper(112,a,8322,a(flip),b,12325,a(flip))]. 12367 a(x,y,z \ 1) * u = a(z,x,y) \ u. [para(2503(a,2),12325(a,1,1)),flip(a)]. 12368 a(x,y,z) * (z \ u) != w | L(z,y,x) \ u = w. [para(12325(a,1),8323(a,1))]. 12369 (x * y) / a(z,u,y) = x * L(y,u,z). [hyper(58,a,12316,a(flip),b,12326,a),flip(a)]. 12370 x * a(y \ (z \ 1),u,w) = x / a(u,w,z * y). [para(10448(a,1),12326(a,1,2))]. 12371 a(T(x,y),z,u) = a(x,z,T(u,y)). [hyper(12330,a,12333,a)]. 12372 a(x,y,T(z,u)) \ z = L(z,y,T(x,u)). [para(12333(a,1),2498(a,1,1))]. 12373 a(x,T(y,z),u) = a(x,y,T(u,z)). [hyper(58,a,11095,a(flip),b,12371,a)]. 12374 a(x,y,T(z,x)) = a(x,y,z). [para(97(a,1),12371(a,1,1)),flip(a)]. 12375 a(x / y,z,T(u,y)) = a(y \ x,z,u). [para(100(a,1),12371(a,1,1)),flip(a)]. 12377 a(x,y,x / z) = a(x,y,z \ x). [hyper(58,a,10020,a(flip),b,12374,a),flip(a)]. 12378 a(x,y,z * x) = a(x,y,x * z). [hyper(58,a,9278,a(flip),b,12374,a)]. 12379 a(x,y,T(z,y * u)) = a(x,T(y,u),z). [hyper(9022,a,12373,a),flip(a)]. 12380 (a(x,y,z) \ u) \ u = a(x,y,T(z,u)). [hyper(58,a,12273,a,b,12373,a)]. 12381 a(x,y,T(z,u)) = T(a(x,y,z),u). [hyper(58,a,12271,a(flip),b,12373,a),flip(a)]. 12382 a(x,y,T(z,x * u)) = a(x,T(y,u),z). [hyper(58,a,11101,a(flip),b,12373,a),flip(a)]. 12383 a(x,y * z,T(u,z)) = a(x,z * y,u). [hyper(58,a,9035,a(flip),b,12373,a),flip(a)]. 12385 x * a(y,z,T(u,x)) = a(y,z,u) * x. [para(12373(a,1),12275(a,1,2))]. 12386 a(x \ 1,y,(x \ 1) / (x / z)) = a(x \ 1,y,x \ (x \ z)). [para(4356(a,1),12377(a,2,3))]. 12387 a(x,y,T(z,K(u,w))) = a(x,y,z). [hyper(272,a,10989,a(flip),b,12381,a),flip(a)]. 12388 a(x,y,T(z,K(u,w))) != v5 | a(x,y,z) = v5. [para(12381(a,2),11015(a,1))]. 12389 a(x,y,T(z,u * w)) = a(x,y,T(z,w * u)). [para(6034(a,1),12387(a,1,3))]. 12390 a(x \ 1,y / z,u) = a(u,x,z / y). [hyper(58,a,12320,a,b,12334,a)]. 12391 a(x \ 1,y \ z,u) = a(u,x,z \ y). [hyper(58,a,12320,a,b,12335,a)]. 12392 x \ L(x,y,z \ u) = a(y,x,u \ z). [hyper(58,a,12318,a(flip),b,12335,a)]. 12393 x * a(y,x,z \ u) = L(x,y,u \ z). [hyper(114,a,12335,a(flip),b,12318,a(flip))]. 12394 a(x,y,z \ 1) = a(z,x,y) \ 1. [para(60(a,1),12335(a,1,1,1)),flip(a)]. 12395 a(x \ 1,y,z) = a(z,x,y \ 1). [hyper(272,a,12320,a,b,12394,a)]. 12396 a(x,y,z \ 1) = y \ L(y,x,z). [hyper(272,a,12318,a(flip),b,12394,a),flip(a)]. 12397 L(x,y,z) = x * a(y,x,z \ 1). [hyper(114,a,12394,a,b,12318,a(flip)),flip(a)]. 12399 a(x \ (y \ 1),z,u) = a(u,y * x,z \ 1). [hyper(58,a,10440,a(flip),b,12395,a)]. 12400 a(x,y \ z,u \ 1) = a(z \ y,u,x). [hyper(58,a,10386,a(flip),b,12395,a),flip(a)]. 12401 a(x,y \ 1,z \ 1) = a(y,z,x). [hyper(58,a,2512,a(flip),b,12395,a),flip(a)]. 12402 L(x,y,z \ 1) = x * a(y,x,z). [hyper(114,a,2600,a(flip),b,12396,a(flip)),flip(a)]. 12403 a(x,y,z \ 1) != u | a(y \ 1,z,x) = u. [para(12396(a,2),1199(a,1))]. 12404 x \ L(x,y,z) != u | a(y,x,z \ 1) = u. [para(12397(a,2),287(a,1,2))]. 12405 x \ L(x,y,z \ 1) != u | a(y,x,z) = u. [para(12402(a,2),287(a,1,2))]. 12407 a(x,y,z) * T(u,L(z,y,x)) = z * (u * (L(z,y,x) \ 1)). [hyper(2980,a,12344,a),flip(a)]. 12408 a(x,y,z) \ (z * u) = L(z,y,x) * u. [hyper(802,a,12344,a)]. 12409 L(L(x,y,z) \ u,x,x) = (1 / x) * (a(z,y,x) * u). [hyper(114,a,12344,a(flip),b,2970,a),flip(a)]. 12410 a(x,y,z) * (u * L(z,y,x)) = z * T(u,L(z,y,x)). [para(17(a,2),12344(a,1,2)),flip(a)]. 12411 x * (L(x,y,z) \ (x * T(u,L(x,y,z)))) = u * (a(z,y,x) * x). [para(12344(a,1),6943(a,2,2))]. 12413 L(x,y,z) / (x \ (a(z,y,x) * 1)) = (1 / L(x,y,z)) \ L(x,y,z). [para(12345(a,2),2914(a,1,2))]. 12414 (L(x,y,z) * u) / T(x,u) = a(z,y,x) \ u. [hyper(58,a,8324,a,b,12346,a)]. 12415 (L(x,y,z) * u) / x = a(z,y,x) \ T(u,x). [hyper(58,a,8325,a(flip),b,12346,a)]. 12416 x * (a(y,z,x) \ u) = L(x,z,y) * u. [hyper(114,a,12346,a(flip),b,1271,a)]. 12417 a(x,y,z * u) \ (z * (u * w)) = L(z * u,y,x) * L(w,u,z). [para(13(a,2),12346(a,1,2)),flip(a)]. 12418 a(x,y,z) \ ((u / z) \ z) = L(z,y,x) * ((z \ u) \ 1). [para(3000(a,1),12346(a,1,2)),flip(a)]. 12419 (L(x,y,z) * u) / x = T(a(z,y,x) \ u,x). [para(12346(a,1),2819(a,1,1)),flip(a)]. 12420 a(x,y,z) * (z * u) = z * (a(x,y,z) * u). [hyper(114,a,12347,a(flip),b,12345,a),flip(a)]. 12421 a(x,y,z) * u != z * w | L(z,y,x) * w = u. [para(12348(a,1),38(a,1)),flip(a)]. 12422 (a(x,y,z) \ (L(z,y,x) * u)) \ (z * u) = a(x,y,z) * a(x,y,z). [para(12348(a,1),3010(a,1,2))]. 12424 a(x,y,z) * (z \ u) != w * v5 | w \ (L(z,y,x) \ u) = v5. [para(12366(a,1),341(a,1,2))]. 12425 (x / L(y,z,u)) * y = x * a(u,z,y). [hyper(277,a,12369,a),flip(a)]. 12426 (x * L(y,z,u)) \ (x * y) = a(u,z,y). [hyper(172,a,12369,a)]. 12427 (x * L(y,z,u)) * a(u,z,y) = x * y. [hyper(125,a,12369,a)]. 12428 (x * L(y,z,u)) \ (x * y) != w | a(u,z,y) = w. [para(12369(a,1),290(a,1,1))]. 12429 a(x,y / T(x,z),T(u,z)) \ u = L(u,T(x,z) \ y,T(x,z)). [hyper(272,a,9009,a(flip),b,12372,a),flip(a)]. 12430 a(x / y,z,y \ u) = a(y \ x,z,u / y). [para(100(a,1),12375(a,1,3))]. 12431 a(x,y,T(z,y * u)) = a(x,y,T(z,u)). [hyper(272,a,12373,a(flip),b,12379,a),flip(a)]. 12432 x / a(y,z,T(u,x)) = a(y,z,u) \ x. [hyper(178,a,12380,a)]. 12433 a(x,y,T(z,x * u)) = a(x,y,T(z,u)). [hyper(272,a,12373,a(flip),b,12382,a),flip(a)]. 12434 ((x * y) * a(x,z,T(u,x * y))) / T(x * a(x,z,u),y) = L(y,x,a(x,z,u)). [para(12385(a,2),8264(a,1,1))]. 12435 a(x,y \ 1,z / u) = a(y,u / z,x). [hyper(58,a,2512,a(flip),b,12390,a),flip(a)]. 12436 a(x,y,z \ u) != w | y \ L(y,x,u \ z) = w. [para(12391(a,1),1187(a,1))]. 12438 a(x,y,z \ (u \ 1)) = y \ L(y,x,u * z). [para(8940(a,1),12392(a,1,2)),flip(a)]. 12439 x \ L(x,y,(z \ u) * w) = a(y,x,w \ (u \ z)). [para(9093(a,1),12392(a,1,2))]. 12440 a(x,y,(x \ z) \ x) = y \ R(y,z \ 1,x). [para(10451(a,1),12392(a,1,2)),flip(a)]. 12442 a(x,y,z) \ (L(z,u,w) * v5) = L(z,y,x) * (a(w,u,z) \ v5). [hyper(112,a,12416,a(flip),b,12348,a)]. 12443 x * (a(y,z,T(x,u)) \ w) = L(x,z,T(y,u)) * w. [para(12371(a,1),12416(a,1,2,1))]. 12444 x * (a(y,z,T(x,u)) \ w) = L(x,T(z,u),y) * w. [para(12373(a,1),12416(a,1,2,1))]. 12445 x * (x * (y / L(x * x,z,u))) = y * a(u,z,x * x). [hyper(3013,a,12425,a)]. 12447 ((x * y) * L(L(z,y,x),u,w)) \ (x * (y * z)) = a(w,u,L(z,y,x)). [para(87(a,1),12426(a,1,2))]. 12448 L(a(x,y,z),u * L(z,y,x),w) = (w * (u * L(z,y,x))) \ (w * (u * z)). [para(12426(a,1),89(a,1,1))]. 12449 ((x \ a(x,x,y)) * L(y,z,u)) * a(u,z,y) = x \ y. [hyper(272,a,5671,a(flip),b,12427,a),flip(a)]. 12450 ((x / L(y,z,u)) \ L(y,z,u)) * a(u,z,y) = ((L(y,z,u) \ 1) \ (x \ 1)) * y. [para(4670(a,1),12427(a,1,1))]. 12451 a(x,y,z) * (a(x,y,z) * (u * L(z,y,x))) = (u * z) * a(x,y,z). [para(12427(a,1),10825(a,1,1)),flip(a)]. 12452 a(x * x,y,T(z,u)) = a(x * x,y,z). [hyper(31,a,10789,a,b,12432,a),flip(a)]. 12453 a(x \ 1,y,z) != u | a(z,x,y \ 1) = u. [para(1181(a,2),12404(a,1))]. 12454 a(x \ y,z,u) != w | a(u,y \ x,z \ 1) = w. [para(10400(a,1),12404(a,1))]. 12456 a(x,y,T(z,u * y)) = a(x,y,T(z,u)). [hyper(272,a,12431,a(flip),b,12389,a),flip(a)]. 12457 a(x,K(y,z \ 1) * u,T(w,z * (T(1 / z,y) \ u))) = a(x,K(y,z \ 1) * u,T(w,z * z)). [para(5172(a,1),12456(a,1,3,2))]. 12458 T(a(x,y,z) \ u,z) = a(x,y,z) \ T(u,z). [hyper(58,a,12415,a(flip),b,12419,a),flip(a)]. 12459 a(x,y,(z * u) \ 1) = a(x,y,u \ (z \ 1)). [hyper(272,a,12396,a,b,12438,a)]. 12460 a(x,y,z) \ T(z * u,z) = T(L(z,y,x) * u,z). [para(12408(a,1),12458(a,1,1)),flip(a)]. 12461 x / a(y,z,u) != w | x * a(z,u,y \ 1) = w. [para(2512(a,1),12362(a,1,2))]. 12462 a(x,y,y) * (x \ z) != u | L(x,y,y) \ z = u. [para(4244(a,2),12368(a,1,1))]. 12463 L(x \ 1,y,y) != z | L(x,y,y) \ 1 = z. [para(1177(a,1),12462(a,1))]. 12464 T(x * L(x,y,z),x) = (a(z,y,x) / x) \ x. [para(7829(a,1),12353(a,1,1,1)),flip(a)]. 12467 L(x,T(y,z),u) = L(x,y,T(u,z)). [hyper(30,a,12443,a(flip),b,12444,a(flip)),flip(a)]. 12468 L(x,T(y,z) \ 1,u) = L(x,y \ 1,T(u,z)). [hyper(10478,a,12467,a)]. 12469 L(x,y * (z / y),u) = L(x,z,T(u,y)). [hyper(9260,a,12467,a)]. 12470 R(x,(y \ z) \ 1,T(z,u)) = L(x,z,T(y \ (z \ 1),u)). [hyper(58,a,10483,a,b,12467,a)]. 12471 L(x,y \ z,T(u,z)) = L(x,z / y,u). [hyper(58,a,9990,a(flip),b,12467,a),flip(a)]. 12473 L(x,y / z,T(u,z)) = L(x,z \ y,u). [para(100(a,1),12467(a,1,2)),flip(a)]. 12477 L(x,y / z,u * u) = L(x,z \ y,u * u). [hyper(58,a,9000,a(flip),b,12471,a),flip(a)]. 12478 L(x,y \ z,T(u,z) \ 1) = L(x,z / y,u \ 1). [hyper(58,a,8972,a(flip),b,12471,a)]. 12481 L(x,y \ (z \ 1),T(u,z)) = L(x,z \ (y \ 1),u). [hyper(10481,a,12473,a)]. 12482 L(x,y / z,z * u) = L(x,z \ y,u * z). [hyper(58,a,8987,a(flip),b,12473,a)]. 12483 L(x,y / z,z \ u) = L(x,z \ y,u / z). [para(100(a,1),12473(a,1,3))]. 12485 L(x,((K(y,z) * u) * w) \ 1,T(v5,K(y,z))) = L(x,(u * (w * K(y,z))) \ 1,v5). [para(6403(a,1),12468(a,1,2,1)),flip(a)]. 12486 R(x,(1 / y) \ y,((1 / y) \ y) \ z) = L(x,y \ ((y * z) \ 1),y * y). [hyper(58,a,9506,a,b,12477,a)]. 12487 L(x,y * (z \ 1),z * u) = L(x,z \ y,u * z). [hyper(58,a,9197,a,b,12482,a)]. 12488 R(x,(y \ (y \ z)) \ 1,z / y) = L(x,y \ z,(z \ y) / y). [hyper(58,a,10544,a,b,12483,a)]. 12489 L(x,y \ z,(y / u) / y) = L(x,z / y,u \ 1). [hyper(58,a,9098,a(flip),b,12483,a),flip(a)]. 12490 a(x,y,z) \ ((a(u,w,z) / z) \ z) = T(L(z,y,x) * L(z,w,u),z). [para(12464(a,1),12460(a,1,2))]. 12491 L(x,y \ z,z \ (u \ z)) = L(x,z / y,u \ 1). [para(2999(a,1),12478(a,1,3))]. 12492 L(x,y \ z,y \ (u \ y)) = L(x,z / y,u \ 1). [hyper(58,a,9063,a(flip),b,12489,a)]. 12493 a(x \ (y \ x),x \ z,u) = L(u,z / x,y \ 1) \ u. [para(12492(a,1),12322(a,2,1))]. 12496 (x \ L(y,z,u)) * a(u,z,y) = x \ y. [para(10329(a,1),12449(a,1,1))]. 12498 x * (y * (x \ L(x,z,u))) = (x * y) / a(u,z,x). [hyper(58,a,12326,a(flip),b,12315,a),flip(a)]. 12499 (x * y) / a(z,u,x) = x * (y / a(z,u,x)). [para(12326(a,1),12498(a,1,2)),flip(a)]. 12500 x * (y / a(z \ 1,u,x)) = (x * y) * a(u,x,z). [hyper(12362,a,12499,a),flip(a)]. 12501 a(x,y,z) * (((z * u) / a(x,y,z)) * a(x,y,z)) = ((1 / a(x,y,z)) \ z) * u. [para(12499(a,2),108(a,1,2,1))]. 12502 (x * y) * a(z,x,u) = x * (y * a(z,x,u)). [para(12343(a,1),12500(a,1,2)),flip(a)]. 12503 L(a(x,y,z),u,y) = a(x,y,z). [hyper(2469,a,12502,a)]. 12504 (x * y) / a(z,x,u) = x * (y / a(z,x,u)). [para(12503(a,1),471(a,1,2))]. 12505 a(x,y,z) \ (y * ((u * a(x,y,z)) / a(x,y,z))) = (y / a(x,y,z)) * L(u,a(x,y,z),a(x,y,z)). [para(12504(a,1),10824(a,1,2))]. 12506 R(x,(y \ z) \ 1,T(z,u)) = L(x,z,T(z * y,u) \ 1). [hyper(272,a,9137,a(flip),b,12470,a),flip(a)]. 12507 a(x \ (y \ x),x \ z,u) = a(y \ 1,z / x,u). [hyper(272,a,12322,a,b,12493,a),flip(a)]. 12508 a(x \ (y \ x),x \ z,u) = a(u,y,x / z). [hyper(272,a,12390,a(flip),b,12507,a),flip(a)]. 12509 a(T(x,y) \ 1,x \ z,u) = a(u,T(x,y),x / z). [para(691(a,1),12508(a,1,1))]. 12510 a(x,T(y,z),y / u) = a(x,T(y,z),u \ y). [hyper(58,a,12391,a(flip),b,12509,a),flip(a)]. 12511 a(x,T(y,z),y / u) = a(x,y,T(u \ y,z)). [hyper(272,a,12373,a(flip),b,12510,a),flip(a)]. 12512 L(x,y,T(y * z,u) \ 1) = R(x,y \ z,T(y,u)). [hyper(58,a,10385,a(flip),b,12506,a),flip(a)]. 12515 a(x \ 1,y,((z / x) \ x) \ 1) = a(x \ 1,y,x \ (x \ z)). [para(4923(a,1),12386(a,1,3))]. 12516 R(x,(y \ (y \ z)) \ 1,z / y) = L(x,y \ z,(y * z) \ y). [para(3308(a,1),12488(a,2,3))]. 12517 a(x \ 1,y,x \ (z / x)) = a(x \ 1,y,x \ (x \ z)). [hyper(58,a,10016,a(flip),b,12515,a)]. 12518 R(x,(y \ (y \ z)) \ 1,z / y) = L(x,y \ z,z \ 1). [hyper(272,a,9092,a(flip),b,12516,a),flip(a)]. 12520 R(x,(y * y) * (z \ 1),z / y) = L(x,y \ z,z \ 1). [para(4416(a,1),12518(a,1,2))]. 12521 R(x,(y * y) / z,z / y) = L(x,y \ z,z \ 1). [hyper(58,a,9352,a(flip),b,12520,a)]. 12522 x * (a(y,z,x) * T(u,L(x,z,y))) = u * (a(y,z,x) * x). [para(12347(a,1),12411(a,1,2))]. 12523 x * (x * (y * (L(x,z,u) \ 1))) = y * (a(u,z,x) * x). [para(12407(a,1),12522(a,1,2))]. 12524 x * (x * (y * (L(x,z,u) \ 1))) = y * (x * a(u,z,x)). [para(7830(a,1),12523(a,2,2))]. 12525 L(x,y,z) / (x \ a(z,y,x)) = (a(z,y,x) / x) \ L(x,y,z). [para(12327(a,2),12355(a,1,1))]. 12526 (1 / L(x,y,z)) \ L(x,y,z) = L(x,y,z) / (x \ a(z,y,x)). [para(3(a,1),12413(a,1,2,2)),flip(a)]. 12527 (a(x,y,z) / z) \ L(z,y,x) = (1 / L(z,y,x)) \ L(z,y,x). [hyper(272,a,12525,a(flip),b,12526,a)]. 12528 (L(x,y,z) * (a(z,y,x) \ u)) \ (x * u) = a(z,y,x) * a(z,y,x). [para(12442(a,1),12422(a,1,1))]. 12529 (x * (y * L(z,u,w))) \ (x * (y * z)) = a(w,u,L(z,y,x)). [para(361(a,1),12447(a,1,1))]. 12530 a(x,y,z) * (z * T(u,L(z,y,x))) = (u * z) * a(x,y,z). [para(12410(a,1),12451(a,1,2))]. 12531 x * (a(y,z,x) * T(u,L(x,z,y))) = (u * x) * a(y,z,x). [hyper(58,a,12420,a(flip),b,12530,a)]. 12532 x * (x * (y * (L(x,z,u) \ 1))) = (y * x) * a(u,z,x). [para(12407(a,1),12531(a,1,2))]. 12533 (x * y) * a(z,u,y) = x * (y * a(z,u,y)). [hyper(58,a,12524,a(flip),b,12532,a),flip(a)]. 12534 L(a(x,y,z),z,u) = a(x,y,z). [hyper(429,a,12533,a)]. 12535 L(x,y,z) * ((x \ a(z,y,x)) \ 1) = (a(z,y,x) / x) \ L(x,y,z). [para(12327(a,2),12354(a,1,1))]. 12536 L(a(x,y,z),u * L(z,y,x),w) = a(x,y,L(z,u,w)). [hyper(272,a,12529,a(flip),b,12448,a),flip(a)]. 12537 a(x,y,L(z,u,y)) = a(x,y,z). [hyper(58,a,12503,a(flip),b,12536,a),flip(a)]. 12538 L(a(x,y,z),L(z,y,x) * ((u * L(z,y,x)) \ 1),w) = a(x,y,L(z,u \ (1 / L(z,y,x)),w)). [para(4620(a,1),12536(a,1,2))]. 12539 R(x,(1 / y) \ y,((1 / y) \ y) \ z) = L(x,y \ (z \ (y \ 1)),y * y). [hyper(272,a,10023,a(flip),b,12486,a),flip(a)]. 12540 R(x,(1 / y) \ y,(y \ 1) * (y \ z)) = L(x,y \ (z \ (y \ 1)),y * y). [para(3821(a,1),12539(a,1,3))]. 12541 R(x,(1 / y) \ y,y \ (y \ z)) = L(x,y \ (z \ (y \ 1)),y * y). [hyper(58,a,8768,a(flip),b,12540,a)]. 12542 ((x * y) * a(x,z,T(u,y))) / T(x * a(x,z,u),y) = L(y,x,a(x,z,u)). [para(12433(a,1),12434(a,1,1,2))]. 12543 ((L(x,y,z) \ 1) \ (u \ 1)) * x = (u / L(x,y,z)) \ x. [hyper(58,a,12496,a(flip),b,12450,a),flip(a)]. 12545 L(x,((K(y,z) * u) * w) \ 1,T(v5,K(y,z))) = L(x,(w * K(y,z)) \ (u \ 1),v5). [hyper(272,a,10063,a(flip),b,12485,a),flip(a)]. 12546 ((1 / a(x,y,z)) \ z) * u = a(x,y,z) * (z * u). [para(7(a,1),12501(a,1,2)),flip(a)]. 12547 ((1 / a(x,y,z)) \ z) * u = z * (a(x,y,z) * u). [hyper(272,a,12420,a(flip),b,12546,a),flip(a)]. 12549 (a(x \ 1,y,z) \ x) * u = x * (a(y,z,x) * u). [para(12339(a,2),12547(a,1,1,1))]. 12550 (a(x,y,z) * z) * u = z * (a(x,y,z) * u). [para(12359(a,1),12549(a,1,1))]. 12551 (x * a(y,z,x)) * u = x * (a(y,z,x) * u). [para(7830(a,1),12550(a,1,1))]. 12552 L(x,a(y,z,u),u) = x. [hyper(429,a,12551,a)]. 12553 (x * a(y \ 1,z,x)) * u = x * (a(x,y,z \ 1) * u). [para(12395(a,1),12551(a,2,2,1))]. 12554 x * (a(x,y,z \ 1) * u) = (x / a(z,x,y)) * u. [para(12360(a,1),12553(a,1,1)),flip(a)]. 12555 x * (a(x,y,z \ 1) * u) = (a(z,x,y) \ x) * u. [para(10815(a,1),12554(a,2,1))]. 12556 (a(x \ 1,y,z) \ y) * u = y * (a(y,z,x) * u). [para(2600(a,1),12555(a,1,2,1)),flip(a)]. 12557 (a(x,y,z) \ y) * u = y * (a(x,y,z) \ u). [para(12367(a,1),12555(a,1,2)),flip(a)]. 12558 (a(x,y,z) * x) * u = x * (a(x,y,z) * u). [para(12359(a,1),12556(a,1,1))]. 12559 (x * a(x,y,z)) * u = x * (a(x,y,z) * u). [para(1189(a,1),12558(a,1,1))]. 12560 (x * a(x,y,z)) * u != x * (a(x,y,z) * w) | w = u. [para(12559(a,1),38(a,1)),flip(a)]. 12561 L(x,((K(y,z) * u) * w) \ 1,T(v5,K(y,z))) = L(x,K(y,z) * (w \ (u \ 1)),v5). [hyper(272,a,11694,a(flip),b,12545,a),flip(a)]. 12562 L(x,((K(y,z) * u) * w) \ 1,T(v5,K(y,z))) = L(x,K(y,z) / (u * w),v5). [hyper(272,a,10030,a(flip),b,12561,a),flip(a)]. 12563 L(x,((K(y,z) * u) * w) \ 1,T(v5,K(y,z))) = L(x,(u * w) \ K(y,z),v5). [hyper(272,a,11672,a(flip),b,12562,a),flip(a)]. 12564 L(x,((K(y,z) * u) * w) \ 1,v5) = L(x,(u * w) \ K(y,z),v5). [hyper(11013,a,12563,a)]. 12565 L(x,y \ ((K(z,u) * w) \ 1),v5) = L(x,(w * y) \ K(z,u),v5). [hyper(10494,a,12564,a)]. 12567 L(x,(y * z) \ K(u,w),v5) = L(x,z \ (y \ K(u,w)),v5). [para(5610(a,1),12565(a,1,2,2)),flip(a)]. 12570 L(x,y,z \ (T(z,T(u,w)) \ (u \ 1))) = L(x,y,((w \ (z \ w)) * (1 / u)) / T(z,w)). [hyper(58,a,9162,a(flip),b,12304,a)]. 12571 T(x,(1 / y) * (T(z,y \ 1) * (u \ ((1 / y) / u)))) = T(x,(z * (1 / y)) / ((u * y) * u)). [hyper(272,a,9802,a(flip),b,12188,a),flip(a)]. 12572 T(x,(1 / y) * (T(z,y \ 1) * (u \ ((1 / y) / u)))) = T(x,(z * (1 / y)) / (u * (y * u))). [hyper(272,a,9480,a(flip),b,12571,a),flip(a)]. 12573 T(x,(1 / y) * (T(z,y \ 1) * (u \ ((1 / y) / u)))) = T(x,(z / y) / (u * (y * u))). [hyper(272,a,8597,a(flip),b,12572,a),flip(a)]. 12574 T(x,(1 / y) * (T(z,y \ 1) / ((u * y) * u))) = T(x,(z / y) / (u * (y * u))). [hyper(58,a,9874,a(flip),b,12573,a)]. 12575 T(x,(1 / y) * (T(z,y \ 1) / (u * (y * u)))) = T(x,(z / y) / (u * (y * u))). [hyper(58,a,8840,a(flip),b,12574,a)]. 12576 T(x,(1 / y) * (T(z,y) / (u * (y * u)))) = T(x,(z / y) / (u * (y * u))). [hyper(58,a,8716,a(flip),b,12575,a)]. 12577 T(x,y \ (T(z,y) / (u * (y * u)))) = T(x,(z / y) / (u * (y * u))). [hyper(6105,a,12576,a)]. 12578 T(x,(y / z) / (u * (z * u))) = T(x,y / ((u * (z * u)) * z)). [hyper(58,a,12041,a(flip),b,12577,a),flip(a)]. 12579 T(x,(y / z) / (u * (z * u))) = T(x,y / (z * ((u * z) * u))). [para(6707(a,1),12578(a,2,2,2))]. 12580 T(x,(y / z) / (u * (z * u))) = T(x,y / (z * (u * (z * u)))). [hyper(272,a,9828,a(flip),b,12579,a),flip(a)]. 12581 T(x,(y \ 1) * (T(z,y) * (u \ ((y \ 1) / u)))) = T(x,((y * (1 / z)) \ 1) / ((u * y) * u)). [hyper(58,a,9749,a(flip),b,12189,a),flip(a)]. 12582 T(x,(y \ 1) * (T(z,y) * (u \ ((y \ 1) / u)))) = T(x,((y * (1 / z)) \ 1) / (u * (y * u))). [hyper(272,a,9480,a(flip),b,12581,a),flip(a)]. 12583 T(x,(y \ 1) * (T(z,y) * (u \ ((y \ 1) / u)))) = T(x,(y * (1 / z)) \ ((u * (y * u)) \ 1)). [hyper(272,a,6021,a(flip),b,12582,a),flip(a)]. 12584 T(x,(y \ 1) * (T(z,y) * (u \ ((y \ 1) / u)))) = T(x,(y * (1 / z)) \ ((y * u) \ (u \ 1))). [hyper(272,a,9681,a(flip),b,12583,a),flip(a)]. 12585 T(x,(y \ 1) * (T(z,y) * (u \ ((y \ 1) / u)))) = T(x,(y * (1 / z)) \ (u \ (y \ (u \ 1)))). [hyper(272,a,9760,a(flip),b,12584,a),flip(a)]. 12586 T(x,(y \ 1) * (T(z,y) * (u \ ((y \ 1) / u)))) = T(x,(z / y) * (u \ (y \ (u \ 1)))). [hyper(272,a,8584,a(flip),b,12585,a),flip(a)]. 12587 T(x,(y \ 1) * (T(z,y) * (u \ ((y \ 1) / u)))) = T(x,(z / y) / ((u * y) * u)). [hyper(272,a,9801,a(flip),b,12586,a),flip(a)]. 12588 T(x,(y \ 1) * (T(z,y) * (u \ ((y \ 1) / u)))) = T(x,(z / y) / (u * (y * u))). [hyper(272,a,9480,a(flip),b,12587,a),flip(a)]. 12589 a(x,K(y,z \ 1) * u,T(w,z * (T(z / 1,y) * u))) = a(x,K(y,z \ 1) * u,T(w,z * z)). [para(9882(a,1),12457(a,1,3))]. 12590 a(x,K(y,z \ 1) * u,T(w,z * (T(z,y) * u))) = a(x,K(y,z \ 1) * u,T(w,z * z)). [para(70(a,1),12589(a,1,3,2,2,1,1))]. 12591 (x / a(y,x,z)) * L(u,a(y,x,z),a(y,x,z)) = a(y,x,z) \ (x * u). [para(6(a,1),12505(a,1,2,2)),flip(a)]. 12592 (a(x,y,z) \ y) * L(u,a(x,y,z),a(x,y,z)) = a(x,y,z) \ (y * u). [para(10815(a,1),12591(a,1,1))]. 12593 a(x,y,z) \ (y * u) = (a(x,y,z) \ y) * u. [para(10817(a,1),12592(a,1,2)),flip(a)]. 12594 a(x,y,z) \ (y * u) = y * (a(x,y,z) \ u). [hyper(272,a,12557,a(flip),b,12593,a),flip(a)]. 12595 L(x,(y \ 1) \ (z \ 1),((y \ 1) \ (z \ 1)) \ (((z \ 1) \ y) * (1 / y))) = L(x,(y \ 1) \ z,y \ 1). [para(4907(a,1),10453(a,1,3,2))]. 12596 K(x,T(((y \ 1) / z) \ u,z \ 1)) = K(x,((y \ 1) * (u / (y \ 1))) / ((y \ (y / z)) * (y \ 1))). [para(4467(a,1),10691(a,1,2))]. 12597 K(x,T(((y \ 1) / z) \ u,z)) = K(x,((y \ 1) * (u / (y \ 1))) / ((y \ (y / z)) * (y \ 1))). [hyper(58,a,5971,a(flip),b,12596,a)]. 12599 K(x,T((y / (z \ 1)) * u,y)) = K(x,((z \ 1) * (u / (z \ 1))) / ((z \ (z / y)) * (z \ 1))). [hyper(8703,a,12597,a)]. 12600 K(x,T((y * (1 \ z)) * u,y)) = K(x,((z \ 1) * (u / (z \ 1))) / ((z \ (z / y)) * (z \ 1))). [hyper(9812,a,12599,a)]. 12601 K(x,T((y * z) * u,y)) = K(x,((z \ 1) * (u / (z \ 1))) / ((z \ (z / y)) * (z \ 1))). [para(60(a,1),12600(a,1,2,1,1,2))]. 12602 K(x,T((y * z) * u,y)) = K(x,(z * (u * (1 / z))) / ((z \ (z / y)) * (z \ 1))). [para(4535(a,1),12601(a,2,2,1))]. 12603 K(x,T((y * z) * u,y)) = K(x,(z * (u * (1 / z))) / (z \ ((z / y) / z))). [para(684(a,1),12602(a,2,2,2))]. 12604 K(x,T((y * z) * u,y)) = K(x,(z * (u * (1 / z))) * (((z / y) / z) \ z)). [hyper(272,a,8625,a(flip),b,12603,a),flip(a)]. 12605 K(x,T((y * z) * u,y)) = K(x,(z * (u * (1 / z))) * (z / (y \ 1))). [para(3515(a,1),12604(a,2,2,2))]. 12606 K(x,T((y * z) * u,y)) = K(x,(z * (u * (1 / z))) * (z * y)). [hyper(272,a,8532,a(flip),b,12605,a),flip(a)]. 12607 K(x,T((y * z) * u,y)) = K(x,T(u,z) * (z * y)). [hyper(272,a,8646,a(flip),b,12606,a),flip(a)]. 12608 K(x,T((y * z) * u,y)) = K(x,z * (u * y)). [hyper(272,a,11899,a(flip),b,12607,a),flip(a)]. 12609 K(x,y * (y * (z * (u / y)))) = K(x,z * (u * y)). [hyper(58,a,9494,a,b,12608,a)]. 12610 L(x,y,K(z,(u * w) * v5)) = L(x,y,K(z,w * (v5 * u))). [para(12609(a,1),11205(a,1,3)),flip(a)]. 12611 L(x,y,K(z,(u * w) * (v5 \ 1))) = L(x,y,K(z,w * (v5 \ u))). [para(9665(a,1),12610(a,2,3))]. 12612 L(x,y,K(z,(u * w) / v5)) = L(x,y,K(z,w * (v5 \ u))). [para(5973(a,1),12611(a,1,3))]. 12613 L(x,y,K(z,u \ (w * v5))) = L(x,y,K(z,v5 * (u \ w))). [hyper(58,a,11196,a(flip),b,12612,a)]. 12614 L(L(x,y,z),y,K(z,u * (w \ v5))) = L(x,y,T(z,w \ (v5 * u))). [hyper(10735,a,12613,a),flip(a)]. 12615 L(x,y,T(z,u \ (w * v5))) != v6 | L(x,y,T(z,v5 * (u \ w))) = v6. [para(12614(a,1),10735(a,1))]. 12616 T(x * (a(y,z,K(u,w)) * v5),a(y,z,K(u,w))) = ((1 / a(y,z,K(u,w))) \ x) * v5. [hyper(291,a,11031,a)]. 12617 ((1 / a(x,y,K(z,u))) \ w) * v5 = w * (a(x,y,K(z,u)) * v5). [hyper(10983,a,12616,a),flip(a)]. 12619 ((a(x,y,K(z,u)) * 1) \ w) * v5 = w * (a(x,y,K(z,u)) * v5). [para(10982(a,1),12617(a,1,1,1))]. 12620 (a(x,y,K(z,u)) \ w) * v5 = w * (a(x,y,K(z,u)) * v5). [para(3(a,1),12619(a,1,1,1))]. 12621 (a(x,y,K(z,u)) * w) * v5 = w * (a(x,y,K(z,u)) * v5). [para(7950(a,1),12620(a,1,1))]. 12622 (x * a(y,z,K(u,w))) * v5 = x * (a(y,z,K(u,w)) * v5). [para(10973(a,1),12621(a,1,1))]. 12623 x \ (y * a(z,u,K(w,v5))) = (x \ y) * a(z,u,K(w,v5)). [hyper(30,a,6480,a,b,12622,a)]. 12624 (a(x,y,K(z,u)) * w) \ v5 = (w \ v5) * a(x,y,K(z,u)). [hyper(58,a,11137,a,b,12623,a)]. 12625 x \ (a(y,z,K(u,w)) * v5) = (x \ v5) * a(y,z,K(u,w)). [para(10973(a,2),12623(a,1,2))]. 12626 K(x,(a(y,z,K(u,w)) * v5) \ v6) = K(x,v5 \ v6). [para(12624(a,2),11414(a,1,2))]. 12627 K(x,(y * a(z,u,K(w,v5))) \ v6) = K(x,y \ v6). [para(10973(a,1),12626(a,1,2,1))]. 12628 K(x,((y * (z * K(u,w))) * K(w,u)) \ v5) = K(x,(y * z) \ v5). [para(3936(a,1),12627(a,1,2,1))]. 12629 x * ((x \ y) * a(z,u,K(w,v5))) = a(z,u,K(w,v5)) * y. [hyper(127,a,12625,a)]. 12630 a(x,y,K(z,u)) * (w * v5) = w * (v5 * a(x,y,K(z,u))). [para(4(a,1),12629(a,1,2,1)),flip(a)]. 12631 a(x,y,K(z,u)) * (w * x) = w * L(x,u,K(y,z)). [para(10707(a,1),12630(a,2,2))]. 12632 T(x,y * L(z,u,K(w,v5))) = T(x,y * z). [para(12631(a,1),11411(a,1,2))]. 12633 T(x,T(y,z) * L(z,u,K(w,v5))) = T(x,z * y). [hyper(272,a,5778,a(flip),b,12632,a),flip(a)]. 12634 T(x,(y * z) * R(u,y,z)) = T(x,y * (L(u,w,K(v5,v6)) * T(z,u))). [hyper(58,a,12024,a(flip),b,12632,a),flip(a)]. 12635 T(x,y * T(z,L(u,w,v5))) = T(x,y * T(z,u)). [para(10702(a,1),12632(a,1,2,2))]. 12636 T(x,L(y,z,K(u,w)) * v5) = T(x,y * v5). [para(10994(a,1),12633(a,1,2))]. 12637 T(x,L(y,z,T(u,w)) * v5) = T(x,L(y,z,u) * v5). [para(7022(a,1),12636(a,1,2,1))]. 12638 T(x,y * T((z * u) * w,z)) = T(x,y * ((T(z,u * w) * u) * w)). [hyper(58,a,10619,a(flip),b,12635,a),flip(a)]. 12640 K(x,K(y,z) * ((u * (w * K(y,z))) \ v5)) = K(x,(u * w) \ v5). [hyper(11044,a,12628,a)]. 12641 K(x,K(y,L(z,u,w)) * ((v5 * (w * (u * K(y,z)))) \ v6)) = K(x,(v5 * (w * u)) \ v6). [para(8235(a,1),12640(a,1,2,2,1,2))]. 12643 T(x,y * (L(z,u,K(w,v5)) * T(v6,z))) = T(x,y * (v6 * z)). [hyper(58,a,11816,a(flip),b,12634,a),flip(a)]. 12644 T(x,y * (z * L(u,w,K(v5,v6)))) = T(x,y * (z * u)). [para(10992(a,1),12643(a,1,2,2))]. 12646 T(x,y * T((z * u) * w,z)) = T(x,y * ((u * w) * R(z,u,w))). [para(2790(a,1),12638(a,2,2,2))]. 12647 K(x,K(y,z) * ((u * (w * (v5 * K(y,z)))) \ v6)) = K(x,(u * (w * v5)) \ v6). [hyper(11422,a,12641,a)]. 12649 K(x,K(y,T(z,u)) * ((w * (v5 * (K(y,z) * u))) \ v6)) = K(x,(w * (v5 * u)) \ v6). [para(5236(a,1),12647(a,1,2,2,1,2,2))]. 12650 K(x,K(y,z) * ((u * (w * (K(y,z) * v5))) \ v6)) = K(x,(u * (w * v5)) \ v6). [hyper(11348,a,12649,a)]. 12651 K(x,(y * (z * u)) \ ((y * z) * u)) = a(x,z,K(K(w,v5) * u,y)). [hyper(58,a,11646,a(flip),b,12650,a),flip(a)]. 12653 a(x,y,K(K(z,u) * w,v5)) = K(x,a(v5,y,w)). [para(9(a,2),12651(a,1,2)),flip(a)]. 12654 a(x,y,K(K(z,u) * w,v5)) = a(x,y,K(w,v5)). [hyper(272,a,10584,a,b,12653,a),flip(a)]. 12655 a(x,y,K(z,K(u,w) * v5)) = a(z,y,K(v5,x)). [hyper(58,a,10580,a(flip),b,12654,a)]. 12656 a(x,y,K(z,K(u,w) * v5)) = a(z,x,K(y,v5)). [hyper(272,a,10645,a(flip),b,12655,a),flip(a)]. 12657 a(x,y,K(z,u * K(w,v5))) = a(z,x,K(y,u)). [para(5225(a,1),12656(a,1,3,2))]. 12658 a(x,y,K(z,u * (w * T(v5,v6)))) = a(z,x,K(y,u * (w * v5))). [para(6276(a,1),12657(a,1,3,2))]. 12659 T(x,K(y,T(z,u)) * ((w * K(y,T(z,u))) \ (u \ v5))) = T(x,K(y,T(z,u)) * (w \ (u \ (K(y,z) * v5)))). [hyper(272,a,11516,a(flip),b,11836,a),flip(a)]. 12660 T(x,(y \ 1) * ((((1 / y) / z) * ((y / z) / y)) * u)) = T(x,((1 / y) / z) * (((1 / y) / z) * u)). [hyper(58,a,9930,a(flip),b,11943,a)]. 12661 T(x,((1 / y) / z) * (((1 / y) / z) * u)) = T(x,(y \ 1) * ((z \ (1 / (z * y))) * u)). [para(7467(a,1),12660(a,1,2,2,1)),flip(a)]. 12662 T(x,((1 / y) / z) * (((1 / y) / z) * u)) = T(x,(y \ 1) * (((z * y) * z) \ u)). [hyper(272,a,8843,a(flip),b,12661,a),flip(a)]. 12663 T(x,((1 / y) / z) * (((1 / y) / z) * u)) = T(x,(y \ 1) * ((z * (y * z)) \ u)). [hyper(272,a,8664,a(flip),b,12662,a),flip(a)]. 12664 T(x,((1 / y) / z) * (((1 / y) / z) * u)) = T(x,y \ ((z * (y * z)) \ u)). [hyper(272,a,6009,a(flip),b,12663,a),flip(a)]. 12665 T(x,y * (((1 / z) / u) * ((1 / z) / u))) = T(x,z \ ((u * (z * u)) \ y)). [para(2956(a,2),12664(a,1,2))]. 12666 T(x,y * ((z \ (1 / u)) * (z \ (1 / u)))) = T(x,u \ ((z * (u * z)) \ y)). [para(4115(a,1),12665(a,1,2,2))]. 12667 T(x,y * (z \ (u \ (1 / (u * z))))) = T(x,z \ ((u * (z * u)) \ y)). [para(7220(a,1),12666(a,1,2,2))]. 12668 T(x,y / (((z * u) * z) * u)) = T(x,u \ ((z * (u * z)) \ y)). [hyper(58,a,9731,a(flip),b,12667,a)]. 12669 T(x,y / (z * (u * (z * u)))) = T(x,z \ ((u * (z * u)) \ y)). [para(6710(a,1),12668(a,1,2,2))]. 12670 T(x,(y / z) / (u * (z * u))) = T(x,z \ ((u * (z * u)) \ y)). [hyper(58,a,12580,a,b,12669,a)]. 12671 T(x,y \ ((z * (y * z)) \ u)) != w | T(x,(y * z) \ ((y * z) \ u)) = w. [para(12669(a,1),9758(a,1))]. 12672 T(x,(y \ 1) * (T(z,y) * (u \ ((y \ 1) / u)))) = T(x,y \ ((u * (y * u)) \ z)). [hyper(58,a,12588,a,b,12670,a)]. 12673 T(x,(y \ 1) * (T(z,y) / ((u * y) * u))) = T(x,y \ ((u * (y * u)) \ z)). [hyper(58,a,10118,a(flip),b,12672,a)]. 12674 T(x,(y \ 1) * (T(z,y) / (u * (y * u)))) = T(x,y \ ((u * (y * u)) \ z)). [hyper(58,a,8840,a(flip),b,12673,a)]. 12675 T(x,(y \ 1) * (z \ (y \ (z \ u)))) = T(x,y \ ((z * (y * z)) \ u)). [hyper(58,a,9936,a(flip),b,12674,a)]. 12676 T(x,y \ ((z * (y * z)) \ u)) = T(x,y \ (z \ (y \ (z \ u)))). [hyper(6112,a,12675,a),flip(a)]. 12677 T(x,(y * z) \ ((y * z) \ u)) = T(x,y \ (z \ (y \ (z \ u)))). [hyper(12671,a,12676,a)]. 12678 T(x,y / (z * (u * (z * u)))) = T(x,z \ (u \ (z \ (u \ y)))). [hyper(58,a,12669,a,b,12676,a)]. 12679 (x \ T(1 / x,y)) / (1 / z) = (z \ (T(1 / x,y) \ x)) \ 1. [hyper(3553,a,12281,a)]. 12680 x * (((y * x) \ 1) * ((y / x) \ 1)) = (x \ (T(1 / y,x) \ y)) \ 1. [hyper(58,a,7513,a,b,12679,a)]. 12681 x * (((y * x) \ 1) * ((y / x) \ 1)) = y \ (1 / (y / x)). [hyper(272,a,12280,a(flip),b,12680,a),flip(a)]. 12682 x * (x * (y \ (1 / (y * x)))) = y \ (1 / (y / x)). [para(7509(a,1),12681(a,1,2))]. 12683 (x \ 1) * (x \ ((1 / x) * (y \ (1 / (y * (1 / x)))))) = x \ (y \ (1 / (y / (1 / x)))). [para(12682(a,1),1155(a,1,2)),flip(a)]. 12684 x * ((x * x) * ((y \ (1 / (y * x))) * x)) = (x * (y \ (1 / (y / x)))) * x. [para(12682(a,1),4703(a,1,1,2)),flip(a)]. 12685 x * ((x * x) * (y \ T(1 / y,x))) = (x * (y \ (1 / (y / x)))) * x. [para(4935(a,1),12684(a,1,2,2))]. 12686 x * (x * (x * (y \ T(1 / y,x)))) = (x * (y \ (1 / (y / x)))) * x. [para(10100(a,1),12685(a,1,2))]. 12687 (x * (y \ (1 / (y / x)))) * x = x * (x * (y \ (x / y))). [para(2300(a,1),12686(a,1,2,2)),flip(a)]. 12688 T(x * (y \ (1 / (y / x))),x) = x * (y \ (x / y)). [hyper(215,a,12687,a,b,xx)]. 12690 T(x * (y \ (1 / (y / x))),x) = ((y \ x) / y) * x. [hyper(272,a,6727,a,b,12688,a),flip(a)]. 12691 T(x * (y \ (1 / (y / x))),x) = ((x * x) * ((y \ x) / y)) / x. [hyper(272,a,3247,a,b,12690,a),flip(a)]. 12692 x * (x * (y \ (1 / (y / x)))) = (x * x) * ((y \ x) / y). [hyper(2807,a,12691,a)]. 12693 ((1 / x) * ((1 / x) * (y \ (1 / (y / (1 / x)))))) * x = x \ ((1 / x) * (((y \ (1 / x)) / y) * x)). [para(12692(a,2),664(a,1,1))]. 12694 (x \ 1) * (x \ ((1 / x) * (y \ (1 / (y * (1 / x)))))) = x \ (y \ ((x \ 1) * (1 / y))). [para(4173(a,1),12683(a,2,2,2))]. 12695 (x \ 1) * (x \ ((1 / x) * (y \ (1 / (y * (1 / x)))))) = x \ ((y \ (x \ 1)) / y). [para(3530(a,1),12694(a,2,2))]. 12696 (x \ 1) * (x \ ((1 / x) * (y \ (1 / (y * (1 / x)))))) = x \ ((x * y) \ (1 / y)). [para(4858(a,1),12695(a,2,2))]. 12697 (x \ 1) * (x \ ((1 / x) * (y \ ((x \ 1) \ (1 / y))))) = x \ ((x * y) \ (1 / y)). [para(4149(a,1),12696(a,1,2,2,2,2))]. 12698 (x \ 1) * (x \ ((1 / x) * ((x \ y) \ (1 / y)))) = x \ ((x * y) \ (1 / y)). [para(5100(a,1),12697(a,1,2,2,2))]. 12699 (x \ 1) * (x \ (x * ((y \ (1 / x)) / y))) = x \ ((x * y) \ (1 / y)). [para(10160(a,1),12698(a,1,2,2))]. 12700 (x \ 1) * ((y \ (1 / x)) / y) = x \ ((x * y) \ (1 / y)). [hyper(507,a,12699,a)]. 12702 ((1 / x) * ((1 / x) * (y \ ((x \ 1) * (1 / y))))) * x = x \ ((1 / x) * (((y \ (1 / x)) / y) * x)). [para(4173(a,1),12693(a,1,1,2,2,2))]. 12703 ((1 / x) * ((1 / x) * ((y \ (x \ 1)) / y))) * x = x \ ((1 / x) * (((y \ (1 / x)) / y) * x)). [para(3530(a,1),12702(a,1,1,2,2))]. 12704 ((1 / x) * ((1 / x) * ((x * y) \ (1 / y)))) * x = x \ ((1 / x) * (((y \ (1 / x)) / y) * x)). [para(4858(a,1),12703(a,1,1,2,2))]. 12705 L(x,(y \ 1) \ (z \ 1),((y \ 1) \ (z \ 1)) \ (y * (((y \ z) \ 1) \ 1))) = L(x,(y \ 1) \ z,y \ 1). [para(5930(a,1),12595(a,1,3,2))]. 12706 T(x,K(y,T(z,u)) * ((w * K(y,T(z,u))) \ (u \ v5))) = T(x,K(y,z) * (w \ (u \ (K(y,z) * v5)))). [hyper(272,a,11320,a(flip),b,12659,a),flip(a)]. 12708 T(x,K(y,T(z,u)) * ((K(y,T(z,u)) / w) * (u \ v5))) = T(x,K(y,z) * (w \ (u \ (K(y,z) * v5)))). [hyper(58,a,8516,a(flip),b,12706,a)]. 12709 T(x,K(y,z) * (u \ (w \ (K(y,z) * v5)))) = T(x,u \ (w \ v5)). [hyper(58,a,11523,a(flip),b,12708,a),flip(a)]. 12711 T(x,y \ (z \ (K(u,w) * v5))) = T(x,K(u,w) * (y \ (z \ v5))). [para(3893(a,1),12709(a,1,2,2,2,2)),flip(a)]. 12712 T(x,K(y,K(z,u)) * (w \ (v5 \ T(z,K(y,u))))) = T(x,w \ (v5 \ z)). [para(5521(a,1),12709(a,1,2,2,2,2))]. 12713 T(x,K(y,z) * (u \ (w \ (1 / v5)))) = T(x,u \ (w \ (K(y,z) / v5))). [para(5612(a,1),12709(a,1,2,2,2,2))]. 12714 T(x,y \ (z \ T(u,K(w,v5)))) = T(x,y \ (z \ u)). [hyper(58,a,11314,a(flip),b,12712,a)]. 12716 T(x,y \ (z \ (1 / (K(u,w) / v5)))) = T(x,y \ (z \ ((v5 \ K(u,w)) \ 1))). [para(3452(a,1),12714(a,1,2,2,2))]. 12717 T(x,y \ (z \ (1 / (K(u,w) / v5)))) = T(x,y \ (z \ ((K(u,w) \ v5) * 1))). [hyper(272,a,9761,a(flip),b,12716,a),flip(a)]. 12718 T(x,y \ (z \ (1 / (K(u,w) / v5)))) = T(x,y \ (z \ ((K(u,w) * v5) * 1))). [para(3901(a,1),12717(a,2,2,2,2,1))]. 12719 T(x,y \ (z \ (1 / (K(u,w) / v5)))) = T(x,y \ (z \ (K(u,w) * v5))). [para(3(a,1),12718(a,2,2,2,2))]. 12720 T(x,y \ (z \ (1 / (K(u,w) / v5)))) = T(x,K(u,w) * (y \ (z \ v5))). [hyper(272,a,12711,a(flip),b,12719,a),flip(a)]. 12721 T(x,y \ (z \ ((u \ 1) \ K(w,v5)))) = T(x,K(w,v5) * (y \ (z \ u))). [para(5641(a,1),12720(a,1,2,2,2))]. 12722 T(x,K(y,z) * (u \ (w \ (1 / v5)))) = T(x,u \ (w \ (v5 \ K(y,z)))). [para(74(a,1),12721(a,1,2,2,2,1)),flip(a)]. 12723 T(x,y \ (z \ (K(u,w) / v5))) = T(x,y \ (z \ (v5 \ K(u,w)))). [hyper(58,a,12713,a(flip),b,12722,a)]. 12724 T(x,(1 / y) \ (z \ (u \ K(w,v5)))) = T(x,y * (z \ (K(w,v5) / u))). [hyper(58,a,6022,a(flip),b,12723,a),flip(a)]. 12725 T(x,y * (z \ (K(u,w) / v5))) = T(x,y * (z \ (v5 \ K(u,w)))). [hyper(58,a,6022,a(flip),b,12724,a),flip(a)]. 12726 T(x,y * ((z * u) \ K(w,v5))) = T(x,y * (u \ (z \ K(w,v5)))). [hyper(11466,a,12725,a)]. 12727 T(x,y * (K(z,u) * ((w \ 1) / (1 / v5)))) = T(x,y * (w \ ((v5 \ 1) \ K(z,u)))). [hyper(58,a,11625,a,b,12726,a)]. 12728 T(x,y * (K(z,u) * ((w \ 1) / (1 / v5)))) = T(x,y * (w \ ((1 \ v5) * K(z,u)))). [hyper(272,a,9743,a(flip),b,12727,a),flip(a)]. 12729 T(x,y * (K(z,u) * ((w \ 1) / (1 / v5)))) = T(x,y * (w \ (v5 * K(z,u)))). [para(60(a,1),12728(a,2,2,2,2,1))]. 12730 T(x,y * (K(z,u) * ((w \ 1) / (1 / v5)))) = T(x,y * ((w \ K(z,u)) * v5)). [hyper(272,a,11960,a(flip),b,12729,a),flip(a)]. 12731 T(x,y * (K(z,u) * (((w \ 1) * v5) \ 1))) = T(x,y * ((v5 \ K(z,u)) * w)). [para(4150(a,1),12730(a,1,2,2,2))]. 12732 T(x,y * (K(z,u) / ((w \ 1) * v5))) = T(x,y * ((v5 \ K(z,u)) * w)). [hyper(58,a,8483,a(flip),b,12731,a)]. 12733 T(x,y * (K(z,u) * (w \ (1 \ v5)))) = T(x,y * ((w \ K(z,u)) * v5)). [hyper(58,a,9811,a(flip),b,12732,a)]. 12734 T(x,y * ((z \ K(u,w)) * v5)) = T(x,y * (K(u,w) * (z \ v5))). [para(60(a,1),12733(a,1,2,2,2,2)),flip(a)]. 12735 x \ T(x,y * (K(z,u) * (w \ v5))) = K(x,y * ((w \ K(z,u)) * v5)). [hyper(112,a,12734,a(flip),b,2674,a(flip))]. 12736 K(x,y * ((z \ K(u,w)) * v5)) = K(x,y * (K(u,w) * (z \ v5))). [hyper(2691,a,12735,a),flip(a)]. 12737 L(x,(y \ 1) \ (z \ 1),((y \ 1) \ (z \ 1)) \ (y / ((y \ z) \ 1))) = L(x,(y \ 1) \ z,y \ 1). [hyper(58,a,9124,a(flip),b,12705,a)]. 12738 L(x,(y \ 1) \ (z \ 1),((y \ 1) \ (z \ 1)) \ (y * (1 / (z \ y)))) = L(x,(y \ 1) \ z,y \ 1). [para(4095(a,1),12737(a,1,3,2))]. 12739 L(x,(y \ 1) \ (z \ 1),((z / y) * y) * (y \ z)) = L(x,(y \ 1) \ z,y \ 1). [para(7799(a,1),12738(a,1,3))]. 12740 L(x,(y \ 1) \ (z \ 1),z * (y \ z)) = L(x,(y \ 1) \ z,y \ 1). [para(7(a,1),12739(a,1,3,1))]. 12741 L(x,y * (z \ 1),z * (y \ z)) = L(x,(y \ 1) \ z,y \ 1). [hyper(9259,a,12740,a)]. 12743 L(x,(y \ 1) \ z,y \ 1) = L(x,z \ y,(y \ z) * z). [hyper(58,a,12487,a(flip),b,12741,a),flip(a)]. 12744 L(x,(y \ 1) \ z,y \ 1) = R(x,y \ 1,z \ y). [hyper(272,a,10452,a(flip),b,12743,a),flip(a)]. 12745 R(x,y \ 1,z \ y) = L(x,y * z,y \ 1). [hyper(9259,a,12744,a),flip(a)]. 12747 L(x,(1 / T(y,K(z,u))) * (K(z,u) / w),(1 / T(y,K(z,u))) \ 1) = R(x,(1 / T(y,K(z,u))) \ 1,((1 / w) \ (1 / y)) * K(z,u)). [para(11577(a,1),12745(a,1,3)),flip(a)]. 12748 L(x,(y * (z * u)) \ (u * y),(y * (z * u)) \ (u * y)) = L(x,L(T(z,u),u,y),L(T(z,u),u,y)). [para(211(a,1),11710(a,2,3))]. 12749 L(x,(y * (z * u)) \ (u * y),(y * (z * u)) \ (u * y)) = L(x,L(z,u,y),L(z,u,y)). [hyper(272,a,6852,a(flip),b,12748,a),flip(a)]. 12751 T(x,T((y * z) \ (((z \ (y \ 1)) * u) \ (1 / (z \ (y \ 1)))),w)) = T(x,T((((1 / z) / y) \ 1) / u,w)). [para(3(a,1),11566(a,2,2))]. 12752 T(x,T((y * z) \ (((z \ (y \ 1)) * u) \ (1 / (z \ (y \ 1)))),w)) = T(x,T(u * ((1 / z) / y),w) \ 1). [hyper(272,a,9794,a(flip),b,12751,a),flip(a)]. 12753 T(x,T((y * z) \ (((z \ (y \ 1)) * u) \ (1 / (z \ (y \ 1)))),w)) = T(x,T((y / (1 / z)) / u,w) * 1). [hyper(272,a,9919,a(flip),b,12752,a),flip(a)]. 12754 T(x,T((y * z) \ (((z \ (y \ 1)) * u) \ (1 / (z \ (y \ 1)))),w)) = T(x,T((y / (1 / z)) / u,w)). [para(3(a,1),12753(a,2,2))]. 12755 T(x,T((y * z) \ (((z \ (y \ 1)) * u) \ (1 / (z \ (y \ 1)))),w)) = T(x,T((y * (z / 1)) / u,w)). [hyper(272,a,9905,a(flip),b,12754,a),flip(a)]. 12756 T(x,T((y * z) \ (((z \ (y \ 1)) * u) \ (1 / (z \ (y \ 1)))),w)) = T(x,T((y * z) / u,w)). [para(70(a,1),12755(a,2,2,1,1,2))]. 12757 T(x,T((y * z) \ (((z \ (y \ 1)) * u) \ (((1 / z) / y) \ 1)),w)) = T(x,T((y * z) / u,w)). [para(4902(a,1),12756(a,1,2,1,2,2))]. 12758 T(x,T((((1 / y) / z) * ((y \ (z \ 1)) * u)) * (z * y),w) \ 1) = T(x,T((z * y) / u,w)). [hyper(58,a,9796,a(flip),b,12757,a)]. 12759 T(x,T(((y * z) \ ((y * z) \ u)) * (z * y),w) \ 1) = T(x,T((z * y) / u,w)). [para(10219(a,1),12758(a,1,2,1,1,1))]. 12760 T(x,T((y * z) \ (((z * y) \ u) \ (z * y)),w) * 1) = T(x,T((y * z) / u,w)). [hyper(58,a,10128,a(flip),b,12759,a)]. 12761 T(x,T((y * z) \ ((u \ (z * y)) * (z * y)),w) * 1) = T(x,T((y * z) / u,w)). [para(3295(a,1),12760(a,1,2,1,1,2))]. 12762 T(x,T((y * z) \ ((u \ (z * y)) * (z * y)),w)) = T(x,T((y * z) / u,w)). [para(3(a,1),12761(a,1,2))]. 12763 T(x,T((y * z) \ ((z * y) * ((z * y) / u)),w)) = T(x,T((y * z) / u,w)). [hyper(58,a,9927,a(flip),b,12762,a)]. 12764 T(x,T(K(y,z) * ((y * z) / u),w)) = T(x,T((z * y) / u,w)). [para(9542(a,1),12763(a,1,2,1))]. 12765 T(x,K(y,z) * T((y * z) / u,w)) = T(x,T((z * y) / u,w)). [hyper(58,a,11362,a(flip),b,12764,a)]. 12766 T(x,T(T(y * z,z) / u,w)) = T(x,T((z * y) / u,w)). [hyper(58,a,11501,a(flip),b,12765,a)]. 12767 T(x,T((y * (z * y)) / u,w)) = T(x,T(y * (z * (y / u)),w)). [hyper(58,a,12053,a(flip),b,12766,a),flip(a)]. 12768 T(x,T(y * (z * (y / u)),y * z)) = T(x,z * (z * (y * (u \ (y / z))))). [hyper(58,a,12023,a(flip),b,12767,a),flip(a)]. 12769 T(x,y * (y * (z * (u \ (z / y))))) = T(x,((z / u) * z) * y). [hyper(58,a,11885,a(flip),b,12768,a),flip(a)]. 12770 T(x,y * (y * (z * (u \ (z / y))))) = T(x,z * (u \ (z * y))). [hyper(272,a,11472,a(flip),b,12769,a),flip(a)]. 12771 L(x,y,y) * T(K(z,u) * (y \ 1),(K(z,u) * (y \ 1)) \ 1) = T((y * K(z,u)) \ x,(y \ 1) \ K(z,u)). [hyper(272,a,4474,a(flip),b,11082,a),flip(a)]. 12772 L(x,y,y) * T(K(z,u) * (y \ 1),(K(z,u) * (y \ 1)) \ 1) = T((y * K(z,u)) \ x,y * K(z,u)). [hyper(272,a,5983,a(flip),b,12771,a),flip(a)]. 12773 L(x,y,y) * T(K(z,u) * (y \ 1),(K(z,u) * (y \ 1)) \ 1) = x / (y * K(z,u)). [hyper(272,a,2775,a(flip),b,12772,a),flip(a)]. 12774 L(x,y,y) * T(K(z,u) * (y \ 1),(y \ 1) \ K(z,u)) = x / (y * K(z,u)). [para(4474(a,1),12773(a,1,2))]. 12775 L(x,y,y) * T(K(z,u) * (y \ 1),y * K(z,u)) = x / (y * K(z,u)). [para(5983(a,1),12774(a,1,2))]. 12776 L(x,y,y) * (K(z,u) / y) = x / (y * K(z,u)). [para(5903(a,1),12775(a,1,2))]. 12777 T((x \ y) * K(z,u),x) = y / (x * K(z,u)). [hyper(11751,a,12776,a)]. 12778 ((x * x) \ y) * (K(z,u) * x) = y / (x * K(z,u)). [hyper(58,a,11757,a,b,12777,a)]. 12779 (T(x,y) \ y) / (y * K(z,u)) = T((x \ 1) * K(z,u),y). [para(2934(a,1),12777(a,1,1,1)),flip(a)]. 12780 K(x,T(y,z * (u \ z))) * (u / z) = u / (z * K(x,y)). [hyper(58,a,11450,a,b,12778,a)]. 12781 K(x,T(y,z)) * (z / u) = z / (u * K(x,y)). [para(11228(a,1),12780(a,1,1))]. 12782 K(x,T(y,z \ u)) * ((u * z) \ u) = (z \ u) / (u * K(x,y)). [para(3308(a,1),12781(a,1,2))]. 12784 K(x,T(y,z * u)) * ((u * z) \ u) = (z \ u) / (u * K(x,y)). [para(11227(a,1),12782(a,1,1))]. 12785 (x \ y) / (y * K(z,u)) = (y * x) \ (K(z,u) * y). [hyper(58,a,10941,a(flip),b,12784,a),flip(a)]. 12786 (x * T(y,x)) \ (K(z,u) * x) = T((y \ 1) * K(z,u),x). [hyper(58,a,12779,a(flip),b,12785,a),flip(a)]. 12787 T((x \ 1) * K(y,z),u) = (x * u) \ (K(y,z) * u). [para(98(a,1),12786(a,1,1)),flip(a)]. 12788 (x * y) \ (K(z,u) * y) = T(x \ K(z,u),y). [para(5586(a,1),12787(a,1,1)),flip(a)]. 12789 T(T((x * K(y,z)) \ K(y,z),u),K(y,z) * u) = L(x,y,K(u,z)) \ 1. [para(12788(a,1),11727(a,1,1))]. 12790 T(T(T(x \ 1,K(y,z)),u),K(y,z) * u) = L(x,y,K(u,z)) \ 1. [para(2258(a,2),12789(a,1,1,1))]. 12791 T(T(T(x,K(y,z)) \ 1,u),K(y,z) * u) = L(x,y,K(u,z)) \ 1. [para(5566(a,1),12790(a,1,1,1))]. 12792 T(T(T(x,K(y,z)) \ 1,u),K(y,z) * u) = L(x,y,K(z,u)) \ 1. [para(28(a,1),12791(a,2,1,3))]. 12793 L(x,(y * (z * u)) \ (u * y),(y * (z * u)) \ (u * y)) = L(x,R(T(z,u * y),u,y),R(T(z,u * y),u,y)). [para(546(a,1),11711(a,2,3))]. 12794 L(x,(y * (z * u)) \ (u * y),(y * (z * u)) \ (u * y)) = L(x,R(z,u,y),R(z,u,y)). [hyper(272,a,6853,a(flip),b,12793,a),flip(a)]. 12796 L(x,R(y,z,u),R(y,z,u)) = L(x,L(y,z,u),L(y,z,u)). [hyper(58,a,12749,a(flip),b,12794,a),flip(a)]. 12797 (x \ T(y,z)) * ((x \ T(y,z)) * (((y \ x) * (x \ T(y,z))) * (y \ x))) = L(x \ T(y,z),y \ x,y \ x). [hyper(272,a,2005,a(flip),b,11107,a),flip(a)]. 12798 (x \ T(y,z)) * ((x \ T(y,z)) * (1 / (x \ T(y,z)))) = L(x \ T(y,z),y \ x,y \ x). [para(7483(a,1),12797(a,1,2,2))]. 12799 (x \ T(y,z)) * K(x \ T(y,z),(x \ T(y,z)) \ 1) = L(x \ T(y,z),y \ x,y \ x). [para(1050(a,2),12798(a,1,2))]. 12800 L(x \ T(y,z),y \ x,y \ x) != u | ((x \ T(y,z)) \ 1) \ 1 = u. [para(12799(a,1),2752(a,1))]. 12801 T(x,(y * ((y \ 1) \ z)) * (u \ T(y \ z,y * ((y \ 1) \ z)))) = T(x,T(u,y * (y * z)) \ (z / (1 / (z * y)))). [para(8481(a,1),11837(a,2,2,1))]. 12802 T(x,(y * ((y \ 1) \ z)) * (u \ T(y \ z,y * ((y \ 1) \ z)))) = T(x,T(u,y * (y * z)) \ (z * ((z * y) / 1))). [hyper(272,a,9685,a(flip),b,12801,a),flip(a)]. 12803 T(x,(y * ((y \ 1) \ z)) * (u \ T(y \ z,y * ((y \ 1) \ z)))) = T(x,T(u,y * (y * z)) \ (z * (z * y))). [para(70(a,1),12802(a,2,2,2,2))]. 12804 T(x,(y * ((y \ 1) \ z)) * (u \ T(y \ z,y * ((y \ 1) \ z)))) = T(x,z * (z * (T(u,y * (y * z)) \ y))). [hyper(272,a,11929,a(flip),b,12803,a),flip(a)]. 12805 T(x,(y * ((y \ 1) \ z)) * (u \ T(y \ z,y * (y * z)))) = T(x,z * (z * (T(u,y * (y * z)) \ y))). [para(8481(a,1),12804(a,1,2,2,2))]. 12806 T(x,L(y,T(z,u),u * (w * w)) * ((u * (w * w)) * z)) = T(x,L(y,u * (w * w),T(z,u)) * ((u * (w * w)) * z)). [hyper(58,a,9183,a(flip),b,12065,a),flip(a)]. 12807 T(x,L(y,T(z,u),u * (w * w)) * ((u * (w * w)) * z)) = T(x,L(y,u * (w * w),z) * ((u * (w * w)) * z)). [hyper(272,a,12637,a(flip),b,12806,a),flip(a)]. 12809 T(x,L(y,T(z,u),u * (w * w)) * ((u * (w * w)) * z)) = T(x,(y * (u * (w * w))) * z). [hyper(272,a,11911,a(flip),b,12807,a),flip(a)]. 12810 T(x,(y * T(z,u)) * (u * (w * w))) = T(x,(y * (u * (w * w))) * z). [hyper(58,a,11912,a(flip),b,12809,a)]. 12811 T(x,((y / z) * T(z,u)) * (u * (w * w))) = T(x,y * T(u * (w * w),z)). [hyper(272,a,11845,a(flip),b,12810,a),flip(a)]. 12812 T(x,(y * K(z,u)) * (u * (w * w))) = T(x,y * T(u * (w * w),z)). [para(3668(a,1),12811(a,1,2,1))]. 12813 T(x,y * (K(z,u) * (u * (w * w)))) = T(x,y * T(u * (w * w),z)). [hyper(58,a,11378,a(flip),b,12812,a)]. 12814 T(x,y * T(z * (u * u),w)) = T(x,y * (T(z,w) * (u * u))). [para(2694(a,1),12813(a,1,2,2)),flip(a)]. 12815 T(x,y * T(z * (u * u),w)) = T(x,y * (u * (u * T(z,w)))). [para(2956(a,1),12814(a,2,2,2))]. 12816 T(x,T(y,z) * (u * (u * T(z,w)))) = T(x,T(z * (u * u),w) * y). [hyper(58,a,11623,a(flip),b,12815,a),flip(a)]. 12817 T(x,T(y * (z * z),u) * w) = T(x,z * (z * (T(y,u) * w))). [hyper(58,a,11795,a(flip),b,12816,a),flip(a)]. 12818 T(x,T(y * T((z * u) * u,w),z)) = T(x,u * (u * (T(z,w) * y))). [hyper(58,a,12140,a,b,12817,a)]. 12819 T(x,T(y * ((z \ u) * (z \ u)),w) * v5) = T(x,(u / z) * ((u / z) * (T(y,w) * v5))). [para(4115(a,1),12817(a,1,2,1,1,2))]. 12820 T(x,T(y * ((z \ u) * (z \ u)),u / z) * w) = T(x,(u / z) * (y * ((u / z) * w))). [hyper(272,a,11856,a(flip),b,12819,a),flip(a)]. 12821 T(x,T(y * ((z \ u) * (z \ u)),z \ u) * w) = T(x,(u / z) * (y * ((u / z) * w))). [hyper(58,a,11330,a(flip),b,12820,a)]. 12822 T(x,(((y \ z) \ u) * (1 / (y \ z))) * w) = T(x,(y / z) * (u * ((y / z) * w))). [para(7069(a,1),12821(a,1,2,1))]. 12823 T(x,(((y \ z) \ u) * (1 * (z \ y))) * w) = T(x,(y / z) * (u * ((y / z) * w))). [hyper(9895,a,12822,a)]. 12824 T(x,(((y \ z) \ u) * (z \ y)) * w) = T(x,(y / z) * (u * ((y / z) * w))). [para(2(a,1),12823(a,1,2,1,2))]. 12825 T(x,(((y \ z) * u) * (y \ z)) * w) = T(x,(z / y) * (u * ((z / y) * w))). [hyper(9923,a,12824,a)]. 12826 T(x,(y / z) * (u * ((y / z) * w))) = T(x,(z \ y) * (u * ((z \ y) * w))). [hyper(58,a,11470,a(flip),b,12825,a),flip(a)]. 12827 T(x,(y * (((1 / z) * u) * ((z / y) \ 1))) * w) = T(x,(z \ y) * (u * ((z \ y) * w))). [hyper(58,a,11469,a,b,12826,a)]. 12828 T(x,(y * (((1 / z) * u) / (z / y))) * w) = T(x,(z \ y) * (u * ((z \ y) * w))). [hyper(58,a,8675,a(flip),b,12827,a)]. 12829 T(x,(y * (((1 / z) * u) * (y / z))) * w) = T(x,(z \ y) * (u * ((z \ y) * w))). [hyper(58,a,9917,a(flip),b,12828,a)]. 12830 T(x,(y * ((z \ (u * y)) / z)) * w) = T(x,(z \ y) * (u * ((z \ y) * w))). [para(771(a,1),12829(a,1,2,1,2))]. 12831 T(x,(y \ z) * (u * ((y \ z) * u))) = L(x,y \ (u * z),y \ (u * z)). [hyper(12013,a,12830,a),flip(a)]. 12832 L(x,y \ (z * u),y \ (z * u)) = L(x,z * (y \ u),z * (y \ u)). [hyper(58,a,10490,a(flip),b,12831,a),flip(a)]. 12833 L(x,(y * z) \ u,(y * z) \ u) = L(x,z * (u \ y),z * (u \ y)). [hyper(58,a,11708,a,b,12832,a)]. 12834 L(x,y * ((z * (y * u)) \ z),y * ((z * (y * u)) \ z)) = L(x,L(u,y,z),L(u,y,z)). [hyper(58,a,12149,a(flip),b,12832,a),flip(a)]. 12835 x * L(x \ 1,y * (z \ u),y * (z \ u)) = a(x,z \ (y * u),z \ (y * u)). [hyper(114,a,12832,a(flip),b,1184,a(flip))]. 12836 (L(x,(y * x) * (z \ y),(y * x) * (z \ y)) \ 1) \ (y * y) = y * (y * L(x,z,z)). [para(12833(a,1),7531(a,1,1,1))]. 12837 L(x \ 1,y * (x \ z),y * (x \ z)) = 1 / L(x,y * z,y * z). [hyper(29,a,5801,a(flip),b,12835,a),flip(a)]. 12838 L(x,y * (x \ z),y * (x \ z)) \ 1 = 1 / L(x,y * z,y * z). [hyper(12463,a,12837,a)]. 12839 L(x,y * ((z * (y * u)) \ z),y / (y * u)) = L(x,L(u,y,z),L(u,y,z)). [hyper(58,a,9112,a(flip),b,12834,a)]. 12841 L(x,y * ((z * (y * u)) \ z),y \ (u \ y)) = L(x,L(u,y,z),L(u,y,z)). [hyper(58,a,8975,a(flip),b,12839,a)]. 12842 L(x,L(y,z,u),L(y,z,u)) = L(x,z / (z * y),z \ (y \ z)). [hyper(58,a,9998,a(flip),b,12841,a),flip(a)]. 12844 L(x,L(y,z,u),L(y,z,u)) = L(x,z \ (y \ z),z \ (y \ z)). [hyper(272,a,9991,a(flip),b,12842,a),flip(a)]. 12845 L(x,L(y,z,u),L(y,z,u)) = L(x,(z \ y) * z,(z \ y) * z). [hyper(272,a,10037,a(flip),b,12844,a),flip(a)]. 12846 L(x,L(y,z,u),L(y,z,u)) = L(x,z * (y / z),(z \ y) * z). [para(2828(a,1),12845(a,2,2))]. 12847 L(x,L(y,z,u),L(y,z,u)) = L(x,z * (y / z),T(y,z)). [hyper(272,a,8982,a(flip),b,12846,a),flip(a)]. 12848 L(x,L(y,z,u),L(y,z,u)) = L(x,y,y). [hyper(272,a,9225,a(flip),b,12847,a),flip(a)]. 12849 L(x * (L(x,y,z) * u),x,x) = (L(x,y,z) \ 1) \ (x * u). [hyper(2042,a,12848,a),flip(a)]. 12850 L(L(x,y,z) * u,x,x) = (L(x,y,z) \ 1) \ u. [hyper(2010,a,12848,a),flip(a)]. 12852 L(x,R(y,z,u),R(y,z,u)) = L(x,y,y). [hyper(58,a,12796,a,b,12848,a)]. 12853 L(x,y,z) * L(u,x,x) = (1 / L(x,y,z)) \ u. [hyper(114,a,12848,a(flip),b,1998,a)]. 12854 (1 / L(x,y,z)) \ L(u,x,x) = L(x,y,z) * u. [hyper(112,a,12848,a(flip),b,3118,a)]. 12855 L(x,y \ (z * u),L((z \ y) \ u,z \ y,z)) = L(x,(z \ y) \ u,(z \ y) \ u). [para(437(a,1),12848(a,1,2))]. 12857 T(L(x,y,z) * u,L(x,y,z)) = L(u,x,x) * L(x,y,z). [para(12848(a,1),3120(a,1,1)),flip(a)]. 12860 (R(x,y,z) \ 1) * L(u,x,x) = R(x,y,z) \ u. [hyper(114,a,12852,a(flip),b,2013,a)]. 12861 (L(x,y,z) \ 1) \ (x * u) = L(x,y,z) * ((1 / x) \ u). [hyper(58,a,9129,a(flip),b,12850,a),flip(a)]. 12862 L(L(x,y,z) \ u,x,x) = (1 / L(x,y,z)) * u. [hyper(29,a,3122,a(flip),b,12853,a),flip(a)]. 12863 (x \ 1) \ (L(x,y,z) * u) = x * ((1 / L(x,y,z)) \ u). [para(12853(a,1),7226(a,1,2)),flip(a)]. 12864 (x * L(x,y,z)) * L(u,x,x) = x * (L(x,y,z) * u). [para(12854(a,1),12075(a,1,2)),flip(a)]. 12865 (R(x * x,y,z) \ 1) * u = R(x * x,y,z) \ u. [para(4396(a,1),12860(a,1,2))]. 12866 (1 / x) * (a(y,z,x) * u) = (1 / L(x,z,y)) * u. [hyper(58,a,12409,a(flip),b,12862,a)]. 12867 x * (R(y * y,z,u) \ 1) = x / R(y * y,z,u). [hyper(29,a,1137,a,b,12865,a)]. 12868 (1 / (x \ 1)) * (a(y,z,x \ 1) * u) = (1 / (x \ a(x,y,z))) * u. [para(1184(a,1),12866(a,2,1,2))]. 12869 (1 / x) * (x * (L(x,y,z) * u)) = (L(x,y,z) * (u / x)) * x. [para(12864(a,1),6870(a,1,2))]. 12870 L(x,y,y) * L(y,z,u) = x / (L(y,z,u) \ 1). [hyper(2916,a,12857,a),flip(a)]. 12871 L(x,y,y) * L(1 / y,z,u) = x / (L(1 / y,z,u) \ 1). [para(4237(a,1),12870(a,1,1))]. 12872 (x / (L(y,z,u) \ 1)) / y = (x * L(y,z,u)) * (y \ 1). [para(12870(a,1),7501(a,1,1))]. 12873 (L(x,y,z) \ 1) \ (x * u) = (x \ 1) \ (L(x,y,z) * u). [hyper(2010,a,12849,a),flip(a)]. 12874 (L(x,y,z) \ 1) \ (x * u) = x * ((1 / L(x,y,z)) \ u). [hyper(272,a,12863,a(flip),b,12873,a),flip(a)]. 12875 L(x,y,z) * ((1 / x) \ u) = x * ((1 / L(x,y,z)) \ u). [hyper(58,a,12861,a(flip),b,12874,a)]. 12876 x * ((1 / L(x,y,z)) \ ((1 / x) * u)) = L(x,y,z) * u. [hyper(507,a,12875,a),flip(a)]. 12877 (x * L(x,y,z)) * ((1 / x) * u) = L(x,y,z) * u. [hyper(58,a,12075,a(flip),b,12876,a)]. 12878 L(x,y,z) * (u * ((x \ 1) \ 1)) = (x * L(x,y,z)) * (x * (u / x)). [para(4742(a,1),12877(a,1,2)),flip(a)]. 12879 ((1 / x) \ L(y,x,x)) * ((1 / x) \ L(1 / x,z,u)) = (1 / x) \ ((y / (L(1 / x,z,u) \ 1)) / (1 / x)). [para(12871(a,1),1150(a,1,2,1)),flip(a)]. 12880 (L(x,y,z) * (u / x)) * x = L(L(x,y,z) * u,x,x). [hyper(3119,a,12869,a),flip(a)]. 12881 (L(x,y,z) * (u / x)) * x = (L(x,y,z) \ 1) \ u. [hyper(272,a,12850,a(flip),b,12880,a),flip(a)]. 12882 (x * x) * (L(x,y,z) * (u / x)) = ((L(x,y,z) \ 1) \ u) * x. [para(12881(a,1),3252(a,1,1)),flip(a)]. 12883 (1 / (x \ a(x,y,z))) * u = x * (a(y,z,x \ 1) * u). [hyper(296,a,12868,a),flip(a)]. 12885 (1 / (x \ a(x,y,z))) * u = x * (a(x,y,z) \ u). [para(12367(a,1),12883(a,2,2))]. 12886 (a(x,y,z) \ x) * u = x * (a(x,y,z) \ u). [para(10265(a,1),12885(a,1,1))]. 12887 T(1 / x,L(y,z,u)) * (y * (a(y,z,u) \ x)) = a(y,z,u) \ y. [para(12886(a,1),11952(a,1,2))]. 12888 a(x * (a(x,y,z) \ u),w,K(v5,a(x,y,z) \ x)) = a(w,T(1 / u,L(x,y,z)),K(x * (a(x,y,z) \ u),v5)). [para(12887(a,1),10658(a,1,3,2))]. 12889 L(x,y,z) * (u * ((x \ 1) \ 1)) = (x * x) * (L(x,y,z) * (u / x)). [hyper(272,a,12092,a(flip),b,12878,a),flip(a)]. 12890 L(x,y,z) * (u * ((x \ 1) \ 1)) = ((L(x,y,z) \ 1) \ u) * x. [hyper(272,a,12882,a(flip),b,12889,a),flip(a)]. 12891 ((L(x,y,z) \ 1) \ (u \ 1)) * x = L(x,y,z) * ((x \ u) \ 1). [para(4021(a,1),12890(a,1,2)),flip(a)]. 12892 L(x,y,z) * ((x \ u) \ 1) = (u / L(x,y,z)) \ x. [hyper(58,a,12543,a(flip),b,12891,a),flip(a)]. 12893 a(x,y,z) \ ((u / z) \ z) = (u / L(z,y,x)) \ z. [hyper(58,a,12418,a,b,12892,a)]. 12894 (a(x,y,z) / L(z,y,x)) \ z = (a(x,y,z) / z) \ L(z,y,x). [hyper(58,a,12535,a(flip),b,12892,a),flip(a)]. 12895 T(L(x,y,z) * L(x,u,w),x) = (a(w,u,x) / L(x,y,z)) \ x. [hyper(58,a,12490,a(flip),b,12893,a)]. 12896 T(L(x,y,z) * L(x,y,z),x) = (a(z,y,x) / x) \ L(x,y,z). [hyper(272,a,12894,a(flip),b,12895,a),flip(a)]. 12897 T((a(x,y,z) / z) \ L(z,y,x),z) = L(z,y,x) * L(z,y,x). [hyper(2782,a,12896,a)]. 12898 L(x,(y \ z) \ u,(y \ z) \ u) = L(x,z \ (y * u),z \ (y * u)). [para(437(a,1),12855(a,1,3)),flip(a)]. 12899 L(x,(y \ z) \ u,(y \ z) \ u) = L(x,y * (z \ u),y * (z \ u)). [hyper(272,a,12832,a(flip),b,12898,a),flip(a)]. 12900 L(x,y \ (z \ u),y \ (z \ u)) = L(x,z * (u \ y),z * (u \ y)). [hyper(5196,a,12899,a)]. 12901 L(x,(y \ z) * u,(y \ z) * u) = L(x,z * (y \ u),z * (y \ u)). [hyper(58,a,9993,a(flip),b,12899,a)]. 12902 L(x,(y / z) * u,(y / z) * u) = L(x,y * (z \ u),y * (z \ u)). [hyper(58,a,11578,a,b,12901,a)]. 12903 L(x,y * (x \ z),y * (x \ z)) = L(x,y * (z * x),y * (z * x)). [hyper(58,a,9945,a(flip),b,12901,a),flip(a)]. 12904 L(x,((y * z) \ 1) * (y \ u),((y * z) \ 1) * (y \ u)) = L(x,(y \ ((y * z) \ 1)) * u,(y * (z * y)) \ u). [hyper(58,a,9110,a(flip),b,12901,a),flip(a)]. 12905 L(x,y * ((1 / z) \ u),y * ((1 / z) \ u)) = L(x,((1 / z) \ y) * u,(z * y) * u). [hyper(58,a,9043,a(flip),b,12901,a),flip(a)]. 12906 L(x,(y \ (z * z)) * u,(y \ (z * z)) * u) = L(x,((y \ u) * z) * z,(z * z) * (y \ u)). [para(3252(a,2),12901(a,2,2))]. 12907 L(x,(x * y) * z,(x * y) * z) = L(x,y * (z * x),y * (z * x)). [hyper(58,a,11649,a,b,12903,a)]. 12908 (L(x,(y * x) * (z \ y),y * ((x / z) * y)) \ 1) \ (y * y) = y * (y * L(x,z,z)). [para(9081(a,1),12836(a,1,1,1))]. 12909 L(x,y * ((1 / z) \ u),y * ((1 / z) \ u)) = L(x,(z * y) * u,(z * y) * u). [hyper(272,a,10057,a(flip),b,12905,a),flip(a)]. 12910 L(x,y * ((1 / z) \ u),y * (z * u)) = L(x,(z * y) * u,(z * y) * u). [hyper(58,a,9053,a(flip),b,12909,a)]. 12911 L(x,y * ((z / 1) * u),y * (z * u)) = L(x,(z * y) * u,(z * y) * u). [hyper(58,a,9976,a(flip),b,12910,a)]. 12912 L(x,(y * z) * u,(y * z) * u) = L(x,z * (y * u),z * (y * u)). [para(70(a,1),12911(a,1,2,2,1)),flip(a)]. 12913 L(x,y * (z * x),y * (z * x)) = L(x,y * (x * z),y * (x * z)). [hyper(58,a,12907,a(flip),b,12912,a)]. 12914 L(x,y * (z * x),y * (z * x)) = T(x,y * (z * (x \ (y * z)))). [hyper(272,a,12133,a(flip),b,12913,a),flip(a)]. 12915 L(x,y * (x \ z),y * (x \ z)) = T(x,y * (z * (x \ (y * z)))). [hyper(58,a,12903,a,b,12914,a)]. 12916 T(x,y * (z * (x \ (y * z)))) \ 1 = 1 / L(x,y * z,y * z). [para(12915(a,1),12838(a,1,1))]. 12917 (L(x,y * ((x / z) * y),y * ((x / z) * y)) \ 1) \ (y * y) = y * (y * L(x,z,z)). [para(10071(a,1),12908(a,1,1,1))]. 12918 (L(x,y * ((z \ x) * y),y * ((z \ x) * y)) \ 1) \ (y * y) = y * (y * L(x,z,z)). [para(12138(a,1),12917(a,1,1,1))]. 12919 L(x,(y \ (z * z)) * u,(z * (z / y)) * u) = L(x,((y \ u) * z) * z,(z * z) * (y \ u)). [hyper(58,a,9127,a(flip),b,12906,a)]. 12920 L(x,((y \ z) * u) * u,(u * u) * (y \ z)) = L(x,(u * (u / y)) * z,(u * (u / y)) * z). [hyper(58,a,10028,a(flip),b,12919,a),flip(a)]. 12921 L(x,((y \ z) * u) * u,(u * u) * (y \ z)) = L(x,(u / y) * (u * z),(u / y) * (u * z)). [hyper(272,a,12912,a(flip),b,12920,a),flip(a)]. 12922 L(x,((y \ z) * u) * u,(u * u) * (y \ z)) = L(x,u * (y \ (u * z)),u * (y \ (u * z))). [hyper(272,a,12902,a(flip),b,12921,a),flip(a)]. 12923 L(x,((y \ z) * u) * u,u * (u * (y \ z))) = L(x,u * (y \ (u * z)),u * (y \ (u * z))). [hyper(58,a,8932,a(flip),b,12922,a)]. 12924 L(x,y * (z \ (y * u)),y * (z \ (y * u))) != w | L(x,y * (y * (z \ u)),y * (y * (z \ u))) = w. [para(12923(a,1),9263(a,1))]. 12925 ((1 / x) \ L(y,x,x)) * ((1 / x) \ L(1 / x,z,u)) = (1 / x) \ ((y * L(1 / x,z,u)) * ((1 / x) \ 1)). [para(12872(a,1),12879(a,2,2))]. 12926 ((1 / x) \ L(y,x,x)) * ((1 / x) \ L(1 / x,z,u)) = (1 / x) \ ((y * L(1 / x,z,u)) * x). [para(74(a,1),12925(a,2,2,2))]. 12927 ((1 / x) \ L(y,x,x)) * ((1 / x) \ L(1 / x,z,u)) = x * ((y * L(1 / x,z,u)) / (1 / x)). [hyper(272,a,3103,a(flip),b,12926,a),flip(a)]. 12928 (x * y) * ((1 / x) \ L(1 / x,z,u)) = x * ((y * L(1 / x,z,u)) / (1 / x)). [para(2970(a,1),12927(a,1,1))]. 12929 x * ((y * L(1 / x,z,u)) / (1 / x)) = (x * y) * a(x,u,z). [para(1180(a,2),12928(a,1,2)),flip(a)]. 12930 x * (y * ((1 / x) \ L(1 / x,z,u))) = (x * y) * a(x,u,z). [para(12313(a,1),12929(a,1,2))]. 12931 (x * y) * a(x,z,u) = x * (y * a(x,z,u)). [para(1180(a,2),12930(a,1,2,2)),flip(a)]. 12932 L(a(x,y,z),u,x) = a(x,y,z). [hyper(2469,a,12931,a)]. 12933 x * ((x \ y) * a(x,z,u)) = y * a(x,z,u). [hyper(485,a,12931,a),flip(a)]. 12934 R(x,y,a(x,z,u)) = x. [hyper(453,a,12931,a)]. 12935 x * ((y * z) * a(x,y,z)) = (x * y) * z. [hyper(250,a,12931,a),flip(a)]. 12936 (x * (y * a(x,z,T(u,y)))) / T(x * a(x,z,u),y) = L(y,x,a(x,z,u)). [para(12931(a,1),12542(a,1,1))]. 12937 (L(x,y,z) * u) * a(x,w,v5) = L(x,y,z) * (u * a(x,w,v5)). [para(12934(a,1),451(a,1,1,1)),flip(a)]. 12938 a(x,y,L(z,u,x)) = a(x,y,z). [hyper(58,a,12536,a(flip),b,12932,a)]. 12939 (x * y) / a(x,z,u) = x * (y / a(x,z,u)). [para(12932(a,1),471(a,1,2))]. 12940 a(x,y,(x \ z) \ u) = a(x,y,z \ (x * u)). [para(437(a,1),12938(a,1,3)),flip(a)]. 12941 a(x \ 1,y,(z \ u) / x) = a(x \ 1,y,z \ (u / x)). [para(6210(a,1),12938(a,1,3))]. 12942 a(x,y,z) \ L(z,u,x) = L(L(z,u,x),y,x). [para(12938(a,1),12338(a,2,1)),flip(a)]. 12943 x * (y * (z * a(x,y,z))) = (x * y) * z. [para(12502(a,1),12935(a,1,2))]. 12944 ((x * y) * z) \ ((x * y) * (z * a(x,y,z))) = a(x,y,z * a(x,y,z)). [para(12943(a,1),9(a,2,1)),flip(a)]. 12945 (x * (y * a(y,z,u))) / y = x * a(y,z,u). [hyper(58,a,10321,a,b,12933,a)]. 12946 L(x,y,z) * L(x,u,z) = x * L(L(x,u,z),y,z). [para(12942(a,1),12416(a,1,2)),flip(a)]. 12947 (x * a(y,z,u)) * y = x * (y * a(y,z,u)). [hyper(125,a,12945,a)]. 12948 (x * a(y,z,u)) * y = x * (a(y,z,u) * y). [para(1189(a,2),12947(a,2,2))]. 12949 (x * y) / (a(y,z,u) * y) = x / a(y,z,u). [hyper(531,a,12948,a)]. 12950 L(x,a(x,y,z),u) = x. [hyper(429,a,12948,a)]. 12951 a(x,y,z * a(x,y,z)) = L(a(x,y,z),z,x * y). [hyper(430,a,12944,a),flip(a)]. 12952 a(x,y,z * a(x,y,z)) = a(x,y,z). [hyper(272,a,12534,a(flip),b,12951,a),flip(a)]. 12954 (x * (a(x,y,z) * u)) / T(x * a(x,y,z),u) = L(u,x,a(x,y,z)). [para(12385(a,1),12936(a,1,1,2))]. 12955 a(x,y,z) * (x * u) = x * (a(x,y,z) * u). [hyper(8816,a,12954,a)]. 12956 L(x,a(y,z,u),y) = L(x,y,a(y,z,u)). [hyper(8266,a,12954,a)]. 12957 (x * a(x,y,z)) * L(u,x,a(x,y,z)) = x * (a(x,y,z) * u). [hyper(114,a,12956,a(flip),b,13,a(flip))]. 12958 a(x,y,z) \ (x * u) = x * (a(x,y,z) \ u). [hyper(112,a,137,a(flip),b,12955,a)]. 12959 x \ (a(x,y,z) \ (x * u)) = a(x,y,z) \ u. [hyper(112,a,12958,a,b,xx)]. 12962 L(x,y,a(y,z,u)) = x. [hyper(12560,a,12957,a),flip(a)]. 12963 ((x * y) * z) / (y * z) = a(x,y,z) * x. [para(12962(a,1),10572(a,1,2))]. 12964 R(x,y,z) = a(x,y,z) * x. [hyper(457,a,12963,a)]. 12965 a(x,y,z) * x != u | R(x,y,z) = u. [para(12963(a,1),457(a,1))]. 12967 a(x,y,z) = x \ R(x,y,z). [hyper(1685,a,12964,a),flip(a)]. 12968 a(x \ (y \ 1),z,u) \ z = R(z,u,y * x). [hyper(272,a,12349,a,b,12964,a)]. 12969 R(x,y,z \ 1) = a(z,x,y) \ x. [hyper(272,a,12367,a(flip),b,12964,a),flip(a)]. 12970 R(x,y,z) = x * a(x,y,z). [hyper(272,a,1189,a(flip),b,12964,a),flip(a)]. 12971 x * (a(x,y,z) * u) = R(x,y,z) * u. [para(12964(a,2),12558(a,1,1)),flip(a)]. 12972 (x * y) / R(y,z,u) = x / a(y,z,u). [para(12964(a,2),12949(a,1,2))]. 12973 x * a(x,y,z * ((u \ w) * v5)) = R(x,y,z * ((w \ u) \ v5)). [hyper(10036,a,12967,a)]. 12974 x * a(x,(y / z) * u,w) = R(x,(z / y) \ u,w). [hyper(9120,a,12967,a)]. 12975 x * a(x,(y \ z) * u,w) = R(x,(z \ y) \ u,w). [hyper(9118,a,12967,a)]. 12976 a(x,y,(x \ z) \ x) = a(y,z \ 1,x). [hyper(272,a,12440,a,b,12967,a)]. 12977 L(x,y,z) \ R(x,u,w) = a(z,y,x) * a(x,u,w). [hyper(114,a,12967,a,b,12366,a),flip(a)]. 12980 R(x * x,y,T(z,u)) = (x * x) * a(x * x,y,z). [hyper(114,a,12452,a(flip),b,12967,a(flip)),flip(a)]. 12981 x * a(x,y,T(z,u)) = R(x,T(y,u),z). [hyper(114,a,12373,a(flip),b,12967,a(flip))]. 12982 x * a(x,y,(z / u) * w) = R(x,y,(u / z) \ w). [hyper(114,a,10015,a(flip),b,12967,a(flip))]. 12983 x * a(x,y,(z \ u) * w) = R(x,y,(u \ z) \ w). [hyper(114,a,10014,a(flip),b,12967,a(flip))]. 12985 x * a(x,y,z) != u | R(x,y,z) = u. [para(12967(a,2),230(a,1,2))]. 12988 x \ a(x \ 1,y,z) = R(x \ 1,y,z). [hyper(272,a,10250,a(flip),b,12970,a)]. 12989 R(x,y,z) != x * u | a(x,y,z) = u. [para(12970(a,2),38(a,1))]. 12990 x \ R(x,y,z) != u | a(x,y,z) = u. [para(12970(a,2),287(a,1,2))]. 12991 R(x,y,z) \ x = a(x,y,z) \ 1. [para(12970(a,2),10816(a,1,1))]. 12992 a(x \ 1,y,z) = R(y,z,x) \ y. [para(12970(a,2),12342(a,1,1)),flip(a)]. 12993 (x * R(y,z,u)) / y = x * a(y,z,u). [para(12970(a,2),12945(a,1,1,2))]. 12994 a(x,y,z) \ (y * (u / (a(x,y,z) \ 1))) = (R(y,z,x \ 1) * u) / (a(x,y,z) \ 1). [para(12969(a,2),6939(a,1,1,1)),flip(a)]. 12995 x * (R(y,z,u) \ y) = x / a(y,z,u). [para(12991(a,2),10818(a,1,2))]. 12996 R(x,y,z \ u) \ x = a(u \ z,x,y). [hyper(58,a,10386,a(flip),b,12992,a),flip(a)]. 12997 x / (R(x,y,z) / a(z \ 1,x,y)) = (R(x,y,z) \ x) * (R(x,y,z) \ x). [para(12992(a,2),3272(a,1,2,2))]. 12999 a(x \ (y \ 1),z,u) \ z != w | R(z,u,y * x) = w. [para(12349(a,2),12965(a,1))]. 13000 T(x,a(y,z,u)) != w | R(x,z,K(u,y)) = w. [para(10586(a,1),12985(a,1))]. 13001 R(x,y,z) \ (x * u) = a(x,y,z) \ u. [hyper(518,a,12971,a)]. 13002 a(x,y,z) \ (x \ u) = R(x,y,z) \ u. [hyper(517,a,12971,a),flip(a)]. 13003 a(x,y,z) * (R(x,y,z) \ u) = x \ u. [hyper(112,a,5,a(flip),b,12971,a),flip(a)]. 13004 a(x,y,z) * (x * u) = R(x,y,z) * u. [hyper(58,a,12955,a,b,12971,a)]. 13005 x \ (R(x,y,z) * u) != w | a(x,y,z) * u = w. [para(12971(a,1),287(a,1,2))]. 13006 a(x,y,(z \ x) * x) = a(y,z \ 1,x). [hyper(58,a,10014,a(flip),b,12976,a)]. 13007 R(x,T(y,z),u) = R(x,y,T(u,z)). [hyper(12985,a,12981,a),flip(a)]. 13008 R(x,T(y,z),u) != w | R(x,y,T(u,z)) = w. [para(12981(a,1),12985(a,1))]. 13010 R(x,y * (z / y),u) = R(x,z,T(u,y)). [hyper(58,a,9359,a,b,13007,a)]. 13012 R(x,y \ z,T(u,y)) = R(x,z / y,u). [para(2775(a,1),13007(a,1,2)),flip(a)]. 13013 x \ (x \ ((x * (x * y)) * a((x * x) \ 1,z,u))) = x * (x * (y * R((x * x) \ 1,z,u))). [para(12988(a,1),7629(a,2,2,2,2))]. 13014 x * (x * (y * R(x \ (x \ 1),z,u))) = y * a(x \ (x \ 1),z,u). [hyper(4399,a,12993,a)]. 13015 x \ (x \ (y * R(x * x,z,u))) = y * a(x * x,z,u). [hyper(3062,a,12993,a)]. 13016 x \ ((x * R(y,z,u)) / y) = a(y,z,u). [hyper(112,a,12993,a,b,xx)]. 13017 a((x \ 1) \ y,z,y) = L(z,y \ x,y) \ z. [para(8884(a,1),12996(a,1,1)),flip(a)]. 13018 x * (R(x,y,z) \ u) = a(x,y,z) \ u. [hyper(58,a,1092,a(flip),b,13001,a)]. 13019 a(x,y,z) \ a(x \ 1,u,w) = R(x,y,z) \ L(x,w,u). [para(1183(a,2),13001(a,1,2)),flip(a)]. 13020 T(a(x,y,z) \ u,R(x,y,z)) = (x * u) / R(x,y,z). [para(13001(a,1),2775(a,1,1))]. 13021 a(x,y,z) \ a(x,u,w) = R(x,y,z) \ R(x,u,w). [para(12970(a,2),13001(a,1,2)),flip(a)]. 13022 a(x * x,y,z) \ (x \ (x \ u)) = R(x * x,y,z) \ L(u,x,x). [para(3524(a,1),13002(a,1,2))]. 13024 a(x,y,z) * R(x,u,w) = R(x,y,z) * a(x,u,w). [para(12970(a,2),13004(a,1,2))]. 13025 a(x,y,x * (z \ x)) = a(y,z \ 1,x). [hyper(58,a,12378,a(flip),b,13006,a)]. 13026 R(x,y * z,T(u,z)) = R(x,z * y,u). [para(6(a,1),13010(a,1,2,2)),flip(a)]. 13027 R(x,y * z,T(u,y)) = R(x,z * y,u). [para(2806(a,1),13010(a,1,2)),flip(a)]. 13028 R(x,y \ z,T(u,y)) = R(x,z / ((y \ 1) \ 1),u). [hyper(272,a,2480,a,b,13012,a),flip(a)]. 13029 R(x,y \ z,1 / (y \ u)) = R(x,z / y,y / u). [para(3063(a,1),13012(a,1,3))]. 13030 R(x,((y \ z) \ 1) \ u,T(w,(y \ z) \ 1)) = R(x,(y \ z) * T(u,z \ y),w). [para(4463(a,2),13012(a,2,2))]. 13032 R(x,y,z) \ (x \ u) = x \ (R(x,y,z) \ u). [hyper(112,a,13002,a(flip),b,13018,a),flip(a)]. 13033 a(x \ 1,y,((z * x) \ 1) / x) = a(y,z \ 1,x \ 1). [para(5111(a,1),13025(a,1,3))]. 13034 R(x,y * z,u * z) = R(x,z * y,z * u). [hyper(58,a,8745,a(flip),b,13026,a)]. 13035 R(x,(y \ (1 / (y * z))) * z,T(u,y \ (1 / (y * z)))) = R(x,((y * z) \ 1) * ((y / z) \ 1),u). [para(7509(a,2),13027(a,2,2))]. 13036 L(x,y,K(z,u)) != w | R(x,y,K(z,u)) = w. [para(10697(a,2),13000(a,1))]. 13039 L(x,y \ z,y) \ x = a(z * y,x,y). [hyper(58,a,10335,a(flip),b,13017,a),flip(a)]. 13041 a(x * y,z,y) != u | a(y,y \ x,z) = u. [para(13039(a,1),12330(a,1))]. 13042 (x \ y) \ (x \ (R(x,z,u) \ y)) = R(T(x,x \ y),z,u) \ 1. [para(13032(a,1),3040(a,2,2)),flip(a)]. 13044 R(x,(y / z) \ u,w) = R(x,(z / y) * u,w). [hyper(12985,a,12974,a),flip(a)]. 13045 R(x,(y / z) \ u,w) != v5 | R(x,(z / y) * u,w) = v5. [para(12974(a,1),12985(a,1))]. 13046 R(x,(y / 1) * y,y \ (y \ z)) = L(x,y \ (z \ (y \ 1)),y * y). [hyper(58,a,12541,a(flip),b,13044,a),flip(a)]. 13047 R(x,(y \ z) \ u,w) = R(x,(z \ y) * u,w). [hyper(12985,a,12975,a),flip(a)]. 13049 R(x * x,y,T(z,u)) != w | R(x * x,y,z) = w. [para(12980(a,2),12985(a,1))]. 13050 R(x,y,(z / u) \ w) = R(x,y,(u / z) * w). [hyper(12985,a,12982,a),flip(a)]. 13051 R(x,y,((z \ 1) * (1 / u)) * w) = R(x,y,((1 / z) / u) * w). [hyper(58,a,8758,a,b,13050,a)]. 13052 R(x,y * (z / y),(y / 1) * (z \ 1)) = L(x,(1 / y) * (z \ 1),y * (z / y)). [hyper(58,a,9938,a(flip),b,13050,a),flip(a)]. 13053 R(x,y,(z / u) * ((w * (v5 * (u / z))) / (u / z))) = R(x,y,((u / z) \ w) * L(v5,u / z,u / z)). [para(2019(a,1),13050(a,1,3)),flip(a)]. 13054 R(x,y,(T(z \ 1,u) / u) * w) = R(x,y,(z * u) \ w). [para(2241(a,1),13050(a,1,3,1)),flip(a)]. 13055 R(x,y,((T(z,u) \ 1) / u) * w) = R(x,y,((1 / z) \ u) \ w). [para(3482(a,1),13050(a,1,3,1)),flip(a)]. 13056 R(x,y,((1 / z) \ (1 / u)) \ w) = R(x,y,((u * (z \ 1)) / 1) * w). [para(4096(a,1),13050(a,1,3,1))]. 13057 R(x,y,(z \ u) \ w) != v5 | R(x,y,(u \ z) * w) = v5. [para(12983(a,1),12985(a,1))]. 13058 R(x,y / (((z \ u) \ 1) \ 1),w) = R(x,(u \ z) * y,T(w,z \ u)). [hyper(58,a,13047,a(flip),b,13028,a),flip(a)]. 13059 R(x,y \ z,(y \ u) \ 1) = R(x,z / y,y / u). [hyper(5329,a,13029,a)]. 13060 T(a(x,y,z) \ u,L(x,y,z)) = (x * u) / R(x,y,z). [hyper(10620,a,13020,a)]. 13061 R(x,y \ z,(u \ y) * 1) = R(x,z / y,y / u). [hyper(13057,a,13059,a)]. 13062 R(x,(y \ 1) \ 1,(y \ z) * 1) = L(x,y \ z,z \ (z \ y)). [hyper(13057,a,11300,a)]. 13063 R(x,y / z,z / u) = R(x,z \ y,u \ z). [para(3(a,1),13061(a,1,3)),flip(a)]. 13064 R(x,y \ (z * z),z \ y) = L(x,z \ y,y \ 1). [hyper(58,a,12521,a(flip),b,13063,a),flip(a)]. 13065 R(x,y \ 1,y / z) = R(x,y \ 1,z \ y). [hyper(58,a,2476,a(flip),b,13063,a)]. 13066 R(x,y \ 1,y / z) = L(x,y * z,y \ 1). [hyper(272,a,12745,a(flip),b,13065,a),flip(a)]. 13067 R(x,(1 / L(y,z,z)) \ 1,(1 / L(y,z,z)) / z) = R(x,(1 / L(y,z,z)) \ 1,(z \ 1) * (1 / y)). [para(3793(a,1),13065(a,2,3))]. 13068 R(x,y * (y / z),y \ z) = L(x,y \ z,z \ 1). [hyper(58,a,10439,a(flip),b,13064,a)]. 13069 (x * ((y / x) \ 1)) / R(x,z,u) = y \ (a(x,z,u) \ x). [hyper(58,a,12102,a(flip),b,13060,a),flip(a)]. 13070 a(x,y,z) \ (1 / a(u,w,x)) = R(x,y,z) \ L(x,w,u). [para(12339(a,1),13019(a,1,2))]. 13071 a(x \ 1,y,((z / x) \ x) \ 1) = a(y,(z \ 1) \ 1,x \ 1). [para(5113(a,1),13033(a,1,3))]. 13072 R(x,y,(z \ (u \ 1)) * w) = R(x,y,(u * z) \ w). [hyper(58,a,8767,a(flip),b,13054,a)]. 13073 ((x \ y) * y) / R(y,z,u) = x \ (a(y,z,u) \ y). [para(2852(a,1),13069(a,1,1))]. 13074 (x \ y) / a(y,z,u) = x \ (a(y,z,u) \ y). [hyper(58,a,12972,a(flip),b,13073,a)]. 13075 R(x,y,z * ((u \ w) \ v5)) = R(x,y,z * ((w \ u) * v5)). [hyper(12985,a,12973,a),flip(a)]. 13076 R(x,y,z * ((u \ w) \ 1)) = R(x,y,z * (w \ u)). [para(3(a,1),13075(a,2,3,2))]. 13077 R(x,y,z / (u \ w)) = R(x,y,z * (w \ u)). [hyper(58,a,8753,a(flip),b,13076,a)]. 13078 R(x,y,z * T(1 / u,w)) = R(x,y,z * (w \ (u \ w))). [para(3492(a,1),13076(a,1,3,2))]. 13079 R(x,y,z * (1 \ T(u \ 1,w))) = R(x,y,z * T(1 / u,w)). [para(5438(a,1),13076(a,1,3,2)),flip(a)]. 13080 R(x,y,z * (u / (w \ 1))) = R(x,y,z * ((1 / u) \ w)). [hyper(58,a,8776,a(flip),b,13077,a)]. 13081 R(x,y,((z \ 1) * (1 / u)) * w) = R(x,y,(z \ (u \ 1)) * w). [hyper(272,a,8771,a(flip),b,13051,a),flip(a)]. 13082 R(x,y,((T(z,u) \ 1) / u) * w) != v5 | R(x,y,(u \ (1 / z)) * w) = v5. [para(13055(a,2),13057(a,1))]. 13083 R(x,(y \ 1) \ 1,y \ z) = L(x,y \ z,z \ (z \ y)). [para(3(a,1),13062(a,1,3))]. 13084 L(x,y \ z,z \ (z \ y)) = R(x,y,y \ z). [hyper(58,a,2477,a(flip),b,13083,a),flip(a)]. 13085 a(x \ 1,y,x \ (x \ z)) = a(y,(z \ 1) \ 1,x \ 1). [hyper(58,a,12515,a(flip),b,13071,a)]. 13086 a(x \ 1,y,x \ (x \ z)) = a(z \ 1,x,y). [hyper(272,a,12401,a(flip),b,13085,a),flip(a)]. 13087 a(x \ 1,y,x \ (z / x)) = a(z \ 1,x,y). [hyper(58,a,12517,a,b,13086,a)]. 13088 R(x,y,z * T(1 / u,w)) = R(x,y,z * T(u \ 1,w)). [para(60(a,1),13079(a,1,3,2)),flip(a)]. 13089 R(x,y,z * T(u \ 1,w)) = R(x,y,z * (w \ (u \ w))). [hyper(58,a,13078,a(flip),b,13088,a),flip(a)]. 13090 R(x,y,z * T(u \ 1,w)) = R(x,y,z / T(u,w)). [hyper(272,a,8759,a(flip),b,13089,a),flip(a)]. 13091 R(x,y,(z \ 1) / T(u,w)) = R(x,y,z \ T(u \ 1,w)). [hyper(58,a,8768,a(flip),b,13090,a),flip(a)]. 13092 R(x,y,z \ T(u \ 1,w)) = R(x,y,z \ (T(u,w) \ 1)). [hyper(58,a,8770,a(flip),b,13091,a),flip(a)]. 13093 R(x,y,((z \ 1) * (1 / u)) * w) = R(x,y,(u * z) \ w). [hyper(272,a,13072,a(flip),b,13081,a),flip(a)]. 13094 a(x * x,y,z) \ (x \ (x \ u)) = u * (R(x * x,y,z) \ 1). [hyper(272,a,12199,a(flip),b,13022,a),flip(a)]. 13095 a(x * x,y,z) \ (x \ (x \ u)) = u / R(x * x,y,z). [hyper(272,a,12867,a(flip),b,13094,a),flip(a)]. 13096 x * (x * (y * R(x \ (x \ 1),z,u))) = y / a(z,u,x * x). [hyper(272,a,12370,a(flip),b,13014,a),flip(a)]. 13097 x * (x * (y * R(x \ (x \ 1),z,u))) = a(z,u,x * x) \ y. [hyper(272,a,12192,a(flip),b,13096,a),flip(a)]. 13098 x * (x * (y * R(x \ (x \ 1),z,u))) != w | a(z,u,x * x) \ y = w. [para(13096(a,2),12196(a,1))]. 13099 L(x,y \ (z \ (y \ 1)),y * y) = R(x,y * y,y \ (y \ z)). [para(70(a,1),13046(a,1,2,1)),flip(a)]. 13100 R(x,y,((z * (u \ 1)) / 1) * w) = R(x,y,((1 / z) \ (1 / u)) * w). [hyper(13057,a,13056,a),flip(a)]. 13101 (R(x,y,z) \ x) * (R(x,y,z) \ x) = x / (R(x,y,z) * a(x,y,z)). [para(12343(a,1),12997(a,1,2)),flip(a)]. 13102 (R(x,y,z) \ x) * (R(x,y,z) \ x) = x / (a(x,y,z) * R(x,y,z)). [para(1191(a,1),13101(a,2,2))]. 13103 (R(x,y,z) \ x) / a(x,y,z) = x / (a(x,y,z) * R(x,y,z)). [hyper(58,a,12995,a(flip),b,13102,a)]. 13104 x / (a(x,y,z) * R(x,y,z)) = R(x,y,z) \ (a(x,y,z) \ x). [hyper(58,a,13074,a(flip),b,13103,a),flip(a)]. 13105 R(x,((y \ z) \ 1) \ u,T(w,z \ y)) = R(x,(y \ z) * T(u,z \ y),w). [para(4459(a,1),13030(a,1,3))]. 13106 R(x,(y \ z) * T(u,z \ y),w) = R(x,(y \ z) * u,T(w,z \ y)). [hyper(58,a,9351,a(flip),b,13105,a),flip(a)]. 13107 R(x,(y \ z) * u,T(w,z \ y)) = R(x,u / ((y \ z) \ 1),w). [para(4463(a,1),13106(a,1,2)),flip(a)]. 13108 R(x,(y \ z) * u,T(w,z \ y)) = R(x,u * (y \ z),w). [hyper(272,a,9357,a(flip),b,13107,a),flip(a)]. 13109 R(x,y / (((z \ u) \ 1) \ 1),w) = R(x,y * (u \ z),w). [hyper(58,a,13058,a,b,13108,a)]. 13110 R(x,y / (z \ u),w) = R(x,y * (u \ z),w). [hyper(58,a,2480,a(flip),b,13109,a)]. 13111 R(x,y * (1 / (z \ u)),w) = R(x,y * (u \ z),w). [hyper(58,a,9355,a,b,13110,a)]. 13112 R(x,y * T(z \ 1,u),w) = R(x,y * (u \ (z \ u)),w). [para(3426(a,1),13111(a,1,2,2))]. 13113 R(x,y * T(z \ 1,u),w) = R(x,y / T(z,u),w). [hyper(272,a,9356,a(flip),b,13112,a),flip(a)]. 13114 R(x,(y \ 1) / T(z,u),w) = R(x,y \ T(1 / z,u),w). [hyper(58,a,10399,a(flip),b,13113,a),flip(a)]. 13115 R(x,y \ T(1 / z,u),w) = R(x,y \ (T(z,u) \ 1),w). [hyper(58,a,10427,a(flip),b,13114,a),flip(a)]. 13116 L(x,(1 / y) * (z \ 1),y * (z / y)) = R(x,y * (z / y),y * (z \ 1)). [para(70(a,1),13052(a,1,3,1)),flip(a)]. 13117 L(x,(1 / y) * (z \ 1),y * (z / y)) = R(x,y * (z / y),y / z). [hyper(272,a,8753,a(flip),b,13116,a),flip(a)]. 13118 L(x,(1 / y) * (z \ 1),y * (z / y)) = R(x,z,T(y / z,y)). [hyper(272,a,13010,a(flip),b,13117,a),flip(a)]. 13119 L(x,(1 / y) * (z \ 1),y * (z / y)) = R(x,z,T(z \ y,y)). [hyper(272,a,8097,a(flip),b,13118,a),flip(a)]. 13120 L(x,(1 / y) * (z \ 1),y * (z / y)) = R(x,z,y / z). [hyper(272,a,10420,a(flip),b,13119,a),flip(a)]. 13121 L(x,(1 / y) * (z \ 1),y * (z / y)) = R(x,z,z \ y). [hyper(272,a,8096,a(flip),b,13120,a),flip(a)]. 13122 L(x,(1 / y) * (z \ 1),T(z,y)) = R(x,z,z \ y). [hyper(58,a,8984,a(flip),b,13121,a)]. 13123 L(x,(1 / y) / z,T(z,y)) = R(x,z,z \ y). [hyper(58,a,9197,a(flip),b,13122,a)]. 13124 L(x,y \ (1 / z),T(y,z)) = R(x,y,y \ z). [hyper(58,a,11680,a(flip),b,13123,a)]. 13125 L(x,y \ (z \ 1),T(y,z)) = R(x,y,y \ z). [hyper(10491,a,13124,a)]. 13126 L(x,y \ (z \ 1),z) = R(x,z,z \ y). [hyper(58,a,12481,a(flip),b,13125,a)]. 13127 a(x,y,z) \ (y * (u / (a(x,y,z) \ 1))) = (R(y,z,x \ 1) * u) * a(x,y,z). [hyper(272,a,10821,a(flip),b,12994,a),flip(a)]. 13128 a(x,y,z) \ (y * (u * a(x,y,z))) = (R(y,z,x \ 1) * u) * a(x,y,z). [para(10821(a,1),13127(a,1,2,2))]. 13129 (R(x,y,z \ 1) * u) * a(z,x,y) = x * (a(z,x,y) \ (u * a(z,x,y))). [hyper(58,a,12594,a(flip),b,13128,a),flip(a)]. 13130 (R(x,y,z \ 1) * u) * a(z,x,y) = x * T(u,a(z,x,y)). [para(17(a,2),13129(a,2,2))]. 13131 (R(x,y,z \ 1) * u) * a(z,x,y) = x * L(u,y,K(z,x)). [para(10711(a,2),13130(a,2,2))]. 13132 (R(x,y,z \ 1) * u) * a(z,x,y) = x * L(u,y,K(x,z)). [para(28(a,1),13131(a,2,2,3))]. 13133 x \ (x \ ((x * (x * y)) / a(z,u,x * x))) = x * (x * (y * R((x * x) \ 1,z,u))). [para(12360(a,1),13013(a,1,2,2))]. 13134 x \ (x \ (a(y,z,x * x) \ (x * (x * u)))) = x * (x * (u * R((x * x) \ 1,y,z))). [para(12192(a,1),13133(a,1,2,2))]. 13135 x \ (x \ (L(x * x,y,z) * L(u,x,x))) = x * (x * (u * R((x * x) \ 1,z,y))). [para(12417(a,1),13134(a,1,2,2))]. 13136 x * (x * (y * R((x * x) \ 1,z,u))) = x \ (x \ (y * L(x * x,u,z))). [para(12198(a,1),13135(a,1,2,2)),flip(a)]. 13137 x * (x * (y * R(x \ (x \ 1),z,u))) = x \ (x \ (y * L(x * x,u,z))). [para(3080(a,1),13136(a,1,2,2,2,1))]. 13138 x \ (x \ (y * L(x * x,z,u))) = a(u,z,x * x) \ y. [hyper(13098,a,13137,a),flip(a)]. 13139 R(x,y \ T(1 / y,z),T(u,y \ (1 / (y * z)))) = R(x,((y * z) \ 1) * ((y / z) \ 1),u). [para(4935(a,1),13035(a,1,2))]. 13140 R(x,y \ T(1 / y,z),T(u,y \ ((y * z) \ 1))) = R(x,((y * z) \ 1) * ((y / z) \ 1),u). [para(5782(a,1),13139(a,1,3))]. 13141 R(x,y \ T(1 / y,z),T(u,y \ (z \ (y \ 1)))) = R(x,((y * z) \ 1) * ((y / z) \ 1),u). [para(9681(a,1),13140(a,1,3))]. 13142 R(x,y,(z / u) * ((w * (v5 * (u / z))) / (u / z))) = R(x,y,((u / z) \ w) * v5). [hyper(272,a,8755,a(flip),b,13053,a),flip(a)]. 13144 R(x,L(y,z,z),(1 / L(y,z,z)) / z) = R(x,(1 / L(y,z,z)) \ 1,(z \ 1) * (1 / y)). [para(74(a,1),13067(a,1,2))]. 13146 R(x,(1 / L(y,z,z)) \ 1,(z \ 1) * (1 / y)) = R(x,L(y,z,z),(1 / y) * (1 / z)). [para(3792(a,1),13144(a,1,3)),flip(a)]. 13147 R(x,(1 / L(y,z,z)) \ 1,(z \ 1) * (1 / y)) = R(x,L(y,z,z),(1 / y) / z). [hyper(272,a,8765,a(flip),b,13146,a),flip(a)]. 13148 R(x,(1 / L(y,z,z)) \ 1,(z \ 1) * (1 / y)) = R(x,L(y,z,z),y \ (z \ 1)). [hyper(272,a,4901,a(flip),b,13147,a),flip(a)]. 13149 R(x,(1 / L(y,z,z)) \ 1,(z \ 1) * (1 / y)) = R(x,y,y \ (z \ 1)). [hyper(272,a,9349,a(flip),b,13148,a),flip(a)]. 13151 R(x,(1 / L(y,z,z)) \ 1,(z \ 1) * (1 / y)) = L(x,y \ z,y). [hyper(272,a,8884,a(flip),b,13149,a),flip(a)]. 13152 R(x,L(y,z,z),(z \ 1) * (1 / y)) = L(x,y \ z,y). [para(74(a,1),13151(a,1,2))]. 13153 R(x,L(y,z,z),(z \ 1) / y) = L(x,y \ z,y). [hyper(58,a,8765,a(flip),b,13152,a)]. 13155 R(x,L(y,z,z),z \ (y \ 1)) = L(x,y \ z,y). [hyper(58,a,8770,a(flip),b,13153,a)]. 13156 R(x,y,z \ (y \ 1)) = L(x,y \ z,y). [hyper(58,a,9349,a(flip),b,13155,a)]. 13158 L(x,y \ (K(z,y \ 1) * u),y) = R(x,y,u \ T(y \ 1,z)). [para(5652(a,1),13156(a,1,3)),flip(a)]. 13159 R(x,y,(1 / z) \ T(y \ 1,u)) = L(x,y \ (K(y \ 1,u) / z),y). [para(5655(a,1),13156(a,1,3))]. 13160 L(x,y \ (K(z,y \ 1) * u),y) = R(x,y,u \ (T(y,z) \ 1)). [hyper(272,a,13092,a(flip),b,13158,a),flip(a)]. 13161 R(x,y,z \ (T(y,u) \ 1)) = L(x,T(y,y * u) \ z,y). [para(3971(a,1),13160(a,1,2)),flip(a)]. 13162 R(x,y,(1 / z) \ (T(y,u) \ 1)) = L(x,y \ (K(y \ 1,u) / z),y). [hyper(58,a,13092,a(flip),b,13159,a)]. 13163 a(x,T(1 / y,L(z,u,w)),K(z * (a(z,u,w) \ y),v5)) = a(z * (a(z,u,w) \ y),x,K(v5,L(z,w,u))). [para(10524(a,1),12888(a,1,3)),flip(a)]. 13164 a(x,T(1 / y,L(z,u,w)),K(z * (a(z,u,w) \ y),v5)) = a(z * (a(z,u,w) \ y),x,K(v5,z)). [hyper(272,a,12236,a(flip),b,13163,a),flip(a)]. 13166 a(x,T(1 / y,L(z,u,w)),K(z * (a(z,u,w) \ y),v5)) = a(z * (a(z,u,w) \ y),x,K(z,v5)). [para(28(a,1),13164(a,2,3))]. 13167 a(x,T(1 / y,L(z,u,w)),K(z * (a(z,u,w) \ y),v5)) = a(x,a(z,u,w) \ y,K(z,v5)). [hyper(272,a,10667,a(flip),b,13166,a),flip(a)]. 13168 L(x,((y * z) \ 1) * (y \ u),((y * z) \ 1) * (y \ u)) = L(x,(y * (z * y)) \ u,(y * (z * y)) \ u). [hyper(272,a,10012,a(flip),b,12904,a),flip(a)]. 13169 L(x,((y * z) \ 1) * (y \ u),((y * z) \ 1) * (y \ u)) = L(x,(z * y) * (u \ y),(z * y) * (u \ y)). [hyper(272,a,12833,a(flip),b,13168,a),flip(a)]. 13170 L(x,((y * z) \ 1) * (y \ u),((y * z) \ 1) * (y \ u)) = L(x,y * (z * (u \ y)),y * (z * (u \ y))). [hyper(272,a,12912,a(flip),b,13169,a),flip(a)]. 13171 L(x,(y * z) \ (y \ u),(y * z) \ (y \ u)) = L(x,y * (z * (u \ y)),y * (z * (u \ y))). [hyper(10480,a,13170,a)]. 13172 L(x,y * (z \ (y * u)),y * (z \ (y * u))) = L(x,y * (u * (z \ y)),y * (u * (z \ y))). [hyper(58,a,12900,a(flip),b,13171,a)]. 13173 L(x,y * (z * (u \ y)),y * (z * (u \ y))) = L(x,y * (y * (u \ z)),y * (y * (u \ z))). [hyper(12924,a,13172,a),flip(a)]. 13174 L(x,y * ((z \ u) * y),y * ((z \ u) * y)) = L(x,y * (u * (z \ y)),y * (u * (z \ y))). [hyper(272,a,11595,a,b,13173,a)]. 13175 (L(x,y * (x * (z \ y)),y * (x * (z \ y))) \ 1) \ (y * y) = y * (y * L(x,z,z)). [para(13174(a,1),12918(a,1,1,1))]. 13176 (T(x,y * ((z \ y) * (x \ (y * (z \ y))))) \ 1) \ (y * y) = y * (y * L(x,z,z)). [para(12133(a,1),13175(a,1,1,1))]. 13177 (1 / L(x,y * (z \ y),y * (z \ y))) \ (y * y) = y * (y * L(x,z,z)). [para(12916(a,1),13176(a,1,1))]. 13178 L(x,y * (z \ y),y * (z \ y)) * (y * y) = y * (y * L(x,z,z)). [hyper(3428,a,13177,a)]. 13179 L(x,y * (z \ y),y * (z \ y)) = L(x,z,z). [hyper(3025,a,13178,a),flip(a)]. 13180 L(x,y \ K(z,u),y \ K(z,u)) = L(x,y,y). [hyper(58,a,11506,a(flip),b,13179,a)]. 13181 L(x,y \ z,y \ z) = L(x,z * y,z * y). [hyper(58,a,10021,a(flip),b,13179,a)]. 13182 L(T(x,y * (y / z)),z,z) = T(x,1 / ((y * y) / z)). [hyper(58,a,9997,a(flip),b,13179,a),flip(a)]. 13183 x \ ((y * (y * L(z,x,x))) / x) = (x \ z) / (y \ (y \ x)). [para(13179(a,1),11610(a,1,2,1,2,2))]. 13184 L(x,y,y) * (K(z,u) * y) = x / (y \ K(z,u)). [para(13180(a,1),5645(a,1,1))]. 13186 L(x \ T(y,z),x * y,x * y) = ((x \ T(y,z)) \ 1) \ 1. [hyper(12800,a,13181,a),flip(a)]. 13187 T(x,y * (z \ (y / z))) = L(x,y * z,y * z). [hyper(11604,a,13181,a)]. 13188 L(x,y * (y * z),y * (y * z)) = L(x,z,z). [hyper(7005,a,13181,a),flip(a)]. 13189 L((x \ T(y,x)) \ 1,x * y,x * y) = T(y \ x,y / ((x * y) \ 1)). [hyper(58,a,12137,a(flip),b,13181,a),flip(a)]. 13194 L(x * (y * x),y,y) = ((x * y) \ 1) \ x. [hyper(58,a,11596,a(flip),b,13188,a),flip(a)]. 13197 (x \ 1) \ (y * T(y,x)) = ((y * x) \ 1) \ y. [hyper(5016,a,13194,a)]. 13199 (((x * y) \ 1) \ x) * y = y * (x / (1 / (y * x))). [para(13197(a,1),6563(a,1,1))]. 13200 T((x * K(y,y \ 1)) * z,x * K(y,y \ 1)) = z / (x \ K(y,y \ 1)). [hyper(58,a,11366,a,b,13184,a)]. 13202 ((x \ ((1 / ((y \ 1) * (1 / x))) \ 1)) \ y) \ 1 = ((((1 / x) * (y \ 1)) \ 1) \ (1 / x)) * (y \ 1). [hyper(272,a,4904,a,b,13199,a)]. 13203 (x * x) * T(((y * x) \ 1) \ y,x \ 1) = x * (x * (y / (1 / (x * y)))). [para(13199(a,1),3092(a,2,2))]. 13204 L(T(x,y * (y / z)),z,z) = T(x,1 * (z / (y * y))). [hyper(272,a,9693,a(flip),b,13182,a),flip(a)]. 13206 L(T(x,y * (y / z)),z,z) = T(x,1 * (y \ (y \ z))). [para(3009(a,1),13204(a,2,2,2))]. 13207 L(T(x,y * (y / z)),z,z) = T(x,y \ (y \ z)). [para(2(a,1),13206(a,2,2))]. 13208 L(T(x,y * (y / (z * K(y,u)))),z * K(y,u),z * K(y,u)) = T(x,y \ ((y \ z) * K(y,u))). [para(4298(a,1),13207(a,2,2,2))]. 13209 L(T(x,(a(y,z,u) / w) * a(y,z,u)),w,w) = T(x,a(y,z,u) \ (a(y,z,u) \ w)). [para(10985(a,1),13207(a,1,1))]. 13210 x \ ((y * (z * z)) * (1 / x)) = (x \ y) / (z \ (z \ x)). [para(6118(a,1),13183(a,1,2))]. 13212 x \ ((y * (y * z)) * (1 / x)) = (x \ z) / (y \ (y \ x)). [para(2956(a,1),13210(a,1,2,1))]. 13213 (x \ (y * (y * z))) / x = (x \ z) / (y \ (y \ x)). [hyper(3536,a,13212,a)]. 13214 (x \ (x * y)) / (z \ (z \ x)) = L(y,x,x) * ((z * z) / x). [hyper(58,a,4758,a(flip),b,13213,a),flip(a)]. 13215 L(x,y,y) * ((z * z) / y) = x / (z \ (z \ y)). [para(4(a,1),13214(a,1,1)),flip(a)]. 13216 L(x,y,y) \ (z * (z * (x * u))) = (u / (z \ (z \ x))) * L(x,y,y). [para(13215(a,1),8864(a,1,1)),flip(a)]. 13217 x \ ((L(x,y,y) * z) * (u * u)) = (z / (u \ (u \ x))) * L(x,y,y). [hyper(58,a,8645,a(flip),b,13216,a)]. 13218 x \ (y * (y * (L(x,z,z) * u))) = (u / (y \ (y \ x))) * L(x,z,z). [para(2956(a,1),13217(a,1,2))]. 13219 (x * ((y * y) / L(z,u,u))) / (1 / L(z,u,u)) = a(z,u,u) * ((x / (y \ (y \ z))) * L(z,u,u)). [para(13218(a,1),6491(a,2,2))]. 13220 L(x \ T(y,x),x * y,x * y) \ 1 = T(y \ x,y / ((x * y) \ 1)). [hyper(12463,a,13189,a)]. 13221 T(x \ y,x / ((y * x) \ 1)) = (((y \ T(x,y)) \ 1) \ 1) \ 1. [para(13186(a,1),13220(a,1,1)),flip(a)]. 13222 T(x \ y,x / ((y * x) \ 1)) = 1 / (y \ T(x,y)). [hyper(272,a,2826,a(flip),b,13221,a),flip(a)]. 13223 T(x \ y,x * (y * x)) = 1 / (y \ T(x,y)). [hyper(6109,a,13222,a)]. 13224 T(x \ y,x * (x * y)) = 1 / (y \ T(x,y)). [hyper(58,a,11794,a(flip),b,13223,a)]. 13225 T(x,(y * ((y \ 1) \ z)) * (u \ (1 / (z \ T(y,z))))) = T(x,z * (z * (T(u,y * (y * z)) \ y))). [para(13224(a,1),12805(a,1,2,2,2))]. 13226 T((x * K(y,y \ 1)) * z,x * K(y,y \ 1)) = z / (((y * x) \ 1) * y). [para(5795(a,1),13200(a,2,2))]. 13227 x * (x * (y / (1 / (x * y)))) = (x * x) * ((y * x) * y). [para(6162(a,1),13203(a,1,2)),flip(a)]. 13228 (x * (y * (x * y))) * y = (y * y) * ((x * y) * x). [hyper(58,a,7585,a(flip),b,13227,a)]. 13229 (1 / x) * ((x * x) * ((y * x) * y)) = T(y * (x * (y * x)),x \ 1). [hyper(114,a,13228,a(flip),b,2791,a)]. 13230 T(x * (y * (x * y)),y \ 1) = ((y \ 1) \ 1) * ((x * y) * x). [hyper(58,a,5151,a(flip),b,13229,a),flip(a)]. 13231 ((x \ 1) \ 1) * ((y * x) * y) = x * (y / (1 / (x * y))). [hyper(58,a,7580,a(flip),b,13230,a),flip(a)]. 13232 (((x \ 1) \ 1) \ 1) * (((1 / y) * (x \ 1)) * (1 / y)) = ((y \ ((1 / ((x \ 1) * (1 / y))) \ 1)) \ x) \ 1. [hyper(272,a,4904,a,b,13231,a),flip(a)]. 13233 T(x * (y * K(z,z \ 1)),x * K(z,z \ 1)) = y / (((z * x) \ 1) * z). [para(2129(a,1),13226(a,1,1))]. 13234 T(x * (y * K(z,z \ 1)),x) = y / (((z * x) \ 1) * z). [hyper(58,a,3644,a(flip),b,13233,a)]. 13235 (x * K(y,y \ 1)) / (z \ 1) = x / (((y * z) \ 1) * y). [hyper(2916,a,13234,a)]. 13237 K(x,x \ 1) * (y / (z \ 1)) = y / (((x * z) \ 1) * x). [hyper(58,a,2117,a(flip),b,13235,a)]. 13238 (x / (y \ 1)) * K(z,z \ 1) = x / (((z * y) \ 1) * z). [hyper(1638,a,13237,a)]. 13239 (x / (((y / z) \ 1) \ 1)) * K(z * z,(z * z) \ 1) = x / ((((z * (y \ z)) * z) \ 1) * (z * z)). [para(2911(a,1),13238(a,2,2,1,1))]. 13240 L(T(x,y * (T(y,z) / u)),u * K(y,z),u * K(y,z)) = T(x,y \ ((y \ u) * K(y,z))). [para(5690(a,1),13208(a,1,1,2,2))]. 13241 T(x,y \ ((y \ z) * K(y,u))) = L(T(x,y * (T(y,u) / z)),z,z). [hyper(58,a,11365,a(flip),b,13240,a),flip(a)]. 13243 L(T(x,y * (T(y,z) / u)),u,u) = T(x,y \ (T(y,z) \ u)). [hyper(58,a,11385,a(flip),b,13241,a),flip(a)]. 13244 ((x \ ((1 / ((y \ 1) * (1 / x))) \ 1)) \ y) \ 1 = ((1 / x) * ((1 / y) * (1 / x))) * (y \ 1). [para(4725(a,1),13202(a,2,1))]. 13245 ((x \ ((1 / ((y \ 1) * (1 / x))) \ 1)) \ y) \ 1 = (x \ ((1 / y) / x)) * (y \ 1). [para(3830(a,1),13244(a,2,1))]. 13246 ((x \ ((y \ 1) * (1 / x))) \ y) \ 1 = (x \ ((1 / y) / x)) * (y \ 1). [para(74(a,1),13245(a,1,1,1,2))]. 13247 ((x \ (((x \ 1) \ y) \ 1)) \ y) \ 1 = (x \ ((1 / y) / x)) * (y \ 1). [para(4125(a,1),13245(a,1,1,1,2,1))]. 13249 (((x \ (y \ 1)) / x) \ y) \ 1 = (x \ ((1 / y) / x)) * (y \ 1). [para(3530(a,1),13246(a,1,1,1))]. 13250 (((x * y) \ (1 / y)) \ x) \ 1 = (y \ ((1 / x) / y)) * (x \ 1). [para(4858(a,1),13249(a,1,1,1))]. 13251 (x \ 1) * ((1 / y) / ((y \ 1) \ x)) = (y \ ((1 / x) / y)) * (x \ 1). [hyper(58,a,4904,a(flip),b,13247,a)]. 13252 (x \ ((1 / y) / x)) * (y \ 1) = (y \ 1) * ((x \ (1 / y)) / x). [para(5156(a,1),13251(a,1,2)),flip(a)]. 13253 (((x * y) \ (1 / y)) \ x) \ 1 = (x \ 1) * ((y \ (1 / x)) / y). [hyper(58,a,13250,a,b,13252,a)]. 13254 (x * ((y * y) / L(z,u,u))) / (1 / L(z,u,u)) = (x / (y \ (y \ z))) * L(L(z,u,u),u,u). [hyper(272,a,10330,a(flip),b,13219,a),flip(a)]. 13255 (x * ((y * y) / L(z,u,u))) / (1 / L(z,u,u)) = (x / (y \ (y \ z))) * z. [para(2965(a,1),13254(a,2,2))]. 13256 (x * ((y * y) / z)) / (1 / z) = (x / (y \ (y \ z))) * z. [hyper(58,a,9593,a(flip),b,13255,a)]. 13257 x \ (y * (y * (x * z))) = (z / (y \ (y \ x))) * x. [hyper(58,a,6489,a(flip),b,13256,a)]. 13258 T(x,(y * ((y \ 1) \ z)) * (u \ (T(y,z) \ z))) = T(x,z * (z * (T(u,y * (y * z)) \ y))). [hyper(58,a,9612,a(flip),b,13225,a)]. 13259 T(x,(y * ((y \ 1) \ z)) * (u \ (z / y))) = T(x,z * (z * (T(u,y * (y * z)) \ y))). [hyper(58,a,8710,a(flip),b,13258,a)]. 13260 T(x,y * (y * (T(z,u * (u * y)) \ u))) = T(x,(u * (u * y)) * (z \ (y / u))). [hyper(58,a,8673,a(flip),b,13259,a),flip(a)]. 13261 T(x,y * (y * (T(z,u * (u * y)) \ u))) = T(x,u * (u * (y * (z \ (y / u))))). [hyper(272,a,11904,a(flip),b,13260,a),flip(a)]. 13262 T(x,y * (y * (T(z,u * (u * y)) \ u))) = T(x,y * (z \ (y * u))). [hyper(272,a,12770,a(flip),b,13261,a),flip(a)]. 13263 (((x / y) * (1 / z)) \ 1) * K(y * y,(y * y) \ 1) = z / ((((y * (x \ y)) * y) \ 1) * (y * y)). [para(4132(a,1),13239(a,1,1))]. 13264 (((x / y) * (1 / z)) \ 1) * a(y,y,y * y) = z / ((((y * (x \ y)) * y) \ 1) * (y * y)). [para(4245(a,1),13263(a,1,2))]. 13265 x / ((((y * (z \ y)) * y) \ 1) * (y * y)) = (((z / y) * (1 / x)) \ 1) * 1. [para(3377(a,1),13264(a,1,2)),flip(a)]. 13266 x / ((((y * (z \ y)) * y) \ 1) * (y * y)) = ((z / y) * (1 / x)) \ 1. [hyper(272,a,3,a(flip),b,13265,a),flip(a)]. 13268 x / ((y \ ((z \ y) \ (y \ 1))) * (y * y)) = ((z / y) * (1 / x)) \ 1. [para(4349(a,1),13266(a,1,2,1))]. 13269 x / (y * (y * (y \ ((z \ y) \ (y \ 1))))) = ((z / y) * (1 / x)) \ 1. [para(2956(a,1),13268(a,1,2))]. 13270 x / (y * ((z \ y) \ (y \ 1))) = ((z / y) * (1 / x)) \ 1. [para(5(a,1),13269(a,1,2,2))]. 13272 ((x / y) * (1 / z)) \ 1 = z / (y \ ((x \ y) \ y)). [para(4358(a,1),13270(a,1,2)),flip(a)]. 13273 a(x,y,z * (((u / w) * (1 / T(v5,v5 \ (w \ ((u \ w) \ w))))) \ 1)) = a(x,y,z * ((w \ ((u \ w) \ w)) \ v5)). [para(13272(a,2),9273(a,1,3,2))]. 13274 ((x \ ((1 / ((y \ 1) * (1 / x))) \ 1)) \ y) \ 1 = (1 / y) * (((1 / x) * (y \ 1)) * (1 / x)). [para(2826(a,1),13232(a,1,1)),flip(a)]. 13275 ((x \ ((1 / ((y \ 1) * (1 / x))) \ 1)) \ y) \ 1 = (1 / y) * ((x \ (y \ 1)) / x). [para(757(a,1),13274(a,2,2))]. 13276 ((x \ ((1 / ((y \ 1) * (1 / x))) \ 1)) \ y) \ 1 = (1 / y) * ((y * x) \ (1 / x)). [para(4858(a,1),13275(a,2,2))]. 13277 ((x \ ((y \ 1) * (1 / x))) \ y) \ 1 = (1 / y) * ((y * x) \ (1 / x)). [para(74(a,1),13276(a,1,1,1,2))]. 13279 (((x \ (y \ 1)) / x) \ y) \ 1 = (1 / y) * ((y * x) \ (1 / x)). [para(3530(a,1),13277(a,1,1,1))]. 13280 (((x * y) \ (1 / y)) \ x) \ 1 = (1 / x) * ((x * y) \ (1 / y)). [para(4858(a,1),13279(a,1,1,1))]. 13281 (1 / x) * ((x * y) \ (1 / y)) = (x \ 1) * ((y \ (1 / x)) / y). [hyper(58,a,13253,a(flip),b,13280,a),flip(a)]. 13282 (1 / x) * ((x * y) \ (1 / y)) = x \ ((x * y) \ (1 / y)). [hyper(272,a,12700,a(flip),b,13281,a),flip(a)]. 13283 x \ ((1 / x) * (((y \ (1 / x)) / y) * x)) = ((1 / x) * (x \ ((x * y) \ (1 / y)))) * x. [para(13282(a,1),12704(a,1,1,2)),flip(a)]. 13284 x \ ((1 / x) * (((y \ (1 / x)) / y) * x)) = ((x * x) \ ((x * y) \ (1 / y))) * x. [para(3261(a,1),13283(a,2,1))]. 13285 x \ ((1 / x) * (((y \ (1 / x)) / y) * x)) = (x \ (x \ ((y \ (1 / x)) / y))) * x. [para(9439(a,1),13284(a,2,1))]. 13286 x \ ((1 / x) * (((y \ (1 / x)) / y) * x)) = x * ((x \ ((y \ (1 / x)) / y)) / x). [hyper(272,a,2828,a(flip),b,13285,a),flip(a)]. 13287 x \ ((1 / x) * (((y \ (1 / x)) / y) * x)) = x * (x \ (x \ (y \ ((1 / x) / y)))). [para(9435(a,1),13286(a,2,2))]. 13288 x \ ((1 / x) * (((y \ (1 / x)) / y) * x)) = x \ (y \ ((1 / x) / y)). [hyper(272,a,5,a(flip),b,13287,a),flip(a)]. 13290 x \ ((1 / x) * (x * (y \ ((x \ 1) / y)))) = x \ (y \ ((1 / x) / y)). [para(9441(a,1),13288(a,1,2,2))]. 13291 x \ L(y \ ((x \ 1) / y),x,x) = x \ (y \ ((1 / x) / y)). [para(3118(a,1),13290(a,1,2))]. 13292 (x \ 1) * (y \ ((x \ 1) / y)) = x \ (y \ ((1 / x) / y)). [hyper(3130,a,13291,a)]. 13293 T(x,(y * (z * z)) * (z \ (u \ ((1 / z) / u)))) = T(x,y * (T(z,z \ 1) * (u \ ((z \ 1) / u)))). [para(13292(a,1),12147(a,1,2,2))]. 13294 T(x,(y * (z * z)) / (((u * z) * u) * z)) = T(x,y * (T(z,z \ 1) * (u \ ((z \ 1) / u)))). [hyper(58,a,9851,a(flip),b,13293,a)]. 13295 T(x,(y * (z * z)) / (z * (u * (z * u)))) = T(x,y * (T(z,z \ 1) * (u \ ((z \ 1) / u)))). [para(6710(a,1),13294(a,1,2,2))]. 13296 T(x,y \ (z \ (y \ (z \ (u * (y * y)))))) = T(x,u * (T(y,y \ 1) * (z \ ((y \ 1) / z)))). [hyper(58,a,12678,a(flip),b,13295,a)]. 13297 T(x,y \ (z \ (y \ (z \ (u * (y * y)))))) = T(x,u * (T(y,y \ 1) / ((z * y) * z))). [hyper(272,a,10118,a(flip),b,13296,a),flip(a)]. 13298 T(x,y \ (z \ (y \ (z \ (u * (y * y)))))) = T(x,u * (T(y,y \ 1) / (z * (y * z)))). [hyper(272,a,8840,a(flip),b,13297,a),flip(a)]. 13299 T(x,y \ (z \ (y \ (z \ (u * (y * y)))))) = T(x,u * (T(y,1) / (z * (y * z)))). [hyper(272,a,9737,a(flip),b,13298,a),flip(a)]. 13300 T(x,y \ (z \ (y \ (z \ (u * (y * y)))))) = T(x,u * (y / (z * (y * z)))). [para(182(a,1),13299(a,2,2,2,1))]. 13301 T(x,y \ (z \ (y \ (z \ (u * (y * y)))))) = T(x,u * (((z * y) * z) \ y)). [para(6715(a,1),13300(a,2,2,2))]. 13302 T(x,y \ (z \ (y \ (z \ (u * (y * y)))))) = T(x,u * ((z * (y * z)) \ y)). [hyper(272,a,8664,a(flip),b,13301,a),flip(a)]. 13303 T(x,y \ (z \ (y \ (z \ (u * (y * y)))))) = T(x,z \ (T(z,y) \ u)). [hyper(272,a,11660,a(flip),b,13302,a),flip(a)]. 13304 T(x,y \ (z \ (y \ (z \ (y * (y * u)))))) = T(x,z \ (T(z,y) \ u)). [para(2956(a,1),13303(a,1,2,2,2,2,2))]. 13305 a(x,y,z * (((u / w) * (1 / T(v5,v5 \ (w \ ((w \ u) * w))))) \ 1)) = a(x,y,z * ((w \ ((u \ w) \ w)) \ v5)). [para(9761(a,1),13273(a,1,3,2,1,2,2))]. 13306 a(x,y,z * (((u / w) * (1 / T(v5,v5 \ (w \ (w * (u / w)))))) \ 1)) = a(x,y,z * ((w \ ((u \ w) \ w)) \ v5)). [para(2828(a,1),13305(a,1,3,2,1,2,2,2,2,2))]. 13307 a(x,y,z * ((u \ ((w \ u) \ u)) \ v5)) = a(x,y,z * (((w / u) * (1 / T(v5,v5 \ (w / u)))) \ 1)). [para(4(a,1),13306(a,1,3,2,1,2,2,2,2)),flip(a)]. 13309 a(x,y,z * ((u \ ((w \ u) \ u)) \ v5)) = a(x,y,z * (((w / u) * T(v5 \ 1,w / u)) \ 1)). [para(3448(a,1),13307(a,2,3,2,1,2))]. 13310 a(x,y,z * ((u \ ((w \ u) \ u)) \ v5)) = a(x,y,z * (((v5 \ 1) * (w / u)) \ 1)). [para(98(a,1),13309(a,2,3,2,1))]. 13311 a(x,y,z * ((u \ ((w \ u) \ u)) \ v5)) = a(x,y,z / ((v5 \ 1) * (w / u))). [hyper(272,a,9240,a(flip),b,13310,a),flip(a)]. 13312 a(x,y,z * ((u \ ((w \ u) \ u)) \ v5)) = a(x,y,z * ((w / u) \ (1 \ v5))). [hyper(272,a,10050,a(flip),b,13311,a),flip(a)]. 13313 a(x,y,z * ((u \ ((w \ u) \ u)) \ v5)) = a(x,y,z * ((w / u) \ v5)). [para(60(a,1),13312(a,2,3,2,2))]. 13314 a(x,y,z * ((((u \ w) \ w) \ w) * v5)) = a(x,y,z * ((u / w) \ v5)). [hyper(10035,a,13313,a)]. 13315 a(x,y,z * ((u / w) \ v5)) = a(x,y,z * ((w / u) * v5)). [para(2826(a,1),13314(a,1,3,2,1)),flip(a)]. 13316 x * a(x,y,z * ((u / w) * v5)) = R(x,y,z * ((w / u) \ v5)). [hyper(114,a,13315,a(flip),b,12967,a(flip))]. 13317 R(x,y,z * ((u / w) \ v5)) = R(x,y,z * ((w / u) * v5)). [hyper(12985,a,13316,a),flip(a)]. 13318 R(x,y,z * (u / (w \ 1))) = R(x,y,z * ((u / 1) * w)). [hyper(58,a,13080,a,b,13317,a)]. 13319 R(x,y,z / L(u / w,u,u)) = R(x,y,z * ((w / 1) * (1 / u))). [hyper(58,a,8761,a,b,13317,a)]. 13320 R(x,y,z * (u / (w \ 1))) = R(x,y,z * (u * w)). [para(70(a,1),13318(a,2,3,2,1))]. 13321 R(x,y,z * (u * (1 / w))) = R(x,y,z * (u / w)). [para(74(a,1),13320(a,1,3,2,2)),flip(a)]. 13322 R(x,y,z / L(u / w,u,u)) = R(x,y,z * (w * (1 / u))). [para(70(a,1),13319(a,2,3,2,1))]. 13323 R(x,y,z * (u * (1 / w))) = R(x,y,z / (w / u)). [hyper(58,a,9471,a(flip),b,13322,a),flip(a)]. 13325 R(x,y,z / (u / w)) = R(x,y,z * (w / u)). [hyper(58,a,13321,a(flip),b,13323,a),flip(a)]. 13326 ((x / y) * (y * (1 / z))) / ((y \ 1) * (1 / (z / y))) = L(R(x,y \ 1,1 * (y / z)),y,y). [para(13325(a,1),9601(a,2,1))]. 13327 ((x / y) * (y * (1 / z))) / ((y \ 1) * (1 / (z / y))) = L(R(x,y \ 1,y / z),y,y). [para(2(a,1),13326(a,2,1,3))]. 13328 ((x / y) * (y * (1 / z))) / ((y \ 1) * (1 / (z / y))) = L(L(x,y * z,y \ 1),y,y). [para(13066(a,1),13327(a,2,1))]. 13329 ((x / y) * (y * (1 / z))) / (1 / L(z,y,y)) = L(L(x,y * z,y \ 1),y,y). [para(4187(a,1),13328(a,1,2))]. 13330 x \ ((L(x,y,y) * (z / y)) * y) = L(L(z,y * x,y \ 1),y,y). [hyper(58,a,8644,a(flip),b,13329,a)]. 13331 L(L(x,y * z,y \ 1),y,y) = z \ (y \ ((y * z) * x)). [para(3121(a,1),13330(a,1,2)),flip(a)]. 13332 L(L(x,(y \ 1) * z,(y \ 1) \ 1),y \ 1,y \ K(y \ 1,y)) = z \ ((y \ 1) \ (((y \ 1) * z) * x)). [hyper(58,a,9287,a,b,13331,a)]. 13333 x \ (y \ ((y * x) * (z * z))) = L(z * z,y * x,y \ 1). [hyper(58,a,3382,a(flip),b,13331,a),flip(a)]. 13334 L(L(x,y * z,(z * z) \ 1),z * z,z * z) = (y / z) \ ((z * z) \ (((z * z) * (y / z)) * x)). [para(3251(a,1),13331(a,1,1,2))]. 13335 L(L(L(x,y * z,z \ 1),z * (y / z),z \ 1),z,z) = (y / z) \ (z \ ((z \ 1) * ((y * z) * x))). [para(3577(a,1),13331(a,2,2,2))]. 13336 x \ (y \ (z * (z * (y * x)))) = L(z * z,y * x,y \ 1). [para(2956(a,1),13333(a,1,2,2))]. 13337 x \ ((x / (y \ (y \ z))) * z) = L(y * y,z * x,z \ 1). [para(13257(a,1),13336(a,1,2))]. 13338 L(L(x,y * z,z \ (z \ 1)),z * z,z * z) = (y / z) \ ((z * z) \ (((z * z) * (y / z)) * x)). [para(3080(a,1),13334(a,1,1,3))]. 13339 (x / y) \ ((y * y) \ (((y * y) * (x / y)) * z)) = L(z,x * y,y \ (y \ 1)). [hyper(4398,a,13338,a),flip(a)]. 13341 (x / y) \ ((y * y) \ ((x * y) * z)) = L(z,x * y,y \ (y \ 1)). [para(3251(a,1),13339(a,1,2,2,1))]. 13342 L(L(L(x,y * z,z \ 1),y,T(z \ 1,z)),z,z) = (y / z) \ (z \ ((z \ 1) * ((y * z) * x))). [para(12469(a,1),13335(a,1,1))]. 13343 L(L(L(x,y * z,z \ 1),y,1 / z),z,z) = (y / z) \ (z \ ((z \ 1) * ((y * z) * x))). [para(2775(a,1),13342(a,1,1,3))]. 13344 L(L(L(x,y * z,z \ 1),y,z \ 1),z,z) = (y / z) \ (z \ ((z \ 1) * ((y * z) * x))). [para(2449(a,1),13343(a,1,1))]. 13345 L(L(L(x,y * z,z \ 1),y,z \ 1),z,z) = (y / z) \ ((z * z) \ ((y * z) * x)). [para(3525(a,1),13344(a,2,2))]. 13346 L(L(L(x,y * z,z \ 1),y,z \ 1),z,z) = L(x,y * z,z \ (z \ 1)). [hyper(272,a,13341,a(flip),b,13345,a),flip(a)]. 13347 L(L(x,(y \ 1) * z,y),y \ 1,y \ K(y \ 1,y)) = z \ ((y \ 1) \ (((y \ 1) * z) * x)). [para(2452(a,1),13332(a,1,1))]. 13348 L(L(x,y \ z,y),y \ 1,y \ K(y \ 1,y)) = z \ ((y \ 1) \ (((y \ 1) * z) * x)). [para(9218(a,1),13347(a,1,1))]. 13349 L(L(x,y \ z,y),y \ 1,y \ 1) = z \ ((y \ 1) \ (((y \ 1) * z) * x)). [hyper(58,a,9287,a(flip),b,13348,a)]. 13350 L(L(x,y \ z,y),y,y) = z \ ((y \ 1) \ (((y \ 1) * z) * x)). [hyper(4235,a,13349,a)]. 13351 L(L(x,y \ z,y),y,y) = z \ ((z * (x * y)) / y). [para(7048(a,1),13350(a,2,2))]. 13352 L(L(x,y,z / y),z / y,z / y) = z \ ((z * (x * (z / y))) / (z / y)). [para(74(a,1),13351(a,1,1,2))]. 13353 L(L(x,T(y,z * x) \ z,T(y,z * x)),T(y,z * x),T(y,z * x)) = z \ ((L(y,x,z) * (z * x)) / T(y,z * x)). [para(547(a,1),13351(a,2,2,1))]. 13354 L(L(x,y,y \ z),z / y,z / y) = z \ ((z * (x * (z / y))) / (z / y)). [para(8953(a,1),13352(a,1,1))]. 13355 L(L(x,y,y \ z),y \ z,y \ z) = z \ ((z * (x * (z / y))) / (z / y)). [hyper(10541,a,13354,a)]. 13356 L(L(x,y,y \ z),z * y,z * y) = z \ ((z * (x * (z / y))) / (z / y)). [hyper(58,a,13181,a(flip),b,13355,a)]. 13357 L(L(x,T(y,z * x) \ z,T(y,z)),T(y,z * x),T(y,z * x)) = z \ ((L(y,x,z) * (z * x)) / T(y,z * x)). [para(11111(a,1),13353(a,1,1))]. 13358 L(L(x,y / T(z,y * x),z),T(z,y * x),T(z,y * x)) = y \ ((L(z,x,y) * (y * x)) / T(z,y * x)). [para(12471(a,1),13357(a,1,1))]. 13359 T((1 / (x \ y)) * (1 / (x \ y)),((y / x) \ 1) * y) \ z = (x \ y) * (L(1 / (x \ y),1 / (x \ y),y) \ z). [hyper(533,a,10557,a),flip(a)]. 13361 T((1 / (x \ y)) * (1 / (x \ y)),((y / x) \ 1) * y) \ z = (x \ y) * (L(1 / (x \ y),y,1 / (x \ y)) \ z). [para(10354(a,2),13359(a,2,2,1))]. 13362 T((1 / (x \ y)) * (1 / (x \ y)),((y / x) \ 1) * y) \ z = (x \ y) * (L(1 / (x \ y),y,1 * (y \ x)) \ z). [para(9113(a,1),13361(a,2,2,1))]. 13363 T((1 / (x \ y)) * (1 / (x \ y)),((y / x) \ 1) * y) \ z = (x \ y) * (L(1 / (x \ y),y,y \ x) \ z). [para(2(a,1),13362(a,2,2,1,3))]. 13364 T((1 / (x \ y)) * (1 / (x \ y)),((y / x) \ 1) * y) \ z = (x \ y) * ((1 / L(x \ y,y,x \ y)) \ z). [para(10530(a,1),13363(a,2,2,1))]. 13365 T((1 / (x \ y)) * (1 / (x \ y)),((y / x) \ 1) * y) \ z = (x \ y) * ((1 / ((y \ x) \ 1)) \ z). [para(10378(a,1),13364(a,2,2,1,2))]. 13366 T((1 / (x \ y)) * (1 / (x \ y)),((y / x) \ 1) * y) \ z = (x \ y) * ((y \ x) \ z). [para(72(a,1),13365(a,2,2,1))]. 13368 T((x \ y) * (x \ y),((x / y) \ 1) * x) \ z = (y \ x) * ((x \ y) \ z). [para(6222(a,1),13366(a,1,1,1))]. 13369 T((x \ y) * (x \ y),x * (1 / (y \ x))) \ z = (y \ x) * ((x \ y) \ z). [para(3425(a,1),13368(a,1,1,2))]. 13370 T((x \ y) * (x \ y),x * (1 * (x \ y))) \ z = (y \ x) * ((x \ y) \ z). [para(9643(a,1),13369(a,1,1))]. 13371 T((x \ y) * (x \ y),x * (x \ y)) \ z = (y \ x) * ((x \ y) \ z). [para(2(a,1),13370(a,1,1,2,2))]. 13372 T((x \ y) * (x \ y),y) \ z = (y \ x) * ((x \ y) \ z). [para(5(a,1),13371(a,1,1,2))]. 13373 ((x / (x \ y)) \ y) \ z = (y \ x) * ((x \ y) \ z). [para(4374(a,1),13372(a,1,1))]. 13374 (x \ y) \ (((x / (x \ y)) \ y) * z) = (y \ x) \ z. [hyper(285,a,13373,a),flip(a)]. 13375 ((x / (x \ y)) \ y) \ (z * (y / (x / (x \ y)))) = (x \ y) \ ((y \ x) \ z). [para(13374(a,1),7623(a,2,2))]. 13376 ((x / (x \ y)) \ y) \ (z * ((x \ y) * (x \ y))) = (x \ y) \ ((y \ x) \ z). [para(3272(a,1),13375(a,1,2,2))]. 13377 (x \ y) * ((y \ x) \ (z * ((y \ x) * (y \ x)))) = (y \ x) \ ((x \ y) \ z). [hyper(58,a,13373,a(flip),b,13376,a)]. 13378 (x \ y) \ ((y \ x) \ z) = (y \ x) * ((x \ y) * z). [para(2840(a,1),13377(a,1,2)),flip(a)]. 13379 (x \ y) \ ((y \ x) \ T(z,y \ x)) = (y \ x) * (z / ((x \ y) \ 1)). [para(4463(a,1),13378(a,2,2))]. 13380 (x \ y) \ (z * ((y \ x) \ 1)) = (y \ x) * (z / ((x \ y) \ 1)). [para(2789(a,1),13379(a,1,2))]. 13381 T(T(x,K(y,z * u)),(u * (u * y)) * (u * (z / (u * (u * y))))) = T(x,(u * (u * y)) * (((u * u) \ (y \ u)) * z)). [para(11236(a,1),11954(a,1,1))]. 13382 T(T(x,K(y,z * u)),u * (((u * y) * u) * (z / (u * (u * y))))) = T(x,(u * (u * y)) * (((u * u) \ (y \ u)) * z)). [hyper(58,a,11858,a(flip),b,13381,a)]. 13384 T(T(x,K(y,z * u)),T(z * u,u * y)) = T(x,(u * (u * y)) * (((u * u) \ (y \ u)) * z)). [hyper(58,a,12001,a(flip),b,13382,a)]. 13385 T(x,(y * (y * z)) * (((y * y) \ (z \ y)) * u)) = T(x,T(T(u * y,y * z),z)). [hyper(58,a,10946,a(flip),b,13384,a),flip(a)]. 13386 T(x,(y * (y * z)) * (((y * y) \ (z \ y)) * u)) = T(x,T(T(u * y,z),y * z)). [para(18(a,1),13385(a,2,2))]. 13387 T(x,(y * (y * z)) * ((y \ (y \ (z \ y))) * u)) = T(x,T(T(u * y,z),y * z)). [hyper(58,a,8571,a(flip),b,13386,a)]. 13388 T(x,(y * (y * z)) * ((z \ (y \ 1)) * u)) = T(x,T(T(u * y,z),y * z)). [para(4355(a,1),13387(a,1,2,2,1))]. 13389 T(x,(y * (y * z)) * ((y * z) \ u)) = T(x,T(T(u * y,z),y * z)). [hyper(58,a,9646,a(flip),b,13388,a)]. 13390 T(x,(y * z) * (((y * z) \ y) * u)) = T(x,T(T(u * y,z),y * z)). [hyper(58,a,11473,a(flip),b,13389,a)]. 13391 T(x,T(T(y * z,u),z * u)) = T(x,(z * u) * (u \ y)). [hyper(58,a,9648,a(flip),b,13390,a),flip(a)]. 13393 T(x,T(T(y * z,u),z * u)) = T(x,u * ((u \ z) * y)). [hyper(272,a,11473,a(flip),b,13391,a),flip(a)]. 13394 T(x,T(T(y * z,u),u * z)) = T(x,u * ((u \ z) * y)). [hyper(10928,a,13393,a)]. 13395 T(x,T(T(y * z,T(u \ w,v5)),T(u \ w,v5) * z)) = T(x,T(w \ u,v5) \ ((T(u \ w,v5) \ z) * y)). [hyper(272,a,11571,a,b,13394,a),flip(a)]. 13396 T(x,T(y * (T(z,u) / y),u * (z / y))) = T(x,u * ((u \ (z / y)) * y)). [para(2184(a,1),13394(a,1,2,1))]. 13397 T(x,T(T((y \ z) * (u / (y \ z)),w),w * (u * (1 / (z \ y))))) = T(x,w * ((w \ (u * (1 / (z \ y)))) * (z \ y))). [para(8704(a,1),13394(a,1,2,1,1))]. 13398 T(x,T(T(y * (z * ((u * w) * w)),v5),v5 * (z * (u * (w * w))))) = T(x,v5 * ((v5 \ (z * ((u * w) * w))) * y)). [para(8713(a,1),13394(a,1,2))]. 13399 T(x,y * (T(T(z,u),u * (z / y)) / y)) = T(x,u * ((u \ (z / y)) * y)). [para(2184(a,1),13396(a,1,2))]. 13400 T(x,T(T(T(y,z),z * (y / u)),u)) = T(x,z * ((z \ (y / u)) * u)). [hyper(8555,a,13399,a)]. 13401 T(x,T(T(T(y,z),u),z * (y / u))) = T(x,z * ((z \ (y / u)) * u)). [para(18(a,1),13400(a,1,2))]. 13402 T(x,T(T(T(y,z),u),z * (y * u))) = T(x,z * ((z \ (y / u)) * u)). [hyper(58,a,11813,a(flip),b,13401,a)]. 13403 T(x,T(T(T(y,z),u),z * (y * u))) = T(x,L(y,z,u)). [hyper(272,a,11934,a(flip),b,13402,a),flip(a)]. 13404 T(x,T(T(y * z,T(u \ w,v5)),z * (u \ w))) = T(x,T(w \ u,v5) \ ((T(u \ w,v5) \ z) * y)). [hyper(58,a,11401,a(flip),b,13395,a)]. 13406 T(x,T(T(y * z,T(u \ w,v5)),z * (u * w))) = T(x,T(w \ u,v5) \ ((T(u \ w,v5) \ z) * y)). [hyper(58,a,11788,a(flip),b,13404,a)]. 13407 T(x,T(T(y * z,u \ w),z * (u * w))) = T(x,T(w \ u,v5) \ ((T(u \ w,v5) \ z) * y)). [hyper(11500,a,13406,a)]. 13408 T(x,T(T(y * z,u * w),z * (u * w))) = T(x,T(w \ u,v5) \ ((T(u \ w,v5) \ z) * y)). [hyper(58,a,11237,a(flip),b,13407,a)]. 13409 T(x,T(y \ z,u) \ ((T(z \ y,u) \ w) * v5)) = T(x,(z * y) * (((z * y) \ w) * v5)). [hyper(58,a,13393,a(flip),b,13408,a),flip(a)]. 13410 T(x,T(y \ z,u) * ((T(y \ z,u) \ w) * v5)) = T(x,(y * z) * (((y * z) \ w) * v5)). [hyper(11572,a,13409,a)]. 13411 T(x,(y \ z) * (((y \ z) \ u) * w)) = T(x,(y * z) * (((y * z) \ u) * w)). [hyper(58,a,12031,a(flip),b,13410,a)]. 13412 T(x,(y * z) * (((y * z) \ u) * (u \ w))) = T(x,L(w,y \ z,u)). [hyper(58,a,11937,a(flip),b,13411,a),flip(a)]. 13413 T(x,L(y,z \ u,w)) = T(x,L(y,z * u,w)). [hyper(58,a,11937,a(flip),b,13412,a),flip(a)]. 13414 T(x,L(y,z * (z * u),w)) = T(x,L(y,u,w)). [para(4(a,1),13413(a,1,2,2)),flip(a)]. 13415 T(x * (x * y),L(z,y,u)) = T(x * (x * y),z). [hyper(8065,a,13414,a),flip(a)]. 13416 T(x * (x * y),L(z,u,y)) = T(x * (x * y),z). [hyper(58,a,10730,a,b,13415,a)]. 13417 T(x,T(T(y * (z * ((u * w) * w)),z),u * (w * w))) = T(x,z * ((z \ (z * ((u * w) * w))) * y)). [hyper(11215,a,13398,a)]. 13418 T(x,T(T(y * (z * ((u * w) * w)),z),u)) = T(x,z * ((z \ (z * ((u * w) * w))) * y)). [hyper(11230,a,13417,a)]. 13419 T(x,T((y * z) * T((u * w) * w,y),u)) = T(x,y * ((y \ (y * ((u * w) * w))) * z)). [hyper(11983,a,13418,a)]. 13421 T(x,y * ((y \ (y * ((z * u) * u))) * w)) = T(x,u * (u * (T(z,y) * (y * w)))). [hyper(58,a,12818,a(flip),b,13419,a),flip(a)]. 13422 T(x,y * (y * (T(z,u) * (u * w)))) = T(x,u * (((z * y) * y) * w)). [para(4(a,1),13421(a,1,2,2,1)),flip(a)]. 13424 T(x,T((y \ z) * (T(u,w) / (y \ z)),w * (u * (1 / (z \ y))))) = T(x,w * ((w \ (u * (1 / (z \ y)))) * (z \ y))). [para(2184(a,1),13397(a,1,2,1))]. 13425 T(x,T((y \ z) * (T(u,w) / (y \ z)),w * (u * (1 * (y \ z))))) = T(x,w * ((w \ (u * (1 / (z \ y)))) * (z \ y))). [para(9603(a,1),13424(a,1,2))]. 13426 T(x,T((y \ z) * (T(u,w) / (y \ z)),w * (u * (y \ z)))) = T(x,w * ((w \ (u * (1 / (z \ y)))) * (z \ y))). [para(2(a,1),13425(a,1,2,2,2,2))]. 13427 T(x,(y \ z) * (T(T(u,w),w * (u * (y \ z))) / (y \ z))) = T(x,w * ((w \ (u * (1 / (z \ y)))) * (z \ y))). [para(2184(a,1),13426(a,1,2))]. 13428 T(x,T(T(T(y,z),z * (y * (u \ w))),u \ w)) = T(x,z * ((z \ (y * (1 / (w \ u)))) * (w \ u))). [hyper(8555,a,13427,a)]. 13429 T(x,T(T(T(y,z),u \ w),z * (y * (u \ w)))) = T(x,z * ((z \ (y * (1 / (w \ u)))) * (w \ u))). [para(18(a,1),13428(a,1,2))]. 13430 T(x,T(T(T(y,z),u \ w),z * (y * (u * w)))) = T(x,z * ((z \ (y * (1 / (w \ u)))) * (w \ u))). [hyper(58,a,11965,a(flip),b,13429,a)]. 13431 T(x,T(T(T(y,z),u * w),z * (y * (u * w)))) = T(x,z * ((z \ (y * (1 / (w \ u)))) * (w \ u))). [hyper(58,a,11237,a(flip),b,13430,a)]. 13432 T(x,y * ((y \ (z * (1 / (u \ w)))) * (u \ w))) = T(x,L(z,y,w * u)). [hyper(58,a,13403,a(flip),b,13431,a),flip(a)]. 13433 T(x,y * ((y \ (z / (u \ w))) * (u \ w))) = T(x,L(z,y,w * u)). [hyper(58,a,9932,a(flip),b,13432,a)]. 13434 T(x,L(y,z,u \ w)) = T(x,L(y,z,w * u)). [hyper(58,a,11934,a(flip),b,13433,a)]. 13435 x \ T(x,L(y,z,u * w)) = K(x,L(y,z,w \ u)). [hyper(112,a,13434,a(flip),b,2674,a(flip))]. 13436 K(x,L(y,z,u \ w)) = K(x,L(y,z,w * u)). [hyper(2691,a,13435,a),flip(a)]. 13437 K(x,L(y,z,u \ w)) != v5 | K(x,L(y,z,w * u)) = v5. [para(13435(a,1),2691(a,1))]. 13438 K(x,L(y,z,(u \ w) \ u)) = K(x,L(y,z,w)). [para(5(a,1),13436(a,2,2,3))]. 13439 K(x,L(y,z,(u * (w * v5)) * (u * w))) = K(x,L(y,z,L(v5,w,u))). [para(13(a,2),13436(a,1,2,3)),flip(a)]. 13440 K(x,L(y,z,(u * w) * w)) = K(x,L(y,z,T(u,w))). [para(17(a,2),13436(a,1,2,3)),flip(a)]. 13441 K(x,L(y,z,((u * (w / v5)) * v5) \ v5)) = K(x,L(y,z,((1 / v5) \ u) * w)). [para(108(a,1),13436(a,2,2,3))]. 13442 K(x,L(y,z,u * w)) * K(x,y) = a(x,w \ u,K(y,z)). [para(13436(a,1),10636(a,1,1))]. 13443 K(x,L(y,z,(u \ w) * w)) = K(x,L(y,z,u)). [para(3295(a,1),13438(a,1,2,3))]. 13444 K(x,L(y,z,u / w)) = K(x,L(y,z,w * u)). [para(74(a,1),13443(a,1,2,3,1)),flip(a)]. 13445 K(x,L(y,z,(u * w) * w)) = K(x,L(y,z,u)). [hyper(272,a,11007,a(flip),b,13440,a),flip(a)]. 13447 K(x,L(y,z,u * (u * w))) = K(x,L(y,z,w)). [para(8964(a,1),13445(a,1,2))]. 13448 a(x,y \ z,K(u,w)) = a(x,z * y,K(u,w)). [hyper(10686,a,13442,a),flip(a)]. 13449 a(x,y \ z,K(u,w)) != v5 | a(x,z * y,K(u,w)) = v5. [para(13442(a,1),10686(a,1))]. 13450 a(x,T(1 / y,L(z,u,w)),K(z * (a(z,u,w) \ y),v5)) = a(x,y * a(z,u,w),K(z,v5)). [hyper(58,a,13167,a,b,13448,a)]. 13451 a(x,y / z,K(u,w)) = a(x,y * z,K(u,w)). [hyper(58,a,12176,a,b,13448,a)]. 13452 a(x,y * a(y,z,u),K(w,v5)) = a(v5,x,K(y,w)). [hyper(58,a,12252,a(flip),b,13448,a),flip(a)]. 13453 a(x,y * (z * y),K(u,w)) = a(w,x,K(z,u)). [hyper(58,a,12182,a(flip),b,13448,a),flip(a)]. 13454 a(x,y,K(z,u * (w * u))) = a(x,y,K(w,z)). [hyper(58,a,10639,a(flip),b,13453,a)]. 13455 a(x,y,K(z,u * (w * u))) = a(x,y,K(z,w)). [para(28(a,1),13454(a,2,3))]. 13456 a(x,y,K(z,u \ w)) = a(x,y,K(z,w * u)). [para(11535(a,1),13455(a,1,3))]. 13457 a(x,y,K(z,u \ (w / v5))) = a(x,y,K(z,(u \ w) * v5)). [hyper(58,a,12262,a(flip),b,13456,a)]. 13458 a(x,y,K(z,u \ (w / v5))) = a(x,y,K(z,w * (u * v5))). [hyper(58,a,12258,a(flip),b,13456,a)]. 13459 x * a(x \ 1,y,K(z,u * w)) = L(x,K(z,w \ u),y). [hyper(114,a,13456,a(flip),b,1181,a(flip))]. 13460 a(x,y,K(z,(u * (w / v5)) \ K(v5,v5 \ w))) = a(x,y,K(z,(v5 \ w) * T(u,w / v5))). [para(4589(a,1),13456(a,2,3,2))]. 13461 a(x,y / z,K(u,w)) != v5 | a(x,y * z,K(u,w)) = v5. [para(12176(a,2),13449(a,1))]. 13464 a(x,y,K(z,(u \ w) * v5)) = a(x,y,K(z,w * (u * v5))). [hyper(58,a,13457,a(flip),b,13458,a)]. 13465 a(x,y,K(z,(u / w) * v5)) = a(x,y,K(z,u * (v5 * w))). [hyper(58,a,13456,a(flip),b,13458,a)]. 13466 x * a(y,z,K(x,u * w)) = L(x,K(y,w \ u),z). [para(10598(a,1),13459(a,1,2))]. 13467 L(x,K(y,z \ u),w) = L(x,u * z,K(y,w)). [hyper(58,a,10708,a(flip),b,13466,a),flip(a)]. 13468 L(x,K(y,z \ u),w) = L(x,u * z,K(w,y)). [para(28(a,1),13467(a,2,3))]. 13469 L(x,y \ z,K(u,w)) = L(x,z * y,K(u,w)). [hyper(58,a,10745,a(flip),b,13468,a)]. 13470 L(L(x,y,z),u * w,K(y,z)) = L(x,y,T(z,w \ u)). [hyper(10760,a,13469,a),flip(a)]. 13471 L(x,y,T(z,u \ w)) = L(x,y,T(z,w * u)). [hyper(10760,a,13470,a),flip(a)]. 13472 L(x,y,T(z,u \ w)) != v5 | L(x,y,T(z,w * u)) = v5. [para(13470(a,1),10760(a,1))]. 13473 L(x,y,T(z,(u * w) * v5)) = L(x,y,T(z,w * (v5 \ u))). [hyper(12615,a,13471,a),flip(a)]. 13474 a(x,y,K(z,u * (w / v5))) = a(x,y,K(z,u * (v5 * w))). [hyper(58,a,12162,a(flip),b,13464,a)]. 13475 a(x,y,K(z,u * (w * v5))) * a(x,y,z) = T(a(x,y,z),(w \ u) * v5). [para(13464(a,1),10285(a,1,1))]. 13476 a(x,y,K(z,u * (w * v5))) * a(x,y,z) = T(a(x,y,z),(u / v5) * w). [para(13465(a,1),10285(a,1,1))]. 13477 L(x,y,T(z,u * (w \ v5))) = L(x,y,T(z,u * (w * v5))). [hyper(58,a,11818,a(flip),b,13473,a),flip(a)]. 13478 L(x,y,T(z,L(x,y,z) * (x * u))) \ x = T(L(x,y,z) \ x,u). [para(13477(a,1),10851(a,1,1))]. 13479 L(x,y,T(z,x * (L(x,y,z) * u))) \ x = T(L(x,y,z) \ x,u). [para(1270(a,1),13478(a,1,1,3,2))]. 13480 L(x,y,T(z,L(x,y,z) * u)) \ x = T(L(x,y,z) \ x,u). [para(11110(a,1),13479(a,1,1))]. 13481 L(x,y,T(z,L(x,y,z) * u)) \ x = L(x,y,T(z,u)) \ x. [hyper(272,a,10773,a(flip),b,13480,a),flip(a)]. 13482 (L(x,y,z) * u) \ (x * u) = L(x,y,T(z,u)) \ x. [hyper(58,a,10850,a(flip),b,13481,a)]. 13483 (L(x,y,z) * u) \ (x * u) = a(T(z,u),y,x). [hyper(272,a,12322,a,b,13482,a),flip(a)]. 13484 (L(x,y,z) * u) \ (x * u) = a(z,T(y,u),x). [hyper(272,a,11095,a(flip),b,13483,a),flip(a)]. 13485 T(a(x,y,z),(u \ w) * v5) = T(a(x,y,z),w * (u * v5)). [hyper(10286,a,13475,a),flip(a)]. 13486 T(a(x,y,z),u * (w / v5)) = T(a(x,y,z),u * (v5 * w)). [hyper(58,a,11874,a(flip),b,13485,a)]. 13487 T(a(x,y,z),u * (u * w)) = T(a(x,y,z),w). [para(151(a,1),13485(a,1,2)),flip(a)]. 13488 T(a(x,y,z),u * (w \ v5)) = T(a(x,y,z),u * (w * v5)). [hyper(58,a,11784,a(flip),b,13487,a),flip(a)]. 13489 T(a(x,y,z),u * (T(u,w) * v5)) = T(a(x,y,z),v5). [hyper(58,a,12261,a(flip),b,13486,a),flip(a)]. 13490 T(a(x,y,z),u * (w * u)) = T(a(x,y,z),w). [para(2778(a,1),13489(a,1,2,2))]. 13491 a(x,T(y,z * (u * z)),w) = T(a(x,y,w),u). [hyper(12272,a,13490,a)]. 13492 T(a(x * y,z,x),y * z) = a(x * y,z,x). [hyper(10625,a,13490,a),flip(a)]. 13493 a(x,T(y,z * (u * z)),w) = a(x,T(y,u),w). [hyper(272,a,12271,a,b,13491,a),flip(a)]. 13494 a(x * y,T(z,y * z),x) = a(x * y,z,x). [hyper(12272,a,13492,a)]. 13495 a(x,y,T(z,u * (w * u))) = a(x,T(y,w),z). [hyper(58,a,12373,a(flip),b,13493,a)]. 13496 a(x * y,T(z,y),x) = a(x * y,z,x). [hyper(9023,a,13494,a)]. 13497 a(x * y,z,y) = a(y * x,z,y). [hyper(58,a,11102,a(flip),b,13496,a)]. 13498 a(x * y,z,x) = a(x,x \ y,z). [hyper(13041,a,13497,a),flip(a)]. 13499 a(x,y,T(z,u * (w * u))) = a(x,y,T(z,w)). [hyper(272,a,12373,a(flip),b,13495,a),flip(a)]. 13500 T(a(x,y,z),(u / w) * v5) = T(a(x,y,z),u * (w * v5)). [hyper(58,a,11940,a,b,13488,a)]. 13501 T(a(x,y,z),(u / T(w,v5)) * v6) = a(z,x,K(y,u * (v6 * w))) * a(x,y,z). [para(12658(a,1),13476(a,1,1)),flip(a)]. 13502 K(x,L(y,z,u \ ((w * (v5 / u)) \ u))) = K(x,L(y,z,((1 / u) \ w) * v5)). [para(9073(a,1),13441(a,1,2))]. 13503 K(x,L(y,z,((u * (w / v5)) \ v5) * v5)) = K(x,L(y,z,((1 / v5) \ u) * w)). [hyper(13437,a,13502,a)]. 13504 K(x,L(y,z,u * (u / (w * (v5 / u))))) = K(x,L(y,z,((1 / u) \ w) * v5)). [para(8942(a,1),13503(a,1,2))]. 13505 K(x,L(y,z,u * (u * ((u / w) / v5)))) = K(x,L(y,z,((1 / u) \ v5) * w)). [para(11642(a,1),13504(a,1,2))]. 13506 K(x,L(y,z,((1 / u) \ w) * v5)) = K(x,L(y,z,(u / v5) / w)). [hyper(58,a,13447,a(flip),b,13505,a),flip(a)]. 13508 K(x,L(y,z,((1 / u) \ w) * v5)) = K(x,L(y,z,w * (u / v5))). [hyper(272,a,13444,a(flip),b,13506,a),flip(a)]. 13509 K(x,L(y,z,(u * w) * v5)) = K(x,L(y,z,w * (u / v5))). [para(9043(a,1),13508(a,1,2))]. 13510 K(x,L(y,z,(u * w) * (v5 / (v5 * u)))) = K(x,L(y,z,L(w,u,v5))). [hyper(58,a,13439,a(flip),b,13509,a),flip(a)]. 13511 K(x,L(y,z,(u * w) / T(u,v5))) = K(x,L(y,z,L(w,u,v5))). [para(9068(a,1),13510(a,1,2))]. 13512 K(x,L(y,z,T(u,w) * K(w,v5))) = K(x,L(y,z,L(u,w,v5))). [para(3998(a,1),13511(a,1,2,3))]. 13513 K(x,L(y,z,u * (w / T(u,v5)))) = K(x,L(y,z,L(w,u,v5))). [para(8991(a,1),13512(a,1,2))]. 13514 K(x,L(y,z,K(u,w) * v5)) = K(x,L(y,z,L(v5,u,w))). [hyper(58,a,11066,a(flip),b,13513,a)]. 13515 K(x,L(y,z,L(u,w,v5))) = K(x,L(y,z,u)). [hyper(58,a,11607,a(flip),b,13514,a),flip(a)]. 13516 K(x,L(y,L(z,u,w),v5)) = K(x,L(y,v5,z)). [hyper(10685,a,13515,a)]. 13518 T(a(x,y,z),(u / T(w,v5)) * v6) = T(a(x,y,z),u * (v6 * w)). [hyper(272,a,10651,a(flip),b,13501,a),flip(a)]. 13519 T(a(x,y,z),u * (T(w,v5) * v6)) = T(a(x,y,z),u * (v6 * w)). [hyper(58,a,13500,a(flip),b,13518,a)]. 13520 a(x,T(y,z * (T(u,w) * v5)),v6) = T(a(x,y,v6),z * (v5 * u)). [hyper(12272,a,13519,a)]. 13521 a(x,T(y,z * (T(u,w) * v5)),v6) = a(x,T(y,z * (v5 * u)),v6). [hyper(272,a,12271,a,b,13520,a),flip(a)]. 13522 a(x,y,T(z,u * (T(w,v5) * v6))) = a(x,T(y,u * (v6 * w)),z). [hyper(58,a,12373,a(flip),b,13521,a)]. 13523 a(x,y,T(z,u * (T(w,v5) * v6))) = a(x,y,T(z,u * (v6 * w))). [hyper(272,a,12373,a(flip),b,13522,a),flip(a)]. 13524 a(x,K(y,z \ 1) * u,T(w,z * (u * z))) = a(x,K(y,z \ 1) * u,T(w,z * z)). [hyper(58,a,12590,a(flip),b,13523,a),flip(a)]. 13525 a(x,y,K(z,(u * (w / v5)) \ K(w,v5))) = a(x,y,K(z,(v5 \ w) * T(u,w / v5))). [para(8530(a,1),13460(a,1,3))]. 13526 a(x,y,K(z,(u / w) \ (v5 \ K(u,w)))) = a(x,y,K(z,(w \ u) * T(v5,u / w))). [hyper(58,a,12241,a(flip),b,13525,a)]. 13527 a(x,y,K(z,(u / w) * (v5 \ K(w,u)))) = a(x,y,K(z,(u \ w) * T(v5,w / u))). [para(8606(a,1),13526(a,1,3))]. 13528 a(x,y,K(z,(u \ w) * T(v5,w / u))) = a(x,y,K(z,u * ((v5 \ K(w,u)) * w))). [hyper(58,a,13465,a(flip),b,13527,a),flip(a)]. 13529 a(x,y,K(z,(u \ w) * T(v5,w / u))) = a(x,y,K(z,u * (K(w,u) * (v5 \ w)))). [para(12736(a,1),13528(a,2,3))]. 13530 a(x,y,K(z,(u \ w) * T(v5,w / u))) = a(x,y,K(z,T(u,w) * (v5 \ w))). [para(2661(a,1),13529(a,2,3,2))]. 13531 a(x,y,K(z,(u \ w) * T(v5,w / u))) = a(x,y,K(z,w * (u / T(v5,w)))). [para(11898(a,1),13530(a,2,3))]. 13532 a(x,y,K(z,(u \ w) * T(v5,w / u))) = a(x,y,K(z,w * (T(v5,w) * u))). [hyper(272,a,13474,a(flip),b,13531,a),flip(a)]. 13533 a(x,y,K(z,(u \ w) * T(v5,w / u))) = a(x,y,K(z,v5 * (w * u))). [para(11900(a,1),13532(a,2,3))]. 13534 a(x,y,K(z,(u \ w) * T(v5,u \ w))) = a(x,y,K(z,v5 * (w * u))). [para(11344(a,1),13533(a,1,3))]. 13535 a(x,y,K(z,u * (w \ v5))) = a(x,y,K(z,u * (v5 * w))). [para(98(a,1),13534(a,1,3,2))]. 13537 a(x,K(y,z \ 1) * u,T(w,z * z)) = a(x,K(y,z \ 1) * u,T(w,u)). [hyper(58,a,13499,a(flip),b,13524,a),flip(a)]. 13539 a(x,K(y,z \ 1) * u,T(w,z * z)) = a(x,u * K(y,z \ 1),w). [hyper(272,a,12383,a(flip),b,13537,a),flip(a)]. 13540 a(x,K(y,z \ 1) * u,T(w,z * z)) = a(x,u * K(y,z),w). [hyper(272,a,9337,a(flip),b,13539,a),flip(a)]. 13541 a(x,K(y,z \ 1) * u,L(w,z,z)) = a(x,u * K(y,z),w). [para(2952(a,1),13540(a,1,3))]. 13542 a(x,K(y,z \ 1) * u,w) = a(x,u * K(y,z),w). [hyper(58,a,9247,a(flip),b,13541,a)]. 13543 a(x,y * K(z,x),u) = a(x,y,u). [hyper(11090,a,13542,a),flip(a)]. 13545 a(x,y * K(x,z),u) = a(x,y,u). [para(28(a,1),13543(a,1,2,2))]. 13546 a(x,y / T(x,z),u) = a(x,x \ y,u). [hyper(58,a,9031,a(flip),b,13545,a)]. 13548 L(x,T(y,z) \ u,T(y,z)) = a(y,y \ u,T(x,z)) \ x. [para(13546(a,1),12429(a,1,1)),flip(a)]. 13549 L(x,T(y,z) \ u,T(y,z)) = L(x,y \ u,T(y,z)). [hyper(272,a,12372,a(flip),b,13548,a),flip(a)]. 13551 L(x,T(y,z) \ u,T(T(y,z),z)) = L(x,y \ u,T(T(y,z),z)). [para(2765(a,1),13549(a,1,2,1)),flip(a)]. 13552 L(x,T(1 / y,z) \ u,z / (z * y)) = L(x,(1 / y) \ u,T(1 / y,z)). [para(3031(a,1),13549(a,1,3))]. 13553 L(x,T(y,z) \ u,T(T(y,z),z)) = L(x,y \ u,y). [para(2765(a,1),13551(a,2,3))]. 13554 L(x,T(y,z) \ u,y) = L(x,y \ u,y). [para(2765(a,1),13553(a,1,3))]. 13555 R(x,y,z \ (T(y,u) \ 1)) = L(x,y \ z,y). [hyper(58,a,13161,a,b,13554,a)]. 13556 L(x,y / T(z,u),z) = L(x,z \ y,z). [hyper(58,a,11685,a,b,13554,a)]. 13558 L(L(x,y \ z,y),T(y,z * x),T(y,z * x)) = z \ ((L(y,x,z) * (z * x)) / T(y,z * x)). [para(13556(a,1),13358(a,1,1))]. 13560 L(x,y \ (K(y \ 1,z) / u),y) = L(x,y \ (1 / u),y). [hyper(58,a,13162,a(flip),b,13555,a)]. 13562 L(x,y \ (K(y \ 1,z) / u),y) = R(x,y,y \ u). [hyper(272,a,8885,a(flip),b,13560,a),flip(a)]. 13563 L(x,y \ (K(z,y \ 1) / u),y) = R(x,y,y \ u). [para(28(a,1),13562(a,1,2,2,1))]. 13564 L(x,y \ (z \ K(y,u)),y) = R(x,y,y \ z). [hyper(58,a,11691,a(flip),b,13563,a)]. 13565 L(x,T(1 / y,z) \ u,z \ (y \ z)) = L(x,(1 / y) \ u,T(1 / y,z)). [hyper(58,a,8975,a(flip),b,13552,a)]. 13566 a(x,T(1 / y,L(z,u,w)),K(v5,z * (a(z,u,w) \ y))) = a(x,y * a(z,u,w),K(z,v5)). [para(28(a,1),13450(a,1,3))]. 13567 a(x,T(1 / y,L(z,u,w)),K(v5,z * (y * a(z,u,w)))) = a(x,y * a(z,u,w),K(z,v5)). [hyper(58,a,13535,a(flip),b,13566,a)]. 13568 a(x,1 / y,T(K(z,u * (y * a(u,w,v5))),L(u,w,v5))) = a(x,y * a(u,w,v5),K(u,z)). [hyper(58,a,12373,a(flip),b,13567,a)]. 13569 a(x,1 / y,K(z,T(u * (y * a(u,w,v5)),L(u,w,v5)))) = a(x,y * a(u,w,v5),K(u,z)). [para(5238(a,2),13568(a,1,3))]. 13570 a(x,1 / y,K(z,T(u * (y * a(u,w,v5)),u))) = a(x,y * a(u,w,v5),K(u,z)). [para(11009(a,1),13569(a,1,3))]. 13571 a(x,1 / y,K(z,(y * a(u,w,v5)) * u)) = a(x,y * a(u,w,v5),K(u,z)). [para(6064(a,1),13570(a,1,3))]. 13573 a(x,1 / y,K(z,y * (u * a(u,w,v5)))) = a(x,y * a(u,w,v5),K(u,z)). [para(12947(a,1),13571(a,1,3,2))]. 13574 a(x,1 * y,K(z,y * (u * a(u,w,v5)))) = a(x,y * a(u,w,v5),K(u,z)). [hyper(13461,a,13573,a)]. 13575 a(x,y,K(z,y * (u * a(u,w,v5)))) = a(x,y * a(u,w,v5),K(u,z)). [para(2(a,1),13574(a,1,2))]. 13576 a(x,y * a(z,u,w),K(z,v5)) = a(v5,z * a(z,u,w),K(x,y)). [hyper(58,a,10668,a(flip),b,13575,a),flip(a)]. 13577 a(x,y * a(z,u,w),K(z,v5)) = a(v5,z * a(z,u,w),K(y,x)). [para(28(a,1),13576(a,2,3))]. 13578 a(x,y * a(z,u,w),K(z,v5)) = a(x,v5,K(z,y)). [hyper(272,a,13452,a(flip),b,13577,a),flip(a)]. 13580 L(L(x,y \ z,y),y,y) = z \ ((L(y,x,z) * (z * x)) / T(y,z * x)). [hyper(6181,a,13558,a)]. 13583 L(L(x,y \ z,y),y,y) = z \ (a(z,x,y) \ (z * x)). [para(12414(a,1),13580(a,2,2))]. 13584 L(L(x,y \ z,y),y,y) = a(z,x,y) \ x. [hyper(272,a,12959,a(flip),b,13583,a),flip(a)]. 13585 a(x,y,z) \ y = x \ ((x * (y * z)) / z). [hyper(58,a,13351,a(flip),b,13584,a),flip(a)]. 13586 L(L(x,y,z),z,z) = a(z * y,x,z) \ x. [para(4(a,1),13584(a,1,1,2))]. 13587 L(x,y,y) != a(z,u,y) \ u | L(u,y \ z,y) = x. [para(13584(a,1),45(a,1)),flip(a)]. 13588 L(L(x,T(y,z),(1 / y) * z),(1 / y) * z,(1 / y) * z) = a(z,x,(1 / y) * z) \ x. [para(2261(a,2),13584(a,1,1,2))]. 13589 L(L(x,T(y \ 1,z) \ u,(y * z) \ z),(y * z) \ z,(y * z) \ z) = a(u,x,(y * z) \ z) \ x. [para(2280(a,2),13584(a,1,1,2))]. 13590 L(L(x,(y \ (z * z)) \ z,z * z),z * z,z * z) = a((y \ 1) \ z,x,z * z) \ x. [para(4041(a,1),13584(a,1,1,2))]. 13591 L(L(x,y \ z,(z * z) \ y),(z * z) \ y,(z * z) \ y) = a(1 / z,x,(z * z) \ y) \ x. [para(4631(a,1),13584(a,1,1,2))]. 13592 L(R(x,y,z \ 1),y,y) = a(y \ z,x,y) \ x. [para(10443(a,1),13584(a,1,1))]. 13593 L(L(x,y,z),z,z) = a(z,z \ y,x) \ x. [para(13498(a,1),13586(a,2,1))]. 13594 L(L(x,y,z),z,z) = L(x,z \ y,z). [hyper(272,a,12338,a,b,13593,a),flip(a)]. 13595 L(L(x,y,z),z,z) != u | L(x,z \ y,z) = u. [para(13593(a,2),12351(a,1))]. 13596 L(a(x,y,z),u \ w,u) = L(a(x,y,z),w,u). [hyper(58,a,10271,a(flip),b,13594,a),flip(a)]. 13597 L(x * x,y \ z,y) = L(x * x,z,y). [hyper(58,a,3382,a(flip),b,13594,a),flip(a)]. 13598 x \ ((x * ((y * y) / z)) / (1 / z)) = L(y * y,x,1 / z). [hyper(58,a,1174,a,b,13597,a)]. 13599 L(R(x,y,z),y,y) = a(y \ (z \ 1),x,y) \ x. [para(2619(a,1),13592(a,1,1))]. 13600 L(R(x,y,z),y,y) = R(x,y,z * y). [hyper(272,a,12968,a(flip),b,13599,a),flip(a)]. 13601 L(R(x,y,z),y,y) != u | R(x,y,z * y) = u. [para(13599(a,2),12999(a,1))]. 13602 x \ ((x / (y \ (y \ z))) * z) = L(y * y,x,1 / z). [para(13256(a,1),13598(a,1,2))]. 13603 L(L(x,T(y,z),y \ z),(1 / y) * z,(1 / y) * z) = a(z,x,(1 / y) * z) \ x. [para(8939(a,1),13588(a,1,1))]. 13604 L(L(x,y,y \ z),(1 / y) * z,(1 / y) * z) = a(z,x,(1 / y) * z) \ x. [para(9996(a,1),13603(a,1,1))]. 13605 L(L(x,y,y \ z),y \ z,y \ z) = a(z,x,(1 / y) * z) \ x. [hyper(58,a,9207,a(flip),b,13604,a)]. 13606 L(L(x,y,y \ z),z * y,z * y) = a(z,x,(1 / y) * z) \ x. [hyper(58,a,13181,a(flip),b,13605,a)]. 13607 L(L(x,((y * y) \ z) * y,y * y),y * y,y * y) = a((z \ 1) \ y,x,y * y) \ x. [para(9981(a,1),13590(a,1,1))]. 13608 L(L(x,y / z,z * z),z * z,z * z) = a((y \ 1) \ z,x,z * z) \ x. [para(3250(a,1),13607(a,1,1,2))]. 13609 L(L(x,y \ z,y * y),y * y,y * y) = a((z \ 1) \ y,x,y * y) \ x. [para(12477(a,1),13608(a,1,1))]. 13610 a((x \ 1) \ y,z,y * y) \ z = L(z,y \ x,y * y). [hyper(4398,a,13609,a),flip(a)]. 13612 L(L(x,y \ z,z \ (z \ y)),(z * z) \ y,(z * z) \ y) = a(1 / z,x,(z * z) \ y) \ x. [para(8938(a,1),13591(a,1,1))]. 13613 L(R(x,y,y \ z),(z * z) \ y,(z * z) \ y) = a(1 / z,x,(z * z) \ y) \ x. [para(13084(a,1),13612(a,1,1))]. 13614 L(R(x,y,y \ z),z \ (z \ y),z \ (z \ y)) = a(1 / z,x,(z * z) \ y) \ x. [hyper(58,a,9296,a(flip),b,13613,a)]. 13615 L(R(x,y,y \ z),(z \ y) * z,(z \ y) * z) = a(1 / z,x,(z * z) \ y) \ x. [hyper(58,a,13181,a(flip),b,13614,a)]. 13616 L(R(x,y,y \ z),z * (y / z),(z \ y) * z) = a(1 / z,x,(z * z) \ y) \ x. [para(2828(a,1),13615(a,1,2))]. 13617 L(R(x,y,y \ z),z * (y / z),T(y,z)) = a(1 / z,x,(z * z) \ y) \ x. [hyper(58,a,8982,a(flip),b,13616,a)]. 13618 L(R(x,y,y \ z),y,y) = a(1 / z,x,(z * z) \ y) \ x. [hyper(9227,a,13617,a)]. 13619 R(x,y,(y \ z) * y) = a(1 / z,x,(z * z) \ y) \ x. [hyper(13601,a,13618,a)]. 13621 R(x,y,y * (z / y)) = a(1 / z,x,(z * z) \ y) \ x. [para(2828(a,1),13619(a,1,3))]. 13622 R(x,y,T(z,y)) = a(1 / z,x,(z * z) \ y) \ x. [hyper(58,a,8772,a(flip),b,13621,a)]. 13623 R(x,y,z) = a(1 / z,x,(z * z) \ y) \ x. [hyper(58,a,8091,a(flip),b,13622,a)]. 13624 R(x,y,z) = a(1 / z,x,z \ (z \ y)) \ x. [para(9246(a,1),13623(a,2,1))]. 13625 R(x,y,z) = a(z \ 1,x,(z \ y) / z) \ x. [para(12430(a,1),13624(a,2,1))]. 13626 R(x,y,z) = a(z \ 1,x,z \ (y / z)) \ x. [para(9241(a,1),13625(a,2,1))]. 13627 R(x,y,z) = a(y \ 1,z,x) \ x. [para(13087(a,1),13626(a,2,1))]. 13628 R(x,y,z) = L(x,z,y \ 1). [hyper(272,a,12338,a,b,13627,a),flip(a)]. 13629 R(x,y,z) = x * a(z,x,y). [hyper(272,a,12340,a(flip),b,13627,a),flip(a)]. 13630 a(x,y,z) = y \ R(y,z,x). [hyper(112,a,13627,a,b,12340,a(flip)),flip(a)]. 13632 x \ ((x / (y \ (y \ z))) * z) = R(y * y,z,z * x). [hyper(272,a,13337,a,b,13628,a)]. 13633 R(x,y,z) = L(x,z,z \ (y \ z)). [hyper(272,a,9074,a,b,13628,a),flip(a)]. 13634 R(x,y,z) = L(x,z,1 / y). [hyper(272,a,2449,a,b,13628,a),flip(a)]. 13635 R(R(x,y,z),y,z \ (y \ 1)) = L(x,y,y). [hyper(272,a,10027,a(flip),b,13628,a),flip(a)]. 13636 L(x,y,z \ (u \ 1)) = R(x,u * z,y). [hyper(272,a,9100,a(flip),b,13628,a)]. 13637 R(x,y \ z,u) = L(x,u,z \ y). [hyper(272,a,9097,a(flip),b,13628,a),flip(a)]. 13638 (x * R(y,z,u)) \ (x * y) = a(z \ 1,u,y). [para(13628(a,2),12426(a,1,1,2))]. 13639 x \ R(x,y,z) != u | a(z,x,y) = u. [para(13628(a,2),12405(a,1,2))]. 13640 L(L(R(x,y,z * y),z,y \ 1),y,y) = L(x,z * y,y \ (y \ 1)). [para(13628(a,2),13346(a,1,1,1))]. 13641 a(x,y,z) = a(z,x,y). [hyper(12989,a,13629,a)]. 13642 a(x,y \ z,u \ 1) = a(x,z \ y,u). [hyper(12454,a,13641,a)]. 13643 a(x,y \ 1,z) = a(x,y,z \ 1). [hyper(12453,a,13641,a),flip(a)]. 13644 a(x \ 1,y,z) = a(z \ 1,x,y). [hyper(12403,a,13641,a),flip(a)]. 13645 a(x,y \ z,u \ 1) = a(u,x,z \ y). [hyper(272,a,12400,a,b,13641,a)]. 13647 a(x,y * (z \ y),y) = a(x,z \ 1,y). [hyper(272,a,13025,a(flip),b,13641,a),flip(a)]. 13648 a(x,y,z) = z \ R(z,x,y). [hyper(272,a,12967,a(flip),b,13641,a),flip(a)]. 13650 a(x,y \ 1,z) = a(y,z,x) \ 1. [hyper(272,a,12394,a(flip),b,13641,a),flip(a)]. 13651 a(x,y,z \ 1) = 1 / a(x,y,z). [hyper(272,a,12339,a(flip),b,13641,a),flip(a)]. 13652 a(x,y,z \ 1) = a(x,y,z) \ 1. [hyper(272,a,12320,a(flip),b,13641,a),flip(a)]. 13653 a(x,y,z \ 1) = z \ L(z,y,x). [hyper(272,a,1181,a(flip),b,13641,a),flip(a)]. 13654 x * a(x,y \ z,u) = L(x,u,z \ y). [hyper(114,a,13641,a,b,12392,a)]. 13655 R(x,y,z) = x * a(y,z,x). [hyper(114,a,13641,a,b,12967,a(flip)),flip(a)]. 13656 L(x,y,z) \ 1 = x \ a(y,x,z). [hyper(112,a,13641,a,b,12332,a(flip)),flip(a)]. 13658 a(x,y,z) \ u = a(z,x,y) \ u. [hyper(56,a,13641,a)]. 13659 a(x,y,z \ 1) != u | z \ L(z,y,x) = u. [para(13641(a,2),1187(a,1))]. 13660 a(x,y,z) * L(x,z,y) = x. [para(13641(a,1),12337(a,1,1))]. 13661 L(x,y,z) = a(x,z,y) \ x. [para(13641(a,1),12338(a,2,1))]. 13662 L(x,y,z) = a(y,x,z) \ x. [para(13641(a,2),12338(a,2,1))]. 13663 a(x,y,z) \ x != u | L(x,z,y) = u. [para(13641(a,1),12351(a,1,1))]. 13664 a(x,y,z) \ y != u | L(y,x,z) = u. [para(13641(a,2),12351(a,1,1))]. 13665 (x \ L(x,y,z)) \ u = a(x,z,y) * u. [para(13641(a,1),12325(a,2,1))]. 13667 L(x,y,z) * (x \ u) = a(x,z,y) \ u. [para(13641(a,1),12346(a,2,1))]. 13669 a(x,y,z \ 1) \ u = a(x,y,z) * u. [para(13641(a,2),12359(a,1,1))]. 13672 a(x,y,z) \ (x * u) = L(x,z,y) * u. [para(13641(a,1),12408(a,1,1))]. 13673 x * (a(x,y,z) \ u) = L(x,z,y) * u. [para(13641(a,1),12416(a,1,2,1))]. 13674 x * (a(y,x,z) \ u) = L(x,y,z) * u. [para(13641(a,2),12416(a,1,2,1))]. 13675 (x / L(y,z,u)) * y = x * a(y,u,z). [para(13641(a,1),12425(a,2,2))]. 13676 a(x,y \ 1,z) != u | a(x,y,z \ 1) = u. [para(13641(a,1),12453(a,1))]. 13678 x * (x * (y / L(x * x,z,u))) = y * a(z,x * x,u). [para(13641(a,2),12445(a,2,2))]. 13679 (L(x,y,z) * (a(x,z,y) \ u)) \ (x * u) = a(z,y,x) * a(z,y,x). [para(13641(a,1),12528(a,1,1,2,1))]. 13680 a(x,y,z) \ L(x,u,y) = L(L(x,u,y),z,y). [para(13641(a,1),12942(a,1,1))]. 13681 a(x,y,z) * z != u | R(z,x,y) = u. [para(13641(a,2),12965(a,1,1))]. 13683 L(x,y,z) \ R(x,u,w) = a(x,z,y) * a(x,u,w). [para(13641(a,1),12977(a,2,1))]. 13684 x \ (x \ (y * R(x * x,z,u))) = y * a(z,u,x * x). [para(13641(a,2),13015(a,2,2))]. 13685 a(x,y,z) \ a(u,w,x \ 1) = R(x,y,z) \ L(x,w,u). [para(13641(a,2),13019(a,1,2))]. 13686 a(x,y,z) \ (1 / a(x,u,w)) = R(x,y,z) \ L(x,w,u). [para(13641(a,1),13070(a,1,2,2))]. 13687 a(x,y,z) \ (1 / a(u,x,w)) = R(x,y,z) \ L(x,u,w). [para(13641(a,2),13070(a,1,2,2))]. 13688 a(x,y,z * z) \ (z \ (z \ u)) = u / R(z * z,x,y). [para(13641(a,2),13095(a,1,1))]. 13689 x \ (x \ (y * L(x * x,z,u))) = a(z,x * x,u) \ y. [para(13641(a,2),13138(a,2,1))]. 13690 a(x,y * y,(z \ 1) \ y) \ x = L(x,y \ z,y * y). [para(13641(a,2),13610(a,1,1))]. 13691 a(x,y,z) != u | a(y,z,x) = u. [para(13630(a,2),12990(a,1))]. 13693 a(x,y,z) != u | a(z,x,y) = u. [para(13648(a,2),12990(a,1))]. 13694 R(x,y,z) \ x = x \ L(x,z,y). [para(13655(a,2),12321(a,1,1))]. 13695 x * (y * R(z,x,y)) = (x * y) * z. [para(13655(a,2),12943(a,1,2,2))]. 13696 a(x,y,R(z,x,y)) = a(x,y,z). [para(13655(a,2),12952(a,1,3))]. 13697 L(x,y,x * z) * z = L(x * z,x,y). [hyper(12421,a,13660,a)]. 13699 L(x \ 1,y,z) = L(x,y,z) \ 1. [hyper(272,a,8318,a(flip),b,13661,a),flip(a)]. 13701 L(1 / x,y,z) = 1 / L(x,y,z). [hyper(8153,a,13661,a(flip)),flip(a)]. 13702 (((a(x,y,z) \ 1) * x) * (u * a(x,y,z))) / a(x,y,z) = (1 / a(x,y,z)) \ ((a(x,y,z) \ L(x,z,y)) * u). [para(13661(a,2),3740(a,2,2,1,2))]. 13706 x / (a(x,y,z) * R(x,y,z)) = R(x,y,z) \ L(x,z,y). [para(13661(a,2),13104(a,2,2))]. 13707 a(x,y / a(z,u,x),K(z,u)) \ (y / a(z,u,x)) = a(z,u,x) \ y. [hyper(10720,a,13662,a),flip(a)]. 13708 L(x,T(y,z),z) = a(y,x,z) \ x. [hyper(9536,a,13662,a)]. 13709 L(x,y,z) = R(x,z,y \ 1). [hyper(272,a,12969,a,b,13662,a),flip(a)]. 13710 L(x,y,z) = y \ ((y * (x * z)) / z). [hyper(272,a,13585,a(flip),b,13662,a),flip(a)]. 13711 L(x,y \ (z \ 1),u) = R(x,u,z * y). [hyper(272,a,12968,a(flip),b,13662,a),flip(a)]. 13712 R(x,y,z) = a(z,x,1 / y) \ x. [hyper(58,a,13634,a,b,13662,a)]. 13715 L(x,y \ 1,z \ 1) = L(x,y,z). [hyper(272,a,13628,a(flip),b,13709,a)]. 13716 R(x,y,z / u) = L(x,u / z,y). [hyper(272,a,10418,a(flip),b,13709,a)]. 13717 R(x,y,z) = L(x,z \ 1,y). [hyper(272,a,2619,a(flip),b,13709,a)]. 13718 R(x,y,z) = L(x,1 / z,y). [para(74(a,1),13709(a,2,3)),flip(a)]. 13719 a(x,y,z) \ a(x,u,w \ 1) = R(x,y,z) \ L(x,w,u). [para(13709(a,2),13021(a,2,2))]. 13720 (L(x,y,z) * u) * a(y,x,z) = x * L(u,z,K(x,y)). [para(13709(a,2),13132(a,1,1,1))]. 13721 L(x,(y * z) \ y,u) = R(x,u,z). [hyper(272,a,9988,a,b,13717,a)]. 13722 R(x,y,z \ u) = L(x,u \ z,y). [hyper(272,a,9982,a(flip),b,13717,a),flip(a)]. 13726 a(x,y \ z,u \ 1) != w | a(u,x,z \ y) = w. [para(12400(a,2),13691(a,1))]. 13727 a(x,y * z,u \ 1) != w | a(u,x,z \ (y \ 1)) = w. [para(12399(a,1),13691(a,1))]. 13730 (L(x,y,z) * u) \ (x * u) != w | a(x,z,T(y,u)) = w. [para(13484(a,2),13693(a,1))]. 13731 L(R(x,y,z),z,z) = L(x,z,y \ z). [hyper(58,a,9515,a,b,13637,a)]. 13732 L(x,y,(z * (u * w)) \ (z * w)) = R(x,L(T(u,w),w,z),y). [para(211(a,1),13637(a,1,2)),flip(a)]. 13733 L(x,y,(z / u) \ ((1 / u) * w)) = R(x,(w \ (u * z)) / u,y). [para(777(a,1),13637(a,1,2)),flip(a)]. 13734 a(x,y,x * (z \ x)) = a(y,z,x \ 1). [hyper(58,a,13025,a,b,13643,a)]. 13735 a(x,y,z \ 1) != z \ u | L(z,y,x) = u. [para(13653(a,2),42(a,1))]. 13737 x / R(x,y,z) = x \ L(x,z,y). [hyper(58,a,2401,a,b,13694,a)]. 13738 (x * y) * (L(z,y,x) \ 1) = x * (y * (z \ 1)). [hyper(114,a,13699,a(flip),b,13,a(flip))]. 13739 L(T(x \ 1,y),z,u) = T(L(x,z,u) \ 1,y). [para(13699(a,1),20(a,2,1))]. 13742 L(a(x \ 1,y,z),u,w) = L(a(y,z,x),u,w) \ 1. [para(12320(a,2),13699(a,1,1))]. 13743 L(a(x,y,z \ 1),u,w) = L(a(z,x,y),u,w) \ 1. [para(12394(a,2),13699(a,1,1))]. 13744 L(x,y \ (z * y),y) = a(z,x,y) \ x. [para(17(a,1),13708(a,1,2))]. 13745 L(x,y \ (z \ 1),u \ 1) = L(x,z * y,u). [hyper(10494,a,13715,a)]. 13746 L(x,1 / y,z \ 1) = L(x,y,z). [hyper(58,a,2461,a,b,13715,a)]. 13747 L(x,(y * z) \ y,u) = a(z,x,1 / u) \ x. [hyper(272,a,13712,a(flip),b,13721,a),flip(a)]. 13748 L(x,y \ (z \ 1),z) = L(x,y \ z,z). [hyper(58,a,13126,a,b,13722,a)]. 13749 L(x,y \ z,z) * y = (x * z) * (z \ y). [para(13722(a,1),447(a,1,1))]. 13753 R(x,y,z \ 1) != u | L(x,z,y) = u. [para(12969(a,2),13664(a,1))]. 13754 L(x,T(y,z),z) != u | L(x,y,z) = u. [para(13708(a,2),13664(a,1))]. 13755 R(L(x,y,z),z,y) = x. [hyper(904,a,13695,a(flip))]. 13756 L(R(x,y,z),z,y) = x. [hyper(429,a,13695,a(flip))]. 13757 R(x,y,z) = z \ (y \ ((y * z) * x)). [para(13695(a,1),62(a,1,2,2)),flip(a)]. 13758 (L(x,y,z) * z) * y = x * (z * y). [para(13755(a,1),93(a,1,1)),flip(a)]. 13759 (x * (y * z)) / z = L(x,z,y) * y. [para(13755(a,1),257(a,1,1,1))]. 13760 L(x,y,z) != u | R(u,z,y) = x. [para(13756(a,1),45(a,1)),flip(a)]. 13763 (x * y) \ (x * ((y * (z * u)) / u)) = L(L(z,y,u),y,x). [para(13710(a,2),89(a,1,1)),flip(a)]. 13764 R(x,y,z / u) != w | L(x,u / z,y) = w. [para(10418(a,1),13753(a,1))]. 13766 L(x,y \ z,y) != u | L(x,z / y,y) = u. [para(100(a,1),13754(a,1,2))]. 13771 x \ (y \ (y \ (y \ (y \ (((y * (y * (y * y))) * x) * z))))) = R(z,y * (y * (y * y)),x). [para(6802(a,1),13757(a,2,2)),flip(a)]. 13772 (L(x,y,z) * z) * y != u * (z * y) | x = u. [para(13758(a,2),39(a,1))]. 13773 (x * T(x * y,y)) / x = L(x * y,y,x). [hyper(4618,a,13759,a)]. 13774 ((x * (y * z)) / z) / y != u | L(x,z,y) = u. [para(13759(a,2),279(a,1,1))]. 13775 a(x,y * (z \ y),y) = a(x,z,y \ 1). [hyper(272,a,13643,a(flip),b,13647,a),flip(a)]. 13777 x \ y != a(z,u,w) * y | z \ L(z,w,u) = x. [para(13665(a,1),43(a,1)),flip(a)]. 13778 (x * (a(x,y,z) \ y)) * z = x * (y * z). [para(13673(a,2),13758(a,1,1))]. 13779 a(x,y,z) \ (L(x,u,w) * v5) = L(x,z,y) * (a(x,w,u) \ v5). [para(13673(a,1),13672(a,1,2))]. 13780 x \ L(x * y,y,z) = L(y,z,y * x). [hyper(30,a,2490,a,b,13697,a)]. 13781 a(x,y,a(z,u,x) * (L(x,u,z) * (w \ x))) = a(y,w,x \ 1). [para(12348(a,2),13734(a,1,3))]. 13782 L(L(x,y * z,z),z,z) = a(y,x,z) \ x. [hyper(58,a,13594,a,b,13744,a)]. 13783 R(x,y,y * z) = L(x,z \ y,y). [hyper(58,a,13711,a(flip),b,13748,a)]. 13784 R(x,y,z * y) = L(x,z \ y,y). [hyper(58,a,8756,a,b,13783,a)]. 13785 L(R(x,y,z),(y \ 1) \ z,y) = L(x,y,y). [hyper(58,a,13722,a(flip),b,13635,a)]. 13786 a(x,y,x * (z \ x)) != u | a(y,z,x \ 1) = u. [para(13025(a,2),13676(a,1))]. 13788 x \ (L(x,y \ (z * z),z * z) * y) = ((z * z) * (((z * z) \ y) / x)) * x. [para(13749(a,2),3441(a,1,2))]. 13791 T(T(x * y,y),x) = L(x * y,y,x). [hyper(2785,a,13773,a)]. 13792 L(x * y,y,x) = ((1 / y) / x) \ 1. [hyper(3598,a,13791,a),flip(a)]. 13793 x \ L(x * y,y,x) = x * (((1 / y) * x) \ 1). [para(13792(a,2),3461(a,1,2))]. 13794 (x * L(y,x,z)) * z = x * (y * z). [para(13662(a,2),13778(a,1,1,2))]. 13795 (1 / L(x,x,y)) \ y = x * y. [hyper(12077,a,13794,a)]. 13796 (x * (y * L(z,x * y,u))) * u = (x * y) * (L(z,y,x) * u). [para(361(a,1),13794(a,1,1))]. 13797 L(x,y \ z,y) = L(x,z * y,y). [hyper(13587,a,13782,a)]. 13798 L(L(x,y \ z,z),z,z) = a(1 / y,x,z) \ x. [para(9194(a,1),13782(a,1,1))]. 13799 L(x,y / z,z) = L(x,y * z,z). [hyper(13766,a,13797,a)]. 13800 L(x * x,y * z,z) = L(x * x,y,z). [hyper(58,a,13597,a(flip),b,13797,a),flip(a)]. 13801 L(R(x,y,z),y * z,y) = L(x,y,y). [hyper(9259,a,13785,a)]. 13802 (x * ((x * y) * R(z,x,y))) / T(x * (x * y),R(z,x,y)) = L(z,x,x). [hyper(58,a,8262,a(flip),b,13801,a)]. 13803 (x * R(y,z,u)) \ (x * y) = a(u \ 1,y,z). [hyper(272,a,13644,a,b,13638,a),flip(a)]. 13804 a(x,L(y,z,u),u) = a(y,u,x). [hyper(34,a,13662,a(flip),b,13680,a)]. 13805 R(x,y,z) \ L(x,u,y) = x \ L(L(x,u,y),z,y). [hyper(112,a,13680,a(flip),b,13018,a),flip(a)]. 13806 L(x,y,z) * (a(x,z,u) \ w) = L(L(x,y,z),u,z) * w. [para(13804(a,1),13674(a,1,2,1))]. 13807 L(T((x / y) \ 1,y),z,u) = (y * L(y \ x,z,u)) \ y. [hyper(272,a,2278,a(flip),b,13739,a),flip(a)]. 13809 R(x,y,(y * z) * y) = a(z,x,1 / y) \ x. [hyper(58,a,13784,a,b,13747,a)]. 13810 (x * y) * a(y,z,u) = x * R(y,z,u). [hyper(34,a,12342,a,b,13803,a)]. 13812 (x / y) * R(y,z,u) = x * a(y,z,u). [hyper(278,a,13810,a),flip(a)]. 13814 (x * (y \ 1)) / a(z,u,y) = x * R(y \ 1,z,u). [hyper(58,a,12360,a(flip),b,13810,a)]. 13816 T(a(x,y,z),u) * ((x * x) * T(a(x,y,z),u)) = a(x,y,z) * (x * R(x,y,z)). [para(13810(a,1),6771(a,2,2))]. 13817 a(x,R(y,z,u) \ ((w / y) \ 1),v5) = a(x,(w * a(y,z,u)) \ 1,v5). [para(13812(a,1),9121(a,1,2,1)),flip(a)]. 13818 L(R(x,y,y * z),y,y) = a(z,x,1 / y) \ x. [hyper(58,a,13600,a,b,13809,a)]. 13819 ((x * y) / (x * z)) \ (x * z) = x * (z * ((z \ y) \ 1)). [hyper(4256,a,13738,a)]. 13820 L(x,y,x * y) = y * (((1 / x) * y) \ 1). [hyper(58,a,13780,a(flip),b,13793,a)]. 13821 R(x,y,L(z,u,z * u) * u) = R(x,y,u * ((((1 / z) * u) \ 1) * u)). [para(13820(a,2),8744(a,1,3,1))]. 13822 L(x,y \ (z \ y),y) = a(1 / z,x,y) \ x. [hyper(13595,a,13798,a)]. 13823 L(x,(y \ z) * z,z) = a(1 / y,x,z) \ x. [hyper(58,a,13797,a(flip),b,13822,a)]. 13824 L(x,y * (z \ y),y) = a(1 / z,x,y) \ x. [hyper(9262,a,13823,a)]. 13825 L(x,y * (z \ y),y) = a(x,y,1 / z) \ x. [hyper(272,a,13658,a,b,13824,a),flip(a)]. 13826 L(x,y * (z \ y),y) = a(x,y,z \ 1) \ x. [para(2601(a,1),13825(a,2,1))]. 13827 L(x,y * (z \ y),y) = L(x,z \ 1,y). [hyper(272,a,13661,a,b,13826,a),flip(a)]. 13828 R(x,y,z) = L(x,y * (z \ y),y). [hyper(272,a,13717,a,b,13827,a)]. 13829 L(R(x,y,y * z),1 / y,1 / y) = a(z,x,1 / y) \ x. [hyper(58,a,4237,a,b,13818,a)]. 13830 a(x,y,z) \ a(u,a(x,y,z),w) = L(a(y,z,x \ 1),u,w). [hyper(272,a,13656,a(flip),b,13743,a)]. 13831 R(x,y,z) \ L(x,u,y) = x \ L(L(x,z,y),u,y). [para(25(a,1),13805(a,2,2))]. 13832 (x * (y \ (y \ 1))) / a(z,u,y * y) = x * R((y * y) \ 1,z,u). [para(3080(a,1),13814(a,1,1,2))]. 13833 x \ ((x / (y \ (y \ z))) * z) = L(y * y,x \ z,z). [hyper(272,a,13783,a(flip),b,13632,a),flip(a)]. 13834 (L(x,y,z) * u) * a(x,z,y) = x * L(u,z,K(x,y)). [para(13641(a,2),13720(a,1,2))]. 13835 L(x * x,y \ z,z) = L(x * x,y,1 / z). [hyper(58,a,13602,a(flip),b,13833,a),flip(a)]. 13836 L(x * x,y \ z,z) = R(x * x,z,y). [hyper(272,a,13634,a,b,13835,a),flip(a)]. 13837 L(x,y,z) * (u * a(x,z,y)) = x * L(u,z,K(x,y)). [hyper(58,a,12937,a(flip),b,13834,a)]. 13838 a(x,y,z) \ (1 / a(u,y,w)) = R(y,z,x) \ L(y,u,w). [hyper(58,a,13658,a(flip),b,13687,a)]. 13839 a(x,y * y,z * y) \ x = L(x,y \ z,y * y). [para(9242(a,1),13690(a,1,1))]. 13840 L(x,y \ z,y * y) = L(x,z * y,y * y). [hyper(13663,a,13839,a),flip(a)]. 13841 L(x,(y \ (z \ 1)) * z,z * z) = R(x,z * z,z \ (z \ y)). [hyper(58,a,13099,a(flip),b,13840,a),flip(a)]. 13842 R(x,y,z) \ L(x,z,y) != x / u | a(x,y,z) * R(x,y,z) = u. [para(13706(a,1),40(a,1))]. 13843 (x * L(x \ y,z,u)) \ x = L(y \ x,z,u). [para(2257(a,1),13807(a,1,1)),flip(a)]. 13844 ((x * y) / (x * z)) \ (x * z) = x * ((y / z) \ z). [para(3007(a,1),13819(a,2,2))]. 13845 (x * (y * z)) / (L(z,y,x) \ 1) = x * ((y / (y * z)) \ (y * z)). [hyper(58,a,3514,a(flip),b,13844,a)]. 13846 R(x,y,z) \ L(x,u,y) = R(y,z,x) \ L(y,x,u). [hyper(58,a,13686,a(flip),b,13838,a)]. 13848 L(R(x,T(y,z),K(y,z) * T(u,y)),1 / T(y,z),1 / T(y,z)) = a(u / y,x,1 / T(y,z)) \ x. [para(8773(a,2),13829(a,1,1))]. 13849 a(x,y,a(x,z,u) * (L(x,u,z) * (w \ x))) = a(y,w,x \ 1). [para(13641(a,1),13781(a,1,3,1))]. 13850 ((1 / x) * (1 / y)) \ (((1 / x) * ((1 / y) * L(z,(1 / x) * (1 / y),u))) * u) = T(T(L(z,1 / y,1 / x) * u,x \ (y \ 1)),(1 / x) * (1 / y)). [hyper(359,a,13796,a,b,7541,a),flip(a)]. 13851 R(x,y * y,y \ (y \ z)) = L(x,(y * z) \ y,y * y). [hyper(58,a,10077,a(flip),b,13841,a),flip(a)]. 13852 R(x,y * y,y \ (y \ z)) = R(x,y * y,z). [hyper(272,a,13721,a(flip),b,13851,a),flip(a)]. 13854 L(x,(y \ z) \ y,y * y) = R(x,y * y,z). [hyper(58,a,13722,a(flip),b,13852,a)]. 13855 L(x,(y \ z) * z,z * z) = R(x,z * z,y). [hyper(58,a,9981,a(flip),b,13854,a)]. 13856 R(x,y * y,y * z) = L(x,z \ y,y * y). [para(4(a,1),13854(a,1,2,1)),flip(a)]. 13857 L(x,y * (y / z),y * y) = R(x,y * y,z). [hyper(58,a,9199,a(flip),b,13855,a)]. 13858 R(x,y * y,z * y) = L(x,z \ y,y * y). [hyper(58,a,13034,a,b,13856,a)]. 13861 (x * (y * z)) / (L(z,y,x) \ 1) = x * (y * ((1 / z) \ z)). [para(5174(a,1),13845(a,2,2))]. 13862 (x * y) \ (x * (y * ((1 / z) \ z))) = (1 / L(z,y,x)) \ L(z,y,x). [para(13861(a,1),10166(a,1,2))]. 13863 L(L(L(x,y \ z,z),y,z \ 1),z,z) = L(x,y * z,z \ (z \ 1)). [para(13784(a,1),13640(a,1,1,1))]. 13864 (L(x,y,z) * (a(x,z,y) \ u)) \ (x * u) = a(x,z,y) * a(z,y,x). [para(13641(a,1),13679(a,2,1))]. 13865 a(x,y * a(z,u,x),K(z,u)) \ (y / a(z,u,x)) = a(z,u,x) \ y. [para(13451(a,1),13707(a,1,1))]. 13866 (x \ (x \ y)) / a(z,u,x * x) = y * R((x * x) \ 1,z,u). [para(4382(a,1),13832(a,1,1))]. 13867 a(x,y,z * z) \ (z \ (z \ u)) = u * R((z * z) \ 1,x,y). [hyper(12196,a,13866,a)]. 13868 a(x,y,z * z) \ (z \ (z \ u)) = u * R(z \ (z \ 1),x,y). [para(3080(a,1),13867(a,2,2,1))]. 13869 x * R(y \ (y \ 1),z,u) = x / R(y * y,z,u). [hyper(58,a,13688,a(flip),b,13868,a),flip(a)]. 13870 x * (x * (y / R(x * x,z,u))) = a(z,u,x * x) \ y. [para(13869(a,1),13097(a,1,2,2))]. 13871 (1 / L(x,y,z)) \ L(x,y,z) = L((1 / x) \ x,y,z). [hyper(430,a,13862,a),flip(a)]. 13872 (a(x,y,z) / z) \ L(z,y,x) = L((1 / z) \ z,y,x). [hyper(58,a,12527,a,b,13871,a)]. 13873 T(L((1 / x) \ x,y,z),x) = L(x,y,z) * L(x,y,z). [para(13872(a,1),12897(a,1,1))]. 13874 L(T((1 / x) \ x,x),y,z) = L(x,y,z) * L(x,y,z). [hyper(58,a,20,a,b,13873,a)]. 13875 L(x,y,z) * L(x,y,z) = L(x * x,y,z). [para(368(a,1),13874(a,1,1)),flip(a)]. 13876 x * L(L(x,y,z),y,z) = L(x * x,y,z). [hyper(58,a,12946,a(flip),b,13875,a)]. 13877 x * L(L(x,y \ z,z),y \ z,z) = R(x * x,z,y). [hyper(272,a,13836,a(flip),b,13876,a),flip(a)]. 13879 L(R(L(x,y \ z,z),z,y),z,z) = L(x,y * z,z \ (z \ 1)). [para(13628(a,2),13863(a,1,1))]. 13880 L(L(R(x,y,z),z \ y,y),y,y) = L(x,z * y,y \ (y \ 1)). [para(24(a,1),13879(a,1,1))]. 13881 L(R(x,y,z),y \ (z \ y),y) = L(x,z * y,y \ (y \ 1)). [hyper(13595,a,13880,a)]. 13882 L(R(x,y,z),(z \ y) * y,y) = L(x,z * y,y \ (y \ 1)). [hyper(58,a,13797,a(flip),b,13881,a)]. 13883 L(R(x,y,z),y * (z \ y),y) = L(x,z * y,y \ (y \ 1)). [hyper(9262,a,13882,a)]. 13884 R(R(x,y,z),y,z) = L(x,z * y,y \ (y \ 1)). [hyper(58,a,13828,a,b,13883,a)]. 13885 R(R(x,y,z),y,z) = R(x,y * y,z * y). [hyper(272,a,13636,a(flip),b,13884,a),flip(a)]. 13886 R(R(x,y,z),y,z) = L(x,z \ y,y * y). [hyper(272,a,13858,a(flip),b,13885,a),flip(a)]. 13887 R(x,y,z) * a(y,z,R(x,y,z)) = L(x,z \ y,y * y). [hyper(58,a,13655,a(flip),b,13886,a)]. 13888 R(R(x,y,y / z),y,y / z) = L(x,z,y * y). [para(74(a,1),13886(a,2,2))]. 13889 x * (y * L(z,y \ x,x * x)) = (x * y) * R(z,x,y). [para(13886(a,1),13695(a,1,2,2))]. 13890 R(L(x,y / z,z),z,z / y) = L(x,y,z * z). [para(13716(a,1),13888(a,1,1))]. 13891 R(L(x,y * z,z),z,z / y) = L(x,y,z * z). [para(13799(a,1),13890(a,1,1))]. 13892 L(L(x,y * z,z),y / z,z) = L(x,y,z * z). [hyper(13764,a,13891,a)]. 13893 L(L(x,y * z,z),y * z,z) = L(x,y,z * z). [hyper(58,a,13799,a(flip),b,13892,a)]. 13894 L(x * x,y * z,z) = x * L(x,y,z * z). [para(13893(a,1),13876(a,1,2)),flip(a)]. 13895 x * L(x,y,z * z) = L(x * x,y,z). [hyper(58,a,13800,a(flip),b,13894,a),flip(a)]. 13896 L(L(x,y,z),y,z) = L(x,y,z * z). [hyper(29,a,13876,a,b,13895,a)]. 13897 a(x,y,z) \ L(x,z,y) = L(x,z,y * y). [hyper(58,a,13680,a,b,13896,a)]. 13898 R(x,y,z) \ L(x,z,y) = x \ L(x,z,y * y). [para(13896(a,1),13805(a,2,2))]. 13899 R(x,y,z) \ L(x,z,y) = x / R(x,y * y,z). [hyper(272,a,13737,a,b,13898,a),flip(a)]. 13900 R(x,y,z) \ L(x,z,y) = y \ L(y,x,z * z). [hyper(58,a,13846,a,b,13898,a)]. 13901 a(x,y,z) * R(x,y,z) = R(x,y * y,z). [hyper(13842,a,13899,a)]. 13902 L(x,y \ z,z * z) = R(x,z,y) * a(z,y,x). [para(13696(a,1),13887(a,1,2)),flip(a)]. 13903 L(x,y \ z,z * z) = R(x,z,y) * a(x,z,y). [para(13641(a,1),13902(a,2,2))]. 13904 L(x,y \ z,z * z) = a(x,z,y) * R(x,z,y). [hyper(272,a,13024,a,b,13903,a),flip(a)]. 13905 L(x,y \ z,z * z) = R(x,z * z,y). [hyper(272,a,13901,a(flip),b,13904,a),flip(a)]. 13906 L(L(x,y \ z,z),y \ z,z) = R(x,z * z,y). [hyper(58,a,13896,a,b,13905,a)]. 13907 x * R(x,y * y,z) = R(x * x,y,z). [para(13906(a,1),13877(a,1,2))]. 13908 x * R(x,y * (y * (y * y)),z) = R(x * x,y * y,z). [para(2956(a,1),13907(a,1,2,2))]. 13909 x * (y * R(z,x * x,y)) = (x * y) * R(z,x,y). [para(13905(a,1),13889(a,1,2,2))]. 13910 (L(x,y,z) * (a(x,z,y) \ u)) \ (x * u) = a(x,z,y) * a(x,z,y). [para(13641(a,1),13864(a,2,2))]. 13911 a(x,y,K(z,u)) \ (u / a(z,y,x)) = a(z,y,x) \ u. [para(13578(a,1),13865(a,1,1))]. 13912 a(x,y,K(z,u)) \ (u / a(x,z,y)) = a(x,z,y) \ u. [para(10642(a,1),13911(a,1,1))]. 13914 a(x,y,K(z,u)) * (u / a(x,z,y)) = a(x,z,y) \ u. [hyper(58,a,7950,a(flip),b,13912,a)]. 13915 L(x,y,K(z,u)) / a(z,y,u) = a(z,y,u) \ x. [hyper(58,a,10754,a(flip),b,13914,a)]. 13916 (L(L(x,y,z),y,z) * u) \ (x * u) = a(x,z,y) * a(x,z,y). [para(13806(a,1),13910(a,1,1))]. 13917 (L(x,y,z * z) * u) \ (x * u) = a(x,z,y) * a(x,z,y). [para(13896(a,1),13916(a,1,1,1))]. 13918 a(x,y * y,T(z,u)) = a(x,y,z) * a(x,y,z). [hyper(13730,a,13917,a)]. 13919 a(x,y,z) * a(x,y,z) = a(x,y * y,z). [hyper(12388,a,13918,a),flip(a)]. 13920 a(x,y,z) * a(x,y,z) != u | a(x,y * y,z) = u. [para(13918(a,1),12388(a,1))]. 13921 T(x,(a(y,z,u) \ (a(y,z,u) \ 1)) * w) = T(x,a(y,z * z,u) \ w). [para(13919(a,1),8599(a,2,2,1))]. 13922 a(x,y,z) * (a(x,y,z) * u) = a(x,y * y,z) * u. [para(13919(a,1),10819(a,1,1)),flip(a)]. 13923 (x * a(y,z,u)) * a(y,z,u) = x * a(y,z * z,u). [para(13919(a,1),10834(a,2,2))]. 13924 (x * ((x * y) * R(z,x,y))) / T(x * (x * y),L(z,x,y)) = L(z,x,x). [para(10615(a,1),13802(a,1,2))]. 13925 R(x,y,L(z * u,z,u)) = R(x,y,u * ((((1 / z) * u) \ 1) * u)). [para(13697(a,1),13821(a,1,3))]. 13926 R(x,y,L(z * u,z,u)) = R(x,y,u * (u * ((1 / z) \ (1 / u)))). [para(4629(a,1),13925(a,2,3,2))]. 13927 R(x,y,L(z * u,z,u)) = R(x,y,(1 / z) \ ((u \ 1) \ 1)). [para(5107(a,1),13926(a,2,3))]. 13928 R(x,y,L(z * u,z,u)) = L(x,((u \ 1) \ 1) \ (1 / z),y). [hyper(272,a,13722,a(flip),b,13927,a),flip(a)]. 13929 R(x,y,L(z * u,z,u)) = L(x,1 / (z * u),y). [para(4169(a,1),13928(a,2,2))]. 13930 R(x,y,L(z * u,z,u)) = R(x,y,z * u). [hyper(272,a,13718,a,b,13929,a),flip(a)]. 13931 T(x,(a(y,z,u) \ a(y,z,u \ 1)) * w) = T(x,a(y,z * z,u) \ w). [para(13652(a,2),13921(a,1,2,1,2))]. 13932 (x * ((x * y) * R(z,x,y))) / T(x * (x * y),z) = L(z,x,x). [para(13416(a,1),13924(a,1,2))]. 13934 T(x,(R(y,z,u) \ L(y,u,z)) * w) = T(x,a(y,z * z,u) \ w). [para(13719(a,1),13931(a,1,2,1))]. 13935 x \ (L(x,y * (y / z),y * y) * z) = ((y * y) * (((y * y) \ z) / x)) * x. [para(9253(a,1),13788(a,1,2,1))]. 13936 x \ (R(x,y * y,z) * z) = ((y * y) * (((y * y) \ z) / x)) * x. [para(13857(a,1),13935(a,1,2,1))]. 13937 a(x,y * y,z) * z = ((y * y) * (((y * y) \ z) / x)) * x. [hyper(13005,a,13936,a)]. 13938 ((x * x) * (((x * x) \ y) / z)) * z != u | R(y,z,x * x) = u. [para(13937(a,1),13681(a,1))]. 13939 a(x,y,T(z,u)) * ((x * x) * T(a(x,y,z),u)) = a(x,y,z) * (x * R(x,y,z)). [para(12381(a,2),13816(a,1,1))]. 13940 a(x,y,T(z,u)) * ((x * x) * a(x,y,T(z,u))) = a(x,y,z) * (x * R(x,y,z)). [para(12381(a,2),13939(a,1,2,2))]. 13941 a(x,y,T(z,u)) * (x * R(x,y,T(z,u))) = a(x,y,z) * (x * R(x,y,z)). [para(13810(a,1),13940(a,1,2))]. 13942 R(x,y,T(z,u)) * R(x,y,T(z,u)) = a(x,y,z) * (x * R(x,y,z)). [hyper(58,a,13004,a(flip),b,13941,a)]. 13943 R(x,y,T(z,u)) * R(x,y,T(z,u)) = R(x,y,z) * R(x,y,z). [hyper(272,a,13004,a(flip),b,13942,a),flip(a)]. 13944 x \ (y \ (y \ (y \ (y \ ((y * (y * (x * (y * y)))) * z))))) = R(z,y * (y * (y * y)),x). [para(4821(a,1),13771(a,1,2,2,2,2,2,1))]. 13945 x \ (y \ (y \ (y * (y * ((x * (y * y)) * ((y * y) \ z)))))) = R(z,y * (y * (y * y)),x). [para(7629(a,1),13944(a,1,2,2,2))]. 13946 x \ ((x * (y * y)) * ((y * y) \ z)) = R(z,y * (y * (y * y)),x). [para(62(a,1),13945(a,1,2))]. 13947 ((x * x) * (((x * x) \ y) / z)) * z = R(y,x * (x * (x * x)),z). [hyper(58,a,3441,a(flip),b,13946,a)]. 13949 R(x,y * (y * (y * y)),z) = R(x,z,y * y). [hyper(13938,a,13947,a),flip(a)]. 13950 R(x * x,y * y,z) = x * R(x,z,y * y). [para(13949(a,1),13908(a,1,2)),flip(a)]. 13951 L(L(x,T(y \ 1,z) \ u,z \ (y \ z)),(y * z) \ z,(y * z) \ z) = a(u,x,(y * z) \ z) \ x. [para(9073(a,1),13589(a,1,1))]. 13952 L(R(x,y,T(K(y,z) * T(u,y),z)),1 / T(y,z),1 / T(y,z)) = a(u / y,x,1 / T(y,z)) \ x. [para(13007(a,1),13848(a,1,1))]. 13953 L(R(x,y,K(y,z) * T(T(u,y),z)),1 / T(y,z),1 / T(y,z)) = a(u / y,x,1 / T(y,z)) \ x. [para(5477(a,1),13952(a,1,1,3))]. 13954 ((a(x,y,z \ 1) * x) * (u * a(x,y,z))) / a(x,y,z) = (1 / a(x,y,z)) \ ((a(x,y,z) \ L(x,z,y)) * u). [para(13652(a,2),13702(a,1,1,1,1))]. 13955 (R(x,y,z \ 1) * (u * a(x,y,z))) / a(x,y,z) = (1 / a(x,y,z)) \ ((a(x,y,z) \ L(x,z,y)) * u). [para(12964(a,2),13954(a,1,1,1))]. 13956 (1 / a(x,y,z)) \ ((a(x,y,z) \ L(x,z,y)) * u) = (L(x,z,y) * (u * a(x,y,z))) / a(x,y,z). [para(13709(a,2),13955(a,1,1,1)),flip(a)]. 13957 (1 / a(x,y,z)) \ ((a(x,y,z) \ L(x,z,y)) * u) = (x * L(u,y,K(x,z))) / a(x,y,z). [para(13837(a,1),13956(a,2,1))]. 13958 (1 / a(x,y,z)) \ ((a(x,y,z) \ L(x,z,y)) * u) = x * (L(u,y,K(x,z)) / a(x,y,z)). [hyper(272,a,12939,a(flip),b,13957,a),flip(a)]. 13959 (1 / a(x,y,z)) \ ((a(x,y,z) \ L(x,z,y)) * u) = x * (a(x,y,z) \ u). [para(13915(a,1),13958(a,2,2))]. 13960 (1 / a(x,y,z)) \ ((a(x,y,z) \ L(x,z,y)) * u) = L(x,z,y) * u. [hyper(272,a,13673,a(flip),b,13959,a),flip(a)]. 13961 a(x,y,z \ 1) \ ((a(x,y,z) \ L(x,z,y)) * u) = L(x,z,y) * u. [para(13651(a,2),13960(a,1,1))]. 13962 a(x,y,z) * ((a(x,y,z) \ L(x,z,y)) * u) = L(x,z,y) * u. [hyper(58,a,13669,a(flip),b,13961,a)]. 13963 L(L(x,y,K(z,u) * w),(K(z,u) * w) * y,K(z,K(u,v5))) = ((K(z,T(u,v5)) * w) * y) \ ((K(z,T(u,v5)) * w) * (y * x)). [para(11035(a,1),11068(a,1,2)),flip(a)]. 13964 L(L(x,y,K(z,u) * w),(K(z,u) * w) * y,K(z,K(u,v5))) = L(x,y,K(z,T(u,v5)) * w). [hyper(272,a,13,a,b,13963,a),flip(a)]. 13965 L(x,y,K(z,T(u,w)) * v5) = L(x,y,K(z,u) * v5). [hyper(10976,a,13964,a),flip(a)]. 13967 L(x,y,(z * T(z,T(u,w))) \ v5) = L(x,y,K(z,u) * ((z * z) \ v5)). [para(12225(a,1),13965(a,1,3))]. 13968 L(x,y,z \ (T(z,T(u,w)) \ v5)) = L(x,y,K(z,u) * ((z * z) \ v5)). [hyper(58,a,12229,a(flip),b,13967,a)]. 13969 L(x,y,z \ (T(z,T(u,w)) \ v5)) = L(x,y,(z * T(z,u)) \ v5). [para(12225(a,1),13968(a,2,3))]. 13970 L(x,y,z \ (T(z,T(u,w)) \ v5)) = L(x,y,z \ (T(z,u) \ v5)). [hyper(272,a,12229,a(flip),b,13969,a),flip(a)]. 13971 L(x,y,z \ (T(z,u) \ (u \ 1))) = L(x,y,((w \ (z \ w)) * (1 / u)) / T(z,w)). [hyper(58,a,12570,a(flip),b,13970,a),flip(a)]. 13973 L(x,y,((z \ (u \ z)) * (1 / w)) / T(u,z)) = L(x,y,u \ (w \ (u \ 1))). [para(4352(a,1),13971(a,1,3,2)),flip(a)]. 13974 L(x,y,T(z,u) \ ((1 / w) / T(z,u))) = L(x,y,z \ (w \ (z \ 1))). [para(3594(a,1),13973(a,1,3))]. 13975 L(x,y,T(z,u) \ (w \ (T(z,u) \ 1))) = L(x,y,z \ (w \ (z \ 1))). [hyper(58,a,9101,a(flip),b,13974,a)]. 13976 L(x,T(1 / y,z) \ 1,y \ (u \ (y \ 1))) = R(x,u,T(1 / y,z) \ 1). [hyper(58,a,11301,a(flip),b,13975,a),flip(a)]. 13978 L(x,(1 / y) \ 1,T(y \ (z \ (y \ 1)),u)) = R(x,z,T(1 / y,u) \ 1). [hyper(58,a,12468,a(flip),b,13976,a)]. 13979 L(x,y,T(y \ (z \ (y \ 1)),u)) = R(x,z,T(1 / y,u) \ 1). [para(74(a,1),13978(a,1,2))]. 13980 L(x,y,T(y \ (z \ (y \ 1)),u * w)) = R(x,z,T(1 / y,w \ u) \ 1). [hyper(13472,a,13979,a)]. 13981 L(x,y,T(y * (z * y),u * w) \ 1) = R(x,z,T(1 / y,w \ u) \ 1). [hyper(58,a,9135,a(flip),b,13980,a)]. 13982 R(x,y \ (z * y),T(y,u * w)) = R(x,z,T(1 / y,w \ u) \ 1). [hyper(58,a,12512,a(flip),b,13981,a)]. 13983 R(x,T(y,z),T(z,u * w)) = R(x,y,T(1 / z,w \ u) \ 1). [para(17(a,2),13982(a,1,2))]. 13984 R(x,y,T(T(z,u * w),z)) = R(x,y,T(1 / z,w \ u) \ 1). [hyper(13008,a,13983,a)]. 13985 R(x,y,T(1 / z,u \ w) \ 1) = R(x,y,T(z,w * u)). [para(158(a,1),13984(a,1,3)),flip(a)]. 13986 R(x,y,T(z,u \ w) * 1) = R(x,y,T(z,w * u)). [hyper(58,a,10538,a(flip),b,13985,a)]. 13987 R(x,y,T(z,u \ w)) = R(x,y,T(z,w * u)). [para(3(a,1),13986(a,1,3))]. 13988 R(x,y \ T(1 / y,z),T(u,(z \ (y \ 1)) * y)) = R(x,((y * z) \ 1) * ((y / z) \ 1),u). [hyper(58,a,13141,a(flip),b,13987,a),flip(a)]. 13989 R(x,y \ T(1 / y,z),T(u,(y * z) \ y)) = R(x,((y * z) \ 1) * ((y / z) \ 1),u). [para(8599(a,1),13988(a,1,3))]. 13990 R(x,((y * z) \ 1) * ((y / z) \ 1),u) = R(x,y \ T(1 / y,z),T(u,z \ 1)). [para(4464(a,1),13989(a,1,3)),flip(a)]. 13991 R(x,((y * z) \ 1) * ((y / z) \ 1),u) = R(x,y \ T(1 / y,z),T(u,z)). [hyper(272,a,8752,a(flip),b,13990,a),flip(a)]. 13993 R(x,((y * z) \ 1) * ((y / z) \ 1),u) = R(x,y \ (T(y,z) \ 1),T(u,z)). [hyper(272,a,13115,a(flip),b,13991,a),flip(a)]. 13994 R(x,y * (z \ (1 / (z * y))),u) = R(x,z \ (T(z,y) \ 1),T(u,y)). [para(7509(a,1),13993(a,1,2))]. 13995 L(x,(1 / T(y,K(z,u))) * (K(z,u) / w),(1 / T(y,K(z,u))) \ 1) = R(x,T(y,K(z,u)),((1 / w) \ (1 / y)) * K(z,u)). [para(74(a,1),12747(a,2,2))]. 13997 ((1 / x) * (1 / y)) \ (((1 / x) * ((1 / y) * L(z,(1 / x) * (1 / y),u))) * u) = T(T(L(z,1 / y,x \ 1) * u,x \ (y \ 1)),(1 / x) * (1 / y)). [para(2449(a,1),13850(a,2,1,1,1))]. 13998 ((1 / x) * (1 / y)) \ (((1 / x) * ((1 / y) * L(z,(1 / x) * (1 / y),u))) * u) = T(T(L(z,y,x) * u,x \ (y \ 1)),(1 / x) * (1 / y)). [para(13746(a,1),13997(a,2,1,1,1))]. 13999 ((1 / x) * (1 / y)) \ (((1 / x) * ((1 / y) * L(z,(1 / x) * (1 / y),u))) * u) = T(T(L(z,y,x) * u,x \ (y \ 1)),(1 / x) / y). [hyper(272,a,6044,a(flip),b,13998,a),flip(a)]. 14000 ((1 / x) * (1 / y)) \ (((1 / x) * ((1 / y) * L(z,(1 / x) * (1 / y),u))) * u) = T(T(L(z,y,x) * u,x \ (y \ 1)),x \ (y \ 1)). [hyper(272,a,4898,a(flip),b,13999,a),flip(a)]. 14001 ((1 / x) * (1 / y)) \ (((1 / x) * ((1 / y) * L(z,(1 / x) * (1 / y),u))) * u) = L(z,y,x) * u. [hyper(272,a,2765,a(flip),b,14000,a),flip(a)]. 14003 ((L(T(x,y),z,u) * w) * R(K(x,y),L(T(x,y),z,u),w)) * R(K(y,x),L(T(x,y),z,u),w) = (R(K(y,x),L(T(x,y),z,u),w) \ 1) \ (L(x,z,T(u,y)) * w). [para(28(a,1),10784(a,1,1,2,1))]. 14004 (R(K(x,y),L(T(y,x),z,u),w) \ 1) \ (L(y,z,T(u,x)) * w) = L(T(y,x),z,u) * w. [hyper(7341,a,14003,a),flip(a)]. 14005 (R(K(x,y),L(T(x,y),z,u),w) \ 1) \ (L(x,z,T(u,y)) * w) = L(T(x,y),z,u) * w. [para(28(a,1),14004(a,1,1,1,1))]. 14006 (K(x,L(y,L(T(x,y),z,u),w)) \ 1) \ (L(x,z,T(u,y)) * w) = L(T(x,y),z,u) * w. [para(10602(a,1),14005(a,1,1,1))]. 14007 (K(x,L(y,z,T(x,y))) \ 1) \ (L(x,u,T(w,y)) * z) = L(T(x,y),u,w) * z. [para(13516(a,1),14006(a,1,1,1))]. 14008 (K(x,L(y,z,x)) \ 1) \ (L(x,u,T(w,y)) * z) = L(T(x,y),u,w) * z. [para(7026(a,1),14007(a,1,1,1,2))]. 14010 (K(x,y) \ 1) \ (L(x,z,T(u,y)) * w) = L(T(x,y),z,u) * w. [para(6291(a,1),14008(a,1,1,1))]. 14012 K(x,y) * (L(x,z,T(u,y)) * w) = L(T(x,y),z,u) * w. [hyper(4013,a,14010,a)]. 14014 T(x,L(T(y,y \ z),u,w) * v5) = T(x,L(T(y,z),u,w) * v5). [para(14012(a,1),11267(a,1,2)),flip(a)]. 14015 T(x,L(T(y,z),u,w) * (T(v5,y) * z)) = T(x,v5 * (z / (1 / L(y,u,w)))). [hyper(58,a,12153,a(flip),b,14014,a),flip(a)]. 14016 T(x,y * (L(z,u,w) * T(T(v5,z),y))) = T(x,v5 * (y / (1 / L(z,u,w)))). [hyper(58,a,11891,a(flip),b,14015,a)]. 14017 T(x,y * (L(z,u,w) * T(T(v5,z),y))) = T(x,v5 * (y * L(z,u,w))). [hyper(272,a,8482,a(flip),b,14016,a),flip(a)]. 14018 ((x / y) / (y * (x / y))) \ (((T(y \ x,(y \ x) \ (y * (x / y))) / (y * (x / y))) * z) * u) = ((y * (x / y)) \ (y \ x)) \ ((((y * (x / y)) \ (y \ x)) * z) * u). [para(2775(a,1),9942(a,1,1,1))]. 14019 ((x / y) \ ((x / y) / y)) \ (((T(y \ x,(y \ x) \ (y * (x / y))) / (y * (x / y))) * z) * u) = ((y * (x / y)) \ (y \ x)) \ ((((y * (x / y)) \ (y \ x)) * z) * u). [para(3305(a,1),14018(a,1,1))]. 14020 ((x / y) \ ((y * y) \ x)) \ (((T(y \ x,(y \ x) \ (y * (x / y))) / (y * (x / y))) * z) * u) = ((y * (x / y)) \ (y \ x)) \ ((((y * (x / y)) \ (y \ x)) * z) * u). [para(3249(a,1),14019(a,1,1,2))]. 14021 (L(x,x,y) \ 1) \ (((T(x \ y,(x \ y) \ (x * (y / x))) / (x * (y / x))) * z) * u) = ((x * (y / x)) \ (x \ y)) \ ((((x * (y / x)) \ (x \ y)) * z) * u). [para(7034(a,1),14020(a,1,1))]. 14022 ((x * (y / x)) \ (x \ y)) \ ((((x * (y / x)) \ (x \ y)) * z) * u) = (L(x,x,y) \ 1) \ (((T(x \ y,x) / (x * (y / x))) * z) * u). [para(2831(a,1),14021(a,1,2,1,1,1,2)),flip(a)]. 14023 ((x * (y / x)) \ (x \ y)) \ ((((x * (y / x)) \ (x \ y)) * z) * u) = (L(x,x,y) \ 1) \ ((((y / x) / (x * (y / x))) * z) * u). [para(2775(a,1),14022(a,2,2,1,1,1))]. 14024 ((x * (y / x)) \ (x \ y)) \ ((((x * (y / x)) \ (x \ y)) * z) * u) = (L(x,x,y) \ 1) \ ((((y / x) \ ((y / x) / x)) * z) * u). [para(3305(a,1),14023(a,2,2,1,1))]. 14025 ((x * (y / x)) \ (x \ y)) \ ((((x * (y / x)) \ (x \ y)) * z) * u) = (L(x,x,y) \ 1) \ ((((y / x) \ ((x * x) \ y)) * z) * u). [para(3249(a,1),14024(a,2,2,1,1,2))]. 14026 ((x * (y / x)) \ (x \ y)) \ ((((x * (y / x)) \ (x \ y)) * z) * u) = (L(x,x,y) \ 1) \ (((L(x,x,y) \ 1) * z) * u). [para(7034(a,1),14025(a,2,2,1,1))]. 14027 ((x * (y / x)) \ (x \ y)) \ ((((x * (y / x)) \ (x \ y)) * z) * u) = (z * (u * L(x,x,y))) / L(x,x,y). [hyper(272,a,7048,a(flip),b,14026,a),flip(a)]. 14028 ((x * (y / x)) \ (x \ y)) \ ((((x * (y / x)) \ (x \ y)) * z) * u) = (z * (u * x)) / x. [hyper(272,a,10469,a(flip),b,14027,a),flip(a)]. 14030 (x \ (x / y)) \ ((((y * (x / y)) \ (y \ x)) * z) * u) = (z * (u * y)) / y. [para(5769(a,1),14028(a,1,1))]. 14031 (x \ (x / y)) \ (((x \ (x / y)) * z) * u) = (z * (u * y)) / y. [para(5769(a,1),14030(a,1,2,1,1))]. 14032 (x \ y) \ (((x \ (x / (y \ x))) * z) * u) = (z * (u * (y \ x))) / (y \ x). [para(72(a,1),14031(a,1,1,2))]. 14033 (x \ (x * (x / y))) \ (((x \ (x / (y / x))) * z) * u) = (z * (u * (y / x))) / (y / x). [para(3322(a,1),14031(a,1,1,2))]. 14034 (x * (y * (z \ u))) / (z \ u) = (u \ z) \ (((u \ z) * x) * y). [para(72(a,1),14032(a,1,2,1,1,2)),flip(a)]. 14036 (x * (L(y,z \ u,z \ u) * (u \ z))) / (u \ z) = (x * (y / (z \ u))) / (1 / (z \ u)). [hyper(272,a,6484,a(flip),b,14034,a),flip(a)]. 14037 (x \ y) * (z / ((y \ x) \ 1)) = ((x \ y) * z) * (y \ x). [hyper(3432,a,14034,a(flip))]. 14038 L(x,(y \ z) * ((y \ z) \ (((y \ z) * u) * w)),v5) = L(x,((1 / (z \ y)) * u) * w,v5). [para(14034(a,1),10109(a,1,2,2))]. 14039 (x \ y) \ (z * ((y \ x) \ 1)) = ((y \ x) * z) * (x \ y). [hyper(58,a,13380,a,b,14037,a)]. 14040 (x \ y) \ (z / (y \ x)) = ((x \ y) * z) * (y \ x). [hyper(58,a,6574,a(flip),b,14037,a)]. 14041 (((x \ y) * z) * (y \ x)) / (x \ y) = ((y \ x) \ 1) \ z. [para(14040(a,1),6571(a,1,1))]. 14042 K(x,y \ z) * (((y \ z) * x) * (z \ y)) = (z \ y) \ ((y \ z) \ x). [para(14039(a,1),9797(a,1,2))]. 14043 ((x \ y) \ 1) * ((y \ x) * ((x \ y) * z)) = ((y \ x) \ 1) \ z. [hyper(58,a,8707,a,b,14041,a)]. 14044 (x \ y) \ ((y \ x) \ z) = (z * (y \ x)) * (x \ y). [hyper(9545,a,14042,a),flip(a)]. 14045 (x * (y \ z)) * (z \ y) = (y \ z) * ((z \ y) * x). [hyper(58,a,13378,a(flip),b,14044,a),flip(a)]. 14046 (x / y) \ (((x \ (x / (y / x))) * z) * u) = (z * (u * (y / x))) / (y / x). [para(4(a,1),14033(a,1,1))]. 14048 (x / y) \ (((x \ (x * (x / y))) * z) * u) = (z * (u * (y / x))) / (y / x). [para(3322(a,1),14046(a,1,2,1,1,2))]. 14049 (x * (y * (z / u))) / (z / u) = (u / z) \ (((u / z) * x) * y). [para(4(a,1),14048(a,1,2,1,1)),flip(a)]. 14051 R(x,y,(z / u) * ((z / u) \ (((z / u) * w) * v5))) = R(x,y,((u / z) \ w) * v5). [para(14049(a,1),13142(a,1,3,2))]. 14052 L(L(x,y,y \ z),z * y,z * y) = z \ ((y / z) \ (((y / z) * z) * x)). [para(14049(a,1),13356(a,2,2))]. 14053 L(L(x,y,y \ z),z * y,z * y) = z \ ((y / z) \ (y * x)). [para(7(a,1),14052(a,2,2,2,1))]. 14054 a(x,y,(1 / z) * x) \ y = x \ ((z / x) \ (z * y)). [hyper(58,a,13606,a(flip),b,14053,a)]. 14056 a(x,y,z \ x) \ y = x \ ((z / x) \ (z * y)). [para(9243(a,1),14054(a,1,1))]. 14057 x \ ((y / x) \ (y * z)) = L(z,x,y \ x). [hyper(13664,a,14056,a),flip(a)]. 14058 (x * y) \ (((y / x) / (x * y)) \ ((y / x) * z)) = L(z,x * y,x * ((x \ y) \ y)). [para(7442(a,1),14057(a,2,3))]. 14059 R(x,y,((z / u) \ w) * v5) = R(x,y,((u / z) * w) * v5). [para(5(a,1),14051(a,1,3)),flip(a)]. 14060 R(x,y,((z * (u \ 1)) / 1) * w) = R(x,y,((z / 1) * (1 / u)) * w). [hyper(58,a,13100,a,b,14059,a)]. 14062 R(x,y,((z * (u \ 1)) / 1) * w) = R(x,y,(z * (1 / u)) * w). [para(70(a,1),14060(a,2,3,1,1))]. 14063 R(x,y,(z * (1 / u)) * w) = R(x,y,(z * (u \ 1)) * w). [para(70(a,1),14062(a,1,3,1)),flip(a)]. 14064 R(x,y,(z * (1 / u)) * w) = R(x,y,(z / u) * w). [hyper(272,a,8766,a(flip),b,14063,a),flip(a)]. 14065 R(x,y,((z \ 1) / u) * w) = R(x,y,(u * z) \ w). [hyper(58,a,13093,a(flip),b,14064,a),flip(a)]. 14066 R(x,y,(z * T(u,z)) \ w) = R(x,y,(z \ (1 / u)) * w). [hyper(13082,a,14065,a),flip(a)]. 14067 R(x,y,(z * (1 / u)) \ w) = R(x,y,(u / z) * w). [para(74(a,1),14065(a,1,3,1,1)),flip(a)]. 14068 R(x,y,(z \ (1 / u)) * w) = R(x,y,(u * z) \ w). [para(98(a,1),14066(a,1,3,1)),flip(a)]. 14069 L(x,(1 / T(y,K(z,u))) * (K(z,u) / w),(1 / T(y,K(z,u))) \ 1) = R(x,T(y,K(z,u)),(y * (1 / w)) \ K(z,u)). [hyper(58,a,13995,a,b,14068,a)]. 14070 (x * y) \ ((x \ (y \ (x \ y))) \ ((y / x) * z)) = L(z,x * y,x * ((x \ y) \ y)). [para(11259(a,1),14058(a,1,2,1))]. 14071 (x * y) \ ((x * T(x,y)) * ((y / x) * z)) = L(z,x * y,x * ((x \ y) \ y)). [para(12226(a,1),14070(a,1,2))]. 14072 L(x,y * z,y * ((y \ z) \ z)) = (y * z) \ (y * ((z * (x * y)) / y)). [para(12298(a,1),14071(a,1,2)),flip(a)]. 14073 L(x,y * z,y * ((y \ z) \ z)) = L(L(x,z,y),z,y). [hyper(272,a,13763,a(flip),b,14072,a),flip(a)]. 14074 L(x,y * z,y * (z * (y / z))) = L(L(x,z,y),z,y). [hyper(58,a,9069,a(flip),b,14073,a)]. 14075 L(x,y * z,y * T(y,z)) = L(L(x,z,y),z,y). [hyper(58,a,9057,a(flip),b,14074,a)]. 14076 L(x,((1 / (y \ z)) * u) * w,v5) = L(x,((z \ y) * u) * w,v5). [para(5(a,1),14038(a,1,2)),flip(a)]. 14077 L(x,((y \ z) \ u) * w,v5) = L(x,((z \ y) * u) * w,v5). [hyper(9283,a,14076,a)]. 14079 L(x,((y \ z) * ((z \ y) * u)) * w,v5) = L(x,u * w,v5). [para(4(a,1),14077(a,1,2,1)),flip(a)]. 14080 L(x,((y \ z) \ K(u,z \ y)) * w,v5) = L(x,T(z \ y,u) * w,v5). [para(2652(a,2),14077(a,2,2,1))]. 14081 L(x,((y / z) \ u) * w,v5) = L(x,((z / y) * u) * w,v5). [para(7299(a,1),14079(a,1,2,1)),flip(a)]. 14082 L(x,((y / z) \ K(u,z / y)) * w,v5) = L(x,T(z / y,u) * w,v5). [para(2652(a,2),14081(a,2,2,1))]. 14083 L(x,T((y \ z) \ 1,u) * w,v5) = L(x,T(z \ y,u) * w,v5). [para(4436(a,1),14080(a,1,2,1))]. 14084 L(x,T(y \ z,u) \ w,v5) = L(x,T(z \ y,u) * w,v5). [hyper(58,a,10039,a(flip),b,14083,a)]. 14085 L(L(x,T(1 \ y,z) * u,z \ (y \ z)),(y * z) \ z,(y * z) \ z) = a(u,x,(y * z) \ z) \ x. [para(14084(a,1),13951(a,1,1))]. 14086 L(x,T((y / z) \ 1,u) * w,v5) = L(x,T(z / y,u) * w,v5). [para(4458(a,1),14082(a,1,2,1))]. 14087 L(x,T(y / z,u) \ w,v5) = L(x,T(z / y,u) * w,v5). [hyper(58,a,10039,a(flip),b,14086,a)]. 14088 L(x,T(y / 1,z) * u,z \ (y \ z)) = L(x,(1 / y) \ u,T(1 / y,z)). [hyper(58,a,13565,a(flip),b,14087,a),flip(a)]. 14089 L(x,(1 / y) \ z,T(1 / y,u)) = L(x,T(y,u) * z,u \ (y \ u)). [para(70(a,1),14088(a,1,2,1,1)),flip(a)]. 14090 L(x,(1 / y) \ z,T(y,u) \ 1) = L(x,T(y,u) * z,u \ (y \ u)). [hyper(58,a,8974,a(flip),b,14089,a)]. 14091 L(x,T(y,z) * u,z \ (y \ z)) = L(x,y * u,T(y,z) \ 1). [hyper(9254,a,14090,a),flip(a)]. 14092 (x * (y / ((z \ u) \ 1))) / (z \ u) = (x * (y / (u \ z))) / (1 / (u \ z)). [para(10084(a,1),14036(a,1,1,2))]. 14093 (x * (y / (z \ u))) / (1 / (z \ u)) = (u \ z) * (((u \ z) \ x) * y). [hyper(58,a,1164,a(flip),b,14092,a),flip(a)]. 14094 (x \ y) * (((x \ y) * (((x \ y) \ z) * u)) / (x \ y)) = (y \ x) * (z * (u / (y \ x))). [para(14093(a,1),8706(a,1,2,1))]. 14095 (((x \ y) \ z) * u) * (x \ y) = (y \ x) * (z * (u / (y \ x))). [hyper(2809,a,14094,a)]. 14096 ((x \ y) * (z * (u / (x \ y)))) * (x \ y) = (y \ x) * ((x \ y) * (((y \ x) \ z) * u)). [para(14095(a,1),14045(a,1,1))]. 14097 ((x \ y) \ 1) * ((y \ x) * ((x \ y) * (((y \ x) \ z) * u))) = (x \ y) * (((x \ y) * (z * (u / (x \ y)))) / (x \ y)). [para(14096(a,1),3541(a,1,2))]. 14098 L(L(x,T(y,z) * u,z \ (y \ z)),(y * z) \ z,(y * z) \ z) = a(u,x,(y * z) \ z) \ x. [para(60(a,1),14085(a,1,1,2,1,1))]. 14099 L(L(x,y * z,T(y,u) \ 1),(y * u) \ u,(y * u) \ u) = a(z,x,(y * u) \ u) \ x. [para(14091(a,1),14098(a,1,1))]. 14100 L(R(x,T(y,z),y * u),(y * z) \ z,(y * z) \ z) = a(u,x,(y * z) \ z) \ x. [para(13628(a,2),14099(a,1,1))]. 14101 L(R(x,y,T(y * z,u)),(y * u) \ u,(y * u) \ u) = a(z,x,(y * u) \ u) \ x. [para(13007(a,1),14100(a,1,1))]. 14102 L(R(x,y,T(y * z,u)),(y * u) \ u,u \ (y \ u)) = a(z,x,(y * u) \ u) \ x. [hyper(58,a,9073,a(flip),b,14101,a)]. 14103 L(R(x,y,T(y * z,u)),u / (y * u),y \ 1) = a(z,x,(y * u) \ u) \ x. [hyper(58,a,12491,a(flip),b,14102,a)]. 14104 L(R(x,y,T(y * z,u)),u \ (u / y),y \ 1) = a(z,x,(y * u) \ u) \ x. [para(3305(a,1),14103(a,1,2))]. 14105 R(R(x,y,T(y * z,u)),y,u \ (u / y)) = a(z,x,(y * u) \ u) \ x. [hyper(58,a,13628,a,b,14104,a)]. 14106 L(R(x,y,T(y * z,u)),(u / y) \ u,y) = a(z,x,(y * u) \ u) \ x. [hyper(58,a,13722,a(flip),b,14105,a)]. 14107 L(R(x,y,T(y * z,u)),y,y) = a(z,x,(y * u) \ u) \ x. [para(74(a,1),14106(a,1,2))]. 14108 R(x,y,T(y * z,u) * y) = a(z,x,(y * u) \ u) \ x. [hyper(13601,a,14107,a)]. 14109 L(x,T(y * z,u) \ y,y) = a(z,x,(y * u) \ u) \ x. [hyper(58,a,13784,a(flip),b,14108,a)]. 14110 L(x,(1 / T(y,K(z,u))) * (K(z,u) / w),(1 / T(y,K(z,u))) \ 1) = R(x,T(y,K(z,u)),(w / y) * K(z,u)). [hyper(272,a,14067,a(flip),b,14069,a),flip(a)]. 14111 L(x,(1 / T(y,K(z,u))) * (K(z,u) / w),(1 / T(y,K(z,u))) \ 1) = R(x,y,T((w / y) * K(z,u),K(z,u))). [hyper(272,a,13007,a(flip),b,14110,a),flip(a)]. 14112 L(x,(1 / T(y,K(z,u))) * (K(z,u) / w),(1 / T(y,K(z,u))) \ 1) = R(x,y,K(z,u) * (w / y)). [para(3879(a,1),14111(a,2,3))]. 14113 L(x,K(y,z) / (u / (w \ 1)),(1 / T(w,K(y,z))) \ 1) = R(x,w,K(y,z) * (u / w)). [para(11125(a,1),14112(a,1,2))]. 14114 L(x,K(y,z) / (u / (w \ 1)),T(w,K(y,z))) = R(x,w,K(y,z) * (u / w)). [para(74(a,1),14113(a,1,3))]. 14115 L(x,K(y,z) / (u / (w \ 1)),w) = R(x,w,K(y,z) * (u / w)). [hyper(11013,a,14114,a)]. 14118 L(x,K(y,z) * ((u \ 1) / w),u) = R(x,u,K(y,z) * (w / u)). [hyper(58,a,10007,a(flip),b,14115,a)]. 14119 R(x,y,K(z,u) * (w / y)) = L(x,K(z,u) / (w * y),y). [hyper(58,a,10031,a(flip),b,14118,a),flip(a)]. 14120 R(x,y,K(z,u) * (w / y)) = L(x,(w * y) \ K(z,u),y). [hyper(272,a,11672,a(flip),b,14119,a),flip(a)]. 14121 R(x,y,K(z,u) * (w / y)) = L(x,y \ (w \ K(z,u)),y). [hyper(272,a,12567,a(flip),b,14120,a),flip(a)]. 14122 L(x,y \ (z \ K(y,u)),y) = R(x,y,T(y,u) \ z). [hyper(58,a,8099,a(flip),b,14121,a),flip(a)]. 14123 R(x,y,T(y,z) \ u) = R(x,y,y \ u). [hyper(58,a,13564,a(flip),b,14122,a),flip(a)]. 14125 R(x,y,y \ (y * z)) = R(x,y,K(y,u) * z). [para(3944(a,1),14123(a,1,3)),flip(a)]. 14126 R(x,y,K(y,z) * u) = R(x,y,u). [para(4(a,1),14125(a,1,3)),flip(a)]. 14128 L(R(x,y,T(T(z,y),u)),1 / T(y,u),1 / T(y,u)) = a(z / y,x,1 / T(y,u)) \ x. [para(14126(a,1),13953(a,1,1))]. 14129 L(R(x,y,T(z,u)),1 / T(y,u),1 / T(y,u)) = a(z / y,x,1 / T(y,u)) \ x. [para(8095(a,1),14128(a,1,1))]. 14131 L(R(x,y,T(z,u)),T(y,u),T(y,u)) = a(z / y,x,1 / T(y,u)) \ x. [hyper(6988,a,14129,a)]. 14132 L(R(x,y,T(z,u)),y,y) = a(z / y,x,1 / T(y,u)) \ x. [hyper(6181,a,14131,a)]. 14133 a(x / y,z,1 / T(y,u)) \ z = R(z,y,T(x,u) * y). [hyper(13601,a,14132,a),flip(a)]. 14135 a(x / y,z,1 / T(y,u)) \ z = L(z,T(x,u) \ y,y). [hyper(272,a,13784,a(flip),b,14133,a),flip(a)]. 14136 a(x / y,z,T(y,u) \ 1) \ z = L(z,T(x,u) \ y,y). [para(2601(a,1),14135(a,1,1))]. 14137 a(x,T(y,z) \ 1,u / y) \ x = L(x,T(u,z) \ y,y). [hyper(58,a,13658,a,b,14136,a)]. 14138 a(T(x,y),x / z,u) \ u = L(u,T(z,y) \ x,x). [para(12435(a,1),14137(a,1,1))]. 14139 a(x,T(y,z),y / u) \ x = L(x,T(u,z) \ y,y). [hyper(58,a,13658,a(flip),b,14138,a)]. 14140 a(x,y,T(z \ y,u)) \ x = L(x,T(z,u) \ y,y). [para(12511(a,1),14139(a,1,1))]. 14141 L(x,T(y \ z,u),z) = L(x,T(y,u) \ z,z). [hyper(13663,a,14140,a)]. 14142 L(x,T(y,z) \ u,u) = L(x,y \ u,T(u,z)). [hyper(58,a,12467,a(flip),b,14141,a),flip(a)]. 14143 L(x,(y * z) \ y,T(y,u)) = a(z,x,(y * u) \ u) \ x. [hyper(58,a,14109,a(flip),b,14142,a),flip(a)]. 14144 a(x,y,(z * u) \ u) \ y = R(y,T(z,u),x). [hyper(58,a,13721,a(flip),b,14143,a),flip(a)]. 14146 a(x,y,(z * u) \ u) \ y = R(y,z,T(x,u)). [hyper(272,a,13007,a(flip),b,14144,a),flip(a)]. 14147 a(x,y,z \ (u \ z)) \ y = R(y,u,T(x,z)). [para(9316(a,1),14146(a,1,1))]. 14148 L(x,y,z \ (u \ z)) = R(x,u,T(y,z)). [hyper(13664,a,14147,a)]. 14149 L(x,y,z \ (u \ z)) * L(x,y,z \ (u \ z)) = R(x * x,u,T(y,z)). [hyper(58,a,13875,a,b,14148,a)]. 14150 R(x,y,T(z,u)) * L(x,z,u \ (y \ u)) = R(x * x,y,T(z,u)). [para(14148(a,1),14149(a,1,1))]. 14151 R(x,y,T(z,u)) * R(x,y,T(z,u)) = R(x * x,y,T(z,u)). [para(14148(a,1),14150(a,1,2))]. 14152 R(x * x,y,T(z,u)) = R(x,y,z) * R(x,y,z). [hyper(58,a,13943,a(flip),b,14151,a),flip(a)]. 14153 R(x,y,z) * R(x,y,z) = R(x * x,y,z). [hyper(13049,a,14152,a),flip(a)]. 14155 a(x,y,z) = R(x,y,z) \ (R(x * x,y,z) / x). [para(14153(a,1),13016(a,1,2,1)),flip(a)]. 14156 R(x,y * y,z) \ ((x * R(x,z,y * y)) / x) = a(x,y * y,z). [para(13950(a,1),14155(a,2,2,1)),flip(a)]. 14157 R(x,y * y,z) \ T(R(x,z,y * y),x) = a(x,y * y,z). [para(2774(a,2),14156(a,1,2))]. 14158 R(x,y * y,z) \ R(x,z,y * y) = a(x,y * y,z). [para(160(a,1),14157(a,1,2))]. 14159 a(x,y * y,z) \ a(x,z,y * y) = a(x,y * y,z). [hyper(58,a,13021,a,b,14158,a)]. 14160 (x \ y) * (((x \ y) * (z * (u / (x \ y)))) / (x \ y)) = ((y \ x) \ 1) \ (((y \ x) \ z) * u). [hyper(58,a,14043,a(flip),b,14097,a),flip(a)]. 14161 ((x \ y) \ 1) \ (((x \ y) \ z) * u) = (z * (u / (y \ x))) * (y \ x). [hyper(2809,a,14160,a),flip(a)]. 14162 (x * ((y / z) \ z)) * ((y \ z) \ 1) = (x * (z / (z \ y))) * (z \ y). [hyper(58,a,3516,a(flip),b,14161,a)]. 14163 R(x,(y / z) \ z,((y / z) \ z) \ z) = ((x * (z / (z \ y))) * (z \ y)) / z. [para(14162(a,1),3487(a,2,1))]. 14164 R(x,(y / z) \ z,((y / z) \ z) \ z) = R(x,(z \ y) \ z,z \ y). [hyper(272,a,8094,a(flip),b,14163,a),flip(a)]. 14165 R(x,(y / z) \ z,((y / z) \ z) \ z) = R(x,(y \ z) * z,z \ y). [hyper(272,a,13047,a(flip),b,14164,a),flip(a)]. 14166 R(x,(y / z) \ z,((y / z) \ z) \ z) = R(x,z * (z / y),z \ y). [hyper(272,a,9353,a(flip),b,14165,a),flip(a)]. 14167 R(x,(y / z) \ z,(y \ z) \ 1) = R(x,z * (z / y),z \ y). [para(3464(a,1),14166(a,1,3))]. 14168 R(x,(y / z) \ z,(z \ y) * 1) = R(x,z * (z / y),z \ y). [hyper(13057,a,14167,a)]. 14169 R(x,(y / z) \ z,z \ y) = R(x,z * (z / y),z \ y). [para(3(a,1),14168(a,1,3))]. 14170 R(x,(y / z) * y,y \ z) = R(x,y * (y / z),y \ z). [hyper(13045,a,14169,a)]. 14171 R(x,y * (y / z),y \ z) = R(x,y * (z \ y),y \ z). [hyper(58,a,9354,a(flip),b,14170,a),flip(a)]. 14172 R(x,y * (z \ y),y \ z) = L(x,y \ z,z \ 1). [hyper(58,a,13068,a(flip),b,14171,a),flip(a)]. 14173 R(x,y * (z \ (1 / (z * y))),(z \ y) \ (y * y)) = L(x,(z \ y) \ (y * y),(y * y) \ 1). [para(7452(a,1),14172(a,1,2))]. 14174 R(x,y * (z \ (1 / (z * y))),(y \ z) * (y * y)) = L(x,(z \ y) \ (y * y),(y * y) \ 1). [hyper(13057,a,14173,a)]. 14175 R(x,y * (z \ (1 / (z * y))),y * (y * (y \ z))) = L(x,(z \ y) \ (y * y),(y * y) \ 1). [para(2956(a,1),14174(a,1,3))]. 14176 R(x,y * (z \ (1 / (z * y))),y * z) = L(x,(z \ y) \ (y * y),(y * y) \ 1). [para(5(a,1),14175(a,1,3,2))]. 14177 R(x,y * (z \ (1 / (z * y))),y * z) = L(x,(z \ y) \ (y * y),y \ (y \ 1)). [hyper(272,a,9100,a(flip),b,14176,a),flip(a)]. 14179 R(x,y * (z \ (1 / (z * y))),y * z) = L(x,y * (y / (z \ y)),y \ (y \ 1)). [hyper(272,a,9253,a(flip),b,14177,a),flip(a)]. 14180 R(x,y * (z \ (1 / (z * y))),y * z) = L(x,y * z,y \ (y \ 1)). [para(72(a,1),14179(a,2,2,2))]. 14182 R(x,y \ (T(y,z) \ 1),T(z * y,z)) = L(x,z * y,z \ (z \ 1)). [hyper(58,a,13994,a(flip),b,14180,a)]. 14183 R(x,y \ (T(y,z) \ 1),y * z) = L(x,z * y,z \ (z \ 1)). [hyper(58,a,8745,a(flip),b,14182,a)]. 14184 L(x,y * z,(T(y,z) \ 1) \ y) = L(x,z * y,z \ (z \ 1)). [hyper(58,a,13637,a(flip),b,14183,a)]. 14185 L(x,y * z,y \ (y \ 1)) = L(x,z * y,z * T(z,y)). [para(3035(a,1),14184(a,1,3)),flip(a)]. 14186 R(x,y * y,y * z) = L(x,z * y,z * T(z,y)). [hyper(58,a,13636,a(flip),b,14185,a)]. 14187 L(x,y \ z,z * z) = L(x,y * z,y * T(y,z)). [hyper(58,a,13856,a(flip),b,14186,a)]. 14188 L(L(x,y,z),y,z) = L(x,z \ y,y * y). [hyper(272,a,14075,a(flip),b,14187,a)]. 14189 L(x,y \ z,z * z) = L(x,z,y * y). [hyper(58,a,13896,a(flip),b,14188,a),flip(a)]. 14190 R(x,y * y,z) = L(x,y,z * z). [hyper(58,a,13905,a(flip),b,14189,a)]. 14191 a(x,y,z * z) = y \ L(y,z,x * x). [hyper(112,a,14190,a(flip),b,13629,a(flip)),flip(a)]. 14192 a(x,y * y,z) = x \ L(x,y,z * z). [hyper(112,a,14190,a(flip),b,12970,a(flip)),flip(a)]. 14194 x * L(x,y,z * z) = R(x * x,y,z). [para(14190(a,1),13907(a,1,2))]. 14195 R(x,y,z) \ L(x,z,y) = a(y,x * x,z). [hyper(272,a,13900,a,b,14192,a)]. 14196 R(x * x,y,z) = L(x * x,y,z). [hyper(58,a,13895,a(flip),b,14194,a),flip(a)]. 14197 R(x,y,z) * R(x,y,z) = L(x * x,y,z). [hyper(58,a,14153,a,b,14196,a)]. 14198 L(x * x,y,z) * (y * z) = ((x * x) * y) * z. [para(14196(a,1),93(a,1,1))]. 14199 x \ (x \ (y * L(x * x,z,u))) = y * a(z,u,x * x). [para(14196(a,1),13684(a,1,2,2,2))]. 14200 x * (x * (y / L(x * x,z,u))) = a(z,u,x * x) \ y. [para(14196(a,1),13870(a,1,2,2,2))]. 14201 x \ L(x,y,z * z) = a(z,x * x,y). [hyper(58,a,13898,a(flip),b,14195,a)]. 14202 T(x,a(y,z * z,u) \ w) = T(x,a(z,y * y,u) * w). [para(14195(a,1),13934(a,1,2,1)),flip(a)]. 14203 a(x,y * y,z) = a(x,y,z * z). [hyper(58,a,14191,a,b,14201,a),flip(a)]. 14204 a(x,y * y,z * z) = a(x,y,z * (z * (z * z))). [hyper(272,a,9244,a(flip),b,14203,a),flip(a)]. 14205 a(x,(y * y) * (T(y,z) * T(y,z)),u) = a(x,y * T(y,z),u * u). [para(6783(a,1),14203(a,1,2))]. 14206 T(L(x * x,y,z) * u,u) = u * (R(x,y,z) * R(x,y,z)). [para(14197(a,1),3378(a,1,1,1))]. 14207 a(x,y * y,z) \ u = u * a(x,z,y * y). [hyper(58,a,13689,a(flip),b,14199,a)]. 14208 a(x,y,z * z) * a(x,y,z * z) = a(x,z * z,y). [hyper(58,a,14159,a(flip),b,14207,a),flip(a)]. 14209 a(x,y * y,z \ 1) = a(x,z,y * y). [hyper(111,a,14207,a(flip),b,13652,a),flip(a)]. 14211 a(x,y * y,z \ 1) = z \ L(z,y,x * x). [hyper(272,a,14191,a(flip),b,14209,a),flip(a)]. 14212 L(x,y * y,z) = L(x,y,z * z). [hyper(13735,a,14211,a)]. 14213 R(x,y * y,z) = L(x,y * y,z). [hyper(272,a,14190,a,b,14212,a)]. 14214 a(x,y,z) \ L(x,z,y) = L(x,z * z,y). [hyper(272,a,13897,a,b,14212,a)]. 14215 (x * x) * (y * L(z,x * x,y)) = ((x * x) * y) * z. [para(14213(a,1),13695(a,1,2,2))]. 14216 x * (y * L(z,x * x,y)) = (x * y) * R(z,x,y). [para(14213(a,1),13909(a,1,2,2))]. 14217 T(x,a(y,z,u) * (a(y,z,u) * (w * L(y,u * u,z)))) = T(x,w * (a(y,z,u) * L(y,u,z))). [para(14214(a,1),11784(a,1,2,2,2,2))]. 14218 a(x,y,z) * (L(x,z * z,y) * u) = L(x,z,y) * u. [para(14214(a,1),13962(a,1,2,1))]. 14219 T((x * x) * (y * L(z,x * x,y)),y * L(z,x * x,y)) = x * ((x * y) * R(z,x,y)). [para(14216(a,1),3429(a,2,2))]. 14220 a(x,y * y,z * z) = a(x,z * z,y). [hyper(13920,a,14208,a)]. 14221 a(x,y,z * (z * (z * z))) = a(x,z * z,y). [hyper(58,a,14204,a(flip),b,14220,a)]. 14222 T(x,L(y,z * z,u) * (a(y,u,z) * w)) = T(x,L(y,z,u) * w). [para(14218(a,1),11863(a,1,2)),flip(a)]. 14223 a(x,y,z * z) \ u = u * a(x,z * z,y). [hyper(58,a,13678,a(flip),b,14200,a),flip(a)]. 14224 T(x,y * (y * (a(z,u,w * w) \ (a(z,u,w * w) \ (a(z,u,w * w) \ (a(z,u,w * w) \ (a(z,u,w * w) \ (y * a(z,w * w,u))))))))) = T(x,(a(z,u,w * w) / y) * a(z,u,w * w)). [para(14223(a,1),12064(a,1,2,2,2,2,2,2,2,2))]. 14225 T(x,a(y,z * z,u) * w) = T(x,w * a(z,u,y * y)). [para(14207(a,1),14202(a,1,2)),flip(a)]. 14226 (x * y) * (R(z,x,y) * R(z,x,y)) = T(((z * z) * x) * y,x * y). [para(14198(a,1),14206(a,1,1)),flip(a)]. 14227 a(x,(y * y) * (y * y),z) = a(x,y * T(y,u),z * z). [para(3155(a,1),14205(a,1,2,2))]. 14228 a(x,y * T(y,z),u * u) = a(x,y * (y * (y * y)),u). [para(2956(a,1),14227(a,1,2)),flip(a)]. 14230 a(x,y * T(y,z),u * u) = a(u,x,y * (y * (y * y))). [hyper(272,a,13641,a(flip),b,14228,a),flip(a)]. 14231 a(x,y * T(y,z),u * u) = a(u,y * y,x). [hyper(272,a,14221,a(flip),b,14230,a),flip(a)]. 14233 a(x,y * T(y,z),u * u) = a(x,u,y * y). [hyper(272,a,13641,a(flip),b,14231,a),flip(a)]. 14234 a(x,y * (y * (y * y)),z) = a(x,z,y * y). [hyper(58,a,14228,a(flip),b,14233,a)]. 14235 T(((x * x) * y) * z,y * z) = (y * z) * L(x * x,y,z). [para(14197(a,1),14226(a,1,2)),flip(a)]. 14236 T(((x * x) * y) * z,y * z) != u | T(z,y) * (y * (x * x)) = u. [para(14235(a,2),9006(a,1))]. 14237 T(((x * x) * y) * z,y * L(z,x * x,y)) = x * ((x * y) * R(z,x,y)). [para(14215(a,1),14219(a,1,1))]. 14238 T(x,a(y,z * z,u) * (w * L(y,u * u,z))) = T(x,w * (a(y,z,u) * L(y,u,z))). [para(13922(a,1),14217(a,1,2))]. 14239 T(x,a(y,z * z,u) * (w * L(y,u * u,z))) = T(x,w * y). [para(13660(a,1),14238(a,2,2,2))]. 14240 T(x,y * (y * (a(z,u,w * w) \ (a(z,u,w * w) \ (a(z,u,w * w) \ (a(z,u,w * w) \ ((y * a(z,w * w,u)) * a(z,w * w,u)))))))) = T(x,(a(z,u,w * w) / y) * a(z,u,w * w)). [para(14223(a,1),14224(a,1,2,2,2,2,2,2,2))]. 14241 T(x,y * (y * (a(z,u,w * w) \ (a(z,u,w * w) \ (a(z,u,w * w) \ (a(z,u,w * w) \ (y * a(z,(w * w) * (w * w),u)))))))) = T(x,(a(z,u,w * w) / y) * a(z,u,w * w)). [para(13923(a,1),14240(a,1,2,2,2,2,2,2,2))]. 14242 T(x,y * (y * (a(z,u,w * w) \ (a(z,u,w * w) \ (a(z,u,w * w) \ (a(z,u,w * w) \ (y * a(z,w * (w * (w * w)),u)))))))) = T(x,(a(z,u,w * w) / y) * a(z,u,w * w)). [para(2956(a,1),14241(a,1,2,2,2,2,2,2,2,2,2))]. 14243 T(x,y * (y * (a(z,u,w * w) \ (a(z,u,w * w) \ (a(z,u,w * w) \ (a(z,u,w * w) \ (y * a(z,u,w * w)))))))) = T(x,(a(z,u,w * w) / y) * a(z,u,w * w)). [para(14234(a,1),14242(a,1,2,2,2,2,2,2,2,2))]. 14244 T(x,y * (y * (a(z,u,w * w) \ (a(z,u,w * w) \ (a(z,u,w * w) \ T(y,a(z,u,w * w))))))) = T(x,(a(z,u,w * w) / y) * a(z,u,w * w)). [para(17(a,2),14243(a,1,2,2,2,2,2,2))]. 14245 T(x,y * (y * (a(z,u,w * w) \ (a(z,u,w * w) \ (a(z,u,w * w) \ L(y,w * w,K(z,u))))))) = T(x,(a(z,u,w * w) / y) * a(z,u,w * w)). [para(10711(a,2),14244(a,1,2,2,2,2,2,2))]. 14246 T(x,y * (y * (a(z,u,w * w) \ (a(z,u,w * w) \ (a(z,u,w * w) \ y))))) = T(x,(a(z,u,w * w) / y) * a(z,u,w * w)). [para(12191(a,1),14245(a,1,2,2,2,2,2,2))]. 14247 T(x,y * (y * (a(z,u,w * w) \ (a(z,u,w * w) \ (y * a(z,w * w,u)))))) = T(x,(a(z,u,w * w) / y) * a(z,u,w * w)). [para(14223(a,1),14246(a,1,2,2,2,2,2))]. 14248 T(x,y * (y * (a(z,u,w * w) \ ((y * a(z,w * w,u)) * a(z,w * w,u))))) = T(x,(a(z,u,w * w) / y) * a(z,u,w * w)). [para(14223(a,1),14247(a,1,2,2,2,2))]. 14249 T(x,y * (y * (a(z,u,w * w) \ (y * a(z,(w * w) * (w * w),u))))) = T(x,(a(z,u,w * w) / y) * a(z,u,w * w)). [para(13923(a,1),14248(a,1,2,2,2,2))]. 14250 T(x,y * (y * (a(z,u,w * w) \ (y * a(z,w * (w * (w * w)),u))))) = T(x,(a(z,u,w * w) / y) * a(z,u,w * w)). [para(2956(a,1),14249(a,1,2,2,2,2,2,2))]. 14251 T(x,y * (y * (a(z,u,w * w) \ (y * a(z,u,w * w))))) = T(x,(a(z,u,w * w) / y) * a(z,u,w * w)). [para(14234(a,1),14250(a,1,2,2,2,2,2))]. 14252 T(x,(a(y,z,u * u) / w) * a(y,z,u * u)) = T(x,w * (w * T(w,a(y,z,u * u)))). [para(17(a,2),14251(a,1,2,2,2)),flip(a)]. 14253 T(x,(a(y,z,u * u) / w) * a(y,z,u * u)) = T(x,w * (w * L(w,u * u,K(y,z)))). [para(10711(a,2),14252(a,2,2,2,2))]. 14254 T(x,(a(y,z,u * u) / w) * a(y,z,u * u)) = T(x,w * (w * w)). [hyper(272,a,12644,a(flip),b,14253,a),flip(a)]. 14256 T(x,(a(y,z,u * u) / w) * a(y,z,u * u)) = T(x,w \ 1). [hyper(272,a,7737,a(flip),b,14254,a),flip(a)]. 14257 T(x,a(y,z,u * u) \ (a(y,z,u * u) \ w)) = L(T(x,w \ 1),w,w). [para(14256(a,1),13209(a,1,1)),flip(a)]. 14258 T(x,a(y,z,u * u) \ (a(y,z,u * u) \ w)) = T(x,w). [hyper(272,a,2925,a(flip),b,14257,a),flip(a)]. 14259 T(x,a(y,z,u * u) \ (w * a(y,u * u,z))) = T(x,w). [para(14223(a,1),14258(a,1,2,2))]. 14260 T(x,(y * a(z,u * u,w)) * a(z,u * u,w)) = T(x,y). [para(14223(a,1),14259(a,1,2))]. 14261 T(x,y * a(z,(u * u) * (u * u),w)) = T(x,y). [para(13923(a,1),14260(a,1,2))]. 14262 T(x,y * a(z,u * (u * (u * u)),w)) = T(x,y). [para(2956(a,1),14261(a,1,2,2,2))]. 14263 T(x,y * a(z,u,w * w)) = T(x,y). [para(14234(a,1),14262(a,1,2,2))]. 14264 T(x,L(y,z * z,u) * w) = T(x,y * w). [hyper(11023,a,14263,a)]. 14265 T(x,a(y,z * z,u) * w) = T(x,w). [hyper(58,a,14225,a,b,14263,a)]. 14268 T(x,y * L(z,u * u,w)) = T(x,y * z). [hyper(58,a,14239,a(flip),b,14265,a),flip(a)]. 14269 T(x,y * (a(y,z,u) * w)) = T(x,L(y,u,z) * w). [hyper(58,a,14222,a(flip),b,14264,a),flip(a)]. 14271 T(((x * x) * y) * z,y * z) = x * ((x * y) * R(z,x,y)). [hyper(58,a,14237,a(flip),b,14268,a),flip(a)]. 14273 T(x,R(y,z,u) * w) = T(x,L(y,u,z) * w). [para(12971(a,1),14269(a,1,2))]. 14274 T(x,L(y,z,u) * (T(w,y) * v5)) = T(x,w * (R(y,u,z) * v5)). [hyper(58,a,11966,a(flip),b,14273,a),flip(a)]. 14275 x * ((x * y) * R(z,x,y)) = T(z,y) * (y * (x * x)). [hyper(14236,a,14271,a),flip(a)]. 14277 x * ((x * y) * R(z,x,y)) = T(z,y) * (x * (x * y)). [para(2956(a,1),14275(a,2,2))]. 14278 (T(x,y) * (z * (z * y))) / T(z * (z * y),x) = L(x,z,z). [para(14277(a,1),13932(a,1,1))]. 14279 T(x,y) * K(x,z * (z * y)) = L(x,z,z). [hyper(3985,a,14278,a)]. 14280 K(x,y) * T(x,z * (z * y)) = L(x,z,z). [hyper(4267,a,14279,a)]. 14281 K(x,y) * T(y,z * (z * x)) = L(y,z,z). [para(28(a,1),14280(a,1,1))]. 14282 T(T(x,y),(y * z) * z) = L(x,z,z). [hyper(58,a,11903,a(flip),b,14281,a)]. 14283 T(T(x,y),z * (z * y)) = L(x,z,z). [hyper(6102,a,14282,a)]. 14284 T(x,y * (y * z)) = L(T(x,z),y,y). [para(2765(a,1),14283(a,1,1))]. 14286 L(T(x,y * (z / u)),u,u) = T(x,y * (z * u)). [hyper(58,a,11811,a(flip),b,14284,a),flip(a)]. 14288 T(x,y * (y * (L(T(z,y),u,u) \ u))) = T(x,y * (z \ (y * u))). [para(14284(a,1),13262(a,1,2,2,2,1))]. 14290 T(x,y \ (T(y,z) \ u)) = T(x,y * (T(y,z) * u)). [hyper(58,a,13243,a(flip),b,14286,a)]. 14291 T(x,y \ (y \ z)) = T(x,y * (y * z)). [hyper(58,a,13207,a(flip),b,14286,a)]. 14292 T(x,y \ (y \ z)) = L(T(x,z),y,y). [hyper(272,a,14284,a(flip),b,14291,a),flip(a)]. 14296 T(x,y \ (z \ (y \ (z \ u)))) = L(T(x,u),y * z,y * z). [hyper(58,a,12677,a(flip),b,14292,a)]. 14298 L(T(x,y * z),y,y) = T(x,y \ z). [para(4(a,1),14292(a,1,2,2)),flip(a)]. 14299 L(T(x,y * (z \ (y / z))),y,y) = T(x,z * T(z,y)). [hyper(272,a,12212,a(flip),b,14298,a),flip(a)]. 14300 L(T(x,T(y,z) \ u),z,z) = T(x,z \ (y \ (z \ u))). [para(11830(a,1),14298(a,1,1))]. 14301 L(L(x,y * z,y * z),y,y) = T(x,z * T(z,y)). [para(13187(a,1),14299(a,1,1))]. 14302 T(x,y * (R(z,u,w) * v5)) = T(x,y * (L(z,w,u) * v5)). [hyper(58,a,11864,a(flip),b,14274,a),flip(a)]. 14303 T(x,y * (L(z,u,w) * T(T(v5,z),y))) = T(x,v5 * (y * R(z,w,u))). [hyper(58,a,12000,a(flip),b,14302,a),flip(a)]. 14304 L(T(x,L(T(y,z),u,u) \ u),z,z) = T(x,z * (y \ (z * u))). [hyper(58,a,14284,a(flip),b,14288,a)]. 14305 L(T(x,T(y,z) \ u),z,z) = T(x,z * (y \ (z * u))). [para(8458(a,1),14304(a,1,1))]. 14306 T(x,y \ (z \ (y \ u))) = T(x,y * (z \ (y * u))). [hyper(58,a,14300,a(flip),b,14305,a)]. 14308 T(x,y * (z \ (y * (z \ u)))) = L(T(x,u),y * z,y * z). [hyper(58,a,14296,a(flip),b,14306,a),flip(a)]. 14309 T(x,y * (z \ (y * (z \ (y * (y * u)))))) = T(x,z \ (T(z,y) \ u)). [hyper(58,a,13304,a(flip),b,14306,a),flip(a)]. 14310 T(x,y * ((z \ (y / z)) * u)) = L(T(x,u),y * z,y * z). [hyper(58,a,12291,a(flip),b,14308,a)]. 14311 T(x,y * (z * R(u,w,v5))) = T(x,y * (z * L(u,v5,w))). [hyper(58,a,14017,a(flip),b,14303,a),flip(a)]. 14312 T(x,y * T((z * u) * w,z)) = T(x,y * ((u * w) * L(z,w,u))). [hyper(58,a,12646,a,b,14311,a)]. 14313 T(x,y * T((z * u) * w,z)) = T(x,y * (u * (w * z))). [para(87(a,1),14312(a,2,2,2))]. 14314 T(x,y * L(((z * z) * u) * w,z,z)) = T(x,y * (u * (w * (z * z)))). [para(2952(a,1),14313(a,1,2,2))]. 14315 T(x,y * ((z \ (y / z)) * (y * (y * u)))) = T(x,z \ (T(z,y) \ u)). [hyper(58,a,12291,a(flip),b,14309,a)]. 14316 T(x,y * ((z * (z * u)) * L(w,z,z))) = T(x,y * (u * (w * (z * z)))). [para(5946(a,1),14314(a,1,2,2))]. 14317 T(x,y * ((z * (u * u)) * L(w,u,u))) = T(x,y * (z * (w * (u * u)))). [para(2956(a,2),14316(a,1,2,2,1))]. 14318 T(x,y * ((z * (u * u)) * w)) = T(x,y * (z * (w * (u * u)))). [hyper(58,a,8463,a(flip),b,14317,a)]. 14320 T(x,y * (((z * u) * u) * w)) = T(x,y * (z * (w * (u * u)))). [hyper(58,a,8715,a,b,14318,a)]. 14321 T(x,y * (y * (T(z,u) * (u * w)))) = T(x,u * (z * (w * (y * y)))). [hyper(58,a,13422,a,b,14320,a)]. 14322 L(T(x,T(y,z) * (z * u)),w,w) = T(x,z * (y * (u * (w * w)))). [hyper(58,a,14284,a(flip),b,14321,a)]. 14323 T(x,y * (z * (u * (w * w)))) = L(T(x,y * (z * u)),w,w). [para(11854(a,1),14322(a,1,1)),flip(a)]. 14324 T(x,y * (z * (u * (u * w)))) = L(T(x,y * (z * w)),u,u). [para(2956(a,1),14323(a,1,2,2,2))]. 14325 L(T(x,y * ((z \ (y / z)) * u)),y,y) = T(x,z \ (T(z,y) \ u)). [hyper(58,a,14315,a(flip),b,14324,a),flip(a)]. 14326 L(L(T(x,y),z * u,z * u),z,z) = T(x,u \ (T(u,z) \ y)). [para(14310(a,1),14325(a,1,1))]. 14327 T(T(x,y),z * T(z,u)) = T(x,z \ (T(z,u) \ y)). [hyper(58,a,14301,a(flip),b,14326,a)]. 14328 T(T(x,y),z * T(z,u)) = T(x,z * (T(z,u) * y)). [hyper(272,a,14290,a(flip),b,14327,a),flip(a)]. 14329 T(T(x,y * T(y,z)) \ 1,u) = T(x \ 1,y * (T(y,z) * u)). [hyper(58,a,7004,a(flip),b,14328,a)]. 14330 L(T(x \ 1,y * (T(y,z) * u)),y,y) = T(T(x,K(y,z)) \ 1,u). [para(14329(a,1),12206(a,1,1))]. 14331 T(x \ 1,y \ (T(y,z) * u)) = T(T(x,K(y,z)) \ 1,u). [hyper(58,a,14298,a(flip),b,14330,a)]. 14332 T(T(x,K(y,z)) \ 1,u) = T(x \ 1,K(y,z) * u). [para(2748(a,1),14331(a,1,2)),flip(a)]. 14333 T(T(x \ 1,K(y,z) * u),K(y,z) * u) = L(x,y,K(z,u)) \ 1. [para(14332(a,1),12792(a,1,1))]. 14334 L(x,y,K(z,u)) = x. [hyper(2781,a,14333,a),flip(a)]. 14336 R(x,y,K(z,u)) = x. [hyper(13036,a,14334,a)]. 14337 T(x,a(y,z,u)) = x. [hyper(10836,a,14334,a)]. 14338 L(x,y,T(z,u)) = L(x,y,z). [hyper(10760,a,14334,a)]. 14339 a(x,y,K(z,u)) = 1. [hyper(10752,a,14334,a)]. 14340 x / a(y,z,u) = a(y,z,u) \ x. [hyper(10720,a,14334,a),flip(a)]. 14342 (K(x,y) * z) * u = K(x,y) * (z * u). [hyper(1105,a,14334,a),flip(a)]. 14354 L(x,K(y,z),u) = x. [hyper(58,a,10745,a,b,14334,a)]. 14356 a(x,y,z) * u = u * a(x,y,z). [hyper(58,a,10835,a(flip),b,14334,a),flip(a)]. 14358 T(x,L(y,z,u)) = T(x,y). [hyper(58,a,10726,a(flip),b,14334,a)]. 14359 (K(x,y) * z) \ u = z \ (K(y,x) * u). [hyper(58,a,3897,a(flip),b,14334,a)]. 14362 T(a(x,y,z),u) = a(x,y,z). [hyper(215,a,14334,a(flip),b,10835,a(flip))]. 14366 a(x,y,z) \ (u * a(x,y,z)) = u. [hyper(112,a,10835,a(flip),b,14334,a(flip))]. 14367 x \ (a(y,z,u) * x) = a(y,z,u). [hyper(112,a,14334,a(flip),b,10835,a(flip))]. 14368 L(x,y,K(z,u)) != w | x = w. [para(14334(a,1),45(a,2))]. 14371 (K(x,y) * z) / u = K(x,y) * (z / u). [para(14334(a,1),471(a,1,2))]. 14381 (x * y) * K(z,u) = x * (y * K(z,u)). [para(14334(a,1),10706(a,1,1)),flip(a)]. 14382 x * (a(y,z,u) \ 1) = a(y,z,u) \ x. [para(14334(a,1),10719(a,1,2)),flip(a)]. 14384 (x * K(y,z)) * u = x * (K(y,z) * u). [para(14334(a,1),11725(a,1,1)),flip(a)]. 14387 R(x,y,T(z,u)) = R(x,y,z). [hyper(7037,a,14336,a)]. 14392 x \ (y * K(z,u)) = (x \ y) * K(z,u). [para(14336(a,1),445(a,1,1))]. 14399 T(x,a(y,z,u) \ 1) = x. [hyper(4835,a,14337,a)]. 14401 1 / (a(x,y,z) \ u) = a(x,y,z) / u. [hyper(3083,a,14337,a),flip(a)]. 14413 T(x,a(y,z,u)) != w | x = w. [para(14337(a,1),44(a,2))]. 14414 a(x,y,z) \ u != w | w * a(x,y,z) = u. [para(14337(a,1),128(a,1)),flip(a)]. 14415 a(x,y,z) * u != w | u * a(x,y,z) = w. [para(14337(a,1),248(a,1,2))]. 14416 (a(x,y,z) * u) * w = (u * a(x,y,z)) * w. [para(14337(a,1),204(a,1,1,2))]. 14418 (a(x,y,z) * u) * w != v5 | (u * a(x,y,z)) * w = v5. [para(14337(a,1),486(a,1,1,2))]. 14419 x \ (a(y,z,u) \ x) = a(y,z,u) \ 1. [para(14337(a,1),679(a,1,1))]. 14421 a(x,y,z) / (u \ 1) = u * a(x,y,z). [para(14337(a,1),2241(a,1,2))]. 14422 (1 / x) * a(y,z,u) = a(y,z,u) / x. [para(14337(a,1),2242(a,1,2)),flip(a)]. 14423 a(x,y,z) * (u \ 1) = u \ a(x,y,z). [para(14337(a,1),2935(a,1,1)),flip(a)]. 14424 (a(x,y,z) / u) \ 1 = a(x,y,z) \ u. [para(14337(a,1),3041(a,1,1))]. 14427 K(a(x,y,z),u) = 1. [hyper(10284,a,14339,a)]. 14433 L(K(x,y),z,u) = K(x,y). [hyper(47,a,14339,a)]. 14438 K(x,y) * ((z * K(x,y)) \ u) = z \ u. [hyper(826,a,14354,a)]. 14455 K(a(x,y,z),u) * w = w. [para(14427(a,2),2(a,1,1))]. 14467 x * T(y,L(x,z,u)) = y * x. [hyper(114,a,14358,a,b,17,a(flip))]. 14468 T(x,R(y,z,u)) = T(x,y). [hyper(58,a,10615,a,b,14358,a)]. 14469 L(x,y,z) * T(u,x) = u * L(x,y,z). [hyper(114,a,14358,a(flip),b,17,a(flip))]. 14487 T(x,a(y,z,u) \ 1) != w | x = w. [para(14399(a,1),44(a,2))]. 14489 K(L(x,y,z),u) = K(x,u). [hyper(6535,a,14433,a)]. 14501 K(x,(y \ z) \ u) = K(x,z \ (y * u)). [hyper(58,a,7872,a(flip),b,14433,a),flip(a)]. 14516 (a(x,y,z) * u) \ w = (u * a(x,y,z)) \ w. [hyper(112,a,14455,a(flip),b,9539,a)]. 14518 T(1 / (R(x,y,z) \ u),x) = R(x,y,z) / u. [hyper(3083,a,14468,a),flip(a)]. 14520 T(R(x,y,z) \ u,x) = u / R(x,y,z). [hyper(2811,a,14468,a),flip(a)]. 14531 T(x,y) * (R(y,z,u) \ 1) = R(y,z,u) \ x. [para(14468(a,1),676(a,1,1))]. 14534 T(x,y) * R(y,z,u) = R(y,z,u) * x. [para(14468(a,1),2778(a,1,1))]. 14535 T((x / R(y,z,u)) \ 1,y) != w | x \ R(y,z,u) = w. [para(14468(a,1),2913(a,1))]. 14547 L(x,y,z) * K(x,u) = L(T(x,u),y,z). [hyper(114,a,14489,a(flip),b,2735,a)]. 14565 L(x,T(y,z),u) = L(x,y,u). [hyper(58,a,12467,a,b,14338,a)]. 14569 L(x,y,z * u) = L(x,y,u * z). [hyper(58,a,8987,a(flip),b,14338,a)]. 14570 L(x,y,z / u) = L(x,y,u \ z). [hyper(58,a,8973,a(flip),b,14338,a)]. 14573 L(x,y,(1 / z) \ u) = L(x,y,u * z). [para(368(a,1),14338(a,1,3)),flip(a)]. 14586 ((x * y) * a(z,u,w)) / x = x * (y * (x \ a(z,u,w))). [para(14362(a,1),1144(a,1,1,2))]. 14587 (x * a(y,z,u)) * T(w,x) = w * T(x * a(y,z,u),x). [para(14362(a,1),1173(a,1,2,1,2)),flip(a)]. 14588 T(x \ L(x,y,z),u) = a(x \ 1,z,y). [para(1181(a,1),14362(a,1,1))]. 14592 x * (L(a(y,z,u),w,v5) \ 1) = L(a(y,z,u),w,v5) \ x. [para(14362(a,1),3003(a,1,1,1)),flip(a)]. 14597 L(x,y,T(z,u)) != w | L(x,y,z) = w. [para(7022(a,1),14368(a,1))]. 14610 R(x,T(y,z),u) = R(x,y,u). [hyper(58,a,13007,a,b,14387,a)]. 14616 R(x,y,(z \ u) \ u) = R(x,y,z). [para(99(a,1),14387(a,1,3))]. 14623 L(x,y * z,u) = L(x,z * y,u). [hyper(9256,a,14565,a)]. 14634 L(x,y * (z \ 1),u) = L(x,z \ y,u). [para(383(a,1),14565(a,1,2))]. 14641 L(x,y * z,u) != w | L(x,z * y,u) = w. [para(14565(a,1),9256(a,1))]. 14653 R(x,L(T(y,z),u,w),v5) = R(x,L(y,u,w),v5). [para(20(a,2),14610(a,1,2))]. 14656 a(x,y,z) * (u * L(z,y,x)) = u * z. [hyper(58,a,12410,a,b,14467,a)]. 14657 (x / L(y,z,u)) * y = y * (L(y,z,u) \ x). [para(100(a,1),14467(a,1,2)),flip(a)]. 14659 x * a(y,z,u \ 1) = a(u,y,z) \ x. [hyper(12461,a,14340,a)]. 14660 a(x \ 1,y,z) \ u = u * a(y,z,x). [hyper(12362,a,14340,a),flip(a)]. 14665 x * a(y \ 1,z,u) = a(z,u,y) \ x. [hyper(58,a,12360,a,b,14340,a)]. 14666 x * (y \ L(y,z,u)) = a(u,z,y) \ x. [hyper(58,a,12326,a,b,14340,a)]. 14667 T(a(x,y,z) \ u,u) = a(x,y,z) \ u. [hyper(58,a,10302,a,b,14340,a)]. 14673 (x \ y) \ (L(x,z,u) \ y) = a(u,z,x). [hyper(12424,a,14356,a)]. 14674 (x \ y) * a(z,u,x) = L(x,u,z) \ y. [hyper(12368,a,14356,a),flip(a)]. 14675 (a(x,y,z) \ 1) \ u = u * a(x,y,z). [hyper(10823,a,14356,a)]. 14676 a(x,y,z) * (u * x) = u * R(x,y,z). [hyper(272,a,13810,a(flip),b,14356,a),flip(a)]. 14677 x * (a(y,z,u) * w) = x * (w * a(y,z,u)). [hyper(114,a,14356,a,b,4,a)]. 14679 a(x,y,z) \ (u \ z) = u \ L(z,y,x). [hyper(112,a,12496,a(flip),b,14356,a)]. 14681 a(x,y,z \ 1) \ u = u * a(z,x,y). [hyper(58,a,12364,a,b,14356,a)]. 14682 x * (L(x,y,z) \ u) = u * a(z,y,x). [hyper(58,a,12344,a,b,14356,a)]. 14693 (a(x,y,z) * u) \ w != v5 | (u * a(x,y,z)) \ w = v5. [para(14366(a,1),298(a,1,1,2))]. 14695 x * (y * a(z,u,w)) != v5 | x * (a(z,u,w) * y) = v5. [para(14367(a,1),288(a,1,2,2))]. 14698 L(x,y,z * (u \ (u / w))) = L(x,y,w \ z). [hyper(272,a,9094,a(flip),b,14569,a),flip(a)]. 14703 L(x,y,z \ (u * T(z * w,z))) = L(x,y,z * ((z \ u) * w)). [para(1157(a,1),14570(a,1,3)),flip(a)]. 14705 L(x,y * (1 / z),u) = L(x,z \ y,u). [hyper(272,a,9194,a(flip),b,14623,a),flip(a)]. 14707 L(x,y * (z \ 1),u) != w | L(x,z \ y,u) = w. [para(14623(a,1),10477(a,1))]. 14716 L(x,y,L(T(z,u),w,v5)) != v6 | L(x,y,L(z,w,v5)) = v6. [para(20(a,2),14597(a,1,3))]. 14718 L(x,y,(z \ u) \ u) != w | L(x,y,z) = w. [para(99(a,1),14597(a,1,3))]. 14719 L(x,y,z * (u \ 1)) != w | L(x,y,u \ z) = w. [para(383(a,1),14597(a,1,3))]. 14721 L(x,y,z / u) != w | L(x,y,u \ z) = w. [para(2775(a,1),14597(a,1,3))]. 14722 L(x,y,(z / u) \ 1) != w | L(x,y,z \ u) = w. [para(2768(a,1),14597(a,1,3))]. 14724 L(x,y,(1 / z) * u) != w | L(x,y,z \ u) = w. [para(3815(a,1),14597(a,1,3))]. 14726 L(x,y,z * u) != w | L(x,y,u * z) = w. [para(8987(a,1),14597(a,1))]. 14727 L(x,T(y,z),u) != w | L(x,y,u) = w. [para(12467(a,2),14597(a,1))]. 14732 L(x,(y * z) \ z,u) != w | L(x,y \ 1,u) = w. [para(2258(a,1),14727(a,1,2))]. 14741 ((K(x,y) * z) * u) \ (K(x,y) * (z * (u * w))) = L(w,u,K(x,y) * z). [hyper(112,a,14342,a(flip),b,87,a)]. 14744 (x * (K(y,z) * u)) \ (x * (K(y,z) * (u * w))) != v5 | L(w,K(y,z) * u,x) = v5. [para(14342(a,1),430(a,1,2,2))]. 14746 K(x,y) * ((T(x,y) \ z) * u) = (x \ z) * u. [para(3174(a,1),14342(a,1,1)),flip(a)]. 14748 K(x,y) * ((T(x,y) * z) * u) = (x * z) * u. [para(3888(a,1),14342(a,1,1)),flip(a)]. 14750 K(x,y) * ((x / z) * u) = (T(x,y) / z) * u. [para(5591(a,1),14342(a,1,1)),flip(a)]. 14752 (x * y) \ (K(x,z) * u) = (T(x,z) * y) \ u. [para(2694(a,1),14359(a,1,1)),flip(a)]. 14756 (x * (y \ 1)) * K(z,u) = x * (y \ K(z,u)). [hyper(272,a,5617,a(flip),b,14381,a),flip(a)]. 14775 (x \ 1) \ (a(y,z,u) \ ((x \ 1) * w)) = (w * ((a(y,z,u) \ 1) * x)) / x. [hyper(112,a,14382,a(flip),b,7049,a)]. 14776 (x * (a(y,z,u) \ (x \ w))) * x = w * T(x * (a(y,z,u) \ 1),x). [para(14382(a,1),1163(a,1,1,2))]. 14777 (a(x,y,z) \ (u * (w \ 1))) / (w \ 1) = w \ ((a(x,y,z) \ w) * u). [para(14382(a,1),10820(a,2,2,1))]. 14780 ((x * K(y,z)) * u) \ (x * (K(y,z) * (u * w))) = L(w,u,x * K(y,z)). [hyper(112,a,14384,a(flip),b,87,a)]. 14792 (x \ y) * K(z,z \ y) = x \ (z * (y / z)). [para(2985(a,1),14392(a,1,2)),flip(a)]. 14796 x \ (y * (z * K(u,w))) = (x \ (y * z)) * K(u,w). [para(14381(a,1),14392(a,1,2))]. 14797 x \ (a(y,z,u) \ x) = a(y,z,u \ 1). [hyper(272,a,13652,a,b,14419,a),flip(a)]. 14799 x * T(y * a(z,u,w),y) = x * (y * a(z,u,w)). [para(14421(a,1),694(a,2,2))]. 14800 (1 / x) \ ((a(y,z,u) / x) * w) = (a(y,z,u) * (w * x)) / x. [para(14422(a,1),663(a,1,2,1))]. 14802 x * (y \ a(x \ 1,z,u)) = L(x,u,z) * (y \ 1). [para(14423(a,1),8312(a,1,2))]. 14804 K(x,y) * ((z * T(x,y)) \ u) = (z * x) \ u. [para(3664(a,1),14438(a,1,2,1))]. 14812 K(x,y \ (z * u)) = K(x,(y \ z) * u). [hyper(8615,a,14501,a),flip(a)]. 14817 x * K(y \ z,z \ (y * x)) = (y \ z) * (x / (y \ z)). [para(14501(a,1),2985(a,1,2))]. 14818 T((x / R(y,z,u)) \ 1,y) = (y * (R(y,z,u) \ x)) \ y. [para(14520(a,1),2822(a,1,1,1))]. 14820 R(x,y,z) = T(y * z,x) \ ((x * y) * z). [hyper(112,a,93,a(flip),b,14534,a),flip(a)]. 14821 a(x,y,z) \ K(x,u) = x \ L(T(x,u),z,y). [hyper(112,a,14547,a(flip),b,13673,a),flip(a)]. 14822 L(x,y,T(z * u,w)) = L(x,y,(1 / u) \ z). [hyper(272,a,14338,a,b,14573,a)]. 14824 L(x \ L(x,y,z),u,w) * v5 = v5 * L(a(x \ 1,z,y),u,w). [para(14588(a,1),213(a,1,2,1)),flip(a)]. 14825 L(x \ L(x,y,z),u,w) * (w * u) = w * (u * a(x \ 1,z,y)). [para(14588(a,1),547(a,1,2,2)),flip(a)]. 14827 x * L(x \ 1,y \ z,u) = a(x,u,z * (y \ 1)). [hyper(114,a,14634,a(flip),b,1184,a(flip))]. 14832 a(x,y,z) \ (u * a(z,w,v5)) = (u / L(z,v5,w)) * L(z,y,x). [hyper(112,a,13675,a(flip),b,14656,a)]. 14833 (x \ y) \ (R(x,z,u) \ y) = a(z,u,x \ 1). [hyper(112,a,13002,a(flip),b,14659,a)]. 14834 (x * L(y,z,u)) / y = a(u,z,y) \ x. [hyper(58,a,12313,a,b,14666,a)]. 14837 (x \ y) \ (L(x,z,u) \ y) != w | a(x,u,z) = w. [para(14673(a,2),13693(a,1))]. 14838 T(x,y) \ a(z,u,y) = L(y,u,z) \ (x \ y). [hyper(10315,a,14674,a)]. 14839 ((1 / x) * (a(y,z,u) \ 1)) \ (w / x) = ((x * w) * a(y,z,u)) / x. [para(14675(a,1),777(a,2,1))]. 14840 a(x,y,z) * (u * z) = u * R(z,x,y). [para(13641(a,2),14676(a,1,1))]. 14844 L(x,y,z) * (u \ x) = x * (u \ L(x,y,z)). [para(14679(a,1),12416(a,1,2)),flip(a)]. 14845 (x * a(y,z,u)) \ 1 = x \ a(z,u,y \ 1). [para(14681(a,1),10262(a,1,1))]. 14846 a(x,y,z) \ (u * a(w,v5,z)) = L(z,y,x) * (L(z,v5,w) \ u). [hyper(112,a,14682,a(flip),b,12348,a)]. 14848 ((1 / x) * (1 / y)) \ (((1 / x) * ((1 / y) * L(z,y \ (1 / x),u))) * u) = L(z,y,x) * u. [para(14705(a,1),14001(a,1,2,1,2,2))]. 14849 a(x,y \ z,u) \ w = w * a(x,z \ y,u). [hyper(114,a,13642,a(flip),b,14797,a),flip(a)]. 14850 K(x,(y \ z) * (z \ u)) = K(x,y \ u). [para(5(a,1),14812(a,1,2,2)),flip(a)]. 14851 (a(x,y,z) \ u) * z = u * L(z,y,x). [hyper(125,a,14834,a)]. 14852 a(x,y,z \ u) * u = z * R(z \ u,x,y). [hyper(288,a,14840,a)]. 14853 (a(x,y,z) \ u) * x = u * L(x,z,y). [para(13641(a,1),14851(a,1,1,1))]. 14855 x * L(y,z,u) != w * y | a(y,u,z) \ x = w. [para(14853(a,1),39(a,1))]. 14856 a(x,y,z \ 1) \ u != w | u * a(z,x,y) = w. [para(12364(a,2),14415(a,1))]. 14870 L(x,y,z \ L(z,u,w)) != v5 | L(x,y,a(z \ 1,w,u)) = v5. [para(2511(a,1),14718(a,1,3,1))]. 14871 L(x,y,z * (1 / u)) != w | L(x,y,u \ z) = w. [para(8979(a,2),14721(a,1))]. 14879 L(x,y,T(z * u,w)) != v5 | L(x,y,u * z) = v5. [para(14338(a,2),14726(a,1))]. 14893 x / (x * (R(x,y,z) \ u)) = R(x,y,z) / u. [hyper(3618,a,14518,a)]. 14894 L(x,y,(z * (u * w)) \ (z * w)) = R(x,L(u,w,z),y). [hyper(58,a,13732,a,b,14653,a)]. 14896 x \ (L(x,y,y) * z) = z * a(x,y,y). [hyper(112,a,4780,a(flip),b,14677,a(flip))]. 14897 x \ (y * L(x,z,z)) = T(y,x) * a(x,z,z). [para(14469(a,1),14896(a,1,2))]. 14900 (T(x,y) * z) \ ((T(x,y) * u) * w) = (x * z) \ ((x * u) * w). [para(14748(a,1),14752(a,1,2)),flip(a)]. 14902 (x \ a(y,z,u)) * K(w,v5) = a(y,z,u) * (x \ K(w,v5)). [para(14423(a,1),14756(a,1,1))]. 14904 R(x \ 1,y,z) = R(x,y,z) \ 1. [hyper(33,a,13648,a(flip),b,14833,a)]. 14905 R(T(x,x \ y),z,u) \ 1 = R(T(1 / x,y),z,u). [para(3517(a,1),14904(a,1,1)),flip(a)]. 14906 a(x,y,a(x,z,u) * (x * (w \ L(x,u,z)))) = a(y,w,x \ 1). [para(14844(a,1),13849(a,1,3,2))]. 14907 x * ((a(y,z,u) * x) \ 1) = a(z,u,y \ 1). [hyper(114,a,14516,a,b,14845,a(flip))]. 14908 a(x,y \ a(z,u,w \ 1),v5) != v6 | a(x,a(w,z,u) \ (y \ 1),v5) = v6. [para(14845(a,1),9122(a,1,2))]. 14909 a(x,R(y,z,u) \ ((w / y) \ 1),v5) = a(x,w \ a(z,u,y \ 1),v5). [para(14845(a,1),13817(a,2,2))]. 14910 x \ y != y * a(z,u \ w,v5) | a(z,w \ u,v5) = x. [para(14849(a,1),43(a,1)),flip(a)]. 14911 x * a(x,y \ z,u) != w | L(x,u,z \ y) = w. [para(14849(a,1),13663(a,1))]. 14915 x / (a(x,y,z) \ u) = R(x,y,z) / u. [para(13018(a,1),14893(a,1,2))]. 14916 a(x,y,z) \ (u \ R(x,y,z)) = u \ x. [hyper(31,a,161,a,b,14915,a),flip(a)]. 14917 (x \ y) * a(y,z,u) = x \ R(y,z,u). [hyper(14414,a,14916,a)]. 14918 a(x,y,z) * (u \ x) = u \ R(x,y,z). [hyper(127,a,14916,a)]. 14919 a(x,y,z) \ R(x,u,w) = a(x,u,w) * L(x,z,y). [hyper(114,a,13661,a,b,14916,a),flip(a)]. 14920 a(x,y,(z * u) \ R(z,w,v5)) = a(x,y,u \ a(z,w,v5)). [para(14917(a,1),10013(a,1,3))]. 14922 T(a(L(x,y,y),z,u),x) * a(x,y,y) = x \ R(L(x,y,y),z,u). [para(12964(a,2),14897(a,1,2)),flip(a)]. 14923 (R(x,y,z) \ u) * ((x \ u) \ 1) = a(y,z,x \ 1). [para(13003(a,1),14907(a,1,2,1))]. 14925 L(x,y,(z \ 1) \ (u \ 1)) != w | L(x,y,u \ z) = w. [para(8940(a,2),14719(a,1))]. 14926 L(R(x,y,z),z,z) != u | L(x,z,y \ (z \ 1)) = u. [para(9109(a,2),14719(a,1))]. 14928 R(x,y / z,u) = L(x,u,y \ z). [hyper(14722,a,13628,a(flip)),flip(a)]. 14930 L(x,y,(z / u) \ ((1 / u) * w)) = L(x,y,(w \ (u * z)) \ u). [hyper(58,a,13733,a,b,14928,a)]. 14931 L(x,y,((z * u) * w) \ (u * w)) = R(x,R(z,u,w),y). [para(15(a,2),14928(a,1,2)),flip(a)]. 14942 R(x,y \ z,u) != w | L(x,u,z \ y) = w. [para(12970(a,2),14911(a,1))]. 14945 R(x,L(y \ 1,z,u),w) != v5 | L(x,w,a(y,u,z) \ y) = v5. [para(1184(a,2),14942(a,1,2))]. 14956 (x * y) \ (x * ((y * z) * K(u,w))) = L(z,y,x) * K(u,w). [para(13(a,2),14796(a,2,1))]. 14958 x * ((x * (L(x,y,z) \ u)) \ 1) = L(x,y,z) * (u \ 1). [para(10300(a,2),14802(a,1,2))]. 14959 a(x,y,z * (u \ 1)) = a(x,y,u \ z). [hyper(1204,a,14827,a),flip(a)]. 14960 a(x,y,z * (u \ 1)) != w | a(x,y,u \ z) = w. [para(14827(a,1),1204(a,1))]. 14961 a(x,y,z / u) = a(x,y,u \ z). [hyper(58,a,9240,a(flip),b,14959,a)]. 14962 a(x,y,(1 / z) \ u) = a(x,y,u * z). [para(74(a,1),14959(a,1,3,2)),flip(a)]. 14964 a(x,y,((z \ u) * w) \ v5) = a(x,y,v5 * (w \ (u \ z))). [hyper(10051,a,14961,a),flip(a)]. 14967 a(x \ 1,y,z \ (u / x)) = a(x \ 1,y,x \ (z \ u)). [hyper(58,a,12941,a(flip),b,14961,a)]. 14968 a(x,y,(z \ u) \ w) = a(x,y,w * (u \ z)). [hyper(58,a,9312,a(flip),b,14961,a),flip(a)]. 14969 a(x,y,(z \ u) \ u) = a(x,y,z). [para(72(a,1),14961(a,1,3)),flip(a)]. 14970 a(x,y,z \ (u * T(z * w,z))) = a(x,y,z * ((z \ u) * w)). [para(1157(a,1),14961(a,1,3)),flip(a)]. 14972 a(x,y,z \ (u * (((u \ w) * (z * u)) / u))) = a(x,y,L(w,u \ (u \ 1),z \ 1)). [para(7167(a,1),14961(a,1,3)),flip(a)]. 14974 a(x,y,z \ (x * u)) = a(x,y,u * (z \ x)). [hyper(58,a,12940,a(flip),b,14968,a)]. 14975 a(x,y,z * ((u * w) \ u)) = a(x,y,w \ z). [para(4(a,1),14968(a,1,3,1)),flip(a)]. 14976 a(x,y,(z \ 1) \ u) = a(x,y,u * z). [para(60(a,1),14968(a,2,3,2))]. 14977 a(x,y,z * u) = a(x,y,u * z). [hyper(58,a,9242,a(flip),b,14976,a)]. 14978 a(x,y,z * u) * 1 = a(x,y,u * z). [hyper(272,a,3,a,b,14977,a)]. 14980 a(x,y,z * u) != w | a(x,y,u * z) = w. [para(14978(a,1),119(a,1)),flip(b)]. 14986 a(x,y,(z \ 1) \ u) != w | a(x,y,z * u) = w. [para(14976(a,2),14980(a,1))]. 14987 x \ L(x,y,(y * z) \ u) = a(y,x,z * (u \ y)). [hyper(12436,a,14974,a)]. 14989 a(x,y * z,y \ 1) = a(y,x,z \ y). [hyper(13786,a,14975,a)]. 14990 a(x,y,L(z \ u,w,v5) \ v6) = a(x,y,v6 * L(u \ z,w,v5)). [para(13843(a,1),14975(a,1,3,2)),flip(a)]. 14991 a(x,y,z \ (x \ 1)) = a(x,y,z \ x). [hyper(13727,a,14989,a)]. 14992 a(x,y * z,y \ 1) = a(x,z \ y,y). [hyper(272,a,13641,a,b,14989,a),flip(a)]. 14993 x \ L(x,y,y * z) = a(y,x,z \ y). [hyper(58,a,12438,a(flip),b,14991,a)]. 14994 x \ L(x,x * y,z) = a(z,y \ x,x). [hyper(13659,a,14992,a)]. 14995 a(x,y * z,y) \ u = u * a(x,z \ y,y). [hyper(114,a,14992,a(flip),b,14797,a),flip(a)]. 14997 L(x,y,y \ z) = L(x,y,y * z). [hyper(33,a,12392,a,b,14993,a)]. 14998 R(x,y,z) = L(x,z,z * (y \ z)). [hyper(58,a,13633,a,b,14997,a)]. 14999 L(x,y,y \ (y \ z)) = L(x,y,z). [para(5(a,1),14997(a,2,3))]. 15000 L(x,T(y,z),y \ (y \ u)) = L(x,T(y,z),u). [para(3947(a,1),14999(a,1,3))]. 15001 R(x,y,z \ x) = L(x,x * z,y). [hyper(33,a,13648,a(flip),b,14994,a)]. 15002 R(x,y,z) = L(x,x * (z \ x),y). [hyper(58,a,14616,a(flip),b,15001,a)]. 15003 L(L(x,y,z),x * (u \ x),w) = L(R(x,w,u),y,z). [para(15002(a,2),25(a,1,1)),flip(a)]. 15004 x \ L(x,y,z \ y) = a(x,y * z,y). [hyper(13777,a,14995,a)]. 15005 a(x,y \ z,y) = a(x,y * z,y). [hyper(34,a,14849,a,b,14995,a)]. 15006 a(x,y \ z,z) \ (a(a(x,z * y,z),u,w) \ K(a(x,z * y,z),v5)) = T(L(T(a(x,z * y,z),v5),w,u),a(x,y \ z,z)). [hyper(359,a,14821,a,b,14995,a(flip)),flip(a)]. 15007 a(x,1 * a(y,z \ u,u),w) = a(x,a(y,u * z,u),w \ 1). [para(14995(a,1),13643(a,1,2))]. 15008 a(x,y \ z,y) = a(y,x,y * z). [hyper(272,a,13641,a(flip),b,15005,a),flip(a)]. 15009 a(x,y,x \ z) = a(x,y,x * z). [hyper(13693,a,15008,a)]. 15010 R(x,y * z,y) = L(x,y,z \ y). [hyper(33,a,12967,a(flip),b,15004,a)]. 15014 a(x,y,(z \ 1) * u) != w | a(x,y,z \ u) = w. [para(14977(a,1),14960(a,1))]. 15016 a(x \ 1,y \ (z \ 1),u) != w | a(u,x,z * y) = w. [para(12391(a,2),14986(a,1))]. 15017 a(x,y,(z \ u) \ 1) != w | a(x,y,u \ z) = w. [para(10017(a,2),15014(a,1))]. 15018 a(x \ 1,y \ z,u) != w | a(u,x,z \ y) = w. [para(12395(a,2),15017(a,1))]. 15019 (x \ y) \ (x \ (R(x,z,u) \ y)) = R(T(1 / x,y),z,u). [hyper(58,a,13042,a,b,14905,a)]. 15020 (R(a(x,y * z,y),u,w) \ v5) * ((v5 * a(x,z \ y,y)) \ 1) = a(u,w,a(x,y * z,y) \ 1). [para(14995(a,1),14923(a,1,2,1))]. 15021 a(x,y,x * (z \ x)) \ L(x,u,y) = L(R(x,y,z),u,y). [hyper(58,a,13680,a,b,15003,a)]. 15022 L(x,y,L((z \ 1) \ u,w,v5)) != v6 | L(x,y,L(z * u,w,v5)) = v6. [para(5786(a,1),14716(a,1,3,1))]. 15028 L(R(x,y,z \ 1),z \ 1,z \ 1) != u | L(x,z \ 1,y \ z) = u. [para(9107(a,2),14925(a,1))]. 15031 T(x,y * a(z,u,w)) = T(x,y). [hyper(215,a,14799,a(flip),b,14587,a)]. 15033 T(x,a(y,z,u) * w) = T(x,w). [hyper(10988,a,15031,a)]. 15034 T(x,y \ a(z,u,w)) = T(x,y \ 1). [hyper(6112,a,15031,a)]. 15039 T(x,y) * (y * a(z,u,w)) = (y * a(z,u,w)) * x. [para(15031(a,1),2778(a,1,1))]. 15042 T(x,a(y,z,u) \ w) = T(x,w). [para(14659(a,1),15031(a,1,2))]. 15045 T(x / (a(y,z,u) * w),w) = (a(y,z,u) * w) \ x. [hyper(581,a,15033,a),flip(a)]. 15057 (1 / (a(x,y,z) \ u)) * T(w,u) = w / (a(x,y,z) \ u). [hyper(114,a,15042,a(flip),b,2920,a(flip))]. 15059 T(x,y) * (a(z,u,w) \ y) = (a(z,u,w) \ y) * x. [para(15042(a,1),2778(a,1,1))]. 15060 T(x,y \ a(z,u,w)) = x * K(x,y \ 1). [hyper(272,a,2674,a(flip),b,15034,a),flip(a)]. 15061 ((a(x,y,z) \ u) \ T(w,a(x,y,z) \ u)) \ 1 = T(w \ (a(x,y,z) \ u),u \ 1). [hyper(58,a,4596,a,b,15034,a)]. 15062 T(x,y \ 1) * (y \ a(z,u,w)) = (y \ a(z,u,w)) * x. [para(15034(a,1),2778(a,1,1))]. 15064 K(x,y \ a(z,u,w)) = K(x,y \ 1). [hyper(2751,a,15060,a)]. 15065 K(x,(a(y,z,u) / w) \ 1) = K(x,w). [para(74(a,1),15064(a,1,2)),flip(a)]. 15066 K(x,a(y,z,u) \ w) = K(x,w). [para(14424(a,1),15065(a,1,2))]. 15067 K(x,a(y,z,u) \ w) = K(w,x). [hyper(272,a,28,a,b,15066,a),flip(a)]. 15075 K(a(x,y,z) \ u,w) = K(u,w). [hyper(508,a,15067,a)]. 15082 T(x,y) * (a(z,u,w) * y) = (y * a(z,u,w)) * x. [hyper(14695,a,15039,a)]. 15083 T(x * a(y,z,u),w) = T(x,w) * a(y,z,u). [hyper(215,a,15039,a(flip),b,3187,a(flip))]. 15085 (x / y) * (y * a(z,u,w)) = (y * a(z,u,w)) * (y \ x). [para(2775(a,1),15039(a,1,1))]. 15086 T(a(x,y,z) \ u,w) = a(x,y,z) \ T(u,w). [hyper(2201,a,15083,a),flip(a)]. 15089 (T(x,y) * a(z,u,w)) * y = y * (x * a(z,u,w)). [para(15083(a,1),2778(a,1,1))]. 15090 T(x \ 1,y) * a(z,u,w) = T(x \ a(z,u,w),y). [para(10250(a,1),15083(a,1,1)),flip(a)]. 15091 (a(x,y,z) \ T(u,w)) \ w = w * (u \ a(x,y,z)). [para(15086(a,1),10297(a,1,1))]. 15093 1 / (a(x,y,z) * u) = a(x,y,z) \ (1 / u). [hyper(4626,a,15045,a),flip(a)]. 15107 (x \ y) * (a(z,u,w) * x) = (x * a(z,u,w)) * (y / x). [para(100(a,1),15082(a,1,1))]. 15108 T(x * y,x) * (a(z,u,w) * x) = x * (x * (y * a(z,u,w))). [para(15089(a,1),3244(a,2,2))]. 15109 ((x * y) \ y) * a(z,u,w) = T(x \ a(z,u,w),y). [para(2258(a,1),15090(a,1,1))]. 15110 x * (T(y,x) \ a(z,u,w)) = (a(z,u,w) \ y) \ x. [para(2765(a,1),15091(a,1,1,2)),flip(a)]. 15111 (a(x,y,z) \ a(u,w,v5)) \ v6 = v6 * (a(u,w,v5) \ a(x,y,z)). [para(14362(a,1),15091(a,1,1,2))]. 15112 T(x \ a(y,z,u),y) = (x * y) \ R(y,z,u). [hyper(58,a,14917,a(flip),b,15109,a),flip(a)]. 15113 (a(x,y,z) * u) \ R(u,w,v5) = a(x,y,z) \ T(a(u,w,v5),u). [hyper(58,a,15086,a(flip),b,15112,a),flip(a)]. 15114 T(x,y) * (y \ a(z,u,w)) = (a(z,u,w) \ y) \ x. [hyper(4240,a,15110,a)]. 15115 T((a(x,y,z) \ u) * w,u) = w / (u \ a(x,y,z)). [hyper(113,a,4,a(flip),b,15114,a),flip(a)]. 15116 (x / (y \ 1)) * (y \ a(z,u,w)) = (a(z,u,w) \ y) \ (y * x). [para(680(a,1),15114(a,1,1))]. 15117 x / (a(y,z,u) \ a(w,v5,v6)) = (a(w,v5,v6) \ a(y,z,u)) * x. [hyper(14413,a,15115,a),flip(a)]. 15118 (x * (R(x,y,z) \ u)) \ x = u \ R(x,y,z). [hyper(14535,a,14818,a),flip(a)]. 15119 (R(x,y,z) * u) \ R(x,y,z) = (x * u) \ x. [para(4(a,1),15118(a,1,1,2)),flip(a)]. 15120 (a(x,y,z) \ u) \ x = u \ R(x,y,z). [para(13018(a,1),15118(a,1,1))]. 15121 R(a(x,y,z),u,w) \ R(x,y,z) = a(u,w,a(x,y,z)) \ x. [para(13648(a,2),15120(a,1,1)),flip(a)]. 15122 L(L(x,y,z),u,z) \ x = L(x,y,z) \ R(x,z,u). [para(13680(a,1),15120(a,1,1))]. 15123 ((x * y) \ x) * R(x,z,u) = y \ R(x,z,u). [para(15119(a,1),3299(a,1,1))]. 15125 L(L(x,y,z),u,z) \ x = a(x,z,y) * a(x,z,u). [hyper(272,a,13683,a(flip),b,15122,a),flip(a)]. 15126 1 * (a(x,y,z) * a(x,y,u)) = L(L(x,z,y),u,y) \ x. [hyper(272,a,2,a,b,15125,a)]. 15127 x * (((y / L(x,z,u)) * x) \ 1) = L(x,z,u) * (y \ 1). [para(14657(a,2),14958(a,1,2,1))]. 15128 a(x,y,z * (u \ (w \ 1))) = a(x,y,(w * u) \ z). [para(60(a,1),14964(a,1,3,1,1)),flip(a)]. 15129 a(x,y,((z \ 1) * u) \ w) = a(x,y,w * (u \ z)). [para(60(a,1),14964(a,2,3,2,2))]. 15131 a(x,y,z \ 1) \ L(z,u,x) = L(R(z,x,y),u,x). [para(13734(a,1),15021(a,1,1))]. 15132 L(x,y,z) * a(x,z,u) = L(R(x,z,u),y,z). [hyper(14856,a,15131,a)]. 15133 a(x,y,z) \ a(y,z,u) = y \ L(R(y,z,u),x,z). [hyper(112,a,15132,a(flip),b,13674,a),flip(a)]. 15134 a(x,y,z) \ a(x,y,u) = x \ L(R(x,y,u),z,y). [hyper(112,a,15132,a(flip),b,13673,a),flip(a)]. 15135 L(x,y,z) * a(z,u,x) = L(R(x,z,u),y,z). [para(13641(a,2),15132(a,1,2))]. 15136 a(x,y,z) \ a(x,u,z) = z \ L(R(z,x,u),y,x). [hyper(112,a,15135,a(flip),b,12416,a),flip(a)]. 15137 (a(x,y,z) / u) * T(w,u) = w / (a(x,y,z) \ u). [para(14401(a,1),15057(a,1,1))]. 15138 T(x * (a(y,z,u) \ w),w) = (a(y,z,u) / w) \ x. [hyper(112,a,6,a(flip),b,15137,a),flip(a)]. 15140 T((a(x,y,z) \ u) * w,u) = (a(x,y,z) / u) \ T(w,u). [para(15059(a,1),15138(a,1,1))]. 15141 (x \ a(y,z,u)) * ((x \ 1) \ w) = (w / (x \ 1)) * (x \ a(y,z,u)). [para(2775(a,1),15062(a,1,1)),flip(a)]. 15142 (x / y) * (y * a(z,u,w)) = (a(z,u,w) * y) * (y \ x). [hyper(272,a,14416,a,b,15085,a),flip(a)]. 15143 L(x,y,z) * ((u * L(x,y,z)) \ 1) = x * ((u * x) \ 1). [para(6(a,1),15127(a,1,2,1,1)),flip(a)]. 15144 (a(x,y,z) / u) \ T(w,u) = w / (u \ a(x,y,z)). [hyper(58,a,15115,a(flip),b,15140,a),flip(a)]. 15145 T(x * (y \ a(z,u,w)),y) = (a(z,u,w) / y) * x. [hyper(538,a,15144,a),flip(a)]. 15147 ((a(x,y,z) / u) * w) * u = u * (w * (u \ a(x,y,z))). [para(15145(a,1),2778(a,1,1))]. 15149 (x / y) * (a(z,u,w) * y) = (a(z,u,w) * y) * (y \ x). [hyper(14695,a,15142,a)]. 15150 L(a(x,y,z),z * ((u * z) \ 1),w) = a(x,y,L(z,u \ (1 / L(z,y,x)),w)). [para(15143(a,1),12538(a,1,2))]. 15151 T((1 / (a(x,y,z) * u)) \ (w / u),a(x,y,z) * u) = (a(x,y,z) * u) * (u \ w). [hyper(58,a,368,a,b,15149,a)]. 15152 R(x,R(y \ 1,z,u),w) != v5 | L(x,w,a(y,z \ 1,u) \ y) = v5. [para(13628(a,2),14945(a,1,2))]. 15153 (x * y) \ (x * (y * (z * K(u,w)))) = L(z,y,x) * K(u,w). [para(14381(a,1),14956(a,1,2,2))]. 15155 L(x * K(y,z),u,w) = L(x,u,w) * K(y,z). [hyper(430,a,15153,a)]. 15156 L(T(x,K(y,z)) * K(y,z),u,w) = K(y,z) * L(x,u,w). [hyper(272,a,2787,a(flip),b,15155,a),flip(a)]. 15157 L(x * y,z,u) * K(y,w) = L(x * T(y,w),z,u). [para(3664(a,1),15155(a,1,1)),flip(a)]. 15159 L(x \ 1,y,z) * K(u,w) = L(x \ K(u,w),y,z). [para(5586(a,1),15155(a,1,1)),flip(a)]. 15160 (x \ a(x,y,z)) * K(u,w) = L(x \ K(u,w),z,y). [para(1184(a,1),15159(a,1,1))]. 15161 a(x,y,z) * (x \ K(u,w)) = L(x \ K(u,w),z,y). [hyper(58,a,14902,a(flip),b,15160,a)]. 15162 (x \ K(y,z)) \ L(x \ K(y,z),u,w) = a(x,w,u). [hyper(30,a,2495,a,b,15161,a)]. 15163 L(K(x,y) * z,u,w) = K(x,y) * L(z,u,w). [para(2778(a,1),15156(a,1,1))]. 15164 K(x,y) * L(y,z,u) = L(T(y,x),z,u). [para(2692(a,2),15163(a,1,1)),flip(a)]. 15165 K(x,y) * L(T(x,y) \ z,u,w) = L(x \ z,u,w). [para(3174(a,1),15163(a,1,1)),flip(a)]. 15169 L(x \ L(x,y,z),u,w) * v5 = v5 * (L(a(z,y,x),u,w) \ 1). [para(13742(a,1),14824(a,2,2))]. 15170 a(x,y,z) \ (u * a(z,w,v5)) = L(z,y,x) * (L(z,v5,w) \ u). [para(13641(a,1),14846(a,1,2,2))]. 15171 ((x \ y) * z) \ ((T(y / x,x) * u) * w) = ((y / x) * z) \ (((y / x) * u) * w). [para(100(a,1),14900(a,1,1,1))]. 15172 a(x,y,R(x,z,u) * (w \ L(x,u,z))) = a(y,w,x \ 1). [para(13004(a,1),14906(a,1,3))]. 15173 L(x,y,(z / u) \ ((1 / u) * w)) = L(x,y,((u * z) \ w) * u). [hyper(272,a,9093,a(flip),b,14930,a),flip(a)]. 15174 a(x,a(y,z * u,z),w \ 1) = a(x,a(y,u \ z,z),w). [para(2(a,1),15007(a,1,2)),flip(a)]. 15175 (x * a(y,z,u)) * (x * w) = x * (x * (w * a(y,z,u))). [hyper(58,a,15082,a(flip),b,15108,a)]. 15176 x \ ((x * a(y,z,u)) * w) = x * ((x \ w) * a(y,z,u)). [hyper(518,a,15175,a)]. 15177 (x * ((x \ y) * a(z,u,w))) / y = L(a(z,u,w),x,y \ 1). [para(15176(a,1),7165(a,1,1))]. 15178 L(T(a(x,y,z),u),w \ u,w) = L(a(x,y,z),w,u \ 1). [hyper(58,a,3652,a(flip),b,15177,a)]. 15179 L(a(x,y,z),u \ w,u) = L(a(x,y,z),u,w \ 1). [para(14362(a,1),15178(a,1,1))]. 15180 L(a(x,y,z),u,w \ 1) = L(a(x,y,z),w,u). [hyper(58,a,13596,a(flip),b,15179,a),flip(a)]. 15182 L(a(x,y,z),u \ 1,w) = L(a(x,y,z),w,u). [hyper(14718,a,15180,a),flip(a)]. 15183 R(a(x,y,z),u,w) = L(a(x,y,z),u,w). [hyper(58,a,13628,a,b,15180,a)]. 15185 R(a(x,y,z),u,x) = a(x,y,z). [hyper(272,a,12932,a(flip),b,15183,a),flip(a)]. 15186 a(x,y,z) \ L(a(x,y,z),u,w) = a(a(x,y,z),u,w). [hyper(112,a,15183,a(flip),b,12970,a(flip))]. 15187 L(R(a(x,y,z),u,w),v5,v5) = L(a(x,y,z),u,w). [para(15183(a,2),10271(a,1,1))]. 15188 (a(x,y,z) * u) * x = a(x,y,z) * (u * x). [para(15185(a,1),93(a,1,1)),flip(a)]. 15189 (a(x,y,z) * u) * x = u * R(x,y,z). [hyper(272,a,14676,a(flip),b,15188,a),flip(a)]. 15191 (x \ R(y,z,u)) * y = (x \ y) * R(y,z,u). [para(14918(a,1),15189(a,1,1))]. 15192 (x \ R(y,z,u)) / y = (y * x) \ R(y,z,u). [hyper(113,a,15123,a(flip),b,15191,a)]. 15193 L(a(x,y,z),u,w \ (u \ 1)) = L(a(x,y,z),w,u). [hyper(14926,a,15187,a)]. 15195 L(a(x,y,z),u \ 1,w) != v5 | L(a(x,y,z),w,w \ u) = v5. [para(15193(a,1),14925(a,1))]. 15196 a(x,a(y,z,u),w \ 1) = a(a(y,z,u),x,w). [hyper(12404,a,15186,a)]. 15197 a(a(x \ 1,y,z),u,w) = a(a(y,z,x),w,u). [hyper(58,a,12356,a(flip),b,15186,a)]. 15198 a(x,y,a(z,u,w)) \ v5 = a(a(z,u,w),y,x) * v5. [para(15186(a,1),12324(a,1,1)),flip(a)]. 15199 a(a(x,y,z),u,w \ 1) != v5 | a(u,a(x,y,z),w) = v5. [para(15186(a,1),12405(a,1))]. 15200 a(x,a(y,z,u),w \ 1) != v5 | a(x,w,a(y,z,u)) = v5. [para(15196(a,2),13691(a,1))]. 15201 L(x,y,a(z \ 1,u,w)) = a(a(u,w,z),x,y) \ x. [para(15197(a,1),12338(a,2,1))]. 15202 a(x,y,a(z,u,w)) \ v5 = a(x,a(z,u,w),y) * v5. [para(13641(a,1),15198(a,2,1))]. 15203 R(a(x,y,z),u,w) \ R(x,y,z) = a(u,a(x,y,z),w) * x. [hyper(58,a,15121,a,b,15202,a)]. 15204 a(x,a(y,z \ u,u),w) = a(x,w,a(y,u * z,u)). [hyper(15200,a,15174,a),flip(a)]. 15205 a(a(x,y,z),u \ 1,w) != v5 | a(w,u,a(x,y,z)) = v5. [para(13641(a,2),15200(a,1))]. 15206 L(a(x,y,z),u,u \ w) = L(a(x,y,z),u,w). [hyper(15195,a,15182,a)]. 15207 L(a(x,y,z),u,u * w) = L(a(x,y,z),u,w). [hyper(58,a,14997,a(flip),b,15206,a)]. 15208 a(x,y,L(z,u,(u * L(z,y,x)) * w)) = L(a(x,y,z),u * L(z,y,x),w). [hyper(58,a,12536,a(flip),b,15207,a)]. 15209 x * (a(y,z,u) \ a(x,w,v5)) = a(y,z,u) \ R(x,w,v5). [hyper(58,a,15120,a(flip),b,15111,a),flip(a)]. 15210 x \ (a(y,z,u) \ R(x,w,v5)) = a(y,z,u) \ a(x,w,v5). [hyper(112,a,15120,a(flip),b,15111,a(flip))]. 15211 x * (a(y,z,u) \ a(x,w,v5 \ 1)) = a(y,z,u) \ L(x,v5,w). [para(13709(a,2),15209(a,2,2))]. 15212 x * (y \ L(R(y,x,z),u,x)) = a(x,u,y) \ R(x,z,y). [para(15136(a,1),15209(a,1,2))]. 15213 x * (a(y,z,u) \ a(x,w,v5)) != v6 | a(y,z,u) \ R(x,w,v5) = v6. [para(15210(a,1),230(a,1,2))]. 15214 x * (y \ L(R(y,x,z),u,x)) = a(x,z,y) * L(x,y,u). [hyper(272,a,14919,a(flip),b,15212,a),flip(a)]. 15215 (a(x,y,z) * u) \ R(u,w,v5) = a(x,y,z) \ a(u,w,v5). [para(1188(a,1),15113(a,2,2))]. 15216 (x * a(y,z,u)) \ R(x,w,v5) = a(y,z,u) \ a(x,w,v5). [hyper(14693,a,15215,a)]. 15218 L(x \ L(x,y,z),u,w) * v5 = L(a(z,y,x),u,w) \ v5. [hyper(272,a,14592,a(flip),b,15169,a),flip(a)]. 15219 a(x,y,z) \ (u * a(x,w,v5)) = L(x,z,y) * (L(x,v5,w) \ u). [hyper(58,a,13658,a(flip),b,15170,a)]. 15220 x * (R(y,z,u) \ L(y,w,x)) = a(y,z,u) \ L(x,y,w). [para(13685(a,1),15211(a,1,2))]. 15221 x * (y \ L(L(y,z,x),u,x)) = a(y,x,z) \ L(x,y,u). [para(13831(a,1),15220(a,1,2))]. 15222 (L(x,y,z) * (L(x,u,w) \ v5)) \ 1 = (v5 * a(x,w,u)) \ a(x,z,y). [para(15219(a,1),10262(a,1,1))]. 15223 L(x \ L(x,y,z),u,w) * (w * u) = w * (a(z,y,x) \ u). [para(14665(a,1),14825(a,2,2))]. 15224 L(a(x,y,z),u,w) \ (w * u) = w * (a(x,y,z) \ u). [hyper(58,a,15218,a(flip),b,15223,a)]. 15225 T(a(L(x,y,y),z,u),x) * a(x,y,y) = x \ L(R(x,z,u),y,y). [para(24(a,1),14922(a,2,2))]. 15226 T(a(x,y,z),x) * a(x,u,u) = x \ L(R(x,y,z),u,u). [para(10333(a,1),15225(a,1,1,1))]. 15228 T(a(x,y,z),y) * a(y,u,u) = y \ L(R(y,z,x),u,u). [para(13641(a,1),15226(a,1,1,1))]. 15229 T(a(x,y,z),y) * a(y,x,x) = y \ L(y,x,z \ x). [para(13731(a,1),15228(a,2,2))]. 15230 T(a(x,y,z),y) * a(y,x,x) = a(y,x * z,x). [hyper(272,a,15004,a(flip),b,15229,a),flip(a)]. 15231 T(a(x,y,z),x) * a(x,z,z) = a(x,z * y,z). [para(13641(a,2),15230(a,1,1,1))]. 15232 a(x,y,z) * a(x,z,z) = a(x,z * y,z). [para(1188(a,1),15231(a,1,1))]. 15234 (x * (a(y,z,u) \ (x \ w))) * x = w * T(a(y,z,u) \ x,x). [para(14382(a,1),14776(a,2,2,1))]. 15235 (x * T(a(y,z,u) \ w,w)) / w = w * (a(y,z,u) \ (w \ x)). [hyper(122,a,15234,a)]. 15236 (x * (a(y,z,u) \ w)) / w = w * (a(y,z,u) \ (w \ x)). [para(14667(a,1),15235(a,1,1,2))]. 15237 (a(x,y,z) \ (1 / u)) \ (w / u) = ((u * w) * a(x,y,z)) / u. [para(14382(a,1),14839(a,1,1))]. 15238 L(R(x,y,z \ 1),z,z) = L(x,z \ 1,y \ z). [hyper(15028,a,13715,a),flip(a)]. 15239 L(L(x,y,z),y,y) = L(x,y \ 1,z \ y). [para(13709(a,2),15238(a,1,1))]. 15240 L(L(x,y,z),y,y) = R(x,z \ y,y). [hyper(272,a,13717,a,b,15239,a),flip(a)]. 15241 L(L(x,y,z),y,y) = L(x,y,y \ z). [hyper(272,a,13637,a(flip),b,15240,a),flip(a)]. 15242 L(x,a(y,z,u),a(y,z,u) \ w) = L(x,a(y,z,u),w). [hyper(10822,a,15241,a),flip(a)]. 15243 L(L(x,y,y),y,z) = L(x,y,y \ z). [hyper(58,a,25,a,b,15241,a)]. 15244 x \ L(L(x,y,y),y,z) = a(x,z \ y,y). [hyper(112,a,15243,a,b,13654,a)]. 15245 L(a(x,y,z) \ u,a(x,y,z),w) = w \ ((w / a(x,y,z)) * u). [hyper(58,a,8957,a(flip),b,15242,a),flip(a)]. 15246 (x \ a(y,z,u)) * ((x \ 1) \ w) = (a(y,z,u) \ x) \ (x * w). [hyper(272,a,15116,a(flip),b,15141,a),flip(a)]. 15247 (a(x,y,z) \ u) \ (u * ((u \ 1) * w)) = (u \ a(x,y,z)) * w. [hyper(507,a,15246,a),flip(a)]. 15248 (a(x,y,z) \ u) \ L(w,u,u) = (u \ a(x,y,z)) * w. [para(3109(a,1),15247(a,1,2))]. 15249 (x \ a(y,z,u)) * L(w,x,x) = (a(y,z,u) \ x) \ w. [para(2965(a,1),15248(a,1,2)),flip(a)]. 15250 (a(x,y,z) * (u * w)) / w = w * ((a(x,y,z) \ w) \ u). [hyper(114,a,15249,a(flip),b,2019,a),flip(a)]. 15251 (1 / x) \ ((a(y,z,u) / x) * w) = x * ((a(y,z,u) \ x) \ w). [hyper(58,a,14800,a,b,15250,a)]. 15252 x * ((a(y \ 1,z,u) \ x) \ w) = (a(z,u,y) \ (w * x)) / x. [para(12358(a,1),15250(a,1,1)),flip(a)]. 15253 T(x * ((a(y,z,u) \ x) \ w),x) = ((a(y,z,u) / x) * w) * x. [para(15251(a,1),368(a,1,1))]. 15254 (a(x,y,z) \ (u * w)) / w = w * ((w * a(x,y,z)) \ u). [para(14660(a,1),15252(a,1,2,1)),flip(a)]. 15255 (x \ 1) * (((x \ 1) * a(y,z,u)) \ w) = x \ ((a(y,z,u) \ x) * w). [hyper(58,a,14777,a(flip),b,15254,a),flip(a)]. 15256 T(x * ((a(y,z,u) \ x) \ w),x) = x * (w * (x \ a(y,z,u))). [hyper(272,a,15147,a(flip),b,15253,a),flip(a)]. 15257 T(x * ((a(y,z,u) \ x) \ w),x) = ((x * w) * a(y,z,u)) / x. [hyper(272,a,14586,a,b,15256,a),flip(a)]. 15258 x \ ((x * y) * a(z,u,w)) = x * ((a(z,u,w) \ x) \ y). [hyper(2830,a,15257,a)]. 15259 x * ((a(y \ 1,z,u) \ x) \ w) = x \ (a(z,u,y) \ (x * w)). [para(14665(a,1),15258(a,1,2)),flip(a)]. 15260 x \ (a(y,z,u) \ (x * w)) = x * ((x * a(y,z,u)) \ w). [para(14660(a,1),15259(a,1,2,1)),flip(a)]. 15261 (x \ 1) * ((x \ a(y,z,u)) \ w) = x \ ((a(y,z,u) \ x) * w). [para(10250(a,1),15255(a,1,2,1))]. 15262 (K(x,y) * (z * u)) \ (K(x,y) * (z * (u * w))) = L(w,u,K(x,y) * z). [para(14342(a,1),14741(a,1,1))]. 15263 (x * (K(y,z) * u)) \ (x * (K(y,z) * (u * w))) = L(w,u,x * K(y,z)). [para(14384(a,1),14780(a,1,1))]. 15265 L(L(x,y,z),z * y,K(u,w)) = L(x,y,K(u,w) * z). [hyper(733,a,15262,a)]. 15267 L(x,y,K(z,u) * w) = L(x,y,w). [hyper(14368,a,15265,a),flip(a)]. 15269 L(x,y,K(z,u) * w) != v5 | L(x,y,w) = v5. [para(15265(a,1),14368(a,1))]. 15270 L(x,y,z * K(u,w)) = L(x,y,z). [hyper(14726,a,15267,a)]. 15276 L(x,y,T(z,u) * w) = L(x,y,z * w). [para(2694(a,1),15267(a,1,3))]. 15277 L(x,y,T(z,u) \ w) = L(x,y,z \ w). [para(3153(a,1),15267(a,1,3)),flip(a)]. 15278 L(x,y,z \ T(u,w)) = L(x,y,z \ u). [para(4070(a,1),15267(a,1,3)),flip(a)]. 15279 L(x,y,z * T(u,w)) = L(x,y,z * u). [para(4502(a,1),15267(a,1,3))]. 15280 L(x,y,(K(z,u) * w) * v5) = L(x,y,w * v5). [para(6244(a,1),15267(a,1,3))]. 15281 L(x,y,z \ (K(u,w) * v5)) = L(x,y,z \ v5). [para(10867(a,1),15267(a,1,3))]. 15282 L(x,y,(T(z,u) \ w) * v5) = L(x,y,(z \ w) * v5). [para(14746(a,1),15267(a,1,3)),flip(a)]. 15289 a(x,y * K(z,u),w) = x * L(x \ 1,w,y). [hyper(114,a,15270,a(flip),b,1184,a(flip)),flip(a)]. 15295 L(x,y,(K(z,u) * w) \ v5) = L(x,y,w \ v5). [para(11512(a,1),15270(a,1,3))]. 15296 L(x,y,R(T(z,u),w,v5) * v6) = L(x,y,R(z,w,v5) * v6). [para(22(a,2),15276(a,1,3,1))]. 15300 L(x,y,((z \ u) \ u) \ w) = L(x,y,z \ w). [para(99(a,1),15277(a,1,3,1))]. 15304 L(x,y,z \ (T(u / w,u) \ v5)) = L(x,y,z \ (v5 * (u \ w))). [para(3081(a,1),15278(a,1,3,2)),flip(a)]. 15308 L(x,y,z * (u * (w \ 1))) = L(x,y,z * (w \ u)). [para(383(a,1),15279(a,1,3,2))]. 15309 L(x,y,z * (T(u / w,u) \ v5)) = L(x,y,z * (v5 * (u \ w))). [para(3081(a,1),15279(a,1,3,2)),flip(a)]. 15312 L(x,y,T(z,u) \ w) != v5 | L(x,y,z \ w) = v5. [para(3885(a,1),15269(a,1,3))]. 15314 L(x,y,(z / u) * w) != v5 | L(x,y,(u \ z) * w) = v5. [para(3186(a,1),15269(a,1,3))]. 15315 L(x,y,z * T(u,w)) != v5 | L(x,y,z * u) = v5. [para(4502(a,1),15269(a,1,3))]. 15316 L(x,y,z \ T(u,w)) != v5 | L(x,y,z \ u) = v5. [para(4500(a,1),15269(a,1,3))]. 15317 L(x,y,z * K(u,w)) != v5 | L(x,y,z) = v5. [para(5225(a,1),15269(a,1,3))]. 15318 L(x,y,(K(z,u) * w) * v5) != v6 | L(x,y,w * v5) = v6. [para(6244(a,1),15269(a,1,3))]. 15320 L(x,y,z * a(u,w,w)) != v5 | L(x,y,z) = v5. [para(4220(a,1),15317(a,1,3,2))]. 15323 L(x,y,z \ (u / w)) != v5 | L(x,y,z \ (w \ u)) = v5. [para(5704(a,1),15317(a,1,3))]. 15384 L(x,y,(z \ T(u,w)) * v5) = L(x,y,(z \ u) * v5). [para(4070(a,1),15280(a,1,3,1)),flip(a)]. 15385 L(x,y,((z * T(u,w)) \ v5) * v6) = L(x,y,((z * u) \ v5) * v6). [para(14804(a,1),15280(a,1,3,1)),flip(a)]. 15386 L(x,y,z \ (T(u,w) \ v5)) = L(x,y,z \ (u \ v5)). [para(3153(a,1),15281(a,1,3,2)),flip(a)]. 15387 L(x,y,z \ ((u / w) \ v5)) = L(x,y,z \ ((w \ u) \ v5)). [para(3950(a,1),15281(a,1,3,2))]. 15388 L(x,y,z \ (u * T(w,v5))) = L(x,y,z \ (u * w)). [para(4502(a,1),15281(a,1,3,2))]. 15390 a(x,y * K(z,u),w) = a(x,y,w). [hyper(272,a,1178,a,b,15289,a),flip(a)]. 15391 a(x,y * K(z,u),w) != v5 | a(x,y,w) = v5. [para(15289(a,2),1204(a,1))]. 15399 a(x,y \ T(z,u),w) = a(x,y \ z,w). [para(1042(a,1),15390(a,1,2))]. 15403 a(x,T(y,z) \ u,w) = a(x,y \ u,w). [para(5302(a,1),15390(a,1,2))]. 15404 a(x,y \ ((z / u) \ 1),w) = a(x,y \ (z \ u),w). [para(2257(a,1),15399(a,1,2,2)),flip(a)]. 15406 a(x,L(y,z,u) \ (w \ y),v5) = a(x,w \ a(u,z,y),v5). [para(14838(a,1),15403(a,1,2))]. 15409 L(x,y,((T(z,u) / w) * v5) \ v6) = L(x,y,((z / w) * v5) \ v6). [para(14750(a,1),15295(a,1,3,1))]. 15410 L(x,y,(z \ (u \ z)) * w) = L(x,y,u \ w). [hyper(58,a,9093,a(flip),b,15300,a)]. 15412 L(x,y,(z \ a(u,w,w)) * v5) != v6 | L(x,y,z \ v5) = v6. [para(9084(a,2),15320(a,1))]. 15413 L(x,y,((z \ u) \ (z \ (R(z,w,v5) \ u))) * v6) = L(x,y,R(z,w,v5) \ v6). [para(13032(a,1),15410(a,1,3,1,2))]. 15415 L(x,y,((1 / z) \ u) \ w) != v5 | L(x,y,(u * z) \ w) = v5. [para(2773(a,1),15312(a,1,3,1))]. 15417 L(x,y,z * (u * (w \ 1))) != v5 | L(x,y,z * (w \ u)) = v5. [para(383(a,1),15315(a,1,3,2))]. 15418 L(x,y,z * ((1 / u) \ w)) != v5 | L(x,y,z * (w * u)) = v5. [para(2773(a,1),15315(a,1,3,2))]. 15420 L(x,y,z \ ((1 / u) * w)) != v5 | L(x,y,z \ (u \ w)) = v5. [para(3815(a,1),15316(a,1,3,2))]. 15425 L(x,y,z * (T(u,w) \ v5)) = L(x,y,(u \ v5) * z). [hyper(14726,a,15282,a)]. 15426 L(x,y,(((z \ 1) \ u) \ w) * v5) = L(x,y,((z * u) \ w) * v5). [para(5786(a,1),15282(a,1,3,1,1))]. 15427 L(x,y,z \ ((u * w) / z)) = L(x,y,(z \ u) * (z \ w)). [para(1136(a,1),15308(a,1,3))]. 15428 L(x,y,((z / u) * w) \ v5) = L(x,y,(w \ (z \ u)) * v5). [hyper(58,a,9111,a(flip),b,15384,a)]. 15430 L(x,y,(z \ (u * (w \ 1))) * v5) = L(x,y,(z \ (w \ u)) * v5). [para(383(a,1),15384(a,1,3,1,2))]. 15431 L(x,y,(z \ ((u \ 1) \ w)) * v5) = L(x,y,(z \ (u * w)) * v5). [para(5786(a,1),15384(a,1,3,1,2))]. 15433 L(x,y,z \ (((u \ 1) \ w) \ v5)) = L(x,y,z \ ((u * w) \ v5)). [para(5786(a,1),15386(a,1,3,2,1))]. 15434 L(x,y,z \ (u * (z * w))) = L(x,y,z * ((z \ u) * w)). [hyper(58,a,14703,a(flip),b,15388,a),flip(a)]. 15435 L(x,y,z \ (u * (w * (v5 \ 1)))) = L(x,y,z \ (u * (v5 \ w))). [para(383(a,1),15388(a,1,3,2,2))]. 15436 a(x,R(y,z,u) \ (w \ y),v5) = a(x,w \ a(z,u,y \ 1),v5). [hyper(58,a,14909,a(flip),b,15404,a),flip(a)]. 15439 L(x,y,z * (T(u,w) \ v5)) != v6 | L(x,y,z * (u \ v5)) = v6. [para(15425(a,2),14726(a,1))]. 15440 L(x,y,(z / u) \ w) != v5 | L(x,y,(z \ u) * w) = v5. [para(9095(a,2),15314(a,1))]. 15441 L(x,y,(T(z,u) \ w) * v5) != v6 | L(x,y,(z \ w) * v5) = v6. [para(3885(a,1),15318(a,1,3,1))]. 15443 L(x,y,L(T(z,u),w,v5) * v6) != v7 | L(x,y,L(z,w,v5) * v6) = v7. [para(15164(a,1),15318(a,1,3,1))]. 15450 L(x,y,((z * u) \ z) * w) != v5 | L(x,y,u \ w) = v5. [para(5669(a,2),15412(a,1,3,1))]. 15454 L(x,y,(z \ (z / u)) * w) != v5 | L(x,y,u \ w) = v5. [para(7(a,1),15450(a,1,3,1,1))]. 15458 L(x,y,z * (u \ (u / w))) != v5 | L(x,y,w \ z) = v5. [para(14569(a,1),15454(a,1))]. 15459 L(x,y,z \ (z \ (u * w))) = L(x,y,(z \ u) * (z \ w)). [hyper(15323,a,15427,a)]. 15462 x \ L(x,y,z * ((z \ u) * w)) = a(y,x,(u * (z * w)) \ z). [hyper(112,a,15434,a(flip),b,12393,a)]. 15463 L(x,T(y,z),(y \ u) * (y \ w)) = L(x,T(y,z),u * w). [hyper(58,a,15000,a(flip),b,15459,a),flip(a)]. 15464 L(x,T(y,z),(y * u) * w) = L(x,T(y,z),u * (y \ w)). [para(4(a,1),15463(a,1,3,1)),flip(a)]. 15465 L(x,T(y,z),(y * u) * w) = L(x,y,u * (y \ w)). [hyper(272,a,14565,a(flip),b,15464,a),flip(a)]. 15466 L(x,y,(y * z) * u) = L(x,y,z * (y \ u)). [hyper(14727,a,15465,a)]. 15469 L(x,y,(z \ (1 / u)) * w) != v5 | L(x,y,(z * u) \ w) = v5. [para(9093(a,1),15415(a,1))]. 15473 L(x,y,(z / u) \ (u \ w)) = L(x,y,((u * z) \ w) * u). [hyper(15420,a,15173,a)]. 15474 L(x,y,((z * u) \ w) * z) = L(x,y,(u \ z) * (z \ w)). [hyper(15440,a,15473,a),flip(a)]. 15475 L(x,y,(z \ u) * (u \ w)) = L(x,y,u * ((u * z) \ w)). [hyper(14726,a,15474,a),flip(a)]. 15476 L(x,y,(((1 / z) * u) \ w) * (1 / z)) = L(x,y,(u \ (1 / z)) * T(w * z,z)). [para(2773(a,2),15474(a,2,3,2))]. 15477 (x * L(y,z,u * ((u * w) \ v5))) \ (x * y) = a((w \ u) * (u \ v5),z,y). [para(15475(a,1),12426(a,1,1,2))]. 15480 L(x,y,z * ((u / w) \ v5)) != v6 | L(x,y,z * ((w \ u) \ v5)) = v6. [para(2775(a,1),15439(a,1,3,2,1))]. 15484 L(x,y,z \ ((u / w) \ v5)) = L(x,y,z \ (v5 * (u \ w))). [hyper(58,a,15386,a(flip),b,15304,a)]. 15486 L(x,y,z \ ((u \ w) \ v5)) = L(x,y,z \ (v5 * (w \ u))). [hyper(58,a,15387,a(flip),b,15484,a)]. 15487 L(x,y,a(z,u,(w \ v5) \ v6) \ (v6 * (v5 \ w))) = L(x,y,L((w \ v5) \ v6,u,z)). [para(12338(a,2),15486(a,1,3)),flip(a)]. 15488 L(x,y,z * ((u / w) \ v5)) = L(x,y,z * (v5 * (u \ w))). [hyper(15439,a,15309,a)]. 15489 L(x,y,((z * u) \ w) * v5) = L(x,y,((u * z) \ w) * v5). [para(98(a,1),15385(a,1,3,1,1))]. 15490 L(x,y,((z * (u / w)) \ v5) * v6) = L(x,y,((z * (w \ u)) \ v5) * v6). [para(100(a,1),15385(a,1,3,1,1,2)),flip(a)]. 15491 L(x,y,((T(z,u) / w) * v5) \ v6) = L(x,y,(v5 \ (z \ w)) * v6). [hyper(272,a,15428,a(flip),b,15409,a),flip(a)]. 15492 L(x,y,((z \ (u \ 1)) * w) * v5) = L(x,y,((u * z) \ w) * v5). [hyper(58,a,9323,a(flip),b,15426,a)]. 15493 L(x,y,(T(z * (u \ 1),w) \ (u \ (w * z))) * v5) = L(x,y,R(w,z,u \ 1) * v5). [para(14820(a,2),15430(a,1,3,1)),flip(a)]. 15494 L(x,y,z \ (u * (w \ (v5 \ 1)))) = L(x,y,z \ ((v5 * w) \ u)). [hyper(58,a,15486,a(flip),b,15433,a)]. 15495 L(x,y,z * ((z \ u) * (w \ 1))) = L(x,y,z \ (u * (w \ z))). [hyper(58,a,15434,a(flip),b,15435,a)]. 15496 a(x,y,z * ((z * u) \ (w \ 1))) = y \ L(y,x,z * ((z \ w) * u)). [hyper(272,a,15128,a,b,15462,a)]. 15497 L(x,y,(z \ (T(u,w) \ v5)) * v6) = L(x,y,(z \ (u \ v5)) * v6). [hyper(58,a,15428,a(flip),b,15491,a)]. 15498 L(x,y,((z \ (u \ 1)) * w) * v5) = L(x,y,((z * u) \ w) * v5). [hyper(272,a,15489,a,b,15492,a),flip(a)]. 15499 L(x,y,z \ (((1 / u) * w) \ v5)) = L(x,y,z \ (v5 * (w \ u))). [para(74(a,1),15494(a,1,3,2,2,2)),flip(a)]. 15500 L(x,y,z \ (u * (w \ z))) = L(x,y,z * (w \ (z \ u))). [hyper(15417,a,15495,a),flip(a)]. 15501 L(x,y,(z \ (((u \ w) \ w) \ v5)) * v6) = L(x,y,(z \ (u \ v5)) * v6). [para(99(a,1),15497(a,1,3,1,2,1))]. 15502 L(x,y,((z * (1 / u)) \ w) * v5) = L(x,y,((z \ u) * w) * v5). [para(74(a,1),15498(a,1,3,1,1,2)),flip(a)]. 15503 L(x,y,((z * (1 / u)) \ w) * v5) = L(x,y,v5 * ((z \ u) * w)). [hyper(272,a,14569,a,b,15502,a),flip(a)]. 15504 L(x,y,((z * (1 / u)) \ w) * v5) != v6 | L(x,y,((z \ u) * w) * v5) = v6. [para(15503(a,2),14726(a,1))]. 15506 L(x,y,z * (u * (w \ v5))) != v6 | L(x,y,z * ((v5 \ w) \ u)) = v6. [para(15488(a,1),15480(a,1))]. 15507 L(x,y,(z \ ((u \ 1) * w)) * v5) = L(x,y,(z \ (u \ w)) * v5). [hyper(58,a,15431,a(flip),b,15501,a)]. 15508 L(x,y,(((z \ 1) * u) \ (z \ (w * u))) * v5) = L(x,y,L(T(w,u),u,z \ 1) * v5). [para(211(a,1),15507(a,1,3,1)),flip(a)]. 15510 L(x,y,((z * (u \ 1)) \ w) * v5) != v6 | L(x,y,((z \ u) * w) * v5) = v6. [para(15490(a,1),15504(a,1))]. 15511 L(x,y,(((z \ 1) * u) \ w) * v5) != v6 | L(x,y,((u \ z) * w) * v5) = v6. [para(15489(a,1),15510(a,1))]. 15512 (x \ 1) \ (a(y,z,u) \ ((x \ 1) * w)) = (w * (a(y,z,u) \ x)) / x. [para(10812(a,1),14775(a,2,1,2))]. 15513 (x \ 1) * (((x \ 1) * a(y,z,u)) \ w) = (w * (a(y,z,u) \ x)) / x. [hyper(58,a,15260,a(flip),b,15512,a)]. 15514 (x \ 1) * ((x \ a(y,z,u)) \ w) = (w * (a(y,z,u) \ x)) / x. [para(10250(a,1),15513(a,1,2,1))]. 15515 (x \ 1) * ((x \ a(y,z,u)) \ w) = x * (a(y,z,u) \ (x \ w)). [hyper(272,a,15236,a(flip),b,15514,a),flip(a)]. 15516 x \ ((a(y,z,u) \ x) * w) = x * (a(y,z,u) \ (x \ w)). [hyper(58,a,15261,a(flip),b,15515,a)]. 15517 a(x,y,L(z,u,(u * L(z,y,x)) * w)) = a(x,y,L(z,u,w)). [hyper(272,a,12536,a(flip),b,15208,a),flip(a)]. 15518 a(x,y,L(z,u,L(z,y,x) * (u \ w))) = a(x,y,L(z,u,w)). [para(15466(a,1),15517(a,1,3))]. 15519 L(x,y,R(T(1 / z,u),w,v5) * v6) = L(x,y,R(z,w,v5) \ v6). [para(15019(a,1),15413(a,1,3,1))]. 15520 a((x \ y) * (y \ z),u,w) = a(y * ((y * x) \ z),u,w). [hyper(12428,a,15477,a),flip(a)]. 15521 a(x * ((x * y) \ z),u,w) = a(u,w,(y \ x) * (x \ z)). [hyper(13691,a,15520,a),flip(a)]. 15522 a(x,y,(z \ u) * (u \ w)) = a(x,y,u * ((u * z) \ w)). [hyper(13691,a,15521,a),flip(a)]. 15523 a(x,y,(z \ u) * (u \ w)) != v5 | a(x,y,u * ((u * z) \ w)) = v5. [para(15521(a,1),13691(a,1))]. 15525 a(x,y,z * ((z * u) \ w)) != v5 | a(x,y,(z \ w) * (u \ z)) = v5. [para(15522(a,1),14980(a,1))]. 15526 L(a(x,y,z),(u * z) \ z,w) = a(x,y,L(z,u \ (1 / L(z,y,x)),w)). [hyper(14707,a,15150,a)]. 15528 a(x,y,L(z,u \ (1 / L(z,y,x)),w)) = L(a(x,y,z),u \ 1,w). [hyper(14732,a,15526,a),flip(a)]. 15529 a(x,y,L(z,u \ (1 / L(z,y,x)),w)) = L(a(x,y,z),w,u). [hyper(272,a,15182,a(flip),b,15528,a),flip(a)]. 15530 a(x,y,L(z,u \ (L(z,y,x) \ 1),w)) = L(a(x,y,z),w,u). [para(2466(a,1),15529(a,1,3))]. 15531 a(x,y,R(z,u,L(z,y,x) * w)) = L(a(x,y,z),u,w). [para(13711(a,1),15530(a,1,3))]. 15532 L(x,K(y,z) * u,w) = L(x,u,w * K(y,z)). [hyper(14744,a,15263,a)]. 15533 L(x,K(y,z) * u,w) = L(x,u,w). [hyper(272,a,15270,a(flip),b,15532,a),flip(a)]. 15534 L(x,K(y,z) * u,w) != v5 | L(x,u,w) = v5. [para(15532(a,2),15317(a,1))]. 15536 L(x,y * K(z,u),w) = L(x,y,w). [hyper(14641,a,15533,a)]. 15542 L(x,y * (K(z,u) * w),v5) = L(x,y * w,v5). [para(6538(a,1),15533(a,1,2)),flip(a)]. 15546 L(x,y \ (z / u),w) = L(x,y \ (u \ z),w). [para(5704(a,1),15536(a,1,2))]. 15548 L(x,(y \ z) \ 1,u) != w | L(x,z \ y,u) = w. [para(11593(a,1),15534(a,1,2))]. 15551 a(x,y,z * (K(u,w) * v5)) = x * L(x \ 1,z * v5,y). [hyper(114,a,15542,a(flip),b,1184,a(flip)),flip(a)]. 15554 x * L(x \ 1,y \ (z \ u),w) = a(x,w,y \ (u / z)). [hyper(114,a,15546,a(flip),b,1184,a(flip))]. 15557 R(x,y,z \ u) != w | L(x,u \ z,y) = w. [para(13717(a,2),15548(a,1))]. 15561 a(x,y,z * (K(u,w) * v5)) = a(x,y,z * v5). [hyper(272,a,1178,a,b,15551,a),flip(a)]. 15562 a(x,y,z * (K(u,w) * v5)) != v6 | a(x,y,z * v5) = v6. [para(15551(a,2),1204(a,1))]. 15564 a(x,y,z * K(u,w)) = a(x,y,z). [para(2881(a,1),15561(a,1,3)),flip(a)]. 15565 a(x,y,z * (u / w)) = a(x,y,z * (w \ u)). [para(2827(a,1),15561(a,1,3,2))]. 15566 a(x,y,K(z,u) * w) = a(x,y,w). [para(3880(a,1),15561(a,1,3)),flip(a)]. 15567 a(x,y,z * a(u,w,w)) = a(x,y,z). [para(4220(a,1),15564(a,1,3,2))]. 15569 a(x,y,z \ (u * w)) = a(x,y,z \ (w * u)). [para(6875(a,1),15564(a,1,3))]. 15570 a(x,y,L(T(z,u),w,v5)) = a(x,y,L(z,w,v5)). [para(14547(a,1),15564(a,1,3))]. 15571 a(x,y,z \ (u * (w / u))) = a(x,y,z \ w). [para(14792(a,1),15564(a,1,3))]. 15572 a(x,y,L(z * T(u,w),v5,v6)) = a(x,y,L(z * u,v5,v6)). [para(15157(a,1),15564(a,1,3))]. 15573 a(x,y * K(z,u),w) = a(x,y,K(v5,v6) * w). [hyper(15391,a,15566,a),flip(a)]. 15577 a(x,y,z \ (K(u,w) * v5)) = a(x,y,z \ v5). [para(10867(a,1),15566(a,1,3))]. 15578 a(x,y,L(T(z,u) \ w,v5,v6)) = a(x,y,L(z \ w,v5,v6)). [para(15165(a,1),15566(a,1,3)),flip(a)]. 15579 a(x,y,a(z,u * w,u)) = a(x,y,a(z,w,u)). [para(15232(a,1),15567(a,1,3))]. 15580 a(x,y,z * ((u \ w) \ v5)) = a(x,y,z * (v5 * (w \ u))). [hyper(9310,a,15565,a),flip(a)]. 15581 a(x,y,z * ((u \ 1) \ (w \ (u \ v5)))) = a(x,y,z * ((u * w) \ (v5 * u))). [para(1171(a,1),15565(a,1,3,2)),flip(a)]. 15582 a(x,y,z * ((K(u,w) * v5) / (u * v6))) = a(x,y,z * ((T(u,w) * v6) \ v5)). [para(14752(a,1),15565(a,2,3,2))]. 15583 a(x,y,L(T(z,u \ 1) \ u,w,v5)) = a(x,y,L((z \ 1) * u,w,v5)). [para(4341(a,1),15570(a,1,3,1))]. 15588 a(x,y,K(z,u) * w) != v5 | a(x,y,w) = v5. [para(15573(a,1),15391(a,1))]. 15591 a(x,y,L(T(z,u),w,v5)) != v6 | a(x,y,L(z,w,v5)) = v6. [para(15164(a,1),15588(a,1,3))]. 15683 a(x,y,z \ (u * T(w,v5))) = a(x,y,z \ (u * w)). [para(4502(a,1),15577(a,1,3,2))]. 15684 a(x,y,(z * u) \ w) = a(x,y,(u * z) \ w). [para(9538(a,1),15577(a,1,3))]. 15685 a(x,y,z * (u \ (w \ 1))) = a(x,y,(u * w) \ z). [hyper(272,a,15128,a,b,15684,a)]. 15686 a(x,y,z \ (T(u,w) * v5)) = a(x,y,z \ (v5 * u)). [hyper(58,a,15569,a,b,15683,a)]. 15687 a(x,y,z \ (u * (z * w))) = a(x,y,z * ((z \ u) * w)). [hyper(58,a,14970,a(flip),b,15683,a),flip(a)]. 15688 a(x,y,z * ((z * u) \ (w \ 1))) = a(x,y,(z * w) \ (u \ z)). [hyper(15523,a,15685,a)]. 15689 a(x,y,z \ ((u \ 1) * w)) = a(x,y,z \ (u \ w)). [para(676(a,1),15686(a,1,3,2)),flip(a)]. 15690 a(x,y,((z \ 1) * u) \ (z \ (w * u))) = a(x,y,L(T(w,u),u,z \ 1)). [para(211(a,1),15689(a,1,3)),flip(a)]. 15692 a(x,y,L(((z \ u) \ 1) * w,v5,v6)) != v7 | a(x,y,L(w * T(z / u,z),v5,v6)) = v7. [para(3346(a,1),15591(a,1,3,1))]. 15693 a(x,y,z \ (u / w)) != v5 | a(x,y,z \ (w \ u)) = v5. [para(15554(a,1),1204(a,1))]. 15694 a(x \ 1,y,z \ (x \ u)) = a(x \ 1,y,x \ (z \ u)). [hyper(15693,a,14967,a)]. 15697 a(x,y,L(z * (u / w),v5,v6)) = a(x,y,L(z * (w \ u),v5,v6)). [para(100(a,1),15572(a,1,3,1,2)),flip(a)]. 15698 a(x,y,z * ((u \ 1) \ w)) = a(x,y,z * (w * u)). [para(60(a,1),15580(a,2,3,2,2))]. 15700 a(x \ 1,y,x \ (z \ u)) = a(y,z \ (x \ u),x \ 1). [hyper(13691,a,15694,a),flip(a)]. 15701 a(x \ 1,y,x \ (z \ u)) = a(x,y,(x \ u) \ z). [hyper(272,a,13645,a(flip),b,15700,a),flip(a)]. 15702 a(x \ 1,y,x \ (z \ u)) = a(x,y,z * (u \ x)). [hyper(272,a,14968,a(flip),b,15701,a),flip(a)]. 15703 a(x,y \ (z \ u),y \ 1) = a(y,x,z * (u \ y)). [hyper(13691,a,15702,a)]. 15704 a(x,y,(z \ u) \ x) = a(x,y,z * (u \ x)). [hyper(13726,a,15703,a)]. 15705 x \ L(x,y,y * (z \ u)) = a(y,x,z * (u \ y)). [hyper(58,a,14993,a,b,15704,a)]. 15706 L(x,y,(y * z) \ u) = L(x,y,y * (z \ u)). [hyper(33,a,14987,a,b,15705,a)]. 15707 a(x,y,x * (z \ u)) \ y = L(y,x,(x * z) \ u). [hyper(272,a,13662,a(flip),b,15706,a)]. 15708 a(x,y,(x * z) \ u) = a(x,y,x * (z \ u)). [hyper(34,a,13662,a(flip),b,15707,a)]. 15709 x \ L(x,y,z * ((z \ u) * w)) = a(y,x,(z * u) \ (w \ z)). [hyper(58,a,15496,a(flip),b,15688,a)]. 15710 L(x,y,(z \ u) * (z * w)) = L(x,y,z * ((z \ w) * u)). [hyper(33,a,12439,a,b,15709,a)]. 15711 L(x,y,z * ((z \ u) * (w \ z))) = L(x,y,w \ (z * u)). [hyper(58,a,15410,a(flip),b,15710,a),flip(a)]. 15712 L(x,y,z * ((z \ u) \ (z \ w))) = L(x,y,u \ (z * w)). [hyper(15506,a,15711,a)]. 15713 L(x,y,(z * u) \ (z * w)) = L(x,y,z * (u \ (z \ w))). [para(4(a,1),15712(a,1,3,2,1)),flip(a)]. 15714 L(x,y,(z * u) \ (z * w)) = L(x,y,z \ (w * (u \ z))). [hyper(272,a,15500,a,b,15713,a),flip(a)]. 15715 L(x,y,z \ (u * ((w * u) \ z))) = R(x,L(w,u,z),y). [hyper(58,a,14894,a(flip),b,15714,a),flip(a)]. 15717 a(x,y,L((z \ 1) * u,w,v5)) = a(x,y,L(z \ u,w,v5)). [hyper(58,a,15578,a(flip),b,15583,a),flip(a)]. 15719 a(x,y,((z \ 1) * u) \ (z \ (w * u))) != v5 | a(x,y,L(w,u,z \ 1)) = v5. [para(15690(a,2),15591(a,1))]. 15720 a(x,y,z * ((u * w) \ (v5 * u))) = a(x,y,z * ((w \ (u \ v5)) * u)). [hyper(58,a,15698,a(flip),b,15581,a),flip(a)]. 15721 a(x,y,z * (K(u,w) * (v5 / (u * v6)))) = a(x,y,z * ((T(u,w) * v6) \ v5)). [para(14371(a,1),15582(a,1,3,2))]. 15722 a(x,y,(z \ (u * w)) * (w \ z)) != v5 | a(x,y,L(u,w,z \ 1)) = v5. [para(15129(a,1),15719(a,1))]. 15723 a(x,y,z * ((T(u,w) * v5) \ v6)) = a(x,y,z * (v6 / (u * v5))). [hyper(15562,a,15721,a),flip(a)]. 15725 a(x,y,z * ((T(u,w) * v5) \ v6)) = a(x,y,z * ((u * v5) \ v6)). [hyper(272,a,15565,a(flip),b,15723,a),flip(a)]. 15726 a(x,y,z * ((u * w) \ v5)) = a(x,y,z * ((w * u) \ v5)). [para(2778(a,1),15725(a,1,3,2,1))]. 15727 a(x,y,(z \ u) * (w \ z)) = a(x,y,z * ((w * z) \ u)). [hyper(15525,a,15726,a)]. 15728 a(x,y,z * ((u * z) \ (w * u))) = a(x,y,L(w,u,z \ 1)). [hyper(15722,a,15727,a),flip(a)]. 15729 a(x,y,z * ((z \ (u \ w)) * u)) = a(x,y,L(w,u,z \ 1)). [hyper(58,a,15720,a(flip),b,15728,a)]. 15730 ((x / y) * z) \ (((x / y) * u) * w) = ((y \ x) * z) \ (((y \ x) * u) * w). [para(100(a,1),15171(a,1,2,1,1)),flip(a)]. 15731 L(x,y,(z \ (1 / u)) * T(w * u,u)) = L(x,y,u \ (((1 / u) * z) \ w)). [hyper(14871,a,15476,a),flip(a)]. 15732 L(x,y,(z \ (1 / u)) * T(w * u,u)) = L(x,y,u \ (w * (z \ u))). [hyper(272,a,15499,a(flip),b,15731,a),flip(a)]. 15733 L(x,y,(z \ (1 / u)) * (w * u)) = L(x,y,u \ (w * (z \ u))). [hyper(15315,a,15732,a)]. 15734 L(x,y,(z * u) \ (w * u)) = L(x,y,u \ (w * (z \ u))). [hyper(15469,a,15733,a)]. 15736 L(x,y,z \ (u * ((w * u) \ z))) = R(x,R(w,u,z),y). [hyper(58,a,14931,a(flip),b,15734,a),flip(a)]. 15737 R(x,R(y,z,u),w) = R(x,L(y,z,u),w). [hyper(58,a,15715,a(flip),b,15736,a),flip(a)]. 15738 L(x,y,a(z,u \ 1,w) \ z) = R(x,L(z \ 1,u,w),y). [hyper(15152,a,15737,a)]. 15739 x \ R(x,R(y,z,u),w) = a(w,x,L(y,z,u)). [hyper(112,a,15737,a,b,13629,a(flip))]. 15740 a(x,y,R(z,u,w)) = a(x,y,L(z,u,w)). [hyper(13639,a,15739,a)]. 15741 a(x,R(y,z,u),w) = a(w,x,L(y,z,u)). [hyper(12990,a,15739,a)]. 15743 a(x,y,L(z,u,L(z,y,x) * w)) = L(a(x,y,z),u,w). [hyper(58,a,15531,a(flip),b,15740,a),flip(a)]. 15744 a(x,y,L(L(z,u,w),w,u)) = a(x,y,z). [para(13755(a,1),15740(a,1,3)),flip(a)]. 15745 a(x,R(y,z,u),w) = a(x,L(y,z,u),w). [hyper(272,a,13641,a,b,15741,a),flip(a)]. 15746 a(x,y,L(z,y,u)) = a(x,y,z). [hyper(58,a,12537,a(flip),b,15744,a)]. 15747 a(x,y,z) \ L(z,y,u) = L(L(z,y,u),y,x). [para(15746(a,1),12338(a,2,1)),flip(a)]. 15748 a(x,L(y,z,u),w) \ w = L(w,R(y,z,u),x). [para(15745(a,1),12338(a,2,1)),flip(a)]. 15749 a(x * (y \ x),x,z) \ L(z,x,u) = R(L(z,x,u),y,x). [hyper(272,a,14998,a,b,15747,a),flip(a)]. 15750 a(x,y,z) \ L(y,x,u) = L(L(y,x,u),x,z). [hyper(58,a,13658,a,b,15747,a)]. 15751 L(x,R(y,z,u),w) = L(x,L(y,z,u),w). [hyper(12351,a,15748,a),flip(a)]. 15752 x * (y \ L(L(y,z,x),u,x)) = L(L(x,y,u),y,z). [hyper(58,a,15221,a,b,15750,a)]. 15753 x \ L(L(x,y,z),u,z) = z \ L(L(z,x,y),x,u). [hyper(112,a,25,a,b,15752,a),flip(a)]. 15754 x \ L(L(x,x,y),z,y) = a(y,z \ x,x). [hyper(272,a,15244,a(flip),b,15753,a),flip(a)]. 15755 x \ L(L(x,x,y),z,y) = a(x,y,z \ x). [hyper(272,a,13641,a(flip),b,15754,a),flip(a)]. 15756 L(L(x,x,y),z,y) = L(x,x * z,y). [hyper(33,a,14994,a,b,15754,a),flip(a)]. 15757 L(L(x,x,y),z,L(y,u,w)) = L(x,x * z,L(y,u,w)). [para(10384(a,1),15756(a,1,1))]. 15758 a(x,y,T(x,z) * (R(z,u,w) \ 1)) = x \ L(L(x,x,y),R(z,u,w),y). [para(14531(a,2),15755(a,2,3)),flip(a)]. 15759 L(a(x,y,z),u,u \ w) = a(x,y,L(z,u,w)). [hyper(58,a,15518,a(flip),b,15743,a),flip(a)]. 15760 a(x,y,L(z,u,w)) = L(a(x,y,z),u,w). [hyper(58,a,15206,a(flip),b,15759,a),flip(a)]. 15761 a(x,L(y,z,u),w) = L(a(w,x,y),z,u). [hyper(13691,a,15760,a)]. 15762 a(x,y,L(z,u,w)) = R(a(x,y,z),u,w). [hyper(272,a,15183,a,b,15760,a),flip(a)]. 15763 a(x,y,z) \ a(u,a(x,y,z),w) = a(y,z,L(x \ 1,u,w)). [hyper(272,a,13830,a,b,15760,a)]. 15764 (x * y) * a(z,u,L(w,y,x)) = x * (y * a(z,u,w)). [hyper(114,a,15760,a,b,13,a(flip))]. 15765 L(a(x,y,L(z,u,w)),w,u) = a(x,y,z). [hyper(58,a,15744,a(flip),b,15760,a),flip(a)]. 15766 1 * (a(a(x,y,z),u,w) * a(a(x,y,z),u,v5)) = L(a(x,y,L(z,w,u)),v5,u) \ a(x,y,z). [para(15760(a,2),15126(a,2,1,1))]. 15767 a(x,y,L(z,u,w)) \ (w * u) = w * (a(x,y,z) \ u). [para(15760(a,2),15224(a,1,1))]. 15768 a(x,L(y,z,u),w) = L(a(x,y,w),z,u). [para(13641(a,2),15761(a,2,1))]. 15769 L(a(x,y,z),u,w) != v5 | a(x,y,L(z,u,w)) = v5. [para(15761(a,1),13693(a,1))]. 15770 a(x,y,L(z,u,w)) \ R(x,y,z) = a(u,a(x,y,z),w) * x. [para(15762(a,2),15203(a,1,1))]. 15771 a(x,L(y,z,u),w) = a(x,y,L(w,z,u)). [hyper(272,a,15760,a,b,15768,a),flip(a)]. 15772 x * a(x,y,L(z,u,w)) = R(x,L(y,u,w),z). [hyper(114,a,15771,a(flip),b,12967,a(flip))]. 15773 L(x,a(y,z,L(u,w,v5)),u) = x. [para(15771(a,1),12552(a,1,2))]. 15774 a(x,y,L(z,u,w)) \ x = L(x,z,L(y,u,w)). [para(15771(a,1),13661(a,2,1)),flip(a)]. 15775 a(x,L(y \ z,u,w),v5) \ v6 = v6 * a(x,z \ y,L(v5,u,w)). [para(15771(a,2),14849(a,1,1))]. 15776 L(x,a(y,z,u),L(u,w,v5)) = x. [para(15744(a,1),15773(a,1,2))]. 15777 L(x,a(y,z,u),L(y,w,v5)) = x. [para(13641(a,1),15776(a,1,2))]. 15778 L(x,y,z) \ ((L(x,y,z) / a(x,u,w)) * v5) = a(x,u,w) \ v5. [hyper(58,a,15245,a(flip),b,15777,a)]. 15779 R(x,L(y,z,u),w) = R(x,y,L(w,z,u)). [hyper(12985,a,15772,a),flip(a)]. 15780 R(x,R(y,z,u),w) = R(x,y,L(w,z,u)). [hyper(58,a,15737,a,b,15779,a)]. 15782 R(x,y,L(z * u,z,u)) * ((y * z) * u) = (x * R(y,z,u)) * (z * u). [para(15780(a,1),458(a,1,1))]. 15783 L(x,L(y,z,u),w) = L(x,y,L(w,z,u)). [hyper(13663,a,15774,a)]. 15784 L(x,R(y,z,u),w) = L(x,y,L(w,z,u)). [hyper(58,a,15751,a,b,15783,a)]. 15786 a(x,L(y,z,u),w) != v5 | a(x,y,L(w,z,u)) = v5. [para(15768(a,2),15769(a,1))]. 15787 (x * y) \ a(z,u,L(w,y,x)) = (x * (a(z,u,w) \ y)) \ 1. [para(15767(a,1),10262(a,1,1)),flip(a)]. 15788 a(x,y,z) \ (u * a(z,w,v5)) = u * (a(x,y,z) \ a(z,w,v5)). [para(12950(a,1),15767(a,1,1,3))]. 15789 K(x,y * (a(z,u,w) \ v5)) = K(x,y * v5). [para(15767(a,1),15066(a,1,2))]. 15790 K(x,(y \ a(z,u,w)) * v5) = K(x,y \ v5). [hyper(58,a,14850,a(flip),b,15789,a),flip(a)]. 15794 K(x,y \ (a(z,u,w) * v5)) = K(x,y \ v5). [hyper(58,a,14812,a,b,15790,a)]. 15795 K(a(x,y,z) \ u,w \ (a(v5,v6,v7) * v8)) = K(u,w \ v8). [hyper(272,a,15075,a(flip),b,15794,a),flip(a)]. 15796 R(x,L(y \ 1,z,u),w) = L(x,w,L(y,u,z \ 1)). [para(13661(a,2),15738(a,1,3)),flip(a)]. 15797 R(x,L(y \ 1,z,u),w) = L(x,w,R(y,z,u)). [para(13628(a,2),15796(a,2,3))]. 15798 L(x,y,a(z,u,w) \ z) = L(x,y,R(z,w,u)). [hyper(14945,a,15797,a)]. 15799 L(x,y,R(z,u,w)) = L(x,y,L(z,u,w)). [para(13661(a,2),15798(a,1,3)),flip(a)]. 15801 a(x * (y \ x),x,z) \ L(z,x,u) = L(R(z,y,x),x,u). [hyper(272,a,24,a(flip),b,15749,a),flip(a)]. 15802 (a(x,y,z) \ u) * (w / (a(x,y,z) \ u)) = w * K(u,u \ w). [para(15795(a,1),14817(a,1,2)),flip(a)]. 15803 a(x,y * (z \ y),y) \ L(x,y,u) = L(R(x,z,y),y,u). [hyper(58,a,13658,a(flip),b,15801,a)]. 15804 a(x,y,z \ 1) \ L(x,z,u) = L(R(x,y,z),z,u). [para(13775(a,1),15803(a,1,1))]. 15805 a(x,y,z) * L(x,z,u) = L(R(x,y,z),z,u). [hyper(58,a,13669,a(flip),b,15804,a)]. 15806 x * (y \ L(R(y,x,z),u,x)) = L(R(x,z,y),y,u). [hyper(58,a,15214,a,b,15805,a)]. 15807 a(x,y,z) \ a(u,a(x,y,z),w) = a(y,z,L(x,u,w) \ 1). [para(13699(a,1),15763(a,2,3))]. 15808 a(x,y,z) * L(x,L(z,u,w),y) = a(u,a(x,y,z),w) * x. [hyper(58,a,14919,a(flip),b,15770,a)]. 15809 (x * (a(y,z,u) \ w)) \ 1 != (x * w) \ v5 | a(y,z,L(u,w,x)) = v5. [para(15787(a,1),42(a,1))]. 15810 a(x,y,L(z,u,w)) \ a(x,y,z) = a(u,a(x,y,z),w). [hyper(14855,a,15808,a)]. 15811 a(x,y,L(z \ u,w,v5)) \ v6 = v6 * a(y,u \ z,L(x,w,v5)). [hyper(58,a,13658,a(flip),b,15775,a)]. 15812 L(x,y,z) \ ((a(x,u,w) \ L(x,y,z)) * v5) = a(x,u,w) \ v5. [para(14340(a,1),15778(a,1,2,1))]. 15813 L(x,y,z) * (L(x,u,w) \ v5) = v5 * (a(z,y,x) \ a(x,w,u)). [hyper(58,a,15170,a(flip),b,15788,a)]. 15814 (x / L(y,z,u)) * L(y,w,v5) = x * (a(v5,w,y) \ a(y,u,z)). [hyper(58,a,14832,a(flip),b,15788,a)]. 15815 (a(x,y,z) \ u) \ (u * (w / u)) = w / (a(x,y,z) \ u). [hyper(112,a,2985,a(flip),b,15802,a)]. 15816 (a(x,y,z) \ u) * (w / (a(x,y,z) \ u)) != v5 | u * (w / u) = v5. [para(15815(a,1),230(a,1,2))]. 15817 a(x,L(y,z,u),w \ v5) \ v6 = v6 * a(y,v5 \ w,L(x,z,u)). [para(15771(a,2),15811(a,1,1))]. 15818 L(x,y,z) * (a(x,u,w) \ (L(x,y,z) \ v5)) = a(x,u,w) \ v5. [hyper(58,a,15516,a(flip),b,15812,a)]. 15819 (x * (a(y,z,u) \ a(u,w,v5))) \ 1 = (x * a(u,w,v5)) \ a(u,y,z). [para(15813(a,1),15222(a,1,1))]. 15820 (x / L(y,z,u)) * L(y,w,v5) = x * (a(y,v5,w) \ a(y,u,z)). [para(13641(a,1),15814(a,2,2,1))]. 15821 a(x,L(y,z,u),w \ 1) \ v5 = v5 * a(y,w,L(x,z,u)). [para(60(a,1),15817(a,2,2,2))]. 15822 a(x,L(y,z,u) \ 1,w) \ v5 = v5 * a(y,w,L(x,z,u)). [para(13643(a,2),15821(a,1,1))]. 15823 a(x,y,L(z,u,w) \ 1) \ v5 = v5 * a(z,x,L(y,u,w)). [hyper(58,a,13658,a(flip),b,15822,a)]. 15824 ((a(x,y,z) \ a(x,u,w)) \ 1) * ((((a(x,y,z) \ a(x,u,w)) * v5) / L(x,w,u)) * L(x,z,y)) = v5 * (a(x,y,z) \ a(x,u,w)). [hyper(114,a,15820,a,b,3502,a)]. 15825 (x \ a(y,z,u)) * (w * (a(y,z,u) \ x)) != v5 | x * (w / x) = v5. [para(10299(a,1),15816(a,1))]. 15826 (x * (a(y,z,u) \ a(y,w,v5))) \ 1 = (x * a(y,w,v5)) \ a(y,z,u). [para(13641(a,1),15819(a,1,1,2,1))]. 15827 a(x,y,L(z,a(x,u,w),v5)) = a(x,y,z). [hyper(15809,a,15826,a)]. 15828 (x * a(y,z,u)) * a(y,w,v5) = x * (a(y,z,u) * a(y,w,v5)). [para(15827(a,1),15764(a,1,2))]. 15829 L(x,a(y,z,u),a(y,w,v5)) = x. [hyper(13772,a,15828,a),flip(a)]. 15831 a(x,y,z) \ (u * (a(x,w,v5) * a(x,y,z))) = u * a(x,w,v5). [hyper(112,a,15828,a(flip),b,14356,a)]. 15834 (a(x,y,z) * u) * a(x,w,v5) = a(x,y,z) * (u * a(x,w,v5)). [para(15829(a,1),13794(a,1,1,2))]. 15835 a(x,y,z) \ (u * a(x,w,v5)) = (a(x,y,z) \ u) * a(x,w,v5). [hyper(796,a,15834,a)]. 15836 (a(x,y,z) \ u) * a(x,w,v5) = L(x,z,y) * (L(x,v5,w) \ u). [hyper(58,a,15219,a(flip),b,15835,a),flip(a)]. 15837 a(x,y,T(x,z) * (R(z,u,w) \ 1)) = x \ L(L(x,x,y),z,L(y,u,w)). [para(15784(a,1),15758(a,2,2))]. 15838 R(x,y,z * u) * ((y * z) * u) = (x * R(y,z,u)) * (z * u). [para(13930(a,1),15782(a,1,1))]. 15839 a(x,y,T(x,z) * (R(z,u,w) \ 1)) = x \ L(x,x * z,L(y,u,w)). [para(15757(a,1),15837(a,2,2))]. 15840 a(x,y,T(x,z) * (R(z,u,w) \ 1)) = a(L(y,u,w),z \ x,x). [hyper(272,a,14994,a(flip),b,15839,a),flip(a)]. 15841 a(x,y,T(x,z) * (R(z,u,w) \ 1)) = a(x,L(y,u,w),z \ x). [hyper(272,a,13641,a(flip),b,15840,a),flip(a)]. 15842 a(x,y,T(x,z) * (R(z,u,w) \ 1)) = a(x,y,L(z \ x,u,w)). [hyper(272,a,15771,a(flip),b,15841,a),flip(a)]. 15843 a(x,y,L(z \ x,u,w)) = a(x,y,R(z,u,w) \ x). [para(14531(a,1),15842(a,1,3)),flip(a)]. 15844 L(x,y,a(z,u,w * (v5 \ v6)) \ (w * (v5 \ v6))) = L(x,y,L((v6 \ v5) \ w,u,z)). [para(14968(a,1),15487(a,1,3,1))]. 15845 L(x,y,L((z \ u) \ w,v5,v6)) = L(x,y,L(w * (u \ z),v5,v6)). [para(12338(a,2),15844(a,1,3)),flip(a)]. 15846 L(x,y,L(z * (1 \ u),w,v5)) = L(x,y,L(u * z,w,v5)). [hyper(15022,a,15845,a),flip(a)]. 15847 L(x,y,L(z * u,w,v5)) = L(x,y,L(u * z,w,v5)). [para(60(a,1),15846(a,1,3,1,2))]. 15848 a(x,y,L(z,u \ (u \ 1),w \ 1)) = a(x,y,w \ ((u \ z) * (w * u))). [hyper(58,a,15571,a(flip),b,14972,a),flip(a)]. 15850 a(x,y,L(z,u \ (u \ 1),w \ 1)) = a(x,y,w * ((w \ (u \ z)) * u)). [hyper(272,a,15687,a(flip),b,15848,a),flip(a)]. 15851 a(x,y,L(z,u \ (u \ 1),w \ 1)) = a(x,y,L(z,u,w \ 1)). [hyper(272,a,15729,a(flip),b,15850,a),flip(a)]. 15852 a(x,y,L(z,u * u,w)) = a(x,y,L(z,u,w \ 1)). [para(13745(a,1),15851(a,1,3))]. 15853 a(x,y,L(z,u * u,w)) = a(x,y,R(z,w,u)). [para(13628(a,2),15852(a,2,3))]. 15854 a(x,y,L(z,u * u,w)) = a(x,y,L(z,w,u)). [hyper(272,a,15740,a(flip),b,15853,a),flip(a)]. 15855 a(x,y,L(z,u,w * w)) = a(x,y,L(z,w,u)). [para(14212(a,1),15854(a,1,3))]. 15856 a(x,y,L(L(z,u,w),u,w)) = a(x,y,L(z,w,u)). [para(13896(a,2),15855(a,1,3))]. 15857 L(a(x,y,L(z,u,w)),u * u,w) = a(x,y,z). [para(15855(a,1),15765(a,1,1))]. 15858 T(x \ (a(y,z,u) \ w),w \ 1) = (x * (w \ a(y,z,u))) \ 1. [para(10298(a,1),15061(a,1,1)),flip(a)]. 15859 (x * (a(y,z,u) \ a(w,v5,v6))) \ 1 != v7 | x \ (a(w,v5,v6) \ a(y,z,u)) = v7. [para(15858(a,1),14487(a,1))]. 15860 (x * a(y,z,u)) \ a(y,w,v5) = x \ (a(y,z,u) \ a(y,w,v5)). [hyper(15859,a,15826,a),flip(a)]. 15861 T((a(x,y,z) \ (1 / u)) \ (w / u),a(x,y,z) * u) = (a(x,y,z) * u) * (u \ w). [para(15093(a,1),15151(a,1,1,1))]. 15862 L(x,y,(T(z * (u \ 1),w) \ (u \ (w * z))) * v5) = L(x,y,L(w,u,z) * v5). [para(13709(a,2),15493(a,2,3,1))]. 15863 L(x,y,((z * (u \ 1)) \ (u \ (w * z))) * v5) = L(x,y,L(w,u,z) * v5). [hyper(15441,a,15862,a)]. 15864 L(x,y,((z \ u) * (u \ (w * z))) * v5) = L(x,y,L(w,u,z) * v5). [hyper(15510,a,15863,a)]. 15866 L(x,y,(((z \ 1) * u) \ (z \ (w * u))) * v5) = L(x,y,R(T(w,u),z,u) * v5). [para(13628(a,2),15508(a,2,3,1))]. 15867 L(x,y,(((z \ 1) * u) \ (z \ (w * u))) * v5) = L(x,y,R(w,z,u) * v5). [hyper(272,a,15296,a(flip),b,15866,a),flip(a)]. 15868 L(x,y,((z \ u) * (u \ (w * z))) * v5) = L(x,y,R(w,u,z) * v5). [hyper(15511,a,15867,a)]. 15870 L(x,y,R(z,u,w) * v5) = L(x,y,L(z,u,w) * v5). [hyper(58,a,15864,a(flip),b,15868,a),flip(a)]. 15871 L(x,y,R(z,u,w) * (v5 \ (v5 / v6))) = L(x,y,v6 \ L(z,u,w)). [hyper(272,a,14698,a(flip),b,15870,a),flip(a)]. 15872 L(x,y,L(T(1 / z,u),w,v5) * v6) = L(x,y,R(z,w,v5) \ v6). [hyper(58,a,15519,a(flip),b,15870,a),flip(a)]. 15873 L(x,y,z \ R(u,w,v5)) = L(x,y,z \ L(u,w,v5)). [hyper(15458,a,15871,a)]. 15874 L(x,y,z \ L(z,u,w)) = L(x,y,a(z,u,w)). [para(12967(a,2),15873(a,1,3)),flip(a)]. 15875 L(x,y,a(z \ 1,u,w)) = L(x,y,a(z,w,u)). [hyper(14870,a,15874,a)]. 15876 a(a(x,y,z),u,w) \ u = L(u,w,a(z,y,x)). [hyper(58,a,15201,a(flip),b,15875,a)]. 15877 a(a(x,y,z),u,w) = a(a(z,y,x),w,u). [hyper(34,a,12338,a(flip),b,15876,a)]. 15878 a(a(x,y,z),u \ 1,w) = a(w,a(z,y,x),u). [hyper(15199,a,15877,a),flip(a)]. 15879 a(x,a(y,z,u),w) = a(x,w,a(u,z,y)). [hyper(15205,a,15878,a),flip(a)]. 15880 a(x,a(y,z,u),w) = a(x,w,a(y,u,z)). [para(13641(a,1),15879(a,1,2))]. 15881 a(x,y,a(z,u * w,u)) = a(x,a(z,u,w),y). [hyper(272,a,15579,a,b,15880,a)]. 15882 a(x,a(y,z \ u,u),w) = a(x,a(y,u,z),w). [hyper(58,a,15204,a,b,15881,a)]. 15883 L(x,y,L(1 / z,u,w) * v5) = L(x,y,R(z,u,w) \ v5). [hyper(15443,a,15872,a)]. 15884 L(x,y,(1 / L(z,u,w)) * v5) = L(x,y,R(z,u,w) \ v5). [para(13701(a,1),15883(a,1,3,1))]. 15885 L(x,y,R(z,u,w) \ v5) = L(x,y,L(z,u,w) \ v5). [hyper(14724,a,15884,a),flip(a)]. 15886 x * a(y,x,z \ L(u,w,v5)) = L(x,y,R(u,w,v5) \ z). [hyper(272,a,12393,a,b,15885,a)]. 15887 a(x,y,z \ R(u,w,v5)) = a(x,y,z \ L(u,w,v5)). [hyper(29,a,12393,a,b,15886,a)]. 15888 a(x,y,(1 / z) \ L(u,w,v5)) = a(x,y,R(u,w,v5) * z). [hyper(58,a,14962,a(flip),b,15887,a),flip(a)]. 15889 a(x,y,(z * u) \ L(z,w,v5)) = a(x,y,u \ a(z,w,v5)). [hyper(58,a,14920,a(flip),b,15887,a),flip(a)]. 15890 x * a(x,y,z \ L(u,w,v5)) = R(x,y,z \ R(u,w,v5)). [hyper(114,a,15887,a(flip),b,12967,a(flip))]. 15891 a(x,y,(1 / L(z,z,R(u,w,v5))) \ L(u,w,v5)) = a(x,y,z * R(u,w,v5)). [para(13795(a,1),15887(a,1,3)),flip(a)]. 15892 a(x,y,R(z,u,w) * v5) = a(x,y,L(z,u,w) * v5). [hyper(58,a,14962,a(flip),b,15888,a),flip(a)]. 15893 a(x,y,L(x,z,u) * (w \ L(x,u,z))) = a(y,w,x \ 1). [hyper(58,a,15172,a(flip),b,15892,a),flip(a)]. 15894 a(x,y,x * (z \ L(x,u,w))) = a(x,y,z \ a(x,u,w)). [hyper(58,a,15708,a(flip),b,15889,a)]. 15895 R(x,y,z \ R(u,w,v5)) = R(x,y,z \ L(u,w,v5)). [hyper(12985,a,15890,a),flip(a)]. 15896 R(x,y,z \ R(u,w,v5)) = L(x,L(u,w,v5) \ z,y). [hyper(272,a,13722,a(flip),b,15895,a),flip(a)]. 15897 L(x,R(y,z,u) \ w,v5) = L(x,L(y,z,u) \ w,v5). [hyper(15557,a,15896,a)]. 15898 L(x,L(y,z,u) \ w,v5) \ x = a(v5,R(y,z,u) \ w,x). [para(15897(a,1),12322(a,2,1)),flip(a)]. 15899 (x \ K(y,z)) \ L(x \ K(y,z),L(u,w,v5) \ v6,v7) = a(x,v7,R(u,w,v5) \ v6). [para(15897(a,1),15162(a,1,2))]. 15900 a(x,y,x * (z \ L(x,u,w))) != v5 | a(y,z \ a(x,u,w),x) = v5. [para(15894(a,2),13691(a,1))]. 15901 a(x,R(y,z,u) \ w,v5) = a(x,L(y,z,u) \ w,v5). [hyper(12330,a,15898,a),flip(a)]. 15902 a(x,L(y,z,u) \ (w \ y),v5) = a(x,w \ a(z,u,y \ 1),v5). [hyper(58,a,15436,a(flip),b,15901,a),flip(a)]. 15903 a(x,y \ a(z,u,w \ 1),v5) = a(x,y \ a(u,z,w),v5). [hyper(58,a,15406,a(flip),b,15902,a),flip(a)]. 15904 a(x,a(y,z,u) \ (w \ 1),v5) = a(x,w \ a(u,z,y),v5). [hyper(14908,a,15903,a)]. 15905 a(x \ 1,y \ a(z,u,w),v5) = a(v5,x,y * a(w,u,z)). [hyper(15016,a,15904,a),flip(a)]. 15906 a(x,y,a(z,u,w) \ v5) = a(x,y,v5 * a(w,u,z)). [hyper(15018,a,15905,a)]. 15907 a(x,y,a(z,u,w) \ v5) = a(x,y,v5 * a(z,w,u)). [para(13641(a,1),15906(a,1,3,1))]. 15908 a(x,y,(1 / L(z,z,L(u,w,v5))) \ L(u,w,v5)) = a(x,y,z * R(u,w,v5)). [para(15799(a,1),15891(a,1,3,1,2))]. 15909 a(x,y,z * R(u,w,v5)) = a(x,y,z * L(u,w,v5)). [para(13795(a,1),15908(a,1,3)),flip(a)]. 15910 a(x,y,R(z,u,w) \ v5) = a(x,y,L(z,u,w) \ v5). [hyper(58,a,15162,a(flip),b,15899,a),flip(a)]. 15911 a(x,y,L(z \ x,u,w)) = a(x,y,L(z,u,w) \ x). [hyper(58,a,15843,a,b,15910,a)]. 15912 a(x,y,L(z * T(u / w,u),v5,v6)) = a(x,y,L((u \ w) \ z,v5,v6)). [hyper(15692,a,15717,a)]. 15913 a(x,y,L((z \ u) \ w,v5,v6)) = a(x,y,L(w * (z / u),v5,v6)). [hyper(58,a,15572,a(flip),b,15912,a),flip(a)]. 15915 a(x,y,L((z \ u) \ w,v5,v6)) = a(x,y,L(w * (u \ z),v5,v6)). [hyper(272,a,15697,a(flip),b,15913,a),flip(a)]. 15916 a(x,y,L(x * (z \ u),w,v5)) = a(x,y,L(u \ z,w,v5) \ x). [hyper(58,a,15911,a(flip),b,15915,a),flip(a)]. 15917 a(x,y,L(x * (z \ u),w,v5)) = a(x,y,x * L(z \ u,w,v5)). [hyper(272,a,14990,a(flip),b,15916,a),flip(a)]. 15918 L(a(x,y,x * L(z \ u,w,v5)),w * w,v5) = a(x,y,x * (z \ u)). [para(15917(a,1),15857(a,1,1))]. 15919 a(x,y,L(x * L(z \ u,w,v5),w * w,v5)) = a(x,y,x * (z \ u)). [hyper(15769,a,15918,a)]. 15920 a(x,y,L(x * L(z \ u,w,v5),v5,w)) = a(x,y,x * (z \ u)). [hyper(58,a,15854,a(flip),b,15919,a)]. 15921 T(((x * y) * a(z,u,w)) / x,a(z,u,w) * x) = (a(z,u,w) * x) * (x \ y). [para(15237(a,1),15861(a,1,1))]. 15922 T(((x * y) * a(z,u,w)) / x,x) = (a(z,u,w) * x) * (x \ y). [hyper(58,a,15033,a(flip),b,15921,a)]. 15923 x \ ((x * y) * a(z,u,w)) = (a(z,u,w) * x) * (x \ y). [hyper(581,a,15922,a)]. 15925 (a(x,y,z) * u) * (u \ w) = u * ((a(x,y,z) \ u) \ w). [hyper(58,a,15258,a(flip),b,15923,a),flip(a)]. 15926 (x * a(y,z,u)) * (x \ w) = x * ((a(y,z,u) \ x) \ w). [hyper(14418,a,15925,a)]. 15927 x * ((a(y,z,u) \ x) \ (x * w)) = (x * a(y,z,u)) * w. [hyper(507,a,15926,a),flip(a)]. 15928 (x * a(y,z,u)) * (w / x) = x * (w / (a(y,z,u) \ x)). [para(15815(a,1),15927(a,1,2)),flip(a)]. 15929 (x \ y) * (a(z,u,w) * x) = x * (y / (a(z,u,w) \ x)). [hyper(58,a,15107,a,b,15928,a)]. 15930 a(x,y,z) \ (a(x,y,z) * (u / (a(x,w,v5) \ a(x,y,z)))) = (a(x,y,z) \ u) * a(x,w,v5). [para(15929(a,1),15831(a,1,2))]. 15931 ((1 / x) * (1 / y)) \ (((1 / x) * ((1 / y) * L(z,y \ (x \ 1),u))) * u) = L(z,y,x) * u. [para(2466(a,1),14848(a,1,2,1,2,2))]. 15932 1 * (a(a(x,y,z),u,w) * a(a(x,y,z),u,v5)) = a(x,y,L(L(z,w,u),v5,u)) \ a(x,y,z). [para(15760(a,2),15766(a,2,1))]. 15933 a(x,y,z) \ (a(x,y,z) * ((a(x,y,z) \ a(x,u,w)) * v5)) = (a(x,y,z) \ v5) * a(x,u,w). [para(15117(a,1),15930(a,1,2,2))]. 15934 ((1 / x) * (1 / y)) \ (((1 / x) * ((1 / y) * R(z,u,x * y))) * u) = L(z,y,x) * u. [para(13711(a,1),15931(a,1,2,1,2,2))]. 15935 ((x \ 1) * (1 / y)) \ (((x \ 1) * ((1 / y) * R(z,u,x * y))) * u) = L(z,y,x) * u. [hyper(58,a,15730,a(flip),b,15934,a)]. 15936 ((1 / x) \ (((1 / x) * R(y,z,u * x)) * (z * u))) / u = L(y,x,u) * z. [hyper(58,a,7162,a(flip),b,15935,a)]. 15937 ((R(x,y,z * u) * ((y * z) * u)) / u) / z = L(x,u,z) * y. [para(663(a,1),15936(a,1,1))]. 15938 (((x * R(y,z,u)) * (z * u)) / u) / z = L(x,u,z) * y. [para(15838(a,1),15937(a,1,1,1))]. 15939 L(x * R(y,z,u),u,z) = L(x,u,z) * y. [hyper(13774,a,15938,a)]. 15940 R(L(x,y,z) * u,z,y) = x * R(u,z,y). [hyper(13760,a,15939,a)]. 15942 a(x,L(y,z,u),w * R(v5,u,z)) = a(x,y,L(w,z,u) * v5). [para(15939(a,1),15771(a,2,3))]. 15943 R(L(x,y,z) * (x \ u),z,y) / u = a(z,y,x \ u). [hyper(113,a,15940,a,b,14852,a)]. 15946 R(a(x,y,z) \ u,y,z) / u = a(y,z,x \ u). [para(13667(a,1),15943(a,1,1,1))]. 15947 R(a(x,y,z) \ u,y,z) / u = a(z,x \ u,y). [hyper(272,a,13641,a,b,15946,a),flip(a)]. 15948 a(x,L(y,z,u),w * L(v5,u,z)) = a(x,y,L(w,z,u) * v5). [hyper(58,a,15909,a(flip),b,15942,a)]. 15949 a(x,y,L(z * L(u,w,v5),v5,w)) = a(x,y,L(z,v5,w) * u). [hyper(15786,a,15948,a)]. 15950 a(x,y,L(x,z,u) * (w \ v5)) = a(x,y,x * (w \ v5)). [hyper(58,a,15920,a(flip),b,15949,a),flip(a)]. 15951 a(x,y,x * (z \ L(x,u,w))) = a(y,z,x \ 1). [hyper(58,a,15893,a(flip),b,15950,a),flip(a)]. 15952 a(x,y \ a(z,u,w),z) = a(x,y,z \ 1). [hyper(15900,a,15951,a)]. 15954 (x \ y) \ (R(x,z,u \ a(x \ 1,w,v5)) \ y) = a(z,u,(x \ 1) \ 1). [hyper(58,a,14833,a,b,15952,a)]. 15955 (x \ y) \ (R(x,z,u \ a(w,v5,x \ 1)) \ y) = a(z,u,(x \ 1) \ 1). [para(12401(a,1),15954(a,1,2,1,3,2))]. 15956 (x \ y) \ (L(x,a(z,u,x \ 1) \ w,v5) \ y) = a(v5,w,(x \ 1) \ 1). [para(13722(a,1),15955(a,1,2,1))]. 15957 (x \ y) \ (L(x,z * a(x,u,w),v5) \ y) = a(v5,z,(x \ 1) \ 1). [para(14681(a,1),15956(a,1,2,1,2))]. 15958 a(x,y,z * a(x,u,w)) = a(y,z,(x \ 1) \ 1). [hyper(14837,a,15957,a)]. 15959 a(x,y,z * a(x,u,w)) = a(y,z,x). [hyper(272,a,14969,a(flip),b,15958,a),flip(a)]. 15961 a(x,y,z * a(x,u,w)) = a(x,y,z). [hyper(272,a,13641,a(flip),b,15959,a),flip(a)]. 15963 1 * (a(a(x,y,z),u,w) * a(a(x,y,z),u,w)) = a(x,y,L(z,u,w)) \ a(x,y,z). [para(15856(a,1),15932(a,2,1))]. 15964 1 * (a(a(x,y,z),u,w) * a(a(x,y,z),u,w)) = a(u,a(x,y,z),w). [hyper(272,a,15810,a(flip),b,15963,a),flip(a)]. 15965 1 * (a(a(x,y,z),u,w) * a(a(x,y,z),u,w)) = a(w,u,a(x,y,z)). [hyper(272,a,13641,a(flip),b,15964,a),flip(a)]. 15966 1 * (a(x,a(y,z,u),w) * a(a(y,z,u),w,x)) = a(x,w,a(y,z,u)). [para(13641(a,1),15965(a,1,2,1))]. 15967 1 * (a(x,a(y,z,u),w) * a(x,a(y,z,u),w)) = a(x,w,a(y,z,u)). [para(13641(a,1),15966(a,1,2,2))]. 15968 a(x,a(y,z,u),w) * a(x,a(y,z,u),w) = a(x,w,a(y,z,u)). [hyper(115,a,15967,a)]. 15969 a(x,a(y,z,u),w) * a(x,a(y,u \ z,z),w) = a(x,w,a(y,u \ z,z)). [para(15882(a,1),15968(a,1,1))]. 15970 a(x,a(y,z,u),w) * a(x,a(y,z,u),w) = a(x,w,a(y,u \ z,z)). [para(15882(a,1),15969(a,1,2))]. 15971 a(x,y,a(z,u \ w,w)) = a(x,y,a(z,w,u)). [hyper(58,a,15968,a(flip),b,15970,a),flip(a)]. 15972 (a(x,y,z) \ a(x,u,w)) * v5 = (a(x,y,z) \ v5) * a(x,u,w). [hyper(287,a,15933,a)]. 15973 (a(x,y,z) \ a(x,u,w)) * v5 = L(x,z,y) * (L(x,w,u) \ v5). [hyper(272,a,15836,a(flip),b,15972,a),flip(a)]. 15975 (a(x,y * z,L(y,u,w)) \ v5) * ((v5 * a(x,z \ y,y)) \ 1) = a(u,w,a(x,y * z,y) \ 1). [para(15762(a,2),15020(a,1,1,1))]. 15976 a(x,y \ z,z) \ (a(a(x,z * y,z),u,w) \ K(a(x,z * y,z),v5)) = T(L(a(x,z * y,z),w,u),a(x,y \ z,z)). [para(14362(a,1),15006(a,2,1,1))]. 15978 a(x,y \ z,z) \ (a(a(x,z * y,z),u,w) \ K(a(x,z * y,z),v5)) = T(a(x,z * y,L(z,w,u)),a(x,y \ z,z)). [para(15760(a,2),15976(a,2,1))]. 15979 a(x,y \ z,z) \ (a(a(x,z * y,z),u,w) \ K(a(x,z * y,z),v5)) = a(x,z * y,L(z,w,u)). [hyper(272,a,14362,a(flip),b,15978,a),flip(a)]. 15981 a(x,y \ z,z) \ (a(u,a(x,z * y,z),w) \ K(a(x,z * y,z),v5)) = a(x,z * y,L(z,u,w)). [para(13641(a,1),15979(a,1,2,1))]. 15982 a(x,y \ z,z) \ (a(u,a(x,z * y,z),w) \ 1) = a(x,z * y,L(z,u,w)). [para(150(a,1),15981(a,1,2,2))]. 15983 a(x,y \ z,z) \ a(u,w \ 1,a(x,z * y,z)) = a(x,z * y,L(z,w,u)). [para(13650(a,2),15982(a,1,2))]. 15985 a(x,y \ z,z) \ a(u,w,a(x,z * y,z) \ 1) = a(x,z * y,L(z,w,u)). [para(13643(a,1),15983(a,1,2))]. 15986 a(x,y \ z,z) \ a(u,w,a(z,x \ 1,z * y)) = a(x,z * y,L(z,w,u)). [para(13650(a,2),15985(a,1,2,3))]. 15987 a(x,y \ z,z) \ a(u,w,a(z,x,(z * y) \ 1)) = a(x,z * y,L(z,w,u)). [para(13643(a,1),15986(a,1,2,3))]. 15988 a(x,y \ z,z) \ a(u,w,a(z,x,y \ (z \ 1))) = a(x,z * y,L(z,w,u)). [para(12459(a,1),15987(a,1,2,3))]. 15989 a(x,y \ z,z) \ a(u,w,a(z,x,y \ z)) = a(x,z * y,L(z,w,u)). [para(14991(a,1),15988(a,1,2,3))]. 15990 a(x,y \ z,z) \ a(u,w,a(x,y \ z,z)) = a(x,z * y,L(z,w,u)). [para(13641(a,2),15989(a,1,2,3))]. 15991 a(x,y \ z,z) \ a(u,a(x,y \ z,z),w) = a(x,z * y,L(z,u,w)). [para(13641(a,2),15990(a,1,2))]. 15992 a(x \ y,y,L(z,u,w) \ 1) = a(z,y * x,L(y,u,w)). [hyper(58,a,15807,a(flip),b,15991,a)]. 15993 a(x,y * z,L(y,u,w)) \ v5 = v5 * a(x,z \ y,L(y,u,w)). [para(15992(a,1),15823(a,1,1))]. 15994 a(x,y \ z,L(y,u,w)) = a(x,y * z,L(y,u,w)). [hyper(14910,a,15993,a)]. 15995 (x * a(y,z \ u,L(u,w,v5))) * ((x * a(y,z \ u,u)) \ 1) = a(w,v5,a(y,u * z,u) \ 1). [para(15993(a,1),15975(a,1,1))]. 15996 (x * a(y,z \ u,L(u,w,v5))) * (x \ a(z \ u,u,y \ 1)) = a(w,v5,a(y,u * z,u) \ 1). [para(14845(a,1),15995(a,1,2))]. 15997 (x * a(y,z \ u,L(u,w,v5))) * (x \ a(u,y \ 1,z \ u)) = a(w,v5,a(y,u * z,u) \ 1). [para(13641(a,2),15996(a,1,2,2))]. 15998 (x * a(y,z \ u,L(u,w,v5))) * (x \ a(u,y,(z \ u) \ 1)) = a(w,v5,a(y,u * z,u) \ 1). [para(13643(a,1),15997(a,1,2,2))]. 15999 (x * a(y,z \ u,L(u,w,v5))) * (x \ a(u,y,u \ z)) = a(w,v5,a(y,u * z,u) \ 1). [para(10016(a,1),15998(a,1,2,2))]. 16000 (x * a(y,z \ u,L(u,w,v5))) * (x \ a(u,y,u * z)) = a(w,v5,a(y,u * z,u) \ 1). [para(15009(a,1),15999(a,1,2,2))]. 16001 (x * a(y,z \ u,L(u,w,v5))) * (x \ a(y,u * z,u)) = a(w,v5,a(y,u * z,u) \ 1). [para(13641(a,2),16000(a,1,2,2))]. 16002 x * ((a(y,z \ u,L(u,w,v5)) \ x) \ a(y,u * z,u)) = a(w,v5,a(y,u * z,u) \ 1). [hyper(58,a,15926,a(flip),b,16001,a)]. 16003 x * ((x * a(y,z \ u,L(z,w,v5))) \ a(y,z * u,z)) = a(w,v5,a(y,z * u,z) \ 1). [para(14849(a,1),16002(a,1,2,1))]. 16004 x * ((x * a(y,z * u,L(z,w,v5))) \ a(y,z * u,z)) = a(w,v5,a(y,z * u,z) \ 1). [para(15994(a,1),16003(a,1,2,1,2))]. 16005 x * (x \ (a(y,z * u,L(z,w,v5)) \ a(y,z * u,z))) = a(w,v5,a(y,z * u,z) \ 1). [para(15860(a,1),16004(a,1,2))]. 16006 x * (x \ (y \ L(R(y,z * u,z),L(z,w,v5),z * u))) = a(w,v5,a(y,z * u,z) \ 1). [para(15134(a,1),16005(a,1,2,2))]. 16007 x * (x \ (y \ L(L(y,z,u \ z),L(z,w,v5),z * u))) = a(w,v5,a(y,z * u,z) \ 1). [para(15010(a,1),16006(a,1,2,2,2,1))]. 16008 x * (x \ (y \ L(L(y,z,u \ z),z,L(z * u,w,v5)))) = a(w,v5,a(y,z * u,z) \ 1). [para(15783(a,1),16007(a,1,2,2,2))]. 16009 x \ L(L(x,y,z \ y),y,L(y * z,u,w)) = a(u,w,a(x,y * z,y) \ 1). [hyper(230,a,16008,a)]. 16010 x \ L(L(x,y,z \ y),y,L(y * z,u,w)) = a(u,w,a(y,x \ 1,y * z)). [para(13650(a,2),16009(a,2,3))]. 16011 x \ L(L(x,y,z \ y),y,L(y * z,u,w)) = a(u,w,a(y,x,(y * z) \ 1)). [para(13643(a,1),16010(a,2,3))]. 16012 x \ L(L(x,y,z \ y),y,L(y * z,u,w)) = a(u,w,a(y,x,y * (z \ 1))). [para(15708(a,1),16011(a,2,3))]. 16013 x \ L(L(x,y,z \ y),y,L(y * z,u,w)) = a(u,w,a(y,x,z \ y)). [para(14959(a,1),16012(a,2,3))]. 16014 x \ L(L(x,y,z \ y),y,L(y * z,u,w)) = a(u,w,a(x,z \ y,y)). [para(13641(a,2),16013(a,2,3))]. 16015 x \ L(L(x,y,z \ y),y,L(y * z,u,w)) = a(u,w,a(x,y,z)). [hyper(272,a,15971,a(flip),b,16014,a),flip(a)]. 16016 (a(x,y,z) \ a(x,u,w)) * ((((a(x,u,w) \ a(x,y,z)) * v5) / L(x,z,y)) * L(x,w,u)) = v5 * (a(x,u,w) \ a(x,y,z)). [para(10262(a,1),15824(a,1,1))]. 16017 (a(x,y,z) \ a(x,u,w)) * (((L(x,w,u) * (L(x,z,y) \ v5)) / L(x,z,y)) * L(x,w,u)) = v5 * (a(x,u,w) \ a(x,y,z)). [para(15973(a,1),16016(a,1,2,1,1))]. 16018 (a(x,y,z) \ a(x,u,w)) * ((L(x,w,u) * (L(x,z,y) \ v5)) * (a(x,u,w) \ a(x,y,z))) = v5 * (a(x,u,w) \ a(x,y,z)). [para(15820(a,1),16017(a,1,2))]. 16019 a(x,y,z) * ((L(x,u,w) * (L(x,z,y) \ v5)) / a(x,y,z)) = v5 * (a(x,w,u) \ a(x,y,z)). [hyper(15825,a,16018,a)]. 16020 a(x,y,z) * (a(x,y,z) \ (L(x,u,w) * (L(x,z,y) \ v5))) = v5 * (a(x,w,u) \ a(x,y,z)). [para(14340(a,1),16019(a,1,2))]. 16021 a(x,y,z) * (L(x,z,y) * (a(x,u,w) \ (L(x,z,y) \ v5))) = v5 * (a(x,u,w) \ a(x,y,z)). [para(13779(a,1),16020(a,1,2))]. 16022 a(x,y,z) * (a(x,u,w) \ v5) = v5 * (a(x,u,w) \ a(x,y,z)). [para(15818(a,1),16021(a,1,2))]. 16023 x * (a(y,z,u) \ a(y,w,a(y,z,u) \ x)) = R(a(y,z,u) \ x,y,w). [hyper(13681,a,16022,a),flip(a)]. 16025 x * (a(y,z,u) \ a(y,w,x * a(y,u,z))) = R(a(y,z,u) \ x,y,w). [para(15907(a,1),16023(a,1,2,2))]. 16026 x * (a(y,z,u) \ a(y,w,x)) = R(a(y,z,u) \ x,y,w). [para(15961(a,1),16025(a,1,2,2))]. 16027 x * (a(y,z,u) \ a(x,y,w)) = R(a(y,z,u) \ x,y,w). [para(13641(a,1),16026(a,1,2,2))]. 16029 R(a(x,y,z) \ u,x,w) = a(x,y,z) \ R(u,x,w). [hyper(15213,a,16027,a),flip(a)]. 16030 R(a(x,y,z) \ u,y,w) = a(y,z,x) \ R(u,y,w). [para(13641(a,1),16029(a,1,1,1))]. 16031 R(a(x,y,z) \ u,y,w) = a(x,y,z) \ R(u,y,w). [hyper(272,a,13658,a(flip),b,16030,a),flip(a)]. 16032 (a(x,y,z) \ R(u,y,z)) / u = a(z,x \ u,y). [para(16031(a,1),15947(a,1,1))]. 16033 (x * a(y,z,u)) \ R(x,z,u) = a(u,y \ x,z). [hyper(58,a,15192,a(flip),b,16032,a)]. 16034 a(x,y,z) \ a(u,y,z) = a(z,x \ u,y). [hyper(58,a,15216,a(flip),b,16033,a)]. 16035 a(x,y,z) \ a(y,z,u) = a(z,x \ u,y). [para(13641(a,2),16034(a,1,2))]. 16036 x \ L(R(x,y,z),u,y) = a(y,u \ z,x). [hyper(58,a,15133,a(flip),b,16035,a)]. 16037 L(R(x,y,z),z,u) = x * a(x,u \ y,z). [para(16036(a,1),15806(a,1,2)),flip(a)]. 16039 L(R(x,y,z),z,u) = L(x,z,y \ u). [hyper(272,a,13654,a(flip),b,16037,a),flip(a)]. 16040 L(R(x,y,z),z,u) != w | L(x,z,y \ u) = w. [para(16037(a,2),14911(a,1))]. 16041 L(R(x,1 / y,z),z,u) = L(x,z,T(u * y,w)). [hyper(272,a,14822,a,b,16039,a),flip(a)]. 16042 L(R(x,T(y * z,z),u),u,((1 / z) \ y) * w) = L(x,u,w). [para(3722(a,1),16039(a,2,3))]. 16043 L(L(x,y,1 \ z),y,u) = L(x,y,T(u * z,w)). [para(14928(a,1),16041(a,1,1))]. 16044 L(L(x,y,z),y,u) = L(x,y,T(u * z,w)). [para(60(a,1),16043(a,1,1,3))]. 16045 L(L(x,y,z),y,u) = L(x,y,u * z). [hyper(272,a,14338,a(flip),b,16044,a),flip(a)]. 16047 L(L(x,y,z),y,u) != w | L(x,y,u * z) = w. [para(16044(a,2),7025(a,1))]. 16048 L(L(x,y,z),y,u) != w | L(x,y,z * u) = w. [para(16044(a,2),14879(a,1))]. 16049 L(R(L(x,y,z),u,y),y,w) = L(x,y,(u \ w) * z). [hyper(58,a,16039,a,b,16045,a)]. 16052 L(L(R(x,y,z),z,u),z,w) = L(x,z,(y \ w) * u). [para(24(a,1),16049(a,1,1))]. 16053 L(L(x,y,z \ u),y,w) = L(x,y,(z \ w) * u). [para(16039(a,1),16052(a,1,1))]. 16056 L(x,y,(z \ u) * w) != v5 | L(x,y,u * (z \ w)) = v5. [para(16053(a,1),16047(a,1))]. 16059 L(R(x,y * z,u),u,((1 / z) \ y) * w) = L(x,u,w). [para(14610(a,1),16042(a,1,1))]. 16060 L(R(x,y * z,u),u,y * ((1 / z) \ w)) = L(x,u,w). [hyper(16056,a,16059,a)]. 16062 L(R(x,y * z,u),u,y * (w * z)) = L(x,u,w). [hyper(15418,a,16060,a)]. 16063 L(x,y,(z * u) \ (z * (w * u))) = L(x,y,w). [hyper(16040,a,16062,a)]. 16064 L(x,y,L(T(z,u),u,w)) = L(x,y,z). [para(211(a,1),16063(a,1,3))]. 16065 L(x,y,L(z,u,w)) = L(x,y,z). [hyper(14716,a,16064,a)]. 16067 L(L(x,y,z),y,u) = L(x,y,z * L(u,w,v5)). [hyper(16048,a,16065,a),flip(a)]. 16078 L(x,y,z * L(u,w,v5)) = L(x,y,u * z). [hyper(16047,a,16067,a),flip(a)]. 16080 L(x,y,L(z * u,w,v5)) = L(x,y,u * L(z,v6,v7)). [hyper(272,a,16065,a,b,16078,a)]. 16081 L(x,y,L(z * u,w,v5)) = L(x,y,z * L(u,v6,v7)). [hyper(58,a,15847,a,b,16080,a)]. 16083 a(x,y,a(z,u,w)) = z \ L(L(z,u,w \ u),u,u * L(w,v5,v6)). [para(16081(a,1),16015(a,1,2)),flip(a)]. 16084 a(x,y,a(z,u,w)) = a(v5,v6,a(z,u,w)). [hyper(272,a,16083,a,b,16083,a)]. 16088 a(x,y,a(z,u,w)) = 1. [hyper(10254,a,16084,a),flip(a)]. 16116 a(a(x,y,z),u,w) = 1. [hyper(13693,a,16088,a)]. 16117 $F. [resolve(16116,a,59,a)]. ============================== end of proof ========================== ============================== STATISTICS ============================ Given=14602. Generated=334252031. Kept=16107. proofs=1. Usable=14600. Sos=1503. Demods=0. Limbo=0, Disabled=53. Hints=22565. Kept_by_rule=0, Deleted_by_rule=333459989. Forward_subsumed=775935. Back_subsumed=3. 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=172931. Nonunit_bsub_feature_tests=502. Megabytes=65.22. User_CPU=1965.98, System_CPU=93.66, Wall_clock=2060. ============================== end of statistics ===================== ============================== end of search ========================= THEOREM PROVED THEOREM PROVED Exiting with 1 proof. ------ process 15247 exit (max_proofs) ------  Process 15247 exit (max_proofs) Thu Jun 16 11:01:19 2022